Subgroups — #25002263

Order 11008.

850 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14582658	C₂	1	2	yes	maximal
2	C₂×#14582658	C₂	1	2	yes	maximal
3	#19134289	C₂	1	1	yes	maximal, characteristic
4	C₄×C₄₃⋊#95	C₂	1	1	yes	maximal, characteristic
5	C₄×#117×C₄₃	C₂	1	1	yes	maximal, characteristic
6	C₂²×#10621877	C₂²	1	2	yes	—
7	C₂²×C₄×Dic₄₃	C₂²	1	2	yes	—
8	C₂×C₄₃⋊#95	—	2	2	no	—
9	#14582658	—	2	4	no	—
10	#14582658	C₄	1	8	yes	complemented
11	#14582654	—	2	1	no	—
12	#14582654	—	2	1	no	—
13	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
14	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
15	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
16	C₄×C₄⋊C₄×C₄₃	C₄	1	2	yes	complemented
17	C₄×C₄⋊C₄×C₄₃	C₄	1	2	yes	complemented
18	C₄×C₂²⋊C₄×C₄₃	—	2	2	no	—
19	C₄₃×#376	—	2	1	no	—
20	C₄³×C₄₃	—	2	1	no	—
21	C₂³×Dic₄₃	—	2	2	no	—
22	C₂×#10621877	—	2	2	no	—
23	C₂×#10621877	—	2	2	no	—
24	C₂×#10621877	—	2	2	no	—
25	C₂×#10621877	—	2	2	no	—
26	C₂×#10621877	—	2	2	no	—
27	C₂×#10621877	C₂×C₄	1	4	yes	—
28	C₂²×C₄₃⋊C₈	—	2	2	no	—
29	C₂×C₄×Dic₄₃	—	2	2	no	—
30	C₂×C₄×Dic₄₃	—	2	2	no	—
31	C₂×C₄×Dic₄₃	—	2	2	no	—
32	C₂×C₄×Dic₄₃	—	2	2	no	—
33	C₂×C₄×Dic₄₃	—	2	2	no	—
34	C₂×C₄×Dic₄₃	C₂×C₄	1	4	yes	—
35	C₄₃⋊#95	—	2	8	no	—
36	C₂³×C₄×C₄₃	D₄	1	2	yes	—
37	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
38	#117×C₄₃	—	2	2	no	—
39	#117×C₄₃	—	2	1	no	—
40	#117×C₄₃	—	2	1	no	—
41	#117×C₄₃	C₂×C₄	1	4	yes	—
42	#117×C₄₃	D₄	1	2	yes	—
43	#117×C₄₃	Q₈	1	2	yes	—
44	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	2	yes	—
47	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
48	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
49	C₂×C₄²×C₄₃	—	2	1	no	—
50	C₂×C₄²×C₄₃	—	2	1	no	—
51	C₂×C₄²×C₄₃	—	2	2	no	—
52	C₂×C₄²×C₄₃	—	2	2	no	—
53	C₂×C₄²×C₄₃	—	2	2	no	—
54	C₂×C₄²×C₄₃	—	2	2	no	—
55	C₂×C₄²×C₄₃	C₂×C₄	1	2	yes	—
56	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
57	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
58	#95×C₄₃	—	2	2	no	—
59	#95×C₄₃	—	2	2	no	—
60	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
61	C₂²×C₄×C₄₃	—	2	4	no	—
62	C₂²×C₄×C₄₃	—	2	1	no	—
63	C₂²×C₄×C₄₃	—	2	1	no	—
64	C₂²×C₄×C₄₃	—	2	2	no	—
65	C₂²×C₄×C₄₃	—	2	4	no	—
66	C₂²×C₄×C₄₃	—	4	2	no	—
67	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
68	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
69	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
70	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
