Subgroups — D₄₇×#3290 #27092480

Order 12032.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#578×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
2	#577×D₄₇	C₂	1	2	yes	maximal, complemented
3	#576×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
4	#20255177	C₂	1	1	yes	maximal, characteristic, complemented
5	#20255176	C₂	1	1	yes	maximal, characteristic, complemented
6	#20255175	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255174	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255173	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255172	C₂	1	2	yes	maximal, complemented
10	#20255171	C₂	1	2	yes	maximal, complemented
11	#20255170	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255169	C₂	1	1	yes	maximal, characteristic, complemented
13	#20255168	C₂	1	2	yes	maximal, complemented
14	#20255167	C₂	1	2	yes	maximal, complemented
15	#495×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
16	#473×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
17	#472×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
18	#471×D₄₇	C₂	1	2	yes	maximal, complemented
19	#454×D₄₇	C₂	1	2	yes	maximal, complemented
20	#455×D₄₇	C₂	1	2	yes	maximal, complemented
21	#443×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
22	#443×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3290	C₂	1	1	yes	maximal, characteristic, complemented
24	2₋¹⁺⁴×D₄₇	C₂²	1	2	yes	complemented
25	H(5,𝔽₂)×D₄₇	C₂²	1	2	yes	—
26	#15689940	C₂²	1	1	yes	characteristic, complemented
27	#15689939	—	2	2	no	—
28	#15689939	C₂²	1	2	yes	complemented
29	#15689938	C₂²	1	2	yes	complemented
30	#15689937	—	2	1	no	—
31	#15689937	C₂²	1	1	yes	characteristic, complemented
32	#15689936	—	2	1	no	—
33	#15689936	C₂²	1	1	yes	characteristic, complemented
34	#15689935	C₂²	1	2	yes	complemented
35	#15689934	C₂²	1	2	yes	complemented
36	#15689933	—	2	2	no	—
37	#15689933	C₂²	1	2	yes	complemented
38	#15689932	—	2	2	no	—
39	#15689932	C₂²	1	2	yes	complemented
40	#15689931	C₂²	1	2	yes	complemented
41	#15689930	—	2	2	no	—
42	#15689930	C₂²	1	2	yes	complemented
43	#15689929	—	2	2	no	—
44	#15689929	C₂²	1	2	yes	complemented
45	#15689928	C₂²	1	1	yes	characteristic, complemented
46	#15689927	—	2	2	no	—
47	#15689927	C₂²	1	2	yes	complemented
48	#15689926	C₂²	1	2	yes	complemented
49	#15689925	—	2	1	no	—
50	#15689925	C₂²	1	1	yes	characteristic, complemented
51	#15689924	—	2	1	no	—
52	#15689924	C₂²	1	1	yes	characteristic, complemented
53	#137×D₄₇	—	2	2	no	—
54	#137×D₄₇	—	2	2	no	—
55	#137×D₄₇	C₂²	1	2	yes	—
56	#137×D₄₇	C₂²	1	2	yes	complemented
57	AGL(1,ℤ/8)×D₄₇	—	2	2	no	—
58	AGL(1,ℤ/8)×D₄₇	—	2	2	no	—
59	AGL(1,ℤ/8)×D₄₇	C₂²	1	2	yes	—
60	AGL(1,ℤ/8)×D₄₇	C₂²	1	2	yes	complemented
61	#135×D₄₇	—	2	1	no	—
62	#135×D₄₇	—	2	2	no	—
63	#135×D₄₇	—	2	1	no	—
64	#135×D₄₇	C₂²	1	1	yes	characteristic
65	#135×D₄₇	C₂²	1	1	yes	characteristic
66	C₂×Q₁₆×D₄₇	—	2	1	no	—
67	C₂×Q₁₆×D₄₇	C₂²	1	1	yes	characteristic, complemented
68	C₂×SD₁₆×D₄₇	—	2	2	no	—
69	C₂×SD₁₆×D₄₇	C₂²	1	2	yes	complemented
70	C₂×D₈×D₄₇	—	2	1	no	—
71	C₂×D₈×D₄₇	C₂²	1	1	yes	characteristic
72	#131×D₄₇	C₂²	1	1	yes	characteristic
73	#131×D₄₇	C₂²	1	2	yes	complemented
74	#131×D₄₇	C₂²	1	1	yes	characteristic, complemented
75	#124×D₄₇	C₂²	1	2	yes	complemented
76	#15689508	C₂²	1	1	yes	characteristic, complemented
77	#15689507	C₂²	1	1	yes	characteristic, complemented
78	#15689506	C₂²	1	1	yes	characteristic, complemented
79	#15689505	C₂²	1	2	yes	complemented
80	#15689504	C₂²	1	2	yes	complemented
81	#15689399	C₂²	1	1	yes	characteristic, complemented
82	#15689398	C₂²	1	1	yes	characteristic, complemented
83	#15689397	C₂²	1	2	yes	complemented
84	#15689396	C₂²	1	2	yes	complemented
85	#15689395	C₂²	1	1	yes	characteristic, complemented
86	#15689394	C₂²	1	1	yes	characteristic, complemented
87	#15689393	C₂²	1	1	yes	characteristic, complemented
88	#15689392	C₂²	1	2	yes	complemented
89	#15689391	C₂²	1	2	yes	complemented
90	#15689390	C₂²	1	1	yes	characteristic, complemented
91	#15689389	C₂²	1	2	yes	complemented
92	#15689388	C₂²	1	2	yes	complemented
93	#15689387	C₂²	1	2	yes	complemented
94	#15689386	C₂²	1	2	yes	complemented
95	#15689385	C₂²	1	2	yes	complemented
96	#15689384	C₂²	1	2	yes	complemented
97	#15689383	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	#15689300	C₂²	1	2	yes	complemented
103	#15689299	C₂²	1	2	yes	complemented
104	#15689299	C₂²	1	2	yes	complemented
105	#15689298	C₂²	1	2	yes	complemented
106	#15689297	C₂²	1	2	yes	complemented
107	#15689297	C₂²	1	2	yes	complemented
108	#15689296	C₂²	1	2	yes	complemented
109	#15689295	C₂²	1	2	yes	complemented
110	#15689294	C₂²	1	2	yes	complemented
111	#15689294	C₂²	1	2	yes	complemented
112	#15689241	C₂²	1	1	yes	characteristic, complemented
113	#15689241	C₂²	1	1	yes	characteristic, complemented
114	#15689240	C₂²	1	1	yes	characteristic, complemented
115	#15689240	C₂²	1	1	yes	characteristic, complemented
116	#15689239	C₂²	1	1	yes	characteristic, complemented
117	#15689239	C₂²	1	1	yes	characteristic, complemented
118	#15689238	C₂²	1	1	yes	characteristic, complemented
119	#15689238	C₂²	1	1	yes	characteristic, complemented
120	#15689238	C₂²	1	2	yes	complemented
121	#15689237	C₂²	1	1	yes	characteristic, complemented
122	#15689237	C₂²	1	1	yes	characteristic, complemented
123	#15689237	C₂²	1	2	yes	complemented
124	#108×D₄₇	C₂²	1	1	yes	characteristic, complemented
125	#108×D₄₇	C₂²	1	1	yes	characteristic, complemented
126	#104×D₄₇	C₂²	1	1	yes	characteristic
127	#104×D₄₇	C₂²	1	2	yes	complemented
128	#104×D₄₇	C₂²	1	1	yes	characteristic, complemented
129	#101×D₄₇	C₂²	1	2	yes	complemented
130	#100×D₄₇	C₂²	1	2	yes	complemented
131	C₄×C₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#578	C₂²	1	1	yes	characteristic, complemented
133	C₄₇×#577	C₂²	1	2	yes	complemented
134	C₄₇×#576	C₂²	1	1	yes	characteristic, complemented
135	C₄₇×#495	C₂²	1	1	yes	characteristic, complemented
