Subgroups — #27092522

Order 12032.

2656 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20258163	C₂	1	2	yes	maximal, complemented
2	#20258156	C₂	1	1	yes	maximal, characteristic, complemented
3	#576×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
4	#20255187	C₂	1	1	yes	maximal, characteristic, complemented
5	#20255186	C₂	1	1	yes	maximal, characteristic, complemented
6	#20255185	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255176	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255175	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255170	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255169	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255152	C₂	1	2	yes	maximal, complemented
12	#20255151	C₂	1	2	yes	maximal, complemented
13	#20255149	C₂	1	2	yes	maximal, complemented
14	#20255149	C₂	1	2	yes	maximal, complemented
15	#20253868	C₂	1	1	yes	maximal, characteristic, complemented
16	#20253114	C₂	1	2	yes	maximal, complemented
17	#20253106	C₂	1	1	yes	maximal, characteristic, complemented
18	#472×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252756	C₂	1	2	yes	maximal, complemented
20	#20252742	C₂	1	2	yes	maximal, complemented
21	#20252300	C₂	1	1	yes	maximal, characteristic, complemented
22	#20252286	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3292	C₂	1	1	yes	maximal, characteristic, complemented
24	#15689958	C₂²	1	2	yes	complemented
25	H(5,𝔽₂)×D₄₇	C₂²	1	2	yes	complemented
26	#15689940	C₂²	1	1	yes	characteristic, complemented
27	#15689937	—	2	1	no	—
28	#15689937	C₂²	1	1	yes	characteristic, complemented
29	#15689935	C₂²	1	2	yes	complemented
30	#15689934	C₂²	1	2	yes	complemented
31	#15689934	C₂²	1	2	yes	complemented
32	#15689933	—	2	2	no	—
33	#15689933	—	2	2	no	—
34	#15689933	C₂²	1	2	yes	complemented
35	#15689933	C₂²	1	2	yes	complemented
36	#15689930	—	2	2	no	—
37	#15689930	C₂²	1	2	yes	complemented
38	#15689928	C₂²	1	1	yes	characteristic, complemented
39	#15689927	—	2	2	no	—
40	#15689927	—	2	2	no	—
41	#15689927	C₂²	1	2	yes	complemented
42	#15689927	C₂²	1	2	yes	complemented
43	#15689926	C₂²	1	2	yes	complemented
44	#15689926	C₂²	1	2	yes	complemented
45	#15689925	—	2	1	no	—
46	#15689925	C₂²	1	1	yes	characteristic, complemented
47	#15689924	—	2	2	no	—
48	#15689924	—	2	1	no	—
49	#15689924	—	2	1	no	—
50	#15689924	C₂²	1	1	yes	characteristic, complemented
51	#15689924	C₂²	1	2	yes	complemented
52	#15689924	C₂²	1	1	yes	characteristic, complemented
53	#15689920	—	2	2	no	—
54	#15689920	C₂²	1	1	yes	characteristic
55	#15689919	—	2	2	no	—
56	#15689919	—	2	2	no	—
57	#15689919	C₂²	1	2	yes	complemented
58	#15689919	C₂²	1	2	yes	complemented
59	C₂×#13094048	—	2	2	no	—
60	C₂×#13094048	C₂²	1	2	yes	complemented
61	AGL(1,ℤ/8)×D₄₇	—	2	2	no	—
62	AGL(1,ℤ/8)×D₄₇	—	2	2	no	—
63	AGL(1,ℤ/8)×D₄₇	C₂²	1	2	yes	complemented
64	AGL(1,ℤ/8)×D₄₇	C₂²	1	2	yes	complemented
65	C₂×#13094043	—	2	1	no	—
66	C₂×#13094043	C₂²	1	1	yes	characteristic, complemented
67	#135×D₄₇	—	2	1	no	—
68	#135×D₄₇	—	2	1	no	—
69	#135×D₄₇	C₂²	1	1	yes	characteristic
70	C₂×D₈×D₄₇	—	2	1	no	—
71	C₂×D₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
72	#15689888	C₂²	1	2	yes	complemented
73	#131×D₄₇	C₂²	1	1	yes	characteristic, complemented
74	#131×D₄₇	C₂²	1	1	yes	characteristic, complemented
75	#15689686	C₂²	1	2	yes	complemented
76	#15689511	C₂²	1	2	yes	complemented
77	#15689510	C₂²	1	2	yes	complemented
78	#15689507	C₂²	1	1	yes	characteristic, complemented
79	#15689506	C₂²	1	1	yes	characteristic, complemented
80	#15689498	C₂²	1	1	yes	characteristic, complemented
81	#15689399	C₂²	1	1	yes	characteristic, complemented
82	#15689398	C₂²	1	1	yes	characteristic, complemented
83	#15689394	C₂²	1	1	yes	characteristic, complemented
84	#15689393	C₂²	1	1	yes	characteristic, complemented
85	#15689392	C₂²	1	2	yes	complemented
86	#15689392	C₂²	1	2	yes	complemented
87	#15689391	C₂²	1	2	yes	complemented
88	#15689391	C₂²	1	2	yes	complemented
89	#15689390	C₂²	1	1	yes	characteristic, complemented
90	#15689390	C₂²	1	1	yes	characteristic, complemented
91	#15689390	C₂²	1	2	yes	complemented
92	#15689387	C₂²	1	2	yes	complemented
93	#15689386	C₂²	1	2	yes	complemented
94	#15689385	C₂²	1	2	yes	complemented
95	#15689385	C₂²	1	2	yes	complemented
96	#15689384	C₂²	1	2	yes	complemented
97	#15689384	C₂²	1	2	yes	complemented
98	#15689303	C₂²	1	2	yes	complemented
99	#15689302	C₂²	1	2	yes	complemented
100	#15689302	C₂²	1	2	yes	complemented
101	#15689301	C₂²	1	2	yes	complemented
102	#15689297	C₂²	1	2	yes	complemented
103	#15689297	C₂²	1	2	yes	complemented
104	#15689294	C₂²	1	2	yes	complemented
105	#15689294	C₂²	1	2	yes	complemented
106	#15689293	C₂²	1	2	yes	complemented
107	#15689291	C₂²	1	2	yes	complemented
108	#15689290	C₂²	1	2	yes	complemented
109	#15689290	C₂²	1	2	yes	complemented
110	#15689289	C₂²	1	2	yes	complemented
111	#15689289	C₂²	1	2	yes	complemented
112	#15689245	C₂²	1	1	yes	characteristic, complemented
113	#15689244	C₂²	1	1	yes	characteristic, complemented
114	#15689243	C₂²	1	2	yes	complemented
115	#15689242	C₂²	1	1	yes	characteristic, complemented
116	#15689242	C₂²	1	1	yes	characteristic, complemented
117	#15689242	C₂²	1	2	yes	complemented
118	#15689241	C₂²	1	1	yes	characteristic, complemented
119	#15689241	C₂²	1	1	yes	characteristic, complemented
120	#15689240	C₂²	1	1	yes	characteristic, complemented
121	#15689239	C₂²	1	1	yes	characteristic, complemented
122	#15689238	C₂²	1	1	yes	characteristic, complemented
123	#15689238	C₂²	1	1	yes	characteristic, complemented
124	#15689170	C₂²	1	1	yes	characteristic, complemented
125	#108×D₄₇	C₂²	1	1	yes	characteristic, complemented
126	#15689138	C₂²	1	1	yes	characteristic, complemented
127	#15689138	C₂²	1	2	yes	complemented
128	#15689138	C₂²	1	1	yes	characteristic, complemented
129	#15689104	C₂²	1	2	yes	complemented
130	#100×D₄₇	C₂²	1	2	yes	complemented
131	#15689077	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#576	C₂²	1	1	yes	characteristic, complemented
133	C₄₇×#576	C₂²	1	2	yes	complemented
134	C₄₇×#576	C₂²	1	1	yes	characteristic, complemented
135	C₄₇×#493	C₂²	1	1	yes	characteristic, complemented
136	C₄₇×#472	C₂²	1	1	yes	characteristic, complemented
137	C₄₇×#472	C₂²	1	1	yes	characteristic, complemented
138	C₄₇×#472	C₂²	1	2	yes	complemented
139	C₄₇×#453	C₂²	1	2	yes	complemented
140	C₄₇×#453	C₂²	1	2	yes	complemented
141	C₄₇×#443	C₂²	1	1	yes	characteristic, complemented
142	C₄₇×#443	C₂²	1	1	yes	characteristic, complemented
143	#13094071	—	2	2	no	—
144	#13094071	—	2	2	no	—
145	#13094071	C₂³	1	2	yes	complemented
146	#13094071	C₂³	1	2	yes	complemented
147	#13094070	—	2	2	no	—
148	#13094070	—	2	2	no	—
149	#13094070	C₂³	1	2	yes	—
150	#13094070	C₂³	1	2	yes	—
151	#13094069	—	2	2	no	—
152	#13094069	—	2	2	no	—
153	#13094069	—	2	2	no	—
154	#13094069	—	2	2	no	—
155	#13094069	—	4	2	no	—
156	#13094069	—	4	2	no	—
