Subgroups — C₄×#15689930 #27080503

Order 12032.

2742 conjugacy classes of subgroups.

The subgroup lattice has 1232 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689930	C₂	1	1	yes	maximal, characteristic
2	C₄×#13094071	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×#13094070	C₂	1	1	yes	maximal, characteristic, complemented
4	#20252272	C₂	1	1	yes	maximal, characteristic, complemented
5	#20252266	C₂	1	2	yes	maximal, complemented
6	#20252246	C₂	1	1	yes	maximal, characteristic, complemented
7	#20252242	C₂	1	2	yes	maximal, complemented
8	#20252234	C₂	1	1	yes	maximal, characteristic, complemented
9	#20252226	C₂	1	2	yes	maximal, complemented
10	#20252223	C₂	1	1	yes	maximal, characteristic, complemented
11	#20252213	C₂	1	2	yes	maximal, complemented
12	C₄×#13094056	C₂	1	2	yes	maximal, complemented
13	C₄×#13094054	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×#13094049	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×#13094048	C₂	1	2	yes	maximal, complemented
16	C₄×#13094045	C₂	1	2	yes	maximal, complemented
17	C₂×C₄×#10625325	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×SD₁₆×D₄₇	C₂	1	2	yes	maximal, complemented
19	#20251980	C₂	1	1	yes	maximal, characteristic, complemented
20	#20251917	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251910	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13094030	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#135×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094071	C₂²	1	1	yes	characteristic
25	C₂×#13094070	C₂²	1	1	yes	characteristic
26	#15689930	C₄	1	16	yes	direct product factor
27	C₂×#13094056	C₂²	1	2	yes	—
28	C₂×#13094054	C₂²	1	1	yes	characteristic
29	C₂×#13094049	C₂²	1	1	yes	characteristic
30	C₂×#13094048	C₂²	1	2	yes	—
31	C₂×#13094045	C₂²	1	2	yes	—
32	C₂²×#10625325	C₂²	1	1	yes	characteristic
33	C₂×SD₁₆×D₄₇	C₂²	1	2	yes	—
34	C₂×#13094030	C₂²	1	1	yes	characteristic
35	C₂×#13094030	C₂²	1	1	yes	characteristic
36	#15689606	C₂²	1	1	yes	characteristic
37	#15689606	C₂²	1	1	yes	characteristic, complemented
38	#15689605	C₂²	1	2	yes	—
39	#15689603	—	2	1	no	—
40	#15689603	—	2	1	no	—
41	#15689603	C₂²	1	1	yes	characteristic
42	#15689603	C₂²	1	1	yes	characteristic
43	#15689602	—	2	2	no	—
44	#15689602	C₂²	1	2	yes	complemented
45	#15689600	—	2	1	no	—
46	#15689600	C₂²	1	1	yes	characteristic, complemented
47	#15689599	C₂²	1	2	yes	complemented
48	#15689597	—	2	1	no	—
49	#15689597	C₂²	1	1	yes	characteristic
50	#15689595	—	2	2	no	—
51	#15689595	C₂²	1	2	yes	—
52	C₄×#10625354	C₂²	1	2	yes	—
53	C₄×#10625350	—	2	1	no	—
54	C₄×#10625350	—	2	1	no	—
55	C₄×#10625350	C₂²	1	1	yes	characteristic
56	C₄×#10625352	—	2	2	no	—
57	C₄×#10625352	C₂²	1	2	yes	complemented
58	C₂×C₄×Dic₉₄	—	2	1	no	—
59	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
60	C₄×Q₈×D₄₇	C₂²	1	2	yes	complemented
61	C₂×C₄×D₁₈₈	—	2	1	no	—
62	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
63	C₄×D₄×D₄₇	—	2	2	no	—
64	C₄×D₄×D₄₇	C₂²	1	2	yes	—
65	#15689235	C₂²	1	2	yes	complemented
66	#15689233	C₂²	1	2	yes	complemented
67	#15689232	C₂²	1	2	yes	complemented
68	#15689230	C₂²	1	2	yes	complemented
69	#15689228	C₂²	1	2	yes	complemented
70	#15689227	C₂²	1	2	yes	complemented
71	#15689226	C₂²	1	2	yes	complemented
72	#15689223	C₂²	1	2	yes	complemented
73	#15689222	C₂²	1	2	yes	complemented
74	#15689222	C₂²	1	2	yes	complemented
75	#15689221	C₂²	1	2	yes	complemented
76	#15689220	C₂²	1	2	yes	complemented
77	C₄×#10625337	C₂²	1	2	yes	complemented
78	#15689215	C₂²	1	2	yes	complemented
79	#15689214	C₂²	1	2	yes	complemented
80	C₄×#10625325	C₂²	1	2	yes	complemented
81	C₄×#10625325	C₂²	1	2	yes	complemented
82	C₄×#10625325	C₂²	1	2	yes	complemented
83	C₄×#10625325	C₂²	1	2	yes	complemented
84	SD₁₆×Dic₄₇	C₂²	1	2	yes	complemented
85	SD₁₆×Dic₄₇	C₂²	1	2	yes	complemented
86	C₄×#10625336	C₂²	1	2	yes	complemented
87	#15689210	C₂²	1	2	yes	complemented
88	#15689210	C₂²	1	2	yes	complemented
89	C₄×#10625335	C₂²	1	2	yes	complemented
90	#15689208	C₂²	1	2	yes	complemented
91	C₄×#10625334	C₂²	1	2	yes	complemented
92	#15689203	C₂²	1	2	yes	complemented
93	#15689166	C₂²	1	1	yes	characteristic, complemented
94	#15689166	C₂²	1	1	yes	characteristic, complemented
95	#15689164	C₂²	1	2	yes	complemented
96	#15689164	C₂²	1	2	yes	complemented
97	#15689158	C₂²	1	2	yes	complemented
98	C₂×#13093956	C₂²	1	1	yes	characteristic, complemented
99	#106×D₄₇	C₂²	1	2	yes	complemented
100	#15689131	C₂²	1	1	yes	characteristic, complemented
101	#15689130	C₂²	1	2	yes	complemented
102	#15689127	C₂²	1	1	yes	characteristic
103	#15689126	C₂²	1	2	yes	—
104	#15689124	C₂²	1	1	yes	characteristic
105	#15689124	C₂²	1	1	yes	characteristic, complemented
106	#15689123	C₂²	1	2	yes	—
107	#15689121	C₂²	1	2	yes	complemented
108	#15689118	C₂²	1	2	yes	—
109	#15689116	C₂²	1	2	yes	complemented
110	C₂×#13093949	C₂²	1	1	yes	characteristic, complemented
111	#103×D₄₇	C₂²	1	2	yes	complemented
112	C₂×#13093946	C₂²	1	1	yes	characteristic
113	#102×D₄₇	C₂²	1	2	yes	—
114	#15689078	C₂²	1	1	yes	characteristic, complemented
115	#15689078	C₂²	1	1	yes	characteristic, complemented
116	#15689077	C₂²	1	2	yes	complemented
117	#15689077	C₂²	1	2	yes	complemented
118	C₄×#10625329	C₂²	1	1	yes	characteristic, complemented
119	C₄×#10625324	C₂²	1	2	yes	complemented
120	C₄×C₈×D₄₇	C₂²	1	2	yes	complemented
