Subgroups — #27093577

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1298 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257123	C₂	1	1	yes	maximal, characteristic, complemented
2	#20257057	C₂	1	1	yes	maximal, characteristic, complemented
3	#20255540	C₂	1	2	yes	maximal, complemented
4	#20255525	C₂	1	2	yes	maximal, complemented
5	#20255390	C₂	1	2	yes	maximal, complemented
6	#20255375	C₂	1	2	yes	maximal, complemented
7	#20255334	C₂	1	2	yes	maximal, complemented
8	#20255286	C₂	1	2	yes	maximal, complemented
9	#20255239	C₂	1	2	yes	maximal, complemented
10	#20255197	C₂	1	2	yes	maximal, complemented
11	#20253746	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253364	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253328	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253237	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253071	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15689359	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252894	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252659	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252640	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252223	C₂	1	1	yes	maximal, characteristic, complemented
21	#20252082	C₂	1	1	yes	maximal, characteristic, complemented
22	#20251910	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#416	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094070	C₂²	1	1	yes	characteristic
25	C₂×#13094049	C₂²	1	1	yes	characteristic
26	C₂×#13094049	C₂²	1	1	yes	characteristic, complemented
27	C₂²×D₃₇₆	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
29	#15689836	C₂²	1	2	yes	complemented
30	#15689821	C₂²	1	2	yes	complemented
31	#15689817	C₂²	1	2	yes	complemented
32	#15689797	—	2	2	no	—
33	#15689792	C₂²	1	2	yes	complemented
34	#15689784	C₂²	1	2	yes	complemented
35	#15689774	C₂²	1	2	yes	complemented
36	#15689763	—	2	2	no	—
37	#15689761	—	2	2	no	—
38	#15689761	C₂²	1	2	yes	complemented
39	D₄×C₂²⋊D₄₇	—	2	2	no	—
40	D₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
41	#15689751	C₂²	1	1	yes	characteristic, complemented
42	#15689744	—	2	1	no	—
43	#15689728	—	2	1	no	—
44	#15689701	—	2	1	no	—
45	#15689701	C₂²	1	1	yes	characteristic
46	#15689692	C₂²	1	1	yes	characteristic, complemented
47	#15689687	—	2	1	no	—
48	#15689687	C₂²	1	1	yes	characteristic
49	#15689673	—	2	1	no	—
50	#15689657	—	2	1	no	—
51	#15689634	—	2	1	no	—
52	#15689634	C₂²	1	1	yes	characteristic
53	C₂×#13093998	—	2	1	no	—
54	C₂×#13093998	C₂²	1	1	yes	characteristic
55	C₂×#13093998	C₂²	1	1	yes	characteristic, complemented
56	#15689606	C₂²	1	1	yes	characteristic
57	#15689603	C₂²	1	1	yes	characteristic, complemented
58	#15689597	C₂²	1	1	yes	characteristic, complemented
59	#15689486	C₂²	1	2	yes	complemented
60	#15689484	C₂²	1	2	yes	complemented
61	#15689479	C₂²	1	2	yes	complemented
62	#15689468	C₂²	1	2	yes	complemented
63	#15689463	C₂²	1	2	yes	complemented
64	#15689457	C₂²	1	2	yes	complemented
65	#15689447	C₂²	1	2	yes	complemented
66	#15689447	C₂²	1	2	yes	complemented
67	#15689445	C₂²	1	2	yes	complemented
68	#15689441	C₂²	1	2	yes	complemented
69	#15689436	C₂²	1	2	yes	complemented
70	#15689435	C₂²	1	2	yes	complemented
71	#15689432	C₂²	1	2	yes	complemented
72	#15689421	C₂²	1	2	yes	complemented
73	#15689416	C₂²	1	2	yes	complemented
74	#15689401	C₂²	1	2	yes	complemented
75	#15689375	C₂²	1	2	yes	complemented
76	#15689372	C₂²	1	2	yes	complemented
77	#15689359	C₂²	1	2	yes	complemented
78	#15689359	C₂²	1	2	yes	complemented
79	#15689359	C₂²	1	2	yes	complemented
80	#15689359	C₂²	1	2	yes	complemented
81	#15689358	C₂²	1	2	yes	complemented
82	#15689355	C₂²	1	2	yes	complemented
83	#15689341	C₂²	1	2	yes	complemented
84	#15689341	C₂²	1	2	yes	complemented
85	#15689317	C₂²	1	2	yes	complemented
86	#15689317	C₂²	1	2	yes	complemented
87	#15689271	C₂²	1	2	yes	complemented
88	#15689271	C₂²	1	2	yes	complemented
89	#15689268	C₂²	1	2	yes	complemented
90	#15689268	C₂²	1	2	yes	complemented
91	#15689262	C₂²	1	2	yes	complemented
92	#15689258	C₂²	1	2	yes	complemented
93	#15689258	C₂²	1	2	yes	complemented
94	#15689257	C₂²	1	2	yes	complemented
95	#15689232	C₂²	1	2	yes	complemented
96	#15689226	C₂²	1	2	yes	complemented
97	#15689208	C₂²	1	2	yes	complemented
98	#15689203	C₂²	1	2	yes	complemented
99	#15689194	C₂²	1	2	yes	complemented
100	#15689194	C₂²	1	2	yes	complemented
101	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
102	C₈×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
103	#15689166	C₂²	1	1	yes	characteristic, complemented
104	#15689166	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13093958	C₂²	1	1	yes	characteristic, complemented
106	#15689149	C₂²	1	1	yes	characteristic, complemented
107	#15689127	C₂²	1	1	yes	characteristic, complemented
108	#15689127	C₂²	1	1	yes	characteristic, complemented
109	#15689126	C₂²	1	2	yes	complemented
110	#15689124	C₂²	1	1	yes	characteristic
111	#15689124	C₂²	1	1	yes	characteristic, complemented
112	#15689123	C₂²	1	2	yes	complemented
113	#15689118	C₂²	1	2	yes	complemented
114	C₂×#13093946	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13093946	C₂²	1	1	yes	characteristic, complemented
116	#102×D₄₇	C₂²	1	2	yes	complemented
