Subgroups — C₄₇×#63015 #26102713

Order 12032.

7166 conjugacy classes of subgroups.

The subgroup lattice has 1374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3561	C₂	1	6	yes	maximal, complemented
2	C₄₇×#3554	C₂	1	3	yes	maximal, complemented
3	C₄₇×#3552	C₂	1	3	yes	maximal, complemented
4	C₄₇×#3547	C₂	1	3	yes	maximal, complemented
5	C₄₇×#3541	C₂	1	6	yes	maximal, complemented
6	C₄₇×#3536	C₂	1	6	yes	maximal, complemented
7	C₄₇×#3522	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄₇×#3520	C₂	1	6	yes	maximal, complemented
9	C₄₇×#3519	C₂	1	3	yes	maximal, complemented
10	C₄₇×#3518	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3516	C₂	1	2	yes	maximal, complemented
12	C₄₇×#3514	C₂	1	3	yes	maximal, complemented
13	C₄₇×#3511	C₂	1	3	yes	maximal, complemented
14	C₄₇×#3501	C₂	1	3	yes	maximal, complemented
15	C₄₇×#3497	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₇×#3489	C₂	1	2	yes	maximal, complemented
17	C₄₇×#3486	C₂	1	2	yes	maximal, complemented
18	C₄₇×#3482	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₇×#3481	C₂	1	3	yes	maximal, complemented
20	Q₈×#41×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×#41×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₄×Q₈×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#548	C₂	1	2	yes	maximal, complemented
24	C₂×2₋¹⁺⁴×C₄₇	C₂²	1	2	yes	complemented
25	C₂²×#41×C₄₇	C₂²	1	2	yes	complemented
26	C₂³×Q₈×C₄₇	C₂²	1	2	yes	complemented
27	C₄₇×#563	C₂²	1	12	yes	complemented
28	C₄₇×#562	C₂²	1	12	yes	complemented
29	C₄₇×#562	C₂²	1	12	yes	complemented
30	C₄₇×#559	C₂²	1	3	yes	complemented
31	C₄₇×#559	C₂²	1	3	yes	complemented
32	Q₈²×C₄₇	C₂²	1	1	yes	characteristic, complemented
33	C₄₇×#557	C₂²	1	3	yes	complemented
34	C₄₇×#557	C₂²	1	1	yes	characteristic, complemented
35	C₄₇×#556	C₂²	1	3	yes	complemented
36	C₄₇×#556	C₂²	1	3	yes	complemented
37	C₄₇×#556	C₂²	1	6	yes	complemented
38	C₄₇×#556	C₂²	1	6	yes	complemented
39	C₄₇×#555	C₂²	1	6	yes	complemented
40	C₄₇×#555	C₂²	1	3	yes	complemented
41	C₄₇×#554	C₂²	1	3	yes	—
42	C₄₇×#554	C₂²	1	3	yes	—
43	C₄₇×#554	C₂²	1	3	yes	complemented
44	C₄₇×#554	C₂²	1	3	yes	complemented
45	C₄₇×#554	C₂²	1	6	yes	complemented
46	C₄₇×#554	C₂²	1	6	yes	complemented
47	C₄₇×#554	C₂²	1	6	yes	complemented
48	C₄₇×#554	C₂²	1	12	yes	complemented
49	C₄₇×#553	C₂²	1	3	yes	complemented
50	C₄₇×#553	C₂²	1	6	yes	complemented
51	C₄₇×#553	C₂²	1	3	yes	complemented
52	C₄₇×#553	C₂²	1	6	yes	complemented
53	C₄₇×#553	C₂²	1	6	yes	complemented
54	C₄₇×#552	C₂²	1	6	yes	complemented
55	C₄₇×#552	C₂²	1	3	yes	complemented
56	C₄₇×#552	C₂²	1	3	yes	complemented
57	C₄₇×#551	C₂²	1	6	yes	complemented
58	C₄₇×#551	C₂²	1	12	yes	complemented
59	C₄₇×#551	C₂²	1	6	yes	complemented
60	C₄₇×#550	C₂²	1	3	yes	complemented
61	C₄₇×#550	C₂²	1	1	yes	characteristic, complemented
62	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic
63	D₄×Q₈×C₄₇	C₂²	1	3	yes	—
64	D₄×Q₈×C₄₇	C₂²	1	3	yes	complemented
65	D₄×Q₈×C₄₇	C₂²	1	6	yes	complemented
66	D₄×Q₈×C₄₇	C₂²	1	3	yes	complemented
67	D₄×Q₈×C₄₇	C₂²	1	6	yes	complemented
68	D₄×Q₈×C₄₇	C₂²	1	6	yes	complemented
69	D₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
70	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
71	D₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
72	D₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
73	C₄₇×#548	C₂²	1	1	yes	characteristic
74	C₄₇×#548	C₂²	1	6	yes	complemented
75	C₄₇×#548	C₂²	1	6	yes	complemented
76	C₄₇×#548	C₂²	1	6	yes	complemented
77	C₄₇×#548	C₂²	1	6	yes	complemented
78	C₄₇×#548	C₂²	1	2	yes	complemented
79	C₄₇×#548	C₂²	1	2	yes	complemented
80	C₄₇×#548	C₂²	1	2	yes	complemented
81	C₄₇×#548	C₂²	1	6	yes	complemented
82	C₄₇×#548	C₂²	1	2	yes	complemented
83	C₄₇×#548	C₂²	1	1	yes	characteristic, complemented
84	C₄₇×#548	C₂²	1	6	yes	complemented
85	C₄₇×#548	C₂²	1	6	yes	complemented
86	C₄₇×#547	C₂²	1	3	yes	complemented
87	C₄₇×#547	C₂²	1	6	yes	complemented
88	C₄₇×#547	C₂²	1	3	yes	complemented
89	C₄₇×#547	C₂²	1	6	yes	complemented
90	C₄₇×#547	C₂²	1	6	yes	complemented
91	C₄₇×#546	C₂²	1	1	yes	characteristic
92	C₄₇×#546	C₂²	1	3	yes	—
93	C₄₇×#546	C₂²	1	6	yes	complemented
94	C₄₇×#546	C₂²	1	6	yes	complemented
95	C₄₇×#546	C₂²	1	6	yes	complemented
96	C₄₇×#546	C₂²	1	6	yes	complemented
97	C₄₇×#546	C₂²	1	12	yes	complemented
98	D₄²×C₄₇	C₂²	1	3	yes	—
99	D₄²×C₄₇	C₂²	1	3	yes	—
100	C₄₇×#544	C₂²	1	6	yes	complemented
101	C₄₇×#543	C₂²	1	12	yes	complemented
102	C₄₇×#542	C₂²	1	12	yes	complemented
103	C₄₇×#542	C₂²	1	6	yes	complemented
104	C₄₇×#542	C₂²	1	6	yes	complemented
105	C₄₇×#542	C₂²	1	6	yes	complemented
106	C₄₇×#542	C₂²	1	6	yes	complemented
107	C₄₇×#542	C₂²	1	6	yes	complemented
108	C₄₇×#542	C₂²	1	6	yes	complemented
109	C₄₇×#541	C₂²	1	6	yes	complemented
110	C₄₇×#540	C₂²	1	6	yes	complemented
111	C₄₇×#539	C₂²	1	12	yes	complemented
112	C₄₇×#539	C₂²	1	12	yes	complemented
113	C₄₇×#538	C₂²	1	12	yes	complemented
114	C₄₇×#538	C₂²	1	12	yes	complemented
115	C₄₇×#537	C₂²	1	6	yes	complemented
116	C₄₇×#537	C₂²	1	6	yes	complemented
117	C₄₇×#537	C₂²	1	6	yes	complemented
118	C₄₇×#536	C₂²	1	6	yes	complemented
119	C₄₇×#536	C₂²	1	6	yes	complemented
120	C₄₇×#536	C₂²	1	6	yes	complemented
121	C₄₇×#533	C₂²	1	3	yes	complemented
122	C₄₇×#533	C₂²	1	3	yes	complemented
123	C₄₇×#533	C₂²	1	6	yes	complemented
124	C₄₇×#533	C₂²	1	3	yes	complemented
125	C₄₇×#532	C₂²	1	3	yes	complemented
126	C₄₇×#532	C₂²	1	3	yes	complemented
127	C₄₇×#532	C₂²	1	3	yes	complemented
128	C₄₇×#532	C₂²	1	3	yes	complemented
129	C₂×C₄⋊Q₈×C₄₇	C₂²	1	3	yes	complemented
130	C₄₇×#529	C₂²	1	3	yes	complemented
131	C₄₇×#529	C₂²	1	3	yes	complemented
132	C₄₇×#529	C₂²	1	3	yes	complemented
133	C₄₇×#529	C₂²	1	3	yes	complemented
134	C₄₇×#529	C₂²	1	6	yes	complemented
135	C₄₇×#529	C₂²	1	6	yes	complemented
136	C₂×#124×C₄₇	C₂²	1	6	yes	complemented
137	C₄₇×#525	C₂²	1	6	yes	complemented
138	C₄₇×#525	C₂²	1	6	yes	complemented
139	C₄₇×#525	C₂²	1	6	yes	complemented
140	C₄₇×#525	C₂²	1	6	yes	complemented
141	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	6	yes	complemented
142	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	6	yes	complemented
143	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	6	yes	complemented
144	C₂×#121×C₄₇	C₂²	1	6	yes	complemented
145	C₄₇×#520	C₂²	1	2	yes	complemented
146	C₄₇×#520	C₂²	1	6	yes	complemented
147	C₄₇×#519	C₂²	1	2	yes	complemented
148	C₄₇×#518	C₂²	1	6	yes	—
149	C₄×#41×C₄₇	C₂²	1	3	yes	—
150	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
151	C₄×#41×C₄₇	C₂²	1	3	yes	complemented
152	C₂×C₄×Q₈×C₄₇	C₂²	1	2	yes	complemented
153	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
154	C₂×C₄×Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
155	C₂×C₄×D₄×C₄₇	C₂²	1	3	yes	—
156	C₂×C₄×D₄×C₄₇	C₂²	1	3	yes	—
157	C₂×C₄×D₄×C₄₇	C₂²	1	6	yes	complemented
158	2₋¹⁺⁴×C₄₇	—	4	8	no	—
159	C₂×#41×C₄₇	—	4	8	no	—
160	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
161	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
162	C₂×#41×C₄₇	C₂³	1	2	yes	—
163	C₂×#41×C₄₇	C₂³	1	3	yes	—
164	C₂×#41×C₄₇	C₂³	1	6	yes	—
165	C₂×#41×C₄₇	C₂³	1	6	yes	—
166	C₂×#41×C₄₇	C₂³	1	6	yes	—
167	C₂×#41×C₄₇	C₂³	1	6	yes	—
168	C₂×#41×C₄₇	C₂³	1	6	yes	—
169	C₂×#41×C₄₇	C₂³	1	6	yes	—
170	C₂²×Q₈×C₄₇	—	4	8	no	—
171	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
172	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
173	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
174	C₂²×Q₈×C₄₇	C₂³	1	2	yes	—
175	C₂²×Q₈×C₄₇	C₂³	1	6	yes	—
176	C₂²×Q₈×C₄₇	C₂³	1	6	yes	—
177	C₂²×Q₈×C₄₇	C₂³	1	6	yes	—
178	C₂²×Q₈×C₄₇	C₂³	1	6	yes	—
179	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
180	C₂²×D₄×C₄₇	C₂³	1	3	yes	—
181	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
182	C₂²×D₄×C₄₇	C₂³	1	6	yes	—
183	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
184	C₂³×C₄×C₄₇	C₂³	1	6	yes	—
185	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
186	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
187	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
