Subgroups — #25081920

Order 11008.

632 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	#19145530	C₂	1	1	yes	maximal, characteristic
2	#19144717	C₂	1	1	yes	maximal, characteristic, complemented
3	#19144626	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134053	C₂	1	2	yes	maximal, complemented
5	#19134011	C₂	1	2	yes	maximal, complemented
6	#19133955	C₂	1	2	yes	maximal, complemented
7	#19133943	C₂	1	2	yes	maximal, complemented
8	#19133375	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133298	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133255	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#2982	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583449	C₂²	1	1	yes	characteristic
13	#14583449	C₂²	1	1	yes	characteristic
14	#14583276	C₂²	1	1	yes	characteristic
15	#14583272	C₂²	1	1	yes	characteristic
16	#14583250	C₂²	1	1	yes	characteristic
17	#14583246	C₂²	1	1	yes	characteristic
18	#14583217	—	2	1	no	—
19	#14583212	—	2	1	no	—
20	#14583194	C₂²	1	2	yes	—
21	#14583184	C₂²	1	2	yes	—
22	#14583115	—	2	2	no	—
23	#14583099	C₂²	1	2	yes	—
24	#14583099	C₂²	1	2	yes	—
25	#14583046	—	2	2	no	—
26	#14583038	—	2	1	no	—
27	#14583038	—	2	1	no	—
28	#14582997	—	2	2	no	—
29	C₄×#10621884	—	2	2	no	—
30	#14582956	C₂²	1	1	yes	characteristic
31	#14582952	C₂²	1	1	yes	characteristic
32	#14582652	C₂²	1	2	yes	—
33	#14582650	C₂²	1	2	yes	—
34	#14582647	C₂²	1	2	yes	—
35	#14582646	C₂²	1	2	yes	—
36	#14582642	C₂²	1	2	yes	—
37	#14582642	C₂²	1	2	yes	—
38	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₈×Q₈×C₄₃	—	2	2	no	—
40	C₈×Q₈×C₄₃	C₂²	1	2	yes	—
41	C₈×Q₈×C₄₃	C₂²	1	2	yes	—
42	C₄₃×#431	—	2	2	no	—
43	C₄₃×#431	C₂²	1	1	yes	characteristic
44	C₄₃×#431	C₂²	1	1	yes	characteristic
45	C₂×#10621898	—	2	1	no	—
46	C₂×#10621898	—	2	1	no	—
47	C₂×#10621873	—	2	2	no	—
48	C₂×#10621884	—	2	2	no	—
49	C₂×#10621884	—	2	2	no	—
50	C₂×D₃₄₄	—	2	2	no	—
51	#13063325	C₂³	1	1	yes	characteristic
52	#13063325	C₂³	1	1	yes	characteristic
53	#13063322	C₂³	1	1	yes	characteristic
54	#13063322	C₂³	1	1	yes	characteristic
55	#13063313	—	2	1	no	—
56	#13063313	—	2	1	no	—
57	#13063299	—	2	1	no	—
58	#13063299	—	2	1	no	—
59	#13063299	—	2	1	no	—
60	#13063299	—	2	1	no	—
61	C₄×D₁₇₂	—	2	1	no	—
62	C₄×D₁₇₂	—	2	1	no	—
63	C₄×D₁₇₂	—	2	1	no	—
64	C₄×D₁₇₂	—	2	1	no	—
65	#13063258	—	2	2	no	—
66	#13063256	—	2	2	no	—
67	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
68	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
69	#13063250	—	2	2	no	—
70	#13063249	—	2	2	no	—
71	#13063249	—	2	2	no	—
72	#13063247	—	2	2	no	—
73	#13063245	—	2	2	no	—
74	#13063245	—	2	2	no	—
75	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