121	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
122	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
123	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
125	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
127	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
129	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
130	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₄×D₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#427	C₂²	1	1	yes	characteristic, complemented
133	C₄₇×#416	C₂²	1	1	yes	characteristic
134	C₄₇×#416	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
136	#13094071	—	2	4	no	—
137	#13094071	C₂×C₄	1	8	yes	complemented
138	#13094070	—	2	4	no	—
139	#13094070	C₂×C₄	1	8	yes	complemented
140	C₂×#10625354	C₂³	1	2	yes	—
141	C₂×#10625350	—	2	1	no	—
142	C₂×#10625350	—	2	1	no	—
143	C₂×#10625350	C₂³	1	1	yes	characteristic
144	C₂×#10625352	—	2	2	no	—
145	C₂×#10625352	C₂³	1	2	yes	—
146	C₂²×Dic₉₄	—	2	1	no	—
147	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
148	C₂×Q₈×D₄₇	C₂³	1	2	yes	—
149	C₂²×D₁₈₈	—	2	1	no	—
150	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
151	C₂×D₄×D₄₇	—	2	2	no	—
152	C₂×D₄×D₄₇	C₂³	1	2	yes	—
153	C₂²×C₄×D₄₇	—	2	1	no	—
154	C₂²×C₄×D₄₇	—	2	2	no	—
155	#13094056	C₂×C₄	1	16	yes	complemented
156	#13094054	C₂×C₄	1	8	yes	complemented
157	#13094049	C₂×C₄	1	8	yes	complemented
158	#13094048	C₂×C₄	1	16	yes	complemented
159	#13094045	C₂×C₄	1	16	yes	complemented
160	C₂×#10625337	C₂³	1	2	yes	—
161	C₂×#10625325	C₂×C₄	1	8	yes	complemented
162	C₂×#10625325	C₂³	1	2	yes	—
163	C₂×#10625325	C₂³	1	2	yes	—
164	C₂×#10625335	C₂³	1	2	yes	—
165	C₂×#10625336	C₂³	1	2	yes	—
166	SD₁₆×D₄₇	C₂×C₄	1	16	yes	complemented
167	C₂×#10625334	C₂³	1	2	yes	—
168	#13094030	—	2	4	no	—
169	#13094030	C₂×C₄	1	8	yes	complemented
170	C₂×#10625329	C₂³	1	1	yes	characteristic
171	C₂×#10625329	C₂³	1	1	yes	characteristic
172	C₂×#10625324	C₂³	1	2	yes	—
173	C₂×#10625324	C₂³	1	2	yes	—
174	C₂×C₈×D₄₇	C₂³	1	2	yes	—
175	C₂×C₈×D₄₇	C₂³	1	2	yes	—
176	Q₈×Dic₄₇	C₂³	1	2	yes	—
177	Q₈×Dic₄₇	C₂³	1	2	yes	—
178	C₄×Dic₉₄	—	2	1	no	—
179	C₄×Dic₉₄	—	2	1	no	—
180	C₄×Dic₉₄	—	2	1	no	—
181	C₄×Dic₉₄	—	2	1	no	—
182	C₄×Dic₉₄	—	2	1	no	—
183	C₄×Dic₉₄	—	2	1	no	—
184	C₄×Dic₉₄	—	2	2	no	—
185	C₄×Dic₉₄	—	2	2	no	—
186	C₄×Dic₉₄	D₄	1	1	yes	characteristic
187	C₄×Dic₉₄	D₄	1	1	yes	characteristic
188	C₄×Dic₉₄	C₂³	1	2	yes	—
189	C₄×Dic₉₄	C₂³	1	2	yes	—
190	#13093989	—	2	2	no	—
191	#13093989	—	2	2	no	—
192	#13093989	C₂³	1	2	yes	—
193	#13093989	C₂³	1	2	yes	—
194	C₄×D₁₈₈	—	2	1	no	—
195	C₄×D₁₈₈	—	2	1	no	—
196	C₄×D₁₈₈	—	2	2	no	—
197	C₄×D₁₈₈	—	2	1	no	—
198	C₄×D₁₈₈	—	2	1	no	—
199	C₄×D₁₈₈	—	2	2	no	—
200	C₄×D₁₈₈	—	2	1	no	—
201	C₄×D₁₈₈	—	2	1	no	—
202	C₄×D₁₈₈	D₄	1	1	yes	characteristic
203	C₄×D₁₈₈	D₄	1	1	yes	characteristic
204	C₄×D₁₈₈	C₂³	1	2	yes	—
205	C₄×D₁₈₈	C₂³	1	2	yes	—
206	D₄×Dic₄₇	—	2	2	no	—
207	D₄×Dic₄₇	—	2	2	no	—
208	D₄×Dic₄₇	C₂³	1	2	yes	—
209	D₄×Dic₄₇	C₂³	1	2	yes	—
210	#13093986	—	2	2	no	—
211	#13093986	—	2	2	no	—
212	#13093986	C₂³	1	2	yes	—
213	#13093986	C₂³	1	2	yes	—
214	C₄×C₂²⋊D₄₇	—	2	2	no	—
215	C₄×C₂²⋊D₄₇	—	2	2	no	—
216	C₄×C₂²⋊D₄₇	—	2	2	no	—
217	C₄×C₂²⋊D₄₇	—	2	2	no	—
218	C₄×C₂²⋊D₄₇	D₄	1	2	yes	—
219	C₄×C₂²⋊D₄₇	D₄	1	2	yes	—
220	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
221	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
222	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
223	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
224	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
225	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
226	#13093983	—	2	1	no	—
227	#13093983	—	2	1	no	—
228	#13093983	C₂³	1	1	yes	characteristic
229	#13093982	—	2	2	no	—
230	#13093982	—	2	2	no	—
231	#13093982	C₂³	1	2	yes	—
232	#13093982	C₂³	1	2	yes	—
233	#13093981	—	2	2	no	—
234	#13093981	—	2	2	no	—
235	#13093981	C₂³	1	2	yes	—
236	#13093980	—	2	2	no	—
237	#13093980	—	2	2	no	—
238	#13093980	—	2	2	no	—
239	C₂×C₄⋊Dic₄₇	—	2	1	no	—
240	C₂×C₄⋊Dic₄₇	—	2	1	no	—
241	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
243	C₂×Dic₄₇⋊C₄	—	2	1	no	—
244	C₂×Dic₄₇⋊C₄	—	2	2	no	—
245	C₄⋊C₄×D₄₇	—	2	2	no	—
246	C₄⋊C₄×D₄₇	—	2	2	no	—
247	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
248	C₄⋊C₄×D₄₇	C₂³	1	2	yes	—
249	C₂×(C₂×D₄₇)⋊C₄	—	2	1	no	—
250	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
251	C₂²⋊C₄×D₄₇	—	2	2	no	—
252	C₂²⋊C₄×D₄₇	—	2	2	no	—
253	C₂²⋊C₄×D₄₇	—	2	2	no	—
254	C₂×C₄×Dic₄₇	—	2	1	no	—
255	C₂×C₄×Dic₄₇	—	2	2	no	—
256	C₄²×D₄₇	—	2	2	no	—
257	C₄²×D₄₇	—	2	2	no	—
258	C₄²×D₄₇	C₂³	1	2	yes	—
259	#13093957	C₂³	1	2	yes	—
260	#13093957	C₂³	1	2	yes	—
261	#13093956	C₂³	1	2	yes	—
262	#13093956	C₂³	1	2	yes	—
263	#13093955	C₂³	1	2	yes	—
264	#13093955	C₂³	1	2	yes	—
265	#13093949	C₂³	1	2	yes	—
266	#13093949	C₂³	1	2	yes	—
267	#13093948	C₂³	1	2	yes	—
268	#13093948	C₂³	1	2	yes	—
269	#13093947	C₂³	1	2	yes	—
270	#13093947	C₂³	1	2	yes	—
271	#13093946	C₂³	1	2	yes	—
272	#13093946	C₂³	1	2	yes	—
273	#13093945	C₂³	1	2	yes	—
274	#13093945	C₂³	1	2	yes	—
275	#13093944	C₂³	1	2	yes	—
276	#13093944	C₂³	1	2	yes	—
277	#13093935	C₂³	1	2	yes	—
278	#13093934	C₂³	1	2	yes	—
279	#13093934	C₂³	1	2	yes	—
280	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
281	C₈×Dic₄₇	C₂³	1	2	yes	—
282	C₈×Dic₄₇	C₂³	1	2	yes	—
283	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
284	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
