Subgroups — #27101797

Order 12032.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1230 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257242	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×D₁₈₈	C₂	1	1	yes	maximal, characteristic, complemented
3	#20255673	C₂	1	1	yes	maximal, characteristic, complemented
4	#20255621	C₂	1	1	yes	maximal, characteristic, complemented
5	#20255571	C₂	1	2	yes	maximal, complemented
6	#20255541	C₂	1	2	yes	maximal, complemented
7	#20255329	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255307	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255147	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255119	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255055	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255009	C₂	1	1	yes	maximal, characteristic, complemented
13	#20254938	C₂	1	2	yes	maximal, complemented
14	#20254919	C₂	1	2	yes	maximal, complemented
15	#20254395	C₂	1	1	yes	maximal, characteristic, complemented
16	#20254323	C₂	1	1	yes	maximal, characteristic, complemented
17	#20254232	C₂	1	2	yes	maximal, complemented
18	#20254183	C₂	1	2	yes	maximal, complemented
19	#20253539	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252631	C₂	1	2	yes	maximal, complemented
21	#20252609	C₂	1	2	yes	maximal, complemented
22	#20252422	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3107	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₇	C₂²	1	2	yes	—
25	C₂×#13094056	C₂²	1	2	yes	complemented
26	C₂×#13094051	C₂²	1	2	yes	complemented
27	C₂×#13094047	C₂²	1	2	yes	complemented
28	C₂×#13094045	C₂²	1	2	yes	complemented
29	#15689858	—	2	1	no	—
30	#15689858	—	2	1	no	—
31	#15689846	C₂²	1	1	yes	characteristic
32	#15689846	C₂²	1	1	yes	characteristic, complemented
33	#15689839	C₂²	1	2	yes	complemented
34	#15689826	—	2	2	no	—
35	#15689795	C₂²	1	1	yes	characteristic
36	#15689795	C₂²	1	1	yes	characteristic
37	#15689795	C₂²	1	1	yes	characteristic, complemented
38	Q₈×D₁₈₈	C₂²	1	1	yes	characteristic
39	#15689785	C₂²	1	2	yes	—
40	#15689777	—	2	1	no	—
41	#15689777	C₂²	1	1	yes	characteristic
42	#15689776	C₂²	1	2	yes	complemented
43	#15689768	—	2	2	no	—
44	#15689768	C₂²	1	2	yes	—
45	D₄×D₁₈₈	—	2	1	no	—
46	D₄×D₁₈₈	C₂²	1	1	yes	characteristic
47	#15689713	—	2	2	no	—
48	#15689692	—	2	1	no	—
49	#15689673	—	2	1	no	—
50	#15689673	C₂²	1	1	yes	characteristic
51	#15689673	C₂²	1	1	yes	characteristic, complemented
52	#15689636	C₂²	1	2	yes	complemented
53	#15689636	C₂²	1	2	yes	complemented
54	#15689635	—	2	2	no	—
55	#15689635	C₂²	1	2	yes	—
56	#15689603	—	2	1	no	—
57	C₂×C₄×D₁₈₈	—	2	1	no	—
58	C₂×C₄×D₁₈₈	C₂²	1	1	yes	characteristic
59	#15689515	C₂²	1	2	yes	complemented
60	#15689500	C₂²	1	1	yes	characteristic, complemented
61	#15689496	C₂²	1	1	yes	characteristic, complemented
62	#15689485	C₂²	1	2	yes	complemented
63	#15689474	C₂²	1	1	yes	characteristic, complemented
64	#15689470	C₂²	1	1	yes	characteristic, complemented
65	#15689467	C₂²	1	2	yes	complemented
66	#15689466	C₂²	1	2	yes	complemented
67	#15689450	C₂²	1	2	yes	complemented
68	#15689449	C₂²	1	2	yes	complemented
69	#15689447	C₂²	1	2	yes	complemented
70	#15689408	C₂²	1	1	yes	characteristic, complemented
71	#15689403	C₂²	1	1	yes	characteristic, complemented
72	#15689380	C₂²	1	2	yes	complemented
73	#15689377	C₂²	1	2	yes	complemented
74	#15689372	C₂²	1	2	yes	complemented
75	#15689370	C₂²	1	2	yes	complemented
76	#15689363	C₂²	1	2	yes	complemented
77	#15689360	C₂²	1	2	yes	complemented
78	#15689355	C₂²	1	2	yes	complemented
79	#15689353	C₂²	1	2	yes	complemented
80	#15689339	C₂²	1	2	yes	complemented
81	#15689339	C₂²	1	2	yes	complemented
82	#15689333	C₂²	1	1	yes	characteristic, complemented
83	#15689333	C₂²	1	1	yes	characteristic, complemented
84	#15689323	C₂²	1	1	yes	characteristic, complemented
85	#15689323	C₂²	1	1	yes	characteristic, complemented
86	#15689323	C₂²	1	1	yes	characteristic, complemented
87	#15689318	C₂²	1	1	yes	characteristic, complemented
88	#15689288	C₂²	1	2	yes	complemented
89	#15689288	C₂²	1	2	yes	complemented
90	#15689284	C₂²	1	2	yes	complemented
91	#15689283	C₂²	1	2	yes	complemented
92	#15689283	C₂²	1	2	yes	complemented
93	#15689282	C₂²	1	2	yes	complemented
94	#15689277	C₂²	1	2	yes	complemented
95	#15689272	C₂²	1	2	yes	complemented
96	#15689271	C₂²	1	2	yes	complemented
97	#15689271	C₂²	1	2	yes	complemented
98	#15689271	C₂²	1	2	yes	complemented
99	#15689270	C₂²	1	2	yes	complemented
100	#15689270	C₂²	1	2	yes	complemented
101	#15689269	C₂²	1	2	yes	complemented
102	#15689268	C₂²	1	2	yes	—
103	#15689263	C₂²	1	2	yes	complemented
104	#15689258	C₂²	1	2	yes	complemented
105	#15689233	C₂²	1	2	yes	complemented
106	#15689221	C₂²	1	2	yes	complemented
107	#15689202	C₂²	1	1	yes	characteristic
108	#15689202	C₂²	1	1	yes	characteristic
109	#15689193	C₂²	1	2	yes	complemented
110	#15689193	C₂²	1	2	yes	complemented
111	C₈×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
112	C₈×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
113	#15689180	C₂²	1	1	yes	characteristic, complemented