71	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
72	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₃	C₂×Q₈	1	1	yes	characteristic
74	C₂²×C₄×C₄₃	#41	1	2	yes	—
75	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
76	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
77	C₂²×C₄×C₄₃	#41	1	2	yes	—
78	C₂²×C₄×C₄₃	#41	1	2	yes	—
79	C₂²×Dic₄₃	—	2	8	no	—
80	C₂²×Dic₄₃	—	2	4	no	—
81	C₂²×Dic₄₃	—	4	4	no	—
82	C₂²×Dic₄₃	—	4	2	no	—
83	C₂²×Dic₄₃	—	4	2	no	—
84	C₄⋊C₄×C₄₃	—	2	1	no	—
85	C₄⋊C₄×C₄₃	—	2	1	no	—
86	C₄⋊C₄×C₄₃	—	2	2	no	—
87	C₄⋊C₄×C₄₃	C₄²	1	2	yes	—
88	C₄⋊C₄×C₄₃	C₄²	1	2	yes	—
89	C₄⋊C₄×C₄₃	C₄⋊C₄	1	4	yes	—
90	C₂²⋊C₄×C₄₃	—	2	4	no	—
91	C₂²⋊C₄×C₄₃	—	2	2	no	—
92	C₂²⋊C₄×C₄₃	—	2	2	no	—
93	C₄²×C₄₃	—	2	2	no	—
94	C₄²×C₄₃	—	2	2	no	—
95	C₄²×C₄₃	—	2	4	no	—
96	C₄²×C₄₃	—	2	2	no	—
97	C₄²×C₄₃	—	2	2	no	—
98	C₄²×C₄₃	—	2	2	no	—
99	C₄²×C₄₃	—	2	2	no	—
100	C₄²×C₄₃	—	4	4	no	—
101	C₄²×C₄₃	—	4	4	no	—
102	C₄×Dic₄₃	—	2	4	no	—
103	C₄×Dic₄₃	—	2	4	no	—
104	C₄×Dic₄₃	—	4	2	no	—
105	C₄×Dic₄₃	—	4	2	no	—
106	#10621877	—	2	4	no	—
107	#10621877	—	2	4	no	—
108	#10621877	—	4	2	no	—
109	#10621877	—	4	2	no	—
110	C₂×C₄₃⋊C₈	—	2	4	no	—
111	C₂×C₄₃⋊C₈	—	4	2	no	—
112	C₂×C₄₃⋊C₈	—	4	2	no	—
113	C₂³×C₄₃	—	2	2	no	—
114	C₂³×C₄₃	—	2	2	no	—
115	C₂³×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
116	C₂³×C₄₃	C₄×D₄	1	2	yes	—
117	C₂³×C₄₃	#121	1	1	yes	characteristic
118	C₂³×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
119	C₂³×C₄₃	#123	1	2	yes	—
120	C₂×C₄×C₄₃	—	2	2	no	—
121	C₂×C₄×C₄₃	—	2	2	no	—
122	C₂×C₄×C₄₃	—	2	2	no	—
123	C₂×C₄×C₄₃	—	2	2	no	—
124	C₂×C₄×C₄₃	—	2	4	no	—
125	C₂×C₄×C₄₃	—	2	2	no	—
126	C₂×C₄×C₄₃	—	2	2	no	—
127	C₂×C₄×C₄₃	—	2	2	no	—
128	C₂×C₄×C₄₃	—	4	8	no	—
129	C₂×C₄×C₄₃	—	4	2	no	—
130	C₂×C₄×C₄₃	—	4	2	no	—
131	C₂×C₄×C₄₃	—	4	2	no	—
132	C₂×C₄×C₄₃	—	4	2	no	—
133	C₂×C₄×C₄₃	#104	1	4	yes	—
134	C₂×C₄×C₄₃	C₂×C₄²	1	1	yes	characteristic
135	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
136	C₂×C₄×C₄₃	#117	1	2	yes	—
137	C₂×C₄×C₄₃	#117	1	2	yes	—
138	C₂×C₄×C₄₃	#117	1	1	yes	characteristic
139	C₂×C₄×C₄₃	#117	1	1	yes	characteristic
140	C₂×C₄×C₄₃	#117	1	1	yes	characteristic
141	C₂×C₄×C₄₃	#117	1	1	yes	characteristic
142	C₂×C₄×C₄₃	C₄×D₄	1	2	yes	—
143	C₂×C₄×C₄₃	C₄×D₄	1	2	yes	—
144	C₂×C₄×C₄₃	C₄×Q₈	1	2	yes	—
145	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
146	C₂×C₄×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
147	C₂×C₄×C₄₃	#123	1	2	yes	—
