Subgroups — C₇×#62835 #13240051

Order 1792.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3561	C₂	1	4	yes	maximal, complemented
2	C₇×#3559	C₂	1	4	yes	maximal, complemented
3	C₇×#3554	C₂	1	4	yes	maximal, complemented
4	C₇×#3550	C₂	1	2	yes	maximal, complemented
5	C₇×#3548	C₂	1	2	yes	maximal, complemented
6	C₇×#3547	C₂	1	4	yes	maximal, complemented
7	C₇×#3536	C₂	1	4	yes	maximal, complemented
8	C₇×#3522	C₂	1	4	yes	maximal, complemented
9	C₇×#3520	C₂	1	4	yes	maximal, complemented
10	C₇×#3511	C₂	1	2	yes	maximal, complemented
11	C₇×#3511	C₂	1	4	yes	maximal, complemented
12	C₇×#3508	C₂	1	2	yes	maximal, complemented
13	C₇×#3507	C₂	1	2	yes	maximal, complemented
14	C₇×#3506	C₂	1	2	yes	maximal, complemented
15	C₇×#3503	C₂	1	2	yes	maximal, complemented
16	C₇×#3501	C₂	1	2	yes	maximal, complemented
17	C₇×#3499	C₂	1	2	yes	maximal, complemented
18	C₇×#3497	C₂	1	2	yes	maximal, complemented
19	C₇×#3494	C₂	1	4	yes	maximal, complemented
20	C₇×#3489	C₂	1	4	yes	maximal, complemented
21	C₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₇×#533	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#532	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×2₋¹⁺⁴	C₂²	1	4	yes	complemented
25	C₂²×C₇×#41	C₂²	1	2	yes	—
26	C₇×#563	C₂²	1	8	yes	complemented
27	C₇×#562	C₂²	1	8	yes	complemented
28	C₇×#562	C₂²	1	16	yes	complemented
29	C₇×#559	C₂²	1	8	yes	complemented
30	C₇×#559	C₂²	1	4	yes	complemented
31	C₇×#559	C₂²	1	4	yes	complemented
32	C₇×Q₈²	C₂²	1	4	yes	complemented
33	C₇×#557	C₂²	1	4	yes	complemented
34	C₇×#556	C₂²	1	8	yes	complemented
35	C₇×#556	C₂²	1	4	yes	complemented
36	C₇×#556	C₂²	1	4	yes	complemented
37	C₇×#555	C₂²	1	8	yes	complemented
38	C₇×#555	C₂²	1	4	yes	complemented
39	C₇×#554	C₂²	1	8	yes	—
40	C₇×#554	C₂²	1	4	yes	complemented
41	C₇×#554	C₂²	1	4	yes	complemented
42	C₇×#554	C₂²	1	8	yes	complemented
43	C₇×#554	C₂²	1	8	yes	complemented
44	C₇×#554	C₂²	1	4	yes	complemented
45	C₇×#553	C₂²	1	8	yes	complemented
46	C₇×#553	C₂²	1	8	yes	complemented
47	C₇×#553	C₂²	1	8	yes	complemented
48	C₇×#552	C₂²	1	8	yes	complemented
49	C₇×#551	C₂²	1	16	yes	—
50	C₇×#550	C₂²	1	4	yes	complemented
51	C₇×#550	C₂²	1	4	yes	complemented
52	C₇×#550	C₂²	1	4	yes	complemented
53	C₇×D₄×Q₈	C₂²	1	8	yes	—
54	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
55	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
56	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
57	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
58	C₇×#548	C₂²	1	8	yes	complemented
59	C₇×#548	C₂²	1	8	yes	complemented
60	C₇×#548	C₂²	1	8	yes	complemented
61	C₇×#548	C₂²	1	8	yes	complemented
62	C₇×#547	C₂²	1	8	yes	complemented
63	C₇×#547	C₂²	1	16	yes	complemented
64	C₇×#547	C₂²	1	8	yes	complemented
65	C₇×#547	C₂²	1	4	yes	complemented
66	C₇×#547	C₂²	1	4	yes	complemented
67	C₇×#547	C₂²	1	8	yes	complemented
68	C₇×#547	C₂²	1	4	yes	complemented
69	C₇×#546	C₂²	1	8	yes	—
70	C₇×#546	C₂²	1	16	yes	—
71	C₇×#546	C₂²	1	8	yes	—
72	C₇×#544	C₂²	1	4	yes	—
73	C₇×#544	C₂²	1	8	yes	complemented
74	C₇×#543	C₂²	1	8	yes	—
75	C₇×#542	C₂²	1	8	yes	complemented
76	C₇×#542	C₂²	1	16	yes	complemented
77	C₇×#542	C₂²	1	8	yes	complemented
78	C₇×#542	C₂²	1	8	yes	complemented
79	C₇×#542	C₂²	1	8	yes	complemented
80	C₇×#540	C₂²	1	8	yes	complemented
81	C₇×#540	C₂²	1	8	yes	complemented
82	C₇×#539	C₂²	1	8	yes	complemented
83	C₇×#539	C₂²	1	16	yes	complemented
84	C₇×#538	C₂²	1	8	yes	—
85	C₇×#537	C₂²	1	4	yes	complemented
86	C₇×#537	C₂²	1	8	yes	complemented
87	C₇×#537	C₂²	1	8	yes	complemented
88	C₇×#537	C₂²	1	8	yes	complemented
89	C₇×#536	C₂²	1	8	yes	complemented
90	C₇×#536	C₂²	1	4	yes	complemented
91	C₇×#536	C₂²	1	8	yes	complemented
92	C₇×#535	C₂²	1	4	yes	—
93	C₇×#533	C₂²	1	2	yes	—
94	C₇×#533	C₂²	1	2	yes	—
95	C₇×#533	C₂²	1	2	yes	—
96	C₇×#533	C₂²	1	2	yes	—
97	C₇×#533	C₂²	1	1	yes	characteristic
98	C₇×#533	C₂²	1	2	yes	complemented
99	C₇×#533	C₂²	1	2	yes	complemented
100	C₇×#533	C₂²	1	2	yes	complemented
101	C₇×#533	C₂²	1	2	yes	complemented
102	C₇×#533	C₂²	1	1	yes	characteristic, complemented
103	C₇×#533	C₂²	1	1	yes	characteristic, complemented
104	C₇×#533	C₂²	1	4	yes	complemented
105	C₇×#532	C₂²	1	2	yes	—
106	C₇×#532	C₂²	1	2	yes	—
107	C₇×#532	C₂²	1	2	yes	—
108	C₇×#532	C₂²	1	2	yes	—
109	C₇×#532	C₂²	1	2	yes	—
110	C₇×#532	C₂²	1	2	yes	—
111	C₇×#532	C₂²	1	2	yes	—
112	C₇×#532	C₂²	1	2	yes	—
113	C₇×#532	C₂²	1	1	yes	characteristic
114	C₇×#532	C₂²	1	1	yes	characteristic, complemented
115	C₇×#532	C₂²	1	1	yes	characteristic, complemented
116	C₇×#532	C₂²	1	8	yes	complemented
117	C₇×#532	C₂²	1	4	yes	complemented
118	C₇×#532	C₂²	1	4	yes	complemented
119	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
120	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₇×C₄⋊Q₈	C₂²	1	4	yes	complemented
123	C₂×C₇×#127	C₂²	1	1	yes	characteristic
124	C₇×#529	C₂²	1	2	yes	—
125	C₇×#529	C₂²	1	2	yes	—
126	C₇×#529	C₂²	1	2	yes	complemented
127	C₇×#529	C₂²	1	2	yes	complemented
128	C₇×#529	C₂²	1	2	yes	complemented
129	C₇×#529	C₂²	1	2	yes	complemented
130	C₇×#529	C₂²	1	8	yes	complemented
131	C₂×C₇×#125	C₂²	1	2	yes	complemented
132	C₂×C₇×#124	C₂²	1	2	yes	—
133	C₇×#525	C₂²	1	2	yes	—
134	C₇×#525	C₂²	1	2	yes	—
135	C₇×#525	C₂²	1	2	yes	—
136	C₇×#525	C₂²	1	8	yes	—
137	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
138	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	—
139	C₂×C₇×C₂²⋊Q₈	C₂²	1	8	yes	—
140	C₂×C₇×#121	C₂²	1	2	yes	—
141	C₂×C₇×#121	C₂²	1	2	yes	—
142	C₇×#520	C₂²	1	4	yes	—
143	C₇×#520	C₂²	1	4	yes	complemented
144	C₇×#520	C₂²	1	8	yes	complemented
145	C₇×#518	C₂²	1	4	yes	—
146	C₄×C₇×#41	C₂²	1	2	yes	—
147	C₄×C₇×#41	C₂²	1	2	yes	complemented
148	C₄×C₇×#41	C₂²	1	2	yes	complemented
149	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
150	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
151	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
152	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
153	C₂×C₇×#117	C₂²	1	2	yes	—
154	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic
155	#62835	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
156	C₇×2₋¹⁺⁴	—	4	16	no	—
157	C₂×C₇×#41	—	4	8	no	—
158	C₂×C₇×#41	C₂³	1	4	yes	—
159	C₂×C₇×#41	C₂³	1	2	yes	—
160	C₂×C₇×#41	C₂³	1	2	yes	—
161	C₂×C₇×#41	C₂³	1	4	yes	—
162	C₂×C₇×#41	C₂³	1	4	yes	—
163	C₂×C₇×#41	C₂³	1	4	yes	—
164	C₂×C₇×#41	C₂³	1	8	yes	—
165	C₂×C₇×#41	C₂³	1	8	yes	—
166	C₂×C₇×#41	C₂³	1	16	yes	—
167	C₂×C₇×#41	C₂³	1	2	yes	—
168	C₂×C₇×#41	C₂³	1	8	yes	—
169	C₂²×C₇×Q₈	C₂³	1	2	yes	—
170	C₂²×C₇×Q₈	C₂³	1	2	yes	—
171	C₂²×C₇×Q₈	C₂³	1	8	yes	—
172	C₂²×C₇×Q₈	C₂³	1	8	yes	—
173	C₂²×C₇×Q₈	C₂³	1	2	yes	—
174	C₂²×C₇×D₄	C₂³	1	2	yes	—
175	C₂²×C₇×D₄	C₂³	1	4	yes	—
176	C₂²×C₇×D₄	C₂³	1	2	yes	—
177	C₂²×C₇×D₄	C₂³	1	2	yes	—
178	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
179	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
180	C₂³×C₄×C₇	C₂³	1	4	yes	—
181	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
182	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
183	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
184	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
185	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
186	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
