Subgroups — C₄₇×#62993 #26102691

Order 12032.

7044 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3524	C₂	1	2	yes	maximal, complemented
2	C₄₇×#3523	C₂	1	2	yes	maximal, complemented
3	C₄₇×#3521	C₂	1	6	yes	maximal, complemented
4	C₄₇×#3516	C₂	1	2	yes	maximal, complemented
5	C₄₇×#3515	C₂	1	6	yes	maximal, complemented
6	C₄₇×#3513	C₂	1	6	yes	maximal, complemented
7	C₄₇×#3512	C₂	1	3	yes	maximal, complemented
8	C₄₇×#3507	C₂	1	3	yes	maximal, complemented
9	C₄₇×#3504	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₇×#3495	C₂	1	3	yes	maximal, complemented
11	C₄₇×#3495	C₂	1	3	yes	maximal, complemented
12	C₄₇×#3493	C₂	1	3	yes	maximal, complemented
13	C₄₇×#3492	C₂	1	3	yes	maximal, complemented
14	C₄₇×#3489	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₇×#3489	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₇×#3482	C₂	1	2	yes	maximal, complemented
17	C₄₇×#3475	C₂	1	3	yes	maximal, complemented
18	C₄₇×#3475	C₂	1	6	yes	maximal, complemented
19	C₂×C₄₇×#552	C₂	1	3	yes	maximal, complemented
20	D₄×#41×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×2₋¹⁺⁴×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₇×#3428	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#520	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×2₋¹⁺⁴×C₄₇	C₂²	1	1	yes	characteristic
25	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
26	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
27	C₄₇×#559	C₂²	1	6	yes	complemented
28	C₄₇×#557	C₂²	1	2	yes	complemented
29	C₄₇×#557	C₂²	1	2	yes	complemented
30	C₄₇×#557	C₂²	1	6	yes	complemented
31	C₄₇×#556	C₂²	1	3	yes	complemented
32	C₄₇×#556	C₂²	1	6	yes	complemented
33	C₄₇×#556	C₂²	1	6	yes	complemented
34	C₄₇×#556	C₂²	1	6	yes	complemented
35	C₄₇×#556	C₂²	1	6	yes	complemented
36	C₄₇×#555	C₂²	1	3	yes	complemented
37	C₄₇×#555	C₂²	1	6	yes	complemented
38	C₄₇×#554	C₂²	1	3	yes	complemented
39	C₄₇×#554	C₂²	1	6	yes	complemented
40	C₄₇×#554	C₂²	1	6	yes	complemented
41	C₄₇×#554	C₂²	1	6	yes	complemented
42	C₄₇×#554	C₂²	1	6	yes	complemented
43	C₄₇×#553	C₂²	1	1	yes	characteristic
44	C₄₇×#553	C₂²	1	3	yes	complemented
45	C₄₇×#553	C₂²	1	12	yes	complemented
46	C₄₇×#553	C₂²	1	6	yes	complemented
47	C₄₇×#553	C₂²	1	6	yes	complemented
48	C₄₇×#553	C₂²	1	6	yes	complemented
49	C₄₇×#553	C₂²	1	12	yes	complemented
50	C₄₇×#552	C₂²	1	3	yes	—
51	C₄₇×#552	C₂²	1	6	yes	—
52	C₄₇×#552	C₂²	1	6	yes	complemented
53	C₄₇×#552	C₂²	1	6	yes	complemented
54	C₄₇×#552	C₂²	1	6	yes	complemented
55	C₄₇×#552	C₂²	1	6	yes	complemented
56	C₄₇×#552	C₂²	1	6	yes	complemented
57	C₄₇×#552	C₂²	1	6	yes	complemented
58	C₄₇×#552	C₂²	1	6	yes	complemented
59	C₄₇×#552	C₂²	1	12	yes	complemented
60	C₄₇×#552	C₂²	1	3	yes	complemented
61	C₄₇×#552	C₂²	1	6	yes	complemented
62	C₄₇×#552	C₂²	1	6	yes	complemented
63	C₄₇×#552	C₂²	1	6	yes	complemented
64	C₄₇×#552	C₂²	1	12	yes	complemented
65	C₄₇×#551	C₂²	1	6	yes	complemented
66	C₄₇×#551	C₂²	1	12	yes	complemented
67	C₄₇×#551	C₂²	1	6	yes	complemented
68	C₄₇×#551	C₂²	1	12	yes	complemented
69	C₄₇×#550	C₂²	1	1	yes	characteristic
70	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
71	D₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
72	D₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
73	C₄₇×#548	C₂²	1	1	yes	characteristic
74	C₄₇×#548	C₂²	1	1	yes	characteristic
75	C₄₇×#548	C₂²	1	2	yes	complemented
76	C₄₇×#548	C₂²	1	2	yes	complemented
77	C₄₇×#547	C₂²	1	3	yes	—
78	C₄₇×#547	C₂²	1	6	yes	complemented
79	C₄₇×#547	C₂²	1	3	yes	complemented
80	C₄₇×#547	C₂²	1	6	yes	complemented
81	C₄₇×#547	C₂²	1	6	yes	complemented
82	C₄₇×#546	C₂²	1	3	yes	—
83	C₄₇×#546	C₂²	1	3	yes	—
84	C₄₇×#546	C₂²	1	6	yes	—
85	C₄₇×#546	C₂²	1	6	yes	complemented
86	C₄₇×#546	C₂²	1	6	yes	complemented
87	D₄²×C₄₇	C₂²	1	3	yes	—
88	C₄₇×#544	C₂²	1	3	yes	complemented
89	C₄₇×#544	C₂²	1	3	yes	complemented
90	C₄₇×#542	C₂²	1	6	yes	complemented
91	C₄₇×#542	C₂²	1	6	yes	complemented
92	C₄₇×#541	C₂²	1	6	yes	complemented
93	C₄₇×#541	C₂²	1	6	yes	complemented
94	C₄₇×#541	C₂²	1	6	yes	complemented
95	C₄₇×#540	C₂²	1	6	yes	complemented
96	C₄₇×#539	C₂²	1	12	yes	complemented
97	C₄₇×#539	C₂²	1	12	yes	complemented
98	C₄₇×#538	C₂²	1	12	yes	complemented
99	C₄₇×#537	C₂²	1	3	yes	complemented
100	C₄₇×#537	C₂²	1	3	yes	complemented
101	C₄₇×#536	C₂²	1	3	yes	complemented
102	C₄₇×#536	C₂²	1	3	yes	complemented
103	C₄₇×#533	C₂²	1	6	yes	complemented
104	C₄₇×#533	C₂²	1	3	yes	complemented
105	C₄₇×#533	C₂²	1	6	yes	complemented
106	C₄₇×#532	C₂²	1	3	yes	—
107	C₄₇×#529	C₂²	1	6	yes	—
108	C₄₇×#529	C₂²	1	12	yes	complemented
109	C₄₇×#529	C₂²	1	6	yes	complemented
110	C₄₇×#529	C₂²	1	12	yes	complemented
111	C₄₇×#529	C₂²	1	6	yes	complemented
112	C₄₇×#529	C₂²	1	6	yes	complemented
113	C₄₇×#529	C₂²	1	6	yes	complemented
114	C₄₇×#529	C₂²	1	6	yes	complemented
115	C₄₇×#529	C₂²	1	6	yes	complemented
116	C₂×#126×C₄₇	C₂²	1	6	yes	complemented
117	C₂×#125×C₄₇	C₂²	1	3	yes	complemented
118	C₂×#125×C₄₇	C₂²	1	6	yes	complemented
119	C₄₇×#525	C₂²	1	3	yes	—
120	C₄₇×#525	C₂²	1	3	yes	—
121	C₄₇×#525	C₂²	1	3	yes	complemented
122	C₄₇×#525	C₂²	1	3	yes	complemented
123	C₄₇×#525	C₂²	1	12	yes	complemented
124	C₂×#123×C₄₇	C₂²	1	6	yes	—
125	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	3	yes	complemented
126	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	3	yes	complemented
127	C₄₇×#520	C₂²	1	1	yes	characteristic
128	C₄₇×#520	C₂²	1	1	yes	characteristic
129	C₄₇×#520	C₂²	1	1	yes	characteristic
130	C₄₇×#520	C₂²	1	3	yes	complemented
131	C₄₇×#520	C₂²	1	3	yes	complemented
132	C₄₇×#520	C₂²	1	6	yes	complemented
133	C₄₇×#520	C₂²	1	2	yes	complemented
134	C₄₇×#520	C₂²	1	3	yes	complemented
135	C₄₇×#520	C₂²	1	3	yes	complemented
136	C₄₇×#520	C₂²	1	3	yes	complemented
137	C₄₇×#520	C₂²	1	6	yes	complemented
138	C₄₇×#519	C₂²	1	2	yes	complemented
139	C₄₇×#519	C₂²	1	3	yes	complemented
140	C₄₇×#519	C₂²	1	2	yes	complemented
141	C₄₇×#518	C₂²	1	6	yes	complemented
142	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
143	C₄×#41×C₄₇	C₂²	1	6	yes	complemented
144	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
145	C₄×#41×C₄₇	C₂²	1	3	yes	complemented
146	C₄×#41×C₄₇	C₂²	1	6	yes	complemented
147	C₄×#41×C₄₇	C₂²	1	6	yes	complemented
148	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
149	C₂×C₄×Q₈×C₄₇	C₂²	1	3	yes	complemented
150	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
151	C₂×C₄×D₄×C₄₇	C₂²	1	3	yes	—
152	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	complemented
153	C₂×#117×C₄₇	C₂²	1	3	yes	complemented
154	C₂×#117×C₄₇	C₂²	1	3	yes	complemented
155	C₂×#117×C₄₇	C₂²	1	3	yes	complemented
156	C₂×#117×C₄₇	C₂²	1	6	yes	complemented
157	C₂²×C₄⋊C₄×C₄₇	C₂²	1	3	yes	complemented
158	2₋¹⁺⁴×C₄₇	—	2	8	no	—
159	C₂×#41×C₄₇	—	2	8	no	—
160	C₂×#41×C₄₇	—	2	8	no	—
161	C₂×#41×C₄₇	C₂³	1	3	yes	—
162	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
163	C₂×#41×C₄₇	C₂³	1	3	yes	—
164	C₂×#41×C₄₇	C₂³	1	6	yes	—
165	C₂×#41×C₄₇	C₂³	1	3	yes	—
166	C₂×#41×C₄₇	C₂³	1	3	yes	—
167	C₂×#41×C₄₇	C₂³	1	3	yes	—
168	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
169	C₂×#41×C₄₇	C₂³	1	6	yes	—
170	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
171	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
172	C₂²×Q₈×C₄₇	C₂³	1	3	yes	—
173	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
174	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
175	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
176	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
177	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
178	C₂³×C₄×C₄₇	C₂³	1	3	yes	—
179	C₂³×C₄×C₄₇	C₂³	1	3	yes	—
180	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
181	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
182	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
183	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
184	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
185	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
186	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
187	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
188	#127×C₄₇	C₂³	1	3	yes	—
189	#126×C₄₇	C₂³	1	6	yes	—
190	#126×C₄₇	C₂³	1	12	yes	—
191	#126×C₄₇	C₂³	1	12	yes	—
