Subgroups — #20257059

Order 6016.

1522 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#13094071	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#10625352	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×Dic₉₄	C₂	1	1	yes	maximal, characteristic, complemented
4	#15689786	C₂	1	1	yes	maximal, characteristic, complemented
5	#15689781	C₂	1	1	yes	maximal, characteristic, complemented
6	#15689779	C₂	1	1	yes	maximal, characteristic, complemented
7	#15689777	C₂	1	1	yes	maximal, characteristic, complemented
8	#15689773	C₂	1	2	yes	maximal, complemented
9	#15689772	C₂	1	1	yes	maximal, characteristic, complemented
10	#15689771	C₂	1	2	yes	maximal, complemented
11	#15689767	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689763	C₂	1	2	yes	maximal, complemented
13	#15689760	C₂	1	2	yes	maximal, complemented
14	#15689702	C₂	1	1	yes	maximal, characteristic, complemented
15	#15689700	C₂	1	2	yes	maximal, complemented
16	#15689695	C₂	1	2	yes	maximal, complemented
17	#15689693	C₂	1	1	yes	maximal, characteristic, complemented
18	#15689632	C₂	1	1	yes	maximal, characteristic, complemented
19	#15689629	C₂	1	2	yes	maximal, complemented
20	C₂×#13094001	C₂	1	2	yes	maximal, complemented
21	C₂²⋊Q₈×D₄₇	C₂	1	1	yes	maximal, characteristic, complemented
22	#15689602	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#546	C₂	1	1	yes	maximal, characteristic, complemented
24	#13094071	—	2	8	no	—
25	C₂×#10625350	C₂²	1	2	yes	complemented
26	C₂×#10625350	C₂²	1	1	yes	characteristic, complemented
27	C₂×#10625352	—	2	8	no	—
28	C₂×#10625352	C₂²	1	2	yes	—
29	C₂×#10625352	C₂²	1	1	yes	characteristic
30	C₂×#10625352	C₂²	1	1	yes	characteristic
31	C₂×#10625352	C₂²	1	1	yes	characteristic
32	C₂×#10625352	C₂²	1	2	yes	—
33	C₂×#10625352	C₂²	1	1	yes	characteristic
34	C₂×#10625352	C₂²	1	2	yes	complemented
35	C₂×#10625352	C₂²	1	1	yes	characteristic, complemented
36	C₂×#10625352	C₂²	1	2	yes	complemented
37	C₂²×Dic₉₄	C₂²	1	1	yes	characteristic
38	C₂²×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
39	C₂²×Dic₉₄	C₂²	1	2	yes	complemented
40	C₂×Q₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
41	C₂×Q₈×D₄₇	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₂²⋊D₄₇	C₂²	1	2	yes	—
43	C₂³×Dic₄₇	C₂²	1	2	yes	—
44	C₂²×C₄×D₄₇	C₂²	1	1	yes	characteristic
45	#13094024	C₂²	1	1	yes	characteristic, complemented
46	#13094023	C₂²	1	2	yes	complemented
47	#13094023	C₂²	1	2	yes	complemented
48	#13094022	C₂²	1	1	yes	characteristic, complemented
49	#13094011	C₂²	1	1	yes	characteristic, complemented
50	#13094010	C₂²	1	2	yes	complemented
51	#13094010	C₂²	1	2	yes	complemented
52	#13094009	C₂²	1	1	yes	characteristic, complemented
53	#13094008	C₂²	1	2	yes	complemented
54	#13094008	C₂²	1	2	yes	complemented
55	#13094007	C₂²	1	2	yes	complemented
56	#13094006	C₂²	1	2	yes	complemented
57	#13094006	C₂²	1	2	yes	complemented
58	#13094006	C₂²	1	1	yes	characteristic, complemented
59	#13094005	C₂²	1	2	yes	complemented
60	#13094005	C₂²	1	2	yes	complemented
61	#13094004	C₂²	1	1	yes	characteristic, complemented
62	#13094004	C₂²	1	1	yes	characteristic, complemented
63	#13094003	C₂²	1	1	yes	characteristic
64	#13094003	C₂²	1	1	yes	characteristic, complemented
65	#13094002	C₂²	1	2	yes	complemented
66	#13094002	C₂²	1	2	yes	complemented
67	#13094002	C₂²	1	1	yes	characteristic, complemented
68	#13094001	C₂²	1	2	yes	—
69	#13094001	C₂²	1	2	yes	—
