Subgroups — #28328937

Order 13568.

2956 conjugacy classes of subgroups.

The subgroup lattice has 2428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291251	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291247	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291243	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291243	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291242	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291237	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291237	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291221	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291221	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291218	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×C₂²⋊#6157	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291216	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291208	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291200	C₂	1	1	yes	maximal, characteristic, complemented
22	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
23	#121×#6157	C₂	1	1	yes	maximal, characteristic, complemented
24	#120×#6157	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291176	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291169	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811571	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291154	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291151	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂²⋊C₄×#6157	C₂	1	1	yes	maximal, characteristic, complemented
31	#546×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂⁴×#6157	C₂²	1	1	yes	characteristic
33	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
34	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
36	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
37	C₂×D₄×#6157	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×#6157	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×#6157	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×#6157	C₂²	1	1	yes	characteristic, complemented
41	C₂×#13133296	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13133296	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
44	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
45	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
46	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
47	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
48	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic, complemented
50	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	#16811575	C₂²	1	1	yes	characteristic
55	#16811575	C₂²	1	1	yes	characteristic
56	#16811575	C₂²	1	1	yes	characteristic, complemented
57	#16811575	C₂²	1	1	yes	characteristic, complemented
58	#16811575	C₂²	1	1	yes	characteristic, complemented
59	#16811575	C₂²	1	1	yes	characteristic, complemented
60	#16811574	C₂²	1	1	yes	characteristic, complemented
61	#16811574	C₂²	1	1	yes	characteristic, complemented
62	#16811573	C₂²	1	1	yes	characteristic, complemented
63	#16811573	C₂²	1	1	yes	characteristic, complemented
64	#16811573	C₂²	1	1	yes	characteristic, complemented
65	#16811573	C₂²	1	1	yes	characteristic, complemented
66	#16811573	C₂²	1	1	yes	characteristic, complemented
67	#16811573	C₂²	1	1	yes	characteristic, complemented
68	#16811573	C₂²	1	1	yes	characteristic, complemented
69	#16811573	C₂²	1	1	yes	characteristic, complemented
70	#16811573	C₂²	1	1	yes	characteristic, complemented
71	#16811573	C₂²	1	1	yes	characteristic, complemented
72	#16811573	C₂²	1	1	yes	characteristic, complemented
73	#16811573	C₂²	1	1	yes	characteristic, complemented
74	#16811573	C₂²	1	1	yes	characteristic, complemented
75	#16811573	C₂²	1	1	yes	characteristic, complemented
76	#16811573	C₂²	1	1	yes	characteristic, complemented
77	#16811573	C₂²	1	1	yes	characteristic, complemented
78	#16811573	C₂²	1	1	yes	characteristic, complemented
79	#16811573	C₂²	1	1	yes	characteristic, complemented
80	#16811572	C₂²	1	1	yes	characteristic, complemented
81	#16811572	C₂²	1	1	yes	characteristic, complemented
82	#16811572	C₂²	1	1	yes	characteristic, complemented
83	#16811572	C₂²	1	1	yes	characteristic, complemented
84	#16811572	C₂²	1	1	yes	characteristic, complemented
85	#16811572	C₂²	1	1	yes	characteristic, complemented
86	#16811572	C₂²	1	1	yes	characteristic, complemented
87	#16811572	C₂²	1	1	yes	characteristic, complemented
88	#16811572	C₂²	1	1	yes	characteristic, complemented
89	#16811572	C₂²	1	1	yes	characteristic, complemented
90	#16811571	C₂²	1	1	yes	characteristic
91	#16811571	C₂²	1	1	yes	characteristic
92	#16811571	C₂²	1	1	yes	characteristic
93	#16811571	C₂²	1	1	yes	characteristic
94	#16811571	C₂²	1	1	yes	characteristic
95	#16811571	C₂²	1	1	yes	characteristic
96	#16811571	C₂²	1	1	yes	characteristic
97	#16811571	C₂²	1	1	yes	characteristic
98	#16811571	C₂²	1	1	yes	characteristic
99	#16811571	C₂²	1	1	yes	characteristic
100	#16811571	C₂²	1	1	yes	characteristic
101	#16811571	C₂²	1	1	yes	characteristic
102	#16811571	C₂²	1	1	yes	characteristic
103	#16811571	C₂²	1	1	yes	characteristic
104	#16811571	C₂²	1	1	yes	characteristic, complemented
105	#16811571	C₂²	1	1	yes	characteristic, complemented
106	#16811571	C₂²	1	1	yes	characteristic, complemented
107	#16811571	C₂²	1	1	yes	characteristic, complemented
108	#16811571	C₂²	1	1	yes	characteristic, complemented
109	#16811571	C₂²	1	1	yes	characteristic, complemented
110	#16811571	C₂²	1	1	yes	characteristic, complemented
111	#16811571	C₂²	1	1	yes	characteristic, complemented
112	#16811570	C₂²	1	1	yes	characteristic
113	#16811570	C₂²	1	1	yes	characteristic
114	#16811570	C₂²	1	1	yes	characteristic
115	#16811570	C₂²	1	1	yes	characteristic
116	#16811570	C₂²	1	1	yes	characteristic, complemented
117	#16811570	C₂²	1	1	yes	characteristic, complemented
118	#16811570	C₂²	1	1	yes	characteristic, complemented
119	#16811570	C₂²	1	1	yes	characteristic, complemented
120	#16811568	C₂²	1	1	yes	characteristic, complemented
121	#16811566	C₂²	1	1	yes	characteristic, complemented
122	#16811566	C₂²	1	1	yes	characteristic, complemented
123	#16811566	C₂²	1	1	yes	characteristic, complemented
124	#16811565	C₂²	1	1	yes	characteristic
125	#16811565	C₂²	1	1	yes	characteristic, complemented
126	#16811565	C₂²	1	1	yes	characteristic, complemented
127	#16811564	C₂²	1	1	yes	characteristic
128	#16811564	C₂²	1	1	yes	characteristic
129	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
130	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
131	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
132	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
133	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
134	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
135	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
136	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
137	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
138	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
139	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
140	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
141	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
142	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
143	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
144	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
145	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
146	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
147	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
148	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
149	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
150	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
152	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
153	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
157	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
158	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
159	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
160	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
161	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
162	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
163	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
165	#16811559	C₂²	1	1	yes	characteristic, complemented
166	#16811559	C₂²	1	1	yes	characteristic, complemented
167	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
168	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
169	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
173	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
174	#16811270	C₄	1	1	yes	characteristic, complemented
175	#16811269	C₄	1	1	yes	characteristic, complemented
176	#16811268	C₄	1	1	yes	characteristic, complemented
177	#16811267	C₄	1	1	yes	characteristic, complemented
178	#16811266	C₄	1	1	yes	characteristic, complemented
179	#16811265	C₄	1	1	yes	characteristic, complemented
180	#16811265	C₄	1	1	yes	characteristic, complemented
181	#16811264	C₄	1	1	yes	characteristic, complemented
182	#16811263	C₄	1	1	yes	characteristic, complemented
183	#16811263	C₄	1	1	yes	characteristic, complemented
184	#16811262	C₄	1	1	yes	characteristic, complemented
185	#16811262	C₄	1	1	yes	characteristic, complemented
186	#16811261	C₄	1	1	yes	characteristic, complemented
187	#16811260	C₄	1	1	yes	characteristic, complemented
188	#16811260	C₄	1	1	yes	characteristic, complemented
189	#124×D₅₃	C₂²	1	1	yes	characteristic
190	#123×D₅₃	C₂²	1	1	yes	characteristic
191	#123×D₅₃	C₂²	1	1	yes	characteristic
192	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
193	#121×D₅₃	C₂²	1	1	yes	characteristic
194	#121×D₅₃	C₂²	1	1	yes	characteristic
195	#121×D₅₃	C₂²	1	1	yes	characteristic
196	#120×D₅₃	C₂²	1	1	yes	characteristic
197	#120×D₅₃	C₂²	1	1	yes	characteristic
198	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#546	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	—	2	4	no	—
204	C₂³×#6157	—	4	2	no	—
205	C₂³×#6157	—	4	2	no	—
206	C₂³×#6157	C₂³	1	1	yes	characteristic
207	C₂³×#6157	C₂³	1	1	yes	characteristic
208	C₂³×#6157	C₂³	1	1	yes	characteristic
209	C₂³×#6157	C₂³	1	1	yes	characteristic
210	C₂³×#6157	C₂³	1	1	yes	characteristic
211	C₂³×#6157	C₂³	1	1	yes	characteristic
212	C₂³×#6157	C₂³	1	1	yes	characteristic
213	C₂³×#6157	C₂³	1	1	yes	characteristic
214	C₂³×#6157	C₂³	1	1	yes	characteristic
215	C₂³×#6157	C₂³	1	1	yes	characteristic
216	C₂³×#6157	C₂³	1	1	yes	characteristic
217	C₂³×#6157	C₂³	1	1	yes	characteristic
218	C₂³×#6157	C₂³	1	1	yes	characteristic
219	C₂³×#6157	C₂³	1	1	yes	characteristic
220	D₄×#6157	—	2	4	no	—
221	D₄×#6157	—	2	4	no	—
222	D₄×#6157	—	4	2	no	—
223	D₄×#6157	—	4	2	no	—
224	D₄×#6157	—	4	2	no	—
225	D₄×#6157	—	4	2	no	—
226	D₄×#6157	—	4	2	no	—
227	D₄×#6157	—	4	2	no	—
228	#13133296	—	4	2	no	—
229	#13133296	—	4	2	no	—
