Subgroups — #36599530

Order 22784.

642 conjugacy classes of subgroups.

The subgroup lattice has 454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26029973	C₂	1	1	yes	maximal, characteristic
2	#26029052	C₂	1	1	yes	maximal, characteristic, complemented
3	#26021707	C₂	1	2	yes	maximal, complemented
4	#26021559	C₂	1	2	yes	maximal, complemented
5	#26021150	C₂	1	1	yes	maximal, characteristic, complemented
6	#26021003	C₂	1	1	yes	maximal, characteristic, complemented
7	#26020754	C₂	1	2	yes	maximal, complemented
8	#26020354	C₂	1	2	yes	maximal, complemented
9	#26020295	C₂	1	1	yes	maximal, characteristic, complemented
10	#26020098	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#1833	C₂	1	1	yes	maximal, characteristic, complemented
12	#19152398	C₂²	1	2	yes	—
13	C₂×#15668034	C₂²	1	1	yes	characteristic
14	C₂×#15668018	C₂²	1	1	yes	characteristic
15	#19152066	C₂²	1	2	yes	—
16	#19151874	—	2	1	no	—
17	#19151869	—	2	1	no	—
18	#19151862	—	2	2	no	—
19	#19151709	—	2	1	no	—
20	#19151704	—	2	1	no	—
21	#19151697	—	2	2	no	—
22	#19151636	C₂²	1	1	yes	characteristic
23	#19151626	C₂²	1	2	yes	—
24	#19151614	C₂²	1	2	yes	—
25	C₂×#15667938	C₂²	1	1	yes	characteristic
26	#19151592	C₂²	1	1	yes	characteristic
27	#19151592	C₂²	1	2	yes	—
28	#19151580	C₂²	1	2	yes	—
29	#19151571	C₂²	1	2	yes	—
30	#19151571	C₂²	1	2	yes	—
31	C₂×#15667922	C₂²	1	1	yes	characteristic
32	#19151362	C₂²	1	1	yes	characteristic
33	#19151359	C₂²	1	2	yes	—
34	#19151357	C₂²	1	1	yes	characteristic
35	#19151354	C₂²	1	2	yes	—
36	C₂×#108×C₈₉	C₂²	1	1	yes	characteristic
37	#427×C₈₉	C₂²	1	1	yes	characteristic
38	#405×C₈₉	C₂²	1	1	yes	characteristic
39	#344×C₈₉	C₂²	1	2	yes	—
40	H(3,ℤ/4)×C₈₉	C₂²	1	2	yes	—
41	C₂×#13083574	C₂³	1	2	yes	—
42	C₂×#13083574	C₂³	1	1	yes	characteristic
43	#15668045	—	2	2	no	—
44	#15668045	—	2	2	no	—
45	#15668040	—	2	2	no	—
46	#15668040	—	2	2	no	—
47	#15668034	—	2	1	no	—
48	#15668034	—	2	1	no	—
49	#15668034	—	2	1	no	—
50	#15668034	—	2	1	no	—
51	#15668034	—	4	2	no	—
52	C₂×Dic₃₅₆	D₄	1	1	yes	characteristic
53	C₂×#13083563	D₄	1	2	yes	—
54	C₂×D₇₁₂	D₄	1	1	yes	characteristic
55	#15668018	—	2	1	no	—
56	#15668018	—	2	1	no	—
57	#15668018	—	2	1	no	—
58	#15668018	—	2	1	no	—
59	C₂×#13083558	C₂³	1	1	yes	characteristic
60	C₂×#13083557	—	2	1	no	—
61	C₂²×#10623494	C₂³	1	1	yes	characteristic
62	C₂×C₈×D₈₉	—	2	1	no	—
63	#15667977	—	2	2	no	—
64	#15667974	—	2	2	no	—
65	#15667972	—	4	2	no	—
66	#15667971	C₂³	1	2	yes	—
67	#15667969	—	2	2	no	—
68	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
69	C₄²×D₈₉	—	2	2	no	—
70	#15667946	—	2	1	no	—
71	#15667944	—	2	1	no	—
72	#15667941	—	4	2	no	—
73	#15667938	—	2	2	no	—
74	#15667938	—	4	2	no	—
75	#15667935	—	2	2	no	—
76	#15667935	—	2	1	no	—
77	#15667932	—	2	2	no	—
78	#15667932	—	2	1	no	—
79	#15667930	—	2	2	no	—
80	#15667928	—	2	2	no	—
81	#15667926	—	4	2	no	—
82	#15667926	—	4	2	no	—
83	#15667922	—	2	1	no	—
84	#15667922	—	2	1	no	—
85	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