285	#135×C₄₇	C₂×C₄	1	8	yes	complemented
286	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
287	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
288	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
289	C₂×D₈×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	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
293	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
294	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
295	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
296	C₄×D₄×C₄₇	—	2	1	no	—
297	C₄×D₄×C₄₇	—	2	1	no	—
298	C₄×D₄×C₄₇	—	2	1	no	—
299	C₄×D₄×C₄₇	—	2	1	no	—
300	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
301	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
302	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
303	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
304	#117×C₄₇	—	2	1	no	—
305	#117×C₄₇	—	2	1	no	—
306	#117×C₄₇	C₂³	1	1	yes	characteristic
307	#117×C₄₇	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₄₇	—	2	1	no	—
309	C₂×C₄²×C₄₇	—	2	1	no	—
310	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
311	#107×C₄₇	C₂³	1	1	yes	characteristic
312	#107×C₄₇	C₂³	1	1	yes	characteristic
313	#106×C₄₇	C₂³	1	1	yes	characteristic
314	#106×C₄₇	C₂³	1	1	yes	characteristic
315	#103×C₄₇	C₂³	1	1	yes	characteristic
316	#103×C₄₇	C₂³	1	1	yes	characteristic
317	#103×C₄₇	C₂³	1	1	yes	characteristic
318	#103×C₄₇	C₂³	1	1	yes	characteristic
319	#102×C₄₇	C₂³	1	1	yes	characteristic
320	#102×C₄₇	C₂³	1	1	yes	characteristic
321	#102×C₄₇	C₂³	1	1	yes	characteristic
322	#102×C₄₇	C₂³	1	1	yes	characteristic
323	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
324	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
325	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
326	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
327	C₂³×D₄₇	—	2	1	no	—
328	C₂³×D₄₇	—	2	2	no	—
329	#41×C₄₇	—	2	2	no	—
330	#41×C₄₇	—	2	2	no	—
331	#41×C₄₇	C₂²×C₄	1	4	yes	—
332	#41×C₄₇	C₂²×C₄	1	4	yes	complemented
333	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₄₇	—	2	1	no	—
336	C₂×D₄×C₄₇	—	2	1	no	—
337	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
338	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₄₇	—	2	1	no	—
340	C₂²×C₄×C₄₇	—	2	1	no	—
341	C₂²×C₄×C₄₇	—	2	1	no	—
342	C₂²×C₄×C₄₇	—	2	1	no	—
343	C₂²×C₄×C₄₇	—	2	1	no	—
344	C₂²×C₄×C₄₇	—	2	1	no	—
345	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
346	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
348	C₂×C₂²⋊D₄₇	—	2	2	no	—
349	C₂×C₂²⋊D₄₇	—	2	2	no	—
350	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
351	C₂²×Dic₄₇	—	2	1	no	—
352	C₂²×Dic₄₇	—	2	2	no	—
353	C₂²×Dic₄₇	—	2	1	no	—
354	C₂²×Dic₄₇	—	2	1	no	—
355	C₂²×Dic₄₇	—	2	2	no	—
356	C₂²×Dic₄₇	—	2	2	no	—
357	#10625354	—	2	4	no	—
358	#10625354	C₂²×C₄	1	8	yes	—
359	Q₈×D₄₇	—	2	4	no	—
360	Q₈×D₄₇	C₂²×C₄	1	8	yes	complemented
361	#10625352	—	2	16	no	—
362	#10625352	—	2	4	no	—
363	#10625352	C₂²×C₄	1	8	yes	complemented
364	D₄×D₄₇	—	2	16	no	—
365	D₄×D₄₇	—	2	4	no	—
366	D₄×D₄₇	C₂²×C₄	1	8	yes	—
367	#10625350	—	2	8	no	—
368	#10625350	—	2	8	no	—
369	#10625350	C₂²×C₄	1	4	yes	—
370	#10625350	#41	1	4	yes	—
371	C₂×D₁₈₈	—	2	2	no	—
372	C₂×D₁₈₈	—	2	1	no	—
373	C₂×D₁₈₈	—	2	2	no	—
374	C₂×D₁₈₈	—	2	8	no	—
375	C₂×D₁₈₈	C₂²×C₄	1	4	yes	—
376	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
377	C₂×D₁₈₈	C₂⁴	1	2	yes	—
378	C₂×C₄×D₄₇	—	2	2	no	—
379	C₂×C₄×D₄₇	—	2	2	no	—
380	C₂×C₄×D₄₇	—	2	2	no	—
381	C₂×C₄×D₄₇	—	2	2	no	—
382	C₂×C₄×D₄₇	—	2	2	no	—
383	C₂×C₄×D₄₇	—	2	2	no	—
384	C₂×C₄×D₄₇	—	2	2	no	—
385	C₂×C₄×D₄₇	—	2	2	no	—
386	C₂×C₄×D₄₇	—	8	4	no	—
387	C₂×C₄×D₄₇	—	8	2	no	—
388	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
389	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
390	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
391	C₂×Dic₉₄	—	2	1	no	—
392	C₂×Dic₉₄	—	2	2	no	—
393	C₂×Dic₉₄	—	2	2	no	—
394	C₂×Dic₉₄	—	2	8	no	—
395	C₂×Dic₉₄	C₂²×C₄	1	4	yes	complemented
396	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
397	C₂×Dic₉₄	C₂⁴	1	2	yes	—
398	Q₁₆×C₄₇	C₂²×C₄	1	4	yes	complemented
399	SD₁₆×C₄₇	C₂²×C₄	1	4	yes	complemented
400	SD₁₆×C₄₇	C₂²×C₄	1	4	yes	complemented
401	D₈×C₄₇	C₂²×C₄	1	4	yes	complemented
402	C₂×C₈×C₄₇	—	2	2	no	—
403	C₂×C₈×C₄₇	C₂²×C₄	1	4	yes	complemented
404	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
406	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
407	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₄₇	—	2	1	no	—
409	C₄⋊C₄×C₄₇	—	2	1	no	—
410	C₄⋊C₄×C₄₇	—	2	1	no	—
411	C₄⋊C₄×C₄₇	—	2	1	no	—
412	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
414	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
415	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
416	C₂²⋊C₄×C₄₇	—	2	1	no	—
417	C₂²⋊C₄×C₄₇	—	2	1	no	—
418	C₂²⋊C₄×C₄₇	—	2	1	no	—
419	C₂²⋊C₄×C₄₇	—	2	1	no	—
420	C₂²⋊C₄×C₄₇	—	2	1	no	—
421	C₂²⋊C₄×C₄₇	—	2	1	no	—
422	C₄²×C₄₇	—	2	1	no	—
423	C₄²×C₄₇	—	2	1	no	—
424	C₄²×C₄₇	—	2	1	no	—
425	C₄²×C₄₇	—	2	1	no	—
426	C₄²×C₄₇	—	2	1	no	—
427	C₄²×C₄₇	—	2	1	no	—
428	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
429	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
430	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
431	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
432	C₂²⋊Dic₄₇	—	2	2	no	—
433	C₂²⋊Dic₄₇	—	2	2	no	—
434	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
