Subgroups — #25088188

Order 11008.

692 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19147570	C₂	1	1	yes	maximal, characteristic, complemented
2	#19146924	C₂	1	2	yes	maximal, complemented
3	#19146317	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134201	C₂	1	1	yes	maximal, characteristic, complemented
5	#19134157	C₂	1	2	yes	maximal, complemented
6	#19133965	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133950	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133798	C₂	1	2	yes	maximal, complemented
9	#19133687	C₂	1	2	yes	maximal, complemented
10	#19133481	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×SD₁₆×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063347	—	2	1	no	—
13	#14583571	C₂²	1	2	yes	—
14	#14583554	C₂²	1	2	yes	—
15	#14583279	C₂²	1	1	yes	characteristic
16	#14583276	—	2	1	no	—
17	#14583276	C₂²	1	1	yes	characteristic
18	#14583246	C₂²	1	2	yes	—
19	#14583246	C₂²	1	2	yes	—
20	#14583219	—	2	2	no	—
21	#14583184	C₂²	1	2	yes	—
22	#14583151	—	2	2	no	—
23	#14583140	—	2	1	no	—
24	#14583105	C₂²	1	2	yes	—
25	#14583095	—	2	2	no	—
26	#14583095	C₂²	1	2	yes	—
27	#14583094	C₂²	1	2	yes	—
28	#14583063	—	2	2	no	—
29	#14583043	—	2	2	no	—
30	C₄×D₃₄₄	—	2	1	no	—
31	C₄×D₃₄₄	C₂²	1	1	yes	characteristic
32	#14582978	C₂²	1	2	yes	—
33	#14582899	—	2	2	no	—
34	#14582652	C₂²	1	1	yes	characteristic
35	#14582646	C₂²	1	2	yes	—
36	#14582642	C₂²	1	2	yes	—
37	#14582628	C₂²	1	2	yes	—
38	C₈×Q₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
40	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
41	C₄₃×#334	C₂²	1	1	yes	characteristic
42	C₄₃×Q₈⋊C₈	C₂²	1	1	yes	characteristic
43	C₄₃×D₄⋊C₈	C₂²	1	1	yes	characteristic
44	C₈²×C₄₃	C₂²	1	1	yes	characteristic
45	C₂×#10621902	—	2	2	no	—
46	C₂×#10621898	—	2	2	no	—
47	#13063347	—	4	4	no	—
48	C₂×Dic₁₇₂	—	2	1	no	—
49	C₂×Dic₁₇₂	—	2	1	no	—
50	C₂×#10621873	—	2	2	no	—
51	C₂×D₃₄₄	—	2	1	no	—
52	C₂×D₃₄₄	—	2	2	no	—
53	C₂×D₃₄₄	—	2	1	no	—
54	C₂×D₃₄₄	D₄	1	1	yes	characteristic
55	C₂×#10621882	—	2	2	no	—
56	C₂×#10621872	—	2	2	no	—
57	#13063325	C₂³	1	2	yes	—
58	#13063322	—	2	2	no	—
59	#13063322	C₂³	1	2	yes	—
60	#13063307	—	4	2	no	—
61	#13063304	—	2	2	no	—
62	#13063300	—	2	2	no	—
63	#13063300	—	4	2	no	—
64	#13063296	—	2	2	no	—
65	C₄×D₁₇₂	—	2	2	no	—
66	C₄×D₁₇₂	C₂³	1	2	yes	—
67	C₄⋊C₄×D₄₃	—	2	2	no	—
68	#13063259	D₄	1	1	yes	characteristic
69	#13063256	—	2	2	no	—
70	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
71	#13063250	—	2	2	no	—
72	#13063249	—	2	2	no	—
73	#13063247	—	2	2	no	—
74	#13063247	—	2	2	no	—
75	#13063247	—	2	2	no	—
76	#13063247	—	4	2	no	—
77	#13063247	D₄	1	2	yes	—
78	#13063245	—	2	2	no	—