192	#126×C₄₇	C₂³	1	12	yes	—
193	#126×C₄₇	C₂³	1	6	yes	—
194	#126×C₄₇	C₂³	1	6	yes	—
195	#126×C₄₇	C₂³	1	6	yes	—
196	#126×C₄₇	C₂³	1	6	yes	—
197	#126×C₄₇	C₂³	1	2	yes	—
198	#126×C₄₇	C₂³	1	12	yes	—
199	#126×C₄₇	C₂³	1	12	yes	—
200	#126×C₄₇	C₂³	1	12	yes	—
201	#126×C₄₇	C₂³	1	12	yes	—
202	#125×C₄₇	C₂³	1	6	yes	—
203	#125×C₄₇	C₂³	1	3	yes	—
204	#125×C₄₇	C₂³	1	6	yes	—
205	#125×C₄₇	C₂³	1	12	yes	—
206	#125×C₄₇	C₂³	1	12	yes	—
207	#125×C₄₇	C₂³	1	12	yes	—
208	#125×C₄₇	C₂³	1	6	yes	—
209	#125×C₄₇	C₂³	1	6	yes	—
210	#125×C₄₇	C₂³	1	6	yes	—
211	#125×C₄₇	C₂³	1	12	yes	—
212	#125×C₄₇	C₂³	1	6	yes	—
213	#125×C₄₇	C₂³	1	6	yes	—
214	#125×C₄₇	C₂³	1	6	yes	—
215	#125×C₄₇	C₂³	1	1	yes	characteristic
216	#125×C₄₇	C₂³	1	12	yes	—
217	#124×C₄₇	C₂³	1	6	yes	—
218	#124×C₄₇	C₂³	1	6	yes	—
219	#124×C₄₇	C₂³	1	3	yes	—
220	#124×C₄₇	C₂³	1	3	yes	—
221	#124×C₄₇	C₂³	1	6	yes	—
222	#124×C₄₇	C₂³	1	6	yes	—
223	#124×C₄₇	C₂³	1	12	yes	—
224	#124×C₄₇	C₂³	1	6	yes	—
225	#123×C₄₇	C₂³	1	6	yes	—
226	#123×C₄₇	C₂³	1	12	yes	—
227	#123×C₄₇	C₂³	1	12	yes	—
228	#123×C₄₇	C₂³	1	12	yes	—
229	#123×C₄₇	C₂³	1	6	yes	—
230	#123×C₄₇	C₂³	1	6	yes	—
231	#123×C₄₇	C₂³	1	6	yes	—
232	#123×C₄₇	C₂³	1	6	yes	—
233	#123×C₄₇	C₂³	1	6	yes	—
234	#123×C₄₇	C₂³	1	2	yes	—
235	#123×C₄₇	C₂³	1	6	yes	—
236	#123×C₄₇	C₂³	1	12	yes	—
237	#123×C₄₇	C₂³	1	12	yes	—
238	#123×C₄₇	C₂³	1	12	yes	—
239	#123×C₄₇	C₂³	1	6	yes	—
240	#123×C₄₇	C₂³	1	6	yes	—
241	#123×C₄₇	C₂³	1	12	yes	—
242	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
243	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
244	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
245	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
246	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
247	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
248	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
249	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
250	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
251	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
252	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
253	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
254	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
255	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
256	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
257	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
258	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
259	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
260	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
261	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
262	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
263	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
264	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
265	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
266	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
267	#121×C₄₇	C₂³	1	3	yes	—
268	#121×C₄₇	C₂³	1	3	yes	—
269	#121×C₄₇	C₂³	1	3	yes	—
270	#121×C₄₇	C₂³	1	3	yes	—
271	#121×C₄₇	C₂³	1	1	yes	characteristic
272	#121×C₄₇	C₂³	1	1	yes	characteristic
273	#121×C₄₇	C₂³	1	3	yes	—
274	#121×C₄₇	C₂³	1	3	yes	—
275	#121×C₄₇	C₂³	1	12	yes	—
276	#121×C₄₇	C₂³	1	12	yes	—
277	#121×C₄₇	C₂³	1	2	yes	—
278	#121×C₄₇	C₂³	1	6	yes	—
279	#121×C₄₇	C₂³	1	12	yes	—
280	#121×C₄₇	C₂³	1	6	yes	—
281	#121×C₄₇	C₂³	1	6	yes	—
282	#121×C₄₇	C₂³	1	6	yes	—
283	#121×C₄₇	C₂³	1	6	yes	—
284	#121×C₄₇	C₂³	1	6	yes	—
285	#120×C₄₇	C₂³	1	6	yes	—
286	#120×C₄₇	C₂³	1	6	yes	—
287	#120×C₄₇	C₂³	1	6	yes	—
288	#120×C₄₇	C₂³	1	6	yes	—
289	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
290	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
291	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
292	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
293	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
294	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
295	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
296	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
297	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
298	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
299	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
300	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
301	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
302	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
303	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
304	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
305	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
306	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
307	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
308	C₄×Q₈×C₄₇	C₂³	1	12	yes	—
309	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
310	C₄×D₄×C₄₇	C₂³	1	3	yes	—
311	C₄×D₄×C₄₇	C₂³	1	3	yes	—
312	C₄×D₄×C₄₇	C₂³	1	3	yes	—
313	C₄×D₄×C₄₇	C₂³	1	3	yes	—
314	C₄×D₄×C₄₇	C₂³	1	3	yes	—
315	C₄×D₄×C₄₇	C₂³	1	3	yes	—
316	C₄×D₄×C₄₇	C₂³	1	3	yes	—
317	C₄×D₄×C₄₇	C₂³	1	6	yes	—
318	C₄×D₄×C₄₇	C₂³	1	6	yes	—
319	C₄×D₄×C₄₇	C₂³	1	12	yes	—
320	C₄×D₄×C₄₇	C₂³	1	6	yes	—
321	C₄×D₄×C₄₇	C₂³	1	12	yes	—
322	C₄×D₄×C₄₇	C₂³	1	6	yes	—
323	C₄×D₄×C₄₇	C₂³	1	3	yes	—
324	C₄×D₄×C₄₇	C₂³	1	3	yes	—
325	C₄×D₄×C₄₇	C₂³	1	2	yes	—
326	C₄×D₄×C₄₇	C₂³	1	6	yes	—
327	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
328	C₄×D₄×C₄₇	C₂³	1	6	yes	—
329	C₄×D₄×C₄₇	C₂³	1	12	yes	—
330	C₄×D₄×C₄₇	C₂³	1	6	yes	—
331	C₄×D₄×C₄₇	C₂³	1	6	yes	—
332	C₄×D₄×C₄₇	C₂³	1	12	yes	—
333	C₄×D₄×C₄₇	C₂³	1	12	yes	—
334	C₄×D₄×C₄₇	C₂³	1	6	yes	—
335	C₄×D₄×C₄₇	C₂³	1	3	yes	—
336	C₄×D₄×C₄₇	C₂³	1	6	yes	—
337	C₄×D₄×C₄₇	C₂³	1	6	yes	—
338	C₄×D₄×C₄₇	C₂³	1	6	yes	—
339	C₄×D₄×C₄₇	C₂³	1	6	yes	—
340	C₄×D₄×C₄₇	C₂³	1	6	yes	—
341	C₄×D₄×C₄₇	C₂³	1	6	yes	—
342	C₄×D₄×C₄₇	C₂³	1	6	yes	—
343	C₄×D₄×C₄₇	C₂³	1	12	yes	—
344	C₄×D₄×C₄₇	C₂³	1	12	yes	—
345	#117×C₄₇	C₂³	1	3	yes	—
346	#117×C₄₇	C₂³	1	1	yes	characteristic
347	#117×C₄₇	C₂³	1	3	yes	—
348	#117×C₄₇	C₂³	1	6	yes	—
349	#117×C₄₇	C₂³	1	6	yes	—
350	#117×C₄₇	C₂³	1	6	yes	—
351	#117×C₄₇	C₂³	1	6	yes	—
352	#117×C₄₇	C₂³	1	6	yes	—
353	#117×C₄₇	C₂³	1	3	yes	—
354	#117×C₄₇	C₂³	1	3	yes	—
355	#117×C₄₇	C₂³	1	6	yes	—
356	#117×C₄₇	C₂³	1	6	yes	—
357	#117×C₄₇	C₂³	1	6	yes	—
358	#117×C₄₇	C₂³	1	3	yes	—
359	#117×C₄₇	C₂³	1	3	yes	—
360	#117×C₄₇	C₂³	1	12	yes	—
361	#117×C₄₇	C₂³	1	12	yes	—
362	#117×C₄₇	C₂³	1	12	yes	—
363	#117×C₄₇	C₂³	1	3	yes	—
364	#117×C₄₇	C₂³	1	6	yes	—
365	#117×C₄₇	C₂³	1	12	yes	—
366	#117×C₄₇	C₂³	1	6	yes	—
367	#117×C₄₇	C₂³	1	6	yes	—
368	#117×C₄₇	C₂³	1	6	yes	—
369	#117×C₄₇	C₂³	1	12	yes	—
370	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
371	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
372	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
373	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
374	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
375	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
376	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
377	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
378	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
379	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
380	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
381	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
382	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
383	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
384	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
385	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
386	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
387	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
388	C₂×C₂²⋊C₄×C₄₇	C₂³	1	3	yes	—
389	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
390	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
391	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
392	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
393	C₂×C₂²⋊C₄×C₄₇	C₂³	1	3	yes	—
394	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
395	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
396	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
397	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
398	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
