Subgroups — C₂×C₇×#3534 #13239937

Order 1792.

8166 conjugacy classes of subgroups.

The subgroup lattice has 1280 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3534	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₇×#562	C₂	1	2	yes	maximal, complemented
3	C₂×C₇×#560	C₂	1	2	yes	maximal, complemented
4	C₂×C₇×#553	C₂	1	2	yes	maximal, complemented
5	C₂×C₇×#551	C₂	1	2	yes	maximal, complemented
6	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
8	C₂×C₇×#546	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×D₄²	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#540	C₂	1	2	yes	maximal, complemented
11	C₂×C₇×#539	C₂	1	2	yes	maximal, complemented
12	C₂×C₇×#539	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₇×#538	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
15	C₂×C₇×#537	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₇×#534	C₂	1	2	yes	maximal, complemented
17	C₂×C₇×#534	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×C₇×#123	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
22	C₂²×C₇×#41	C₂²	1	2	yes	complemented
23	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
24	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
25	C₂³×C₇×D₄	C₂²	1	2	yes	complemented
26	C₂³×C₇×D₄	C₂²	1	2	yes	complemented
27	C₂³×C₇×D₄	C₂²	1	2	yes	complemented
28	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic, complemented
29	C₇×#562	C₂²	1	32	yes	complemented
30	C₇×#560	C₂²	1	32	yes	complemented
31	C₇×#553	C₂²	1	32	yes	complemented
32	C₇×#551	C₂²	1	32	yes	complemented
33	C₇×#546	C₂²	1	32	yes	complemented
34	C₇×#546	C₂²	1	32	yes	complemented
35	C₇×#546	C₂²	1	32	yes	complemented
36	C₇×D₄²	C₂²	1	32	yes	complemented
37	C₇×#540	C₂²	1	32	yes	complemented
38	C₇×#539	C₂²	1	32	yes	complemented
39	C₇×#539	C₂²	1	16	yes	complemented
40	C₇×#538	C₂²	1	16	yes	complemented
41	C₇×#538	C₂²	1	32	yes	complemented
42	C₇×#537	C₂²	1	16	yes	complemented
43	C₇×#534	C₂²	1	32	yes	complemented
44	C₇×#534	C₂²	1	16	yes	complemented
45	C₂×C₇×#127	C₂²	1	2	yes	complemented
46	C₂×C₇×#126	C₂²	1	2	yes	complemented
47	C₂×C₇×#126	C₂²	1	2	yes	complemented
48	C₂×C₇×#126	C₂²	1	2	yes	complemented
49	C₂×C₇×#126	C₂²	1	2	yes	complemented
50	C₂×C₇×#125	C₂²	1	2	yes	complemented
51	C₂×C₇×#125	C₂²	1	2	yes	complemented
52	C₂×C₇×#124	C₂²	1	2	yes	complemented
53	C₂×C₇×#124	C₂²	1	2	yes	complemented
54	C₂×C₇×#124	C₂²	1	2	yes	complemented
55	C₇×#525	C₂²	1	16	yes	complemented
56	C₂×C₇×#123	C₂²	1	2	yes	complemented
57	C₂×C₇×#123	C₂²	1	2	yes	complemented
58	C₂×C₇×#123	C₂²	1	2	yes	complemented
59	C₂×C₇×#123	C₂²	1	2	yes	complemented
60	C₂×C₇×#123	C₂²	1	2	yes	complemented
61	C₂×C₇×#123	C₂²	1	2	yes	complemented
62	C₂×C₇×#123	C₂²	1	2	yes	complemented
63	C₂×C₇×#123	C₂²	1	2	yes	complemented
64	C₂×C₇×#123	C₂²	1	2	yes	complemented
65	C₂×C₇×#123	C₂²	1	2	yes	complemented
66	C₂×C₇×#123	C₂²	1	2	yes	complemented
67	C₂×C₇×#123	C₂²	1	2	yes	complemented
68	C₂×C₇×#123	C₂²	1	2	yes	complemented
69	C₂×C₇×#123	C₂²	1	2	yes	complemented
70	C₂×C₇×#123	C₂²	1	16	yes	complemented
71	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
74	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
75	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
76	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
77	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
78	C₂×C₇×#121	C₂²	1	1	yes	characteristic
79	C₂×C₇×#121	C₂²	1	2	yes	—
80	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₇×#121	C₂²	1	2	yes	complemented
84	C₂×C₇×#121	C₂²	1	2	yes	complemented
85	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₇×#121	C₂²	1	2	yes	complemented
88	C₂×C₇×#121	C₂²	1	2	yes	complemented
89	C₂×C₇×#121	C₂²	1	2	yes	complemented
90	C₂×C₇×#121	C₂²	1	2	yes	complemented
91	C₂×C₇×#121	C₂²	1	2	yes	complemented
92	C₂×C₇×#121	C₂²	1	2	yes	complemented
93	C₂×C₇×#121	C₂²	1	2	yes	complemented
94	C₂×C₇×#121	C₂²	1	2	yes	complemented
95	C₂×C₇×#121	C₂²	1	2	yes	complemented
96	C₂×C₇×#121	C₂²	1	2	yes	complemented
97	C₂×C₇×#121	C₂²	1	2	yes	complemented
98	C₂×C₇×#121	C₂²	1	2	yes	complemented
99	C₂×C₇×#121	C₂²	1	16	yes	complemented
100	C₂×C₇×#120	C₂²	1	2	yes	—
101	C₂×C₇×#120	C₂²	1	2	yes	complemented
102	C₂×C₇×#120	C₂²	1	2	yes	complemented
103	C₂×C₇×#120	C₂²	1	2	yes	complemented
104	C₂×C₇×#120	C₂²	1	2	yes	complemented
105	C₂×C₇×#120	C₂²	1	2	yes	complemented
106	C₂×C₇×#120	C₂²	1	2	yes	complemented
107	C₂×C₇×#120	C₂²	1	2	yes	complemented
108	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
109	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
110	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
111	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
112	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
113	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
114	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
115	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
116	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₇×#117	C₂²	1	2	yes	complemented
118	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
123	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
124	C₂²×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
125	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
126	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	complemented
127	C₂×#3534	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
128	C₂⁵×C₇	C₂³	1	1	yes	characteristic
129	C₂⁵×C₇	C₂³	1	1	yes	characteristic
130	C₂⁵×C₇	C₂³	1	2	yes	—
131	C₂⁵×C₇	C₂³	1	2	yes	—
132	C₂×C₇×#41	—	4	4	no	—
133	C₂×C₇×#41	—	4	8	no	—
134	C₂×C₇×#41	C₂³	1	8	yes	complemented
135	C₂×C₇×#41	C₂³	1	16	yes	complemented
136	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
137	C₂²×C₇×Q₈	C₂³	1	2	yes	—
138	C₂²×C₇×D₄	—	4	4	no	—
139	C₂²×C₇×D₄	—	4	4	no	—
140	C₂²×C₇×D₄	—	4	8	no	—
141	C₂²×C₇×D₄	—	4	8	no	—
142	C₂²×C₇×D₄	—	4	8	no	—
143	C₂²×C₇×D₄	C₂³	1	2	yes	—
144	C₂²×C₇×D₄	C₂³	1	2	yes	—
145	C₂²×C₇×D₄	C₂³	1	2	yes	—
146	C₂²×C₇×D₄	C₂³	1	2	yes	—
147	C₂²×C₇×D₄	C₂³	1	2	yes	—
148	C₂²×C₇×D₄	C₂³	1	2	yes	—
149	C₂²×C₇×D₄	C₂³	1	8	yes	—
150	C₂²×C₇×D₄	C₂³	1	2	yes	—
151	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
152	C₂²×C₇×D₄	C₂³	1	2	yes	—
153	C₂²×C₇×D₄	C₂³	1	2	yes	—
154	C₂²×C₇×D₄	C₂³	1	2	yes	—
155	C₂²×C₇×D₄	C₂³	1	2	yes	—
156	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
157	C₂²×C₇×D₄	C₂³	1	2	yes	—
158	C₂²×C₇×D₄	C₂³	1	2	yes	—
159	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
160	C₂²×C₇×D₄	C₂³	1	2	yes	—
161	C₂²×C₇×D₄	C₂³	1	2	yes	—
162	C₂²×C₇×D₄	C₂³	1	2	yes	—
163	C₂²×C₇×D₄	C₂³	1	2	yes	—
164	C₂²×C₇×D₄	C₂³	1	8	yes	complemented
165	C₂²×C₇×D₄	C₂³	1	16	yes	complemented
166	C₂²×C₇×D₄	C₂³	1	16	yes	complemented
167	C₂²×C₇×D₄	C₂³	1	16	yes	complemented
168	C₂³×C₄×C₇	—	4	4	no	—
169	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
171	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
172	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
173	C₂³×C₄×C₇	C₂³	1	2	yes	—
174	C₂³×C₄×C₇	C₂³	1	2	yes	—
175	C₂³×C₄×C₇	C₂³	1	2	yes	—
176	C₂³×C₄×C₇	C₂³	1	2	yes	—
177	C₂³×C₄×C₇	C₂³	1	2	yes	—
178	C₂³×C₄×C₇	C₂³	1	2	yes	—
179	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
180	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
181	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
182	C₂³×C₄×C₇	C₂³	1	2	yes	—
183	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
184	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
185	C₂³×C₄×C₇	C₂³	1	8	yes	complemented
186	C₇×#127	C₂³	1	16	yes	complemented
187	C₇×#126	C₂³	1	16	yes	complemented
