Subgroups — #27095115

Order 12032.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256946	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255988	C₂	1	2	yes	maximal, complemented
3	#20255942	C₂	1	2	yes	maximal, complemented
4	#20255927	C₂	1	2	yes	maximal, complemented
5	#20255882	C₂	1	2	yes	maximal, complemented
6	#20255873	C₂	1	2	yes	maximal, complemented
7	#20255852	C₂	1	2	yes	maximal, complemented
8	#20255784	C₂	1	2	yes	maximal, complemented
9	#20255761	C₂	1	2	yes	maximal, complemented
10	#20253937	C₂	1	1	yes	maximal, characteristic, complemented
11	#20253324	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253324	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253319	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253311	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253206	C₂	1	1	yes	maximal, characteristic, complemented
16	#20253185	C₂	1	1	yes	maximal, characteristic, complemented
17	#20253003	C₂	1	1	yes	maximal, characteristic, complemented
18	#20253003	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13094050	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#10625329	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251977	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689163	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#553	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094050	C₂²	1	1	yes	characteristic
25	C₂²×#10625329	C₂²	1	1	yes	characteristic
26	C₂²×#10625329	C₂²	1	1	yes	characteristic
27	#15689843	C₂²	1	1	yes	characteristic, complemented
28	#15689838	C₂²	1	1	yes	characteristic, complemented
29	#15689830	C₂²	1	1	yes	characteristic, complemented
30	#15689819	C₂²	1	1	yes	characteristic, complemented
31	#15689819	C₂²	1	1	yes	characteristic, complemented
32	#15689813	C₂²	1	1	yes	characteristic, complemented
33	#15689813	C₂²	1	1	yes	characteristic, complemented
34	#15689808	—	2	1	no	—
35	#15689799	—	2	1	no	—
36	#15689799	—	2	1	no	—
37	#15689777	C₂²	1	1	yes	characteristic, complemented
38	#15689767	—	2	1	no	—
39	#15689680	C₂²	1	1	yes	characteristic
40	#15689655	—	2	1	no	—
41	#15689653	—	2	1	no	—
42	#15689653	—	2	1	no	—
43	#15689634	C₂²	1	1	yes	characteristic
44	#15689634	C₂²	1	1	yes	characteristic
45	C₄×#10625350	C₂²	1	1	yes	characteristic
46	C₄×#10625352	—	2	1	no	—
47	C₂×#13093983	C₂²	1	1	yes	characteristic
48	C₂×#13093983	C₂²	1	1	yes	characteristic
49	#15689533	C₂²	1	2	yes	complemented
50	#15689533	C₂²	1	2	yes	complemented
51	#15689522	C₂²	1	2	yes	complemented
52	#15689522	C₂²	1	2	yes	complemented
53	#15689464	C₂²	1	2	yes	complemented
54	#15689464	C₂²	1	2	yes	complemented
55	#15689458	C₂²	1	2	yes	complemented
56	#15689453	C₂²	1	2	yes	complemented
57	#15689447	C₂²	1	2	yes	complemented
58	#15689447	C₂²	1	2	yes	complemented
59	#15689444	C₂²	1	2	yes	complemented
60	#15689444	C₂²	1	2	yes	complemented
61	#15689444	C₂²	1	2	yes	complemented
62	#15689444	C₂²	1	2	yes	complemented
63	#15689441	C₂²	1	2	yes	complemented
64	#15689439	C₂²	1	2	yes	complemented
65	#15689439	C₂²	1	2	yes	complemented
66	#15689436	C₂²	1	2	yes	complemented
67	#15689434	C₂²	1	2	yes	complemented
68	#15689434	C₂²	1	2	yes	complemented
69	#15689427	C₂²	1	2	yes	complemented
70	#15689427	C₂²	1	2	yes	complemented
71	#15689423	C₂²	1	2	yes	complemented
72	#15689423	C₂²	1	2	yes	complemented
73	#15689420	C₂²	1	2	yes	complemented
74	#15689420	C₂²	1	2	yes	complemented
75	#15689413	C₂²	1	2	yes	complemented
76	#15689403	C₂²	1	2	yes	complemented
77	#15689374	C₂²	1	2	yes	complemented
78	#15689374	C₂²	1	2	yes	complemented
79	#15689367	C₂²	1	2	yes	complemented
80	#15689367	C₂²	1	2	yes	complemented
81	#15689357	C₂²	1	2	yes	complemented
82	#15689357	C₂²	1	2	yes	complemented
83	#15689350	C₂²	1	2	yes	complemented
84	#15689350	C₂²	1	2	yes	complemented
85	#15689233	C₂²	1	2	yes	complemented
86	#15689223	C₂²	1	2	yes	complemented
87	C₄×#10625335	C₂²	1	2	yes	complemented
88	C₄×#10625334	C₂²	1	2	yes	complemented
89	#15689201	C₂²	1	2	yes	complemented
90	#15689195	C₂²	1	2	yes	complemented
91	#15689195	C₂²	1	2	yes	complemented
92	D₄×C₄₇⋊C₈	C₂²	1	2	yes	complemented
93	#15689166	C₂²	1	2	yes	complemented
94	#15689166	C₂²	1	2	yes	complemented
95	#15689163	C₂²	1	1	yes	characteristic
96	#15689163	C₂²	1	1	yes	characteristic
97	#15689163	C₂²	1	1	yes	characteristic
98	#15689163	C₂²	1	1	yes	characteristic
99	#15689163	C₂²	1	1	yes	characteristic
100	#15689163	C₂²	1	1	yes	characteristic
101	#15689163	C₂²	1	1	yes	characteristic
102	#15689163	C₂²	1	1	yes	characteristic
103	#15689163	C₂²	1	1	yes	characteristic
104	#15689163	C₂²	1	2	yes	complemented
105	#15689163	C₂²	1	2	yes	complemented
106	#15689159	C₂²	1	2	yes	complemented
107	#15689159	C₂²	1	2	yes	complemented
108	C₂×#13093957	C₂²	1	2	yes	complemented
109	C₂×#13093955	C₂²	1	2	yes	complemented
110	#15689147	C₂²	1	1	yes	characteristic
111	#15689128	C₂²	1	1	yes	characteristic
112	#15689128	C₂²	1	1	yes	characteristic
113	#15689128	C₂²	1	1	yes	characteristic
114	#15689122	C₂²	1	1	yes	characteristic
115	#15689122	C₂²	1	1	yes	characteristic
116	#15689122	C₂²	1	1	yes	characteristic
117	#15689087	C₂²	1	1	yes	characteristic
118	#15689087	C₂²	1	1	yes	characteristic
