Subgroups — #13562580

Order 1792.

1548 conjugacy classes of subgroups.

The subgroup lattice has 1368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2702	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740565	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740536	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740276	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740207	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735708	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735638	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735326	C₂	1	1	yes	maximal, characteristic, complemented
9	#11735280	C₂	1	1	yes	maximal, characteristic, complemented
10	#11734820	C₂	1	1	yes	maximal, characteristic, complemented
11	#11734788	C₂	1	1	yes	maximal, characteristic, complemented
12	#11734601	C₂	1	1	yes	maximal, characteristic
13	#11734495	C₂	1	1	yes	maximal, characteristic, complemented
14	#11734408	C₂	1	1	yes	maximal, characteristic
15	#11734342	C₂	1	1	yes	maximal, characteristic, complemented
16	#11734269	C₂	1	1	yes	maximal, characteristic, complemented
17	#11734241	C₂	1	1	yes	maximal, characteristic, complemented
18	#11734108	C₂	1	1	yes	maximal, characteristic, complemented
19	#11734024	C₂	1	1	yes	maximal, characteristic, complemented
20	#11733589	C₂	1	1	yes	maximal, characteristic, complemented
21	#11733502	C₂	1	1	yes	maximal, characteristic, complemented
22	#11733388	C₂	1	1	yes	maximal, characteristic, complemented
23	#11733199	C₂	1	1	yes	maximal, characteristic, complemented
24	#11733174	C₂	1	1	yes	maximal, characteristic, complemented
25	#11733074	C₂	1	1	yes	maximal, characteristic, complemented
26	#11732909	C₂	1	1	yes	maximal, characteristic, complemented
27	#11732894	C₂	1	1	yes	maximal, characteristic, complemented
28	#11732376	C₂	1	1	yes	maximal, characteristic
29	#11732108	C₂	1	1	yes	maximal, characteristic, complemented
30	#11731434	C₂	1	1	yes	maximal, characteristic, complemented
31	#11731388	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#126	C₂²	1	1	yes	characteristic
33	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×#6509	C₂²	1	1	yes	characteristic
35	C₂×D₄×Dic₇	C₂²	1	1	yes	characteristic
36	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×#6441	C₂²	1	1	yes	characteristic
38	C₂×#6441	C₂²	1	1	yes	characteristic
39	C₂×#6440	C₂²	1	1	yes	characteristic
40	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
41	C₇×#400	C₂²	1	1	yes	characteristic
42	C₇×#398	C₂²	1	1	yes	characteristic
43	C₇×#396	C₂²	1	1	yes	characteristic
44	C₇×#394	C₂²	1	1	yes	characteristic
45	C₇×#394	C₂²	1	1	yes	characteristic
46	C₇×#393	C₂²	1	1	yes	characteristic
47	C₇×#391	C₂²	1	1	yes	characteristic
48	C₇×#389	C₂²	1	1	yes	characteristic
49	C₇×#388	C₂²	1	1	yes	characteristic
50	C₇×#388	C₂²	1	1	yes	characteristic
51	C₇×#388	C₂²	1	1	yes	characteristic
52	C₇×#386	C₂²	1	1	yes	characteristic
53	C₇×#380	C₂²	1	1	yes	characteristic
54	#90002	C₂²	1	1	yes	characteristic
55	#90002	C₂²	1	1	yes	characteristic
56	#90001	C₂²	1	1	yes	characteristic
57	#89995	C₂²	1	1	yes	characteristic
58	#89994	C₂²	1	1	yes	characteristic
59	#89992	C₂²	1	1	yes	characteristic
60	#89985	C₂²	1	1	yes	characteristic
61	#89982	C₂²	1	1	yes	characteristic
62	#89982	C₂²	1	1	yes	characteristic
63	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic
64	#89765	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	#89759	C₂²	1	1	yes	characteristic
73	#89758	C₂²	1	1	yes	characteristic
74	#89758	C₂²	1	1	yes	characteristic
75	#89758	C₂²	1	1	yes	characteristic
