Subgroups — #25079796

Order 11008.

710 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	#19145741	C₂	1	1	yes	maximal, characteristic, complemented
2	#19145538	C₂	1	1	yes	maximal, characteristic
3	C₂×#14583272	C₂	1	1	yes	maximal, characteristic
4	#19143529	C₂	1	1	yes	maximal, characteristic, complemented
5	#19134068	C₂	1	4	yes	maximal, complemented
6	#19133944	C₂	1	4	yes	maximal, complemented
7	#19133266	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133262	C₂	1	1	yes	maximal, characteristic
9	C₄₃×#1564	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#10621873	—	2	1	no	—
11	C₂²×#10621873	—	2	1	no	—
12	#14583456	C₂²	1	1	yes	characteristic
13	C₂×#13063325	C₂²	1	1	yes	characteristic
14	C₂×#13063322	C₂²	1	1	yes	characteristic
15	#14583297	—	2	1	no	—
16	#14583272	—	2	1	no	—
17	#14583272	—	2	1	no	—
18	#14583272	—	2	1	no	—
19	#14583272	C₂²	1	2	yes	—
20	#14583272	C₂²	1	2	yes	—
21	#14583250	—	2	1	no	—
22	#14583246	—	2	1	no	—
23	#14583230	—	2	2	no	—
24	#14583185	C₂²	1	4	yes	complemented
25	#14583100	C₂²	1	4	yes	—
26	#14583052	—	2	2	no	—
27	#14583029	—	2	1	no	—
28	#14583029	C₂²	1	2	yes	complemented
29	C₈×Dic₈₆	—	2	1	no	—
30	C₈×Dic₈₆	C₂²	1	2	yes	complemented
31	#14582925	—	2	1	no	—
32	#14582923	C₂²	1	1	yes	characteristic
33	#14582854	—	2	1	no	—
34	#14582644	C₂²	1	4	yes	complemented
35	#14582642	C₂²	1	4	yes	—
36	C₄₃×#431	C₂²	1	1	yes	characteristic
37	C₄₃×#431	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₄₃×#335	C₂²	1	2	yes	complemented
40	C₄₃×#334	C₂²	1	2	yes	complemented
41	C₂²×Dic₈₆	—	2	1	no	—
42	C₂²×D₁₇₂	—	2	1	no	—
43	C₂²×D₁₇₂	—	2	1	no	—
44	C₂²×D₁₇₂	—	2	1	no	—
45	C₂×#10621873	—	2	2	no	—
46	C₂×#10621873	—	2	2	no	—
47	C₂×#10621873	—	2	2	no	—
48	C₂×#10621873	—	2	2	no	—
49	C₂×#10621873	—	2	4	no	—
50	C₂×#10621873	—	4	4	no	—
51	C₂×#10621873	—	4	4	no	—
52	C₂×#10621877	—	2	1	no	—
53	#13063325	—	2	1	no	—
54	#13063325	—	2	1	no	—
55	#13063325	—	2	1	no	—
56	#13063325	D₄	1	1	yes	characteristic
57	#13063325	D₄	1	1	yes	characteristic
58	#13063325	C₂³	1	2	yes	—
59	#13063322	—	2	1	no	—
60	#13063322	—	2	1	no	—
61	#13063322	—	2	1	no	—
62	#13063322	C₂³	1	2	yes	—
63	#13063317	—	2	1	no	—
64	#13063304	—	2	1	no	—
65	#13063304	D₄	1	2	yes	—
66	C₄×Dic₈₆	—	2	1	no	—
67	C₄×Dic₈₆	C₂³	1	2	yes	—
68	#13063284	—	2	1	no	—
69	C₂×C₄⋊Dic₄₃	—	2	1	no	—
70	C₂×C₄⋊Dic₄₃	—	2	1	no	—
71	#13063257	—	2	4	no	—
72	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
73	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
74	Dic₄₃⋊C₈	—	2	2	no	—
75	Dic₄₃⋊C₈	—	2	2	no	—
76	#13063250	—	2	4	no	—
77	#13063247	—	2	4	no	—
78	#13063235	—	2	2	no	—
79	C₈×Dic₄₃	—	2	2	no	—
