Subgroups — #26425667

Order 12032.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251703	C₂	1	1	yes	maximal, characteristic
2	#20251698	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251260	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251146	C₂	1	1	yes	maximal, characteristic, complemented
5	#20250790	C₂	1	1	yes	maximal, characteristic, complemented
6	#20250784	C₂	1	1	yes	maximal, characteristic, complemented
7	#20250740	C₂	1	1	yes	maximal, characteristic, complemented
8	#20250734	C₂	1	1	yes	maximal, characteristic, complemented
9	#20250689	C₂	1	1	yes	maximal, characteristic, complemented
10	#20250680	C₂	1	1	yes	maximal, characteristic, complemented
11	#20250214	C₂	1	1	yes	maximal, characteristic, complemented
12	#20250209	C₂	1	1	yes	maximal, characteristic, complemented
13	#20250169	C₂	1	1	yes	maximal, characteristic, complemented
14	#20250164	C₂	1	1	yes	maximal, characteristic, complemented
15	#20250049	C₂	1	1	yes	maximal, characteristic, complemented
16	#20249965	C₂	1	1	yes	maximal, characteristic, complemented
17	#20249849	C₂	1	1	yes	maximal, characteristic, complemented
18	#20249834	C₂	1	1	yes	maximal, characteristic, complemented
19	#20249358	C₂	1	1	yes	maximal, characteristic, complemented
20	#20249341	C₂	1	1	yes	maximal, characteristic
21	#20248612	C₂	1	1	yes	maximal, characteristic, complemented
22	#20248568	C₂	1	1	yes	maximal, characteristic
23	#20247948	C₂	1	1	yes	maximal, characteristic
24	#20247889	C₂	1	1	yes	maximal, characteristic, complemented
25	#20247643	C₂	1	1	yes	maximal, characteristic
26	#20247523	C₂	1	1	yes	maximal, characteristic, complemented
27	#20247028	C₂	1	1	yes	maximal, characteristic, complemented
28	#20246747	C₂	1	1	yes	maximal, characteristic
29	#20246121	C₂	1	1	yes	maximal, characteristic, complemented
30	#20246022	C₂	1	1	yes	maximal, characteristic
31	C₂×C₄₇×#391	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094022	C₂²	1	1	yes	characteristic
33	C₂×#13094022	C₂²	1	1	yes	characteristic
34	C₂×#13094019	C₂²	1	1	yes	characteristic
35	C₂×#13094018	C₂²	1	1	yes	characteristic
36	C₂×#13094016	C₂²	1	1	yes	characteristic
37	C₂×#13094014	C₂²	1	1	yes	characteristic
38	C₂×#13094003	C₂²	1	1	yes	characteristic
39	C₂×#13094000	C₂²	1	1	yes	characteristic
40	C₂×#13094000	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
42	C₄₇⋊#401	C₂²	1	1	yes	characteristic
43	C₄₇⋊#401	C₂²	1	1	yes	characteristic
44	#15689065	C₂²	1	1	yes	characteristic
45	#15689065	C₂²	1	1	yes	characteristic
46	#15689065	C₂²	1	1	yes	characteristic
47	#15689065	C₂²	1	1	yes	characteristic
48	#15689065	C₂²	1	1	yes	characteristic
49	#15689065	C₂²	1	1	yes	characteristic
50	#15689065	C₂²	1	1	yes	characteristic
51	#15689064	C₂²	1	1	yes	characteristic
52	#15689064	C₂²	1	1	yes	characteristic
53	#15689064	C₂²	1	1	yes	characteristic
54	#15689064	C₂²	1	1	yes	characteristic
55	#15689064	C₂²	1	1	yes	characteristic
56	#15689063	C₂²	1	1	yes	characteristic
57	#15689063	C₂²	1	1	yes	characteristic
58	#15689062	C₂²	1	1	yes	characteristic
59	#15689061	C₂²	1	1	yes	characteristic
60	#15689061	C₂²	1	1	yes	characteristic
61	#15689060	C₂²	1	1	yes	characteristic
62	#15689057	C₂²	1	1	yes	characteristic
63	#15689057	C₂²	1	1	yes	characteristic
64	#15689057	C₂²	1	1	yes	characteristic
65	#15689057	C₂²	1	1	yes	characteristic
66	#15689057	C₂²	1	1	yes	characteristic
67	#15689056	C₂²	1	1	yes	characteristic
68	#15689055	C₂²	1	1	yes	characteristic
69	#15689055	C₂²	1	1	yes	characteristic
70	#15689054	C₂²	1	1	yes	characteristic
71	#15689053	C₂²	1	1	yes	characteristic
72	#15689052	C₂²	1	1	yes	characteristic
73	#15689052	C₂²	1	1	yes	characteristic
74	#15689052	C₂²	1	1	yes	characteristic
75	#15689052	C₂²	1	1	yes	characteristic
76	#15689050	C₂²	1	1	yes	characteristic
77	#15689049	C₂²	1	1	yes	characteristic
78	#15689047	C₂²	1	1	yes	characteristic
79	#15689045	C₂²	1	1	yes	characteristic
80	#15689044	C₂²	1	1	yes	characteristic
81	#15689042	C₂²	1	1	yes	characteristic
82	#15689042	C₂²	1	1	yes	characteristic
83	#15689042	C₂²	1	1	yes	characteristic
84	#15689042	C₂²	1	1	yes	characteristic
85	#15689042	C₂²	1	1	yes	characteristic
86	#15689042	C₂²	1	1	yes	characteristic
87	#15689036	C₂²	1	1	yes	characteristic
88	#15689034	C₂²	1	1	yes	characteristic
89	#15689034	C₂²	1	1	yes	characteristic
90	#15689030	C₂²	1	1	yes	characteristic
91	#15689030	C₂²	1	1	yes	characteristic
92	#15689030	C₂²	1	1	yes	characteristic
93	#15689030	C₂²	1	1	yes	characteristic
94	#15689027	C₂²	1	1	yes	characteristic
95	#15689027	C₂²	1	1	yes	characteristic
96	#15689021	C₂²	1	1	yes	characteristic
