Subgroups — #13561602

Order 1792.

1496 conjugacy classes of subgroups.

The subgroup lattice has 1330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2802	C₂	1	1	yes	maximal, characteristic, complemented
2	#11735787	C₂	1	1	yes	maximal, characteristic, complemented
3	#11735742	C₂	1	1	yes	maximal, characteristic, complemented
4	#11735732	C₂	1	1	yes	maximal, characteristic
5	#11735627	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735445	C₂	1	1	yes	maximal, characteristic
7	#11735426	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735404	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735335	C₂	1	1	yes	maximal, characteristic, complemented
10	#11735334	C₂	1	1	yes	maximal, characteristic, complemented
11	#11735291	C₂	1	1	yes	maximal, characteristic, complemented
12	#11735290	C₂	1	1	yes	maximal, characteristic, complemented
13	#11735259	C₂	1	1	yes	maximal, characteristic, complemented
14	#11733730	C₂	1	1	yes	maximal, characteristic, complemented
15	#11733727	C₂	1	1	yes	maximal, characteristic, complemented
16	#11733693	C₂	1	1	yes	maximal, characteristic, complemented
17	#11733669	C₂	1	1	yes	maximal, characteristic, complemented
18	#11733610	C₂	1	1	yes	maximal, characteristic, complemented
19	#11733582	C₂	1	1	yes	maximal, characteristic, complemented
20	#11733579	C₂	1	1	yes	maximal, characteristic
21	#11733564	C₂	1	1	yes	maximal, characteristic, complemented
22	#11733543	C₂	1	1	yes	maximal, characteristic, complemented
23	#11733414	C₂	1	1	yes	maximal, characteristic
24	#11732893	C₂	1	1	yes	maximal, characteristic, complemented
25	#11732867	C₂	1	1	yes	maximal, characteristic
26	#11732699	C₂	1	1	yes	maximal, characteristic, complemented
27	#11732657	C₂	1	1	yes	maximal, characteristic, complemented
28	#11732621	C₂	1	1	yes	maximal, characteristic, complemented
29	#11732578	C₂	1	1	yes	maximal, characteristic, complemented
30	#11732390	C₂	1	1	yes	maximal, characteristic
31	#11732382	C₂	1	1	yes	maximal, characteristic
32	C₂×#6459	C₂²	1	1	yes	characteristic
33	C₂×#6459	C₂²	1	1	yes	characteristic
34	C₂×#6456	C₂²	1	1	yes	characteristic
35	C₂×#6455	C₂²	1	1	yes	characteristic
36	C₂×#6453	C₂²	1	1	yes	characteristic
37	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
38	C₂×#6433	C₂²	1	1	yes	characteristic
39	C₇×#400	C₂²	1	1	yes	characteristic
40	C₇×#400	C₂²	1	1	yes	characteristic
41	C₇×#398	C₂²	1	1	yes	characteristic
42	C₇×#398	C₂²	1	1	yes	characteristic
43	C₇×#398	C₂²	1	1	yes	characteristic
44	C₇×#398	C₂²	1	1	yes	characteristic
45	C₇×#389	C₂²	1	1	yes	characteristic
46	C₇×#389	C₂²	1	1	yes	characteristic
47	C₇×#389	C₂²	1	1	yes	characteristic
48	C₇×#389	C₂²	1	1	yes	characteristic
49	C₇×#389	C₂²	1	1	yes	characteristic
50	C₇×#387	C₂²	1	1	yes	characteristic
51	C₇×#387	C₂²	1	1	yes	characteristic
52	C₇×#387	C₂²	1	1	yes	characteristic
53	C₇×#387	C₂²	1	1	yes	characteristic
54	#89766	C₂²	1	1	yes	characteristic
55	#89766	C₂²	1	1	yes	characteristic
56	#89766	C₂²	1	1	yes	characteristic
57	#89766	C₂²	1	1	yes	characteristic
58	#89766	C₂²	1	1	yes	characteristic
59	#89766	C₂²	1	1	yes	characteristic
60	#89766	C₂²	1	1	yes	characteristic
61	#89764	C₂²	1	1	yes	characteristic
62	#89764	C₂²	1	1	yes	characteristic
63	#89764	C₂²	1	1	yes	characteristic
64	#89764	C₂²	1	1	yes	characteristic
65	#89764	C₂²	1	1	yes	characteristic
66	#89762	C₂²	1	1	yes	characteristic
67	#89762	C₂²	1	1	yes	characteristic
68	#89761	C₂²	1	1	yes	characteristic
69	#89761	C₂²	1	1	yes	characteristic
70	#89761	C₂²	1	1	yes	characteristic
71	#89761	C₂²	1	1	yes	characteristic
72	#89761	C₂²	1	1	yes	characteristic
73	#89761	C₂²	1	1	yes	characteristic
74	#89760	C₂²	1	1	yes	characteristic
75	#89759	C₂²	1	1	yes	characteristic
76	#89759	C₂²	1	1	yes	characteristic
77	#89759	C₂²	1	1	yes	characteristic
78	#89759	C₂²	1	1	yes	characteristic
79	#89759	C₂²	1	1	yes	characteristic
80	#89758	C₂²	1	1	yes	characteristic
81	#89758	C₂²	1	1	yes	characteristic
82	#89757	C₂²	1	1	yes	characteristic
83	#89757	C₂²	1	1	yes	characteristic
84	#89756	C₂²	1	1	yes	characteristic
85	#89756	C₂²	1	1	yes	characteristic
86	#89756	C₂²	1	1	yes	characteristic
87	#89756	C₂²	1	1	yes	characteristic
