Subgroups — #14236167

Order 1792.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3513	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743229	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741165	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741159	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741084	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741073	C₂	1	1	yes	maximal, characteristic, complemented
7	#11741062	C₂	1	1	yes	maximal, characteristic, complemented
8	#11741052	C₂	1	1	yes	maximal, characteristic, complemented
9	#11741044	C₂	1	1	yes	maximal, characteristic, complemented
10	#11741035	C₂	1	1	yes	maximal, characteristic, complemented
11	#11740971	C₂	1	1	yes	maximal, characteristic, complemented
12	#11740961	C₂	1	1	yes	maximal, characteristic, complemented
13	#11740950	C₂	1	1	yes	maximal, characteristic, complemented
14	#11740950	C₂	1	1	yes	maximal, characteristic, complemented
15	#11740945	C₂	1	1	yes	maximal, characteristic, complemented
16	#11740941	C₂	1	1	yes	maximal, characteristic, complemented
17	D₄×#1141	C₂	1	1	yes	maximal, characteristic, complemented
18	#11740929	C₂	1	1	yes	maximal, characteristic, complemented
19	#11740905	C₂	1	1	yes	maximal, characteristic, complemented
20	#11740902	C₂	1	1	yes	maximal, characteristic, complemented
21	#11740879	C₂	1	1	yes	maximal, characteristic, complemented
22	#11740877	C₂	1	1	yes	maximal, characteristic, complemented
23	#11740588	C₂	1	1	yes	maximal, characteristic, complemented
24	#11740579	C₂	1	1	yes	maximal, characteristic, complemented
25	#11740571	C₂	1	1	yes	maximal, characteristic, complemented
26	#11740013	C₂	1	1	yes	maximal, characteristic, complemented
27	#11740002	C₂	1	1	yes	maximal, characteristic, complemented
28	#11739986	C₂	1	1	yes	maximal, characteristic, complemented
29	#11739983	C₂	1	1	yes	maximal, characteristic, complemented
30	#11739756	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×#1141	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#559	C₂²	1	1	yes	characteristic, complemented
33	C₇×#554	C₂²	1	1	yes	characteristic, complemented
34	C₇×#553	—	2	1	no	—
35	C₇×#553	C₂²	1	1	yes	characteristic, complemented
36	C₇×#552	C₂²	1	1	yes	characteristic
37	C₇×#551	—	2	1	no	—
38	C₇×#551	—	2	1	no	—
39	C₇×#547	C₂²	1	1	yes	characteristic, complemented
40	C₇×#546	—	2	1	no	—
41	C₇×#546	C₂²	1	1	yes	characteristic, complemented
42	C₇×#546	C₂²	1	1	yes	characteristic, complemented
43	C₇×D₄²	C₂²	1	1	yes	characteristic
44	C₇×#542	C₂²	1	1	yes	characteristic, complemented
45	C₇×#540	C₂²	1	1	yes	characteristic, complemented
46	C₇×#539	—	2	1	no	—
47	C₇×#538	—	2	1	no	—
48	C₇×#529	C₂²	1	1	yes	characteristic
49	C₇×#529	C₂²	1	1	yes	characteristic, complemented
50	C₇×#525	—	2	1	no	—
51	C₂×C₇×#123	—	2	1	no	—
52	C₇×#520	C₂²	1	1	yes	characteristic, complemented
53	C₇×#518	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic, complemented
55	C₂×#6513	C₂²	1	1	yes	characteristic
56	C₂²×#1141	C₂²	1	1	yes	characteristic
57	C₂²×#1141	C₂²	1	1	yes	characteristic
58	#90400	—	2	1	no	—
59	#90396	—	2	1	no	—
60	#90383	—	2	1	no	—
61	#90369	—	2	1	no	—
62	#90347	—	2	1	no	—
63	D₇×#123	—	2	1	no	—
64	#90328	—	2	1	no	—
65	#90301	—	2	1	no	—
66	#90276	C₂²	1	1	yes	characteristic, complemented
67	#90270	C₂²	1	1	yes	characteristic, complemented
68	#90256	C₂²	1	1	yes	characteristic, complemented
69	#90246	C₂²	1	1	yes	characteristic, complemented
70	#90241	C₂²	1	1	yes	characteristic, complemented
71	#90241	C₂²	1	1	yes	characteristic, complemented
72	D₄×D₂₈	C₂²	1	1	yes	characteristic
73	#90232	C₂²	1	1	yes	characteristic
74	#90226	C₂²	1	1	yes	characteristic, complemented
75	#90225	C₂²	1	1	yes	characteristic, complemented
76	#90214	C₂²	1	1	yes	characteristic, complemented
77	#90212	C₂²	1	1	yes	characteristic, complemented
78	#90170	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic, complemented
80	#90010	C₂²	1	1	yes	characteristic, complemented
81	#90010	C₂²	1	1	yes	characteristic, complemented
82	#90004	C₂²	1	1	yes	characteristic, complemented
83	#89990	C₂²	1	1	yes	characteristic, complemented
84	#89990	C₂²	1	1	yes	characteristic, complemented
85	#89989	C₂²	1	1	yes	characteristic
86	#89989	C₂²	1	1	yes	characteristic
87	#89987	C₂²	1	1	yes	characteristic, complemented
88	C₂×#6406	C₂²	1	1	yes	characteristic, complemented
89	#89861	C₂²	1	1	yes	characteristic, complemented
90	#89859	C₂²	1	1	yes	characteristic, complemented
91	#89856	C₂²	1	1	yes	characteristic, complemented
92	#89850	C₂²	1	1	yes	characteristic, complemented
93	#89847	C₂²	1	1	yes	characteristic, complemented
94	#89845	C₂²	1	1	yes	characteristic
95	#89844	C₂²	1	1	yes	characteristic
96	#89843	C₂²	1	1	yes	characteristic, complemented
97	#89840	C₂²	1	1	yes	characteristic, complemented
98	#89839	C₂²	1	1	yes	characteristic, complemented
99	#89838	C₂²	1	1	yes	characteristic, complemented
100	#89838	C₂²	1	1	yes	characteristic, complemented
101	#89838	C₂²	1	1	yes	characteristic, complemented
102	#89836	C₂²	1	1	yes	characteristic, complemented
103	#89836	C₂²	1	1	yes	characteristic, complemented
104	#89835	C₂²	1	1	yes	characteristic, complemented
105	#89831	C₂²	1	1	yes	characteristic, complemented
106	#89831	C₂²	1	1	yes	characteristic, complemented
107	#89829	C₂²	1	1	yes	characteristic, complemented
108	#89829	C₂²	1	1	yes	characteristic, complemented
109	#89829	C₂²	1	1	yes	characteristic, complemented
110	#89829	C₂²	1	1	yes	characteristic, complemented
111	#89828	C₂²	1	1	yes	characteristic, complemented
112	#89827	C₂²	1	1	yes	characteristic, complemented
113	#89823	C₂²	1	1	yes	characteristic, complemented
114	#89823	C₂²	1	1	yes	characteristic, complemented
115	#89821	C₂²	1	1	yes	characteristic, complemented
116	#89820	C₂²	1	1	yes	characteristic, complemented
117	#89818	C₂²	1	1	yes	characteristic, complemented
118	#89818	C₂²	1	1	yes	characteristic, complemented
119	#89817	C₂²	1	1	yes	characteristic, complemented
120	#89815	C₂²	1	1	yes	characteristic, complemented
121	#89814	C₂²	1	1	yes	characteristic, complemented
122	#89813	C₂²	1	1	yes	characteristic, complemented
123	#89811	C₂²	1	1	yes	characteristic, complemented
124	#89811	C₂²	1	1	yes	characteristic, complemented
125	#89810	C₂²	1	1	yes	characteristic
126	#89810	C₂²	1	1	yes	characteristic
127	#89810	C₂²	1	1	yes	characteristic, complemented
128	#89810	C₂²	1	1	yes	characteristic, complemented
129	#89809	C₂²	1	1	yes	characteristic, complemented
130	#89809	C₂²	1	1	yes	characteristic, complemented
131	#89808	C₂²	1	1	yes	characteristic
132	#89808	C₂²	1	1	yes	characteristic
133	#89807	C₂²	1	1	yes	characteristic, complemented
134	#89806	C₂²	1	1	yes	characteristic, complemented
135	#89805	C₂²	1	1	yes	characteristic, complemented
136	#89805	C₂²	1	1	yes	characteristic, complemented
137	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
138	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
139	#89799	C₂²	1	1	yes	characteristic, complemented
140	#89798	C₂²	1	1	yes	characteristic, complemented
141	#89798	C₂²	1	1	yes	characteristic, complemented