188	C₇×#126	C₂³	1	16	yes	complemented
189	C₇×#126	C₂³	1	16	yes	complemented
190	C₇×#126	C₂³	1	16	yes	complemented
191	C₇×#125	C₂³	1	16	yes	complemented
192	C₇×#125	C₂³	1	16	yes	complemented
193	C₇×#124	C₂³	1	16	yes	complemented
194	C₇×#124	C₂³	1	16	yes	complemented
195	C₇×#124	C₂³	1	16	yes	complemented
196	C₇×#123	C₂³	1	16	yes	complemented
197	C₇×#123	C₂³	1	16	yes	complemented
198	C₇×#123	C₂³	1	16	yes	complemented
199	C₇×#123	C₂³	1	16	yes	complemented
200	C₇×#123	C₂³	1	16	yes	complemented
201	C₇×#123	C₂³	1	16	yes	complemented
202	C₇×#123	C₂³	1	16	yes	complemented
203	C₇×#123	C₂³	1	16	yes	complemented
204	C₇×#123	C₂³	1	16	yes	complemented
205	C₇×#123	C₂³	1	16	yes	complemented
206	C₇×#123	C₂³	1	16	yes	complemented
207	C₇×#123	C₂³	1	16	yes	complemented
208	C₇×#123	C₂³	1	16	yes	complemented
209	C₇×#123	C₂³	1	16	yes	complemented
210	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
211	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
212	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
213	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
214	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
215	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
216	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
217	C₇×#121	C₂³	1	8	yes	—
218	C₇×#121	C₂³	1	16	yes	—
219	C₇×#121	C₂³	1	8	yes	complemented
220	C₇×#121	C₂³	1	8	yes	complemented
221	C₇×#121	C₂³	1	8	yes	complemented
222	C₇×#121	C₂³	1	16	yes	complemented
223	C₇×#121	C₂³	1	16	yes	complemented
224	C₇×#121	C₂³	1	8	yes	complemented
225	C₇×#121	C₂³	1	8	yes	complemented
226	C₇×#121	C₂³	1	16	yes	complemented
227	C₇×#121	C₂³	1	16	yes	complemented
228	C₇×#121	C₂³	1	16	yes	complemented
229	C₇×#121	C₂³	1	16	yes	complemented
230	C₇×#121	C₂³	1	16	yes	complemented
231	C₇×#121	C₂³	1	16	yes	complemented
232	C₇×#121	C₂³	1	16	yes	complemented
233	C₇×#121	C₂³	1	16	yes	complemented
234	C₇×#121	C₂³	1	16	yes	complemented
235	C₇×#121	C₂³	1	16	yes	complemented
236	C₇×#121	C₂³	1	16	yes	complemented
237	C₇×#121	C₂³	1	16	yes	complemented
238	C₇×#120	C₂³	1	16	yes	—
239	C₇×#120	C₂³	1	16	yes	complemented
240	C₇×#120	C₂³	1	16	yes	complemented
241	C₇×#120	C₂³	1	16	yes	complemented
242	C₇×#120	C₂³	1	16	yes	complemented
243	C₇×#120	C₂³	1	16	yes	complemented
244	C₇×#120	C₂³	1	16	yes	complemented
245	C₇×#120	C₂³	1	16	yes	complemented
246	C₄×C₇×D₄	C₂³	1	16	yes	complemented
247	C₄×C₇×D₄	C₂³	1	16	yes	complemented
248	C₄×C₇×D₄	C₂³	1	16	yes	complemented
249	C₄×C₇×D₄	C₂³	1	16	yes	complemented
250	C₄×C₇×D₄	C₂³	1	16	yes	complemented
251	C₄×C₇×D₄	C₂³	1	16	yes	complemented
252	C₄×C₇×D₄	C₂³	1	16	yes	complemented
253	C₄×C₇×D₄	C₂³	1	16	yes	complemented
254	C₇×#117	C₂³	1	8	yes	complemented
255	C₇×#117	C₂³	1	16	yes	complemented
256	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
260	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
261	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
268	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
269	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
270	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
271	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
272	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
273	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
274	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
275	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
276	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
277	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
278	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
279	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
285	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
295	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
296	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
298	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
299	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
300	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
301	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
302	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
303	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
304	C₂×C₇×C₂²⋊C₄	C₂³	1	8	yes	complemented
305	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
306	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	complemented
307	C₂×C₄²×C₇	C₂³	1	2	yes	—
308	C₂×C₄²×C₇	C₂³	1	2	yes	—
309	C₂×C₄²×C₇	C₂³	1	2	yes	—
310	#3534	C₂×C₇	1	32	yes	direct product factor
311	C₂×#562	C₂×C₇	1	2	yes	complemented
312	C₂×#560	C₂×C₇	1	2	yes	complemented
313	C₂×#553	C₂×C₇	1	2	yes	complemented
314	C₂×#551	C₂×C₇	1	2	yes	complemented
315	C₂×#546	C₂×C₇	1	2	yes	complemented
316	C₂×#546	C₂×C₇	1	2	yes	complemented
317	C₂×#546	C₂×C₇	1	2	yes	complemented
318	C₂×D₄²	C₂×C₇	1	2	yes	complemented
319	C₂×#540	C₂×C₇	1	2	yes	complemented
320	C₂×#539	C₂×C₇	1	2	yes	complemented
321	C₂×#539	C₂×C₇	1	1	yes	characteristic, complemented
322	C₂×#538	C₂×C₇	1	1	yes	characteristic, complemented
323	C₂×#538	C₂×C₇	1	2	yes	complemented
324	C₂×#537	C₂×C₇	1	1	yes	characteristic, complemented
325	C₂×#534	C₂×C₇	1	2	yes	complemented
326	C₂×#534	C₂×C₇	1	1	yes	characteristic, complemented
327	C₂×#525	C₂×C₇	1	1	yes	characteristic, complemented
328	C₂²×#123	C₂×C₇	1	1	yes	characteristic, complemented
329	C₂²×#121	C₂×C₇	1	1	yes	characteristic, complemented
330	C₂⁴×C₇	—	2	4	no	—
331	C₂⁴×C₇	—	2	4	no	—
332	C₂⁴×C₇	—	2	4	no	—
333	C₂⁴×C₇	—	2	8	no	—
334	C₂⁴×C₇	—	4	2	no	—
335	C₂⁴×C₇	—	4	2	no	—
336	C₂⁴×C₇	—	4	4	no	—
337	C₂⁴×C₇	—	4	4	no	—
338	C₂⁴×C₇	—	4	4	no	—
339	C₂⁴×C₇	—	4	2	no	—
340	C₂⁴×C₇	—	4	4	no	—
341	C₂⁴×C₇	—	4	4	no	—
342	C₂⁴×C₇	C₂⁴	1	2	yes	—
343	C₂⁴×C₇	C₂⁴	1	2	yes	—
344	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
345	C₂⁴×C₇	C₂⁴	1	2	yes	—
346	C₂⁴×C₇	C₂⁴	1	2	yes	—
347	C₂⁴×C₇	C₂⁴	1	4	yes	—
348	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
349	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
350	C₂⁴×C₇	C₂⁴	1	8	yes	—
351	C₂⁴×C₇	C₂⁴	1	4	yes	—
352	C₂⁴×C₇	C₂⁴	1	8	yes	—
353	C₇×#41	—	4	16	no	—
354	C₇×#41	—	4	32	no	—
355	C₂×C₇×Q₈	—	4	2	no	—
356	C₂×C₇×Q₈	—	4	4	no	—
357	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
358	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
359	C₂×C₇×D₄	—	2	8	no	—
360	C₂×C₇×D₄	—	2	8	no	—
361	C₂×C₇×D₄	—	2	8	no	—
362	C₂×C₇×D₄	—	2	8	no	—
363	C₂×C₇×D₄	—	2	8	no	—
364	C₂×C₇×D₄	—	4	2	no	—
365	C₂×C₇×D₄	—	4	4	no	—
366	C₂×C₇×D₄	—	4	2	no	—
367	C₂×C₇×D₄	—	4	4	no	—
368	C₂×C₇×D₄	—	4	4	no	—
369	C₂×C₇×D₄	—	4	4	no	—
370	C₂×C₇×D₄	—	4	4	no	—
371	C₂×C₇×D₄	—	4	4	no	—
372	C₂×C₇×D₄	—	4	4	no	—
373	C₂×C₇×D₄	—	4	4	no	—
374	C₂×C₇×D₄	—	4	16	no	—
375	C₂×C₇×D₄	—	4	4	no	—
376	C₂×C₇×D₄	—	4	4	no	—
377	C₂×C₇×D₄	—	4	4	no	—
378	C₂×C₇×D₄	—	4	2	no	—
379	C₂×C₇×D₄	—	4	4	no	—
380	C₂×C₇×D₄	—	4	16	no	—
381	C₂×C₇×D₄	—	4	32	no	—
382	C₂×C₇×D₄	—	4	32	no	—
383	C₂×C₇×D₄	—	4	32	no	—
384	C₂×C₇×D₄	C₂⁴	1	8	yes	—
385	C₂×C₇×D₄	C₂⁴	1	8	yes	—
386	C₂×C₇×D₄	C₂⁴	1	8	yes	—
387	C₂×C₇×D₄	C₂⁴	1	8	yes	—
388	C₂×C₇×D₄	C₂⁴	1	8	yes	—
389	C₂×C₇×D₄	C₂⁴	1	8	yes	—
390	C₂×C₇×D₄	C₂⁴	1	8	yes	—
391	C₂×C₇×D₄	C₂⁴	1	8	yes	—
392	C₂×C₇×D₄	C₂⁴	1	8	yes	—
393	C₂×C₇×D₄	C₂⁴	1	4	yes	—
394	C₂×C₇×D₄	C₂⁴	1	8	yes	—
395	C₂×C₇×D₄	C₂⁴	1	4	yes	—
396	C₂×C₇×D₄	C₂⁴	1	8	yes	—
397	C₂×C₇×D₄	C₂⁴	1	8	yes	—
398	C₂×C₇×D₄	C₂⁴	1	8	yes	—
399	C₂×C₇×D₄	C₂⁴	1	8	yes	—
400	C₂×C₇×D₄	C₂⁴	1	8	yes	—
401	C₂×C₇×D₄	C₂⁴	1	4	yes	—
402	C₂×C₇×D₄	C₂⁴	1	8	yes	—
403	C₂×C₇×D₄	C₂⁴	1	8	yes	—
404	C₂²×C₄×C₇	—	2	4	no	—
405	C₂²×C₄×C₇	—	2	4	no	—
406	C₂²×C₄×C₇	—	2	4	no	—
407	C₂²×C₄×C₇	—	4	2	no	—