187	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
188	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
189	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
190	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
191	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
192	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
193	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
194	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
195	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
196	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
197	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
198	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
199	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
200	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
201	C₇×C₄⋊Q₈	C₂³	1	16	yes	—
202	C₇×#127	C₂³	1	2	yes	—
203	C₇×#127	C₂³	1	2	yes	—
204	C₇×#127	C₂³	1	2	yes	—
205	C₇×#127	C₂³	1	2	yes	—
206	C₇×#127	C₂³	1	1	yes	characteristic
207	C₇×#127	C₂³	1	8	yes	—
208	C₇×#126	C₂³	1	4	yes	—
209	C₇×#126	C₂³	1	4	yes	—
210	C₇×#126	C₂³	1	16	yes	—
211	C₇×#126	C₂³	1	16	yes	—
212	C₇×#126	C₂³	1	16	yes	—
213	C₇×#125	C₂³	1	4	yes	—
214	C₇×#125	C₂³	1	4	yes	—
215	C₇×#125	C₂³	1	4	yes	—
216	C₇×#125	C₂³	1	4	yes	—
217	C₇×#125	C₂³	1	2	yes	—
218	C₇×#125	C₂³	1	2	yes	—
219	C₇×#125	C₂³	1	2	yes	—
220	C₇×#125	C₂³	1	8	yes	—
221	C₇×#125	C₂³	1	8	yes	—
222	C₇×#125	C₂³	1	16	yes	—
223	C₇×#124	C₂³	1	4	yes	—
224	C₇×#124	C₂³	1	4	yes	—
225	C₇×#124	C₂³	1	4	yes	—
226	C₇×#124	C₂³	1	4	yes	—
227	C₇×#124	C₂³	1	2	yes	—
228	C₇×#124	C₂³	1	2	yes	—
229	C₇×#124	C₂³	1	2	yes	—
230	C₇×#124	C₂³	1	8	yes	—
231	C₇×#124	C₂³	1	8	yes	—
232	C₇×#124	C₂³	1	8	yes	—
233	C₇×#124	C₂³	1	16	yes	—
234	C₇×#124	C₂³	1	16	yes	—
235	C₇×#124	C₂³	1	16	yes	—
236	C₇×#123	C₂³	1	4	yes	—
237	C₇×#123	C₂³	1	4	yes	—
238	C₇×#123	C₂³	1	4	yes	—
239	C₇×#123	C₂³	1	16	yes	—
240	C₇×#123	C₂³	1	16	yes	—
241	C₇×#123	C₂³	1	16	yes	—
242	C₇×#123	C₂³	1	16	yes	—
243	C₇×#123	C₂³	1	16	yes	—
244	C₇×#123	C₂³	1	16	yes	—
245	C₇×#123	C₂³	1	16	yes	—
246	C₇×#123	C₂³	1	16	yes	—
247	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
248	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
249	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
250	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
251	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
252	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
253	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
254	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
256	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
257	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
258	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
259	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
260	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
261	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
262	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
263	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
264	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
266	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
267	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
268	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
269	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
270	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
271	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
272	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
273	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
274	C₇×C₂²⋊Q₈	C₂³	1	16	yes	—
275	C₇×#121	C₂³	1	4	yes	—
276	C₇×#121	C₂³	1	4	yes	—
277	C₇×#121	C₂³	1	4	yes	—
278	C₇×#121	C₂³	1	4	yes	—
279	C₇×#121	C₂³	1	4	yes	—
280	C₇×#121	C₂³	1	4	yes	—
281	C₇×#121	C₂³	1	4	yes	—
282	C₇×#121	C₂³	1	4	yes	—
283	C₇×#121	C₂³	1	2	yes	—
284	C₇×#121	C₂³	1	2	yes	—
285	C₇×#121	C₂³	1	2	yes	—
286	C₇×#121	C₂³	1	2	yes	—
287	C₇×#121	C₂³	1	2	yes	—
288	C₇×#121	C₂³	1	2	yes	—
289	C₇×#121	C₂³	1	8	yes	—
290	C₇×#121	C₂³	1	8	yes	—
291	C₇×#121	C₂³	1	8	yes	—
292	C₇×#121	C₂³	1	16	yes	—
293	C₇×#121	C₂³	1	8	yes	—
294	C₇×#121	C₂³	1	8	yes	—
295	C₇×#121	C₂³	1	16	yes	—
296	C₇×#121	C₂³	1	16	yes	—
297	C₇×#121	C₂³	1	16	yes	—
298	C₇×#121	C₂³	1	16	yes	—
299	C₇×#121	C₂³	1	16	yes	—
300	C₇×#120	C₂³	1	4	yes	—
301	C₇×#120	C₂³	1	16	yes	—
302	C₄×C₇×Q₈	C₂³	1	4	yes	—
303	C₄×C₇×Q₈	C₂³	1	4	yes	—
304	C₄×C₇×Q₈	C₂³	1	4	yes	—
305	C₄×C₇×Q₈	C₂³	1	4	yes	—
306	C₄×C₇×Q₈	C₂³	1	4	yes	—
307	C₄×C₇×Q₈	C₂³	1	4	yes	—
308	C₄×C₇×Q₈	C₂³	1	4	yes	—
309	C₄×C₇×Q₈	C₂³	1	4	yes	—
310	C₄×C₇×Q₈	C₂³	1	2	yes	—
311	C₄×C₇×Q₈	C₂³	1	2	yes	—
312	C₄×C₇×Q₈	C₂³	1	2	yes	—
313	C₄×C₇×Q₈	C₂³	1	2	yes	—
314	C₄×C₇×Q₈	C₂³	1	2	yes	—
315	C₄×C₇×Q₈	C₂³	1	2	yes	—
316	C₄×C₇×Q₈	C₂³	1	8	yes	—
317	C₄×C₇×Q₈	C₂³	1	8	yes	—
318	C₄×C₇×Q₈	C₂³	1	8	yes	—
319	C₄×C₇×D₄	C₂³	1	4	yes	—
320	C₄×C₇×D₄	C₂³	1	4	yes	—
321	C₄×C₇×D₄	C₂³	1	4	yes	—
322	C₄×C₇×D₄	C₂³	1	4	yes	—
323	C₄×C₇×D₄	C₂³	1	4	yes	—
324	C₄×C₇×D₄	C₂³	1	4	yes	—
325	C₄×C₇×D₄	C₂³	1	4	yes	—
326	C₄×C₇×D₄	C₂³	1	4	yes	—
327	C₄×C₇×D₄	C₂³	1	4	yes	—
328	C₄×C₇×D₄	C₂³	1	4	yes	—
329	C₄×C₇×D₄	C₂³	1	2	yes	—
330	C₄×C₇×D₄	C₂³	1	2	yes	—
331	C₄×C₇×D₄	C₂³	1	4	yes	—
332	C₄×C₇×D₄	C₂³	1	4	yes	—
333	C₄×C₇×D₄	C₂³	1	4	yes	—
334	C₄×C₇×D₄	C₂³	1	4	yes	—
335	C₄×C₇×D₄	C₂³	1	2	yes	—
336	C₄×C₇×D₄	C₂³	1	2	yes	—
337	C₄×C₇×D₄	C₂³	1	2	yes	—
338	C₄×C₇×D₄	C₂³	1	2	yes	—
339	C₄×C₇×D₄	C₂³	1	8	yes	—
340	C₄×C₇×D₄	C₂³	1	8	yes	—
341	C₄×C₇×D₄	C₂³	1	8	yes	—
342	C₄×C₇×D₄	C₂³	1	8	yes	—
343	C₄×C₇×D₄	C₂³	1	16	yes	—
344	C₄×C₇×D₄	C₂³	1	8	yes	—
345	C₄×C₇×D₄	C₂³	1	16	yes	—
346	C₄×C₇×D₄	C₂³	1	16	yes	—
347	C₄×C₇×D₄	C₂³	1	8	yes	—
348	C₄×C₇×D₄	C₂³	1	8	yes	—
349	C₄×C₇×D₄	C₂³	1	16	yes	—
350	C₇×#117	C₂³	1	4	yes	—
351	C₇×#117	C₂³	1	4	yes	—
352	C₇×#117	C₂³	1	4	yes	—
353	C₇×#117	C₂³	1	4	yes	—
354	C₇×#117	C₂³	1	2	yes	—
355	C₇×#117	C₂³	1	4	yes	—
356	C₇×#117	C₂³	1	2	yes	—
357	C₇×#117	C₂³	1	4	yes	—
358	C₇×#117	C₂³	1	2	yes	—
359	C₇×#117	C₂³	1	4	yes	—
360	C₇×#117	C₂³	1	8	yes	—
361	C₇×#117	C₂³	1	8	yes	—
362	C₇×#117	C₂³	1	16	yes	—
363	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
364	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
365	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
366	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
367	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
368	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
369	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
370	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
371	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
372	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
373	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	—
374	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
375	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
376	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
377	C₂×C₇×C₂²⋊C₄	C₂³	1	4	yes	—
378	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
379	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
380	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
381	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
382	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
