Subgroups — #26369669

Order 12032.

674 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689553	C₂	1	1	yes	maximal, characteristic
2	#20252265	C₂	1	1	yes	maximal, characteristic, complemented
3	#20245262	C₂	1	2	yes	maximal, complemented
4	#20245257	C₂	1	2	yes	maximal, complemented
5	C₄×#13093967	C₂	1	2	yes	maximal, complemented
6	C₄×#13093968	C₂	1	2	yes	maximal, complemented
7	C₂×#15688950	C₂	1	1	yes	maximal, characteristic, complemented
8	#20245100	C₂	1	1	yes	maximal, characteristic, complemented
9	#20245098	C₂	1	1	yes	maximal, characteristic, complemented
10	#20244985	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#2951	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13094046	C₂²	1	1	yes	characteristic
13	#15689603	—	2	1	no	—
14	#15689553	C₄	1	8	yes	complemented
15	C₂×#13093970	C₂²	1	1	yes	characteristic
16	C₂×#13093968	C₂²	1	1	yes	characteristic
17	C₂×#13093967	C₂²	1	1	yes	characteristic
18	C₂×#13093965	C₂²	1	1	yes	characteristic
19	C₂×#13093964	C₂²	1	1	yes	characteristic
20	C₂²×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic
21	#15689225	—	2	2	no	—
22	C₄×Dic₁₈₈	C₂²	1	2	yes	—
23	C₄×D₃₇₆	C₂²	1	2	yes	—
24	C₂×#13093958	C₂²	1	1	yes	characteristic
25	#15689125	—	2	1	no	—
26	#15688950	C₂²	1	2	yes	—
27	#15688950	C₂²	1	2	yes	—
28	#15688927	C₂²	1	2	yes	—
29	#15688926	C₂²	1	2	yes	—
30	#15688924	C₂²	1	2	yes	—
31	#15688923	C₂²	1	2	yes	—
32	#15688899	C₂²	1	2	yes	—
33	C₄×C₄₇⋊C₁₆	C₂²	1	2	yes	—
34	C₂×#135×C₄₇	C₂²	1	1	yes	characteristic
35	C₄₇×#520	—	2	1	no	—
36	C₄₇×#440	—	2	2	no	—
37	C₄×Q₁₆×C₄₇	C₂²	1	2	yes	—
38	C₄×D₈×C₄₇	C₂²	1	2	yes	—
39	C₂×#107×C₄₇	C₂²	1	1	yes	characteristic
40	C₄₇×#417	—	2	1	no	—
41	C₄₇×#405	C₂²	1	1	yes	characteristic
42	C₂×#10625350	—	2	1	no	—
43	#13094046	—	2	2	no	—
44	#13094046	C₂×C₄	1	4	yes	complemented
45	C₂×Dic₁₈₈	C₂³	1	1	yes	characteristic
46	C₂×#10625325	—	2	1	no	—
47	C₂×D₃₇₆	C₂³	1	1	yes	characteristic
48	C₄×Dic₉₄	—	2	2	no	—
49	C₄×D₁₈₈	—	2	2	no	—
50	(C₂²⋊D₄₇)⋊C₄	—	4	2	no	—
51	#13093982	—	4	1	no	—
52	C₂×C₄⋊Dic₄₇	—	2	1	no	—
53	C₄⋊C₄×D₄₇	—	4	1	no	—
54	#13093970	C₂×C₄	1	4	yes	complemented
55	#13093968	C₂×C₄	1	4	yes	complemented
56	#13093967	C₂×C₄	1	4	yes	complemented
57	#13093965	C₂×C₄	1	4	yes	complemented
58	#13093964	—	2	2	no	—
59	C₂×C₄₇⋊C₁₆	C₂×C₄	1	4	yes	complemented
60	C₂×C₄₇⋊C₁₆	C₂³	1	2	yes	—
61	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
62	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
63	#13093958	—	2	1	no	—
64	#13093958	C₂³	1	2	yes	—
65	#13093949	—	2	2	no	—
66	#13093946	—	2	2	no	—
67	C₂×#41×C₄₇	—	2	1	no	—