114	#15689130	C₂²	1	2	yes	complemented
115	#15689126	C₂²	1	2	yes	complemented
116	#15689118	C₂²	1	2	yes	complemented
117	#15689116	C₂²	1	2	yes	complemented
118	#15689085	C₂²	1	2	yes	complemented
119	C₂²⋊C₈×D₄₇	C₂²	1	2	yes	complemented
120	C₄₇×#533	C₂²	1	1	yes	characteristic, complemented
121	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
122	C₄₇×#485	C₂²	1	1	yes	characteristic, complemented
123	C₄₇×#485	C₂²	1	1	yes	characteristic, complemented
124	C₄₇×#475	C₂²	1	1	yes	characteristic, complemented
125	C₄₇×#474	C₂²	1	1	yes	characteristic, complemented
126	C₄₇×#462	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#461	C₂²	1	1	yes	characteristic, complemented
128	C₄₇×#452	C₂²	1	1	yes	characteristic
129	C₄₇×#452	C₂²	1	1	yes	characteristic
130	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
131	C₄×Q₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
132	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
133	C₄×SD₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₄₇×#431	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10625354	C₂³	1	2	yes	—
136	C₂×#10625354	C₂³	1	2	yes	—
137	C₂×#10625354	C₂³	1	2	yes	—
138	C₂×#10625350	—	2	1	no	—
139	C₂×#10625350	—	2	2	no	—
140	C₂×#10625350	C₂³	1	2	yes	—
141	C₂×#10625352	—	2	2	no	—
142	C₂×#10625352	C₂³	1	2	yes	—
143	#41×D₄₇	—	4	4	no	—
144	#41×D₄₇	—	4	4	no	—
145	C₂×Q₈×D₄₇	C₂³	1	2	yes	—
146	C₂²×D₁₈₈	—	2	1	no	—
147	C₂²×D₁₈₈	D₄	1	1	yes	characteristic
148	C₂×D₄×D₄₇	—	2	2	no	—
149	C₂×D₄×D₄₇	C₂³	1	2	yes	—
150	C₂²×C₄×D₄₇	—	2	2	no	—
151	C₂²×C₄×D₄₇	C₂³	1	2	yes	—
152	#13094056	—	4	4	no	—
153	#13094051	—	4	4	no	—
154	#13094047	—	4	4	no	—
155	#13094045	—	4	4	no	—
156	C₂×#10625337	C₂³	1	2	yes	—
157	C₂×#10625337	C₂³	1	2	yes	—
158	C₂×#10625325	C₂³	1	2	yes	—
159	C₂×#10625325	C₂³	1	2	yes	—
160	C₂×#10625336	C₂³	1	2	yes	—
161	C₂×#10625336	C₂³	1	2	yes	—
162	C₂×#10625336	C₂³	1	2	yes	—
163	C₂×D₃₇₆	C₂³	1	2	yes	—
164	C₂×D₃₇₆	C₂³	1	2	yes	—
165	C₂×#10625334	C₂³	1	2	yes	—
166	C₂×#10625324	C₂³	1	2	yes	—
167	C₂×#10625324	C₂³	1	2	yes	—
168	C₂×C₈×D₄₇	C₂³	1	2	yes	—
169	C₂×C₈×D₄₇	C₂³	1	2	yes	—
170	#13094024	—	2	1	no	—
171	#13094024	C₂³	1	1	yes	characteristic
172	#13094024	C₂³	1	1	yes	characteristic
173	#13094021	—	2	1	no	—
174	#13094021	—	2	1	no	—
175	#13094021	—	2	1	no	—
176	#13094021	C₂³	1	1	yes	characteristic
177	#13094021	C₂³	1	1	yes	characteristic
178	#13094019	—	2	2	no	—
179	#13094019	—	2	2	no	—
180	#13094013	—	2	2	no	—
181	#13094013	—	2	2	no	—
182	#13094012	—	2	1	no	—
183	#13094012	—	2	1	no	—
184	#13094012	—	2	1	no	—
185	#13094012	—	2	2	no	—
186	#13094012	C₂³	1	2	yes	—
187	#13094009	—	2	2	no	—
188	#13094009	—	2	2	no	—
189	#13094009	—	2	2	no	—
190	#13094009	—	2	2	no	—
191	#13094008	—	2	2	no	—
192	#13094008	—	2	2	no	—
193	#13094008	—	2	2	no	—
194	#13094004	—	2	2	no	—
195	#13094004	—	2	2	no	—
196	#13094004	C₂³	1	2	yes	—
197	#13094004	C₂³	1	2	yes	—
198	#13094000	C₂³	1	2	yes	—
199	#13094000	C₂³	1	2	yes	—
200	#13093999	—	2	2	no	—
201	#13093999	—	2	2	no	—
202	#13093999	—	2	2	no	—
203	#13093999	—	2	2	no	—
204	#13093999	—	2	2	no	—
205	#13093999	—	2	2	no	—
206	#13093999	C₂³	1	2	yes	—
207	#13093999	C₂³	1	2	yes	—
208	#13093999	C₂³	1	2	yes	—
209	#13093999	C₂³	1	2	yes	—
210	#13093998	—	2	1	no	—
211	#13093998	—	2	1	no	—
212	#13093998	—	2	1	no	—
213	#13093998	—	2	1	no	—
214	#13093998	—	2	2	no	—
215	#13093998	—	2	1	no	—
216	#13093998	C₂³	1	2	yes	—
217	#13093994	—	2	2	no	—
218	#13093994	—	2	2	no	—
219	#13093994	—	2	2	no	—
220	#13093994	—	2	2	no	—
221	#13093994	—	2	2	no	—
222	C₄×Dic₉₄	—	2	1	no	—
223	C₄×Dic₉₄	—	2	1	no	—
224	C₄×D₁₈₈	—	2	1	no	—
225	C₄×D₁₈₈	—	2	2	no	—
226	C₄×D₁₈₈	—	2	2	no	—
227	C₄×D₁₈₈	—	2	1	no	—
228	C₄×D₁₈₈	—	2	1	no	—
229	C₄×D₁₈₈	—	2	1	no	—
230	C₄×D₁₈₈	—	2	2	no	—
231	C₄×D₁₈₈	—	2	1	no	—
232	C₄×D₁₈₈	—	2	1	no	—
233	C₄×D₁₈₈	—	2	1	no	—
234	C₄×D₁₈₈	D₄	1	2	yes	—
235	C₄×D₁₈₈	D₄	1	1	yes	characteristic
236	C₄×D₁₈₈	D₄	1	1	yes	characteristic
237	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
238	C₄×D₁₈₈	C₂³	1	2	yes	—
239	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
240	C₄×D₁₈₈	C₂³	1	2	yes	—
241	#13093986	—	2	2	no	—
242	#13093986	—	2	2	no	—
243	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
244	(C₂²⋊D₄₇)⋊C₄	—	2	2	no	—
245	#13093982	—	2	2	no	—
246	#13093982	C₂³	1	2	yes	—
247	#13093982	C₂³	1	2	yes	—
248	C₂×C₄⋊Dic₄₇	—	2	1	no	—
249	C₂×C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
250	C₄⋊C₄×D₄₇	—	2	2	no	—
251	C₂×(C₂×D₄₇)⋊C₄	—	2	2	no	—
252	C₂×(C₂×D₄₇)⋊C₄	D₄	1	2	yes	—
253	#13093957	C₂³	1	2	yes	—
254	#13093955	C₂³	1	2	yes	—
255	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
256	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
257	#13093949	C₂³	1	2	yes	—
258	#13093949	C₂³	1	2	yes	—
259	#13093948	C₂³	1	2	yes	—
260	#13093947	C₂³	1	2	yes	—
261	#13093947	C₂³	1	2	yes	—
262	#13093946	C₂³	1	2	yes	—
263	#13093946	C₂³	1	2	yes	—
264	#13093945	C₂³	1	2	yes	—
265	#13093944	C₂³	1	2	yes	—
266	#13093944	C₂³	1	2	yes	—
267	#13093944	C₂³	1	2	yes	—
268	#13093944	C₂³	1	2	yes	—