136	C₄₇×#473	C₂²	1	1	yes	characteristic, complemented
137	C₄₇×#472	C₂²	1	1	yes	characteristic, complemented
138	C₄₇×#471	C₂²	1	2	yes	complemented
139	C₄₇×#455	C₂²	1	2	yes	complemented
140	C₄₇×#454	C₂²	1	2	yes	complemented
141	C₄₇×#443	C₂²	1	1	yes	characteristic, complemented
142	C₄₇×#443	C₂²	1	1	yes	characteristic, complemented
143	#13094072	—	2	2	no	—
144	#13094072	—	2	2	no	—
145	#13094072	C₂³	1	2	yes	complemented
146	#13094071	—	2	2	no	—
147	#13094071	—	2	2	no	—
148	#13094071	—	4	2	no	—
149	#13094071	C₂³	1	2	yes	complemented
150	#13094071	C₂³	1	2	yes	complemented
151	#13094070	—	2	2	no	—
152	#13094070	—	2	2	no	—
153	#13094070	C₂³	1	2	yes	—
154	#13094070	C₂³	1	2	yes	—
155	#13094069	—	2	2	no	—
156	#13094069	—	2	2	no	—
157	#13094069	—	4	2	no	—
158	#13094069	C₂³	1	2	yes	—
159	#41×D₄₇	—	2	2	no	—
160	#41×D₄₇	—	2	2	no	—
161	#41×D₄₇	—	2	2	no	—
162	#41×D₄₇	—	2	2	no	—
163	#41×D₄₇	—	4	2	no	—
164	#41×D₄₇	C₂³	1	1	yes	characteristic
165	#41×D₄₇	C₂³	1	2	yes	—
166	#41×D₄₇	C₂³	1	1	yes	characteristic
167	C₂×Q₈×D₄₇	—	2	2	no	—
168	C₂×Q₈×D₄₇	—	2	2	no	—
169	C₂×Q₈×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	—	2	2	no	—
180	#13094056	—	2	2	no	—
181	#13094056	—	2	2	no	—
182	#13094056	—	2	2	no	—
183	#13094056	—	2	2	no	—
184	#13094055	—	2	2	no	—
185	#13094055	—	2	2	no	—
186	#13094055	C₂³	1	2	yes	—
187	#13094055	C₂³	1	2	yes	complemented
188	#13094054	—	2	2	no	—
189	#13094054	—	2	2	no	—
190	#13094054	C₂³	1	2	yes	—
191	#13094054	C₂³	1	2	yes	complemented
192	#13094053	—	2	2	no	—
193	#13094053	—	2	2	no	—
194	#13094053	—	2	2	no	—
195	#13094053	—	2	2	no	—
196	#13094053	—	2	2	no	—
197	#13094053	—	2	2	no	—
198	#13094052	—	2	2	no	—
199	#13094052	—	2	2	no	—
200	#13094052	C₂³	1	2	yes	—
201	#13094052	C₂³	1	2	yes	complemented
202	#13094051	—	2	2	no	—
203	#13094051	—	2	2	no	—
204	#13094051	—	2	2	no	—
205	#13094051	—	2	2	no	—
206	#13094051	—	2	2	no	—
207	#13094051	—	2	2	no	—
208	#13094050	—	2	2	no	—
209	#13094050	—	2	2	no	—
210	#13094050	C₂³	1	2	yes	—
211	#13094050	C₂³	1	2	yes	complemented
212	#13094049	—	2	2	no	—
213	#13094049	—	2	2	no	—
214	#13094049	C₂³	1	2	yes	—
215	#13094049	C₂³	1	2	yes	complemented
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	#13094047	—	2	1	no	—
223	#13094047	—	2	2	no	—
224	#13094047	—	2	1	no	—
225	#13094047	D₄	1	1	yes	characteristic
226	#13094047	D₄	1	1	yes	characteristic
227	#13094046	—	2	1	no	—
228	#13094046	—	2	1	no	—
229	#13094046	—	2	2	no	—
230	#13094046	C₂³	1	1	yes	characteristic
231	#13094046	C₂³	1	1	yes	characteristic
232	#13094045	—	2	2	no	—
233	#13094045	—	2	2	no	—
234	#13094045	—	2	2	no	—
235	#13094045	—	2	2	no	—
236	#13094045	D₄	1	2	yes	—
237	#13094045	D₄	1	1	yes	characteristic
238	#13094045	D₄	1	1	yes	characteristic
239	#13094044	—	2	2	no	—
240	#13094044	—	2	2	no	—
241	#13094044	—	2	2	no	—
242	#13094044	—	2	2	no	—
243	#13094044	C₂³	1	2	yes	—
244	#13094044	C₂³	1	1	yes	characteristic
245	#13094044	C₂³	1	1	yes	characteristic
246	#13094043	—	2	1	no	—
247	#13094043	—	2	2	no	—
248	#13094043	—	2	1	no	—
249	#13094043	D₄	1	1	yes	characteristic
250	#13094043	D₄	1	1	yes	characteristic
251	C₂×Dic₁₈₈	—	2	1	no	—
252	C₂×Dic₁₈₈	C₂³	1	1	yes	characteristic, complemented
253	C₂×#10625337	—	2	2	no	—
254	C₂×#10625337	C₂³	1	2	yes	complemented
255	Q₁₆×D₄₇	—	2	2	no	—
256	Q₁₆×D₄₇	—	2	2	no	—
257	Q₁₆×D₄₇	—	2	1	no	—
258	Q₁₆×D₄₇	—	2	2	no	—
259	Q₁₆×D₄₇	—	2	1	no	—
260	Q₁₆×D₄₇	—	2	1	no	—
261	Q₁₆×D₄₇	—	2	1	no	—
262	Q₁₆×D₄₇	—	2	1	no	—
263	Q₁₆×D₄₇	—	2	1	no	—
264	Q₁₆×D₄₇	D₄	1	1	yes	characteristic
265	Q₁₆×D₄₇	D₄	1	1	yes	characteristic
266	C₂×#10625325	—	2	2	no	—
267	C₂×#10625325	C₂³	1	2	yes	complemented
268	C₂×#10625335	—	2	2	no	—
269	C₂×#10625335	C₂³	1	2	yes	complemented
270	C₂×#10625336	—	2	2	no	—
271	C₂×#10625336	C₂³	1	2	yes	complemented
272	SD₁₆×D₄₇	—	2	2	no	—
273	SD₁₆×D₄₇	—	2	2	no	—
274	SD₁₆×D₄₇	—	2	2	no	—
275	SD₁₆×D₄₇	—	2	2	no	—
276	SD₁₆×D₄₇	—	2	2	no	—
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	—	2	2	no	—
283	SD₁₆×D₄₇	—	2	2	no	—
284	SD₁₆×D₄₇	D₄	1	1	yes	characteristic
285	SD₁₆×D₄₇	D₄	1	1	yes	characteristic
286	SD₁₆×D₄₇	D₄	1	2	yes	—
287	C₂×D₃₇₆	—	2	1	no	—
288	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
289	C₂×#10625334	—	2	2	no	—
290	C₂×#10625334	C₂³	1	2	yes	—
291	D₈×D₄₇	—	2	2	no	—
292	D₈×D₄₇	—	2	2	no	—
293	D₈×D₄₇	—	2	1	no	—
294	D₈×D₄₇	—	2	2	no	—
295	D₈×D₄₇	—	2	1	no	—
296	D₈×D₄₇	—	2	1	no	—
297	D₈×D₄₇	—	2	1	no	—
298	D₈×D₄₇	—	2	1	no	—
299	D₈×D₄₇	—	2	1	no	—
300	D₈×D₄₇	D₄	1	1	yes	characteristic
301	D₈×D₄₇	D₄	1	1	yes	characteristic
302	#13094032	—	2	1	no	—
303	#13094032	—	2	2	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	1	no	—
312	#13094030	—	2	2	no	—
313	#13094030	—	2	1	no	—
314	#13094030	C₂³	1	1	yes	characteristic
315	#13094030	C₂³	1	2	yes	complemented
316	#13094030	C₂³	1	1	yes	characteristic, complemented
317	M₁₆×D₄₇	—	2	1	no	—
318	M₁₆×D₄₇	—	2	2	no	—
319	M₁₆×D₄₇	—	2	1	no	—
320	M₁₆×D₄₇	C₂³	1	1	yes	characteristic
321	M₁₆×D₄₇	C₂³	1	2	yes	—
322	M₁₆×D₄₇	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₄₇	—	2	1	no	—
324	C₂×C₈×D₄₇	—	2	2	no	—
325	C₂×C₈×D₄₇	—	2	1	no	—
326	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₄₇	C₂³	1	1	yes	characteristic
328	#13094013	C₂³	1	2	yes	complemented
329	#13094012	C₂³	1	2	yes	complemented
330	#13094011	C₂³	1	2	yes	complemented
331	#13094010	—	4	2	no	—
332	C₂²⋊C₄×D₄₇	—	4	2	no	—
333	C₄²×D₄₇	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	#13093943	C₂³	1	2	yes	complemented
349	#13093942	C₂³	1	2	yes	complemented
350	#13093942	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	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic, complemented
355	C₈×Dic₄₇	C₂³	1	1	yes	characteristic, complemented
356	C₈×Dic₄₇	C₂³	1	1	yes	characteristic, complemented
357	2₋¹⁺⁴×C₄₇	C₂³	1	2	yes	complemented
358	H(5,𝔽₂)×C₄₇	C₂³	1	2	yes	—
359	#137×C₄₇	—	2	2	no	—
360	#137×C₄₇	—	2	2	no	—
361	#137×C₄₇	C₂³	1	2	yes	—
