Subgroups — C₂×C₇×#3521 #13239996

Order 1792.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3521	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₇×#554	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₇×#553	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#552	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₇×#552	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×#551	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#551	C₂	1	2	yes	maximal, complemented
11	C₂×C₇×#547	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₇×#542	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₇×#541	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₇×#539	C₂	1	2	yes	maximal, complemented
17	C₂×C₇×#538	C₂	1	2	yes	maximal, complemented
18	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₇×#529	C₂	1	2	yes	maximal, complemented
20	C₂×C₇×#529	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×C₇×#126	C₂	1	2	yes	maximal, complemented
22	C₂×C₇×#520	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄×C₇×#41	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₇×#41	C₂²	1	1	yes	characteristic
27	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
28	C₇×#556	C₂²	1	16	yes	complemented
29	C₇×#556	C₂²	1	16	yes	complemented
30	C₇×#554	C₂²	1	16	yes	complemented
31	C₇×#553	C₂²	1	16	yes	complemented
32	C₇×#553	C₂²	1	32	yes	complemented
33	C₇×#552	C₂²	1	16	yes	complemented
34	C₇×#552	C₂²	1	32	yes	complemented
35	C₇×#551	C₂²	1	32	yes	complemented
36	C₇×#551	C₂²	1	32	yes	complemented
37	C₇×#547	C₂²	1	16	yes	complemented
38	C₇×#546	C₂²	1	16	yes	complemented
39	C₇×#546	C₂²	1	16	yes	complemented
40	C₇×#542	C₂²	1	16	yes	complemented
41	C₇×#541	C₂²	1	16	yes	complemented
42	C₇×#539	C₂²	1	32	yes	complemented
43	C₇×#538	C₂²	1	32	yes	complemented
44	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₇×#529	C₂²	1	16	yes	complemented
47	C₇×#529	C₂²	1	32	yes	complemented
48	C₇×#529	C₂²	1	16	yes	complemented
49	C₂×C₇×#126	C₂²	1	1	yes	characteristic
50	C₂×C₇×#126	C₂²	1	2	yes	—
51	C₂×C₇×#126	C₂²	1	2	yes	—
52	C₂×C₇×#126	C₂²	1	2	yes	—
53	C₂×C₇×#126	C₂²	1	2	yes	—
54	C₂×C₇×#126	C₂²	1	2	yes	complemented
55	C₂×C₇×#126	C₂²	1	2	yes	complemented
56	C₂×C₇×#126	C₂²	1	2	yes	complemented
57	C₂×C₇×#126	C₂²	1	2	yes	complemented
58	C₂×C₇×#126	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₇×#126	C₂²	1	2	yes	complemented
60	C₂×C₇×#126	C₂²	1	2	yes	complemented
61	C₂×C₇×#126	C₂²	1	32	yes	complemented
62	C₂×C₇×#125	C₂²	1	2	yes	complemented
63	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₇×#125	C₂²	1	2	yes	complemented
66	C₂×C₇×#125	C₂²	1	2	yes	complemented
67	C₂×C₇×#125	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₇×#124	C₂²	1	1	yes	characteristic
69	C₂×C₇×#124	C₂²	1	1	yes	characteristic
70	C₂×C₇×#124	C₂²	1	2	yes	—
71	C₂×C₇×#124	C₂²	1	1	yes	characteristic
72	C₂×C₇×#124	C₂²	1	2	yes	complemented
73	C₂×C₇×#123	C₂²	1	2	yes	—
74	C₂×C₇×#123	C₂²	1	1	yes	characteristic
75	C₂×C₇×#123	C₂²	1	2	yes	—
76	C₂×C₇×#123	C₂²	1	2	yes	—
77	C₂×C₇×#123	C₂²	1	2	yes	complemented
78	C₂×C₇×#123	C₂²	1	2	yes	complemented
79	C₂×C₇×#123	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₇×#123	C₂²	1	2	yes	complemented
81	C₂×C₇×#123	C₂²	1	2	yes	complemented
82	C₂×C₇×#123	C₂²	1	2	yes	complemented
83	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
85	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
88	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
89	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
90	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
91	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₇×C₂²⋊Q₈	C₂²	1	2	yes	complemented
93	C₂×C₇×#121	C₂²	1	1	yes	characteristic
94	C₂×C₇×#121	C₂²	1	1	yes	characteristic
95	C₂×C₇×#121	C₂²	1	2	yes	—
96	C₂×C₇×#121	C₂²	1	2	yes	—
97	C₂×C₇×#121	C₂²	1	1	yes	characteristic
98	C₂×C₇×#121	C₂²	1	2	yes	complemented
99	C₂×C₇×#121	C₂²	1	2	yes	complemented
100	C₂×C₇×#120	C₂²	1	2	yes	—
101	C₂×C₇×#120	C₂²	1	2	yes	—
102	C₇×#520	C₂²	1	16	yes	complemented
103	C₇×#518	C₂²	1	16	yes	complemented
104	C₄×C₇×#41	C₂²	1	16	yes	complemented
105	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×C₇×Q₈	C₂²	1	2	yes	complemented
110	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
112	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
113	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
114	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
115	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
116	C₂×C₄×C₇×D₄	C₂²	1	2	yes	—
117	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
118	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
119	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
120	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
121	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
122	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
123	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
124	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
125	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
127	C₂×C₄×C₇×D₄	C₂²	1	2	yes	complemented
128	C₂×C₇×#117	C₂²	1	1	yes	characteristic
129	C₂×C₇×#117	C₂²	1	1	yes	characteristic
130	C₂×C₇×#117	C₂²	1	2	yes	complemented
131	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₇×#117	C₂²	1	2	yes	complemented
134	C₂×C₇×#117	C₂²	1	2	yes	complemented
135	C₂×C₇×#117	C₂²	1	2	yes	complemented
136	C₂×C₇×#117	C₂²	1	2	yes	complemented
137	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
138	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
139	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
140	C₂²×C₇×C₄⋊C₄	C₂²	1	2	yes	complemented
141	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
142	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
143	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
144	C₂²×C₇×C₂²⋊C₄	C₂²	1	2	yes	—
145	C₂²×C₄²×C₇	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
147	C₂×#3521	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
148	C₂⁵×C₇	C₂³	1	2	yes	—
149	C₂×C₇×#41	—	2	8	no	—
150	C₂×C₇×#41	—	2	8	no	—
151	C₂×C₇×#41	C₂³	1	8	yes	—
152	C₂×C₇×#41	C₂³	1	8	yes	—
153	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
154	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
155	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
156	C₂²×C₇×Q₈	C₂³	1	2	yes	—
157	C₂²×C₇×D₄	—	2	8	no	—
158	C₂²×C₇×D₄	C₂³	1	2	yes	—
159	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
160	C₂²×C₇×D₄	C₂³	1	8	yes	—
161	C₂²×C₇×D₄	C₂³	1	2	yes	—
162	C₂²×C₇×D₄	C₂³	1	2	yes	—
163	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
164	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
165	C₂²×C₇×D₄	C₂³	1	2	yes	—
166	C₂²×C₇×D₄	C₂³	1	2	yes	—
167	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
168	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
169	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₇	C₂³	1	2	yes	—
171	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
172	C₂³×C₄×C₇	C₂³	1	2	yes	—
173	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
174	C₂³×C₄×C₇	C₂³	1	2	yes	—
175	C₂³×C₄×C₇	C₂³	1	2	yes	—
176	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
177	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
178	C₂³×C₄×C₇	C₂³	1	2	yes	—