269	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
270	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	—
274	#13093935	C₂³	1	2	yes	—
275	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
276	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
277	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
279	C₂×SD₁₆×C₄₇	C₂³	1	1	yes	characteristic
280	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
281	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
282	#125×C₄₇	—	2	1	no	—
283	C₂²⋊Q₈×C₄₇	—	2	1	no	—
284	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
285	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₇	—	2	1	no	—
287	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
288	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
289	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
290	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
291	C₄×D₄×C₄₇	—	2	1	no	—
292	C₄×D₄×C₄₇	—	2	1	no	—
293	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
295	#117×C₄₇	—	2	1	no	—
296	#117×C₄₇	—	2	1	no	—
297	#117×C₄₇	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₄₇	—	2	1	no	—
299	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
300	#107×C₄₇	C₂³	1	1	yes	characteristic
301	#107×C₄₇	C₂³	1	1	yes	characteristic
302	#106×C₄₇	C₂³	1	1	yes	characteristic
303	#106×C₄₇	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
306	#103×C₄₇	C₂³	1	1	yes	characteristic
307	#103×C₄₇	C₂³	1	1	yes	characteristic
308	#103×C₄₇	C₂³	1	1	yes	characteristic
309	#103×C₄₇	C₂³	1	1	yes	characteristic
310	#103×C₄₇	C₂³	1	1	yes	characteristic
311	#103×C₄₇	C₂³	1	1	yes	characteristic
312	#102×C₄₇	C₂³	1	1	yes	characteristic
313	#102×C₄₇	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₇	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
318	C₂³×D₄₇	—	2	2	no	—
319	C₂³×D₄₇	C₂×D₄	1	2	yes	—
320	#41×C₄₇	—	2	2	no	—
321	#41×C₄₇	—	2	2	no	—
322	C₂×Q₈×C₄₇	—	2	1	no	—
323	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
324	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
325	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₄₇	—	2	1	no	—
327	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₄₇	—	2	1	no	—
329	C₂²×C₄×C₄₇	—	2	1	no	—
330	C₂²×C₄×C₄₇	—	2	1	no	—
331	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₇	—	2	2	no	—
335	C₂×C₂²⋊D₄₇	—	2	2	no	—
336	C₂×C₂²⋊D₄₇	—	2	2	no	—
337	C₂×C₂²⋊D₄₇	—	2	2	no	—
338	C₂²×Dic₄₇	—	2	2	no	—
339	C₂²×Dic₄₇	C₂×D₄	1	2	yes	—
340	#10625354	—	2	4	no	—
341	#10625354	—	4	2	no	—
342	#10625354	—	4	2	no	—
343	#10625354	—	4	2	no	—
344	#10625354	—	4	2	no	—
345	#10625354	—	4	2	no	—
346	Q₈×D₄₇	—	2	4	no	—
347	Q₈×D₄₇	—	4	2	no	—
348	#10625352	—	2	4	no	—
349	#10625352	—	4	2	no	—
350	#10625352	—	4	8	no	—
351	D₄×D₄₇	—	2	4	no	—
352	D₄×D₄₇	—	4	2	no	—
353	D₄×D₄₇	—	4	8	no	—
354	#10625350	—	4	2	no	—
355	#10625350	—	4	2	no	—
356	#10625350	—	4	8	no	—
357	#10625350	—	4	4	no	—
358	C₂×D₁₈₈	—	2	2	no	—
359	C₂×D₁₈₈	—	2	2	no	—
360	C₂×D₁₈₈	—	2	1	no	—
361	C₂×D₁₈₈	—	2	1	no	—
362	C₂×D₁₈₈	—	2	2	no	—
363	C₂×D₁₈₈	—	2	2	no	—
364	C₂×D₁₈₈	—	2	2	no	—
365	C₂×D₁₈₈	—	2	2	no	—
366	C₂×D₁₈₈	—	2	2	no	—
367	C₂×D₁₈₈	—	2	1	no	—
368	C₂×D₁₈₈	—	2	1	no	—
369	C₂×D₁₈₈	—	4	2	no	—
370	C₂×D₁₈₈	—	4	4	no	—
371	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
372	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
373	C₂×D₁₈₈	C₂×D₄	1	2	yes	—
374	C₂×D₁₈₈	C₂⁴	1	2	yes	—
375	C₂×D₁₈₈	C₂⁴	1	2	yes	—
376	C₂×C₄×D₄₇	—	2	2	no	—
377	C₂×C₄×D₄₇	—	2	2	no	—
378	C₂×C₄×D₄₇	—	2	2	no	—
379	C₂×C₄×D₄₇	—	2	2	no	—
380	C₂×C₄×D₄₇	—	2	2	no	—
381	C₂×C₄×D₄₇	—	2	2	no	—
382	C₂×C₄×D₄₇	—	4	2	no	—
383	C₂×C₄×D₄₇	—	4	2	no	—
384	C₂×C₄×D₄₇	—	4	8	no	—
385	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
386	C₂×C₄×D₄₇	C₂×D₄	1	2	yes	—
387	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
388	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
389	C₂×Dic₉₄	—	2	1	no	—
390	C₂×Dic₉₄	—	2	2	no	—
391	C₂×Dic₉₄	C₂⁴	1	2	yes	—
392	Q₁₆×C₄₇	—	2	2	no	—
393	Q₁₆×C₄₇	—	2	2	no	—
394	SD₁₆×C₄₇	—	2	2	no	—
395	SD₁₆×C₄₇	—	2	2	no	—
396	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
398	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
399	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
400	C₄⋊C₄×C₄₇	—	2	1	no	—
401	C₄⋊C₄×C₄₇	—	2	1	no	—
402	C₄⋊C₄×C₄₇	—	2	1	no	—
403	C₄⋊C₄×C₄₇	—	2	1	no	—
404	C₄⋊C₄×C₄₇	—	2	1	no	—
405	C₄⋊C₄×C₄₇	—	2	1	no	—
406	C₄⋊C₄×C₄₇	—	2	1	no	—
407	C₄⋊C₄×C₄₇	—	2	1	no	—
408	C₄⋊C₄×C₄₇	—	2	1	no	—
409	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
410	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
412	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₂²⋊C₄×C₄₇	—	2	1	no	—
414	C₂²⋊C₄×C₄₇	—	2	1	no	—
415	C₂²⋊C₄×C₄₇	—	2	1	no	—
416	C₂²⋊C₄×C₄₇	—	2	1	no	—
417	C₂²⋊C₄×C₄₇	—	2	1	no	—
418	C₄²×C₄₇	—	2	1	no	—
419	C₄²×C₄₇	—	2	1	no	—
420	C₄²×C₄₇	—	2	1	no	—
421	C₄²×C₄₇	—	2	1	no	—
422	C₄²×C₄₇	—	2	1	no	—
423	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
424	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
425	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