68	#135×C₄₇	—	2	2	no	—
69	#135×C₄₇	C₂×C₄	1	4	yes	complemented
70	C₂×Q₁₆×C₄₇	C₂³	1	1	yes	characteristic
71	C₂×SD₁₆×C₄₇	—	2	1	no	—
72	C₂×D₈×C₄₇	C₂³	1	1	yes	characteristic
73	C₂×M₁₆×C₄₇	D₄	1	1	yes	characteristic
74	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
75	C₄×Q₈×C₄₇	—	2	2	no	—
76	C₄×D₄×C₄₇	—	2	2	no	—
77	C₄×D₄×C₄₇	—	4	2	no	—
78	#117×C₄₇	—	4	1	no	—
79	#117×C₄₇	D₄	1	1	yes	characteristic
80	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
81	C₂×C₄⋊C₄×C₄₇	—	4	1	no	—
82	#107×C₄₇	—	2	1	no	—
83	#107×C₄₇	C₂³	1	2	yes	—
84	#103×C₄₇	—	2	2	no	—
85	#102×C₄₇	—	2	2	no	—
86	#97×C₄₇	D₄	1	2	yes	—
87	C₄×C₈×C₄₇	C₂³	1	2	yes	—
88	#41×C₄₇	—	2	4	no	—
89	#41×C₄₇	—	4	2	no	—
90	C₂×Q₈×C₄₇	—	2	1	no	—
91	C₂×D₄×C₄₇	—	2	1	no	—
92	C₂×D₄×C₄₇	—	4	1	no	—
93	C₂²×C₄×C₄₇	—	4	1	no	—
94	C₂²×C₄×C₄₇	—	4	1	no	—
95	C₂²×C₄×C₄₇	—	4	2	no	—
96	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
97	C₂×C₂²⋊D₄₇	—	4	1	no	—
98	C₂²×Dic₄₇	—	4	1	no	—
99	#10625350	—	2	4	no	—
100	#10625350	—	4	2	no	—
101	C₂×D₁₈₈	—	2	1	no	—
102	C₂×C₄×D₄₇	—	4	1	no	—
103	C₂×C₄×D₄₇	—	4	2	no	—
104	C₂×Dic₉₄	—	2	1	no	—
105	Q₁₆×C₄₇	—	2	1	no	—
106	Q₁₆×C₄₇	C₂²×C₄	1	2	yes	—
107	SD₁₆×C₄₇	—	2	4	no	—
108	D₈×C₄₇	—	2	1	no	—
109	D₈×C₄₇	C₂²×C₄	1	2	yes	—
110	M₁₆×C₄₇	—	2	2	no	—
111	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
112	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
113	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
114	C₂×C₈×C₄₇	#41	1	2	yes	—
115	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
116	C₄⋊C₄×C₄₇	—	2	2	no	—
117	C₄⋊C₄×C₄₇	—	4	1	no	—
118	C₄⋊C₄×C₄₇	—	4	2	no	—
119	C₄⋊C₄×C₄₇	D₈	1	1	yes	characteristic
120	C₄⋊C₄×C₄₇	D₈	1	1	yes	characteristic
121	C₂²⋊C₄×C₄₇	—	4	2	no	—
122	C₂²⋊C₄×C₄₇	D₈	1	2	yes	—
123	C₄²×C₄₇	—	4	2	no	—
124	C₄²×C₄₇	C₂×D₄	1	2	yes	—
125	(C₂×D₄₇)⋊C₄	—	4	2	no	—
126	C₄⋊Dic₄₇	—	2	2	no	—
127	C₄⋊Dic₄₇	—	4	1	no	—
128	Dic₄₇⋊C₄	—	4	2	no	—
129	C₄×Dic₄₇	—	4	2	no	—
130	Dic₁₈₈	—	2	1	no	—
131	Dic₁₈₈	C₂²×C₄	1	2	yes	—
132	D₃₇₆	—	2	1	no	—
133	D₃₇₆	C₂²×C₄	1	2	yes	—
134	#10625325	—	2	4	no	—
135	C₄₇⋊C₁₆	—	2	2	no	—
136	C₄₇⋊C₁₆	C₂²×C₄	1	2	yes	—
137	C₄₇⋊C₁₆	C₂²×C₄	1	2	yes	—
138	C₂³×C₄₇	—	4	1	no	—
139	C₂³×C₄₇	C₂×D₈	1	1	yes	characteristic
140	C₂²×D₄₇	—	4	1	no	—
141	Q₈×C₄₇	—	2	2	no	—
142	Q₈×C₄₇	—	4	1	no	—
143	D₄×C₄₇	—	2	2	no	—
144	D₄×C₄₇	—	4	4	no	—
145	D₄×C₄₇	—	4	1	no	—
146	C₂×C₄×C₄₇	—	4	1	no	—
147	C₂×C₄×C₄₇	—	4	4	no	—
148	C₂×C₄×C₄₇	—	4	2	no	—
149	C₂×C₄×C₄₇	—	16	2	no	—
150	C₂×C₄×C₄₇	—	16	1	no	—
151	C₂×C₄×C₄₇	C₄×D₄	1	2	yes	—
152	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
