Subgroups — #28329139

Order 13568.

2156 conjugacy classes of subgroups.

The subgroup lattice has 2098 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291262	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291257	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291255	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291254	C₂	1	1	yes	maximal, characteristic
5	#20291253	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291246	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291241	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291233	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	#20291226	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	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291213	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291211	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291202	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291200	C₂	1	1	yes	maximal, characteristic
24	#20291197	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291193	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291191	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291191	C₂	1	1	yes	maximal, characteristic, complemented
28	#126×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291177	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291172	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×#13133296	C₂²	1	1	yes	characteristic
35	C₂×#13133296	C₂²	1	1	yes	characteristic
36	C₂×#13133296	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
38	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	#16811575	C₂²	1	1	yes	characteristic
42	#16811575	C₂²	1	1	yes	characteristic
43	#16811575	C₂²	1	1	yes	characteristic
44	#16811575	C₂²	1	1	yes	characteristic
45	#16811575	C₂²	1	1	yes	characteristic
46	#16811574	C₂²	1	1	yes	characteristic, complemented
47	#16811574	C₂²	1	1	yes	characteristic, complemented
48	#16811574	C₂²	1	1	yes	characteristic, complemented
49	#16811574	C₂²	1	1	yes	characteristic, complemented
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
77	#16811573	C₂²	1	1	yes	characteristic
78	#16811573	C₂²	1	1	yes	characteristic
79	#16811573	C₂²	1	1	yes	characteristic
80	#16811573	C₂²	1	1	yes	characteristic
81	#16811573	C₂²	1	1	yes	characteristic
82	#16811573	C₂²	1	1	yes	characteristic
83	#16811573	C₂²	1	1	yes	characteristic
84	#16811573	C₂²	1	1	yes	characteristic
85	#16811573	C₂²	1	1	yes	characteristic
86	#16811573	C₂²	1	1	yes	characteristic
87	#16811573	C₂²	1	1	yes	characteristic
88	#16811573	C₂²	1	1	yes	characteristic, complemented
89	#16811573	C₂²	1	1	yes	characteristic, complemented
90	#16811573	C₂²	1	1	yes	characteristic, complemented
91	#16811573	C₂²	1	1	yes	characteristic, complemented
92	#16811573	C₂²	1	1	yes	characteristic, complemented
93	#16811573	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	#16811572	C₂²	1	1	yes	characteristic, complemented
99	#16811572	C₂²	1	1	yes	characteristic, complemented
100	#16811572	C₂²	1	1	yes	characteristic, complemented
101	#16811572	C₂²	1	1	yes	characteristic, complemented
102	#16811572	C₂²	1	1	yes	characteristic, complemented
103	#16811572	C₂²	1	1	yes	characteristic, complemented
104	#16811572	C₂²	1	1	yes	characteristic, complemented
105	#16811572	C₂²	1	1	yes	characteristic, complemented
106	#16811572	C₂²	1	1	yes	characteristic, complemented
107	#16811572	C₂²	1	1	yes	characteristic, complemented
108	#16811572	C₂²	1	1	yes	characteristic, complemented
109	#16811572	C₂²	1	1	yes	characteristic, complemented
110	#16811571	C₂²	1	1	yes	characteristic
111	#16811571	C₂²	1	1	yes	characteristic
112	#16811571	C₂²	1	1	yes	characteristic
113	#16811571	C₂²	1	1	yes	characteristic
114	#16811571	C₂²	1	1	yes	characteristic
115	#16811571	C₂²	1	1	yes	characteristic
116	#16811570	C₂²	1	1	yes	characteristic
117	#16811570	C₂²	1	1	yes	characteristic
118	#16811570	C₂²	1	1	yes	characteristic
119	#16811570	C₂²	1	1	yes	characteristic
120	#16811570	C₂²	1	1	yes	characteristic
121	#16811570	C₂²	1	1	yes	characteristic, complemented
122	#16811570	C₂²	1	1	yes	characteristic, complemented
123	#16811570	C₂²	1	1	yes	characteristic, complemented
124	#16811569	C₂²	1	1	yes	characteristic, complemented
125	#16811568	C₂²	1	1	yes	characteristic, complemented
126	#16811568	C₂²	1	1	yes	characteristic, complemented
127	#16811568	C₂²	1	1	yes	characteristic, complemented
128	#16811567	C₂²	1	1	yes	characteristic, complemented
129	#16811566	C₂²	1	1	yes	characteristic
130	#16811566	C₂²	1	1	yes	characteristic
131	#16811565	C₂²	1	1	yes	characteristic
132	#16811565	C₂²	1	1	yes	characteristic
133	#16811565	C₂²	1	1	yes	characteristic
134	#16811565	C₂²	1	1	yes	characteristic
135	#16811565	C₂²	1	1	yes	characteristic
136	#16811565	C₂²	1	1	yes	characteristic
137	#16811565	C₂²	1	1	yes	characteristic, complemented
138	#16811564	C₂²	1	1	yes	characteristic
139	#16811564	C₂²	1	1	yes	characteristic
140	#16811564	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
142	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
143	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
144	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
145	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
146	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
147	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
148	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
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
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
160	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
161	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
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
166	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
169	#16811559	C₂²	1	1	yes	characteristic, complemented
170	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	Q₈×#6157	—	4	2	no	—
208	D₄×#6157	—	4	2	no	—
209	#13133296	—	4	2	no	—
210	#13133296	—	4	2	no	—
211	#13133296	—	4	2	no	—
212	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
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×C₂²⋊#6157	—	4	2	no	—
235	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
264	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
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×#6157)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×#6157)⋊C₄	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	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
330	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
331	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
336	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
337	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
339	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
340	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
341	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
342	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
343	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
344	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
345	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
