Subgroups — #25081862

Order 11008.

628 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145756	C₂	1	1	yes	maximal, characteristic, complemented
2	#19144694	C₂	1	1	yes	maximal, characteristic
3	#19144603	C₂	1	1	yes	maximal, characteristic
4	#19134046	C₂	1	2	yes	maximal, complemented
5	#19134018	C₂	1	2	yes	maximal, complemented
6	#19133984	C₂	1	2	yes	maximal, complemented
7	#19133970	C₂	1	2	yes	maximal, complemented
8	#19133375	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133303	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133259	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#2972	C₂	1	1	yes	maximal, characteristic
12	#14583456	C₂²	1	1	yes	characteristic
13	#14583456	C₂²	1	1	yes	characteristic
14	#14583304	C₂²	1	1	yes	characteristic, complemented
15	#14583297	C₂²	1	1	yes	characteristic, complemented
16	#14583250	C₂²	1	1	yes	characteristic, complemented
17	#14583250	C₂²	1	1	yes	characteristic, complemented
18	#14583241	—	2	2	no	—
19	#14583234	—	2	1	no	—
20	#14583229	—	2	1	no	—
21	#14583207	—	2	2	no	—
22	#14583189	C₂²	1	2	yes	—
23	#14583179	C₂²	1	2	yes	—
24	#14583104	C₂²	1	2	yes	—
25	#14583104	C₂²	1	2	yes	—
26	#14583050	—	2	1	no	—
27	#14583050	—	2	1	no	—
28	#14582999	—	2	2	no	—
29	C₄×#10621883	—	2	2	no	—
30	#14582956	C₂²	1	1	yes	characteristic
31	#14582952	C₂²	1	1	yes	characteristic
32	#14582652	C₂²	1	2	yes	complemented
33	#14582650	C₂²	1	2	yes	complemented
34	#14582647	C₂²	1	2	yes	complemented
35	#14582646	C₂²	1	2	yes	complemented
36	#14582644	C₂²	1	2	yes	complemented
37	#14582644	C₂²	1	2	yes	complemented
38	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
39	C₈×D₄×C₄₃	—	2	2	no	—
40	C₈×D₄×C₄₃	C₂²	1	2	yes	—
41	C₈×D₄×C₄₃	C₂²	1	2	yes	—
42	C₄₃×#431	C₂²	1	1	yes	characteristic
43	C₄₃×#431	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₈×C₄₃	—	2	2	no	—
45	C₂×#10621883	—	2	2	no	—
46	C₂×#10621883	—	2	2	no	—
47	#13063325	C₂³	1	1	yes	characteristic
48	#13063325	C₂³	1	1	yes	characteristic
49	#13063325	C₂³	1	1	yes	characteristic
50	#13063325	C₂³	1	1	yes	characteristic
51	#13063317	—	2	1	no	—
52	#13063317	—	2	1	no	—
53	#13063304	—	2	1	no	—
54	#13063304	—	2	1	no	—
55	#13063304	—	2	1	no	—
56	#13063304	—	2	1	no	—
57	C₄×Dic₈₆	—	2	1	no	—
58	C₄×Dic₈₆	—	2	1	no	—
59	C₄×Dic₈₆	—	2	1	no	—
60	C₄×Dic₈₆	—	2	1	no	—
61	#13063284	—	2	1	no	—
62	#13063284	—	2	1	no	—
63	#13063259	—	2	2	no	—
64	#13063258	—	2	2	no	—
65	#13063257	—	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	#13063250	—	2	2	no	—
