Subgroups — #13561567

Order 1792.

1512 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#2720	C₂	1	1	yes	maximal, characteristic, complemented
2	#11740517	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740493	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740242	C₂	1	1	yes	maximal, characteristic
5	#11740207	C₂	1	1	yes	maximal, characteristic, complemented
6	#11735700	C₂	1	1	yes	maximal, characteristic, complemented
7	#11735679	C₂	1	1	yes	maximal, characteristic, complemented
8	#11735530	C₂	1	1	yes	maximal, characteristic
9	#11735491	C₂	1	1	yes	maximal, characteristic, complemented
10	#11735430	C₂	1	1	yes	maximal, characteristic, complemented
11	#11735262	C₂	1	1	yes	maximal, characteristic, complemented
12	#11734891	C₂	1	1	yes	maximal, characteristic
13	#11734733	C₂	1	1	yes	maximal, characteristic, complemented
14	#11734683	C₂	1	1	yes	maximal, characteristic, complemented
15	#11734674	C₂	1	1	yes	maximal, characteristic, complemented
16	#11734656	C₂	1	1	yes	maximal, characteristic, complemented
17	#11734643	C₂	1	1	yes	maximal, characteristic, complemented
18	#11733732	C₂	1	1	yes	maximal, characteristic, complemented
19	#11733596	C₂	1	1	yes	maximal, characteristic, complemented
20	#11733193	C₂	1	1	yes	maximal, characteristic, complemented
21	#11733167	C₂	1	1	yes	maximal, characteristic, complemented
22	#11732903	C₂	1	1	yes	maximal, characteristic
23	#11732894	C₂	1	1	yes	maximal, characteristic
24	#11732882	C₂	1	1	yes	maximal, characteristic, complemented
25	#11732573	C₂	1	1	yes	maximal, characteristic, complemented
26	#11732026	C₂	1	1	yes	maximal, characteristic
27	#11732019	C₂	1	1	yes	maximal, characteristic, complemented
28	#11731923	C₂	1	1	yes	maximal, characteristic, complemented
29	#11731828	C₂	1	1	yes	maximal, characteristic
30	#11731818	C₂	1	1	yes	maximal, characteristic, complemented
31	#11731786	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#125	C₂²	1	1	yes	characteristic
33	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×#6460	C₂²	1	1	yes	characteristic
35	C₂×#6451	C₂²	1	1	yes	characteristic
36	C₂×(C₂²⋊D₇)⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×#6440	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
39	C₇×#400	C₂²	1	1	yes	characteristic
40	C₇×#399	C₂²	1	1	yes	characteristic
41	C₇×#398	C₂²	1	1	yes	characteristic
42	C₇×#396	C₂²	1	1	yes	characteristic
43	C₇×#395	C₂²	1	1	yes	characteristic
44	C₇×#395	C₂²	1	1	yes	characteristic
45	C₇×#389	C₂²	1	1	yes	characteristic
46	C₇×#388	C₂²	1	1	yes	characteristic
47	C₇×#388	C₂²	1	1	yes	characteristic
48	C₇×#387	C₂²	1	1	yes	characteristic
49	C₇×#385	C₂²	1	1	yes	characteristic
50	C₇×#385	C₂²	1	1	yes	characteristic
51	C₇×#384	C₂²	1	1	yes	characteristic
52	#90003	C₂²	1	1	yes	characteristic
53	#90002	C₂²	1	1	yes	characteristic
54	#90002	C₂²	1	1	yes	characteristic