179	C₂³×C₄×C₇	C₂³	1	2	yes	—
180	C₂³×C₄×C₇	C₂³	1	2	yes	—
181	C₂³×C₄×C₇	C₂³	1	2	yes	—
182	C₂³×C₄×C₇	C₂³	1	2	yes	—
183	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
184	C₇×C₄⋊Q₈	C₂³	1	8	yes	complemented
185	C₇×#126	C₂³	1	8	yes	—
186	C₇×#126	C₂³	1	16	yes	—
187	C₇×#126	C₂³	1	16	yes	—
188	C₇×#126	C₂³	1	16	yes	—
189	C₇×#126	C₂³	1	16	yes	—
190	C₇×#126	C₂³	1	16	yes	complemented
191	C₇×#126	C₂³	1	16	yes	complemented
192	C₇×#126	C₂³	1	16	yes	complemented
193	C₇×#126	C₂³	1	16	yes	complemented
194	C₇×#126	C₂³	1	8	yes	complemented
195	C₇×#126	C₂³	1	16	yes	complemented
196	C₇×#126	C₂³	1	16	yes	complemented
197	C₇×#125	C₂³	1	16	yes	complemented
198	C₇×#125	C₂³	1	8	yes	complemented
199	C₇×#125	C₂³	1	8	yes	complemented
200	C₇×#125	C₂³	1	16	yes	complemented
201	C₇×#125	C₂³	1	16	yes	complemented
202	C₇×#125	C₂³	1	8	yes	complemented
203	C₇×#124	C₂³	1	8	yes	—
204	C₇×#124	C₂³	1	8	yes	—
205	C₇×#124	C₂³	1	16	yes	—
206	C₇×#124	C₂³	1	8	yes	—
207	C₇×#124	C₂³	1	16	yes	complemented
208	C₇×#123	C₂³	1	16	yes	—
209	C₇×#123	C₂³	1	8	yes	—
210	C₇×#123	C₂³	1	16	yes	—
211	C₇×#123	C₂³	1	16	yes	—
212	C₇×#123	C₂³	1	16	yes	complemented
213	C₇×#123	C₂³	1	16	yes	complemented
214	C₇×#123	C₂³	1	8	yes	complemented
215	C₇×#123	C₂³	1	16	yes	complemented
216	C₇×#123	C₂³	1	16	yes	complemented
217	C₇×#123	C₂³	1	16	yes	complemented
218	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
219	C₇×C₂²⋊Q₈	C₂³	1	8	yes	—
220	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
221	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
222	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
223	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
224	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
225	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
226	C₇×C₂²⋊Q₈	C₂³	1	8	yes	complemented
227	C₇×C₂²⋊Q₈	C₂³	1	16	yes	complemented
228	C₇×#121	C₂³	1	8	yes	—
229	C₇×#121	C₂³	1	8	yes	—
230	C₇×#121	C₂³	1	16	yes	—
231	C₇×#121	C₂³	1	16	yes	—
232	C₇×#121	C₂³	1	8	yes	—
233	C₇×#121	C₂³	1	16	yes	complemented
234	C₇×#121	C₂³	1	16	yes	complemented
235	C₇×#120	C₂³	1	16	yes	—
236	C₇×#120	C₂³	1	16	yes	—
237	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
238	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
239	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
240	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
241	C₄×C₇×Q₈	C₂³	1	16	yes	complemented
242	C₄×C₇×Q₈	C₂³	1	8	yes	complemented
243	C₄×C₇×D₄	C₂³	1	8	yes	—
244	C₄×C₇×D₄	C₂³	1	8	yes	—
245	C₄×C₇×D₄	C₂³	1	16	yes	—
246	C₄×C₇×D₄	C₂³	1	8	yes	—
247	C₄×C₇×D₄	C₂³	1	8	yes	—
248	C₄×C₇×D₄	C₂³	1	16	yes	—
249	C₄×C₇×D₄	C₂³	1	8	yes	—
250	C₄×C₇×D₄	C₂³	1	8	yes	—
251	C₄×C₇×D₄	C₂³	1	8	yes	—
252	C₄×C₇×D₄	C₂³	1	8	yes	—
253	C₄×C₇×D₄	C₂³	1	16	yes	complemented
254	C₄×C₇×D₄	C₂³	1	16	yes	complemented
255	C₄×C₇×D₄	C₂³	1	16	yes	complemented
256	C₄×C₇×D₄	C₂³	1	16	yes	complemented
257	C₄×C₇×D₄	C₂³	1	8	yes	complemented
258	C₄×C₇×D₄	C₂³	1	16	yes	complemented
259	C₄×C₇×D₄	C₂³	1	16	yes	complemented
260	C₇×#117	C₂³	1	8	yes	—
261	C₇×#117	C₂³	1	8	yes	—
262	C₇×#117	C₂³	1	16	yes	complemented
263	C₇×#117	C₂³	1	8	yes	complemented
264	C₇×#117	C₂³	1	8	yes	complemented
265	C₇×#117	C₂³	1	16	yes	complemented
266	C₇×#117	C₂³	1	16	yes	complemented
267	C₇×#117	C₂³	1	16	yes	complemented
268	C₇×#117	C₂³	1	16	yes	complemented
269	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
271	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
275	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
276	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
278	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
279	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
280	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
281	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
282	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
283	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
290	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
292	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
293	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
294	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
297	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
298	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
300	C₂×C₇×C₄⋊C₄	C₂³	1	8	yes	complemented
301	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
302	C₂×C₇×C₄⋊C₄	C₂³	1	16	yes	complemented
303	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
305	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
310	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
315	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
316	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
317	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
318	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
319	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
321	C₂×C₇×C₂²⋊C₄	C₂³	1	16	yes	—
322	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
329	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
331	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₇×C₂²⋊C₄	C₂³	1	2	yes	—
334	C₂×C₇×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₇	C₂³	1	2	yes	—
339	C₂×C₄²×C₇	C₂³	1	2	yes	—
340	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₇	C₂³	1	2	yes	—
342	C₂×C₄²×C₇	C₂³	1	2	yes	—
343	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₇	C₂³	1	2	yes	—
345	C₂×C₄²×C₇	C₂³	1	2	yes	—
346	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₇	C₂³	1	16	yes	complemented
348	C₂×C₄²×C₇	C₂³	1	8	yes	complemented
349	#3521	C₂×C₇	1	32	yes	direct product factor
350	C₂×#556	C₂×C₇	1	1	yes	characteristic, complemented
351	C₂×#556	C₂×C₇	1	1	yes	characteristic, complemented
352	C₂×#554	C₂×C₇	1	1	yes	characteristic, complemented
353	C₂×#553	C₂×C₇	1	1	yes	characteristic, complemented
354	C₂×#553	C₂×C₇	1	2	yes	complemented
355	C₂×#552	C₂×C₇	1	1	yes	characteristic, complemented
356	C₂×#552	C₂×C₇	1	2	yes	complemented
357	C₂×#551	C₂×C₇	1	2	yes	complemented
358	C₂×#551	C₂×C₇	1	2	yes	complemented
359	C₂×#547	C₂×C₇	1	1	yes	characteristic, complemented
360	C₂×#546	C₂×C₇	1	1	yes	characteristic, complemented
361	C₂×#546	C₂×C₇	1	1	yes	characteristic, complemented
362	C₂×#542	C₂×C₇	1	1	yes	characteristic, complemented
363	C₂×#541	C₂×C₇	1	1	yes	characteristic, complemented
364	C₂×#539	C₂×C₇	1	2	yes	complemented
365	C₂×#538	C₂×C₇	1	2	yes	complemented
366	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
367	C₂×#529	C₂×C₇	1	2	yes	complemented
368	C₂×#529	C₂×C₇	1	1	yes	characteristic, complemented
369	C₂²×#126	C₂×C₇	1	2	yes	complemented
370	C₂×#520	C₂×C₇	1	1	yes	characteristic, complemented
371	C₂×#518	C₂×C₇	1	1	yes	characteristic, complemented
372	C₂×C₄×#41	C₂×C₇	1	1	yes	characteristic, complemented
373	C₂⁴×C₇	—	2	8	no	—
374	C₂⁴×C₇	—	4	4	no	—
375	C₂⁴×C₇	—	4	4	no	—
376	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₇	C₂⁴	1	2	yes	—
378	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₇	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₇	C₂⁴	1	2	yes	—
381	C₂⁴×C₇	C₂⁴	1	8	yes	—
382	C₇×#41	—	2	32	no	—
383	C₇×#41	—	2	32	no	—
384	C₂×C₇×Q₈	—	2	4	no	—
385	C₂×C₇×Q₈	—	2	4	no	—
386	C₂×C₇×Q₈	—	4	2	no	—
387	C₂×C₇×Q₈	—	4	4	no	—
388	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