70	#13094001	C₂²	1	2	yes	—
71	#13094001	C₂²	1	1	yes	characteristic
72	#13094001	C₂²	1	2	yes	complemented
73	#13094001	C₂²	1	2	yes	complemented
74	#13094001	C₂²	1	2	yes	complemented
75	#13094001	C₂²	1	2	yes	complemented
76	#13094001	C₂²	1	2	yes	complemented
77	#13094001	C₂²	1	2	yes	complemented
78	#13094000	C₂²	1	1	yes	characteristic, complemented
79	#13093998	C₂²	1	2	yes	complemented
80	#13093997	C₂²	1	2	yes	complemented
81	#13093997	C₂²	1	2	yes	complemented
82	#13093997	C₂²	1	1	yes	characteristic, complemented
83	#13093996	C₂²	1	1	yes	characteristic
84	#13093996	C₂²	1	2	yes	complemented
85	#13093996	C₂²	1	2	yes	complemented
86	#13093996	C₂²	1	2	yes	complemented
87	#13093996	C₂²	1	2	yes	complemented
88	#13093995	C₂²	1	2	yes	complemented
89	#13093995	C₂²	1	1	yes	characteristic, complemented
90	#13093994	C₂²	1	1	yes	characteristic
91	#13093993	C₂²	1	2	yes	—
92	#13093992	C₂²	1	1	yes	characteristic
93	C₄×Dic₉₄	C₂²	1	1	yes	characteristic, complemented
94	#13093989	C₂²	1	1	yes	characteristic, complemented
95	C₄×D₁₈₈	C₂²	1	1	yes	characteristic, complemented
96	D₄×Dic₄₇	C₂²	1	2	yes	—
97	D₄×Dic₄₇	C₂²	1	1	yes	characteristic, complemented
98	D₄×Dic₄₇	C₂²	1	2	yes	complemented
99	C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic
100	C₄×C₂²⋊D₄₇	C₂²	1	2	yes	complemented
101	C₄×C₂²⋊D₄₇	C₂²	1	1	yes	characteristic, complemented
102	(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	—
103	(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
104	(C₂²⋊D₄₇)⋊C₄	C₂²	1	2	yes	complemented
105	#13093981	C₂²	1	1	yes	characteristic, complemented
106	#13093980	C₂²	1	2	yes	complemented
107	C₂×C₄⋊Dic₄₇	C₂²	1	2	yes	complemented
108	C₂×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
109	C₂×Dic₄₇⋊C₄	C₂²	1	2	yes	complemented
110	C₄⋊C₄×D₄₇	C₂²	1	2	yes	complemented
111	C₄⋊C₄×D₄₇	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₂²⋊Dic₄₇	C₂²	1	2	yes	—
113	C₂²⋊C₄×D₄₇	C₂²	1	2	yes	—
114	C₂×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
115	C₂²×D₄×C₄₇	C₂²	1	1	yes	characteristic
116	#124×C₄₇	C₂²	1	1	yes	characteristic, complemented
117	#123×C₄₇	C₂²	1	2	yes	complemented
118	C₂²⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
119	#121×C₄₇	C₂²	1	2	yes	complemented
120	#121×C₄₇	C₂²	1	1	yes	characteristic, complemented
121	#120×C₄₇	C₂²	1	2	yes	—
122	C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
123	C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₂²⋊C₄×C₄₇	C₂²	1	2	yes	—
125	C₂⁴×C₄₇	C₂³	1	2	yes	—
126	C₂³×D₄₇	C₂³	1	1	yes	characteristic
127	#41×C₄₇	—	2	4	no	—
128	C₂×Q₈×C₄₇	C₂³	1	1	yes	characteristic
129	C₂×D₄×C₄₇	—	2	4	no	—
130	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
131	C₂×D₄×C₄₇	C₂³	1	2	yes	—
132	C₂×D₄×C₄₇	C₂³	1	2	yes	—
133	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
134	C₂×D₄×C₄₇	C₂³	1	2	yes	—
135	C₂×D₄×C₄₇	C₂³	1	1	yes	characteristic
136	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
137	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
138	C₂²×C₄×C₄₇	C₂³	1	1	yes	characteristic
139	C₂²×C₄×C₄₇	C₂³	1	2	yes	—
140	C₂×C₂²⋊D₄₇	—	2	8	no	—
141	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
142	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
143	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
144	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
145	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
