Subgroups — C₇×#62836 #13240052

Order 1792.

7254 conjugacy classes of subgroups.

The subgroup lattice has 1202 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3562	C₂	1	8	yes	maximal, complemented
2	C₇×#3554	C₂	1	4	yes	maximal, complemented
3	C₇×#3546	C₂	1	4	yes	maximal, complemented
4	C₇×#3542	C₂	1	8	yes	maximal, complemented
5	C₇×#3517	C₂	1	4	yes	maximal, complemented
6	C₇×#3514	C₂	1	4	yes	maximal, complemented
7	C₇×#3513	C₂	1	8	yes	maximal, complemented
8	C₇×#3511	C₂	1	4	yes	maximal, complemented
9	C₇×#3510	C₂	1	2	yes	maximal, complemented
10	C₇×#3509	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3508	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3508	C₂	1	4	yes	maximal, complemented
13	C₇×#3500	C₂	1	2	yes	maximal, complemented
14	C₇×#3499	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3498	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3487	C₂	1	2	yes	maximal, complemented
17	C₇×#3485	C₂	1	2	yes	maximal, complemented
18	C₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₇×#532	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₇×2₋¹⁺⁴	C₂²	1	2	yes	complemented
22	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	—
23	C₂²×C₇×#41	C₂²	1	2	yes	complemented
24	C₇×#562	C₂²	1	16	yes	complemented
25	C₇×#560	C₂²	1	16	yes	complemented
26	C₇×#559	C₂²	1	8	yes	complemented
27	C₇×#559	C₂²	1	8	yes	complemented
28	C₇×#559	C₂²	1	4	yes	complemented
29	C₇×#557	C₂²	1	4	yes	complemented
30	C₇×#556	C₂²	1	8	yes	complemented
31	C₇×#556	C₂²	1	4	yes	complemented
32	C₇×#555	C₂²	1	8	yes	complemented
33	C₇×#554	C₂²	1	8	yes	complemented
34	C₇×#553	C₂²	1	16	yes	complemented
35	C₇×#553	C₂²	1	8	yes	complemented
36	C₇×#553	C₂²	1	8	yes	complemented
37	C₇×#552	C₂²	1	8	yes	complemented
38	C₇×#551	C₂²	1	16	yes	complemented
39	C₇×#551	C₂²	1	16	yes	complemented
40	C₇×#550	C₂²	1	8	yes	complemented
41	C₇×#550	C₂²	1	8	yes	complemented
42	C₇×#550	C₂²	1	4	yes	complemented
43	C₇×#550	C₂²	1	8	yes	complemented
44	C₇×#550	C₂²	1	4	yes	complemented
45	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
46	C₇×#548	C₂²	1	8	yes	complemented
47	C₇×#548	C₂²	1	8	yes	complemented
48	C₇×#548	C₂²	1	8	yes	complemented
49	C₇×#547	C₂²	1	8	yes	complemented
50	C₇×#547	C₂²	1	8	yes	complemented
51	C₇×#547	C₂²	1	8	yes	complemented
52	C₇×#547	C₂²	1	4	yes	complemented
53	C₇×#546	C₂²	1	8	yes	complemented
54	C₇×#546	C₂²	1	8	yes	complemented
55	C₇×#546	C₂²	1	8	yes	complemented
56	C₇×#546	C₂²	1	16	yes	complemented
57	C₇×#546	C₂²	1	8	yes	complemented
58	C₇×#546	C₂²	1	8	yes	complemented
59	C₇×#546	C₂²	1	8	yes	complemented
60	C₇×D₄²	C₂²	1	8	yes	—
61	C₇×D₄²	C₂²	1	4	yes	complemented
62	C₇×#542	C₂²	1	8	yes	complemented
63	C₇×#542	C₂²	1	8	yes	complemented
64	C₇×#542	C₂²	1	8	yes	complemented
65	C₇×#541	C₂²	1	4	yes	complemented
66	C₇×#540	C₂²	1	4	yes	complemented
67	C₇×#540	C₂²	1	16	yes	complemented
68	C₇×#540	C₂²	1	8	yes	complemented
69	C₇×#540	C₂²	1	8	yes	complemented
70	C₇×#539	C₂²	1	16	yes	complemented
71	C₇×#538	C₂²	1	16	yes	complemented
72	C₇×#538	C₂²	1	16	yes	complemented
73	C₇×#537	C₂²	1	8	yes	complemented
74	C₇×#536	C₂²	1	2	yes	—
75	C₇×#536	C₂²	1	4	yes	complemented
76	C₇×#536	C₂²	1	2	yes	complemented
77	C₇×#536	C₂²	1	4	yes	complemented
78	C₇×#535	C₂²	1	2	yes	—
79	C₇×#535	C₂²	1	4	yes	complemented
80	C₇×#535	C₂²	1	2	yes	complemented
81	C₇×#535	C₂²	1	8	yes	complemented
82	C₇×#535	C₂²	1	4	yes	complemented
83	C₇×#535	C₂²	1	8	yes	complemented
84	C₇×#534	C₂²	1	8	yes	complemented
85	C₇×#533	C₂²	1	1	yes	characteristic, complemented
86	C₇×#533	C₂²	1	1	yes	characteristic, complemented
87	C₇×#533	C₂²	1	2	yes	complemented
88	C₇×#533	C₂²	1	2	yes	complemented
89	C₇×#533	C₂²	1	4	yes	complemented
90	C₇×#532	C₂²	1	1	yes	characteristic
91	C₇×#532	C₂²	1	1	yes	characteristic
92	C₇×#532	C₂²	1	4	yes	complemented
93	C₇×#532	C₂²	1	4	yes	complemented
94	C₇×#532	C₂²	1	4	yes	complemented
95	C₇×#532	C₂²	1	4	yes	complemented
96	C₇×#532	C₂²	1	2	yes	complemented
97	C₇×#532	C₂²	1	2	yes	complemented
98	C₇×#532	C₂²	1	2	yes	complemented
99	C₇×#532	C₂²	1	2	yes	complemented
100	C₇×#532	C₂²	1	4	yes	complemented
101	C₇×#532	C₂²	1	4	yes	complemented
102	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₇×C₄⋊Q₈	C₂²	1	2	yes	complemented
104	C₂×C₇×#127	C₂²	1	1	yes	characteristic
105	C₂×C₇×#127	C₂²	1	2	yes	complemented
106	C₇×#529	C₂²	1	4	yes	complemented
107	C₇×#529	C₂²	1	4	yes	complemented
108	C₇×#529	C₂²	1	4	yes	complemented
109	C₇×#529	C₂²	1	4	yes	complemented
110	C₇×#529	C₂²	1	2	yes	complemented
111	C₇×#529	C₂²	1	2	yes	complemented
112	C₇×#529	C₂²	1	4	yes	complemented
113	C₇×#529	C₂²	1	8	yes	complemented
114	C₂×C₇×#124	C₂²	1	2	yes	complemented
115	C₂×C₇×#124	C₂²	1	4	yes	complemented
116	C₇×#525	C₂²	1	1	yes	characteristic
117	C₇×#525	C₂²	1	2	yes	complemented
118	C₇×#525	C₂²	1	1	yes	characteristic, complemented
119	C₇×#525	C₂²	1	4	yes	complemented
120	C₇×#525	C₂²	1	4	yes	complemented
121	C₇×#525	C₂²	1	8	yes	complemented
122	C₂×C₇×#123	C₂²	1	8	yes	complemented
123	C₂×C₇×#121	C₂²	1	4	yes	complemented
124	C₇×#520	C₂²	1	8	yes	complemented
125	C₇×#519	C₂²	1	2	yes	complemented
126	C₇×#518	C₂²	1	2	yes	complemented
127	C₇×#518	C₂²	1	8	yes	complemented
128	C₄×C₇×#41	C₂²	1	1	yes	characteristic
129	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
130	C₄×C₇×#41	C₂²	1	2	yes	complemented
131	C₄×C₇×#41	C₂²	1	4	yes	complemented
132	C₄×C₇×#41	C₂²	1	4	yes	complemented
133	C₂×C₄×C₇×D₄	C₂²	1	4	yes	complemented
134	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
135	#62836	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₇×2₋¹⁺⁴	—	4	8	no	—
137	C₇×H(5,𝔽₂)	—	4	8	no	—
138	C₂×C₇×#41	—	4	8	no	—
139	C₂×C₇×#41	C₂³	1	1	yes	characteristic
140	C₂×C₇×#41	C₂³	1	2	yes	—
141	C₂×C₇×#41	C₂³	1	1	yes	characteristic
142	C₂×C₇×#41	C₂³	1	8	yes	—
143	C₂×C₇×#41	C₂³	1	8	yes	—
144	C₂×C₇×#41	C₂³	1	4	yes	—
145	C₂×C₇×#41	C₂³	1	4	yes	—
146	C₂×C₇×#41	C₂³	1	8	yes	—
147	C₂×C₇×#41	C₂³	1	4	yes	—
148	C₂×C₇×#41	C₂³	1	4	yes	—
149	C₂×C₇×#41	C₂³	1	4	yes	—
150	C₂×C₇×#41	C₂³	1	4	yes	—
151	C₂×C₇×#41	C₂³	1	8	yes	—
152	C₂²×C₇×Q₈	C₂³	1	2	yes	—
153	C₂²×C₇×Q₈	C₂³	1	4	yes	—
154	C₂²×C₇×Q₈	C₂³	1	4	yes	—
155	C₂²×C₇×D₄	C₂³	1	2	yes	—
156	C₂²×C₇×D₄	C₂³	1	4	yes	—
157	C₂²×C₇×D₄	C₂³	1	8	yes	—
158	C₂²×C₇×D₄	C₂³	1	4	yes	—
159	C₂²×C₇×D₄	C₂³	1	4	yes	—
