Subgroups — #27123951

Order 12032.

7280 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257968	C₂	1	4	yes	maximal, complemented
2	#20257953	C₂	1	2	yes	maximal, complemented
3	#20257934	C₂	1	4	yes	maximal, complemented
4	#20257919	C₂	1	2	yes	maximal, complemented
5	#20257911	C₂	1	2	yes	maximal, complemented
6	#20257904	C₂	1	2	yes	maximal, complemented
7	#20257859	C₂	1	2	yes	maximal, complemented
8	#20257825	C₂	1	2	yes	maximal, complemented
9	#20257760	C₂	1	2	yes	maximal, complemented
10	#20257718	C₂	1	2	yes	maximal, complemented
11	#20257627	C₂	1	2	yes	maximal, complemented
12	#20257615	C₂	1	2	yes	maximal, complemented
13	#20257572	C₂	1	4	yes	maximal, complemented
14	#20257527	C₂	1	4	yes	maximal, complemented
15	#20256998	C₂	1	4	yes	maximal, complemented
16	#20256981	C₂	1	2	yes	maximal, complemented
17	#41×D₁₈₈	C₂	1	2	yes	maximal, complemented
18	#20256871	C₂	1	4	yes	maximal, complemented
19	#20256804	C₂	1	4	yes	maximal, complemented
20	#20256798	C₂	1	4	yes	maximal, complemented
21	#20256780	C₂	1	2	yes	maximal, complemented
22	#20256715	C₂	1	2	yes	maximal, complemented
23	C₂×#15689673	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#15689657	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄₇×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂²×#10625350	C₂²	1	2	yes	complemented
27	C₂×#41×D₄₇	C₂²	1	4	yes	complemented
28	#15689877	C₂²	1	4	yes	complemented
29	#15689875	C₂²	1	8	yes	complemented
30	#15689871	C₂²	1	4	yes	complemented
31	#15689870	C₂²	1	8	yes	complemented
32	#15689869	C₂²	1	8	yes	complemented
33	#15689867	C₂²	1	4	yes	complemented
34	#15689865	C₂²	1	4	yes	complemented
35	#15689864	C₂²	1	8	yes	complemented
36	#15689863	C₂²	1	8	yes	complemented
37	#15689861	C₂²	1	8	yes	complemented
38	#15689858	C₂²	1	4	yes	complemented
39	#15689858	C₂²	1	2	yes	complemented
40	#15689856	C₂²	1	4	yes	complemented
41	#15689851	C₂²	1	2	yes	complemented
42	#15689845	C₂²	1	4	yes	complemented
43	#15689843	C₂²	1	2	yes	complemented
44	#15689833	C₂²	1	4	yes	complemented
45	#15689830	C₂²	1	4	yes	complemented
46	#15689822	C₂²	1	8	yes	complemented
47	#15689819	C₂²	1	4	yes	complemented
48	#15689819	C₂²	1	4	yes	complemented
49	#15689819	C₂²	1	4	yes	complemented
50	#15689817	C₂²	1	8	yes	complemented
51	#15689797	C₂²	1	8	yes	complemented
52	#15689797	C₂²	1	8	yes	complemented
53	#15689795	C₂²	1	2	yes	complemented
54	#15689794	C₂²	1	2	yes	complemented
55	#15689791	C₂²	1	4	yes	complemented
56	Q₈×D₁₈₈	C₂²	1	2	yes	complemented
57	#15689786	C₂²	1	4	yes	complemented
58	#15689785	C₂²	1	4	yes	complemented
59	#15689783	C₂²	1	4	yes	complemented
60	#15689782	C₂²	1	4	yes	complemented
61	#15689779	C₂²	1	4	yes	complemented
62	#15689777	C₂²	1	2	yes	complemented
63	#15689777	C₂²	1	4	yes	complemented
64	#15689775	C₂²	1	4	yes	complemented
65	#15689771	C₂²	1	8	yes	complemented
66	#15689770	C₂²	1	4	yes	complemented
67	#15689769	C₂²	1	4	yes	complemented
68	#15689769	C₂²	1	4	yes	complemented
69	#15689768	C₂²	1	8	yes	complemented
70	#15689768	C₂²	1	4	yes	complemented
71	#15689765	C₂²	1	8	yes	complemented
72	#15689764	C₂²	1	4	yes	complemented
73	#15689761	C₂²	1	8	yes	complemented
74	#15689760	C₂²	1	8	yes	complemented
75	D₄×D₁₈₈	C₂²	1	4	yes	complemented
76	D₄×D₁₈₈	C₂²	1	4	yes	complemented
77	D₄×D₁₈₈	C₂²	1	2	yes	complemented
78	#15689757	C₂²	1	4	yes	complemented
79	#15689755	C₂²	1	8	yes	complemented
80	#15689751	C₂²	1	4	yes	complemented
81	#15689748	C₂²	1	4	yes	complemented
82	#15689747	C₂²	1	4	yes	complemented
83	#15689747	C₂²	1	4	yes	complemented
84	#15689745	C₂²	1	8	yes	complemented
85	#15689744	C₂²	1	4	yes	complemented
86	#15689744	C₂²	1	4	yes	complemented
87	#15689736	C₂²	1	4	yes	complemented
88	#15689729	C₂²	1	4	yes	complemented
89	#15689728	C₂²	1	4	yes	complemented
90	#15689728	C₂²	1	4	yes	complemented
91	#15689724	C₂²	1	8	yes	complemented
92	#15689722	C₂²	1	4	yes	complemented
93	#15689722	C₂²	1	4	yes	complemented
94	#15689721	C₂²	1	8	yes	complemented
95	#15689717	C₂²	1	8	yes	complemented
96	#15689714	C₂²	1	8	yes	complemented
97	#15689713	C₂²	1	4	yes	complemented
98	#15689713	C₂²	1	4	yes	complemented
99	#15689713	C₂²	1	4	yes	complemented
100	#15689712	C₂²	1	8	yes	complemented
101	#15689710	C₂²	1	4	yes	complemented
102	#15689707	C₂²	1	8	yes	complemented
103	#15689706	C₂²	1	8	yes	complemented
104	#15689706	C₂²	1	8	yes	complemented
105	#15689701	C₂²	1	4	yes	complemented
106	#15689700	C₂²	1	4	yes	complemented
107	#15689700	C₂²	1	4	yes	complemented
108	#15689698	C₂²	1	4	yes	complemented
109	#15689693	C₂²	1	4	yes	complemented
110	#15689692	C₂²	1	4	yes	complemented
111	#15689691	C₂²	1	4	yes	complemented
112	#15689687	C₂²	1	4	yes	complemented
113	#15689686	C₂²	1	4	yes	complemented
114	#15689684	C₂²	1	8	yes	complemented
115	#15689681	C₂²	1	4	yes	complemented
116	#15689681	C₂²	1	4	yes	complemented
117	#15689681	C₂²	1	4	yes	complemented
118	#15689673	C₂²	1	2	yes	complemented
119	#15689673	C₂²	1	2	yes	complemented
120	#15689673	C₂²	1	4	yes	complemented
121	#15689673	C₂²	1	2	yes	complemented
122	#15689673	C₂²	1	2	yes	complemented
123	#15689673	C₂²	1	2	yes	complemented
124	#15689673	C₂²	1	2	yes	complemented
125	#15689673	C₂²	1	2	yes	complemented
126	#15689673	C₂²	1	2	yes	complemented
127	#15689670	C₂²	1	8	yes	complemented
128	#15689669	C₂²	1	4	yes	complemented
129	C₂×#13094024	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13094021	C₂²	1	1	yes	characteristic, complemented
131	#15689660	C₂²	1	8	yes	complemented
132	#15689660	C₂²	1	8	yes	complemented
133	#15689657	C₂²	1	2	yes	complemented
134	#15689657	C₂²	1	2	yes	complemented
135	#15689657	C₂²	1	2	yes	complemented
136	#15689657	C₂²	1	4	yes	complemented
137	#15689657	C₂²	1	2	yes	complemented
138	#15689657	C₂²	1	2	yes	complemented
139	#15689657	C₂²	1	2	yes	complemented
140	#15689657	C₂²	1	2	yes	complemented
141	#15689657	C₂²	1	2	yes	complemented
142	#15689651	C₂²	1	8	yes	complemented
143	C₂×#13094018	C₂²	1	2	yes	complemented
144	C₂×#13094016	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13094012	C₂²	1	1	yes	characteristic, complemented
146	C₂×#13094012	C₂²	1	2	yes	complemented
147	#15689635	C₂²	1	4	yes	complemented
148	#15689635	C₂²	1	8	yes	complemented
149	#15689632	C₂²	1	8	yes	complemented
150	#15689632	C₂²	1	8	yes	complemented
151	#15689632	C₂²	1	8	yes	complemented
152	#15689632	C₂²	1	8	yes	complemented
153	C₂×#13094007	C₂²	1	2	yes	complemented
154	C₂×#13094003	C₂²	1	1	yes	characteristic, complemented
155	C₂×#13093998	C₂²	1	1	yes	characteristic
156	C₂×#13093998	C₂²	1	2	yes	complemented
157	C₂×#13093998	C₂²	1	2	yes	complemented
158	C₄×#10625350	C₂²	1	4	yes	complemented
159	#15689591	C₂²	1	4	yes	complemented
160	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₄×D₁₈₈	C₂²	1	2	yes	complemented
162	C₂×C₄×D₁₈₈	C₂²	1	4	yes	complemented
163	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄×D₁₈₈	C₂²	1	2	yes	complemented
165	C₂×C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
166	C₄×D₄×D₄₇	C₂²	1	8	yes	complemented
167	C₂×#13093981	C₂²	1	2	yes	complemented
168	C₄₇×#533	C₂²	1	1	yes	characteristic, complemented
169	C₄₇×#533	C₂²	1	1	yes	characteristic, complemented
170	C₄₇×#533	C₂²	1	1	yes	characteristic, complemented
171	C₄₇×#532	C₂²	1	1	yes	characteristic, complemented
172	C₄₇×#532	C₂²	1	1	yes	characteristic, complemented
173	C₄₇×#532	C₂²	1	1	yes	characteristic, complemented
174	C₄₇×#529	C₂²	1	2	yes	complemented
175	C₄₇×#529	C₂²	1	2	yes	complemented
176	C₄₇×#529	C₂²	1	2	yes	complemented
177	C₄₇×#529	C₂²	1	2	yes	complemented
178	C₄₇×#529	C₂²	1	2	yes	complemented
179	C₄₇×#529	C₂²	1	2	yes	complemented
180	C₄₇×#525	C₂²	1	2	yes	complemented
