Subgroups — C₇×#62878 #13240094

Order 1792.

7134 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3561	C₂	1	4	yes	maximal, complemented
2	C₇×#3560	C₂	1	4	yes	maximal, complemented
3	C₇×#3558	C₂	1	4	yes	maximal, complemented
4	C₇×#3558	C₂	1	4	yes	maximal, complemented
5	C₇×#3554	C₂	1	4	yes	maximal, complemented
6	C₇×#3546	C₂	1	4	yes	maximal, complemented
7	C₇×#3542	C₂	1	4	yes	maximal, complemented
8	C₇×#3541	C₂	1	4	yes	maximal, complemented
9	C₇×#3540	C₂	1	4	yes	maximal, complemented
10	C₇×#3536	C₂	1	4	yes	maximal, complemented
11	C₇×#3536	C₂	1	4	yes	maximal, complemented
12	C₇×#3534	C₂	1	4	yes	maximal, complemented
13	C₇×#3511	C₂	1	2	yes	maximal, complemented
14	C₇×#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3500	C₂	1	2	yes	maximal, complemented
17	C₇×#3497	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇×#3489	C₂	1	2	yes	maximal, complemented
20	C₇×#3488	C₂	1	2	yes	maximal, complemented
21	C₇×#3455	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3449	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₇×2₋¹⁺⁴	C₂²	1	2	yes	complemented
25	C₂×C₇×H(5,𝔽₂)	C₂²	1	2	yes	complemented
26	C₂²×C₇×#41	C₂²	1	2	yes	complemented
27	C₇×#563	C₂²	1	8	yes	complemented
28	C₇×#562	C₂²	1	8	yes	complemented
29	C₇×#562	C₂²	1	8	yes	complemented
30	C₇×#562	C₂²	1	8	yes	complemented
31	C₇×#562	C₂²	1	8	yes	complemented
32	C₇×H(3,𝔽₄)	C₂²	1	8	yes	complemented
33	C₇×#560	C₂²	1	8	yes	complemented
34	C₇×#560	C₂²	1	8	yes	complemented
35	C₇×#559	C₂²	1	4	yes	complemented
36	C₇×#559	C₂²	1	2	yes	complemented
37	C₇×#559	C₂²	1	8	yes	complemented
38	C₇×#557	C₂²	1	2	yes	complemented
39	C₇×#556	C₂²	1	2	yes	complemented
40	C₇×#556	C₂²	1	4	yes	complemented
41	C₇×#556	C₂²	1	2	yes	complemented
42	C₇×#556	C₂²	1	4	yes	complemented
43	C₇×#555	C₂²	1	2	yes	complemented
44	C₇×#555	C₂²	1	4	yes	complemented
45	C₇×#554	C₂²	1	2	yes	complemented
46	C₇×#554	C₂²	1	4	yes	complemented
47	C₇×#554	C₂²	1	8	yes	complemented
48	C₇×#553	C₂²	1	8	yes	complemented
49	C₇×#553	C₂²	1	8	yes	complemented
50	C₇×#553	C₂²	1	4	yes	complemented
51	C₇×#552	C₂²	1	4	yes	complemented
52	C₇×#551	C₂²	1	8	yes	complemented
53	C₇×#551	C₂²	1	8	yes	complemented
54	C₇×#550	C₂²	1	4	yes	complemented
55	C₇×#550	C₂²	1	2	yes	complemented
56	C₇×#550	C₂²	1	2	yes	complemented
57	C₇×#550	C₂²	1	2	yes	complemented
58	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
59	C₇×D₄×Q₈	C₂²	1	4	yes	complemented
60	C₇×D₄×Q₈	C₂²	1	2	yes	complemented
61	C₇×#548	C₂²	1	4	yes	complemented
62	C₇×#548	C₂²	1	4	yes	complemented
63	C₇×#548	C₂²	1	4	yes	complemented
64	C₇×#548	C₂²	1	4	yes	complemented
65	C₇×#548	C₂²	1	4	yes	complemented
66	C₇×#548	C₂²	1	4	yes	complemented
67	C₇×#548	C₂²	1	8	yes	complemented
68	C₇×#547	C₂²	1	8	yes	complemented
69	C₇×#547	C₂²	1	4	yes	complemented
70	C₇×#547	C₂²	1	2	yes	complemented
71	C₇×#547	C₂²	1	2	yes	complemented
72	C₇×#547	C₂²	1	2	yes	complemented
73	C₇×#547	C₂²	1	4	yes	complemented
74	C₇×#546	C₂²	1	8	yes	complemented
75	C₇×#546	C₂²	1	8	yes	complemented
76	C₇×#546	C₂²	1	4	yes	complemented
77	C₇×#546	C₂²	1	4	yes	complemented
78	C₇×#546	C₂²	1	8	yes	complemented
79	C₇×#546	C₂²	1	4	yes	complemented
80	C₇×#546	C₂²	1	4	yes	complemented
81	C₇×#546	C₂²	1	4	yes	complemented
82	C₇×#546	C₂²	1	8	yes	complemented
83	C₇×#546	C₂²	1	4	yes	complemented
84	C₇×#546	C₂²	1	8	yes	complemented
85	C₇×#546	C₂²	1	8	yes	complemented
86	C₇×#546	C₂²	1	8	yes	complemented
87	C₇×D₄²	C₂²	1	8	yes	complemented
88	C₇×D₄²	C₂²	1	4	yes	complemented
89	C₇×D₄²	C₂²	1	2	yes	complemented
90	C₇×D₄²	C₂²	1	2	yes	complemented
91	C₇×#543	C₂²	1	8	yes	complemented
92	C₇×#542	C₂²	1	8	yes	complemented
93	C₇×#542	C₂²	1	4	yes	complemented
94	C₇×#542	C₂²	1	4	yes	complemented
95	C₇×#542	C₂²	1	8	yes	complemented
96	C₇×#542	C₂²	1	8	yes	complemented
97	C₇×#542	C₂²	1	4	yes	complemented
98	C₇×#542	C₂²	1	4	yes	complemented
99	C₇×#542	C₂²	1	4	yes	complemented
100	C₇×#542	C₂²	1	2	yes	complemented
101	C₇×#542	C₂²	1	2	yes	complemented
102	C₇×#542	C₂²	1	4	yes	complemented
103	C₇×#541	C₂²	1	2	yes	complemented
104	C₇×#540	C₂²	1	2	yes	complemented
105	C₇×#540	C₂²	1	8	yes	complemented
106	C₇×#539	C₂²	1	2	yes	complemented
107	C₇×#539	C₂²	1	8	yes	complemented
108	C₇×#539	C₂²	1	2	yes	complemented
109	C₇×#539	C₂²	1	4	yes	complemented
110	C₇×#539	C₂²	1	8	yes	complemented
111	C₇×#538	C₂²	1	4	yes	complemented
112	C₇×#538	C₂²	1	8	yes	complemented
113	C₇×#538	C₂²	1	8	yes	complemented
114	C₇×#538	C₂²	1	8	yes	complemented
115	C₇×#538	C₂²	1	2	yes	complemented
116	C₇×#538	C₂²	1	2	yes	complemented
117	C₇×#538	C₂²	1	8	yes	complemented
118	C₇×#538	C₂²	1	8	yes	complemented
119	C₇×#538	C₂²	1	8	yes	complemented
120	C₇×#537	C₂²	1	2	yes	complemented
121	C₇×#537	C₂²	1	2	yes	complemented
122	C₇×#537	C₂²	1	2	yes	complemented
123	C₇×#537	C₂²	1	4	yes	complemented
124	C₇×#537	C₂²	1	2	yes	complemented
125	C₇×#537	C₂²	1	4	yes	complemented
126	C₇×#537	C₂²	1	4	yes	complemented
127	C₇×#537	C₂²	1	8	yes	complemented
128	C₇×#536	C₂²	1	2	yes	complemented
129	C₇×#536	C₂²	1	4	yes	complemented
130	C₇×#536	C₂²	1	2	yes	complemented
131	C₇×#536	C₂²	1	2	yes	complemented
132	C₇×#536	C₂²	1	4	yes	complemented
133	C₇×#535	C₂²	1	2	yes	complemented
134	C₇×#535	C₂²	1	2	yes	complemented
135	C₇×#535	C₂²	1	2	yes	complemented
136	C₇×#535	C₂²	1	4	yes	complemented
137	C₇×#535	C₂²	1	4	yes	complemented
138	C₇×#535	C₂²	1	8	yes	complemented
139	C₇×#534	C₂²	1	4	yes	complemented
140	C₇×#534	C₂²	1	2	yes	complemented
141	C₇×#534	C₂²	1	2	yes	complemented
142	C₇×#534	C₂²	1	8	yes	complemented
143	C₇×#533	C₂²	1	4	yes	complemented
144	C₇×#533	C₂²	1	1	yes	characteristic, complemented
145	C₇×#532	C₂²	1	1	yes	characteristic
146	C₇×#532	C₂²	1	4	yes	complemented
147	C₇×#532	C₂²	1	1	yes	characteristic, complemented
148	C₇×#532	C₂²	1	2	yes	complemented
149	C₇×#532	C₂²	1	1	yes	characteristic, complemented
150	C₇×#532	C₂²	1	4	yes	complemented
151	C₇×#532	C₂²	1	4	yes	complemented
152	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
153	C₇×#529	C₂²	1	4	yes	complemented
154	C₇×#529	C₂²	1	4	yes	complemented
155	C₇×#529	C₂²	1	4	yes	complemented
156	C₂×C₇×#126	C₂²	1	2	yes	complemented
157	C₂×C₇×#124	C₂²	1	4	yes	complemented
158	C₂×C₇×#124	C₂²	1	1	yes	characteristic, complemented
159	C₂×C₇×#124	C₂²	1	2	yes	complemented
160	C₇×#525	C₂²	1	4	yes	complemented
161	C₇×#525	C₂²	1	4	yes	complemented
162	C₇×#525	C₂²	1	2	yes	complemented
163	C₇×#525	C₂²	1	4	yes	complemented
164	C₇×#525	C₂²	1	4	yes	complemented
165	C₇×#525	C₂²	1	4	yes	complemented
166	C₂×C₇×#123	C₂²	1	2	yes	complemented
167	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
169	C₂×C₇×C₂²⋊Q₈	C₂²	1	4	yes	complemented
170	C₂×C₇×#121	C₂²	1	1	yes	characteristic
171	C₂×C₇×#121	C₂²	1	4	yes	complemented
172	C₂×C₇×#121	C₂²	1	4	yes	complemented
173	C₇×#520	C₂²	1	2	yes	complemented
174	C₇×#520	C₂²	1	2	yes	complemented
175	C₄×C₇×#41	C₂²	1	2	yes	complemented
176	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
179	#62878	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
180	C₇×2₋¹⁺⁴	—	4	8	no	—
181	C₇×H(5,𝔽₂)	—	4	8	no	—
182	C₂×C₇×#41	—	4	8	no	—
183	C₂×C₇×#41	C₂³	1	2	yes	—
184	C₂×C₇×#41	C₂³	1	2	yes	—
185	C₂×C₇×#41	C₂³	1	2	yes	—
186	C₂×C₇×#41	C₂³	1	4	yes	—
187	C₂×C₇×#41	C₂³	1	2	yes	—
188	C₂×C₇×#41	C₂³	1	2	yes	—
189	C₂×C₇×#41	C₂³	1	4	yes	—
190	C₂×C₇×#41	C₂³	1	4	yes	—
191	C₂×C₇×#41	C₂³	1	4	yes	—
192	C₂×C₇×#41	C₂³	1	4	yes	—
193	C₂×C₇×#41	C₂³	1	4	yes	—
194	C₂×C₇×#41	C₂³	1	8	yes	—
195	C₂×C₇×#41	C₂³	1	4	yes	—
196	C₂×C₇×#41	C₂³	1	8	yes	—
197	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
198	C₂²×C₇×Q₈	C₂³	1	2	yes	—
199	C₂²×C₇×Q₈	C₂³	1	4	yes	—
200	C₂²×C₇×Q₈	C₂³	1	4	yes	—
201	C₂²×C₇×Q₈	C₂³	1	2	yes	—
202	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
203	C₂²×C₇×D₄	C₂³	1	4	yes	—
204	C₂²×C₇×D₄	C₂³	1	2	yes	—
205	C₂²×C₇×D₄	C₂³	1	8	yes	—
206	C₂²×C₇×D₄	C₂³	1	4	yes	—
207	C₂²×C₇×D₄	C₂³	1	4	yes	—
208	C₂²×C₇×D₄	C₂³	1	2	yes	—
209	C₂²×C₇×D₄	C₂³	1	4	yes	—
210	C₂²×C₇×D₄	C₂³	1	8	yes	—
211	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₇	C₂³	1	4	yes	—
213	C₂³×C₄×C₇	C₂³	1	2	yes	—
214	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
216	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₇×C₄⋊Q₈	C₂³	1	2	yes	—
218	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
219	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₇×C₄⋊Q₈	C₂³	1	4	yes	—
222	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₇×C₄⋊Q₈	C₂³	1	8	yes	—
225	C₇×#127	C₂³	1	1	yes	characteristic
226	C₇×#127	C₂³	1	2	yes	—
227	C₇×#127	C₂³	1	4	yes	—
228	C₇×#127	C₂³	1	1	yes	characteristic
229	C₇×#127	C₂³	1	4	yes	—
230	C₇×#127	C₂³	1	1	yes	characteristic