160	C₂²×C₇×D₄	C₂³	1	4	yes	—
161	C₂²×C₇×D₄	C₂³	1	8	yes	—
162	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₇	C₂³	1	4	yes	—
164	C₂³×C₄×C₇	C₂³	1	2	yes	—
165	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
169	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
170	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
171	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
174	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
175	C₇×#127	C₂³	1	2	yes	—
176	C₇×#127	C₂³	1	2	yes	—
177	C₇×#127	C₂³	1	4	yes	—
178	C₇×#127	C₂³	1	1	yes	characteristic
179	C₇×#127	C₂³	1	4	yes	—
180	C₇×#127	C₂³	1	8	yes	—
181	C₇×#127	C₂³	1	1	yes	characteristic
182	C₇×#127	C₂³	1	4	yes	—
183	C₇×#127	C₂³	1	16	yes	—
184	C₇×#126	C₂³	1	8	yes	—
185	C₇×#126	C₂³	1	4	yes	—
186	C₇×#126	C₂³	1	4	yes	—
187	C₇×#126	C₂³	1	16	yes	—
188	C₇×#126	C₂³	1	16	yes	—
189	C₇×#126	C₂³	1	16	yes	—
190	C₇×#125	C₂³	1	2	yes	—
191	C₇×#125	C₂³	1	4	yes	—
192	C₇×#125	C₂³	1	2	yes	—
193	C₇×#125	C₂³	1	4	yes	—
194	C₇×#125	C₂³	1	8	yes	—
195	C₇×#125	C₂³	1	16	yes	—
196	C₇×#124	C₂³	1	1	yes	characteristic
197	C₇×#124	C₂³	1	4	yes	—
198	C₇×#124	C₂³	1	4	yes	—
199	C₇×#124	C₂³	1	8	yes	—
200	C₇×#124	C₂³	1	4	yes	—
201	C₇×#124	C₂³	1	4	yes	—
202	C₇×#124	C₂³	1	16	yes	—
203	C₇×#124	C₂³	1	1	yes	characteristic
204	C₇×#124	C₂³	1	2	yes	—
205	C₇×#124	C₂³	1	4	yes	—
206	C₇×#124	C₂³	1	4	yes	—
207	C₇×#124	C₂³	1	4	yes	—
208	C₇×#124	C₂³	1	4	yes	—
209	C₇×#124	C₂³	1	8	yes	—
210	C₇×#124	C₂³	1	16	yes	—
211	C₇×#124	C₂³	1	16	yes	—
212	C₇×#123	C₂³	1	2	yes	—
213	C₇×#123	C₂³	1	4	yes	—
214	C₇×#123	C₂³	1	8	yes	—
215	C₇×#123	C₂³	1	8	yes	—
216	C₇×#123	C₂³	1	16	yes	—
217	C₇×#123	C₂³	1	16	yes	—
218	C₇×#123	C₂³	1	2	yes	—
219	C₇×#123	C₂³	1	4	yes	—
220	C₇×#123	C₂³	1	4	yes	—
221	C₇×#123	C₂³	1	8	yes	—
222	C₇×#123	C₂³	1	16	yes	—
223	C₇×#123	C₂³	1	16	yes	—
224	C₇×#123	C₂³	1	16	yes	—
225	C₇×#123	C₂³	1	16	yes	—
226	C₇×#123	C₂³	1	16	yes	—
227	C₇×#123	C₂³	1	16	yes	—
228	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
230	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
231	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
232	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
233	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
234	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
235	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
236	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
237	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
238	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
239	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
240	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
241	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
242	C₇×#121	C₂³	1	8	yes	—
243	C₇×#121	C₂³	1	8	yes	—
244	C₇×#121	C₂³	1	8	yes	—
245	C₇×#121	C₂³	1	8	yes	—
246	C₇×#121	C₂³	1	2	yes	—
247	C₇×#121	C₂³	1	4	yes	—
248	C₇×#121	C₂³	1	4	yes	—
249	C₇×#121	C₂³	1	4	yes	—
250	C₇×#121	C₂³	1	4	yes	—
251	C₇×#121	C₂³	1	2	yes	—
252	C₇×#121	C₂³	1	4	yes	—
253	C₇×#121	C₂³	1	16	yes	—
254	C₇×#121	C₂³	1	8	yes	—
255	C₇×#121	C₂³	1	8	yes	—
256	C₇×#121	C₂³	1	8	yes	—
257	C₇×#121	C₂³	1	8	yes	—
258	C₇×#121	C₂³	1	8	yes	—
259	C₇×#121	C₂³	1	16	yes	—
260	C₇×#121	C₂³	1	16	yes	—
261	C₇×#121	C₂³	1	16	yes	—
262	C₇×#121	C₂³	1	16	yes	—
263	C₇×#121	C₂³	1	16	yes	—
264	C₇×#121	C₂³	1	16	yes	—
265	C₇×#121	C₂³	1	16	yes	—
266	C₇×#121	C₂³	1	16	yes	—
267	C₇×#120	C₂³	1	2	yes	—
268	C₇×#120	C₂³	1	4	yes	—
269	C₇×#120	C₂³	1	2	yes	—
270	C₇×#120	C₂³	1	8	yes	—
271	C₇×#120	C₂³	1	8	yes	—
272	C₇×#120	C₂³	1	16	yes	—
273	C₇×#120	C₂³	1	16	yes	—
274	C₇×#120	C₂³	1	16	yes	—
275	C₄×C₇×Q₈	C₂³	1	2	yes	—
276	C₄×C₇×Q₈	C₂³	1	4	yes	—
277	C₄×C₇×Q₈	C₂³	1	4	yes	—
278	C₄×C₇×Q₈	C₂³	1	2	yes	—
279	C₄×C₇×Q₈	C₂³	1	4	yes	—
280	C₄×C₇×Q₈	C₂³	1	4	yes	—
281	C₄×C₇×Q₈	C₂³	1	4	yes	—
282	C₄×C₇×Q₈	C₂³	1	8	yes	—
283	C₄×C₇×Q₈	C₂³	1	8	yes	—
284	C₄×C₇×Q₈	C₂³	1	8	yes	—
285	C₄×C₇×D₄	C₂³	1	8	yes	—
286	C₄×C₇×D₄	C₂³	1	8	yes	—
287	C₄×C₇×D₄	C₂³	1	8	yes	—
288	C₄×C₇×D₄	C₂³	1	8	yes	—
289	C₄×C₇×D₄	C₂³	1	4	yes	—
290	C₄×C₇×D₄	C₂³	1	2	yes	—
291	C₄×C₇×D₄	C₂³	1	4	yes	—
292	C₄×C₇×D₄	C₂³	1	4	yes	—
293	C₄×C₇×D₄	C₂³	1	8	yes	—
294	C₄×C₇×D₄	C₂³	1	4	yes	—
295	C₄×C₇×D₄	C₂³	1	8	yes	—
296	C₄×C₇×D₄	C₂³	1	4	yes	—
297	C₄×C₇×D₄	C₂³	1	8	yes	—
298	C₄×C₇×D₄	C₂³	1	4	yes	—
299	C₄×C₇×D₄	C₂³	1	4	yes	—
300	C₄×C₇×D₄	C₂³	1	4	yes	—
301	C₄×C₇×D₄	C₂³	1	4	yes	—
302	C₄×C₇×D₄	C₂³	1	4	yes	—
303	C₄×C₇×D₄	C₂³	1	4	yes	—
304	C₄×C₇×D₄	C₂³	1	2	yes	—
305	C₄×C₇×D₄	C₂³	1	16	yes	—
306	C₄×C₇×D₄	C₂³	1	16	yes	—
307	C₄×C₇×D₄	C₂³	1	8	yes	—
308	C₄×C₇×D₄	C₂³	1	8	yes	—
309	C₄×C₇×D₄	C₂³	1	8	yes	—
310	C₄×C₇×D₄	C₂³	1	8	yes	—
311	C₄×C₇×D₄	C₂³	1	16	yes	—
312	C₄×C₇×D₄	C₂³	1	16	yes	—
313	C₄×C₇×D₄	C₂³	1	8	yes	—
314	C₇×#117	C₂³	1	1	yes	characteristic
315	C₇×#117	C₂³	1	2	yes	—
316	C₇×#117	C₂³	1	1	yes	characteristic
317	C₇×#117	C₂³	1	4	yes	—
318	C₇×#117	C₂³	1	2	yes	—
319	C₇×#117	C₂³	1	4	yes	—
320	C₇×#117	C₂³	1	4	yes	—
321	C₇×#117	C₂³	1	4	yes	—
322	C₇×#117	C₂³	1	4	yes	—
323	C₇×#117	C₂³	1	2	yes	—
324	C₇×#117	C₂³	1	8	yes	—
325	C₇×#117	C₂³	1	8	yes	—
326	C₇×#117	C₂³	1	8	yes	—
327	C₇×#117	C₂³	1	16	yes	—
328	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
329	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	—
330	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
331	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
332	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
333	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
334	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
335	C₂×C₄²×C₇	C₂³	1	2	yes	—
336	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₇	C₂³	1	2	yes	—
339	C₂×C₄²×C₇	C₂³	1	2	yes	—
340	C₂×C₄²×C₇	C₂³	1	2	yes	—
341	C₂×C₄²×C₇	C₂³	1	2	yes	—
342	C₂×C₄²×C₇	C₂³	1	2	yes	—
343	C₂×C₄²×C₇	C₂³	1	4	yes	—
344	C₂×C₄²×C₇	C₂³	1	2	yes	—
345	#3562	C₂×C₇	1	8	yes	complemented
346	#3554	C₂×C₇	1	4	yes	complemented
347	#3546	C₂×C₇	1	4	yes	complemented
348	#3542	C₂×C₇	1	8	yes	complemented
349	#3517	C₂×C₇	1	4	yes	complemented
350	#3514	C₂×C₇	1	4	yes	complemented
351	#3513	C₂×C₇	1	8	yes	complemented
352	#3511	C₂×C₇	1	4	yes	complemented
353	#3510	C₂×C₇	1	2	yes	complemented
354	#3509	C₂×C₇	1	1	yes	characteristic, complemented
355	#3508	C₂×C₇	1	1	yes	characteristic, complemented
356	#3508	C₂×C₇	1	4	yes	complemented
357	#3500	C₂×C₇	1	2	yes	complemented
