Subgroups — C₇×#60996 #13238212

Order 1792.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₇×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3256	C₂	1	1	yes	maximal, characteristic, complemented
4	C₇×#3252	C₂	1	1	yes	maximal, characteristic, complemented
5	C₇×#3250	C₂	1	1	yes	maximal, characteristic, complemented
6	C₇×#3248	C₂	1	1	yes	maximal, characteristic, complemented
7	C₇×#3244	C₂	1	1	yes	maximal, characteristic, complemented
8	C₇×#3243	C₂	1	1	yes	maximal, characteristic, complemented
9	C₇×#3240	C₂	1	1	yes	maximal, characteristic, complemented
10	C₇×#3231	C₂	1	1	yes	maximal, characteristic, complemented
11	C₇×#3225	C₂	1	1	yes	maximal, characteristic, complemented
12	C₇×#3225	C₂	1	1	yes	maximal, characteristic, complemented
13	C₇×#3215	C₂	1	1	yes	maximal, characteristic, complemented
14	C₇×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇×#3202	C₂	1	1	yes	maximal, characteristic, complemented
16	C₇×#3201	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇×#3200	C₂	1	1	yes	maximal, characteristic, complemented
18	C₇×#3198	C₂	1	1	yes	maximal, characteristic
19	C₇×#3178	C₂	1	1	yes	maximal, characteristic, complemented
20	C₇×#3178	C₂	1	1	yes	maximal, characteristic, complemented
21	C₇×#3175	C₂	1	1	yes	maximal, characteristic, complemented
22	C₇×#3173	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇×#3127	C₂	1	1	yes	maximal, characteristic, complemented
24	C₇×#3123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₇×#3121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₇×#3118	C₂	1	1	yes	maximal, characteristic, complemented
27	C₇×#3117	C₂	1	1	yes	maximal, characteristic, complemented
28	C₇×#3111	C₂	1	1	yes	maximal, characteristic, complemented
29	C₇×#3108	C₂	1	1	yes	maximal, characteristic, complemented
30	C₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇×#2925	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#559	—	2	1	no	—
33	C₇×#559	—	2	1	no	—
34	C₇×#556	—	2	1	no	—
35	C₇×#556	—	2	1	no	—
36	C₇×#551	—	2	1	no	—
37	C₇×#551	—	2	1	no	—
38	C₇×#551	—	2	1	no	—
39	C₇×#551	—	2	1	no	—
40	C₇×#544	C₂²	1	1	yes	characteristic, complemented
41	C₇×#542	—	2	1	no	—
42	C₇×#542	C₂²	1	1	yes	characteristic
43	C₇×#542	C₂²	1	1	yes	characteristic
44	C₇×#542	C₂²	1	1	yes	characteristic
45	C₇×#542	C₂²	1	1	yes	characteristic
46	C₇×#542	C₂²	1	1	yes	characteristic
47	C₇×#542	C₂²	1	1	yes	characteristic, complemented
48	C₇×#541	—	2	1	no	—
49	C₇×#541	C₂²	1	1	yes	characteristic
50	C₇×#541	C₂²	1	1	yes	characteristic, complemented
51	C₇×#539	—	2	1	no	—
52	C₇×#539	—	2	1	no	—
53	C₇×#537	C₂²	1	1	yes	characteristic
54	C₇×#536	C₂²	1	1	yes	characteristic
55	C₇×#536	C₂²	1	1	yes	characteristic
56	C₇×#536	C₂²	1	1	yes	characteristic, complemented
57	C₇×#535	C₂²	1	1	yes	characteristic
58	C₇×#533	—	2	1	no	—
59	C₇×#533	C₂²	1	1	yes	characteristic
60	C₇×#533	C₂²	1	1	yes	characteristic
61	C₇×#533	C₂²	1	1	yes	characteristic, complemented
62	C₇×#529	—	2	1	no	—
63	C₇×#529	—	2	1	no	—
64	C₇×#529	—	2	1	no	—
65	C₇×#529	C₂²	1	1	yes	characteristic
66	C₇×#529	C₂²	1	1	yes	characteristic
67	C₇×#529	C₂²	1	1	yes	characteristic
68	C₇×#529	C₂²	1	1	yes	characteristic
69	C₇×#529	C₂²	1	1	yes	characteristic
70	C₇×#529	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₇×#124	C₂²	1	1	yes	characteristic
72	C₇×#519	C₂²	1	1	yes	characteristic
73	C₇×#518	C₂²	1	1	yes	characteristic
74	C₄×C₇×#41	C₂²	1	1	yes	characteristic
75	C₄×C₇×#41	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×C₇×Q₈	C₂²	1	1	yes	characteristic, complemented
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#501	C₂²	1	1	yes	characteristic, complemented
79	C₇×#500	C₂²	1	1	yes	characteristic, complemented
80	C₇×#498	C₂²	1	1	yes	characteristic, complemented
81	C₇×#497	C₂²	1	1	yes	characteristic
82	C₇×#497	C₂²	1	1	yes	characteristic
83	C₇×#495	C₂²	1	1	yes	characteristic
84	C₇×#495	C₂²	1	1	yes	characteristic
85	C₇×#489	C₂²	1	1	yes	characteristic
86	C₇×#489	C₂²	1	1	yes	characteristic
87	C₇×#489	C₂²	1	1	yes	characteristic, complemented
88	C₇×#489	C₂²	1	1	yes	characteristic, complemented
89	C₇×#488	C₂²	1	1	yes	characteristic
90	C₇×#488	C₂²	1	1	yes	characteristic
91	C₇×#487	C₂²	1	1	yes	characteristic, complemented
92	C₇×#487	C₂²	1	1	yes	characteristic, complemented
93	C₇×#485	C₂²	1	1	yes	characteristic
94	C₇×#485	C₂²	1	1	yes	characteristic
95	C₇×#485	C₂²	1	1	yes	characteristic
96	C₇×#485	C₂²	1	1	yes	characteristic
97	C₇×#485	C₂²	1	1	yes	characteristic
98	C₇×#485	C₂²	1	1	yes	characteristic
99	C₇×#485	C₂²	1	1	yes	characteristic, complemented
100	C₇×#485	C₂²	1	1	yes	characteristic, complemented
101	C₇×#484	C₂²	1	1	yes	characteristic, complemented
102	C₇×#483	C₂²	1	1	yes	characteristic, complemented
103	C₇×#482	C₂²	1	1	yes	characteristic
104	C₇×#482	C₂²	1	1	yes	characteristic
105	C₇×#482	C₂²	1	1	yes	characteristic
106	C₇×#482	C₂²	1	1	yes	characteristic
107	C₇×#481	C₂²	1	1	yes	characteristic
108	C₇×#480	C₂²	1	1	yes	characteristic
109	C₇×#479	C₂²	1	1	yes	characteristic, complemented
110	C₇×#479	C₂²	1	1	yes	characteristic, complemented
111	C₇×#479	C₂²	1	1	yes	characteristic, complemented
112	C₇×#479	C₂²	1	1	yes	characteristic, complemented
113	C₇×#479	C₂²	1	1	yes	characteristic, complemented
114	C₇×#479	C₂²	1	1	yes	characteristic, complemented
115	C₇×#479	C₂²	1	1	yes	characteristic, complemented
116	C₇×#479	C₂²	1	1	yes	characteristic, complemented
117	C₇×#478	C₂²	1	1	yes	characteristic
118	C₇×#478	C₂²	1	1	yes	characteristic
119	C₇×#478	C₂²	1	1	yes	characteristic, complemented
120	C₇×#478	C₂²	1	1	yes	characteristic, complemented
121	C₇×#477	C₂²	1	1	yes	characteristic, complemented
122	C₇×#476	C₂²	1	1	yes	characteristic
123	C₇×#475	C₂²	1	1	yes	characteristic, complemented
124	C₇×#474	C₂²	1	1	yes	characteristic
125	C₇×#470	C₂²	1	1	yes	characteristic, complemented
126	C₇×#470	C₂²	1	1	yes	characteristic, complemented
127	C₇×#470	C₂²	1	1	yes	characteristic, complemented
128	C₇×#469	C₂²	1	1	yes	characteristic
129	C₇×#468	C₂²	1	1	yes	characteristic
130	C₇×#468	C₂²	1	1	yes	characteristic
131	C₇×#468	C₂²	1	1	yes	characteristic
132	C₇×#468	C₂²	1	1	yes	characteristic, complemented
133	C₇×#467	C₂²	1	1	yes	characteristic, complemented
134	C₇×#467	C₂²	1	1	yes	characteristic, complemented
135	C₇×#467	C₂²	1	1	yes	characteristic, complemented
136	C₇×#466	C₂²	1	1	yes	characteristic
137	C₇×#465	C₂²	1	1	yes	characteristic
138	C₇×#465	C₂²	1	1	yes	characteristic
139	C₇×#465	C₂²	1	1	yes	characteristic
140	C₇×#465	C₂²	1	1	yes	characteristic, complemented
141	C₇×#464	C₂²	1	1	yes	characteristic
142	C₇×#464	C₂²	1	1	yes	characteristic
143	C₇×#464	C₂²	1	1	yes	characteristic
144	C₇×#464	C₂²	1	1	yes	characteristic
145	C₇×#464	C₂²	1	1	yes	characteristic
146	C₇×#464	C₂²	1	1	yes	characteristic
147	C₇×#464	C₂²	1	1	yes	characteristic, complemented
148	C₇×#464	C₂²	1	1	yes	characteristic, complemented
149	C₇×#463	C₂²	1	1	yes	characteristic
150	C₇×#463	C₂²	1	1	yes	characteristic
151	C₇×#463	C₂²	1	1	yes	characteristic
152	C₇×#463	C₂²	1	1	yes	characteristic
153	C₇×#462	C₂²	1	1	yes	characteristic, complemented
154	C₇×#462	C₂²	1	1	yes	characteristic, complemented
155	C₇×#461	C₂²	1	1	yes	characteristic
156	C₇×#461	C₂²	1	1	yes	characteristic
157	C₇×#452	C₂²	1	1	yes	characteristic, complemented
