Subgroups — #14247179

Order 1792.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743231	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741161	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741160	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741117	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741113	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741022	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741016	C₂	1	1	yes	maximal, characteristic, complemented
9	#11740990	C₂	1	1	yes	maximal, characteristic, complemented
10	#11740987	C₂	1	1	yes	maximal, characteristic, complemented
11	#11740984	C₂	1	1	yes	maximal, characteristic, complemented
12	#11740982	C₂	1	1	yes	maximal, characteristic, complemented
13	#11740967	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740956	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740950	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740947	C₂	1	1	yes	maximal, characteristic, complemented
17	#11740944	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740942	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740894	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740892	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740882	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740880	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740855	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740850	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740834	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740829	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740752	C₂	1	1	yes	maximal, characteristic, complemented
28	#11740741	C₂	1	1	yes	maximal, characteristic, complemented
29	#11740593	C₂	1	1	yes	maximal, characteristic, complemented
30	#11740587	C₂	1	1	yes	maximal, characteristic, complemented
31	#11740575	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#562	—	2	1	no	—
33	C₇×#560	—	2	1	no	—
34	C₇×#559	C₂²	1	1	yes	characteristic, complemented
35	C₇×#556	C₂²	1	1	yes	characteristic, complemented
36	C₇×#553	—	2	1	no	—
37	C₇×#551	—	2	1	no	—
38	C₇×#550	C₂²	1	1	yes	characteristic, complemented
39	C₇×#548	C₂²	1	1	yes	characteristic
40	C₇×#548	C₂²	1	1	yes	characteristic, complemented
41	C₇×#547	C₂²	1	1	yes	characteristic, complemented
42	C₇×#546	C₂²	1	1	yes	characteristic
43	C₇×#546	C₂²	1	1	yes	characteristic, complemented
44	C₇×#541	C₂²	1	1	yes	characteristic, complemented
45	C₇×#540	—	2	1	no	—
46	C₇×#540	C₂²	1	1	yes	characteristic, complemented
47	C₇×#539	—	2	1	no	—
48	C₇×#538	—	2	1	no	—
49	C₇×#538	—	2	1	no	—
50	C₇×#536	C₂²	1	1	yes	characteristic, complemented
51	C₇×#535	C₂²	1	1	yes	characteristic, complemented
52	C₇×#532	C₂²	1	1	yes	characteristic, complemented
53	C₇×#529	C₂²	1	1	yes	characteristic
54	C₇×#529	C₂²	1	1	yes	characteristic, complemented
55	C₂×#6513	C₂²	1	1	yes	characteristic
56	C₂×#6513	C₂²	1	1	yes	characteristic, complemented
57	C₂×#6512	C₂²	1	1	yes	characteristic
58	C₂×#6512	C₂²	1	1	yes	characteristic
59	C₂²×#1143	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#1141	C₂²	1	1	yes	characteristic
61	#90396	—	2	1	no	—
62	#90396	—	2	1	no	—
63	#90382	—	2	1	no	—
64	D₇×#124	—	2	1	no	—
65	#90348	—	2	1	no	—
66	#90348	—	2	1	no	—
67	#90324	—	2	1	no	—
68	#90303	—	2	1	no	—
69	#90276	C₂²	1	1	yes	characteristic, complemented
70	Q₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
71	#90254	C₂²	1	1	yes	characteristic
72	#90254	C₂²	1	1	yes	characteristic, complemented
73	#90241	C₂²	1	1	yes	characteristic
74	#90241	C₂²	1	1	yes	characteristic, complemented
75	D₄×D₂₈	C₂²	1	1	yes	characteristic
76	#90233	C₂²	1	1	yes	characteristic
77	#90225	C₂²	1	1	yes	characteristic
78	#90225	C₂²	1	1	yes	characteristic, complemented
79	#90212	C₂²	1	1	yes	characteristic
80	#90212	C₂²	1	1	yes	characteristic, complemented
81	#90168	C₂²	1	1	yes	characteristic, complemented
82	C₄×#1157	C₂²	1	1	yes	characteristic, complemented
83	#90011	C₂²	1	1	yes	characteristic, complemented
84	#90011	C₂²	1	1	yes	characteristic, complemented
85	#90010	C₂²	1	1	yes	characteristic
86	#90010	C₂²	1	1	yes	characteristic
87	#90010	C₂²	1	1	yes	characteristic, complemented
88	#90010	C₂²	1	1	yes	characteristic, complemented
89	#90010	C₂²	1	1	yes	characteristic, complemented
90	#90010	C₂²	1	1	yes	characteristic, complemented
91	#90005	C₂²	1	1	yes	characteristic, complemented
92	#90005	C₂²	1	1	yes	characteristic, complemented
93	#90005	C₂²	1	1	yes	characteristic, complemented
94	#90005	C₂²	1	1	yes	characteristic, complemented
95	#90000	C₂²	1	1	yes	characteristic, complemented
96	#89999	C₂²	1	1	yes	characteristic, complemented
97	#89997	C₂²	1	1	yes	characteristic, complemented
98	#89990	C₂²	1	1	yes	characteristic, complemented
99	#89989	C₂²	1	1	yes	characteristic
100	#89987	C₂²	1	1	yes	characteristic, complemented
101	#89862	C₂²	1	1	yes	characteristic, complemented
102	#89858	C₂²	1	1	yes	characteristic, complemented
103	#89855	C₂²	1	1	yes	characteristic, complemented
104	#89855	C₂²	1	1	yes	characteristic, complemented
105	#89855	C₂²	1	1	yes	characteristic, complemented
106	#89855	C₂²	1	1	yes	characteristic, complemented
107	#89855	C₂²	1	1	yes	characteristic, complemented
108	#89853	C₂²	1	1	yes	characteristic, complemented
109	#89847	C₂²	1	1	yes	characteristic, complemented
110	#89846	C₂²	1	1	yes	characteristic, complemented
111	#89844	C₂²	1	1	yes	characteristic
112	#89844	C₂²	1	1	yes	characteristic
113	#89844	C₂²	1	1	yes	characteristic, complemented
114	#89844	C₂²	1	1	yes	characteristic, complemented
115	#89844	C₂²	1	1	yes	characteristic, complemented
116	#89842	C₂²	1	1	yes	characteristic, complemented
117	#89838	C₂²	1	1	yes	characteristic, complemented
118	#89838	C₂²	1	1	yes	characteristic, complemented
119	#89838	C₂²	1	1	yes	characteristic, complemented
120	#89835	C₂²	1	1	yes	characteristic, complemented
121	#89831	C₂²	1	1	yes	characteristic, complemented
122	#89831	C₂²	1	1	yes	characteristic, complemented
123	#89830	C₂²	1	1	yes	characteristic
124	#89830	C₂²	1	1	yes	characteristic, complemented
125	#89829	C₂²	1	1	yes	characteristic
126	#89829	C₂²	1	1	yes	characteristic
127	#89829	C₂²	1	1	yes	characteristic
128	#89829	C₂²	1	1	yes	characteristic
129	#89829	C₂²	1	1	yes	characteristic, complemented
130	#89829	C₂²	1	1	yes	characteristic, complemented
131	#89829	C₂²	1	1	yes	characteristic, complemented
132	#89829	C₂²	1	1	yes	characteristic, complemented
133	#89829	C₂²	1	1	yes	characteristic, complemented
134	#89827	C₂²	1	1	yes	characteristic, complemented
135	#89827	C₂²	1	1	yes	characteristic, complemented
136	#89827	C₂²	1	1	yes	characteristic, complemented
137	#89827	C₂²	1	1	yes	characteristic, complemented
138	#89826	C₂²	1	1	yes	characteristic, complemented
139	#89826	C₂²	1	1	yes	characteristic, complemented
