Subgroups — #14218937

Order 1792.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11742904	C₂	1	1	yes	maximal, characteristic
2	C₇×#2990	C₂	1	1	yes	maximal, characteristic, complemented
3	#11739967	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737406	C₂	1	2	yes	maximal, complemented
5	#11737391	C₂	1	2	yes	maximal, complemented
6	#11736929	C₂	1	2	yes	maximal, complemented
7	#11736923	C₂	1	2	yes	maximal, complemented
8	#11736911	C₂	1	2	yes	maximal, complemented
9	#11736909	C₂	1	2	yes	maximal, complemented
10	#11736866	C₂	1	2	yes	maximal, complemented
11	#11736854	C₂	1	2	yes	maximal, complemented
12	#11736785	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736784	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736779	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736776	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736736	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736730	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736495	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736494	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736460	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736458	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736457	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×D₇×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₇×#41	C₂²	1	1	yes	characteristic
25	#90523	C₄	1	1	yes	characteristic
26	#90519	C₄	1	1	yes	characteristic
27	C₂×#6470	C₂²	1	2	yes	—
28	C₂×#6464	C₂²	1	2	yes	—
29	C₂²×C₈×D₇	C₂²	1	2	yes	—
30	#90271	C₄	1	1	yes	characteristic
31	#90271	C₂²	1	1	yes	characteristic
32	#90269	C₄	1	1	yes	characteristic
33	#90269	C₂²	1	1	yes	characteristic
34	#90248	C₄	1	1	yes	characteristic
35	#90248	C₂²	1	1	yes	characteristic
36	#90239	C₄	1	1	yes	characteristic
37	#90239	C₂²	1	1	yes	characteristic
38	#90238	C₄	1	1	yes	characteristic
39	#90238	C₄	1	1	yes	characteristic
40	#90238	C₂²	1	1	yes	characteristic
41	#90238	C₂²	1	1	yes	characteristic
42	#90229	C₄	1	1	yes	characteristic
43	#90229	C₄	1	1	yes	characteristic
44	#90229	C₂²	1	1	yes	characteristic
45	#90229	C₂²	1	1	yes	characteristic
46	#90219	C₄	1	1	yes	characteristic
47	#90219	C₄	1	1	yes	characteristic
48	#90219	C₄	1	1	yes	characteristic
49	#90219	C₄	1	1	yes	characteristic
50	#90215	C₄	1	1	yes	characteristic
51	#90208	C₄	1	1	yes	characteristic
52	C₄×#1157	C₂²	1	1	yes	characteristic
53	C₄×#1157	C₂²	1	1	yes	characteristic
54	C₄×#1157	C₂²	1	1	yes	characteristic
55	C₄×#1157	C₂²	1	1	yes	characteristic
56	C₄×#1157	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₇	C₂²	1	1	yes	characteristic
58	C₇×#446	C₂²	1	2	yes	complemented
59	C₇×#435	C₂²	1	2	yes	—
60	C₇×#435	C₂²	1	2	yes	complemented
61	C₇×C₈×D₄	C₂²	1	2	yes	—
62	C₇×#432	C₂²	1	1	yes	characteristic
63	C₇×#432	C₂²	1	1	yes	characteristic, complemented
64	C₇×#431	C₂²	1	1	yes	characteristic, complemented
65	C₇×#423	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
67	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
68	#89900	C₂²	1	2	yes	complemented
69	#89899	C₂²	1	2	yes	—
70	#89891	C₂²	1	2	yes	complemented
71	#89883	C₂²	1	2	yes	—
72	C₈×C₂²⋊D₇	C₂²	1	2	yes	—
73	C₈×C₂²⋊D₇	C₂²	1	2	yes	—
74	C₈×C₂²⋊D₇	C₂²	1	2	yes	complemented
75	#89874	C₂²	1	2	yes	complemented
76	C₂×Dic₇⋊C₈	C₂²	1	2	yes	—
77	#89796	C₂²	1	2	yes	complemented
78	#89783	C₂²	1	2	yes	—
79	#89783	C₂²	1	2	yes	complemented
80	D₄×C₇⋊C₈	C₂²	1	2	yes	—
81	#89698	C₂²	1	1	yes	characteristic
82	#89698	C₂²	1	1	yes	characteristic, complemented
83	#89697	C₂²	1	1	yes	characteristic, complemented
84	#89696	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic
86	C₂×C₄⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
87	#89611	C₂²	1	2	yes	—
88	#89611	C₂²	1	2	yes	—
89	#89611	C₂²	1	2	yes	complemented
90	#89611	C₂²	1	2	yes	complemented
91	#89609	C₂²	1	1	yes	characteristic
92	#89609	C₂²	1	1	yes	characteristic
93	#89609	C₂²	1	1	yes	characteristic, complemented
94	#89609	C₂²	1	1	yes	characteristic, complemented
95	#89608	C₂²	1	2	yes	—
96	#89608	C₂²	1	2	yes	complemented
97	#89607	C₂²	1	1	yes	characteristic, complemented
98	#89607	C₂²	1	1	yes	characteristic, complemented
99	#89606	C₂²	1	2	yes	—
100	#89605	C₂²	1	1	yes	characteristic
101	#89605	C₂²	1	1	yes	characteristic
102	#89605	C₂²	1	1	yes	characteristic, complemented
103	#89605	C₂²	1	1	yes	characteristic, complemented
104	D₇×C₄⋊C₈	C₂²	1	2	yes	—
105	D₇×C₄⋊C₈	C₂²	1	2	yes	—
106	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
107	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
108	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
109	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
110	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
111	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
112	#89602	C₂²	1	2	yes	complemented
113	#89600	C₂²	1	2	yes	complemented
114	#89600	C₂²	1	2	yes	complemented
115	#89502	C₂²	1	2	yes	—
116	#89501	C₂²	1	2	yes	complemented
117	#89500	C₂²	1	2	yes	—
118	#89499	C₂²	1	2	yes	—
119	#89499	C₂²	1	2	yes	—
120	#89498	C₂²	1	2	yes	—
121	(C₂²⋊D₇)⋊C₈	C₂²	1	2	yes	—
122	(C₂²⋊D₇)⋊C₈	C₂²	1	2	yes	—
123	(C₂²⋊D₇)⋊C₈	C₂²	1	2	yes	complemented
124	#89492	C₂²	1	2	yes	complemented
125	#89492	C₂²	1	2	yes	complemented
126	#89490	C₂²	1	2	yes	—
127	#89481	C₂²	1	2	yes	complemented
128	#89480	C₂²	1	2	yes	—
129	#89479	C₂²	1	2	yes	—
130	#89478	C₂²	1	2	yes	—
131	#89478	C₂²	1	2	yes	complemented
132	#89477	C₂²	1	2	yes	—
133	#89473	C₂²	1	2	yes	complemented
134	#89473	C₂²	1	2	yes	complemented
135	#89462	C₂²	1	2	yes	complemented
136	#89461	C₂²	1	2	yes	—
137	C₈×D₂₈	C₂²	1	2	yes	—
138	C₈×Dic₁₄	C₂²	1	2	yes	complemented
139	#60265	—	7	1	no	maximal, Sylow
140	C₂×C₇×#41	C₂×C₄	1	1	yes	characteristic
141	C₂×#1157	C₂×C₄	1	1	yes	characteristic
142	C₂×#1157	C₂×C₄	1	1	yes	characteristic
143	C₂×#1157	C₂×C₄	1	1	yes	characteristic
144	C₂×#1157	C₂³	1	1	yes	characteristic
145	C₂×#1157	C₂³	1	1	yes	characteristic
146	C₂²×C₄×D₇	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₇	C₂×C₄	1	1	yes	characteristic