146	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
147	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
148	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
149	C₂×C₂²⋊D₄₇	C₂³	1	1	yes	characteristic
150	C₂×C₂²⋊D₄₇	C₂³	1	2	yes	—
151	C₂²×Dic₄₇	—	2	8	no	—
152	C₂²×Dic₄₇	C₂³	1	2	yes	—
153	C₂²×Dic₄₇	C₂³	1	2	yes	—
154	C₂²×Dic₄₇	C₂³	1	2	yes	—
155	C₂²×Dic₄₇	C₂³	1	2	yes	—
156	C₂²×Dic₄₇	C₂³	1	2	yes	—
157	C₂²×Dic₄₇	C₂³	1	1	yes	characteristic
158	C₂²×Dic₄₇	C₂³	1	2	yes	—
159	C₂²×Dic₄₇	C₂³	1	2	yes	—
160	C₂²×Dic₄₇	C₂³	1	2	yes	—
161	Q₈×D₄₇	—	2	4	no	—
162	Q₈×D₄₇	—	2	4	no	—
163	#10625352	—	2	4	no	—
164	#10625352	—	2	4	no	—
165	#10625352	—	2	8	no	—
166	#10625352	—	2	8	no	—
167	#10625352	—	2	8	no	—
168	#10625352	—	2	8	no	—
169	#10625352	—	2	4	no	—
170	#10625352	—	2	4	no	—
171	#10625352	D₄	1	8	yes	complemented
172	#10625350	—	2	8	no	—
173	#10625350	—	2	4	no	—
174	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
175	C₂×D₁₈₈	C₂³	1	1	yes	characteristic
176	C₂×C₄×D₄₇	—	2	4	no	—
177	C₂×C₄×D₄₇	C₂³	1	2	yes	—
178	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
179	C₂×C₄×D₄₇	C₂³	1	2	yes	—
180	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
181	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
182	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
183	C₂×C₄×D₄₇	C₂³	1	2	yes	—
184	C₂×C₄×D₄₇	C₂³	1	1	yes	characteristic
185	C₂×Dic₉₄	—	2	8	no	—
186	C₂×Dic₉₄	—	2	4	no	—
187	C₂×Dic₉₄	—	2	4	no	—
188	C₂×Dic₉₄	C₂³	1	2	yes	—
189	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
190	C₂×Dic₉₄	C₂³	1	2	yes	—
191	C₂×Dic₉₄	C₂³	1	2	yes	—
192	C₂×Dic₉₄	C₂³	1	2	yes	—
193	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
194	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
195	C₂×Dic₉₄	C₂³	1	1	yes	characteristic
196	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
197	C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
198	C₄⋊C₄×C₄₇	C₂³	1	2	yes	—
199	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
200	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
201	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
202	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
203	C₂²⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
204	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
205	C₂²⋊C₄×C₄₇	C₂³	1	2	yes	—
206	C₄²×C₄₇	C₂³	1	1	yes	characteristic
207	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
208	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
209	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
210	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
211	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
212	C₂²⋊Dic₄₇	C₂³	1	1	yes	characteristic
213	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
214	C₂²⋊Dic₄₇	C₂³	1	2	yes	—
215	(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
216	(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
217	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
218	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
219	(C₂×D₄₇)⋊C₄	C₂³	1	2	yes	—
220	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
221	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
222	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
223	(C₂×D₄₇)⋊C₄	C₂³	1	1	yes	characteristic
224	C₄⋊Dic₄₇	C₂³	1	2	yes	—
225	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
226	C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