76	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
77	#13063236	—	2	1	no	—
78	C₄×C₄₃⋊C₈	—	2	1	no	—
79	C₂²×Q₈×C₄₃	D₄	1	1	yes	characteristic
80	C₄×Q₈×C₄₃	—	2	1	no	—
81	C₄×Q₈×C₄₃	—	2	1	no	—
82	C₄×Q₈×C₄₃	D₄	1	2	yes	—
83	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
84	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
85	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
86	C₂×C₄²×C₄₃	—	2	1	no	—
87	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
88	C₄⋊C₈×C₄₃	—	2	2	no	—
89	C₄⋊C₈×C₄₃	—	2	2	no	—
90	C₄⋊C₈×C₄₃	D₄	1	2	yes	—
91	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
92	C₂²⋊C₈×C₄₃	—	2	1	no	—
93	C₂²⋊C₈×C₄₃	D₄	1	2	yes	—
94	C₄×C₈×C₄₃	—	2	2	no	—
95	C₄×C₈×C₄₃	—	2	2	no	—
96	C₄×C₈×C₄₃	—	2	1	no	—
97	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
98	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
99	C₂×Q₈×C₄₃	—	2	4	no	—
100	C₂×Q₈×C₄₃	—	2	1	no	—
101	C₂×Q₈×C₄₃	C₂×D₄	1	2	yes	—
102	C₂²×C₄×C₄₃	—	2	1	no	—
103	C₂²×C₄×C₄₃	—	2	1	no	—
104	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
106	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
107	C₂×C₂²⋊D₄₃	—	4	1	no	—
108	C₂×C₂²⋊D₄₃	—	4	1	no	—
109	#10621898	—	8	2	no	—
110	#10621898	—	8	2	no	—
111	C₂×D₁₇₂	—	2	1	no	—
112	C₂×D₁₇₂	—	2	1	no	—
113	C₂×D₁₇₂	—	2	1	no	—
114	C₂×D₁₇₂	—	2	1	no	—
115	C₂×D₁₇₂	—	2	1	no	—
116	C₂×D₁₇₂	—	2	1	no	—
117	C₂×C₄×D₄₃	—	4	1	no	—
118	C₂×C₄×D₄₃	—	4	1	no	—
119	C₂×Dic₈₆	—	2	1	no	—
120	C₂×Dic₈₆	—	2	1	no	—
121	C₂×C₈×C₄₃	—	2	2	no	—
122	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
123	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
124	C₄⋊C₄×C₄₃	—	2	2	no	—
125	C₄⋊C₄×C₄₃	—	2	1	no	—
126	C₄⋊C₄×C₄₃	—	2	2	no	—
127	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
128	C₄²×C₄₃	—	2	2	no	—
129	C₄²×C₄₃	—	2	2	no	—
130	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₄₃	#41	1	1	yes	characteristic
133	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
134	#10621884	—	4	4	no	—
135	#10621884	—	4	4	no	—
136	(C₂×D₄₃)⋊C₄	—	4	1	no	—
137	(C₂×D₄₃)⋊C₄	—	4	1	no	—
138	(C₂×D₄₃)⋊C₄	—	4	1	no	—
139	(C₂×D₄₃)⋊C₄	—	4	1	no	—
140	C₄⋊Dic₄₃	—	2	1	no	—
141	C₄⋊Dic₄₃	—	2	1	no	—
142	C₄⋊Dic₄₃	—	2	1	no	—
143	C₄⋊Dic₄₃	—	2	1	no	—
144	C₂×C₄₃⋊C₈	—	2	2	no	—
145	C₂×C₄₃⋊C₈	—	2	2	no	—
146	D₃₄₄	—	8	2	no	—
147	#10621873	—	8	2	no	—
148	C₂³×C₄₃	#121	1	1	yes	characteristic
149	C₂²×D₄₃	—	4	1	no	—
150	C₂²×D₄₃	—	4	1	no	—
151	Q₈×C₄₃	—	2	4	no	—
152	Q₈×C₄₃	—	2	2	no	—
153	Q₈×C₄₃	#135	1	4	yes	—
154	C₂×C₄×C₄₃	—	2	4	no	—
155	C₂×C₄×C₄₃	—	2	2	no	—
156	C₂×C₄×C₄₃	—	2	2	no	—
157	C₂×C₄×C₄₃	—	2	2	no	—
158	C₂×C₄×C₄₃	—	2	2	no	—
159	C₂×C₄×C₄₃	—	4	1	no	—