362	#137×C₄₇	C₂³	1	2	yes	complemented
363	AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
364	AGL(1,ℤ/8)×C₄₇	—	2	2	no	—
365	AGL(1,ℤ/8)×C₄₇	C₂³	1	2	yes	—
366	AGL(1,ℤ/8)×C₄₇	C₂³	1	2	yes	complemented
367	#135×C₄₇	—	2	1	no	—
368	#135×C₄₇	—	2	2	no	—
369	#135×C₄₇	—	2	1	no	—
370	#135×C₄₇	C₂³	1	1	yes	characteristic
371	#135×C₄₇	C₂³	1	1	yes	characteristic
372	C₂×Q₁₆×C₄₇	—	2	1	no	—
373	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic, complemented
374	C₂×SD₁₆×C₄₇	—	2	2	no	—
375	C₂×SD₁₆×C₄₇	C₂³	1	2	yes	complemented
376	C₂×D₈×C₄₇	—	2	1	no	—
377	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
378	#131×C₄₇	C₂³	1	1	yes	characteristic
379	#131×C₄₇	C₂³	1	2	yes	complemented
380	#131×C₄₇	C₂³	1	1	yes	characteristic, complemented
381	#124×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	#101×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	—	4	2	no	—
397	#41×C₄₇	C₂⁴	1	1	yes	characteristic
398	#41×C₄₇	C₂⁴	1	2	yes	—
399	#41×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₂×Q₈×C₄₇	—	2	2	no	—
401	C₂×Q₈×C₄₇	—	2	2	no	—
402	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
403	C₂×D₄×C₄₇	—	2	2	no	—
404	C₂×D₄×C₄₇	—	2	2	no	—
405	C₂×D₄×C₄₇	—	4	2	no	—
406	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
407	C₂×C₂²⋊D₄₇	—	2	2	no	—
408	C₂×C₂²⋊D₄₇	—	4	2	no	—
409	C₂×C₂²⋊D₄₇	—	4	2	no	—
410	C₂×C₂²⋊D₄₇	—	4	2	no	—
411	C₂×C₂²⋊D₄₇	—	4	2	no	—
412	#10625354	—	2	2	no	—
413	#10625354	—	2	2	no	—
414	#10625354	—	2	2	no	—
415	#10625354	—	2	2	no	—
416	#10625354	—	4	2	no	—
417	#10625354	C₂×D₄	1	1	yes	characteristic
418	#10625354	C₂×D₄	1	2	yes	—
419	#10625354	C₂×D₄	1	1	yes	characteristic
420	Q₈×D₄₇	—	2	2	no	—
421	Q₈×D₄₇	—	2	2	no	—
422	Q₈×D₄₇	—	2	2	no	—
423	Q₈×D₄₇	—	2	2	no	—
424	Q₈×D₄₇	—	2	2	no	—
425	Q₈×D₄₇	—	2	2	no	—
426	Q₈×D₄₇	—	2	2	no	—
427	Q₈×D₄₇	—	2	2	no	—
428	Q₈×D₄₇	—	4	2	no	—
429	Q₈×D₄₇	—	4	2	no	—
430	Q₈×D₄₇	—	4	2	no	—
431	Q₈×D₄₇	C₂×D₄	1	1	yes	characteristic
432	Q₈×D₄₇	C₂×D₄	1	2	yes	—
433	Q₈×D₄₇	C₂×D₄	1	1	yes	characteristic
434	#10625352	—	2	1	no	—
435	#10625352	—	2	2	no	—
436	#10625352	—	2	1	no	—
437	#10625352	—	2	2	no	—
438	#10625352	—	2	2	no	—
439	#10625352	—	2	2	no	—
440	#10625352	—	2	2	no	—
441	#10625352	—	4	2	no	—
442	#10625352	—	4	2	no	—
443	#10625352	—	4	2	no	—
444	#10625352	—	4	2	no	—
445	#10625352	—	4	2	no	—
446	#10625352	—	4	2	no	—
447	#10625352	—	4	2	no	—
448	#10625352	C₂×D₄	1	1	yes	characteristic
449	#10625352	C₂×D₄	1	2	yes	—
450	#10625352	C₂×D₄	1	1	yes	characteristic
451	D₄×D₄₇	—	2	1	no	—
452	D₄×D₄₇	—	2	2	no	—
453	D₄×D₄₇	—	2	1	no	—
454	D₄×D₄₇	—	2	2	no	—
455	D₄×D₄₇	—	2	2	no	—
456	D₄×D₄₇	—	2	2	no	—
457	D₄×D₄₇	—	2	2	no	—
458	D₄×D₄₇	—	2	2	no	—
459	D₄×D₄₇	—	2	2	no	—
460	D₄×D₄₇	—	2	2	no	—
461	D₄×D₄₇	—	2	2	no	—
462	D₄×D₄₇	—	4	2	no	—
463	D₄×D₄₇	—	4	2	no	—
464	D₄×D₄₇	—	4	2	no	—
465	D₄×D₄₇	—	4	2	no	—
466	D₄×D₄₇	—	4	2	no	—
467	D₄×D₄₇	—	4	2	no	—
468	D₄×D₄₇	—	4	2	no	—
469	D₄×D₄₇	—	4	2	no	—
470	D₄×D₄₇	—	4	2	no	—
471	D₄×D₄₇	C₂×D₄	1	1	yes	characteristic
472	D₄×D₄₇	C₂×D₄	1	2	yes	—
473	D₄×D₄₇	C₂×D₄	1	1	yes	characteristic
474	#10625350	—	2	1	no	—
475	#10625350	—	2	2	no	—
476	#10625350	—	2	1	no	—
477	#10625350	—	2	2	no	—
478	#10625350	—	2	2	no	—
479	#10625350	—	2	2	no	—
480	#10625350	—	2	2	no	—
481	#10625350	—	4	2	no	—
482	#10625350	—	4	2	no	—
483	#10625350	—	4	2	no	—
484	#10625350	—	4	2	no	—
485	#10625350	—	4	2	no	—
486	#10625350	—	4	2	no	—
487	#10625350	—	4	2	no	—
488	#10625350	C₂⁴	1	1	yes	characteristic
489	#10625350	C₂⁴	1	2	yes	—
490	#10625350	C₂⁴	1	1	yes	characteristic
491	C₂×D₁₈₈	—	2	2	no	—
492	C₂×D₁₈₈	—	2	2	no	—
493	C₂×D₁₈₈	—	4	2	no	—
494	C₂×D₁₈₈	C₂⁴	1	2	yes	—
495	C₂×C₄×D₄₇	—	2	1	no	—
496	C₂×C₄×D₄₇	—	2	2	no	—
497	C₂×C₄×D₄₇	—	2	1	no	—
498	C₂×C₄×D₄₇	—	2	1	no	—
499	C₂×C₄×D₄₇	—	2	2	no	—
500	C₂×C₄×D₄₇	—	4	2	no	—
501	C₂×C₄×D₄₇	—	4	2	no	—
502	C₂×C₄×D₄₇	—	4	2	no	—
503	C₂×C₄×D₄₇	C₂⁴	1	1	yes	characteristic
504	C₂×Dic₉₄	—	2	2	no	—
505	C₂×Dic₉₄	—	2	2	no	—
506	C₂×Dic₉₄	—	2	2	no	—
507	C₂×Dic₉₄	—	4	2	no	—
508	C₂×Dic₉₄	—	4	2	no	—
509	C₂×Dic₉₄	C₂⁴	1	2	yes	—
510	Q₁₆×C₄₇	—	2	2	no	—
511	Q₁₆×C₄₇	—	2	2	no	—
512	Q₁₆×C₄₇	—	2	1	no	—
513	Q₁₆×C₄₇	—	2	1	no	—
514	Q₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
515	Q₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
516	SD₁₆×C₄₇	—	2	2	no	—
517	SD₁₆×C₄₇	—	2	2	no	—
518	SD₁₆×C₄₇	—	2	2	no	—
519	SD₁₆×C₄₇	—	2	2	no	—
520	SD₁₆×C₄₇	—	2	2	no	—
521	SD₁₆×C₄₇	—	2	2	no	—
522	SD₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
523	SD₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
524	SD₁₆×C₄₇	C₂×D₄	1	2	yes	—
525	D₈×C₄₇	—	2	2	no	—
526	D₈×C₄₇	—	2	2	no	—
527	D₈×C₄₇	—	2	1	no	—
528	D₈×C₄₇	—	2	1	no	—
529	D₈×C₄₇	C₂×D₄	1	1	yes	characteristic
530	D₈×C₄₇	C₂×D₄	1	1	yes	characteristic
531	M₁₆×C₄₇	—	2	1	no	—
532	M₁₆×C₄₇	—	2	2	no	—
533	M₁₆×C₄₇	—	2	1	no	—
534	M₁₆×C₄₇	C₂⁴	1	1	yes	characteristic
535	M₁₆×C₄₇	C₂⁴	1	1	yes	characteristic
536	M₁₆×C₄₇	C₂⁴	1	2	yes	—
537	C₂×C₈×C₄₇	—	2	1	no	—
538	C₂×C₈×C₄₇	—	2	2	no	—
539	C₂×C₈×C₄₇	—	2	1	no	—
540	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
541	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
542	C₂²⋊C₄×C₄₇	—	4	2	no	—
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	—	2	2	no	—
548	#10625337	—	2	2	no	—
549	#10625337	—	2	2	no	—
550	#10625337	—	2	2	no	—
551	#10625337	C₂×D₄	1	2	yes	—
552	#10625337	C₂×D₄	1	1	yes	characteristic
553	#10625337	C₂×D₄	1	1	yes	characteristic
554	#10625336	—	2	2	no	—
555	#10625336	—	2	2	no	—
556	#10625336	—	2	2	no	—
557	#10625336	—	2	2	no	—
558	#10625336	—	2	2	no	—
559	#10625336	—	2	2	no	—
560	#10625336	C₂×D₄	1	1	yes	characteristic
561	#10625336	C₂×D₄	1	1	yes	characteristic
562	#10625336	C₂×D₄	1	2	yes	—
563	#10625335	—	2	2	no	—
564	#10625335	—	2	2	no	—
565	#10625335	—	2	2	no	—
566	#10625335	—	2	2	no	—
567	#10625335	—	2	2	no	—
568	#10625335	—	2	2	no	—
569	#10625335	C₂×D₄	1	1	yes	characteristic
570	#10625335	C₂×D₄	1	1	yes	characteristic
