Subgroups — #26387523

Order 12032.

1900 conjugacy classes of subgroups.

The subgroup lattice has 940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20248839	C₂	1	2	yes	maximal, complemented
2	#20248809	C₂	1	2	yes	maximal, complemented
3	#20248776	C₂	1	1	yes	maximal, characteristic, complemented
4	#20248746	C₂	1	1	yes	maximal, characteristic
5	#20248588	C₂	1	1	yes	maximal, characteristic
6	#20248409	C₂	1	1	yes	maximal, characteristic, complemented
7	#20248100	C₂	1	2	yes	maximal, complemented
8	#20247937	C₂	1	1	yes	maximal, characteristic, complemented
9	#20247915	C₂	1	1	yes	maximal, characteristic, complemented
10	#20247403	C₂	1	2	yes	maximal, complemented
11	#20247260	C₂	1	1	yes	maximal, characteristic
12	#20247238	C₂	1	1	yes	maximal, characteristic
13	#20246664	C₂	1	2	yes	maximal, complemented
14	#20246658	C₂	1	2	yes	maximal, complemented
15	C₄×#13094024	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×#13094016	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#13094016	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#13094002	C₂	1	2	yes	maximal, complemented
19	#20245868	C₂	1	2	yes	maximal, complemented
20	#20245852	C₂	1	1	yes	maximal, characteristic
21	#20245852	C₂	1	1	yes	maximal, characteristic
22	C₄²×D₁₈₈	C₂	1	1	yes	maximal, characteristic
23	C₄²×Q₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094024	C₂²	1	1	yes	characteristic
25	C₂×#13094016	C₂²	1	1	yes	characteristic
26	C₂×#13094016	C₂²	1	1	yes	characteristic
27	C₂×#13094002	C₂²	1	2	yes	—
28	C₂×C₄×Dic₉₄	C₂²	1	2	yes	—
29	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
32	C₂×#13093981	C₂²	1	2	yes	—
33	C₂×#13093981	C₂²	1	2	yes	—
34	C₂×C₄²×D₄₇	C₂²	1	2	yes	—
35	#15689064	C₂²	1	2	yes	—
36	#15689061	C₂²	1	2	yes	—
37	#15689058	C₂²	1	2	yes	—
38	#15689058	C₂²	1	2	yes	—
39	#15689057	C₂²	1	2	yes	—
40	#15689056	C₂²	1	2	yes	—
41	#15689056	C₂²	1	2	yes	—
42	#15689054	C₂²	1	2	yes	—
43	#15689047	C₂²	1	2	yes	—
44	#15689045	C₂²	1	2	yes	—
45	#15689045	C₂²	1	2	yes	—
46	#15689045	C₂²	1	2	yes	—
47	#15689043	C₂²	1	2	yes	—
48	#15689042	C₂²	1	2	yes	—
49	#15689036	C₂²	1	2	yes	—
50	#15689034	C₂²	1	2	yes	—
51	#15689029	C₂²	1	2	yes	—
52	#15689027	C₂²	1	2	yes	—
53	#15689025	C₂²	1	1	yes	characteristic
54	#15689025	C₂²	1	1	yes	characteristic
55	#15689025	C₂²	1	1	yes	characteristic
56	#15689025	C₂²	1	1	yes	characteristic
57	#15689021	C₂²	1	2	yes	—
58	#15689021	C₂²	1	1	yes	characteristic
59	#15689021	C₂²	1	1	yes	characteristic
60	#15689021	C₂²	1	1	yes	characteristic
61	#15689021	C₂²	1	1	yes	characteristic
62	#15689021	C₂²	1	1	yes	characteristic
63	#15689021	C₂²	1	1	yes	characteristic
64	#15689021	C₂²	1	1	yes	characteristic
65	#15689021	C₂²	1	1	yes	characteristic
66	#15689021	C₂²	1	1	yes	characteristic
67	#15689021	C₂²	1	1	yes	characteristic
68	#15689020	C₂²	1	2	yes	—
69	#15689020	C₂²	1	2	yes	—
70	#15689018	C₂²	1	2	yes	—
71	#15689018	C₂²	1	2	yes	—
72	#15689018	C₂²	1	2	yes	—
73	#15689014	C₂²	1	2	yes	—
74	#15689014	C₂²	1	2	yes	—
75	#15689014	C₂²	1	2	yes	—
76	#15689014	C₂²	1	2	yes	—
77	#15689009	C₂²	1	2	yes	—
78	#15689007	C₂²	1	2	yes	—
79	#15689007	C₂²	1	2	yes	—
80	#15689007	C₂²	1	2	yes	—
81	#15689007	C₂²	1	2	yes	—
82	#15689005	C₂²	1	2	yes	—
83	#15688997	C₂²	1	2	yes	—
84	#15688997	C₂²	1	2	yes	—
85	#15688997	C₂²	1	2	yes	—
86	#15688994	C₂²	1	2	yes	—
87	#15688994	C₂²	1	2	yes	—
88	#15688994	C₂²	1	2	yes	—
89	#15688993	C₂²	1	1	yes	characteristic
90	#15688989	C₂²	1	1	yes	characteristic
91	#15688989	C₂²	1	1	yes	characteristic
92	#15688982	C₂²	1	2	yes	—
93	C₄×Dic₄₇⋊C₄	C₂²	1	2	yes	—
94	C₄×Dic₄₇⋊C₄	C₂²	1	2	yes	—
95	C₄×Dic₄₇⋊C₄	C₂²	1	2	yes	—
96	C₄×Dic₄₇⋊C₄	C₂²	1	2	yes	—
97	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
98	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