71	#13063248	—	2	2	no	—
72	#13063248	—	2	2	no	—
73	#13063246	—	2	2	no	—
74	#13063246	—	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×D₄×C₄₃	D₄	1	1	yes	characteristic
80	C₂³×C₄×C₄₃	—	2	1	no	—
81	C₂²×C₈×C₄₃	—	2	2	no	—
82	C₂²×C₈×C₄₃	—	2	2	no	—
83	C₄×D₄×C₄₃	—	2	1	no	—
84	C₄×D₄×C₄₃	—	2	1	no	—
85	C₄×D₄×C₄₃	D₄	1	2	yes	—
86	C₄×D₄×C₄₃	C₂³	1	2	yes	—
87	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
88	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
89	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
94	C₂²⋊C₈×C₄₃	—	2	2	no	—
95	C₂²⋊C₈×C₄₃	D₄	1	2	yes	—
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	C₂⁴×C₄₃	—	2	1	no	—
100	C₂×D₄×C₄₃	—	2	4	no	—
101	C₂×D₄×C₄₃	—	2	1	no	—
102	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
103	C₂²×C₄×C₄₃	—	2	2	no	—
104	C₂²×C₄×C₄₃	—	2	2	no	—
105	C₂²×C₄×C₄₃	—	2	1	no	—
106	C₂²×C₄×C₄₃	—	8	2	no	—
107	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
110	C₂×Dic₈₆	—	2	1	no	—
111	C₂×Dic₈₆	—	2	1	no	—
112	C₂×Dic₈₆	—	2	1	no	—
113	C₂×Dic₈₆	—	2	1	no	—
114	C₂×C₈×C₄₃	—	2	2	no	—
115	C₂×C₈×C₄₃	—	8	2	no	—
116	C₂×C₈×C₄₃	—	8	2	no	—
117	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
118	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
119	C₄⋊C₄×C₄₃	—	2	1	no	—
120	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
121	C₂²⋊C₄×C₄₃	—	2	2	no	—
122	C₂²⋊C₄×C₄₃	—	2	2	no	—
123	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₄₃	#41	1	1	yes	characteristic
126	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
127	C₂²⋊Dic₄₃	—	4	1	no	—
128	C₂²⋊Dic₄₃	—	4	1	no	—
129	#10621883	—	4	4	no	—
130	#10621883	—	4	4	no	—
131	C₄⋊Dic₄₃	—	2	1	no	—
132	C₄⋊Dic₄₃	—	2	1	no	—
133	C₄⋊Dic₄₃	—	2	1	no	—
134	C₄⋊Dic₄₃	—	2	1	no	—
135	C₄⋊Dic₄₃	—	2	1	no	—
136	C₄⋊Dic₄₃	—	2	1	no	—
137	C₄⋊Dic₄₃	—	2	1	no	—
138	C₄⋊Dic₄₃	—	2	1	no	—
139	Dic₄₃⋊C₄	—	4	1	no	—
140	Dic₄₃⋊C₄	—	4	1	no	—
141	Dic₄₃⋊C₄	—	4	1	no	—
142	Dic₄₃⋊C₄	—	4	1	no	—
143	C₄×Dic₄₃	—	4	1	no	—
144	C₄×Dic₄₃	—	4	1	no	—
145	C₂×C₄₃⋊C₈	—	2	2	no	—
146	C₂×C₄₃⋊C₈	—	2	2	no	—
147	C₂³×C₄₃	—	2	4	no	—
148	C₂³×C₄₃	—	2	2	no	—
149	C₂³×C₄₃	—	8	1	no	—
150	C₂³×C₄₃	—	8	1	no	—
151	C₂³×C₄₃	#121	1	1	yes	characteristic
152	D₄×C₄₃	—	2	4	no	—
153	D₄×C₄₃	—	2	2	no	—
154	D₄×C₄₃	#135	1	4	yes	—
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	—	4	1	no	—
159	C₂×C₄×C₄₃	—	4	2	no	—
160	C₂×C₄×C₄₃	—	4	2	no	—
161	C₂×C₄×C₄₃	—	8	2	no	—
162	C₂×C₄×C₄₃	—	8	1	no	—
163	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
164	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
