Subgroups — C₇×#61481 #13238697

Order 1792.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3523	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3519	C₂	1	1	yes	maximal, characteristic
3	C₇×#3392	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3340	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3337	C₂	1	2	yes	maximal, complemented
9	C₇×#3329	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3324	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3320	C₂	1	2	yes	maximal, complemented
12	C₇×#3310	C₂	1	2	yes	maximal, complemented
13	C₇×D₄×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×D₄×SD₁₆	C₂	1	2	yes	maximal, complemented
15	C₇×#3174	C₂	1	2	yes	maximal, complemented
16	C₇×#3167	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3126	C₂	1	2	yes	maximal, complemented
18	C₇×#3123	C₂	1	2	yes	maximal, complemented
19	C₇×#3112	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3110	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2949	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×C₇×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
25	C₂²×C₇×SD₁₆	C₂²	1	2	yes	—
26	C₇×#557	—	2	1	no	—
27	C₇×#557	C₂²	1	1	yes	characteristic, complemented
28	C₇×#557	C₂²	1	1	yes	characteristic, complemented
29	C₇×#556	—	2	1	no	—
30	C₇×#556	C₂²	1	1	yes	characteristic, complemented
31	C₇×#555	C₂²	1	1	yes	characteristic
32	C₇×#554	C₂²	1	1	yes	characteristic
33	C₇×#553	—	2	1	no	—
34	C₇×#553	C₂²	1	2	yes	—
35	C₇×#552	—	2	2	no	—
36	C₇×#552	C₂²	1	2	yes	complemented
37	C₇×#550	C₂²	1	1	yes	characteristic
38	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
39	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₇×#546	—	2	1	no	—
41	C₇×#546	—	2	2	no	—
42	C₇×D₄²	C₂²	1	2	yes	—
43	C₇×D₄²	C₂²	1	1	yes	characteristic
44	C₇×#541	—	2	2	no	—
45	C₇×#541	C₂²	1	2	yes	complemented
46	C₇×#540	C₂²	1	2	yes	—
47	C₇×#538	—	2	2	no	—
48	C₇×#533	—	2	1	no	—
49	C₇×#533	C₂²	1	1	yes	characteristic, complemented
50	C₇×#532	C₂²	1	1	yes	characteristic
51	C₇×#529	—	2	1	no	—
52	C₇×#529	C₂²	1	1	yes	characteristic
53	C₇×#525	—	2	1	no	—
54	C₂×C₇×#121	—	2	1	no	—
55	C₇×#519	C₂²	1	2	yes	complemented
56	C₇×#518	C₂²	1	2	yes	—
57	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
59	C₇×#499	C₂²	1	2	yes	complemented
60	C₇×#498	C₂²	1	1	yes	characteristic, complemented
61	C₇×#492	C₂²	1	1	yes	characteristic, complemented
62	C₇×#492	C₂²	1	2	yes	complemented
63	C₇×#491	C₂²	1	2	yes	complemented
64	C₇×#490	C₂²	1	2	yes	complemented
65	C₇×#487	C₂²	1	1	yes	characteristic, complemented
66	C₇×#486	C₂²	1	1	yes	characteristic, complemented
67	C₇×#485	C₂²	1	2	yes	complemented
68	C₇×#485	C₂²	1	2	yes	complemented
69	C₇×#484	C₂²	1	2	yes	complemented
70	C₇×#482	C₂²	1	2	yes	complemented
71	C₇×#482	C₂²	1	2	yes	complemented
72	C₇×#480	C₂²	1	2	yes	complemented
73	C₇×#479	C₂²	1	2	yes	complemented
74	C₇×#479	C₂²	1	2	yes	complemented
75	C₇×#478	C₂²	1	2	yes	—
76	C₇×#478	C₂²	1	2	yes	complemented
77	C₇×#477	C₂²	1	1	yes	characteristic, complemented
78	C₇×#477	C₂²	1	1	yes	characteristic, complemented
79	C₇×#474	C₂²	1	1	yes	characteristic
80	C₇×#474	C₂²	1	1	yes	characteristic, complemented
81	C₇×#468	C₂²	1	2	yes	complemented
82	C₇×#468	C₂²	1	2	yes	complemented
83	C₇×#465	C₂²	1	2	yes	complemented
84	C₇×#465	C₂²	1	2	yes	complemented
85	C₇×#465	C₂²	1	2	yes	complemented
86	C₇×#465	C₂²	1	2	yes	complemented
87	C₇×#461	C₂²	1	1	yes	characteristic
88	C₇×#461	C₂²	1	2	yes	—
89	C₇×#461	C₂²	1	2	yes	complemented
90	C₇×#461	C₂²	1	1	yes	characteristic, complemented
91	C₇×#460	C₂²	1	1	yes	characteristic, complemented
92	C₇×#460	C₂²	1	2	yes	complemented
93	C₇×#460	C₂²	1	2	yes	complemented
94	C₇×#460	C₂²	1	1	yes	characteristic, complemented
95	C₇×#450	C₂²	1	2	yes	—
96	C₇×#450	C₂²	1	2	yes	—
97	C₇×#450	C₂²	1	2	yes	—
98	C₇×#448	C₂²	1	2	yes	complemented
99	C₇×#448	C₂²	1	2	yes	complemented
100	C₇×#448	C₂²	1	2	yes	complemented
101	C₇×#446	C₂²	1	1	yes	characteristic, complemented
102	C₇×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₇×#440	C₂²	1	2	yes	—
104	C₇×#440	C₂²	1	2	yes	—
105	C₇×#440	C₂²	1	2	yes	complemented
106	C₇×#440	C₂²	1	2	yes	complemented
107	C₇×#440	C₂²	1	2	yes	complemented
108	C₇×#440	C₂²	1	2	yes	complemented
109	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
110	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
111	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₇×SD₁₆	C₂²	1	2	yes	—
114	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
115	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
116	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
121	C₇×#436	C₂²	1	1	yes	characteristic, complemented
122	C₇×#435	C₂²	1	2	yes	complemented
123	C₇×C₈×D₄	C₂²	1	2	yes	complemented
124	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
125	C₇×#433	C₂²	1	2	yes	complemented
126	C₇×#432	C₂²	1	1	yes	characteristic, complemented
127	C₇×#427	C₂²	1	2	yes	complemented
128	C₂×C₇×#106	C₂²	1	1	yes	characteristic, complemented
129	C₇×#419	C₂²	1	2	yes	complemented
130	C₇×#418	C₂²	1	2	yes	—
131	C₂×C₇×#103	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₇×#102	C₂²	1	1	yes	characteristic