97	#15689021	C₂²	1	1	yes	characteristic
98	#15689020	C₂²	1	1	yes	characteristic
99	#15689020	C₂²	1	1	yes	characteristic
100	#15689020	C₂²	1	1	yes	characteristic
101	#15689018	C₂²	1	1	yes	characteristic
102	#15689015	C₂²	1	1	yes	characteristic
103	#15689014	C₂²	1	1	yes	characteristic
104	#15689014	C₂²	1	1	yes	characteristic
105	#15689014	C₂²	1	1	yes	characteristic
106	#15689013	C₂²	1	1	yes	characteristic
107	#15689012	C₂²	1	1	yes	characteristic
108	#15689012	C₂²	1	1	yes	characteristic
109	#15689012	C₂²	1	1	yes	characteristic
110	#15689010	C₂²	1	1	yes	characteristic
111	#15689010	C₂²	1	1	yes	characteristic
112	#15689010	C₂²	1	1	yes	characteristic
113	#15689010	C₂²	1	1	yes	characteristic
114	#15689009	C₂²	1	1	yes	characteristic
115	#15689009	C₂²	1	1	yes	characteristic
116	#15689008	C₂²	1	1	yes	characteristic
117	#15689008	C₂²	1	1	yes	characteristic
118	#15689008	C₂²	1	1	yes	characteristic
119	#15689007	C₂²	1	1	yes	characteristic
120	#15689007	C₂²	1	1	yes	characteristic
121	#15689007	C₂²	1	1	yes	characteristic
122	#15689007	C₂²	1	1	yes	characteristic
123	#15689007	C₂²	1	1	yes	characteristic
124	#15689007	C₂²	1	1	yes	characteristic
125	#15689007	C₂²	1	1	yes	characteristic
126	#15689006	C₂²	1	1	yes	characteristic
127	#15689006	C₂²	1	1	yes	characteristic
128	#15689006	C₂²	1	1	yes	characteristic
129	#15689006	C₂²	1	1	yes	characteristic
130	#15689006	C₂²	1	1	yes	characteristic
131	#15689005	C₂²	1	1	yes	characteristic
132	#15689005	C₂²	1	1	yes	characteristic
133	#15689005	C₂²	1	1	yes	characteristic
134	#15689004	C₂²	1	1	yes	characteristic
135	#15689004	C₂²	1	1	yes	characteristic
136	#15689002	C₂²	1	1	yes	characteristic
137	#15689002	C₂²	1	1	yes	characteristic
138	#15689002	C₂²	1	1	yes	characteristic
139	#15689002	C₂²	1	1	yes	characteristic
140	#15689002	C₂²	1	1	yes	characteristic
141	#15689002	C₂²	1	1	yes	characteristic
142	#15688997	C₂²	1	1	yes	characteristic
143	#15688997	C₂²	1	1	yes	characteristic
144	#15688996	C₂²	1	1	yes	characteristic
145	#15688996	C₂²	1	1	yes	characteristic
146	#15688996	C₂²	1	1	yes	characteristic
147	#15688996	C₂²	1	1	yes	characteristic
148	#15688996	C₂²	1	1	yes	characteristic
149	#15688996	C₂²	1	1	yes	characteristic
150	#15688996	C₂²	1	1	yes	characteristic
151	#15688996	C₂²	1	1	yes	characteristic
152	#15688996	C₂²	1	1	yes	characteristic
153	#15688996	C₂²	1	1	yes	characteristic
154	#15688996	C₂²	1	1	yes	characteristic
155	#15688996	C₂²	1	1	yes	characteristic
156	#15688991	C₂²	1	1	yes	characteristic
157	#15688990	C₂²	1	1	yes	characteristic
158	#15688990	C₂²	1	1	yes	characteristic
159	#15688989	C₂²	1	1	yes	characteristic
160	#15688987	C₂²	1	1	yes	characteristic
161	#15688987	C₂²	1	1	yes	characteristic
162	#15688985	C₂²	1	1	yes	characteristic
163	#15688983	C₂²	1	1	yes	characteristic
164	#15688983	C₂²	1	1	yes	characteristic
165	#15688983	C₂²	1	1	yes	characteristic
166	#15688983	C₂²	1	1	yes	characteristic
167	#15688983	C₂²	1	1	yes	characteristic
168	#15688982	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊Dic₄₇	C₂²	1	1	yes	characteristic
172	C₂³×Q₈×C₄₇	C₂²	1	1	yes	characteristic
173	C₂²×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
174	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic
175	C₄₇×#391	C₂²	1	1	yes	characteristic
176	C₄₇×#391	C₂²	1	1	yes	characteristic
177	C₄₇×#391	C₂²	1	1	yes	characteristic
178	C₄₇×#391	C₂²	1	1	yes	characteristic
179	C₄₇×#391	C₂²	1	1	yes	characteristic
180	C₄₇×#391	C₂²	1	1	yes	characteristic
181	C₄₇×#391	C₂²	1	1	yes	characteristic
182	C₄₇×#391	C₂²	1	1	yes	characteristic
183	C₂×#95×C₄₇	C₂²	1	1	yes	characteristic
184	C₂×#95×C₄₇	C₂²	1	1	yes	characteristic
185	C₂×#95×C₄₇	C₂²	1	1	yes	characteristic
186	C₂×#95×C₄₇	C₂²	1	1	yes	characteristic
187	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
190	#13094022	—	4	2	no	—
191	#13094022	—	4	2	no	—
192	#13094019	—	4	2	no	—
193	#13094018	—	4	2	no	—
194	#13094016	—	4	2	no	—
195	#13094014	—	4	2	no	—
196	#13094003	—	2	4	no	—
197	#13094000	—	4	2	no	—
198	#13094000	—	4	2	no	—
199	C₄×C₂²⋊D₄₇	—	2	4	no	—
200	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
211	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
245	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
262	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
265	C₄₇⋊#95	C₂³	1	1	yes	characteristic
266	C₄₇⋊#95	C₂³	1	1	yes	characteristic
267	C₄₇⋊#95	C₂³	1	1	yes	characteristic
268	C₄₇⋊#95	C₂³	1	1	yes	characteristic
269	C₄₇⋊#95	C₂³	1	1	yes	characteristic
270	C₄₇⋊#95	C₂³	1	1	yes	characteristic
271	C₄₇⋊#95	C₂³	1	1	yes	characteristic
272	C₄₇⋊#95	C₂³	1	1	yes	characteristic