188	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
189	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
190	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
191	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
192	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
193	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
194	C₄⋊Q₈×C₄₇	C₂³	1	3	yes	—
195	C₄⋊Q₈×C₄₇	C₂³	1	6	yes	—
196	C₄⋊Q₈×C₄₇	C₂³	1	12	yes	—
197	#127×C₄₇	C₂³	1	3	yes	—
198	#127×C₄₇	C₂³	1	3	yes	—
199	#126×C₄₇	C₂³	1	6	yes	—
200	#126×C₄₇	C₂³	1	12	yes	—
201	#126×C₄₇	C₂³	1	6	yes	—
202	#126×C₄₇	C₂³	1	6	yes	—
203	#126×C₄₇	C₂³	1	6	yes	—
204	#126×C₄₇	C₂³	1	6	yes	—
205	#126×C₄₇	C₂³	1	6	yes	—
206	#126×C₄₇	C₂³	1	12	yes	—
207	#126×C₄₇	C₂³	1	12	yes	—
208	#125×C₄₇	C₂³	1	3	yes	—
209	#125×C₄₇	C₂³	1	3	yes	—
210	#125×C₄₇	C₂³	1	3	yes	—
211	#125×C₄₇	C₂³	1	6	yes	—
212	#125×C₄₇	C₂³	1	3	yes	—
213	#125×C₄₇	C₂³	1	6	yes	—
214	#125×C₄₇	C₂³	1	12	yes	—
215	#125×C₄₇	C₂³	1	6	yes	—
216	#125×C₄₇	C₂³	1	12	yes	—
217	#124×C₄₇	C₂³	1	3	yes	—
218	#124×C₄₇	C₂³	1	6	yes	—
219	#124×C₄₇	C₂³	1	6	yes	—
220	#124×C₄₇	C₂³	1	6	yes	—
221	#124×C₄₇	C₂³	1	12	yes	—
222	#124×C₄₇	C₂³	1	12	yes	—
223	#124×C₄₇	C₂³	1	1	yes	characteristic
224	#124×C₄₇	C₂³	1	3	yes	—
225	#124×C₄₇	C₂³	1	3	yes	—
226	#124×C₄₇	C₂³	1	6	yes	—
227	#124×C₄₇	C₂³	1	6	yes	—
228	#124×C₄₇	C₂³	1	6	yes	—
229	#124×C₄₇	C₂³	1	6	yes	—
230	#124×C₄₇	C₂³	1	12	yes	—
231	#124×C₄₇	C₂³	1	12	yes	—
232	#123×C₄₇	C₂³	1	12	yes	—
233	#123×C₄₇	C₂³	1	6	yes	—
234	#123×C₄₇	C₂³	1	6	yes	—
235	#123×C₄₇	C₂³	1	6	yes	—
236	#123×C₄₇	C₂³	1	12	yes	—
237	#123×C₄₇	C₂³	1	6	yes	—
238	#123×C₄₇	C₂³	1	6	yes	—
239	#123×C₄₇	C₂³	1	2	yes	—
240	#123×C₄₇	C₂³	1	6	yes	—
241	#123×C₄₇	C₂³	1	6	yes	—
242	#123×C₄₇	C₂³	1	6	yes	—
243	#123×C₄₇	C₂³	1	6	yes	—
244	#123×C₄₇	C₂³	1	12	yes	—
245	#123×C₄₇	C₂³	1	12	yes	—
246	#123×C₄₇	C₂³	1	12	yes	—
247	#123×C₄₇	C₂³	1	12	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	6	yes	—
252	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
253	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
254	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
255	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
256	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
257	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
258	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
259	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
260	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
261	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
262	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
263	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
264	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
265	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
266	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
267	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
268	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
269	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
270	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
271	C₂²⋊Q₈×C₄₇	C₂³	1	3	yes	—
272	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
273	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
274	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
275	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
276	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
277	C₂²⋊Q₈×C₄₇	C₂³	1	6	yes	—
278	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
279	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
280	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
281	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
282	C₂²⋊Q₈×C₄₇	C₂³	1	12	yes	—
283	#121×C₄₇	C₂³	1	3	yes	—
284	#121×C₄₇	C₂³	1	6	yes	—
285	#121×C₄₇	C₂³	1	12	yes	—
286	#121×C₄₇	C₂³	1	6	yes	—
287	#121×C₄₇	C₂³	1	6	yes	—
288	#121×C₄₇	C₂³	1	12	yes	—
289	#121×C₄₇	C₂³	1	2	yes	—
290	#121×C₄₇	C₂³	1	6	yes	—
291	#121×C₄₇	C₂³	1	6	yes	—
292	#121×C₄₇	C₂³	1	6	yes	—
293	#121×C₄₇	C₂³	1	6	yes	—
294	#121×C₄₇	C₂³	1	6	yes	—
295	#121×C₄₇	C₂³	1	3	yes	—
296	#121×C₄₇	C₂³	1	3	yes	—
297	#121×C₄₇	C₂³	1	6	yes	—
298	#121×C₄₇	C₂³	1	3	yes	—
299	#121×C₄₇	C₂³	1	1	yes	characteristic
300	#121×C₄₇	C₂³	1	3	yes	—
301	#121×C₄₇	C₂³	1	6	yes	—
302	#121×C₄₇	C₂³	1	6	yes	—
303	#121×C₄₇	C₂³	1	6	yes	—
304	#121×C₄₇	C₂³	1	6	yes	—
305	#121×C₄₇	C₂³	1	12	yes	—
306	#121×C₄₇	C₂³	1	12	yes	—
307	#121×C₄₇	C₂³	1	12	yes	—
308	#120×C₄₇	C₂³	1	6	yes	—
309	#120×C₄₇	C₂³	1	2	yes	—
310	#120×C₄₇	C₂³	1	6	yes	—
311	#120×C₄₇	C₂³	1	12	yes	—
312	#120×C₄₇	C₂³	1	6	yes	—
313	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
314	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
315	C₄×Q₈×C₄₇	C₂³	1	2	yes	—
316	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
317	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
318	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
319	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
320	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
321	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
322	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
323	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
324	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
325	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
327	C₄×Q₈×C₄₇	C₂³	1	3	yes	—
328	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
329	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
330	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
331	C₄×Q₈×C₄₇	C₂³	1	6	yes	—
332	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
333	C₄×D₄×C₄₇	C₂³	1	3	yes	—
334	C₄×D₄×C₄₇	C₂³	1	3	yes	—
335	C₄×D₄×C₄₇	C₂³	1	6	yes	—
336	C₄×D₄×C₄₇	C₂³	1	6	yes	—
337	C₄×D₄×C₄₇	C₂³	1	6	yes	—
338	C₄×D₄×C₄₇	C₂³	1	3	yes	—
339	C₄×D₄×C₄₇	C₂³	1	3	yes	—
340	C₄×D₄×C₄₇	C₂³	1	3	yes	—
341	C₄×D₄×C₄₇	C₂³	1	6	yes	—
342	C₄×D₄×C₄₇	C₂³	1	3	yes	—
343	C₄×D₄×C₄₇	C₂³	1	3	yes	—
344	C₄×D₄×C₄₇	C₂³	1	6	yes	—
345	C₄×D₄×C₄₇	C₂³	1	6	yes	—
346	C₄×D₄×C₄₇	C₂³	1	6	yes	—
347	C₄×D₄×C₄₇	C₂³	1	6	yes	—
348	C₄×D₄×C₄₇	C₂³	1	6	yes	—
349	C₄×D₄×C₄₇	C₂³	1	6	yes	—
350	C₄×D₄×C₄₇	C₂³	1	6	yes	—
351	C₄×D₄×C₄₇	C₂³	1	3	yes	—
352	C₄×D₄×C₄₇	C₂³	1	6	yes	—
353	C₄×D₄×C₄₇	C₂³	1	6	yes	—
354	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
355	C₄×D₄×C₄₇	C₂³	1	3	yes	—
356	C₄×D₄×C₄₇	C₂³	1	3	yes	—
357	C₄×D₄×C₄₇	C₂³	1	3	yes	—
358	C₄×D₄×C₄₇	C₂³	1	3	yes	—
359	C₄×D₄×C₄₇	C₂³	1	3	yes	—
360	C₄×D₄×C₄₇	C₂³	1	3	yes	—
361	C₄×D₄×C₄₇	C₂³	1	12	yes	—
362	C₄×D₄×C₄₇	C₂³	1	12	yes	—
363	C₄×D₄×C₄₇	C₂³	1	6	yes	—
364	C₄×D₄×C₄₇	C₂³	1	6	yes	—
365	C₄×D₄×C₄₇	C₂³	1	6	yes	—
366	C₄×D₄×C₄₇	C₂³	1	12	yes	—
367	C₄×D₄×C₄₇	C₂³	1	6	yes	—
368	C₄×D₄×C₄₇	C₂³	1	6	yes	—
369	C₄×D₄×C₄₇	C₂³	1	6	yes	—
370	#117×C₄₇	C₂³	1	6	yes	—
371	#117×C₄₇	C₂³	1	3	yes	—
372	#117×C₄₇	C₂³	1	3	yes	—
373	#117×C₄₇	C₂³	1	3	yes	—
374	#117×C₄₇	C₂³	1	3	yes	—
375	#117×C₄₇	C₂³	1	3	yes	—
376	#117×C₄₇	C₂³	1	6	yes	—
377	#117×C₄₇	C₂³	1	6	yes	—
378	#117×C₄₇	C₂³	1	6	yes	—
379	#117×C₄₇	C₂³	1	6	yes	—
380	#117×C₄₇	C₂³	1	6	yes	—
381	#117×C₄₇	C₂³	1	12	yes	—
382	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	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	3	yes	—
387	C₂×C₄⋊C₄×C₄₇	C₂³	1	3	yes	—
388	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
389	C₂×C₄⋊C₄×C₄₇	C₂³	1	6	yes	—
390	C₂×C₄⋊C₄×C₄₇	C₂³	1	12	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	2	yes	—
394	C₂×C₂²⋊C₄×C₄₇	C₂³	1	6	yes	—
395	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
396	C₂×C₂²⋊C₄×C₄₇	C₂³	1	12	yes	—
397	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
398	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
399	C₂×C₄²×C₄₇	C₂³	1	6	yes	—
400	C₂×C₄²×C₄₇	C₂³	1	3	yes	—
401	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
402	C₂⁴×C₄₇	C₂⁴	1	6	yes	—
403	#41×C₄₇	—	2	4	no	—
404	#41×C₄₇	—	2	8	no	—
405	#41×C₄₇	—	2	4	no	—
406	#41×C₄₇	—	4	12	no	—
407	#41×C₄₇	—	4	6	no	—
408	#41×C₄₇	—	4	12	no	—
409	#41×C₄₇	—	4	12	no	—
410	#41×C₄₇	—	4	12	no	—
411	#41×C₄₇	—	4	12	no	—
