Subgroups — C₇×#62857 #13240073

Order 1792.

7082 conjugacy classes of subgroups.

The subgroup lattice has 1346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3524	C₂	1	2	yes	maximal, complemented
2	C₇×#3522	C₂	1	2	yes	maximal, complemented
3	C₇×#3521	C₂	1	6	yes	maximal, complemented
4	C₇×#3520	C₂	1	6	yes	maximal, complemented
5	C₇×#3518	C₂	1	2	yes	maximal, complemented
6	C₇×#3516	C₂	1	2	yes	maximal, complemented
7	C₇×#3514	C₂	1	6	yes	maximal, complemented
8	C₇×#3513	C₂	1	6	yes	maximal, complemented
9	C₇×#3511	C₂	1	3	yes	maximal, complemented
10	C₇×#3510	C₂	1	3	yes	maximal, complemented
11	C₇×#3503	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3500	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3495	C₂	1	3	yes	maximal, complemented
14	C₇×#3494	C₂	1	3	yes	maximal, complemented
15	C₇×#3489	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3488	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3461	C₂	1	3	yes	maximal, complemented
18	C₇×#3460	C₂	1	3	yes	maximal, complemented
19	C₇×#3455	C₂	1	3	yes	maximal, complemented
20	C₂×C₇×#542	C₂	1	3	yes	maximal, complemented
21	C₄×C₇×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₇×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3428	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂×C₇×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
26	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
27	C₇×#559	C₂²	1	6	yes	complemented
28	C₇×#559	C₂²	1	6	yes	complemented
29	C₇×Q₈²	C₂²	1	2	yes	complemented
30	C₇×#557	C₂²	1	2	yes	complemented
31	C₇×#556	C₂²	1	6	yes	complemented
32	C₇×#556	C₂²	1	6	yes	complemented
33	C₇×#556	C₂²	1	6	yes	complemented
34	C₇×#556	C₂²	1	6	yes	complemented
35	C₇×#555	C₂²	1	6	yes	complemented
36	C₇×#555	C₂²	1	6	yes	complemented
37	C₇×#554	C₂²	1	6	yes	complemented
38	C₇×#554	C₂²	1	6	yes	complemented
39	C₇×#554	C₂²	1	6	yes	complemented
40	C₇×#553	C₂²	1	6	yes	complemented
41	C₇×#553	C₂²	1	6	yes	complemented
42	C₇×#553	C₂²	1	12	yes	complemented
43	C₇×#552	C₂²	1	6	yes	complemented
44	C₇×#552	C₂²	1	12	yes	complemented
45	C₇×#552	C₂²	1	6	yes	complemented
46	C₇×#551	C₂²	1	12	yes	complemented
47	C₇×#551	C₂²	1	12	yes	complemented
48	C₇×#551	C₂²	1	12	yes	complemented
49	C₇×#551	C₂²	1	12	yes	complemented
50	C₇×#550	C₂²	1	2	yes	—
51	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
52	C₇×D₄×Q₈	C₂²	1	6	yes	complemented
53	C₇×#548	C₂²	1	2	yes	—
54	C₇×#548	C₂²	1	2	yes	complemented
55	C₇×#548	C₂²	1	2	yes	complemented
56	C₇×#548	C₂²	1	2	yes	complemented
57	C₇×#548	C₂²	1	12	yes	complemented
58	C₇×#547	C₂²	1	6	yes	complemented
59	C₇×#547	C₂²	1	6	yes	complemented
60	C₇×#547	C₂²	1	6	yes	complemented
61	C₇×#546	C₂²	1	6	yes	—
62	C₇×#546	C₂²	1	6	yes	complemented
63	C₇×#546	C₂²	1	12	yes	complemented
64	C₇×#546	C₂²	1	6	yes	complemented
65	C₇×#546	C₂²	1	6	yes	complemented
66	C₇×D₄²	C₂²	1	6	yes	—
67	C₇×#544	C₂²	1	3	yes	complemented
68	C₇×#544	C₂²	1	3	yes	complemented
69	C₇×#542	C₂²	1	3	yes	complemented
70	C₇×#542	C₂²	1	6	yes	complemented
71	C₇×#542	C₂²	1	6	yes	complemented
72	C₇×#542	C₂²	1	6	yes	complemented
73	C₇×#542	C₂²	1	6	yes	complemented
74	C₇×#542	C₂²	1	6	yes	complemented
75	C₇×#542	C₂²	1	6	yes	complemented
76	C₇×#542	C₂²	1	6	yes	complemented
77	C₇×#542	C₂²	1	1	yes	characteristic, complemented
78	C₇×#542	C₂²	1	3	yes	complemented
79	C₇×#542	C₂²	1	3	yes	complemented
80	C₇×#542	C₂²	1	6	yes	complemented
81	C₇×#542	C₂²	1	6	yes	complemented
82	C₇×#541	C₂²	1	3	yes	complemented
83	C₇×#541	C₂²	1	3	yes	complemented
84	C₇×#541	C₂²	1	6	yes	complemented
85	C₇×#540	C₂²	1	3	yes	complemented
86	C₇×#540	C₂²	1	3	yes	complemented
87	C₇×#540	C₂²	1	6	yes	complemented
88	C₇×#539	C₂²	1	6	yes	complemented
89	C₇×#539	C₂²	1	6	yes	complemented
90	C₇×#539	C₂²	1	12	yes	complemented
91	C₇×#538	C₂²	1	6	yes	complemented
92	C₇×#538	C₂²	1	6	yes	complemented
93	C₇×#538	C₂²	1	12	yes	complemented
94	C₇×#537	C₂²	1	3	yes	—
95	C₇×#537	C₂²	1	3	yes	complemented
96	C₇×#536	C₂²	1	3	yes	complemented
97	C₇×#536	C₂²	1	3	yes	complemented
98	C₇×#535	C₂²	1	3	yes	—
99	C₇×#535	C₂²	1	3	yes	complemented
100	C₇×#533	C₂²	1	3	yes	complemented
101	C₇×#533	C₂²	1	6	yes	complemented
102	C₇×#533	C₂²	1	6	yes	complemented
103	C₇×#532	C₂²	1	3	yes	complemented
104	C₇×#532	C₂²	1	6	yes	complemented
105	C₇×#532	C₂²	1	6	yes	complemented
106	C₂×C₇×C₄⋊Q₈	C₂²	1	3	yes	complemented
107	C₇×#529	C₂²	1	6	yes	complemented
108	C₇×#529	C₂²	1	6	yes	complemented
109	C₇×#529	C₂²	1	6	yes	complemented
110	C₇×#529	C₂²	1	6	yes	complemented
111	C₇×#529	C₂²	1	6	yes	complemented
112	C₇×#529	C₂²	1	6	yes	complemented
113	C₇×#529	C₂²	1	6	yes	complemented
114	C₇×#529	C₂²	1	6	yes	complemented
115	C₇×#529	C₂²	1	12	yes	complemented
116	C₂×C₇×#126	C₂²	1	6	yes	complemented
117	C₂×C₇×#124	C₂²	1	3	yes	complemented
118	C₂×C₇×#124	C₂²	1	6	yes	complemented
119	C₇×#525	C₂²	1	3	yes	—
120	C₇×#525	C₂²	1	3	yes	complemented
121	C₇×#525	C₂²	1	12	yes	complemented
122	C₂×C₇×#123	C₂²	1	6	yes	complemented
123	C₂×C₇×C₂²⋊Q₈	C₂²	1	3	yes	complemented
124	C₂×C₇×C₂²⋊Q₈	C₂²	1	6	yes	complemented
125	C₂×C₇×#121	C₂²	1	3	yes	—
126	C₇×#520	C₂²	1	1	yes	characteristic
127	C₇×#520	C₂²	1	1	yes	characteristic
128	C₇×#520	C₂²	1	3	yes	complemented
129	C₇×#520	C₂²	1	3	yes	complemented
130	C₇×#520	C₂²	1	1	yes	characteristic, complemented
131	C₇×#520	C₂²	1	1	yes	characteristic, complemented
132	C₇×#520	C₂²	1	3	yes	complemented
133	C₇×#520	C₂²	1	2	yes	complemented
134	C₇×#520	C₂²	1	3	yes	complemented
135	C₇×#520	C₂²	1	6	yes	complemented
136	C₇×#519	C₂²	1	1	yes	characteristic, complemented
137	C₇×#519	C₂²	1	1	yes	characteristic, complemented
138	C₇×#519	C₂²	1	3	yes	complemented
139	C₇×#519	C₂²	1	2	yes	complemented
140	C₇×#518	C₂²	1	3	yes	complemented
141	C₇×#518	C₂²	1	3	yes	complemented
142	C₇×#518	C₂²	1	3	yes	complemented
143	C₇×#518	C₂²	1	6	yes	complemented
144	C₄×C₇×#41	C₂²	1	1	yes	characteristic
145	C₄×C₇×#41	C₂²	1	1	yes	characteristic
146	C₄×C₇×#41	C₂²	1	3	yes	complemented
147	C₄×C₇×#41	C₂²	1	3	yes	complemented
148	C₄×C₇×#41	C₂²	1	3	yes	complemented
149	C₄×C₇×#41	C₂²	1	2	yes	complemented
150	C₄×C₇×#41	C₂²	1	3	yes	complemented
151	C₄×C₇×#41	C₂²	1	6	yes	complemented
152	C₂×C₄×C₇×Q₈	C₂²	1	3	yes	complemented
153	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
154	C₂×C₄×C₇×D₄	C₂²	1	3	yes	complemented
155	C₂×C₄×C₇×D₄	C₂²	1	6	yes	complemented
156	C₂×C₇×#117	C₂²	1	3	yes	complemented
157	C₂×C₇×#117	C₂²	1	3	yes	complemented
158	#62857	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
159	C₇×2₋¹⁺⁴	—	2	8	no	—
160	C₇×H(5,𝔽₂)	—	2	8	no	—
161	C₂×C₇×#41	—	2	8	no	—
162	C₂×C₇×#41	C₂³	1	3	yes	—
163	C₂×C₇×#41	C₂³	1	3	yes	—
164	C₂×C₇×#41	C₂³	1	1	yes	characteristic
165	C₂×C₇×#41	C₂³	1	3	yes	—
166	C₂×C₇×#41	C₂³	1	2	yes	—
167	C₂×C₇×#41	C₂³	1	3	yes	—
168	C₂×C₇×#41	C₂³	1	6	yes	—
169	C₂×C₇×#41	C₂³	1	12	yes	—
170	C₂×C₇×#41	C₂³	1	1	yes	characteristic
171	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
172	C₂²×C₇×Q₈	C₂³	1	3	yes	—
173	C₂²×C₇×Q₈	C₂³	1	2	yes	—
174	C₂²×C₇×Q₈	C₂³	1	6	yes	—
175	C₂²×C₇×D₄	C₂³	1	3	yes	—
176	C₂²×C₇×D₄	C₂³	1	3	yes	—
177	C₂²×C₇×D₄	C₂³	1	6	yes	—
178	C₂²×C₇×D₄	C₂³	1	6	yes	—
179	C₂³×C₄×C₇	C₂³	1	3	yes	—
180	C₂³×C₄×C₇	C₂³	1	6	yes	—
181	C₇×C₄⋊Q₈	C₂³	1	3	yes	—
182	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
183	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
184	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