346	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
347	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
348	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
349	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
350	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133206	C₂×C₄	1	1	yes	characteristic
354	#13133205	C₂×C₄	1	1	yes	characteristic
355	#13133204	C₂×C₄	1	1	yes	characteristic
356	#13133203	C₂×C₄	1	1	yes	characteristic
357	#13133203	C₂×C₄	1	1	yes	characteristic
358	#13133203	C₂×C₄	1	1	yes	characteristic
359	#13133203	C₂×C₄	1	1	yes	characteristic
360	#13133202	C₂×C₄	1	1	yes	characteristic
361	#13133202	C₂×C₄	1	1	yes	characteristic
362	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
365	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133201	C₂×C₄	1	1	yes	characteristic
367	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133200	C₂×C₄	1	1	yes	characteristic
370	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133199	C₂×C₄	1	1	yes	characteristic
373	#13133199	C₂×C₄	1	1	yes	characteristic
374	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133198	C₂×C₄	1	1	yes	characteristic
379	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133187	C₂×C₄	1	1	yes	characteristic
396	#13133187	C₂×C₄	1	1	yes	characteristic
397	#13133187	C₂×C₄	1	1	yes	characteristic
398	#13133186	C₂×C₄	1	1	yes	characteristic
399	#13133185	C₂×C₄	1	1	yes	characteristic
400	#13133185	C₂×C₄	1	1	yes	characteristic
401	#13133185	C₂×C₄	1	1	yes	characteristic
402	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
403	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
404	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
405	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
408	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
409	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
410	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
411	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
416	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
417	#13133176	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133175	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
423	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133174	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133173	C₂×C₄	1	1	yes	characteristic, complemented
430	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
431	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
432	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
433	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
434	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
435	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
436	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
437	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
438	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
439	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
440	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
441	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
442	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
443	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
444	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
445	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
446	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
447	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
448	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
449	C₂²⋊C₄×D₅₃	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	C₂³	1	1	yes	characteristic
453	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
454	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
455	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
456	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
457	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
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	C₄²×D₅₃	C₂³	1	1	yes	characteristic
467	C₄²×D₅₃	C₂³	1	1	yes	characteristic
468	C₄²×D₅₃	C₂³	1	1	yes	characteristic
469	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
470	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
471	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
472	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
473	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
474	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
475	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	#120×C₅₃	C₂×C₄	1	1	yes	characteristic
478	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
481	#117×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	C₂⁴×C₅₃	C₂²×C₄	1	1	yes	characteristic
485	C₂³×D₅₃	—	4	1	no	—
486	C₂³×D₅₃	—	4	1	no	—
487	C₂³×D₅₃	—	4	1	no	—
488	C₂³×D₅₃	—	4	1	no	—
489	C₂³×D₅₃	—	4	1	no	—
490	C₂³×D₅₃	—	4	1	no	—
491	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
495	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
496	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
497	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
498	C₂²×#6157	—	2	2	no	—
499	C₂²×#6157	—	4	1	no	—
500	C₂²×#6157	—	4	1	no	—
501	C₂²×#6157	—	4	1	no	—
502	C₂²×#6157	—	4	1	no	—
503	C₂²×#6157	—	4	1	no	—
504	C₂²×#6157	—	4	1	no	—
505	C₂²×#6157	—	4	1	no	—
506	C₂²×#6157	—	4	1	no	—
507	C₂²×#6157	—	4	1	no	—
508	C₂²×#6157	—	4	1	no	—
509	C₂²×#6157	—	4	1	no	—
510	C₂²×#6157	C₂⁴	1	1	yes	characteristic
511	C₂²×#6157	C₂⁴	1	1	yes	characteristic
512	C₂²×#6157	C₂⁴	1	1	yes	characteristic
513	C₂²×#6157	C₂⁴	1	1	yes	characteristic
514	C₂²×#6157	C₂⁴	1	1	yes	characteristic
515	C₂²×#6157	C₂⁴	1	1	yes	characteristic
516	C₂²×#6157	C₂⁴	1	1	yes	characteristic
517	C₂²×#6157	C₂⁴	1	1	yes	characteristic
518	C₂²×#6157	C₂⁴	1	1	yes	characteristic
519	C₂²×#6157	C₂⁴	1	1	yes	characteristic
520	C₂²×#6157	C₂⁴	1	1	yes	characteristic
521	C₂²×#6157	C₂⁴	1	1	yes	characteristic
522	C₂²×#6157	C₂⁴	1	1	yes	characteristic
523	C₂²×#6157	C₂⁴	1	1	yes	characteristic
524	C₂²×#6157	C₂⁴	1	1	yes	characteristic
525	C₂²×#6157	C₂⁴	1	1	yes	characteristic
526	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
533	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
534	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
541	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
542	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
543	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
544	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
545	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
546	Q₈×D₅₃	—	4	1	no	—
547	Q₈×D₅₃	—	4	1	no	—
548	D₄×D₅₃	—	4	1	no	—
549	D₄×D₅₃	—	4	1	no	—
550	D₄×D₅₃	—	4	1	no	—
551	D₄×D₅₃	—	4	1	no	—
552	D₄×D₅₃	—	4	1	no	—
553	D₄×D₅₃	—	4	1	no	—
554	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
555	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
556	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₄×D₅₃	—	4	1	no	—
558	C₂×C₄×D₅₃	—	4	1	no	—
559	C₂×C₄×D₅₃	—	4	1	no	—
560	C₂×C₄×D₅₃	—	4	1	no	—
561	C₂×C₄×D₅₃	—	4	1	no	—
562	C₂×C₄×D₅₃	—	4	1	no	—
563	C₂×C₄×D₅₃	—	4	1	no	—
564	C₂×C₄×D₅₃	—	4	1	no	—
565	C₂×C₄×D₅₃	—	4	1	no	—
566	C₂×C₄×D₅₃	—	4	1	no	—
567	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
582	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