158	C₇×#452	C₂²	1	1	yes	characteristic, complemented
159	C₇×#451	C₂²	1	1	yes	characteristic
160	C₇×#451	C₂²	1	1	yes	characteristic
161	C₇×#451	C₂²	1	1	yes	characteristic
162	C₇×#451	C₂²	1	1	yes	characteristic, complemented
163	C₇×#451	C₂²	1	1	yes	characteristic, complemented
164	C₇×#450	C₂²	1	1	yes	characteristic
165	C₇×#450	C₂²	1	1	yes	characteristic
166	C₇×#450	C₂²	1	1	yes	characteristic
167	C₇×#449	C₂²	1	1	yes	characteristic
168	C₇×#449	C₂²	1	1	yes	characteristic
169	C₇×#448	C₂²	1	1	yes	characteristic
170	C₇×#448	C₂²	1	1	yes	characteristic
171	C₇×#448	C₂²	1	1	yes	characteristic
172	C₇×#447	C₂²	1	1	yes	characteristic
173	C₇×#442	C₂²	1	1	yes	characteristic
174	C₇×#441	C₂²	1	1	yes	characteristic, complemented
175	C₇×#441	C₂²	1	1	yes	characteristic, complemented
176	C₇×#441	C₂²	1	1	yes	characteristic, complemented
177	C₇×#440	C₂²	1	1	yes	characteristic
178	C₇×#440	C₂²	1	1	yes	characteristic
179	C₇×#440	C₂²	1	1	yes	characteristic
180	C₇×#440	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
185	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
186	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
187	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₇×D₈	C₂²	1	1	yes	characteristic
189	C₇×#433	C₂²	1	1	yes	characteristic
190	C₇×#433	C₂²	1	1	yes	characteristic
191	C₇×#433	C₂²	1	1	yes	characteristic, complemented
192	C₇×#433	C₂²	1	1	yes	characteristic, complemented
193	C₇×#432	C₂²	1	1	yes	characteristic
194	C₇×#432	C₂²	1	1	yes	characteristic, complemented
195	C₇×#431	C₂²	1	1	yes	characteristic
196	C₇×#431	C₂²	1	1	yes	characteristic, complemented
197	C₇×#423	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	C₇×#408	C₂²	1	1	yes	characteristic
200	C₇×#408	C₂²	1	1	yes	characteristic
201	C₇×#405	C₂²	1	1	yes	characteristic, complemented
202	C₇×#405	C₂²	1	1	yes	characteristic, complemented
203	#60996	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂×C₇×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
207	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
208	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
209	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
224	C₂×C₇×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
227	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
229	C₇×C₄⋊Q₈	—	2	1	no	—
230	C₇×C₄⋊Q₈	—	2	1	no	—
231	C₇×C₄⋊Q₈	—	2	1	no	—
232	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₇×#127	—	2	1	no	—
239	C₇×#126	—	2	1	no	—
240	C₇×#126	—	2	1	no	—
241	C₇×#126	—	2	1	no	—
242	C₇×#126	—	2	1	no	—
243	C₇×#126	—	2	1	no	—
244	C₇×#126	—	2	1	no	—
245	C₇×#126	—	2	1	no	—
246	C₇×#126	—	2	1	no	—
247	C₇×#126	—	2	1	no	—
248	C₇×#126	—	2	1	no	—
249	C₇×#126	—	2	1	no	—
250	C₇×#126	—	2	1	no	—
251	C₇×#126	—	2	1	no	—
252	C₇×#126	—	2	1	no	—
253	C₇×#126	—	2	1	no	—
254	C₇×#126	—	2	1	no	—
255	C₇×#125	—	2	1	no	—
256	C₇×#125	—	2	1	no	—
257	C₇×#125	—	2	1	no	—
258	C₇×#125	—	2	1	no	—
259	C₇×#125	—	2	1	no	—
260	C₇×#125	—	2	1	no	—
261	C₇×#125	—	2	1	no	—
262	C₇×#125	C₂³	1	1	yes	characteristic
263	C₇×#125	C₂³	1	1	yes	characteristic
264	C₇×#125	C₂³	1	1	yes	characteristic
265	C₇×#125	C₂³	1	1	yes	characteristic
266	C₇×#124	—	2	1	no	—
267	C₇×#124	—	2	1	no	—
268	C₇×#124	—	2	1	no	—
269	C₇×#124	—	2	1	no	—
270	C₇×#124	—	2	1	no	—
271	C₇×#124	—	2	1	no	—
272	C₇×#124	—	2	1	no	—
273	C₇×#124	—	2	1	no	—
274	C₇×#124	—	2	1	no	—
275	C₇×#124	—	2	1	no	—
276	C₇×#124	—	2	1	no	—
277	C₇×#124	C₂³	1	1	yes	characteristic
278	C₇×#124	C₂³	1	1	yes	characteristic
279	C₇×#124	C₂³	1	1	yes	characteristic
280	C₇×#124	C₂³	1	1	yes	characteristic
281	C₇×#124	C₂³	1	1	yes	characteristic
282	C₇×#124	C₂³	1	1	yes	characteristic
283	C₇×#123	—	2	1	no	—
284	C₇×#123	—	2	1	no	—
285	C₇×#123	—	2	1	no	—
286	C₇×#123	—	2	1	no	—
287	C₇×#123	—	2	1	no	—
288	C₇×#123	—	2	1	no	—
289	C₇×#123	—	2	1	no	—
290	C₇×#123	—	2	1	no	—
291	C₇×#123	—	2	1	no	—
292	C₇×#123	—	2	1	no	—
293	C₇×#123	—	2	1	no	—
294	C₇×#123	—	2	1	no	—
295	C₇×#123	—	2	1	no	—
296	C₇×#123	—	2	1	no	—
297	C₇×#123	—	2	1	no	—
298	C₇×#123	—	2	1	no	—
299	C₇×#123	—	2	1	no	—
300	C₇×#123	—	2	1	no	—
301	C₇×C₂²⋊Q₈	—	2	1	no	—
302	C₇×C₂²⋊Q₈	—	2	1	no	—
303	C₇×C₂²⋊Q₈	—	2	1	no	—
304	C₇×C₂²⋊Q₈	—	2	1	no	—
305	C₇×C₂²⋊Q₈	—	2	1	no	—
306	C₇×C₂²⋊Q₈	—	2	1	no	—
307	C₇×C₂²⋊Q₈	—	2	1	no	—
308	C₇×C₂²⋊Q₈	—	2	1	no	—
309	C₇×C₂²⋊Q₈	—	2	1	no	—
310	C₇×C₂²⋊Q₈	—	2	1	no	—
311	C₇×C₂²⋊Q₈	—	2	1	no	—
312	C₇×C₂²⋊Q₈	—	2	1	no	—
313	C₇×C₂²⋊Q₈	—	2	1	no	—
314	C₇×C₂²⋊Q₈	—	2	1	no	—
315	C₇×C₂²⋊Q₈	—	2	1	no	—
316	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
317	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
318	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
322	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
323	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
324	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
325	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
326	C₇×#121	—	2	1	no	—
327	C₇×#121	—	2	1	no	—
328	C₇×#121	—	2	1	no	—
329	C₇×#121	C₂³	1	1	yes	characteristic
330	C₇×#121	C₂³	1	1	yes	characteristic
331	C₇×#121	C₂³	1	1	yes	characteristic
332	C₇×#121	C₂³	1	1	yes	characteristic
333	C₇×#121	C₂³	1	1	yes	characteristic
334	C₇×#121	C₂³	1	1	yes	characteristic
335	C₇×#120	—	2	1	no	—
336	C₇×#120	—	2	1	no	—
337	C₄×C₇×Q₈	—	2	1	no	—
338	C₄×C₇×Q₈	—	2	1	no	—
339	C₄×C₇×Q₈	—	2	1	no	—
340	C₄×C₇×Q₈	—	2	1	no	—
341	C₄×C₇×Q₈	—	2	1	no	—
342	C₄×C₇×Q₈	—	2	1	no	—
343	C₄×C₇×Q₈	—	2	1	no	—
344	C₄×C₇×Q₈	—	2	1	no	—
345	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
346	C₄×C₇×Q₈	D₄	1	1	yes	characteristic
347	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
348	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
349	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
350	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
351	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
352	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
353	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
354	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
355	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
356	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
357	C₄×C₇×D₄	—	2	1	no	—
358	C₄×C₇×D₄	—	2	1	no	—
359	C₄×C₇×D₄	—	2	1	no	—
360	C₄×C₇×D₄	—	2	1	no	—
361	C₄×C₇×D₄	—	2	1	no	—
362	C₄×C₇×D₄	—	2	1	no	—
363	C₄×C₇×D₄	—	2	1	no	—
364	C₄×C₇×D₄	—	2	1	no	—
365	C₄×C₇×D₄	—	2	1	no	—
366	C₄×C₇×D₄	—	2	1	no	—
367	C₄×C₇×D₄	D₄	1	1	yes	characteristic
368	C₄×C₇×D₄	D₄	1	1	yes	characteristic
369	C₄×C₇×D₄	D₄	1	1	yes	characteristic
370	C₄×C₇×D₄	D₄	1	1	yes	characteristic
371	C₄×C₇×D₄	D₄	1	1	yes	characteristic
372	C₄×C₇×D₄	D₄	1	1	yes	characteristic
373	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
374	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
375	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
376	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
377	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
378	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
379	C₇×#117	—	2	1	no	—
380	C₇×#117	—	2	1	no	—
381	C₇×#117	—	2	1	no	—
382	C₇×#117	—	2	1	no	—
383	C₇×#117	—	2	1	no	—
384	C₇×#117	—	2	1	no	—
385	C₇×#117	—	2	1	no	—
386	C₇×#117	—	2	1	no	—
387	C₇×#117	—	2	1	no	—
388	C₇×#117	—	2	1	no	—
389	C₇×#117	—	2	1	no	—