230	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#6157	—	2	4	no	—
243	C₂×C₂²⋊#6157	—	2	4	no	—
244	C₂×C₂²⋊#6157	—	2	4	no	—
245	C₂×C₂²⋊#6157	—	4	2	no	—
246	C₂×C₂²⋊#6157	—	4	2	no	—
247	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
281	C₂×C₄×#6157	—	4	2	no	—
282	C₂×C₄×#6157	—	4	2	no	—
283	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
284	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
285	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
286	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
287	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
288	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
289	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
290	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
291	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
292	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
293	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
294	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
295	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
296	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
297	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
298	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
299	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
300	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
301	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
302	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
335	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
336	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
337	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
338	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
339	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
340	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
341	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
342	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
343	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
344	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
345	C₂×#11719949	C₂×C₄	1	1	yes	characteristic, complemented
346	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
347	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
348	C₂×#11719945	C₂×C₄	1	1	yes	characteristic, complemented
349	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
350	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
351	C₂×#11719947	C₂×C₄	1	1	yes	characteristic, complemented
352	#41×D₅₃	—	4	2	no	—
353	#41×D₅₃	—	4	2	no	—
354	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
355	C₂²×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
356	C₂²×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
357	C₂²×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
358	C₂×D₄×D₅₃	—	4	2	no	—
359	C₂×D₄×D₅₃	—	4	2	no	—
360	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
361	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
362	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
363	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
364	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
365	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
366	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
367	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
368	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
369	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
370	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
371	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
372	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
373	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
374	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
375	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
376	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
377	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
378	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
379	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
404	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
405	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
410	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
411	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
416	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
417	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
423	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
430	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
432	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
433	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
434	#13133186	C₂×C₄	1	1	yes	characteristic, complemented
435	#13133186	C₂×C₄	1	1	yes	characteristic, complemented
436	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
437	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
438	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
439	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
440	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
441	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
442	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
443	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
444	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
445	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
446	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
447	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
448	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
449	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
450	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
451	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
452	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
453	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
454	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
455	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
456	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
458	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
459	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
461	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
462	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
463	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
464	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
465	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
466	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
467	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
468	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
469	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
470	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
471	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
472	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
473	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
474	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
475	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
476	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
477	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
478	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
479	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
480	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
481	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
482	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
483	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
484	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
485	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
486	C₄²×D₅₃	C₂³	1	1	yes	characteristic
487	C₂×#41×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
488	C₂²×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
489	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
490	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
491	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
492	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
493	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
494	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
495	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
496	#120×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
497	#120×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
498	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
499	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
500	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
501	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
502	C₂⁴×C₅₃	C₂²×C₄	1	1	yes	characteristic
503	C₂⁴×C₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂³×D₅₃	—	2	2	no	—
505	C₂³×D₅₃	—	2	2	no	—
506	C₂³×D₅₃	—	2	2	no	—
507	C₂³×D₅₃	—	2	2	no	—
508	C₂³×D₅₃	—	2	2	no	—
509	C₂³×D₅₃	—	2	2	no	—
510	C₂³×D₅₃	—	4	1	no	—
511	C₂³×D₅₃	—	4	1	no	—
512	C₂³×D₅₃	—	4	1	no	—
513	C₂³×D₅₃	—	4	1	no	—
514	C₂³×D₅₃	—	4	1	no	—
515	C₂³×D₅₃	—	4	1	no	—
516	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
517	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
518	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
519	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
520	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
521	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
522	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
523	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
524	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
525	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
526	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
527	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
528	C₂²×#6157	—	2	2	no	—
529	C₂²×#6157	—	2	2	no	—
530	C₂²×#6157	—	2	2	no	—
531	C₂²×#6157	—	2	2	no	—
532	C₂²×#6157	—	2	2	no	—
533	C₂²×#6157	—	2	2	no	—
534	C₂²×#6157	—	2	2	no	—
535	C₂²×#6157	—	2	2	no	—
536	C₂²×#6157	—	2	2	no	—
537	C₂²×#6157	—	2	2	no	—
538	C₂²×#6157	—	2	2	no	—
539	C₂²×#6157	—	2	2	no	—
540	C₂²×#6157	—	2	2	no	—
541	C₂²×#6157	—	2	2	no	—
542	C₂²×#6157	—	2	2	no	—
543	C₂²×#6157	—	2	2	no	—
544	C₂²×#6157	—	2	2	no	—
545	C₂²×#6157	—	2	2	no	—
546	C₂²×#6157	—	2	2	no	—
547	C₂²×#6157	—	2	2	no	—
548	C₂²×#6157	—	4	1	no	—
549	C₂²×#6157	—	4	1	no	—
550	C₂²×#6157	—	4	1	no	—
551	C₂²×#6157	—	4	1	no	—
552	C₂²×#6157	—	4	1	no	—
553	C₂²×#6157	—	4	1	no	—
554	C₂²×#6157	—	4	1	no	—
555	C₂²×#6157	—	4	1	no	—
556	C₂²×#6157	—	4	1	no	—
557	C₂²×#6157	—	4	1	no	—
558	C₂²×#6157	—	4	1	no	—
559	C₂²×#6157	—	4	1	no	—
560	C₂²×#6157	—	4	1	no	—
561	C₂²×#6157	—	4	1	no	—
562	C₂²×#6157	—	4	1	no	—
563	C₂²×#6157	—	4	1	no	—
564	C₂²×#6157	—	4	1	no	—
565	C₂²×#6157	—	4	1	no	—
566	C₂²×#6157	—	4	1	no	—
567	C₂²×#6157	—	4	1	no	—
568	C₂²×#6157	—	4	1	no	—
569	C₂²×#6157	—	4	16	no	—
570	C₂²×#6157	#41	1	4	yes	complemented
571	C₂²×#6157	C₂⁴	1	1	yes	characteristic
572	C₂²×#6157	C₂⁴	1	1	yes	characteristic
573	C₂²×#6157	C₂⁴	1	1	yes	characteristic