79	(C₂×D₄₃)⋊C₈	—	2	2	no	—
80	C₂×SD₁₆×C₄₃	D₄	1	1	yes	characteristic
81	C₂²×C₈×C₄₃	—	2	1	no	—
82	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
83	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
84	#106×C₄₃	D₄	1	1	yes	characteristic
85	C₄⋊C₈×C₄₃	—	2	1	no	—
86	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
87	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
88	#103×C₄₃	D₄	1	1	yes	characteristic
89	#102×C₄₃	D₄	1	1	yes	characteristic
90	C₂²⋊C₈×C₄₃	—	2	1	no	—
91	C₄×C₈×C₄₃	—	2	1	no	—
92	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
93	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
94	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
95	C₂×Q₈×C₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₄₃	—	2	1	no	—
98	C₂×C₂²⋊D₄₃	—	4	2	no	—
99	#10621902	—	4	4	no	—
100	#10621902	—	8	2	no	—
101	#10621898	—	4	4	no	—
102	#10621898	—	8	2	no	—
103	C₂×D₁₇₂	—	2	2	no	—
104	C₂×D₁₇₂	—	2	2	no	—
105	C₂×D₁₇₂	—	2	2	no	—
106	C₂×D₁₇₂	—	4	2	no	—
107	C₂×D₁₇₂	—	4	2	no	—
108	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
109	C₂×C₄×D₄₃	—	2	2	no	—
110	C₂×C₄×D₄₃	—	4	2	no	—
111	C₂×C₄×D₄₃	—	4	2	no	—
112	C₂×Dic₈₆	—	2	2	no	—
113	SD₁₆×C₄₃	—	2	2	no	—
114	C₂×C₈×C₄₃	—	2	1	no	—
115	C₂×C₈×C₄₃	—	2	1	no	—
116	C₂×C₈×C₄₃	—	2	1	no	—
117	C₂×C₈×C₄₃	—	4	2	no	—
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
122	C₄⋊C₄×C₄₃	—	2	1	no	—
123	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
124	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
125	C₂²⋊C₄×C₄₃	—	2	1	no	—
126	C₄²×C₄₃	—	2	1	no	—
127	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
128	C₂²⋊Dic₄₃	—	4	2	no	—
129	#10621882	—	8	2	no	—
130	(C₂×D₄₃)⋊C₄	—	2	2	no	—
131	(C₂×D₄₃)⋊C₄	—	4	2	no	—
132	C₄⋊Dic₄₃	—	2	2	no	—
133	C₄⋊Dic₄₃	—	2	2	no	—
134	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
135	Dic₄₃⋊C₄	—	4	2	no	—
136	C₂×C₄₃⋊C₈	—	2	2	no	—
137	Dic₁₇₂	—	4	2	no	—
138	Dic₁₇₂	—	8	1	no	—
139	D₃₄₄	—	2	2	no	—
140	D₃₄₄	—	4	2	no	—
141	D₃₄₄	—	8	1	no	—
142	D₃₄₄	—	8	2	no	—
143	#10621873	—	4	4	no	—
144	#10621872	—	8	2	no	—
145	C₂³×C₄₃	—	2	1	no	—
146	C₂²×D₄₃	—	2	2	no	—
147	C₂²×D₄₃	—	4	2	no	—
148	Q₈×C₄₃	—	2	1	no	—
149	Q₈×C₄₃	#135	1	2	yes	complemented
150	D₄×C₄₃	—	2	1	no	—
151	D₄×C₄₃	—	2	1	no	—
152	C₂×C₄×C₄₃	—	2	1	no	—
153	C₂×C₄×C₄₃	—	2	1	no	—
154	C₂×C₄×C₄₃	—	2	1	no	—
155	C₂×C₄×C₄₃	—	4	1	no	—
156	C₂×C₄×C₄₃	—	4	1	no	—
157	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
159	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
160	C₂²⋊D₄₃	—	8	4	no	—
161	C₂×Dic₄₃	—	2	2	no	—
162	C₂×Dic₄₃	—	4	2	no	—
163	D₁₇₂	—	2	2	no	—
164	D₁₇₂	—	2	2	no	—
165	D₁₇₂	—	4	2	no	—
166	D₁₇₂	—	4	2	no	—
