Subgroups — C₄₇×#62990 #26102688

Order 12032.

7348 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₇×#3521	C₂	1	4	yes	maximal, complemented
2	C₄₇×#3521	C₂	1	4	yes	maximal, complemented
3	C₄₇×#3520	C₂	1	4	yes	maximal, complemented
4	C₄₇×#3514	C₂	1	4	yes	maximal, complemented
5	C₄₇×#3513	C₂	1	4	yes	maximal, complemented
6	C₄₇×#3513	C₂	1	4	yes	maximal, complemented
7	C₄₇×#3510	C₂	1	2	yes	maximal, complemented
8	C₄₇×#3505	C₂	1	4	yes	maximal, complemented
9	C₄₇×#3501	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄₇×#3495	C₂	1	2	yes	maximal, complemented
11	C₄₇×#3494	C₂	1	2	yes	maximal, complemented
12	C₄₇×#3491	C₂	1	4	yes	maximal, complemented
13	C₄₇×#3490	C₂	1	4	yes	maximal, complemented
14	C₄₇×#3485	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₇×#3484	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄₇×#3481	C₂	1	4	yes	maximal, complemented
17	C₄₇×#3475	C₂	1	2	yes	maximal, complemented
18	C₄₇×#3475	C₂	1	4	yes	maximal, complemented
19	C₂×C₄₇×#551	C₂	1	4	yes	maximal, complemented
20	C₂×C₄₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×H(5,𝔽₂)×C₄₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄₇×#3428	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×H(5,𝔽₂)×C₄₇	C₂²	1	1	yes	characteristic
25	C₂²×#41×C₄₇	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
27	C₄₇×#559	C₂²	1	4	yes	complemented
28	C₄₇×#559	C₂²	1	4	yes	complemented
29	C₄₇×#556	C₂²	1	2	yes	complemented
30	C₄₇×#556	C₂²	1	4	yes	complemented
31	C₄₇×#556	C₂²	1	4	yes	complemented
32	C₄₇×#556	C₂²	1	4	yes	complemented
33	C₄₇×#555	C₂²	1	2	yes	complemented
34	C₄₇×#555	C₂²	1	4	yes	complemented
35	C₄₇×#554	C₂²	1	2	yes	complemented
36	C₄₇×#554	C₂²	1	4	yes	complemented
37	C₄₇×#554	C₂²	1	4	yes	complemented
38	C₄₇×#554	C₂²	1	4	yes	complemented
39	C₄₇×#554	C₂²	1	4	yes	complemented
40	C₄₇×#553	C₂²	1	2	yes	complemented
41	C₄₇×#553	C₂²	1	2	yes	complemented
42	C₄₇×#553	C₂²	1	8	yes	complemented
43	C₄₇×#553	C₂²	1	4	yes	complemented
44	C₄₇×#553	C₂²	1	8	yes	complemented
45	C₄₇×#553	C₂²	1	4	yes	complemented
46	C₄₇×#553	C₂²	1	8	yes	complemented
47	C₄₇×#552	C₂²	1	2	yes	complemented
48	C₄₇×#552	C₂²	1	4	yes	complemented
49	C₄₇×#552	C₂²	1	4	yes	complemented
50	C₄₇×#552	C₂²	1	8	yes	complemented
51	C₄₇×#552	C₂²	1	2	yes	complemented
52	C₄₇×#552	C₂²	1	4	yes	complemented
53	C₄₇×#552	C₂²	1	8	yes	complemented
54	C₄₇×#552	C₂²	1	8	yes	complemented
55	C₄₇×#551	C₂²	1	4	yes	complemented
56	C₄₇×#551	C₂²	1	8	yes	complemented
57	C₄₇×#551	C₂²	1	8	yes	complemented
58	C₄₇×#551	C₂²	1	8	yes	complemented
59	C₄₇×#551	C₂²	1	8	yes	complemented
60	C₄₇×#551	C₂²	1	8	yes	complemented
61	C₄₇×#551	C₂²	1	8	yes	complemented
62	C₄₇×#551	C₂²	1	4	yes	complemented
63	C₄₇×#551	C₂²	1	8	yes	complemented
64	C₄₇×#551	C₂²	1	8	yes	complemented
65	C₄₇×#551	C₂²	1	8	yes	complemented
66	C₄₇×#551	C₂²	1	8	yes	complemented
67	C₄₇×#551	C₂²	1	8	yes	complemented
68	C₄₇×#551	C₂²	1	8	yes	complemented
69	D₄×Q₈×C₄₇	C₂²	1	4	yes	complemented
70	C₄₇×#548	C₂²	1	8	yes	complemented
71	C₄₇×#547	C₂²	1	2	yes	complemented
72	C₄₇×#547	C₂²	1	4	yes	complemented
73	C₄₇×#547	C₂²	1	4	yes	complemented
74	C₄₇×#547	C₂²	1	4	yes	complemented
75	C₄₇×#546	C₂²	1	4	yes	complemented
76	C₄₇×#546	C₂²	1	4	yes	complemented
77	C₄₇×#546	C₂²	1	4	yes	complemented
78	C₄₇×#546	C₂²	1	4	yes	complemented
79	C₄₇×#546	C₂²	1	4	yes	complemented
80	C₄₇×#546	C₂²	1	4	yes	complemented
81	C₄₇×#546	C₂²	1	4	yes	complemented
82	C₄₇×#546	C₂²	1	8	yes	complemented
83	C₄₇×#546	C₂²	1	8	yes	complemented
84	C₄₇×#546	C₂²	1	8	yes	complemented
85	C₄₇×#546	C₂²	1	4	yes	complemented
86	C₄₇×#546	C₂²	1	4	yes	complemented
87	D₄²×C₄₇	C₂²	1	4	yes	complemented
88	D₄²×C₄₇	C₂²	1	4	yes	complemented
89	C₄₇×#544	C₂²	1	2	yes	complemented
90	C₄₇×#543	C₂²	1	4	yes	complemented
91	C₄₇×#542	C₂²	1	4	yes	complemented
92	C₄₇×#542	C₂²	1	4	yes	complemented
93	C₄₇×#542	C₂²	1	4	yes	complemented
94	C₄₇×#542	C₂²	1	4	yes	complemented
95	C₄₇×#541	C₂²	1	4	yes	complemented
96	C₄₇×#540	C₂²	1	4	yes	complemented
97	C₄₇×#539	C₂²	1	8	yes	complemented
98	C₄₇×#539	C₂²	1	8	yes	complemented
99	C₄₇×#539	C₂²	1	8	yes	complemented
100	C₄₇×#538	C₂²	1	8	yes	complemented
101	C₄₇×#538	C₂²	1	8	yes	complemented
102	C₄₇×#538	C₂²	1	8	yes	complemented
103	C₄₇×#536	C₂²	1	2	yes	complemented
104	C₄₇×#535	C₂²	1	2	yes	—
105	C₄₇×#534	C₂²	1	4	yes	—
106	C₄₇×#534	C₂²	1	4	yes	complemented
107	C₄₇×#533	C₂²	1	4	yes	complemented
108	C₄₇×#533	C₂²	1	2	yes	complemented
109	C₄₇×#532	C₂²	1	4	yes	complemented
110	C₄₇×#529	C₂²	1	4	yes	complemented
111	C₄₇×#529	C₂²	1	4	yes	complemented
112	C₄₇×#529	C₂²	1	4	yes	complemented
113	C₄₇×#529	C₂²	1	4	yes	complemented
114	C₄₇×#529	C₂²	1	8	yes	complemented
115	C₄₇×#529	C₂²	1	8	yes	complemented
116	C₄₇×#529	C₂²	1	8	yes	complemented
117	C₄₇×#529	C₂²	1	4	yes	complemented
118	C₄₇×#529	C₂²	1	4	yes	complemented
119	C₄₇×#529	C₂²	1	4	yes	complemented
120	C₂×#126×C₄₇	C₂²	1	4	yes	complemented
121	C₂×#126×C₄₇	C₂²	1	4	yes	complemented
122	C₂×#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
123	C₂×#124×C₄₇	C₂²	1	4	yes	complemented
124	C₄₇×#525	C₂²	1	2	yes	—
125	C₄₇×#525	C₂²	1	2	yes	complemented
126	C₄₇×#525	C₂²	1	8	yes	complemented
127	C₄₇×#525	C₂²	1	8	yes	complemented
128	C₄₇×#525	C₂²	1	8	yes	complemented
129	C₂×#123×C₄₇	C₂²	1	2	yes	complemented
130	C₂×#123×C₄₇	C₂²	1	4	yes	complemented
131	C₂×#123×C₄₇	C₂²	1	4	yes	complemented
132	C₂×#123×C₄₇	C₂²	1	4	yes	complemented
133	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	4	yes	complemented
135	C₂×C₂²⋊Q₈×C₄₇	C₂²	1	4	yes	complemented
136	C₂×#121×C₄₇	C₂²	1	1	yes	characteristic, complemented
137	C₂×#121×C₄₇	C₂²	1	2	yes	complemented
138	C₂×#120×C₄₇	C₂²	1	4	yes	—
139	C₂×#120×C₄₇	C₂²	1	2	yes	complemented
140	C₄₇×#520	C₂²	1	2	yes	complemented
141	C₄₇×#520	C₂²	1	4	yes	complemented
142	C₄₇×#520	C₂²	1	4	yes	complemented
143	C₄₇×#520	C₂²	1	4	yes	complemented
144	C₄₇×#519	C₂²	1	2	yes	complemented
145	C₄₇×#518	C₂²	1	1	yes	characteristic
146	C₄₇×#518	C₂²	1	1	yes	characteristic
147	C₄₇×#518	C₂²	1	1	yes	characteristic
148	C₄₇×#518	C₂²	1	4	yes	complemented
149	C₄₇×#518	C₂²	1	2	yes	complemented
150	C₄₇×#518	C₂²	1	4	yes	complemented
151	C₄₇×#518	C₂²	1	4	yes	complemented
152	C₄₇×#518	C₂²	1	4	yes	complemented
153	C₄₇×#518	C₂²	1	4	yes	complemented
154	C₄₇×#518	C₂²	1	4	yes	complemented
155	C₄×#41×C₄₇	C₂²	1	2	yes	complemented
156	C₄×#41×C₄₇	C₂²	1	4	yes	complemented
157	C₄×#41×C₄₇	C₂²	1	4	yes	complemented
158	C₄×#41×C₄₇	C₂²	1	4	yes	complemented
159	C₄×#41×C₄₇	C₂²	1	4	yes	complemented
160	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
161	C₂×C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
162	C₂×C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
163	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
165	C₂×C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
166	C₂×C₄×D₄×C₄₇	C₂²	1	4	yes	complemented
167	C₂×#117×C₄₇	C₂²	1	2	yes	complemented
168	C₂×#117×C₄₇	C₂²	1	4	yes	complemented
169	C₂×#117×C₄₇	C₂²	1	2	yes	complemented
170	C₂×#117×C₄₇	C₂²	1	4	yes	complemented
171	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	4	yes	complemented
172	C₂²×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	complemented
173	C₂⁵×C₄₇	C₂³	1	2	yes	—
174	H(5,𝔽₂)×C₄₇	—	2	8	no	—
175	C₂×#41×C₄₇	—	2	8	no	—
176	C₂×#41×C₄₇	C₂³	1	4	yes	—
177	C₂×#41×C₄₇	C₂³	1	2	yes	—
178	C₂×#41×C₄₇	C₂³	1	4	yes	—
179	C₂×#41×C₄₇	C₂³	1	4	yes	—
180	C₂×#41×C₄₇	C₂³	1	4	yes	—
181	C₂×#41×C₄₇	C₂³	1	8	yes	complemented
182	C₂²×Q₈×C₄₇	C₂³	1	1	yes	characteristic
183	C₂²×Q₈×C₄₇	C₂³	1	4	yes	complemented
184	C₂²×D₄×C₄₇	—	2	8	no	—
185	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
186	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
187	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
188	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
189	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
190	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
192	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
193	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₄₇	C₂³	1	4	yes	—
195	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
196	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
198	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₄₇	C₂³	1	4	yes	—
201	C₂³×C₄×C₄₇	C₂³	1	2	yes	—
202	C₂³×C₄×C₄₇	C₂³	1	4	yes	—
203	C₂³×C₄×C₄₇	C₂³	1	4	yes	complemented
204	C₄⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
205	C₄⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
206	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	complemented
207	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	complemented
208	C₄⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
209	#127×C₄₇	C₂³	1	4	yes	—
210	#126×C₄₇	C₂³	1	4	yes	—
211	#126×C₄₇	C₂³	1	4	yes	—
212	#126×C₄₇	C₂³	1	8	yes	—
213	#126×C₄₇	C₂³	1	8	yes	—
214	#126×C₄₇	C₂³	1	8	yes	complemented
215	#126×C₄₇	C₂³	1	8	yes	complemented
216	#126×C₄₇	C₂³	1	8	yes	complemented
217	#126×C₄₇	C₂³	1	8	yes	complemented
218	#126×C₄₇	C₂³	1	4	yes	complemented
219	#126×C₄₇	C₂³	1	4	yes	complemented
220	#126×C₄₇	C₂³	1	8	yes	complemented
221	#126×C₄₇	C₂³	1	8	yes	complemented
222	#126×C₄₇	C₂³	1	8	yes	complemented
223	#126×C₄₇	C₂³	1	8	yes	complemented
224	#126×C₄₇	C₂³	1	4	yes	complemented
225	#126×C₄₇	C₂³	1	4	yes	complemented
226	#125×C₄₇	C₂³	1	4	yes	complemented
227	#125×C₄₇	C₂³	1	2	yes	complemented
228	#125×C₄₇	C₂³	1	2	yes	complemented
229	#125×C₄₇	C₂³	1	4	yes	complemented
230	#125×C₄₇	C₂³	1	4	yes	complemented
231	#125×C₄₇	C₂³	1	8	yes	complemented
232	#125×C₄₇	C₂³	1	8	yes	complemented
233	#125×C₄₇	C₂³	1	4	yes	complemented
234	#125×C₄₇	C₂³	1	4	yes	complemented
235	#125×C₄₇	C₂³	1	8	yes	complemented
236	#124×C₄₇	C₂³	1	4	yes	—
237	#124×C₄₇	C₂³	1	4	yes	—
238	#124×C₄₇	C₂³	1	8	yes	—
239	#124×C₄₇	C₂³	1	4	yes	—
240	#124×C₄₇	C₂³	1	4	yes	—
241	#124×C₄₇	C₂³	1	4	yes	—
242	#124×C₄₇	C₂³	1	8	yes	complemented
243	#124×C₄₇	C₂³	1	8	yes	complemented
244	#124×C₄₇	C₂³	1	4	yes	complemented
245	#124×C₄₇	C₂³	1	4	yes	complemented
246	#124×C₄₇	C₂³	1	8	yes	complemented
247	#124×C₄₇	C₂³	1	8	yes	complemented
248	#123×C₄₇	C₂³	1	4	yes	—
249	#123×C₄₇	C₂³	1	4	yes	—
250	#123×C₄₇	C₂³	1	4	yes	—
251	#123×C₄₇	C₂³	1	8	yes	—
252	#123×C₄₇	C₂³	1	8	yes	—
253	#123×C₄₇	C₂³	1	8	yes	—
254	#123×C₄₇	C₂³	1	8	yes	—
255	#123×C₄₇	C₂³	1	8	yes	—
256	#123×C₄₇	C₂³	1	4	yes	—
257	#123×C₄₇	C₂³	1	4	yes	—
258	#123×C₄₇	C₂³	1	8	yes	—
259	#123×C₄₇	C₂³	1	4	yes	—
260	#123×C₄₇	C₂³	1	8	yes	complemented
261	#123×C₄₇	C₂³	1	8	yes	complemented
