Subgroups — #26389431

Order 12032.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20251773	C₂	1	1	yes	maximal, characteristic, complemented
2	#20251768	C₂	1	1	yes	maximal, characteristic, complemented
3	#20251726	C₂	1	1	yes	maximal, characteristic, complemented
4	#20251695	C₂	1	1	yes	maximal, characteristic, complemented
5	#20249588	C₂	1	1	yes	maximal, characteristic, complemented
6	#20249567	C₂	1	1	yes	maximal, characteristic, complemented
7	#20249562	C₂	1	1	yes	maximal, characteristic, complemented
8	#20248849	C₂	1	1	yes	maximal, characteristic, complemented
9	#20248842	C₂	1	1	yes	maximal, characteristic, complemented
10	#20248819	C₂	1	1	yes	maximal, characteristic, complemented
11	#20248812	C₂	1	1	yes	maximal, characteristic, complemented
12	#20248764	C₂	1	1	yes	maximal, characteristic, complemented
13	#20248736	C₂	1	1	yes	maximal, characteristic
14	#20248569	C₂	1	1	yes	maximal, characteristic
15	#20248395	C₂	1	1	yes	maximal, characteristic, complemented
16	#20248109	C₂	1	1	yes	maximal, characteristic, complemented
17	#20248077	C₂	1	1	yes	maximal, characteristic, complemented
18	#20247882	C₂	1	1	yes	maximal, characteristic, complemented
19	#20247530	C₂	1	1	yes	maximal, characteristic, complemented
20	#20247404	C₂	1	1	yes	maximal, characteristic, complemented
21	#20247363	C₂	1	1	yes	maximal, characteristic, complemented
22	#20247215	C₂	1	1	yes	maximal, characteristic
23	#20247192	C₂	1	1	yes	maximal, characteristic
24	#20246122	C₂	1	1	yes	maximal, characteristic, complemented
25	#20246115	C₂	1	1	yes	maximal, characteristic, complemented
26	#20246024	C₂	1	1	yes	maximal, characteristic
27	#20246019	C₂	1	1	yes	maximal, characteristic
28	#20245926	C₂	1	1	yes	maximal, characteristic, complemented
29	#387×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13093986	C₂	1	1	yes	maximal, characteristic
31	C₄₇×#2666	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094014	C₂²	1	1	yes	characteristic
33	C₂×#13094004	C₂²	1	1	yes	characteristic
34	C₂×#13094002	C₂²	1	1	yes	characteristic
35	C₂×#13094002	C₂²	1	1	yes	characteristic
36	C₂×#13094000	C₂²	1	1	yes	characteristic
37	C₂×Q₈×Dic₄₇	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
39	C₂×#13093986	C₂²	1	1	yes	characteristic
40	C₂×#13093986	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
45	#15689065	C₂²	1	1	yes	characteristic
46	#15689064	C₂²	1	1	yes	characteristic
47	#15689063	C₂²	1	1	yes	characteristic
48	#15689062	C₂²	1	1	yes	characteristic
49	#15689060	C₂²	1	1	yes	characteristic
50	#15689058	C₂²	1	1	yes	characteristic
51	#15689057	C₂²	1	1	yes	characteristic
52	#15689057	C₂²	1	1	yes	characteristic
53	#15689057	C₂²	1	1	yes	characteristic
54	#15689056	C₂²	1	1	yes	characteristic
55	#15689056	C₂²	1	1	yes	characteristic
56	#15689056	C₂²	1	1	yes	characteristic
57	#15689055	C₂²	1	1	yes	characteristic
58	#15689053	C₂²	1	1	yes	characteristic
59	#15689047	C₂²	1	1	yes	characteristic
60	#15689047	C₂²	1	1	yes	characteristic
61	#15689045	C₂²	1	1	yes	characteristic
62	#15689045	C₂²	1	1	yes	characteristic
63	#15689044	C₂²	1	1	yes	characteristic
64	#15689043	C₂²	1	1	yes	characteristic
65	#15689043	C₂²	1	1	yes	characteristic
66	#15689042	C₂²	1	1	yes	characteristic
67	#15689036	C₂²	1	1	yes	characteristic
68	#15689034	C₂²	1	1	yes	characteristic
69	#15689029	C₂²	1	1	yes	characteristic
70	#15689028	C₂²	1	1	yes	characteristic
71	#15689028	C₂²	1	1	yes	characteristic
72	#15689027	C₂²	1	1	yes	characteristic
73	#15689027	C₂²	1	1	yes	characteristic