76	#89758	C₂²	1	1	yes	characteristic
77	#89757	C₂²	1	1	yes	characteristic
78	#89756	C₂²	1	1	yes	characteristic
79	#89756	C₂²	1	1	yes	characteristic
80	#89756	C₂²	1	1	yes	characteristic
81	#89756	C₂²	1	1	yes	characteristic
82	#89755	C₂²	1	1	yes	characteristic
83	#89754	C₂²	1	1	yes	characteristic
84	#89754	C₂²	1	1	yes	characteristic
85	#89754	C₂²	1	1	yes	characteristic
86	#89754	C₂²	1	1	yes	characteristic
87	#89754	C₂²	1	1	yes	characteristic
88	#89753	C₂²	1	1	yes	characteristic
89	#89753	C₂²	1	1	yes	characteristic
90	#89751	C₂²	1	1	yes	characteristic
91	#89750	C₂²	1	1	yes	characteristic
92	#89750	C₂²	1	1	yes	characteristic
93	#89750	C₂²	1	1	yes	characteristic
94	#89750	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
96	#89746	C₂²	1	1	yes	characteristic
97	#89745	C₂²	1	1	yes	characteristic
98	#89744	C₂²	1	1	yes	characteristic
99	#89744	C₂²	1	1	yes	characteristic
100	#89733	C₂²	1	1	yes	characteristic
101	#89733	C₂²	1	1	yes	characteristic
102	#89730	C₂²	1	1	yes	characteristic
103	#89730	C₂²	1	1	yes	characteristic
104	#89729	C₂²	1	1	yes	characteristic
105	#89728	C₂²	1	1	yes	characteristic
106	#89728	C₂²	1	1	yes	characteristic
107	#89728	C₂²	1	1	yes	characteristic
108	#89728	C₂²	1	1	yes	characteristic
109	#89728	C₂²	1	1	yes	characteristic
110	#89725	C₂²	1	1	yes	characteristic
111	#89725	C₂²	1	1	yes	characteristic
112	#89724	C₂²	1	1	yes	characteristic
113	#89724	C₂²	1	1	yes	characteristic
114	#89724	C₂²	1	1	yes	characteristic
115	#89724	C₂²	1	1	yes	characteristic
116	#89724	C₂²	1	1	yes	characteristic
117	#89723	C₂²	1	1	yes	characteristic
118	#89723	C₂²	1	1	yes	characteristic
119	#89723	C₂²	1	1	yes	characteristic
120	#89723	C₂²	1	1	yes	characteristic
121	#89723	C₂²	1	1	yes	characteristic
122	#89722	C₂²	1	1	yes	characteristic
123	#89721	C₂²	1	1	yes	characteristic
124	#89718	C₂²	1	1	yes	characteristic
125	#89718	C₂²	1	1	yes	characteristic
126	#89717	C₂²	1	1	yes	characteristic
127	#89717	C₂²	1	1	yes	characteristic
128	#89717	C₂²	1	1	yes	characteristic
129	#89716	C₂²	1	1	yes	characteristic
130	#89716	C₂²	1	1	yes	characteristic
131	#89716	C₂²	1	1	yes	characteristic
132	#89716	C₂²	1	1	yes	characteristic
133	#89715	C₂²	1	1	yes	characteristic
134	#89715	C₂²	1	1	yes	characteristic
135	#89714	C₂²	1	1	yes	characteristic
136	#89714	C₂²	1	1	yes	characteristic
137	#89714	C₂²	1	1	yes	characteristic
138	#89714	C₂²	1	1	yes	characteristic
139	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
140	#89712	C₂²	1	1	yes	characteristic
141	#89709	C₂²	1	1	yes	characteristic
142	C₄×C₄⋊Dic₇	C₂²	1	1	yes	characteristic
143	#89705	C₂²	1	1	yes	characteristic
144	#89705	C₂²	1	1	yes	characteristic
145	#89705	C₂²	1	1	yes	characteristic
146	#89700	C₂²	1	1	yes	characteristic
147	#89448	C₂²	1	1	yes	characteristic
148	#89448	C₂²	1	1	yes	characteristic
149	#89445	C₂²	1	1	yes	characteristic
150	#89442	C₂²	1	1	yes	characteristic
151	#89440	C₂²	1	1	yes	characteristic
152	#89440	C₂²	1	1	yes	characteristic
153	#89440	C₂²	1	1	yes	characteristic
154	#89438	C₂²	1	1	yes	characteristic
155	#89436	C₂²	1	1	yes	characteristic
156	#89436	C₂²	1	1	yes	characteristic
157	C₇⋊#401	C₂²	1	1	yes	characteristic
158	#89432	C₂²	1	1	yes	characteristic
159	#89432	C₂²	1	1	yes	characteristic
160	#89431	C₂²	1	1	yes	characteristic
161	#89430	C₂²	1	1	yes	characteristic
162	#89430	C₂²	1	1	yes	characteristic
163	#89429	C₂²	1	1	yes	characteristic
164	#89429	C₂²	1	1	yes	characteristic
165	#89429	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	#89426	C₂²	1	1	yes	characteristic