389	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
390	C₂×C₇×Q₈	C₂⁴	1	4	yes	—
391	C₂×C₇×Q₈	C₂⁴	1	8	yes	—
392	C₂×C₇×D₄	—	2	8	no	—
393	C₂×C₇×D₄	—	2	8	no	—
394	C₂×C₇×D₄	—	2	8	no	—
395	C₂×C₇×D₄	—	2	32	no	—
396	C₂×C₇×D₄	—	2	4	no	—
397	C₂×C₇×D₄	—	4	4	no	—
398	C₂×C₇×D₄	—	4	2	no	—
399	C₂×C₇×D₄	—	4	2	no	—
400	C₂×C₇×D₄	—	4	4	no	—
401	C₂×C₇×D₄	—	4	2	no	—
402	C₂×C₇×D₄	#41	1	8	yes	—
403	C₂×C₇×D₄	C₂⁴	1	8	yes	—
404	C₂×C₇×D₄	C₂⁴	1	4	yes	—
405	C₂×C₇×D₄	C₂⁴	1	8	yes	—
406	C₂×C₇×D₄	C₂⁴	1	8	yes	—
407	C₂×C₇×D₄	C₂⁴	1	4	yes	—
408	C₂×C₇×D₄	C₂⁴	1	4	yes	—
409	C₂×C₇×D₄	C₂⁴	1	8	yes	—
410	C₂×C₇×D₄	C₂⁴	1	8	yes	—
411	C₂×C₇×D₄	C₂⁴	1	4	yes	—
412	C₂×C₇×D₄	C₂⁴	1	4	yes	—
413	C₂²×C₄×C₇	—	2	8	no	—
414	C₂²×C₄×C₇	—	2	8	no	—
415	C₂²×C₄×C₇	—	2	4	no	—
416	C₂²×C₄×C₇	—	2	4	no	—
417	C₂²×C₄×C₇	—	2	4	no	—
418	C₂²×C₄×C₇	—	4	4	no	—
419	C₂²×C₄×C₇	—	4	2	no	—
420	C₂²×C₄×C₇	—	4	4	no	—
421	C₂²×C₄×C₇	—	4	4	no	—
422	C₂²×C₄×C₇	—	4	4	no	—
423	C₂²×C₄×C₇	—	4	4	no	—
424	C₂²×C₄×C₇	—	4	2	no	—
425	C₂²×C₄×C₇	—	4	4	no	—
426	C₂²×C₄×C₇	—	4	4	no	—
427	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
428	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
429	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
430	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
431	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
432	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
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	2	yes	—
437	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
439	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
440	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
442	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
448	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
450	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
451	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
452	C₂²×C₄×C₇	C₂⁴	1	4	yes	—
453	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
454	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
455	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
456	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
457	C₂²×C₄×C₇	C₂⁴	1	8	yes	—
458	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
459	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
461	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
466	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
467	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
468	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
469	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
470	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
471	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
472	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
473	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
474	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
475	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
476	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
477	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
478	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
479	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
480	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
481	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
482	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
483	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
484	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
485	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
486	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
487	C₇×C₄⋊C₄	C₂⁴	1	8	yes	—
488	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
489	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
490	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
491	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
492	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
493	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
494	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
495	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
496	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
497	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
498	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
499	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
500	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
501	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
502	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
503	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
504	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
505	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
506	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
507	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
508	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
510	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
511	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
512	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
513	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
514	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
515	C₇×C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₇×C₂²⋊C₄	C₂⁴	1	4	yes	—
517	C₄²×C₇	C₂⁴	1	4	yes	—
518	C₄²×C₇	C₂⁴	1	4	yes	—
519	C₄²×C₇	C₂⁴	1	4	yes	—
520	C₄²×C₇	C₂⁴	1	8	yes	—
521	C₄²×C₇	C₂⁴	1	8	yes	—
522	C₄²×C₇	C₂⁴	1	4	yes	—
523	C₄²×C₇	C₂⁴	1	8	yes	—
524	C₄²×C₇	C₂⁴	1	8	yes	—
525	C₄²×C₇	C₂⁴	1	4	yes	—
526	C₄²×C₇	C₂⁴	1	8	yes	—
527	C₄²×C₇	C₂⁴	1	8	yes	—
528	C₄²×C₇	C₂⁴	1	4	yes	—
529	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
530	C₂²×#41	C₂²×C₇	1	1	yes	characteristic
531	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
532	#556	C₂²×C₇	1	16	yes	complemented
533	#556	C₂²×C₇	1	16	yes	complemented
534	#554	C₂²×C₇	1	16	yes	complemented
535	#553	C₂²×C₇	1	16	yes	complemented
536	#553	C₂²×C₇	1	32	yes	complemented
537	#552	C₂²×C₇	1	16	yes	complemented
538	#552	C₂²×C₇	1	32	yes	complemented
539	#551	C₂²×C₇	1	32	yes	complemented
540	#551	C₂²×C₇	1	32	yes	complemented
541	#547	C₂²×C₇	1	16	yes	complemented
542	#546	C₂²×C₇	1	16	yes	complemented
543	#546	C₂²×C₇	1	16	yes	complemented
544	#542	C₂²×C₇	1	16	yes	complemented
545	#541	C₂²×C₇	1	16	yes	complemented
546	#539	C₂²×C₇	1	32	yes	complemented
547	#538	C₂²×C₇	1	32	yes	complemented
548	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
549	C₂×C₄⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
550	#529	C₂²×C₇	1	16	yes	complemented
551	#529	C₂²×C₇	1	32	yes	complemented
552	#529	C₂²×C₇	1	16	yes	complemented
553	C₂×#126	C₂²×C₇	1	1	yes	characteristic
554	C₂×#126	C₂²×C₇	1	2	yes	—
555	C₂×#126	C₂²×C₇	1	2	yes	—
556	C₂×#126	C₂²×C₇	1	2	yes	—
557	C₂×#126	C₂²×C₇	1	2	yes	—
558	C₂×#126	C₂²×C₇	1	2	yes	complemented
559	C₂×#126	C₂²×C₇	1	2	yes	complemented
560	C₂×#126	C₂²×C₇	1	2	yes	complemented
561	C₂×#126	C₂²×C₇	1	2	yes	complemented
562	C₂×#126	C₂²×C₇	1	1	yes	characteristic, complemented
563	C₂×#126	C₂²×C₇	1	2	yes	complemented
564	C₂×#126	C₂²×C₇	1	2	yes	complemented
565	C₂×#126	C₂²×C₇	1	32	yes	complemented
566	C₂×#125	C₂²×C₇	1	2	yes	complemented
567	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
568	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
569	C₂×#125	C₂²×C₇	1	2	yes	complemented
570	C₂×#125	C₂²×C₇	1	2	yes	complemented