119	C₄×#10625329	C₂²	1	1	yes	characteristic
120	C₄₇×#553	—	2	1	no	—
121	C₄₇×#553	—	2	1	no	—
122	C₄₇×#553	—	2	1	no	—
123	C₄₇×#553	—	2	1	no	—
124	C₄₇×#553	C₂²	1	2	yes	—
125	C₄₇×#553	C₂²	1	2	yes	—
126	C₄₇×#553	C₂²	1	2	yes	—
127	C₄₇×#553	C₂²	1	2	yes	—
128	C₂×#126×C₄₇	—	2	1	no	—
129	C₂×#125×C₄₇	C₂²	1	1	yes	characteristic
130	C₂×#123×C₄₇	—	2	1	no	—
131	C₂×#121×C₄₇	—	2	1	no	—
132	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
133	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic
134	C₂×C₄×D₄×C₄₇	—	2	1	no	—
135	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
137	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic
138	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
139	C₂×#10625350	C₂³	1	1	yes	characteristic
140	C₂×#10625352	—	2	1	no	—
141	#13094050	—	2	4	no	—
142	C₂×#10625335	C₂³	1	2	yes	—
143	C₂×#10625334	C₂³	1	2	yes	—
144	C₂×#10625329	—	2	4	no	—
145	C₂×#10625329	—	2	4	no	—
146	C₂×#10625329	C₂³	1	1	yes	characteristic
147	C₂×#10625329	C₂³	1	1	yes	characteristic
148	C₂×#10625329	C₂³	1	1	yes	characteristic
149	C₂×#10625329	C₂³	1	2	yes	—
150	C₂×#10625329	C₂³	1	2	yes	—
151	C₂×#10625329	C₂³	1	1	yes	characteristic
152	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
153	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	—
154	#13094024	C₂³	1	1	yes	characteristic
155	#13094024	C₂³	1	1	yes	characteristic
156	#13094019	—	2	1	no	—
157	#13094019	—	2	1	no	—
158	#13094017	—	2	1	no	—
159	#13094017	—	2	1	no	—
160	#13094017	—	2	1	no	—
161	#13094017	—	2	1	no	—
162	#13094016	C₂³	1	1	yes	characteristic
163	#13094016	C₂³	1	1	yes	characteristic
164	#13094015	—	2	1	no	—
165	#13094014	—	2	1	no	—
166	#13094014	—	2	1	no	—
167	#13094011	—	2	1	no	—
168	#13094010	—	2	1	no	—
169	#13094010	—	2	1	no	—
170	#13094008	—	2	1	no	—
171	#13094008	—	2	1	no	—
172	#13094007	—	2	1	no	—
173	#13094007	—	2	1	no	—
174	#13094006	—	2	1	no	—
175	#13094006	—	2	1	no	—
176	#13094005	—	2	1	no	—
177	#13094005	—	2	1	no	—
178	#13094004	—	2	1	no	—
179	#13094003	—	2	1	no	—
180	#13094003	—	2	1	no	—
181	#13094003	C₂³	1	1	yes	characteristic
182	#13094003	C₂³	1	1	yes	characteristic
183	#13094003	C₂³	1	1	yes	characteristic
184	#13094003	C₂³	1	1	yes	characteristic
185	#13094001	—	2	1	no	—
186	#13094001	—	2	1	no	—
187	#13093998	C₂³	1	1	yes	characteristic
188	#13093998	C₂³	1	1	yes	characteristic
189	#13093998	C₂³	1	1	yes	characteristic
190	#13093998	C₂³	1	1	yes	characteristic
191	#13093996	—	2	1	no	—
192	#13093996	—	2	1	no	—
193	#13093995	—	2	1	no	—
194	#13093993	—	2	1	no	—
195	#13093993	—	2	1	no	—
196	C₄×Dic₉₄	—	2	1	no	—
197	C₄×Dic₉₄	—	2	1	no	—
198	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
199	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
200	#13093989	—	2	1	no	—
201	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
202	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
203	D₄×Dic₄₇	—	2	1	no	—
204	C₄×C₂²⋊D₄₇	—	2	1	no	—
205	C₄×C₂²⋊D₄₇	—	2	1	no	—
206	C₄×C₂²⋊D₄₇	—	2	1	no	—
207	C₄×C₂²⋊D₄₇	—	2	1	no	—
208	C₄×C₂²⋊D₄₇	—	2	1	no	—
209	C₄×C₂²⋊D₄₇	—	2	1	no	—
210	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
211	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
212	#13093983	—	2	1	no	—
213	#13093983	—	2	1	no	—
214	#13093983	—	2	1	no	—
215	#13093983	—	2	1	no	—
216	#13093983	C₂³	1	1	yes	characteristic
217	#13093983	C₂³	1	1	yes	characteristic
218	#13093983	C₂³	1	1	yes	characteristic
219	#13093983	C₂³	1	1	yes	characteristic
220	#13093983	C₂³	1	1	yes	characteristic
221	#13093983	C₂³	1	1	yes	characteristic
222	#13093983	C₂³	1	1	yes	characteristic
223	#13093982	—	2	1	no	—
224	#13093981	—	2	1	no	—
225	#13093980	—	2	1	no	—
226	#13093980	—	2	1	no	—
227	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
232	C₂×C₂²⋊Dic₄₇	—	2	1	no	—
233	C₂×C₄×Dic₄₇	—	2	1	no	—
234	C₂×C₄×Dic₄₇	—	2	1	no	—
235	C₄²×D₄₇	—	2	1	no	—
236	#13093957	C₂³	1	2	yes	—
237	#13093957	C₂³	1	2	yes	—
238	#13093957	C₂³	1	2	yes	—
239	#13093957	C₂³	1	2	yes	—
240	#13093957	C₂³	1	2	yes	—
241	#13093957	C₂³	1	2	yes	—
242	#13093957	C₂³	1	2	yes	—
243	#13093957	C₂³	1	2	yes	—
244	#13093957	C₂³	1	2	yes	—
245	#13093955	C₂³	1	2	yes	—
246	#13093955	C₂³	1	2	yes	—
247	#13093955	C₂³	1	2	yes	—
248	#13093955	C₂³	1	2	yes	—
249	#13093955	C₂³	1	2	yes	—
250	#13093955	C₂³	1	2	yes	—
251	#13093955	C₂³	1	2	yes	—
252	#13093955	C₂³	1	2	yes	—
253	#13093955	C₂³	1	2	yes	—
254	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
255	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
256	#13093947	C₂³	1	2	yes	—
257	#13093947	C₂³	1	2	yes	—
258	#13093947	C₂³	1	2	yes	—
259	#13093945	C₂³	1	2	yes	—
260	#13093945	C₂³	1	2	yes	—
261	#13093945	C₂³	1	2	yes	—
262	#13093945	C₂³	1	2	yes	—
263	#13093945	C₂³	1	2	yes	—
264	#13093945	C₂³	1	2	yes	—
265	#13093944	C₂³	1	2	yes	—
266	#13093944	C₂³	1	2	yes	—
267	#13093944	C₂³	1	2	yes	—
268	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
269	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
271	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
272	#13093935	C₂³	1	2	yes	—
273	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
274	C₂²×D₄×C₄₇	—	2	1	no	—
275	C₂²×D₄×C₄₇	—	2	1	no	—
276	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