170	#89425	C₂²	1	1	yes	characteristic
171	#89425	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	#89424	C₂²	1	1	yes	characteristic
176	#89424	C₂²	1	1	yes	characteristic
177	#89424	C₂²	1	1	yes	characteristic
178	#89423	C₂²	1	1	yes	characteristic
179	#89423	C₂²	1	1	yes	characteristic
180	#89423	C₂²	1	1	yes	characteristic
181	#89422	C₂²	1	1	yes	characteristic
182	#89421	C₂²	1	1	yes	characteristic
183	#89420	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	#36790	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
193	C₂³×Dic₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₇	C₂³	1	1	yes	characteristic
195	C₂³×Dic₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
200	C₇×#126	—	4	2	no	—
201	C₇×C₂²⋊Q₈	—	4	2	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₇	C₂³	1	1	yes	characteristic
235	#6509	—	4	2	no	—
236	D₄×Dic₇	—	2	4	no	—
237	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₇)⋊C₄	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×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₇	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×C₄×Dic₇	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₇	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	(C₂²⋊D₇)⋊C₄	—	2	4	no	—
286	#6441	—	2	4	no	—
287	#6441	—	4	2	no	—
288	#6440	—	4	2	no	—
289	C₄²×D₇	—	4	2	no	—
290	C₇×#95	C₂³	1	1	yes	characteristic
291	C₇×#95	C₂³	1	1	yes	characteristic
292	C₇×#95	C₂³	1	1	yes	characteristic
293	C₇×#95	C₂³	1	1	yes	characteristic
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	C₇⋊#95	C₂³	1	1	yes	characteristic
351	C₇⋊#95	C₂³	1	1	yes	characteristic
352	#2855	—	7	1	no	—
353	#2852	—	7	1	no	—
354	#2778	—	7	1	no	—
355	#2770	—	7	1	no	—
356	#2770	—	7	1	no	—
357	#2768	—	7	1	no	—
358	#2764	—	7	1	no	—
359	#2762	—	7	1	no	—
360	#2758	—	7	1	no	—
361	#2750	—	7	1	no	—
362	#2749	—	7	1	no	—
363	#2747	—	7	1	no	—
364	#2743	—	7	1	no	—
365	#2741	—	7	1	no	—
366	#2728	—	7	1	no	—
367	#2702	D₇	1	1	yes	characteristic, complemented
368	#2692	—	7	1	no	—
369	#2689	—	7	1	no	—
370	#2655	—	7	1	no	—
371	#2654	—	7	1	no	—
372	#2600	—	7	1	no	—
373	#2595	—	7	1	no	—
374	#2587	—	7	1	no	—
375	#2564	—	7	1	no	—
376	#2533	—	7	1	no	—
377	#2532	—	7	1	no	—
378	#2438	—	7	1	no	—
379	#2415	—	7	1	no	—
380	#2332	—	7	1	no	—
381	#2318	—	7	1	no	—
382	#2290	—	7	1	no	—
383	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
385	C₂³×D₇	C₂⁴	1	1	yes	characteristic
386	C₂×C₇×Q₈	—	2	2	no	—
387	C₂×C₇×Q₈	—	4	1	no	—
388	C₂×C₇×Q₈	—	4	1	no	—
389	C₂×C₇×D₄	—	2	2	no	—
390	C₂×C₇×D₄	—	4	1	no	—
391	C₂×C₇×D₄	—	4	1	no	—
392	C₂²×C₄×C₇	—	4	1	no	—
393	C₂²×C₄×C₇	—	4	1	no	—
394	C₂²×C₄×C₇	—	4	1	no	—
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×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
408	C₂×C₂²⋊D₇	—	2	2	no	—
409	C₂×C₂²⋊D₇	—	2	2	no	—
410	C₂×C₂²⋊D₇	—	2	2	no	—
411	C₂×C₂²⋊D₇	—	4	1	no	—
412	C₂×C₂²⋊D₇	—	4	1	no	—
413	C₂×C₂²⋊D₇	—	4	1	no	—
414	C₂²×Dic₇	—	2	2	no	—
415	C₂²×Dic₇	—	4	1	no	—
416	C₂²×Dic₇	—	4	1	no	—
417	C₂²×Dic₇	—	4	1	no	—
418	C₂²×Dic₇	—	4	1	no	—
419	C₂²×Dic₇	—	4	1	no	—
420	C₂²×Dic₇	—	4	1	no	—
421	C₂²×Dic₇	—	4	1	no	—
422	C₂²×Dic₇	#41	1	4	yes	—
423	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
438	C₂×C₄×D₇	—	2	2	no	—
439	C₂×C₄×D₇	—	2	2	no	—
440	C₂×C₄×D₇	—	2	2	no	—
441	C₂×C₄×D₇	—	4	1	no	—
442	C₂×C₄×D₇	—	4	1	no	—
443	C₂×C₄×D₇	—	4	1	no	—
444	C₂×C₄×D₇	—	4	1	no	—
445	C₂×C₄×D₇	—	4	1	no	—
446	C₂×C₄×D₇	—	4	1	no	—
447	C₂×Dic₁₄	—	2	2	no	—
448	C₂×Dic₁₄	—	4	1	no	—
449	C₂×Dic₁₄	—	4	1	no	—
450	C₇×C₄⋊C₄	—	2	2	no	—
451	C₇×C₄⋊C₄	—	4	1	no	—
452	C₇×C₄⋊C₄	—	4	1	no	—