142	#89798	C₂²	1	1	yes	characteristic, complemented
143	C₄×#1143	C₂²	1	1	yes	characteristic, complemented
144	#89796	C₂²	1	1	yes	characteristic, complemented
145	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
146	#89794	C₂²	1	1	yes	characteristic, complemented
147	#89790	C₂²	1	1	yes	characteristic, complemented
148	#89790	C₂²	1	1	yes	characteristic, complemented
149	#89790	C₂²	1	1	yes	characteristic, complemented
150	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
151	#89788	C₂²	1	1	yes	characteristic, complemented
152	#89788	C₂²	1	1	yes	characteristic, complemented
153	#89788	C₂²	1	1	yes	characteristic, complemented
154	#89788	C₂²	1	1	yes	characteristic, complemented
155	#89787	C₂²	1	1	yes	characteristic
156	#89786	C₂²	1	1	yes	characteristic, complemented
157	#89786	C₂²	1	1	yes	characteristic, complemented
158	#89786	C₂²	1	1	yes	characteristic, complemented
159	#89786	C₂²	1	1	yes	characteristic, complemented
160	#89786	C₂²	1	1	yes	characteristic, complemented
161	#89786	C₂²	1	1	yes	characteristic, complemented
162	C₄×#1141	C₂²	1	1	yes	characteristic
163	C₄×#1141	C₂²	1	1	yes	characteristic
164	C₄×#1141	C₂²	1	1	yes	characteristic
165	C₄×#1141	C₂²	1	1	yes	characteristic
166	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
167	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
168	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
169	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
170	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
171	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
172	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
173	C₄×#1141	C₂²	1	1	yes	characteristic, complemented
174	#89784	C₂²	1	1	yes	characteristic, complemented
175	#89783	C₂²	1	1	yes	characteristic
176	#89783	C₂²	1	1	yes	characteristic, complemented
177	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
178	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	#89781	C₂²	1	1	yes	characteristic, complemented
181	#89781	C₂²	1	1	yes	characteristic, complemented
182	#89781	C₂²	1	1	yes	characteristic, complemented
183	#89780	C₂²	1	1	yes	characteristic, complemented
184	#89779	C₂²	1	1	yes	characteristic, complemented
185	#89775	C₂²	1	1	yes	characteristic, complemented
186	#89773	C₂²	1	1	yes	characteristic, complemented
187	#89772	C₂²	1	1	yes	characteristic, complemented
188	#89772	C₂²	1	1	yes	characteristic, complemented
189	#89770	C₂²	1	1	yes	characteristic, complemented
190	#89769	C₂²	1	1	yes	characteristic, complemented
191	#89769	C₂²	1	1	yes	characteristic, complemented
192	#89768	C₂²	1	1	yes	characteristic, complemented
193	#89743	C₂²	1	1	yes	characteristic, complemented
194	#89740	C₂²	1	1	yes	characteristic, complemented
195	#89739	C₂²	1	1	yes	characteristic, complemented
196	#89739	C₂²	1	1	yes	characteristic, complemented
197	#89738	C₂²	1	1	yes	characteristic, complemented
198	C₂×#6383	C₂²	1	1	yes	characteristic, complemented
199	C₂×#6381	C₂²	1	1	yes	characteristic, complemented
200	C₂×#6381	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	#61471	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	—	2	1	no	—
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₇×D₄	—	2	1	no	—
207	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₇	—	2	1	no	—
210	C₂×#1159	—	2	1	no	—
211	C₂×D₄×D₇	—	2	1	no	—
212	C₂×#1157	C₂³	1	1	yes	characteristic
213	C₂²×D₂₈	C₂³	1	1	yes	characteristic
214	C₂²×D₂₈	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₇	—	2	1	no	—
216	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₇×#127	C₂³	1	1	yes	characteristic
218	C₇×#126	—	2	1	no	—
219	C₇×#126	—	2	1	no	—
220	C₇×#126	—	2	1	no	—
221	C₇×#126	—	2	1	no	—
222	C₇×#126	D₄	1	1	yes	characteristic
223	C₇×#126	D₄	1	1	yes	characteristic
224	C₇×#125	—	2	1	no	—
225	C₇×#125	D₄	1	1	yes	characteristic
226	C₇×#125	C₂³	1	1	yes	characteristic
227	C₇×#125	C₂³	1	1	yes	characteristic
228	C₇×#124	—	2	1	no	—
229	C₇×#124	—	2	1	no	—
230	C₇×#124	D₄	1	1	yes	characteristic
231	C₇×#124	C₂³	1	1	yes	characteristic
232	C₇×#124	C₂³	1	1	yes	characteristic
233	C₇×#123	—	2	1	no	—
234	C₇×#123	—	2	1	no	—
235	C₇×#123	—	2	1	no	—
236	C₇×#123	—	2	1	no	—
237	C₇×#123	—	2	1	no	—
238	C₇×#123	—	2	1	no	—
239	C₇×#123	—	2	1	no	—
240	C₇×#123	—	2	1	no	—
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	D₄	1	1	yes	characteristic
246	C₇×#123	D₄	1	1	yes	characteristic
247	C₇×C₂²⋊Q₈	—	2	1	no	—
248	C₇×C₂²⋊Q₈	—	2	1	no	—
249	C₇×C₂²⋊Q₈	—	2	1	no	—
250	C₇×C₂²⋊Q₈	—	2	1	no	—
251	C₇×C₂²⋊Q₈	—	2	1	no	—
252	C₇×C₂²⋊Q₈	D₄	1	1	yes	characteristic
253	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₇×#121	—	2	1	no	—
256	C₇×#121	—	2	1	no	—
257	C₇×#121	—	2	1	no	—
258	C₇×#121	—	2	1	no	—
259	C₇×#121	—	2	1	no	—
260	C₇×#121	—	2	1	no	—
261	C₇×#121	D₄	1	1	yes	characteristic
262	C₇×#121	C₂³	1	1	yes	characteristic
263	C₇×#121	C₂³	1	1	yes	characteristic
264	C₇×#121	C₂³	1	1	yes	characteristic
265	C₇×#121	C₂³	1	1	yes	characteristic
266	C₇×#120	—	2	1	no	—
267	C₇×#120	—	2	1	no	—
268	C₇×#120	—	2	1	no	—
269	C₇×#120	—	2	1	no	—
270	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
271	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
272	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
273	C₄×C₇×D₄	—	2	1	no	—
274	C₄×C₇×D₄	—	2	1	no	—
275	C₄×C₇×D₄	—	2	1	no	—
276	C₄×C₇×D₄	—	2	1	no	—
277	C₄×C₇×D₄	—	2	1	no	—
278	C₄×C₇×D₄	—	2	1	no	—
279	C₄×C₇×D₄	—	2	1	no	—
280	C₄×C₇×D₄	—	2	1	no	—
281	C₄×C₇×D₄	—	2	1	no	—
282	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
283	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
284	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
285	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
286	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
287	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
288	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
289	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
290	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
291	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
292	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
293	C₇×#117	—	2	1	no	—
294	C₇×#117	—	2	1	no	—
295	C₇×#117	—	2	1	no	—
296	C₇×#117	C₂³	1	1	yes	characteristic
297	C₇×#117	C₂³	1	1	yes	characteristic
298	C₇×#117	C₂³	1	1	yes	characteristic
299	C₂×C₇×C₄⋊C₄	—	2	1	no	—
300	C₂×C₇×C₄⋊C₄	—	2	1	no	—
301	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
304	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
305	C₂×C₇×C₂²⋊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	—	2	4	no	—
310	#6510	—	2	1	no	—
311	#6509	—	2	1	no	—
312	C₂×#1144	C₂³	1	1	yes	characteristic
313	C₂×#1143	C₂³	1	1	yes	characteristic
314	C₂×#1143	C₂³	1	1	yes	characteristic
315	C₂×#1143	C₂³	1	1	yes	characteristic
316	#6502	—	2	1	no	—
317	#6500	—	2	1	no	—
318	#6500	—	2	1	no	—
319	#6498	—	2	1	no	—
320	C₂×#1142	C₂³	1	1	yes	characteristic
321	C₂×#1142	C₂³	1	1	yes	characteristic
322	C₂×#1142	C₂³	1	1	yes	characteristic
323	C₂×#1141	—	2	4	no	—
324	C₂×#1141	—	2	4	no	—
325	C₂×#1141	C₂³	1	1	yes	characteristic