74	#15689027	C₂²	1	1	yes	characteristic
75	#15689027	C₂²	1	1	yes	characteristic
76	#15689022	C₂²	1	1	yes	characteristic
77	#15689022	C₂²	1	1	yes	characteristic
78	#15689022	C₂²	1	1	yes	characteristic
79	#15689021	C₂²	1	1	yes	characteristic
80	#15689020	C₂²	1	1	yes	characteristic
81	#15689020	C₂²	1	1	yes	characteristic
82	#15689020	C₂²	1	1	yes	characteristic
83	#15689020	C₂²	1	1	yes	characteristic
84	#15689019	C₂²	1	1	yes	characteristic
85	#15689019	C₂²	1	1	yes	characteristic
86	#15689019	C₂²	1	1	yes	characteristic
87	#15689018	C₂²	1	1	yes	characteristic
88	#15689018	C₂²	1	1	yes	characteristic
89	#15689015	C₂²	1	1	yes	characteristic
90	#15689015	C₂²	1	1	yes	characteristic
91	#15689013	C₂²	1	1	yes	characteristic
92	#15689013	C₂²	1	1	yes	characteristic
93	#15689010	C₂²	1	1	yes	characteristic
94	#15689010	C₂²	1	1	yes	characteristic
95	#15689010	C₂²	1	1	yes	characteristic
96	#15689010	C₂²	1	1	yes	characteristic
97	#15689010	C₂²	1	1	yes	characteristic
98	#15689010	C₂²	1	1	yes	characteristic
99	#15689010	C₂²	1	1	yes	characteristic
100	#15689009	C₂²	1	1	yes	characteristic
101	#15689009	C₂²	1	1	yes	characteristic
102	#15689009	C₂²	1	1	yes	characteristic
103	#15689009	C₂²	1	1	yes	characteristic
104	#15689008	C₂²	1	1	yes	characteristic
105	#15689008	C₂²	1	1	yes	characteristic
106	#15689008	C₂²	1	1	yes	characteristic
107	#15689007	C₂²	1	1	yes	characteristic
108	#15689007	C₂²	1	1	yes	characteristic
109	#15689006	C₂²	1	1	yes	characteristic
110	#15689006	C₂²	1	1	yes	characteristic
111	#15689006	C₂²	1	1	yes	characteristic
112	#15689006	C₂²	1	1	yes	characteristic
113	#15689006	C₂²	1	1	yes	characteristic
114	#15689006	C₂²	1	1	yes	characteristic
115	#15689006	C₂²	1	1	yes	characteristic
116	#15689006	C₂²	1	1	yes	characteristic
117	#15689006	C₂²	1	1	yes	characteristic
118	#15689005	C₂²	1	1	yes	characteristic
119	#15689005	C₂²	1	1	yes	characteristic
120	#15689004	C₂²	1	1	yes	characteristic
121	#15689004	C₂²	1	1	yes	characteristic
122	#15689004	C₂²	1	1	yes	characteristic
123	#15689001	C₂²	1	1	yes	characteristic
124	#15689001	C₂²	1	1	yes	characteristic
125	#15689001	C₂²	1	1	yes	characteristic
126	#15689001	C₂²	1	1	yes	characteristic
127	#15688997	C₂²	1	1	yes	characteristic
128	#15688997	C₂²	1	1	yes	characteristic
129	#15688997	C₂²	1	1	yes	characteristic
130	#15688997	C₂²	1	1	yes	characteristic
131	#15688997	C₂²	1	1	yes	characteristic
132	#15688997	C₂²	1	1	yes	characteristic
133	#15688997	C₂²	1	1	yes	characteristic
134	#15688997	C₂²	1	1	yes	characteristic
135	#15688994	C₂²	1	1	yes	characteristic
136	#15688994	C₂²	1	1	yes	characteristic
137	#15688994	C₂²	1	1	yes	characteristic
138	#15688994	C₂²	1	1	yes	characteristic
139	#15688994	C₂²	1	1	yes	characteristic
140	#15688994	C₂²	1	1	yes	characteristic
141	#15688994	C₂²	1	1	yes	characteristic
142	#15688994	C₂²	1	1	yes	characteristic
143	#15688991	C₂²	1	1	yes	characteristic
144	#15688989	C₂²	1	1	yes	characteristic
145	#15688987	C₂²	1	1	yes	characteristic
146	#15688985	C₂²	1	1	yes	characteristic
147	#15688985	C₂²	1	1	yes	characteristic
148	#15688982	C₂²	1	1	yes	characteristic
149	#15688982	C₂²	1	1	yes	characteristic
150	#15688980	C₂²	1	1	yes	characteristic
151	#15688980	C₂²	1	1	yes	characteristic
152	#15688980	C₂²	1	1	yes	characteristic
153	#15688980	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
155	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
156	C₄⋊C₄×Dic₄₇	C₂²	1	1	yes	characteristic
157	#15688974	C₂²	1	1	yes	characteristic
158	#15688974	C₂²	1	1	yes	characteristic