133	C₇×#405	C₂²	1	2	yes	complemented
134	C₂×C₄×C₇×C₈	C₂²	1	1	yes	characteristic, complemented
135	#61481	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	1	no	—
137	C₂×C₇×#41	—	2	1	no	—
138	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
139	C₂²×C₇×Q₈	C₂³	1	2	yes	—
140	C₂²×C₇×D₄	—	2	1	no	—
141	C₂²×C₇×D₄	—	2	2	no	—
142	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
143	C₂²×C₇×D₄	C₂³	1	2	yes	—
144	C₂³×C₄×C₇	—	2	1	no	—
145	C₂×C₇×SD₁₆	—	2	4	no	—
146	C₂×C₇×SD₁₆	—	2	8	no	—
147	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₇×M₁₆	C₂³	1	2	yes	—
158	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
159	C₂²×C₇×C₈	C₂³	1	2	yes	—
160	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
161	C₇×C₄⋊Q₈	—	2	1	no	—
162	C₇×C₄⋊Q₈	—	2	1	no	—
163	C₇×C₄⋊Q₈	—	2	2	no	—
164	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₇×#127	C₂³	1	1	yes	characteristic
169	C₇×#127	C₂³	1	2	yes	—
170	C₇×#126	—	2	2	no	—
171	C₇×#126	—	2	2	no	—
172	C₇×#126	—	2	2	no	—
173	C₇×#126	—	2	2	no	—
174	C₇×#126	—	2	2	no	—
175	C₇×#126	D₄	1	2	yes	—
176	C₇×#125	—	2	1	no	—
177	C₇×#125	—	2	2	no	—
178	C₇×#125	—	2	2	no	—
179	C₇×#125	—	2	2	no	—
180	C₇×#125	—	2	2	no	—
181	C₇×#125	—	2	2	no	—
182	C₇×#125	—	2	1	no	—
183	C₇×#125	D₄	1	1	yes	characteristic
184	C₇×#125	C₂³	1	2	yes	—
185	C₇×#125	C₂³	1	2	yes	—
186	C₇×#124	—	2	1	no	—
187	C₇×#124	—	2	2	no	—
188	C₇×#124	—	2	1	no	—
189	C₇×#124	D₄	1	1	yes	characteristic
190	C₇×#123	—	2	2	no	—
191	C₇×#123	—	2	2	no	—
192	C₇×#123	—	2	2	no	—
193	C₇×#123	—	2	2	no	—
194	C₇×#123	D₄	1	2	yes	—
195	C₇×C₂²⋊Q₈	—	2	1	no	—
196	C₇×C₂²⋊Q₈	—	2	1	no	—
197	C₇×C₂²⋊Q₈	—	2	2	no	—
198	C₇×C₂²⋊Q₈	—	2	2	no	—
199	C₇×C₂²⋊Q₈	—	2	2	no	—
200	C₇×C₂²⋊Q₈	—	2	2	no	—
201	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
202	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₇×#121	—	2	2	no	—
206	C₇×#121	—	2	1	no	—
207	C₇×#121	—	2	1	no	—
208	C₇×#121	—	2	1	no	—
209	C₇×#121	—	2	1	no	—
210	C₇×#121	—	2	2	no	—
211	C₇×#121	—	2	2	no	—
212	C₇×#121	—	2	2	no	—
213	C₇×#121	—	2	2	no	—
214	C₇×#121	D₄	1	1	yes	characteristic
215	C₇×#121	C₂³	1	2	yes	—
216	C₇×#121	C₂³	1	2	yes	—
217	C₇×#121	C₂³	1	2	yes	—
218	C₇×#120	—	2	2	no	—
219	C₇×#120	—	2	2	no	—
220	C₇×#120	—	2	2	no	—
221	C₄×C₇×Q₈	—	2	1	no	—
222	C₄×C₇×Q₈	—	2	2	no	—
223	C₄×C₇×Q₈	—	2	2	no	—
224	C₄×C₇×Q₈	—	2	1	no	—
225	C₄×C₇×Q₈	—	2	1	no	—
226	C₄×C₇×Q₈	—	2	1	no	—
227	C₄×C₇×Q₈	—	2	1	no	—
228	C₄×C₇×Q₈	—	2	1	no	—
229	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₇×Q₈	C₂³	1	2	yes	—
232	C₄×C₇×Q₈	C₂³	1	2	yes	—
233	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₇×Q₈	C₂³	1	2	yes	—
236	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₇×D₄	—	2	2	no	—
238	C₄×C₇×D₄	—	2	1	no	—
239	C₄×C₇×D₄	—	2	2	no	—
240	C₄×C₇×D₄	—	2	2	no	—
241	C₄×C₇×D₄	—	2	2	no	—
242	C₄×C₇×D₄	—	2	1	no	—
243	C₄×C₇×D₄	—	2	1	no	—
244	C₄×C₇×D₄	—	2	1	no	—
245	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
246	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
247	C₄×C₇×D₄	C₂³	1	2	yes	—
248	C₄×C₇×D₄	C₂³	1	2	yes	—
249	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
250	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
251	C₄×C₇×D₄	C₂³	1	2	yes	—
252	C₄×C₇×D₄	C₂³	1	2	yes	—
253	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
254	C₇×#117	—	2	1	no	—
255	C₇×#117	—	2	1	no	—
256	C₇×#117	—	2	2	no	—
257	C₇×#117	—	2	2	no	—
258	C₇×#117	—	2	2	no	—
259	C₇×#117	C₂³	1	2	yes	—
260	C₇×#117	C₂³	1	2	yes	—
261	C₇×#117	C₂³	1	2	yes	—
262	C₂×C₇×C₄⋊C₄	—	2	1	no	—
263	C₂×C₇×C₄⋊C₄	—	2	1	no	—
264	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
268	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
269	C₂×C₄²×C₇	—	2	1	no	—
270	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
271	C₇×#107	C₂³	1	2	yes	—
272	C₇×#107	C₂³	1	2	yes	—
273	C₇×#107	C₂³	1	2	yes	—
274	C₇×#107	C₂³	1	2	yes	—
275	C₇×#106	C₂³	1	2	yes	—
276	C₇×#106	C₂³	1	1	yes	characteristic
277	C₇×#106	C₂³	1	1	yes	characteristic
278	C₇×#106	C₂³	1	2	yes	—
279	C₇×#106	C₂³	1	1	yes	characteristic
280	C₇×#106	C₂³	1	1	yes	characteristic
281	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₇×C₄⋊C₈	C₂³	1	2	yes	—
284	C₇×C₄⋊C₈	C₂³	1	2	yes	—
285	C₇×#103	C₂³	1	1	yes	characteristic
286	C₇×#103	C₂³	1	2	yes	—
287	C₇×#103	C₂³	1	2	yes	—
288	C₇×#103	C₂³	1	2	yes	—
289	C₇×#103	C₂³	1	1	yes	characteristic
290	C₇×#103	C₂³	1	2	yes	—
291	C₇×#103	C₂³	1	2	yes	—
292	C₇×#103	C₂³	1	2	yes	—
293	C₇×#103	C₂³	1	1	yes	characteristic
294	C₇×#103	C₂³	1	1	yes	characteristic
295	C₇×#102	C₂³	1	1	yes	characteristic
296	C₇×#102	C₂³	1	2	yes	—
297	C₇×#102	C₂³	1	2	yes	—
298	C₇×#102	C₂³	1	2	yes	—
299	C₇×#102	C₂³	1	1	yes	characteristic
300	C₇×#102	C₂³	1	2	yes	—
301	C₇×#102	C₂³	1	2	yes	—
302	C₇×#102	C₂³	1	2	yes	—
303	C₇×#102	C₂³	1	1	yes	characteristic
304	C₇×#102	C₂³	1	1	yes	characteristic
305	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₇×#97	C₂³	1	2	yes	—
309	C₇×#97	C₂³	1	2	yes	—
310	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
311	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
312	C₄×C₇×C₈	C₂³	1	2	yes	—
313	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
