Subgroups — C₇×#62816 #13240032

Order 1792.

7220 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×#3524	C₂	1	2	yes	maximal, complemented
2	C₇×#3523	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3522	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3521	C₂	1	6	yes	maximal, complemented
5	C₇×#3520	C₂	1	3	yes	maximal, complemented
6	C₇×#3519	C₂	1	3	yes	maximal, complemented
7	C₇×#3518	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3517	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3516	C₂	1	2	yes	maximal, complemented
10	C₇×#3515	C₂	1	3	yes	maximal, complemented
11	C₇×#3514	C₂	1	3	yes	maximal, complemented
12	C₇×#3513	C₂	1	6	yes	maximal, complemented
13	C₇×#3480	C₂	1	3	yes	maximal, complemented
14	C₇×Q₈×#41	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3475	C₂	1	6	yes	maximal, complemented
16	C₇×#3475	C₂	1	3	yes	maximal, complemented
17	C₇×D₄×#41	C₂	1	2	yes	maximal, complemented
18	C₇×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3455	C₂	1	6	yes	maximal, complemented
20	C₇×#3444	C₂	1	3	yes	maximal, complemented
21	C₂×C₇×#529	C₂	1	3	yes	maximal, complemented
22	C₇×#3428	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×C₇×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₇×#41	C₂²	1	2	yes	—
26	C₇×#559	C₂²	1	6	yes	complemented
27	C₇×#559	C₂²	1	3	yes	complemented
28	C₇×Q₈²	C₂²	1	1	yes	characteristic, complemented
29	C₇×#557	C₂²	1	2	yes	complemented
30	C₇×#557	C₂²	1	1	yes	characteristic, complemented
31	C₇×#557	C₂²	1	3	yes	complemented
32	C₇×#556	C₂²	1	3	yes	complemented
33	C₇×#556	C₂²	1	6	yes	complemented
34	C₇×#556	C₂²	1	6	yes	complemented
35	C₇×#556	C₂²	1	3	yes	complemented
36	C₇×#555	C₂²	1	6	yes	complemented
37	C₇×#555	C₂²	1	3	yes	complemented
38	C₇×#554	C₂²	1	3	yes	complemented
39	C₇×#554	C₂²	1	6	yes	complemented
40	C₇×#554	C₂²	1	6	yes	complemented
41	C₇×#554	C₂²	1	3	yes	complemented
42	C₇×#553	C₂²	1	6	yes	complemented
43	C₇×#553	C₂²	1	6	yes	complemented
44	C₇×#553	C₂²	1	6	yes	complemented
45	C₇×#553	C₂²	1	12	yes	complemented
46	C₇×#553	C₂²	1	6	yes	complemented
47	C₇×#552	C₂²	1	6	yes	complemented
48	C₇×#552	C₂²	1	6	yes	complemented
49	C₇×#552	C₂²	1	12	yes	complemented
50	C₇×#552	C₂²	1	6	yes	complemented
51	C₇×#552	C₂²	1	6	yes	complemented
52	C₇×#551	C₂²	1	12	yes	complemented
53	C₇×#551	C₂²	1	12	yes	complemented
54	C₇×#551	C₂²	1	12	yes	complemented
55	C₇×#550	C₂²	1	1	yes	characteristic, complemented
56	C₇×#550	C₂²	1	2	yes	complemented
57	C₇×#550	C₂²	1	3	yes	complemented
58	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
59	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
60	C₇×D₄×Q₈	C₂²	1	3	yes	complemented
61	C₇×#548	C₂²	1	2	yes	complemented
62	C₇×#548	C₂²	1	2	yes	complemented
63	C₇×#548	C₂²	1	2	yes	complemented
64	C₇×#548	C₂²	1	6	yes	complemented
65	C₇×#547	C₂²	1	3	yes	complemented
66	C₇×#547	C₂²	1	6	yes	complemented
67	C₇×#547	C₂²	1	6	yes	complemented
68	C₇×#547	C₂²	1	3	yes	complemented
69	C₇×#546	C₂²	1	6	yes	complemented
70	C₇×#546	C₂²	1	6	yes	complemented
71	C₇×#546	C₂²	1	6	yes	complemented
72	C₇×#546	C₂²	1	12	yes	complemented
73	C₇×#546	C₂²	1	6	yes	complemented
74	C₇×D₄²	C₂²	1	6	yes	complemented
75	C₇×D₄²	C₂²	1	3	yes	complemented
76	C₇×#542	C₂²	1	6	yes	complemented
77	C₇×#542	C₂²	1	6	yes	complemented
78	C₇×#542	C₂²	1	6	yes	complemented
79	C₇×#542	C₂²	1	6	yes	complemented
80	C₇×#541	C₂²	1	6	yes	complemented
81	C₇×#541	C₂²	1	6	yes	complemented
82	C₇×#540	C₂²	1	6	yes	complemented
83	C₇×#540	C₂²	1	6	yes	complemented
84	C₇×#539	C₂²	1	12	yes	complemented
85	C₇×#539	C₂²	1	12	yes	complemented
86	C₇×#538	C₂²	1	12	yes	complemented
87	C₇×#538	C₂²	1	12	yes	complemented
88	C₇×#533	C₂²	1	3	yes	complemented
89	C₇×#533	C₂²	1	3	yes	complemented
90	C₇×#533	C₂²	1	3	yes	complemented
91	C₇×#533	C₂²	1	6	yes	complemented
92	C₇×#532	C₂²	1	3	yes	complemented
93	C₇×#532	C₂²	1	3	yes	complemented
94	C₇×#532	C₂²	1	3	yes	complemented
95	C₇×#532	C₂²	1	6	yes	complemented
96	C₇×#529	C₂²	1	1	yes	characteristic
97	C₇×#529	C₂²	1	3	yes	—
98	C₇×#529	C₂²	1	3	yes	complemented
99	C₇×#529	C₂²	1	6	yes	complemented
100	C₇×#529	C₂²	1	6	yes	complemented
101	C₇×#529	C₂²	1	3	yes	complemented
102	C₇×#529	C₂²	1	3	yes	complemented
103	C₇×#529	C₂²	1	6	yes	complemented
104	C₇×#529	C₂²	1	3	yes	complemented
105	C₇×#529	C₂²	1	3	yes	complemented
106	C₇×#529	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	12	yes	complemented
114	C₇×#529	C₂²	1	12	yes	complemented
115	C₂×C₇×#126	C₂²	1	6	yes	complemented
116	C₂×C₇×#125	C₂²	1	3	yes	complemented
117	C₂×C₇×#124	C₂²	1	3	yes	complemented
118	C₇×#525	C₂²	1	6	yes	complemented
119	C₇×#525	C₂²	1	6	yes	complemented
120	C₇×#525	C₂²	1	6	yes	complemented
121	C₇×#525	C₂²	1	6	yes	complemented
122	C₇×#525	C₂²	1	6	yes	complemented
123	C₂×C₇×#123	C₂²	1	6	yes	complemented
124	C₂×C₇×C₂²⋊Q₈	C₂²	1	3	yes	complemented
125	C₂×C₇×#121	C₂²	1	3	yes	—
126	C₇×#520	C₂²	1	6	yes	complemented
127	C₇×#520	C₂²	1	2	yes	complemented
128	C₇×#520	C₂²	1	6	yes	complemented
129	C₇×#520	C₂²	1	2	yes	complemented
130	C₇×#519	C₂²	1	2	yes	complemented
131	C₇×#519	C₂²	1	2	yes	complemented
132	C₇×#518	C₂²	1	6	yes	complemented
133	C₇×#518	C₂²	1	6	yes	complemented
134	C₄×C₇×#41	C₂²	1	1	yes	characteristic
135	C₄×C₇×#41	C₂²	1	1	yes	characteristic
136	C₄×C₇×#41	C₂²	1	2	yes	—
137	C₄×C₇×#41	C₂²	1	3	yes	complemented
138	C₄×C₇×#41	C₂²	1	3	yes	complemented
139	C₄×C₇×#41	C₂²	1	3	yes	complemented
140	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
141	C₄×C₇×#41	C₂²	1	3	yes	complemented
142	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
143	C₄×C₇×#41	C₂²	1	6	yes	complemented
144	C₄×C₇×#41	C₂²	1	6	yes	complemented
145	C₄×C₇×#41	C₂²	1	6	yes	complemented
146	C₄×C₇×#41	C₂²	1	6	yes	complemented
147	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₄×C₇×Q₈	C₂²	1	3	yes	complemented
150	C₂×C₄×C₇×D₄	C₂²	1	3	yes	complemented
151	C₂×C₄×C₇×D₄	C₂²	1	3	yes	complemented
152	C₂×C₄×C₇×D₄	C₂²	1	3	yes	complemented
153	C₂×C₄×C₇×D₄	C₂²	1	6	yes	complemented
154	C₂×C₇×#117	C₂²	1	3	yes	complemented
155	C₂×C₇×#117	C₂²	1	6	yes	complemented
156	C₂×C₇×#117	C₂²	1	6	yes	complemented
157	C₂²×C₄²×C₇	C₂²	1	3	yes	complemented
158	#62816	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
159	C₂×C₇×#41	—	2	8	no	—
160	C₂×C₇×#41	—	2	16	no	—
161	C₂×C₇×#41	C₂³	1	3	yes	—
162	C₂×C₇×#41	C₂³	1	6	yes	—
163	C₂×C₇×#41	C₂³	1	3	yes	—
164	C₂×C₇×#41	C₂³	1	1	yes	characteristic
165	C₂×C₇×#41	C₂³	1	6	yes	—
166	C₂×C₇×#41	C₂³	1	2	yes	—
167	C₂×C₇×#41	C₂³	1	6	yes	—
168	C₂×C₇×#41	C₂³	1	6	yes	—
169	C₂×C₇×#41	C₂³	1	1	yes	characteristic
170	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
171	C₂²×C₇×Q₈	C₂³	1	2	yes	—
172	C₂²×C₇×Q₈	C₂³	1	3	yes	—
173	C₂²×C₇×D₄	C₂³	1	3	yes	—
174	C₂²×C₇×D₄	C₂³	1	6	yes	—
175	C₂²×C₇×D₄	C₂³	1	6	yes	—
176	C₂²×C₇×D₄	C₂³	1	3	yes	—
177	C₂³×C₄×C₇	C₂³	1	3	yes	—
178	C₂³×C₄×C₇	C₂³	1	6	yes	—