80	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
81	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
82	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
83	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
84	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
85	C₂²⋊C₈×C₄₃	—	2	1	no	—
86	C₂²⋊C₈×C₄₃	—	2	1	no	—
87	C₄×C₈×C₄₃	—	2	1	no	—
88	C₄×C₈×C₄₃	—	2	1	no	—
89	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
90	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
91	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
93	C₂³×D₄₃	—	4	1	no	—
94	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
97	C₂²×Dic₄₃	—	4	1	no	—
98	C₂×D₁₇₂	—	2	2	no	—
99	C₂×D₁₇₂	—	2	2	no	—
100	C₂×D₁₇₂	—	2	2	no	—
101	C₂×D₁₇₂	—	4	1	no	—
102	C₂×D₁₇₂	—	4	1	no	—
103	C₂×D₁₇₂	—	4	1	no	—
104	C₂×D₁₇₂	—	4	2	no	—
105	C₂×D₁₇₂	—	4	2	no	—
106	C₂×D₁₇₂	—	8	2	no	—
107	C₂×D₁₇₂	—	8	2	no	—
108	C₂×Dic₈₆	—	2	1	no	—
109	C₂×Dic₈₆	—	2	2	no	—
110	C₂×Dic₈₆	—	4	2	no	—
111	C₂×Dic₈₆	—	4	2	no	—
112	C₂×Dic₈₆	—	4	1	no	—
113	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
114	C₂×C₈×C₄₃	—	2	2	no	—
115	C₂×C₈×C₄₃	—	2	2	no	—
116	C₂×C₈×C₄₃	—	2	2	no	—
117	C₂×C₈×C₄₃	SD₁₆	1	4	yes	complemented
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	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₄₃	#41	1	1	yes	characteristic
125	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
126	C₂²⋊Dic₄₃	—	2	2	no	—
127	C₄⋊Dic₄₃	—	2	1	no	—
128	C₄⋊Dic₄₃	—	2	1	no	—
129	C₄⋊Dic₄₃	—	2	1	no	—
130	C₄⋊Dic₄₃	—	2	2	no	—
131	C₄⋊Dic₄₃	—	2	2	no	—
132	C₄⋊Dic₄₃	—	4	1	no	—
133	C₄⋊Dic₄₃	—	4	1	no	—
134	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
135	Dic₄₃⋊C₄	—	2	2	no	—
136	Dic₄₃⋊C₄	—	2	2	no	—
137	C₄×Dic₄₃	—	2	2	no	—
138	#10621877	—	4	2	no	—
139	C₂×C₄₃⋊C₈	—	2	2	no	—
140	#10621873	—	4	4	no	—
141	#10621873	—	4	4	no	—
142	#10621873	—	4	4	no	—
143	#10621873	—	4	4	no	—
144	#10621873	—	8	4	no	—
145	C₂³×C₄₃	#121	1	1	yes	characteristic
146	C₂²×D₄₃	—	4	2	no	—
147	C₂²×D₄₃	—	8	2	no	—
148	C₂²×D₄₃	—	8	2	no	—
149	C₂²×D₄₃	—	8	2	no	—
150	C₂×C₄×C₄₃	—	2	2	no	—
151	C₂×C₄×C₄₃	—	2	2	no	—
152	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
153	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
154	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
155	C₂×C₄×C₄₃	C₂×SD₁₆	1	2	yes	—
156	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
157	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
159	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
160	C₂×Dic₄₃	—	2	2	no	—
161	C₂×Dic₄₃	—	2	2	no	—
162	C₂×Dic₄₃	—	4	2	no	—
163	C₂×Dic₄₃	—	8	2	no	—
164	D₁₇₂	—	4	2	no	—
165	D₁₇₂	—	4	2	no	—
166	D₁₇₂	—	4	4	no	—
167	D₁₇₂	—	8	2	no	—