157	#13094069	C₂³	1	2	yes	—
158	#13094069	C₂³	1	2	yes	complemented
159	C₂×#10625352	—	2	2	no	—
160	C₂×#10625352	—	2	2	no	—
161	C₂×#10625352	—	4	2	no	—
162	C₂×#10625352	C₂³	1	2	yes	—
163	#41×D₄₇	—	2	2	no	—
164	#41×D₄₇	—	2	2	no	—
165	#41×D₄₇	—	2	2	no	—
166	#41×D₄₇	—	2	2	no	—
167	#41×D₄₇	C₂³	1	1	yes	characteristic
168	#41×D₄₇	C₂³	1	1	yes	characteristic
169	#41×D₄₇	C₂³	1	2	yes	—
170	C₂×D₄×D₄₇	—	2	2	no	—
171	C₂×D₄×D₄₇	—	2	2	no	—
172	C₂×D₄×D₄₇	—	4	2	no	—
173	C₂×D₄×D₄₇	C₂³	1	2	yes	—
174	#13094057	—	2	2	no	—
175	#13094057	—	2	2	no	—
176	#13094057	C₂³	1	2	yes	—
177	#13094057	C₂³	1	2	yes	complemented
178	#13094056	—	2	2	no	—
179	#13094056	D₄	1	1	yes	characteristic, complemented
180	#13094056	D₄	1	1	yes	characteristic, complemented
181	#13094054	—	2	2	no	—
182	#13094054	—	2	2	no	—
183	#13094054	C₂³	1	2	yes	—
184	#13094054	C₂³	1	2	yes	complemented
185	#13094053	—	2	2	no	—
186	#13094053	—	2	2	no	—
187	#13094053	—	2	2	no	—
188	#13094053	—	2	2	no	—
189	#13094053	—	2	2	no	—
190	#13094053	D₄	1	1	yes	characteristic, complemented
191	#13094053	D₄	1	1	yes	characteristic, complemented
192	#13094052	—	2	2	no	—
193	#13094052	—	2	2	no	—
194	#13094052	C₂³	1	2	yes	—
195	#13094052	C₂³	1	2	yes	complemented
196	#13094051	—	2	2	no	—
197	#13094051	—	2	2	no	—
198	#13094051	—	2	2	no	—
199	#13094051	—	2	2	no	—
200	#13094051	—	2	2	no	—
201	#13094051	D₄	1	1	yes	characteristic, complemented
202	#13094051	D₄	1	1	yes	characteristic, complemented
203	#13094050	—	2	2	no	—
204	#13094050	—	2	2	no	—
205	#13094050	—	2	2	no	—
206	#13094050	—	2	2	no	—
207	#13094050	C₂³	1	2	yes	—
208	#13094050	C₂³	1	2	yes	—
209	#13094050	C₂³	1	2	yes	complemented
210	#13094050	C₂³	1	2	yes	complemented
211	#13094049	—	2	2	no	—
212	#13094049	—	2	2	no	—
213	#13094049	C₂³	1	2	yes	—
214	#13094049	C₂³	1	2	yes	complemented
215	#13094048	—	2	2	no	—
216	#13094048	—	2	2	no	—
217	#13094048	—	2	2	no	—
218	#13094048	—	2	2	no	—
219	#13094048	—	2	2	no	—
220	#13094048	—	2	2	no	—
221	#13094048	—	2	2	no	—
222	#13094048	—	2	2	no	—
223	#13094048	—	2	2	no	—
224	#13094048	—	2	2	no	—
225	#13094048	—	2	2	no	—
226	#13094048	—	2	2	no	—
227	#13094048	—	2	2	no	—
228	#13094048	—	2	2	no	—
229	#13094048	—	2	2	no	—
230	#13094048	—	2	2	no	—
231	#13094048	—	2	2	no	—
232	#13094048	D₄	1	1	yes	characteristic, complemented
233	#13094048	D₄	1	1	yes	characteristic, complemented
234	#13094047	—	2	1	no	—
235	#13094047	D₄	1	1	yes	characteristic, complemented
236	#13094046	—	2	1	no	—
237	#13094046	—	2	1	no	—
238	#13094046	—	2	2	no	—
239	#13094046	C₂³	1	1	yes	characteristic
240	#13094046	C₂³	1	1	yes	characteristic
241	#13094045	—	2	2	no	—
242	#13094045	—	2	2	no	—
243	#13094045	—	2	2	no	—
244	#13094045	—	2	2	no	—
245	#13094045	—	2	2	no	—
246	#13094045	D₄	1	2	yes	complemented
247	#13094044	—	2	2	no	—
248	#13094044	—	2	2	no	—
249	#13094044	—	2	2	no	—
250	#13094044	—	2	2	no	—
251	#13094044	C₂³	1	1	yes	characteristic
252	#13094044	C₂³	1	1	yes	characteristic
253	#13094044	C₂³	1	2	yes	—
254	#13094043	—	2	2	no	—
255	#13094043	—	2	2	no	—
256	#13094043	—	2	1	no	—
257	#13094043	—	2	2	no	—
258	#13094043	—	2	2	no	—
259	#13094043	—	2	1	no	—
260	#13094043	—	2	1	no	—
261	#13094043	—	2	2	no	—
262	#13094043	—	2	1	no	—
263	#13094043	—	2	1	no	—
264	#13094043	—	2	1	no	—
265	#13094043	—	2	1	no	—
266	#13094043	D₄	1	1	yes	characteristic, complemented
267	C₂×Dic₁₈₈	—	2	1	no	—
268	C₂×Dic₁₈₈	C₂³	1	1	yes	characteristic, complemented
269	Q₁₆×D₄₇	—	2	1	no	—
270	Q₁₆×D₄₇	D₄	1	1	yes	characteristic, complemented
271	C₂×#10625325	—	2	2	no	—
272	C₂×#10625325	C₂³	1	2	yes	complemented
273	C₂×#10625335	—	2	2	no	—
274	C₂×#10625335	—	2	2	no	—
275	C₂×#10625335	C₂³	1	2	yes	complemented
276	C₂×#10625335	C₂³	1	2	yes	complemented
277	SD₁₆×D₄₇	—	2	2	no	—
278	SD₁₆×D₄₇	—	2	2	no	—
279	SD₁₆×D₄₇	—	2	2	no	—
280	SD₁₆×D₄₇	—	2	2	no	—
281	SD₁₆×D₄₇	—	2	2	no	—
282	SD₁₆×D₄₇	D₄	1	2	yes	complemented
283	C₂×D₃₇₆	—	2	1	no	—
284	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
285	C₂×#10625334	—	2	2	no	—
286	C₂×#10625334	—	2	2	no	—
287	C₂×#10625334	C₂³	1	2	yes	—
288	C₂×#10625334	C₂³	1	2	yes	complemented
289	D₈×D₄₇	—	2	2	no	—
290	D₈×D₄₇	—	2	2	no	—
291	D₈×D₄₇	—	2	1	no	—
292	D₈×D₄₇	—	2	2	no	—
293	D₈×D₄₇	—	2	2	no	—
294	D₈×D₄₇	—	2	1	no	—
295	D₈×D₄₇	—	2	1	no	—
296	D₈×D₄₇	—	2	2	no	—
297	D₈×D₄₇	—	2	1	no	—
298	D₈×D₄₇	—	2	1	no	—
299	D₈×D₄₇	—	2	1	no	—
300	D₈×D₄₇	—	2	1	no	—
301	D₈×D₄₇	D₄	1	1	yes	characteristic, complemented
302	#13094032	—	2	2	no	—
303	#13094032	—	2	1	no	—
304	#13094032	—	2	1	no	—
305	#13094032	C₂³	1	1	yes	characteristic
306	#13094032	C₂³	1	2	yes	complemented
307	#13094032	C₂³	1	1	yes	characteristic, complemented
308	#13094031	C₂³	1	1	yes	characteristic
309	#13094031	C₂³	1	2	yes	complemented
310	#13094031	C₂³	1	1	yes	characteristic, complemented
311	#13094030	—	2	2	no	—
312	#13094030	—	2	1	no	—
313	#13094030	—	2	1	no	—
314	#13094030	C₂³	1	1	yes	characteristic
315	#13094030	C₂³	1	1	yes	characteristic, complemented
316	#13094030	C₂³	1	2	yes	complemented
317	C₂×#10625324	—	2	2	no	—
318	C₂×#10625324	C₂³	1	1	yes	characteristic
319	M₁₆×D₄₇	—	2	2	no	—
320	M₁₆×D₄₇	—	2	1	no	—
321	M₁₆×D₄₇	—	2	1	no	—
322	M₁₆×D₄₇	C₂³	1	1	yes	characteristic
323	M₁₆×D₄₇	C₂³	1	2	yes	—
324	M₁₆×D₄₇	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₄₇	—	2	1	no	—
326	C₂×C₈×D₄₇	—	2	1	no	—
327	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
328	#13094020	C₂³	1	2	yes	complemented
329	#13094012	C₂³	1	2	yes	complemented
330	#13094011	C₂³	1	2	yes	complemented
331	#13093996	—	4	2	no	—
332	#13093992	—	4	2	no	—
333	#13093981	C₂³	1	1	yes	characteristic
334	#13093960	C₂³	1	1	yes	characteristic, complemented
335	#13093960	C₂³	1	1	yes	characteristic, complemented
336	#13093959	C₂³	1	1	yes	characteristic, complemented
337	#13093959	C₂³	1	1	yes	characteristic, complemented
338	#13093959	C₂³	1	2	yes	complemented
339	#13093952	C₂³	1	1	yes	characteristic
340	#13093952	C₂³	1	1	yes	characteristic, complemented
341	#13093952	C₂³	1	2	yes	complemented
342	#13093951	C₂³	1	1	yes	characteristic
343	#13093951	C₂³	1	1	yes	characteristic, complemented
344	#13093951	C₂³	1	2	yes	complemented
345	#13093950	C₂³	1	1	yes	characteristic
346	#13093950	C₂³	1	1	yes	characteristic, complemented
347	#13093950	C₂³	1	2	yes	complemented
348	#13093942	C₂³	1	2	yes	complemented
349	#13093942	C₂³	1	2	yes	complemented
350	#13093941	C₂³	1	2	yes	complemented
351	#13093941	C₂³	1	2	yes	complemented
352	#13093940	C₂³	1	2	yes	complemented
353	#13093940	C₂³	1	2	yes	complemented
354	#13093935	C₂³	1	1	yes	characteristic, complemented
355	#13093934	C₂³	1	1	yes	characteristic, complemented
356	C₈×Dic₄₇	C₂³	1	1	yes	characteristic, complemented
357	H(5,𝔽₂)×C₄₇	C₂³	1	2	yes	—
358	H(5,𝔽₂)×C₄₇	C₂³	1	2	yes	complemented
359	AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
360	AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