262	#123×C₄₇	C₂³	1	8	yes	complemented
263	#123×C₄₇	C₂³	1	8	yes	complemented
264	#123×C₄₇	C₂³	1	8	yes	complemented
265	#123×C₄₇	C₂³	1	8	yes	complemented
266	#123×C₄₇	C₂³	1	4	yes	complemented
267	#123×C₄₇	C₂³	1	8	yes	complemented
268	#123×C₄₇	C₂³	1	8	yes	complemented
269	#123×C₄₇	C₂³	1	8	yes	complemented
270	#123×C₄₇	C₂³	1	4	yes	complemented
271	#123×C₄₇	C₂³	1	8	yes	complemented
272	#123×C₄₇	C₂³	1	8	yes	complemented
273	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	—
274	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	—
275	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
276	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	—
277	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	—
278	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	—
279	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
280	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	—
281	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	—
282	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
283	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
284	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
285	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
286	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	complemented
287	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
288	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
289	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
290	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
291	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	complemented
292	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
293	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
294	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
295	C₂²⋊Q₈×C₄₇	C₂³	1	4	yes	complemented
296	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
297	C₂²⋊Q₈×C₄₇	C₂³	1	8	yes	complemented
298	#121×C₄₇	C₂³	1	8	yes	—
299	#121×C₄₇	C₂³	1	4	yes	—
300	#121×C₄₇	C₂³	1	8	yes	—
301	#121×C₄₇	C₂³	1	4	yes	—
302	#121×C₄₇	C₂³	1	2	yes	—
303	#121×C₄₇	C₂³	1	2	yes	—
304	#121×C₄₇	C₂³	1	4	yes	—
305	#121×C₄₇	C₂³	1	8	yes	—
306	#121×C₄₇	C₂³	1	8	yes	—
307	#121×C₄₇	C₂³	1	4	yes	—
308	#121×C₄₇	C₂³	1	4	yes	—
309	#121×C₄₇	C₂³	1	4	yes	—
310	#121×C₄₇	C₂³	1	4	yes	—
311	#121×C₄₇	C₂³	1	2	yes	complemented
312	#121×C₄₇	C₂³	1	8	yes	complemented
313	#121×C₄₇	C₂³	1	8	yes	complemented
314	#121×C₄₇	C₂³	1	8	yes	complemented
315	#121×C₄₇	C₂³	1	8	yes	complemented
316	#121×C₄₇	C₂³	1	2	yes	complemented
317	#121×C₄₇	C₂³	1	8	yes	complemented
318	#120×C₄₇	C₂³	1	4	yes	—
319	#120×C₄₇	C₂³	1	8	yes	—
320	#120×C₄₇	C₂³	1	8	yes	—
321	#120×C₄₇	C₂³	1	8	yes	—
322	#120×C₄₇	C₂³	1	8	yes	—
323	#120×C₄₇	C₂³	1	8	yes	—
324	#120×C₄₇	C₂³	1	8	yes	—
325	#120×C₄₇	C₂³	1	4	yes	—
326	#120×C₄₇	C₂³	1	8	yes	complemented
327	C₄×Q₈×C₄₇	C₂³	1	2	yes	complemented
328	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
329	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
330	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
331	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
332	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
333	C₄×Q₈×C₄₇	C₂³	1	2	yes	complemented
334	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
335	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
336	C₄×Q₈×C₄₇	C₂³	1	8	yes	complemented
337	C₄×Q₈×C₄₇	C₂³	1	4	yes	complemented
338	C₄×D₄×C₄₇	C₂³	1	4	yes	—
339	C₄×D₄×C₄₇	C₂³	1	4	yes	—
340	C₄×D₄×C₄₇	C₂³	1	4	yes	—
341	C₄×D₄×C₄₇	C₂³	1	4	yes	—
342	C₄×D₄×C₄₇	C₂³	1	4	yes	—
343	C₄×D₄×C₄₇	C₂³	1	4	yes	—
344	C₄×D₄×C₄₇	C₂³	1	2	yes	—
345	C₄×D₄×C₄₇	C₂³	1	4	yes	—
346	C₄×D₄×C₄₇	C₂³	1	4	yes	—
347	C₄×D₄×C₄₇	C₂³	1	8	yes	—
348	C₄×D₄×C₄₇	C₂³	1	8	yes	—
349	C₄×D₄×C₄₇	C₂³	1	4	yes	—
350	C₄×D₄×C₄₇	C₂³	1	4	yes	—
351	C₄×D₄×C₄₇	C₂³	1	4	yes	—
352	C₄×D₄×C₄₇	C₂³	1	8	yes	—
353	C₄×D₄×C₄₇	C₂³	1	8	yes	—
354	C₄×D₄×C₄₇	C₂³	1	4	yes	—
355	C₄×D₄×C₄₇	C₂³	1	8	yes	—
356	C₄×D₄×C₄₇	C₂³	1	8	yes	—
357	C₄×D₄×C₄₇	C₂³	1	2	yes	—
358	C₄×D₄×C₄₇	C₂³	1	2	yes	—
359	C₄×D₄×C₄₇	C₂³	1	2	yes	—
360	C₄×D₄×C₄₇	C₂³	1	4	yes	—
361	C₄×D₄×C₄₇	C₂³	1	4	yes	—
362	C₄×D₄×C₄₇	C₂³	1	4	yes	—
363	C₄×D₄×C₄₇	C₂³	1	4	yes	—
364	C₄×D₄×C₄₇	C₂³	1	4	yes	—
365	C₄×D₄×C₄₇	C₂³	1	4	yes	—
366	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
367	C₄×D₄×C₄₇	C₂³	1	2	yes	complemented
368	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
369	C₄×D₄×C₄₇	C₂³	1	4	yes	complemented
370	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
371	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
372	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
373	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
374	C₄×D₄×C₄₇	C₂³	1	2	yes	complemented
375	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
376	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
377	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
378	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
379	C₄×D₄×C₄₇	C₂³	1	4	yes	complemented
380	C₄×D₄×C₄₇	C₂³	1	4	yes	complemented
381	C₄×D₄×C₄₇	C₂³	1	4	yes	complemented
382	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
383	C₄×D₄×C₄₇	C₂³	1	8	yes	complemented
384	#117×C₄₇	C₂³	1	4	yes	—
385	#117×C₄₇	C₂³	1	2	yes	—
386	#117×C₄₇	C₂³	1	4	yes	—
387	#117×C₄₇	C₂³	1	2	yes	—
388	#117×C₄₇	C₂³	1	2	yes	—
389	#117×C₄₇	C₂³	1	4	yes	—
390	#117×C₄₇	C₂³	1	4	yes	—
391	#117×C₄₇	C₂³	1	2	yes	—
392	#117×C₄₇	C₂³	1	2	yes	—
393	#117×C₄₇	C₂³	1	8	yes	—
394	#117×C₄₇	C₂³	1	8	yes	—
395	#117×C₄₇	C₂³	1	8	yes	complemented
396	#117×C₄₇	C₂³	1	2	yes	complemented
397	#117×C₄₇	C₂³	1	2	yes	complemented
398	#117×C₄₇	C₂³	1	4	yes	complemented
399	#117×C₄₇	C₂³	1	8	yes	complemented
400	#117×C₄₇	C₂³	1	8	yes	complemented
401	#117×C₄₇	C₂³	1	8	yes	complemented
402	#117×C₄₇	C₂³	1	4	yes	complemented
403	#117×C₄₇	C₂³	1	8	yes	complemented
404	#117×C₄₇	C₂³	1	4	yes	complemented
405	#117×C₄₇	C₂³	1	4	yes	complemented
406	#117×C₄₇	C₂³	1	4	yes	complemented
407	#117×C₄₇	C₂³	1	8	yes	complemented
408	#117×C₄₇	C₂³	1	8	yes	complemented
409	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
410	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
411	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
412	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
413	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
414	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
415	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
416	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	complemented
417	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	complemented
418	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
419	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
420	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
421	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
422	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
423	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
424	C₂×C₄⋊C₄×C₄₇	C₂³	1	4	yes	complemented
425	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
426	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
427	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
428	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
429	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
430	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
431	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
432	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
433	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
434	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	—
435	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
436	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
437	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
438	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
439	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
440	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
441	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
442	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
443	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
444	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
445	C₂×C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
446	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	—
447	C₂×C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
448	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	complemented
449	C₂×C₂²⋊C₄×C₄₇	C₂³	1	8	yes	complemented
450	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	complemented
451	C₂×C₂²⋊C₄×C₄₇	C₂³	1	4	yes	complemented
452	C₂×C₄²×C₄₇	C₂³	1	4	yes	—
453	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
454	C₂×C₄²×C₄₇	C₂³	1	4	yes	complemented
455	C₂×C₄²×C₄₇	C₂³	1	4	yes	complemented
456	C₂×C₄²×C₄₇	C₂³	1	4	yes	complemented
457	C₂×C₄²×C₄₇	C₂³	1	4	yes	complemented
458	C₂×C₄²×C₄₇	C₂³	1	4	yes	complemented
459	C₂⁴×C₄₇	—	2	8	no	—
460	C₂⁴×C₄₇	—	4	4	no	—
461	C₂⁴×C₄₇	—	8	2	no	—
462	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
463	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
464	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
465	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
466	C₂⁴×C₄₇	C₂⁴	1	1	yes	characteristic
467	C₂⁴×C₄₇	C₂⁴	1	4	yes	—
468	C₂⁴×C₄₇	C₂⁴	1	2	yes	—
469	#41×C₄₇	—	2	16	no	—
470	#41×C₄₇	—	2	16	no	—
471	#41×C₄₇	—	2	16	no	—
472	#41×C₄₇	—	2	8	no	—
473	#41×C₄₇	—	4	8	no	—
474	#41×C₄₇	—	8	8	no	—
475	C₂×Q₈×C₄₇	—	2	4	no	—
476	C₂×Q₈×C₄₇	—	8	4	no	—
477	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
478	C₂×Q₈×C₄₇	C₂⁴	1	2	yes	—
479	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
480	C₂×Q₈×C₄₇	C₂⁴	1	4	yes	—
481	C₂×Q₈×C₄₇	C₂⁴	1	8	yes	—
482	C₂×D₄×C₄₇	—	2	8	no	—
483	C₂×D₄×C₄₇	—	2	8	no	—
484	C₂×D₄×C₄₇	—	2	16	no	—
485	C₂×D₄×C₄₇	—	2	16	no	—
486	C₂×D₄×C₄₇	—	2	16	no	—
487	C₂×D₄×C₄₇	—	2	16	no	—
488	C₂×D₄×C₄₇	—	2	4	no	—
489	C₂×D₄×C₄₇	—	4	8	no	—
490	C₂×D₄×C₄₇	—	4	2	no	—
491	C₂×D₄×C₄₇	—	8	2	no	—
492	C₂×D₄×C₄₇	—	8	4	no	—
493	C₂×D₄×C₄₇	#41	1	8	yes	complemented
494	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
495	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
496	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
497	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
498	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
499	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
500	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
501	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
502	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