435	#10625337	C₂²×C₄	1	8	yes	complemented
436	#10625336	C₂²×C₄	1	8	yes	complemented
437	#10625335	C₂²×C₄	1	8	yes	complemented
438	#10625334	C₂²×C₄	1	8	yes	complemented
439	(C₂×D₄₇)⋊C₄	—	2	2	no	—
440	(C₂×D₄₇)⋊C₄	—	2	2	no	—
441	(C₂×D₄₇)⋊C₄	—	2	2	no	—
442	(C₂×D₄₇)⋊C₄	—	2	2	no	—
443	(C₂×D₄₇)⋊C₄	—	2	2	no	—
444	(C₂×D₄₇)⋊C₄	—	2	2	no	—
445	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
446	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
447	C₄⋊Dic₄₇	—	2	1	no	—
448	C₄⋊Dic₄₇	—	2	1	no	—
449	C₄⋊Dic₄₇	—	2	2	no	—
450	C₄⋊Dic₄₇	—	2	2	no	—
451	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
452	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
453	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
454	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
455	Dic₄₇⋊C₄	—	2	2	no	—
456	Dic₄₇⋊C₄	—	2	2	no	—
457	Dic₄₇⋊C₄	—	2	2	no	—
458	Dic₄₇⋊C₄	—	2	2	no	—
459	Dic₄₇⋊C₄	—	2	2	no	—
460	Dic₄₇⋊C₄	—	2	2	no	—
461	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
462	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
463	C₄×Dic₄₇	—	2	2	no	—
464	C₄×Dic₄₇	—	2	2	no	—
465	C₄×Dic₄₇	—	2	2	no	—
466	C₄×Dic₄₇	—	2	2	no	—
467	C₄×Dic₄₇	—	2	2	no	—
468	C₄×Dic₄₇	—	2	2	no	—
469	C₄×Dic₄₇	—	2	2	no	—
470	C₄×Dic₄₇	—	2	2	no	—
471	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
472	C₄×Dic₄₇	C₂×D₄	1	2	yes	—
473	C₄×Dic₄₇	C₂⁴	1	2	yes	—
474	#10625329	—	2	2	no	—
475	#10625329	C₂²×C₄	1	4	yes	complemented
476	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
477	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
478	#10625325	C₂²×C₄	1	8	yes	complemented
479	#10625325	C₂²×C₄	1	8	yes	complemented
480	#10625324	—	2	4	no	—
481	#10625324	C₂²×C₄	1	8	yes	complemented
482	C₈×D₄₇	—	2	4	no	—
483	C₈×D₄₇	C₂²×C₄	1	8	yes	complemented
484	C₂³×C₄₇	—	2	1	no	—
485	C₂³×C₄₇	—	2	1	no	—
486	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
487	C₂²×D₄₇	—	2	2	no	—
488	C₂²×D₄₇	—	2	4	no	—
489	C₂²×D₄₇	—	2	8	no	—
490	C₂²×D₄₇	—	8	2	no	—
491	C₂²×D₄₇	—	8	2	no	—
492	C₂²×D₄₇	—	8	1	no	—
493	C₂²×D₄₇	—	8	1	no	—
494	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
495	Q₈×C₄₇	—	2	1	no	—
496	Q₈×C₄₇	—	2	1	no	—
497	Q₈×C₄₇	C₂³×C₄	1	2	yes	—
498	Q₈×C₄₇	C₂³×C₄	1	2	yes	—
499	D₄×C₄₇	—	2	4	no	—
500	D₄×C₄₇	—	2	4	no	—
501	D₄×C₄₇	—	2	1	no	—
502	D₄×C₄₇	—	2	1	no	—
503	D₄×C₄₇	C₂³×C₄	1	2	yes	—
504	D₄×C₄₇	C₂³×C₄	1	2	yes	—
505	C₂×C₄×C₄₇	—	2	1	no	—
506	C₂×C₄×C₄₇	—	2	1	no	—
507	C₂×C₄×C₄₇	—	2	4	no	—
508	C₂×C₄×C₄₇	—	2	4	no	—
509	C₂×C₄×C₄₇	—	2	2	no	—
510	C₂×C₄×C₄₇	—	2	1	no	—
511	C₂×C₄×C₄₇	—	2	1	no	—
512	C₂×C₄×C₄₇	—	2	1	no	—
513	C₂×C₄×C₄₇	—	2	1	no	—
514	C₂×C₄×C₄₇	—	4	1	no	—
515	C₂×C₄×C₄₇	—	4	2	no	—
516	C₂×C₄×C₄₇	—	4	2	no	—
517	C₂×C₄×C₄₇	—	8	1	no	—
518	C₂×C₄×C₄₇	—	8	1	no	—
519	C₂×C₄×C₄₇	C₂³×C₄	1	2	yes	—
520	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
522	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
526	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
527	C₂²⋊D₄₇	—	2	8	no	—
528	C₂²⋊D₄₇	—	2	8	no	—
529	C₂²⋊D₄₇	C₄×D₄	1	8	yes	—
530	C₂×Dic₄₇	—	2	4	no	—
531	C₂×Dic₄₇	—	2	2	no	—
532	C₂×Dic₄₇	—	2	8	no	—
533	C₂×Dic₄₇	—	2	2	no	—
534	C₂×Dic₄₇	—	2	2	no	—
535	C₂×Dic₄₇	—	8	2	no	—
536	C₂×Dic₄₇	—	8	2	no	—
537	C₂×Dic₄₇	—	8	1	no	—
538	C₂×Dic₄₇	—	8	1	no	—
539	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
540	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
541	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
542	D₁₈₈	—	2	8	no	—
543	D₁₈₈	—	2	4	no	—
544	D₁₈₈	—	2	2	no	—
545	D₁₈₈	C₄×D₄	1	4	yes	—
546	D₁₈₈	C₂³×C₄	1	4	yes	—
547	C₄×D₄₇	—	2	8	no	—
548	C₄×D₄₇	—	2	4	no	—
549	C₄×D₄₇	—	2	8	no	—
550	C₄×D₄₇	—	4	2	no	—
551	C₄×D₄₇	—	4	4	no	—
552	C₄×D₄₇	—	8	2	no	—
553	C₄×D₄₇	—	8	2	no	—
554	C₄×D₄₇	—	8	2	no	—
555	C₄×D₄₇	—	8	2	no	—
556	C₄×D₄₇	—	8	2	no	—
557	C₄×D₄₇	C₂³×C₄	1	4	yes	—
558	C₄×D₄₇	C₂×#41	1	4	yes	—
559	Dic₉₄	—	2	4	no	—
560	Dic₉₄	—	2	2	no	—
561	Dic₉₄	—	2	8	no	—
562	Dic₉₄	C₄×D₄	1	4	yes	—
563	Dic₉₄	C₂³×C₄	1	4	yes	—
564	C₈×C₄₇	—	2	1	no	—
565	C₈×C₄₇	—	2	1	no	—
566	C₈×C₄₇	C₂³×C₄	1	2	yes	—
567	C₈×C₄₇	C₂³×C₄	1	2	yes	—
568	C₄₇⋊C₈	—	2	2	no	—
569	C₄₇⋊C₈	C₂³×C₄	1	4	yes	—
570	C₄×#577	—	47	1	no	maximal, Sylow
571	C₂²×C₄₇	—	2	1	no	—
572	C₂²×C₄₇	—	2	1	no	—
573	C₂²×C₄₇	—	2	2	no	—
574	C₂²×C₄₇	—	2	2	no	—
575	C₂²×C₄₇	—	4	1	no	—
576	C₂²×C₄₇	—	4	1	no	—
577	C₂²×C₄₇	—	4	1	no	—
578	C₂²×C₄₇	—	4	1	no	—
579	C₂²×C₄₇	C₂×C₄×D₄	1	2	yes	—
580	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
581	C₂×D₄₇	—	2	2	no	—
582	C₂×D₄₇	—	2	2	no	—
583	C₂×D₄₇	—	2	4	no	—
584	C₂×D₄₇	—	4	2	no	—
585	C₂×D₄₇	—	4	2	no	—
586	C₂×D₄₇	—	8	8	no	—
587	C₂×D₄₇	—	8	4	no	—
588	C₂×D₄₇	C₂×C₄×D₄	1	4	yes	—
589	C₄×C₄₇	—	2	1	no	—
590	C₄×C₄₇	—	2	1	no	—
591	C₄×C₄₇	—	2	2	no	—
592	C₄×C₄₇	—	2	2	no	—
593	C₄×C₄₇	—	2	1	no	—
594	C₄×C₄₇	—	4	1	no	—
595	C₄×C₄₇	—	4	1	no	—
596	C₄×C₄₇	—	4	1	no	—
597	C₄×C₄₇	—	4	1	no	—
598	C₄×C₄₇	C₂×C₄×D₄	1	2	yes	—
599	C₄×C₄₇	#577	1	2	yes	complemented
600	C₄×C₄₇	C₂⁴×C₄	1	1	yes	characteristic
601	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
602	Dic₄₇	—	2	2	no	—
603	Dic₄₇	—	2	4	no	—
604	Dic₄₇	—	2	2	no	—
605	Dic₄₇	—	4	2	no	—
606	Dic₄₇	—	4	2	no	—
607	Dic₄₇	C₂×C₄×D₄	1	4	yes	—
608	C₂×#577	—	47	1	no	—
609	C₄×2₋¹⁺⁴	—	47	1	no	—
610	C₄×H(5,𝔽₂)	—	47	1	no	—
611	#2952	—	47	2	no	—
612	#2952	—	47	1	no	—
613	#2949	—	47	2	no	—
614	#2949	—	47	1	no	—
615	#2947	—	47	2	no	—
616	#2947	—	47	1	no	—
617	#2946	—	47	2	no	—
618	#2946	—	47	1	no	—
619	C₄×#137	—	47	2	no	—