361	AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
362	AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
363	AGL(1,ℤ/8)×C₄₇	C₂³	1	2	yes	—
364	AGL(1,ℤ/8)×C₄₇	C₂³	1	2	yes	—
365	AGL(1,ℤ/8)×C₄₇	C₂³	1	2	yes	complemented
366	AGL(1,ℤ/8)×C₄₇	C₂³	1	2	yes	complemented
367	#135×C₄₇	—	2	1	no	—
368	#135×C₄₇	—	2	1	no	—
369	#135×C₄₇	—	2	2	no	—
370	#135×C₄₇	C₂³	1	1	yes	characteristic
371	#135×C₄₇	C₂³	1	1	yes	characteristic
372	C₂×D₈×C₄₇	—	2	1	no	—
373	C₂×D₈×C₄₇	—	2	1	no	—
374	C₂×D₈×C₄₇	—	2	2	no	—
375	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
376	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic, complemented
377	C₂×D₈×C₄₇	C₂³	1	2	yes	complemented
378	#131×C₄₇	C₂³	1	1	yes	characteristic
379	#131×C₄₇	C₂³	1	1	yes	characteristic, complemented
380	#131×C₄₇	C₂³	1	2	yes	complemented
381	#127×C₄₇	C₂³	1	2	yes	complemented
382	#108×C₄₇	C₂³	1	1	yes	characteristic, complemented
383	#108×C₄₇	C₂³	1	1	yes	characteristic, complemented
384	#104×C₄₇	C₂³	1	1	yes	characteristic
385	#104×C₄₇	C₂³	1	1	yes	characteristic, complemented
386	#104×C₄₇	C₂³	1	2	yes	complemented
387	#100×C₄₇	C₂³	1	2	yes	complemented
388	#100×C₄₇	C₂³	1	2	yes	complemented
389	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic, complemented
390	C₂³×D₄₇	—	2	2	no	—
391	C₂³×D₄₇	—	4	2	no	—
392	#41×C₄₇	—	2	2	no	—
393	#41×C₄₇	—	2	2	no	—
394	#41×C₄₇	—	2	2	no	—
395	#41×C₄₇	—	2	2	no	—
396	#41×C₄₇	C₂⁴	1	1	yes	characteristic
397	#41×C₄₇	C₂⁴	1	2	yes	—
398	#41×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₂×D₄×C₄₇	—	2	2	no	—
400	C₂×D₄×C₄₇	—	2	2	no	—
401	C₂×D₄×C₄₇	—	2	2	no	—
402	C₂×D₄×C₄₇	—	2	2	no	—
403	C₂×D₄×C₄₇	—	4	2	no	—
404	C₂×D₄×C₄₇	—	4	2	no	—
405	C₂×D₄×C₄₇	—	4	2	no	—
406	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
407	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
408	C₂×C₂²⋊D₄₇	—	2	2	no	—
409	C₂×C₂²⋊D₄₇	—	2	2	no	—
410	C₂×C₂²⋊D₄₇	—	4	2	no	—
411	C₂×C₂²⋊D₄₇	—	4	2	no	—
412	C₂×C₂²⋊D₄₇	—	4	2	no	—
413	C₂×C₂²⋊D₄₇	—	4	2	no	—
414	C₂×C₂²⋊D₄₇	—	4	2	no	—
415	C₂×C₂²⋊D₄₇	—	4	2	no	—
416	C₂×C₂²⋊D₄₇	—	4	2	no	—
417	C₂×C₂²⋊D₄₇	—	4	2	no	—
418	C₂×C₂²⋊D₄₇	—	4	2	no	—
419	C₂²×Dic₄₇	—	2	2	no	—
420	C₂²×Dic₄₇	—	4	2	no	—
421	#10625354	—	2	2	no	—
422	#10625354	—	2	2	no	—
423	#10625354	C₂×D₄	1	1	yes	characteristic
424	#10625354	C₂×D₄	1	2	yes	—
425	#10625354	C₂×D₄	1	1	yes	characteristic
426	Q₈×D₄₇	—	2	2	no	—
427	Q₈×D₄₇	—	2	2	no	—
428	Q₈×D₄₇	C₂×D₄	1	1	yes	characteristic
429	Q₈×D₄₇	C₂×D₄	1	2	yes	—
430	Q₈×D₄₇	C₂×D₄	1	1	yes	characteristic
431	#10625352	—	2	1	no	—
432	#10625352	—	2	2	no	—
433	#10625352	—	2	1	no	—
434	#10625352	—	2	2	no	—
435	#10625352	—	2	2	no	—
436	#10625352	—	2	2	no	—
437	#10625352	—	2	2	no	—
438	#10625352	—	2	2	no	—
439	#10625352	—	2	2	no	—
440	#10625352	—	2	2	no	—
441	#10625352	—	2	2	no	—
442	#10625352	—	2	2	no	—
443	#10625352	—	2	2	no	—
444	#10625352	—	4	2	no	—
445	#10625352	—	4	2	no	—
446	#10625352	—	4	2	no	—
447	#10625352	—	4	2	no	—
448	#10625352	—	4	2	no	—
449	#10625352	—	4	2	no	—
450	#10625352	—	4	2	no	—
451	#10625352	—	4	2	no	—
452	#10625352	—	4	2	no	—
453	#10625352	—	4	2	no	—
454	#10625352	C₂×D₄	1	1	yes	characteristic
455	#10625352	C₂×D₄	1	2	yes	—
456	#10625352	C₂×D₄	1	1	yes	characteristic
457	D₄×D₄₇	—	2	1	no	—
458	D₄×D₄₇	—	2	2	no	—
459	D₄×D₄₇	—	2	1	no	—
460	D₄×D₄₇	—	2	2	no	—
461	D₄×D₄₇	—	2	2	no	—
462	D₄×D₄₇	—	2	2	no	—
463	D₄×D₄₇	—	2	2	no	—
464	D₄×D₄₇	—	2	2	no	—
465	D₄×D₄₇	—	2	2	no	—
466	D₄×D₄₇	—	2	2	no	—
467	D₄×D₄₇	—	2	2	no	—
468	D₄×D₄₇	—	2	2	no	—
469	D₄×D₄₇	—	2	2	no	—
470	D₄×D₄₇	—	4	2	no	—
471	D₄×D₄₇	—	4	2	no	—
472	D₄×D₄₇	—	4	2	no	—
473	D₄×D₄₇	—	4	2	no	—
474	D₄×D₄₇	—	4	2	no	—
475	D₄×D₄₇	—	4	2	no	—
476	D₄×D₄₇	—	4	2	no	—
477	D₄×D₄₇	—	4	2	no	—
478	D₄×D₄₇	—	4	2	no	—
479	D₄×D₄₇	—	4	2	no	—
480	D₄×D₄₇	C₂×D₄	1	1	yes	characteristic
481	D₄×D₄₇	C₂×D₄	1	2	yes	—
482	D₄×D₄₇	C₂×D₄	1	1	yes	characteristic
483	#10625350	—	2	1	no	—
484	#10625350	—	2	2	no	—
485	#10625350	—	2	1	no	—
486	#10625350	—	2	2	no	—
487	#10625350	—	2	2	no	—
488	#10625350	—	2	2	no	—
489	#10625350	—	2	2	no	—
490	#10625350	—	4	2	no	—
491	#10625350	—	4	2	no	—
492	#10625350	—	4	2	no	—
493	#10625350	—	4	2	no	—
494	#10625350	C₂⁴	1	1	yes	characteristic
495	#10625350	C₂⁴	1	2	yes	—
496	#10625350	C₂⁴	1	1	yes	characteristic
497	C₂×D₁₈₈	—	2	2	no	—
498	C₂×D₁₈₈	—	2	2	no	—
499	C₂×D₁₈₈	—	4	2	no	—
500	C₂×D₁₈₈	C₂⁴	1	2	yes	—
501	C₂×C₄×D₄₇	—	2	1	no	—
502	C₂×C₄×D₄₇	—	2	1	no	—
503	C₂×C₄×D₄₇	—	2	2	no	—
504	C₂×C₄×D₄₇	—	4	2	no	—
505	C₂×C₄×D₄₇	—	4	2	no	—
506	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
507	C₂×Dic₉₄	—	2	2	no	—
508	C₂×Dic₉₄	—	2	2	no	—
509	C₂×Dic₉₄	—	4	2	no	—
510	C₂×Dic₉₄	C₂⁴	1	2	yes	—
511	Q₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
512	Q₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
513	SD₁₆×C₄₇	—	2	2	no	—
514	SD₁₆×C₄₇	—	2	2	no	—
515	SD₁₆×C₄₇	—	2	2	no	—
516	SD₁₆×C₄₇	—	2	2	no	—
517	SD₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
518	SD₁₆×C₄₇	C₂×D₄	1	2	yes	—
519	SD₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
520	D₈×C₄₇	—	2	2	no	—
521	D₈×C₄₇	—	2	2	no	—
522	D₈×C₄₇	—	2	2	no	—
523	D₈×C₄₇	—	2	2	no	—
524	D₈×C₄₇	—	2	1	no	—
525	D₈×C₄₇	—	2	1	no	—
526	D₈×C₄₇	—	2	2	no	—
527	D₈×C₄₇	—	2	1	no	—
528	D₈×C₄₇	—	2	2	no	—
529	D₈×C₄₇	—	2	1	no	—
530	D₈×C₄₇	C₂×D₄	1	1	yes	characteristic
531	D₈×C₄₇	C₂×D₄	1	1	yes	characteristic
532	M₁₆×C₄₇	—	2	1	no	—
533	M₁₆×C₄₇	—	2	2	no	—
534	M₁₆×C₄₇	—	2	1	no	—
535	M₁₆×C₄₇	C₂⁴	1	1	yes	characteristic
536	M₁₆×C₄₇	C₂⁴	1	1	yes	characteristic
537	M₁₆×C₄₇	C₂⁴	1	2	yes	—
538	C₂×C₈×C₄₇	—	2	1	no	—
539	C₂×C₈×C₄₇	—	2	1	no	—
540	C₂×C₈×C₄₇	—	2	2	no	—
541	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
542	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
543	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
544	C₂²⋊Dic₄₇	—	4	2	no	—
545	#10625337	—	2	2	no	—
546	#10625337	—	2	2	no	—
547	#10625337	C₂×D₄	1	2	yes	—
548	#10625337	C₂×D₄	1	1	yes	characteristic
549	#10625337	C₂×D₄	1	1	yes	characteristic
550	#10625336	—	2	2	no	—
551	#10625336	—	2	2	no	—
552	#10625336	C₂×D₄	1	1	yes	characteristic
553	#10625336	C₂×D₄	1	2	yes	—
554	#10625336	C₂×D₄	1	1	yes	characteristic
555	#10625335	—	2	2	no	—
556	#10625335	—	2	2	no	—
557	#10625335	—	2	2	no	—
558	#10625335	—	2	2	no	—
559	#10625335	—	2	2	no	—
560	#10625335	—	2	2	no	—
561	#10625335	—	2	2	no	—
562	#10625335	—	2	2	no	—
563	#10625335	—	2	2	no	—
564	#10625335	—	2	2	no	—
565	#10625335	C₂×D₄	1	2	yes	—
566	#10625335	C₂×D₄	1	1	yes	characteristic
567	#10625335	C₂×D₄	1	1	yes	characteristic
568	#10625334	—	2	2	no	—
569	#10625334	—	2	2	no	—
570	#10625334	—	2	2	no	—
571	#10625334	—	2	2	no	—
572	#10625334	—	2	2	no	—
573	#10625334	—	2	2	no	—
574	#10625334	—	2	2	no	—
575	#10625334	—	2	2	no	—
576	#10625334	—	2	2	no	—
577	#10625334	—	2	2	no	—
578	#10625334	C₂×D₄	1	1	yes	characteristic
579	#10625334	C₂×D₄	1	2	yes	—
580	#10625334	C₂×D₄	1	1	yes	characteristic
581	(C₂×D₄₇)⋊C₄	—	2	1	no	—
582	(C₂×D₄₇)⋊C₄	—	4	2	no	—
583	Dic₄₇⋊C₄	—	2	1	no	—