326	C₂×#1141	C₂³	1	1	yes	characteristic
327	C₂×#1141	C₂³	1	1	yes	characteristic
328	C₂×#1141	C₂³	1	1	yes	characteristic
329	C₂×#1141	C₂³	1	1	yes	characteristic
330	C₂×#1141	C₂³	1	1	yes	characteristic
331	C₂×#1141	C₂³	1	1	yes	characteristic
332	C₂×#1141	C₂³	1	1	yes	characteristic
333	C₂×#1141	C₂³	1	1	yes	characteristic
334	#6493	C₂³	1	1	yes	characteristic
335	#6493	C₂³	1	1	yes	characteristic
336	#6493	C₂³	1	1	yes	characteristic
337	#6493	C₂³	1	1	yes	characteristic
338	#6492	—	2	1	no	—
339	C₄×C₂²⋊D₇	—	2	1	no	—
340	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
341	#6489	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
344	#6487	C₂³	1	1	yes	characteristic
345	#6487	C₂³	1	1	yes	characteristic
346	C₂×#1136	C₂³	1	1	yes	characteristic
347	C₂×#1136	C₂³	1	1	yes	characteristic
348	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
349	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
350	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
351	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
352	#6461	—	2	1	no	—
353	#6461	—	2	1	no	—
354	#6460	—	2	1	no	—
355	#6459	—	2	1	no	—
356	#6459	—	2	1	no	—
357	#6459	—	2	1	no	—
358	#6458	—	2	1	no	—
359	#6457	—	2	1	no	—
360	#6457	—	2	1	no	—
361	#6457	—	2	1	no	—
362	#6457	—	2	1	no	—
363	#6457	—	2	1	no	—
364	#6457	—	2	1	no	—
365	#6456	—	2	1	no	—
366	#6456	—	2	1	no	—
367	#6456	—	2	1	no	—
368	#6455	—	2	1	no	—
369	D₇×C₄⋊C₄	—	2	1	no	—
370	D₇×C₄⋊C₄	—	2	1	no	—
371	#6452	—	2	1	no	—
372	#6449	—	2	1	no	—
373	#6449	—	2	1	no	—
374	#6448	—	2	1	no	—
375	#6447	—	2	1	no	—
376	#6447	—	2	1	no	—
377	#6447	—	2	1	no	—
378	#6447	—	2	1	no	—
379	#6446	—	2	1	no	—
380	#6446	—	2	1	no	—
381	#6445	—	2	1	no	—
382	#6445	—	2	1	no	—
383	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
384	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
385	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
386	D₇×C₂²⋊C₄	—	2	1	no	—
387	D₇×C₂²⋊C₄	—	2	1	no	—
388	D₇×C₂²⋊C₄	—	2	1	no	—
389	D₇×C₂²⋊C₄	—	2	1	no	—
390	#6442	—	2	1	no	—
391	#6440	—	2	1	no	—
392	#6439	—	2	1	no	—
393	#6438	C₂³	1	1	yes	characteristic
394	#6438	C₂³	1	1	yes	characteristic
395	#6437	C₂³	1	1	yes	characteristic
396	C₄×D₂₈	—	2	1	no	—
397	C₄×D₂₈	—	2	1	no	—
398	C₄×D₂₈	C₂³	1	1	yes	characteristic
399	C₄×D₂₈	C₂³	1	1	yes	characteristic
400	C₄×D₂₈	C₂³	1	1	yes	characteristic
401	C₄×D₂₈	C₂³	1	1	yes	characteristic
402	C₄×D₂₈	C₂³	1	1	yes	characteristic
403	C₄×D₂₈	C₂³	1	1	yes	characteristic
404	C₄×D₂₈	C₂³	1	1	yes	characteristic
405	C₄×D₂₈	C₂³	1	1	yes	characteristic
406	#6435	—	2	1	no	—
407	#6433	C₂³	1	1	yes	characteristic
408	#6433	C₂³	1	1	yes	characteristic
409	#6432	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
412	#6409	C₂³	1	1	yes	characteristic
413	#6409	C₂³	1	1	yes	characteristic
414	#6409	C₂³	1	1	yes	characteristic
415	#6409	C₂³	1	1	yes	characteristic
416	#6406	C₂³	1	1	yes	characteristic
417	#6406	C₂³	1	1	yes	characteristic
418	#6406	C₂³	1	1	yes	characteristic
419	#6406	C₂³	1	1	yes	characteristic
420	#6406	C₂³	1	1	yes	characteristic
421	#6406	C₂³	1	1	yes	characteristic
422	#6406	C₂³	1	1	yes	characteristic
423	#6406	C₂³	1	1	yes	characteristic
424	#6406	C₂³	1	1	yes	characteristic
425	#6406	C₂³	1	1	yes	characteristic
426	#6406	C₂³	1	1	yes	characteristic
427	#6406	C₂³	1	1	yes	characteristic
428	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
429	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
430	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
431	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
432	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
433	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
434	#6384	C₂³	1	1	yes	characteristic
435	#6384	C₂³	1	1	yes	characteristic
436	#6384	C₂³	1	1	yes	characteristic
437	#6384	C₂³	1	1	yes	characteristic
438	#6383	C₂³	1	1	yes	characteristic
439	#6383	C₂³	1	1	yes	characteristic
440	#6383	C₂³	1	1	yes	characteristic
441	#6383	C₂³	1	1	yes	characteristic
442	#6383	C₂³	1	1	yes	characteristic
443	#6383	C₂³	1	1	yes	characteristic
444	#6383	C₂³	1	1	yes	characteristic
445	#6383	C₂³	1	1	yes	characteristic
446	#6383	C₂³	1	1	yes	characteristic
447	#6383	C₂³	1	1	yes	characteristic
448	#6383	C₂³	1	1	yes	characteristic
449	#6383	C₂³	1	1	yes	characteristic
450	#6382	C₂³	1	1	yes	characteristic
451	#6382	C₂³	1	1	yes	characteristic
452	#6382	C₂³	1	1	yes	characteristic
453	#6382	C₂³	1	1	yes	characteristic
454	#6382	C₂³	1	1	yes	characteristic
455	#6382	C₂³	1	1	yes	characteristic
456	#6381	C₂³	1	1	yes	characteristic
457	#6381	C₂³	1	1	yes	characteristic
458	#6381	C₂³	1	1	yes	characteristic
459	#6381	C₂³	1	1	yes	characteristic
460	#6381	C₂³	1	1	yes	characteristic
461	#6381	C₂³	1	1	yes	characteristic
462	#6381	C₂³	1	1	yes	characteristic
463	#6381	C₂³	1	1	yes	characteristic
464	#6381	C₂³	1	1	yes	characteristic
465	#6381	C₂³	1	1	yes	characteristic
466	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
467	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
468	C₄⋊(C₇⋊C₈)	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	#6377	C₂³	1	1	yes	characteristic
473	#6377	C₂³	1	1	yes	characteristic
474	#6377	C₂³	1	1	yes	characteristic
475	#6377	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	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
480	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
481	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
482	#3513	—	7	1	no	—
483	#3513	D₇	1	1	yes	characteristic, complemented
484	#3396	—	7	1	no	—
485	#3380	—	7	1	no	—
486	#3370	—	7	1	no	—
487	#3370	—	7	1	no	—
488	#3339	—	7	1	no	—
489	#3336	—	7	1	no	—
490	#3334	—	7	1	no	—
491	#3322	—	7	1	no	—
492	#3322	—	7	1	no	—
493	#3310	—	7	1	no	—
494	#3310	—	7	1	no	—
495	#3306	—	7	1	no	—
496	#3306	—	7	1	no	—
497	#3280	—	7	1	no	—
498	#3280	—	7	1	no	—
499	D₄×D₈	—	7	1	no	—
500	#3176	—	7	1	no	—
501	#3175	—	7	1	no	—
502	#3168	—	7	1	no	—
503	#3119	—	7	1	no	—
504	#3119	—	7	1	no	—
505	#3118	—	7	1	no	—
506	#3118	—	7	1	no	—
507	#3114	—	7	1	no	—
508	#3114	—	7	1	no	—
509	#2966	—	7	1	no	—
510	#2951	—	7	1	no	—
511	#2948	—	7	1	no	—
512	C₂×C₄×D₈	—	7	1	no	—
513	C₂⁴×C₇	—	2	1	no	—
514	C₂⁴×C₇	—	2	1	no	—
515	C₂³×D₇	—	2	1	no	—
516	C₂³×D₇	—	2	1	no	—
517	C₇×#41	—	2	2	no	—
518	C₇×#41	—	4	1	no	—
519	C₇×#41	—	8	2	no	—
520	C₂×C₇×Q₈	—	2	1	no	—
521	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
522	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₇×D₄	—	2	2	no	—
524	C₂×C₇×D₄	—	2	2	no	—
525	C₂×C₇×D₄	—	2	1	no	—
526	C₂×C₇×D₄	—	2	1	no	—
527	C₂×C₇×D₄	—	2	1	no	—
528	C₂×C₇×D₄	—	2	1	no	—
529	C₂×C₇×D₄	—	2	1	no	—
530	C₂×C₇×D₄	—	2	1	no	—
531	C₂×C₇×D₄	—	2	1	no	—
532	C₂×C₇×D₄	—	2	1	no	—
533	C₂×C₇×D₄	—	2	1	no	—
534	C₂×C₇×D₄	—	4	1	no	—
535	C₂×C₇×D₄	—	4	1	no	—
536	C₂×C₇×D₄	—	8	2	no	—
537	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
538	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
539	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
540	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
541	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