181	C₄₇×#525	C₂²	1	2	yes	complemented
182	C₄₇×#525	C₂²	1	2	yes	complemented
183	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
184	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
185	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
186	C₂²×C₄²×C₄₇	C₂²	1	1	yes	characteristic, complemented
187	C₂×#10625354	C₂³	1	4	yes	—
188	C₂×#10625350	—	4	8	no	—
189	C₂×#10625350	C₂³	1	4	yes	—
190	C₂×#10625350	C₂³	1	4	yes	—
191	C₂×#10625350	C₂³	1	4	yes	—
192	C₂×#10625350	C₂³	1	4	yes	—
193	C₂×#10625350	C₂³	1	8	yes	—
194	C₂×#10625350	C₂³	1	4	yes	—
195	C₂×#10625352	C₂³	1	8	yes	—
196	C₂×#10625352	C₂³	1	4	yes	—
197	#41×D₄₇	—	4	16	no	—
198	C₂²×Dic₉₄	C₂³	1	2	yes	—
199	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
200	C₂×Q₈×D₄₇	C₂³	1	4	yes	—
201	C₂²×D₁₈₈	C₂³	1	2	yes	—
202	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
203	C₂²×D₁₈₈	C₂³	1	4	yes	—
204	C₂²×D₁₈₈	C₂³	1	2	yes	—
205	C₂²×D₁₈₈	C₂³	1	2	yes	—
206	C₂²×C₂²⋊D₄₇	C₂³	1	2	yes	—
207	C₂²×C₂²⋊D₄₇	C₂³	1	4	yes	—
208	C₂×D₄×D₄₇	C₂³	1	8	yes	—
209	C₂×D₄×D₄₇	C₂³	1	8	yes	—
210	C₂×D₄×D₄₇	C₂³	1	4	yes	—
211	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
212	C₂²×C₄×D₄₇	C₂³	1	4	yes	—
213	C₂²×C₄×D₄₇	C₂³	1	8	yes	—
214	#13094024	C₂³	1	2	yes	—
215	#13094024	C₂³	1	2	yes	—
216	#13094024	C₂³	1	4	yes	—
217	#13094024	C₂³	1	2	yes	—
218	#13094024	C₂³	1	2	yes	—
219	#13094023	C₂³	1	8	yes	—
220	#13094022	C₂³	1	4	yes	—
221	#13094021	C₂³	1	2	yes	—
222	#13094021	C₂³	1	4	yes	—
223	#13094021	C₂³	1	2	yes	—
224	#13094021	C₂³	1	2	yes	—
225	#13094021	C₂³	1	2	yes	—
226	#13094020	C₂³	1	8	yes	—
227	#13094020	C₂³	1	4	yes	—
228	#13094019	C₂³	1	8	yes	—
229	#13094019	C₂³	1	8	yes	—
230	#13094019	C₂³	1	8	yes	—
231	#13094019	C₂³	1	8	yes	—
232	#13094019	C₂³	1	8	yes	—
233	#13094018	C₂³	1	4	yes	—
234	#13094018	C₂³	1	8	yes	—
235	#13094018	C₂³	1	4	yes	—
236	#13094018	C₂³	1	4	yes	—
237	#13094018	C₂³	1	4	yes	—
238	#13094017	C₂³	1	8	yes	—
239	#13094016	C₂³	1	2	yes	—
240	#13094016	C₂³	1	4	yes	—
241	#13094016	C₂³	1	2	yes	—
242	#13094016	C₂³	1	2	yes	—
243	#13094016	C₂³	1	2	yes	—
244	#13094015	C₂³	1	8	yes	—
245	#13094015	C₂³	1	8	yes	—
246	#13094014	C₂³	1	8	yes	—
247	#13094013	C₂³	1	8	yes	—
248	#13094013	C₂³	1	8	yes	—
249	#13094013	C₂³	1	4	yes	—
250	#13094012	C₂³	1	2	yes	—
251	#13094012	C₂³	1	4	yes	—
252	#13094012	C₂³	1	4	yes	—
253	#13094012	C₂³	1	8	yes	—
254	#13094012	C₂³	1	4	yes	—
255	#13094012	C₂³	1	4	yes	—
256	#13094012	C₂³	1	2	yes	—
257	#13094012	C₂³	1	2	yes	—
258	#13094012	C₂³	1	4	yes	—
259	#13094012	C₂³	1	2	yes	—
260	#13094011	C₂³	1	4	yes	—
261	#13094010	C₂³	1	8	yes	—
262	#13094010	C₂³	1	8	yes	—
263	#13094010	C₂³	1	8	yes	—
264	#13094009	C₂³	1	8	yes	—
265	#13094009	C₂³	1	8	yes	—
266	#13094009	C₂³	1	8	yes	—
267	#13094009	C₂³	1	8	yes	—
268	#13094009	C₂³	1	8	yes	—
269	#13094009	C₂³	1	8	yes	—
270	#13094009	C₂³	1	8	yes	—
271	#13094009	C₂³	1	8	yes	—
272	#13094009	C₂³	1	8	yes	—
273	#13094008	C₂³	1	8	yes	—
274	#13094008	C₂³	1	8	yes	—
275	#13094008	C₂³	1	8	yes	—
276	#13094007	C₂³	1	4	yes	—
277	#13094007	C₂³	1	8	yes	—
278	#13094007	C₂³	1	4	yes	—
279	#13094007	C₂³	1	4	yes	—
280	#13094007	C₂³	1	4	yes	—
281	#13094006	C₂³	1	8	yes	—
282	#13094006	C₂³	1	8	yes	—
283	#13094006	C₂³	1	8	yes	—
284	#13094006	C₂³	1	8	yes	—
285	#13094006	C₂³	1	8	yes	—
286	#13094004	C₂³	1	4	yes	—
287	#13094004	C₂³	1	4	yes	—
288	#13094004	C₂³	1	8	yes	—
289	#13094004	C₂³	1	8	yes	—
290	#13094003	C₂³	1	2	yes	—
291	#13094003	C₂³	1	4	yes	—
292	#13094003	C₂³	1	2	yes	—
293	#13094003	C₂³	1	2	yes	—
294	#13094003	C₂³	1	2	yes	—
295	#13094002	C₂³	1	8	yes	—
296	#13094002	C₂³	1	8	yes	—
297	#13094002	C₂³	1	8	yes	—
298	#13094002	C₂³	1	8	yes	—
299	#13094002	C₂³	1	8	yes	—
300	#13094001	C₂³	1	8	yes	—
301	#13094001	C₂³	1	8	yes	—
302	#13094001	C₂³	1	8	yes	—
303	#13094001	C₂³	1	8	yes	—
304	#13094000	C₂³	1	8	yes	—
305	#13094000	C₂³	1	8	yes	—
306	#13093999	C₂³	1	4	yes	—
307	#13093999	C₂³	1	4	yes	—
308	#13093999	C₂³	1	8	yes	—
309	#13093999	C₂³	1	8	yes	—
310	#13093999	C₂³	1	8	yes	—
311	#13093999	C₂³	1	8	yes	—
312	#13093999	C₂³	1	8	yes	—
313	#13093998	C₂³	1	2	yes	—
314	#13093998	C₂³	1	4	yes	—
315	#13093998	C₂³	1	4	yes	—
316	#13093998	C₂³	1	4	yes	—
317	#13093998	C₂³	1	4	yes	—
318	#13093998	C₂³	1	2	yes	—
319	#13093998	C₂³	1	4	yes	—
320	#13093998	C₂³	1	8	yes	—
321	#13093998	C₂³	1	4	yes	—
322	#13093998	C₂³	1	4	yes	—
323	#13093998	C₂³	1	2	yes	—
324	#13093998	C₂³	1	4	yes	—
325	#13093998	C₂³	1	2	yes	—
326	#13093998	C₂³	1	4	yes	—
327	#13093998	C₂³	1	4	yes	—
328	#13093998	C₂³	1	4	yes	—
329	#13093997	C₂³	1	8	yes	—
330	#13093997	C₂³	1	8	yes	—
331	#13093997	C₂³	1	8	yes	—
332	#13093997	C₂³	1	8	yes	—
333	#13093997	C₂³	1	8	yes	—
334	#13093997	C₂³	1	8	yes	—
335	#13093997	C₂³	1	8	yes	—
336	#13093996	C₂³	1	8	yes	—
337	#13093996	C₂³	1	8	yes	—
338	#13093996	C₂³	1	8	yes	—
339	#13093996	C₂³	1	8	yes	—
340	#13093996	C₂³	1	8	yes	—
341	#13093996	C₂³	1	8	yes	—
342	#13093995	C₂³	1	8	yes	—
343	#13093994	C₂³	1	8	yes	—
344	#13093994	C₂³	1	8	yes	—
345	#13093994	C₂³	1	8	yes	—
346	#13093994	C₂³	1	8	yes	—
347	#13093994	C₂³	1	8	yes	—
348	#13093994	C₂³	1	8	yes	—
349	#13093994	C₂³	1	8	yes	—
350	#13093992	C₂³	1	8	yes	—
351	#13093992	C₂³	1	8	yes	—
352	#13093992	C₂³	1	8	yes	—
353	#13093992	C₂³	1	8	yes	—
354	C₄×Dic₉₄	C₂³	1	4	yes	—
355	C₄×Dic₉₄	C₂³	1	2	yes	—
356	C₄×Dic₉₄	C₂³	1	2	yes	—
357	C₄×Dic₉₄	C₂³	1	2	yes	—
358	C₄×Dic₉₄	C₂³	1	2	yes	—
359	#13093989	C₂³	1	4	yes	—
360	#13093989	C₂³	1	4	yes	—
361	C₄×D₁₈₈	C₂³	1	4	yes	—
362	C₄×D₁₈₈	C₂³	1	4	yes	—
363	C₄×D₁₈₈	C₂³	1	4	yes	—
364	C₄×D₁₈₈	C₂³	1	8	yes	—
365	C₄×D₁₈₈	C₂³	1	2	yes	—
366	C₄×D₁₈₈	C₂³	1	2	yes	—
367	C₄×D₁₈₈	C₂³	1	4	yes	—
368	C₄×D₁₈₈	C₂³	1	4	yes	—
369	C₄×D₁₈₈	C₂³	1	8	yes	—
370	C₄×D₁₈₈	C₂³	1	2	yes	—
371	C₄×D₁₈₈	C₂³	1	4	yes	—
372	C₄×D₁₈₈	C₂³	1	4	yes	—
373	C₄×D₁₈₈	C₂³	1	4	yes	—
374	C₄×D₁₈₈	C₂³	1	8	yes	—
375	C₄×D₁₈₈	C₂³	1	2	yes	—
376	C₄×D₁₈₈	C₂³	1	4	yes	—
377	C₄×D₁₈₈	C₂³	1	4	yes	—
378	C₄×D₁₈₈	C₂³	1	4	yes	—
379	D₄×Dic₄₇	C₂³	1	8	yes	—
380	#13093986	C₂³	1	4	yes	—
381	#13093986	C₂³	1	4	yes	—
382	#13093986	C₂³	1	8	yes	—
383	C₄×C₂²⋊D₄₇	C₂³	1	4	yes	—
384	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
385	C₄×C₂²⋊D₄₇	C₂³	1	4	yes	—
386	C₄×C₂²⋊D₄₇	C₂³	1	4	yes	—
387	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
388	C₄×C₂²⋊D₄₇	C₂³	1	4	yes	—
389	C₄×C₂²⋊D₄₇	C₂³	1	8	yes	—
390	(C₂²⋊D₄₇)⋊C₄	C₂³	1	8	yes	—
391	(C₂²⋊D₄₇)⋊C₄	C₂³	1	8	yes	—
392	(C₂²⋊D₄₇)⋊C₄	C₂³	1	8	yes	—
393	(C₂²⋊D₄₇)⋊C₄	C₂³	1	8	yes	—
394	#13093983	C₂³	1	4	yes	—
395	#13093981	C₂³	1	4	yes	—
396	#13093981	C₂³	1	8	yes	—
397	#13093981	C₂³	1	4	yes	—
398	#13093981	C₂³	1	4	yes	—
399	#13093981	C₂³	1	4	yes	—
400	#13093981	C₂³	1	8	yes	—
401	C₂×C₄⋊Dic₄₇	C₂³	1	4	yes	—
402	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
404	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
405	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
406	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
407	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
408	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
409	C₂×Dic₄₇⋊C₄	C₂³	1	2	yes	—
410	C₄⋊C₄×D₄₇	C₂³	1	8	yes	—
411	C₂×C₂²⋊Dic₄₇	C₂³	1	2	yes	—
412	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
413	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	4	yes	—
414	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	8	yes	—
415	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
416	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
417	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
418	C₂×(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
419	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
420	C₂²⋊C₄×D₄₇	C₂³	1	8	yes	—
421	C₂×C₄×Dic₄₇	C₂³	1	2	yes	—
422	C₄²×D₄₇	C₂³	1	8	yes	—
423	C₂×#41×C₄₇	C₂³	1	2	yes	—