273	C₄₇⋊#95	C₂³	1	1	yes	characteristic
274	C₄₇⋊#95	C₂³	1	1	yes	characteristic
275	C₄₇⋊#95	C₂³	1	1	yes	characteristic
276	C₄₇⋊#95	C₂³	1	1	yes	characteristic
277	C₄₇⋊#95	C₂³	1	1	yes	characteristic
278	C₄₇⋊#95	C₂³	1	1	yes	characteristic
279	C₄₇⋊#95	C₂³	1	1	yes	characteristic
280	C₄₇⋊#95	C₂³	1	1	yes	characteristic
281	C₄₇⋊#95	C₂³	1	1	yes	characteristic
282	C₄₇⋊#95	C₂³	1	1	yes	characteristic
283	C₄₇⋊#95	C₂³	1	1	yes	characteristic
284	C₄₇⋊#95	C₂³	1	1	yes	characteristic
285	C₄₇⋊#95	C₂³	1	1	yes	characteristic
286	C₄₇⋊#95	C₂³	1	1	yes	characteristic
287	C₄₇⋊#95	C₂³	1	1	yes	characteristic
288	C₄₇⋊#95	C₂³	1	1	yes	characteristic
289	C₄₇⋊#95	C₂³	1	1	yes	characteristic
290	C₄₇⋊#95	C₂³	1	1	yes	characteristic
291	C₄₇⋊#95	C₂³	1	1	yes	characteristic
292	C₄₇⋊#95	C₂³	1	1	yes	characteristic
293	C₄₇⋊#95	C₂³	1	1	yes	characteristic
294	C₄₇⋊#95	C₂³	1	1	yes	characteristic
295	C₄₇⋊#95	C₂³	1	1	yes	characteristic
296	C₄₇⋊#95	C₂³	1	1	yes	characteristic
297	C₄₇⋊#95	C₂³	1	1	yes	characteristic
298	C₄₇⋊#95	C₂³	1	1	yes	characteristic
299	C₄₇⋊#95	C₂³	1	1	yes	characteristic
300	C₄₇⋊#95	C₂³	1	1	yes	characteristic
301	C₄₇⋊#95	C₂³	1	1	yes	characteristic
302	C₄₇⋊#95	C₂³	1	1	yes	characteristic
303	C₄₇⋊#95	C₂³	1	1	yes	characteristic
304	C₄₇⋊#95	C₂³	1	1	yes	characteristic
305	C₄₇⋊#95	C₂³	1	1	yes	characteristic
306	C₄₇⋊#95	C₂³	1	1	yes	characteristic
307	C₄₇⋊#95	C₂³	1	1	yes	characteristic
308	C₄₇⋊#95	C₂³	1	1	yes	characteristic
309	C₄₇⋊#95	C₂³	1	1	yes	characteristic
310	C₄₇⋊#95	C₂³	1	1	yes	characteristic
311	C₄₇⋊#95	C₂³	1	1	yes	characteristic
312	C₄₇⋊#95	C₂³	1	1	yes	characteristic
313	C₄₇⋊#95	C₂³	1	1	yes	characteristic
314	C₄₇⋊#95	C₂³	1	1	yes	characteristic
315	C₄₇⋊#95	C₂³	1	1	yes	characteristic
316	C₄₇⋊#95	C₂³	1	1	yes	characteristic
317	C₂²×Q₈×C₄₇	—	2	4	no	—
318	C₂²×Q₈×C₄₇	—	4	2	no	—
319	C₂²×Q₈×C₄₇	—	4	2	no	—
320	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
321	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
322	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
323	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
324	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₄₇	—	4	2	no	—
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₄₇	—	4	2	no	—
337	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
341	#95×C₄₇	C₂³	1	1	yes	characteristic
342	#95×C₄₇	C₂³	1	1	yes	characteristic
343	#95×C₄₇	C₂³	1	1	yes	characteristic
344	#95×C₄₇	C₂³	1	1	yes	characteristic
345	#95×C₄₇	C₂³	1	1	yes	characteristic
346	#95×C₄₇	C₂³	1	1	yes	characteristic
347	#95×C₄₇	C₂³	1	1	yes	characteristic
348	#95×C₄₇	C₂³	1	1	yes	characteristic
349	#95×C₄₇	C₂³	1	1	yes	characteristic
350	#95×C₄₇	C₂³	1	1	yes	characteristic
351	#95×C₄₇	C₂³	1	1	yes	characteristic
352	#95×C₄₇	C₂³	1	1	yes	characteristic
353	#95×C₄₇	C₂³	1	1	yes	characteristic
354	#95×C₄₇	C₂³	1	1	yes	characteristic
355	#95×C₄₇	C₂³	1	1	yes	characteristic
356	#95×C₄₇	C₂³	1	1	yes	characteristic
357	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
359	C₂×Q₈×C₄₇	—	2	2	no	—
360	C₂×Q₈×C₄₇	—	2	2	no	—
361	C₂×Q₈×C₄₇	—	2	2	no	—
362	C₂×Q₈×C₄₇	—	2	2	no	—
363	C₂×Q₈×C₄₇	—	2	2	no	—
364	C₂×Q₈×C₄₇	—	2	2	no	—
365	C₂×Q₈×C₄₇	—	2	2	no	—
366	C₂×Q₈×C₄₇	—	2	2	no	—
367	C₂×Q₈×C₄₇	—	4	1	no	—
368	C₂×Q₈×C₄₇	—	4	1	no	—
369	C₂×Q₈×C₄₇	—	4	1	no	—
370	C₂×Q₈×C₄₇	—	4	1	no	—
371	C₂×Q₈×C₄₇	—	4	16	no	—
372	C₂²×C₄×C₄₇	—	2	2	no	—
373	C₂²×C₄×C₄₇	—	2	2	no	—
374	C₂²×C₄×C₄₇	—	2	2	no	—
375	C₂²×C₄×C₄₇	—	2	2	no	—
376	C₂²×C₄×C₄₇	—	2	2	no	—
377	C₂²×C₄×C₄₇	—	2	2	no	—
378	C₂²×C₄×C₄₇	—	2	2	no	—
379	C₂²×C₄×C₄₇	—	2	2	no	—
380	C₂²×C₄×C₄₇	—	2	2	no	—
381	C₂²×C₄×C₄₇	—	4	1	no	—
382	C₂²×C₄×C₄₇	—	4	1	no	—
383	C₂²×C₄×C₄₇	—	4	1	no	—
384	C₂²×C₄×C₄₇	—	4	1	no	—
385	C₂²×C₄×C₄₇	—	4	1	no	—
386	C₂²×C₄×C₄₇	—	4	1	no	—
387	C₂²×C₄×C₄₇	—	4	1	no	—
388	C₂²×C₄×C₄₇	—	4	1	no	—
389	C₂²×C₄×C₄₇	—	4	1	no	—
390	C₂²×C₄×C₄₇	—	4	1	no	—
391	C₂²×C₄×C₄₇	—	4	1	no	—
392	C₂²×C₄×C₄₇	#41	1	4	yes	—
393	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
407	C₂×C₂²⋊D₄₇	—	2	2	no	—
408	C₂×C₂²⋊D₄₇	—	2	2	no	—
409	C₂×C₂²⋊D₄₇	—	2	2	no	—
410	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
425	C₂×C₄×D₄₇	—	2	2	no	—
426	C₂×C₄×D₄₇	—	4	1	no	—
427	C₂×C₄×D₄₇	—	4	1	no	—
428	C₂×Dic₉₄	—	2	2	no	—
429	C₂×Dic₉₄	—	4	1	no	—
430	C₂×Dic₉₄	—	4	1	no	—
431	C₄⋊C₄×C₄₇	—	2	2	no	—
432	C₄⋊C₄×C₄₇	—	2	2	no	—
433	C₄⋊C₄×C₄₇	—	4	1	no	—
434	C₄⋊C₄×C₄₇	—	4	1	no	—
435	C₄²×C₄₇	—	2	2	no	—
436	C₄²×C₄₇	—	2	2	no	—
437	C₄²×C₄₇	—	4	1	no	—
438	C₄²×C₄₇	—	4	1	no	—
439	C₂²⋊Dic₄₇	—	2	2	no	—
440	C₂²⋊Dic₄₇	—	2	2	no	—
441	C₂²⋊Dic₄₇	—	2	2	no	—
442	C₂²⋊Dic₄₇	—	2	2	no	—
443	C₂²⋊Dic₄₇	—	2	2	no	—
444	C₂²⋊Dic₄₇	—	2	2	no	—
