Subgroups — #28328950

Order 13568.

2396 conjugacy classes of subgroups.

The subgroup lattice has 2134 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	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291247	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291246	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291241	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291237	C₂	1	1	yes	maximal, characteristic
10	#20291236	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291226	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291222	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291221	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291221	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	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291211	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291201	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291200	C₂	1	1	yes	maximal, characteristic
22	#126×#6157	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²⋊Q₈×#6157	C₂	1	1	yes	maximal, characteristic, complemented
24	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291177	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291169	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811573	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291152	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291151	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₄×#6157	C₂	1	1	yes	maximal, characteristic, complemented
31	#551×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×#6157	C₂²	1	1	yes	characteristic, complemented
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×#13133296	C₂²	1	1	yes	characteristic
37	C₂×#13133296	C₂²	1	1	yes	characteristic
38	C₂²×C₄⋊#6157	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
40	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
41	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
42	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic
43	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic, complemented
44	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	#16811575	C₂²	1	1	yes	characteristic
48	#16811575	C₂²	1	1	yes	characteristic
49	#16811575	C₂²	1	1	yes	characteristic
50	#16811574	C₂²	1	1	yes	characteristic, complemented
51	#16811574	C₂²	1	1	yes	characteristic, complemented
52	#16811574	C₂²	1	1	yes	characteristic, complemented
53	#16811574	C₂²	1	1	yes	characteristic, complemented
54	#16811573	C₂²	1	1	yes	characteristic
55	#16811573	C₂²	1	1	yes	characteristic
56	#16811573	C₂²	1	1	yes	characteristic
57	#16811573	C₂²	1	1	yes	characteristic
58	#16811573	C₂²	1	1	yes	characteristic
59	#16811573	C₂²	1	1	yes	characteristic
60	#16811573	C₂²	1	1	yes	characteristic
61	#16811573	C₂²	1	1	yes	characteristic
62	#16811573	C₂²	1	1	yes	characteristic
63	#16811573	C₂²	1	1	yes	characteristic
64	#16811573	C₂²	1	1	yes	characteristic
65	#16811573	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811573	C₂²	1	1	yes	characteristic
75	#16811573	C₂²	1	1	yes	characteristic
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	#16811573	C₂²	1	1	yes	characteristic, complemented
81	#16811573	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	#16811572	C₂²	1	1	yes	characteristic, complemented
91	#16811572	C₂²	1	1	yes	characteristic, complemented
92	#16811572	C₂²	1	1	yes	characteristic, complemented
93	#16811572	C₂²	1	1	yes	characteristic, complemented
94	#16811572	C₂²	1	1	yes	characteristic, complemented
95	#16811572	C₂²	1	1	yes	characteristic, complemented
96	#16811572	C₂²	1	1	yes	characteristic, complemented
97	#16811572	C₂²	1	1	yes	characteristic, complemented
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	#16811570	C₂²	1	1	yes	characteristic
105	#16811570	C₂²	1	1	yes	characteristic
106	#16811570	C₂²	1	1	yes	characteristic
107	#16811570	C₂²	1	1	yes	characteristic
108	#16811570	C₂²	1	1	yes	characteristic
109	#16811570	C₂²	1	1	yes	characteristic
110	#16811570	C₂²	1	1	yes	characteristic
111	#16811570	C₂²	1	1	yes	characteristic, complemented
112	#16811570	C₂²	1	1	yes	characteristic, complemented
113	#16811570	C₂²	1	1	yes	characteristic, complemented
114	#16811568	C₂²	1	1	yes	characteristic, complemented
115	#16811568	C₂²	1	1	yes	characteristic, complemented
116	#16811567	C₂²	1	1	yes	characteristic, complemented
117	#16811566	C₂²	1	1	yes	characteristic
118	#16811566	C₂²	1	1	yes	characteristic
119	#16811566	C₂²	1	1	yes	characteristic, complemented
120	#16811565	C₂²	1	1	yes	characteristic
121	#16811565	C₂²	1	1	yes	characteristic
122	#16811564	C₂²	1	1	yes	characteristic
123	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
124	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
125	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
126	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
127	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
128	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
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	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
135	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
136	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
137	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
139	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
140	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
141	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
142	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
143	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
144	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
145	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
146	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
147	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
159	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
167	#16811559	C₂²	1	1	yes	characteristic, complemented
168	#16811559	C₂²	1	1	yes	characteristic, complemented
169	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic
171	C₄²×#6157	C₂²	1	1	yes	characteristic, complemented
172	#16811304	C₄	1	1	yes	characteristic, complemented
173	#16811303	C₄	1	1	yes	characteristic, complemented
174	#16811302	C₄	1	1	yes	characteristic, complemented
175	#16811302	C₄	1	1	yes	characteristic, complemented
176	#16811301	C₄	1	1	yes	characteristic, complemented
177	#16811300	C₄	1	1	yes	characteristic, complemented
178	#16811300	C₄	1	1	yes	characteristic, complemented
179	#16811299	C₄	1	1	yes	characteristic, complemented
180	#16811299	C₄	1	1	yes	characteristic, complemented
181	#16811298	C₄	1	1	yes	characteristic, complemented
182	#16811298	C₄	1	1	yes	characteristic, complemented
183	#16811297	C₄	1	1	yes	characteristic, complemented
184	#16811297	C₄	1	1	yes	characteristic, complemented
185	#16811296	C₄	1	1	yes	characteristic, complemented
186	#16811296	C₄	1	1	yes	characteristic, complemented
187	#126×D₅₃	C₂²	1	1	yes	characteristic
188	#126×D₅₃	C₂²	1	1	yes	characteristic
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	#123×D₅₃	C₂²	1	1	yes	characteristic
193	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
194	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
195	#120×D₅₃	C₂²	1	1	yes	characteristic
196	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
197	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
198	#117×D₅₃	C₂²	1	1	yes	characteristic
199	#117×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×#551	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	C₂³	1	1	yes	characteristic
204	C₂³×#6157	C₂³	1	1	yes	characteristic
205	C₂³×#6157	C₂³	1	1	yes	characteristic
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	Q₈×#6157	—	4	2	no	—
212	D₄×#6157	—	2	4	no	—
213	D₄×#6157	—	2	4	no	—
214	D₄×#6157	—	4	2	no	—
215	#13133296	—	2	4	no	—
216	#13133296	—	4	2	no	—
217	C₂×C₄⋊#6157	—	2	4	no	—
218	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
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×C₂²⋊#6157	—	2	4	no	—
237	C₂×C₂²⋊#6157	—	2	4	no	—
238	C₂×C₂²⋊#6157	—	4	2	no	—
239	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
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×C₄×#6157	—	4	2	no	—
264	C₂×C₄×#6157	—	4	2	no	—
265	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
266	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
267	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
268	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