503	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
504	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
505	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
506	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
507	C₂×D₄×C₄₇	C₂⁴	1	8	yes	—
508	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
509	C₂×D₄×C₄₇	C₂⁴	1	4	yes	—
510	C₂²×C₄×C₄₇	—	2	8	no	—
511	C₂²×C₄×C₄₇	—	2	4	no	—
512	C₂²×C₄×C₄₇	—	2	4	no	—
513	C₂²×C₄×C₄₇	—	4	8	no	—
514	C₂²×C₄×C₄₇	—	8	2	no	—
515	C₂²×C₄×C₄₇	—	8	4	no	—
516	C₂²×C₄×C₄₇	—	8	4	no	—
517	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
519	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
521	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
522	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
523	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
525	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
526	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
528	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
529	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
532	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
533	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
534	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
535	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
536	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
537	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
538	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
539	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
540	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
541	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
542	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
543	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
544	C₂²×C₄×C₄₇	C₂⁴	1	4	yes	—
545	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
546	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
547	C₂²×C₄×C₄₇	C₂⁴	1	8	yes	—
548	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
549	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
550	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
551	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
552	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
553	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
554	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
555	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
556	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
557	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
558	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
559	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
560	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
561	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
562	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
563	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
564	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
565	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
566	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
567	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
568	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
569	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
570	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
571	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
572	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
573	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
574	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
575	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
576	C₄⋊C₄×C₄₇	C₂⁴	1	8	yes	—
577	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
578	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
579	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
580	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
581	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
582	C₄⋊C₄×C₄₇	C₂⁴	1	4	yes	—
583	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
584	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
585	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
586	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
587	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
588	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
589	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
590	C₂²⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
591	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
592	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
593	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
594	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
595	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
596	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
597	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
598	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
599	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
600	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
601	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
602	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
603	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
604	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
605	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
606	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
607	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
608	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
609	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
610	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
611	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
612	C₂²⋊C₄×C₄₇	C₂⁴	1	2	yes	—
613	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
614	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
615	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
616	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
617	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
618	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
619	C₂²⋊C₄×C₄₇	C₂⁴	1	8	yes	—
620	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
621	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
622	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
623	C₂²⋊C₄×C₄₇	C₂⁴	1	4	yes	—
624	C₄²×C₄₇	C₂⁴	1	4	yes	—
625	C₄²×C₄₇	C₂⁴	1	2	yes	—
626	C₄²×C₄₇	C₂⁴	1	4	yes	—
627	C₄²×C₄₇	C₂⁴	1	4	yes	—
628	C₄²×C₄₇	C₂⁴	1	4	yes	—
629	C₄²×C₄₇	C₂⁴	1	2	yes	—
630	C₄²×C₄₇	C₂⁴	1	4	yes	—
631	C₄²×C₄₇	C₂⁴	1	4	yes	—
632	C₄²×C₄₇	C₂⁴	1	4	yes	—
633	C₄²×C₄₇	C₂⁴	1	8	yes	—
634	C₄²×C₄₇	C₂⁴	1	8	yes	—
635	C₄²×C₄₇	C₂⁴	1	8	yes	—
636	C₄²×C₄₇	C₂⁴	1	4	yes	—
637	C₄²×C₄₇	C₂⁴	1	4	yes	—
638	C₂³×C₄₇	—	2	2	no	—
639	C₂³×C₄₇	—	2	8	no	—
640	C₂³×C₄₇	—	2	8	no	—
641	C₂³×C₄₇	—	2	2	no	—
642	C₂³×C₄₇	—	2	2	no	—
643	C₂³×C₄₇	—	2	8	no	—
644	C₂³×C₄₇	—	2	8	no	—
645	C₂³×C₄₇	—	2	4	no	—
646	C₂³×C₄₇	—	4	2	no	—
647	C₂³×C₄₇	—	4	4	no	—
648	C₂³×C₄₇	—	4	2	no	—
649	C₂³×C₄₇	—	4	1	no	—
650	C₂³×C₄₇	—	4	4	no	—
651	C₂³×C₄₇	—	4	4	no	—
652	C₂³×C₄₇	—	4	1	no	—
653	C₂³×C₄₇	—	4	1	no	—
654	C₂³×C₄₇	—	4	4	no	—
655	C₂³×C₄₇	—	4	2	no	—
656	C₂³×C₄₇	—	4	4	no	—
657	C₂³×C₄₇	—	4	2	no	—
658	C₂³×C₄₇	—	8	16	no	—
659	C₂³×C₄₇	C₂×#41	1	8	yes	—
660	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
661	C₂³×C₄₇	C₂⁵	1	4	yes	—
662	C₂³×C₄₇	C₂⁵	1	4	yes	—
663	C₂³×C₄₇	C₂⁵	1	2	yes	—
664	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
665	C₂³×C₄₇	C₂⁵	1	4	yes	—
666	C₂³×C₄₇	C₂⁵	1	1	yes	characteristic
667	Q₈×C₄₇	—	2	8	no	—
668	Q₈×C₄₇	—	2	4	no	—
669	Q₈×C₄₇	—	4	4	no	—
670	Q₈×C₄₇	—	4	8	no	—
671	Q₈×C₄₇	—	4	4	no	—
672	D₄×C₄₇	—	2	16	no	—
673	D₄×C₄₇	—	2	8	no	—
674	D₄×C₄₇	—	2	16	no	—
675	D₄×C₄₇	—	2	16	no	—
676	D₄×C₄₇	—	2	8	no	—
677	D₄×C₄₇	—	2	4	no	—
678	D₄×C₄₇	—	2	8	no	—
679	D₄×C₄₇	—	2	4	no	—
680	D₄×C₄₇	—	4	8	no	—
681	D₄×C₄₇	—	4	2	no	—
682	D₄×C₄₇	—	4	4	no	—
683	D₄×C₄₇	—	4	8	no	—
684	D₄×C₄₇	—	4	8	no	—
685	D₄×C₄₇	—	4	4	no	—
686	D₄×C₄₇	—	4	4	no	—
687	D₄×C₄₇	C₂×#41	1	16	yes	—
688	C₂×C₄×C₄₇	—	2	2	no	—
689	C₂×C₄×C₄₇	—	2	2	no	—
690	C₂×C₄×C₄₇	—	2	4	no	—
691	C₂×C₄×C₄₇	—	2	8	no	—
692	C₂×C₄×C₄₇	—	2	8	no	—
693	C₂×C₄×C₄₇	—	2	8	no	—
694	C₂×C₄×C₄₇	—	2	8	no	—
695	C₂×C₄×C₄₇	—	2	4	no	—
696	C₂×C₄×C₄₇	—	2	4	no	—
697	C₂×C₄×C₄₇	—	2	4	no	—
698	C₂×C₄×C₄₇	—	2	4	no	—
699	C₂×C₄×C₄₇	—	2	8	no	—
700	C₂×C₄×C₄₇	—	4	4	no	—
701	C₂×C₄×C₄₇	—	4	8	no	—
702	C₂×C₄×C₄₇	—	4	4	no	—
703	C₂×C₄×C₄₇	—	4	4	no	—
704	C₂×C₄×C₄₇	—	4	4	no	—
705	C₂×C₄×C₄₇	—	4	4	no	—
706	C₂×C₄×C₄₇	—	4	4	no	—
707	C₂×C₄×C₄₇	—	4	1	no	—
708	C₂×C₄×C₄₇	—	4	2	no	—
709	C₂×C₄×C₄₇	—	4	4	no	—
710	C₂×C₄×C₄₇	—	4	4	no	—
711	C₂×C₄×C₄₇	—	4	8	no	—
712	C₂×C₄×C₄₇	—	4	8	no	—
713	C₂×C₄×C₄₇	—	4	4	no	—
714	C₂×C₄×C₄₇	—	4	1	no	—
715	C₂×C₄×C₄₇	—	4	4	no	—
716	C₂×C₄×C₄₇	—	4	4	no	—
717	C₂×C₄×C₄₇	—	4	4	no	—
718	C₂×C₄×C₄₇	—	4	4	no	—
719	C₂×C₄×C₄₇	C₂×#41	1	4	yes	—
720	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
721	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
722	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
723	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
724	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
725	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
726	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
727	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
728	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
729	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
730	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
731	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
732	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
733	C₂×C₄×C₄₇	C₂⁵	1	4	yes	—
734	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
735	C₂×C₄×C₄₇	C₂⁵	1	2	yes	—
736	#62990	C₄₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
737	C₂²×C₄₇	—	2	1	no	—
738	C₂²×C₄₇	—	2	4	no	—
739	C₂²×C₄₇	—	2	1	no	—
740	C₂²×C₄₇	—	2	4	no	—
741	C₂²×C₄₇	—	2	1	no	—
742	C₂²×C₄₇	—	2	1	no	—
743	C₂²×C₄₇	—	2	2	no	—
744	C₂²×C₄₇	—	2	1	no	—
745	C₂²×C₄₇	—	2	4	no	—
746	C₂²×C₄₇	—	2	4	no	—
747	C₂²×C₄₇	—	2	2	no	—
748	C₂²×C₄₇	—	2	4	no	—
749	C₂²×C₄₇	—	2	4	no	—
750	C₂²×C₄₇	—	2	1	no	—
751	C₂²×C₄₇	—	2	4	no	—
752	C₂²×C₄₇	—	2	2	no	—
753	C₂²×C₄₇	—	2	4	no	—
754	C₂²×C₄₇	—	2	1	no	—
755	C₂²×C₄₇	—	4	8	no	—
756	C₂²×C₄₇	—	4	16	no	—
757	C₂²×C₄₇	—	4	4	no	—
758	C₂²×C₄₇	—	8	2	no	—
759	C₂²×C₄₇	—	8	8	no	—
760	C₂²×C₄₇	—	8	4	no	—
761	C₂²×C₄₇	—	8	8	no	—
762	C₂²×C₄₇	C₂²×#41	1	2	yes	—
763	C₂²×C₄₇	C₂²×#41	1	8	yes	—
764	C₂²×C₄₇	#585	1	2	yes	—
