Subgroups — #24992506

Order 11008.

566 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19137505	C₂	1	1	yes	maximal, characteristic
2	#19133159	C₂	1	1	yes	maximal, characteristic, complemented
3	#19133094	C₂	1	1	yes	maximal, characteristic, complemented
4	#19132986	C₂	1	1	yes	maximal, characteristic
5	#19132496	C₂	1	1	yes	maximal, characteristic, complemented
6	#19132455	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#3077	C₂	1	1	yes	maximal, characteristic
8	C₂×D₄×Dic₄₃	—	2	1	no	—
9	#14582952	C₂²	1	1	yes	characteristic
10	#14582952	C₂²	1	1	yes	characteristic
11	#14582798	—	2	1	no	—
12	#14582774	—	2	2	no	—
13	#14582765	C₂²	1	1	yes	characteristic
14	#14582759	—	2	1	no	—
15	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
16	C₂×C₄₃⋊#95	—	2	1	no	—
17	#14582636	—	2	1	no	—
18	#14582636	—	2	1	no	—
19	#14582636	—	2	2	no	—
20	D₄⋊(C₄₃⋊C₈)	—	2	2	no	—
21	C₄₃×#533	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
23	C₄₃×#478	—	2	2	no	—
24	C₄₃×#476	C₄	1	2	yes	complemented
25	C₄₃×#474	C₄	1	2	yes	complemented
26	C₄₃×#428	—	2	1	no	—
27	C₄₃×#423	C₂²	1	1	yes	characteristic
28	C₄₃×#418	—	2	1	no	—
29	C₂³×Dic₄₃	—	2	2	no	—
30	D₄×Dic₄₃	—	4	2	no	—
31	D₄×Dic₄₃	—	4	2	no	—
32	C₂×C₄⋊Dic₄₃	—	2	1	no	—
33	C₂×C₄⋊Dic₄₃	—	2	1	no	—
34	C₂×C₄⋊Dic₄₃	—	2	2	no	—
35	C₂×C₂²⋊Dic₄₃	—	2	2	no	—
36	C₂×C₄×Dic₄₃	—	2	1	no	—
37	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
38	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
39	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
40	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
41	C₄×C₄₃⋊C₈	—	2	1	no	—
42	C₄×C₄₃⋊C₈	—	2	1	no	—
43	C₄₃⋊#95	—	2	2	no	—
44	C₄₃⋊#95	—	2	1	no	—
45	C₄₃⋊#95	D₄	1	1	yes	characteristic
46	C₄₃⋊#95	D₄	1	1	yes	characteristic
47	C₄₃⋊#95	D₄	1	2	yes	—
48	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
49	C₂³×C₄×C₄₃	—	2	1	no	—
50	C₂×M₁₆×C₄₃	—	2	1	no	—
51	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic, complemented
52	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic, complemented
53	#125×C₄₃	—	2	1	no	—
54	C₂²⋊Q₈×C₄₃	—	2	1	no	—
55	C₂²⋊Q₈×C₄₃	—	2	1	no	—
56	C₄×Q₈×C₄₃	—	2	1	no	—
57	C₄×Q₈×C₄₃	—	2	1	no	—
58	C₄×D₄×C₄₃	—	2	1	no	—
59	C₄×D₄×C₄₃	—	2	1	no	—
60	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
61	C₄×D₄×C₄₃	D₄	1	2	yes	—
62	#117×C₄₃	—	2	1	no	—
63	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
65	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
66	#107×C₄₃	—	2	2	no	—
67	#106×C₄₃	—	2	2	no	—