179	C₂³×C₄×C₇	C₂³	1	3	yes	—
180	C₂³×C₄×C₇	C₂³	1	3	yes	—
181	C₇×C₄⋊Q₈	C₂³	1	3	yes	—
182	C₇×C₄⋊Q₈	C₂³	1	3	yes	—
183	C₇×C₄⋊Q₈	C₂³	1	3	yes	—
184	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
185	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
186	C₇×C₄⋊Q₈	C₂³	1	6	yes	—
187	C₇×#127	C₂³	1	3	yes	—
188	C₇×#127	C₂³	1	6	yes	—
189	C₇×#126	C₂³	1	2	yes	—
190	C₇×#126	C₂³	1	6	yes	—
191	C₇×#126	C₂³	1	6	yes	—
192	C₇×#126	C₂³	1	6	yes	—
193	C₇×#126	C₂³	1	6	yes	—
194	C₇×#126	C₂³	1	6	yes	—
195	C₇×#126	C₂³	1	6	yes	—
196	C₇×#126	C₂³	1	6	yes	—
197	C₇×#126	C₂³	1	12	yes	—
198	C₇×#126	C₂³	1	12	yes	—
199	C₇×#126	C₂³	1	12	yes	—
200	C₇×#126	C₂³	1	12	yes	—
201	C₇×#126	C₂³	1	12	yes	—
202	C₇×#125	C₂³	1	1	yes	characteristic
203	C₇×#125	C₂³	1	3	yes	—
204	C₇×#125	C₂³	1	3	yes	—
205	C₇×#125	C₂³	1	6	yes	—
206	C₇×#125	C₂³	1	6	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	12	yes	—
211	C₇×#125	C₂³	1	12	yes	—
212	C₇×#125	C₂³	1	6	yes	—
213	C₇×#125	C₂³	1	6	yes	—
214	C₇×#124	C₂³	1	1	yes	characteristic
215	C₇×#124	C₂³	1	3	yes	—
216	C₇×#124	C₂³	1	3	yes	—
217	C₇×#124	C₂³	1	6	yes	—
218	C₇×#124	C₂³	1	3	yes	—
219	C₇×#124	C₂³	1	6	yes	—
220	C₇×#124	C₂³	1	6	yes	—
221	C₇×#124	C₂³	1	6	yes	—
222	C₇×#124	C₂³	1	12	yes	—
223	C₇×#124	C₂³	1	12	yes	—
224	C₇×#124	C₂³	1	6	yes	—
225	C₇×#124	C₂³	1	6	yes	—
226	C₇×#123	C₂³	1	2	yes	—
227	C₇×#123	C₂³	1	6	yes	—
228	C₇×#123	C₂³	1	6	yes	—
229	C₇×#123	C₂³	1	6	yes	—
230	C₇×#123	C₂³	1	6	yes	—
231	C₇×#123	C₂³	1	6	yes	—
232	C₇×#123	C₂³	1	6	yes	—
233	C₇×#123	C₂³	1	6	yes	—
234	C₇×#123	C₂³	1	12	yes	—
235	C₇×#123	C₂³	1	12	yes	—
236	C₇×#123	C₂³	1	12	yes	—
237	C₇×#123	C₂³	1	12	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	12	yes	—
242	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
243	C₇×C₂²⋊Q₈	C₂³	1	3	yes	—
244	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
245	C₇×C₂²⋊Q₈	C₂³	1	3	yes	—
246	C₇×C₂²⋊Q₈	C₂³	1	3	yes	—
247	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
248	C₇×C₂²⋊Q₈	C₂³	1	6	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	6	yes	—
253	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
254	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
255	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
256	C₇×C₂²⋊Q₈	C₂³	1	6	yes	—
257	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
258	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
259	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
260	C₇×C₂²⋊Q₈	C₂³	1	12	yes	—
261	C₇×#121	C₂³	1	1	yes	characteristic
262	C₇×#121	C₂³	1	3	yes	—
263	C₇×#121	C₂³	1	6	yes	—
264	C₇×#121	C₂³	1	6	yes	—
265	C₇×#121	C₂³	1	3	yes	—
266	C₇×#121	C₂³	1	3	yes	—
267	C₇×#121	C₂³	1	6	yes	—
268	C₇×#121	C₂³	1	6	yes	—
269	C₇×#121	C₂³	1	6	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	6	yes	—
274	C₇×#121	C₂³	1	6	yes	—
275	C₇×#121	C₂³	1	6	yes	—
276	C₇×#121	C₂³	1	12	yes	—
277	C₇×#121	C₂³	1	12	yes	—
278	C₇×#121	C₂³	1	12	yes	—
279	C₇×#121	C₂³	1	12	yes	—
280	C₇×#120	C₂³	1	12	yes	—
281	C₇×#120	C₂³	1	12	yes	—
282	C₇×#120	C₂³	1	12	yes	—
283	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
284	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
285	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
286	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
287	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
288	C₄×C₇×Q₈	C₂³	1	3	yes	—
289	C₄×C₇×Q₈	C₂³	1	3	yes	—
290	C₄×C₇×Q₈	C₂³	1	3	yes	—
291	C₄×C₇×Q₈	C₂³	1	3	yes	—
292	C₄×C₇×Q₈	C₂³	1	3	yes	—
293	C₄×C₇×Q₈	C₂³	1	3	yes	—
294	C₄×C₇×Q₈	C₂³	1	6	yes	—
295	C₄×C₇×Q₈	C₂³	1	3	yes	—
296	C₄×C₇×Q₈	C₂³	1	6	yes	—
297	C₄×C₇×Q₈	C₂³	1	2	yes	—
298	C₄×C₇×Q₈	C₂³	1	2	yes	—
299	C₄×C₇×Q₈	C₂³	1	6	yes	—
300	C₄×C₇×Q₈	C₂³	1	6	yes	—
301	C₄×C₇×Q₈	C₂³	1	6	yes	—
302	C₄×C₇×Q₈	C₂³	1	6	yes	—
303	C₄×C₇×Q₈	C₂³	1	6	yes	—
304	C₄×C₇×Q₈	C₂³	1	6	yes	—
305	C₄×C₇×Q₈	C₂³	1	6	yes	—
306	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
307	C₄×C₇×D₄	C₂³	1	2	yes	—
308	C₄×C₇×D₄	C₂³	1	3	yes	—
309	C₄×C₇×D₄	C₂³	1	3	yes	—
310	C₄×C₇×D₄	C₂³	1	3	yes	—
311	C₄×C₇×D₄	C₂³	1	3	yes	—
312	C₄×C₇×D₄	C₂³	1	6	yes	—
313	C₄×C₇×D₄	C₂³	1	3	yes	—
314	C₄×C₇×D₄	C₂³	1	6	yes	—
315	C₄×C₇×D₄	C₂³	1	6	yes	—
316	C₄×C₇×D₄	C₂³	1	3	yes	—
317	C₄×C₇×D₄	C₂³	1	3	yes	—
318	C₄×C₇×D₄	C₂³	1	6	yes	—
319	C₄×C₇×D₄	C₂³	1	3	yes	—
320	C₄×C₇×D₄	C₂³	1	6	yes	—
321	C₄×C₇×D₄	C₂³	1	3	yes	—
322	C₄×C₇×D₄	C₂³	1	6	yes	—
323	C₄×C₇×D₄	C₂³	1	6	yes	—
324	C₄×C₇×D₄	C₂³	1	6	yes	—
325	C₄×C₇×D₄	C₂³	1	3	yes	—
326	C₄×C₇×D₄	C₂³	1	6	yes	—
327	C₄×C₇×D₄	C₂³	1	6	yes	—
328	C₄×C₇×D₄	C₂³	1	6	yes	—
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	12	yes	—
335	C₄×C₇×D₄	C₂³	1	12	yes	—
336	C₄×C₇×D₄	C₂³	1	6	yes	—
337	C₄×C₇×D₄	C₂³	1	6	yes	—
338	C₄×C₇×D₄	C₂³	1	12	yes	—
339	C₄×C₇×D₄	C₂³	1	6	yes	—
340	C₄×C₇×D₄	C₂³	1	12	yes	—
341	C₄×C₇×D₄	C₂³	1	6	yes	—
342	C₄×C₇×D₄	C₂³	1	6	yes	—
343	C₄×C₇×D₄	C₂³	1	12	yes	—
344	C₄×C₇×D₄	C₂³	1	12	yes	—
345	C₄×C₇×D₄	C₂³	1	12	yes	—
346	C₄×C₇×D₄	C₂³	1	6	yes	—
347	C₄×C₇×D₄	C₂³	1	6	yes	—
348	C₇×#117	C₂³	1	3	yes	—
349	C₇×#117	C₂³	1	2	yes	—
350	C₇×#117	C₂³	1	6	yes	—
351	C₇×#117	C₂³	1	3	yes	—
352	C₇×#117	C₂³	1	6	yes	—
353	C₇×#117	C₂³	1	6	yes	—
354	C₇×#117	C₂³	1	6	yes	—
355	C₇×#117	C₂³	1	6	yes	—
356	C₇×#117	C₂³	1	6	yes	—
357	C₇×#117	C₂³	1	3	yes	—
358	C₇×#117	C₂³	1	3	yes	—
359	C₇×#117	C₂³	1	6	yes	—
360	C₇×#117	C₂³	1	6	yes	—
361	C₇×#117	C₂³	1	6	yes	—
362	C₇×#117	C₂³	1	6	yes	—
363	C₇×#117	C₂³	1	6	yes	—
364	C₇×#117	C₂³	1	6	yes	—
365	C₇×#117	C₂³	1	12	yes	—
366	C₇×#117	C₂³	1	6	yes	—
367	C₇×#117	C₂³	1	6	yes	—
368	C₇×#117	C₂³	1	12	yes	—
369	C₇×#117	C₂³	1	12	yes	—
370	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
371	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
372	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
373	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
374	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
375	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
376	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
377	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
378	C₂×C₇×C₄⋊C₄	C₂³	1	3	yes	—
379	C₂×C₇×C₄⋊C₄	C₂³	1	6	yes	—
380	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
381	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
382	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
383	C₂×C₇×C₂²⋊C₄	C₂³	1	12	yes	—
384	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
385	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
386	C₂×C₇×C₂²⋊C₄	C₂³	1	6	yes	—
387	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
388	C₂×C₄²×C₇	C₂³	1	3	yes	—
389	C₂×C₄²×C₇	C₂³	1	3	yes	—
390	C₂×C₄²×C₇	C₂³	1	3	yes	—
391	C₂×C₄²×C₇	C₂³	1	3	yes	—
392	C₂×C₄²×C₇	C₂³	1	3	yes	—
393	C₂×C₄²×C₇	C₂³	1	3	yes	—
394	C₂×C₄²×C₇	C₂³	1	3	yes	—
395	C₂×C₄²×C₇	C₂³	1	3	yes	—
396	C₂×C₄²×C₇	C₂³	1	3	yes	—
397	C₂×C₄²×C₇	C₂³	1	3	yes	—
398	C₂×C₄²×C₇	C₂³	1	3	yes	—
399	C₂×C₄²×C₇	C₂³	1	6	yes	—
400	C₂×C₄²×C₇	C₂³	1	12	yes	—