227	C₄⋊Dic₄₇	C₂³	1	2	yes	—
228	C₄⋊Dic₄₇	C₂³	1	2	yes	—
229	C₄⋊Dic₄₇	C₂³	1	2	yes	—
230	Dic₄₇⋊C₄	C₂³	1	2	yes	—
231	Dic₄₇⋊C₄	C₂³	1	2	yes	—
232	Dic₄₇⋊C₄	C₂³	1	2	yes	—
233	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
234	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
235	Dic₄₇⋊C₄	C₂³	1	2	yes	—
236	Dic₄₇⋊C₄	C₂³	1	2	yes	—
237	Dic₄₇⋊C₄	C₂³	1	2	yes	—
238	Dic₄₇⋊C₄	C₂³	1	2	yes	—
239	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
240	Dic₄₇⋊C₄	C₂³	1	2	yes	—
241	Dic₄₇⋊C₄	C₂³	1	1	yes	characteristic
242	C₄×Dic₄₇	C₂³	1	2	yes	—
243	C₄×Dic₄₇	C₂³	1	2	yes	—
244	C₄×Dic₄₇	C₂³	1	1	yes	characteristic
245	C₂³×C₄₇	—	2	4	no	—
246	C₂³×C₄₇	—	2	4	no	—
247	C₂³×C₄₇	—	4	2	no	—
248	C₂³×C₄₇	C₂⁴	1	2	yes	—
249	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
250	C₂³×C₄₇	C₂⁴	1	2	yes	—
251	C₂³×C₄₇	C₂⁴	1	1	yes	characteristic
252	C₂²×D₄₇	—	2	2	no	—
253	C₂²×D₄₇	—	2	2	no	—
254	C₂²×D₄₇	—	4	1	no	—
255	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
256	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
257	C₂²×D₄₇	C₂⁴	1	1	yes	characteristic
258	Q₈×C₄₇	—	2	2	no	—
259	D₄×C₄₇	—	2	4	no	—
260	D₄×C₄₇	—	2	4	no	—
261	D₄×C₄₇	—	2	2	no	—
262	D₄×C₄₇	—	2	2	no	—
263	D₄×C₄₇	—	4	2	no	—
264	D₄×C₄₇	C₂×D₄	1	4	yes	—
265	C₂×C₄×C₄₇	—	2	4	no	—
266	C₂×C₄×C₄₇	—	2	2	no	—
267	C₂×C₄×C₄₇	—	2	2	no	—
268	C₂×C₄×C₄₇	—	4	2	no	—
269	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
270	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
271	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
272	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
273	C₂×C₄×C₄₇	C₂⁴	1	2	yes	—
274	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
275	C₂×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
276	C₂²⋊D₄₇	—	2	4	no	—
277	C₂²⋊D₄₇	—	2	4	no	—
278	C₂²⋊D₄₇	—	2	2	no	—
279	C₂²⋊D₄₇	—	2	2	no	—
280	C₂²⋊D₄₇	—	2	4	no	—
281	C₂²⋊D₄₇	—	2	2	no	—
282	C₂²⋊D₄₇	—	2	4	no	—
283	C₂²⋊D₄₇	—	4	2	no	—
284	C₂²⋊D₄₇	—	4	1	no	—
285	C₂²⋊D₄₇	C₂×D₄	1	8	yes	—
286	C₂×Dic₄₇	—	2	4	no	—
287	C₂×Dic₄₇	—	2	4	no	—
288	C₂×Dic₄₇	—	2	4	no	—
289	C₂×Dic₄₇	—	2	4	no	—
290	C₂×Dic₄₇	—	2	2	no	—
291	C₂×Dic₄₇	—	2	4	no	—
292	C₂×Dic₄₇	—	2	4	no	—
293	C₂×Dic₄₇	—	4	2	no	—
294	C₂×Dic₄₇	C₂×D₄	1	8	yes	—
295	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
296	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
297	C₂×Dic₄₇	C₂⁴	1	2	yes	—
298	C₂×Dic₄₇	C₂⁴	1	2	yes	—
299	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
300	C₂×Dic₄₇	C₂⁴	1	2	yes	—
301	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
302	C₂×Dic₄₇	C₂⁴	1	2	yes	—
303	C₂×Dic₄₇	C₂⁴	1	1	yes	characteristic
304	D₁₈₈	—	2	2	no	—
305	D₁₈₈	—	4	1	no	—
306	C₄×D₄₇	—	2	2	no	—
307	C₄×D₄₇	—	2	4	no	—
308	C₄×D₄₇	—	2	2	no	—
309	C₄×D₄₇	—	2	2	no	—
310	C₄×D₄₇	—	2	2	no	—
311	C₄×D₄₇	—	2	4	no	—
312	C₄×D₄₇	—	4	2	no	—
313	C₄×D₄₇	C₂×D₄	1	4	yes	—
314	Dic₉₄	—	2	2	no	—
315	Dic₉₄	—	2	2	no	—
316	Dic₉₄	—	2	4	no	—
317	Dic₉₄	—	2	2	no	—
318	Dic₉₄	—	2	4	no	—
319	Dic₉₄	—	2	4	no	—
320	Dic₉₄	—	2	4	no	—
321	Dic₉₄	C₂×D₄	1	4	yes	—
322	C₂²×C₄₇	—	2	1	no	—
323	C₂²×C₄₇	—	2	2	no	—
324	C₂²×C₄₇	—	2	2	no	—
325	C₂²×C₄₇	—	2	1	no	—
326	C₂²×C₄₇	—	2	1	no	—
327	C₂²×C₄₇	—	2	2	no	—
328	C₂²×C₄₇	—	2	1	no	—
329	C₂²×C₄₇	—	2	2	no	—
330	C₂²×C₄₇	—	2	1	no	—
331	C₂²×C₄₇	—	2	2	no	—
332	C₂²×C₄₇	—	4	8	no	—
333	C₂²×C₄₇	C₂²×D₄	1	4	yes	—
334	C₂²×C₄₇	2₋¹⁺⁴	1	2	yes	complemented
335	C₂²×C₄₇	C₂⁵	1	1	yes	characteristic
336	C₂×D₄₇	—	2	1	no	—
337	C₂×D₄₇	—	2	1	no	—
338	C₂×D₄₇	—	2	1	no	—