140	#89826	C₂²	1	1	yes	characteristic, complemented
141	#89824	C₂²	1	1	yes	characteristic, complemented
142	#89823	C₂²	1	1	yes	characteristic, complemented
143	#89821	C₂²	1	1	yes	characteristic
144	#89820	C₂²	1	1	yes	characteristic
145	#89820	C₂²	1	1	yes	characteristic, complemented
146	#89820	C₂²	1	1	yes	characteristic, complemented
147	#89819	C₂²	1	1	yes	characteristic, complemented
148	#89818	C₂²	1	1	yes	characteristic
149	#89818	C₂²	1	1	yes	characteristic
150	#89817	C₂²	1	1	yes	characteristic, complemented
151	#89817	C₂²	1	1	yes	characteristic, complemented
152	#89817	C₂²	1	1	yes	characteristic, complemented
153	#89814	C₂²	1	1	yes	characteristic, complemented
154	#89813	C₂²	1	1	yes	characteristic, complemented
155	#89811	C₂²	1	1	yes	characteristic
156	#89810	C₂²	1	1	yes	characteristic, complemented
157	#89810	C₂²	1	1	yes	characteristic, complemented
158	#89810	C₂²	1	1	yes	characteristic, complemented
159	#89809	C₂²	1	1	yes	characteristic
160	#89808	C₂²	1	1	yes	characteristic
161	#89808	C₂²	1	1	yes	characteristic, complemented
162	#89807	C₂²	1	1	yes	characteristic, complemented
163	#89807	C₂²	1	1	yes	characteristic, complemented
164	#89807	C₂²	1	1	yes	characteristic, complemented
165	#89802	C₂²	1	1	yes	characteristic, complemented
166	#89800	C₂²	1	1	yes	characteristic, complemented
167	#89800	C₂²	1	1	yes	characteristic, complemented
168	#89799	C₂²	1	1	yes	characteristic, complemented
169	#89798	C₂²	1	1	yes	characteristic, complemented
170	#89798	C₂²	1	1	yes	characteristic, complemented
171	#89798	C₂²	1	1	yes	characteristic, complemented
172	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
173	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
174	#89796	C₂²	1	1	yes	characteristic, complemented
175	#89796	C₂²	1	1	yes	characteristic, complemented
176	#89793	C₂²	1	1	yes	characteristic, complemented
177	#89793	C₂²	1	1	yes	characteristic, complemented
178	#89792	C₂²	1	1	yes	characteristic, complemented
179	#89790	C₂²	1	1	yes	characteristic, complemented
180	#89788	C₂²	1	1	yes	characteristic, complemented
181	#89788	C₂²	1	1	yes	characteristic, complemented
182	#89787	C₂²	1	1	yes	characteristic
183	#89786	C₂²	1	1	yes	characteristic
184	#89786	C₂²	1	1	yes	characteristic, complemented
185	#89786	C₂²	1	1	yes	characteristic, complemented
186	C₄×#1141	C₂²	1	1	yes	characteristic
187	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
188	#89783	C₂²	1	1	yes	characteristic
189	#89783	C₂²	1	1	yes	characteristic
190	#89783	C₂²	1	1	yes	characteristic, complemented
191	#89783	C₂²	1	1	yes	characteristic, complemented
192	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
193	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
194	#89780	C₂²	1	1	yes	characteristic, complemented
195	#89780	C₂²	1	1	yes	characteristic, complemented
196	#89779	C₂²	1	1	yes	characteristic, complemented
197	#89772	C₂²	1	1	yes	characteristic, complemented
198	#89772	C₂²	1	1	yes	characteristic, complemented
199	#89771	C₂²	1	1	yes	characteristic, complemented
200	#89771	C₂²	1	1	yes	characteristic, complemented
201	#89698	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
203	#62011	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂×C₇×#41	C₂³	1	1	yes	characteristic
207	C₂×C₇×#41	C₂³	1	1	yes	characteristic
208	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
209	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₇	—	2	1	no	—
211	C₂×D₄×D₇	—	2	1	no	—
212	C₂×#1157	—	2	1	no	—
213	C₂×#1157	C₂³	1	1	yes	characteristic
214	C₂²×D₂₈	C₂³	1	1	yes	characteristic
215	C₂²×D₂₈	C₂³	1	1	yes	characteristic
216	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₇×#127	—	2	1	no	—
219	C₇×#127	C₂³	1	1	yes	characteristic
220	C₇×#127	C₂³	1	1	yes	characteristic
221	C₇×#126	—	2	1	no	—
222	C₇×#126	—	2	1	no	—
223	C₇×#126	—	2	1	no	—
224	C₇×#126	—	2	1	no	—
225	C₇×#126	—	2	1	no	—
226	C₇×#126	D₄	1	1	yes	characteristic
227	C₇×#126	D₄	1	1	yes	characteristic
228	C₇×#125	—	2	1	no	—
229	C₇×#125	—	2	1	no	—
230	C₇×#125	D₄	1	1	yes	characteristic
231	C₇×#125	C₂³	1	1	yes	characteristic
232	C₇×#124	—	2	1	no	—
233	C₇×#124	—	2	1	no	—
234	C₇×#124	—	2	1	no	—
235	C₇×#124	D₄	1	1	yes	characteristic
236	C₇×#124	C₂³	1	1	yes	characteristic
237	C₇×#124	C₂³	1	1	yes	characteristic
238	C₇×#124	C₂³	1	1	yes	characteristic
239	C₇×#124	C₂³	1	1	yes	characteristic
240	C₇×#124	C₂³	1	1	yes	characteristic
241	C₇×#123	—	2	1	no	—
242	C₇×#123	—	2	1	no	—
243	C₇×#123	—	2	1	no	—
244	C₇×#123	—	2	1	no	—
245	C₇×#123	—	2	1	no	—
246	C₇×#123	—	2	1	no	—
247	C₇×#123	—	2	1	no	—
248	C₇×#123	—	2	1	no	—
249	C₇×#123	—	2	1	no	—
250	C₇×#123	—	2	1	no	—
251	C₇×#123	—	2	1	no	—
252	C₇×#123	D₄	1	1	yes	characteristic
253	C₇×#123	D₄	1	1	yes	characteristic
254	C₇×C₂²⋊Q₈	—	2	1	no	—
255	C₇×C₂²⋊Q₈	—	2	1	no	—
256	C₇×C₂²⋊Q₈	—	2	1	no	—
257	C₇×C₂²⋊Q₈	—	2	1	no	—
258	C₇×C₂²⋊Q₈	—	2	1	no	—
259	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
260	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₇×#121	—	2	1	no	—
264	C₇×#121	—	2	1	no	—
265	C₇×#121	—	2	1	no	—
266	C₇×#121	—	2	1	no	—
267	C₇×#121	—	2	1	no	—
268	C₇×#121	—	2	1	no	—
269	C₇×#121	—	2	1	no	—
270	C₇×#121	—	2	1	no	—
271	C₇×#121	—	2	1	no	—
272	C₇×#121	—	2	1	no	—
273	C₇×#121	—	2	1	no	—
274	C₇×#121	—	2	1	no	—
275	C₇×#121	—	2	1	no	—
276	C₇×#121	D₄	1	1	yes	characteristic
277	C₇×#121	C₂³	1	1	yes	characteristic
278	C₇×#121	C₂³	1	1	yes	characteristic
279	C₇×#121	C₂³	1	1	yes	characteristic
280	C₇×#120	—	2	1	no	—
281	C₇×#120	—	2	1	no	—
282	C₇×#120	—	2	1	no	—
283	C₇×#120	—	2	1	no	—
284	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
285	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
286	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
287	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
288	C₄×C₇×D₄	—	2	1	no	—
289	C₄×C₇×D₄	—	2	1	no	—
290	C₄×C₇×D₄	—	2	1	no	—
291	C₄×C₇×D₄	—	2	1	no	—
292	C₄×C₇×D₄	—	2	1	no	—
293	C₄×C₇×D₄	—	2	1	no	—
294	C₄×C₇×D₄	—	2	1	no	—
295	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
296	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
297	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
298	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
299	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
300	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
301	C₇×#117	—	2	1	no	—
302	C₇×#117	—	2	1	no	—
303	C₇×#117	C₂³	1	1	yes	characteristic
304	C₇×#117	C₂³	1	1	yes	characteristic
305	C₂×C₇×C₄⋊C₄	—	2	1	no	—
306	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
309	#6513	—	4	2	no	—
310	#6513	—	4	2	no	—
311	#6512	—	4	2	no	—
312	#6512	—	4	2	no	—
313	#6510	—	2	1	no	—
314	C₂×#1144	C₂³	1	1	yes	characteristic
315	C₂×#1144	C₂³	1	1	yes	characteristic
316	C₂×#1144	C₂³	1	1	yes	characteristic
317	C₂×#1143	—	4	2	no	—
318	C₂×#1143	C₂³	1	1	yes	characteristic
319	C₂×#1143	C₂³	1	1	yes	characteristic
320	C₂×#1143	C₂³	1	1	yes	characteristic