88	#89756	C₂²	1	1	yes	characteristic
89	#89755	C₂²	1	1	yes	characteristic
90	#89755	C₂²	1	1	yes	characteristic
91	#89753	C₂²	1	1	yes	characteristic
92	#89753	C₂²	1	1	yes	characteristic
93	#89753	C₂²	1	1	yes	characteristic
94	#89753	C₂²	1	1	yes	characteristic
95	#89753	C₂²	1	1	yes	characteristic
96	#89752	C₂²	1	1	yes	characteristic
97	#89752	C₂²	1	1	yes	characteristic
98	#89751	C₂²	1	1	yes	characteristic
99	#89750	C₂²	1	1	yes	characteristic
100	#89750	C₂²	1	1	yes	characteristic
101	#89750	C₂²	1	1	yes	characteristic
102	#89749	C₂²	1	1	yes	characteristic
103	#89748	C₂²	1	1	yes	characteristic
104	#89748	C₂²	1	1	yes	characteristic
105	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
106	#89745	C₂²	1	1	yes	characteristic
107	#89745	C₂²	1	1	yes	characteristic
108	#89745	C₂²	1	1	yes	characteristic
109	#89744	C₂²	1	1	yes	characteristic
110	#89744	C₂²	1	1	yes	characteristic
111	#89744	C₂²	1	1	yes	characteristic
112	#89744	C₂²	1	1	yes	characteristic
113	#89712	C₂²	1	1	yes	characteristic
114	#89712	C₂²	1	1	yes	characteristic
115	#89711	C₂²	1	1	yes	characteristic
116	C₄×(C₂×D₇)⋊C₄	C₂²	1	1	yes	characteristic
117	#89705	C₂²	1	1	yes	characteristic
118	#89705	C₂²	1	1	yes	characteristic
119	#89704	C₂²	1	1	yes	characteristic
120	#89701	C₂²	1	1	yes	characteristic
121	#89700	C₂²	1	1	yes	characteristic
122	#89700	C₂²	1	1	yes	characteristic
123	#89449	C₂²	1	1	yes	characteristic
124	#89448	C₂²	1	1	yes	characteristic
125	#89448	C₂²	1	1	yes	characteristic
126	#89448	C₂²	1	1	yes	characteristic
127	#89442	C₂²	1	1	yes	characteristic
128	#89442	C₂²	1	1	yes	characteristic
129	#89441	C₂²	1	1	yes	characteristic
130	#89441	C₂²	1	1	yes	characteristic
131	#89440	C₂²	1	1	yes	characteristic
132	#89440	C₂²	1	1	yes	characteristic
133	#89440	C₂²	1	1	yes	characteristic
134	#89440	C₂²	1	1	yes	characteristic
135	#89440	C₂²	1	1	yes	characteristic
136	#89440	C₂²	1	1	yes	characteristic
137	#89440	C₂²	1	1	yes	characteristic
138	#89440	C₂²	1	1	yes	characteristic
139	#89439	C₂²	1	1	yes	characteristic
140	#89439	C₂²	1	1	yes	characteristic
141	#89438	C₂²	1	1	yes	characteristic
142	#89438	C₂²	1	1	yes	characteristic
143	#89437	C₂²	1	1	yes	characteristic
144	#89437	C₂²	1	1	yes	characteristic
145	#89437	C₂²	1	1	yes	characteristic
146	#89437	C₂²	1	1	yes	characteristic
147	#89436	C₂²	1	1	yes	characteristic
148	#89436	C₂²	1	1	yes	characteristic
149	#89436	C₂²	1	1	yes	characteristic
150	D₇×#95	C₂²	1	1	yes	characteristic
151	#89433	C₂²	1	1	yes	characteristic
152	#89433	C₂²	1	1	yes	characteristic
153	#89433	C₂²	1	1	yes	characteristic
154	#89433	C₂²	1	1	yes	characteristic
155	#89432	C₂²	1	1	yes	characteristic
156	#89431	C₂²	1	1	yes	characteristic
157	#89429	C₂²	1	1	yes	characteristic
158	#89429	C₂²	1	1	yes	characteristic
159	#89429	C₂²	1	1	yes	characteristic
160	#89429	C₂²	1	1	yes	characteristic
161	#89429	C₂²	1	1	yes	characteristic
162	#89429	C₂²	1	1	yes	characteristic
163	#89429	C₂²	1	1	yes	characteristic
164	#89428	C₂²	1	1	yes	characteristic
165	#89427	C₂²	1	1	yes	characteristic
166	#89427	C₂²	1	1	yes	characteristic
167	#89426	C₂²	1	1	yes	characteristic
168	#89426	C₂²	1	1	yes	characteristic
169	#89425	C₂²	1	1	yes	characteristic
170	#89425	C₂²	1	1	yes	characteristic
171	#89424	C₂²	1	1	yes	characteristic
172	#89424	C₂²	1	1	yes	characteristic
173	#89424	C₂²	1	1	yes	characteristic
174	#89424	C₂²	1	1	yes	characteristic
175	#89423	C₂²	1	1	yes	characteristic
176	#89422	C₂²	1	1	yes	characteristic
177	#89422	C₂²	1	1	yes	characteristic
178	#89421	C₂²	1	1	yes	characteristic
179	#89420	C₂²	1	1	yes	characteristic
180	#89419	C₂²	1	1	yes	characteristic
181	#89419	C₂²	1	1	yes	characteristic
182	#89419	C₂²	1	1	yes	characteristic
183	#89419	C₂²	1	1	yes	characteristic
184	#89419	C₂²	1	1	yes	characteristic
185	#89418	C₂²	1	1	yes	characteristic
186	#89418	C₂²	1	1	yes	characteristic
187	#36756	—	7	1	no	maximal, Sylow
188	C₂²×D₂₈	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
196	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
215	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
251	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₇⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