339	C₂×D₄₇	—	2	1	no	—
340	C₂×D₄₇	—	2	1	no	—
341	C₂×D₄₇	—	2	1	no	—
342	C₂×D₄₇	—	2	1	no	—
343	C₂×D₄₇	—	2	1	no	—
344	C₂×D₄₇	—	4	4	no	—
345	C₂×D₄₇	C₂²×D₄	1	2	yes	—
346	C₄×C₄₇	—	2	1	no	—
347	C₄×C₄₇	—	2	1	no	—
348	C₄×C₄₇	—	2	2	no	—
349	C₄×C₄₇	—	2	1	no	—
350	C₄×C₄₇	—	2	2	no	—
351	C₄×C₄₇	—	2	1	no	—
352	C₄×C₄₇	C₂²×D₄	1	2	yes	—
353	Dic₄₇	—	2	2	no	—
354	Dic₄₇	—	2	1	no	—
355	Dic₄₇	—	2	2	no	—
356	Dic₄₇	—	2	1	no	—
357	Dic₄₇	—	2	1	no	—
358	Dic₄₇	—	2	2	no	—
359	Dic₄₇	—	2	1	no	—
360	Dic₄₇	C₂²×D₄	1	4	yes	—
361	Dic₄₇	C₂²×D₄	1	2	yes	—
362	#3489	—	47	1	no	maximal, Sylow
363	C₂×C₄₇	—	2	2	no	—
364	C₂×C₄₇	—	2	4	no	—
365	C₂×C₄₇	—	4	1	no	—
366	C₂×C₄₇	—	4	2	no	—
367	C₂×C₄₇	C₂³×D₄	1	1	yes	characteristic
368	C₂×C₄₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
369	C₂×C₄₇	#585	1	1	yes	characteristic
370	D₄₇	—	2	2	no	—
371	D₄₇	—	4	1	no	—
372	D₄₇	—	4	1	no	—
373	C₂×2₋¹⁺⁴	—	47	1	no	—
374	C₂²×#41	—	47	1	no	—
375	D₄×Q₈	—	47	1	no	—
376	D₄×Q₈	—	47	1	no	—
377	#548	—	47	1	no	—
378	#548	—	47	1	no	—
379	#547	—	47	1	no	—
380	#547	—	47	2	no	—
381	#547	—	47	2	no	—
382	#547	—	47	1	no	—
383	#546	—	47	1	no	—
384	#546	—	47	2	no	—
385	#546	—	47	2	no	—
386	#546	D₄₇	1	1	yes	characteristic, complemented
387	#537	—	47	2	no	—
388	#537	—	47	1	no	—
389	#536	—	47	1	no	—
390	#536	—	47	2	no	—
391	#525	—	47	2	no	—
392	#525	—	47	1	no	—
393	C₂×C₂²⋊Q₈	—	47	1	no	—
394	C₂×C₂²⋊Q₈	—	47	2	no	—
395	#520	—	47	1	no	—
396	C₄₇	#3489	1	1	yes	characteristic, complemented, Sylow
397	2₋¹⁺⁴	—	94	8	no	—
398	C₂×#41	—	47	1	no	—
399	C₂×#41	—	47	2	no	—
400	C₂×#41	—	47	2	no	—
401	C₂×#41	—	47	1	no	—
402	C₂×#41	—	47	1	no	—
403	C₂×#41	—	47	2	no	—
404	C₂×#41	—	47	1	no	—
405	C₂×#41	—	47	2	no	—
406	C₂×#41	—	47	1	no	—
407	C₂×#41	—	47	1	no	—
408	C₂×#41	—	47	2	no	—
409	C₂×#41	—	94	8	no	—
410	C₂×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
411	C₂²×Q₈	—	47	1	no	—
412	C₂²×Q₈	—	47	1	no	—
413	C₂²×Q₈	—	47	2	no	—
414	C₂²×Q₈	—	47	1	no	—
415	C₂²×Q₈	—	47	1	no	—
416	C₂²×D₄	—	47	2	no	—
417	C₂²×D₄	C₂×D₄₇	1	1	yes	characteristic
418	C₂³×C₄	—	47	2	no	—
419	C₂³×C₄	—	47	1	no	—
420	C₄⋊Q₈	—	47	1	no	—
421	C₄⋊Q₈	—	47	2	no	—
422	C₄⋊Q₈	—	47	2	no	—
423	C₄⋊Q₈	—	47	1	no	—
424	#124	—	47	1	no	—
425	#124	—	47	2	no	—
426	#124	—	47	2	no	—
427	#124	C₂×D₄₇	1	1	yes	characteristic, complemented
428	#123	—	47	2	no	—
429	#123	—	47	2	no	—
430	#123	—	47	2	no	—
431	#123	—	47	1	no	—
432	#123	—	47	1	no	—
433	#123	—	47	2	no	—
434	#123	—	47	2	no	—
435	#123	—	47	2	no	—
436	#123	—	47	2	no	—
437	#123	C₂×D₄₇	1	2	yes	complemented
438	C₂²⋊Q₈	—	47	1	no	—
439	C₂²⋊Q₈	—	47	1	no	—
440	C₂²⋊Q₈	—	47	1	no	—
441	C₂²⋊Q₈	—	47	2	no	—
442	C₂²⋊Q₈	—	47	1	no	—
443	C₂²⋊Q₈	—	47	1	no	—
444	C₂²⋊Q₈	—	47	2	no	—
445	C₂²⋊Q₈	—	47	1	no	—
446	C₂²⋊Q₈	—	47	2	no	—
447	C₂²⋊Q₈	—	47	1	no	—
448	C₂²⋊Q₈	—	47	2	no	—
449	C₂²⋊Q₈	—	47	2	no	—
450	C₂²⋊Q₈	—	47	2	no	—
451	C₂²⋊Q₈	—	47	2	no	—
452	C₂²⋊Q₈	—	47	2	no	—
453	C₂²⋊Q₈	—	47	2	no	—
454	C₂²⋊Q₈	—	47	2	no	—
455	C₂²⋊Q₈	—	47	2	no	—
456	C₂²⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
457	#121	—	47	1	no	—
458	#121	—	47	2	no	—
459	#121	—	47	2	no	—
460	#121	—	47	2	no	—
461	#121	—	47	2	no	—
462	#121	—	47	1	no	—
463	#121	—	47	2	no	—
464	#121	—	47	2	no	—
465	#121	—	47	1	no	—
466	#121	—	47	2	no	—
467	#121	—	47	2	no	—
468	#121	C₂×D₄₇	1	2	yes	complemented
469	#121	C₂×D₄₇	1	1	yes	characteristic, complemented
470	#120	—	47	2	no	—
471	#120	—	47	1	no	—
472	#120	—	47	1	no	—
473	#120	C₂×D₄₇	1	2	yes	—