167	D₁₇₂	—	4	2	no	—
168	D₁₇₂	—	4	2	no	—
169	D₁₇₂	—	8	4	no	—
170	D₁₇₂	—	8	2	no	—
171	D₁₇₂	—	16	2	no	—
172	C₄×D₄₃	—	4	2	no	—
173	C₄×D₄₃	—	4	2	no	—
174	C₄×D₄₃	—	8	4	no	—
175	C₄×D₄₃	—	8	4	no	—
176	Dic₈₆	—	4	2	no	—
177	Dic₈₆	—	4	2	no	—
178	C₈×C₄₃	—	2	1	no	—
179	C₈×C₄₃	—	2	1	no	—
180	C₈×C₄₃	—	2	1	no	—
181	C₈×C₄₃	—	4	1	no	—
182	C₈×C₄₃	—	4	1	no	—
183	C₈×C₄₃	—	4	1	no	—
184	C₈×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
185	C₄₃⋊C₈	—	4	2	no	—
186	#19908	—	43	1	no	maximal, Sylow
187	C₂²×C₄₃	—	4	1	no	—
188	C₂²×C₄₃	—	4	1	no	—
189	C₂²×C₄₃	—	4	1	no	—
190	C₂²×C₄₃	D₄²	1	1	yes	characteristic
191	C₂×D₄₃	—	4	2	no	—
192	C₂×D₄₃	—	4	2	no	—
193	C₂×D₄₃	—	4	2	no	—
194	C₂×D₄₃	—	8	2	no	—
195	C₂×D₄₃	—	8	2	no	—
196	C₂×D₄₃	—	8	2	no	—
197	C₄×C₄₃	—	2	2	no	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	4	1	no	—
200	C₄×C₄₃	—	4	1	no	—
201	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
202	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
203	C₄×C₄₃	#576	1	1	yes	characteristic
204	C₄×C₄₃	#576	1	1	yes	characteristic
205	Dic₄₃	—	4	2	no	—
206	Dic₄₃	—	8	2	no	—
207	#3391	—	43	1	no	—
208	#3332	—	43	2	no	—
209	#3283	—	43	1	no	—
210	#1709	—	43	1	no	—
211	#1701	—	43	2	no	—
212	#1670	—	43	1	no	—
213	#1667	—	43	1	no	—
214	#1642	—	43	2	no	—
215	#1625	—	43	2	no	—
216	#1589	—	43	1	no	—
217	C₈×SD₁₆	D₄₃	1	1	yes	characteristic, complemented
218	C₂×C₄₃	—	8	1	no	—
219	C₂×C₄₃	#3274	1	1	yes	characteristic
220	C₂×C₄₃	#3280	1	1	yes	characteristic
221	C₂×C₄₃	#3290	1	1	yes	characteristic
222	D₄₃	—	8	2	no	—
223	D₄₃	—	16	2	no	—
224	C₂×#135	—	86	1	no	—
225	#550	—	43	2	no	—
226	#547	—	43	2	no	—
227	#494	—	43	1	no	—
228	#493	—	43	1	no	—
229	#493	—	86	1	no	—
230	#486	—	43	2	no	—
231	#486	—	43	2	no	—
232	#481	—	86	2	no	—
233	#475	—	43	2	no	—
234	#469	—	86	2	no	—
235	#467	—	86	1	no	—
236	#461	—	43	2	no	—
237	#459	—	43	2	no	—
238	#459	—	43	2	no	—
239	#459	—	86	2	no	—
240	#452	—	86	2	no	—
241	#449	—	86	2	no	—
242	C₈×Q₈	C₂×D₄₃	1	1	yes	characteristic
243	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
244	C₄×D₈	—	43	1	no	—
245	C₄×D₈	—	86	1	no	—
246	#436	—	43	2	no	—
247	C₈×D₄	C₂×D₄₃	1	1	yes	characteristic
248	#417	—	86	2	no	—
249	#335	—	43	1	no	—
250	#334	C₂×D₄₃	1	1	yes	characteristic
251	#332	—	43	2	no	—
252	#331	—	43	2	no	—
253	Q₈⋊C₈	C₂×D₄₃	1	1	yes	characteristic
254	D₄⋊C₈	—	43	2	no	—
255	D₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
256	C₈²	C₂×D₄₃	1	1	yes	characteristic
257	C₄₃	#19908	1	1	yes	characteristic, complemented, Sylow
258	C₂×#41	—	86	2	no	—
259	C₂×#41	—	86	2	no	—
260	#135	—	172	4	no	—
261	C₂×Q₁₆	—	86	1	no	—
262	C₂×Q₁₆	—	86	1	no	—
263	C₂×SD₁₆	—	86	2	no	—