321	C₂×#1143	C₂³	1	1	yes	characteristic
322	C₂×#1143	C₂³	1	1	yes	characteristic
323	C₂×#1143	C₂³	1	1	yes	characteristic
324	C₂×#1143	C₂³	1	1	yes	characteristic
325	C₂×#1143	C₂³	1	1	yes	characteristic
326	C₂×#1143	C₂³	1	1	yes	characteristic
327	#6501	—	2	1	no	—
328	#6501	—	2	1	no	—
329	#6500	—	2	1	no	—
330	#6500	—	2	1	no	—
331	#6499	—	2	1	no	—
332	C₂×#1142	C₂³	1	1	yes	characteristic
333	C₂×#1142	C₂³	1	1	yes	characteristic
334	C₂×#1142	C₂³	1	1	yes	characteristic
335	C₂×#1141	—	4	2	no	—
336	C₂×#1141	C₂³	1	1	yes	characteristic
337	C₂×#1141	C₂³	1	1	yes	characteristic
338	C₂×#1141	C₂³	1	1	yes	characteristic
339	C₂×#1141	C₂³	1	1	yes	characteristic
340	C₂×#1141	C₂³	1	1	yes	characteristic
341	C₂×#1141	C₂³	1	1	yes	characteristic
342	C₂×#1141	C₂³	1	1	yes	characteristic
343	C₂×#1141	C₂³	1	1	yes	characteristic
344	C₂×#1141	C₂³	1	1	yes	characteristic
345	#6493	—	2	1	no	—
346	#6493	C₂³	1	1	yes	characteristic
347	#6493	C₂³	1	1	yes	characteristic
348	#6493	C₂³	1	1	yes	characteristic
349	#6493	C₂³	1	1	yes	characteristic
350	C₄×C₂²⋊D₇	—	2	1	no	—
351	C₄×C₂²⋊D₇	—	2	1	no	—
352	#6489	C₂³	1	1	yes	characteristic
353	#6489	C₂³	1	1	yes	characteristic
354	#6489	C₂³	1	1	yes	characteristic
355	#6487	C₂³	1	1	yes	characteristic
356	#6487	C₂³	1	1	yes	characteristic
357	C₂×#1136	C₂³	1	1	yes	characteristic
358	C₂×#1136	C₂³	1	1	yes	characteristic
359	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
360	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
361	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
362	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
363	#6461	—	2	1	no	—
364	#6461	—	2	1	no	—
365	#6460	—	2	1	no	—
366	#6460	—	2	1	no	—
367	#6460	—	2	1	no	—
368	#6459	—	2	1	no	—
369	#6459	—	2	1	no	—
370	#6458	—	2	1	no	—
371	#6457	—	2	1	no	—
372	#6457	—	2	1	no	—
373	#6457	—	2	1	no	—
374	#6457	—	2	1	no	—
375	#6456	—	2	1	no	—
376	#6456	—	2	1	no	—
377	#6456	—	2	1	no	—
378	#6456	—	2	1	no	—
379	#6456	—	2	1	no	—
380	#6455	—	2	1	no	—
381	#6455	—	2	1	no	—
382	#6450	—	2	1	no	—
383	#6448	—	2	1	no	—
384	#6448	—	2	1	no	—
385	#6448	—	2	1	no	—
386	#6448	—	2	1	no	—
387	#6448	—	2	1	no	—
388	#6448	—	2	1	no	—
389	#6447	—	2	1	no	—
390	#6447	—	2	1	no	—
391	#6446	—	2	1	no	—
392	#6446	—	2	1	no	—
393	#6445	—	2	1	no	—
394	#6445	—	2	1	no	—
395	D₇×C₂²⋊C₄	—	2	1	no	—
396	D₇×C₂²⋊C₄	—	2	1	no	—
397	D₇×C₂²⋊C₄	—	2	1	no	—
398	D₇×C₂²⋊C₄	—	2	1	no	—
399	D₇×C₂²⋊C₄	—	2	1	no	—
400	D₇×C₂²⋊C₄	—	2	1	no	—
401	#6442	—	2	1	no	—
402	#6442	—	2	1	no	—
403	#6438	—	2	1	no	—
404	#6438	C₂³	1	1	yes	characteristic
405	#6438	C₂³	1	1	yes	characteristic
406	#6437	C₂³	1	1	yes	characteristic
407	C₄×D₂₈	—	2	1	no	—
408	C₄×D₂₈	C₂³	1	1	yes	characteristic
409	C₄×D₂₈	C₂³	1	1	yes	characteristic
410	C₄×D₂₈	C₂³	1	1	yes	characteristic
411	C₄×D₂₈	C₂³	1	1	yes	characteristic
412	C₄×D₂₈	C₂³	1	1	yes	characteristic
413	C₄×D₂₈	C₂³	1	1	yes	characteristic
414	C₄×D₂₈	C₂³	1	1	yes	characteristic
415	C₄×D₂₈	C₂³	1	1	yes	characteristic
416	#6435	—	2	1	no	—
417	C₄²×D₇	—	2	1	no	—
418	#6432	C₂³	1	1	yes	characteristic
419	#6432	C₂³	1	1	yes	characteristic
420	#6432	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
423	#6409	C₂³	1	1	yes	characteristic
424	#6409	C₂³	1	1	yes	characteristic
425	#6409	C₂³	1	1	yes	characteristic
426	#6409	C₂³	1	1	yes	characteristic
427	#6409	C₂³	1	1	yes	characteristic
428	#6409	C₂³	1	1	yes	characteristic
429	#6409	C₂³	1	1	yes	characteristic
430	#6409	C₂³	1	1	yes	characteristic
431	#6409	C₂³	1	1	yes	characteristic
432	#6409	C₂³	1	1	yes	characteristic
433	#6409	C₂³	1	1	yes	characteristic
434	#6409	C₂³	1	1	yes	characteristic
435	#6406	C₂³	1	1	yes	characteristic
436	#6406	C₂³	1	1	yes	characteristic
437	#6406	C₂³	1	1	yes	characteristic
438	#6406	C₂³	1	1	yes	characteristic
439	#6406	C₂³	1	1	yes	characteristic
440	#6406	C₂³	1	1	yes	characteristic
441	#6406	C₂³	1	1	yes	characteristic
442	#6406	C₂³	1	1	yes	characteristic
443	#6406	C₂³	1	1	yes	characteristic
444	#6406	C₂³	1	1	yes	characteristic
445	#6406	C₂³	1	1	yes	characteristic
446	#6406	C₂³	1	1	yes	characteristic
447	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
448	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
449	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
450	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
451	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
452	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
453	#6384	C₂³	1	1	yes	characteristic
454	#6384	C₂³	1	1	yes	characteristic
455	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	#6381	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
473	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
479	#6377	C₂³	1	1	yes	characteristic
480	#6377	C₂³	1	1	yes	characteristic
481	#6377	C₂³	1	1	yes	characteristic
482	#6377	C₂³	1	1	yes	characteristic
483	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
485	#3562	D₇	1	1	yes	characteristic, complemented
486	#3514	—	7	1	no	—
487	#3403	—	7	1	no	—
488	#3401	—	7	1	no	—
489	#3373	—	7	1	no	—
490	#3367	—	7	1	no	—
491	#3321	—	7	1	no	—
492	#3319	—	7	1	no	—
493	#3313	—	7	1	no	—
494	#3311	—	7	1	no	—
495	#3305	—	7	1	no	—
496	#3303	—	7	1	no	—
497	#3282	—	7	1	no	—
498	#3280	—	7	1	no	—
499	#3268	—	7	1	no	—
500	#3267	—	7	1	no	—
501	#3265	—	7	1	no	—
502	#3264	—	7	1	no	—
503	#3258	—	7	1	no	—
504	#3257	—	7	1	no	—
505	#3247	—	7	1	no	—
506	#3225	—	7	1	no	—
507	#3224	—	7	1	no	—
508	#3214	—	7	1	no	—
509	#3123	—	7	1	no	—
510	#3122	—	7	1	no	—
511	#3111	—	7	1	no	—
512	#3042	—	7	1	no	—
513	#3041	—	7	1	no	—
514	#3035	—	7	1	no	—
515	#2992	—	7	1	no	—
516	C₂⁴×C₇	—	2	1	no	—
517	C₂³×D₇	—	2	1	no	—
518	C₂³×D₇	—	2	1	no	—
519	C₇×#41	—	4	1	no	—
520	C₇×#41	—	4	1	no	—
521	C₇×#41	—	4	1	no	—
522	C₇×#41	—	4	1	no	—
523	C₇×#41	—	4	1	no	—
524	C₇×#41	—	4	1	no	—
525	C₇×#41	—	4	1	no	—
526	C₇×#41	—	4	1	no	—
527	C₂×C₇×Q₈	—	2	1	no	—
528	C₂×C₇×Q₈	—	4	1	no	—
529	C₂×C₇×Q₈	—	4	1	no	—
530	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
531	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₇×D₄	—	2	1	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	—	2	1	no	—
537	C₂×C₇×D₄	—	2	1	no	—
538	C₂×C₇×D₄	—	2	1	no	—
539	C₂×C₇×D₄	—	2	1	no	—
540	C₂×C₇×D₄	—	2	1	no	—
541	C₂×C₇×D₄	—	2	1	no	—
542	C₂×C₇×D₄	—	2	1	no	—
543	C₂×C₇×D₄	—	2	1	no	—
544	C₂×C₇×D₄	—	2	1	no	—
545	C₂×C₇×D₄	—	2	1	no	—
546	C₂×C₇×D₄	—	4	1	no	—
547	C₂×C₇×D₄	—	4	1	no	—
548	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
549	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
550	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
551	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
552	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₇	—	2	1	no	—
555	C₂²×C₄×C₇	—	2	1	no	—
556	C₂²×C₄×C₇	—	2	1	no	—
557	C₂²×C₄×C₇	—	2	1	no	—
558	C₂²×C₄×C₇	—	2	1	no	—
559	C₂²×C₄×C₇	—	2	1	no	—
560	C₂²×C₄×C₇	—	2	1	no	—
561	C₂²×C₄×C₇	—	2	1	no	—