165	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
166	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
169	C₂×Dic₄₃	—	4	1	no	—
170	C₂×Dic₄₃	—	4	1	no	—
171	C₂×Dic₄₃	—	4	1	no	—
172	C₂×Dic₄₃	—	4	1	no	—
173	Dic₈₆	—	4	2	no	—
174	Dic₈₆	—	4	2	no	—
175	Dic₈₆	—	4	2	no	—
176	Dic₈₆	—	8	1	no	—
177	C₈×C₄₃	—	2	2	no	—
178	C₈×C₄₃	—	2	2	no	—
179	C₈×C₄₃	—	4	2	no	—
180	C₄₃⋊C₈	—	4	2	no	—
181	C₄₃⋊C₈	—	4	2	no	—
182	#19395	—	43	1	no	maximal, Sylow
183	C₂²×C₄₃	—	2	1	no	—
184	C₂²×C₄₃	—	2	1	no	—
185	C₂²×C₄₃	—	2	4	no	—
186	C₂²×C₄₃	—	2	1	no	—
187	C₂²×C₄₃	—	4	2	no	—
188	C₂²×C₄₃	—	4	2	no	—
189	C₂²×C₄₃	—	8	4	no	—
190	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
191	C₄×C₄₃	—	2	1	no	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	—	2	1	no	—
194	C₄×C₄₃	—	2	1	no	—
195	C₄×C₄₃	—	4	2	no	—
196	C₄×C₄₃	C₂×#135	1	2	yes	—
197	C₄×C₄₃	#577	1	2	yes	—
198	Dic₄₃	—	8	1	no	—
199	Dic₄₃	—	8	1	no	—
200	Dic₄₃	—	8	1	no	—
201	Dic₄₃	—	8	1	no	—
202	#3231	—	43	1	no	—
203	#3110	—	43	1	no	—
204	#3101	—	43	1	no	—
205	#2972	D₄₃	1	1	yes	characteristic
206	#1683	—	43	2	no	—
207	#1679	—	43	2	no	—
208	#1673	—	43	2	no	—
209	#1671	—	43	2	no	—
210	#1572	—	43	1	no	—
211	#1554	—	43	1	no	—
212	#1544	—	43	1	no	—
213	C₂×C₄₃	—	4	1	no	—
214	C₂×C₄₃	—	4	4	no	—
215	C₂×C₄₃	#3042	1	1	yes	characteristic
216	C₂×C₄₃	#3050	1	1	yes	characteristic
217	C₂×C₄₃	#3069	1	1	yes	characteristic
218	#533	—	43	1	no	—
219	#533	—	43	1	no	—
220	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
221	#500	—	43	1	no	—
222	#498	—	43	1	no	—
223	#487	—	43	1	no	—
224	#487	—	43	1	no	—
225	#485	—	86	2	no	—
226	#484	—	86	1	no	—
227	#483	—	86	1	no	—
228	#479	—	86	2	no	—
229	#476	—	43	2	no	—
230	#474	—	43	2	no	—
231	#461	—	43	2	no	—
232	#461	—	43	2	no	—
233	#450	—	86	1	no	—
234	#450	—	86	1	no	—
235	#440	—	86	2	no	—
236	C₄×SD₁₆	—	86	2	no	—
237	C₈×D₄	—	2	2	no	—
238	C₈×D₄	C₂×D₄₃	1	2	yes	—
239	C₈×D₄	C₂×D₄₃	1	2	yes	—
240	#432	—	43	1	no	—
241	#431	—	43	1	no	—
242	#431	C₂×D₄₃	1	1	yes	characteristic
243	#431	C₂×D₄₃	1	1	yes	characteristic
244	C₂×C₂²⋊C₈	—	2	2	no	—
245	#335	—	43	2	no	—
246	#334	—	43	2	no	—
247	#333	—	43	2	no	—
248	#332	—	43	2	no	—
249	#332	—	43	2	no	—
250	#332	—	43	2	no	—
251	C₄₃	#19395	1	1	yes	characteristic, complemented, Sylow
252	C₂²×D₄	D₁₇₂	1	1	yes	characteristic
253	C₂³×C₄	—	2	1	no	—
254	C₂×SD₁₆	—	86	2	no	—
255	C₂×SD₁₆	—	86	2	no	—
256	C₂²×C₈	—	2	2	no	—
257	C₂²×C₈	—	2	2	no	—
258	C₄⋊Q₈	—	43	1	no	—
259	C₄⋊Q₈	—	43	1	no	—
260	C₄⋊Q₈	—	43	1	no	—
261	C₄⋊Q₈	—	43	1	no	—
262	#125	—	86	1	no	—