314	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
315	#3523	C₂×C₇	1	1	yes	characteristic, complemented
316	#3519	C₂×C₇	1	1	yes	characteristic
317	#3392	C₂×C₇	1	1	yes	characteristic, complemented
318	#3381	C₂×C₇	1	1	yes	characteristic, complemented
319	#3372	C₂×C₇	1	1	yes	characteristic, complemented
320	#3368	C₂×C₇	1	1	yes	characteristic, complemented
321	#3340	C₂×C₇	1	1	yes	characteristic, complemented
322	#3337	C₂×C₇	1	2	yes	complemented
323	#3329	C₂×C₇	1	1	yes	characteristic, complemented
324	#3324	C₂×C₇	1	1	yes	characteristic, complemented
325	#3320	C₂×C₇	1	2	yes	complemented
326	#3310	C₂×C₇	1	2	yes	complemented
327	D₄×SD₁₆	C₂×C₇	1	2	yes	complemented
328	D₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
329	#3174	C₂×C₇	1	2	yes	complemented
330	#3167	C₂×C₇	1	1	yes	characteristic, complemented
331	#3126	C₂×C₇	1	2	yes	complemented
332	#3123	C₂×C₇	1	2	yes	complemented
333	#3112	C₂×C₇	1	1	yes	characteristic, complemented
334	#3110	C₂×C₇	1	1	yes	characteristic, complemented
335	#2966	C₂×C₇	1	1	yes	characteristic, complemented
336	#2949	C₂×C₇	1	2	yes	complemented
337	C₂×C₄×SD₁₆	C₂×C₇	1	1	yes	characteristic, complemented
338	C₂⁴×C₇	—	2	1	no	—
339	C₂⁴×C₇	—	2	2	no	—
340	C₇×#41	—	8	2	no	—
341	C₇×#41	—	8	2	no	—
342	C₂×C₇×Q₈	—	2	1	no	—
343	C₂×C₇×Q₈	—	2	2	no	—
344	C₂×C₇×Q₈	—	2	1	no	—
345	C₂×C₇×Q₈	—	2	1	no	—
346	C₂×C₇×Q₈	—	2	2	no	—
347	C₂×C₇×Q₈	—	2	4	no	—
348	C₂×C₇×Q₈	—	4	1	no	—
349	C₂×C₇×Q₈	—	4	2	no	—
350	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
351	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
352	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
353	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
354	C₂×C₇×D₄	—	2	2	no	—
355	C₂×C₇×D₄	—	2	4	no	—
356	C₂×C₇×D₄	—	2	2	no	—
357	C₂×C₇×D₄	—	2	2	no	—
358	C₂×C₇×D₄	—	2	2	no	—
359	C₂×C₇×D₄	—	2	2	no	—
360	C₂×C₇×D₄	—	2	1	no	—
361	C₂×C₇×D₄	—	2	1	no	—
362	C₂×C₇×D₄	—	2	2	no	—
363	C₂×C₇×D₄	—	2	1	no	—
364	C₂×C₇×D₄	—	2	2	no	—
365	C₂×C₇×D₄	—	4	1	no	—
366	C₂×C₇×D₄	—	4	2	no	—
367	C₂×C₇×D₄	—	8	2	no	—
368	C₂×C₇×D₄	—	8	4	no	—
369	C₂×C₇×D₄	C₂×D₄	1	2	yes	—
370	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
371	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
372	C₂×C₇×D₄	C₂⁴	1	2	yes	—
373	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₇	—	2	1	no	—
375	C₂²×C₄×C₇	—	2	1	no	—
376	C₂²×C₄×C₇	—	2	2	no	—
377	C₂²×C₄×C₇	—	2	1	no	—
378	C₂²×C₄×C₇	—	2	1	no	—
379	C₂²×C₄×C₇	—	2	1	no	—
380	C₂²×C₄×C₇	—	2	1	no	—
381	C₂²×C₄×C₇	—	2	2	no	—
382	C₂²×C₄×C₇	—	2	2	no	—
383	C₂²×C₄×C₇	—	2	2	no	—
384	C₂²×C₄×C₇	—	2	1	no	—
385	C₂²×C₄×C₇	—	8	2	no	—
386	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
390	C₇×SD₁₆	—	2	2	no	—
391	C₇×SD₁₆	—	2	4	no	—
392	C₇×SD₁₆	—	2	2	no	—
393	C₇×SD₁₆	—	2	4	no	—
394	C₇×SD₁₆	—	2	2	no	—
395	C₇×SD₁₆	—	2	4	no	—
396	C₇×SD₁₆	—	4	2	no	—
397	C₇×SD₁₆	—	4	2	no	—
398	C₇×SD₁₆	—	4	2	no	—
399	C₇×SD₁₆	#41	1	4	yes	complemented
400	C₇×M₁₆	—	4	2	no	—
401	C₂×C₇×C₈	—	2	2	no	—
402	C₂×C₇×C₈	—	2	4	no	—
403	C₂×C₇×C₈	—	4	1	no	—
404	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
405	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
406	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
407	C₂×C₇×C₈	C₂⁴	1	2	yes	—
408	C₂×C₇×C₈	C₂⁴	1	2	yes	—
409	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
410	C₇×C₄⋊C₄	—	2	1	no	—
411	C₇×C₄⋊C₄	—	2	1	no	—
412	C₇×C₄⋊C₄	—	2	1	no	—
413	C₇×C₄⋊C₄	—	2	1	no	—
414	C₇×C₄⋊C₄	—	2	1	no	—
415	C₇×C₄⋊C₄	—	2	2	no	—
416	C₇×C₄⋊C₄	—	2	1	no	—
417	C₇×C₄⋊C₄	—	2	1	no	—
418	C₇×C₄⋊C₄	—	2	2	no	—
419	C₇×C₄⋊C₄	—	2	2	no	—
420	C₇×C₄⋊C₄	—	2	2	no	—
421	C₇×C₄⋊C₄	—	2	1	no	—
422	C₇×C₄⋊C₄	—	2	2	no	—
423	C₇×C₄⋊C₄	—	2	1	no	—
424	C₇×C₄⋊C₄	—	2	2	no	—
425	C₇×C₄⋊C₄	—	2	1	no	—
426	C₇×C₄⋊C₄	—	2	2	no	—
427	C₇×C₄⋊C₄	—	2	2	no	—
428	C₇×C₄⋊C₄	—	2	2	no	—
429	C₇×C₄⋊C₄	—	2	2	no	—
430	C₇×C₄⋊C₄	—	2	2	no	—
431	C₇×C₄⋊C₄	—	2	2	no	—
432	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
433	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
434	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
435	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
436	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
437	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
438	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
439	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
440	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
441	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
442	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
443	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
444	C₇×C₂²⋊C₄	—	2	2	no	—
445	C₇×C₂²⋊C₄	—	2	2	no	—
446	C₇×C₂²⋊C₄	—	2	2	no	—
447	C₇×C₂²⋊C₄	—	2	2	no	—
448	C₇×C₂²⋊C₄	—	2	2	no	—
449	C₇×C₂²⋊C₄	—	2	1	no	—
450	C₇×C₂²⋊C₄	—	2	2	no	—
451	C₇×C₂²⋊C₄	—	2	1	no	—
452	C₇×C₂²⋊C₄	—	2	2	no	—
453	C₇×C₂²⋊C₄	—	2	1	no	—
454	C₇×C₂²⋊C₄	—	2	2	no	—
455	C₇×C₂²⋊C₄	—	2	1	no	—
456	C₇×C₂²⋊C₄	—	2	2	no	—
457	C₇×C₂²⋊C₄	—	2	2	no	—
458	C₇×C₂²⋊C₄	—	2	2	no	—
459	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
460	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
461	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
