Subgroups — C₇×#60706 #13237922

Order 1792.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3494	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3181	C₂	1	2	yes	maximal, complemented
4	C₇×#3180	C₂	1	2	yes	maximal, complemented
5	C₇×#3179	C₂	1	2	yes	maximal, complemented
6	C₇×#3178	C₂	1	2	yes	maximal, complemented
7	C₇×#3174	C₂	1	2	yes	maximal, complemented
8	C₇×#3173	C₂	1	2	yes	maximal, complemented
9	C₇×#3168	C₂	1	2	yes	maximal, complemented
10	C₇×#3167	C₂	1	2	yes	maximal, complemented
11	C₇×#3163	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3154	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3137	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3136	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3056	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3055	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3050	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₇×#465	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#2952	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#2949	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#405	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×#137	C₂²	1	1	yes	characteristic
25	C₂×C₇×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₇×#135	C₂²	1	1	yes	characteristic
27	C₂²×C₇×SD₁₆	C₂²	1	1	yes	characteristic
28	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
29	C₂³×C₇×C₈	C₂²	1	1	yes	characteristic
30	C₇×#556	—	2	1	no	—
31	C₇×#555	—	2	1	no	—
32	C₇×#554	—	2	1	no	—
33	C₇×#553	—	2	1	no	—
34	C₇×#553	—	2	1	no	—
35	C₇×#552	—	2	2	no	—
36	C₇×#552	—	2	1	no	—
37	C₇×#552	—	2	1	no	—
38	C₇×#551	—	2	2	no	—
39	C₇×#551	—	2	2	no	—
40	C₇×#547	—	2	1	no	—
41	C₇×#546	—	2	2	no	—
42	C₇×#544	C₂²	1	1	yes	characteristic
43	C₇×#544	C₂²	1	1	yes	characteristic
44	C₇×#542	C₂²	1	2	yes	—
45	C₇×#542	C₂²	1	2	yes	complemented
46	C₇×#541	C₂²	1	2	yes	complemented
47	C₇×#540	C₂²	1	2	yes	—
48	C₇×#536	C₂²	1	1	yes	characteristic
49	C₇×#535	C₂²	1	1	yes	characteristic
50	C₇×#533	C₂²	1	2	yes	complemented
51	C₇×#532	C₂²	1	2	yes	—
52	C₇×#529	C₂²	1	2	yes	—
53	C₇×#529	C₂²	1	2	yes	complemented
54	C₇×#525	C₂²	1	1	yes	characteristic
55	C₇×#525	C₂²	1	1	yes	characteristic
56	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	C₂×C₇×#121	C₂²	1	1	yes	characteristic
58	C₇×#520	C₂²	1	1	yes	characteristic
59	C₇×#520	C₂²	1	1	yes	characteristic
60	C₇×#519	C₂²	1	1	yes	characteristic
61	C₇×#518	C₂²	1	1	yes	characteristic
62	C₂×C₇×#117	C₂²	1	1	yes	characteristic
63	C₇×#501	C₂²	1	2	yes	complemented
64	C₇×#501	C₂²	1	2	yes	complemented
65	C₇×#499	C₂²	1	2	yes	complemented
66	C₇×#498	C₂²	1	2	yes	complemented
67	C₇×#497	C₂²	1	2	yes	complemented
68	C₇×#496	C₂²	1	2	yes	complemented
69	C₇×#495	C₂²	1	2	yes	complemented
70	C₇×#492	C₂²	1	2	yes	complemented
71	C₇×#491	C₂²	1	2	yes	complemented
72	C₇×#490	C₂²	1	2	yes	complemented
73	C₇×#489	C₂²	1	2	yes	complemented
74	C₇×#489	C₂²	1	2	yes	complemented
75	C₇×#488	C₂²	1	2	yes	complemented
76	C₇×#488	C₂²	1	2	yes	complemented
77	C₇×#487	C₂²	1	2	yes	complemented
78	C₇×#486	C₂²	1	2	yes	complemented
79	C₇×#470	C₂²	1	2	yes	complemented
80	C₇×#469	C₂²	1	2	yes	—
81	C₇×#468	C₂²	1	2	yes	—
82	C₇×#468	C₂²	1	2	yes	complemented
83	C₇×#467	C₂²	1	2	yes	complemented
84	C₇×#467	C₂²	1	1	yes	characteristic, complemented
85	C₇×#467	C₂²	1	1	yes	characteristic, complemented
86	C₇×#466	C₂²	1	2	yes	—
87	C₇×#466	C₂²	1	1	yes	characteristic, complemented
88	C₇×#466	C₂²	1	1	yes	characteristic, complemented
89	C₇×#465	C₂²	1	2	yes	—
90	C₇×#465	C₂²	1	2	yes	—
91	C₇×#465	C₂²	1	2	yes	—
92	C₇×#465	C₂²	1	2	yes	—
93	C₇×#465	C₂²	1	2	yes	—
94	C₇×#465	C₂²	1	1	yes	characteristic, complemented
95	C₇×#465	C₂²	1	2	yes	complemented
96	C₇×#465	C₂²	1	1	yes	characteristic, complemented
97	C₇×#465	C₂²	1	1	yes	characteristic, complemented
98	C₇×#465	C₂²	1	1	yes	characteristic, complemented
99	C₇×#442	C₂²	1	2	yes	complemented
100	C₇×#442	C₂²	1	2	yes	complemented
101	C₇×#441	C₂²	1	2	yes	complemented
102	C₇×#441	C₂²	1	2	yes	complemented
103	C₇×#440	C₂²	1	2	yes	complemented
104	C₇×#440	C₂²	1	2	yes	complemented
105	C₇×#440	C₂²	1	2	yes	complemented
106	C₇×#440	C₂²	1	2	yes	complemented
107	C₄×C₇×Q₁₆	C₂²	1	2	yes	complemented
108	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
110	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
111	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
112	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
113	C₄×C₇×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₇×D₈	C₂²	1	2	yes	complemented
115	C₇×#428	C₂²	1	1	yes	characteristic
116	C₇×#428	C₂²	1	1	yes	characteristic
117	C₇×#427	C₂²	1	1	yes	characteristic
118	C₂×C₇×#106	C₂²	1	1	yes	characteristic
119	C₇×#419	C₂²	1	1	yes	characteristic
120	C₇×#418	C₂²	1	1	yes	characteristic
121	C₇×#417	C₂²	1	1	yes	characteristic