68	C₄⋊C₈×C₄₃	—	2	1	no	—
69	C₄⋊C₈×C₄₃	C₂×C₄	1	2	yes	complemented
70	#102×C₄₃	—	2	2	no	—
71	#102×C₄₃	—	2	2	no	—
72	C₂⁴×C₄₃	—	2	1	no	—
73	C₂×Q₈×C₄₃	—	2	1	no	—
74	C₂×Q₈×C₄₃	—	2	1	no	—
75	C₂×D₄×C₄₃	—	2	1	no	—
76	C₂×D₄×C₄₃	—	2	1	no	—
77	C₂×D₄×C₄₃	—	2	1	no	—
78	C₂×D₄×C₄₃	C₂²⋊C₄	1	2	yes	—
79	C₂×D₄×C₄₃	SD₁₆	1	2	yes	—
80	C₂×D₄×C₄₃	Q₁₆	1	2	yes	—
81	C₂²×C₄×C₄₃	—	2	2	no	—
82	C₂²×C₄×C₄₃	—	2	2	no	—
83	C₂²×C₄×C₄₃	—	2	1	no	—
84	C₂²×C₄×C₄₃	—	8	2	no	—
85	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
88	C₂²×Dic₄₃	—	2	1	no	—
89	C₂²×Dic₄₃	—	2	2	no	—
90	C₂²×Dic₄₃	—	2	1	no	—
91	C₂²×Dic₄₃	—	4	4	no	—
92	C₂²×Dic₄₃	—	4	4	no	—
93	C₂²×Dic₄₃	—	8	2	no	—
94	M₁₆×C₄₃	—	4	1	no	—
95	M₁₆×C₄₃	—	4	1	no	—
96	C₂×C₈×C₄₃	—	2	2	no	—
97	C₄⋊C₄×C₄₃	—	2	1	no	—
98	C₄⋊C₄×C₄₃	—	2	1	no	—
99	C₄⋊C₄×C₄₃	—	2	1	no	—
100	C₄⋊C₄×C₄₃	—	2	1	no	—
101	C₄⋊C₄×C₄₃	—	2	1	no	—
102	C₄⋊C₄×C₄₃	—	4	1	no	—
103	C₄⋊C₄×C₄₃	—	4	1	no	—
104	C₄⋊C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
105	C₂²⋊C₄×C₄₃	—	2	2	no	—
106	C₂²⋊C₄×C₄₃	—	2	2	no	—
107	C₂²⋊C₄×C₄₃	—	4	1	no	—
108	C₄²×C₄₃	—	4	1	no	—
109	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
110	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
111	C₄²×C₄₃	#41	1	1	yes	characteristic
112	C₄²×C₄₃	#41	1	1	yes	characteristic
113	C₂²⋊Dic₄₃	—	4	4	no	—
114	C₄⋊Dic₄₃	—	4	2	no	—
115	C₄⋊Dic₄₃	—	4	1	no	—
116	C₄⋊Dic₄₃	—	4	1	no	—
117	C₄⋊Dic₄₃	—	8	2	no	—
118	C₄×Dic₄₃	—	4	1	no	—
119	C₄×Dic₄₃	—	4	1	no	—
120	C₂×C₄₃⋊C₈	—	4	1	no	—
121	C₂×C₄₃⋊C₈	—	4	1	no	—
122	C₂³×C₄₃	—	2	2	no	—
123	C₂³×C₄₃	—	2	2	no	—
124	C₂³×C₄₃	—	2	2	no	—
125	C₂³×C₄₃	—	4	2	no	—
126	C₂³×C₄₃	—	4	2	no	—
127	C₂³×C₄₃	#120	1	1	yes	characteristic
128	Q₈×C₄₃	—	8	1	no	—
129	Q₈×C₄₃	—	8	1	no	—
130	D₄×C₄₃	—	2	2	no	—
131	D₄×C₄₃	—	2	2	no	—
132	D₄×C₄₃	—	2	2	no	—
133	D₄×C₄₃	#103	1	4	yes	—
134	C₂×C₄×C₄₃	—	2	2	no	—
135	C₂×C₄×C₄₃	—	4	1	no	—
136	C₂×C₄×C₄₃	—	4	1	no	—
137	C₂×C₄×C₄₃	—	4	2	no	—
138	C₂×C₄×C₄₃	—	4	1	no	—
139	C₂×C₄×C₄₃	—	4	1	no	—
140	C₂×C₄×C₄₃	—	8	2	no	—
141	C₂×C₄×C₄₃	—	8	2	no	—
142	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
143	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
146	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
147	C₂×C₄×C₄₃	#123	1	1	yes	characteristic
148	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₂×Q₁₆	1	1	yes	characteristic
150	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
151	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
152	C₂×Dic₄₃	—	2	2	no	—
153	C₂×Dic₄₃	—	4	1	no	—