148	C₂×C₄×C₄₃	#124	1	2	yes	—
149	C₂×C₄×C₄₃	#125	1	2	yes	—
150	C₂×C₄×C₄₃	#126	1	2	yes	—
151	C₂×C₄×C₄₃	#126	1	2	yes	—
152	C₂×Dic₄₃	—	2	8	no	—
153	C₂×Dic₄₃	—	4	8	no	—
154	C₂×Dic₄₃	—	4	8	no	—
155	C₂×Dic₄₃	—	4	4	no	—
156	C₂×Dic₄₃	—	4	4	no	—
157	C₄₃⋊C₈	—	4	4	no	—
158	#10808	—	43	1	no	maximal, Sylow
159	C₂²×C₄₃	—	2	2	no	—
160	C₂²×C₄₃	—	2	2	no	—
161	C₂²×C₄₃	—	2	4	no	—
162	C₂²×C₄₃	—	2	2	no	—
163	C₂²×C₄₃	—	2	2	no	—
164	C₂²×C₄₃	C₄×C₂²⋊C₄	1	1	yes	characteristic
165	C₂²×C₄₃	#380	1	1	yes	characteristic
166	C₂²×C₄₃	#381	1	1	yes	characteristic
167	C₂²×C₄₃	#387	1	2	yes	—
168	C₂²×C₄₃	#388	1	2	yes	—
169	C₂²×C₄₃	C₂×#104	1	2	yes	—
170	C₂²×C₄₃	#421	1	2	yes	—
171	C₄×C₄₃	—	2	4	no	—
172	C₄×C₄₃	—	4	4	no	—
173	C₄×C₄₃	—	4	2	no	—
174	C₄×C₄₃	—	4	2	no	—
175	C₄×C₄₃	—	4	2	no	—
176	C₄×C₄₃	#376	1	1	yes	characteristic
177	C₄×C₄₃	C₄×C₄⋊C₄	1	1	yes	characteristic
178	C₄×C₄₃	#382	1	1	yes	characteristic
179	C₄×C₄₃	#383	1	1	yes	characteristic
180	C₄×C₄₃	#387	1	2	yes	—
181	C₄×C₄₃	#388	1	2	yes	—
182	Dic₄₃	—	4	8	no	—
183	C₄×#117	D₄₃	1	1	yes	characteristic
184	C₂×#339	—	43	2	no	—
185	C₂×#339	—	43	2	no	—
186	#1728	—	43	1	no	—
187	C₄×#95	—	43	1	no	—
188	C₂×C₄₃	—	2	2	no	—
189	C₂×C₄₃	—	2	2	no	—
190	C₂×C₄₃	#1434	1	1	yes	characteristic
191	C₂×C₄₃	C₄×#104	1	1	yes	characteristic
192	C₂×C₄₃	#1759	1	1	yes	characteristic
193	C₂×C₄₃	#1806	1	2	yes	—
194	C₂×C₄₃	#1826	1	2	yes	—
195	C₂²×M₁₆	—	43	2	no	—
196	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
197	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
198	C₂²×C₄²	—	43	2	no	—
199	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
200	C₄×C₄⋊C₄	Dic₄₃	1	2	yes	complemented
201	C₄×C₄⋊C₄	Dic₄₃	1	2	yes	complemented
202	C₄×C₂²⋊C₄	—	2	2	no	—
203	#376	—	2	1	no	—
204	C₂×#95	—	86	2	no	—
205	C₄³	—	2	1	no	—
206	#339	—	43	8	no	—
207	#339	—	86	4	no	—
208	#336	—	86	1	no	—
209	#336	—	86	1	no	—
210	C₄₃	#10808	1	1	yes	characteristic, complemented, Sylow
211	C₂³×C₄	—	86	2	no	—
212	C₂³×C₄	C₂²⋊D₄₃	1	2	yes	—
213	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
214	C₂×M₁₆	—	43	4	no	—
215	C₂×M₁₆	—	86	2	no	—
216	C₂×M₁₆	—	86	2	no	—
217	C₂×M₁₆	—	86	2	no	—
218	C₂×M₁₆	—	86	2	no	—
219	C₂×M₁₆	—	86	2	no	—
220	C₂²×C₈	—	86	2	no	—
221	#117	—	2	2	no	—
222	#117	—	2	1	no	—
223	#117	—	2	1	no	—
224	#117	Dic₈₆	1	2	yes	—
225	#117	C₄×D₄₃	1	4	yes	—
226	#117	D₁₇₂	1	2	yes	—
227	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
228	C₂×C₄⋊C₄	C₂×Dic₄₃	1	1	yes	characteristic