383	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
384	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
385	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
386	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
387	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
388	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
389	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
390	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
391	C₂×C₄²×C₇	C₂³	1	4	yes	—
392	C₂×C₄²×C₇	C₂³	1	4	yes	—
393	#3561	C₂×C₇	1	4	yes	complemented
394	#3559	C₂×C₇	1	4	yes	complemented
395	#3554	C₂×C₇	1	4	yes	complemented
396	#3550	C₂×C₇	1	2	yes	complemented
397	#3548	C₂×C₇	1	2	yes	complemented
398	#3547	C₂×C₇	1	4	yes	complemented
399	#3536	C₂×C₇	1	4	yes	complemented
400	#3522	C₂×C₇	1	4	yes	complemented
401	#3520	C₂×C₇	1	4	yes	complemented
402	#3511	C₂×C₇	1	2	yes	complemented
403	#3511	C₂×C₇	1	4	yes	complemented
404	#3508	C₂×C₇	1	2	yes	complemented
405	#3507	C₂×C₇	1	2	yes	complemented
406	#3506	C₂×C₇	1	2	yes	complemented
407	#3503	C₂×C₇	1	2	yes	complemented
408	#3501	C₂×C₇	1	2	yes	complemented
409	#3499	C₂×C₇	1	2	yes	complemented
410	#3497	C₂×C₇	1	2	yes	complemented
411	#3494	C₂×C₇	1	4	yes	complemented
412	#3489	C₂×C₇	1	4	yes	complemented
413	#3444	C₂×C₇	1	1	yes	characteristic, complemented
414	C₂×#533	C₂×C₇	1	1	yes	characteristic, complemented
415	C₂×#532	C₂×C₇	1	1	yes	characteristic, complemented
416	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
417	C₂⁴×C₇	C₂⁴	1	4	yes	—
418	C₇×#41	—	2	16	no	—
419	C₇×#41	—	2	8	no	—
420	C₇×#41	—	2	8	no	—
421	C₇×#41	—	4	8	no	—
422	C₇×#41	—	4	4	no	—
423	C₇×#41	—	4	8	no	—
424	C₇×#41	—	4	32	no	—
425	C₇×#41	—	4	8	no	—
426	C₇×#41	—	4	16	no	—
427	C₇×#41	—	4	16	no	—
428	C₇×#41	—	4	16	no	—
429	C₂×C₇×Q₈	—	2	8	no	—
430	C₂×C₇×Q₈	—	4	4	no	—
431	C₂×C₇×Q₈	—	4	4	no	—
432	C₂×C₇×Q₈	—	4	16	no	—
433	C₂×C₇×Q₈	—	4	16	no	—
434	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
435	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
436	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
437	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
438	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
439	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
440	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
441	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
442	C₂×C₇×Q₈	C₂⁴	1	16	yes	—
443	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
444	C₂×C₇×D₄	—	2	8	no	—
445	C₂×C₇×D₄	—	4	4	no	—
446	C₂×C₇×D₄	—	4	4	no	—
447	C₂×C₇×D₄	—	4	8	no	—
448	C₂×C₇×D₄	C₂⁴	1	4	yes	—
449	C₂×C₇×D₄	C₂⁴	1	4	yes	—
450	C₂×C₇×D₄	C₂⁴	1	4	yes	—
451	C₂×C₇×D₄	C₂⁴	1	2	yes	—
452	C₂×C₇×D₄	C₂⁴	1	4	yes	—
453	C₂×C₇×D₄	C₂⁴	1	4	yes	—
454	C₂×C₇×D₄	C₂⁴	1	8	yes	—
455	C₂×C₇×D₄	C₂⁴	1	2	yes	—
456	C₂×C₇×D₄	C₂⁴	1	4	yes	—
457	C₂×C₇×D₄	C₂⁴	1	4	yes	—
458	C₂×C₇×D₄	C₂⁴	1	16	yes	—
459	C₂×C₇×D₄	C₂⁴	1	2	yes	—
460	C₂×C₇×D₄	C₂⁴	1	4	yes	—
461	C₂×C₇×D₄	C₂⁴	1	16	yes	—
462	C₂×C₇×D₄	C₂⁴	1	8	yes	—
463	C₂×C₇×D₄	C₂⁴	1	4	yes	—
464	C₂²×C₄×C₇	—	2	4	no	—
465	C₂²×C₄×C₇	—	2	4	no	—
466	C₂²×C₄×C₇	—	4	2	no	—
467	C₂²×C₄×C₇	—	4	8	no	—
468	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
482	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
484	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
485	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
486	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
490	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
492	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
493	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
494	C₂²×C₄×C₇	C₂⁴	1	16	yes	—
495	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
497	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
498	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
499	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
500	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
501	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
502	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
503	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
504	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
505	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
506	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
507	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
508	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
509	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
510	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
511	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
512	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
513	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
514	C₇×C₄⋊C₄	C₂⁴	1	16	yes	—
515	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
516	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
517	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
518	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
519	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
520	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
521	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
522	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
523	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
524	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
525	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
526	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
527	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
528	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
529	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
530	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
531	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
532	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
533	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
534	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
535	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
536	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
537	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
538	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
539	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
540	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
542	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
543	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
544	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
545	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
546	C₇×C₂²⋊C₄	C₂⁴	1	16	yes	—
547	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
548	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
549	C₄²×C₇	C₂⁴	1	1	yes	characteristic
550	C₄²×C₇	C₂⁴	1	1	yes	characteristic
551	C₄²×C₇	C₂⁴	1	1	yes	characteristic
552	C₄²×C₇	C₂⁴	1	1	yes	characteristic
553	C₄²×C₇	C₂⁴	1	1	yes	characteristic
554	C₄²×C₇	C₂⁴	1	1	yes	characteristic
555	C₄²×C₇	C₂⁴	1	1	yes	characteristic
556	C₄²×C₇	C₂⁴	1	1	yes	characteristic
557	C₄²×C₇	C₂⁴	1	1	yes	characteristic
558	C₄²×C₇	C₂⁴	1	1	yes	characteristic
559	C₄²×C₇	C₂⁴	1	1	yes	characteristic
560	C₄²×C₇	C₂⁴	1	1	yes	characteristic
561	C₄²×C₇	C₂⁴	1	1	yes	characteristic
562	C₄²×C₇	C₂⁴	1	1	yes	characteristic