542	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₇	—	2	1	no	—
544	C₂²×C₄×C₇	—	2	1	no	—
545	C₂²×C₄×C₇	—	2	1	no	—
546	C₂²×C₄×C₇	—	2	1	no	—
547	C₂²×C₄×C₇	—	2	1	no	—
548	C₂²×C₄×C₇	—	2	1	no	—
549	C₂²×C₄×C₇	—	2	1	no	—
550	C₂²×C₄×C₇	—	2	1	no	—
551	C₂²×C₄×C₇	—	2	1	no	—
552	C₂²×C₄×C₇	—	2	1	no	—
553	C₂²×C₄×C₇	—	2	1	no	—
554	C₂²×C₄×C₇	—	8	2	no	—
555	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
556	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
557	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
560	C₂×C₂²⋊D₇	—	2	1	no	—
561	C₂×C₂²⋊D₇	—	2	1	no	—
562	C₂×C₂²⋊D₇	—	2	1	no	—
563	C₂×C₂²⋊D₇	—	2	1	no	—
564	C₂×C₂²⋊D₇	—	2	1	no	—
565	C₂²×Dic₇	—	2	1	no	—
566	C₂²×Dic₇	—	2	1	no	—
567	#1159	—	8	2	no	—
568	D₄×D₇	—	8	2	no	—
569	#1157	—	2	2	no	—
570	#1157	—	4	1	no	—
571	C₂×D₂₈	—	2	2	no	—
572	C₂×D₂₈	—	2	2	no	—
573	C₂×D₂₈	—	2	1	no	—
574	C₂×D₂₈	—	2	1	no	—
575	C₂×D₂₈	—	2	1	no	—
576	C₂×D₂₈	—	2	1	no	—
577	C₂×D₂₈	—	4	1	no	—
578	C₂×D₂₈	—	4	1	no	—
579	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
580	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
581	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₄×D₇	—	2	1	no	—
583	C₂×C₄×D₇	—	2	1	no	—
584	C₂×C₄×D₇	—	2	1	no	—
585	C₂×C₄×D₇	—	2	1	no	—
586	C₂×C₄×D₇	—	2	1	no	—
587	C₂×C₄×D₇	—	2	1	no	—
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	—	8	2	no	—
592	C₂×Dic₁₄	—	2	1	no	—
593	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
594	C₇×C₄⋊C₄	—	2	1	no	—
595	C₇×C₄⋊C₄	—	2	1	no	—
596	C₇×C₄⋊C₄	—	2	1	no	—
597	C₇×C₄⋊C₄	—	2	1	no	—
598	C₇×C₄⋊C₄	—	2	1	no	—
599	C₇×C₄⋊C₄	—	2	1	no	—
600	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
606	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₇×C₂²⋊C₄	—	2	1	no	—
620	C₇×C₂²⋊C₄	—	2	1	no	—
621	C₇×C₂²⋊C₄	—	2	1	no	—
622	C₇×C₂²⋊C₄	—	2	1	no	—
623	C₇×C₂²⋊C₄	—	2	1	no	—
624	C₇×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
639	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₇	—	2	1	no	—
649	C₄²×C₇	—	2	1	no	—
650	C₄²×C₇	—	2	1	no	—
651	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
652	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
653	C₄²×C₇	C₂⁴	1	1	yes	characteristic
654	C₄²×C₇	C₂⁴	1	1	yes	characteristic
655	C₄²×C₇	C₂⁴	1	1	yes	characteristic
656	C₄²×C₇	C₂⁴	1	1	yes	characteristic
657	C₂²⋊Dic₇	—	2	1	no	—
658	C₂²⋊Dic₇	—	2	1	no	—
659	C₂²⋊Dic₇	—	2	1	no	—
660	#1144	—	2	2	no	—
661	#1143	—	2	2	no	—
662	#1143	—	4	1	no	—
663	#1143	—	4	1	no	—
664	#1142	—	2	2	no	—
665	#1142	—	4	1	no	—
666	#1142	—	4	1	no	—
667	#1141	—	2	2	no	—
668	#1141	—	2	2	no	—
669	#1141	—	2	2	no	—
670	#1141	—	2	2	no	—
671	#1141	—	2	2	no	—
672	#1141	—	2	2	no	—
673	#1141	—	4	1	no	—
674	#1141	—	4	1	no	—
675	#1141	#41	1	4	yes	complemented
676	(C₂×D₇)⋊C₄	—	2	1	no	—
677	(C₂×D₇)⋊C₄	—	2	1	no	—
678	(C₂×D₇)⋊C₄	—	2	1	no	—
679	(C₂×D₇)⋊C₄	—	2	1	no	—
680	(C₂×D₇)⋊C₄	—	2	1	no	—
681	(C₂×D₇)⋊C₄	—	2	1	no	—
682	(C₂×D₇)⋊C₄	—	2	1	no	—
683	(C₂×D₇)⋊C₄	—	2	1	no	—
684	(C₂×D₇)⋊C₄	—	2	1	no	—
685	(C₂×D₇)⋊C₄	—	2	1	no	—
686	(C₂×D₇)⋊C₄	—	2	1	no	—
687	(C₂×D₇)⋊C₄	—	2	1	no	—
688	(C₂×D₇)⋊C₄	—	2	1	no	—
689	(C₂×D₇)⋊C₄	—	2	1	no	—
690	(C₂×D₇)⋊C₄	—	2	1	no	—
691	(C₂×D₇)⋊C₄	—	2	1	no	—
692	C₄⋊Dic₇	—	2	1	no	—
693	C₄⋊Dic₇	—	2	1	no	—
694	C₄⋊Dic₇	—	2	1	no	—
695	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
696	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
697	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
699	Dic₇⋊C₄	—	2	1	no	—
700	Dic₇⋊C₄	—	2	1	no	—
701	Dic₇⋊C₄	—	2	1	no	—
702	Dic₇⋊C₄	—	2	1	no	—
703	Dic₇⋊C₄	—	2	1	no	—
704	Dic₇⋊C₄	—	2	1	no	—
705	Dic₇⋊C₄	—	2	1	no	—
706	Dic₇⋊C₄	—	2	1	no	—
707	C₄×Dic₇	—	2	1	no	—
708	C₄×Dic₇	—	2	1	no	—
709	C₄×Dic₇	—	2	1	no	—
710	#1136	—	4	1	no	—
711	#1136	—	4	1	no	—
712	C₂×C₇⋊C₈	—	2	2	no	—
713	C₂×C₇⋊C₈	—	2	2	no	—
714	C₂×C₇⋊C₈	—	2	2	no	—
715	C₂×C₇⋊C₈	—	4	1	no	—
716	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
717	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
718	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
719	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
720	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
721	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
722	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
723	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
724	C₂×#135	—	7	1	no	—
725	C₂²×D₈	—	7	1	no	—
726	C₂²×D₈	—	7	1	no	—
727	#559	—	7	1	no	—
728	#559	C₂×D₇	1	1	yes	characteristic, complemented
729	#554	—	7	1	no	—
730	#554	C₂×D₇	1	1	yes	characteristic, complemented
731	#553	—	2	1	no	—
732	#553	—	7	1	no	—
733	#553	—	14	1	no	—
734	#553	C₂×D₇	1	1	yes	characteristic, complemented
735	#552	—	7	1	no	—
736	#552	C₂×D₇	1	1	yes	characteristic
737	#551	—	2	1	no	—
738	#551	—	2	1	no	—
739	#551	—	14	1	no	—
740	#551	—	14	1	no	—
741	#547	—	7	1	no	—
742	#547	C₂×D₇	1	1	yes	characteristic, complemented
743	#546	—	2	1	no	—
744	#546	—	7	1	no	—
745	#546	—	7	1	no	—
746	#546	—	14	1	no	—
747	#546	C₂×D₇	1	1	yes	characteristic, complemented
748	#546	C₂×D₇	1	1	yes	characteristic, complemented
749	D₄²	—	7	1	no	—
750	D₄²	C₂×D₇	1	1	yes	characteristic
751	#542	—	7	1	no	—
752	#542	C₂×D₇	1	1	yes	characteristic, complemented
753	#540	—	7	1	no	—
754	#540	C₂×D₇	1	1	yes	characteristic, complemented
755	#539	—	2	1	no	—
756	#539	—	14	1	no	—
757	#538	—	2	1	no	—
758	#538	—	14	1	no	—
759	#529	—	7	1	no	—
760	#529	C₂×D₇	1	1	yes	characteristic
761	#529	C₂×D₇	1	1	yes	characteristic, complemented
762	#525	—	2	1	no	—
763	#525	—	14	1	no	—
764	C₂×#123	—	2	1	no	—
765	C₂×#123	—	14	1	no	—
766	#520	—	7	1	no	—
767	#520	C₂×D₇	1	1	yes	characteristic, complemented
768	#518	—	7	1	no	—
769	#518	C₂×D₇	1	1	yes	characteristic, complemented
770	C₂×C₄×D₄	—	7	1	no	—
771	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic, complemented
772	#500	—	7	1	no	—
773	#499	—	7	1	no	—
774	#499	—	7	1	no	—
775	#495	—	7	1	no	—
776	#495	—	7	1	no	—
777	#493	—	7	1	no	—
778	#490	—	7	1	no	—
779	#490	—	7	1	no	—
780	#489	—	7	1	no	—
781	#489	—	7	1	no	—
782	#488	—	7	1	no	—
783	#488	—	7	1	no	—
784	#485	—	7	1	no	—
785	#485	—	7	1	no	—
786	#483	—	7	1	no	—
787	#483	—	7	1	no	—
788	#482	—	7	1	no	—
789	#482	—	7	1	no	—
790	#481	—	7	1	no	—
791	#481	—	7	1	no	—
792	#480	—	7	1	no	—
793	#480	—	7	1	no	—
794	#480	—	7	1	no	—
795	#480	—	7	1	no	—
796	#479	—	7	1	no	—
797	#479	—	7	1	no	—
798	#478	—	7	1	no	—
799	#478	—	7	1	no	—
800	#478	—	7	1	no	—
801	#478	—	7	1	no	—
802	#478	—	7	1	no	—
803	#478	—	7	1	no	—
804	#476	—	7	1	no	—
805	#476	—	7	1	no	—
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#469	—	7	1	no	—
809	#469	—	7	1	no	—
810	#468	—	7	1	no	—
811	#468	—	7	1	no	—
812	#467	—	7	1	no	—
813	#467	—	7	1	no	—
814	#466	—	7	1	no	—
815	#466	—	7	1	no	—
816	#466	—	7	1	no	—
817	#466	—	7	1	no	—
818	#465	—	7	1	no	—
819	#465	—	7	1	no	—
820	#463	—	7	1	no	—
821	#463	—	7	1	no	—
822	#463	—	7	1	no	—
823	#463	—	7	1	no	—
824	#463	—	7	1	no	—
825	#463	—	7	1	no	—
826	#463	—	7	1	no	—
827	#463	—	7	1	no	—
828	#460	—	7	1	no	—
829	#460	—	7	1	no	—
830	#459	—	7	1	no	—
831	#459	—	7	1	no	—
832	#450	—	7	1	no	—
833	#450	—	7	1	no	—
834	#450	—	7	1	no	—
835	#450	—	7	1	no	—
836	#449	—	7	1	no	—
837	#449	—	7	1	no	—