574	C₂²×#6157	C₂⁴	1	1	yes	characteristic
575	C₂²×#6157	C₂⁴	1	1	yes	characteristic
576	C₂²×#6157	C₂⁴	1	1	yes	characteristic
577	C₂²×#6157	C₂⁴	1	1	yes	characteristic
578	C₂²×#6157	C₂⁴	1	1	yes	characteristic
579	C₂²×#6157	C₂⁴	1	1	yes	characteristic
580	C₂²×#6157	C₂⁴	1	1	yes	characteristic
581	C₂²×#6157	C₂⁴	1	1	yes	characteristic
582	C₂²×#6157	C₂⁴	1	1	yes	characteristic
583	C₂²×#6157	C₂⁴	1	1	yes	characteristic
584	C₂²×#6157	C₂⁴	1	1	yes	characteristic
585	C₂²×#6157	C₂⁴	1	1	yes	characteristic
586	C₂²×#6157	C₂⁴	1	1	yes	characteristic
587	#41×C₅₃	—	4	2	no	—
588	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
589	C₂×D₄×C₅₃	—	4	2	no	—
590	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
592	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
593	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
596	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
597	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
598	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
599	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
600	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
601	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
602	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
603	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
604	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
605	C₂×C₂²⋊D₅₃	—	4	2	no	—
606	C₂×C₂²⋊D₅₃	—	4	2	no	—
607	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
617	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
618	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
619	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
620	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
621	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
622	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
623	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
624	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
625	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
626	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
627	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
628	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
629	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
630	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
631	#11719949	—	4	2	no	—
632	Q₈×D₅₃	—	4	1	no	—
633	Q₈×D₅₃	—	4	1	no	—
634	#11719947	—	4	2	no	—
635	#11719947	—	4	2	no	—
636	#11719947	—	4	2	no	—
637	D₄×D₅₃	—	2	2	no	—
638	D₄×D₅₃	—	2	2	no	—
639	D₄×D₅₃	—	2	2	no	—
640	D₄×D₅₃	—	2	2	no	—
641	D₄×D₅₃	—	2	2	no	—
642	D₄×D₅₃	—	2	2	no	—
643	D₄×D₅₃	—	2	2	no	—
644	D₄×D₅₃	—	2	2	no	—
645	D₄×D₅₃	—	4	1	no	—
646	D₄×D₅₃	—	4	1	no	—
647	D₄×D₅₃	—	4	1	no	—
648	D₄×D₅₃	—	4	1	no	—
649	D₄×D₅₃	—	4	1	no	—
650	D₄×D₅₃	—	4	1	no	—
651	D₄×D₅₃	—	4	1	no	—
652	D₄×D₅₃	—	4	1	no	—
653	D₄×D₅₃	—	4	1	no	—
654	D₄×D₅₃	—	4	1	no	—
655	D₄×D₅₃	—	4	2	no	—
656	D₄×D₅₃	—	4	2	no	—
657	D₄×D₅₃	—	4	2	no	—
658	D₄×D₅₃	—	4	2	no	—
659	#11719945	—	4	2	no	—
660	#11719945	—	4	2	no	—
661	#11719945	—	4	2	no	—
662	C₂×D₂₁₂	—	4	2	no	—
663	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
664	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
665	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
666	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
667	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
668	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
669	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
670	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic, complemented
671	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic, complemented
672	C₂×C₄×D₅₃	—	2	2	no	—
673	C₂×C₄×D₅₃	—	2	2	no	—
674	C₂×C₄×D₅₃	—	4	1	no	—
675	C₂×C₄×D₅₃	—	4	1	no	—
676	C₂×C₄×D₅₃	—	4	1	no	—
677	C₂×C₄×D₅₃	—	4	1	no	—
678	C₂×C₄×D₅₃	—	4	1	no	—
679	C₂×C₄×D₅₃	—	4	1	no	—
680	C₂×C₄×D₅₃	—	4	1	no	—
681	C₂×C₄×D₅₃	—	4	1	no	—
682	C₂×C₄×D₅₃	—	4	1	no	—
683	C₂×C₄×D₅₃	—	4	1	no	—
684	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
687	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
690	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
691	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
692	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
693	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
694	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
695	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
696	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
697	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
698	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
699	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
700	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
701	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
702	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
703	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
704	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
705	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic, complemented
706	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic, complemented
707	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic, complemented
708	C₂²⋊#6157	—	2	2	no	—
709	C₂²⋊#6157	—	2	2	no	—
710	C₂²⋊#6157	—	2	2	no	—
711	C₂²⋊#6157	—	2	2	no	—
712	C₂²⋊#6157	—	2	2	no	—
713	C₂²⋊#6157	—	2	2	no	—
714	C₂²⋊#6157	—	2	2	no	—
715	C₂²⋊#6157	—	2	2	no	—
716	C₂²⋊#6157	—	2	2	no	—
717	C₂²⋊#6157	—	2	2	no	—
718	C₂²⋊#6157	—	2	2	no	—
719	C₂²⋊#6157	—	2	2	no	—
720	C₂²⋊#6157	—	2	2	no	—
721	C₂²⋊#6157	—	2	2	no	—
722	C₂²⋊#6157	—	2	2	no	—
723	C₂²⋊#6157	—	2	2	no	—
724	C₂²⋊#6157	—	2	2	no	—
725	C₂²⋊#6157	—	2	2	no	—
726	C₂²⋊#6157	—	2	2	no	—
727	C₂²⋊#6157	—	2	2	no	—
728	C₂²⋊#6157	—	4	1	no	—
729	C₂²⋊#6157	—	4	1	no	—
730	C₂²⋊#6157	—	4	1	no	—
731	C₂²⋊#6157	—	4	1	no	—
732	C₂²⋊#6157	—	4	1	no	—
733	C₂²⋊#6157	—	4	1	no	—
734	C₂²⋊#6157	—	4	1	no	—
735	C₂²⋊#6157	—	4	1	no	—
736	C₂²⋊#6157	—	4	1	no	—
737	C₂²⋊#6157	—	4	1	no	—
738	C₂²⋊#6157	—	4	1	no	—
739	C₂²⋊#6157	—	4	1	no	—
740	C₂²⋊#6157	—	4	1	no	—
741	C₂²⋊#6157	#41	1	4	yes	complemented
742	C₄⋊#6157	—	2	2	no	—
743	C₄⋊#6157	—	2	2	no	—
744	C₄⋊#6157	—	2	2	no	—
745	C₄⋊#6157	—	4	1	no	—
746	C₄⋊#6157	—	4	1	no	—
747	C₄⋊#6157	—	4	1	no	—
748	C₄⋊#6157	—	4	1	no	—
749	C₄⋊#6157	—	4	1	no	—
750	C₄⋊#6157	—	4	1	no	—
751	C₄⋊#6157	—	4	1	no	—
752	C₄⋊#6157	—	4	1	no	—
753	C₄⋊#6157	—	4	1	no	—
754	C₄×#6157	—	2	2	no	—
755	C₄×#6157	—	2	2	no	—
756	C₄×#6157	—	2	2	no	—
757	C₄×#6157	—	2	2	no	—
758	C₄×#6157	—	4	1	no	—
759	C₄×#6157	—	4	1	no	—
760	C₄×#6157	—	4	1	no	—
761	C₄×#6157	—	4	1	no	—
762	C₄×#6157	—	4	1	no	—
763	C₄×#6157	—	4	1	no	—
764	C₄×#6157	—	4	1	no	—
765	C₄×#6157	—	4	1	no	—
766	C₄×#6157	—	4	1	no	—
767	C₄×#6157	—	4	1	no	—
768	C₄×#6157	—	4	1	no	—
769	C₄×#6157	—	4	1	no	—
770	C₄×#6157	—	4	1	no	—
771	C₄×#6157	—	4	1	no	—
772	C₄×#6157	—	4	1	no	—
773	C₄×#6157	—	4	1	no	—
774	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
775	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
776	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
777	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
778	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
779	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
780	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
781	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
782	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
783	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
784	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
785	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
786	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
787	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
788	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
789	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
790	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
791	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
792	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
793	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
794	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
795	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
796	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
797	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
798	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
799	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
800	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
801	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
802	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
803	#11719921	C₂²×C₄	1	1	yes	characteristic
804	#11719921	C₂²×C₄	1	1	yes	characteristic
805	#11719921	C₂²×C₄	1	1	yes	characteristic
806	#11719921	C₂²×C₄	1	1	yes	characteristic
807	#11719921	C₂²×C₄	1	1	yes	characteristic
808	#11719921	C₂²×C₄	1	1	yes	characteristic
809	#11719921	C₂²×C₄	1	1	yes	characteristic
810	#11719921	C₂²×C₄	1	1	yes	characteristic
811	#11719921	C₂²×C₄	1	1	yes	characteristic
812	#11719921	C₂²×C₄	1	1	yes	characteristic
813	#11719921	C₂²×C₄	1	1	yes	characteristic
814	#11719921	C₂²×C₄	1	1	yes	characteristic
815	#11719921	C₂²×C₄	1	1	yes	characteristic
816	#11719921	C₂²×C₄	1	1	yes	characteristic
817	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
818	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
819	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
820	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
821	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
822	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
823	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
824	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
825	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
826	#11719921	C₂²×C₄	1	1	yes	characteristic, complemented
827	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
828	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
829	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
830	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
831	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
832	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
833	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
834	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
835	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
836	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
837	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
838	#11719919	C₂²×C₄	1	1	yes	characteristic, complemented
839	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
840	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
841	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic, complemented
842	C₂³×C₅₃	—	2	2	no	—
843	C₂³×C₅₃	—	2	2	no	—
844	C₂³×C₅₃	—	2	2	no	—
845	C₂³×C₅₃	—	4	1	no	—
846	C₂³×C₅₃	—	4	1	no	—
847	C₂³×C₅₃	—	4	1	no	—
848	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