571	#10625335	C₂×D₄	1	2	yes	—
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	2	yes	—
579	#10625334	C₂×D₄	1	1	yes	characteristic
580	#10625334	C₂×D₄	1	1	yes	characteristic
581	(C₂×D₄₇)⋊C₄	—	4	2	no	—
582	(C₂×D₄₇)⋊C₄	—	4	2	no	—
583	C₄×Dic₄₇	—	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	2	no	—
593	C₂×C₄₇⋊C₈	—	2	1	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	1	yes	characteristic
615	#10625325	C₂×D₄	1	1	yes	characteristic
616	#10625325	C₂×D₄	1	2	yes	—
617	#10625324	—	2	1	no	—
618	#10625324	—	2	2	no	—
619	#10625324	—	2	1	no	—
620	#10625324	—	2	1	no	—
621	#10625324	—	2	2	no	—
622	#10625324	—	2	1	no	—
623	#10625324	—	2	1	no	—
624	#10625324	—	2	2	no	—
625	#10625324	—	2	1	no	—
626	C₈×D₄₇	—	2	1	no	—
627	C₈×D₄₇	—	2	2	no	—
628	C₈×D₄₇	—	2	1	no	—
629	C₈×D₄₇	—	2	1	no	—
630	C₈×D₄₇	—	2	2	no	—
631	C₈×D₄₇	—	2	1	no	—
632	C₈×D₄₇	—	2	1	no	—
633	C₈×D₄₇	—	2	2	no	—
634	C₈×D₄₇	—	2	1	no	—
635	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
636	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
637	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
638	C₈×D₄₇	C₂×D₄	1	1	yes	characteristic
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	—	4	2	no	—
645	C₂²×D₄₇	—	2	1	no	—
646	C₂²×D₄₇	—	2	2	no	—
647	C₂²×D₄₇	—	2	1	no	—
648	C₂²×D₄₇	—	2	2	no	—
649	C₂²×D₄₇	—	4	2	no	—
650	C₂²×D₄₇	—	4	2	no	—
651	C₂²×D₄₇	—	4	2	no	—
652	C₂²×D₄₇	—	4	2	no	—
653	C₂²×D₄₇	—	4	2	no	—
654	C₂²×D₄₇	—	8	4	no	—
655	C₂²×D₄₇	—	16	4	no	—
656	C₂²×D₄₇	H(5,𝔽₂)	1	1	yes	characteristic
657	Q₈×C₄₇	—	2	2	no	—
658	Q₈×C₄₇	—	2	2	no	—
659	Q₈×C₄₇	—	4	2	no	—
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	—	4	2	no	—
669	D₄×C₄₇	—	4	2	no	—
670	D₄×C₄₇	—	4	2	no	—
671	D₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
672	D₄×C₄₇	C₂²×D₄	1	2	yes	—
673	D₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
674	C₂×C₄×C₄₇	—	2	1	no	—
675	C₂×C₄×C₄₇	—	2	2	no	—
676	C₂×C₄×C₄₇	—	2	1	no	—
677	C₂×C₄×C₄₇	—	2	1	no	—
678	C₂×C₄×C₄₇	—	2	2	no	—
679	C₂×C₄×C₄₇	—	4	2	no	—
680	C₂×C₄×C₄₇	—	4	2	no	—
681	C₂×C₄×C₄₇	—	4	2	no	—
682	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
683	C₂²⋊D₄₇	—	2	1	no	—
684	C₂²⋊D₄₇	—	2	2	no	—
685	C₂²⋊D₄₇	—	2	1	no	—
686	C₂²⋊D₄₇	—	2	1	no	—
687	C₂²⋊D₄₇	—	2	2	no	—
688	C₂²⋊D₄₇	—	2	1	no	—
689	C₂²⋊D₄₇	—	2	1	no	—
690	C₂²⋊D₄₇	—	2	2	no	—
691	C₂²⋊D₄₇	—	2	1	no	—
692	C₂²⋊D₄₇	—	4	2	no	—
693	C₂²⋊D₄₇	—	4	2	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	C₂×Dic₄₇	—	2	1	no	—
701	C₂×Dic₄₇	—	2	2	no	—
702	C₂×Dic₄₇	—	2	1	no	—
703	C₂×Dic₄₇	—	2	1	no	—
704	C₂×Dic₄₇	—	2	2	no	—
705	C₂×Dic₄₇	—	4	2	no	—
706	C₂×Dic₄₇	—	4	2	no	—
707	C₂×Dic₄₇	—	4	2	no	—
708	C₂×Dic₄₇	H(5,𝔽₂)	1	1	yes	characteristic
709	D₁₈₈	—	2	1	no	—
710	D₁₈₈	—	2	2	no	—
711	D₁₈₈	—	2	1	no	—
712	D₁₈₈	—	2	2	no	—
713	D₁₈₈	—	2	2	no	—
714	D₁₈₈	—	4	2	no	—
715	D₁₈₈	—	4	2	no	—
716	D₁₈₈	—	4	2	no	—
717	D₁₈₈	C₂²×D₄	1	1	yes	characteristic
718	D₁₈₈	C₂²×D₄	1	2	yes	—
719	D₁₈₈	C₂²×D₄	1	1	yes	characteristic
720	C₄×D₄₇	—	2	1	no	—
721	C₄×D₄₇	—	2	2	no	—
722	C₄×D₄₇	—	2	1	no	—
723	C₄×D₄₇	—	2	1	no	—
724	C₄×D₄₇	—	2	2	no	—
725	C₄×D₄₇	—	2	1	no	—
726	C₄×D₄₇	—	2	1	no	—
727	C₄×D₄₇	—	2	2	no	—
728	C₄×D₄₇	—	2	1	no	—
729	C₄×D₄₇	—	4	2	no	—
730	C₄×D₄₇	—	4	2	no	—
731	C₄×D₄₇	—	4	2	no	—
732	C₄×D₄₇	—	4	2	no	—
733	C₄×D₄₇	—	4	2	no	—
734	C₄×D₄₇	—	4	2	no	—
735	C₄×D₄₇	—	4	2	no	—
736	C₄×D₄₇	—	4	2	no	—
737	C₄×D₄₇	—	4	2	no	—
738	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
739	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
740	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
741	C₄×D₄₇	C₂²×D₄	1	1	yes	characteristic
742	Dic₉₄	—	2	1	no	—
743	Dic₉₄	—	2	2	no	—
744	Dic₉₄	—	2	1	no	—
745	Dic₉₄	—	2	2	no	—
746	Dic₉₄	—	2	2	no	—
747	Dic₉₄	—	4	2	no	—
748	Dic₉₄	—	4	2	no	—
749	Dic₉₄	—	4	2	no	—
750	Dic₉₄	—	4	2	no	—
751	Dic₉₄	—	4	2	no	—
752	Dic₉₄	C₂²×D₄	1	1	yes	characteristic
753	Dic₉₄	C₂²×D₄	1	2	yes	—
754	Dic₉₄	C₂²×D₄	1	1	yes	characteristic
755	C₈×C₄₇	—	2	1	no	—
756	C₈×C₄₇	—	2	2	no	—
757	C₈×C₄₇	—	2	1	no	—
758	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
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	C₄₇⋊C₈	—	2	1	no	—
763	C₄₇⋊C₈	—	2	2	no	—
764	C₄₇⋊C₈	—	2	1	no	—
765	C₄₇⋊C₈	C₂²×D₄	1	1	yes	characteristic
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	C₂×#3290	—	47	1	no	maximal, Sylow
770	C₂²×C₄₇	—	2	1	no	—
771	C₂²×C₄₇	—	2	2	no	—
772	C₂²×C₄₇	—	2	1	no	—
773	C₂²×C₄₇	—	4	2	no	—
774	C₂²×C₄₇	—	8	2	no	—
775	C₂²×C₄₇	—	16	2	no	—
776	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
777	C₂×D₄₇	—	2	2	no	—
778	C₂×D₄₇	—	2	1	no	—
779	C₂×D₄₇	—	2	2	no	—
780	C₂×D₄₇	—	2	1	no	—
781	C₂×D₄₇	—	4	2	no	—
782	C₂×D₄₇	—	4	4	no	—
783	C₂×D₄₇	—	4	2	no	—
784	C₂×D₄₇	—	4	2	no	—
785	C₂×D₄₇	—	8	4	no	—
786	C₂×D₄₇	—	8	2	no	—
787	C₂×D₄₇	—	16	2	no	—
788	C₂×D₄₇	—	16	2	no	—
789	C₂×D₄₇	—	16	2	no	—
790	C₂×D₄₇	—	16	2	no	—
791	C₂×D₄₇	D₄²	1	1	yes	characteristic
792	C₂×D₄₇	D₄²	1	1	yes	characteristic
793	C₄×C₄₇	—	2	1	no	—
794	C₄×C₄₇	—	2	2	no	—
795	C₄×C₄₇	—	2	1	no	—
796	C₄×C₄₇	—	4	1	no	—
797	C₄×C₄₇	—	4	2	no	—
798	C₄×C₄₇	C₂³×D₄	1	1	yes	characteristic
799	C₄×C₄₇	C₂³×D₄	1	1	yes	characteristic
800	Dic₄₇	—	2	1	no	—
801	Dic₄₇	—	2	2	no	—
802	Dic₄₇	—	2	1	no	—
803	Dic₄₇	—	4	1	no	—
804	Dic₄₇	—	4	2	no	—
805	Dic₄₇	D₄²	1	1	yes	characteristic
806	Dic₄₇	D₄²	1	1	yes	characteristic
807	C₂×#578	—	47	1	no	—
808	C₂×#577	—	47	2	no	—
809	C₂×#576	—	47	1	no	—
810	#3290	—	47	1	no	—
811	#3290	—	47	1	no	—
812	#3290	—	47	1	no	—
813	#3290	—	47	2	no	—
814	#3290	—	47	2	no	—
815	#3290	—	47	2	no	—
816	#3290	—	47	1	no	—
817	#3290	—	47	1	no	—
818	#3290	—	47	1	no	—
819	#3290	—	47	2	no	—
820	#3290	—	47	1	no	—
821	#3290	D₄₇	1	1	yes	characteristic, direct product factor
822	C₂×#495	—	47	1	no	—
823	C₂×#473	—	47	1	no	—
824	C₂×#472	—	47	1	no	—
825	C₂×#471	—	47	2	no	—
826	C₂×#454	—	47	2	no	—
827	C₂×#455	—	47	2	no	—
828	C₂×#443	—	47	1	no	—
829	C₂×#443	—	47	1	no	—
830	C₂×C₄₇	—	2	1	no	—
831	C₂×C₄₇	—	4	1	no	—
832	C₂×C₄₇	—	4	2	no	—
833	C₂×C₄₇	—	4	1	no	—