424	C₂×#41×C₄₇	C₂³	1	2	yes	—
425	C₂×#41×C₄₇	C₂³	1	2	yes	—
426	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
427	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
428	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
429	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
430	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
431	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
432	#127×C₄₇	C₂³	1	1	yes	characteristic
433	#126×C₄₇	C₂³	1	4	yes	—
434	#126×C₄₇	C₂³	1	4	yes	—
435	#125×C₄₇	C₂³	1	2	yes	—
436	#125×C₄₇	C₂³	1	2	yes	—
437	#125×C₄₇	C₂³	1	2	yes	—
438	#124×C₄₇	C₂³	1	2	yes	—
439	#124×C₄₇	C₂³	1	2	yes	—
440	#124×C₄₇	C₂³	1	2	yes	—
441	#123×C₄₇	C₂³	1	4	yes	—
442	#123×C₄₇	C₂³	1	4	yes	—
443	#123×C₄₇	C₂³	1	4	yes	—
444	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
445	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
446	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
447	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
448	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
449	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
450	#121×C₄₇	C₂³	1	2	yes	—
451	#121×C₄₇	C₂³	1	2	yes	—
452	#121×C₄₇	C₂³	1	2	yes	—
453	#121×C₄₇	C₂³	1	2	yes	—
454	#121×C₄₇	C₂³	1	2	yes	—
455	#121×C₄₇	C₂³	1	2	yes	—
456	#120×C₄₇	C₂³	1	4	yes	—
457	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
458	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
459	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
460	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
461	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
462	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
463	C₄×D₄×C₄₇	C₂³	1	4	yes	—
464	C₄×D₄×C₄₇	C₂³	1	4	yes	—
465	C₄×D₄×C₄₇	C₂³	1	2	yes	—
466	C₄×D₄×C₄₇	C₂³	1	4	yes	—
467	C₄×D₄×C₄₇	C₂³	1	2	yes	—
468	C₄×D₄×C₄₇	C₂³	1	2	yes	—
469	C₄×D₄×C₄₇	C₂³	1	4	yes	—
470	C₄×D₄×C₄₇	C₂³	1	4	yes	—
471	C₄×D₄×C₄₇	C₂³	1	4	yes	—
472	C₄×D₄×C₄₇	C₂³	1	2	yes	—
473	C₄×D₄×C₄₇	C₂³	1	2	yes	—
474	C₄×D₄×C₄₇	C₂³	1	2	yes	—
475	#117×C₄₇	C₂³	1	2	yes	—
476	#117×C₄₇	C₂³	1	4	yes	—
477	#117×C₄₇	C₂³	1	2	yes	—
478	#117×C₄₇	C₂³	1	4	yes	—
479	#117×C₄₇	C₂³	1	2	yes	—
480	#117×C₄₇	C₂³	1	4	yes	—
481	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
482	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
483	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
484	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
485	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
486	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
487	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
488	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
489	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
490	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
491	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
492	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
493	C₂×C₄²×C₄₇	C₂³	1	4	yes	—
494	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
495	C₂³×D₄₇	C₂⁴	1	4	yes	—
496	C₂³×D₄₇	C₂⁴	1	2	yes	—
497	C₂³×D₄₇	C₂⁴	1	8	yes	—
498	#41×C₄₇	—	2	8	no	—
499	#41×C₄₇	—	4	4	no	—
500	#41×C₄₇	—	4	4	no	—
501	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
502	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
503	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
504	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
505	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
506	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
507	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
508	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
509	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₄₇	—	2	4	no	—
511	C₂²×C₄×C₄₇	—	4	2	no	—
512	C₂²×C₄×C₄₇	—	4	2	no	—
513	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
524	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
525	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
533	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
534	C₂×C₂²⋊D₄₇	—	4	4	no	—
535	C₂×C₂²⋊D₄₇	—	4	8	no	—
536	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
537	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
538	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
539	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
540	C₂×C₂²⋊D₄₇	C₂⁴	1	4	yes	—
541	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
542	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
543	C₂×C₂²⋊D₄₇	C₂⁴	1	8	yes	—
544	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
545	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
546	C₂²×Dic₄₇	C₂⁴	1	2	yes	—
547	C₂²×Dic₄₇	C₂⁴	1	4	yes	—
548	C₂²×Dic₄₇	C₂⁴	1	8	yes	—
549	#10625354	—	4	8	no	—
550	Q₈×D₄₇	—	4	8	no	—
551	#10625352	—	4	8	no	—
552	#10625352	—	4	16	no	—
553	D₄×D₄₇	—	4	8	no	—
554	D₄×D₄₇	—	4	16	no	—
555	D₄×D₄₇	—	4	16	no	—
556	#10625350	—	2	16	no	—
557	#10625350	—	4	8	no	—
558	#10625350	—	4	8	no	—
559	#10625350	—	4	16	no	—
560	#10625350	—	4	8	no	—
561	#10625350	—	4	8	no	—
562	C₂×D₁₈₈	—	4	2	no	—
563	C₂×D₁₈₈	—	4	8	no	—
564	C₂×D₁₈₈	—	4	4	no	—
565	C₂×D₁₈₈	—	4	4	no	—
566	C₂×D₁₈₈	—	4	4	no	—
567	C₂×D₁₈₈	C₂⁴	1	4	yes	—
568	C₂×D₁₈₈	C₂⁴	1	2	yes	—
569	C₂×D₁₈₈	C₂⁴	1	4	yes	—
570	C₂×D₁₈₈	C₂⁴	1	8	yes	—
571	C₂×D₁₈₈	C₂⁴	1	2	yes	—
572	C₂×D₁₈₈	C₂⁴	1	8	yes	—
573	C₂×D₁₈₈	C₂⁴	1	4	yes	—
574	C₂×D₁₈₈	C₂⁴	1	4	yes	—
575	C₂×D₁₈₈	C₂⁴	1	4	yes	—
576	C₂×D₁₈₈	C₂⁴	1	8	yes	—
577	C₂×D₁₈₈	C₂⁴	1	4	yes	—
578	C₂×C₄×D₄₇	—	2	8	no	—
579	C₂×C₄×D₄₇	—	4	16	no	—
580	C₂×C₄×D₄₇	—	4	8	no	—
581	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
582	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
583	C₂×C₄×D₄₇	C₂⁴	1	4	yes	—
584	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
585	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
586	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
587	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
588	C₂×C₄×D₄₇	C₂⁴	1	8	yes	—
589	C₂×Dic₉₄	—	4	2	no	—
590	C₂×Dic₉₄	—	4	4	no	—
591	C₂×Dic₉₄	C₂⁴	1	4	yes	—
592	C₂×Dic₉₄	C₂⁴	1	2	yes	—
593	C₂×Dic₉₄	C₂⁴	1	2	yes	—
594	C₂×Dic₉₄	C₂⁴	1	8	yes	—
595	C₂×Dic₉₄	C₂⁴	1	4	yes	—
596	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
597	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
598	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
599	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
600	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
602	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
603	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
604	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
605	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
606	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
607	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
608	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
609	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
610	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
611	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
612	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
613	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
614	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
615	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
616	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
617	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
618	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
619	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
620	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
621	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
622	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
623	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
624	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