99	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
100	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
101	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
102	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
103	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
104	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
105	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
106	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
107	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	2	yes	—
108	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
109	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
110	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
111	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
113	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
114	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
115	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
120	C₄³×C₄₇	C₂²	1	1	yes	characteristic
121	C₄³×C₄₇	C₂²	1	1	yes	characteristic
122	C₄³×C₄₇	C₂²	1	1	yes	characteristic
123	C₂²×Dic₉₄	C₂³	1	2	yes	—
124	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
125	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
126	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
127	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
128	#13094024	—	2	4	no	—
129	#13094016	—	2	4	no	—
130	#13094016	—	2	4	no	—
131	#13094002	—	2	8	no	—
132	C₄×Dic₉₄	—	4	4	no	—
133	C₄×D₁₈₈	—	2	4	no	—
134	C₄×D₁₈₈	—	2	4	no	—
135	C₄×D₁₈₈	Q₈	1	8	yes	complemented
136	#13093981	—	2	8	no	—
137	#13093981	—	4	4	no	—
138	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
139	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
140	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
141	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
142	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
143	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
144	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
145	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
146	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
147	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
148	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
149	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
150	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
151	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
152	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
153	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
154	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
155	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
156	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
157	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
158	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
159	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
160	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
161	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
162	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
163	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
164	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
165	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
166	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
167	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
168	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
169	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
170	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
171	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
172	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
173	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