159	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×(C₂×D₄₇)⋊C₄	C₂²	1	1	yes	characteristic
161	#15688970	C₂²	1	1	yes	characteristic
162	#15688970	C₂²	1	1	yes	characteristic
163	#15688970	C₂²	1	1	yes	characteristic
164	#15688970	C₂²	1	1	yes	characteristic
165	#15688970	C₂²	1	1	yes	characteristic
166	#15688970	C₂²	1	1	yes	characteristic
167	#95×D₄₇	C₂²	1	1	yes	characteristic
168	#95×D₄₇	C₂²	1	1	yes	characteristic
169	#95×D₄₇	C₂²	1	1	yes	characteristic
170	#95×D₄₇	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₇	C₂²	1	1	yes	characteristic
172	C₄₇×#400	C₂²	1	1	yes	characteristic
173	C₄₇×#400	C₂²	1	1	yes	characteristic
174	C₄₇×#398	C₂²	1	1	yes	characteristic
175	C₄₇×#398	C₂²	1	1	yes	characteristic
176	C₄₇×#398	C₂²	1	1	yes	characteristic
177	C₄₇×#398	C₂²	1	1	yes	characteristic
178	C₄₇×#395	C₂²	1	1	yes	characteristic
179	C₄₇×#395	C₂²	1	1	yes	characteristic
180	C₄₇×#391	C₂²	1	1	yes	characteristic
181	C₄₇×#389	C₂²	1	1	yes	characteristic
182	C₄₇×#387	C₂²	1	1	yes	characteristic
183	C₄₇×#387	C₂²	1	1	yes	characteristic
184	C₄₇×#383	C₂²	1	1	yes	characteristic
185	C₄₇×#382	C₂²	1	1	yes	characteristic
186	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
187	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
188	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
189	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₇	C₂³	1	1	yes	characteristic
200	#13094014	—	4	2	no	—
201	#13094004	—	4	2	no	—
202	#13094002	—	2	4	no	—
203	#13094002	—	2	4	no	—
204	#13094000	—	2	4	no	—
205	Q₈×Dic₄₇	—	4	2	no	—
206	C₄×D₁₈₈	Q₈	1	8	yes	complemented
207	#13093986	—	2	4	no	—
208	#13093986	—	2	4	no	—
209	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₄₇	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×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₄⋊C₄×D₄₇	—	2	4	no	—
243	C₄⋊C₄×D₄₇	—	4	2	no	—
244	C₂×(C₂×D₄₇)⋊C₄	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×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₇)⋊C₄	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	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₇	C₂³	1	1	yes	characteristic
276	C₄²×D₄₇	—	4	2	no	—
277	C₄²×D₄₇	—	4	2	no	—
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	C₄₇⋊#95	C₂³	1	1	yes	characteristic
318	C₄₇⋊#95	C₂³	1	1	yes	characteristic
319	C₄₇⋊#95	C₂³	1	1	yes	characteristic
320	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
337	#95×C₄₇	C₂³	1	1	yes	characteristic
338	#95×C₄₇	C₂³	1	1	yes	characteristic
339	#95×C₄₇	C₂³	1	1	yes	characteristic
340	#95×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	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
356	C₂³×D₄₇	C₂⁴	1	1	yes	characteristic
357	C₂×Q₈×C₄₇	—	2	2	no	—
358	C₂×Q₈×C₄₇	—	4	1	no	—
359	C₂×Q₈×C₄₇	—	4	1	no	—
360	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
376	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
377	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
378	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
379	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
380	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₄₇	C₂⁴	1	1	yes	characteristic
389	C₂×D₁₈₈	—	2	2	no	—
390	C₂×D₁₈₈	—	2	2	no	—
391	C₂×D₁₈₈	C₂×Q₈	1	4	yes	—
392	C₂×C₄×D₄₇	—	2	2	no	—
393	C₂×C₄×D₄₇	—	2	2	no	—
394	C₂×C₄×D₄₇	—	2	2	no	—
395	C₂×C₄×D₄₇	—	2	2	no	—
396	C₂×C₄×D₄₇	—	2	2	no	—
397	C₂×C₄×D₄₇	—	2	2	no	—
398	C₂×C₄×D₄₇	—	2	2	no	—
399	C₂×C₄×D₄₇	—	2	2	no	—
400	C₂×C₄×D₄₇	—	2	2	no	—
401	C₂×C₄×D₄₇	—	4	1	no	—
402	C₂×C₄×D₄₇	—	4	1	no	—