445	C₂²⋊Dic₄₇	—	2	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	—	4	1	no	—
451	(C₂×D₄₇)⋊C₄	—	4	1	no	—
452	(C₂×D₄₇)⋊C₄	—	4	1	no	—
453	(C₂×D₄₇)⋊C₄	—	4	1	no	—
454	(C₂×D₄₇)⋊C₄	—	4	1	no	—
455	(C₂×D₄₇)⋊C₄	—	4	1	no	—
456	(C₂×D₄₇)⋊C₄	—	4	1	no	—
457	(C₂×D₄₇)⋊C₄	—	4	1	no	—
458	(C₂×D₄₇)⋊C₄	—	4	1	no	—
459	C₄⋊Dic₄₇	—	2	2	no	—
460	C₄⋊Dic₄₇	—	2	2	no	—
461	C₄⋊Dic₄₇	—	2	2	no	—
462	C₄⋊Dic₄₇	—	4	1	no	—
463	C₄⋊Dic₄₇	—	4	1	no	—
464	C₄⋊Dic₄₇	—	4	1	no	—
465	C₄⋊Dic₄₇	—	4	1	no	—
466	C₄⋊Dic₄₇	—	4	1	no	—
467	C₄⋊Dic₄₇	—	4	1	no	—
468	C₄⋊Dic₄₇	—	4	1	no	—
469	C₄⋊Dic₄₇	—	4	1	no	—
470	Dic₄₇⋊C₄	—	2	2	no	—
471	Dic₄₇⋊C₄	—	2	2	no	—
472	Dic₄₇⋊C₄	—	2	2	no	—
473	Dic₄₇⋊C₄	—	2	2	no	—
474	Dic₄₇⋊C₄	—	2	2	no	—
475	Dic₄₇⋊C₄	—	2	2	no	—
476	Dic₄₇⋊C₄	—	2	2	no	—
477	Dic₄₇⋊C₄	—	2	2	no	—
478	Dic₄₇⋊C₄	—	2	2	no	—
479	Dic₄₇⋊C₄	—	2	2	no	—
480	Dic₄₇⋊C₄	—	4	1	no	—
481	Dic₄₇⋊C₄	—	4	1	no	—
482	Dic₄₇⋊C₄	—	4	1	no	—
483	Dic₄₇⋊C₄	—	4	1	no	—
484	Dic₄₇⋊C₄	—	4	1	no	—
485	Dic₄₇⋊C₄	—	4	1	no	—
486	Dic₄₇⋊C₄	—	4	1	no	—
487	Dic₄₇⋊C₄	—	4	1	no	—
488	Dic₄₇⋊C₄	—	4	1	no	—
489	Dic₄₇⋊C₄	—	4	1	no	—
490	Dic₄₇⋊C₄	—	4	1	no	—
491	Dic₄₇⋊C₄	—	4	1	no	—
492	Dic₄₇⋊C₄	—	4	1	no	—
493	Dic₄₇⋊C₄	—	4	1	no	—
494	Dic₄₇⋊C₄	—	4	1	no	—
495	Dic₄₇⋊C₄	—	4	1	no	—
496	Dic₄₇⋊C₄	—	4	1	no	—
497	C₄×Dic₄₇	—	2	2	no	—
498	C₄×Dic₄₇	—	4	1	no	—
499	C₄×Dic₄₇	—	4	1	no	—
500	C₄×Dic₄₇	—	4	1	no	—
501	C₄×Dic₄₇	—	4	1	no	—
502	C₄×Dic₄₇	—	4	1	no	—
503	C₄×Dic₄₇	—	4	1	no	—
504	C₂³×C₄₇	—	2	1	no	—
505	C₂³×C₄₇	—	2	1	no	—
506	C₂³×C₄₇	—	2	1	no	—
507	C₂³×C₄₇	—	2	1	no	—
508	C₂³×C₄₇	C₂×#41	1	2	yes	—
509	C₂³×C₄₇	2₋¹⁺⁴	1	2	yes	—
510	C₂³×C₄₇	2₋¹⁺⁴	1	2	yes	—
511	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
512	C₂²×D₄₇	—	2	1	no	—
513	C₂²×D₄₇	—	2	1	no	—
514	C₂²×D₄₇	—	2	1	no	—
515	C₂²×D₄₇	—	2	1	no	—
516	C₂²×D₄₇	—	2	1	no	—
517	C₂²×D₄₇	—	2	1	no	—
518	C₂²×D₄₇	—	2	1	no	—
519	Q₈×C₄₇	—	4	4	no	—
520	Q₈×C₄₇	—	4	4	no	—
521	Q₈×C₄₇	—	4	4	no	—
522	Q₈×C₄₇	—	4	4	no	—
523	C₂×C₄×C₄₇	—	2	8	no	—
524	C₂×C₄×C₄₇	—	2	1	no	—
525	C₂×C₄×C₄₇	—	2	1	no	—
526	C₂×C₄×C₄₇	—	2	1	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	—	2	1	no	—
537	C₂×C₄×C₄₇	—	2	1	no	—
538	C₂×C₄×C₄₇	—	2	1	no	—
539	C₂×C₄×C₄₇	—	2	1	no	—
540	C₂×C₄×C₄₇	—	2	1	no	—
541	C₂×C₄×C₄₇	—	2	1	no	—
542	C₂×C₄×C₄₇	—	2	1	no	—
543	C₂×C₄×C₄₇	—	2	1	no	—
544	C₂×C₄×C₄₇	—	2	1	no	—
545	C₂×C₄×C₄₇	—	2	1	no	—
546	C₂×C₄×C₄₇	—	2	1	no	—
547	C₂×C₄×C₄₇	—	2	1	no	—
548	C₂×C₄×C₄₇	—	2	1	no	—
549	C₂×C₄×C₄₇	—	2	1	no	—
550	C₂×C₄×C₄₇	—	2	1	no	—
551	C₂×C₄×C₄₇	—	2	1	no	—
552	C₂×C₄×C₄₇	—	2	1	no	—
553	C₂×C₄×C₄₇	—	2	1	no	—
554	C₂×C₄×C₄₇	—	2	1	no	—
555	C₂×C₄×C₄₇	—	2	1	no	—
556	C₂×C₄×C₄₇	—	2	1	no	—
557	C₂×C₄×C₄₇	—	2	1	no	—
558	C₂×C₄×C₄₇	—	2	1	no	—
559	C₂×C₄×C₄₇	—	2	1	no	—
560	C₂×C₄×C₄₇	—	2	1	no	—
561	C₂×C₄×C₄₇	—	4	4	no	—
562	C₂×C₄×C₄₇	—	4	4	no	—
563	C₂×C₄×C₄₇	—	4	4	no	—
564	C₂×C₄×C₄₇	—	4	4	no	—
565	C₂×C₄×C₄₇	—	8	2	no	—
566	C₂×C₄×C₄₇	—	8	2	no	—
567	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
568	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
569	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
570	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
571	C₂×C₄×C₄₇	2₋¹⁺⁴	1	2	yes	—
572	C₂²⋊D₄₇	—	4	4	no	—
573	C₂×Dic₄₇	—	2	1	no	—
574	C₂×Dic₄₇	—	2	1	no	—
575	C₂×Dic₄₇	—	2	1	no	—
576	C₂×Dic₄₇	—	2	1	no	—
577	C₂×Dic₄₇	—	2	1	no	—
578	C₂×Dic₄₇	—	2	1	no	—
579	C₂×Dic₄₇	—	2	1	no	—
580	C₂×Dic₄₇	—	2	1	no	—
581	C₂×Dic₄₇	—	2	1	no	—
582	C₂×Dic₄₇	—	2	1	no	—
583	C₂×Dic₄₇	—	2	1	no	—
584	C₂×Dic₄₇	—	2	1	no	—
585	C₂×Dic₄₇	—	2	1	no	—
586	C₂×Dic₄₇	—	2	1	no	—
587	C₂×Dic₄₇	—	2	1	no	—
588	C₂×Dic₄₇	—	2	1	no	—
589	C₂×Dic₄₇	—	2	1	no	—
590	C₂×Dic₄₇	—	2	1	no	—
591	C₂×Dic₄₇	—	2	1	no	—
592	C₂×Dic₄₇	—	2	1	no	—
593	C₂×Dic₄₇	—	2	1	no	—
594	C₂×Dic₄₇	—	2	1	no	—
595	C₂×Dic₄₇	—	2	1	no	—
596	C₂×Dic₄₇	—	2	1	no	—
597	C₂×Dic₄₇	—	2	1	no	—
598	C₂×Dic₄₇	—	2	1	no	—
599	C₂×Dic₄₇	—	2	1	no	—
600	C₂×Dic₄₇	—	2	1	no	—
601	C₂×Dic₄₇	—	2	1	no	—
602	C₂×Dic₄₇	—	2	1	no	—
603	C₂×Dic₄₇	—	2	1	no	—
604	C₂×Dic₄₇	—	2	1	no	—
605	C₂×Dic₄₇	—	2	1	no	—
606	C₂×Dic₄₇	—	2	1	no	—
607	C₂×Dic₄₇	—	2	1	no	—
608	C₂×Dic₄₇	—	2	1	no	—
609	C₂×Dic₄₇	—	2	1	no	—
610	C₂×Dic₄₇	—	2	1	no	—
611	C₂×Dic₄₇	—	2	1	no	—
612	C₂×Dic₄₇	—	2	1	no	—
613	C₂×Dic₄₇	—	2	1	no	—
614	C₂×Dic₄₇	—	2	1	no	—
615	C₂×Dic₄₇	—	2	1	no	—
616	C₂×Dic₄₇	—	2	1	no	—
617	C₂×Dic₄₇	—	2	1	no	—
618	C₄×D₄₇	—	8	2	no	—
619	Dic₉₄	—	8	2	no	—
620	#36810	—	47	1	no	maximal, Sylow
621	C₂²×C₄₇	—	2	2	no	—
622	C₂²×C₄₇	—	2	2	no	—
623	C₂²×C₄₇	—	2	2	no	—
624	C₂²×C₄₇	—	2	2	no	—
625	C₂²×C₄₇	—	2	2	no	—
626	C₂²×C₄₇	—	2	2	no	—
627	C₂²×C₄₇	#541	1	4	yes	—
628	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
629	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
630	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