122	C₇×#417	C₂²	1	1	yes	characteristic
123	C₇×#416	C₂²	1	1	yes	characteristic
124	C₇×#416	C₂²	1	1	yes	characteristic
125	C₂×C₇×#103	C₂²	1	1	yes	characteristic
126	C₂×C₇×#102	C₂²	1	1	yes	characteristic
127	C₇×#405	C₂²	1	1	yes	characteristic
128	C₇×#405	C₂²	1	1	yes	characteristic
129	C₇×#405	C₂²	1	1	yes	characteristic
130	C₇×#405	C₂²	1	1	yes	characteristic
131	C₇×#405	C₂²	1	2	yes	complemented
132	C₇×#405	C₂²	1	2	yes	complemented
133	C₂×C₇×#97	C₂²	1	2	yes	complemented
134	C₂×C₄×C₇×C₈	C₂²	1	2	yes	complemented
135	#60706	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₇×#41	—	2	2	no	—
137	C₂×C₇×#41	C₂³	1	1	yes	characteristic
138	C₂×C₇×#41	C₂³	1	1	yes	characteristic
139	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
140	C₂²×C₇×D₄	—	2	1	no	—
141	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
143	C₇×#137	—	2	4	no	—
144	C₇×AGL(1,ℤ/8)	—	2	4	no	—
145	C₇×#135	—	2	4	no	—
146	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₇×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₇×SD₁₆	—	2	4	no	—
149	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₇×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₇×D₈	C₂³	1	2	yes	—
156	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
157	C₂×C₇×M₁₆	—	2	4	no	—
158	C₂×C₇×M₁₆	C₂³	1	2	yes	—
159	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
161	C₂²×C₇×C₈	—	2	4	no	—
162	C₂²×C₇×C₈	C₂³	1	2	yes	—
163	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
164	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
165	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
166	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
167	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
168	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
169	C₇×C₄⋊Q₈	—	2	1	no	—
170	C₇×C₄⋊Q₈	—	2	1	no	—
171	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
174	C₇×#127	C₂³	1	2	yes	—
175	C₇×#126	—	2	2	no	—
176	C₇×#126	—	2	2	no	—
177	C₇×#126	—	2	2	no	—
178	C₇×#126	—	2	2	no	—
179	C₇×#126	—	2	2	no	—
180	C₇×#126	—	2	2	no	—
181	C₇×#125	—	2	2	no	—
182	C₇×#125	—	2	2	no	—
183	C₇×#125	—	2	1	no	—
184	C₇×#125	—	2	1	no	—
185	C₇×#125	—	2	2	no	—
186	C₇×#125	C₂³	1	2	yes	—
187	C₇×#125	C₂³	1	2	yes	—
188	C₇×#124	—	2	2	no	—
189	C₇×#124	—	2	2	no	—
190	C₇×#124	—	2	2	no	—
191	C₇×#124	C₂³	1	2	yes	—
192	C₇×#124	C₂³	1	2	yes	—
193	C₇×#123	—	2	1	no	—
194	C₇×#123	—	2	1	no	—
195	C₇×#123	—	2	2	no	—
196	C₇×#123	—	2	2	no	—
197	C₇×#123	—	2	2	no	—
198	C₇×#123	—	2	2	no	—
199	C₇×#123	—	2	2	no	—
200	C₇×#123	—	2	2	no	—
201	C₇×#123	—	2	2	no	—
202	C₇×C₂²⋊Q₈	—	2	1	no	—
203	C₇×C₂²⋊Q₈	—	2	1	no	—
204	C₇×C₂²⋊Q₈	—	2	2	no	—
205	C₇×C₂²⋊Q₈	—	2	1	no	—
206	C₇×C₂²⋊Q₈	—	2	1	no	—
207	C₇×C₂²⋊Q₈	—	2	2	no	—
208	C₇×C₂²⋊Q₈	—	2	2	no	—
209	C₇×C₂²⋊Q₈	—	2	2	no	—
210	C₇×C₂²⋊Q₈	—	2	2	no	—
211	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
214	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₇×#121	—	2	1	no	—
218	C₇×#121	—	2	1	no	—
219	C₇×#121	—	2	2	no	—
220	C₇×#121	—	2	1	no	—
221	C₇×#121	—	2	1	no	—
222	C₇×#121	—	2	2	no	—
223	C₇×#121	—	2	2	no	—
224	C₇×#121	C₂³	1	1	yes	characteristic
225	C₇×#121	C₂³	1	2	yes	—
226	C₇×#121	C₂³	1	1	yes	characteristic
227	C₇×#121	C₂³	1	1	yes	characteristic
228	C₇×#121	C₂³	1	1	yes	characteristic
229	C₇×#121	C₂³	1	2	yes	—
230	C₇×#120	—	2	1	no	—
231	C₇×#120	—	2	1	no	—
232	C₇×#120	—	2	2	no	—
233	C₄×C₇×Q₈	—	2	1	no	—
234	C₄×C₇×Q₈	—	2	1	no	—
235	C₄×C₇×Q₈	—	2	2	no	—
236	C₄×C₇×Q₈	C₂³	1	2	yes	—
237	C₄×C₇×Q₈	C₂³	1	2	yes	—
238	C₄×C₇×Q₈	C₂³	1	2	yes	—
239	C₄×C₇×Q₈	C₂³	1	2	yes	—
240	C₄×C₇×D₄	—	2	1	no	—
241	C₄×C₇×D₄	—	2	1	no	—
242	C₄×C₇×D₄	—	2	1	no	—
243	C₄×C₇×D₄	—	2	1	no	—
244	C₄×C₇×D₄	—	2	2	no	—
245	C₄×C₇×D₄	—	2	2	no	—
246	C₄×C₇×D₄	—	2	1	no	—
247	C₄×C₇×D₄	—	2	1	no	—
248	C₄×C₇×D₄	—	2	2	no	—
249	C₄×C₇×D₄	—	2	2	no	—
250	C₄×C₇×D₄	—	2	2	no	—
251	C₄×C₇×D₄	C₂³	1	2	yes	—
252	C₄×C₇×D₄	C₂³	1	2	yes	—
253	C₄×C₇×D₄	C₂³	1	2	yes	—
254	C₄×C₇×D₄	C₂³	1	2	yes	—
255	C₇×#117	—	2	2	no	—
256	C₇×#117	—	2	1	no	—
257	C₇×#117	—	2	1	no	—
258	C₇×#117	—	2	2	no	—
259	C₇×#117	—	2	2	no	—
260	C₇×#117	—	2	2	no	—
261	C₇×#117	D₄	1	2	yes	—
262	C₇×#117	D₄	1	1	yes	characteristic
263	C₇×#117	D₄	1	1	yes	characteristic
264	C₇×#117	C₂³	1	1	yes	characteristic
265	C₇×#117	C₂³	1	1	yes	characteristic
266	C₇×#117	C₂³	1	1	yes	characteristic
267	C₇×#117	C₂³	1	1	yes	characteristic
268	C₇×#117	C₂³	1	2	yes	—
269	C₂×C₇×C₄⋊C₄	—	2	1	no	—
270	C₂×C₇×C₄⋊C₄	—	2	1	no	—
271	C₂×C₇×C₄⋊C₄	—	2	1	no	—
272	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
273	C₂×C₇×C₄⋊C₄	D₄	1	1	yes	characteristic
274	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
277	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
278	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
279	C₂×C₇×C₂²⋊C₄	D₄	1	2	yes	—
280	C₂×C₄²×C₇	C₂³	1	2	yes	—
281	C₇×#107	C₂³	1	2	yes	—
282	C₇×#107	C₂³	1	1	yes	characteristic