453	C₇×C₄⋊C₄	—	4	1	no	—
454	C₇×C₄⋊C₄	—	4	1	no	—
455	C₇×C₄⋊C₄	—	4	1	no	—
456	C₇×C₄⋊C₄	—	4	1	no	—
457	C₇×C₄⋊C₄	—	4	1	no	—
458	C₇×C₄⋊C₄	—	4	1	no	—
459	C₇×C₂²⋊C₄	—	2	2	no	—
460	C₇×C₂²⋊C₄	—	2	2	no	—
461	C₇×C₂²⋊C₄	—	2	2	no	—
462	C₇×C₂²⋊C₄	—	2	2	no	—
463	C₇×C₂²⋊C₄	—	4	1	no	—
464	C₇×C₂²⋊C₄	—	4	1	no	—
465	C₇×C₂²⋊C₄	—	4	1	no	—
466	C₇×C₂²⋊C₄	—	4	1	no	—
467	C₇×C₂²⋊C₄	—	4	1	no	—
468	C₇×C₂²⋊C₄	—	4	1	no	—
469	C₇×C₂²⋊C₄	—	4	1	no	—
470	C₄²×C₇	—	2	2	no	—
471	C₄²×C₇	—	4	1	no	—
472	C₂²⋊Dic₇	—	2	2	no	—
473	C₂²⋊Dic₇	—	2	2	no	—
474	C₂²⋊Dic₇	—	2	2	no	—
475	C₂²⋊Dic₇	—	4	1	no	—
476	C₂²⋊Dic₇	—	4	1	no	—
477	C₂²⋊Dic₇	—	4	1	no	—
478	C₂²⋊Dic₇	—	4	1	no	—
479	C₂²⋊Dic₇	—	4	1	no	—
480	C₂²⋊Dic₇	—	4	1	no	—
481	C₂²⋊Dic₇	—	4	1	no	—
482	C₂²⋊Dic₇	—	4	1	no	—
483	(C₂×D₇)⋊C₄	—	2	2	no	—
484	(C₂×D₇)⋊C₄	—	2	2	no	—
485	(C₂×D₇)⋊C₄	—	2	2	no	—
486	(C₂×D₇)⋊C₄	—	4	1	no	—
487	(C₂×D₇)⋊C₄	—	4	1	no	—
488	(C₂×D₇)⋊C₄	—	4	1	no	—
489	(C₂×D₇)⋊C₄	—	4	1	no	—
490	(C₂×D₇)⋊C₄	—	4	1	no	—
491	(C₂×D₇)⋊C₄	—	4	1	no	—
492	(C₂×D₇)⋊C₄	—	4	1	no	—
493	C₄⋊Dic₇	—	2	2	no	—
494	C₄⋊Dic₇	—	2	2	no	—
495	C₄⋊Dic₇	—	2	2	no	—
496	C₄⋊Dic₇	—	4	1	no	—
497	C₄⋊Dic₇	—	4	1	no	—
498	C₄⋊Dic₇	—	4	1	no	—
499	C₄⋊Dic₇	—	4	1	no	—
500	C₄⋊Dic₇	—	4	1	no	—
501	Dic₇⋊C₄	—	2	2	no	—
502	Dic₇⋊C₄	—	2	2	no	—
503	Dic₇⋊C₄	—	2	2	no	—
504	Dic₇⋊C₄	—	2	2	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	Dic₇⋊C₄	—	4	1	no	—
518	Dic₇⋊C₄	—	4	1	no	—
519	Dic₇⋊C₄	—	4	1	no	—
520	Dic₇⋊C₄	—	4	1	no	—
521	C₄×Dic₇	—	2	2	no	—
522	C₄×Dic₇	—	2	2	no	—
523	C₄×Dic₇	—	2	2	no	—
524	C₄×Dic₇	—	4	1	no	—
525	C₄×Dic₇	—	4	1	no	—
526	C₄×Dic₇	—	4	1	no	—
527	C₄×Dic₇	—	4	1	no	—
528	C₄×Dic₇	—	4	1	no	—
529	C₄×Dic₇	—	4	1	no	—
530	C₄×Dic₇	—	4	1	no	—
531	C₂×#126	C₂×D₇	1	1	yes	characteristic
532	C₂×C₂²⋊Q₈	—	7	1	no	—
533	C₂×C₂²⋊Q₈	—	7	1	no	—
534	C₂×C₂²⋊Q₈	—	7	1	no	—
535	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
536	C₂×C₄×D₄	—	7	1	no	—
537	C₂×C₄×D₄	—	7	1	no	—
538	C₂×#117	—	7	1	no	—
539	C₂²×C₄²	—	7	1	no	—
540	#401	—	7	1	no	—
541	#400	—	7	1	no	—
542	#400	—	7	1	no	—
543	#400	—	7	1	no	—
544	#400	—	7	1	no	—
545	#400	—	7	1	no	—
546	#400	—	7	1	no	—
547	#400	—	7	1	no	—
548	#400	—	7	1	no	—
549	#400	—	7	1	no	—
550	#400	—	7	1	no	—
551	#400	—	7	1	no	—
552	#400	—	7	1	no	—
553	#400	—	7	1	no	—
554	#400	—	7	1	no	—
555	#400	C₂×D₇	1	1	yes	characteristic
556	#399	—	7	1	no	—
557	#399	—	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	#397	—	7	1	no	—
568	#397	—	7	1	no	—
569	#397	—	7	1	no	—
570	#397	—	7	1	no	—
571	#397	—	7	1	no	—
572	#397	—	7	1	no	—
573	#397	—	7	1	no	—
574	#397	—	7	1	no	—
575	#396	—	7	1	no	—
576	#396	—	7	1	no	—
577	#396	C₂×D₇	1	1	yes	characteristic
578	#395	—	7	1	no	—
579	#395	—	7	1	no	—
580	#394	—	7	1	no	—
581	#394	—	7	1	no	—
582	#394	—	7	1	no	—
583	#394	C₂×D₇	1	1	yes	characteristic
584	#394	C₂×D₇	1	1	yes	characteristic
585	#393	—	7	1	no	—
586	#393	C₂×D₇	1	1	yes	characteristic
587	#392	—	7	1	no	—
588	#391	—	7	1	no	—
589	#391	—	7	1	no	—
590	#391	—	7	1	no	—
591	#391	—	7	1	no	—
592	#391	—	7	1	no	—
593	#391	C₂×D₇	1	1	yes	characteristic
594	#390	—	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	C₂×D₇	1	1	yes	characteristic
602	#388	—	7	1	no	—
603	#388	—	7	1	no	—
604	#388	—	7	1	no	—
605	#388	—	7	1	no	—
606	#388	—	7	1	no	—
607	#388	—	7	1	no	—
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	#388	—	7	1	no	—
617	#388	—	7	1	no	—
618	#388	C₂×D₇	1	1	yes	characteristic
619	#388	C₂×D₇	1	1	yes	characteristic
620	#388	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
637	#387	—	7	1	no	—
638	#387	—	7	1	no	—
639	#387	—	7	1	no	—
640	#387	—	7	1	no	—
641	#387	—	7	1	no	—