589	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
590	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
591	C₂²⋊#6157	—	2	2	no	—
592	C₂²⋊#6157	—	2	2	no	—
593	C₂²⋊#6157	—	2	2	no	—
594	C₂²⋊#6157	—	4	1	no	—
595	C₂²⋊#6157	—	4	1	no	—
596	C₂²⋊#6157	—	4	1	no	—
597	C₂²⋊#6157	—	4	1	no	—
598	C₂²⋊#6157	—	4	1	no	—
599	C₂²⋊#6157	—	4	1	no	—
600	C₂²⋊#6157	—	4	1	no	—
601	C₂²⋊#6157	—	4	1	no	—
602	C₂²⋊#6157	—	4	1	no	—
603	C₂²⋊#6157	—	4	1	no	—
604	C₂²⋊#6157	—	4	1	no	—
605	C₂²⋊#6157	—	4	1	no	—
606	C₂²⋊#6157	—	4	1	no	—
607	C₂²⋊#6157	—	4	1	no	—
608	C₂²⋊#6157	—	4	1	no	—
609	C₂²⋊#6157	—	4	1	no	—
610	C₂²⋊#6157	—	4	1	no	—
611	C₂²⋊#6157	—	4	1	no	—
612	C₂²⋊#6157	—	4	1	no	—
613	C₂²⋊#6157	—	4	1	no	—
614	C₂²⋊#6157	—	4	1	no	—
615	C₂²⋊#6157	—	4	1	no	—
616	C₂²⋊#6157	—	4	1	no	—
617	C₂²⋊#6157	—	4	1	no	—
618	C₂²⋊#6157	—	4	1	no	—
619	C₄⋊#6157	—	2	2	no	—
620	C₄⋊#6157	—	2	2	no	—
621	C₄⋊#6157	—	2	2	no	—
622	C₄⋊#6157	—	4	1	no	—
623	C₄⋊#6157	—	4	1	no	—
624	C₄⋊#6157	—	4	1	no	—
625	C₄⋊#6157	—	4	1	no	—
626	C₄⋊#6157	—	4	1	no	—
627	C₄⋊#6157	—	4	1	no	—
628	C₄⋊#6157	—	4	1	no	—
629	C₄⋊#6157	—	4	1	no	—
630	C₄⋊#6157	—	4	1	no	—
631	C₄⋊#6157	—	4	1	no	—
632	C₄⋊#6157	—	4	1	no	—
633	C₄⋊#6157	—	4	1	no	—
634	C₄⋊#6157	—	4	1	no	—
635	C₄⋊#6157	—	4	1	no	—
636	C₄⋊#6157	—	4	1	no	—
637	C₄⋊#6157	—	4	1	no	—
638	C₄⋊#6157	—	4	1	no	—
639	C₄⋊#6157	—	4	1	no	—
640	C₄⋊#6157	—	4	1	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	—	4	1	no	—
652	C₄×#6157	—	4	1	no	—
653	C₄×#6157	—	4	1	no	—
654	C₄×#6157	—	4	1	no	—
655	C₄×#6157	—	4	1	no	—
656	C₄×#6157	—	4	1	no	—
657	C₄×#6157	—	4	1	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⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
664	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
665	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
666	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
667	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
668	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
669	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
670	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
671	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
672	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
673	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
674	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
675	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
676	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
677	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
685	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
686	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
687	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
691	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
692	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
693	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
694	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
699	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
700	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
701	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
702	#11719921	C₂²×C₄	1	1	yes	characteristic
703	#11719921	C₂²×C₄	1	1	yes	characteristic
704	#11719921	C₂²×C₄	1	1	yes	characteristic
705	#11719921	C₂²×C₄	1	1	yes	characteristic
706	#11719921	C₂²×C₄	1	1	yes	characteristic
707	#11719921	C₂²×C₄	1	1	yes	characteristic
708	#11719921	C₂²×C₄	1	1	yes	characteristic
709	#11719921	C₂²×C₄	1	1	yes	characteristic
710	#11719921	C₂²×C₄	1	1	yes	characteristic
711	#11719921	C₂²×C₄	1	1	yes	characteristic
712	#11719921	C₂²×C₄	1	1	yes	characteristic
713	#11719921	C₂²×C₄	1	1	yes	characteristic
714	#11719921	C₂²×C₄	1	1	yes	characteristic
715	#11719921	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	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
731	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
732	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
733	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
734	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
735	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
736	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
737	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
738	#11719919	C₂²×C₄	1	1	yes	characteristic
739	#11719919	C₂²×C₄	1	1	yes	characteristic
740	#11719919	C₂²×C₄	1	1	yes	characteristic
741	#11719919	C₂²×C₄	1	1	yes	characteristic
742	#11719919	C₂²×C₄	1	1	yes	characteristic
743	#11719919	C₂²×C₄	1	1	yes	characteristic
744	#11719919	C₂²×C₄	1	1	yes	characteristic
745	#11719919	C₂²×C₄	1	1	yes	characteristic
746	#11719919	C₂²×C₄	1	1	yes	characteristic
747	#11719919	C₂²×C₄	1	1	yes	characteristic
748	#11719919	C₂²×C₄	1	1	yes	characteristic
749	#11719919	C₂²×C₄	1	1	yes	characteristic
750	#11719919	C₂²×C₄	1	1	yes	characteristic
751	#11719919	C₂²×C₄	1	1	yes	characteristic
752	#11719919	C₂²×C₄	1	1	yes	characteristic
753	#11719919	C₂²×C₄	1	1	yes	characteristic
754	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
755	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
756	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
757	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
758	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
759	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
760	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
761	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
762	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
763	C₂³×C₅₃	—	4	1	no	—
764	C₂³×C₅₃	—	4	1	no	—
765	C₂³×C₅₃	—	4	1	no	—
766	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
767	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
768	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
769	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
770	C₂²×D₅₃	—	2	1	no	—
771	C₂²×D₅₃	—	2	1	no	—
772	C₂²×D₅₃	—	2	1	no	—
773	C₂²×D₅₃	—	2	1	no	—
774	C₂²×D₅₃	—	2	1	no	—
775	C₂²×D₅₃	—	2	1	no	—
776	C₂²×D₅₃	—	2	1	no	—
777	C₂²×D₅₃	—	2	1	no	—
778	C₂²×D₅₃	—	2	1	no	—
779	C₂²×D₅₃	—	2	1	no	—
780	C₂²×D₅₃	—	2	1	no	—
781	C₂²×D₅₃	—	2	1	no	—
782	C₂²×D₅₃	—	2	1	no	—
783	C₂²×D₅₃	—	2	1	no	—
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	1	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	—	4	1	no	—
795	C₂²×D₅₃	—	4	1	no	—
796	C₂²×D₅₃	—	4	1	no	—
797	C₂²×D₅₃	—	4	1	no	—
798	C₂²×D₅₃	—	4	1	no	—
799	C₂²×D₅₃	—	4	1	no	—
800	C₂²×D₅₃	—	4	1	no	—
801	C₂²×D₅₃	—	4	1	no	—
802	C₂²×D₅₃	—	4	1	no	—
803	C₂²×D₅₃	—	8	2	no	—
804	C₂²×D₅₃	—	8	2	no	—
805	C₂²×D₅₃	—	8	2	no	—
806	C₂²×D₅₃	—	8	2	no	—
807	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
808	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
809	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
810	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
811	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
812	C₂×#6157	—	2	1	no	—
813	C₂×#6157	—	2	1	no	—
814	C₂×#6157	—	2	1	no	—
815	C₂×#6157	—	2	1	no	—
816	C₂×#6157	—	2	1	no	—
817	C₂×#6157	—	2	1	no	—
818	C₂×#6157	—	2	1	no	—
819	C₂×#6157	—	2	1	no	—
820	C₂×#6157	—	2	1	no	—
821	C₂×#6157	—	2	1	no	—
822	C₂×#6157	—	2	1	no	—
823	C₂×#6157	—	2	1	no	—
824	C₂×#6157	—	2	1	no	—
825	C₂×#6157	—	2	1	no	—