631	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
632	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
633	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
634	C₂²×C₄₇	#585	1	1	yes	characteristic
635	C₂×D₄₇	—	4	1	no	—
636	C₂×D₄₇	—	4	1	no	—
637	C₂×D₄₇	—	4	1	no	—
638	C₂×D₄₇	—	4	1	no	—
639	C₂×D₄₇	—	4	1	no	—
640	C₂×D₄₇	—	4	1	no	—
641	C₂×D₄₇	—	4	1	no	—
642	C₄×C₄₇	—	2	2	no	—
643	C₄×C₄₇	—	2	2	no	—
644	C₄×C₄₇	—	2	2	no	—
645	C₄×C₄₇	—	2	2	no	—
646	C₄×C₄₇	—	2	2	no	—
647	C₄×C₄₇	—	4	1	no	—
648	C₄×C₄₇	—	4	1	no	—
649	C₄×C₄₇	—	4	1	no	—
650	C₄×C₄₇	—	4	1	no	—
651	C₄×C₄₇	—	4	1	no	—
652	C₄×C₄₇	—	4	1	no	—
653	C₄×C₄₇	—	4	1	no	—
654	C₄×C₄₇	—	4	1	no	—
655	C₄×C₄₇	—	4	1	no	—
656	Dic₄₇	—	4	1	no	—
657	Dic₄₇	—	4	1	no	—
658	Dic₄₇	—	4	1	no	—
659	Dic₄₇	—	4	1	no	—
660	Dic₄₇	—	4	1	no	—
661	Dic₄₇	—	4	1	no	—
662	Dic₄₇	—	4	1	no	—
663	Dic₄₇	—	4	1	no	—
664	Dic₄₇	—	4	1	no	—
665	Dic₄₇	—	4	1	no	—
666	Dic₄₇	—	4	1	no	—
667	Dic₄₇	—	4	1	no	—
668	Dic₄₇	—	4	1	no	—
669	Dic₄₇	—	4	1	no	—
670	Dic₄₇	—	4	1	no	—
671	#2852	—	47	1	no	—
672	#2851	—	47	1	no	—
673	#2798	—	47	1	no	—
674	#2789	—	47	1	no	—
675	#2762	—	47	1	no	—
676	#2762	—	47	1	no	—
677	#2758	—	47	1	no	—
678	#2758	—	47	1	no	—
679	#2755	—	47	1	no	—
680	#2754	—	47	1	no	—
681	#2716	—	47	1	no	—
682	#2716	—	47	1	no	—
683	#2713	—	47	1	no	—
684	#2713	—	47	1	no	—
685	#2704	—	47	1	no	—
686	#2698	—	47	1	no	—
687	#2690	—	47	1	no	—
688	#2689	—	47	1	no	—
689	#2646	—	47	1	no	—
690	#2643	—	47	1	no	—
691	#2569	—	47	1	no	—
692	#2564	—	47	1	no	—
693	#2510	—	47	1	no	—
694	#2505	—	47	1	no	—
695	#2481	—	47	1	no	—
696	#2473	—	47	1	no	—
697	#2434	—	47	1	no	—
698	#2409	—	47	1	no	—
699	#2329	—	47	1	no	—
700	#2318	—	47	1	no	—
701	C₂×#391	D₄₇	1	1	yes	characteristic, complemented
702	C₂×C₄₇	—	2	4	no	—
703	C₂×C₄₇	C₂×#541	1	1	yes	characteristic
704	C₂×C₄₇	#3490	1	1	yes	characteristic
705	C₂×C₄₇	#3507	1	1	yes	characteristic
706	C₂×C₄₇	#3538	1	1	yes	characteristic
707	C₂×C₄₇	#3541	1	1	yes	characteristic
708	C₂×C₄₇	#3552	1	1	yes	characteristic
709	C₂×C₄₇	#3561	1	1	yes	characteristic
710	D₄₇	—	8	1	no	—
711	C₂³×Q₈	C₂×D₄₇	1	1	yes	characteristic
712	C₂×C₄⋊Q₈	—	47	1	no	—
713	C₂×C₄⋊Q₈	—	47	1	no	—
714	C₂×#126	—	47	1	no	—
715	C₂×#126	—	47	1	no	—
716	C₂×#125	—	47	1	no	—
717	C₂×#125	—	47	1	no	—
718	C₂×C₂²⋊Q₈	—	47	1	no	—
719	C₂×C₂²⋊Q₈	—	47	1	no	—
720	C₂×C₂²⋊Q₈	—	47	1	no	—
721	C₂×C₄×D₄	—	47	1	no	—
722	C₂²×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
723	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic
724	#401	—	47	1	no	—
725	#401	—	47	1	no	—
726	#400	—	47	1	no	—
727	#400	—	47	1	no	—
728	#400	—	47	1	no	—
729	#400	—	47	1	no	—
730	#400	—	47	1	no	—
731	#400	—	47	1	no	—
732	#400	—	47	1	no	—
733	#400	—	47	1	no	—
734	#400	—	47	1	no	—
735	#400	—	47	1	no	—
736	#400	—	47	1	no	—
737	#400	—	47	1	no	—
738	#400	—	47	1	no	—
739	#400	—	47	1	no	—
740	#400	—	47	1	no	—
741	#400	—	47	1	no	—
742	#400	—	47	1	no	—
743	#399	—	47	1	no	—
744	#398	—	47	1	no	—
745	#398	—	47	1	no	—
746	#398	—	47	1	no	—
747	#398	—	47	1	no	—
748	#398	—	47	1	no	—
749	#398	—	47	1	no	—
750	#398	—	47	1	no	—
751	#398	—	47	1	no	—
752	#398	—	47	1	no	—
753	#398	—	47	1	no	—
754	#397	—	47	1	no	—
755	#397	—	47	1	no	—
756	#397	—	47	1	no	—
757	#397	—	47	1	no	—
758	#397	—	47	1	no	—
759	#397	—	47	1	no	—
760	#396	—	47	1	no	—
761	#396	—	47	1	no	—
762	#395	—	47	1	no	—
763	#395	—	47	1	no	—
764	#395	—	47	1	no	—
765	#395	—	47	1	no	—
766	#395	—	47	1	no	—
767	#395	—	47	1	no	—
768	#395	—	47	1	no	—
769	#393	—	47	1	no	—
770	#393	—	47	1	no	—
771	#393	—	47	1	no	—
772	#391	—	47	1	no	—
773	#391	—	47	1	no	—
774	#391	—	47	1	no	—
775	#391	—	47	1	no	—
776	#391	—	47	1	no	—
777	#391	—	47	1	no	—
778	#391	C₂×D₄₇	1	1	yes	characteristic
779	#391	C₂×D₄₇	1	1	yes	characteristic
780	#391	C₂×D₄₇	1	1	yes	characteristic
781	#391	C₂×D₄₇	1	1	yes	characteristic
782	#391	C₂×D₄₇	1	1	yes	characteristic
783	#391	C₂×D₄₇	1	1	yes	characteristic
784	#391	C₂×D₄₇	1	1	yes	characteristic
785	#391	C₂×D₄₇	1	1	yes	characteristic
786	#389	—	47	1	no	—
787	#389	—	47	1	no	—
788	#389	—	47	1	no	—
789	#389	—	47	1	no	—
790	#389	—	47	1	no	—
791	#389	—	47	1	no	—
792	#388	—	47	1	no	—
793	#388	—	47	1	no	—
794	#388	—	47	1	no	—
795	#388	—	47	1	no	—
796	#388	—	47	1	no	—
797	#388	—	47	1	no	—
798	#388	—	47	1	no	—
799	#388	—	47	1	no	—
800	#387	—	47	1	no	—
801	#387	—	47	1	no	—
802	#387	—	47	1	no	—
803	#387	—	47	1	no	—
804	#387	—	47	1	no	—
805	#387	—	47	1	no	—
806	#387	—	47	1	no	—
807	#387	—	47	1	no	—
808	#387	—	47	1	no	—
809	#387	—	47	1	no	—
810	#387	—	47	1	no	—
811	#387	—	47	1	no	—
812	#387	—	47	1	no	—
813	#387	—	47	1	no	—