358	#3499	C₂×C₇	1	1	yes	characteristic, complemented
359	#3498	C₂×C₇	1	1	yes	characteristic, complemented
360	#3487	C₂×C₇	1	2	yes	complemented
361	#3485	C₂×C₇	1	2	yes	complemented
362	#3444	C₂×C₇	1	1	yes	characteristic, complemented
363	#3444	C₂×C₇	1	1	yes	characteristic, complemented
364	C₂×#532	C₂×C₇	1	1	yes	characteristic, complemented
365	C₂⁴×C₇	C₂⁴	1	4	yes	—
366	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₇	C₂⁴	1	8	yes	—
368	C₇×#41	—	2	4	no	—
369	C₇×#41	—	2	8	no	—
370	C₇×#41	—	2	4	no	—
371	C₇×#41	—	4	8	no	—
372	C₇×#41	—	4	16	no	—
373	C₇×#41	—	4	16	no	—
374	C₇×#41	—	4	16	no	—
375	C₇×#41	—	4	8	no	—
376	C₇×#41	—	4	16	no	—
377	C₇×#41	—	4	8	no	—
378	C₇×#41	—	4	8	no	—
379	C₇×#41	—	4	8	no	—
380	C₇×#41	—	4	8	no	—
381	C₂×C₇×Q₈	—	2	8	no	—
382	C₂×C₇×Q₈	—	4	8	no	—
383	C₂×C₇×Q₈	—	4	8	no	—
384	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
385	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
386	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
387	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
388	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
389	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
390	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
391	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
392	C₂×C₇×D₄	—	2	8	no	—
393	C₂×C₇×D₄	—	4	8	no	—
394	C₂×C₇×D₄	—	4	16	no	—
395	C₂×C₇×D₄	—	4	8	no	—
396	C₂×C₇×D₄	—	4	8	no	—
397	C₂×C₇×D₄	—	4	8	no	—
398	C₂×C₇×D₄	—	4	16	no	—
399	C₂×C₇×D₄	C₂⁴	1	8	yes	—
400	C₂×C₇×D₄	C₂⁴	1	4	yes	—
401	C₂×C₇×D₄	C₂⁴	1	2	yes	—
402	C₂×C₇×D₄	C₂⁴	1	4	yes	—
403	C₂×C₇×D₄	C₂⁴	1	2	yes	—
404	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
405	C₂×C₇×D₄	C₂⁴	1	4	yes	—
406	C₂×C₇×D₄	C₂⁴	1	4	yes	—
407	C₂×C₇×D₄	C₂⁴	1	2	yes	—
408	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
409	C₂×C₇×D₄	C₂⁴	1	4	yes	—
410	C₂×C₇×D₄	C₂⁴	1	4	yes	—
411	C₂×C₇×D₄	C₂⁴	1	8	yes	—
412	C₂×C₇×D₄	C₂⁴	1	16	yes	—
413	C₂×C₇×D₄	C₂⁴	1	8	yes	—
414	C₂×C₇×D₄	C₂⁴	1	16	yes	—
415	C₂×C₇×D₄	C₂⁴	1	4	yes	—
416	C₂×C₇×D₄	C₂⁴	1	8	yes	—
417	C₂×C₇×D₄	C₂⁴	1	8	yes	—
418	C₂×C₇×D₄	C₂⁴	1	16	yes	—
419	C₂×C₇×D₄	C₂⁴	1	8	yes	—
420	C₂²×C₄×C₇	—	2	4	no	—
421	C₂²×C₄×C₇	—	4	4	no	—
422	C₂²×C₄×C₇	—	4	8	no	—
423	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
424	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
425	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
426	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
427	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
428	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
430	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
431	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
432	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
433	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
434	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
435	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
436	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
437	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
438	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
439	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
440	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
441	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
442	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
443	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
444	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
445	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
446	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
447	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
448	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
449	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
450	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
451	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
452	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
453	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
454	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
455	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
456	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
457	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
459	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
461	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
462	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
465	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
466	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
467	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
468	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
469	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
470	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
472	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
473	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
474	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
475	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
476	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
477	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
478	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
479	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
480	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
481	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
482	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
484	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
485	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
487	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
488	C₄²×C₇	C₂⁴	1	1	yes	characteristic
489	C₄²×C₇	C₂⁴	1	1	yes	characteristic
490	C₄²×C₇	C₂⁴	1	2	yes	—
491	C₄²×C₇	C₂⁴	1	2	yes	—
492	C₄²×C₇	C₂⁴	1	1	yes	characteristic
493	C₄²×C₇	C₂⁴	1	1	yes	characteristic
494	C₄²×C₇	C₂⁴	1	2	yes	—
495	C₄²×C₇	C₂⁴	1	2	yes	—
496	C₄²×C₇	C₂⁴	1	2	yes	—
497	C₄²×C₇	C₂⁴	1	2	yes	—
498	C₄²×C₇	C₂⁴	1	8	yes	—
499	C₄²×C₇	C₂⁴	1	2	yes	—
500	C₄²×C₇	C₂⁴	1	4	yes	—
501	C₄²×C₇	C₂⁴	1	4	yes	—
502	C₄²×C₇	C₂⁴	1	4	yes	—
503	C₄²×C₇	C₂⁴	1	2	yes	—
504	C₄²×C₇	C₂⁴	1	16	yes	—
505	C₂×2₋¹⁺⁴	C₂²×C₇	1	2	yes	complemented
506	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	—
507	C₂²×#41	C₂²×C₇	1	2	yes	complemented
508	#562	C₂²×C₇	1	16	yes	complemented
509	#560	C₂²×C₇	1	16	yes	complemented