390	C₇×#117	C₂³	1	1	yes	characteristic
391	C₇×#117	C₂³	1	1	yes	characteristic
392	C₇×#117	C₂³	1	1	yes	characteristic
393	C₇×#117	C₂³	1	1	yes	characteristic
394	C₇×#117	C₂³	1	1	yes	characteristic
395	C₇×#117	C₂³	1	1	yes	characteristic
396	C₂×C₇×C₄⋊C₄	—	2	1	no	—
397	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
399	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
400	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
401	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₄²×C₇	—	2	1	no	—
403	C₂×C₄²×C₇	—	2	1	no	—
404	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
405	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
406	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
407	C₇×#107	C₂³	1	1	yes	characteristic
408	C₇×#107	C₂³	1	1	yes	characteristic
409	C₇×#107	C₂³	1	1	yes	characteristic
410	C₇×#107	C₂³	1	1	yes	characteristic
411	C₇×#107	C₂³	1	1	yes	characteristic
412	C₇×#107	C₂³	1	1	yes	characteristic
413	C₇×#107	C₂³	1	1	yes	characteristic
414	C₇×#107	C₂³	1	1	yes	characteristic
415	C₇×#106	C₂³	1	1	yes	characteristic
416	C₇×#106	C₂³	1	1	yes	characteristic
417	C₇×#106	C₂³	1	1	yes	characteristic
418	C₇×#106	C₂³	1	1	yes	characteristic
419	C₇×#106	C₂³	1	1	yes	characteristic
420	C₇×#106	C₂³	1	1	yes	characteristic
421	C₇×#106	C₂³	1	1	yes	characteristic
422	C₇×#106	C₂³	1	1	yes	characteristic
423	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₇×#103	C₂³	1	1	yes	characteristic
432	C₇×#103	C₂³	1	1	yes	characteristic
433	C₇×#103	C₂³	1	1	yes	characteristic
434	C₇×#103	C₂³	1	1	yes	characteristic
435	C₇×#103	C₂³	1	1	yes	characteristic
436	C₇×#103	C₂³	1	1	yes	characteristic
437	C₇×#103	C₂³	1	1	yes	characteristic
438	C₇×#103	C₂³	1	1	yes	characteristic
439	C₇×#103	C₂³	1	1	yes	characteristic
440	C₇×#103	C₂³	1	1	yes	characteristic
441	C₇×#103	C₂³	1	1	yes	characteristic
442	C₇×#103	C₂³	1	1	yes	characteristic
443	C₇×#103	C₂³	1	1	yes	characteristic
444	C₇×#103	C₂³	1	1	yes	characteristic
445	C₇×#103	C₂³	1	1	yes	characteristic
446	C₇×#103	C₂³	1	1	yes	characteristic
447	C₇×#103	C₂³	1	1	yes	characteristic
448	C₇×#103	C₂³	1	1	yes	characteristic
449	C₇×#103	C₂³	1	1	yes	characteristic
450	C₇×#103	C₂³	1	1	yes	characteristic
451	C₇×#102	C₂³	1	1	yes	characteristic
452	C₇×#102	C₂³	1	1	yes	characteristic
453	C₇×#102	C₂³	1	1	yes	characteristic
454	C₇×#102	C₂³	1	1	yes	characteristic
455	C₇×#102	C₂³	1	1	yes	characteristic
456	C₇×#102	C₂³	1	1	yes	characteristic
457	C₇×#102	C₂³	1	1	yes	characteristic
458	C₇×#102	C₂³	1	1	yes	characteristic
459	C₇×#102	C₂³	1	1	yes	characteristic
460	C₇×#102	C₂³	1	1	yes	characteristic
461	C₇×#102	C₂³	1	1	yes	characteristic
462	C₇×#102	C₂³	1	1	yes	characteristic
463	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
469	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
470	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
471	C₇×#97	C₂³	1	1	yes	characteristic
472	C₇×#97	C₂³	1	1	yes	characteristic
473	C₇×#97	C₂³	1	1	yes	characteristic
474	C₇×#97	C₂³	1	1	yes	characteristic
475	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
476	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
477	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
478	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
479	#3510	C₂×C₇	1	1	yes	characteristic, complemented
480	#3461	C₂×C₇	1	1	yes	characteristic, complemented
481	#3256	C₂×C₇	1	1	yes	characteristic, complemented
482	#3252	C₂×C₇	1	1	yes	characteristic, complemented
483	#3250	C₂×C₇	1	1	yes	characteristic, complemented
484	#3248	C₂×C₇	1	1	yes	characteristic, complemented
485	#3244	C₂×C₇	1	1	yes	characteristic, complemented
486	#3243	C₂×C₇	1	1	yes	characteristic, complemented
487	#3240	C₂×C₇	1	1	yes	characteristic, complemented
488	#3231	C₂×C₇	1	1	yes	characteristic, complemented
489	#3225	C₂×C₇	1	1	yes	characteristic, complemented
490	#3225	C₂×C₇	1	1	yes	characteristic, complemented
491	#3215	C₂×C₇	1	1	yes	characteristic, complemented
492	#3211	C₂×C₇	1	1	yes	characteristic, complemented
493	#3202	C₂×C₇	1	1	yes	characteristic, complemented
494	#3201	C₂×C₇	1	1	yes	characteristic, complemented
495	#3200	C₂×C₇	1	1	yes	characteristic, complemented
496	#3198	C₂×C₇	1	1	yes	characteristic
497	#3178	C₂×C₇	1	1	yes	characteristic, complemented
498	#3178	C₂×C₇	1	1	yes	characteristic, complemented
499	#3175	C₂×C₇	1	1	yes	characteristic, complemented
500	#3173	C₂×C₇	1	1	yes	characteristic, complemented
501	#3127	C₂×C₇	1	1	yes	characteristic, complemented
502	#3123	C₂×C₇	1	1	yes	characteristic, complemented
503	#3121	C₂×C₇	1	1	yes	characteristic, complemented
504	#3118	C₂×C₇	1	1	yes	characteristic, complemented
505	#3117	C₂×C₇	1	1	yes	characteristic, complemented
506	#3111	C₂×C₇	1	1	yes	characteristic, complemented
507	#3108	C₂×C₇	1	1	yes	characteristic, complemented
508	#3102	C₂×C₇	1	1	yes	characteristic, complemented
509	#2925	C₂×C₇	1	1	yes	characteristic, complemented
510	C₂⁴×C₇	—	2	1	no	—
511	C₇×#41	—	4	1	no	—
512	C₇×#41	—	4	1	no	—
513	C₇×#41	—	4	1	no	—
514	C₇×#41	—	4	1	no	—
515	C₂×C₇×Q₈	—	2	1	no	—
516	C₂×C₇×Q₈	—	2	1	no	—
517	C₂×C₇×Q₈	—	2	1	no	—
518	C₂×C₇×Q₈	—	2	1	no	—
519	C₂×C₇×Q₈	—	2	1	no	—
520	C₂×C₇×Q₈	—	2	1	no	—
521	C₂×C₇×Q₈	—	4	1	no	—
522	C₂×C₇×Q₈	—	4	1	no	—
523	C₂×C₇×Q₈	—	4	1	no	—
524	C₂×C₇×Q₈	—	4	1	no	—
525	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
526	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
535	C₂×C₇×D₄	—	2	1	no	—
536	C₂×C₇×D₄	—	2	1	no	—
537	C₂×C₇×D₄	—	2	1	no	—
538	C₂×C₇×D₄	—	2	1	no	—
539	C₂×C₇×D₄	—	4	1	no	—
540	C₂×C₇×D₄	—	4	1	no	—
541	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
542	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
543	C₂×C₇×D₄	C₂×D₄	1	1	yes	characteristic
544	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
545	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
546	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
555	C₂²×C₄×C₇	—	2	1	no	—
556	C₂²×C₄×C₇	—	2	1	no	—
557	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
558	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
559	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
560	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
561	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
562	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
563	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
566	C₇×Q₁₆	—	4	1	no	—
567	C₇×Q₁₆	—	4	1	no	—
568	C₇×Q₁₆	—	4	1	no	—
569	C₇×Q₁₆	—	4	1	no	—
570	C₇×Q₁₆	—	4	1	no	—
571	C₇×Q₁₆	—	4	1	no	—
572	C₇×SD₁₆	—	4	1	no	—
573	C₇×SD₁₆	—	4	1	no	—
574	C₇×SD₁₆	—	4	1	no	—
575	C₇×SD₁₆	—	4	1	no	—
576	C₇×SD₁₆	—	4	1	no	—
577	C₇×SD₁₆	—	4	1	no	—
578	C₇×SD₁₆	—	4	1	no	—
579	C₇×SD₁₆	—	4	1	no	—
580	C₇×D₈	—	4	1	no	—
581	C₇×D₈	—	4	1	no	—
582	C₇×M₁₆	—	4	1	no	—
583	C₇×M₁₆	—	4	1	no	—
584	C₂×C₇×C₈	—	4	1	no	—
585	C₂×C₇×C₈	—	4	1	no	—
586	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
587	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
588	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
592	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
593	C₂×C₇×C₈	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	—	2	1	no	—
606	C₇×C₄⋊C₄	—	2	1	no	—
607	C₇×C₄⋊C₄	—	2	1	no	—
608	C₇×C₄⋊C₄	—	2	1	no	—
609	C₇×C₄⋊C₄	—	2	1	no	—
610	C₇×C₄⋊C₄	—	2	1	no	—