277	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
278	C₂³×C₄×C₄₇	—	2	1	no	—
279	C₂³×C₄×C₄₇	—	2	1	no	—
280	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
281	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
282	#126×C₄₇	—	2	2	no	—
283	#126×C₄₇	—	2	2	no	—
284	#126×C₄₇	—	2	2	no	—
285	#126×C₄₇	—	2	2	no	—
286	#125×C₄₇	—	2	1	no	—
287	#125×C₄₇	—	2	1	no	—
288	#125×C₄₇	C₂³	1	2	yes	—
289	#125×C₄₇	C₂³	1	2	yes	—
290	#123×C₄₇	—	2	2	no	—
291	#123×C₄₇	—	2	2	no	—
292	#123×C₄₇	—	2	2	no	—
293	#123×C₄₇	—	2	2	no	—
294	#121×C₄₇	—	2	2	no	—
295	#121×C₄₇	—	2	2	no	—
296	#121×C₄₇	—	2	2	no	—
297	#121×C₄₇	—	2	2	no	—
298	#121×C₄₇	—	2	1	no	—
299	#121×C₄₇	—	2	1	no	—
300	#121×C₄₇	—	2	1	no	—
301	#121×C₄₇	—	2	1	no	—
302	#121×C₄₇	C₂³	1	2	yes	—
303	#121×C₄₇	C₂³	1	2	yes	—
304	#121×C₄₇	C₂³	1	2	yes	—
305	#121×C₄₇	C₂³	1	2	yes	—
306	C₄×D₄×C₄₇	—	2	2	no	—
307	C₄×D₄×C₄₇	—	2	2	no	—
308	C₄×D₄×C₄₇	—	2	2	no	—
309	C₄×D₄×C₄₇	—	2	2	no	—
310	C₄×D₄×C₄₇	—	2	1	no	—
311	C₄×D₄×C₄₇	—	2	1	no	—
312	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
313	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
314	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
315	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
316	C₄×D₄×C₄₇	C₂³	1	2	yes	—
317	C₄×D₄×C₄₇	C₂³	1	2	yes	—
318	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
319	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
320	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
321	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
322	#117×C₄₇	—	2	1	no	—
323	#117×C₄₇	—	2	1	no	—
324	#117×C₄₇	C₂³	1	2	yes	—
325	#117×C₄₇	C₂³	1	2	yes	—
326	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
327	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
328	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
329	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
330	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
331	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
336	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
338	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
339	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
340	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
341	C₂×C₂²⋊C₄×C₄₇	D₄	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₇	D₄	1	1	yes	characteristic
343	C₂×C₄²×C₄₇	—	2	1	no	—
344	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
345	C₂⁴×C₄₇	—	2	1	no	—
346	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
347	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₄₇	—	2	2	no	—
349	C₂×D₄×C₄₇	—	2	2	no	—
350	C₂×D₄×C₄₇	—	2	2	no	—
351	C₂×D₄×C₄₇	—	2	2	no	—
352	C₂×D₄×C₄₇	—	2	1	no	—
353	C₂×D₄×C₄₇	—	2	2	no	—
354	C₂×D₄×C₄₇	—	2	2	no	—
355	C₂×D₄×C₄₇	—	4	2	no	—
356	C₂×D₄×C₄₇	—	4	4	no	—
357	C₂×D₄×C₄₇	—	8	2	no	—
358	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
359	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
360	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
361	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
362	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₄₇	—	2	2	no	—
364	C₂²×C₄×C₄₇	—	2	2	no	—
365	C₂²×C₄×C₄₇	—	2	2	no	—
366	C₂²×C₄×C₄₇	—	2	2	no	—
367	C₂²×C₄×C₄₇	—	2	1	no	—
368	C₂²×C₄×C₄₇	—	2	1	no	—
369	C₂²×C₄×C₄₇	—	2	1	no	—
370	C₂²×C₄×C₄₇	—	2	2	no	—
371	C₂²×C₄×C₄₇	—	2	2	no	—
372	C₂²×C₄×C₄₇	—	2	2	no	—
373	C₂²×C₄×C₄₇	—	2	2	no	—
374	C₂²×C₄×C₄₇	—	8	2	no	—
375	C₂²×C₄×C₄₇	—	8	2	no	—
376	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
377	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
378	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
379	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
380	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
381	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
384	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
389	C₂×C₂²⋊D₄₇	—	2	1	no	—
390	C₂×C₂²⋊D₄₇	—	2	1	no	—
391	C₂×C₂²⋊D₄₇	—	2	1	no	—
392	C₂×C₂²⋊D₄₇	—	2	1	no	—
393	C₂×C₂²⋊D₄₇	—	2	1	no	—
394	C₂²×Dic₄₇	—	2	1	no	—
395	C₂²×Dic₄₇	—	2	1	no	—
396	C₂²×Dic₄₇	—	2	1	no	—
397	C₂²×Dic₄₇	—	2	1	no	—
398	#10625352	—	4	4	no	—
399	#10625350	—	2	2	no	—
400	#10625350	—	2	2	no	—
401	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×D₄₇	—	2	1	no	—
403	C₂×C₄×D₄₇	—	2	1	no	—
404	C₂×C₄×D₄₇	—	2	1	no	—
405	C₂×Dic₉₄	—	2	1	no	—
406	C₂×Dic₉₄	—	2	1	no	—
407	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₄₇	—	2	1	no	—
409	C₄⋊C₄×C₄₇	—	2	1	no	—
410	C₄⋊C₄×C₄₇	—	2	2	no	—
411	C₄⋊C₄×C₄₇	—	2	2	no	—
412	C₄⋊C₄×C₄₇	—	2	2	no	—
413	C₄⋊C₄×C₄₇	—	2	2	no	—
414	C₄⋊C₄×C₄₇	—	2	2	no	—
415	C₄⋊C₄×C₄₇	—	2	2	no	—
416	C₄⋊C₄×C₄₇	—	2	1	no	—
417	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
418	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
419	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
420	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
421	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
422	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
423	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
424	C₂²⋊C₄×C₄₇	—	2	2	no	—
425	C₂²⋊C₄×C₄₇	—	2	2	no	—
426	C₂²⋊C₄×C₄₇	—	2	2	no	—
427	C₂²⋊C₄×C₄₇	—	2	2	no	—
428	C₂²⋊C₄×C₄₇	—	2	2	no	—
429	C₂²⋊C₄×C₄₇	—	2	2	no	—
430	C₂²⋊C₄×C₄₇	—	2	2	no	—
431	C₂²⋊C₄×C₄₇	—	2	2	no	—