584	C₄×Dic₄₇	C₂⁴	1	1	yes	characteristic
585	#10625329	—	2	1	no	—
586	#10625329	—	2	2	no	—
587	#10625329	—	2	1	no	—
588	#10625329	C₂⁴	1	1	yes	characteristic
589	#10625329	C₂⁴	1	2	yes	—
590	#10625329	C₂⁴	1	1	yes	characteristic
591	C₂×C₄₇⋊C₈	—	2	1	no	—
592	C₂×C₄₇⋊C₈	—	2	1	no	—
593	C₂×C₄₇⋊C₈	—	2	2	no	—
594	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
596	Dic₁₈₈	—	2	2	no	—
597	Dic₁₈₈	—	2	2	no	—
598	Dic₁₈₈	—	2	1	no	—
599	Dic₁₈₈	—	2	1	no	—
600	Dic₁₈₈	C₂×D₄	1	1	yes	characteristic
601	Dic₁₈₈	C₂×D₄	1	1	yes	characteristic
602	D₃₇₆	—	2	2	no	—
603	D₃₇₆	—	2	2	no	—
604	D₃₇₆	—	2	1	no	—
605	D₃₇₆	—	2	1	no	—
606	D₃₇₆	C₂×D₄	1	1	yes	characteristic
607	D₃₇₆	C₂×D₄	1	1	yes	characteristic
608	#10625325	—	2	2	no	—
609	#10625325	—	2	2	no	—
610	#10625325	—	2	2	no	—
611	#10625325	—	2	2	no	—
612	#10625325	—	2	2	no	—
613	#10625325	—	2	2	no	—
614	#10625325	C₂×D₄	1	2	yes	—
615	#10625325	C₂×D₄	1	1	yes	characteristic
616	#10625325	C₂×D₄	1	1	yes	characteristic
617	#10625324	—	2	2	no	—
618	#10625324	—	2	1	no	—
619	#10625324	—	2	1	no	—
620	#10625324	—	2	1	no	—
621	#10625324	—	2	1	no	—
622	#10625324	—	2	2	no	—
623	#10625324	—	2	1	no	—
624	#10625324	—	2	1	no	—
625	#10625324	—	2	2	no	—
626	#10625324	C₂×D₄	1	1	yes	characteristic
627	#10625324	C₂×D₄	1	1	yes	characteristic
628	#10625324	C₂×D₄	1	1	yes	characteristic
629	#10625324	C₂×D₄	1	1	yes	characteristic
630	C₈×D₄₇	—	2	1	no	—
631	C₈×D₄₇	—	2	1	no	—
632	C₈×D₄₇	—	2	2	no	—
633	C₈×D₄₇	—	2	1	no	—
634	C₈×D₄₇	—	2	1	no	—
635	C₈×D₄₇	—	2	2	no	—
636	C₈×D₄₇	—	2	1	no	—
637	C₈×D₄₇	—	2	1	no	—
638	C₈×D₄₇	—	2	2	no	—
639	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
640	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
641	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
642	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
643	C₂³×C₄₇	—	2	2	no	—
644	C₂³×C₄₇	—	2	2	no	—
645	C₂³×C₄₇	—	4	2	no	—
646	C₂³×C₄₇	—	4	2	no	—
647	C₂²×D₄₇	—	2	1	no	—
648	C₂²×D₄₇	—	2	1	no	—
649	C₂²×D₄₇	—	2	2	no	—
650	C₂²×D₄₇	—	2	2	no	—
651	C₂²×D₄₇	—	4	2	no	—
652	C₂²×D₄₇	—	4	2	no	—
653	C₂²×D₄₇	—	4	2	no	—
654	C₂²×D₄₇	—	4	2	no	—
655	C₂²×D₄₇	—	4	2	no	—
656	C₂²×D₄₇	—	4	2	no	—
657	C₂²×D₄₇	—	16	2	no	—
658	C₂²×D₄₇	—	16	4	no	—
659	C₂²×D₄₇	H(5,𝔽₂)	1	1	yes	characteristic
660	Q₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
661	Q₈×C₄₇	C₂²×D₄	1	2	yes	—
662	Q₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
663	D₄×C₄₇	—	2	1	no	—
664	D₄×C₄₇	—	2	2	no	—
665	D₄×C₄₇	—	2	1	no	—
666	D₄×C₄₇	—	2	2	no	—
667	D₄×C₄₇	—	2	2	no	—
668	D₄×C₄₇	—	2	2	no	—
669	D₄×C₄₇	—	2	2	no	—
670	D₄×C₄₇	—	4	2	no	—
671	D₄×C₄₇	—	4	2	no	—
672	D₄×C₄₇	—	4	2	no	—
673	D₄×C₄₇	—	4	2	no	—
674	D₄×C₄₇	—	16	2	no	—
675	D₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
676	D₄×C₄₇	C₂²×D₄	1	2	yes	—
677	D₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
678	C₂×C₄×C₄₇	—	2	1	no	—
679	C₂×C₄×C₄₇	—	2	2	no	—
680	C₂×C₄×C₄₇	—	2	1	no	—
681	C₂×C₄×C₄₇	—	2	1	no	—
682	C₂×C₄×C₄₇	—	4	2	no	—
683	C₂×C₄×C₄₇	—	4	2	no	—
684	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
685	C₂²⋊D₄₇	—	2	1	no	—
686	C₂²⋊D₄₇	—	2	2	no	—
687	C₂²⋊D₄₇	—	2	1	no	—
688	C₂²⋊D₄₇	—	2	1	no	—
689	C₂²⋊D₄₇	—	2	2	no	—
690	C₂²⋊D₄₇	—	2	1	no	—
691	C₂²⋊D₄₇	—	2	1	no	—
692	C₂²⋊D₄₇	—	2	2	no	—
693	C₂²⋊D₄₇	—	2	1	no	—
694	C₂²⋊D₄₇	—	4	2	no	—
695	C₂²⋊D₄₇	—	4	2	no	—
696	C₂²⋊D₄₇	—	4	2	no	—
697	C₂²⋊D₄₇	—	4	2	no	—
698	C₂²⋊D₄₇	—	4	2	no	—
699	C₂²⋊D₄₇	—	4	2	no	—
700	C₂²⋊D₄₇	—	4	2	no	—
701	C₂²⋊D₄₇	—	4	2	no	—
702	C₂²⋊D₄₇	—	4	2	no	—
703	C₂²⋊D₄₇	—	4	2	no	—
704	C₂²⋊D₄₇	—	4	2	no	—
705	C₂²⋊D₄₇	—	4	2	no	—
706	C₂²⋊D₄₇	—	16	2	no	—
707	C₂×Dic₄₇	—	2	1	no	—
708	C₂×Dic₄₇	—	2	2	no	—
709	C₂×Dic₄₇	—	2	1	no	—
710	C₂×Dic₄₇	—	2	1	no	—
711	C₂×Dic₄₇	—	2	2	no	—
712	C₂×Dic₄₇	—	4	2	no	—
713	C₂×Dic₄₇	—	4	2	no	—
714	C₂×Dic₄₇	—	4	2	no	—
715	C₂×Dic₄₇	—	4	2	no	—
716	C₂×Dic₄₇	—	4	2	no	—
717	C₂×Dic₄₇	—	4	2	no	—
718	C₂×Dic₄₇	H(5,𝔽₂)	1	1	yes	characteristic
719	D₁₈₈	—	2	1	no	—
720	D₁₈₈	—	2	2	no	—
721	D₁₈₈	—	2	1	no	—
722	D₁₈₈	—	2	2	no	—
723	D₁₈₈	—	2	2	no	—
724	D₁₈₈	—	4	2	no	—
725	D₁₈₈	—	4	2	no	—
726	D₁₈₈	C₂²×D₄	1	1	yes	characteristic
727	D₁₈₈	C₂²×D₄	1	2	yes	—
728	D₁₈₈	C₂²×D₄	1	1	yes	characteristic
729	C₄×D₄₇	—	2	1	no	—
730	C₄×D₄₇	—	2	2	no	—
731	C₄×D₄₇	—	2	1	no	—
732	C₄×D₄₇	—	2	1	no	—
733	C₄×D₄₇	—	2	2	no	—
734	C₄×D₄₇	—	2	1	no	—
735	C₄×D₄₇	—	2	1	no	—
736	C₄×D₄₇	—	2	2	no	—
737	C₄×D₄₇	—	2	1	no	—
738	C₄×D₄₇	—	4	2	no	—
739	C₄×D₄₇	—	4	2	no	—
740	C₄×D₄₇	—	4	2	no	—
741	C₄×D₄₇	—	4	2	no	—
742	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
743	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
744	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
745	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
746	Dic₉₄	—	2	1	no	—
747	Dic₉₄	—	2	2	no	—
748	Dic₉₄	—	2	1	no	—
749	Dic₉₄	—	2	2	no	—
750	Dic₉₄	—	2	2	no	—
751	Dic₉₄	—	4	2	no	—
752	Dic₉₄	—	4	2	no	—
753	Dic₉₄	C₂²×D₄	1	1	yes	characteristic
754	Dic₉₄	C₂²×D₄	1	2	yes	—
755	Dic₉₄	C₂²×D₄	1	1	yes	characteristic
756	C₈×C₄₇	—	2	1	no	—
757	C₈×C₄₇	—	2	2	no	—
758	C₈×C₄₇	—	2	1	no	—
759	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
760	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
761	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
762	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
763	C₄₇⋊C₈	—	2	1	no	—
764	C₄₇⋊C₈	—	2	2	no	—
765	C₄₇⋊C₈	—	2	1	no	—
766	C₄₇⋊C₈	C₂²×D₄	1	1	yes	characteristic
767	C₄₇⋊C₈	C₂²×D₄	1	1	yes	characteristic
768	C₄₇⋊C₈	C₂²×D₄	1	1	yes	characteristic
769	C₄₇⋊C₈	C₂²×D₄	1	1	yes	characteristic
770	#61106	—	47	1	no	maximal, Sylow
771	C₂²×C₄₇	—	2	1	no	—
772	C₂²×C₄₇	—	2	2	no	—
773	C₂²×C₄₇	—	2	1	no	—
774	C₂²×C₄₇	—	4	2	no	—
775	C₂²×C₄₇	—	4	2	no	—
776	C₂²×C₄₇	—	8	2	no	—
777	C₂²×C₄₇	—	8	2	no	—
778	C₂²×C₄₇	—	16	2	no	—
779	C₂²×C₄₇	—	16	2	no	—
780	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
781	C₂×D₄₇	—	2	1	no	—
782	C₂×D₄₇	—	2	2	no	—
783	C₂×D₄₇	—	2	1	no	—
784	C₂×D₄₇	—	4	1	no	—
785	C₂×D₄₇	—	4	2	no	—
786	C₂×D₄₇	—	4	2	no	—
787	C₂×D₄₇	—	8	1	no	—
788	C₂×D₄₇	—	8	2	no	—
789	C₂×D₄₇	—	8	4	no	—
790	C₂×D₄₇	—	8	2	no	—
791	C₂×D₄₇	—	16	2	no	—
792	C₂×D₄₇	—	16	2	no	—
793	C₂×D₄₇	—	16	2	no	—
794	C₂×D₄₇	—	16	2	no	—
795	C₂×D₄₇	—	16	2	no	—
796	C₂×D₄₇	D₄²	1	1	yes	characteristic
797	C₂×D₄₇	D₄²	1	1	yes	characteristic
798	C₄×C₄₇	—	2	1	no	—
799	C₄×C₄₇	—	2	2	no	—
800	C₄×C₄₇	—	2	1	no	—
801	C₄×C₄₇	—	4	1	no	—
802	C₄×C₄₇	C₂³×D₄	1	1	yes	characteristic
803	C₄×C₄₇	C₂³×D₄	1	1	yes	characteristic
804	Dic₄₇	—	2	1	no	—
805	Dic₄₇	—	2	2	no	—
806	Dic₄₇	—	2	1	no	—
807	Dic₄₇	—	4	1	no	—
808	Dic₄₇	—	4	2	no	—
809	Dic₄₇	D₄²	1	1	yes	characteristic
810	Dic₄₇	D₄²	1	1	yes	characteristic
811	#3585	—	47	2	no	—
812	#3584	—	47	1	no	—
813	C₂×#576	—	47	1	no	—
814	#3292	—	47	1	no	—
815	#3292	—	47	1	no	—
816	#3292	—	47	1	no	—
817	#3292	D₄₇	1	1	yes	characteristic, complemented
818	#3290	—	47	1	no	—
819	#3290	—	47	1	no	—
820	#3290	—	47	1	no	—
821	#3290	—	47	1	no	—
822	#3288	—	47	2	no	—
823	#3288	—	47	2	no	—
824	#3288	—	47	2	no	—