117	#15689089	C₂²	1	1	yes	characteristic, complemented
118	#15689087	C₂²	1	1	yes	characteristic, complemented
119	#15689078	C₂²	1	1	yes	characteristic, complemented
120	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
121	C₂³×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
122	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₄₇×#416	C₂²	1	1	yes	characteristic
124	C₄₇×#416	C₂²	1	1	yes	characteristic
125	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
126	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
128	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
129	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
130	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
131	C₂×#103×C₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₂×#103×C₄₇	C₂²	1	1	yes	characteristic, complemented
133	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	#13094070	—	2	4	no	—
136	#13094070	—	4	2	no	—
137	C₂×#10625354	C₂³	1	2	yes	—
138	C₂×#10625350	—	2	2	no	—
139	C₂×#10625350	—	2	1	no	—
140	C₂×#10625350	C₂³	1	1	yes	characteristic
141	C₂²×D₁₈₈	—	2	1	no	—
142	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
143	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
144	C₂²×C₂²⋊D₄₇	—	2	1	no	—
145	C₂²×C₂²⋊D₄₇	—	2	1	no	—
146	C₂²×C₂²⋊D₄₇	—	2	2	no	—
147	C₂×D₄×D₄₇	—	2	2	no	—
148	C₂×D₄×D₄₇	C₂³	1	2	yes	—
149	#13094049	—	2	4	no	—
150	#13094049	—	4	2	no	—
151	C₂×#10625336	C₂³	1	2	yes	—
152	C₂×#10625336	C₂³	1	2	yes	—
153	C₂×D₃₇₆	—	4	2	no	—
154	C₂×D₃₇₆	C₂³	1	2	yes	—
155	C₂×D₃₇₆	C₂³	1	2	yes	—
156	C₂×#10625334	C₂³	1	2	yes	—
157	C₂×#10625334	C₂³	1	2	yes	—
158	#13094030	—	4	2	no	—
159	C₂×#10625329	C₂³	1	1	yes	characteristic
160	C₂×#10625329	C₂³	1	1	yes	characteristic
161	C₂×#10625324	C₂³	1	2	yes	—
162	C₂×C₈×D₄₇	C₂³	1	2	yes	—
163	#13094024	—	2	1	no	—
164	#13094023	C₂³	1	2	yes	—
165	#13094021	—	2	1	no	—
166	#13094020	—	2	2	no	—
167	#13094020	C₂³	1	2	yes	—
168	#13094019	—	2	2	no	—
169	#13094018	—	2	2	no	—
170	#13094016	—	2	1	no	—
171	#13094015	C₂³	1	2	yes	—
172	#13094013	—	2	2	no	—
173	#13094013	C₂³	1	2	yes	—
174	#13094012	—	2	1	no	—
175	#13094012	—	2	2	no	—
176	#13094010	—	2	2	no	—
177	#13094009	—	2	2	no	—
178	#13094009	—	2	2	no	—
179	#13094007	—	2	2	no	—
180	#13094007	—	2	2	no	—
181	#13094007	D₄	1	2	yes	—
182	#13094006	—	2	2	no	—
183	#13094003	—	2	1	no	—
184	#13094003	D₄	1	1	yes	characteristic
185	#13094003	D₄	1	1	yes	characteristic
186	#13094002	—	2	2	no	—
187	#13094001	—	2	2	no	—
188	#13094000	—	2	2	no	—
189	#13094000	C₂³	1	2	yes	—
190	#13093999	C₂³	1	2	yes	—
191	#13093999	C₂³	1	2	yes	—
192	#13093998	—	2	1	no	—
193	#13093998	—	2	1	no	—
194	#13093998	—	2	1	no	—
195	#13093998	—	2	1	no	—
196	#13093998	—	2	2	no	—
197	#13093998	—	2	2	no	—
198	#13093998	—	2	1	no	—
199	#13093998	—	2	2	no	—
200	#13093998	—	2	1	no	—
201	#13093998	—	2	1	no	—
202	#13093998	D₄	1	1	yes	characteristic
203	#13093998	D₄	1	1	yes	characteristic
204	#13093998	C₂³	1	2	yes	—
205	#13093998	C₂³	1	2	yes	—
206	#13093998	C₂³	1	2	yes	—
207	#13093998	C₂³	1	2	yes	—
208	#13093997	—	2	2	no	—
209	#13093997	—	2	2	no	—
210	#13093996	—	2	2	no	—
211	#13093996	—	2	2	no	—
212	#13093996	—	2	2	no	—
213	#13093995	—	2	2	no	—
214	#13093995	C₂³	1	2	yes	—
215	#13093994	—	2	2	no	—
216	#13093993	—	2	2	no	—
217	#13093993	D₄	1	2	yes	—
218	#13093992	—	2	2	no	—
219	#13093992	—	2	2	no	—
220	#13093992	—	2	2	no	—
221	Q₈×Dic₄₇	C₂³	1	2	yes	—
222	C₄×Dic₉₄	—	2	1	no	—
223	C₄×D₁₈₈	—	2	1	no	—
224	C₄×D₁₈₈	—	2	2	no	—
225	C₄×D₁₈₈	—	2	1	no	—
226	C₄×D₁₈₈	—	2	1	no	—
227	D₄×Dic₄₇	—	2	2	no	—
228	D₄×Dic₄₇	C₂³	1	2	yes	—
229	#13093986	C₂³	1	2	yes	—
230	#13093986	C₂³	1	2	yes	—
231	C₄×C₂²⋊D₄₇	—	2	2	no	—
232	C₄×C₂²⋊D₄₇	—	2	2	no	—
233	C₄×C₂²⋊D₄₇	—	2	2	no	—
234	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
235	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
236	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
237	#13093983	—	2	1	no	—
238	#13093983	C₂³	1	1	yes	characteristic
239	#13093982	C₂³	1	2	yes	—
240	#13093981	—	2	2	no	—
241	C₂×C₄⋊Dic₄₇	—	2	1	no	—
242	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
244	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
245	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
246	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
247	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
248	C₂²⋊C₄×D₄₇	—	2	2	no	—
249	#13093958	C₂³	1	2	yes	—
250	#13093958	C₂³	1	2	yes	—
251	#13093957	C₂³	1	2	yes	—
252	#13093957	C₂³	1	2	yes	—
253	#13093955	C₂³	1	2	yes	—
254	#13093955	C₂³	1	2	yes	—
255	Dic₄₇⋊C₈	C₂³	1	2	yes	—
256	Dic₄₇⋊C₈	C₂³	1	2	yes	—
257	#13093948	C₂³	1	2	yes	—
258	#13093948	C₂³	1	2	yes	—
259	#13093946	C₂³	1	2	yes	—
260	#13093946	C₂³	1	2	yes	—
261	#13093946	C₂³	1	2	yes	—
262	#13093946	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	#13093944	C₂³	1	2	yes	—
269	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
271	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
273	#13093934	C₂³	1	2	yes	—
274	C₈×Dic₄₇	C₂³	1	2	yes	—
275	C₂×#41×C₄₇	—	2	1	no	—
276	C₂×#41×C₄₇	—	2	1	no	—
277	C₂×#41×C₄₇	—	2	4	no	—
278	C₂×#41×C₄₇	—	4	2	no	—
279	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
280	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