174	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
175	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
176	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
177	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
178	C₄²×D₄₇	—	4	4	no	—
179	C₄₇⋊#95	C₂³	1	2	yes	—
180	C₄₇⋊#95	C₂³	1	2	yes	—
181	C₄₇⋊#95	C₂³	1	2	yes	—
182	C₄₇⋊#95	C₂³	1	2	yes	—
183	C₄₇⋊#95	C₂³	1	2	yes	—
184	C₄₇⋊#95	C₂³	1	2	yes	—
185	C₄₇⋊#95	C₂³	1	2	yes	—
186	C₄₇⋊#95	C₂³	1	2	yes	—
187	C₄₇⋊#95	C₂³	1	2	yes	—
188	C₄₇⋊#95	C₂³	1	2	yes	—
189	C₄₇⋊#95	C₂³	1	2	yes	—
190	C₄₇⋊#95	C₂³	1	2	yes	—
191	C₄₇⋊#95	C₂³	1	2	yes	—
192	C₄₇⋊#95	C₂³	1	2	yes	—
193	C₄₇⋊#95	C₂³	1	2	yes	—
194	C₄₇⋊#95	C₂³	1	2	yes	—
195	C₄₇⋊#95	C₂³	1	2	yes	—
196	C₄₇⋊#95	C₂³	1	2	yes	—
197	C₄₇⋊#95	C₂³	1	2	yes	—
198	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
199	C₄×Q₈×C₄₇	—	2	4	no	—
200	C₄×Q₈×C₄₇	—	2	4	no	—
201	C₄×Q₈×C₄₇	—	2	4	no	—
202	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
230	#95×C₄₇	C₂³	1	1	yes	characteristic
231	#95×C₄₇	C₂³	1	1	yes	characteristic
232	#95×C₄₇	C₂³	1	1	yes	characteristic
233	#95×C₄₇	C₂³	1	1	yes	characteristic
234	#95×C₄₇	C₂³	1	1	yes	characteristic
235	#95×C₄₇	C₂³	1	1	yes	characteristic
236	C₂³×D₄₇	C₂⁴	1	2	yes	—
237	C₂×Q₈×C₄₇	—	2	2	no	—
238	C₂×Q₈×C₄₇	—	2	2	no	—
239	C₂×Q₈×C₄₇	—	2	2	no	—
240	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
241	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
242	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
243	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
244	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
245	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
246	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
247	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
248	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
249	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
250	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
251	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
252	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
253	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
254	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
255	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
256	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
257	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
258	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
259	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
260	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
261	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
262	C₂×D₁₈₈	—	2	2	no	—
263	C₂×D₁₈₈	—	2	2	no	—
264	C₂×D₁₈₈	C₂×Q₈	1	4	yes	—
265	C₂×C₄×D₄₇	—	2	4	no	—
266	C₂×C₄×D₄₇	—	2	4	no	—
267	C₂×C₄×D₄₇	—	2	4	no	—
268	C₂×C₄×D₄₇	—	2	4	no	—
269	C₂×C₄×D₄₇	—	2	4	no	—
270	C₂×C₄×D₄₇	—	4	2	no	—
271	C₂×C₄×D₄₇	—	4	2	no	—
272	C₂×C₄×D₄₇	—	4	2	no	—
273	C₂×C₄×D₄₇	C₂×Q₈	1	8	yes	—
274	C₂×Dic₉₄	—	2	4	no	—
275	C₂×Dic₉₄	—	2	4	no	—
276	C₂×Dic₉₄	—	4	2	no	—
277	C₄⋊C₄×C₄₇	—	2	2	no	—
278	C₄⋊C₄×C₄₇	—	2	2	no	—
279	C₄⋊C₄×C₄₇	—	2	2	no	—
280	C₄⋊C₄×C₄₇	—	2	2	no	—
281	C₄⋊C₄×C₄₇	—	2	2	no	—
282	C₄⋊C₄×C₄₇	—	2	2	no	—
283	C₄⋊C₄×C₄₇	—	2	2	no	—
284	C₄⋊C₄×C₄₇	—	2	2	no	—
285	C₄⋊C₄×C₄₇	#41	1	4	yes	—
286	C₄²×C₄₇	—	2	2	no	—
287	C₄²×C₄₇	—	2	2	no	—
288	C₄²×C₄₇	—	2	2	no	—
289	C₄²×C₄₇	—	2	2	no	—
290	C₄²×C₄₇	—	2	2	no	—
291	C₄²×C₄₇	—	2	2	no	—
292	C₄²×C₄₇	—	2	2	no	—
293	C₄²×C₄₇	—	2	2	no	—
294	C₄²×C₄₇	—	2	2	no	—
295	C₄²×C₄₇	—	2	2	no	—
296	C₄²×C₄₇	—	2	2	no	—
297	C₄²×C₄₇	—	2	2	no	—
298	C₄²×C₄₇	—	2	2	no	—
299	C₄²×C₄₇	—	4	1	no	—
300	C₄²×C₄₇	—	4	1	no	—
301	C₄²×C₄₇	—	4	1	no	—
302	C₄²×C₄₇	C₂×Q₈	1	4	yes	—
303	C₄²×C₄₇	#41	1	4	yes	—
304	C₄²×C₄₇	#41	1	4	yes	—
305	(C₂×D₄₇)⋊C₄	—	2	4	no	—
306	(C₂×D₄₇)⋊C₄	—	2	4	no	—
307	(C₂×D₄₇)⋊C₄	—	2	4	no	—