287	#6459	—	4	2	no	—
288	#6459	—	4	2	no	—
289	#6456	Q₈	1	8	yes	complemented
290	#6455	—	4	2	no	—
291	#6453	—	4	2	no	—
292	C₄²×D₇	—	4	2	no	—
293	#6433	—	4	2	no	—
294	C₇×#95	C₂³	1	1	yes	characteristic
295	C₇×#95	C₂³	1	1	yes	characteristic
296	C₇×#95	C₂³	1	1	yes	characteristic
297	C₇×#95	C₂³	1	1	yes	characteristic
298	C₇×#95	C₂³	1	1	yes	characteristic
299	C₇×#95	C₂³	1	1	yes	characteristic
300	C₇×#95	C₂³	1	1	yes	characteristic
301	C₇×#95	C₂³	1	1	yes	characteristic
302	C₇×#95	C₂³	1	1	yes	characteristic
303	C₇×#95	C₂³	1	1	yes	characteristic
304	C₇×#95	C₂³	1	1	yes	characteristic
305	C₇×#95	C₂³	1	1	yes	characteristic
306	C₇×#95	C₂³	1	1	yes	characteristic
307	C₇×#95	C₂³	1	1	yes	characteristic
308	C₇×#95	C₂³	1	1	yes	characteristic
309	C₇×#95	C₂³	1	1	yes	characteristic
310	C₇⋊#95	C₂³	1	1	yes	characteristic
311	C₇⋊#95	C₂³	1	1	yes	characteristic
312	C₇⋊#95	C₂³	1	1	yes	characteristic
313	C₇⋊#95	C₂³	1	1	yes	characteristic
314	C₇⋊#95	C₂³	1	1	yes	characteristic
315	C₇⋊#95	C₂³	1	1	yes	characteristic
316	C₇⋊#95	C₂³	1	1	yes	characteristic
317	C₇⋊#95	C₂³	1	1	yes	characteristic
318	C₇⋊#95	C₂³	1	1	yes	characteristic
319	C₇⋊#95	C₂³	1	1	yes	characteristic
320	C₇⋊#95	C₂³	1	1	yes	characteristic
321	C₇⋊#95	C₂³	1	1	yes	characteristic
322	C₇⋊#95	C₂³	1	1	yes	characteristic
323	C₇⋊#95	C₂³	1	1	yes	characteristic
324	C₇⋊#95	C₂³	1	1	yes	characteristic
325	C₇⋊#95	C₂³	1	1	yes	characteristic
326	C₇⋊#95	C₂³	1	1	yes	characteristic
327	C₇⋊#95	C₂³	1	1	yes	characteristic
328	C₇⋊#95	C₂³	1	1	yes	characteristic
329	C₇⋊#95	C₂³	1	1	yes	characteristic
330	C₇⋊#95	C₂³	1	1	yes	characteristic
331	C₇⋊#95	C₂³	1	1	yes	characteristic
332	C₇⋊#95	C₂³	1	1	yes	characteristic
333	C₇⋊#95	C₂³	1	1	yes	characteristic
334	C₇⋊#95	C₂³	1	1	yes	characteristic
335	C₇⋊#95	C₂³	1	1	yes	characteristic
336	C₇⋊#95	C₂³	1	1	yes	characteristic
337	C₇⋊#95	C₂³	1	1	yes	characteristic
338	C₇⋊#95	C₂³	1	1	yes	characteristic
339	C₇⋊#95	C₂³	1	1	yes	characteristic
340	C₇⋊#95	C₂³	1	1	yes	characteristic
341	C₇⋊#95	C₂³	1	1	yes	characteristic
342	C₇⋊#95	C₂³	1	1	yes	characteristic
343	C₇⋊#95	C₂³	1	1	yes	characteristic
344	C₇⋊#95	C₂³	1	1	yes	characteristic
345	C₇⋊#95	C₂³	1	1	yes	characteristic
346	C₇⋊#95	C₂³	1	1	yes	characteristic
347	C₇⋊#95	C₂³	1	1	yes	characteristic
348	C₇⋊#95	C₂³	1	1	yes	characteristic
349	C₇⋊#95	C₂³	1	1	yes	characteristic
350	#2855	—	7	1	no	—
351	#2851	—	7	1	no	—
352	#2807	—	7	1	no	—
353	#2802	D₇	1	1	yes	characteristic, complemented
354	#2791	—	7	1	no	—
355	#2790	—	7	1	no	—
356	#2790	—	7	1	no	—
357	#2780	—	7	1	no	—
358	#2780	—	7	1	no	—
359	#2768	—	7	1	no	—
360	#2768	—	7	1	no	—
361	#2768	—	7	1	no	—
362	#2755	—	7	1	no	—
363	#2748	—	7	1	no	—
364	#2732	—	7	1	no	—
365	#2726	—	7	1	no	—
366	#2720	—	7	1	no	—
367	#2704	—	7	1	no	—
368	#2667	—	7	1	no	—
369	#2667	—	7	1	no	—
370	#2612	—	7	1	no	—
371	#2608	—	7	1	no	—
372	#2606	—	7	1	no	—
373	#2606	—	7	1	no	—
374	#2570	—	7	1	no	—
375	#2569	—	7	1	no	—
376	#2441	—	7	1	no	—
377	#2438	—	7	1	no	—
378	#2319	—	7	1	no	—
379	#2318	—	7	1	no	—
380	#2290	—	7	1	no	—
381	C₂³×D₇	C₂⁴	1	1	yes	characteristic
382	C₂³×D₇	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
412	C₂×D₂₈	—	4	1	no	—
413	C₂×D₂₈	—	4	1	no	—
414	C₂×D₂₈	C₂×Q₈	1	4	yes	—
415	C₂×C₄×D₇	—	2	2	no	—
416	C₂×C₄×D₇	—	4	1	no	—
417	C₂×C₄×D₇	—	4	1	no	—
418	C₂×C₄×D₇	—	4	1	no	—
419	C₂×C₄×D₇	—	4	1	no	—
420	C₂×C₄×D₇	—	4	1	no	—
421	C₂×C₄×D₇	—	4	1	no	—
422	C₂×C₄×D₇	—	4	1	no	—
423	C₂×C₄×D₇	—	4	1	no	—
424	C₂×C₄×D₇	—	4	1	no	—
425	C₂×C₄×D₇	—	4	1	no	—
426	C₂×C₄×D₇	—	4	1	no	—
427	C₂×C₄×D₇	—	4	1	no	—
428	C₂×C₄×D₇	—	4	1	no	—
429	C₂×C₄×D₇	—	4	1	no	—
430	C₂×C₄×D₇	—	4	1	no	—
431	C₂×C₄×D₇	C₂×Q₈	1	4	yes	—
432	C₂×C₄×D₇	C₂×Q₈	1	4	yes	—
433	C₂×Dic₁₄	—	2	2	no	—
434	C₂×Dic₁₄	—	4	1	no	—
435	C₂×Dic₁₄	—	4	1	no	—
436	C₇×C₄⋊C₄	—	4	1	no	—
437	C₇×C₄⋊C₄	—	4	1	no	—
438	C₇×C₄⋊C₄	—	4	1	no	—
439	C₇×C₄⋊C₄	—	4	1	no	—
440	C₇×C₄⋊C₄	—	4	1	no	—
441	C₇×C₄⋊C₄	—	4	1	no	—
442	C₇×C₄⋊C₄	—	4	1	no	—
443	C₇×C₄⋊C₄	—	4	1	no	—
444	C₇×C₄⋊C₄	—	4	1	no	—
445	C₇×C₄⋊C₄	—	4	1	no	—
446	C₇×C₄⋊C₄	—	4	1	no	—
447	C₇×C₄⋊C₄	—	4	1	no	—
448	C₇×C₄⋊C₄	—	4	1	no	—
449	C₇×C₄⋊C₄	—	4	1	no	—
450	C₇×C₄⋊C₄	—	4	1	no	—