401	#3524	C₂×C₇	1	2	yes	complemented
402	#3523	C₂×C₇	1	1	yes	characteristic, complemented
403	#3522	C₂×C₇	1	1	yes	characteristic, complemented
404	#3521	C₂×C₇	1	6	yes	complemented
405	#3520	C₂×C₇	1	3	yes	complemented
406	#3519	C₂×C₇	1	3	yes	complemented
407	#3518	C₂×C₇	1	1	yes	characteristic, complemented
408	#3517	C₂×C₇	1	1	yes	characteristic, complemented
409	#3516	C₂×C₇	1	2	yes	complemented
410	#3515	C₂×C₇	1	3	yes	complemented
411	#3514	C₂×C₇	1	3	yes	complemented
412	#3513	C₂×C₇	1	6	yes	complemented
413	#3480	C₂×C₇	1	3	yes	complemented
414	Q₈×#41	C₂×C₇	1	1	yes	characteristic, complemented
415	#3475	C₂×C₇	1	6	yes	complemented
416	#3475	C₂×C₇	1	3	yes	complemented
417	D₄×#41	C₂×C₇	1	1	yes	characteristic, complemented
418	D₄×#41	C₂×C₇	1	2	yes	complemented
419	#3455	C₂×C₇	1	6	yes	complemented
420	#3444	C₂×C₇	1	3	yes	complemented
421	C₂×#529	C₂×C₇	1	3	yes	complemented
422	#3428	C₂×C₇	1	2	yes	complemented
423	C₂×C₄×#41	C₂×C₇	1	1	yes	characteristic, complemented
424	C₂⁴×C₇	C₂⁴	1	3	yes	—
425	C₂⁴×C₇	C₂⁴	1	6	yes	—
426	C₇×#41	—	2	4	no	—
427	C₇×#41	—	2	8	no	—
428	C₇×#41	—	2	12	no	—
429	C₇×#41	—	2	24	no	—
430	C₇×#41	—	2	12	no	—
431	C₇×#41	—	2	24	no	—
432	C₇×#41	—	4	12	no	—
433	C₇×#41	—	4	12	no	—
434	C₇×#41	#41	1	8	yes	complemented
435	C₂×C₇×Q₈	—	2	4	no	—
436	C₂×C₇×Q₈	—	2	8	no	—
437	C₂×C₇×Q₈	—	4	6	no	—
438	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
439	C₂×C₇×Q₈	C₂⁴	1	3	yes	—
440	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
441	C₂×C₇×Q₈	C₂⁴	1	3	yes	—
442	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
443	C₂×C₇×Q₈	C₂⁴	1	6	yes	—
444	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
445	C₂×C₇×D₄	—	2	12	no	—
446	C₂×C₇×D₄	—	2	24	no	—
447	C₂×C₇×D₄	—	4	6	no	—
448	C₂×C₇×D₄	—	4	12	no	—
449	C₂×C₇×D₄	C₂⁴	1	6	yes	—
450	C₂×C₇×D₄	C₂⁴	1	12	yes	—
451	C₂×C₇×D₄	C₂⁴	1	6	yes	—
452	C₂×C₇×D₄	C₂⁴	1	2	yes	—
453	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
454	C₂×C₇×D₄	C₂⁴	1	3	yes	—
455	C₂×C₇×D₄	C₂⁴	1	6	yes	—
456	C₂×C₇×D₄	C₂⁴	1	3	yes	—
457	C₂×C₇×D₄	C₂⁴	1	6	yes	—
458	C₂×C₇×D₄	C₂⁴	1	6	yes	—
459	C₂×C₇×D₄	C₂⁴	1	12	yes	—
460	C₂×C₇×D₄	C₂⁴	1	6	yes	—
461	C₂×C₇×D₄	C₂⁴	1	6	yes	—
462	C₂×C₇×D₄	C₂⁴	1	3	yes	—
463	C₂²×C₄×C₇	—	2	12	no	—
464	C₂²×C₄×C₇	—	2	24	no	—
465	C₂²×C₄×C₇	—	4	6	no	—
466	C₂²×C₄×C₇	—	4	6	no	—
467	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
470	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
471	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
472	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
473	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
474	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
475	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
476	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
477	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
478	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
480	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
481	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
483	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
484	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
485	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
486	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
487	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
488	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
489	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
490	C₂²×C₄×C₇	C₂⁴	1	6	yes	—
491	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
492	C₂²×C₄×C₇	C₂⁴	1	12	yes	—
493	C₂²×C₄×C₇	C₂⁴	1	3	yes	—
494	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
495	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
496	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
497	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
498	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
499	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
500	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
501	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
502	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
503	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
504	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
505	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
506	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
507	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
508	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
509	C₇×C₄⋊C₄	C₂⁴	1	3	yes	—
510	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
511	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
512	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
513	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
514	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
515	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
516	C₇×C₄⋊C₄	C₂⁴	1	6	yes	—
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	6	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	12	yes	—
527	C₇×C₄⋊C₄	C₂⁴	1	12	yes	—
528	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
529	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
530	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
531	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
532	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
533	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
534	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
535	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
536	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
537	C₇×C₂²⋊C₄	C₂⁴	1	12	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	6	yes	—
543	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
544	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
545	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
546	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
547	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
548	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
549	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
550	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
551	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
552	C₇×C₂²⋊C₄	C₂⁴	1	6	yes	—
553	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
554	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
555	C₇×C₂²⋊C₄	C₂⁴	1	12	yes	—
556	C₄²×C₇	C₂⁴	1	1	yes	characteristic
557	C₄²×C₇	C₂⁴	1	1	yes	characteristic
558	C₄²×C₇	C₂⁴	1	3	yes	—
559	C₄²×C₇	C₂⁴	1	3	yes	—
560	C₄²×C₇	C₂⁴	1	3	yes	—
561	C₄²×C₇	C₂⁴	1	3	yes	—
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	3	yes	—
566	C₄²×C₇	C₂⁴	1	3	yes	—
567	C₄²×C₇	C₂⁴	1	3	yes	—
568	C₄²×C₇	C₂⁴	1	12	yes	—
569	C₄²×C₇	C₂⁴	1	12	yes	—
570	C₄²×C₇	C₂⁴	1	6	yes	—
571	C₄²×C₇	C₂⁴	1	6	yes	—
572	C₄²×C₇	C₂⁴	1	1	yes	characteristic
573	C₄²×C₇	C₂⁴	1	3	yes	—
574	C₄²×C₇	C₂⁴	1	1	yes	characteristic