283	C₇×#107	C₂³	1	1	yes	characteristic
284	C₇×#107	C₂³	1	2	yes	—
285	C₇×#106	C₂³	1	2	yes	—
286	C₇×#106	C₂³	1	2	yes	—
287	C₇×#106	C₂³	1	1	yes	characteristic
288	C₇×#106	C₂³	1	2	yes	—
289	C₇×#106	C₂³	1	1	yes	characteristic
290	C₇×#106	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×#103	C₂³	1	1	yes	characteristic
296	C₇×#103	C₂³	1	1	yes	characteristic
297	C₇×#103	C₂³	1	2	yes	—
298	C₇×#103	C₂³	1	2	yes	—
299	C₇×#103	C₂³	1	2	yes	—
300	C₇×#103	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×#102	C₂³	1	1	yes	characteristic
306	C₇×#102	C₂³	1	1	yes	characteristic
307	C₇×#102	C₂³	1	2	yes	—
308	C₇×#102	C₂³	1	2	yes	—
309	C₇×#102	C₂³	1	2	yes	—
310	C₇×#102	C₂³	1	2	yes	—
311	C₇×#97	C₂³	1	2	yes	—
312	C₇×#97	C₂³	1	2	yes	—
313	C₇×#97	C₂³	1	2	yes	—
314	C₇×#97	C₂³	1	2	yes	—
315	C₄×C₇×C₈	C₂³	1	2	yes	—
316	C₄×C₇×C₈	C₂³	1	2	yes	—
317	C₄×C₇×C₈	C₂³	1	2	yes	—
318	C₄×C₇×C₈	C₂³	1	2	yes	—
319	#3495	C₂×C₇	1	1	yes	characteristic, complemented
320	#3494	C₂×C₇	1	1	yes	characteristic, complemented
321	#3181	C₂×C₇	1	2	yes	complemented
322	#3180	C₂×C₇	1	2	yes	complemented
323	#3179	C₂×C₇	1	2	yes	complemented
324	#3178	C₂×C₇	1	2	yes	complemented
325	#3174	C₂×C₇	1	2	yes	complemented
326	#3173	C₂×C₇	1	2	yes	complemented
327	#3168	C₂×C₇	1	2	yes	complemented
328	#3167	C₂×C₇	1	2	yes	complemented
329	#3163	C₂×C₇	1	1	yes	characteristic, complemented
330	#3154	C₂×C₇	1	1	yes	characteristic, complemented
331	#3137	C₂×C₇	1	1	yes	characteristic, complemented
332	#3136	C₂×C₇	1	1	yes	characteristic, complemented
333	#3056	C₂×C₇	1	1	yes	characteristic, complemented
334	#3055	C₂×C₇	1	1	yes	characteristic, complemented
335	#3050	C₂×C₇	1	1	yes	characteristic, complemented
336	C₂×#465	C₂×C₇	1	1	yes	characteristic, complemented
337	#2952	C₂×C₇	1	1	yes	characteristic, complemented
338	#2949	C₂×C₇	1	1	yes	characteristic, complemented
339	#2947	C₂×C₇	1	1	yes	characteristic, complemented
340	#2946	C₂×C₇	1	1	yes	characteristic, complemented
341	C₂×#405	C₂×C₇	1	1	yes	characteristic, complemented
342	C₂⁴×C₇	—	2	1	no	—
343	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
344	C₇×#41	—	2	2	no	—
345	C₇×#41	—	2	2	no	—
346	C₇×#41	—	2	2	no	—
347	C₇×#41	—	2	2	no	—
348	C₇×#41	—	8	4	no	—
349	C₂×C₇×Q₈	—	2	1	no	—
350	C₂×C₇×Q₈	—	2	2	no	—
351	C₂×C₇×Q₈	—	2	2	no	—
352	C₂×C₇×Q₈	—	2	2	no	—
353	C₂×C₇×Q₈	—	2	2	no	—
354	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
355	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
356	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
357	C₂×C₇×D₄	—	2	1	no	—
358	C₂×C₇×D₄	—	2	1	no	—
359	C₂×C₇×D₄	—	2	1	no	—
360	C₂×C₇×D₄	—	2	1	no	—
361	C₂×C₇×D₄	—	2	2	no	—
362	C₂×C₇×D₄	—	2	1	no	—
363	C₂×C₇×D₄	—	2	1	no	—
364	C₂×C₇×D₄	—	2	2	no	—
365	C₂×C₇×D₄	—	2	1	no	—
366	C₂×C₇×D₄	—	2	2	no	—
367	C₂×C₇×D₄	—	2	2	no	—
368	C₂×C₇×D₄	—	2	2	no	—
369	C₂×C₇×D₄	—	2	2	no	—
370	C₂×C₇×D₄	—	8	2	no	—
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	2	no	—
375	C₂²×C₄×C₇	—	2	2	no	—
376	C₂²×C₄×C₇	—	2	1	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	2	no	—
385	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
386	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
390	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
393	C₇×Q₁₆	—	2	2	no	—
394	C₇×Q₁₆	—	2	4	no	—
395	C₇×SD₁₆	—	2	4	no	—
396	C₇×SD₁₆	—	2	4	no	—
397	C₇×SD₁₆	—	2	2	no	—
398	C₇×SD₁₆	—	2	2	no	—
399	C₇×SD₁₆	—	2	4	no	—
400	C₇×SD₁₆	—	2	4	no	—
401	C₇×D₈	—	2	2	no	—
402	C₇×D₈	—	2	4	no	—
403	C₇×M₁₆	—	2	2	no	—
404	C₇×M₁₆	—	2	4	no	—
405	C₇×M₁₆	#41	1	4	yes	complemented
406	C₂×C₇×C₈	—	2	2	no	—
407	C₂×C₇×C₈	—	2	2	no	—
408	C₂×C₇×C₈	—	2	2	no	—
409	C₂×C₇×C₈	—	2	2	no	—
410	C₂×C₇×C₈	—	2	2	no	—
411	C₂×C₇×C₈	—	2	4	no	—
412	C₂×C₇×C₈	#41	1	4	yes	complemented
413	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
414	C₂×C₇×C₈	C₂⁴	1	2	yes	—
415	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
416	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
417	C₂×C₇×C₈	C₂⁴	1	2	yes	—
418	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
419	C₇×C₄⋊C₄	—	2	1	no	—
420	C₇×C₄⋊C₄	—	2	1	no	—
421	C₇×C₄⋊C₄	—	2	2	no	—
422	C₇×C₄⋊C₄	—	2	2	no	—
423	C₇×C₄⋊C₄	—	2	2	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	—	2	1	no	—
433	C₇×C₄⋊C₄	—	2	2	no	—
434	C₇×C₄⋊C₄	—	2	2	no	—
435	C₇×C₄⋊C₄	—	2	1	no	—
436	C₇×C₄⋊C₄	—	2	2	no	—
437	C₇×C₄⋊C₄	—	2	1	no	—
438	C₇×C₄⋊C₄	—	2	2	no	—
439	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
440	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
442	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
444	C₇×C₄⋊C₄	C₂×D₄	1	2	yes	—
445	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
446	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
449	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₇×C₂²⋊C₄	—	2	1	no	—
452	C₇×C₂²⋊C₄	—	2	2	no	—
453	C₇×C₂²⋊C₄	—	2	2	no	—