308	(C₂×D₄₇)⋊C₄	—	2	4	no	—
309	(C₂×D₄₇)⋊C₄	—	2	4	no	—
310	(C₂×D₄₇)⋊C₄	—	2	4	no	—
311	(C₂×D₄₇)⋊C₄	—	4	2	no	—
312	(C₂×D₄₇)⋊C₄	—	4	2	no	—
313	(C₂×D₄₇)⋊C₄	—	4	2	no	—
314	(C₂×D₄₇)⋊C₄	—	4	2	no	—
315	(C₂×D₄₇)⋊C₄	C₂×Q₈	1	8	yes	—
316	C₄⋊Dic₄₇	—	2	2	no	—
317	C₄⋊Dic₄₇	—	2	2	no	—
318	C₄⋊Dic₄₇	—	2	2	no	—
319	C₄⋊Dic₄₇	—	2	2	no	—
320	C₄⋊Dic₄₇	—	2	2	no	—
321	C₄⋊Dic₄₇	—	2	4	no	—
322	C₄⋊Dic₄₇	—	4	2	no	—
323	C₄⋊Dic₄₇	—	4	2	no	—
324	C₄⋊Dic₄₇	C₂×Q₈	1	4	yes	—
325	C₄⋊Dic₄₇	#41	1	4	yes	—
326	Dic₄₇⋊C₄	—	2	4	no	—
327	Dic₄₇⋊C₄	—	2	4	no	—
328	Dic₄₇⋊C₄	—	2	4	no	—
329	Dic₄₇⋊C₄	—	2	4	no	—
330	Dic₄₇⋊C₄	—	2	4	no	—
331	Dic₄₇⋊C₄	—	2	4	no	—
332	Dic₄₇⋊C₄	—	2	4	no	—
333	Dic₄₇⋊C₄	—	2	4	no	—
334	Dic₄₇⋊C₄	—	4	2	no	—
335	Dic₄₇⋊C₄	—	4	2	no	—
336	Dic₄₇⋊C₄	—	4	2	no	—
337	Dic₄₇⋊C₄	—	4	2	no	—
338	Dic₄₇⋊C₄	—	4	2	no	—
339	Dic₄₇⋊C₄	—	4	2	no	—
340	C₄×Dic₄₇	—	2	4	no	—
341	C₄×Dic₄₇	—	2	4	no	—
342	C₄×Dic₄₇	—	2	4	no	—
343	C₄×Dic₄₇	—	4	2	no	—
344	C₄×Dic₄₇	—	4	2	no	—
345	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
346	C₂²×D₄₇	—	2	2	no	—
347	C₂²×D₄₇	—	2	2	no	—
348	C₂²×D₄₇	—	2	2	no	—
349	C₂²×D₄₇	—	2	2	no	—
350	C₂²×D₄₇	—	2	2	no	—
351	C₂²×D₄₇	—	2	2	no	—
352	C₂²×D₄₇	C₂²×Q₈	1	4	yes	—
353	Q₈×C₄₇	—	2	8	no	—
354	C₂×C₄×C₄₇	—	2	1	no	—
355	C₂×C₄×C₄₇	—	2	1	no	—
356	C₂×C₄×C₄₇	—	2	1	no	—
357	C₂×C₄×C₄₇	—	2	1	no	—
358	C₂×C₄×C₄₇	—	2	1	no	—
359	C₂×C₄×C₄₇	—	2	1	no	—
360	C₂×C₄×C₄₇	—	2	1	no	—
361	C₂×C₄×C₄₇	—	2	1	no	—
362	C₂×C₄×C₄₇	—	2	1	no	—
363	C₂×C₄×C₄₇	—	2	1	no	—
364	C₂×C₄×C₄₇	—	2	1	no	—
365	C₂×C₄×C₄₇	—	2	1	no	—
366	C₂×C₄×C₄₇	—	2	1	no	—
367	C₂×C₄×C₄₇	—	2	1	no	—
368	C₂×C₄×C₄₇	—	2	1	no	—
369	C₂×C₄×C₄₇	—	2	1	no	—
370	C₂×C₄×C₄₇	—	2	1	no	—
371	C₂×C₄×C₄₇	—	2	1	no	—
372	C₂×C₄×C₄₇	—	2	1	no	—
373	C₂×C₄×C₄₇	—	2	1	no	—
374	C₂×C₄×C₄₇	—	2	1	no	—
375	C₂×C₄×C₄₇	—	2	1	no	—
376	C₂×C₄×C₄₇	—	2	1	no	—
377	C₂×C₄×C₄₇	—	2	1	no	—
378	C₂×C₄×C₄₇	—	2	1	no	—
379	C₂×C₄×C₄₇	—	2	1	no	—
380	C₂×C₄×C₄₇	—	2	1	no	—
381	C₂×C₄×C₄₇	—	2	1	no	—
382	C₂×C₄×C₄₇	—	2	1	no	—
383	C₂×C₄×C₄₇	—	2	1	no	—
384	C₂×C₄×C₄₇	—	2	1	no	—
385	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
386	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
387	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
388	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
389	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
390	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
391	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
392	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
393	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
394	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
395	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
396	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
397	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
398	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
399	C₂×Dic₄₇	—	2	2	no	—
400	C₂×Dic₄₇	—	2	2	no	—
401	C₂×Dic₄₇	—	2	2	no	—
402	C₂×Dic₄₇	—	2	2	no	—
403	C₂×Dic₄₇	—	2	2	no	—
404	C₂×Dic₄₇	—	2	2	no	—
405	C₂×Dic₄₇	—	2	2	no	—
406	C₂×Dic₄₇	—	2	2	no	—
407	C₂×Dic₄₇	—	2	2	no	—
408	C₂×Dic₄₇	—	2	2	no	—
409	C₂×Dic₄₇	—	2	2	no	—
410	C₂×Dic₄₇	—	2	2	no	—
411	C₂×Dic₄₇	—	2	2	no	—
412	C₂×Dic₄₇	—	2	2	no	—
413	C₂×Dic₄₇	—	2	2	no	—
414	C₂×Dic₄₇	—	2	2	no	—
415	C₂×Dic₄₇	—	2	2	no	—
416	C₂×Dic₄₇	—	2	2	no	—
417	C₂×Dic₄₇	—	2	2	no	—
418	C₂×Dic₄₇	C₂²×Q₈	1	4	yes	—
419	C₂×Dic₄₇	C₂×#41	1	4	yes	—
420	D₁₈₈	—	2	8	no	—
421	C₄×D₄₇	—	2	16	no	—
422	C₄×D₄₇	—	4	8	no	—
423	C₄×D₄₇	—	4	8	no	—
424	Dic₉₄	—	4	8	no	—
425	#34893	—	47	1	no	maximal, Sylow
426	C₂²×C₄₇	C₂³×Q₈	1	1	yes	characteristic
427	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
428	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
429	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