838	#449	—	7	1	no	—
839	#449	—	7	1	no	—
840	#447	—	7	1	no	—
841	#447	—	7	1	no	—
842	#447	—	7	1	no	—
843	#447	—	7	1	no	—
844	#446	—	7	1	no	—
845	C₈×Q₈	—	7	1	no	—
846	#442	—	7	1	no	—
847	#442	—	7	1	no	—
848	#442	—	7	1	no	—
849	#442	—	7	1	no	—
850	#442	—	7	1	no	—
851	#442	—	7	1	no	—
852	#440	—	7	1	no	—
853	#440	—	7	1	no	—
854	#440	—	7	1	no	—
855	#440	—	7	1	no	—
856	#440	—	7	1	no	—
857	#440	—	7	1	no	—
858	C₄×Q₁₆	—	7	1	no	—
859	C₄×Q₁₆	—	7	1	no	—
860	C₄×SD₁₆	—	7	1	no	—
861	C₄×SD₁₆	—	7	1	no	—
862	C₄×D₈	—	7	1	no	—
863	C₄×D₈	—	7	1	no	—
864	C₄×D₈	—	7	1	no	—
865	C₄×D₈	—	7	1	no	—
866	C₄×D₈	—	7	1	no	—
867	C₄×D₈	—	7	1	no	—
868	C₄×D₈	—	7	1	no	—
869	C₄×D₈	—	7	1	no	—
870	C₄×D₈	—	7	1	no	—
871	C₄×D₈	—	7	1	no	—
872	C₄×D₈	—	7	1	no	—
873	C₄×D₈	—	7	1	no	—
874	#436	—	7	1	no	—
875	#435	—	7	1	no	—
876	#435	—	7	1	no	—
877	C₈×D₄	—	7	1	no	—
878	C₈×D₄	—	7	1	no	—
879	C₈×D₄	—	7	1	no	—
880	#433	—	7	1	no	—
881	#433	—	7	1	no	—
882	#432	—	7	1	no	—
883	#427	—	7	1	no	—
884	C₂×#107	—	7	1	no	—
885	C₂×#107	—	7	1	no	—
886	#418	—	7	1	no	—
887	#418	—	7	1	no	—
888	#417	—	7	1	no	—
889	#417	—	7	1	no	—
890	C₂×#102	—	7	1	no	—
891	C₂×#102	—	7	1	no	—
892	#405	—	7	1	no	—
893	#405	—	7	1	no	—
894	C₂×C₄×C₈	—	7	1	no	—
895	C₂³×C₇	—	2	1	no	—
896	C₂³×C₇	—	2	1	no	—
897	C₂³×C₇	—	2	1	no	—
898	C₂³×C₇	—	4	2	no	—
899	C₂³×C₇	—	4	2	no	—
900	C₂³×C₇	—	4	2	no	—
901	C₂³×C₇	—	8	1	no	—
902	C₂³×C₇	—	8	1	no	—
903	C₂³×C₇	—	8	1	no	—
904	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
905	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
906	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
907	C₂²×D₇	—	2	1	no	—
908	C₂²×D₇	—	2	1	no	—
909	C₂²×D₇	—	2	1	no	—
910	C₂²×D₇	—	4	2	no	—
911	C₂²×D₇	—	4	2	no	—
912	C₂²×D₇	—	4	2	no	—
913	C₂²×D₇	—	8	1	no	—
914	C₂²×D₇	—	8	1	no	—
915	C₂²×D₇	—	8	1	no	—
916	C₇×Q₈	—	2	1	no	—
917	C₇×Q₈	—	2	1	no	—
918	C₇×Q₈	—	4	1	no	—
919	C₇×Q₈	—	8	1	no	—
920	C₇×D₄	—	2	2	no	—
921	C₇×D₄	—	2	2	no	—
922	C₇×D₄	—	2	1	no	—
923	C₇×D₄	—	2	1	no	—
924	C₇×D₄	—	2	1	no	—
925	C₇×D₄	—	2	1	no	—
926	C₇×D₄	—	2	1	no	—
927	C₇×D₄	—	4	1	no	—
928	C₇×D₄	—	4	2	no	—
929	C₇×D₄	—	4	2	no	—
930	C₇×D₄	—	4	2	no	—
931	C₇×D₄	—	4	2	no	—
932	C₇×D₄	—	8	1	no	—
933	C₇×D₄	—	8	1	no	—
934	C₇×D₄	—	8	1	no	—
935	C₇×D₄	—	8	1	no	—
936	C₇×D₄	—	8	1	no	—
937	C₇×D₄	C₂×#41	1	2	yes	—
938	C₂×C₄×C₇	—	2	2	no	—
939	C₂×C₄×C₇	—	2	1	no	—
940	C₂×C₄×C₇	—	2	1	no	—
941	C₂×C₄×C₇	—	2	1	no	—
942	C₂×C₄×C₇	—	2	1	no	—
943	C₂×C₄×C₇	—	2	1	no	—
944	C₂×C₄×C₇	—	2	1	no	—
945	C₂×C₄×C₇	—	2	1	no	—
946	C₂×C₄×C₇	—	2	1	no	—
947	C₂×C₄×C₇	—	2	1	no	—
948	C₂×C₄×C₇	—	2	1	no	—
949	C₂×C₄×C₇	—	2	1	no	—
950	C₂×C₄×C₇	—	4	1	no	—
951	C₂×C₄×C₇	—	4	2	no	—
952	C₂×C₄×C₇	—	4	2	no	—
953	C₂×C₄×C₇	—	8	1	no	—
954	C₂×C₄×C₇	—	8	1	no	—
955	C₂×C₄×C₇	—	8	1	no	—
956	C₂×C₄×C₇	—	8	1	no	—
957	C₂×C₄×C₇	—	8	1	no	—
958	C₂×C₄×C₇	—	8	1	no	—
959	C₂×C₄×C₇	—	8	1	no	—
960	C₂×C₄×C₇	—	8	1	no	—
961	C₂×C₄×C₇	—	8	1	no	—
962	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
963	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
964	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
965	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
966	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
967	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
968	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
969	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
970	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
971	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
972	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
974	C₂²⋊D₇	—	4	2	no	—
975	C₂²⋊D₇	—	4	2	no	—
976	C₂²⋊D₇	—	8	1	no	—
977	C₂²⋊D₇	—	8	1	no	—
978	C₂²⋊D₇	—	8	1	no	—
979	C₂×Dic₇	—	2	1	no	—
980	C₂×Dic₇	—	2	1	no	—
981	C₂×Dic₇	—	2	1	no	—
982	C₂×Dic₇	—	2	1	no	—
983	C₂×Dic₇	—	2	1	no	—
984	C₂×Dic₇	—	4	2	no	—
985	C₂×Dic₇	—	8	1	no	—
986	D₂₈	—	2	1	no	—
987	D₂₈	—	2	1	no	—
988	D₂₈	—	2	1	no	—
989	D₂₈	—	2	1	no	—
990	D₂₈	—	2	1	no	—
991	D₂₈	—	4	2	no	—
992	D₂₈	—	4	2	no	—
993	D₂₈	—	8	1	no	—
994	D₂₈	—	8	1	no	—
995	D₂₈	C₂×#41	1	2	yes	—
996	C₄×D₇	—	4	2	no	—
997	C₄×D₇	—	8	1	no	—
998	C₄×D₇	—	8	1	no	—
999	C₄×D₇	—	8	1	no	—
1000	C₄×D₇	—	8	1	no	—
1001	C₄×D₇	—	8	1	no	—
1002	C₄×D₇	—	8	1	no	—
1003	C₄×D₇	—	8	1	no	—
1004	C₄×D₇	—	8	1	no	—
1005	Dic₁₄	—	2	1	no	—
1006	Dic₁₄	—	2	1	no	—
1007	Dic₁₄	—	8	1	no	—
1008	C₇⋊C₈	—	2	1	no	—
1009	C₇⋊C₈	—	2	1	no	—
1010	C₇⋊C₈	—	2	1	no	—
1011	C₇⋊C₈	—	2	1	no	—
1012	C₇⋊C₈	—	2	1	no	—
1013	C₇⋊C₈	—	2	1	no	—
1014	C₇⋊C₈	—	2	1	no	—
1015	C₇⋊C₈	C₂×#41	1	2	yes	—
1016	C₂×#41	—	2	1	no	—
1017	C₂×#41	—	7	1	no	—
1018	C₂×#41	—	14	1	no	—
1019	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1020	C₂²×D₄	—	2	1	no	—
1021	C₂²×D₄	—	7	1	no	—
1022	C₂²×D₄	—	7	1	no	—
1023	C₂²×D₄	—	14	1	no	—
1024	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1025	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
1026	C₂³×C₄	—	2	1	no	—
1027	C₂³×C₄	—	14	1	no	—
1028	#135	—	14	4	no	—
1029	C₂×Q₁₆	—	7	1	no	—
1030	C₂×SD₁₆	—	7	1	no	—
1031	C₂×SD₁₆	—	7	1	no	—
1032	C₂×SD₁₆	—	7	1	no	—
1033	C₂×SD₁₆	—	7	1	no	—
1034	C₂×SD₁₆	—	7	1	no	—
1035	C₂×SD₁₆	—	7	1	no	—
1036	C₂×D₈	—	7	1	no	—
1037	C₂×D₈	—	7	1	no	—
1038	C₂×D₈	—	7	1	no	—
1039	C₂×D₈	—	7	1	no	—
1040	C₂×D₈	—	7	1	no	—
1041	C₂×D₈	—	7	1	no	—
1042	C₂×D₈	—	7	1	no	—
1043	C₂×D₈	—	7	1	no	—
1044	C₂×D₈	—	7	1	no	—
1045	C₂×D₈	—	14	4	no	—
1046	C₂×D₈	—	14	4	no	—
1047	C₂×M₁₆	—	7	1	no	—
1048	C₂×M₁₆	—	7	1	no	—
1049	C₂²×C₈	—	7	1	no	—
1050	C₂²×C₈	—	7	1	no	—
1051	C₂²×C₈	—	7	1	no	—
1052	C₂²×C₈	—	7	1	no	—
1053	C₄⋊Q₈	—	7	1	no	—
1054	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1055	#127	—	7	1	no	—
1056	#127	C₂²×D₇	1	1	yes	characteristic
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	2	1	no	—
1060	#126	—	2	1	no	—
1061	#126	—	14	1	no	—
1062	#126	—	14	1	no	—
1063	#126	—	14	1	no	—
1064	#126	—	14	1	no	—
1065	#126	C₂²⋊D₇	1	1	yes	characteristic
1066	#126	C₂²⋊D₇	1	1	yes	characteristic
1067	#125	—	2	1	no	—
1068	#125	—	7	1	no	—
1069	#125	—	7	1	no	—
1070	#125	—	14	1	no	—
1071	#125	C₂²⋊D₇	1	1	yes	characteristic
1072	#125	C₂²×D₇	1	1	yes	characteristic
1073	#125	C₂²×D₇	1	1	yes	characteristic
1074	#124	—	2	1	no	—
1075	#124	—	2	1	no	—
1076	#124	—	7	1	no	—
1077	#124	—	7	1	no	—
1078	#124	—	14	1	no	—
1079	#124	—	14	1	no	—
1080	#124	C₂²⋊D₇	1	1	yes	characteristic
1081	#124	C₂²×D₇	1	1	yes	characteristic
1082	#124	C₂²×D₇	1	1	yes	characteristic
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	2	1	no	—
1086	#123	—	2	1	no	—
1087	#123	—	2	1	no	—
1088	#123	—	2	1	no	—
1089	#123	—	2	1	no	—
1090	#123	—	2	1	no	—
1091	#123	—	2	1	no	—
1092	#123	—	2	1	no	—
1093	#123	—	2	1	no	—
1094	#123	—	2	1	no	—
1095	#123	—	14	1	no	—
1096	#123	—	14	1	no	—
1097	#123	—	14	1	no	—
1098	#123	—	14	1	no	—
1099	#123	—	14	1	no	—
1100	#123	—	14	1	no	—
1101	#123	—	14	1	no	—
1102	#123	—	14	1	no	—
1103	#123	—	14	1	no	—
1104	#123	—	14	1	no	—
1105	#123	—	14	1	no	—
1106	#123	—	14	1	no	—
1107	#123	C₂²⋊D₇	1	1	yes	characteristic
1108	#123	C₂²⋊D₇	1	1	yes	characteristic
1109	C₂²⋊Q₈	—	2	1	no	—
1110	C₂²⋊Q₈	—	2	1	no	—
1111	C₂²⋊Q₈	—	2	1	no	—
1112	C₂²⋊Q₈	—	2	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	7	1	no	—
1115	C₂²⋊Q₈	—	7	1	no	—