562	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
563	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
564	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
567	C₂×C₂²⋊D₇	—	2	1	no	—
568	C₂×C₂²⋊D₇	—	2	1	no	—
569	C₂×C₂²⋊D₇	—	2	1	no	—
570	C₂×C₂²⋊D₇	—	2	1	no	—
571	C₂×C₂²⋊D₇	—	2	1	no	—
572	Q₈×D₇	—	8	2	no	—
573	D₄×D₇	—	8	2	no	—
574	#1157	—	2	2	no	—
575	#1157	—	4	1	no	—
576	#1157	—	8	2	no	—
577	C₂×D₂₈	—	2	2	no	—
578	C₂×D₂₈	—	2	2	no	—
579	C₂×D₂₈	—	2	1	no	—
580	C₂×D₂₈	—	2	1	no	—
581	C₂×D₂₈	—	2	1	no	—
582	C₂×D₂₈	—	2	1	no	—
583	C₂×D₂₈	—	4	1	no	—
584	C₂×D₂₈	—	4	1	no	—
585	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
586	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
587	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₇	—	2	1	no	—
589	C₂×C₄×D₇	—	2	1	no	—
590	C₂×C₄×D₇	—	2	1	no	—
591	C₂×C₄×D₇	—	2	1	no	—
592	C₂×C₄×D₇	—	2	1	no	—
593	C₂×C₄×D₇	—	2	1	no	—
594	C₂×C₄×D₇	—	2	1	no	—
595	C₂×C₄×D₇	—	2	1	no	—
596	C₂×C₄×D₇	—	2	1	no	—
597	C₂×Dic₁₄	—	2	1	no	—
598	C₂×Dic₁₄	—	2	1	no	—
599	C₂×Dic₁₄	—	2	1	no	—
600	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
601	C₇×C₄⋊C₄	—	2	1	no	—
602	C₇×C₄⋊C₄	—	2	1	no	—
603	C₇×C₄⋊C₄	—	2	1	no	—
604	C₇×C₄⋊C₄	—	2	1	no	—
605	C₇×C₄⋊C₄	—	2	1	no	—
606	C₇×C₄⋊C₄	—	2	1	no	—
607	C₇×C₄⋊C₄	—	2	1	no	—
608	C₇×C₄⋊C₄	—	2	1	no	—
609	C₇×C₄⋊C₄	—	2	1	no	—
610	C₇×C₄⋊C₄	—	2	1	no	—
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₇×C₂²⋊C₄	—	2	1	no	—
626	C₇×C₂²⋊C₄	—	2	1	no	—
627	C₇×C₂²⋊C₄	—	2	1	no	—
628	C₇×C₂²⋊C₄	—	2	1	no	—
629	C₇×C₂²⋊C₄	—	2	1	no	—
630	C₇×C₂²⋊C₄	—	2	1	no	—
631	C₇×C₂²⋊C₄	—	2	1	no	—
632	C₇×C₂²⋊C₄	—	2	1	no	—
633	C₇×C₂²⋊C₄	—	2	1	no	—
634	C₇×C₂²⋊C₄	—	2	1	no	—
635	C₇×C₂²⋊C₄	—	2	1	no	—
636	C₇×C₂²⋊C₄	—	2	1	no	—
637	C₇×C₂²⋊C₄	—	2	1	no	—
638	C₇×C₂²⋊C₄	—	2	1	no	—
639	C₇×C₂²⋊C₄	—	2	1	no	—
640	C₇×C₂²⋊C₄	—	2	1	no	—
641	C₇×C₂²⋊C₄	—	2	1	no	—
642	C₇×C₂²⋊C₄	—	2	1	no	—
643	C₇×C₂²⋊C₄	—	2	1	no	—
644	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
651	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₄²×C₇	—	2	1	no	—
655	C₄²×C₇	—	2	1	no	—
656	C₄²×C₇	—	2	1	no	—
657	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
658	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
659	C₄²×C₇	C₂⁴	1	1	yes	characteristic
660	C₄²×C₇	C₂⁴	1	1	yes	characteristic
661	C₄²×C₇	C₂⁴	1	1	yes	characteristic
662	C₄²×C₇	C₂⁴	1	1	yes	characteristic
663	C₂²⋊Dic₇	—	2	1	no	—
664	C₂²⋊Dic₇	—	2	1	no	—
665	C₂²⋊Dic₇	—	2	1	no	—
666	C₂²⋊Dic₇	—	2	1	no	—
667	C₂²⋊Dic₇	—	2	1	no	—
668	#1144	—	4	1	no	—
669	#1144	—	4	1	no	—
670	#1144	—	4	1	no	—
671	#1143	—	2	2	no	—
672	#1143	—	2	2	no	—
673	#1143	—	2	2	no	—
674	#1143	—	4	1	no	—
675	#1143	—	4	1	no	—
676	#1143	—	4	1	no	—
677	#1143	—	4	1	no	—
678	#1143	—	4	1	no	—
679	#1143	—	4	1	no	—
680	#1142	—	4	1	no	—
681	#1142	—	4	1	no	—
682	#1142	—	4	1	no	—
683	#1141	—	2	2	no	—
684	#1141	—	2	2	no	—
685	#1141	—	2	2	no	—
686	#1141	—	4	1	no	—
687	#1141	—	4	1	no	—
688	#1141	—	4	1	no	—
689	#1141	—	4	1	no	—
690	#1141	—	4	1	no	—
691	#1141	—	4	1	no	—
692	(C₂×D₇)⋊C₄	—	2	1	no	—
693	(C₂×D₇)⋊C₄	—	2	1	no	—
694	(C₂×D₇)⋊C₄	—	2	1	no	—
695	(C₂×D₇)⋊C₄	—	2	1	no	—
696	(C₂×D₇)⋊C₄	—	2	1	no	—
697	(C₂×D₇)⋊C₄	—	2	1	no	—
698	(C₂×D₇)⋊C₄	—	2	1	no	—
699	(C₂×D₇)⋊C₄	—	2	1	no	—
700	(C₂×D₇)⋊C₄	—	2	1	no	—
701	(C₂×D₇)⋊C₄	—	2	1	no	—
702	(C₂×D₇)⋊C₄	—	2	1	no	—
703	(C₂×D₇)⋊C₄	—	2	1	no	—
704	(C₂×D₇)⋊C₄	—	2	1	no	—
705	(C₂×D₇)⋊C₄	—	2	1	no	—
706	(C₂×D₇)⋊C₄	—	2	1	no	—
707	(C₂×D₇)⋊C₄	—	2	1	no	—
708	C₄⋊Dic₇	—	2	1	no	—
709	C₄⋊Dic₇	—	2	1	no	—
710	C₄⋊Dic₇	—	2	1	no	—
711	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
714	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
715	Dic₇⋊C₄	—	2	1	no	—
716	Dic₇⋊C₄	—	2	1	no	—
717	Dic₇⋊C₄	—	2	1	no	—
718	Dic₇⋊C₄	—	2	1	no	—
719	C₄×Dic₇	—	2	1	no	—
720	C₄×Dic₇	—	2	1	no	—
721	C₄×Dic₇	—	2	1	no	—
722	C₄×Dic₇	—	2	1	no	—
723	C₄×Dic₇	—	2	1	no	—
724	#1136	—	4	1	no	—
725	#1136	—	4	1	no	—
726	C₂×C₇⋊C₈	—	4	1	no	—
727	C₂×C₇⋊C₈	—	4	1	no	—
728	C₂×C₇⋊C₈	—	4	1	no	—
729	C₂×C₇⋊C₈	—	4	1	no	—
730	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
731	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
732	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
733	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
734	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
735	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
736	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
737	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
738	C₂×AGL(1,ℤ/8)	—	7	1	no	—
739	C₂×AGL(1,ℤ/8)	—	7	1	no	—
740	C₂×#135	—	7	1	no	—
741	C₂×#135	—	7	1	no	—
742	C₂²×SD₁₆	—	7	1	no	—
743	C₂²×D₈	—	7	1	no	—
744	#562	—	2	1	no	—
745	#560	—	2	1	no	—
746	#559	—	7	1	no	—
747	#559	C₂×D₇	1	1	yes	characteristic, complemented
748	#556	—	7	1	no	—
749	#556	C₂×D₇	1	1	yes	characteristic, complemented
750	#555	—	7	1	no	—
751	#555	—	7	1	no	—
752	#553	—	2	1	no	—
753	#551	—	2	1	no	—
754	#551	—	14	1	no	—
755	#551	—	14	1	no	—
756	#550	C₂×D₇	1	1	yes	characteristic, complemented
757	D₄×Q₈	—	7	1	no	—
758	#548	—	14	1	no	—
759	#548	C₂×D₇	1	1	yes	characteristic
760	#548	C₂×D₇	1	1	yes	characteristic, complemented
761	#547	C₂×D₇	1	1	yes	characteristic, complemented
762	#546	—	7	1	no	—
763	#546	—	7	1	no	—
764	#546	—	14	1	no	—
765	#546	C₂×D₇	1	1	yes	characteristic
766	#546	C₂×D₇	1	1	yes	characteristic, complemented
767	D₄²	—	7	1	no	—
768	#542	—	7	1	no	—
769	#542	—	7	1	no	—
770	#541	C₂×D₇	1	1	yes	characteristic, complemented
771	#540	—	2	1	no	—
772	#540	C₂×D₇	1	1	yes	characteristic, complemented
773	#539	—	2	1	no	—
774	#538	—	2	1	no	—
775	#538	—	2	1	no	—
776	#538	—	14	1	no	—
777	#538	—	14	1	no	—
778	#536	C₂×D₇	1	1	yes	characteristic, complemented
779	#535	C₂×D₇	1	1	yes	characteristic, complemented
780	#532	—	7	1	no	—
781	#532	C₂×D₇	1	1	yes	characteristic, complemented
782	#529	—	14	1	no	—
783	#529	C₂×D₇	1	1	yes	characteristic
784	#529	C₂×D₇	1	1	yes	characteristic, complemented
785	C₂×#124	—	14	1	no	—
786	#518	—	7	1	no	—
787	#518	—	7	1	no	—
788	C₄×#41	—	7	1	no	—
789	#497	—	7	1	no	—
790	#496	—	7	1	no	—
791	#496	—	7	1	no	—
792	#496	—	7	1	no	—
793	#495	—	7	1	no	—
794	#495	—	7	1	no	—
795	#489	—	7	1	no	—
796	#489	—	7	1	no	—
797	#489	—	7	1	no	—
798	#489	—	7	1	no	—
799	#487	—	7	1	no	—
800	#486	—	7	1	no	—
801	#485	—	7	1	no	—
802	#485	—	7	1	no	—
803	#485	—	7	1	no	—
804	#482	—	7	1	no	—
805	#482	—	7	1	no	—
806	#482	—	7	1	no	—
807	#479	—	7	1	no	—
808	#478	—	7	1	no	—
809	#478	—	7	1	no	—
810	#478	—	7	1	no	—
811	#477	—	7	1	no	—
812	#477	—	7	1	no	—
813	#476	—	7	1	no	—
814	#476	—	7	1	no	—
815	#475	—	7	1	no	—
816	#474	—	7	1	no	—
817	#470	—	7	1	no	—
818	#469	—	7	1	no	—
819	#468	—	7	1	no	—
820	#468	—	7	1	no	—
821	#467	—	7	1	no	—
822	#466	—	7	1	no	—
823	#466	—	7	1	no	—
824	#466	—	7	1	no	—
825	#465	—	7	1	no	—
826	#465	—	7	1	no	—
827	#465	—	7	1	no	—
828	#465	—	7	1	no	—
829	#464	—	7	1	no	—
830	#464	—	7	1	no	—
831	#464	—	7	1	no	—
832	#464	—	7	1	no	—
833	#464	—	7	1	no	—