611	C₇×C₄⋊C₄	—	2	1	no	—
612	C₇×C₄⋊C₄	—	2	1	no	—
613	C₇×C₄⋊C₄	—	2	1	no	—
614	C₇×C₄⋊C₄	—	2	1	no	—
615	C₇×C₄⋊C₄	—	2	1	no	—
616	C₇×C₄⋊C₄	—	2	1	no	—
617	C₇×C₄⋊C₄	—	2	1	no	—
618	C₇×C₄⋊C₄	—	2	1	no	—
619	C₇×C₄⋊C₄	—	2	1	no	—
620	C₇×C₄⋊C₄	—	2	1	no	—
621	C₇×C₄⋊C₄	—	2	1	no	—
622	C₇×C₄⋊C₄	—	2	1	no	—
623	C₇×C₄⋊C₄	—	2	1	no	—
624	C₇×C₄⋊C₄	—	2	1	no	—
625	C₇×C₄⋊C₄	—	2	1	no	—
626	C₇×C₄⋊C₄	—	2	1	no	—
627	C₇×C₄⋊C₄	—	2	1	no	—
628	C₇×C₄⋊C₄	—	2	1	no	—
629	C₇×C₄⋊C₄	—	2	1	no	—
630	C₇×C₄⋊C₄	—	2	1	no	—
631	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
643	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₇×C₂²⋊C₄	—	2	1	no	—
646	C₇×C₂²⋊C₄	—	2	1	no	—
647	C₇×C₂²⋊C₄	—	2	1	no	—
648	C₇×C₂²⋊C₄	—	2	1	no	—
649	C₇×C₂²⋊C₄	—	2	1	no	—
650	C₇×C₂²⋊C₄	—	2	1	no	—
651	C₇×C₂²⋊C₄	—	2	1	no	—
652	C₇×C₂²⋊C₄	—	2	1	no	—
653	C₇×C₂²⋊C₄	—	2	1	no	—
654	C₇×C₂²⋊C₄	—	2	1	no	—
655	C₇×C₂²⋊C₄	—	2	1	no	—
656	C₇×C₂²⋊C₄	—	2	1	no	—
657	C₇×C₂²⋊C₄	—	2	1	no	—
658	C₇×C₂²⋊C₄	—	2	1	no	—
659	C₇×C₂²⋊C₄	—	2	1	no	—
660	C₇×C₂²⋊C₄	—	2	1	no	—
661	C₇×C₂²⋊C₄	—	2	1	no	—
662	C₇×C₂²⋊C₄	—	2	1	no	—
663	C₇×C₂²⋊C₄	—	2	1	no	—
664	C₇×C₂²⋊C₄	—	2	1	no	—
665	C₇×C₂²⋊C₄	—	2	1	no	—
666	C₇×C₂²⋊C₄	—	2	1	no	—
667	C₇×C₂²⋊C₄	—	2	1	no	—
668	C₇×C₂²⋊C₄	—	2	1	no	—
669	C₇×C₂²⋊C₄	—	2	1	no	—
670	C₇×C₂²⋊C₄	—	2	1	no	—
671	C₇×C₂²⋊C₄	—	2	1	no	—
672	C₇×C₂²⋊C₄	—	2	1	no	—
673	C₇×C₂²⋊C₄	—	2	1	no	—
674	C₇×C₂²⋊C₄	—	2	1	no	—
675	C₇×C₂²⋊C₄	—	2	1	no	—
676	C₇×C₂²⋊C₄	—	2	1	no	—
677	C₇×C₂²⋊C₄	—	2	1	no	—
678	C₇×C₂²⋊C₄	—	2	1	no	—
679	C₇×C₂²⋊C₄	—	2	1	no	—
680	C₇×C₂²⋊C₄	—	2	1	no	—
681	C₇×C₂²⋊C₄	—	2	1	no	—
682	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
684	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
685	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
687	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₄²×C₇	—	2	1	no	—
689	C₄²×C₇	—	2	1	no	—
690	C₄²×C₇	—	2	1	no	—
691	C₄²×C₇	—	2	1	no	—
692	C₄²×C₇	—	2	1	no	—
693	C₄²×C₇	—	2	1	no	—
694	C₄²×C₇	—	2	1	no	—
695	C₄²×C₇	—	2	1	no	—
696	C₄²×C₇	—	2	1	no	—
697	C₄²×C₇	—	2	1	no	—
698	C₄²×C₇	—	2	1	no	—
699	C₄²×C₇	—	2	1	no	—
700	C₄²×C₇	—	2	1	no	—
701	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
703	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
704	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
705	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
706	C₄²×C₇	C₂×D₄	1	1	yes	characteristic
707	C₄²×C₇	C₂⁴	1	1	yes	characteristic
708	C₄²×C₇	C₂⁴	1	1	yes	characteristic
709	C₄²×C₇	C₂⁴	1	1	yes	characteristic
710	C₄²×C₇	C₂⁴	1	1	yes	characteristic
711	#559	—	2	1	no	—
712	#559	—	2	1	no	—
713	#556	—	2	1	no	—
714	#556	—	2	1	no	—
715	#551	—	2	1	no	—
716	#551	—	2	1	no	—
717	#551	—	2	1	no	—
718	#551	—	2	1	no	—
719	#544	C₂²×C₇	1	1	yes	characteristic, complemented
720	#542	—	2	1	no	—
721	#542	C₂²×C₇	1	1	yes	characteristic
722	#542	C₂²×C₇	1	1	yes	characteristic
723	#542	C₂²×C₇	1	1	yes	characteristic
724	#542	C₂²×C₇	1	1	yes	characteristic
725	#542	C₂²×C₇	1	1	yes	characteristic
726	#542	C₂²×C₇	1	1	yes	characteristic, complemented
727	#541	—	2	1	no	—
728	#541	C₂²×C₇	1	1	yes	characteristic
729	#541	C₂²×C₇	1	1	yes	characteristic, complemented
730	#539	—	2	1	no	—
731	#539	—	2	1	no	—
732	#537	C₂²×C₇	1	1	yes	characteristic
733	#536	C₂²×C₇	1	1	yes	characteristic
734	#536	C₂²×C₇	1	1	yes	characteristic
735	#536	C₂²×C₇	1	1	yes	characteristic, complemented
736	#535	C₂²×C₇	1	1	yes	characteristic
737	#533	—	2	1	no	—
738	#533	C₂²×C₇	1	1	yes	characteristic
739	#533	C₂²×C₇	1	1	yes	characteristic
740	#533	C₂²×C₇	1	1	yes	characteristic, complemented
741	#529	—	2	1	no	—
742	#529	—	2	1	no	—
743	#529	—	2	1	no	—
744	#529	C₂²×C₇	1	1	yes	characteristic
745	#529	C₂²×C₇	1	1	yes	characteristic
746	#529	C₂²×C₇	1	1	yes	characteristic
747	#529	C₂²×C₇	1	1	yes	characteristic
748	#529	C₂²×C₇	1	1	yes	characteristic
749	#529	C₂²×C₇	1	1	yes	characteristic, complemented
750	C₂×#124	C₂²×C₇	1	1	yes	characteristic
751	#519	C₂²×C₇	1	1	yes	characteristic
752	#518	C₂²×C₇	1	1	yes	characteristic
753	C₄×#41	C₂²×C₇	1	1	yes	characteristic
754	C₄×#41	C₂²×C₇	1	1	yes	characteristic, complemented
755	C₂×C₄×Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
756	#501	C₂²×C₇	1	1	yes	characteristic, complemented
757	#501	C₂²×C₇	1	1	yes	characteristic, complemented
758	#500	C₂²×C₇	1	1	yes	characteristic, complemented
759	#498	C₂²×C₇	1	1	yes	characteristic, complemented
760	#497	C₂²×C₇	1	1	yes	characteristic
761	#497	C₂²×C₇	1	1	yes	characteristic
762	#495	C₂²×C₇	1	1	yes	characteristic
763	#495	C₂²×C₇	1	1	yes	characteristic
764	#489	C₂²×C₇	1	1	yes	characteristic
765	#489	C₂²×C₇	1	1	yes	characteristic
766	#489	C₂²×C₇	1	1	yes	characteristic, complemented
767	#489	C₂²×C₇	1	1	yes	characteristic, complemented
768	#488	C₂²×C₇	1	1	yes	characteristic
769	#488	C₂²×C₇	1	1	yes	characteristic
770	#487	C₂²×C₇	1	1	yes	characteristic, complemented
771	#487	C₂²×C₇	1	1	yes	characteristic, complemented
772	#485	C₂²×C₇	1	1	yes	characteristic
773	#485	C₂²×C₇	1	1	yes	characteristic
774	#485	C₂²×C₇	1	1	yes	characteristic
775	#485	C₂²×C₇	1	1	yes	characteristic
776	#485	C₂²×C₇	1	1	yes	characteristic
777	#485	C₂²×C₇	1	1	yes	characteristic
778	#485	C₂²×C₇	1	1	yes	characteristic, complemented
779	#485	C₂²×C₇	1	1	yes	characteristic, complemented
780	#484	C₂²×C₇	1	1	yes	characteristic, complemented
781	#483	C₂²×C₇	1	1	yes	characteristic, complemented
782	#482	C₂²×C₇	1	1	yes	characteristic
783	#482	C₂²×C₇	1	1	yes	characteristic
784	#482	C₂²×C₇	1	1	yes	characteristic
785	#482	C₂²×C₇	1	1	yes	characteristic
786	#481	C₂²×C₇	1	1	yes	characteristic
787	#480	C₂²×C₇	1	1	yes	characteristic
788	#479	C₂²×C₇	1	1	yes	characteristic, complemented
789	#479	C₂²×C₇	1	1	yes	characteristic, complemented
790	#479	C₂²×C₇	1	1	yes	characteristic, complemented
791	#479	C₂²×C₇	1	1	yes	characteristic, complemented
792	#479	C₂²×C₇	1	1	yes	characteristic, complemented
793	#479	C₂²×C₇	1	1	yes	characteristic, complemented
794	#479	C₂²×C₇	1	1	yes	characteristic, complemented
795	#479	C₂²×C₇	1	1	yes	characteristic, complemented
796	#478	C₂²×C₇	1	1	yes	characteristic
797	#478	C₂²×C₇	1	1	yes	characteristic
798	#478	C₂²×C₇	1	1	yes	characteristic, complemented
799	#478	C₂²×C₇	1	1	yes	characteristic, complemented
800	#477	C₂²×C₇	1	1	yes	characteristic, complemented
801	#476	C₂²×C₇	1	1	yes	characteristic
802	#475	C₂²×C₇	1	1	yes	characteristic, complemented
803	#474	C₂²×C₇	1	1	yes	characteristic
804	#470	C₂²×C₇	1	1	yes	characteristic, complemented
805	#470	C₂²×C₇	1	1	yes	characteristic, complemented
806	#470	C₂²×C₇	1	1	yes	characteristic, complemented
807	#469	C₂²×C₇	1	1	yes	characteristic
808	#468	C₂²×C₇	1	1	yes	characteristic
809	#468	C₂²×C₇	1	1	yes	characteristic
810	#468	C₂²×C₇	1	1	yes	characteristic
811	#468	C₂²×C₇	1	1	yes	characteristic, complemented
812	#467	C₂²×C₇	1	1	yes	characteristic, complemented
813	#467	C₂²×C₇	1	1	yes	characteristic, complemented
814	#467	C₂²×C₇	1	1	yes	characteristic, complemented
815	#466	C₂²×C₇	1	1	yes	characteristic
816	#465	C₂²×C₇	1	1	yes	characteristic
817	#465	C₂²×C₇	1	1	yes	characteristic
818	#465	C₂²×C₇	1	1	yes	characteristic
819	#465	C₂²×C₇	1	1	yes	characteristic, complemented
820	#464	C₂²×C₇	1	1	yes	characteristic
821	#464	C₂²×C₇	1	1	yes	characteristic
822	#464	C₂²×C₇	1	1	yes	characteristic