825	#3288	—	47	2	no	—
826	#3155	—	47	1	no	—
827	#3068	—	47	2	no	—
828	#3067	—	47	1	no	—
829	C₂×#472	—	47	1	no	—
830	#3021	—	47	2	no	—
831	#3019	—	47	2	no	—
832	#2957	—	47	1	no	—
833	#2955	—	47	1	no	—
834	C₂×C₄₇	—	2	1	no	—
835	C₂×C₄₇	—	4	1	no	—
836	C₂×C₄₇	—	4	2	no	—
837	C₂×C₄₇	—	4	1	no	—
838	C₂×C₄₇	—	8	2	no	—
839	C₂×C₄₇	—	8	2	no	—
840	C₂×C₄₇	C₂×D₄²	1	1	yes	characteristic
841	D₄₇	—	2	1	no	—
842	D₄₇	—	2	1	no	—
843	D₄₇	—	4	1	no	—
844	D₄₇	—	4	1	no	—
845	D₄₇	—	4	2	no	—
846	D₄₇	—	8	2	no	—
847	#585	—	47	2	no	—
848	C₂×H(5,𝔽₂)	—	47	2	no	—
849	#578	—	47	1	no	—
850	#578	—	47	1	no	—
851	#578	—	94	1	no	—
852	#577	—	47	2	no	—
853	#577	—	47	2	no	—
854	#577	—	47	2	no	—
855	#577	—	47	2	no	—
856	#577	—	47	2	no	—
857	#577	—	47	2	no	—
858	#577	—	94	2	no	—
859	#577	—	94	2	no	—
860	#577	—	94	2	no	—
861	#576	—	47	2	no	—
862	#576	—	47	2	no	—
863	#576	—	47	2	no	—
864	#576	—	47	2	no	—
865	#576	—	47	1	no	—
866	#576	—	47	1	no	—
867	#576	—	47	1	no	—
868	#576	—	47	2	no	—
869	#576	—	47	1	no	—
870	#576	—	94	1	no	—
871	#576	—	94	1	no	—
872	#576	—	94	2	no	—
873	#576	—	94	1	no	—
874	#576	—	94	2	no	—
875	#576	—	94	2	no	—
876	#576	C₂×D₄₇	1	1	yes	characteristic, complemented
877	#576	C₂×D₄₇	1	2	yes	complemented
878	#576	C₂×D₄₇	1	1	yes	characteristic, complemented
879	#575	—	47	1	no	—
880	#575	—	47	2	no	—
881	#575	—	47	2	no	—
882	#575	—	94	2	no	—
883	#575	—	94	2	no	—
884	#575	—	94	2	no	—
885	C₂×AGL(1,ℤ/8)	—	47	2	no	—
886	C₂×AGL(1,ℤ/8)	—	47	2	no	—
887	C₂×AGL(1,ℤ/8)	—	47	2	no	—
888	C₂×AGL(1,ℤ/8)	—	94	2	no	—
889	C₂×AGL(1,ℤ/8)	—	94	2	no	—
890	C₂×AGL(1,ℤ/8)	—	94	2	no	—
891	C₂×#135	—	47	1	no	—
892	C₂×#135	—	47	1	no	—
893	C₂×#135	—	94	1	no	—
894	C₂×#135	—	94	1	no	—
895	C₂×#135	—	94	1	no	—
896	C₂²×D₈	—	47	1	no	—
897	C₂²×D₈	—	94	1	no	—
898	#568	—	47	2	no	—
899	C₂×#131	—	47	1	no	—
900	C₂×#131	—	47	1	no	—
901	#535	—	47	2	no	—
902	#496	—	47	2	no	—
903	#496	—	47	2	no	—
904	#495	—	47	1	no	—
905	#495	—	47	1	no	—
906	#493	—	47	1	no	—
907	#493	C₂×D₄₇	1	1	yes	characteristic, complemented
908	#473	—	47	1	no	—
909	#473	—	47	1	no	—
910	#472	—	47	2	no	—
911	#472	—	47	2	no	—
912	#472	—	47	1	no	—
913	#472	—	47	2	no	—
914	#472	—	47	1	no	—
915	#472	—	47	1	no	—
916	#472	—	47	1	no	—
917	#472	—	47	2	no	—
918	#472	—	47	2	no	—
919	#472	C₂×D₄₇	1	1	yes	characteristic, complemented
920	#472	C₂×D₄₇	1	1	yes	characteristic, complemented
921	#472	C₂×D₄₇	1	2	yes	complemented
922	#471	—	47	2	no	—
923	#471	—	47	2	no	—
924	#471	—	47	2	no	—
925	#471	—	47	2	no	—
926	#471	—	47	2	no	—
927	#471	—	47	2	no	—
928	#455	—	47	2	no	—
929	#455	—	47	2	no	—
930	#455	—	47	2	no	—
931	#455	—	47	2	no	—
932	#454	—	47	2	no	—
933	#454	—	47	2	no	—
934	#454	—	47	2	no	—
935	#454	—	47	2	no	—
936	#453	—	47	2	no	—
937	#453	—	47	2	no	—
938	#453	—	47	2	no	—
939	#453	—	47	2	no	—
940	#453	—	47	2	no	—
941	#453	—	47	2	no	—
942	#453	C₂×D₄₇	1	2	yes	complemented
943	#453	C₂×D₄₇	1	2	yes	complemented
944	#444	—	47	1	no	—
945	#444	—	47	2	no	—
946	#444	—	47	1	no	—
947	#444	—	47	1	no	—
948	#444	—	47	1	no	—
949	#444	—	47	2	no	—
950	#443	—	47	1	no	—
951	#443	—	47	1	no	—
952	#443	—	47	1	no	—
953	#443	—	47	1	no	—
954	#443	—	47	1	no	—
955	#443	—	47	1	no	—
956	#443	C₂×D₄₇	1	1	yes	characteristic, complemented
957	#443	C₂×D₄₇	1	1	yes	characteristic, complemented
958	#430	—	47	1	no	—
959	C₂×#108	—	47	1	no	—
960	#421	—	47	1	no	—
961	#421	—	47	1	no	—
962	#421	—	47	2	no	—
963	#413	—	47	2	no	—
964	C₂×#100	—	47	2	no	—
965	#405	—	47	1	no	—
966	C₄₇	#61106	1	1	yes	characteristic, complemented, Sylow
967	2₋¹⁺⁴	—	47	2	no	—
968	2₋¹⁺⁴	—	47	2	no	—
969	2₋¹⁺⁴	—	94	2	no	—
970	2₋¹⁺⁴	—	94	2	no	—
971	H(5,𝔽₂)	—	47	2	no	—
972	H(5,𝔽₂)	—	47	2	no	—
973	H(5,𝔽₂)	—	47	2	no	—
974	H(5,𝔽₂)	—	47	2	no	—
975	H(5,𝔽₂)	—	94	2	no	—
976	H(5,𝔽₂)	—	94	2	no	—
977	H(5,𝔽₂)	—	94	2	no	—
978	H(5,𝔽₂)	—	94	2	no	—
979	H(5,𝔽₂)	—	94	2	no	—
980	H(5,𝔽₂)	—	94	2	no	—
981	H(5,𝔽₂)	—	188	2	no	—
982	H(5,𝔽₂)	—	188	2	no	—
983	H(5,𝔽₂)	C₂²×D₄₇	1	2	yes	—
984	H(5,𝔽₂)	C₂²×D₄₇	1	2	yes	complemented
985	C₂×#41	—	47	1	no	—
986	C₂×#41	—	47	1	no	—
987	C₂×#41	—	47	2	no	—
988	C₂×#41	—	47	2	no	—
989	C₂×#41	—	94	2	no	—
990	C₂×#41	—	94	2	no	—
991	C₂×#41	—	94	2	no	—
992	C₂×#41	—	94	2	no	—
993	C₂×#41	—	94	2	no	—
994	C₂×#41	—	94	2	no	—
995	C₂×#41	—	188	2	no	—
996	C₂²×D₄	—	47	2	no	—
997	C₂²×D₄	—	94	2	no	—
998	C₂²×D₄	—	94	2	no	—
999	C₂²×D₄	—	188	2	no	—
1000	#137	—	47	1	no	—
1001	#137	—	47	1	no	—
1002	#137	—	47	1	no	—
1003	#137	—	47	1	no	—
1004	#137	—	47	2	no	—
1005	#137	—	47	2	no	—
1006	#137	—	47	2	no	—
1007	#137	—	47	2	no	—
1008	#137	—	94	2	no	—
1009	#137	—	94	2	no	—
1010	#137	—	94	2	no	—
1011	#137	—	94	2	no	—
1012	#137	—	94	2	no	—
1013	#137	—	94	2	no	—
1014	#137	—	94	2	no	—
1015	#137	—	94	2	no	—
1016	#137	—	94	2	no	—
1017	#137	—	94	2	no	—
1018	AGL(1,ℤ/8)	—	2	2	no	—
1019	AGL(1,ℤ/8)	—	2	2	no	—
1020	AGL(1,ℤ/8)	—	2	2	no	—
1021	AGL(1,ℤ/8)	—	2	2	no	—
1022	AGL(1,ℤ/8)	—	47	1	no	—
1023	AGL(1,ℤ/8)	—	47	1	no	—
1024	AGL(1,ℤ/8)	—	47	1	no	—
1025	AGL(1,ℤ/8)	—	47	1	no	—
1026	AGL(1,ℤ/8)	—	47	2	no	—
1027	AGL(1,ℤ/8)	—	47	2	no	—
1028	AGL(1,ℤ/8)	—	47	2	no	—
1029	AGL(1,ℤ/8)	—	47	2	no	—
1030	AGL(1,ℤ/8)	—	47	2	no	—
1031	AGL(1,ℤ/8)	—	47	2	no	—
1032	AGL(1,ℤ/8)	—	47	2	no	—
1033	AGL(1,ℤ/8)	—	47	2	no	—
1034	AGL(1,ℤ/8)	—	94	2	no	—
1035	AGL(1,ℤ/8)	—	94	2	no	—
1036	AGL(1,ℤ/8)	—	94	2	no	—
1037	AGL(1,ℤ/8)	—	94	2	no	—
1038	AGL(1,ℤ/8)	—	94	2	no	—
1039	AGL(1,ℤ/8)	—	94	2	no	—
1040	AGL(1,ℤ/8)	—	94	2	no	—
1041	AGL(1,ℤ/8)	—	94	2	no	—
1042	AGL(1,ℤ/8)	—	94	2	no	—
1043	AGL(1,ℤ/8)	—	94	2	no	—
1044	AGL(1,ℤ/8)	—	94	2	no	—
1045	AGL(1,ℤ/8)	—	94	2	no	—
1046	AGL(1,ℤ/8)	—	94	2	no	—
1047	AGL(1,ℤ/8)	—	94	2	no	—
1048	AGL(1,ℤ/8)	—	94	2	no	—
1049	AGL(1,ℤ/8)	—	94	2	no	—
1050	AGL(1,ℤ/8)	—	94	2	no	—
1051	AGL(1,ℤ/8)	—	94	2	no	—
1052	AGL(1,ℤ/8)	—	94	2	no	—
1053	AGL(1,ℤ/8)	—	94	2	no	—
1054	AGL(1,ℤ/8)	—	94	2	no	—
1055	AGL(1,ℤ/8)	—	94	2	no	—
1056	AGL(1,ℤ/8)	—	94	2	no	—
1057	AGL(1,ℤ/8)	—	94	2	no	—
1058	AGL(1,ℤ/8)	—	94	2	no	—
1059	AGL(1,ℤ/8)	—	94	2	no	—
1060	AGL(1,ℤ/8)	—	94	2	no	—
1061	AGL(1,ℤ/8)	—	94	2	no	—
1062	AGL(1,ℤ/8)	—	94	2	no	—
1063	AGL(1,ℤ/8)	—	94	2	no	—
1064	AGL(1,ℤ/8)	C₂²×D₄₇	1	2	yes	—
1065	AGL(1,ℤ/8)	C₂²×D₄₇	1	2	yes	—
1066	AGL(1,ℤ/8)	C₂²×D₄₇	1	2	yes	complemented
1067	AGL(1,ℤ/8)	C₂²×D₄₇	1	2	yes	complemented
1068	#135	—	2	1	no	—
1069	#135	—	2	1	no	—
1070	#135	—	2	2	no	—
1071	#135	—	47	2	no	—
1072	#135	—	47	1	no	—
1073	#135	—	47	1	no	—
1074	#135	—	47	1	no	—
1075	#135	—	47	2	no	—
1076	#135	—	47	1	no	—
1077	#135	—	47	1	no	—
1078	#135	—	47	1	no	—
1079	#135	—	94	1	no	—
1080	#135	—	94	2	no	—
1081	#135	—	94	1	no	—
1082	#135	—	94	1	no	—
1083	#135	—	94	1	no	—
1084	#135	—	94	1	no	—
1085	#135	—	94	1	no	—
1086	#135	—	94	2	no	—
1087	#135	—	94	2	no	—
1088	#135	—	94	1	no	—
1089	#135	—	94	1	no	—
1090	#135	—	94	2	no	—
1091	#135	—	94	2	no	—
1092	#135	—	94	2	no	—
1093	#135	—	94	2	no	—
1094	#135	—	94	2	no	—
1095	#135	—	94	2	no	—
1096	#135	—	94	2	no	—
1097	#135	—	94	2	no	—
1098	#135	—	94	2	no	—