1116	C₂²⋊Q₈	—	14	1	no	—
1117	C₂²⋊Q₈	—	14	1	no	—
1118	C₂²⋊Q₈	—	14	1	no	—
1119	C₂²⋊Q₈	—	14	1	no	—
1120	C₂²⋊Q₈	—	14	1	no	—
1121	C₂²⋊Q₈	C₂²⋊D₇	1	1	yes	characteristic
1122	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1123	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1124	#121	—	2	1	no	—
1125	#121	—	2	1	no	—
1126	#121	—	2	1	no	—
1127	#121	—	2	1	no	—
1128	#121	—	2	1	no	—
1129	#121	—	2	1	no	—
1130	#121	—	7	1	no	—
1131	#121	—	7	1	no	—
1132	#121	—	7	1	no	—
1133	#121	—	7	1	no	—
1134	#121	—	14	1	no	—
1135	#121	—	14	1	no	—
1136	#121	—	14	1	no	—
1137	#121	—	14	1	no	—
1138	#121	—	14	1	no	—
1139	#121	—	14	1	no	—
1140	#121	C₂²⋊D₇	1	1	yes	characteristic
1141	#121	C₂²×D₇	1	1	yes	characteristic
1142	#121	C₂²×D₇	1	1	yes	characteristic
1143	#121	C₂²×D₇	1	1	yes	characteristic
1144	#121	C₂²×D₇	1	1	yes	characteristic
1145	#120	—	2	1	no	—
1146	#120	—	2	1	no	—
1147	#120	—	2	1	no	—
1148	#120	—	2	1	no	—
1149	#120	—	14	1	no	—
1150	#120	—	14	1	no	—
1151	#120	—	14	1	no	—
1152	#120	—	14	1	no	—
1153	C₄×Q₈	—	7	1	no	—
1154	C₄×Q₈	—	7	1	no	—
1155	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1156	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1157	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	2	1	no	—
1161	C₄×D₄	—	2	1	no	—
1162	C₄×D₄	—	2	1	no	—
1163	C₄×D₄	—	2	1	no	—
1164	C₄×D₄	—	2	1	no	—
1165	C₄×D₄	—	2	1	no	—
1166	C₄×D₄	—	2	1	no	—
1167	C₄×D₄	—	7	1	no	—
1168	C₄×D₄	—	7	1	no	—
1169	C₄×D₄	—	7	1	no	—
1170	C₄×D₄	—	7	1	no	—
1171	C₄×D₄	—	7	1	no	—
1172	C₄×D₄	—	7	1	no	—
1173	C₄×D₄	—	7	1	no	—
1174	C₄×D₄	—	7	1	no	—
1175	C₄×D₄	—	14	1	no	—
1176	C₄×D₄	—	14	1	no	—
1177	C₄×D₄	—	14	1	no	—
1178	C₄×D₄	—	14	1	no	—
1179	C₄×D₄	—	14	1	no	—
1180	C₄×D₄	—	14	1	no	—
1181	C₄×D₄	—	14	1	no	—
1182	C₄×D₄	—	14	1	no	—
1183	C₄×D₄	—	14	1	no	—
1184	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1185	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1186	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1187	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1188	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1189	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1190	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1191	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1192	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1193	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1194	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1195	#117	—	2	1	no	—
1196	#117	—	2	1	no	—
1197	#117	—	2	1	no	—
1198	#117	—	7	1	no	—
1199	#117	—	14	1	no	—
1200	#117	—	14	1	no	—
1201	#117	—	14	1	no	—
1202	#117	C₂²×D₇	1	1	yes	characteristic
1203	#117	C₂²×D₇	1	1	yes	characteristic
1204	#117	C₂²×D₇	1	1	yes	characteristic
1205	C₂×C₄⋊C₄	—	2	1	no	—
1206	C₂×C₄⋊C₄	—	2	1	no	—
1207	C₂×C₄⋊C₄	—	7	1	no	—
1208	C₂×C₄⋊C₄	—	7	1	no	—
1209	C₂×C₄⋊C₄	—	14	1	no	—
1210	C₂×C₄⋊C₄	—	14	1	no	—
1211	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1212	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1213	C₂×C₂²⋊C₄	—	2	1	no	—
1214	C₂×C₂²⋊C₄	—	2	1	no	—
1215	C₂×C₂²⋊C₄	—	2	1	no	—
1216	C₂×C₂²⋊C₄	—	2	1	no	—
1217	C₂×C₂²⋊C₄	—	2	1	no	—
1218	C₂×C₂²⋊C₄	—	14	1	no	—
1219	C₂×C₂²⋊C₄	—	14	1	no	—
1220	C₂×C₂²⋊C₄	—	14	1	no	—
1221	C₂×C₂²⋊C₄	—	14	1	no	—
1222	C₂×C₂²⋊C₄	—	14	1	no	—
1223	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1224	#107	—	7	1	no	—
1225	#107	—	7	1	no	—
1226	#107	—	7	1	no	—
1227	#107	—	7	1	no	—
1228	#107	—	7	1	no	—
1229	#107	—	7	1	no	—
1230	#107	—	7	1	no	—
1231	#107	—	7	1	no	—
1232	#107	—	7	1	no	—
1233	#107	—	7	1	no	—
1234	#106	—	7	1	no	—
1235	#106	—	7	1	no	—
1236	#106	—	7	1	no	—
1237	#106	—	7	1	no	—
1238	#106	—	7	1	no	—
1239	#106	—	7	1	no	—
1240	C₄⋊C₈	—	7	1	no	—
1241	C₄⋊C₈	—	7	1	no	—
1242	C₄⋊C₈	—	7	1	no	—
1243	C₄⋊C₈	—	7	1	no	—
1244	C₄⋊C₈	—	7	1	no	—
1245	C₄⋊C₈	—	7	1	no	—
1246	#103	—	7	1	no	—
1247	#103	—	7	1	no	—
1248	#103	—	7	1	no	—
1249	#103	—	7	1	no	—
1250	#103	—	7	1	no	—
1251	#103	—	7	1	no	—
1252	#103	—	7	1	no	—
1253	#103	—	7	1	no	—
1254	#102	—	7	1	no	—
1255	#102	—	7	1	no	—
1256	#102	—	7	1	no	—
1257	#102	—	7	1	no	—
1258	#102	—	7	1	no	—
1259	#102	—	7	1	no	—
1260	#102	—	7	1	no	—
1261	#102	—	7	1	no	—
1262	#102	—	7	1	no	—
1263	#102	—	7	1	no	—
1264	#102	—	7	1	no	—
1265	#102	—	7	1	no	—
1266	#102	—	7	1	no	—
1267	#102	—	7	1	no	—
1268	#102	—	7	1	no	—
1269	#102	—	7	1	no	—
1270	#102	—	7	1	no	—
1271	#102	—	7	1	no	—
1272	#102	—	7	1	no	—
1273	#102	—	7	1	no	—
1274	#102	—	7	1	no	—
1275	#102	—	7	1	no	—
1276	#102	—	7	1	no	—
1277	#102	—	7	1	no	—
1278	C₂²⋊C₈	—	7	1	no	—
1279	C₂²⋊C₈	—	7	1	no	—
1280	C₂²⋊C₈	—	7	1	no	—
1281	C₂²⋊C₈	—	7	1	no	—
1282	C₂²⋊C₈	—	7	1	no	—
1283	C₂²⋊C₈	—	7	1	no	—
1284	#97	—	7	1	no	—
1285	#97	—	7	1	no	—
1286	#97	—	7	1	no	—
1287	#97	—	7	1	no	—
1288	C₄×C₈	—	7	1	no	—
1289	C₄×C₈	—	7	1	no	—
1290	C₄×C₈	—	7	1	no	—
1291	C₄×C₈	—	7	1	no	—
1292	C₄×C₈	—	7	1	no	—
1293	C₄×C₈	—	7	1	no	—
1294	C₂²×C₇	—	2	1	no	—
1295	C₂²×C₇	—	2	1	no	—
1296	C₂²×C₇	—	2	1	no	—
1297	C₂²×C₇	—	2	1	no	—
1298	C₂²×C₇	—	2	1	no	—
1299	C₂²×C₇	—	2	1	no	—
1300	C₂²×C₇	—	2	2	no	—
1301	C₂²×C₇	—	2	1	no	—
1302	C₂²×C₇	—	2	1	no	—
1303	C₂²×C₇	—	4	1	no	—
1304	C₂²×C₇	—	4	1	no	—
1305	C₂²×C₇	—	4	1	no	—
1306	C₂²×C₇	—	4	1	no	—
1307	C₂²×C₇	—	4	1	no	—
1308	C₂²×C₇	—	4	1	no	—
1309	C₂²×C₇	—	4	1	no	—
1310	C₂²×C₇	—	4	1	no	—
1311	C₂²×C₇	—	8	4	no	—
1312	C₂²×C₇	—	16	2	no	—
1313	C₂²×C₇	#576	1	2	yes	—
1314	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1315	C₂×D₇	—	2	2	no	—
1316	C₂×D₇	—	4	1	no	—
1317	C₂×D₇	—	4	1	no	—
1318	C₂×D₇	—	4	1	no	—
1319	C₂×D₇	—	4	1	no	—
1320	C₂×D₇	—	4	1	no	—
1321	C₂×D₇	—	4	1	no	—
1322	C₂×D₇	—	4	1	no	—
1323	C₂×D₇	—	4	1	no	—
1324	C₂×D₇	—	8	4	no	—
1325	C₂×D₇	—	16	2	no	—
1326	C₄×C₇	—	2	1	no	—
1327	C₄×C₇	—	2	1	no	—
1328	C₄×C₇	—	2	1	no	—
1329	C₄×C₇	—	2	1	no	—
1330	C₄×C₇	—	2	1	no	—
1331	C₄×C₇	—	2	1	no	—
1332	C₄×C₇	—	2	1	no	—
1333	C₄×C₇	—	2	1	no	—
1334	C₄×C₇	—	2	1	no	—
1335	C₄×C₇	—	2	1	no	—
1336	C₄×C₇	—	2	1	no	—
1337	C₄×C₇	—	4	1	no	—
1338	C₄×C₇	—	4	1	no	—
1339	C₄×C₇	—	4	1	no	—
1340	C₄×C₇	—	4	1	no	—
1341	C₄×C₇	—	4	1	no	—
1342	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1343	C₄×C₇	#585	1	1	yes	characteristic
1344	Dic₇	—	4	1	no	—
1345	Dic₇	—	4	1	no	—
1346	Dic₇	—	4	1	no	—
1347	Dic₇	—	4	1	no	—
1348	Dic₇	—	4	1	no	—
1349	C₂⁴	—	2	1	no	—
1350	C₂⁴	—	2	1	no	—
1351	C₂⁴	—	14	1	no	—
1352	C₂⁴	—	14	1	no	—
1353	#41	—	2	2	no	—
1354	#41	—	4	1	no	—
1355	#41	—	8	2	no	—
1356	#41	—	14	2	no	—
1357	#41	—	28	1	no	—
1358	#41	—	56	2	no	—
1359	C₂×Q₈	—	2	1	no	—
1360	C₂×Q₈	—	7	1	no	—
1361	C₂×Q₈	—	14	1	no	—
1362	C₂×Q₈	C₂×C₂²⋊D₇	1	1	yes	characteristic
1363	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1364	C₂×D₄	—	2	2	no	—
1365	C₂×D₄	—	2	2	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	4	1	no	—
1376	C₂×D₄	—	4	1	no	—
1377	C₂×D₄	—	7	1	no	—
1378	C₂×D₄	—	7	1	no	—
1379	C₂×D₄	—	7	1	no	—
1380	C₂×D₄	—	8	2	no	—
1381	C₂×D₄	—	14	2	no	—
1382	C₂×D₄	—	14	2	no	—
1383	C₂×D₄	—	14	1	no	—
1384	C₂×D₄	—	14	1	no	—
1385	C₂×D₄	—	14	1	no	—
1386	C₂×D₄	—	14	1	no	—
1387	C₂×D₄	—	14	1	no	—
1388	C₂×D₄	—	14	1	no	—
1389	C₂×D₄	—	14	1	no	—
1390	C₂×D₄	—	14	1	no	—
1391	C₂×D₄	—	14	1	no	—
1392	C₂×D₄	—	28	1	no	—