412	#41×C₄₇	—	4	12	no	—
413	C₂×Q₈×C₄₇	—	2	4	no	—
414	C₂×Q₈×C₄₇	—	2	8	no	—
415	C₂×Q₈×C₄₇	—	2	8	no	—
416	C₂×Q₈×C₄₇	—	2	4	no	—
417	C₂×Q₈×C₄₇	—	4	12	no	—
418	C₂×Q₈×C₄₇	—	4	12	no	—
419	C₂×Q₈×C₄₇	—	4	12	no	—
420	C₂×Q₈×C₄₇	—	4	12	no	—
421	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
422	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
423	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
424	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
425	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
426	C₂×Q₈×C₄₇	C₂⁴	1	3	yes	—
427	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
428	C₂×Q₈×C₄₇	C₂⁴	1	6	yes	—
429	C₂×Q₈×C₄₇	C₂⁴	1	12	yes	—
430	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
431	C₂×D₄×C₄₇	—	2	4	no	—
432	C₂×D₄×C₄₇	—	2	12	no	—
433	C₂×D₄×C₄₇	—	4	12	no	—
434	C₂×D₄×C₄₇	—	4	12	no	—
435	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
436	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
437	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
438	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
439	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
440	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
441	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
442	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
443	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
444	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
445	C₂×D₄×C₄₇	C₂⁴	1	3	yes	—
446	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
447	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
448	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
449	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
450	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
451	C₂×D₄×C₄₇	C₂⁴	1	6	yes	—
452	C₂×D₄×C₄₇	C₂⁴	1	12	yes	—
453	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₄₇	—	4	12	no	—
455	C₂²×C₄×C₄₇	—	4	12	no	—
456	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
457	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
460	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
461	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
462	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
463	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
464	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
465	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
466	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
467	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
468	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
469	C₂²×C₄×C₄₇	C₂⁴	1	3	yes	—
470	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
471	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
472	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
473	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
474	C₂²×C₄×C₄₇	C₂⁴	1	12	yes	—
475	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
476	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
477	C₂²×C₄×C₄₇	C₂⁴	1	6	yes	—
478	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
479	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
480	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
481	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
482	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
483	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
484	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
485	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
486	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
487	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
488	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
489	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
490	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
491	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
492	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
493	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
494	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
495	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
496	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
497	C₄⋊C₄×C₄₇	C₂⁴	1	12	yes	—
498	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
499	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
500	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
501	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
502	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
503	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
504	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
505	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
506	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
507	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
508	C₄⋊C₄×C₄₇	C₂⁴	1	3	yes	—
509	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
510	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
511	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
512	C₄⋊C₄×C₄₇	C₂⁴	1	6	yes	—
513	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
514	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
515	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
516	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
517	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
518	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
519	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
520	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
521	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
522	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
523	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
524	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
525	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
526	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
527	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
528	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
529	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
530	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
531	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
532	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
533	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
534	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
535	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
536	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
537	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
538	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
539	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
540	C₂²⋊C₄×C₄₇	C₂⁴	1	12	yes	—
541	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
542	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
543	C₂²⋊C₄×C₄₇	C₂⁴	1	6	yes	—
544	C₂²⋊C₄×C₄₇	C₂⁴	1	3	yes	—
545	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
546	C₄²×C₄₇	C₂⁴	1	3	yes	—
547	C₄²×C₄₇	C₂⁴	1	3	yes	—
548	C₄²×C₄₇	C₂⁴	1	3	yes	—
549	C₄²×C₄₇	C₂⁴	1	6	yes	—
550	C₄²×C₄₇	C₂⁴	1	3	yes	—
551	C₄²×C₄₇	C₂⁴	1	3	yes	—
552	C₄²×C₄₇	C₂⁴	1	3	yes	—
553	C₄²×C₄₇	C₂⁴	1	6	yes	—
554	C₄²×C₄₇	C₂⁴	1	3	yes	—
555	C₄²×C₄₇	C₂⁴	1	3	yes	—
556	C₄²×C₄₇	C₂⁴	1	3	yes	—
557	C₄²×C₄₇	C₂⁴	1	6	yes	—
558	C₄²×C₄₇	C₂⁴	1	12	yes	—
559	C₂³×C₄₇	—	2	4	no	—
560	C₂³×C₄₇	—	2	4	no	—
561	C₂³×C₄₇	—	2	12	no	—
562	C₂³×C₄₇	—	4	2	no	—
563	C₂³×C₄₇	—	4	6	no	—
564	C₂³×C₄₇	—	4	6	no	—
565	C₂³×C₄₇	C₂⁵	1	3	yes	—
566	C₂³×C₄₇	C₂⁵	1	2	yes	—
567	C₂³×C₄₇	C₂⁵	1	6	yes	—
568	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
569	C₂³×C₄₇	C₂⁵	1	2	yes	—
570	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
571	Q₈×C₄₇	—	2	6	no	—
572	Q₈×C₄₇	—	2	12	no	—
573	Q₈×C₄₇	—	2	12	no	—
574	Q₈×C₄₇	—	2	6	no	—
575	Q₈×C₄₇	—	2	2	no	—
576	Q₈×C₄₇	—	4	12	no	—
577	Q₈×C₄₇	—	4	6	no	—
578	Q₈×C₄₇	—	4	3	no	—
579	Q₈×C₄₇	—	4	6	no	—
580	Q₈×C₄₇	H(5,𝔽₂)	1	4	yes	—
581	D₄×C₄₇	—	2	4	no	—
582	D₄×C₄₇	—	2	12	no	—
583	D₄×C₄₇	—	2	4	no	—
584	D₄×C₄₇	—	2	6	no	—
585	D₄×C₄₇	—	2	12	no	—
586	D₄×C₄₇	—	2	2	no	—