269	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
270	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
271	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
272	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
273	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
274	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
275	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
276	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
277	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
278	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
279	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
280	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
281	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
282	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
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×#6157)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	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	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
336	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
337	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
341	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
342	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
343	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
345	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
346	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
347	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
348	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
349	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
350	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
354	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
360	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
361	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
362	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
365	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133187	C₂×C₄	1	1	yes	characteristic
402	#13133187	C₂×C₄	1	1	yes	characteristic
403	#13133187	C₂×C₄	1	1	yes	characteristic
404	#13133186	C₂×C₄	1	1	yes	characteristic
405	#13133185	C₂×C₄	1	1	yes	characteristic
406	#13133185	C₂×C₄	1	1	yes	characteristic
407	#13133185	C₂×C₄	1	1	yes	characteristic
408	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
409	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
410	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
411	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
414	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
415	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
416	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
417	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
423	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
430	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
432	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
433	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
434	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
435	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
436	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
437	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
438	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
439	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
440	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
441	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
442	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
443	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
444	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
445	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
446	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
447	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
448	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
449	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
450	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
451	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
452	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
453	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
454	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
455	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
456	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
457	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
458	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
459	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
461	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
462	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
463	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
464	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
465	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
466	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
472	C₄²×D₅₃	C₂³	1	1	yes	characteristic
473	C₄²×D₅₃	C₂³	1	1	yes	characteristic
474	C₄²×D₅₃	C₂³	1	1	yes	characteristic
475	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
481	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	#120×C₅₃	C₂×C₄	1	1	yes	characteristic
484	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
485	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
486	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
487	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
488	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
489	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
490	C₂⁴×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂³×D₅₃	—	2	2	no	—
492	C₂³×D₅₃	—	2	2	no	—
493	C₂³×D₅₃	—	4	1	no	—
494	C₂³×D₅₃	—	4	1	no	—
495	C₂³×D₅₃	—	4	1	no	—
496	C₂³×D₅₃	—	4	1	no	—
497	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
498	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
499	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
500	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
501	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
502	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
503	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
504	C₂²×#6157	—	2	2	no	—
505	C₂²×#6157	—	2	2	no	—
506	C₂²×#6157	—	2	2	no	—
507	C₂²×#6157	—	2	2	no	—
508	C₂²×#6157	—	2	2	no	—
509	C₂²×#6157	—	2	2	no	—
510	C₂²×#6157	—	2	2	no	—
511	C₂²×#6157	—	2	2	no	—
512	C₂²×#6157	—	2	2	no	—
513	C₂²×#6157	—	4	1	no	—
514	C₂²×#6157	—	4	1	no	—
515	C₂²×#6157	—	4	1	no	—
516	C₂²×#6157	—	4	1	no	—
517	C₂²×#6157	—	4	1	no	—
518	C₂²×#6157	—	4	1	no	—
519	C₂²×#6157	—	4	1	no	—
520	C₂²×#6157	—	4	1	no	—
521	C₂²×#6157	—	4	1	no	—
522	C₂²×#6157	—	4	1	no	—
523	C₂²×#6157	—	4	1	no	—
524	C₂²×#6157	—	4	1	no	—
525	C₂²×#6157	—	4	1	no	—
526	C₂²×#6157	—	4	1	no	—
527	C₂²×#6157	#41	1	4	yes	—
528	C₂²×#6157	C₂⁴	1	1	yes	characteristic
529	C₂²×#6157	C₂⁴	1	1	yes	characteristic
530	C₂²×#6157	C₂⁴	1	1	yes	characteristic
531	C₂²×#6157	C₂⁴	1	1	yes	characteristic
532	C₂²×#6157	C₂⁴	1	1	yes	characteristic
533	C₂²×#6157	C₂⁴	1	1	yes	characteristic
534	C₂²×#6157	C₂⁴	1	1	yes	characteristic
535	C₂²×#6157	C₂⁴	1	1	yes	characteristic
536	C₂²×#6157	C₂⁴	1	1	yes	characteristic
537	C₂²×#6157	C₂⁴	1	1	yes	characteristic
538	C₂²×#6157	C₂⁴	1	1	yes	characteristic
539	C₂²×#6157	C₂⁴	1	1	yes	characteristic
540	C₂²×#6157	C₂⁴	1	1	yes	characteristic
541	C₂²×#6157	C₂⁴	1	1	yes	characteristic
542	C₂²×#6157	C₂⁴	1	1	yes	characteristic
543	C₂²×#6157	C₂⁴	1	1	yes	characteristic
544	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
548	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
549	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
550	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
551	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
552	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
559	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
560	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
561	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
562	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
563	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
564	Q₈×D₅₃	—	4	1	no	—
565	Q₈×D₅₃	—	4	1	no	—
566	D₄×D₅₃	—	2	2	no	—
567	D₄×D₅₃	—	2	2	no	—
568	D₄×D₅₃	—	4	1	no	—
569	D₄×D₅₃	—	4	1	no	—
570	D₄×D₅₃	—	4	1	no	—
571	D₄×D₅₃	—	4	1	no	—
572	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
573	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
574	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄×D₅₃	—	2	2	no	—