510	#559	C₂²×C₇	1	8	yes	complemented
511	#559	C₂²×C₇	1	8	yes	complemented
512	#559	C₂²×C₇	1	4	yes	complemented
513	#557	C₂²×C₇	1	4	yes	complemented
514	#556	C₂²×C₇	1	4	yes	complemented
515	#556	C₂²×C₇	1	8	yes	complemented
516	#555	C₂²×C₇	1	8	yes	complemented
517	#554	C₂²×C₇	1	8	yes	complemented
518	#553	C₂²×C₇	1	8	yes	complemented
519	#553	C₂²×C₇	1	8	yes	complemented
520	#553	C₂²×C₇	1	16	yes	complemented
521	#552	C₂²×C₇	1	8	yes	complemented
522	#551	C₂²×C₇	1	16	yes	complemented
523	#551	C₂²×C₇	1	16	yes	complemented
524	#550	C₂²×C₇	1	8	yes	complemented
525	#550	C₂²×C₇	1	8	yes	complemented
526	#550	C₂²×C₇	1	4	yes	complemented
527	#550	C₂²×C₇	1	8	yes	complemented
528	#550	C₂²×C₇	1	4	yes	complemented
529	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
530	#548	C₂²×C₇	1	8	yes	complemented
531	#548	C₂²×C₇	1	8	yes	complemented
532	#548	C₂²×C₇	1	8	yes	complemented
533	#547	C₂²×C₇	1	8	yes	complemented
534	#547	C₂²×C₇	1	8	yes	complemented
535	#547	C₂²×C₇	1	8	yes	complemented
536	#547	C₂²×C₇	1	4	yes	complemented
537	#546	C₂²×C₇	1	8	yes	complemented
538	#546	C₂²×C₇	1	8	yes	complemented
539	#546	C₂²×C₇	1	8	yes	complemented
540	#546	C₂²×C₇	1	16	yes	complemented
541	#546	C₂²×C₇	1	8	yes	complemented
542	#546	C₂²×C₇	1	8	yes	complemented
543	#546	C₂²×C₇	1	8	yes	complemented
544	D₄²	C₂²×C₇	1	8	yes	—
545	D₄²	C₂²×C₇	1	4	yes	complemented
546	#542	C₂²×C₇	1	8	yes	complemented
547	#542	C₂²×C₇	1	8	yes	complemented
548	#542	C₂²×C₇	1	8	yes	complemented
549	#541	C₂²×C₇	1	4	yes	complemented
550	#540	C₂²×C₇	1	8	yes	complemented
551	#540	C₂²×C₇	1	8	yes	complemented
552	#540	C₂²×C₇	1	4	yes	complemented
553	#540	C₂²×C₇	1	16	yes	complemented
554	#539	C₂²×C₇	1	16	yes	complemented
555	#538	C₂²×C₇	1	16	yes	complemented
556	#538	C₂²×C₇	1	16	yes	complemented
557	#537	C₂²×C₇	1	8	yes	complemented
558	#536	C₂²×C₇	1	2	yes	—
559	#536	C₂²×C₇	1	2	yes	complemented
560	#536	C₂²×C₇	1	4	yes	complemented
561	#536	C₂²×C₇	1	4	yes	complemented
562	#535	C₂²×C₇	1	2	yes	—
563	#535	C₂²×C₇	1	2	yes	complemented
564	#535	C₂²×C₇	1	8	yes	complemented
565	#535	C₂²×C₇	1	4	yes	complemented
566	#535	C₂²×C₇	1	4	yes	complemented
567	#535	C₂²×C₇	1	8	yes	complemented
568	#534	C₂²×C₇	1	8	yes	complemented
569	#533	C₂²×C₇	1	1	yes	characteristic, complemented
570	#533	C₂²×C₇	1	1	yes	characteristic, complemented
571	#533	C₂²×C₇	1	2	yes	complemented
572	#533	C₂²×C₇	1	2	yes	complemented
573	#533	C₂²×C₇	1	4	yes	complemented
574	#532	C₂²×C₇	1	1	yes	characteristic
575	#532	C₂²×C₇	1	1	yes	characteristic
576	#532	C₂²×C₇	1	4	yes	complemented
577	#532	C₂²×C₇	1	4	yes	complemented
578	#532	C₂²×C₇	1	4	yes	complemented
579	#532	C₂²×C₇	1	4	yes	complemented
580	#532	C₂²×C₇	1	2	yes	complemented
581	#532	C₂²×C₇	1	2	yes	complemented
582	#532	C₂²×C₇	1	2	yes	complemented
583	#532	C₂²×C₇	1	2	yes	complemented
584	#532	C₂²×C₇	1	4	yes	complemented
585	#532	C₂²×C₇	1	4	yes	complemented
586	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
587	C₂×C₄⋊Q₈	C₂²×C₇	1	2	yes	complemented
588	C₂×#127	C₂²×C₇	1	1	yes	characteristic
589	C₂×#127	C₂²×C₇	1	2	yes	complemented
590	#529	C₂²×C₇	1	4	yes	complemented
591	#529	C₂²×C₇	1	4	yes	complemented
592	#529	C₂²×C₇	1	2	yes	complemented
593	#529	C₂²×C₇	1	2	yes	complemented
594	#529	C₂²×C₇	1	4	yes	complemented
595	#529	C₂²×C₇	1	4	yes	complemented
596	#529	C₂²×C₇	1	4	yes	complemented
597	#529	C₂²×C₇	1	8	yes	complemented
598	C₂×#124	C₂²×C₇	1	2	yes	complemented
599	C₂×#124	C₂²×C₇	1	4	yes	complemented
600	#525	C₂²×C₇	1	1	yes	characteristic
601	#525	C₂²×C₇	1	2	yes	complemented
602	#525	C₂²×C₇	1	1	yes	characteristic, complemented
603	#525	C₂²×C₇	1	4	yes	complemented
604	#525	C₂²×C₇	1	4	yes	complemented
605	#525	C₂²×C₇	1	8	yes	complemented
606	C₂×#123	C₂²×C₇	1	8	yes	complemented
607	C₂×#121	C₂²×C₇	1	4	yes	complemented
608	#520	C₂²×C₇	1	8	yes	complemented
609	#519	C₂²×C₇	1	2	yes	complemented
610	#518	C₂²×C₇	1	2	yes	complemented
611	#518	C₂²×C₇	1	8	yes	complemented
612	C₄×#41	C₂²×C₇	1	1	yes	characteristic
613	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
614	C₄×#41	C₂²×C₇	1	2	yes	complemented
615	C₄×#41	C₂²×C₇	1	4	yes	complemented
616	C₄×#41	C₂²×C₇	1	4	yes	complemented
617	C₂×C₄×D₄	C₂²×C₇	1	4	yes	complemented
618	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
619	C₂³×C₇	—	2	2	no	—
620	C₂³×C₇	—	2	8	no	—
621	C₂³×C₇	—	4	2	no	—
622	C₂³×C₇	—	4	8	no	—
623	C₂³×C₇	—	4	8	no	—
624	C₂³×C₇	—	4	16	no	—
625	C₂³×C₇	C₂⁵	1	2	yes	—
626	C₂³×C₇	C₂⁵	1	4	yes	—
627	C₂³×C₇	C₂⁵	1	8	yes	—
628	C₂³×C₇	C₂⁵	1	2	yes	—
629	C₂³×C₇	C₂⁵	1	2	yes	—
630	C₂³×C₇	C₂⁵	1	1	yes	characteristic
631	C₇×Q₈	—	2	8	no	—
632	C₇×Q₈	—	2	8	no	—
633	C₇×Q₈	—	2	2	no	—
634	C₇×Q₈	—	2	4	no	—
635	C₇×Q₈	—	2	2	no	—
636	C₇×Q₈	—	2	8	no	—
637	C₇×Q₈	—	4	8	no	—
638	C₇×Q₈	—	4	4	no	—
639	C₇×D₄	—	2	4	no	—
640	C₇×D₄	—	2	8	no	—
641	C₇×D₄	—	2	4	no	—
642	C₇×D₄	—	2	8	no	—
643	C₇×D₄	—	2	8	no	—
644	C₇×D₄	—	2	2	no	—
645	C₇×D₄	—	2	4	no	—
646	C₇×D₄	—	2	2	no	—
647	C₇×D₄	—	2	16	no	—
648	C₇×D₄	—	2	8	no	—
649	C₇×D₄	—	4	8	no	—
650	C₇×D₄	—	4	8	no	—
651	C₇×D₄	—	4	8	no	—
652	C₇×D₄	—	4	16	no	—
653	C₇×D₄	—	4	16	no	—
654	C₇×D₄	—	4	4	no	—
655	C₇×D₄	—	4	4	no	—
656	C₇×D₄	—	4	4	no	—
657	C₇×D₄	—	4	8	no	—
658	C₇×D₄	—	4	16	no	—
659	C₇×D₄	—	4	8	no	—
660	C₂×C₄×C₇	—	2	2	no	—
661	C₂×C₄×C₇	—	2	8	no	—
662	C₂×C₄×C₇	—	2	4	no	—
663	C₂×C₄×C₇	—	2	4	no	—
664	C₂×C₄×C₇	—	2	4	no	—
665	C₂×C₄×C₇	—	2	8	no	—
666	C₂×C₄×C₇	—	2	4	no	—
667	C₂×C₄×C₇	—	2	4	no	—
668	C₂×C₄×C₇	—	2	4	no	—
669	C₂×C₄×C₇	—	2	4	no	—
670	C₂×C₄×C₇	—	2	8	no	—
671	C₂×C₄×C₇	—	2	8	no	—
672	C₂×C₄×C₇	—	4	2	no	—
673	C₂×C₄×C₇	—	4	2	no	—
674	C₂×C₄×C₇	—	4	2	no	—
675	C₂×C₄×C₇	—	4	16	no	—
676	C₂×C₄×C₇	—	4	8	no	—
677	C₂×C₄×C₇	—	4	8	no	—
678	C₂×C₄×C₇	—	4	8	no	—
679	C₂×C₄×C₇	—	4	8	no	—
680	C₂×C₄×C₇	—	4	16	no	—
681	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
682	C₂×C₄×C₇	C₂⁵	1	2	yes	—
683	C₂×C₄×C₇	C₂⁵	1	4	yes	—
684	C₂×C₄×C₇	C₂⁵	1	2	yes	—
685	C₂×C₄×C₇	C₂⁵	1	8	yes	—
686	C₂×C₄×C₇	C₂⁵	1	2	yes	—
687	C₂×C₄×C₇	C₂⁵	1	2	yes	—
688	C₂×C₄×C₇	C₂⁵	1	4	yes	—
689	C₂×C₄×C₇	C₂⁵	1	2	yes	—
690	C₂×C₄×C₇	C₂⁵	1	4	yes	—
691	C₂×C₄×C₇	C₂⁵	1	8	yes	—
692	C₂×C₄×C₇	C₂⁵	1	2	yes	—
693	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
694	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
695	C₂×C₄×C₇	C₂⁵	1	2	yes	—
696	2₋¹⁺⁴	—	4	8	no	—
697	H(5,𝔽₂)	—	4	8	no	—
698	C₂×#41	—	4	8	no	—