474	C₄×Q₈	—	47	1	no	—
475	C₄×Q₈	—	47	1	no	—
476	C₄×D₄	—	47	1	no	—
477	C₄×D₄	—	47	2	no	—
478	C₄×D₄	—	47	2	no	—
479	C₄×D₄	—	47	2	no	—
480	C₄×D₄	—	47	1	no	—
481	C₄×D₄	—	47	1	no	—
482	C₄×D₄	—	47	2	no	—
483	C₄×D₄	—	47	2	no	—
484	C₄×D₄	—	47	2	no	—
485	C₄×D₄	—	47	1	no	—
486	C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
487	C₄×D₄	C₂×D₄₇	1	1	yes	characteristic, complemented
488	#117	—	47	2	no	—
489	#117	—	47	1	no	—
490	C₂×C₄⋊C₄	—	47	2	no	—
491	C₂×C₄⋊C₄	—	47	2	no	—
492	C₂×C₄⋊C₄	—	47	2	no	—
493	C₂×C₄⋊C₄	—	47	1	no	—
494	C₂×C₄⋊C₄	—	47	2	no	—
495	C₂×C₂²⋊C₄	—	47	2	no	—
496	C₂×C₂²⋊C₄	—	47	2	no	—
497	C₂×C₂²⋊C₄	C₂×D₄₇	1	2	yes	—
498	C₂⁴	—	47	1	no	—
499	C₂⁴	C₂²×D₄₇	1	2	yes	—
500	#41	—	2	4	no	—
501	#41	—	47	8	no	—
502	#41	—	94	4	no	—
503	#41	—	94	8	no	—
504	#41	—	94	8	no	—
505	#41	—	94	4	no	—
506	#41	—	94	8	no	—
507	#41	—	94	8	no	—
508	#41	—	94	8	no	—
509	#41	—	94	4	no	—
510	#41	—	94	4	no	—
511	#41	—	94	4	no	—
512	C₂×Q₈	—	47	1	no	—
513	C₂×Q₈	—	47	2	no	—
514	C₂×Q₈	—	47	1	no	—
515	C₂×Q₈	—	47	2	no	—
516	C₂×Q₈	—	47	2	no	—
517	C₂×Q₈	—	47	1	no	—
518	C₂×Q₈	—	47	2	no	—
519	C₂×Q₈	—	47	1	no	—
520	C₂×Q₈	—	94	8	no	—
521	C₂×Q₈	—	94	4	no	—
522	C₂×Q₈	—	94	4	no	—
523	C₂×Q₈	—	94	4	no	—
524	C₂×Q₈	—	94	4	no	—
525	C₂×Q₈	C₂²×D₄₇	1	1	yes	characteristic
526	C₂×D₄	—	2	4	no	—
527	C₂×D₄	—	47	2	no	—
528	C₂×D₄	—	47	1	no	—
529	C₂×D₄	—	47	1	no	—
530	C₂×D₄	—	47	2	no	—
531	C₂×D₄	—	47	1	no	—
532	C₂×D₄	—	47	2	no	—
533	C₂×D₄	—	47	2	no	—
534	C₂×D₄	—	47	2	no	—
535	C₂×D₄	—	47	1	no	—
536	C₂×D₄	—	47	2	no	—
537	C₂×D₄	—	47	1	no	—
538	C₂×D₄	—	47	1	no	—
539	C₂×D₄	—	94	8	no	—
540	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
541	C₂×D₄	C₂²×D₄₇	1	2	yes	—
542	C₂×D₄	C₂²×D₄₇	1	2	yes	—
543	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
544	C₂×D₄	C₂²×D₄₇	1	2	yes	—
545	C₂×D₄	C₂²×D₄₇	1	1	yes	characteristic
546	C₂²×C₄	—	47	2	no	—
547	C₂²×C₄	—	47	1	no	—
548	C₂²×C₄	—	47	2	no	—
549	C₂²×C₄	—	47	2	no	—
550	C₂²×C₄	—	47	2	no	—
551	C₂²×C₄	—	47	2	no	—
552	C₂²×C₄	—	47	2	no	—
553	C₂²×C₄	—	47	1	no	—
554	C₂²×C₄	—	47	2	no	—
555	C₂²×C₄	—	47	2	no	—
556	C₂²×C₄	—	47	2	no	—
557	C₂²×C₄	—	47	1	no	—
558	C₂²×C₄	—	47	2	no	—
559	C₂²×C₄	—	47	1	no	—
560	C₂²×C₄	—	47	1	no	—
561	C₂²×C₄	—	47	1	no	—
562	C₂²×C₄	—	47	2	no	—
563	C₂²×C₄	—	94	4	no	—
564	C₂²×C₄	—	94	8	no	—
565	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
566	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
567	C₂²×C₄	C₂²×D₄₇	1	1	yes	characteristic
568	C₂²×C₄	C₂²×D₄₇	1	2	yes	—
569	C₄⋊C₄	—	47	2	no	—
570	C₄⋊C₄	—	47	1	no	—
571	C₄⋊C₄	—	47	2	no	—
572	C₄⋊C₄	—	47	1	no	—
573	C₄⋊C₄	—	47	2	no	—
574	C₄⋊C₄	—	47	2	no	—
575	C₄⋊C₄	—	47	2	no	—
576	C₄⋊C₄	—	47	2	no	—
577	C₄⋊C₄	—	47	2	no	—
578	C₄⋊C₄	—	47	1	no	—
579	C₄⋊C₄	—	47	1	no	—
580	C₄⋊C₄	—	47	2	no	—
581	C₄⋊C₄	—	47	2	no	—
582	C₄⋊C₄	—	47	1	no	—
583	C₄⋊C₄	—	47	1	no	—
584	C₄⋊C₄	—	47	2	no	—
585	C₄⋊C₄	—	47	2	no	—
586	C₄⋊C₄	—	47	2	no	—
587	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
588	C₄⋊C₄	C₂²×D₄₇	1	2	yes	—
589	C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
590	C₂²⋊C₄	—	47	2	no	—
591	C₂²⋊C₄	—	47	1	no	—
592	C₂²⋊C₄	—	47	2	no	—
593	C₂²⋊C₄	—	47	2	no	—
594	C₂²⋊C₄	—	47	2	no	—
595	C₂²⋊C₄	—	47	1	no	—
596	C₂²⋊C₄	—	47	2	no	—
597	C₂²⋊C₄	—	47	2	no	—
598	C₂²⋊C₄	—	47	2	no	—
599	C₂²⋊C₄	—	47	2	no	—
600	C₂²⋊C₄	—	47	1	no	—
601	C₂²⋊C₄	—	47	1	no	—
602	C₂²⋊C₄	—	47	1	no	—
603	C₂²⋊C₄	—	47	1	no	—
604	C₂²⋊C₄	—	47	1	no	—
605	C₂²⋊C₄	—	47	1	no	—