576	C₂×C₄×D₅₃	—	2	2	no	—
577	C₂×C₄×D₅₃	—	4	1	no	—
578	C₂×C₄×D₅₃	—	4	1	no	—
579	C₂×C₄×D₅₃	—	4	1	no	—
580	C₂×C₄×D₅₃	—	4	1	no	—
581	C₂×C₄×D₅₃	—	4	1	no	—
582	C₂×C₄×D₅₃	—	4	1	no	—
583	C₂×C₄×D₅₃	—	4	1	no	—
584	C₂×C₄×D₅₃	—	4	1	no	—
585	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
597	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
598	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
606	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
607	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
608	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
609	C₂²⋊#6157	—	2	2	no	—
610	C₂²⋊#6157	—	2	2	no	—
611	C₂²⋊#6157	—	2	2	no	—
612	C₂²⋊#6157	—	2	2	no	—
613	C₂²⋊#6157	—	2	2	no	—
614	C₂²⋊#6157	—	2	2	no	—
615	C₂²⋊#6157	—	2	2	no	—
616	C₂²⋊#6157	—	2	2	no	—
617	C₂²⋊#6157	—	2	2	no	—
618	C₂²⋊#6157	—	2	2	no	—
619	C₂²⋊#6157	—	2	2	no	—
620	C₂²⋊#6157	—	2	2	no	—
621	C₂²⋊#6157	—	2	2	no	—
622	C₂²⋊#6157	—	4	1	no	—
623	C₂²⋊#6157	—	4	1	no	—
624	C₂²⋊#6157	—	4	1	no	—
625	C₂²⋊#6157	—	4	1	no	—
626	C₂²⋊#6157	—	4	1	no	—
627	C₂²⋊#6157	—	4	1	no	—
628	C₂²⋊#6157	—	4	1	no	—
629	C₂²⋊#6157	—	4	1	no	—
630	C₂²⋊#6157	—	4	1	no	—
631	C₂²⋊#6157	—	4	1	no	—
632	C₂²⋊#6157	#41	1	4	yes	—
633	C₄⋊#6157	—	2	2	no	—
634	C₄⋊#6157	—	2	2	no	—
635	C₄⋊#6157	—	2	2	no	—
636	C₄⋊#6157	—	2	2	no	—
637	C₄⋊#6157	—	2	2	no	—
638	C₄⋊#6157	—	2	2	no	—
639	C₄⋊#6157	—	2	2	no	—
640	C₄⋊#6157	—	2	2	no	—
641	C₄⋊#6157	—	2	2	no	—
642	C₄⋊#6157	—	2	2	no	—
643	C₄⋊#6157	—	4	1	no	—
644	C₄⋊#6157	—	4	1	no	—
645	C₄⋊#6157	—	4	1	no	—
646	C₄⋊#6157	—	4	1	no	—
647	C₄⋊#6157	—	4	1	no	—
648	C₄⋊#6157	—	4	1	no	—
649	C₄⋊#6157	—	4	1	no	—
650	C₄⋊#6157	—	4	1	no	—
651	C₄×#6157	—	2	2	no	—
652	C₄×#6157	—	2	2	no	—
653	C₄×#6157	—	2	2	no	—
654	C₄×#6157	—	2	2	no	—
655	C₄×#6157	—	2	2	no	—
656	C₄×#6157	—	2	2	no	—
657	C₄×#6157	—	2	2	no	—
658	C₄×#6157	—	4	1	no	—
659	C₄×#6157	—	4	1	no	—
660	C₄×#6157	—	4	1	no	—
661	C₄×#6157	—	4	1	no	—
662	C₄×#6157	—	4	1	no	—
663	C₄×#6157	—	4	1	no	—
664	C₄×#6157	—	4	1	no	—
665	C₄×#6157	—	4	1	no	—
666	C₄×#6157	—	4	1	no	—
667	C₄×#6157	—	4	1	no	—
668	C₄×#6157	—	4	1	no	—
669	C₄×#6157	—	4	1	no	—
670	C₄×#6157	—	4	1	no	—
671	C₄×#6157	—	4	1	no	—
672	C₄×#6157	—	4	1	no	—
673	C₄×#6157	—	4	1	no	—
674	C₄×#6157	—	4	1	no	—
675	C₄×#6157	—	4	1	no	—
676	C₄×#6157	—	4	1	no	—
677	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
682	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
687	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
691	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
692	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
693	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
694	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
699	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
700	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
701	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
702	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
703	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
704	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
705	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
706	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
707	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
708	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
709	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
710	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
711	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
712	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
713	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
714	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
715	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
716	#11719921	C₂²×C₄	1	1	yes	characteristic
717	#11719921	C₂²×C₄	1	1	yes	characteristic
718	#11719921	C₂²×C₄	1	1	yes	characteristic
719	#11719921	C₂²×C₄	1	1	yes	characteristic
720	#11719921	C₂²×C₄	1	1	yes	characteristic
721	#11719921	C₂²×C₄	1	1	yes	characteristic
722	#11719921	C₂²×C₄	1	1	yes	characteristic
723	#11719921	C₂²×C₄	1	1	yes	characteristic
724	#11719921	C₂²×C₄	1	1	yes	characteristic
725	#11719921	C₂²×C₄	1	1	yes	characteristic
726	#11719921	C₂²×C₄	1	1	yes	characteristic
727	#11719921	C₂²×C₄	1	1	yes	characteristic
728	#11719921	C₂²×C₄	1	1	yes	characteristic
729	#11719921	C₂²×C₄	1	1	yes	characteristic
730	#11719921	C₂²×C₄	1	1	yes	characteristic
731	#11719921	C₂²×C₄	1	1	yes	characteristic
732	#11719921	C₂²×C₄	1	1	yes	characteristic
733	#11719921	C₂²×C₄	1	1	yes	characteristic
734	#11719921	C₂²×C₄	1	1	yes	characteristic
735	#11719921	C₂²×C₄	1	1	yes	characteristic
736	#11719921	C₂²×C₄	1	1	yes	characteristic
737	#11719921	C₂²×C₄	1	1	yes	characteristic
738	#11719921	C₂²×C₄	1	1	yes	characteristic
739	#11719921	C₂²×C₄	1	1	yes	characteristic
740	#11719921	C₂²×C₄	1	1	yes	characteristic
741	#11719921	C₂²×C₄	1	1	yes	characteristic
742	#11719921	C₂²×C₄	1	1	yes	characteristic
743	#11719921	C₂²×C₄	1	1	yes	characteristic
744	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
745	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
746	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
747	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
748	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
749	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
750	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
751	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
752	#11719919	C₂²×C₄	1	1	yes	characteristic
753	#11719919	C₂²×C₄	1	1	yes	characteristic
754	#11719919	C₂²×C₄	1	1	yes	characteristic
755	#11719919	C₂²×C₄	1	1	yes	characteristic
756	#11719919	C₂²×C₄	1	1	yes	characteristic
757	#11719919	C₂²×C₄	1	1	yes	characteristic
758	#11719919	C₂²×C₄	1	1	yes	characteristic
759	#11719919	C₂²×C₄	1	1	yes	characteristic
760	#11719919	C₂²×C₄	1	1	yes	characteristic
761	#11719919	C₂²×C₄	1	1	yes	characteristic
762	#11719919	C₂²×C₄	1	1	yes	characteristic
763	#11719919	C₂²×C₄	1	1	yes	characteristic
764	#11719919	C₂²×C₄	1	1	yes	characteristic
765	#11719919	C₂²×C₄	1	1	yes	characteristic
766	#11719919	C₂²×C₄	1	1	yes	characteristic
767	#11719919	C₂²×C₄	1	1	yes	characteristic
768	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
769	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
770	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
771	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
772	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
773	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
774	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
775	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
776	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
777	C₂³×C₅₃	—	2	2	no	—
778	C₂³×C₅₃	—	4	1	no	—
779	C₂³×C₅₃	—	4	1	no	—
780	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
781	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
782	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
783	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
784	C₂²×D₅₃	—	2	1	no	—
785	C₂²×D₅₃	—	2	1	no	—
786	C₂²×D₅₃	—	2	1	no	—
787	C₂²×D₅₃	—	2	1	no	—
788	C₂²×D₅₃	—	2	2	no	—
789	C₂²×D₅₃	—	2	1	no	—
790	C₂²×D₅₃	—	2	1	no	—
791	C₂²×D₅₃	—	2	1	no	—
792	C₂²×D₅₃	—	2	1	no	—
793	C₂²×D₅₃	—	2	1	no	—
794	C₂²×D₅₃	—	2	1	no	—
795	C₂²×D₅₃	—	2	1	no	—
796	C₂²×D₅₃	—	2	1	no	—
797	C₂²×D₅₃	—	2	1	no	—
798	C₂²×D₅₃	—	2	1	no	—
799	C₂²×D₅₃	—	2	1	no	—
800	C₂²×D₅₃	—	2	1	no	—
801	C₂²×D₅₃	—	2	1	no	—
802	C₂²×D₅₃	—	2	1	no	—
803	C₂²×D₅₃	—	2	1	no	—
804	C₂²×D₅₃	—	2	1	no	—
805	C₂²×D₅₃	—	2	1	no	—
806	C₂²×D₅₃	—	2	1	no	—
807	C₂²×D₅₃	—	2	2	no	—
808	C₂²×D₅₃	—	2	2	no	—
809	C₂²×D₅₃	—	4	1	no	—
810	C₂²×D₅₃	—	4	1	no	—
811	C₂²×D₅₃	—	4	1	no	—
812	C₂²×D₅₃	—	4	1	no	—
813	C₂²×D₅₃	—	4	1	no	—
814	C₂²×D₅₃	—	4	1	no	—
815	C₂²×D₅₃	—	8	2	no	—
816	C₂²×D₅₃	—	8	2	no	—
817	C₂²×D₅₃	—	8	2	no	—
818	C₂²×D₅₃	—	8	2	no	—
819	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
820	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
821	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
822	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
823	C₂²×D₅₃	C₂×#41	1	2	yes	—
824	C₂²×D₅₃	C₂×#41	1	2	yes	—
825	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
826	C₂×#6157	—	2	1	no	—
827	C₂×#6157	—	2	1	no	—
828	C₂×#6157	—	2	1	no	—
829	C₂×#6157	—	2	1	no	—
830	C₂×#6157	—	2	1	no	—
831	C₂×#6157	—	2	1	no	—
832	C₂×#6157	—	2	1	no	—
833	C₂×#6157	—	2	1	no	—
834	C₂×#6157	—	2	1	no	—
835	C₂×#6157	—	2	1	no	—
836	C₂×#6157	—	2	1	no	—
837	C₂×#6157	—	2	1	no	—
838	C₂×#6157	—	2	1	no	—