463	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
464	C₄²×C₇	—	2	1	no	—
465	C₄²×C₇	—	2	1	no	—
466	C₄²×C₇	—	2	1	no	—
467	C₄²×C₇	—	2	1	no	—
468	C₄²×C₇	—	2	2	no	—
469	C₄²×C₇	—	2	2	no	—
470	C₄²×C₇	—	2	2	no	—
471	C₄²×C₇	—	2	2	no	—
472	C₄²×C₇	—	2	2	no	—
473	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
474	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
475	C₄²×C₇	C₂⁴	1	1	yes	characteristic
476	C₄²×C₇	C₂⁴	1	1	yes	characteristic
477	C₄²×C₇	C₂⁴	1	2	yes	—
478	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
479	C₂²×SD₁₆	C₂²×C₇	1	2	yes	—
480	#557	—	2	1	no	—
481	#557	C₂²×C₇	1	1	yes	characteristic, complemented
482	#557	C₂²×C₇	1	1	yes	characteristic, complemented
483	#556	—	2	1	no	—
484	#556	C₂²×C₇	1	1	yes	characteristic, complemented
485	#555	C₂²×C₇	1	1	yes	characteristic
486	#554	C₂²×C₇	1	1	yes	characteristic
487	#553	—	2	1	no	—
488	#553	C₂²×C₇	1	2	yes	—
489	#552	—	2	2	no	—
490	#552	C₂²×C₇	1	2	yes	complemented
491	#550	C₂²×C₇	1	1	yes	characteristic
492	D₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
493	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
494	#546	—	2	1	no	—
495	#546	—	2	2	no	—
496	D₄²	C₂²×C₇	1	2	yes	—
497	D₄²	C₂²×C₇	1	1	yes	characteristic
498	#541	—	2	2	no	—
499	#541	C₂²×C₇	1	2	yes	complemented
500	#540	C₂²×C₇	1	2	yes	—
501	#538	—	2	2	no	—
502	#533	—	2	1	no	—
503	#533	C₂²×C₇	1	1	yes	characteristic, complemented
504	#532	C₂²×C₇	1	1	yes	characteristic
505	#529	—	2	1	no	—
506	#529	C₂²×C₇	1	1	yes	characteristic
507	#525	—	2	1	no	—
508	C₂×#121	—	2	1	no	—
509	#519	C₂²×C₇	1	2	yes	complemented
510	#518	C₂²×C₇	1	2	yes	—
511	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
512	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
513	#499	C₂²×C₇	1	2	yes	complemented
514	#498	C₂²×C₇	1	1	yes	characteristic, complemented
515	#492	C₂²×C₇	1	1	yes	characteristic, complemented
516	#492	C₂²×C₇	1	2	yes	complemented
517	#491	C₂²×C₇	1	2	yes	complemented
518	#490	C₂²×C₇	1	2	yes	complemented
519	#487	C₂²×C₇	1	1	yes	characteristic, complemented
520	#486	C₂²×C₇	1	1	yes	characteristic, complemented
521	#485	C₂²×C₇	1	2	yes	complemented
522	#485	C₂²×C₇	1	2	yes	complemented
523	#484	C₂²×C₇	1	2	yes	complemented
524	#482	C₂²×C₇	1	2	yes	complemented
525	#482	C₂²×C₇	1	2	yes	complemented
526	#480	C₂²×C₇	1	2	yes	complemented
527	#479	C₂²×C₇	1	2	yes	complemented
528	#479	C₂²×C₇	1	2	yes	complemented
529	#478	C₂²×C₇	1	2	yes	—
530	#478	C₂²×C₇	1	2	yes	complemented
531	#477	C₂²×C₇	1	1	yes	characteristic, complemented
532	#477	C₂²×C₇	1	1	yes	characteristic, complemented
533	#474	C₂²×C₇	1	1	yes	characteristic
534	#474	C₂²×C₇	1	1	yes	characteristic, complemented
535	#468	C₂²×C₇	1	2	yes	complemented
536	#468	C₂²×C₇	1	2	yes	complemented
537	#465	C₂²×C₇	1	2	yes	complemented
538	#465	C₂²×C₇	1	2	yes	complemented
539	#465	C₂²×C₇	1	2	yes	complemented
540	#465	C₂²×C₇	1	2	yes	complemented
541	#461	C₂²×C₇	1	1	yes	characteristic
542	#461	C₂²×C₇	1	2	yes	—
543	#461	C₂²×C₇	1	1	yes	characteristic, complemented
544	#461	C₂²×C₇	1	2	yes	complemented
545	#460	C₂²×C₇	1	1	yes	characteristic, complemented
546	#460	C₂²×C₇	1	1	yes	characteristic, complemented
547	#460	C₂²×C₇	1	2	yes	complemented
548	#460	C₂²×C₇	1	2	yes	complemented
549	#450	C₂²×C₇	1	2	yes	—
550	#450	C₂²×C₇	1	2	yes	—
551	#450	C₂²×C₇	1	2	yes	—
552	#448	C₂²×C₇	1	2	yes	complemented
553	#448	C₂²×C₇	1	2	yes	complemented
554	#448	C₂²×C₇	1	2	yes	complemented
555	#446	C₂²×C₇	1	1	yes	characteristic, complemented
556	C₈×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
557	#440	C₂²×C₇	1	2	yes	—
558	#440	C₂²×C₇	1	2	yes	—
559	#440	C₂²×C₇	1	2	yes	complemented
560	#440	C₂²×C₇	1	2	yes	complemented
561	#440	C₂²×C₇	1	2	yes	complemented
562	#440	C₂²×C₇	1	2	yes	complemented
563	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
564	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
565	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
566	C₄×SD₁₆	C₂²×C₇	1	2	yes	—
567	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
568	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
569	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
570	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
571	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
572	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
573	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
574	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
575	#436	C₂²×C₇	1	1	yes	characteristic, complemented
576	#435	C₂²×C₇	1	2	yes	complemented
577	C₈×D₄	C₂²×C₇	1	2	yes	complemented
578	C₈×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
579	#433	C₂²×C₇	1	2	yes	complemented
580	#432	C₂²×C₇	1	1	yes	characteristic, complemented
581	#427	C₂²×C₇	1	2	yes	complemented
582	C₂×#106	C₂²×C₇	1	1	yes	characteristic, complemented
583	#419	C₂²×C₇	1	2	yes	complemented
584	#418	C₂²×C₇	1	2	yes	—
585	C₂×#103	C₂²×C₇	1	1	yes	characteristic, complemented
586	C₂×#102	C₂²×C₇	1	1	yes	characteristic
587	#405	C₂²×C₇	1	2	yes	complemented
588	C₂×C₄×C₈	C₂²×C₇	1	1	yes	characteristic, complemented
589	C₂³×C₇	—	2	1	no	—