55	#90001	C₂²	1	1	yes	characteristic
56	#89985	C₂²	1	1	yes	characteristic
57	#89984	C₂²	1	1	yes	characteristic
58	#89982	C₂²	1	1	yes	characteristic
59	C₂×C₇⋊#95	C₂²	1	1	yes	characteristic
60	#89766	C₂²	1	1	yes	characteristic
61	#89766	C₂²	1	1	yes	characteristic
62	#89766	C₂²	1	1	yes	characteristic
63	#89762	C₂²	1	1	yes	characteristic
64	#89761	C₂²	1	1	yes	characteristic
65	#89761	C₂²	1	1	yes	characteristic
66	#89761	C₂²	1	1	yes	characteristic
67	#89761	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	#89759	C₂²	1	1	yes	characteristic
72	#89759	C₂²	1	1	yes	characteristic
73	#89759	C₂²	1	1	yes	characteristic
74	#89758	C₂²	1	1	yes	characteristic
75	#89758	C₂²	1	1	yes	characteristic
76	#89757	C₂²	1	1	yes	characteristic
77	#89756	C₂²	1	1	yes	characteristic
78	#89756	C₂²	1	1	yes	characteristic
79	#89756	C₂²	1	1	yes	characteristic
80	#89755	C₂²	1	1	yes	characteristic
81	#89755	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	#89753	C₂²	1	1	yes	characteristic
88	#89753	C₂²	1	1	yes	characteristic
89	#89753	C₂²	1	1	yes	characteristic
90	#89753	C₂²	1	1	yes	characteristic
91	#89753	C₂²	1	1	yes	characteristic
92	#89753	C₂²	1	1	yes	characteristic
93	#89751	C₂²	1	1	yes	characteristic
94	#89751	C₂²	1	1	yes	characteristic
95	#89751	C₂²	1	1	yes	characteristic
96	#89750	C₂²	1	1	yes	characteristic
97	#89750	C₂²	1	1	yes	characteristic
98	#89750	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	#89750	C₂²	1	1	yes	characteristic
103	#89750	C₂²	1	1	yes	characteristic
104	#89749	C₂²	1	1	yes	characteristic
105	#89749	C₂²	1	1	yes	characteristic
106	C₄⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
107	#89746	C₂²	1	1	yes	characteristic
108	#89746	C₂²	1	1	yes	characteristic
109	#89746	C₂²	1	1	yes	characteristic
110	#89746	C₂²	1	1	yes	characteristic
111	#89745	C₂²	1	1	yes	characteristic
112	#89745	C₂²	1	1	yes	characteristic
113	#89745	C₂²	1	1	yes	characteristic
114	#89744	C₂²	1	1	yes	characteristic
115	#89744	C₂²	1	1	yes	characteristic
116	#89744	C₂²	1	1	yes	characteristic
117	#89744	C₂²	1	1	yes	characteristic
118	#89730	C₂²	1	1	yes	characteristic
119	#89729	C₂²	1	1	yes	characteristic
120	#89729	C₂²	1	1	yes	characteristic
121	#89728	C₂²	1	1	yes	characteristic
122	#89728	C₂²	1	1	yes	characteristic
123	#89723	C₂²	1	1	yes	characteristic
124	#89723	C₂²	1	1	yes	characteristic
125	#89722	C₂²	1	1	yes	characteristic
126	#89722	C₂²	1	1	yes	characteristic
127	#89721	C₂²	1	1	yes	characteristic
128	#89720	C₂²	1	1	yes	characteristic
129	#89719	C₂²	1	1	yes	characteristic
130	#89719	C₂²	1	1	yes	characteristic
131	#89719	C₂²	1	1	yes	characteristic
132	#89719	C₂²	1	1	yes	characteristic
133	#89718	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	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
139	C₂²⋊C₄×Dic₇	C₂²	1	1	yes	characteristic
140	#89712	C₂²	1	1	yes	characteristic