154	C₂×Dic₄₃	—	4	1	no	—
155	C₂×Dic₄₃	—	4	1	no	—
156	C₂×Dic₄₃	—	4	1	no	—
157	C₂×Dic₄₃	—	4	2	no	—
158	C₂×Dic₄₃	—	4	2	no	—
159	C₂×Dic₄₃	—	4	1	no	—
160	C₂×Dic₄₃	—	4	2	no	—
161	C₂×Dic₄₃	—	8	8	no	—
162	C₈×C₄₃	—	4	2	no	—
163	C₄₃⋊C₈	—	8	1	no	—
164	C₄₃⋊C₈	—	8	1	no	—
165	#9175	—	43	1	no	maximal, Sylow
166	C₂²×C₄₃	—	2	1	no	—
167	C₂²×C₄₃	—	2	1	no	—
168	C₂²×C₄₃	—	2	4	no	—
169	C₂²×C₄₃	—	4	4	no	—
170	C₂²×C₄₃	—	4	4	no	—
171	C₂²×C₄₃	—	4	2	no	—
172	C₂²×C₄₃	—	4	2	no	—
173	C₂²×C₄₃	#386	1	1	yes	characteristic
174	C₂²×C₄₃	#450	1	1	yes	characteristic
175	C₂²×C₄₃	#451	1	1	yes	characteristic
176	C₄×C₄₃	—	2	1	no	—
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	—	2	1	no	—
179	C₄×C₄₃	—	2	1	no	—
180	C₄×C₄₃	—	4	2	no	—
181	C₄×C₄₃	—	8	1	no	—
182	C₄×C₄₃	—	8	1	no	—
183	C₄×C₄₃	C₂×#103	1	1	yes	characteristic
184	C₄×C₄₃	#417	1	1	yes	characteristic
185	C₄×C₄₃	#483	1	1	yes	characteristic
186	C₄×C₄₃	#484	1	1	yes	characteristic
187	Dic₄₃	—	4	2	no	—
188	Dic₄₃	—	8	1	no	—
189	Dic₄₃	—	8	2	no	—
190	#3077	D₄₃	1	1	yes	characteristic
191	#2349	—	43	1	no	—
192	#1518	—	43	1	no	—
193	#1503	—	43	1	no	—
194	#1478	—	43	1	no	—
195	#1303	—	43	1	no	—
196	#1286	—	43	1	no	—
197	C₂×C₄₃	—	2	1	no	—
198	C₂×C₄₃	—	2	1	no	—
199	C₂×C₄₃	—	4	4	no	—
200	C₂×C₄₃	#1872	1	1	yes	characteristic
201	C₂×C₄₃	#1904	1	1	yes	characteristic
202	C₂×C₄₃	#1906	1	1	yes	characteristic
203	#533	C₂×D₄₃	1	1	yes	characteristic
204	C₂×C₄×D₄	—	86	1	no	—
205	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
206	#478	—	2	2	no	—
207	#476	Dic₄₃	1	2	yes	complemented
208	#474	Dic₄₃	1	2	yes	complemented
209	#431	—	43	1	no	—
210	#431	—	43	1	no	—
211	#428	—	2	1	no	—
212	#423	C₂×D₄₃	1	1	yes	characteristic
213	#418	—	2	1	no	—
214	#389	—	86	1	no	—
215	#385	—	86	2	no	—
216	#382	—	43	1	no	—
217	#380	—	86	1	no	—
218	C₄×C₄⋊C₄	—	43	1	no	—
219	C₂×#95	—	86	1	no	—
220	#328	—	86	1	no	—
221	#328	—	86	1	no	—
222	#328	—	86	2	no	—
223	D₄⋊C₈	—	86	2	no	—
224	C₄₃	#9175	1	1	yes	characteristic, complemented, Sylow
225	C₂²×D₄	C₂²⋊D₄₃	1	1	yes	characteristic
226	C₂³×C₄	—	2	1	no	—
227	C₂³×C₄	—	86	2	no	—
228	C₂×M₁₆	—	2	1	no	—
229	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic, complemented
230	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic, complemented
231	#125	—	2	1	no	—
232	C₂²⋊Q₈	—	2	1	no	—
233	C₂²⋊Q₈	—	2	1	no	—
234	C₄×Q₈	—	2	1	no	—
235	C₄×Q₈	—	2	1	no	—
236	C₄×D₄	—	2	1	no	—
237	C₄×D₄	—	2	1	no	—
238	C₄×D₄	—	172	2	no	—
239	C₄×D₄	—	172	2	no	—
240	C₄×D₄	C₂×Dic₄₃	1	2	yes	—