451	C₇×C₄⋊C₄	C₂×Q₈	1	4	yes	—
452	C₄²×C₇	—	4	1	no	—
453	C₄²×C₇	—	4	1	no	—
454	C₄²×C₇	—	4	1	no	—
455	(C₂×D₇)⋊C₄	—	2	2	no	—
456	(C₂×D₇)⋊C₄	—	4	1	no	—
457	(C₂×D₇)⋊C₄	—	4	1	no	—
458	(C₂×D₇)⋊C₄	—	4	1	no	—
459	(C₂×D₇)⋊C₄	—	4	1	no	—
460	(C₂×D₇)⋊C₄	—	4	1	no	—
461	(C₂×D₇)⋊C₄	—	4	1	no	—
462	(C₂×D₇)⋊C₄	—	4	1	no	—
463	(C₂×D₇)⋊C₄	—	4	1	no	—
464	(C₂×D₇)⋊C₄	—	4	1	no	—
465	(C₂×D₇)⋊C₄	—	4	1	no	—
466	(C₂×D₇)⋊C₄	—	4	1	no	—
467	(C₂×D₇)⋊C₄	—	4	1	no	—
468	(C₂×D₇)⋊C₄	—	4	1	no	—
469	(C₂×D₇)⋊C₄	—	4	1	no	—
470	(C₂×D₇)⋊C₄	—	4	1	no	—
471	(C₂×D₇)⋊C₄	—	4	1	no	—
472	(C₂×D₇)⋊C₄	—	4	1	no	—
473	(C₂×D₇)⋊C₄	—	4	1	no	—
474	(C₂×D₇)⋊C₄	—	4	1	no	—
475	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
476	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
477	C₄⋊Dic₇	—	2	2	no	—
478	C₄⋊Dic₇	—	4	1	no	—
479	C₄⋊Dic₇	—	4	1	no	—
480	C₄⋊Dic₇	—	4	1	no	—
481	C₄⋊Dic₇	—	4	1	no	—
482	C₄⋊Dic₇	—	4	1	no	—
483	C₄⋊Dic₇	—	4	1	no	—
484	C₄⋊Dic₇	—	4	1	no	—
485	C₄⋊Dic₇	—	4	1	no	—
486	C₄⋊Dic₇	—	4	1	no	—
487	C₄⋊Dic₇	—	4	1	no	—
488	C₄⋊Dic₇	—	4	1	no	—
489	C₄⋊Dic₇	—	4	1	no	—
490	C₄⋊Dic₇	—	4	1	no	—
491	Dic₇⋊C₄	—	2	2	no	—
492	Dic₇⋊C₄	—	2	2	no	—
493	Dic₇⋊C₄	—	2	2	no	—
494	Dic₇⋊C₄	—	4	1	no	—
495	Dic₇⋊C₄	—	4	1	no	—
496	Dic₇⋊C₄	—	4	1	no	—
497	Dic₇⋊C₄	—	4	1	no	—
498	Dic₇⋊C₄	—	4	1	no	—
499	Dic₇⋊C₄	—	4	1	no	—
500	Dic₇⋊C₄	—	4	1	no	—
501	Dic₇⋊C₄	—	4	1	no	—
502	Dic₇⋊C₄	—	4	1	no	—
503	Dic₇⋊C₄	—	4	1	no	—
504	Dic₇⋊C₄	—	4	1	no	—
505	Dic₇⋊C₄	—	4	1	no	—
506	Dic₇⋊C₄	—	4	1	no	—
507	Dic₇⋊C₄	—	4	1	no	—
508	Dic₇⋊C₄	—	4	1	no	—
509	Dic₇⋊C₄	—	4	1	no	—
510	Dic₇⋊C₄	—	4	1	no	—
511	Dic₇⋊C₄	—	4	1	no	—
512	Dic₇⋊C₄	—	4	1	no	—
513	Dic₇⋊C₄	—	4	1	no	—
514	Dic₇⋊C₄	—	4	1	no	—
515	Dic₇⋊C₄	—	4	1	no	—
516	Dic₇⋊C₄	—	4	1	no	—
517	C₄×Dic₇	—	2	2	no	—
518	C₄×Dic₇	—	2	2	no	—
519	C₄×Dic₇	—	4	1	no	—
520	C₄×Dic₇	—	4	1	no	—
521	C₄×Dic₇	—	4	1	no	—
522	C₄×Dic₇	—	4	1	no	—
523	C₄×Dic₇	—	4	1	no	—
524	C₄×Dic₇	—	4	1	no	—
525	C₄×Dic₇	—	4	1	no	—
526	C₄×Dic₇	C₂×Q₈	1	4	yes	—
527	C₂×#125	—	7	1	no	—
528	C₂×#125	—	7	1	no	—
529	C₂×C₂²⋊Q₈	—	7	1	no	—
530	C₂×C₂²⋊Q₈	—	7	1	no	—
531	C₂×C₄×D₄	—	7	1	no	—
532	C₂×#117	—	7	1	no	—
533	C₂²×C₄²	—	7	1	no	—
534	#400	—	7	1	no	—
535	#400	—	7	1	no	—
536	#400	—	7	1	no	—
537	#400	—	7	1	no	—
538	#400	C₂×D₇	1	1	yes	characteristic
539	#400	C₂×D₇	1	1	yes	characteristic
540	#399	—	7	1	no	—
541	#399	—	7	1	no	—
542	#399	—	7	1	no	—
543	#399	—	7	1	no	—
544	#399	—	7	1	no	—
545	#399	—	7	1	no	—
546	#398	—	7	1	no	—
547	#398	—	7	1	no	—
548	#398	—	7	1	no	—
549	#398	—	7	1	no	—
550	#398	—	7	1	no	—
551	#398	—	7	1	no	—
552	#398	—	7	1	no	—
553	#398	—	7	1	no	—
554	#398	—	7	1	no	—
555	#398	—	7	1	no	—
556	#398	—	7	1	no	—
557	#398	—	7	1	no	—
558	#398	—	7	1	no	—
559	#398	—	7	1	no	—
560	#398	—	7	1	no	—
561	#398	—	7	1	no	—
562	#398	—	7	1	no	—
563	#398	—	7	1	no	—
564	#398	—	7	1	no	—
565	#398	—	7	1	no	—
566	#398	C₂×D₇	1	1	yes	characteristic
567	#398	C₂×D₇	1	1	yes	characteristic
568	#398	C₂×D₇	1	1	yes	characteristic
569	#398	C₂×D₇	1	1	yes	characteristic
570	#396	—	7	1	no	—
571	#396	—	7	1	no	—
572	#396	—	7	1	no	—
573	#396	—	7	1	no	—
574	#396	—	7	1	no	—
575	#396	—	7	1	no	—
576	#396	—	7	1	no	—
577	#396	—	7	1	no	—
578	#396	—	7	1	no	—
579	#396	—	7	1	no	—
580	#395	—	7	1	no	—
581	#395	—	7	1	no	—
582	#391	—	7	1	no	—
583	#391	—	7	1	no	—
584	#391	—	7	1	no	—
585	#390	—	7	1	no	—
586	#390	—	7	1	no	—
587	#389	—	7	1	no	—
588	#389	—	7	1	no	—
589	#389	—	7	1	no	—
590	#389	—	7	1	no	—
591	#389	—	7	1	no	—
592	#389	—	7	1	no	—
593	#389	—	7	1	no	—
594	#389	—	7	1	no	—
595	#389	—	7	1	no	—
596	#389	—	7	1	no	—
597	#389	—	7	1	no	—
598	#389	—	7	1	no	—
599	#389	—	7	1	no	—
600	#389	—	7	1	no	—
601	#389	—	7	1	no	—
602	#389	—	7	1	no	—
603	#389	C₂×D₇	1	1	yes	characteristic
604	#389	C₂×D₇	1	1	yes	characteristic
605	#389	C₂×D₇	1	1	yes	characteristic
606	#389	C₂×D₇	1	1	yes	characteristic
607	#389	C₂×D₇	1	1	yes	characteristic
608	#388	—	7	1	no	—
609	#388	—	7	1	no	—
610	#388	—	7	1	no	—
611	#388	—	7	1	no	—
612	#388	—	7	1	no	—
613	#388	—	7	1	no	—
614	#388	—	7	1	no	—
615	#388	—	7	1	no	—
616	#387	—	7	1	no	—
617	#387	—	7	1	no	—
618	#387	—	7	1	no	—
619	#387	—	7	1	no	—
620	#387	—	7	1	no	—
621	#387	—	7	1	no	—
622	#387	—	7	1	no	—
623	#387	—	7	1	no	—
624	#387	—	7	1	no	—
625	#387	—	7	1	no	—