229	C₂×C₄⋊C₄	C₂×Dic₄₃	1	2	yes	—
230	C₂×C₂²⋊C₄	—	2	1	no	—
231	C₂×C₂²⋊C₄	—	2	1	no	—
232	C₂×C₄²	—	2	2	no	—
233	C₂×C₄²	—	2	2	no	—
234	C₂×C₄²	—	2	1	no	—
235	C₂×C₄²	—	2	1	no	—
236	C₂×C₄²	—	2	2	no	—
237	C₂×C₄²	—	2	2	no	—
238	C₂×C₄²	—	43	4	no	—
239	C₂×C₄²	—	86	2	no	—
240	C₂×C₄²	—	86	2	no	—
241	C₂×C₄²	—	86	2	no	—
242	C₂×C₄²	—	86	2	no	—
243	C₂×C₄²	—	86	2	no	—
244	C₂×C₄²	C₂×Dic₄₃	1	2	yes	—
245	C₂×C₄²	C₂²⋊D₄₃	1	1	yes	characteristic
246	C₂×C₄²	C₂²⋊D₄₃	1	1	yes	characteristic
247	#95	—	2	2	no	—
248	#95	—	2	2	no	—
249	#95	—	86	8	no	—
250	C₂⁴	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
251	C₂²×C₄	—	2	1	no	—
252	C₂²×C₄	—	2	1	no	—
253	C₂²×C₄	—	2	2	no	—
254	C₂²×C₄	—	2	4	no	—
255	C₂²×C₄	—	2	4	no	—
256	C₂²×C₄	—	4	2	no	—
257	C₂²×C₄	—	86	8	no	—
258	C₂²×C₄	—	86	4	no	—
259	C₂²×C₄	—	172	4	no	—
260	C₂²×C₄	—	172	2	no	—
261	C₂²×C₄	—	172	2	no	—
262	C₂²×C₄	C₂²⋊Dic₄₃	1	2	yes	—
263	C₂²×C₄	C₂²⋊Dic₄₃	1	2	yes	—
264	C₂²×C₄	C₂×Dic₈₆	1	1	yes	characteristic
265	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
266	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
267	C₂²×C₄	#10621898	1	1	yes	characteristic
268	C₂²×C₄	#10621898	1	1	yes	characteristic
269	C₂²×C₄	#10621898	1	2	yes	—
270	C₂²×C₄	#10621898	1	2	yes	—
271	C₂²×C₄	#10621898	1	2	yes	—
272	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
273	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
274	M₁₆	—	86	4	no	—
275	M₁₆	—	86	4	no	—
276	M₁₆	—	172	2	no	—
277	M₁₆	—	172	2	no	—
278	C₂×C₈	—	86	4	no	—
279	C₂×C₈	—	172	2	no	—
280	C₂×C₈	—	172	2	no	—
281	C₄⋊C₄	—	2	1	no	—
282	C₄⋊C₄	—	2	1	no	—
283	C₄⋊C₄	—	2	2	no	—
284	C₄⋊C₄	C₄×Dic₄₃	1	2	yes	—
285	C₄⋊C₄	C₄×Dic₄₃	1	2	yes	—
286	C₄⋊C₄	C₄⋊Dic₄₃	1	4	yes	—
287	C₂²⋊C₄	—	2	4	no	—
288	C₂²⋊C₄	—	2	2	no	—
289	C₂²⋊C₄	—	2	2	no	—
290	C₄²	—	2	2	no	—
291	C₄²	—	2	2	no	—
292	C₄²	—	2	4	no	—
293	C₄²	—	2	2	no	—
294	C₄²	—	2	2	no	—
295	C₄²	—	2	2	no	—
296	C₄²	—	2	2	no	—
297	C₄²	—	4	4	no	—
298	C₄²	—	4	4	no	—
299	C₄²	—	86	4	no	—
300	C₄²	—	86	4	no	—
301	C₄²	—	172	2	no	—
302	C₄²	—	172	2	no	—
303	C₂³	—	2	2	no	—
304	C₂³	—	2	2	no	—
305	C₂³	C₂×C₂²⋊Dic₄₃	1	1	yes	characteristic
306	C₂³	C₄×C₂²⋊D₄₃	1	2	yes	—
307	C₂³	#13063299	1	1	yes	characteristic
308	C₂³	#13063304	1	1	yes	characteristic
309	C₂³	#13063308	1	2	yes	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	4	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	4	8	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	2	no	—
322	C₂×C₄	—	4	2	no	—