849	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
850	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
851	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
852	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
853	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
854	C₂²×D₅₃	—	2	1	no	—
855	C₂²×D₅₃	—	2	1	no	—
856	C₂²×D₅₃	—	2	1	no	—
857	C₂²×D₅₃	—	2	1	no	—
858	C₂²×D₅₃	—	2	1	no	—
859	C₂²×D₅₃	—	2	1	no	—
860	C₂²×D₅₃	—	2	1	no	—
861	C₂²×D₅₃	—	2	1	no	—
862	C₂²×D₅₃	—	2	2	no	—
863	C₂²×D₅₃	—	2	2	no	—
864	C₂²×D₅₃	—	2	2	no	—
865	C₂²×D₅₃	—	2	2	no	—
866	C₂²×D₅₃	—	2	2	no	—
867	C₂²×D₅₃	—	2	2	no	—
868	C₂²×D₅₃	—	2	2	no	—
869	C₂²×D₅₃	—	2	1	no	—
870	C₂²×D₅₃	—	2	1	no	—
871	C₂²×D₅₃	—	2	1	no	—
872	C₂²×D₅₃	—	2	1	no	—
873	C₂²×D₅₃	—	2	1	no	—
874	C₂²×D₅₃	—	2	1	no	—
875	C₂²×D₅₃	—	2	1	no	—
876	C₂²×D₅₃	—	2	1	no	—
877	C₂²×D₅₃	—	2	1	no	—
878	C₂²×D₅₃	—	2	1	no	—
879	C₂²×D₅₃	—	2	1	no	—
880	C₂²×D₅₃	—	2	1	no	—
881	C₂²×D₅₃	—	2	1	no	—
882	C₂²×D₅₃	—	2	1	no	—
883	C₂²×D₅₃	—	2	1	no	—
884	C₂²×D₅₃	—	2	1	no	—
885	C₂²×D₅₃	—	2	1	no	—
886	C₂²×D₅₃	—	2	1	no	—
887	C₂²×D₅₃	—	2	1	no	—
888	C₂²×D₅₃	—	2	1	no	—
889	C₂²×D₅₃	—	2	1	no	—
890	C₂²×D₅₃	—	2	1	no	—
891	C₂²×D₅₃	—	2	1	no	—
892	C₂²×D₅₃	—	2	1	no	—
893	C₂²×D₅₃	—	2	2	no	—
894	C₂²×D₅₃	—	2	2	no	—
895	C₂²×D₅₃	—	4	1	no	—
896	C₂²×D₅₃	—	4	1	no	—
897	C₂²×D₅₃	—	4	1	no	—
898	C₂²×D₅₃	—	4	4	no	—
899	C₂²×D₅₃	—	4	4	no	—
900	C₂²×D₅₃	—	4	4	no	—
901	C₂²×D₅₃	—	4	4	no	—
902	C₂²×D₅₃	—	4	1	no	—
903	C₂²×D₅₃	—	4	1	no	—
904	C₂²×D₅₃	—	4	1	no	—
905	C₂²×D₅₃	—	4	1	no	—
906	C₂²×D₅₃	—	4	1	no	—
907	C₂²×D₅₃	—	4	1	no	—
908	C₂²×D₅₃	—	8	2	no	—
909	C₂²×D₅₃	—	8	2	no	—
910	C₂²×D₅₃	—	8	2	no	—
911	C₂²×D₅₃	—	8	2	no	—
912	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
913	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
914	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
915	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
916	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
917	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
918	C₂²×D₅₃	C₂×#41	1	2	yes	—
919	C₂²×D₅₃	C₂×#41	1	2	yes	—
920	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
921	C₂²×D₅₃	H(5,𝔽₂)	1	2	yes	—
922	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
923	C₂×#6157	—	2	8	no	—
924	C₂×#6157	—	2	1	no	—
925	C₂×#6157	—	2	1	no	—
926	C₂×#6157	—	2	1	no	—
927	C₂×#6157	—	2	1	no	—
928	C₂×#6157	—	2	1	no	—
929	C₂×#6157	—	2	1	no	—
930	C₂×#6157	—	2	1	no	—
931	C₂×#6157	—	2	1	no	—
932	C₂×#6157	—	2	1	no	—
933	C₂×#6157	—	2	1	no	—
934	C₂×#6157	—	2	1	no	—
935	C₂×#6157	—	2	1	no	—
936	C₂×#6157	—	2	1	no	—
937	C₂×#6157	—	2	1	no	—
938	C₂×#6157	—	2	1	no	—
939	C₂×#6157	—	2	1	no	—
940	C₂×#6157	—	2	1	no	—
941	C₂×#6157	—	2	1	no	—
942	C₂×#6157	—	2	1	no	—
943	C₂×#6157	—	2	1	no	—
944	C₂×#6157	—	2	1	no	—
945	C₂×#6157	—	2	1	no	—
946	C₂×#6157	—	2	1	no	—
947	C₂×#6157	—	2	1	no	—
948	C₂×#6157	—	2	1	no	—
949	C₂×#6157	—	2	1	no	—
950	C₂×#6157	—	2	1	no	—
951	C₂×#6157	—	2	1	no	—
952	C₂×#6157	—	2	1	no	—
953	C₂×#6157	—	2	1	no	—
954	C₂×#6157	—	2	1	no	—
955	C₂×#6157	—	2	1	no	—
956	C₂×#6157	—	2	1	no	—
957	C₂×#6157	—	2	1	no	—
958	C₂×#6157	—	2	1	no	—
959	C₂×#6157	—	2	1	no	—
960	C₂×#6157	—	2	1	no	—
961	C₂×#6157	—	2	1	no	—
962	C₂×#6157	—	2	1	no	—
963	C₂×#6157	—	2	1	no	—
964	C₂×#6157	—	2	1	no	—
965	C₂×#6157	—	2	1	no	—
966	C₂×#6157	—	2	1	no	—
967	C₂×#6157	—	4	4	no	—
968	C₂×#6157	—	4	4	no	—
969	C₂×#6157	—	4	4	no	—
970	C₂×#6157	—	4	4	no	—
971	C₂×#6157	—	4	4	no	—
972	C₂×#6157	—	4	4	no	—
973	C₂×#6157	—	4	4	no	—
974	C₂×#6157	—	8	2	no	—
975	C₂×#6157	—	8	2	no	—
976	C₂×#6157	—	8	2	no	—
977	C₂×#6157	—	8	2	no	—
978	C₂×#6157	—	8	2	no	—
979	C₂×#6157	—	8	2	no	—
980	C₂×#6157	C₂×#41	1	2	yes	—
981	C₂×#6157	C₂×#41	1	2	yes	—
982	C₂×#6157	C₂×#41	1	2	yes	—
983	C₂×#6157	C₂×#41	1	2	yes	—
984	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
985	Q₈×C₅₃	—	4	1	no	—
986	D₄×C₅₃	—	2	2	no	—
987	D₄×C₅₃	—	2	2	no	—
988	D₄×C₅₃	—	2	2	no	—
989	D₄×C₅₃	—	2	2	no	—
990	D₄×C₅₃	—	4	1	no	—
991	D₄×C₅₃	—	4	1	no	—
992	D₄×C₅₃	—	4	1	no	—
993	D₄×C₅₃	—	4	1	no	—
994	D₄×C₅₃	—	4	1	no	—
995	C₂×C₄×C₅₃	—	2	2	no	—
996	C₂×C₄×C₅₃	—	4	1	no	—
997	C₂×C₄×C₅₃	—	4	1	no	—
998	C₂×C₄×C₅₃	—	4	1	no	—
999	C₂×C₄×C₅₃	—	4	1	no	—
1000	C₂×C₄×C₅₃	—	4	1	no	—
1001	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1002	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1003	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1004	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1005	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1006	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1007	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1008	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1009	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
1010	C₂²⋊D₅₃	—	2	2	no	—
1011	C₂²⋊D₅₃	—	2	2	no	—
1012	C₂²⋊D₅₃	—	2	2	no	—
1013	C₂²⋊D₅₃	—	2	2	no	—
1014	C₂²⋊D₅₃	—	2	2	no	—
1015	C₂²⋊D₅₃	—	2	2	no	—
1016	C₂²⋊D₅₃	—	2	2	no	—
1017	C₂²⋊D₅₃	—	2	2	no	—
1018	C₂²⋊D₅₃	—	4	1	no	—
1019	C₂²⋊D₅₃	—	4	1	no	—
1020	C₂²⋊D₅₃	—	4	1	no	—
1021	C₂²⋊D₅₃	—	4	1	no	—
1022	C₂²⋊D₅₃	—	4	1	no	—
1023	C₂²⋊D₅₃	—	4	1	no	—
1024	C₂²⋊D₅₃	—	4	1	no	—
1025	C₂²⋊D₅₃	—	4	1	no	—
1026	C₂²⋊D₅₃	—	4	1	no	—
1027	C₂²⋊D₅₃	—	4	1	no	—
1028	C₂×Dic₅₃	—	2	2	no	—
1029	C₂×Dic₅₃	—	4	1	no	—
1030	C₂×Dic₅₃	—	4	1	no	—
1031	C₂×Dic₅₃	—	4	1	no	—
1032	C₂×Dic₅₃	—	4	1	no	—
1033	C₂×Dic₅₃	—	4	1	no	—
1034	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1035	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1036	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1037	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1038	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1039	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1040	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1041	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1042	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
1043	D₂₁₂	—	2	2	no	—
1044	D₂₁₂	—	2	2	no	—
1045	D₂₁₂	—	2	2	no	—
1046	D₂₁₂	—	2	2	no	—
1047	D₂₁₂	—	4	1	no	—
1048	D₂₁₂	—	4	1	no	—
1049	D₂₁₂	—	4	1	no	—
1050	D₂₁₂	—	4	1	no	—
1051	D₂₁₂	—	4	1	no	—
1052	C₄×D₅₃	—	2	2	no	—
1053	C₄×D₅₃	—	2	2	no	—
1054	C₄×D₅₃	—	2	1	no	—
1055	C₄×D₅₃	—	2	1	no	—
1056	C₄×D₅₃	—	2	1	no	—
1057	C₄×D₅₃	—	2	1	no	—
1058	C₄×D₅₃	—	2	1	no	—
1059	C₄×D₅₃	—	2	1	no	—
1060	C₄×D₅₃	—	2	1	no	—
1061	C₄×D₅₃	—	2	1	no	—
1062	C₄×D₅₃	—	2	1	no	—
1063	C₄×D₅₃	—	2	1	no	—
1064	C₄×D₅₃	—	2	1	no	—
1065	C₄×D₅₃	—	2	1	no	—
1066	C₄×D₅₃	—	2	1	no	—
1067	C₄×D₅₃	—	2	1	no	—
1068	C₄×D₅₃	—	2	1	no	—
1069	C₄×D₅₃	—	2	1	no	—
1070	C₄×D₅₃	—	2	1	no	—
1071	C₄×D₅₃	—	2	1	no	—
1072	C₄×D₅₃	—	4	1	no	—
1073	C₄×D₅₃	—	4	1	no	—
1074	C₄×D₅₃	—	4	1	no	—
1075	C₄×D₅₃	—	4	1	no	—
1076	C₄×D₅₃	—	4	1	no	—
1077	C₄×D₅₃	—	4	1	no	—
1078	C₄×D₅₃	—	4	1	no	—
1079	C₄×D₅₃	—	4	1	no	—
1080	C₄×D₅₃	—	4	1	no	—
1081	C₄×D₅₃	—	4	1	no	—
1082	Dic₁₀₆	—	4	1	no	—
1083	Dic₁₀₆	—	4	1	no	—
1084	Dic₁₀₆	—	4	1	no	—
1085	#34302	—	53	1	no	maximal, Sylow
1086	C₂²×C₅₃	—	2	1	no	—
1087	C₂²×C₅₃	—	2	1	no	—
1088	C₂²×C₅₃	—	2	1	no	—
1089	C₂²×C₅₃	—	2	1	no	—
1090	C₂²×C₅₃	—	2	1	no	—
1091	C₂²×C₅₃	—	2	1	no	—
1092	C₂²×C₅₃	—	2	1	no	—
1093	C₂²×C₅₃	—	2	1	no	—
1094	C₂²×C₅₃	—	2	1	no	—
1095	C₂²×C₅₃	—	2	1	no	—
1096	C₂²×C₅₃	—	2	1	no	—
1097	C₂²×C₅₃	—	2	1	no	—
1098	C₂²×C₅₃	—	2	1	no	—
1099	C₂²×C₅₃	—	2	1	no	—
1100	C₂²×C₅₃	—	2	1	no	—
1101	C₂²×C₅₃	—	2	1	no	—
1102	C₂²×C₅₃	—	4	4	no	—
1103	C₂²×C₅₃	—	8	2	no	—
1104	C₂²×C₅₃	C₄×#41	1	2	yes	—
1105	C₂²×C₅₃	#518	1	2	yes	—
1106	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
1107	C₂×D₅₃	—	2	1	no	—
1108	C₂×D₅₃	—	2	1	no	—
1109	C₂×D₅₃	—	2	1	no	—
1110	C₂×D₅₃	—	2	1	no	—
1111	C₂×D₅₃	—	2	2	no	—
1112	C₂×D₅₃	—	2	2	no	—
1113	C₂×D₅₃	—	2	2	no	—
1114	C₂×D₅₃	—	2	2	no	—
1115	C₂×D₅₃	—	2	2	no	—
1116	C₂×D₅₃	—	2	2	no	—
1117	C₂×D₅₃	—	2	2	no	—
1118	C₂×D₅₃	—	2	2	no	—
1119	C₂×D₅₃	—	2	1	no	—
1120	C₂×D₅₃	—	2	1	no	—
1121	C₂×D₅₃	—	2	1	no	—
1122	C₂×D₅₃	—	2	1	no	—
1123	C₂×D₅₃	—	2	1	no	—
1124	C₂×D₅₃	—	2	1	no	—
1125	C₂×D₅₃	—	2	1	no	—
1126	C₂×D₅₃	—	2	1	no	—
1127	C₂×D₅₃	—	2	1	no	—
1128	C₂×D₅₃	—	2	1	no	—
1129	C₂×D₅₃	—	2	1	no	—
1130	C₂×D₅₃	—	2	1	no	—
1131	C₂×D₅₃	—	4	4	no	—
1132	C₂×D₅₃	—	4	4	no	—
1133	C₂×D₅₃	—	4	4	no	—
1134	C₂×D₅₃	—	4	1	no	—
1135	C₂×D₅₃	—	4	1	no	—
1136	C₂×D₅₃	—	4	1	no	—
1137	C₂×D₅₃	—	4	1	no	—
1138	C₂×D₅₃	—	4	1	no	—
1139	C₂×D₅₃	—	4	1	no	—
1140	C₂×D₅₃	—	4	1	no	—
1141	C₂×D₅₃	—	4	1	no	—
1142	C₂×D₅₃	—	4	1	no	—
1143	C₂×D₅₃	—	4	1	no	—
1144	C₂×D₅₃	—	4	1	no	—
1145	C₂×D₅₃	—	4	1	no	—
1146	C₂×D₅₃	—	4	1	no	—
1147	C₂×D₅₃	—	4	1	no	—
1148	C₂×D₅₃	—	4	1	no	—
1149	C₂×D₅₃	—	4	1	no	—
1150	C₂×D₅₃	—	8	2	no	—
1151	C₂×D₅₃	—	8	2	no	—
1152	C₂×D₅₃	—	8	2	no	—
1153	C₂×D₅₃	C₄×#41	1	2	yes	—
1154	C₂×D₅₃	#518	1	2	yes	—
1155	C₂×D₅₃	C₂²×#41	1	1	yes	characteristic
1156	C₂×D₅₃	C₂²×#41	1	1	yes	characteristic
1157	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1158	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1159	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1160	C₂×D₅₃	#585	1	1	yes	characteristic
1161	#6157	—	2	2	no	—
1162	#6157	—	2	2	no	—
1163	#6157	—	2	2	no	—
1164	#6157	—	2	2	no	—
1165	#6157	—	2	2	no	—
1166	#6157	—	4	1	no	—
1167	#6157	—	4	1	no	—
1168	#6157	—	4	1	no	—
1169	#6157	—	4	1	no	—
1170	#6157	—	4	1	no	—
1171	#6157	—	4	1	no	—
1172	#6157	—	4	1	no	—
1173	#6157	—	4	1	no	—
1174	#6157	—	4	1	no	—
1175	#6157	—	4	1	no	—
1176	#6157	—	4	1	no	—
1177	C₄×C₅₃	—	2	1	no	—
1178	C₄×C₅₃	—	2	1	no	—
1179	C₄×C₅₃	—	2	1	no	—
1180	C₄×C₅₃	—	2	1	no	—
1181	C₄×C₅₃	—	2	1	no	—
1182	C₄×C₅₃	—	2	1	no	—
1183	C₄×C₅₃	—	2	1	no	—
1184	C₄×C₅₃	—	2	1	no	—
1185	C₄×C₅₃	—	2	1	no	—
1186	Dic₅₃	—	2	1	no	—
1187	Dic₅₃	—	2	1	no	—
1188	Dic₅₃	—	2	1	no	—
1189	Dic₅₃	—	2	1	no	—
1190	Dic₅₃	—	2	1	no	—
1191	Dic₅₃	—	2	1	no	—
1192	Dic₅₃	—	2	1	no	—
1193	Dic₅₃	—	2	1	no	—
1194	Dic₅₃	—	2	1	no	—
1195	C₂×#546	—	53	1	no	—
1196	#2374	—	53	1	no	—
1197	#2372	—	53	1	no	—
1198	#2368	—	53	1	no	—
1199	#2364	—	53	1	no	—
1200	#2364	—	53	1	no	—
1201	#2363	—	53	1	no	—
1202	#2359	—	53	1	no	—
1203	#2358	—	53	1	no	—
1204	#2358	—	53	1	no	—
1205	#2353	—	53	1	no	—
1206	#2353	—	53	1	no	—
1207	#2342	—	53	1	no	—
1208	#2342	—	53	1	no	—
1209	#2339	—	53	1	no	—
1210	D₄×C₂²⋊C₄	—	53	1	no	—
1211	#2337	—	53	1	no	—
1212	#2335	—	53	1	no	—
1213	#2333	—	53	1	no	—
1214	#2333	—	53	1	no	—
1215	#2329	—	53	1	no	—
1216	#2321	—	53	1	no	—
1217	C₄×#123	—	53	1	no	—
1218	C₄×#121	—	53	1	no	—
1219	C₄×#120	—	53	1	no	—
1220	#2297	—	53	1	no	—
1221	#2290	—	53	1	no	—
1222	C₂×#386	—	53	1	no	—
1223	#2275	—	53	1	no	—
1224	#2273	—	53	1	no	—
1225	C₂×C₄×C₂²⋊C₄	—	53	1	no	—
1226	C₂×C₅₃	—	2	2	no	—
1227	C₂×C₅₃	—	2	2	no	—
1228	C₂×C₅₃	—	4	1	no	—
1229	C₂×C₅₃	—	4	1	no	—
1230	C₂×C₅₃	—	4	1	no	—
1231	C₂×C₅₃	—	4	1	no	—
1232	C₂×C₅₃	C₂×C₄×#41	1	1	yes	characteristic
1233	C₂×C₅₃	C₂×#518	1	1	yes	characteristic
1234	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1235	D₅₃	—	2	2	no	—
1236	D₅₃	—	2	2	no	—
1237	D₅₃	—	4	1	no	—
1238	D₅₃	—	4	1	no	—
1239	D₅₃	—	4	1	no	—
1240	D₅₃	—	4	1	no	—
1241	D₅₃	#3490	1	1	yes	characteristic
1242	D₅₃	#3494	1	1	yes	characteristic