454	C₇×C₂²⋊C₄	—	2	1	no	—
455	C₇×C₂²⋊C₄	—	2	1	no	—
456	C₇×C₂²⋊C₄	—	2	1	no	—
457	C₇×C₂²⋊C₄	—	2	1	no	—
458	C₇×C₂²⋊C₄	—	2	1	no	—
459	C₇×C₂²⋊C₄	—	2	2	no	—
460	C₇×C₂²⋊C₄	—	2	2	no	—
461	C₇×C₂²⋊C₄	—	2	2	no	—
462	C₇×C₂²⋊C₄	—	2	2	no	—
463	C₇×C₂²⋊C₄	—	2	1	no	—
464	C₇×C₂²⋊C₄	—	2	2	no	—
465	C₇×C₂²⋊C₄	—	2	2	no	—
466	C₇×C₂²⋊C₄	—	2	2	no	—
467	C₇×C₂²⋊C₄	—	2	2	no	—
468	C₇×C₂²⋊C₄	—	2	1	no	—
469	C₇×C₂²⋊C₄	—	2	2	no	—
470	C₇×C₂²⋊C₄	—	2	1	no	—
471	C₇×C₂²⋊C₄	—	2	1	no	—
472	C₇×C₂²⋊C₄	—	2	2	no	—
473	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
474	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
475	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
476	C₇×C₂²⋊C₄	C₂×D₄	1	2	yes	—
477	C₄²×C₇	—	2	2	no	—
478	C₄²×C₇	—	2	2	no	—
479	C₄²×C₇	—	2	2	no	—
480	C₄²×C₇	—	2	2	no	—
481	C₄²×C₇	—	2	1	no	—
482	C₄²×C₇	—	2	1	no	—
483	C₄²×C₇	C₂×D₄	1	2	yes	—
484	C₄²×C₇	C₂×D₄	1	2	yes	—
485	C₄²×C₇	C₂⁴	1	2	yes	—
486	C₄²×C₇	C₂⁴	1	2	yes	—
487	C₂×#137	C₂²×C₇	1	1	yes	characteristic
488	C₂×AGL(1,ℤ/8)	C₂²×C₇	1	1	yes	characteristic
489	C₂×#135	C₂²×C₇	1	1	yes	characteristic
490	C₂²×SD₁₆	C₂²×C₇	1	1	yes	characteristic
491	C₂²×M₁₆	C₂²×C₇	1	1	yes	characteristic
492	C₂³×C₈	C₂²×C₇	1	1	yes	characteristic
493	#556	—	2	1	no	—
494	#555	—	2	1	no	—
495	#554	—	2	1	no	—
496	#553	—	2	1	no	—
497	#553	—	2	1	no	—
498	#552	—	2	2	no	—
499	#552	—	2	1	no	—
500	#552	—	2	1	no	—
501	#551	—	2	2	no	—
502	#551	—	2	2	no	—
503	#547	—	2	1	no	—
504	#546	—	2	2	no	—
505	#544	C₂²×C₇	1	1	yes	characteristic
506	#544	C₂²×C₇	1	1	yes	characteristic
507	#542	C₂²×C₇	1	2	yes	—
508	#542	C₂²×C₇	1	2	yes	complemented
509	#541	C₂²×C₇	1	2	yes	complemented
510	#540	C₂²×C₇	1	2	yes	—
511	#536	C₂²×C₇	1	1	yes	characteristic
512	#535	C₂²×C₇	1	1	yes	characteristic
513	#533	C₂²×C₇	1	2	yes	complemented
514	#532	C₂²×C₇	1	2	yes	—
515	#529	C₂²×C₇	1	2	yes	—
516	#529	C₂²×C₇	1	2	yes	complemented
517	#525	C₂²×C₇	1	1	yes	characteristic
518	#525	C₂²×C₇	1	1	yes	characteristic
519	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
520	C₂×#121	C₂²×C₇	1	1	yes	characteristic
521	#520	C₂²×C₇	1	1	yes	characteristic
522	#520	C₂²×C₇	1	1	yes	characteristic
523	#519	C₂²×C₇	1	1	yes	characteristic
524	#518	C₂²×C₇	1	1	yes	characteristic
525	C₂×#117	C₂²×C₇	1	1	yes	characteristic
526	#501	C₂²×C₇	1	2	yes	complemented
527	#501	C₂²×C₇	1	2	yes	complemented
528	#499	C₂²×C₇	1	2	yes	complemented
529	#498	C₂²×C₇	1	2	yes	complemented
530	#497	C₂²×C₇	1	2	yes	complemented
531	#496	C₂²×C₇	1	2	yes	complemented
532	#495	C₂²×C₇	1	2	yes	complemented
533	#492	C₂²×C₇	1	2	yes	complemented
534	#491	C₂²×C₇	1	2	yes	complemented
535	#490	C₂²×C₇	1	2	yes	complemented
536	#489	C₂²×C₇	1	2	yes	complemented
537	#489	C₂²×C₇	1	2	yes	complemented
538	#488	C₂²×C₇	1	2	yes	complemented
539	#488	C₂²×C₇	1	2	yes	complemented
540	#487	C₂²×C₇	1	2	yes	complemented
541	#486	C₂²×C₇	1	2	yes	complemented
542	#470	C₂²×C₇	1	2	yes	complemented
543	#469	C₂²×C₇	1	2	yes	—
544	#468	C₂²×C₇	1	2	yes	—
545	#468	C₂²×C₇	1	2	yes	complemented
546	#467	C₂²×C₇	1	2	yes	complemented
547	#467	C₂²×C₇	1	1	yes	characteristic, complemented
548	#467	C₂²×C₇	1	1	yes	characteristic, complemented
549	#466	C₂²×C₇	1	2	yes	—
550	#466	C₂²×C₇	1	1	yes	characteristic, complemented
551	#466	C₂²×C₇	1	1	yes	characteristic, complemented
552	#465	C₂²×C₇	1	2	yes	—
553	#465	C₂²×C₇	1	2	yes	—
554	#465	C₂²×C₇	1	2	yes	—
555	#465	C₂²×C₇	1	2	yes	—
556	#465	C₂²×C₇	1	2	yes	—
557	#465	C₂²×C₇	1	1	yes	characteristic, complemented
558	#465	C₂²×C₇	1	2	yes	complemented
559	#465	C₂²×C₇	1	1	yes	characteristic, complemented
560	#465	C₂²×C₇	1	1	yes	characteristic, complemented
561	#465	C₂²×C₇	1	1	yes	characteristic, complemented
562	#442	C₂²×C₇	1	2	yes	complemented
563	#442	C₂²×C₇	1	2	yes	complemented
564	#441	C₂²×C₇	1	2	yes	complemented
565	#441	C₂²×C₇	1	2	yes	complemented
566	#440	C₂²×C₇	1	2	yes	complemented
567	#440	C₂²×C₇	1	2	yes	complemented
568	#440	C₂²×C₇	1	2	yes	complemented
569	#440	C₂²×C₇	1	2	yes	complemented
570	C₄×Q₁₆	C₂²×C₇	1	2	yes	complemented
571	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
572	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
573	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
574	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
575	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
576	C₄×SD₁₆	C₂²×C₇	1	2	yes	complemented
577	C₄×D₈	C₂²×C₇	1	2	yes	complemented
578	#428	C₂²×C₇	1	1	yes	characteristic
579	#428	C₂²×C₇	1	1	yes	characteristic
580	#427	C₂²×C₇	1	1	yes	characteristic
581	C₂×#106	C₂²×C₇	1	1	yes	characteristic
582	#419	C₂²×C₇	1	1	yes	characteristic
583	#418	C₂²×C₇	1	1	yes	characteristic
584	#417	C₂²×C₇	1	1	yes	characteristic
585	#417	C₂²×C₇	1	1	yes	characteristic
586	#416	C₂²×C₇	1	1	yes	characteristic
587	#416	C₂²×C₇	1	1	yes	characteristic
588	C₂×#103	C₂²×C₇	1	1	yes	characteristic