620	C₄×#137	—	47	1	no	—
621	C₄×AGL(1,ℤ/8)	—	47	2	no	—
622	C₄×AGL(1,ℤ/8)	—	47	1	no	—
623	C₄×#135	—	47	2	no	—
624	C₄×#135	D₄₇	1	1	yes	characteristic, complemented
625	C₂×C₄×SD₁₆	—	47	2	no	—
626	C₂×C₄×SD₁₆	—	47	1	no	—
627	#2912	—	47	1	no	—
628	#2898	—	47	1	no	—
629	#2897	—	47	1	no	—
630	C₄×#131	—	47	1	no	—
631	C₂×C₄₇	—	2	2	no	—
632	C₂×C₄₇	—	4	2	no	—
633	C₂×C₄₇	—	4	2	no	—
634	C₂×C₄₇	C₂²×C₄×D₄	1	1	yes	characteristic
635	C₂×C₄₇	C₂×#577	1	1	yes	characteristic
636	C₂×C₄₇	#3584	1	1	yes	characteristic
637	D₄₇	—	2	4	no	—
638	D₄₇	—	4	4	no	—
639	C₂×2₋¹⁺⁴	—	47	1	no	—
640	C₂×H(5,𝔽₂)	—	47	1	no	—
641	#577	—	47	16	no	—
642	C₂×#137	—	47	1	no	—
643	C₂×#137	—	47	2	no	—
644	C₂×AGL(1,ℤ/8)	—	47	1	no	—
645	C₂×AGL(1,ℤ/8)	—	47	2	no	—
646	C₂×#135	—	47	2	no	—
647	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
648	C₂²×SD₁₆	—	47	2	no	—
649	C₂²×SD₁₆	—	47	1	no	—
650	C₂×#131	—	47	1	no	—
651	C₂×#131	—	47	1	no	—
652	#520	—	47	1	no	—
653	#520	—	47	1	no	—
654	#520	—	47	1	no	—
655	#520	—	47	1	no	—
656	#520	—	47	2	no	—
657	#520	—	47	2	no	—
658	#520	—	94	1	no	—
659	#520	—	94	1	no	—
660	#520	—	94	2	no	—
661	#519	—	47	2	no	—
662	#519	—	47	1	no	—
663	#519	—	94	1	no	—
664	#518	—	47	2	no	—
665	#518	—	47	1	no	—
666	#518	—	94	1	no	—
667	#518	—	94	2	no	—
668	C₄×#41	—	47	1	no	—
669	C₄×#41	—	47	2	no	—
670	C₄×#41	—	47	2	no	—
671	C₄×#41	—	94	1	no	—
672	C₄×#41	—	94	1	no	—
673	C₄×#41	—	94	2	no	—
674	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
675	C₄×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
676	C₂×C₄×Q₈	—	47	2	no	—
677	C₂×C₄×Q₈	—	47	1	no	—
678	C₂×C₄×Q₈	—	94	1	no	—
679	C₂×C₄×D₄	—	47	2	no	—
680	C₂×C₄×D₄	—	47	1	no	—
681	C₂×C₄×D₄	—	94	1	no	—
682	C₂×C₄×D₄	—	94	2	no	—
683	#442	—	47	2	no	—
684	#442	—	47	2	no	—
685	#442	—	47	2	no	—
686	#441	—	47	2	no	—
687	#441	—	47	2	no	—
688	#441	—	47	2	no	—
689	#440	—	47	2	no	—
690	#440	—	47	2	no	—
691	#440	—	47	2	no	—
692	#440	—	47	2	no	—
693	#440	—	47	2	no	—
694	#440	—	47	2	no	—
695	C₄×Q₁₆	—	47	2	no	—
696	C₄×Q₁₆	—	47	2	no	—
697	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
698	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
699	C₄×SD₁₆	—	47	2	no	—
700	C₄×SD₁₆	—	47	2	no	—
701	C₄×SD₁₆	—	47	2	no	—
702	C₄×SD₁₆	—	47	2	no	—
703	C₄×SD₁₆	—	47	2	no	—
704	C₄×SD₁₆	—	47	2	no	—
705	C₄×SD₁₆	—	47	2	no	—
706	C₄×SD₁₆	—	47	2	no	—
707	C₄×SD₁₆	—	47	2	no	—
708	C₄×SD₁₆	—	47	2	no	—
709	C₄×SD₁₆	—	47	2	no	—
710	C₄×SD₁₆	—	47	2	no	—
711	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
712	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
713	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
714	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
715	C₄×D₈	—	47	2	no	—
716	C₄×D₈	—	47	2	no	—
717	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
718	C₄×D₈	C₂×D₄₇	1	1	yes	characteristic, complemented
719	#428	—	47	1	no	—
720	#428	—	47	1	no	—
721	#428	—	47	2	no	—
722	#428	—	47	2	no	—
723	#427	—	47	2	no	—
724	#427	C₂×D₄₇	1	1	yes	characteristic, complemented
725	C₂×#106	—	47	1	no	—
726	C₂×#106	—	47	2	no	—
727	#419	—	47	1	no	—
728	#419	—	47	2	no	—
729	#418	—	47	1	no	—
730	#418	—	47	2	no	—
731	#417	—	47	1	no	—
732	#417	—	47	1	no	—
733	#417	—	47	2	no	—
734	#417	—	47	2	no	—
735	#416	—	47	2	no	—
736	#416	—	47	2	no	—
737	#416	C₂×D₄₇	1	1	yes	characteristic
738	#416	C₂×D₄₇	1	1	yes	characteristic, complemented
739	C₂×#103	—	47	1	no	—
740	C₂×#103	—	47	2	no	—
741	C₂×#102	—	47	1	no	—
742	C₂×#102	—	47	2	no	—
743	#405	—	47	1	no	—
744	#405	—	47	1	no	—
745	#405	—	47	2	no	—
746	#405	—	47	2	no	—
747	C₄×M₁₆	—	47	1	no	—
748	C₄×M₁₆	—	47	2	no	—
749	C₂×C₄×C₈	—	47	2	no	—
750	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic, complemented
751	C₄₇	C₄×#577	1	1	yes	characteristic, complemented, Sylow
752	2₋¹⁺⁴	—	47	8	no	—
753	2₋¹⁺⁴	—	94	4	no	—
754	H(5,𝔽₂)	—	47	8	no	—
755	H(5,𝔽₂)	—	94	4	no	—
756	C₂×#41	—	47	1	no	—
757	C₂×#41	—	47	2	no	—
758	C₂×#41	—	47	2	no	—
759	C₂×#41	—	94	1	no	—
760	C₂×#41	—	94	1	no	—
761	C₂×#41	—	94	2	no	—
762	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
763	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
764	C₂²×Q₈	—	47	2	no	—
765	C₂²×Q₈	—	47	1	no	—
766	C₂²×Q₈	—	94	1	no	—
767	C₂²×D₄	—	47	2	no	—
768	C₂²×D₄	—	47	1	no	—
769	C₂²×D₄	—	94	1	no	—
770	C₂²×D₄	—	94	2	no	—
771	C₂³×C₄	—	94	2	no	—
772	C₂³×C₄	—	94	1	no	—
773	#137	—	47	8	no	—
774	#137	—	47	16	no	—
775	AGL(1,ℤ/8)	—	47	8	no	—
776	AGL(1,ℤ/8)	—	47	16	no	—
777	#135	—	47	16	no	—
778	#135	C₄×D₄₇	1	8	yes	complemented
779	C₂×Q₁₆	—	47	2	no	—
780	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
781	C₂×SD₁₆	—	47	2	no	—
782	C₂×SD₁₆	—	47	2	no	—
783	C₂×SD₁₆	—	47	16	no	—
784	C₂×SD₁₆	—	47	8	no	—
785	C₂×SD₁₆	—	47	2	no	—
786	C₂×SD₁₆	—	47	2	no	—
787	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
788	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
789	C₂×D₈	—	47	2	no	—
790	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
791	#131	—	47	8	no	—
792	#131	—	94	4	no	—
793	C₂×M₁₆	—	47	1	no	—
794	C₂×M₁₆	—	47	1	no	—
795	C₂×M₁₆	—	47	2	no	—
796	C₂×M₁₆	—	47	2	no	—
797	C₂²×C₈	—	47	2	no	—
798	C₂²×C₈	—	47	2	no	—
799	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
800	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
801	C₄×Q₈	—	47	1	no	—
802	C₄×Q₈	—	47	1	no	—
803	C₄×Q₈	—	47	2	no	—
804	C₄×Q₈	—	47	2	no	—
805	C₄×Q₈	—	47	2	no	—
806	C₄×Q₈	—	47	2	no	—
807	C₄×Q₈	—	47	2	no	—