699	C₂×#41	C₂³×C₇	1	1	yes	characteristic
700	C₂×#41	C₂³×C₇	1	2	yes	—
701	C₂×#41	C₂³×C₇	1	1	yes	characteristic
702	C₂×#41	C₂³×C₇	1	4	yes	—
703	C₂×#41	C₂³×C₇	1	4	yes	—
704	C₂×#41	C₂³×C₇	1	8	yes	—
705	C₂×#41	C₂³×C₇	1	8	yes	—
706	C₂×#41	C₂³×C₇	1	8	yes	—
707	C₂×#41	C₂³×C₇	1	8	yes	—
708	C₂×#41	C₂³×C₇	1	4	yes	—
709	C₂×#41	C₂³×C₇	1	4	yes	—
710	C₂×#41	C₂³×C₇	1	4	yes	—
711	C₂×#41	C₂³×C₇	1	4	yes	—
712	C₂²×Q₈	C₂³×C₇	1	2	yes	—
713	C₂²×Q₈	C₂³×C₇	1	4	yes	—
714	C₂²×Q₈	C₂³×C₇	1	4	yes	—
715	C₂²×D₄	C₂³×C₇	1	2	yes	—
716	C₂²×D₄	C₂³×C₇	1	4	yes	—
717	C₂²×D₄	C₂³×C₇	1	8	yes	—
718	C₂²×D₄	C₂³×C₇	1	4	yes	—
719	C₂²×D₄	C₂³×C₇	1	8	yes	—
720	C₂²×D₄	C₂³×C₇	1	4	yes	—
721	C₂²×D₄	C₂³×C₇	1	4	yes	—
722	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
723	C₂³×C₄	C₂³×C₇	1	4	yes	—
724	C₂³×C₄	C₂³×C₇	1	2	yes	—
725	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
726	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
727	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
728	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
729	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
730	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
731	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
732	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
733	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
734	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
735	#127	C₂³×C₇	1	2	yes	—
736	#127	C₂³×C₇	1	2	yes	—
737	#127	C₂³×C₇	1	4	yes	—
738	#127	C₂³×C₇	1	1	yes	characteristic
739	#127	C₂³×C₇	1	4	yes	—
740	#127	C₂³×C₇	1	8	yes	—
741	#127	C₂³×C₇	1	1	yes	characteristic
742	#127	C₂³×C₇	1	4	yes	—
743	#127	C₂³×C₇	1	16	yes	—
744	#126	C₂³×C₇	1	8	yes	—
745	#126	C₂³×C₇	1	4	yes	—
746	#126	C₂³×C₇	1	4	yes	—
747	#126	C₂³×C₇	1	16	yes	—
748	#126	C₂³×C₇	1	16	yes	—
749	#126	C₂³×C₇	1	16	yes	—
750	#125	C₂³×C₇	1	2	yes	—
751	#125	C₂³×C₇	1	4	yes	—
752	#125	C₂³×C₇	1	2	yes	—
753	#125	C₂³×C₇	1	4	yes	—
754	#125	C₂³×C₇	1	8	yes	—
755	#125	C₂³×C₇	1	16	yes	—
756	#124	C₂³×C₇	1	1	yes	characteristic
757	#124	C₂³×C₇	1	4	yes	—
758	#124	C₂³×C₇	1	4	yes	—
759	#124	C₂³×C₇	1	8	yes	—
760	#124	C₂³×C₇	1	4	yes	—
761	#124	C₂³×C₇	1	4	yes	—
762	#124	C₂³×C₇	1	16	yes	—
763	#124	C₂³×C₇	1	1	yes	characteristic
764	#124	C₂³×C₇	1	2	yes	—
765	#124	C₂³×C₇	1	4	yes	—
766	#124	C₂³×C₇	1	4	yes	—
767	#124	C₂³×C₇	1	4	yes	—
768	#124	C₂³×C₇	1	4	yes	—
769	#124	C₂³×C₇	1	8	yes	—
770	#124	C₂³×C₇	1	16	yes	—
771	#124	C₂³×C₇	1	16	yes	—
772	#123	C₂³×C₇	1	2	yes	—
773	#123	C₂³×C₇	1	4	yes	—
774	#123	C₂³×C₇	1	8	yes	—
775	#123	C₂³×C₇	1	8	yes	—
776	#123	C₂³×C₇	1	16	yes	—
777	#123	C₂³×C₇	1	16	yes	—
778	#123	C₂³×C₇	1	2	yes	—
779	#123	C₂³×C₇	1	4	yes	—
780	#123	C₂³×C₇	1	4	yes	—
781	#123	C₂³×C₇	1	8	yes	—
782	#123	C₂³×C₇	1	16	yes	—
783	#123	C₂³×C₇	1	16	yes	—
784	#123	C₂³×C₇	1	16	yes	—
785	#123	C₂³×C₇	1	16	yes	—
786	#123	C₂³×C₇	1	16	yes	—
787	#123	C₂³×C₇	1	16	yes	—
788	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
789	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
790	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
791	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
792	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
793	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
794	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
795	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
796	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
797	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
798	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
799	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
800	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
801	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
802	#121	C₂³×C₇	1	8	yes	—
803	#121	C₂³×C₇	1	8	yes	—
804	#121	C₂³×C₇	1	8	yes	—
805	#121	C₂³×C₇	1	8	yes	—
806	#121	C₂³×C₇	1	2	yes	—
807	#121	C₂³×C₇	1	4	yes	—
808	#121	C₂³×C₇	1	4	yes	—
809	#121	C₂³×C₇	1	4	yes	—
810	#121	C₂³×C₇	1	4	yes	—
811	#121	C₂³×C₇	1	2	yes	—
812	#121	C₂³×C₇	1	4	yes	—
813	#121	C₂³×C₇	1	16	yes	—
814	#121	C₂³×C₇	1	8	yes	—
815	#121	C₂³×C₇	1	8	yes	—
816	#121	C₂³×C₇	1	8	yes	—
817	#121	C₂³×C₇	1	8	yes	—
818	#121	C₂³×C₇	1	8	yes	—
819	#121	C₂³×C₇	1	16	yes	—
820	#121	C₂³×C₇	1	16	yes	—
821	#121	C₂³×C₇	1	16	yes	—
822	#121	C₂³×C₇	1	16	yes	—
823	#121	C₂³×C₇	1	16	yes	—
824	#121	C₂³×C₇	1	16	yes	—
825	#121	C₂³×C₇	1	16	yes	—
826	#121	C₂³×C₇	1	16	yes	—
827	#120	C₂³×C₇	1	2	yes	—
828	#120	C₂³×C₇	1	4	yes	—
829	#120	C₂³×C₇	1	2	yes	—
830	#120	C₂³×C₇	1	8	yes	—
831	#120	C₂³×C₇	1	8	yes	—
832	#120	C₂³×C₇	1	16	yes	—
833	#120	C₂³×C₇	1	16	yes	—
834	#120	C₂³×C₇	1	16	yes	—
835	C₄×Q₈	C₂³×C₇	1	2	yes	—
836	C₄×Q₈	C₂³×C₇	1	4	yes	—
837	C₄×Q₈	C₂³×C₇	1	4	yes	—
838	C₄×Q₈	C₂³×C₇	1	2	yes	—
839	C₄×Q₈	C₂³×C₇	1	4	yes	—
840	C₄×Q₈	C₂³×C₇	1	4	yes	—
841	C₄×Q₈	C₂³×C₇	1	4	yes	—
842	C₄×Q₈	C₂³×C₇	1	8	yes	—
843	C₄×Q₈	C₂³×C₇	1	8	yes	—
844	C₄×Q₈	C₂³×C₇	1	8	yes	—
845	C₄×D₄	C₂³×C₇	1	8	yes	—
846	C₄×D₄	C₂³×C₇	1	8	yes	—
847	C₄×D₄	C₂³×C₇	1	8	yes	—
848	C₄×D₄	C₂³×C₇	1	8	yes	—
849	C₄×D₄	C₂³×C₇	1	4	yes	—
850	C₄×D₄	C₂³×C₇	1	2	yes	—
851	C₄×D₄	C₂³×C₇	1	4	yes	—
852	C₄×D₄	C₂³×C₇	1	4	yes	—
853	C₄×D₄	C₂³×C₇	1	8	yes	—
854	C₄×D₄	C₂³×C₇	1	4	yes	—
855	C₄×D₄	C₂³×C₇	1	8	yes	—
856	C₄×D₄	C₂³×C₇	1	4	yes	—
857	C₄×D₄	C₂³×C₇	1	8	yes	—
858	C₄×D₄	C₂³×C₇	1	4	yes	—
859	C₄×D₄	C₂³×C₇	1	4	yes	—
860	C₄×D₄	C₂³×C₇	1	4	yes	—
861	C₄×D₄	C₂³×C₇	1	4	yes	—
862	C₄×D₄	C₂³×C₇	1	4	yes	—
863	C₄×D₄	C₂³×C₇	1	4	yes	—
864	C₄×D₄	C₂³×C₇	1	2	yes	—
865	C₄×D₄	C₂³×C₇	1	16	yes	—
866	C₄×D₄	C₂³×C₇	1	16	yes	—
867	C₄×D₄	C₂³×C₇	1	8	yes	—
868	C₄×D₄	C₂³×C₇	1	8	yes	—
869	C₄×D₄	C₂³×C₇	1	8	yes	—
870	C₄×D₄	C₂³×C₇	1	8	yes	—
871	C₄×D₄	C₂³×C₇	1	16	yes	—
872	C₄×D₄	C₂³×C₇	1	16	yes	—
873	C₄×D₄	C₂³×C₇	1	8	yes	—
874	#117	C₂³×C₇	1	1	yes	characteristic
875	#117	C₂³×C₇	1	2	yes	—
876	#117	C₂³×C₇	1	1	yes	characteristic
877	#117	C₂³×C₇	1	4	yes	—
878	#117	C₂³×C₇	1	2	yes	—
879	#117	C₂³×C₇	1	4	yes	—
880	#117	C₂³×C₇	1	4	yes	—
881	#117	C₂³×C₇	1	4	yes	—
882	#117	C₂³×C₇	1	4	yes	—
883	#117	C₂³×C₇	1	2	yes	—
884	#117	C₂³×C₇	1	8	yes	—
885	#117	C₂³×C₇	1	8	yes	—
886	#117	C₂³×C₇	1	8	yes	—
887	#117	C₂³×C₇	1	16	yes	—
888	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
889	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	—
890	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