148	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
149	C₂×C₇×M₁₆	C₂³	1	2	yes	—
150	C₂²×C₇×C₈	C₂³	1	2	yes	—
151	C₂²×C₇×C₈	C₂³	1	2	yes	—
152	C₄×C₇×Q₈	C₂×C₄	1	1	yes	characteristic
153	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
154	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
155	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
156	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
157	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
158	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
159	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
160	C₇×#117	C₂×C₄	1	1	yes	characteristic
161	C₇×#117	C₂×C₄	1	1	yes	characteristic
162	C₇×#117	C₂×C₄	1	1	yes	characteristic
163	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
165	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
166	#6510	C₂×C₄	1	1	yes	characteristic
167	#6509	C₂×C₄	1	1	yes	characteristic
168	#6509	C₂×C₄	1	1	yes	characteristic
169	#6507	C₂×C₄	1	1	yes	characteristic
170	#6503	C₂×C₄	1	1	yes	characteristic
171	#6502	C₂×C₄	1	1	yes	characteristic
172	#6502	C₂×C₄	1	1	yes	characteristic
173	#6502	C₂×C₄	1	1	yes	characteristic
174	#6502	C₂×C₄	1	1	yes	characteristic
175	#6501	C₂×C₄	1	1	yes	characteristic
176	#6501	C₂×C₄	1	1	yes	characteristic
177	#6500	C₂×C₄	1	1	yes	characteristic
178	#6500	C₂×C₄	1	1	yes	characteristic
179	#6499	C₂×C₄	1	1	yes	characteristic
180	#6498	C₂×C₄	1	1	yes	characteristic
181	#6498	C₂×C₄	1	1	yes	characteristic
182	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
183	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
184	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
185	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
186	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
188	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
189	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
196	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
197	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
198	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
201	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
202	#6489	C₂×C₄	1	1	yes	characteristic
203	#6489	C₂×C₄	1	1	yes	characteristic
204	#6489	C₂×C₄	1	1	yes	characteristic
205	#6489	C₂³	1	1	yes	characteristic
206	#6489	C₂³	1	1	yes	characteristic
207	C₂×C₄×Dic₇	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄×Dic₇	C₂×C₄	1	1	yes	characteristic
209	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
210	C₂×#1136	C₂³	1	2	yes	—
211	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
212	C₂²×C₇⋊C₈	C₂³	1	2	yes	—
213	#6470	—	4	4	no	—
214	#6464	—	4	4	no	—
215	C₂×#1131	C₂³	1	2	yes	—
216	C₂×#1131	C₂³	1	2	yes	—
217	C₂×#1131	C₂³	1	2	yes	—
218	C₂×#1131	C₂³	1	2	yes	—
219	C₂×C₈×D₇	—	4	4	no	—
220	C₂×C₈×D₇	C₂³	1	2	yes	—
221	C₂×C₈×D₇	C₂³	1	2	yes	—
222	C₂×C₈×D₇	C₂³	1	2	yes	—
223	C₂×C₈×D₇	C₂³	1	2	yes	—
224	C₂×C₈×D₇	C₂³	1	2	yes	—
225	C₂×C₈×D₇	C₂³	1	2	yes	—
226	#6461	C₂×C₄	1	1	yes	characteristic
227	#6461	C₂×C₄	1	1	yes	characteristic
228	#6461	C₂×C₄	1	1	yes	characteristic
229	#6461	C₂×C₄	1	1	yes	characteristic
230	#6460	C₂×C₄	1	1	yes	characteristic
231	#6460	C₂×C₄	1	1	yes	characteristic
232	#6459	C₂×C₄	1	1	yes	characteristic
233	#6459	C₂×C₄	1	1	yes	characteristic
234	#6459	C₂×C₄	1	1	yes	characteristic
235	#6459	C₂×C₄	1	1	yes	characteristic
236	#6458	C₂×C₄	1	1	yes	characteristic
237	#6458	C₂×C₄	1	1	yes	characteristic
238	#6457	C₂×C₄	1	1	yes	characteristic
239	#6457	C₂×C₄	1	1	yes	characteristic
240	#6457	C₂×C₄	1	1	yes	characteristic
241	#6457	C₂×C₄	1	1	yes	characteristic
242	#6453	C₂×C₄	1	1	yes	characteristic
243	#6453	C₂×C₄	1	1	yes	characteristic
244	#6452	C₂×C₄	1	1	yes	characteristic
245	#6452	C₂×C₄	1	1	yes	characteristic
246	#6452	C₂×C₄	1	1	yes	characteristic
247	#6452	C₂×C₄	1	1	yes	characteristic
248	#6451	C₂×C₄	1	1	yes	characteristic
249	#6451	C₂×C₄	1	1	yes	characteristic
250	#6449	C₂×C₄	1	1	yes	characteristic
251	#6449	C₂×C₄	1	1	yes	characteristic
252	#6448	C₂×C₄	1	1	yes	characteristic
253	#6448	C₂×C₄	1	1	yes	characteristic
254	#6448	C₂×C₄	1	1	yes	characteristic
255	#6448	C₂×C₄	1	1	yes	characteristic
256	#6447	C₂×C₄	1	1	yes	characteristic
257	#6447	C₂×C₄	1	1	yes	characteristic
258	#6447	C₂×C₄	1	1	yes	characteristic
259	#6447	C₂×C₄	1	1	yes	characteristic
260	#6446	C₂×C₄	1	1	yes	characteristic
261	#6446	C₂×C₄	1	1	yes	characteristic
262	#6446	C₂×C₄	1	1	yes	characteristic
263	#6446	C₂×C₄	1	1	yes	characteristic
264	#6445	C₂×C₄	1	1	yes	characteristic
265	#6445	C₂×C₄	1	1	yes	characteristic
266	#6442	C₂×C₄	1	1	yes	characteristic
267	#6442	C₂×C₄	1	1	yes	characteristic
268	#6442	C₂×C₄	1	1	yes	characteristic
269	#6442	C₂×C₄	1	1	yes	characteristic
270	#6441	C₂×C₄	1	1	yes	characteristic
271	#6441	C₂×C₄	1	1	yes	characteristic
272	#6441	C₂×C₄	1	1	yes	characteristic
273	#6441	C₂×C₄	1	1	yes	characteristic
274	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
275	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
276	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
277	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
278	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
279	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
280	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
281	C₄×D₂₈	C₂³	1	1	yes	characteristic
282	C₄×D₂₈	C₂³	1	1	yes	characteristic
283	C₄×D₂₈	C₂³	1	1	yes	characteristic
284	#6435	C₂×C₄	1	1	yes	characteristic
285	#6435	C₂×C₄	1	1	yes	characteristic
286	#6435	C₂×C₄	1	1	yes	characteristic
287	#6435	C₂×C₄	1	1	yes	characteristic
288	#6435	C₂×C₄	1	1	yes	characteristic
289	#6435	C₂×C₄	1	1	yes	characteristic
290	#6435	C₂³	1	1	yes	characteristic
291	#6435	C₂³	1	1	yes	characteristic
292	#6435	C₂³	1	1	yes	characteristic
293	#6435	C₂³	1	1	yes	characteristic
294	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
295	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
296	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