432	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
433	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
434	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
435	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
436	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
437	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
438	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
439	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
440	C₄²×C₄₇	—	2	2	no	—
441	C₄²×C₄₇	—	2	2	no	—
442	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
445	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
446	C₂²⋊Dic₄₇	—	2	1	no	—
447	C₂²⋊Dic₄₇	—	2	1	no	—
448	C₂²⋊Dic₄₇	—	2	1	no	—
449	C₂²⋊Dic₄₇	—	2	1	no	—
450	C₂²⋊Dic₄₇	—	2	1	no	—
451	C₂²⋊Dic₄₇	—	2	1	no	—
452	C₂²⋊Dic₄₇	—	2	1	no	—
453	C₂²⋊Dic₄₇	—	2	1	no	—
454	C₂²⋊Dic₄₇	—	2	1	no	—
455	C₂²⋊Dic₄₇	—	2	1	no	—
456	C₂²⋊Dic₄₇	—	2	1	no	—
457	#10625335	—	2	4	no	—
458	#10625334	—	2	4	no	—
459	(C₂×D₄₇)⋊C₄	—	2	1	no	—
460	(C₂×D₄₇)⋊C₄	—	2	1	no	—
461	(C₂×D₄₇)⋊C₄	—	2	1	no	—
462	(C₂×D₄₇)⋊C₄	—	2	1	no	—
463	(C₂×D₄₇)⋊C₄	—	2	1	no	—
464	(C₂×D₄₇)⋊C₄	—	2	1	no	—
465	C₄⋊Dic₄₇	—	2	1	no	—
466	C₄⋊Dic₄₇	—	2	1	no	—
467	C₄⋊Dic₄₇	—	2	1	no	—
468	C₄⋊Dic₄₇	—	2	1	no	—
469	C₄⋊Dic₄₇	—	2	1	no	—
470	C₄⋊Dic₄₇	—	2	1	no	—
471	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
472	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
473	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
474	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
475	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
476	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
477	Dic₄₇⋊C₄	—	2	1	no	—
478	Dic₄₇⋊C₄	—	2	1	no	—
479	Dic₄₇⋊C₄	—	2	1	no	—
480	Dic₄₇⋊C₄	—	2	1	no	—
481	Dic₄₇⋊C₄	—	2	1	no	—
482	Dic₄₇⋊C₄	—	2	1	no	—
483	Dic₄₇⋊C₄	—	2	1	no	—
484	Dic₄₇⋊C₄	—	2	1	no	—
485	Dic₄₇⋊C₄	—	2	1	no	—
486	Dic₄₇⋊C₄	—	2	1	no	—
487	C₄×Dic₄₇	—	2	1	no	—
488	C₄×Dic₄₇	—	2	1	no	—
489	C₄×Dic₄₇	—	2	1	no	—
490	C₄×Dic₄₇	—	2	1	no	—
491	C₄×Dic₄₇	—	2	1	no	—
492	C₄×Dic₄₇	—	2	1	no	—
493	C₄×Dic₄₇	—	2	1	no	—
494	C₄×Dic₄₇	—	2	1	no	—
495	C₄×Dic₄₇	—	2	1	no	—
496	#10625329	—	2	2	no	—
497	#10625329	—	2	2	no	—
498	#10625329	—	2	2	no	—
499	#10625329	—	2	4	no	—
500	#10625329	—	2	4	no	—
501	#10625329	#41	1	4	yes	complemented
502	C₂×C₄₇⋊C₈	—	2	4	no	—
503	C₂×C₄₇⋊C₈	—	2	4	no	—
504	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
505	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
506	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
507	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
508	C₂³×C₄₇	—	2	2	no	—
509	C₂³×C₄₇	—	2	2	no	—
510	C₂³×C₄₇	—	2	2	no	—
511	C₂³×C₄₇	—	2	2	no	—
512	C₂³×C₄₇	—	4	1	no	—
513	C₂³×C₄₇	—	4	1	no	—
514	C₂³×C₄₇	—	4	1	no	—
515	C₂³×C₄₇	—	4	2	no	—
516	C₂³×C₄₇	—	4	2	no	—
517	C₂³×C₄₇	—	4	2	no	—
518	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
519	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
520	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
521	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
522	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
523	C₂²×D₄₇	—	2	1	no	—
524	D₄×C₄₇	—	2	2	no	—
525	D₄×C₄₇	—	2	2	no	—
526	D₄×C₄₇	—	2	2	no	—
527	D₄×C₄₇	—	2	2	no	—
528	D₄×C₄₇	—	4	1	no	—
529	D₄×C₄₇	—	4	1	no	—
530	D₄×C₄₇	—	4	4	no	—
531	D₄×C₄₇	—	4	4	no	—
532	D₄×C₄₇	—	4	2	no	—
533	D₄×C₄₇	—	8	2	no	—
534	D₄×C₄₇	—	8	2	no	—
535	C₂×C₄×C₄₇	—	2	2	no	—
536	C₂×C₄×C₄₇	—	2	2	no	—
537	C₂×C₄×C₄₇	—	2	2	no	—
538	C₂×C₄×C₄₇	—	2	2	no	—
539	C₂×C₄×C₄₇	—	2	2	no	—
540	C₂×C₄×C₄₇	—	2	2	no	—
541	C₂×C₄×C₄₇	—	2	1	no	—
542	C₂×C₄×C₄₇	—	2	1	no	—
543	C₂×C₄×C₄₇	—	2	1	no	—
544	C₂×C₄×C₄₇	—	2	1	no	—
545	C₂×C₄×C₄₇	—	2	1	no	—
546	C₂×C₄×C₄₇	—	2	1	no	—
547	C₂×C₄×C₄₇	—	2	1	no	—
548	C₂×C₄×C₄₇	—	2	1	no	—
549	C₂×C₄×C₄₇	—	2	2	no	—
550	C₂×C₄×C₄₇	—	2	2	no	—
551	C₂×C₄×C₄₇	—	2	2	no	—
552	C₂×C₄×C₄₇	—	4	1	no	—
553	C₂×C₄×C₄₇	—	4	1	no	—
554	C₂×C₄×C₄₇	—	4	2	no	—
555	C₂×C₄×C₄₇	—	4	2	no	—
556	C₂×C₄×C₄₇	—	4	2	no	—
557	C₂×C₄×C₄₇	—	8	2	no	—
558	C₂×C₄×C₄₇	—	8	2	no	—
559	C₂×C₄×C₄₇	—	8	2	no	—
560	C₂×C₄×C₄₇	—	8	2	no	—
561	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
564	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
566	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
567	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
568	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
569	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
570	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
571	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
572	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
573	C₂²⋊D₄₇	—	4	2	no	—
574	C₂²⋊D₄₇	—	4	2	no	—
575	C₂²⋊D₄₇	—	4	2	no	—
576	C₂²⋊D₄₇	—	8	1	no	—
577	C₂²⋊D₄₇	—	8	1	no	—
578	C₂×Dic₄₇	—	2	1	no	—
579	C₂×Dic₄₇	—	2	1	no	—
580	C₂×Dic₄₇	—	2	1	no	—
581	C₂×Dic₄₇	—	2	1	no	—
582	C₂×Dic₄₇	—	2	1	no	—
583	C₂×Dic₄₇	—	2	1	no	—
584	C₂×Dic₄₇	—	2	1	no	—
585	C₂×Dic₄₇	—	4	2	no	—
586	C₂×Dic₄₇	—	4	2	no	—
587	C₂×Dic₄₇	—	8	1	no	—
588	C₂×Dic₄₇	—	8	1	no	—
589	D₁₈₈	—	2	1	no	—
590	D₁₈₈	—	2	1	no	—
591	C₄×D₄₇	—	4	2	no	—
592	C₄×D₄₇	—	4	2	no	—
593	C₄×D₄₇	—	8	1	no	—
594	Dic₉₄	—	2	1	no	—
595	Dic₉₄	—	2	1	no	—
596	Dic₉₄	—	4	2	no	—
597	Dic₉₄	—	8	1	no	—
598	C₄₇⋊C₈	—	2	2	no	—
599	C₄₇⋊C₈	—	2	2	no	—
600	C₄₇⋊C₈	—	2	2	no	—