160	C₂×C₄×C₄₃	—	8	1	no	—
161	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
162	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
163	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
164	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
167	C₂²⋊D₄₃	—	8	2	no	—
168	C₂²⋊D₄₃	—	8	2	no	—
169	C₂×Dic₄₃	—	4	1	no	—
170	C₂×Dic₄₃	—	4	1	no	—
171	D₁₇₂	—	4	2	no	—
172	D₁₇₂	—	4	2	no	—
173	D₁₇₂	—	4	2	no	—
174	D₁₇₂	—	4	2	no	—
175	D₁₇₂	—	8	1	no	—
176	D₁₇₂	—	8	1	no	—
177	C₄×D₄₃	—	8	2	no	—
178	C₄×D₄₃	—	8	2	no	—
179	Dic₈₆	—	4	2	no	—
180	Dic₈₆	—	8	1	no	—
181	C₈×C₄₃	—	2	2	no	—
182	C₈×C₄₃	—	2	2	no	—
183	C₈×C₄₃	—	4	2	no	—
184	C₄₃⋊C₈	—	4	2	no	—
185	C₄₃⋊C₈	—	4	2	no	—
186	#19401	—	43	1	no	maximal, Sylow
187	C₂²×C₄₃	—	2	1	no	—
188	C₂²×C₄₃	—	2	1	no	—
189	C₂²×C₄₃	—	2	1	no	—
190	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
191	C₂×D₄₃	—	8	1	no	—
192	C₂×D₄₃	—	8	1	no	—
193	C₂×D₄₃	—	8	1	no	—
194	C₂×D₄₃	—	8	1	no	—
195	C₂×D₄₃	—	8	1	no	—
196	C₂×D₄₃	—	8	1	no	—
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	2	4	no	—
199	C₄×C₄₃	—	2	1	no	—
200	C₄×C₄₃	—	2	1	no	—
201	C₄×C₄₃	—	2	1	no	—
202	C₄×C₄₃	—	4	2	no	—
203	C₄×C₄₃	C₂×#135	1	2	yes	—
204	C₄×C₄₃	#577	1	2	yes	—
205	Dic₄₃	—	8	1	no	—
206	Dic₄₃	—	8	1	no	—
207	#3207	—	43	1	no	—
208	#3112	—	43	1	no	—
209	#3103	—	43	1	no	—
210	#2982	D₄₃	1	1	yes	characteristic, complemented
211	#1684	—	43	2	no	—
212	#1678	—	43	2	no	—
213	#1668	—	43	2	no	—
214	#1666	—	43	2	no	—
215	#1572	—	43	1	no	—
216	#1553	—	43	1	no	—
217	#1543	—	43	1	no	—
218	C₂×C₄₃	—	4	1	no	—
219	C₂×C₄₃	#3043	1	1	yes	characteristic
220	C₂×C₄₃	#3050	1	1	yes	characteristic
221	C₂×C₄₃	#3068	1	1	yes	characteristic
222	D₄₃	—	16	1	no	—
223	D₄₃	—	16	1	no	—
224	#532	—	43	1	no	—
225	#532	—	43	1	no	—
226	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic
227	#493	—	43	1	no	—
228	#492	—	43	1	no	—
229	#487	—	43	1	no	—
230	#486	—	43	1	no	—
231	#481	—	86	1	no	—
232	#480	—	86	1	no	—
233	#477	—	43	2	no	—
234	#475	—	43	2	no	—
235	#463	—	86	2	no	—
236	#460	—	43	2	no	—
237	#460	—	43	2	no	—
238	#449	—	86	2	no	—
239	#448	—	86	1	no	—
240	#448	—	86	1	no	—
241	C₈×Q₈	—	2	2	no	—
242	C₈×Q₈	C₂×D₄₃	1	2	yes	—
243	C₈×Q₈	C₂×D₄₃	1	2	yes	—
244	#440	—	86	2	no	—
245	C₄×SD₁₆	—	86	2	no	—
246	#432	—	43	1	no	—
247	#431	—	2	2	no	—
248	#431	—	43	1	no	—
249	#431	C₂×D₄₃	1	1	yes	characteristic
250	#431	C₂×D₄₃	1	1	yes	characteristic
251	#335	—	43	2	no	—
252	#334	—	43	2	no	—
253	#333	—	43	2	no	—
254	#332	—	43	2	no	—
255	#331	—	43	2	no	—
256	#331	—	43	2	no	—
257	C₄₃	#19401	1	1	yes	characteristic, complemented, Sylow
258	C₂×#41	—	86	1	no	—
259	C₂×#41	—	86	1	no	—
260	C₂²×Q₈	D₁₇₂	1	1	yes	characteristic