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	—	8	2	no	—
860	C₂×#6157	—	8	2	no	—
861	C₂×#6157	—	8	2	no	—
862	C₂×#6157	—	8	2	no	—
863	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
864	Q₈×C₅₃	—	4	1	no	—
865	D₄×C₅₃	—	4	1	no	—
866	D₄×C₅₃	—	4	1	no	—
867	D₄×C₅₃	—	4	1	no	—
868	C₂×C₄×C₅₃	—	4	1	no	—
869	C₂×C₄×C₅₃	—	4	1	no	—
870	C₂×C₄×C₅₃	—	4	1	no	—
871	C₂×C₄×C₅₃	—	4	1	no	—
872	C₂×C₄×C₅₃	—	4	1	no	—
873	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
874	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
875	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
876	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
877	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
878	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
879	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
880	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
881	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
882	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
883	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
884	C₂²⋊D₅₃	—	4	1	no	—
885	C₂²⋊D₅₃	—	4	1	no	—
886	C₂²⋊D₅₃	—	4	1	no	—
887	C₂²⋊D₅₃	—	4	1	no	—
888	C₂²⋊D₅₃	—	4	1	no	—
889	C₂²⋊D₅₃	—	4	1	no	—
890	C₂×Dic₅₃	—	4	1	no	—
891	C₂×Dic₅₃	—	4	1	no	—
892	C₂×Dic₅₃	—	4	1	no	—
893	C₂×Dic₅₃	—	4	1	no	—
894	C₂×Dic₅₃	—	4	1	no	—
895	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
896	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
897	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
898	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
899	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
900	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
901	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
902	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
903	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
904	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
905	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
906	D₂₁₂	—	4	1	no	—
907	D₂₁₂	—	4	1	no	—
908	D₂₁₂	—	4	1	no	—
909	C₄×D₅₃	—	2	1	no	—
910	C₄×D₅₃	—	2	1	no	—
911	C₄×D₅₃	—	2	1	no	—
912	C₄×D₅₃	—	2	1	no	—
913	C₄×D₅₃	—	2	1	no	—
914	C₄×D₅₃	—	2	1	no	—
915	C₄×D₅₃	—	2	1	no	—
916	C₄×D₅₃	—	2	1	no	—
917	C₄×D₅₃	—	2	1	no	—
918	C₄×D₅₃	—	2	1	no	—
919	C₄×D₅₃	—	2	1	no	—
920	C₄×D₅₃	—	2	1	no	—
921	C₄×D₅₃	—	2	1	no	—
922	C₄×D₅₃	—	2	1	no	—
923	C₄×D₅₃	—	2	1	no	—
924	C₄×D₅₃	—	2	1	no	—
925	C₄×D₅₃	—	2	1	no	—
926	C₄×D₅₃	—	2	1	no	—
927	C₄×D₅₃	—	2	1	no	—
928	C₄×D₅₃	—	2	1	no	—
929	C₄×D₅₃	—	2	1	no	—
930	C₄×D₅₃	—	2	1	no	—
931	C₄×D₅₃	—	4	1	no	—
932	C₄×D₅₃	—	4	1	no	—
933	C₄×D₅₃	—	4	1	no	—
934	C₄×D₅₃	—	4	1	no	—
935	C₄×D₅₃	—	4	1	no	—
936	C₄×D₅₃	—	4	1	no	—
937	C₄×D₅₃	—	4	1	no	—
938	C₄×D₅₃	—	4	1	no	—
939	C₄×D₅₃	—	4	1	no	—
940	C₄×D₅₃	—	4	1	no	—
941	Dic₁₀₆	—	4	1	no	—
942	Dic₁₀₆	—	4	1	no	—
943	Dic₁₀₆	—	4	1	no	—
944	#34504	—	53	1	no	maximal, Sylow
945	C₂²×C₅₃	—	2	1	no	—
946	C₂²×C₅₃	—	2	1	no	—
947	C₂²×C₅₃	—	2	1	no	—
948	C₂²×C₅₃	—	2	1	no	—
949	C₂²×C₅₃	—	2	1	no	—
950	C₂²×C₅₃	—	2	1	no	—
951	C₂²×C₅₃	—	2	1	no	—
952	C₂²×C₅₃	—	2	1	no	—
953	C₂²×C₅₃	—	2	1	no	—
954	C₂²×C₅₃	—	2	1	no	—
955	C₂²×C₅₃	—	2	1	no	—
956	C₂²×C₅₃	—	2	1	no	—
957	C₂²×C₅₃	—	8	2	no	—
958	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
959	C₂×D₅₃	—	2	1	no	—
960	C₂×D₅₃	—	2	1	no	—
961	C₂×D₅₃	—	2	1	no	—
962	C₂×D₅₃	—	2	1	no	—
963	C₂×D₅₃	—	2	1	no	—
964	C₂×D₅₃	—	2	1	no	—
965	C₂×D₅₃	—	2	1	no	—
966	C₂×D₅₃	—	2	1	no	—
967	C₂×D₅₃	—	2	1	no	—
968	C₂×D₅₃	—	2	1	no	—
969	C₂×D₅₃	—	2	1	no	—
970	C₂×D₅₃	—	2	1	no	—
971	C₂×D₅₃	—	4	1	no	—
972	C₂×D₅₃	—	4	1	no	—
973	C₂×D₅₃	—	4	1	no	—
974	C₂×D₅₃	—	4	1	no	—
975	C₂×D₅₃	—	4	1	no	—
976	C₂×D₅₃	—	4	1	no	—
977	C₂×D₅₃	—	4	1	no	—
978	C₂×D₅₃	—	4	1	no	—
979	C₂×D₅₃	—	4	1	no	—
980	C₂×D₅₃	—	4	1	no	—
981	C₂×D₅₃	—	4	1	no	—
982	C₂×D₅₃	—	4	1	no	—
983	C₂×D₅₃	—	4	1	no	—
984	C₂×D₅₃	—	4	1	no	—
985	C₂×D₅₃	—	4	1	no	—
986	C₂×D₅₃	—	4	1	no	—
987	C₂×D₅₃	—	8	2	no	—
988	C₂×D₅₃	—	8	2	no	—
989	C₂×D₅₃	—	8	2	no	—
990	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
991	C₂×D₅₃	#585	1	1	yes	characteristic
992	C₂×D₅₃	#585	1	1	yes	characteristic
993	C₂×D₅₃	#585	1	1	yes	characteristic
994	C₂×D₅₃	#585	1	1	yes	characteristic
995	C₂×D₅₃	#585	1	1	yes	characteristic
996	#6157	—	2	2	no	—
997	#6157	—	4	1	no	—
998	#6157	—	4	1	no	—
999	#6157	—	4	1	no	—
1000	#6157	—	4	1	no	—
1001	#6157	—	4	1	no	—
1002	#6157	—	4	1	no	—
1003	#6157	—	4	1	no	—
1004	#6157	—	4	1	no	—
1005	#6157	—	4	1	no	—
1006	#6157	—	4	1	no	—
1007	#6157	—	4	1	no	—
1008	#6157	—	4	1	no	—
1009	#6157	—	4	1	no	—
1010	#6157	—	4	1	no	—
1011	#6157	—	4	1	no	—
1012	C₄×C₅₃	—	2	1	no	—
1013	C₄×C₅₃	—	2	1	no	—
1014	C₄×C₅₃	—	2	1	no	—
1015	C₄×C₅₃	—	2	1	no	—
1016	C₄×C₅₃	—	2	1	no	—
1017	C₄×C₅₃	—	2	1	no	—
1018	C₄×C₅₃	—	2	1	no	—
1019	C₄×C₅₃	—	2	1	no	—
1020	C₄×C₅₃	—	2	1	no	—
1021	C₄×C₅₃	—	2	1	no	—
1022	C₄×C₅₃	—	2	1	no	—
1023	Dic₅₃	—	2	1	no	—
1024	Dic₅₃	—	2	1	no	—
1025	Dic₅₃	—	2	1	no	—
1026	Dic₅₃	—	2	1	no	—
1027	Dic₅₃	—	2	1	no	—
1028	Dic₅₃	—	2	1	no	—
1029	Dic₅₃	—	2	1	no	—
1030	Dic₅₃	—	2	1	no	—
1031	Dic₅₃	—	2	1	no	—
1032	Dic₅₃	—	2	1	no	—
1033	Dic₅₃	—	2	1	no	—
1034	C₂×#551	—	53	1	no	—
1035	#2383	—	53	1	no	—
1036	#2378	—	53	1	no	—
1037	#2376	—	53	1	no	—
1038	#2375	—	53	1	no	—
1039	#2374	—	53	1	no	—
1040	#2373	—	53	1	no	—
1041	#2367	—	53	1	no	—
1042	#2362	—	53	1	no	—
1043	#2359	—	53	1	no	—
1044	#2354	—	53	1	no	—
1045	#2353	—	53	1	no	—
1046	#2347	—	53	1	no	—
1047	#2347	—	53	1	no	—
1048	#2342	—	53	1	no	—
1049	#2342	—	53	1	no	—
1050	#2337	—	53	1	no	—
1051	#2335	—	53	1	no	—
1052	#2335	—	53	1	no	—
1053	#2335	—	53	1	no	—
1054	#2334	—	53	1	no	—
1055	#2332	—	53	1	no	—
1056	#2323	—	53	1	no	—
1057	#2321	—	53	1	no	—
1058	#2318	—	53	1	no	—
1059	#2314	—	53	1	no	—
1060	#2312	—	53	1	no	—
1061	#2312	—	53	1	no	—
1062	C₄×#126	—	53	1	no	—
1063	#2298	—	53	1	no	—
1064	#2293	—	53	1	no	—
1065	C₂×C₅₃	—	4	1	no	—
1066	C₂×C₅₃	—	4	1	no	—
1067	C₂×C₅₃	—	4	1	no	—
1068	C₂×C₅₃	—	4	1	no	—
1069	C₂×C₅₃	#3428	1	1	yes	characteristic
1070	C₂×C₅₃	#3428	1	1	yes	characteristic
1071	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1072	D₅₃	—	4	1	no	—
1073	D₅₃	—	4	1	no	—
1074	D₅₃	—	4	1	no	—
1075	D₅₃	—	4	1	no	—
1076	D₅₃	#3560	1	1	yes	characteristic
1077	D₅₃	#3562	1	1	yes	characteristic
1078	D₅₃	#3566	1	1	yes	characteristic
1079	D₅₃	#3568	1	1	yes	characteristic
1080	#551	—	53	1	no	—
1081	#551	—	53	1	no	—
1082	#551	—	53	1	no	—
1083	#551	—	53	1	no	—
1084	#551	—	53	1	no	—
1085	#551	—	53	1	no	—
1086	#551	—	53	1	no	—
1087	#551	—	53	1	no	—
1088	#551	—	53	1	no	—
1089	#551	—	53	1	no	—
1090	#551	—	53	1	no	—
1091	#551	—	53	1	no	—
1092	#551	—	53	1	no	—
1093	#551	—	53	1	no	—
1094	#551	—	53	1	no	—
1095	#551	#6157	1	1	yes	characteristic, complemented
1096	C₂×#126	—	53	1	no	—
1097	C₂×#126	—	53	1	no	—
1098	C₂×#124	—	53	1	no	—
1099	C₂×#123	—	53	1	no	—
1100	C₂×#123	—	53	1	no	—
1101	C₂×#123	—	53	1	no	—
1102	C₂×C₂²⋊Q₈	—	53	1	no	—
1103	C₂×C₂²⋊Q₈	—	53	1	no	—
1104	C₂×#120	—	53	1	no	—
1105	C₂×C₄×Q₈	—	53	1	no	—
1106	C₂×C₄×D₄	—	53	1	no	—
1107	C₂×C₄×D₄	—	53	1	no	—
1108	C₂×C₄×D₄	—	53	1	no	—
1109	C₂×#117	—	53	1	no	—
1110	C₂×#117	—	53	1	no	—
1111	C₂×#117	—	53	1	no	—
1112	C₂×#117	—	53	1	no	—
1113	C₂×#117	—	53	1	no	—
1114	C₂²×C₂²⋊C₄	—	53	1	no	—
1115	C₂²×C₂²⋊C₄	—	53	1	no	—