141	#89708	C₂²	1	1	yes	characteristic
142	#89705	C₂²	1	1	yes	characteristic
143	#89705	C₂²	1	1	yes	characteristic
144	C₄×Dic₇⋊C₄	C₂²	1	1	yes	characteristic
145	#89701	C₂²	1	1	yes	characteristic
146	#89700	C₂²	1	1	yes	characteristic
147	#89448	C₂²	1	1	yes	characteristic
148	#89445	C₂²	1	1	yes	characteristic
149	#89445	C₂²	1	1	yes	characteristic
150	#89445	C₂²	1	1	yes	characteristic
151	#89442	C₂²	1	1	yes	characteristic
152	#89441	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	#89432	C₂²	1	1	yes	characteristic
158	#89432	C₂²	1	1	yes	characteristic
159	#89432	C₂²	1	1	yes	characteristic
160	#89432	C₂²	1	1	yes	characteristic
161	#89430	C₂²	1	1	yes	characteristic
162	#89430	C₂²	1	1	yes	characteristic
163	#89430	C₂²	1	1	yes	characteristic
164	#89429	C₂²	1	1	yes	characteristic
165	#89428	C₂²	1	1	yes	characteristic
166	#89428	C₂²	1	1	yes	characteristic
167	#89428	C₂²	1	1	yes	characteristic
168	#89428	C₂²	1	1	yes	characteristic
169	#89427	C₂²	1	1	yes	characteristic
170	#89427	C₂²	1	1	yes	characteristic
171	#89427	C₂²	1	1	yes	characteristic
172	#89425	C₂²	1	1	yes	characteristic
173	#89425	C₂²	1	1	yes	characteristic
174	#89424	C₂²	1	1	yes	characteristic
175	#89424	C₂²	1	1	yes	characteristic
176	#89423	C₂²	1	1	yes	characteristic
177	#89422	C₂²	1	1	yes	characteristic
178	#89420	C₂²	1	1	yes	characteristic
179	#89420	C₂²	1	1	yes	characteristic
180	#89419	C₂²	1	1	yes	characteristic
181	#89418	C₂²	1	1	yes	characteristic
182	#89418	C₂²	1	1	yes	characteristic
183	#89418	C₂²	1	1	yes	characteristic
184	#89418	C₂²	1	1	yes	characteristic
185	#89418	C₂²	1	1	yes	characteristic
186	#89418	C₂²	1	1	yes	characteristic
187	#36755	—	7	1	no	maximal, Sylow
188	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₇	C₂³	1	1	yes	characteristic
191	C₂³×Dic₇	C₂³	1	1	yes	characteristic
192	C₂³×Dic₇	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×C₄×D₇	C₂³	1	1	yes	characteristic
196	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
197	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
198	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₄	C₂³	1	1	yes	characteristic
200	C₇×#125	—	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₇×C₄⋊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×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₇	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×(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×(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×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×C₄×Dic₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₇	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	#6460	—	4	2	no	—
282	#6451	—	4	2	no	—
283	(C₂²⋊D₇)⋊C₄	Q₈	1	8	yes	complemented
284	#6440	—	4	2	no	—
285	C₄²×D₇	—	4	2	no	—
286	C₇×#95	C₂³	1	1	yes	characteristic
287	C₇×#95	C₂³	1	1	yes	characteristic
288	C₇×#95	C₂³	1	1	yes	characteristic