563	C₄²×C₇	C₂⁴	1	1	yes	characteristic
564	C₄²×C₇	C₂⁴	1	1	yes	characteristic
565	C₄²×C₇	C₂⁴	1	8	yes	—
566	C₄²×C₇	C₂⁴	1	4	yes	—
567	C₄²×C₇	C₂⁴	1	4	yes	—
568	C₄²×C₇	C₂⁴	1	4	yes	—
569	C₄²×C₇	C₂⁴	1	8	yes	—
570	C₄²×C₇	C₂⁴	1	16	yes	—
571	C₂×2₋¹⁺⁴	C₂²×C₇	1	4	yes	complemented
572	C₂²×#41	C₂²×C₇	1	2	yes	—
573	#563	C₂²×C₇	1	8	yes	complemented
574	#562	C₂²×C₇	1	16	yes	complemented
575	#562	C₂²×C₇	1	8	yes	complemented
576	#559	C₂²×C₇	1	8	yes	complemented
577	#559	C₂²×C₇	1	4	yes	complemented
578	#559	C₂²×C₇	1	4	yes	complemented
579	Q₈²	C₂²×C₇	1	4	yes	complemented
580	#557	C₂²×C₇	1	4	yes	complemented
581	#556	C₂²×C₇	1	4	yes	complemented
582	#556	C₂²×C₇	1	8	yes	complemented
583	#556	C₂²×C₇	1	4	yes	complemented
584	#555	C₂²×C₇	1	8	yes	complemented
585	#555	C₂²×C₇	1	4	yes	complemented
586	#554	C₂²×C₇	1	8	yes	—
587	#554	C₂²×C₇	1	4	yes	complemented
588	#554	C₂²×C₇	1	4	yes	complemented
589	#554	C₂²×C₇	1	8	yes	complemented
590	#554	C₂²×C₇	1	8	yes	complemented
591	#554	C₂²×C₇	1	4	yes	complemented
592	#553	C₂²×C₇	1	8	yes	complemented
593	#553	C₂²×C₇	1	8	yes	complemented
594	#553	C₂²×C₇	1	8	yes	complemented
595	#552	C₂²×C₇	1	8	yes	complemented
596	#551	C₂²×C₇	1	16	yes	—
597	#550	C₂²×C₇	1	4	yes	complemented
598	#550	C₂²×C₇	1	4	yes	complemented
599	#550	C₂²×C₇	1	4	yes	complemented
600	D₄×Q₈	C₂²×C₇	1	8	yes	—
601	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
602	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
603	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
604	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
605	#548	C₂²×C₇	1	8	yes	complemented
606	#548	C₂²×C₇	1	8	yes	complemented
607	#548	C₂²×C₇	1	8	yes	complemented
608	#548	C₂²×C₇	1	8	yes	complemented
609	#547	C₂²×C₇	1	8	yes	complemented
610	#547	C₂²×C₇	1	16	yes	complemented
611	#547	C₂²×C₇	1	8	yes	complemented
612	#547	C₂²×C₇	1	4	yes	complemented
613	#547	C₂²×C₇	1	4	yes	complemented
614	#547	C₂²×C₇	1	8	yes	complemented
615	#547	C₂²×C₇	1	4	yes	complemented
616	#546	C₂²×C₇	1	16	yes	—
617	#546	C₂²×C₇	1	8	yes	—
618	#546	C₂²×C₇	1	8	yes	—
619	#544	C₂²×C₇	1	4	yes	—
620	#544	C₂²×C₇	1	8	yes	complemented
621	#543	C₂²×C₇	1	8	yes	—
622	#542	C₂²×C₇	1	8	yes	complemented
623	#542	C₂²×C₇	1	8	yes	complemented
624	#542	C₂²×C₇	1	8	yes	complemented
625	#542	C₂²×C₇	1	8	yes	complemented
626	#542	C₂²×C₇	1	16	yes	complemented
627	#540	C₂²×C₇	1	8	yes	complemented
628	#540	C₂²×C₇	1	8	yes	complemented
629	#539	C₂²×C₇	1	8	yes	complemented
630	#539	C₂²×C₇	1	16	yes	complemented
631	#538	C₂²×C₇	1	8	yes	—
632	#537	C₂²×C₇	1	4	yes	complemented
633	#537	C₂²×C₇	1	8	yes	complemented
634	#537	C₂²×C₇	1	8	yes	complemented
635	#537	C₂²×C₇	1	8	yes	complemented
636	#536	C₂²×C₇	1	4	yes	complemented
637	#536	C₂²×C₇	1	8	yes	complemented
638	#536	C₂²×C₇	1	8	yes	complemented
639	#535	C₂²×C₇	1	4	yes	—
640	#533	C₂²×C₇	1	2	yes	—
641	#533	C₂²×C₇	1	2	yes	—
642	#533	C₂²×C₇	1	2	yes	—
643	#533	C₂²×C₇	1	2	yes	—
644	#533	C₂²×C₇	1	1	yes	characteristic
645	#533	C₂²×C₇	1	2	yes	complemented
646	#533	C₂²×C₇	1	2	yes	complemented
647	#533	C₂²×C₇	1	2	yes	complemented
648	#533	C₂²×C₇	1	2	yes	complemented
649	#533	C₂²×C₇	1	1	yes	characteristic, complemented
650	#533	C₂²×C₇	1	1	yes	characteristic, complemented
651	#533	C₂²×C₇	1	4	yes	complemented
652	#532	C₂²×C₇	1	2	yes	—
653	#532	C₂²×C₇	1	2	yes	—
654	#532	C₂²×C₇	1	2	yes	—
655	#532	C₂²×C₇	1	2	yes	—
656	#532	C₂²×C₇	1	2	yes	—
657	#532	C₂²×C₇	1	2	yes	—
658	#532	C₂²×C₇	1	2	yes	—
659	#532	C₂²×C₇	1	2	yes	—
660	#532	C₂²×C₇	1	1	yes	characteristic
661	#532	C₂²×C₇	1	1	yes	characteristic, complemented
662	#532	C₂²×C₇	1	1	yes	characteristic, complemented
663	#532	C₂²×C₇	1	8	yes	complemented
664	#532	C₂²×C₇	1	4	yes	complemented
665	#532	C₂²×C₇	1	4	yes	complemented
666	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic
667	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
668	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
669	C₂×C₄⋊Q₈	C₂²×C₇	1	4	yes	complemented
670	C₂×#127	C₂²×C₇	1	1	yes	characteristic
671	#529	C₂²×C₇	1	2	yes	—
672	#529	C₂²×C₇	1	2	yes	—
673	#529	C₂²×C₇	1	2	yes	complemented
674	#529	C₂²×C₇	1	2	yes	complemented
675	#529	C₂²×C₇	1	2	yes	complemented
676	#529	C₂²×C₇	1	2	yes	complemented
677	#529	C₂²×C₇	1	8	yes	complemented
678	C₂×#125	C₂²×C₇	1	2	yes	complemented
679	C₂×#124	C₂²×C₇	1	2	yes	—
680	#525	C₂²×C₇	1	2	yes	—
681	#525	C₂²×C₇	1	2	yes	—
682	#525	C₂²×C₇	1	2	yes	—
683	#525	C₂²×C₇	1	8	yes	—
684	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
685	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	—
686	C₂×C₂²⋊Q₈	C₂²×C₇	1	8	yes	—
687	C₂×#121	C₂²×C₇	1	2	yes	—
688	C₂×#121	C₂²×C₇	1	2	yes	—
689	#520	C₂²×C₇	1	4	yes	—
690	#520	C₂²×C₇	1	4	yes	complemented
691	#520	C₂²×C₇	1	8	yes	complemented
692	#518	C₂²×C₇	1	4	yes	—
693	C₄×#41	C₂²×C₇	1	2	yes	—
694	C₄×#41	C₂²×C₇	1	2	yes	complemented
695	C₄×#41	C₂²×C₇	1	2	yes	complemented
696	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
697	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
698	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
699	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
700	C₂×#117	C₂²×C₇	1	2	yes	—
701	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic
702	C₂³×C₇	—	2	2	no	—
703	C₂³×C₇	—	2	2	no	—
704	C₂³×C₇	—	2	8	no	—
705	C₂³×C₇	—	4	1	no	—
706	C₂³×C₇	—	4	4	no	—
707	C₂³×C₇	—	4	4	no	—
708	C₂³×C₇	C₂⁵	1	1	yes	characteristic
709	C₂³×C₇	C₂⁵	1	8	yes	—
710	C₂³×C₇	C₂⁵	1	4	yes	—
711	C₂³×C₇	C₂⁵	1	1	yes	characteristic
712	C₂³×C₇	C₂⁵	1	1	yes	characteristic
713	C₇×Q₈	—	2	8	no	—
714	C₇×Q₈	—	2	8	no	—
715	C₇×Q₈	—	2	4	no	—
716	C₇×Q₈	—	2	8	no	—
717	C₇×Q₈	—	2	4	no	—
718	C₇×Q₈	—	2	8	no	—
719	C₇×Q₈	—	4	16	no	—
720	C₇×Q₈	—	4	4	no	—
721	C₇×Q₈	—	4	4	no	—
722	C₇×Q₈	—	4	2	no	—
723	C₇×D₄	—	2	16	no	—
724	C₇×D₄	—	2	8	no	—
725	C₇×D₄	—	2	8	no	—
726	C₇×D₄	—	2	8	no	—
727	C₇×D₄	—	2	4	no	—
728	C₇×D₄	—	2	8	no	—
729	C₇×D₄	—	2	8	no	—
730	C₇×D₄	—	2	4	no	—
731	C₇×D₄	—	2	8	no	—
732	C₇×D₄	—	4	4	no	—
733	C₇×D₄	—	4	4	no	—
734	C₇×D₄	—	4	8	no	—
735	C₇×D₄	—	4	4	no	—
736	C₇×D₄	—	4	2	no	—
737	C₇×D₄	—	4	16	no	—
738	C₇×D₄	—	4	16	no	—
739	C₂×C₄×C₇	—	2	2	no	—
740	C₂×C₄×C₇	—	2	8	no	—
741	C₂×C₄×C₇	—	2	2	no	—
742	C₂×C₄×C₇	—	2	2	no	—
743	C₂×C₄×C₇	—	2	2	no	—
744	C₂×C₄×C₇	—	2	2	no	—
745	C₂×C₄×C₇	—	2	2	no	—
746	C₂×C₄×C₇	—	2	16	no	—
747	C₂×C₄×C₇	—	2	8	no	—
748	C₂×C₄×C₇	—	2	2	no	—
749	C₂×C₄×C₇	—	2	2	no	—
750	C₂×C₄×C₇	—	2	2	no	—
751	C₂×C₄×C₇	—	2	2	no	—
752	C₂×C₄×C₇	—	2	8	no	—
753	C₂×C₄×C₇	—	2	2	no	—
754	C₂×C₄×C₇	—	2	2	no	—
755	C₂×C₄×C₇	—	2	2	no	—
756	C₂×C₄×C₇	—	2	8	no	—
757	C₂×C₄×C₇	—	4	1	no	—
758	C₂×C₄×C₇	—	4	1	no	—
759	C₂×C₄×C₇	—	4	1	no	—
760	C₂×C₄×C₇	—	4	4	no	—
761	C₂×C₄×C₇	—	4	8	no	—
762	C₂×C₄×C₇	—	4	4	no	—
763	C₂×C₄×C₇	—	4	16	no	—
764	C₂×C₄×C₇	—	4	16	no	—
765	C₂×C₄×C₇	—	4	16	no	—
766	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
767	C₂×C₄×C₇	2₋¹⁺⁴	1	4	yes	complemented
768	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
769	C₂×C₄×C₇	C₂⁵	1	4	yes	—
770	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
771	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
772	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
773	C₂×C₄×C₇	C₂⁵	1	8	yes	—
774	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