430	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
431	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
432	C₂²×C₄₇	#585	1	1	yes	characteristic
433	C₂×D₄₇	—	2	4	no	—
434	C₂×D₄₇	—	2	4	no	—
435	C₂×D₄₇	—	2	4	no	—
436	C₂×D₄₇	—	4	2	no	—
437	C₂×D₄₇	—	4	2	no	—
438	C₂×D₄₇	—	4	2	no	—
439	C₂×D₄₇	—	4	2	no	—
440	C₄×C₄₇	—	2	2	no	—
441	C₄×C₄₇	—	2	2	no	—
442	C₄×C₄₇	—	2	2	no	—
443	C₄×C₄₇	—	2	2	no	—
444	C₄×C₄₇	—	2	2	no	—
445	C₄×C₄₇	—	2	2	no	—
446	C₄×C₄₇	—	2	2	no	—
447	C₄×C₄₇	—	2	2	no	—
448	C₄×C₄₇	—	4	1	no	—
449	C₄×C₄₇	—	4	1	no	—
450	C₄×C₄₇	—	4	1	no	—
451	C₄×C₄₇	—	4	1	no	—
452	C₄×C₄₇	—	4	1	no	—
453	C₄×C₄₇	#533	1	4	yes	—
454	C₄×C₄₇	#554	1	4	yes	—
455	Dic₄₇	—	2	4	no	—
456	Dic₄₇	—	2	4	no	—
457	Dic₄₇	—	4	2	no	—
458	Dic₄₇	—	4	2	no	—
459	Dic₄₇	—	4	2	no	—
460	Dic₄₇	—	4	2	no	—
461	Dic₄₇	—	4	2	no	—
462	#2589	—	47	2	no	—
463	#2587	—	47	2	no	—
464	#2584	—	47	1	no	—
465	#2580	—	47	1	no	—
466	#2566	—	47	1	no	—
467	#2550	—	47	1	no	—
468	#2522	—	47	2	no	—
469	#2509	—	47	1	no	—
470	#2507	—	47	1	no	—
471	#2465	—	47	2	no	—
472	#2454	—	47	1	no	—
473	#2452	—	47	1	no	—
474	#2396	—	47	2	no	—
475	#2396	—	47	2	no	—
476	C₄×C₄⋊Q₈	—	47	1	no	—
477	C₄×#125	—	47	1	no	—
478	C₄×#125	—	47	1	no	—
479	C₄×C₂²⋊Q₈	—	47	2	no	—
480	#2296	—	47	2	no	—
481	#2293	—	47	1	no	—
482	#2293	—	47	1	no	—
483	C₄²×Q₈	D₄₇	1	1	yes	characteristic, complemented
484	C₄²×D₄	—	47	1	no	—
485	C₂×C₄₇	C₂×#533	1	1	yes	characteristic
486	C₂×C₄₇	#3444	1	1	yes	characteristic
487	C₂×C₄₇	#3460	1	1	yes	characteristic
488	C₂×C₄₇	C₂×#554	1	1	yes	characteristic
489	C₂×C₄₇	Q₈×#41	1	1	yes	characteristic
490	C₂×C₄₇	#3480	1	1	yes	characteristic
491	C₂×C₄₇	#3481	1	1	yes	characteristic
492	D₄₇	—	4	4	no	—
493	C₂×C₄⋊Q₈	—	47	1	no	—
494	C₂×#125	—	47	1	no	—
495	C₂×#125	—	47	1	no	—
496	C₂×C₂²⋊Q₈	—	47	2	no	—
497	C₂×C₄×Q₈	—	47	2	no	—
498	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
499	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
500	C₂×C₄×Q₈	C₂×D₄₇	1	1	yes	characteristic
501	C₂×C₄×D₄	—	47	1	no	—
502	C₂×C₄×D₄	—	47	1	no	—
503	C₂×C₄×D₄	—	47	1	no	—
504	C₂×#117	—	47	2	no	—
505	C₂×#117	—	47	2	no	—
506	C₂²×C₄²	—	47	2	no	—
507	#400	—	47	2	no	—
508	#400	—	47	2	no	—
509	#399	—	47	2	no	—
510	#399	—	47	2	no	—
511	#398	—	47	2	no	—
512	#398	—	47	2	no	—
513	#398	—	47	2	no	—
514	#398	—	47	2	no	—
515	#396	—	47	2	no	—
516	#396	—	47	2	no	—
517	#396	—	47	2	no	—
518	#396	—	47	2	no	—
519	#395	—	47	2	no	—
520	#395	—	47	2	no	—
521	#393	—	47	2	no	—
522	#393	—	47	2	no	—
523	#391	—	47	2	no	—
524	#391	—	47	2	no	—
525	#390	—	47	1	no	—
526	#390	—	47	1	no	—
527	#390	—	47	1	no	—
528	#390	—	47	1	no	—
529	#389	—	47	2	no	—
530	#389	—	47	2	no	—
531	#389	—	47	2	no	—
532	#389	—	47	1	no	—
533	#389	—	47	1	no	—
534	#389	—	47	1	no	—
535	#389	—	47	1	no	—
536	#389	—	47	1	no	—
537	#389	—	47	1	no	—
538	#389	—	47	2	no	—
539	#389	—	47	1	no	—
540	#389	—	47	1	no	—
541	#389	—	47	1	no	—
542	#389	—	47	1	no	—
543	#389	—	47	2	no	—
544	#389	—	47	2	no	—
545	#388	—	47	2	no	—
546	#388	—	47	2	no	—
547	#388	—	47	2	no	—
548	#388	—	47	2	no	—
549	#387	—	47	2	no	—
550	#387	—	47	2	no	—
551	#387	—	47	2	no	—
552	#387	—	47	2	no	—
553	#387	—	47	2	no	—
554	#387	—	47	2	no	—
555	#385	—	47	2	no	—
556	#385	—	47	2	no	—
557	#385	—	47	2	no	—
558	#385	—	47	2	no	—
559	#385	—	47	2	no	—
560	#385	—	47	2	no	—
561	#384	—	47	1	no	—
562	#382	—	47	1	no	—
563	#382	—	47	1	no	—
564	#380	—	47	2	no	—
565	C₄×C₄⋊C₄	—	47	1	no	—
566	C₄×C₄⋊C₄	—	47	1	no	—
567	C₄×C₄⋊C₄	—	47	1	no	—
568	C₄×C₄⋊C₄	—	47	2	no	—
569	C₄×C₄⋊C₄	—	47	2	no	—
570	C₄×C₄⋊C₄	—	47	2	no	—
571	C₄×C₄⋊C₄	—	47	2	no	—
572	C₄×C₄⋊C₄	—	47	2	no	—
573	C₄×C₄⋊C₄	—	47	1	no	—
574	C₄×C₄⋊C₄	—	47	1	no	—
575	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
576	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
577	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