839	C₂×#6157	—	2	1	no	—
840	C₂×#6157	—	2	1	no	—
841	C₂×#6157	—	2	1	no	—
842	C₂×#6157	—	2	1	no	—
843	C₂×#6157	—	2	1	no	—
844	C₂×#6157	—	2	1	no	—
845	C₂×#6157	—	2	1	no	—
846	C₂×#6157	—	2	1	no	—
847	C₂×#6157	—	2	1	no	—
848	C₂×#6157	—	2	1	no	—
849	C₂×#6157	—	2	1	no	—
850	C₂×#6157	—	2	1	no	—
851	C₂×#6157	—	2	1	no	—
852	C₂×#6157	—	2	1	no	—
853	C₂×#6157	—	2	1	no	—
854	C₂×#6157	—	2	1	no	—
855	C₂×#6157	—	2	1	no	—
856	C₂×#6157	—	2	1	no	—
857	C₂×#6157	—	2	1	no	—
858	C₂×#6157	—	2	1	no	—
859	C₂×#6157	—	2	1	no	—
860	C₂×#6157	—	2	1	no	—
861	C₂×#6157	—	2	1	no	—
862	C₂×#6157	—	2	1	no	—
863	C₂×#6157	—	2	1	no	—
864	C₂×#6157	—	2	1	no	—
865	C₂×#6157	—	2	1	no	—
866	C₂×#6157	—	2	1	no	—
867	C₂×#6157	—	2	1	no	—
868	C₂×#6157	—	2	1	no	—
869	C₂×#6157	—	4	4	no	—
870	C₂×#6157	—	4	4	no	—
871	C₂×#6157	—	4	4	no	—
872	C₂×#6157	—	4	4	no	—
873	C₂×#6157	—	8	2	no	—
874	C₂×#6157	—	8	2	no	—
875	C₂×#6157	—	8	2	no	—
876	C₂×#6157	—	8	2	no	—
877	C₂×#6157	C₂×#41	1	2	yes	—
878	C₂×#6157	C₂×#41	1	2	yes	—
879	C₂×#6157	C₂×#41	1	2	yes	—
880	C₂×#6157	C₂×#41	1	2	yes	—
881	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
882	Q₈×C₅₃	—	4	1	no	—
883	D₄×C₅₃	—	2	2	no	—
884	D₄×C₅₃	—	4	1	no	—
885	D₄×C₅₃	—	4	1	no	—
886	C₂×C₄×C₅₃	—	2	2	no	—
887	C₂×C₄×C₅₃	—	4	1	no	—
888	C₂×C₄×C₅₃	—	4	1	no	—
889	C₂×C₄×C₅₃	—	4	1	no	—
890	C₂×C₄×C₅₃	—	4	1	no	—
891	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
892	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
893	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
894	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
895	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
896	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
897	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
898	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
899	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
900	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
901	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
902	C₂²⋊D₅₃	—	2	2	no	—
903	C₂²⋊D₅₃	—	2	2	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	C₂×Dic₅₃	—	2	2	no	—
909	C₂×Dic₅₃	—	4	1	no	—
910	C₂×Dic₅₃	—	4	1	no	—
911	C₂×Dic₅₃	—	4	1	no	—
912	C₂×Dic₅₃	—	4	1	no	—
913	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
914	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
915	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
916	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
917	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
918	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
919	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
920	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
921	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
922	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
923	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
924	D₂₁₂	—	2	2	no	—
925	D₂₁₂	—	4	1	no	—
926	D₂₁₂	—	4	1	no	—
927	C₄×D₅₃	—	2	2	no	—
928	C₄×D₅₃	—	2	2	no	—
929	C₄×D₅₃	—	2	1	no	—
930	C₄×D₅₃	—	2	1	no	—
931	C₄×D₅₃	—	2	1	no	—
932	C₄×D₅₃	—	2	1	no	—
933	C₄×D₅₃	—	2	1	no	—
934	C₄×D₅₃	—	2	1	no	—
935	C₄×D₅₃	—	2	1	no	—
936	C₄×D₅₃	—	2	1	no	—
937	C₄×D₅₃	—	2	1	no	—
938	C₄×D₅₃	—	2	1	no	—
939	C₄×D₅₃	—	2	1	no	—
940	C₄×D₅₃	—	2	1	no	—
941	C₄×D₅₃	—	2	1	no	—
942	C₄×D₅₃	—	2	1	no	—
943	C₄×D₅₃	—	2	1	no	—
944	C₄×D₅₃	—	2	1	no	—
945	C₄×D₅₃	—	2	1	no	—
946	C₄×D₅₃	—	2	1	no	—
947	C₄×D₅₃	—	2	1	no	—
948	C₄×D₅₃	—	2	1	no	—
949	C₄×D₅₃	—	2	1	no	—
950	C₄×D₅₃	—	2	1	no	—
951	C₄×D₅₃	—	4	1	no	—
952	C₄×D₅₃	—	4	1	no	—
953	C₄×D₅₃	—	4	1	no	—
954	C₄×D₅₃	—	4	1	no	—
955	C₄×D₅₃	—	4	1	no	—
956	C₄×D₅₃	—	4	1	no	—
957	C₄×D₅₃	—	4	1	no	—
958	C₄×D₅₃	—	4	1	no	—
959	Dic₁₀₆	—	4	1	no	—
960	Dic₁₀₆	—	4	1	no	—
961	Dic₁₀₆	—	4	1	no	—
962	#34315	—	53	1	no	maximal, Sylow
963	C₂²×C₅₃	—	2	1	no	—
964	C₂²×C₅₃	—	2	1	no	—
965	C₂²×C₅₃	—	2	1	no	—
966	C₂²×C₅₃	—	2	1	no	—
967	C₂²×C₅₃	—	2	1	no	—
968	C₂²×C₅₃	—	2	1	no	—
969	C₂²×C₅₃	—	2	1	no	—
970	C₂²×C₅₃	—	2	1	no	—
971	C₂²×C₅₃	—	2	1	no	—
972	C₂²×C₅₃	—	2	1	no	—
973	C₂²×C₅₃	—	2	1	no	—
974	C₂²×C₅₃	—	8	2	no	—
975	C₂²×C₅₃	C₄×#41	1	2	yes	—
976	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
977	C₂×D₅₃	—	2	1	no	—
978	C₂×D₅₃	—	2	1	no	—
979	C₂×D₅₃	—	2	2	no	—
980	C₂×D₅₃	—	2	2	no	—
981	C₂×D₅₃	—	2	2	no	—
982	C₂×D₅₃	—	2	2	no	—
983	C₂×D₅₃	—	2	1	no	—
984	C₂×D₅₃	—	2	1	no	—
985	C₂×D₅₃	—	2	1	no	—
986	C₂×D₅₃	—	2	1	no	—
987	C₂×D₅₃	—	2	1	no	—
988	C₂×D₅₃	—	2	1	no	—
989	C₂×D₅₃	—	2	1	no	—
990	C₂×D₅₃	—	2	1	no	—
991	C₂×D₅₃	—	2	1	no	—
992	C₂×D₅₃	—	4	1	no	—
993	C₂×D₅₃	—	4	1	no	—
994	C₂×D₅₃	—	4	1	no	—
995	C₂×D₅₃	—	4	1	no	—
996	C₂×D₅₃	—	4	1	no	—
997	C₂×D₅₃	—	4	1	no	—
998	C₂×D₅₃	—	4	1	no	—
999	C₂×D₅₃	—	4	1	no	—
1000	C₂×D₅₃	—	4	1	no	—
1001	C₂×D₅₃	—	4	1	no	—
1002	C₂×D₅₃	—	4	1	no	—
1003	C₂×D₅₃	—	4	1	no	—
1004	C₂×D₅₃	—	8	2	no	—
1005	C₂×D₅₃	—	8	2	no	—
1006	C₂×D₅₃	—	8	2	no	—
1007	C₂×D₅₃	C₄×#41	1	2	yes	—
1008	C₂×D₅₃	C₂²×#41	1	1	yes	characteristic
1009	C₂×D₅₃	C₂²×#41	1	1	yes	characteristic
1010	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1011	C₂×D₅₃	#585	1	1	yes	characteristic
1012	C₂×D₅₃	#585	1	1	yes	characteristic
1013	C₂×D₅₃	#585	1	1	yes	characteristic
1014	#6157	—	2	2	no	—
1015	#6157	—	2	2	no	—
1016	#6157	—	2	2	no	—
1017	#6157	—	2	2	no	—
1018	#6157	—	2	2	no	—
1019	#6157	—	4	1	no	—
1020	#6157	—	4	1	no	—
1021	#6157	—	4	1	no	—
1022	#6157	—	4	1	no	—
1023	#6157	—	4	1	no	—
1024	#6157	—	4	1	no	—
1025	#6157	—	4	1	no	—
1026	#6157	—	4	1	no	—
1027	#6157	—	4	1	no	—
1028	#6157	—	4	1	no	—
1029	#6157	—	4	1	no	—
1030	C₄×C₅₃	—	2	1	no	—
1031	C₄×C₅₃	—	2	1	no	—
1032	C₄×C₅₃	—	2	1	no	—
1033	C₄×C₅₃	—	2	1	no	—
1034	C₄×C₅₃	—	2	1	no	—
1035	C₄×C₅₃	—	2	1	no	—
1036	C₄×C₅₃	—	2	1	no	—
1037	C₄×C₅₃	—	2	1	no	—
1038	C₄×C₅₃	—	2	1	no	—
1039	C₄×C₅₃	—	2	1	no	—
1040	C₄×C₅₃	—	2	1	no	—
1041	Dic₅₃	—	2	1	no	—
1042	Dic₅₃	—	2	1	no	—
1043	Dic₅₃	—	2	1	no	—
1044	Dic₅₃	—	2	1	no	—
1045	Dic₅₃	—	2	1	no	—
1046	Dic₅₃	—	2	1	no	—
1047	Dic₅₃	—	2	1	no	—
1048	Dic₅₃	—	2	1	no	—
1049	Dic₅₃	—	2	1	no	—
1050	Dic₅₃	—	2	1	no	—
1051	Dic₅₃	—	2	1	no	—
1052	C₂×#551	—	53	1	no	—
1053	#2374	—	53	1	no	—
1054	#2374	—	53	1	no	—
1055	#2373	—	53	1	no	—
1056	#2373	—	53	1	no	—
1057	#2368	—	53	1	no	—
1058	#2367	—	53	1	no	—
1059	#2362	—	53	1	no	—
1060	#2359	—	53	1	no	—
1061	#2358	—	53	1	no	—
1062	#2357	—	53	1	no	—
1063	#2353	—	53	1	no	—
1064	#2347	—	53	1	no	—
1065	#2343	—	53	1	no	—
1066	#2342	—	53	1	no	—
1067	#2342	—	53	1	no	—
1068	#2337	—	53	1	no	—
1069	#2335	—	53	1	no	—
1070	#2334	—	53	1	no	—
1071	#2332	—	53	1	no	—
1072	#2322	—	53	1	no	—
1073	#2321	—	53	1	no	—
1074	C₄×#126	—	53	1	no	—
1075	C₄×C₂²⋊Q₈	—	53	1	no	—
1076	C₄×#123	—	53	1	no	—
1077	#2298	—	53	1	no	—
1078	#2290	—	53	1	no	—
1079	C₂×#388	—	53	1	no	—
1080	#2274	—	53	1	no	—
1081	#2273	—	53	1	no	—
1082	C₄²×D₄	—	53	1	no	—
1083	C₂×C₅₃	—	2	2	no	—
1084	C₂×C₅₃	—	4	1	no	—
1085	C₂×C₅₃	—	4	1	no	—
1086	C₂×C₅₃	—	4	1	no	—
1087	C₂×C₅₃	C₂×C₄×#41	1	1	yes	characteristic
1088	C₂×C₅₃	#3428	1	1	yes	characteristic
1089	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1090	D₅₃	—	2	2	no	—
1091	D₅₃	—	4	1	no	—
1092	D₅₃	—	4	1	no	—
1093	D₅₃	—	4	1	no	—
1094	D₅₃	#3505	1	1	yes	characteristic
1095	D₅₃	#3510	1	1	yes	characteristic
1096	D₅₃	#3513	1	1	yes	characteristic
1097	D₅₃	#3521	1	1	yes	characteristic
1098	#551	—	53	1	no	—
1099	#551	—	53	1	no	—
1100	#551	—	53	1	no	—
1101	#551	—	53	1	no	—
1102	#551	—	53	1	no	—
1103	#551	—	53	1	no	—
1104	#551	—	53	1	no	—
1105	#551	—	53	1	no	—
1106	#551	—	53	1	no	—
1107	#551	—	53	1	no	—
1108	#551	—	53	1	no	—
1109	#551	—	53	1	no	—
1110	#551	—	53	1	no	—
1111	#551	—	53	1	no	—
1112	#551	—	53	1	no	—
1113	#551	#6157	1	1	yes	characteristic, complemented
1114	C₂×#126	—	53	1	no	—
1115	C₂×#126	—	53	1	no	—
1116	C₂×#124	—	53	1	no	—
1117	C₂×#123	—	53	1	no	—
1118	C₂×#123	—	53	1	no	—
1119	C₂×#123	—	53	1	no	—
1120	C₂×C₂²⋊Q₈	—	53	1	no	—
1121	C₂×C₂²⋊Q₈	—	53	1	no	—
1122	C₂×#120	—	53	1	no	—
1123	C₂×C₄×Q₈	—	53	1	no	—
1124	C₂×C₄×D₄	—	53	1	no	—
1125	C₂×C₄×D₄	—	53	1	no	—
1126	C₂×C₄×D₄	—	53	1	no	—
1127	C₂×C₄×D₄	—	53	1	no	—
1128	C₂×C₄×D₄	—	53	1	no	—
1129	C₂×#117	—	53	1	no	—
1130	C₂×#117	—	53	1	no	—
1131	C₂×#117	—	53	1	no	—
1132	C₂×#117	—	53	1	no	—
1133	C₂²×C₄⋊C₄	—	53	1	no	—
1134	C₂²×C₂²⋊C₄	—	53	1	no	—
1135	C₂²×C₂²⋊C₄	—	53	1	no	—
1136	C₂²×C₂²⋊C₄	—	53	1	no	—
1137	C₂²×C₂²⋊C₄	—	53	1	no	—
1138	C₂²×C₂²⋊C₄	—	53	1	no	—
1139	C₂²×C₄²	—	53	1	no	—
1140	C₂²×C₄²	—	53	1	no	—
1141	#391	—	53	1	no	—
1142	#391	—	53	1	no	—
1143	#391	—	53	1	no	—
1144	#390	—	53	1	no	—
1145	#390	—	53	1	no	—
1146	#390	—	53	1	no	—
1147	#389	—	53	1	no	—
1148	#389	—	53	1	no	—
1149	#389	—	53	1	no	—