590	C₂³×C₇	—	2	1	no	—
591	C₂³×C₇	—	2	2	no	—
592	C₂³×C₇	—	4	2	no	—
593	C₂³×C₇	—	4	4	no	—
594	C₂³×C₇	—	4	2	no	—
595	C₂³×C₇	—	8	1	no	—
596	C₂³×C₇	—	8	2	no	—
597	C₂³×C₇	—	8	2	no	—
598	C₂³×C₇	C₂²×D₄	1	2	yes	—
599	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
600	C₇×Q₈	—	2	2	no	—
601	C₇×Q₈	—	2	1	no	—
602	C₇×Q₈	—	2	1	no	—
603	C₇×Q₈	—	2	2	no	—
604	C₇×Q₈	—	2	2	no	—
605	C₇×Q₈	—	2	1	no	—
606	C₇×Q₈	—	4	2	no	—
607	C₇×Q₈	—	4	4	no	—
608	C₇×Q₈	—	4	2	no	—
609	C₇×Q₈	—	8	1	no	—
610	C₇×Q₈	C₂×#41	1	2	yes	—
611	C₇×D₄	—	2	4	no	—
612	C₇×D₄	—	2	2	no	—
613	C₇×D₄	—	2	1	no	—
614	C₇×D₄	—	2	2	no	—
615	C₇×D₄	—	2	1	no	—
616	C₇×D₄	—	2	1	no	—
617	C₇×D₄	—	2	2	no	—
618	C₇×D₄	—	4	2	no	—
619	C₇×D₄	—	4	4	no	—
620	C₇×D₄	—	4	4	no	—
621	C₇×D₄	—	4	2	no	—
622	C₇×D₄	—	8	2	no	—
623	C₇×D₄	—	8	1	no	—
624	C₇×D₄	—	8	2	no	—
625	C₇×D₄	—	8	2	no	—
626	C₇×D₄	—	8	2	no	—
627	C₇×D₄	C₂×#41	1	2	yes	—
628	C₂×C₄×C₇	—	2	2	no	—
629	C₂×C₄×C₇	—	2	1	no	—
630	C₂×C₄×C₇	—	2	2	no	—
631	C₂×C₄×C₇	—	2	1	no	—
632	C₂×C₄×C₇	—	2	2	no	—
633	C₂×C₄×C₇	—	2	1	no	—
634	C₂×C₄×C₇	—	2	2	no	—
635	C₂×C₄×C₇	—	2	1	no	—
636	C₂×C₄×C₇	—	2	2	no	—
637	C₂×C₄×C₇	—	2	1	no	—
638	C₂×C₄×C₇	—	2	1	no	—
639	C₂×C₄×C₇	—	2	1	no	—
640	C₂×C₄×C₇	—	2	2	no	—
641	C₂×C₄×C₇	—	2	2	no	—
642	C₂×C₄×C₇	—	2	1	no	—
643	C₂×C₄×C₇	—	4	2	no	—
644	C₂×C₄×C₇	—	4	4	no	—
645	C₂×C₄×C₇	—	4	2	no	—
646	C₂×C₄×C₇	—	4	2	no	—
647	C₂×C₄×C₇	—	4	2	no	—
648	C₂×C₄×C₇	—	8	1	no	—
649	C₂×C₄×C₇	—	8	1	no	—
650	C₂×C₄×C₇	—	8	2	no	—
651	C₂×C₄×C₇	—	8	2	no	—
652	C₂×C₄×C₇	—	8	2	no	—
653	C₂×C₄×C₇	—	8	1	no	—
654	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
655	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
656	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
657	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
658	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
659	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
660	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
661	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
662	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
663	C₇×C₈	—	2	1	no	—
664	C₇×C₈	—	2	2	no	—
665	C₇×C₈	—	2	1	no	—
666	C₇×C₈	—	2	1	no	—
667	C₇×C₈	—	2	2	no	—
668	C₇×C₈	C₂×#41	1	2	yes	—
669	C₂×#41	—	2	1	no	—
670	C₂×#41	—	2	1	no	—
671	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
672	C₂²×Q₈	C₂³×C₇	1	2	yes	—
673	C₂²×D₄	—	2	1	no	—
674	C₂²×D₄	—	2	2	no	—
675	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
676	C₂²×D₄	C₂³×C₇	1	2	yes	—
677	C₂³×C₄	—	2	1	no	—
678	C₂×SD₁₆	—	2	4	no	—
679	C₂×SD₁₆	—	2	8	no	—
680	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
681	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
682	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
683	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
684	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
685	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
686	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
687	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
688	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
689	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
690	C₂×M₁₆	C₂³×C₇	1	2	yes	—
691	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
692	C₂²×C₈	C₂³×C₇	1	2	yes	—
693	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
694	C₄⋊Q₈	—	2	1	no	—
695	C₄⋊Q₈	—	2	1	no	—
696	C₄⋊Q₈	—	2	2	no	—
697	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
698	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
699	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
700	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
701	#127	C₂³×C₇	1	1	yes	characteristic
702	#127	C₂³×C₇	1	2	yes	—
703	#126	—	2	2	no	—
704	#126	—	2	2	no	—
705	#126	—	2	2	no	—
706	#126	—	2	2	no	—
707	#126	—	2	2	no	—
708	#126	C₇×D₄	1	2	yes	—
709	#125	—	2	1	no	—
710	#125	—	2	2	no	—
711	#125	—	2	2	no	—
712	#125	—	2	2	no	—
713	#125	—	2	2	no	—
714	#125	—	2	2	no	—
715	#125	—	2	1	no	—
716	#125	C₇×D₄	1	1	yes	characteristic
717	#125	C₂³×C₇	1	2	yes	—
718	#125	C₂³×C₇	1	2	yes	—
719	#124	—	2	1	no	—
720	#124	—	2	2	no	—
721	#124	—	2	1	no	—
722	#124	C₇×D₄	1	1	yes	characteristic
723	#123	—	2	2	no	—
724	#123	—	2	2	no	—
725	#123	—	2	2	no	—
726	#123	—	2	2	no	—
727	#123	C₇×D₄	1	2	yes	—
728	C₂²⋊Q₈	—	2	1	no	—
729	C₂²⋊Q₈	—	2	1	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	C₇×D₄	1	1	yes	characteristic
735	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
736	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
737	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
738	#121	—	2	2	no	—
739	#121	—	2	1	no	—
740	#121	—	2	1	no	—
741	#121	—	2	1	no	—
742	#121	—	2	1	no	—
743	#121	—	2	2	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	C₇×D₄	1	1	yes	characteristic
748	#121	C₂³×C₇	1	2	yes	—
749	#121	C₂³×C₇	1	2	yes	—
750	#121	C₂³×C₇	1	2	yes	—
751	#120	—	2	2	no	—
752	#120	—	2	2	no	—
753	#120	—	2	2	no	—
754	C₄×Q₈	—	2	1	no	—
755	C₄×Q₈	—	2	2	no	—
756	C₄×Q₈	—	2	2	no	—
757	C₄×Q₈	—	2	1	no	—
758	C₄×Q₈	—	2	1	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	—	2	1	no	—
761	C₄×Q₈	—	2	1	no	—
762	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