578	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
579	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
580	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
581	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
582	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
583	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
584	C₄×C₂²⋊C₄	—	47	2	no	—
585	C₄×C₂²⋊C₄	—	47	2	no	—
586	C₄×C₂²⋊C₄	—	47	2	no	—
587	C₄×C₂²⋊C₄	—	47	2	no	—
588	C₄×C₂²⋊C₄	—	47	2	no	—
589	C₄³	C₂×D₄₇	1	1	yes	characteristic
590	C₄³	C₂×D₄₇	1	1	yes	characteristic
591	C₄³	C₂×D₄₇	1	1	yes	characteristic
592	C₄₇	#34893	1	1	yes	characteristic, complemented, Sylow
593	C₂²×Q₈	—	47	2	no	—
594	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
595	C₂²×D₄	—	47	1	no	—
596	C₂³×C₄	—	47	2	no	—
597	C₂³×C₄	—	47	2	no	—
598	C₂³×C₄	—	47	2	no	—
599	C₄⋊Q₈	—	94	4	no	—
600	#125	—	94	4	no	—
601	#125	—	94	4	no	—
602	C₂²⋊Q₈	—	94	8	no	—
603	C₄×Q₈	—	2	4	no	—
604	C₄×Q₈	—	2	4	no	—
605	C₄×Q₈	—	2	4	no	—
606	C₄×Q₈	—	188	4	no	—
607	C₄×D₄	—	47	8	no	—
608	C₄×D₄	—	94	4	no	—
609	C₄×D₄	—	94	4	no	—
610	#117	—	94	8	no	—
611	#117	—	188	4	no	—
612	C₂×C₄⋊C₄	—	47	1	no	—
613	C₂×C₄⋊C₄	—	47	1	no	—
614	C₂×C₄⋊C₄	—	47	2	no	—
615	C₂×C₄⋊C₄	—	47	2	no	—
616	C₂×C₄⋊C₄	—	47	1	no	—
617	C₂×C₄⋊C₄	—	47	2	no	—
618	C₂×C₄⋊C₄	—	47	2	no	—
619	C₂×C₄⋊C₄	—	47	2	no	—
620	C₂×C₄⋊C₄	—	47	2	no	—
621	C₂×C₄⋊C₄	—	47	2	no	—
622	C₂×C₄⋊C₄	—	47	2	no	—
623	C₂×C₄⋊C₄	—	47	1	no	—
624	C₂×C₄⋊C₄	—	47	1	no	—
625	C₂×C₄⋊C₄	—	47	1	no	—
626	C₂×C₄⋊C₄	—	47	1	no	—
627	C₂×C₄⋊C₄	—	47	2	no	—
628	C₂×C₄⋊C₄	—	47	2	no	—
629	C₂×C₄⋊C₄	—	47	2	no	—
630	C₂×C₄⋊C₄	—	47	2	no	—
631	C₂×C₄⋊C₄	—	47	2	no	—
632	C₂×C₄⋊C₄	—	47	2	no	—
633	C₂×C₄⋊C₄	—	47	2	no	—
634	C₂×C₄⋊C₄	—	47	2	no	—
635	C₂×C₄⋊C₄	—	47	2	no	—
636	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
637	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
645	C₂×C₂²⋊C₄	—	47	2	no	—
646	C₂×C₂²⋊C₄	—	47	2	no	—
647	C₂×C₂²⋊C₄	—	47	2	no	—
648	C₂×C₂²⋊C₄	—	47	2	no	—
649	C₂×C₂²⋊C₄	—	47	2	no	—
650	C₂×C₂²⋊C₄	—	47	2	no	—
651	C₂×C₂²⋊C₄	—	47	2	no	—
652	C₂×C₂²⋊C₄	—	47	2	no	—
653	C₂×C₂²⋊C₄	—	47	2	no	—
654	C₂×C₂²⋊C₄	—	47	2	no	—
655	C₂×C₂²⋊C₄	—	47	2	no	—
656	C₂×C₄²	—	47	2	no	—
657	C₂×C₄²	—	47	2	no	—
658	C₂×C₄²	—	47	2	no	—
659	C₂×C₄²	—	47	2	no	—
660	C₂×C₄²	—	47	2	no	—
661	C₂×C₄²	—	188	4	no	—
662	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
663	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
664	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
665	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
666	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
667	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
668	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
669	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
670	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
671	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
672	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
673	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
674	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
675	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
676	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
677	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
678	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
679	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
680	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
681	#95	—	47	2	no	—
682	#95	—	47	2	no	—
683	#95	—	47	2	no	—
684	#95	—	47	2	no	—
685	#95	—	47	2	no	—
686	#95	—	47	2	no	—
687	#95	—	47	2	no	—
688	#95	—	47	2	no	—
689	#95	—	47	2	no	—
690	#95	—	47	2	no	—
691	#95	—	47	2	no	—
692	#95	—	47	2	no	—
693	#95	—	47	2	no	—
694	#95	—	47	2	no	—
695	#95	—	47	2	no	—