1150	#389	—	53	1	no	—
1151	#388	—	53	1	no	—
1152	#388	—	53	1	no	—
1153	#388	—	53	1	no	—
1154	#388	—	53	1	no	—
1155	#388	—	53	1	no	—
1156	#388	—	53	1	no	—
1157	#388	—	53	1	no	—
1158	#388	—	53	1	no	—
1159	#388	—	53	1	no	—
1160	#388	—	53	1	no	—
1161	#388	—	53	1	no	—
1162	#388	—	53	1	no	—
1163	#388	—	53	1	no	—
1164	#388	—	53	1	no	—
1165	#388	—	53	1	no	—
1166	#388	—	53	1	no	—
1167	#388	—	53	1	no	—
1168	#388	—	53	1	no	—
1169	#388	—	53	1	no	—
1170	#388	—	53	1	no	—
1171	#388	—	53	1	no	—
1172	#388	—	53	1	no	—
1173	#388	—	53	1	no	—
1174	#388	—	53	1	no	—
1175	#388	—	53	1	no	—
1176	#388	—	53	1	no	—
1177	#388	—	53	1	no	—
1178	#388	—	53	1	no	—
1179	#387	—	53	1	no	—
1180	#387	—	53	1	no	—
1181	#387	—	53	1	no	—
1182	#387	—	53	1	no	—
1183	#387	—	53	1	no	—
1184	#387	—	53	1	no	—
1185	#387	—	53	1	no	—
1186	#387	—	53	1	no	—
1187	#387	—	53	1	no	—
1188	#387	—	53	1	no	—
1189	#387	—	53	1	no	—
1190	#387	—	53	1	no	—
1191	#387	—	53	1	no	—
1192	#387	—	53	1	no	—
1193	#387	—	53	1	no	—
1194	#387	—	53	1	no	—
1195	#386	—	53	1	no	—
1196	#386	—	53	1	no	—
1197	#386	—	53	1	no	—
1198	#386	—	53	1	no	—
1199	#386	—	53	1	no	—
1200	#386	—	53	1	no	—
1201	#385	—	53	1	no	—
1202	#385	—	53	1	no	—
1203	#385	—	53	1	no	—
1204	#385	—	53	1	no	—
1205	#385	—	53	1	no	—
1206	#385	—	53	1	no	—
1207	#385	—	53	1	no	—
1208	#385	—	53	1	no	—
1209	#385	—	53	1	no	—
1210	#385	—	53	1	no	—
1211	#383	—	53	1	no	—
1212	#383	—	53	1	no	—
1213	#382	—	53	1	no	—
1214	#381	—	53	1	no	—
1215	#381	—	53	1	no	—
1216	#381	—	53	1	no	—
1217	#380	—	53	1	no	—
1218	#380	—	53	1	no	—
1219	#379	—	53	1	no	—
1220	C₄×C₄⋊C₄	—	53	1	no	—
1221	C₄×C₄⋊C₄	—	53	1	no	—
1222	C₄×C₄⋊C₄	—	53	1	no	—
1223	C₄×C₄⋊C₄	—	53	1	no	—
1224	C₄×C₄⋊C₄	—	53	1	no	—
1225	C₄×C₄⋊C₄	—	53	1	no	—
1226	C₄×C₄⋊C₄	—	53	1	no	—
1227	C₄×C₄⋊C₄	—	53	1	no	—
1228	C₄×C₄⋊C₄	—	53	1	no	—
1229	C₄×C₄⋊C₄	—	53	1	no	—
1230	C₄×C₄⋊C₄	—	53	1	no	—
1231	C₄×C₄⋊C₄	—	53	1	no	—
1232	C₄×C₄⋊C₄	—	53	1	no	—
1233	C₄×C₄⋊C₄	—	53	1	no	—
1234	C₄×C₄⋊C₄	—	53	1	no	—
1235	C₄×C₄⋊C₄	—	53	1	no	—
1236	C₄×C₄⋊C₄	—	53	1	no	—
1237	C₄×C₄⋊C₄	—	53	1	no	—
1238	C₄×C₂²⋊C₄	—	53	1	no	—
1239	C₄×C₂²⋊C₄	—	53	1	no	—
1240	C₄×C₂²⋊C₄	—	53	1	no	—
1241	C₄×C₂²⋊C₄	—	53	1	no	—
1242	C₄×C₂²⋊C₄	—	53	1	no	—
1243	C₄×C₂²⋊C₄	—	53	1	no	—
1244	C₄×C₂²⋊C₄	—	53	1	no	—
1245	C₄×C₂²⋊C₄	—	53	1	no	—
1246	C₄×C₂²⋊C₄	—	53	1	no	—
1247	C₄×C₂²⋊C₄	—	53	1	no	—
1248	C₄×C₂²⋊C₄	—	53	1	no	—
1249	C₄×C₂²⋊C₄	—	53	1	no	—
1250	C₄×C₂²⋊C₄	—	53	1	no	—
1251	C₄×C₂²⋊C₄	—	53	1	no	—
1252	C₄×C₂²⋊C₄	—	53	1	no	—
1253	C₄×C₂²⋊C₄	—	53	1	no	—
1254	C₄×C₂²⋊C₄	—	53	1	no	—
1255	C₄×C₂²⋊C₄	—	53	1	no	—
1256	C₄×C₂²⋊C₄	—	53	1	no	—
1257	C₄×C₂²⋊C₄	—	53	1	no	—
1258	C₄×C₂²⋊C₄	—	53	1	no	—
1259	C₄×C₂²⋊C₄	—	53	1	no	—
1260	C₄×C₂²⋊C₄	—	53	1	no	—
1261	C₄×C₂²⋊C₄	—	53	1	no	—
1262	C₄×C₂²⋊C₄	—	53	1	no	—
1263	C₄×C₂²⋊C₄	—	53	1	no	—
1264	#376	—	53	1	no	—
1265	#376	—	53	1	no	—
1266	C₂×#95	—	53	1	no	—
1267	C₂×#95	—	53	1	no	—
1268	C₄³	—	53	1	no	—
1269	C₅₃	#34315	1	1	yes	characteristic, complemented, Sylow
1270	C₂⁵	—	53	1	no	—
1271	C₂²×Q₈	—	53	1	no	—
1272	C₂²×D₄	—	53	1	no	—
1273	C₂²×D₄	—	53	1	no	—
1274	C₂²×D₄	—	53	1	no	—
1275	C₂³×C₄	—	53	1	no	—
1276	C₂³×C₄	—	53	1	no	—
1277	C₂³×C₄	—	53	1	no	—
1278	C₂³×C₄	—	53	1	no	—
1279	C₂³×C₄	—	53	1	no	—
1280	C₂³×C₄	—	53	1	no	—
1281	C₂³×C₄	—	53	1	no	—
1282	C₂³×C₄	—	53	1	no	—
1283	C₂³×C₄	—	53	1	no	—
1284	C₂³×C₄	—	53	1	no	—
1285	C₂³×C₄	—	53	1	no	—
1286	C₂³×C₄	—	53	1	no	—
1287	C₂³×C₄	—	53	1	no	—
1288	#126	—	53	1	no	—
1289	#126	—	53	1	no	—
1290	#126	—	53	1	no	—
1291	#126	—	53	1	no	—
1292	#126	—	53	1	no	—
1293	#126	—	53	1	no	—
1294	#126	—	53	1	no	—
1295	#126	—	53	1	no	—
1296	#126	—	53	1	no	—
1297	#126	—	53	1	no	—
1298	#126	—	53	1	no	—
1299	#126	—	53	1	no	—
1300	#126	—	53	1	no	—
1301	#126	—	53	1	no	—
1302	#126	C₂×#6157	1	1	yes	characteristic, complemented
1303	#126	C₂×#6157	1	1	yes	characteristic, complemented
1304	#124	—	53	1	no	—
1305	#124	—	53	1	no	—
1306	#124	—	53	1	no	—
1307	#124	—	53	1	no	—
1308	#124	—	53	1	no	—
1309	#124	—	53	1	no	—
1310	#124	—	53	1	no	—
1311	#124	C₂×#6157	1	1	yes	characteristic, complemented
1312	#123	—	53	1	no	—
1313	#123	—	53	1	no	—
1314	#123	—	53	1	no	—
1315	#123	—	53	1	no	—
1316	#123	—	53	1	no	—
1317	#123	—	53	1	no	—
1318	#123	—	53	1	no	—
1319	#123	—	53	1	no	—
1320	#123	—	53	1	no	—
1321	#123	—	53	1	no	—
1322	#123	—	53	1	no	—
1323	#123	—	53	1	no	—
1324	#123	—	53	1	no	—
1325	#123	—	53	1	no	—
1326	#123	—	53	1	no	—
1327	#123	—	53	1	no	—
1328	#123	—	53	1	no	—
1329	#123	—	53	1	no	—
1330	#123	—	53	1	no	—
1331	#123	—	53	1	no	—
1332	#123	—	53	1	no	—
1333	#123	C₂×#6157	1	1	yes	characteristic, complemented
1334	#123	C₂×#6157	1	1	yes	characteristic, complemented
1335	#123	C₂×#6157	1	1	yes	characteristic, complemented
1336	C₂²⋊Q₈	—	53	1	no	—
1337	C₂²⋊Q₈	—	53	1	no	—
1338	C₂²⋊Q₈	—	53	1	no	—
1339	C₂²⋊Q₈	—	53	1	no	—
1340	C₂²⋊Q₈	—	53	1	no	—
1341	C₂²⋊Q₈	—	53	1	no	—
1342	C₂²⋊Q₈	—	53	1	no	—
1343	C₂²⋊Q₈	—	53	1	no	—
1344	C₂²⋊Q₈	—	53	1	no	—
1345	C₂²⋊Q₈	—	53	1	no	—
1346	C₂²⋊Q₈	—	53	1	no	—
1347	C₂²⋊Q₈	—	53	1	no	—
1348	C₂²⋊Q₈	—	53	1	no	—
1349	C₂²⋊Q₈	—	53	1	no	—
1350	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1351	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1352	#120	—	53	1	no	—
1353	#120	—	53	1	no	—
1354	#120	—	53	1	no	—
1355	#120	—	53	1	no	—
1356	#120	—	53	1	no	—
1357	#120	—	53	1	no	—
1358	#120	—	53	1	no	—
1359	#120	C₂×#6157	1	1	yes	characteristic
1360	C₄×Q₈	—	212	2	no	—
1361	C₄×D₄	—	53	1	no	—
1362	C₄×D₄	—	53	1	no	—
1363	C₄×D₄	—	53	1	no	—
1364	C₄×D₄	—	53	1	no	—
1365	C₄×D₄	—	53	1	no	—
1366	C₄×D₄	—	53	1	no	—
1367	C₄×D₄	—	53	1	no	—
1368	C₄×D₄	—	53	1	no	—
1369	C₄×D₄	—	53	1	no	—
1370	C₄×D₄	—	53	1	no	—
1371	C₄×D₄	—	53	1	no	—
1372	C₄×D₄	—	53	1	no	—
1373	C₄×D₄	—	53	1	no	—
1374	C₄×D₄	—	53	1	no	—
1375	C₄×D₄	—	106	4	no	—
1376	C₄×D₄	—	106	4	no	—
1377	C₄×D₄	—	212	2	no	—
1378	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1379	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1380	#117	—	53	1	no	—
1381	#117	—	53	1	no	—
1382	#117	—	53	1	no	—
1383	#117	—	53	1	no	—
1384	#117	—	53	1	no	—
1385	#117	—	53	1	no	—
1386	#117	—	53	1	no	—
1387	#117	—	53	1	no	—
1388	#117	—	53	1	no	—
1389	#117	—	53	1	no	—
1390	#117	—	53	1	no	—
1391	#117	—	53	1	no	—
1392	#117	—	53	1	no	—
1393	#117	—	53	1	no	—
1394	#117	—	106	4	no	—
1395	#117	—	212	2	no	—
1396	#117	C₂×#6157	1	1	yes	characteristic, complemented
1397	#117	C₂×#6157	1	1	yes	characteristic, complemented
1398	C₂×C₄⋊C₄	—	53	1	no	—
1399	C₂×C₄⋊C₄	—	53	1	no	—
1400	C₂×C₄⋊C₄	—	53	1	no	—
1401	C₂×C₄⋊C₄	—	53	1	no	—
1402	C₂×C₄⋊C₄	—	53	1	no	—
1403	C₂×C₄⋊C₄	—	53	1	no	—
1404	C₂×C₄⋊C₄	—	53	1	no	—
1405	C₂×C₄⋊C₄	—	53	1	no	—
1406	C₂×C₄⋊C₄	—	53	1	no	—
1407	C₂×C₄⋊C₄	—	53	1	no	—
1408	C₂×C₄⋊C₄	—	53	1	no	—
1409	C₂×C₄⋊C₄	—	53	1	no	—
1410	C₂×C₄⋊C₄	—	53	1	no	—
1411	C₂×C₄⋊C₄	—	53	1	no	—
1412	C₂×C₄⋊C₄	—	53	1	no	—
1413	C₂×C₄⋊C₄	—	53	1	no	—
1414	C₂×C₄⋊C₄	—	53	1	no	—
1415	C₂×C₄⋊C₄	—	53	1	no	—
1416	C₂×C₄⋊C₄	—	53	1	no	—
1417	C₂×C₄⋊C₄	—	53	1	no	—
1418	C₂×C₄⋊C₄	—	53	1	no	—
1419	C₂×C₄⋊C₄	—	53	1	no	—
1420	C₂×C₄⋊C₄	—	53	1	no	—
1421	C₂×C₄⋊C₄	—	53	1	no	—
1422	C₂×C₄⋊C₄	—	53	1	no	—
1423	C₂×C₄⋊C₄	—	53	1	no	—
1424	C₂×C₄⋊C₄	—	106	4	no	—
1425	C₂×C₂²⋊C₄	—	53	1	no	—
1426	C₂×C₂²⋊C₄	—	53	1	no	—
1427	C₂×C₂²⋊C₄	—	53	1	no	—
1428	C₂×C₂²⋊C₄	—	53	1	no	—
1429	C₂×C₂²⋊C₄	—	53	1	no	—
1430	C₂×C₂²⋊C₄	—	53	1	no	—
1431	C₂×C₂²⋊C₄	—	53	1	no	—
1432	C₂×C₂²⋊C₄	—	53	1	no	—
1433	C₂×C₂²⋊C₄	—	53	1	no	—
1434	C₂×C₂²⋊C₄	—	53	1	no	—
1435	C₂×C₂²⋊C₄	—	53	1	no	—
1436	C₂×C₂²⋊C₄	—	53	1	no	—
1437	C₂×C₂²⋊C₄	—	53	1	no	—
1438	C₂×C₂²⋊C₄	—	53	1	no	—
1439	C₂×C₂²⋊C₄	—	53	1	no	—
1440	C₂×C₂²⋊C₄	—	53	1	no	—
1441	C₂×C₂²⋊C₄	—	53	1	no	—
1442	C₂×C₂²⋊C₄	—	53	1	no	—
1443	C₂×C₂²⋊C₄	—	53	1	no	—
1444	C₂×C₂²⋊C₄	—	53	1	no	—
1445	C₂×C₂²⋊C₄	—	53	1	no	—
1446	C₂×C₂²⋊C₄	—	53	1	no	—
1447	C₂×C₂²⋊C₄	—	53	1	no	—
1448	C₂×C₂²⋊C₄	—	53	1	no	—
1449	C₂×C₂²⋊C₄	—	53	1	no	—
1450	C₂×C₂²⋊C₄	—	53	1	no	—
1451	C₂×C₂²⋊C₄	—	53	1	no	—
1452	C₂×C₂²⋊C₄	—	53	1	no	—
1453	C₂×C₂²⋊C₄	—	53	1	no	—
1454	C₂×C₂²⋊C₄	—	53	1	no	—
1455	C₂×C₂²⋊C₄	—	53	1	no	—
1456	C₂×C₂²⋊C₄	—	53	1	no	—
1457	C₂×C₂²⋊C₄	—	53	1	no	—
1458	C₂×C₂²⋊C₄	—	53	1	no	—
1459	C₂×C₂²⋊C₄	—	53	1	no	—
1460	C₂×C₂²⋊C₄	—	53	1	no	—
1461	C₂×C₂²⋊C₄	—	53	1	no	—
1462	C₂×C₂²⋊C₄	—	53	1	no	—
1463	C₂×C₂²⋊C₄	—	53	1	no	—
1464	C₂×C₂²⋊C₄	—	53	1	no	—
1465	C₂×C₂²⋊C₄	—	53	1	no	—
1466	C₂×C₂²⋊C₄	—	53	1	no	—
1467	C₂×C₂²⋊C₄	—	53	1	no	—
1468	C₂×C₂²⋊C₄	—	53	1	no	—
1469	C₂×C₂²⋊C₄	—	53	1	no	—
1470	C₂×C₂²⋊C₄	—	53	1	no	—
1471	C₂×C₂²⋊C₄	—	53	1	no	—
1472	C₂×C₂²⋊C₄	—	53	1	no	—
1473	C₂×C₂²⋊C₄	—	53	1	no	—
1474	C₂×C₂²⋊C₄	—	53	1	no	—
1475	C₂×C₂²⋊C₄	—	53	1	no	—