575	C₄²×C₇	C₂⁴	1	2	yes	—
576	C₄²×C₇	C₂⁴	1	3	yes	—
577	C₄²×C₇	C₂⁴	1	6	yes	—
578	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
579	C₂²×#41	C₂²×C₇	1	2	yes	—
580	#559	C₂²×C₇	1	6	yes	complemented
581	#559	C₂²×C₇	1	3	yes	complemented
582	Q₈²	C₂²×C₇	1	1	yes	characteristic, complemented
583	#557	C₂²×C₇	1	2	yes	complemented
584	#557	C₂²×C₇	1	1	yes	characteristic, complemented
585	#557	C₂²×C₇	1	3	yes	complemented
586	#556	C₂²×C₇	1	3	yes	complemented
587	#556	C₂²×C₇	1	6	yes	complemented
588	#556	C₂²×C₇	1	6	yes	complemented
589	#556	C₂²×C₇	1	3	yes	complemented
590	#555	C₂²×C₇	1	6	yes	complemented
591	#555	C₂²×C₇	1	3	yes	complemented
592	#554	C₂²×C₇	1	3	yes	complemented
593	#554	C₂²×C₇	1	6	yes	complemented
594	#554	C₂²×C₇	1	6	yes	complemented
595	#554	C₂²×C₇	1	3	yes	complemented
596	#553	C₂²×C₇	1	6	yes	complemented
597	#553	C₂²×C₇	1	6	yes	complemented
598	#553	C₂²×C₇	1	6	yes	complemented
599	#553	C₂²×C₇	1	12	yes	complemented
600	#553	C₂²×C₇	1	6	yes	complemented
601	#552	C₂²×C₇	1	6	yes	complemented
602	#552	C₂²×C₇	1	6	yes	complemented
603	#552	C₂²×C₇	1	12	yes	complemented
604	#552	C₂²×C₇	1	6	yes	complemented
605	#552	C₂²×C₇	1	6	yes	complemented
606	#551	C₂²×C₇	1	12	yes	complemented
607	#551	C₂²×C₇	1	12	yes	complemented
608	#551	C₂²×C₇	1	12	yes	complemented
609	#550	C₂²×C₇	1	1	yes	characteristic, complemented
610	#550	C₂²×C₇	1	2	yes	complemented
611	#550	C₂²×C₇	1	3	yes	complemented
612	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
613	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
614	D₄×Q₈	C₂²×C₇	1	3	yes	complemented
615	#548	C₂²×C₇	1	2	yes	complemented
616	#548	C₂²×C₇	1	2	yes	complemented
617	#548	C₂²×C₇	1	2	yes	complemented
618	#548	C₂²×C₇	1	6	yes	complemented
619	#547	C₂²×C₇	1	3	yes	complemented
620	#547	C₂²×C₇	1	6	yes	complemented
621	#547	C₂²×C₇	1	6	yes	complemented
622	#547	C₂²×C₇	1	3	yes	complemented
623	#546	C₂²×C₇	1	6	yes	complemented
624	#546	C₂²×C₇	1	6	yes	complemented
625	#546	C₂²×C₇	1	6	yes	complemented
626	#546	C₂²×C₇	1	12	yes	complemented
627	#546	C₂²×C₇	1	6	yes	complemented
628	D₄²	C₂²×C₇	1	6	yes	complemented
629	D₄²	C₂²×C₇	1	3	yes	complemented
630	#542	C₂²×C₇	1	6	yes	complemented
631	#542	C₂²×C₇	1	6	yes	complemented
632	#542	C₂²×C₇	1	6	yes	complemented
633	#542	C₂²×C₇	1	6	yes	complemented
634	#541	C₂²×C₇	1	6	yes	complemented
635	#541	C₂²×C₇	1	6	yes	complemented
636	#540	C₂²×C₇	1	6	yes	complemented
637	#540	C₂²×C₇	1	6	yes	complemented
638	#539	C₂²×C₇	1	12	yes	complemented
639	#539	C₂²×C₇	1	12	yes	complemented
640	#538	C₂²×C₇	1	12	yes	complemented
641	#538	C₂²×C₇	1	12	yes	complemented
642	#533	C₂²×C₇	1	3	yes	complemented
643	#533	C₂²×C₇	1	3	yes	complemented
644	#533	C₂²×C₇	1	3	yes	complemented
645	#533	C₂²×C₇	1	6	yes	complemented
646	#532	C₂²×C₇	1	3	yes	complemented
647	#532	C₂²×C₇	1	3	yes	complemented
648	#532	C₂²×C₇	1	3	yes	complemented
649	#532	C₂²×C₇	1	6	yes	complemented
650	#529	C₂²×C₇	1	1	yes	characteristic
651	#529	C₂²×C₇	1	3	yes	—
652	#529	C₂²×C₇	1	3	yes	complemented
653	#529	C₂²×C₇	1	6	yes	complemented
654	#529	C₂²×C₇	1	6	yes	complemented
655	#529	C₂²×C₇	1	3	yes	complemented
656	#529	C₂²×C₇	1	3	yes	complemented
657	#529	C₂²×C₇	1	6	yes	complemented
658	#529	C₂²×C₇	1	3	yes	complemented
659	#529	C₂²×C₇	1	3	yes	complemented
660	#529	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	12	yes	complemented
668	#529	C₂²×C₇	1	12	yes	complemented
669	C₂×#126	C₂²×C₇	1	6	yes	complemented
670	C₂×#125	C₂²×C₇	1	3	yes	complemented
671	C₂×#124	C₂²×C₇	1	3	yes	complemented
672	#525	C₂²×C₇	1	6	yes	complemented
673	#525	C₂²×C₇	1	6	yes	complemented
674	#525	C₂²×C₇	1	6	yes	complemented
675	#525	C₂²×C₇	1	6	yes	complemented
676	#525	C₂²×C₇	1	6	yes	complemented
677	C₂×#123	C₂²×C₇	1	6	yes	complemented
678	C₂×C₂²⋊Q₈	C₂²×C₇	1	3	yes	complemented
679	C₂×#121	C₂²×C₇	1	3	yes	—
680	#520	C₂²×C₇	1	6	yes	complemented
681	#520	C₂²×C₇	1	2	yes	complemented
682	#520	C₂²×C₇	1	6	yes	complemented
683	#520	C₂²×C₇	1	2	yes	complemented
684	#519	C₂²×C₇	1	2	yes	complemented
685	#519	C₂²×C₇	1	2	yes	complemented
686	#518	C₂²×C₇	1	6	yes	complemented
687	#518	C₂²×C₇	1	6	yes	complemented
688	C₄×#41	C₂²×C₇	1	1	yes	characteristic
689	C₄×#41	C₂²×C₇	1	1	yes	characteristic
690	C₄×#41	C₂²×C₇	1	2	yes	—
691	C₄×#41	C₂²×C₇	1	3	yes	complemented
692	C₄×#41	C₂²×C₇	1	3	yes	complemented
693	C₄×#41	C₂²×C₇	1	3	yes	complemented
694	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
695	C₄×#41	C₂²×C₇	1	3	yes	complemented
696	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
697	C₄×#41	C₂²×C₇	1	6	yes	complemented
698	C₄×#41	C₂²×C₇	1	6	yes	complemented
699	C₄×#41	C₂²×C₇	1	6	yes	complemented
700	C₄×#41	C₂²×C₇	1	6	yes	complemented
701	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
702	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
703	C₂×C₄×Q₈	C₂²×C₇	1	3	yes	complemented
704	C₂×C₄×D₄	C₂²×C₇	1	3	yes	complemented
705	C₂×C₄×D₄	C₂²×C₇	1	3	yes	complemented
706	C₂×C₄×D₄	C₂²×C₇	1	6	yes	complemented
707	C₂×C₄×D₄	C₂²×C₇	1	3	yes	complemented
708	C₂×#117	C₂²×C₇	1	3	yes	complemented
709	C₂×#117	C₂²×C₇	1	6	yes	complemented
710	C₂×#117	C₂²×C₇	1	6	yes	complemented
711	C₂²×C₄²	C₂²×C₇	1	3	yes	complemented
712	C₂³×C₇	—	2	6	no	—
713	C₂³×C₇	—	2	6	no	—
714	C₂³×C₇	—	2	12	no	—
715	C₂³×C₇	—	4	3	no	—
716	C₂³×C₇	—	4	6	no	—
717	C₂³×C₇	—	4	6	no	—
718	C₂³×C₇	C₂⁵	1	2	yes	—
719	C₂³×C₇	C₂⁵	1	3	yes	—
720	C₂³×C₇	C₂⁵	1	6	yes	—
721	C₂³×C₇	C₂⁵	1	3	yes	—
722	C₂³×C₇	C₂⁵	1	1	yes	characteristic
723	C₇×Q₈	—	2	6	no	—
724	C₇×Q₈	—	2	12	no	—
725	C₇×Q₈	—	2	2	no	—
726	C₇×Q₈	—	2	6	no	—
727	C₇×Q₈	—	4	6	no	—
728	C₇×Q₈	—	4	6	no	—
729	C₇×Q₈	C₂×#41	1	4	yes	—
730	C₇×D₄	—	2	12	no	—
731	C₇×D₄	—	2	24	no	—
732	C₇×D₄	—	2	4	no	—
733	C₇×D₄	—	2	12	no	—
734	C₇×D₄	—	2	6	no	—
735	C₇×D₄	—	2	12	no	—
736	C₇×D₄	—	2	2	no	—
737	C₇×D₄	—	2	6	no	—
738	C₇×D₄	—	4	6	no	—
739	C₇×D₄	—	4	6	no	—
740	C₇×D₄	—	4	6	no	—
741	C₇×D₄	—	4	6	no	—
742	C₇×D₄	—	4	12	no	—
743	C₇×D₄	C₂×#41	1	12	yes	—
744	C₂×C₄×C₇	—	2	6	no	—
745	C₂×C₄×C₇	—	2	12	no	—
746	C₂×C₄×C₇	—	2	2	no	—
747	C₂×C₄×C₇	—	2	6	no	—
748	C₂×C₄×C₇	—	2	2	no	—
749	C₂×C₄×C₇	—	2	4	no	—
750	C₂×C₄×C₇	—	2	6	no	—
751	C₂×C₄×C₇	—	2	12	no	—
752	C₂×C₄×C₇	—	2	6	no	—
753	C₂×C₄×C₇	—	2	12	no	—
754	C₂×C₄×C₇	—	2	6	no	—
755	C₂×C₄×C₇	—	2	12	no	—
756	C₂×C₄×C₇	—	2	2	no	—
757	C₂×C₄×C₇	—	2	6	no	—
758	C₂×C₄×C₇	—	2	6	no	—
759	C₂×C₄×C₇	—	4	3	no	—
760	C₂×C₄×C₇	—	4	3	no	—
761	C₂×C₄×C₇	—	4	3	no	—
762	C₂×C₄×C₇	—	4	3	no	—
763	C₂×C₄×C₇	—	4	3	no	—
764	C₂×C₄×C₇	—	4	3	no	—
765	C₂×C₄×C₇	—	4	3	no	—
766	C₂×C₄×C₇	—	4	6	no	—
767	C₂×C₄×C₇	—	4	6	no	—
768	C₂×C₄×C₇	—	4	12	no	—
769	C₂×C₄×C₇	—	4	12	no	—
770	C₂×C₄×C₇	C₂×#41	1	12	yes	—
771	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
772	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
773	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
774	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