765	C₂²×C₄₇	C₂⁶	1	1	yes	characteristic
766	C₄×C₄₇	—	2	1	no	—
767	C₄×C₄₇	—	2	1	no	—
768	C₄×C₄₇	—	2	2	no	—
769	C₄×C₄₇	—	2	4	no	—
770	C₄×C₄₇	—	2	4	no	—
771	C₄×C₄₇	—	2	4	no	—
772	C₄×C₄₇	—	2	4	no	—
773	C₄×C₄₇	—	2	4	no	—
774	C₄×C₄₇	—	2	2	no	—
775	C₄×C₄₇	—	2	1	no	—
776	C₄×C₄₇	—	2	4	no	—
777	C₄×C₄₇	—	2	4	no	—
778	C₄×C₄₇	—	2	4	no	—
779	C₄×C₄₇	—	2	1	no	—
780	C₄×C₄₇	—	2	4	no	—
781	C₄×C₄₇	C₂²×#41	1	4	yes	—
782	#3521	C₂×C₄₇	1	4	yes	complemented
783	#3521	C₂×C₄₇	1	4	yes	complemented
784	#3520	C₂×C₄₇	1	4	yes	complemented
785	#3514	C₂×C₄₇	1	4	yes	complemented
786	#3513	C₂×C₄₇	1	4	yes	complemented
787	#3513	C₂×C₄₇	1	4	yes	complemented
788	#3510	C₂×C₄₇	1	2	yes	complemented
789	#3505	C₂×C₄₇	1	4	yes	complemented
790	#3501	C₂×C₄₇	1	1	yes	characteristic, complemented
791	#3495	C₂×C₄₇	1	2	yes	complemented
792	#3494	C₂×C₄₇	1	2	yes	complemented
793	#3491	C₂×C₄₇	1	4	yes	complemented
794	#3490	C₂×C₄₇	1	4	yes	complemented
795	#3485	C₂×C₄₇	1	1	yes	characteristic, complemented
796	#3484	C₂×C₄₇	1	1	yes	characteristic, complemented
797	#3481	C₂×C₄₇	1	4	yes	complemented
798	#3475	C₂×C₄₇	1	2	yes	complemented
799	#3475	C₂×C₄₇	1	4	yes	complemented
800	C₂×#551	C₂×C₄₇	1	4	yes	complemented
801	C₂×#546	C₂×C₄₇	1	1	yes	characteristic, complemented
802	C₄×H(5,𝔽₂)	C₂×C₄₇	1	1	yes	characteristic, complemented
803	#3428	C₂×C₄₇	1	1	yes	characteristic, complemented
804	C₂×#518	C₂×C₄₇	1	1	yes	characteristic, complemented
805	C₂×C₄₇	—	2	2	no	—
806	C₂×C₄₇	—	2	2	no	—
807	C₂×C₄₇	—	2	8	no	—
808	C₂×C₄₇	—	4	4	no	—
809	C₂×C₄₇	—	4	1	no	—
810	C₂×C₄₇	—	4	2	no	—
811	C₂×C₄₇	—	4	4	no	—
812	C₂×C₄₇	C₂³×#41	1	1	yes	characteristic
813	C₂×C₄₇	C₂×#585	1	1	yes	characteristic
814	C₂×C₄₇	H(7,𝔽₂)	1	1	yes	characteristic
815	C₂×H(5,𝔽₂)	C₂²×C₄₇	1	1	yes	characteristic
816	C₂²×#41	C₂²×C₄₇	1	1	yes	characteristic
817	C₂³×D₄	C₂²×C₄₇	1	1	yes	characteristic
818	#559	C₂²×C₄₇	1	4	yes	complemented
819	#559	C₂²×C₄₇	1	4	yes	complemented
820	#556	C₂²×C₄₇	1	2	yes	complemented
821	#556	C₂²×C₄₇	1	4	yes	complemented
822	#556	C₂²×C₄₇	1	4	yes	complemented
823	#556	C₂²×C₄₇	1	4	yes	complemented
824	#555	C₂²×C₄₇	1	2	yes	complemented
825	#555	C₂²×C₄₇	1	4	yes	complemented
826	#554	C₂²×C₄₇	1	2	yes	complemented
827	#554	C₂²×C₄₇	1	4	yes	complemented
828	#554	C₂²×C₄₇	1	4	yes	complemented
829	#554	C₂²×C₄₇	1	4	yes	complemented
830	#554	C₂²×C₄₇	1	4	yes	complemented
831	#553	C₂²×C₄₇	1	2	yes	complemented
832	#553	C₂²×C₄₇	1	2	yes	complemented
833	#553	C₂²×C₄₇	1	8	yes	complemented
834	#553	C₂²×C₄₇	1	4	yes	complemented
835	#553	C₂²×C₄₇	1	8	yes	complemented
836	#553	C₂²×C₄₇	1	4	yes	complemented
837	#553	C₂²×C₄₇	1	8	yes	complemented
838	#552	C₂²×C₄₇	1	2	yes	complemented
839	#552	C₂²×C₄₇	1	4	yes	complemented
840	#552	C₂²×C₄₇	1	4	yes	complemented
841	#552	C₂²×C₄₇	1	8	yes	complemented
842	#552	C₂²×C₄₇	1	2	yes	complemented
843	#552	C₂²×C₄₇	1	4	yes	complemented
844	#552	C₂²×C₄₇	1	8	yes	complemented
845	#552	C₂²×C₄₇	1	8	yes	complemented
846	#551	C₂²×C₄₇	1	4	yes	complemented
847	#551	C₂²×C₄₇	1	8	yes	complemented
848	#551	C₂²×C₄₇	1	8	yes	complemented
849	#551	C₂²×C₄₇	1	8	yes	complemented
850	#551	C₂²×C₄₇	1	8	yes	complemented
851	#551	C₂²×C₄₇	1	8	yes	complemented
852	#551	C₂²×C₄₇	1	8	yes	complemented
853	#551	C₂²×C₄₇	1	4	yes	complemented
854	#551	C₂²×C₄₇	1	8	yes	complemented
855	#551	C₂²×C₄₇	1	8	yes	complemented
856	#551	C₂²×C₄₇	1	8	yes	complemented
857	#551	C₂²×C₄₇	1	8	yes	complemented
858	#551	C₂²×C₄₇	1	8	yes	complemented
859	#551	C₂²×C₄₇	1	8	yes	complemented
860	D₄×Q₈	C₂²×C₄₇	1	4	yes	complemented
861	#548	C₂²×C₄₇	1	8	yes	complemented
862	#547	C₂²×C₄₇	1	2	yes	complemented
863	#547	C₂²×C₄₇	1	4	yes	complemented
864	#547	C₂²×C₄₇	1	4	yes	complemented
865	#547	C₂²×C₄₇	1	4	yes	complemented
866	#546	C₂²×C₄₇	1	4	yes	complemented
867	#546	C₂²×C₄₇	1	4	yes	complemented
868	#546	C₂²×C₄₇	1	4	yes	complemented
869	#546	C₂²×C₄₇	1	4	yes	complemented
870	#546	C₂²×C₄₇	1	4	yes	complemented
871	#546	C₂²×C₄₇	1	4	yes	complemented
872	#546	C₂²×C₄₇	1	4	yes	complemented
873	#546	C₂²×C₄₇	1	8	yes	complemented
874	#546	C₂²×C₄₇	1	8	yes	complemented
875	#546	C₂²×C₄₇	1	8	yes	complemented
876	#546	C₂²×C₄₇	1	4	yes	complemented
877	#546	C₂²×C₄₇	1	4	yes	complemented
878	D₄²	C₂²×C₄₇	1	4	yes	complemented
879	D₄²	C₂²×C₄₇	1	4	yes	complemented
880	#544	C₂²×C₄₇	1	2	yes	complemented
881	#543	C₂²×C₄₇	1	4	yes	complemented
882	#542	C₂²×C₄₇	1	4	yes	complemented
883	#542	C₂²×C₄₇	1	4	yes	complemented
884	#542	C₂²×C₄₇	1	4	yes	complemented
885	#542	C₂²×C₄₇	1	4	yes	complemented
886	#541	C₂²×C₄₇	1	4	yes	complemented
887	#540	C₂²×C₄₇	1	4	yes	complemented
888	#539	C₂²×C₄₇	1	8	yes	complemented
889	#539	C₂²×C₄₇	1	8	yes	complemented
890	#539	C₂²×C₄₇	1	8	yes	complemented
891	#538	C₂²×C₄₇	1	8	yes	complemented
892	#538	C₂²×C₄₇	1	8	yes	complemented
893	#538	C₂²×C₄₇	1	8	yes	complemented
894	#536	C₂²×C₄₇	1	2	yes	complemented
895	#535	C₂²×C₄₇	1	2	yes	—
896	#534	C₂²×C₄₇	1	4	yes	—
897	#534	C₂²×C₄₇	1	4	yes	complemented
898	#533	C₂²×C₄₇	1	4	yes	complemented
899	#533	C₂²×C₄₇	1	2	yes	complemented
900	#532	C₂²×C₄₇	1	4	yes	complemented
901	#529	C₂²×C₄₇	1	4	yes	complemented
902	#529	C₂²×C₄₇	1	4	yes	complemented
903	#529	C₂²×C₄₇	1	4	yes	complemented
904	#529	C₂²×C₄₇	1	4	yes	complemented
905	#529	C₂²×C₄₇	1	8	yes	complemented
906	#529	C₂²×C₄₇	1	8	yes	complemented
907	#529	C₂²×C₄₇	1	8	yes	complemented
908	#529	C₂²×C₄₇	1	4	yes	complemented
909	#529	C₂²×C₄₇	1	4	yes	complemented
910	#529	C₂²×C₄₇	1	4	yes	complemented
911	C₂×#126	C₂²×C₄₇	1	4	yes	complemented
912	C₂×#126	C₂²×C₄₇	1	4	yes	complemented
913	C₂×#124	C₂²×C₄₇	1	1	yes	characteristic, complemented
914	C₂×#124	C₂²×C₄₇	1	4	yes	complemented
915	#525	C₂²×C₄₇	1	2	yes	—
916	#525	C₂²×C₄₇	1	2	yes	complemented
917	#525	C₂²×C₄₇	1	8	yes	complemented
918	#525	C₂²×C₄₇	1	8	yes	complemented
919	#525	C₂²×C₄₇	1	8	yes	complemented
920	C₂×#123	C₂²×C₄₇	1	2	yes	complemented
921	C₂×#123	C₂²×C₄₇	1	4	yes	complemented
922	C₂×#123	C₂²×C₄₇	1	4	yes	complemented
923	C₂×#123	C₂²×C₄₇	1	4	yes	complemented
924	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	1	yes	characteristic, complemented
925	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	4	yes	complemented
926	C₂×C₂²⋊Q₈	C₂²×C₄₇	1	4	yes	complemented
927	C₂×#121	C₂²×C₄₇	1	1	yes	characteristic, complemented
928	C₂×#121	C₂²×C₄₇	1	2	yes	complemented
929	C₂×#120	C₂²×C₄₇	1	4	yes	—
930	C₂×#120	C₂²×C₄₇	1	2	yes	complemented
931	#520	C₂²×C₄₇	1	2	yes	complemented
932	#520	C₂²×C₄₇	1	4	yes	complemented
933	#520	C₂²×C₄₇	1	4	yes	complemented
934	#520	C₂²×C₄₇	1	4	yes	complemented
935	#519	C₂²×C₄₇	1	2	yes	complemented
936	#518	C₂²×C₄₇	1	1	yes	characteristic
937	#518	C₂²×C₄₇	1	1	yes	characteristic
938	#518	C₂²×C₄₇	1	1	yes	characteristic
939	#518	C₂²×C₄₇	1	4	yes	complemented
940	#518	C₂²×C₄₇	1	2	yes	complemented
941	#518	C₂²×C₄₇	1	4	yes	complemented
942	#518	C₂²×C₄₇	1	4	yes	complemented
943	#518	C₂²×C₄₇	1	4	yes	complemented
944	#518	C₂²×C₄₇	1	4	yes	complemented
945	#518	C₂²×C₄₇	1	4	yes	complemented
946	C₄×#41	C₂²×C₄₇	1	2	yes	complemented
947	C₄×#41	C₂²×C₄₇	1	4	yes	complemented
948	C₄×#41	C₂²×C₄₇	1	4	yes	complemented
949	C₄×#41	C₂²×C₄₇	1	4	yes	complemented
950	C₄×#41	C₂²×C₄₇	1	4	yes	complemented
951	C₂×C₄×D₄	C₂²×C₄₇	1	1	yes	characteristic
952	C₂×C₄×D₄	C₂²×C₄₇	1	4	yes	complemented
953	C₂×C₄×D₄	C₂²×C₄₇	1	4	yes	complemented
954	C₂×C₄×D₄	C₂²×C₄₇	1	1	yes	characteristic, complemented
955	C₂×C₄×D₄	C₂²×C₄₇	1	4	yes	complemented
956	C₂×C₄×D₄	C₂²×C₄₇	1	4	yes	complemented
957	C₂×C₄×D₄	C₂²×C₄₇	1	4	yes	complemented
958	C₂×#117	C₂²×C₄₇	1	2	yes	complemented
959	C₂×#117	C₂²×C₄₇	1	4	yes	complemented
960	C₂×#117	C₂²×C₄₇	1	2	yes	complemented
961	C₂×#117	C₂²×C₄₇	1	4	yes	complemented
962	C₂²×C₂²⋊C₄	C₂²×C₄₇	1	4	yes	complemented
963	C₂²×C₂²⋊C₄	C₂²×C₄₇	1	2	yes	complemented
964	C₄₇	#62990	1	1	yes	characteristic, direct product factor, Sylow
965	C₂⁵	C₂³×C₄₇	1	2	yes	—
966	H(5,𝔽₂)	—	2	8	no	—
967	C₂×#41	—	2	8	no	—
968	C₂×#41	C₂³×C₄₇	1	4	yes	—
969	C₂×#41	C₂³×C₄₇	1	2	yes	—
970	C₂×#41	C₂³×C₄₇	1	4	yes	—
971	C₂×#41	C₂³×C₄₇	1	4	yes	—
972	C₂×#41	C₂³×C₄₇	1	4	yes	—
973	C₂×#41	C₂³×C₄₇	1	8	yes	complemented
974	C₂²×Q₈	C₂³×C₄₇	1	1	yes	characteristic
975	C₂²×Q₈	C₂³×C₄₇	1	4	yes	complemented
976	C₂²×D₄	—	2	8	no	—
977	C₂²×D₄	C₂³×C₄₇	1	4	yes	—
978	C₂²×D₄	C₂³×C₄₇	1	4	yes	—
979	C₂²×D₄	C₂³×C₄₇	1	4	yes	—
980	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
981	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
982	C₂²×D₄	C₂³×C₄₇	1	1	yes	characteristic
983	C₂²×D₄	C₂³×C₄₇	1	4	yes	—
984	C₂²×D₄	C₂³×C₄₇	1	4	yes	—
985	C₂²×D₄	C₂³×C₄₇	1	1	yes	characteristic
986	C₂²×D₄	C₂³×C₄₇	1	4	yes	—
987	C₂²×D₄	C₂³×C₄₇	1	2	yes	—
988	C₂²×D₄	C₂³×C₄₇	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₄₇	1	2	yes	—
990	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
991	C₂³×C₄	C₂³×C₄₇	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₄₇	1	4	yes	—
993	C₂³×C₄	C₂³×C₄₇	1	2	yes	—
994	C₂³×C₄	C₂³×C₄₇	1	4	yes	—
995	C₂³×C₄	C₂³×C₄₇	1	4	yes	complemented
996	C₄⋊Q₈	C₂³×C₄₇	1	4	yes	complemented
997	C₄⋊Q₈	C₂³×C₄₇	1	4	yes	complemented
998	C₄⋊Q₈	C₂³×C₄₇	1	2	yes	complemented
999	C₄⋊Q₈	C₂³×C₄₇	1	2	yes	complemented
1000	C₄⋊Q₈	C₂³×C₄₇	1	4	yes	complemented
1001	#127	C₂³×C₄₇	1	4	yes	—
1002	#126	C₂³×C₄₇	1	4	yes	—
1003	#126	C₂³×C₄₇	1	4	yes	—
1004	#126	C₂³×C₄₇	1	8	yes	—
1005	#126	C₂³×C₄₇	1	8	yes	—
1006	#126	C₂³×C₄₇	1	8	yes	complemented
1007	#126	C₂³×C₄₇	1	8	yes	complemented
1008	#126	C₂³×C₄₇	1	8	yes	complemented
1009	#126	C₂³×C₄₇	1	8	yes	complemented
1010	#126	C₂³×C₄₇	1	4	yes	complemented
1011	#126	C₂³×C₄₇	1	4	yes	complemented
1012	#126	C₂³×C₄₇	1	8	yes	complemented
1013	#126	C₂³×C₄₇	1	8	yes	complemented
1014	#126	C₂³×C₄₇	1	8	yes	complemented
1015	#126	C₂³×C₄₇	1	8	yes	complemented
1016	#126	C₂³×C₄₇	1	4	yes	complemented
1017	#126	C₂³×C₄₇	1	4	yes	complemented
1018	#125	C₂³×C₄₇	1	4	yes	complemented
1019	#125	C₂³×C₄₇	1	2	yes	complemented
1020	#125	C₂³×C₄₇	1	2	yes	complemented
1021	#125	C₂³×C₄₇	1	4	yes	complemented
1022	#125	C₂³×C₄₇	1	4	yes	complemented
1023	#125	C₂³×C₄₇	1	8	yes	complemented
1024	#125	C₂³×C₄₇	1	8	yes	complemented
1025	#125	C₂³×C₄₇	1	4	yes	complemented
1026	#125	C₂³×C₄₇	1	4	yes	complemented
1027	#125	C₂³×C₄₇	1	8	yes	complemented
1028	#124	C₂³×C₄₇	1	4	yes	—
1029	#124	C₂³×C₄₇	1	4	yes	—
1030	#124	C₂³×C₄₇	1	8	yes	—
1031	#124	C₂³×C₄₇	1	4	yes	—
1032	#124	C₂³×C₄₇	1	4	yes	—
1033	#124	C₂³×C₄₇	1	4	yes	—
1034	#124	C₂³×C₄₇	1	8	yes	complemented
1035	#124	C₂³×C₄₇	1	8	yes	complemented
1036	#124	C₂³×C₄₇	1	4	yes	complemented
1037	#124	C₂³×C₄₇	1	4	yes	complemented