231	C₇×#127	C₂³	1	8	yes	—
232	C₇×#126	C₂³	1	8	yes	—
233	C₇×#126	C₂³	1	8	yes	—
234	C₇×#126	C₂³	1	4	yes	—
235	C₇×#126	C₂³	1	4	yes	—
236	C₇×#126	C₂³	1	4	yes	—
237	C₇×#126	C₂³	1	4	yes	—
238	C₇×#126	C₂³	1	8	yes	—
239	C₇×#126	C₂³	1	8	yes	—
240	C₇×#126	C₂³	1	8	yes	—
241	C₇×#126	C₂³	1	8	yes	—
242	C₇×#126	C₂³	1	8	yes	—
243	C₇×#125	C₂³	1	4	yes	—
244	C₇×#125	C₂³	1	4	yes	—
245	C₇×#125	C₂³	1	4	yes	—
246	C₇×#125	C₂³	1	8	yes	—
247	C₇×#125	C₂³	1	2	yes	—
248	C₇×#125	C₂³	1	8	yes	—
249	C₇×#124	C₂³	1	2	yes	—
250	C₇×#124	C₂³	1	4	yes	—
251	C₇×#124	C₂³	1	4	yes	—
252	C₇×#124	C₂³	1	4	yes	—
253	C₇×#124	C₂³	1	8	yes	—
254	C₇×#124	C₂³	1	8	yes	—
255	C₇×#124	C₂³	1	4	yes	—
256	C₇×#124	C₂³	1	8	yes	—
257	C₇×#124	C₂³	1	8	yes	—
258	C₇×#124	C₂³	1	4	yes	—
259	C₇×#124	C₂³	1	4	yes	—
260	C₇×#124	C₂³	1	4	yes	—
261	C₇×#124	C₂³	1	2	yes	—
262	C₇×#124	C₂³	1	2	yes	—
263	C₇×#124	C₂³	1	2	yes	—
264	C₇×#124	C₂³	1	8	yes	—
265	C₇×#124	C₂³	1	8	yes	—
266	C₇×#124	C₂³	1	2	yes	—
267	C₇×#124	C₂³	1	8	yes	—
268	C₇×#124	C₂³	1	8	yes	—
269	C₇×#124	C₂³	1	8	yes	—
270	C₇×#124	C₂³	1	8	yes	—
271	C₇×#124	C₂³	1	8	yes	—
272	C₇×#123	C₂³	1	8	yes	—
273	C₇×#123	C₂³	1	8	yes	—
274	C₇×#123	C₂³	1	4	yes	—
275	C₇×#123	C₂³	1	4	yes	—
276	C₇×#123	C₂³	1	4	yes	—
277	C₇×#123	C₂³	1	4	yes	—
278	C₇×#123	C₂³	1	8	yes	—
279	C₇×#123	C₂³	1	8	yes	—
280	C₇×#123	C₂³	1	8	yes	—
281	C₇×#123	C₂³	1	4	yes	—
282	C₇×#123	C₂³	1	8	yes	—
283	C₇×#123	C₂³	1	4	yes	—
284	C₇×#123	C₂³	1	4	yes	—
285	C₇×#123	C₂³	1	4	yes	—
286	C₇×#123	C₂³	1	4	yes	—
287	C₇×#123	C₂³	1	8	yes	—
288	C₇×#123	C₂³	1	8	yes	—
289	C₇×#123	C₂³	1	8	yes	—
290	C₇×#123	C₂³	1	8	yes	—
291	C₇×#123	C₂³	1	8	yes	—
292	C₇×#123	C₂³	1	8	yes	—
293	C₇×#123	C₂³	1	8	yes	—
294	C₇×#123	C₂³	1	8	yes	—
295	C₇×#123	C₂³	1	8	yes	—
296	C₇×#123	C₂³	1	8	yes	—
297	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
298	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
299	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
301	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
304	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
305	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
307	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
308	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
309	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₇×C₂²⋊Q₈	C₂³	1	2	yes	—
316	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
320	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
322	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
324	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₇×#121	C₂³	1	4	yes	—
331	C₇×#121	C₂³	1	4	yes	—
332	C₇×#121	C₂³	1	2	yes	—
333	C₇×#121	C₂³	1	2	yes	—
334	C₇×#121	C₂³	1	2	yes	—
335	C₇×#121	C₂³	1	8	yes	—
336	C₇×#121	C₂³	1	4	yes	—
337	C₇×#121	C₂³	1	4	yes	—
338	C₇×#121	C₂³	1	8	yes	—
339	C₇×#121	C₂³	1	8	yes	—
340	C₇×#121	C₂³	1	4	yes	—
341	C₇×#121	C₂³	1	8	yes	—
342	C₇×#121	C₂³	1	4	yes	—
343	C₇×#121	C₂³	1	2	yes	—
344	C₇×#121	C₂³	1	2	yes	—
345	C₇×#121	C₂³	1	4	yes	—
346	C₇×#121	C₂³	1	4	yes	—
347	C₇×#121	C₂³	1	4	yes	—
348	C₇×#121	C₂³	1	4	yes	—
349	C₇×#121	C₂³	1	4	yes	—
350	C₇×#121	C₂³	1	4	yes	—
351	C₇×#121	C₂³	1	4	yes	—
352	C₇×#121	C₂³	1	2	yes	—
353	C₇×#121	C₂³	1	4	yes	—
354	C₇×#121	C₂³	1	4	yes	—
355	C₇×#121	C₂³	1	2	yes	—
356	C₇×#121	C₂³	1	2	yes	—
357	C₇×#121	C₂³	1	4	yes	—
358	C₇×#121	C₂³	1	4	yes	—
359	C₇×#121	C₂³	1	8	yes	—
360	C₇×#121	C₂³	1	8	yes	—
361	C₇×#121	C₂³	1	8	yes	—
362	C₇×#121	C₂³	1	4	yes	—
363	C₇×#121	C₂³	1	4	yes	—
364	C₇×#121	C₂³	1	8	yes	—
365	C₇×#121	C₂³	1	8	yes	—
366	C₇×#121	C₂³	1	8	yes	—
367	C₇×#121	C₂³	1	8	yes	—
368	C₇×#121	C₂³	1	8	yes	—
369	C₇×#121	C₂³	1	8	yes	—
370	C₇×#121	C₂³	1	8	yes	—
371	C₇×#121	C₂³	1	8	yes	—
372	C₇×#121	C₂³	1	8	yes	—
373	C₇×#121	C₂³	1	8	yes	—
374	C₇×#121	C₂³	1	8	yes	—
375	C₇×#121	C₂³	1	8	yes	—
376	C₇×#120	C₂³	1	4	yes	—
377	C₇×#120	C₂³	1	4	yes	—
378	C₇×#120	C₂³	1	4	yes	—
379	C₇×#120	C₂³	1	8	yes	—
380	C₇×#120	C₂³	1	4	yes	—
381	C₇×#120	C₂³	1	8	yes	—
382	C₇×#120	C₂³	1	4	yes	—
383	C₇×#120	C₂³	1	8	yes	—
384	C₇×#120	C₂³	1	8	yes	—
385	C₇×#120	C₂³	1	8	yes	—
386	C₇×#120	C₂³	1	8	yes	—
387	C₇×#120	C₂³	1	8	yes	—
388	C₇×#120	C₂³	1	8	yes	—
389	C₇×#120	C₂³	1	8	yes	—
390	C₄×C₇×Q₈	C₂³	1	2	yes	—
391	C₄×C₇×Q₈	C₂³	1	2	yes	—
392	C₄×C₇×Q₈	C₂³	1	2	yes	—
393	C₄×C₇×Q₈	C₂³	1	2	yes	—
394	C₄×C₇×Q₈	C₂³	1	2	yes	—
395	C₄×C₇×Q₈	C₂³	1	2	yes	—
396	C₄×C₇×Q₈	C₂³	1	4	yes	—
397	C₄×C₇×Q₈	C₂³	1	4	yes	—
398	C₄×C₇×Q₈	C₂³	1	2	yes	—
399	C₄×C₇×Q₈	C₂³	1	2	yes	—
400	C₄×C₇×Q₈	C₂³	1	4	yes	—
401	C₄×C₇×Q₈	C₂³	1	8	yes	—
402	C₄×C₇×D₄	C₂³	1	2	yes	—
403	C₄×C₇×D₄	C₂³	1	2	yes	—
404	C₄×C₇×D₄	C₂³	1	2	yes	—
405	C₄×C₇×D₄	C₂³	1	2	yes	—
406	C₄×C₇×D₄	C₂³	1	4	yes	—
407	C₄×C₇×D₄	C₂³	1	4	yes	—
408	C₄×C₇×D₄	C₂³	1	2	yes	—
409	C₄×C₇×D₄	C₂³	1	2	yes	—
410	C₄×C₇×D₄	C₂³	1	8	yes	—
411	C₄×C₇×D₄	C₂³	1	8	yes	—
412	C₄×C₇×D₄	C₂³	1	4	yes	—
413	C₄×C₇×D₄	C₂³	1	4	yes	—
414	C₄×C₇×D₄	C₂³	1	2	yes	—
415	C₄×C₇×D₄	C₂³	1	2	yes	—
416	C₄×C₇×D₄	C₂³	1	4	yes	—
417	C₄×C₇×D₄	C₂³	1	4	yes	—
418	C₄×C₇×D₄	C₂³	1	2	yes	—
419	C₄×C₇×D₄	C₂³	1	2	yes	—
420	C₄×C₇×D₄	C₂³	1	4	yes	—
421	C₄×C₇×D₄	C₂³	1	4	yes	—
422	C₄×C₇×D₄	C₂³	1	8	yes	—
423	C₄×C₇×D₄	C₂³	1	8	yes	—
424	C₄×C₇×D₄	C₂³	1	8	yes	—
425	C₄×C₇×D₄	C₂³	1	8	yes	—
426	C₄×C₇×D₄	C₂³	1	8	yes	—
427	C₄×C₇×D₄	C₂³	1	2	yes	—
428	C₄×C₇×D₄	C₂³	1	2	yes	—
429	C₄×C₇×D₄	C₂³	1	4	yes	—
430	C₄×C₇×D₄	C₂³	1	8	yes	—
431	C₄×C₇×D₄	C₂³	1	8	yes	—
432	C₄×C₇×D₄	C₂³	1	4	yes	—
433	C₄×C₇×D₄	C₂³	1	4	yes	—
434	C₄×C₇×D₄	C₂³	1	8	yes	—
435	C₄×C₇×D₄	C₂³	1	8	yes	—
436	C₇×#117	C₂³	1	2	yes	—
437	C₇×#117	C₂³	1	2	yes	—
438	C₇×#117	C₂³	1	2	yes	—
439	C₇×#117	C₂³	1	2	yes	—
440	C₇×#117	C₂³	1	2	yes	—
441	C₇×#117	C₂³	1	4	yes	—
442	C₇×#117	C₂³	1	4	yes	—
443	C₇×#117	C₂³	1	4	yes	—
444	C₇×#117	C₂³	1	4	yes	—
445	C₇×#117	C₂³	1	8	yes	—
446	C₇×#117	C₂³	1	8	yes	—
447	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
450	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
451	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
452	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
453	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
454	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
455	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
456	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	—
457	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
458	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
460	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
461	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
462	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
463	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
464	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
465	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
466	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
467	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
468	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
469	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	—
470	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
471	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
472	C₂×C₄²×C₇	C₂³	1	2	yes	—
473	C₂×C₄²×C₇	C₂³	1	4	yes	—
474	#3561	C₂×C₇	1	4	yes	complemented
475	#3560	C₂×C₇	1	4	yes	complemented
476	#3558	C₂×C₇	1	4	yes	complemented
477	#3558	C₂×C₇	1	4	yes	complemented
478	#3554	C₂×C₇	1	4	yes	complemented
479	#3546	C₂×C₇	1	4	yes	complemented
480	#3542	C₂×C₇	1	4	yes	complemented
481	#3541	C₂×C₇	1	4	yes	complemented
482	#3540	C₂×C₇	1	4	yes	complemented
483	#3536	C₂×C₇	1	4	yes	complemented
484	#3536	C₂×C₇	1	4	yes	complemented
485	#3534	C₂×C₇	1	4	yes	complemented
486	#3511	C₂×C₇	1	2	yes	complemented
487	#3507	C₂×C₇	1	1	yes	characteristic, complemented
488	#3506	C₂×C₇	1	1	yes	characteristic, complemented
489	#3500	C₂×C₇	1	2	yes	complemented
490	#3497	C₂×C₇	1	1	yes	characteristic, complemented
491	#3496	C₂×C₇	1	1	yes	characteristic, complemented
492	#3489	C₂×C₇	1	2	yes	complemented
493	#3488	C₂×C₇	1	2	yes	complemented
494	#3455	C₂×C₇	1	1	yes	characteristic, complemented
495	C₂×#542	C₂×C₇	1	1	yes	characteristic, complemented
496	#3449	C₂×C₇	1	1	yes	characteristic, complemented
497	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
498	C₂⁴×C₇	C₂⁴	1	2	yes	—
499	C₂⁴×C₇	C₂⁴	1	8	yes	—
500	C₂⁴×C₇	C₂⁴	1	4	yes	—
501	C₇×#41	—	2	8	no	—
502	C₇×#41	—	2	8	no	—
503	C₇×#41	—	2	8	no	—
504	C₇×#41	—	4	8	no	—
505	C₇×#41	—	4	8	no	—
506	C₇×#41	—	4	16	no	—
507	C₇×#41	—	4	4	no	—
508	C₇×#41	—	4	4	no	—
509	C₇×#41	—	4	8	no	—
510	C₇×#41	—	4	8	no	—
511	C₇×#41	—	4	8	no	—
512	C₇×#41	—	4	8	no	—
513	C₇×#41	—	8	4	no	—
514	C₇×#41	—	8	8	no	—
515	C₂×C₇×Q₈	—	2	4	no	—
516	C₂×C₇×Q₈	—	4	4	no	—
517	C₂×C₇×Q₈	—	4	8	no	—
518	C₂×C₇×Q₈	—	4	8	no	—