808	C₄×Q₈	—	47	2	no	—
809	C₄×Q₈	—	94	2	no	—
810	C₄×Q₈	—	94	1	no	—
811	C₄×Q₈	—	94	2	no	—
812	C₄×Q₈	—	94	1	no	—
813	C₄×Q₈	—	94	1	no	—
814	C₄×Q₈	—	94	1	no	—
815	C₄×Q₈	—	94	2	no	—
816	C₄×Q₈	—	94	2	no	—
817	C₄×Q₈	—	94	1	no	—
818	C₄×Q₈	—	94	1	no	—
819	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
820	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
821	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
822	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	47	2	no	—
828	C₄×D₄	—	47	2	no	—
829	C₄×D₄	—	47	2	no	—
830	C₄×D₄	—	47	2	no	—
831	C₄×D₄	—	47	2	no	—
832	C₄×D₄	—	47	2	no	—
833	C₄×D₄	—	47	1	no	—
834	C₄×D₄	—	47	1	no	—
835	C₄×D₄	—	47	2	no	—
836	C₄×D₄	—	47	2	no	—
837	C₄×D₄	—	94	2	no	—
838	C₄×D₄	—	94	1	no	—
839	C₄×D₄	—	94	1	no	—
840	C₄×D₄	—	94	2	no	—
841	C₄×D₄	—	94	1	no	—
842	C₄×D₄	—	94	1	no	—
843	C₄×D₄	—	94	2	no	—
844	C₄×D₄	—	94	2	no	—
845	C₄×D₄	—	94	2	no	—
846	C₄×D₄	—	94	2	no	—
847	C₄×D₄	—	94	2	no	—
848	C₄×D₄	—	94	2	no	—
849	C₄×D₄	—	94	2	no	—
850	C₄×D₄	—	94	2	no	—
851	C₄×D₄	—	94	2	no	—
852	C₄×D₄	—	94	2	no	—
853	C₄×D₄	—	94	2	no	—
854	C₄×D₄	—	94	2	no	—
855	C₄×D₄	—	94	2	no	—
856	C₄×D₄	—	94	2	no	—
857	C₄×D₄	—	94	1	no	—
858	C₄×D₄	—	94	1	no	—
859	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
860	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
861	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
862	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
863	#117	—	2	1	no	—
864	#117	—	2	1	no	—
865	#117	—	47	1	no	—
866	#117	—	47	2	no	—
867	#117	—	47	2	no	—
868	#117	—	47	2	no	—
869	#117	—	94	2	no	—
870	#117	—	94	2	no	—
871	#117	—	94	2	no	—
872	#117	—	94	2	no	—
873	#117	—	94	2	no	—
874	#117	—	94	2	no	—
875	#117	—	94	2	no	—
876	#117	—	94	1	no	—
877	#117	—	94	1	no	—
878	#117	C₂²×D₄₇	1	1	yes	characteristic
879	#117	C₂²×D₄₇	1	1	yes	characteristic
880	C₂×C₄⋊C₄	—	47	1	no	—
881	C₂×C₄⋊C₄	—	47	1	no	—
882	C₂×C₄⋊C₄	—	47	2	no	—
883	C₂×C₄⋊C₄	—	47	2	no	—
884	C₂×C₄⋊C₄	—	94	2	no	—
885	C₂×C₄⋊C₄	—	94	2	no	—
886	C₂×C₄⋊C₄	—	94	1	no	—
887	C₂×C₄⋊C₄	—	94	2	no	—
888	C₂×C₄⋊C₄	—	94	1	no	—
889	C₂×C₄⋊C₄	—	94	1	no	—
890	C₂×C₂²⋊C₄	—	94	2	no	—
891	C₂×C₂²⋊C₄	—	94	2	no	—
892	C₂×C₂²⋊C₄	—	94	2	no	—
893	C₂×C₂²⋊C₄	—	94	2	no	—
894	C₂×C₂²⋊C₄	—	94	1	no	—
895	C₂×C₄²	—	2	1	no	—
896	C₂×C₄²	—	2	1	no	—
897	C₂×C₄²	—	47	2	no	—
898	C₂×C₄²	—	94	2	no	—
899	C₂×C₄²	—	94	2	no	—
900	C₂×C₄²	—	94	2	no	—
901	C₂×C₄²	—	94	1	no	—
902	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
903	#107	—	47	2	no	—
904	#107	—	47	2	no	—
905	#107	C₂²×D₄₇	1	1	yes	characteristic
906	#107	C₂²×D₄₇	1	1	yes	characteristic
907	#106	—	47	2	no	—
908	#106	—	47	2	no	—
909	#106	—	47	2	no	—
910	#106	—	47	2	no	—
911	#106	C₂²×D₄₇	1	1	yes	characteristic
912	#106	C₂²×D₄₇	1	1	yes	characteristic
913	#103	—	47	2	no	—
914	#103	—	47	2	no	—
915	#103	—	47	2	no	—
916	#103	—	47	2	no	—
917	#103	—	47	2	no	—
918	#103	—	47	2	no	—
919	#103	C₂²×D₄₇	1	1	yes	characteristic
920	#103	C₂²×D₄₇	1	1	yes	characteristic
921	#103	C₂²×D₄₇	1	1	yes	characteristic
922	#103	C₂²×D₄₇	1	1	yes	characteristic
923	#102	—	47	2	no	—
924	#102	—	47	2	no	—
925	#102	—	47	2	no	—
926	#102	—	47	2	no	—
927	#102	—	47	2	no	—
928	#102	—	47	2	no	—
929	#102	C₂²×D₄₇	1	1	yes	characteristic
930	#102	C₂²×D₄₇	1	1	yes	characteristic
931	#102	C₂²×D₄₇	1	1	yes	characteristic
932	#102	C₂²×D₄₇	1	1	yes	characteristic
933	#97	—	47	2	no	—
934	#97	—	47	2	no	—
935	#97	—	47	2	no	—
936	C₄×C₈	—	47	2	no	—
937	C₄×C₈	—	47	2	no	—
938	C₄×C₈	—	47	2	no	—
939	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
940	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
941	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
942	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
943	C₂⁴	—	94	2	no	—
944	C₂⁴	—	94	1	no	—
945	#41	—	2	2	no	—
946	#41	—	2	2	no	—
947	#41	—	47	4	no	—
948	#41	—	47	4	no	—
949	#41	—	47	8	no	—
950	#41	—	47	8	no	—
951	#41	—	94	8	no	—
952	#41	—	94	8	no	—
953	#41	—	94	4	no	—
954	#41	—	94	4	no	—
955	#41	—	94	16	no	—
956	#41	C₂×C₄×D₄₇	1	4	yes	—
957	#41	C₂×C₄×D₄₇	1	4	yes	complemented
958	C₂×Q₈	—	47	1	no	—
959	C₂×Q₈	—	47	8	no	—
960	C₂×Q₈	—	47	4	no	—
961	C₂×Q₈	—	47	2	no	—
962	C₂×Q₈	—	94	2	no	—
963	C₂×Q₈	—	94	8	no	—
964	C₂×Q₈	—	94	4	no	—
965	C₂×Q₈	—	94	1	no	—
966	C₂×Q₈	—	94	2	no	—
967	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
968	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
969	C₂×D₄	—	2	1	no	—
970	C₂×D₄	—	2	1	no	—
971	C₂×D₄	—	47	2	no	—
972	C₂×D₄	—	47	8	no	—
973	C₂×D₄	—	47	4	no	—
974	C₂×D₄	—	47	1	no	—
975	C₂×D₄	—	47	2	no	—
976	C₂×D₄	—	94	8	no	—
977	C₂×D₄	—	94	2	no	—
978	C₂×D₄	—	94	4	no	—
979	C₂×D₄	—	94	2	no	—
980	C₂×D₄	—	94	16	no	—
981	C₂×D₄	—	94	2	no	—
982	C₂×D₄	—	94	1	no	—
983	C₂×D₄	—	94	2	no	—
984	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
985	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	1	no	—
991	C₂²×C₄	—	2	1	no	—
992	C₂²×C₄	—	47	2	no	—
993	C₂²×C₄	—	47	2	no	—
994	C₂²×C₄	—	47	2	no	—
995	C₂²×C₄	—	94	2	no	—
996	C₂²×C₄	—	94	2	no	—
997	C₂²×C₄	—	94	2	no	—
998	C₂²×C₄	—	94	2	no	—
999	C₂²×C₄	—	94	2	no	—
1000	C₂²×C₄	—	94	2	no	—
1001	C₂²×C₄	—	94	2	no	—
1002	C₂²×C₄	—	94	2	no	—
1003	C₂²×C₄	—	94	2	no	—
1004	C₂²×C₄	—	94	1	no	—
1005	C₂²×C₄	—	94	1	no	—
1006	C₂²×C₄	—	94	1	no	—
1007	C₂²×C₄	—	94	2	no	—
1008	C₂²×C₄	—	94	2	no	—
1009	C₂²×C₄	—	376	2	no	—
1010	C₂²×C₄	—	376	4	no	—
1011	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1012	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1014	Q₁₆	—	47	8	no	—