625	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
626	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
627	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
628	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
629	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
630	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
631	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
632	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
633	C₄²×C₄₇	C₂⁴	1	4	yes	—
634	C₄²×C₄₇	C₂⁴	1	4	yes	—
635	C₄²×C₄₇	C₂⁴	1	4	yes	—
636	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
637	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
638	C₂²⋊Dic₄₇	C₂⁴	1	4	yes	—
639	C₂²⋊Dic₄₇	C₂⁴	1	8	yes	—
640	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
641	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
642	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
643	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
644	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
645	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
646	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
647	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
648	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
649	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
650	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
651	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
652	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
653	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
654	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
655	(C₂×D₄₇)⋊C₄	C₂⁴	1	4	yes	—
656	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
657	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
658	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
659	(C₂×D₄₇)⋊C₄	C₂⁴	1	8	yes	—
660	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
661	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
662	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
663	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
664	C₄⋊Dic₄₇	C₂⁴	1	8	yes	—
665	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
666	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
667	C₄⋊Dic₄₇	C₂⁴	1	4	yes	—
668	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
669	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
670	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
671	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
672	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
673	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
674	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
675	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
676	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
677	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
678	Dic₄₇⋊C₄	C₂⁴	1	4	yes	—
679	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
680	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
681	Dic₄₇⋊C₄	C₂⁴	1	8	yes	—
682	C₄×Dic₄₇	C₂⁴	1	4	yes	—
683	C₄×Dic₄₇	C₂⁴	1	8	yes	—
684	C₄×Dic₄₇	C₂⁴	1	8	yes	—
685	C₄×Dic₄₇	C₂⁴	1	4	yes	—
686	C₂³×C₄₇	—	2	2	no	—
687	C₂³×C₄₇	—	2	2	no	—
688	C₂³×C₄₇	—	4	1	no	—
689	C₂³×C₄₇	C₂⁵	1	4	yes	—
690	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
691	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
692	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
693	C₂²×D₄₇	—	2	4	no	—
694	C₂²×D₄₇	—	2	8	no	—
695	C₂²×D₄₇	—	4	4	no	—
696	C₂²×D₄₇	—	4	8	no	—
697	C₂²×D₄₇	—	4	4	no	—
698	C₂²×D₄₇	—	4	8	no	—
699	C₂²×D₄₇	—	4	2	no	—
700	C₂²×D₄₇	—	4	8	no	—
701	C₂²×D₄₇	—	4	2	no	—
702	C₂²×D₄₇	C₂⁵	1	4	yes	—
703	C₂²×D₄₇	C₂⁵	1	8	yes	—
704	Q₈×C₄₇	—	2	4	no	—
705	Q₈×C₄₇	—	4	2	no	—
706	Q₈×C₄₇	—	4	2	no	—
707	D₄×C₄₇	—	2	8	no	—
708	D₄×C₄₇	—	2	8	no	—
709	D₄×C₄₇	—	2	4	no	—
710	D₄×C₄₇	—	4	4	no	—
711	D₄×C₄₇	—	4	2	no	—
712	D₄×C₄₇	—	4	2	no	—
713	C₂×C₄×C₄₇	—	2	2	no	—
714	C₂×C₄×C₄₇	—	2	2	no	—
715	C₂×C₄×C₄₇	—	2	2	no	—
716	C₂×C₄×C₄₇	—	2	2	no	—
717	C₂×C₄×C₄₇	—	2	2	no	—
718	C₂×C₄×C₄₇	—	2	8	no	—
719	C₂×C₄×C₄₇	—	2	2	no	—
720	C₂×C₄×C₄₇	—	2	2	no	—
721	C₂×C₄×C₄₇	—	2	2	no	—
722	C₂×C₄×C₄₇	—	2	2	no	—
723	C₂×C₄×C₄₇	—	2	8	no	—
724	C₂×C₄×C₄₇	—	2	2	no	—
725	C₂×C₄×C₄₇	—	4	1	no	—
726	C₂×C₄×C₄₇	—	4	1	no	—
727	C₂×C₄×C₄₇	—	4	1	no	—
728	C₂×C₄×C₄₇	—	4	1	no	—
729	C₂×C₄×C₄₇	—	4	1	no	—
730	C₂×C₄×C₄₇	—	4	1	no	—
731	C₂×C₄×C₄₇	—	4	1	no	—
732	C₂×C₄×C₄₇	—	4	4	no	—
733	C₂×C₄×C₄₇	H(5,𝔽₂)	1	4	yes	—
734	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
735	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
736	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
737	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
738	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
739	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
740	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
741	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
742	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
743	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
744	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
745	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
746	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
747	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
748	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
749	C₂²⋊D₄₇	—	2	16	no	—
750	C₂²⋊D₄₇	—	2	8	no	—
751	C₂²⋊D₄₇	—	4	8	no	—
752	C₂²⋊D₄₇	—	4	8	no	—
753	C₂²⋊D₄₇	—	4	8	no	—
754	C₂²⋊D₄₇	—	4	8	no	—
755	C₂²⋊D₄₇	—	4	8	no	—
756	C₂²⋊D₄₇	—	4	4	no	—
757	C₂×Dic₄₇	—	2	4	no	—
758	C₂×Dic₄₇	—	4	4	no	—
759	C₂×Dic₄₇	—	4	2	no	—
760	C₂×Dic₄₇	—	4	8	no	—
761	C₂×Dic₄₇	—	4	2	no	—
762	C₂×Dic₄₇	C₂⁵	1	4	yes	—
763	C₂×Dic₄₇	C₂⁵	1	4	yes	—
764	C₂×Dic₄₇	C₂⁵	1	8	yes	—
765	C₂×Dic₄₇	C₂⁵	1	4	yes	—
766	D₁₈₈	—	2	8	no	—
767	D₁₈₈	—	2	4	no	—
768	D₁₈₈	—	2	8	no	—
769	D₁₈₈	—	4	2	no	—
770	D₁₈₈	—	4	8	no	—
771	D₁₈₈	—	4	4	no	—
772	D₁₈₈	—	4	4	no	—
773	D₁₈₈	—	4	4	no	—
774	D₁₈₈	—	4	4	no	—
775	D₁₈₈	—	4	8	no	—
776	D₁₈₈	—	4	8	no	—
777	C₄×D₄₇	—	2	8	no	—
778	C₄×D₄₇	—	2	8	no	—
779	C₄×D₄₇	—	2	16	no	—
780	C₄×D₄₇	—	4	8	no	—
781	C₄×D₄₇	—	4	8	no	—
782	C₄×D₄₇	—	4	8	no	—
783	C₄×D₄₇	—	4	8	no	—
784	C₄×D₄₇	—	4	8	no	—
785	Dic₉₄	—	2	8	no	—
786	Dic₉₄	—	2	4	no	—
787	Dic₉₄	—	4	2	no	—
788	Dic₉₄	—	4	4	no	—
789	Dic₉₄	—	4	8	no	—
790	#62748	—	47	1	no	maximal, Sylow
791	C₂²×C₄₇	—	2	1	no	—
792	C₂²×C₄₇	—	2	1	no	—
793	C₂²×C₄₇	—	2	1	no	—
794	C₂²×C₄₇	—	2	1	no	—
795	C₂²×C₄₇	—	2	4	no	—
796	C₂²×C₄₇	—	2	1	no	—
797	C₂²×C₄₇	—	2	1	no	—
798	C₂²×C₄₇	—	2	4	no	—
799	C₂²×C₄₇	—	2	4	no	—
800	C₂²×C₄₇	—	2	1	no	—
801	C₂²×C₄₇	—	4	4	no	—
802	C₂²×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
803	C₂²×C₄₇	#585	1	2	yes	—
804	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
805	C₂×D₄₇	—	2	4	no	—
806	C₂×D₄₇	—	2	8	no	—
807	C₂×D₄₇	—	2	8	no	—
808	C₂×D₄₇	—	2	8	no	—
809	C₂×D₄₇	—	2	4	no	—
810	C₂×D₄₇	—	2	4	no	—
811	C₂×D₄₇	—	8	8	no	—
812	C₂×D₄₇	—	8	4	no	—
813	C₂×D₄₇	—	8	16	no	—
814	C₄×C₄₇	—	2	1	no	—
815	C₄×C₄₇	—	2	4	no	—
816	C₄×C₄₇	—	2	1	no	—
817	C₄×C₄₇	—	2	1	no	—
818	C₄×C₄₇	—	2	4	no	—
819	C₄×C₄₇	—	2	4	no	—
820	C₄×C₄₇	—	2	1	no	—
821	C₄×C₄₇	—	2	1	no	—
822	C₄×C₄₇	—	2	1	no	—
823	C₄×C₄₇	—	2	1	no	—
824	C₄×C₄₇	—	2	1	no	—
825	C₄×C₄₇	—	2	1	no	—
826	C₄×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
827	C₄×C₄₇	C₂×H(5,𝔽₂)	1	2	yes	—
828	C₄×C₄₇	#585	1	2	yes	—
829	Dic₄₇	—	2	8	no	—
830	Dic₄₇	—	2	4	no	—
831	Dic₄₇	—	2	4	no	—
832	Dic₄₇	—	2	4	no	—
833	#3562	—	47	4	no	—
834	#3561	—	47	2	no	—
835	#3560	—	47	4	no	—
836	#3559	—	47	2	no	—
837	#3558	—	47	2	no	—
838	#3558	—	47	2	no	—
839	#3554	—	47	2	no	—
840	#3552	—	47	2	no	—
841	#3546	—	47	2	no	—
842	#3543	—	47	2	no	—
843	#3537	—	47	2	no	—
844	#3536	—	47	2	no	—