281	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
282	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
283	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
284	C₂²×D₄×C₄₇	—	2	1	no	—
285	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₄₇	—	2	1	no	—
287	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
288	C₂²×C₈×C₄₇	—	4	2	no	—
289	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
291	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
292	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
293	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
295	#117×C₄₇	—	2	1	no	—
296	#117×C₄₇	—	2	1	no	—
297	#117×C₄₇	C₂³	1	1	yes	characteristic
298	#117×C₄₇	C₂³	1	1	yes	characteristic
299	#117×C₄₇	C₂³	1	1	yes	characteristic
300	#117×C₄₇	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
304	C₂×C₄²×C₄₇	—	2	1	no	—
305	#103×C₄₇	C₂³	1	1	yes	characteristic
306	#103×C₄₇	C₂³	1	1	yes	characteristic
307	#103×C₄₇	C₂³	1	1	yes	characteristic
308	#103×C₄₇	C₂³	1	1	yes	characteristic
309	#103×C₄₇	C₂³	1	1	yes	characteristic
310	#103×C₄₇	C₂³	1	1	yes	characteristic
311	#103×C₄₇	C₂³	1	1	yes	characteristic
312	#103×C₄₇	C₂³	1	1	yes	characteristic
313	#102×C₄₇	C₂³	1	1	yes	characteristic
314	#102×C₄₇	C₂³	1	1	yes	characteristic
315	#102×C₄₇	C₂³	1	1	yes	characteristic
316	#102×C₄₇	C₂³	1	1	yes	characteristic
317	#102×C₄₇	C₂³	1	1	yes	characteristic
318	#102×C₄₇	C₂³	1	1	yes	characteristic
319	#102×C₄₇	C₂³	1	1	yes	characteristic
320	#102×C₄₇	C₂³	1	1	yes	characteristic
321	C₂⁴×C₄₇	—	2	1	no	—
322	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
323	C₂³×D₄₇	—	2	1	no	—
324	C₂³×D₄₇	—	2	1	no	—
325	C₂³×D₄₇	—	2	2	no	—
326	#41×C₄₇	—	2	2	no	—
327	#41×C₄₇	—	2	2	no	—
328	#41×C₄₇	—	2	2	no	—
329	#41×C₄₇	—	2	2	no	—
330	#41×C₄₇	—	2	2	no	—
331	#41×C₄₇	—	4	4	no	—
332	#41×C₄₇	—	4	1	no	—
333	#41×C₄₇	—	4	1	no	—
334	#41×C₄₇	—	4	4	no	—
335	#41×C₄₇	#41	1	4	yes	complemented
336	C₂×Q₈×C₄₇	—	2	1	no	—
337	C₂×Q₈×C₄₇	—	2	2	no	—
338	C₂×Q₈×C₄₇	—	4	1	no	—
339	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
340	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
341	C₂×D₄×C₄₇	—	2	1	no	—
342	C₂×D₄×C₄₇	—	2	2	no	—
343	C₂×D₄×C₄₇	—	2	1	no	—
344	C₂×D₄×C₄₇	—	2	1	no	—
345	C₂×D₄×C₄₇	—	2	1	no	—
346	C₂×D₄×C₄₇	—	2	1	no	—
347	C₂×D₄×C₄₇	—	4	1	no	—
348	C₂×D₄×C₄₇	—	4	4	no	—
349	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
350	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₄₇	—	2	1	no	—
352	C₂²×C₄×C₄₇	—	2	2	no	—
353	C₂²×C₄×C₄₇	—	2	2	no	—
354	C₂²×C₄×C₄₇	—	2	1	no	—
355	C₂²×C₄×C₄₇	—	2	1	no	—
356	C₂²×C₄×C₄₇	—	2	1	no	—
357	C₂²×C₄×C₄₇	—	2	1	no	—
358	C₂²×C₄×C₄₇	—	2	1	no	—
359	C₂²×C₄×C₄₇	—	2	1	no	—
360	C₂²×C₄×C₄₇	—	4	4	no	—
361	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₂×C₂²⋊D₄₇	—	2	2	no	—
368	C₂×C₂²⋊D₄₇	—	2	2	no	—
369	C₂×C₂²⋊D₄₇	—	2	2	no	—
370	C₂×C₂²⋊D₄₇	—	2	2	no	—
371	C₂×C₂²⋊D₄₇	—	2	2	no	—
372	C₂×C₂²⋊D₄₇	—	2	2	no	—
373	C₂×C₂²⋊D₄₇	—	2	2	no	—
374	C₂×C₂²⋊D₄₇	—	2	2	no	—
375	C₂×C₂²⋊D₄₇	—	8	4	no	—
376	C₂×C₂²⋊D₄₇	—	8	2	no	—
377	C₂×C₂²⋊D₄₇	—	8	2	no	—
378	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
379	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
380	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
381	C₂²×Dic₄₇	—	2	1	no	—
382	C₂²×Dic₄₇	—	2	1	no	—
383	C₂²×Dic₄₇	—	2	2	no	—
384	#10625354	—	2	4	no	—
385	#10625354	—	4	2	no	—
386	D₄×D₄₇	—	2	4	no	—
387	D₄×D₄₇	—	4	2	no	—
388	D₄×D₄₇	—	4	8	no	—
389	#10625350	—	2	2	no	—
390	#10625350	—	2	2	no	—
391	#10625350	—	4	4	no	—
392	#10625350	—	8	4	no	—
393	C₂×D₁₈₈	—	2	2	no	—
394	C₂×D₁₈₈	—	2	2	no	—
395	C₂×D₁₈₈	—	2	2	no	—
396	C₂×D₁₈₈	—	2	2	no	—
397	C₂×D₁₈₈	—	2	2	no	—
398	C₂×D₁₈₈	—	2	1	no	—
399	C₂×D₁₈₈	—	2	1	no	—
400	C₂×D₁₈₈	—	2	2	no	—
401	C₂×D₁₈₈	—	2	2	no	—
402	C₂×D₁₈₈	—	4	4	no	—
403	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
404	C₂×D₁₈₈	C₂⁴	1	2	yes	—
405	C₂×D₁₈₈	C₂⁴	1	2	yes	—
406	C₂×C₄×D₄₇	—	2	2	no	—
407	C₂×C₄×D₄₇	—	2	2	no	—
408	C₂×C₄×D₄₇	—	2	2	no	—
409	C₂×C₄×D₄₇	—	2	2	no	—
410	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
411	C₂×Dic₉₄	—	2	2	no	—
412	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
413	C₂×C₈×C₄₇	—	2	2	no	—
414	C₂×C₈×C₄₇	—	2	2	no	—
415	C₂×C₈×C₄₇	—	4	1	no	—
416	C₂×C₈×C₄₇	—	4	1	no	—
417	C₂×C₈×C₄₇	—	4	1	no	—
418	C₂×C₈×C₄₇	—	4	1	no	—
419	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
420	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
421	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
422	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
423	C₄⋊C₄×C₄₇	—	2	1	no	—
424	C₄⋊C₄×C₄₇	—	2	1	no	—
425	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
426	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
427	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
428	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
429	C₂²⋊C₄×C₄₇	—	2	1	no	—
430	C₂²⋊C₄×C₄₇	—	2	1	no	—
431	C₂²⋊C₄×C₄₇	—	2	1	no	—
432	C₂²⋊C₄×C₄₇	—	2	1	no	—
433	C₄²×C₄₇	—	2	1	no	—
434	C₄²×C₄₇	—	2	1	no	—
435	C₄²×C₄₇	—	2	1	no	—
436	C₄²×C₄₇	—	2	1	no	—
437	C₂²⋊Dic₄₇	—	2	2	no	—
438	C₂²⋊Dic₄₇	—	2	2	no	—
439	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
440	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
441	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
442	#10625336	—	2	4	no	—