775	C₂×C₄×C₇	C₂⁵	1	3	yes	—
776	C₂×C₄×C₇	C₂⁵	1	3	yes	—
777	C₂×C₄×C₇	C₂⁵	1	2	yes	—
778	C₂×C₄×C₇	C₂⁵	1	3	yes	—
779	C₂×C₄×C₇	C₂⁵	1	6	yes	—
780	C₂×C₄×C₇	C₂⁵	1	3	yes	—
781	C₂×C₄×C₇	C₂⁵	1	3	yes	—
782	C₂×C₄×C₇	C₂⁵	1	6	yes	—
783	C₂×C₄×C₇	C₂⁵	1	6	yes	—
784	C₂×C₄×C₇	C₂⁵	1	2	yes	—
785	C₂×C₄×C₇	C₂⁵	1	2	yes	—
786	C₂×C₄×C₇	C₂⁵	1	3	yes	—
787	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
788	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
789	C₂×#41	—	2	8	no	—
790	C₂×#41	—	2	16	no	—
791	C₂×#41	C₂³×C₇	1	3	yes	—
792	C₂×#41	C₂³×C₇	1	6	yes	—
793	C₂×#41	C₂³×C₇	1	3	yes	—
794	C₂×#41	C₂³×C₇	1	1	yes	characteristic
795	C₂×#41	C₂³×C₇	1	6	yes	—
796	C₂×#41	C₂³×C₇	1	2	yes	—
797	C₂×#41	C₂³×C₇	1	6	yes	—
798	C₂×#41	C₂³×C₇	1	6	yes	—
799	C₂×#41	C₂³×C₇	1	1	yes	characteristic
800	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
801	C₂²×Q₈	C₂³×C₇	1	2	yes	—
802	C₂²×Q₈	C₂³×C₇	1	3	yes	—
803	C₂²×D₄	C₂³×C₇	1	3	yes	—
804	C₂²×D₄	C₂³×C₇	1	6	yes	—
805	C₂²×D₄	C₂³×C₇	1	6	yes	—
806	C₂²×D₄	C₂³×C₇	1	3	yes	—
807	C₂³×C₄	C₂³×C₇	1	6	yes	—
808	C₂³×C₄	C₂³×C₇	1	3	yes	—
809	C₂³×C₄	C₂³×C₇	1	3	yes	—
810	C₂³×C₄	C₂³×C₇	1	3	yes	—
811	C₄⋊Q₈	C₂³×C₇	1	3	yes	—
812	C₄⋊Q₈	C₂³×C₇	1	3	yes	—
813	C₄⋊Q₈	C₂³×C₇	1	3	yes	—
814	C₄⋊Q₈	C₂³×C₇	1	6	yes	—
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	2	yes	—
820	#126	C₂³×C₇	1	6	yes	—
821	#126	C₂³×C₇	1	6	yes	—
822	#126	C₂³×C₇	1	6	yes	—
823	#126	C₂³×C₇	1	6	yes	—
824	#126	C₂³×C₇	1	6	yes	—
825	#126	C₂³×C₇	1	6	yes	—
826	#126	C₂³×C₇	1	6	yes	—
827	#126	C₂³×C₇	1	12	yes	—
828	#126	C₂³×C₇	1	12	yes	—
829	#126	C₂³×C₇	1	12	yes	—
830	#126	C₂³×C₇	1	12	yes	—
831	#126	C₂³×C₇	1	12	yes	—
832	#125	C₂³×C₇	1	1	yes	characteristic
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	3	yes	—
838	#125	C₂³×C₇	1	6	yes	—
839	#125	C₂³×C₇	1	6	yes	—
840	#125	C₂³×C₇	1	12	yes	—
841	#125	C₂³×C₇	1	12	yes	—
842	#125	C₂³×C₇	1	6	yes	—
843	#125	C₂³×C₇	1	6	yes	—
844	#124	C₂³×C₇	1	1	yes	characteristic
845	#124	C₂³×C₇	1	3	yes	—
846	#124	C₂³×C₇	1	3	yes	—
847	#124	C₂³×C₇	1	6	yes	—
848	#124	C₂³×C₇	1	3	yes	—
849	#124	C₂³×C₇	1	6	yes	—
850	#124	C₂³×C₇	1	6	yes	—
851	#124	C₂³×C₇	1	6	yes	—
852	#124	C₂³×C₇	1	12	yes	—
853	#124	C₂³×C₇	1	12	yes	—
854	#124	C₂³×C₇	1	6	yes	—
855	#124	C₂³×C₇	1	6	yes	—
856	#123	C₂³×C₇	1	2	yes	—
857	#123	C₂³×C₇	1	6	yes	—
858	#123	C₂³×C₇	1	6	yes	—
859	#123	C₂³×C₇	1	6	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	6	yes	—
864	#123	C₂³×C₇	1	12	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	12	yes	—
869	#123	C₂³×C₇	1	12	yes	—
870	#123	C₂³×C₇	1	12	yes	—
871	#123	C₂³×C₇	1	12	yes	—
872	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
873	C₂²⋊Q₈	C₂³×C₇	1	3	yes	—
874	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
875	C₂²⋊Q₈	C₂³×C₇	1	3	yes	—
876	C₂²⋊Q₈	C₂³×C₇	1	3	yes	—
877	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
878	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
879	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
880	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
881	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
882	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
883	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
884	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
885	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
886	C₂²⋊Q₈	C₂³×C₇	1	6	yes	—
887	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
888	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
889	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
890	C₂²⋊Q₈	C₂³×C₇	1	12	yes	—
891	#121	C₂³×C₇	1	1	yes	characteristic
892	#121	C₂³×C₇	1	3	yes	—
893	#121	C₂³×C₇	1	6	yes	—
894	#121	C₂³×C₇	1	6	yes	—
895	#121	C₂³×C₇	1	3	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	6	yes	—
901	#121	C₂³×C₇	1	6	yes	—
902	#121	C₂³×C₇	1	6	yes	—
903	#121	C₂³×C₇	1	6	yes	—
904	#121	C₂³×C₇	1	6	yes	—
905	#121	C₂³×C₇	1	6	yes	—
906	#121	C₂³×C₇	1	12	yes	—
907	#121	C₂³×C₇	1	12	yes	—
908	#121	C₂³×C₇	1	12	yes	—
909	#121	C₂³×C₇	1	12	yes	—
910	#120	C₂³×C₇	1	12	yes	—
911	#120	C₂³×C₇	1	12	yes	—
912	#120	C₂³×C₇	1	12	yes	—
913	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
914	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
915	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
916	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
917	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
918	C₄×Q₈	C₂³×C₇	1	3	yes	—
919	C₄×Q₈	C₂³×C₇	1	3	yes	—
920	C₄×Q₈	C₂³×C₇	1	3	yes	—
921	C₄×Q₈	C₂³×C₇	1	3	yes	—
922	C₄×Q₈	C₂³×C₇	1	3	yes	—
923	C₄×Q₈	C₂³×C₇	1	3	yes	—
924	C₄×Q₈	C₂³×C₇	1	6	yes	—
925	C₄×Q₈	C₂³×C₇	1	3	yes	—
926	C₄×Q₈	C₂³×C₇	1	6	yes	—
927	C₄×Q₈	C₂³×C₇	1	2	yes	—
928	C₄×Q₈	C₂³×C₇	1	2	yes	—
929	C₄×Q₈	C₂³×C₇	1	6	yes	—
930	C₄×Q₈	C₂³×C₇	1	6	yes	—
931	C₄×Q₈	C₂³×C₇	1	6	yes	—
932	C₄×Q₈	C₂³×C₇	1	6	yes	—
933	C₄×Q₈	C₂³×C₇	1	6	yes	—
934	C₄×Q₈	C₂³×C₇	1	6	yes	—
935	C₄×Q₈	C₂³×C₇	1	6	yes	—
936	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
937	C₄×D₄	C₂³×C₇	1	2	yes	—
938	C₄×D₄	C₂³×C₇	1	3	yes	—
939	C₄×D₄	C₂³×C₇	1	3	yes	—
940	C₄×D₄	C₂³×C₇	1	3	yes	—
941	C₄×D₄	C₂³×C₇	1	3	yes	—
942	C₄×D₄	C₂³×C₇	1	6	yes	—
943	C₄×D₄	C₂³×C₇	1	3	yes	—
944	C₄×D₄	C₂³×C₇	1	6	yes	—
945	C₄×D₄	C₂³×C₇	1	6	yes	—
946	C₄×D₄	C₂³×C₇	1	3	yes	—
947	C₄×D₄	C₂³×C₇	1	3	yes	—
948	C₄×D₄	C₂³×C₇	1	6	yes	—
949	C₄×D₄	C₂³×C₇	1	3	yes	—
950	C₄×D₄	C₂³×C₇	1	6	yes	—
951	C₄×D₄	C₂³×C₇	1	3	yes	—
952	C₄×D₄	C₂³×C₇	1	6	yes	—
953	C₄×D₄	C₂³×C₇	1	6	yes	—
954	C₄×D₄	C₂³×C₇	1	6	yes	—
955	C₄×D₄	C₂³×C₇	1	3	yes	—
956	C₄×D₄	C₂³×C₇	1	6	yes	—
957	C₄×D₄	C₂³×C₇	1	6	yes	—
958	C₄×D₄	C₂³×C₇	1	6	yes	—
959	C₄×D₄	C₂³×C₇	1	6	yes	—
960	C₄×D₄	C₂³×C₇	1	3	yes	—
961	C₄×D₄	C₂³×C₇	1	6	yes	—
962	C₄×D₄	C₂³×C₇	1	6	yes	—
963	C₄×D₄	C₂³×C₇	1	6	yes	—
964	C₄×D₄	C₂³×C₇	1	12	yes	—
965	C₄×D₄	C₂³×C₇	1	12	yes	—
966	C₄×D₄	C₂³×C₇	1	6	yes	—
967	C₄×D₄	C₂³×C₇	1	6	yes	—
968	C₄×D₄	C₂³×C₇	1	12	yes	—
969	C₄×D₄	C₂³×C₇	1	6	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	12	yes	—
974	C₄×D₄	C₂³×C₇	1	12	yes	—
975	C₄×D₄	C₂³×C₇	1	12	yes	—
976	C₄×D₄	C₂³×C₇	1	6	yes	—
977	C₄×D₄	C₂³×C₇	1	6	yes	—
978	#117	C₂³×C₇	1	3	yes	—
979	#117	C₂³×C₇	1	2	yes	—
980	#117	C₂³×C₇	1	6	yes	—
981	#117	C₂³×C₇	1	3	yes	—
982	#117	C₂³×C₇	1	6	yes	—
983	#117	C₂³×C₇	1	6	yes	—
984	#117	C₂³×C₇	1	6	yes	—
985	#117	C₂³×C₇	1	6	yes	—
986	#117	C₂³×C₇	1	6	yes	—
987	#117	C₂³×C₇	1	3	yes	—
988	#117	C₂³×C₇	1	3	yes	—
989	#117	C₂³×C₇	1	6	yes	—
990	#117	C₂³×C₇	1	6	yes	—
991	#117	C₂³×C₇	1	6	yes	—
992	#117	C₂³×C₇	1	6	yes	—
993	#117	C₂³×C₇	1	6	yes	—
994	#117	C₂³×C₇	1	6	yes	—
995	#117	C₂³×C₇	1	12	yes	—
996	#117	C₂³×C₇	1	6	yes	—
997	#117	C₂³×C₇	1	6	yes	—
998	#117	C₂³×C₇	1	12	yes	—
999	#117	C₂³×C₇	1	12	yes	—