775	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
776	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
777	C₂×C₄×C₇	C₂⁵	1	4	yes	—
778	C₂×C₄×C₇	C₂⁵	1	4	yes	—
779	C₂×C₄×C₇	C₂⁵	1	8	yes	—
780	C₂×C₄×C₇	C₂⁵	1	8	yes	—
781	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
782	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
783	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
784	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
785	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
786	2₋¹⁺⁴	—	4	16	no	—
787	C₂×#41	—	4	8	no	—
788	C₂×#41	C₂³×C₇	1	2	yes	—
789	C₂×#41	C₂³×C₇	1	2	yes	—
790	C₂×#41	C₂³×C₇	1	4	yes	—
791	C₂×#41	C₂³×C₇	1	2	yes	—
792	C₂×#41	C₂³×C₇	1	8	yes	—
793	C₂×#41	C₂³×C₇	1	8	yes	—
794	C₂×#41	C₂³×C₇	1	4	yes	—
795	C₂×#41	C₂³×C₇	1	4	yes	—
796	C₂×#41	C₂³×C₇	1	4	yes	—
797	C₂×#41	C₂³×C₇	1	8	yes	—
798	C₂×#41	C₂³×C₇	1	16	yes	—
799	C₂²×Q₈	C₂³×C₇	1	2	yes	—
800	C₂²×Q₈	C₂³×C₇	1	2	yes	—
801	C₂²×Q₈	C₂³×C₇	1	8	yes	—
802	C₂²×Q₈	C₂³×C₇	1	2	yes	—
803	C₂²×Q₈	C₂³×C₇	1	8	yes	—
804	C₂²×D₄	C₂³×C₇	1	2	yes	—
805	C₂²×D₄	C₂³×C₇	1	2	yes	—
806	C₂²×D₄	C₂³×C₇	1	4	yes	—
807	C₂²×D₄	C₂³×C₇	1	2	yes	—
808	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
809	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
810	C₂³×C₄	C₂³×C₇	1	4	yes	—
811	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
812	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
813	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
814	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
815	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
816	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
817	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
818	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
819	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
820	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
821	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
822	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
823	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
824	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
825	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
826	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
827	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
828	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
829	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
830	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
831	C₄⋊Q₈	C₂³×C₇	1	16	yes	—
832	#127	C₂³×C₇	1	2	yes	—
833	#127	C₂³×C₇	1	2	yes	—
834	#127	C₂³×C₇	1	2	yes	—
835	#127	C₂³×C₇	1	2	yes	—
836	#127	C₂³×C₇	1	1	yes	characteristic
837	#127	C₂³×C₇	1	8	yes	—
838	#126	C₂³×C₇	1	4	yes	—
839	#126	C₂³×C₇	1	4	yes	—
840	#126	C₂³×C₇	1	16	yes	—
841	#126	C₂³×C₇	1	16	yes	—
842	#126	C₂³×C₇	1	16	yes	—
843	#125	C₂³×C₇	1	4	yes	—
844	#125	C₂³×C₇	1	4	yes	—
845	#125	C₂³×C₇	1	4	yes	—
846	#125	C₂³×C₇	1	4	yes	—
847	#125	C₂³×C₇	1	2	yes	—
848	#125	C₂³×C₇	1	2	yes	—
849	#125	C₂³×C₇	1	2	yes	—
850	#125	C₂³×C₇	1	8	yes	—
851	#125	C₂³×C₇	1	8	yes	—
852	#125	C₂³×C₇	1	16	yes	—
853	#124	C₂³×C₇	1	4	yes	—
854	#124	C₂³×C₇	1	4	yes	—
855	#124	C₂³×C₇	1	4	yes	—
856	#124	C₂³×C₇	1	4	yes	—
857	#124	C₂³×C₇	1	2	yes	—
858	#124	C₂³×C₇	1	2	yes	—
859	#124	C₂³×C₇	1	2	yes	—
860	#124	C₂³×C₇	1	8	yes	—
861	#124	C₂³×C₇	1	8	yes	—
862	#124	C₂³×C₇	1	8	yes	—
863	#124	C₂³×C₇	1	16	yes	—
864	#124	C₂³×C₇	1	16	yes	—
865	#124	C₂³×C₇	1	16	yes	—
866	#123	C₂³×C₇	1	4	yes	—
867	#123	C₂³×C₇	1	4	yes	—
868	#123	C₂³×C₇	1	4	yes	—
869	#123	C₂³×C₇	1	16	yes	—
870	#123	C₂³×C₇	1	16	yes	—
871	#123	C₂³×C₇	1	16	yes	—
872	#123	C₂³×C₇	1	16	yes	—
873	#123	C₂³×C₇	1	16	yes	—
874	#123	C₂³×C₇	1	16	yes	—
875	#123	C₂³×C₇	1	16	yes	—
876	#123	C₂³×C₇	1	16	yes	—
877	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
878	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
879	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
880	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
881	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
882	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
883	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
884	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
885	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
886	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
887	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
888	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
889	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
890	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
891	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
892	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
893	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
894	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
895	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
896	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
897	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
898	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
899	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
900	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
901	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
902	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
903	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
904	C₂²⋊Q₈	C₂³×C₇	1	16	yes	—
905	#121	C₂³×C₇	1	4	yes	—
906	#121	C₂³×C₇	1	4	yes	—
907	#121	C₂³×C₇	1	4	yes	—
908	#121	C₂³×C₇	1	4	yes	—
909	#121	C₂³×C₇	1	4	yes	—
910	#121	C₂³×C₇	1	4	yes	—
911	#121	C₂³×C₇	1	4	yes	—
912	#121	C₂³×C₇	1	4	yes	—
913	#121	C₂³×C₇	1	2	yes	—
914	#121	C₂³×C₇	1	2	yes	—
915	#121	C₂³×C₇	1	2	yes	—
916	#121	C₂³×C₇	1	2	yes	—
917	#121	C₂³×C₇	1	2	yes	—
918	#121	C₂³×C₇	1	2	yes	—
919	#121	C₂³×C₇	1	8	yes	—
920	#121	C₂³×C₇	1	8	yes	—
921	#121	C₂³×C₇	1	8	yes	—
922	#121	C₂³×C₇	1	16	yes	—
923	#121	C₂³×C₇	1	8	yes	—
924	#121	C₂³×C₇	1	8	yes	—
925	#121	C₂³×C₇	1	16	yes	—
926	#121	C₂³×C₇	1	16	yes	—
927	#121	C₂³×C₇	1	16	yes	—
928	#121	C₂³×C₇	1	16	yes	—
929	#121	C₂³×C₇	1	16	yes	—
930	#120	C₂³×C₇	1	4	yes	—
931	#120	C₂³×C₇	1	16	yes	—
932	C₄×Q₈	C₂³×C₇	1	4	yes	—
933	C₄×Q₈	C₂³×C₇	1	4	yes	—
934	C₄×Q₈	C₂³×C₇	1	4	yes	—
935	C₄×Q₈	C₂³×C₇	1	4	yes	—
936	C₄×Q₈	C₂³×C₇	1	4	yes	—
937	C₄×Q₈	C₂³×C₇	1	4	yes	—
938	C₄×Q₈	C₂³×C₇	1	4	yes	—
939	C₄×Q₈	C₂³×C₇	1	4	yes	—
940	C₄×Q₈	C₂³×C₇	1	2	yes	—
941	C₄×Q₈	C₂³×C₇	1	2	yes	—
942	C₄×Q₈	C₂³×C₇	1	2	yes	—
943	C₄×Q₈	C₂³×C₇	1	2	yes	—
944	C₄×Q₈	C₂³×C₇	1	2	yes	—
945	C₄×Q₈	C₂³×C₇	1	2	yes	—
946	C₄×Q₈	C₂³×C₇	1	8	yes	—
947	C₄×Q₈	C₂³×C₇	1	8	yes	—
948	C₄×Q₈	C₂³×C₇	1	8	yes	—
949	C₄×D₄	C₂³×C₇	1	4	yes	—
950	C₄×D₄	C₂³×C₇	1	4	yes	—
951	C₄×D₄	C₂³×C₇	1	4	yes	—
952	C₄×D₄	C₂³×C₇	1	4	yes	—
953	C₄×D₄	C₂³×C₇	1	4	yes	—
954	C₄×D₄	C₂³×C₇	1	4	yes	—
955	C₄×D₄	C₂³×C₇	1	4	yes	—
956	C₄×D₄	C₂³×C₇	1	4	yes	—
957	C₄×D₄	C₂³×C₇	1	4	yes	—
958	C₄×D₄	C₂³×C₇	1	4	yes	—
959	C₄×D₄	C₂³×C₇	1	2	yes	—
960	C₄×D₄	C₂³×C₇	1	2	yes	—
961	C₄×D₄	C₂³×C₇	1	4	yes	—
962	C₄×D₄	C₂³×C₇	1	4	yes	—
963	C₄×D₄	C₂³×C₇	1	4	yes	—
964	C₄×D₄	C₂³×C₇	1	4	yes	—
965	C₄×D₄	C₂³×C₇	1	2	yes	—
966	C₄×D₄	C₂³×C₇	1	2	yes	—
967	C₄×D₄	C₂³×C₇	1	2	yes	—
968	C₄×D₄	C₂³×C₇	1	2	yes	—
969	C₄×D₄	C₂³×C₇	1	8	yes	—
970	C₄×D₄	C₂³×C₇	1	8	yes	—