571	C₂×#125	C₂²×C₇	1	1	yes	characteristic, complemented
572	C₂×#124	C₂²×C₇	1	1	yes	characteristic
573	C₂×#124	C₂²×C₇	1	1	yes	characteristic
574	C₂×#124	C₂²×C₇	1	2	yes	—
575	C₂×#124	C₂²×C₇	1	1	yes	characteristic
576	C₂×#124	C₂²×C₇	1	2	yes	complemented
577	C₂×#123	C₂²×C₇	1	2	yes	—
578	C₂×#123	C₂²×C₇	1	1	yes	characteristic
579	C₂×#123	C₂²×C₇	1	2	yes	—
580	C₂×#123	C₂²×C₇	1	2	yes	—
581	C₂×#123	C₂²×C₇	1	2	yes	complemented
582	C₂×#123	C₂²×C₇	1	2	yes	complemented
583	C₂×#123	C₂²×C₇	1	1	yes	characteristic, complemented
584	C₂×#123	C₂²×C₇	1	2	yes	complemented
585	C₂×#123	C₂²×C₇	1	2	yes	complemented
586	C₂×#123	C₂²×C₇	1	2	yes	complemented
587	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
588	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
589	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
590	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
591	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
592	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
593	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
594	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
595	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
596	C₂×C₂²⋊Q₈	C₂²×C₇	1	2	yes	complemented
597	C₂×#121	C₂²×C₇	1	1	yes	characteristic
598	C₂×#121	C₂²×C₇	1	1	yes	characteristic
599	C₂×#121	C₂²×C₇	1	2	yes	—
600	C₂×#121	C₂²×C₇	1	2	yes	—
601	C₂×#121	C₂²×C₇	1	1	yes	characteristic
602	C₂×#121	C₂²×C₇	1	2	yes	complemented
603	C₂×#121	C₂²×C₇	1	2	yes	complemented
604	C₂×#120	C₂²×C₇	1	2	yes	—
605	C₂×#120	C₂²×C₇	1	2	yes	—
606	#520	C₂²×C₇	1	16	yes	complemented
607	#518	C₂²×C₇	1	16	yes	complemented
608	C₄×#41	C₂²×C₇	1	16	yes	complemented
609	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
610	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
611	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
612	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
613	C₂×C₄×Q₈	C₂²×C₇	1	2	yes	complemented
614	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
615	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
616	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
617	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
618	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
619	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
620	C₂×C₄×D₄	C₂²×C₇	1	2	yes	—
621	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
622	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
623	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
624	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic
625	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
626	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
627	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
628	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
629	C₂×C₄×D₄	C₂²×C₇	1	1	yes	characteristic, complemented
630	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
631	C₂×C₄×D₄	C₂²×C₇	1	2	yes	complemented
632	C₂×#117	C₂²×C₇	1	1	yes	characteristic
633	C₂×#117	C₂²×C₇	1	1	yes	characteristic
634	C₂×#117	C₂²×C₇	1	2	yes	complemented
635	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
636	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
637	C₂×#117	C₂²×C₇	1	2	yes	complemented
638	C₂×#117	C₂²×C₇	1	2	yes	complemented
639	C₂×#117	C₂²×C₇	1	2	yes	complemented
640	C₂×#117	C₂²×C₇	1	2	yes	complemented
641	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
642	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic, complemented
643	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
644	C₂²×C₄⋊C₄	C₂²×C₇	1	2	yes	complemented
645	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
646	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
647	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
648	C₂²×C₂²⋊C₄	C₂²×C₇	1	2	yes	—
649	C₂²×C₄²	C₂²×C₇	1	2	yes	complemented
650	C₂²×C₄²	C₂²×C₇	1	1	yes	characteristic, complemented
651	C₂³×C₇	—	2	4	no	—
652	C₂³×C₇	—	2	4	no	—
653	C₂³×C₇	—	2	2	no	—
654	C₂³×C₇	—	2	2	no	—
655	C₂³×C₇	—	2	2	no	—
656	C₂³×C₇	—	2	4	no	—
657	C₂³×C₇	—	2	2	no	—
658	C₂³×C₇	—	2	2	no	—
659	C₂³×C₇	—	2	2	no	—
660	C₂³×C₇	—	2	4	no	—
661	C₂³×C₇	—	2	4	no	—
662	C₂³×C₇	—	2	2	no	—
663	C₂³×C₇	—	2	2	no	—
664	C₂³×C₇	—	2	2	no	—
665	C₂³×C₇	—	2	16	no	—
666	C₂³×C₇	—	4	8	no	—
667	C₂³×C₇	—	4	8	no	—
668	C₂³×C₇	—	8	16	no	—
669	C₂³×C₇	C₂×#41	1	8	yes	—
670	C₂³×C₇	C₂⁵	1	2	yes	—
671	C₂³×C₇	C₂⁵	1	4	yes	—
672	C₂³×C₇	C₂⁵	1	2	yes	—
673	C₂³×C₇	C₂⁵	1	2	yes	—
674	C₂³×C₇	C₂⁵	1	4	yes	—
675	C₂³×C₇	C₂⁵	1	1	yes	characteristic
676	C₇×Q₈	—	2	8	no	—
677	C₇×Q₈	—	2	8	no	—
678	C₇×Q₈	—	4	4	no	—
679	C₇×Q₈	—	4	8	no	—
680	C₇×D₄	—	2	16	no	—
681	C₇×D₄	—	2	16	no	—
682	C₇×D₄	—	2	16	no	—
683	C₇×D₄	—	2	8	no	—
684	C₇×D₄	—	4	8	no	—
685	C₇×D₄	—	4	4	no	—
686	C₇×D₄	—	4	4	no	—
687	C₇×D₄	—	4	8	no	—
688	C₇×D₄	—	4	4	no	—
689	C₇×D₄	C₂×#41	1	16	yes	—
690	C₂×C₄×C₇	—	2	2	no	—
691	C₂×C₄×C₇	—	2	2	no	—
692	C₂×C₄×C₇	—	2	2	no	—
693	C₂×C₄×C₇	—	2	4	no	—
694	C₂×C₄×C₇	—	2	4	no	—
695	C₂×C₄×C₇	—	2	16	no	—
696	C₂×C₄×C₇	—	2	16	no	—
697	C₂×C₄×C₇	—	2	2	no	—
698	C₂×C₄×C₇	—	2	4	no	—
699	C₂×C₄×C₇	—	2	2	no	—
700	C₂×C₄×C₇	—	2	2	no	—
701	C₂×C₄×C₇	—	2	4	no	—
702	C₂×C₄×C₇	—	2	2	no	—
703	C₂×C₄×C₇	—	2	2	no	—
704	C₂×C₄×C₇	—	2	2	no	—
705	C₂×C₄×C₇	—	2	4	no	—
706	C₂×C₄×C₇	—	2	2	no	—
707	C₂×C₄×C₇	—	2	4	no	—
708	C₂×C₄×C₇	—	2	2	no	—
709	C₂×C₄×C₇	—	2	8	no	—
710	C₂×C₄×C₇	—	2	8	no	—
711	C₂×C₄×C₇	—	2	8	no	—
712	C₂×C₄×C₇	—	4	8	no	—
713	C₂×C₄×C₇	—	4	4	no	—
714	C₂×C₄×C₇	—	4	8	no	—
715	C₂×C₄×C₇	—	4	8	no	—
716	C₂×C₄×C₇	—	4	8	no	—
717	C₂×C₄×C₇	—	4	8	no	—
718	C₂×C₄×C₇	—	4	4	no	—
719	C₂×C₄×C₇	—	4	8	no	—
720	C₂×C₄×C₇	—	4	8	no	—
721	C₂×C₄×C₇	C₂×#41	1	4	yes	—
722	C₂×C₄×C₇	C₂⁵	1	2	yes	—
723	C₂×C₄×C₇	C₂⁵	1	2	yes	—
724	C₂×C₄×C₇	C₂⁵	1	2	yes	—
725	C₂×C₄×C₇	C₂⁵	1	2	yes	—
726	C₂×C₄×C₇	C₂⁵	1	4	yes	—
727	C₂×C₄×C₇	C₂⁵	1	2	yes	—
728	C₂×C₄×C₇	C₂⁵	1	4	yes	—
729	C₂×C₄×C₇	C₂⁵	1	4	yes	—
730	C₂×C₄×C₇	C₂⁵	1	2	yes	—
731	C₂×C₄×C₇	C₂⁵	1	4	yes	—
732	C₂×C₄×C₇	C₂⁵	1	2	yes	—
733	C₂×C₄×C₇	C₂⁵	1	4	yes	—
734	C₂×C₄×C₇	C₂⁵	1	2	yes	—
735	C₂×C₄×C₇	C₂⁵	1	2	yes	—
736	C₂×C₄×C₇	C₂⁵	1	2	yes	—
737	C₂×C₄×C₇	C₂⁵	1	4	yes	—
738	C₂×C₄×C₇	C₂⁵	1	2	yes	—
739	C₂×C₄×C₇	C₂⁵	1	2	yes	—
740	C₂⁵	C₂³×C₇	1	2	yes	—
741	C₂×#41	—	2	8	no	—
742	C₂×#41	—	2	8	no	—
743	C₂×#41	C₂³×C₇	1	8	yes	—
744	C₂×#41	C₂³×C₇	1	8	yes	—
745	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
746	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
747	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
748	C₂²×Q₈	C₂³×C₇	1	2	yes	—
749	C₂²×D₄	—	2	8	no	—
750	C₂²×D₄	C₂³×C₇	1	2	yes	—
751	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
752	C₂²×D₄	C₂³×C₇	1	2	yes	—
753	C₂²×D₄	C₂³×C₇	1	2	yes	—
754	C₂²×D₄	C₂³×C₇	1	8	yes	—
755	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
756	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
757	C₂²×D₄	C₂³×C₇	1	2	yes	—
758	C₂²×D₄	C₂³×C₇	1	2	yes	—
759	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
760	C₂²×D₄	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	1	yes	characteristic
765	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
766	C₂³×C₄	C₂³×C₇	1	2	yes	—
767	C₂³×C₄	C₂³×C₇	1	2	yes	—
768	C₂³×C₄	C₂³×C₇	1	2	yes	—
769	C₂³×C₄	C₂³×C₇	1	2	yes	—
770	C₂³×C₄	C₂³×C₇	1	2	yes	—
771	C₂³×C₄	C₂³×C₇	1	2	yes	—
772	C₂³×C₄	C₂³×C₇	1	2	yes	—
773	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