297	C₄²×D₇	C₂×C₄	1	1	yes	characteristic
298	C₄²×D₇	C₂³	1	1	yes	characteristic
299	C₄²×D₇	C₂³	1	1	yes	characteristic
300	C₄²×D₇	C₂³	1	1	yes	characteristic
301	C₄²×D₇	C₂³	1	1	yes	characteristic
302	C₄²×D₇	C₂³	1	1	yes	characteristic
303	C₄²×D₇	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
307	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
308	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
309	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
310	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
311	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
312	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
313	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
314	C₇×C₄⋊C₈	C₂³	1	2	yes	—
315	C₇×C₄⋊C₈	C₂³	1	2	yes	—
316	C₇×C₄⋊C₈	C₂³	1	2	yes	—
317	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
319	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
321	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
322	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
323	C₇×C₂²⋊C₈	C₂³	1	2	yes	—
324	C₇×#97	C₂³	1	2	yes	—
325	C₇×#97	C₂³	1	2	yes	—
326	C₄×C₇×C₈	C₂³	1	2	yes	—
327	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
328	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
329	C₂²⋊(C₇⋊C₈)	C₂³	1	2	yes	—
330	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
331	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
332	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
333	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
334	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
335	(C₂×D₇)⋊C₈	C₂³	1	2	yes	—
336	#6389	C₂³	1	2	yes	—
337	#6389	C₂³	1	2	yes	—
338	Dic₇⋊C₈	C₂³	1	2	yes	—
339	Dic₇⋊C₈	C₂³	1	2	yes	—
340	Dic₇⋊C₈	C₂³	1	2	yes	—
341	Dic₇⋊C₈	C₂³	1	2	yes	—
342	Dic₇⋊C₈	C₂³	1	2	yes	—
343	Dic₇⋊C₈	C₂³	1	2	yes	—
344	Dic₇⋊C₈	C₂³	1	2	yes	—
345	Dic₇⋊C₈	C₂³	1	2	yes	—
346	Dic₇⋊C₈	C₂³	1	2	yes	—
347	Dic₇⋊C₈	C₂³	1	2	yes	—
348	C₈×Dic₇	C₂³	1	2	yes	—
349	C₈×Dic₇	C₂³	1	2	yes	—
350	C₈×Dic₇	C₂³	1	2	yes	—
351	C₈×Dic₇	C₂³	1	2	yes	—
352	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
353	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
354	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
355	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
356	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
357	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
358	C₄⋊(C₇⋊C₈)	C₂³	1	2	yes	—
359	#6377	C₂³	1	2	yes	—
360	#6377	C₂³	1	2	yes	—
361	C₄×C₇⋊C₈	C₂³	1	2	yes	—
362	#3444	—	7	1	no	—
363	#2994	—	7	2	no	—
364	#2994	—	7	2	no	—
365	#2992	—	7	2	no	—
366	#2992	—	7	2	no	—
367	#2990	—	7	1	no	—
368	#2990	—	7	1	no	—
369	#2990	—	7	1	no	—
370	#2990	D₇	1	1	yes	characteristic, complemented
371	#2989	—	7	1	no	—
372	#2989	—	7	1	no	—
373	#2988	—	7	1	no	—
374	#2988	—	7	1	no	—
375	#2962	—	7	2	no	—
376	#2935	—	7	2	no	—
377	#2929	—	7	2	no	—
378	#2929	—	7	2	no	—
379	#2925	—	7	1	no	—
380	#2925	—	7	1	no	—
381	#2920	—	7	1	no	—
382	#2906	—	7	1	no	—
383	#2906	—	7	1	no	—
384	C₂²×C₄⋊C₈	—	7	1	no	—
385	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
386	C₇×#41	—	4	2	no	—
387	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
388	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
389	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
390	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
391	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
392	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
393	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
394	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
395	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
396	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
397	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
401	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
403	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
410	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
411	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
412	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
413	#1157	—	2	4	no	—
414	#1157	—	2	4	no	—
415	#1157	—	2	2	no	—
416	#1157	—	2	2	no	—
417	#1157	—	2	2	no	—
418	#1157	—	2	2	no	—
419	#1157	—	4	2	no	—
420	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
421	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
422	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
423	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
424	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
425	C₂×C₄×D₇	—	2	4	no	—
426	C₂×C₄×D₇	—	2	2	no	—
427	C₂×C₄×D₇	—	2	2	no	—
428	C₂×C₄×D₇	—	4	2	no	—
429	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
430	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
431	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
432	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
433	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
434	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
435	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
436	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
437	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
438	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
439	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
440	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
441	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
442	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
443	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
444	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
445	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
446	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
447	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
448	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
449	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
450	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
451	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
452	C₇×M₁₆	—	4	2	no	—
453	C₂×C₇×C₈	—	4	2	no	—