426	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
427	#10625337	—	4	2	no	—
428	#10625337	—	4	2	no	—
429	#10625336	—	2	4	no	—
430	#10625336	—	4	2	no	—
431	#10625336	—	4	2	no	—
432	#10625334	—	2	4	no	—
433	(C₂×D₄₇)⋊C₄	—	2	2	no	—
434	(C₂×D₄₇)⋊C₄	—	2	2	no	—
435	(C₂×D₄₇)⋊C₄	—	2	2	no	—
436	(C₂×D₄₇)⋊C₄	—	2	2	no	—
437	(C₂×D₄₇)⋊C₄	—	2	2	no	—
438	(C₂×D₄₇)⋊C₄	—	2	2	no	—
439	(C₂×D₄₇)⋊C₄	—	2	2	no	—
440	(C₂×D₄₇)⋊C₄	—	2	2	no	—
441	(C₂×D₄₇)⋊C₄	—	2	2	no	—
442	(C₂×D₄₇)⋊C₄	—	2	2	no	—
443	(C₂×D₄₇)⋊C₄	—	2	2	no	—
444	(C₂×D₄₇)⋊C₄	—	2	2	no	—
445	(C₂×D₄₇)⋊C₄	—	2	2	no	—
446	(C₂×D₄₇)⋊C₄	—	2	2	no	—
447	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
448	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
449	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
450	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
451	C₄⋊Dic₄₇	—	2	1	no	—
452	C₄⋊Dic₄₇	—	2	1	no	—
453	C₄⋊Dic₄₇	—	2	1	no	—
454	C₄⋊Dic₄₇	—	2	2	no	—
455	C₄⋊Dic₄₇	—	2	2	no	—
456	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
457	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
458	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
459	C₄⋊Dic₄₇	C₂⁴	1	2	yes	—
460	Dic₄₇⋊C₄	—	2	2	no	—
461	Dic₄₇⋊C₄	—	2	2	no	—
462	C₄×Dic₄₇	—	2	2	no	—
463	C₄×Dic₄₇	—	2	2	no	—
464	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
465	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
466	D₃₇₆	—	4	2	no	—
467	D₃₇₆	—	4	2	no	—
468	#10625325	—	4	2	no	—
469	#10625325	—	4	2	no	—
470	#10625324	—	4	2	no	—
471	#10625324	—	4	2	no	—
472	C₈×D₄₇	—	4	2	no	—
473	C₈×D₄₇	—	4	2	no	—
474	C₂³×C₄₇	—	2	1	no	—
475	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
476	C₂²×D₄₇	—	2	2	no	—
477	C₂²×D₄₇	—	2	2	no	—
478	C₂²×D₄₇	—	4	2	no	—
479	C₂²×D₄₇	—	4	2	no	—
480	C₂²×D₄₇	—	4	2	no	—
481	C₂²×D₄₇	—	4	4	no	—
482	C₂²×D₄₇	—	4	4	no	—
483	C₂²×D₄₇	—	8	2	no	—
484	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
485	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
486	Q₈×C₄₇	—	2	1	no	—
487	Q₈×C₄₇	—	2	1	no	—
488	Q₈×C₄₇	—	2	1	no	—
489	Q₈×C₄₇	—	2	1	no	—
490	Q₈×C₄₇	—	2	1	no	—
491	Q₈×C₄₇	—	8	1	no	—
492	Q₈×C₄₇	H(5,𝔽₂)	1	2	yes	—
493	D₄×C₄₇	—	2	4	no	—
494	D₄×C₄₇	—	2	1	no	—
495	D₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
496	C₂×C₄×C₄₇	—	2	4	no	—
497	C₂×C₄×C₄₇	—	2	1	no	—
498	C₂×C₄×C₄₇	—	2	2	no	—
499	C₂×C₄×C₄₇	—	2	1	no	—
500	C₂×C₄×C₄₇	—	2	1	no	—
501	C₂×C₄×C₄₇	—	2	1	no	—
502	C₂×C₄×C₄₇	—	2	1	no	—
503	C₂×C₄×C₄₇	—	2	1	no	—
504	C₂×C₄×C₄₇	—	2	1	no	—
505	C₂×C₄×C₄₇	—	2	1	no	—
506	C₂×C₄×C₄₇	—	2	1	no	—
507	C₂×C₄×C₄₇	—	4	1	no	—
508	C₂×C₄×C₄₇	—	4	2	no	—
509	C₂×C₄×C₄₇	—	8	1	no	—
510	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
516	C₂²⋊D₄₇	—	4	4	no	—
517	C₂²⋊D₄₇	—	4	4	no	—
518	C₂²⋊D₄₇	—	4	4	no	—
519	C₂²⋊D₄₇	—	4	4	no	—
520	C₂×Dic₄₇	—	2	2	no	—
521	C₂×Dic₄₇	—	2	2	no	—
522	C₂×Dic₄₇	—	4	2	no	—
523	C₂×Dic₄₇	—	4	4	no	—
524	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
525	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
526	D₁₈₈	—	2	2	no	—
527	D₁₈₈	—	2	2	no	—
528	D₁₈₈	—	2	2	no	—
529	D₁₈₈	—	2	2	no	—
530	D₁₈₈	—	2	2	no	—
531	D₁₈₈	—	2	2	no	—
532	D₁₈₈	—	4	2	no	—
533	D₁₈₈	—	4	4	no	—
534	D₁₈₈	—	4	4	no	—
535	D₁₈₈	—	4	2	no	—
536	D₁₈₈	—	4	2	no	—
537	D₁₈₈	—	8	1	no	—
538	D₁₈₈	—	8	1	no	—
539	D₁₈₈	—	8	2	no	—
540	D₁₈₈	—	8	2	no	—
541	D₁₈₈	—	8	2	no	—
542	D₁₈₈	—	8	2	no	—
543	D₁₈₈	—	8	2	no	—
544	C₄×D₄₇	—	2	2	no	—
545	C₄×D₄₇	—	2	2	no	—
546	C₄×D₄₇	—	2	2	no	—
547	C₄×D₄₇	—	2	2	no	—
548	C₄×D₄₇	—	4	2	no	—
549	C₄×D₄₇	—	4	2	no	—
550	C₄×D₄₇	—	4	4	no	—
551	C₄×D₄₇	—	4	4	no	—
552	C₄×D₄₇	—	4	4	no	—
553	C₄×D₄₇	—	4	4	no	—
554	C₄×D₄₇	—	8	2	no	—
555	C₄×D₄₇	—	8	2	no	—
556	Dic₉₄	—	2	2	no	—
557	Dic₉₄	—	2	2	no	—
558	Dic₉₄	—	4	4	no	—
559	Dic₉₄	—	4	2	no	—
560	C₈×C₄₇	—	2	1	no	—
561	C₈×C₄₇	—	2	1	no	—
562	C₈×C₄₇	—	2	1	no	—
563	C₈×C₄₇	—	2	1	no	—
564	C₄₇⋊C₈	—	2	2	no	—
565	C₄₇⋊C₈	—	2	2	no	—
566	#61608	—	47	1	no	maximal, Sylow
567	C₂²×C₄₇	—	2	1	no	—
568	C₂²×C₄₇	—	2	1	no	—
569	C₂²×C₄₇	—	2	2	no	—
570	C₂²×C₄₇	—	2	1	no	—
571	C₂²×C₄₇	—	4	1	no	—
572	C₂²×C₄₇	—	4	1	no	—
573	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
574	C₂×D₄₇	—	2	2	no	—
575	C₂×D₄₇	—	2	2	no	—
576	C₂×D₄₇	—	2	2	no	—
577	C₂×D₄₇	—	2	2	no	—
578	C₂×D₄₇	—	2	2	no	—
579	C₂×D₄₇	—	2	2	no	—
580	C₂×D₄₇	—	4	2	no	—
581	C₂×D₄₇	—	4	2	no	—
582	C₂×D₄₇	—	4	2	no	—
583	C₂×D₄₇	—	4	2	no	—
584	C₂×D₄₇	—	4	2	no	—
585	C₂×D₄₇	—	4	2	no	—
586	C₂×D₄₇	—	8	4	no	—
587	C₂×D₄₇	—	8	8	no	—
588	C₄×C₄₇	—	2	1	no	—
589	C₄×C₄₇	—	2	1	no	—
590	C₄×C₄₇	—	2	2	no	—
591	C₄×C₄₇	—	2	1	no	—
592	C₄×C₄₇	—	2	1	no	—
593	C₄×C₄₇	—	4	1	no	—
594	C₄×C₄₇	—	4	1	no	—
595	C₄×C₄₇	—	4	1	no	—
596	C₄×C₄₇	—	4	1	no	—
597	C₄×C₄₇	—	4	1	no	—
598	C₄×C₄₇	—	4	1	no	—
599	C₄×C₄₇	#575	1	2	yes	—
600	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
601	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
602	Dic₄₇	—	2	2	no	—
603	Dic₄₇	—	2	2	no	—
604	Dic₄₇	—	4	2	no	—
605	Dic₄₇	—	4	2	no	—
606	#3506	—	47	1	no	—
607	D₄×#41	—	47	1	no	—
608	#3328	—	47	1	no	—
609	#3324	—	47	1	no	—
610	#3321	—	47	2	no	—
611	#3319	—	47	2	no	—
612	#3304	—	47	1	no	—
613	#3302	—	47	1	no	—