606	C₂²⋊C₄	—	47	2	no	—
607	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
608	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
609	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
610	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
611	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
612	C₂²⋊C₄	C₂²×D₄₇	1	2	yes	—
613	C₂²⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
614	C₄²	—	47	2	no	—
615	C₄²	—	47	2	no	—
616	C₄²	—	47	1	no	—
617	C₄²	C₂²×D₄₇	1	1	yes	characteristic
618	C₂³	—	2	4	no	—
619	C₂³	—	2	4	no	—
620	C₂³	—	4	2	no	—
621	C₂³	—	47	1	no	—
622	C₂³	—	47	1	no	—
623	C₂³	—	47	1	no	—
624	C₂³	—	94	2	no	—
625	C₂³	—	94	2	no	—
626	C₂³	—	188	1	no	—
627	C₂³	C₂³×D₄₇	1	2	yes	—
628	C₂³	C₂³×D₄₇	1	1	yes	characteristic
629	C₂³	C₂³×D₄₇	1	2	yes	—
630	C₂³	C₂³×D₄₇	1	1	yes	characteristic
631	Q₈	—	2	2	no	—
632	Q₈	—	47	4	no	—
633	Q₈	—	94	2	no	—
634	Q₈	—	94	4	no	—
635	Q₈	—	94	4	no	—
636	Q₈	—	94	4	no	—
637	Q₈	—	94	4	no	—
638	Q₈	—	94	2	no	—
639	Q₈	—	94	2	no	—
640	D₄	—	2	4	no	—
641	D₄	—	2	4	no	—
642	D₄	—	2	2	no	—
643	D₄	—	2	2	no	—
644	D₄	—	4	2	no	—
645	D₄	—	47	8	no	—
646	D₄	—	94	2	no	—
647	D₄	—	94	4	no	—
648	D₄	—	94	2	no	—
649	D₄	—	94	4	no	—
650	D₄	—	94	2	no	—
651	D₄	—	94	4	no	—
652	D₄	—	94	4	no	—
653	D₄	—	94	2	no	—
654	D₄	—	188	1	no	—
655	D₄	—	188	1	no	—
656	D₄	—	188	2	no	—
657	D₄	D₄×D₄₇	1	4	yes	—
658	C₂×C₄	—	2	4	no	—
659	C₂×C₄	—	2	2	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	4	2	no	—
662	C₂×C₄	—	47	8	no	—
663	C₂×C₄	—	47	2	no	—
664	C₂×C₄	—	47	1	no	—
665	C₂×C₄	—	47	4	no	—
666	C₂×C₄	—	47	1	no	—
667	C₂×C₄	—	47	1	no	—
668	C₂×C₄	—	47	2	no	—
669	C₂×C₄	—	47	1	no	—
670	C₂×C₄	—	47	2	no	—
671	C₂×C₄	—	47	1	no	—
672	C₂×C₄	—	47	2	no	—
673	C₂×C₄	—	94	2	no	—
674	C₂×C₄	—	94	4	no	—
675	C₂×C₄	—	94	2	no	—
676	C₂×C₄	—	94	4	no	—
677	C₂×C₄	—	94	2	no	—
678	C₂×C₄	—	94	4	no	—
679	C₂×C₄	—	94	4	no	—
680	C₂×C₄	—	94	4	no	—
681	C₂×C₄	—	94	4	no	—
682	C₂×C₄	—	94	4	no	—
683	C₂×C₄	—	94	4	no	—
684	C₂×C₄	—	94	2	no	—
685	C₂×C₄	—	94	2	no	—
686	C₂×C₄	—	188	2	no	—
687	C₂×C₄	—	188	2	no	—
688	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
689	C₂×C₄	C₂³×D₄₇	1	2	yes	—
690	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
691	C₂×C₄	C₂³×D₄₇	1	2	yes	—
692	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
693	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
694	C₂×C₄	C₂³×D₄₇	1	1	yes	characteristic
695	C₂²	—	2	1	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	1	no	—
699	C₂²	—	2	1	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	1	no	—
702	C₂²	—	2	2	no	—
703	C₂²	—	2	1	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	4	8	no	—
706	C₂²	—	47	2	no	—
707	C₂²	—	94	1	no	—
708	C₂²	—	94	1	no	—
709	C₂²	—	94	1	no	—
710	C₂²	—	94	1	no	—
711	C₂²	—	94	1	no	—
712	C₂²	—	94	1	no	—
713	C₂²	—	94	1	no	—
714	C₂²	—	94	1	no	—
715	C₂²	—	188	4	no	—
716	C₂²	C₂×D₄×D₄₇	1	4	yes	—
717	C₂²	#13094071	1	2	yes	complemented
718	C₂²	C₂⁴×D₄₇	1	1	yes	characteristic
719	C₄	—	2	1	no	—
720	C₄	—	2	1	no	—
721	C₄	—	2	2	no	—
722	C₄	—	2	1	no	—
723	C₄	—	2	1	no	—
724	C₄	—	2	2	no	—
725	C₄	—	47	2	no	—
726	C₄	—	47	4	no	—
727	C₄	—	94	1	no	—
728	C₄	—	94	2	no	—
729	C₄	—	94	2	no	—
730	C₄	—	94	1	no	—
731	C₄	—	94	1	no	—
732	C₄	—	94	2	no	—
733	C₄	—	94	1	no	—
734	C₄	C₂×D₄×D₄₇	1	2	yes	—
735	C₂	—	2	2	no	—
736	C₂	—	2	4	no	—
737	C₂	—	4	2	no	—
738	C₂	—	4	1	no	—
739	C₂	—	94	2	no	—
740	C₂	—	188	1	no	—
741	C₂	—	188	1	no	—
742	C₂	C₂²×D₄×D₄₇	1	1	yes	characteristic