261	C₂×SD₁₆	—	86	2	no	—
262	C₂×SD₁₆	—	86	2	no	—
263	C₂×SD₁₆	—	86	2	no	—
264	C₂×D₈	—	86	2	no	—
265	C₄⋊Q₈	—	43	1	no	—
266	C₄⋊Q₈	—	43	1	no	—
267	#127	—	43	1	no	—
268	#127	—	43	1	no	—
269	#124	—	86	1	no	—
270	#124	—	86	1	no	—
271	#121	—	86	1	no	—
272	#121	—	86	1	no	—
273	#121	—	86	1	no	—
274	#121	—	86	1	no	—
275	C₄×Q₈	—	2	1	no	—
276	C₄×Q₈	—	2	1	no	—
277	C₄×Q₈	D₁₇₂	1	2	yes	—
278	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
279	C₄×D₄	—	86	1	no	—
280	C₄×D₄	—	86	1	no	—
281	C₄×D₄	—	86	1	no	—
282	C₄×D₄	—	86	1	no	—
283	C₂×C₄⋊C₄	—	2	1	no	—
284	C₂×C₄⋊C₄	D₁₇₂	1	1	yes	characteristic
285	C₂×C₄²	—	2	1	no	—
286	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
287	#107	—	86	2	no	—
288	#106	—	86	2	no	—
289	C₄⋊C₈	—	2	2	no	—
290	C₄⋊C₈	—	2	2	no	—
291	C₄⋊C₈	—	43	2	no	—
292	C₄⋊C₈	—	43	2	no	—
293	C₄⋊C₈	C₂²⋊D₄₃	1	2	yes	—
294	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
295	#103	—	86	2	no	—
296	#103	—	86	2	no	—
297	#103	—	86	2	no	—
298	#102	—	86	2	no	—
299	#102	—	86	2	no	—
300	#102	—	86	2	no	—
301	C₂²⋊C₈	—	2	1	no	—
302	C₂²⋊C₈	—	86	1	no	—
303	C₂²⋊C₈	—	86	1	no	—
304	C₂²⋊C₈	C₂²⋊D₄₃	1	2	yes	—
305	#97	—	86	1	no	—
306	C₄×C₈	—	2	2	no	—
307	C₄×C₈	—	2	2	no	—
308	C₄×C₈	—	2	1	no	—
309	C₄×C₈	—	86	1	no	—
310	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
311	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
312	#41	—	344	2	no	—
313	#41	—	344	2	no	—
314	C₂×Q₈	—	2	4	no	—
315	C₂×Q₈	—	2	1	no	—
316	C₂×Q₈	—	86	1	no	—
317	C₂×Q₈	—	86	1	no	—
318	C₂×Q₈	C₂×D₁₇₂	1	2	yes	—
319	C₂×D₄	—	86	1	no	—
320	C₂×D₄	—	86	1	no	—
321	C₂×D₄	—	86	1	no	—
322	C₂×D₄	—	86	1	no	—
323	C₂×D₄	—	86	1	no	—
324	C₂×D₄	—	86	1	no	—
325	C₂×D₄	—	172	1	no	—
326	C₂×D₄	—	172	1	no	—
327	C₂²×C₄	—	2	1	no	—
328	C₂²×C₄	—	2	1	no	—
329	C₂²×C₄	—	172	1	no	—
330	C₂²×C₄	—	172	1	no	—
331	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
332	C₂²×C₄	#10621898	1	1	yes	characteristic
333	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
334	SD₁₆	—	344	2	no	—
335	SD₁₆	—	172	4	no	—
336	SD₁₆	—	172	4	no	—
337	D₈	—	344	2	no	—
338	C₂×C₈	—	2	2	no	—
339	C₂×C₈	—	86	2	no	—
340	C₂×C₈	—	86	2	no	—
341	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
342	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
343	C₄⋊C₄	—	2	2	no	—
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	86	1	no	—
347	C₄⋊C₄	—	86	1	no	—
348	C₄⋊C₄	—	86	1	no	—
349	C₄⋊C₄	—	86	1	no	—
350	C₄⋊C₄	C₂×D₁₇₂	1	2	yes	—
351	C₂²⋊C₄	—	172	1	no	—
352	C₂²⋊C₄	—	172	1	no	—
353	C₂²⋊C₄	—	172	1	no	—
354	C₂²⋊C₄	—	172	1	no	—
355	C₄²	—	2	2	no	—
356	C₄²	—	2	2	no	—
357	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
358	C₄²	#10621898	1	1	yes	characteristic