642	#386	—	7	1	no	—
643	#386	—	7	1	no	—
644	#386	—	7	1	no	—
645	#386	—	7	1	no	—
646	#386	—	7	1	no	—
647	#386	—	7	1	no	—
648	#386	—	7	1	no	—
649	#386	—	7	1	no	—
650	#386	—	7	1	no	—
651	#386	C₂×D₇	1	1	yes	characteristic
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	#385	—	7	1	no	—
659	#385	—	7	1	no	—
660	#385	—	7	1	no	—
661	#385	—	7	1	no	—
662	#385	—	7	1	no	—
663	#385	—	7	1	no	—
664	#383	—	7	1	no	—
665	#383	—	7	1	no	—
666	#383	—	7	1	no	—
667	#383	—	7	1	no	—
668	#382	—	7	1	no	—
669	#381	—	7	1	no	—
670	#381	—	7	1	no	—
671	#381	—	7	1	no	—
672	#381	—	7	1	no	—
673	#380	—	7	1	no	—
674	#380	—	7	1	no	—
675	#380	—	7	1	no	—
676	#380	—	7	1	no	—
677	#380	—	7	1	no	—
678	#380	C₂×D₇	1	1	yes	characteristic
679	C₄×C₄⋊C₄	—	7	1	no	—
680	C₄×C₄⋊C₄	—	7	1	no	—
681	C₄×C₄⋊C₄	—	7	1	no	—
682	C₄×C₂²⋊C₄	—	7	1	no	—
683	C₄×C₂²⋊C₄	—	7	1	no	—
684	#376	—	7	1	no	—
685	C₂×#95	—	7	1	no	—
686	C₂³×C₇	—	2	1	no	—
687	C₂³×C₇	—	2	1	no	—
688	C₂³×C₇	—	2	1	no	—
689	C₂³×C₇	—	2	1	no	—
690	C₂³×C₇	—	2	1	no	—
691	C₂³×C₇	—	2	1	no	—
692	C₂³×C₇	—	2	1	no	—
693	C₂³×C₇	—	2	1	no	—
694	C₂³×C₇	—	2	1	no	—
695	C₂³×C₇	—	2	1	no	—
696	C₂³×C₇	—	2	1	no	—
697	C₂³×C₇	—	2	1	no	—
698	C₂³×C₇	—	2	1	no	—
699	C₂³×C₇	C₂×#41	1	2	yes	—
700	C₂³×C₇	C₂⁵	1	1	yes	characteristic
701	C₂²×D₇	—	2	1	no	—
702	C₂²×D₇	—	2	1	no	—
703	C₂²×D₇	—	2	1	no	—
704	C₂²×D₇	—	2	1	no	—
705	C₂²×D₇	—	2	1	no	—
706	C₂²×D₇	—	2	1	no	—
707	C₂²×D₇	2₋¹⁺⁴	1	2	yes	—
708	C₇×Q₈	—	8	2	no	—
709	C₇×D₄	—	4	4	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	—	2	1	no	—
740	C₂×C₄×C₇	—	2	1	no	—
741	C₂×C₄×C₇	—	2	1	no	—
742	C₂×C₄×C₇	—	2	1	no	—
743	C₂×C₄×C₇	—	2	1	no	—
744	C₂×C₄×C₇	—	2	1	no	—
745	C₂×C₄×C₇	—	2	1	no	—
746	C₂×C₄×C₇	—	2	1	no	—
747	C₂×C₄×C₇	—	2	1	no	—
748	C₂×C₄×C₇	—	8	2	no	—
749	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
750	C₂²⋊D₇	—	4	4	no	—
751	C₂²⋊D₇	—	8	2	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	—	2	1	no	—
782	C₂×Dic₇	—	2	1	no	—
783	C₂×Dic₇	—	2	1	no	—
784	C₂×Dic₇	—	2	1	no	—
785	C₂×Dic₇	—	2	1	no	—
786	C₂×Dic₇	—	2	1	no	—
787	C₂×Dic₇	—	2	1	no	—
788	C₂×Dic₇	—	2	1	no	—
789	C₂×Dic₇	—	2	1	no	—
790	C₂×Dic₇	—	2	1	no	—
791	C₂×Dic₇	—	2	1	no	—
792	C₂×Dic₇	—	2	1	no	—
793	C₂×Dic₇	—	2	1	no	—
794	C₂×Dic₇	—	2	1	no	—
795	C₂×Dic₇	—	4	4	no	—
796	C₂×Dic₇	—	8	2	no	—
797	C₂×Dic₇	—	8	2	no	—
798	C₂×Dic₇	C₂×#41	1	2	yes	—
799	C₂×Dic₇	C₂×#41	1	2	yes	—
800	C₄×D₇	—	4	4	no	—
801	C₄×D₇	—	4	4	no	—
802	C₄×D₇	—	4	4	no	—
803	Dic₁₄	—	8	2	no	—
804	C₂²×Q₈	—	7	1	no	—
805	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
806	C₂²×D₄	—	7	1	no	—
807	C₂²×D₄	—	7	1	no	—
808	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
809	C₂³×C₄	—	7	1	no	—
810	C₂³×C₄	—	7	1	no	—
811	C₂³×C₄	—	7	1	no	—
812	C₂³×C₄	—	7	1	no	—
813	C₂³×C₄	—	7	1	no	—
814	C₂³×C₄	—	7	1	no	—
815	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
816	#126	—	4	2	no	—
817	C₂²⋊Q₈	—	4	2	no	—
818	C₂²⋊Q₈	—	14	4	no	—
819	C₂²⋊Q₈	—	28	2	no	—
820	C₂²⋊Q₈	—	28	2	no	—
821	C₄×D₄	—	14	4	no	—
822	C₄×D₄	—	14	4	no	—
823	#117	—	28	2	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	—	7	1	no	—
847	C₂×C₄⋊C₄	—	7	1	no	—
848	C₂×C₄⋊C₄	—	7	1	no	—
849	C₂×C₄⋊C₄	—	7	1	no	—
850	C₂×C₄⋊C₄	—	7	1	no	—
851	C₂×C₄⋊C₄	—	7	1	no	—
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×C₂²⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
883	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
884	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
885	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
886	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
888	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