519	C₂×C₇×Q₈	—	8	2	no	—
520	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
521	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
522	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
523	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
524	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
525	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
526	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
527	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
528	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
529	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
530	C₂×C₇×D₄	—	2	4	no	—
531	C₂×C₇×D₄	—	4	4	no	—
532	C₂×C₇×D₄	—	4	8	no	—
533	C₂×C₇×D₄	—	4	8	no	—
534	C₂×C₇×D₄	—	4	8	no	—
535	C₂×C₇×D₄	—	4	16	no	—
536	C₂×C₇×D₄	—	8	4	no	—
537	C₂×C₇×D₄	—	8	2	no	—
538	C₂×C₇×D₄	—	8	8	no	—
539	C₂×C₇×D₄	C₂⁴	1	4	yes	—
540	C₂×C₇×D₄	C₂⁴	1	4	yes	—
541	C₂×C₇×D₄	C₂⁴	1	4	yes	—
542	C₂×C₇×D₄	C₂⁴	1	2	yes	—
543	C₂×C₇×D₄	C₂⁴	1	2	yes	—
544	C₂×C₇×D₄	C₂⁴	1	2	yes	—
545	C₂×C₇×D₄	C₂⁴	1	2	yes	—
546	C₂×C₇×D₄	C₂⁴	1	2	yes	—
547	C₂×C₇×D₄	C₂⁴	1	2	yes	—
548	C₂×C₇×D₄	C₂⁴	1	4	yes	—
549	C₂×C₇×D₄	C₂⁴	1	4	yes	—
550	C₂×C₇×D₄	C₂⁴	1	8	yes	—
551	C₂×C₇×D₄	C₂⁴	1	2	yes	—
552	C₂×C₇×D₄	C₂⁴	1	2	yes	—
553	C₂×C₇×D₄	C₂⁴	1	4	yes	—
554	C₂×C₇×D₄	C₂⁴	1	8	yes	—
555	C₂×C₇×D₄	C₂⁴	1	2	yes	—
556	C₂×C₇×D₄	C₂⁴	1	8	yes	—
557	C₂×C₇×D₄	C₂⁴	1	2	yes	—
558	C₂×C₇×D₄	C₂⁴	1	8	yes	—
559	C₂×C₇×D₄	C₂⁴	1	4	yes	—
560	C₂×C₇×D₄	C₂⁴	1	8	yes	—
561	C₂×C₇×D₄	C₂⁴	1	2	yes	—
562	C₂×C₇×D₄	C₂⁴	1	4	yes	—
563	C₂×C₇×D₄	C₂⁴	1	8	yes	—
564	C₂×C₇×D₄	C₂⁴	1	4	yes	—
565	C₂×C₇×D₄	C₂⁴	1	8	yes	—
566	C₂×C₇×D₄	C₂⁴	1	4	yes	—
567	C₂×C₇×D₄	C₂⁴	1	8	yes	—
568	C₂²×C₄×C₇	—	2	4	no	—
569	C₂²×C₄×C₇	—	4	8	no	—
570	C₂²×C₄×C₇	—	8	2	no	—
571	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
572	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
573	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
575	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
576	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
577	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
578	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
582	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
583	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
584	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
586	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
587	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
588	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
589	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
590	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
591	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
592	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
593	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
594	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
595	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
596	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
597	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
600	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
601	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
602	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
604	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
605	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
606	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
607	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
608	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
609	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
610	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
611	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
612	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
613	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
614	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
615	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
616	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
617	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
618	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
619	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
620	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
621	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
622	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
623	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
625	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
626	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
627	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
628	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
629	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
630	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
631	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
632	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
634	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
637	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
638	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
639	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
640	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
641	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
642	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
643	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
644	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
645	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
646	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
647	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
648	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
649	C₇×C₂²⋊C₄	C₂⁴	1	2	yes	—
650	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
651	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
652	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
653	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
654	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
655	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
656	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
657	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
658	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
659	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
661	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
662	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
663	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
664	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
665	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
666	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
667	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
668	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
669	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₄²×C₇	C₂⁴	1	2	yes	—
671	C₄²×C₇	C₂⁴	1	1	yes	characteristic
672	C₄²×C₇	C₂⁴	1	2	yes	—
673	C₄²×C₇	C₂⁴	1	1	yes	characteristic
674	C₄²×C₇	C₂⁴	1	1	yes	characteristic
675	C₄²×C₇	C₂⁴	1	4	yes	—
676	C₄²×C₇	C₂⁴	1	1	yes	characteristic
677	C₄²×C₇	C₂⁴	1	4	yes	—
678	C₄²×C₇	C₂⁴	1	4	yes	—
679	C₄²×C₇	C₂⁴	1	4	yes	—
680	C₄²×C₇	C₂⁴	1	4	yes	—
681	C₄²×C₇	C₂⁴	1	8	yes	—
682	C₄²×C₇	C₂⁴	1	8	yes	—
683	C₂×2₋¹⁺⁴	C₂²×C₇	1	2	yes	complemented
684	C₂×H(5,𝔽₂)	C₂²×C₇	1	2	yes	complemented
685	C₂²×#41	C₂²×C₇	1	2	yes	complemented
686	#563	C₂²×C₇	1	8	yes	complemented
687	#562	C₂²×C₇	1	8	yes	complemented
688	#562	C₂²×C₇	1	8	yes	complemented
689	#562	C₂²×C₇	1	8	yes	complemented
690	#562	C₂²×C₇	1	8	yes	complemented
691	H(3,𝔽₄)	C₂²×C₇	1	8	yes	complemented
692	#560	C₂²×C₇	1	8	yes	complemented
693	#560	C₂²×C₇	1	8	yes	complemented
694	#559	C₂²×C₇	1	4	yes	complemented
695	#559	C₂²×C₇	1	2	yes	complemented
696	#559	C₂²×C₇	1	8	yes	complemented
697	#557	C₂²×C₇	1	2	yes	complemented
698	#556	C₂²×C₇	1	2	yes	complemented
699	#556	C₂²×C₇	1	2	yes	complemented
700	#556	C₂²×C₇	1	4	yes	complemented
701	#556	C₂²×C₇	1	4	yes	complemented
702	#555	C₂²×C₇	1	2	yes	complemented
703	#555	C₂²×C₇	1	4	yes	complemented
704	#554	C₂²×C₇	1	2	yes	complemented
705	#554	C₂²×C₇	1	4	yes	complemented
706	#554	C₂²×C₇	1	8	yes	complemented
707	#553	C₂²×C₇	1	4	yes	complemented
708	#553	C₂²×C₇	1	8	yes	complemented
709	#553	C₂²×C₇	1	8	yes	complemented
710	#552	C₂²×C₇	1	4	yes	complemented
711	#551	C₂²×C₇	1	8	yes	complemented
712	#551	C₂²×C₇	1	8	yes	complemented
713	#550	C₂²×C₇	1	4	yes	complemented
714	#550	C₂²×C₇	1	2	yes	complemented
715	#550	C₂²×C₇	1	2	yes	complemented
716	#550	C₂²×C₇	1	2	yes	complemented
717	D₄×Q₈	C₂²×C₇	1	4	yes	complemented
718	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
719	D₄×Q₈	C₂²×C₇	1	2	yes	complemented