1243	D₅₃	#3513	1	1	yes	characteristic
1244	D₅₃	#3519	1	1	yes	characteristic
1245	C₂²×#41	—	53	1	no	—
1246	C₂³×D₄	—	53	1	no	—
1247	C₂⁴×C₄	—	53	1	no	—
1248	#546	—	53	1	no	—
1249	#546	—	53	1	no	—
1250	#546	—	53	1	no	—
1251	#546	—	53	1	no	—
1252	#546	—	53	1	no	—
1253	#546	—	53	1	no	—
1254	#546	—	53	1	no	—
1255	#546	—	53	1	no	—
1256	#546	—	53	1	no	—
1257	#546	—	53	1	no	—
1258	#546	—	53	1	no	—
1259	#546	—	53	1	no	—
1260	#546	—	53	1	no	—
1261	#546	—	53	1	no	—
1262	#546	—	53	1	no	—
1263	#546	#6157	1	1	yes	characteristic, complemented
1264	C₂×#124	—	53	1	no	—
1265	C₂×#123	—	53	1	no	—
1266	C₂×#123	—	53	1	no	—
1267	C₂×C₂²⋊Q₈	—	53	1	no	—
1268	C₂×#121	—	53	1	no	—
1269	C₂×#121	—	53	1	no	—
1270	C₂×#121	—	53	1	no	—
1271	C₂×#120	—	53	1	no	—
1272	C₂×#120	—	53	1	no	—
1273	C₂×C₄×D₄	—	53	1	no	—
1274	C₂×C₄×D₄	—	53	1	no	—
1275	C₂×C₄×D₄	—	53	1	no	—
1276	C₂×C₄×D₄	—	53	1	no	—
1277	C₂×C₄×D₄	—	53	1	no	—
1278	C₂×C₄×D₄	—	53	1	no	—
1279	C₂×C₄×D₄	—	53	1	no	—
1280	C₂×C₄×D₄	—	53	1	no	—
1281	C₂×C₄×D₄	—	53	1	no	—
1282	C₂×C₄×D₄	—	53	1	no	—
1283	C₂×#117	—	53	1	no	—
1284	C₂×#117	—	53	1	no	—
1285	C₂²×C₂²⋊C₄	—	53	1	no	—
1286	C₂²×C₂²⋊C₄	—	53	1	no	—
1287	C₂²×C₂²⋊C₄	—	53	1	no	—
1288	C₂²×C₂²⋊C₄	—	53	1	no	—
1289	C₂²×C₂²⋊C₄	—	53	1	no	—
1290	C₂²×C₂²⋊C₄	—	53	1	no	—
1291	C₂²×C₂²⋊C₄	—	53	1	no	—
1292	C₂²×C₄²	—	53	1	no	—
1293	C₂²×C₄²	—	53	1	no	—
1294	#391	—	53	1	no	—
1295	#391	—	53	1	no	—
1296	#391	—	53	1	no	—
1297	#391	—	53	1	no	—
1298	#390	—	53	1	no	—
1299	#390	—	53	1	no	—
1300	#390	—	53	1	no	—
1301	#390	—	53	1	no	—
1302	#390	—	53	1	no	—
1303	#390	—	53	1	no	—
1304	#389	—	53	1	no	—
1305	#389	—	53	1	no	—
1306	#388	—	53	1	no	—
1307	#388	—	53	1	no	—
1308	#388	—	53	1	no	—
1309	#388	—	53	1	no	—
1310	#388	—	53	1	no	—
1311	#388	—	53	1	no	—
1312	#388	—	53	1	no	—
1313	#388	—	53	1	no	—
1314	#388	—	53	1	no	—
1315	#388	—	53	1	no	—
1316	#388	—	53	1	no	—
1317	#388	—	53	1	no	—
1318	#388	—	53	1	no	—
1319	#388	—	53	1	no	—
1320	#388	—	53	1	no	—
1321	#388	—	53	1	no	—
1322	#388	—	53	1	no	—
1323	#388	—	53	1	no	—
1324	#387	—	53	1	no	—
1325	#387	—	53	1	no	—
1326	#387	—	53	1	no	—
1327	#387	—	53	1	no	—
1328	#387	—	53	1	no	—
1329	#387	—	53	1	no	—
1330	#387	—	53	1	no	—
1331	#387	—	53	1	no	—
1332	#387	—	53	1	no	—
1333	#387	—	53	1	no	—
1334	#386	—	53	1	no	—
1335	#386	—	53	1	no	—
1336	#386	—	53	1	no	—
1337	#386	—	53	1	no	—
1338	#386	—	53	1	no	—
1339	#386	—	53	1	no	—
1340	#386	—	53	1	no	—
1341	#386	—	53	1	no	—
1342	#386	—	53	1	no	—
1343	#386	—	53	1	no	—
1344	#386	—	53	1	no	—
1345	#386	—	53	1	no	—
1346	#386	—	53	1	no	—
1347	#386	—	53	1	no	—
1348	#386	—	53	1	no	—
1349	#386	—	53	1	no	—
1350	#386	—	53	1	no	—
1351	#386	—	53	1	no	—
1352	#386	—	53	1	no	—
1353	#386	—	53	1	no	—
1354	#386	—	53	1	no	—
1355	#386	—	53	1	no	—
1356	#385	—	53	1	no	—
1357	#385	—	53	1	no	—
1358	#385	—	53	1	no	—
1359	#385	—	53	1	no	—
1360	#385	—	53	1	no	—
1361	#385	—	53	1	no	—
1362	#385	—	53	1	no	—
1363	#385	—	53	1	no	—
1364	#383	—	53	1	no	—
1365	#381	—	53	1	no	—
1366	#381	—	53	1	no	—
1367	#381	—	53	1	no	—
1368	#380	—	53	1	no	—
1369	#380	—	53	1	no	—
1370	#380	—	53	1	no	—
1371	#379	—	53	1	no	—
1372	#379	—	53	1	no	—
1373	C₄×C₄⋊C₄	—	53	1	no	—
1374	C₄×C₄⋊C₄	—	53	1	no	—
1375	C₄×C₄⋊C₄	—	53	1	no	—
1376	C₄×C₄⋊C₄	—	53	1	no	—
1377	C₄×C₄⋊C₄	—	53	1	no	—
1378	C₄×C₂²⋊C₄	—	53	1	no	—
1379	C₄×C₂²⋊C₄	—	53	1	no	—
1380	C₄×C₂²⋊C₄	—	53	1	no	—
1381	C₄×C₂²⋊C₄	—	53	1	no	—
1382	C₄×C₂²⋊C₄	—	53	1	no	—
1383	C₄×C₂²⋊C₄	—	53	1	no	—
1384	C₄×C₂²⋊C₄	—	53	1	no	—
1385	C₄×C₂²⋊C₄	—	53	1	no	—
1386	C₄×C₂²⋊C₄	—	53	1	no	—
1387	C₄×C₂²⋊C₄	—	53	1	no	—
1388	C₄×C₂²⋊C₄	—	53	1	no	—
1389	C₄×C₂²⋊C₄	—	53	1	no	—
1390	C₄×C₂²⋊C₄	—	53	1	no	—
1391	C₄×C₂²⋊C₄	—	53	1	no	—
1392	C₄×C₂²⋊C₄	—	53	1	no	—
1393	C₄×C₂²⋊C₄	—	53	1	no	—
1394	C₄×C₂²⋊C₄	—	53	1	no	—
1395	C₄×C₂²⋊C₄	—	53	1	no	—
1396	C₄×C₂²⋊C₄	—	53	1	no	—
1397	C₄×C₂²⋊C₄	—	53	1	no	—
1398	C₄×C₂²⋊C₄	—	53	1	no	—
1399	C₄×C₂²⋊C₄	—	53	1	no	—
1400	C₄×C₂²⋊C₄	—	53	1	no	—
1401	C₄×C₂²⋊C₄	—	53	1	no	—
1402	C₄×C₂²⋊C₄	—	53	1	no	—
1403	C₄×C₂²⋊C₄	—	53	1	no	—
1404	C₄×C₂²⋊C₄	—	53	1	no	—
1405	C₄×C₂²⋊C₄	—	53	1	no	—
1406	C₄×C₂²⋊C₄	—	53	1	no	—
1407	C₄×C₂²⋊C₄	—	53	1	no	—
1408	C₄×C₂²⋊C₄	—	53	1	no	—
1409	#376	—	53	1	no	—
1410	#376	—	53	1	no	—
1411	C₂×#95	—	53	1	no	—
1412	C₂×#95	—	53	1	no	—
1413	C₂×#95	—	53	1	no	—
1414	C₂×#95	—	53	1	no	—
1415	C₂×#95	—	53	1	no	—
1416	C₅₃	#34302	1	1	yes	characteristic, complemented, Sylow
1417	C₂⁵	—	53	1	no	—
1418	C₂⁵	—	53	1	no	—
1419	C₂×#41	—	53	1	no	—
1420	C₂×#41	—	53	1	no	—
1421	C₂×#41	—	53	1	no	—
1422	C₂×#41	—	53	1	no	—
1423	C₂×#41	—	53	1	no	—
1424	C₂×#41	—	53	1	no	—
1425	C₂×#41	—	53	1	no	—
1426	C₂×#41	—	212	2	no	—
1427	C₂×#41	—	212	2	no	—
1428	C₂×#41	C₂×#6157	1	1	yes	characteristic, complemented
1429	C₂²×Q₈	—	53	1	no	—
1430	C₂²×D₄	—	53	1	no	—
1431	C₂²×D₄	—	53	1	no	—
1432	C₂²×D₄	—	53	1	no	—
1433	C₂²×D₄	—	53	1	no	—
1434	C₂²×D₄	—	53	1	no	—
1435	C₂²×D₄	—	53	1	no	—
1436	C₂²×D₄	—	53	1	no	—
1437	C₂²×D₄	—	53	1	no	—
1438	C₂²×D₄	—	53	1	no	—
1439	C₂²×D₄	—	53	1	no	—
1440	C₂²×D₄	—	53	1	no	—
1441	C₂²×D₄	—	53	1	no	—
1442	C₂²×D₄	—	53	1	no	—
1443	C₂²×D₄	—	53	1	no	—
1444	C₂²×D₄	—	53	1	no	—
1445	C₂²×D₄	—	53	1	no	—
1446	C₂²×D₄	—	212	2	no	—
1447	C₂²×D₄	—	212	2	no	—
1448	C₂²×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1449	C₂³×C₄	—	53	1	no	—
1450	C₂³×C₄	—	53	1	no	—
1451	C₂³×C₄	—	53	1	no	—
1452	C₂³×C₄	—	53	1	no	—
1453	C₂³×C₄	—	53	1	no	—
1454	C₂³×C₄	—	53	1	no	—
1455	C₂³×C₄	—	53	1	no	—
1456	C₂³×C₄	—	53	1	no	—
1457	C₂³×C₄	—	53	1	no	—
1458	C₂³×C₄	—	53	1	no	—
1459	C₂³×C₄	—	53	1	no	—
1460	C₂³×C₄	—	53	1	no	—
1461	C₂³×C₄	—	53	1	no	—
1462	C₂³×C₄	—	53	1	no	—
1463	C₂³×C₄	—	53	1	no	—
1464	C₂³×C₄	—	53	1	no	—
1465	C₂³×C₄	—	53	1	no	—
1466	C₂³×C₄	—	53	1	no	—
1467	C₂³×C₄	—	53	1	no	—
1468	C₂³×C₄	—	53	1	no	—
1469	C₂³×C₄	—	106	4	no	—
1470	C₂³×C₄	—	212	2	no	—
1471	C₂³×C₄	—	212	2	no	—
1472	#124	—	53	1	no	—
1473	#124	—	53	1	no	—
1474	#124	—	53	1	no	—
1475	#124	—	53	1	no	—
1476	#124	—	53	1	no	—
1477	#124	—	53	1	no	—
1478	#124	—	53	1	no	—
1479	#124	C₂×#6157	1	1	yes	characteristic, complemented
1480	#123	—	53	1	no	—
1481	#123	—	53	1	no	—
1482	#123	—	53	1	no	—
1483	#123	—	53	1	no	—
1484	#123	—	53	1	no	—
1485	#123	—	53	1	no	—
1486	#123	—	53	1	no	—
1487	#123	—	53	1	no	—
1488	#123	—	53	1	no	—
1489	#123	—	53	1	no	—
1490	#123	—	53	1	no	—
1491	#123	—	53	1	no	—
1492	#123	—	53	1	no	—
1493	#123	—	53	1	no	—
1494	#123	C₂×#6157	1	1	yes	characteristic, complemented
1495	#123	C₂×#6157	1	1	yes	characteristic, complemented
1496	C₂²⋊Q₈	—	53	1	no	—
1497	C₂²⋊Q₈	—	53	1	no	—
1498	C₂²⋊Q₈	—	53	1	no	—
1499	C₂²⋊Q₈	—	53	1	no	—
1500	C₂²⋊Q₈	—	53	1	no	—
1501	C₂²⋊Q₈	—	53	1	no	—
1502	C₂²⋊Q₈	—	53	1	no	—
1503	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1504	#121	—	53	1	no	—
1505	#121	—	53	1	no	—
1506	#121	—	53	1	no	—
1507	#121	—	53	1	no	—
1508	#121	—	53	1	no	—
1509	#121	—	53	1	no	—
1510	#121	—	53	1	no	—
1511	#121	—	53	1	no	—
1512	#121	—	53	1	no	—
1513	#121	—	53	1	no	—
1514	#121	—	53	1	no	—
1515	#121	—	53	1	no	—
1516	#121	—	53	1	no	—
1517	#121	—	53	1	no	—
1518	#121	—	53	1	no	—
1519	#121	—	53	1	no	—
1520	#121	—	53	1	no	—
1521	#121	—	53	1	no	—
1522	#121	—	53	1	no	—
1523	#121	—	53	1	no	—
1524	#121	—	53	1	no	—
1525	#121	C₂×#6157	1	1	yes	characteristic, complemented
1526	#121	C₂×#6157	1	1	yes	characteristic, complemented
1527	#121	C₂×#6157	1	1	yes	characteristic, complemented
1528	#120	—	53	1	no	—
1529	#120	—	53	1	no	—
1530	#120	—	53	1	no	—
1531	#120	—	53	1	no	—
1532	#120	—	53	1	no	—
1533	#120	—	53	1	no	—
1534	#120	—	53	1	no	—
1535	#120	—	53	1	no	—
1536	#120	—	53	1	no	—
1537	#120	—	53	1	no	—
1538	#120	—	53	1	no	—
1539	#120	—	53	1	no	—
1540	#120	—	53	1	no	—
1541	#120	—	53	1	no	—
1542	#120	C₂×#6157	1	1	yes	characteristic, complemented
1543	#120	C₂×#6157	1	1	yes	characteristic, complemented
1544	C₄×D₄	—	53	1	no	—
1545	C₄×D₄	—	53	1	no	—
1546	C₄×D₄	—	53	1	no	—
1547	C₄×D₄	—	53	1	no	—
1548	C₄×D₄	—	53	1	no	—
1549	C₄×D₄	—	53	1	no	—
1550	C₄×D₄	—	53	1	no	—
1551	C₄×D₄	—	53	1	no	—
1552	C₄×D₄	—	53	1	no	—
1553	C₄×D₄	—	53	1	no	—
1554	C₄×D₄	—	53	1	no	—
1555	C₄×D₄	—	53	1	no	—
1556	C₄×D₄	—	53	1	no	—
1557	C₄×D₄	—	53	1	no	—
1558	C₄×D₄	—	106	4	no	—
1559	C₄×D₄	—	106	4	no	—
1560	C₄×D₄	—	212	2	no	—
1561	C₄×D₄	—	212	2	no	—
1562	C₄×D₄	—	212	2	no	—
1563	C₄×D₄	—	212	2	no	—
1564	C₄×D₄	—	212	2	no	—
1565	C₄×D₄	—	212	2	no	—
1566	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1567	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1568	#117	—	212	2	no	—
1569	#117	—	212	2	no	—
1570	C₂×C₄⋊C₄	—	53	1	no	—
1571	C₂×C₄⋊C₄	—	53	1	no	—
1572	C₂×C₄⋊C₄	—	53	1	no	—
1573	C₂×C₄⋊C₄	—	53	1	no	—
1574	C₂×C₄⋊C₄	—	53	1	no	—
1575	C₂×C₄⋊C₄	—	53	1	no	—
1576	C₂×C₄⋊C₄	—	53	1	no	—
1577	C₂×C₄⋊C₄	—	53	1	no	—
1578	C₂×C₄⋊C₄	—	53	1	no	—
1579	C₂×C₄⋊C₄	—	53	1	no	—
1580	C₂×C₄⋊C₄	—	53	1	no	—
1581	C₂×C₄⋊C₄	—	53	1	no	—
1582	C₂×C₄⋊C₄	—	53	1	no	—
1583	C₂×C₄⋊C₄	—	53	1	no	—
1584	C₂×C₄⋊C₄	—	53	1	no	—
1585	C₂×C₄⋊C₄	—	53	1	no	—
1586	C₂×C₂²⋊C₄	—	53	1	no	—
1587	C₂×C₂²⋊C₄	—	53	1	no	—
1588	C₂×C₂²⋊C₄	—	53	1	no	—
1589	C₂×C₂²⋊C₄	—	53	1	no	—
1590	C₂×C₂²⋊C₄	—	53	1	no	—
1591	C₂×C₂²⋊C₄	—	53	1	no	—
1592	C₂×C₂²⋊C₄	—	53	1	no	—
1593	C₂×C₂²⋊C₄	—	53	1	no	—
1594	C₂×C₂²⋊C₄	—	53	1	no	—
1595	C₂×C₂²⋊C₄	—	53	1	no	—
1596	C₂×C₂²⋊C₄	—	53	1	no	—
1597	C₂×C₂²⋊C₄	—	53	1	no	—
1598	C₂×C₂²⋊C₄	—	53	1	no	—
1599	C₂×C₂²⋊C₄	—	53	1	no	—
1600	C₂×C₂²⋊C₄	—	53	1	no	—
1601	C₂×C₂²⋊C₄	—	53	1	no	—
1602	C₂×C₂²⋊C₄	—	53	1	no	—
1603	C₂×C₂²⋊C₄	—	53	1	no	—
1604	C₂×C₂²⋊C₄	—	53	1	no	—
1605	C₂×C₂²⋊C₄	—	53	1	no	—
1606	C₂×C₂²⋊C₄	—	53	1	no	—
1607	C₂×C₂²⋊C₄	—	53	1	no	—
1608	C₂×C₂²⋊C₄	—	53	1	no	—
1609	C₂×C₂²⋊C₄	—	53	1	no	—
1610	C₂×C₂²⋊C₄	—	53	1	no	—
1611	C₂×C₂²⋊C₄	—	53	1	no	—
1612	C₂×C₂²⋊C₄	—	53	1	no	—
1613	C₂×C₂²⋊C₄	—	53	1	no	—
1614	C₂×C₂²⋊C₄	—	53	1	no	—
1615	C₂×C₂²⋊C₄	—	53	1	no	—
1616	C₂×C₂²⋊C₄	—	53	1	no	—
1617	C₂×C₂²⋊C₄	—	53	1	no	—
1618	C₂×C₂²⋊C₄	—	53	1	no	—
1619	C₂×C₂²⋊C₄	—	53	1	no	—
1620	C₂×C₂²⋊C₄	—	53	1	no	—
1621	C₂×C₂²⋊C₄	—	53	1	no	—
1622	C₂×C₂²⋊C₄	—	53	1	no	—
1623	C₂×C₂²⋊C₄	—	53	1	no	—
1624	C₂×C₂²⋊C₄	—	53	1	no	—
1625	C₂×C₂²⋊C₄	—	53	1	no	—
1626	C₂×C₂²⋊C₄	—	53	1	no	—
1627	C₂×C₂²⋊C₄	—	53	1	no	—
1628	C₂×C₂²⋊C₄	—	53	1	no	—
1629	C₂×C₂²⋊C₄	—	53	1	no	—
1630	C₂×C₂²⋊C₄	—	53	1	no	—
1631	C₂×C₂²⋊C₄	—	53	1	no	—
1632	C₂×C₂²⋊C₄	—	53	1	no	—
1633	C₂×C₂²⋊C₄	—	53	1	no	—
1634	C₂×C₂²⋊C₄	—	53	1	no	—
1635	C₂×C₂²⋊C₄	—	53	1	no	—
1636	C₂×C₂²⋊C₄	—	53	1	no	—
1637	C₂×C₂²⋊C₄	—	53	1	no	—
1638	C₂×C₂²⋊C₄	—	53	1	no	—
1639	C₂×C₂²⋊C₄	—	53	1	no	—
1640	C₂×C₂²⋊C₄	—	53	1	no	—
1641	C₂×C₂²⋊C₄	—	53	1	no	—
1642	C₂×C₂²⋊C₄	—	53	1	no	—
1643	C₂×C₂²⋊C₄	—	53	1	no	—
1644	C₂×C₂²⋊C₄	—	53	1	no	—
1645	C₂×C₂²⋊C₄	—	53	1	no	—
1646	C₂×C₂²⋊C₄	—	106	4	no	—
1647	C₂×C₂²⋊C₄	—	106	4	no	—
1648	C₂×C₂²⋊C₄	—	106	4	no	—
1649	C₂×C₂²⋊C₄	—	212	2	no	—
1650	C₂×C₂²⋊C₄	—	212	2	no	—
1651	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1652	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1653	C₂×C₄²	—	53	1	no	—
1654	C₂×C₄²	—	53	1	no	—
1655	C₂×C₄²	—	53	1	no	—
1656	C₂×C₄²	—	53	1	no	—
1657	C₂×C₄²	—	53	1	no	—
1658	C₂×C₄²	—	53	1	no	—