890	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
893	C₂×C₄²	—	7	1	no	—
894	C₂×C₄²	—	7	1	no	—
895	C₂×C₄²	—	7	1	no	—
896	C₂×C₄²	—	7	1	no	—
897	C₂×C₄²	—	7	1	no	—
898	C₂×C₄²	—	7	1	no	—
899	C₂×C₄²	—	7	1	no	—
900	C₂×C₄²	—	7	1	no	—
901	C₂×C₄²	—	7	1	no	—
902	C₂×C₄²	—	7	1	no	—
903	C₂×C₄²	—	28	2	no	—
904	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
905	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
939	#95	—	7	1	no	—
940	#95	—	7	1	no	—
941	#95	—	7	1	no	—
942	#95	—	7	1	no	—
943	#95	—	7	1	no	—
944	#95	—	7	1	no	—
945	#95	—	7	1	no	—
946	#95	—	7	1	no	—
947	#95	—	7	1	no	—
948	#95	—	7	1	no	—
949	#95	—	7	1	no	—
950	#95	—	7	1	no	—
951	#95	—	7	1	no	—
952	#95	—	7	1	no	—
953	#95	—	7	1	no	—
954	#95	—	7	1	no	—
955	#95	—	7	1	no	—
956	#95	—	7	1	no	—
957	#95	—	7	1	no	—
958	#95	C₂²×D₇	1	1	yes	characteristic
959	#95	C₂²×D₇	1	1	yes	characteristic
960	#95	C₂²×D₇	1	1	yes	characteristic
961	#95	C₂²×D₇	1	1	yes	characteristic
962	#95	C₂²×D₇	1	1	yes	characteristic
963	#95	C₂²×D₇	1	1	yes	characteristic
964	#95	C₂²×D₇	1	1	yes	characteristic
965	#95	C₂²×D₇	1	1	yes	characteristic
966	#95	C₂²×D₇	1	1	yes	characteristic
967	#95	C₂²×D₇	1	1	yes	characteristic
968	C₂²×C₇	—	2	2	no	—
969	C₂²×C₇	—	2	2	no	—
970	C₂²×C₇	—	2	2	no	—
971	C₂²×C₇	—	4	1	no	—
972	C₂²×C₇	—	4	1	no	—
973	C₂²×C₇	—	4	1	no	—
974	C₂²×C₇	—	4	1	no	—
975	C₂²×C₇	—	4	1	no	—
976	C₂²×C₇	—	4	1	no	—
977	C₂²×C₇	—	4	1	no	—
978	C₂²×C₇	—	4	1	no	—
979	C₂²×C₇	—	4	1	no	—
980	C₂²×C₇	—	4	1	no	—
981	C₂²×C₇	—	4	1	no	—
982	C₂²×C₇	C₂²×#41	1	1	yes	characteristic
983	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
984	C₂²×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
985	C₂²×C₇	#585	1	1	yes	characteristic
986	C₂²×C₇	#585	1	1	yes	characteristic
987	C₂²×C₇	#585	1	1	yes	characteristic
988	C₂²×C₇	#585	1	1	yes	characteristic
989	C₂×D₇	—	2	2	no	—
990	C₂×D₇	—	2	2	no	—
991	C₂×D₇	—	2	2	no	—
992	C₂×D₇	—	4	1	no	—
993	C₂×D₇	—	4	1	no	—
994	C₂×D₇	—	4	1	no	—
995	C₂×D₇	—	4	1	no	—
996	C₄×C₇	—	2	2	no	—
997	C₄×C₇	—	4	1	no	—
998	C₄×C₇	—	4	1	no	—
999	C₄×C₇	—	4	1	no	—
1000	C₄×C₇	—	4	1	no	—
1001	C₄×C₇	—	4	1	no	—
1002	C₄×C₇	—	4	1	no	—
1003	C₄×C₇	—	4	1	no	—
1004	C₄×C₇	—	4	1	no	—
1005	C₄×C₇	—	4	1	no	—
1006	C₄×C₇	—	4	1	no	—
1007	C₄×C₇	—	4	1	no	—
1008	C₄×C₇	—	4	1	no	—
1009	Dic₇	—	2	2	no	—
1010	Dic₇	—	2	2	no	—
1011	Dic₇	—	4	1	no	—
1012	Dic₇	—	4	1	no	—
1013	Dic₇	—	4	1	no	—
1014	Dic₇	—	4	1	no	—
1015	Dic₇	—	4	1	no	—
1016	Dic₇	—	4	1	no	—
1017	Dic₇	—	4	1	no	—
1018	Dic₇	—	4	1	no	—
1019	Dic₇	—	4	1	no	—
1020	Dic₇	—	4	1	no	—
1021	Dic₇	—	4	1	no	—
1022	Dic₇	—	4	1	no	—
1023	Dic₇	—	4	1	no	—
1024	C₂⁴	—	7	1	no	—
1025	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1026	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1027	C₂×Q₈	—	2	2	no	—
1028	C₂×Q₈	—	4	1	no	—
1029	C₂×Q₈	—	4	1	no	—
1030	C₂×Q₈	—	14	2	no	—
1031	C₂×Q₈	—	28	1	no	—
1032	C₂×Q₈	—	28	1	no	—
1033	C₂×D₄	—	2	2	no	—
1034	C₂×D₄	—	4	1	no	—
1035	C₂×D₄	—	4	1	no	—
1036	C₂×D₄	—	14	2	no	—
1037	C₂×D₄	—	14	2	no	—
1038	C₂×D₄	—	14	2	no	—
1039	C₂×D₄	—	28	1	no	—
1040	C₂×D₄	—	28	1	no	—
1041	C₂×D₄	—	28	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	1	no	—
1044	C₂²×C₄	—	4	1	no	—
1045	C₂²×C₄	—	7	1	no	—
1046	C₂²×C₄	—	7	1	no	—
1047	C₂²×C₄	—	7	4	no	—
1048	C₂²×C₄	—	7	1	no	—
1049	C₂²×C₄	—	7	1	no	—
1050	C₂²×C₄	—	7	1	no	—
1051	C₂²×C₄	—	7	1	no	—
1052	C₂²×C₄	—	7	1	no	—
1053	C₂²×C₄	—	7	1	no	—
1054	C₂²×C₄	—	7	1	no	—
1055	C₂²×C₄	—	7	1	no	—
1056	C₂²×C₄	—	7	1	no	—
1057	C₂²×C₄	—	7	1	no	—
1058	C₂²×C₄	—	7	1	no	—
1059	C₂²×C₄	—	7	1	no	—
1060	C₂²×C₄	—	7	1	no	—
1061	C₂²×C₄	—	14	2	no	—