403	C₂×C₄×D₄₇	—	4	1	no	—
404	C₂×C₄×D₄₇	—	4	1	no	—
405	C₂×C₄×D₄₇	—	4	1	no	—
406	C₂×C₄×D₄₇	—	4	1	no	—
407	C₂×C₄×D₄₇	—	4	1	no	—
408	C₂×C₄×D₄₇	—	4	1	no	—
409	C₂×C₄×D₄₇	—	4	1	no	—
410	C₂×C₄×D₄₇	—	4	1	no	—
411	C₂×C₄×D₄₇	—	4	1	no	—
412	C₂×C₄×D₄₇	—	4	1	no	—
413	C₂×C₄×D₄₇	—	4	1	no	—
414	C₂×C₄×D₄₇	—	4	1	no	—
415	C₂×C₄×D₄₇	—	4	1	no	—
416	C₂×C₄×D₄₇	—	4	1	no	—
417	C₂×C₄×D₄₇	—	4	1	no	—
418	C₂×C₄×D₄₇	—	4	1	no	—
419	C₂×C₄×D₄₇	C₂×Q₈	1	4	yes	—
420	C₂×C₄×D₄₇	C₂×Q₈	1	4	yes	—
421	C₂×C₄×D₄₇	#41	1	4	yes	—
422	C₂×Dic₉₄	—	2	2	no	—
423	C₂×Dic₉₄	—	2	2	no	—
424	C₂×Dic₉₄	—	4	1	no	—
425	C₂×Dic₉₄	—	4	1	no	—
426	C₂×Dic₉₄	—	4	1	no	—
427	C₂×Dic₉₄	—	4	1	no	—
428	C₄⋊C₄×C₄₇	—	2	2	no	—
429	C₄⋊C₄×C₄₇	—	2	2	no	—
430	C₄⋊C₄×C₄₇	—	2	2	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	C₄⋊C₄×C₄₇	—	4	1	no	—
436	C₄⋊C₄×C₄₇	—	4	1	no	—
437	C₄⋊C₄×C₄₇	—	4	1	no	—
438	C₄⋊C₄×C₄₇	—	4	1	no	—
439	C₄⋊C₄×C₄₇	—	4	1	no	—
440	C₄⋊C₄×C₄₇	—	4	1	no	—
441	C₄²×C₄₇	—	4	1	no	—
442	C₄²×C₄₇	—	4	1	no	—
443	C₄²×C₄₇	C₂×Q₈	1	4	yes	—
444	(C₂×D₄₇)⋊C₄	—	2	2	no	—
445	(C₂×D₄₇)⋊C₄	—	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	—	2	2	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	(C₂×D₄₇)⋊C₄	C₂×Q₈	1	4	yes	—
460	(C₂×D₄₇)⋊C₄	C₂×Q₈	1	4	yes	—
461	(C₂×D₄₇)⋊C₄	#41	1	4	yes	—
462	C₄⋊Dic₄₇	—	2	2	no	—
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	—	4	1	no	—
468	C₄⋊Dic₄₇	—	4	1	no	—
469	C₄⋊Dic₄₇	—	4	1	no	—
470	C₄⋊Dic₄₇	—	4	1	no	—
471	C₄⋊Dic₄₇	—	4	1	no	—
472	C₄⋊Dic₄₇	—	4	1	no	—
473	C₄⋊Dic₄₇	—	4	1	no	—
474	C₄⋊Dic₄₇	C₂×Q₈	1	4	yes	—
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	—	2	2	no	—
481	Dic₄₇⋊C₄	—	2	2	no	—
482	Dic₄₇⋊C₄	—	2	2	no	—
483	Dic₄₇⋊C₄	—	2	2	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	C₄×Dic₄₇	—	2	2	no	—
496	C₄×Dic₄₇	—	2	2	no	—
497	C₄×Dic₄₇	—	2	2	no	—
498	C₄×Dic₄₇	—	2	2	no	—
499	C₄×Dic₄₇	—	2	2	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	C₄×Dic₄₇	—	4	1	no	—
505	C₄×Dic₄₇	—	4	1	no	—
506	C₄×Dic₄₇	—	4	1	no	—
507	C₄×Dic₄₇	—	4	1	no	—
508	C₄×Dic₄₇	—	4	1	no	—
509	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
510	C₂²×D₄₇	—	2	1	no	—
511	C₂²×D₄₇	—	2	1	no	—
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	C₂²×D₄₇	—	2	1	no	—
520	C₂²×D₄₇	C₂²×Q₈	1	2	yes	—
521	C₂²×D₄₇	C₂²×Q₈	1	2	yes	—
522	C₂²×D₄₇	C₂×#41	1	2	yes	—
523	C₂²×D₄₇	C₂×#41	1	2	yes	—
524	Q₈×C₄₇	—	4	4	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	—	2	1	no	—
562	C₂×C₄×C₄₇	—	2	1	no	—
563	C₂×C₄×C₄₇	—	2	1	no	—
564	C₂×C₄×C₄₇	—	2	1	no	—
565	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
566	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
567	C₂×C₄×C₄₇	C₂²×Q₈	1	2	yes	—
568	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
569	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
570	C₂×Dic₄₇	—	2	1	no	—
571	C₂×Dic₄₇	—	2	1	no	—
572	C₂×Dic₄₇	—	2	1	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	C₂²×Q₈	1	2	yes	—
608	C₂×Dic₄₇	C₂²×Q₈	1	2	yes	—
609	C₂×Dic₄₇	C₂×#41	1	2	yes	—
610	C₂×Dic₄₇	C₂×#41	1	2	yes	—
611	C₂×Dic₄₇	H(5,𝔽₂)	1	2	yes	—
612	D₁₈₈	—	2	8	no	—
613	C₄×D₄₇	—	4	4	no	—
614	C₄×D₄₇	—	4	4	no	—
615	C₄×D₄₇	—	4	4	no	—
616	C₄×D₄₇	—	4	4	no	—
617	C₄×D₄₇	—	4	4	no	—
618	C₄×D₄₇	—	4	4	no	—
619	C₄×D₄₇	—	4	4	no	—
620	C₄×D₄₇	—	4	4	no	—
621	C₄×D₄₇	—	8	2	no	—
622	C₄×D₄₇	—	8	2	no	—
623	Dic₉₄	—	8	2	no	—
624	Dic₉₄	—	8	2	no	—
625	#35018	—	47	1	no	maximal, Sylow
626	C₂²×C₄₇	C₂³×Q₈	1	1	yes	characteristic
627	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
628	C₂²×C₄₇	C₂²×#41	1	1	yes	characteristic
629	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