408	C₂²×C₄×C₇	—	4	2	no	—
409	C₂²×C₄×C₇	—	4	2	no	—
410	C₂²×C₄×C₇	—	4	2	no	—
411	C₂²×C₄×C₇	—	4	16	no	—
412	C₂²×C₄×C₇	—	4	2	no	—
413	C₂²×C₄×C₇	—	4	4	no	—
414	C₂²×C₄×C₇	—	4	2	no	—
415	C₂²×C₄×C₇	—	4	4	no	—
416	C₂²×C₄×C₇	—	4	4	no	—
417	C₂²×C₄×C₇	—	4	4	no	—
418	C₂²×C₄×C₇	—	4	4	no	—
419	C₂²×C₄×C₇	—	4	4	no	—
420	C₂²×C₄×C₇	—	4	4	no	—
421	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
422	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
423	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
424	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
425	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
427	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
428	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
429	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
430	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
431	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
432	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
433	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
437	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
438	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
439	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
440	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
441	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
442	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
443	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
444	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
445	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
446	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
447	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
448	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
449	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
450	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
451	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
452	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
453	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
454	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
455	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
456	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
457	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
458	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
459	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
460	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
461	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
462	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
463	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
464	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
466	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
467	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
468	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
470	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
472	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
473	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
474	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
475	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
476	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
477	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
478	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
479	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
481	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
482	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
484	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
485	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
487	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
488	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
489	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
490	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
491	C₄²×C₇	C₂⁴	1	8	yes	—
492	C₄²×C₇	C₂⁴	1	8	yes	—
493	C₄²×C₇	C₂⁴	1	8	yes	—
494	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
495	C₂²×#41	C₂²×C₇	1	2	yes	complemented
496	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
497	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
498	C₂³×D₄	C₂²×C₇	1	2	yes	complemented
499	C₂³×D₄	C₂²×C₇	1	2	yes	complemented
500	C₂³×D₄	C₂²×C₇	1	2	yes	complemented
501	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic, complemented
502	#562	C₂²×C₇	1	32	yes	complemented
503	#560	C₂²×C₇	1	32	yes	complemented
504	#553	C₂²×C₇	1	32	yes	complemented
505	#551	C₂²×C₇	1	32	yes	complemented
506	#546	C₂²×C₇	1	32	yes	complemented
507	#546	C₂²×C₇	1	32	yes	complemented
508	#546	C₂²×C₇	1	32	yes	complemented
509	D₄²	C₂²×C₇	1	32	yes	complemented
510	#540	C₂²×C₇	1	32	yes	complemented
511	#539	C₂²×C₇	1	32	yes	complemented
512	#539	C₂²×C₇	1	16	yes	complemented
513	#538	C₂²×C₇	1	16	yes	complemented
514	#538	C₂²×C₇	1	32	yes	complemented
515	#537	C₂²×C₇	1	16	yes	complemented
516	#534	C₂²×C₇	1	32	yes	complemented
517	#534	C₂²×C₇	1	16	yes	complemented
518	C₂×#127	C₂²×C₇	1	2	yes	complemented
519	C₂×#126	C₂²×C₇	1	2	yes	complemented
520	C₂×#126	C₂²×C₇	1	2	yes	complemented
521	C₂×#126	C₂²×C₇	1	2	yes	complemented
522	C₂×#126	C₂²×C₇	1	2	yes	complemented
523	C₂×#125	C₂²×C₇	1	2	yes	complemented
524	C₂×#125	C₂²×C₇	1	2	yes	complemented
525	C₂×#124	C₂²×C₇	1	2	yes	complemented
526	C₂×#124	C₂²×C₇	1	2	yes	complemented
527	C₂×#124	C₂²×C₇	1	2	yes	complemented
528	#525	C₂²×C₇	1	16	yes	complemented
529	C₂×#123	C₂²×C₇	1	2	yes	complemented
530	C₂×#123	C₂²×C₇	1	2	yes	complemented
531	C₂×#123	C₂²×C₇	1	2	yes	complemented
532	C₂×#123	C₂²×C₇	1	2	yes	complemented
533	C₂×#123	C₂²×C₇	1	2	yes	complemented
534	C₂×#123	C₂²×C₇	1	2	yes	complemented
535	C₂×#123	C₂²×C₇	1	2	yes	complemented
536	C₂×#123	C₂²×C₇	1	2	yes	complemented
537	C₂×#123	C₂²×C₇	1	2	yes	complemented
538	C₂×#123	C₂²×C₇	1	2	yes	complemented
539	C₂×#123	C₂²×C₇	1	2	yes	complemented
540	C₂×#123	C₂²×C₇	1	2	yes	complemented
541	C₂×#123	C₂²×C₇	1	2	yes	complemented
542	C₂×#123	C₂²×C₇	1	2	yes	complemented
543	C₂×#123	C₂²×C₇	1	16	yes	complemented
544	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
545	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
546	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
547	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
548	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
549	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
550	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
551	C₂×#121	C₂²×C₇	1	1	yes	characteristic
552	C₂×#121	C₂²×C₇	1	2	yes	—
553	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
554	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
555	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
556	C₂×#121	C₂²×C₇	1	2	yes	complemented
557	C₂×#121	C₂²×C₇	1	2	yes	complemented
558	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
559	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
560	C₂×#121	C₂²×C₇	1	2	yes	complemented
561	C₂×#121	C₂²×C₇	1	2	yes	complemented
562	C₂×#121	C₂²×C₇	1	2	yes	complemented
563	C₂×#121	C₂²×C₇	1	2	yes	complemented
564	C₂×#121	C₂²×C₇	1	2	yes	complemented
565	C₂×#121	C₂²×C₇	1	2	yes	complemented
566	C₂×#121	C₂²×C₇	1	2	yes	complemented
567	C₂×#121	C₂²×C₇	1	2	yes	complemented
568	C₂×#121	C₂²×C₇	1	2	yes	complemented
569	C₂×#121	C₂²×C₇	1	2	yes	complemented
570	C₂×#121	C₂²×C₇	1	2	yes	complemented
571	C₂×#121	C₂²×C₇	1	2	yes	complemented
572	C₂×#121	C₂²×C₇	1	16	yes	complemented
573	C₂×#120	C₂²×C₇	1	2	yes	—