971	C₄×D₄	C₂³×C₇	1	8	yes	—
972	C₄×D₄	C₂³×C₇	1	8	yes	—
973	C₄×D₄	C₂³×C₇	1	16	yes	—
974	C₄×D₄	C₂³×C₇	1	8	yes	—
975	C₄×D₄	C₂³×C₇	1	16	yes	—
976	C₄×D₄	C₂³×C₇	1	16	yes	—
977	C₄×D₄	C₂³×C₇	1	8	yes	—
978	C₄×D₄	C₂³×C₇	1	8	yes	—
979	C₄×D₄	C₂³×C₇	1	16	yes	—
980	#117	C₂³×C₇	1	4	yes	—
981	#117	C₂³×C₇	1	4	yes	—
982	#117	C₂³×C₇	1	4	yes	—
983	#117	C₂³×C₇	1	4	yes	—
984	#117	C₂³×C₇	1	2	yes	—
985	#117	C₂³×C₇	1	4	yes	—
986	#117	C₂³×C₇	1	2	yes	—
987	#117	C₂³×C₇	1	4	yes	—
988	#117	C₂³×C₇	1	2	yes	—
989	#117	C₂³×C₇	1	4	yes	—
990	#117	C₂³×C₇	1	8	yes	—
991	#117	C₂³×C₇	1	8	yes	—
992	#117	C₂³×C₇	1	16	yes	—
993	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
994	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
995	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
996	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
997	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
998	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
999	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1000	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1001	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1002	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1003	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	—
1004	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1005	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1006	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1007	C₂×C₂²⋊C₄	C₂³×C₇	1	4	yes	—
1008	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
1009	C₂×C₄²	C₂³×C₇	1	4	yes	—
1010	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1011	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1012	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1013	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1014	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1015	C₂×C₄²	C₂³×C₇	1	4	yes	—
1016	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1017	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1018	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1019	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1020	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1021	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1022	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1023	C₂²×C₇	—	2	1	no	—
1024	C₂²×C₇	—	2	1	no	—
1025	C₂²×C₇	—	2	1	no	—
1026	C₂²×C₇	—	2	1	no	—
1027	C₂²×C₇	—	2	1	no	—
1028	C₂²×C₇	—	2	4	no	—
1029	C₂²×C₇	—	2	8	no	—
1030	C₂²×C₇	—	2	1	no	—
1031	C₂²×C₇	—	2	4	no	—
1032	C₂²×C₇	—	2	8	no	—
1033	C₂²×C₇	—	2	1	no	—
1034	C₂²×C₇	—	2	4	no	—
1035	C₂²×C₇	—	2	8	no	—
1036	C₂²×C₇	—	4	4	no	—
1037	C₂²×C₇	—	8	8	no	—
1038	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1039	C₂²×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1040	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1041	C₄×C₇	—	2	1	no	—
1042	C₄×C₇	—	2	1	no	—
1043	C₄×C₇	—	2	8	no	—
1044	C₄×C₇	—	2	4	no	—
1045	C₄×C₇	—	2	8	no	—
1046	C₄×C₇	—	2	1	no	—
1047	C₄×C₇	—	2	1	no	—
1048	C₄×C₇	—	2	4	no	—
1049	C₄×C₇	—	2	4	no	—
1050	C₄×C₇	—	2	1	no	—
1051	C₄×C₇	—	2	1	no	—
1052	C₄×C₇	—	2	1	no	—
1053	C₄×C₇	—	2	8	no	—
1054	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1055	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1056	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1057	C₄×C₇	C₂×2₋¹⁺⁴	1	2	yes	—
1058	C₄×C₇	#585	1	2	yes	—
1059	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1060	C₂⁴	C₂⁴×C₇	1	4	yes	—
1061	#41	—	2	16	no	—
1062	#41	—	2	8	no	—
1063	#41	—	2	8	no	—
1064	#41	—	4	8	no	—
1065	#41	—	4	4	no	—
1066	#41	—	4	8	no	—
1067	#41	—	4	32	no	—
1068	#41	—	4	8	no	—
1069	#41	—	4	16	no	—
1070	#41	—	4	16	no	—
1071	#41	—	4	16	no	—
1072	C₂×Q₈	—	2	8	no	—
1073	C₂×Q₈	—	4	4	no	—
1074	C₂×Q₈	—	4	4	no	—
1075	C₂×Q₈	—	4	16	no	—
1076	C₂×Q₈	—	4	16	no	—
1077	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1078	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1079	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1080	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1081	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1082	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1083	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1084	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1085	C₂×Q₈	C₂⁴×C₇	1	16	yes	—
1086	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1087	C₂×D₄	—	2	8	no	—
1088	C₂×D₄	—	4	4	no	—
1089	C₂×D₄	—	4	4	no	—
1090	C₂×D₄	—	4	8	no	—
1091	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1092	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1093	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1094	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1095	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1096	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1097	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1098	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1099	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1100	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1101	C₂×D₄	C₂⁴×C₇	1	16	yes	—
1102	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1103	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1104	C₂×D₄	C₂⁴×C₇	1	16	yes	—
1105	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1106	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1107	C₂²×C₄	—	2	4	no	—
1108	C₂²×C₄	—	2	4	no	—
1109	C₂²×C₄	—	4	2	no	—
1110	C₂²×C₄	—	4	8	no	—
1111	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1118	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1123	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1124	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1125	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1126	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1127	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1128	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1129	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1131	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1132	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1133	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1134	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
1135	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
1136	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1137	C₂²×C₄	C₂⁴×C₇	1	16	yes	—
1138	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1140	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1141	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1142	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1143	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1144	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1145	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1146	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1147	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1148	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1149	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1150	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1151	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1152	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1153	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1154	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1155	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1156	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1157	C₄⋊C₄	C₂⁴×C₇	1	16	yes	—