834	#463	—	7	1	no	—
835	#463	—	7	1	no	—
836	#463	—	7	1	no	—
837	#463	—	7	1	no	—
838	#463	—	7	1	no	—
839	#463	—	7	1	no	—
840	#463	—	7	1	no	—
841	#463	—	7	1	no	—
842	#463	—	7	1	no	—
843	#463	—	7	1	no	—
844	#463	—	7	1	no	—
845	#462	—	7	1	no	—
846	#461	—	7	1	no	—
847	#461	—	7	1	no	—
848	#461	—	7	1	no	—
849	#461	—	7	1	no	—
850	#461	—	7	1	no	—
851	#460	—	7	1	no	—
852	#460	—	7	1	no	—
853	#459	—	7	1	no	—
854	#459	—	7	1	no	—
855	#459	—	7	1	no	—
856	#459	—	7	1	no	—
857	#459	—	7	1	no	—
858	#459	—	7	1	no	—
859	#452	—	7	1	no	—
860	#452	—	7	1	no	—
861	#452	—	7	1	no	—
862	#451	—	7	1	no	—
863	#450	—	7	1	no	—
864	#450	—	7	1	no	—
865	#450	—	7	1	no	—
866	#449	—	7	1	no	—
867	#449	—	7	1	no	—
868	#449	—	7	1	no	—
869	#449	—	7	1	no	—
870	#449	—	7	1	no	—
871	#449	—	7	1	no	—
872	#449	—	7	1	no	—
873	#448	—	7	1	no	—
874	#447	—	7	1	no	—
875	#447	—	7	1	no	—
876	#447	—	7	1	no	—
877	#446	—	7	1	no	—
878	#446	—	7	1	no	—
879	#442	—	7	1	no	—
880	#442	—	7	1	no	—
881	#442	—	7	1	no	—
882	#441	—	7	1	no	—
883	#440	—	7	1	no	—
884	#440	—	7	1	no	—
885	#440	—	7	1	no	—
886	#440	—	7	1	no	—
887	C₄×SD₁₆	—	7	1	no	—
888	C₄×SD₁₆	—	7	1	no	—
889	C₄×D₈	—	7	1	no	—
890	C₄×D₈	—	7	1	no	—
891	#435	—	7	1	no	—
892	#435	—	7	1	no	—
893	#435	—	7	1	no	—
894	#435	—	7	1	no	—
895	C₈×D₄	—	7	1	no	—
896	C₈×D₄	—	7	1	no	—
897	#433	—	7	1	no	—
898	#433	—	7	1	no	—
899	#432	—	7	1	no	—
900	#424	—	7	1	no	—
901	#424	—	7	1	no	—
902	C₂×C₄⋊C₈	—	7	1	no	—
903	#419	—	7	1	no	—
904	#418	—	7	1	no	—
905	#416	—	7	1	no	—
906	#416	—	7	1	no	—
907	#416	—	7	1	no	—
908	#416	—	7	1	no	—
909	C₂³×C₇	—	2	1	no	—
910	C₂³×C₇	—	2	1	no	—
911	C₂³×C₇	—	2	1	no	—
912	C₂³×C₇	—	8	1	no	—
913	C₂³×C₇	—	8	1	no	—
914	C₂³×C₇	—	8	1	no	—
915	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
916	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
917	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
918	C₂²×D₇	—	2	1	no	—
919	C₂²×D₇	—	2	1	no	—
920	C₂²×D₇	—	2	1	no	—
921	C₂²×D₇	—	4	2	no	—
922	C₂²×D₇	—	4	2	no	—
923	C₂²×D₇	—	8	1	no	—
924	C₂²×D₇	—	8	1	no	—
925	C₂²×D₇	—	8	1	no	—
926	C₂²×D₇	—	8	1	no	—
927	C₇×Q₈	—	2	1	no	—
928	C₇×Q₈	—	2	1	no	—
929	C₇×Q₈	—	2	1	no	—
930	C₇×Q₈	—	2	1	no	—
931	C₇×Q₈	—	2	1	no	—
932	C₇×Q₈	—	2	1	no	—
933	C₇×Q₈	—	4	1	no	—
934	C₇×Q₈	—	8	1	no	—
935	C₇×D₄	—	2	1	no	—
936	C₇×D₄	—	2	1	no	—
937	C₇×D₄	—	2	1	no	—
938	C₇×D₄	—	2	1	no	—
939	C₇×D₄	—	2	1	no	—
940	C₇×D₄	—	2	1	no	—
941	C₇×D₄	—	4	1	no	—
942	C₇×D₄	—	4	1	no	—
943	C₇×D₄	—	4	1	no	—
944	C₇×D₄	—	8	1	no	—
945	C₇×D₄	—	8	1	no	—
946	C₇×D₄	—	8	1	no	—
947	C₇×D₄	—	8	1	no	—
948	C₇×D₄	—	8	1	no	—
949	C₇×D₄	—	8	1	no	—
950	C₇×D₄	—	8	1	no	—
951	C₇×D₄	—	8	1	no	—
952	C₇×D₄	—	8	1	no	—
953	C₇×D₄	—	8	1	no	—
954	C₇×D₄	—	8	1	no	—
955	C₇×D₄	—	8	1	no	—
956	C₂×C₄×C₇	—	2	1	no	—
957	C₂×C₄×C₇	—	2	1	no	—
958	C₂×C₄×C₇	—	2	1	no	—
959	C₂×C₄×C₇	—	2	1	no	—
960	C₂×C₄×C₇	—	2	1	no	—
961	C₂×C₄×C₇	—	2	1	no	—
962	C₂×C₄×C₇	—	2	1	no	—
963	C₂×C₄×C₇	—	2	1	no	—
964	C₂×C₄×C₇	—	2	1	no	—
965	C₂×C₄×C₇	—	2	1	no	—
966	C₂×C₄×C₇	—	2	1	no	—
967	C₂×C₄×C₇	—	4	1	no	—
968	C₂×C₄×C₇	—	4	1	no	—
969	C₂×C₄×C₇	—	8	1	no	—
970	C₂×C₄×C₇	—	8	1	no	—
971	C₂×C₄×C₇	—	8	1	no	—
972	C₂×C₄×C₇	—	8	1	no	—
973	C₂×C₄×C₇	—	8	1	no	—
974	C₂×C₄×C₇	—	8	1	no	—
975	C₂×C₄×C₇	—	8	1	no	—
976	C₂×C₄×C₇	—	8	1	no	—
977	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
980	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
984	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
985	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
986	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
989	C₂²⋊D₇	—	4	2	no	—
990	C₂²⋊D₇	—	8	1	no	—
991	C₂²⋊D₇	—	8	1	no	—
992	C₂²⋊D₇	—	8	1	no	—
993	C₂²⋊D₇	—	8	1	no	—
994	C₂×Dic₇	—	2	1	no	—
995	C₂×Dic₇	—	2	1	no	—
996	C₂×Dic₇	—	2	1	no	—
997	C₂×Dic₇	—	2	1	no	—
998	C₂×Dic₇	—	2	1	no	—
999	D₂₈	—	2	1	no	—
1000	D₂₈	—	2	1	no	—
1001	D₂₈	—	2	1	no	—
1002	D₂₈	—	2	1	no	—
1003	D₂₈	—	2	1	no	—
1004	D₂₈	—	4	2	no	—
1005	D₂₈	—	4	2	no	—
1006	D₂₈	—	4	2	no	—
1007	D₂₈	—	8	1	no	—
1008	D₂₈	H(5,𝔽₂)	1	2	yes	—
1009	C₄×D₇	—	4	2	no	—
1010	C₄×D₇	—	4	2	no	—
1011	C₄×D₇	—	8	1	no	—
1012	C₄×D₇	—	8	1	no	—
1013	C₄×D₇	—	8	1	no	—
1014	C₄×D₇	—	8	1	no	—
1015	C₄×D₇	—	8	1	no	—
1016	C₄×D₇	—	8	1	no	—
1017	C₄×D₇	—	8	1	no	—
1018	Dic₁₄	—	2	1	no	—
1019	Dic₁₄	—	2	1	no	—
1020	Dic₁₄	—	4	2	no	—
1021	Dic₁₄	—	8	1	no	—
1022	Dic₁₄	—	8	1	no	—
1023	C₇⋊C₈	—	2	1	no	—
1024	C₇⋊C₈	—	2	1	no	—
1025	C₇⋊C₈	—	2	1	no	—
1026	C₇⋊C₈	—	2	1	no	—
1027	C₇⋊C₈	—	2	1	no	—
1028	C₇⋊C₈	—	2	1	no	—
1029	C₇⋊C₈	—	2	1	no	—
1030	C₇⋊C₈	—	2	1	no	—
1031	C₂×#41	—	7	1	no	—
1032	C₂×#41	—	14	1	no	—
1033	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1034	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1035	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1036	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1037	C₂²×Q₈	—	14	1	no	—
1038	C₂²×Q₈	C₂²×D₇	1	1	yes	characteristic
1039	C₂²×D₄	—	7	1	no	—
1040	C₂²×D₄	—	7	1	no	—
1041	C₂²×D₄	—	14	1	no	—
1042	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1043	AGL(1,ℤ/8)	—	28	2	no	—
1044	AGL(1,ℤ/8)	—	28	2	no	—
1045	#135	—	28	2	no	—
1046	#135	—	28	2	no	—
1047	C₂×Q₁₆	—	7	1	no	—
1048	C₂×Q₁₆	—	7	1	no	—
1049	C₂×Q₁₆	—	7	1	no	—
1050	C₂×SD₁₆	—	7	1	no	—
1051	C₂×SD₁₆	—	7	1	no	—
1052	C₂×SD₁₆	—	7	1	no	—
1053	C₂×SD₁₆	—	7	1	no	—
1054	C₂×SD₁₆	—	7	1	no	—
1055	C₂×SD₁₆	—	7	1	no	—
1056	C₂×SD₁₆	—	7	1	no	—
1057	C₂×SD₁₆	—	7	1	no	—
1058	C₂×SD₁₆	—	7	1	no	—
1059	C₂×SD₁₆	—	7	1	no	—
1060	C₂×SD₁₆	—	7	1	no	—
1061	C₂×SD₁₆	—	7	1	no	—
1062	C₂×SD₁₆	—	28	2	no	—
1063	C₂×D₈	—	7	1	no	—
1064	C₂×D₈	—	7	1	no	—
1065	C₂×D₈	—	7	1	no	—
1066	C₂×D₈	—	7	1	no	—
1067	C₂×D₈	—	7	1	no	—
1068	C₂×D₈	—	7	1	no	—
1069	C₂×D₈	—	7	1	no	—
1070	C₂×D₈	—	7	1	no	—
1071	C₂×D₈	—	7	1	no	—
1072	C₂×D₈	—	28	2	no	—
1073	C₂×M₁₆	—	7	1	no	—
1074	C₂×M₁₆	—	7	1	no	—
1075	C₂²×C₈	—	7	1	no	—
1076	C₂²×C₈	—	7	1	no	—
1077	C₂²×C₈	—	7	1	no	—
1078	C₂²×C₈	—	7	1	no	—
1079	C₄⋊Q₈	—	7	1	no	—
1080	C₄⋊Q₈	—	7	1	no	—
1081	C₄⋊Q₈	—	7	1	no	—
1082	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1083	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1084	#127	—	2	1	no	—
1085	#127	—	7	1	no	—
1086	#127	C₂²×D₇	1	1	yes	characteristic
1087	#127	C₂²×D₇	1	1	yes	characteristic
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	14	1	no	—
1094	#126	—	14	1	no	—
1095	#126	—	14	1	no	—
1096	#126	—	14	1	no	—
1097	#126	C₂²⋊D₇	1	1	yes	characteristic
1098	#126	C₂²⋊D₇	1	1	yes	characteristic
1099	#125	—	2	1	no	—
1100	#125	—	2	1	no	—
1101	#125	C₂²⋊D₇	1	1	yes	characteristic
1102	#125	C₂²×D₇	1	1	yes	characteristic
1103	#124	—	2	1	no	—
1104	#124	—	2	1	no	—
1105	#124	—	2	1	no	—
1106	#124	—	7	1	no	—
1107	#124	—	7	1	no	—
1108	#124	—	14	1	no	—
1109	#124	—	14	1	no	—
1110	#124	—	14	1	no	—
1111	#124	—	14	1	no	—
1112	#124	—	14	1	no	—
1113	#124	—	14	1	no	—
1114	#124	—	14	1	no	—
1115	#124	—	14	1	no	—
1116	#124	—	14	1	no	—
1117	#124	C₂²⋊D₇	1	1	yes	characteristic
1118	#124	C₂²×D₇	1	1	yes	characteristic
1119	#124	C₂²×D₇	1	1	yes	characteristic