1000	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1001	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1002	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1003	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1004	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1005	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1006	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1007	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1008	C₂×C₄⋊C₄	C₂³×C₇	1	3	yes	—
1009	C₂×C₄⋊C₄	C₂³×C₇	1	6	yes	—
1010	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1011	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1012	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1013	C₂×C₂²⋊C₄	C₂³×C₇	1	12	yes	—
1014	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1015	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1016	C₂×C₂²⋊C₄	C₂³×C₇	1	6	yes	—
1017	C₂×C₄²	C₂³×C₇	1	3	yes	—
1018	C₂×C₄²	C₂³×C₇	1	3	yes	—
1019	C₂×C₄²	C₂³×C₇	1	6	yes	—
1020	C₂×C₄²	C₂³×C₇	1	12	yes	—
1021	C₂×C₄²	C₂³×C₇	1	3	yes	—
1022	C₂×C₄²	C₂³×C₇	1	3	yes	—
1023	C₂×C₄²	C₂³×C₇	1	3	yes	—
1024	C₂×C₄²	C₂³×C₇	1	3	yes	—
1025	C₂×C₄²	C₂³×C₇	1	3	yes	—
1026	C₂×C₄²	C₂³×C₇	1	3	yes	—
1027	C₂×C₄²	C₂³×C₇	1	3	yes	—
1028	C₂×C₄²	C₂³×C₇	1	3	yes	—
1029	C₂×C₄²	C₂³×C₇	1	3	yes	—
1030	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1031	C₂²×C₇	—	2	1	no	—
1032	C₂²×C₇	—	2	1	no	—
1033	C₂²×C₇	—	2	3	no	—
1034	C₂²×C₇	—	2	3	no	—
1035	C₂²×C₇	—	2	2	no	—
1036	C₂²×C₇	—	2	3	no	—
1037	C₂²×C₇	—	2	6	no	—
1038	C₂²×C₇	—	2	3	no	—
1039	C₂²×C₇	—	2	6	no	—
1040	C₂²×C₇	—	2	6	no	—
1041	C₂²×C₇	—	2	3	no	—
1042	C₂²×C₇	—	2	2	no	—
1043	C₂²×C₇	—	2	2	no	—
1044	C₂²×C₇	—	4	12	no	—
1045	C₂²×C₇	—	8	12	no	—
1046	C₂²×C₇	C₂²×#41	1	6	yes	—
1047	C₂²×C₇	#585	1	2	yes	—
1048	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1049	C₄×C₇	—	2	1	no	—
1050	C₄×C₇	—	2	2	no	—
1051	C₄×C₇	—	2	3	no	—
1052	C₄×C₇	—	2	6	no	—
1053	C₄×C₇	—	2	1	no	—
1054	C₄×C₇	—	2	1	no	—
1055	C₄×C₇	—	2	3	no	—
1056	C₄×C₇	—	2	1	no	—
1057	C₄×C₇	—	2	3	no	—
1058	C₄×C₇	—	2	3	no	—
1059	C₄×C₇	—	2	3	no	—
1060	C₄×C₇	—	2	2	no	—
1061	C₄×C₇	—	2	6	no	—
1062	C₄×C₇	—	2	6	no	—
1063	C₄×C₇	—	2	2	no	—
1064	C₄×C₇	C₂²×#41	1	2	yes	—
1065	C₄×C₇	C₂²×#41	1	6	yes	—
1066	C₄×C₇	#585	1	2	yes	—
1067	C₂⁴	C₂⁴×C₇	1	3	yes	—
1068	C₂⁴	C₂⁴×C₇	1	6	yes	—
1069	#41	—	2	4	no	—
1070	#41	—	2	8	no	—
1071	#41	—	2	12	no	—
1072	#41	—	2	24	no	—
1073	#41	—	2	12	no	—
1074	#41	—	2	24	no	—
1075	#41	—	4	12	no	—
1076	#41	—	4	12	no	—
1077	#41	C₇×#41	1	8	yes	complemented
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	2	8	no	—
1080	C₂×Q₈	—	4	6	no	—
1081	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1082	C₂×Q₈	C₂⁴×C₇	1	3	yes	—
1083	C₂×Q₈	C₂⁴×C₇	1	6	yes	—
1084	C₂×Q₈	C₂⁴×C₇	1	3	yes	—
1085	C₂×Q₈	C₂⁴×C₇	1	6	yes	—
1086	C₂×Q₈	C₂⁴×C₇	1	6	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	—	4	6	no	—
1091	C₂×D₄	—	4	12	no	—
1092	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1093	C₂×D₄	C₂⁴×C₇	1	12	yes	—
1094	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1095	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1096	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1097	C₂×D₄	C₂⁴×C₇	1	3	yes	—
1098	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1099	C₂×D₄	C₂⁴×C₇	1	3	yes	—
1100	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1101	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1102	C₂×D₄	C₂⁴×C₇	1	12	yes	—
1103	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1104	C₂×D₄	C₂⁴×C₇	1	6	yes	—
1105	C₂×D₄	C₂⁴×C₇	1	3	yes	—
1106	C₂²×C₄	—	2	12	no	—
1107	C₂²×C₄	—	2	24	no	—
1108	C₂²×C₄	—	4	6	no	—
1109	C₂²×C₄	—	4	6	no	—
1110	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
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	3	yes	—
1117	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1118	C₂²×C₄	C₂⁴×C₇	1	3	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	6	yes	—
1123	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1124	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1125	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1126	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1127	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1128	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1129	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1130	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1131	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1132	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1133	C₂²×C₄	C₂⁴×C₇	1	6	yes	—
1134	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
1135	C₂²×C₄	C₂⁴×C₇	1	12	yes	—
1136	C₂²×C₄	C₂⁴×C₇	1	3	yes	—
1137	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1138	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1139	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1140	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1141	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1142	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1143	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1144	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1145	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1146	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1147	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1148	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1149	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1150	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1151	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1152	C₄⋊C₄	C₂⁴×C₇	1	3	yes	—
1153	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1154	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1155	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1156	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
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	6	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	6	yes	—
1168	C₄⋊C₄	C₂⁴×C₇	1	6	yes	—
1169	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
1170	C₄⋊C₄	C₂⁴×C₇	1	12	yes	—
1171	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1172	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1173	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1174	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1175	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1176	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1177	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1178	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1179	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1180	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1181	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1182	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1183	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1184	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1185	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1186	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1187	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1188	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1189	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1190	C₂²⋊C₄	C₂⁴×C₇	1	6	yes	—