443	#10625336	—	4	2	no	—
444	#10625334	—	2	4	no	—
445	#10625334	—	4	2	no	—
446	(C₂×D₄₇)⋊C₄	—	2	2	no	—
447	(C₂×D₄₇)⋊C₄	—	2	2	no	—
448	(C₂×D₄₇)⋊C₄	—	2	2	no	—
449	(C₂×D₄₇)⋊C₄	—	2	2	no	—
450	(C₂×D₄₇)⋊C₄	—	2	2	no	—
451	(C₂×D₄₇)⋊C₄	—	2	2	no	—
452	(C₂×D₄₇)⋊C₄	—	2	2	no	—
453	(C₂×D₄₇)⋊C₄	—	2	2	no	—
454	(C₂×D₄₇)⋊C₄	—	2	2	no	—
455	(C₂×D₄₇)⋊C₄	—	2	2	no	—
456	(C₂×D₄₇)⋊C₄	—	2	2	no	—
457	(C₂×D₄₇)⋊C₄	—	2	2	no	—
458	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
459	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
460	C₄⋊Dic₄₇	—	2	1	no	—
461	C₄⋊Dic₄₇	—	2	1	no	—
462	C₄⋊Dic₄₇	—	2	2	no	—
463	C₄⋊Dic₄₇	—	2	2	no	—
464	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
465	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
466	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
467	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
468	Dic₄₇⋊C₄	—	2	2	no	—
469	Dic₄₇⋊C₄	—	2	2	no	—
470	Dic₄₇⋊C₄	—	2	2	no	—
471	Dic₄₇⋊C₄	—	2	2	no	—
472	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
473	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
474	C₄×Dic₄₇	—	2	2	no	—
475	C₄×Dic₄₇	—	2	2	no	—
476	C₄×Dic₄₇	C₂⁴	1	2	yes	—
477	#10625329	—	2	2	no	—
478	#10625329	—	2	2	no	—
479	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
480	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
481	D₃₇₆	—	4	2	no	—
482	D₃₇₆	—	4	2	no	—
483	#10625324	—	4	2	no	—
484	C₈×D₄₇	—	4	2	no	—
485	C₂³×C₄₇	—	2	2	no	—
486	C₂³×C₄₇	—	2	2	no	—
487	C₂³×C₄₇	—	2	1	no	—
488	C₂³×C₄₇	—	2	1	no	—
489	C₂³×C₄₇	—	4	1	no	—
490	C₂³×C₄₇	—	4	2	no	—
491	C₂³×C₄₇	—	4	2	no	—
492	C₂³×C₄₇	—	8	1	no	—
493	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
494	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
495	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
496	C₂²×D₄₇	—	2	2	no	—
497	C₂²×D₄₇	—	2	2	no	—
498	C₂²×D₄₇	—	4	4	no	—
499	C₂²×D₄₇	—	4	2	no	—
500	C₂²×D₄₇	—	4	2	no	—
501	C₂²×D₄₇	—	8	2	no	—
502	C₂²×D₄₇	—	8	2	no	—
503	C₂²×D₄₇	—	8	1	no	—
504	C₂²×D₄₇	—	8	1	no	—
505	C₂²×D₄₇	—	8	1	no	—
506	C₂²×D₄₇	—	8	1	no	—
507	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
508	Q₈×C₄₇	—	2	1	no	—
509	Q₈×C₄₇	—	2	1	no	—
510	Q₈×C₄₇	—	2	1	no	—
511	Q₈×C₄₇	—	4	2	no	—
512	Q₈×C₄₇	C₂×#41	1	2	yes	—
513	D₄×C₄₇	—	2	4	no	—
514	D₄×C₄₇	—	2	1	no	—
515	D₄×C₄₇	—	2	1	no	—
516	D₄×C₄₇	—	2	1	no	—
517	D₄×C₄₇	—	4	2	no	—
518	D₄×C₄₇	—	4	2	no	—
519	D₄×C₄₇	—	4	2	no	—
520	D₄×C₄₇	—	4	2	no	—
521	D₄×C₄₇	C₂×#41	1	2	yes	—
522	C₂×C₄×C₄₇	—	2	2	no	—
523	C₂×C₄×C₄₇	—	2	1	no	—
524	C₂×C₄×C₄₇	—	2	4	no	—
525	C₂×C₄×C₄₇	—	2	2	no	—
526	C₂×C₄×C₄₇	—	2	2	no	—
527	C₂×C₄×C₄₇	—	2	1	no	—
528	C₂×C₄×C₄₇	—	2	1	no	—
529	C₂×C₄×C₄₇	—	2	1	no	—
530	C₂×C₄×C₄₇	—	2	1	no	—
531	C₂×C₄×C₄₇	—	2	1	no	—
532	C₂×C₄×C₄₇	—	2	1	no	—
533	C₂×C₄×C₄₇	—	2	1	no	—
534	C₂×C₄×C₄₇	—	2	1	no	—
535	C₂×C₄×C₄₇	—	2	1	no	—
536	C₂×C₄×C₄₇	—	4	2	no	—
537	C₂×C₄×C₄₇	—	4	2	no	—
538	C₂×C₄×C₄₇	—	4	2	no	—
539	C₂×C₄×C₄₇	—	4	2	no	—
540	C₂×C₄×C₄₇	—	4	2	no	—
541	C₂×C₄×C₄₇	—	8	1	no	—
542	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
546	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
547	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
548	C₂²⋊D₄₇	—	2	4	no	—
549	C₂²⋊D₄₇	—	2	4	no	—
550	C₂²⋊D₄₇	—	4	2	no	—
551	C₂²⋊D₄₇	—	4	4	no	—
552	C₂²⋊D₄₇	—	4	4	no	—
553	C₂²⋊D₄₇	—	4	4	no	—
554	C₂²⋊D₄₇	—	8	2	no	—
555	C₂²⋊D₄₇	—	8	2	no	—
556	C₂²⋊D₄₇	—	8	2	no	—
557	C₂²⋊D₄₇	—	8	2	no	—
558	C₂²⋊D₄₇	—	8	2	no	—
559	C₂×Dic₄₇	—	2	2	no	—
560	C₂×Dic₄₇	—	2	2	no	—
561	C₂×Dic₄₇	—	8	2	no	—
562	C₂×Dic₄₇	—	8	1	no	—
563	C₂×Dic₄₇	—	8	1	no	—
564	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
565	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
566	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
567	D₁₈₈	—	2	2	no	—
568	D₁₈₈	—	2	2	no	—
569	D₁₈₈	—	2	2	no	—
570	D₁₈₈	—	2	2	no	—
571	D₁₈₈	—	2	2	no	—
572	D₁₈₈	—	4	4	no	—
573	D₁₈₈	—	4	2	no	—
574	D₁₈₈	—	4	2	no	—
575	D₁₈₈	—	8	2	no	—
576	D₁₈₈	—	8	2	no	—
577	C₄×D₄₇	—	2	2	no	—
578	C₄×D₄₇	—	2	2	no	—
579	C₄×D₄₇	—	4	4	no	—
580	C₄×D₄₇	—	8	2	no	—
581	C₄×D₄₇	—	8	2	no	—
582	C₄×D₄₇	—	8	2	no	—
583	Dic₉₄	—	2	2	no	—
584	Dic₉₄	—	8	2	no	—
585	C₈×C₄₇	—	2	1	no	—
586	C₈×C₄₇	—	2	1	no	—
587	C₈×C₄₇	—	2	1	no	—
588	C₈×C₄₇	—	2	1	no	—
589	C₄₇⋊C₈	—	2	2	no	—
590	C₄₇⋊C₈	—	2	2	no	—
591	#61171	—	47	1	no	maximal, Sylow
592	C₂²×C₄₇	—	2	1	no	—
593	C₂²×C₄₇	—	2	1	no	—
594	C₂²×C₄₇	—	2	1	no	—
595	C₂²×C₄₇	—	2	1	no	—
596	C₂²×C₄₇	—	2	1	no	—
597	C₂²×C₄₇	—	2	2	no	—
598	C₂²×C₄₇	—	2	1	no	—
599	C₂²×C₄₇	—	2	1	no	—
600	C₂²×C₄₇	—	4	4	no	—
601	C₂²×C₄₇	—	4	1	no	—
602	C₂²×C₄₇	—	4	1	no	—
603	C₂²×C₄₇	—	4	1	no	—
604	C₂²×C₄₇	—	4	1	no	—
605	C₂²×C₄₇	—	4	1	no	—
606	C₂²×C₄₇	—	8	4	no	—
607	C₂²×C₄₇	#546	1	2	yes	—
608	C₂²×C₄₇	#576	1	2	yes	—
609	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
610	C₂×D₄₇	—	2	2	no	—
611	C₂×D₄₇	—	2	2	no	—
612	C₂×D₄₇	—	2	2	no	—
613	C₂×D₄₇	—	4	2	no	—
614	C₂×D₄₇	—	4	2	no	—
615	C₂×D₄₇	—	4	2	no	—
616	C₂×D₄₇	—	4	2	no	—
617	C₂×D₄₇	—	4	2	no	—
618	C₂×D₄₇	—	4	2	no	—
619	C₂×D₄₇	—	16	4	no	—
620	C₂×D₄₇	—	16	2	no	—
621	C₂×D₄₇	—	16	2	no	—
622	C₄×C₄₇	—	2	2	no	—
623	C₄×C₄₇	—	2	1	no	—
624	C₄×C₄₇	—	2	1	no	—
625	C₄×C₄₇	—	4	1	no	—
626	C₄×C₄₇	—	4	1	no	—
627	C₄×C₄₇	—	4	1	no	—
628	C₄×C₄₇	—	4	1	no	—
629	C₄×C₄₇	—	4	1	no	—
630	C₄×C₄₇	#546	1	2	yes	—
631	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