185	C₇×C₄⋊Q₈	C₂³	1	3	yes	—
186	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
187	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
188	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
189	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
190	C₇×#127	C₂³	1	3	yes	—
191	C₇×#127	C₂³	1	6	yes	—
192	C₇×#126	C₂³	1	6	yes	—
193	C₇×#126	C₂³	1	12	yes	—
194	C₇×#126	C₂³	1	12	yes	—
195	C₇×#126	C₂³	1	12	yes	—
196	C₇×#126	C₂³	1	6	yes	—
197	C₇×#126	C₂³	1	6	yes	—
198	C₇×#126	C₂³	1	2	yes	—
199	C₇×#126	C₂³	1	6	yes	—
200	C₇×#126	C₂³	1	6	yes	—
201	C₇×#126	C₂³	1	12	yes	—
202	C₇×#126	C₂³	1	12	yes	—
203	C₇×#126	C₂³	1	6	yes	—
204	C₇×#126	C₂³	1	6	yes	—
205	C₇×#125	C₂³	1	6	yes	—
206	C₇×#125	C₂³	1	3	yes	—
207	C₇×#125	C₂³	1	3	yes	—
208	C₇×#125	C₂³	1	6	yes	—
209	C₇×#125	C₂³	1	6	yes	—
210	C₇×#125	C₂³	1	6	yes	—
211	C₇×#125	C₂³	1	6	yes	—
212	C₇×#125	C₂³	1	6	yes	—
213	C₇×#125	C₂³	1	12	yes	—
214	C₇×#124	C₂³	1	6	yes	—
215	C₇×#124	C₂³	1	3	yes	—
216	C₇×#124	C₂³	1	6	yes	—
217	C₇×#124	C₂³	1	12	yes	—
218	C₇×#124	C₂³	1	6	yes	—
219	C₇×#124	C₂³	1	6	yes	—
220	C₇×#124	C₂³	1	12	yes	—
221	C₇×#124	C₂³	1	12	yes	—
222	C₇×#124	C₂³	1	2	yes	—
223	C₇×#124	C₂³	1	6	yes	—
224	C₇×#124	C₂³	1	6	yes	—
225	C₇×#124	C₂³	1	6	yes	—
226	C₇×#124	C₂³	1	6	yes	—
227	C₇×#124	C₂³	1	1	yes	characteristic
228	C₇×#124	C₂³	1	12	yes	—
229	C₇×#123	C₂³	1	6	yes	—
230	C₇×#123	C₂³	1	12	yes	—
231	C₇×#123	C₂³	1	12	yes	—
232	C₇×#123	C₂³	1	12	yes	—
233	C₇×#123	C₂³	1	6	yes	—
234	C₇×#123	C₂³	1	6	yes	—
235	C₇×#123	C₂³	1	6	yes	—
236	C₇×#123	C₂³	1	2	yes	—
237	C₇×#123	C₂³	1	6	yes	—
238	C₇×#123	C₂³	1	12	yes	—
239	C₇×#123	C₂³	1	12	yes	—
240	C₇×#123	C₂³	1	12	yes	—
241	C₇×#123	C₂³	1	6	yes	—
242	C₇×#123	C₂³	1	6	yes	—
243	C₇×#123	C₂³	1	6	yes	—
244	C₇×#123	C₂³	1	6	yes	—
245	C₇×#123	C₂³	1	12	yes	—
246	C₇×C₂²⋊Q₈	C₂³	1	3	yes	—
247	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
248	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
249	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
250	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
251	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
252	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
253	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
254	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₇×C₂²⋊Q₈	C₂³	1	3	yes	—
256	C₇×C₂²⋊Q₈	C₂³	1	3	yes	—
257	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
258	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
259	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
260	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
261	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
262	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
263	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
264	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
265	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
266	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
267	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
268	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
269	C₇×#121	C₂³	1	3	yes	—
270	C₇×#121	C₂³	1	6	yes	—
271	C₇×#121	C₂³	1	6	yes	—
272	C₇×#121	C₂³	1	6	yes	—
273	C₇×#121	C₂³	1	3	yes	—
274	C₇×#121	C₂³	1	1	yes	characteristic
275	C₇×#121	C₂³	1	6	yes	—
276	C₇×#121	C₂³	1	3	yes	—
277	C₇×#121	C₂³	1	12	yes	—
278	C₇×#121	C₂³	1	6	yes	—
279	C₇×#121	C₂³	1	6	yes	—
280	C₇×#121	C₂³	1	12	yes	—
281	C₇×#121	C₂³	1	6	yes	—
282	C₇×#121	C₂³	1	6	yes	—
283	C₇×#121	C₂³	1	6	yes	—
284	C₇×#121	C₂³	1	6	yes	—
285	C₇×#121	C₂³	1	6	yes	—
286	C₇×#121	C₂³	1	6	yes	—
287	C₇×#121	C₂³	1	6	yes	—
288	C₇×#121	C₂³	1	12	yes	—
289	C₇×#120	C₂³	1	6	yes	—
290	C₇×#120	C₂³	1	12	yes	—
291	C₇×#120	C₂³	1	12	yes	—
292	C₇×#120	C₂³	1	6	yes	—
293	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
294	C₄×C₇×Q₈	C₂³	1	3	yes	—
295	C₄×C₇×Q₈	C₂³	1	6	yes	—
296	C₄×C₇×Q₈	C₂³	1	2	yes	—
297	C₄×C₇×Q₈	C₂³	1	6	yes	—
298	C₄×C₇×Q₈	C₂³	1	6	yes	—
299	C₄×C₇×Q₈	C₂³	1	6	yes	—
300	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
301	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
302	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
303	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
304	C₄×C₇×Q₈	C₂³	1	3	yes	—
305	C₄×C₇×Q₈	C₂³	1	6	yes	—
306	C₄×C₇×Q₈	C₂³	1	3	yes	—
307	C₄×C₇×Q₈	C₂³	1	3	yes	—
308	C₄×C₇×Q₈	C₂³	1	3	yes	—
309	C₄×C₇×Q₈	C₂³	1	3	yes	—
310	C₄×C₇×Q₈	C₂³	1	2	yes	—
311	C₄×C₇×Q₈	C₂³	1	3	yes	—
312	C₄×C₇×Q₈	C₂³	1	6	yes	—
313	C₄×C₇×Q₈	C₂³	1	6	yes	—
314	C₄×C₇×Q₈	C₂³	1	12	yes	—
315	C₄×C₇×D₄	C₂³	1	3	yes	—
316	C₄×C₇×D₄	C₂³	1	6	yes	—
317	C₄×C₇×D₄	C₂³	1	3	yes	—
318	C₄×C₇×D₄	C₂³	1	6	yes	—
319	C₄×C₇×D₄	C₂³	1	6	yes	—
320	C₄×C₇×D₄	C₂³	1	6	yes	—
321	C₄×C₇×D₄	C₂³	1	6	yes	—
322	C₄×C₇×D₄	C₂³	1	6	yes	—
323	C₄×C₇×D₄	C₂³	1	12	yes	—
324	C₄×C₇×D₄	C₂³	1	3	yes	—
325	C₄×C₇×D₄	C₂³	1	3	yes	—
326	C₄×C₇×D₄	C₂³	1	3	yes	—
327	C₄×C₇×D₄	C₂³	1	6	yes	—
328	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
329	C₄×C₇×D₄	C₂³	1	6	yes	—
330	C₄×C₇×D₄	C₂³	1	3	yes	—
331	C₄×C₇×D₄	C₂³	1	6	yes	—
332	C₄×C₇×D₄	C₂³	1	6	yes	—
333	C₄×C₇×D₄	C₂³	1	6	yes	—
334	C₄×C₇×D₄	C₂³	1	3	yes	—
335	C₄×C₇×D₄	C₂³	1	3	yes	—
336	C₄×C₇×D₄	C₂³	1	3	yes	—
337	C₄×C₇×D₄	C₂³	1	6	yes	—
338	C₄×C₇×D₄	C₂³	1	6	yes	—
339	C₄×C₇×D₄	C₂³	1	3	yes	—
340	C₄×C₇×D₄	C₂³	1	6	yes	—
341	C₄×C₇×D₄	C₂³	1	6	yes	—
342	C₄×C₇×D₄	C₂³	1	3	yes	—
343	C₄×C₇×D₄	C₂³	1	12	yes	—
344	C₄×C₇×D₄	C₂³	1	6	yes	—
345	C₄×C₇×D₄	C₂³	1	6	yes	—
346	C₄×C₇×D₄	C₂³	1	6	yes	—
347	C₄×C₇×D₄	C₂³	1	6	yes	—
348	C₄×C₇×D₄	C₂³	1	12	yes	—
349	C₄×C₇×D₄	C₂³	1	12	yes	—
350	C₄×C₇×D₄	C₂³	1	12	yes	—
351	C₄×C₇×D₄	C₂³	1	6	yes	—
352	C₄×C₇×D₄	C₂³	1	6	yes	—
353	C₇×#117	C₂³	1	3	yes	—
354	C₇×#117	C₂³	1	1	yes	characteristic
355	C₇×#117	C₂³	1	3	yes	—
356	C₇×#117	C₂³	1	3	yes	—
357	C₇×#117	C₂³	1	3	yes	—
358	C₇×#117	C₂³	1	3	yes	—
359	C₇×#117	C₂³	1	3	yes	—
360	C₇×#117	C₂³	1	3	yes	—
361	C₇×#117	C₂³	1	3	yes	—
362	C₇×#117	C₂³	1	3	yes	—
363	C₇×#117	C₂³	1	3	yes	—
364	C₇×#117	C₂³	1	3	yes	—
365	C₇×#117	C₂³	1	6	yes	—
366	C₇×#117	C₂³	1	3	yes	—
367	C₇×#117	C₂³	1	6	yes	—
368	C₇×#117	C₂³	1	6	yes	—
369	C₇×#117	C₂³	1	3	yes	—
370	C₇×#117	C₂³	1	6	yes	—
371	C₇×#117	C₂³	1	12	yes	—
372	C₇×#117	C₂³	1	6	yes	—
373	C₇×#117	C₂³	1	12	yes	—
374	C₇×#117	C₂³	1	12	yes	—
375	C₇×#117	C₂³	1	12	yes	—
376	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
377	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
378	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
379	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
380	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
381	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
382	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
383	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
384	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
385	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
386	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
387	C₂×C₇×C₂²⋊C₄	C₂³	1	3	yes	—
388	C₂×C₇×C₂²⋊C₄	C₂³	1	3	yes	—
389	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
390	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
391	C₂×C₇×C₂²⋊C₄	C₂³	1	12	yes	—
392	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
393	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
394	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
395	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
396	C₂×C₄²×C₇	C₂³	1	3	yes	—
397	C₂×C₄²×C₇	C₂³	1	3	yes	—