264	C₂×SD₁₆	D₁₇₂	1	1	yes	characteristic
265	C₂×D₈	—	43	1	no	—
266	C₂×D₈	—	86	2	no	—
267	C₂×D₈	—	86	2	no	—
268	C₂×D₈	—	86	1	no	—
269	C₂×D₈	—	86	1	no	—
270	C₂×M₁₆	—	86	2	no	—
271	C₂²×C₈	—	2	1	no	—
272	C₄⋊Q₈	—	43	2	no	—
273	#127	—	43	2	no	—
274	#127	—	86	2	no	—
275	#123	—	172	2	no	—
276	C₂²⋊Q₈	—	86	2	no	—
277	#121	—	86	2	no	—
278	#121	—	86	2	no	—
279	#121	—	172	2	no	—
280	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
281	C₄×D₄	—	43	2	no	—
282	C₄×D₄	—	86	2	no	—
283	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
284	C₂×C₄⋊C₄	—	86	2	no	—
285	#107	—	43	1	no	—
286	#106	—	86	2	no	—
287	#106	D₁₇₂	1	1	yes	characteristic
288	C₄⋊C₈	—	2	1	no	—
289	C₄⋊C₈	—	43	2	no	—
290	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
291	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
292	#103	—	86	2	no	—
293	#103	—	86	2	no	—
294	#103	D₁₇₂	1	1	yes	characteristic
295	#102	—	43	2	no	—
296	#102	—	86	2	no	—
297	#102	—	86	2	no	—
298	#102	—	86	2	no	—
299	#102	—	86	2	no	—
300	#102	—	172	2	no	—
301	#102	D₁₇₂	1	1	yes	characteristic
302	C₂²⋊C₈	—	2	1	no	—
303	C₂²⋊C₈	—	86	2	no	—
304	C₄×C₈	—	2	1	no	—
305	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
306	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
307	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
308	#41	—	344	2	no	—
309	#41	—	344	2	no	—
310	#41	—	172	4	no	—
311	#41	—	172	4	no	—
312	C₂×Q₈	—	86	2	no	—
313	C₂×Q₈	C₂×D₁₇₂	1	1	yes	characteristic
314	C₂×D₄	—	43	2	no	—
315	C₂×D₄	—	86	2	no	—
316	C₂×D₄	—	86	2	no	—
317	C₂×D₄	—	86	2	no	—
318	C₂×D₄	—	172	2	no	—
319	C₂×D₄	—	172	2	no	—
320	C₂×D₄	—	172	2	no	—
321	C₂×D₄	C₂×D₁₇₂	1	1	yes	characteristic
322	C₂²×C₄	—	2	1	no	—
323	C₂²×C₄	—	86	2	no	—
324	C₂²×C₄	—	172	2	no	—
325	C₂²×C₄	—	172	2	no	—
326	Q₁₆	—	344	1	no	—
327	Q₁₆	—	172	2	no	—
328	SD₁₆	—	2	2	no	—
329	SD₁₆	—	172	4	no	—
330	D₈	—	86	2	no	—
331	D₈	—	344	1	no	—
332	D₈	—	344	2	no	—
333	D₈	—	344	2	no	—
334	D₈	—	172	2	no	—
335	M₁₆	—	344	2	no	—
336	C₂×C₈	—	2	1	no	—
337	C₂×C₈	—	2	1	no	—
338	C₂×C₈	—	2	1	no	—
339	C₂×C₈	—	4	2	no	—
340	C₂×C₈	—	86	2	no	—
341	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
342	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
343	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
344	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	43	2	no	—
347	C₄⋊C₄	—	86	2	no	—
348	C₄⋊C₄	—	86	2	no	—
349	C₄⋊C₄	—	172	2	no	—
350	C₄⋊C₄	C₂×D₁₇₂	1	1	yes	characteristic
351	C₄⋊C₄	C₂×D₁₇₂	1	1	yes	characteristic
352	C₂²⋊C₄	—	2	1	no	—
353	C₂²⋊C₄	—	86	2	no	—
354	C₂²⋊C₄	—	172	2	no	—
355	C₂²⋊C₄	—	172	2	no	—
356	C₄²	—	2	1	no	—
357	C₄²	C₂³×D₄₃	1	1	yes	characteristic