626	#387	—	7	1	no	—
627	#387	—	7	1	no	—
628	#387	—	7	1	no	—
629	#387	—	7	1	no	—
630	#387	—	7	1	no	—
631	#387	—	7	1	no	—
632	#387	—	7	1	no	—
633	#387	—	7	1	no	—
634	#387	—	7	1	no	—
635	#387	—	7	1	no	—
636	#387	C₂×D₇	1	1	yes	characteristic
637	#387	C₂×D₇	1	1	yes	characteristic
638	#387	C₂×D₇	1	1	yes	characteristic
639	#387	C₂×D₇	1	1	yes	characteristic
640	#386	—	7	1	no	—
641	#386	—	7	1	no	—
642	#386	—	7	1	no	—
643	#386	—	7	1	no	—
644	#385	—	7	1	no	—
645	#385	—	7	1	no	—
646	#385	—	7	1	no	—
647	#385	—	7	1	no	—
648	#385	—	7	1	no	—
649	#385	—	7	1	no	—
650	#385	—	7	1	no	—
651	#385	—	7	1	no	—
652	#385	—	7	1	no	—
653	#385	—	7	1	no	—
654	#385	—	7	1	no	—
655	#385	—	7	1	no	—
656	#385	—	7	1	no	—
657	#385	—	7	1	no	—
658	#384	—	7	1	no	—
659	#384	—	7	1	no	—
660	#383	—	7	1	no	—
661	#382	—	7	1	no	—
662	#382	—	7	1	no	—
663	#382	—	7	1	no	—
664	#381	—	7	1	no	—
665	#381	—	7	1	no	—
666	#381	—	7	1	no	—
667	#380	—	7	1	no	—
668	#380	—	7	1	no	—
669	#380	—	7	1	no	—
670	#380	—	7	1	no	—
671	#380	—	7	1	no	—
672	#380	—	7	1	no	—
673	#380	—	7	1	no	—
674	C₄×C₄⋊C₄	—	7	1	no	—
675	C₄×C₄⋊C₄	—	7	1	no	—
676	C₄×C₂²⋊C₄	—	7	1	no	—
677	C₄×C₂²⋊C₄	—	7	1	no	—
678	C₄×C₂²⋊C₄	—	7	1	no	—
679	#376	—	7	1	no	—
680	#376	—	7	1	no	—
681	C₂×#95	—	7	1	no	—
682	C₂³×C₇	C₂⁵	1	1	yes	characteristic
683	C₂²×D₇	—	2	1	no	—
684	C₂²×D₇	—	2	1	no	—
685	C₂²×D₇	—	2	1	no	—
686	C₂²×D₇	—	2	1	no	—
687	C₂²×D₇	—	2	1	no	—
688	C₂²×D₇	—	2	1	no	—
689	C₂²×D₇	—	2	1	no	—
690	C₂²×D₇	—	2	1	no	—
691	C₂²×D₇	—	2	1	no	—
692	C₂²×D₇	—	2	1	no	—
693	C₂²×D₇	—	2	1	no	—
694	C₂²×D₇	—	2	1	no	—
695	C₂²×D₇	C₂²×Q₈	1	2	yes	—
696	C₂²×D₇	C₂²×Q₈	1	2	yes	—
697	C₂×C₄×C₇	—	2	1	no	—
698	C₂×C₄×C₇	—	2	1	no	—
699	C₂×C₄×C₇	—	2	1	no	—
700	C₂×C₄×C₇	—	2	1	no	—
701	C₂×C₄×C₇	—	2	1	no	—
702	C₂×C₄×C₇	—	2	1	no	—
703	C₂×C₄×C₇	—	2	1	no	—
704	C₂×C₄×C₇	—	2	1	no	—
705	C₂×C₄×C₇	—	2	1	no	—
706	C₂×C₄×C₇	—	2	1	no	—
707	C₂×C₄×C₇	—	2	1	no	—
708	C₂×C₄×C₇	—	2	1	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	2	1	no	—
716	C₂×C₄×C₇	—	2	1	no	—
717	C₂×C₄×C₇	—	2	1	no	—
718	C₂×C₄×C₇	—	2	1	no	—
719	C₂×C₄×C₇	—	2	1	no	—
720	C₂×C₄×C₇	—	2	1	no	—
721	C₂×C₄×C₇	—	2	1	no	—
722	C₂×C₄×C₇	—	2	1	no	—
723	C₂×C₄×C₇	—	2	1	no	—
724	C₂×C₄×C₇	—	2	1	no	—
725	C₂×C₄×C₇	—	2	1	no	—
726	C₂×C₄×C₇	—	2	1	no	—
727	C₂×C₄×C₇	—	2	1	no	—
728	C₂×C₄×C₇	—	2	1	no	—
729	C₂×C₄×C₇	—	2	1	no	—
730	C₂×C₄×C₇	—	2	1	no	—
731	C₂×C₄×C₇	—	2	1	no	—
732	C₂×C₄×C₇	—	2	1	no	—
733	C₂×C₄×C₇	—	2	1	no	—
734	C₂×C₄×C₇	—	2	1	no	—
735	C₂×C₄×C₇	—	2	1	no	—
736	C₂×C₄×C₇	—	2	1	no	—
737	C₂×C₄×C₇	—	2	1	no	—
738	C₂×C₄×C₇	—	2	1	no	—
739	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
740	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
741	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
742	C₂×Dic₇	—	2	1	no	—
743	C₂×Dic₇	—	2	1	no	—
744	C₂×Dic₇	—	2	1	no	—
745	C₂×Dic₇	—	2	1	no	—
746	C₂×Dic₇	—	2	1	no	—
747	C₂×Dic₇	—	2	1	no	—
748	C₂×Dic₇	—	2	1	no	—
749	C₂×Dic₇	—	2	1	no	—
750	C₂×Dic₇	—	2	1	no	—
751	C₂×Dic₇	—	2	1	no	—
752	C₂×Dic₇	—	2	1	no	—
753	C₂×Dic₇	—	2	1	no	—
754	C₂×Dic₇	—	2	1	no	—
755	C₂×Dic₇	—	2	1	no	—
756	C₂×Dic₇	—	2	1	no	—
757	C₂×Dic₇	—	2	1	no	—
758	C₂×Dic₇	—	2	1	no	—
759	C₂×Dic₇	—	2	1	no	—
760	C₂×Dic₇	—	2	1	no	—
761	C₂×Dic₇	—	2	1	no	—
762	C₂×Dic₇	—	2	1	no	—
763	C₂×Dic₇	—	2	1	no	—
764	C₂×Dic₇	—	2	1	no	—
765	C₂×Dic₇	—	2	1	no	—
766	C₂×Dic₇	—	2	1	no	—
767	C₂×Dic₇	—	2	1	no	—
768	C₂×Dic₇	—	2	1	no	—
769	C₂×Dic₇	—	2	1	no	—
770	C₂×Dic₇	—	2	1	no	—
771	C₂×Dic₇	—	2	1	no	—
772	C₂×Dic₇	—	2	1	no	—
773	C₂×Dic₇	—	2	1	no	—
774	C₂×Dic₇	—	2	1	no	—
775	C₂×Dic₇	—	2	1	no	—
776	C₂×Dic₇	—	2	1	no	—
777	C₂×Dic₇	—	2	1	no	—
778	C₂×Dic₇	—	2	1	no	—
779	C₂×Dic₇	—	2	1	no	—
780	C₂×Dic₇	—	2	1	no	—
781	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
782	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
783	C₂×Dic₇	H(5,𝔽₂)	1	2	yes	—
784	D₂₈	—	4	4	no	—
785	C₄×D₇	—	4	4	no	—
786	C₄×D₇	—	4	4	no	—
787	C₄×D₇	—	4	4	no	—
788	C₄×D₇	—	4	4	no	—
789	C₄×D₇	—	8	2	no	—
790	C₄×D₇	—	8	2	no	—
791	Dic₁₄	—	8	2	no	—
792	C₂²×Q₈	—	7	1	no	—
793	C₂²×D₄	—	7	1	no	—
794	C₂³×C₄	—	7	1	no	—
795	C₂³×C₄	—	7	1	no	—
796	C₂³×C₄	—	7	1	no	—
797	C₂³×C₄	—	7	1	no	—
798	C₂³×C₄	—	7	1	no	—
799	C₂³×C₄	—	7	1	no	—
800	#125	—	28	2	no	—
801	#125	—	28	2	no	—