891	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
892	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
893	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
894	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
895	C₂×C₄²	C₂³×C₇	1	2	yes	—
896	C₂×C₄²	C₂³×C₇	1	2	yes	—
897	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
898	C₂×C₄²	C₂³×C₇	1	4	yes	—
899	C₂×C₄²	C₂³×C₇	1	2	yes	—
900	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
901	C₂×C₄²	C₂³×C₇	1	2	yes	—
902	C₂×C₄²	C₂³×C₇	1	2	yes	—
903	C₂×C₄²	C₂³×C₇	1	2	yes	—
904	C₂×C₄²	C₂³×C₇	1	2	yes	—
905	C₂²×C₇	—	2	2	no	—
906	C₂²×C₇	—	2	2	no	—
907	C₂²×C₇	—	2	2	no	—
908	C₂²×C₇	—	2	4	no	—
909	C₂²×C₇	—	2	2	no	—
910	C₂²×C₇	—	2	8	no	—
911	C₂²×C₇	—	2	2	no	—
912	C₂²×C₇	—	2	2	no	—
913	C₂²×C₇	—	2	4	no	—
914	C₂²×C₇	—	2	4	no	—
915	C₂²×C₇	—	2	16	no	—
916	C₂²×C₇	—	2	8	no	—
917	C₂²×C₇	—	4	4	no	—
918	C₂²×C₇	—	8	8	no	—
919	C₂²×C₇	—	16	8	no	—
920	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
921	C₂²×C₇	C₂⁶	1	1	yes	characteristic
922	C₄×C₇	—	2	2	no	—
923	C₄×C₇	—	2	2	no	—
924	C₄×C₇	—	2	4	no	—
925	C₄×C₇	—	2	2	no	—
926	C₄×C₇	—	2	8	no	—
927	C₄×C₇	—	2	2	no	—
928	C₄×C₇	—	2	4	no	—
929	C₄×C₇	—	2	2	no	—
930	C₄×C₇	—	2	2	no	—
931	C₄×C₇	—	2	4	no	—
932	C₄×C₇	—	2	8	no	—
933	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
934	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
935	C₄×C₇	#585	1	4	yes	—
936	C₂⁴	C₂⁴×C₇	1	4	yes	—
937	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
938	C₂⁴	C₂⁴×C₇	1	8	yes	—
939	#41	—	2	4	no	—
940	#41	—	2	8	no	—
941	#41	—	2	4	no	—
942	#41	—	4	8	no	—
943	#41	—	4	16	no	—
944	#41	—	4	16	no	—
945	#41	—	4	16	no	—
946	#41	—	4	8	no	—
947	#41	—	4	8	no	—
948	#41	—	4	8	no	—
949	#41	—	4	8	no	—
950	#41	—	4	8	no	—
951	#41	—	4	16	no	—
952	C₂×Q₈	—	2	8	no	—
953	C₂×Q₈	—	4	8	no	—
954	C₂×Q₈	—	4	8	no	—
955	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
956	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
957	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
958	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
959	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
960	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
961	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
962	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
963	C₂×D₄	—	2	8	no	—
964	C₂×D₄	—	4	8	no	—
965	C₂×D₄	—	4	16	no	—
966	C₂×D₄	—	4	8	no	—
967	C₂×D₄	—	4	8	no	—
968	C₂×D₄	—	4	8	no	—
969	C₂×D₄	—	4	16	no	—
970	C₂×D₄	C₂⁴×C₇	1	8	yes	—
971	C₂×D₄	C₂⁴×C₇	1	4	yes	—
972	C₂×D₄	C₂⁴×C₇	1	2	yes	—
973	C₂×D₄	C₂⁴×C₇	1	4	yes	—
974	C₂×D₄	C₂⁴×C₇	1	2	yes	—
975	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
976	C₂×D₄	C₂⁴×C₇	1	4	yes	—
977	C₂×D₄	C₂⁴×C₇	1	4	yes	—
978	C₂×D₄	C₂⁴×C₇	1	2	yes	—
979	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
980	C₂×D₄	C₂⁴×C₇	1	4	yes	—
981	C₂×D₄	C₂⁴×C₇	1	4	yes	—
982	C₂×D₄	C₂⁴×C₇	1	8	yes	—
983	C₂×D₄	C₂⁴×C₇	1	16	yes	—
984	C₂×D₄	C₂⁴×C₇	1	8	yes	—
985	C₂×D₄	C₂⁴×C₇	1	16	yes	—
986	C₂×D₄	C₂⁴×C₇	1	4	yes	—
987	C₂×D₄	C₂⁴×C₇	1	8	yes	—
988	C₂×D₄	C₂⁴×C₇	1	8	yes	—
989	C₂×D₄	C₂⁴×C₇	1	16	yes	—
990	C₂×D₄	C₂⁴×C₇	1	8	yes	—
991	C₂²×C₄	—	2	4	no	—
992	C₂²×C₄	—	4	4	no	—
993	C₂²×C₄	—	4	8	no	—
994	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
995	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
996	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
997	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
998	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
999	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1001	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1002	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1003	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1004	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1005	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1006	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1007	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1008	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1009	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1010	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
1011	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1012	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
1013	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1014	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1015	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1016	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1017	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1018	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1019	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1020	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1021	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1022	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1023	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1024	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1025	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1026	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1027	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1028	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1029	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1030	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1031	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1032	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1033	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1034	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1035	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1036	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1037	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1038	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1039	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1040	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1041	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1042	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1043	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1044	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1045	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1046	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1047	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1048	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1049	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1050	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1051	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1052	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1053	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1054	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1055	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1056	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1057	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1058	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1059	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1060	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1061	C₄²	C₂⁴×C₇	1	2	yes	—