823	#464	C₂²×C₇	1	1	yes	characteristic
824	#464	C₂²×C₇	1	1	yes	characteristic
825	#464	C₂²×C₇	1	1	yes	characteristic
826	#464	C₂²×C₇	1	1	yes	characteristic, complemented
827	#464	C₂²×C₇	1	1	yes	characteristic, complemented
828	#463	C₂²×C₇	1	1	yes	characteristic
829	#463	C₂²×C₇	1	1	yes	characteristic
830	#463	C₂²×C₇	1	1	yes	characteristic
831	#463	C₂²×C₇	1	1	yes	characteristic
832	#462	C₂²×C₇	1	1	yes	characteristic, complemented
833	#462	C₂²×C₇	1	1	yes	characteristic, complemented
834	#461	C₂²×C₇	1	1	yes	characteristic
835	#461	C₂²×C₇	1	1	yes	characteristic
836	#452	C₂²×C₇	1	1	yes	characteristic, complemented
837	#452	C₂²×C₇	1	1	yes	characteristic, complemented
838	#451	C₂²×C₇	1	1	yes	characteristic
839	#451	C₂²×C₇	1	1	yes	characteristic
840	#451	C₂²×C₇	1	1	yes	characteristic
841	#451	C₂²×C₇	1	1	yes	characteristic, complemented
842	#451	C₂²×C₇	1	1	yes	characteristic, complemented
843	#450	C₂²×C₇	1	1	yes	characteristic
844	#450	C₂²×C₇	1	1	yes	characteristic
845	#450	C₂²×C₇	1	1	yes	characteristic
846	#449	C₂²×C₇	1	1	yes	characteristic
847	#449	C₂²×C₇	1	1	yes	characteristic
848	#448	C₂²×C₇	1	1	yes	characteristic
849	#448	C₂²×C₇	1	1	yes	characteristic
850	#448	C₂²×C₇	1	1	yes	characteristic
851	#447	C₂²×C₇	1	1	yes	characteristic
852	#442	C₂²×C₇	1	1	yes	characteristic
853	#441	C₂²×C₇	1	1	yes	characteristic, complemented
854	#441	C₂²×C₇	1	1	yes	characteristic, complemented
855	#441	C₂²×C₇	1	1	yes	characteristic, complemented
856	#440	C₂²×C₇	1	1	yes	characteristic
857	#440	C₂²×C₇	1	1	yes	characteristic
858	#440	C₂²×C₇	1	1	yes	characteristic
859	#440	C₂²×C₇	1	1	yes	characteristic, complemented
860	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
861	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
862	C₄×Q₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
863	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
864	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
865	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic
866	C₄×SD₁₆	C₂²×C₇	1	1	yes	characteristic, complemented
867	C₄×D₈	C₂²×C₇	1	1	yes	characteristic
868	#433	C₂²×C₇	1	1	yes	characteristic
869	#433	C₂²×C₇	1	1	yes	characteristic
870	#433	C₂²×C₇	1	1	yes	characteristic, complemented
871	#433	C₂²×C₇	1	1	yes	characteristic, complemented
872	#432	C₂²×C₇	1	1	yes	characteristic
873	#432	C₂²×C₇	1	1	yes	characteristic, complemented
874	#431	C₂²×C₇	1	1	yes	characteristic
875	#431	C₂²×C₇	1	1	yes	characteristic, complemented
876	#423	C₂²×C₇	1	1	yes	characteristic, complemented
877	C₂×C₄⋊C₈	C₂²×C₇	1	1	yes	characteristic, complemented
878	#408	C₂²×C₇	1	1	yes	characteristic
879	#408	C₂²×C₇	1	1	yes	characteristic
880	#405	C₂²×C₇	1	1	yes	characteristic, complemented
881	#405	C₂²×C₇	1	1	yes	characteristic, complemented
882	C₂³×C₇	—	2	1	no	—
883	C₂³×C₇	—	2	1	no	—
884	C₂³×C₇	—	2	1	no	—
885	C₂³×C₇	—	4	2	no	—
886	C₂³×C₇	—	8	1	no	—
887	C₂³×C₇	—	8	1	no	—
888	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
889	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
890	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
891	C₇×Q₈	—	2	1	no	—
892	C₇×Q₈	—	2	1	no	—
893	C₇×Q₈	—	2	1	no	—
894	C₇×Q₈	—	2	1	no	—
895	C₇×Q₈	—	2	1	no	—
896	C₇×Q₈	—	2	1	no	—
897	C₇×Q₈	—	2	1	no	—
898	C₇×Q₈	—	2	1	no	—
899	C₇×Q₈	—	2	1	no	—
900	C₇×Q₈	—	2	1	no	—
901	C₇×Q₈	—	4	1	no	—
902	C₇×Q₈	—	4	2	no	—
903	C₇×Q₈	—	4	2	no	—
904	C₇×Q₈	—	8	1	no	—
905	C₇×Q₈	—	8	1	no	—
906	C₇×Q₈	—	8	1	no	—
907	C₇×Q₈	—	8	1	no	—
908	C₇×D₄	—	2	1	no	—
909	C₇×D₄	—	2	1	no	—
910	C₇×D₄	—	2	1	no	—
911	C₇×D₄	—	2	1	no	—
912	C₇×D₄	—	2	1	no	—
913	C₇×D₄	—	2	1	no	—
914	C₇×D₄	—	4	1	no	—
915	C₇×D₄	—	4	1	no	—
916	C₇×D₄	—	4	1	no	—
917	C₇×D₄	—	4	2	no	—
918	C₇×D₄	—	4	2	no	—
919	C₇×D₄	—	8	1	no	—
920	C₇×D₄	—	8	1	no	—
921	C₇×D₄	—	8	1	no	—
922	C₇×D₄	—	8	1	no	—
923	C₇×D₄	—	8	1	no	—
924	C₇×D₄	—	8	1	no	—
925	C₂×C₄×C₇	—	2	1	no	—
926	C₂×C₄×C₇	—	2	1	no	—
927	C₂×C₄×C₇	—	2	1	no	—
928	C₂×C₄×C₇	—	2	1	no	—
929	C₂×C₄×C₇	—	2	1	no	—
930	C₂×C₄×C₇	—	2	1	no	—
931	C₂×C₄×C₇	—	2	1	no	—
932	C₂×C₄×C₇	—	2	1	no	—
933	C₂×C₄×C₇	—	2	1	no	—
934	C₂×C₄×C₇	—	2	1	no	—
935	C₂×C₄×C₇	—	2	1	no	—
936	C₂×C₄×C₇	—	2	1	no	—
937	C₂×C₄×C₇	—	2	1	no	—
938	C₂×C₄×C₇	—	2	1	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	—	4	1	no	—
945	C₂×C₄×C₇	—	4	1	no	—
946	C₂×C₄×C₇	—	4	1	no	—
947	C₂×C₄×C₇	—	4	1	no	—
948	C₂×C₄×C₇	—	4	1	no	—
949	C₂×C₄×C₇	—	4	1	no	—
950	C₂×C₄×C₇	—	4	2	no	—
951	C₂×C₄×C₇	—	4	2	no	—
952	C₂×C₄×C₇	—	4	2	no	—
953	C₂×C₄×C₇	—	4	2	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	C₂²×D₄	1	1	yes	characteristic
961	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
972	C₇×C₈	—	2	1	no	—
973	C₇×C₈	—	2	1	no	—
974	C₇×C₈	—	2	1	no	—
975	C₇×C₈	—	2	1	no	—
976	C₇×C₈	—	2	1	no	—
977	C₇×C₈	—	2	1	no	—
978	C₇×C₈	—	2	1	no	—
979	C₇×C₈	—	2	1	no	—
980	C₂×#41	C₂³×C₇	1	1	yes	characteristic
981	C₂×#41	C₂³×C₇	1	1	yes	characteristic
982	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
983	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
984	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
985	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
986	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
987	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
988	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
989	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
990	C₂×Q₁₆	C₂³×C₇	1	1	yes	characteristic
991	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
992	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
993	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
994	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
995	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
996	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
997	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
998	C₂×SD₁₆	C₂³×C₇	1	1	yes	characteristic
999	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1000	C₂×D₈	C₂³×C₇	1	1	yes	characteristic
1001	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1002	C₂×M₁₆	C₂³×C₇	1	1	yes	characteristic
1003	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1004	C₂²×C₈	C₂³×C₇	1	1	yes	characteristic
1005	C₄⋊Q₈	—	2	1	no	—
1006	C₄⋊Q₈	—	2	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1009	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1010	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1011	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1013	C₄⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1014	#127	—	2	1	no	—
1015	#126	—	2	1	no	—
1016	#126	—	2	1	no	—
1017	#126	—	2	1	no	—
1018	#126	—	2	1	no	—
1019	#126	—	2	1	no	—
1020	#126	—	2	1	no	—
1021	#126	—	2	1	no	—
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	2	1	no	—
1025	#126	—	2	1	no	—
1026	#126	—	2	1	no	—
1027	#126	—	2	1	no	—
1028	#126	—	2	1	no	—
1029	#126	—	2	1	no	—
1030	#126	—	2	1	no	—
1031	#125	—	2	1	no	—
1032	#125	—	2	1	no	—
1033	#125	—	2	1	no	—
1034	#125	—	2	1	no	—
1035	#125	—	2	1	no	—
1036	#125	—	2	1	no	—
1037	#125	—	2	1	no	—
1038	#125	C₂³×C₇	1	1	yes	characteristic
1039	#125	C₂³×C₇	1	1	yes	characteristic
1040	#125	C₂³×C₇	1	1	yes	characteristic
1041	#125	C₂³×C₇	1	1	yes	characteristic
1042	#124	—	2	1	no	—
1043	#124	—	2	1	no	—
1044	#124	—	2	1	no	—
1045	#124	—	2	1	no	—
1046	#124	—	2	1	no	—