630	C₂²×C₄₇	#585	1	1	yes	characteristic
631	C₂²×C₄₇	#585	1	1	yes	characteristic
632	C₂²×C₄₇	#585	1	1	yes	characteristic
633	C₂×D₄₇	—	2	2	no	—
634	C₂×D₄₇	—	2	2	no	—
635	C₂×D₄₇	—	2	2	no	—
636	C₂×D₄₇	—	2	2	no	—
637	C₂×D₄₇	—	2	2	no	—
638	C₂×D₄₇	—	2	2	no	—
639	C₂×D₄₇	—	2	2	no	—
640	C₂×D₄₇	—	2	2	no	—
641	C₂×D₄₇	—	2	2	no	—
642	C₂×D₄₇	—	4	1	no	—
643	C₂×D₄₇	—	4	1	no	—
644	C₂×D₄₇	—	4	1	no	—
645	C₂×D₄₇	—	4	1	no	—
646	C₂×D₄₇	#533	1	4	yes	—
647	C₄×C₄₇	—	2	2	no	—
648	C₄×C₄₇	—	2	2	no	—
649	C₄×C₄₇	—	2	2	no	—
650	C₄×C₄₇	—	2	2	no	—
651	C₄×C₄₇	—	2	2	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	C₄×C₄₇	—	4	1	no	—
657	C₄×C₄₇	—	4	1	no	—
658	C₄×C₄₇	—	4	1	no	—
659	C₄×C₄₇	—	4	1	no	—
660	C₄×C₄₇	—	4	1	no	—
661	C₄×C₄₇	—	4	1	no	—
662	Dic₄₇	—	2	2	no	—
663	Dic₄₇	—	2	2	no	—
664	Dic₄₇	—	2	2	no	—
665	Dic₄₇	—	2	2	no	—
666	Dic₄₇	—	2	2	no	—
667	Dic₄₇	—	4	1	no	—
668	Dic₄₇	—	4	1	no	—
669	Dic₄₇	—	4	1	no	—
670	Dic₄₇	—	4	1	no	—
671	Dic₄₇	—	4	1	no	—
672	Dic₄₇	—	4	1	no	—
673	Dic₄₇	—	4	1	no	—
674	Dic₄₇	—	4	1	no	—
675	Dic₄₇	—	4	1	no	—
676	#2864	—	47	1	no	—
677	#2863	—	47	1	no	—
678	#2855	—	47	1	no	—
679	#2851	—	47	1	no	—
680	#2667	—	47	1	no	—
681	#2666	—	47	1	no	—
682	#2666	D₄₇	1	1	yes	characteristic, complemented
683	#2665	—	47	1	no	—
684	#2590	—	47	1	no	—
685	#2589	—	47	1	no	—
686	#2588	—	47	1	no	—
687	#2587	—	47	1	no	—
688	#2583	—	47	1	no	—
689	#2579	—	47	1	no	—
690	#2564	—	47	1	no	—
691	#2549	—	47	1	no	—
692	#2522	—	47	1	no	—
693	#2520	—	47	1	no	—
694	#2505	—	47	1	no	—
695	#2473	—	47	1	no	—
696	#2465	—	47	1	no	—
697	#2462	—	47	1	no	—
698	#2450	—	47	1	no	—
699	#2449	—	47	1	no	—
700	#2329	—	47	1	no	—
701	#2329	—	47	1	no	—
702	#2318	—	47	1	no	—
703	#2318	—	47	1	no	—
704	C₄×C₂²⋊Q₈	—	47	1	no	—
705	C₂×#387	—	47	1	no	—
706	C₄²×D₄	—	47	1	no	—
707	C₂×C₄₇	C₂×#533	1	1	yes	characteristic
708	C₂×C₄₇	#3455	1	1	yes	characteristic
709	C₂×C₄₇	#3459	1	1	yes	characteristic
710	C₂×C₄₇	#3501	1	1	yes	characteristic
711	C₂×C₄₇	#3504	1	1	yes	characteristic
712	C₂×C₄₇	#3513	1	1	yes	characteristic
713	C₂×C₄₇	#3521	1	1	yes	characteristic
714	D₄₇	—	2	4	no	—
715	D₄₇	—	4	2	no	—
716	C₂×#125	—	47	1	no	—
717	C₂×C₂²⋊Q₈	—	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×Q₈	—	47	1	no	—
722	C₂×C₄×D₄	—	47	1	no	—
723	C₂×C₄×D₄	—	47	1	no	—
724	C₂×C₄×D₄	—	47	1	no	—
725	C₂²×C₄⋊C₄	—	47	1	no	—
726	C₂²×C₄⋊C₄	—	47	1	no	—
727	C₂²×C₄²	—	47	1	no	—
728	C₂²×C₄²	—	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	C₂×D₄₇	1	1	yes	characteristic
734	#400	C₂×D₄₇	1	1	yes	characteristic
735	#399	—	47	1	no	—
736	#399	—	47	1	no	—
737	#398	—	47	1	no	—
738	#398	—	47	1	no	—
739	#398	—	47	1	no	—
740	#398	—	47	1	no	—
741	#398	—	47	1	no	—
742	#398	—	47	1	no	—
743	#398	—	47	1	no	—
744	#398	—	47	1	no	—
745	#398	C₂×D₄₇	1	1	yes	characteristic
746	#398	C₂×D₄₇	1	1	yes	characteristic
747	#398	C₂×D₄₇	1	1	yes	characteristic
748	#398	C₂×D₄₇	1	1	yes	characteristic
749	#396	—	47	1	no	—
750	#396	—	47	1	no	—
751	#396	—	47	1	no	—
752	#396	—	47	1	no	—
753	#395	—	47	1	no	—
754	#395	—	47	1	no	—
755	#395	—	47	1	no	—
756	#395	—	47	1	no	—
757	#395	C₂×D₄₇	1	1	yes	characteristic
758	#395	C₂×D₄₇	1	1	yes	characteristic
759	#393	—	47	1	no	—
760	#393	—	47	1	no	—
761	#391	—	47	1	no	—
762	#391	—	47	1	no	—
763	#391	—	47	1	no	—
764	#391	—	47	1	no	—
765	#391	—	47	1	no	—
766	#391	—	47	1	no	—
767	#391	—	47	1	no	—
768	#391	C₂×D₄₇	1	1	yes	characteristic
769	#389	—	47	1	no	—
770	#389	—	47	1	no	—
771	#389	—	47	1	no	—
772	#389	—	47	1	no	—
773	#389	—	47	1	no	—
774	#389	—	47	1	no	—
775	#389	—	47	1	no	—
776	#389	—	47	1	no	—