763	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
764	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
765	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
766	C₄×Q₈	C₂³×C₇	1	2	yes	—
767	C₄×Q₈	C₂³×C₇	1	2	yes	—
768	C₄×Q₈	C₂³×C₇	1	2	yes	—
769	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
770	C₄×D₄	—	2	2	no	—
771	C₄×D₄	—	2	1	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	2	no	—
774	C₄×D₄	—	2	2	no	—
775	C₄×D₄	—	2	1	no	—
776	C₄×D₄	—	2	1	no	—
777	C₄×D₄	—	2	1	no	—
778	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
779	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
780	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
781	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
782	C₄×D₄	C₂³×C₇	1	2	yes	—
783	C₄×D₄	C₂³×C₇	1	2	yes	—
784	C₄×D₄	C₂³×C₇	1	2	yes	—
785	C₄×D₄	C₂³×C₇	1	2	yes	—
786	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
787	#117	—	2	1	no	—
788	#117	—	2	1	no	—
789	#117	—	2	2	no	—
790	#117	—	2	2	no	—
791	#117	—	2	2	no	—
792	#117	C₂³×C₇	1	2	yes	—
793	#117	C₂³×C₇	1	2	yes	—
794	#117	C₂³×C₇	1	2	yes	—
795	C₂×C₄⋊C₄	—	2	1	no	—
796	C₂×C₄⋊C₄	—	2	1	no	—
797	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
798	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	—	2	1	no	—
800	C₂×C₂²⋊C₄	—	2	2	no	—
801	C₂×C₂²⋊C₄	—	2	2	no	—
802	C₂×C₄²	—	2	1	no	—
803	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
804	#107	C₂³×C₇	1	2	yes	—
805	#107	C₂³×C₇	1	2	yes	—
806	#107	C₂³×C₇	1	2	yes	—
807	#107	C₂³×C₇	1	2	yes	—
808	#106	C₂³×C₇	1	1	yes	characteristic
809	#106	C₂³×C₇	1	1	yes	characteristic
810	#106	C₂³×C₇	1	1	yes	characteristic
811	#106	C₂³×C₇	1	1	yes	characteristic
812	#106	C₂³×C₇	1	2	yes	—
813	#106	C₂³×C₇	1	2	yes	—
814	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
815	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
816	C₄⋊C₈	C₂³×C₇	1	2	yes	—
817	C₄⋊C₈	C₂³×C₇	1	2	yes	—
818	#103	C₂³×C₇	1	1	yes	characteristic
819	#103	C₂³×C₇	1	1	yes	characteristic
820	#103	C₂³×C₇	1	1	yes	characteristic
821	#103	C₂³×C₇	1	1	yes	characteristic
822	#103	C₂³×C₇	1	2	yes	—
823	#103	C₂³×C₇	1	2	yes	—
824	#103	C₂³×C₇	1	2	yes	—
825	#103	C₂³×C₇	1	2	yes	—
826	#103	C₂³×C₇	1	2	yes	—
827	#103	C₂³×C₇	1	2	yes	—
828	#102	C₂³×C₇	1	1	yes	characteristic
829	#102	C₂³×C₇	1	1	yes	characteristic
830	#102	C₂³×C₇	1	1	yes	characteristic
831	#102	C₂³×C₇	1	1	yes	characteristic
832	#102	C₂³×C₇	1	2	yes	—
833	#102	C₂³×C₇	1	2	yes	—
834	#102	C₂³×C₇	1	2	yes	—
835	#102	C₂³×C₇	1	2	yes	—
836	#102	C₂³×C₇	1	2	yes	—
837	#102	C₂³×C₇	1	2	yes	—
838	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
839	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
840	C₂²⋊C₈	C₂³×C₇	1	2	yes	—
841	#97	C₂³×C₇	1	2	yes	—
842	#97	C₂³×C₇	1	2	yes	—
843	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
844	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
845	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
846	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
847	C₄×C₈	C₂³×C₇	1	2	yes	—
848	C₂²×C₇	—	2	1	no	—
849	C₂²×C₇	—	2	1	no	—
850	C₂²×C₇	—	2	2	no	—
851	C₂²×C₇	—	2	2	no	—
852	C₂²×C₇	—	2	2	no	—
853	C₂²×C₇	—	2	2	no	—
854	C₂²×C₇	—	4	1	no	—
855	C₂²×C₇	—	4	1	no	—
856	C₂²×C₇	—	4	1	no	—
857	C₂²×C₇	—	4	2	no	—
858	C₂²×C₇	—	4	1	no	—
859	C₂²×C₇	—	4	2	no	—
860	C₂²×C₇	—	4	2	no	—
861	C₂²×C₇	—	4	1	no	—
862	C₂²×C₇	—	8	4	no	—
863	C₂²×C₇	—	16	4	no	—
864	C₂²×C₇	#577	1	2	yes	—
865	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
866	C₄×C₇	—	2	1	no	—
867	C₄×C₇	—	2	2	no	—
868	C₄×C₇	—	2	2	no	—
869	C₄×C₇	—	2	1	no	—
870	C₄×C₇	—	2	1	no	—
871	C₄×C₇	—	2	1	no	—
872	C₄×C₇	—	2	2	no	—
873	C₄×C₇	—	2	2	no	—
874	C₄×C₇	—	4	1	no	—
875	C₄×C₇	—	4	2	no	—
876	C₄×C₇	—	4	1	no	—
877	C₄×C₇	—	4	1	no	—
878	C₄×C₇	—	4	1	no	—
879	C₄×C₇	—	4	1	no	—
880	C₄×C₇	—	4	2	no	—
881	C₄×C₇	—	4	2	no	—
882	C₄×C₇	#577	1	2	yes	—
883	C₄×C₇	C₂²×#41	1	1	yes	characteristic
884	C₄×C₇	#585	1	1	yes	characteristic
885	C₂⁴	—	2	1	no	—
886	C₂⁴	—	2	2	no	—
887	#41	—	8	2	no	—
888	#41	—	8	2	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	—	2	2	no	—
891	C₂×Q₈	—	2	1	no	—
892	C₂×Q₈	—	2	1	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	—	2	4	no	—
895	C₂×Q₈	—	4	1	no	—
896	C₂×Q₈	—	4	2	no	—
897	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
898	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
899	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
900	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	4	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	4	1	no	—
913	C₂×D₄	—	4	2	no	—
914	C₂×D₄	—	8	2	no	—
915	C₂×D₄	—	8	4	no	—
916	C₂×D₄	C₂×C₇×D₄	1	2	yes	—
917	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
918	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
919	C₂×D₄	C₂⁴×C₇	1	2	yes	—
920	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	8	2	no	—
933	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
934	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
937	SD₁₆	—	2	2	no	—
938	SD₁₆	—	2	4	no	—
939	SD₁₆	—	2	2	no	—
940	SD₁₆	—	2	4	no	—
941	SD₁₆	—	2	2	no	—
942	SD₁₆	—	2	4	no	—
943	SD₁₆	—	4	2	no	—
944	SD₁₆	—	4	2	no	—
945	SD₁₆	—	4	2	no	—