1476	C₂×C₂²⋊C₄	—	53	1	no	—
1477	C₂×C₂²⋊C₄	—	106	4	no	—
1478	C₂×C₂²⋊C₄	—	106	4	no	—
1479	C₂×C₂²⋊C₄	—	212	2	no	—
1480	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1481	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1482	C₂×C₄²	—	53	1	no	—
1483	C₂×C₄²	—	53	1	no	—
1484	C₂×C₄²	—	53	1	no	—
1485	C₂×C₄²	—	53	1	no	—
1486	C₂×C₄²	—	53	1	no	—
1487	C₂×C₄²	—	53	1	no	—
1488	C₂×C₄²	—	53	1	no	—
1489	C₂×C₄²	—	53	1	no	—
1490	C₂×C₄²	—	53	1	no	—
1491	C₂×C₄²	—	53	1	no	—
1492	C₂×C₄²	—	53	1	no	—
1493	C₂×C₄²	—	53	1	no	—
1494	C₂×C₄²	—	53	1	no	—
1495	C₂×C₄²	—	53	1	no	—
1496	C₂×C₄²	—	53	1	no	—
1497	C₂×C₄²	—	53	1	no	—
1498	C₂×C₄²	—	53	1	no	—
1499	C₂×C₄²	—	53	1	no	—
1500	C₂×C₄²	—	53	1	no	—
1501	C₂×C₄²	—	53	1	no	—
1502	C₂×C₄²	—	53	1	no	—
1503	C₂×C₄²	—	53	1	no	—
1504	C₂×C₄²	—	53	1	no	—
1505	C₂×C₄²	—	53	1	no	—
1506	C₂×C₄²	—	53	1	no	—
1507	C₂×C₄²	—	53	1	no	—
1508	C₂×C₄²	—	53	1	no	—
1509	C₂×C₄²	—	53	1	no	—
1510	C₂×C₄²	—	53	1	no	—
1511	C₂×C₄²	—	212	2	no	—
1512	C₂×C₄²	—	212	2	no	—
1513	#95	—	53	1	no	—
1514	#95	—	53	1	no	—
1515	#95	—	53	1	no	—
1516	#95	—	53	1	no	—
1517	#95	—	53	1	no	—
1518	#95	—	53	1	no	—
1519	#95	—	53	1	no	—
1520	#95	—	53	1	no	—
1521	#95	—	53	1	no	—
1522	#95	—	53	1	no	—
1523	#95	—	53	1	no	—
1524	#95	—	53	1	no	—
1525	#95	—	53	1	no	—
1526	#95	—	53	1	no	—
1527	#95	—	53	1	no	—
1528	#95	—	53	1	no	—
1529	#95	—	53	1	no	—
1530	#95	—	53	1	no	—
1531	#95	—	53	1	no	—
1532	#95	—	53	1	no	—
1533	#95	—	53	1	no	—
1534	#95	—	53	1	no	—
1535	#95	—	53	1	no	—
1536	#95	—	53	1	no	—
1537	#95	—	53	1	no	—
1538	#95	—	53	1	no	—
1539	#95	—	53	1	no	—
1540	#95	—	53	1	no	—
1541	#95	—	53	1	no	—
1542	#95	—	53	1	no	—
1543	#95	—	53	1	no	—
1544	#95	—	53	1	no	—
1545	#95	—	53	1	no	—
1546	#95	—	53	1	no	—
1547	#95	—	53	1	no	—
1548	#95	—	53	1	no	—
1549	#95	—	53	1	no	—
1550	#95	—	53	1	no	—
1551	#95	—	53	1	no	—
1552	#95	—	53	1	no	—
1553	#95	—	53	1	no	—
1554	#95	—	53	1	no	—
1555	#95	—	53	1	no	—
1556	#95	—	53	1	no	—
1557	C₂⁴	—	53	1	no	—
1558	C₂⁴	—	53	1	no	—
1559	C₂⁴	—	53	1	no	—
1560	C₂⁴	—	53	1	no	—
1561	C₂⁴	—	53	1	no	—
1562	C₂⁴	—	53	1	no	—
1563	C₂⁴	—	53	1	no	—
1564	C₂⁴	—	106	2	no	—
1565	C₂⁴	—	106	2	no	—
1566	C₂⁴	—	212	1	no	—
1567	C₂⁴	—	212	1	no	—
1568	C₂⁴	—	212	1	no	—
1569	C₂⁴	—	212	1	no	—
1570	C₂⁴	C₂²×#6157	1	1	yes	characteristic
1571	C₂×Q₈	—	53	1	no	—
1572	C₂×Q₈	—	53	1	no	—
1573	C₂×Q₈	—	53	1	no	—
1574	C₂×Q₈	—	212	1	no	—
1575	C₂×Q₈	—	212	1	no	—
1576	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1577	C₂×D₄	—	53	1	no	—
1578	C₂×D₄	—	53	1	no	—
1579	C₂×D₄	—	53	1	no	—
1580	C₂×D₄	—	53	1	no	—
1581	C₂×D₄	—	53	1	no	—
1582	C₂×D₄	—	53	1	no	—
1583	C₂×D₄	—	53	1	no	—
1584	C₂×D₄	—	53	1	no	—
1585	C₂×D₄	—	53	1	no	—
1586	C₂×D₄	—	106	2	no	—
1587	C₂×D₄	—	106	2	no	—
1588	C₂×D₄	—	212	1	no	—
1589	C₂×D₄	—	212	1	no	—
1590	C₂×D₄	—	212	1	no	—
1591	C₂×D₄	—	212	1	no	—
1592	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1593	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1594	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1595	C₂²×C₄	—	53	1	no	—
1596	C₂²×C₄	—	53	1	no	—
1597	C₂²×C₄	—	53	1	no	—
1598	C₂²×C₄	—	53	1	no	—
1599	C₂²×C₄	—	53	1	no	—
1600	C₂²×C₄	—	53	1	no	—
1601	C₂²×C₄	—	53	4	no	—
1602	C₂²×C₄	—	53	1	no	—
1603	C₂²×C₄	—	53	1	no	—
1604	C₂²×C₄	—	53	1	no	—
1605	C₂²×C₄	—	53	1	no	—
1606	C₂²×C₄	—	53	1	no	—
1607	C₂²×C₄	—	53	1	no	—
1608	C₂²×C₄	—	53	1	no	—
1609	C₂²×C₄	—	53	1	no	—
1610	C₂²×C₄	—	53	1	no	—
1611	C₂²×C₄	—	53	1	no	—
1612	C₂²×C₄	—	53	1	no	—
1613	C₂²×C₄	—	53	1	no	—
1614	C₂²×C₄	—	53	1	no	—
1615	C₂²×C₄	—	53	1	no	—
1616	C₂²×C₄	—	53	1	no	—
1617	C₂²×C₄	—	53	1	no	—
1618	C₂²×C₄	—	53	1	no	—
1619	C₂²×C₄	—	53	1	no	—
1620	C₂²×C₄	—	53	1	no	—
1621	C₂²×C₄	—	53	1	no	—
1622	C₂²×C₄	—	53	1	no	—
1623	C₂²×C₄	—	53	1	no	—
1624	C₂²×C₄	—	53	1	no	—
1625	C₂²×C₄	—	53	1	no	—
1626	C₂²×C₄	—	53	1	no	—
1627	C₂²×C₄	—	53	1	no	—
1628	C₂²×C₄	—	53	1	no	—
1629	C₂²×C₄	—	53	1	no	—
1630	C₂²×C₄	—	53	1	no	—
1631	C₂²×C₄	—	53	1	no	—
1632	C₂²×C₄	—	53	1	no	—
1633	C₂²×C₄	—	53	1	no	—
1634	C₂²×C₄	—	53	1	no	—
1635	C₂²×C₄	—	53	1	no	—
1636	C₂²×C₄	—	53	1	no	—
1637	C₂²×C₄	—	53	1	no	—
1638	C₂²×C₄	—	106	2	no	—
1639	C₂²×C₄	—	106	2	no	—
1640	C₂²×C₄	—	106	2	no	—
1641	C₂²×C₄	—	106	2	no	—
1642	C₂²×C₄	—	106	2	no	—
1643	C₂²×C₄	—	106	2	no	—
1644	C₂²×C₄	—	106	2	no	—
1645	C₂²×C₄	—	106	2	no	—
1646	C₂²×C₄	—	106	2	no	—
1647	C₂²×C₄	—	106	2	no	—
1648	C₂²×C₄	—	106	2	no	—
1649	C₂²×C₄	—	212	1	no	—
1650	C₂²×C₄	—	212	1	no	—
1651	C₂²×C₄	—	212	1	no	—
1652	C₂²×C₄	—	212	1	no	—
1653	C₂²×C₄	—	212	1	no	—
1654	C₂²×C₄	—	212	1	no	—
1655	C₂²×C₄	—	212	1	no	—
1656	C₂²×C₄	—	212	1	no	—
1657	C₂²×C₄	—	212	1	no	—
1658	C₂²×C₄	—	212	1	no	—
1659	C₂²×C₄	—	212	1	no	—
1660	C₂²×C₄	—	212	1	no	—
1661	C₂²×C₄	—	212	1	no	—
1662	C₂²×C₄	—	212	1	no	—
1663	C₂²×C₄	—	212	1	no	—
1664	C₂²×C₄	—	212	1	no	—
1665	C₂²×C₄	—	212	1	no	—
1666	C₂²×C₄	—	212	1	no	—
1667	C₂²×C₄	—	212	1	no	—
1668	C₂²×C₄	—	212	1	no	—
1669	C₂²×C₄	—	212	1	no	—
1670	C₂²×C₄	—	212	1	no	—
1671	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1672	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1673	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1674	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1675	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1676	C₄⋊C₄	—	53	1	no	—
1677	C₄⋊C₄	—	53	1	no	—
1678	C₄⋊C₄	—	53	1	no	—
1679	C₄⋊C₄	—	53	1	no	—
1680	C₄⋊C₄	—	53	1	no	—
1681	C₄⋊C₄	—	53	1	no	—
1682	C₄⋊C₄	—	53	1	no	—
1683	C₄⋊C₄	—	53	1	no	—
1684	C₄⋊C₄	—	53	1	no	—
1685	C₄⋊C₄	—	53	1	no	—
1686	C₄⋊C₄	—	53	1	no	—
1687	C₄⋊C₄	—	53	1	no	—
1688	C₄⋊C₄	—	53	1	no	—
1689	C₄⋊C₄	—	53	1	no	—
1690	C₄⋊C₄	—	53	1	no	—
1691	C₄⋊C₄	—	53	1	no	—
1692	C₄⋊C₄	—	53	1	no	—
1693	C₄⋊C₄	—	53	1	no	—
1694	C₄⋊C₄	—	53	1	no	—
1695	C₄⋊C₄	—	53	1	no	—
1696	C₄⋊C₄	—	53	1	no	—
1697	C₄⋊C₄	—	53	1	no	—
1698	C₄⋊C₄	—	53	1	no	—
1699	C₄⋊C₄	—	53	1	no	—
1700	C₄⋊C₄	—	106	2	no	—
1701	C₄⋊C₄	—	106	2	no	—
1702	C₄⋊C₄	—	106	2	no	—
1703	C₄⋊C₄	—	106	2	no	—
1704	C₄⋊C₄	—	106	2	no	—
1705	C₄⋊C₄	—	106	2	no	—
1706	C₄⋊C₄	—	106	2	no	—
1707	C₄⋊C₄	—	106	2	no	—
1708	C₄⋊C₄	—	106	2	no	—
1709	C₄⋊C₄	—	106	2	no	—
1710	C₄⋊C₄	—	212	1	no	—
1711	C₄⋊C₄	—	212	1	no	—
1712	C₄⋊C₄	—	212	1	no	—
1713	C₄⋊C₄	—	212	1	no	—
1714	C₄⋊C₄	—	212	1	no	—
1715	C₄⋊C₄	—	212	1	no	—
1716	C₄⋊C₄	—	212	1	no	—
1717	C₄⋊C₄	—	212	1	no	—
1718	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1719	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1720	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1721	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1722	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1723	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1724	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1725	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1726	C₂²⋊C₄	—	53	4	no	—
1727	C₂²⋊C₄	—	53	1	no	—
1728	C₂²⋊C₄	—	53	1	no	—
1729	C₂²⋊C₄	—	53	1	no	—
1730	C₂²⋊C₄	—	53	1	no	—
1731	C₂²⋊C₄	—	53	1	no	—
1732	C₂²⋊C₄	—	53	1	no	—
1733	C₂²⋊C₄	—	53	1	no	—
1734	C₂²⋊C₄	—	53	1	no	—
1735	C₂²⋊C₄	—	53	1	no	—
1736	C₂²⋊C₄	—	53	1	no	—
1737	C₂²⋊C₄	—	53	1	no	—
1738	C₂²⋊C₄	—	53	1	no	—
1739	C₂²⋊C₄	—	53	1	no	—
1740	C₂²⋊C₄	—	53	1	no	—
1741	C₂²⋊C₄	—	53	1	no	—
1742	C₂²⋊C₄	—	53	1	no	—
1743	C₂²⋊C₄	—	53	1	no	—
1744	C₂²⋊C₄	—	53	1	no	—
1745	C₂²⋊C₄	—	53	1	no	—
1746	C₂²⋊C₄	—	53	1	no	—
1747	C₂²⋊C₄	—	53	1	no	—
1748	C₂²⋊C₄	—	53	1	no	—
1749	C₂²⋊C₄	—	53	1	no	—
1750	C₂²⋊C₄	—	53	1	no	—
1751	C₂²⋊C₄	—	53	1	no	—
1752	C₂²⋊C₄	—	53	1	no	—
1753	C₂²⋊C₄	—	53	1	no	—
1754	C₂²⋊C₄	—	53	1	no	—
1755	C₂²⋊C₄	—	53	1	no	—
1756	C₂²⋊C₄	—	53	1	no	—
1757	C₂²⋊C₄	—	53	1	no	—
1758	C₂²⋊C₄	—	53	1	no	—
1759	C₂²⋊C₄	—	53	1	no	—
1760	C₂²⋊C₄	—	53	1	no	—
1761	C₂²⋊C₄	—	53	1	no	—
1762	C₂²⋊C₄	—	53	1	no	—
1763	C₂²⋊C₄	—	53	1	no	—
1764	C₂²⋊C₄	—	53	1	no	—
1765	C₂²⋊C₄	—	53	1	no	—
1766	C₂²⋊C₄	—	53	1	no	—
1767	C₂²⋊C₄	—	53	1	no	—
1768	C₂²⋊C₄	—	53	1	no	—
1769	C₂²⋊C₄	—	106	2	no	—
1770	C₂²⋊C₄	—	106	2	no	—
1771	C₂²⋊C₄	—	106	2	no	—
1772	C₂²⋊C₄	—	106	2	no	—
1773	C₂²⋊C₄	—	106	2	no	—
1774	C₂²⋊C₄	—	106	2	no	—
1775	C₂²⋊C₄	—	106	2	no	—
1776	C₂²⋊C₄	—	106	2	no	—
1777	C₂²⋊C₄	—	106	2	no	—
1778	C₂²⋊C₄	—	106	2	no	—
1779	C₂²⋊C₄	—	106	2	no	—
1780	C₂²⋊C₄	—	106	2	no	—
1781	C₂²⋊C₄	—	106	2	no	—
1782	C₂²⋊C₄	—	212	1	no	—
1783	C₂²⋊C₄	—	212	1	no	—
1784	C₂²⋊C₄	—	212	1	no	—
1785	C₂²⋊C₄	—	212	1	no	—
1786	C₂²⋊C₄	—	212	1	no	—
1787	C₂²⋊C₄	—	212	1	no	—
1788	C₂²⋊C₄	—	212	1	no	—
1789	C₂²⋊C₄	—	212	1	no	—
1790	C₂²⋊C₄	—	212	1	no	—
1791	C₂²⋊C₄	—	212	1	no	—