632	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
633	Dic₄₇	—	2	2	no	—
634	Dic₄₇	—	2	2	no	—
635	Dic₄₇	—	2	2	no	—
636	Dic₄₇	—	4	2	no	—
637	Dic₄₇	—	4	2	no	—
638	#3494	—	47	1	no	—
639	#3488	—	47	1	no	—
640	#3319	—	47	2	no	—
641	#3318	—	47	2	no	—
642	#3309	—	47	2	no	—
643	#3308	—	47	2	no	—
644	#3305	—	47	2	no	—
645	#3301	—	47	2	no	—
646	#3297	—	47	2	no	—
647	#3294	—	47	2	no	—
648	#3136	—	47	1	no	—
649	#3098	—	47	1	no	—
650	#3094	—	47	1	no	—
651	#3083	—	47	1	no	—
652	#3062	—	47	1	no	—
653	C₂×#466	—	47	1	no	—
654	#3041	—	47	1	no	—
655	#3008	—	47	1	no	—
656	#3006	—	47	1	no	—
657	#2946	—	47	1	no	—
658	#2929	—	47	1	no	—
659	#2897	—	47	1	no	—
660	C₂×#416	D₄₇	1	1	yes	characteristic, complemented
661	C₂×C₄₇	—	2	2	no	—
662	C₂×C₄₇	—	2	2	no	—
663	C₂×C₄₇	—	4	2	no	—
664	C₂×C₄₇	—	4	1	no	—
665	C₂×C₄₇	—	8	1	no	—
666	C₂×C₄₇	C₂×#546	1	1	yes	characteristic
667	C₂×C₄₇	C₂×#576	1	1	yes	characteristic
668	C₂×C₄₇	#3584	1	1	yes	characteristic
669	D₄₇	—	4	2	no	—
670	D₄₇	—	8	2	no	—
671	D₄₇	—	8	2	no	—
672	C₂×H(5,𝔽₂)	—	47	1	no	—
673	C₂²×#41	C₂×D₄₇	1	1	yes	characteristic
674	C₂×AGL(1,ℤ/8)	—	47	1	no	—
675	C₂×AGL(1,ℤ/8)	—	47	1	no	—
676	C₂²×D₈	—	47	1	no	—
677	C₂×#131	—	47	1	no	—
678	C₂³×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
679	#555	—	47	2	no	—
680	#553	—	47	2	no	—
681	#553	—	47	2	no	—
682	#551	—	94	2	no	—
683	#550	—	47	2	no	—
684	#548	—	47	2	no	—
685	#547	—	47	2	no	—
686	#546	—	47	2	no	—
687	#546	—	94	2	no	—
688	#546	—	94	2	no	—
689	D₄²	—	47	2	no	—
690	D₄²	—	94	2	no	—
691	#544	—	47	1	no	—
692	#542	—	94	1	no	—
693	#540	—	94	1	no	—
694	#537	—	47	1	no	—
695	#537	—	94	1	no	—
696	#535	—	47	1	no	—
697	#535	—	47	1	no	—
698	#535	—	94	1	no	—
699	#532	—	94	1	no	—
700	#529	—	94	1	no	—
701	#525	—	47	1	no	—
702	#525	—	94	1	no	—
703	C₂×#121	—	47	1	no	—
704	C₂×#121	—	47	1	no	—
705	C₂×#121	—	94	1	no	—
706	#520	—	47	1	no	—
707	#520	—	47	1	no	—
708	#518	—	47	1	no	—
709	C₂×#117	C₂×D₄₇	1	1	yes	characteristic, complemented
710	#490	—	47	2	no	—
711	#489	—	47	2	no	—
712	#488	—	47	2	no	—
713	#486	—	47	2	no	—
714	#485	—	47	2	no	—
715	#484	—	47	2	no	—
716	#482	—	47	2	no	—
717	#482	—	47	2	no	—
718	#482	—	47	2	no	—
719	#481	—	47	2	no	—
720	#480	—	47	2	no	—
721	#480	—	47	2	no	—
722	#479	—	47	2	no	—
723	#478	—	47	2	no	—
724	#477	—	47	2	no	—
725	#474	—	47	2	no	—
726	#469	—	47	2	no	—
727	#468	—	47	2	no	—
728	#466	—	47	2	no	—
729	#466	—	47	2	no	—
730	#466	—	47	2	no	—
731	#466	—	47	2	no	—
732	#466	—	47	2	no	—
733	#465	—	47	2	no	—
734	#463	—	47	2	no	—
735	#463	—	47	2	no	—
736	#459	—	47	2	no	—
737	#459	—	47	2	no	—
738	#449	—	47	2	no	—
739	#449	—	47	2	no	—
740	#449	—	47	2	no	—
741	#449	—	47	2	no	—
742	#448	—	47	2	no	—
743	#447	—	47	2	no	—
744	#447	—	47	2	no	—
745	#447	—	47	2	no	—
746	#442	—	47	2	no	—
747	#440	—	47	2	no	—
748	C₄×SD₁₆	—	47	2	no	—
749	C₄×D₈	—	47	2	no	—
750	#435	—	47	2	no	—
751	#435	—	47	2	no	—
752	C₈×D₄	—	47	2	no	—
753	C₈×D₄	—	47	2	no	—
754	#428	—	47	1	no	—
755	#428	—	47	1	no	—
756	C₂×#107	—	47	1	no	—
757	#424	—	47	1	no	—
758	#418	—	47	1	no	—
759	#418	—	47	1	no	—
760	#418	—	47	2	no	—
761	#417	—	47	1	no	—
762	#417	—	47	1	no	—
763	#417	—	47	2	no	—
764	#416	—	47	2	no	—
765	#416	C₂×D₄₇	1	1	yes	characteristic
766	#416	C₂×D₄₇	1	1	yes	characteristic
767	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
768	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
769	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
770	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
771	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
772	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
773	C₂×#103	C₂×D₄₇	1	1	yes	characteristic, complemented
774	C₂×#103	C₂×D₄₇	1	1	yes	characteristic, complemented
775	C₂×#102	—	47	1	no	—
776	C₂×#102	—	47	1	no	—
777	C₂×#102	—	47	2	no	—
778	C₂×#102	C₂×D₄₇	1	1	yes	characteristic, complemented
779	C₂×#102	C₂×D₄₇	1	1	yes	characteristic, complemented
780	#408	—	47	1	no	—
781	#407	—	47	1	no	—
782	#405	—	47	1	no	—
783	C₄₇	#61171	1	1	yes	characteristic, complemented, Sylow
784	H(5,𝔽₂)	—	94	4	no	—
785	H(5,𝔽₂)	—	188	2	no	—
786	C₂×#41	—	2	1	no	—
787	C₂×#41	—	2	1	no	—
788	C₂×#41	—	2	4	no	—
789	C₂×#41	—	4	2	no	—
790	C₂×#41	—	47	1	no	—
791	C₂×#41	—	47	2	no	—
792	C₂×#41	—	94	2	no	—
793	C₂×#41	—	94	1	no	—
794	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
795	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
796	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
797	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
798	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
799	C₂²×D₄	—	2	1	no	—
800	C₂²×D₄	—	47	2	no	—
801	C₂²×D₄	—	47	1	no	—
802	C₂²×D₄	—	47	1	no	—
803	C₂²×D₄	—	94	1	no	—
804	C₂²×D₄	—	94	2	no	—
805	C₂²×D₄	—	94	2	no	—
806	C₂²×D₄	—	94	1	no	—
807	C₂²×D₄	—	94	1	no	—
808	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
809	C₂³×C₄	—	2	1	no	—
810	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
811	AGL(1,ℤ/8)	—	94	4	no	—
812	AGL(1,ℤ/8)	—	188	2	no	—
813	C₂×SD₁₆	—	47	2	no	—
814	C₂×SD₁₆	—	47	2	no	—
815	C₂×D₈	—	47	2	no	—
816	C₂×D₈	—	47	2	no	—
817	C₂×D₈	—	47	2	no	—
818	C₂×D₈	—	47	2	no	—
819	C₂×D₈	—	188	2	no	—
820	#131	—	188	2	no	—
821	C₂×M₁₆	—	47	1	no	—
822	C₂×M₁₆	—	47	1	no	—
823	C₂×M₁₆	—	47	2	no	—
824	C₂²×C₈	—	4	2	no	—