601	C₄₇⋊C₈	C₂×#41	1	4	yes	—
602	#61255	—	47	1	no	maximal, Sylow
603	C₂²×C₄₇	—	2	1	no	—
604	C₂²×C₄₇	—	2	1	no	—
605	C₂²×C₄₇	—	2	1	no	—
606	C₂²×C₄₇	—	2	1	no	—
607	C₂²×C₄₇	—	2	1	no	—
608	C₂²×C₄₇	—	2	1	no	—
609	C₂²×C₄₇	—	2	1	no	—
610	C₂²×C₄₇	—	2	1	no	—
611	C₂²×C₄₇	—	2	1	no	—
612	C₂²×C₄₇	—	2	1	no	—
613	C₂²×C₄₇	—	2	1	no	—
614	C₂²×C₄₇	—	2	1	no	—
615	C₂²×C₄₇	—	2	1	no	—
616	C₂²×C₄₇	—	4	4	no	—
617	C₂²×C₄₇	—	4	2	no	—
618	C₂²×C₄₇	—	4	2	no	—
619	C₂²×C₄₇	—	4	2	no	—
620	C₂²×C₄₇	—	8	2	no	—
621	C₂²×C₄₇	—	8	4	no	—
622	C₂²×C₄₇	#547	1	2	yes	—
623	C₂²×C₄₇	#575	1	2	yes	—
624	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
625	C₂×D₄₇	—	4	1	no	—
626	C₂×D₄₇	—	4	1	no	—
627	C₂×D₄₇	—	4	1	no	—
628	C₄×C₄₇	—	2	1	no	—
629	C₄×C₄₇	—	2	1	no	—
630	C₄×C₄₇	—	2	1	no	—
631	C₄×C₄₇	—	2	1	no	—
632	C₄×C₄₇	—	2	1	no	—
633	C₄×C₄₇	—	2	1	no	—
634	C₄×C₄₇	—	2	1	no	—
635	C₄×C₄₇	—	2	1	no	—
636	C₄×C₄₇	—	4	2	no	—
637	C₄×C₄₇	—	4	2	no	—
638	C₄×C₄₇	—	4	2	no	—
639	C₄×C₄₇	#547	1	2	yes	—
640	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
641	C₄×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
642	Dic₄₇	—	4	1	no	—
643	Dic₄₇	—	4	1	no	—
644	Dic₄₇	—	4	1	no	—
645	Dic₄₇	—	4	1	no	—
646	Dic₄₇	—	4	1	no	—
647	Dic₄₇	—	4	1	no	—
648	Dic₄₇	—	4	1	no	—
649	#3475	—	47	1	no	—
650	C₂×#553	D₄₇	1	1	yes	characteristic, complemented
651	#3355	—	47	2	no	—
652	#3351	—	47	2	no	—
653	#3350	—	47	2	no	—
654	#3347	—	47	2	no	—
655	#3346	—	47	2	no	—
656	#3345	—	47	2	no	—
657	#3339	—	47	2	no	—
658	#3337	—	47	2	no	—
659	#3166	—	47	1	no	—
660	#3094	—	47	1	no	—
661	#3094	—	47	1	no	—
662	#3093	—	47	1	no	—
663	#3092	—	47	1	no	—
664	#3080	—	47	1	no	—
665	#3077	—	47	1	no	—
666	#3055	—	47	1	no	—
667	#3055	—	47	1	no	—
668	C₄×AGL(1,ℤ/8)	—	47	1	no	—
669	D₄×M₁₆	—	47	1	no	—
670	#2911	—	47	1	no	—
671	C₂×#428	—	47	1	no	—
672	C₂×C₄₇	—	2	2	no	—
673	C₂×C₄₇	—	2	2	no	—
674	C₂×C₄₇	—	4	1	no	—
675	C₂×C₄₇	—	4	1	no	—
676	C₂×C₄₇	—	4	1	no	—
677	C₂×C₄₇	—	8	2	no	—
678	C₂×C₄₇	C₂×#547	1	1	yes	characteristic
679	C₂×C₄₇	C₂×#575	1	1	yes	characteristic
680	C₂×C₄₇	#3585	1	1	yes	characteristic
681	D₄₇	—	8	1	no	—
682	C₂×AGL(1,ℤ/8)	—	47	1	no	—
683	C₂²×M₁₆	—	47	1	no	—
684	C₂²×M₁₆	—	47	1	no	—
685	#556	—	47	1	no	—
686	#555	—	47	1	no	—
687	#554	—	47	1	no	—
688	#553	—	2	1	no	—
689	#553	—	2	1	no	—
690	#553	—	2	1	no	—
691	#553	—	2	1	no	—
692	#553	—	47	1	no	—
693	#553	—	47	1	no	—
694	#553	C₂×D₄₇	1	2	yes	—
695	#553	C₂×D₄₇	1	2	yes	—
696	#553	C₂×D₄₇	1	2	yes	—
697	#553	C₂×D₄₇	1	2	yes	—
698	#552	—	47	1	no	—
699	#552	—	47	1	no	—
700	#552	—	94	1	no	—
701	#551	—	94	1	no	—
702	#551	—	94	1	no	—
703	#547	—	47	1	no	—
704	#546	—	94	1	no	—
705	#533	—	47	1	no	—
706	#529	—	94	1	no	—
707	#529	—	94	1	no	—
708	#529	—	94	1	no	—
709	C₂×#126	—	2	1	no	—
710	C₂×#125	C₂×D₄₇	1	1	yes	characteristic
711	#525	—	47	1	no	—
712	#525	—	47	1	no	—
713	C₂×#123	—	2	1	no	—
714	C₂×#121	—	2	1	no	—
715	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
716	C₂×#121	C₂×D₄₇	1	1	yes	characteristic
717	C₄×#41	—	47	1	no	—
718	C₄×#41	—	94	1	no	—
719	C₂×C₄×D₄	—	2	1	no	—
720	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
721	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
722	C₂×#117	—	47	1	no	—
723	C₂×#117	—	47	1	no	—
724	C₂×#117	C₂×D₄₇	1	1	yes	characteristic
725	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
726	#501	—	47	2	no	—
727	#501	—	47	2	no	—
728	#499	—	47	2	no	—
729	#499	—	47	2	no	—
730	#485	—	47	2	no	—
731	#485	—	47	2	no	—
732	#484	—	47	2	no	—
733	#483	—	47	2	no	—
734	#482	—	47	2	no	—
735	#482	—	47	2	no	—
736	#482	—	47	2	no	—
737	#482	—	47	2	no	—
738	#482	—	47	2	no	—
739	#482	—	47	2	no	—
740	#481	—	47	2	no	—
741	#481	—	47	2	no	—
742	#481	—	47	2	no	—
743	#480	—	47	2	no	—
744	#480	—	47	2	no	—
745	#480	—	47	2	no	—
746	#479	—	47	2	no	—
747	#479	—	47	2	no	—
748	#478	—	47	2	no	—
749	#478	—	47	2	no	—
750	#478	—	47	2	no	—
751	#478	—	47	2	no	—
752	#476	—	47	2	no	—
753	#474	—	47	2	no	—
754	#469	—	47	2	no	—
755	#469	—	47	2	no	—
756	#468	—	47	2	no	—
757	#468	—	47	2	no	—
758	#466	—	47	2	no	—
759	#466	—	47	2	no	—
760	#465	—	47	2	no	—
761	#465	—	47	2	no	—
762	#442	—	47	2	no	—
763	#440	—	47	2	no	—
764	C₄×SD₁₆	—	47	2	no	—
765	C₄×D₈	—	47	2	no	—
766	#436	—	47	2	no	—
767	#435	—	47	2	no	—
768	#435	—	47	2	no	—
769	C₈×D₄	—	47	2	no	—
770	#428	—	47	2	no	—
771	#428	—	47	2	no	—
772	#428	—	47	1	no	—
773	#428	—	47	1	no	—
774	#428	—	47	1	no	—
775	#428	—	47	1	no	—
776	#428	—	47	2	no	—
777	#428	—	47	1	no	—
778	#428	—	47	1	no	—
779	#428	—	47	2	no	—
780	#428	—	47	1	no	—
781	#428	—	47	1	no	—
782	#428	—	47	1	no	—
783	#427	—	47	2	no	—
784	#427	—	47	2	no	—
785	C₂×#107	—	47	2	no	—
786	C₂×#106	—	47	2	no	—
787	#423	—	47	1	no	—
788	#418	—	47	1	no	—
789	#418	—	47	1	no	—
790	#418	—	47	1	no	—
791	#417	—	47	1	no	—
792	#417	—	47	1	no	—
793	#417	—	47	1	no	—
794	#407	—	47	1	no	—
795	#407	—	47	1	no	—
796	C₄×M₁₆	—	47	1	no	—
797	C₄₇	#61255	1	1	yes	characteristic, complemented, Sylow
798	C₂×#41	—	47	1	no	—
799	C₂×#41	—	94	1	no	—
800	C₂²×D₄	—	2	1	no	—
801	C₂²×D₄	—	2	1	no	—
802	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
803	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
804	C₂³×C₄	—	2	1	no	—
805	C₂³×C₄	—	2	1	no	—
806	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