1191	C₂²⋊C₄	C₂⁴×C₇	1	6	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	6	yes	—
1196	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1197	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1198	C₂²⋊C₄	C₂⁴×C₇	1	12	yes	—
1199	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1200	C₄²	C₂⁴×C₇	1	3	yes	—
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	3	yes	—
1205	C₄²	C₂⁴×C₇	1	3	yes	—
1206	C₄²	C₂⁴×C₇	1	3	yes	—
1207	C₄²	C₂⁴×C₇	1	2	yes	—
1208	C₄²	C₂⁴×C₇	1	3	yes	—
1209	C₄²	C₂⁴×C₇	1	6	yes	—
1210	C₄²	C₂⁴×C₇	1	3	yes	—
1211	C₄²	C₂⁴×C₇	1	3	yes	—
1212	C₄²	C₂⁴×C₇	1	3	yes	—
1213	C₄²	C₂⁴×C₇	1	3	yes	—
1214	C₄²	C₂⁴×C₇	1	3	yes	—
1215	C₄²	C₂⁴×C₇	1	3	yes	—
1216	C₄²	C₂⁴×C₇	1	3	yes	—
1217	C₄²	C₂⁴×C₇	1	12	yes	—
1218	C₄²	C₂⁴×C₇	1	12	yes	—
1219	C₄²	C₂⁴×C₇	1	6	yes	—
1220	C₄²	C₂⁴×C₇	1	6	yes	—
1221	C₂×C₇	—	2	2	no	—
1222	C₂×C₇	—	2	6	no	—
1223	C₂×C₇	—	4	3	no	—
1224	C₂×C₇	—	4	6	no	—
1225	C₂×C₇	—	4	2	no	—
1226	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1227	C₂×C₇	C₂×#585	1	1	yes	characteristic
1228	C₂×C₇	C₂×#585	1	1	yes	characteristic
1229	C₂³	—	2	6	no	—
1230	C₂³	—	2	6	no	—
1231	C₂³	—	2	12	no	—
1232	C₂³	—	4	3	no	—
1233	C₂³	—	4	6	no	—
1234	C₂³	—	4	6	no	—
1235	C₂³	C₂⁵×C₇	1	2	yes	—
1236	C₂³	C₂⁵×C₇	1	3	yes	—
1237	C₂³	C₂⁵×C₇	1	6	yes	—
1238	C₂³	C₂⁵×C₇	1	3	yes	—
1239	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1240	Q₈	—	2	6	no	—
1241	Q₈	—	2	12	no	—
1242	Q₈	—	2	2	no	—
1243	Q₈	—	2	6	no	—
1244	Q₈	—	4	6	no	—
1245	Q₈	—	4	6	no	—
1246	Q₈	C₂×C₇×#41	1	4	yes	—
1247	D₄	—	2	12	no	—
1248	D₄	—	2	24	no	—
1249	D₄	—	2	4	no	—
1250	D₄	—	2	12	no	—
1251	D₄	—	2	6	no	—
1252	D₄	—	2	12	no	—
1253	D₄	—	2	2	no	—
1254	D₄	—	2	6	no	—
1255	D₄	—	4	6	no	—
1256	D₄	—	4	6	no	—
1257	D₄	—	4	6	no	—
1258	D₄	—	4	6	no	—
1259	D₄	—	4	12	no	—
1260	D₄	C₂×C₇×#41	1	12	yes	—
1261	C₂×C₄	—	2	6	no	—
1262	C₂×C₄	—	2	12	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	6	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	6	no	—
1268	C₂×C₄	—	2	12	no	—
1269	C₂×C₄	—	2	6	no	—
1270	C₂×C₄	—	2	12	no	—
1271	C₂×C₄	—	2	6	no	—
1272	C₂×C₄	—	2	12	no	—
1273	C₂×C₄	—	2	2	no	—
1274	C₂×C₄	—	2	6	no	—
1275	C₂×C₄	—	2	6	no	—
1276	C₂×C₄	—	4	3	no	—
1277	C₂×C₄	—	4	3	no	—
1278	C₂×C₄	—	4	3	no	—
1279	C₂×C₄	—	4	3	no	—
1280	C₂×C₄	—	4	3	no	—
1281	C₂×C₄	—	4	3	no	—
1282	C₂×C₄	—	4	3	no	—
1283	C₂×C₄	—	4	6	no	—
1284	C₂×C₄	—	4	6	no	—
1285	C₂×C₄	—	4	12	no	—
1286	C₂×C₄	—	4	12	no	—
1287	C₂×C₄	C₂×C₇×#41	1	12	yes	—
1288	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1289	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1290	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1291	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1292	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1293	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1294	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1295	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1296	C₂×C₄	C₂⁵×C₇	1	6	yes	—
1297	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1298	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1299	C₂×C₄	C₂⁵×C₇	1	6	yes	—
1300	C₂×C₄	C₂⁵×C₇	1	6	yes	—
1301	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1302	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1303	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1304	C₂×C₄	C₂⁵×C₇	1	3	yes	—
1305	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1306	C₇	#62816	1	1	yes	characteristic, direct product factor, Sylow
1307	C₂²	—	2	1	no	—
1308	C₂²	—	2	1	no	—
1309	C₂²	—	2	3	no	—
1310	C₂²	—	2	3	no	—
1311	C₂²	—	2	2	no	—
1312	C₂²	—	2	3	no	—
1313	C₂²	—	2	6	no	—
1314	C₂²	—	2	3	no	—
1315	C₂²	—	2	6	no	—
1316	C₂²	—	2	6	no	—
1317	C₂²	—	2	3	no	—
1318	C₂²	—	2	2	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	4	12	no	—
1321	C₂²	—	8	12	no	—
1322	C₂²	C₂²×C₇×#41	1	6	yes	—
1323	C₂²	C₇×#585	1	2	yes	—
1324	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1325	C₄	—	2	1	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	3	no	—
1328	C₄	—	2	6	no	—
1329	C₄	—	2	1	no	—
1330	C₄	—	2	1	no	—
1331	C₄	—	2	3	no	—
1332	C₄	—	2	1	no	—
1333	C₄	—	2	3	no	—
1334	C₄	—	2	3	no	—
1335	C₄	—	2	3	no	—
1336	C₄	—	2	2	no	—
1337	C₄	—	2	6	no	—
1338	C₄	—	2	6	no	—
1339	C₄	—	2	2	no	—
1340	C₄	C₂²×C₇×#41	1	2	yes	—
1341	C₄	C₂²×C₇×#41	1	6	yes	—
1342	C₄	C₇×#585	1	2	yes	—
1343	C₂	—	2	2	no	—
1344	C₂	—	2	6	no	—
1345	C₂	—	4	3	no	—
1346	C₂	—	4	2	no	—
1347	C₂	—	4	6	no	—
1348	C₂	C₂³×C₇×#41	1	1	yes	characteristic
1349	C₂	C₂×C₇×#585	1	1	yes	characteristic
1350	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
socle	C₂²×C₇	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×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×#3523	C₂	semidirect
3. C₇×#3522	C₂	semidirect
4. C₇×#3521	C₂	semidirect
5. C₇×#3520	C₂	semidirect
6. C₇×#3519	C₂	semidirect
7. C₇×#3518	C₂	semidirect
8. C₇×#3517	C₂	semidirect
9. C₇×#3516	C₂	semidirect
10. C₇×#3515	C₂	semidirect
11. C₇×#3514	C₂	semidirect
12. C₇×#3513	C₂	semidirect
13. C₇×#3480	C₂	semidirect
14. C₇×Q₈×#41	C₂	semidirect
15. C₇×#3475	C₂	semidirect
16. C₇×#3475	C₂	semidirect
17. C₇×D₄×#41	C₂	semidirect
18. C₇×D₄×#41	C₂	semidirect
19. C₇×#3455	C₂	semidirect
20. C₇×#3444	C₂	semidirect
21. C₂×C₇×#529	C₂	semidirect
22. C₇×#3428	C₂	semidirect
23. C₂×C₄×C₇×#41	C₂	semidirect
26. C₇×#559	C₂²	semidirect
27. C₇×#559	C₂²	semidirect
28. C₇×Q₈²	C₂²	semidirect
29. C₇×#557	C₂²	semidirect
30. C₇×#557	C₂²	semidirect
31. C₇×#557	C₂²	semidirect
32. C₇×#556	C₂²	semidirect
33. C₇×#556	C₂²	semidirect
34. C₇×#556	C₂²	semidirect
35. C₇×#556	C₂²	semidirect
36. C₇×#555	C₂²	semidirect
37. C₇×#555	C₂²	semidirect
38. C₇×#554	C₂²	semidirect
39. C₇×#554	C₂²	semidirect
40. C₇×#554	C₂²	semidirect
41. C₇×#554	C₂²	semidirect
42. C₇×#553	C₂²	semidirect
43. C₇×#553	C₂²	semidirect
44. C₇×#553	C₂²	semidirect
45. C₇×#553	C₂²	semidirect
46. C₇×#553	C₂²	semidirect
47. C₇×#552	C₂²	semidirect
48. C₇×#552	C₂²	semidirect
49. C₇×#552	C₂²	semidirect
50. C₇×#552	C₂²	semidirect
51. C₇×#552	C₂²	semidirect
52. C₇×#551	C₂²	semidirect
53. C₇×#551	C₂²	semidirect
54. C₇×#551	C₂²	semidirect
55. C₇×#550	C₂²	semidirect
56. C₇×#550	C₂²	semidirect
57. C₇×#550	C₂²	semidirect
58. C₇×D₄×Q₈	C₂²	semidirect
59. C₇×D₄×Q₈	C₂²	semidirect
60. C₇×D₄×Q₈	C₂²	semidirect
61. C₇×#548	C₂²	semidirect
62. C₇×#548	C₂²	semidirect
63. C₇×#548	C₂²	semidirect
64. C₇×#548	C₂²	semidirect
65. C₇×#547	C₂²	semidirect
66. C₇×#547	C₂²	semidirect
67. C₇×#547	C₂²	semidirect
68. C₇×#547	C₂²	semidirect
69. C₇×#546	C₂²	semidirect
70. C₇×#546	C₂²	semidirect
71. C₇×#546	C₂²	semidirect
72. C₇×#546	C₂²	semidirect
73. C₇×#546	C₂²	semidirect
74. C₇×D₄²	C₂²	semidirect
75. C₇×D₄²	C₂²	semidirect
76. C₇×#542	C₂²	semidirect
77. C₇×#542	C₂²	semidirect
78. C₇×#542	C₂²	semidirect
79. C₇×#542	C₂²	semidirect