399	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
400	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
401	C₂⁴×C₄₇	C₂⁴	1	3	yes	—
402	C₂⁴×C₄₇	C₂⁴	1	3	yes	—
403	#41×C₄₇	—	2	4	no	—
404	#41×C₄₇	—	2	4	no	—
405	#41×C₄₇	—	2	12	no	—
406	#41×C₄₇	—	2	12	no	—
407	#41×C₄₇	—	2	24	no	—
408	#41×C₄₇	—	2	12	no	—
409	#41×C₄₇	—	2	12	no	—
410	#41×C₄₇	—	2	12	no	—
411	#41×C₄₇	—	4	12	no	—
412	#41×C₄₇	#41	1	8	yes	complemented
413	C₂×Q₈×C₄₇	—	2	4	no	—
414	C₂×Q₈×C₄₇	—	2	4	no	—
415	C₂×Q₈×C₄₇	—	2	8	no	—
416	C₂×Q₈×C₄₇	—	2	12	no	—
417	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
418	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
419	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
420	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
421	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
422	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
423	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
424	C₂×D₄×C₄₇	—	2	12	no	—
425	C₂×D₄×C₄₇	—	2	12	no	—
426	C₂×D₄×C₄₇	—	4	6	no	—
427	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
428	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
429	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
430	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
431	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
432	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
433	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
434	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
435	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
436	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
437	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
438	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
439	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
440	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
441	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
442	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
443	C₂²×C₄×C₄₇	—	2	12	no	—
444	C₂²×C₄×C₄₇	—	2	12	no	—
445	C₂²×C₄×C₄₇	—	4	12	no	—
446	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
447	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
448	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
449	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
450	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
451	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
452	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
453	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
455	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
456	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
457	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
459	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
460	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
461	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
462	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
463	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
464	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
465	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
466	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
467	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
468	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
469	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
470	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
471	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
472	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
473	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
474	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
475	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
476	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
477	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
478	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
479	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
480	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
481	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
482	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
483	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
484	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
485	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
486	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
487	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
488	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
489	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
490	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
491	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
492	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
493	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
494	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
495	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
496	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
497	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
498	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
499	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
500	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
501	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
502	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
503	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
504	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
505	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
506	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
507	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
508	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
509	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
510	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
511	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
512	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
513	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
514	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
515	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
516	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
517	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
518	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
519	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
520	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
521	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
522	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
523	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
524	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
525	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
526	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
527	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
528	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
529	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
530	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
531	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
532	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
533	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
534	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
535	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
536	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
537	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
538	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
539	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
540	C₄²×C₄₇	C₂⁴	1	6	yes	—
541	C₄²×C₄₇	C₂⁴	1	6	yes	—
542	C₄²×C₄₇	C₂⁴	1	6	yes	—
543	C₄²×C₄₇	C₂⁴	1	2	yes	—
544	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
545	C₄²×C₄₇	C₂⁴	1	3	yes	—
546	C₄²×C₄₇	C₂⁴	1	6	yes	—
547	C₄²×C₄₇	C₂⁴	1	12	yes	—
548	C₄²×C₄₇	C₂⁴	1	6	yes	—
549	C₄²×C₄₇	C₂⁴	1	6	yes	—
550	C₄²×C₄₇	C₂⁴	1	12	yes	—
551	C₄²×C₄₇	C₂⁴	1	3	yes	—
552	C₄²×C₄₇	C₂⁴	1	6	yes	—
553	C₄²×C₄₇	C₂⁴	1	6	yes	—
554	C₄²×C₄₇	C₂⁴	1	3	yes	—
555	C₂³×C₄₇	—	2	6	no	—
556	C₂³×C₄₇	—	2	6	no	—
557	C₂³×C₄₇	—	2	6	no	—
558	C₂³×C₄₇	—	4	3	no	—
559	C₂³×C₄₇	—	4	3	no	—
560	C₂³×C₄₇	—	4	3	no	—