807	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
808	AGL(1,ℤ/8)	—	94	4	no	—
809	C₂×SD₁₆	—	47	2	no	—
810	C₂×D₈	—	47	2	no	—
811	C₂×M₁₆	—	47	1	no	—
812	C₂×M₁₆	—	47	1	no	—
813	C₂×M₁₆	—	47	1	no	—
814	C₂×M₁₆	—	47	2	no	—
815	C₂×M₁₆	—	47	2	no	—
816	C₂×M₁₆	—	47	1	no	—
817	C₂×M₁₆	—	94	4	no	—
818	C₂×M₁₆	—	94	4	no	—
819	C₂²×C₈	—	47	2	no	—
820	C₂²×C₈	—	47	2	no	—
821	C₄⋊Q₈	—	47	1	no	—
822	C₄⋊Q₈	—	47	1	no	—
823	#126	—	2	2	no	—
824	#126	—	2	2	no	—
825	#126	—	2	2	no	—
826	#126	—	2	2	no	—
827	#126	—	94	1	no	—
828	#126	—	94	1	no	—
829	#126	—	94	1	no	—
830	#126	—	94	1	no	—
831	#126	—	94	1	no	—
832	#126	—	94	1	no	—
833	#125	—	2	1	no	—
834	#125	—	2	1	no	—
835	#125	—	47	1	no	—
836	#125	—	47	1	no	—
837	#125	—	94	1	no	—
838	#125	—	94	1	no	—
839	#125	—	94	1	no	—
840	#125	C₂²×D₄₇	1	2	yes	—
841	#125	C₂²×D₄₇	1	2	yes	—
842	#124	—	94	1	no	—
843	#124	—	94	1	no	—
844	#124	—	94	1	no	—
845	#123	—	2	2	no	—
846	#123	—	2	2	no	—
847	#123	—	2	2	no	—
848	#123	—	2	2	no	—
849	#123	—	94	1	no	—
850	#123	—	94	1	no	—
851	#123	—	94	1	no	—
852	#123	—	94	1	no	—
853	#123	—	94	1	no	—
854	#123	—	94	1	no	—
855	#123	—	94	1	no	—
856	#123	—	94	1	no	—
857	C₂²⋊Q₈	—	47	1	no	—
858	C₂²⋊Q₈	—	47	1	no	—
859	C₂²⋊Q₈	—	47	1	no	—
860	C₂²⋊Q₈	—	47	1	no	—
861	C₂²⋊Q₈	—	94	1	no	—
862	C₂²⋊Q₈	—	94	1	no	—
863	C₂²⋊Q₈	—	94	1	no	—
864	C₂²⋊Q₈	—	94	1	no	—
865	C₂²⋊Q₈	—	94	1	no	—
866	#121	—	2	2	no	—
867	#121	—	2	2	no	—
868	#121	—	2	2	no	—
869	#121	—	2	2	no	—
870	#121	—	2	1	no	—
871	#121	—	2	1	no	—
872	#121	—	2	1	no	—
873	#121	—	2	1	no	—
874	#121	—	47	1	no	—
875	#121	—	47	1	no	—
876	#121	—	47	1	no	—
877	#121	—	47	1	no	—
878	#121	—	94	1	no	—
879	#121	—	94	1	no	—
880	#121	—	94	1	no	—
881	#121	C₂²×D₄₇	1	2	yes	—
882	#121	C₂²×D₄₇	1	2	yes	—
883	#121	C₂²×D₄₇	1	2	yes	—
884	#121	C₂²×D₄₇	1	2	yes	—
885	#120	—	94	1	no	—
886	#120	—	94	1	no	—
887	C₄×Q₈	—	47	1	no	—
888	C₄×Q₈	—	47	1	no	—
889	C₄×Q₈	—	94	1	no	—
890	C₄×Q₈	—	94	1	no	—
891	C₄×Q₈	—	94	1	no	—
892	C₄×D₄	—	2	2	no	—
893	C₄×D₄	—	2	2	no	—
894	C₄×D₄	—	2	2	no	—
895	C₄×D₄	—	2	2	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	47	1	no	—
899	C₄×D₄	—	47	1	no	—
900	C₄×D₄	—	94	1	no	—
901	C₄×D₄	—	94	1	no	—
902	C₄×D₄	—	94	1	no	—
903	C₄×D₄	—	94	1	no	—
904	C₄×D₄	—	94	1	no	—
905	C₄×D₄	—	94	1	no	—
906	C₄×D₄	—	94	1	no	—
907	C₄×D₄	—	94	1	no	—
908	C₄×D₄	—	94	1	no	—
909	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
910	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
911	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
912	C₄×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
913	C₄×D₄	C₂²×D₄₇	1	2	yes	—
914	C₄×D₄	C₂²×D₄₇	1	2	yes	—
915	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
916	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
917	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
918	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
919	#117	—	2	1	no	—
920	#117	—	2	1	no	—
921	#117	—	47	1	no	—
922	#117	—	47	1	no	—
923	#117	—	47	1	no	—
924	#117	—	47	1	no	—
925	#117	—	47	1	no	—
926	#117	—	47	1	no	—
927	#117	—	47	1	no	—
928	#117	—	94	1	no	—
929	#117	—	94	1	no	—
930	#117	—	94	1	no	—
931	#117	—	94	1	no	—
932	#117	—	94	1	no	—
933	#117	—	94	1	no	—
934	#117	—	94	1	no	—
935	#117	—	94	1	no	—
936	#117	C₂²×D₄₇	1	2	yes	—
937	#117	C₂²×D₄₇	1	2	yes	—
938	C₂×C₄⋊C₄	—	2	1	no	—
939	C₂×C₄⋊C₄	—	2	1	no	—
940	C₂×C₄⋊C₄	—	2	1	no	—
941	C₂×C₄⋊C₄	—	2	1	no	—
942	C₂×C₄⋊C₄	—	2	1	no	—
943	C₂×C₄⋊C₄	—	47	1	no	—
944	C₂×C₄⋊C₄	—	47	1	no	—
945	C₂×C₄⋊C₄	—	47	1	no	—
946	C₂×C₄⋊C₄	—	47	1	no	—
947	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
951	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
952	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	—	2	1	no	—
954	C₂×C₂²⋊C₄	—	2	1	no	—
955	C₂×C₂²⋊C₄	—	2	1	no	—
956	C₂×C₂²⋊C₄	—	2	1	no	—
957	C₂×C₂²⋊C₄	—	94	1	no	—
958	C₂×C₂²⋊C₄	—	94	1	no	—
959	C₂×C₂²⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
961	C₂×C₄²	—	2	1	no	—
962	C₂×C₄²	—	94	1	no	—
963	C₂×C₄²	—	94	1	no	—
964	C₂×C₄²	—	94	1	no	—
965	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
966	#107	—	47	2	no	—
967	#107	—	47	2	no	—
968	#107	—	47	2	no	—
969	#107	—	47	2	no	—
970	#107	—	47	2	no	—
971	#107	—	47	2	no	—
972	#107	—	47	2	no	—
973	#107	—	47	2	no	—
974	#107	—	47	2	no	—
975	#106	—	47	2	no	—
976	#106	—	47	2	no	—
977	#106	—	47	2	no	—
978	#106	—	47	2	no	—
979	#106	—	47	2	no	—
980	#106	—	47	2	no	—
981	#106	—	47	2	no	—
982	#106	—	47	2	no	—
983	#106	—	47	2	no	—
984	C₄⋊C₈	—	47	2	no	—
985	C₄⋊C₈	—	47	2	no	—
986	#103	—	47	2	no	—
987	#103	—	47	2	no	—
988	#103	—	47	2	no	—
989	#102	—	47	2	no	—
990	#102	—	47	2	no	—
991	#102	—	47	2	no	—
992	#102	—	47	2	no	—
993	#102	—	47	2	no	—
994	#102	—	47	2	no	—
995	#102	—	47	2	no	—
996	#102	—	47	2	no	—
997	#102	—	47	2	no	—
998	C₂²⋊C₈	—	47	2	no	—
999	C₂²⋊C₈	—	47	2	no	—
1000	C₂²⋊C₈	—	47	2	no	—
1001	C₂²⋊C₈	—	47	2	no	—
1002	#97	—	47	2	no	—
1003	C₄×C₈	—	47	2	no	—
1004	C₂⁴	—	2	1	no	—
1005	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1006	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1007	#41	—	94	2	no	—
1008	#41	—	94	2	no	—
1009	#41	—	188	4	no	—
1010	C₂×Q₈	—	47	1	no	—
1011	C₂×Q₈	—	94	1	no	—
1012	C₂×Q₈	—	94	1	no	—
1013	C₂×D₄	—	2	2	no	—
1014	C₂×D₄	—	2	2	no	—
1015	C₂×D₄	—	2	2	no	—