743	C₂	C₂×#13094071	1	1	yes	characteristic
744	C₂	#15689958	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₄₇
commutator, socle	C₂²×C₄₇	C₂⁵
Fitting	C₄₇×#546	C₂
hypercenter	#546	D₄₇
hypocenter	C₄₇	#3489
LCS	G ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. C₂×#13094071	C₂	semidirect
2. C₂²×#10625352	C₂	semidirect
3. D₄×Dic₉₄	C₂	semidirect
4. #15689786	C₂	semidirect
5. #15689781	C₂	semidirect
6. #15689779	C₂	semidirect
7. #15689777	C₂	semidirect
8. #15689773	C₂	semidirect
9. #15689772	C₂	semidirect
10. #15689771	C₂	semidirect
11. #15689767	C₂	semidirect
12. #15689763	C₂	semidirect
13. #15689760	C₂	semidirect
14. #15689702	C₂	semidirect
15. #15689700	C₂	semidirect
16. #15689695	C₂	semidirect
17. #15689693	C₂	semidirect
18. #15689632	C₂	semidirect
19. #15689629	C₂	semidirect
20. C₂×#13094001	C₂	semidirect
21. C₂²⋊Q₈×D₄₇	C₂	semidirect
22. #15689602	C₂	semidirect
23. C₄₇×#546	C₂	semidirect
25. C₂×#10625350	C₂²	semidirect
26. C₂×#10625350	C₂²	semidirect
34. C₂×#10625352	C₂²	semidirect
35. C₂×#10625352	C₂²	semidirect
36. C₂×#10625352	C₂²	semidirect
38. C₂²×Dic₉₄	C₂²	semidirect
39. C₂²×Dic₉₄	C₂²	semidirect
40. C₂×Q₈×D₄₇	C₂²	semidirect
41. C₂×Q₈×D₄₇	C₂²	semidirect
45. #13094024	C₂²	semidirect
46. #13094023	C₂²	semidirect
47. #13094023	C₂²	semidirect
48. #13094022	C₂²	semidirect
49. #13094011	C₂²	semidirect
50. #13094010	C₂²	semidirect
51. #13094010	C₂²	semidirect
52. #13094009	C₂²	semidirect
53. #13094008	C₂²	semidirect
54. #13094008	C₂²	semidirect
55. #13094007	C₂²	semidirect
56. #13094006	C₂²	semidirect
57. #13094006	C₂²	semidirect
58. #13094006	C₂²	semidirect
59. #13094005	C₂²	semidirect
60. #13094005	C₂²	semidirect
61. #13094004	C₂²	semidirect
62. #13094004	C₂²	semidirect
64. #13094003	C₂²	semidirect
65. #13094002	C₂²	semidirect
66. #13094002	C₂²	semidirect
67. #13094002	C₂²	semidirect
72. #13094001	C₂²	semidirect
73. #13094001	C₂²	semidirect
74. #13094001	C₂²	semidirect
75. #13094001	C₂²	semidirect
76. #13094001	C₂²	semidirect
77. #13094001	C₂²	semidirect
78. #13094000	C₂²	semidirect
79. #13093998	C₂²	semidirect
80. #13093997	C₂²	semidirect
81. #13093997	C₂²	semidirect
82. #13093997	C₂²	semidirect
84. #13093996	C₂²	semidirect
85. #13093996	C₂²	semidirect
86. #13093996	C₂²	semidirect
87. #13093996	C₂²	semidirect
88. #13093995	C₂²	semidirect
89. #13093995	C₂²	semidirect
93. C₄×Dic₉₄	C₂²	semidirect
94. #13093989	C₂²	semidirect
95. C₄×D₁₈₈	C₂²	semidirect
97. D₄×Dic₄₇	C₂²	semidirect
98. D₄×Dic₄₇	C₂²	semidirect
100. C₄×C₂²⋊D₄₇	C₂²	semidirect
101. C₄×C₂²⋊D₄₇	C₂²	semidirect
103. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
104. (C₂²⋊D₄₇)⋊C₄	C₂²	semidirect
105. #13093981	C₂²	semidirect
106. #13093980	C₂²	semidirect
107. C₂×C₄⋊Dic₄₇	C₂²	semidirect
108. C₂×Dic₄₇⋊C₄	C₂²	semidirect
109. C₂×Dic₄₇⋊C₄	C₂²	semidirect
110. C₄⋊C₄×D₄₇	C₂²	semidirect
111. C₄⋊C₄×D₄₇	C₂²	semidirect
114. C₂×#41×C₄₇	C₂²	semidirect
116. #124×C₄₇	C₂²	semidirect
117. #123×C₄₇	C₂²	semidirect
119. #121×C₄₇	C₂²	semidirect
120. #121×C₄₇	C₂²	semidirect
123. C₄×D₄×C₄₇	C₂²	semidirect
171. #10625352	D₄	semidirect
334. C₂²×C₄₇	2₋¹⁺⁴	semidirect
386. #546	D₄₇	semidirect
396. C₄₇	#3489	semidirect
410. C₂×#41	C₂×D₄₇	semidirect
427. #124	C₂×D₄₇	semidirect
437. #123	C₂×D₄₇	semidirect
468. #121	C₂×D₄₇	semidirect
469. #121	C₂×D₄₇	semidirect
487. C₄×D₄	C₂×D₄₇	semidirect
717. C₂²	#13094071	semidirect