1393	C₂×D₄	—	28	1	no	—
1394	C₂×D₄	—	56	2	no	—
1395	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1396	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1397	C₂×D₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1398	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1399	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1400	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	2	1	no	—
1410	C₂²×C₄	—	2	1	no	—
1411	C₂²×C₄	—	2	1	no	—
1412	C₂²×C₄	—	8	2	no	—
1413	C₂²×C₄	—	14	1	no	—
1414	C₂²×C₄	—	14	1	no	—
1415	C₂²×C₄	—	14	1	no	—
1416	C₂²×C₄	—	14	1	no	—
1417	C₂²×C₄	—	14	1	no	—
1418	C₂²×C₄	—	14	1	no	—
1419	C₂²×C₄	—	14	1	no	—
1420	C₂²×C₄	—	14	1	no	—
1421	C₂²×C₄	—	14	1	no	—
1422	C₂²×C₄	—	14	1	no	—
1423	C₂²×C₄	—	14	1	no	—
1424	C₂²×C₄	—	56	2	no	—
1425	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1426	C₂²×C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1429	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1430	Q₁₆	—	14	2	no	—
1431	SD₁₆	—	14	2	no	—
1432	SD₁₆	—	14	2	no	—
1433	SD₁₆	—	28	1	no	—
1434	SD₁₆	—	28	1	no	—
1435	SD₁₆	—	28	1	no	—
1436	SD₁₆	—	28	1	no	—
1437	D₈	—	7	4	no	—
1438	D₈	—	14	2	no	—
1439	D₈	—	14	2	no	—
1440	D₈	—	14	2	no	—
1441	D₈	—	14	2	no	—
1442	D₈	—	14	2	no	—
1443	D₈	—	14	2	no	—
1444	D₈	—	28	1	no	—
1445	D₈	—	28	1	no	—
1446	M₁₆	—	28	1	no	—
1447	M₁₆	—	28	1	no	—
1448	C₂×C₈	—	7	1	no	—
1449	C₂×C₈	—	7	1	no	—
1450	C₂×C₈	—	7	1	no	—
1451	C₂×C₈	—	7	1	no	—
1452	C₂×C₈	—	7	1	no	—
1453	C₂×C₈	—	7	1	no	—
1454	C₂×C₈	—	7	1	no	—
1455	C₂×C₈	—	7	1	no	—
1456	C₂×C₈	—	14	2	no	—
1457	C₂×C₈	—	14	2	no	—
1458	C₂×C₈	—	14	2	no	—
1459	C₂×C₈	—	28	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	7	1	no	—
1472	C₄⋊C₄	—	7	1	no	—
1473	C₄⋊C₄	—	7	1	no	—
1474	C₄⋊C₄	—	7	1	no	—
1475	C₄⋊C₄	—	14	1	no	—
1476	C₄⋊C₄	—	14	1	no	—
1477	C₄⋊C₄	—	14	1	no	—
1478	C₄⋊C₄	—	14	1	no	—
1479	C₄⋊C₄	—	14	1	no	—
1480	C₄⋊C₄	—	14	1	no	—
1481	C₄⋊C₄	—	14	1	no	—
1482	C₄⋊C₄	—	14	1	no	—
1483	C₄⋊C₄	—	14	1	no	—
1484	C₄⋊C₄	—	14	1	no	—
1485	C₄⋊C₄	—	14	1	no	—
1486	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1487	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1488	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1489	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1495	C₄⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1497	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1498	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1499	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	14	1	no	—
1520	C₂²⋊C₄	—	14	1	no	—
1521	C₂²⋊C₄	—	14	1	no	—
1522	C₂²⋊C₄	—	14	1	no	—
1523	C₂²⋊C₄	—	14	1	no	—
1524	C₂²⋊C₄	—	14	1	no	—
1525	C₂²⋊C₄	—	14	1	no	—
1526	C₂²⋊C₄	—	14	1	no	—
1527	C₂²⋊C₄	—	14	1	no	—
1528	C₂²⋊C₄	—	14	1	no	—
1529	C₂²⋊C₄	—	14	1	no	—
1530	C₂²⋊C₄	—	14	1	no	—
1531	C₂²⋊C₄	—	14	1	no	—
1532	C₂²⋊C₄	—	14	1	no	—
1533	C₂²⋊C₄	—	14	1	no	—
1534	C₂²⋊C₄	—	14	1	no	—
1535	C₂²⋊C₄	—	14	1	no	—
1536	C₂²⋊C₄	—	14	1	no	—
1537	C₂²⋊C₄	—	14	1	no	—
1538	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1539	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1540	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1541	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1542	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1543	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1544	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1545	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1546	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1547	C₂²⋊C₄	C₂×C₂²⋊D₇	1	1	yes	characteristic
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	14	1	no	—
1552	C₄²	—	14	1	no	—
1553	C₄²	—	14	1	no	—
1554	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1555	C₄²	C₂×C₂²⋊D₇	1	1	yes	characteristic
1556	C₄²	C₂³×D₇	1	1	yes	characteristic
1557	C₄²	C₂³×D₇	1	1	yes	characteristic
1558	C₄²	C₂³×D₇	1	1	yes	characteristic
1559	C₄²	C₂³×D₇	1	1	yes	characteristic
1560	C₂×C₇	—	2	2	no	—
1561	C₂×C₇	—	4	1	no	—
1562	C₂×C₇	—	4	1	no	—
1563	C₂×C₇	—	4	2	no	—
1564	C₂×C₇	—	8	1	no	—
1565	C₂×C₇	—	8	1	no	—
1566	C₂×C₇	D₄×#41	1	1	yes	characteristic
1567	C₂×C₇	C₂×#576	1	1	yes	characteristic
1568	C₂×C₇	#3584	1	1	yes	characteristic
1569	D₇	—	4	2	no	—
1570	D₇	—	8	1	no	—
1571	D₇	—	8	1	no	—
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	4	2	no	—
1576	C₂³	—	4	2	no	—
1577	C₂³	—	4	2	no	—
1578	C₂³	—	8	1	no	—
1579	C₂³	—	8	1	no	—
1580	C₂³	—	8	1	no	—
1581	C₂³	—	14	1	no	—
1582	C₂³	—	14	1	no	—
1583	C₂³	—	14	1	no	—
1584	C₂³	—	28	2	no	—
1585	C₂³	—	28	2	no	—
1586	C₂³	—	28	2	no	—
1587	C₂³	—	56	1	no	—
1588	C₂³	—	56	1	no	—
1589	C₂³	—	56	1	no	—
1590	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1591	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1592	C₂³	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1593	Q₈	—	2	1	no	—
1594	Q₈	—	2	1	no	—
1595	Q₈	—	4	1	no	—
1596	Q₈	—	8	1	no	—
1597	Q₈	—	14	1	no	—
1598	Q₈	—	14	1	no	—
1599	Q₈	—	56	1	no	—
1600	D₄	—	2	2	no	—
1601	D₄	—	2	2	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	2	1	no	—
1605	D₄	—	2	1	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	4	1	no	—
1608	D₄	—	4	2	no	—
1609	D₄	—	4	2	no	—
1610	D₄	—	4	2	no	—
1611	D₄	—	4	2	no	—
1612	D₄	—	7	2	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	14	1	no	—
1619	D₄	—	14	1	no	—
1620	D₄	—	14	1	no	—
1621	D₄	—	14	1	no	—
1622	D₄	—	14	1	no	—
1623	D₄	—	28	2	no	—
1624	D₄	—	28	2	no	—
1625	D₄	—	28	2	no	—
1626	D₄	—	28	2	no	—
1627	D₄	—	56	1	no	—
1628	D₄	—	56	1	no	—
1629	D₄	—	56	1	no	—
1630	D₄	—	56	1	no	—
1631	D₄	—	56	1	no	—
1632	D₄	D₇×#41	1	2	yes	—
1633	C₂×C₄	—	2	2	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	4	1	no	—
1646	C₂×C₄	—	4	2	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	8	1	no	—
1649	C₂×C₄	—	8	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	8	1	no	—
1656	C₂×C₄	—	8	1	no	—
1657	C₂×C₄	—	14	1	no	—
1658	C₂×C₄	—	14	1	no	—
1659	C₂×C₄	—	14	1	no	—
1660	C₂×C₄	—	14	1	no	—
1661	C₂×C₄	—	14	1	no	—
1662	C₂×C₄	—	28	2	no	—
1663	C₂×C₄	—	28	2	no	—
1664	C₂×C₄	—	56	1	no	—
1665	C₂×C₄	—	56	1	no	—
1666	C₂×C₄	—	56	1	no	—
1667	C₂×C₄	—	56	1	no	—
1668	C₂×C₄	—	56	1	no	—
1669	C₂×C₄	—	56	1	no	—
1670	C₂×C₄	—	56	1	no	—
1671	C₂×C₄	—	56	1	no	—
1672	C₂×C₄	—	56	1	no	—
1673	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1674	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1675	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1676	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1677	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1678	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1679	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1680	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1681	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1682	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1683	C₂×C₄	C₂²×C₂²⋊D₇	1	1	yes	characteristic
1684	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1685	C₈	—	7	2	no	—
1686	C₈	—	14	1	no	—
1687	C₈	—	14	1	no	—
1688	C₈	—	14	1	no	—
1689	C₈	—	14	1	no	—
1690	C₈	—	14	1	no	—
1691	C₈	—	14	1	no	—
1692	C₈	—	14	1	no	—
1693	C₇	#61471	1	1	yes	characteristic, complemented, Sylow