398	C₂×C₄²×C₇	C₂³	1	6	yes	—
399	C₂×C₄²×C₇	C₂³	1	6	yes	—
400	C₂×C₄²×C₇	C₂³	1	6	yes	—
401	C₂×C₄²×C₇	C₂³	1	6	yes	—
402	#3524	C₂×C₇	1	2	yes	complemented
403	#3522	C₂×C₇	1	2	yes	complemented
404	#3521	C₂×C₇	1	6	yes	complemented
405	#3520	C₂×C₇	1	6	yes	complemented
406	#3518	C₂×C₇	1	2	yes	complemented
407	#3516	C₂×C₇	1	2	yes	complemented
408	#3514	C₂×C₇	1	6	yes	complemented
409	#3513	C₂×C₇	1	6	yes	complemented
410	#3511	C₂×C₇	1	3	yes	complemented
411	#3510	C₂×C₇	1	3	yes	complemented
412	#3503	C₂×C₇	1	1	yes	characteristic, complemented
413	#3500	C₂×C₇	1	1	yes	characteristic, complemented
414	#3495	C₂×C₇	1	3	yes	complemented
415	#3494	C₂×C₇	1	3	yes	complemented
416	#3489	C₂×C₇	1	1	yes	characteristic, complemented
417	#3488	C₂×C₇	1	1	yes	characteristic, complemented
418	#3461	C₂×C₇	1	3	yes	complemented
419	#3460	C₂×C₇	1	3	yes	complemented
420	#3455	C₂×C₇	1	3	yes	complemented
421	C₂×#542	C₂×C₇	1	3	yes	complemented
422	C₄×2₋¹⁺⁴	C₂×C₇	1	1	yes	characteristic, complemented
423	C₄×H(5,𝔽₂)	C₂×C₇	1	1	yes	characteristic, complemented
424	#3428	C₂×C₇	1	1	yes	characteristic, complemented
425	C₂⁴×C₇	C₂⁴	1	3	yes	—
426	C₂⁴×C₇	C₂⁴	1	6	yes	—
427	C₇×#41	—	2	4	no	—
428	C₇×#41	—	2	8	no	—
429	C₇×#41	—	2	12	no	—
430	C₇×#41	—	2	24	no	—
431	C₇×#41	—	2	12	no	—
432	C₇×#41	—	2	12	no	—
433	C₇×#41	—	2	12	no	—
434	C₇×#41	—	8	12	no	—
435	C₇×#41	#41	1	8	yes	complemented
436	C₂×C₇×Q₈	—	2	4	no	—
437	C₂×C₇×Q₈	—	2	8	no	—
438	C₂×C₇×Q₈	—	2	12	no	—
439	C₂×C₇×Q₈	—	8	6	no	—
440	C₂×C₇×Q₈	C₂⁴	1	3	yes	—
441	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
442	C₂×C₇×Q₈	C₂⁴	1	3	yes	—
443	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
444	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
445	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
446	C₂×C₇×Q₈	C₂⁴	1	12	yes	—
447	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
448	C₂×C₇×D₄	—	2	12	no	—
449	C₂×C₇×D₄	—	2	24	no	—
450	C₂×C₇×D₄	—	2	12	no	—
451	C₂×C₇×D₄	—	8	6	no	—
452	C₂×C₇×D₄	C₂⁴	1	6	yes	—
453	C₂×C₇×D₄	C₂⁴	1	6	yes	—
454	C₂×C₇×D₄	C₂⁴	1	6	yes	—
455	C₂×C₇×D₄	C₂⁴	1	3	yes	—
456	C₂×C₇×D₄	C₂⁴	1	6	yes	—
457	C₂×C₇×D₄	C₂⁴	1	3	yes	—
458	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
459	C₂×C₇×D₄	C₂⁴	1	2	yes	—
460	C₂×C₇×D₄	C₂⁴	1	6	yes	—
461	C₂×C₇×D₄	C₂⁴	1	6	yes	—
462	C₂×C₇×D₄	C₂⁴	1	6	yes	—
463	C₂×C₇×D₄	C₂⁴	1	6	yes	—
464	C₂×C₇×D₄	C₂⁴	1	6	yes	—
465	C₂×C₇×D₄	C₂⁴	1	12	yes	—
466	C₂×C₇×D₄	C₂⁴	1	3	yes	—
467	C₂²×C₄×C₇	—	2	12	no	—
468	C₂²×C₄×C₇	—	8	6	no	—
469	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
470	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
471	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
472	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
473	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
474	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
475	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
476	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
478	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
479	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
480	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
481	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
482	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
483	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
484	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
485	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
486	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
487	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
488	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
489	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
490	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
491	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
492	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
493	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
494	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
495	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
496	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
497	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
498	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
499	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
500	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
501	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
502	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
503	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
504	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
505	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
506	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
507	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
508	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
509	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
510	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
511	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
512	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
513	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
514	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
515	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
516	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
517	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
518	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
519	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
520	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
521	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
522	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
523	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
524	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
525	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
526	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
527	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
528	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
529	C₇×C₂²⋊C₄	C₂⁴	1	3	yes	—
530	C₇×C₂²⋊C₄	C₂⁴	1	3	yes	—
531	C₇×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
532	C₇×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
533	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
534	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
535	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
536	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
537	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
538	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
539	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
540	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
541	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
542	C₇×C₂²⋊C₄	C₂⁴	1	3	yes	—
543	C₇×C₂²⋊C₄	C₂⁴	1	3	yes	—
544	C₇×C₂²⋊C₄	C₂⁴	1	3	yes	—
545	C₇×C₂²⋊C₄	C₂⁴	1	3	yes	—
546	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
547	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
548	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
549	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
550	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
551	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
552	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
553	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
554	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
555	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