834	C₂×C₄₇	—	8	2	no	—
835	C₂×C₄₇	C₂×D₄²	1	1	yes	characteristic
836	D₄₇	—	2	1	no	—
837	D₄₇	—	4	1	no	—
838	D₄₇	—	4	2	no	—
839	D₄₇	—	4	1	no	—
840	D₄₇	—	8	2	no	—
841	D₄₇	#3290	1	2	yes	direct product factor
842	C₂×2₋¹⁺⁴	—	47	2	no	—
843	C₂×H(5,𝔽₂)	—	47	2	no	—
844	#578	—	47	2	no	—
845	#578	—	47	2	no	—
846	#578	—	47	1	no	—
847	#578	—	47	1	no	—
848	#578	—	47	1	no	—
849	#578	—	94	1	no	—
850	#578	—	94	1	no	—
851	#578	—	94	2	no	—
852	#578	C₂×D₄₇	1	1	yes	characteristic, complemented
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	—	47	2	no	—
859	#577	—	47	2	no	—
860	#577	—	94	2	no	—
861	#577	—	94	2	no	—
862	#577	—	94	2	no	—
863	#577	—	94	2	no	—
864	#577	C₂×D₄₇	1	2	yes	complemented
865	#576	—	47	2	no	—
866	#576	—	47	2	no	—
867	#576	—	47	1	no	—
868	#576	—	47	1	no	—
869	#576	—	47	1	no	—
870	#576	—	94	1	no	—
871	#576	—	94	1	no	—
872	#576	—	94	2	no	—
873	#576	C₂×D₄₇	1	1	yes	characteristic, complemented
874	C₂×#137	—	47	2	no	—
875	C₂×#137	—	47	2	no	—
876	C₂×#137	—	94	2	no	—
877	C₂×#137	—	94	2	no	—
878	C₂×AGL(1,ℤ/8)	—	47	2	no	—
879	C₂×AGL(1,ℤ/8)	—	47	2	no	—
880	C₂×AGL(1,ℤ/8)	—	94	2	no	—
881	C₂×AGL(1,ℤ/8)	—	94	2	no	—
882	C₂×#135	—	47	1	no	—
883	C₂×#135	—	47	1	no	—
884	C₂×#135	—	94	1	no	—
885	C₂×#135	—	94	2	no	—
886	C₂×#135	—	94	1	no	—
887	C₂²×Q₁₆	—	47	1	no	—
888	C₂²×Q₁₆	—	94	1	no	—
889	C₂²×SD₁₆	—	47	2	no	—
890	C₂²×SD₁₆	—	94	2	no	—
891	C₂²×D₈	—	47	1	no	—
892	C₂²×D₈	—	94	1	no	—
893	C₂×#131	—	47	1	no	—
894	C₂×#131	—	47	2	no	—
895	C₂×#131	—	47	1	no	—
896	C₂×#124	—	47	2	no	—
897	#495	—	47	1	no	—
898	#495	—	47	2	no	—
899	#495	—	47	1	no	—
900	#495	—	47	2	no	—
901	#495	—	47	1	no	—
902	#495	C₂×D₄₇	1	1	yes	characteristic, complemented
903	#473	—	47	2	no	—
904	#473	—	47	1	no	—
905	#473	—	47	1	no	—
906	#473	—	47	1	no	—
907	#473	—	47	2	no	—
908	#473	C₂×D₄₇	1	1	yes	characteristic, complemented
909	#472	—	47	2	no	—
910	#472	—	47	1	no	—
911	#472	—	47	1	no	—
912	#472	—	47	1	no	—
913	#472	—	47	2	no	—
914	#472	C₂×D₄₇	1	1	yes	characteristic, complemented
915	#471	—	47	2	no	—
916	#471	—	47	2	no	—
917	#471	—	47	2	no	—
918	#471	—	47	2	no	—
919	#471	—	47	2	no	—
920	#471	—	47	2	no	—
921	#471	—	47	2	no	—
922	#471	C₂×D₄₇	1	2	yes	complemented
923	#455	—	47	2	no	—
924	#455	—	47	2	no	—
925	#455	—	47	2	no	—
926	#455	—	47	2	no	—
927	#455	—	47	2	no	—
928	#455	—	47	2	no	—
929	#455	—	47	2	no	—
930	#455	C₂×D₄₇	1	2	yes	complemented
931	#454	—	47	2	no	—
932	#454	—	47	2	no	—
933	#454	—	47	2	no	—
934	#454	—	47	2	no	—
935	#454	—	47	2	no	—
936	#454	—	47	2	no	—
937	#454	—	47	2	no	—
938	#454	C₂×D₄₇	1	2	yes	complemented
939	#443	—	47	1	no	—
940	#443	—	47	1	no	—
941	#443	—	47	1	no	—
942	#443	—	47	1	no	—
943	#443	—	47	2	no	—
944	#443	—	47	1	no	—
945	#443	—	47	1	no	—
946	#443	—	47	1	no	—
947	#443	—	47	1	no	—
948	#443	—	47	2	no	—
949	#443	—	47	1	no	—
950	#443	—	47	1	no	—
951	#443	C₂×D₄₇	1	1	yes	characteristic, complemented
952	#443	C₂×D₄₇	1	1	yes	characteristic, complemented
953	C₂×#108	—	47	1	no	—
954	C₂×#108	—	47	1	no	—
955	C₂×#104	—	47	1	no	—
956	C₂×#104	—	47	2	no	—
957	C₂×#104	—	47	1	no	—
958	C₂×#101	—	47	2	no	—
959	C₂×#100	—	47	2	no	—
960	C₂×C₄×C₈	—	47	1	no	—
961	C₄₇	C₂×#3290	1	1	yes	characteristic, complemented, Sylow
962	2₋¹⁺⁴	—	47	2	no	—
963	2₋¹⁺⁴	—	47	2	no	—
964	2₋¹⁺⁴	—	47	2	no	—
965	2₋¹⁺⁴	—	94	2	no	—
966	2₋¹⁺⁴	—	94	2	no	—
967	2₋¹⁺⁴	—	94	2	no	—
968	2₋¹⁺⁴	—	94	2	no	—
969	2₋¹⁺⁴	—	188	2	no	—
970	2₋¹⁺⁴	C₂²×D₄₇	1	2	yes	complemented
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)	—	94	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)	—	188	2	no	—
979	H(5,𝔽₂)	C₂²×D₄₇	1	2	yes	—
980	C₂×#41	—	47	1	no	—
981	C₂×#41	—	47	2	no	—
982	C₂×#41	—	47	1	no	—
983	C₂×#41	—	94	2	no	—
984	C₂×#41	—	94	2	no	—
985	C₂×#41	—	94	2	no	—
986	C₂×#41	—	94	2	no	—
987	C₂×#41	—	188	2	no	—
988	C₂²×Q₈	—	47	2	no	—
989	C₂²×Q₈	—	94	2	no	—
990	C₂²×Q₈	—	94	2	no	—
991	C₂²×D₄	—	47	2	no	—
992	C₂²×D₄	—	94	2	no	—
993	C₂²×D₄	—	94	2	no	—
994	C₂²×D₄	—	188	2	no	—
995	#137	—	2	2	no	—
996	#137	—	2	2	no	—
997	#137	—	47	2	no	—
998	#137	—	47	2	no	—
999	#137	—	47	2	no	—
1000	#137	—	47	2	no	—
1001	#137	—	47	2	no	—
1002	#137	—	47	2	no	—
1003	#137	—	94	2	no	—
1004	#137	—	94	2	no	—
1005	#137	—	94	2	no	—
1006	#137	—	94	2	no	—
1007	#137	—	94	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	#137	—	94	2	no	—
1019	#137	—	94	2	no	—
1020	#137	—	94	2	no	—
1021	#137	C₂²×D₄₇	1	2	yes	—
1022	#137	C₂²×D₄₇	1	2	yes	complemented
1023	AGL(1,ℤ/8)	—	2	2	no	—
1024	AGL(1,ℤ/8)	—	2	2	no	—
1025	AGL(1,ℤ/8)	—	47	2	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)	—	94	2	no	—
1032	AGL(1,ℤ/8)	—	94	2	no	—
1033	AGL(1,ℤ/8)	—	94	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)	C₂²×D₄₇	1	2	yes	—
1050	AGL(1,ℤ/8)	C₂²×D₄₇	1	2	yes	complemented
1051	#135	—	2	1	no	—
1052	#135	—	2	2	no	—
1053	#135	—	2	1	no	—
1054	#135	—	47	2	no	—
1055	#135	—	47	1	no	—
1056	#135	—	47	1	no	—
1057	#135	—	47	1	no	—
1058	#135	—	47	1	no	—
1059	#135	—	47	2	no	—
1060	#135	—	47	1	no	—
1061	#135	—	47	1	no	—
1062	#135	—	47	1	no	—
1063	#135	—	47	1	no	—
1064	#135	—	47	1	no	—
1065	#135	—	47	1	no	—
1066	#135	—	94	1	no	—
1067	#135	—	94	2	no	—
1068	#135	—	94	1	no	—
1069	#135	—	94	2	no	—
1070	#135	—	94	1	no	—
1071	#135	—	94	2	no	—
1072	#135	—	94	1	no	—
1073	#135	—	94	2	no	—
1074	#135	—	94	2	no	—
1075	#135	—	94	2	no	—
1076	#135	—	94	2	no	—
1077	#135	—	94	2	no	—
1078	#135	—	94	2	no	—
1079	#135	—	94	2	no	—
1080	#135	—	94	1	no	—
1081	#135	—	94	2	no	—
1082	#135	—	94	1	no	—
1083	#135	C₂²×D₄₇	1	1	yes	characteristic
1084	#135	C₂²×D₄₇	1	1	yes	characteristic
1085	C₂×Q₁₆	—	2	1	no	—
1086	C₂×Q₁₆	—	47	1	no	—
1087	C₂×Q₁₆	—	47	1	no	—
1088	C₂×Q₁₆	—	47	2	no	—
1089	C₂×Q₁₆	—	47	1	no	—
1090	C₂×Q₁₆	—	94	1	no	—
1091	C₂×Q₁₆	—	94	1	no	—
1092	C₂×Q₁₆	—	94	1	no	—
1093	C₂×Q₁₆	—	94	1	no	—
1094	C₂×Q₁₆	—	94	1	no	—
1095	C₂×Q₁₆	—	94	2	no	—
1096	C₂×Q₁₆	—	94	1	no	—
1097	C₂×Q₁₆	—	94	2	no	—
1098	C₂×Q₁₆	—	94	2	no	—
1099	C₂×Q₁₆	—	94	2	no	—
1100	C₂×Q₁₆	—	94	1	no	—