1659	C₂×C₄²	—	53	1	no	—
1660	C₂×C₄²	—	53	1	no	—
1661	C₂×C₄²	—	53	1	no	—
1662	C₂×C₄²	—	53	1	no	—
1663	C₂×C₄²	—	53	1	no	—
1664	C₂×C₄²	—	53	1	no	—
1665	C₂×C₄²	—	53	1	no	—
1666	C₂×C₄²	—	53	1	no	—
1667	C₂×C₄²	—	53	1	no	—
1668	C₂×C₄²	—	53	1	no	—
1669	C₂×C₄²	—	53	1	no	—
1670	C₂×C₄²	—	53	1	no	—
1671	C₂×C₄²	—	53	1	no	—
1672	C₂×C₄²	—	53	1	no	—
1673	C₂×C₄²	—	53	1	no	—
1674	C₂×C₄²	—	212	2	no	—
1675	C₂×C₄²	—	212	2	no	—
1676	#95	—	53	1	no	—
1677	#95	—	53	1	no	—
1678	#95	—	53	1	no	—
1679	#95	—	53	1	no	—
1680	#95	—	53	1	no	—
1681	#95	—	53	1	no	—
1682	#95	—	53	1	no	—
1683	#95	—	53	1	no	—
1684	#95	—	53	1	no	—
1685	#95	—	53	1	no	—
1686	#95	—	53	1	no	—
1687	#95	—	53	1	no	—
1688	#95	—	53	1	no	—
1689	#95	—	53	1	no	—
1690	#95	—	53	1	no	—
1691	#95	—	53	1	no	—
1692	#95	—	53	1	no	—
1693	#95	—	53	1	no	—
1694	#95	—	53	1	no	—
1695	#95	—	53	1	no	—
1696	#95	—	53	1	no	—
1697	#95	—	53	1	no	—
1698	#95	—	53	1	no	—
1699	#95	—	53	1	no	—
1700	#95	—	53	1	no	—
1701	#95	—	53	1	no	—
1702	#95	—	53	1	no	—
1703	#95	—	53	1	no	—
1704	#95	—	53	1	no	—
1705	#95	—	53	1	no	—
1706	#95	—	53	1	no	—
1707	#95	—	53	1	no	—
1708	#95	—	53	1	no	—
1709	#95	—	53	1	no	—
1710	#95	—	53	1	no	—
1711	#95	—	53	1	no	—
1712	#95	—	53	1	no	—
1713	#95	—	53	1	no	—
1714	#95	—	53	1	no	—
1715	#95	—	53	1	no	—
1716	C₂⁴	—	53	1	no	—
1717	C₂⁴	—	53	1	no	—
1718	C₂⁴	—	53	1	no	—
1719	C₂⁴	—	53	1	no	—
1720	C₂⁴	—	53	1	no	—
1721	C₂⁴	—	53	1	no	—
1722	C₂⁴	—	53	1	no	—
1723	C₂⁴	—	53	1	no	—
1724	C₂⁴	—	53	1	no	—
1725	C₂⁴	—	53	1	no	—
1726	C₂⁴	—	53	1	no	—
1727	C₂⁴	—	53	1	no	—
1728	C₂⁴	—	106	2	no	—
1729	C₂⁴	—	106	2	no	—
1730	C₂⁴	—	106	2	no	—
1731	C₂⁴	—	106	2	no	—
1732	C₂⁴	—	106	2	no	—
1733	C₂⁴	—	106	2	no	—
1734	C₂⁴	—	212	1	no	—
1735	C₂⁴	—	212	1	no	—
1736	C₂⁴	—	212	1	no	—
1737	C₂⁴	—	212	1	no	—
1738	C₂⁴	—	212	1	no	—
1739	C₂⁴	—	212	1	no	—
1740	C₂⁴	C₂²×#6157	1	1	yes	characteristic
1741	C₂⁴	C₂²×#6157	1	1	yes	characteristic
1742	#41	—	4	2	no	—
1743	#41	—	212	2	no	—
1744	#41	—	212	2	no	—
1745	#41	—	212	2	no	—
1746	#41	—	212	2	no	—
1747	#41	—	212	2	no	—
1748	#41	—	212	2	no	—
1749	#41	—	212	2	no	—
1750	C₂×Q₈	—	53	1	no	—
1751	C₂×Q₈	—	53	1	no	—
1752	C₂×Q₈	—	53	1	no	—
1753	C₂×Q₈	—	212	1	no	—
1754	C₂×Q₈	—	212	1	no	—
1755	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic, complemented
1756	C₂×D₄	—	4	2	no	—
1757	C₂×D₄	—	53	1	no	—
1758	C₂×D₄	—	53	1	no	—
1759	C₂×D₄	—	53	1	no	—
1760	C₂×D₄	—	53	1	no	—
1761	C₂×D₄	—	53	1	no	—
1762	C₂×D₄	—	53	1	no	—
1763	C₂×D₄	—	53	1	no	—
1764	C₂×D₄	—	53	1	no	—
1765	C₂×D₄	—	53	1	no	—
1766	C₂×D₄	—	53	1	no	—
1767	C₂×D₄	—	53	1	no	—
1768	C₂×D₄	—	53	1	no	—
1769	C₂×D₄	—	53	1	no	—
1770	C₂×D₄	—	53	1	no	—
1771	C₂×D₄	—	53	1	no	—
1772	C₂×D₄	—	53	1	no	—
1773	C₂×D₄	—	53	1	no	—
1774	C₂×D₄	—	53	1	no	—
1775	C₂×D₄	—	53	1	no	—
1776	C₂×D₄	—	53	1	no	—
1777	C₂×D₄	—	53	1	no	—
1778	C₂×D₄	—	53	1	no	—
1779	C₂×D₄	—	53	1	no	—
1780	C₂×D₄	—	53	1	no	—
1781	C₂×D₄	—	53	1	no	—
1782	C₂×D₄	—	53	1	no	—
1783	C₂×D₄	—	53	1	no	—
1784	C₂×D₄	—	106	2	no	—
1785	C₂×D₄	—	106	2	no	—
1786	C₂×D₄	—	106	2	no	—
1787	C₂×D₄	—	106	2	no	—
1788	C₂×D₄	—	106	2	no	—
1789	C₂×D₄	—	106	2	no	—
1790	C₂×D₄	—	106	2	no	—
1791	C₂×D₄	—	106	2	no	—
1792	C₂×D₄	—	212	2	no	—
1793	C₂×D₄	—	212	1	no	—
1794	C₂×D₄	—	212	1	no	—
1795	C₂×D₄	—	212	1	no	—
1796	C₂×D₄	—	212	1	no	—
1797	C₂×D₄	—	212	1	no	—
1798	C₂×D₄	—	212	1	no	—
1799	C₂×D₄	—	212	1	no	—
1800	C₂×D₄	—	212	1	no	—
1801	C₂×D₄	—	212	1	no	—
1802	C₂×D₄	—	212	1	no	—
1803	C₂×D₄	—	212	2	no	—
1804	C₂×D₄	—	212	2	no	—
1805	C₂×D₄	—	212	2	no	—
1806	C₂×D₄	—	212	2	no	—
1807	C₂×D₄	—	212	2	no	—
1808	C₂×D₄	—	212	2	no	—
1809	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1810	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1811	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1812	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1813	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1814	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1815	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1816	C₂×D₄	C₂²×#6157	1	1	yes	characteristic, complemented
1817	C₂×D₄	C₂²×#6157	1	1	yes	characteristic, complemented
1818	C₂²×C₄	—	53	1	no	—
1819	C₂²×C₄	—	53	1	no	—
1820	C₂²×C₄	—	53	1	no	—
1821	C₂²×C₄	—	53	1	no	—
1822	C₂²×C₄	—	53	1	no	—
1823	C₂²×C₄	—	53	1	no	—
1824	C₂²×C₄	—	53	4	no	—
1825	C₂²×C₄	—	53	1	no	—
1826	C₂²×C₄	—	53	1	no	—
1827	C₂²×C₄	—	53	1	no	—
1828	C₂²×C₄	—	53	1	no	—
1829	C₂²×C₄	—	53	1	no	—
1830	C₂²×C₄	—	53	1	no	—
1831	C₂²×C₄	—	53	1	no	—
1832	C₂²×C₄	—	53	1	no	—
1833	C₂²×C₄	—	53	1	no	—
1834	C₂²×C₄	—	53	1	no	—
1835	C₂²×C₄	—	53	1	no	—
1836	C₂²×C₄	—	53	1	no	—
1837	C₂²×C₄	—	53	1	no	—
1838	C₂²×C₄	—	53	1	no	—
1839	C₂²×C₄	—	53	1	no	—
1840	C₂²×C₄	—	53	1	no	—
1841	C₂²×C₄	—	53	1	no	—
1842	C₂²×C₄	—	53	1	no	—
1843	C₂²×C₄	—	53	1	no	—
1844	C₂²×C₄	—	53	1	no	—
1845	C₂²×C₄	—	53	1	no	—
1846	C₂²×C₄	—	53	1	no	—
1847	C₂²×C₄	—	53	1	no	—
1848	C₂²×C₄	—	53	1	no	—
1849	C₂²×C₄	—	53	1	no	—
1850	C₂²×C₄	—	53	1	no	—
1851	C₂²×C₄	—	53	1	no	—
1852	C₂²×C₄	—	53	1	no	—
1853	C₂²×C₄	—	53	1	no	—
1854	C₂²×C₄	—	53	1	no	—
1855	C₂²×C₄	—	53	1	no	—
1856	C₂²×C₄	—	53	1	no	—
1857	C₂²×C₄	—	53	1	no	—
1858	C₂²×C₄	—	53	1	no	—
1859	C₂²×C₄	—	53	1	no	—
1860	C₂²×C₄	—	53	1	no	—
1861	C₂²×C₄	—	53	1	no	—
1862	C₂²×C₄	—	106	2	no	—
1863	C₂²×C₄	—	106	2	no	—
1864	C₂²×C₄	—	106	2	no	—
1865	C₂²×C₄	—	106	2	no	—
1866	C₂²×C₄	—	106	2	no	—
1867	C₂²×C₄	—	106	2	no	—
1868	C₂²×C₄	—	106	2	no	—
1869	C₂²×C₄	—	106	2	no	—
1870	C₂²×C₄	—	106	2	no	—
1871	C₂²×C₄	—	106	2	no	—
1872	C₂²×C₄	—	106	2	no	—
1873	C₂²×C₄	—	106	2	no	—
1874	C₂²×C₄	—	106	2	no	—
1875	C₂²×C₄	—	106	2	no	—
1876	C₂²×C₄	—	106	2	no	—
1877	C₂²×C₄	—	106	2	no	—
1878	C₂²×C₄	—	106	2	no	—
1879	C₂²×C₄	—	106	2	no	—
1880	C₂²×C₄	—	106	2	no	—
1881	C₂²×C₄	—	106	2	no	—
1882	C₂²×C₄	—	106	2	no	—
1883	C₂²×C₄	—	106	2	no	—
1884	C₂²×C₄	—	212	1	no	—
1885	C₂²×C₄	—	212	1	no	—
1886	C₂²×C₄	—	212	1	no	—
1887	C₂²×C₄	—	212	1	no	—
1888	C₂²×C₄	—	212	1	no	—
1889	C₂²×C₄	—	212	1	no	—
1890	C₂²×C₄	—	212	1	no	—
1891	C₂²×C₄	—	212	1	no	—
1892	C₂²×C₄	—	212	1	no	—
1893	C₂²×C₄	—	212	1	no	—
1894	C₂²×C₄	—	212	1	no	—
1895	C₂²×C₄	—	212	1	no	—
1896	C₂²×C₄	—	212	1	no	—
1897	C₂²×C₄	—	212	1	no	—
1898	C₂²×C₄	—	212	1	no	—
1899	C₂²×C₄	—	212	1	no	—
1900	C₂²×C₄	—	212	1	no	—
1901	C₂²×C₄	—	212	1	no	—
1902	C₂²×C₄	—	212	1	no	—
1903	C₂²×C₄	—	212	1	no	—
1904	C₂²×C₄	—	212	1	no	—
1905	C₂²×C₄	—	212	1	no	—
1906	C₂²×C₄	—	212	1	no	—
1907	C₂²×C₄	—	212	1	no	—
1908	C₂²×C₄	—	212	1	no	—
1909	C₂²×C₄	—	212	1	no	—
1910	C₂²×C₄	—	212	1	no	—
1911	C₂²×C₄	—	212	1	no	—
1912	C₂²×C₄	—	212	1	no	—
1913	C₂²×C₄	—	212	1	no	—
1914	C₂²×C₄	—	212	1	no	—
1915	C₂²×C₄	—	212	16	no	—
1916	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1917	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1918	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1919	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1920	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1921	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1922	C₄⋊C₄	—	53	1	no	—
1923	C₄⋊C₄	—	53	1	no	—
1924	C₄⋊C₄	—	53	1	no	—
1925	C₄⋊C₄	—	53	1	no	—
1926	C₄⋊C₄	—	53	1	no	—
1927	C₄⋊C₄	—	53	1	no	—
1928	C₄⋊C₄	—	53	1	no	—
1929	C₄⋊C₄	—	53	1	no	—
1930	C₄⋊C₄	—	53	1	no	—
1931	C₄⋊C₄	—	53	1	no	—
1932	C₄⋊C₄	—	53	1	no	—
1933	C₄⋊C₄	—	53	1	no	—
1934	C₄⋊C₄	—	106	2	no	—
1935	C₄⋊C₄	—	106	2	no	—
1936	C₄⋊C₄	—	106	2	no	—
1937	C₄⋊C₄	—	212	1	no	—
1938	C₄⋊C₄	—	212	1	no	—
1939	C₄⋊C₄	—	212	1	no	—
1940	C₄⋊C₄	—	212	1	no	—
1941	C₄⋊C₄	—	212	1	no	—
1942	C₄⋊C₄	—	212	1	no	—
1943	C₄⋊C₄	—	212	1	no	—
1944	C₄⋊C₄	—	212	1	no	—
1945	C₄⋊C₄	—	212	1	no	—
1946	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1947	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1948	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1949	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
1950	C₂²⋊C₄	—	53	4	no	—
1951	C₂²⋊C₄	—	53	1	no	—
1952	C₂²⋊C₄	—	53	1	no	—
1953	C₂²⋊C₄	—	53	1	no	—
1954	C₂²⋊C₄	—	53	1	no	—
1955	C₂²⋊C₄	—	53	1	no	—
1956	C₂²⋊C₄	—	53	1	no	—
1957	C₂²⋊C₄	—	53	1	no	—
1958	C₂²⋊C₄	—	53	1	no	—
1959	C₂²⋊C₄	—	53	1	no	—
1960	C₂²⋊C₄	—	53	1	no	—
1961	C₂²⋊C₄	—	53	1	no	—
1962	C₂²⋊C₄	—	53	1	no	—
1963	C₂²⋊C₄	—	53	1	no	—
1964	C₂²⋊C₄	—	53	1	no	—
1965	C₂²⋊C₄	—	53	1	no	—
1966	C₂²⋊C₄	—	53	1	no	—
1967	C₂²⋊C₄	—	53	1	no	—
1968	C₂²⋊C₄	—	53	1	no	—
1969	C₂²⋊C₄	—	53	1	no	—
1970	C₂²⋊C₄	—	53	1	no	—
1971	C₂²⋊C₄	—	53	1	no	—
1972	C₂²⋊C₄	—	53	1	no	—
1973	C₂²⋊C₄	—	53	1	no	—
1974	C₂²⋊C₄	—	53	1	no	—
1975	C₂²⋊C₄	—	53	1	no	—
1976	C₂²⋊C₄	—	53	1	no	—
1977	C₂²⋊C₄	—	53	1	no	—
1978	C₂²⋊C₄	—	53	1	no	—
1979	C₂²⋊C₄	—	53	1	no	—
1980	C₂²⋊C₄	—	53	1	no	—
1981	C₂²⋊C₄	—	53	1	no	—
1982	C₂²⋊C₄	—	53	1	no	—
1983	C₂²⋊C₄	—	53	1	no	—
1984	C₂²⋊C₄	—	53	1	no	—
1985	C₂²⋊C₄	—	53	1	no	—
1986	C₂²⋊C₄	—	53	1	no	—
1987	C₂²⋊C₄	—	106	2	no	—
1988	C₂²⋊C₄	—	106	2	no	—
1989	C₂²⋊C₄	—	106	2	no	—
1990	C₂²⋊C₄	—	106	2	no	—
1991	C₂²⋊C₄	—	106	2	no	—
1992	C₂²⋊C₄	—	106	2	no	—
1993	C₂²⋊C₄	—	106	2	no	—
1994	C₂²⋊C₄	—	106	2	no	—
1995	C₂²⋊C₄	—	106	2	no	—
1996	C₂²⋊C₄	—	106	2	no	—
1997	C₂²⋊C₄	—	106	2	no	—
1998	C₂²⋊C₄	—	106	2	no	—
1999	C₂²⋊C₄	—	106	2	no	—
2000	C₂²⋊C₄	—	106	2	no	—
2001	C₂²⋊C₄	—	106	2	no	—
2002	C₂²⋊C₄	—	106	2	no	—
2003	C₂²⋊C₄	—	106	2	no	—
2004	C₂²⋊C₄	—	106	2	no	—
2005	C₂²⋊C₄	—	106	2	no	—
2006	C₂²⋊C₄	—	106	2	no	—
2007	C₂²⋊C₄	—	212	1	no	—
2008	C₂²⋊C₄	—	212	1	no	—
2009	C₂²⋊C₄	—	212	1	no	—
2010	C₂²⋊C₄	—	212	1	no	—
2011	C₂²⋊C₄	—	212	1	no	—
2012	C₂²⋊C₄	—	212	1	no	—
2013	C₂²⋊C₄	—	212	1	no	—
2014	C₂²⋊C₄	—	212	1	no	—
2015	C₂²⋊C₄	—	212	1	no	—
2016	C₂²⋊C₄	—	212	1	no	—
2017	C₂²⋊C₄	—	212	1	no	—
2018	C₂²⋊C₄	—	212	1	no	—
2019	C₂²⋊C₄	—	212	1	no	—
2020	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
2021	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
2022	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
2023	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
2024	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
2025	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
2026	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
2027	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
2028	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
2029	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
2030	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
2031	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic, complemented
2032	C₄²	—	53	1	no	—
2033	C₄²	—	53	1	no	—
2034	C₄²	—	53	1	no	—
2035	C₄²	—	106	2	no	—
2036	C₄²	—	106	2	no	—
2037	C₄²	—	106	2	no	—
2038	C₄²	—	106	2	no	—
2039	C₄²	—	212	1	no	—
2040	C₄²	—	212	1	no	—
2041	C₄²	—	212	1	no	—
2042	C₄²	—	212	1	no	—
2043	C₄²	—	212	1	no	—
2044	C₄²	—	212	1	no	—
2045	C₄²	—	212	1	no	—
2046	C₄²	—	212	1	no	—
2047	C₄²	—	212	1	no	—
2048	C₄²	—	212	1	no	—
2049	C₄²	—	212	1	no	—
2050	C₄²	—	212	1	no	—
2051	C₄²	—	212	1	no	—
2052	C₄²	—	212	1	no	—
2053	C₄²	—	212	1	no	—
2054	C₄²	—	212	1	no	—
2055	C₄²	C₂²×#6157	1	1	yes	characteristic, complemented
2056	C₂³	—	2	2	no	—
2057	C₂³	—	2	2	no	—
2058	C₂³	—	2	2	no	—
2059	C₂³	—	4	1	no	—
2060	C₂³	—	4	1	no	—