556	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
557	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
558	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
559	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
560	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
561	C₄²×C₇	C₂⁴	1	1	yes	characteristic
562	C₄²×C₇	C₂⁴	1	3	yes	—
563	C₄²×C₇	C₂⁴	1	3	yes	—
564	C₄²×C₇	C₂⁴	1	3	yes	—
565	C₄²×C₇	C₂⁴	1	1	yes	characteristic
566	C₄²×C₇	C₂⁴	1	3	yes	—
567	C₄²×C₇	C₂⁴	1	2	yes	—
568	C₄²×C₇	C₂⁴	1	6	yes	—
569	C₄²×C₇	C₂⁴	1	6	yes	—
570	C₄²×C₇	C₂⁴	1	6	yes	—
571	C₄²×C₇	C₂⁴	1	6	yes	—
572	C₄²×C₇	C₂⁴	1	12	yes	—
573	C₄²×C₇	C₂⁴	1	6	yes	—
574	C₄²×C₇	C₂⁴	1	6	yes	—
575	C₄²×C₇	C₂⁴	1	3	yes	—
576	C₄²×C₇	C₂⁴	1	3	yes	—
577	C₄²×C₇	C₂⁴	1	6	yes	—
578	C₂×2₋¹⁺⁴	C₂²×C₇	1	1	yes	characteristic
579	C₂×H(5,𝔽₂)	C₂²×C₇	1	1	yes	characteristic
580	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
581	#559	C₂²×C₇	1	6	yes	complemented
582	#559	C₂²×C₇	1	6	yes	complemented
583	Q₈²	C₂²×C₇	1	2	yes	complemented
584	#557	C₂²×C₇	1	2	yes	complemented
585	#556	C₂²×C₇	1	6	yes	complemented
586	#556	C₂²×C₇	1	6	yes	complemented
587	#556	C₂²×C₇	1	6	yes	complemented
588	#556	C₂²×C₇	1	6	yes	complemented
589	#555	C₂²×C₇	1	6	yes	complemented
590	#555	C₂²×C₇	1	6	yes	complemented
591	#554	C₂²×C₇	1	6	yes	complemented
592	#554	C₂²×C₇	1	6	yes	complemented
593	#554	C₂²×C₇	1	6	yes	complemented
594	#553	C₂²×C₇	1	6	yes	complemented
595	#553	C₂²×C₇	1	6	yes	complemented
596	#553	C₂²×C₇	1	12	yes	complemented
597	#552	C₂²×C₇	1	6	yes	complemented
598	#552	C₂²×C₇	1	12	yes	complemented
599	#552	C₂²×C₇	1	6	yes	complemented
600	#551	C₂²×C₇	1	12	yes	complemented
601	#551	C₂²×C₇	1	12	yes	complemented
602	#551	C₂²×C₇	1	12	yes	complemented
603	#551	C₂²×C₇	1	12	yes	complemented
604	#550	C₂²×C₇	1	2	yes	—
605	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
606	D₄×Q₈	C₂²×C₇	1	6	yes	complemented
607	#548	C₂²×C₇	1	2	yes	—
608	#548	C₂²×C₇	1	2	yes	complemented
609	#548	C₂²×C₇	1	2	yes	complemented
610	#548	C₂²×C₇	1	2	yes	complemented
611	#548	C₂²×C₇	1	12	yes	complemented
612	#547	C₂²×C₇	1	6	yes	complemented
613	#547	C₂²×C₇	1	6	yes	complemented
614	#547	C₂²×C₇	1	6	yes	complemented
615	#546	C₂²×C₇	1	6	yes	—
616	#546	C₂²×C₇	1	6	yes	complemented
617	#546	C₂²×C₇	1	12	yes	complemented
618	#546	C₂²×C₇	1	6	yes	complemented
619	#546	C₂²×C₇	1	6	yes	complemented
620	D₄²	C₂²×C₇	1	6	yes	—
621	#544	C₂²×C₇	1	3	yes	complemented
622	#544	C₂²×C₇	1	3	yes	complemented
623	#542	C₂²×C₇	1	3	yes	complemented
624	#542	C₂²×C₇	1	6	yes	complemented
625	#542	C₂²×C₇	1	6	yes	complemented
626	#542	C₂²×C₇	1	6	yes	complemented
627	#542	C₂²×C₇	1	6	yes	complemented
628	#542	C₂²×C₇	1	6	yes	complemented
629	#542	C₂²×C₇	1	6	yes	complemented
630	#542	C₂²×C₇	1	6	yes	complemented
631	#542	C₂²×C₇	1	1	yes	characteristic, complemented
632	#542	C₂²×C₇	1	3	yes	complemented
633	#542	C₂²×C₇	1	3	yes	complemented
634	#542	C₂²×C₇	1	6	yes	complemented
635	#542	C₂²×C₇	1	6	yes	complemented
636	#541	C₂²×C₇	1	3	yes	complemented
637	#541	C₂²×C₇	1	3	yes	complemented
638	#541	C₂²×C₇	1	6	yes	complemented
639	#540	C₂²×C₇	1	3	yes	complemented
640	#540	C₂²×C₇	1	3	yes	complemented
641	#540	C₂²×C₇	1	6	yes	complemented
642	#539	C₂²×C₇	1	6	yes	complemented
643	#539	C₂²×C₇	1	6	yes	complemented
644	#539	C₂²×C₇	1	12	yes	complemented
645	#538	C₂²×C₇	1	6	yes	complemented
646	#538	C₂²×C₇	1	6	yes	complemented
647	#538	C₂²×C₇	1	12	yes	complemented
648	#537	C₂²×C₇	1	3	yes	—
649	#537	C₂²×C₇	1	3	yes	complemented
650	#536	C₂²×C₇	1	3	yes	complemented
651	#536	C₂²×C₇	1	3	yes	complemented
652	#535	C₂²×C₇	1	3	yes	—
653	#535	C₂²×C₇	1	3	yes	complemented
654	#533	C₂²×C₇	1	3	yes	complemented
655	#533	C₂²×C₇	1	6	yes	complemented
656	#533	C₂²×C₇	1	6	yes	complemented
657	#532	C₂²×C₇	1	3	yes	complemented
658	#532	C₂²×C₇	1	6	yes	complemented
659	#532	C₂²×C₇	1	6	yes	complemented
660	C₂×C₄⋊Q₈	C₂²×C₇	1	3	yes	complemented
661	#529	C₂²×C₇	1	6	yes	complemented
662	#529	C₂²×C₇	1	6	yes	complemented
663	#529	C₂²×C₇	1	6	yes	complemented
664	#529	C₂²×C₇	1	6	yes	complemented
665	#529	C₂²×C₇	1	6	yes	complemented
666	#529	C₂²×C₇	1	6	yes	complemented
667	#529	C₂²×C₇	1	6	yes	complemented
668	#529	C₂²×C₇	1	6	yes	complemented
669	#529	C₂²×C₇	1	12	yes	complemented
670	C₂×#126	C₂²×C₇	1	6	yes	complemented
671	C₂×#124	C₂²×C₇	1	3	yes	complemented
672	C₂×#124	C₂²×C₇	1	6	yes	complemented
673	#525	C₂²×C₇	1	3	yes	—
674	#525	C₂²×C₇	1	3	yes	complemented
675	#525	C₂²×C₇	1	12	yes	complemented
676	C₂×#123	C₂²×C₇	1	6	yes	complemented
677	C₂×C₂²⋊Q₈	C₂²×C₇	1	3	yes	complemented
678	C₂×C₂²⋊Q₈	C₂²×C₇	1	6	yes	complemented
679	C₂×#121	C₂²×C₇	1	3	yes	—
680	#520	C₂²×C₇	1	1	yes	characteristic
681	#520	C₂²×C₇	1	1	yes	characteristic
682	#520	C₂²×C₇	1	3	yes	complemented
683	#520	C₂²×C₇	1	3	yes	complemented
684	#520	C₂²×C₇	1	1	yes	characteristic, complemented
685	#520	C₂²×C₇	1	1	yes	characteristic, complemented
686	#520	C₂²×C₇	1	3	yes	complemented
687	#520	C₂²×C₇	1	2	yes	complemented
688	#520	C₂²×C₇	1	3	yes	complemented
689	#520	C₂²×C₇	1	6	yes	complemented
690	#519	C₂²×C₇	1	1	yes	characteristic, complemented
691	#519	C₂²×C₇	1	1	yes	characteristic, complemented
692	#519	C₂²×C₇	1	3	yes	complemented
693	#519	C₂²×C₇	1	2	yes	complemented
694	#518	C₂²×C₇	1	3	yes	complemented
695	#518	C₂²×C₇	1	3	yes	complemented
696	#518	C₂²×C₇	1	3	yes	complemented
697	#518	C₂²×C₇	1	6	yes	complemented
698	C₄×#41	C₂²×C₇	1	1	yes	characteristic
699	C₄×#41	C₂²×C₇	1	1	yes	characteristic
700	C₄×#41	C₂²×C₇	1	3	yes	complemented
701	C₄×#41	C₂²×C₇	1	3	yes	complemented
702	C₄×#41	C₂²×C₇	1	3	yes	complemented
703	C₄×#41	C₂²×C₇	1	2	yes	complemented
704	C₄×#41	C₂²×C₇	1	3	yes	complemented
705	C₄×#41	C₂²×C₇	1	6	yes	complemented
706	C₂×C₄×Q₈	C₂²×C₇	1	3	yes	complemented
707	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
708	C₂×C₄×D₄	C₂²×C₇	1	3	yes	complemented
709	C₂×C₄×D₄	C₂²×C₇	1	6	yes	complemented
710	C₂×#117	C₂²×C₇	1	3	yes	complemented
711	C₂×#117	C₂²×C₇	1	3	yes	complemented
712	C₂³×C₇	—	2	6	no	—
713	C₂³×C₇	—	2	12	no	—
714	C₂³×C₇	—	4	6	no	—
715	C₂³×C₇	—	4	3	no	—
716	C₂³×C₇	—	4	3	no	—
717	C₂³×C₇	—	4	6	no	—
718	C₂³×C₇	C₂⁵	1	1	yes	characteristic
719	C₂³×C₇	C₂⁵	1	6	yes	—
720	C₂³×C₇	C₂⁵	1	3	yes	—
721	C₂³×C₇	C₂⁵	1	2	yes	—
722	C₂³×C₇	C₂⁵	1	3	yes	—
723	C₇×Q₈	—	2	12	no	—
724	C₇×Q₈	—	2	6	no	—
725	C₇×Q₈	—	2	6	no	—
726	C₇×Q₈	—	2	2	no	—
727	C₇×Q₈	—	4	6	no	—
728	C₇×Q₈	—	4	12	no	—
729	C₇×Q₈	—	4	2	no	—
730	C₇×Q₈	C₂×#41	1	4	yes	—
731	C₇×D₄	—	2	12	no	—
732	C₇×D₄	—	2	12	no	—
733	C₇×D₄	—	2	12	no	—
734	C₇×D₄	—	2	12	no	—
735	C₇×D₄	—	2	6	no	—
736	C₇×D₄	—	2	6	no	—
737	C₇×D₄	—	2	2	no	—
738	C₇×D₄	—	4	6	no	—
739	C₇×D₄	—	4	12	no	—
740	C₇×D₄	—	4	6	no	—
741	C₇×D₄	—	4	2	no	—
742	C₇×D₄	—	4	6	no	—
743	C₇×D₄	—	4	6	no	—
744	C₇×D₄	—	4	6	no	—
745	C₇×D₄	C₂×#41	1	12	yes	—
746	C₂×C₄×C₇	—	2	6	no	—
747	C₂×C₄×C₇	—	2	12	no	—
748	C₂×C₄×C₇	—	2	2	no	—
749	C₂×C₄×C₇	—	2	6	no	—
750	C₂×C₄×C₇	—	2	6	no	—
751	C₂×C₄×C₇	—	2	6	no	—
752	C₂×C₄×C₇	—	2	12	no	—
753	C₂×C₄×C₇	—	2	12	no	—
754	C₂×C₄×C₇	—	4	3	no	—
755	C₂×C₄×C₇	—	4	6	no	—
756	C₂×C₄×C₇	—	4	6	no	—
757	C₂×C₄×C₇	—	4	12	no	—
758	C₂×C₄×C₇	—	4	3	no	—
759	C₂×C₄×C₇	—	4	6	no	—
760	C₂×C₄×C₇	—	4	6	no	—
761	C₂×C₄×C₇	—	4	2	no	—
762	C₂×C₄×C₇	—	4	3	no	—
763	C₂×C₄×C₇	—	4	6	no	—
764	C₂×C₄×C₇	—	4	3	no	—
765	C₂×C₄×C₇	—	4	6	no	—
766	C₂×C₄×C₇	—	4	6	no	—
767	C₂×C₄×C₇	C₂×#41	1	12	yes	—
768	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