561	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
562	C₂³×C₄₇	C₂⁵	1	3	yes	—
563	C₂³×C₄₇	C₂⁵	1	3	yes	—
564	C₂³×C₄₇	C₂⁵	1	2	yes	—
565	C₂³×C₄₇	C₂⁵	1	3	yes	—
566	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
567	Q₈×C₄₇	—	2	6	no	—
568	Q₈×C₄₇	—	2	12	no	—
569	Q₈×C₄₇	—	2	6	no	—
570	Q₈×C₄₇	—	2	6	no	—
571	Q₈×C₄₇	—	4	6	no	—
572	Q₈×C₄₇	—	4	6	no	—
573	Q₈×C₄₇	C₂×#41	1	4	yes	—
574	D₄×C₄₇	—	2	12	no	—
575	D₄×C₄₇	—	2	12	no	—
576	D₄×C₄₇	—	2	12	no	—
577	D₄×C₄₇	—	2	2	no	—
578	D₄×C₄₇	—	2	6	no	—
579	D₄×C₄₇	—	2	4	no	—
580	D₄×C₄₇	—	2	6	no	—
581	D₄×C₄₇	—	2	6	no	—
582	D₄×C₄₇	—	2	2	no	—
583	D₄×C₄₇	—	4	3	no	—
584	D₄×C₄₇	—	4	3	no	—
585	D₄×C₄₇	—	4	6	no	—
586	D₄×C₄₇	—	4	6	no	—
587	D₄×C₄₇	—	4	2	no	—
588	D₄×C₄₇	—	4	6	no	—
589	D₄×C₄₇	C₂×#41	1	12	yes	—
590	C₂×C₄×C₄₇	—	2	6	no	—
591	C₂×C₄×C₄₇	—	2	6	no	—
592	C₂×C₄×C₄₇	—	2	12	no	—
593	C₂×C₄×C₄₇	—	2	12	no	—
594	C₂×C₄×C₄₇	—	2	2	no	—
595	C₂×C₄×C₄₇	—	2	2	no	—
596	C₂×C₄×C₄₇	—	2	6	no	—
597	C₂×C₄×C₄₇	—	2	6	no	—
598	C₂×C₄×C₄₇	—	2	6	no	—
599	C₂×C₄×C₄₇	—	2	6	no	—
600	C₂×C₄×C₄₇	—	2	6	no	—
601	C₂×C₄×C₄₇	—	2	6	no	—
602	C₂×C₄×C₄₇	—	2	12	no	—
603	C₂×C₄×C₄₇	—	4	6	no	—
604	C₂×C₄×C₄₇	—	4	12	no	—
605	C₂×C₄×C₄₇	—	4	6	no	—
606	C₂×C₄×C₄₇	—	4	2	no	—
607	C₂×C₄×C₄₇	—	4	6	no	—
608	C₂×C₄×C₄₇	—	4	3	no	—
609	C₂×C₄×C₄₇	—	4	2	no	—
610	C₂×C₄×C₄₇	—	4	6	no	—
611	C₂×C₄×C₄₇	—	4	3	no	—
612	C₂×C₄×C₄₇	—	4	6	no	—
613	C₂×C₄×C₄₇	—	4	6	no	—
614	C₂×C₄×C₄₇	C₂×#41	1	12	yes	—
615	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
616	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
617	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
618	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
619	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
620	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
621	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
622	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
623	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
624	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
625	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
626	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
627	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
628	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
629	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
630	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
631	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
632	#62993	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
633	C₂²×C₄₇	—	2	1	no	—
634	C₂²×C₄₇	—	2	3	no	—
635	C₂²×C₄₇	—	2	3	no	—
636	C₂²×C₄₇	—	2	1	no	—
637	C₂²×C₄₇	—	2	1	no	—
638	C₂²×C₄₇	—	2	2	no	—
639	C₂²×C₄₇	—	2	3	no	—
640	C₂²×C₄₇	—	2	3	no	—
641	C₂²×C₄₇	—	2	3	no	—
642	C₂²×C₄₇	—	2	2	no	—
643	C₂²×C₄₇	—	2	3	no	—
644	C₂²×C₄₇	—	2	1	no	—
645	C₂²×C₄₇	—	2	3	no	—
646	C₂²×C₄₇	—	2	2	no	—
647	C₂²×C₄₇	—	2	3	no	—
648	C₂²×C₄₇	—	2	1	no	—
649	C₂²×C₄₇	—	4	12	no	—
650	C₂²×C₄₇	—	8	6	no	—
651	C₂²×C₄₇	C₂²×#41	1	6	yes	—
652	C₂²×C₄₇	#585	1	2	yes	—
653	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
654	C₄×C₄₇	—	2	1	no	—
655	C₄×C₄₇	—	2	1	no	—
656	C₄×C₄₇	—	2	3	no	—
657	C₄×C₄₇	—	2	3	no	—
658	C₄×C₄₇	—	2	6	no	—
659	C₄×C₄₇	—	2	6	no	—
660	C₄×C₄₇	—	2	6	no	—
661	C₄×C₄₇	—	2	1	no	—
662	C₄×C₄₇	—	2	3	no	—
663	C₄×C₄₇	—	2	2	no	—
664	C₄×C₄₇	—	2	1	no	—
665	C₄×C₄₇	—	2	2	no	—
666	C₄×C₄₇	—	2	6	no	—
667	C₄×C₄₇	—	2	3	no	—
668	C₄×C₄₇	—	2	2	no	—
669	C₄×C₄₇	C₂²×#41	1	2	yes	—
670	C₄×C₄₇	C₂²×#41	1	6	yes	—
671	#3524	C₂×C₄₇	1	2	yes	complemented
672	#3523	C₂×C₄₇	1	2	yes	complemented
673	#3521	C₂×C₄₇	1	6	yes	complemented
674	#3516	C₂×C₄₇	1	2	yes	complemented
675	#3515	C₂×C₄₇	1	6	yes	complemented
676	#3513	C₂×C₄₇	1	6	yes	complemented
677	#3512	C₂×C₄₇	1	3	yes	complemented
678	#3507	C₂×C₄₇	1	3	yes	complemented
679	#3504	C₂×C₄₇	1	1	yes	characteristic, complemented
680	#3495	C₂×C₄₇	1	3	yes	complemented
681	#3495	C₂×C₄₇	1	3	yes	complemented
682	#3493	C₂×C₄₇	1	3	yes	complemented
683	#3492	C₂×C₄₇	1	3	yes	complemented
684	#3489	C₂×C₄₇	1	1	yes	characteristic, complemented
685	#3489	C₂×C₄₇	1	1	yes	characteristic, complemented
686	#3482	C₂×C₄₇	1	2	yes	complemented
687	#3475	C₂×C₄₇	1	3	yes	complemented
688	#3475	C₂×C₄₇	1	6	yes	complemented
689	C₂×#552	C₂×C₄₇	1	3	yes	complemented
690	D₄×#41	C₂×C₄₇	1	1	yes	characteristic, complemented
691	C₄×2₋¹⁺⁴	C₂×C₄₇	1	1	yes	characteristic, complemented
692	#3428	C₂×C₄₇	1	1	yes	characteristic, complemented
693	C₂×#520	C₂×C₄₇	1	1	yes	characteristic, complemented
694	C₂×C₄₇	—	2	2	no	—
695	C₂×C₄₇	—	2	6	no	—
696	C₂×C₄₇	—	4	2	no	—
697	C₂×C₄₇	—	4	3	no	—
698	C₂×C₄₇	—	4	3	no	—
699	C₂×C₄₇	—	4	1	no	—
700	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
701	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
702	C₂×C₄₇	2₋¹⁺⁶	1	1	yes	characteristic
703	C₂×2₋¹⁺⁴	C₂²×C₄₇	1	1	yes	characteristic
704	C₂²×#41	C₂²×C₄₇	1	1	yes	characteristic
705	C₂²×#41	C₂²×C₄₇	1	1	yes	characteristic
706	#559	C₂²×C₄₇	1	6	yes	complemented
707	#557	C₂²×C₄₇	1	2	yes	complemented
708	#557	C₂²×C₄₇	1	2	yes	complemented
709	#557	C₂²×C₄₇	1	6	yes	complemented
710	#556	C₂²×C₄₇	1	3	yes	complemented
711	#556	C₂²×C₄₇	1	6	yes	complemented
712	#556	C₂²×C₄₇	1	6	yes	complemented
713	#556	C₂²×C₄₇	1	6	yes	complemented
714	#556	C₂²×C₄₇	1	6	yes	complemented
715	#555	C₂²×C₄₇	1	3	yes	complemented
716	#555	C₂²×C₄₇	1	6	yes	complemented
717	#554	C₂²×C₄₇	1	3	yes	complemented
718	#554	C₂²×C₄₇	1	6	yes	complemented
719	#554	C₂²×C₄₇	1	6	yes	complemented
720	#554	C₂²×C₄₇	1	6	yes	complemented
721	#554	C₂²×C₄₇	1	6	yes	complemented
722	#553	C₂²×C₄₇	1	1	yes	characteristic
723	#553	C₂²×C₄₇	1	3	yes	complemented
724	#553	C₂²×C₄₇	1	12	yes	complemented
725	#553	C₂²×C₄₇	1	6	yes	complemented
726	#553	C₂²×C₄₇	1	6	yes	complemented
727	#553	C₂²×C₄₇	1	6	yes	complemented
728	#553	C₂²×C₄₇	1	12	yes	complemented
729	#552	C₂²×C₄₇	1	3	yes	—
730	#552	C₂²×C₄₇	1	6	yes	—
731	#552	C₂²×C₄₇	1	6	yes	complemented
732	#552	C₂²×C₄₇	1	6	yes	complemented
733	#552	C₂²×C₄₇	1	6	yes	complemented
734	#552	C₂²×C₄₇	1	6	yes	complemented
735	#552	C₂²×C₄₇	1	6	yes	complemented
736	#552	C₂²×C₄₇	1	6	yes	complemented
737	#552	C₂²×C₄₇	1	6	yes	complemented
738	#552	C₂²×C₄₇	1	12	yes	complemented
739	#552	C₂²×C₄₇	1	3	yes	complemented
740	#552	C₂²×C₄₇	1	6	yes	complemented
741	#552	C₂²×C₄₇	1	6	yes	complemented
742	#552	C₂²×C₄₇	1	6	yes	complemented
743	#552	C₂²×C₄₇	1	12	yes	complemented
744	#551	C₂²×C₄₇	1	6	yes	complemented
745	#551	C₂²×C₄₇	1	12	yes	complemented
746	#551	C₂²×C₄₇	1	6	yes	complemented
747	#551	C₂²×C₄₇	1	12	yes	complemented
748	#550	C₂²×C₄₇	1	1	yes	characteristic
749	D₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic
750	D₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
751	D₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
752	#548	C₂²×C₄₇	1	1	yes	characteristic
753	#548	C₂²×C₄₇	1	1	yes	characteristic
754	#548	C₂²×C₄₇	1	2	yes	complemented
755	#548	C₂²×C₄₇	1	2	yes	complemented
756	#547	C₂²×C₄₇	1	3	yes	—
757	#547	C₂²×C₄₇	1	6	yes	complemented
758	#547	C₂²×C₄₇	1	3	yes	complemented
759	#547	C₂²×C₄₇	1	6	yes	complemented
760	#547	C₂²×C₄₇	1	6	yes	complemented
761	#546	C₂²×C₄₇	1	3	yes	—
762	#546	C₂²×C₄₇	1	3	yes	—
763	#546	C₂²×C₄₇	1	6	yes	—
764	#546	C₂²×C₄₇	1	6	yes	complemented
765	#546	C₂²×C₄₇	1	6	yes	complemented
766	D₄²	C₂²×C₄₇	1	3	yes	—
767	#544	C₂²×C₄₇	1	3	yes	complemented
768	#544	C₂²×C₄₇	1	3	yes	complemented
769	#542	C₂²×C₄₇	1	6	yes	complemented
770	#542	C₂²×C₄₇	1	6	yes	complemented
771	#541	C₂²×C₄₇	1	6	yes	complemented
772	#541	C₂²×C₄₇	1	6	yes	complemented
773	#541	C₂²×C₄₇	1	6	yes	complemented
774	#540	C₂²×C₄₇	1	6	yes	complemented
775	#539	C₂²×C₄₇	1	12	yes	complemented
776	#539	C₂²×C₄₇	1	12	yes	complemented
777	#538	C₂²×C₄₇	1	12	yes	complemented
778	#537	C₂²×C₄₇	1	3	yes	complemented
779	#537	C₂²×C₄₇	1	3	yes	complemented
780	#536	C₂²×C₄₇	1	3	yes	complemented
781	#536	C₂²×C₄₇	1	3	yes	complemented
782	#533	C₂²×C₄₇	1	6	yes	complemented
783	#533	C₂²×C₄₇	1	3	yes	complemented
784	#533	C₂²×C₄₇	1	6	yes	complemented
785	#532	C₂²×C₄₇	1	3	yes	—
786	#529	C₂²×C₄₇	1	6	yes	—
787	#529	C₂²×C₄₇	1	12	yes	complemented
788	#529	C₂²×C₄₇	1	6	yes	complemented
789	#529	C₂²×C₄₇	1	12	yes	complemented
790	#529	C₂²×C₄₇	1	6	yes	complemented