587	D₄×C₄₇	—	2	6	no	—
588	D₄×C₄₇	—	2	12	no	—
589	D₄×C₄₇	—	2	2	no	—
590	D₄×C₄₇	—	2	6	no	—
591	D₄×C₄₇	—	4	6	no	—
592	D₄×C₄₇	—	4	6	no	—
593	D₄×C₄₇	—	4	12	no	—
594	D₄×C₄₇	—	4	3	no	—
595	D₄×C₄₇	—	4	6	no	—
596	D₄×C₄₇	—	4	2	no	—
597	D₄×C₄₇	—	4	6	no	—
598	D₄×C₄₇	—	4	6	no	—
599	D₄×C₄₇	2₋¹⁺⁴	1	4	yes	complemented
600	C₂×C₄×C₄₇	—	2	4	no	—
601	C₂×C₄×C₄₇	—	2	6	no	—
602	C₂×C₄×C₄₇	—	2	12	no	—
603	C₂×C₄×C₄₇	—	2	6	no	—
604	C₂×C₄×C₄₇	—	2	6	no	—
605	C₂×C₄×C₄₇	—	2	12	no	—
606	C₂×C₄×C₄₇	—	2	12	no	—
607	C₂×C₄×C₄₇	—	2	6	no	—
608	C₂×C₄×C₄₇	—	2	2	no	—
609	C₂×C₄×C₄₇	—	2	6	no	—
610	C₂×C₄×C₄₇	—	2	2	no	—
611	C₂×C₄×C₄₇	—	4	2	no	—
612	C₂×C₄×C₄₇	—	4	6	no	—
613	C₂×C₄×C₄₇	—	4	6	no	—
614	C₂×C₄×C₄₇	—	4	6	no	—
615	C₂×C₄×C₄₇	—	4	6	no	—
616	C₂×C₄×C₄₇	—	4	6	no	—
617	C₂×C₄×C₄₇	—	4	6	no	—
618	C₂×C₄×C₄₇	—	4	12	no	—
619	C₂×C₄×C₄₇	—	4	12	no	—
620	C₂×C₄×C₄₇	—	4	3	no	—
621	C₂×C₄×C₄₇	—	4	3	no	—
622	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
623	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
624	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
625	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
626	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
627	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
628	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
629	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
630	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
631	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
632	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
633	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
634	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
635	C₂×C₄×C₄₇	C₂⁵	1	6	yes	—
636	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
637	C₂×C₄×C₄₇	C₂⁵	1	3	yes	—
638	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
639	#63015	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
640	C₂²×C₄₇	—	2	1	no	—
641	C₂²×C₄₇	—	2	2	no	—
642	C₂²×C₄₇	—	2	1	no	—
643	C₂²×C₄₇	—	2	2	no	—
644	C₂²×C₄₇	—	2	2	no	—
645	C₂²×C₄₇	—	2	1	no	—
646	C₂²×C₄₇	—	2	6	no	—
647	C₂²×C₄₇	—	2	3	no	—
648	C₂²×C₄₇	—	2	1	no	—
649	C₂²×C₄₇	—	2	3	no	—
650	C₂²×C₄₇	—	2	2	no	—
651	C₂²×C₄₇	—	2	6	no	—
652	C₂²×C₄₇	—	2	1	no	—
653	C₂²×C₄₇	—	2	6	no	—
654	C₂²×C₄₇	—	2	3	no	—
655	C₂²×C₄₇	—	2	2	no	—
656	C₂²×C₄₇	—	4	8	no	—
657	C₂²×C₄₇	—	8	12	no	—
658	C₂²×C₄₇	C₂×2₋¹⁺⁴	1	4	yes	—
659	C₂²×C₄₇	#585	1	2	yes	—
660	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
661	C₄×C₄₇	—	2	1	no	—
662	C₄×C₄₇	—	2	2	no	—
663	C₄×C₄₇	—	2	6	no	—
664	C₄×C₄₇	—	2	3	no	—
665	C₄×C₄₇	—	2	6	no	—
666	C₄×C₄₇	—	2	3	no	—
667	C₄×C₄₇	—	2	1	no	—
668	C₄×C₄₇	—	2	1	no	—
669	C₄×C₄₇	—	2	3	no	—
670	C₄×C₄₇	—	2	2	no	—
671	C₄×C₄₇	—	2	3	no	—
672	C₄×C₄₇	—	2	3	no	—
673	C₄×C₄₇	—	2	3	no	—
674	C₄×C₄₇	—	2	6	no	—
675	C₄×C₄₇	—	2	1	no	—
676	C₄×C₄₇	C₂×H(5,𝔽₂)	1	6	yes	—
677	C₄×C₄₇	C₂×2₋¹⁺⁴	1	2	yes	—
678	#3561	C₂×C₄₇	1	6	yes	complemented
679	#3554	C₂×C₄₇	1	3	yes	complemented
680	#3552	C₂×C₄₇	1	3	yes	complemented
681	#3547	C₂×C₄₇	1	3	yes	complemented
682	#3541	C₂×C₄₇	1	6	yes	complemented
683	#3536	C₂×C₄₇	1	6	yes	complemented
684	#3522	C₂×C₄₇	1	1	yes	characteristic, complemented
685	#3520	C₂×C₄₇	1	6	yes	complemented
686	#3519	C₂×C₄₇	1	3	yes	complemented
687	#3518	C₂×C₄₇	1	1	yes	characteristic, complemented
688	#3516	C₂×C₄₇	1	2	yes	complemented
689	#3514	C₂×C₄₇	1	3	yes	complemented
690	#3511	C₂×C₄₇	1	3	yes	complemented
691	#3501	C₂×C₄₇	1	3	yes	complemented
692	#3497	C₂×C₄₇	1	1	yes	characteristic, complemented
693	#3489	C₂×C₄₇	1	2	yes	complemented
694	#3486	C₂×C₄₇	1	2	yes	complemented
695	#3482	C₂×C₄₇	1	1	yes	characteristic, complemented
696	#3481	C₂×C₄₇	1	3	yes	complemented
697	Q₈×#41	C₂×C₄₇	1	1	yes	characteristic, complemented
698	D₄×#41	C₂×C₄₇	1	1	yes	characteristic, complemented
699	C₂×D₄×Q₈	C₂×C₄₇	1	1	yes	characteristic, complemented
700	C₂×#548	C₂×C₄₇	1	2	yes	complemented
701	C₂×C₄₇	—	2	2	no	—
702	C₂×C₄₇	—	2	4	no	—
703	C₂×C₄₇	—	4	1	no	—
704	C₂×C₄₇	—	4	2	no	—
705	C₂×C₄₇	—	4	6	no	—
706	C₂×C₄₇	—	4	3	no	—
707	C₂×C₄₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
708	C₂×C₄₇	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
709	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
710	C₂×2₋¹⁺⁴	C₂²×C₄₇	1	2	yes	complemented
711	C₂²×#41	C₂²×C₄₇	1	2	yes	complemented
712	C₂³×Q₈	C₂²×C₄₇	1	2	yes	complemented
713	#563	C₂²×C₄₇	1	12	yes	complemented
714	#562	C₂²×C₄₇	1	12	yes	complemented
715	#562	C₂²×C₄₇	1	12	yes	complemented
716	#559	C₂²×C₄₇	1	3	yes	complemented
717	#559	C₂²×C₄₇	1	3	yes	complemented
718	Q₈²	C₂²×C₄₇	1	1	yes	characteristic, complemented
719	#557	C₂²×C₄₇	1	3	yes	complemented
720	#557	C₂²×C₄₇	1	1	yes	characteristic, complemented
721	#556	C₂²×C₄₇	1	3	yes	complemented
722	#556	C₂²×C₄₇	1	6	yes	complemented
723	#556	C₂²×C₄₇	1	3	yes	complemented
724	#556	C₂²×C₄₇	1	6	yes	complemented
725	#555	C₂²×C₄₇	1	6	yes	complemented
726	#555	C₂²×C₄₇	1	3	yes	complemented
727	#554	C₂²×C₄₇	1	3	yes	—
728	#554	C₂²×C₄₇	1	3	yes	—
729	#554	C₂²×C₄₇	1	6	yes	complemented
730	#554	C₂²×C₄₇	1	3	yes	complemented
731	#554	C₂²×C₄₇	1	6	yes	complemented
732	#554	C₂²×C₄₇	1	6	yes	complemented
733	#554	C₂²×C₄₇	1	12	yes	complemented
734	#554	C₂²×C₄₇	1	3	yes	complemented
735	#553	C₂²×C₄₇	1	3	yes	complemented
736	#553	C₂²×C₄₇	1	6	yes	complemented
737	#553	C₂²×C₄₇	1	3	yes	complemented
738	#553	C₂²×C₄₇	1	6	yes	complemented
739	#553	C₂²×C₄₇	1	6	yes	complemented
740	#552	C₂²×C₄₇	1	3	yes	complemented
741	#552	C₂²×C₄₇	1	3	yes	complemented
742	#552	C₂²×C₄₇	1	6	yes	complemented
743	#551	C₂²×C₄₇	1	6	yes	complemented
744	#551	C₂²×C₄₇	1	6	yes	complemented
745	#551	C₂²×C₄₇	1	12	yes	complemented
746	#550	C₂²×C₄₇	1	1	yes	characteristic, complemented
747	#550	C₂²×C₄₇	1	3	yes	complemented
748	D₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic
749	D₄×Q₈	C₂²×C₄₇	1	3	yes	—
750	D₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
751	D₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
752	D₄×Q₈	C₂²×C₄₇	1	6	yes	complemented
753	D₄×Q₈	C₂²×C₄₇	1	3	yes	complemented
754	D₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
755	D₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
756	D₄×Q₈	C₂²×C₄₇	1	6	yes	complemented
757	D₄×Q₈	C₂²×C₄₇	1	6	yes	complemented
758	D₄×Q₈	C₂²×C₄₇	1	3	yes	complemented
759	#548	C₂²×C₄₇	1	1	yes	characteristic
760	#548	C₂²×C₄₇	1	2	yes	complemented
761	#548	C₂²×C₄₇	1	2	yes	complemented
762	#548	C₂²×C₄₇	1	2	yes	complemented
763	#548	C₂²×C₄₇	1	6	yes	complemented
764	#548	C₂²×C₄₇	1	6	yes	complemented
765	#548	C₂²×C₄₇	1	6	yes	complemented
766	#548	C₂²×C₄₇	1	6	yes	complemented
767	#548	C₂²×C₄₇	1	2	yes	complemented
768	#548	C₂²×C₄₇	1	1	yes	characteristic, complemented
769	#548	C₂²×C₄₇	1	6	yes	complemented
770	#548	C₂²×C₄₇	1	6	yes	complemented
771	#548	C₂²×C₄₇	1	6	yes	complemented
772	#547	C₂²×C₄₇	1	3	yes	complemented
773	#547	C₂²×C₄₇	1	3	yes	complemented
774	#547	C₂²×C₄₇	1	6	yes	complemented
775	#547	C₂²×C₄₇	1	6	yes	complemented
776	#547	C₂²×C₄₇	1	6	yes	complemented
777	#546	C₂²×C₄₇	1	1	yes	characteristic
778	#546	C₂²×C₄₇	1	3	yes	—
779	#546	C₂²×C₄₇	1	6	yes	complemented
780	#546	C₂²×C₄₇	1	6	yes	complemented
781	#546	C₂²×C₄₇	1	6	yes	complemented
782	#546	C₂²×C₄₇	1	6	yes	complemented
783	#546	C₂²×C₄₇	1	12	yes	complemented
784	D₄²	C₂²×C₄₇	1	3	yes	—
785	D₄²	C₂²×C₄₇	1	3	yes	—
786	#544	C₂²×C₄₇	1	6	yes	complemented
787	#543	C₂²×C₄₇	1	12	yes	complemented
788	#542	C₂²×C₄₇	1	6	yes	complemented
789	#542	C₂²×C₄₇	1	6	yes	complemented
790	#542	C₂²×C₄₇	1	6	yes	complemented
791	#542	C₂²×C₄₇	1	6	yes	complemented
792	#542	C₂²×C₄₇	1	6	yes	complemented
793	#542	C₂²×C₄₇	1	12	yes	complemented
794	#542	C₂²×C₄₇	1	6	yes	complemented
795	#541	C₂²×C₄₇	1	6	yes	complemented
796	#540	C₂²×C₄₇	1	6	yes	complemented
797	#539	C₂²×C₄₇	1	12	yes	complemented
798	#539	C₂²×C₄₇	1	12	yes	complemented
799	#538	C₂²×C₄₇	1	12	yes	complemented
800	#538	C₂²×C₄₇	1	12	yes	complemented
801	#537	C₂²×C₄₇	1	6	yes	complemented
802	#537	C₂²×C₄₇	1	6	yes	complemented
803	#537	C₂²×C₄₇	1	6	yes	complemented