696	#95	—	47	2	no	—
697	#95	—	47	2	no	—
698	#95	—	47	2	no	—
699	#95	—	47	2	no	—
700	#95	C₂²×D₄₇	1	1	yes	characteristic
701	#95	C₂²×D₄₇	1	1	yes	characteristic
702	#95	C₂²×D₄₇	1	1	yes	characteristic
703	#95	C₂²×D₄₇	1	1	yes	characteristic
704	#95	C₂²×D₄₇	1	1	yes	characteristic
705	#95	C₂²×D₄₇	1	1	yes	characteristic
706	C₂⁴	—	47	2	no	—
707	C₂×Q₈	—	2	2	no	—
708	C₂×Q₈	—	2	2	no	—
709	C₂×Q₈	—	2	2	no	—
710	C₂×Q₈	—	94	4	no	—
711	C₂×Q₈	—	94	4	no	—
712	C₂×Q₈	—	188	2	no	—
713	C₂×D₄	—	47	4	no	—
714	C₂×D₄	—	94	2	no	—
715	C₂×D₄	—	94	2	no	—
716	C₂²×C₄	—	47	2	no	—
717	C₂²×C₄	—	47	2	no	—
718	C₂²×C₄	—	47	8	no	—
719	C₂²×C₄	—	47	2	no	—
720	C₂²×C₄	—	47	2	no	—
721	C₂²×C₄	—	47	2	no	—
722	C₂²×C₄	—	47	2	no	—
723	C₂²×C₄	—	47	2	no	—
724	C₂²×C₄	—	94	4	no	—
725	C₂²×C₄	—	94	4	no	—
726	C₂²×C₄	—	94	4	no	—
727	C₂²×C₄	—	94	4	no	—
728	C₂²×C₄	—	94	4	no	—
729	C₂²×C₄	—	188	2	no	—
730	C₂²×C₄	—	188	2	no	—
731	C₂²×C₄	—	188	2	no	—
732	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
733	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
734	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
735	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
736	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
737	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
738	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
739	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
740	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
741	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
742	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
743	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
744	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
745	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
746	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
747	C₄⋊C₄	—	2	2	no	—
748	C₄⋊C₄	—	2	2	no	—
749	C₄⋊C₄	—	2	2	no	—
750	C₄⋊C₄	—	2	2	no	—
751	C₄⋊C₄	—	2	2	no	—
752	C₄⋊C₄	—	2	2	no	—
753	C₄⋊C₄	—	2	2	no	—
754	C₄⋊C₄	—	2	2	no	—
755	C₄⋊C₄	—	47	4	no	—
756	C₄⋊C₄	—	47	4	no	—
757	C₄⋊C₄	—	94	4	no	—
758	C₄⋊C₄	—	94	4	no	—
759	C₄⋊C₄	—	94	4	no	—
760	C₄⋊C₄	—	94	2	no	—
761	C₄⋊C₄	—	94	2	no	—
762	C₄⋊C₄	—	94	4	no	—
763	C₄⋊C₄	—	94	4	no	—
764	C₄⋊C₄	—	94	4	no	—
765	C₄⋊C₄	—	94	4	no	—
766	C₄⋊C₄	—	94	4	no	—
767	C₄⋊C₄	—	94	4	no	—
768	C₄⋊C₄	—	94	2	no	—
769	C₄⋊C₄	—	94	2	no	—
770	C₄⋊C₄	—	94	2	no	—
771	C₄⋊C₄	—	188	2	no	—
772	C₄⋊C₄	—	188	2	no	—
773	C₄⋊C₄	—	188	2	no	—
774	C₄⋊C₄	—	188	2	no	—
775	C₄⋊C₄	—	188	2	no	—
776	C₄⋊C₄	—	188	2	no	—
777	C₄⋊C₄	—	188	2	no	—
778	C₄⋊C₄	—	188	2	no	—
779	C₄⋊C₄	#10625350	1	4	yes	—
780	C₂²⋊C₄	—	47	8	no	—
781	C₂²⋊C₄	—	94	4	no	—
782	C₂²⋊C₄	—	94	4	no	—
783	C₂²⋊C₄	—	94	4	no	—
784	C₂²⋊C₄	—	94	4	no	—
785	C₂²⋊C₄	—	94	4	no	—
786	C₂²⋊C₄	—	94	4	no	—
787	C₂²⋊C₄	—	188	2	no	—
788	C₂²⋊C₄	—	188	2	no	—
789	C₂²⋊C₄	—	188	2	no	—
790	C₂²⋊C₄	—	188	2	no	—
791	C₄²	—	2	2	no	—
792	C₄²	—	2	2	no	—
793	C₄²	—	2	2	no	—
794	C₄²	—	2	2	no	—
795	C₄²	—	2	2	no	—
796	C₄²	—	2	2	no	—
797	C₄²	—	2	2	no	—
798	C₄²	—	2	2	no	—
799	C₄²	—	2	2	no	—
800	C₄²	—	2	2	no	—
801	C₄²	—	2	2	no	—
802	C₄²	—	2	2	no	—
803	C₄²	—	2	2	no	—
804	C₄²	—	4	1	no	—
805	C₄²	—	4	1	no	—
806	C₄²	—	4	1	no	—
807	C₄²	—	94	4	no	—
808	C₄²	—	94	4	no	—
809	C₄²	—	94	4	no	—
810	C₄²	—	188	2	no	—
811	C₄²	—	188	2	no	—
812	C₄²	#10625350	1	4	yes	—
813	C₄²	#10625350	1	4	yes	—
814	C₄²	Q₈×D₄₇	1	4	yes	—
815	C₂³	—	47	4	no	—
816	C₂³	—	94	2	no	—
817	C₂³	—	94	2	no	—
818	C₂³	—	94	2	no	—
819	C₂³	—	94	2	no	—
820	C₂³	—	94	2	no	—
821	C₂³	—	94	2	no	—
822	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
823	Q₈	—	2	8	no	—
824	Q₈	—	188	8	no	—
825	D₄	—	94	8	no	—
826	C₂×C₄	—	2	1	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	1	no	—
829	C₂×C₄	—	2	1	no	—