153	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
154	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₄₇	#135	1	2	yes	—
156	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
157	C₂²⋊D₄₇	—	4	4	no	—
158	C₂×Dic₄₇	—	4	1	no	—
159	C₂×Dic₄₇	—	4	2	no	—
160	C₂×Dic₄₇	—	16	1	no	—
161	D₁₈₈	—	2	2	no	—
162	D₁₈₈	—	4	1	no	—
163	C₄×D₄₇	—	4	4	no	—
164	C₄×D₄₇	—	16	2	no	—
165	Dic₉₄	—	2	2	no	—
166	Dic₉₄	—	4	1	no	—
167	C₈×C₄₇	—	2	2	no	—
168	C₈×C₄₇	C₄×D₄	1	2	yes	—
169	C₈×C₄₇	C₂³×C₄	1	1	yes	characteristic
170	C₈×C₄₇	C₂×#41	1	1	yes	characteristic
171	#33460	—	47	1	no	maximal, Sylow
172	C₂²×C₄₇	—	2	1	no	—
173	C₂²×C₄₇	—	2	1	no	—
174	C₂²×C₄₇	—	4	2	no	—
175	C₂²×C₄₇	—	8	1	no	—
176	C₂²×C₄₇	—	8	1	no	—
177	C₂²×C₄₇	C₄×D₈	1	2	yes	—
178	C₂²×C₄₇	C₂²×D₈	1	1	yes	characteristic
179	C₂×D₄₇	—	4	2	no	—
180	C₂×D₄₇	—	8	1	no	—
181	C₂×D₄₇	—	8	1	no	—
182	C₄×C₄₇	—	2	2	no	—
183	C₄×C₄₇	—	2	2	no	—
184	C₄×C₄₇	—	4	2	no	—
185	C₄×C₄₇	—	8	2	no	—
186	C₄×C₄₇	C₄×D₈	1	2	yes	—
187	C₄×C₄₇	C₂×C₄×D₄	1	1	yes	characteristic
188	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
189	Dic₄₇	—	4	2	no	—
190	Dic₄₇	—	8	2	no	—
191	C₂×#508	—	47	1	no	—
192	#2951	—	47	1	no	—
193	#2951	D₄₇	1	1	yes	characteristic, complemented
194	#2177	—	47	2	no	—
195	#2176	—	47	2	no	—
196	C₄×SD₃₂	—	47	2	no	—
197	C₄×SD₃₂	—	47	2	no	—
198	C₂×#367	—	47	1	no	—
199	#2139	—	47	1	no	—
200	#2139	—	47	1	no	—
201	#2108	—	47	1	no	—
202	C₂×C₄₇	—	2	2	no	—
203	C₂×C₄₇	—	8	2	no	—
204	C₂×C₄₇	C₂×C₄×D₈	1	1	yes	characteristic
205	C₂×C₄₇	#3416	1	1	yes	characteristic
206	C₂×C₄₇	#3416	1	1	yes	characteristic
207	D₄₇	—	8	2	no	—
208	C₂×#135	—	47	1	no	—
209	C₂×#135	C₂×D₄₇	1	1	yes	characteristic
210	#520	—	2	1	no	—
211	#520	—	94	1	no	—
212	#508	—	47	8	no	—
213	C₂×Q₃₂	—	47	1	no	—
214	C₂×SD₃₂	—	47	1	no	—
215	C₂×SD₃₂	—	47	1	no	—
216	C₂×D₁₆	—	47	1	no	—
217	C₂×M₃₂	—	47	1	no	—
218	C₂²×C₁₆	—	47	1	no	—
219	#440	—	2	2	no	—
220	#440	—	94	2	no	—
221	C₄×Q₁₆	—	47	2	no	—
222	C₄×Q₁₆	C₂×D₄₇	1	2	yes	—
223	C₄×D₈	—	47	2	no	—
224	C₄×D₈	C₂×D₄₇	1	2	yes	—
225	C₂×#107	—	47	1	no	—
226	C₂×#107	C₂×D₄₇	1	1	yes	characteristic
227	#417	—	2	1	no	—
228	#417	—	94	1	no	—
229	#405	C₂×D₄₇	1	1	yes	characteristic
230	#367	—	47	2	no	—
231	#367	—	47	2	no	—
232	#358	—	47	2	no	—
233	#358	—	47	2	no	—
234	#357	—	47	2	no	—
235	#357	—	47	2	no	—
236	#346	—	47	2	no	—
237	C₄×C₁₆	—	47	2	no	—
238	C₄₇	#33460	1	1	yes	characteristic, complemented, Sylow
239	C₂×#41	—	2	1	no	—
240	C₂×#41	—	94	1	no	—
241	#135	—	2	2	no	—
242	#135	—	47	4	no	—
243	#135	—	94	2	no	—
244	#135	C₄×D₄₇	1	4	yes	complemented
245	C₂×Q₁₆	—	47	1	no	—