168	D₁₇₂	—	8	2	no	—
169	D₁₇₂	—	8	2	no	—
170	D₁₇₂	—	8	2	no	—
171	Dic₈₆	—	2	4	no	—
172	Dic₈₆	—	4	2	no	—
173	Dic₈₆	—	4	2	no	—
174	Dic₈₆	—	4	2	no	—
175	Dic₈₆	—	8	2	no	—
176	C₈×C₄₃	—	2	1	no	—
177	C₈×C₄₃	—	2	1	no	—
178	C₈×C₄₃	—	4	2	no	—
179	C₈×C₄₃	—	4	2	no	—
180	C₈×C₄₃	C₂×SD₁₆	1	2	yes	—
181	C₈×C₄₃	C₂×SD₁₆	1	2	yes	—
182	C₄₃⋊C₈	—	4	2	no	—
183	#19202	—	43	1	no	maximal, Sylow
184	C₂²×C₄₃	—	2	1	no	—
185	C₂²×C₄₃	—	2	1	no	—
186	C₂²×C₄₃	#460	1	2	yes	—
187	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
188	C₂×D₄₃	—	8	2	no	—
189	C₂×D₄₃	—	8	2	no	—
190	C₂×D₄₃	—	8	2	no	—
191	C₂×D₄₃	—	16	4	no	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	—	2	1	no	—
194	C₄×C₄₃	#460	1	2	yes	—
195	C₄×C₄₃	#471	1	2	yes	—
196	C₄×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
197	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
198	C₄×C₄₃	#577	1	2	yes	—
199	Dic₄₃	—	4	2	no	—
200	Dic₄₃	—	4	2	no	—
201	Dic₄₃	—	8	2	no	—
202	#3229	—	43	1	no	—
203	#3208	—	43	1	no	—
204	C₂×#492	—	43	1	no	—
205	#2960	—	43	1	no	—
206	#1686	—	43	4	no	—
207	#1666	—	43	4	no	—
208	#1564	D₄₃	1	1	yes	characteristic, complemented
209	#1546	—	43	1	no	—
210	#1545	—	43	1	no	—
211	C₂×C₄₃	—	2	2	no	—
212	C₂×C₄₃	C₂×#460	1	1	yes	characteristic
213	C₂×C₄₃	#3057	1	1	yes	characteristic
214	C₂×C₄₃	C₂×#471	1	1	yes	characteristic
215	D₄₃	—	16	2	no	—
216	C₂²×SD₁₆	—	86	1	no	—
217	C₂²×SD₁₆	—	86	1	no	—
218	#533	—	43	1	no	—
219	C₂×C₄⋊Q₈	—	43	1	no	—
220	C₂×#127	—	43	1	no	—
221	#498	—	86	1	no	—
222	#492	—	43	2	no	—
223	#492	—	43	2	no	—
224	#492	—	86	1	no	—
225	#492	—	86	1	no	—
226	#492	—	86	1	no	—
227	#487	—	86	1	no	—
228	#486	—	86	1	no	—
229	#483	—	86	2	no	—
230	#475	—	43	4	no	—
231	#460	—	43	4	no	—
232	#450	—	86	2	no	—
233	#446	—	43	2	no	—
234	#446	—	86	1	no	—
235	C₈×Q₈	—	43	2	no	—
236	C₈×Q₈	—	86	1	no	—
237	#431	C₂×D₄₃	1	1	yes	characteristic
238	#431	C₂×D₄₃	1	1	yes	characteristic
239	#424	—	86	1	no	—
240	#423	—	43	1	no	—
241	#405	—	86	1	no	—
242	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
243	#335	C₂×D₄₃	1	2	yes	complemented
244	#334	C₂×D₄₃	1	2	yes	complemented
245	#332	—	43	4	no	—
246	#331	—	43	4	no	—
247	C₄₃	#19202	1	1	yes	characteristic, complemented, Sylow
248	C₂²×Q₈	—	86	1	no	—
249	C₂²×D₄	—	86	1	no	—
250	C₂²×D₄	—	86	1	no	—
251	C₂²×D₄	—	86	1	no	—
252	C₂×SD₁₆	—	86	4	no	—
253	C₂×SD₁₆	—	86	2	no	—
254	C₂×SD₁₆	—	86	2	no	—
255	C₂×SD₁₆	—	86	2	no	—
256	C₂×SD₁₆	—	86	2	no	—
257	C₂×SD₁₆	—	172	4	no	—
258	C₂×SD₁₆	—	172	4	no	—
259	C₂×M₁₆	—	86	1	no	—
260	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
261	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
262	C₄⋊Q₈	—	43	1	no	—
263	C₄⋊Q₈	—	43	1	no	—