454	C₂×C₇×C₈	—	4	2	no	—
455	C₂×C₇×C₈	C₂⁴	1	2	yes	—
456	C₂×C₇×C₈	C₂⁴	1	2	yes	—
457	C₂×C₇×C₈	C₂⁴	1	2	yes	—
458	C₂×C₇×C₈	C₂⁴	1	2	yes	—
459	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
460	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
461	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
462	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
463	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
464	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
465	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
466	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
469	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
470	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
471	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
472	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
473	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
474	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
475	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
476	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
477	C₄²×C₇	C₂⁴	1	1	yes	characteristic
478	C₄²×C₇	C₂⁴	1	1	yes	characteristic
479	C₄²×C₇	C₂⁴	1	1	yes	characteristic
480	C₄²×C₇	C₂⁴	1	1	yes	characteristic
481	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
482	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
483	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
484	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
485	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
486	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
487	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
488	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
489	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
490	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
491	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
492	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
493	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
494	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
495	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
496	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
497	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
498	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
500	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
501	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
502	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
503	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
504	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
505	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
506	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
507	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
508	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
509	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
510	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
511	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
512	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
513	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
514	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
515	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
516	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
517	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
518	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
519	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
520	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
521	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
522	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
523	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
524	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
539	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
540	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
541	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
542	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
543	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
544	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
545	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
546	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
547	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
548	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
549	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
550	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
551	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
552	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
553	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
554	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
555	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
556	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
557	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
558	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
559	#1136	—	4	2	no	—
560	C₂×C₇⋊C₈	—	4	2	no	—
561	C₂×C₇⋊C₈	—	4	2	no	—
562	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
563	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
564	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
565	C₂×C₇⋊C₈	C₂⁴	1	2	yes	—
566	#1131	—	2	4	no	—
567	#1131	—	2	4	no	—
568	#1131	—	4	2	no	—
569	#1131	—	4	2	no	—
570	C₈×D₇	—	2	4	no	—
571	C₈×D₇	—	2	4	no	—
572	C₈×D₇	—	4	2	no	—
573	C₈×D₇	—	4	2	no	—
574	C₈×D₇	—	4	2	no	—
575	C₈×D₇	—	4	2	no	—
576	C₂×#131	—	7	2	no	—
577	C₂×#131	—	7	2	no	—
578	C₂³×C₈	—	7	2	no	—
579	#533	—	7	1	no	—
580	#533	—	7	1	no	—
581	#533	—	7	1	no	—
582	#532	—	7	1	no	—
583	#532	—	7	1	no	—
584	#532	—	7	1	no	—
585	#529	—	7	1	no	—
586	#529	—	7	1	no	—
587	#529	—	7	1	no	—
588	#529	—	7	1	no	—
589	#529	—	7	1	no	—
590	#529	—	7	1	no	—
591	#529	—	7	1	no	—
592	#529	—	7	1	no	—
593	#529	—	7	1	no	—
594	#529	—	7	1	no	—
595	#529	—	7	1	no	—
596	#529	—	7	1	no	—
597	#525	—	7	1	no	—
598	#525	—	7	1	no	—
599	#525	—	7	1	no	—
600	#525	—	7	1	no	—