1116	C₂²×C₂²⋊C₄	—	53	1	no	—
1117	#391	—	53	1	no	—
1118	#391	—	53	1	no	—
1119	#391	—	53	1	no	—
1120	#390	—	53	1	no	—
1121	#390	—	53	1	no	—
1122	#390	—	53	1	no	—
1123	#390	—	53	1	no	—
1124	#390	—	53	1	no	—
1125	#389	—	53	1	no	—
1126	#389	—	53	1	no	—
1127	#389	—	53	1	no	—
1128	#389	—	53	1	no	—
1129	#389	—	53	1	no	—
1130	#389	—	53	1	no	—
1131	#389	—	53	1	no	—
1132	#389	—	53	1	no	—
1133	#388	—	53	1	no	—
1134	#388	—	53	1	no	—
1135	#388	—	53	1	no	—
1136	#388	—	53	1	no	—
1137	#388	—	53	1	no	—
1138	#388	—	53	1	no	—
1139	#388	—	53	1	no	—
1140	#388	—	53	1	no	—
1141	#388	—	53	1	no	—
1142	#388	—	53	1	no	—
1143	#388	—	53	1	no	—
1144	#388	—	53	1	no	—
1145	#388	—	53	1	no	—
1146	#388	—	53	1	no	—
1147	#388	—	53	1	no	—
1148	#388	—	53	1	no	—
1149	#388	—	53	1	no	—
1150	#388	—	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	#387	—	53	1	no	—
1174	#387	—	53	1	no	—
1175	#387	—	53	1	no	—
1176	#387	—	53	1	no	—
1177	#387	—	53	1	no	—
1178	#387	—	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	#386	—	53	1	no	—
1190	#386	—	53	1	no	—
1191	#386	—	53	1	no	—
1192	#386	—	53	1	no	—
1193	#386	—	53	1	no	—
1194	#386	—	53	1	no	—
1195	#385	—	53	1	no	—
1196	#385	—	53	1	no	—
1197	#385	—	53	1	no	—
1198	#385	—	53	1	no	—
1199	#385	—	53	1	no	—
1200	#385	—	53	1	no	—
1201	#385	—	53	1	no	—
1202	#385	—	53	1	no	—
1203	#384	—	53	1	no	—
1204	#383	—	53	1	no	—
1205	#383	—	53	1	no	—
1206	#383	—	53	1	no	—
1207	#382	—	53	1	no	—
1208	#381	—	53	1	no	—
1209	#381	—	53	1	no	—
1210	#380	—	53	1	no	—
1211	#380	—	53	1	no	—
1212	#380	—	53	1	no	—
1213	#380	—	53	1	no	—
1214	#380	—	53	1	no	—
1215	#380	—	53	1	no	—
1216	#380	—	53	1	no	—
1217	#379	—	53	1	no	—
1218	#379	—	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×C₂²⋊C₄	—	53	1	no	—
1234	C₄×C₂²⋊C₄	—	53	1	no	—
1235	C₄×C₂²⋊C₄	—	53	1	no	—
1236	C₄×C₂²⋊C₄	—	53	1	no	—
1237	C₄×C₂²⋊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	#376	—	53	1	no	—
1249	C₂×#95	—	53	1	no	—
1250	C₄³	—	53	1	no	—
1251	C₅₃	#34504	1	1	yes	characteristic, complemented, Sylow
1252	C₂⁵	—	53	1	no	—
1253	C₂²×Q₈	—	53	1	no	—
1254	C₂²×D₄	—	53	1	no	—
1255	C₂²×D₄	—	53	1	no	—
1256	C₂²×D₄	—	53	1	no	—
1257	C₂³×C₄	—	53	1	no	—
1258	C₂³×C₄	—	53	1	no	—
1259	C₂³×C₄	—	53	1	no	—
1260	C₂³×C₄	—	53	1	no	—
1261	C₂³×C₄	—	53	1	no	—
1262	C₂³×C₄	—	53	1	no	—
1263	C₂³×C₄	—	53	1	no	—
1264	C₂³×C₄	—	53	1	no	—
1265	C₂³×C₄	—	53	1	no	—
1266	#126	—	53	1	no	—
1267	#126	—	53	1	no	—
1268	#126	—	53	1	no	—
1269	#126	—	53	1	no	—
1270	#126	—	53	1	no	—
1271	#126	—	53	1	no	—
1272	#126	—	53	1	no	—
1273	#126	—	53	1	no	—
1274	#126	—	53	1	no	—
1275	#126	—	53	1	no	—
1276	#126	—	53	1	no	—
1277	#126	—	53	1	no	—
1278	#126	—	53	1	no	—
1279	#126	—	53	1	no	—
1280	#126	C₂×#6157	1	1	yes	characteristic, complemented
1281	#126	C₂×#6157	1	1	yes	characteristic, complemented
1282	#124	—	53	1	no	—
1283	#124	—	53	1	no	—
1284	#124	—	53	1	no	—
1285	#124	—	53	1	no	—
1286	#124	—	53	1	no	—
1287	#124	—	53	1	no	—
1288	#124	—	53	1	no	—
1289	#124	C₂×#6157	1	1	yes	characteristic
1290	#123	—	53	1	no	—
1291	#123	—	53	1	no	—
1292	#123	—	53	1	no	—
1293	#123	—	53	1	no	—
1294	#123	—	53	1	no	—
1295	#123	—	53	1	no	—
1296	#123	—	53	1	no	—
1297	#123	—	53	1	no	—
1298	#123	—	53	1	no	—
1299	#123	—	53	1	no	—
1300	#123	—	53	1	no	—
1301	#123	—	53	1	no	—
1302	#123	—	53	1	no	—
1303	#123	—	53	1	no	—
1304	#123	—	53	1	no	—
1305	#123	—	53	1	no	—
1306	#123	—	53	1	no	—
1307	#123	—	53	1	no	—
1308	#123	—	53	1	no	—
1309	#123	—	53	1	no	—
1310	#123	—	53	1	no	—
1311	#123	C₂×#6157	1	1	yes	characteristic
1312	#123	C₂×#6157	1	1	yes	characteristic, complemented
1313	#123	C₂×#6157	1	1	yes	characteristic, complemented
1314	C₂²⋊Q₈	—	53	1	no	—
1315	C₂²⋊Q₈	—	53	1	no	—
1316	C₂²⋊Q₈	—	53	1	no	—
1317	C₂²⋊Q₈	—	53	1	no	—
1318	C₂²⋊Q₈	—	53	1	no	—
1319	C₂²⋊Q₈	—	53	1	no	—
1320	C₂²⋊Q₈	—	53	1	no	—
1321	C₂²⋊Q₈	—	53	1	no	—
1322	C₂²⋊Q₈	—	53	1	no	—
1323	C₂²⋊Q₈	—	53	1	no	—
1324	C₂²⋊Q₈	—	53	1	no	—
1325	C₂²⋊Q₈	—	53	1	no	—
1326	C₂²⋊Q₈	—	53	1	no	—
1327	C₂²⋊Q₈	—	53	1	no	—
1328	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1329	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1330	#120	—	53	1	no	—
1331	#120	—	53	1	no	—
1332	#120	—	53	1	no	—
1333	#120	—	53	1	no	—
1334	#120	—	53	1	no	—
1335	#120	—	53	1	no	—
1336	#120	—	53	1	no	—
1337	#120	C₂×#6157	1	1	yes	characteristic
1338	C₄×Q₈	—	212	2	no	—
1339	C₄×D₄	—	53	1	no	—
1340	C₄×D₄	—	53	1	no	—
1341	C₄×D₄	—	53	1	no	—
1342	C₄×D₄	—	53	1	no	—
1343	C₄×D₄	—	53	1	no	—
1344	C₄×D₄	—	53	1	no	—
1345	C₄×D₄	—	53	1	no	—
1346	C₄×D₄	—	53	1	no	—
1347	C₄×D₄	—	53	1	no	—
1348	C₄×D₄	—	53	1	no	—
1349	C₄×D₄	—	53	1	no	—
1350	C₄×D₄	—	53	1	no	—
1351	C₄×D₄	—	53	1	no	—
1352	C₄×D₄	—	53	1	no	—
1353	C₄×D₄	—	212	2	no	—
1354	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1355	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1356	#117	—	53	1	no	—
1357	#117	—	53	1	no	—
1358	#117	—	53	1	no	—
1359	#117	—	53	1	no	—
1360	#117	—	53	1	no	—
1361	#117	—	53	1	no	—
1362	#117	—	53	1	no	—
1363	#117	—	53	1	no	—
1364	#117	—	53	1	no	—
1365	#117	—	53	1	no	—
1366	#117	—	53	1	no	—
1367	#117	—	53	1	no	—
1368	#117	—	53	1	no	—
1369	#117	—	53	1	no	—
1370	#117	—	212	2	no	—
1371	#117	—	212	2	no	—
1372	#117	—	212	2	no	—
1373	#117	C₂×#6157	1	1	yes	characteristic, complemented
1374	#117	C₂×#6157	1	1	yes	characteristic, complemented
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	—	53	1	no	—
1377	C₂×C₄⋊C₄	—	53	1	no	—
1378	C₂×C₄⋊C₄	—	53	1	no	—
1379	C₂×C₄⋊C₄	—	53	1	no	—
1380	C₂×C₄⋊C₄	—	53	1	no	—
1381	C₂×C₄⋊C₄	—	53	1	no	—
1382	C₂×C₄⋊C₄	—	53	1	no	—
1383	C₂×C₄⋊C₄	—	53	1	no	—
1384	C₂×C₄⋊C₄	—	53	1	no	—
1385	C₂×C₄⋊C₄	—	53	1	no	—
1386	C₂×C₄⋊C₄	—	53	1	no	—
1387	C₂×C₄⋊C₄	—	53	1	no	—
1388	C₂×C₄⋊C₄	—	53	1	no	—
1389	C₂×C₄⋊C₄	—	53	1	no	—
1390	C₂×C₄⋊C₄	—	53	1	no	—
1391	C₂×C₄⋊C₄	—	53	1	no	—
1392	C₂×C₄⋊C₄	—	53	1	no	—
1393	C₂×C₄⋊C₄	—	53	1	no	—
1394	C₂×C₄⋊C₄	—	53	1	no	—
1395	C₂×C₄⋊C₄	—	53	1	no	—
1396	C₂×C₄⋊C₄	—	53	1	no	—
1397	C₂×C₄⋊C₄	—	53	1	no	—
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×C₂²⋊C₄	—	53	1	no	—
1406	C₂×C₂²⋊C₄	—	53	1	no	—
1407	C₂×C₂²⋊C₄	—	53	1	no	—
1408	C₂×C₂²⋊C₄	—	53	1	no	—
1409	C₂×C₂²⋊C₄	—	53	1	no	—
1410	C₂×C₂²⋊C₄	—	53	1	no	—
1411	C₂×C₂²⋊C₄	—	53	1	no	—
1412	C₂×C₂²⋊C₄	—	53	1	no	—
1413	C₂×C₂²⋊C₄	—	53	1	no	—
1414	C₂×C₂²⋊C₄	—	53	1	no	—
1415	C₂×C₂²⋊C₄	—	53	1	no	—
1416	C₂×C₂²⋊C₄	—	53	1	no	—
1417	C₂×C₂²⋊C₄	—	53	1	no	—
1418	C₂×C₂²⋊C₄	—	53	1	no	—
1419	C₂×C₂²⋊C₄	—	53	1	no	—
1420	C₂×C₂²⋊C₄	—	53	1	no	—
1421	C₂×C₂²⋊C₄	—	53	1	no	—
1422	C₂×C₂²⋊C₄	—	53	1	no	—
1423	C₂×C₂²⋊C₄	—	53	1	no	—
1424	C₂×C₂²⋊C₄	—	53	1	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	—	212	2	no	—
1462	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1463	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1464	C₂×C₄²	—	53	1	no	—
1465	C₂×C₄²	—	53	1	no	—
1466	C₂×C₄²	—	53	1	no	—
1467	C₂×C₄²	—	53	1	no	—
1468	C₂×C₄²	—	53	1	no	—
1469	C₂×C₄²	—	53	1	no	—
1470	C₂×C₄²	—	53	1	no	—
1471	C₂×C₄²	—	53	1	no	—
1472	C₂×C₄²	—	53	1	no	—
1473	C₂×C₄²	—	53	1	no	—
1474	C₂×C₄²	—	53	1	no	—
1475	C₂×C₄²	—	53	1	no	—
1476	C₂×C₄²	—	53	1	no	—
1477	C₂×C₄²	—	53	1	no	—
1478	C₂×C₄²	—	53	1	no	—
1479	C₂×C₄²	—	53	1	no	—
1480	C₂×C₄²	—	53	1	no	—
1481	C₂×C₄²	—	53	1	no	—
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	#95	—	53	1	no	—