774	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
775	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
776	C₄⋊Q₈	C₂³×C₇	1	8	yes	complemented
777	#126	C₂³×C₇	1	8	yes	—
778	#126	C₂³×C₇	1	16	yes	—
779	#126	C₂³×C₇	1	16	yes	—
780	#126	C₂³×C₇	1	16	yes	—
781	#126	C₂³×C₇	1	16	yes	—
782	#126	C₂³×C₇	1	16	yes	complemented
783	#126	C₂³×C₇	1	16	yes	complemented
784	#126	C₂³×C₇	1	16	yes	complemented
785	#126	C₂³×C₇	1	16	yes	complemented
786	#126	C₂³×C₇	1	8	yes	complemented
787	#126	C₂³×C₇	1	16	yes	complemented
788	#126	C₂³×C₇	1	16	yes	complemented
789	#125	C₂³×C₇	1	16	yes	complemented
790	#125	C₂³×C₇	1	8	yes	complemented
791	#125	C₂³×C₇	1	8	yes	complemented
792	#125	C₂³×C₇	1	16	yes	complemented
793	#125	C₂³×C₇	1	16	yes	complemented
794	#125	C₂³×C₇	1	8	yes	complemented
795	#124	C₂³×C₇	1	8	yes	—
796	#124	C₂³×C₇	1	8	yes	—
797	#124	C₂³×C₇	1	16	yes	—
798	#124	C₂³×C₇	1	8	yes	—
799	#124	C₂³×C₇	1	16	yes	complemented
800	#123	C₂³×C₇	1	16	yes	—
801	#123	C₂³×C₇	1	8	yes	—
802	#123	C₂³×C₇	1	16	yes	—
803	#123	C₂³×C₇	1	16	yes	—
804	#123	C₂³×C₇	1	16	yes	complemented
805	#123	C₂³×C₇	1	16	yes	complemented
806	#123	C₂³×C₇	1	8	yes	complemented
807	#123	C₂³×C₇	1	16	yes	complemented
808	#123	C₂³×C₇	1	16	yes	complemented
809	#123	C₂³×C₇	1	16	yes	complemented
810	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
811	C₂²⋊Q₈	C₂³×C₇	1	8	yes	—
812	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
813	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
814	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
815	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
816	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
817	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
818	C₂²⋊Q₈	C₂³×C₇	1	8	yes	complemented
819	C₂²⋊Q₈	C₂³×C₇	1	16	yes	complemented
820	#121	C₂³×C₇	1	8	yes	—
821	#121	C₂³×C₇	1	8	yes	—
822	#121	C₂³×C₇	1	16	yes	—
823	#121	C₂³×C₇	1	16	yes	—
824	#121	C₂³×C₇	1	8	yes	—
825	#121	C₂³×C₇	1	16	yes	complemented
826	#121	C₂³×C₇	1	16	yes	complemented
827	#120	C₂³×C₇	1	16	yes	—
828	#120	C₂³×C₇	1	16	yes	—
829	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
830	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
831	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
832	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
833	C₄×Q₈	C₂³×C₇	1	16	yes	complemented
834	C₄×Q₈	C₂³×C₇	1	8	yes	complemented
835	C₄×D₄	C₂³×C₇	1	8	yes	—
836	C₄×D₄	C₂³×C₇	1	8	yes	—
837	C₄×D₄	C₂³×C₇	1	16	yes	—
838	C₄×D₄	C₂³×C₇	1	8	yes	—
839	C₄×D₄	C₂³×C₇	1	8	yes	—
840	C₄×D₄	C₂³×C₇	1	16	yes	—
841	C₄×D₄	C₂³×C₇	1	8	yes	—
842	C₄×D₄	C₂³×C₇	1	8	yes	—
843	C₄×D₄	C₂³×C₇	1	8	yes	—
844	C₄×D₄	C₂³×C₇	1	8	yes	—
845	C₄×D₄	C₂³×C₇	1	16	yes	complemented
846	C₄×D₄	C₂³×C₇	1	16	yes	complemented
847	C₄×D₄	C₂³×C₇	1	16	yes	complemented
848	C₄×D₄	C₂³×C₇	1	16	yes	complemented
849	C₄×D₄	C₂³×C₇	1	8	yes	complemented
850	C₄×D₄	C₂³×C₇	1	16	yes	complemented
851	C₄×D₄	C₂³×C₇	1	16	yes	complemented
852	#117	C₂³×C₇	1	8	yes	—
853	#117	C₂³×C₇	1	8	yes	—
854	#117	C₂³×C₇	1	16	yes	complemented
855	#117	C₂³×C₇	1	8	yes	complemented
856	#117	C₂³×C₇	1	8	yes	complemented
857	#117	C₂³×C₇	1	16	yes	complemented
858	#117	C₂³×C₇	1	16	yes	complemented
859	#117	C₂³×C₇	1	16	yes	complemented
860	#117	C₂³×C₇	1	16	yes	complemented
861	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
863	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
867	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
868	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
870	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
871	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
872	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
873	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
874	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
875	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
882	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
883	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
884	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
885	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
886	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
889	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
890	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
892	C₂×C₄⋊C₄	C₂³×C₇	1	8	yes	complemented
893	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
894	C₂×C₄⋊C₄	C₂³×C₇	1	16	yes	complemented
895	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
897	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
904	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
905	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
906	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
907	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
908	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
909	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
910	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
911	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
912	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
913	C₂×C₂²⋊C₄	C₂³×C₇	1	16	yes	—
914	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
915	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
916	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
917	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
919	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
921	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
922	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
923	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₇	1	2	yes	—
926	C₂×C₂²⋊C₄	C₂³×C₇	1	1	yes	characteristic
927	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
928	C₂×C₄²	C₂³×C₇	1	2	yes	—
929	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
930	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₇	1	2	yes	—
932	C₂×C₄²	C₂³×C₇	1	2	yes	—
933	C₂×C₄²	C₂³×C₇	1	2	yes	—
934	C₂×C₄²	C₂³×C₇	1	2	yes	—
935	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
936	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
937	C₂×C₄²	C₂³×C₇	1	2	yes	—
938	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
939	C₂×C₄²	C₂³×C₇	1	16	yes	complemented
940	C₂×C₄²	C₂³×C₇	1	8	yes	complemented
941	C₂²×C₇	—	2	4	no	—
942	C₂²×C₇	—	2	4	no	—
943	C₂²×C₇	—	2	16	no	—
944	C₂²×C₇	—	2	2	no	—
945	C₂²×C₇	—	2	2	no	—
946	C₂²×C₇	—	2	2	no	—
947	C₂²×C₇	—	2	4	no	—
948	C₂²×C₇	—	2	2	no	—
949	C₂²×C₇	—	2	2	no	—
950	C₂²×C₇	—	2	2	no	—
951	C₂²×C₇	—	2	4	no	—
952	C₂²×C₇	—	2	4	no	—
953	C₂²×C₇	—	2	2	no	—
954	C₂²×C₇	—	2	2	no	—
955	C₂²×C₇	—	2	2	no	—
956	C₂²×C₇	—	4	4	no	—
957	C₂²×C₇	—	4	4	no	—
958	C₂²×C₇	—	4	8	no	—
959	C₂²×C₇	—	4	4	no	—
960	C₂²×C₇	—	8	16	no	—
961	C₂²×C₇	C₂²×#41	1	8	yes	—
962	C₂²×C₇	C₂²×#41	1	2	yes	—
963	C₂²×C₇	#585	1	2	yes	—
964	C₂²×C₇	#585	1	2	yes	—
965	C₂²×C₇	C₂⁶	1	1	yes	characteristic
966	C₄×C₇	—	2	2	no	—
967	C₄×C₇	—	2	2	no	—
968	C₄×C₇	—	2	2	no	—
969	C₄×C₇	—	2	4	no	—
970	C₄×C₇	—	2	4	no	—
971	C₄×C₇	—	2	2	no	—
972	C₄×C₇	—	2	4	no	—
973	C₄×C₇	—	2	2	no	—
974	C₄×C₇	—	2	2	no	—
975	C₄×C₇	—	2	4	no	—
976	C₄×C₇	—	2	2	no	—
977	C₄×C₇	—	2	2	no	—
978	C₄×C₇	—	2	2	no	—
979	C₄×C₇	—	2	4	no	—
980	C₄×C₇	—	2	2	no	—
981	C₄×C₇	—	2	4	no	—
982	C₄×C₇	—	2	2	no	—
983	C₄×C₇	C₂²×#41	1	4	yes	—
984	C₂⁴	—	2	8	no	—
985	C₂⁴	—	4	4	no	—
986	C₂⁴	—	4	4	no	—