358	C₂³	—	2	1	no	—
359	C₂³	—	86	2	no	—
360	C₂³	—	172	2	no	—
361	Q₈	—	2	1	no	—
362	Q₈	—	172	2	no	—
363	Q₈	—	172	2	no	—
364	Q₈	#13063347	1	2	yes	complemented
365	D₄	—	2	1	no	—
366	D₄	—	2	1	no	—
367	D₄	—	86	2	no	—
368	D₄	—	86	2	no	—
369	D₄	—	344	2	no	—
370	D₄	—	344	4	no	—
371	D₄	—	344	4	no	—
372	D₄	—	172	2	no	—
373	D₄	—	172	2	no	—
374	D₄	—	172	2	no	—
375	D₄	—	172	2	no	—
376	D₄	—	688	2	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	2	1	no	—
380	C₂×C₄	—	4	1	no	—
381	C₂×C₄	—	4	1	no	—
382	C₂×C₄	—	86	2	no	—
383	C₂×C₄	—	344	4	no	—
384	C₂×C₄	—	344	4	no	—
385	C₂×C₄	—	172	2	no	—
386	C₂×C₄	—	172	2	no	—
387	C₂×C₄	—	172	2	no	—
388	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
389	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
390	C₂×C₄	#13063371	1	1	yes	characteristic
391	C₈	—	2	1	no	—
392	C₈	—	2	1	no	—
393	C₈	—	2	1	no	—
394	C₈	—	4	1	no	—
395	C₈	—	4	1	no	—
396	C₈	—	4	1	no	—
397	C₈	—	172	2	no	—
398	C₈	#13063352	1	2	yes	—
399	C₂²	—	4	1	no	—
400	C₂²	—	4	1	no	—
401	C₂²	—	4	1	no	—
402	C₂²	—	344	2	no	—
403	C₂²	—	344	2	no	—
404	C₂²	—	344	2	no	—
405	C₂²	—	172	2	no	—
406	C₂²	—	172	2	no	—
407	C₂²	—	172	2	no	—
408	C₂²	D₄×D₁₇₂	1	1	yes	characteristic
409	C₄	—	2	2	no	—
410	C₄	—	2	1	no	—
411	C₄	—	4	1	no	—
412	C₄	—	4	1	no	—
413	C₄	—	344	2	no	—
414	C₄	—	172	2	no	—
415	C₄	C₂×#13063347	1	1	yes	characteristic
416	C₄	C₂×#13063352	1	1	yes	characteristic
417	C₄	#14583701	1	1	yes	characteristic
418	C₄	#14583704	1	1	yes	characteristic
419	C₂	—	8	1	no	—
420	C₂	—	344	2	no	—
421	C₂	—	688	2	no	—
422	C₂	#19146216	1	1	yes	characteristic
423	C₂	#19146282	1	1	yes	characteristic
424	C₂	#19146382	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₄×D₁₇₂
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₈×SD₁₆×C₄₃	C₂
socle	C₂²×C₄₃	D₄²
hypercenter	C₈×SD₁₆	D₄₃
hypocenter	C₄₃	#19908
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₈×SD₁₆

Complements

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

N	H ≅ G/N	type
1. #19147570	C₂	semidirect
2. #19146924	C₂	semidirect
3. #19146317	C₂	semidirect
4. #19134201	C₂	semidirect
5. #19134157	C₂	semidirect
6. #19133965	C₂	semidirect
7. #19133950	C₂	semidirect
8. #19133798	C₂	semidirect
9. #19133687	C₂	semidirect
10. #19133481	C₂	semidirect
11. C₈×SD₁₆×C₄₃	C₂	semidirect
149. Q₈×C₄₃	#135	semidirect
217. C₈×SD₁₆	D₄₃	semidirect
257. C₄₃	#19908	semidirect
364. Q₈	#13063347	semidirect

Maximal subgroups

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

subgroup	index
#19147570	2
#19146924	2
#19146317	2
#19134201	2
#19134157	2
#19133965	2
#19133950	2
#19133798	2
#19133687	2
#19133481	2
C₈×SD₁₆×C₄₃	2
#19908	43