80. C₇×#541	C₂²	semidirect
81. C₇×#541	C₂²	semidirect
82. C₇×#540	C₂²	semidirect
83. C₇×#540	C₂²	semidirect
84. C₇×#539	C₂²	semidirect
85. C₇×#539	C₂²	semidirect
86. C₇×#538	C₂²	semidirect
87. C₇×#538	C₂²	semidirect
88. C₇×#533	C₂²	semidirect
89. C₇×#533	C₂²	semidirect
90. C₇×#533	C₂²	semidirect
91. C₇×#533	C₂²	semidirect
92. C₇×#532	C₂²	semidirect
93. C₇×#532	C₂²	semidirect
94. C₇×#532	C₂²	semidirect
95. C₇×#532	C₂²	semidirect
98. C₇×#529	C₂²	semidirect
99. C₇×#529	C₂²	semidirect
100. C₇×#529	C₂²	semidirect
101. C₇×#529	C₂²	semidirect
102. C₇×#529	C₂²	semidirect
103. C₇×#529	C₂²	semidirect
104. C₇×#529	C₂²	semidirect
105. C₇×#529	C₂²	semidirect
106. C₇×#529	C₂²	semidirect
107. C₇×#529	C₂²	semidirect
108. C₇×#529	C₂²	semidirect
109. C₇×#529	C₂²	semidirect
110. C₇×#529	C₂²	semidirect
111. C₇×#529	C₂²	semidirect
112. C₇×#529	C₂²	semidirect
113. C₇×#529	C₂²	semidirect
114. C₇×#529	C₂²	semidirect
115. C₂×C₇×#126	C₂²	semidirect
116. C₂×C₇×#125	C₂²	semidirect
117. C₂×C₇×#124	C₂²	semidirect
118. C₇×#525	C₂²	semidirect
119. C₇×#525	C₂²	semidirect
120. C₇×#525	C₂²	semidirect
121. C₇×#525	C₂²	semidirect
122. C₇×#525	C₂²	semidirect
123. C₂×C₇×#123	C₂²	semidirect
124. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
126. C₇×#520	C₂²	semidirect
127. C₇×#520	C₂²	semidirect
128. C₇×#520	C₂²	semidirect
129. C₇×#520	C₂²	semidirect
130. C₇×#519	C₂²	semidirect
131. C₇×#519	C₂²	semidirect
132. C₇×#518	C₂²	semidirect
133. C₇×#518	C₂²	semidirect
137. C₄×C₇×#41	C₂²	semidirect
138. C₄×C₇×#41	C₂²	semidirect
139. C₄×C₇×#41	C₂²	semidirect
140. C₄×C₇×#41	C₂²	semidirect
141. C₄×C₇×#41	C₂²	semidirect
142. C₄×C₇×#41	C₂²	semidirect
143. C₄×C₇×#41	C₂²	semidirect
144. C₄×C₇×#41	C₂²	semidirect
145. C₄×C₇×#41	C₂²	semidirect
146. C₄×C₇×#41	C₂²	semidirect
147. C₂×C₄×C₇×Q₈	C₂²	semidirect
148. C₂×C₄×C₇×Q₈	C₂²	semidirect
149. C₂×C₄×C₇×Q₈	C₂²	semidirect
150. C₂×C₄×C₇×D₄	C₂²	semidirect
151. C₂×C₄×C₇×D₄	C₂²	semidirect
152. C₂×C₄×C₇×D₄	C₂²	semidirect
153. C₂×C₄×C₇×D₄	C₂²	semidirect
154. C₂×C₇×#117	C₂²	semidirect
155. C₂×C₇×#117	C₂²	semidirect
156. C₂×C₇×#117	C₂²	semidirect
157. C₂²×C₄²×C₇	C₂²	semidirect
158. #62816	C₇	direct (N × H)
401. #3524	C₂×C₇	semidirect
402. #3523	C₂×C₇	semidirect
403. #3522	C₂×C₇	semidirect
404. #3521	C₂×C₇	semidirect
405. #3520	C₂×C₇	semidirect
406. #3519	C₂×C₇	semidirect
407. #3518	C₂×C₇	semidirect
408. #3517	C₂×C₇	semidirect
409. #3516	C₂×C₇	semidirect
410. #3515	C₂×C₇	semidirect
411. #3514	C₂×C₇	semidirect
412. #3513	C₂×C₇	semidirect
413. #3480	C₂×C₇	semidirect
414. Q₈×#41	C₂×C₇	semidirect
415. #3475	C₂×C₇	semidirect
416. #3475	C₂×C₇	semidirect
417. D₄×#41	C₂×C₇	semidirect
418. D₄×#41	C₂×C₇	semidirect
419. #3455	C₂×C₇	semidirect
420. #3444	C₂×C₇	semidirect
421. C₂×#529	C₂×C₇	semidirect
422. #3428	C₂×C₇	semidirect
423. C₂×C₄×#41	C₂×C₇	semidirect
434. C₇×#41	#41	semidirect
580. #559	C₂²×C₇	semidirect
581. #559	C₂²×C₇	semidirect
582. Q₈²	C₂²×C₇	semidirect
583. #557	C₂²×C₇	semidirect
584. #557	C₂²×C₇	semidirect
585. #557	C₂²×C₇	semidirect
586. #556	C₂²×C₇	semidirect
587. #556	C₂²×C₇	semidirect
588. #556	C₂²×C₇	semidirect
589. #556	C₂²×C₇	semidirect
590. #555	C₂²×C₇	semidirect
591. #555	C₂²×C₇	semidirect
592. #554	C₂²×C₇	semidirect
593. #554	C₂²×C₇	semidirect
594. #554	C₂²×C₇	semidirect
595. #554	C₂²×C₇	semidirect
596. #553	C₂²×C₇	semidirect
597. #553	C₂²×C₇	semidirect
598. #553	C₂²×C₇	semidirect
599. #553	C₂²×C₇	semidirect
600. #553	C₂²×C₇	semidirect
601. #552	C₂²×C₇	semidirect
602. #552	C₂²×C₇	semidirect
603. #552	C₂²×C₇	semidirect
604. #552	C₂²×C₇	semidirect
605. #552	C₂²×C₇	semidirect
606. #551	C₂²×C₇	semidirect
607. #551	C₂²×C₇	semidirect
608. #551	C₂²×C₇	semidirect
609. #550	C₂²×C₇	semidirect
610. #550	C₂²×C₇	semidirect
611. #550	C₂²×C₇	semidirect
612. D₄×Q₈	C₂²×C₇	semidirect
613. D₄×Q₈	C₂²×C₇	semidirect
614. D₄×Q₈	C₂²×C₇	semidirect
615. #548	C₂²×C₇	semidirect
616. #548	C₂²×C₇	semidirect
617. #548	C₂²×C₇	semidirect
618. #548	C₂²×C₇	semidirect
619. #547	C₂²×C₇	semidirect
620. #547	C₂²×C₇	semidirect
621. #547	C₂²×C₇	semidirect
622. #547	C₂²×C₇	semidirect
623. #546	C₂²×C₇	semidirect
624. #546	C₂²×C₇	semidirect
625. #546	C₂²×C₇	semidirect
626. #546	C₂²×C₇	semidirect
627. #546	C₂²×C₇	semidirect
628. D₄²	C₂²×C₇	semidirect
629. D₄²	C₂²×C₇	semidirect
630. #542	C₂²×C₇	semidirect
631. #542	C₂²×C₇	semidirect
632. #542	C₂²×C₇	semidirect
633. #542	C₂²×C₇	semidirect
634. #541	C₂²×C₇	semidirect
635. #541	C₂²×C₇	semidirect
636. #540	C₂²×C₇	semidirect
637. #540	C₂²×C₇	semidirect
638. #539	C₂²×C₇	semidirect
639. #539	C₂²×C₇	semidirect
640. #538	C₂²×C₇	semidirect
641. #538	C₂²×C₇	semidirect
642. #533	C₂²×C₇	semidirect
643. #533	C₂²×C₇	semidirect
644. #533	C₂²×C₇	semidirect
645. #533	C₂²×C₇	semidirect
646. #532	C₂²×C₇	semidirect
647. #532	C₂²×C₇	semidirect
648. #532	C₂²×C₇	semidirect
649. #532	C₂²×C₇	semidirect
652. #529	C₂²×C₇	semidirect
653. #529	C₂²×C₇	semidirect
654. #529	C₂²×C₇	semidirect
655. #529	C₂²×C₇	semidirect
656. #529	C₂²×C₇	semidirect
657. #529	C₂²×C₇	semidirect
658. #529	C₂²×C₇	semidirect
659. #529	C₂²×C₇	semidirect
660. #529	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. C₂×#126	C₂²×C₇	semidirect
670. C₂×#125	C₂²×C₇	semidirect
671. C₂×#124	C₂²×C₇	semidirect
672. #525	C₂²×C₇	semidirect
673. #525	C₂²×C₇	semidirect
674. #525	C₂²×C₇	semidirect
675. #525	C₂²×C₇	semidirect
676. #525	C₂²×C₇	semidirect
677. C₂×#123	C₂²×C₇	semidirect
678. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
680. #520	C₂²×C₇	semidirect
681. #520	C₂²×C₇	semidirect
682. #520	C₂²×C₇	semidirect
683. #520	C₂²×C₇	semidirect
684. #519	C₂²×C₇	semidirect
685. #519	C₂²×C₇	semidirect
686. #518	C₂²×C₇	semidirect
687. #518	C₂²×C₇	semidirect
691. C₄×#41	C₂²×C₇	semidirect
692. C₄×#41	C₂²×C₇	semidirect
693. C₄×#41	C₂²×C₇	semidirect
694. C₄×#41	C₂²×C₇	semidirect
695. C₄×#41	C₂²×C₇	semidirect
696. C₄×#41	C₂²×C₇	semidirect
697. C₄×#41	C₂²×C₇	semidirect
698. C₄×#41	C₂²×C₇	semidirect
699. C₄×#41	C₂²×C₇	semidirect
700. C₄×#41	C₂²×C₇	semidirect
701. C₂×C₄×Q₈	C₂²×C₇	semidirect
702. C₂×C₄×Q₈	C₂²×C₇	semidirect
703. C₂×C₄×Q₈	C₂²×C₇	semidirect
704. C₂×C₄×D₄	C₂²×C₇	semidirect
705. C₂×C₄×D₄	C₂²×C₇	semidirect
706. C₂×C₄×D₄	C₂²×C₇	semidirect
707. C₂×C₄×D₄	C₂²×C₇	semidirect
708. C₂×#117	C₂²×C₇	semidirect
709. C₂×#117	C₂²×C₇	semidirect
710. C₂×#117	C₂²×C₇	semidirect
711. C₂²×C₄²	C₂²×C₇	semidirect
1077. #41	C₇×#41	semidirect
1306. C₇	#62816	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×#3523	2
C₇×#3522	2
C₇×#3521	2
C₇×#3520	2
C₇×#3519	2
C₇×#3518	2
C₇×#3517	2
C₇×#3516	2
C₇×#3515	2
C₇×#3514	2
C₇×#3513	2
C₇×#3480	2
C₇×Q₈×#41	2
C₇×#3475	2
C₇×D₄×#41	2
C₇×#3455	2
C₇×#3444	2
C₂×C₇×#529	2
C₇×#3428	2
C₂×C₄×C₇×#41	2
#62816	7

Subgroups — C7×#62816 #13240032

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62816 #13240032