845	#3534	—	47	4	no	—
846	#3529	—	47	4	no	—
847	#3481	—	47	4	no	—
848	#3480	—	47	2	no	—
849	D₄×#41	—	47	4	no	—
850	D₄×#41	—	47	2	no	—
851	#3460	—	47	4	no	—
852	#3459	—	47	4	no	—
853	#3455	—	47	2	no	—
854	#3449	—	47	2	no	—
855	#3444	D₄₇	1	1	yes	characteristic, complemented
856	C₂×#532	—	47	1	no	—
857	C₂×#529	—	47	1	no	—
858	C₂×C₄₇	—	2	2	no	—
859	C₂×C₄₇	—	2	2	no	—
860	C₂×C₄₇	—	4	4	no	—
861	C₂×C₄₇	—	4	1	no	—
862	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
863	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
864	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
865	D₄₇	—	4	8	no	—
866	D₄₇	—	4	4	no	—
867	C₂²×#41	—	47	4	no	—
868	C₂²×#41	—	47	2	no	—
869	#563	—	47	8	no	—
870	#563	—	47	4	no	—
871	#562	—	47	4	no	—
872	#562	—	47	4	no	—
873	#562	—	47	8	no	—
874	#562	—	47	8	no	—
875	H(3,𝔽₄)	—	47	4	no	—
876	#560	—	47	8	no	—
877	#560	—	47	8	no	—
878	#560	—	47	8	no	—
879	#559	—	47	2	no	—
880	#559	—	47	4	no	—
881	#559	—	47	4	no	—
882	#557	—	47	2	no	—
883	#556	—	47	4	no	—
884	#556	—	47	2	no	—
885	#554	—	47	4	no	—
886	#554	—	47	4	no	—
887	#553	—	47	4	no	—
888	#553	—	47	4	no	—
889	#553	—	47	4	no	—
890	#553	—	47	8	no	—
891	#553	—	47	8	no	—
892	#551	—	47	8	no	—
893	#551	—	47	8	no	—
894	#550	—	47	4	no	—
895	#550	—	47	2	no	—
896	#550	—	47	2	no	—
897	D₄×Q₈	—	47	4	no	—
898	D₄×Q₈	—	47	2	no	—
899	#548	—	47	4	no	—
900	#548	—	47	4	no	—
901	#548	—	47	4	no	—
902	#548	—	47	4	no	—
903	#547	—	47	8	no	—
904	#547	—	47	4	no	—
905	#547	—	47	4	no	—
906	#547	—	47	2	no	—
907	#546	—	47	8	no	—
908	#546	—	47	8	no	—
909	#546	—	47	4	no	—
910	#546	—	47	4	no	—
911	#546	—	47	8	no	—
912	#546	—	47	8	no	—
913	#546	—	47	4	no	—
914	#546	—	47	4	no	—
915	#546	—	47	4	no	—
916	D₄²	—	47	4	no	—
917	D₄²	—	47	8	no	—
918	D₄²	—	47	4	no	—
919	D₄²	—	47	2	no	—
920	D₄²	—	47	4	no	—
921	#544	—	47	4	no	—
922	#543	—	47	4	no	—
923	#542	—	47	4	no	—
924	#542	—	47	4	no	—
925	#542	—	47	8	no	—
926	#542	—	47	4	no	—
927	#542	—	47	4	no	—
928	#541	—	47	4	no	—
929	#540	—	47	4	no	—
930	#540	—	47	8	no	—
931	#540	—	47	4	no	—
932	#540	—	47	4	no	—
933	#539	—	47	8	no	—
934	#539	—	47	8	no	—
935	#539	—	47	8	no	—
936	#539	—	47	4	no	—
937	#539	—	47	4	no	—
938	#538	—	47	8	no	—
939	#538	—	47	8	no	—
940	#538	—	47	4	no	—
941	#538	—	47	4	no	—
942	#538	—	47	4	no	—
943	#538	—	47	4	no	—
944	#538	—	47	8	no	—
945	#538	—	47	8	no	—
946	#537	—	47	4	no	—
947	#537	—	47	4	no	—
948	#537	—	47	4	no	—
949	#536	—	47	4	no	—
950	#536	—	47	4	no	—
951	#535	—	47	4	no	—
952	#535	—	47	4	no	—
953	#535	—	47	4	no	—
954	#535	—	47	4	no	—
955	#534	—	47	8	no	—
956	#534	—	47	4	no	—
957	#534	—	47	4	no	—
958	#534	—	47	4	no	—
959	#533	C₂×D₄₇	1	1	yes	characteristic, complemented
960	#533	C₂×D₄₇	1	1	yes	characteristic, complemented
961	#533	C₂×D₄₇	1	1	yes	characteristic, complemented
962	#532	—	47	4	no	—
963	#532	—	47	8	no	—
964	#532	—	47	2	no	—
965	#532	—	47	2	no	—
966	#532	—	47	2	no	—
967	#532	—	47	2	no	—
968	#532	—	47	2	no	—
969	#532	—	47	2	no	—
970	#532	—	47	2	no	—
971	#532	—	47	2	no	—
972	#532	—	47	4	no	—
973	#532	C₂×D₄₇	1	1	yes	characteristic, complemented
974	#532	C₂×D₄₇	1	1	yes	characteristic, complemented
975	#532	C₂×D₄₇	1	1	yes	characteristic, complemented
976	C₂×C₄⋊Q₈	—	47	1	no	—
977	C₂×#127	—	47	1	no	—
978	#529	—	47	8	no	—
979	#529	—	47	8	no	—
980	#529	—	47	8	no	—
981	#529	—	47	2	no	—
982	#529	—	47	2	no	—
983	#529	—	47	2	no	—
984	#529	—	47	2	no	—
985	#529	—	47	2	no	—
986	#529	—	47	2	no	—
987	#529	—	47	2	no	—
988	#529	—	47	2	no	—
989	#529	—	47	4	no	—
990	#529	C₂×D₄₇	1	2	yes	complemented
991	#529	C₂×D₄₇	1	2	yes	complemented
992	#529	C₂×D₄₇	1	2	yes	complemented
993	#529	C₂×D₄₇	1	2	yes	complemented
994	#529	C₂×D₄₇	1	2	yes	complemented
995	#529	C₂×D₄₇	1	2	yes	complemented
996	C₂×#126	—	47	2	no	—
997	C₂×#125	—	47	1	no	—
998	C₂×#124	—	47	1	no	—
999	C₂×#124	—	47	2	no	—
1000	#525	—	47	8	no	—
1001	#525	—	47	8	no	—
1002	#525	—	47	8	no	—
1003	#525	—	47	8	no	—
1004	#525	—	47	4	no	—
1005	#525	—	47	8	no	—
1006	#525	C₂×D₄₇	1	2	yes	complemented
1007	#525	C₂×D₄₇	1	2	yes	complemented
1008	#525	C₂×D₄₇	1	2	yes	complemented
1009	C₂×#123	—	47	2	no	—
1010	C₂×C₂²⋊Q₈	—	47	1	no	—
1011	C₂×#121	—	47	1	no	—
1012	C₂×#121	—	47	2	no	—
1013	C₂×#121	—	47	2	no	—
1014	C₄×#41	—	47	4	no	—
1015	C₄×#41	—	47	4	no	—
1016	C₄×#41	C₂×D₄₇	1	2	yes	complemented
1017	C₄×#41	C₂×D₄₇	1	2	yes	complemented
1018	C₄×#41	C₂×D₄₇	1	2	yes	complemented
1019	C₂×C₄×Q₈	—	47	1	no	—
1020	C₂×C₄×D₄	—	47	2	no	—
1021	C₂×C₄×D₄	—	47	8	no	—
1022	C₂×C₄×D₄	—	47	1	no	—
1023	C₂×C₄×D₄	—	47	2	no	—
1024	C₂×C₄×D₄	—	47	2	no	—
1025	C₂×C₄×D₄	—	47	4	no	—
1026	C₂×#117	—	47	2	no	—
1027	C₂²×C₄²	C₂×D₄₇	1	1	yes	characteristic, complemented
1028	C₄₇	#62748	1	1	yes	characteristic, complemented, Sylow
1029	C₂×#41	—	47	4	no	—
1030	C₂×#41	—	47	4	no	—
1031	C₂×#41	—	47	8	no	—
1032	C₂×#41	—	47	4	no	—
1033	C₂×#41	—	47	4	no	—
1034	C₂×#41	—	47	8	no	—
1035	C₂×#41	—	47	4	no	—
1036	C₂×#41	—	47	4	no	—
1037	C₂×#41	—	47	4	no	—
1038	C₂×#41	—	188	8	no	—
1039	C₂×#41	—	188	16	no	—
1040	C₂×#41	C₂²×D₄₇	1	2	yes	—
1041	C₂×#41	C₂²×D₄₇	1	2	yes	—
1042	C₂×#41	C₂²×D₄₇	1	2	yes	—
1043	C₂²×Q₈	—	47	4	no	—
1044	C₂²×Q₈	—	47	1	no	—
1045	C₂²×Q₈	—	47	2	no	—
1046	C₂²×D₄	—	47	2	no	—
1047	C₂²×D₄	—	47	4	no	—
1048	C₂²×D₄	—	47	8	no	—
1049	C₂²×D₄	—	47	8	no	—
1050	C₂²×D₄	—	47	4	no	—
1051	C₂²×D₄	—	47	1	no	—
1052	C₂²×D₄	—	47	2	no	—
1053	C₂²×D₄	—	47	2	no	—
1054	C₂²×D₄	—	47	4	no	—
1055	C₂²×D₄	—	47	2	no	—
1056	C₂³×C₄	—	47	2	no	—
1057	C₂³×C₄	—	47	4	no	—
1058	C₂³×C₄	—	47	8	no	—
1059	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1060	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1061	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
1062	C₄⋊Q₈	—	47	4	no	—
1063	C₄⋊Q₈	—	47	8	no	—
1064	C₄⋊Q₈	—	47	2	no	—
1065	C₄⋊Q₈	—	47	2	no	—
1066	C₄⋊Q₈	—	47	2	no	—
1067	C₄⋊Q₈	—	47	2	no	—
1068	C₄⋊Q₈	—	47	4	no	—
1069	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1070	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1071	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1072	#127	—	47	4	no	—
1073	#127	—	47	8	no	—
1074	#127	—	47	2	no	—
1075	#127	—	47	2	no	—
1076	#127	—	47	2	no	—
1077	#127	—	47	2	no	—
1078	#127	—	47	4	no	—
1079	#127	C₂²×D₄₇	1	1	yes	characteristic
1080	#126	—	47	8	no	—
1081	#126	—	47	8	no	—
1082	#126	—	47	8	no	—
1083	#126	—	47	8	no	—
1084	#126	—	47	8	no	—
1085	#126	—	47	8	no	—
1086	#126	—	47	4	no	—
1087	#126	—	47	4	no	—
1088	#126	—	47	4	no	—
1089	#126	—	47	4	no	—
1090	#126	—	47	8	no	—
1091	#126	C₂²×D₄₇	1	4	yes	—
1092	#126	C₂²×D₄₇	1	4	yes	—
1093	#125	—	47	8	no	—
1094	#125	—	47	8	no	—
1095	#125	—	47	8	no	—
1096	#125	—	47	2	no	—
1097	#125	—	47	2	no	—
1098	#125	—	47	2	no	—
1099	#125	—	47	2	no	—
1100	#125	—	47	4	no	—
1101	#125	C₂²×D₄₇	1	2	yes	—
1102	#125	C₂²×D₄₇	1	2	yes	—
1103	#125	C₂²×D₄₇	1	2	yes	—
1104	#124	—	47	8	no	—
1105	#124	—	47	8	no	—
1106	#124	—	47	4	no	—
1107	#124	—	47	4	no	—
1108	#124	—	47	8	no	—
1109	#124	—	47	8	no	—
1110	#124	—	47	8	no	—
1111	#124	—	47	2	no	—
1112	#124	—	47	2	no	—
1113	#124	—	47	2	no	—
1114	#124	—	47	2	no	—
1115	#124	—	47	4	no	—
1116	#124	—	47	4	no	—
1117	#124	—	47	4	no	—
1118	#124	—	47	4	no	—
1119	#124	—	47	4	no	—
1120	#124	—	47	8	no	—
1121	#124	C₂²×D₄₇	1	2	yes	—
1122	#124	C₂²×D₄₇	1	2	yes	—
1123	#124	C₂²×D₄₇	1	2	yes	—
1124	#123	—	47	4	no	—
1125	#123	—	47	4	no	—
1126	#123	—	47	4	no	—
1127	#123	—	47	4	no	—
1128	#123	—	47	8	no	—
1129	#123	—	47	8	no	—
1130	#123	—	47	8	no	—
1131	#123	—	47	8	no	—
1132	#123	—	47	8	no	—
1133	#123	—	47	8	no	—
1134	#123	—	47	8	no	—
1135	#123	—	47	8	no	—
1136	#123	—	47	8	no	—
1137	#123	—	47	8	no	—
1138	#123	—	47	8	no	—
1139	#123	—	47	8	no	—
1140	#123	—	47	8	no	—
1141	#123	—	47	8	no	—
1142	#123	—	47	8	no	—
1143	#123	—	47	8	no	—
1144	#123	—	47	8	no	—