264	C₄⋊Q₈	—	43	2	no	—
265	C₄⋊Q₈	—	86	1	no	—
266	C₄⋊Q₈	—	86	1	no	—
267	C₄⋊Q₈	—	86	1	no	—
268	#127	—	43	2	no	—
269	#127	—	86	1	no	—
270	#127	—	86	1	no	—
271	#127	—	86	1	no	—
272	#125	—	86	1	no	—
273	C₂²⋊Q₈	—	43	2	no	—
274	C₂²⋊Q₈	—	86	1	no	—
275	C₄×Q₈	—	43	2	no	—
276	C₄×Q₈	—	86	1	no	—
277	#117	—	86	1	no	—
278	C₂×C₄⋊C₄	—	86	1	no	—
279	C₂×C₄⋊C₄	—	86	1	no	—
280	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
281	#106	—	86	4	no	—
282	C₄⋊C₈	—	43	2	no	—
283	C₄⋊C₈	—	86	2	no	—
284	C₄⋊C₈	—	86	2	no	—
285	C₄⋊C₈	—	86	1	no	—
286	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
287	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
288	#103	—	86	4	no	—
289	#102	—	86	4	no	—
290	C₂²⋊C₈	—	2	1	no	—
291	C₂²⋊C₈	—	2	1	no	—
292	#97	—	86	2	no	—
293	C₄×C₈	—	2	1	no	—
294	C₄×C₈	—	2	1	no	—
295	C₄×C₈	—	86	2	no	—
296	C₄×C₈	D₁₇₂	1	1	yes	characteristic
297	C₄×C₈	D₁₇₂	1	1	yes	characteristic
298	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
299	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
300	C₂⁴	—	172	1	no	—
301	C₂×Q₈	—	43	2	no	—
302	C₂×Q₈	—	86	1	no	—
303	C₂×Q₈	—	86	2	no	—
304	C₂×Q₈	—	172	2	no	—
305	C₂×Q₈	—	172	2	no	—
306	C₂×Q₈	—	172	1	no	—
307	C₂×D₄	—	86	2	no	—
308	C₂×D₄	—	86	2	no	—
309	C₂×D₄	—	86	2	no	—
310	C₂×D₄	—	344	2	no	—
311	C₂×D₄	—	344	2	no	—
312	C₂×D₄	—	172	1	no	—
313	C₂×D₄	—	172	1	no	—
314	C₂×D₄	—	172	1	no	—
315	C₂×D₄	—	172	2	no	—
316	C₂×D₄	—	172	2	no	—
317	C₂²×C₄	—	172	1	no	—
318	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
319	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
320	C₂²×C₄	#10621902	1	1	yes	characteristic
321	SD₁₆	—	344	4	no	—
322	SD₁₆	—	172	4	no	—
323	SD₁₆	—	172	4	no	—
324	SD₁₆	—	172	4	no	—
325	SD₁₆	—	172	4	no	—
326	M₁₆	—	172	2	no	—
327	C₂×C₈	—	2	2	no	—
328	C₂×C₈	—	2	2	no	—
329	C₂×C₈	—	2	2	no	—
330	C₂×C₈	—	86	2	no	—
331	C₂×C₈	#10621873	1	4	yes	complemented
332	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
333	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
334	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
335	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
336	C₄⋊C₄	—	43	2	no	—
337	C₄⋊C₄	—	86	1	no	—
338	C₄⋊C₄	—	86	1	no	—
339	C₄⋊C₄	—	86	2	no	—
340	C₄⋊C₄	—	86	1	no	—
341	C₄⋊C₄	—	86	2	no	—
342	C₄⋊C₄	—	86	2	no	—
343	C₄⋊C₄	—	86	2	no	—
344	C₄⋊C₄	—	172	1	no	—
345	C₄⋊C₄	—	172	1	no	—
346	C₂²⋊C₄	—	86	2	no	—
347	C₄²	—	86	2	no	—
348	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
349	C₄²	D₄×D₄₃	1	1	yes	characteristic
350	C₄²	#10621902	1	1	yes	characteristic
351	C₄²	C₂³×D₄₃	1	1	yes	characteristic
352	C₂³	—	344	2	no	—
353	C₂³	—	344	2	no	—
354	C₂³	—	344	2	no	—
355	C₂³	—	172	2	no	—