777	#389	—	47	1	no	—
778	#389	—	47	1	no	—
779	#389	—	47	1	no	—
780	#389	—	47	1	no	—
781	#389	—	47	1	no	—
782	#389	C₂×D₄₇	1	1	yes	characteristic
783	#388	—	47	1	no	—
784	#388	—	47	1	no	—
785	#388	—	47	1	no	—
786	#388	—	47	1	no	—
787	#387	—	47	1	no	—
788	#387	—	47	1	no	—
789	#387	—	47	1	no	—
790	#387	—	47	1	no	—
791	#387	—	47	1	no	—
792	#387	—	47	1	no	—
793	#387	—	47	1	no	—
794	#387	—	47	1	no	—
795	#387	—	47	1	no	—
796	#387	—	47	1	no	—
797	#387	—	47	1	no	—
798	#387	—	47	1	no	—
799	#387	—	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	C₂×D₄₇	1	1	yes	characteristic
818	#387	C₂×D₄₇	1	1	yes	characteristic
819	#386	—	47	1	no	—
820	#386	—	47	1	no	—
821	#386	—	47	1	no	—
822	#386	—	47	1	no	—
823	#385	—	47	1	no	—
824	#385	—	47	1	no	—
825	#385	—	47	1	no	—
826	#385	—	47	1	no	—
827	#385	—	47	1	no	—
828	#385	—	47	1	no	—
829	#385	—	47	1	no	—
830	#385	—	47	1	no	—
831	#385	—	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	#383	—	47	1	no	—
840	#383	C₂×D₄₇	1	1	yes	characteristic
841	#382	—	47	1	no	—
842	#382	—	47	1	no	—
843	#382	C₂×D₄₇	1	1	yes	characteristic
844	#381	—	47	1	no	—
845	#381	—	47	1	no	—
846	#380	—	47	1	no	—
847	#380	—	47	1	no	—
848	#380	—	47	1	no	—
849	#380	—	47	1	no	—
850	#380	—	47	1	no	—
851	#380	—	47	1	no	—
852	C₄×C₄⋊C₄	—	47	1	no	—
853	C₄×C₄⋊C₄	—	47	1	no	—
854	C₄×C₄⋊C₄	—	47	1	no	—
855	C₄×C₄⋊C₄	—	47	1	no	—
856	C₄×C₄⋊C₄	—	47	1	no	—
857	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
858	C₄×C₂²⋊C₄	—	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	C₄×C₂²⋊C₄	—	47	1	no	—
863	C₄×C₂²⋊C₄	—	47	1	no	—
864	C₄×C₂²⋊C₄	—	47	1	no	—
865	C₄×C₂²⋊C₄	—	47	1	no	—
866	C₂×#95	—	47	1	no	—
867	C₂×#95	—	47	1	no	—
868	C₂×#95	—	47	1	no	—
869	C₂×#95	—	47	1	no	—
870	C₄³	—	47	1	no	—
871	C₄₇	#35018	1	1	yes	characteristic, complemented, Sylow
872	C₂²×Q₈	—	47	1	no	—
873	C₂²×Q₈	—	47	1	no	—
874	C₂²×Q₈	C₂²×D₄₇	1	1	yes	characteristic
875	C₂²×D₄	—	47	1	no	—
876	C₂³×C₄	—	47	1	no	—
877	C₂³×C₄	—	47	1	no	—
878	C₂³×C₄	—	47	1	no	—
879	C₂³×C₄	—	47	1	no	—
880	C₂³×C₄	—	47	1	no	—
881	C₂³×C₄	—	47	1	no	—
882	C₂³×C₄	—	47	1	no	—
883	C₂³×C₄	—	47	1	no	—
884	C₂³×C₄	—	47	1	no	—
885	C₂³×C₄	—	47	1	no	—
886	#125	—	188	2	no	—
887	C₂²⋊Q₈	—	94	4	no	—
888	C₂²⋊Q₈	—	94	4	no	—
889	C₂²⋊Q₈	—	94	4	no	—
890	C₂²⋊Q₈	—	188	2	no	—
891	C₄×Q₈	—	188	2	no	—
892	C₄×D₄	—	47	8	no	—
893	C₄×D₄	—	94	4	no	—
894	C₄×D₄	—	94	4	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	—	94	4	no	—
929	C₂×C₄⋊C₄	—	188	2	no	—
930	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
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×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
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×C₂²⋊C₄	—	47	1	no	—
958	C₂×C₂²⋊C₄	—	47	1	no	—
959	C₂×C₂²⋊C₄	—	47	1	no	—
960	C₂×C₂²⋊C₄	—	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	—	47	1	no	—
966	C₂×C₄²	—	47	1	no	—
967	C₂×C₄²	—	47	1	no	—
968	C₂×C₄²	—	47	1	no	—
969	C₂×C₄²	—	47	1	no	—
970	C₂×C₄²	—	47	1	no	—
971	C₂×C₄²	—	47	1	no	—
972	C₂×C₄²	—	47	1	no	—
973	C₂×C₄²	—	47	1	no	—
974	C₂×C₄²	—	47	1	no	—
975	C₂×C₄²	—	188	2	no	—
976	C₂×C₄²	—	188	2	no	—
977	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
978	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
979	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
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	—	47	1	no	—
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	#95	C₂²×D₄₇	1	1	yes	characteristic
1038	#95	C₂²×D₄₇	1	1	yes	characteristic
1039	#95	C₂²×D₄₇	1	1	yes	characteristic
1040	C₂⁴	—	47	1	no	—