589	C₂×#102	C₂²×C₇	1	1	yes	characteristic
590	#405	C₂²×C₇	1	1	yes	characteristic
591	#405	C₂²×C₇	1	1	yes	characteristic
592	#405	C₂²×C₇	1	1	yes	characteristic
593	#405	C₂²×C₇	1	1	yes	characteristic
594	#405	C₂²×C₇	1	2	yes	complemented
595	#405	C₂²×C₇	1	2	yes	complemented
596	C₂×#97	C₂²×C₇	1	2	yes	complemented
597	C₂×C₄×C₈	C₂²×C₇	1	2	yes	complemented
598	C₂³×C₇	—	2	2	no	—
599	C₂³×C₇	—	2	2	no	—
600	C₂³×C₇	—	2	1	no	—
601	C₂³×C₇	—	2	2	no	—
602	C₂³×C₇	—	2	1	no	—
603	C₂³×C₇	—	4	1	no	—
604	C₂³×C₇	—	4	2	no	—
605	C₂³×C₇	—	8	1	no	—
606	C₂³×C₇	—	8	1	no	—
607	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
608	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
609	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
610	C₇×Q₈	—	2	2	no	—
611	C₇×Q₈	—	2	1	no	—
612	C₇×Q₈	—	2	2	no	—
613	C₇×Q₈	—	2	1	no	—
614	C₇×Q₈	—	2	1	no	—
615	C₇×Q₈	—	2	1	no	—
616	C₇×Q₈	—	4	2	no	—
617	C₇×Q₈	—	8	2	no	—
618	C₇×Q₈	—	8	2	no	—
619	C₇×D₄	—	2	1	no	—
620	C₇×D₄	—	2	2	no	—
621	C₇×D₄	—	2	1	no	—
622	C₇×D₄	—	2	1	no	—
623	C₇×D₄	—	2	2	no	—
624	C₇×D₄	—	2	1	no	—
625	C₇×D₄	—	4	2	no	—
626	C₇×D₄	—	4	2	no	—
627	C₇×D₄	—	4	2	no	—
628	C₇×D₄	—	4	4	no	—
629	C₇×D₄	—	4	2	no	—
630	C₇×D₄	—	4	2	no	—
631	C₇×D₄	—	8	2	no	—
632	C₇×D₄	—	8	2	no	—
633	C₇×D₄	—	8	1	no	—
634	C₇×D₄	—	8	1	no	—
635	C₇×D₄	—	8	2	no	—
636	C₂×C₄×C₇	—	2	2	no	—
637	C₂×C₄×C₇	—	2	4	no	—
638	C₂×C₄×C₇	—	2	2	no	—
639	C₂×C₄×C₇	—	2	2	no	—
640	C₂×C₄×C₇	—	2	1	no	—
641	C₂×C₄×C₇	—	2	1	no	—
642	C₂×C₄×C₇	—	2	1	no	—
643	C₂×C₄×C₇	—	2	1	no	—
644	C₂×C₄×C₇	—	2	1	no	—
645	C₂×C₄×C₇	—	2	1	no	—
646	C₂×C₄×C₇	—	2	1	no	—
647	C₂×C₄×C₇	—	2	2	no	—
648	C₂×C₄×C₇	—	2	1	no	—
649	C₂×C₄×C₇	—	2	1	no	—
650	C₂×C₄×C₇	—	2	1	no	—
651	C₂×C₄×C₇	—	2	2	no	—
652	C₂×C₄×C₇	—	2	2	no	—
653	C₂×C₄×C₇	—	4	2	no	—
654	C₂×C₄×C₇	—	4	2	no	—
655	C₂×C₄×C₇	—	4	2	no	—
656	C₂×C₄×C₇	—	4	2	no	—
657	C₂×C₄×C₇	—	8	2	no	—
658	C₂×C₄×C₇	—	8	2	no	—
659	C₂×C₄×C₇	—	8	2	no	—
660	C₂×C₄×C₇	—	8	2	no	—
661	C₂×C₄×C₇	—	8	1	no	—
662	C₂×C₄×C₇	—	8	1	no	—
663	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
664	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
665	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
666	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
667	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
668	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
669	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
670	C₂×C₄×C₇	C₂×#41	1	2	yes	—
671	C₂×C₄×C₇	C₂×#41	1	2	yes	—
672	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
673	C₇×C₈	—	2	1	no	—
674	C₇×C₈	—	2	1	no	—
675	C₇×C₈	—	2	2	no	—
676	C₇×C₈	C₂×#41	1	2	yes	—
677	C₇×C₈	C₂×#41	1	2	yes	—
678	C₇×C₈	C₂×#41	1	4	yes	—
679	C₂×#41	—	2	2	no	—
680	C₂×#41	C₂³×C₇	1	1	yes	characteristic
681	C₂×#41	C₂³×C₇	1	1	yes	characteristic
682	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
683	C₂²×D₄	—	2	1	no	—
684	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
685	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
686	#137	—	2	4	no	—
687	AGL(1,ℤ/8)	—	2	4	no	—
688	#135	—	2	4	no	—
689	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
690	C₂×Q₁₆	C₂³×C₇	1	2	yes	—
691	C₂×SD₁₆	—	2	4	no	—
692	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
693	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
694	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
695	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
696	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
697	C₂×SD₁₆	C₂³×C₇	1	2	yes	—
698	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
699	C₂×D₈	C₂³×C₇	1	2	yes	—
700	C₂×M₁₆	—	2	4	no	—
701	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
702	C₂×M₁₆	C₂³×C₇	1	2	yes	—
703	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
704	C₂²×C₈	—	2	4	no	—
705	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
706	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
707	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
708	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
709	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
710	C₂²×C₈	C₂³×C₇	1	2	yes	—
711	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
715	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
716	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
717	#127	C₂³×C₇	1	2	yes	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#125	—	2	2	no	—
725	#125	—	2	2	no	—
726	#125	—	2	1	no	—
727	#125	—	2	1	no	—
728	#125	—	2	2	no	—
729	#125	C₂³×C₇	1	2	yes	—
730	#125	C₂³×C₇	1	2	yes	—
731	#124	—	2	2	no	—
732	#124	—	2	2	no	—
733	#124	—	2	2	no	—
734	#124	C₂³×C₇	1	2	yes	—
735	#124	C₂³×C₇	1	2	yes	—
736	#123	—	2	1	no	—
737	#123	—	2	1	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
757	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
758	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