263	#125	—	86	1	no	—
264	C₂²⋊Q₈	—	86	1	no	—
265	C₂²⋊Q₈	—	86	1	no	—
266	C₂²⋊Q₈	—	86	1	no	—
267	C₂²⋊Q₈	—	86	1	no	—
268	C₄×Q₈	—	86	1	no	—
269	C₄×Q₈	—	86	1	no	—
270	C₄×Q₈	—	86	1	no	—
271	C₄×Q₈	—	86	1	no	—
272	C₄×D₄	—	2	1	no	—
273	C₄×D₄	—	2	1	no	—
274	C₄×D₄	D₁₇₂	1	2	yes	—
275	C₄×D₄	C₂²×D₄₃	1	2	yes	—
276	#117	—	86	1	no	—
277	#117	—	86	1	no	—
278	C₂×C₄⋊C₄	D₁₇₂	1	1	yes	characteristic
279	C₂×C₂²⋊C₄	—	2	1	no	—
280	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
281	#107	—	86	2	no	—
282	#107	—	86	2	no	—
283	#106	—	86	2	no	—
284	#106	—	86	2	no	—
285	C₄⋊C₈	—	43	2	no	—
286	C₄⋊C₈	—	43	2	no	—
287	C₄⋊C₈	C₂²⋊D₄₃	1	2	yes	—
288	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
289	#103	—	86	2	no	—
290	#103	—	86	2	no	—
291	#103	—	86	2	no	—
292	#103	—	86	2	no	—
293	#102	—	86	2	no	—
294	#102	—	86	2	no	—
295	C₂²⋊C₈	—	2	1	no	—
296	C₂²⋊C₈	—	2	2	no	—
297	C₂²⋊C₈	—	2	2	no	—
298	C₂²⋊C₈	—	86	1	no	—
299	C₂²⋊C₈	—	86	1	no	—
300	C₂²⋊C₈	C₂²⋊D₄₃	1	2	yes	—
301	#97	—	86	1	no	—
302	C₄×C₈	—	2	1	no	—
303	C₄×C₈	—	86	1	no	—
304	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
305	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
306	C₂⁴	—	2	1	no	—
307	C₂×Q₈	—	86	1	no	—
308	C₂×Q₈	—	86	1	no	—
309	C₂×Q₈	—	86	1	no	—
310	C₂×Q₈	—	86	1	no	—
311	C₂×D₄	—	2	4	no	—
312	C₂×D₄	—	2	1	no	—
313	C₂×D₄	C₂×D₁₇₂	1	2	yes	—
314	C₂²×C₄	—	2	1	no	—
315	C₂²×C₄	—	2	2	no	—
316	C₂²×C₄	—	2	2	no	—
317	C₂²×C₄	—	8	2	no	—
318	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
319	C₂²×C₄	#10621898	1	1	yes	characteristic
320	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
321	SD₁₆	—	172	4	no	—
322	SD₁₆	—	172	4	no	—
323	C₂×C₈	—	2	2	no	—
324	C₂×C₈	—	8	2	no	—
325	C₂×C₈	—	8	2	no	—
326	C₂×C₈	—	86	2	no	—
327	C₂×C₈	—	86	2	no	—
328	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
329	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	86	1	no	—
332	C₄⋊C₄	—	86	1	no	—
333	C₄⋊C₄	—	86	1	no	—
334	C₄⋊C₄	—	86	1	no	—
335	C₄⋊C₄	—	86	1	no	—
336	C₄⋊C₄	—	86	1	no	—
337	C₄⋊C₄	—	86	1	no	—
338	C₄⋊C₄	—	86	1	no	—
339	C₄⋊C₄	—	172	1	no	—
340	C₄⋊C₄	—	172	1	no	—
341	C₄⋊C₄	—	172	1	no	—
342	C₄⋊C₄	—	172	1	no	—
343	C₄⋊C₄	C₂×D₁₇₂	1	2	yes	—
344	C₂²⋊C₄	—	2	2	no	—
345	C₂²⋊C₄	—	2	2	no	—
346	C₂²⋊C₄	—	172	1	no	—
347	C₂²⋊C₄	—	172	1	no	—
348	C₄²	—	172	1	no	—
349	C₄²	—	172	1	no	—
350	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
351	C₄²	#10621898	1	1	yes	characteristic
352	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
353	C₄²	C₂³×D₄₃	1	1	yes	characteristic
354	C₂³	—	2	4	no	—
355	C₂³	—	2	2	no	—