574	C₂×#120	C₂²×C₇	1	2	yes	complemented
575	C₂×#120	C₂²×C₇	1	2	yes	complemented
576	C₂×#120	C₂²×C₇	1	2	yes	complemented
577	C₂×#120	C₂²×C₇	1	2	yes	complemented
578	C₂×#120	C₂²×C₇	1	2	yes	complemented
579	C₂×#120	C₂²×C₇	1	2	yes	complemented
580	C₂×#120	C₂²×C₇	1	2	yes	complemented
581	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
582	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
583	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
584	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
585	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
586	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
587	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
588	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
589	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
590	C₂×#117	C₂²×C₇	1	2	yes	complemented
591	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
592	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
593	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
594	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
595	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
596	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
597	C₂²×C₂²⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
598	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
599	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	complemented
600	C₂³×C₇	—	2	2	no	—
601	C₂³×C₇	—	2	2	no	—
602	C₂³×C₇	—	2	2	no	—
603	C₂³×C₇	—	2	2	no	—
604	C₂³×C₇	—	2	8	no	—
605	C₂³×C₇	—	2	2	no	—
606	C₂³×C₇	—	2	4	no	—
607	C₂³×C₇	—	2	4	no	—
608	C₂³×C₇	—	2	4	no	—
609	C₂³×C₇	—	2	4	no	—
610	C₂³×C₇	—	2	4	no	—
611	C₂³×C₇	—	2	4	no	—
612	C₂³×C₇	—	2	4	no	—
613	C₂³×C₇	—	2	8	no	—
614	C₂³×C₇	—	2	2	no	—
615	C₂³×C₇	—	2	4	no	—
616	C₂³×C₇	—	2	4	no	—
617	C₂³×C₇	—	2	2	no	—
618	C₂³×C₇	—	2	4	no	—
619	C₂³×C₇	—	2	4	no	—
620	C₂³×C₇	—	2	4	no	—
621	C₂³×C₇	—	2	8	no	—
622	C₂³×C₇	—	2	16	no	—
623	C₂³×C₇	—	4	4	no	—
624	C₂³×C₇	—	4	4	no	—
625	C₂³×C₇	—	4	8	no	—
626	C₂³×C₇	—	4	8	no	—
627	C₂³×C₇	—	4	8	no	—
628	C₂³×C₇	—	4	4	no	—
629	C₂³×C₇	—	4	8	no	—
630	C₂³×C₇	—	4	8	no	—
631	C₂³×C₇	—	4	16	no	—
632	C₂³×C₇	—	8	16	no	—
633	C₂³×C₇	—	8	8	no	—
634	C₂³×C₇	—	8	16	no	—
635	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
636	C₂³×C₇	H(5,𝔽₂)	1	4	yes	—
637	C₂³×C₇	C₂⁵	1	4	yes	—
638	C₂³×C₇	C₂⁵	1	4	yes	—
639	C₂³×C₇	C₂⁵	1	2	yes	—
640	C₂³×C₇	C₂⁵	1	4	yes	—
641	C₂³×C₇	C₂⁵	1	4	yes	—
642	C₂³×C₇	C₂⁵	1	2	yes	—
643	C₂³×C₇	C₂⁵	1	2	yes	—
644	C₂³×C₇	C₂⁵	1	1	yes	characteristic
645	C₇×Q₈	—	4	4	no	—
646	C₇×Q₈	—	4	8	no	—
647	C₇×D₄	—	2	16	no	—
648	C₇×D₄	—	2	16	no	—
649	C₇×D₄	—	2	16	no	—
650	C₇×D₄	—	2	16	no	—
651	C₇×D₄	—	2	16	no	—
652	C₇×D₄	—	4	4	no	—
653	C₇×D₄	—	4	8	no	—
654	C₇×D₄	—	4	4	no	—
655	C₇×D₄	—	4	8	no	—
656	C₇×D₄	—	4	8	no	—
657	C₇×D₄	—	4	8	no	—
658	C₇×D₄	—	4	8	no	—
659	C₇×D₄	—	4	8	no	—
660	C₇×D₄	—	4	8	no	—
661	C₇×D₄	—	4	8	no	—
662	C₇×D₄	—	4	8	no	—
663	C₇×D₄	—	4	8	no	—
664	C₇×D₄	—	4	8	no	—
665	C₇×D₄	—	4	4	no	—
666	C₇×D₄	—	4	8	no	—
667	C₂×C₄×C₇	—	2	2	no	—
668	C₂×C₄×C₇	—	2	8	no	—
669	C₂×C₄×C₇	—	2	2	no	—
670	C₂×C₄×C₇	—	2	2	no	—
671	C₂×C₄×C₇	—	2	2	no	—
672	C₂×C₄×C₇	—	2	4	no	—
673	C₂×C₄×C₇	—	2	8	no	—
674	C₂×C₄×C₇	—	2	8	no	—
675	C₂×C₄×C₇	—	2	4	no	—
676	C₂×C₄×C₇	—	2	4	no	—
677	C₂×C₄×C₇	—	2	4	no	—
678	C₂×C₄×C₇	—	2	4	no	—
679	C₂×C₄×C₇	—	2	4	no	—
680	C₂×C₄×C₇	—	2	4	no	—
681	C₂×C₄×C₇	—	2	4	no	—
682	C₂×C₄×C₇	—	4	4	no	—
683	C₂×C₄×C₇	—	4	4	no	—
684	C₂×C₄×C₇	—	4	4	no	—
685	C₂×C₄×C₇	—	4	4	no	—
686	C₂×C₄×C₇	—	4	4	no	—
687	C₂×C₄×C₇	—	4	8	no	—
688	C₂×C₄×C₇	—	4	4	no	—
689	C₂×C₄×C₇	—	4	8	no	—
690	C₂×C₄×C₇	—	4	8	no	—
691	C₂×C₄×C₇	—	4	8	no	—
692	C₂×C₄×C₇	—	4	8	no	—
693	C₂×C₄×C₇	—	4	8	no	—
694	C₂×C₄×C₇	—	4	8	no	—
695	C₂×C₄×C₇	C₂⁵	1	4	yes	—
696	C₂×C₄×C₇	C₂⁵	1	2	yes	—
697	C₂×C₄×C₇	C₂⁵	1	4	yes	—
698	C₂×C₄×C₇	C₂⁵	1	4	yes	—
699	C₂×C₄×C₇	C₂⁵	1	4	yes	—
700	C₂×C₄×C₇	C₂⁵	1	4	yes	—
701	C₂×C₄×C₇	C₂⁵	1	4	yes	—
702	C₂×C₄×C₇	C₂⁵	1	4	yes	—
703	C₂×C₄×C₇	C₂⁵	1	4	yes	—
704	C₂×C₄×C₇	C₂⁵	1	2	yes	—
705	C₂×C₄×C₇	C₂⁵	1	2	yes	—
706	C₂×C₄×C₇	C₂⁵	1	2	yes	—
707	C₂⁵	C₂³×C₇	1	1	yes	characteristic
708	C₂⁵	C₂³×C₇	1	2	yes	—
709	C₂⁵	C₂³×C₇	1	1	yes	characteristic
710	C₂⁵	C₂³×C₇	1	2	yes	—
711	C₂×#41	—	4	4	no	—
712	C₂×#41	—	4	8	no	—
713	C₂×#41	C₂³×C₇	1	8	yes	complemented
714	C₂×#41	C₂³×C₇	1	16	yes	complemented
715	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
716	C₂²×Q₈	C₂³×C₇	1	2	yes	—
717	C₂²×D₄	—	4	4	no	—
718	C₂²×D₄	—	4	4	no	—
719	C₂²×D₄	—	4	8	no	—
720	C₂²×D₄	—	4	8	no	—
721	C₂²×D₄	—	4	8	no	—
722	C₂²×D₄	C₂³×C₇	1	2	yes	—
723	C₂²×D₄	C₂³×C₇	1	2	yes	—
724	C₂²×D₄	C₂³×C₇	1	2	yes	—
725	C₂²×D₄	C₂³×C₇	1	2	yes	—
726	C₂²×D₄	C₂³×C₇	1	2	yes	—
727	C₂²×D₄	C₂³×C₇	1	2	yes	—
728	C₂²×D₄	C₂³×C₇	1	2	yes	—
729	C₂²×D₄	C₂³×C₇	1	2	yes	—
730	C₂²×D₄	C₂³×C₇	1	2	yes	—
731	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
732	C₂²×D₄	C₂³×C₇	1	2	yes	—
733	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
734	C₂²×D₄	C₂³×C₇	1	2	yes	—
735	C₂²×D₄	C₂³×C₇	1	2	yes	—
736	C₂²×D₄	C₂³×C₇	1	2	yes	—
737	C₂²×D₄	C₂³×C₇	1	2	yes	—
738	C₂²×D₄	C₂³×C₇	1	2	yes	—
739	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
740	C₂²×D₄	C₂³×C₇	1	2	yes	—
741	C₂²×D₄	C₂³×C₇	1	2	yes	—
742	C₂²×D₄	C₂³×C₇	1	8	yes	—
743	C₂²×D₄	C₂³×C₇	1	8	yes	complemented
744	C₂²×D₄	C₂³×C₇	1	16	yes	complemented
745	C₂²×D₄	C₂³×C₇	1	16	yes	complemented
746	C₂²×D₄	C₂³×C₇	1	16	yes	complemented
747	C₂³×C₄	—	4	4	no	—
748	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
749	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
750	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
751	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
752	C₂³×C₄	C₂³×C₇	1	2	yes	—
753	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
754	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
755	C₂³×C₄	C₂³×C₇	1	2	yes	—
756	C₂³×C₄	C₂³×C₇	1	2	yes	—
757	C₂³×C₄	C₂³×C₇	1	2	yes	—
758	C₂³×C₄	C₂³×C₇	1	2	yes	—
759	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
760	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
761	C₂³×C₄	C₂³×C₇	1	2	yes	—
762	C₂³×C₄	C₂³×C₇	1	2	yes	—
763	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
764	C₂³×C₄	C₂³×C₇	1	8	yes	complemented
765	#127	C₂³×C₇	1	16	yes	complemented
766	#126	C₂³×C₇	1	16	yes	complemented
767	#126	C₂³×C₇	1	16	yes	complemented
768	#126	C₂³×C₇	1	16	yes	complemented
769	#126	C₂³×C₇	1	16	yes	complemented
770	#125	C₂³×C₇	1	16	yes	complemented
771	#125	C₂³×C₇	1	16	yes	complemented
772	#124	C₂³×C₇	1	16	yes	complemented
773	#124	C₂³×C₇	1	16	yes	complemented
774	#124	C₂³×C₇	1	16	yes	complemented
775	#123	C₂³×C₇	1	16	yes	complemented
776	#123	C₂³×C₇	1	16	yes	complemented
777	#123	C₂³×C₇	1	16	yes	complemented
778	#123	C₂³×C₇	1	16	yes	complemented
779	#123	C₂³×C₇	1	16	yes	complemented
780	#123	C₂³×C₇	1	16	yes	complemented
781	#123	C₂³×C₇	1	16	yes	complemented
782	#123	C₂³×C₇	1	16	yes	complemented
783	#123	C₂³×C₇	1	16	yes	complemented
784	#123	C₂³×C₇	1	16	yes	complemented
785	#123	C₂³×C₇	1	16	yes	complemented
786	#123	C₂³×C₇	1	16	yes	complemented
787	#123	C₂³×C₇	1	16	yes	complemented
788	#123	C₂³×C₇	1	16	yes	complemented
789	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
790	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
791	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
792	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
793	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
794	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
795	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
796	#121	C₂³×C₇	1	8	yes	—
797	#121	C₂³×C₇	1	16	yes	—