614	#3287	—	47	1	no	—
615	#3284	—	47	1	no	—
616	#3278	—	47	1	no	—
617	#3274	—	47	1	no	—
618	#3269	—	47	2	no	—
619	#3267	—	47	2	no	—
620	#3216	—	47	1	no	—
621	#3207	—	47	1	no	—
622	#3197	—	47	2	no	—
623	#3191	—	47	2	no	—
624	#3115	—	47	1	no	—
625	#3107	D₄₇	1	1	yes	characteristic, complemented
626	#3005	—	47	2	no	—
627	#3002	—	47	2	no	—
628	#2974	—	47	1	no	—
629	C₂×C₄₇	—	4	1	no	—
630	C₂×C₄₇	—	4	2	no	—
631	C₂×C₄₇	#3484	1	1	yes	characteristic
632	C₂×C₄₇	C₂×#575	1	1	yes	characteristic
633	C₂×C₄₇	#3584	1	1	yes	characteristic
634	D₄₇	—	4	2	no	—
635	D₄₇	—	4	2	no	—
636	D₄₇	—	8	2	no	—
637	D₄₇	—	8	2	no	—
638	C₂²×#41	—	47	2	no	—
639	C₂×#137	—	47	2	no	—
640	C₂×AGL(1,ℤ/8)	—	47	2	no	—
641	C₂×#135	—	47	2	no	—
642	C₂×#135	—	47	2	no	—
643	#559	—	94	1	no	—
644	#559	—	94	1	no	—
645	#556	—	47	1	no	—
646	#556	—	47	1	no	—
647	#555	—	47	2	no	—
648	#553	—	94	2	no	—
649	#550	—	47	1	no	—
650	#550	—	47	1	no	—
651	#550	—	47	1	no	—
652	D₄×Q₈	—	47	1	no	—
653	#548	—	47	2	no	—
654	#547	—	47	2	no	—
655	#547	—	47	1	no	—
656	#547	—	94	1	no	—
657	#546	—	47	2	no	—
658	#546	—	94	2	no	—
659	D₄²	—	47	1	no	—
660	D₄²	—	94	1	no	—
661	#538	—	94	2	no	—
662	#535	—	94	1	no	—
663	#533	C₂×D₄₇	1	1	yes	characteristic, complemented
664	#532	—	47	1	no	—
665	#532	—	47	1	no	—
666	#532	—	94	1	no	—
667	#525	—	47	2	no	—
668	#525	—	47	2	no	—
669	#525	—	47	2	no	—
670	#525	—	94	2	no	—
671	#520	—	94	1	no	—
672	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
673	C₂×C₄×D₄	—	47	1	no	—
674	C₂×C₄×D₄	—	94	1	no	—
675	#497	—	47	2	no	—
676	#493	—	47	1	no	—
677	#492	—	47	1	no	—
678	#489	—	47	2	no	—
679	#487	—	47	1	no	—
680	#486	—	47	1	no	—
681	#485	—	47	2	no	—
682	#485	—	47	2	no	—
683	#485	C₂×D₄₇	1	1	yes	characteristic, complemented
684	#485	C₂×D₄₇	1	1	yes	characteristic, complemented
685	#482	—	47	2	no	—
686	#482	—	47	2	no	—
687	#482	—	47	2	no	—
688	#475	—	47	1	no	—
689	#475	C₂×D₄₇	1	1	yes	characteristic, complemented
690	#474	—	47	1	no	—
691	#474	C₂×D₄₇	1	1	yes	characteristic, complemented
692	#470	—	47	2	no	—
693	#469	—	47	2	no	—
694	#468	—	47	2	no	—
695	#468	—	47	2	no	—
696	#467	—	47	2	no	—
697	#466	—	47	2	no	—
698	#465	—	47	2	no	—
699	#465	—	47	2	no	—
700	#463	—	47	2	no	—
701	#463	—	47	2	no	—
702	#462	—	47	1	no	—
703	#462	—	47	1	no	—
704	#462	C₂×D₄₇	1	1	yes	characteristic, complemented
705	#461	C₂×D₄₇	1	1	yes	characteristic, complemented
706	#460	—	47	1	no	—
707	#460	—	47	1	no	—
708	#460	—	47	1	no	—
709	#459	—	47	1	no	—
710	#452	—	47	2	no	—
711	#452	—	47	2	no	—
712	#452	—	47	2	no	—
713	#452	—	47	2	no	—
714	#452	—	47	2	no	—
715	#452	—	47	2	no	—
716	#452	C₂×D₄₇	1	1	yes	characteristic
717	#452	C₂×D₄₇	1	1	yes	characteristic
718	#451	—	47	2	no	—
719	#450	—	47	2	no	—
720	#449	—	47	2	no	—
721	#449	—	47	2	no	—
722	#449	—	47	2	no	—
723	#449	—	47	2	no	—
724	#449	—	47	2	no	—
725	#449	—	47	2	no	—
726	#449	—	47	2	no	—
727	#448	—	47	2	no	—
728	#447	—	47	2	no	—
729	#442	—	47	2	no	—
730	#440	—	47	2	no	—
731	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
732	C₄×Q₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
733	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
734	C₄×SD₁₆	C₂×D₄₇	1	1	yes	characteristic, complemented
735	#436	—	47	1	no	—
736	#436	—	47	1	no	—
737	#435	—	47	2	no	—
738	#435	—	47	2	no	—
739	C₈×D₄	—	47	1	no	—
740	C₈×D₄	—	47	1	no	—
741	#432	—	47	1	no	—
742	#431	C₂×D₄₇	1	1	yes	characteristic, complemented
743	#419	—	47	2	no	—
744	#418	—	47	2	no	—
745	#416	—	47	2	no	—
746	#416	—	47	2	no	—
747	#407	—	47	2	no	—
748	C₂×C₂²⋊C₈	—	47	2	no	—
749	C₄₇	#61608	1	1	yes	characteristic, complemented, Sylow
750	C₂×#41	—	47	2	no	—
751	C₂×#41	—	47	2	no	—
752	C₂×#41	—	47	2	no	—
753	C₂×#41	—	47	2	no	—
754	C₂×#41	—	47	2	no	—
755	C₂×#41	—	94	2	no	—
756	C₂×#41	—	94	2	no	—
757	C₂×#41	—	94	1	no	—
758	C₂×#41	—	188	4	no	—
759	C₂×#41	—	188	4	no	—
760	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
761	C₂²×Q₈	—	47	2	no	—
762	C₂²×D₄	—	47	2	no	—
763	C₂²×D₄	—	47	1	no	—
764	C₂²×D₄	—	94	1	no	—
765	C₂²×D₄	—	94	2	no	—
766	C₂³×C₄	—	47	2	no	—
767	C₂³×C₄	—	94	2	no	—
768	#137	—	188	4	no	—
769	AGL(1,ℤ/8)	—	188	4	no	—
770	#135	—	188	4	no	—
771	#135	—	188	4	no	—
772	C₂×Q₁₆	—	47	2	no	—
773	C₂×Q₁₆	—	47	2	no	—
774	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
775	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
776	C₂×SD₁₆	—	47	2	no	—
777	C₂×SD₁₆	—	47	2	no	—
778	C₂×SD₁₆	—	47	2	no	—
779	C₂×SD₁₆	—	47	2	no	—
780	C₂×SD₁₆	—	47	2	no	—
781	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
782	C₂×SD₁₆	C₂²×D₄₇	1	1	yes	characteristic
783	C₂×D₈	—	47	2	no	—
784	C₂×D₈	—	47	2	no	—
785	C₂×D₈	—	47	2	no	—
786	C₂×M₁₆	—	47	2	no	—
787	C₂×M₁₆	—	47	2	no	—
788	C₂²×C₈	—	47	2	no	—
789	C₂²×C₈	—	47	2	no	—
790	C₄⋊Q₈	—	47	1	no	—
791	C₄⋊Q₈	—	47	1	no	—
792	C₄⋊Q₈	—	94	1	no	—
793	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
794	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
795	#127	—	47	1	no	—
796	#127	—	47	1	no	—
797	#127	—	94	1	no	—
798	#127	—	94	1	no	—
799	#127	—	94	1	no	—
800	#126	—	94	2	no	—
801	#126	—	94	2	no	—