2061	C₂³	—	4	1	no	—
2062	C₂³	—	53	1	no	—
2063	C₂³	—	53	2	no	—
2064	C₂³	—	53	2	no	—
2065	C₂³	—	53	2	no	—
2066	C₂³	—	53	2	no	—
2067	C₂³	—	53	1	no	—
2068	C₂³	—	53	1	no	—
2069	C₂³	—	53	1	no	—
2070	C₂³	—	53	1	no	—
2071	C₂³	—	53	1	no	—
2072	C₂³	—	53	1	no	—
2073	C₂³	—	106	1	no	—
2074	C₂³	—	106	1	no	—
2075	C₂³	—	106	1	no	—
2076	C₂³	—	106	1	no	—
2077	C₂³	—	106	1	no	—
2078	C₂³	—	106	1	no	—
2079	C₂³	—	106	1	no	—
2080	C₂³	—	106	1	no	—
2081	C₂³	—	106	2	no	—
2082	C₂³	—	106	2	no	—
2083	C₂³	—	106	1	no	—
2084	C₂³	—	106	1	no	—
2085	C₂³	—	106	1	no	—
2086	C₂³	—	106	1	no	—
2087	C₂³	—	106	1	no	—
2088	C₂³	—	106	1	no	—
2089	C₂³	—	106	1	no	—
2090	C₂³	—	106	1	no	—
2091	C₂³	—	106	1	no	—
2092	C₂³	—	106	1	no	—
2093	C₂³	—	106	1	no	—
2094	C₂³	—	106	1	no	—
2095	C₂³	—	106	1	no	—
2096	C₂³	—	106	1	no	—
2097	C₂³	—	106	1	no	—
2098	C₂³	—	106	1	no	—
2099	C₂³	—	106	1	no	—
2100	C₂³	—	106	1	no	—
2101	C₂³	—	106	1	no	—
2102	C₂³	—	106	1	no	—
2103	C₂³	—	106	1	no	—
2104	C₂³	—	106	1	no	—
2105	C₂³	—	106	1	no	—
2106	C₂³	—	106	1	no	—
2107	C₂³	—	106	2	no	—
2108	C₂³	—	106	2	no	—
2109	C₂³	—	106	2	no	—
2110	C₂³	—	106	2	no	—
2111	C₂³	—	106	2	no	—
2112	C₂³	—	106	2	no	—
2113	C₂³	—	106	2	no	—
2114	C₂³	—	424	2	no	—
2115	C₂³	—	424	2	no	—
2116	C₂³	—	424	2	no	—
2117	C₂³	—	424	2	no	—
2118	C₂³	—	212	1	no	—
2119	C₂³	—	212	1	no	—
2120	C₂³	—	212	1	no	—
2121	C₂³	—	212	1	no	—
2122	C₂³	—	212	1	no	—
2123	C₂³	—	212	1	no	—
2124	C₂³	—	212	1	no	—
2125	C₂³	—	212	1	no	—
2126	C₂³	—	212	1	no	—
2127	C₂³	—	212	4	no	—
2128	C₂³	—	212	4	no	—
2129	C₂³	—	212	4	no	—
2130	C₂³	—	212	4	no	—
2131	C₂³	C₂³×#6157	1	1	yes	characteristic
2132	C₂³	C₂³×#6157	1	1	yes	characteristic
2133	C₂³	C₂³×#6157	1	1	yes	characteristic
2134	C₂³	C₂³×#6157	1	1	yes	characteristic
2135	C₂³	C₂³×#6157	1	1	yes	characteristic
2136	C₂³	C₂³×#6157	1	1	yes	characteristic
2137	Q₈	—	4	1	no	—
2138	Q₈	—	212	1	no	—
2139	Q₈	—	212	1	no	—
2140	Q₈	—	212	1	no	—
2141	D₄	—	2	2	no	—
2142	D₄	—	2	2	no	—
2143	D₄	—	2	2	no	—
2144	D₄	—	2	2	no	—
2145	D₄	—	4	1	no	—
2146	D₄	—	4	1	no	—
2147	D₄	—	4	1	no	—
2148	D₄	—	4	1	no	—
2149	D₄	—	4	1	no	—
2150	D₄	—	106	2	no	—
2151	D₄	—	106	2	no	—
2152	D₄	—	106	2	no	—
2153	D₄	—	106	2	no	—
2154	D₄	—	106	2	no	—
2155	D₄	—	106	2	no	—
2156	D₄	—	106	2	no	—
2157	D₄	—	106	2	no	—
2158	D₄	—	106	2	no	—
2159	D₄	—	106	2	no	—
2160	D₄	—	106	2	no	—
2161	D₄	—	106	2	no	—
2162	D₄	—	212	1	no	—
2163	D₄	—	212	1	no	—
2164	D₄	—	212	1	no	—
2165	D₄	—	212	1	no	—
2166	D₄	—	212	1	no	—
2167	D₄	—	212	1	no	—
2168	D₄	—	212	1	no	—
2169	D₄	—	212	1	no	—
2170	D₄	—	212	1	no	—
2171	D₄	—	212	1	no	—
2172	D₄	—	212	1	no	—
2173	D₄	—	212	1	no	—
2174	D₄	—	212	1	no	—
2175	D₄	—	212	1	no	—
2176	D₄	—	212	1	no	—
2177	C₂×C₄	—	2	2	no	—
2178	C₂×C₄	—	4	1	no	—
2179	C₂×C₄	—	4	1	no	—
2180	C₂×C₄	—	4	1	no	—
2181	C₂×C₄	—	4	1	no	—
2182	C₂×C₄	—	4	1	no	—
2183	C₂×C₄	—	53	2	no	—
2184	C₂×C₄	—	53	2	no	—
2185	C₂×C₄	—	53	2	no	—
2186	C₂×C₄	—	53	2	no	—
2187	C₂×C₄	—	53	2	no	—
2188	C₂×C₄	—	53	1	no	—
2189	C₂×C₄	—	53	1	no	—
2190	C₂×C₄	—	53	1	no	—
2191	C₂×C₄	—	53	1	no	—
2192	C₂×C₄	—	53	1	no	—
2193	C₂×C₄	—	53	1	no	—
2194	C₂×C₄	—	53	1	no	—
2195	C₂×C₄	—	53	1	no	—
2196	C₂×C₄	—	53	1	no	—
2197	C₂×C₄	—	106	1	no	—
2198	C₂×C₄	—	106	1	no	—
2199	C₂×C₄	—	106	1	no	—
2200	C₂×C₄	—	106	1	no	—
2201	C₂×C₄	—	106	1	no	—
2202	C₂×C₄	—	106	1	no	—
2203	C₂×C₄	—	106	1	no	—
2204	C₂×C₄	—	106	1	no	—
2205	C₂×C₄	—	106	1	no	—
2206	C₂×C₄	—	106	1	no	—
2207	C₂×C₄	—	106	1	no	—
2208	C₂×C₄	—	106	1	no	—
2209	C₂×C₄	—	106	1	no	—
2210	C₂×C₄	—	106	1	no	—
2211	C₂×C₄	—	106	1	no	—
2212	C₂×C₄	—	106	1	no	—
2213	C₂×C₄	—	106	2	no	—
2214	C₂×C₄	—	106	2	no	—
2215	C₂×C₄	—	106	1	no	—
2216	C₂×C₄	—	106	1	no	—
2217	C₂×C₄	—	106	1	no	—
2218	C₂×C₄	—	106	1	no	—
2219	C₂×C₄	—	106	1	no	—
2220	C₂×C₄	—	106	1	no	—
2221	C₂×C₄	—	106	1	no	—
2222	C₂×C₄	—	106	1	no	—
2223	C₂×C₄	—	106	1	no	—
2224	C₂×C₄	—	106	1	no	—
2225	C₂×C₄	—	106	1	no	—
2226	C₂×C₄	—	106	1	no	—
2227	C₂×C₄	—	106	8	no	—
2228	C₂×C₄	—	106	2	no	—
2229	C₂×C₄	—	106	1	no	—
2230	C₂×C₄	—	106	1	no	—
2231	C₂×C₄	—	106	1	no	—
2232	C₂×C₄	—	106	1	no	—
2233	C₂×C₄	—	106	1	no	—
2234	C₂×C₄	—	106	1	no	—
2235	C₂×C₄	—	106	1	no	—
2236	C₂×C₄	—	106	1	no	—
2237	C₂×C₄	—	106	1	no	—
2238	C₂×C₄	—	106	1	no	—
2239	C₂×C₄	—	106	1	no	—
2240	C₂×C₄	—	106	1	no	—
2241	C₂×C₄	—	106	1	no	—
2242	C₂×C₄	—	106	1	no	—
2243	C₂×C₄	—	106	1	no	—
2244	C₂×C₄	—	106	1	no	—
2245	C₂×C₄	—	106	1	no	—
2246	C₂×C₄	—	106	1	no	—
2247	C₂×C₄	—	106	1	no	—
2248	C₂×C₄	—	106	1	no	—
2249	C₂×C₄	—	106	1	no	—
2250	C₂×C₄	—	106	1	no	—
2251	C₂×C₄	—	106	1	no	—
2252	C₂×C₄	—	106	1	no	—
2253	C₂×C₄	—	106	1	no	—
2254	C₂×C₄	—	106	1	no	—
2255	C₂×C₄	—	106	1	no	—
2256	C₂×C₄	—	106	1	no	—
2257	C₂×C₄	—	106	1	no	—
2258	C₂×C₄	—	106	1	no	—
2259	C₂×C₄	—	106	1	no	—
2260	C₂×C₄	—	106	1	no	—
2261	C₂×C₄	—	106	1	no	—
2262	C₂×C₄	—	424	2	no	—
2263	C₂×C₄	—	424	2	no	—
2264	C₂×C₄	—	424	2	no	—
2265	C₂×C₄	—	424	2	no	—
2266	C₂×C₄	—	424	2	no	—
2267	C₂×C₄	—	424	2	no	—
2268	C₂×C₄	—	212	1	no	—
2269	C₂×C₄	—	212	1	no	—
2270	C₂×C₄	—	212	1	no	—
2271	C₂×C₄	—	212	1	no	—
2272	C₂×C₄	—	212	1	no	—
2273	C₂×C₄	—	212	1	no	—
2274	C₂×C₄	—	212	1	no	—
2275	C₂×C₄	—	212	1	no	—
2276	C₂×C₄	—	212	1	no	—
2277	C₂×C₄	—	212	1	no	—
2278	C₂×C₄	—	212	1	no	—
2279	C₂×C₄	—	212	1	no	—
2280	C₂×C₄	—	212	1	no	—
2281	C₂×C₄	—	212	1	no	—
2282	C₂×C₄	—	212	1	no	—
2283	C₂×C₄	—	212	4	no	—
2284	C₂×C₄	—	212	4	no	—
2285	C₂×C₄	—	212	4	no	—
2286	C₂×C₄	—	212	4	no	—
2287	C₂×C₄	—	212	4	no	—
2288	C₂×C₄	—	212	4	no	—
2289	C₂×C₄	—	212	4	no	—
2290	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2291	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2292	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2293	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2294	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2295	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2296	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2297	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2298	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2299	C₂²	—	2	1	no	—
2300	C₂²	—	2	1	no	—
2301	C₂²	—	2	1	no	—
2302	C₂²	—	2	1	no	—
2303	C₂²	—	2	1	no	—
2304	C₂²	—	2	1	no	—
2305	C₂²	—	2	1	no	—
2306	C₂²	—	2	1	no	—
2307	C₂²	—	2	1	no	—
2308	C₂²	—	2	1	no	—
2309	C₂²	—	2	1	no	—
2310	C₂²	—	2	1	no	—
2311	C₂²	—	2	1	no	—
2312	C₂²	—	2	1	no	—
2313	C₂²	—	2	1	no	—
2314	C₂²	—	2	1	no	—
2315	C₂²	—	4	4	no	—
2316	C₂²	—	8	2	no	—
2317	C₂²	—	53	1	no	—
2318	C₂²	—	53	1	no	—
2319	C₂²	—	53	1	no	—
2320	C₂²	—	53	1	no	—
2321	C₂²	—	53	1	no	—
2322	C₂²	—	53	1	no	—
2323	C₂²	—	53	2	no	—
2324	C₂²	—	53	2	no	—
2325	C₂²	—	106	2	no	—
2326	C₂²	—	106	2	no	—
2327	C₂²	—	106	2	no	—
2328	C₂²	—	106	2	no	—
2329	C₂²	—	106	2	no	—
2330	C₂²	—	106	2	no	—
2331	C₂²	—	106	2	no	—
2332	C₂²	—	106	2	no	—
2333	C₂²	—	106	1	no	—
2334	C₂²	—	106	1	no	—
2335	C₂²	—	106	1	no	—
2336	C₂²	—	106	1	no	—
2337	C₂²	—	106	1	no	—
2338	C₂²	—	106	1	no	—
2339	C₂²	—	106	1	no	—
2340	C₂²	—	106	1	no	—
2341	C₂²	—	106	1	no	—
2342	C₂²	—	106	1	no	—
2343	C₂²	—	106	1	no	—
2344	C₂²	—	106	1	no	—
2345	C₂²	—	106	1	no	—
2346	C₂²	—	106	1	no	—
2347	C₂²	—	106	1	no	—
2348	C₂²	—	106	1	no	—
2349	C₂²	—	424	2	no	—
2350	C₂²	—	424	2	no	—
2351	C₂²	—	424	2	no	—
2352	C₂²	—	212	4	no	—
2353	C₂²	—	212	4	no	—
2354	C₂²	—	212	1	no	—
2355	C₂²	—	212	1	no	—
2356	C₂²	—	212	1	no	—
2357	C₂²	—	212	1	no	—
2358	C₂²	—	212	1	no	—
2359	C₂²	—	212	1	no	—
2360	C₂²	—	212	1	no	—
2361	C₂²	—	212	1	no	—
2362	C₂²	—	212	1	no	—
2363	C₂²	—	212	1	no	—
2364	C₂²	—	212	1	no	—
2365	C₂²	—	212	1	no	—
2366	C₂²	—	212	1	no	—
2367	C₂²	—	212	1	no	—
2368	C₂²	—	212	1	no	—
2369	C₂²	—	212	1	no	—
2370	C₂²	—	212	4	no	—
2371	C₂²	#41×#6157	1	2	yes	—
2372	C₂²	#16811690	1	2	yes	—
2373	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2374	C₄	—	2	1	no	—
2375	C₄	—	2	1	no	—
2376	C₄	—	2	1	no	—
2377	C₄	—	2	1	no	—
2378	C₄	—	2	1	no	—
2379	C₄	—	2	1	no	—
2380	C₄	—	2	1	no	—
2381	C₄	—	2	1	no	—
2382	C₄	—	2	1	no	—
2383	C₄	—	106	2	no	—
2384	C₄	—	106	2	no	—
2385	C₄	—	106	2	no	—
2386	C₄	—	106	2	no	—
2387	C₄	—	106	2	no	—
2388	C₄	—	106	1	no	—
2389	C₄	—	106	1	no	—
2390	C₄	—	106	1	no	—
2391	C₄	—	106	1	no	—
2392	C₄	—	106	1	no	—
2393	C₄	—	106	1	no	—
2394	C₄	—	106	1	no	—
2395	C₄	—	106	1	no	—
2396	C₄	—	106	1	no	—
2397	C₄	—	212	1	no	—
2398	C₄	—	212	1	no	—
2399	C₄	—	212	1	no	—
2400	C₄	—	212	1	no	—
2401	C₄	—	212	1	no	—
2402	C₄	—	212	1	no	—
2403	C₄	—	212	1	no	—
2404	C₄	—	212	1	no	—
2405	C₄	—	212	1	no	—
2406	C₄	—	212	1	no	—
2407	C₄	—	212	1	no	—
2408	C₂	—	2	2	no	—
2409	C₂	—	2	2	no	—
2410	C₂	—	4	1	no	—
2411	C₂	—	4	1	no	—
2412	C₂	—	4	1	no	—
2413	C₂	—	4	1	no	—
2414	C₂	—	53	1	no	—
2415	C₂	—	53	1	no	—
2416	C₂	—	53	1	no	—
2417	C₂	—	53	1	no	—
2418	C₂	—	106	2	no	—
2419	C₂	—	106	2	no	—
2420	C₂	—	212	1	no	—
2421	C₂	—	212	1	no	—
2422	C₂	—	212	1	no	—
2423	C₂	—	212	1	no	—
2424	C₂	C₂×#41×#6157	1	1	yes	characteristic
2425	C₂	C₂×#16811690	1	1	yes	characteristic
2426	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#546	C₄
prime radical	#546×D₅₃	C₂
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#546	#6157
hypocenter	C₅₃	#34302
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20291253	C₂	semidirect
2. #20291251	C₂	semidirect
3. #20291247	C₂	semidirect
4. #20291243	C₂	semidirect
5. #20291243	C₂	semidirect
6. #20291242	C₂	semidirect
7. #20291238	C₂	semidirect
8. #20291237	C₂	semidirect
9. #20291237	C₂	semidirect
10. #20291232	C₂	semidirect
11. #20291232	C₂	semidirect
12. #20291221	C₂	semidirect
13. #20291221	C₂	semidirect
14. #20291218	C₂	semidirect
15. D₄×C₂²⋊#6157	C₂	semidirect
16. #20291216	C₂	semidirect
17. #20291214	C₂	semidirect
18. #20291212	C₂	semidirect
19. #20291212	C₂	semidirect
20. #20291208	C₂	semidirect
21. #20291200	C₂	semidirect
22. #123×#6157	C₂	semidirect
23. #121×#6157	C₂	semidirect
24. #120×#6157	C₂	semidirect
25. #20291176	C₂	semidirect
26. #20291169	C₂	semidirect
27. C₂×#16811571	C₂	semidirect
28. #20291154	C₂	semidirect
29. #20291151	C₂	semidirect
30. C₂×C₂²⋊C₄×#6157	C₂	semidirect
37. C₂×D₄×#6157	C₂²	semidirect
38. C₂×D₄×#6157	C₂²	semidirect
39. C₂×D₄×#6157	C₂²	semidirect
40. C₂×D₄×#6157	C₂²	semidirect
41. C₂×#13133296	C₂²	semidirect
42. C₂×#13133296	C₂²	semidirect
48. C₂²×C₄×#6157	C₂²	semidirect
49. C₂²×C₄×#6157	C₂²	semidirect
50. (C₂×#6157)⋊Q₈	C₂²	semidirect
51. (C₂×#6157)⋊Q₈	C₂²	semidirect
52. (C₂×#6157)⋊Q₈	C₂²	semidirect
53. (C₂×#6157)⋊Q₈	C₂²	semidirect
56. #16811575	C₂²	semidirect
57. #16811575	C₂²	semidirect
58. #16811575	C₂²	semidirect
59. #16811575	C₂²	semidirect
60. #16811574	C₂²	semidirect
61. #16811574	C₂²	semidirect
62. #16811573	C₂²	semidirect
63. #16811573	C₂²	semidirect
64. #16811573	C₂²	semidirect
65. #16811573	C₂²	semidirect
66. #16811573	C₂²	semidirect
67. #16811573	C₂²	semidirect
68. #16811573	C₂²	semidirect
69. #16811573	C₂²	semidirect
70. #16811573	C₂²	semidirect
71. #16811573	C₂²	semidirect
72. #16811573	C₂²	semidirect
73. #16811573	C₂²	semidirect
74. #16811573	C₂²	semidirect
75. #16811573	C₂²	semidirect
76. #16811573	C₂²	semidirect