769	C₂×C₄×C₇	C₂⁵	1	3	yes	—
770	C₂×C₄×C₇	C₂⁵	1	2	yes	—
771	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
772	C₂×C₄×C₇	C₂⁵	1	3	yes	—
773	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
774	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
775	C₂×C₄×C₇	C₂⁵	1	2	yes	—
776	C₂×C₄×C₇	C₂⁵	1	6	yes	—
777	C₂×C₄×C₇	C₂⁵	1	3	yes	—
778	C₂×C₄×C₇	C₂⁵	1	3	yes	—
779	C₂×C₄×C₇	C₂⁵	1	3	yes	—
780	C₂×C₄×C₇	C₂⁵	1	2	yes	—
781	C₂×C₄×C₇	C₂⁵	1	6	yes	—
782	C₂×C₄×C₇	C₂⁵	1	6	yes	—
783	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
784	C₂×C₄×C₇	C₂⁵	1	3	yes	—
785	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
786	2₋¹⁺⁴	—	2	8	no	—
787	H(5,𝔽₂)	—	2	8	no	—
788	C₂×#41	—	2	8	no	—
789	C₂×#41	C₂³×C₇	1	3	yes	—
790	C₂×#41	C₂³×C₇	1	3	yes	—
791	C₂×#41	C₂³×C₇	1	3	yes	—
792	C₂×#41	C₂³×C₇	1	6	yes	—
793	C₂×#41	C₂³×C₇	1	2	yes	—
794	C₂×#41	C₂³×C₇	1	3	yes	—
795	C₂×#41	C₂³×C₇	1	1	yes	characteristic
796	C₂×#41	C₂³×C₇	1	12	yes	—
797	C₂×#41	C₂³×C₇	1	1	yes	characteristic
798	C₂²×Q₈	C₂³×C₇	1	3	yes	—
799	C₂²×Q₈	C₂³×C₇	1	2	yes	—
800	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
801	C₂²×Q₈	C₂³×C₇	1	6	yes	—
802	C₂²×D₄	C₂³×C₇	1	3	yes	—
803	C₂²×D₄	C₂³×C₇	1	6	yes	—
804	C₂²×D₄	C₂³×C₇	1	3	yes	—
805	C₂²×D₄	C₂³×C₇	1	6	yes	—
806	C₂³×C₄	C₂³×C₇	1	3	yes	—
807	C₂³×C₄	C₂³×C₇	1	6	yes	—
808	C₄⋊Q₈	C₂³×C₇	1	3	yes	—
809	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
810	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
811	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
812	C₄⋊Q₈	C₂³×C₇	1	3	yes	—
813	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
814	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
815	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
816	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
817	#127	C₂³×C₇	1	3	yes	—
818	#127	C₂³×C₇	1	6	yes	—
819	#126	C₂³×C₇	1	6	yes	—
820	#126	C₂³×C₇	1	12	yes	—
821	#126	C₂³×C₇	1	12	yes	—
822	#126	C₂³×C₇	1	12	yes	—
823	#126	C₂³×C₇	1	6	yes	—
824	#126	C₂³×C₇	1	6	yes	—
825	#126	C₂³×C₇	1	2	yes	—
826	#126	C₂³×C₇	1	6	yes	—
827	#126	C₂³×C₇	1	6	yes	—
828	#126	C₂³×C₇	1	12	yes	—
829	#126	C₂³×C₇	1	12	yes	—
830	#126	C₂³×C₇	1	6	yes	—
831	#126	C₂³×C₇	1	6	yes	—
832	#125	C₂³×C₇	1	6	yes	—
833	#125	C₂³×C₇	1	3	yes	—
834	#125	C₂³×C₇	1	3	yes	—
835	#125	C₂³×C₇	1	6	yes	—
836	#125	C₂³×C₇	1	6	yes	—
837	#125	C₂³×C₇	1	6	yes	—
838	#125	C₂³×C₇	1	6	yes	—
839	#125	C₂³×C₇	1	6	yes	—
840	#125	C₂³×C₇	1	12	yes	—
841	#124	C₂³×C₇	1	6	yes	—
842	#124	C₂³×C₇	1	3	yes	—
843	#124	C₂³×C₇	1	6	yes	—
844	#124	C₂³×C₇	1	12	yes	—
845	#124	C₂³×C₇	1	6	yes	—
846	#124	C₂³×C₇	1	6	yes	—
847	#124	C₂³×C₇	1	12	yes	—
848	#124	C₂³×C₇	1	12	yes	—
849	#124	C₂³×C₇	1	2	yes	—
850	#124	C₂³×C₇	1	6	yes	—
851	#124	C₂³×C₇	1	6	yes	—
852	#124	C₂³×C₇	1	6	yes	—
853	#124	C₂³×C₇	1	6	yes	—
854	#124	C₂³×C₇	1	1	yes	characteristic
855	#124	C₂³×C₇	1	12	yes	—
856	#123	C₂³×C₇	1	6	yes	—
857	#123	C₂³×C₇	1	12	yes	—
858	#123	C₂³×C₇	1	12	yes	—
859	#123	C₂³×C₇	1	12	yes	—
860	#123	C₂³×C₇	1	6	yes	—
861	#123	C₂³×C₇	1	6	yes	—
862	#123	C₂³×C₇	1	6	yes	—
863	#123	C₂³×C₇	1	2	yes	—
864	#123	C₂³×C₇	1	6	yes	—
865	#123	C₂³×C₇	1	12	yes	—
866	#123	C₂³×C₇	1	12	yes	—
867	#123	C₂³×C₇	1	12	yes	—
868	#123	C₂³×C₇	1	6	yes	—
869	#123	C₂³×C₇	1	6	yes	—
870	#123	C₂³×C₇	1	6	yes	—
871	#123	C₂³×C₇	1	6	yes	—
872	#123	C₂³×C₇	1	12	yes	—
873	C₂²⋊Q₈	C₂³×C₇	1	3	yes	—
874	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
875	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
876	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
877	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
878	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
879	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
880	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
881	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
882	C₂²⋊Q₈	C₂³×C₇	1	3	yes	—
883	C₂²⋊Q₈	C₂³×C₇	1	3	yes	—
884	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
885	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
886	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
887	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
888	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
889	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
890	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
891	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
892	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
893	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
894	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
895	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
896	#121	C₂³×C₇	1	3	yes	—
897	#121	C₂³×C₇	1	6	yes	—
898	#121	C₂³×C₇	1	6	yes	—
899	#121	C₂³×C₇	1	6	yes	—
900	#121	C₂³×C₇	1	3	yes	—
901	#121	C₂³×C₇	1	1	yes	characteristic
902	#121	C₂³×C₇	1	6	yes	—
903	#121	C₂³×C₇	1	3	yes	—
904	#121	C₂³×C₇	1	12	yes	—
905	#121	C₂³×C₇	1	6	yes	—
906	#121	C₂³×C₇	1	6	yes	—
907	#121	C₂³×C₇	1	12	yes	—
908	#121	C₂³×C₇	1	6	yes	—
909	#121	C₂³×C₇	1	6	yes	—
910	#121	C₂³×C₇	1	6	yes	—
911	#121	C₂³×C₇	1	6	yes	—
912	#121	C₂³×C₇	1	6	yes	—
913	#121	C₂³×C₇	1	6	yes	—
914	#121	C₂³×C₇	1	6	yes	—
915	#121	C₂³×C₇	1	12	yes	—
916	#120	C₂³×C₇	1	6	yes	—
917	#120	C₂³×C₇	1	12	yes	—
918	#120	C₂³×C₇	1	12	yes	—
919	#120	C₂³×C₇	1	6	yes	—
920	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
921	C₄×Q₈	C₂³×C₇	1	3	yes	—
922	C₄×Q₈	C₂³×C₇	1	6	yes	—
923	C₄×Q₈	C₂³×C₇	1	2	yes	—
924	C₄×Q₈	C₂³×C₇	1	6	yes	—
925	C₄×Q₈	C₂³×C₇	1	6	yes	—
926	C₄×Q₈	C₂³×C₇	1	6	yes	—
927	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
928	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
929	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
930	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
931	C₄×Q₈	C₂³×C₇	1	3	yes	—
932	C₄×Q₈	C₂³×C₇	1	6	yes	—
933	C₄×Q₈	C₂³×C₇	1	3	yes	—
934	C₄×Q₈	C₂³×C₇	1	3	yes	—
935	C₄×Q₈	C₂³×C₇	1	3	yes	—
936	C₄×Q₈	C₂³×C₇	1	3	yes	—
937	C₄×Q₈	C₂³×C₇	1	2	yes	—
938	C₄×Q₈	C₂³×C₇	1	3	yes	—
939	C₄×Q₈	C₂³×C₇	1	6	yes	—
940	C₄×Q₈	C₂³×C₇	1	6	yes	—
941	C₄×Q₈	C₂³×C₇	1	12	yes	—
942	C₄×D₄	C₂³×C₇	1	3	yes	—
943	C₄×D₄	C₂³×C₇	1	6	yes	—
944	C₄×D₄	C₂³×C₇	1	3	yes	—
945	C₄×D₄	C₂³×C₇	1	6	yes	—
946	C₄×D₄	C₂³×C₇	1	6	yes	—
947	C₄×D₄	C₂³×C₇	1	6	yes	—
948	C₄×D₄	C₂³×C₇	1	6	yes	—
949	C₄×D₄	C₂³×C₇	1	6	yes	—
950	C₄×D₄	C₂³×C₇	1	12	yes	—
951	C₄×D₄	C₂³×C₇	1	3	yes	—
952	C₄×D₄	C₂³×C₇	1	3	yes	—
953	C₄×D₄	C₂³×C₇	1	3	yes	—
954	C₄×D₄	C₂³×C₇	1	6	yes	—
955	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
956	C₄×D₄	C₂³×C₇	1	6	yes	—
957	C₄×D₄	C₂³×C₇	1	3	yes	—
958	C₄×D₄	C₂³×C₇	1	6	yes	—
959	C₄×D₄	C₂³×C₇	1	6	yes	—
960	C₄×D₄	C₂³×C₇	1	6	yes	—
961	C₄×D₄	C₂³×C₇	1	3	yes	—
962	C₄×D₄	C₂³×C₇	1	3	yes	—
963	C₄×D₄	C₂³×C₇	1	3	yes	—
964	C₄×D₄	C₂³×C₇	1	6	yes	—
965	C₄×D₄	C₂³×C₇	1	6	yes	—
966	C₄×D₄	C₂³×C₇	1	3	yes	—
967	C₄×D₄	C₂³×C₇	1	6	yes	—
968	C₄×D₄	C₂³×C₇	1	6	yes	—
969	C₄×D₄	C₂³×C₇	1	3	yes	—
970	C₄×D₄	C₂³×C₇	1	12	yes	—
971	C₄×D₄	C₂³×C₇	1	6	yes	—
972	C₄×D₄	C₂³×C₇	1	6	yes	—
973	C₄×D₄	C₂³×C₇	1	6	yes	—
974	C₄×D₄	C₂³×C₇	1	6	yes	—
975	C₄×D₄	C₂³×C₇	1	12	yes	—
976	C₄×D₄	C₂³×C₇	1	12	yes	—
977	C₄×D₄	C₂³×C₇	1	12	yes	—
978	C₄×D₄	C₂³×C₇	1	6	yes	—
979	C₄×D₄	C₂³×C₇	1	6	yes	—
980	#117	C₂³×C₇	1	3	yes	—
981	#117	C₂³×C₇	1	1	yes	characteristic
982	#117	C₂³×C₇	1	3	yes	—
983	#117	C₂³×C₇	1	3	yes	—
984	#117	C₂³×C₇	1	3	yes	—
985	#117	C₂³×C₇	1	3	yes	—
986	#117	C₂³×C₇	1	3	yes	—
987	#117	C₂³×C₇	1	3	yes	—
988	#117	C₂³×C₇	1	3	yes	—
989	#117	C₂³×C₇	1	3	yes	—