987	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
988	C₂⁴	C₂⁴×C₇	1	2	yes	—
989	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
990	C₂⁴	C₂⁴×C₇	1	1	yes	characteristic
991	C₂⁴	C₂⁴×C₇	1	2	yes	—
992	C₂⁴	C₂⁴×C₇	1	8	yes	—
993	#41	—	2	32	no	—
994	#41	—	2	32	no	—
995	C₂×Q₈	—	2	4	no	—
996	C₂×Q₈	—	2	4	no	—
997	C₂×Q₈	—	4	2	no	—
998	C₂×Q₈	—	4	4	no	—
999	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1000	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1001	C₂×Q₈	C₂⁴×C₇	1	4	yes	—
1002	C₂×Q₈	C₂⁴×C₇	1	8	yes	—
1003	C₂×D₄	—	2	8	no	—
1004	C₂×D₄	—	2	8	no	—
1005	C₂×D₄	—	2	8	no	—
1006	C₂×D₄	—	2	32	no	—
1007	C₂×D₄	—	2	4	no	—
1008	C₂×D₄	—	4	4	no	—
1009	C₂×D₄	—	4	2	no	—
1010	C₂×D₄	—	4	2	no	—
1011	C₂×D₄	—	4	4	no	—
1012	C₂×D₄	—	4	2	no	—
1013	C₂×D₄	C₇×#41	1	8	yes	—
1014	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1015	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1016	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1017	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1018	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1019	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1020	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1021	C₂×D₄	C₂⁴×C₇	1	8	yes	—
1022	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1023	C₂×D₄	C₂⁴×C₇	1	4	yes	—
1024	C₂²×C₄	—	2	8	no	—
1025	C₂²×C₄	—	2	8	no	—
1026	C₂²×C₄	—	2	4	no	—
1027	C₂²×C₄	—	2	4	no	—
1028	C₂²×C₄	—	2	4	no	—
1029	C₂²×C₄	—	4	4	no	—
1030	C₂²×C₄	—	4	2	no	—
1031	C₂²×C₄	—	4	4	no	—
1032	C₂²×C₄	—	4	4	no	—
1033	C₂²×C₄	—	4	4	no	—
1034	C₂²×C₄	—	4	4	no	—
1035	C₂²×C₄	—	4	2	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	—	4	4	no	—
1038	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1039	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1040	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1041	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1042	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1043	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1044	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1045	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1046	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1048	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1050	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
1054	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1055	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1056	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1058	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1059	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1060	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1061	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1062	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1063	C₂²×C₄	C₂⁴×C₇	1	4	yes	—
1064	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1065	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1066	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1067	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1068	C₂²×C₄	C₂⁴×C₇	1	8	yes	—
1069	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1070	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1071	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1072	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1073	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1074	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1075	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1076	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1077	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1078	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1079	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1080	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1081	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1082	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1083	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1084	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1085	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1086	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1087	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1088	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1089	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1090	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1091	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1092	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1093	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1094	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1095	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1096	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1097	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1098	C₄⋊C₄	C₂⁴×C₇	1	8	yes	—
1099	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
1100	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1101	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1102	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1103	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1104	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1105	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1106	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1107	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1108	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1109	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1110	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1111	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1112	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1113	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1114	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1115	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1116	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1117	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1118	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1119	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1120	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1121	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1122	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1123	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1124	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1125	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1126	C₂²⋊C₄	C₂⁴×C₇	1	8	yes	—
1127	C₂²⋊C₄	C₂⁴×C₇	1	4	yes	—
1128	C₄²	C₂⁴×C₇	1	4	yes	—
1129	C₄²	C₂⁴×C₇	1	4	yes	—
1130	C₄²	C₂⁴×C₇	1	4	yes	—
1131	C₄²	C₂⁴×C₇	1	8	yes	—
1132	C₄²	C₂⁴×C₇	1	8	yes	—
1133	C₄²	C₂⁴×C₇	1	4	yes	—
1134	C₄²	C₂⁴×C₇	1	8	yes	—
1135	C₄²	C₂⁴×C₇	1	8	yes	—
1136	C₄²	C₂⁴×C₇	1	4	yes	—
1137	C₄²	C₂⁴×C₇	1	8	yes	—
1138	C₄²	C₂⁴×C₇	1	8	yes	—
1139	C₄²	C₂⁴×C₇	1	4	yes	—
1140	C₂×C₇	—	2	8	no	—
1141	C₂×C₇	—	4	2	no	—
1142	C₂×C₇	—	4	2	no	—
1143	C₂×C₇	—	4	4	no	—
1144	C₂×C₇	—	4	2	no	—
1145	C₂×C₇	#3521	1	4	yes	direct product factor
1146	C₂×C₇	C₂³×#41	1	1	yes	characteristic
1147	C₂×C₇	C₂×#585	1	1	yes	characteristic
1148	C₂×C₇	C₂×#585	1	1	yes	characteristic
1149	C₂³	—	2	4	no	—
1150	C₂³	—	2	4	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	2	no	—
1158	C₂³	—	2	4	no	—
1159	C₂³	—	2	4	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	16	no	—