798	#121	C₂³×C₇	1	8	yes	complemented
799	#121	C₂³×C₇	1	8	yes	complemented
800	#121	C₂³×C₇	1	8	yes	complemented
801	#121	C₂³×C₇	1	16	yes	complemented
802	#121	C₂³×C₇	1	16	yes	complemented
803	#121	C₂³×C₇	1	8	yes	complemented
804	#121	C₂³×C₇	1	8	yes	complemented
805	#121	C₂³×C₇	1	16	yes	complemented
806	#121	C₂³×C₇	1	16	yes	complemented
807	#121	C₂³×C₇	1	16	yes	complemented
808	#121	C₂³×C₇	1	16	yes	complemented
809	#121	C₂³×C₇	1	16	yes	complemented
810	#121	C₂³×C₇	1	16	yes	complemented
811	#121	C₂³×C₇	1	16	yes	complemented
812	#121	C₂³×C₇	1	16	yes	complemented
813	#121	C₂³×C₇	1	16	yes	complemented
814	#121	C₂³×C₇	1	16	yes	complemented
815	#121	C₂³×C₇	1	16	yes	complemented
816	#121	C₂³×C₇	1	16	yes	complemented
817	#120	C₂³×C₇	1	16	yes	—
818	#120	C₂³×C₇	1	16	yes	complemented
819	#120	C₂³×C₇	1	16	yes	complemented
820	#120	C₂³×C₇	1	16	yes	complemented
821	#120	C₂³×C₇	1	16	yes	complemented
822	#120	C₂³×C₇	1	16	yes	complemented
823	#120	C₂³×C₇	1	16	yes	complemented
824	#120	C₂³×C₇	1	16	yes	complemented
825	C₄×D₄	C₂³×C₇	1	16	yes	complemented
826	C₄×D₄	C₂³×C₇	1	16	yes	complemented
827	C₄×D₄	C₂³×C₇	1	16	yes	complemented
828	C₄×D₄	C₂³×C₇	1	16	yes	complemented
829	C₄×D₄	C₂³×C₇	1	16	yes	complemented
830	C₄×D₄	C₂³×C₇	1	16	yes	complemented
831	C₄×D₄	C₂³×C₇	1	16	yes	complemented
832	C₄×D₄	C₂³×C₇	1	16	yes	complemented
833	#117	C₂³×C₇	1	8	yes	complemented
834	#117	C₂³×C₇	1	16	yes	complemented
835	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
836	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
839	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
840	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
841	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
842	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
844	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
846	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
847	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
848	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
849	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
850	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
851	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
852	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
853	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
854	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
855	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
861	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
865	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
869	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
877	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
879	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
880	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
881	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
882	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
883	C₂×C₂²⋊C₄	C₂³×C₇	1	8	yes	complemented
884	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
885	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	complemented
886	C₂×C₄²	C₂³×C₇	1	2	yes	—
887	C₂×C₄²	C₂³×C₇	1	2	yes	—
888	C₂×C₄²	C₂³×C₇	1	2	yes	—
889	C₂²×C₇	—	2	2	no	—
890	C₂²×C₇	—	2	2	no	—
891	C₂²×C₇	—	2	2	no	—
892	C₂²×C₇	—	2	2	no	—
893	C₂²×C₇	—	2	8	no	—
894	C₂²×C₇	—	2	8	no	—
895	C₂²×C₇	—	2	2	no	—
896	C₂²×C₇	—	2	4	no	—
897	C₂²×C₇	—	2	4	no	—
898	C₂²×C₇	—	2	4	no	—
899	C₂²×C₇	—	2	4	no	—
900	C₂²×C₇	—	2	4	no	—
901	C₂²×C₇	—	2	4	no	—
902	C₂²×C₇	—	2	4	no	—
903	C₂²×C₇	—	2	2	no	—
904	C₂²×C₇	—	2	4	no	—
905	C₂²×C₇	—	2	4	no	—
906	C₂²×C₇	—	2	2	no	—
907	C₂²×C₇	—	2	4	no	—
908	C₂²×C₇	—	2	4	no	—
909	C₂²×C₇	—	2	4	no	—
910	C₂²×C₇	—	4	16	no	—
911	C₂²×C₇	—	4	4	no	—
912	C₂²×C₇	—	4	8	no	—
913	C₂²×C₇	—	4	8	no	—
914	C₂²×C₇	—	4	8	no	—
915	C₂²×C₇	—	4	8	no	—
916	C₂²×C₇	—	8	16	no	—
917	C₂²×C₇	—	8	8	no	—
918	C₂²×C₇	—	8	16	no	—
919	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
920	C₂²×C₇	C₂×H(5,𝔽₂)	1	4	yes	—
921	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
922	C₂²×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
923	C₂²×C₇	#585	1	2	yes	—
924	C₂²×C₇	C₂⁶	1	1	yes	characteristic
925	C₄×C₇	—	2	2	no	—
926	C₄×C₇	—	2	2	no	—
927	C₄×C₇	—	2	2	no	—
928	C₄×C₇	—	2	2	no	—
929	C₄×C₇	—	2	4	no	—
930	C₄×C₇	—	2	4	no	—
931	C₄×C₇	—	2	4	no	—
932	C₄×C₇	—	2	4	no	—
933	C₄×C₇	—	2	4	no	—
934	C₄×C₇	—	2	4	no	—
935	C₄×C₇	—	2	4	no	—
936	C₄×C₇	—	2	4	no	—
937	C₂⁴	—	2	4	no	—
938	C₂⁴	—	2	4	no	—
939	C₂⁴	—	2	4	no	—
940	C₂⁴	—	2	8	no	—
941	C₂⁴	—	4	2	no	—
942	C₂⁴	—	4	2	no	—
943	C₂⁴	—	4	4	no	—
944	C₂⁴	—	4	4	no	—
945	C₂⁴	—	4	4	no	—
946	C₂⁴	—	4	2	no	—
947	C₂⁴	—	4	4	no	—
948	C₂⁴	—	4	4	no	—
949	C₂⁴	C₂⁴×C₇	1	2	yes	—
950	C₂⁴	C₂⁴×C₇	1	2	yes	—
951	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
952	C₂⁴	C₂⁴×C₇	1	2	yes	—
953	C₂⁴	C₂⁴×C₇	1	2	yes	—
954	C₂⁴	C₂⁴×C₇	1	4	yes	—
955	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
956	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
957	C₂⁴	C₂⁴×C₇	1	8	yes	—
958	C₂⁴	C₂⁴×C₇	1	4	yes	—
959	C₂⁴	C₂⁴×C₇	1	8	yes	—
960	#41	—	4	16	no	—
961	#41	—	4	32	no	—
962	C₂×Q₈	—	4	2	no	—
963	C₂×Q₈	—	4	4	no	—
964	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
965	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
966	C₂×D₄	—	2	8	no	—
967	C₂×D₄	—	2	8	no	—
968	C₂×D₄	—	2	8	no	—
969	C₂×D₄	—	2	8	no	—
970	C₂×D₄	—	2	8	no	—
971	C₂×D₄	—	4	2	no	—
972	C₂×D₄	—	4	4	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	4	no	—
977	C₂×D₄	—	4	4	no	—
978	C₂×D₄	—	4	4	no	—
979	C₂×D₄	—	4	4	no	—
980	C₂×D₄	—	4	4	no	—
981	C₂×D₄	—	4	16	no	—
982	C₂×D₄	—	4	2	no	—
983	C₂×D₄	—	4	4	no	—
984	C₂×D₄	—	4	4	no	—
985	C₂×D₄	—	4	4	no	—
986	C₂×D₄	—	4	4	no	—
987	C₂×D₄	—	4	16	no	—
988	C₂×D₄	—	4	32	no	—
989	C₂×D₄	—	4	32	no	—
990	C₂×D₄	—	4	32	no	—
991	C₂×D₄	C₂⁴×C₇	1	8	yes	—
992	C₂×D₄	C₂⁴×C₇	1	8	yes	—
993	C₂×D₄	C₂⁴×C₇	1	8	yes	—
994	C₂×D₄	C₂⁴×C₇	1	8	yes	—
995	C₂×D₄	C₂⁴×C₇	1	8	yes	—
996	C₂×D₄	C₂⁴×C₇	1	8	yes	—
997	C₂×D₄	C₂⁴×C₇	1	8	yes	—
998	C₂×D₄	C₂⁴×C₇	1	8	yes	—
999	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1000	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1001	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1002	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1003	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1004	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1005	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1006	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1007	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1008	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1009	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1010	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1011	C₂²×C₄	—	2	4	no	—
1012	C₂²×C₄	—	2	4	no	—
1013	C₂²×C₄	—	2	4	no	—
1014	C₂²×C₄	—	4	2	no	—
1015	C₂²×C₄	—	4	2	no	—
1016	C₂²×C₄	—	4	2	no	—
1017	C₂²×C₄	—	4	2	no	—
1018	C₂²×C₄	—	4	16	no	—
1019	C₂²×C₄	—	4	2	no	—
1020	C₂²×C₄	—	4	4	no	—
1021	C₂²×C₄	—	4	4	no	—
1022	C₂²×C₄	—	4	4	no	—
1023	C₂²×C₄	—	4	2	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	4	4	no	—
1027	C₂²×C₄	—	4	4	no	—