802	C₂²⋊Q₈	—	28	2	no	—
803	C₂²⋊Q₈	—	28	2	no	—
804	C₄×D₄	—	7	8	no	—
805	#117	—	28	2	no	—
806	C₂×C₄⋊C₄	—	7	1	no	—
807	C₂×C₄⋊C₄	—	7	1	no	—
808	C₂×C₄⋊C₄	—	7	1	no	—
809	C₂×C₄⋊C₄	—	7	1	no	—
810	C₂×C₄⋊C₄	—	7	1	no	—
811	C₂×C₄⋊C₄	—	7	1	no	—
812	C₂×C₄⋊C₄	—	7	1	no	—
813	C₂×C₄⋊C₄	—	7	1	no	—
814	C₂×C₄⋊C₄	—	7	1	no	—
815	C₂×C₄⋊C₄	—	7	1	no	—
816	C₂×C₄⋊C₄	—	7	1	no	—
817	C₂×C₄⋊C₄	—	7	1	no	—
818	C₂×C₄⋊C₄	—	7	1	no	—
819	C₂×C₄⋊C₄	—	7	1	no	—
820	C₂×C₄⋊C₄	—	7	1	no	—
821	C₂×C₄⋊C₄	—	7	1	no	—
822	C₂×C₄⋊C₄	—	7	1	no	—
823	C₂×C₄⋊C₄	—	7	1	no	—
824	C₂×C₄⋊C₄	—	7	1	no	—
825	C₂×C₄⋊C₄	—	7	1	no	—
826	C₂×C₄⋊C₄	—	7	1	no	—
827	C₂×C₄⋊C₄	—	7	1	no	—
828	C₂×C₄⋊C₄	—	7	1	no	—
829	C₂×C₄⋊C₄	—	7	1	no	—
830	C₂×C₄⋊C₄	—	7	1	no	—
831	C₂×C₄⋊C₄	—	7	1	no	—
832	C₂×C₄⋊C₄	—	7	1	no	—
833	C₂×C₄⋊C₄	—	7	1	no	—
834	C₂×C₄⋊C₄	—	7	1	no	—
835	C₂×C₄⋊C₄	—	7	1	no	—
836	C₂×C₄⋊C₄	—	7	1	no	—
837	C₂×C₄⋊C₄	—	7	1	no	—
838	C₂×C₄⋊C₄	—	7	1	no	—
839	C₂×C₄⋊C₄	—	7	1	no	—
840	C₂×C₄⋊C₄	—	7	1	no	—
841	C₂×C₄⋊C₄	—	7	1	no	—
842	C₂×C₄⋊C₄	—	7	1	no	—
843	C₂×C₄⋊C₄	—	7	1	no	—
844	C₂×C₄⋊C₄	—	7	1	no	—
845	C₂×C₄⋊C₄	—	7	1	no	—
846	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
847	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	—	7	1	no	—
863	C₂×C₂²⋊C₄	—	7	1	no	—
864	C₂×C₂²⋊C₄	—	7	1	no	—
865	C₂×C₂²⋊C₄	—	7	1	no	—
866	C₂×C₂²⋊C₄	—	7	1	no	—
867	C₂×C₂²⋊C₄	—	7	1	no	—
868	C₂×C₂²⋊C₄	—	7	1	no	—
869	C₂×C₂²⋊C₄	—	7	1	no	—
870	C₂×C₂²⋊C₄	—	7	1	no	—
871	C₂×C₂²⋊C₄	—	7	1	no	—
872	C₂×C₂²⋊C₄	—	7	1	no	—
873	C₂×C₂²⋊C₄	—	7	1	no	—
874	C₂×C₂²⋊C₄	—	7	1	no	—
875	C₂×C₂²⋊C₄	—	7	1	no	—
876	C₂×C₂²⋊C₄	—	7	1	no	—
877	C₂×C₂²⋊C₄	—	7	1	no	—
878	C₂×C₂²⋊C₄	—	7	1	no	—
879	C₂×C₂²⋊C₄	—	7	1	no	—
880	C₂×C₂²⋊C₄	—	7	1	no	—
881	C₂×C₂²⋊C₄	—	7	1	no	—
882	C₂×C₂²⋊C₄	—	7	1	no	—
883	C₂×C₂²⋊C₄	—	7	1	no	—
884	C₂×C₄²	—	7	1	no	—
885	C₂×C₄²	—	7	1	no	—
886	C₂×C₄²	—	7	1	no	—
887	C₂×C₄²	—	7	1	no	—
888	C₂×C₄²	—	7	1	no	—
889	C₂×C₄²	—	7	1	no	—
890	C₂×C₄²	—	7	1	no	—
891	C₂×C₄²	—	7	1	no	—
892	C₂×C₄²	—	7	1	no	—
893	C₂×C₄²	—	7	1	no	—
894	C₂×C₄²	—	28	2	no	—
895	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
896	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
897	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
898	#95	—	7	1	no	—
899	#95	—	7	1	no	—
900	#95	—	7	1	no	—
901	#95	—	7	1	no	—
902	#95	—	7	1	no	—
903	#95	—	7	1	no	—
904	#95	—	7	1	no	—
905	#95	—	7	1	no	—
906	#95	—	7	1	no	—
907	#95	—	7	1	no	—
908	#95	—	7	1	no	—
909	#95	—	7	1	no	—
910	#95	—	7	1	no	—
911	#95	—	7	1	no	—
912	#95	—	7	1	no	—
913	#95	—	7	1	no	—
914	#95	—	7	1	no	—
915	#95	—	7	1	no	—
916	#95	—	7	1	no	—
917	#95	—	7	1	no	—
918	#95	—	7	1	no	—
919	#95	—	7	1	no	—
920	#95	—	7	1	no	—
921	#95	—	7	1	no	—
922	#95	—	7	1	no	—
923	#95	—	7	1	no	—
924	#95	—	7	1	no	—
925	#95	—	7	1	no	—
926	#95	—	7	1	no	—
927	#95	—	7	1	no	—
928	#95	—	7	1	no	—
929	#95	—	7	1	no	—
930	#95	—	7	1	no	—
931	#95	—	7	1	no	—
932	#95	—	7	1	no	—
933	#95	—	7	1	no	—
934	#95	—	7	1	no	—
935	#95	—	7	1	no	—
936	#95	—	7	1	no	—
937	#95	—	7	1	no	—
938	#95	C₂²×D₇	1	1	yes	characteristic
939	#95	C₂²×D₇	1	1	yes	characteristic
940	#95	C₂²×D₇	1	1	yes	characteristic
941	#95	C₂²×D₇	1	1	yes	characteristic
942	#95	C₂²×D₇	1	1	yes	characteristic
943	#95	C₂²×D₇	1	1	yes	characteristic
944	#95	C₂²×D₇	1	1	yes	characteristic
945	#95	C₂²×D₇	1	1	yes	characteristic
946	#95	C₂²×D₇	1	1	yes	characteristic
947	#95	C₂²×D₇	1	1	yes	characteristic
948	#95	C₂²×D₇	1	1	yes	characteristic
949	#95	C₂²×D₇	1	1	yes	characteristic
950	#95	C₂²×D₇	1	1	yes	characteristic
951	#95	C₂²×D₇	1	1	yes	characteristic
952	#95	C₂²×D₇	1	1	yes	characteristic
953	#95	C₂²×D₇	1	1	yes	characteristic
954	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
955	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
956	C₂²×C₇	#585	1	1	yes	characteristic
957	C₂²×C₇	#585	1	1	yes	characteristic
958	C₂²×C₇	#585	1	1	yes	characteristic
959	C₂²×C₇	#585	1	1	yes	characteristic
960	C₂²×C₇	#585	1	1	yes	characteristic
961	C₂×D₇	—	2	2	no	—
962	C₂×D₇	—	2	2	no	—
963	C₂×D₇	—	2	2	no	—
964	C₂×D₇	—	2	2	no	—
965	C₂×D₇	—	2	2	no	—
966	C₂×D₇	—	2	2	no	—
967	C₂×D₇	—	4	1	no	—
968	C₂×D₇	—	4	1	no	—
969	C₂×D₇	—	4	1	no	—
970	C₂×D₇	—	4	1	no	—
971	C₂×D₇	—	4	1	no	—
972	C₂×D₇	—	4	1	no	—
973	C₂×D₇	—	4	1	no	—