241	C₄×D₄	C₂²⋊D₄₃	1	2	yes	—
242	#117	—	2	1	no	—
243	C₂×C₄⋊C₄	—	86	2	no	—
244	C₂×C₄⋊C₄	—	86	1	no	—
245	C₂×C₄⋊C₄	—	86	1	no	—
246	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	1	yes	characteristic
247	C₂×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₂²⋊C₄	—	86	2	no	—
249	C₂×C₄²	—	86	1	no	—
250	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
251	#107	—	2	2	no	—
252	#106	—	2	2	no	—
253	C₄⋊C₈	—	2	1	no	—
254	C₄⋊C₈	—	86	1	no	—
255	C₄⋊C₈	—	86	1	no	—
256	C₄⋊C₈	C₂×Dic₄₃	1	2	yes	complemented
257	#102	—	2	2	no	—
258	#102	—	2	2	no	—
259	C₂²⋊C₈	—	86	1	no	—
260	C₂²⋊C₈	—	86	1	no	—
261	C₄×C₈	—	86	1	no	—
262	C₄×C₈	—	86	1	no	—
263	#95	—	43	1	no	—
264	#95	—	43	1	no	—
265	#95	—	43	2	no	—
266	#95	—	86	2	no	—
267	#95	—	86	1	no	—
268	C₂⁴	—	2	1	no	—
269	C₂×Q₈	—	2	1	no	—
270	C₂×Q₈	—	2	1	no	—
271	C₂×D₄	—	2	1	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	#10621884	1	2	yes	—
275	C₂×D₄	#10621885	1	2	yes	—
276	C₂×D₄	C₂²⋊Dic₄₃	1	2	yes	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	2	no	—
280	C₂²×C₄	—	8	2	no	—
281	C₂²×C₄	—	86	1	no	—
282	C₂²×C₄	—	86	2	no	—
283	C₂²×C₄	—	86	1	no	—
284	C₂²×C₄	—	344	2	no	—
285	C₂²×C₄	—	172	4	no	—
286	C₂²×C₄	—	172	4	no	—
287	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
288	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
289	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
290	M₁₆	—	4	1	no	—
291	M₁₆	—	4	1	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	172	1	no	—
294	C₂×C₈	—	172	1	no	—
295	C₄⋊C₄	—	2	1	no	—
296	C₄⋊C₄	—	2	1	no	—
297	C₄⋊C₄	—	2	1	no	—
298	C₄⋊C₄	—	2	1	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	4	1	no	—
301	C₄⋊C₄	—	4	1	no	—
302	C₄⋊C₄	—	344	2	no	—
303	C₄⋊C₄	—	172	2	no	—
304	C₄⋊C₄	—	172	1	no	—
305	C₄⋊C₄	—	172	1	no	—
306	C₄⋊C₄	C₂²⋊Dic₄₃	1	2	yes	—
307	C₂²⋊C₄	—	2	2	no	—
308	C₂²⋊C₄	—	2	2	no	—
309	C₂²⋊C₄	—	4	1	no	—
310	C₂²⋊C₄	—	172	4	no	—
311	C₄²	—	4	1	no	—
312	C₄²	—	172	1	no	—
313	C₄²	—	172	1	no	—
314	C₄²	#10621900	1	1	yes	characteristic
315	C₄²	#10621900	1	1	yes	characteristic
316	C₄²	C₂²×Dic₄₃	1	1	yes	characteristic
317	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
318	C₂³	—	2	2	no	—
319	C₂³	—	2	2	no	—
320	C₂³	—	2	2	no	—
321	C₂³	—	4	2	no	—
322	C₂³	—	4	2	no	—
323	C₂³	#13063293	1	1	yes	characteristic
324	Q₈	—	8	1	no	—
325	Q₈	—	8	1	no	—
326	D₄	—	2	2	no	—
327	D₄	—	2	2	no	—
328	D₄	—	2	2	no	—
329	D₄	#13063249	1	4	yes	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	8	2	no	—
337	C₂×C₄	—	8	2	no	—