814	#387	—	47	1	no	—
815	#387	—	47	1	no	—
816	#387	—	47	1	no	—
817	#387	—	47	1	no	—
818	#387	—	47	1	no	—
819	#387	—	47	1	no	—
820	#387	—	47	1	no	—
821	#387	—	47	1	no	—
822	#387	—	47	1	no	—
823	#387	—	47	1	no	—
824	#387	—	47	1	no	—
825	#387	—	47	1	no	—
826	#386	—	47	1	no	—
827	#386	—	47	1	no	—
828	#386	—	47	1	no	—
829	#386	—	47	1	no	—
830	#386	—	47	1	no	—
831	#386	—	47	1	no	—
832	#385	—	47	1	no	—
833	#385	—	47	1	no	—
834	#385	—	47	1	no	—
835	#385	—	47	1	no	—
836	#385	—	47	1	no	—
837	#385	—	47	1	no	—
838	#385	—	47	1	no	—
839	#385	—	47	1	no	—
840	#385	—	47	1	no	—
841	#385	—	47	1	no	—
842	#385	—	47	1	no	—
843	#385	—	47	1	no	—
844	#385	—	47	1	no	—
845	#385	—	47	1	no	—
846	#383	—	47	1	no	—
847	#383	—	47	1	no	—
848	#383	—	47	1	no	—
849	#382	—	47	1	no	—
850	#382	—	47	1	no	—
851	#382	—	47	1	no	—
852	#381	—	47	1	no	—
853	#380	—	47	1	no	—
854	#380	—	47	1	no	—
855	#380	—	47	1	no	—
856	#380	—	47	1	no	—
857	#380	—	47	1	no	—
858	#380	—	47	1	no	—
859	C₄×C₂²⋊C₄	—	47	1	no	—
860	C₄×C₂²⋊C₄	—	47	1	no	—
861	C₄×C₂²⋊C₄	—	47	1	no	—
862	C₂×#95	C₂×D₄₇	1	1	yes	characteristic
863	C₂×#95	C₂×D₄₇	1	1	yes	characteristic
864	C₂×#95	C₂×D₄₇	1	1	yes	characteristic
865	C₂×#95	C₂×D₄₇	1	1	yes	characteristic
866	C₄₇	#36810	1	1	yes	characteristic, complemented, Sylow
867	C₂²×Q₈	—	2	4	no	—
868	C₂²×Q₈	—	4	2	no	—
869	C₂²×Q₈	—	4	2	no	—
870	C₂²×Q₈	—	47	1	no	—
871	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
872	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
873	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
874	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
875	C₂²×D₄	—	47	1	no	—
876	C₂³×C₄	—	47	1	no	—
877	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
878	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
879	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
880	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
881	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
882	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
883	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
884	C₄⋊Q₈	—	188	2	no	—
885	C₄⋊Q₈	—	188	2	no	—
886	#126	—	188	2	no	—
887	#126	—	188	2	no	—
888	#125	—	188	2	no	—
889	#125	—	188	2	no	—
890	C₂²⋊Q₈	—	94	4	no	—
891	C₂²⋊Q₈	—	188	2	no	—
892	C₂²⋊Q₈	—	188	2	no	—
893	C₄×D₄	—	94	4	no	—
894	C₂×C₄⋊C₄	—	4	2	no	—
895	C₂×C₄⋊C₄	—	47	1	no	—
896	C₂×C₄⋊C₄	—	47	1	no	—
897	C₂×C₄⋊C₄	—	47	1	no	—
898	C₂×C₄⋊C₄	—	47	1	no	—
899	C₂×C₄⋊C₄	—	47	1	no	—
900	C₂×C₄⋊C₄	—	47	1	no	—
901	C₂×C₄⋊C₄	—	47	1	no	—
902	C₂×C₄⋊C₄	—	47	1	no	—
903	C₂×C₄⋊C₄	—	47	1	no	—
904	C₂×C₄⋊C₄	—	47	1	no	—
905	C₂×C₄⋊C₄	—	47	1	no	—
906	C₂×C₄⋊C₄	—	47	1	no	—
907	C₂×C₄⋊C₄	—	47	1	no	—
908	C₂×C₄⋊C₄	—	47	1	no	—
909	C₂×C₄⋊C₄	—	47	1	no	—
910	C₂×C₄⋊C₄	—	47	1	no	—
911	C₂×C₄⋊C₄	—	47	1	no	—
912	C₂×C₄⋊C₄	—	47	1	no	—
913	C₂×C₄⋊C₄	—	47	1	no	—
914	C₂×C₄⋊C₄	—	47	1	no	—
915	C₂×C₄⋊C₄	—	47	1	no	—
916	C₂×C₄⋊C₄	—	47	1	no	—
917	C₂×C₄⋊C₄	—	47	1	no	—
918	C₂×C₄⋊C₄	—	47	1	no	—
919	C₂×C₄⋊C₄	—	47	1	no	—
920	C₂×C₄⋊C₄	—	47	1	no	—
921	C₂×C₄⋊C₄	—	47	1	no	—
922	C₂×C₄⋊C₄	—	47	1	no	—
923	C₂×C₄⋊C₄	—	47	1	no	—
924	C₂×C₄⋊C₄	—	47	1	no	—
925	C₂×C₄⋊C₄	—	47	1	no	—
926	C₂×C₄⋊C₄	—	47	1	no	—
927	C₂×C₄⋊C₄	—	47	1	no	—
928	C₂×C₄⋊C₄	—	47	1	no	—
929	C₂×C₄⋊C₄	—	47	1	no	—
930	C₂×C₄⋊C₄	—	47	1	no	—
931	C₂×C₄⋊C₄	—	47	1	no	—
932	C₂×C₄⋊C₄	—	47	1	no	—
933	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	—	47	1	no	—
938	C₂×C₂²⋊C₄	—	47	1	no	—
939	C₂×C₂²⋊C₄	—	47	1	no	—
940	C₂×C₂²⋊C₄	—	47	1	no	—
941	C₂×C₂²⋊C₄	—	47	1	no	—
942	C₂×C₂²⋊C₄	—	47	1	no	—
943	C₂×C₂²⋊C₄	—	47	1	no	—
944	C₂×C₂²⋊C₄	—	47	1	no	—
945	C₂×C₂²⋊C₄	—	47	1	no	—
946	C₂×C₂²⋊C₄	—	47	1	no	—
947	C₂×C₂²⋊C₄	—	47	1	no	—
948	C₂×C₂²⋊C₄	—	47	1	no	—
949	C₂×C₂²⋊C₄	—	47	1	no	—
950	C₂×C₂²⋊C₄	—	47	1	no	—
951	C₂×C₂²⋊C₄	—	47	1	no	—
952	C₂×C₂²⋊C₄	—	47	1	no	—
953	C₂×C₂²⋊C₄	—	47	1	no	—
954	C₂×C₂²⋊C₄	—	47	1	no	—
955	C₂×C₂²⋊C₄	—	47	1	no	—
956	C₂×C₂²⋊C₄	—	47	1	no	—
957	C₂×C₄²	—	4	2	no	—
958	C₂×C₄²	—	47	1	no	—
959	C₂×C₄²	—	47	1	no	—
960	C₂×C₄²	—	47	1	no	—
961	C₂×C₄²	—	47	1	no	—
962	C₂×C₄²	—	47	1	no	—
963	C₂×C₄²	—	47	1	no	—
964	C₂×C₄²	—	47	1	no	—
965	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
966	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
967	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
968	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
969	#95	—	47	1	no	—
970	#95	—	47	1	no	—
971	#95	—	47	1	no	—
972	#95	—	47	1	no	—
973	#95	—	47	1	no	—
974	#95	—	47	1	no	—
975	#95	—	47	1	no	—
976	#95	—	47	1	no	—
977	#95	—	47	1	no	—
978	#95	—	47	1	no	—
979	#95	—	47	1	no	—
980	#95	—	47	1	no	—
981	#95	—	47	1	no	—
982	#95	—	47	1	no	—
983	#95	—	47	1	no	—