1490	#95	—	53	1	no	—
1491	#95	—	53	1	no	—
1492	#95	—	53	1	no	—
1493	#95	—	53	1	no	—
1494	#95	—	53	1	no	—
1495	#95	—	53	1	no	—
1496	#95	—	53	1	no	—
1497	#95	—	53	1	no	—
1498	#95	—	53	1	no	—
1499	#95	—	53	1	no	—
1500	#95	—	53	1	no	—
1501	#95	—	53	1	no	—
1502	#95	—	53	1	no	—
1503	#95	—	53	1	no	—
1504	#95	—	53	1	no	—
1505	#95	—	53	1	no	—
1506	#95	—	53	1	no	—
1507	#95	—	53	1	no	—
1508	#95	—	53	1	no	—
1509	#95	—	53	1	no	—
1510	#95	—	53	1	no	—
1511	#95	—	53	1	no	—
1512	#95	—	53	1	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	C₂⁴	—	53	1	no	—
1534	C₂⁴	—	53	1	no	—
1535	C₂⁴	—	53	1	no	—
1536	C₂⁴	—	53	1	no	—
1537	C₂⁴	—	53	1	no	—
1538	C₂⁴	—	53	1	no	—
1539	C₂⁴	—	53	1	no	—
1540	C₂⁴	—	212	1	no	—
1541	C₂⁴	—	212	1	no	—
1542	C₂⁴	—	212	1	no	—
1543	C₂⁴	—	212	1	no	—
1544	C₂⁴	—	212	1	no	—
1545	C₂⁴	—	212	1	no	—
1546	C₂⁴	C₂²×#6157	1	1	yes	characteristic
1547	C₂×Q₈	—	53	1	no	—
1548	C₂×Q₈	—	53	1	no	—
1549	C₂×Q₈	—	53	1	no	—
1550	C₂×Q₈	—	212	1	no	—
1551	C₂×Q₈	—	212	1	no	—
1552	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1553	C₂×D₄	—	53	1	no	—
1554	C₂×D₄	—	53	1	no	—
1555	C₂×D₄	—	53	1	no	—
1556	C₂×D₄	—	53	1	no	—
1557	C₂×D₄	—	53	1	no	—
1558	C₂×D₄	—	53	1	no	—
1559	C₂×D₄	—	53	1	no	—
1560	C₂×D₄	—	53	1	no	—
1561	C₂×D₄	—	53	1	no	—
1562	C₂×D₄	—	212	1	no	—
1563	C₂×D₄	—	212	1	no	—
1564	C₂×D₄	—	212	1	no	—
1565	C₂×D₄	—	212	1	no	—
1566	C₂×D₄	—	212	1	no	—
1567	C₂×D₄	—	212	1	no	—
1568	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1569	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1570	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1571	C₂²×C₄	—	53	1	no	—
1572	C₂²×C₄	—	53	1	no	—
1573	C₂²×C₄	—	53	1	no	—
1574	C₂²×C₄	—	53	1	no	—
1575	C₂²×C₄	—	53	1	no	—
1576	C₂²×C₄	—	53	1	no	—
1577	C₂²×C₄	—	53	1	no	—
1578	C₂²×C₄	—	53	1	no	—
1579	C₂²×C₄	—	53	1	no	—
1580	C₂²×C₄	—	53	1	no	—
1581	C₂²×C₄	—	53	1	no	—
1582	C₂²×C₄	—	53	1	no	—
1583	C₂²×C₄	—	53	1	no	—
1584	C₂²×C₄	—	53	1	no	—
1585	C₂²×C₄	—	53	1	no	—
1586	C₂²×C₄	—	53	1	no	—
1587	C₂²×C₄	—	53	1	no	—
1588	C₂²×C₄	—	53	1	no	—
1589	C₂²×C₄	—	53	1	no	—
1590	C₂²×C₄	—	53	1	no	—
1591	C₂²×C₄	—	53	1	no	—
1592	C₂²×C₄	—	53	1	no	—
1593	C₂²×C₄	—	53	1	no	—
1594	C₂²×C₄	—	53	1	no	—
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	1	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	—	106	2	no	—
1614	C₂²×C₄	—	212	1	no	—
1615	C₂²×C₄	—	212	1	no	—
1616	C₂²×C₄	—	212	1	no	—
1617	C₂²×C₄	—	212	1	no	—
1618	C₂²×C₄	—	212	1	no	—
1619	C₂²×C₄	—	212	1	no	—
1620	C₂²×C₄	—	212	1	no	—
1621	C₂²×C₄	—	212	1	no	—
1622	C₂²×C₄	—	212	1	no	—
1623	C₂²×C₄	—	212	1	no	—
1624	C₂²×C₄	—	212	1	no	—
1625	C₂²×C₄	—	212	1	no	—
1626	C₂²×C₄	—	212	1	no	—
1627	C₂²×C₄	—	212	1	no	—
1628	C₂²×C₄	—	212	1	no	—
1629	C₂²×C₄	—	212	1	no	—
1630	C₂²×C₄	—	212	1	no	—
1631	C₂²×C₄	—	212	1	no	—
1632	C₂²×C₄	—	212	1	no	—
1633	C₂²×C₄	—	212	1	no	—
1634	C₂²×C₄	—	212	1	no	—
1635	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1636	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1637	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1638	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1639	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1640	C₄⋊C₄	—	53	1	no	—
1641	C₄⋊C₄	—	53	1	no	—
1642	C₄⋊C₄	—	53	1	no	—
1643	C₄⋊C₄	—	53	1	no	—
1644	C₄⋊C₄	—	53	1	no	—
1645	C₄⋊C₄	—	53	1	no	—
1646	C₄⋊C₄	—	53	1	no	—
1647	C₄⋊C₄	—	53	1	no	—
1648	C₄⋊C₄	—	53	1	no	—
1649	C₄⋊C₄	—	53	1	no	—
1650	C₄⋊C₄	—	53	1	no	—
1651	C₄⋊C₄	—	53	1	no	—
1652	C₄⋊C₄	—	53	1	no	—
1653	C₄⋊C₄	—	53	1	no	—
1654	C₄⋊C₄	—	53	1	no	—
1655	C₄⋊C₄	—	53	1	no	—
1656	C₄⋊C₄	—	53	1	no	—
1657	C₄⋊C₄	—	53	1	no	—
1658	C₄⋊C₄	—	53	1	no	—
1659	C₄⋊C₄	—	53	1	no	—
1660	C₄⋊C₄	—	53	1	no	—
1661	C₄⋊C₄	—	53	1	no	—
1662	C₄⋊C₄	—	53	1	no	—
1663	C₄⋊C₄	—	53	1	no	—
1664	C₄⋊C₄	—	106	2	no	—
1665	C₄⋊C₄	—	106	2	no	—
1666	C₄⋊C₄	—	106	2	no	—
1667	C₄⋊C₄	—	212	1	no	—
1668	C₄⋊C₄	—	212	1	no	—
1669	C₄⋊C₄	—	212	1	no	—
1670	C₄⋊C₄	—	212	1	no	—
1671	C₄⋊C₄	—	212	1	no	—
1672	C₄⋊C₄	—	212	1	no	—
1673	C₄⋊C₄	—	212	1	no	—
1674	C₄⋊C₄	—	212	1	no	—
1675	C₄⋊C₄	—	212	1	no	—
1676	C₄⋊C₄	—	212	1	no	—
1677	C₄⋊C₄	—	212	1	no	—
1678	C₄⋊C₄	—	212	1	no	—
1679	C₄⋊C₄	—	212	1	no	—
1680	C₄⋊C₄	—	212	1	no	—
1681	C₄⋊C₄	—	212	1	no	—
1682	C₄⋊C₄	—	212	1	no	—
1683	C₄⋊C₄	—	212	1	no	—
1684	C₄⋊C₄	—	212	1	no	—
1685	C₄⋊C₄	—	212	1	no	—
1686	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1687	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1688	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1689	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1690	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1691	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1692	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1693	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1694	C₂²⋊C₄	—	53	1	no	—
1695	C₂²⋊C₄	—	53	1	no	—
1696	C₂²⋊C₄	—	53	1	no	—
1697	C₂²⋊C₄	—	53	1	no	—
1698	C₂²⋊C₄	—	53	1	no	—
1699	C₂²⋊C₄	—	53	1	no	—
1700	C₂²⋊C₄	—	53	1	no	—
1701	C₂²⋊C₄	—	53	1	no	—
1702	C₂²⋊C₄	—	53	1	no	—
1703	C₂²⋊C₄	—	53	1	no	—
1704	C₂²⋊C₄	—	53	1	no	—
1705	C₂²⋊C₄	—	53	1	no	—
1706	C₂²⋊C₄	—	53	1	no	—
1707	C₂²⋊C₄	—	53	1	no	—
1708	C₂²⋊C₄	—	53	1	no	—
1709	C₂²⋊C₄	—	53	1	no	—
1710	C₂²⋊C₄	—	53	1	no	—
1711	C₂²⋊C₄	—	53	1	no	—
1712	C₂²⋊C₄	—	53	1	no	—
1713	C₂²⋊C₄	—	53	1	no	—
1714	C₂²⋊C₄	—	53	1	no	—
1715	C₂²⋊C₄	—	53	1	no	—
1716	C₂²⋊C₄	—	53	1	no	—
1717	C₂²⋊C₄	—	53	1	no	—
1718	C₂²⋊C₄	—	53	1	no	—
1719	C₂²⋊C₄	—	53	1	no	—
1720	C₂²⋊C₄	—	53	1	no	—
1721	C₂²⋊C₄	—	53	1	no	—
1722	C₂²⋊C₄	—	53	1	no	—
1723	C₂²⋊C₄	—	53	1	no	—
1724	C₂²⋊C₄	—	53	1	no	—
1725	C₂²⋊C₄	—	53	1	no	—
1726	C₂²⋊C₄	—	53	1	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	—	106	2	no	—
1737	C₂²⋊C₄	—	106	2	no	—
1738	C₂²⋊C₄	—	106	2	no	—
1739	C₂²⋊C₄	—	212	1	no	—
1740	C₂²⋊C₄	—	212	1	no	—
1741	C₂²⋊C₄	—	212	1	no	—
1742	C₂²⋊C₄	—	212	1	no	—
1743	C₂²⋊C₄	—	212	1	no	—
1744	C₂²⋊C₄	—	212	1	no	—
1745	C₂²⋊C₄	—	212	1	no	—
1746	C₂²⋊C₄	—	212	1	no	—
1747	C₂²⋊C₄	—	212	1	no	—
1748	C₂²⋊C₄	—	212	1	no	—
1749	C₂²⋊C₄	—	212	1	no	—
1750	C₂²⋊C₄	—	212	1	no	—
1751	C₂²⋊C₄	—	212	1	no	—
1752	C₂²⋊C₄	—	212	1	no	—
1753	C₂²⋊C₄	—	212	1	no	—
1754	C₂²⋊C₄	—	212	1	no	—
1755	C₂²⋊C₄	—	212	1	no	—
1756	C₂²⋊C₄	—	212	1	no	—
1757	C₂²⋊C₄	—	212	1	no	—
1758	C₂²⋊C₄	—	212	1	no	—
1759	C₂²⋊C₄	—	212	1	no	—
1760	C₂²⋊C₄	—	212	1	no	—
1761	C₂²⋊C₄	—	212	1	no	—
1762	C₂²⋊C₄	—	212	1	no	—
1763	C₂²⋊C₄	—	212	1	no	—
1764	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1765	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1766	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1767	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1768	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1769	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1770	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1771	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1772	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1773	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1774	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1775	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1776	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1777	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1778	C₄²	—	53	1	no	—
1779	C₄²	—	53	1	no	—
1780	C₄²	—	53	1	no	—
1781	C₄²	—	53	1	no	—