1145	#123	—	47	8	no	—
1146	#123	C₂²×D₄₇	1	4	yes	—
1147	#123	C₂²×D₄₇	1	4	yes	—
1148	#123	C₂²×D₄₇	1	4	yes	—
1149	C₂²⋊Q₈	—	47	8	no	—
1150	C₂²⋊Q₈	—	47	8	no	—
1151	C₂²⋊Q₈	—	47	2	no	—
1152	C₂²⋊Q₈	—	47	2	no	—
1153	C₂²⋊Q₈	—	47	2	no	—
1154	C₂²⋊Q₈	—	47	2	no	—
1155	C₂²⋊Q₈	—	47	4	no	—
1156	C₂²⋊Q₈	—	47	8	no	—
1157	C₂²⋊Q₈	—	47	8	no	—
1158	C₂²⋊Q₈	—	47	8	no	—
1159	C₂²⋊Q₈	—	47	8	no	—
1160	C₂²⋊Q₈	—	47	8	no	—
1161	C₂²⋊Q₈	—	47	4	no	—
1162	C₂²⋊Q₈	—	47	4	no	—
1163	C₂²⋊Q₈	—	47	8	no	—
1164	C₂²⋊Q₈	—	47	8	no	—
1165	C₂²⋊Q₈	—	47	8	no	—
1166	C₂²⋊Q₈	—	47	8	no	—
1167	C₂²⋊Q₈	—	47	8	no	—
1168	C₂²⋊Q₈	—	47	8	no	—
1169	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
1170	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
1171	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
1172	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
1173	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
1174	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	—
1175	#121	—	47	8	no	—
1176	#121	—	47	8	no	—
1177	#121	—	47	8	no	—
1178	#121	—	47	8	no	—
1179	#121	—	47	8	no	—
1180	#121	—	47	8	no	—
1181	#121	—	47	8	no	—
1182	#121	—	47	2	no	—
1183	#121	—	47	2	no	—
1184	#121	—	47	2	no	—
1185	#121	—	47	2	no	—
1186	#121	—	47	4	no	—
1187	#121	—	47	4	no	—
1188	#121	—	47	4	no	—
1189	#121	—	47	4	no	—
1190	#121	—	47	4	no	—
1191	#121	—	47	4	no	—
1192	#121	—	47	4	no	—
1193	#121	—	47	4	no	—
1194	#121	—	47	4	no	—
1195	#121	—	47	4	no	—
1196	#121	—	47	4	no	—
1197	#121	—	47	8	no	—
1198	#121	—	47	8	no	—
1199	#121	—	47	8	no	—
1200	#121	—	47	4	no	—
1201	#121	—	47	4	no	—
1202	#121	—	47	8	no	—
1203	#121	—	47	8	no	—
1204	#121	—	47	8	no	—
1205	#121	—	47	8	no	—
1206	#121	—	47	8	no	—
1207	#121	—	47	8	no	—
1208	#121	—	47	8	no	—
1209	#121	—	47	8	no	—
1210	#121	—	47	8	no	—
1211	#121	—	47	8	no	—
1212	#121	C₂²×D₄₇	1	2	yes	—
1213	#121	C₂²×D₄₇	1	2	yes	—
1214	#121	C₂²×D₄₇	1	2	yes	—
1215	#121	C₂²×D₄₇	1	2	yes	—
1216	#121	C₂²×D₄₇	1	2	yes	—
1217	#121	C₂²×D₄₇	1	2	yes	—
1218	#120	—	47	8	no	—
1219	#120	—	47	8	no	—
1220	#120	—	47	8	no	—
1221	#120	—	47	8	no	—
1222	#120	—	47	8	no	—
1223	#120	—	47	8	no	—
1224	#120	—	47	8	no	—
1225	#120	—	47	8	no	—
1226	#120	—	47	8	no	—
1227	#120	—	47	8	no	—
1228	#120	—	47	8	no	—
1229	#120	C₂²×D₄₇	1	4	yes	—
1230	C₄×Q₈	—	47	4	no	—
1231	C₄×Q₈	—	47	4	no	—
1232	C₄×Q₈	—	47	2	no	—
1233	C₄×Q₈	—	47	2	no	—
1234	C₄×Q₈	—	47	2	no	—
1235	C₄×Q₈	—	47	2	no	—
1236	C₄×Q₈	—	47	4	no	—
1237	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
1238	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
1239	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
1240	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
1241	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
1242	C₄×Q₈	C₂²×D₄₇	1	2	yes	—
1243	C₄×D₄	—	47	8	no	—
1244	C₄×D₄	—	47	4	no	—
1245	C₄×D₄	—	47	8	no	—
1246	C₄×D₄	—	47	4	no	—
1247	C₄×D₄	—	47	4	no	—
1248	C₄×D₄	—	47	4	no	—
1249	C₄×D₄	—	47	8	no	—
1250	C₄×D₄	—	47	8	no	—
1251	C₄×D₄	—	47	8	no	—
1252	C₄×D₄	—	47	4	no	—
1253	C₄×D₄	—	47	4	no	—
1254	C₄×D₄	—	47	8	no	—
1255	C₄×D₄	—	47	8	no	—
1256	C₄×D₄	—	47	8	no	—
1257	C₄×D₄	—	47	8	no	—
1258	C₄×D₄	—	47	2	no	—
1259	C₄×D₄	—	47	4	no	—
1260	C₄×D₄	—	47	2	no	—
1261	C₄×D₄	—	47	8	no	—
1262	C₄×D₄	—	47	8	no	—
1263	C₄×D₄	—	47	4	no	—
1264	C₄×D₄	—	47	4	no	—
1265	C₄×D₄	—	47	4	no	—
1266	C₄×D₄	—	47	2	no	—
1267	C₄×D₄	—	47	2	no	—
1268	C₄×D₄	—	47	4	no	—
1269	C₄×D₄	—	47	4	no	—
1270	C₄×D₄	—	47	4	no	—
1271	C₄×D₄	—	47	4	no	—
1272	C₄×D₄	—	47	4	no	—
1273	C₄×D₄	—	47	4	no	—
1274	C₄×D₄	—	47	8	no	—
1275	C₄×D₄	—	47	4	no	—
1276	C₄×D₄	C₂²×D₄₇	1	4	yes	—
1277	C₄×D₄	C₂²×D₄₇	1	2	yes	—
1278	C₄×D₄	C₂²×D₄₇	1	2	yes	—
1279	C₄×D₄	C₂²×D₄₇	1	4	yes	—
1280	C₄×D₄	C₂²×D₄₇	1	4	yes	—
1281	C₄×D₄	C₂²×D₄₇	1	4	yes	—
1282	C₄×D₄	C₂²×D₄₇	1	4	yes	—
1283	C₄×D₄	C₂²×D₄₇	1	4	yes	—
1284	C₄×D₄	C₂²×D₄₇	1	2	yes	—
1285	C₄×D₄	C₂²×D₄₇	1	2	yes	—
1286	C₄×D₄	C₂²×D₄₇	1	2	yes	—
1287	C₄×D₄	C₂²×D₄₇	1	2	yes	—
1288	#117	—	47	4	no	—
1289	#117	—	47	4	no	—
1290	#117	—	47	4	no	—
1291	#117	—	47	4	no	—
1292	#117	—	47	4	no	—
1293	#117	—	47	8	no	—
1294	#117	—	47	8	no	—
1295	#117	C₂²×D₄₇	1	2	yes	—
1296	#117	C₂²×D₄₇	1	4	yes	—
1297	#117	C₂²×D₄₇	1	2	yes	—
1298	#117	C₂²×D₄₇	1	2	yes	—
1299	#117	C₂²×D₄₇	1	4	yes	—
1300	#117	C₂²×D₄₇	1	4	yes	—
1301	C₂×C₄⋊C₄	—	47	2	no	—
1302	C₂×C₄⋊C₄	—	47	2	no	—
1303	C₂×C₄⋊C₄	—	47	2	no	—
1304	C₂×C₄⋊C₄	—	47	2	no	—
1305	C₂×C₄⋊C₄	—	47	1	no	—
1306	C₂×C₄⋊C₄	—	47	2	no	—
1307	C₂×C₄⋊C₄	—	47	4	no	—
1308	C₂×C₄⋊C₄	—	47	1	no	—
1309	C₂×C₄⋊C₄	—	47	2	no	—
1310	C₂×C₄⋊C₄	—	47	8	no	—
1311	C₂×C₂²⋊C₄	—	47	2	no	—
1312	C₂×C₂²⋊C₄	—	47	2	no	—
1313	C₂×C₂²⋊C₄	—	47	2	no	—
1314	C₂×C₂²⋊C₄	—	47	4	no	—
1315	C₂×C₂²⋊C₄	—	47	4	no	—
1316	C₂×C₂²⋊C₄	—	47	2	no	—
1317	C₂×C₂²⋊C₄	—	47	2	no	—
1318	C₂×C₂²⋊C₄	—	47	8	no	—
1319	C₂×C₂²⋊C₄	—	47	8	no	—
1320	C₂×C₂²⋊C₄	—	47	8	no	—
1321	C₂×C₄²	—	47	2	no	—
1322	C₂×C₄²	—	47	8	no	—
1323	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1324	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1325	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1326	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1327	C₂×C₄²	C₂²×D₄₇	1	4	yes	—
1328	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1329	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1330	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1331	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1332	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1333	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1334	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1335	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1336	C₂⁴	—	47	2	no	—
1337	C₂⁴	—	47	4	no	—
1338	C₂⁴	—	47	8	no	—
1339	C₂⁴	C₂³×D₄₇	1	1	yes	characteristic
1340	#41	—	2	8	no	—
1341	#41	—	4	4	no	—
1342	#41	—	4	4	no	—
1343	#41	—	94	16	no	—
1344	#41	—	188	8	no	—
1345	#41	—	188	16	no	—
1346	#41	—	188	8	no	—
1347	#41	—	188	8	no	—
1348	#41	—	188	8	no	—
1349	#41	—	188	16	no	—
1350	#41	—	188	8	no	—
1351	#41	—	188	8	no	—
1352	C₂×Q₈	—	47	2	no	—
1353	C₂×Q₈	—	47	4	no	—
1354	C₂×Q₈	—	47	2	no	—
1355	C₂×Q₈	—	47	8	no	—
1356	C₂×Q₈	—	47	4	no	—
1357	C₂×Q₈	—	188	2	no	—
1358	C₂×Q₈	—	188	4	no	—
1359	C₂×Q₈	—	188	8	no	—
1360	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1361	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1362	C₂×Q₈	C₂³×D₄₇	1	2	yes	—
1363	C₂×D₄	—	47	4	no	—
1364	C₂×D₄	—	47	8	no	—
1365	C₂×D₄	—	47	8	no	—
1366	C₂×D₄	—	47	4	no	—
1367	C₂×D₄	—	47	8	no	—
1368	C₂×D₄	—	47	8	no	—
1369	C₂×D₄	—	47	8	no	—
1370	C₂×D₄	—	47	8	no	—
1371	C₂×D₄	—	47	2	no	—
1372	C₂×D₄	—	47	4	no	—
1373	C₂×D₄	—	47	4	no	—
1374	C₂×D₄	—	47	2	no	—
1375	C₂×D₄	—	47	8	no	—
1376	C₂×D₄	—	47	8	no	—
1377	C₂×D₄	—	47	4	no	—
1378	C₂×D₄	—	47	4	no	—
1379	C₂×D₄	—	47	4	no	—
1380	C₂×D₄	—	47	8	no	—
1381	C₂×D₄	—	47	4	no	—
1382	C₂×D₄	—	188	4	no	—
1383	C₂×D₄	—	188	2	no	—
1384	C₂×D₄	—	188	8	no	—
1385	C₂×D₄	—	188	4	no	—
1386	C₂×D₄	—	188	4	no	—
1387	C₂×D₄	—	188	8	no	—
1388	C₂×D₄	—	188	16	no	—
1389	C₂×D₄	—	188	16	no	—
1390	C₂×D₄	—	188	4	no	—
1391	C₂×D₄	—	188	8	no	—
1392	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1393	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1394	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1395	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1396	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1397	C₂×D₄	C₂³×D₄₇	1	4	yes	—
1398	C₂²×C₄	—	2	4	no	—
1399	C₂²×C₄	—	4	2	no	—
1400	C₂²×C₄	—	4	2	no	—
1401	C₂²×C₄	—	47	2	no	—
1402	C₂²×C₄	—	47	2	no	—
1403	C₂²×C₄	—	47	2	no	—
1404	C₂²×C₄	—	47	4	no	—
1405	C₂²×C₄	—	47	8	no	—
1406	C₂²×C₄	—	47	4	no	—
1407	C₂²×C₄	—	47	8	no	—
1408	C₂²×C₄	—	47	4	no	—
1409	C₂²×C₄	—	47	8	no	—
1410	C₂²×C₄	—	47	8	no	—
1411	C₂²×C₄	—	47	8	no	—
1412	C₂²×C₄	—	47	8	no	—
1413	C₂²×C₄	—	47	8	no	—
1414	C₂²×C₄	—	94	8	no	—