1041	C₂⁴	—	47	1	no	—
1042	C₂×Q₈	—	2	2	no	—
1043	C₂×Q₈	—	4	1	no	—
1044	C₂×Q₈	—	4	1	no	—
1045	C₂×Q₈	—	94	2	no	—
1046	C₂×Q₈	—	94	2	no	—
1047	C₂×Q₈	—	188	1	no	—
1048	C₂×Q₈	—	188	1	no	—
1049	C₂×Q₈	—	188	1	no	—
1050	C₂×Q₈	—	188	1	no	—
1051	C₂×D₄	—	47	4	no	—
1052	C₂×D₄	—	94	2	no	—
1053	C₂×D₄	—	94	2	no	—
1054	C₂²×C₄	—	47	1	no	—
1055	C₂²×C₄	—	47	1	no	—
1056	C₂²×C₄	—	47	1	no	—
1057	C₂²×C₄	—	47	1	no	—
1058	C₂²×C₄	—	47	1	no	—
1059	C₂²×C₄	—	47	4	no	—
1060	C₂²×C₄	—	47	4	no	—
1061	C₂²×C₄	—	47	4	no	—
1062	C₂²×C₄	—	47	1	no	—
1063	C₂²×C₄	—	47	1	no	—
1064	C₂²×C₄	—	47	1	no	—
1065	C₂²×C₄	—	47	1	no	—
1066	C₂²×C₄	—	47	1	no	—
1067	C₂²×C₄	—	47	1	no	—
1068	C₂²×C₄	—	47	1	no	—
1069	C₂²×C₄	—	47	1	no	—
1070	C₂²×C₄	—	47	1	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	C₂²×C₄	—	94	2	no	—
1080	C₂²×C₄	—	188	1	no	—
1081	C₂²×C₄	—	188	1	no	—
1082	C₂²×C₄	—	188	1	no	—
1083	C₂²×C₄	—	188	1	no	—
1084	C₂²×C₄	—	188	1	no	—
1085	C₂²×C₄	—	188	1	no	—
1086	C₂²×C₄	—	188	1	no	—
1087	C₂²×C₄	—	188	1	no	—
1088	C₂²×C₄	—	188	1	no	—
1089	C₂²×C₄	—	188	1	no	—
1090	C₂²×C₄	—	188	1	no	—
1091	C₂²×C₄	—	188	1	no	—
1092	C₂²×C₄	—	188	1	no	—
1093	C₂²×C₄	—	188	1	no	—
1094	C₂²×C₄	—	188	1	no	—
1095	C₂²×C₄	—	188	1	no	—
1096	C₂²×C₄	—	188	1	no	—
1097	C₂²×C₄	—	188	1	no	—
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	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1113	C₄⋊C₄	—	2	2	no	—
1114	C₄⋊C₄	—	2	2	no	—
1115	C₄⋊C₄	—	2	2	no	—
1116	C₄⋊C₄	—	2	2	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	47	4	no	—
1127	C₄⋊C₄	—	94	2	no	—
1128	C₄⋊C₄	—	94	2	no	—
1129	C₄⋊C₄	—	94	2	no	—
1130	C₄⋊C₄	—	94	2	no	—
1131	C₄⋊C₄	—	94	2	no	—
1132	C₄⋊C₄	—	94	2	no	—
1133	C₄⋊C₄	—	94	2	no	—
1134	C₄⋊C₄	—	94	2	no	—
1135	C₄⋊C₄	—	94	2	no	—
1136	C₄⋊C₄	—	94	2	no	—
1137	C₄⋊C₄	—	94	2	no	—
1138	C₄⋊C₄	—	94	2	no	—
1139	C₄⋊C₄	—	94	2	no	—
1140	C₄⋊C₄	—	94	2	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	C₄⋊C₄	—	188	1	no	—
1154	C₄⋊C₄	—	188	1	no	—
1155	C₄⋊C₄	—	188	1	no	—
1156	C₄⋊C₄	—	188	1	no	—
1157	C₄⋊C₄	—	188	1	no	—
1158	C₄⋊C₄	—	188	1	no	—
1159	C₂²⋊C₄	—	47	4	no	—
1160	C₂²⋊C₄	—	47	4	no	—
1161	C₂²⋊C₄	—	47	4	no	—
1162	C₂²⋊C₄	—	94	2	no	—
1163	C₂²⋊C₄	—	94	2	no	—
1164	C₂²⋊C₄	—	94	2	no	—
1165	C₂²⋊C₄	—	94	2	no	—
1166	C₂²⋊C₄	—	94	2	no	—
1167	C₂²⋊C₄	—	94	2	no	—
1168	C₂²⋊C₄	—	94	2	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	C₂²⋊C₄	—	188	1	no	—
1174	C₂²⋊C₄	—	188	1	no	—
1175	C₂²⋊C₄	—	188	1	no	—
1176	C₂²⋊C₄	—	188	1	no	—
1177	C₄²	—	4	1	no	—
1178	C₄²	—	4	1	no	—
1179	C₄²	—	94	2	no	—
1180	C₄²	—	94	2	no	—
1181	C₄²	—	94	2	no	—
1182	C₄²	—	94	2	no	—
1183	C₄²	—	94	2	no	—
1184	C₄²	—	188	1	no	—
1185	C₄²	—	188	1	no	—
1186	C₄²	—	188	1	no	—
1187	C₄²	—	188	1	no	—
1188	C₄²	—	188	1	no	—
1189	C₄²	—	188	1	no	—
1190	C₄²	—	188	1	no	—
1191	C₄²	—	188	1	no	—
1192	C₄²	—	188	1	no	—
1193	C₄²	Q₈×D₄₇	1	4	yes	—
1194	C₂³	—	47	2	no	—
1195	C₂³	—	47	2	no	—
1196	C₂³	—	47	2	no	—
1197	C₂³	—	47	2	no	—
1198	C₂³	—	94	1	no	—
1199	C₂³	—	94	1	no	—
1200	C₂³	—	94	1	no	—
1201	C₂³	—	94	1	no	—
1202	C₂³	—	94	1	no	—
1203	C₂³	—	94	1	no	—
1204	C₂³	—	94	1	no	—
1205	C₂³	—	94	1	no	—
1206	C₂³	—	94	1	no	—
1207	C₂³	—	94	1	no	—
1208	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1209	Q₈	—	4	4	no	—
1210	Q₈	—	376	2	no	—
1211	Q₈	—	376	2	no	—
1212	D₄	—	94	8	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	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	47	2	no	—
1254	C₂×C₄	—	47	2	no	—
1255	C₂×C₄	—	47	2	no	—
1256	C₂×C₄	—	47	2	no	—
1257	C₂×C₄	—	47	2	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	—	94	1	no	—