984	#95	—	47	1	no	—
985	#95	—	47	1	no	—
986	#95	—	47	1	no	—
987	#95	—	47	1	no	—
988	#95	—	47	1	no	—
989	#95	—	47	1	no	—
990	#95	—	47	1	no	—
991	#95	—	47	1	no	—
992	#95	—	47	1	no	—
993	#95	—	47	1	no	—
994	#95	—	47	1	no	—
995	#95	—	47	1	no	—
996	#95	—	47	1	no	—
997	#95	—	47	1	no	—
998	#95	—	47	1	no	—
999	#95	—	47	1	no	—
1000	#95	—	47	1	no	—
1001	#95	—	47	1	no	—
1002	#95	—	47	1	no	—
1003	#95	—	47	1	no	—
1004	#95	—	47	1	no	—
1005	#95	—	47	1	no	—
1006	#95	—	47	1	no	—
1007	#95	—	47	1	no	—
1008	#95	—	47	1	no	—
1009	#95	—	47	1	no	—
1010	#95	—	47	1	no	—
1011	#95	—	47	1	no	—
1012	#95	—	47	1	no	—
1013	#95	—	47	1	no	—
1014	#95	—	47	1	no	—
1015	#95	—	47	1	no	—
1016	#95	—	47	1	no	—
1017	#95	—	47	1	no	—
1018	#95	—	47	1	no	—
1019	#95	—	47	1	no	—
1020	#95	—	47	1	no	—
1021	#95	C₂²×D₄₇	1	1	yes	characteristic
1022	#95	C₂²×D₄₇	1	1	yes	characteristic
1023	#95	C₂²×D₄₇	1	1	yes	characteristic
1024	#95	C₂²×D₄₇	1	1	yes	characteristic
1025	#95	C₂²×D₄₇	1	1	yes	characteristic
1026	#95	C₂²×D₄₇	1	1	yes	characteristic
1027	#95	C₂²×D₄₇	1	1	yes	characteristic
1028	#95	C₂²×D₄₇	1	1	yes	characteristic
1029	#95	C₂²×D₄₇	1	1	yes	characteristic
1030	#95	C₂²×D₄₇	1	1	yes	characteristic
1031	#95	C₂²×D₄₇	1	1	yes	characteristic
1032	#95	C₂²×D₄₇	1	1	yes	characteristic
1033	#95	C₂²×D₄₇	1	1	yes	characteristic
1034	#95	C₂²×D₄₇	1	1	yes	characteristic
1035	#95	C₂²×D₄₇	1	1	yes	characteristic
1036	#95	C₂²×D₄₇	1	1	yes	characteristic
1037	C₂⁴	—	47	1	no	—
1038	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1039	C₂×Q₈	—	2	2	no	—
1040	C₂×Q₈	—	2	2	no	—
1041	C₂×Q₈	—	2	2	no	—
1042	C₂×Q₈	—	2	2	no	—
1043	C₂×Q₈	—	2	2	no	—
1044	C₂×Q₈	—	2	2	no	—
1045	C₂×Q₈	—	2	2	no	—
1046	C₂×Q₈	—	2	2	no	—
1047	C₂×Q₈	—	4	1	no	—
1048	C₂×Q₈	—	4	1	no	—
1049	C₂×Q₈	—	4	1	no	—
1050	C₂×Q₈	—	4	1	no	—
1051	C₂×Q₈	—	4	16	no	—
1052	C₂×Q₈	—	94	2	no	—
1053	C₂×Q₈	—	188	1	no	—
1054	C₂×Q₈	—	188	1	no	—
1055	C₂×D₄	—	94	2	no	—
1056	C₂×D₄	—	94	2	no	—
1057	C₂×D₄	—	94	2	no	—
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	—	2	2	no	—
1066	C₂²×C₄	—	2	2	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	4	1	no	—
1073	C₂²×C₄	—	4	1	no	—
1074	C₂²×C₄	—	4	1	no	—
1075	C₂²×C₄	—	4	1	no	—
1076	C₂²×C₄	—	4	1	no	—
1077	C₂²×C₄	—	4	1	no	—
1078	C₂²×C₄	—	47	1	no	—
1079	C₂²×C₄	—	47	1	no	—
1080	C₂²×C₄	—	47	1	no	—
1081	C₂²×C₄	—	47	1	no	—
1082	C₂²×C₄	—	47	1	no	—
1083	C₂²×C₄	—	47	1	no	—
1084	C₂²×C₄	—	47	1	no	—
1085	C₂²×C₄	—	47	1	no	—
1086	C₂²×C₄	—	47	1	no	—
1087	C₂²×C₄	—	47	1	no	—
1088	C₂²×C₄	—	47	1	no	—
1089	C₂²×C₄	—	47	1	no	—
1090	C₂²×C₄	—	47	1	no	—
1091	C₂²×C₄	—	47	1	no	—
1092	C₂²×C₄	—	47	1	no	—
1093	C₂²×C₄	—	94	2	no	—
1094	C₂²×C₄	—	188	1	no	—
1095	C₂²×C₄	—	188	1	no	—
1096	C₂²×C₄	#10625350	1	4	yes	—
1097	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1098	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1111	C₄⋊C₄	—	2	2	no	—
1112	C₄⋊C₄	—	2	2	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	94	2	no	—
1116	C₄⋊C₄	—	94	2	no	—
1117	C₄⋊C₄	—	94	2	no	—
1118	C₄⋊C₄	—	94	2	no	—
1119	C₄⋊C₄	—	94	2	no	—
1120	C₄⋊C₄	—	94	2	no	—
1121	C₄⋊C₄	—	94	2	no	—
1122	C₄⋊C₄	—	94	2	no	—
1123	C₄⋊C₄	—	94	2	no	—
1124	C₄⋊C₄	—	94	2	no	—
1125	C₄⋊C₄	—	94	2	no	—
1126	C₄⋊C₄	—	94	2	no	—
1127	C₄⋊C₄	—	94	2	no	—
1128	C₄⋊C₄	—	188	1	no	—
1129	C₄⋊C₄	—	188	1	no	—
1130	C₄⋊C₄	—	188	1	no	—
1131	C₄⋊C₄	—	188	1	no	—
1132	C₄⋊C₄	—	188	1	no	—
1133	C₄⋊C₄	—	188	1	no	—
1134	C₄⋊C₄	—	188	1	no	—
1135	C₄⋊C₄	—	188	1	no	—
1136	C₄⋊C₄	—	188	1	no	—
1137	C₄⋊C₄	—	188	1	no	—
1138	C₄⋊C₄	—	188	1	no	—
1139	C₄⋊C₄	—	188	1	no	—
1140	C₄⋊C₄	—	188	1	no	—
1141	C₄⋊C₄	—	188	1	no	—
1142	C₄⋊C₄	—	188	1	no	—
1143	C₄⋊C₄	—	188	1	no	—
1144	C₄⋊C₄	—	188	1	no	—
1145	C₄⋊C₄	—	188	1	no	—
1146	C₄⋊C₄	—	188	1	no	—
1147	C₄⋊C₄	—	188	1	no	—
1148	C₄⋊C₄	—	188	1	no	—
1149	C₄⋊C₄	—	188	1	no	—
1150	C₄⋊C₄	—	188	1	no	—
1151	C₄⋊C₄	—	188	1	no	—
1152	C₄⋊C₄	—	188	1	no	—
1153	C₂²⋊C₄	—	94	2	no	—
1154	C₂²⋊C₄	—	94	2	no	—
1155	C₂²⋊C₄	—	94	2	no	—
1156	C₂²⋊C₄	—	94	2	no	—
1157	C₂²⋊C₄	—	94	2	no	—
1158	C₂²⋊C₄	—	94	2	no	—
1159	C₂²⋊C₄	—	94	2	no	—
1160	C₂²⋊C₄	—	94	2	no	—
1161	C₂²⋊C₄	—	94	2	no	—
1162	C₂²⋊C₄	—	94	2	no	—
1163	C₂²⋊C₄	—	94	2	no	—
1164	C₂²⋊C₄	—	188	1	no	—
1165	C₂²⋊C₄	—	188	1	no	—
1166	C₂²⋊C₄	—	188	1	no	—
1167	C₂²⋊C₄	—	188	1	no	—
1168	C₂²⋊C₄	—	188	1	no	—
1169	C₂²⋊C₄	—	188	1	no	—
1170	C₂²⋊C₄	—	188	1	no	—
1171	C₂²⋊C₄	—	188	1	no	—
1172	C₂²⋊C₄	—	188	1	no	—
1173	C₄²	—	2	2	no	—
1174	C₄²	—	2	2	no	—
1175	C₄²	—	4	1	no	—
1176	C₄²	—	4	1	no	—
1177	C₄²	—	94	2	no	—
1178	C₄²	—	188	1	no	—
1179	C₄²	—	188	1	no	—
1180	C₄²	—	188	1	no	—
1181	C₄²	—	188	1	no	—
1182	C₄²	—	188	1	no	—
1183	C₄²	—	188	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	94	1	no	—