1016	C₂×D₄	—	2	2	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	2	no	—
1019	C₂×D₄	—	2	2	no	—
1020	C₂×D₄	—	4	2	no	—
1021	C₂×D₄	—	4	4	no	—
1022	C₂×D₄	—	8	2	no	—
1023	C₂×D₄	—	47	1	no	—
1024	C₂×D₄	—	94	1	no	—
1025	C₂×D₄	—	94	1	no	—
1026	C₂×D₄	—	94	1	no	—
1027	C₂×D₄	—	94	1	no	—
1028	C₂×D₄	—	94	1	no	—
1029	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1030	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1031	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1032	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1033	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	8	2	no	—
1046	C₂²×C₄	—	8	2	no	—
1047	C₂²×C₄	—	94	1	no	—
1048	C₂²×C₄	—	94	1	no	—
1049	C₂²×C₄	—	94	1	no	—
1050	C₂²×C₄	—	94	1	no	—
1051	C₂²×C₄	—	94	1	no	—
1052	C₂²×C₄	—	94	1	no	—
1053	C₂²×C₄	—	94	1	no	—
1054	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1055	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1056	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1057	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1058	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1067	SD₁₆	—	94	4	no	—
1068	D₈	—	94	4	no	—
1069	M₁₆	—	47	4	no	—
1070	M₁₆	—	94	4	no	—
1071	M₁₆	—	94	4	no	—
1072	M₁₆	—	94	2	no	—
1073	M₁₆	—	94	2	no	—
1074	M₁₆	—	94	2	no	—
1075	C₂×C₈	—	47	2	no	—
1076	C₂×C₈	—	47	2	no	—
1077	C₂×C₈	—	47	2	no	—
1078	C₂×C₈	—	47	2	no	—
1079	C₂×C₈	—	94	4	no	—
1080	C₂×C₈	—	94	4	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	2	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	47	1	no	—
1091	C₄⋊C₄	—	47	1	no	—
1092	C₄⋊C₄	—	47	1	no	—
1093	C₄⋊C₄	—	47	1	no	—
1094	C₄⋊C₄	—	47	1	no	—
1095	C₄⋊C₄	—	47	1	no	—
1096	C₄⋊C₄	—	94	1	no	—
1097	C₄⋊C₄	—	94	1	no	—
1098	C₄⋊C₄	—	94	1	no	—
1099	C₄⋊C₄	—	94	1	no	—
1100	C₄⋊C₄	—	94	1	no	—
1101	C₄⋊C₄	—	94	1	no	—
1102	C₄⋊C₄	—	94	1	no	—
1103	C₄⋊C₄	—	94	1	no	—
1104	C₄⋊C₄	—	94	1	no	—
1105	C₄⋊C₄	—	94	1	no	—
1106	C₄⋊C₄	—	94	1	no	—
1107	C₄⋊C₄	—	94	1	no	—
1108	C₄⋊C₄	—	94	1	no	—
1109	C₄⋊C₄	—	94	1	no	—
1110	C₄⋊C₄	—	94	1	no	—
1111	C₄⋊C₄	—	94	1	no	—
1112	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1113	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1114	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1115	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1116	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1117	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1118	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	2	no	—
1122	C₂²⋊C₄	—	2	2	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	2	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	94	1	no	—
1128	C₂²⋊C₄	—	94	1	no	—
1129	C₂²⋊C₄	—	94	1	no	—
1130	C₂²⋊C₄	—	94	1	no	—
1131	C₂²⋊C₄	—	94	1	no	—
1132	C₂²⋊C₄	—	94	1	no	—
1133	C₂²⋊C₄	—	94	1	no	—
1134	C₂²⋊C₄	—	94	1	no	—
1135	C₂²⋊C₄	—	94	1	no	—
1136	C₂²⋊C₄	—	94	1	no	—
1137	C₂²⋊C₄	—	94	1	no	—
1138	C₂²⋊C₄	—	94	1	no	—
1139	C₂²⋊C₄	—	94	1	no	—
1140	C₂²⋊C₄	—	94	1	no	—
1141	C₂²⋊C₄	—	94	1	no	—
1142	C₂²⋊C₄	—	94	1	no	—
1143	C₂²⋊C₄	—	94	1	no	—
1144	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1145	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1146	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1147	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1148	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1149	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1150	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1151	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1152	C₄²	—	2	2	no	—
1153	C₄²	—	2	2	no	—
1154	C₄²	—	94	1	no	—
1155	C₄²	—	94	1	no	—
1156	C₄²	—	94	1	no	—
1157	C₄²	—	94	1	no	—
1158	C₄²	—	94	1	no	—
1159	C₄²	—	94	1	no	—
1160	C₄²	—	94	1	no	—
1161	C₄²	—	94	1	no	—
1162	C₄²	—	94	1	no	—
1163	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1164	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1165	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1166	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1167	C₂³	—	2	2	no	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	4	1	no	—
1172	C₂³	—	4	1	no	—
1173	C₂³	—	4	1	no	—
1174	C₂³	—	4	2	no	—
1175	C₂³	—	4	2	no	—
1176	C₂³	—	4	2	no	—
1177	C₂³	—	94	1	no	—
1178	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1179	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1180	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1181	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1182	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1183	Q₈	—	94	1	no	—
1184	Q₈	—	94	1	no	—
1185	Q₈	—	376	1	no	—
1186	Q₈	—	188	2	no	—
1187	D₄	—	2	2	no	—
1188	D₄	—	2	2	no	—
1189	D₄	—	2	2	no	—
1190	D₄	—	2	2	no	—
1191	D₄	—	4	1	no	—
1192	D₄	—	4	1	no	—
1193	D₄	—	4	4	no	—
1194	D₄	—	4	4	no	—
1195	D₄	—	4	2	no	—
1196	D₄	—	8	2	no	—
1197	D₄	—	8	2	no	—
1198	D₄	—	94	1	no	—
1199	D₄	—	94	1	no	—
1200	D₄	—	376	1	no	—
1201	D₄	—	376	1	no	—
1202	D₄	—	188	2	no	—
1203	D₄	—	188	2	no	—
1204	D₄	—	188	2	no	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	4	1	no	—
1223	C₂×C₄	—	4	1	no	—
1224	C₂×C₄	—	4	2	no	—
1225	C₂×C₄	—	4	2	no	—
1226	C₂×C₄	—	4	2	no	—
1227	C₂×C₄	—	8	2	no	—
1228	C₂×C₄	—	8	2	no	—
1229	C₂×C₄	—	8	2	no	—
1230	C₂×C₄	—	8	2	no	—
1231	C₂×C₄	—	94	1	no	—
1232	C₂×C₄	—	94	1	no	—
1233	C₂×C₄	—	94	1	no	—
1234	C₂×C₄	—	94	1	no	—