1295	C₂×C₄	—	376	2	no	—
1296	C₂×C₄	—	376	2	no	—
1297	C₂×C₄	—	188	4	no	—
1298	C₂×C₄	—	188	4	no	—
1299	C₂×C₄	—	188	4	no	—
1300	C₂×C₄	—	188	4	no	—
1301	C₂×C₄	—	188	4	no	—
1302	C₂×C₄	—	188	4	no	—
1303	C₂×C₄	—	188	4	no	—
1304	C₂×C₄	—	188	4	no	—
1305	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
1306	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
1307	C₂×C₄	C₂×Q₈×D₄₇	1	2	yes	—
1308	C₂×C₄	#41×D₄₇	1	2	yes	—
1309	C₂×C₄	#41×D₄₇	1	2	yes	—
1310	C₂²	—	47	4	no	—
1311	C₂²	—	94	2	no	—
1312	C₂²	—	94	2	no	—
1313	C₂²	—	94	2	no	—
1314	C₂²	—	94	2	no	—
1315	C₂²	—	94	2	no	—
1316	C₂²	—	94	2	no	—
1317	C₂²	—	94	2	no	—
1318	C₂²	—	94	2	no	—
1319	C₂²	—	94	2	no	—
1320	C₂²	—	188	1	no	—
1321	C₂²	—	188	1	no	—
1322	C₂²	—	188	1	no	—
1323	C₂²	—	188	1	no	—
1324	C₂²	C₂²×Q₈×D₄₇	1	1	yes	characteristic
1325	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1326	C₂²	C₂×#41×D₄₇	1	1	yes	characteristic
1327	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1328	C₂²	#15689958	1	1	yes	characteristic
1329	C₂²	#15689960	1	1	yes	characteristic
1330	C₂²	#15689960	1	1	yes	characteristic
1331	C₄	—	2	2	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	2	no	—
1335	C₄	—	2	2	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	4	1	no	—
1342	C₄	—	4	1	no	—
1343	C₄	—	4	1	no	—
1344	C₄	—	4	1	no	—
1345	C₄	—	4	1	no	—
1346	C₄	—	94	2	no	—
1347	C₄	—	94	2	no	—
1348	C₄	—	94	2	no	—
1349	C₄	—	94	2	no	—
1350	C₄	—	94	2	no	—
1351	C₄	—	188	1	no	—
1352	C₄	—	188	1	no	—
1353	C₄	—	188	1	no	—
1354	C₄	—	188	1	no	—
1355	C₄	—	188	1	no	—
1356	C₄	—	188	1	no	—
1357	C₄	—	188	1	no	—
1358	C₄	—	188	1	no	—
1359	C₄	—	188	1	no	—
1360	C₂	—	94	4	no	—
1361	C₂	—	188	2	no	—
1362	C₂	#533×D₄₇	1	1	yes	characteristic
1363	C₂	#20256779	1	1	yes	characteristic
1364	C₂	#20256799	1	1	yes	characteristic
1365	C₂	#20257190	1	1	yes	characteristic
1366	C₂	#20257211	1	1	yes	characteristic
1367	C₂	#20257318	1	1	yes	characteristic
1368	C₂	#20257454	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₇
commutator, socle, cosocle	C₂³×C₄₇	C₂⁵
Fitting	C₄₇×#2666	C₂
prime radical	C₂²×D₁₈₈	C₂³
hypercenter	#2666	D₄₇
hypocenter	C₄₇	#35018
LCS	G ▷ C₂³×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ #2666

Complements

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

N	H ≅ G/N	type
1. #20251773	C₂	semidirect
2. #20251768	C₂	semidirect
3. #20251726	C₂	semidirect
4. #20251695	C₂	semidirect
5. #20249588	C₂	semidirect
6. #20249567	C₂	semidirect
7. #20249562	C₂	semidirect
8. #20248849	C₂	semidirect
9. #20248842	C₂	semidirect
10. #20248819	C₂	semidirect
11. #20248812	C₂	semidirect
12. #20248764	C₂	semidirect
15. #20248395	C₂	semidirect
16. #20248109	C₂	semidirect
17. #20248077	C₂	semidirect
18. #20247882	C₂	semidirect
19. #20247530	C₂	semidirect
20. #20247404	C₂	semidirect
21. #20247363	C₂	semidirect
24. #20246122	C₂	semidirect
25. #20246115	C₂	semidirect
28. #20245926	C₂	semidirect
29. #387×D₄₇	C₂	semidirect
31. C₄₇×#2666	C₂	semidirect
206. C₄×D₁₈₈	Q₈	semidirect
682. #2666	D₄₇	semidirect
871. C₄₇	#35018	semidirect

Maximal subgroups

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

subgroup	index
#20251773	2
#20251768	2
#20251726	2
#20251695	2
#20249588	2
#20249567	2
#20249562	2
#20248849	2
#20248842	2
#20248819	2
#20248812	2
#20248764	2
#20248736	2
#20248569	2
#20248395	2
#20248109	2
#20248077	2
#20247882	2
#20247530	2
#20247404	2
#20247363	2
#20247215	2
#20247192	2
#20246122	2
#20246115	2
#20246024	2
#20246019	2
#20245926	2
#387×D₄₇	2
C₄×#13093986	2
C₄₇×#2666	2
#35018	47