356	C₂³	—	8	1	no	—
357	C₂³	—	8	1	no	—
358	C₂³	#13063299	1	1	yes	characteristic
359	Q₈	—	344	1	no	—
360	Q₈	—	172	2	no	—
361	Q₈	—	172	2	no	—
362	Q₈	—	172	2	no	—
363	D₄	—	2	4	no	—
364	D₄	—	2	2	no	—
365	D₄	#13063347	1	4	yes	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	4	2	no	—
372	C₂×C₄	—	8	2	no	—
373	C₂×C₄	—	8	1	no	—
374	C₂×C₄	—	172	1	no	—
375	C₂×C₄	—	172	1	no	—
376	C₂×C₄	—	172	1	no	—
377	C₂×C₄	—	172	1	no	—
378	C₂×C₄	#13063299	1	1	yes	characteristic
379	C₂×C₄	#13063299	1	1	yes	characteristic
380	C₂×C₄	#13063299	1	1	yes	characteristic
381	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
382	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
383	C₂×C₄	C₂×#10621898	1	1	yes	characteristic
384	C₈	—	2	2	no	—
385	C₈	—	2	2	no	—
386	C₈	—	4	2	no	—
387	C₈	—	172	2	no	—
388	C₈	—	172	2	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	2	4	no	—
393	C₂²	—	4	2	no	—
394	C₂²	—	4	2	no	—
395	C₂²	—	8	4	no	—
396	C₂²	C₂×#13063299	1	1	yes	characteristic
397	C₄	—	2	1	no	—
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	4	2	no	—
402	C₄	—	344	1	no	—
403	C₄	—	344	1	no	—
404	C₄	—	344	1	no	—
405	C₄	—	344	1	no	—
406	C₄	C₂×#13063347	1	2	yes	—
407	C₄	#14583710	1	2	yes	—
408	C₂	—	4	1	no	—
409	C₂	—	4	4	no	—
410	C₂	#19144107	1	1	yes	characteristic
411	C₂	#19144176	1	1	yes	characteristic
412	C₂	#19144332	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063299
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#2972	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	C₂²×D₄×C₄₃	D₄
hypercenter	#2972	D₄₃
hypocenter	C₄₃	#19395
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2972

Complements

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

N	H ≅ G/N	type
1. #19145756	C₂	semidirect
4. #19134046	C₂	semidirect
5. #19134018	C₂	semidirect
6. #19133984	C₂	semidirect
7. #19133970	C₂	semidirect
8. #19133375	C₂	semidirect
9. #19133303	C₂	semidirect
10. #19133259	C₂	semidirect
14. #14583304	C₂²	semidirect
15. #14583297	C₂²	semidirect
16. #14583250	C₂²	semidirect
17. #14583250	C₂²	semidirect
32. #14582652	C₂²	semidirect
33. #14582650	C₂²	semidirect
34. #14582647	C₂²	semidirect
35. #14582646	C₂²	semidirect
36. #14582644	C₂²	semidirect
37. #14582644	C₂²	semidirect
251. C₄₃	#19395	semidirect

Maximal subgroups

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

subgroup	index
#19145756	2
#19144694	2
#19144603	2
#19134046	2
#19134018	2
#19133984	2
#19133970	2
#19133375	2
#19133303	2
#19133259	2
C₄₃×#2972	2
#19395	43