990	#117	C₂³×C₇	1	3	yes	—
991	#117	C₂³×C₇	1	3	yes	—
992	#117	C₂³×C₇	1	6	yes	—
993	#117	C₂³×C₇	1	3	yes	—
994	#117	C₂³×C₇	1	6	yes	—
995	#117	C₂³×C₇	1	6	yes	—
996	#117	C₂³×C₇	1	3	yes	—
997	#117	C₂³×C₇	1	6	yes	—
998	#117	C₂³×C₇	1	12	yes	—
999	#117	C₂³×C₇	1	6	yes	—
1000	#117	C₂³×C₇	1	12	yes	—
1001	#117	C₂³×C₇	1	12	yes	—
1002	#117	C₂³×C₇	1	12	yes	—
1003	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1004	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1005	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1006	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1007	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1008	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1009	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1010	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1011	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1012	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1013	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1014	C₂×C₂²⋊C₄	C₂³×C₇	1	3	yes	—
1015	C₂×C₂²⋊C₄	C₂³×C₇	1	3	yes	—
1016	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1017	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1018	C₂×C₂²⋊C₄	C₂³×C₇	1	12	yes	—
1019	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1020	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1021	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1022	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1023	C₂×C₄²	C₂³×C₇	1	3	yes	—
1024	C₂×C₄²	C₂³×C₇	1	3	yes	—
1025	C₂×C₄²	C₂³×C₇	1	6	yes	—
1026	C₂×C₄²	C₂³×C₇	1	6	yes	—
1027	C₂×C₄²	C₂³×C₇	1	6	yes	—
1028	C₂×C₄²	C₂³×C₇	1	6	yes	—
1029	C₂²×C₇	—	2	3	no	—
1030	C₂²×C₇	—	2	3	no	—
1031	C₂²×C₇	—	2	1	no	—
1032	C₂²×C₇	—	2	2	no	—
1033	C₂²×C₇	—	2	3	no	—
1034	C₂²×C₇	—	2	6	no	—
1035	C₂²×C₇	—	2	2	no	—
1036	C₂²×C₇	—	2	6	no	—
1037	C₂²×C₇	—	2	3	no	—
1038	C₂²×C₇	—	2	1	no	—
1039	C₂²×C₇	—	2	3	no	—
1040	C₂²×C₇	—	2	2	no	—
1041	C₂²×C₇	—	2	6	no	—
1042	C₂²×C₇	—	2	1	no	—
1043	C₂²×C₇	—	8	6	no	—
1044	C₂²×C₇	—	8	12	no	—
1045	C₂²×C₇	C₂²×#41	1	6	yes	—
1046	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1047	C₄×C₇	—	2	1	no	—
1048	C₄×C₇	—	2	2	no	—
1049	C₄×C₇	—	2	3	no	—
1050	C₄×C₇	—	2	6	no	—
1051	C₄×C₇	—	2	1	no	—
1052	C₄×C₇	—	2	3	no	—
1053	C₄×C₇	—	2	6	no	—
1054	C₄×C₇	—	2	6	no	—
1055	C₄×C₇	—	2	3	no	—
1056	C₄×C₇	—	2	1	no	—
1057	C₄×C₇	—	2	1	no	—
1058	C₄×C₇	—	2	3	no	—
1059	C₄×C₇	—	2	3	no	—
1060	C₄×C₇	—	2	2	no	—
1061	C₄×C₇	—	2	1	no	—
1062	C₄×C₇	—	2	2	no	—
1063	C₄×C₇	C₂²×#41	1	6	yes	—
1064	C₄×C₇	C₂²×#41	1	2	yes	—
1065	C₂⁴	C₂⁴×C₇	1	3	yes	—
1066	C₂⁴	C₂⁴×C₇	1	6	yes	—
1067	#41	—	2	4	no	—
1068	#41	—	2	8	no	—
1069	#41	—	2	12	no	—
1070	#41	—	2	24	no	—
1071	#41	—	2	12	no	—
1072	#41	—	2	12	no	—
1073	#41	—	2	12	no	—
1074	#41	—	8	12	no	—
1075	#41	C₇×#41	1	8	yes	complemented
1076	C₂×Q₈	—	2	4	no	—
1077	C₂×Q₈	—	2	8	no	—
1078	C₂×Q₈	—	2	12	no	—
1079	C₂×Q₈	—	8	6	no	—
1080	C₂×Q₈	C₂⁴×C₇	1	3	yes	—
1081	C₂×Q₈	C₂⁴×C₇	1	6	yes	—
1082	C₂×Q₈	C₂⁴×C₇	1	3	yes	—
1083	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1084	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1085	C₂×Q₈	C₂⁴×C₇	1	6	yes	—
1086	C₂×Q₈	C₂⁴×C₇	1	12	yes	—
1087	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1088	C₂×D₄	—	2	12	no	—
1089	C₂×D₄	—	2	24	no	—
1090	C₂×D₄	—	2	12	no	—
1091	C₂×D₄	—	8	6	no	—
1092	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1093	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1094	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1095	C₂×D₄	C₂⁴×C₇	1	3	yes	—
1096	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1097	C₂×D₄	C₂⁴×C₇	1	3	yes	—
1098	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1099	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1100	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1101	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1102	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1103	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1104	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1105	C₂×D₄	C₂⁴×C₇	1	12	yes	—
1106	C₂×D₄	C₂⁴×C₇	1	3	yes	—
1107	C₂²×C₄	—	2	12	no	—
1108	C₂²×C₄	—	8	6	no	—
1109	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1110	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1111	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1112	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1113	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1114	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1115	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1116	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1118	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1119	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1120	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1121	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1122	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1123	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1124	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1125	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1126	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1127	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1128	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1129	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
1130	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1131	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1132	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1133	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1134	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1135	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1136	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1137	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1138	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1139	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1140	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1141	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1142	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
1143	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1144	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1145	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1146	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1147	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1148	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1149	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1150	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1151	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1152	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
1153	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
1154	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1155	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1156	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1157	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1158	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1159	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1160	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1161	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1162	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1163	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1164	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1165	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1166	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1167	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1168	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1169	C₂²⋊C₄	C₂⁴×C₇	1	3	yes	—