1158	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1159	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1160	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1161	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1162	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1163	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1164	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1165	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1166	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1167	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1168	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1169	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1170	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1171	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1172	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1173	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1174	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1175	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1176	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1177	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1178	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1179	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1180	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1181	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1182	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1183	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1184	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1185	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1186	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1187	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1188	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1189	C₂²⋊C₄	C₂⁴×C₇	1	16	yes	—
1190	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1191	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1192	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1193	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1194	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1195	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1196	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1197	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1198	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1199	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1200	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1201	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1202	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1203	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1204	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1205	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1206	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1207	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1208	C₄²	C₂⁴×C₇	1	8	yes	—
1209	C₄²	C₂⁴×C₇	1	4	yes	—
1210	C₄²	C₂⁴×C₇	1	4	yes	—
1211	C₄²	C₂⁴×C₇	1	4	yes	—
1212	C₄²	C₂⁴×C₇	1	8	yes	—
1213	C₄²	C₂⁴×C₇	1	16	yes	—
1214	C₂×C₇	—	2	2	no	—
1215	C₂×C₇	—	2	2	no	—
1216	C₂×C₇	—	4	4	no	—
1217	C₂×C₇	—	4	1	no	—
1218	C₂×C₇	—	4	8	no	—
1219	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1220	C₂×C₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1221	C₂×C₇	C₂×#585	1	1	yes	characteristic
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	8	no	—
1225	C₂³	—	4	1	no	—
1226	C₂³	—	4	4	no	—
1227	C₂³	—	4	4	no	—
1228	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1229	C₂³	C₂⁵×C₇	1	8	yes	—
1230	C₂³	C₂⁵×C₇	1	4	yes	—
1231	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1232	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1233	Q₈	—	2	8	no	—
1234	Q₈	—	2	8	no	—
1235	Q₈	—	2	4	no	—
1236	Q₈	—	2	8	no	—
1237	Q₈	—	2	4	no	—
1238	Q₈	—	2	8	no	—
1239	Q₈	—	4	16	no	—
1240	Q₈	—	4	4	no	—
1241	Q₈	—	4	4	no	—
1242	Q₈	—	4	2	no	—
1243	D₄	—	2	16	no	—
1244	D₄	—	2	8	no	—
1245	D₄	—	2	8	no	—
1246	D₄	—	2	8	no	—
1247	D₄	—	2	4	no	—
1248	D₄	—	2	8	no	—
1249	D₄	—	2	8	no	—
1250	D₄	—	2	4	no	—
1251	D₄	—	2	8	no	—
1252	D₄	—	4	4	no	—
1253	D₄	—	4	4	no	—
1254	D₄	—	4	8	no	—
1255	D₄	—	4	4	no	—
1256	D₄	—	4	2	no	—
1257	D₄	—	4	16	no	—
1258	D₄	—	4	16	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	8	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	2	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	16	no	—
1267	C₂×C₄	—	2	8	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	8	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	8	no	—
1277	C₂×C₄	—	4	1	no	—
1278	C₂×C₄	—	4	1	no	—
1279	C₂×C₄	—	4	1	no	—
1280	C₂×C₄	—	4	4	no	—
1281	C₂×C₄	—	4	8	no	—
1282	C₂×C₄	—	4	4	no	—
1283	C₂×C₄	—	4	16	no	—
1284	C₂×C₄	—	4	16	no	—
1285	C₂×C₄	—	4	16	no	—
1286	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1287	C₂×C₄	C₇×2₋¹⁺⁴	1	4	yes	complemented
1288	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1289	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1290	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1291	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1292	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1293	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1294	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1295	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1296	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1297	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1298	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1299	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1300	C₂×C₄	C₂⁵×C₇	1	8	yes	—
1301	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1302	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1303	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1304	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1305	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1306	C₇	#62835	1	1	yes	characteristic, direct product factor, Sylow
1307	C₂²	—	2	1	no	—
1308	C₂²	—	2	1	no	—
1309	C₂²	—	2	1	no	—
1310	C₂²	—	2	1	no	—
1311	C₂²	—	2	1	no	—
1312	C₂²	—	2	4	no	—
1313	C₂²	—	2	8	no	—
1314	C₂²	—	2	1	no	—
1315	C₂²	—	2	4	no	—
1316	C₂²	—	2	8	no	—
1317	C₂²	—	2	1	no	—
1318	C₂²	—	2	4	no	—
1319	C₂²	—	2	8	no	—
1320	C₂²	—	4	4	no	—
1321	C₂²	—	8	8	no	—
1322	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1323	C₂²	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1324	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1325	C₄	—	2	1	no	—
1326	C₄	—	2	1	no	—
1327	C₄	—	2	8	no	—
1328	C₄	—	2	4	no	—
1329	C₄	—	2	8	no	—
1330	C₄	—	2	1	no	—
1331	C₄	—	2	1	no	—
1332	C₄	—	2	4	no	—
1333	C₄	—	2	4	no	—
1334	C₄	—	2	1	no	—
1335	C₄	—	2	1	no	—
1336	C₄	—	2	1	no	—
1337	C₄	—	2	8	no	—
1338	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1339	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1340	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1341	C₄	C₂×C₇×2₋¹⁺⁴	1	2	yes	—