1038	#124	C₂³×C₄₇	1	8	yes	complemented
1039	#124	C₂³×C₄₇	1	8	yes	complemented
1040	#123	C₂³×C₄₇	1	4	yes	—
1041	#123	C₂³×C₄₇	1	4	yes	—
1042	#123	C₂³×C₄₇	1	4	yes	—
1043	#123	C₂³×C₄₇	1	8	yes	—
1044	#123	C₂³×C₄₇	1	8	yes	—
1045	#123	C₂³×C₄₇	1	8	yes	—
1046	#123	C₂³×C₄₇	1	8	yes	—
1047	#123	C₂³×C₄₇	1	8	yes	—
1048	#123	C₂³×C₄₇	1	4	yes	—
1049	#123	C₂³×C₄₇	1	4	yes	—
1050	#123	C₂³×C₄₇	1	8	yes	—
1051	#123	C₂³×C₄₇	1	4	yes	—
1052	#123	C₂³×C₄₇	1	8	yes	complemented
1053	#123	C₂³×C₄₇	1	8	yes	complemented
1054	#123	C₂³×C₄₇	1	8	yes	complemented
1055	#123	C₂³×C₄₇	1	8	yes	complemented
1056	#123	C₂³×C₄₇	1	8	yes	complemented
1057	#123	C₂³×C₄₇	1	8	yes	complemented
1058	#123	C₂³×C₄₇	1	4	yes	complemented
1059	#123	C₂³×C₄₇	1	8	yes	complemented
1060	#123	C₂³×C₄₇	1	8	yes	complemented
1061	#123	C₂³×C₄₇	1	8	yes	complemented
1062	#123	C₂³×C₄₇	1	4	yes	complemented
1063	#123	C₂³×C₄₇	1	8	yes	complemented
1064	#123	C₂³×C₄₇	1	8	yes	complemented
1065	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	—
1066	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	—
1067	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	—
1068	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	—
1069	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	—
1070	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	—
1071	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	—
1072	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	—
1073	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	—
1074	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1075	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1076	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1077	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1078	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	complemented
1079	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1080	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1081	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1082	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1083	C₂²⋊Q₈	C₂³×C₄₇	1	2	yes	complemented
1084	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	complemented
1085	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	complemented
1086	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	complemented
1087	C₂²⋊Q₈	C₂³×C₄₇	1	4	yes	complemented
1088	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1089	C₂²⋊Q₈	C₂³×C₄₇	1	8	yes	complemented
1090	#121	C₂³×C₄₇	1	8	yes	—
1091	#121	C₂³×C₄₇	1	4	yes	—
1092	#121	C₂³×C₄₇	1	8	yes	—
1093	#121	C₂³×C₄₇	1	4	yes	—
1094	#121	C₂³×C₄₇	1	2	yes	—
1095	#121	C₂³×C₄₇	1	2	yes	—
1096	#121	C₂³×C₄₇	1	4	yes	—
1097	#121	C₂³×C₄₇	1	8	yes	—
1098	#121	C₂³×C₄₇	1	8	yes	—
1099	#121	C₂³×C₄₇	1	4	yes	—
1100	#121	C₂³×C₄₇	1	4	yes	—
1101	#121	C₂³×C₄₇	1	4	yes	—
1102	#121	C₂³×C₄₇	1	4	yes	—
1103	#121	C₂³×C₄₇	1	2	yes	complemented
1104	#121	C₂³×C₄₇	1	8	yes	complemented
1105	#121	C₂³×C₄₇	1	8	yes	complemented
1106	#121	C₂³×C₄₇	1	8	yes	complemented
1107	#121	C₂³×C₄₇	1	8	yes	complemented
1108	#121	C₂³×C₄₇	1	2	yes	complemented
1109	#121	C₂³×C₄₇	1	8	yes	complemented
1110	#120	C₂³×C₄₇	1	4	yes	—
1111	#120	C₂³×C₄₇	1	8	yes	—
1112	#120	C₂³×C₄₇	1	8	yes	—
1113	#120	C₂³×C₄₇	1	8	yes	—
1114	#120	C₂³×C₄₇	1	8	yes	—
1115	#120	C₂³×C₄₇	1	8	yes	—
1116	#120	C₂³×C₄₇	1	8	yes	—
1117	#120	C₂³×C₄₇	1	4	yes	—
1118	#120	C₂³×C₄₇	1	8	yes	complemented
1119	C₄×Q₈	C₂³×C₄₇	1	2	yes	complemented
1120	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1121	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1122	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1123	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1124	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1125	C₄×Q₈	C₂³×C₄₇	1	2	yes	complemented
1126	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1127	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1128	C₄×Q₈	C₂³×C₄₇	1	8	yes	complemented
1129	C₄×Q₈	C₂³×C₄₇	1	4	yes	complemented
1130	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1131	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1132	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1133	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1134	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1135	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1136	C₄×D₄	C₂³×C₄₇	1	2	yes	—
1137	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1138	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1139	C₄×D₄	C₂³×C₄₇	1	8	yes	—
1140	C₄×D₄	C₂³×C₄₇	1	8	yes	—
1141	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1142	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1143	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1144	C₄×D₄	C₂³×C₄₇	1	8	yes	—
1145	C₄×D₄	C₂³×C₄₇	1	8	yes	—
1146	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1147	C₄×D₄	C₂³×C₄₇	1	8	yes	—
1148	C₄×D₄	C₂³×C₄₇	1	8	yes	—
1149	C₄×D₄	C₂³×C₄₇	1	2	yes	—
1150	C₄×D₄	C₂³×C₄₇	1	2	yes	—
1151	C₄×D₄	C₂³×C₄₇	1	2	yes	—
1152	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1153	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1154	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1155	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1156	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1157	C₄×D₄	C₂³×C₄₇	1	4	yes	—
1158	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1159	C₄×D₄	C₂³×C₄₇	1	2	yes	complemented
1160	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1161	C₄×D₄	C₂³×C₄₇	1	4	yes	complemented
1162	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1163	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1164	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1165	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1166	C₄×D₄	C₂³×C₄₇	1	2	yes	complemented
1167	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1168	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1169	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1170	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1171	C₄×D₄	C₂³×C₄₇	1	4	yes	complemented
1172	C₄×D₄	C₂³×C₄₇	1	4	yes	complemented
1173	C₄×D₄	C₂³×C₄₇	1	4	yes	complemented
1174	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1175	C₄×D₄	C₂³×C₄₇	1	8	yes	complemented
1176	#117	C₂³×C₄₇	1	4	yes	—
1177	#117	C₂³×C₄₇	1	2	yes	—
1178	#117	C₂³×C₄₇	1	4	yes	—
1179	#117	C₂³×C₄₇	1	2	yes	—
1180	#117	C₂³×C₄₇	1	2	yes	—
1181	#117	C₂³×C₄₇	1	4	yes	—
1182	#117	C₂³×C₄₇	1	4	yes	—
1183	#117	C₂³×C₄₇	1	2	yes	—
1184	#117	C₂³×C₄₇	1	2	yes	—
1185	#117	C₂³×C₄₇	1	8	yes	—
1186	#117	C₂³×C₄₇	1	8	yes	—
1187	#117	C₂³×C₄₇	1	8	yes	complemented
1188	#117	C₂³×C₄₇	1	2	yes	complemented
1189	#117	C₂³×C₄₇	1	2	yes	complemented
1190	#117	C₂³×C₄₇	1	4	yes	complemented
1191	#117	C₂³×C₄₇	1	8	yes	complemented
1192	#117	C₂³×C₄₇	1	8	yes	complemented
1193	#117	C₂³×C₄₇	1	8	yes	complemented
1194	#117	C₂³×C₄₇	1	4	yes	complemented
1195	#117	C₂³×C₄₇	1	8	yes	complemented
1196	#117	C₂³×C₄₇	1	4	yes	complemented
1197	#117	C₂³×C₄₇	1	4	yes	complemented
1198	#117	C₂³×C₄₇	1	4	yes	complemented
1199	#117	C₂³×C₄₇	1	8	yes	complemented
1200	#117	C₂³×C₄₇	1	8	yes	complemented
1201	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
1202	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
1203	C₂×C₄⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
1204	C₂×C₄⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
1205	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	—
1206	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1207	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1208	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	complemented
1209	C₂×C₄⋊C₄	C₂³×C₄₇	1	2	yes	complemented
1210	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1211	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1212	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1213	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1214	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1215	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1216	C₂×C₄⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1217	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1218	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
1219	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1220	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1221	C₂×C₂²⋊C₄	C₂³×C₄₇	1	8	yes	—
1222	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1223	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1224	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1225	C₂×C₂²⋊C₄	C₂³×C₄₇	1	8	yes	—
1226	C₂×C₂²⋊C₄	C₂³×C₄₇	1	8	yes	—
1227	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
1228	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
1229	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
1230	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1231	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1232	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1233	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1234	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1235	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1236	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
1237	C₂×C₂²⋊C₄	C₂³×C₄₇	1	1	yes	characteristic
1238	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	—
1239	C₂×C₂²⋊C₄	C₂³×C₄₇	1	2	yes	—
1240	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1241	C₂×C₂²⋊C₄	C₂³×C₄₇	1	8	yes	complemented
1242	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1243	C₂×C₂²⋊C₄	C₂³×C₄₇	1	4	yes	complemented
1244	C₂×C₄²	C₂³×C₄₇	1	4	yes	—
1245	C₂×C₄²	C₂³×C₄₇	1	1	yes	characteristic
1246	C₂×C₄²	C₂³×C₄₇	1	4	yes	complemented
1247	C₂×C₄²	C₂³×C₄₇	1	4	yes	complemented
1248	C₂×C₄²	C₂³×C₄₇	1	4	yes	complemented
1249	C₂×C₄²	C₂³×C₄₇	1	4	yes	complemented
1250	C₂×C₄²	C₂³×C₄₇	1	4	yes	complemented
1251	C₂⁴	—	2	8	no	—
1252	C₂⁴	—	4	4	no	—
1253	C₂⁴	—	8	2	no	—
1254	C₂⁴	C₂⁴×C₄₇	1	1	yes	characteristic
1255	C₂⁴	C₂⁴×C₄₇	1	4	yes	—
1256	C₂⁴	C₂⁴×C₄₇	1	4	yes	—
1257	C₂⁴	C₂⁴×C₄₇	1	2	yes	—
1258	C₂⁴	C₂⁴×C₄₇	1	1	yes	characteristic
1259	C₂⁴	C₂⁴×C₄₇	1	4	yes	—
1260	C₂⁴	C₂⁴×C₄₇	1	2	yes	—
1261	#41	—	2	16	no	—
1262	#41	—	2	16	no	—
1263	#41	—	2	16	no	—
1264	#41	—	2	8	no	—
1265	#41	—	4	8	no	—
1266	#41	—	8	8	no	—
1267	C₂×Q₈	—	2	4	no	—
1268	C₂×Q₈	—	8	4	no	—
1269	C₂×Q₈	C₂⁴×C₄₇	1	4	yes	—
1270	C₂×Q₈	C₂⁴×C₄₇	1	2	yes	—
1271	C₂×Q₈	C₂⁴×C₄₇	1	4	yes	—
1272	C₂×Q₈	C₂⁴×C₄₇	1	4	yes	—
1273	C₂×Q₈	C₂⁴×C₄₇	1	8	yes	—
1274	C₂×D₄	—	2	8	no	—