946	SD₁₆	C₇×#41	1	4	yes	complemented
947	M₁₆	—	4	2	no	—
948	C₂×C₈	—	2	2	no	—
949	C₂×C₈	—	2	4	no	—
950	C₂×C₈	—	4	1	no	—
951	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
952	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
953	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
954	C₂×C₈	C₂⁴×C₇	1	2	yes	—
955	C₂×C₈	C₂⁴×C₇	1	2	yes	—
956	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
980	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
981	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
982	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
983	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
984	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
985	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
986	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
988	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
989	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
990	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1009	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1010	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1021	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1022	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1023	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1024	C₄²	C₂⁴×C₇	1	2	yes	—
1025	C₂×C₇	—	2	2	no	—
1026	C₂×C₇	—	4	2	no	—
1027	C₂×C₇	—	4	2	no	—
1028	C₂×C₇	—	8	1	no	—
1029	C₂×C₇	—	8	2	no	—
1030	C₂×C₇	D₄×#41	1	1	yes	characteristic
1031	C₂×C₇	C₂×#577	1	1	yes	characteristic
1032	C₂×C₇	C₂×#577	1	1	yes	characteristic
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	2	no	—
1036	C₂³	—	4	2	no	—
1037	C₂³	—	4	4	no	—
1038	C₂³	—	4	2	no	—
1039	C₂³	—	8	1	no	—
1040	C₂³	—	8	2	no	—
1041	C₂³	—	8	2	no	—
1042	C₂³	C₂²×C₇×D₄	1	2	yes	—
1043	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1044	Q₈	—	2	1	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	2	2	no	—
1049	Q₈	—	2	1	no	—
1050	Q₈	—	4	2	no	—
1051	Q₈	—	4	4	no	—
1052	Q₈	—	4	2	no	—
1053	Q₈	—	8	1	no	—
1054	Q₈	C₂×C₇×#41	1	2	yes	—
1055	D₄	—	2	4	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	2	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	2	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	4	2	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	4	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	1	no	—
1068	D₄	—	8	2	no	—
1069	D₄	—	8	2	no	—
1070	D₄	—	8	2	no	—
1071	D₄	C₂×C₇×#41	1	2	yes	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	4	2	no	—
1088	C₂×C₄	—	4	4	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	8	1	no	—
1093	C₂×C₄	—	8	1	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	—	8	2	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	1	no	—
1098	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1099	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1101	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1102	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1103	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1104	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1105	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1106	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1107	C₈	—	2	1	no	—
1108	C₈	—	2	2	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	2	no	—
1112	C₈	C₂×C₇×#41	1	2	yes	—
1113	C₇	#61481	1	1	yes	characteristic, direct product factor, Sylow
1114	C₂²	—	2	1	no	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	8	4	no	—
1129	C₂²	—	16	4	no	—
1130	C₂²	C₇×#577	1	2	yes	—
1131	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1132	C₄	—	2	1	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	2	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	2	1	no	—
1138	C₄	—	2	2	no	—
1139	C₄	—	2	2	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	1	no	—
1144	C₄	—	4	2	no	—
1145	C₄	—	4	2	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	2	no	—
1148	C₄	C₇×#577	1	2	yes	—
1149	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1150	C₄	C₇×#585	1	1	yes	characteristic
1151	C₂	—	2	2	no	—
1152	C₂	—	4	2	no	—
1153	C₂	—	4	2	no	—
1154	C₂	—	8	1	no	—
1155	C₂	—	8	2	no	—
1156	C₂	C₇×D₄×#41	1	1	yes	characteristic
1157	C₂	C₂×C₇×#577	1	1	yes	characteristic
1158	C₂	C₂×C₇×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3519	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₇×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3523	C₂	semidirect
3. C₇×#3392	C₂	semidirect
4. C₇×#3381	C₂	semidirect
5. C₇×#3372	C₂	semidirect
6. C₇×#3368	C₂	semidirect
7. C₇×#3340	C₂	semidirect
8. C₇×#3337	C₂	semidirect
9. C₇×#3329	C₂	semidirect
10. C₇×#3324	C₂	semidirect
11. C₇×#3320	C₂	semidirect
12. C₇×#3310	C₂	semidirect
13. C₇×D₄×SD₁₆	C₂	semidirect
14. C₇×D₄×SD₁₆	C₂	semidirect
15. C₇×#3174	C₂	semidirect
16. C₇×#3167	C₂	semidirect
17. C₇×#3126	C₂	semidirect
18. C₇×#3123	C₂	semidirect
19. C₇×#3112	C₂	semidirect
20. C₇×#3110	C₂	semidirect
21. C₇×#2966	C₂	semidirect
22. C₇×#2949	C₂	semidirect
23. C₂×C₄×C₇×SD₁₆	C₂	semidirect
27. C₇×#557	C₂²	semidirect
28. C₇×#557	C₂²	semidirect
30. C₇×#556	C₂²	semidirect
36. C₇×#552	C₂²	semidirect