1120	#124	C₂²×D₇	1	1	yes	characteristic
1121	#124	C₂²×D₇	1	1	yes	characteristic
1122	#124	C₂²×D₇	1	1	yes	characteristic
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	14	1	no	—
1135	#123	—	14	1	no	—
1136	#123	—	14	1	no	—
1137	#123	—	14	1	no	—
1138	#123	—	14	1	no	—
1139	#123	—	14	1	no	—
1140	#123	C₂²⋊D₇	1	1	yes	characteristic
1141	#123	C₂²⋊D₇	1	1	yes	characteristic
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	7	1	no	—
1148	C₂²⋊Q₈	—	7	1	no	—
1149	C₂²⋊Q₈	—	14	1	no	—
1150	C₂²⋊Q₈	—	14	1	no	—
1151	C₂²⋊Q₈	—	14	1	no	—
1152	C₂²⋊Q₈	—	14	1	no	—
1153	C₂²⋊Q₈	—	14	1	no	—
1154	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1155	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1156	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1157	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1158	#121	—	2	1	no	—
1159	#121	—	2	1	no	—
1160	#121	—	2	1	no	—
1161	#121	—	2	1	no	—
1162	#121	—	2	1	no	—
1163	#121	—	2	1	no	—
1164	#121	—	2	1	no	—
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	7	1	no	—
1172	#121	—	7	1	no	—
1173	#121	—	7	1	no	—
1174	#121	—	7	1	no	—
1175	#121	—	14	1	no	—
1176	#121	—	14	1	no	—
1177	#121	—	14	1	no	—
1178	#121	—	14	1	no	—
1179	#121	—	14	1	no	—
1180	#121	—	14	1	no	—
1181	#121	C₂²⋊D₇	1	1	yes	characteristic
1182	#121	C₂²×D₇	1	1	yes	characteristic
1183	#121	C₂²×D₇	1	1	yes	characteristic
1184	#121	C₂²×D₇	1	1	yes	characteristic
1185	#120	—	2	1	no	—
1186	#120	—	2	1	no	—
1187	#120	—	2	1	no	—
1188	#120	—	2	1	no	—
1189	#120	—	14	1	no	—
1190	#120	—	14	1	no	—
1191	#120	—	14	1	no	—
1192	#120	—	14	1	no	—
1193	C₄×Q₈	—	7	1	no	—
1194	C₄×Q₈	—	7	1	no	—
1195	C₄×Q₈	—	14	1	no	—
1196	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1197	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1198	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1199	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	2	1	no	—
1203	C₄×D₄	—	2	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	2	1	no	—
1206	C₄×D₄	—	2	1	no	—
1207	C₄×D₄	—	7	1	no	—
1208	C₄×D₄	—	7	1	no	—
1209	C₄×D₄	—	7	1	no	—
1210	C₄×D₄	—	7	1	no	—
1211	C₄×D₄	—	7	1	no	—
1212	C₄×D₄	—	7	1	no	—
1213	C₄×D₄	—	7	1	no	—
1214	C₄×D₄	—	7	1	no	—
1215	C₄×D₄	—	14	1	no	—
1216	C₄×D₄	—	14	1	no	—
1217	C₄×D₄	—	14	1	no	—
1218	C₄×D₄	—	14	1	no	—
1219	C₄×D₄	—	14	1	no	—
1220	C₄×D₄	—	14	1	no	—
1221	C₄×D₄	—	14	1	no	—
1222	C₄×D₄	—	14	1	no	—
1223	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1224	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1226	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1227	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1228	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1229	#117	—	2	1	no	—
1230	#117	—	2	1	no	—
1231	#117	—	7	1	no	—
1232	#117	—	7	1	no	—
1233	#117	—	7	1	no	—
1234	#117	—	14	1	no	—
1235	#117	—	14	1	no	—
1236	#117	—	14	1	no	—
1237	#117	C₂²×D₇	1	1	yes	characteristic
1238	#117	C₂²×D₇	1	1	yes	characteristic
1239	C₂×C₄⋊C₄	—	2	1	no	—
1240	C₂×C₂²⋊C₄	—	2	1	no	—
1241	C₂×C₂²⋊C₄	—	2	1	no	—
1242	C₂×C₂²⋊C₄	—	14	1	no	—
1243	C₂×C₂²⋊C₄	—	14	1	no	—
1244	C₂×C₂²⋊C₄	—	14	1	no	—
1245	C₂×C₂²⋊C₄	—	14	1	no	—
1246	C₂×C₂²⋊C₄	—	14	1	no	—
1247	C₂×C₂²⋊C₄	—	14	1	no	—
1248	C₂×C₄²	—	14	1	no	—
1249	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1250	#107	—	7	1	no	—
1251	#107	—	7	1	no	—
1252	#107	—	7	1	no	—
1253	#107	—	7	1	no	—
1254	#106	—	7	1	no	—
1255	#106	—	7	1	no	—
1256	#106	—	7	1	no	—
1257	#106	—	7	1	no	—
1258	C₄⋊C₈	—	7	1	no	—
1259	C₄⋊C₈	—	7	1	no	—
1260	C₄⋊C₈	—	7	1	no	—
1261	C₄⋊C₈	—	7	1	no	—
1262	C₄⋊C₈	—	7	1	no	—
1263	C₄⋊C₈	—	7	1	no	—
1264	C₄⋊C₈	—	7	1	no	—
1265	C₄⋊C₈	—	7	1	no	—
1266	C₄⋊C₈	—	7	1	no	—
1267	C₄⋊C₈	—	7	1	no	—
1268	#103	—	7	1	no	—
1269	#103	—	7	1	no	—
1270	#103	—	7	1	no	—
1271	#103	—	7	1	no	—
1272	#103	—	7	1	no	—
1273	#103	—	7	1	no	—
1274	#103	—	7	1	no	—
1275	#103	—	7	1	no	—
1276	#103	—	7	1	no	—
1277	#103	—	7	1	no	—
1278	#103	—	7	1	no	—
1279	#103	—	7	1	no	—
1280	#103	—	7	1	no	—
1281	#103	—	7	1	no	—
1282	#102	—	7	1	no	—
1283	#102	—	7	1	no	—
1284	#102	—	7	1	no	—
1285	#102	—	7	1	no	—
1286	#102	—	7	1	no	—
1287	#102	—	7	1	no	—
1288	#102	—	7	1	no	—
1289	#102	—	7	1	no	—
1290	#102	—	7	1	no	—
1291	#102	—	7	1	no	—
1292	#102	—	7	1	no	—
1293	#102	—	7	1	no	—
1294	#102	—	7	1	no	—
1295	#102	—	7	1	no	—
1296	#102	—	7	1	no	—
1297	#102	—	7	1	no	—
1298	#102	—	7	1	no	—
1299	#102	—	7	1	no	—
1300	C₂²⋊C₈	—	7	1	no	—
1301	C₂²⋊C₈	—	7	1	no	—
1302	C₂²⋊C₈	—	7	1	no	—
1303	C₂²⋊C₈	—	7	1	no	—
1304	C₂²⋊C₈	—	7	1	no	—
1305	C₂²⋊C₈	—	7	1	no	—
1306	#97	—	7	1	no	—
1307	#97	—	7	1	no	—
1308	#97	—	7	1	no	—
1309	#97	—	7	1	no	—
1310	C₄×C₈	—	7	1	no	—
1311	C₄×C₈	—	7	1	no	—
1312	C₂²×C₇	—	2	1	no	—
1313	C₂²×C₇	—	2	1	no	—
1314	C₂²×C₇	—	2	1	no	—
1315	C₂²×C₇	—	2	1	no	—
1316	C₂²×C₇	—	2	1	no	—
1317	C₂²×C₇	—	2	1	no	—
1318	C₂²×C₇	—	2	1	no	—
1319	C₂²×C₇	—	2	1	no	—
1320	C₂²×C₇	—	2	1	no	—
1321	C₂²×C₇	—	4	1	no	—
1322	C₂²×C₇	—	4	1	no	—
1323	C₂²×C₇	—	4	1	no	—
1324	C₂²×C₇	—	4	1	no	—
1325	C₂²×C₇	—	4	1	no	—
1326	C₂²×C₇	—	4	1	no	—
1327	C₂²×C₇	—	4	1	no	—
1328	C₂²×C₇	—	4	1	no	—
1329	C₂²×C₇	—	4	1	no	—
1330	C₂²×C₇	—	16	2	no	—
1331	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1332	C₂×D₇	—	2	2	no	—
1333	C₂×D₇	—	4	1	no	—
1334	C₂×D₇	—	4	1	no	—
1335	C₂×D₇	—	4	1	no	—
1336	C₂×D₇	—	4	1	no	—
1337	C₂×D₇	—	4	1	no	—
1338	C₂×D₇	—	4	1	no	—
1339	C₂×D₇	—	4	1	no	—
1340	C₂×D₇	—	4	1	no	—
1341	C₂×D₇	—	16	2	no	—
1342	C₂×D₇	—	16	2	no	—
1343	C₄×C₇	—	2	1	no	—
1344	C₄×C₇	—	2	1	no	—
1345	C₄×C₇	—	2	1	no	—
1346	C₄×C₇	—	2	1	no	—
1347	C₄×C₇	—	2	1	no	—
1348	C₄×C₇	—	2	1	no	—
1349	C₄×C₇	—	2	1	no	—
1350	C₄×C₇	—	2	1	no	—
1351	C₄×C₇	—	2	1	no	—
1352	C₄×C₇	—	2	1	no	—
1353	C₄×C₇	—	2	1	no	—
1354	C₄×C₇	—	4	1	no	—
1355	C₄×C₇	—	4	1	no	—
1356	C₄×C₇	—	4	1	no	—
1357	C₄×C₇	—	4	1	no	—
1358	C₄×C₇	—	4	1	no	—
1359	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1360	C₄×C₇	#585	1	1	yes	characteristic
1361	Dic₇	—	4	1	no	—
1362	Dic₇	—	4	1	no	—
1363	Dic₇	—	4	1	no	—
1364	Dic₇	—	4	1	no	—
1365	Dic₇	—	4	1	no	—
1366	C₂⁴	—	2	1	no	—
1367	C₂⁴	—	14	1	no	—
1368	C₂⁴	—	14	1	no	—
1369	#41	—	4	1	no	—
1370	#41	—	4	1	no	—
1371	#41	—	4	1	no	—
1372	#41	—	4	1	no	—
1373	#41	—	4	1	no	—
1374	#41	—	4	1	no	—
1375	#41	—	4	1	no	—
1376	#41	—	4	1	no	—
1377	#41	—	14	2	no	—
1378	#41	—	28	1	no	—
1379	#41	—	56	2	no	—
1380	C₂×Q₈	—	2	1	no	—
1381	C₂×Q₈	—	4	1	no	—
1382	C₂×Q₈	—	4	1	no	—
1383	C₂×Q₈	—	7	1	no	—
1384	C₂×Q₈	—	14	1	no	—
1385	C₂×Q₈	—	14	1	no	—
1386	C₂×Q₈	—	14	1	no	—
1387	C₂×Q₈	—	56	2	no	—
1388	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1389	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1390	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1391	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1392	C₂×D₄	—	2	1	no	—
1393	C₂×D₄	—	2	1	no	—
1394	C₂×D₄	—	2	1	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	2	1	no	—
1398	C₂×D₄	—	2	1	no	—
1399	C₂×D₄	—	2	1	no	—
1400	C₂×D₄	—	2	1	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	2	1	no	—