601	#525	—	7	1	no	—
602	#525	—	7	1	no	—
603	C₄×#41	—	7	1	no	—
604	C₄×#41	—	7	1	no	—
605	C₄×#41	—	7	1	no	—
606	C₄×#41	—	7	1	no	—
607	C₄×#41	—	7	1	no	—
608	C₄×#41	C₂×D₇	1	1	yes	characteristic
609	C₂²×C₄²	—	7	1	no	—
610	#446	—	7	2	no	—
611	#446	—	7	2	no	—
612	#446	—	7	2	no	—
613	#446	—	7	2	no	—
614	#446	—	7	2	no	—
615	#446	C₂×D₇	1	2	yes	complemented
616	C₈×Q₈	—	7	2	no	—
617	C₈×Q₈	—	7	2	no	—
618	#436	—	7	2	no	—
619	#436	—	7	2	no	—
620	#435	—	7	2	no	—
621	#435	—	7	2	no	—
622	#435	—	7	2	no	—
623	#435	—	7	2	no	—
624	#435	—	7	2	no	—
625	#435	—	7	2	no	—
626	#435	—	7	2	no	—
627	#435	—	7	2	no	—
628	#435	—	7	2	no	—
629	#435	—	7	2	no	—
630	#435	C₂×D₇	1	2	yes	—
631	#435	C₂×D₇	1	2	yes	complemented
632	C₈×D₄	—	7	2	no	—
633	C₈×D₄	—	7	2	no	—
634	C₈×D₄	—	7	2	no	—
635	C₈×D₄	—	7	2	no	—
636	C₈×D₄	—	7	2	no	—
637	C₈×D₄	—	7	2	no	—
638	C₈×D₄	—	7	2	no	—
639	C₈×D₄	—	7	2	no	—
640	C₈×D₄	—	7	2	no	—
641	C₈×D₄	C₂×D₇	1	2	yes	—
642	#433	—	7	2	no	—
643	#433	—	7	2	no	—
644	#433	—	7	2	no	—
645	#433	—	7	2	no	—
646	#432	—	7	1	no	—
647	#432	—	7	1	no	—
648	#432	—	7	1	no	—
649	#432	—	7	1	no	—
650	#432	—	7	2	no	—
651	#432	C₂×D₇	1	1	yes	characteristic
652	#432	C₂×D₇	1	1	yes	characteristic, complemented
653	#431	—	7	1	no	—
654	#431	—	7	1	no	—
655	#431	—	7	1	no	—
656	#431	—	7	1	no	—
657	#431	—	7	1	no	—
658	#431	—	7	2	no	—
659	#431	C₂×D₇	1	1	yes	characteristic, complemented
660	#424	—	7	2	no	—
661	#424	—	7	2	no	—
662	#424	—	7	2	no	—
663	#424	—	7	2	no	—
664	#424	—	7	2	no	—
665	#424	—	7	2	no	—
666	#423	—	7	1	no	—
667	#423	—	7	1	no	—
668	#423	—	7	1	no	—
669	#423	—	7	1	no	—
670	#423	—	7	1	no	—
671	#423	C₂×D₇	1	1	yes	characteristic, complemented
672	C₂×C₄⋊C₈	—	7	2	no	—
673	C₂×C₄⋊C₈	—	7	1	no	—
674	C₂×C₄⋊C₈	—	7	1	no	—
675	C₂×C₄⋊C₈	—	7	1	no	—
676	C₂×C₄⋊C₈	—	7	1	no	—
677	C₂×C₄⋊C₈	—	7	2	no	—
678	C₂×C₄⋊C₈	—	7	1	no	—
679	C₂×C₄⋊C₈	—	7	1	no	—
680	C₂×C₄⋊C₈	—	7	2	no	—
681	C₂×C₄⋊C₈	—	7	1	no	—
682	C₂×C₄⋊C₈	—	7	1	no	—
683	C₂×C₄⋊C₈	C₂×D₇	1	1	yes	characteristic
684	C₂×C₄⋊C₈	C₂×D₇	1	1	yes	characteristic, complemented
685	#408	—	7	2	no	—
686	#408	—	7	2	no	—
687	#407	—	7	2	no	—
688	#405	—	7	2	no	—
689	#405	—	7	2	no	—
690	C₄×M₁₆	—	7	2	no	—
691	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
692	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
693	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
694	C₂²×D₇	—	2	2	no	—
695	C₂²×D₇	—	2	2	no	—
696	C₂²×D₇	—	2	2	no	—
697	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
698	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
699	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
700	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
701	C₇×Q₈	—	4	1	no	—
702	C₇×D₄	—	2	2	no	—
703	C₇×D₄	—	2	2	no	—
704	C₇×D₄	—	4	1	no	—
705	C₂×C₄×C₇	—	2	2	no	—
706	C₂×C₄×C₇	—	2	2	no	—
707	C₂×C₄×C₇	—	2	2	no	—
708	C₂×C₄×C₇	—	2	2	no	—
709	C₂×C₄×C₇	—	2	1	no	—
710	C₂×C₄×C₇	—	2	1	no	—
711	C₂×C₄×C₇	—	2	1	no	—
712	C₂×C₄×C₇	—	2	1	no	—
713	C₂×C₄×C₇	—	2	1	no	—
714	C₂×C₄×C₇	—	2	1	no	—
715	C₂×C₄×C₇	—	4	1	no	—
716	C₂×C₄×C₇	—	4	1	no	—
717	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
718	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
723	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
724	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
725	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
726	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
727	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
728	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
729	C₂²⋊D₇	—	2	2	no	—
730	C₂²⋊D₇	—	2	2	no	—
731	C₂²⋊D₇	—	2	2	no	—
732	C₂²⋊D₇	—	2	2	no	—
733	C₂²⋊D₇	—	2	2	no	—
734	C₂²⋊D₇	—	2	2	no	—
735	C₂²⋊D₇	—	2	2	no	—
736	C₂²⋊D₇	—	2	2	no	—
737	C₂²⋊D₇	—	2	2	no	—
738	C₂²⋊D₇	—	2	2	no	—
739	C₂×Dic₇	—	2	2	no	—
740	C₂×Dic₇	—	2	2	no	—
741	C₂×Dic₇	—	2	2	no	—
742	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
743	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
745	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
746	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
747	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
748	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
749	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
750	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
751	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
752	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
754	D₂₈	—	2	2	no	—
755	D₂₈	—	2	2	no	—
756	D₂₈	—	2	2	no	—
757	D₂₈	—	2	2	no	—
758	D₂₈	—	4	1	no	—
759	C₄×D₇	—	2	2	no	—
760	C₄×D₇	—	2	2	no	—
761	C₄×D₇	—	2	2	no	—
762	C₄×D₇	—	2	2	no	—
763	C₄×D₇	—	2	2	no	—
764	C₄×D₇	—	2	1	no	—
765	C₄×D₇	—	2	1	no	—
766	C₄×D₇	—	2	1	no	—
767	C₄×D₇	—	2	1	no	—
768	C₄×D₇	—	2	1	no	—
769	C₄×D₇	—	2	1	no	—
770	C₄×D₇	—	2	2	no	—
771	C₄×D₇	—	2	2	no	—
772	C₄×D₇	—	4	1	no	—
773	C₄×D₇	—	4	1	no	—
774	C₄×D₇	—	4	1	no	—
775	C₄×D₇	—	4	1	no	—
776	C₄×D₇	—	4	1	no	—
777	C₄×D₇	—	4	1	no	—
778	C₄×D₇	#131	1	4	yes	complemented
779	C₄×D₇	H(5,𝔽₂)	1	2	yes	—
780	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
781	Dic₁₄	—	2	2	no	—
782	Dic₁₄	—	2	2	no	—
783	Dic₁₄	—	2	2	no	—
784	Dic₁₄	—	2	2	no	—
785	Dic₁₄	—	4	1	no	—
786	C₇×C₈	—	2	2	no	—
787	C₇×C₈	—	2	2	no	—
788	C₇×C₈	—	2	2	no	—
789	C₇×C₈	—	2	2	no	—
790	C₇⋊C₈	—	2	2	no	—
791	C₇⋊C₈	—	2	2	no	—
792	C₇⋊C₈	—	2	2	no	—
793	C₇⋊C₈	—	2	2	no	—
794	C₂×#41	—	7	1	no	—
795	C₂×#41	—	7	1	no	—
796	C₂×#41	—	7	1	no	—
797	C₂×#41	—	7	1	no	—
798	C₂×#41	—	7	1	no	—
799	C₂×#41	C₄×D₇	1	1	yes	characteristic
800	C₂³×C₄	—	7	1	no	—
801	C₂³×C₄	—	7	1	no	—
802	C₂³×C₄	—	7	1	no	—
803	#131	—	28	4	no	—
804	#131	—	28	4	no	—
805	C₂×M₁₆	—	7	2	no	—
806	C₂×M₁₆	—	7	2	no	—
807	C₂×M₁₆	—	7	2	no	—
808	C₂×M₁₆	—	7	2	no	—
809	C₂×M₁₆	—	7	2	no	—
810	C₂×M₁₆	C₂²×D₇	1	2	yes	—
811	C₂²×C₈	—	7	2	no	—
812	C₂²×C₈	—	7	2	no	—
813	C₂²×C₈	—	7	2	no	—
814	C₂²×C₈	—	7	2	no	—
815	C₂²×C₈	—	7	2	no	—
816	C₂²×C₈	—	7	2	no	—
817	C₂²×C₈	—	7	2	no	—
818	C₂²×C₈	—	7	2	no	—
819	C₂²×C₈	—	28	4	no	—
820	C₂²×C₈	C₂²×D₇	1	2	yes	—
821	C₂²×C₈	C₂²×D₇	1	2	yes	—
822	C₄⋊Q₈	—	7	1	no	—
823	C₄⋊Q₈	—	7	1	no	—
824	C₄⋊Q₈	—	7	1	no	—