1062	C₂²×C₄	—	14	2	no	—
1063	C₂²×C₄	—	14	2	no	—
1064	C₂²×C₄	—	14	2	no	—
1065	C₂²×C₄	—	28	1	no	—
1066	C₂²×C₄	—	28	1	no	—
1067	C₂²×C₄	—	28	1	no	—
1068	C₂²×C₄	—	28	1	no	—
1069	C₂²×C₄	—	28	1	no	—
1070	C₂²×C₄	—	28	1	no	—
1071	C₂²×C₄	—	28	1	no	—
1072	C₂²×C₄	—	28	1	no	—
1073	C₂²×C₄	—	28	1	no	—
1074	C₂²×C₄	—	28	1	no	—
1075	C₂²×C₄	—	28	1	no	—
1076	C₂²×C₄	—	28	1	no	—
1077	C₂²×C₄	—	28	1	no	—
1078	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	4	1	no	—
1093	C₄⋊C₄	—	4	1	no	—
1094	C₄⋊C₄	—	4	1	no	—
1095	C₄⋊C₄	—	4	1	no	—
1096	C₄⋊C₄	—	4	1	no	—
1097	C₄⋊C₄	—	4	1	no	—
1098	C₄⋊C₄	—	4	1	no	—
1099	C₄⋊C₄	—	4	1	no	—
1100	C₄⋊C₄	—	14	2	no	—
1101	C₄⋊C₄	—	14	2	no	—
1102	C₄⋊C₄	—	14	2	no	—
1103	C₄⋊C₄	—	14	2	no	—
1104	C₄⋊C₄	—	14	2	no	—
1105	C₄⋊C₄	—	14	2	no	—
1106	C₄⋊C₄	—	14	2	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	—	28	1	no	—
1115	C₄⋊C₄	—	28	1	no	—
1116	C₄⋊C₄	—	28	1	no	—
1117	C₄⋊C₄	—	28	1	no	—
1118	C₄⋊C₄	—	28	1	no	—
1119	C₄⋊C₄	—	28	1	no	—
1120	C₄⋊C₄	—	28	1	no	—
1121	C₄⋊C₄	—	28	1	no	—
1122	C₄⋊C₄	—	28	1	no	—
1123	C₄⋊C₄	—	28	1	no	—
1124	C₄⋊C₄	—	28	1	no	—
1125	C₄⋊C₄	—	28	1	no	—
1126	C₄⋊C₄	—	28	1	no	—
1127	C₄⋊C₄	—	28	1	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	4	1	no	—
1133	C₂²⋊C₄	—	4	1	no	—
1134	C₂²⋊C₄	—	4	1	no	—
1135	C₂²⋊C₄	—	4	1	no	—
1136	C₂²⋊C₄	—	4	1	no	—
1137	C₂²⋊C₄	—	4	1	no	—
1138	C₂²⋊C₄	—	4	1	no	—
1139	C₂²⋊C₄	—	14	2	no	—
1140	C₂²⋊C₄	—	14	2	no	—
1141	C₂²⋊C₄	—	14	2	no	—
1142	C₂²⋊C₄	—	14	2	no	—
1143	C₂²⋊C₄	—	14	2	no	—
1144	C₂²⋊C₄	—	14	2	no	—
1145	C₂²⋊C₄	—	28	1	no	—
1146	C₂²⋊C₄	—	28	1	no	—
1147	C₂²⋊C₄	—	28	1	no	—
1148	C₂²⋊C₄	—	28	1	no	—
1149	C₂²⋊C₄	—	28	1	no	—
1150	C₂²⋊C₄	—	28	1	no	—
1151	C₂²⋊C₄	—	28	1	no	—
1152	C₂²⋊C₄	—	28	1	no	—
1153	C₂²⋊C₄	—	28	1	no	—
1154	C₂²⋊C₄	—	28	1	no	—
1155	C₂²⋊C₄	—	28	1	no	—
1156	C₂²⋊C₄	—	28	1	no	—
1157	C₂²⋊C₄	—	28	1	no	—
1158	C₂²⋊C₄	—	28	1	no	—
1159	C₂²⋊C₄	—	28	1	no	—
1160	C₄²	—	2	2	no	—
1161	C₄²	—	4	1	no	—
1162	C₄²	—	14	2	no	—
1163	C₄²	—	14	2	no	—
1164	C₄²	—	14	2	no	—
1165	C₄²	—	28	1	no	—
1166	C₄²	—	28	1	no	—
1167	C₄²	—	28	1	no	—
1168	C₄²	—	28	1	no	—
1169	C₄²	—	28	1	no	—
1170	C₄²	—	28	1	no	—
1171	C₄²	—	28	1	no	—
1172	C₂×C₇	—	4	2	no	—
1173	C₂×C₇	—	8	1	no	—
1174	C₂×C₇	#3455	1	1	yes	characteristic
1175	C₂×C₇	#3495	1	1	yes	characteristic
1176	C₂×C₇	#3505	1	1	yes	characteristic
1177	C₂×C₇	#3533	1	1	yes	characteristic
1178	C₂×C₇	#3541	1	1	yes	characteristic
1179	C₂×C₇	#3564	1	1	yes	characteristic
1180	C₂×C₇	#3566	1	1	yes	characteristic
1181	D₇	—	4	2	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	1	no	—
1191	C₂³	—	2	1	no	—
1192	C₂³	—	2	1	no	—
1193	C₂³	—	2	1	no	—
1194	C₂³	—	2	1	no	—
1195	C₂³	—	7	2	no	—
1196	C₂³	—	14	1	no	—
1197	C₂³	—	14	1	no	—
1198	C₂³	—	14	1	no	—
1199	C₂³	—	14	1	no	—
1200	C₂³	—	14	1	no	—
1201	C₂³	—	14	1	no	—
1202	C₂³	D₇×#41	1	2	yes	—
1203	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1204	Q₈	—	8	2	no	—
1205	Q₈	—	56	2	no	—
1206	D₄	—	4	4	no	—
1207	D₄	—	28	4	no	—
1208	D₄	—	56	2	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	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	7	2	no	—
1248	C₂×C₄	—	7	2	no	—
1249	C₂×C₄	—	8	2	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	—	14	1	no	—
1261	C₂×C₄	—	14	1	no	—
1262	C₂×C₄	—	14	1	no	—
1263	C₂×C₄	—	14	1	no	—
1264	C₂×C₄	—	14	1	no	—
1265	C₂×C₄	—	14	1	no	—
1266	C₂×C₄	—	14	1	no	—
1267	C₂×C₄	—	14	1	no	—
1268	C₂×C₄	—	14	1	no	—
1269	C₂×C₄	—	14	1	no	—
1270	C₂×C₄	—	14	1	no	—
1271	C₂×C₄	—	14	1	no	—
1272	C₂×C₄	—	14	1	no	—
1273	C₂×C₄	—	14	1	no	—
1274	C₂×C₄	—	14	1	no	—
1275	C₂×C₄	—	14	1	no	—
1276	C₂×C₄	—	14	1	no	—