1275	C₂×D₄	—	2	8	no	—
1276	C₂×D₄	—	2	16	no	—
1277	C₂×D₄	—	2	16	no	—
1278	C₂×D₄	—	2	16	no	—
1279	C₂×D₄	—	2	16	no	—
1280	C₂×D₄	—	2	4	no	—
1281	C₂×D₄	—	4	8	no	—
1282	C₂×D₄	—	4	2	no	—
1283	C₂×D₄	—	8	2	no	—
1284	C₂×D₄	—	8	4	no	—
1285	C₂×D₄	#41×C₄₇	1	8	yes	complemented
1286	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1287	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
1288	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
1289	C₂×D₄	C₂⁴×C₄₇	1	8	yes	—
1290	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
1291	C₂×D₄	C₂⁴×C₄₇	1	8	yes	—
1292	C₂×D₄	C₂⁴×C₄₇	1	8	yes	—
1293	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1294	C₂×D₄	C₂⁴×C₄₇	1	2	yes	—
1295	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
1296	C₂×D₄	C₂⁴×C₄₇	1	8	yes	—
1297	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
1298	C₂×D₄	C₂⁴×C₄₇	1	8	yes	—
1299	C₂×D₄	C₂⁴×C₄₇	1	8	yes	—
1300	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
1301	C₂×D₄	C₂⁴×C₄₇	1	4	yes	—
1302	C₂²×C₄	—	2	8	no	—
1303	C₂²×C₄	—	2	4	no	—
1304	C₂²×C₄	—	2	4	no	—
1305	C₂²×C₄	—	4	8	no	—
1306	C₂²×C₄	—	8	2	no	—
1307	C₂²×C₄	—	8	4	no	—
1308	C₂²×C₄	—	8	4	no	—
1309	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1310	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1311	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1312	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1313	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1314	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1315	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1317	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1318	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1319	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1320	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1321	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1322	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1323	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1324	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1325	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1326	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1327	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1328	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1329	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1330	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1331	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1332	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1333	C₂²×C₄	C₂⁴×C₄₇	1	2	yes	—
1334	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1335	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1336	C₂²×C₄	C₂⁴×C₄₇	1	4	yes	—
1337	C₂²×C₄	C₂⁴×C₄₇	1	8	yes	—
1338	C₂²×C₄	C₂⁴×C₄₇	1	8	yes	—
1339	C₂²×C₄	C₂⁴×C₄₇	1	8	yes	—
1340	C₂²×C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1341	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1342	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1343	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1344	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1345	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1346	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1347	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1348	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1349	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1350	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1351	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1352	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1353	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1354	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1355	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1356	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1357	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1358	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1359	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1360	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1361	C₄⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1362	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1363	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1364	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1365	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1366	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1367	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1368	C₄⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1369	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1370	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1371	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1372	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1373	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1374	C₄⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1375	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1376	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1377	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1378	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1379	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1380	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1381	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1382	C₂²⋊C₄	C₂⁴×C₄₇	1	1	yes	characteristic
1383	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1384	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1385	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1386	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1387	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1388	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1389	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1390	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1391	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1392	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1393	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1394	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1395	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1396	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1397	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1398	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1399	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1400	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1401	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1402	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1403	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1404	C₂²⋊C₄	C₂⁴×C₄₇	1	2	yes	—
1405	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1406	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1407	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1408	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1409	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1410	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1411	C₂²⋊C₄	C₂⁴×C₄₇	1	8	yes	—
1412	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1413	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1414	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1415	C₂²⋊C₄	C₂⁴×C₄₇	1	4	yes	—
1416	C₄²	C₂⁴×C₄₇	1	4	yes	—
1417	C₄²	C₂⁴×C₄₇	1	2	yes	—
1418	C₄²	C₂⁴×C₄₇	1	4	yes	—
1419	C₄²	C₂⁴×C₄₇	1	4	yes	—
1420	C₄²	C₂⁴×C₄₇	1	4	yes	—
1421	C₄²	C₂⁴×C₄₇	1	2	yes	—
1422	C₄²	C₂⁴×C₄₇	1	4	yes	—
1423	C₄²	C₂⁴×C₄₇	1	4	yes	—
1424	C₄²	C₂⁴×C₄₇	1	4	yes	—
1425	C₄²	C₂⁴×C₄₇	1	8	yes	—
1426	C₄²	C₂⁴×C₄₇	1	8	yes	—
1427	C₄²	C₂⁴×C₄₇	1	8	yes	—
1428	C₄²	C₂⁴×C₄₇	1	4	yes	—
1429	C₄²	C₂⁴×C₄₇	1	4	yes	—
1430	C₂³	—	2	2	no	—
1431	C₂³	—	2	8	no	—
1432	C₂³	—	2	8	no	—
1433	C₂³	—	2	2	no	—
1434	C₂³	—	2	2	no	—
1435	C₂³	—	2	8	no	—
1436	C₂³	—	2	8	no	—
1437	C₂³	—	2	4	no	—
1438	C₂³	—	4	2	no	—
1439	C₂³	—	4	4	no	—
1440	C₂³	—	4	2	no	—
1441	C₂³	—	4	1	no	—
1442	C₂³	—	4	4	no	—
1443	C₂³	—	4	4	no	—
1444	C₂³	—	4	1	no	—
1445	C₂³	—	4	1	no	—
1446	C₂³	—	4	4	no	—
1447	C₂³	—	4	2	no	—
1448	C₂³	—	4	4	no	—
1449	C₂³	—	4	2	no	—
1450	C₂³	—	8	16	no	—
1451	C₂³	C₂×#41×C₄₇	1	8	yes	—
1452	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1453	C₂³	C₂⁵×C₄₇	1	4	yes	—
1454	C₂³	C₂⁵×C₄₇	1	4	yes	—
1455	C₂³	C₂⁵×C₄₇	1	2	yes	—
1456	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1457	C₂³	C₂⁵×C₄₇	1	4	yes	—
1458	C₂³	C₂⁵×C₄₇	1	1	yes	characteristic
1459	Q₈	—	2	8	no	—
1460	Q₈	—	2	4	no	—
1461	Q₈	—	4	4	no	—
1462	Q₈	—	4	8	no	—
1463	Q₈	—	4	4	no	—
1464	D₄	—	2	16	no	—
1465	D₄	—	2	8	no	—
1466	D₄	—	2	16	no	—
1467	D₄	—	2	16	no	—
1468	D₄	—	2	8	no	—
1469	D₄	—	2	4	no	—
1470	D₄	—	2	8	no	—
1471	D₄	—	2	4	no	—
1472	D₄	—	4	8	no	—
1473	D₄	—	4	2	no	—
1474	D₄	—	4	4	no	—
1475	D₄	—	4	8	no	—
1476	D₄	—	4	8	no	—
1477	D₄	—	4	4	no	—
1478	D₄	—	4	4	no	—
1479	D₄	C₂×#41×C₄₇	1	16	yes	—
1480	C₂×C₄	—	2	2	no	—
1481	C₂×C₄	—	2	2	no	—
1482	C₂×C₄	—	2	4	no	—
1483	C₂×C₄	—	2	8	no	—
1484	C₂×C₄	—	2	8	no	—
1485	C₂×C₄	—	2	8	no	—
1486	C₂×C₄	—	2	8	no	—
1487	C₂×C₄	—	2	4	no	—
1488	C₂×C₄	—	2	4	no	—
1489	C₂×C₄	—	2	4	no	—
1490	C₂×C₄	—	2	4	no	—
1491	C₂×C₄	—	2	8	no	—
1492	C₂×C₄	—	4	4	no	—
1493	C₂×C₄	—	4	8	no	—
1494	C₂×C₄	—	4	4	no	—
1495	C₂×C₄	—	4	4	no	—
1496	C₂×C₄	—	4	4	no	—
1497	C₂×C₄	—	4	4	no	—
1498	C₂×C₄	—	4	4	no	—
1499	C₂×C₄	—	4	1	no	—
1500	C₂×C₄	—	4	2	no	—
1501	C₂×C₄	—	4	4	no	—
1502	C₂×C₄	—	4	4	no	—
1503	C₂×C₄	—	4	8	no	—
1504	C₂×C₄	—	4	8	no	—
1505	C₂×C₄	—	4	4	no	—
1506	C₂×C₄	—	4	1	no	—
1507	C₂×C₄	—	4	4	no	—
1508	C₂×C₄	—	4	4	no	—
1509	C₂×C₄	—	4	4	no	—
1510	C₂×C₄	—	4	4	no	—
1511	C₂×C₄	C₂×#41×C₄₇	1	4	yes	—
1512	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1513	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1514	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1515	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1516	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1517	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1518	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1519	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1520	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1521	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1522	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1523	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1524	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1525	C₂×C₄	C₂⁵×C₄₇	1	4	yes	—
1526	C₂×C₄	C₂⁵×C₄₇	1	1	yes	characteristic
1527	C₂×C₄	C₂⁵×C₄₇	1	2	yes	—
1528	C₂²	—	2	1	no	—
1529	C₂²	—	2	4	no	—
1530	C₂²	—	2	1	no	—
1531	C₂²	—	2	4	no	—
1532	C₂²	—	2	1	no	—