1342	C₄	C₇×#585	1	2	yes	—
1343	C₂	—	2	2	no	—
1344	C₂	—	2	2	no	—
1345	C₂	—	4	1	no	—
1346	C₂	—	4	8	no	—
1347	C₂	—	4	4	no	—
1348	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1349	C₂	C₂²×C₇×2₋¹⁺⁴	1	1	yes	characteristic
1350	C₂	C₂×C₇×#585	1	1	yes	characteristic

	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×#3561	C₂	semidirect
2. C₇×#3559	C₂	semidirect
3. C₇×#3554	C₂	semidirect
4. C₇×#3550	C₂	semidirect
5. C₇×#3548	C₂	semidirect
6. C₇×#3547	C₂	semidirect
7. C₇×#3536	C₂	semidirect
8. C₇×#3522	C₂	semidirect
9. C₇×#3520	C₂	semidirect
10. C₇×#3511	C₂	semidirect
11. C₇×#3511	C₂	semidirect
12. C₇×#3508	C₂	semidirect
13. C₇×#3507	C₂	semidirect
14. C₇×#3506	C₂	semidirect
15. C₇×#3503	C₂	semidirect
16. C₇×#3501	C₂	semidirect
17. C₇×#3499	C₂	semidirect
18. C₇×#3497	C₂	semidirect
19. C₇×#3494	C₂	semidirect
20. C₇×#3489	C₂	semidirect
21. C₇×#3444	C₂	semidirect
22. C₂×C₇×#533	C₂	semidirect
23. C₂×C₇×#532	C₂	semidirect
24. C₂×C₇×2₋¹⁺⁴	C₂²	semidirect
26. C₇×#563	C₂²	semidirect
27. C₇×#562	C₂²	semidirect
28. C₇×#562	C₂²	semidirect
29. C₇×#559	C₂²	semidirect
30. C₇×#559	C₂²	semidirect
31. C₇×#559	C₂²	semidirect
32. C₇×Q₈²	C₂²	semidirect
33. C₇×#557	C₂²	semidirect
34. C₇×#556	C₂²	semidirect
35. C₇×#556	C₂²	semidirect
36. C₇×#556	C₂²	semidirect
37. C₇×#555	C₂²	semidirect
38. C₇×#555	C₂²	semidirect
40. C₇×#554	C₂²	semidirect
41. C₇×#554	C₂²	semidirect
42. C₇×#554	C₂²	semidirect
43. C₇×#554	C₂²	semidirect
44. C₇×#554	C₂²	semidirect
45. C₇×#553	C₂²	semidirect
46. C₇×#553	C₂²	semidirect
47. C₇×#553	C₂²	semidirect
48. C₇×#552	C₂²	semidirect
50. C₇×#550	C₂²	semidirect
51. C₇×#550	C₂²	semidirect
52. C₇×#550	C₂²	semidirect
54. C₇×D₄×Q₈	C₂²	semidirect
55. C₇×D₄×Q₈	C₂²	semidirect
56. C₇×D₄×Q₈	C₂²	semidirect
57. C₇×D₄×Q₈	C₂²	semidirect
58. C₇×#548	C₂²	semidirect
59. C₇×#548	C₂²	semidirect
60. C₇×#548	C₂²	semidirect
61. C₇×#548	C₂²	semidirect
62. C₇×#547	C₂²	semidirect
63. C₇×#547	C₂²	semidirect
64. C₇×#547	C₂²	semidirect
65. C₇×#547	C₂²	semidirect
66. C₇×#547	C₂²	semidirect
67. C₇×#547	C₂²	semidirect
68. C₇×#547	C₂²	semidirect
73. C₇×#544	C₂²	semidirect
75. C₇×#542	C₂²	semidirect
76. C₇×#542	C₂²	semidirect
77. C₇×#542	C₂²	semidirect
78. C₇×#542	C₂²	semidirect
79. C₇×#542	C₂²	semidirect
80. C₇×#540	C₂²	semidirect
81. C₇×#540	C₂²	semidirect
82. C₇×#539	C₂²	semidirect
83. C₇×#539	C₂²	semidirect
85. C₇×#537	C₂²	semidirect
86. C₇×#537	C₂²	semidirect
87. C₇×#537	C₂²	semidirect
88. C₇×#537	C₂²	semidirect
89. C₇×#536	C₂²	semidirect
90. C₇×#536	C₂²	semidirect
91. C₇×#536	C₂²	semidirect
98. C₇×#533	C₂²	semidirect
99. C₇×#533	C₂²	semidirect
100. C₇×#533	C₂²	semidirect
101. C₇×#533	C₂²	semidirect
102. C₇×#533	C₂²	semidirect
103. C₇×#533	C₂²	semidirect
104. C₇×#533	C₂²	semidirect
114. C₇×#532	C₂²	semidirect
115. C₇×#532	C₂²	semidirect
116. C₇×#532	C₂²	semidirect
117. C₇×#532	C₂²	semidirect
118. C₇×#532	C₂²	semidirect
120. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
121. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
122. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
126. C₇×#529	C₂²	semidirect
127. C₇×#529	C₂²	semidirect
128. C₇×#529	C₂²	semidirect
129. C₇×#529	C₂²	semidirect
130. C₇×#529	C₂²	semidirect
131. C₂×C₇×#125	C₂²	semidirect
143. C₇×#520	C₂²	semidirect
144. C₇×#520	C₂²	semidirect
147. C₄×C₇×#41	C₂²	semidirect
148. C₄×C₇×#41	C₂²	semidirect
149. C₂×C₄×C₇×Q₈	C₂²	semidirect
150. C₂×C₄×C₇×Q₈	C₂²	semidirect
155. #62835	C₇	direct (N × H)
393. #3561	C₂×C₇	semidirect
394. #3559	C₂×C₇	semidirect
395. #3554	C₂×C₇	semidirect
396. #3550	C₂×C₇	semidirect
397. #3548	C₂×C₇	semidirect
398. #3547	C₂×C₇	semidirect
399. #3536	C₂×C₇	semidirect
400. #3522	C₂×C₇	semidirect
401. #3520	C₂×C₇	semidirect
402. #3511	C₂×C₇	semidirect
403. #3511	C₂×C₇	semidirect
404. #3508	C₂×C₇	semidirect
405. #3507	C₂×C₇	semidirect
406. #3506	C₂×C₇	semidirect
407. #3503	C₂×C₇	semidirect
408. #3501	C₂×C₇	semidirect
409. #3499	C₂×C₇	semidirect
410. #3497	C₂×C₇	semidirect
411. #3494	C₂×C₇	semidirect
412. #3489	C₂×C₇	semidirect
413. #3444	C₂×C₇	semidirect
414. C₂×#533	C₂×C₇	semidirect
415. C₂×#532	C₂×C₇	semidirect
571. C₂×2₋¹⁺⁴	C₂²×C₇	semidirect
573. #563	C₂²×C₇	semidirect
574. #562	C₂²×C₇	semidirect
575. #562	C₂²×C₇	semidirect
576. #559	C₂²×C₇	semidirect
577. #559	C₂²×C₇	semidirect
578. #559	C₂²×C₇	semidirect
579. Q₈²	C₂²×C₇	semidirect
580. #557	C₂²×C₇	semidirect
581. #556	C₂²×C₇	semidirect
582. #556	C₂²×C₇	semidirect
583. #556	C₂²×C₇	semidirect
584. #555	C₂²×C₇	semidirect
585. #555	C₂²×C₇	semidirect
587. #554	C₂²×C₇	semidirect
588. #554	C₂²×C₇	semidirect
589. #554	C₂²×C₇	semidirect
590. #554	C₂²×C₇	semidirect
591. #554	C₂²×C₇	semidirect
592. #553	C₂²×C₇	semidirect
593. #553	C₂²×C₇	semidirect
594. #553	C₂²×C₇	semidirect
595. #552	C₂²×C₇	semidirect
597. #550	C₂²×C₇	semidirect
598. #550	C₂²×C₇	semidirect
599. #550	C₂²×C₇	semidirect
601. D₄×Q₈	C₂²×C₇	semidirect
602. D₄×Q₈	C₂²×C₇	semidirect
603. D₄×Q₈	C₂²×C₇	semidirect
604. D₄×Q₈	C₂²×C₇	semidirect
605. #548	C₂²×C₇	semidirect
606. #548	C₂²×C₇	semidirect
607. #548	C₂²×C₇	semidirect
608. #548	C₂²×C₇	semidirect
609. #547	C₂²×C₇	semidirect
610. #547	C₂²×C₇	semidirect
611. #547	C₂²×C₇	semidirect
612. #547	C₂²×C₇	semidirect
613. #547	C₂²×C₇	semidirect
614. #547	C₂²×C₇	semidirect
615. #547	C₂²×C₇	semidirect
620. #544	C₂²×C₇	semidirect
622. #542	C₂²×C₇	semidirect
623. #542	C₂²×C₇	semidirect
624. #542	C₂²×C₇	semidirect
625. #542	C₂²×C₇	semidirect
626. #542	C₂²×C₇	semidirect
627. #540	C₂²×C₇	semidirect
628. #540	C₂²×C₇	semidirect
629. #539	C₂²×C₇	semidirect
630. #539	C₂²×C₇	semidirect
632. #537	C₂²×C₇	semidirect
633. #537	C₂²×C₇	semidirect
634. #537	C₂²×C₇	semidirect
635. #537	C₂²×C₇	semidirect
636. #536	C₂²×C₇	semidirect
637. #536	C₂²×C₇	semidirect
638. #536	C₂²×C₇	semidirect
645. #533	C₂²×C₇	semidirect
646. #533	C₂²×C₇	semidirect
647. #533	C₂²×C₇	semidirect
648. #533	C₂²×C₇	semidirect
649. #533	C₂²×C₇	semidirect
650. #533	C₂²×C₇	semidirect
651. #533	C₂²×C₇	semidirect
661. #532	C₂²×C₇	semidirect
662. #532	C₂²×C₇	semidirect
663. #532	C₂²×C₇	semidirect
664. #532	C₂²×C₇	semidirect
665. #532	C₂²×C₇	semidirect
667. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
668. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
669. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
673. #529	C₂²×C₇	semidirect
674. #529	C₂²×C₇	semidirect
675. #529	C₂²×C₇	semidirect
676. #529	C₂²×C₇	semidirect
677. #529	C₂²×C₇	semidirect
678. C₂×#125	C₂²×C₇	semidirect
690. #520	C₂²×C₇	semidirect
691. #520	C₂²×C₇	semidirect
694. C₄×#41	C₂²×C₇	semidirect
695. C₄×#41	C₂²×C₇	semidirect
696. C₂×C₄×Q₈	C₂²×C₇	semidirect
697. C₂×C₄×Q₈	C₂²×C₇	semidirect
767. C₂×C₄×C₇	2₋¹⁺⁴	semidirect
1287. C₂×C₄	C₇×2₋¹⁺⁴	semidirect
1306. C₇	#62835	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×#3561	2
C₇×#3559	2
C₇×#3554	2
C₇×#3550	2
C₇×#3548	2
C₇×#3547	2
C₇×#3536	2
C₇×#3522	2
C₇×#3520	2
C₇×#3511	2
C₇×#3508	2
C₇×#3507	2
C₇×#3506	2
C₇×#3503	2
C₇×#3501	2
C₇×#3499	2
C₇×#3497	2
C₇×#3494	2
C₇×#3489	2
C₇×#3444	2
C₂×C₇×#533	2
C₂×C₇×#532	2
#62835	7

Subgroups — C7×#62835 #13240051

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62835 #13240051