1170	C₂²⋊C₄	C₂⁴×C₇	1	3	yes	—
1171	C₂²⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1172	C₂²⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1173	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1174	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1175	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1176	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1177	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1178	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1179	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1180	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1181	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1182	C₂²⋊C₄	C₂⁴×C₇	1	3	yes	—
1183	C₂²⋊C₄	C₂⁴×C₇	1	3	yes	—
1184	C₂²⋊C₄	C₂⁴×C₇	1	3	yes	—
1185	C₂²⋊C₄	C₂⁴×C₇	1	3	yes	—
1186	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1187	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1188	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1189	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1190	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1191	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1192	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1193	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1194	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1195	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1196	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1197	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1198	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1199	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1200	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1201	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1202	C₄²	C₂⁴×C₇	1	3	yes	—
1203	C₄²	C₂⁴×C₇	1	3	yes	—
1204	C₄²	C₂⁴×C₇	1	3	yes	—
1205	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1206	C₄²	C₂⁴×C₇	1	3	yes	—
1207	C₄²	C₂⁴×C₇	1	2	yes	—
1208	C₄²	C₂⁴×C₇	1	6	yes	—
1209	C₄²	C₂⁴×C₇	1	6	yes	—
1210	C₄²	C₂⁴×C₇	1	6	yes	—
1211	C₄²	C₂⁴×C₇	1	6	yes	—
1212	C₄²	C₂⁴×C₇	1	12	yes	—
1213	C₄²	C₂⁴×C₇	1	6	yes	—
1214	C₄²	C₂⁴×C₇	1	6	yes	—
1215	C₄²	C₂⁴×C₇	1	3	yes	—
1216	C₄²	C₂⁴×C₇	1	3	yes	—
1217	C₄²	C₂⁴×C₇	1	6	yes	—
1218	C₂×C₇	—	2	6	no	—
1219	C₂×C₇	—	4	2	no	—
1220	C₂×C₇	—	4	3	no	—
1221	C₂×C₇	—	4	6	no	—
1222	C₂×C₇	—	4	1	no	—
1223	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1224	C₂×C₇	H(7,𝔽₂)	1	1	yes	characteristic
1225	C₂×C₇	2₋¹⁺⁶	1	1	yes	characteristic
1226	C₂³	—	2	6	no	—
1227	C₂³	—	2	12	no	—
1228	C₂³	—	4	6	no	—
1229	C₂³	—	4	3	no	—
1230	C₂³	—	4	3	no	—
1231	C₂³	—	4	6	no	—
1232	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1233	C₂³	C₂⁵×C₇	1	6	yes	—
1234	C₂³	C₂⁵×C₇	1	3	yes	—
1235	C₂³	C₂⁵×C₇	1	2	yes	—
1236	C₂³	C₂⁵×C₇	1	3	yes	—
1237	Q₈	—	2	12	no	—
1238	Q₈	—	2	6	no	—
1239	Q₈	—	2	6	no	—
1240	Q₈	—	2	2	no	—
1241	Q₈	—	4	6	no	—
1242	Q₈	—	4	12	no	—
1243	Q₈	—	4	2	no	—
1244	Q₈	C₂×C₇×#41	1	4	yes	—
1245	D₄	—	2	12	no	—
1246	D₄	—	2	12	no	—
1247	D₄	—	2	12	no	—
1248	D₄	—	2	12	no	—
1249	D₄	—	2	6	no	—
1250	D₄	—	2	6	no	—
1251	D₄	—	2	2	no	—
1252	D₄	—	4	6	no	—
1253	D₄	—	4	12	no	—
1254	D₄	—	4	6	no	—
1255	D₄	—	4	2	no	—
1256	D₄	—	4	6	no	—
1257	D₄	—	4	6	no	—
1258	D₄	—	4	6	no	—
1259	D₄	C₂×C₇×#41	1	12	yes	—
1260	C₂×C₄	—	2	6	no	—
1261	C₂×C₄	—	2	12	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	6	no	—
1264	C₂×C₄	—	2	6	no	—
1265	C₂×C₄	—	2	6	no	—
1266	C₂×C₄	—	2	12	no	—
1267	C₂×C₄	—	2	12	no	—
1268	C₂×C₄	—	4	3	no	—
1269	C₂×C₄	—	4	6	no	—
1270	C₂×C₄	—	4	6	no	—
1271	C₂×C₄	—	4	12	no	—
1272	C₂×C₄	—	4	3	no	—
1273	C₂×C₄	—	4	6	no	—
1274	C₂×C₄	—	4	6	no	—
1275	C₂×C₄	—	4	2	no	—
1276	C₂×C₄	—	4	3	no	—
1277	C₂×C₄	—	4	6	no	—
1278	C₂×C₄	—	4	3	no	—
1279	C₂×C₄	—	4	6	no	—
1280	C₂×C₄	—	4	6	no	—
1281	C₂×C₄	C₂×C₇×#41	1	12	yes	—
1282	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1283	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1284	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1285	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1286	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1287	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1288	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1289	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1290	C₂×C₄	C₂⁵×C₇	1	6	yes	—
1291	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1292	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1293	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1294	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1295	C₂×C₄	C₂⁵×C₇	1	6	yes	—
1296	C₂×C₄	C₂⁵×C₇	1	6	yes	—
1297	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1298	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1299	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1300	C₇	#62857	1	1	yes	characteristic, direct product factor, Sylow
1301	C₂²	—	2	3	no	—
1302	C₂²	—	2	3	no	—
1303	C₂²	—	2	1	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	3	no	—
1306	C₂²	—	2	6	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	6	no	—
1309	C₂²	—	2	3	no	—
1310	C₂²	—	2	1	no	—
1311	C₂²	—	2	3	no	—
1312	C₂²	—	2	2	no	—
1313	C₂²	—	2	6	no	—
1314	C₂²	—	2	1	no	—
1315	C₂²	—	8	6	no	—
1316	C₂²	—	8	12	no	—
1317	C₂²	C₂²×C₇×#41	1	6	yes	—
1318	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1319	C₄	—	2	1	no	—
1320	C₄	—	2	2	no	—
1321	C₄	—	2	3	no	—
1322	C₄	—	2	6	no	—
1323	C₄	—	2	1	no	—
1324	C₄	—	2	3	no	—
1325	C₄	—	2	6	no	—
1326	C₄	—	2	6	no	—
1327	C₄	—	2	3	no	—
1328	C₄	—	2	1	no	—
1329	C₄	—	2	1	no	—
1330	C₄	—	2	3	no	—
1331	C₄	—	2	3	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	1	no	—
1334	C₄	—	2	2	no	—
1335	C₄	C₂²×C₇×#41	1	6	yes	—
1336	C₄	C₂²×C₇×#41	1	2	yes	—
1337	C₂	—	2	6	no	—
1338	C₂	—	4	1	no	—
1339	C₂	—	4	6	no	—
1340	C₂	—	4	3	no	—
1341	C₂	—	4	2	no	—
1342	C₂	C₂³×C₇×#41	1	1	yes	characteristic
1343	C₂	C₇×H(7,𝔽₂)	1	1	yes	characteristic
1344	C₂	C₇×2₋¹⁺⁶	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×#3524	C₂	semidirect
2. C₇×#3522	C₂	semidirect
3. C₇×#3521	C₂	semidirect
4. C₇×#3520	C₂	semidirect
5. C₇×#3518	C₂	semidirect
6. C₇×#3516	C₂	semidirect
7. C₇×#3514	C₂	semidirect
8. C₇×#3513	C₂	semidirect
9. C₇×#3511	C₂	semidirect
10. C₇×#3510	C₂	semidirect
11. C₇×#3503	C₂	semidirect
12. C₇×#3500	C₂	semidirect
13. C₇×#3495	C₂	semidirect
14. C₇×#3494	C₂	semidirect
15. C₇×#3489	C₂	semidirect
16. C₇×#3488	C₂	semidirect
17. C₇×#3461	C₂	semidirect
18. C₇×#3460	C₂	semidirect
19. C₇×#3455	C₂	semidirect
20. C₂×C₇×#542	C₂	semidirect
21. C₄×C₇×2₋¹⁺⁴	C₂	semidirect
22. C₄×C₇×H(5,𝔽₂)	C₂	semidirect
23. C₇×#3428	C₂	semidirect
27. C₇×#559	C₂²	semidirect
28. C₇×#559	C₂²	semidirect
29. C₇×Q₈²	C₂²	semidirect
30. C₇×#557	C₂²	semidirect
31. C₇×#556	C₂²	semidirect
32. C₇×#556	C₂²	semidirect
33. C₇×#556	C₂²	semidirect
34. C₇×#556	C₂²	semidirect
35. C₇×#555	C₂²	semidirect
36. C₇×#555	C₂²	semidirect
37. C₇×#554	C₂²	semidirect
38. C₇×#554	C₂²	semidirect
39. C₇×#554	C₂²	semidirect
40. C₇×#553	C₂²	semidirect
41. C₇×#553	C₂²	semidirect
42. C₇×#553	C₂²	semidirect
43. C₇×#552	C₂²	semidirect
44. C₇×#552	C₂²	semidirect
45. C₇×#552	C₂²	semidirect
46. C₇×#551	C₂²	semidirect
47. C₇×#551	C₂²	semidirect