1533	C₂²	—	2	1	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	1	no	—
1536	C₂²	—	2	4	no	—
1537	C₂²	—	2	4	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	4	no	—
1540	C₂²	—	2	4	no	—
1541	C₂²	—	2	1	no	—
1542	C₂²	—	2	4	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	2	4	no	—
1545	C₂²	—	2	1	no	—
1546	C₂²	—	4	8	no	—
1547	C₂²	—	4	4	no	—
1548	C₂²	—	4	16	no	—
1549	C₂²	—	8	4	no	—
1550	C₂²	—	8	8	no	—
1551	C₂²	—	8	2	no	—
1552	C₂²	—	8	8	no	—
1553	C₂²	C₂²×#41×C₄₇	1	2	yes	—
1554	C₂²	C₂²×#41×C₄₇	1	8	yes	—
1555	C₂²	C₄₇×#585	1	2	yes	—
1556	C₂²	C₂⁶×C₄₇	1	1	yes	characteristic
1557	C₄	—	2	1	no	—
1558	C₄	—	2	1	no	—
1559	C₄	—	2	2	no	—
1560	C₄	—	2	4	no	—
1561	C₄	—	2	4	no	—
1562	C₄	—	2	4	no	—
1563	C₄	—	2	4	no	—
1564	C₄	—	2	4	no	—
1565	C₄	—	2	2	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	4	no	—
1568	C₄	—	2	4	no	—
1569	C₄	—	2	4	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	4	no	—
1572	C₄	C₂²×#41×C₄₇	1	4	yes	—
1573	C₂	—	2	2	no	—
1574	C₂	—	2	2	no	—
1575	C₂	—	2	8	no	—
1576	C₂	—	4	1	no	—
1577	C₂	—	4	4	no	—
1578	C₂	—	4	4	no	—
1579	C₂	—	4	2	no	—
1580	C₂	C₂³×#41×C₄₇	1	1	yes	characteristic
1581	C₂	C₂×C₄₇×#585	1	1	yes	characteristic
1582	C₂	C₄₇×H(7,𝔽₂)	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×#3521	C₂	semidirect
2. C₄₇×#3521	C₂	semidirect
3. C₄₇×#3520	C₂	semidirect
4. C₄₇×#3514	C₂	semidirect
5. C₄₇×#3513	C₂	semidirect
6. C₄₇×#3513	C₂	semidirect
7. C₄₇×#3510	C₂	semidirect
8. C₄₇×#3505	C₂	semidirect
9. C₄₇×#3501	C₂	semidirect
10. C₄₇×#3495	C₂	semidirect
11. C₄₇×#3494	C₂	semidirect
12. C₄₇×#3491	C₂	semidirect
13. C₄₇×#3490	C₂	semidirect
14. C₄₇×#3485	C₂	semidirect
15. C₄₇×#3484	C₂	semidirect
16. C₄₇×#3481	C₂	semidirect
17. C₄₇×#3475	C₂	semidirect
18. C₄₇×#3475	C₂	semidirect
19. C₂×C₄₇×#551	C₂	semidirect
20. C₂×C₄₇×#546	C₂	semidirect
21. C₄×H(5,𝔽₂)×C₄₇	C₂	semidirect
22. C₄₇×#3428	C₂	semidirect
23. C₂×C₄₇×#518	C₂	semidirect
27. C₄₇×#559	C₂²	semidirect
28. C₄₇×#559	C₂²	semidirect
29. C₄₇×#556	C₂²	semidirect
30. C₄₇×#556	C₂²	semidirect
31. C₄₇×#556	C₂²	semidirect
32. C₄₇×#556	C₂²	semidirect
33. C₄₇×#555	C₂²	semidirect
34. C₄₇×#555	C₂²	semidirect
35. C₄₇×#554	C₂²	semidirect
36. C₄₇×#554	C₂²	semidirect
37. C₄₇×#554	C₂²	semidirect
38. C₄₇×#554	C₂²	semidirect
39. C₄₇×#554	C₂²	semidirect
40. C₄₇×#553	C₂²	semidirect
41. C₄₇×#553	C₂²	semidirect
42. C₄₇×#553	C₂²	semidirect
43. C₄₇×#553	C₂²	semidirect
44. C₄₇×#553	C₂²	semidirect
45. C₄₇×#553	C₂²	semidirect
46. C₄₇×#553	C₂²	semidirect
47. C₄₇×#552	C₂²	semidirect
48. C₄₇×#552	C₂²	semidirect
49. C₄₇×#552	C₂²	semidirect
50. C₄₇×#552	C₂²	semidirect
51. C₄₇×#552	C₂²	semidirect
52. C₄₇×#552	C₂²	semidirect
53. C₄₇×#552	C₂²	semidirect
54. C₄₇×#552	C₂²	semidirect
55. C₄₇×#551	C₂²	semidirect
56. C₄₇×#551	C₂²	semidirect
57. C₄₇×#551	C₂²	semidirect
58. C₄₇×#551	C₂²	semidirect
59. C₄₇×#551	C₂²	semidirect
60. C₄₇×#551	C₂²	semidirect
61. C₄₇×#551	C₂²	semidirect
62. C₄₇×#551	C₂²	semidirect
63. C₄₇×#551	C₂²	semidirect
64. C₄₇×#551	C₂²	semidirect
65. C₄₇×#551	C₂²	semidirect
66. C₄₇×#551	C₂²	semidirect
67. C₄₇×#551	C₂²	semidirect
68. C₄₇×#551	C₂²	semidirect
69. D₄×Q₈×C₄₇	C₂²	semidirect
70. C₄₇×#548	C₂²	semidirect
71. C₄₇×#547	C₂²	semidirect
72. C₄₇×#547	C₂²	semidirect
73. C₄₇×#547	C₂²	semidirect
74. C₄₇×#547	C₂²	semidirect
75. C₄₇×#546	C₂²	semidirect
76. C₄₇×#546	C₂²	semidirect
77. C₄₇×#546	C₂²	semidirect
78. C₄₇×#546	C₂²	semidirect
79. C₄₇×#546	C₂²	semidirect
80. C₄₇×#546	C₂²	semidirect
81. C₄₇×#546	C₂²	semidirect
82. C₄₇×#546	C₂²	semidirect
83. C₄₇×#546	C₂²	semidirect
84. C₄₇×#546	C₂²	semidirect
85. C₄₇×#546	C₂²	semidirect
86. C₄₇×#546	C₂²	semidirect
87. D₄²×C₄₇	C₂²	semidirect
88. D₄²×C₄₇	C₂²	semidirect
89. C₄₇×#544	C₂²	semidirect
90. C₄₇×#543	C₂²	semidirect
91. C₄₇×#542	C₂²	semidirect
92. C₄₇×#542	C₂²	semidirect
93. C₄₇×#542	C₂²	semidirect
94. C₄₇×#542	C₂²	semidirect
95. C₄₇×#541	C₂²	semidirect
96. C₄₇×#540	C₂²	semidirect
97. C₄₇×#539	C₂²	semidirect
98. C₄₇×#539	C₂²	semidirect
99. C₄₇×#539	C₂²	semidirect
100. C₄₇×#538	C₂²	semidirect
101. C₄₇×#538	C₂²	semidirect
102. C₄₇×#538	C₂²	semidirect
103. C₄₇×#536	C₂²	semidirect
106. C₄₇×#534	C₂²	semidirect
107. C₄₇×#533	C₂²	semidirect
108. C₄₇×#533	C₂²	semidirect
109. C₄₇×#532	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. C₄₇×#529	C₂²	semidirect
117. C₄₇×#529	C₂²	semidirect
118. C₄₇×#529	C₂²	semidirect
119. C₄₇×#529	C₂²	semidirect
120. C₂×#126×C₄₇	C₂²	semidirect
121. C₂×#126×C₄₇	C₂²	semidirect
122. C₂×#124×C₄₇	C₂²	semidirect
123. C₂×#124×C₄₇	C₂²	semidirect
125. C₄₇×#525	C₂²	semidirect
126. C₄₇×#525	C₂²	semidirect
127. C₄₇×#525	C₂²	semidirect
128. C₄₇×#525	C₂²	semidirect
129. C₂×#123×C₄₇	C₂²	semidirect
130. C₂×#123×C₄₇	C₂²	semidirect
131. C₂×#123×C₄₇	C₂²	semidirect
132. C₂×#123×C₄₇	C₂²	semidirect
133. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
134. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
135. C₂×C₂²⋊Q₈×C₄₇	C₂²	semidirect
136. C₂×#121×C₄₇	C₂²	semidirect
137. C₂×#121×C₄₇	C₂²	semidirect
139. C₂×#120×C₄₇	C₂²	semidirect
140. C₄₇×#520	C₂²	semidirect
141. C₄₇×#520	C₂²	semidirect
142. C₄₇×#520	C₂²	semidirect
143. C₄₇×#520	C₂²	semidirect
144. C₄₇×#519	C₂²	semidirect
148. C₄₇×#518	C₂²	semidirect
149. C₄₇×#518	C₂²	semidirect
150. C₄₇×#518	C₂²	semidirect
151. C₄₇×#518	C₂²	semidirect
152. C₄₇×#518	C₂²	semidirect
153. C₄₇×#518	C₂²	semidirect
154. C₄₇×#518	C₂²	semidirect
155. C₄×#41×C₄₇	C₂²	semidirect
156. C₄×#41×C₄₇	C₂²	semidirect
157. C₄×#41×C₄₇	C₂²	semidirect
158. C₄×#41×C₄₇	C₂²	semidirect
159. C₄×#41×C₄₇	C₂²	semidirect
161. C₂×C₄×D₄×C₄₇	C₂²	semidirect
162. C₂×C₄×D₄×C₄₇	C₂²	semidirect
163. C₂×C₄×D₄×C₄₇	C₂²	semidirect
164. C₂×C₄×D₄×C₄₇	C₂²	semidirect
165. C₂×C₄×D₄×C₄₇	C₂²	semidirect
166. C₂×C₄×D₄×C₄₇	C₂²	semidirect
167. C₂×#117×C₄₇	C₂²	semidirect
168. C₂×#117×C₄₇	C₂²	semidirect
169. C₂×#117×C₄₇	C₂²	semidirect
170. C₂×#117×C₄₇	C₂²	semidirect
171. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
172. C₂²×C₂²⋊C₄×C₄₇	C₂²	semidirect
181. C₂×#41×C₄₇	C₂³	semidirect
183. C₂²×Q₈×C₄₇	C₂³	semidirect
203. C₂³×C₄×C₄₇	C₂³	semidirect
204. C₄⋊Q₈×C₄₇	C₂³	semidirect
205. C₄⋊Q₈×C₄₇	C₂³	semidirect
206. C₄⋊Q₈×C₄₇	C₂³	semidirect
207. C₄⋊Q₈×C₄₇	C₂³	semidirect
208. C₄⋊Q₈×C₄₇	C₂³	semidirect
214. #126×C₄₇	C₂³	semidirect
215. #126×C₄₇	C₂³	semidirect
216. #126×C₄₇	C₂³	semidirect
217. #126×C₄₇	C₂³	semidirect
218. #126×C₄₇	C₂³	semidirect
219. #126×C₄₇	C₂³	semidirect
220. #126×C₄₇	C₂³	semidirect
221. #126×C₄₇	C₂³	semidirect
222. #126×C₄₇	C₂³	semidirect
223. #126×C₄₇	C₂³	semidirect
224. #126×C₄₇	C₂³	semidirect
225. #126×C₄₇	C₂³	semidirect
226. #125×C₄₇	C₂³	semidirect
227. #125×C₄₇	C₂³	semidirect
228. #125×C₄₇	C₂³	semidirect
229. #125×C₄₇	C₂³	semidirect
230. #125×C₄₇	C₂³	semidirect
231. #125×C₄₇	C₂³	semidirect
232. #125×C₄₇	C₂³	semidirect
233. #125×C₄₇	C₂³	semidirect
234. #125×C₄₇	C₂³	semidirect
235. #125×C₄₇	C₂³	semidirect
242. #124×C₄₇	C₂³	semidirect
243. #124×C₄₇	C₂³	semidirect
244. #124×C₄₇	C₂³	semidirect
245. #124×C₄₇	C₂³	semidirect
246. #124×C₄₇	C₂³	semidirect
247. #124×C₄₇	C₂³	semidirect
260. #123×C₄₇	C₂³	semidirect
261. #123×C₄₇	C₂³	semidirect
262. #123×C₄₇	C₂³	semidirect
263. #123×C₄₇	C₂³	semidirect
264. #123×C₄₇	C₂³	semidirect
265. #123×C₄₇	C₂³	semidirect
266. #123×C₄₇	C₂³	semidirect
267. #123×C₄₇	C₂³	semidirect
268. #123×C₄₇	C₂³	semidirect
269. #123×C₄₇	C₂³	semidirect
270. #123×C₄₇	C₂³	semidirect
271. #123×C₄₇	C₂³	semidirect
272. #123×C₄₇	C₂³	semidirect
282. C₂²⋊Q₈×C₄₇	C₂³	semidirect
283. C₂²⋊Q₈×C₄₇	C₂³	semidirect
284. C₂²⋊Q₈×C₄₇	C₂³	semidirect
285. C₂²⋊Q₈×C₄₇	C₂³	semidirect
286. C₂²⋊Q₈×C₄₇	C₂³	semidirect
287. C₂²⋊Q₈×C₄₇	C₂³	semidirect
288. C₂²⋊Q₈×C₄₇	C₂³	semidirect
289. C₂²⋊Q₈×C₄₇	C₂³	semidirect
290. C₂²⋊Q₈×C₄₇	C₂³	semidirect
291. C₂²⋊Q₈×C₄₇	C₂³	semidirect
292. C₂²⋊Q₈×C₄₇	C₂³	semidirect
293. C₂²⋊Q₈×C₄₇	C₂³	semidirect
294. C₂²⋊Q₈×C₄₇	C₂³	semidirect
295. C₂²⋊Q₈×C₄₇	C₂³	semidirect
296. C₂²⋊Q₈×C₄₇	C₂³	semidirect
297. C₂²⋊Q₈×C₄₇	C₂³	semidirect
311. #121×C₄₇	C₂³	semidirect
312. #121×C₄₇	C₂³	semidirect
313. #121×C₄₇	C₂³	semidirect
314. #121×C₄₇	C₂³	semidirect
315. #121×C₄₇	C₂³	semidirect
316. #121×C₄₇	C₂³	semidirect
317. #121×C₄₇	C₂³	semidirect
326. #120×C₄₇	C₂³	semidirect
327. C₄×Q₈×C₄₇	C₂³	semidirect
328. C₄×Q₈×C₄₇	C₂³	semidirect
329. C₄×Q₈×C₄₇	C₂³	semidirect
330. C₄×Q₈×C₄₇	C₂³	semidirect
331. C₄×Q₈×C₄₇	C₂³	semidirect
332. C₄×Q₈×C₄₇	C₂³	semidirect
333. C₄×Q₈×C₄₇	C₂³	semidirect
334. C₄×Q₈×C₄₇	C₂³	semidirect
335. C₄×Q₈×C₄₇	C₂³	semidirect
336. C₄×Q₈×C₄₇	C₂³	semidirect
337. C₄×Q₈×C₄₇	C₂³	semidirect
366. C₄×D₄×C₄₇	C₂³	semidirect
367. C₄×D₄×C₄₇	C₂³	semidirect
368. C₄×D₄×C₄₇	C₂³	semidirect
369. C₄×D₄×C₄₇	C₂³	semidirect
370. C₄×D₄×C₄₇	C₂³	semidirect
371. C₄×D₄×C₄₇	C₂³	semidirect
372. C₄×D₄×C₄₇	C₂³	semidirect
373. C₄×D₄×C₄₇	C₂³	semidirect
374. C₄×D₄×C₄₇	C₂³	semidirect
375. C₄×D₄×C₄₇	C₂³	semidirect
376. C₄×D₄×C₄₇	C₂³	semidirect
377. C₄×D₄×C₄₇	C₂³	semidirect
378. C₄×D₄×C₄₇	C₂³	semidirect
379. C₄×D₄×C₄₇	C₂³	semidirect
380. C₄×D₄×C₄₇	C₂³	semidirect
381. C₄×D₄×C₄₇	C₂³	semidirect
382. C₄×D₄×C₄₇	C₂³	semidirect
383. C₄×D₄×C₄₇	C₂³	semidirect
395. #117×C₄₇	C₂³	semidirect
396. #117×C₄₇	C₂³	semidirect
397. #117×C₄₇	C₂³	semidirect
398. #117×C₄₇	C₂³	semidirect
399. #117×C₄₇	C₂³	semidirect
400. #117×C₄₇	C₂³	semidirect
401. #117×C₄₇	C₂³	semidirect
402. #117×C₄₇	C₂³	semidirect
403. #117×C₄₇	C₂³	semidirect
404. #117×C₄₇	C₂³	semidirect
405. #117×C₄₇	C₂³	semidirect
406. #117×C₄₇	C₂³	semidirect
407. #117×C₄₇	C₂³	semidirect
408. #117×C₄₇	C₂³	semidirect
414. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
415. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
416. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
417. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
418. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
419. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
420. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
421. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
422. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
423. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
424. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
448. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
449. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
450. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
451. C₂×C₂²⋊C₄×C₄₇	C₂³	semidirect
454. C₂×C₄²×C₄₇	C₂³	semidirect
455. C₂×C₄²×C₄₇	C₂³	semidirect
456. C₂×C₄²×C₄₇	C₂³	semidirect
457. C₂×C₄²×C₄₇	C₂³	semidirect