791	#529	C₂²×C₄₇	1	6	yes	complemented
792	#529	C₂²×C₄₇	1	6	yes	complemented
793	#529	C₂²×C₄₇	1	6	yes	complemented
794	#529	C₂²×C₄₇	1	6	yes	complemented
795	C₂×#126	C₂²×C₄₇	1	6	yes	complemented
796	C₂×#125	C₂²×C₄₇	1	3	yes	complemented
797	C₂×#125	C₂²×C₄₇	1	6	yes	complemented
798	#525	C₂²×C₄₇	1	3	yes	—
799	#525	C₂²×C₄₇	1	3	yes	—
800	#525	C₂²×C₄₇	1	3	yes	complemented
801	#525	C₂²×C₄₇	1	3	yes	complemented
802	#525	C₂²×C₄₇	1	12	yes	complemented
803	C₂×#123	C₂²×C₄₇	1	6	yes	—
804	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	3	yes	complemented
805	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	3	yes	complemented
806	#520	C₂²×C₄₇	1	1	yes	characteristic
807	#520	C₂²×C₄₇	1	1	yes	characteristic
808	#520	C₂²×C₄₇	1	1	yes	characteristic
809	#520	C₂²×C₄₇	1	3	yes	complemented
810	#520	C₂²×C₄₇	1	3	yes	complemented
811	#520	C₂²×C₄₇	1	6	yes	complemented
812	#520	C₂²×C₄₇	1	2	yes	complemented
813	#520	C₂²×C₄₇	1	3	yes	complemented
814	#520	C₂²×C₄₇	1	3	yes	complemented
815	#520	C₂²×C₄₇	1	3	yes	complemented
816	#520	C₂²×C₄₇	1	6	yes	complemented
817	#519	C₂²×C₄₇	1	2	yes	complemented
818	#519	C₂²×C₄₇	1	3	yes	complemented
819	#519	C₂²×C₄₇	1	2	yes	complemented
820	#518	C₂²×C₄₇	1	6	yes	complemented
821	C₄×#41	C₂²×C₄₇	1	1	yes	characteristic
822	C₄×#41	C₂²×C₄₇	1	6	yes	complemented
823	C₄×#41	C₂²×C₄₇	1	2	yes	complemented
824	C₄×#41	C₂²×C₄₇	1	3	yes	complemented
825	C₄×#41	C₂²×C₄₇	1	6	yes	complemented
826	C₄×#41	C₂²×C₄₇	1	6	yes	complemented
827	C₂×C₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
828	C₂×C₄×Q₈	C₂²×C₄₇	1	3	yes	complemented
829	C₂×C₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
830	C₂×C₄×D₄	C₂²×C₄₇	1	3	yes	—
831	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	complemented
832	C₂×#117	C₂²×C₄₇	1	3	yes	complemented
833	C₂×#117	C₂²×C₄₇	1	3	yes	complemented
834	C₂×#117	C₂²×C₄₇	1	3	yes	complemented
835	C₂×#117	C₂²×C₄₇	1	6	yes	complemented
836	C₂²×C₄⋊C₄	C₂²×C₄₇	1	3	yes	complemented
837	C₄₇	#62993	1	1	yes	characteristic, direct product factor, Sylow
838	2₋¹⁺⁴	—	2	8	no	—
839	C₂×#41	—	2	8	no	—
840	C₂×#41	—	2	8	no	—
841	C₂×#41	C₂³×C₄₇	1	3	yes	—
842	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
843	C₂×#41	C₂³×C₄₇	1	3	yes	—
844	C₂×#41	C₂³×C₄₇	1	6	yes	—
845	C₂×#41	C₂³×C₄₇	1	3	yes	—
846	C₂×#41	C₂³×C₄₇	1	3	yes	—
847	C₂×#41	C₂³×C₄₇	1	3	yes	—
848	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
849	C₂×#41	C₂³×C₄₇	1	6	yes	—
850	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
851	C₂²×Q₈	C₂³×C₄₇	1	1	yes	characteristic
852	C₂²×Q₈	C₂³×C₄₇	1	3	yes	—
853	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
854	C₂²×Q₈	C₂³×C₄₇	1	1	yes	characteristic
855	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
856	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
857	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
858	C₂³×C₄	C₂³×C₄₇	1	3	yes	—
859	C₂³×C₄	C₂³×C₄₇	1	3	yes	—
860	C₂³×C₄	C₂³×C₄₇	1	6	yes	—
861	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
862	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
863	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
864	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
865	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
866	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
867	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
868	#127	C₂³×C₄₇	1	3	yes	—
869	#126	C₂³×C₄₇	1	6	yes	—
870	#126	C₂³×C₄₇	1	12	yes	—
871	#126	C₂³×C₄₇	1	12	yes	—
872	#126	C₂³×C₄₇	1	12	yes	—
873	#126	C₂³×C₄₇	1	6	yes	—
874	#126	C₂³×C₄₇	1	6	yes	—
875	#126	C₂³×C₄₇	1	6	yes	—
876	#126	C₂³×C₄₇	1	6	yes	—
877	#126	C₂³×C₄₇	1	2	yes	—
878	#126	C₂³×C₄₇	1	12	yes	—
879	#126	C₂³×C₄₇	1	12	yes	—
880	#126	C₂³×C₄₇	1	12	yes	—
881	#126	C₂³×C₄₇	1	12	yes	—
882	#125	C₂³×C₄₇	1	6	yes	—
883	#125	C₂³×C₄₇	1	3	yes	—
884	#125	C₂³×C₄₇	1	6	yes	—
885	#125	C₂³×C₄₇	1	12	yes	—
886	#125	C₂³×C₄₇	1	12	yes	—
887	#125	C₂³×C₄₇	1	12	yes	—
888	#125	C₂³×C₄₇	1	6	yes	—
889	#125	C₂³×C₄₇	1	6	yes	—
890	#125	C₂³×C₄₇	1	6	yes	—
891	#125	C₂³×C₄₇	1	12	yes	—
892	#125	C₂³×C₄₇	1	6	yes	—
893	#125	C₂³×C₄₇	1	6	yes	—
894	#125	C₂³×C₄₇	1	6	yes	—
895	#125	C₂³×C₄₇	1	1	yes	characteristic
896	#125	C₂³×C₄₇	1	12	yes	—
897	#124	C₂³×C₄₇	1	6	yes	—
898	#124	C₂³×C₄₇	1	6	yes	—
899	#124	C₂³×C₄₇	1	3	yes	—
900	#124	C₂³×C₄₇	1	3	yes	—
901	#124	C₂³×C₄₇	1	6	yes	—
902	#124	C₂³×C₄₇	1	6	yes	—
903	#124	C₂³×C₄₇	1	12	yes	—
904	#124	C₂³×C₄₇	1	6	yes	—
905	#123	C₂³×C₄₇	1	6	yes	—
906	#123	C₂³×C₄₇	1	12	yes	—
907	#123	C₂³×C₄₇	1	12	yes	—
908	#123	C₂³×C₄₇	1	12	yes	—
909	#123	C₂³×C₄₇	1	6	yes	—
910	#123	C₂³×C₄₇	1	6	yes	—
911	#123	C₂³×C₄₇	1	6	yes	—
912	#123	C₂³×C₄₇	1	6	yes	—
913	#123	C₂³×C₄₇	1	6	yes	—
914	#123	C₂³×C₄₇	1	2	yes	—
915	#123	C₂³×C₄₇	1	6	yes	—
916	#123	C₂³×C₄₇	1	12	yes	—
917	#123	C₂³×C₄₇	1	12	yes	—
918	#123	C₂³×C₄₇	1	12	yes	—
919	#123	C₂³×C₄₇	1	6	yes	—
920	#123	C₂³×C₄₇	1	6	yes	—
921	#123	C₂³×C₄₇	1	12	yes	—
922	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
923	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
924	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
925	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
926	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
927	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
928	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
929	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
930	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
931	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
932	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
933	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
934	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
935	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
936	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
937	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
938	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
939	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
940	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
941	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
942	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
943	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
944	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
945	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
946	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
947	#121	C₂³×C₄₇	1	3	yes	—
948	#121	C₂³×C₄₇	1	3	yes	—
949	#121	C₂³×C₄₇	1	3	yes	—
950	#121	C₂³×C₄₇	1	3	yes	—
951	#121	C₂³×C₄₇	1	1	yes	characteristic
952	#121	C₂³×C₄₇	1	1	yes	characteristic
953	#121	C₂³×C₄₇	1	3	yes	—
954	#121	C₂³×C₄₇	1	3	yes	—
955	#121	C₂³×C₄₇	1	12	yes	—
956	#121	C₂³×C₄₇	1	12	yes	—
957	#121	C₂³×C₄₇	1	2	yes	—
958	#121	C₂³×C₄₇	1	6	yes	—
959	#121	C₂³×C₄₇	1	12	yes	—
960	#121	C₂³×C₄₇	1	6	yes	—
961	#121	C₂³×C₄₇	1	6	yes	—
962	#121	C₂³×C₄₇	1	6	yes	—
963	#121	C₂³×C₄₇	1	6	yes	—
964	#121	C₂³×C₄₇	1	6	yes	—
965	#120	C₂³×C₄₇	1	6	yes	—
966	#120	C₂³×C₄₇	1	6	yes	—
967	#120	C₂³×C₄₇	1	6	yes	—
968	#120	C₂³×C₄₇	1	6	yes	—
969	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
970	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
971	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
972	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
973	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
974	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
975	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
976	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
977	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
978	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
979	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
980	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
981	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
982	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
983	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
984	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
985	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
986	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
987	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