1792	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1793	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1794	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1795	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1796	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1797	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1798	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1799	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1800	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1801	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1802	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1803	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1804	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1805	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1806	C₄²	—	53	1	no	—
1807	C₄²	—	53	1	no	—
1808	C₄²	—	53	1	no	—
1809	C₄²	—	53	1	no	—
1810	C₄²	—	53	1	no	—
1811	C₄²	—	53	1	no	—
1812	C₄²	—	53	1	no	—
1813	C₄²	—	53	1	no	—
1814	C₄²	—	53	1	no	—
1815	C₄²	—	106	2	no	—
1816	C₄²	—	106	2	no	—
1817	C₄²	—	106	2	no	—
1818	C₄²	—	106	2	no	—
1819	C₄²	—	106	2	no	—
1820	C₄²	—	106	2	no	—
1821	C₄²	—	106	2	no	—
1822	C₄²	—	212	1	no	—
1823	C₄²	—	212	1	no	—
1824	C₄²	—	212	1	no	—
1825	C₄²	—	212	1	no	—
1826	C₄²	—	212	1	no	—
1827	C₄²	—	212	1	no	—
1828	C₄²	—	212	1	no	—
1829	C₄²	—	212	1	no	—
1830	C₄²	—	212	1	no	—
1831	C₄²	—	212	1	no	—
1832	C₄²	—	212	1	no	—
1833	C₄²	—	212	1	no	—
1834	C₄²	—	212	1	no	—
1835	C₄²	—	212	1	no	—
1836	C₄²	—	212	1	no	—
1837	C₄²	—	212	1	no	—
1838	C₄²	—	212	1	no	—
1839	C₄²	—	212	1	no	—
1840	C₄²	—	212	1	no	—
1841	C₄²	C₂²×#6157	1	1	yes	characteristic
1842	C₄²	C₂²×#6157	1	1	yes	characteristic
1843	C₄²	C₂²×#6157	1	1	yes	characteristic
1844	C₂³	—	2	2	no	—
1845	C₂³	—	4	1	no	—
1846	C₂³	—	4	1	no	—
1847	C₂³	—	53	1	no	—
1848	C₂³	—	53	2	no	—
1849	C₂³	—	53	2	no	—
1850	C₂³	—	53	1	no	—
1851	C₂³	—	53	1	no	—
1852	C₂³	—	53	1	no	—
1853	C₂³	—	53	1	no	—
1854	C₂³	—	106	1	no	—
1855	C₂³	—	106	1	no	—
1856	C₂³	—	106	1	no	—
1857	C₂³	—	106	1	no	—
1858	C₂³	—	106	2	no	—
1859	C₂³	—	106	2	no	—
1860	C₂³	—	106	1	no	—
1861	C₂³	—	106	1	no	—
1862	C₂³	—	106	1	no	—
1863	C₂³	—	106	1	no	—
1864	C₂³	—	106	1	no	—
1865	C₂³	—	106	1	no	—
1866	C₂³	—	106	1	no	—
1867	C₂³	—	106	1	no	—
1868	C₂³	—	106	1	no	—
1869	C₂³	—	106	1	no	—
1870	C₂³	—	106	1	no	—
1871	C₂³	—	106	1	no	—
1872	C₂³	—	106	1	no	—
1873	C₂³	—	106	1	no	—
1874	C₂³	—	106	1	no	—
1875	C₂³	—	106	1	no	—
1876	C₂³	—	106	1	no	—
1877	C₂³	—	106	1	no	—
1878	C₂³	—	106	2	no	—
1879	C₂³	—	424	2	no	—
1880	C₂³	—	424	2	no	—
1881	C₂³	—	424	2	no	—
1882	C₂³	—	424	2	no	—
1883	C₂³	—	212	1	no	—
1884	C₂³	—	212	1	no	—
1885	C₂³	—	212	1	no	—
1886	C₂³	—	212	1	no	—
1887	C₂³	—	212	1	no	—
1888	C₂³	—	212	1	no	—
1889	C₂³	C₂³×#6157	1	1	yes	characteristic
1890	C₂³	C₂³×#6157	1	1	yes	characteristic
1891	C₂³	C₂³×#6157	1	1	yes	characteristic
1892	C₂³	C₂³×#6157	1	1	yes	characteristic
1893	Q₈	—	4	1	no	—
1894	Q₈	—	212	1	no	—
1895	Q₈	—	212	1	no	—
1896	Q₈	—	212	1	no	—
1897	D₄	—	2	2	no	—
1898	D₄	—	4	1	no	—
1899	D₄	—	4	1	no	—
1900	D₄	—	106	2	no	—
1901	D₄	—	106	2	no	—
1902	D₄	—	106	2	no	—
1903	D₄	—	212	1	no	—
1904	D₄	—	212	1	no	—
1905	D₄	—	212	1	no	—
1906	D₄	—	212	1	no	—
1907	D₄	—	212	1	no	—
1908	D₄	—	212	1	no	—
1909	C₂×C₄	—	2	2	no	—
1910	C₂×C₄	—	4	1	no	—
1911	C₂×C₄	—	4	1	no	—
1912	C₂×C₄	—	4	1	no	—
1913	C₂×C₄	—	4	1	no	—
1914	C₂×C₄	—	53	2	no	—
1915	C₂×C₄	—	53	2	no	—
1916	C₂×C₄	—	53	2	no	—
1917	C₂×C₄	—	53	2	no	—
1918	C₂×C₄	—	53	2	no	—
1919	C₂×C₄	—	53	1	no	—
1920	C₂×C₄	—	53	1	no	—
1921	C₂×C₄	—	53	1	no	—
1922	C₂×C₄	—	53	1	no	—
1923	C₂×C₄	—	53	1	no	—
1924	C₂×C₄	—	53	1	no	—
1925	C₂×C₄	—	53	1	no	—
1926	C₂×C₄	—	53	1	no	—
1927	C₂×C₄	—	53	1	no	—
1928	C₂×C₄	—	53	1	no	—
1929	C₂×C₄	—	53	1	no	—
1930	C₂×C₄	—	106	1	no	—
1931	C₂×C₄	—	106	1	no	—
1932	C₂×C₄	—	106	1	no	—
1933	C₂×C₄	—	106	1	no	—
1934	C₂×C₄	—	106	1	no	—
1935	C₂×C₄	—	106	1	no	—
1936	C₂×C₄	—	106	1	no	—
1937	C₂×C₄	—	106	1	no	—
1938	C₂×C₄	—	106	1	no	—
1939	C₂×C₄	—	106	1	no	—
1940	C₂×C₄	—	106	1	no	—
1941	C₂×C₄	—	106	1	no	—
1942	C₂×C₄	—	106	1	no	—
1943	C₂×C₄	—	106	1	no	—
1944	C₂×C₄	—	106	1	no	—
1945	C₂×C₄	—	106	1	no	—
1946	C₂×C₄	—	106	1	no	—
1947	C₂×C₄	—	106	1	no	—
1948	C₂×C₄	—	106	1	no	—
1949	C₂×C₄	—	106	1	no	—
1950	C₂×C₄	—	106	1	no	—
1951	C₂×C₄	—	106	1	no	—
1952	C₂×C₄	—	106	2	no	—
1953	C₂×C₄	—	106	2	no	—
1954	C₂×C₄	—	106	1	no	—
1955	C₂×C₄	—	106	1	no	—
1956	C₂×C₄	—	106	1	no	—
1957	C₂×C₄	—	106	1	no	—
1958	C₂×C₄	—	106	1	no	—
1959	C₂×C₄	—	106	1	no	—
1960	C₂×C₄	—	106	1	no	—
1961	C₂×C₄	—	106	1	no	—
1962	C₂×C₄	—	106	1	no	—
1963	C₂×C₄	—	106	1	no	—
1964	C₂×C₄	—	106	2	no	—
1965	C₂×C₄	—	106	1	no	—
1966	C₂×C₄	—	106	1	no	—
1967	C₂×C₄	—	106	1	no	—
1968	C₂×C₄	—	106	1	no	—
1969	C₂×C₄	—	106	1	no	—
1970	C₂×C₄	—	106	1	no	—
1971	C₂×C₄	—	106	1	no	—
1972	C₂×C₄	—	106	1	no	—
1973	C₂×C₄	—	106	1	no	—
1974	C₂×C₄	—	106	1	no	—
1975	C₂×C₄	—	106	1	no	—
1976	C₂×C₄	—	106	1	no	—
1977	C₂×C₄	—	106	1	no	—
1978	C₂×C₄	—	106	1	no	—
1979	C₂×C₄	—	106	1	no	—
1980	C₂×C₄	—	106	1	no	—
1981	C₂×C₄	—	106	1	no	—
1982	C₂×C₄	—	106	1	no	—
1983	C₂×C₄	—	106	1	no	—
1984	C₂×C₄	—	106	1	no	—
1985	C₂×C₄	—	106	1	no	—
1986	C₂×C₄	—	106	1	no	—
1987	C₂×C₄	—	106	1	no	—
1988	C₂×C₄	—	106	1	no	—
1989	C₂×C₄	—	106	1	no	—
1990	C₂×C₄	—	106	1	no	—
1991	C₂×C₄	—	106	1	no	—
1992	C₂×C₄	—	106	1	no	—
1993	C₂×C₄	—	106	1	no	—
1994	C₂×C₄	—	106	1	no	—
1995	C₂×C₄	—	106	1	no	—
1996	C₂×C₄	—	106	1	no	—
1997	C₂×C₄	—	106	1	no	—
1998	C₂×C₄	—	424	2	no	—
1999	C₂×C₄	—	424	2	no	—
2000	C₂×C₄	—	424	2	no	—
2001	C₂×C₄	—	424	2	no	—
2002	C₂×C₄	—	212	1	no	—
2003	C₂×C₄	—	212	1	no	—
2004	C₂×C₄	—	212	1	no	—
2005	C₂×C₄	—	212	1	no	—
2006	C₂×C₄	—	212	1	no	—
2007	C₂×C₄	—	212	1	no	—
2008	C₂×C₄	—	212	1	no	—
2009	C₂×C₄	—	212	1	no	—
2010	C₂×C₄	—	212	1	no	—
2011	C₂×C₄	—	212	1	no	—
2012	C₂×C₄	—	212	1	no	—
2013	C₂×C₄	—	212	1	no	—
2014	C₂×C₄	—	212	4	no	—
2015	C₂×C₄	—	212	4	no	—
2016	C₂×C₄	—	212	4	no	—
2017	C₂×C₄	—	212	4	no	—
2018	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2019	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2020	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2021	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2022	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2023	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2024	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2025	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2026	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2027	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2028	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2029	C₂²	—	2	1	no	—
2030	C₂²	—	2	1	no	—
2031	C₂²	—	2	1	no	—
2032	C₂²	—	2	1	no	—
2033	C₂²	—	2	1	no	—
2034	C₂²	—	2	1	no	—
2035	C₂²	—	2	1	no	—
2036	C₂²	—	2	1	no	—
2037	C₂²	—	2	1	no	—
2038	C₂²	—	2	1	no	—
2039	C₂²	—	2	1	no	—
2040	C₂²	—	8	2	no	—
2041	C₂²	—	53	1	no	—
2042	C₂²	—	53	1	no	—
2043	C₂²	—	53	1	no	—
2044	C₂²	—	53	1	no	—
2045	C₂²	—	53	1	no	—
2046	C₂²	—	53	1	no	—
2047	C₂²	—	53	2	no	—
2048	C₂²	—	106	2	no	—
2049	C₂²	—	106	2	no	—
2050	C₂²	—	106	2	no	—
2051	C₂²	—	106	2	no	—
2052	C₂²	—	106	1	no	—
2053	C₂²	—	106	1	no	—
2054	C₂²	—	106	1	no	—
2055	C₂²	—	106	1	no	—
2056	C₂²	—	106	1	no	—
2057	C₂²	—	106	1	no	—
2058	C₂²	—	106	1	no	—
2059	C₂²	—	106	1	no	—
2060	C₂²	—	106	1	no	—
2061	C₂²	—	106	1	no	—
2062	C₂²	—	106	1	no	—
2063	C₂²	—	424	2	no	—
2064	C₂²	—	424	2	no	—
2065	C₂²	—	424	2	no	—
2066	C₂²	—	212	1	no	—
2067	C₂²	—	212	1	no	—
2068	C₂²	—	212	1	no	—
2069	C₂²	—	212	1	no	—
2070	C₂²	—	212	1	no	—
2071	C₂²	—	212	1	no	—
2072	C₂²	—	212	1	no	—
2073	C₂²	—	212	1	no	—
2074	C₂²	—	212	1	no	—
2075	C₂²	—	212	1	no	—
2076	C₂²	—	212	1	no	—
2077	C₂²	—	212	1	no	—
2078	C₂²	#41×#6157	1	2	yes	—
2079	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2080	C₄	—	2	1	no	—
2081	C₄	—	2	1	no	—
2082	C₄	—	2	1	no	—
2083	C₄	—	2	1	no	—
2084	C₄	—	2	1	no	—
2085	C₄	—	2	1	no	—
2086	C₄	—	2	1	no	—
2087	C₄	—	2	1	no	—
2088	C₄	—	2	1	no	—
2089	C₄	—	2	1	no	—
2090	C₄	—	2	1	no	—
2091	C₄	—	106	2	no	—
2092	C₄	—	106	2	no	—
2093	C₄	—	106	2	no	—
2094	C₄	—	106	2	no	—
2095	C₄	—	106	2	no	—
2096	C₄	—	106	1	no	—
2097	C₄	—	106	1	no	—
2098	C₄	—	106	1	no	—
2099	C₄	—	106	1	no	—
2100	C₄	—	106	1	no	—
2101	C₄	—	106	1	no	—
2102	C₄	—	106	1	no	—
2103	C₄	—	106	1	no	—
2104	C₄	—	106	1	no	—
2105	C₄	—	106	1	no	—
2106	C₄	—	106	1	no	—
2107	C₄	—	212	1	no	—
2108	C₄	—	212	1	no	—
2109	C₄	—	212	1	no	—
2110	C₄	—	212	1	no	—
2111	C₄	—	212	1	no	—
2112	C₄	—	212	1	no	—
2113	C₄	—	212	1	no	—
2114	C₄	—	212	1	no	—
2115	C₄	—	212	1	no	—
2116	C₄	—	212	1	no	—
2117	C₄	—	212	1	no	—
2118	C₂	—	2	2	no	—
2119	C₂	—	4	1	no	—
2120	C₂	—	4	1	no	—
2121	C₂	—	4	1	no	—
2122	C₂	—	53	1	no	—
2123	C₂	—	53	1	no	—
2124	C₂	—	53	1	no	—
2125	C₂	—	53	1	no	—
2126	C₂	—	106	2	no	—