802	#125	—	2	1	no	—
803	#124	—	47	2	no	—
804	#124	—	94	2	no	—
805	#124	—	94	1	no	—
806	#124	—	94	1	no	—
807	#124	—	94	2	no	—
808	#124	—	94	2	no	—
809	#124	—	94	1	no	—
810	#123	—	94	2	no	—
811	#123	—	94	2	no	—
812	#123	—	94	2	no	—
813	#123	—	94	2	no	—
814	#123	—	94	2	no	—
815	#123	—	94	2	no	—
816	#123	—	94	2	no	—
817	C₂²⋊Q₈	—	2	1	no	—
818	C₂²⋊Q₈	—	47	2	no	—
819	C₂²⋊Q₈	—	47	2	no	—
820	C₂²⋊Q₈	—	47	2	no	—
821	C₂²⋊Q₈	—	47	2	no	—
822	C₂²⋊Q₈	—	94	2	no	—
823	C₂²⋊Q₈	—	94	2	no	—
824	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
825	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
826	#121	—	47	2	no	—
827	#121	—	47	2	no	—
828	#121	—	47	2	no	—
829	#121	—	47	2	no	—
830	#121	—	47	2	no	—
831	#121	—	94	2	no	—
832	#121	—	94	2	no	—
833	#121	—	94	2	no	—
834	#121	—	94	2	no	—
835	#121	—	94	2	no	—
836	#121	—	94	2	no	—
837	#121	—	94	2	no	—
838	#121	—	94	1	no	—
839	#121	—	94	1	no	—
840	#121	—	94	1	no	—
841	#121	—	94	1	no	—
842	#121	—	94	1	no	—
843	#120	—	94	2	no	—
844	#120	—	94	2	no	—
845	#120	—	94	2	no	—
846	#120	—	94	2	no	—
847	#120	—	94	2	no	—
848	C₄×Q₈	—	2	1	no	—
849	C₄×Q₈	—	94	1	no	—
850	C₄×Q₈	—	94	1	no	—
851	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
852	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
853	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
854	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
855	C₄×D₄	—	2	1	no	—
856	C₄×D₄	—	2	1	no	—
857	C₄×D₄	—	47	1	no	—
858	C₄×D₄	—	47	2	no	—
859	C₄×D₄	—	47	1	no	—
860	C₄×D₄	—	47	1	no	—
861	C₄×D₄	—	47	2	no	—
862	C₄×D₄	—	47	1	no	—
863	C₄×D₄	—	47	2	no	—
864	C₄×D₄	—	94	2	no	—
865	C₄×D₄	—	94	1	no	—
866	C₄×D₄	—	94	1	no	—
867	C₄×D₄	—	94	1	no	—
868	C₄×D₄	—	94	2	no	—
869	C₄×D₄	—	94	2	no	—
870	C₄×D₄	—	94	1	no	—
871	C₄×D₄	—	94	2	no	—
872	C₄×D₄	—	94	2	no	—
873	C₄×D₄	—	94	2	no	—
874	C₄×D₄	—	94	2	no	—
875	C₄×D₄	—	94	1	no	—
876	C₄×D₄	—	94	1	no	—
877	C₄×D₄	—	94	1	no	—
878	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
879	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
880	#117	—	2	1	no	—
881	#117	—	2	1	no	—
882	#117	—	47	2	no	—
883	#117	—	47	2	no	—
884	#117	—	94	2	no	—
885	#117	C₂²×D₄₇	1	1	yes	characteristic
886	C₂×C₄⋊C₄	—	47	1	no	—
887	C₂×C₄⋊C₄	—	94	2	no	—
888	C₂×C₄⋊C₄	—	94	1	no	—
889	C₂×C₂²⋊C₄	—	47	2	no	—
890	C₂×C₂²⋊C₄	—	94	2	no	—
891	C₂×C₄²	—	2	1	no	—
892	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
893	#107	—	47	2	no	—
894	#107	C₂²×D₄₇	1	1	yes	characteristic
895	#107	C₂²×D₄₇	1	1	yes	characteristic
896	#106	—	47	2	no	—
897	#106	C₂²×D₄₇	1	1	yes	characteristic
898	#106	C₂²×D₄₇	1	1	yes	characteristic
899	C₄⋊C₈	—	47	1	no	—
900	C₄⋊C₈	—	47	1	no	—
901	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
902	C₄⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
903	#103	—	47	2	no	—
904	#103	—	47	2	no	—
905	#103	—	47	2	no	—
906	#103	—	47	2	no	—
907	#103	—	47	2	no	—
908	#103	C₂²×D₄₇	1	1	yes	characteristic
909	#103	C₂²×D₄₇	1	1	yes	characteristic
910	#103	C₂²×D₄₇	1	1	yes	characteristic
911	#103	C₂²×D₄₇	1	1	yes	characteristic
912	#103	C₂²×D₄₇	1	1	yes	characteristic
913	#103	C₂²×D₄₇	1	1	yes	characteristic
914	#102	—	47	2	no	—
915	#102	—	47	2	no	—
916	#102	—	47	2	no	—
917	#102	—	47	2	no	—
918	#102	—	47	2	no	—
919	#102	—	47	2	no	—
920	#102	—	47	2	no	—
921	#102	C₂²×D₄₇	1	1	yes	characteristic
922	#102	C₂²×D₄₇	1	1	yes	characteristic
923	C₂²⋊C₈	—	47	2	no	—
924	C₂²⋊C₈	—	47	2	no	—
925	C₂²⋊C₈	—	47	2	no	—
926	C₂²⋊C₈	—	47	2	no	—
927	C₂²⋊C₈	—	47	2	no	—
928	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
929	C₂²⋊C₈	C₂²×D₄₇	1	1	yes	characteristic
930	#97	—	47	2	no	—
931	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
932	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
933	C₂⁴	—	47	2	no	—
934	C₂⁴	—	94	2	no	—
935	#41	—	2	2	no	—
936	#41	—	2	2	no	—
937	#41	—	94	4	no	—
938	#41	—	94	4	no	—
939	#41	—	188	2	no	—
940	#41	—	188	2	no	—
941	#41	—	188	4	no	—
942	#41	—	188	8	no	—
943	#41	—	188	2	no	—
944	#41	—	188	2	no	—
945	#41	—	188	2	no	—
946	#41	—	188	2	no	—
947	#41	—	188	2	no	—
948	#41	—	188	2	no	—
949	#41	—	188	8	no	—
950	C₂×Q₈	—	2	1	no	—
951	C₂×Q₈	—	47	2	no	—
952	C₂×Q₈	—	94	2	no	—
953	C₂×Q₈	—	94	1	no	—
954	C₂×Q₈	—	94	4	no	—
955	C₂×Q₈	—	188	2	no	—
956	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
957	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
958	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
959	C₂×D₄	—	2	1	no	—
960	C₂×D₄	—	47	1	no	—
961	C₂×D₄	—	47	1	no	—
962	C₂×D₄	—	47	2	no	—
963	C₂×D₄	—	47	2	no	—
964	C₂×D₄	—	47	2	no	—
965	C₂×D₄	—	94	2	no	—
966	C₂×D₄	—	94	2	no	—
967	C₂×D₄	—	94	2	no	—
968	C₂×D₄	—	94	2	no	—
969	C₂×D₄	—	94	2	no	—
970	C₂×D₄	—	94	2	no	—
971	C₂×D₄	—	94	2	no	—
972	C₂×D₄	—	94	2	no	—
973	C₂×D₄	—	94	4	no	—
974	C₂×D₄	—	94	2	no	—
975	C₂×D₄	—	94	2	no	—
976	C₂×D₄	—	94	2	no	—
977	C₂×D₄	—	94	1	no	—
978	C₂×D₄	—	94	1	no	—
979	C₂×D₄	—	94	1	no	—
980	C₂×D₄	—	94	1	no	—
981	C₂×D₄	—	188	2	no	—
982	C₂×D₄	—	188	4	no	—
983	C₂×D₄	—	188	2	no	—
984	C₂×D₄	—	188	8	no	—
985	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
986	C₂²×C₄	—	2	1	no	—
987	C₂²×C₄	—	2	1	no	—