804	#536	C₂²×C₄₇	1	6	yes	complemented
805	#536	C₂²×C₄₇	1	6	yes	complemented
806	#536	C₂²×C₄₇	1	6	yes	complemented
807	#533	C₂²×C₄₇	1	3	yes	complemented
808	#533	C₂²×C₄₇	1	6	yes	complemented
809	#533	C₂²×C₄₇	1	3	yes	complemented
810	#533	C₂²×C₄₇	1	3	yes	complemented
811	#532	C₂²×C₄₇	1	3	yes	complemented
812	#532	C₂²×C₄₇	1	3	yes	complemented
813	#532	C₂²×C₄₇	1	3	yes	complemented
814	#532	C₂²×C₄₇	1	3	yes	complemented
815	C₂×C₄⋊Q₈	C₂²×C₄₇	1	3	yes	complemented
816	#529	C₂²×C₄₇	1	6	yes	complemented
817	#529	C₂²×C₄₇	1	3	yes	complemented
818	#529	C₂²×C₄₇	1	3	yes	complemented
819	#529	C₂²×C₄₇	1	3	yes	complemented
820	#529	C₂²×C₄₇	1	3	yes	complemented
821	#529	C₂²×C₄₇	1	6	yes	complemented
822	C₂×#124	C₂²×C₄₇	1	6	yes	complemented
823	#525	C₂²×C₄₇	1	6	yes	complemented
824	#525	C₂²×C₄₇	1	6	yes	complemented
825	#525	C₂²×C₄₇	1	6	yes	complemented
826	#525	C₂²×C₄₇	1	6	yes	complemented
827	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	6	yes	complemented
828	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	6	yes	complemented
829	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	6	yes	complemented
830	C₂×#121	C₂²×C₄₇	1	6	yes	complemented
831	#520	C₂²×C₄₇	1	2	yes	complemented
832	#520	C₂²×C₄₇	1	6	yes	complemented
833	#519	C₂²×C₄₇	1	2	yes	complemented
834	#518	C₂²×C₄₇	1	6	yes	—
835	C₄×#41	C₂²×C₄₇	1	3	yes	—
836	C₄×#41	C₂²×C₄₇	1	1	yes	characteristic, complemented
837	C₄×#41	C₂²×C₄₇	1	3	yes	complemented
838	C₂×C₄×Q₈	C₂²×C₄₇	1	2	yes	complemented
839	C₂×C₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
840	C₂×C₄×Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
841	C₂×C₄×D₄	C₂²×C₄₇	1	3	yes	—
842	C₂×C₄×D₄	C₂²×C₄₇	1	3	yes	—
843	C₂×C₄×D₄	C₂²×C₄₇	1	6	yes	complemented
844	C₄₇	#63015	1	1	yes	characteristic, direct product factor, Sylow
845	2₋¹⁺⁴	—	4	8	no	—
846	C₂×#41	—	4	8	no	—
847	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
848	C₂×#41	C₂³×C₄₇	1	1	yes	characteristic
849	C₂×#41	C₂³×C₄₇	1	2	yes	—
850	C₂×#41	C₂³×C₄₇	1	3	yes	—
851	C₂×#41	C₂³×C₄₇	1	6	yes	—
852	C₂×#41	C₂³×C₄₇	1	6	yes	—
853	C₂×#41	C₂³×C₄₇	1	6	yes	—
854	C₂×#41	C₂³×C₄₇	1	6	yes	—
855	C₂×#41	C₂³×C₄₇	1	6	yes	—
856	C₂×#41	C₂³×C₄₇	1	6	yes	—
857	C₂²×Q₈	—	4	8	no	—
858	C₂²×Q₈	C₂³×C₄₇	1	1	yes	characteristic
859	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
860	C₂²×Q₈	C₂³×C₄₇	1	1	yes	characteristic
861	C₂²×Q₈	C₂³×C₄₇	1	2	yes	—
862	C₂²×Q₈	C₂³×C₄₇	1	6	yes	—
863	C₂²×Q₈	C₂³×C₄₇	1	6	yes	—
864	C₂²×Q₈	C₂³×C₄₇	1	6	yes	—
865	C₂²×Q₈	C₂³×C₄₇	1	6	yes	—
866	C₂²×D₄	C₂³×C₄₇	1	1	yes	characteristic
867	C₂²×D₄	C₂³×C₄₇	1	3	yes	—
868	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
869	C₂²×D₄	C₂³×C₄₇	1	6	yes	—
870	C₂³×C₄	C₂³×C₄₇	1	6	yes	—
871	C₂³×C₄	C₂³×C₄₇	1	6	yes	—
872	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
873	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
874	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
875	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
876	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
877	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
878	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
879	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
880	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
881	C₄⋊Q₈	C₂³×C₄₇	1	3	yes	—
882	C₄⋊Q₈	C₂³×C₄₇	1	6	yes	—
883	C₄⋊Q₈	C₂³×C₄₇	1	12	yes	—
884	#127	C₂³×C₄₇	1	3	yes	—
885	#127	C₂³×C₄₇	1	3	yes	—
886	#126	C₂³×C₄₇	1	6	yes	—
887	#126	C₂³×C₄₇	1	12	yes	—
888	#126	C₂³×C₄₇	1	6	yes	—
889	#126	C₂³×C₄₇	1	6	yes	—
890	#126	C₂³×C₄₇	1	6	yes	—
891	#126	C₂³×C₄₇	1	6	yes	—
892	#126	C₂³×C₄₇	1	6	yes	—
893	#126	C₂³×C₄₇	1	12	yes	—
894	#126	C₂³×C₄₇	1	12	yes	—
895	#125	C₂³×C₄₇	1	3	yes	—
896	#125	C₂³×C₄₇	1	3	yes	—
897	#125	C₂³×C₄₇	1	3	yes	—
898	#125	C₂³×C₄₇	1	6	yes	—
899	#125	C₂³×C₄₇	1	3	yes	—
900	#125	C₂³×C₄₇	1	6	yes	—
901	#125	C₂³×C₄₇	1	12	yes	—
902	#125	C₂³×C₄₇	1	6	yes	—
903	#125	C₂³×C₄₇	1	12	yes	—
904	#124	C₂³×C₄₇	1	3	yes	—
905	#124	C₂³×C₄₇	1	6	yes	—
906	#124	C₂³×C₄₇	1	6	yes	—
907	#124	C₂³×C₄₇	1	6	yes	—
908	#124	C₂³×C₄₇	1	12	yes	—
909	#124	C₂³×C₄₇	1	12	yes	—
910	#124	C₂³×C₄₇	1	1	yes	characteristic
911	#124	C₂³×C₄₇	1	3	yes	—
912	#124	C₂³×C₄₇	1	3	yes	—
913	#124	C₂³×C₄₇	1	6	yes	—
914	#124	C₂³×C₄₇	1	6	yes	—
915	#124	C₂³×C₄₇	1	6	yes	—
916	#124	C₂³×C₄₇	1	6	yes	—
917	#124	C₂³×C₄₇	1	12	yes	—
918	#124	C₂³×C₄₇	1	12	yes	—
919	#123	C₂³×C₄₇	1	12	yes	—
920	#123	C₂³×C₄₇	1	6	yes	—
921	#123	C₂³×C₄₇	1	6	yes	—
922	#123	C₂³×C₄₇	1	6	yes	—
923	#123	C₂³×C₄₇	1	12	yes	—
924	#123	C₂³×C₄₇	1	6	yes	—
925	#123	C₂³×C₄₇	1	6	yes	—
926	#123	C₂³×C₄₇	1	2	yes	—
927	#123	C₂³×C₄₇	1	6	yes	—
928	#123	C₂³×C₄₇	1	6	yes	—
929	#123	C₂³×C₄₇	1	6	yes	—
930	#123	C₂³×C₄₇	1	6	yes	—
931	#123	C₂³×C₄₇	1	12	yes	—
932	#123	C₂³×C₄₇	1	12	yes	—
933	#123	C₂³×C₄₇	1	12	yes	—
934	#123	C₂³×C₄₇	1	12	yes	—
935	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
936	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
937	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
938	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
939	C₂²⋊Q₈	C₂³×C₄₇	1	3	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	6	yes	—
947	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
948	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
949	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
950	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
951	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
952	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
953	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
954	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
955	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
956	C₂²⋊Q₈	C₂³×C₄₇	1	1	yes	characteristic
957	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
958	C₂²⋊Q₈	C₂³×C₄₇	1	3	yes	—
959	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
960	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
961	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
962	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
963	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
964	C₂²⋊Q₈	C₂³×C₄₇	1	6	yes	—
965	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
966	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
967	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
968	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
969	C₂²⋊Q₈	C₂³×C₄₇	1	12	yes	—
970	#121	C₂³×C₄₇	1	3	yes	—
971	#121	C₂³×C₄₇	1	6	yes	—
972	#121	C₂³×C₄₇	1	12	yes	—
973	#121	C₂³×C₄₇	1	6	yes	—
974	#121	C₂³×C₄₇	1	6	yes	—
975	#121	C₂³×C₄₇	1	12	yes	—
976	#121	C₂³×C₄₇	1	2	yes	—
977	#121	C₂³×C₄₇	1	6	yes	—
978	#121	C₂³×C₄₇	1	6	yes	—
979	#121	C₂³×C₄₇	1	6	yes	—
980	#121	C₂³×C₄₇	1	6	yes	—
981	#121	C₂³×C₄₇	1	6	yes	—
982	#121	C₂³×C₄₇	1	3	yes	—
983	#121	C₂³×C₄₇	1	3	yes	—
984	#121	C₂³×C₄₇	1	6	yes	—
985	#121	C₂³×C₄₇	1	3	yes	—
986	#121	C₂³×C₄₇	1	1	yes	characteristic
987	#121	C₂³×C₄₇	1	3	yes	—
988	#121	C₂³×C₄₇	1	6	yes	—
989	#121	C₂³×C₄₇	1	6	yes	—
990	#121	C₂³×C₄₇	1	6	yes	—
991	#121	C₂³×C₄₇	1	6	yes	—
992	#121	C₂³×C₄₇	1	12	yes	—
993	#121	C₂³×C₄₇	1	12	yes	—
994	#121	C₂³×C₄₇	1	12	yes	—
995	#120	C₂³×C₄₇	1	6	yes	—
996	#120	C₂³×C₄₇	1	2	yes	—
997	#120	C₂³×C₄₇	1	6	yes	—
998	#120	C₂³×C₄₇	1	12	yes	—
999	#120	C₂³×C₄₇	1	6	yes	—
1000	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
1001	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
1002	C₄×Q₈	C₂³×C₄₇	1	2	yes	—
1003	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
1004	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1005	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1006	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
1007	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1008	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
1009	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1010	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1011	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1012	C₄×Q₈	C₂³×C₄₇	1	1	yes	characteristic