720	#548	C₂²×C₇	1	4	yes	complemented
721	#548	C₂²×C₇	1	4	yes	complemented
722	#548	C₂²×C₇	1	4	yes	complemented
723	#548	C₂²×C₇	1	4	yes	complemented
724	#548	C₂²×C₇	1	4	yes	complemented
725	#548	C₂²×C₇	1	4	yes	complemented
726	#548	C₂²×C₇	1	8	yes	complemented
727	#547	C₂²×C₇	1	8	yes	complemented
728	#547	C₂²×C₇	1	4	yes	complemented
729	#547	C₂²×C₇	1	2	yes	complemented
730	#547	C₂²×C₇	1	2	yes	complemented
731	#547	C₂²×C₇	1	2	yes	complemented
732	#547	C₂²×C₇	1	4	yes	complemented
733	#546	C₂²×C₇	1	8	yes	complemented
734	#546	C₂²×C₇	1	4	yes	complemented
735	#546	C₂²×C₇	1	8	yes	complemented
736	#546	C₂²×C₇	1	4	yes	complemented
737	#546	C₂²×C₇	1	4	yes	complemented
738	#546	C₂²×C₇	1	4	yes	complemented
739	#546	C₂²×C₇	1	8	yes	complemented
740	#546	C₂²×C₇	1	4	yes	complemented
741	#546	C₂²×C₇	1	8	yes	complemented
742	#546	C₂²×C₇	1	4	yes	complemented
743	#546	C₂²×C₇	1	8	yes	complemented
744	#546	C₂²×C₇	1	8	yes	complemented
745	#546	C₂²×C₇	1	8	yes	complemented
746	D₄²	C₂²×C₇	1	8	yes	complemented
747	D₄²	C₂²×C₇	1	4	yes	complemented
748	D₄²	C₂²×C₇	1	2	yes	complemented
749	D₄²	C₂²×C₇	1	2	yes	complemented
750	#543	C₂²×C₇	1	8	yes	complemented
751	#542	C₂²×C₇	1	4	yes	complemented
752	#542	C₂²×C₇	1	4	yes	complemented
753	#542	C₂²×C₇	1	4	yes	complemented
754	#542	C₂²×C₇	1	4	yes	complemented
755	#542	C₂²×C₇	1	2	yes	complemented
756	#542	C₂²×C₇	1	2	yes	complemented
757	#542	C₂²×C₇	1	4	yes	complemented
758	#542	C₂²×C₇	1	4	yes	complemented
759	#542	C₂²×C₇	1	8	yes	complemented
760	#542	C₂²×C₇	1	8	yes	complemented
761	#542	C₂²×C₇	1	8	yes	complemented
762	#541	C₂²×C₇	1	2	yes	complemented
763	#540	C₂²×C₇	1	2	yes	complemented
764	#540	C₂²×C₇	1	8	yes	complemented
765	#539	C₂²×C₇	1	2	yes	complemented
766	#539	C₂²×C₇	1	2	yes	complemented
767	#539	C₂²×C₇	1	4	yes	complemented
768	#539	C₂²×C₇	1	8	yes	complemented
769	#539	C₂²×C₇	1	8	yes	complemented
770	#538	C₂²×C₇	1	2	yes	complemented
771	#538	C₂²×C₇	1	2	yes	complemented
772	#538	C₂²×C₇	1	4	yes	complemented
773	#538	C₂²×C₇	1	8	yes	complemented
774	#538	C₂²×C₇	1	8	yes	complemented
775	#538	C₂²×C₇	1	8	yes	complemented
776	#538	C₂²×C₇	1	8	yes	complemented
777	#538	C₂²×C₇	1	8	yes	complemented
778	#538	C₂²×C₇	1	8	yes	complemented
779	#537	C₂²×C₇	1	2	yes	complemented
780	#537	C₂²×C₇	1	2	yes	complemented
781	#537	C₂²×C₇	1	2	yes	complemented
782	#537	C₂²×C₇	1	4	yes	complemented
783	#537	C₂²×C₇	1	2	yes	complemented
784	#537	C₂²×C₇	1	4	yes	complemented
785	#537	C₂²×C₇	1	4	yes	complemented
786	#537	C₂²×C₇	1	8	yes	complemented
787	#536	C₂²×C₇	1	2	yes	complemented
788	#536	C₂²×C₇	1	2	yes	complemented
789	#536	C₂²×C₇	1	2	yes	complemented
790	#536	C₂²×C₇	1	4	yes	complemented
791	#536	C₂²×C₇	1	4	yes	complemented
792	#535	C₂²×C₇	1	2	yes	complemented
793	#535	C₂²×C₇	1	2	yes	complemented
794	#535	C₂²×C₇	1	2	yes	complemented
795	#535	C₂²×C₇	1	4	yes	complemented
796	#535	C₂²×C₇	1	4	yes	complemented
797	#535	C₂²×C₇	1	8	yes	complemented
798	#534	C₂²×C₇	1	2	yes	complemented
799	#534	C₂²×C₇	1	2	yes	complemented
800	#534	C₂²×C₇	1	4	yes	complemented
801	#534	C₂²×C₇	1	8	yes	complemented
802	#533	C₂²×C₇	1	1	yes	characteristic, complemented
803	#533	C₂²×C₇	1	4	yes	complemented
804	#532	C₂²×C₇	1	1	yes	characteristic
805	#532	C₂²×C₇	1	1	yes	characteristic, complemented
806	#532	C₂²×C₇	1	2	yes	complemented
807	#532	C₂²×C₇	1	1	yes	characteristic, complemented
808	#532	C₂²×C₇	1	4	yes	complemented
809	#532	C₂²×C₇	1	4	yes	complemented
810	#532	C₂²×C₇	1	4	yes	complemented
811	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
812	#529	C₂²×C₇	1	4	yes	complemented
813	#529	C₂²×C₇	1	4	yes	complemented
814	#529	C₂²×C₇	1	4	yes	complemented
815	C₂×#126	C₂²×C₇	1	2	yes	complemented
816	C₂×#124	C₂²×C₇	1	1	yes	characteristic, complemented
817	C₂×#124	C₂²×C₇	1	2	yes	complemented
818	C₂×#124	C₂²×C₇	1	4	yes	complemented
819	#525	C₂²×C₇	1	4	yes	complemented
820	#525	C₂²×C₇	1	4	yes	complemented
821	#525	C₂²×C₇	1	2	yes	complemented
822	#525	C₂²×C₇	1	4	yes	complemented
823	#525	C₂²×C₇	1	4	yes	complemented
824	#525	C₂²×C₇	1	4	yes	complemented
825	C₂×#123	C₂²×C₇	1	2	yes	complemented
826	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
827	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
828	C₂×C₂²⋊Q₈	C₂²×C₇	1	4	yes	complemented
829	C₂×#121	C₂²×C₇	1	1	yes	characteristic
830	C₂×#121	C₂²×C₇	1	4	yes	complemented
831	C₂×#121	C₂²×C₇	1	4	yes	complemented
832	#520	C₂²×C₇	1	2	yes	complemented
833	#520	C₂²×C₇	1	2	yes	complemented
834	C₄×#41	C₂²×C₇	1	2	yes	complemented
835	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
836	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
837	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
838	C₂³×C₇	—	2	2	no	—
839	C₂³×C₇	—	2	4	no	—
840	C₂³×C₇	—	4	4	no	—
841	C₂³×C₇	—	4	2	no	—
842	C₂³×C₇	—	4	1	no	—
843	C₂³×C₇	—	4	4	no	—
844	C₂³×C₇	—	4	1	no	—
845	C₂³×C₇	—	4	2	no	—
846	C₂³×C₇	—	4	4	no	—
847	C₂³×C₇	—	4	8	no	—
848	C₂³×C₇	—	4	8	no	—
849	C₂³×C₇	—	4	8	no	—
850	C₂³×C₇	C₂⁵	1	2	yes	—
851	C₂³×C₇	C₂⁵	1	4	yes	—
852	C₂³×C₇	C₂⁵	1	4	yes	—
853	C₂³×C₇	C₂⁵	1	4	yes	—
854	C₂³×C₇	C₂⁵	1	4	yes	—
855	C₂³×C₇	C₂⁵	1	1	yes	characteristic
856	C₇×Q₈	—	2	4	no	—
857	C₇×Q₈	—	2	4	no	—
858	C₇×Q₈	—	2	4	no	—
859	C₇×Q₈	—	2	4	no	—
860	C₇×Q₈	—	2	4	no	—
861	C₇×Q₈	—	4	8	no	—
862	C₇×Q₈	—	4	4	no	—
863	C₇×Q₈	—	4	8	no	—
864	C₇×Q₈	—	4	2	no	—
865	C₇×Q₈	—	4	2	no	—
866	C₇×D₄	—	2	8	no	—
867	C₇×D₄	—	2	8	no	—
868	C₇×D₄	—	2	8	no	—
869	C₇×D₄	—	2	4	no	—
870	C₇×D₄	—	2	4	no	—
871	C₇×D₄	—	2	4	no	—
872	C₇×D₄	—	2	4	no	—
873	C₇×D₄	—	2	4	no	—
874	C₇×D₄	—	4	8	no	—
875	C₇×D₄	—	4	8	no	—
876	C₇×D₄	—	4	4	no	—
877	C₇×D₄	—	4	4	no	—
878	C₇×D₄	—	4	4	no	—
879	C₇×D₄	—	4	2	no	—
880	C₇×D₄	—	4	2	no	—
881	C₇×D₄	—	4	4	no	—
882	C₇×D₄	—	4	8	no	—
883	C₇×D₄	—	4	8	no	—
884	C₇×D₄	—	4	8	no	—
885	C₇×D₄	—	4	8	no	—
886	C₇×D₄	—	4	4	no	—
887	C₇×D₄	—	4	2	no	—
888	C₇×D₄	—	4	2	no	—
889	C₇×D₄	—	4	4	no	—
890	C₇×D₄	—	4	8	no	—
891	C₇×D₄	—	4	2	no	—
892	C₇×D₄	—	4	8	no	—
893	C₇×D₄	—	4	2	no	—
894	C₇×D₄	—	4	4	no	—
895	C₂×C₄×C₇	—	2	2	no	—
896	C₂×C₄×C₇	—	2	4	no	—
897	C₂×C₄×C₇	—	2	4	no	—
898	C₂×C₄×C₇	—	2	4	no	—
899	C₂×C₄×C₇	—	2	8	no	—
900	C₂×C₄×C₇	—	2	8	no	—
901	C₂×C₄×C₇	—	2	8	no	—
902	C₂×C₄×C₇	—	4	4	no	—
903	C₂×C₄×C₇	—	4	4	no	—
904	C₂×C₄×C₇	—	4	4	no	—
905	C₂×C₄×C₇	—	4	1	no	—
906	C₂×C₄×C₇	—	4	4	no	—
907	C₂×C₄×C₇	—	4	2	no	—
908	C₂×C₄×C₇	—	4	4	no	—
909	C₂×C₄×C₇	—	4	1	no	—
910	C₂×C₄×C₇	—	4	4	no	—
911	C₂×C₄×C₇	—	4	1	no	—
912	C₂×C₄×C₇	—	4	8	no	—
913	C₂×C₄×C₇	—	4	2	no	—
914	C₂×C₄×C₇	—	4	8	no	—
915	C₂×C₄×C₇	—	4	8	no	—
916	C₂×C₄×C₇	—	4	8	no	—
917	C₂×C₄×C₇	—	4	1	no	—
918	C₂×C₄×C₇	—	4	8	no	—
919	C₂×C₄×C₇	—	4	4	no	—
920	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
921	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
922	C₂×C₄×C₇	C₂⁵	1	4	yes	—
923	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
924	C₂×C₄×C₇	C₂⁵	1	2	yes	—
925	C₂×C₄×C₇	C₂⁵	1	2	yes	—
926	C₂×C₄×C₇	C₂⁵	1	4	yes	—
927	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
928	C₂×C₄×C₇	C₂⁵	1	4	yes	—
929	C₂×C₄×C₇	C₂⁵	1	4	yes	—
930	C₂×C₄×C₇	C₂⁵	1	4	yes	—
931	C₂×C₄×C₇	C₂⁵	1	4	yes	—
932	C₂×C₄×C₇	C₂⁵	1	4	yes	—
933	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
934	C₂×C₄×C₇	C₂⁵	1	4	yes	—
935	C₂×C₄×C₇	C₂⁵	1	2	yes	—
936	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
937	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
938	2₋¹⁺⁴	—	4	8	no	—
939	H(5,𝔽₂)	—	4	8	no	—
940	C₂×#41	—	4	8	no	—
941	C₂×#41	C₂³×C₇	1	2	yes	—
942	C₂×#41	C₂³×C₇	1	2	yes	—
943	C₂×#41	C₂³×C₇	1	2	yes	—
944	C₂×#41	C₂³×C₇	1	4	yes	—
945	C₂×#41	C₂³×C₇	1	4	yes	—
946	C₂×#41	C₂³×C₇	1	4	yes	—
947	C₂×#41	C₂³×C₇	1	4	yes	—
948	C₂×#41	C₂³×C₇	1	4	yes	—
949	C₂×#41	C₂³×C₇	1	8	yes	—
950	C₂×#41	C₂³×C₇	1	2	yes	—
951	C₂×#41	C₂³×C₇	1	2	yes	—
952	C₂×#41	C₂³×C₇	1	4	yes	—
953	C₂×#41	C₂³×C₇	1	4	yes	—
954	C₂×#41	C₂³×C₇	1	8	yes	—
955	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
956	C₂²×Q₈	C₂³×C₇	1	4	yes	—
957	C₂²×Q₈	C₂³×C₇	1	4	yes	—
958	C₂²×Q₈	C₂³×C₇	1	2	yes	—
959	C₂²×Q₈	C₂³×C₇	1	2	yes	—
960	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
961	C₂²×D₄	C₂³×C₇	1	8	yes	—
962	C₂²×D₄	C₂³×C₇	1	4	yes	—
963	C₂²×D₄	C₂³×C₇	1	4	yes	—
964	C₂²×D₄	C₂³×C₇	1	4	yes	—
965	C₂²×D₄	C₂³×C₇	1	2	yes	—
966	C₂²×D₄	C₂³×C₇	1	2	yes	—
967	C₂²×D₄	C₂³×C₇	1	4	yes	—
968	C₂²×D₄	C₂³×C₇	1	8	yes	—
969	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
970	C₂³×C₄	C₂³×C₇	1	4	yes	—
971	C₂³×C₄	C₂³×C₇	1	2	yes	—
972	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
973	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
974	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
975	C₄⋊Q₈	C₂³×C₇	1	2	yes	—
976	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