1101	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic, complemented
1102	C₂×SD₁₆	—	2	2	no	—
1103	C₂×SD₁₆	—	47	1	no	—
1104	C₂×SD₁₆	—	47	1	no	—
1105	C₂×SD₁₆	—	47	2	no	—
1106	C₂×SD₁₆	—	47	2	no	—
1107	C₂×SD₁₆	—	47	2	no	—
1108	C₂×SD₁₆	—	47	2	no	—
1109	C₂×SD₁₆	—	94	2	no	—
1110	C₂×SD₁₆	—	94	2	no	—
1111	C₂×SD₁₆	—	94	2	no	—
1112	C₂×SD₁₆	—	94	2	no	—
1113	C₂×SD₁₆	—	94	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×SD₁₆	—	94	2	no	—
1123	C₂×SD₁₆	—	94	2	no	—
1124	C₂×SD₁₆	C₂²×D₄₇	1	2	yes	complemented
1125	C₂×D₈	—	2	1	no	—
1126	C₂×D₈	—	47	1	no	—
1127	C₂×D₈	—	47	1	no	—
1128	C₂×D₈	—	47	2	no	—
1129	C₂×D₈	—	47	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	1	no	—
1135	C₂×D₈	—	94	2	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	1	no	—
1141	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
1142	#131	—	47	1	no	—
1143	#131	—	47	2	no	—
1144	#131	—	47	1	no	—
1145	#131	—	47	1	no	—
1146	#131	—	47	2	no	—
1147	#131	—	47	1	no	—
1148	#131	—	47	1	no	—
1149	#131	—	47	2	no	—
1150	#131	—	47	1	no	—
1151	#131	—	94	1	no	—
1152	#131	—	94	2	no	—
1153	#131	—	94	1	no	—
1154	#131	—	94	1	no	—
1155	#131	—	94	2	no	—
1156	#131	—	94	1	no	—
1157	#131	C₂²×D₄₇	1	1	yes	characteristic
1158	#131	C₂²×D₄₇	1	2	yes	complemented
1159	#131	C₂²×D₄₇	1	1	yes	characteristic, complemented
1160	C₂×M₁₆	—	47	1	no	—
1161	C₂×M₁₆	—	47	2	no	—
1162	C₂×M₁₆	—	47	1	no	—
1163	C₂×M₁₆	—	94	1	no	—
1164	C₂×M₁₆	—	94	2	no	—
1165	C₂×M₁₆	—	94	1	no	—
1166	C₂²×C₈	—	47	1	no	—
1167	C₂²×C₈	—	47	1	no	—
1168	C₂²×C₈	—	94	1	no	—
1169	C₂²×C₈	—	94	2	no	—
1170	C₂²×C₈	—	94	1	no	—
1171	#124	—	47	2	no	—
1172	#124	—	47	2	no	—
1173	#124	—	47	2	no	—
1174	#124	—	188	2	no	—
1175	#124	C₂²×D₄₇	1	2	yes	complemented
1176	C₂×C₂²⋊C₄	—	188	2	no	—
1177	C₂×C₄²	—	47	1	no	—
1178	#108	—	47	1	no	—
1179	#108	—	47	1	no	—
1180	#108	—	47	2	no	—
1181	#108	—	47	1	no	—
1182	#108	—	47	1	no	—
1183	#108	C₂²×D₄₇	1	1	yes	characteristic, complemented
1184	#108	C₂²×D₄₇	1	1	yes	characteristic, complemented
1185	#104	—	47	1	no	—
1186	#104	—	47	1	no	—
1187	#104	—	47	2	no	—
1188	#104	—	47	1	no	—
1189	#104	—	47	1	no	—
1190	#104	—	47	2	no	—
1191	#104	—	47	1	no	—
1192	#104	—	47	1	no	—
1193	#104	—	47	2	no	—
1194	#104	C₂²×D₄₇	1	1	yes	characteristic
1195	#104	C₂²×D₄₇	1	1	yes	characteristic, complemented
1196	#104	C₂²×D₄₇	1	2	yes	complemented
1197	#101	—	47	2	no	—
1198	#101	—	47	2	no	—
1199	#101	—	47	2	no	—
1200	#101	C₂²×D₄₇	1	2	yes	complemented
1201	#100	—	47	2	no	—
1202	#100	—	47	2	no	—
1203	#100	—	47	2	no	—
1204	#100	C₂²×D₄₇	1	2	yes	complemented
1205	C₄×C₈	—	47	1	no	—
1206	C₄×C₈	—	47	1	no	—
1207	C₄×C₈	—	47	1	no	—
1208	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic, complemented
1209	C₂⁴	—	94	2	no	—
1210	C₂⁴	—	188	2	no	—
1211	#41	—	2	2	no	—
1212	#41	—	2	2	no	—
1213	#41	—	2	2	no	—
1214	#41	—	2	2	no	—
1215	#41	—	4	2	no	—
1216	#41	—	47	1	no	—
1217	#41	—	47	2	no	—
1218	#41	—	47	1	no	—
1219	#41	—	47	1	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	—	94	1	no	—
1226	#41	—	94	2	no	—
1227	#41	—	94	1	no	—
1228	#41	—	94	2	no	—
1229	#41	—	94	2	no	—
1230	#41	—	94	2	no	—
1231	#41	—	94	2	no	—
1232	#41	—	94	1	no	—
1233	#41	—	94	2	no	—
1234	#41	—	94	1	no	—
1235	#41	—	94	2	no	—
1236	#41	—	94	2	no	—
1237	#41	—	94	2	no	—
1238	#41	—	94	2	no	—
1239	#41	—	94	2	no	—
1240	#41	—	94	2	no	—
1241	#41	—	94	2	no	—
1242	#41	—	94	2	no	—
1243	#41	—	188	2	no	—
1244	#41	—	188	2	no	—
1245	#41	—	188	2	no	—
1246	#41	—	188	2	no	—
1247	#41	—	188	2	no	—
1248	#41	—	188	2	no	—
1249	#41	—	188	2	no	—
1250	#41	—	188	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	C₂³×D₄₇	1	1	yes	characteristic
1259	#41	C₂³×D₄₇	1	1	yes	characteristic
1260	#41	C₂³×D₄₇	1	2	yes	—
1261	C₂×Q₈	—	2	2	no	—
1262	C₂×Q₈	—	2	2	no	—
1263	C₂×Q₈	—	47	1	no	—
1264	C₂×Q₈	—	47	2	no	—
1265	C₂×Q₈	—	47	1	no	—
1266	C₂×Q₈	—	47	2	no	—
1267	C₂×Q₈	—	94	2	no	—
1268	C₂×Q₈	—	94	2	no	—
1269	C₂×Q₈	—	94	2	no	—
1270	C₂×Q₈	—	94	2	no	—
1271	C₂×Q₈	—	94	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	—	94	2	no	—
1277	C₂×Q₈	—	94	2	no	—
1278	C₂×Q₈	—	188	2	no	—
1279	C₂×Q₈	—	188	2	no	—
1280	C₂×Q₈	—	188	2	no	—
1281	C₂×Q₈	—	188	2	no	—
1282	C₂×Q₈	—	188	2	no	—
1283	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1284	C₂×D₄	—	2	2	no	—
1285	C₂×D₄	—	2	2	no	—
1286	C₂×D₄	—	4	2	no	—
1287	C₂×D₄	—	47	1	no	—
1288	C₂×D₄	—	47	2	no	—
1289	C₂×D₄	—	47	1	no	—
1290	C₂×D₄	—	47	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	2	no	—
1300	C₂×D₄	—	94	1	no	—
1301	C₂×D₄	—	94	2	no	—
1302	C₂×D₄	—	94	1	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	C₂³×D₄₇	1	2	yes	—
1320	C₂²×C₄	—	47	1	no	—
1321	C₂²×C₄	—	94	1	no	—
1322	C₂²×C₄	—	94	2	no	—
1323	C₂²×C₄	—	94	1	no	—
1324	C₂²×C₄	—	94	1	no	—
1325	C₂²×C₄	—	94	2	no	—
1326	C₂²×C₄	—	188	2	no	—
1327	C₂²×C₄	—	188	2	no	—
1328	C₂²×C₄	—	188	2	no	—
1329	Q₁₆	—	2	2	no	—
1330	Q₁₆	—	2	2	no	—
1331	Q₁₆	—	2	1	no	—
1332	Q₁₆	—	2	1	no	—
1333	Q₁₆	—	47	2	no	—
1334	Q₁₆	—	47	1	no	—
1335	Q₁₆	—	47	1	no	—
1336	Q₁₆	—	47	1	no	—
1337	Q₁₆	—	47	1	no	—
1338	Q₁₆	—	94	2	no	—
1339	Q₁₆	—	94	2	no	—
1340	Q₁₆	—	94	2	no	—
1341	Q₁₆	—	94	2	no	—
1342	Q₁₆	—	94	2	no	—
1343	Q₁₆	—	94	2	no	—
1344	Q₁₆	—	94	2	no	—
1345	Q₁₆	—	94	2	no	—
1346	Q₁₆	—	94	1	no	—
1347	Q₁₆	—	94	1	no	—
1348	Q₁₆	D₄×D₄₇	1	1	yes	characteristic
1349	Q₁₆	D₄×D₄₇	1	1	yes	characteristic
1350	SD₁₆	—	2	2	no	—
1351	SD₁₆	—	2	2	no	—
1352	SD₁₆	—	2	2	no	—
1353	SD₁₆	—	2	2	no	—
1354	SD₁₆	—	2	2	no	—
1355	SD₁₆	—	2	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	—	47	2	no	—
1362	SD₁₆	—	47	1	no	—
1363	SD₁₆	—	47	1	no	—
1364	SD₁₆	—	47	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	—	94	2	no	—
1380	SD₁₆	—	94	2	no	—
1381	SD₁₆	—	94	2	no	—
1382	SD₁₆	—	94	2	no	—
1383	SD₁₆	D₄×D₄₇	1	1	yes	characteristic
1384	SD₁₆	D₄×D₄₇	1	1	yes	characteristic
1385	SD₁₆	D₄×D₄₇	1	2	yes	—
1386	D₈	—	2	2	no	—
1387	D₈	—	2	2	no	—
1388	D₈	—	2	1	no	—
1389	D₈	—	2	1	no	—
1390	D₈	—	47	2	no	—
1391	D₈	—	47	1	no	—
1392	D₈	—	47	1	no	—