974	C₂×D₇	—	4	1	no	—
975	C₄×C₇	—	2	2	no	—
976	C₄×C₇	—	2	2	no	—
977	C₄×C₇	—	2	2	no	—
978	C₄×C₇	—	4	1	no	—
979	C₄×C₇	—	4	1	no	—
980	C₄×C₇	—	4	1	no	—
981	C₄×C₇	—	4	1	no	—
982	C₄×C₇	—	4	1	no	—
983	C₄×C₇	—	4	1	no	—
984	C₄×C₇	—	4	1	no	—
985	C₄×C₇	—	4	1	no	—
986	C₄×C₇	—	4	1	no	—
987	C₄×C₇	—	4	1	no	—
988	C₄×C₇	—	4	1	no	—
989	C₄×C₇	—	4	1	no	—
990	Dic₇	—	2	2	no	—
991	Dic₇	—	2	2	no	—
992	Dic₇	—	2	2	no	—
993	Dic₇	—	4	1	no	—
994	Dic₇	—	4	1	no	—
995	Dic₇	—	4	1	no	—
996	Dic₇	—	4	1	no	—
997	Dic₇	—	4	1	no	—
998	Dic₇	—	4	1	no	—
999	Dic₇	—	4	1	no	—
1000	Dic₇	—	4	1	no	—
1001	Dic₇	—	4	1	no	—
1002	Dic₇	—	4	1	no	—
1003	Dic₇	—	4	1	no	—
1004	C₂⁴	—	7	1	no	—
1005	C₂⁴	—	7	1	no	—
1006	C₂×Q₈	—	14	2	no	—
1007	C₂×Q₈	—	28	1	no	—
1008	C₂×Q₈	—	28	1	no	—
1009	C₂×D₄	—	7	4	no	—
1010	C₂×D₄	—	28	1	no	—
1011	C₂×D₄	—	28	1	no	—
1012	C₂²×C₄	—	7	1	no	—
1013	C₂²×C₄	—	7	1	no	—
1014	C₂²×C₄	—	7	1	no	—
1015	C₂²×C₄	—	7	4	no	—
1016	C₂²×C₄	—	7	4	no	—
1017	C₂²×C₄	—	7	1	no	—
1018	C₂²×C₄	—	7	1	no	—
1019	C₂²×C₄	—	7	1	no	—
1020	C₂²×C₄	—	7	1	no	—
1021	C₂²×C₄	—	7	1	no	—
1022	C₂²×C₄	—	7	1	no	—
1023	C₂²×C₄	—	7	1	no	—
1024	C₂²×C₄	—	7	1	no	—
1025	C₂²×C₄	—	7	1	no	—
1026	C₂²×C₄	—	7	1	no	—
1027	C₂²×C₄	—	7	1	no	—
1028	C₂²×C₄	—	14	2	no	—
1029	C₂²×C₄	—	28	1	no	—
1030	C₂²×C₄	—	28	1	no	—
1031	C₂²×C₄	—	28	1	no	—
1032	C₂²×C₄	—	28	1	no	—
1033	C₂²×C₄	—	28	1	no	—
1034	C₂²×C₄	—	28	1	no	—
1035	C₂²×C₄	—	28	1	no	—
1036	C₂²×C₄	—	28	1	no	—
1037	C₂²×C₄	—	28	1	no	—
1038	C₂²×C₄	—	28	1	no	—
1039	C₂²×C₄	—	28	1	no	—
1040	C₂²×C₄	—	28	1	no	—
1041	C₂²×C₄	—	28	1	no	—
1042	C₂²×C₄	—	28	1	no	—
1043	C₂²×C₄	—	28	1	no	—
1044	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	4	1	no	—
1066	C₄⋊C₄	—	4	1	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	14	2	no	—
1075	C₄⋊C₄	—	14	2	no	—
1076	C₄⋊C₄	—	14	2	no	—
1077	C₄⋊C₄	—	14	2	no	—
1078	C₄⋊C₄	—	28	1	no	—
1079	C₄⋊C₄	—	28	1	no	—
1080	C₄⋊C₄	—	28	1	no	—
1081	C₄⋊C₄	—	28	1	no	—
1082	C₄⋊C₄	—	28	1	no	—
1083	C₄⋊C₄	—	28	1	no	—
1084	C₄⋊C₄	—	28	1	no	—
1085	C₄⋊C₄	—	28	1	no	—
1086	C₄⋊C₄	—	28	1	no	—
1087	C₄⋊C₄	—	28	1	no	—
1088	C₄⋊C₄	—	28	1	no	—
1089	C₄⋊C₄	—	28	1	no	—
1090	C₄⋊C₄	—	28	1	no	—
1091	C₄⋊C₄	—	28	1	no	—
1092	C₄⋊C₄	—	28	1	no	—
1093	C₄⋊C₄	—	28	1	no	—
1094	C₄⋊C₄	—	28	1	no	—
1095	C₄⋊C₄	—	28	1	no	—
1096	C₄⋊C₄	—	28	1	no	—
1097	C₄⋊C₄	—	28	1	no	—
1098	C₄⋊C₄	—	28	1	no	—
1099	C₄⋊C₄	—	28	1	no	—
1100	C₄⋊C₄	—	28	1	no	—
1101	C₄⋊C₄	—	28	1	no	—
1102	C₄⋊C₄	—	28	1	no	—
1103	C₄⋊C₄	—	28	1	no	—
1104	C₄⋊C₄	—	28	1	no	—
1105	C₄⋊C₄	—	28	1	no	—
1106	C₄⋊C₄	—	28	1	no	—
1107	C₄⋊C₄	—	28	1	no	—
1108	C₄⋊C₄	—	28	1	no	—
1109	C₄⋊C₄	—	28	1	no	—
1110	C₄⋊C₄	—	28	1	no	—
1111	C₄⋊C₄	—	28	1	no	—
1112	C₄⋊C₄	—	28	1	no	—
1113	C₄⋊C₄	—	28	1	no	—
1114	C₄⋊C₄	Q₈×D₇	1	4	yes	—
1115	C₂²⋊C₄	—	7	4	no	—
1116	C₂²⋊C₄	—	7	4	no	—
1117	C₂²⋊C₄	—	14	2	no	—
1118	C₂²⋊C₄	—	28	1	no	—
1119	C₂²⋊C₄	—	28	1	no	—
1120	C₂²⋊C₄	—	28	1	no	—
1121	C₂²⋊C₄	—	28	1	no	—
1122	C₂²⋊C₄	—	28	1	no	—
1123	C₂²⋊C₄	—	28	1	no	—
1124	C₂²⋊C₄	—	28	1	no	—
1125	C₂²⋊C₄	—	28	1	no	—
1126	C₂²⋊C₄	—	28	1	no	—
1127	C₂²⋊C₄	—	28	1	no	—
1128	C₂²⋊C₄	—	28	1	no	—
1129	C₂²⋊C₄	—	28	1	no	—
1130	C₂²⋊C₄	—	28	1	no	—
1131	C₂²⋊C₄	—	28	1	no	—
1132	C₂²⋊C₄	—	28	1	no	—
1133	C₂²⋊C₄	—	28	1	no	—
1134	C₂²⋊C₄	—	28	1	no	—
1135	C₂²⋊C₄	—	28	1	no	—
1136	C₂²⋊C₄	—	28	1	no	—
1137	C₄²	—	4	1	no	—
1138	C₄²	—	4	1	no	—
1139	C₄²	—	4	1	no	—
1140	C₄²	—	7	4	no	—
1141	C₄²	—	14	2	no	—
1142	C₄²	—	14	2	no	—
1143	C₄²	—	28	1	no	—
1144	C₄²	—	28	1	no	—
1145	C₄²	—	28	1	no	—
1146	C₄²	—	28	1	no	—
1147	C₄²	—	28	1	no	—
1148	C₄²	—	28	1	no	—
1149	C₄²	—	28	1	no	—
1150	C₂×C₇	#3458	1	1	yes	characteristic
1151	C₂×C₇	#3501	1	1	yes	characteristic
1152	C₂×C₇	#3504	1	1	yes	characteristic
1153	C₂×C₇	#3533	1	1	yes	characteristic
1154	C₂×C₇	#3539	1	1	yes	characteristic
1155	C₂×C₇	#3566	1	1	yes	characteristic
1156	C₂×C₇	#3567	1	1	yes	characteristic
1157	D₇	—	4	2	no	—
1158	D₇	—	4	2	no	—
1159	C₂³	—	7	2	no	—
1160	C₂³	—	7	2	no	—
1161	C₂³	—	14	1	no	—
1162	C₂³	—	14	1	no	—
1163	C₂³	—	14	1	no	—
1164	C₂³	—	14	1	no	—
1165	C₂³	—	14	1	no	—
1166	C₂³	—	14	1	no	—
1167	C₂³	—	14	1	no	—
1168	C₂³	—	14	1	no	—
1169	C₂³	—	14	1	no	—
1170	C₂³	—	14	1	no	—
1171	C₂³	—	14	1	no	—
1172	C₂³	—	14	1	no	—
1173	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1174	Q₈	—	56	2	no	—