1047	#124	—	2	1	no	—
1048	#124	—	2	1	no	—
1049	#124	—	2	1	no	—
1050	#124	—	2	1	no	—
1051	#124	—	2	1	no	—
1052	#124	—	2	1	no	—
1053	#124	C₂³×C₇	1	1	yes	characteristic
1054	#124	C₂³×C₇	1	1	yes	characteristic
1055	#124	C₂³×C₇	1	1	yes	characteristic
1056	#124	C₂³×C₇	1	1	yes	characteristic
1057	#124	C₂³×C₇	1	1	yes	characteristic
1058	#124	C₂³×C₇	1	1	yes	characteristic
1059	#123	—	2	1	no	—
1060	#123	—	2	1	no	—
1061	#123	—	2	1	no	—
1062	#123	—	2	1	no	—
1063	#123	—	2	1	no	—
1064	#123	—	2	1	no	—
1065	#123	—	2	1	no	—
1066	#123	—	2	1	no	—
1067	#123	—	2	1	no	—
1068	#123	—	2	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	2	1	no	—
1071	#123	—	2	1	no	—
1072	#123	—	2	1	no	—
1073	#123	—	2	1	no	—
1074	#123	—	2	1	no	—
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	C₂²⋊Q₈	—	2	1	no	—
1078	C₂²⋊Q₈	—	2	1	no	—
1079	C₂²⋊Q₈	—	2	1	no	—
1080	C₂²⋊Q₈	—	2	1	no	—
1081	C₂²⋊Q₈	—	2	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	2	1	no	—
1086	C₂²⋊Q₈	—	2	1	no	—
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	2	1	no	—
1092	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1093	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1094	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1095	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1096	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1097	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1098	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂³×C₇	1	1	yes	characteristic
1102	#121	—	2	1	no	—
1103	#121	—	2	1	no	—
1104	#121	—	2	1	no	—
1105	#121	C₂³×C₇	1	1	yes	characteristic
1106	#121	C₂³×C₇	1	1	yes	characteristic
1107	#121	C₂³×C₇	1	1	yes	characteristic
1108	#121	C₂³×C₇	1	1	yes	characteristic
1109	#121	C₂³×C₇	1	1	yes	characteristic
1110	#121	C₂³×C₇	1	1	yes	characteristic
1111	#120	—	2	1	no	—
1112	#120	—	2	1	no	—
1113	C₄×Q₈	—	2	1	no	—
1114	C₄×Q₈	—	2	1	no	—
1115	C₄×Q₈	—	2	1	no	—
1116	C₄×Q₈	—	2	1	no	—
1117	C₄×Q₈	—	2	1	no	—
1118	C₄×Q₈	—	2	1	no	—
1119	C₄×Q₈	—	2	1	no	—
1120	C₄×Q₈	—	2	1	no	—
1121	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
1122	C₄×Q₈	C₇×D₄	1	1	yes	characteristic
1123	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1124	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1125	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1126	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1127	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1128	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1129	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1130	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1131	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1132	C₄×Q₈	C₂³×C₇	1	1	yes	characteristic
1133	C₄×D₄	—	2	1	no	—
1134	C₄×D₄	—	2	1	no	—
1135	C₄×D₄	—	2	1	no	—
1136	C₄×D₄	—	2	1	no	—
1137	C₄×D₄	—	2	1	no	—
1138	C₄×D₄	—	2	1	no	—
1139	C₄×D₄	—	2	1	no	—
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1144	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1145	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1146	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1147	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1148	C₄×D₄	C₇×D₄	1	1	yes	characteristic
1149	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1150	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1151	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1152	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1153	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1154	C₄×D₄	C₂³×C₇	1	1	yes	characteristic
1155	#117	—	2	1	no	—
1156	#117	—	2	1	no	—
1157	#117	—	2	1	no	—
1158	#117	—	2	1	no	—
1159	#117	—	2	1	no	—
1160	#117	—	2	1	no	—
1161	#117	—	2	1	no	—
1162	#117	—	2	1	no	—
1163	#117	—	2	1	no	—
1164	#117	—	2	1	no	—
1165	#117	—	2	1	no	—
1166	#117	C₂³×C₇	1	1	yes	characteristic
1167	#117	C₂³×C₇	1	1	yes	characteristic
1168	#117	C₂³×C₇	1	1	yes	characteristic
1169	#117	C₂³×C₇	1	1	yes	characteristic
1170	#117	C₂³×C₇	1	1	yes	characteristic
1171	#117	C₂³×C₇	1	1	yes	characteristic
1172	C₂×C₄⋊C₄	—	2	1	no	—
1173	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	—	2	1	no	—
1175	C₂×C₂²⋊C₄	—	2	1	no	—
1176	C₂×C₂²⋊C₄	—	2	1	no	—
1177	C₂×C₂²⋊C₄	—	2	1	no	—
1178	C₂×C₄²	—	2	1	no	—
1179	C₂×C₄²	—	2	1	no	—
1180	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1181	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1182	C₂×C₄²	C₂³×C₇	1	1	yes	characteristic
1183	#107	C₂³×C₇	1	1	yes	characteristic
1184	#107	C₂³×C₇	1	1	yes	characteristic
1185	#107	C₂³×C₇	1	1	yes	characteristic
1186	#107	C₂³×C₇	1	1	yes	characteristic
1187	#107	C₂³×C₇	1	1	yes	characteristic
1188	#107	C₂³×C₇	1	1	yes	characteristic
1189	#107	C₂³×C₇	1	1	yes	characteristic
1190	#107	C₂³×C₇	1	1	yes	characteristic
1191	#106	C₂³×C₇	1	1	yes	characteristic
1192	#106	C₂³×C₇	1	1	yes	characteristic
1193	#106	C₂³×C₇	1	1	yes	characteristic
1194	#106	C₂³×C₇	1	1	yes	characteristic
1195	#106	C₂³×C₇	1	1	yes	characteristic
1196	#106	C₂³×C₇	1	1	yes	characteristic
1197	#106	C₂³×C₇	1	1	yes	characteristic
1198	#106	C₂³×C₇	1	1	yes	characteristic
1199	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1200	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1201	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1202	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1203	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1204	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1205	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1206	C₄⋊C₈	C₂³×C₇	1	1	yes	characteristic
1207	#103	C₂³×C₇	1	1	yes	characteristic
1208	#103	C₂³×C₇	1	1	yes	characteristic
1209	#103	C₂³×C₇	1	1	yes	characteristic
1210	#103	C₂³×C₇	1	1	yes	characteristic
1211	#103	C₂³×C₇	1	1	yes	characteristic
1212	#103	C₂³×C₇	1	1	yes	characteristic
1213	#103	C₂³×C₇	1	1	yes	characteristic
1214	#103	C₂³×C₇	1	1	yes	characteristic
1215	#103	C₂³×C₇	1	1	yes	characteristic
1216	#103	C₂³×C₇	1	1	yes	characteristic
1217	#103	C₂³×C₇	1	1	yes	characteristic
1218	#103	C₂³×C₇	1	1	yes	characteristic
1219	#103	C₂³×C₇	1	1	yes	characteristic
1220	#103	C₂³×C₇	1	1	yes	characteristic
1221	#103	C₂³×C₇	1	1	yes	characteristic
1222	#103	C₂³×C₇	1	1	yes	characteristic
1223	#103	C₂³×C₇	1	1	yes	characteristic
1224	#103	C₂³×C₇	1	1	yes	characteristic
1225	#103	C₂³×C₇	1	1	yes	characteristic
1226	#103	C₂³×C₇	1	1	yes	characteristic
1227	#102	C₂³×C₇	1	1	yes	characteristic
1228	#102	C₂³×C₇	1	1	yes	characteristic
1229	#102	C₂³×C₇	1	1	yes	characteristic
1230	#102	C₂³×C₇	1	1	yes	characteristic
1231	#102	C₂³×C₇	1	1	yes	characteristic
1232	#102	C₂³×C₇	1	1	yes	characteristic
1233	#102	C₂³×C₇	1	1	yes	characteristic
1234	#102	C₂³×C₇	1	1	yes	characteristic
1235	#102	C₂³×C₇	1	1	yes	characteristic
1236	#102	C₂³×C₇	1	1	yes	characteristic
1237	#102	C₂³×C₇	1	1	yes	characteristic
1238	#102	C₂³×C₇	1	1	yes	characteristic
1239	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1240	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1241	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1242	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1243	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1244	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1245	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1246	C₂²⋊C₈	C₂³×C₇	1	1	yes	characteristic