977	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
978	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
979	C₄⋊Q₈	C₂³×C₇	1	4	yes	—
980	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
981	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
982	C₄⋊Q₈	C₂³×C₇	1	8	yes	—
983	#127	C₂³×C₇	1	1	yes	characteristic
984	#127	C₂³×C₇	1	2	yes	—
985	#127	C₂³×C₇	1	4	yes	—
986	#127	C₂³×C₇	1	1	yes	characteristic
987	#127	C₂³×C₇	1	4	yes	—
988	#127	C₂³×C₇	1	1	yes	characteristic
989	#127	C₂³×C₇	1	8	yes	—
990	#126	C₂³×C₇	1	8	yes	—
991	#126	C₂³×C₇	1	8	yes	—
992	#126	C₂³×C₇	1	4	yes	—
993	#126	C₂³×C₇	1	4	yes	—
994	#126	C₂³×C₇	1	4	yes	—
995	#126	C₂³×C₇	1	4	yes	—
996	#126	C₂³×C₇	1	8	yes	—
997	#126	C₂³×C₇	1	8	yes	—
998	#126	C₂³×C₇	1	8	yes	—
999	#126	C₂³×C₇	1	8	yes	—
1000	#126	C₂³×C₇	1	8	yes	—
1001	#125	C₂³×C₇	1	4	yes	—
1002	#125	C₂³×C₇	1	4	yes	—
1003	#125	C₂³×C₇	1	4	yes	—
1004	#125	C₂³×C₇	1	8	yes	—
1005	#125	C₂³×C₇	1	2	yes	—
1006	#125	C₂³×C₇	1	8	yes	—
1007	#124	C₂³×C₇	1	4	yes	—
1008	#124	C₂³×C₇	1	2	yes	—
1009	#124	C₂³×C₇	1	4	yes	—
1010	#124	C₂³×C₇	1	4	yes	—
1011	#124	C₂³×C₇	1	8	yes	—
1012	#124	C₂³×C₇	1	8	yes	—
1013	#124	C₂³×C₇	1	4	yes	—
1014	#124	C₂³×C₇	1	8	yes	—
1015	#124	C₂³×C₇	1	8	yes	—
1016	#124	C₂³×C₇	1	4	yes	—
1017	#124	C₂³×C₇	1	4	yes	—
1018	#124	C₂³×C₇	1	4	yes	—
1019	#124	C₂³×C₇	1	2	yes	—
1020	#124	C₂³×C₇	1	2	yes	—
1021	#124	C₂³×C₇	1	2	yes	—
1022	#124	C₂³×C₇	1	8	yes	—
1023	#124	C₂³×C₇	1	8	yes	—
1024	#124	C₂³×C₇	1	2	yes	—
1025	#124	C₂³×C₇	1	8	yes	—
1026	#124	C₂³×C₇	1	8	yes	—
1027	#124	C₂³×C₇	1	8	yes	—
1028	#124	C₂³×C₇	1	8	yes	—
1029	#124	C₂³×C₇	1	8	yes	—
1030	#123	C₂³×C₇	1	8	yes	—
1031	#123	C₂³×C₇	1	8	yes	—
1032	#123	C₂³×C₇	1	4	yes	—
1033	#123	C₂³×C₇	1	4	yes	—
1034	#123	C₂³×C₇	1	4	yes	—
1035	#123	C₂³×C₇	1	4	yes	—
1036	#123	C₂³×C₇	1	8	yes	—
1037	#123	C₂³×C₇	1	8	yes	—
1038	#123	C₂³×C₇	1	8	yes	—
1039	#123	C₂³×C₇	1	4	yes	—
1040	#123	C₂³×C₇	1	8	yes	—
1041	#123	C₂³×C₇	1	4	yes	—
1042	#123	C₂³×C₇	1	4	yes	—
1043	#123	C₂³×C₇	1	4	yes	—
1044	#123	C₂³×C₇	1	4	yes	—
1045	#123	C₂³×C₇	1	8	yes	—
1046	#123	C₂³×C₇	1	8	yes	—
1047	#123	C₂³×C₇	1	8	yes	—
1048	#123	C₂³×C₇	1	8	yes	—
1049	#123	C₂³×C₇	1	8	yes	—
1050	#123	C₂³×C₇	1	8	yes	—
1051	#123	C₂³×C₇	1	8	yes	—
1052	#123	C₂³×C₇	1	8	yes	—
1053	#123	C₂³×C₇	1	8	yes	—
1054	#123	C₂³×C₇	1	8	yes	—
1055	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1056	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1057	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1058	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1059	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1060	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1061	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1062	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1063	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1064	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1065	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1066	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1067	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1068	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1069	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1070	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1071	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1072	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1073	C₂²⋊Q₈	C₂³×C₇	1	2	yes	—
1074	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1075	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1076	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1077	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
1078	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1079	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1080	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1081	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1082	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1083	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1084	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1085	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1086	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1087	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
1088	#121	C₂³×C₇	1	4	yes	—
1089	#121	C₂³×C₇	1	4	yes	—
1090	#121	C₂³×C₇	1	2	yes	—
1091	#121	C₂³×C₇	1	2	yes	—
1092	#121	C₂³×C₇	1	2	yes	—
1093	#121	C₂³×C₇	1	8	yes	—
1094	#121	C₂³×C₇	1	4	yes	—
1095	#121	C₂³×C₇	1	4	yes	—
1096	#121	C₂³×C₇	1	8	yes	—
1097	#121	C₂³×C₇	1	8	yes	—
1098	#121	C₂³×C₇	1	4	yes	—
1099	#121	C₂³×C₇	1	8	yes	—
1100	#121	C₂³×C₇	1	4	yes	—
1101	#121	C₂³×C₇	1	2	yes	—
1102	#121	C₂³×C₇	1	2	yes	—
1103	#121	C₂³×C₇	1	4	yes	—
1104	#121	C₂³×C₇	1	4	yes	—
1105	#121	C₂³×C₇	1	4	yes	—
1106	#121	C₂³×C₇	1	4	yes	—
1107	#121	C₂³×C₇	1	4	yes	—
1108	#121	C₂³×C₇	1	4	yes	—
1109	#121	C₂³×C₇	1	4	yes	—
1110	#121	C₂³×C₇	1	2	yes	—
1111	#121	C₂³×C₇	1	4	yes	—
1112	#121	C₂³×C₇	1	4	yes	—
1113	#121	C₂³×C₇	1	2	yes	—
1114	#121	C₂³×C₇	1	2	yes	—
1115	#121	C₂³×C₇	1	4	yes	—
1116	#121	C₂³×C₇	1	4	yes	—
1117	#121	C₂³×C₇	1	8	yes	—
1118	#121	C₂³×C₇	1	8	yes	—
1119	#121	C₂³×C₇	1	8	yes	—
1120	#121	C₂³×C₇	1	4	yes	—
1121	#121	C₂³×C₇	1	4	yes	—
1122	#121	C₂³×C₇	1	8	yes	—
1123	#121	C₂³×C₇	1	8	yes	—
1124	#121	C₂³×C₇	1	8	yes	—
1125	#121	C₂³×C₇	1	8	yes	—
1126	#121	C₂³×C₇	1	8	yes	—
1127	#121	C₂³×C₇	1	8	yes	—
1128	#121	C₂³×C₇	1	8	yes	—
1129	#121	C₂³×C₇	1	8	yes	—
1130	#121	C₂³×C₇	1	8	yes	—
1131	#121	C₂³×C₇	1	8	yes	—
1132	#121	C₂³×C₇	1	8	yes	—
1133	#121	C₂³×C₇	1	8	yes	—
1134	#120	C₂³×C₇	1	4	yes	—
1135	#120	C₂³×C₇	1	4	yes	—
1136	#120	C₂³×C₇	1	4	yes	—
1137	#120	C₂³×C₇	1	8	yes	—
1138	#120	C₂³×C₇	1	4	yes	—
1139	#120	C₂³×C₇	1	8	yes	—
1140	#120	C₂³×C₇	1	4	yes	—
1141	#120	C₂³×C₇	1	8	yes	—
1142	#120	C₂³×C₇	1	8	yes	—
1143	#120	C₂³×C₇	1	8	yes	—
1144	#120	C₂³×C₇	1	8	yes	—
1145	#120	C₂³×C₇	1	8	yes	—
1146	#120	C₂³×C₇	1	8	yes	—
1147	#120	C₂³×C₇	1	8	yes	—
1148	C₄×Q₈	C₂³×C₇	1	2	yes	—
1149	C₄×Q₈	C₂³×C₇	1	2	yes	—
1150	C₄×Q₈	C₂³×C₇	1	2	yes	—
1151	C₄×Q₈	C₂³×C₇	1	2	yes	—
1152	C₄×Q₈	C₂³×C₇	1	2	yes	—
1153	C₄×Q₈	C₂³×C₇	1	2	yes	—
1154	C₄×Q₈	C₂³×C₇	1	4	yes	—
1155	C₄×Q₈	C₂³×C₇	1	4	yes	—
1156	C₄×Q₈	C₂³×C₇	1	2	yes	—
1157	C₄×Q₈	C₂³×C₇	1	2	yes	—
1158	C₄×Q₈	C₂³×C₇	1	4	yes	—
1159	C₄×Q₈	C₂³×C₇	1	8	yes	—
1160	C₄×D₄	C₂³×C₇	1	2	yes	—
1161	C₄×D₄	C₂³×C₇	1	2	yes	—
1162	C₄×D₄	C₂³×C₇	1	2	yes	—
1163	C₄×D₄	C₂³×C₇	1	2	yes	—
1164	C₄×D₄	C₂³×C₇	1	4	yes	—
1165	C₄×D₄	C₂³×C₇	1	4	yes	—
1166	C₄×D₄	C₂³×C₇	1	2	yes	—
1167	C₄×D₄	C₂³×C₇	1	2	yes	—
1168	C₄×D₄	C₂³×C₇	1	8	yes	—
1169	C₄×D₄	C₂³×C₇	1	8	yes	—
1170	C₄×D₄	C₂³×C₇	1	4	yes	—
1171	C₄×D₄	C₂³×C₇	1	4	yes	—
1172	C₄×D₄	C₂³×C₇	1	2	yes	—
1173	C₄×D₄	C₂³×C₇	1	2	yes	—
1174	C₄×D₄	C₂³×C₇	1	4	yes	—
1175	C₄×D₄	C₂³×C₇	1	4	yes	—
1176	C₄×D₄	C₂³×C₇	1	2	yes	—
1177	C₄×D₄	C₂³×C₇	1	2	yes	—
1178	C₄×D₄	C₂³×C₇	1	4	yes	—
1179	C₄×D₄	C₂³×C₇	1	4	yes	—
1180	C₄×D₄	C₂³×C₇	1	8	yes	—
1181	C₄×D₄	C₂³×C₇	1	8	yes	—
1182	C₄×D₄	C₂³×C₇	1	8	yes	—
1183	C₄×D₄	C₂³×C₇	1	8	yes	—
1184	C₄×D₄	C₂³×C₇	1	8	yes	—
1185	C₄×D₄	C₂³×C₇	1	2	yes	—
1186	C₄×D₄	C₂³×C₇	1	2	yes	—
1187	C₄×D₄	C₂³×C₇	1	4	yes	—
1188	C₄×D₄	C₂³×C₇	1	8	yes	—
1189	C₄×D₄	C₂³×C₇	1	8	yes	—
1190	C₄×D₄	C₂³×C₇	1	4	yes	—
1191	C₄×D₄	C₂³×C₇	1	4	yes	—
1192	C₄×D₄	C₂³×C₇	1	8	yes	—
1193	C₄×D₄	C₂³×C₇	1	8	yes	—
1194	#117	C₂³×C₇	1	2	yes	—
1195	#117	C₂³×C₇	1	2	yes	—
1196	#117	C₂³×C₇	1	2	yes	—
1197	#117	C₂³×C₇	1	2	yes	—
1198	#117	C₂³×C₇	1	2	yes	—
1199	#117	C₂³×C₇	1	4	yes	—
1200	#117	C₂³×C₇	1	4	yes	—
1201	#117	C₂³×C₇	1	4	yes	—
1202	#117	C₂³×C₇	1	4	yes	—
1203	#117	C₂³×C₇	1	8	yes	—
1204	#117	C₂³×C₇	1	8	yes	—
1205	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1206	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1207	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1208	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1209	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1210	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1211	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1212	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
1213	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1214	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	—
1215	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
1216	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1217	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
1218	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1219	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1220	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1221	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1222	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1223	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1224	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1225	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