988	C₄×Q₈	C₂³×C₄₇	1	12	yes	—
989	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
990	C₄×D₄	C₂³×C₄₇	1	3	yes	—
991	C₄×D₄	C₂³×C₄₇	1	3	yes	—
992	C₄×D₄	C₂³×C₄₇	1	3	yes	—
993	C₄×D₄	C₂³×C₄₇	1	3	yes	—
994	C₄×D₄	C₂³×C₄₇	1	3	yes	—
995	C₄×D₄	C₂³×C₄₇	1	3	yes	—
996	C₄×D₄	C₂³×C₄₇	1	3	yes	—
997	C₄×D₄	C₂³×C₄₇	1	6	yes	—
998	C₄×D₄	C₂³×C₄₇	1	6	yes	—
999	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1000	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1001	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1002	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1003	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1004	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1005	C₄×D₄	C₂³×C₄₇	1	2	yes	—
1006	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1007	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
1008	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1009	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1010	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1011	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1012	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1013	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1014	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1015	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1016	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1017	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1018	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1019	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1020	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1021	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1022	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1023	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1024	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1025	#117	C₂³×C₄₇	1	3	yes	—
1026	#117	C₂³×C₄₇	1	1	yes	characteristic
1027	#117	C₂³×C₄₇	1	3	yes	—
1028	#117	C₂³×C₄₇	1	6	yes	—
1029	#117	C₂³×C₄₇	1	6	yes	—
1030	#117	C₂³×C₄₇	1	6	yes	—
1031	#117	C₂³×C₄₇	1	6	yes	—
1032	#117	C₂³×C₄₇	1	6	yes	—
1033	#117	C₂³×C₄₇	1	3	yes	—
1034	#117	C₂³×C₄₇	1	3	yes	—
1035	#117	C₂³×C₄₇	1	6	yes	—
1036	#117	C₂³×C₄₇	1	6	yes	—
1037	#117	C₂³×C₄₇	1	6	yes	—
1038	#117	C₂³×C₄₇	1	3	yes	—
1039	#117	C₂³×C₄₇	1	3	yes	—
1040	#117	C₂³×C₄₇	1	12	yes	—
1041	#117	C₂³×C₄₇	1	12	yes	—
1042	#117	C₂³×C₄₇	1	12	yes	—
1043	#117	C₂³×C₄₇	1	3	yes	—
1044	#117	C₂³×C₄₇	1	6	yes	—
1045	#117	C₂³×C₄₇	1	12	yes	—
1046	#117	C₂³×C₄₇	1	6	yes	—
1047	#117	C₂³×C₄₇	1	6	yes	—
1048	#117	C₂³×C₄₇	1	6	yes	—
1049	#117	C₂³×C₄₇	1	12	yes	—
1050	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1051	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1052	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1053	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1054	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1055	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1056	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1057	C₂×C₄⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1059	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1060	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1061	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1062	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1063	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1064	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1065	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1066	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1067	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1068	C₂×C₂²⋊C₄	C₂³×C₄₇	1	3	yes	—
1069	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1070	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1071	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1072	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1073	C₂×C₂²⋊C₄	C₂³×C₄₇	1	3	yes	—
1074	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1075	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
1076	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
1077	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
1078	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
1079	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
1080	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
1081	C₂⁴	C₂⁴×C₄₇	1	3	yes	—
1082	C₂⁴	C₂⁴×C₄₇	1	3	yes	—
1083	#41	—	2	4	no	—
1084	#41	—	2	4	no	—
1085	#41	—	2	12	no	—
1086	#41	—	2	12	no	—
1087	#41	—	2	24	no	—
1088	#41	—	2	12	no	—
1089	#41	—	2	12	no	—
1090	#41	—	2	12	no	—
1091	#41	—	4	12	no	—
1092	#41	#41×C₄₇	1	8	yes	complemented
1093	C₂×Q₈	—	2	4	no	—
1094	C₂×Q₈	—	2	4	no	—
1095	C₂×Q₈	—	2	8	no	—
1096	C₂×Q₈	—	2	12	no	—
1097	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
1098	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
1099	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
1100	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
1101	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
1102	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
1103	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
1104	C₂×D₄	—	2	12	no	—
1105	C₂×D₄	—	2	12	no	—
1106	C₂×D₄	—	4	6	no	—
1107	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1108	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1109	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1110	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1111	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1112	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
1113	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1114	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1115	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
1116	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1117	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1118	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1119	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1120	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1121	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1122	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1123	C₂²×C₄	—	2	12	no	—
1124	C₂²×C₄	—	2	12	no	—
1125	C₂²×C₄	—	4	12	no	—
1126	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1127	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1128	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1129	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1130	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1131	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1132	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1133	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1134	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1135	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1136	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1137	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1139	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1140	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1141	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1142	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1143	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1144	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1145	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1146	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1147	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1148	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1149	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