825	C₂²×C₈	—	47	2	no	—
826	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
827	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
828	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
829	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
830	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
831	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
832	C₄⋊Q₈	—	47	2	no	—
833	C₄⋊Q₈	—	94	1	no	—
834	#127	—	47	2	no	—
835	#127	—	94	1	no	—
836	#127	—	94	2	no	—
837	#126	—	94	2	no	—
838	#126	—	94	2	no	—
839	#125	—	47	2	no	—
840	#125	—	94	1	no	—
841	#124	—	47	2	no	—
842	#124	—	94	2	no	—
843	#124	—	94	1	no	—
844	#124	—	94	2	no	—
845	#124	—	94	2	no	—
846	#123	—	47	2	no	—
847	#123	—	94	2	no	—
848	#123	—	94	2	no	—
849	#123	—	94	2	no	—
850	#123	—	94	2	no	—
851	#123	—	94	2	no	—
852	C₂²⋊Q₈	—	47	1	no	—
853	C₂²⋊Q₈	—	47	1	no	—
854	C₂²⋊Q₈	—	47	2	no	—
855	C₂²⋊Q₈	—	94	2	no	—
856	C₂²⋊Q₈	—	94	2	no	—
857	C₂²⋊Q₈	—	94	2	no	—
858	C₂²⋊Q₈	—	94	1	no	—
859	#121	—	47	1	no	—
860	#121	—	47	1	no	—
861	#121	—	47	2	no	—
862	#121	—	47	2	no	—
863	#121	—	47	2	no	—
864	#121	—	47	2	no	—
865	#121	—	47	2	no	—
866	#121	—	47	2	no	—
867	#121	—	47	2	no	—
868	#121	—	94	2	no	—
869	#121	—	94	2	no	—
870	#121	—	94	2	no	—
871	#121	—	94	2	no	—
872	#121	—	94	2	no	—
873	#121	—	94	1	no	—
874	#121	—	94	1	no	—
875	#121	—	94	2	no	—
876	#121	—	94	1	no	—
877	#121	—	94	2	no	—
878	#121	—	94	2	no	—
879	#121	—	94	2	no	—
880	#121	—	94	1	no	—
881	#121	—	94	1	no	—
882	#121	—	94	1	no	—
883	#121	—	94	1	no	—
884	#120	—	47	2	no	—
885	#120	—	94	2	no	—
886	#120	—	94	2	no	—
887	#120	—	94	2	no	—
888	#120	—	94	2	no	—
889	#120	—	94	2	no	—
890	C₄×Q₈	—	47	2	no	—
891	C₄×Q₈	—	94	1	no	—
892	C₄×D₄	—	47	2	no	—
893	C₄×D₄	—	47	2	no	—
894	C₄×D₄	—	47	2	no	—
895	C₄×D₄	—	47	2	no	—
896	C₄×D₄	—	47	2	no	—
897	C₄×D₄	—	94	2	no	—
898	C₄×D₄	—	94	1	no	—
899	C₄×D₄	—	94	1	no	—
900	C₄×D₄	—	94	1	no	—
901	C₄×D₄	—	94	2	no	—
902	C₄×D₄	—	94	2	no	—
903	C₄×D₄	—	94	2	no	—
904	C₄×D₄	—	94	2	no	—
905	C₄×D₄	—	94	2	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	47	1	no	—
909	#117	—	47	2	no	—
910	#117	—	94	2	no	—
911	#117	—	94	1	no	—
912	#117	C₂²×D₄₇	1	1	yes	characteristic
913	#117	C₂²×D₄₇	1	1	yes	characteristic
914	#117	C₂²×D₄₇	1	1	yes	characteristic
915	#117	C₂²×D₄₇	1	1	yes	characteristic
916	C₂×C₄⋊C₄	—	47	1	no	—
917	C₂×C₄⋊C₄	—	47	1	no	—
918	C₂×C₄⋊C₄	—	47	2	no	—
919	C₂×C₄⋊C₄	—	94	1	no	—
920	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	—	2	1	no	—
923	C₂×C₂²⋊C₄	—	94	2	no	—
924	C₂×C₂²⋊C₄	—	94	2	no	—
925	C₂×C₂²⋊C₄	—	94	1	no	—
926	C₂×C₂²⋊C₄	—	94	1	no	—
927	C₂×C₄²	—	2	1	no	—
928	#107	—	47	2	no	—
929	#107	—	47	2	no	—
930	#107	—	47	2	no	—
931	#107	—	47	2	no	—
932	#106	—	47	2	no	—
933	#106	—	47	2	no	—
934	C₄⋊C₈	—	47	2	no	—
935	C₄⋊C₈	—	47	2	no	—
936	#103	—	47	2	no	—
937	#103	—	47	2	no	—
938	#103	C₂²×D₄₇	1	1	yes	characteristic
939	#103	C₂²×D₄₇	1	1	yes	characteristic
940	#103	C₂²×D₄₇	1	1	yes	characteristic
941	#103	C₂²×D₄₇	1	1	yes	characteristic
942	#103	C₂²×D₄₇	1	1	yes	characteristic
943	#103	C₂²×D₄₇	1	1	yes	characteristic
944	#103	C₂²×D₄₇	1	1	yes	characteristic
945	#103	C₂²×D₄₇	1	1	yes	characteristic
946	#102	—	47	2	no	—
947	#102	—	47	2	no	—
948	#102	—	47	2	no	—
949	#102	—	47	2	no	—
950	#102	—	47	2	no	—
951	#102	—	47	2	no	—
952	#102	—	47	2	no	—
953	#102	—	47	2	no	—
954	#102	—	47	2	no	—
955	#102	—	47	2	no	—
956	#102	C₂²×D₄₇	1	1	yes	characteristic
957	#102	C₂²×D₄₇	1	1	yes	characteristic
958	#102	C₂²×D₄₇	1	1	yes	characteristic
959	#102	C₂²×D₄₇	1	1	yes	characteristic
960	#102	C₂²×D₄₇	1	1	yes	characteristic
961	#102	C₂²×D₄₇	1	1	yes	characteristic
962	#102	C₂²×D₄₇	1	1	yes	characteristic
963	#102	C₂²×D₄₇	1	1	yes	characteristic
964	C₂²⋊C₈	—	47	2	no	—
965	C₂²⋊C₈	—	47	2	no	—
966	C₂²⋊C₈	—	47	2	no	—
967	C₂²⋊C₈	—	47	2	no	—
968	#97	—	47	2	no	—
969	C₄×C₈	—	47	2	no	—
970	C₂⁴	—	2	1	no	—
971	C₂⁴	—	94	2	no	—
972	C₂⁴	—	94	1	no	—
973	C₂⁴	—	94	1	no	—
974	C₂⁴	D₄×D₄₇	1	1	yes	characteristic
975	#41	—	2	2	no	—
976	#41	—	2	2	no	—
977	#41	—	2	2	no	—
978	#41	—	2	2	no	—
979	#41	—	2	2	no	—
980	#41	—	4	4	no	—
981	#41	—	4	1	no	—
982	#41	—	4	1	no	—
983	#41	—	4	4	no	—
984	#41	—	94	2	no	—
985	#41	—	94	2	no	—
986	#41	—	94	4	no	—
987	#41	—	376	4	no	—
988	#41	—	188	4	no	—
989	#41	—	188	2	no	—
990	#41	#10625350	1	4	yes	complemented
991	C₂×Q₈	—	2	1	no	—
992	C₂×Q₈	—	2	2	no	—
993	C₂×Q₈	—	4	1	no	—
994	C₂×Q₈	—	47	1	no	—
995	C₂×Q₈	—	94	2	no	—
996	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
997	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	4	1	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	47	2	no	—
1007	C₂×D₄	—	47	2	no	—
1008	C₂×D₄	—	47	2	no	—
1009	C₂×D₄	—	47	1	no	—
1010	C₂×D₄	—	47	2	no	—
1011	C₂×D₄	—	47	2	no	—
1012	C₂×D₄	—	94	2	no	—
1013	C₂×D₄	—	94	2	no	—
1014	C₂×D₄	—	94	2	no	—
1015	C₂×D₄	—	94	2	no	—
1016	C₂×D₄	—	94	2	no	—
1017	C₂×D₄	—	94	2	no	—
1018	C₂×D₄	—	94	4	no	—
1019	C₂×D₄	—	94	2	no	—
1020	C₂×D₄	—	94	2	no	—
1021	C₂×D₄	—	94	2	no	—
1022	C₂×D₄	—	94	2	no	—
1023	C₂×D₄	—	94	2	no	—
1024	C₂×D₄	—	94	1	no	—
1025	C₂×D₄	—	94	1	no	—
1026	C₂×D₄	—	94	2	no	—
1027	C₂×D₄	—	94	2	no	—
1028	C₂×D₄	—	94	2	no	—
1029	C₂×D₄	—	94	2	no	—
1030	C₂×D₄	—	376	4	no	—
1031	C₂×D₄	—	376	2	no	—
1032	C₂×D₄	—	376	2	no	—
1033	C₂×D₄	—	188	4	no	—
1034	C₂×D₄	—	188	2	no	—
1035	C₂×D₄	—	188	8	no	—