246	C₂×Q₁₆	C₂²×D₄₇	1	1	yes	characteristic
247	C₂×SD₁₆	—	2	1	no	—
248	C₂×SD₁₆	—	94	1	no	—
249	C₂×D₈	—	47	1	no	—
250	C₂×D₈	C₂²×D₄₇	1	1	yes	characteristic
251	C₂×M₁₆	C₂²⋊D₄₇	1	1	yes	characteristic
252	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
253	C₄×Q₈	—	2	2	no	—
254	C₄×Q₈	—	94	2	no	—
255	C₄×D₄	—	2	2	no	—
256	C₄×D₄	—	4	2	no	—
257	C₄×D₄	—	94	2	no	—
258	C₄×D₄	—	188	2	no	—
259	#117	—	4	1	no	—
260	#117	—	188	1	no	—
261	#117	C₂²⋊D₄₇	1	1	yes	characteristic
262	C₂×C₄⋊C₄	—	2	1	no	—
263	C₂×C₄⋊C₄	—	4	1	no	—
264	C₂×C₄⋊C₄	—	94	1	no	—
265	C₂×C₄⋊C₄	—	188	1	no	—
266	Q₃₂	—	47	4	no	—
267	SD₃₂	—	47	4	no	—
268	SD₃₂	—	47	4	no	—
269	D₁₆	—	47	4	no	—
270	M₃₂	—	94	2	no	—
271	C₂×C₁₆	—	47	4	no	—
272	C₂×C₁₆	—	47	1	no	—
273	C₂×C₁₆	—	47	1	no	—
274	C₂×C₁₆	—	47	2	no	—
275	#107	—	2	1	no	—
276	#107	—	47	2	no	—
277	#107	—	94	1	no	—
278	#107	C₂²×D₄₇	1	2	yes	—
279	#103	—	2	2	no	—
280	#103	—	94	2	no	—
281	#102	—	2	2	no	—
282	#102	—	94	2	no	—
283	#97	C₂²⋊D₄₇	1	2	yes	—
284	C₄×C₈	C₂²×D₄₇	1	2	yes	—
285	#41	—	2	4	no	—
286	#41	—	4	2	no	—
287	#41	—	94	4	no	—
288	#41	—	188	2	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×Q₈	—	94	1	no	—
291	C₂×D₄	—	2	1	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	94	1	no	—
294	C₂×D₄	—	188	1	no	—
295	C₂²×C₄	—	4	1	no	—
296	C₂²×C₄	—	4	1	no	—
297	C₂²×C₄	—	4	2	no	—
298	C₂²×C₄	—	188	1	no	—
299	C₂²×C₄	—	188	1	no	—
300	C₂²×C₄	—	188	2	no	—
301	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
302	Q₁₆	—	2	1	no	—
303	Q₁₆	—	47	2	no	—
304	Q₁₆	—	94	1	no	—
305	Q₁₆	C₂×C₄×D₄₇	1	2	yes	—
306	SD₁₆	—	2	4	no	—
307	SD₁₆	—	94	4	no	—
308	D₈	—	2	1	no	—
309	D₈	—	47	2	no	—
310	D₈	—	94	1	no	—
311	D₈	C₂×C₄×D₄₇	1	2	yes	—
312	M₁₆	—	2	2	no	—
313	C₂×C₈	C₂×C₄×D₄₇	1	2	yes	—
314	C₂×C₈	#10625350	1	2	yes	—
315	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
316	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
317	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	4	1	no	—
320	C₄⋊C₄	—	4	2	no	—
321	C₄⋊C₄	—	94	2	no	—
322	C₄⋊C₄	—	188	2	no	—
323	C₄⋊C₄	—	188	1	no	—
324	C₄⋊C₄	#10625334	1	1	yes	characteristic
325	C₄⋊C₄	#10625334	1	1	yes	characteristic
326	C₂²⋊C₄	—	4	2	no	—
327	C₂²⋊C₄	—	188	2	no	—
328	C₂²⋊C₄	#10625334	1	2	yes	—
329	C₄²	—	4	2	no	—
330	C₄²	—	188	2	no	—
331	C₄²	C₂×C₂²⋊D₄₇	1	2	yes	—
332	C₁₆	—	47	2	no	—
333	C₁₆	—	47	2	no	—
334	C₁₆	—	94	2	no	—
335	C₂³	—	4	1	no	—
336	C₂³	—	188	1	no	—
337	C₂³	C₂×#10625334	1	1	yes	characteristic
338	Q₈	—	2	2	no	—
339	Q₈	—	4	1	no	—
340	Q₈	—	94	2	no	—
341	Q₈	—	188	1	no	—
342	D₄	—	2	2	no	—
343	D₄	—	4	4	no	—
344	D₄	—	4	1	no	—
345	D₄	—	94	2	no	—