1415	C₂²×C₄	—	188	8	no	—
1416	C₂²×C₄	—	188	16	no	—
1417	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1418	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1419	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1420	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1421	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1422	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1423	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1424	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1425	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1426	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1429	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1430	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1431	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1432	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1433	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1434	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1435	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1436	C₂²×C₄	C₂³×D₄₇	1	4	yes	—
1437	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1438	C₄⋊C₄	—	47	4	no	—
1439	C₄⋊C₄	—	47	4	no	—
1440	C₄⋊C₄	—	47	4	no	—
1441	C₄⋊C₄	—	47	4	no	—
1442	C₄⋊C₄	—	47	4	no	—
1443	C₄⋊C₄	—	47	4	no	—
1444	C₄⋊C₄	—	47	8	no	—
1445	C₄⋊C₄	—	47	4	no	—
1446	C₄⋊C₄	—	47	4	no	—
1447	C₄⋊C₄	—	47	8	no	—
1448	C₄⋊C₄	—	47	8	no	—
1449	C₄⋊C₄	—	47	8	no	—
1450	C₄⋊C₄	—	47	2	no	—
1451	C₄⋊C₄	—	47	4	no	—
1452	C₄⋊C₄	—	47	2	no	—
1453	C₄⋊C₄	—	47	4	no	—
1454	C₄⋊C₄	—	47	4	no	—
1455	C₄⋊C₄	—	47	4	no	—
1456	C₄⋊C₄	—	47	8	no	—
1457	C₄⋊C₄	—	47	8	no	—
1458	C₄⋊C₄	—	47	2	no	—
1459	C₄⋊C₄	—	47	2	no	—
1460	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1461	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1462	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1463	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1464	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1465	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1466	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1467	C₄⋊C₄	C₂³×D₄₇	1	4	yes	—
1468	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1469	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1470	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1471	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1472	C₂²⋊C₄	—	47	4	no	—
1473	C₂²⋊C₄	—	47	8	no	—
1474	C₂²⋊C₄	—	47	4	no	—
1475	C₂²⋊C₄	—	47	8	no	—
1476	C₂²⋊C₄	—	47	4	no	—
1477	C₂²⋊C₄	—	47	4	no	—
1478	C₂²⋊C₄	—	47	8	no	—
1479	C₂²⋊C₄	—	47	4	no	—
1480	C₂²⋊C₄	—	47	4	no	—
1481	C₂²⋊C₄	—	47	4	no	—
1482	C₂²⋊C₄	—	47	4	no	—
1483	C₂²⋊C₄	—	47	4	no	—
1484	C₂²⋊C₄	—	47	8	no	—
1485	C₂²⋊C₄	—	47	8	no	—
1486	C₂²⋊C₄	—	47	4	no	—
1487	C₂²⋊C₄	—	47	8	no	—
1488	C₂²⋊C₄	—	47	8	no	—
1489	C₂²⋊C₄	—	47	8	no	—
1490	C₂²⋊C₄	—	47	8	no	—
1491	C₂²⋊C₄	—	47	8	no	—
1492	C₂²⋊C₄	—	47	8	no	—
1493	C₂²⋊C₄	—	47	8	no	—
1494	C₂²⋊C₄	—	47	8	no	—
1495	C₂²⋊C₄	—	47	8	no	—
1496	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1497	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1498	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1499	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1500	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1501	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1502	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1503	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1504	C₂²⋊C₄	C₂³×D₄₇	1	4	yes	—
1505	C₄²	—	47	4	no	—
1506	C₄²	—	47	8	no	—
1507	C₄²	—	47	8	no	—
1508	C₄²	—	47	4	no	—
1509	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1510	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1511	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1512	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1513	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1514	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1515	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1516	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1517	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1518	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1519	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1520	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1521	C₄²	C₂³×D₄₇	1	4	yes	—
1522	C₄²	C₂³×D₄₇	1	4	yes	—
1523	C₄²	C₂³×D₄₇	1	4	yes	—
1524	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1525	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1526	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1527	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1528	C₂³	—	2	2	no	—
1529	C₂³	—	2	2	no	—
1530	C₂³	—	4	1	no	—
1531	C₂³	—	47	4	no	—
1532	C₂³	—	47	8	no	—
1533	C₂³	—	94	4	no	—
1534	C₂³	—	94	8	no	—
1535	C₂³	—	188	4	no	—
1536	C₂³	—	188	8	no	—
1537	C₂³	—	188	2	no	—
1538	C₂³	—	188	4	no	—
1539	C₂³	—	188	2	no	—
1540	C₂³	—	188	8	no	—
1541	C₂³	—	188	8	no	—
1542	C₂³	C₂⁴×D₄₇	1	4	yes	—
1543	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1544	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1545	C₂³	C₂⁴×D₄₇	1	1	yes	characteristic
1546	Q₈	—	2	4	no	—
1547	Q₈	—	4	2	no	—
1548	Q₈	—	4	2	no	—
1549	Q₈	—	94	8	no	—
1550	Q₈	—	94	4	no	—
1551	Q₈	—	188	2	no	—
1552	Q₈	—	188	4	no	—
1553	Q₈	—	188	8	no	—
1554	D₄	—	2	8	no	—
1555	D₄	—	2	8	no	—
1556	D₄	—	2	4	no	—
1557	D₄	—	4	2	no	—
1558	D₄	—	4	2	no	—
1559	D₄	—	4	4	no	—
1560	D₄	—	94	16	no	—
1561	D₄	—	94	8	no	—
1562	D₄	—	94	8	no	—
1563	D₄	—	94	4	no	—
1564	D₄	—	94	8	no	—
1565	D₄	—	188	4	no	—
1566	D₄	—	188	4	no	—
1567	D₄	—	188	4	no	—
1568	D₄	—	188	2	no	—
1569	D₄	—	188	8	no	—
1570	D₄	—	188	8	no	—
1571	D₄	—	188	4	no	—
1572	D₄	—	188	8	no	—
1573	D₄	—	188	4	no	—
1574	D₄	—	188	8	no	—
1575	D₄	—	188	8	no	—
1576	D₄	—	188	8	no	—
1577	D₄	—	188	8	no	—
1578	D₄	—	188	8	no	—
1579	C₂×C₄	—	2	2	no	—
1580	C₂×C₄	—	2	2	no	—
1581	C₂×C₄	—	2	2	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	2	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	8	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	2	no	—
1589	C₂×C₄	—	2	2	no	—
1590	C₂×C₄	—	2	8	no	—
1591	C₂×C₄	—	4	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	1	no	—
1595	C₂×C₄	—	4	1	no	—
1596	C₂×C₄	—	4	1	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	4	no	—
1599	C₂×C₄	—	47	4	no	—
1600	C₂×C₄	—	47	4	no	—
1601	C₂×C₄	—	47	8	no	—
1602	C₂×C₄	—	47	4	no	—
1603	C₂×C₄	—	94	4	no	—
1604	C₂×C₄	—	94	8	no	—
1605	C₂×C₄	—	94	8	no	—
1606	C₂×C₄	—	94	16	no	—
1607	C₂×C₄	—	188	8	no	—
1608	C₂×C₄	—	188	8	no	—
1609	C₂×C₄	—	188	8	no	—
1610	C₂×C₄	—	188	8	no	—
1611	C₂×C₄	—	188	8	no	—
1612	C₂×C₄	—	188	4	no	—
1613	C₂×C₄	—	188	8	no	—
1614	C₂×C₄	—	188	2	no	—
1615	C₂×C₄	—	188	2	no	—
1616	C₂×C₄	#13094070	1	4	yes	—
1617	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1618	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1619	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1620	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1621	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1622	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1623	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1624	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1625	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1626	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1628	C₂×C₄	C₂⁴×D₄₇	1	4	yes	—
1629	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1630	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1631	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	4	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	4	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	4	no	—
1642	C₂²	—	4	4	no	—
1643	C₂²	—	94	4	no	—
1644	C₂²	—	94	8	no	—
1645	C₂²	—	94	8	no	—
1646	C₂²	—	94	8	no	—
1647	C₂²	—	94	4	no	—