1036	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1037	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	2	1	no	—
1042	C₂²×C₄	—	2	1	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	1	no	—
1045	C₂²×C₄	—	2	1	no	—
1046	C₂²×C₄	—	2	1	no	—
1047	C₂²×C₄	—	4	4	no	—
1048	C₂²×C₄	—	47	2	no	—
1049	C₂²×C₄	—	94	2	no	—
1050	C₂²×C₄	—	94	2	no	—
1051	C₂²×C₄	—	94	2	no	—
1052	C₂²×C₄	—	94	2	no	—
1053	C₂²×C₄	—	94	2	no	—
1054	C₂²×C₄	—	94	1	no	—
1055	C₂²×C₄	—	94	1	no	—
1056	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1057	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1058	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1062	SD₁₆	—	94	4	no	—
1063	SD₁₆	—	188	2	no	—
1064	D₈	—	94	4	no	—
1065	D₈	—	188	2	no	—
1066	D₈	—	188	2	no	—
1067	D₈	—	188	2	no	—
1068	M₁₆	—	94	2	no	—
1069	M₁₆	—	94	2	no	—
1070	M₁₆	—	188	2	no	—
1071	C₂×C₈	—	2	2	no	—
1072	C₂×C₈	—	2	2	no	—
1073	C₂×C₈	—	4	1	no	—
1074	C₂×C₈	—	4	1	no	—
1075	C₂×C₈	—	4	1	no	—
1076	C₂×C₈	—	4	1	no	—
1077	C₂×C₈	—	47	2	no	—
1078	C₂×C₈	—	47	2	no	—
1079	C₂×C₈	—	188	2	no	—
1080	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1081	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1082	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1083	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	47	2	no	—
1087	C₄⋊C₄	—	47	2	no	—
1088	C₄⋊C₄	—	47	1	no	—
1089	C₄⋊C₄	—	47	1	no	—
1090	C₄⋊C₄	—	47	2	no	—
1091	C₄⋊C₄	—	47	2	no	—
1092	C₄⋊C₄	—	94	2	no	—
1093	C₄⋊C₄	—	94	2	no	—
1094	C₄⋊C₄	—	94	2	no	—
1095	C₄⋊C₄	—	94	2	no	—
1096	C₄⋊C₄	—	94	2	no	—
1097	C₄⋊C₄	—	94	2	no	—
1098	C₄⋊C₄	—	94	1	no	—
1099	C₄⋊C₄	—	94	1	no	—
1100	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1101	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1102	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1103	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	47	2	no	—
1109	C₂²⋊C₄	—	47	2	no	—
1110	C₂²⋊C₄	—	47	2	no	—
1111	C₂²⋊C₄	—	47	2	no	—
1112	C₂²⋊C₄	—	47	2	no	—
1113	C₂²⋊C₄	—	94	2	no	—
1114	C₂²⋊C₄	—	94	2	no	—
1115	C₂²⋊C₄	—	94	2	no	—
1116	C₂²⋊C₄	—	94	2	no	—
1117	C₂²⋊C₄	—	94	2	no	—
1118	C₂²⋊C₄	—	94	2	no	—
1119	C₂²⋊C₄	—	94	2	no	—
1120	C₂²⋊C₄	—	94	2	no	—
1121	C₂²⋊C₄	—	94	2	no	—
1122	C₂²⋊C₄	—	94	2	no	—
1123	C₂²⋊C₄	—	94	2	no	—
1124	C₂²⋊C₄	—	94	2	no	—
1125	C₂²⋊C₄	—	94	2	no	—
1126	C₂²⋊C₄	—	94	2	no	—
1127	C₄²	—	2	1	no	—
1128	C₄²	—	2	1	no	—
1129	C₄²	—	2	1	no	—
1130	C₄²	—	2	1	no	—
1131	C₄²	—	47	2	no	—
1132	C₄²	—	94	2	no	—
1133	C₄²	—	94	2	no	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	4	1	no	—
1139	C₂³	—	4	2	no	—
1140	C₂³	—	4	2	no	—
1141	C₂³	—	8	1	no	—
1142	C₂³	—	47	2	no	—
1143	C₂³	—	94	2	no	—
1144	C₂³	—	94	2	no	—
1145	C₂³	—	376	1	no	—
1146	C₂³	—	376	1	no	—
1147	C₂³	—	376	1	no	—
1148	C₂³	—	376	1	no	—
1149	C₂³	—	376	2	no	—
1150	C₂³	—	376	2	no	—
1151	C₂³	—	188	4	no	—
1152	C₂³	—	188	2	no	—
1153	C₂³	—	188	2	no	—
1154	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1155	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1156	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1157	Q₈	—	2	1	no	—
1158	Q₈	—	2	1	no	—
1159	Q₈	—	2	1	no	—
1160	Q₈	—	4	2	no	—
1161	Q₈	—	94	2	no	—
1162	Q₈	—	376	2	no	—
1163	Q₈	C₂×#10625350	1	2	yes	—
1164	D₄	—	2	4	no	—
1165	D₄	—	2	1	no	—
1166	D₄	—	2	1	no	—
1167	D₄	—	2	1	no	—
1168	D₄	—	4	2	no	—
1169	D₄	—	4	2	no	—
1170	D₄	—	4	2	no	—
1171	D₄	—	4	2	no	—
1172	D₄	—	94	4	no	—
1173	D₄	—	94	4	no	—
1174	D₄	—	94	2	no	—
1175	D₄	—	94	2	no	—
1176	D₄	—	94	2	no	—
1177	D₄	—	94	2	no	—
1178	D₄	—	94	2	no	—
1179	D₄	—	376	2	no	—
1180	D₄	—	376	2	no	—
1181	D₄	—	376	2	no	—
1182	D₄	—	376	2	no	—
1183	D₄	—	376	2	no	—
1184	D₄	—	376	2	no	—
1185	D₄	—	376	2	no	—
1186	D₄	—	188	4	no	—
1187	D₄	—	188	2	no	—
1188	D₄	—	188	4	no	—
1189	D₄	—	188	4	no	—
1190	D₄	—	188	4	no	—
1191	D₄	—	188	2	no	—
1192	D₄	—	188	2	no	—
1193	D₄	C₂×#10625350	1	2	yes	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	4	2	no	—
1209	C₂×C₄	—	4	2	no	—
1210	C₂×C₄	—	4	2	no	—
1211	C₂×C₄	—	4	2	no	—
1212	C₂×C₄	—	4	2	no	—
1213	C₂×C₄	—	8	1	no	—
1214	C₂×C₄	—	47	2	no	—
1215	C₂×C₄	—	47	2	no	—
1216	C₂×C₄	—	47	2	no	—
1217	C₂×C₄	—	94	2	no	—
1218	C₂×C₄	—	94	2	no	—
1219	C₂×C₄	—	94	2	no	—
1220	C₂×C₄	—	94	2	no	—
1221	C₂×C₄	—	376	2	no	—
1222	C₂×C₄	—	376	2	no	—
1223	C₂×C₄	—	376	2	no	—
1224	C₂×C₄	—	376	2	no	—
1225	C₂×C₄	—	376	1	no	—
1226	C₂×C₄	—	376	1	no	—
1227	C₂×C₄	—	188	4	no	—
1228	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1229	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1230	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1231	C₂×C₄	C₂×#10625350	1	2	yes	—
1232	C₂×C₄	#13094069	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1234	C₈	—	2	1	no	—
1235	C₈	—	2	1	no	—
1236	C₈	—	2	1	no	—
1237	C₈	—	2	1	no	—
1238	C₈	—	94	2	no	—
1239	C₈	—	94	2	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	1	no	—
1242	C₂²	—	2	1	no	—
1243	C₂²	—	2	1	no	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	2	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	1	no	—
1248	C₂²	—	4	4	no	—
1249	C₂²	—	4	1	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	—	8	4	no	—
1255	C₂²	—	94	2	no	—
1256	C₂²	—	94	2	no	—
1257	C₂²	—	94	2	no	—
1258	C₂²	—	188	2	no	—
1259	C₂²	—	188	2	no	—
1260	C₂²	—	188	2	no	—
1261	C₂²	—	188	2	no	—
1262	C₂²	—	188	2	no	—
1263	C₂²	—	188	2	no	—