1782	C₄²	—	53	1	no	—
1783	C₄²	—	53	1	no	—
1784	C₄²	—	53	1	no	—
1785	C₄²	—	53	1	no	—
1786	C₄²	—	53	1	no	—
1787	C₄²	—	106	2	no	—
1788	C₄²	—	106	2	no	—
1789	C₄²	—	212	1	no	—
1790	C₄²	—	212	1	no	—
1791	C₄²	—	212	1	no	—
1792	C₄²	—	212	1	no	—
1793	C₄²	—	212	1	no	—
1794	C₄²	—	212	1	no	—
1795	C₄²	—	212	1	no	—
1796	C₄²	—	212	1	no	—
1797	C₄²	—	212	1	no	—
1798	C₄²	—	212	1	no	—
1799	C₄²	—	212	1	no	—
1800	C₄²	—	212	1	no	—
1801	C₄²	—	212	1	no	—
1802	C₄²	—	212	1	no	—
1803	C₄²	—	212	1	no	—
1804	C₄²	—	212	1	no	—
1805	C₄²	—	212	1	no	—
1806	C₄²	—	212	1	no	—
1807	C₄²	—	212	1	no	—
1808	C₄²	—	212	1	no	—
1809	C₄²	C₂²×#6157	1	1	yes	characteristic
1810	C₄²	C₂²×#6157	1	1	yes	characteristic
1811	C₄²	C₂²×#6157	1	1	yes	characteristic
1812	C₂³	—	4	1	no	—
1813	C₂³	—	4	1	no	—
1814	C₂³	—	4	1	no	—
1815	C₂³	—	53	1	no	—
1816	C₂³	—	53	1	no	—
1817	C₂³	—	53	1	no	—
1818	C₂³	—	53	1	no	—
1819	C₂³	—	53	1	no	—
1820	C₂³	—	106	1	no	—
1821	C₂³	—	106	1	no	—
1822	C₂³	—	106	1	no	—
1823	C₂³	—	106	1	no	—
1824	C₂³	—	106	1	no	—
1825	C₂³	—	106	1	no	—
1826	C₂³	—	106	1	no	—
1827	C₂³	—	106	1	no	—
1828	C₂³	—	106	1	no	—
1829	C₂³	—	106	1	no	—
1830	C₂³	—	106	1	no	—
1831	C₂³	—	106	1	no	—
1832	C₂³	—	106	1	no	—
1833	C₂³	—	106	1	no	—
1834	C₂³	—	106	1	no	—
1835	C₂³	—	106	1	no	—
1836	C₂³	—	106	1	no	—
1837	C₂³	—	106	1	no	—
1838	C₂³	—	106	1	no	—
1839	C₂³	—	106	1	no	—
1840	C₂³	—	106	1	no	—
1841	C₂³	—	106	1	no	—
1842	C₂³	—	106	1	no	—
1843	C₂³	—	106	1	no	—
1844	C₂³	—	424	2	no	—
1845	C₂³	—	424	2	no	—
1846	C₂³	—	424	2	no	—
1847	C₂³	—	424	2	no	—
1848	C₂³	—	212	1	no	—
1849	C₂³	—	212	1	no	—
1850	C₂³	—	212	1	no	—
1851	C₂³	—	212	1	no	—
1852	C₂³	—	212	1	no	—
1853	C₂³	—	212	1	no	—
1854	C₂³	—	212	1	no	—
1855	C₂³	—	212	1	no	—
1856	C₂³	—	212	1	no	—
1857	C₂³	C₂³×#6157	1	1	yes	characteristic
1858	C₂³	C₂³×#6157	1	1	yes	characteristic
1859	C₂³	C₂³×#6157	1	1	yes	characteristic
1860	C₂³	C₂³×#6157	1	1	yes	characteristic
1861	Q₈	—	4	1	no	—
1862	Q₈	—	212	1	no	—
1863	Q₈	—	212	1	no	—
1864	Q₈	—	212	1	no	—
1865	D₄	—	4	1	no	—
1866	D₄	—	4	1	no	—
1867	D₄	—	4	1	no	—
1868	D₄	—	212	1	no	—
1869	D₄	—	212	1	no	—
1870	D₄	—	212	1	no	—
1871	D₄	—	212	1	no	—
1872	D₄	—	212	1	no	—
1873	D₄	—	212	1	no	—
1874	D₄	—	212	1	no	—
1875	D₄	—	212	1	no	—
1876	D₄	—	212	1	no	—
1877	C₂×C₄	—	4	1	no	—
1878	C₂×C₄	—	4	1	no	—
1879	C₂×C₄	—	4	1	no	—
1880	C₂×C₄	—	4	1	no	—
1881	C₂×C₄	—	4	1	no	—
1882	C₂×C₄	—	53	2	no	—
1883	C₂×C₄	—	53	1	no	—
1884	C₂×C₄	—	53	1	no	—
1885	C₂×C₄	—	53	1	no	—
1886	C₂×C₄	—	53	1	no	—
1887	C₂×C₄	—	53	1	no	—
1888	C₂×C₄	—	53	1	no	—
1889	C₂×C₄	—	53	1	no	—
1890	C₂×C₄	—	53	1	no	—
1891	C₂×C₄	—	53	1	no	—
1892	C₂×C₄	—	53	1	no	—
1893	C₂×C₄	—	53	1	no	—
1894	C₂×C₄	—	106	1	no	—
1895	C₂×C₄	—	106	1	no	—
1896	C₂×C₄	—	106	1	no	—
1897	C₂×C₄	—	106	1	no	—
1898	C₂×C₄	—	106	1	no	—
1899	C₂×C₄	—	106	1	no	—
1900	C₂×C₄	—	106	1	no	—
1901	C₂×C₄	—	106	1	no	—
1902	C₂×C₄	—	106	1	no	—
1903	C₂×C₄	—	106	1	no	—
1904	C₂×C₄	—	106	1	no	—
1905	C₂×C₄	—	106	1	no	—
1906	C₂×C₄	—	106	1	no	—
1907	C₂×C₄	—	106	1	no	—
1908	C₂×C₄	—	106	1	no	—
1909	C₂×C₄	—	106	1	no	—
1910	C₂×C₄	—	106	1	no	—
1911	C₂×C₄	—	106	1	no	—
1912	C₂×C₄	—	106	1	no	—
1913	C₂×C₄	—	106	1	no	—
1914	C₂×C₄	—	106	1	no	—
1915	C₂×C₄	—	106	1	no	—
1916	C₂×C₄	—	106	1	no	—
1917	C₂×C₄	—	106	1	no	—
1918	C₂×C₄	—	106	1	no	—
1919	C₂×C₄	—	106	1	no	—
1920	C₂×C₄	—	106	1	no	—
1921	C₂×C₄	—	106	1	no	—
1922	C₂×C₄	—	106	1	no	—
1923	C₂×C₄	—	106	1	no	—
1924	C₂×C₄	—	106	1	no	—
1925	C₂×C₄	—	106	1	no	—
1926	C₂×C₄	—	106	1	no	—
1927	C₂×C₄	—	106	1	no	—
1928	C₂×C₄	—	106	1	no	—
1929	C₂×C₄	—	106	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	1	no	—
1953	C₂×C₄	—	106	1	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	—	424	2	no	—
1964	C₂×C₄	—	424	2	no	—
1965	C₂×C₄	—	424	2	no	—
1966	C₂×C₄	—	424	2	no	—
1967	C₂×C₄	—	212	1	no	—
1968	C₂×C₄	—	212	1	no	—
1969	C₂×C₄	—	212	1	no	—
1970	C₂×C₄	—	212	1	no	—
1971	C₂×C₄	—	212	1	no	—
1972	C₂×C₄	—	212	1	no	—
1973	C₂×C₄	—	212	1	no	—
1974	C₂×C₄	—	212	1	no	—
1975	C₂×C₄	—	212	1	no	—
1976	C₂×C₄	—	212	1	no	—
1977	C₂×C₄	—	212	1	no	—
1978	C₂×C₄	—	212	1	no	—
1979	C₂×C₄	—	212	1	no	—
1980	C₂×C₄	—	212	1	no	—
1981	C₂×C₄	—	212	1	no	—
1982	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1983	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1984	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1985	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1986	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1987	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1988	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1989	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1990	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1991	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1992	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1993	C₂²	—	2	1	no	—
1994	C₂²	—	2	1	no	—
1995	C₂²	—	2	1	no	—
1996	C₂²	—	2	1	no	—
1997	C₂²	—	2	1	no	—
1998	C₂²	—	2	1	no	—
1999	C₂²	—	2	1	no	—
2000	C₂²	—	2	1	no	—
2001	C₂²	—	2	1	no	—
2002	C₂²	—	2	1	no	—
2003	C₂²	—	2	1	no	—
2004	C₂²	—	2	1	no	—
2005	C₂²	—	8	2	no	—
2006	C₂²	—	53	1	no	—
2007	C₂²	—	53	1	no	—
2008	C₂²	—	53	1	no	—
2009	C₂²	—	53	1	no	—
2010	C₂²	—	53	1	no	—
2011	C₂²	—	53	1	no	—
2012	C₂²	—	106	1	no	—
2013	C₂²	—	106	1	no	—
2014	C₂²	—	106	1	no	—
2015	C₂²	—	106	1	no	—
2016	C₂²	—	106	1	no	—
2017	C₂²	—	106	1	no	—
2018	C₂²	—	106	1	no	—
2019	C₂²	—	106	1	no	—
2020	C₂²	—	106	1	no	—
2021	C₂²	—	106	1	no	—
2022	C₂²	—	106	1	no	—
2023	C₂²	—	106	1	no	—
2024	C₂²	—	424	2	no	—
2025	C₂²	—	424	2	no	—
2026	C₂²	—	424	2	no	—
2027	C₂²	—	212	1	no	—
2028	C₂²	—	212	1	no	—
2029	C₂²	—	212	1	no	—
2030	C₂²	—	212	1	no	—
2031	C₂²	—	212	1	no	—
2032	C₂²	—	212	1	no	—
2033	C₂²	—	212	1	no	—
2034	C₂²	—	212	1	no	—
2035	C₂²	—	212	1	no	—
2036	C₂²	—	212	1	no	—
2037	C₂²	—	212	1	no	—
2038	C₂²	—	212	1	no	—
2039	C₂²	—	212	1	no	—
2040	C₂²	—	212	1	no	—
2041	C₂²	—	212	1	no	—
2042	C₂²	—	212	1	no	—
2043	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2044	C₄	—	2	1	no	—
2045	C₄	—	2	1	no	—
2046	C₄	—	2	1	no	—
2047	C₄	—	2	1	no	—
2048	C₄	—	2	1	no	—
2049	C₄	—	2	1	no	—
2050	C₄	—	2	1	no	—
2051	C₄	—	2	1	no	—
2052	C₄	—	2	1	no	—
2053	C₄	—	2	1	no	—
2054	C₄	—	2	1	no	—
2055	C₄	—	106	2	no	—
2056	C₄	—	106	1	no	—
2057	C₄	—	106	1	no	—
2058	C₄	—	106	1	no	—
2059	C₄	—	106	1	no	—
2060	C₄	—	106	1	no	—
2061	C₄	—	106	1	no	—
2062	C₄	—	106	1	no	—
2063	C₄	—	106	1	no	—
2064	C₄	—	106	1	no	—
2065	C₄	—	106	1	no	—
2066	C₄	—	106	1	no	—
2067	C₄	—	212	1	no	—
2068	C₄	—	212	1	no	—
2069	C₄	—	212	1	no	—
2070	C₄	—	212	1	no	—
2071	C₄	—	212	1	no	—
2072	C₄	—	212	1	no	—
2073	C₄	—	212	1	no	—
2074	C₄	—	212	1	no	—
2075	C₄	—	212	1	no	—
2076	C₄	—	212	1	no	—
2077	C₄	—	212	1	no	—
2078	C₄	—	212	1	no	—
2079	C₄	—	212	1	no	—
2080	C₄	—	212	1	no	—
2081	C₄	—	212	1	no	—
2082	C₂	—	4	1	no	—
2083	C₂	—	4	1	no	—
2084	C₂	—	4	1	no	—
2085	C₂	—	4	1	no	—
2086	C₂	—	53	1	no	—
2087	C₂	—	53	1	no	—
2088	C₂	—	53	1	no	—
2089	C₂	—	53	1	no	—
2090	C₂	—	212	1	no	—
2091	C₂	—	212	1	no	—
2092	C₂	—	212	1	no	—
2093	C₂	—	212	1	no	—
2094	C₂	#20291695	1	1	yes	characteristic
2095	C₂	#20291695	1	1	yes	characteristic
2096	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	#34504
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. #20291262	C₂	semidirect