1247	#97	C₂³×C₇	1	1	yes	characteristic
1248	#97	C₂³×C₇	1	1	yes	characteristic
1249	#97	C₂³×C₇	1	1	yes	characteristic
1250	#97	C₂³×C₇	1	1	yes	characteristic
1251	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1252	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1253	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1254	C₄×C₈	C₂³×C₇	1	1	yes	characteristic
1255	C₂²×C₇	—	2	1	no	—
1256	C₂²×C₇	—	2	1	no	—
1257	C₂²×C₇	—	2	1	no	—
1258	C₂²×C₇	—	2	1	no	—
1259	C₂²×C₇	—	2	1	no	—
1260	C₂²×C₇	—	2	1	no	—
1261	C₂²×C₇	—	2	1	no	—
1262	C₂²×C₇	—	2	1	no	—
1263	C₂²×C₇	—	2	1	no	—
1264	C₂²×C₇	—	4	1	no	—
1265	C₂²×C₇	—	4	1	no	—
1266	C₂²×C₇	—	4	1	no	—
1267	C₂²×C₇	—	4	1	no	—
1268	C₂²×C₇	—	4	1	no	—
1269	C₂²×C₇	—	4	1	no	—
1270	C₂²×C₇	—	4	1	no	—
1271	C₂²×C₇	—	4	1	no	—
1272	C₂²×C₇	—	4	1	no	—
1273	C₂²×C₇	—	16	2	no	—
1274	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1275	C₄×C₇	—	2	1	no	—
1276	C₄×C₇	—	2	1	no	—
1277	C₄×C₇	—	2	1	no	—
1278	C₄×C₇	—	2	1	no	—
1279	C₄×C₇	—	2	1	no	—
1280	C₄×C₇	—	2	1	no	—
1281	C₄×C₇	—	2	1	no	—
1282	C₄×C₇	—	2	1	no	—
1283	C₄×C₇	—	2	1	no	—
1284	C₄×C₇	—	2	1	no	—
1285	C₄×C₇	—	2	1	no	—
1286	C₄×C₇	—	4	1	no	—
1287	C₄×C₇	—	4	1	no	—
1288	C₄×C₇	—	4	1	no	—
1289	C₄×C₇	—	4	1	no	—
1290	C₄×C₇	—	4	1	no	—
1291	C₄×C₇	—	4	1	no	—
1292	C₄×C₇	—	4	1	no	—
1293	C₄×C₇	—	4	1	no	—
1294	C₄×C₇	—	4	1	no	—
1295	C₄×C₇	—	4	1	no	—
1296	C₄×C₇	—	4	1	no	—
1297	C₄×C₇	—	4	1	no	—
1298	C₄×C₇	—	4	1	no	—
1299	C₄×C₇	#585	1	1	yes	characteristic
1300	C₄×C₇	#585	1	1	yes	characteristic
1301	C₂⁴	—	2	1	no	—
1302	#41	—	4	1	no	—
1303	#41	—	4	1	no	—
1304	#41	—	4	1	no	—
1305	#41	—	4	1	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	2	1	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	4	1	no	—
1313	C₂×Q₈	—	4	1	no	—
1314	C₂×Q₈	—	4	1	no	—
1315	C₂×Q₈	—	4	1	no	—
1316	C₂×Q₈	C₂×C₇×D₄	1	1	yes	characteristic
1317	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1318	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1319	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1320	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1321	C₂×Q₈	C₂⁴×C₇	1	1	yes	characteristic
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	2	1	no	—
1324	C₂×D₄	—	2	1	no	—
1325	C₂×D₄	—	2	1	no	—
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	4	1	no	—
1331	C₂×D₄	—	4	1	no	—
1332	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1333	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1334	C₂×D₄	C₂×C₇×D₄	1	1	yes	characteristic
1335	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1336	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1337	C₂×D₄	C₂⁴×C₇	1	1	yes	characteristic
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1349	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1350	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1351	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1352	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1353	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
1357	Q₁₆	—	4	1	no	—
1358	Q₁₆	—	4	1	no	—
1359	Q₁₆	—	4	1	no	—
1360	Q₁₆	—	4	1	no	—
1361	Q₁₆	—	4	1	no	—
1362	Q₁₆	—	4	1	no	—
1363	SD₁₆	—	4	1	no	—
1364	SD₁₆	—	4	1	no	—
1365	SD₁₆	—	4	1	no	—
1366	SD₁₆	—	4	1	no	—
1367	SD₁₆	—	4	1	no	—
1368	SD₁₆	—	4	1	no	—
1369	SD₁₆	—	4	1	no	—
1370	SD₁₆	—	4	1	no	—
1371	D₈	—	4	1	no	—
1372	D₈	—	4	1	no	—
1373	M₁₆	—	4	1	no	—
1374	M₁₆	—	4	1	no	—
1375	C₂×C₈	—	4	1	no	—
1376	C₂×C₈	—	4	1	no	—
1377	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1378	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1379	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1380	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1381	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1382	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1383	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1384	C₂×C₈	C₂⁴×C₇	1	1	yes	characteristic
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1423	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1424	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1425	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1426	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1427	C₄⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1428	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1429	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1430	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1431	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1432	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1433	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1434	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1435	C₄⋊C₄	C₂⁴×C₇	1	1	yes	characteristic
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1474	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1475	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1476	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1477	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1478	C₂²⋊C₄	C₂×C₇×D₄	1	1	yes	characteristic
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1493	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1494	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1495	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1496	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1497	C₄²	C₂×C₇×D₄	1	1	yes	characteristic
1498	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1499	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1500	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1501	C₄²	C₂⁴×C₇	1	1	yes	characteristic
1502	C₂×C₇	—	4	1	no	—
1503	C₂×C₇	—	4	1	no	—
1504	C₂×C₇	—	4	1	no	—
1505	C₂×C₇	—	8	1	no	—
1506	C₂×C₇	—	8	1	no	—
1507	C₂×C₇	—	8	1	no	—
1508	C₂×C₇	#3449	1	1	yes	characteristic
1509	C₂×C₇	#3584	1	1	yes	characteristic
1510	C₂×C₇	#3586	1	1	yes	characteristic
1511	C₂³	—	2	1	no	—
1512	C₂³	—	2	1	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	4	2	no	—
1515	C₂³	—	8	1	no	—
1516	C₂³	—	8	1	no	—
1517	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1518	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1519	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
1520	Q₈	—	2	1	no	—
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	4	1	no	—
1531	Q₈	—	4	2	no	—
1532	Q₈	—	4	2	no	—
1533	Q₈	—	8	1	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	8	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	4	1	no	—
1544	D₄	—	4	1	no	—
1545	D₄	—	4	1	no	—
1546	D₄	—	4	2	no	—
1547	D₄	—	4	2	no	—
1548	D₄	—	8	1	no	—
1549	D₄	—	8	1	no	—
1550	D₄	—	8	1	no	—
1551	D₄	—	8	1	no	—
1552	D₄	—	8	1	no	—
1553	D₄	—	8	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	4	1	no	—
1574	C₂×C₄	—	4	1	no	—
1575	C₂×C₄	—	4	1	no	—
1576	C₂×C₄	—	4	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	4	2	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	8	1	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	8	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1590	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1591	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1592	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1593	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1594	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1595	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1596	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1597	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1598	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1599	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