1264	C₂²	—	752	2	no	—
1265	C₂²	—	752	2	no	—
1266	C₂²	—	752	4	no	—
1267	C₂²	#15689763	1	2	yes	—
1268	C₂²	#15689925	1	2	yes	—
1269	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1270	C₄	—	2	1	no	—
1271	C₄	—	2	1	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	94	2	no	—
1279	C₄	—	94	2	no	—
1280	C₄	—	94	2	no	—
1281	C₄	—	188	2	no	—
1282	C₄	—	188	2	no	—
1283	C₄	#15689763	1	2	yes	—
1284	C₄	C₂²×#10625350	1	1	yes	characteristic
1285	C₄	C₂×#13094069	1	1	yes	characteristic
1286	C₂	—	2	2	no	—
1287	C₂	—	2	2	no	—
1288	C₂	—	4	1	no	—
1289	C₂	—	4	2	no	—
1290	C₂	—	8	1	no	—
1291	C₂	—	376	2	no	—
1292	C₂	—	376	2	no	—
1293	C₂	—	188	2	no	—
1294	C₂	C₂×#15689763	1	1	yes	characteristic
1295	C₂	C₂×#15689925	1	1	yes	characteristic
1296	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄₇×#416	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	C₂×#416	D₄₇
hypocenter	C₄₇	#61171
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂×#416

Complements

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

N	H ≅ G/N	type
1. #20257123	C₂	semidirect
2. #20257057	C₂	semidirect
3. #20255540	C₂	semidirect
4. #20255525	C₂	semidirect
5. #20255390	C₂	semidirect
6. #20255375	C₂	semidirect
7. #20255334	C₂	semidirect
8. #20255286	C₂	semidirect
9. #20255239	C₂	semidirect
10. #20255197	C₂	semidirect
11. #20253746	C₂	semidirect
12. #20253364	C₂	semidirect
13. #20253328	C₂	semidirect
14. #20253237	C₂	semidirect
15. #20253071	C₂	semidirect
16. C₂×#15689359	C₂	semidirect
17. #20252894	C₂	semidirect
18. #20252659	C₂	semidirect
19. #20252640	C₂	semidirect
20. #20252223	C₂	semidirect
21. #20252082	C₂	semidirect
22. #20251910	C₂	semidirect
23. C₂×C₄₇×#416	C₂	semidirect
26. C₂×#13094049	C₂²	semidirect
27. C₂²×D₃₇₆	C₂²	semidirect
28. C₂×#13094030	C₂²	semidirect
29. #15689836	C₂²	semidirect
30. #15689821	C₂²	semidirect
31. #15689817	C₂²	semidirect
33. #15689792	C₂²	semidirect
34. #15689784	C₂²	semidirect
35. #15689774	C₂²	semidirect
38. #15689761	C₂²	semidirect
40. D₄×C₂²⋊D₄₇	C₂²	semidirect
41. #15689751	C₂²	semidirect
46. #15689692	C₂²	semidirect
55. C₂×#13093998	C₂²	semidirect
57. #15689603	C₂²	semidirect
58. #15689597	C₂²	semidirect
59. #15689486	C₂²	semidirect
60. #15689484	C₂²	semidirect
61. #15689479	C₂²	semidirect
62. #15689468	C₂²	semidirect
63. #15689463	C₂²	semidirect
64. #15689457	C₂²	semidirect
65. #15689447	C₂²	semidirect
66. #15689447	C₂²	semidirect
67. #15689445	C₂²	semidirect
68. #15689441	C₂²	semidirect
69. #15689436	C₂²	semidirect
70. #15689435	C₂²	semidirect
71. #15689432	C₂²	semidirect
72. #15689421	C₂²	semidirect
73. #15689416	C₂²	semidirect
74. #15689401	C₂²	semidirect
75. #15689375	C₂²	semidirect
76. #15689372	C₂²	semidirect
77. #15689359	C₂²	semidirect
78. #15689359	C₂²	semidirect
79. #15689359	C₂²	semidirect
80. #15689359	C₂²	semidirect
81. #15689358	C₂²	semidirect
82. #15689355	C₂²	semidirect
83. #15689341	C₂²	semidirect
84. #15689341	C₂²	semidirect
85. #15689317	C₂²	semidirect
86. #15689317	C₂²	semidirect
87. #15689271	C₂²	semidirect
88. #15689271	C₂²	semidirect
89. #15689268	C₂²	semidirect
90. #15689268	C₂²	semidirect
91. #15689262	C₂²	semidirect
92. #15689258	C₂²	semidirect
93. #15689258	C₂²	semidirect
94. #15689257	C₂²	semidirect
95. #15689232	C₂²	semidirect
96. #15689226	C₂²	semidirect
97. #15689208	C₂²	semidirect
98. #15689203	C₂²	semidirect
99. #15689194	C₂²	semidirect
100. #15689194	C₂²	semidirect
101. C₈×C₂²⋊D₄₇	C₂²	semidirect
102. C₈×C₂²⋊D₄₇	C₂²	semidirect
103. #15689166	C₂²	semidirect
104. #15689166	C₂²	semidirect
105. C₂×#13093958	C₂²	semidirect
106. #15689149	C₂²	semidirect
107. #15689127	C₂²	semidirect
108. #15689127	C₂²	semidirect
109. #15689126	C₂²	semidirect
111. #15689124	C₂²	semidirect
112. #15689123	C₂²	semidirect
113. #15689118	C₂²	semidirect
114. C₂×#13093946	C₂²	semidirect
115. C₂×#13093946	C₂²	semidirect
116. #102×D₄₇	C₂²	semidirect
117. #15689089	C₂²	semidirect
118. #15689087	C₂²	semidirect
119. #15689078	C₂²	semidirect
121. C₂³×C₈×C₄₇	C₂²	semidirect
122. C₂×#117×C₄₇	C₂²	semidirect
125. C₄₇×#416	C₂²	semidirect
126. C₄₇×#416	C₂²	semidirect
127. C₄₇×#416	C₂²	semidirect
128. C₄₇×#416	C₂²	semidirect
129. C₄₇×#416	C₂²	semidirect
130. C₄₇×#416	C₂²	semidirect
131. C₂×#103×C₄₇	C₂²	semidirect
132. C₂×#103×C₄₇	C₂²	semidirect
133. C₂×#102×C₄₇	C₂²	semidirect
134. C₂×#102×C₄₇	C₂²	semidirect
335. #41×C₄₇	#41	semidirect
660. C₂×#416	D₄₇	semidirect
678. C₂³×C₈	C₂×D₄₇	semidirect
709. C₂×#117	C₂×D₄₇	semidirect
767. #416	C₂×D₄₇	semidirect
768. #416	C₂×D₄₇	semidirect
769. #416	C₂×D₄₇	semidirect
770. #416	C₂×D₄₇	semidirect
771. #416	C₂×D₄₇	semidirect
772. #416	C₂×D₄₇	semidirect
773. C₂×#103	C₂×D₄₇	semidirect
774. C₂×#103	C₂×D₄₇	semidirect
778. C₂×#102	C₂×D₄₇	semidirect
779. C₂×#102	C₂×D₄₇	semidirect
783. C₄₇	#61171	semidirect
990. #41	#10625350	semidirect

Maximal subgroups

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

subgroup	index
#20257123	2
#20257057	2
#20255540	2
#20255525	2
#20255390	2
#20255375	2
#20255334	2
#20255286	2
#20255239	2
#20255197	2
#20253746	2
#20253364	2
#20253328	2
#20253237	2
#20253071	2
C₂×#15689359	2
#20252894	2
#20252659	2
#20252640	2
#20252223	2
#20252082	2
#20251910	2
C₂×C₄₇×#416	2
#61171	47