289	C₇×#95	C₂³	1	1	yes	characteristic
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	#2855	—	7	1	no	—
351	#2851	—	7	1	no	—
352	#2805	—	7	1	no	—
353	#2804	—	7	1	no	—
354	#2790	—	7	1	no	—
355	#2788	—	7	1	no	—
356	#2788	—	7	1	no	—
357	#2784	—	7	1	no	—
358	#2780	—	7	1	no	—
359	#2774	—	7	1	no	—
360	#2763	—	7	1	no	—
361	#2763	—	7	1	no	—
362	#2755	—	7	1	no	—
363	#2742	—	7	1	no	—
364	#2729	—	7	1	no	—
365	#2720	D₇	1	1	yes	characteristic, complemented
366	#2713	—	7	1	no	—
367	#2692	—	7	1	no	—
368	#2665	—	7	1	no	—
369	#2665	—	7	1	no	—
370	#2612	—	7	1	no	—
371	#2607	—	7	1	no	—
372	#2605	—	7	1	no	—
373	#2605	—	7	1	no	—
374	#2570	—	7	1	no	—
375	#2569	—	7	1	no	—
376	#2439	—	7	1	no	—
377	#2438	—	7	1	no	—
378	#2319	—	7	1	no	—
379	#2318	—	7	1	no	—
380	#2290	—	7	1	no	—
381	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
382	C₂³×D₇	C₂⁴	1	1	yes	characteristic
383	C₂×C₇×Q₈	—	4	1	no	—
384	C₂×C₇×Q₈	—	4	1	no	—
385	C₂×C₇×Q₈	—	4	1	no	—
386	C₂²×C₄×C₇	—	4	1	no	—
387	C₂²×C₄×C₇	—	4	1	no	—
388	C₂²×C₄×C₇	—	4	1	no	—
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×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	C₂×C₂²⋊D₇	—	4	1	no	—
404	C₂×C₂²⋊D₇	—	4	1	no	—
405	C₂×C₂²⋊D₇	C₂×Q₈	1	4	yes	—
406	C₂²×Dic₇	—	4	1	no	—
407	C₂²×Dic₇	—	4	1	no	—
408	C₂²×Dic₇	—	4	1	no	—
409	C₂²×Dic₇	—	4	1	no	—
410	C₂²×Dic₇	—	4	1	no	—
411	C₂²×Dic₇	C₂×Q₈	1	4	yes	—
412	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₇	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₇	—	2	2	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	—	4	1	no	—
432	C₂×C₄×D₇	—	4	1	no	—
433	C₂×C₄×D₇	—	4	1	no	—
434	C₂×C₄×D₇	—	4	1	no	—
435	C₂×C₄×D₇	C₂×Q₈	1	4	yes	—
436	C₂×Dic₁₄	—	2	2	no	—
437	C₂×Dic₁₄	—	4	1	no	—
438	C₂×Dic₁₄	—	4	1	no	—
439	C₂×Dic₁₄	—	4	1	no	—
440	C₂×Dic₁₄	—	4	1	no	—
441	C₂×Dic₁₄	—	4	1	no	—
442	C₂×Dic₁₄	—	4	1	no	—
443	C₂×Dic₁₄	—	4	1	no	—
444	C₂×Dic₁₄	—	4	1	no	—
445	C₂×Dic₁₄	—	4	1	no	—
446	C₂×Dic₁₄	—	4	1	no	—
447	C₂×Dic₁₄	—	4	1	no	—
448	C₇×C₄⋊C₄	—	2	2	no	—
449	C₇×C₄⋊C₄	—	2	2	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×C₄⋊C₄	—	4	1	no	—
460	C₇×C₄⋊C₄	—	4	1	no	—
461	C₇×C₄⋊C₄	—	4	1	no	—
462	C₇×C₄⋊C₄	—	4	1	no	—
463	C₇×C₂²⋊C₄	—	2	2	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	C₂×Q₈	1	4	yes	—
469	C₄²×C₇	—	2	2	no	—
470	C₄²×C₇	—	4	1	no	—
471	C₂²⋊Dic₇	—	4	1	no	—
472	C₂²⋊Dic₇	—	4	1	no	—
473	C₂²⋊Dic₇	—	4	1	no	—
474	C₂²⋊Dic₇	—	4	1	no	—
475	C₂²⋊Dic₇	—	4	1	no	—
476	(C₂×D₇)⋊C₄	—	4	1	no	—
477	(C₂×D₇)⋊C₄	—	4	1	no	—
478	(C₂×D₇)⋊C₄	—	4	1	no	—
479	(C₂×D₇)⋊C₄	—	4	1	no	—
480	(C₂×D₇)⋊C₄	—	4	1	no	—
481	(C₂×D₇)⋊C₄	—	4	1	no	—
482	(C₂×D₇)⋊C₄	—	4	1	no	—
483	(C₂×D₇)⋊C₄	—	4	1	no	—
484	(C₂×D₇)⋊C₄	—	4	1	no	—
485	(C₂×D₇)⋊C₄	—	4	1	no	—
486	(C₂×D₇)⋊C₄	C₂×Q₈	1	4	yes	—
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	C₄⋊Dic₇	—	4	1	no	—
492	C₄⋊Dic₇	—	4	1	no	—
493	C₄⋊Dic₇	—	4	1	no	—
494	C₄⋊Dic₇	—	4	1	no	—