77. #16811573	C₂²	semidirect
78. #16811573	C₂²	semidirect
79. #16811573	C₂²	semidirect
80. #16811572	C₂²	semidirect
81. #16811572	C₂²	semidirect
82. #16811572	C₂²	semidirect
83. #16811572	C₂²	semidirect
84. #16811572	C₂²	semidirect
85. #16811572	C₂²	semidirect
86. #16811572	C₂²	semidirect
87. #16811572	C₂²	semidirect
88. #16811572	C₂²	semidirect
89. #16811572	C₂²	semidirect
104. #16811571	C₂²	semidirect
105. #16811571	C₂²	semidirect
106. #16811571	C₂²	semidirect
107. #16811571	C₂²	semidirect
108. #16811571	C₂²	semidirect
109. #16811571	C₂²	semidirect
110. #16811571	C₂²	semidirect
111. #16811571	C₂²	semidirect
116. #16811570	C₂²	semidirect
117. #16811570	C₂²	semidirect
118. #16811570	C₂²	semidirect
119. #16811570	C₂²	semidirect
120. #16811568	C₂²	semidirect
121. #16811566	C₂²	semidirect
122. #16811566	C₂²	semidirect
123. #16811566	C₂²	semidirect
125. #16811565	C₂²	semidirect
126. #16811565	C₂²	semidirect
129. C₄⋊C₄×#6157	C₂²	semidirect
130. C₄⋊C₄×#6157	C₂²	semidirect
131. C₄⋊C₄×#6157	C₂²	semidirect
132. C₄⋊C₄×#6157	C₂²	semidirect
133. C₄×C₄⋊#6157	C₂²	semidirect
142. C₂²⋊C₄×#6157	C₂²	semidirect
143. C₂²⋊C₄×#6157	C₂²	semidirect
144. C₂²⋊C₄×#6157	C₂²	semidirect
145. C₂²⋊C₄×#6157	C₂²	semidirect
146. C₂²⋊C₄×#6157	C₂²	semidirect
147. C₂²⋊C₄×#6157	C₂²	semidirect
148. C₂²⋊C₄×#6157	C₂²	semidirect
149. C₂²⋊C₄×#6157	C₂²	semidirect
150. C₂²⋊C₄×#6157	C₂²	semidirect
151. C₂²⋊C₄×#6157	C₂²	semidirect
152. C₂²⋊C₄×#6157	C₂²	semidirect
153. C₂²⋊C₄×#6157	C₂²	semidirect
154. C₂²⋊C₄×#6157	C₂²	semidirect
155. C₂²⋊C₄×#6157	C₂²	semidirect
157. C₄×C₂²⋊#6157	C₂²	semidirect
158. C₄×C₂²⋊#6157	C₂²	semidirect
159. C₄×C₂²⋊#6157	C₂²	semidirect
160. C₄×C₂²⋊#6157	C₂²	semidirect
161. C₄×C₂²⋊#6157	C₂²	semidirect
162. C₄×C₂²⋊#6157	C₂²	semidirect
163. C₄×C₂²⋊#6157	C₂²	semidirect
164. C₄×C₂²⋊#6157	C₂²	semidirect
165. #16811559	C₂²	semidirect
166. #16811559	C₂²	semidirect
169. C₂×(C₂×#6157)⋊C₄	C₂²	semidirect
170. C₂×(C₂×#6157)⋊C₄	C₂²	semidirect
171. C₂×(C₂×#6157)⋊C₄	C₂²	semidirect
174. #16811270	C₄	semidirect
175. #16811269	C₄	semidirect
176. #16811268	C₄	semidirect
177. #16811267	C₄	semidirect
178. #16811266	C₄	semidirect
179. #16811265	C₄	semidirect
180. #16811265	C₄	semidirect
181. #16811264	C₄	semidirect
182. #16811263	C₄	semidirect
183. #16811263	C₄	semidirect
184. #16811262	C₄	semidirect
185. #16811262	C₄	semidirect
186. #16811261	C₄	semidirect
187. #16811260	C₄	semidirect
188. #16811260	C₄	semidirect
202. C₅₃×#546	C₄	semidirect
345. C₂×#11719949	C₂×C₄	semidirect
346. C₂×#11719945	C₂×C₄	semidirect
347. C₂×#11719945	C₂×C₄	semidirect
348. C₂×#11719945	C₂×C₄	semidirect
349. C₂×#11719947	C₂×C₄	semidirect
350. C₂×#11719947	C₂×C₄	semidirect
351. C₂×#11719947	C₂×C₄	semidirect
355. C₂²×D₂₁₂	C₂×C₄	semidirect
356. C₂²×C₂²⋊D₅₃	C₂×C₄	semidirect
357. C₂²×C₂²⋊D₅₃	C₂×C₄	semidirect
360. C₂×D₄×D₅₃	C₂×C₄	semidirect
361. C₂×D₄×D₅₃	C₂×C₄	semidirect
362. C₂×D₄×D₅₃	C₂×C₄	semidirect
363. C₂×D₄×D₅₃	C₂×C₄	semidirect
379. #13133206	C₂×C₄	semidirect
380. #13133205	C₂×C₄	semidirect
381. #13133204	C₂×C₄	semidirect
382. #13133203	C₂×C₄	semidirect
383. #13133203	C₂×C₄	semidirect
384. #13133203	C₂×C₄	semidirect
385. #13133203	C₂×C₄	semidirect
386. #13133202	C₂×C₄	semidirect
387. #13133202	C₂×C₄	semidirect
388. #13133202	C₂×C₄	semidirect
389. #13133202	C₂×C₄	semidirect
390. #13133201	C₂×C₄	semidirect
391. #13133201	C₂×C₄	semidirect
392. #13133200	C₂×C₄	semidirect
393. #13133200	C₂×C₄	semidirect
394. #13133199	C₂×C₄	semidirect
395. #13133199	C₂×C₄	semidirect
396. #13133199	C₂×C₄	semidirect
397. #13133199	C₂×C₄	semidirect
398. #13133198	C₂×C₄	semidirect
399. #13133198	C₂×C₄	semidirect
400. #13133197	C₂×C₄	semidirect
401. #13133196	C₂×C₄	semidirect
402. #13133195	C₂×C₄	semidirect
403. #13133195	C₂×C₄	semidirect
404. #13133194	C₂×C₄	semidirect
405. #13133194	C₂×C₄	semidirect
406. #13133193	C₂×C₄	semidirect
407. #13133192	C₂×C₄	semidirect
408. #13133192	C₂×C₄	semidirect
409. #13133192	C₂×C₄	semidirect
410. #13133191	C₂×C₄	semidirect
411. #13133191	C₂×C₄	semidirect
412. #13133191	C₂×C₄	semidirect
413. #13133190	C₂×C₄	semidirect
414. #13133190	C₂×C₄	semidirect
415. #13133190	C₂×C₄	semidirect
416. #13133190	C₂×C₄	semidirect
417. #13133190	C₂×C₄	semidirect
418. #13133190	C₂×C₄	semidirect
419. #13133189	C₂×C₄	semidirect
420. #13133189	C₂×C₄	semidirect
421. #13133189	C₂×C₄	semidirect
422. #13133189	C₂×C₄	semidirect
423. #13133189	C₂×C₄	semidirect
424. #13133189	C₂×C₄	semidirect
425. #13133188	C₂×C₄	semidirect
426. #13133188	C₂×C₄	semidirect
427. #13133188	C₂×C₄	semidirect
428. #13133187	C₂×C₄	semidirect
429. #13133187	C₂×C₄	semidirect
430. #13133187	C₂×C₄	semidirect
431. #13133187	C₂×C₄	semidirect
432. #13133187	C₂×C₄	semidirect
433. #13133187	C₂×C₄	semidirect
434. #13133186	C₂×C₄	semidirect
435. #13133186	C₂×C₄	semidirect
436. #13133185	C₂×C₄	semidirect
437. #13133185	C₂×C₄	semidirect
438. #13133185	C₂×C₄	semidirect
439. #13133185	C₂×C₄	semidirect
440. #13133185	C₂×C₄	semidirect
441. #13133185	C₂×C₄	semidirect
442. C₄×D₂₁₂	C₂×C₄	semidirect
443. C₄×D₂₁₂	C₂×C₄	semidirect
444. D₄×Dic₅₃	C₂×C₄	semidirect
445. D₄×Dic₅₃	C₂×C₄	semidirect
446. #13133179	C₂×C₄	semidirect
447. #13133179	C₂×C₄	semidirect
448. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
449. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
450. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
451. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
452. #13133177	C₂×C₄	semidirect
453. #13133177	C₂×C₄	semidirect
454. #13133177	C₂×C₄	semidirect
455. #13133177	C₂×C₄	semidirect
460. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
461. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
462. C₂×#11719921	C₂×C₄	semidirect
463. C₂×#11719921	C₂×C₄	semidirect
464. C₂×#11719921	C₂×C₄	semidirect
465. C₂×#11719921	C₂×C₄	semidirect
466. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
467. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
468. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
469. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
470. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
471. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
472. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
473. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
487. C₂×#41×C₅₃	C₂×C₄	semidirect
488. C₂²×D₄×C₅₃	C₂×C₄	semidirect
489. #124×C₅₃	C₂×C₄	semidirect
490. #123×C₅₃	C₂×C₄	semidirect
491. #123×C₅₃	C₂×C₄	semidirect
492. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
493. #121×C₅₃	C₂×C₄	semidirect
494. #121×C₅₃	C₂×C₄	semidirect
495. #121×C₅₃	C₂×C₄	semidirect
496. #120×C₅₃	C₂×C₄	semidirect
497. #120×C₅₃	C₂×C₄	semidirect
498. C₄×D₄×C₅₃	C₂×C₄	semidirect
499. C₄×D₄×C₅₃	C₂×C₄	semidirect
500. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
501. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
570. C₂²×#6157	#41	semidirect
588. C₂×Q₈×C₅₃	C₂²×C₄	semidirect
597. C₂×D₄×C₅₃	C₂²×C₄	semidirect
598. C₂×D₄×C₅₃	C₂²×C₄	semidirect
602. C₂²×C₄×C₅₃	C₂²×C₄	semidirect
603. C₂²×C₄×C₅₃	C₂²×C₄	semidirect
604. C₂²×C₄×C₅₃	C₂²×C₄	semidirect
621. C₂×C₂²⋊D₅₃	C₂²×C₄	semidirect
622. C₂×C₂²⋊D₅₃	C₂²×C₄	semidirect
623. C₂×C₂²⋊D₅₃	C₂²×C₄	semidirect
624. C₂×C₂²⋊D₅₃	C₂²×C₄	semidirect
628. C₂²×Dic₅₃	C₂²×C₄	semidirect
629. C₂²×Dic₅₃	C₂²×C₄	semidirect
630. C₂²×Dic₅₃	C₂²×C₄	semidirect
670. C₂×D₂₁₂	C₂²×C₄	semidirect
671. C₂×D₂₁₂	C₂²×C₄	semidirect
690. C₂×C₄×D₅₃	C₂²×C₄	semidirect
691. C₂×C₄×D₅₃	C₂²×C₄	semidirect
692. C₂×C₄×D₅₃	C₂²×C₄	semidirect
693. C₂×C₄×D₅₃	C₂²×C₄	semidirect
694. C₂×C₄×D₅₃	C₂²×C₄	semidirect
695. C₂×C₄×D₅₃	C₂²×C₄	semidirect
705. C₂×Dic₁₀₆	C₂²×C₄	semidirect
706. C₂×Dic₁₀₆	C₂²×C₄	semidirect
707. C₂×Dic₁₀₆	C₂²×C₄	semidirect
741. C₂²⋊#6157	#41	semidirect
774. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
775. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
776. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
777. C₄⋊C₄×C₅₃	C₂²×C₄	semidirect
785. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
786. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
787. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
788. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
789. C₂²⋊C₄×C₅₃	C₂²×C₄	semidirect
790. C₄²×C₅₃	C₂²×C₄	semidirect
798. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
799. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
800. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
801. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
802. C₂²⋊Dic₅₃	C₂²×C₄	semidirect
817. #11719921	C₂²×C₄	semidirect
818. #11719921	C₂²×C₄	semidirect
819. #11719921	C₂²×C₄	semidirect
820. #11719921	C₂²×C₄	semidirect
821. #11719921	C₂²×C₄	semidirect
822. #11719921	C₂²×C₄	semidirect
823. #11719921	C₂²×C₄	semidirect
824. #11719921	C₂²×C₄	semidirect
825. #11719921	C₂²×C₄	semidirect
826. #11719921	C₂²×C₄	semidirect
827. C₄⋊Dic₅₃	C₂²×C₄	semidirect
828. C₄⋊Dic₅₃	C₂²×C₄	semidirect
829. C₄⋊Dic₅₃	C₂²×C₄	semidirect
830. C₄⋊Dic₅₃	C₂²×C₄	semidirect
831. #11719919	C₂²×C₄	semidirect
832. #11719919	C₂²×C₄	semidirect
833. #11719919	C₂²×C₄	semidirect
834. #11719919	C₂²×C₄	semidirect
835. #11719919	C₂²×C₄	semidirect
836. #11719919	C₂²×C₄	semidirect
837. #11719919	C₂²×C₄	semidirect
838. #11719919	C₂²×C₄	semidirect
839. C₄×Dic₅₃	C₂²×C₄	semidirect
840. C₄×Dic₅₃	C₂²×C₄	semidirect
841. C₄×Dic₅₃	C₂²×C₄	semidirect
1263. #546	#6157	semidirect
1416. C₅₃	#34302	semidirect
1428. C₂×#41	C₂×#6157	semidirect
1448. C₂²×D₄	C₂×#6157	semidirect
1479. #124	C₂×#6157	semidirect
1494. #123	C₂×#6157	semidirect
1495. #123	C₂×#6157	semidirect
1503. C₂²⋊Q₈	C₂×#6157	semidirect
1525. #121	C₂×#6157	semidirect
1526. #121	C₂×#6157	semidirect
1527. #121	C₂×#6157	semidirect
1542. #120	C₂×#6157	semidirect
1543. #120	C₂×#6157	semidirect
1566. C₄×D₄	C₂×#6157	semidirect
1567. C₄×D₄	C₂×#6157	semidirect
1651. C₂×C₂²⋊C₄	C₂×#6157	semidirect
1652. C₂×C₂²⋊C₄	C₂×#6157	semidirect
1755. C₂×Q₈	C₂²×#6157	semidirect
1816. C₂×D₄	C₂²×#6157	semidirect
1817. C₂×D₄	C₂²×#6157	semidirect
1919. C₂²×C₄	C₂²×#6157	semidirect
1920. C₂²×C₄	C₂²×#6157	semidirect
1921. C₂²×C₄	C₂²×#6157	semidirect
1946. C₄⋊C₄	C₂²×#6157	semidirect
1947. C₄⋊C₄	C₂²×#6157	semidirect
1948. C₄⋊C₄	C₂²×#6157	semidirect
1949. C₄⋊C₄	C₂²×#6157	semidirect
2027. C₂²⋊C₄	C₂²×#6157	semidirect
2028. C₂²⋊C₄	C₂²×#6157	semidirect
2029. C₂²⋊C₄	C₂²×#6157	semidirect
2030. C₂²⋊C₄	C₂²×#6157	semidirect
2031. C₂²⋊C₄	C₂²×#6157	semidirect
2055. C₄²	C₂²×#6157	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20291253	2
#20291251	2
#20291247	2
#20291243	2
#20291242	2
#20291238	2
#20291237	2
#20291232	2
#20291221	2
#20291218	2
D₄×C₂²⋊#6157	2
#20291216	2
#20291214	2
#20291212	2
#20291208	2
#20291200	2
#123×#6157	2
#121×#6157	2
#120×#6157	2
#20291176	2
#20291169	2
C₂×#16811571	2
#20291154	2
#20291151	2
C₂×C₂²⋊C₄×#6157	2
#546×D₅₃	2
#34302	53