1062	C₄²	C₂⁴×C₇	1	2	yes	—
1063	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1064	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1065	C₄²	C₂⁴×C₇	1	2	yes	—
1066	C₄²	C₂⁴×C₇	1	2	yes	—
1067	C₄²	C₂⁴×C₇	1	2	yes	—
1068	C₄²	C₂⁴×C₇	1	2	yes	—
1069	C₄²	C₂⁴×C₇	1	8	yes	—
1070	C₄²	C₂⁴×C₇	1	2	yes	—
1071	C₄²	C₂⁴×C₇	1	4	yes	—
1072	C₄²	C₂⁴×C₇	1	4	yes	—
1073	C₄²	C₂⁴×C₇	1	4	yes	—
1074	C₄²	C₂⁴×C₇	1	2	yes	—
1075	C₄²	C₂⁴×C₇	1	16	yes	—
1076	C₂×C₇	—	2	2	no	—
1077	C₂×C₇	—	4	2	no	—
1078	C₂×C₇	—	4	2	no	—
1079	C₂×C₇	—	4	8	no	—
1080	C₂×C₇	—	4	4	no	—
1081	C₂×C₇	—	4	2	no	—
1082	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1083	C₂×C₇	C₂×#585	1	2	yes	—
1084	C₂³	—	2	2	no	—
1085	C₂³	—	2	8	no	—
1086	C₂³	—	4	2	no	—
1087	C₂³	—	4	8	no	—
1088	C₂³	—	4	8	no	—
1089	C₂³	—	4	16	no	—
1090	C₂³	C₂⁵×C₇	1	2	yes	—
1091	C₂³	C₂⁵×C₇	1	4	yes	—
1092	C₂³	C₂⁵×C₇	1	8	yes	—
1093	C₂³	C₂⁵×C₇	1	2	yes	—
1094	C₂³	C₂⁵×C₇	1	2	yes	—
1095	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1096	Q₈	—	2	8	no	—
1097	Q₈	—	2	8	no	—
1098	Q₈	—	2	2	no	—
1099	Q₈	—	2	4	no	—
1100	Q₈	—	2	2	no	—
1101	Q₈	—	2	8	no	—
1102	Q₈	—	4	8	no	—
1103	Q₈	—	4	4	no	—
1104	D₄	—	2	4	no	—
1105	D₄	—	2	8	no	—
1106	D₄	—	2	4	no	—
1107	D₄	—	2	8	no	—
1108	D₄	—	2	8	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	4	no	—
1111	D₄	—	2	2	no	—
1112	D₄	—	2	16	no	—
1113	D₄	—	2	8	no	—
1114	D₄	—	4	8	no	—
1115	D₄	—	4	8	no	—
1116	D₄	—	4	8	no	—
1117	D₄	—	4	16	no	—
1118	D₄	—	4	16	no	—
1119	D₄	—	4	4	no	—
1120	D₄	—	4	4	no	—
1121	D₄	—	4	4	no	—
1122	D₄	—	4	8	no	—
1123	D₄	—	4	16	no	—
1124	D₄	—	4	8	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	8	no	—
1127	C₂×C₄	—	2	4	no	—
1128	C₂×C₄	—	2	4	no	—
1129	C₂×C₄	—	2	4	no	—
1130	C₂×C₄	—	2	8	no	—
1131	C₂×C₄	—	2	4	no	—
1132	C₂×C₄	—	2	4	no	—
1133	C₂×C₄	—	2	4	no	—
1134	C₂×C₄	—	2	4	no	—
1135	C₂×C₄	—	2	8	no	—
1136	C₂×C₄	—	2	8	no	—
1137	C₂×C₄	—	4	2	no	—
1138	C₂×C₄	—	4	2	no	—
1139	C₂×C₄	—	4	2	no	—
1140	C₂×C₄	—	4	16	no	—
1141	C₂×C₄	—	4	8	no	—
1142	C₂×C₄	—	4	8	no	—
1143	C₂×C₄	—	4	8	no	—
1144	C₂×C₄	—	4	8	no	—
1145	C₂×C₄	—	4	16	no	—
1146	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1147	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1148	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1149	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1150	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1151	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1152	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1153	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1154	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1155	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1156	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1157	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1158	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1159	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1160	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1161	C₇	#62836	1	1	yes	characteristic, direct product factor, Sylow
1162	C₂²	—	2	2	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	4	no	—
1166	C₂²	—	2	2	no	—
1167	C₂²	—	2	8	no	—
1168	C₂²	—	2	2	no	—
1169	C₂²	—	2	2	no	—
1170	C₂²	—	2	4	no	—
1171	C₂²	—	2	4	no	—
1172	C₂²	—	2	16	no	—
1173	C₂²	—	2	8	no	—
1174	C₂²	—	4	4	no	—
1175	C₂²	—	8	8	no	—
1176	C₂²	—	16	8	no	—
1177	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1178	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1179	C₄	—	2	2	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	4	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	8	no	—
1184	C₄	—	2	2	no	—
1185	C₄	—	2	4	no	—
1186	C₄	—	2	2	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	2	4	no	—
1189	C₄	—	2	8	no	—
1190	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1191	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1192	C₄	C₇×#585	1	4	yes	—
1193	C₂	—	2	2	no	—
1194	C₂	—	4	2	no	—
1195	C₂	—	4	8	no	—
1196	C₂	—	4	2	no	—
1197	C₂	—	4	4	no	—
1198	C₂	—	4	2	no	—
1199	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1200	C₂	C₂×C₇×#585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3562	C₂	semidirect
2. C₇×#3554	C₂	semidirect
3. C₇×#3546	C₂	semidirect
4. C₇×#3542	C₂	semidirect
5. C₇×#3517	C₂	semidirect
6. C₇×#3514	C₂	semidirect
7. C₇×#3513	C₂	semidirect
8. C₇×#3511	C₂	semidirect
9. C₇×#3510	C₂	semidirect
10. C₇×#3509	C₂	semidirect
11. C₇×#3508	C₂	semidirect
12. C₇×#3508	C₂	semidirect
13. C₇×#3500	C₂	semidirect
14. C₇×#3499	C₂	semidirect
15. C₇×#3498	C₂	semidirect
16. C₇×#3487	C₂	semidirect
17. C₇×#3485	C₂	semidirect
18. C₇×#3444	C₂	semidirect
19. C₇×#3444	C₂	semidirect
20. C₂×C₇×#532	C₂	semidirect
21. C₂×C₇×2₋¹⁺⁴	C₂²	semidirect
23. C₂²×C₇×#41	C₂²	semidirect
24. C₇×#562	C₂²	semidirect
25. C₇×#560	C₂²	semidirect
26. C₇×#559	C₂²	semidirect
27. C₇×#559	C₂²	semidirect
28. C₇×#559	C₂²	semidirect
29. C₇×#557	C₂²	semidirect
30. C₇×#556	C₂²	semidirect
31. C₇×#556	C₂²	semidirect
32. C₇×#555	C₂²	semidirect
33. C₇×#554	C₂²	semidirect
34. C₇×#553	C₂²	semidirect
35. C₇×#553	C₂²	semidirect
36. C₇×#553	C₂²	semidirect
37. C₇×#552	C₂²	semidirect
38. C₇×#551	C₂²	semidirect
39. C₇×#551	C₂²	semidirect
40. C₇×#550	C₂²	semidirect
41. C₇×#550	C₂²	semidirect
42. C₇×#550	C₂²	semidirect
43. C₇×#550	C₂²	semidirect
44. C₇×#550	C₂²	semidirect
45. C₇×D₄×Q₈	C₂²	semidirect
46. C₇×#548	C₂²	semidirect
47. C₇×#548	C₂²	semidirect
48. C₇×#548	C₂²	semidirect
49. C₇×#547	C₂²	semidirect
50. C₇×#547	C₂²	semidirect
51. C₇×#547	C₂²	semidirect