495	C₄⋊Dic₇	—	4	1	no	—
496	C₄⋊Dic₇	—	4	1	no	—
497	Dic₇⋊C₄	—	2	2	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	C₂×Q₈	1	4	yes	—
516	C₄×Dic₇	—	2	2	no	—
517	C₄×Dic₇	—	4	1	no	—
518	C₄×Dic₇	—	4	1	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×C₄⋊Q₈	—	7	1	no	—
528	C₂×#125	C₂×D₇	1	1	yes	characteristic
529	C₂×C₂²⋊Q₈	—	7	1	no	—
530	C₂×C₂²⋊Q₈	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
539	#400	—	7	1	no	—
540	#400	—	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	C₂×D₇	1	1	yes	characteristic
548	#399	—	7	1	no	—
549	#399	C₂×D₇	1	1	yes	characteristic
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	C₂×D₇	1	1	yes	characteristic
558	#396	—	7	1	no	—
559	#396	—	7	1	no	—
560	#396	—	7	1	no	—
561	#396	—	7	1	no	—
562	#396	—	7	1	no	—
563	#396	C₂×D₇	1	1	yes	characteristic
564	#395	—	7	1	no	—
565	#395	—	7	1	no	—
566	#395	—	7	1	no	—
567	#395	—	7	1	no	—
568	#395	—	7	1	no	—
569	#395	—	7	1	no	—
570	#395	—	7	1	no	—
571	#395	—	7	1	no	—
572	#395	C₂×D₇	1	1	yes	characteristic
573	#395	C₂×D₇	1	1	yes	characteristic
574	#393	—	7	1	no	—
575	#393	—	7	1	no	—
576	#393	—	7	1	no	—
577	#393	—	7	1	no	—
578	#393	—	7	1	no	—
579	#393	—	7	1	no	—
580	#393	—	7	1	no	—
581	#393	—	7	1	no	—
582	#391	—	7	1	no	—
583	#391	—	7	1	no	—
584	#391	—	7	1	no	—
585	#391	—	7	1	no	—
586	#391	—	7	1	no	—
587	#391	—	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	—	7	1	no	—
594	#391	—	7	1	no	—
595	#390	—	7	1	no	—
596	#390	—	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	—	7	1	no	—
604	#389	—	7	1	no	—
605	#389	—	7	1	no	—
606	#389	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
615	#388	C₂×D₇	1	1	yes	characteristic
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	—	7	1	no	—
637	#387	—	7	1	no	—
638	#387	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
657	#385	C₂×D₇	1	1	yes	characteristic
658	#384	C₂×D₇	1	1	yes	characteristic
659	#383	—	7	1	no	—
660	#382	—	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	—	2	1	no	—
683	C₂³×C₇	—	2	1	no	—
684	C₂³×C₇	—	2	1	no	—
685	C₂³×C₇	—	2	1	no	—
686	C₂³×C₇	—	2	1	no	—
687	C₂³×C₇	—	2	1	no	—
688	C₂³×C₇	C₂²×Q₈	1	2	yes	—
689	C₂³×C₇	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
696	C₂²×D₇	C₂²×Q₈	1	2	yes	—
697	C₇×Q₈	—	8	2	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	—	8	2	no	—
738	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
739	C₂×C₄×C₇	C₂²×Q₈	1	2	yes	—
740	C₂×C₄×C₇	H(5,𝔽₂)	1	2	yes	—
741	C₂²⋊D₇	—	4	4	no	—
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	—	2	1	no	—
782	C₂×Dic₇	—	2	1	no	—
783	C₂×Dic₇	—	2	1	no	—
784	C₂×Dic₇	—	4	4	no	—
785	C₂×Dic₇	—	8	2	no	—
786	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
787	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
788	C₂×Dic₇	C₂²×Q₈	1	2	yes	—
789	C₄×D₇	—	4	4	no	—
790	C₄×D₇	—	4	4	no	—
791	C₄×D₇	—	4	4	no	—
792	Dic₁₄	—	8	2	no	—
793	Dic₁₄	—	8	2	no	—