1028	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1029	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1030	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1031	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1032	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1033	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1034	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1035	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1036	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1037	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1038	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1040	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1041	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1042	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1043	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1044	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1045	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1046	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1047	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1048	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1049	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1050	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1051	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1052	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1053	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1054	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1055	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1056	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1057	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1058	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1059	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1060	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1061	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1062	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1063	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1064	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1065	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1066	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1067	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1068	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1069	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1070	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1071	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1072	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1073	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1074	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1075	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1076	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1077	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1078	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1079	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1080	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1081	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1082	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1083	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1084	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1085	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1086	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1087	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1088	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1089	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1090	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1091	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1092	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1093	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1094	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1095	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1096	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1097	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1098	C₄²	C₂⁴×C₇	1	8	yes	—
1099	C₄²	C₂⁴×C₇	1	8	yes	—
1100	C₄²	C₂⁴×C₇	1	8	yes	—
1101	C₂×C₇	—	2	4	no	—
1102	C₂×C₇	—	2	4	no	—
1103	C₂×C₇	—	4	2	no	—
1104	C₂×C₇	—	4	4	no	—
1105	C₂×C₇	—	4	4	no	—
1106	C₂×C₇	—	4	4	no	—
1107	C₂×C₇	—	4	4	no	—
1108	C₂×C₇	#3534	1	4	yes	direct product factor
1109	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1110	C₂×C₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1111	C₂×C₇	C₂×#585	1	1	yes	characteristic
1112	C₂³	—	2	2	no	—
1113	C₂³	—	2	2	no	—
1114	C₂³	—	2	2	no	—
1115	C₂³	—	2	2	no	—
1116	C₂³	—	2	8	no	—
1117	C₂³	—	2	2	no	—
1118	C₂³	—	2	4	no	—
1119	C₂³	—	2	4	no	—
1120	C₂³	—	2	4	no	—
1121	C₂³	—	2	4	no	—
1122	C₂³	—	2	4	no	—
1123	C₂³	—	2	4	no	—
1124	C₂³	—	2	4	no	—
1125	C₂³	—	2	8	no	—
1126	C₂³	—	2	2	no	—
1127	C₂³	—	2	4	no	—
1128	C₂³	—	2	4	no	—
1129	C₂³	—	2	2	no	—
1130	C₂³	—	2	4	no	—
1131	C₂³	—	2	4	no	—
1132	C₂³	—	2	4	no	—
1133	C₂³	—	2	8	no	—
1134	C₂³	—	2	16	no	—
1135	C₂³	—	4	4	no	—
1136	C₂³	—	4	4	no	—
1137	C₂³	—	4	8	no	—
1138	C₂³	—	4	8	no	—
1139	C₂³	—	4	8	no	—
1140	C₂³	—	4	4	no	—
1141	C₂³	—	4	8	no	—
1142	C₂³	—	4	8	no	—
1143	C₂³	—	4	16	no	—
1144	C₂³	—	8	16	no	—
1145	C₂³	—	8	8	no	—
1146	C₂³	—	8	16	no	—
1147	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
1148	C₂³	C₇×H(5,𝔽₂)	1	4	yes	—
1149	C₂³	C₂⁵×C₇	1	4	yes	—
1150	C₂³	C₂⁵×C₇	1	4	yes	—
1151	C₂³	C₂⁵×C₇	1	2	yes	—
1152	C₂³	C₂⁵×C₇	1	4	yes	—
1153	C₂³	C₂⁵×C₇	1	4	yes	—
1154	C₂³	C₂⁵×C₇	1	2	yes	—
1155	C₂³	C₂⁵×C₇	1	2	yes	—
1156	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1157	Q₈	—	4	4	no	—
1158	Q₈	—	4	8	no	—
1159	D₄	—	2	16	no	—
1160	D₄	—	2	16	no	—
1161	D₄	—	2	16	no	—
1162	D₄	—	2	16	no	—
1163	D₄	—	2	16	no	—
1164	D₄	—	4	4	no	—
1165	D₄	—	4	8	no	—
1166	D₄	—	4	4	no	—
1167	D₄	—	4	8	no	—
1168	D₄	—	4	8	no	—
1169	D₄	—	4	8	no	—
1170	D₄	—	4	8	no	—
1171	D₄	—	4	8	no	—
1172	D₄	—	4	8	no	—
1173	D₄	—	4	8	no	—
1174	D₄	—	4	8	no	—
1175	D₄	—	4	8	no	—
1176	D₄	—	4	8	no	—
1177	D₄	—	4	4	no	—
1178	D₄	—	4	8	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	8	no	—
1181	C₂×C₄	—	2	2	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	4	no	—
1185	C₂×C₄	—	2	8	no	—
1186	C₂×C₄	—	2	8	no	—
1187	C₂×C₄	—	2	4	no	—
1188	C₂×C₄	—	2	4	no	—
1189	C₂×C₄	—	2	4	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	4	no	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	4	no	—
1194	C₂×C₄	—	4	4	no	—
1195	C₂×C₄	—	4	4	no	—
1196	C₂×C₄	—	4	4	no	—
1197	C₂×C₄	—	4	4	no	—
1198	C₂×C₄	—	4	4	no	—
1199	C₂×C₄	—	4	8	no	—
1200	C₂×C₄	—	4	4	no	—
1201	C₂×C₄	—	4	8	no	—
1202	C₂×C₄	—	4	8	no	—
1203	C₂×C₄	—	4	8	no	—
1204	C₂×C₄	—	4	8	no	—
1205	C₂×C₄	—	4	8	no	—
1206	C₂×C₄	—	4	8	no	—
1207	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1208	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1209	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1210	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1211	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1212	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1213	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1214	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1215	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1216	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1217	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1218	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1219	C₇	C₂×#3534	1	1	yes	characteristic, direct product factor, Sylow
1220	C₂²	—	2	2	no	—
1221	C₂²	—	2	2	no	—
1222	C₂²	—	2	2	no	—
1223	C₂²	—	2	2	no	—
1224	C₂²	—	2	8	no	—
1225	C₂²	—	2	8	no	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	4	no	—
1228	C₂²	—	2	4	no	—
1229	C₂²	—	2	4	no	—
1230	C₂²	—	2	4	no	—
1231	C₂²	—	2	4	no	—
1232	C₂²	—	2	4	no	—
1233	C₂²	—	2	4	no	—
1234	C₂²	—	2	2	no	—
1235	C₂²	—	2	4	no	—
1236	C₂²	—	2	4	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	4	no	—
1239	C₂²	—	2	4	no	—
1240	C₂²	—	2	4	no	—
1241	C₂²	—	4	16	no	—
1242	C₂²	—	4	4	no	—