1404	C₂×D₄	—	4	1	no	—
1405	C₂×D₄	—	4	1	no	—
1406	C₂×D₄	—	7	1	no	—
1407	C₂×D₄	—	7	1	no	—
1408	C₂×D₄	—	7	1	no	—
1409	C₂×D₄	—	14	2	no	—
1410	C₂×D₄	—	14	2	no	—
1411	C₂×D₄	—	14	1	no	—
1412	C₂×D₄	—	14	1	no	—
1413	C₂×D₄	—	14	1	no	—
1414	C₂×D₄	—	14	1	no	—
1415	C₂×D₄	—	14	1	no	—
1416	C₂×D₄	—	14	1	no	—
1417	C₂×D₄	—	14	1	no	—
1418	C₂×D₄	—	14	1	no	—
1419	C₂×D₄	—	14	1	no	—
1420	C₂×D₄	—	28	1	no	—
1421	C₂×D₄	—	28	1	no	—
1422	C₂×D₄	—	56	2	no	—
1423	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1424	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1425	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1426	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1427	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1428	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	14	1	no	—
1438	C₂²×C₄	—	14	1	no	—
1439	C₂²×C₄	—	14	1	no	—
1440	C₂²×C₄	—	14	1	no	—
1441	C₂²×C₄	—	14	1	no	—
1442	C₂²×C₄	—	14	1	no	—
1443	C₂²×C₄	—	14	1	no	—
1444	C₂²×C₄	—	14	1	no	—
1445	C₂²×C₄	—	14	1	no	—
1446	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1447	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1448	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1449	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1450	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1451	Q₁₆	—	28	1	no	—
1452	Q₁₆	—	28	1	no	—
1453	Q₁₆	—	28	1	no	—
1454	SD₁₆	—	14	2	no	—
1455	SD₁₆	—	14	2	no	—
1456	SD₁₆	—	14	2	no	—
1457	SD₁₆	—	28	1	no	—
1458	SD₁₆	—	28	1	no	—
1459	SD₁₆	—	28	1	no	—
1460	SD₁₆	—	28	1	no	—
1461	SD₁₆	—	28	1	no	—
1462	SD₁₆	—	28	1	no	—
1463	SD₁₆	—	28	1	no	—
1464	SD₁₆	—	28	1	no	—
1465	SD₁₆	—	28	1	no	—
1466	D₈	—	14	2	no	—
1467	D₈	—	14	2	no	—
1468	D₈	—	14	2	no	—
1469	D₈	—	28	1	no	—
1470	D₈	—	28	1	no	—
1471	D₈	—	28	1	no	—
1472	D₈	—	28	1	no	—
1473	D₈	—	28	1	no	—
1474	D₈	—	28	1	no	—
1475	M₁₆	—	28	1	no	—
1476	M₁₆	—	28	1	no	—
1477	C₂×C₈	—	7	1	no	—
1478	C₂×C₈	—	7	1	no	—
1479	C₂×C₈	—	7	1	no	—
1480	C₂×C₈	—	7	1	no	—
1481	C₂×C₈	—	7	1	no	—
1482	C₂×C₈	—	7	1	no	—
1483	C₂×C₈	—	7	1	no	—
1484	C₂×C₈	—	7	1	no	—
1485	C₂×C₈	—	28	1	no	—
1486	C₂×C₈	—	28	1	no	—
1487	C₂×C₈	—	28	1	no	—
1488	C₂×C₈	—	28	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	2	1	no	—
1494	C₄⋊C₄	—	2	1	no	—
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	2	1	no	—
1500	C₄⋊C₄	—	2	1	no	—
1501	C₄⋊C₄	—	7	1	no	—
1502	C₄⋊C₄	—	7	1	no	—
1503	C₄⋊C₄	—	7	1	no	—
1504	C₄⋊C₄	—	7	1	no	—
1505	C₄⋊C₄	—	14	1	no	—
1506	C₄⋊C₄	—	14	1	no	—
1507	C₄⋊C₄	—	14	1	no	—
1508	C₄⋊C₄	—	14	1	no	—
1509	C₄⋊C₄	—	14	1	no	—
1510	C₄⋊C₄	—	14	1	no	—
1511	C₄⋊C₄	—	14	1	no	—
1512	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1513	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1514	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1515	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1516	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1517	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1518	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1519	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1520	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1521	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1522	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1523	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	14	1	no	—
1544	C₂²⋊C₄	—	14	1	no	—
1545	C₂²⋊C₄	—	14	1	no	—
1546	C₂²⋊C₄	—	14	1	no	—
1547	C₂²⋊C₄	—	14	1	no	—
1548	C₂²⋊C₄	—	14	1	no	—
1549	C₂²⋊C₄	—	14	1	no	—
1550	C₂²⋊C₄	—	14	1	no	—
1551	C₂²⋊C₄	—	14	1	no	—
1552	C₂²⋊C₄	—	14	1	no	—
1553	C₂²⋊C₄	—	14	1	no	—
1554	C₂²⋊C₄	—	14	1	no	—
1555	C₂²⋊C₄	—	14	1	no	—
1556	C₂²⋊C₄	—	14	1	no	—
1557	C₂²⋊C₄	—	14	1	no	—
1558	C₂²⋊C₄	—	14	1	no	—
1559	C₂²⋊C₄	—	14	1	no	—
1560	C₂²⋊C₄	—	14	1	no	—
1561	C₂²⋊C₄	—	14	1	no	—
1562	C₂²⋊C₄	—	14	1	no	—
1563	C₂²⋊C₄	—	14	1	no	—
1564	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1565	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1566	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1572	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1573	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1574	C₄²	—	2	1	no	—
1575	C₄²	—	2	1	no	—
1576	C₄²	—	2	1	no	—
1577	C₄²	—	14	1	no	—
1578	C₄²	—	14	1	no	—
1579	C₄²	—	14	1	no	—
1580	C₄²	—	14	1	no	—
1581	C₄²	—	14	1	no	—
1582	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1583	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1584	C₄²	C₂³×D₇	1	1	yes	characteristic
1585	C₄²	C₂³×D₇	1	1	yes	characteristic
1586	C₄²	C₂³×D₇	1	1	yes	characteristic
1587	C₄²	C₂³×D₇	1	1	yes	characteristic
1588	C₂×C₇	—	4	1	no	—
1589	C₂×C₇	—	4	1	no	—
1590	C₂×C₇	—	4	1	no	—
1591	C₂×C₇	—	8	1	no	—
1592	C₂×C₇	—	8	1	no	—
1593	C₂×C₇	—	8	1	no	—
1594	C₂×C₇	#3488	1	1	yes	characteristic
1595	C₂×C₇	#3584	1	1	yes	characteristic
1596	C₂×C₇	#3585	1	1	yes	characteristic
1597	D₇	—	4	2	no	—
1598	D₇	—	8	1	no	—
1599	D₇	—	8	1	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	8	1	no	—
1604	C₂³	—	8	1	no	—
1605	C₂³	—	8	1	no	—
1606	C₂³	—	14	1	no	—
1607	C₂³	—	14	1	no	—
1608	C₂³	—	14	1	no	—
1609	C₂³	—	28	2	no	—
1610	C₂³	—	28	2	no	—
1611	C₂³	—	56	1	no	—
1612	C₂³	—	56	1	no	—
1613	C₂³	—	56	1	no	—
1614	C₂³	—	56	1	no	—
1615	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1616	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1617	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1618	Q₈	—	2	1	no	—
1619	Q₈	—	2	1	no	—
1620	Q₈	—	2	1	no	—
1621	Q₈	—	2	1	no	—
1622	Q₈	—	2	1	no	—
1623	Q₈	—	2	1	no	—
1624	Q₈	—	4	1	no	—
1625	Q₈	—	8	1	no	—
1626	Q₈	—	14	1	no	—
1627	Q₈	—	14	1	no	—
1628	Q₈	—	28	2	no	—
1629	Q₈	—	56	1	no	—
1630	Q₈	—	56	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	2	1	no	—
1633	D₄	—	2	1	no	—
1634	D₄	—	2	1	no	—
1635	D₄	—	2	1	no	—
1636	D₄	—	2	1	no	—
1637	D₄	—	4	1	no	—
1638	D₄	—	4	1	no	—
1639	D₄	—	4	1	no	—
1640	D₄	—	7	2	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	14	1	no	—
1654	D₄	—	14	1	no	—
1655	D₄	—	14	1	no	—
1656	D₄	—	14	1	no	—
1657	D₄	—	14	1	no	—
1658	D₄	—	28	2	no	—
1659	D₄	—	28	2	no	—
1660	D₄	—	28	2	no	—
1661	D₄	—	28	2	no	—
1662	D₄	—	56	1	no	—
1663	D₄	—	56	1	no	—
1664	D₄	—	56	1	no	—
1665	D₄	—	56	1	no	—
1666	D₄	—	56	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	4	1	no	—
1679	C₂×C₄	—	4	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	14	1	no	—
1689	C₂×C₄	—	14	1	no	—
1690	C₂×C₄	—	14	1	no	—
1691	C₂×C₄	—	14	1	no	—
1692	C₂×C₄	—	14	1	no	—
1693	C₂×C₄	—	28	2	no	—
1694	C₂×C₄	—	28	2	no	—
1695	C₂×C₄	—	56	1	no	—
1696	C₂×C₄	—	56	1	no	—
1697	C₂×C₄	—	56	1	no	—
1698	C₂×C₄	—	56	1	no	—
1699	C₂×C₄	—	56	1	no	—
1700	C₂×C₄	—	56	1	no	—
1701	C₂×C₄	—	56	1	no	—