1150	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1151	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1152	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1153	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1154	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1155	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1156	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1157	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1158	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1159	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1160	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1161	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1162	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1163	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1164	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1165	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1166	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1167	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1168	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1169	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1170	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1171	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1172	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1173	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1174	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1175	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1176	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1177	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1178	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1179	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1180	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1181	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1182	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1183	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1184	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1185	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1186	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1187	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1188	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1189	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1190	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1191	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1192	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1193	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1194	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1195	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1196	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1197	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1198	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1199	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1200	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1201	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1202	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1203	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1204	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1205	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1206	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1207	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1208	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1209	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1210	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1211	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1212	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1213	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1214	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1215	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1216	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1217	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1218	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1219	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1220	C₄²	C₂⁴×C₄₇	1	6	yes	—
1221	C₄²	C₂⁴×C₄₇	1	6	yes	—
1222	C₄²	C₂⁴×C₄₇	1	6	yes	—
1223	C₄²	C₂⁴×C₄₇	1	2	yes	—
1224	C₄²	C₂⁴×C₄₇	1	1	yes	characteristic
1225	C₄²	C₂⁴×C₄₇	1	3	yes	—
1226	C₄²	C₂⁴×C₄₇	1	6	yes	—
1227	C₄²	C₂⁴×C₄₇	1	12	yes	—
1228	C₄²	C₂⁴×C₄₇	1	6	yes	—
1229	C₄²	C₂⁴×C₄₇	1	6	yes	—
1230	C₄²	C₂⁴×C₄₇	1	12	yes	—
1231	C₄²	C₂⁴×C₄₇	1	3	yes	—
1232	C₄²	C₂⁴×C₄₇	1	6	yes	—
1233	C₄²	C₂⁴×C₄₇	1	6	yes	—
1234	C₄²	C₂⁴×C₄₇	1	3	yes	—
1235	C₂³	—	2	6	no	—
1236	C₂³	—	2	6	no	—
1237	C₂³	—	2	6	no	—
1238	C₂³	—	4	3	no	—
1239	C₂³	—	4	3	no	—
1240	C₂³	—	4	3	no	—
1241	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1242	C₂³	C₂⁵×C₄₇	1	3	yes	—
1243	C₂³	C₂⁵×C₄₇	1	3	yes	—
1244	C₂³	C₂⁵×C₄₇	1	2	yes	—
1245	C₂³	C₂⁵×C₄₇	1	3	yes	—
1246	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1247	Q₈	—	2	6	no	—
1248	Q₈	—	2	12	no	—
1249	Q₈	—	2	6	no	—
1250	Q₈	—	2	6	no	—
1251	Q₈	—	4	6	no	—
1252	Q₈	—	4	6	no	—
1253	Q₈	C₂×#41×C₄₇	1	4	yes	—
1254	D₄	—	2	12	no	—
1255	D₄	—	2	12	no	—
1256	D₄	—	2	12	no	—
1257	D₄	—	2	2	no	—
1258	D₄	—	2	6	no	—
1259	D₄	—	2	4	no	—
1260	D₄	—	2	6	no	—
1261	D₄	—	2	6	no	—
1262	D₄	—	2	2	no	—
1263	D₄	—	4	3	no	—
1264	D₄	—	4	3	no	—
1265	D₄	—	4	6	no	—
1266	D₄	—	4	6	no	—
1267	D₄	—	4	2	no	—
1268	D₄	—	4	6	no	—
1269	D₄	C₂×#41×C₄₇	1	12	yes	—
1270	C₂×C₄	—	2	6	no	—
1271	C₂×C₄	—	2	6	no	—
1272	C₂×C₄	—	2	12	no	—
1273	C₂×C₄	—	2	12	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	6	no	—
1277	C₂×C₄	—	2	6	no	—
1278	C₂×C₄	—	2	6	no	—
1279	C₂×C₄	—	2	6	no	—
1280	C₂×C₄	—	2	6	no	—
1281	C₂×C₄	—	2	6	no	—
1282	C₂×C₄	—	2	12	no	—
1283	C₂×C₄	—	4	6	no	—
1284	C₂×C₄	—	4	12	no	—
1285	C₂×C₄	—	4	6	no	—
1286	C₂×C₄	—	4	2	no	—
1287	C₂×C₄	—	4	6	no	—
1288	C₂×C₄	—	4	3	no	—
1289	C₂×C₄	—	4	2	no	—
1290	C₂×C₄	—	4	6	no	—
1291	C₂×C₄	—	4	3	no	—
1292	C₂×C₄	—	4	6	no	—
1293	C₂×C₄	—	4	6	no	—
1294	C₂×C₄	C₂×#41×C₄₇	1	12	yes	—
1295	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1296	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1297	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1298	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1299	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1300	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1301	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1302	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1303	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1304	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1305	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1306	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1307	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1308	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1309	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1310	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1311	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1312	C₂²	—	2	1	no	—
1313	C₂²	—	2	3	no	—
1314	C₂²	—	2	3	no	—
1315	C₂²	—	2	1	no	—
1316	C₂²	—	2	1	no	—
1317	C₂²	—	2	2	no	—
1318	C₂²	—	2	3	no	—
1319	C₂²	—	2	3	no	—
1320	C₂²	—	2	3	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	3	no	—
1323	C₂²	—	2	1	no	—
1324	C₂²	—	2	3	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	3	no	—
1327	C₂²	—	2	1	no	—
1328	C₂²	—	4	12	no	—
1329	C₂²	—	8	6	no	—
1330	C₂²	C₂²×#41×C₄₇	1	6	yes	—
1331	C₂²	C₄₇×#585	1	2	yes	—
1332	C₂²	C₂⁶×C₄₇	1	1	yes	characteristic
1333	C₄	—	2	1	no	—
1334	C₄	—	2	1	no	—
1335	C₄	—	2	3	no	—
1336	C₄	—	2	3	no	—
1337	C₄	—	2	6	no	—
1338	C₄	—	2	6	no	—
1339	C₄	—	2	6	no	—
1340	C₄	—	2	1	no	—
1341	C₄	—	2	3	no	—
1342	C₄	—	2	2	no	—
1343	C₄	—	2	1	no	—
1344	C₄	—	2	2	no	—
1345	C₄	—	2	6	no	—
1346	C₄	—	2	3	no	—
1347	C₄	—	2	2	no	—
1348	C₄	C₂²×#41×C₄₇	1	2	yes	—
1349	C₄	C₂²×#41×C₄₇	1	6	yes	—
1350	C₂	—	2	2	no	—
1351	C₂	—	2	6	no	—
1352	C₂	—	4	3	no	—
1353	C₂	—	4	1	no	—
1354	C₂	—	4	3	no	—
1355	C₂	—	4	2	no	—
1356	C₂	C₂³×#41×C₄₇	1	1	yes	characteristic
1357	C₂	C₂×C₄₇×#585	1	1	yes	characteristic
1358	C₂	C₄₇×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₄₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₄₇×#3524	C₂	semidirect
2. C₄₇×#3523	C₂	semidirect
3. C₄₇×#3521	C₂	semidirect
4. C₄₇×#3516	C₂	semidirect
5. C₄₇×#3515	C₂	semidirect
6. C₄₇×#3513	C₂	semidirect
7. C₄₇×#3512	C₂	semidirect
8. C₄₇×#3507	C₂	semidirect
9. C₄₇×#3504	C₂	semidirect
10. C₄₇×#3495	C₂	semidirect
11. C₄₇×#3495	C₂	semidirect
12. C₄₇×#3493	C₂	semidirect
13. C₄₇×#3492	C₂	semidirect
14. C₄₇×#3489	C₂	semidirect
15. C₄₇×#3489	C₂	semidirect
16. C₄₇×#3482	C₂	semidirect
17. C₄₇×#3475	C₂	semidirect
18. C₄₇×#3475	C₂	semidirect
19. C₂×C₄₇×#552	C₂	semidirect