346	D₄	—	188	4	no	—
347	D₄	—	188	1	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	4	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	16	2	no	—
352	C₂×C₄	—	16	1	no	—
353	C₂×C₄	—	188	2	no	—
354	C₂×C₄	—	188	1	no	—
355	C₂×C₄	—	188	4	no	—
356	C₂×C₄	—	752	2	no	—
357	C₂×C₄	—	752	1	no	—
358	C₂×C₄	C₄×C₂²⋊D₄₇	1	2	yes	—
359	C₂×C₄	C₂×#10625334	1	2	yes	—
360	C₂×C₄	C₂×#10625334	1	2	yes	—
361	C₂×C₄	C₂×#10625334	1	1	yes	characteristic
362	C₂×C₄	#13094044	1	2	yes	—
363	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
364	C₈	—	2	2	no	—
365	C₈	C₄×C₂²⋊D₄₇	1	2	yes	—
366	C₈	C₂²×C₄×D₄₇	1	1	yes	characteristic
367	C₈	C₂×#10625350	1	1	yes	characteristic
368	C₂²	—	2	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	4	2	no	—
371	C₂²	—	8	1	no	—
372	C₂²	—	8	1	no	—
373	C₂²	—	376	1	no	—
374	C₂²	—	376	1	no	—
375	C₂²	—	188	2	no	—
376	C₂²	C₄×#10625334	1	2	yes	—
377	C₂²	C₂²×#10625334	1	1	yes	characteristic
378	C₄	—	2	2	no	—
379	C₄	—	2	2	no	—
380	C₄	—	4	2	no	—
381	C₄	—	8	2	no	—
382	C₄	—	376	2	no	—
383	C₄	—	188	2	no	—
384	C₄	C₄×#10625334	1	2	yes	—
385	C₄	C₂×C₄×C₂²⋊D₄₇	1	1	yes	characteristic
386	C₄	C₂×#13094044	1	1	yes	characteristic
387	C₂	—	2	2	no	—
388	C₂	—	8	2	no	—
389	C₂	—	376	2	no	—
390	C₂	C₂×C₄×#10625334	1	1	yes	characteristic
391	C₂	#20256532	1	1	yes	characteristic
392	C₂	#20256535	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#10625334
commutator	C₈×C₄₇	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₄₇×#2951	C₂
socle	C₂²×C₄₇	C₂²×D₈
prime radical	C₂×#15689553	C₂
cosocle	C₂×C₈×C₄₇	C₂⁴
hypercenter	#2951	D₄₇
hypocenter	C₄₇	#33460
LCS	G ▷ C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #405 ◁ #2951

Complements

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

N	H ≅ G/N	type
2. #20252265	C₂	semidirect
3. #20245262	C₂	semidirect
4. #20245257	C₂	semidirect
5. C₄×#13093967	C₂	semidirect
6. C₄×#13093968	C₂	semidirect
7. C₂×#15688950	C₂	semidirect
8. #20245100	C₂	semidirect
9. #20245098	C₂	semidirect
10. #20244985	C₂	semidirect
11. C₄₇×#2951	C₂	semidirect
14. #15689553	C₄	semidirect
44. #13094046	C₂×C₄	semidirect
54. #13093970	C₂×C₄	semidirect
55. #13093968	C₂×C₄	semidirect
56. #13093967	C₂×C₄	semidirect
57. #13093965	C₂×C₄	semidirect
59. C₂×C₄₇⋊C₁₆	C₂×C₄	semidirect
69. #135×C₄₇	C₂×C₄	semidirect
193. #2951	D₄₇	semidirect
238. C₄₇	#33460	semidirect
244. #135	C₄×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#15689553	2
#20252265	2
#20245262	2
#20245257	2
C₄×#13093967	2
C₄×#13093968	2
C₂×#15688950	2
#20245100	2
#20245098	2
#20244985	2
C₄₇×#2951	2
#33460	47