356	C₂³	#13063300	1	1	yes	characteristic
357	Q₈	—	86	4	no	—
358	Q₈	—	344	2	no	—
359	Q₈	—	172	2	no	—
360	Q₈	—	172	2	no	—
361	Q₈	—	172	2	no	—
362	D₄	—	344	2	no	—
363	D₄	—	344	2	no	—
364	D₄	—	344	2	no	—
365	D₄	—	344	2	no	—
366	D₄	—	172	2	no	—
367	D₄	—	172	2	no	—
368	D₄	—	172	4	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	86	2	no	—
372	C₂×C₄	—	86	2	no	—
373	C₂×C₄	—	344	2	no	—
374	C₂×C₄	—	172	2	no	—
375	C₂×C₄	#13063300	1	1	yes	characteristic
376	C₂×C₄	#13063300	1	1	yes	characteristic
377	C₂×C₄	#13063300	1	1	yes	characteristic
378	C₂×C₄	C₂×#10621873	1	2	yes	—
379	C₂×C₄	#13063353	1	2	yes	—
380	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
381	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
382	C₂×C₄	C₂×#10621902	1	1	yes	characteristic
383	C₈	—	2	1	no	—
384	C₈	—	2	1	no	—
385	C₈	—	4	2	no	—
386	C₈	—	4	2	no	—
387	C₈	—	172	2	no	—
388	C₈	C₂×#10621873	1	2	yes	—
389	C₈	C₂×#10621873	1	2	yes	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	344	2	no	—
393	C₂²	—	344	2	no	—
394	C₂²	—	344	2	no	—
395	C₂²	—	688	4	no	—
396	C₂²	#14583100	1	2	yes	—
397	C₂²	C₂×#13063300	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	344	2	no	—
401	C₄	—	172	2	no	—
402	C₄	—	172	2	no	—
403	C₄	#14583100	1	2	yes	—
404	C₄	#14583163	1	2	yes	—
405	C₄	C₂²×#10621873	1	1	yes	characteristic
406	C₄	C₂×#13063353	1	1	yes	characteristic
407	C₄	#14583706	1	2	yes	—
408	C₂	—	2	2	no	—
409	C₂	—	688	2	no	—
410	C₂	C₂×#14583100	1	1	yes	characteristic
411	C₂	#19144235	1	1	yes	characteristic
412	C₂	C₂×#14583163	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063300
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1564	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	C₂×#13063322	C₂²
hypercenter	#1564	D₄₃
hypocenter	C₄₃	#19202
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1564

Complements

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

N	H ≅ G/N	type
1. #19145741	C₂	semidirect
4. #19143529	C₂	semidirect
5. #19134068	C₂	semidirect
6. #19133944	C₂	semidirect
7. #19133266	C₂	semidirect
9. C₄₃×#1564	C₂	semidirect
24. #14583185	C₂²	semidirect
28. #14583029	C₂²	semidirect
30. C₈×Dic₈₆	C₂²	semidirect
34. #14582644	C₂²	semidirect
39. C₄₃×#335	C₂²	semidirect
40. C₄₃×#334	C₂²	semidirect
117. C₂×C₈×C₄₃	SD₁₆	semidirect
208. #1564	D₄₃	semidirect
243. #335	C₂×D₄₃	semidirect
244. #334	C₂×D₄₃	semidirect
247. C₄₃	#19202	semidirect
331. C₂×C₈	#10621873	semidirect

Maximal subgroups

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

subgroup	index
#19145741	2
#19145538	2
C₂×#14583272	2
#19143529	2
#19134068	2
#19133944	2
#19133266	2
#19133262	2
C₄₃×#1564	2
#19202	43