759	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
760	#121	—	2	1	no	—
761	#121	—	2	1	no	—
762	#121	—	2	2	no	—
763	#121	—	2	1	no	—
764	#121	—	2	1	no	—
765	#121	—	2	2	no	—
766	#121	—	2	2	no	—
767	#121	C₂³×C₇	1	2	yes	—
768	#121	C₂³×C₇	1	2	yes	—
769	#121	C₂³×C₇	1	1	yes	characteristic
770	#121	C₂³×C₇	1	1	yes	characteristic
771	#121	C₂³×C₇	1	1	yes	characteristic
772	#121	C₂³×C₇	1	1	yes	characteristic
773	#120	—	2	1	no	—
774	#120	—	2	1	no	—
775	#120	—	2	2	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	2	no	—
779	C₄×Q₈	C₂³×C₇	1	2	yes	—
780	C₄×Q₈	C₂³×C₇	1	2	yes	—
781	C₄×Q₈	C₂³×C₇	1	2	yes	—
782	C₄×Q₈	C₂³×C₇	1	2	yes	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	C₂³×C₇	1	2	yes	—
795	C₄×D₄	C₂³×C₇	1	2	yes	—
796	C₄×D₄	C₂³×C₇	1	2	yes	—
797	C₄×D₄	C₂³×C₇	1	2	yes	—
798	#117	—	2	2	no	—
799	#117	—	2	1	no	—
800	#117	—	2	1	no	—
801	#117	—	2	2	no	—
802	#117	—	2	2	no	—
803	#117	—	2	2	no	—
804	#117	C₇×D₄	1	2	yes	—
805	#117	C₇×D₄	1	1	yes	characteristic
806	#117	C₇×D₄	1	1	yes	characteristic
807	#117	C₂³×C₇	1	1	yes	characteristic
808	#117	C₂³×C₇	1	1	yes	characteristic
809	#117	C₂³×C₇	1	1	yes	characteristic
810	#117	C₂³×C₇	1	1	yes	characteristic
811	#117	C₂³×C₇	1	2	yes	—
812	C₂×C₄⋊C₄	—	2	1	no	—
813	C₂×C₄⋊C₄	—	2	1	no	—
814	C₂×C₄⋊C₄	—	2	1	no	—
815	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₇×D₄	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	—	2	1	no	—
820	C₂×C₂²⋊C₄	—	2	1	no	—
821	C₂×C₂²⋊C₄	—	2	2	no	—
822	C₂×C₂²⋊C₄	C₇×D₄	1	2	yes	—
823	C₂×C₄²	C₂³×C₇	1	2	yes	—
824	#107	C₂³×C₇	1	1	yes	characteristic
825	#107	C₂³×C₇	1	1	yes	characteristic
826	#107	C₂³×C₇	1	2	yes	—
827	#107	C₂³×C₇	1	2	yes	—
828	#106	C₂³×C₇	1	2	yes	—
829	#106	C₂³×C₇	1	2	yes	—
830	#106	C₂³×C₇	1	1	yes	characteristic
831	#106	C₂³×C₇	1	1	yes	characteristic
832	#106	C₂³×C₇	1	2	yes	—
833	#106	C₂³×C₇	1	2	yes	—
834	#103	C₂³×C₇	1	2	yes	—
835	#103	C₂³×C₇	1	2	yes	—
836	#103	C₂³×C₇	1	1	yes	characteristic
837	#103	C₂³×C₇	1	1	yes	characteristic
838	#103	C₂³×C₇	1	1	yes	characteristic
839	#103	C₂³×C₇	1	1	yes	characteristic
840	#103	C₂³×C₇	1	2	yes	—
841	#103	C₂³×C₇	1	2	yes	—
842	#103	C₂³×C₇	1	2	yes	—
843	#103	C₂³×C₇	1	2	yes	—
844	#102	C₂³×C₇	1	2	yes	—
845	#102	C₂³×C₇	1	2	yes	—
846	#102	C₂³×C₇	1	1	yes	characteristic
847	#102	C₂³×C₇	1	1	yes	characteristic
848	#102	C₂³×C₇	1	1	yes	characteristic
849	#102	C₂³×C₇	1	1	yes	characteristic
850	#102	C₂³×C₇	1	2	yes	—
851	#102	C₂³×C₇	1	2	yes	—
852	#102	C₂³×C₇	1	2	yes	—
853	#102	C₂³×C₇	1	2	yes	—
854	#97	C₂³×C₇	1	2	yes	—
855	#97	C₂³×C₇	1	2	yes	—
856	#97	C₂³×C₇	1	2	yes	—
857	#97	C₂³×C₇	1	2	yes	—
858	C₄×C₈	C₂³×C₇	1	2	yes	—
859	C₄×C₈	C₂³×C₇	1	2	yes	—
860	C₄×C₈	C₂³×C₇	1	2	yes	—
861	C₄×C₈	C₂³×C₇	1	2	yes	—
862	C₂²×C₇	—	2	1	no	—
863	C₂²×C₇	—	2	1	no	—
864	C₂²×C₇	—	2	1	no	—
865	C₂²×C₇	—	2	1	no	—
866	C₂²×C₇	—	2	1	no	—
867	C₂²×C₇	—	2	1	no	—
868	C₂²×C₇	—	2	1	no	—
869	C₂²×C₇	—	4	4	no	—
870	C₂²×C₇	—	4	1	no	—
871	C₂²×C₇	—	4	2	no	—
872	C₂²×C₇	—	4	1	no	—
873	C₂²×C₇	—	4	1	no	—
874	C₂²×C₇	—	4	1	no	—
875	C₂²×C₇	—	4	2	no	—
876	C₂²×C₇	—	4	1	no	—
877	C₂²×C₇	—	4	2	no	—
878	C₂²×C₇	—	4	1	no	—
879	C₂²×C₇	—	16	2	no	—
880	C₂²×C₇	#532	1	2	yes	—
881	C₂²×C₇	#577	1	2	yes	—
882	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
883	C₄×C₇	—	2	2	no	—
884	C₄×C₇	—	2	2	no	—
885	C₄×C₇	—	2	1	no	—
886	C₄×C₇	—	2	1	no	—
887	C₄×C₇	—	2	2	no	—
888	C₄×C₇	—	2	2	no	—
889	C₄×C₇	—	4	1	no	—
890	C₄×C₇	—	4	2	no	—
891	C₄×C₇	—	4	1	no	—
892	C₄×C₇	—	4	1	no	—
893	C₄×C₇	—	4	1	no	—
894	C₄×C₇	—	4	2	no	—
895	C₄×C₇	—	4	2	no	—
896	C₄×C₇	—	4	1	no	—
897	C₄×C₇	—	4	1	no	—
898	C₄×C₇	#532	1	2	yes	—
899	C₄×C₇	C₂²×#41	1	1	yes	characteristic
900	C₄×C₇	C₂²×#41	1	1	yes	characteristic
901	C₂⁴	—	2	1	no	—
902	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
903	#41	—	2	2	no	—
904	#41	—	2	2	no	—
905	#41	—	2	2	no	—
906	#41	—	2	2	no	—
907	#41	—	8	4	no	—
908	C₂×Q₈	—	2	1	no	—
909	C₂×Q₈	—	2	2	no	—
910	C₂×Q₈	—	2	2	no	—
911	C₂×Q₈	—	2	2	no	—
912	C₂×Q₈	—	2	2	no	—
913	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
914	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
915	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	8	2	no	—
930	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
931	C₂×D₄	C₂⁴×C₇	1	2	yes	—
932	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
945	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
946	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
947	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
948	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
949	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
952	Q₁₆	—	2	2	no	—
953	Q₁₆	—	2	4	no	—
954	SD₁₆	—	2	4	no	—
955	SD₁₆	—	2	4	no	—
956	SD₁₆	—	2	2	no	—
957	SD₁₆	—	2	2	no	—
958	SD₁₆	—	2	4	no	—
959	SD₁₆	—	2	4	no	—
960	D₈	—	2	2	no	—
961	D₈	—	2	4	no	—
962	M₁₆	—	2	2	no	—
963	M₁₆	—	2	4	no	—
964	M₁₆	C₇×#41	1	4	yes	complemented