830	C₂×C₄	—	2	1	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	1	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	1	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	1	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	1	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	1	no	—
857	C₂×C₄	—	47	4	no	—
858	C₂×C₄	—	47	4	no	—
859	C₂×C₄	—	94	2	no	—
860	C₂×C₄	—	94	2	no	—
861	C₂×C₄	—	94	2	no	—
862	C₂×C₄	—	94	2	no	—
863	C₂×C₄	—	94	16	no	—
864	C₂×C₄	—	94	2	no	—
865	C₂×C₄	—	94	2	no	—
866	C₂×C₄	—	94	2	no	—
867	C₂×C₄	—	94	2	no	—
868	C₂×C₄	—	94	2	no	—
869	C₂×C₄	—	94	2	no	—
870	C₂×C₄	—	94	2	no	—
871	C₂×C₄	—	94	2	no	—
872	C₂×C₄	—	94	2	no	—
873	C₂×C₄	—	94	2	no	—
874	C₂×C₄	—	94	2	no	—
875	C₂×C₄	—	94	2	no	—
876	C₂×C₄	—	94	2	no	—
877	C₂×C₄	—	94	2	no	—
878	C₂×C₄	—	94	2	no	—
879	C₂×C₄	—	188	8	no	—
880	C₂×C₄	—	188	8	no	—
881	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
882	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
883	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
884	C₂×C₄	#41×D₄₇	1	2	yes	—
885	C₂×C₄	C₂×#10625350	1	2	yes	—
886	C₂×C₄	C₂×#10625350	1	2	yes	—
887	C₂×C₄	C₂×#10625350	1	2	yes	—
888	C₂×C₄	C₂×#10625350	1	2	yes	—
889	C₂×C₄	C₂×#10625350	1	2	yes	—
890	C₂×C₄	C₂×#10625350	1	2	yes	—
891	C₂×C₄	C₂×#10625350	1	2	yes	—
892	C₂×C₄	C₂×#10625350	1	2	yes	—
893	C₂×C₄	C₂×#10625350	1	2	yes	—
894	C₂×C₄	#13094070	1	2	yes	—
895	C₂²	—	94	4	no	—
896	C₂²	—	94	4	no	—
897	C₂²	—	94	4	no	—
898	C₂²	—	188	2	no	—
899	C₂²	—	188	2	no	—
900	C₂²	—	188	2	no	—
901	C₂²	—	188	2	no	—
902	C₂²	C₂²×Q₈×D₄₇	1	1	yes	characteristic
903	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
904	C₂²	C₂²×#10625350	1	1	yes	characteristic
905	C₂²	C₂²×#10625350	1	1	yes	characteristic
906	C₂²	C₂²×#10625350	1	1	yes	characteristic
907	C₂²	C₂×#13094070	1	1	yes	characteristic
908	C₂²	#15689959	1	1	yes	characteristic
909	C₄	—	2	2	no	—
910	C₄	—	2	2	no	—
911	C₄	—	2	2	no	—
912	C₄	—	2	2	no	—
913	C₄	—	2	2	no	—
914	C₄	—	2	2	no	—
915	C₄	—	2	2	no	—
916	C₄	—	2	2	no	—
917	C₄	—	4	1	no	—
918	C₄	—	4	1	no	—
919	C₄	—	4	1	no	—
920	C₄	—	4	1	no	—
921	C₄	—	4	1	no	—
922	C₄	—	94	4	no	—
923	C₄	—	94	4	no	—
924	C₄	—	188	2	no	—
925	C₄	—	188	2	no	—
926	C₄	—	188	2	no	—
927	C₄	—	188	2	no	—
928	C₄	—	188	2	no	—
929	C₄	#15689677	1	4	yes	—
930	C₄	#15689833	1	4	yes	—
931	C₂	—	188	4	no	—
932	C₂	C₂×#15689677	1	1	yes	characteristic
933	C₂	#20256684	1	1	yes	characteristic
934	C₂	#20256804	1	1	yes	characteristic
935	C₂	C₂×#15689833	1	1	yes	characteristic
936	C₂	Q₈×#10625350	1	1	yes	characteristic
937	C₂	#20256981	1	1	yes	characteristic
938	C₂	#20256998	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Frattini	C₂³	C₂⁴×D₄₇
Fitting	C₄²×Q₈×C₄₇	C₂
prime radical	C₂²×D₁₈₈	C₂³
hypercenter	C₄²×Q₈	D₄₇
hypocenter	C₄₇	#34893
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ C₄²×Q₈

Complements

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

N	H ≅ G/N	type
1. #20248839	C₂	semidirect
2. #20248809	C₂	semidirect
3. #20248776	C₂	semidirect
6. #20248409	C₂	semidirect
7. #20248100	C₂	semidirect
8. #20247937	C₂	semidirect
9. #20247915	C₂	semidirect
10. #20247403	C₂	semidirect
13. #20246664	C₂	semidirect
14. #20246658	C₂	semidirect
15. C₄×#13094024	C₂	semidirect
16. C₄×#13094016	C₂	semidirect
17. C₄×#13094016	C₂	semidirect
18. C₄×#13094002	C₂	semidirect
19. #20245868	C₂	semidirect
23. C₄²×Q₈×C₄₇	C₂	semidirect
135. C₄×D₁₈₈	Q₈	semidirect
483. C₄²×Q₈	D₄₇	semidirect
592. C₄₇	#34893	semidirect

Maximal subgroups

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

subgroup	index
#20248839	2
#20248809	2
#20248776	2
#20248746	2
#20248588	2
#20248409	2
#20248100	2
#20247937	2
#20247915	2
#20247403	2
#20247260	2
#20247238	2
#20246664	2
#20246658	2
C₄×#13094024	2
C₄×#13094016	2
C₄×#13094002	2
#20245868	2
#20245852	2
C₄²×D₁₈₈	2
C₄²×Q₈×C₄₇	2
#34893	47