1013	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1014	C₄×Q₈	C₂³×C₄₇	1	3	yes	—
1015	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
1016	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
1017	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
1018	C₄×Q₈	C₂³×C₄₇	1	6	yes	—
1019	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
1020	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1021	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1022	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1023	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1024	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1025	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1026	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1027	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1028	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1029	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1030	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1031	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1032	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1033	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1034	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1035	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1036	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1037	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1038	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1039	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1040	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1041	C₄×D₄	C₂³×C₄₇	1	1	yes	characteristic
1042	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1043	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1044	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1045	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1046	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1047	C₄×D₄	C₂³×C₄₇	1	3	yes	—
1048	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1049	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1050	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1051	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1052	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1053	C₄×D₄	C₂³×C₄₇	1	12	yes	—
1054	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1055	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1056	C₄×D₄	C₂³×C₄₇	1	6	yes	—
1057	#117	C₂³×C₄₇	1	6	yes	—
1058	#117	C₂³×C₄₇	1	3	yes	—
1059	#117	C₂³×C₄₇	1	3	yes	—
1060	#117	C₂³×C₄₇	1	3	yes	—
1061	#117	C₂³×C₄₇	1	3	yes	—
1062	#117	C₂³×C₄₇	1	3	yes	—
1063	#117	C₂³×C₄₇	1	6	yes	—
1064	#117	C₂³×C₄₇	1	6	yes	—
1065	#117	C₂³×C₄₇	1	6	yes	—
1066	#117	C₂³×C₄₇	1	6	yes	—
1067	#117	C₂³×C₄₇	1	6	yes	—
1068	#117	C₂³×C₄₇	1	12	yes	—
1069	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1070	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1071	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1072	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1073	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1074	C₂×C₄⋊C₄	C₂³×C₄₇	1	3	yes	—
1075	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1076	C₂×C₄⋊C₄	C₂³×C₄₇	1	6	yes	—
1077	C₂×C₄⋊C₄	C₂³×C₄₇	1	12	yes	—
1078	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1079	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1080	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
1081	C₂×C₂²⋊C₄	C₂³×C₄₇	1	6	yes	—
1082	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
1083	C₂×C₂²⋊C₄	C₂³×C₄₇	1	12	yes	—
1084	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
1085	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
1086	C₂×C₄²	C₂³×C₄₇	1	6	yes	—
1087	C₂×C₄²	C₂³×C₄₇	1	3	yes	—
1088	C₂⁴	C₂⁴×C₄₇	1	2	yes	—
1089	C₂⁴	C₂⁴×C₄₇	1	6	yes	—
1090	#41	—	2	4	no	—
1091	#41	—	2	8	no	—
1092	#41	—	2	4	no	—
1093	#41	—	4	12	no	—
1094	#41	—	4	6	no	—
1095	#41	—	4	12	no	—
1096	#41	—	4	12	no	—
1097	#41	—	4	12	no	—
1098	#41	—	4	12	no	—
1099	#41	—	4	12	no	—
1100	C₂×Q₈	—	2	4	no	—
1101	C₂×Q₈	—	2	8	no	—
1102	C₂×Q₈	—	2	8	no	—
1103	C₂×Q₈	—	2	4	no	—
1104	C₂×Q₈	—	4	12	no	—
1105	C₂×Q₈	—	4	12	no	—
1106	C₂×Q₈	—	4	12	no	—
1107	C₂×Q₈	—	4	12	no	—
1108	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
1109	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
1110	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
1111	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
1112	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
1113	C₂×Q₈	C₂⁴×C₄₇	1	3	yes	—
1114	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
1115	C₂×Q₈	C₂⁴×C₄₇	1	6	yes	—
1116	C₂×Q₈	C₂⁴×C₄₇	1	12	yes	—
1117	C₂×Q₈	C₂⁴×C₄₇	1	1	yes	characteristic
1118	C₂×D₄	—	2	4	no	—
1119	C₂×D₄	—	2	12	no	—
1120	C₂×D₄	—	4	12	no	—
1121	C₂×D₄	—	4	12	no	—
1122	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1123	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1124	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1125	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1126	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
1127	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
1128	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1129	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1130	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1131	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1132	C₂×D₄	C₂⁴×C₄₇	1	3	yes	—
1133	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1134	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1135	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1136	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1137	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1138	C₂×D₄	C₂⁴×C₄₇	1	6	yes	—
1139	C₂×D₄	C₂⁴×C₄₇	1	12	yes	—
1140	C₂×D₄	C₂⁴×C₄₇	1	1	yes	characteristic
1141	C₂²×C₄	—	4	12	no	—
1142	C₂²×C₄	—	4	12	no	—
1143	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1144	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1147	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1148	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1149	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1150	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1151	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1152	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1153	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1154	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1155	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1156	C₂²×C₄	C₂⁴×C₄₇	1	3	yes	—
1157	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1158	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1159	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1160	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
1161	C₂²×C₄	C₂⁴×C₄₇	1	12	yes	—
1162	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1163	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1164	C₂²×C₄	C₂⁴×C₄₇	1	6	yes	—