1164	C₂³	—	4	8	no	—
1165	C₂³	—	4	8	no	—
1166	C₂³	—	8	16	no	—
1167	C₂³	C₂×C₇×#41	1	8	yes	—
1168	C₂³	C₂⁵×C₇	1	2	yes	—
1169	C₂³	C₂⁵×C₇	1	4	yes	—
1170	C₂³	C₂⁵×C₇	1	2	yes	—
1171	C₂³	C₂⁵×C₇	1	2	yes	—
1172	C₂³	C₂⁵×C₇	1	4	yes	—
1173	C₂³	C₂⁵×C₇	1	1	yes	characteristic
1174	Q₈	—	2	8	no	—
1175	Q₈	—	2	8	no	—
1176	Q₈	—	4	4	no	—
1177	Q₈	—	4	8	no	—
1178	D₄	—	2	16	no	—
1179	D₄	—	2	16	no	—
1180	D₄	—	2	16	no	—
1181	D₄	—	2	8	no	—
1182	D₄	—	4	8	no	—
1183	D₄	—	4	4	no	—
1184	D₄	—	4	4	no	—
1185	D₄	—	4	8	no	—
1186	D₄	—	4	4	no	—
1187	D₄	C₂×C₇×#41	1	16	yes	—
1188	C₂×C₄	—	2	2	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	4	no	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	16	no	—
1194	C₂×C₄	—	2	16	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	4	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	4	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	4	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	4	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	8	no	—
1208	C₂×C₄	—	2	8	no	—
1209	C₂×C₄	—	2	8	no	—
1210	C₂×C₄	—	4	8	no	—
1211	C₂×C₄	—	4	4	no	—
1212	C₂×C₄	—	4	8	no	—
1213	C₂×C₄	—	4	8	no	—
1214	C₂×C₄	—	4	8	no	—
1215	C₂×C₄	—	4	8	no	—
1216	C₂×C₄	—	4	4	no	—
1217	C₂×C₄	—	4	8	no	—
1218	C₂×C₄	—	4	8	no	—
1219	C₂×C₄	C₂×C₇×#41	1	4	yes	—
1220	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1221	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1222	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1223	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1224	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1225	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1226	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1227	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1228	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1229	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1230	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1231	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1232	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1233	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1234	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1235	C₂×C₄	C₂⁵×C₇	1	4	yes	—
1236	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1237	C₂×C₄	C₂⁵×C₇	1	2	yes	—
1238	C₇	C₂×#3521	1	1	yes	characteristic, direct product factor, Sylow
1239	C₂²	—	2	4	no	—
1240	C₂²	—	2	4	no	—
1241	C₂²	—	2	16	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	2	no	—
1245	C₂²	—	2	4	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	4	no	—
1250	C₂²	—	2	4	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	2	2	no	—
1253	C₂²	—	2	2	no	—
1254	C₂²	—	4	4	no	—
1255	C₂²	—	4	8	no	—
1256	C₂²	—	4	4	no	—
1257	C₂²	—	4	4	no	—
1258	C₂²	—	8	16	no	—
1259	C₂²	C₂²×C₇×#41	1	8	yes	—
1260	C₂²	C₂²×C₇×#41	1	2	yes	—
1261	C₂²	C₇×#585	1	2	yes	—
1262	C₂²	C₇×#585	1	2	yes	—
1263	C₂²	C₂⁶×C₇	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	4	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	4	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	4	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	4	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	4	no	—
1280	C₄	—	2	2	no	—
1281	C₄	C₂²×C₇×#41	1	4	yes	—
1282	C₂	—	2	8	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	4	4	no	—
1285	C₂	—	4	2	no	—
1286	C₂	—	4	2	no	—
1287	C₂	C₇×#3521	1	4	yes	direct product factor
1288	C₂	C₂³×C₇×#41	1	1	yes	characteristic
1289	C₂	C₂×C₇×#585	1	1	yes	characteristic
1290	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×#3521	C₂	direct (N × H)
2. C₂×C₇×#556	C₂	semidirect
3. C₂×C₇×#556	C₂	semidirect
4. C₂×C₇×#554	C₂	semidirect
5. C₂×C₇×#553	C₂	semidirect
6. C₂×C₇×#553	C₂	semidirect
7. C₂×C₇×#552	C₂	semidirect
8. C₂×C₇×#552	C₂	semidirect
9. C₂×C₇×#551	C₂	semidirect
10. C₂×C₇×#551	C₂	semidirect
11. C₂×C₇×#547	C₂	semidirect
12. C₂×C₇×#546	C₂	semidirect
13. C₂×C₇×#546	C₂	semidirect
14. C₂×C₇×#542	C₂	semidirect
15. C₂×C₇×#541	C₂	semidirect
16. C₂×C₇×#539	C₂	semidirect
17. C₂×C₇×#538	C₂	semidirect
18. C₂×C₇×#529	C₂	semidirect
19. C₂×C₇×#529	C₂	semidirect
20. C₂×C₇×#529	C₂	semidirect
21. C₂²×C₇×#126	C₂	semidirect
22. C₂×C₇×#520	C₂	semidirect
23. C₂×C₇×#518	C₂	semidirect
24. C₂×C₄×C₇×#41	C₂	semidirect
28. C₇×#556	C₂²	semidirect
29. C₇×#556	C₂²	semidirect
30. C₇×#554	C₂²	semidirect
31. C₇×#553	C₂²	semidirect
32. C₇×#553	C₂²	semidirect
33. C₇×#552	C₂²	semidirect
34. C₇×#552	C₂²	semidirect
35. C₇×#551	C₂²	semidirect
36. C₇×#551	C₂²	semidirect
37. C₇×#547	C₂²	semidirect
38. C₇×#546	C₂²	semidirect
39. C₇×#546	C₂²	semidirect
40. C₇×#542	C₂²	semidirect
41. C₇×#541	C₂²	semidirect
42. C₇×#539	C₂²	semidirect
43. C₇×#538	C₂²	semidirect
44. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
45. C₂×C₇×C₄⋊Q₈	C₂²	semidirect
46. C₇×#529	C₂²	semidirect
47. C₇×#529	C₂²	semidirect
48. C₇×#529	C₂²	semidirect
54. C₂×C₇×#126	C₂²	semidirect
55. C₂×C₇×#126	C₂²	semidirect
56. C₂×C₇×#126	C₂²	semidirect
57. C₂×C₇×#126	C₂²	semidirect
58. C₂×C₇×#126	C₂²	semidirect
59. C₂×C₇×#126	C₂²	semidirect
60. C₂×C₇×#126	C₂²	semidirect
61. C₂×C₇×#126	C₂²	semidirect
62. C₂×C₇×#125	C₂²	semidirect
63. C₂×C₇×#125	C₂²	semidirect
64. C₂×C₇×#125	C₂²	semidirect
65. C₂×C₇×#125	C₂²	semidirect
66. C₂×C₇×#125	C₂²	semidirect
67. C₂×C₇×#125	C₂²	semidirect
72. C₂×C₇×#124	C₂²	semidirect
77. C₂×C₇×#123	C₂²	semidirect
78. C₂×C₇×#123	C₂²	semidirect
79. C₂×C₇×#123	C₂²	semidirect
80. C₂×C₇×#123	C₂²	semidirect
81. C₂×C₇×#123	C₂²	semidirect
82. C₂×C₇×#123	C₂²	semidirect
85. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
86. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
87. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
88. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
89. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
90. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
91. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
92. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
98. C₂×C₇×#121	C₂²	semidirect
99. C₂×C₇×#121	C₂²	semidirect
102. C₇×#520	C₂²	semidirect
103. C₇×#518	C₂²	semidirect
104. C₄×C₇×#41	C₂²	semidirect
105. C₂×C₄×C₇×Q₈	C₂²	semidirect
106. C₂×C₄×C₇×Q₈	C₂²	semidirect
107. C₂×C₄×C₇×Q₈	C₂²	semidirect
108. C₂×C₄×C₇×Q₈	C₂²	semidirect
109. C₂×C₄×C₇×Q₈	C₂²	semidirect
110. C₂×C₄×C₇×Q₈	C₂²	semidirect
121. C₂×C₄×C₇×D₄	C₂²	semidirect
122. C₂×C₄×C₇×D₄	C₂²	semidirect
123. C₂×C₄×C₇×D₄	C₂²	semidirect
124. C₂×C₄×C₇×D₄	C₂²	semidirect
125. C₂×C₄×C₇×D₄	C₂²	semidirect
126. C₂×C₄×C₇×D₄	C₂²	semidirect
127. C₂×C₄×C₇×D₄	C₂²	semidirect
130. C₂×C₇×#117	C₂²	semidirect
131. C₂×C₇×#117	C₂²	semidirect
132. C₂×C₇×#117	C₂²	semidirect
133. C₂×C₇×#117	C₂²	semidirect
134. C₂×C₇×#117	C₂²	semidirect
135. C₂×C₇×#117	C₂²	semidirect
136. C₂×C₇×#117	C₂²	semidirect
137. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
138. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
139. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
140. C₂²×C₇×C₄⋊C₄	C₂²	semidirect
145. C₂²×C₄²×C₇	C₂²	semidirect
146. C₂²×C₄²×C₇	C₂²	semidirect
147. C₂×#3521	C₇	direct (N × H)
183. C₇×C₄⋊Q₈	C₂³	semidirect
184. C₇×C₄⋊Q₈	C₂³	semidirect
190. C₇×#126	C₂³	semidirect
191. C₇×#126	C₂³	semidirect
192. C₇×#126	C₂³	semidirect
193. C₇×#126	C₂³	semidirect
194. C₇×#126	C₂³	semidirect