1393	D₈	—	47	1	no	—
1394	D₈	—	47	1	no	—
1395	D₈	—	94	2	no	—
1396	D₈	—	94	2	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	1	no	—
1404	D₈	—	94	1	no	—
1405	D₈	D₄×D₄₇	1	1	yes	characteristic
1406	D₈	D₄×D₄₇	1	1	yes	characteristic
1407	M₁₆	—	2	1	no	—
1408	M₁₆	—	2	2	no	—
1409	M₁₆	—	2	1	no	—
1410	M₁₆	—	47	1	no	—
1411	M₁₆	—	47	2	no	—
1412	M₁₆	—	47	1	no	—
1413	M₁₆	—	94	1	no	—
1414	M₁₆	—	94	2	no	—
1415	M₁₆	—	94	1	no	—
1416	M₁₆	—	94	1	no	—
1417	M₁₆	—	94	2	no	—
1418	M₁₆	—	94	1	no	—
1419	M₁₆	—	94	1	no	—
1420	M₁₆	—	94	2	no	—
1421	M₁₆	—	94	1	no	—
1422	M₁₆	—	94	1	no	—
1423	M₁₆	—	94	2	no	—
1424	M₁₆	—	94	1	no	—
1425	M₁₆	C₂³×D₄₇	1	1	yes	characteristic
1426	M₁₆	C₂³×D₄₇	1	2	yes	—
1427	M₁₆	C₂³×D₄₇	1	1	yes	characteristic
1428	C₂×C₈	—	2	1	no	—
1429	C₂×C₈	—	2	2	no	—
1430	C₂×C₈	—	2	1	no	—
1431	C₂×C₈	—	47	1	no	—
1432	C₂×C₈	—	47	1	no	—
1433	C₂×C₈	—	47	1	no	—
1434	C₂×C₈	—	47	1	no	—
1435	C₂×C₈	—	47	1	no	—
1436	C₂×C₈	—	47	1	no	—
1437	C₂×C₈	—	47	1	no	—
1438	C₂×C₈	—	47	1	no	—
1439	C₂×C₈	—	47	1	no	—
1440	C₂×C₈	—	47	1	no	—
1441	C₂×C₈	—	94	1	no	—
1442	C₂×C₈	—	94	2	no	—
1443	C₂×C₈	—	94	1	no	—
1444	C₂×C₈	—	94	1	no	—
1445	C₂×C₈	—	94	2	no	—
1446	C₂×C₈	—	94	1	no	—
1447	C₂×C₈	—	94	1	no	—
1448	C₂×C₈	—	94	2	no	—
1449	C₂×C₈	—	94	1	no	—
1450	C₂×C₈	—	94	1	no	—
1451	C₂×C₈	—	94	2	no	—
1452	C₂×C₈	—	94	1	no	—
1453	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1454	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1455	C₂²⋊C₄	—	4	2	no	—
1456	C₂²⋊C₄	—	188	2	no	—
1457	C₂²⋊C₄	—	188	2	no	—
1458	C₂²⋊C₄	—	188	2	no	—
1459	C₄²	—	47	1	no	—
1460	C₄²	—	94	1	no	—
1461	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1462	C₂³	—	2	2	no	—
1463	C₂³	—	4	2	no	—
1464	C₂³	—	47	1	no	—
1465	C₂³	—	94	1	no	—
1466	C₂³	—	94	2	no	—
1467	C₂³	—	94	1	no	—
1468	C₂³	—	94	2	no	—
1469	C₂³	—	376	4	no	—
1470	C₂³	—	188	2	no	—
1471	C₂³	—	188	2	no	—
1472	C₂³	—	188	2	no	—
1473	C₂³	—	188	2	no	—
1474	C₂³	—	188	2	no	—
1475	C₂³	—	752	4	no	—
1476	Q₈	—	2	2	no	—
1477	Q₈	—	2	2	no	—
1478	Q₈	—	4	2	no	—
1479	Q₈	—	47	1	no	—
1480	Q₈	—	47	2	no	—
1481	Q₈	—	47	1	no	—
1482	Q₈	—	94	1	no	—
1483	Q₈	—	94	2	no	—
1484	Q₈	—	94	1	no	—
1485	Q₈	—	94	2	no	—
1486	Q₈	—	94	2	no	—
1487	Q₈	—	188	2	no	—
1488	Q₈	—	188	2	no	—
1489	Q₈	—	188	2	no	—
1490	Q₈	—	188	2	no	—
1491	Q₈	—	188	2	no	—
1492	Q₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1493	Q₈	C₂×D₄×D₄₇	1	2	yes	—
1494	Q₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1495	D₄	—	2	1	no	—
1496	D₄	—	2	2	no	—
1497	D₄	—	2	1	no	—
1498	D₄	—	2	2	no	—
1499	D₄	—	2	2	no	—
1500	D₄	—	4	2	no	—
1501	D₄	—	4	2	no	—
1502	D₄	—	4	2	no	—
1503	D₄	—	47	1	no	—
1504	D₄	—	47	2	no	—
1505	D₄	—	47	1	no	—
1506	D₄	—	94	1	no	—
1507	D₄	—	94	2	no	—
1508	D₄	—	94	1	no	—
1509	D₄	—	94	1	no	—
1510	D₄	—	94	2	no	—
1511	D₄	—	94	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	2	no	—
1519	D₄	—	94	2	no	—
1520	D₄	—	188	2	no	—
1521	D₄	—	188	2	no	—
1522	D₄	—	188	2	no	—
1523	D₄	—	188	2	no	—
1524	D₄	—	188	2	no	—
1525	D₄	—	188	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	C₂×D₄×D₄₇	1	1	yes	characteristic
1532	D₄	C₂×D₄×D₄₇	1	2	yes	—
1533	D₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	2	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	2	no	—
1539	C₂×C₄	—	4	2	no	—
1540	C₂×C₄	—	4	2	no	—
1541	C₂×C₄	—	4	2	no	—
1542	C₂×C₄	—	47	1	no	—
1543	C₂×C₄	—	47	1	no	—
1544	C₂×C₄	—	47	1	no	—
1545	C₂×C₄	—	47	1	no	—
1546	C₂×C₄	—	47	1	no	—
1547	C₂×C₄	—	94	1	no	—
1548	C₂×C₄	—	94	2	no	—
1549	C₂×C₄	—	94	1	no	—
1550	C₂×C₄	—	94	1	no	—
1551	C₂×C₄	—	94	2	no	—
1552	C₂×C₄	—	94	1	no	—
1553	C₂×C₄	—	94	1	no	—
1554	C₂×C₄	—	94	2	no	—
1555	C₂×C₄	—	94	1	no	—
1556	C₂×C₄	—	94	1	no	—
1557	C₂×C₄	—	94	2	no	—
1558	C₂×C₄	—	94	1	no	—
1559	C₂×C₄	—	94	1	no	—
1560	C₂×C₄	—	94	2	no	—
1561	C₂×C₄	—	188	2	no	—
1562	C₂×C₄	—	188	2	no	—
1563	C₂×C₄	—	188	2	no	—
1564	C₂×C₄	—	188	2	no	—
1565	C₂×C₄	—	188	2	no	—
1566	C₂×C₄	—	188	2	no	—
1567	C₂×C₄	—	188	2	no	—
1568	C₂×C₄	—	188	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	C₂⁴×D₄₇	1	1	yes	characteristic
1574	C₈	—	2	1	no	—
1575	C₈	—	2	2	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	47	1	no	—
1578	C₈	—	47	1	no	—
1579	C₈	—	47	1	no	—
1580	C₈	—	47	1	no	—
1581	C₈	—	94	1	no	—
1582	C₈	—	94	2	no	—
1583	C₈	—	94	1	no	—
1584	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1585	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1586	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1587	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
1588	C₂²	—	2	1	no	—
1589	C₂²	—	2	2	no	—
1590	C₂²	—	2	1	no	—
1591	C₂²	—	4	2	no	—
1592	C₂²	—	8	2	no	—
1593	C₂²	—	16	2	no	—
1594	C₂²	—	47	1	no	—
1595	C₂²	—	47	1	no	—
1596	C₂²	—	94	2	no	—
1597	C₂²	—	94	1	no	—
1598	C₂²	—	94	2	no	—
1599	C₂²	—	94	1	no	—
1600	C₂²	—	376	2	no	—
1601	C₂²	—	376	4	no	—
1602	C₂²	—	188	2	no	—
1603	C₂²	—	188	4	no	—
1604	C₂²	—	188	2	no	—
1605	C₂²	—	188	2	no	—
1606	C₂²	—	752	2	no	—
1607	C₂²	—	752	2	no	—
1608	C₂²	—	752	2	no	—
1609	C₂²	—	752	2	no	—
1610	C₂²	H(5,𝔽₂)×D₄₇	1	1	yes	characteristic
1611	C₄	—	2	1	no	—
1612	C₄	—	2	2	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	4	1	no	—
1615	C₄	—	4	2	no	—
1616	C₄	—	47	1	no	—
1617	C₄	—	47	1	no	—
1618	C₄	—	94	1	no	—
1619	C₄	—	94	2	no	—
1620	C₄	—	94	1	no	—
1621	C₄	—	188	1	no	—
1622	C₄	—	188	2	no	—
1623	C₄	C₂²×D₄×D₄₇	1	1	yes	characteristic
1624	C₄	C₂²×D₄×D₄₇	1	1	yes	characteristic
1625	C₂	—	2	1	no	—
1626	C₂	—	4	1	no	—
1627	C₂	—	4	2	no	—
1628	C₂	—	4	1	no	—
1629	C₂	—	8	2	no	—
1630	C₂	—	47	2	no	—
1631	C₂	—	94	1	no	—
1632	C₂	—	376	2	no	—
1633	C₂	—	188	1	no	—
1634	C₂	—	188	2	no	—
1635	C₂	—	188	1	no	—
1636	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×#3290	C₂
socle	C₂×C₄₇	C₂×D₄²
hypercenter	#3290	D₄₇
hypocenter	C₄₇	C₂×#3290
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #3290

Complements

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

N	H ≅ G/N	type
1. #578×D₄₇	C₂	semidirect
2. #577×D₄₇	C₂	semidirect