52. C₇×#547	C₂²	semidirect
53. C₇×#546	C₂²	semidirect
54. C₇×#546	C₂²	semidirect
55. C₇×#546	C₂²	semidirect
56. C₇×#546	C₂²	semidirect
57. C₇×#546	C₂²	semidirect
58. C₇×#546	C₂²	semidirect
59. C₇×#546	C₂²	semidirect
61. C₇×D₄²	C₂²	semidirect
62. C₇×#542	C₂²	semidirect
63. C₇×#542	C₂²	semidirect
64. C₇×#542	C₂²	semidirect
65. C₇×#541	C₂²	semidirect
66. C₇×#540	C₂²	semidirect
67. C₇×#540	C₂²	semidirect
68. C₇×#540	C₂²	semidirect
69. C₇×#540	C₂²	semidirect
70. C₇×#539	C₂²	semidirect
71. C₇×#538	C₂²	semidirect
72. C₇×#538	C₂²	semidirect
73. C₇×#537	C₂²	semidirect
75. C₇×#536	C₂²	semidirect
76. C₇×#536	C₂²	semidirect
77. C₇×#536	C₂²	semidirect
79. C₇×#535	C₂²	semidirect
80. C₇×#535	C₂²	semidirect
81. C₇×#535	C₂²	semidirect
82. C₇×#535	C₂²	semidirect
83. C₇×#535	C₂²	semidirect
84. C₇×#534	C₂²	semidirect
85. C₇×#533	C₂²	semidirect
86. C₇×#533	C₂²	semidirect
87. C₇×#533	C₂²	semidirect
88. C₇×#533	C₂²	semidirect
89. C₇×#533	C₂²	semidirect
92. C₇×#532	C₂²	semidirect
93. C₇×#532	C₂²	semidirect
94. C₇×#532	C₂²	semidirect
95. C₇×#532	C₂²	semidirect
96. C₇×#532	C₂²	semidirect
97. C₇×#532	C₂²	semidirect
98. C₇×#532	C₂²	semidirect
99. C₇×#532	C₂²	semidirect
100. C₇×#532	C₂²	semidirect
101. C₇×#532	C₂²	semidirect
102. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
103. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
105. C₂×C₇×#127	C₂²	semidirect
106. C₇×#529	C₂²	semidirect
107. C₇×#529	C₂²	semidirect
108. C₇×#529	C₂²	semidirect
109. C₇×#529	C₂²	semidirect
110. C₇×#529	C₂²	semidirect
111. C₇×#529	C₂²	semidirect
112. C₇×#529	C₂²	semidirect
113. C₇×#529	C₂²	semidirect
114. C₂×C₇×#124	C₂²	semidirect
115. C₂×C₇×#124	C₂²	semidirect
117. C₇×#525	C₂²	semidirect
118. C₇×#525	C₂²	semidirect
119. C₇×#525	C₂²	semidirect
120. C₇×#525	C₂²	semidirect
121. C₇×#525	C₂²	semidirect
122. C₂×C₇×#123	C₂²	semidirect
123. C₂×C₇×#121	C₂²	semidirect
124. C₇×#520	C₂²	semidirect
125. C₇×#519	C₂²	semidirect
126. C₇×#518	C₂²	semidirect
127. C₇×#518	C₂²	semidirect
129. C₄×C₇×#41	C₂²	semidirect
130. C₄×C₇×#41	C₂²	semidirect
131. C₄×C₇×#41	C₂²	semidirect
132. C₄×C₇×#41	C₂²	semidirect
133. C₂×C₄×C₇×D₄	C₂²	semidirect
134. C₂²×C₄²×C₇	C₂²	semidirect
135. #62836	C₇	direct (N × H)
345. #3562	C₂×C₇	semidirect
346. #3554	C₂×C₇	semidirect
347. #3546	C₂×C₇	semidirect
348. #3542	C₂×C₇	semidirect
349. #3517	C₂×C₇	semidirect
350. #3514	C₂×C₇	semidirect
351. #3513	C₂×C₇	semidirect
352. #3511	C₂×C₇	semidirect
353. #3510	C₂×C₇	semidirect
354. #3509	C₂×C₇	semidirect
355. #3508	C₂×C₇	semidirect
356. #3508	C₂×C₇	semidirect
357. #3500	C₂×C₇	semidirect
358. #3499	C₂×C₇	semidirect
359. #3498	C₂×C₇	semidirect
360. #3487	C₂×C₇	semidirect
361. #3485	C₂×C₇	semidirect
362. #3444	C₂×C₇	semidirect
363. #3444	C₂×C₇	semidirect
364. C₂×#532	C₂×C₇	semidirect
505. C₂×2₋¹⁺⁴	C₂²×C₇	semidirect
507. C₂²×#41	C₂²×C₇	semidirect
508. #562	C₂²×C₇	semidirect
509. #560	C₂²×C₇	semidirect
510. #559	C₂²×C₇	semidirect
511. #559	C₂²×C₇	semidirect
512. #559	C₂²×C₇	semidirect
513. #557	C₂²×C₇	semidirect
514. #556	C₂²×C₇	semidirect
515. #556	C₂²×C₇	semidirect
516. #555	C₂²×C₇	semidirect
517. #554	C₂²×C₇	semidirect
518. #553	C₂²×C₇	semidirect
519. #553	C₂²×C₇	semidirect
520. #553	C₂²×C₇	semidirect
521. #552	C₂²×C₇	semidirect
522. #551	C₂²×C₇	semidirect
523. #551	C₂²×C₇	semidirect
524. #550	C₂²×C₇	semidirect
525. #550	C₂²×C₇	semidirect
526. #550	C₂²×C₇	semidirect
527. #550	C₂²×C₇	semidirect
528. #550	C₂²×C₇	semidirect
529. D₄×Q₈	C₂²×C₇	semidirect
530. #548	C₂²×C₇	semidirect
531. #548	C₂²×C₇	semidirect
532. #548	C₂²×C₇	semidirect
533. #547	C₂²×C₇	semidirect
534. #547	C₂²×C₇	semidirect
535. #547	C₂²×C₇	semidirect
536. #547	C₂²×C₇	semidirect
537. #546	C₂²×C₇	semidirect
538. #546	C₂²×C₇	semidirect
539. #546	C₂²×C₇	semidirect
540. #546	C₂²×C₇	semidirect
541. #546	C₂²×C₇	semidirect
542. #546	C₂²×C₇	semidirect
543. #546	C₂²×C₇	semidirect
545. D₄²	C₂²×C₇	semidirect
546. #542	C₂²×C₇	semidirect
547. #542	C₂²×C₇	semidirect
548. #542	C₂²×C₇	semidirect
549. #541	C₂²×C₇	semidirect
550. #540	C₂²×C₇	semidirect
551. #540	C₂²×C₇	semidirect
552. #540	C₂²×C₇	semidirect
553. #540	C₂²×C₇	semidirect
554. #539	C₂²×C₇	semidirect
555. #538	C₂²×C₇	semidirect
556. #538	C₂²×C₇	semidirect
557. #537	C₂²×C₇	semidirect
559. #536	C₂²×C₇	semidirect
560. #536	C₂²×C₇	semidirect
561. #536	C₂²×C₇	semidirect
563. #535	C₂²×C₇	semidirect
564. #535	C₂²×C₇	semidirect
565. #535	C₂²×C₇	semidirect
566. #535	C₂²×C₇	semidirect
567. #535	C₂²×C₇	semidirect
568. #534	C₂²×C₇	semidirect
569. #533	C₂²×C₇	semidirect
570. #533	C₂²×C₇	semidirect
571. #533	C₂²×C₇	semidirect
572. #533	C₂²×C₇	semidirect
573. #533	C₂²×C₇	semidirect
576. #532	C₂²×C₇	semidirect
577. #532	C₂²×C₇	semidirect
578. #532	C₂²×C₇	semidirect
579. #532	C₂²×C₇	semidirect
580. #532	C₂²×C₇	semidirect
581. #532	C₂²×C₇	semidirect
582. #532	C₂²×C₇	semidirect
583. #532	C₂²×C₇	semidirect
584. #532	C₂²×C₇	semidirect
585. #532	C₂²×C₇	semidirect
586. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
587. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
589. C₂×#127	C₂²×C₇	semidirect
590. #529	C₂²×C₇	semidirect
591. #529	C₂²×C₇	semidirect
592. #529	C₂²×C₇	semidirect
593. #529	C₂²×C₇	semidirect
594. #529	C₂²×C₇	semidirect
595. #529	C₂²×C₇	semidirect
596. #529	C₂²×C₇	semidirect
597. #529	C₂²×C₇	semidirect
598. C₂×#124	C₂²×C₇	semidirect
599. C₂×#124	C₂²×C₇	semidirect
601. #525	C₂²×C₇	semidirect
602. #525	C₂²×C₇	semidirect
603. #525	C₂²×C₇	semidirect
604. #525	C₂²×C₇	semidirect
605. #525	C₂²×C₇	semidirect
606. C₂×#123	C₂²×C₇	semidirect
607. C₂×#121	C₂²×C₇	semidirect
608. #520	C₂²×C₇	semidirect
609. #519	C₂²×C₇	semidirect
610. #518	C₂²×C₇	semidirect
611. #518	C₂²×C₇	semidirect
613. C₄×#41	C₂²×C₇	semidirect
614. C₄×#41	C₂²×C₇	semidirect
615. C₄×#41	C₂²×C₇	semidirect
616. C₄×#41	C₂²×C₇	semidirect
617. C₂×C₄×D₄	C₂²×C₇	semidirect
618. C₂²×C₄²	C₂²×C₇	semidirect
1161. C₇	#62836	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#3562	2
C₇×#3554	2
C₇×#3546	2
C₇×#3542	2
C₇×#3517	2
C₇×#3514	2
C₇×#3513	2
C₇×#3511	2
C₇×#3510	2
C₇×#3509	2
C₇×#3508	2
C₇×#3500	2
C₇×#3499	2
C₇×#3498	2
C₇×#3487	2
C₇×#3485	2
C₇×#3444	2
C₂×C₇×#532	2
#62836	7

Subgroups — C7×#62836 #13240052

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62836 #13240052