1226	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1227	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	—
1228	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1229	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1230	C₂×C₄²	C₂³×C₇	1	2	yes	—
1231	C₂×C₄²	C₂³×C₇	1	4	yes	—
1232	C₂²×C₇	—	2	1	no	—
1233	C₂²×C₇	—	2	1	no	—
1234	C₂²×C₇	—	2	2	no	—
1235	C₂²×C₇	—	2	4	no	—
1236	C₂²×C₇	—	2	4	no	—
1237	C₂²×C₇	—	2	4	no	—
1238	C₂²×C₇	—	2	4	no	—
1239	C₂²×C₇	—	2	4	no	—
1240	C₂²×C₇	—	2	4	no	—
1241	C₂²×C₇	—	2	4	no	—
1242	C₂²×C₇	—	2	4	no	—
1243	C₂²×C₇	—	2	2	no	—
1244	C₂²×C₇	—	2	4	no	—
1245	C₂²×C₇	—	2	4	no	—
1246	C₂²×C₇	—	2	2	no	—
1247	C₂²×C₇	—	2	4	no	—
1248	C₂²×C₇	—	2	4	no	—
1249	C₂²×C₇	—	8	2	no	—
1250	C₂²×C₇	—	8	4	no	—
1251	C₂²×C₇	—	8	8	no	—
1252	C₂²×C₇	—	16	8	no	—
1253	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1254	C₂²×C₇	C₂⁶	1	1	yes	characteristic
1255	C₄×C₇	—	2	2	no	—
1256	C₄×C₇	—	2	4	no	—
1257	C₄×C₇	—	2	4	no	—
1258	C₄×C₇	—	2	4	no	—
1259	C₄×C₇	—	2	4	no	—
1260	C₄×C₇	—	2	1	no	—
1261	C₄×C₇	—	2	4	no	—
1262	C₄×C₇	—	2	1	no	—
1263	C₄×C₇	—	2	4	no	—
1264	C₄×C₇	—	2	4	no	—
1265	C₄×C₇	—	2	2	no	—
1266	C₄×C₇	—	2	2	no	—
1267	C₄×C₇	—	2	1	no	—
1268	C₄×C₇	—	2	4	no	—
1269	C₄×C₇	—	2	1	no	—
1270	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1271	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
1272	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
1273	C₂⁴	C₂⁴×C₇	1	2	yes	—
1274	C₂⁴	C₂⁴×C₇	1	8	yes	—
1275	C₂⁴	C₂⁴×C₇	1	4	yes	—
1276	#41	—	2	8	no	—
1277	#41	—	2	8	no	—
1278	#41	—	2	8	no	—
1279	#41	—	4	8	no	—
1280	#41	—	4	8	no	—
1281	#41	—	4	16	no	—
1282	#41	—	4	4	no	—
1283	#41	—	4	4	no	—
1284	#41	—	4	8	no	—
1285	#41	—	4	8	no	—
1286	#41	—	4	8	no	—
1287	#41	—	4	8	no	—
1288	#41	—	8	4	no	—
1289	#41	—	8	8	no	—
1290	C₂×Q₈	—	2	4	no	—
1291	C₂×Q₈	—	4	4	no	—
1292	C₂×Q₈	—	4	8	no	—
1293	C₂×Q₈	—	4	8	no	—
1294	C₂×Q₈	—	8	2	no	—
1295	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1296	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1297	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1298	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1299	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1300	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1301	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
1302	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1303	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1304	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1305	C₂×D₄	—	2	4	no	—
1306	C₂×D₄	—	4	4	no	—
1307	C₂×D₄	—	4	8	no	—
1308	C₂×D₄	—	4	8	no	—
1309	C₂×D₄	—	4	8	no	—
1310	C₂×D₄	—	4	16	no	—
1311	C₂×D₄	—	8	4	no	—
1312	C₂×D₄	—	8	2	no	—
1313	C₂×D₄	—	8	8	no	—
1314	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1315	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1316	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1317	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1318	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1319	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1320	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1321	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1322	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1323	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1324	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1325	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1326	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1327	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1328	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1329	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1330	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1331	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1332	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1333	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1334	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1335	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1336	C₂×D₄	C₂⁴×C₇	1	2	yes	—
1337	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1338	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1339	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1340	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1341	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1342	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1343	C₂²×C₄	—	2	4	no	—
1344	C₂²×C₄	—	4	8	no	—
1345	C₂²×C₄	—	8	2	no	—
1346	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1347	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1348	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1349	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1350	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1351	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1352	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1353	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1357	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1358	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1359	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1360	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1361	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1362	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1363	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1364	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1365	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1366	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1367	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1368	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1369	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1370	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1371	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1372	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1373	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1374	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1375	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1376	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1377	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1378	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1379	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1380	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1381	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1382	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1383	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1384	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1385	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1386	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1387	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1388	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1389	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1390	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1391	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1392	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1393	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1394	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1395	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1396	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1397	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1398	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1399	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1400	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1401	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1402	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1403	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1404	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1405	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1406	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1407	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