3. #576×D₄₇	C₂	semidirect
4. #20255177	C₂	semidirect
5. #20255176	C₂	semidirect
6. #20255175	C₂	semidirect
7. #20255174	C₂	semidirect
8. #20255173	C₂	semidirect
9. #20255172	C₂	semidirect
10. #20255171	C₂	semidirect
11. #20255170	C₂	semidirect
12. #20255169	C₂	semidirect
13. #20255168	C₂	semidirect
14. #20255167	C₂	semidirect
15. #495×D₄₇	C₂	semidirect
16. #473×D₄₇	C₂	semidirect
17. #472×D₄₇	C₂	semidirect
18. #471×D₄₇	C₂	semidirect
19. #454×D₄₇	C₂	semidirect
20. #455×D₄₇	C₂	semidirect
21. #443×D₄₇	C₂	semidirect
22. #443×D₄₇	C₂	semidirect
23. C₄₇×#3290	C₂	semidirect
24. 2₋¹⁺⁴×D₄₇	C₂²	semidirect
26. #15689940	C₂²	semidirect
28. #15689939	C₂²	semidirect
29. #15689938	C₂²	semidirect
31. #15689937	C₂²	semidirect
33. #15689936	C₂²	semidirect
34. #15689935	C₂²	semidirect
35. #15689934	C₂²	semidirect
37. #15689933	C₂²	semidirect
39. #15689932	C₂²	semidirect
40. #15689931	C₂²	semidirect
42. #15689930	C₂²	semidirect
44. #15689929	C₂²	semidirect
45. #15689928	C₂²	semidirect
47. #15689927	C₂²	semidirect
48. #15689926	C₂²	semidirect
50. #15689925	C₂²	semidirect
52. #15689924	C₂²	semidirect
56. #137×D₄₇	C₂²	semidirect
60. AGL(1,ℤ/8)×D₄₇	C₂²	semidirect
67. C₂×Q₁₆×D₄₇	C₂²	semidirect
69. C₂×SD₁₆×D₄₇	C₂²	semidirect
73. #131×D₄₇	C₂²	semidirect
74. #131×D₄₇	C₂²	semidirect
75. #124×D₄₇	C₂²	semidirect
76. #15689508	C₂²	semidirect
77. #15689507	C₂²	semidirect
78. #15689506	C₂²	semidirect
79. #15689505	C₂²	semidirect
80. #15689504	C₂²	semidirect
81. #15689399	C₂²	semidirect
82. #15689398	C₂²	semidirect
83. #15689397	C₂²	semidirect
84. #15689396	C₂²	semidirect
85. #15689395	C₂²	semidirect
86. #15689394	C₂²	semidirect
87. #15689393	C₂²	semidirect
88. #15689392	C₂²	semidirect
89. #15689391	C₂²	semidirect
90. #15689390	C₂²	semidirect
91. #15689389	C₂²	semidirect
92. #15689388	C₂²	semidirect
93. #15689387	C₂²	semidirect
94. #15689386	C₂²	semidirect
95. #15689385	C₂²	semidirect
96. #15689384	C₂²	semidirect
97. #15689383	C₂²	semidirect
98. #15689303	C₂²	semidirect
99. #15689302	C₂²	semidirect
100. #15689302	C₂²	semidirect
101. #15689301	C₂²	semidirect
102. #15689300	C₂²	semidirect
103. #15689299	C₂²	semidirect
104. #15689299	C₂²	semidirect
105. #15689298	C₂²	semidirect
106. #15689297	C₂²	semidirect
107. #15689297	C₂²	semidirect
108. #15689296	C₂²	semidirect
109. #15689295	C₂²	semidirect
110. #15689294	C₂²	semidirect
111. #15689294	C₂²	semidirect
112. #15689241	C₂²	semidirect
113. #15689241	C₂²	semidirect
114. #15689240	C₂²	semidirect
115. #15689240	C₂²	semidirect
116. #15689239	C₂²	semidirect
117. #15689239	C₂²	semidirect
118. #15689238	C₂²	semidirect
119. #15689238	C₂²	semidirect
120. #15689238	C₂²	semidirect
121. #15689237	C₂²	semidirect
122. #15689237	C₂²	semidirect
123. #15689237	C₂²	semidirect
124. #108×D₄₇	C₂²	semidirect
125. #108×D₄₇	C₂²	semidirect
127. #104×D₄₇	C₂²	semidirect
128. #104×D₄₇	C₂²	semidirect
129. #101×D₄₇	C₂²	semidirect
130. #100×D₄₇	C₂²	semidirect
131. C₄×C₈×D₄₇	C₂²	semidirect
132. C₄₇×#578	C₂²	semidirect
133. C₄₇×#577	C₂²	semidirect
134. C₄₇×#576	C₂²	semidirect
135. C₄₇×#495	C₂²	semidirect
136. C₄₇×#473	C₂²	semidirect
137. C₄₇×#472	C₂²	semidirect
138. C₄₇×#471	C₂²	semidirect
139. C₄₇×#455	C₂²	semidirect
140. C₄₇×#454	C₂²	semidirect
141. C₄₇×#443	C₂²	semidirect
142. C₄₇×#443	C₂²	semidirect
145. #13094072	C₂³	semidirect
149. #13094071	C₂³	semidirect
150. #13094071	C₂³	semidirect
177. #13094057	C₂³	semidirect
187. #13094055	C₂³	semidirect
191. #13094054	C₂³	semidirect
201. #13094052	C₂³	semidirect
211. #13094050	C₂³	semidirect
215. #13094049	C₂³	semidirect
252. C₂×Dic₁₈₈	C₂³	semidirect
254. C₂×#10625337	C₂³	semidirect
267. C₂×#10625325	C₂³	semidirect
269. C₂×#10625335	C₂³	semidirect
271. C₂×#10625336	C₂³	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. #13094013	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. #13093943	C₂³	semidirect
349. #13093942	C₂³	semidirect
350. #13093942	C₂³	semidirect
351. #13093941	C₂³	semidirect
352. #13093940	C₂³	semidirect
353. #13093940	C₂³	semidirect
354. C₄×C₄₇⋊C₈	C₂³	semidirect
355. C₈×Dic₄₇	C₂³	semidirect
356. C₈×Dic₄₇	C₂³	semidirect
357. 2₋¹⁺⁴×C₄₇	C₂³	semidirect
362. #137×C₄₇	C₂³	semidirect
366. AGL(1,ℤ/8)×C₄₇	C₂³	semidirect
373. C₂×Q₁₆×C₄₇	C₂³	semidirect
375. C₂×SD₁₆×C₄₇	C₂³	semidirect
379. #131×C₄₇	C₂³	semidirect
380. #131×C₄₇	C₂³	semidirect
381. #124×C₄₇	C₂³	semidirect
382. #108×C₄₇	C₂³	semidirect
383. #108×C₄₇	C₂³	semidirect
385. #104×C₄₇	C₂³	semidirect
386. #104×C₄₇	C₂³	semidirect
387. #101×C₄₇	C₂³	semidirect
388. #100×C₄₇	C₂³	semidirect
389. C₄×C₈×C₄₇	C₂³	semidirect
821. #3290	D₄₇	direct (N × H)
841. D₄₇	#3290	direct (N × H)
852. #578	C₂×D₄₇	semidirect
864. #577	C₂×D₄₇	semidirect
873. #576	C₂×D₄₇	semidirect
902. #495	C₂×D₄₇	semidirect
908. #473	C₂×D₄₇	semidirect
914. #472	C₂×D₄₇	semidirect
922. #471	C₂×D₄₇	semidirect
930. #455	C₂×D₄₇	semidirect
938. #454	C₂×D₄₇	semidirect
951. #443	C₂×D₄₇	semidirect
952. #443	C₂×D₄₇	semidirect
961. C₄₇	C₂×#3290	semidirect
970. 2₋¹⁺⁴	C₂²×D₄₇	semidirect
1022. #137	C₂²×D₄₇	semidirect
1050. AGL(1,ℤ/8)	C₂²×D₄₇	semidirect
1101. C₂×Q₁₆	C₂²×D₄₇	semidirect
1124. C₂×SD₁₆	C₂²×D₄₇	semidirect
1158. #131	C₂²×D₄₇	semidirect
1159. #131	C₂²×D₄₇	semidirect
1175. #124	C₂²×D₄₇	semidirect
1183. #108	C₂²×D₄₇	semidirect
1184. #108	C₂²×D₄₇	semidirect
1195. #104	C₂²×D₄₇	semidirect
1196. #104	C₂²×D₄₇	semidirect
1200. #101	C₂²×D₄₇	semidirect
1204. #100	C₂²×D₄₇	semidirect
1208. 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
#578×D₄₇	2
#577×D₄₇	2
#576×D₄₇	2
#20255177	2
#20255176	2
#20255175	2
#20255174	2
#20255173	2
#20255172	2
#20255171	2
#20255170	2
#20255169	2
#20255168	2
#20255167	2
#495×D₄₇	2
#473×D₄₇	2
#472×D₄₇	2
#471×D₄₇	2
#454×D₄₇	2
#455×D₄₇	2
#443×D₄₇	2
C₄₇×#3290	2
C₂×#3290	47

Subgroups — D47×#3290 #27092480

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₇×#3290 #27092480