1189	C₂³	—	94	1	no	—
1190	C₂³	—	94	1	no	—
1191	C₂³	—	94	1	no	—
1192	C₂³	—	94	1	no	—
1193	C₂³	—	94	1	no	—
1194	C₂³	—	94	1	no	—
1195	C₂³	C₂×#10625350	1	2	yes	—
1196	C₂³	#13094071	1	2	yes	—
1197	C₂³	#13094072	1	2	yes	—
1198	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1199	Q₈	—	4	4	no	—
1200	Q₈	—	4	4	no	—
1201	Q₈	—	4	4	no	—
1202	Q₈	—	4	4	no	—
1203	Q₈	—	376	2	no	—
1204	D₄	—	188	4	no	—
1205	C₂×C₄	—	2	8	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	4	4	no	—
1244	C₂×C₄	—	4	4	no	—
1245	C₂×C₄	—	4	4	no	—
1246	C₂×C₄	—	4	4	no	—
1247	C₂×C₄	—	8	2	no	—
1248	C₂×C₄	—	8	2	no	—
1249	C₂×C₄	—	94	1	no	—
1250	C₂×C₄	—	94	1	no	—
1251	C₂×C₄	—	94	1	no	—
1252	C₂×C₄	—	94	1	no	—
1253	C₂×C₄	—	94	1	no	—
1254	C₂×C₄	—	94	1	no	—
1255	C₂×C₄	—	94	1	no	—
1256	C₂×C₄	—	94	1	no	—
1257	C₂×C₄	—	94	1	no	—
1258	C₂×C₄	—	94	1	no	—
1259	C₂×C₄	—	94	1	no	—
1260	C₂×C₄	—	94	1	no	—
1261	C₂×C₄	—	94	1	no	—
1262	C₂×C₄	—	94	1	no	—
1263	C₂×C₄	—	94	1	no	—
1264	C₂×C₄	—	94	1	no	—
1265	C₂×C₄	—	94	1	no	—
1266	C₂×C₄	—	94	1	no	—
1267	C₂×C₄	—	94	1	no	—
1268	C₂×C₄	—	94	1	no	—
1269	C₂×C₄	—	94	1	no	—
1270	C₂×C₄	—	94	1	no	—
1271	C₂×C₄	—	94	1	no	—
1272	C₂×C₄	—	94	1	no	—
1273	C₂×C₄	—	94	1	no	—
1274	C₂×C₄	—	94	1	no	—
1275	C₂×C₄	—	94	1	no	—
1276	C₂×C₄	—	94	1	no	—
1277	C₂×C₄	—	94	1	no	—
1278	C₂×C₄	—	94	1	no	—
1279	C₂×C₄	—	94	1	no	—
1280	C₂×C₄	—	94	1	no	—
1281	C₂×C₄	—	94	1	no	—
1282	C₂×C₄	—	94	1	no	—
1283	C₂×C₄	—	94	1	no	—
1284	C₂×C₄	—	94	1	no	—
1285	C₂×C₄	—	94	1	no	—
1286	C₂×C₄	—	94	1	no	—
1287	C₂×C₄	—	94	1	no	—
1288	C₂×C₄	—	94	1	no	—
1289	C₂×C₄	—	94	1	no	—
1290	C₂×C₄	—	94	1	no	—
1291	C₂×C₄	—	94	1	no	—
1292	C₂×C₄	—	94	1	no	—
1293	C₂×C₄	—	94	1	no	—
1294	C₂×C₄	—	376	2	no	—
1295	C₂×C₄	C₂×#10625350	1	2	yes	—
1296	C₂×C₄	C₂×#10625350	1	2	yes	—
1297	C₂×C₄	#13094069	1	2	yes	—
1298	C₂×C₄	#13094069	1	2	yes	—
1299	C₂×C₄	#13094072	1	2	yes	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	2	no	—
1306	C₂²	—	188	1	no	—
1307	C₂²	—	188	1	no	—
1308	C₂²	—	188	1	no	—
1309	C₂²	—	188	1	no	—
1310	C₂²	—	188	1	no	—
1311	C₂²	—	188	1	no	—
1312	C₂²	—	188	1	no	—
1313	C₂²	#15689731	1	4	yes	—
1314	C₂²	C₂²×#10625350	1	1	yes	characteristic
1315	C₂²	C₂×#13094069	1	1	yes	characteristic
1316	C₂²	C₂×#13094069	1	1	yes	characteristic
1317	C₂²	C₂×#13094071	1	1	yes	characteristic
1318	C₂²	C₂×#13094072	1	1	yes	characteristic
1319	C₂²	C₂×#13094072	1	1	yes	characteristic
1320	C₂²	#15689959	1	1	yes	characteristic
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	188	1	no	—
1336	C₄	—	188	1	no	—
1337	C₄	—	188	1	no	—
1338	C₄	—	188	1	no	—
1339	C₄	—	188	1	no	—
1340	C₄	—	188	1	no	—
1341	C₄	—	188	1	no	—
1342	C₄	—	188	1	no	—
1343	C₄	—	188	1	no	—
1344	C₄	—	188	1	no	—
1345	C₄	—	188	1	no	—
1346	C₄	—	188	1	no	—
1347	C₄	—	188	1	no	—
1348	C₄	—	188	1	no	—
1349	C₄	—	188	1	no	—
1350	C₂	—	2	4	no	—
1351	C₂	—	376	1	no	—
1352	C₂	C₂×#15689731	1	1	yes	characteristic
1353	C₂	#20257077	1	1	yes	characteristic
1354	C₂	#20257253	1	1	yes	characteristic
1355	C₂	#20257633	1	1	yes	characteristic
1356	C₂	#20257685	1	1	yes	characteristic
1357	C₂	#20257829	1	1	yes	characteristic
1358	C₂	#20257960	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₂×C₄₇×#391	C₂
prime radical	C₂²×C₂²⋊D₄₇	C₂³
hypercenter	C₂×#391	D₄₇
hypocenter	C₄₇	#36810
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×#391

Complements

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

N	H ≅ G/N	type
2. #20251698	C₂	semidirect
3. #20251260	C₂	semidirect
4. #20251146	C₂	semidirect
5. #20250790	C₂	semidirect
6. #20250784	C₂	semidirect
7. #20250740	C₂	semidirect
8. #20250734	C₂	semidirect
9. #20250689	C₂	semidirect
10. #20250680	C₂	semidirect
11. #20250214	C₂	semidirect
12. #20250209	C₂	semidirect
13. #20250169	C₂	semidirect
14. #20250164	C₂	semidirect
15. #20250049	C₂	semidirect
16. #20249965	C₂	semidirect
17. #20249849	C₂	semidirect
18. #20249834	C₂	semidirect
19. #20249358	C₂	semidirect
21. #20248612	C₂	semidirect
24. #20247889	C₂	semidirect
26. #20247523	C₂	semidirect
27. #20247028	C₂	semidirect
29. #20246121	C₂	semidirect
31. C₂×C₄₇×#391	C₂	semidirect
701. C₂×#391	D₄₇	semidirect
866. C₄₇	#36810	semidirect

Maximal subgroups

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

subgroup	index
#20251703	2
#20251698	2
#20251260	2
#20251146	2
#20250790	2
#20250784	2
#20250740	2
#20250734	2
#20250689	2
#20250680	2
#20250214	2
#20250209	2
#20250169	2
#20250164	2
#20250049	2
#20249965	2
#20249849	2
#20249834	2
#20249358	2
#20249341	2
#20248612	2
#20248568	2
#20247948	2
#20247889	2
#20247643	2
#20247523	2
#20247028	2
#20246747	2
#20246121	2
#20246022	2
C₂×C₄₇×#391	2
#36810	47