458. C₂×C₄²×C₄₇	C₂³	semidirect
493. C₂×D₄×C₄₇	#41	semidirect
736. #62990	C₄₇	direct (N × H)
782. #3521	C₂×C₄₇	semidirect
783. #3521	C₂×C₄₇	semidirect
784. #3520	C₂×C₄₇	semidirect
785. #3514	C₂×C₄₇	semidirect
786. #3513	C₂×C₄₇	semidirect
787. #3513	C₂×C₄₇	semidirect
788. #3510	C₂×C₄₇	semidirect
789. #3505	C₂×C₄₇	semidirect
790. #3501	C₂×C₄₇	semidirect
791. #3495	C₂×C₄₇	semidirect
792. #3494	C₂×C₄₇	semidirect
793. #3491	C₂×C₄₇	semidirect
794. #3490	C₂×C₄₇	semidirect
795. #3485	C₂×C₄₇	semidirect
796. #3484	C₂×C₄₇	semidirect
797. #3481	C₂×C₄₇	semidirect
798. #3475	C₂×C₄₇	semidirect
799. #3475	C₂×C₄₇	semidirect
800. C₂×#551	C₂×C₄₇	semidirect
801. C₂×#546	C₂×C₄₇	semidirect
802. C₄×H(5,𝔽₂)	C₂×C₄₇	semidirect
803. #3428	C₂×C₄₇	semidirect
804. C₂×#518	C₂×C₄₇	semidirect
818. #559	C₂²×C₄₇	semidirect
819. #559	C₂²×C₄₇	semidirect
820. #556	C₂²×C₄₇	semidirect
821. #556	C₂²×C₄₇	semidirect
822. #556	C₂²×C₄₇	semidirect
823. #556	C₂²×C₄₇	semidirect
824. #555	C₂²×C₄₇	semidirect
825. #555	C₂²×C₄₇	semidirect
826. #554	C₂²×C₄₇	semidirect
827. #554	C₂²×C₄₇	semidirect
828. #554	C₂²×C₄₇	semidirect
829. #554	C₂²×C₄₇	semidirect
830. #554	C₂²×C₄₇	semidirect
831. #553	C₂²×C₄₇	semidirect
832. #553	C₂²×C₄₇	semidirect
833. #553	C₂²×C₄₇	semidirect
834. #553	C₂²×C₄₇	semidirect
835. #553	C₂²×C₄₇	semidirect
836. #553	C₂²×C₄₇	semidirect
837. #553	C₂²×C₄₇	semidirect
838. #552	C₂²×C₄₇	semidirect
839. #552	C₂²×C₄₇	semidirect
840. #552	C₂²×C₄₇	semidirect
841. #552	C₂²×C₄₇	semidirect
842. #552	C₂²×C₄₇	semidirect
843. #552	C₂²×C₄₇	semidirect
844. #552	C₂²×C₄₇	semidirect
845. #552	C₂²×C₄₇	semidirect
846. #551	C₂²×C₄₇	semidirect
847. #551	C₂²×C₄₇	semidirect
848. #551	C₂²×C₄₇	semidirect
849. #551	C₂²×C₄₇	semidirect
850. #551	C₂²×C₄₇	semidirect
851. #551	C₂²×C₄₇	semidirect
852. #551	C₂²×C₄₇	semidirect
853. #551	C₂²×C₄₇	semidirect
854. #551	C₂²×C₄₇	semidirect
855. #551	C₂²×C₄₇	semidirect
856. #551	C₂²×C₄₇	semidirect
857. #551	C₂²×C₄₇	semidirect
858. #551	C₂²×C₄₇	semidirect
859. #551	C₂²×C₄₇	semidirect
860. D₄×Q₈	C₂²×C₄₇	semidirect
861. #548	C₂²×C₄₇	semidirect
862. #547	C₂²×C₄₇	semidirect
863. #547	C₂²×C₄₇	semidirect
864. #547	C₂²×C₄₇	semidirect
865. #547	C₂²×C₄₇	semidirect
866. #546	C₂²×C₄₇	semidirect
867. #546	C₂²×C₄₇	semidirect
868. #546	C₂²×C₄₇	semidirect
869. #546	C₂²×C₄₇	semidirect
870. #546	C₂²×C₄₇	semidirect
871. #546	C₂²×C₄₇	semidirect
872. #546	C₂²×C₄₇	semidirect
873. #546	C₂²×C₄₇	semidirect
874. #546	C₂²×C₄₇	semidirect
875. #546	C₂²×C₄₇	semidirect
876. #546	C₂²×C₄₇	semidirect
877. #546	C₂²×C₄₇	semidirect
878. D₄²	C₂²×C₄₇	semidirect
879. D₄²	C₂²×C₄₇	semidirect
880. #544	C₂²×C₄₇	semidirect
881. #543	C₂²×C₄₇	semidirect
882. #542	C₂²×C₄₇	semidirect
883. #542	C₂²×C₄₇	semidirect
884. #542	C₂²×C₄₇	semidirect
885. #542	C₂²×C₄₇	semidirect
886. #541	C₂²×C₄₇	semidirect
887. #540	C₂²×C₄₇	semidirect
888. #539	C₂²×C₄₇	semidirect
889. #539	C₂²×C₄₇	semidirect
890. #539	C₂²×C₄₇	semidirect
891. #538	C₂²×C₄₇	semidirect
892. #538	C₂²×C₄₇	semidirect
893. #538	C₂²×C₄₇	semidirect
894. #536	C₂²×C₄₇	semidirect
897. #534	C₂²×C₄₇	semidirect
898. #533	C₂²×C₄₇	semidirect
899. #533	C₂²×C₄₇	semidirect
900. #532	C₂²×C₄₇	semidirect
901. #529	C₂²×C₄₇	semidirect
902. #529	C₂²×C₄₇	semidirect
903. #529	C₂²×C₄₇	semidirect
904. #529	C₂²×C₄₇	semidirect
905. #529	C₂²×C₄₇	semidirect
906. #529	C₂²×C₄₇	semidirect
907. #529	C₂²×C₄₇	semidirect
908. #529	C₂²×C₄₇	semidirect
909. #529	C₂²×C₄₇	semidirect
910. #529	C₂²×C₄₇	semidirect
911. C₂×#126	C₂²×C₄₇	semidirect
912. C₂×#126	C₂²×C₄₇	semidirect
913. C₂×#124	C₂²×C₄₇	semidirect
914. C₂×#124	C₂²×C₄₇	semidirect
916. #525	C₂²×C₄₇	semidirect
917. #525	C₂²×C₄₇	semidirect
918. #525	C₂²×C₄₇	semidirect
919. #525	C₂²×C₄₇	semidirect
920. C₂×#123	C₂²×C₄₇	semidirect
921. C₂×#123	C₂²×C₄₇	semidirect
922. C₂×#123	C₂²×C₄₇	semidirect
923. C₂×#123	C₂²×C₄₇	semidirect
924. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
925. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
926. C₂×C₂²⋊Q₈	C₂²×C₄₇	semidirect
927. C₂×#121	C₂²×C₄₇	semidirect
928. C₂×#121	C₂²×C₄₇	semidirect
930. C₂×#120	C₂²×C₄₇	semidirect
931. #520	C₂²×C₄₇	semidirect
932. #520	C₂²×C₄₇	semidirect
933. #520	C₂²×C₄₇	semidirect
934. #520	C₂²×C₄₇	semidirect
935. #519	C₂²×C₄₇	semidirect
939. #518	C₂²×C₄₇	semidirect
940. #518	C₂²×C₄₇	semidirect
941. #518	C₂²×C₄₇	semidirect
942. #518	C₂²×C₄₇	semidirect
943. #518	C₂²×C₄₇	semidirect
944. #518	C₂²×C₄₇	semidirect
945. #518	C₂²×C₄₇	semidirect
946. C₄×#41	C₂²×C₄₇	semidirect
947. C₄×#41	C₂²×C₄₇	semidirect
948. C₄×#41	C₂²×C₄₇	semidirect
949. C₄×#41	C₂²×C₄₇	semidirect
950. C₄×#41	C₂²×C₄₇	semidirect
952. C₂×C₄×D₄	C₂²×C₄₇	semidirect
953. C₂×C₄×D₄	C₂²×C₄₇	semidirect
954. C₂×C₄×D₄	C₂²×C₄₇	semidirect
955. C₂×C₄×D₄	C₂²×C₄₇	semidirect
956. C₂×C₄×D₄	C₂²×C₄₇	semidirect
957. C₂×C₄×D₄	C₂²×C₄₇	semidirect
958. C₂×#117	C₂²×C₄₇	semidirect
959. C₂×#117	C₂²×C₄₇	semidirect
960. C₂×#117	C₂²×C₄₇	semidirect
961. C₂×#117	C₂²×C₄₇	semidirect
962. C₂²×C₂²⋊C₄	C₂²×C₄₇	semidirect
963. C₂²×C₂²⋊C₄	C₂²×C₄₇	semidirect
964. C₄₇	#62990	direct (N × H)
973. C₂×#41	C₂³×C₄₇	semidirect
975. C₂²×Q₈	C₂³×C₄₇	semidirect
995. C₂³×C₄	C₂³×C₄₇	semidirect
996. C₄⋊Q₈	C₂³×C₄₇	semidirect
997. C₄⋊Q₈	C₂³×C₄₇	semidirect
998. C₄⋊Q₈	C₂³×C₄₇	semidirect
999. C₄⋊Q₈	C₂³×C₄₇	semidirect
1000. C₄⋊Q₈	C₂³×C₄₇	semidirect
1006. #126	C₂³×C₄₇	semidirect
1007. #126	C₂³×C₄₇	semidirect
1008. #126	C₂³×C₄₇	semidirect
1009. #126	C₂³×C₄₇	semidirect
1010. #126	C₂³×C₄₇	semidirect
1011. #126	C₂³×C₄₇	semidirect
1012. #126	C₂³×C₄₇	semidirect
1013. #126	C₂³×C₄₇	semidirect
1014. #126	C₂³×C₄₇	semidirect
1015. #126	C₂³×C₄₇	semidirect
1016. #126	C₂³×C₄₇	semidirect
1017. #126	C₂³×C₄₇	semidirect
1018. #125	C₂³×C₄₇	semidirect
1019. #125	C₂³×C₄₇	semidirect
1020. #125	C₂³×C₄₇	semidirect
1021. #125	C₂³×C₄₇	semidirect
1022. #125	C₂³×C₄₇	semidirect
1023. #125	C₂³×C₄₇	semidirect
1024. #125	C₂³×C₄₇	semidirect
1025. #125	C₂³×C₄₇	semidirect
1026. #125	C₂³×C₄₇	semidirect
1027. #125	C₂³×C₄₇	semidirect
1034. #124	C₂³×C₄₇	semidirect
1035. #124	C₂³×C₄₇	semidirect
1036. #124	C₂³×C₄₇	semidirect
1037. #124	C₂³×C₄₇	semidirect
1038. #124	C₂³×C₄₇	semidirect
1039. #124	C₂³×C₄₇	semidirect
1052. #123	C₂³×C₄₇	semidirect
1053. #123	C₂³×C₄₇	semidirect
1054. #123	C₂³×C₄₇	semidirect
1055. #123	C₂³×C₄₇	semidirect
1056. #123	C₂³×C₄₇	semidirect
1057. #123	C₂³×C₄₇	semidirect
1058. #123	C₂³×C₄₇	semidirect
1059. #123	C₂³×C₄₇	semidirect
1060. #123	C₂³×C₄₇	semidirect
1061. #123	C₂³×C₄₇	semidirect
1062. #123	C₂³×C₄₇	semidirect
1063. #123	C₂³×C₄₇	semidirect
1064. #123	C₂³×C₄₇	semidirect
1074. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1075. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1076. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1077. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1078. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1079. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1080. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1081. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1082. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1083. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1084. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1085. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1086. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1087. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1088. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1089. C₂²⋊Q₈	C₂³×C₄₇	semidirect
1103. #121	C₂³×C₄₇	semidirect
1104. #121	C₂³×C₄₇	semidirect
1105. #121	C₂³×C₄₇	semidirect
1106. #121	C₂³×C₄₇	semidirect
1107. #121	C₂³×C₄₇	semidirect
1108. #121	C₂³×C₄₇	semidirect
1109. #121	C₂³×C₄₇	semidirect
1118. #120	C₂³×C₄₇	semidirect
1119. C₄×Q₈	C₂³×C₄₇	semidirect
1120. C₄×Q₈	C₂³×C₄₇	semidirect
1121. C₄×Q₈	C₂³×C₄₇	semidirect
1122. C₄×Q₈	C₂³×C₄₇	semidirect
1123. C₄×Q₈	C₂³×C₄₇	semidirect
1124. C₄×Q₈	C₂³×C₄₇	semidirect
1125. C₄×Q₈	C₂³×C₄₇	semidirect
1126. C₄×Q₈	C₂³×C₄₇	semidirect
1127. C₄×Q₈	C₂³×C₄₇	semidirect
1128. C₄×Q₈	C₂³×C₄₇	semidirect
1129. C₄×Q₈	C₂³×C₄₇	semidirect
1158. C₄×D₄	C₂³×C₄₇	semidirect
1159. C₄×D₄	C₂³×C₄₇	semidirect
1160. C₄×D₄	C₂³×C₄₇	semidirect
1161. C₄×D₄	C₂³×C₄₇	semidirect
1162. C₄×D₄	C₂³×C₄₇	semidirect
1163. C₄×D₄	C₂³×C₄₇	semidirect
1164. C₄×D₄	C₂³×C₄₇	semidirect
1165. C₄×D₄	C₂³×C₄₇	semidirect
1166. C₄×D₄	C₂³×C₄₇	semidirect
1167. C₄×D₄	C₂³×C₄₇	semidirect
1168. C₄×D₄	C₂³×C₄₇	semidirect
1169. C₄×D₄	C₂³×C₄₇	semidirect
1170. C₄×D₄	C₂³×C₄₇	semidirect
1171. C₄×D₄	C₂³×C₄₇	semidirect
1172. C₄×D₄	C₂³×C₄₇	semidirect
1173. C₄×D₄	C₂³×C₄₇	semidirect
1174. C₄×D₄	C₂³×C₄₇	semidirect
1175. C₄×D₄	C₂³×C₄₇	semidirect
1187. #117	C₂³×C₄₇	semidirect
1188. #117	C₂³×C₄₇	semidirect
1189. #117	C₂³×C₄₇	semidirect
1190. #117	C₂³×C₄₇	semidirect
1191. #117	C₂³×C₄₇	semidirect
1192. #117	C₂³×C₄₇	semidirect
1193. #117	C₂³×C₄₇	semidirect
1194. #117	C₂³×C₄₇	semidirect
1195. #117	C₂³×C₄₇	semidirect
1196. #117	C₂³×C₄₇	semidirect
1197. #117	C₂³×C₄₇	semidirect
1198. #117	C₂³×C₄₇	semidirect
1199. #117	C₂³×C₄₇	semidirect
1200. #117	C₂³×C₄₇	semidirect
1206. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1207. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1208. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1209. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1210. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1211. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1212. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1213. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1214. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1215. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1216. C₂×C₄⋊C₄	C₂³×C₄₇	semidirect
1240. C₂×C₂²⋊C₄	C₂³×C₄₇	semidirect
1241. C₂×C₂²⋊C₄	C₂³×C₄₇	semidirect
1242. C₂×C₂²⋊C₄	C₂³×C₄₇	semidirect
1243. C₂×C₂²⋊C₄	C₂³×C₄₇	semidirect
1246. C₂×C₄²	C₂³×C₄₇	semidirect
1247. C₂×C₄²	C₂³×C₄₇	semidirect
1248. C₂×C₄²	C₂³×C₄₇	semidirect
1249. C₂×C₄²	C₂³×C₄₇	semidirect
1250. C₂×C₄²	C₂³×C₄₇	semidirect
1285. C₂×D₄	#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×#3521	2
C₄₇×#3520	2
C₄₇×#3514	2
C₄₇×#3513	2
C₄₇×#3510	2
C₄₇×#3505	2
C₄₇×#3501	2
C₄₇×#3495	2
C₄₇×#3494	2
C₄₇×#3491	2
C₄₇×#3490	2
C₄₇×#3485	2
C₄₇×#3484	2
C₄₇×#3481	2
C₄₇×#3475	2
C₂×C₄₇×#551	2
C₂×C₄₇×#546	2
C₄×H(5,𝔽₂)×C₄₇	2
C₄₇×#3428	2
C₂×C₄₇×#518	2
#62990	47

Subgroups — C47×#62990 #26102688

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₇×#62990 #26102688