825	#127	—	7	1	no	—
826	#126	—	7	1	no	—
827	#126	—	7	1	no	—
828	#126	—	7	1	no	—
829	#126	—	7	1	no	—
830	#126	—	7	1	no	—
831	#126	—	7	1	no	—
832	#126	—	7	1	no	—
833	#126	—	7	1	no	—
834	#125	—	7	1	no	—
835	#125	—	7	1	no	—
836	#125	—	7	1	no	—
837	#125	—	7	1	no	—
838	#125	—	7	1	no	—
839	#125	—	7	1	no	—
840	#124	—	7	1	no	—
841	#124	—	7	1	no	—
842	#124	—	7	1	no	—
843	#124	—	7	1	no	—
844	#124	—	7	1	no	—
845	#124	—	7	1	no	—
846	#123	—	7	1	no	—
847	#123	—	7	1	no	—
848	#123	—	7	1	no	—
849	#123	—	7	1	no	—
850	#123	—	7	1	no	—
851	#123	—	7	1	no	—
852	#123	—	7	1	no	—
853	#123	—	7	1	no	—
854	#123	—	7	1	no	—
855	#123	—	7	1	no	—
856	#123	—	7	1	no	—
857	#123	—	7	1	no	—
858	C₂²⋊Q₈	—	7	1	no	—
859	C₂²⋊Q₈	—	7	1	no	—
860	C₂²⋊Q₈	—	7	1	no	—
861	C₂²⋊Q₈	—	7	1	no	—
862	C₂²⋊Q₈	—	7	1	no	—
863	C₂²⋊Q₈	—	7	1	no	—
864	C₂²⋊Q₈	—	7	1	no	—
865	C₂²⋊Q₈	—	7	1	no	—
866	C₂²⋊Q₈	—	7	1	no	—
867	C₂²⋊Q₈	—	7	1	no	—
868	C₂²⋊Q₈	—	7	1	no	—
869	C₂²⋊Q₈	—	7	1	no	—
870	#121	—	7	1	no	—
871	#121	—	7	1	no	—
872	#121	—	7	1	no	—
873	#121	—	7	1	no	—
874	#121	—	7	1	no	—
875	#121	—	7	1	no	—
876	#121	—	7	1	no	—
877	#121	—	7	1	no	—
878	#121	—	7	1	no	—
879	#121	—	7	1	no	—
880	#121	—	7	1	no	—
881	#121	—	7	1	no	—
882	#120	—	7	1	no	—
883	#120	—	7	1	no	—
884	#120	—	7	1	no	—
885	#120	—	7	1	no	—
886	C₄×Q₈	—	7	1	no	—
887	C₄×Q₈	—	7	1	no	—
888	C₄×Q₈	—	7	1	no	—
889	C₄×Q₈	—	7	1	no	—
890	C₄×Q₈	—	7	1	no	—
891	C₄×Q₈	—	7	1	no	—
892	C₄×Q₈	—	7	1	no	—
893	C₄×Q₈	—	7	1	no	—
894	C₄×Q₈	—	7	1	no	—
895	C₄×Q₈	—	7	1	no	—
896	C₄×Q₈	C₄×D₇	1	1	yes	characteristic
897	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
898	C₄×D₄	—	7	1	no	—
899	C₄×D₄	—	7	1	no	—
900	C₄×D₄	—	7	1	no	—
901	C₄×D₄	—	7	1	no	—
902	C₄×D₄	—	7	1	no	—
903	C₄×D₄	—	7	1	no	—
904	C₄×D₄	—	7	1	no	—
905	C₄×D₄	—	7	1	no	—
906	C₄×D₄	—	7	1	no	—
907	C₄×D₄	—	7	1	no	—
908	C₄×D₄	—	7	1	no	—
909	C₄×D₄	—	7	1	no	—
910	C₄×D₄	—	7	1	no	—
911	C₄×D₄	—	7	1	no	—
912	C₄×D₄	—	7	1	no	—
913	C₄×D₄	—	7	1	no	—
914	C₄×D₄	—	7	1	no	—
915	C₄×D₄	—	7	1	no	—
916	C₄×D₄	—	7	1	no	—
917	C₄×D₄	—	7	1	no	—
918	C₄×D₄	—	7	1	no	—
919	C₄×D₄	—	7	1	no	—
920	C₄×D₄	—	7	1	no	—
921	C₄×D₄	—	7	1	no	—
922	C₄×D₄	—	7	1	no	—
923	C₄×D₄	—	7	1	no	—
924	C₄×D₄	—	7	1	no	—
925	C₄×D₄	—	7	1	no	—
926	C₄×D₄	—	7	1	no	—
927	C₄×D₄	—	7	1	no	—
928	C₄×D₄	C₄×D₇	1	1	yes	characteristic
929	C₄×D₄	C₄×D₇	1	1	yes	characteristic
930	C₄×D₄	C₄×D₇	1	1	yes	characteristic
931	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
932	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
933	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
934	#117	—	7	1	no	—
935	#117	—	7	1	no	—
936	#117	—	7	1	no	—
937	#117	—	7	1	no	—
938	#117	—	7	1	no	—
939	#117	—	7	1	no	—
940	#117	—	7	1	no	—
941	#117	—	7	1	no	—
942	#117	—	7	1	no	—
943	#117	—	7	1	no	—
944	#117	—	7	1	no	—
945	#117	—	7	1	no	—
946	#117	—	7	1	no	—
947	#117	—	7	1	no	—
948	#117	—	7	1	no	—
949	#117	C₄×D₇	1	1	yes	characteristic
950	#117	C₄×D₇	1	1	yes	characteristic
951	#117	C₄×D₇	1	1	yes	characteristic
952	C₂×C₄²	—	7	1	no	—
953	C₂×C₄²	—	7	1	no	—
954	C₂×C₄²	—	7	1	no	—
955	C₂×C₄²	—	7	1	no	—
956	C₂×C₄²	—	7	1	no	—
957	C₂×C₄²	—	7	1	no	—
958	C₂×C₄²	—	7	1	no	—
959	C₂×C₄²	—	7	1	no	—
960	C₂×C₄²	—	7	1	no	—
961	C₂×C₄²	—	7	1	no	—
962	C₂×C₄²	—	7	1	no	—
963	C₂×C₄²	—	7	1	no	—
964	C₂×C₄²	—	7	1	no	—
965	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
966	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
967	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
968	C₄⋊C₈	—	7	2	no	—
969	C₄⋊C₈	—	7	2	no	—
970	C₄⋊C₈	—	7	2	no	—
971	C₄⋊C₈	—	7	2	no	—
972	C₄⋊C₈	—	7	2	no	—
973	C₄⋊C₈	—	7	2	no	—
974	C₄⋊C₈	—	7	2	no	—
975	C₄⋊C₈	—	7	2	no	—
976	C₄⋊C₈	—	7	2	no	—
977	C₄⋊C₈	—	7	2	no	—
978	C₄⋊C₈	—	7	1	no	—
979	C₄⋊C₈	—	7	1	no	—
980	C₄⋊C₈	—	7	2	no	—
981	C₄⋊C₈	—	7	1	no	—
982	C₄⋊C₈	—	7	2	no	—
983	C₄⋊C₈	—	7	2	no	—
984	C₄⋊C₈	—	7	1	no	—
985	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
986	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
987	C₄⋊C₈	C₂²×D₇	1	2	yes	—
988	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
989	C₄⋊C₈	C₂²×D₇	1	2	yes	—
990	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
991	C₄⋊C₈	C₂²×D₇	1	2	yes	—
992	C₂²⋊C₈	—	7	2	no	—
993	C₂²⋊C₈	—	7	2	no	—
994	C₂²⋊C₈	—	7	2	no	—
995	C₂²⋊C₈	—	7	2	no	—
996	C₂²⋊C₈	—	7	2	no	—
997	C₂²⋊C₈	—	7	2	no	—
998	C₂²⋊C₈	—	7	2	no	—
999	C₂²⋊C₈	—	7	2	no	—
1000	C₂²⋊C₈	—	7	2	no	—
1001	C₂²⋊C₈	C₂²×D₇	1	2	yes	—
1002	C₂²⋊C₈	C₂²×D₇	1	2	yes	—
1003	C₂²⋊C₈	C₂²×D₇	1	2	yes	—
1004	#97	—	7	2	no	—
1005	#97	—	7	2	no	—
1006	#97	—	7	2	no	—
1007	#97	—	7	2	no	—
1008	#97	C₂²×D₇	1	2	yes	—
1009	#97	C₂²×D₇	1	2	yes	—
1010	C₄×C₈	—	7	2	no	—
1011	C₄×C₈	—	7	2	no	—
1012	C₄×C₈	—	7	2	no	—
1013	C₄×C₈	—	7	2	no	—
1014	C₄×C₈	—	7	2	no	—
1015	C₄×C₈	C₂²×D₇	1	2	yes	—
1016	C₂²×C₇	—	2	1	no	—
1017	C₂²×C₇	—	2	1	no	—
1018	C₂²×C₇	—	2	1	no	—
1019	C₂²×C₇	—	2	1	no	—
1020	C₂²×C₇	—	2	1	no	—
1021	C₂²×C₇	—	2	1	no	—
1022	C₂²×C₇	—	2	1	no	—
1023	C₂²×C₇	—	2	1	no	—
1024	C₂²×C₇	#568	1	2	yes	—
1025	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1026	C₂×D₇	—	2	8	no	—
1027	C₂×D₇	—	2	1	no	—
1028	C₂×D₇	—	2	1	no	—
1029	C₂×D₇	—	2	1	no	—
1030	C₂×D₇	—	2	1	no	—
1031	C₂×D₇	—	2	1	no	—
1032	C₂×D₇	—	2	1	no	—
1033	C₂×D₇	—	2	1	no	—
1034	C₂×D₇	—	2	1	no	—
1035	C₂×D₇	—	2	1	no	—
1036	C₂×D₇	—	2	1	no	—
1037	C₂×D₇	#520	1	2	yes	—
1038	C₂×D₇	C₂×#131	1	2	yes	—
1039	C₄×C₇	—	2	1	no	—
1040	C₄×C₇	—	2	1	no	—
1041	C₄×C₇	—	2	1	no	—
1042	C₄×C₇	—	2	1	no	—
1043	C₄×C₇	—	2	1	no	—
1044	C₄×C₇	—	2	1	no	—
1045	C₄×C₇	—	2	1	no	—
1046	C₄×C₇	—	2	1	no	—
1047	C₄×C₇	—	2	1	no	—
1048	C₄×C₇	—	2	1	no	—
1049	C₄×C₇	C₂×#131	1	2	yes	—
1050	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1052	Dic₇	—	2	1	no	—
1053	Dic₇	—	2	1	no	—
1054	Dic₇	—	2	1	no	—
1055	Dic₇	—	2	1	no	—
1056	Dic₇	—	2	1	no	—
1057	Dic₇	—	2	1	no	—
1058	Dic₇	—	2	1	no	—
1059	Dic₇	—	2	1	no	—
1060	Dic₇	—	2	1	no	—
1061	Dic₇	—	2	1	no	—
1062	Dic₇	#520	1	2	yes	—
1063	Dic₇	C₂×#131	1	2	yes	—
1064	C₂⁴	—	7	1	no	—
1065	#41	—	4	2	no	—
1066	#41	—	14	2	no	—
1067	#41	—	14	2	no	—
1068	#41	—	14	4	no	—
1069	#41	—	14	4	no	—
1070	#41	—	14	2	no	—