1015	Q₁₆	C₂×C₄×D₄₇	1	4	yes	complemented
1016	SD₁₆	—	47	8	no	—
1017	SD₁₆	—	47	8	no	—
1018	SD₁₆	—	47	8	no	—
1019	SD₁₆	—	47	8	no	—
1020	SD₁₆	C₂×C₄×D₄₇	1	4	yes	complemented
1021	SD₁₆	C₂×C₄×D₄₇	1	4	yes	complemented
1022	D₈	—	47	8	no	—
1023	D₈	C₂×C₄×D₄₇	1	4	yes	complemented
1024	M₁₆	—	47	4	no	—
1025	M₁₆	—	47	8	no	—
1026	M₁₆	—	94	4	no	—
1027	M₁₆	—	94	2	no	—
1028	C₂×C₈	—	2	2	no	—
1029	C₂×C₈	—	47	2	no	—
1030	C₂×C₈	—	47	8	no	—
1031	C₂×C₈	—	47	2	no	—
1032	C₂×C₈	—	94	4	no	—
1033	C₂×C₈	C₂×C₄×D₄₇	1	4	yes	complemented
1034	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1035	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1036	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1037	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	47	2	no	—
1043	C₄⋊C₄	—	47	2	no	—
1044	C₄⋊C₄	—	47	1	no	—
1045	C₄⋊C₄	—	47	1	no	—
1046	C₄⋊C₄	—	47	2	no	—
1047	C₄⋊C₄	—	47	2	no	—
1048	C₄⋊C₄	—	94	2	no	—
1049	C₄⋊C₄	—	94	2	no	—
1050	C₄⋊C₄	—	94	2	no	—
1051	C₄⋊C₄	—	94	2	no	—
1052	C₄⋊C₄	—	94	2	no	—
1053	C₄⋊C₄	—	94	2	no	—
1054	C₄⋊C₄	—	94	2	no	—
1055	C₄⋊C₄	—	94	2	no	—
1056	C₄⋊C₄	—	94	1	no	—
1057	C₄⋊C₄	—	94	1	no	—
1058	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1059	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1060	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1061	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	1	no	—
1067	C₂²⋊C₄	—	2	1	no	—
1068	C₂²⋊C₄	—	47	2	no	—
1069	C₂²⋊C₄	—	47	2	no	—
1070	C₂²⋊C₄	—	47	2	no	—
1071	C₂²⋊C₄	—	94	2	no	—
1072	C₂²⋊C₄	—	94	2	no	—
1073	C₂²⋊C₄	—	94	2	no	—
1074	C₂²⋊C₄	—	94	2	no	—
1075	C₂²⋊C₄	—	94	2	no	—
1076	C₂²⋊C₄	—	94	2	no	—
1077	C₂²⋊C₄	—	94	2	no	—
1078	C₂²⋊C₄	—	94	2	no	—
1079	C₄²	—	2	1	no	—
1080	C₄²	—	2	1	no	—
1081	C₄²	—	2	1	no	—
1082	C₄²	—	2	1	no	—
1083	C₄²	—	2	1	no	—
1084	C₄²	—	2	1	no	—
1085	C₄²	—	47	2	no	—
1086	C₄²	—	47	2	no	—
1087	C₄²	—	47	2	no	—
1088	C₄²	—	94	2	no	—
1089	C₄²	—	94	2	no	—
1090	C₄²	—	94	2	no	—
1091	C₄²	—	94	2	no	—
1092	C₄²	—	94	2	no	—
1093	C₄²	—	94	2	no	—
1094	C₄²	—	94	2	no	—
1095	C₄²	—	94	2	no	—
1096	C₄²	D₄×D₄₇	1	1	yes	characteristic
1097	C₄²	D₄×D₄₇	1	1	yes	characteristic
1098	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1099	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	47	2	no	—
1103	C₂³	—	94	8	no	—
1104	C₂³	—	94	4	no	—
1105	C₂³	—	94	2	no	—
1106	C₂³	—	376	1	no	—
1107	C₂³	—	376	1	no	—
1108	C₂³	—	376	2	no	—
1109	C₂³	—	376	2	no	—
1110	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1111	Q₈	—	2	1	no	—
1112	Q₈	—	2	1	no	—
1113	Q₈	—	47	4	no	—
1114	Q₈	—	47	4	no	—
1115	Q₈	—	94	8	no	—
1116	Q₈	—	94	4	no	—
1117	Q₈	—	94	2	no	—
1118	Q₈	C₂²×C₄×D₄₇	1	2	yes	—
1119	Q₈	C₂²×C₄×D₄₇	1	2	yes	—
1120	D₄	—	2	4	no	—
1121	D₄	—	2	4	no	—
1122	D₄	—	2	1	no	—
1123	D₄	—	2	1	no	—
1124	D₄	—	47	8	no	—
1125	D₄	—	47	4	no	—
1126	D₄	—	47	4	no	—
1127	D₄	—	94	8	no	—
1128	D₄	—	94	8	no	—
1129	D₄	—	94	8	no	—
1130	D₄	—	94	4	no	—
1131	D₄	—	94	2	no	—
1132	D₄	C₂²×C₄×D₄₇	1	2	yes	—
1133	D₄	C₂²×C₄×D₄₇	1	2	yes	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	4	no	—
1137	C₂×C₄	—	2	4	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	4	1	no	—
1144	C₂×C₄	—	4	2	no	—
1145	C₂×C₄	—	4	2	no	—
1146	C₂×C₄	—	8	1	no	—
1147	C₂×C₄	—	8	1	no	—
1148	C₂×C₄	—	47	2	no	—
1149	C₂×C₄	—	47	4	no	—
1150	C₂×C₄	—	47	4	no	—
1151	C₂×C₄	—	47	2	no	—
1152	C₂×C₄	—	47	2	no	—
1153	C₂×C₄	—	94	8	no	—
1154	C₂×C₄	—	94	8	no	—
1155	C₂×C₄	—	94	8	no	—
1156	C₂×C₄	—	94	4	no	—
1157	C₂×C₄	—	94	2	no	—
1158	C₂×C₄	—	94	4	no	—
1159	C₂×C₄	—	94	2	no	—
1160	C₂×C₄	—	94	2	no	—
1161	C₂×C₄	—	376	2	no	—
1162	C₂×C₄	—	376	2	no	—
1163	C₂×C₄	—	376	2	no	—
1164	C₂×C₄	—	376	2	no	—
1165	C₂×C₄	—	376	2	no	—
1166	C₂×C₄	—	376	2	no	—
1167	C₂×C₄	—	376	2	no	—
1168	C₂×C₄	—	376	1	no	—
1169	C₂×C₄	—	376	1	no	—
1170	C₂×C₄	—	188	2	no	—
1171	C₂×C₄	—	188	4	no	—
1172	C₂×C₄	C₂²×C₄×D₄₇	1	2	yes	—
1173	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1174	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1175	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1176	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1177	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1178	C₂×C₄	#41×D₄₇	1	2	yes	—
1179	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1180	C₈	—	2	1	no	—
1181	C₈	—	2	1	no	—
1182	C₈	—	47	4	no	—
1183	C₈	—	94	2	no	—
1184	C₈	C₂²×C₄×D₄₇	1	2	yes	—
1185	C₈	C₂²×C₄×D₄₇	1	2	yes	—
1186	C₂²	—	2	1	no	—
1187	C₂²	—	2	1	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	2	2	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	—	47	4	no	—
1195	C₂²	—	94	2	no	—
1196	C₂²	—	94	2	no	—
1197	C₂²	—	94	4	no	—
1198	C₂²	—	376	4	no	—
1199	C₂²	—	376	8	no	—
1200	C₂²	—	188	2	no	—
1201	C₂²	—	188	2	no	—
1202	C₂²	C₄×D₄×D₄₇	1	2	yes	—
1203	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1204	C₄	—	2	2	no	—
1205	C₄	—	2	2	no	—
1206	C₄	—	2	1	no	—
1207	C₄	—	2	1	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	4	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	47	4	no	—
1214	C₄	—	94	4	no	—
1215	C₄	—	94	2	no	—
1216	C₄	—	94	2	no	—
1217	C₄	—	188	2	no	—
1218	C₄	—	188	2	no	—
1219	C₄	C₄×D₄×D₄₇	1	2	yes	—
1220	C₄	#15689930	1	2	yes	direct product factor
1221	C₄	C₂³×C₄×D₄₇	1	1	yes	characteristic
1222	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1223	C₂	—	2	2	no	—
1224	C₂	—	4	2	no	—
1225	C₂	—	4	2	no	—
1226	C₂	—	94	4	no	—
1227	C₂	—	188	4	no	—