48. C₇×#551	C₂²	semidirect
49. C₇×#551	C₂²	semidirect
51. C₇×D₄×Q₈	C₂²	semidirect
52. C₇×D₄×Q₈	C₂²	semidirect
54. C₇×#548	C₂²	semidirect
55. C₇×#548	C₂²	semidirect
56. C₇×#548	C₂²	semidirect
57. C₇×#548	C₂²	semidirect
58. C₇×#547	C₂²	semidirect
59. C₇×#547	C₂²	semidirect
60. C₇×#547	C₂²	semidirect
62. C₇×#546	C₂²	semidirect
63. C₇×#546	C₂²	semidirect
64. C₇×#546	C₂²	semidirect
65. C₇×#546	C₂²	semidirect
67. C₇×#544	C₂²	semidirect
68. C₇×#544	C₂²	semidirect
69. C₇×#542	C₂²	semidirect
70. C₇×#542	C₂²	semidirect
71. C₇×#542	C₂²	semidirect
72. C₇×#542	C₂²	semidirect
73. C₇×#542	C₂²	semidirect
74. C₇×#542	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×#542	C₂²	semidirect
81. C₇×#542	C₂²	semidirect
82. C₇×#541	C₂²	semidirect
83. C₇×#541	C₂²	semidirect
84. C₇×#541	C₂²	semidirect
85. C₇×#540	C₂²	semidirect
86. C₇×#540	C₂²	semidirect
87. C₇×#540	C₂²	semidirect
88. C₇×#539	C₂²	semidirect
89. C₇×#539	C₂²	semidirect
90. C₇×#539	C₂²	semidirect
91. C₇×#538	C₂²	semidirect
92. C₇×#538	C₂²	semidirect
93. C₇×#538	C₂²	semidirect
95. C₇×#537	C₂²	semidirect
96. C₇×#536	C₂²	semidirect
97. C₇×#536	C₂²	semidirect
99. C₇×#535	C₂²	semidirect
100. C₇×#533	C₂²	semidirect
101. C₇×#533	C₂²	semidirect
102. C₇×#533	C₂²	semidirect
103. C₇×#532	C₂²	semidirect
104. C₇×#532	C₂²	semidirect
105. C₇×#532	C₂²	semidirect
106. C₂×C₇×C₄⋊Q₈	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. C₇×#529	C₂²	semidirect
115. C₇×#529	C₂²	semidirect
116. C₂×C₇×#126	C₂²	semidirect
117. C₂×C₇×#124	C₂²	semidirect
118. C₂×C₇×#124	C₂²	semidirect
120. C₇×#525	C₂²	semidirect
121. C₇×#525	C₂²	semidirect
122. C₂×C₇×#123	C₂²	semidirect
123. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
124. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
128. C₇×#520	C₂²	semidirect
129. C₇×#520	C₂²	semidirect
130. C₇×#520	C₂²	semidirect
131. C₇×#520	C₂²	semidirect
132. C₇×#520	C₂²	semidirect
133. C₇×#520	C₂²	semidirect
134. C₇×#520	C₂²	semidirect
135. C₇×#520	C₂²	semidirect
136. C₇×#519	C₂²	semidirect
137. C₇×#519	C₂²	semidirect
138. C₇×#519	C₂²	semidirect
139. C₇×#519	C₂²	semidirect
140. C₇×#518	C₂²	semidirect
141. C₇×#518	C₂²	semidirect
142. C₇×#518	C₂²	semidirect
143. C₇×#518	C₂²	semidirect
146. C₄×C₇×#41	C₂²	semidirect
147. C₄×C₇×#41	C₂²	semidirect
148. C₄×C₇×#41	C₂²	semidirect
149. C₄×C₇×#41	C₂²	semidirect
150. C₄×C₇×#41	C₂²	semidirect
151. C₄×C₇×#41	C₂²	semidirect
152. C₂×C₄×C₇×Q₈	C₂²	semidirect
153. C₂×C₄×C₇×Q₈	C₂²	semidirect
154. C₂×C₄×C₇×D₄	C₂²	semidirect
155. C₂×C₄×C₇×D₄	C₂²	semidirect
156. C₂×C₇×#117	C₂²	semidirect
157. C₂×C₇×#117	C₂²	semidirect
158. #62857	C₇	direct (N × H)
402. #3524	C₂×C₇	semidirect
403. #3522	C₂×C₇	semidirect
404. #3521	C₂×C₇	semidirect
405. #3520	C₂×C₇	semidirect
406. #3518	C₂×C₇	semidirect
407. #3516	C₂×C₇	semidirect
408. #3514	C₂×C₇	semidirect
409. #3513	C₂×C₇	semidirect
410. #3511	C₂×C₇	semidirect
411. #3510	C₂×C₇	semidirect
412. #3503	C₂×C₇	semidirect
413. #3500	C₂×C₇	semidirect
414. #3495	C₂×C₇	semidirect
415. #3494	C₂×C₇	semidirect
416. #3489	C₂×C₇	semidirect
417. #3488	C₂×C₇	semidirect
418. #3461	C₂×C₇	semidirect
419. #3460	C₂×C₇	semidirect
420. #3455	C₂×C₇	semidirect
421. C₂×#542	C₂×C₇	semidirect
422. C₄×2₋¹⁺⁴	C₂×C₇	semidirect
423. C₄×H(5,𝔽₂)	C₂×C₇	semidirect
424. #3428	C₂×C₇	semidirect
435. C₇×#41	#41	semidirect
581. #559	C₂²×C₇	semidirect
582. #559	C₂²×C₇	semidirect
583. Q₈²	C₂²×C₇	semidirect
584. #557	C₂²×C₇	semidirect
585. #556	C₂²×C₇	semidirect
586. #556	C₂²×C₇	semidirect
587. #556	C₂²×C₇	semidirect
588. #556	C₂²×C₇	semidirect
589. #555	C₂²×C₇	semidirect
590. #555	C₂²×C₇	semidirect
591. #554	C₂²×C₇	semidirect
592. #554	C₂²×C₇	semidirect
593. #554	C₂²×C₇	semidirect
594. #553	C₂²×C₇	semidirect
595. #553	C₂²×C₇	semidirect
596. #553	C₂²×C₇	semidirect
597. #552	C₂²×C₇	semidirect
598. #552	C₂²×C₇	semidirect
599. #552	C₂²×C₇	semidirect
600. #551	C₂²×C₇	semidirect
601. #551	C₂²×C₇	semidirect
602. #551	C₂²×C₇	semidirect
603. #551	C₂²×C₇	semidirect
605. D₄×Q₈	C₂²×C₇	semidirect
606. D₄×Q₈	C₂²×C₇	semidirect
608. #548	C₂²×C₇	semidirect
609. #548	C₂²×C₇	semidirect
610. #548	C₂²×C₇	semidirect
611. #548	C₂²×C₇	semidirect
612. #547	C₂²×C₇	semidirect
613. #547	C₂²×C₇	semidirect
614. #547	C₂²×C₇	semidirect
616. #546	C₂²×C₇	semidirect
617. #546	C₂²×C₇	semidirect
618. #546	C₂²×C₇	semidirect
619. #546	C₂²×C₇	semidirect
621. #544	C₂²×C₇	semidirect
622. #544	C₂²×C₇	semidirect
623. #542	C₂²×C₇	semidirect
624. #542	C₂²×C₇	semidirect
625. #542	C₂²×C₇	semidirect
626. #542	C₂²×C₇	semidirect
627. #542	C₂²×C₇	semidirect
628. #542	C₂²×C₇	semidirect
629. #542	C₂²×C₇	semidirect
630. #542	C₂²×C₇	semidirect
631. #542	C₂²×C₇	semidirect
632. #542	C₂²×C₇	semidirect
633. #542	C₂²×C₇	semidirect
634. #542	C₂²×C₇	semidirect
635. #542	C₂²×C₇	semidirect
636. #541	C₂²×C₇	semidirect
637. #541	C₂²×C₇	semidirect
638. #541	C₂²×C₇	semidirect
639. #540	C₂²×C₇	semidirect
640. #540	C₂²×C₇	semidirect
641. #540	C₂²×C₇	semidirect
642. #539	C₂²×C₇	semidirect
643. #539	C₂²×C₇	semidirect
644. #539	C₂²×C₇	semidirect
645. #538	C₂²×C₇	semidirect
646. #538	C₂²×C₇	semidirect
647. #538	C₂²×C₇	semidirect
649. #537	C₂²×C₇	semidirect
650. #536	C₂²×C₇	semidirect
651. #536	C₂²×C₇	semidirect
653. #535	C₂²×C₇	semidirect
654. #533	C₂²×C₇	semidirect
655. #533	C₂²×C₇	semidirect
656. #533	C₂²×C₇	semidirect
657. #532	C₂²×C₇	semidirect
658. #532	C₂²×C₇	semidirect
659. #532	C₂²×C₇	semidirect
660. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
661. #529	C₂²×C₇	semidirect
662. #529	C₂²×C₇	semidirect
663. #529	C₂²×C₇	semidirect
664. #529	C₂²×C₇	semidirect
665. #529	C₂²×C₇	semidirect
666. #529	C₂²×C₇	semidirect
667. #529	C₂²×C₇	semidirect
668. #529	C₂²×C₇	semidirect
669. #529	C₂²×C₇	semidirect
670. C₂×#126	C₂²×C₇	semidirect
671. C₂×#124	C₂²×C₇	semidirect
672. C₂×#124	C₂²×C₇	semidirect
674. #525	C₂²×C₇	semidirect
675. #525	C₂²×C₇	semidirect
676. C₂×#123	C₂²×C₇	semidirect
677. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
678. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
682. #520	C₂²×C₇	semidirect
683. #520	C₂²×C₇	semidirect
684. #520	C₂²×C₇	semidirect
685. #520	C₂²×C₇	semidirect
686. #520	C₂²×C₇	semidirect
687. #520	C₂²×C₇	semidirect
688. #520	C₂²×C₇	semidirect
689. #520	C₂²×C₇	semidirect
690. #519	C₂²×C₇	semidirect
691. #519	C₂²×C₇	semidirect
692. #519	C₂²×C₇	semidirect
693. #519	C₂²×C₇	semidirect
694. #518	C₂²×C₇	semidirect
695. #518	C₂²×C₇	semidirect
696. #518	C₂²×C₇	semidirect
697. #518	C₂²×C₇	semidirect
700. C₄×#41	C₂²×C₇	semidirect
701. C₄×#41	C₂²×C₇	semidirect
702. C₄×#41	C₂²×C₇	semidirect
703. C₄×#41	C₂²×C₇	semidirect
704. C₄×#41	C₂²×C₇	semidirect
705. C₄×#41	C₂²×C₇	semidirect
706. C₂×C₄×Q₈	C₂²×C₇	semidirect
707. C₂×C₄×Q₈	C₂²×C₇	semidirect
708. C₂×C₄×D₄	C₂²×C₇	semidirect
709. C₂×C₄×D₄	C₂²×C₇	semidirect
710. C₂×#117	C₂²×C₇	semidirect
711. C₂×#117	C₂²×C₇	semidirect
1075. #41	C₇×#41	semidirect
1300. C₇	#62857	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×#3524	2
C₇×#3522	2
C₇×#3521	2
C₇×#3520	2
C₇×#3518	2
C₇×#3516	2
C₇×#3514	2
C₇×#3513	2
C₇×#3511	2
C₇×#3510	2
C₇×#3503	2
C₇×#3500	2
C₇×#3495	2
C₇×#3494	2
C₇×#3489	2
C₇×#3488	2
C₇×#3461	2
C₇×#3460	2
C₇×#3455	2
C₂×C₇×#542	2
C₄×C₇×2₋¹⁺⁴	2
C₄×C₇×H(5,𝔽₂)	2
C₇×#3428	2
#62857	7

Subgroups — C7×#62857 #13240073

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62857 #13240073