1175	D₄	—	28	4	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	7	2	no	—
1219	C₂×C₄	—	7	2	no	—
1220	C₂×C₄	—	7	2	no	—
1221	C₂×C₄	—	14	1	no	—
1222	C₂×C₄	—	14	1	no	—
1223	C₂×C₄	—	14	1	no	—
1224	C₂×C₄	—	14	1	no	—
1225	C₂×C₄	—	14	1	no	—
1226	C₂×C₄	—	14	1	no	—
1227	C₂×C₄	—	14	1	no	—
1228	C₂×C₄	—	14	1	no	—
1229	C₂×C₄	—	14	1	no	—
1230	C₂×C₄	—	14	1	no	—
1231	C₂×C₄	—	14	1	no	—
1232	C₂×C₄	—	14	1	no	—
1233	C₂×C₄	—	14	1	no	—
1234	C₂×C₄	—	14	1	no	—
1235	C₂×C₄	—	14	1	no	—
1236	C₂×C₄	—	14	1	no	—
1237	C₂×C₄	—	14	1	no	—
1238	C₂×C₄	—	14	1	no	—
1239	C₂×C₄	—	14	1	no	—
1240	C₂×C₄	—	14	1	no	—
1241	C₂×C₄	—	14	1	no	—
1242	C₂×C₄	—	14	1	no	—
1243	C₂×C₄	—	14	1	no	—
1244	C₂×C₄	—	14	1	no	—
1245	C₂×C₄	—	14	1	no	—
1246	C₂×C₄	—	14	1	no	—
1247	C₂×C₄	—	14	1	no	—
1248	C₂×C₄	—	14	1	no	—
1249	C₂×C₄	—	14	1	no	—
1250	C₂×C₄	—	14	1	no	—
1251	C₂×C₄	—	14	1	no	—
1252	C₂×C₄	—	14	1	no	—
1253	C₂×C₄	—	14	1	no	—
1254	C₂×C₄	—	14	1	no	—
1255	C₂×C₄	—	14	1	no	—
1256	C₂×C₄	—	14	1	no	—
1257	C₂×C₄	—	14	1	no	—
1258	C₂×C₄	—	14	1	no	—
1259	C₂×C₄	—	14	1	no	—
1260	C₂×C₄	—	28	4	no	—
1261	C₂×C₄	—	28	4	no	—
1262	C₂×C₄	—	28	4	no	—
1263	C₂×C₄	—	28	4	no	—
1264	C₂×C₄	—	56	2	no	—
1265	C₂×C₄	—	56	2	no	—
1266	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1267	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1268	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1269	C₇	#36756	1	1	yes	characteristic, complemented, Sylow
1270	C₂²	—	14	2	no	—
1271	C₂²	—	14	2	no	—
1272	C₂²	—	14	2	no	—
1273	C₂²	—	14	2	no	—
1274	C₂²	—	14	2	no	—
1275	C₂²	—	14	2	no	—
1276	C₂²	—	28	1	no	—
1277	C₂²	—	28	1	no	—
1278	C₂²	—	28	1	no	—
1279	C₂²	—	28	1	no	—
1280	C₂²	—	28	1	no	—
1281	C₂²	—	28	1	no	—
1282	C₂²	—	28	1	no	—
1283	C₂²	—	28	1	no	—
1284	C₂²	C₂²×Q₈×D₇	1	1	yes	characteristic
1285	C₂²	#90616	1	1	yes	characteristic
1286	C₂²	#90616	1	1	yes	characteristic
1287	C₂²	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1288	C₂²	#90618	1	1	yes	characteristic
1289	C₂²	#90620	1	1	yes	characteristic
1290	C₂²	#90620	1	1	yes	characteristic
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	14	2	no	—
1307	C₄	—	14	2	no	—
1308	C₄	—	14	2	no	—
1309	C₄	—	28	1	no	—
1310	C₄	—	28	1	no	—
1311	C₄	—	28	1	no	—
1312	C₄	—	28	1	no	—
1313	C₄	—	28	1	no	—
1314	C₄	—	28	1	no	—
1315	C₄	—	28	1	no	—
1316	C₄	—	28	1	no	—
1317	C₄	—	28	1	no	—
1318	C₄	—	28	1	no	—
1319	C₄	—	28	1	no	—
1320	C₂	—	28	2	no	—
1321	C₂	—	28	2	no	—
1322	C₂	#11743504	1	1	yes	characteristic
1323	C₂	#11743574	1	1	yes	characteristic
1324	C₂	#11743649	1	1	yes	characteristic
1325	C₂	#11743975	1	1	yes	characteristic
1326	C₂	#11744017	1	1	yes	characteristic
1327	C₂	#11744087	1	1	yes	characteristic
1328	C₂	#11744176	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2802	C₂
prime radical	C₂²×D₂₈	C₂³
hypercenter	#2802	D₇
hypocenter	C₇	#36756
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2802

Complements

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

N	H ≅ G/N	type
1. C₇×#2802	C₂	semidirect
2. #11735787	C₂	semidirect
3. #11735742	C₂	semidirect
5. #11735627	C₂	semidirect
7. #11735426	C₂	semidirect
8. #11735404	C₂	semidirect
9. #11735335	C₂	semidirect
10. #11735334	C₂	semidirect
11. #11735291	C₂	semidirect
12. #11735290	C₂	semidirect
13. #11735259	C₂	semidirect
14. #11733730	C₂	semidirect
15. #11733727	C₂	semidirect
16. #11733693	C₂	semidirect
17. #11733669	C₂	semidirect
18. #11733610	C₂	semidirect
19. #11733582	C₂	semidirect
21. #11733564	C₂	semidirect
22. #11733543	C₂	semidirect
24. #11732893	C₂	semidirect
26. #11732699	C₂	semidirect
27. #11732657	C₂	semidirect
28. #11732621	C₂	semidirect
29. #11732578	C₂	semidirect
289. #6456	Q₈	semidirect
353. #2802	D₇	semidirect
1269. C₇	#36756	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2802	2
#11735787	2
#11735742	2
#11735732	2
#11735627	2
#11735445	2
#11735426	2
#11735404	2
#11735335	2
#11735334	2
#11735291	2
#11735290	2
#11735259	2
#11733730	2
#11733727	2
#11733693	2
#11733669	2
#11733610	2
#11733582	2
#11733579	2
#11733564	2
#11733543	2
#11733414	2
#11732893	2
#11732867	2
#11732699	2
#11732657	2
#11732621	2
#11732578	2
#11732390	2
#11732382	2
#36756	7