1702	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1703	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1704	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1705	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1706	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1707	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1708	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1709	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1710	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1711	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1712	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1713	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1714	C₈	—	14	1	no	—
1715	C₈	—	14	1	no	—
1716	C₈	—	14	1	no	—
1717	C₈	—	14	1	no	—
1718	C₈	—	14	1	no	—
1719	C₈	—	14	1	no	—
1720	C₈	—	14	1	no	—
1721	C₈	—	14	1	no	—
1722	C₇	#62011	1	1	yes	characteristic, complemented, Sylow
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	14	2	no	—
1742	C₂²	—	16	2	no	—
1743	C₂²	—	28	1	no	—
1744	C₂²	—	28	1	no	—
1745	C₂²	—	28	1	no	—
1746	C₂²	—	28	1	no	—
1747	C₂²	—	28	1	no	—
1748	C₂²	—	28	1	no	—
1749	C₂²	—	28	1	no	—
1750	C₂²	—	28	1	no	—
1751	C₂²	—	112	2	no	—
1752	C₂²	—	112	2	no	—
1753	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	2	1	no	—
1764	C₄	—	2	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	1	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	28	1	no	—
1771	C₄	—	28	1	no	—
1772	C₄	—	28	1	no	—
1773	C₄	—	28	1	no	—
1774	C₄	—	28	1	no	—
1775	C₄	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1776	C₄	#90618	1	1	yes	characteristic
1777	C₂	—	4	1	no	—
1778	C₂	—	4	1	no	—
1779	C₂	—	4	1	no	—
1780	C₂	—	8	1	no	—
1781	C₂	—	8	1	no	—
1782	C₂	—	8	1	no	—
1783	C₂	—	28	2	no	—
1784	C₂	—	56	1	no	—
1785	C₂	—	56	1	no	—
1786	C₂	#11744353	1	1	yes	characteristic
1787	C₂	#11744365	1	1	yes	characteristic
1788	C₂	#11744366	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3562	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3562	D₇
hypocenter	C₇	#62011
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3562

Complements

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

N	H ≅ G/N	type
1. C₇×#3562	C₂	semidirect
2. #11743231	C₂	semidirect
3. #11741161	C₂	semidirect
4. #11741160	C₂	semidirect
5. #11741117	C₂	semidirect
6. #11741113	C₂	semidirect
7. #11741022	C₂	semidirect
8. #11741016	C₂	semidirect
9. #11740990	C₂	semidirect
10. #11740987	C₂	semidirect
11. #11740984	C₂	semidirect
12. #11740982	C₂	semidirect
13. #11740967	C₂	semidirect
14. #11740956	C₂	semidirect
15. #11740950	C₂	semidirect
16. #11740947	C₂	semidirect
17. #11740944	C₂	semidirect
18. #11740942	C₂	semidirect
19. #11740894	C₂	semidirect
20. #11740892	C₂	semidirect
21. #11740882	C₂	semidirect
22. #11740880	C₂	semidirect
23. #11740855	C₂	semidirect
24. #11740850	C₂	semidirect
25. #11740834	C₂	semidirect
26. #11740829	C₂	semidirect
27. #11740752	C₂	semidirect
28. #11740741	C₂	semidirect
29. #11740593	C₂	semidirect
30. #11740587	C₂	semidirect
31. #11740575	C₂	semidirect
34. C₇×#559	C₂²	semidirect
35. C₇×#556	C₂²	semidirect
38. C₇×#550	C₂²	semidirect
40. C₇×#548	C₂²	semidirect
41. C₇×#547	C₂²	semidirect
43. C₇×#546	C₂²	semidirect
44. C₇×#541	C₂²	semidirect
46. C₇×#540	C₂²	semidirect
50. C₇×#536	C₂²	semidirect
51. C₇×#535	C₂²	semidirect
52. C₇×#532	C₂²	semidirect
54. C₇×#529	C₂²	semidirect
56. C₂×#6513	C₂²	semidirect
59. C₂²×#1143	C₂²	semidirect
69. #90276	C₂²	semidirect
70. Q₈×D₂₈	C₂²	semidirect
72. #90254	C₂²	semidirect
74. #90241	C₂²	semidirect
78. #90225	C₂²	semidirect
80. #90212	C₂²	semidirect
81. #90168	C₂²	semidirect
82. C₄×#1157	C₂²	semidirect
83. #90011	C₂²	semidirect
84. #90011	C₂²	semidirect
87. #90010	C₂²	semidirect
88. #90010	C₂²	semidirect
89. #90010	C₂²	semidirect
90. #90010	C₂²	semidirect
91. #90005	C₂²	semidirect
92. #90005	C₂²	semidirect
93. #90005	C₂²	semidirect
94. #90005	C₂²	semidirect
95. #90000	C₂²	semidirect
96. #89999	C₂²	semidirect
97. #89997	C₂²	semidirect
98. #89990	C₂²	semidirect
100. #89987	C₂²	semidirect
101. #89862	C₂²	semidirect
102. #89858	C₂²	semidirect
103. #89855	C₂²	semidirect
104. #89855	C₂²	semidirect
105. #89855	C₂²	semidirect
106. #89855	C₂²	semidirect
107. #89855	C₂²	semidirect
108. #89853	C₂²	semidirect
109. #89847	C₂²	semidirect
110. #89846	C₂²	semidirect
113. #89844	C₂²	semidirect
114. #89844	C₂²	semidirect
115. #89844	C₂²	semidirect
116. #89842	C₂²	semidirect
117. #89838	C₂²	semidirect
118. #89838	C₂²	semidirect
119. #89838	C₂²	semidirect
120. #89835	C₂²	semidirect
121. #89831	C₂²	semidirect
122. #89831	C₂²	semidirect
124. #89830	C₂²	semidirect
129. #89829	C₂²	semidirect
130. #89829	C₂²	semidirect
131. #89829	C₂²	semidirect
132. #89829	C₂²	semidirect
133. #89829	C₂²	semidirect
134. #89827	C₂²	semidirect
135. #89827	C₂²	semidirect
136. #89827	C₂²	semidirect
137. #89827	C₂²	semidirect
138. #89826	C₂²	semidirect
139. #89826	C₂²	semidirect
140. #89826	C₂²	semidirect
141. #89824	C₂²	semidirect
142. #89823	C₂²	semidirect
145. #89820	C₂²	semidirect
146. #89820	C₂²	semidirect
147. #89819	C₂²	semidirect
150. #89817	C₂²	semidirect
151. #89817	C₂²	semidirect
152. #89817	C₂²	semidirect
153. #89814	C₂²	semidirect
154. #89813	C₂²	semidirect
156. #89810	C₂²	semidirect
157. #89810	C₂²	semidirect
158. #89810	C₂²	semidirect
161. #89808	C₂²	semidirect
162. #89807	C₂²	semidirect
163. #89807	C₂²	semidirect
164. #89807	C₂²	semidirect
165. #89802	C₂²	semidirect
166. #89800	C₂²	semidirect
167. #89800	C₂²	semidirect
168. #89799	C₂²	semidirect
169. #89798	C₂²	semidirect
170. #89798	C₂²	semidirect
171. #89798	C₂²	semidirect
172. C₄×#1143	C₂²	semidirect
173. C₄×#1143	C₂²	semidirect
174. #89796	C₂²	semidirect
175. #89796	C₂²	semidirect
176. #89793	C₂²	semidirect
177. #89793	C₂²	semidirect
178. #89792	C₂²	semidirect
179. #89790	C₂²	semidirect
180. #89788	C₂²	semidirect
181. #89788	C₂²	semidirect
184. #89786	C₂²	semidirect
185. #89786	C₂²	semidirect
187. C₄×#1141	C₂²	semidirect
190. #89783	C₂²	semidirect
191. #89783	C₂²	semidirect
192. D₄×C₇⋊C₈	C₂²	semidirect
193. D₄×C₇⋊C₈	C₂²	semidirect
194. #89780	C₂²	semidirect
195. #89780	C₂²	semidirect
196. #89779	C₂²	semidirect
197. #89772	C₂²	semidirect
198. #89772	C₂²	semidirect
199. #89771	C₂²	semidirect
200. #89771	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
485. #3562	D₇	semidirect
747. #559	C₂×D₇	semidirect
749. #556	C₂×D₇	semidirect
756. #550	C₂×D₇	semidirect
760. #548	C₂×D₇	semidirect
761. #547	C₂×D₇	semidirect
766. #546	C₂×D₇	semidirect
770. #541	C₂×D₇	semidirect
772. #540	C₂×D₇	semidirect
778. #536	C₂×D₇	semidirect
779. #535	C₂×D₇	semidirect
781. #532	C₂×D₇	semidirect
784. #529	C₂×D₇	semidirect
1722. C₇	#62011	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3562	2
#11743231	2
#11741161	2
#11741160	2
#11741117	2
#11741113	2
#11741022	2
#11741016	2
#11740990	2
#11740987	2
#11740984	2
#11740982	2
#11740967	2
#11740956	2
#11740950	2
#11740947	2
#11740944	2
#11740942	2
#11740894	2
#11740892	2
#11740882	2
#11740880	2
#11740855	2
#11740850	2
#11740834	2
#11740829	2
#11740752	2
#11740741	2
#11740593	2
#11740587	2
#11740575	2
#62011	7