1099	#135	—	94	2	no	—
1100	#135	—	94	2	no	—
1101	#135	—	94	1	no	—
1102	#135	—	94	2	no	—
1103	#135	—	94	1	no	—
1104	#135	C₂²×D₄₇	1	1	yes	characteristic
1105	#135	C₂²×D₄₇	1	1	yes	characteristic
1106	C₂×Q₁₆	—	47	1	no	—
1107	C₂×Q₁₆	—	47	1	no	—
1108	C₂×Q₁₆	—	94	1	no	—
1109	C₂×Q₁₆	—	94	1	no	—
1110	C₂×SD₁₆	—	47	2	no	—
1111	C₂×SD₁₆	—	47	2	no	—
1112	C₂×SD₁₆	—	47	2	no	—
1113	C₂×SD₁₆	—	47	2	no	—
1114	C₂×SD₁₆	—	94	2	no	—
1115	C₂×SD₁₆	—	94	2	no	—
1116	C₂×SD₁₆	—	94	2	no	—
1117	C₂×SD₁₆	—	94	2	no	—
1118	C₂×SD₁₆	—	94	2	no	—
1119	C₂×SD₁₆	—	94	2	no	—
1120	C₂×SD₁₆	—	94	2	no	—
1121	C₂×SD₁₆	—	94	2	no	—
1122	C₂×D₈	—	2	1	no	—
1123	C₂×D₈	—	2	1	no	—
1124	C₂×D₈	—	2	2	no	—
1125	C₂×D₈	—	47	1	no	—
1126	C₂×D₈	—	47	2	no	—
1127	C₂×D₈	—	47	2	no	—
1128	C₂×D₈	—	47	1	no	—
1129	C₂×D₈	—	94	1	no	—
1130	C₂×D₈	—	94	1	no	—
1131	C₂×D₈	—	94	1	no	—
1132	C₂×D₈	—	94	1	no	—
1133	C₂×D₈	—	94	1	no	—
1134	C₂×D₈	—	94	2	no	—
1135	C₂×D₈	—	94	1	no	—
1136	C₂×D₈	—	94	1	no	—
1137	C₂×D₈	—	94	2	no	—
1138	C₂×D₈	—	94	2	no	—
1139	C₂×D₈	—	94	2	no	—
1140	C₂×D₈	—	94	2	no	—
1141	C₂×D₈	—	94	2	no	—
1142	C₂×D₈	—	94	2	no	—
1143	C₂×D₈	—	94	1	no	—
1144	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
1145	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic, complemented
1146	C₂×D₈	C₂²×D₄₇	1	2	yes	complemented
1147	#131	—	47	1	no	—
1148	#131	—	47	1	no	—
1149	#131	—	47	2	no	—
1150	#131	—	47	1	no	—
1151	#131	—	47	1	no	—
1152	#131	—	47	2	no	—
1153	#131	—	47	1	no	—
1154	#131	—	47	1	no	—
1155	#131	—	47	2	no	—
1156	#131	—	94	1	no	—
1157	#131	—	94	1	no	—
1158	#131	—	94	2	no	—
1159	#131	—	94	1	no	—
1160	#131	—	94	1	no	—
1161	#131	—	94	2	no	—
1162	#131	C₂²×D₄₇	1	1	yes	characteristic
1163	#131	C₂²×D₄₇	1	1	yes	characteristic, complemented
1164	#131	C₂²×D₄₇	1	2	yes	complemented
1165	C₂×M₁₆	—	47	1	no	—
1166	C₂×M₁₆	—	47	1	no	—
1167	C₂×M₁₆	—	47	1	no	—
1168	C₂×M₁₆	—	47	2	no	—
1169	C₂×M₁₆	—	94	2	no	—
1170	C₂×M₁₆	—	94	1	no	—
1171	C₂×M₁₆	—	94	1	no	—
1172	C₂×M₁₆	—	94	2	no	—
1173	C₂²×C₈	—	47	1	no	—
1174	C₂²×C₈	—	94	1	no	—
1175	C₂²×C₈	—	94	1	no	—
1176	#127	—	47	2	no	—
1177	#127	C₂²×D₄₇	1	2	yes	complemented
1178	#124	—	47	2	no	—
1179	#124	—	47	2	no	—
1180	#121	—	188	2	no	—
1181	#120	—	188	2	no	—
1182	#117	—	47	1	no	—
1183	#108	—	47	2	no	—
1184	#108	—	47	1	no	—
1185	#108	—	47	1	no	—
1186	#108	—	47	1	no	—
1187	#108	—	47	1	no	—
1188	#108	C₂²×D₄₇	1	1	yes	characteristic, complemented
1189	#108	C₂²×D₄₇	1	1	yes	characteristic, complemented
1190	#104	—	47	1	no	—
1191	#104	—	47	1	no	—
1192	#104	—	47	2	no	—
1193	#104	—	47	1	no	—
1194	#104	—	47	1	no	—
1195	#104	—	47	2	no	—
1196	#104	—	47	1	no	—
1197	#104	—	47	1	no	—
1198	#104	—	47	2	no	—
1199	#104	C₂²×D₄₇	1	1	yes	characteristic
1200	#104	C₂²×D₄₇	1	1	yes	characteristic, complemented
1201	#104	C₂²×D₄₇	1	2	yes	complemented
1202	#101	—	47	2	no	—
1203	#101	—	47	2	no	—
1204	#100	—	47	2	no	—
1205	#100	—	47	2	no	—
1206	#100	—	47	2	no	—
1207	#100	—	47	2	no	—
1208	#100	C₂²×D₄₇	1	2	yes	complemented
1209	#100	C₂²×D₄₇	1	2	yes	complemented
1210	#97	—	47	1	no	—
1211	#97	—	47	1	no	—
1212	C₄×C₈	—	47	1	no	—
1213	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic, complemented
1214	C₂⁴	—	94	2	no	—
1215	C₂⁴	—	188	2	no	—
1216	#41	—	2	2	no	—
1217	#41	—	2	2	no	—
1218	#41	—	2	2	no	—
1219	#41	—	2	2	no	—
1220	#41	—	47	2	no	—
1221	#41	—	47	1	no	—
1222	#41	—	47	1	no	—
1223	#41	—	47	2	no	—
1224	#41	—	47	1	no	—
1225	#41	—	47	1	no	—
1226	#41	—	47	1	no	—
1227	#41	—	47	2	no	—
1228	#41	—	47	1	no	—
1229	#41	—	94	1	no	—
1230	#41	—	94	2	no	—
1231	#41	—	94	1	no	—
1232	#41	—	94	2	no	—
1233	#41	—	94	2	no	—
1234	#41	—	94	2	no	—
1235	#41	—	94	2	no	—
1236	#41	—	94	1	no	—
1237	#41	—	94	2	no	—
1238	#41	—	94	1	no	—
1239	#41	—	94	2	no	—
1240	#41	—	94	2	no	—
1241	#41	—	94	2	no	—
1242	#41	—	94	2	no	—
1243	#41	—	94	2	no	—
1244	#41	—	94	2	no	—
1245	#41	—	94	2	no	—
1246	#41	—	94	2	no	—
1247	#41	—	94	2	no	—
1248	#41	—	94	2	no	—
1249	#41	—	94	2	no	—
1250	#41	—	94	2	no	—
1251	#41	—	188	2	no	—
1252	#41	—	188	2	no	—
1253	#41	—	188	2	no	—
1254	#41	—	188	2	no	—
1255	#41	—	188	2	no	—
1256	#41	—	188	2	no	—
1257	#41	—	188	2	no	—
1258	#41	—	188	2	no	—
1259	#41	—	188	2	no	—
1260	#41	—	188	2	no	—
1261	#41	—	188	2	no	—
1262	#41	—	188	2	no	—
1263	#41	—	188	2	no	—
1264	#41	—	188	2	no	—
1265	#41	C₂³×D₄₇	1	1	yes	characteristic
1266	#41	C₂³×D₄₇	1	1	yes	characteristic
1267	#41	C₂³×D₄₇	1	2	yes	—
1268	C₂×Q₈	—	47	2	no	—
1269	C₂×Q₈	—	47	1	no	—
1270	C₂×Q₈	—	47	1	no	—
1271	C₂×Q₈	—	47	2	no	—
1272	C₂×Q₈	—	94	2	no	—
1273	C₂×Q₈	—	94	2	no	—
1274	C₂×Q₈	—	94	2	no	—
1275	C₂×Q₈	—	94	2	no	—
1276	C₂×Q₈	—	188	2	no	—
1277	C₂×D₄	—	2	2	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	2	2	no	—
1281	C₂×D₄	—	4	2	no	—
1282	C₂×D₄	—	4	2	no	—
1283	C₂×D₄	—	4	2	no	—
1284	C₂×D₄	—	47	2	no	—
1285	C₂×D₄	—	47	1	no	—
1286	C₂×D₄	—	47	1	no	—
1287	C₂×D₄	—	47	2	no	—
1288	C₂×D₄	—	94	2	no	—
1289	C₂×D₄	—	94	2	no	—
1290	C₂×D₄	—	94	2	no	—
1291	C₂×D₄	—	94	2	no	—
1292	C₂×D₄	—	94	2	no	—
1293	C₂×D₄	—	94	2	no	—
1294	C₂×D₄	—	94	2	no	—
1295	C₂×D₄	—	94	2	no	—
1296	C₂×D₄	—	94	2	no	—
1297	C₂×D₄	—	94	2	no	—
1298	C₂×D₄	—	94	2	no	—
1299	C₂×D₄	—	94	1	no	—
1300	C₂×D₄	—	94	2	no	—
1301	C₂×D₄	—	94	1	no	—
1302	C₂×D₄	—	94	2	no	—
1303	C₂×D₄	—	94	2	no	—
1304	C₂×D₄	—	94	2	no	—
1305	C₂×D₄	—	188	2	no	—
1306	C₂×D₄	—	188	2	no	—
1307	C₂×D₄	—	188	2	no	—
1308	C₂×D₄	—	188	2	no	—
1309	C₂×D₄	—	188	2	no	—
1310	C₂×D₄	—	188	2	no	—
1311	C₂×D₄	—	188	2	no	—
1312	C₂×D₄	—	188	2	no	—
1313	C₂×D₄	—	188	2	no	—
1314	C₂×D₄	—	188	2	no	—
1315	C₂×D₄	—	188	2	no	—
1316	C₂×D₄	—	188	2	no	—
1317	C₂×D₄	—	188	2	no	—
1318	C₂×D₄	—	188	2	no	—
1319	C₂×D₄	—	188	2	no	—
1320	C₂×D₄	—	188	2	no	—
1321	C₂×D₄	—	188	2	no	—
1322	C₂×D₄	—	188	2	no	—
1323	C₂×D₄	—	188	2	no	—
1324	C₂×D₄	—	188	2	no	—
1325	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1326	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1327	C₂²×C₄	—	47	1	no	—
1328	C₂²×C₄	—	94	1	no	—
1329	C₂²×C₄	—	94	1	no	—
1330	C₂²×C₄	—	94	2	no	—
1331	C₂²×C₄	—	94	2	no	—
1332	C₂²×C₄	—	188	2	no	—
1333	C₂²×C₄	—	188	2	no	—
1334	C₂²×C₄	—	188	2	no	—
1335	Q₁₆	—	47	2	no	—
1336	Q₁₆	—	47	1	no	—
1337	Q₁₆	—	47	1	no	—
1338	Q₁₆	—	47	1	no	—
1339	Q₁₆	—	47	1	no	—
1340	Q₁₆	—	94	2	no	—
1341	Q₁₆	—	94	2	no	—
1342	Q₁₆	—	94	2	no	—
1343	Q₁₆	—	94	2	no	—
1344	Q₁₆	—	94	1	no	—
1345	Q₁₆	—	94	1	no	—
1346	Q₁₆	D₄×D₄₇	1	1	yes	characteristic
1347	Q₁₆	D₄×D₄₇	1	1	yes	characteristic
1348	SD₁₆	—	2	2	no	—
1349	SD₁₆	—	2	2	no	—
1350	SD₁₆	—	2	2	no	—
1351	SD₁₆	—	2	2	no	—
1352	SD₁₆	—	47	2	no	—
1353	SD₁₆	—	47	1	no	—
1354	SD₁₆	—	47	1	no	—
1355	SD₁₆	—	47	2	no	—
1356	SD₁₆	—	47	1	no	—
1357	SD₁₆	—	47	1	no	—
1358	SD₁₆	—	47	2	no	—
1359	SD₁₆	—	47	1	no	—
1360	SD₁₆	—	47	1	no	—
1361	SD₁₆	—	94	2	no	—
1362	SD₁₆	—	94	2	no	—
1363	SD₁₆	—	94	2	no	—
1364	SD₁₆	—	94	2	no	—
1365	SD₁₆	—	94	2	no	—
1366	SD₁₆	—	94	2	no	—
1367	SD₁₆	—	94	2	no	—
1368	SD₁₆	—	94	2	no	—
1369	SD₁₆	—	94	2	no	—
1370	SD₁₆	—	94	2	no	—
1371	SD₁₆	—	94	2	no	—