1235	C₂×C₄	—	94	1	no	—
1236	C₂×C₄	—	94	1	no	—
1237	C₂×C₄	—	94	1	no	—
1238	C₂×C₄	—	376	1	no	—
1239	C₂×C₄	—	376	1	no	—
1240	C₂×C₄	—	376	1	no	—
1241	C₂×C₄	—	188	2	no	—
1242	C₂×C₄	—	188	2	no	—
1243	C₂×C₄	—	188	2	no	—
1244	C₂×C₄	—	188	2	no	—
1245	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1246	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1247	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1248	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1249	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1250	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1251	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1252	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1253	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1254	C₂×C₄	#41×D₄₇	1	2	yes	—
1255	C₂×C₄	#13094071	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1257	C₈	—	47	4	no	—
1258	C₈	—	94	2	no	—
1259	C₈	—	94	2	no	—
1260	C₈	—	94	2	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	2	1	no	—
1269	C₂²	—	2	1	no	—
1270	C₂²	—	2	1	no	—
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	1	no	—
1274	C₂²	—	4	4	no	—
1275	C₂²	—	4	2	no	—
1276	C₂²	—	4	2	no	—
1277	C₂²	—	4	2	no	—
1278	C₂²	—	8	2	no	—
1279	C₂²	—	8	4	no	—
1280	C₂²	—	188	1	no	—
1281	C₂²	—	188	1	no	—
1282	C₂²	—	188	1	no	—
1283	C₂²	#15689772	1	2	yes	—
1284	C₂²	#15689921	1	2	yes	—
1285	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	2	1	no	—
1291	C₄	—	2	1	no	—
1292	C₄	—	2	1	no	—
1293	C₄	—	2	1	no	—
1294	C₄	—	4	2	no	—
1295	C₄	—	4	2	no	—
1296	C₄	—	4	2	no	—
1297	C₄	—	188	1	no	—
1298	C₄	—	188	1	no	—
1299	C₄	—	188	1	no	—
1300	C₄	—	188	1	no	—
1301	C₄	—	188	1	no	—
1302	C₄	—	188	1	no	—
1303	C₄	—	188	1	no	—
1304	C₄	#15689772	1	2	yes	—
1305	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1306	C₄	C₂×#13094071	1	1	yes	characteristic
1307	C₂	—	2	2	no	—
1308	C₂	—	2	2	no	—
1309	C₂	—	4	1	no	—
1310	C₂	—	4	1	no	—
1311	C₂	—	4	1	no	—
1312	C₂	—	8	2	no	—
1313	C₂	—	376	1	no	—
1314	C₂	C₂×#15689772	1	1	yes	characteristic
1315	C₂	C₂×#15689921	1	1	yes	characteristic
1316	C₂	#20258168	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄₇×#553	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	C₂×#553	D₄₇
hypocenter	C₄₇	#61255
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #20256946	C₂	semidirect
2. #20255988	C₂	semidirect
3. #20255942	C₂	semidirect
4. #20255927	C₂	semidirect
5. #20255882	C₂	semidirect
6. #20255873	C₂	semidirect
7. #20255852	C₂	semidirect
8. #20255784	C₂	semidirect
9. #20255761	C₂	semidirect
10. #20253937	C₂	semidirect
11. #20253324	C₂	semidirect
12. #20253324	C₂	semidirect
13. #20253319	C₂	semidirect
14. #20253311	C₂	semidirect
15. #20253206	C₂	semidirect
16. #20253185	C₂	semidirect
17. #20253003	C₂	semidirect
18. #20253003	C₂	semidirect
19. C₄×#13094050	C₂	semidirect
20. D₄×#10625329	C₂	semidirect
21. #20251977	C₂	semidirect
22. C₂×#15689163	C₂	semidirect
23. C₂×C₄₇×#553	C₂	semidirect
27. #15689843	C₂²	semidirect
28. #15689838	C₂²	semidirect
29. #15689830	C₂²	semidirect
30. #15689819	C₂²	semidirect
31. #15689819	C₂²	semidirect
32. #15689813	C₂²	semidirect
33. #15689813	C₂²	semidirect
37. #15689777	C₂²	semidirect
49. #15689533	C₂²	semidirect
50. #15689533	C₂²	semidirect
51. #15689522	C₂²	semidirect
52. #15689522	C₂²	semidirect
53. #15689464	C₂²	semidirect
54. #15689464	C₂²	semidirect
55. #15689458	C₂²	semidirect
56. #15689453	C₂²	semidirect
57. #15689447	C₂²	semidirect
58. #15689447	C₂²	semidirect
59. #15689444	C₂²	semidirect
60. #15689444	C₂²	semidirect
61. #15689444	C₂²	semidirect
62. #15689444	C₂²	semidirect
63. #15689441	C₂²	semidirect
64. #15689439	C₂²	semidirect
65. #15689439	C₂²	semidirect
66. #15689436	C₂²	semidirect
67. #15689434	C₂²	semidirect
68. #15689434	C₂²	semidirect
69. #15689427	C₂²	semidirect
70. #15689427	C₂²	semidirect
71. #15689423	C₂²	semidirect
72. #15689423	C₂²	semidirect
73. #15689420	C₂²	semidirect
74. #15689420	C₂²	semidirect
75. #15689413	C₂²	semidirect
76. #15689403	C₂²	semidirect
77. #15689374	C₂²	semidirect
78. #15689374	C₂²	semidirect
79. #15689367	C₂²	semidirect
80. #15689367	C₂²	semidirect
81. #15689357	C₂²	semidirect
82. #15689357	C₂²	semidirect
83. #15689350	C₂²	semidirect
84. #15689350	C₂²	semidirect
85. #15689233	C₂²	semidirect
86. #15689223	C₂²	semidirect
87. C₄×#10625335	C₂²	semidirect
88. C₄×#10625334	C₂²	semidirect
89. #15689201	C₂²	semidirect
90. #15689195	C₂²	semidirect
91. #15689195	C₂²	semidirect
92. D₄×C₄₇⋊C₈	C₂²	semidirect
93. #15689166	C₂²	semidirect
94. #15689166	C₂²	semidirect
104. #15689163	C₂²	semidirect
105. #15689163	C₂²	semidirect
106. #15689159	C₂²	semidirect
107. #15689159	C₂²	semidirect
108. C₂×#13093957	C₂²	semidirect
109. C₂×#13093955	C₂²	semidirect
501. #10625329	#41	semidirect
650. C₂×#553	D₄₇	semidirect
797. C₄₇	#61255	semidirect

Maximal subgroups

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

subgroup	index
#20256946	2
#20255988	2
#20255942	2
#20255927	2
#20255882	2
#20255873	2
#20255852	2
#20255784	2
#20255761	2
#20253937	2
#20253324	2
#20253319	2
#20253311	2
#20253206	2
#20253185	2
#20253003	2
C₄×#13094050	2
D₄×#10625329	2
#20251977	2
C₂×#15689163	2
C₂×C₄₇×#553	2
#61255	47