323	C₂×C₄	—	86	8	no	—
324	C₂×C₄	—	172	8	no	—
325	C₂×C₄	—	172	4	no	—
326	C₂×C₄	—	172	8	no	—
327	C₂×C₄	—	172	4	no	—
328	C₂×C₄	#13063252	1	4	yes	—
329	C₂×C₄	C₂×C₄×Dic₄₃	1	1	yes	characteristic
330	C₂×C₄	C₂×C₄⋊Dic₄₃	1	1	yes	characteristic
331	C₂×C₄	#13063282	1	2	yes	—
332	C₂×C₄	#13063282	1	2	yes	—
333	C₂×C₄	#13063284	1	1	yes	characteristic
334	C₂×C₄	#13063284	1	1	yes	characteristic
335	C₂×C₄	#13063284	1	1	yes	characteristic
336	C₂×C₄	#13063284	1	1	yes	characteristic
337	C₂×C₄	C₄×C₂²⋊D₄₃	1	2	yes	—
338	C₂×C₄	C₄×D₁₇₂	1	2	yes	—
339	C₂×C₄	C₄×Dic₈₆	1	2	yes	—
340	C₂×C₄	#13063299	1	1	yes	characteristic
341	C₂×C₄	#13063304	1	1	yes	characteristic
342	C₂×C₄	#13063308	1	2	yes	—
343	C₂×C₄	#13063313	1	2	yes	—
344	C₂×C₄	#13063317	1	2	yes	—
345	C₂×C₄	#13063319	1	2	yes	—
346	C₂×C₄	#13063319	1	2	yes	—
347	C₈	—	172	4	no	—
348	C₂²	—	2	2	no	—
349	C₂²	—	2	2	no	—
350	C₂²	—	2	2	no	—
351	C₂²	—	2	2	no	—
352	C₂²	—	2	4	no	—
353	C₂²	C₄×C₂²⋊Dic₄₃	1	1	yes	characteristic
354	C₂²	#14582759	1	1	yes	characteristic
355	C₂²	#14582762	1	1	yes	characteristic
356	C₂²	#14582783	1	2	yes	—
357	C₂²	#14582790	1	2	yes	—
358	C₂²	C₂×#13063252	1	2	yes	—
359	C₂²	#14582916	1	2	yes	—
360	C₄	—	2	4	no	—
361	C₄	—	4	4	no	—
362	C₄	—	4	2	no	—
363	C₄	—	4	2	no	—
364	C₄	—	4	2	no	—
365	C₄	—	172	8	no	—
366	C₄	#14582745	1	1	yes	characteristic
367	C₄	C₄×C₄⋊Dic₄₃	1	1	yes	characteristic
368	C₄	#14582765	1	1	yes	characteristic
369	C₄	#14582767	1	1	yes	characteristic
370	C₄	#14582783	1	2	yes	—
371	C₄	#14582790	1	2	yes	—
372	C₂	—	2	2	no	—
373	C₂	—	2	2	no	—
374	C₂	#19132822	1	1	yes	characteristic
375	C₂	C₄×#13063252	1	1	yes	characteristic
376	C₂	#19134405	1	1	yes	characteristic
377	C₂	#19134615	1	2	yes	—
378	C₂	#19134694	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄	C₂×C₂²⋊D₄₃
commutator	C₂×C₄×C₄₃	C₂×C₄²
Frattini	C₂³×C₄	C₂²×D₄₃
Fitting	C₄×#117×C₄₃	C₂
socle	C₂³×C₄₃	C₂×C₂²⋊C₄
prime radical	C₂⁴×C₄₃	C₂×D₄
cosocle	C₂³×C₄×C₄₃	C₂³
hypercenter	C₄×#117	D₄₃
hypocenter	C₄₃	#10808
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂²×C₄² ◁ C₄×#117

Complements

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

N	H ≅ G/N	type
10. #14582658	C₄	semidirect
16. C₄×C₄⋊C₄×C₄₃	C₄	semidirect
17. C₄×C₄⋊C₄×C₄₃	C₄	semidirect
200. C₄×C₄⋊C₄	Dic₄₃	semidirect
201. C₄×C₄⋊C₄	Dic₄₃	semidirect
210. C₄₃	#10808	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14582658	2
#19134289	2
C₄×C₄₃⋊#95	2
C₄×#117×C₄₃	2
#10808	43