1228	C₂	C₂×C₄×D₄×D₄₇	1	1	yes	characteristic
1229	C₂	C₂×#15689930	1	1	yes	characteristic
1230	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₇
commutator	C₄×C₄₇	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄×#135×C₄₇	C₂
socle	C₂²×C₄₇	C₂³×D₄
prime radical	C₂×#15689930	C₂
cosocle	C₂×C₄×C₄₇	C₂⁵
hypercenter	C₄×#135	D₄₇
hypocenter	C₄₇	C₄×#577
LCS	G ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
2. C₄×#13094071	C₂	semidirect
3. C₄×#13094070	C₂	semidirect
4. #20252272	C₂	semidirect
5. #20252266	C₂	semidirect
6. #20252246	C₂	semidirect
7. #20252242	C₂	semidirect
8. #20252234	C₂	semidirect
9. #20252226	C₂	semidirect
10. #20252223	C₂	semidirect
11. #20252213	C₂	semidirect
12. C₄×#13094056	C₂	semidirect
13. C₄×#13094054	C₂	semidirect
14. C₄×#13094049	C₂	semidirect
15. C₄×#13094048	C₂	semidirect
16. C₄×#13094045	C₂	semidirect
17. C₂×C₄×#10625325	C₂	semidirect
18. C₄×SD₁₆×D₄₇	C₂	semidirect
19. #20251980	C₂	semidirect
20. #20251917	C₂	semidirect
21. #20251910	C₂	semidirect
22. C₄×#13094030	C₂	semidirect
23. C₄×#135×C₄₇	C₂	semidirect
26. #15689930	C₄	direct (N × H)
37. #15689606	C₂²	semidirect
44. #15689602	C₂²	semidirect
46. #15689600	C₂²	semidirect
47. #15689599	C₂²	semidirect
57. C₄×#10625352	C₂²	semidirect
59. C₂×C₄×Dic₉₄	C₂²	semidirect
60. C₄×Q₈×D₄₇	C₂²	semidirect
65. #15689235	C₂²	semidirect
66. #15689233	C₂²	semidirect
67. #15689232	C₂²	semidirect
68. #15689230	C₂²	semidirect
69. #15689228	C₂²	semidirect
70. #15689227	C₂²	semidirect
71. #15689226	C₂²	semidirect
72. #15689223	C₂²	semidirect
73. #15689222	C₂²	semidirect
74. #15689222	C₂²	semidirect
75. #15689221	C₂²	semidirect
76. #15689220	C₂²	semidirect
77. C₄×#10625337	C₂²	semidirect
78. #15689215	C₂²	semidirect
79. #15689214	C₂²	semidirect
80. C₄×#10625325	C₂²	semidirect
81. C₄×#10625325	C₂²	semidirect
82. C₄×#10625325	C₂²	semidirect
83. C₄×#10625325	C₂²	semidirect
84. SD₁₆×Dic₄₇	C₂²	semidirect
85. SD₁₆×Dic₄₇	C₂²	semidirect
86. C₄×#10625336	C₂²	semidirect
87. #15689210	C₂²	semidirect
88. #15689210	C₂²	semidirect
89. C₄×#10625335	C₂²	semidirect
90. #15689208	C₂²	semidirect
91. C₄×#10625334	C₂²	semidirect
92. #15689203	C₂²	semidirect
93. #15689166	C₂²	semidirect
94. #15689166	C₂²	semidirect
95. #15689164	C₂²	semidirect
96. #15689164	C₂²	semidirect
97. #15689158	C₂²	semidirect
98. C₂×#13093956	C₂²	semidirect
99. #106×D₄₇	C₂²	semidirect
100. #15689131	C₂²	semidirect
101. #15689130	C₂²	semidirect
105. #15689124	C₂²	semidirect
107. #15689121	C₂²	semidirect
109. #15689116	C₂²	semidirect
110. C₂×#13093949	C₂²	semidirect
111. #103×D₄₇	C₂²	semidirect
114. #15689078	C₂²	semidirect
115. #15689078	C₂²	semidirect
116. #15689077	C₂²	semidirect
117. #15689077	C₂²	semidirect
118. C₄×#10625329	C₂²	semidirect
119. C₄×#10625324	C₂²	semidirect
120. C₄×C₈×D₄₇	C₂²	semidirect
123. C₄×#41×C₄₇	C₂²	semidirect
124. C₄×Q₁₆×C₄₇	C₂²	semidirect
125. C₄×Q₁₆×C₄₇	C₂²	semidirect
126. C₄×SD₁₆×C₄₇	C₂²	semidirect
127. C₄×SD₁₆×C₄₇	C₂²	semidirect
128. C₄×SD₁₆×C₄₇	C₂²	semidirect
129. C₄×SD₁₆×C₄₇	C₂²	semidirect
130. C₄×D₈×C₄₇	C₂²	semidirect
131. C₄×D₈×C₄₇	C₂²	semidirect
132. C₄₇×#427	C₂²	semidirect
134. C₄₇×#416	C₂²	semidirect
135. C₂×C₄×C₈×C₄₇	C₂²	semidirect
137. #13094071	C₂×C₄	semidirect
139. #13094070	C₂×C₄	semidirect
155. #13094056	C₂×C₄	semidirect
156. #13094054	C₂×C₄	semidirect
157. #13094049	C₂×C₄	semidirect
158. #13094048	C₂×C₄	semidirect
159. #13094045	C₂×C₄	semidirect
161. C₂×#10625325	C₂×C₄	semidirect
166. SD₁₆×D₄₇	C₂×C₄	semidirect
169. #13094030	C₂×C₄	semidirect
285. #135×C₄₇	C₂×C₄	semidirect
332. #41×C₄₇	C₂²×C₄	semidirect
360. Q₈×D₄₇	C₂²×C₄	semidirect
363. #10625352	C₂²×C₄	semidirect
395. C₂×Dic₉₄	C₂²×C₄	semidirect
398. Q₁₆×C₄₇	C₂²×C₄	semidirect
399. SD₁₆×C₄₇	C₂²×C₄	semidirect
400. SD₁₆×C₄₇	C₂²×C₄	semidirect
401. D₈×C₄₇	C₂²×C₄	semidirect
403. C₂×C₈×C₄₇	C₂²×C₄	semidirect
435. #10625337	C₂²×C₄	semidirect
436. #10625336	C₂²×C₄	semidirect
437. #10625335	C₂²×C₄	semidirect
438. #10625334	C₂²×C₄	semidirect
475. #10625329	C₂²×C₄	semidirect
478. #10625325	C₂²×C₄	semidirect
479. #10625325	C₂²×C₄	semidirect
481. #10625324	C₂²×C₄	semidirect
483. C₈×D₄₇	C₂²×C₄	semidirect
599. C₄×C₄₇	#577	semidirect
624. C₄×#135	D₄₇	semidirect
675. C₄×#41	C₂×D₄₇	semidirect
697. C₄×Q₁₆	C₂×D₄₇	semidirect
698. C₄×Q₁₆	C₂×D₄₇	semidirect
711. C₄×SD₁₆	C₂×D₄₇	semidirect
712. C₄×SD₁₆	C₂×D₄₇	semidirect
713. C₄×SD₁₆	C₂×D₄₇	semidirect
714. C₄×SD₁₆	C₂×D₄₇	semidirect
717. C₄×D₈	C₂×D₄₇	semidirect
718. C₄×D₈	C₂×D₄₇	semidirect
724. #427	C₂×D₄₇	semidirect
738. #416	C₂×D₄₇	semidirect
750. C₂×C₄×C₈	C₂×D₄₇	semidirect
751. C₄₇	C₄×#577	semidirect
778. #135	C₄×D₄₇	semidirect
957. #41	C₂×C₄×D₄₇	semidirect
1015. Q₁₆	C₂×C₄×D₄₇	semidirect
1020. SD₁₆	C₂×C₄×D₄₇	semidirect
1021. SD₁₆	C₂×C₄×D₄₇	semidirect
1023. D₈	C₂×C₄×D₄₇	semidirect
1033. C₂×C₈	C₂×C₄×D₄₇	semidirect
1220. C₄	#15689930	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#15689930	2
C₄×#13094071	2
C₄×#13094070	2
#20252272	2
#20252266	2
#20252246	2
#20252242	2
#20252234	2
#20252226	2
#20252223	2
#20252213	2
C₄×#13094056	2
C₄×#13094054	2
C₄×#13094049	2
C₄×#13094048	2
C₄×#13094045	2
C₂×C₄×#10625325	2
C₄×SD₁₆×D₄₇	2
#20251980	2
#20251917	2
#20251910	2
C₄×#13094030	2
C₄×#135×C₄₇	2
C₄×#577	47

Subgroups — C4×#15689930 #27080503

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#15689930 #27080503