1071	#41	—	14	2	no	—
1072	#41	—	28	2	no	—
1073	C₂×Q₈	—	7	1	no	—
1074	C₂×Q₈	—	7	1	no	—
1075	C₂×Q₈	—	7	1	no	—
1076	C₂×Q₈	—	7	1	no	—
1077	C₂×Q₈	—	7	1	no	—
1078	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1079	C₂×D₄	—	7	1	no	—
1080	C₂×D₄	—	7	1	no	—
1081	C₂×D₄	—	7	1	no	—
1082	C₂×D₄	—	7	1	no	—
1083	C₂×D₄	—	7	1	no	—
1084	C₂×D₄	—	7	1	no	—
1085	C₂×D₄	—	7	1	no	—
1086	C₂×D₄	—	7	1	no	—
1087	C₂×D₄	—	7	1	no	—
1088	C₂×D₄	—	7	1	no	—
1089	C₂×D₄	—	7	1	no	—
1090	C₂×D₄	—	7	1	no	—
1091	C₂×D₄	—	7	1	no	—
1092	C₂×D₄	—	7	1	no	—
1093	C₂×D₄	—	7	1	no	—
1094	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1095	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1096	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1097	C₂²×C₄	—	7	1	no	—
1098	C₂²×C₄	—	7	1	no	—
1099	C₂²×C₄	—	7	1	no	—
1100	C₂²×C₄	—	7	1	no	—
1101	C₂²×C₄	—	7	1	no	—
1102	C₂²×C₄	—	7	1	no	—
1103	C₂²×C₄	—	7	1	no	—
1104	C₂²×C₄	—	7	1	no	—
1105	C₂²×C₄	—	7	1	no	—
1106	C₂²×C₄	—	7	1	no	—
1107	C₂²×C₄	—	7	1	no	—
1108	C₂²×C₄	—	7	1	no	—
1109	C₂²×C₄	—	7	1	no	—
1110	C₂²×C₄	—	7	1	no	—
1111	C₂²×C₄	—	7	1	no	—
1112	C₂²×C₄	—	7	1	no	—
1113	C₂²×C₄	—	7	1	no	—
1114	C₂²×C₄	—	7	1	no	—
1115	C₂²×C₄	—	7	1	no	—
1116	C₂²×C₄	—	7	1	no	—
1117	C₂²×C₄	—	7	1	no	—
1118	C₂²×C₄	—	14	2	no	—
1119	C₂²×C₄	—	14	4	no	—
1120	C₂²×C₄	—	14	2	no	—
1121	C₂²×C₄	—	28	2	no	—
1122	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1123	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1124	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1125	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1126	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1127	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1131	M₁₆	—	4	2	no	—
1132	M₁₆	—	14	4	no	—
1133	M₁₆	—	14	4	no	—
1134	M₁₆	—	28	2	no	—
1135	M₁₆	—	28	2	no	—
1136	M₁₆	—	28	2	no	—
1137	C₂×C₈	—	4	2	no	—
1138	C₂×C₈	—	4	2	no	—
1139	C₂×C₈	—	7	2	no	—
1140	C₂×C₈	—	7	2	no	—
1141	C₂×C₈	—	7	2	no	—
1142	C₂×C₈	—	7	2	no	—
1143	C₂×C₈	—	14	4	no	—
1144	C₂×C₈	—	14	4	no	—
1145	C₂×C₈	—	28	2	no	—
1146	C₂×C₈	—	28	2	no	—
1147	C₂×C₈	—	28	2	no	—
1148	C₂×C₈	—	28	2	no	—
1149	C₂×C₈	—	28	2	no	—
1150	C₂×C₈	—	28	2	no	—
1151	C₂×C₈	C₂³×D₇	1	2	yes	—
1152	C₂×C₈	C₂³×D₇	1	2	yes	—
1153	C₂×C₈	C₂³×D₇	1	2	yes	—
1154	C₂×C₈	C₂³×D₇	1	2	yes	—
1155	C₄⋊C₄	—	7	1	no	—
1156	C₄⋊C₄	—	7	1	no	—
1157	C₄⋊C₄	—	7	1	no	—
1158	C₄⋊C₄	—	7	1	no	—
1159	C₄⋊C₄	—	7	1	no	—
1160	C₄⋊C₄	—	7	1	no	—
1161	C₄⋊C₄	—	7	1	no	—
1162	C₄⋊C₄	—	7	1	no	—
1163	C₄⋊C₄	—	7	1	no	—
1164	C₄⋊C₄	—	7	1	no	—
1165	C₄⋊C₄	—	7	1	no	—
1166	C₄⋊C₄	—	7	1	no	—
1167	C₄⋊C₄	—	7	1	no	—
1168	C₄⋊C₄	—	7	1	no	—
1169	C₄⋊C₄	—	7	1	no	—
1170	C₄⋊C₄	—	7	1	no	—
1171	C₄⋊C₄	—	7	1	no	—
1172	C₄⋊C₄	—	7	1	no	—
1173	C₄⋊C₄	—	7	1	no	—
1174	C₄⋊C₄	—	7	1	no	—
1175	C₄⋊C₄	—	7	1	no	—
1176	C₄⋊C₄	—	7	1	no	—
1177	C₄⋊C₄	—	7	1	no	—
1178	C₄⋊C₄	—	7	1	no	—
1179	C₄⋊C₄	—	7	1	no	—
1180	C₄⋊C₄	—	7	1	no	—
1181	C₄⋊C₄	—	7	1	no	—
1182	C₄⋊C₄	—	7	1	no	—
1183	C₄⋊C₄	—	7	1	no	—
1184	C₄⋊C₄	—	7	1	no	—
1185	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1186	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1187	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1188	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1189	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1190	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1191	C₂²⋊C₄	—	7	1	no	—
1192	C₂²⋊C₄	—	7	1	no	—
1193	C₂²⋊C₄	—	7	1	no	—
1194	C₂²⋊C₄	—	7	1	no	—
1195	C₂²⋊C₄	—	7	1	no	—
1196	C₂²⋊C₄	—	7	1	no	—
1197	C₂²⋊C₄	—	7	1	no	—
1198	C₂²⋊C₄	—	7	1	no	—
1199	C₂²⋊C₄	—	7	1	no	—
1200	C₂²⋊C₄	—	7	1	no	—
1201	C₂²⋊C₄	—	7	1	no	—
1202	C₂²⋊C₄	—	7	1	no	—
1203	C₂²⋊C₄	—	7	1	no	—
1204	C₂²⋊C₄	—	7	1	no	—
1205	C₂²⋊C₄	—	7	1	no	—
1206	C₂²⋊C₄	—	7	1	no	—
1207	C₂²⋊C₄	—	7	1	no	—
1208	C₂²⋊C₄	—	7	1	no	—
1209	C₂²⋊C₄	—	7	1	no	—
1210	C₂²⋊C₄	—	7	1	no	—
1211	C₂²⋊C₄	—	7	1	no	—
1212	C₂²⋊C₄	—	7	1	no	—
1213	C₂²⋊C₄	—	7	1	no	—
1214	C₂²⋊C₄	—	7	1	no	—
1215	C₂²⋊C₄	—	7	1	no	—
1216	C₂²⋊C₄	—	7	1	no	—
1217	C₂²⋊C₄	—	7	1	no	—
1218	C₂²⋊C₄	—	7	1	no	—
1219	C₂²⋊C₄	—	7	1	no	—
1220	C₂²⋊C₄	—	7	1	no	—
1221	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1222	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1223	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1224	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1225	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1226	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1227	C₄²	—	7	1	no	—
1228	C₄²	—	7	1	no	—
1229	C₄²	—	7	1	no	—
1230	C₄²	—	7	1	no	—
1231	C₄²	—	7	1	no	—
1232	C₄²	—	7	1	no	—
1233	C₄²	—	7	1	no	—
1234	C₄²	—	7	1	no	—
1235	C₄²	—	7	1	no	—
1236	C₄²	—	7	1	no	—
1237	C₄²	—	7	1	no	—
1238	C₄²	—	7	1	no	—
1239	C₄²	—	7	1	no	—
1240	C₄²	—	7	1	no	—
1241	C₄²	—	7	1	no	—
1242	C₄²	—	7	1	no	—
1243	C₄²	—	7	1	no	—
1244	C₄²	—	7	1	no	—
1245	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1246	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1247	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1248	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1249	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1250	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1251	C₄²	C₂³×D₇	1	1	yes	characteristic
1252	C₄²	C₂³×D₇	1	1	yes	characteristic
1253	C₄²	C₂³×D₇	1	1	yes	characteristic
1254	C₄²	C₂³×D₇	1	1	yes	characteristic
1255	C₂×C₇	—	2	2	no	—
1256	C₂×C₇	—	4	1	no	—
1257	C₂×C₇	—	4	1	no	—
1258	C₂×C₇	C₂×#520	1	1	yes	characteristic
1259	C₂×C₇	C₂²×#131	1	1	yes	characteristic
1260	C₂×C₇	C₂×#568	1	1	yes	characteristic
1261	D₇	—	2	2	no	—
1262	D₇	—	2	2	no	—
1263	D₇	—	4	1	no	—
1264	D₇	—	4	1	no	—
1265	C₂³	—	7	1	no	—
1266	C₂³	—	7	1	no	—
1267	C₂³	—	7	1	no	—
1268	C₂³	—	7	1	no	—
1269	C₂³	—	14	2	no	—
1270	C₂³	—	14	2	no	—
1271	C₂³	—	14	2	no	—
1272	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1273	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1274	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1275	Q₈	—	4	1	no	—
1276	Q₈	—	14	2	no	—
1277	Q₈	—	14	2	no	—
1278	Q₈	—	14	2	no	—
1279	Q₈	—	14	2	no	—
1280	Q₈	—	28	1	no	—
1281	D₄	—	2	2	no	—
1282	D₄	—	2	2	no	—
1283	D₄	—	4	1	no	—
1284	D₄	—	14	2	no	—