1165	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1166	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1167	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1168	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1169	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1170	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1171	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1172	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1173	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1174	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1175	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1176	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1177	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1178	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1179	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1180	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1181	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1182	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1183	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1184	C₄⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1185	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1186	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1187	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1188	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1189	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1190	C₄⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1191	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1192	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1193	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1194	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1195	C₄⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1196	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1197	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1198	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1199	C₄⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1200	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1201	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1202	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1203	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1204	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1205	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1206	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1207	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1208	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1209	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1210	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1211	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1212	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1213	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1214	C₂²⋊C₄	C₂⁴×C₄₇	1	12	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	12	yes	—
1220	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1221	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1222	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1223	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1224	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1225	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1226	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1227	C₂²⋊C₄	C₂⁴×C₄₇	1	12	yes	—
1228	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1229	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1230	C₂²⋊C₄	C₂⁴×C₄₇	1	6	yes	—
1231	C₂²⋊C₄	C₂⁴×C₄₇	1	3	yes	—
1232	C₄²	C₂⁴×C₄₇	1	1	yes	characteristic
1233	C₄²	C₂⁴×C₄₇	1	3	yes	—
1234	C₄²	C₂⁴×C₄₇	1	3	yes	—
1235	C₄²	C₂⁴×C₄₇	1	3	yes	—
1236	C₄²	C₂⁴×C₄₇	1	6	yes	—
1237	C₄²	C₂⁴×C₄₇	1	3	yes	—
1238	C₄²	C₂⁴×C₄₇	1	3	yes	—
1239	C₄²	C₂⁴×C₄₇	1	3	yes	—
1240	C₄²	C₂⁴×C₄₇	1	6	yes	—
1241	C₄²	C₂⁴×C₄₇	1	3	yes	—
1242	C₄²	C₂⁴×C₄₇	1	3	yes	—
1243	C₄²	C₂⁴×C₄₇	1	3	yes	—
1244	C₄²	C₂⁴×C₄₇	1	6	yes	—
1245	C₄²	C₂⁴×C₄₇	1	12	yes	—
1246	C₂³	—	2	4	no	—
1247	C₂³	—	2	4	no	—
1248	C₂³	—	2	12	no	—
1249	C₂³	—	4	2	no	—
1250	C₂³	—	4	6	no	—
1251	C₂³	—	4	6	no	—
1252	C₂³	C₂⁵×C₄₇	1	3	yes	—
1253	C₂³	C₂⁵×C₄₇	1	2	yes	—
1254	C₂³	C₂⁵×C₄₇	1	6	yes	—
1255	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1256	C₂³	C₂⁵×C₄₇	1	2	yes	—
1257	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1258	Q₈	—	2	6	no	—
1259	Q₈	—	2	12	no	—
1260	Q₈	—	2	12	no	—
1261	Q₈	—	2	6	no	—
1262	Q₈	—	2	2	no	—
1263	Q₈	—	4	12	no	—
1264	Q₈	—	4	6	no	—
1265	Q₈	—	4	3	no	—
1266	Q₈	—	4	6	no	—
1267	Q₈	H(5,𝔽₂)×C₄₇	1	4	yes	—
1268	D₄	—	2	4	no	—
1269	D₄	—	2	12	no	—
1270	D₄	—	2	4	no	—
1271	D₄	—	2	6	no	—
1272	D₄	—	2	12	no	—
1273	D₄	—	2	2	no	—
1274	D₄	—	2	6	no	—
1275	D₄	—	2	12	no	—
1276	D₄	—	2	2	no	—
1277	D₄	—	2	6	no	—
1278	D₄	—	4	6	no	—
1279	D₄	—	4	6	no	—
1280	D₄	—	4	12	no	—
1281	D₄	—	4	3	no	—
1282	D₄	—	4	6	no	—
1283	D₄	—	4	2	no	—
1284	D₄	—	4	6	no	—
1285	D₄	—	4	6	no	—
1286	D₄	2₋¹⁺⁴×C₄₇	1	4	yes	complemented
1287	C₂×C₄	—	2	4	no	—
1288	C₂×C₄	—	2	6	no	—
1289	C₂×C₄	—	2	12	no	—
1290	C₂×C₄	—	2	6	no	—
1291	C₂×C₄	—	2	6	no	—
1292	C₂×C₄	—	2	12	no	—
1293	C₂×C₄	—	2	12	no	—
1294	C₂×C₄	—	2	6	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	6	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	4	2	no	—
1299	C₂×C₄	—	4	6	no	—
1300	C₂×C₄	—	4	6	no	—
1301	C₂×C₄	—	4	6	no	—
1302	C₂×C₄	—	4	6	no	—
1303	C₂×C₄	—	4	6	no	—
1304	C₂×C₄	—	4	6	no	—
1305	C₂×C₄	—	4	12	no	—
1306	C₂×C₄	—	4	12	no	—
1307	C₂×C₄	—	4	3	no	—
1308	C₂×C₄	—	4	3	no	—
1309	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1310	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1311	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1312	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1313	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1314	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1315	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1316	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1317	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1318	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1319	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1320	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1321	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1322	C₂×C₄	C₂⁵×C₄₇	1	6	yes	—
1323	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1324	C₂×C₄	C₂⁵×C₄₇	1	3	yes	—
1325	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1326	C₂²	—	2	1	no	—
1327	C₂²	—	2	2	no	—
1328	C₂²	—	2	1	no	—
1329	C₂²	—	2	2	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	1	no	—
1332	C₂²	—	2	6	no	—
1333	C₂²	—	2	3	no	—
1334	C₂²	—	2	1	no	—
1335	C₂²	—	2	3	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	6	no	—
1338	C₂²	—	2	1	no	—
1339	C₂²	—	2	6	no	—
1340	C₂²	—	2	3	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	4	8	no	—
1343	C₂²	—	8	12	no	—
1344	C₂²	C₂×2₋¹⁺⁴×C₄₇	1	4	yes	—
1345	C₂²	C₄₇×#585	1	2	yes	—
1346	C₂²	C₂⁶×C₄₇	1	1	yes	characteristic
1347	C₄	—	2	1	no	—
1348	C₄	—	2	2	no	—
1349	C₄	—	2	6	no	—
1350	C₄	—	2	3	no	—
1351	C₄	—	2	6	no	—
1352	C₄	—	2	3	no	—
1353	C₄	—	2	1	no	—
1354	C₄	—	2	1	no	—
1355	C₄	—	2	3	no	—
1356	C₄	—	2	2	no	—
1357	C₄	—	2	3	no	—
1358	C₄	—	2	3	no	—
1359	C₄	—	2	3	no	—
1360	C₄	—	2	6	no	—
1361	C₄	—	2	1	no	—
1362	C₄	C₂×H(5,𝔽₂)×C₄₇	1	6	yes	—
1363	C₄	C₂×2₋¹⁺⁴×C₄₇	1	2	yes	—
1364	C₂	—	2	2	no	—
1365	C₂	—	2	4	no	—
1366	C₂	—	4	2	no	—
1367	C₂	—	4	3	no	—
1368	C₂	—	4	6	no	—
1369	C₂	—	4	1	no	—
1370	C₂	C₂²×H(5,𝔽₂)×C₄₇	1	1	yes	characteristic
1371	C₂	C₂²×2₋¹⁺⁴×C₄₇	1	1	yes	characteristic
1372	C₂	C₂×C₄₇×#585	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×#3561	C₂	semidirect
2. C₄₇×#3554	C₂	semidirect
3. C₄₇×#3552	C₂	semidirect
4. C₄₇×#3547	C₂	semidirect
5. C₄₇×#3541	C₂	semidirect
6. C₄₇×#3536	C₂	semidirect
7. C₄₇×#3522	C₂	semidirect
8. C₄₇×#3520	C₂	semidirect
9. C₄₇×#3519	C₂	semidirect
10. C₄₇×#3518	C₂	semidirect
11. C₄₇×#3516	C₂	semidirect
12. C₄₇×#3514	C₂	semidirect
13. C₄₇×#3511	C₂	semidirect
14. C₄₇×#3501	C₂	semidirect
15. C₄₇×#3497	C₂	semidirect
16. C₄₇×#3489	C₂	semidirect
17. C₄₇×#3486	C₂	semidirect
18. C₄₇×#3482	C₂	semidirect
19. C₄₇×#3481	C₂	semidirect
20. Q₈×#41×C₄₇	C₂	semidirect
21. D₄×#41×C₄₇	C₂	semidirect
22. C₂×D₄×Q₈×C₄₇	C₂	semidirect
23. C₂×C₄₇×#548	C₂	semidirect
24. C₂×2₋¹⁺⁴×C₄₇	C₂²	semidirect
25. C₂²×#41×C₄₇	C₂²	semidirect
26. C₂³×Q₈×C₄₇	C₂²	semidirect
27. C₄₇×#563	C₂²	semidirect
28. C₄₇×#562	C₂²	semidirect
29. C₄₇×#562	C₂²	semidirect
30. C₄₇×#559	C₂²	semidirect
31. C₄₇×#559	C₂²	semidirect
32. Q₈²×C₄₇	C₂²	semidirect
33. C₄₇×#557	C₂²	semidirect
34. C₄₇×#557	C₂²	semidirect
35. C₄₇×#556	C₂²	semidirect
36. C₄₇×#556	C₂²	semidirect
37. C₄₇×#556	C₂²	semidirect
38. C₄₇×#556	C₂²	semidirect
39. C₄₇×#555	C₂²	semidirect
40. C₄₇×#555	C₂²	semidirect
43. C₄₇×#554	C₂²	semidirect
44. C₄₇×#554	C₂²	semidirect
45. C₄₇×#554	C₂²	semidirect
46. C₄₇×#554	C₂²	semidirect
47. C₄₇×#554	C₂²	semidirect
48. C₄₇×#554	C₂²	semidirect
49. C₄₇×#553	C₂²	semidirect