2127	C₂	—	212	1	no	—
2128	C₂	—	212	1	no	—
2129	C₂	—	212	1	no	—
2130	C₂	C₂×#41×#6157	1	1	yes	characteristic
2131	C₂	#20291695	1	1	yes	characteristic
2132	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×#551	C₄
prime radical	#120×D₅₃	C₂²
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#551	#6157
hypocenter	C₅₃	#34315
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #551

Complements

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

N	H ≅ G/N	type
1. #20291253	C₂	semidirect
2. #20291253	C₂	semidirect
3. #20291252	C₂	semidirect
4. #20291252	C₂	semidirect
5. #20291247	C₂	semidirect
6. #20291246	C₂	semidirect
7. #20291241	C₂	semidirect
8. #20291238	C₂	semidirect
10. #20291236	C₂	semidirect
11. #20291232	C₂	semidirect
12. #20291226	C₂	semidirect
13. #20291222	C₂	semidirect
14. #20291221	C₂	semidirect
15. #20291221	C₂	semidirect
16. #20291216	C₂	semidirect
17. #20291214	C₂	semidirect
18. #20291213	C₂	semidirect
19. #20291211	C₂	semidirect
20. #20291201	C₂	semidirect
22. #126×#6157	C₂	semidirect
23. C₂²⋊Q₈×#6157	C₂	semidirect
24. #123×#6157	C₂	semidirect
25. #20291177	C₂	semidirect
26. #20291169	C₂	semidirect
27. C₂×#16811573	C₂	semidirect
28. #20291152	C₂	semidirect
29. #20291151	C₂	semidirect
30. C₄×D₄×#6157	C₂	semidirect
32. C₂×Q₈×#6157	C₂²	semidirect
43. C₂²×C₄×#6157	C₂²	semidirect
44. (C₂×#6157)⋊Q₈	C₂²	semidirect
45. (C₂×#6157)⋊Q₈	C₂²	semidirect
46. (C₂×#6157)⋊Q₈	C₂²	semidirect
50. #16811574	C₂²	semidirect
51. #16811574	C₂²	semidirect
52. #16811574	C₂²	semidirect
53. #16811574	C₂²	semidirect
76. #16811573	C₂²	semidirect
77. #16811573	C₂²	semidirect
78. #16811573	C₂²	semidirect
79. #16811573	C₂²	semidirect
80. #16811573	C₂²	semidirect
81. #16811573	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
90. #16811572	C₂²	semidirect
91. #16811572	C₂²	semidirect
92. #16811572	C₂²	semidirect
93. #16811572	C₂²	semidirect
94. #16811572	C₂²	semidirect
95. #16811572	C₂²	semidirect
96. #16811572	C₂²	semidirect
97. #16811572	C₂²	semidirect
111. #16811570	C₂²	semidirect
112. #16811570	C₂²	semidirect
113. #16811570	C₂²	semidirect
114. #16811568	C₂²	semidirect
115. #16811568	C₂²	semidirect
116. #16811567	C₂²	semidirect
119. #16811566	C₂²	semidirect
123. C₄⋊C₄×#6157	C₂²	semidirect
124. C₄⋊C₄×#6157	C₂²	semidirect
125. C₄⋊C₄×#6157	C₂²	semidirect
126. C₄⋊C₄×#6157	C₂²	semidirect
127. C₄⋊C₄×#6157	C₂²	semidirect
128. C₄⋊C₄×#6157	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
134. C₄⋊C₄×#6157	C₂²	semidirect
135. C₄×C₄⋊#6157	C₂²	semidirect
136. C₄×C₄⋊#6157	C₂²	semidirect
137. C₄×C₄⋊#6157	C₂²	semidirect
138. C₄×C₄⋊#6157	C₂²	semidirect
139. C₄×C₄⋊#6157	C₂²	semidirect
140. C₄×C₄⋊#6157	C₂²	semidirect
156. C₂²⋊C₄×#6157	C₂²	semidirect
157. C₂²⋊C₄×#6157	C₂²	semidirect
158. C₂²⋊C₄×#6157	C₂²	semidirect
165. C₄×C₂²⋊#6157	C₂²	semidirect
166. C₄×C₂²⋊#6157	C₂²	semidirect
167. #16811559	C₂²	semidirect
168. #16811559	C₂²	semidirect
171. C₄²×#6157	C₂²	semidirect
172. #16811304	C₄	semidirect
173. #16811303	C₄	semidirect
174. #16811302	C₄	semidirect
175. #16811302	C₄	semidirect
176. #16811301	C₄	semidirect
177. #16811300	C₄	semidirect
178. #16811300	C₄	semidirect
179. #16811299	C₄	semidirect
180. #16811299	C₄	semidirect
181. #16811298	C₄	semidirect
182. #16811298	C₄	semidirect
183. #16811297	C₄	semidirect
184. #16811297	C₄	semidirect
185. #16811296	C₄	semidirect
186. #16811296	C₄	semidirect
202. C₅₃×#551	C₄	semidirect
345. #13133212	C₂×C₄	semidirect
346. #13133212	C₂×C₄	semidirect
347. #13133212	C₂×C₄	semidirect
348. #13133212	C₂×C₄	semidirect
349. #13133212	C₂×C₄	semidirect
350. #13133212	C₂×C₄	semidirect
351. #13133211	C₂×C₄	semidirect
352. #13133211	C₂×C₄	semidirect
353. #13133210	C₂×C₄	semidirect
354. #13133210	C₂×C₄	semidirect
355. #13133210	C₂×C₄	semidirect
356. #13133210	C₂×C₄	semidirect
357. #13133210	C₂×C₄	semidirect
358. #13133210	C₂×C₄	semidirect
359. #13133206	C₂×C₄	semidirect
360. #13133205	C₂×C₄	semidirect
361. #13133204	C₂×C₄	semidirect
362. #13133203	C₂×C₄	semidirect
363. #13133203	C₂×C₄	semidirect
364. #13133203	C₂×C₄	semidirect
365. #13133203	C₂×C₄	semidirect
366. #13133202	C₂×C₄	semidirect
367. #13133202	C₂×C₄	semidirect
368. #13133202	C₂×C₄	semidirect
369. #13133202	C₂×C₄	semidirect
370. #13133202	C₂×C₄	semidirect
371. #13133202	C₂×C₄	semidirect
372. #13133201	C₂×C₄	semidirect
373. #13133201	C₂×C₄	semidirect
374. #13133201	C₂×C₄	semidirect
375. #13133200	C₂×C₄	semidirect
376. #13133200	C₂×C₄	semidirect
377. #13133200	C₂×C₄	semidirect
378. #13133199	C₂×C₄	semidirect
379. #13133199	C₂×C₄	semidirect
380. #13133199	C₂×C₄	semidirect
381. #13133199	C₂×C₄	semidirect
382. #13133199	C₂×C₄	semidirect
383. #13133199	C₂×C₄	semidirect
384. #13133198	C₂×C₄	semidirect
385. #13133198	C₂×C₄	semidirect
386. #13133198	C₂×C₄	semidirect
387. #13133197	C₂×C₄	semidirect
388. #13133197	C₂×C₄	semidirect
389. #13133196	C₂×C₄	semidirect
390. #13133196	C₂×C₄	semidirect
391. #13133195	C₂×C₄	semidirect
392. #13133195	C₂×C₄	semidirect
393. #13133195	C₂×C₄	semidirect
394. #13133195	C₂×C₄	semidirect
395. #13133194	C₂×C₄	semidirect
396. #13133194	C₂×C₄	semidirect
397. #13133194	C₂×C₄	semidirect
398. #13133194	C₂×C₄	semidirect
399. #13133193	C₂×C₄	semidirect
400. #13133193	C₂×C₄	semidirect
408. C₄×D₂₁₂	C₂×C₄	semidirect
409. C₄×D₂₁₂	C₂×C₄	semidirect
410. D₄×Dic₅₃	C₂×C₄	semidirect
411. D₄×Dic₅₃	C₂×C₄	semidirect
412. #13133179	C₂×C₄	semidirect
413. #13133179	C₂×C₄	semidirect
414. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
415. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
416. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
417. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
418. #13133177	C₂×C₄	semidirect
419. #13133177	C₂×C₄	semidirect
420. #13133177	C₂×C₄	semidirect
421. #13133177	C₂×C₄	semidirect
422. #13133176	C₂×C₄	semidirect
423. #13133176	C₂×C₄	semidirect
424. #13133175	C₂×C₄	semidirect
425. #13133175	C₂×C₄	semidirect
426. #13133175	C₂×C₄	semidirect
427. #13133175	C₂×C₄	semidirect
428. #13133174	C₂×C₄	semidirect
429. #13133174	C₂×C₄	semidirect
430. #13133174	C₂×C₄	semidirect
431. #13133174	C₂×C₄	semidirect
432. #13133173	C₂×C₄	semidirect
433. #13133173	C₂×C₄	semidirect
434. #13133173	C₂×C₄	semidirect
435. #13133173	C₂×C₄	semidirect
444. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
445. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
446. C₂×#11719921	C₂×C₄	semidirect
447. C₂×#11719921	C₂×C₄	semidirect
448. C₂×#11719921	C₂×C₄	semidirect
449. C₂×#11719921	C₂×C₄	semidirect
450. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
451. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
452. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
453. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
454. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
455. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
456. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
457. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
475. #126×C₅₃	C₂×C₄	semidirect
476. #126×C₅₃	C₂×C₄	semidirect
477. #124×C₅₃	C₂×C₄	semidirect
478. #123×C₅₃	C₂×C₄	semidirect
479. #123×C₅₃	C₂×C₄	semidirect
480. #123×C₅₃	C₂×C₄	semidirect
481. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
482. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
484. C₄×D₄×C₅₃	C₂×C₄	semidirect
485. C₄×D₄×C₅₃	C₂×C₄	semidirect
486. #117×C₅₃	C₂×C₄	semidirect
487. #117×C₅₃	C₂×C₄	semidirect
488. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
489. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
1113. #551	#6157	semidirect
1269. C₅₃	#34315	semidirect
1302. #126	C₂×#6157	semidirect
1303. #126	C₂×#6157	semidirect
1311. #124	C₂×#6157	semidirect
1333. #123	C₂×#6157	semidirect
1334. #123	C₂×#6157	semidirect
1335. #123	C₂×#6157	semidirect
1350. C₂²⋊Q₈	C₂×#6157	semidirect
1351. C₂²⋊Q₈	C₂×#6157	semidirect
1378. C₄×D₄	C₂×#6157	semidirect
1379. C₄×D₄	C₂×#6157	semidirect
1396. #117	C₂×#6157	semidirect
1397. #117	C₂×#6157	semidirect
1480. C₂×C₂²⋊C₄	C₂×#6157	semidirect
1481. C₂×C₂²⋊C₄	C₂×#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
#20291252	2
#20291247	2
#20291246	2
#20291241	2
#20291238	2
#20291237	2
#20291236	2
#20291232	2
#20291226	2
#20291222	2
#20291221	2
#20291216	2
#20291214	2
#20291213	2
#20291211	2
#20291201	2
#20291200	2
#126×#6157	2
C₂²⋊Q₈×#6157	2
#123×#6157	2
#20291177	2
#20291169	2
C₂×#16811573	2
#20291152	2
#20291151	2
C₄×D₄×#6157	2
#551×D₅₃	2
#34315	53