1372	SD₁₆	—	94	2	no	—
1373	SD₁₆	—	94	2	no	—
1374	SD₁₆	—	94	2	no	—
1375	SD₁₆	—	94	2	no	—
1376	SD₁₆	—	94	2	no	—
1377	SD₁₆	—	94	2	no	—
1378	SD₁₆	—	94	2	no	—
1379	SD₁₆	D₄×D₄₇	1	2	yes	—
1380	SD₁₆	D₄×D₄₇	1	1	yes	characteristic
1381	SD₁₆	D₄×D₄₇	1	1	yes	characteristic
1382	D₈	—	2	2	no	—
1383	D₈	—	2	2	no	—
1384	D₈	—	2	2	no	—
1385	D₈	—	2	2	no	—
1386	D₈	—	2	1	no	—
1387	D₈	—	2	1	no	—
1388	D₈	—	2	2	no	—
1389	D₈	—	2	1	no	—
1390	D₈	—	2	2	no	—
1391	D₈	—	2	1	no	—
1392	D₈	—	47	2	no	—
1393	D₈	—	47	1	no	—
1394	D₈	—	47	1	no	—
1395	D₈	—	47	1	no	—
1396	D₈	—	47	1	no	—
1397	D₈	—	94	2	no	—
1398	D₈	—	94	2	no	—
1399	D₈	—	94	2	no	—
1400	D₈	—	94	2	no	—
1401	D₈	—	94	2	no	—
1402	D₈	—	94	2	no	—
1403	D₈	—	94	2	no	—
1404	D₈	—	94	2	no	—
1405	D₈	—	94	2	no	—
1406	D₈	—	94	2	no	—
1407	D₈	—	94	2	no	—
1408	D₈	—	94	2	no	—
1409	D₈	—	94	1	no	—
1410	D₈	—	94	1	no	—
1411	D₈	D₄×D₄₇	1	1	yes	characteristic
1412	D₈	D₄×D₄₇	1	1	yes	characteristic
1413	M₁₆	—	2	1	no	—
1414	M₁₆	—	2	2	no	—
1415	M₁₆	—	2	1	no	—
1416	M₁₆	—	47	1	no	—
1417	M₁₆	—	47	1	no	—
1418	M₁₆	—	47	1	no	—
1419	M₁₆	—	47	1	no	—
1420	M₁₆	—	47	1	no	—
1421	M₁₆	—	47	2	no	—
1422	M₁₆	—	47	1	no	—
1423	M₁₆	—	94	1	no	—
1424	M₁₆	—	94	2	no	—
1425	M₁₆	—	94	1	no	—
1426	M₁₆	—	94	2	no	—
1427	M₁₆	—	94	1	no	—
1428	M₁₆	—	94	1	no	—
1429	M₁₆	—	94	1	no	—
1430	M₁₆	—	94	2	no	—
1431	M₁₆	—	94	1	no	—
1432	M₁₆	—	94	1	no	—
1433	M₁₆	—	94	2	no	—
1434	M₁₆	—	94	1	no	—
1435	M₁₆	C₂³×D₄₇	1	1	yes	characteristic
1436	M₁₆	C₂³×D₄₇	1	2	yes	—
1437	M₁₆	C₂³×D₄₇	1	1	yes	characteristic
1438	C₂×C₈	—	2	1	no	—
1439	C₂×C₈	—	2	1	no	—
1440	C₂×C₈	—	2	2	no	—
1441	C₂×C₈	—	47	1	no	—
1442	C₂×C₈	—	47	1	no	—
1443	C₂×C₈	—	47	1	no	—
1444	C₂×C₈	—	47	1	no	—
1445	C₂×C₈	—	47	1	no	—
1446	C₂×C₈	—	47	1	no	—
1447	C₂×C₈	—	94	1	no	—
1448	C₂×C₈	—	94	1	no	—
1449	C₂×C₈	—	94	2	no	—
1450	C₂×C₈	—	94	1	no	—
1451	C₂×C₈	—	94	1	no	—
1452	C₂×C₈	—	94	2	no	—
1453	C₂×C₈	—	94	1	no	—
1454	C₂×C₈	—	94	1	no	—
1455	C₂×C₈	—	94	2	no	—
1456	C₂×C₈	—	94	1	no	—
1457	C₂×C₈	—	94	1	no	—
1458	C₂×C₈	—	94	2	no	—
1459	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1460	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1461	C₄⋊C₄	—	94	1	no	—
1462	C₂²⋊C₄	—	94	1	no	—
1463	C₂²⋊C₄	—	188	2	no	—
1464	C₂²⋊C₄	—	188	2	no	—
1465	C₄²	—	47	1	no	—
1466	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1467	C₂³	—	2	2	no	—
1468	C₂³	—	2	2	no	—
1469	C₂³	—	4	2	no	—
1470	C₂³	—	4	2	no	—
1471	C₂³	—	47	1	no	—
1472	C₂³	—	94	1	no	—
1473	C₂³	—	94	2	no	—
1474	C₂³	—	94	1	no	—
1475	C₂³	—	94	2	no	—
1476	C₂³	—	188	2	no	—
1477	C₂³	—	188	2	no	—
1478	C₂³	—	188	2	no	—
1479	C₂³	—	188	2	no	—
1480	C₂³	—	188	2	no	—
1481	C₂³	—	188	2	no	—
1482	C₂³	—	752	2	no	—
1483	C₂³	—	752	4	no	—
1484	Q₈	—	47	1	no	—
1485	Q₈	—	47	2	no	—
1486	Q₈	—	47	1	no	—
1487	Q₈	—	94	1	no	—
1488	Q₈	—	94	2	no	—
1489	Q₈	—	94	1	no	—
1490	Q₈	—	94	2	no	—
1491	Q₈	—	94	2	no	—
1492	Q₈	—	188	2	no	—
1493	Q₈	—	188	2	no	—
1494	Q₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1495	Q₈	C₂×D₄×D₄₇	1	2	yes	—
1496	Q₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1497	D₄	—	2	1	no	—
1498	D₄	—	2	2	no	—
1499	D₄	—	2	1	no	—
1500	D₄	—	2	2	no	—
1501	D₄	—	2	2	no	—
1502	D₄	—	2	2	no	—
1503	D₄	—	2	2	no	—
1504	D₄	—	4	2	no	—
1505	D₄	—	4	2	no	—
1506	D₄	—	4	2	no	—
1507	D₄	—	4	2	no	—
1508	D₄	—	16	2	no	—
1509	D₄	—	47	1	no	—
1510	D₄	—	47	2	no	—
1511	D₄	—	47	1	no	—
1512	D₄	—	94	1	no	—
1513	D₄	—	94	2	no	—
1514	D₄	—	94	1	no	—
1515	D₄	—	94	1	no	—
1516	D₄	—	94	2	no	—
1517	D₄	—	94	1	no	—
1518	D₄	—	94	1	no	—
1519	D₄	—	94	2	no	—
1520	D₄	—	94	1	no	—
1521	D₄	—	94	1	no	—
1522	D₄	—	94	2	no	—
1523	D₄	—	94	1	no	—
1524	D₄	—	94	2	no	—
1525	D₄	—	94	2	no	—
1526	D₄	—	188	2	no	—
1527	D₄	—	188	2	no	—
1528	D₄	—	188	2	no	—
1529	D₄	—	188	2	no	—
1530	D₄	—	188	2	no	—
1531	D₄	—	188	2	no	—
1532	D₄	—	188	2	no	—
1533	D₄	—	188	2	no	—
1534	D₄	—	188	2	no	—
1535	D₄	—	188	2	no	—
1536	D₄	—	188	2	no	—
1537	D₄	—	188	2	no	—
1538	D₄	—	188	2	no	—
1539	D₄	—	188	2	no	—
1540	D₄	—	752	2	no	—
1541	D₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1542	D₄	C₂×D₄×D₄₇	1	2	yes	—
1543	D₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	2	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	4	2	no	—
1549	C₂×C₄	—	4	2	no	—
1550	C₂×C₄	—	47	1	no	—
1551	C₂×C₄	—	47	1	no	—
1552	C₂×C₄	—	47	1	no	—
1553	C₂×C₄	—	47	1	no	—
1554	C₂×C₄	—	47	1	no	—
1555	C₂×C₄	—	94	1	no	—
1556	C₂×C₄	—	94	2	no	—
1557	C₂×C₄	—	94	1	no	—
1558	C₂×C₄	—	94	1	no	—
1559	C₂×C₄	—	94	2	no	—
1560	C₂×C₄	—	94	1	no	—
1561	C₂×C₄	—	94	1	no	—
1562	C₂×C₄	—	94	2	no	—
1563	C₂×C₄	—	94	1	no	—
1564	C₂×C₄	—	94	1	no	—
1565	C₂×C₄	—	94	2	no	—
1566	C₂×C₄	—	94	1	no	—
1567	C₂×C₄	—	94	1	no	—
1568	C₂×C₄	—	94	2	no	—
1569	C₂×C₄	—	188	2	no	—
1570	C₂×C₄	—	188	2	no	—
1571	C₂×C₄	—	188	2	no	—
1572	C₂×C₄	—	188	2	no	—
1573	C₂×C₄	—	188	2	no	—
1574	C₂×C₄	—	188	2	no	—
1575	C₂×C₄	—	188	2	no	—
1576	C₂×C₄	—	188	2	no	—
1577	C₂×C₄	—	188	2	no	—
1578	C₂×C₄	—	188	2	no	—
1579	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1580	C₈	—	2	1	no	—
1581	C₈	—	2	2	no	—
1582	C₈	—	2	1	no	—
1583	C₈	—	47	1	no	—
1584	C₈	—	47	1	no	—
1585	C₈	—	47	1	no	—
1586	C₈	—	47	1	no	—
1587	C₈	—	94	1	no	—
1588	C₈	—	94	2	no	—
1589	C₈	—	94	1	no	—
1590	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1591	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1592	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1593	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	4	2	no	—
1598	C₂²	—	4	2	no	—
1599	C₂²	—	8	2	no	—
1600	C₂²	—	8	2	no	—
1601	C₂²	—	16	2	no	—
1602	C₂²	—	16	2	no	—
1603	C₂²	—	47	1	no	—
1604	C₂²	—	47	1	no	—
1605	C₂²	—	94	1	no	—
1606	C₂²	—	94	2	no	—
1607	C₂²	—	94	1	no	—
1608	C₂²	—	376	2	no	—
1609	C₂²	—	376	2	no	—
1610	C₂²	—	376	1	no	—
1611	C₂²	—	376	4	no	—
1612	C₂²	—	188	1	no	—
1613	C₂²	—	188	2	no	—
1614	C₂²	—	188	2	no	—
1615	C₂²	—	752	2	no	—
1616	C₂²	—	752	2	no	—
1617	C₂²	—	752	2	no	—
1618	C₂²	—	752	2	no	—
1619	C₂²	—	752	2	no	—
1620	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1621	C₄	—	2	1	no	—
1622	C₄	—	2	2	no	—
1623	C₄	—	2	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	47	1	no	—
1626	C₄	—	47	1	no	—
1627	C₄	—	94	1	no	—
1628	C₄	—	94	2	no	—
1629	C₄	—	94	1	no	—
1630	C₄	—	188	1	no	—
1631	C₄	—	188	2	no	—
1632	C₄	C₂²×D₄×D₄₇	1	1	yes	characteristic
1633	C₄	C₂²×D₄×D₄₇	1	1	yes	characteristic
1634	C₂	—	2	1	no	—
1635	C₂	—	4	2	no	—
1636	C₂	—	4	1	no	—
1637	C₂	—	4	1	no	—
1638	C₂	—	8	2	no	—
1639	C₂	—	8	2	no	—
1640	C₂	—	94	1	no	—
1641	C₂	—	94	1	no	—
1642	C₂	—	376	2	no	—
1643	C₂	—	188	2	no	—
1644	C₂	—	188	1	no	—
1645	C₂	—	188	1	no	—
1646	C₂	D₄²×D₄₇	1	1	yes	characteristic

	subgroup	G/H
center	C₂	D₄²×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3292	C₂
socle	C₂×C₄₇	C₂×D₄²
hypercenter	#3292	D₄₇
hypocenter	C₄₇	#61106
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #3292

Complements

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

N	H ≅ G/N	type
1. #20258163	C₂	semidirect
2. #20258156	C₂	semidirect