1600	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₇	#60996	1	1	yes	characteristic, direct product factor, Sylow
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	2	1	no	—
1615	C₂²	—	2	1	no	—
1616	C₂²	—	2	1	no	—
1617	C₂²	—	2	1	no	—
1618	C₂²	—	2	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	16	2	no	—
1629	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	2	1	no	—
1638	C₄	—	2	1	no	—
1639	C₄	—	2	1	no	—
1640	C₄	—	2	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	C₇×#585	1	1	yes	characteristic
1655	C₄	C₇×#585	1	1	yes	characteristic
1656	C₂	—	4	1	no	—
1657	C₂	—	4	1	no	—
1658	C₂	—	4	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	8	1	no	—
1662	C₂	C₇×#3449	1	1	yes	characteristic
1663	C₂	C₇×#3584	1	1	yes	characteristic
1664	C₂	C₇×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
prime radical	C₇×#3198	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₇ ◁ C₄×C₇×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₇×#3510	C₂	semidirect
2. C₇×#3461	C₂	semidirect
3. C₇×#3256	C₂	semidirect
4. C₇×#3252	C₂	semidirect
5. C₇×#3250	C₂	semidirect
6. C₇×#3248	C₂	semidirect
7. C₇×#3244	C₂	semidirect
8. C₇×#3243	C₂	semidirect
9. C₇×#3240	C₂	semidirect
10. C₇×#3231	C₂	semidirect
11. C₇×#3225	C₂	semidirect
12. C₇×#3225	C₂	semidirect
13. C₇×#3215	C₂	semidirect
14. C₇×#3211	C₂	semidirect
15. C₇×#3202	C₂	semidirect
16. C₇×#3201	C₂	semidirect
17. C₇×#3200	C₂	semidirect
19. C₇×#3178	C₂	semidirect
20. C₇×#3178	C₂	semidirect
21. C₇×#3175	C₂	semidirect
22. C₇×#3173	C₂	semidirect
23. C₇×#3127	C₂	semidirect
24. C₇×#3123	C₂	semidirect
25. C₇×#3121	C₂	semidirect
26. C₇×#3118	C₂	semidirect
27. C₇×#3117	C₂	semidirect
28. C₇×#3111	C₂	semidirect
29. C₇×#3108	C₂	semidirect
30. C₇×#3102	C₂	semidirect
31. C₇×#2925	C₂	semidirect
40. C₇×#544	C₂²	semidirect
47. C₇×#542	C₂²	semidirect
50. C₇×#541	C₂²	semidirect
56. C₇×#536	C₂²	semidirect
61. C₇×#533	C₂²	semidirect
70. C₇×#529	C₂²	semidirect
75. C₄×C₇×#41	C₂²	semidirect
76. C₂×C₄×C₇×Q₈	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#501	C₂²	semidirect
79. C₇×#500	C₂²	semidirect
80. C₇×#498	C₂²	semidirect
87. C₇×#489	C₂²	semidirect
88. C₇×#489	C₂²	semidirect
91. C₇×#487	C₂²	semidirect
92. C₇×#487	C₂²	semidirect
99. C₇×#485	C₂²	semidirect
100. C₇×#485	C₂²	semidirect
101. C₇×#484	C₂²	semidirect
102. C₇×#483	C₂²	semidirect
109. C₇×#479	C₂²	semidirect
110. C₇×#479	C₂²	semidirect
111. C₇×#479	C₂²	semidirect
112. C₇×#479	C₂²	semidirect
113. C₇×#479	C₂²	semidirect
114. C₇×#479	C₂²	semidirect
115. C₇×#479	C₂²	semidirect
116. C₇×#479	C₂²	semidirect
119. C₇×#478	C₂²	semidirect
120. C₇×#478	C₂²	semidirect
121. C₇×#477	C₂²	semidirect
123. C₇×#475	C₂²	semidirect
125. C₇×#470	C₂²	semidirect
126. C₇×#470	C₂²	semidirect
127. C₇×#470	C₂²	semidirect
132. C₇×#468	C₂²	semidirect
133. C₇×#467	C₂²	semidirect
134. C₇×#467	C₂²	semidirect
135. C₇×#467	C₂²	semidirect
140. C₇×#465	C₂²	semidirect
147. C₇×#464	C₂²	semidirect
148. C₇×#464	C₂²	semidirect
153. C₇×#462	C₂²	semidirect
154. C₇×#462	C₂²	semidirect
157. C₇×#452	C₂²	semidirect
158. C₇×#452	C₂²	semidirect
162. C₇×#451	C₂²	semidirect
163. C₇×#451	C₂²	semidirect
174. C₇×#441	C₂²	semidirect
175. C₇×#441	C₂²	semidirect
176. C₇×#441	C₂²	semidirect
180. C₇×#440	C₂²	semidirect
181. C₄×C₇×Q₁₆	C₂²	semidirect
182. C₄×C₇×Q₁₆	C₂²	semidirect
183. C₄×C₇×Q₁₆	C₂²	semidirect
187. C₄×C₇×SD₁₆	C₂²	semidirect
191. C₇×#433	C₂²	semidirect
192. C₇×#433	C₂²	semidirect
194. C₇×#432	C₂²	semidirect
196. C₇×#431	C₂²	semidirect
197. C₇×#423	C₂²	semidirect
198. C₂×C₇×C₄⋊C₈	C₂²	semidirect
201. C₇×#405	C₂²	semidirect
202. C₇×#405	C₂²	semidirect
203. #60996	C₇	direct (N × H)
479. #3510	C₂×C₇	semidirect
480. #3461	C₂×C₇	semidirect
481. #3256	C₂×C₇	semidirect
482. #3252	C₂×C₇	semidirect
483. #3250	C₂×C₇	semidirect
484. #3248	C₂×C₇	semidirect
485. #3244	C₂×C₇	semidirect
486. #3243	C₂×C₇	semidirect
487. #3240	C₂×C₇	semidirect
488. #3231	C₂×C₇	semidirect
489. #3225	C₂×C₇	semidirect
490. #3225	C₂×C₇	semidirect
491. #3215	C₂×C₇	semidirect
492. #3211	C₂×C₇	semidirect
493. #3202	C₂×C₇	semidirect
494. #3201	C₂×C₇	semidirect
495. #3200	C₂×C₇	semidirect
497. #3178	C₂×C₇	semidirect
498. #3178	C₂×C₇	semidirect
499. #3175	C₂×C₇	semidirect
500. #3173	C₂×C₇	semidirect
501. #3127	C₂×C₇	semidirect
502. #3123	C₂×C₇	semidirect
503. #3121	C₂×C₇	semidirect
504. #3118	C₂×C₇	semidirect
505. #3117	C₂×C₇	semidirect
506. #3111	C₂×C₇	semidirect
507. #3108	C₂×C₇	semidirect
508. #3102	C₂×C₇	semidirect
509. #2925	C₂×C₇	semidirect
719. #544	C₂²×C₇	semidirect
726. #542	C₂²×C₇	semidirect
729. #541	C₂²×C₇	semidirect
735. #536	C₂²×C₇	semidirect
740. #533	C₂²×C₇	semidirect
749. #529	C₂²×C₇	semidirect
754. C₄×#41	C₂²×C₇	semidirect
755. C₂×C₄×Q₈	C₂²×C₇	semidirect
756. #501	C₂²×C₇	semidirect
757. #501	C₂²×C₇	semidirect
758. #500	C₂²×C₇	semidirect
759. #498	C₂²×C₇	semidirect
766. #489	C₂²×C₇	semidirect
767. #489	C₂²×C₇	semidirect
770. #487	C₂²×C₇	semidirect
771. #487	C₂²×C₇	semidirect
778. #485	C₂²×C₇	semidirect
779. #485	C₂²×C₇	semidirect
780. #484	C₂²×C₇	semidirect
781. #483	C₂²×C₇	semidirect
788. #479	C₂²×C₇	semidirect
789. #479	C₂²×C₇	semidirect
790. #479	C₂²×C₇	semidirect
791. #479	C₂²×C₇	semidirect
792. #479	C₂²×C₇	semidirect
793. #479	C₂²×C₇	semidirect
794. #479	C₂²×C₇	semidirect
795. #479	C₂²×C₇	semidirect
798. #478	C₂²×C₇	semidirect
799. #478	C₂²×C₇	semidirect
800. #477	C₂²×C₇	semidirect
802. #475	C₂²×C₇	semidirect
804. #470	C₂²×C₇	semidirect
805. #470	C₂²×C₇	semidirect
806. #470	C₂²×C₇	semidirect
811. #468	C₂²×C₇	semidirect
812. #467	C₂²×C₇	semidirect
813. #467	C₂²×C₇	semidirect
814. #467	C₂²×C₇	semidirect
819. #465	C₂²×C₇	semidirect
826. #464	C₂²×C₇	semidirect
827. #464	C₂²×C₇	semidirect
832. #462	C₂²×C₇	semidirect
833. #462	C₂²×C₇	semidirect
836. #452	C₂²×C₇	semidirect
837. #452	C₂²×C₇	semidirect
841. #451	C₂²×C₇	semidirect
842. #451	C₂²×C₇	semidirect
853. #441	C₂²×C₇	semidirect
854. #441	C₂²×C₇	semidirect
855. #441	C₂²×C₇	semidirect
859. #440	C₂²×C₇	semidirect
860. C₄×Q₁₆	C₂²×C₇	semidirect
861. C₄×Q₁₆	C₂²×C₇	semidirect
862. C₄×Q₁₆	C₂²×C₇	semidirect
866. C₄×SD₁₆	C₂²×C₇	semidirect
870. #433	C₂²×C₇	semidirect
871. #433	C₂²×C₇	semidirect
873. #432	C₂²×C₇	semidirect
875. #431	C₂²×C₇	semidirect
876. #423	C₂²×C₇	semidirect
877. C₂×C₄⋊C₈	C₂²×C₇	semidirect
880. #405	C₂²×C₇	semidirect
881. #405	C₂²×C₇	semidirect
1609. C₇	#60996	direct (N × H)

Maximal subgroups

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

subgroup	index
C₇×#3510	2
C₇×#3461	2
C₇×#3256	2
C₇×#3252	2
C₇×#3250	2
C₇×#3248	2
C₇×#3244	2
C₇×#3243	2
C₇×#3240	2
C₇×#3231	2
C₇×#3225	2
C₇×#3215	2
C₇×#3211	2
C₇×#3202	2
C₇×#3201	2
C₇×#3200	2
C₇×#3198	2
C₇×#3178	2
C₇×#3175	2
C₇×#3173	2
C₇×#3127	2
C₇×#3123	2
C₇×#3121	2
C₇×#3118	2
C₇×#3117	2
C₇×#3111	2
C₇×#3108	2
C₇×#3102	2
C₇×#2925	2
#60996	7

Subgroups — C7×#60996 #13238212

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₇×#60996 #13238212