794	Dic₁₄	—	8	2	no	—
795	Dic₁₄	—	8	2	no	—
796	C₂²×Q₈	—	7	1	no	—
797	C₂²×Q₈	—	7	1	no	—
798	C₂²×Q₈	—	7	1	no	—
799	C₂²×Q₈	—	7	1	no	—
800	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
801	C₂²×D₄	—	7	1	no	—
802	C₂³×C₄	—	7	1	no	—
803	C₂³×C₄	—	7	1	no	—
804	C₂³×C₄	—	7	1	no	—
805	C₂³×C₄	—	7	1	no	—
806	C₂³×C₄	—	7	1	no	—
807	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
808	C₄⋊Q₈	—	28	2	no	—
809	#125	—	4	2	no	—
810	C₂²⋊Q₈	—	4	2	no	—
811	C₂²⋊Q₈	—	28	2	no	—
812	C₄×D₄	—	7	8	no	—
813	#117	—	28	2	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	C₂²×D₇	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	7	1	no	—
859	C₂×C₂²⋊C₄	—	7	1	no	—
860	C₂×C₂²⋊C₄	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
877	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
878	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	C₂²×D₇	1	1	yes	characteristic
880	C₂×C₄²	—	7	1	no	—
881	C₂×C₄²	—	7	1	no	—
882	C₂×C₄²	—	7	1	no	—
883	C₂×C₄²	—	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	—	28	2	no	—
892	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
893	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
894	#95	—	7	1	no	—
895	#95	—	7	1	no	—
896	#95	—	7	1	no	—
897	#95	—	7	1	no	—
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	—	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	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	#95	C₂²×D₇	1	1	yes	characteristic
955	#95	C₂²×D₇	1	1	yes	characteristic
956	#95	C₂²×D₇	1	1	yes	characteristic
957	#95	C₂²×D₇	1	1	yes	characteristic
958	C₂²×C₇	—	2	2	no	—
959	C₂²×C₇	—	2	2	no	—
960	C₂²×C₇	—	2	2	no	—
961	C₂²×C₇	—	4	1	no	—
962	C₂²×C₇	—	4	1	no	—
963	C₂²×C₇	—	4	1	no	—
964	C₂²×C₇	—	4	1	no	—
965	C₂²×C₇	C₂³×Q₈	1	1	yes	characteristic
966	C₂²×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
967	C₂²×C₇	#585	1	1	yes	characteristic
968	C₂²×C₇	#585	1	1	yes	characteristic
969	C₂²×C₇	#585	1	1	yes	characteristic
970	C₂²×C₇	#585	1	1	yes	characteristic
971	C₂²×C₇	#585	1	1	yes	characteristic
972	C₂×D₇	—	2	2	no	—
973	C₂×D₇	—	2	2	no	—
974	C₂×D₇	—	2	2	no	—
975	C₂×D₇	—	4	1	no	—
976	C₂×D₇	—	4	1	no	—
977	C₂×D₇	—	4	1	no	—
978	C₂×D₇	—	4	1	no	—
979	C₄×C₇	—	2	2	no	—
980	C₄×C₇	—	2	2	no	—
981	C₄×C₇	—	2	2	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	C₄×C₇	—	4	1	no	—
991	C₄×C₇	—	4	1	no	—
992	C₄×C₇	—	4	1	no	—
993	Dic₇	—	2	2	no	—
994	Dic₇	—	2	2	no	—
995	Dic₇	—	2	2	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	Dic₇	—	4	1	no	—
1005	Dic₇	—	4	1	no	—
1006	Dic₇	—	4	1	no	—
1007	Dic₇	—	4	1	no	—
1008	C₂⁴	—	7	1	no	—
1009	C₂⁴	C₂³×D₇	1	1	yes	characteristic
1010	C₂×Q₈	—	4	1	no	—
1011	C₂×Q₈	—	4	1	no	—
1012	C₂×Q₈	—	4	1	no	—
1013	C₂×Q₈	—	14	2	no	—
1014	C₂×Q₈	—	28	1	no	—
1015	C₂×Q₈	—	28	1	no	—
1016	C₂×Q₈	—	28	1	no	—
1017	C₂×Q₈	—	28	1	no	—
1018	C₂×Q₈	—	28	1	no	—
1019	C₂×Q₈	—	28	1	no	—
1020	C₂×Q₈	—	28	1	no	—
1021	C₂×Q₈	—	28	1	no	—