1243	C₂²	—	4	8	no	—
1244	C₂²	—	4	8	no	—
1245	C₂²	—	4	8	no	—
1246	C₂²	—	4	8	no	—
1247	C₂²	—	8	16	no	—
1248	C₂²	—	8	8	no	—
1249	C₂²	—	8	16	no	—
1250	C₂²	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1251	C₂²	C₂×C₇×H(5,𝔽₂)	1	4	yes	—
1252	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1253	C₂²	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
1254	C₂²	C₇×#585	1	2	yes	—
1255	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1256	C₄	—	2	2	no	—
1257	C₄	—	2	2	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	—	2	4	no	—
1261	C₄	—	2	4	no	—
1262	C₄	—	2	4	no	—
1263	C₄	—	2	4	no	—
1264	C₄	—	2	4	no	—
1265	C₄	—	2	4	no	—
1266	C₄	—	2	4	no	—
1267	C₄	—	2	4	no	—
1268	C₂	—	2	4	no	—
1269	C₂	—	2	4	no	—
1270	C₂	—	4	2	no	—
1271	C₂	—	4	4	no	—
1272	C₂	—	4	4	no	—
1273	C₂	—	4	4	no	—
1274	C₂	—	4	4	no	—
1275	C₂	C₇×#3534	1	4	yes	direct product factor
1276	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1277	C₂	C₂²×C₇×H(5,𝔽₂)	1	1	yes	characteristic
1278	C₂	C₂×C₇×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3534	C₂	direct (N × H)
2. C₂×C₇×#562	C₂	semidirect
3. C₂×C₇×#560	C₂	semidirect
4. C₂×C₇×#553	C₂	semidirect
5. C₂×C₇×#551	C₂	semidirect
6. C₂×C₇×#546	C₂	semidirect
7. C₂×C₇×#546	C₂	semidirect
8. C₂×C₇×#546	C₂	semidirect
9. C₂×C₇×D₄²	C₂	semidirect
10. C₂×C₇×#540	C₂	semidirect
11. C₂×C₇×#539	C₂	semidirect
12. C₂×C₇×#539	C₂	semidirect
13. C₂×C₇×#538	C₂	semidirect
14. C₂×C₇×#538	C₂	semidirect
15. C₂×C₇×#537	C₂	semidirect
16. C₂×C₇×#534	C₂	semidirect
17. C₂×C₇×#534	C₂	semidirect
18. C₂×C₇×#525	C₂	semidirect
19. C₂²×C₇×#123	C₂	semidirect
20. C₂²×C₇×#121	C₂	semidirect
21. C₂²×C₇×#41	C₂²	semidirect
22. C₂²×C₇×#41	C₂²	semidirect
24. C₂³×C₇×D₄	C₂²	semidirect
25. C₂³×C₇×D₄	C₂²	semidirect
26. C₂³×C₇×D₄	C₂²	semidirect
27. C₂³×C₇×D₄	C₂²	semidirect
28. C₂⁴×C₄×C₇	C₂²	semidirect
29. C₇×#562	C₂²	semidirect
30. C₇×#560	C₂²	semidirect
31. C₇×#553	C₂²	semidirect
32. C₇×#551	C₂²	semidirect
33. C₇×#546	C₂²	semidirect
34. C₇×#546	C₂²	semidirect
35. C₇×#546	C₂²	semidirect
36. C₇×D₄²	C₂²	semidirect
37. C₇×#540	C₂²	semidirect
38. C₇×#539	C₂²	semidirect
39. C₇×#539	C₂²	semidirect
40. C₇×#538	C₂²	semidirect
41. C₇×#538	C₂²	semidirect
42. C₇×#537	C₂²	semidirect
43. C₇×#534	C₂²	semidirect
44. C₇×#534	C₂²	semidirect
45. C₂×C₇×#127	C₂²	semidirect
46. C₂×C₇×#126	C₂²	semidirect
47. C₂×C₇×#126	C₂²	semidirect
48. C₂×C₇×#126	C₂²	semidirect
49. C₂×C₇×#126	C₂²	semidirect
50. C₂×C₇×#125	C₂²	semidirect
51. C₂×C₇×#125	C₂²	semidirect
52. C₂×C₇×#124	C₂²	semidirect
53. C₂×C₇×#124	C₂²	semidirect
54. C₂×C₇×#124	C₂²	semidirect
55. C₇×#525	C₂²	semidirect
56. C₂×C₇×#123	C₂²	semidirect
57. C₂×C₇×#123	C₂²	semidirect
58. C₂×C₇×#123	C₂²	semidirect
59. C₂×C₇×#123	C₂²	semidirect
60. C₂×C₇×#123	C₂²	semidirect
61. C₂×C₇×#123	C₂²	semidirect
62. C₂×C₇×#123	C₂²	semidirect
63. C₂×C₇×#123	C₂²	semidirect
64. C₂×C₇×#123	C₂²	semidirect
65. C₂×C₇×#123	C₂²	semidirect
66. C₂×C₇×#123	C₂²	semidirect
67. C₂×C₇×#123	C₂²	semidirect
68. C₂×C₇×#123	C₂²	semidirect
69. C₂×C₇×#123	C₂²	semidirect
70. C₂×C₇×#123	C₂²	semidirect
71. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
72. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
73. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
74. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
75. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
76. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
77. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
80. C₂×C₇×#121	C₂²	semidirect
81. C₂×C₇×#121	C₂²	semidirect
82. C₂×C₇×#121	C₂²	semidirect
83. C₂×C₇×#121	C₂²	semidirect
84. C₂×C₇×#121	C₂²	semidirect
85. C₂×C₇×#121	C₂²	semidirect
86. C₂×C₇×#121	C₂²	semidirect
87. C₂×C₇×#121	C₂²	semidirect
88. C₂×C₇×#121	C₂²	semidirect
89. C₂×C₇×#121	C₂²	semidirect
90. C₂×C₇×#121	C₂²	semidirect
91. C₂×C₇×#121	C₂²	semidirect
92. C₂×C₇×#121	C₂²	semidirect
93. C₂×C₇×#121	C₂²	semidirect
94. C₂×C₇×#121	C₂²	semidirect
95. C₂×C₇×#121	C₂²	semidirect
96. C₂×C₇×#121	C₂²	semidirect
97. C₂×C₇×#121	C₂²	semidirect
98. C₂×C₇×#121	C₂²	semidirect
99. C₂×C₇×#121	C₂²	semidirect
101. C₂×C₇×#120	C₂²	semidirect
102. C₂×C₇×#120	C₂²	semidirect
103. C₂×C₇×#120	C₂²	semidirect
104. C₂×C₇×#120	C₂²	semidirect
105. C₂×C₇×#120	C₂²	semidirect
106. C₂×C₇×#120	C₂²	semidirect
107. C₂×C₇×#120	C₂²	semidirect
108. C₂×C₄×C₇×D₄	C₂²	semidirect
109. C₂×C₄×C₇×D₄	C₂²	semidirect
110. C₂×C₄×C₇×D₄	C₂²	semidirect
111. C₂×C₄×C₇×D₄	C₂²	semidirect
112. C₂×C₄×C₇×D₄	C₂²	semidirect
113. C₂×C₄×C₇×D₄	C₂²	semidirect
114. C₂×C₄×C₇×D₄	C₂²	semidirect
115. C₂×C₄×C₇×D₄	C₂²	semidirect
116. C₂×C₇×#117	C₂²	semidirect
117. C₂×C₇×#117	C₂²	semidirect
118. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
119. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
120. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
121. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
122. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
123. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
124. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
125. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
126. C₂²×C₇×C₂²⋊C₄	C₂²	semidirect
127. C₂×#3534	C₇	direct (N × H)
134. C₂×C₇×#41	C₂³	semidirect
135. C₂×C₇×#41	C₂³	semidirect
164. C₂²×C₇×D₄	C₂³	semidirect
165. C₂²×C₇×D₄	C₂³	semidirect
166. C₂²×C₇×D₄	C₂³	semidirect
167. C₂²×C₇×D₄	C₂³	semidirect
185. C₂³×C₄×C₇	C₂³	semidirect
186. C₇×#127	C₂³	semidirect
187. C₇×#126	C₂³	semidirect
188. C₇×#126	C₂³	semidirect
189. C₇×#126	C₂³	semidirect
190. C₇×#126	C₂³	semidirect
191. C₇×#125	C₂³	semidirect
192. C₇×#125	C₂³	semidirect
193. C₇×#124	C₂³	semidirect
194. C₇×#124	C₂³	semidirect
195. C₇×#124	C₂³	semidirect
196. C₇×#123	C₂³	semidirect
197. C₇×#123	C₂³	semidirect
198. C₇×#123	C₂³	semidirect
199. C₇×#123	C₂³	semidirect
200. C₇×#123	C₂³	semidirect
201. C₇×#123	C₂³	semidirect
202. C₇×#123	C₂³	semidirect
203. C₇×#123	C₂³	semidirect
204. C₇×#123	C₂³	semidirect
205. C₇×#123	C₂³	semidirect
206. C₇×#123	C₂³	semidirect
207. C₇×#123	C₂³	semidirect
208. C₇×#123	C₂³	semidirect
209. C₇×#123	C₂³	semidirect
210. C₇×C₂²⋊Q₈	C₂³	semidirect
211. C₇×C₂²⋊Q₈	C₂³	semidirect
212. C₇×C₂²⋊Q₈	C₂³	semidirect
213. C₇×C₂²⋊Q₈	C₂³	semidirect
214. C₇×C₂²⋊Q₈	C₂³	semidirect
215. C₇×C₂²⋊Q₈	C₂³	semidirect
216. C₇×C₂²⋊Q₈	C₂³	semidirect
219. C₇×#121	C₂³	semidirect
220. C₇×#121	C₂³	semidirect
221. C₇×#121	C₂³	semidirect
222. C₇×#121	C₂³	semidirect
223. C₇×#121	C₂³	semidirect
224. C₇×#121	C₂³	semidirect
225. C₇×#121	C₂³	semidirect
226. C₇×#121	C₂³	semidirect
227. C₇×#121	C₂³	semidirect
228. C₇×#121	C₂³	semidirect
229. C₇×#121	C₂³	semidirect
230. C₇×#121	C₂³	semidirect
231. C₇×#121	C₂³	semidirect
232. C₇×#121	C₂³	semidirect
233. C₇×#121	C₂³	semidirect
234. C₇×#121	C₂³	semidirect
235. C₇×#121	C₂³	semidirect
236. C₇×#121	C₂³	semidirect
237. C₇×#121	C₂³	semidirect
239. C₇×#120	C₂³	semidirect
240. C₇×#120	C₂³	semidirect
241. C₇×#120	C₂³	semidirect
242. C₇×#120	C₂³	semidirect
243. C₇×#120	C₂³	semidirect
244. C₇×#120	C₂³	semidirect
245. C₇×#120	C₂³	semidirect
246. C₄×C₇×D₄	C₂³	semidirect
247. C₄×C₇×D₄	C₂³	semidirect
248. C₄×C₇×D₄	C₂³	semidirect
249. C₄×C₇×D₄	C₂³	semidirect
250. C₄×C₇×D₄	C₂³	semidirect
251. C₄×C₇×D₄	C₂³	semidirect
252. C₄×C₇×D₄	C₂³	semidirect
253. C₄×C₇×D₄	C₂³	semidirect
254. C₇×#117	C₂³	semidirect
255. C₇×#117	C₂³	semidirect
273. C₂×C₇×C₄⋊C₄	C₂³	semidirect
274. C₂×C₇×C₄⋊C₄	C₂³	semidirect
275. C₂×C₇×C₄⋊C₄	C₂³	semidirect
301. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
302. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
303. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
304. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
305. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
306. C₂×C₇×C₂²⋊C₄	C₂³	semidirect
310. #3534	C₂×C₇	direct (N × H)
311. C₂×#562	C₂×C₇	semidirect
312. C₂×#560	C₂×C₇	semidirect
313. C₂×#553	C₂×C₇	semidirect
314. C₂×#551	C₂×C₇	semidirect
315. C₂×#546	C₂×C₇	semidirect
316. C₂×#546	C₂×C₇	semidirect
317. C₂×#546	C₂×C₇	semidirect
318. C₂×D₄²	C₂×C₇	semidirect
319. C₂×#540	C₂×C₇	semidirect
320. C₂×#539	C₂×C₇	semidirect
321. C₂×#539	C₂×C₇	semidirect
322. C₂×#538	C₂×C₇	semidirect
323. C₂×#538	C₂×C₇	semidirect
324. C₂×#537	C₂×C₇	semidirect
325. C₂×#534	C₂×C₇	semidirect
326. C₂×#534	C₂×C₇	semidirect
327. C₂×#525	C₂×C₇	semidirect
328. C₂²×#123	C₂×C₇	semidirect
329. C₂²×#121	C₂×C₇	semidirect
494. C₂²×#41	C₂²×C₇	semidirect
495. C₂²×#41	C₂²×C₇	semidirect
497. C₂³×D₄	C₂²×C₇	semidirect
498. C₂³×D₄	C₂²×C₇	semidirect
499. C₂³×D₄	C₂²×C₇	semidirect
500. C₂³×D₄	C₂²×C₇	semidirect
501. C₂⁴×C₄	C₂²×C₇	semidirect
502. #562	C₂²×C₇	semidirect
503. #560	C₂²×C₇	semidirect
504. #553	C₂²×C₇	semidirect
505. #551	C₂²×C₇	semidirect
506. #546	C₂²×C₇	semidirect
507. #546	C₂²×C₇	semidirect
508. #546	C₂²×C₇	semidirect
509. D₄²	C₂²×C₇	semidirect
510. #540	C₂²×C₇	semidirect
511. #539	C₂²×C₇	semidirect
512. #539	C₂²×C₇	semidirect
513. #538	C₂²×C₇	semidirect
514. #538	C₂²×C₇	semidirect
515. #537	C₂²×C₇	semidirect
516. #534	C₂²×C₇	semidirect
517. #534	C₂²×C₇	semidirect
518. C₂×#127	C₂²×C₇	semidirect
519. C₂×#126	C₂²×C₇	semidirect
520. C₂×#126	C₂²×C₇	semidirect
521. C₂×#126	C₂²×C₇	semidirect
522. C₂×#126	C₂²×C₇	semidirect
523. C₂×#125	C₂²×C₇	semidirect
524. C₂×#125	C₂²×C₇	semidirect
525. C₂×#124	C₂²×C₇	semidirect
526. C₂×#124	C₂²×C₇	semidirect
527. C₂×#124	C₂²×C₇	semidirect
528. #525	C₂²×C₇	semidirect
529. C₂×#123	C₂²×C₇	semidirect
530. C₂×#123	C₂²×C₇	semidirect
531. C₂×#123	C₂²×C₇	semidirect
532. C₂×#123	C₂²×C₇	semidirect
533. C₂×#123	C₂²×C₇	semidirect
534. C₂×#123	C₂²×C₇	semidirect
535. C₂×#123	C₂²×C₇	semidirect
536. C₂×#123	C₂²×C₇	semidirect
537. C₂×#123	C₂²×C₇	semidirect
538. C₂×#123	C₂²×C₇	semidirect
539. C₂×#123	C₂²×C₇	semidirect
540. C₂×#123	C₂²×C₇	semidirect
541. C₂×#123	C₂²×C₇	semidirect
542. C₂×#123	C₂²×C₇	semidirect
543. C₂×#123	C₂²×C₇	semidirect
544. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
545. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
546. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
547. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
548. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
549. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
550. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
553. C₂×#121	C₂²×C₇	semidirect
554. C₂×#121	C₂²×C₇	semidirect
555. C₂×#121	C₂²×C₇	semidirect
556. C₂×#121	C₂²×C₇	semidirect
557. C₂×#121	C₂²×C₇	semidirect
558. C₂×#121	C₂²×C₇	semidirect
559. C₂×#121	C₂²×C₇	semidirect
560. C₂×#121	C₂²×C₇	semidirect
561. C₂×#121	C₂²×C₇	semidirect
562. C₂×#121	C₂²×C₇	semidirect
563. C₂×#121	C₂²×C₇	semidirect
564. C₂×#121	C₂²×C₇	semidirect
565. C₂×#121	C₂²×C₇	semidirect
566. C₂×#121	C₂²×C₇	semidirect
567. C₂×#121	C₂²×C₇	semidirect
568. C₂×#121	C₂²×C₇	semidirect
569. C₂×#121	C₂²×C₇	semidirect
570. C₂×#121	C₂²×C₇	semidirect
571. C₂×#121	C₂²×C₇	semidirect
572. C₂×#121	C₂²×C₇	semidirect
574. C₂×#120	C₂²×C₇	semidirect
575. C₂×#120	C₂²×C₇	semidirect
576. C₂×#120	C₂²×C₇	semidirect
577. C₂×#120	C₂²×C₇	semidirect
578. C₂×#120	C₂²×C₇	semidirect
579. C₂×#120	C₂²×C₇	semidirect
580. C₂×#120	C₂²×C₇	semidirect
581. C₂×C₄×D₄	C₂²×C₇	semidirect
582. C₂×C₄×D₄	C₂²×C₇	semidirect
583. C₂×C₄×D₄	C₂²×C₇	semidirect
584. C₂×C₄×D₄	C₂²×C₇	semidirect
585. C₂×C₄×D₄	C₂²×C₇	semidirect
586. C₂×C₄×D₄	C₂²×C₇	semidirect
587. C₂×C₄×D₄	C₂²×C₇	semidirect
588. C₂×C₄×D₄	C₂²×C₇	semidirect
589. C₂×#117	C₂²×C₇	semidirect
590. C₂×#117	C₂²×C₇	semidirect
591. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
592. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
593. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
594. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
595. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
596. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
597. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
598. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
599. C₂²×C₂²⋊C₄	C₂²×C₇	semidirect
713. C₂×#41	C₂³×C₇	semidirect
714. C₂×#41	C₂³×C₇	semidirect
743. C₂²×D₄	C₂³×C₇	semidirect
744. C₂²×D₄	C₂³×C₇	semidirect
745. C₂²×D₄	C₂³×C₇	semidirect
746. C₂²×D₄	C₂³×C₇	semidirect
764. C₂³×C₄	C₂³×C₇	semidirect
765. #127	C₂³×C₇	semidirect
766. #126	C₂³×C₇	semidirect
767. #126	C₂³×C₇	semidirect
768. #126	C₂³×C₇	semidirect
769. #126	C₂³×C₇	semidirect
770. #125	C₂³×C₇	semidirect
771. #125	C₂³×C₇	semidirect
772. #124	C₂³×C₇	semidirect
773. #124	C₂³×C₇	semidirect
774. #124	C₂³×C₇	semidirect
775. #123	C₂³×C₇	semidirect
776. #123	C₂³×C₇	semidirect
777. #123	C₂³×C₇	semidirect
778. #123	C₂³×C₇	semidirect
779. #123	C₂³×C₇	semidirect
780. #123	C₂³×C₇	semidirect
781. #123	C₂³×C₇	semidirect
782. #123	C₂³×C₇	semidirect
783. #123	C₂³×C₇	semidirect
784. #123	C₂³×C₇	semidirect
785. #123	C₂³×C₇	semidirect
786. #123	C₂³×C₇	semidirect
787. #123	C₂³×C₇	semidirect
788. #123	C₂³×C₇	semidirect
789. C₂²⋊Q₈	C₂³×C₇	semidirect
790. C₂²⋊Q₈	C₂³×C₇	semidirect
791. C₂²⋊Q₈	C₂³×C₇	semidirect
792. C₂²⋊Q₈	C₂³×C₇	semidirect
793. C₂²⋊Q₈	C₂³×C₇	semidirect
794. C₂²⋊Q₈	C₂³×C₇	semidirect
795. C₂²⋊Q₈	C₂³×C₇	semidirect
798. #121	C₂³×C₇	semidirect
799. #121	C₂³×C₇	semidirect
800. #121	C₂³×C₇	semidirect
801. #121	C₂³×C₇	semidirect
802. #121	C₂³×C₇	semidirect
803. #121	C₂³×C₇	semidirect
804. #121	C₂³×C₇	semidirect
805. #121	C₂³×C₇	semidirect
806. #121	C₂³×C₇	semidirect
807. #121	C₂³×C₇	semidirect
808. #121	C₂³×C₇	semidirect
809. #121	C₂³×C₇	semidirect
810. #121	C₂³×C₇	semidirect
811. #121	C₂³×C₇	semidirect
812. #121	C₂³×C₇	semidirect
813. #121	C₂³×C₇	semidirect
814. #121	C₂³×C₇	semidirect
815. #121	C₂³×C₇	semidirect
816. #121	C₂³×C₇	semidirect
818. #120	C₂³×C₇	semidirect
819. #120	C₂³×C₇	semidirect
820. #120	C₂³×C₇	semidirect
821. #120	C₂³×C₇	semidirect
822. #120	C₂³×C₇	semidirect
823. #120	C₂³×C₇	semidirect
824. #120	C₂³×C₇	semidirect
825. C₄×D₄	C₂³×C₇	semidirect
826. C₄×D₄	C₂³×C₇	semidirect
827. C₄×D₄	C₂³×C₇	semidirect
828. C₄×D₄	C₂³×C₇	semidirect
829. C₄×D₄	C₂³×C₇	semidirect
830. C₄×D₄	C₂³×C₇	semidirect
831. C₄×D₄	C₂³×C₇	semidirect
832. C₄×D₄	C₂³×C₇	semidirect
833. #117	C₂³×C₇	semidirect
834. #117	C₂³×C₇	semidirect
852. C₂×C₄⋊C₄	C₂³×C₇	semidirect
853. C₂×C₄⋊C₄	C₂³×C₇	semidirect
854. C₂×C₄⋊C₄	C₂³×C₇	semidirect
880. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
881. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
882. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
883. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
884. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
885. C₂×C₂²⋊C₄	C₂³×C₇	semidirect
1108. C₂×C₇	#3534	direct (N × H)
1219. C₇	C₂×#3534	direct (N × H)
1275. C₂	C₇×#3534	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×#3534	2
C₂×C₇×#562	2
C₂×C₇×#560	2
C₂×C₇×#553	2
C₂×C₇×#551	2
C₂×C₇×#546	2
C₂×C₇×D₄²	2
C₂×C₇×#540	2
C₂×C₇×#539	2
C₂×C₇×#538	2
C₂×C₇×#537	2
C₂×C₇×#534	2
C₂×C₇×#525	2
C₂²×C₇×#123	2
C₂²×C₇×#121	2
C₂×#3534	7

Subgroups — C2×C7×#3534 #13239937

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3534 #13239937