1648	C₂²	—	94	4	no	—
1649	C₂²	—	376	8	no	—
1650	C₂²	—	376	4	no	—
1651	C₂²	—	376	16	no	—
1652	C₂²	C₂×#13094070	1	2	yes	—
1653	C₂²	#15689959	1	2	yes	—
1654	C₂²	C₂⁵×D₄₇	1	1	yes	characteristic
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	2	4	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	4	no	—
1666	C₄	—	2	4	no	—
1667	C₄	—	94	4	no	—
1668	C₄	—	94	8	no	—
1669	C₄	—	94	4	no	—
1670	C₄	—	94	4	no	—
1671	C₄	C₂×#13094070	1	2	yes	—
1672	C₄	C₂×#13094070	1	2	yes	—
1673	C₄	#15689959	1	2	yes	—
1674	C₂	—	2	2	no	—
1675	C₂	—	2	2	no	—
1676	C₂	—	4	1	no	—
1677	C₂	—	4	4	no	—
1678	C₂	—	188	4	no	—
1679	C₂	—	188	8	no	—
1680	C₂	C₂²×#13094070	1	1	yes	characteristic
1681	C₂	C₂×#15689959	1	1	yes	characteristic
1682	C₂	C₂×#15689959	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₄₇
commutator, socle, cosocle	C₂²×C₄₇	C₂⁶
Frattini	C₂²	C₂⁵×D₄₇
Fitting	C₄₇×#3444	C₂
hypercenter	#3444	D₄₇
hypocenter	C₄₇	#62748
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ #3444

Complements

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

N	H ≅ G/N	type
1. #20257968	C₂	semidirect
2. #20257953	C₂	semidirect
3. #20257934	C₂	semidirect
4. #20257919	C₂	semidirect
5. #20257911	C₂	semidirect
6. #20257904	C₂	semidirect
7. #20257859	C₂	semidirect
8. #20257825	C₂	semidirect
9. #20257760	C₂	semidirect
10. #20257718	C₂	semidirect
11. #20257627	C₂	semidirect
12. #20257615	C₂	semidirect
13. #20257572	C₂	semidirect
14. #20257527	C₂	semidirect
15. #20256998	C₂	semidirect
16. #20256981	C₂	semidirect
17. #41×D₁₈₈	C₂	semidirect
18. #20256871	C₂	semidirect
19. #20256804	C₂	semidirect
20. #20256798	C₂	semidirect
21. #20256780	C₂	semidirect
22. #20256715	C₂	semidirect
23. C₂×#15689673	C₂	semidirect
24. C₂×#15689657	C₂	semidirect
25. C₄₇×#3444	C₂	semidirect
26. C₂²×#10625350	C₂²	semidirect
27. C₂×#41×D₄₇	C₂²	semidirect
28. #15689877	C₂²	semidirect
29. #15689875	C₂²	semidirect
30. #15689871	C₂²	semidirect
31. #15689870	C₂²	semidirect
32. #15689869	C₂²	semidirect
33. #15689867	C₂²	semidirect
34. #15689865	C₂²	semidirect
35. #15689864	C₂²	semidirect
36. #15689863	C₂²	semidirect
37. #15689861	C₂²	semidirect
38. #15689858	C₂²	semidirect
39. #15689858	C₂²	semidirect
40. #15689856	C₂²	semidirect
41. #15689851	C₂²	semidirect
42. #15689845	C₂²	semidirect
43. #15689843	C₂²	semidirect
44. #15689833	C₂²	semidirect
45. #15689830	C₂²	semidirect
46. #15689822	C₂²	semidirect
47. #15689819	C₂²	semidirect
48. #15689819	C₂²	semidirect
49. #15689819	C₂²	semidirect
50. #15689817	C₂²	semidirect
51. #15689797	C₂²	semidirect
52. #15689797	C₂²	semidirect
53. #15689795	C₂²	semidirect
54. #15689794	C₂²	semidirect
55. #15689791	C₂²	semidirect
56. Q₈×D₁₈₈	C₂²	semidirect
57. #15689786	C₂²	semidirect
58. #15689785	C₂²	semidirect
59. #15689783	C₂²	semidirect
60. #15689782	C₂²	semidirect
61. #15689779	C₂²	semidirect
62. #15689777	C₂²	semidirect
63. #15689777	C₂²	semidirect
64. #15689775	C₂²	semidirect
65. #15689771	C₂²	semidirect
66. #15689770	C₂²	semidirect
67. #15689769	C₂²	semidirect
68. #15689769	C₂²	semidirect
69. #15689768	C₂²	semidirect
70. #15689768	C₂²	semidirect
71. #15689765	C₂²	semidirect
72. #15689764	C₂²	semidirect
73. #15689761	C₂²	semidirect
74. #15689760	C₂²	semidirect
75. D₄×D₁₈₈	C₂²	semidirect
76. D₄×D₁₈₈	C₂²	semidirect
77. D₄×D₁₈₈	C₂²	semidirect
78. #15689757	C₂²	semidirect
79. #15689755	C₂²	semidirect
80. #15689751	C₂²	semidirect
81. #15689748	C₂²	semidirect
82. #15689747	C₂²	semidirect
83. #15689747	C₂²	semidirect
84. #15689745	C₂²	semidirect
85. #15689744	C₂²	semidirect
86. #15689744	C₂²	semidirect
87. #15689736	C₂²	semidirect
88. #15689729	C₂²	semidirect
89. #15689728	C₂²	semidirect
90. #15689728	C₂²	semidirect
91. #15689724	C₂²	semidirect
92. #15689722	C₂²	semidirect
93. #15689722	C₂²	semidirect
94. #15689721	C₂²	semidirect
95. #15689717	C₂²	semidirect
96. #15689714	C₂²	semidirect
97. #15689713	C₂²	semidirect
98. #15689713	C₂²	semidirect
99. #15689713	C₂²	semidirect
100. #15689712	C₂²	semidirect
101. #15689710	C₂²	semidirect
102. #15689707	C₂²	semidirect
103. #15689706	C₂²	semidirect
104. #15689706	C₂²	semidirect
105. #15689701	C₂²	semidirect
106. #15689700	C₂²	semidirect
107. #15689700	C₂²	semidirect
108. #15689698	C₂²	semidirect
109. #15689693	C₂²	semidirect
110. #15689692	C₂²	semidirect
111. #15689691	C₂²	semidirect
112. #15689687	C₂²	semidirect
113. #15689686	C₂²	semidirect
114. #15689684	C₂²	semidirect
115. #15689681	C₂²	semidirect
116. #15689681	C₂²	semidirect
117. #15689681	C₂²	semidirect
118. #15689673	C₂²	semidirect
119. #15689673	C₂²	semidirect
120. #15689673	C₂²	semidirect
121. #15689673	C₂²	semidirect
122. #15689673	C₂²	semidirect
123. #15689673	C₂²	semidirect
124. #15689673	C₂²	semidirect
125. #15689673	C₂²	semidirect
126. #15689673	C₂²	semidirect
127. #15689670	C₂²	semidirect
128. #15689669	C₂²	semidirect
129. C₂×#13094024	C₂²	semidirect
130. C₂×#13094021	C₂²	semidirect
131. #15689660	C₂²	semidirect
132. #15689660	C₂²	semidirect
133. #15689657	C₂²	semidirect
134. #15689657	C₂²	semidirect
135. #15689657	C₂²	semidirect
136. #15689657	C₂²	semidirect
137. #15689657	C₂²	semidirect
138. #15689657	C₂²	semidirect
139. #15689657	C₂²	semidirect
140. #15689657	C₂²	semidirect
141. #15689657	C₂²	semidirect
142. #15689651	C₂²	semidirect
143. C₂×#13094018	C₂²	semidirect
144. C₂×#13094016	C₂²	semidirect
145. C₂×#13094012	C₂²	semidirect
146. C₂×#13094012	C₂²	semidirect
147. #15689635	C₂²	semidirect
148. #15689635	C₂²	semidirect
149. #15689632	C₂²	semidirect
150. #15689632	C₂²	semidirect
151. #15689632	C₂²	semidirect
152. #15689632	C₂²	semidirect
153. C₂×#13094007	C₂²	semidirect
154. C₂×#13094003	C₂²	semidirect
156. C₂×#13093998	C₂²	semidirect
157. C₂×#13093998	C₂²	semidirect
158. C₄×#10625350	C₂²	semidirect
159. #15689591	C₂²	semidirect
160. C₂×C₄×Dic₉₄	C₂²	semidirect
161. C₂×C₄×D₁₈₈	C₂²	semidirect
162. C₂×C₄×D₁₈₈	C₂²	semidirect
163. C₂×C₄×D₁₈₈	C₂²	semidirect
164. C₂×C₄×D₁₈₈	C₂²	semidirect
165. C₂×C₄×C₂²⋊D₄₇	C₂²	semidirect
166. C₄×D₄×D₄₇	C₂²	semidirect
167. C₂×#13093981	C₂²	semidirect
168. C₄₇×#533	C₂²	semidirect
169. C₄₇×#533	C₂²	semidirect
170. C₄₇×#533	C₂²	semidirect
171. C₄₇×#532	C₂²	semidirect
172. C₄₇×#532	C₂²	semidirect
173. C₄₇×#532	C₂²	semidirect
174. C₄₇×#529	C₂²	semidirect
175. C₄₇×#529	C₂²	semidirect
176. C₄₇×#529	C₂²	semidirect
177. C₄₇×#529	C₂²	semidirect
178. C₄₇×#529	C₂²	semidirect
179. C₄₇×#529	C₂²	semidirect
180. C₄₇×#525	C₂²	semidirect
181. C₄₇×#525	C₂²	semidirect
182. C₄₇×#525	C₂²	semidirect
183. C₄×#41×C₄₇	C₂²	semidirect
184. C₄×#41×C₄₇	C₂²	semidirect
185. C₄×#41×C₄₇	C₂²	semidirect
186. C₂²×C₄²×C₄₇	C₂²	semidirect
855. #3444	D₄₇	semidirect
959. #533	C₂×D₄₇	semidirect
960. #533	C₂×D₄₇	semidirect
961. #533	C₂×D₄₇	semidirect
973. #532	C₂×D₄₇	semidirect
974. #532	C₂×D₄₇	semidirect
975. #532	C₂×D₄₇	semidirect
990. #529	C₂×D₄₇	semidirect
991. #529	C₂×D₄₇	semidirect
992. #529	C₂×D₄₇	semidirect
993. #529	C₂×D₄₇	semidirect
994. #529	C₂×D₄₇	semidirect
995. #529	C₂×D₄₇	semidirect
1006. #525	C₂×D₄₇	semidirect
1007. #525	C₂×D₄₇	semidirect
1008. #525	C₂×D₄₇	semidirect
1016. C₄×#41	C₂×D₄₇	semidirect
1017. C₄×#41	C₂×D₄₇	semidirect
1018. C₄×#41	C₂×D₄₇	semidirect
1027. C₂²×C₄²	C₂×D₄₇	semidirect
1028. C₄₇	#62748	semidirect

Maximal subgroups

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

subgroup	index
#20257968	2
#20257953	2
#20257934	2
#20257919	2
#20257911	2
#20257904	2
#20257859	2
#20257825	2
#20257760	2
#20257718	2
#20257627	2
#20257615	2
#20257572	2
#20257527	2
#20256998	2
#20256981	2
#41×D₁₈₈	2
#20256871	2
#20256804	2
#20256798	2
#20256780	2
#20256715	2
C₂×#15689673	2
C₂×#15689657	2
C₄₇×#3444	2
#62748	47