965	C₂×C₈	—	2	2	no	—
966	C₂×C₈	—	2	2	no	—
967	C₂×C₈	—	2	2	no	—
968	C₂×C₈	—	2	2	no	—
969	C₂×C₈	—	2	2	no	—
970	C₂×C₈	—	2	4	no	—
971	C₂×C₈	C₇×#41	1	4	yes	complemented
972	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
973	C₂×C₈	C₂⁴×C₇	1	2	yes	—
974	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
975	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
976	C₂×C₈	C₂⁴×C₇	1	2	yes	—
977	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	1	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
999	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1000	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1001	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1002	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1003	C₄⋊C₄	C₂×C₇×D₄	1	2	yes	—
1004	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1005	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1006	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1007	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1008	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1009	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	1	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	1	no	—
1030	C₂²⋊C₄	—	2	1	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1033	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1034	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1035	C₂²⋊C₄	C₂×C₇×D₄	1	2	yes	—
1036	C₄²	—	2	2	no	—
1037	C₄²	—	2	2	no	—
1038	C₄²	—	2	2	no	—
1039	C₄²	—	2	2	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	2	1	no	—
1042	C₄²	C₂×C₇×D₄	1	2	yes	—
1043	C₄²	C₂×C₇×D₄	1	2	yes	—
1044	C₄²	C₂⁴×C₇	1	2	yes	—
1045	C₄²	C₂⁴×C₇	1	2	yes	—
1046	C₂×C₇	—	2	2	no	—
1047	C₂×C₇	—	2	2	no	—
1048	C₂×C₇	—	4	1	no	—
1049	C₂×C₇	—	8	1	no	—
1050	C₂×C₇	—	8	1	no	—
1051	C₂×C₇	—	8	2	no	—
1052	C₂×C₇	C₂×#532	1	1	yes	characteristic
1053	C₂×C₇	C₂×#577	1	1	yes	characteristic
1054	C₂×C₇	#3584	1	1	yes	characteristic
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	2	no	—
1059	C₂³	—	2	1	no	—
1060	C₂³	—	4	1	no	—
1061	C₂³	—	4	2	no	—
1062	C₂³	—	8	1	no	—
1063	C₂³	—	8	1	no	—
1064	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1065	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1066	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1067	Q₈	—	2	2	no	—
1068	Q₈	—	2	1	no	—
1069	Q₈	—	2	2	no	—
1070	Q₈	—	2	1	no	—
1071	Q₈	—	2	1	no	—
1072	Q₈	—	2	1	no	—
1073	Q₈	—	4	2	no	—
1074	Q₈	—	8	2	no	—
1075	Q₈	—	8	2	no	—
1076	D₄	—	2	1	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	2	1	no	—
1079	D₄	—	2	1	no	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	1	no	—
1082	D₄	—	4	2	no	—
1083	D₄	—	4	2	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	4	2	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	8	2	no	—
1089	D₄	—	8	2	no	—
1090	D₄	—	8	1	no	—
1091	D₄	—	8	1	no	—
1092	D₄	—	8	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	4	2	no	—
1112	C₂×C₄	—	4	2	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	8	2	no	—
1115	C₂×C₄	—	8	2	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	—	8	2	no	—
1118	C₂×C₄	—	8	1	no	—
1119	C₂×C₄	—	8	1	no	—
1120	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1121	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1122	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1123	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1124	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
1125	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1126	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1127	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1128	C₂×C₄	C₂×C₇×#41	1	2	yes	—
1129	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1130	C₈	—	2	1	no	—
1131	C₈	—	2	1	no	—
1132	C₈	—	2	2	no	—
1133	C₈	C₂×C₇×#41	1	2	yes	—
1134	C₈	C₂×C₇×#41	1	2	yes	—
1135	C₈	C₂×C₇×#41	1	4	yes	—
1136	C₇	#60706	1	1	yes	characteristic, direct product factor, Sylow
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	4	4	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	1	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	16	2	no	—
1155	C₂²	C₇×#532	1	2	yes	—
1156	C₂²	C₇×#577	1	2	yes	—
1157	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1158	C₄	—	2	2	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	1	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	1	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	2	no	—
1173	C₄	C₇×#532	1	2	yes	—
1174	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1175	C₄	C₂²×C₇×#41	1	1	yes	characteristic
1176	C₂	—	2	2	no	—
1177	C₂	—	2	2	no	—
1178	C₂	—	4	1	no	—
1179	C₂	—	8	2	no	—
1180	C₂	—	8	1	no	—
1181	C₂	—	8	1	no	—
1182	C₂	C₂×C₇×#532	1	1	yes	characteristic
1183	C₂	C₂×C₇×#577	1	1	yes	characteristic
1184	C₂	C₇×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₂×C₇×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3495	C₂	semidirect