1694	C₂²	—	2	1	no	—
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	2	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	2	1	no	—
1701	C₂²	—	2	1	no	—
1702	C₂²	—	2	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	4	1	no	—
1708	C₂²	—	4	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	8	4	no	—
1712	C₂²	—	14	2	no	—
1713	C₂²	—	16	2	no	—
1714	C₂²	—	28	1	no	—
1715	C₂²	—	28	1	no	—
1716	C₂²	—	28	1	no	—
1717	C₂²	—	28	1	no	—
1718	C₂²	—	28	1	no	—
1719	C₂²	—	28	1	no	—
1720	C₂²	—	28	1	no	—
1721	C₂²	—	28	1	no	—
1722	C₂²	—	56	4	no	—
1723	C₂²	—	112	2	no	—
1724	C₂²	#90526	1	2	yes	—
1725	C₂²	C₂³×C₂²⋊D₇	1	1	yes	characteristic
1726	C₄	—	2	1	no	—
1727	C₄	—	2	1	no	—
1728	C₄	—	2	1	no	—
1729	C₄	—	2	1	no	—
1730	C₄	—	2	1	no	—
1731	C₄	—	2	1	no	—
1732	C₄	—	2	1	no	—
1733	C₄	—	2	1	no	—
1734	C₄	—	2	1	no	—
1735	C₄	—	2	1	no	—
1736	C₄	—	2	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	28	1	no	—
1743	C₄	—	28	1	no	—
1744	C₄	—	28	1	no	—
1745	C₄	—	28	1	no	—
1746	C₄	—	28	1	no	—
1747	C₄	C₂×D₇×#41	1	1	yes	characteristic
1748	C₄	#90616	1	1	yes	characteristic
1749	C₂	—	2	2	no	—
1750	C₂	—	4	1	no	—
1751	C₂	—	4	1	no	—
1752	C₂	—	4	2	no	—
1753	C₂	—	8	1	no	—
1754	C₂	—	8	1	no	—
1755	C₂	—	28	2	no	—
1756	C₂	—	56	1	no	—
1757	C₂	—	56	1	no	—
1758	C₂	#41×C₂²⋊D₇	1	1	yes	characteristic
1759	C₂	C₂×#90526	1	1	yes	characteristic
1760	C₂	#11744365	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×#3513	C₂
socle	C₂²×C₇	C₂³×D₄
hypercenter	#3513	D₇
hypocenter	C₇	#61471
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3513

Complements

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

N	H ≅ G/N	type
1. C₇×#3513	C₂	semidirect
2. #11743229	C₂	semidirect
3. #11741165	C₂	semidirect
4. #11741159	C₂	semidirect
5. #11741084	C₂	semidirect
6. #11741073	C₂	semidirect
7. #11741062	C₂	semidirect
8. #11741052	C₂	semidirect
9. #11741044	C₂	semidirect
10. #11741035	C₂	semidirect
11. #11740971	C₂	semidirect
12. #11740961	C₂	semidirect
13. #11740950	C₂	semidirect
14. #11740950	C₂	semidirect
15. #11740945	C₂	semidirect
16. #11740941	C₂	semidirect
17. D₄×#1141	C₂	semidirect
18. #11740929	C₂	semidirect
19. #11740905	C₂	semidirect
20. #11740902	C₂	semidirect
21. #11740879	C₂	semidirect
22. #11740877	C₂	semidirect
23. #11740588	C₂	semidirect
24. #11740579	C₂	semidirect
25. #11740571	C₂	semidirect
26. #11740013	C₂	semidirect
27. #11740002	C₂	semidirect
28. #11739986	C₂	semidirect
29. #11739983	C₂	semidirect
30. #11739756	C₂	semidirect
31. C₂×C₄×#1141	C₂	semidirect
32. C₇×#559	C₂²	semidirect
33. C₇×#554	C₂²	semidirect
35. C₇×#553	C₂²	semidirect
39. C₇×#547	C₂²	semidirect
41. C₇×#546	C₂²	semidirect
42. C₇×#546	C₂²	semidirect
44. C₇×#542	C₂²	semidirect
45. C₇×#540	C₂²	semidirect
49. C₇×#529	C₂²	semidirect
52. C₇×#520	C₂²	semidirect
53. C₇×#518	C₂²	semidirect
54. C₂×C₄×C₇×D₄	C₂²	semidirect
66. #90276	C₂²	semidirect
67. #90270	C₂²	semidirect
68. #90256	C₂²	semidirect
69. #90246	C₂²	semidirect
70. #90241	C₂²	semidirect
71. #90241	C₂²	semidirect
74. #90226	C₂²	semidirect
75. #90225	C₂²	semidirect
76. #90214	C₂²	semidirect
77. #90212	C₂²	semidirect
78. #90170	C₂²	semidirect
79. C₂×C₄×D₂₈	C₂²	semidirect
80. #90010	C₂²	semidirect
81. #90010	C₂²	semidirect
82. #90004	C₂²	semidirect
83. #89990	C₂²	semidirect
84. #89990	C₂²	semidirect
87. #89987	C₂²	semidirect
88. C₂×#6406	C₂²	semidirect
89. #89861	C₂²	semidirect
90. #89859	C₂²	semidirect
91. #89856	C₂²	semidirect
92. #89850	C₂²	semidirect
93. #89847	C₂²	semidirect
96. #89843	C₂²	semidirect
97. #89840	C₂²	semidirect
98. #89839	C₂²	semidirect
99. #89838	C₂²	semidirect
100. #89838	C₂²	semidirect
101. #89838	C₂²	semidirect
102. #89836	C₂²	semidirect
103. #89836	C₂²	semidirect
104. #89835	C₂²	semidirect
105. #89831	C₂²	semidirect
106. #89831	C₂²	semidirect
107. #89829	C₂²	semidirect
108. #89829	C₂²	semidirect
109. #89829	C₂²	semidirect
110. #89829	C₂²	semidirect
111. #89828	C₂²	semidirect
112. #89827	C₂²	semidirect
113. #89823	C₂²	semidirect
114. #89823	C₂²	semidirect
115. #89821	C₂²	semidirect
116. #89820	C₂²	semidirect
117. #89818	C₂²	semidirect
118. #89818	C₂²	semidirect
119. #89817	C₂²	semidirect
120. #89815	C₂²	semidirect
121. #89814	C₂²	semidirect
122. #89813	C₂²	semidirect
123. #89811	C₂²	semidirect
124. #89811	C₂²	semidirect
127. #89810	C₂²	semidirect
128. #89810	C₂²	semidirect
129. #89809	C₂²	semidirect
130. #89809	C₂²	semidirect
133. #89807	C₂²	semidirect
134. #89806	C₂²	semidirect
135. #89805	C₂²	semidirect
136. #89805	C₂²	semidirect
137. C₄×#1144	C₂²	semidirect
138. C₄×#1144	C₂²	semidirect
139. #89799	C₂²	semidirect
140. #89798	C₂²	semidirect
141. #89798	C₂²	semidirect
142. #89798	C₂²	semidirect
143. C₄×#1143	C₂²	semidirect
144. #89796	C₂²	semidirect
145. Q₈×C₇⋊C₈	C₂²	semidirect
146. #89794	C₂²	semidirect
147. #89790	C₂²	semidirect
148. #89790	C₂²	semidirect
149. #89790	C₂²	semidirect
150. C₄×#1142	C₂²	semidirect
151. #89788	C₂²	semidirect
152. #89788	C₂²	semidirect
153. #89788	C₂²	semidirect
154. #89788	C₂²	semidirect
156. #89786	C₂²	semidirect
157. #89786	C₂²	semidirect
158. #89786	C₂²	semidirect
159. #89786	C₂²	semidirect
160. #89786	C₂²	semidirect
161. #89786	C₂²	semidirect
166. C₄×#1141	C₂²	semidirect
167. C₄×#1141	C₂²	semidirect
168. C₄×#1141	C₂²	semidirect
169. C₄×#1141	C₂²	semidirect
170. C₄×#1141	C₂²	semidirect
171. C₄×#1141	C₂²	semidirect
172. C₄×#1141	C₂²	semidirect
173. C₄×#1141	C₂²	semidirect
174. #89784	C₂²	semidirect
176. #89783	C₂²	semidirect
178. D₄×C₇⋊C₈	C₂²	semidirect
179. D₄×C₇⋊C₈	C₂²	semidirect
180. #89781	C₂²	semidirect
181. #89781	C₂²	semidirect
182. #89781	C₂²	semidirect
183. #89780	C₂²	semidirect
184. #89779	C₂²	semidirect
185. #89775	C₂²	semidirect
186. #89773	C₂²	semidirect
187. #89772	C₂²	semidirect
188. #89772	C₂²	semidirect
189. #89770	C₂²	semidirect
190. #89769	C₂²	semidirect
191. #89769	C₂²	semidirect
192. #89768	C₂²	semidirect
193. #89743	C₂²	semidirect
194. #89740	C₂²	semidirect
195. #89739	C₂²	semidirect
196. #89739	C₂²	semidirect
197. #89738	C₂²	semidirect
198. C₂×#6383	C₂²	semidirect
199. C₂×#6381	C₂²	semidirect
200. C₂×#6381	C₂²	semidirect
201. #89698	C₂²	semidirect
202. C₂×C₄×C₇⋊C₈	C₂²	semidirect
483. #3513	D₇	semidirect
675. #1141	#41	semidirect
728. #559	C₂×D₇	semidirect
730. #554	C₂×D₇	semidirect
734. #553	C₂×D₇	semidirect
742. #547	C₂×D₇	semidirect
747. #546	C₂×D₇	semidirect
748. #546	C₂×D₇	semidirect
752. #542	C₂×D₇	semidirect
754. #540	C₂×D₇	semidirect
761. #529	C₂×D₇	semidirect
767. #520	C₂×D₇	semidirect
769. #518	C₂×D₇	semidirect
771. C₂×C₄×D₄	C₂×D₇	semidirect
1693. C₇	#61471	semidirect

Maximal subgroups

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

subgroup	index
C₇×#3513	2
#11743229	2
#11741165	2
#11741159	2
#11741084	2
#11741073	2
#11741062	2
#11741052	2
#11741044	2
#11741035	2
#11740971	2
#11740961	2
#11740950	2
#11740945	2
#11740941	2
D₄×#1141	2
#11740929	2
#11740905	2
#11740902	2
#11740879	2
#11740877	2
#11740588	2
#11740579	2
#11740571	2
#11740013	2
#11740002	2
#11739986	2
#11739983	2
#11739756	2
C₂×C₄×#1141	2
#61471	7