50. C₄₇×#553	C₂²	semidirect
51. C₄₇×#553	C₂²	semidirect
52. C₄₇×#553	C₂²	semidirect
53. C₄₇×#553	C₂²	semidirect
54. C₄₇×#552	C₂²	semidirect
55. C₄₇×#552	C₂²	semidirect
56. C₄₇×#552	C₂²	semidirect
57. C₄₇×#551	C₂²	semidirect
58. C₄₇×#551	C₂²	semidirect
59. C₄₇×#551	C₂²	semidirect
60. C₄₇×#550	C₂²	semidirect
61. C₄₇×#550	C₂²	semidirect
64. D₄×Q₈×C₄₇	C₂²	semidirect
65. D₄×Q₈×C₄₇	C₂²	semidirect
66. D₄×Q₈×C₄₇	C₂²	semidirect
67. D₄×Q₈×C₄₇	C₂²	semidirect
68. D₄×Q₈×C₄₇	C₂²	semidirect
69. D₄×Q₈×C₄₇	C₂²	semidirect
70. D₄×Q₈×C₄₇	C₂²	semidirect
71. D₄×Q₈×C₄₇	C₂²	semidirect
72. D₄×Q₈×C₄₇	C₂²	semidirect
74. C₄₇×#548	C₂²	semidirect
75. C₄₇×#548	C₂²	semidirect
76. C₄₇×#548	C₂²	semidirect
77. C₄₇×#548	C₂²	semidirect
78. C₄₇×#548	C₂²	semidirect
79. C₄₇×#548	C₂²	semidirect
80. C₄₇×#548	C₂²	semidirect
81. C₄₇×#548	C₂²	semidirect
82. C₄₇×#548	C₂²	semidirect
83. C₄₇×#548	C₂²	semidirect
84. C₄₇×#548	C₂²	semidirect
85. C₄₇×#548	C₂²	semidirect
86. C₄₇×#547	C₂²	semidirect
87. C₄₇×#547	C₂²	semidirect
88. C₄₇×#547	C₂²	semidirect
89. C₄₇×#547	C₂²	semidirect
90. C₄₇×#547	C₂²	semidirect
93. C₄₇×#546	C₂²	semidirect
94. C₄₇×#546	C₂²	semidirect
95. C₄₇×#546	C₂²	semidirect
96. C₄₇×#546	C₂²	semidirect
97. C₄₇×#546	C₂²	semidirect
100. C₄₇×#544	C₂²	semidirect
101. C₄₇×#543	C₂²	semidirect
102. C₄₇×#542	C₂²	semidirect
103. C₄₇×#542	C₂²	semidirect
104. C₄₇×#542	C₂²	semidirect
105. C₄₇×#542	C₂²	semidirect
106. C₄₇×#542	C₂²	semidirect
107. C₄₇×#542	C₂²	semidirect
108. C₄₇×#542	C₂²	semidirect
109. C₄₇×#541	C₂²	semidirect
110. C₄₇×#540	C₂²	semidirect
111. C₄₇×#539	C₂²	semidirect
112. C₄₇×#539	C₂²	semidirect
113. C₄₇×#538	C₂²	semidirect
114. C₄₇×#538	C₂²	semidirect
115. C₄₇×#537	C₂²	semidirect
116. C₄₇×#537	C₂²	semidirect
117. C₄₇×#537	C₂²	semidirect
118. C₄₇×#536	C₂²	semidirect
119. C₄₇×#536	C₂²	semidirect
120. C₄₇×#536	C₂²	semidirect
121. C₄₇×#533	C₂²	semidirect
122. C₄₇×#533	C₂²	semidirect
123. C₄₇×#533	C₂²	semidirect
124. C₄₇×#533	C₂²	semidirect
125. C₄₇×#532	C₂²	semidirect
126. C₄₇×#532	C₂²	semidirect
127. C₄₇×#532	C₂²	semidirect
128. C₄₇×#532	C₂²	semidirect
129. C₂×C₄⋊Q₈×C₄₇	C₂²	semidirect
130. C₄₇×#529	C₂²	semidirect
131. C₄₇×#529	C₂²	semidirect
132. C₄₇×#529	C₂²	semidirect
133. C₄₇×#529	C₂²	semidirect
134. C₄₇×#529	C₂²	semidirect
135. C₄₇×#529	C₂²	semidirect
136. C₂×#124×C₄₇	C₂²	semidirect
137. C₄₇×#525	C₂²	semidirect
138. C₄₇×#525	C₂²	semidirect
139. C₄₇×#525	C₂²	semidirect
140. C₄₇×#525	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
143. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
144. C₂×#121×C₄₇	C₂²	semidirect
145. C₄₇×#520	C₂²	semidirect
146. C₄₇×#520	C₂²	semidirect
147. C₄₇×#519	C₂²	semidirect
150. C₄×#41×C₄₇	C₂²	semidirect
151. C₄×#41×C₄₇	C₂²	semidirect
152. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
153. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
154. C₂×C₄×Q₈×C₄₇	C₂²	semidirect
157. C₂×C₄×D₄×C₄₇	C₂²	semidirect
599. D₄×C₄₇	2₋¹⁺⁴	semidirect
639. #63015	C₄₇	direct (N × H)
678. #3561	C₂×C₄₇	semidirect
679. #3554	C₂×C₄₇	semidirect
680. #3552	C₂×C₄₇	semidirect
681. #3547	C₂×C₄₇	semidirect
682. #3541	C₂×C₄₇	semidirect
683. #3536	C₂×C₄₇	semidirect
684. #3522	C₂×C₄₇	semidirect
685. #3520	C₂×C₄₇	semidirect
686. #3519	C₂×C₄₇	semidirect
687. #3518	C₂×C₄₇	semidirect
688. #3516	C₂×C₄₇	semidirect
689. #3514	C₂×C₄₇	semidirect
690. #3511	C₂×C₄₇	semidirect
691. #3501	C₂×C₄₇	semidirect
692. #3497	C₂×C₄₇	semidirect
693. #3489	C₂×C₄₇	semidirect
694. #3486	C₂×C₄₇	semidirect
695. #3482	C₂×C₄₇	semidirect
696. #3481	C₂×C₄₇	semidirect
697. Q₈×#41	C₂×C₄₇	semidirect
698. D₄×#41	C₂×C₄₇	semidirect
699. C₂×D₄×Q₈	C₂×C₄₇	semidirect
700. C₂×#548	C₂×C₄₇	semidirect
710. C₂×2₋¹⁺⁴	C₂²×C₄₇	semidirect
711. C₂²×#41	C₂²×C₄₇	semidirect
712. C₂³×Q₈	C₂²×C₄₇	semidirect
713. #563	C₂²×C₄₇	semidirect
714. #562	C₂²×C₄₇	semidirect
715. #562	C₂²×C₄₇	semidirect
716. #559	C₂²×C₄₇	semidirect
717. #559	C₂²×C₄₇	semidirect
718. Q₈²	C₂²×C₄₇	semidirect
719. #557	C₂²×C₄₇	semidirect
720. #557	C₂²×C₄₇	semidirect
721. #556	C₂²×C₄₇	semidirect
722. #556	C₂²×C₄₇	semidirect
723. #556	C₂²×C₄₇	semidirect
724. #556	C₂²×C₄₇	semidirect
725. #555	C₂²×C₄₇	semidirect
726. #555	C₂²×C₄₇	semidirect
729. #554	C₂²×C₄₇	semidirect
730. #554	C₂²×C₄₇	semidirect
731. #554	C₂²×C₄₇	semidirect
732. #554	C₂²×C₄₇	semidirect
733. #554	C₂²×C₄₇	semidirect
734. #554	C₂²×C₄₇	semidirect
735. #553	C₂²×C₄₇	semidirect
736. #553	C₂²×C₄₇	semidirect
737. #553	C₂²×C₄₇	semidirect
738. #553	C₂²×C₄₇	semidirect
739. #553	C₂²×C₄₇	semidirect
740. #552	C₂²×C₄₇	semidirect
741. #552	C₂²×C₄₇	semidirect
742. #552	C₂²×C₄₇	semidirect
743. #551	C₂²×C₄₇	semidirect
744. #551	C₂²×C₄₇	semidirect
745. #551	C₂²×C₄₇	semidirect
746. #550	C₂²×C₄₇	semidirect
747. #550	C₂²×C₄₇	semidirect
750. D₄×Q₈	C₂²×C₄₇	semidirect
751. D₄×Q₈	C₂²×C₄₇	semidirect
752. D₄×Q₈	C₂²×C₄₇	semidirect
753. D₄×Q₈	C₂²×C₄₇	semidirect
754. D₄×Q₈	C₂²×C₄₇	semidirect
755. D₄×Q₈	C₂²×C₄₇	semidirect
756. D₄×Q₈	C₂²×C₄₇	semidirect
757. D₄×Q₈	C₂²×C₄₇	semidirect
758. D₄×Q₈	C₂²×C₄₇	semidirect
760. #548	C₂²×C₄₇	semidirect
761. #548	C₂²×C₄₇	semidirect
762. #548	C₂²×C₄₇	semidirect
763. #548	C₂²×C₄₇	semidirect
764. #548	C₂²×C₄₇	semidirect
765. #548	C₂²×C₄₇	semidirect
766. #548	C₂²×C₄₇	semidirect
767. #548	C₂²×C₄₇	semidirect
768. #548	C₂²×C₄₇	semidirect
769. #548	C₂²×C₄₇	semidirect
770. #548	C₂²×C₄₇	semidirect
771. #548	C₂²×C₄₇	semidirect
772. #547	C₂²×C₄₇	semidirect
773. #547	C₂²×C₄₇	semidirect
774. #547	C₂²×C₄₇	semidirect
775. #547	C₂²×C₄₇	semidirect
776. #547	C₂²×C₄₇	semidirect
779. #546	C₂²×C₄₇	semidirect
780. #546	C₂²×C₄₇	semidirect
781. #546	C₂²×C₄₇	semidirect
782. #546	C₂²×C₄₇	semidirect
783. #546	C₂²×C₄₇	semidirect
786. #544	C₂²×C₄₇	semidirect
787. #543	C₂²×C₄₇	semidirect
788. #542	C₂²×C₄₇	semidirect
789. #542	C₂²×C₄₇	semidirect
790. #542	C₂²×C₄₇	semidirect
791. #542	C₂²×C₄₇	semidirect
792. #542	C₂²×C₄₇	semidirect
793. #542	C₂²×C₄₇	semidirect
794. #542	C₂²×C₄₇	semidirect
795. #541	C₂²×C₄₇	semidirect
796. #540	C₂²×C₄₇	semidirect
797. #539	C₂²×C₄₇	semidirect
798. #539	C₂²×C₄₇	semidirect
799. #538	C₂²×C₄₇	semidirect
800. #538	C₂²×C₄₇	semidirect
801. #537	C₂²×C₄₇	semidirect
802. #537	C₂²×C₄₇	semidirect
803. #537	C₂²×C₄₇	semidirect
804. #536	C₂²×C₄₇	semidirect
805. #536	C₂²×C₄₇	semidirect
806. #536	C₂²×C₄₇	semidirect
807. #533	C₂²×C₄₇	semidirect
808. #533	C₂²×C₄₇	semidirect
809. #533	C₂²×C₄₇	semidirect
810. #533	C₂²×C₄₇	semidirect
811. #532	C₂²×C₄₇	semidirect
812. #532	C₂²×C₄₇	semidirect
813. #532	C₂²×C₄₇	semidirect
814. #532	C₂²×C₄₇	semidirect
815. C₂×C₄⋊Q₈	C₂²×C₄₇	semidirect
816. #529	C₂²×C₄₇	semidirect
817. #529	C₂²×C₄₇	semidirect
818. #529	C₂²×C₄₇	semidirect
819. #529	C₂²×C₄₇	semidirect
820. #529	C₂²×C₄₇	semidirect
821. #529	C₂²×C₄₇	semidirect
822. C₂×#124	C₂²×C₄₇	semidirect
823. #525	C₂²×C₄₇	semidirect
824. #525	C₂²×C₄₇	semidirect
825. #525	C₂²×C₄₇	semidirect
826. #525	C₂²×C₄₇	semidirect
827. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
828. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
829. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
830. C₂×#121	C₂²×C₄₇	semidirect
831. #520	C₂²×C₄₇	semidirect
832. #520	C₂²×C₄₇	semidirect
833. #519	C₂²×C₄₇	semidirect
836. C₄×#41	C₂²×C₄₇	semidirect
837. C₄×#41	C₂²×C₄₇	semidirect
838. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
839. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
840. C₂×C₄×Q₈	C₂²×C₄₇	semidirect
843. C₂×C₄×D₄	C₂²×C₄₇	semidirect
844. C₄₇	#63015	direct (N × H)
1286. D₄	2₋¹⁺⁴×C₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₄₇×#3561	2
C₄₇×#3554	2
C₄₇×#3552	2
C₄₇×#3547	2
C₄₇×#3541	2
C₄₇×#3536	2
C₄₇×#3522	2
C₄₇×#3520	2
C₄₇×#3519	2
C₄₇×#3518	2
C₄₇×#3516	2
C₄₇×#3514	2
C₄₇×#3511	2
C₄₇×#3501	2
C₄₇×#3497	2
C₄₇×#3489	2
C₄₇×#3486	2
C₄₇×#3482	2
C₄₇×#3481	2
Q₈×#41×C₄₇	2
D₄×#41×C₄₇	2
C₂×D₄×Q₈×C₄₇	2
C₂×C₄₇×#548	2
#63015	47

Subgroups — C47×#63015 #26102713

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#63015 #26102713