2. #20291257	C₂	semidirect
3. #20291255	C₂	semidirect
5. #20291253	C₂	semidirect
6. #20291252	C₂	semidirect
7. #20291246	C₂	semidirect
8. #20291241	C₂	semidirect
9. #20291238	C₂	semidirect
10. #20291233	C₂	semidirect
11. #20291232	C₂	semidirect
12. #20291226	C₂	semidirect
13. #20291226	C₂	semidirect
14. #20291221	C₂	semidirect
15. #20291221	C₂	semidirect
16. #20291216	C₂	semidirect
17. #20291214	C₂	semidirect
18. #20291214	C₂	semidirect
19. #20291214	C₂	semidirect
20. #20291213	C₂	semidirect
21. #20291211	C₂	semidirect
22. #20291202	C₂	semidirect
24. #20291197	C₂	semidirect
25. #20291193	C₂	semidirect
26. #20291191	C₂	semidirect
27. #20291191	C₂	semidirect
28. #126×#6157	C₂	semidirect
29. #20291177	C₂	semidirect
30. #20291172	C₂	semidirect
32. C₂×Q₈×#6157	C₂²	semidirect
36. C₂×#13133296	C₂²	semidirect
38. (C₂×#6157)⋊Q₈	C₂²	semidirect
39. (C₂×#6157)⋊Q₈	C₂²	semidirect
40. (C₂×#6157)⋊Q₈	C₂²	semidirect
46. #16811574	C₂²	semidirect
47. #16811574	C₂²	semidirect
48. #16811574	C₂²	semidirect
49. #16811574	C₂²	semidirect
50. #16811574	C₂²	semidirect
51. #16811574	C₂²	semidirect
52. #16811574	C₂²	semidirect
53. #16811574	C₂²	semidirect
88. #16811573	C₂²	semidirect
89. #16811573	C₂²	semidirect
90. #16811573	C₂²	semidirect
91. #16811573	C₂²	semidirect
92. #16811573	C₂²	semidirect
93. #16811573	C₂²	semidirect
94. #16811572	C₂²	semidirect
95. #16811572	C₂²	semidirect
96. #16811572	C₂²	semidirect
97. #16811572	C₂²	semidirect
98. #16811572	C₂²	semidirect
99. #16811572	C₂²	semidirect
100. #16811572	C₂²	semidirect
101. #16811572	C₂²	semidirect
102. #16811572	C₂²	semidirect
103. #16811572	C₂²	semidirect
104. #16811572	C₂²	semidirect
105. #16811572	C₂²	semidirect
106. #16811572	C₂²	semidirect
107. #16811572	C₂²	semidirect
108. #16811572	C₂²	semidirect
109. #16811572	C₂²	semidirect
121. #16811570	C₂²	semidirect
122. #16811570	C₂²	semidirect
123. #16811570	C₂²	semidirect
124. #16811569	C₂²	semidirect
125. #16811568	C₂²	semidirect
126. #16811568	C₂²	semidirect
127. #16811568	C₂²	semidirect
128. #16811567	C₂²	semidirect
137. #16811565	C₂²	semidirect
141. C₄⋊C₄×#6157	C₂²	semidirect
142. C₄⋊C₄×#6157	C₂²	semidirect
143. C₄⋊C₄×#6157	C₂²	semidirect
144. C₄⋊C₄×#6157	C₂²	semidirect
145. C₄⋊C₄×#6157	C₂²	semidirect
146. C₄⋊C₄×#6157	C₂²	semidirect
147. C₄⋊C₄×#6157	C₂²	semidirect
148. C₄⋊C₄×#6157	C₂²	semidirect
149. C₄×C₄⋊#6157	C₂²	semidirect
150. C₄×C₄⋊#6157	C₂²	semidirect
151. C₄×C₄⋊#6157	C₂²	semidirect
152. C₄×C₄⋊#6157	C₂²	semidirect
153. C₄×C₄⋊#6157	C₂²	semidirect
159. C₂²⋊C₄×#6157	C₂²	semidirect
160. C₂²⋊C₄×#6157	C₂²	semidirect
161. C₂²⋊C₄×#6157	C₂²	semidirect
168. C₄×C₂²⋊#6157	C₂²	semidirect
169. #16811559	C₂²	semidirect
170. C₂×(C₂×#6157)⋊C₄	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
339. #13133212	C₂×C₄	semidirect
340. #13133212	C₂×C₄	semidirect
341. #13133212	C₂×C₄	semidirect
342. #13133212	C₂×C₄	semidirect
343. #13133212	C₂×C₄	semidirect
344. #13133212	C₂×C₄	semidirect
345. #13133211	C₂×C₄	semidirect
346. #13133211	C₂×C₄	semidirect
347. #13133210	C₂×C₄	semidirect
348. #13133210	C₂×C₄	semidirect
349. #13133210	C₂×C₄	semidirect
350. #13133210	C₂×C₄	semidirect
351. #13133210	C₂×C₄	semidirect
352. #13133210	C₂×C₄	semidirect
362. #13133202	C₂×C₄	semidirect
363. #13133202	C₂×C₄	semidirect
364. #13133202	C₂×C₄	semidirect
365. #13133202	C₂×C₄	semidirect
367. #13133201	C₂×C₄	semidirect
368. #13133201	C₂×C₄	semidirect
370. #13133200	C₂×C₄	semidirect
371. #13133200	C₂×C₄	semidirect
374. #13133199	C₂×C₄	semidirect
375. #13133199	C₂×C₄	semidirect
376. #13133199	C₂×C₄	semidirect
377. #13133199	C₂×C₄	semidirect
379. #13133198	C₂×C₄	semidirect
380. #13133198	C₂×C₄	semidirect
381. #13133197	C₂×C₄	semidirect
382. #13133197	C₂×C₄	semidirect
383. #13133196	C₂×C₄	semidirect
384. #13133196	C₂×C₄	semidirect
385. #13133195	C₂×C₄	semidirect
386. #13133195	C₂×C₄	semidirect
387. #13133195	C₂×C₄	semidirect
388. #13133195	C₂×C₄	semidirect
389. #13133194	C₂×C₄	semidirect
390. #13133194	C₂×C₄	semidirect
391. #13133194	C₂×C₄	semidirect
392. #13133194	C₂×C₄	semidirect
393. #13133193	C₂×C₄	semidirect
394. #13133193	C₂×C₄	semidirect
402. C₄×D₂₁₂	C₂×C₄	semidirect
403. C₄×D₂₁₂	C₂×C₄	semidirect
404. D₄×Dic₅₃	C₂×C₄	semidirect
405. D₄×Dic₅₃	C₂×C₄	semidirect
406. #13133179	C₂×C₄	semidirect
407. #13133179	C₂×C₄	semidirect
408. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
409. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
410. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
411. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
412. #13133177	C₂×C₄	semidirect
413. #13133177	C₂×C₄	semidirect
414. #13133177	C₂×C₄	semidirect
415. #13133177	C₂×C₄	semidirect
416. #13133176	C₂×C₄	semidirect
417. #13133176	C₂×C₄	semidirect
418. #13133175	C₂×C₄	semidirect
419. #13133175	C₂×C₄	semidirect
420. #13133175	C₂×C₄	semidirect
421. #13133175	C₂×C₄	semidirect
422. #13133174	C₂×C₄	semidirect
423. #13133174	C₂×C₄	semidirect
424. #13133174	C₂×C₄	semidirect
425. #13133174	C₂×C₄	semidirect
426. #13133173	C₂×C₄	semidirect
427. #13133173	C₂×C₄	semidirect
428. #13133173	C₂×C₄	semidirect
429. #13133173	C₂×C₄	semidirect
438. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
439. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
440. C₂×#11719921	C₂×C₄	semidirect
441. C₂×#11719921	C₂×C₄	semidirect
442. C₂×#11719921	C₂×C₄	semidirect
443. C₂×#11719921	C₂×C₄	semidirect
444. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
445. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
446. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
447. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
448. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
449. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
450. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
451. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
469. #126×C₅₃	C₂×C₄	semidirect
470. #126×C₅₃	C₂×C₄	semidirect
473. #123×C₅₃	C₂×C₄	semidirect
474. #123×C₅₃	C₂×C₄	semidirect
475. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
476. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
478. C₄×D₄×C₅₃	C₂×C₄	semidirect
479. C₄×D₄×C₅₃	C₂×C₄	semidirect
480. #117×C₅₃	C₂×C₄	semidirect
481. #117×C₅₃	C₂×C₄	semidirect
482. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
483. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
1095. #551	#6157	semidirect
1251. C₅₃	#34504	semidirect
1280. #126	C₂×#6157	semidirect
1281. #126	C₂×#6157	semidirect
1312. #123	C₂×#6157	semidirect
1313. #123	C₂×#6157	semidirect
1328. C₂²⋊Q₈	C₂×#6157	semidirect
1329. C₂²⋊Q₈	C₂×#6157	semidirect
1354. C₄×D₄	C₂×#6157	semidirect
1355. C₄×D₄	C₂×#6157	semidirect
1373. #117	C₂×#6157	semidirect
1374. #117	C₂×#6157	semidirect
1462. C₂×C₂²⋊C₄	C₂×#6157	semidirect
1463. 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
#20291262	2
#20291257	2
#20291255	2
#20291254	2
#20291253	2
#20291252	2
#20291246	2
#20291241	2
#20291238	2
#20291233	2
#20291232	2
#20291226	2
#20291221	2
#20291216	2
#20291214	2
#20291213	2
#20291211	2
#20291202	2
#20291200	2
#20291197	2
#20291193	2
#20291191	2
#126×#6157	2
#20291177	2
#20291172	2
#551×D₅₃	2
#34504	53