38. C₇×D₄×Q₈	C₂²	semidirect
39. C₇×D₄×Q₈	C₂²	semidirect
45. C₇×#541	C₂²	semidirect
49. C₇×#533	C₂²	semidirect
55. C₇×#519	C₂²	semidirect
57. C₂×C₄×C₇×Q₈	C₂²	semidirect
59. C₇×#499	C₂²	semidirect
60. C₇×#498	C₂²	semidirect
61. C₇×#492	C₂²	semidirect
62. C₇×#492	C₂²	semidirect
63. C₇×#491	C₂²	semidirect
64. C₇×#490	C₂²	semidirect
65. C₇×#487	C₂²	semidirect
66. C₇×#486	C₂²	semidirect
67. C₇×#485	C₂²	semidirect
68. C₇×#485	C₂²	semidirect
69. C₇×#484	C₂²	semidirect
70. C₇×#482	C₂²	semidirect
71. C₇×#482	C₂²	semidirect
72. C₇×#480	C₂²	semidirect
73. C₇×#479	C₂²	semidirect
74. C₇×#479	C₂²	semidirect
76. C₇×#478	C₂²	semidirect
77. C₇×#477	C₂²	semidirect
78. C₇×#477	C₂²	semidirect
80. C₇×#474	C₂²	semidirect
81. C₇×#468	C₂²	semidirect
82. C₇×#468	C₂²	semidirect
83. C₇×#465	C₂²	semidirect
84. C₇×#465	C₂²	semidirect
85. C₇×#465	C₂²	semidirect
86. C₇×#465	C₂²	semidirect
89. C₇×#461	C₂²	semidirect
90. C₇×#461	C₂²	semidirect
91. C₇×#460	C₂²	semidirect
92. C₇×#460	C₂²	semidirect
93. C₇×#460	C₂²	semidirect
94. C₇×#460	C₂²	semidirect
98. C₇×#448	C₂²	semidirect
99. C₇×#448	C₂²	semidirect
100. C₇×#448	C₂²	semidirect
101. C₇×#446	C₂²	semidirect
102. C₇×C₈×Q₈	C₂²	semidirect
105. C₇×#440	C₂²	semidirect
106. C₇×#440	C₂²	semidirect
107. C₇×#440	C₂²	semidirect
108. C₇×#440	C₂²	semidirect
114. C₄×C₇×SD₁₆	C₂²	semidirect
115. C₄×C₇×SD₁₆	C₂²	semidirect
116. C₄×C₇×SD₁₆	C₂²	semidirect
117. C₄×C₇×SD₁₆	C₂²	semidirect
118. C₄×C₇×SD₁₆	C₂²	semidirect
119. C₄×C₇×SD₁₆	C₂²	semidirect
120. C₄×C₇×SD₁₆	C₂²	semidirect
121. C₇×#436	C₂²	semidirect
122. C₇×#435	C₂²	semidirect
123. C₇×C₈×D₄	C₂²	semidirect
124. C₇×C₈×D₄	C₂²	semidirect
125. C₇×#433	C₂²	semidirect
126. C₇×#432	C₂²	semidirect
127. C₇×#427	C₂²	semidirect
128. C₂×C₇×#106	C₂²	semidirect
129. C₇×#419	C₂²	semidirect
131. C₂×C₇×#103	C₂²	semidirect
133. C₇×#405	C₂²	semidirect
134. C₂×C₄×C₇×C₈	C₂²	semidirect
135. #61481	C₇	direct (N × H)
315. #3523	C₂×C₇	semidirect
317. #3392	C₂×C₇	semidirect
318. #3381	C₂×C₇	semidirect
319. #3372	C₂×C₇	semidirect
320. #3368	C₂×C₇	semidirect
321. #3340	C₂×C₇	semidirect
322. #3337	C₂×C₇	semidirect
323. #3329	C₂×C₇	semidirect
324. #3324	C₂×C₇	semidirect
325. #3320	C₂×C₇	semidirect
326. #3310	C₂×C₇	semidirect
327. D₄×SD₁₆	C₂×C₇	semidirect
328. D₄×SD₁₆	C₂×C₇	semidirect
329. #3174	C₂×C₇	semidirect
330. #3167	C₂×C₇	semidirect
331. #3126	C₂×C₇	semidirect
332. #3123	C₂×C₇	semidirect
333. #3112	C₂×C₇	semidirect
334. #3110	C₂×C₇	semidirect
335. #2966	C₂×C₇	semidirect
336. #2949	C₂×C₇	semidirect
337. C₂×C₄×SD₁₆	C₂×C₇	semidirect
399. C₇×SD₁₆	#41	semidirect
481. #557	C₂²×C₇	semidirect
482. #557	C₂²×C₇	semidirect
484. #556	C₂²×C₇	semidirect
490. #552	C₂²×C₇	semidirect
492. D₄×Q₈	C₂²×C₇	semidirect
493. D₄×Q₈	C₂²×C₇	semidirect
499. #541	C₂²×C₇	semidirect
503. #533	C₂²×C₇	semidirect
509. #519	C₂²×C₇	semidirect
511. C₂×C₄×Q₈	C₂²×C₇	semidirect
513. #499	C₂²×C₇	semidirect
514. #498	C₂²×C₇	semidirect
515. #492	C₂²×C₇	semidirect
516. #492	C₂²×C₇	semidirect
517. #491	C₂²×C₇	semidirect
518. #490	C₂²×C₇	semidirect
519. #487	C₂²×C₇	semidirect
520. #486	C₂²×C₇	semidirect
521. #485	C₂²×C₇	semidirect
522. #485	C₂²×C₇	semidirect
523. #484	C₂²×C₇	semidirect
524. #482	C₂²×C₇	semidirect
525. #482	C₂²×C₇	semidirect
526. #480	C₂²×C₇	semidirect
527. #479	C₂²×C₇	semidirect
528. #479	C₂²×C₇	semidirect
530. #478	C₂²×C₇	semidirect
531. #477	C₂²×C₇	semidirect
532. #477	C₂²×C₇	semidirect
534. #474	C₂²×C₇	semidirect
535. #468	C₂²×C₇	semidirect
536. #468	C₂²×C₇	semidirect
537. #465	C₂²×C₇	semidirect
538. #465	C₂²×C₇	semidirect
539. #465	C₂²×C₇	semidirect
540. #465	C₂²×C₇	semidirect
543. #461	C₂²×C₇	semidirect
544. #461	C₂²×C₇	semidirect
545. #460	C₂²×C₇	semidirect
546. #460	C₂²×C₇	semidirect
547. #460	C₂²×C₇	semidirect
548. #460	C₂²×C₇	semidirect
552. #448	C₂²×C₇	semidirect
553. #448	C₂²×C₇	semidirect
554. #448	C₂²×C₇	semidirect
555. #446	C₂²×C₇	semidirect
556. C₈×Q₈	C₂²×C₇	semidirect
559. #440	C₂²×C₇	semidirect
560. #440	C₂²×C₇	semidirect
561. #440	C₂²×C₇	semidirect
562. #440	C₂²×C₇	semidirect
568. C₄×SD₁₆	C₂²×C₇	semidirect
569. C₄×SD₁₆	C₂²×C₇	semidirect
570. C₄×SD₁₆	C₂²×C₇	semidirect
571. C₄×SD₁₆	C₂²×C₇	semidirect
572. C₄×SD₁₆	C₂²×C₇	semidirect
573. C₄×SD₁₆	C₂²×C₇	semidirect
574. C₄×SD₁₆	C₂²×C₇	semidirect
575. #436	C₂²×C₇	semidirect
576. #435	C₂²×C₇	semidirect
577. C₈×D₄	C₂²×C₇	semidirect
578. C₈×D₄	C₂²×C₇	semidirect
579. #433	C₂²×C₇	semidirect
580. #432	C₂²×C₇	semidirect
581. #427	C₂²×C₇	semidirect
582. C₂×#106	C₂²×C₇	semidirect
583. #419	C₂²×C₇	semidirect
585. C₂×#103	C₂²×C₇	semidirect
587. #405	C₂²×C₇	semidirect
588. C₂×C₄×C₈	C₂²×C₇	semidirect
946. SD₁₆	C₇×#41	semidirect
1113. C₇	#61481	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×#3523	2
C₇×#3519	2
C₇×#3392	2
C₇×#3381	2
C₇×#3372	2
C₇×#3368	2
C₇×#3340	2
C₇×#3337	2
C₇×#3329	2
C₇×#3324	2
C₇×#3320	2
C₇×#3310	2
C₇×D₄×SD₁₆	2
C₇×#3174	2
C₇×#3167	2
C₇×#3126	2
C₇×#3123	2
C₇×#3112	2
C₇×#3110	2
C₇×#2966	2
C₇×#2949	2
C₂×C₄×C₇×SD₁₆	2
#61481	7

Subgroups — C7×#61481 #13238697

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#61481 #13238697