1285	D₄	—	14	2	no	—
1286	D₄	—	14	2	no	—
1287	D₄	—	14	2	no	—
1288	D₄	—	14	2	no	—
1289	D₄	—	14	2	no	—
1290	D₄	—	14	2	no	—
1291	D₄	—	14	2	no	—
1292	D₄	—	14	2	no	—
1293	D₄	—	14	2	no	—
1294	D₄	—	14	2	no	—
1295	D₄	—	14	2	no	—
1296	D₄	—	14	2	no	—
1297	D₄	—	14	2	no	—
1298	D₄	—	28	1	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	2	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	4	1	no	—
1310	C₂×C₄	—	4	1	no	—
1311	C₂×C₄	—	7	1	no	—
1312	C₂×C₄	—	7	1	no	—
1313	C₂×C₄	—	7	4	no	—
1314	C₂×C₄	—	7	2	no	—
1315	C₂×C₄	—	7	2	no	—
1316	C₂×C₄	—	7	1	no	—
1317	C₂×C₄	—	7	1	no	—
1318	C₂×C₄	—	7	1	no	—
1319	C₂×C₄	—	7	1	no	—
1320	C₂×C₄	—	7	1	no	—
1321	C₂×C₄	—	7	1	no	—
1322	C₂×C₄	—	7	1	no	—
1323	C₂×C₄	—	7	1	no	—
1324	C₂×C₄	—	7	1	no	—
1325	C₂×C₄	—	7	1	no	—
1326	C₂×C₄	—	14	2	no	—
1327	C₂×C₄	—	14	2	no	—
1328	C₂×C₄	—	14	2	no	—
1329	C₂×C₄	—	14	2	no	—
1330	C₂×C₄	—	14	2	no	—
1331	C₂×C₄	—	14	2	no	—
1332	C₂×C₄	—	14	2	no	—
1333	C₂×C₄	—	14	2	no	—
1334	C₂×C₄	—	14	2	no	—
1335	C₂×C₄	—	14	2	no	—
1336	C₂×C₄	—	14	1	no	—
1337	C₂×C₄	—	14	1	no	—
1338	C₂×C₄	—	14	1	no	—
1339	C₂×C₄	—	14	1	no	—
1340	C₂×C₄	—	14	1	no	—
1341	C₂×C₄	—	14	1	no	—
1342	C₂×C₄	—	28	1	no	—
1343	C₂×C₄	—	28	1	no	—
1344	C₂×C₄	—	28	1	no	—
1345	C₂×C₄	—	28	1	no	—
1346	C₂×C₄	—	28	1	no	—
1347	C₂×C₄	—	28	1	no	—
1348	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1349	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1350	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1351	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1352	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1353	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1354	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1355	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1356	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1357	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1358	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1359	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1360	C₈	—	2	2	no	—
1361	C₈	—	2	2	no	—
1362	C₈	—	2	2	no	—
1363	C₈	—	2	2	no	—
1364	C₈	—	14	2	no	—
1365	C₈	—	14	2	no	—
1366	C₈	—	14	2	no	—
1367	C₈	—	14	2	no	—
1368	C₇	#60265	1	1	yes	characteristic, complemented, Sylow
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	2	1	no	—
1377	C₂²	—	7	2	no	—
1378	C₂²	—	7	2	no	—
1379	C₂²	—	14	8	no	—
1380	C₂²	—	14	1	no	—
1381	C₂²	—	14	1	no	—
1382	C₂²	—	14	1	no	—
1383	C₂²	—	14	1	no	—
1384	C₂²	—	14	1	no	—
1385	C₂²	—	14	1	no	—
1386	C₂²	—	14	1	no	—
1387	C₂²	—	14	1	no	—
1388	C₂²	—	14	1	no	—
1389	C₂²	—	14	1	no	—
1390	C₂²	#90436	1	2	yes	—
1391	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	2	1	no	—
1402	C₄	—	7	2	no	—
1403	C₄	—	7	2	no	—
1404	C₄	—	14	1	no	—
1405	C₄	—	14	1	no	—
1406	C₄	—	14	1	no	—
1407	C₄	—	14	1	no	—
1408	C₄	—	14	1	no	—
1409	C₄	—	14	1	no	—
1410	C₄	—	14	1	no	—
1411	C₄	—	14	1	no	—
1412	C₄	—	14	1	no	—
1413	C₄	—	14	1	no	—
1414	C₄	D₇×#131	1	2	yes	—
1415	C₄	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1416	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1417	C₂	—	2	2	no	—
1418	C₂	—	4	1	no	—
1419	C₂	—	4	1	no	—
1420	C₂	—	14	2	no	—
1421	C₂	—	14	2	no	—
1422	C₂	—	28	1	no	—
1423	C₂	—	28	1	no	—
1424	C₂	D₇×#520	1	1	yes	characteristic
1425	C₂	C₂×#90436	1	1	yes	characteristic
1426	C₂	C₂×D₇×#131	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2990	C₂
prime radical	#11742904	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2990	D₇
hypocenter	C₇	#60265
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2990

Complements

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

N	H ≅ G/N	type
2. C₇×#2990	C₂	semidirect
3. #11739967	C₂	semidirect
4. #11737406	C₂	semidirect
5. #11737391	C₂	semidirect
6. #11736929	C₂	semidirect
7. #11736923	C₂	semidirect
8. #11736911	C₂	semidirect
9. #11736909	C₂	semidirect
10. #11736866	C₂	semidirect
11. #11736854	C₂	semidirect
12. #11736785	C₂	semidirect
13. #11736784	C₂	semidirect
14. #11736779	C₂	semidirect
15. #11736776	C₂	semidirect
16. #11736736	C₂	semidirect
17. #11736730	C₂	semidirect
18. #11736495	C₂	semidirect
19. #11736494	C₂	semidirect
20. #11736460	C₂	semidirect
21. #11736458	C₂	semidirect
22. #11736457	C₂	semidirect
23. C₂×D₇×C₄⋊C₈	C₂	semidirect
58. C₇×#446	C₂²	semidirect
60. C₇×#435	C₂²	semidirect
63. C₇×#432	C₂²	semidirect
64. C₇×#431	C₂²	semidirect
65. C₇×#423	C₂²	semidirect
67. C₂×C₇×C₄⋊C₈	C₂²	semidirect
68. #89900	C₂²	semidirect
70. #89891	C₂²	semidirect
74. C₈×C₂²⋊D₇	C₂²	semidirect
75. #89874	C₂²	semidirect
77. #89796	C₂²	semidirect
79. #89783	C₂²	semidirect
82. #89698	C₂²	semidirect
83. #89697	C₂²	semidirect
84. #89696	C₂²	semidirect
86. C₂×C₄⋊(C₇⋊C₈)	C₂²	semidirect
89. #89611	C₂²	semidirect
90. #89611	C₂²	semidirect
93. #89609	C₂²	semidirect
94. #89609	C₂²	semidirect
96. #89608	C₂²	semidirect
97. #89607	C₂²	semidirect
98. #89607	C₂²	semidirect
102. #89605	C₂²	semidirect
103. #89605	C₂²	semidirect
110. D₇×C₄⋊C₈	C₂²	semidirect
111. D₇×C₄⋊C₈	C₂²	semidirect
112. #89602	C₂²	semidirect
113. #89600	C₂²	semidirect
114. #89600	C₂²	semidirect
116. #89501	C₂²	semidirect
123. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
124. #89492	C₂²	semidirect
125. #89492	C₂²	semidirect
127. #89481	C₂²	semidirect
131. #89478	C₂²	semidirect
133. #89473	C₂²	semidirect
134. #89473	C₂²	semidirect
135. #89462	C₂²	semidirect
138. C₈×Dic₁₄	C₂²	semidirect
370. #2990	D₇	semidirect
615. #446	C₂×D₇	semidirect
631. #435	C₂×D₇	semidirect
652. #432	C₂×D₇	semidirect
659. #431	C₂×D₇	semidirect
671. #423	C₂×D₇	semidirect
684. C₂×C₄⋊C₈	C₂×D₇	semidirect
778. C₄×D₇	#131	semidirect
1368. C₇	#60265	semidirect

Maximal subgroups

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

subgroup	index
#11742904	2
C₇×#2990	2
#11739967	2
#11737406	2
#11737391	2
#11736929	2
#11736923	2
#11736911	2
#11736909	2
#11736866	2
#11736854	2
#11736785	2
#11736784	2
#11736779	2
#11736776	2
#11736736	2
#11736730	2
#11736495	2
#11736494	2
#11736460	2
#11736458	2
#11736457	2
C₂×D₇×C₄⋊C₈	2
#60265	7