1022	C₂×Q₈	—	28	1	no	—
1023	C₂×Q₈	—	28	1	no	—
1024	C₂×Q₈	—	28	1	no	—
1025	C₂×D₄	—	7	4	no	—
1026	C₂×D₄	—	28	1	no	—
1027	C₂×D₄	—	28	1	no	—
1028	C₂²×C₄	—	4	1	no	—
1029	C₂²×C₄	—	4	1	no	—
1030	C₂²×C₄	—	4	1	no	—
1031	C₂²×C₄	—	7	1	no	—
1032	C₂²×C₄	—	7	1	no	—
1033	C₂²×C₄	—	7	1	no	—
1034	C₂²×C₄	—	7	4	no	—
1035	C₂²×C₄	—	7	4	no	—
1036	C₂²×C₄	—	7	1	no	—
1037	C₂²×C₄	—	7	1	no	—
1038	C₂²×C₄	—	7	1	no	—
1039	C₂²×C₄	—	7	1	no	—
1040	C₂²×C₄	—	7	1	no	—
1041	C₂²×C₄	—	7	1	no	—
1042	C₂²×C₄	—	7	1	no	—
1043	C₂²×C₄	—	7	1	no	—
1044	C₂²×C₄	—	7	1	no	—
1045	C₂²×C₄	—	7	1	no	—
1046	C₂²×C₄	—	7	1	no	—
1047	C₂²×C₄	—	7	1	no	—
1048	C₂²×C₄	—	14	2	no	—
1049	C₂²×C₄	—	28	1	no	—
1050	C₂²×C₄	—	28	1	no	—
1051	C₂²×C₄	—	28	1	no	—
1052	C₂²×C₄	—	28	1	no	—
1053	C₂²×C₄	—	28	1	no	—
1054	C₂²×C₄	—	28	1	no	—
1055	C₂²×C₄	—	28	1	no	—
1056	C₂²×C₄	—	28	1	no	—
1057	C₂²×C₄	—	28	1	no	—
1058	C₂²×C₄	—	28	1	no	—
1059	C₂²×C₄	—	28	1	no	—
1060	C₂²×C₄	—	28	1	no	—
1061	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	4	1	no	—
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	no	—
1087	C₄⋊C₄	—	4	1	no	—
1088	C₄⋊C₄	—	4	1	no	—
1089	C₄⋊C₄	—	4	1	no	—
1090	C₄⋊C₄	—	7	4	no	—
1091	C₄⋊C₄	—	14	2	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	—	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	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	4	1	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	7	4	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	C₂²⋊C₄	—	28	1	no	—
1138	C₂²⋊C₄	—	28	1	no	—
1139	C₂²⋊C₄	—	28	1	no	—
1140	C₂²⋊C₄	Q₈×D₇	1	4	yes	—
1141	C₄²	—	2	2	no	—
1142	C₄²	—	4	1	no	—
1143	C₄²	—	7	4	no	—
1144	C₄²	—	14	2	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	C₄²	—	28	1	no	—
1151	C₄²	—	28	1	no	—
1152	C₄²	—	28	1	no	—
1153	C₄²	—	28	1	no	—
1154	C₂×C₇	—	4	2	no	—
1155	C₂×C₇	#3458	1	1	yes	characteristic
1156	C₂×C₇	#3501	1	1	yes	characteristic
1157	C₂×C₇	#3504	1	1	yes	characteristic
1158	C₂×C₇	#3533	1	1	yes	characteristic
1159	C₂×C₇	#3540	1	1	yes	characteristic
1160	C₂×C₇	#3566	1	1	yes	characteristic
1161	C₂×C₇	#3568	1	1	yes	characteristic
1162	D₇	—	4	2	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	—	7	2	no	—
1170	C₂³	—	14	1	no	—
1171	C₂³	—	14	1	no	—
1172	C₂³	—	14	1	no	—
1173	C₂³	—	14	1	no	—
1174	C₂³	—	14	1	no	—
1175	C₂³	—	14	1	no	—
1176	C₂³	C₂×Q₈×D₇	1	2	yes	—
1177	C₂³	C₂⁴×D₇	1	1	yes	characteristic
1178	Q₈	—	8	2	no	—
1179	Q₈	—	56	2	no	—
1180	Q₈	—	56	2	no	—
1181	Q₈	—	56	2	no	—
1182	Q₈	—	56	2	no	—
1183	D₄	—	28	4	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	—	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	—	7	2	no	—
1224	C₂×C₄	—	7	2	no	—
1225	C₂×C₄	—	7	2	no	—
1226	C₂×C₄	—	8	2	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	—	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	—	28	4	no	—
1270	C₂×C₄	—	28	4	no	—
1271	C₂×C₄	—	28	4	no	—
1272	C₂×C₄	—	28	4	no	—
1273	C₂×C₄	—	56	2	no	—