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	47	2	no	—
990	C₂²×C₄	—	47	2	no	—
991	C₂²×C₄	—	47	2	no	—
992	C₂²×C₄	—	47	2	no	—
993	C₂²×C₄	—	47	2	no	—
994	C₂²×C₄	—	94	2	no	—
995	C₂²×C₄	—	94	2	no	—
996	C₂²×C₄	—	94	2	no	—
997	C₂²×C₄	—	94	2	no	—
998	C₂²×C₄	—	94	2	no	—
999	C₂²×C₄	—	94	2	no	—
1000	C₂²×C₄	—	94	2	no	—
1001	C₂²×C₄	—	188	2	no	—
1002	C₂²×C₄	—	188	2	no	—
1003	C₂²×C₄	—	188	8	no	—
1004	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1005	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1006	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1007	Q₁₆	—	2	2	no	—
1008	Q₁₆	—	2	2	no	—
1009	Q₁₆	—	188	2	no	—
1010	Q₁₆	—	188	2	no	—
1011	SD₁₆	—	2	2	no	—
1012	SD₁₆	—	2	2	no	—
1013	SD₁₆	—	94	4	no	—
1014	SD₁₆	—	188	2	no	—
1015	SD₁₆	—	188	2	no	—
1016	SD₁₆	—	188	2	no	—
1017	SD₁₆	—	188	2	no	—
1018	D₈	—	94	4	no	—
1019	D₈	—	188	2	no	—
1020	D₈	—	188	2	no	—
1021	M₁₆	—	188	2	no	—
1022	M₁₆	—	188	2	no	—
1023	C₂×C₈	—	47	2	no	—
1024	C₂×C₈	—	47	2	no	—
1025	C₂×C₈	—	188	2	no	—
1026	C₂×C₈	—	188	2	no	—
1027	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1028	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1029	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1030	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	47	2	no	—
1041	C₄⋊C₄	—	47	1	no	—
1042	C₄⋊C₄	—	47	1	no	—
1043	C₄⋊C₄	—	47	2	no	—
1044	C₄⋊C₄	—	94	2	no	—
1045	C₄⋊C₄	—	94	2	no	—
1046	C₄⋊C₄	—	94	2	no	—
1047	C₄⋊C₄	—	94	2	no	—
1048	C₄⋊C₄	—	94	1	no	—
1049	C₄⋊C₄	—	94	1	no	—
1050	C₄⋊C₄	—	94	1	no	—
1051	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1052	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1053	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1054	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1055	C₂²⋊C₄	—	2	1	no	—
1056	C₂²⋊C₄	—	2	1	no	—
1057	C₂²⋊C₄	—	2	1	no	—
1058	C₂²⋊C₄	—	2	1	no	—
1059	C₂²⋊C₄	—	2	1	no	—
1060	C₂²⋊C₄	—	47	2	no	—
1061	C₂²⋊C₄	—	47	2	no	—
1062	C₂²⋊C₄	—	47	2	no	—
1063	C₂²⋊C₄	—	47	2	no	—
1064	C₂²⋊C₄	—	94	2	no	—
1065	C₂²⋊C₄	—	94	2	no	—
1066	C₂²⋊C₄	—	94	2	no	—
1067	C₂²⋊C₄	—	94	2	no	—
1068	C₂²⋊C₄	—	94	2	no	—
1069	C₂²⋊C₄	—	94	2	no	—
1070	C₂²⋊C₄	—	94	2	no	—
1071	C₂²⋊C₄	—	94	2	no	—
1072	C₂²⋊C₄	—	94	2	no	—
1073	C₂²⋊C₄	—	94	2	no	—
1074	C₂²⋊C₄	—	94	2	no	—
1075	C₂²⋊C₄	—	94	2	no	—
1076	C₂²⋊C₄	—	94	2	no	—
1077	C₂²⋊C₄	—	94	2	no	—
1078	C₄²	—	2	1	no	—
1079	C₄²	—	2	1	no	—
1080	C₄²	—	2	1	no	—
1081	C₄²	—	2	1	no	—
1082	C₄²	—	2	1	no	—
1083	C₄²	—	94	2	no	—
1084	C₄²	—	94	2	no	—
1085	C₄²	D₄×D₄₇	1	1	yes	characteristic
1086	C₄²	D₄×D₄₇	1	1	yes	characteristic
1087	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1088	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1089	C₂³	—	2	1	no	—
1090	C₂³	—	47	2	no	—
1091	C₂³	—	47	2	no	—
1092	C₂³	—	94	2	no	—
1093	C₂³	—	94	2	no	—
1094	C₂³	—	376	2	no	—
1095	C₂³	—	188	2	no	—
1096	C₂³	—	188	2	no	—
1097	C₂³	—	188	2	no	—
1098	C₂³	—	188	4	no	—
1099	C₂³	—	188	4	no	—
1100	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1101	Q₈	—	2	1	no	—
1102	Q₈	—	2	1	no	—
1103	Q₈	—	2	1	no	—
1104	Q₈	—	2	1	no	—
1105	Q₈	—	2	1	no	—
1106	Q₈	—	8	1	no	—
1107	Q₈	—	94	2	no	—
1108	Q₈	—	94	2	no	—
1109	Q₈	—	188	4	no	—
1110	Q₈	—	188	2	no	—
1111	Q₈	#13094070	1	2	yes	—
1112	D₄	—	2	4	no	—
1113	D₄	—	2	1	no	—
1114	D₄	—	94	2	no	—
1115	D₄	—	94	2	no	—
1116	D₄	—	94	2	no	—
1117	D₄	—	94	2	no	—
1118	D₄	—	94	2	no	—
1119	D₄	—	94	2	no	—
1120	D₄	—	376	1	no	—
1121	D₄	—	376	1	no	—
1122	D₄	—	376	2	no	—
1123	D₄	—	376	2	no	—
1124	D₄	—	376	2	no	—
1125	D₄	—	376	2	no	—
1126	D₄	—	376	2	no	—
1127	D₄	—	188	2	no	—
1128	D₄	—	188	4	no	—
1129	D₄	—	188	4	no	—
1130	D₄	—	188	4	no	—
1131	D₄	—	188	4	no	—
1132	D₄	—	188	4	no	—
1133	D₄	—	188	4	no	—
1134	D₄	—	188	2	no	—
1135	D₄	—	188	2	no	—
1136	D₄	#13094070	1	2	yes	—
1137	C₂×C₄	—	2	4	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	2	no	—
1150	C₂×C₄	—	8	1	no	—
1151	C₂×C₄	—	47	2	no	—
1152	C₂×C₄	—	47	2	no	—
1153	C₂×C₄	—	94	2	no	—
1154	C₂×C₄	—	94	2	no	—
1155	C₂×C₄	—	94	2	no	—
1156	C₂×C₄	—	94	2	no	—
1157	C₂×C₄	—	94	2	no	—
1158	C₂×C₄	—	94	2	no	—
1159	C₂×C₄	—	376	2	no	—
1160	C₂×C₄	—	376	2	no	—
1161	C₂×C₄	—	188	2	no	—
1162	C₂×C₄	—	188	2	no	—
1163	C₂×C₄	—	188	4	no	—
1164	C₂×C₄	—	188	4	no	—
1165	C₂×C₄	—	188	4	no	—
1166	C₂×C₄	—	188	4	no	—
1167	C₂×C₄	—	188	2	no	—
1168	C₂×C₄	—	188	4	no	—
1169	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1170	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1171	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1172	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1173	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1174	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1175	C₈	—	2	1	no	—
1176	C₈	—	2	1	no	—
1177	C₈	—	2	1	no	—
1178	C₈	—	2	1	no	—
1179	C₈	—	94	2	no	—
1180	C₈	—	94	2	no	—
1181	C₂²	—	2	1	no	—
1182	C₂²	—	2	1	no	—
1183	C₂²	—	2	1	no	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	4	1	no	—
1186	C₂²	—	4	1	no	—
1187	C₂²	—	94	2	no	—
1188	C₂²	—	94	2	no	—
1189	C₂²	—	94	2	no	—
1190	C₂²	—	94	2	no	—
1191	C₂²	—	94	2	no	—
1192	C₂²	—	94	2	no	—
1193	C₂²	—	376	8	no	—