2. C₇×#3494	C₂	semidirect
3. C₇×#3181	C₂	semidirect
4. C₇×#3180	C₂	semidirect
5. C₇×#3179	C₂	semidirect
6. C₇×#3178	C₂	semidirect
7. C₇×#3174	C₂	semidirect
8. C₇×#3173	C₂	semidirect
9. C₇×#3168	C₂	semidirect
10. C₇×#3167	C₂	semidirect
11. C₇×#3163	C₂	semidirect
12. C₇×#3154	C₂	semidirect
13. C₇×#3137	C₂	semidirect
14. C₇×#3136	C₂	semidirect
15. C₇×#3056	C₂	semidirect
16. C₇×#3055	C₂	semidirect
17. C₇×#3050	C₂	semidirect
18. C₂×C₇×#465	C₂	semidirect
19. C₇×#2952	C₂	semidirect
20. C₇×#2949	C₂	semidirect
21. C₇×#2947	C₂	semidirect
22. C₇×#2946	C₂	semidirect
23. C₂×C₇×#405	C₂	semidirect
45. C₇×#542	C₂²	semidirect
46. C₇×#541	C₂²	semidirect
50. C₇×#533	C₂²	semidirect
53. C₇×#529	C₂²	semidirect
63. C₇×#501	C₂²	semidirect
64. C₇×#501	C₂²	semidirect
65. C₇×#499	C₂²	semidirect
66. C₇×#498	C₂²	semidirect
67. C₇×#497	C₂²	semidirect
68. C₇×#496	C₂²	semidirect
69. C₇×#495	C₂²	semidirect
70. C₇×#492	C₂²	semidirect
71. C₇×#491	C₂²	semidirect
72. C₇×#490	C₂²	semidirect
73. C₇×#489	C₂²	semidirect
74. C₇×#489	C₂²	semidirect
75. C₇×#488	C₂²	semidirect
76. C₇×#488	C₂²	semidirect
77. C₇×#487	C₂²	semidirect
78. C₇×#486	C₂²	semidirect
79. C₇×#470	C₂²	semidirect
82. C₇×#468	C₂²	semidirect
83. C₇×#467	C₂²	semidirect
84. C₇×#467	C₂²	semidirect
85. C₇×#467	C₂²	semidirect
87. C₇×#466	C₂²	semidirect
88. C₇×#466	C₂²	semidirect
94. C₇×#465	C₂²	semidirect
95. C₇×#465	C₂²	semidirect
96. C₇×#465	C₂²	semidirect
97. C₇×#465	C₂²	semidirect
98. C₇×#465	C₂²	semidirect
99. C₇×#442	C₂²	semidirect
100. C₇×#442	C₂²	semidirect
101. C₇×#441	C₂²	semidirect
102. C₇×#441	C₂²	semidirect
103. C₇×#440	C₂²	semidirect
104. C₇×#440	C₂²	semidirect
105. C₇×#440	C₂²	semidirect
106. C₇×#440	C₂²	semidirect
107. C₄×C₇×Q₁₆	C₂²	semidirect
108. C₄×C₇×SD₁₆	C₂²	semidirect
109. C₄×C₇×SD₁₆	C₂²	semidirect
110. C₄×C₇×SD₁₆	C₂²	semidirect
111. C₄×C₇×SD₁₆	C₂²	semidirect
112. C₄×C₇×SD₁₆	C₂²	semidirect
113. C₄×C₇×SD₁₆	C₂²	semidirect
114. C₄×C₇×D₈	C₂²	semidirect
131. C₇×#405	C₂²	semidirect
132. C₇×#405	C₂²	semidirect
133. C₂×C₇×#97	C₂²	semidirect
134. C₂×C₄×C₇×C₈	C₂²	semidirect
135. #60706	C₇	direct (N × H)
319. #3495	C₂×C₇	semidirect
320. #3494	C₂×C₇	semidirect
321. #3181	C₂×C₇	semidirect
322. #3180	C₂×C₇	semidirect
323. #3179	C₂×C₇	semidirect
324. #3178	C₂×C₇	semidirect
325. #3174	C₂×C₇	semidirect
326. #3173	C₂×C₇	semidirect
327. #3168	C₂×C₇	semidirect
328. #3167	C₂×C₇	semidirect
329. #3163	C₂×C₇	semidirect
330. #3154	C₂×C₇	semidirect
331. #3137	C₂×C₇	semidirect
332. #3136	C₂×C₇	semidirect
333. #3056	C₂×C₇	semidirect
334. #3055	C₂×C₇	semidirect
335. #3050	C₂×C₇	semidirect
336. C₂×#465	C₂×C₇	semidirect
337. #2952	C₂×C₇	semidirect
338. #2949	C₂×C₇	semidirect
339. #2947	C₂×C₇	semidirect
340. #2946	C₂×C₇	semidirect
341. C₂×#405	C₂×C₇	semidirect
405. C₇×M₁₆	#41	semidirect
412. C₂×C₇×C₈	#41	semidirect
508. #542	C₂²×C₇	semidirect
509. #541	C₂²×C₇	semidirect
513. #533	C₂²×C₇	semidirect
516. #529	C₂²×C₇	semidirect
526. #501	C₂²×C₇	semidirect
527. #501	C₂²×C₇	semidirect
528. #499	C₂²×C₇	semidirect
529. #498	C₂²×C₇	semidirect
530. #497	C₂²×C₇	semidirect
531. #496	C₂²×C₇	semidirect
532. #495	C₂²×C₇	semidirect
533. #492	C₂²×C₇	semidirect
534. #491	C₂²×C₇	semidirect
535. #490	C₂²×C₇	semidirect
536. #489	C₂²×C₇	semidirect
537. #489	C₂²×C₇	semidirect
538. #488	C₂²×C₇	semidirect
539. #488	C₂²×C₇	semidirect
540. #487	C₂²×C₇	semidirect
541. #486	C₂²×C₇	semidirect
542. #470	C₂²×C₇	semidirect
545. #468	C₂²×C₇	semidirect
546. #467	C₂²×C₇	semidirect
547. #467	C₂²×C₇	semidirect
548. #467	C₂²×C₇	semidirect
550. #466	C₂²×C₇	semidirect
551. #466	C₂²×C₇	semidirect
557. #465	C₂²×C₇	semidirect
558. #465	C₂²×C₇	semidirect
559. #465	C₂²×C₇	semidirect
560. #465	C₂²×C₇	semidirect
561. #465	C₂²×C₇	semidirect
562. #442	C₂²×C₇	semidirect
563. #442	C₂²×C₇	semidirect
564. #441	C₂²×C₇	semidirect
565. #441	C₂²×C₇	semidirect
566. #440	C₂²×C₇	semidirect
567. #440	C₂²×C₇	semidirect
568. #440	C₂²×C₇	semidirect
569. #440	C₂²×C₇	semidirect
570. C₄×Q₁₆	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. C₄×SD₁₆	C₂²×C₇	semidirect
576. C₄×SD₁₆	C₂²×C₇	semidirect
577. C₄×D₈	C₂²×C₇	semidirect
594. #405	C₂²×C₇	semidirect
595. #405	C₂²×C₇	semidirect
596. C₂×#97	C₂²×C₇	semidirect
597. C₂×C₄×C₈	C₂²×C₇	semidirect
964. M₁₆	C₇×#41	semidirect
971. C₂×C₈	C₇×#41	semidirect
1136. C₇	#60706	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×#3495	2
C₇×#3494	2
C₇×#3181	2
C₇×#3180	2
C₇×#3179	2
C₇×#3178	2
C₇×#3174	2
C₇×#3173	2
C₇×#3168	2
C₇×#3167	2
C₇×#3163	2
C₇×#3154	2
C₇×#3137	2
C₇×#3136	2
C₇×#3056	2
C₇×#3055	2
C₇×#3050	2
C₂×C₇×#465	2
C₇×#2952	2
C₇×#2949	2
C₇×#2947	2
C₇×#2946	2
C₂×C₇×#405	2
#60706	7

Subgroups — C7×#60706 #13237922

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60706 #13237922