359	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
360	C₄²	C₂³×D₄₃	1	1	yes	characteristic
361	C₂³	—	172	1	no	—
362	C₂³	—	172	1	no	—
363	C₂³	#13063299	1	1	yes	characteristic
364	Q₈	—	2	4	no	—
365	Q₈	—	2	2	no	—
366	Q₈	—	344	1	no	—
367	Q₈	—	172	2	no	—
368	Q₈	#13063347	1	4	yes	—
369	D₄	—	344	1	no	—
370	D₄	—	344	1	no	—
371	D₄	—	344	2	no	—
372	D₄	—	344	2	no	—
373	D₄	—	172	2	no	—
374	D₄	—	172	2	no	—
375	D₄	—	172	2	no	—
376	D₄	—	172	2	no	—
377	C₂×C₄	—	2	4	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	2	2	no	—
382	C₂×C₄	—	4	1	no	—
383	C₂×C₄	—	8	1	no	—
384	C₂×C₄	—	344	2	no	—
385	C₂×C₄	—	344	2	no	—
386	C₂×C₄	—	172	1	no	—
387	C₂×C₄	—	172	1	no	—
388	C₂×C₄	#13063299	1	1	yes	characteristic
389	C₂×C₄	#13063299	1	1	yes	characteristic
390	C₂×C₄	#13063299	1	1	yes	characteristic
391	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
392	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
393	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
394	C₈	—	2	2	no	—
395	C₈	—	2	2	no	—
396	C₈	—	4	2	no	—
397	C₈	—	172	2	no	—
398	C₈	—	172	2	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	2	1	no	—
402	C₂²	—	344	1	no	—
403	C₂²	—	344	1	no	—
404	C₂²	—	344	1	no	—
405	C₂²	—	344	1	no	—
406	C₂²	—	344	1	no	—
407	C₂²	—	344	1	no	—
408	C₂²	C₂×#13063299	1	1	yes	characteristic
409	C₄	—	2	1	no	—
410	C₄	—	2	1	no	—
411	C₄	—	2	1	no	—
412	C₄	—	2	4	no	—
413	C₄	—	2	1	no	—
414	C₄	—	4	2	no	—
415	C₄	—	344	1	no	—
416	C₄	—	344	1	no	—
417	C₄	C₂×#13063347	1	2	yes	—
418	C₄	#14583707	1	2	yes	—
419	C₂	—	4	1	no	—
420	C₂	—	688	1	no	—
421	C₂	—	688	1	no	—
422	C₂	#19144116	1	1	yes	characteristic
423	C₂	#19144176	1	1	yes	characteristic
424	C₂	#19144323	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063299
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#2982	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	#19145530	C₂
hypercenter	#2982	D₄₃
hypocenter	C₄₃	#19401
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2982

Complements

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

N	H ≅ G/N	type
2. #19144717	C₂	semidirect
3. #19144626	C₂	semidirect
4. #19134053	C₂	semidirect
5. #19134011	C₂	semidirect
6. #19133955	C₂	semidirect
7. #19133943	C₂	semidirect
8. #19133375	C₂	semidirect
9. #19133298	C₂	semidirect
10. #19133255	C₂	semidirect
11. C₄₃×#2982	C₂	semidirect
210. #2982	D₄₃	semidirect
257. C₄₃	#19401	semidirect

Maximal subgroups

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

subgroup	index
#19145530	2
#19144717	2
#19144626	2
#19134053	2
#19134011	2
#19133955	2
#19133943	2
#19133375	2
#19133298	2
#19133255	2
C₄₃×#2982	2
#19401	43