1194	C₂²	—	376	4	no	—
1195	C₂²	—	188	2	no	—
1196	C₂²	—	188	2	no	—
1197	C₂²	—	188	2	no	—
1198	C₂²	—	188	2	no	—
1199	C₂²	—	188	2	no	—
1200	C₂²	—	188	2	no	—
1201	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1202	C₄	—	2	1	no	—
1203	C₄	—	2	1	no	—
1204	C₄	—	2	1	no	—
1205	C₄	—	2	1	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	4	1	no	—
1208	C₄	—	4	1	no	—
1209	C₄	—	4	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	94	2	no	—
1214	C₄	—	94	2	no	—
1215	C₄	—	188	2	no	—
1216	C₄	—	188	2	no	—
1217	C₄	#15689922	1	2	yes	—
1218	C₄	C₂×#13094070	1	1	yes	characteristic
1219	C₄	C₂×#13094070	1	1	yes	characteristic
1220	C₂	—	4	1	no	—
1221	C₂	—	4	2	no	—
1222	C₂	—	376	2	no	—
1223	C₂	—	376	2	no	—
1224	C₂	—	188	2	no	—
1225	C₂	—	188	2	no	—
1226	C₂	#20257021	1	1	yes	characteristic
1227	C₂	C₂×#15689922	1	1	yes	characteristic
1228	C₂	#20258157	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3107	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3107	D₄₇
hypocenter	C₄₇	#61608
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3107

Complements

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

N	H ≅ G/N	type
1. #20257242	C₂	semidirect
2. #41×D₁₈₈	C₂	semidirect
3. #20255673	C₂	semidirect
4. #20255621	C₂	semidirect
5. #20255571	C₂	semidirect
6. #20255541	C₂	semidirect
7. #20255329	C₂	semidirect
8. #20255307	C₂	semidirect
9. #20255147	C₂	semidirect
10. #20255119	C₂	semidirect
11. #20255055	C₂	semidirect
12. #20255009	C₂	semidirect
13. #20254938	C₂	semidirect
14. #20254919	C₂	semidirect
15. #20254395	C₂	semidirect
16. #20254323	C₂	semidirect
17. #20254232	C₂	semidirect
18. #20254183	C₂	semidirect
19. #20253539	C₂	semidirect
20. #20252631	C₂	semidirect
21. #20252609	C₂	semidirect
22. #20252422	C₂	semidirect
23. C₄₇×#3107	C₂	semidirect
25. C₂×#13094056	C₂²	semidirect
26. C₂×#13094051	C₂²	semidirect
27. C₂×#13094047	C₂²	semidirect
28. C₂×#13094045	C₂²	semidirect
32. #15689846	C₂²	semidirect
33. #15689839	C₂²	semidirect
37. #15689795	C₂²	semidirect
42. #15689776	C₂²	semidirect
51. #15689673	C₂²	semidirect
52. #15689636	C₂²	semidirect
53. #15689636	C₂²	semidirect
59. #15689515	C₂²	semidirect
60. #15689500	C₂²	semidirect
61. #15689496	C₂²	semidirect
62. #15689485	C₂²	semidirect
63. #15689474	C₂²	semidirect
64. #15689470	C₂²	semidirect
65. #15689467	C₂²	semidirect
66. #15689466	C₂²	semidirect
67. #15689450	C₂²	semidirect
68. #15689449	C₂²	semidirect
69. #15689447	C₂²	semidirect
70. #15689408	C₂²	semidirect
71. #15689403	C₂²	semidirect
72. #15689380	C₂²	semidirect
73. #15689377	C₂²	semidirect
74. #15689372	C₂²	semidirect
75. #15689370	C₂²	semidirect
76. #15689363	C₂²	semidirect
77. #15689360	C₂²	semidirect
78. #15689355	C₂²	semidirect
79. #15689353	C₂²	semidirect
80. #15689339	C₂²	semidirect
81. #15689339	C₂²	semidirect
82. #15689333	C₂²	semidirect
83. #15689333	C₂²	semidirect
84. #15689323	C₂²	semidirect
85. #15689323	C₂²	semidirect
86. #15689323	C₂²	semidirect
87. #15689318	C₂²	semidirect
88. #15689288	C₂²	semidirect
89. #15689288	C₂²	semidirect
90. #15689284	C₂²	semidirect
91. #15689283	C₂²	semidirect
92. #15689283	C₂²	semidirect
93. #15689282	C₂²	semidirect
94. #15689277	C₂²	semidirect
95. #15689272	C₂²	semidirect
96. #15689271	C₂²	semidirect
97. #15689271	C₂²	semidirect
98. #15689271	C₂²	semidirect
99. #15689270	C₂²	semidirect
100. #15689270	C₂²	semidirect
101. #15689269	C₂²	semidirect
103. #15689263	C₂²	semidirect
104. #15689258	C₂²	semidirect
105. #15689233	C₂²	semidirect
106. #15689221	C₂²	semidirect
109. #15689193	C₂²	semidirect
110. #15689193	C₂²	semidirect
111. C₈×D₁₈₈	C₂²	semidirect
112. C₈×D₁₈₈	C₂²	semidirect
113. #15689180	C₂²	semidirect
114. #15689130	C₂²	semidirect
115. #15689126	C₂²	semidirect
116. #15689118	C₂²	semidirect
117. #15689116	C₂²	semidirect
118. #15689085	C₂²	semidirect
119. C₂²⋊C₈×D₄₇	C₂²	semidirect
120. C₄₇×#533	C₂²	semidirect
122. C₄₇×#485	C₂²	semidirect
123. C₄₇×#485	C₂²	semidirect
124. C₄₇×#475	C₂²	semidirect
125. C₄₇×#474	C₂²	semidirect
126. C₄₇×#462	C₂²	semidirect
127. C₄₇×#461	C₂²	semidirect
130. C₄×Q₁₆×C₄₇	C₂²	semidirect
131. C₄×Q₁₆×C₄₇	C₂²	semidirect
132. C₄×SD₁₆×C₄₇	C₂²	semidirect
133. C₄×SD₁₆×C₄₇	C₂²	semidirect
134. C₄₇×#431	C₂²	semidirect
625. #3107	D₄₇	semidirect
663. #533	C₂×D₄₇	semidirect
683. #485	C₂×D₄₇	semidirect
684. #485	C₂×D₄₇	semidirect
689. #475	C₂×D₄₇	semidirect
691. #474	C₂×D₄₇	semidirect
704. #462	C₂×D₄₇	semidirect
705. #461	C₂×D₄₇	semidirect
731. C₄×Q₁₆	C₂×D₄₇	semidirect
732. C₄×Q₁₆	C₂×D₄₇	semidirect
733. C₄×SD₁₆	C₂×D₄₇	semidirect
734. C₄×SD₁₆	C₂×D₄₇	semidirect
742. #431	C₂×D₄₇	semidirect
749. C₄₇	#61608	semidirect

Maximal subgroups

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

subgroup	index
#20257242	2
#41×D₁₈₈	2
#20255673	2
#20255621	2
#20255571	2
#20255541	2
#20255329	2
#20255307	2
#20255147	2
#20255119	2
#20255055	2
#20255009	2
#20254938	2
#20254919	2
#20254395	2
#20254323	2
#20254232	2
#20254183	2
#20253539	2
#20252631	2
#20252609	2
#20252422	2
C₄₇×#3107	2
#61608	47