195. C₇×#126	C₂³	semidirect
196. C₇×#126	C₂³	semidirect
197. C₇×#125	C₂³	semidirect
198. C₇×#125	C₂³	semidirect
199. C₇×#125	C₂³	semidirect
200. C₇×#125	C₂³	semidirect
201. C₇×#125	C₂³	semidirect
202. C₇×#125	C₂³	semidirect
207. C₇×#124	C₂³	semidirect
212. C₇×#123	C₂³	semidirect
213. C₇×#123	C₂³	semidirect
214. C₇×#123	C₂³	semidirect
215. C₇×#123	C₂³	semidirect
216. C₇×#123	C₂³	semidirect
217. C₇×#123	C₂³	semidirect
220. C₇×C₂²⋊Q₈	C₂³	semidirect
221. C₇×C₂²⋊Q₈	C₂³	semidirect
222. C₇×C₂²⋊Q₈	C₂³	semidirect
223. C₇×C₂²⋊Q₈	C₂³	semidirect
224. C₇×C₂²⋊Q₈	C₂³	semidirect
225. C₇×C₂²⋊Q₈	C₂³	semidirect
226. C₇×C₂²⋊Q₈	C₂³	semidirect
227. C₇×C₂²⋊Q₈	C₂³	semidirect
233. C₇×#121	C₂³	semidirect
234. C₇×#121	C₂³	semidirect
237. C₄×C₇×Q₈	C₂³	semidirect
238. C₄×C₇×Q₈	C₂³	semidirect
239. C₄×C₇×Q₈	C₂³	semidirect
240. C₄×C₇×Q₈	C₂³	semidirect
241. C₄×C₇×Q₈	C₂³	semidirect
242. C₄×C₇×Q₈	C₂³	semidirect
253. C₄×C₇×D₄	C₂³	semidirect
254. C₄×C₇×D₄	C₂³	semidirect
255. C₄×C₇×D₄	C₂³	semidirect
256. C₄×C₇×D₄	C₂³	semidirect
257. C₄×C₇×D₄	C₂³	semidirect
258. C₄×C₇×D₄	C₂³	semidirect
259. C₄×C₇×D₄	C₂³	semidirect
262. C₇×#117	C₂³	semidirect
263. C₇×#117	C₂³	semidirect
264. C₇×#117	C₂³	semidirect
265. C₇×#117	C₂³	semidirect
266. C₇×#117	C₂³	semidirect
267. C₇×#117	C₂³	semidirect
268. C₇×#117	C₂³	semidirect
299. C₂×C₇×C₄⋊C₄	C₂³	semidirect
300. C₂×C₇×C₄⋊C₄	C₂³	semidirect
301. C₂×C₇×C₄⋊C₄	C₂³	semidirect
302. C₂×C₇×C₄⋊C₄	C₂³	semidirect
347. C₂×C₄²×C₇	C₂³	semidirect
348. C₂×C₄²×C₇	C₂³	semidirect
349. #3521	C₂×C₇	direct (N × H)
350. C₂×#556	C₂×C₇	semidirect
351. C₂×#556	C₂×C₇	semidirect
352. C₂×#554	C₂×C₇	semidirect
353. C₂×#553	C₂×C₇	semidirect
354. C₂×#553	C₂×C₇	semidirect
355. C₂×#552	C₂×C₇	semidirect
356. C₂×#552	C₂×C₇	semidirect
357. C₂×#551	C₂×C₇	semidirect
358. C₂×#551	C₂×C₇	semidirect
359. C₂×#547	C₂×C₇	semidirect
360. C₂×#546	C₂×C₇	semidirect
361. C₂×#546	C₂×C₇	semidirect
362. C₂×#542	C₂×C₇	semidirect
363. C₂×#541	C₂×C₇	semidirect
364. C₂×#539	C₂×C₇	semidirect
365. C₂×#538	C₂×C₇	semidirect
366. C₂×#529	C₂×C₇	semidirect
367. C₂×#529	C₂×C₇	semidirect
368. C₂×#529	C₂×C₇	semidirect
369. C₂²×#126	C₂×C₇	semidirect
370. C₂×#520	C₂×C₇	semidirect
371. C₂×#518	C₂×C₇	semidirect
372. C₂×C₄×#41	C₂×C₇	semidirect
532. #556	C₂²×C₇	semidirect
533. #556	C₂²×C₇	semidirect
534. #554	C₂²×C₇	semidirect
535. #553	C₂²×C₇	semidirect
536. #553	C₂²×C₇	semidirect
537. #552	C₂²×C₇	semidirect
538. #552	C₂²×C₇	semidirect
539. #551	C₂²×C₇	semidirect
540. #551	C₂²×C₇	semidirect
541. #547	C₂²×C₇	semidirect
542. #546	C₂²×C₇	semidirect
543. #546	C₂²×C₇	semidirect
544. #542	C₂²×C₇	semidirect
545. #541	C₂²×C₇	semidirect
546. #539	C₂²×C₇	semidirect
547. #538	C₂²×C₇	semidirect
548. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
549. C₂×C₄⋊Q₈	C₂²×C₇	semidirect
550. #529	C₂²×C₇	semidirect
551. #529	C₂²×C₇	semidirect
552. #529	C₂²×C₇	semidirect
558. C₂×#126	C₂²×C₇	semidirect
559. C₂×#126	C₂²×C₇	semidirect
560. C₂×#126	C₂²×C₇	semidirect
561. C₂×#126	C₂²×C₇	semidirect
562. C₂×#126	C₂²×C₇	semidirect
563. C₂×#126	C₂²×C₇	semidirect
564. C₂×#126	C₂²×C₇	semidirect
565. C₂×#126	C₂²×C₇	semidirect
566. C₂×#125	C₂²×C₇	semidirect
567. C₂×#125	C₂²×C₇	semidirect
568. C₂×#125	C₂²×C₇	semidirect
569. C₂×#125	C₂²×C₇	semidirect
570. C₂×#125	C₂²×C₇	semidirect
571. C₂×#125	C₂²×C₇	semidirect
576. C₂×#124	C₂²×C₇	semidirect
581. C₂×#123	C₂²×C₇	semidirect
582. C₂×#123	C₂²×C₇	semidirect
583. C₂×#123	C₂²×C₇	semidirect
584. C₂×#123	C₂²×C₇	semidirect
585. C₂×#123	C₂²×C₇	semidirect
586. C₂×#123	C₂²×C₇	semidirect
589. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
590. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
591. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
592. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
593. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
594. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
595. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
596. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
602. C₂×#121	C₂²×C₇	semidirect
603. C₂×#121	C₂²×C₇	semidirect
606. #520	C₂²×C₇	semidirect
607. #518	C₂²×C₇	semidirect
608. C₄×#41	C₂²×C₇	semidirect
609. C₂×C₄×Q₈	C₂²×C₇	semidirect
610. C₂×C₄×Q₈	C₂²×C₇	semidirect
611. C₂×C₄×Q₈	C₂²×C₇	semidirect
612. C₂×C₄×Q₈	C₂²×C₇	semidirect
613. C₂×C₄×Q₈	C₂²×C₇	semidirect
614. C₂×C₄×Q₈	C₂²×C₇	semidirect
625. C₂×C₄×D₄	C₂²×C₇	semidirect
626. C₂×C₄×D₄	C₂²×C₇	semidirect
627. C₂×C₄×D₄	C₂²×C₇	semidirect
628. C₂×C₄×D₄	C₂²×C₇	semidirect
629. C₂×C₄×D₄	C₂²×C₇	semidirect
630. C₂×C₄×D₄	C₂²×C₇	semidirect
631. C₂×C₄×D₄	C₂²×C₇	semidirect
634. C₂×#117	C₂²×C₇	semidirect
635. C₂×#117	C₂²×C₇	semidirect
636. C₂×#117	C₂²×C₇	semidirect
637. C₂×#117	C₂²×C₇	semidirect
638. C₂×#117	C₂²×C₇	semidirect
639. C₂×#117	C₂²×C₇	semidirect
640. C₂×#117	C₂²×C₇	semidirect
641. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
642. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
643. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
644. C₂²×C₄⋊C₄	C₂²×C₇	semidirect
649. C₂²×C₄²	C₂²×C₇	semidirect
650. C₂²×C₄²	C₂²×C₇	semidirect
775. C₄⋊Q₈	C₂³×C₇	semidirect
776. C₄⋊Q₈	C₂³×C₇	semidirect
782. #126	C₂³×C₇	semidirect
783. #126	C₂³×C₇	semidirect
784. #126	C₂³×C₇	semidirect
785. #126	C₂³×C₇	semidirect
786. #126	C₂³×C₇	semidirect
787. #126	C₂³×C₇	semidirect
788. #126	C₂³×C₇	semidirect
789. #125	C₂³×C₇	semidirect
790. #125	C₂³×C₇	semidirect
791. #125	C₂³×C₇	semidirect
792. #125	C₂³×C₇	semidirect
793. #125	C₂³×C₇	semidirect
794. #125	C₂³×C₇	semidirect
799. #124	C₂³×C₇	semidirect
804. #123	C₂³×C₇	semidirect
805. #123	C₂³×C₇	semidirect
806. #123	C₂³×C₇	semidirect
807. #123	C₂³×C₇	semidirect
808. #123	C₂³×C₇	semidirect
809. #123	C₂³×C₇	semidirect
812. C₂²⋊Q₈	C₂³×C₇	semidirect
813. C₂²⋊Q₈	C₂³×C₇	semidirect
814. C₂²⋊Q₈	C₂³×C₇	semidirect
815. C₂²⋊Q₈	C₂³×C₇	semidirect
816. C₂²⋊Q₈	C₂³×C₇	semidirect
817. C₂²⋊Q₈	C₂³×C₇	semidirect
818. C₂²⋊Q₈	C₂³×C₇	semidirect
819. C₂²⋊Q₈	C₂³×C₇	semidirect
825. #121	C₂³×C₇	semidirect
826. #121	C₂³×C₇	semidirect
829. C₄×Q₈	C₂³×C₇	semidirect
830. C₄×Q₈	C₂³×C₇	semidirect
831. C₄×Q₈	C₂³×C₇	semidirect
832. C₄×Q₈	C₂³×C₇	semidirect
833. C₄×Q₈	C₂³×C₇	semidirect
834. C₄×Q₈	C₂³×C₇	semidirect
845. C₄×D₄	C₂³×C₇	semidirect
846. C₄×D₄	C₂³×C₇	semidirect
847. C₄×D₄	C₂³×C₇	semidirect
848. C₄×D₄	C₂³×C₇	semidirect
849. C₄×D₄	C₂³×C₇	semidirect
850. C₄×D₄	C₂³×C₇	semidirect
851. C₄×D₄	C₂³×C₇	semidirect
854. #117	C₂³×C₇	semidirect
855. #117	C₂³×C₇	semidirect
856. #117	C₂³×C₇	semidirect
857. #117	C₂³×C₇	semidirect
858. #117	C₂³×C₇	semidirect
859. #117	C₂³×C₇	semidirect
860. #117	C₂³×C₇	semidirect
891. C₂×C₄⋊C₄	C₂³×C₇	semidirect
892. C₂×C₄⋊C₄	C₂³×C₇	semidirect
893. C₂×C₄⋊C₄	C₂³×C₇	semidirect
894. C₂×C₄⋊C₄	C₂³×C₇	semidirect
939. C₂×C₄²	C₂³×C₇	semidirect
940. C₂×C₄²	C₂³×C₇	semidirect
1145. C₂×C₇	#3521	direct (N × H)
1238. C₇	C₂×#3521	direct (N × H)
1287. C₂	C₇×#3521	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×#3521	2
C₂×C₇×#556	2
C₂×C₇×#554	2
C₂×C₇×#553	2
C₂×C₇×#552	2
C₂×C₇×#551	2
C₂×C₇×#547	2
C₂×C₇×#546	2
C₂×C₇×#542	2
C₂×C₇×#541	2
C₂×C₇×#539	2
C₂×C₇×#538	2
C₂×C₇×#529	2
C₂²×C₇×#126	2
C₂×C₇×#520	2
C₂×C₇×#518	2
C₂×C₄×C₇×#41	2
C₂×#3521	7

Subgroups — C2×C7×#3521 #13239996

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3521 #13239996