3. #576×D₄₇	C₂	semidirect
4. #20255187	C₂	semidirect
5. #20255186	C₂	semidirect
6. #20255185	C₂	semidirect
7. #20255176	C₂	semidirect
8. #20255175	C₂	semidirect
9. #20255170	C₂	semidirect
10. #20255169	C₂	semidirect
11. #20255152	C₂	semidirect
12. #20255151	C₂	semidirect
13. #20255149	C₂	semidirect
14. #20255149	C₂	semidirect
15. #20253868	C₂	semidirect
16. #20253114	C₂	semidirect
17. #20253106	C₂	semidirect
18. #472×D₄₇	C₂	semidirect
19. #20252756	C₂	semidirect
20. #20252742	C₂	semidirect
21. #20252300	C₂	semidirect
22. #20252286	C₂	semidirect
23. C₄₇×#3292	C₂	semidirect
24. #15689958	C₂²	semidirect
25. H(5,𝔽₂)×D₄₇	C₂²	semidirect
26. #15689940	C₂²	semidirect
28. #15689937	C₂²	semidirect
29. #15689935	C₂²	semidirect
30. #15689934	C₂²	semidirect
31. #15689934	C₂²	semidirect
34. #15689933	C₂²	semidirect
35. #15689933	C₂²	semidirect
37. #15689930	C₂²	semidirect
38. #15689928	C₂²	semidirect
41. #15689927	C₂²	semidirect
42. #15689927	C₂²	semidirect
43. #15689926	C₂²	semidirect
44. #15689926	C₂²	semidirect
46. #15689925	C₂²	semidirect
50. #15689924	C₂²	semidirect
51. #15689924	C₂²	semidirect
52. #15689924	C₂²	semidirect
57. #15689919	C₂²	semidirect
58. #15689919	C₂²	semidirect
60. C₂×#13094048	C₂²	semidirect
63. AGL(1,ℤ/8)×D₄₇	C₂²	semidirect
64. AGL(1,ℤ/8)×D₄₇	C₂²	semidirect
66. C₂×#13094043	C₂²	semidirect
71. C₂×D₈×D₄₇	C₂²	semidirect
72. #15689888	C₂²	semidirect
73. #131×D₄₇	C₂²	semidirect
74. #131×D₄₇	C₂²	semidirect
75. #15689686	C₂²	semidirect
76. #15689511	C₂²	semidirect
77. #15689510	C₂²	semidirect
78. #15689507	C₂²	semidirect
79. #15689506	C₂²	semidirect
80. #15689498	C₂²	semidirect
81. #15689399	C₂²	semidirect
82. #15689398	C₂²	semidirect
83. #15689394	C₂²	semidirect
84. #15689393	C₂²	semidirect
85. #15689392	C₂²	semidirect
86. #15689392	C₂²	semidirect
87. #15689391	C₂²	semidirect
88. #15689391	C₂²	semidirect
89. #15689390	C₂²	semidirect
90. #15689390	C₂²	semidirect
91. #15689390	C₂²	semidirect
92. #15689387	C₂²	semidirect
93. #15689386	C₂²	semidirect
94. #15689385	C₂²	semidirect
95. #15689385	C₂²	semidirect
96. #15689384	C₂²	semidirect
97. #15689384	C₂²	semidirect
98. #15689303	C₂²	semidirect
99. #15689302	C₂²	semidirect
100. #15689302	C₂²	semidirect
101. #15689301	C₂²	semidirect
102. #15689297	C₂²	semidirect
103. #15689297	C₂²	semidirect
104. #15689294	C₂²	semidirect
105. #15689294	C₂²	semidirect
106. #15689293	C₂²	semidirect
107. #15689291	C₂²	semidirect
108. #15689290	C₂²	semidirect
109. #15689290	C₂²	semidirect
110. #15689289	C₂²	semidirect
111. #15689289	C₂²	semidirect
112. #15689245	C₂²	semidirect
113. #15689244	C₂²	semidirect
114. #15689243	C₂²	semidirect
115. #15689242	C₂²	semidirect
116. #15689242	C₂²	semidirect
117. #15689242	C₂²	semidirect
118. #15689241	C₂²	semidirect
119. #15689241	C₂²	semidirect
120. #15689240	C₂²	semidirect
121. #15689239	C₂²	semidirect
122. #15689238	C₂²	semidirect
123. #15689238	C₂²	semidirect
124. #15689170	C₂²	semidirect
125. #108×D₄₇	C₂²	semidirect
126. #15689138	C₂²	semidirect
127. #15689138	C₂²	semidirect
128. #15689138	C₂²	semidirect
129. #15689104	C₂²	semidirect
130. #100×D₄₇	C₂²	semidirect
131. #15689077	C₂²	semidirect
132. C₄₇×#576	C₂²	semidirect
133. C₄₇×#576	C₂²	semidirect
134. C₄₇×#576	C₂²	semidirect
135. C₄₇×#493	C₂²	semidirect
136. C₄₇×#472	C₂²	semidirect
137. C₄₇×#472	C₂²	semidirect
138. C₄₇×#472	C₂²	semidirect
139. C₄₇×#453	C₂²	semidirect
140. C₄₇×#453	C₂²	semidirect
141. C₄₇×#443	C₂²	semidirect
142. C₄₇×#443	C₂²	semidirect
145. #13094071	C₂³	semidirect
146. #13094071	C₂³	semidirect
158. #13094069	C₂³	semidirect
177. #13094057	C₂³	semidirect
179. #13094056	D₄	semidirect
180. #13094056	D₄	semidirect
184. #13094054	C₂³	semidirect
190. #13094053	D₄	semidirect
191. #13094053	D₄	semidirect
195. #13094052	C₂³	semidirect
201. #13094051	D₄	semidirect
202. #13094051	D₄	semidirect
209. #13094050	C₂³	semidirect
210. #13094050	C₂³	semidirect
214. #13094049	C₂³	semidirect
232. #13094048	D₄	semidirect
233. #13094048	D₄	semidirect
235. #13094047	D₄	semidirect
246. #13094045	D₄	semidirect
266. #13094043	D₄	semidirect
268. C₂×Dic₁₈₈	C₂³	semidirect
270. Q₁₆×D₄₇	D₄	semidirect
272. C₂×#10625325	C₂³	semidirect
275. C₂×#10625335	C₂³	semidirect
276. C₂×#10625335	C₂³	semidirect
282. SD₁₆×D₄₇	D₄	semidirect
288. C₂×#10625334	C₂³	semidirect
301. D₈×D₄₇	D₄	semidirect
306. #13094032	C₂³	semidirect
307. #13094032	C₂³	semidirect
309. #13094031	C₂³	semidirect
310. #13094031	C₂³	semidirect
315. #13094030	C₂³	semidirect
316. #13094030	C₂³	semidirect
328. #13094020	C₂³	semidirect
329. #13094012	C₂³	semidirect
330. #13094011	C₂³	semidirect
334. #13093960	C₂³	semidirect
335. #13093960	C₂³	semidirect
336. #13093959	C₂³	semidirect
337. #13093959	C₂³	semidirect
338. #13093959	C₂³	semidirect
340. #13093952	C₂³	semidirect
341. #13093952	C₂³	semidirect
343. #13093951	C₂³	semidirect
344. #13093951	C₂³	semidirect
346. #13093950	C₂³	semidirect
347. #13093950	C₂³	semidirect
348. #13093942	C₂³	semidirect
349. #13093942	C₂³	semidirect
350. #13093941	C₂³	semidirect
351. #13093941	C₂³	semidirect
352. #13093940	C₂³	semidirect
353. #13093940	C₂³	semidirect
354. #13093935	C₂³	semidirect
355. #13093934	C₂³	semidirect
356. C₈×Dic₄₇	C₂³	semidirect
358. H(5,𝔽₂)×C₄₇	C₂³	semidirect
365. AGL(1,ℤ/8)×C₄₇	C₂³	semidirect
366. AGL(1,ℤ/8)×C₄₇	C₂³	semidirect
376. C₂×D₈×C₄₇	C₂³	semidirect
377. C₂×D₈×C₄₇	C₂³	semidirect
379. #131×C₄₇	C₂³	semidirect
380. #131×C₄₇	C₂³	semidirect
381. #127×C₄₇	C₂³	semidirect
382. #108×C₄₇	C₂³	semidirect
383. #108×C₄₇	C₂³	semidirect
385. #104×C₄₇	C₂³	semidirect
386. #104×C₄₇	C₂³	semidirect
387. #100×C₄₇	C₂³	semidirect
388. #100×C₄₇	C₂³	semidirect
389. C₄×C₈×C₄₇	C₂³	semidirect
817. #3292	D₄₇	semidirect
876. #576	C₂×D₄₇	semidirect
877. #576	C₂×D₄₇	semidirect
878. #576	C₂×D₄₇	semidirect
907. #493	C₂×D₄₇	semidirect
919. #472	C₂×D₄₇	semidirect
920. #472	C₂×D₄₇	semidirect
921. #472	C₂×D₄₇	semidirect
942. #453	C₂×D₄₇	semidirect
943. #453	C₂×D₄₇	semidirect
956. #443	C₂×D₄₇	semidirect
957. #443	C₂×D₄₇	semidirect
966. C₄₇	#61106	semidirect
984. H(5,𝔽₂)	C₂²×D₄₇	semidirect
1066. AGL(1,ℤ/8)	C₂²×D₄₇	semidirect
1067. AGL(1,ℤ/8)	C₂²×D₄₇	semidirect
1145. C₂×D₈	C₂²×D₄₇	semidirect
1146. C₂×D₈	C₂²×D₄₇	semidirect
1163. #131	C₂²×D₄₇	semidirect
1164. #131	C₂²×D₄₇	semidirect
1177. #127	C₂²×D₄₇	semidirect
1188. #108	C₂²×D₄₇	semidirect
1189. #108	C₂²×D₄₇	semidirect
1200. #104	C₂²×D₄₇	semidirect
1201. #104	C₂²×D₄₇	semidirect
1208. #100	C₂²×D₄₇	semidirect
1209. #100	C₂²×D₄₇	semidirect
1213. C₄×C₈	C₂²×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20258163	2
#20258156	2
#576×D₄₇	2
#20255187	2
#20255186	2
#20255185	2
#20255176	2
#20255175	2
#20255170	2
#20255169	2
#20255152	2
#20255151	2
#20255149	2
#20253868	2
#20253114	2
#20253106	2
#472×D₄₇	2
#20252756	2
#20252742	2
#20252300	2
#20252286	2
C₄₇×#3292	2
#61106	47