1408	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1409	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1410	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1411	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1412	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1413	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1414	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1415	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1416	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1417	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1418	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1419	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1420	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1421	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1422	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1423	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1424	C₂²⋊C₄	C₂⁴×C₇	1	2	yes	—
1425	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1426	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1427	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1428	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1429	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1430	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1431	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1432	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1433	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1434	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1435	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1436	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1437	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1438	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1439	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1440	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1441	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1442	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1443	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1444	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1445	C₄²	C₂⁴×C₇	1	2	yes	—
1446	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1447	C₄²	C₂⁴×C₇	1	2	yes	—
1448	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1449	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1450	C₄²	C₂⁴×C₇	1	4	yes	—
1451	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1452	C₄²	C₂⁴×C₇	1	4	yes	—
1453	C₄²	C₂⁴×C₇	1	4	yes	—
1454	C₄²	C₂⁴×C₇	1	4	yes	—
1455	C₄²	C₂⁴×C₇	1	4	yes	—
1456	C₄²	C₂⁴×C₇	1	8	yes	—
1457	C₄²	C₂⁴×C₇	1	8	yes	—
1458	C₂×C₇	—	2	2	no	—
1459	C₂×C₇	—	4	4	no	—
1460	C₂×C₇	—	4	2	no	—
1461	C₂×C₇	—	4	4	no	—
1462	C₂×C₇	—	4	4	no	—
1463	C₂×C₇	—	4	4	no	—
1464	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1465	C₂×C₇	H(7,𝔽₂)	1	1	yes	characteristic
1466	C₂×C₇	2₋¹⁺⁶	1	1	yes	characteristic
1467	C₂³	—	2	2	no	—
1468	C₂³	—	2	4	no	—
1469	C₂³	—	4	4	no	—
1470	C₂³	—	4	2	no	—
1471	C₂³	—	4	1	no	—
1472	C₂³	—	4	4	no	—
1473	C₂³	—	4	1	no	—
1474	C₂³	—	4	2	no	—
1475	C₂³	—	4	4	no	—
1476	C₂³	—	4	8	no	—
1477	C₂³	—	4	8	no	—
1478	C₂³	—	4	8	no	—
1479	C₂³	C₂⁵×C₇	1	2	yes	—
1480	C₂³	C₂⁵×C₇	1	4	yes	—
1481	C₂³	C₂⁵×C₇	1	4	yes	—
1482	C₂³	C₂⁵×C₇	1	4	yes	—
1483	C₂³	C₂⁵×C₇	1	4	yes	—
1484	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1485	Q₈	—	2	4	no	—
1486	Q₈	—	2	4	no	—
1487	Q₈	—	2	4	no	—
1488	Q₈	—	2	4	no	—
1489	Q₈	—	2	4	no	—
1490	Q₈	—	4	8	no	—
1491	Q₈	—	4	4	no	—
1492	Q₈	—	4	8	no	—
1493	Q₈	—	4	2	no	—
1494	Q₈	—	4	2	no	—
1495	D₄	—	2	8	no	—
1496	D₄	—	2	8	no	—
1497	D₄	—	2	8	no	—
1498	D₄	—	2	4	no	—
1499	D₄	—	2	4	no	—
1500	D₄	—	2	4	no	—
1501	D₄	—	2	4	no	—
1502	D₄	—	2	4	no	—
1503	D₄	—	4	8	no	—
1504	D₄	—	4	8	no	—
1505	D₄	—	4	4	no	—
1506	D₄	—	4	4	no	—
1507	D₄	—	4	4	no	—
1508	D₄	—	4	2	no	—
1509	D₄	—	4	2	no	—
1510	D₄	—	4	4	no	—
1511	D₄	—	4	8	no	—
1512	D₄	—	4	8	no	—
1513	D₄	—	4	8	no	—
1514	D₄	—	4	8	no	—
1515	D₄	—	4	4	no	—
1516	D₄	—	4	2	no	—
1517	D₄	—	4	2	no	—
1518	D₄	—	4	4	no	—
1519	D₄	—	4	8	no	—
1520	D₄	—	4	2	no	—
1521	D₄	—	4	8	no	—
1522	D₄	—	4	2	no	—
1523	D₄	—	4	4	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	2	4	no	—
1526	C₂×C₄	—	2	4	no	—
1527	C₂×C₄	—	2	4	no	—
1528	C₂×C₄	—	2	8	no	—
1529	C₂×C₄	—	2	8	no	—
1530	C₂×C₄	—	2	8	no	—
1531	C₂×C₄	—	4	4	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	4	1	no	—
1535	C₂×C₄	—	4	4	no	—
1536	C₂×C₄	—	4	2	no	—
1537	C₂×C₄	—	4	4	no	—
1538	C₂×C₄	—	4	1	no	—
1539	C₂×C₄	—	4	4	no	—
1540	C₂×C₄	—	4	1	no	—
1541	C₂×C₄	—	4	8	no	—
1542	C₂×C₄	—	4	2	no	—
1543	C₂×C₄	—	4	8	no	—
1544	C₂×C₄	—	4	8	no	—
1545	C₂×C₄	—	4	8	no	—
1546	C₂×C₄	—	4	1	no	—
1547	C₂×C₄	—	4	8	no	—
1548	C₂×C₄	—	4	4	no	—
1549	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
1550	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1551	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1552	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1553	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1554	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1555	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1556	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1557	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1558	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1559	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1560	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1561	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1562	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1563	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1564	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1565	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1566	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1567	C₇	#62878	1	1	yes	characteristic, direct product factor, Sylow
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	2	4	no	—
1572	C₂²	—	2	4	no	—
1573	C₂²	—	2	4	no	—
1574	C₂²	—	2	4	no	—
1575	C₂²	—	2	4	no	—
1576	C₂²	—	2	4	no	—
1577	C₂²	—	2	4	no	—
1578	C₂²	—	2	4	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	4	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	2	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	8	2	no	—
1586	C₂²	—	8	4	no	—
1587	C₂²	—	8	8	no	—
1588	C₂²	—	16	8	no	—
1589	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1590	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1591	C₄	—	2	2	no	—
1592	C₄	—	2	4	no	—
1593	C₄	—	2	4	no	—
1594	C₄	—	2	4	no	—
1595	C₄	—	2	4	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	4	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	4	no	—
1600	C₄	—	2	4	no	—
1601	C₄	—	2	2	no	—
1602	C₄	—	2	2	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	4	no	—
1605	C₄	—	2	1	no	—
1606	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1607	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1608	C₂	—	2	2	no	—
1609	C₂	—	4	2	no	—
1610	C₂	—	4	4	no	—
1611	C₂	—	4	4	no	—
1612	C₂	—	4	4	no	—
1613	C₂	—	4	4	no	—
1614	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1615	C₂	C₇×H(7,𝔽₂)	1	1	yes	characteristic
1616	C₂	C₇×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3561	C₂	semidirect
2. C₇×#3560	C₂	semidirect
3. C₇×#3558	C₂	semidirect
4. C₇×#3558	C₂	semidirect
5. C₇×#3554	C₂	semidirect
6. C₇×#3546	C₂	semidirect
7. C₇×#3542	C₂	semidirect
8. C₇×#3541	C₂	semidirect
9. C₇×#3540	C₂	semidirect
10. C₇×#3536	C₂	semidirect
11. C₇×#3536	C₂	semidirect
12. C₇×#3534	C₂	semidirect
13. C₇×#3511	C₂	semidirect
14. C₇×#3507	C₂	semidirect
15. C₇×#3506	C₂	semidirect
16. C₇×#3500	C₂	semidirect
17. C₇×#3497	C₂	semidirect
18. C₇×#3496	C₂	semidirect
19. C₇×#3489	C₂	semidirect
20. C₇×#3488	C₂	semidirect
21. C₇×#3455	C₂	semidirect
22. C₂×C₇×#542	C₂	semidirect
23. C₇×#3449	C₂	semidirect
24. C₂×C₇×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₇×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₇×#41	C₂²	semidirect
27. C₇×#563	C₂²	semidirect
28. C₇×#562	C₂²	semidirect
29. C₇×#562	C₂²	semidirect
30. C₇×#562	C₂²	semidirect
31. C₇×#562	C₂²	semidirect
32. C₇×H(3,𝔽₄)	C₂²	semidirect
33. C₇×#560	C₂²	semidirect
34. C₇×#560	C₂²	semidirect
35. C₇×#559	C₂²	semidirect
36. C₇×#559	C₂²	semidirect
37. C₇×#559	C₂²	semidirect
38. C₇×#557	C₂²	semidirect
39. C₇×#556	C₂²	semidirect
40. C₇×#556	C₂²	semidirect
41. C₇×#556	C₂²	semidirect
42. C₇×#556	C₂²	semidirect
43. C₇×#555	C₂²	semidirect
44. C₇×#555	C₂²	semidirect
45. C₇×#554	C₂²	semidirect
46. C₇×#554	C₂²	semidirect
47. C₇×#554	C₂²	semidirect
48. C₇×#553	C₂²	semidirect
49. C₇×#553	C₂²	semidirect
50. C₇×#553	C₂²	semidirect
51. C₇×#552	C₂²	semidirect
52. C₇×#551	C₂²	semidirect
53. C₇×#551	C₂²	semidirect
54. C₇×#550	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×#548	C₂²	semidirect
66. C₇×#548	C₂²	semidirect
67. C₇×#548	C₂²	semidirect
68. C₇×#547	C₂²	semidirect
69. C₇×#547	C₂²	semidirect
70. C₇×#547	C₂²	semidirect
71. C₇×#547	C₂²	semidirect
72. C₇×#547	C₂²	semidirect
73. C₇×#547	C₂²	semidirect
74. C₇×#546	C₂²	semidirect
75. C₇×#546	C₂²	semidirect
76. C₇×#546	C₂²	semidirect
77. C₇×#546	C₂²	semidirect
78. C₇×#546	C₂²	semidirect