338	C₂×C₄	—	86	2	no	—
339	C₂×C₄	—	344	8	no	—
340	C₂×C₄	—	172	1	no	—
341	C₂×C₄	—	172	2	no	—
342	C₂×C₄	—	172	1	no	—
343	C₂×C₄	—	172	2	no	—
344	C₂×C₄	—	172	1	no	—
345	C₂×C₄	—	172	2	no	—
346	C₂×C₄	—	172	1	no	—
347	C₂×C₄	—	172	1	no	—
348	C₂×C₄	C₂×C₂²⋊Dic₄₃	1	1	yes	characteristic
349	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
350	C₂×C₄	D₄×Dic₄₃	1	1	yes	characteristic
351	C₂×C₄	#13063297	1	1	yes	characteristic
352	C₂×C₄	#13063297	1	1	yes	characteristic
353	C₂×C₄	#13063306	1	1	yes	characteristic
354	C₂×C₄	C₂×#10621884	1	1	yes	characteristic
355	C₂×C₄	C₂×#10621885	1	1	yes	characteristic
356	C₂×C₄	#13063350	1	1	yes	characteristic
357	C₂×C₄	#13063355	1	1	yes	characteristic
358	C₈	—	4	2	no	—
359	C₈	—	344	1	no	—
360	C₈	—	344	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	4	no	—
364	C₂²	—	4	4	no	—
365	C₂²	—	4	4	no	—
366	C₂²	—	4	2	no	—
367	C₂²	—	4	2	no	—
368	C₂²	#14582779	1	1	yes	characteristic
369	C₂²	#14583049	1	1	yes	characteristic
370	C₂²	#14583054	1	1	yes	characteristic
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	4	2	no	—
376	C₄	—	8	1	no	—
377	C₄	—	8	1	no	—
378	C₄	—	344	2	no	—
379	C₄	—	344	1	no	—
380	C₄	—	172	2	no	—
381	C₄	C₂×#13063249	1	1	yes	characteristic
382	C₄	#14582900	1	1	yes	characteristic
383	C₄	#14583227	1	1	yes	characteristic
384	C₄	#14583232	1	1	yes	characteristic
385	C₂	—	2	1	no	—
386	C₂	—	2	1	no	—
387	C₂	—	4	4	no	—
388	C₂	#19134903	1	1	yes	characteristic
389	C₂	#19135084	1	1	yes	characteristic
390	C₂	#19135098	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#14582779
commutator	C₄²×C₄₃	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₄₃×#3077	C₂
socle	C₂²×C₄₃	#386
prime radical	C₂²×D₄×C₄₃	D₄
cosocle	C₂×C₄²×C₄₃	C₂³
hypercenter	#3077	D₄₃
hypocenter	C₄₃	#9175
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3077

Complements

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

N	H ≅ G/N	type
2. #19133159	C₂	semidirect
3. #19133094	C₂	semidirect
5. #19132496	C₂	semidirect
6. #19132455	C₂	semidirect
24. C₄₃×#476	C₄	semidirect
25. C₄₃×#474	C₄	semidirect
51. C₄⋊Q₈×C₄₃	C₂×C₄	semidirect
52. C₄⋊Q₈×C₄₃	C₂×C₄	semidirect
69. C₄⋊C₈×C₄₃	C₂×C₄	semidirect
207. #476	Dic₄₃	semidirect
208. #474	Dic₄₃	semidirect
224. C₄₃	#9175	semidirect
229. C₄⋊Q₈	C₂×Dic₄₃	semidirect
230. C₄⋊Q₈	C₂×Dic₄₃	semidirect
256. C₄⋊C₈	C₂×Dic₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19137505	2
#19133159	2
#19133094	2
#19132986	2
#19132496	2
#19132455	2
C₄₃×#3077	2
#9175	43