1277	C₂×C₄	—	14	1	no	—
1278	C₂×C₄	—	14	1	no	—
1279	C₂×C₄	—	14	1	no	—
1280	C₂×C₄	—	14	1	no	—
1281	C₂×C₄	—	14	1	no	—
1282	C₂×C₄	—	14	1	no	—
1283	C₂×C₄	—	14	1	no	—
1284	C₂×C₄	—	14	1	no	—
1285	C₂×C₄	—	14	1	no	—
1286	C₂×C₄	—	14	1	no	—
1287	C₂×C₄	—	14	1	no	—
1288	C₂×C₄	—	14	1	no	—
1289	C₂×C₄	—	14	1	no	—
1290	C₂×C₄	—	14	1	no	—
1291	C₂×C₄	—	14	1	no	—
1292	C₂×C₄	—	14	1	no	—
1293	C₂×C₄	—	28	4	no	—
1294	C₂×C₄	—	28	4	no	—
1295	C₂×C₄	—	28	4	no	—
1296	C₂×C₄	—	28	4	no	—
1297	C₂×C₄	—	56	2	no	—
1298	C₂×C₄	—	56	2	no	—
1299	C₂×C₄	#6548	1	2	yes	—
1300	C₇	#36790	1	1	yes	characteristic, complemented, Sylow
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	1	no	—
1306	C₂²	—	4	1	no	—
1307	C₂²	—	4	1	no	—
1308	C₂²	—	4	1	no	—
1309	C₂²	—	4	1	no	—
1310	C₂²	—	4	1	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	4	1	no	—
1314	C₂²	—	4	1	no	—
1315	C₂²	—	14	2	no	—
1316	C₂²	—	14	2	no	—
1317	C₂²	—	14	2	no	—
1318	C₂²	—	28	1	no	—
1319	C₂²	—	28	1	no	—
1320	C₂²	—	28	1	no	—
1321	C₂²	—	28	1	no	—
1322	C₂²	C₂×#6548	1	1	yes	characteristic
1323	C₂²	C₂×D₇×#41	1	1	yes	characteristic
1324	C₂²	#90616	1	1	yes	characteristic
1325	C₂²	#90618	1	1	yes	characteristic
1326	C₂²	#90618	1	1	yes	characteristic
1327	C₂²	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1328	C₂²	#90620	1	1	yes	characteristic
1329	C₄	—	2	2	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	4	1	no	—
1342	C₄	—	14	2	no	—
1343	C₄	—	14	2	no	—
1344	C₄	—	28	1	no	—
1345	C₄	—	28	1	no	—
1346	C₄	—	28	1	no	—
1347	C₄	—	28	1	no	—
1348	C₄	—	28	1	no	—
1349	C₄	—	28	1	no	—
1350	C₄	—	28	1	no	—
1351	C₄	—	28	1	no	—
1352	C₄	—	28	1	no	—
1353	C₄	—	28	1	no	—
1354	C₄	—	28	1	no	—
1355	C₄	—	28	1	no	—
1356	C₄	—	28	1	no	—
1357	C₂	—	4	2	no	—
1358	C₂	—	8	1	no	—
1359	C₂	—	28	2	no	—
1360	C₂	#11743453	1	1	yes	characteristic
1361	C₂	#11743455	1	1	yes	characteristic
1362	C₂	#11743615	1	1	yes	characteristic
1363	C₂	#11743736	1	1	yes	characteristic
1364	C₂	#11743806	1	1	yes	characteristic
1365	C₂	#11743897	1	1	yes	characteristic
1366	C₂	#11744205	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2702	C₂
prime radical	#89995	C₂²
hypercenter	#2702	D₇
hypocenter	C₇	#36790
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2702

Complements

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

N	H ≅ G/N	type
1. C₇×#2702	C₂	semidirect
2. #11740565	C₂	semidirect
3. #11740536	C₂	semidirect
4. #11740276	C₂	semidirect
5. #11740207	C₂	semidirect
6. #11735708	C₂	semidirect
7. #11735638	C₂	semidirect
8. #11735326	C₂	semidirect
9. #11735280	C₂	semidirect
10. #11734820	C₂	semidirect
11. #11734788	C₂	semidirect
13. #11734495	C₂	semidirect
15. #11734342	C₂	semidirect
16. #11734269	C₂	semidirect
17. #11734241	C₂	semidirect
18. #11734108	C₂	semidirect
19. #11734024	C₂	semidirect
20. #11733589	C₂	semidirect
21. #11733502	C₂	semidirect
22. #11733388	C₂	semidirect
23. #11733199	C₂	semidirect
24. #11733174	C₂	semidirect
25. #11733074	C₂	semidirect
26. #11732909	C₂	semidirect
27. #11732894	C₂	semidirect
29. #11732108	C₂	semidirect
30. #11731434	C₂	semidirect
31. #11731388	C₂	semidirect
367. #2702	D₇	semidirect
1300. C₇	#36790	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2702	2
#11740565	2
#11740536	2
#11740276	2
#11740207	2
#11735708	2
#11735638	2
#11735326	2
#11735280	2
#11734820	2
#11734788	2
#11734601	2
#11734495	2
#11734408	2
#11734342	2
#11734269	2
#11734241	2
#11734108	2
#11734024	2
#11733589	2
#11733502	2
#11733388	2
#11733199	2
#11733174	2
#11733074	2
#11732909	2
#11732894	2
#11732376	2
#11732108	2
#11731434	2
#11731388	2
#36790	7