79. C₇×#546	C₂²	semidirect
80. C₇×#546	C₂²	semidirect
81. C₇×#546	C₂²	semidirect
82. C₇×#546	C₂²	semidirect
83. C₇×#546	C₂²	semidirect
84. C₇×#546	C₂²	semidirect
85. C₇×#546	C₂²	semidirect
86. C₇×#546	C₂²	semidirect
87. C₇×D₄²	C₂²	semidirect
88. C₇×D₄²	C₂²	semidirect
89. C₇×D₄²	C₂²	semidirect
90. C₇×D₄²	C₂²	semidirect
91. C₇×#543	C₂²	semidirect
92. C₇×#542	C₂²	semidirect
93. C₇×#542	C₂²	semidirect
94. C₇×#542	C₂²	semidirect
95. C₇×#542	C₂²	semidirect
96. C₇×#542	C₂²	semidirect
97. C₇×#542	C₂²	semidirect
98. C₇×#542	C₂²	semidirect
99. C₇×#542	C₂²	semidirect
100. C₇×#542	C₂²	semidirect
101. C₇×#542	C₂²	semidirect
102. C₇×#542	C₂²	semidirect
103. C₇×#541	C₂²	semidirect
104. C₇×#540	C₂²	semidirect
105. C₇×#540	C₂²	semidirect
106. C₇×#539	C₂²	semidirect
107. C₇×#539	C₂²	semidirect
108. C₇×#539	C₂²	semidirect
109. C₇×#539	C₂²	semidirect
110. C₇×#539	C₂²	semidirect
111. C₇×#538	C₂²	semidirect
112. C₇×#538	C₂²	semidirect
113. C₇×#538	C₂²	semidirect
114. C₇×#538	C₂²	semidirect
115. C₇×#538	C₂²	semidirect
116. C₇×#538	C₂²	semidirect
117. C₇×#538	C₂²	semidirect
118. C₇×#538	C₂²	semidirect
119. C₇×#538	C₂²	semidirect
120. C₇×#537	C₂²	semidirect
121. C₇×#537	C₂²	semidirect
122. C₇×#537	C₂²	semidirect
123. C₇×#537	C₂²	semidirect
124. C₇×#537	C₂²	semidirect
125. C₇×#537	C₂²	semidirect
126. C₇×#537	C₂²	semidirect
127. C₇×#537	C₂²	semidirect
128. C₇×#536	C₂²	semidirect
129. C₇×#536	C₂²	semidirect
130. C₇×#536	C₂²	semidirect
131. C₇×#536	C₂²	semidirect
132. C₇×#536	C₂²	semidirect
133. C₇×#535	C₂²	semidirect
134. C₇×#535	C₂²	semidirect
135. C₇×#535	C₂²	semidirect
136. C₇×#535	C₂²	semidirect
137. C₇×#535	C₂²	semidirect
138. C₇×#535	C₂²	semidirect
139. C₇×#534	C₂²	semidirect
140. C₇×#534	C₂²	semidirect
141. C₇×#534	C₂²	semidirect
142. C₇×#534	C₂²	semidirect
143. C₇×#533	C₂²	semidirect
144. C₇×#533	C₂²	semidirect
146. C₇×#532	C₂²	semidirect
147. C₇×#532	C₂²	semidirect
148. C₇×#532	C₂²	semidirect
149. C₇×#532	C₂²	semidirect
150. C₇×#532	C₂²	semidirect
151. C₇×#532	C₂²	semidirect
152. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
153. C₇×#529	C₂²	semidirect
154. C₇×#529	C₂²	semidirect
155. C₇×#529	C₂²	semidirect
156. C₂×C₇×#126	C₂²	semidirect
157. C₂×C₇×#124	C₂²	semidirect
158. C₂×C₇×#124	C₂²	semidirect
159. C₂×C₇×#124	C₂²	semidirect
160. C₇×#525	C₂²	semidirect
161. C₇×#525	C₂²	semidirect
162. C₇×#525	C₂²	semidirect
163. C₇×#525	C₂²	semidirect
164. C₇×#525	C₂²	semidirect
165. C₇×#525	C₂²	semidirect
166. C₂×C₇×#123	C₂²	semidirect
167. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
168. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
169. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
171. C₂×C₇×#121	C₂²	semidirect
172. C₂×C₇×#121	C₂²	semidirect
173. C₇×#520	C₂²	semidirect
174. C₇×#520	C₂²	semidirect
175. C₄×C₇×#41	C₂²	semidirect
176. C₂×C₄×C₇×Q₈	C₂²	semidirect
177. C₂×C₄×C₇×D₄	C₂²	semidirect
178. C₂×C₇×#117	C₂²	semidirect
179. #62878	C₇	direct (N × H)
474. #3561	C₂×C₇	semidirect
475. #3560	C₂×C₇	semidirect
476. #3558	C₂×C₇	semidirect
477. #3558	C₂×C₇	semidirect
478. #3554	C₂×C₇	semidirect
479. #3546	C₂×C₇	semidirect
480. #3542	C₂×C₇	semidirect
481. #3541	C₂×C₇	semidirect
482. #3540	C₂×C₇	semidirect
483. #3536	C₂×C₇	semidirect
484. #3536	C₂×C₇	semidirect
485. #3534	C₂×C₇	semidirect
486. #3511	C₂×C₇	semidirect
487. #3507	C₂×C₇	semidirect
488. #3506	C₂×C₇	semidirect
489. #3500	C₂×C₇	semidirect
490. #3497	C₂×C₇	semidirect
491. #3496	C₂×C₇	semidirect
492. #3489	C₂×C₇	semidirect
493. #3488	C₂×C₇	semidirect
494. #3455	C₂×C₇	semidirect
495. C₂×#542	C₂×C₇	semidirect
496. #3449	C₂×C₇	semidirect
683. C₂×2₋¹⁺⁴	C₂²×C₇	semidirect
684. C₂×H(5,𝔽₂)	C₂²×C₇	semidirect
685. C₂²×#41	C₂²×C₇	semidirect
686. #563	C₂²×C₇	semidirect
687. #562	C₂²×C₇	semidirect
688. #562	C₂²×C₇	semidirect
689. #562	C₂²×C₇	semidirect
690. #562	C₂²×C₇	semidirect
691. H(3,𝔽₄)	C₂²×C₇	semidirect
692. #560	C₂²×C₇	semidirect
693. #560	C₂²×C₇	semidirect
694. #559	C₂²×C₇	semidirect
695. #559	C₂²×C₇	semidirect
696. #559	C₂²×C₇	semidirect
697. #557	C₂²×C₇	semidirect
698. #556	C₂²×C₇	semidirect
699. #556	C₂²×C₇	semidirect
700. #556	C₂²×C₇	semidirect
701. #556	C₂²×C₇	semidirect
702. #555	C₂²×C₇	semidirect
703. #555	C₂²×C₇	semidirect
704. #554	C₂²×C₇	semidirect
705. #554	C₂²×C₇	semidirect
706. #554	C₂²×C₇	semidirect
707. #553	C₂²×C₇	semidirect
708. #553	C₂²×C₇	semidirect
709. #553	C₂²×C₇	semidirect
710. #552	C₂²×C₇	semidirect
711. #551	C₂²×C₇	semidirect
712. #551	C₂²×C₇	semidirect
713. #550	C₂²×C₇	semidirect
714. #550	C₂²×C₇	semidirect
715. #550	C₂²×C₇	semidirect
716. #550	C₂²×C₇	semidirect
717. D₄×Q₈	C₂²×C₇	semidirect
718. D₄×Q₈	C₂²×C₇	semidirect
719. D₄×Q₈	C₂²×C₇	semidirect
720. #548	C₂²×C₇	semidirect
721. #548	C₂²×C₇	semidirect
722. #548	C₂²×C₇	semidirect
723. #548	C₂²×C₇	semidirect
724. #548	C₂²×C₇	semidirect
725. #548	C₂²×C₇	semidirect
726. #548	C₂²×C₇	semidirect
727. #547	C₂²×C₇	semidirect
728. #547	C₂²×C₇	semidirect
729. #547	C₂²×C₇	semidirect
730. #547	C₂²×C₇	semidirect
731. #547	C₂²×C₇	semidirect
732. #547	C₂²×C₇	semidirect
733. #546	C₂²×C₇	semidirect
734. #546	C₂²×C₇	semidirect
735. #546	C₂²×C₇	semidirect
736. #546	C₂²×C₇	semidirect
737. #546	C₂²×C₇	semidirect
738. #546	C₂²×C₇	semidirect
739. #546	C₂²×C₇	semidirect
740. #546	C₂²×C₇	semidirect
741. #546	C₂²×C₇	semidirect
742. #546	C₂²×C₇	semidirect
743. #546	C₂²×C₇	semidirect
744. #546	C₂²×C₇	semidirect
745. #546	C₂²×C₇	semidirect
746. D₄²	C₂²×C₇	semidirect
747. D₄²	C₂²×C₇	semidirect
748. D₄²	C₂²×C₇	semidirect
749. D₄²	C₂²×C₇	semidirect
750. #543	C₂²×C₇	semidirect
751. #542	C₂²×C₇	semidirect
752. #542	C₂²×C₇	semidirect
753. #542	C₂²×C₇	semidirect
754. #542	C₂²×C₇	semidirect
755. #542	C₂²×C₇	semidirect
756. #542	C₂²×C₇	semidirect
757. #542	C₂²×C₇	semidirect
758. #542	C₂²×C₇	semidirect
759. #542	C₂²×C₇	semidirect
760. #542	C₂²×C₇	semidirect
761. #542	C₂²×C₇	semidirect
762. #541	C₂²×C₇	semidirect
763. #540	C₂²×C₇	semidirect
764. #540	C₂²×C₇	semidirect
765. #539	C₂²×C₇	semidirect
766. #539	C₂²×C₇	semidirect
767. #539	C₂²×C₇	semidirect
768. #539	C₂²×C₇	semidirect
769. #539	C₂²×C₇	semidirect
770. #538	C₂²×C₇	semidirect
771. #538	C₂²×C₇	semidirect
772. #538	C₂²×C₇	semidirect
773. #538	C₂²×C₇	semidirect
774. #538	C₂²×C₇	semidirect
775. #538	C₂²×C₇	semidirect
776. #538	C₂²×C₇	semidirect
777. #538	C₂²×C₇	semidirect
778. #538	C₂²×C₇	semidirect
779. #537	C₂²×C₇	semidirect
780. #537	C₂²×C₇	semidirect
781. #537	C₂²×C₇	semidirect
782. #537	C₂²×C₇	semidirect
783. #537	C₂²×C₇	semidirect
784. #537	C₂²×C₇	semidirect
785. #537	C₂²×C₇	semidirect
786. #537	C₂²×C₇	semidirect
787. #536	C₂²×C₇	semidirect
788. #536	C₂²×C₇	semidirect
789. #536	C₂²×C₇	semidirect
790. #536	C₂²×C₇	semidirect
791. #536	C₂²×C₇	semidirect
792. #535	C₂²×C₇	semidirect
793. #535	C₂²×C₇	semidirect
794. #535	C₂²×C₇	semidirect
795. #535	C₂²×C₇	semidirect
796. #535	C₂²×C₇	semidirect
797. #535	C₂²×C₇	semidirect
798. #534	C₂²×C₇	semidirect
799. #534	C₂²×C₇	semidirect
800. #534	C₂²×C₇	semidirect
801. #534	C₂²×C₇	semidirect
802. #533	C₂²×C₇	semidirect
803. #533	C₂²×C₇	semidirect
805. #532	C₂²×C₇	semidirect
806. #532	C₂²×C₇	semidirect
807. #532	C₂²×C₇	semidirect
808. #532	C₂²×C₇	semidirect
809. #532	C₂²×C₇	semidirect
810. #532	C₂²×C₇	semidirect
811. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
812. #529	C₂²×C₇	semidirect
813. #529	C₂²×C₇	semidirect
814. #529	C₂²×C₇	semidirect
815. C₂×#126	C₂²×C₇	semidirect
816. C₂×#124	C₂²×C₇	semidirect
817. C₂×#124	C₂²×C₇	semidirect
818. C₂×#124	C₂²×C₇	semidirect
819. #525	C₂²×C₇	semidirect
820. #525	C₂²×C₇	semidirect
821. #525	C₂²×C₇	semidirect
822. #525	C₂²×C₇	semidirect
823. #525	C₂²×C₇	semidirect
824. #525	C₂²×C₇	semidirect
825. C₂×#123	C₂²×C₇	semidirect
826. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
827. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
828. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
830. C₂×#121	C₂²×C₇	semidirect
831. C₂×#121	C₂²×C₇	semidirect
832. #520	C₂²×C₇	semidirect
833. #520	C₂²×C₇	semidirect
834. C₄×#41	C₂²×C₇	semidirect
835. C₂×C₄×Q₈	C₂²×C₇	semidirect
836. C₂×C₄×D₄	C₂²×C₇	semidirect
837. C₂×#117	C₂²×C₇	semidirect
1567. C₇	#62878	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₇×#3561	2
C₇×#3560	2
C₇×#3558	2
C₇×#3554	2
C₇×#3546	2
C₇×#3542	2
C₇×#3541	2
C₇×#3540	2
C₇×#3536	2
C₇×#3534	2
C₇×#3511	2
C₇×#3507	2
C₇×#3506	2
C₇×#3500	2
C₇×#3497	2
C₇×#3496	2
C₇×#3489	2
C₇×#3488	2
C₇×#3455	2
C₂×C₇×#542	2
C₇×#3449	2
#62878	7

Subgroups — C7×#62878 #13240094

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#62878 #13240094