20. D₄×#41×C₄₇	C₂	semidirect
21. C₄×2₋¹⁺⁴×C₄₇	C₂	semidirect
22. C₄₇×#3428	C₂	semidirect
23. C₂×C₄₇×#520	C₂	semidirect
27. C₄₇×#559	C₂²	semidirect
28. C₄₇×#557	C₂²	semidirect
29. C₄₇×#557	C₂²	semidirect
30. C₄₇×#557	C₂²	semidirect
31. C₄₇×#556	C₂²	semidirect
32. C₄₇×#556	C₂²	semidirect
33. C₄₇×#556	C₂²	semidirect
34. C₄₇×#556	C₂²	semidirect
35. C₄₇×#556	C₂²	semidirect
36. C₄₇×#555	C₂²	semidirect
37. C₄₇×#555	C₂²	semidirect
38. C₄₇×#554	C₂²	semidirect
39. C₄₇×#554	C₂²	semidirect
40. C₄₇×#554	C₂²	semidirect
41. C₄₇×#554	C₂²	semidirect
42. C₄₇×#554	C₂²	semidirect
44. C₄₇×#553	C₂²	semidirect
45. C₄₇×#553	C₂²	semidirect
46. C₄₇×#553	C₂²	semidirect
47. C₄₇×#553	C₂²	semidirect
48. C₄₇×#553	C₂²	semidirect
49. C₄₇×#553	C₂²	semidirect
52. C₄₇×#552	C₂²	semidirect
53. C₄₇×#552	C₂²	semidirect
54. C₄₇×#552	C₂²	semidirect
55. C₄₇×#552	C₂²	semidirect
56. C₄₇×#552	C₂²	semidirect
57. C₄₇×#552	C₂²	semidirect
58. C₄₇×#552	C₂²	semidirect
59. C₄₇×#552	C₂²	semidirect
60. C₄₇×#552	C₂²	semidirect
61. C₄₇×#552	C₂²	semidirect
62. C₄₇×#552	C₂²	semidirect
63. C₄₇×#552	C₂²	semidirect
64. C₄₇×#552	C₂²	semidirect
65. C₄₇×#551	C₂²	semidirect
66. C₄₇×#551	C₂²	semidirect
67. C₄₇×#551	C₂²	semidirect
68. C₄₇×#551	C₂²	semidirect
71. D₄×Q₈×C₄₇	C₂²	semidirect
72. D₄×Q₈×C₄₇	C₂²	semidirect
75. C₄₇×#548	C₂²	semidirect
76. C₄₇×#548	C₂²	semidirect
78. C₄₇×#547	C₂²	semidirect
79. C₄₇×#547	C₂²	semidirect
80. C₄₇×#547	C₂²	semidirect
81. C₄₇×#547	C₂²	semidirect
85. C₄₇×#546	C₂²	semidirect
86. C₄₇×#546	C₂²	semidirect
88. C₄₇×#544	C₂²	semidirect
89. C₄₇×#544	C₂²	semidirect
90. C₄₇×#542	C₂²	semidirect
91. C₄₇×#542	C₂²	semidirect
92. C₄₇×#541	C₂²	semidirect
93. C₄₇×#541	C₂²	semidirect
94. C₄₇×#541	C₂²	semidirect
95. C₄₇×#540	C₂²	semidirect
96. C₄₇×#539	C₂²	semidirect
97. C₄₇×#539	C₂²	semidirect
98. C₄₇×#538	C₂²	semidirect
99. C₄₇×#537	C₂²	semidirect
100. C₄₇×#537	C₂²	semidirect
101. C₄₇×#536	C₂²	semidirect
102. C₄₇×#536	C₂²	semidirect
103. C₄₇×#533	C₂²	semidirect
104. C₄₇×#533	C₂²	semidirect
105. C₄₇×#533	C₂²	semidirect
108. C₄₇×#529	C₂²	semidirect
109. C₄₇×#529	C₂²	semidirect
110. C₄₇×#529	C₂²	semidirect
111. C₄₇×#529	C₂²	semidirect
112. C₄₇×#529	C₂²	semidirect
113. C₄₇×#529	C₂²	semidirect
114. C₄₇×#529	C₂²	semidirect
115. C₄₇×#529	C₂²	semidirect
116. C₂×#126×C₄₇	C₂²	semidirect
117. C₂×#125×C₄₇	C₂²	semidirect
118. C₂×#125×C₄₇	C₂²	semidirect
121. C₄₇×#525	C₂²	semidirect
122. C₄₇×#525	C₂²	semidirect
123. C₄₇×#525	C₂²	semidirect
125. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
126. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
130. C₄₇×#520	C₂²	semidirect
131. C₄₇×#520	C₂²	semidirect
132. C₄₇×#520	C₂²	semidirect
133. C₄₇×#520	C₂²	semidirect
134. C₄₇×#520	C₂²	semidirect
135. C₄₇×#520	C₂²	semidirect
136. C₄₇×#520	C₂²	semidirect
137. C₄₇×#520	C₂²	semidirect
138. C₄₇×#519	C₂²	semidirect
139. C₄₇×#519	C₂²	semidirect
140. C₄₇×#519	C₂²	semidirect
141. C₄₇×#518	C₂²	semidirect
143. C₄×#41×C₄₇	C₂²	semidirect
144. C₄×#41×C₄₇	C₂²	semidirect
145. C₄×#41×C₄₇	C₂²	semidirect
146. C₄×#41×C₄₇	C₂²	semidirect
147. C₄×#41×C₄₇	C₂²	semidirect
148. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
149. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
150. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
152. C₂×C₄×D₄×C₄₇	C₂²	semidirect
153. C₂×#117×C₄₇	C₂²	semidirect
154. C₂×#117×C₄₇	C₂²	semidirect
155. C₂×#117×C₄₇	C₂²	semidirect
156. C₂×#117×C₄₇	C₂²	semidirect
157. C₂²×C₄⋊C₄×C₄₇	C₂²	semidirect
412. #41×C₄₇	#41	semidirect
632. #62993	C₄₇	direct (N × H)
671. #3524	C₂×C₄₇	semidirect
672. #3523	C₂×C₄₇	semidirect
673. #3521	C₂×C₄₇	semidirect
674. #3516	C₂×C₄₇	semidirect
675. #3515	C₂×C₄₇	semidirect
676. #3513	C₂×C₄₇	semidirect
677. #3512	C₂×C₄₇	semidirect
678. #3507	C₂×C₄₇	semidirect
679. #3504	C₂×C₄₇	semidirect
680. #3495	C₂×C₄₇	semidirect
681. #3495	C₂×C₄₇	semidirect
682. #3493	C₂×C₄₇	semidirect
683. #3492	C₂×C₄₇	semidirect
684. #3489	C₂×C₄₇	semidirect
685. #3489	C₂×C₄₇	semidirect
686. #3482	C₂×C₄₇	semidirect
687. #3475	C₂×C₄₇	semidirect
688. #3475	C₂×C₄₇	semidirect
689. C₂×#552	C₂×C₄₇	semidirect
690. D₄×#41	C₂×C₄₇	semidirect
691. C₄×2₋¹⁺⁴	C₂×C₄₇	semidirect
692. #3428	C₂×C₄₇	semidirect
693. C₂×#520	C₂×C₄₇	semidirect
706. #559	C₂²×C₄₇	semidirect
707. #557	C₂²×C₄₇	semidirect
708. #557	C₂²×C₄₇	semidirect
709. #557	C₂²×C₄₇	semidirect
710. #556	C₂²×C₄₇	semidirect
711. #556	C₂²×C₄₇	semidirect
712. #556	C₂²×C₄₇	semidirect
713. #556	C₂²×C₄₇	semidirect
714. #556	C₂²×C₄₇	semidirect
715. #555	C₂²×C₄₇	semidirect
716. #555	C₂²×C₄₇	semidirect
717. #554	C₂²×C₄₇	semidirect
718. #554	C₂²×C₄₇	semidirect
719. #554	C₂²×C₄₇	semidirect
720. #554	C₂²×C₄₇	semidirect
721. #554	C₂²×C₄₇	semidirect
723. #553	C₂²×C₄₇	semidirect
724. #553	C₂²×C₄₇	semidirect
725. #553	C₂²×C₄₇	semidirect
726. #553	C₂²×C₄₇	semidirect
727. #553	C₂²×C₄₇	semidirect
728. #553	C₂²×C₄₇	semidirect
731. #552	C₂²×C₄₇	semidirect
732. #552	C₂²×C₄₇	semidirect
733. #552	C₂²×C₄₇	semidirect
734. #552	C₂²×C₄₇	semidirect
735. #552	C₂²×C₄₇	semidirect
736. #552	C₂²×C₄₇	semidirect
737. #552	C₂²×C₄₇	semidirect
738. #552	C₂²×C₄₇	semidirect
739. #552	C₂²×C₄₇	semidirect
740. #552	C₂²×C₄₇	semidirect
741. #552	C₂²×C₄₇	semidirect
742. #552	C₂²×C₄₇	semidirect
743. #552	C₂²×C₄₇	semidirect
744. #551	C₂²×C₄₇	semidirect
745. #551	C₂²×C₄₇	semidirect
746. #551	C₂²×C₄₇	semidirect
747. #551	C₂²×C₄₇	semidirect
750. D₄×Q₈	C₂²×C₄₇	semidirect
751. D₄×Q₈	C₂²×C₄₇	semidirect
754. #548	C₂²×C₄₇	semidirect
755. #548	C₂²×C₄₇	semidirect
757. #547	C₂²×C₄₇	semidirect
758. #547	C₂²×C₄₇	semidirect
759. #547	C₂²×C₄₇	semidirect
760. #547	C₂²×C₄₇	semidirect
764. #546	C₂²×C₄₇	semidirect
765. #546	C₂²×C₄₇	semidirect
767. #544	C₂²×C₄₇	semidirect
768. #544	C₂²×C₄₇	semidirect
769. #542	C₂²×C₄₇	semidirect
770. #542	C₂²×C₄₇	semidirect
771. #541	C₂²×C₄₇	semidirect
772. #541	C₂²×C₄₇	semidirect
773. #541	C₂²×C₄₇	semidirect
774. #540	C₂²×C₄₇	semidirect
775. #539	C₂²×C₄₇	semidirect
776. #539	C₂²×C₄₇	semidirect
777. #538	C₂²×C₄₇	semidirect
778. #537	C₂²×C₄₇	semidirect
779. #537	C₂²×C₄₇	semidirect
780. #536	C₂²×C₄₇	semidirect
781. #536	C₂²×C₄₇	semidirect
782. #533	C₂²×C₄₇	semidirect
783. #533	C₂²×C₄₇	semidirect
784. #533	C₂²×C₄₇	semidirect
787. #529	C₂²×C₄₇	semidirect
788. #529	C₂²×C₄₇	semidirect
789. #529	C₂²×C₄₇	semidirect
790. #529	C₂²×C₄₇	semidirect
791. #529	C₂²×C₄₇	semidirect
792. #529	C₂²×C₄₇	semidirect
793. #529	C₂²×C₄₇	semidirect
794. #529	C₂²×C₄₇	semidirect
795. C₂×#126	C₂²×C₄₇	semidirect
796. C₂×#125	C₂²×C₄₇	semidirect
797. C₂×#125	C₂²×C₄₇	semidirect
800. #525	C₂²×C₄₇	semidirect
801. #525	C₂²×C₄₇	semidirect
802. #525	C₂²×C₄₇	semidirect
804. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
805. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
809. #520	C₂²×C₄₇	semidirect
810. #520	C₂²×C₄₇	semidirect
811. #520	C₂²×C₄₇	semidirect
812. #520	C₂²×C₄₇	semidirect
813. #520	C₂²×C₄₇	semidirect
814. #520	C₂²×C₄₇	semidirect
815. #520	C₂²×C₄₇	semidirect
816. #520	C₂²×C₄₇	semidirect
817. #519	C₂²×C₄₇	semidirect
818. #519	C₂²×C₄₇	semidirect
819. #519	C₂²×C₄₇	semidirect
820. #518	C₂²×C₄₇	semidirect
822. C₄×#41	C₂²×C₄₇	semidirect
823. C₄×#41	C₂²×C₄₇	semidirect
824. C₄×#41	C₂²×C₄₇	semidirect
825. C₄×#41	C₂²×C₄₇	semidirect
826. C₄×#41	C₂²×C₄₇	semidirect
827. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
828. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
829. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
831. C₂×C₄×D₄	C₂²×C₄₇	semidirect
832. C₂×#117	C₂²×C₄₇	semidirect
833. C₂×#117	C₂²×C₄₇	semidirect
834. C₂×#117	C₂²×C₄₇	semidirect
835. C₂×#117	C₂²×C₄₇	semidirect
836. C₂²×C₄⋊C₄	C₂²×C₄₇	semidirect
837. C₄₇	#62993	direct (N × H)
1092. #41	#41×C₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₄₇×#3524	2
C₄₇×#3523	2
C₄₇×#3521	2
C₄₇×#3516	2
C₄₇×#3515	2
C₄₇×#3513	2
C₄₇×#3512	2
C₄₇×#3507	2
C₄₇×#3504	2
C₄₇×#3495	2
C₄₇×#3493	2
C₄₇×#3492	2
C₄₇×#3489	2
C₄₇×#3482	2
C₄₇×#3475	2
C₂×C₄₇×#552	2
D₄×#41×C₄₇	2
C₄×2₋¹⁺⁴×C₄₇	2
C₄₇×#3428	2
C₂×C₄₇×#520	2
#62993	47

Subgroups — C47×#62993 #26102691

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#62993 #26102691