1274	C₂×C₄	#6548	1	2	yes	—
1275	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1276	C₂×C₄	C₂×Q₈×D₇	1	2	yes	—
1277	C₇	#36755	1	1	yes	characteristic, complemented, Sylow
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	—	14	2	no	—
1286	C₂²	—	14	2	no	—
1287	C₂²	—	14	2	no	—
1288	C₂²	—	28	1	no	—
1289	C₂²	—	28	1	no	—
1290	C₂²	—	28	1	no	—
1291	C₂²	—	28	1	no	—
1292	C₂²	C₂×#6548	1	1	yes	characteristic
1293	C₂²	C₂²×Q₈×D₇	1	1	yes	characteristic
1294	C₂²	#90616	1	1	yes	characteristic
1295	C₂²	#90618	1	1	yes	characteristic
1296	C₂²	#90618	1	1	yes	characteristic
1297	C₂²	#90620	1	1	yes	characteristic
1298	C₂²	#90620	1	1	yes	characteristic
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	14	2	no	—
1314	C₄	—	14	2	no	—
1315	C₄	—	14	2	no	—
1316	C₄	—	28	1	no	—
1317	C₄	—	28	1	no	—
1318	C₄	—	28	1	no	—
1319	C₄	—	28	1	no	—
1320	C₄	—	28	1	no	—
1321	C₄	—	28	1	no	—
1322	C₄	—	28	1	no	—
1323	C₄	—	28	1	no	—
1324	C₄	—	28	1	no	—
1325	C₄	—	28	1	no	—
1326	C₄	—	28	1	no	—
1327	C₄	—	28	1	no	—
1328	C₂	—	4	2	no	—
1329	C₂	—	28	2	no	—
1330	C₂	#11743390	1	1	yes	characteristic
1331	C₂	#11743518	1	1	yes	characteristic
1332	C₂	#11743649	1	1	yes	characteristic
1333	C₂	#11743772	1	1	yes	characteristic
1334	C₂	#11743829	1	1	yes	characteristic
1335	C₂	#11743995	1	1	yes	characteristic
1336	C₂	#11744194	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₇
commutator, socle, cosocle	C₂³×C₇	C₂⁵
Fitting	C₇×#2720	C₂
prime radical	C₂²×C₂²⋊D₇	C₂³
hypercenter	#2720	D₇
hypocenter	C₇	#36755
LCS	G ▷ C₂³×C₇ ▷ C₇
UCS	C₁ ◁ C₂³ ◁ #2720

Complements

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

N	H ≅ G/N	type
1. C₇×#2720	C₂	semidirect
2. #11740517	C₂	semidirect
3. #11740493	C₂	semidirect
5. #11740207	C₂	semidirect
6. #11735700	C₂	semidirect
7. #11735679	C₂	semidirect
9. #11735491	C₂	semidirect
10. #11735430	C₂	semidirect
11. #11735262	C₂	semidirect
13. #11734733	C₂	semidirect
14. #11734683	C₂	semidirect
15. #11734674	C₂	semidirect
16. #11734656	C₂	semidirect
17. #11734643	C₂	semidirect
18. #11733732	C₂	semidirect
19. #11733596	C₂	semidirect
20. #11733193	C₂	semidirect
21. #11733167	C₂	semidirect
24. #11732882	C₂	semidirect
25. #11732573	C₂	semidirect
27. #11732019	C₂	semidirect
28. #11731923	C₂	semidirect
30. #11731818	C₂	semidirect
31. #11731786	C₂	semidirect
283. (C₂²⋊D₇)⋊C₄	Q₈	semidirect
365. #2720	D₇	semidirect
1277. C₇	#36755	semidirect

Maximal subgroups

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

subgroup	index
C₇×#2720	2
#11740517	2
#11740493	2
#11740242	2
#11740207	2
#11735700	2
#11735679	2
#11735530	2
#11735491	2
#11735430	2
#11735262	2
#11734891	2
#11734733	2
#11734683	2
#11734674	2
#11734656	2
#11734643	2
#11733732	2
#11733596	2
#11733193	2
#11733167	2
#11732903	2
#11732894	2
#11732882	2
#11732573	2
#11732026	2
#11732019	2
#11731923	2
#11731828	2
#11731818	2
#11731786	2
#36755	7