86	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
87	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
88	#117×C₈₉	C₂³	1	1	yes	characteristic
89	#117×C₈₉	C₂³	1	2	yes	—
90	#108×C₈₉	—	2	1	no	—
91	#108×C₈₉	—	2	1	no	—
92	#107×C₈₉	—	2	1	no	—
93	#106×C₈₉	—	2	1	no	—
94	#97×C₈₉	—	2	1	no	—
95	C₄×C₈×C₈₉	—	2	1	no	—
96	#13083574	—	2	1	no	—
97	#13083574	—	2	1	no	—
98	#13083574	—	2	2	no	—
99	#13083574	—	2	2	no	—
100	#13083574	—	2	2	no	—
101	#13083574	—	2	1	no	—
102	#13083574	—	2	1	no	—
103	#13083574	—	2	2	no	—
104	C₂×Dic₁₇₈	C₂×D₄	1	2	yes	—
105	C₂×Dic₁₇₈	#41	1	1	yes	characteristic
106	C₂×D₃₅₆	C₂×D₄	1	2	yes	—
107	C₂×D₃₅₆	#41	1	1	yes	characteristic
108	C₂×C₂²⋊D₈₉	—	2	2	no	—
109	C₂×C₂²⋊D₈₉	—	2	1	no	—
110	C₂²×Dic₈₉	—	2	1	no	—
111	C₂×C₄×D₈₉	—	2	2	no	—
112	C₂×C₄×D₈₉	—	2	1	no	—
113	C₂×C₄×D₈₉	—	4	2	no	—
114	Dic₃₅₆	—	2	1	no	—
115	Dic₃₅₆	—	2	1	no	—
116	Dic₃₅₆	—	4	2	no	—
117	#13083563	—	2	2	no	—
118	#13083563	—	2	2	no	—
119	#13083563	—	4	2	no	—
120	#13083563	—	4	2	no	—
121	D₇₁₂	—	2	1	no	—
122	D₇₁₂	—	2	1	no	—
123	D₇₁₂	—	4	2	no	—
124	#13083558	—	2	1	no	—
125	#13083558	—	2	1	no	—
126	#13083557	—	4	1	no	—
127	#13083557	—	4	1	no	—
128	C₂×#10623494	—	2	1	no	—
129	C₂×#10623494	—	2	1	no	—
130	C₂×#10623494	—	2	1	no	—
131	C₂×#10623494	—	2	1	no	—
132	C₈×D₈₉	—	4	1	no	—
133	C₈×D₈₉	—	4	1	no	—
134	C₄⋊Dic₈₉	—	2	2	no	—
135	#13083553	—	4	2	no	—
136	C₂²⋊Dic₈₉	—	2	2	no	—
137	#13083551	—	4	2	no	—
138	C₄×Dic₈₉	—	2	1	no	—
139	C₄×Dic₈₉	—	2	2	no	—
140	C₄×Dic₈₉	—	4	2	no	—
141	C₄×Dic₈₉	#41	1	2	yes	—
142	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
143	M₁₆×C₈₉	—	2	2	no	—
144	M₁₆×C₈₉	—	2	2	no	—
145	M₁₆×C₈₉	—	2	1	no	—
146	M₁₆×C₈₉	—	2	1	no	—
147	C₂×C₈×C₈₉	—	2	1	no	—
148	C₂×C₈×C₈₉	—	2	2	no	—
149	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
150	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
151	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
152	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
153	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
154	C₂×C₈×C₈₉	#41	1	1	yes	characteristic
155	C₄⋊C₄×C₈₉	—	2	2	no	—
156	C₄⋊C₄×C₈₉	—	2	1	no	—
157	C₂²⋊C₄×C₈₉	—	2	2	no	—
158	C₂²⋊C₄×C₈₉	—	2	1	no	—
159	C₄²×C₈₉	—	2	2	no	—
160	C₄²×C₈₉	—	2	1	no	—
161	C₂³×C₈₉	H(5,𝔽₂)	1	1	yes	characteristic
162	C₂²×D₈₉	—	2	2	no	—
163	C₂²×D₈₉	—	2	1	no	—
164	C₂×C₄×C₈₉	—	4	2	no	—
165	C₂×C₄×C₈₉	—	4	1	no	—
166	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
168	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
169	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
170	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
171	C₂×C₄×C₈₉	H(5,𝔽₂)	1	1	yes	characteristic
172	C₂²⋊D₈₉	—	4	2	no	—
173	C₂²⋊D₈₉	—	4	1	no	—
174	C₂²⋊D₈₉	—	4	1	no	—
175	C₂²⋊D₈₉	—	4	2	no	—
176	C₂×Dic₈₉	—	2	2	no	—
177	C₂×Dic₈₉	—	2	2	no	—
178	C₂×Dic₈₉	—	2	1	no	—
179	C₂×Dic₈₉	—	4	2	no	—
180	C₂×Dic₈₉	—	8	1	no	—
181	D₃₅₆	—	2	2	no	—
182	D₃₅₆	—	2	1	no	—
183	D₃₅₆	—	2	1	no	—
184	D₃₅₆	—	2	2	no	—
185	C₄×D₈₉	—	4	1	no	—
186	C₄×D₈₉	—	4	2	no	—
187	C₄×D₈₉	—	4	2	no	—
188	C₄×D₈₉	—	4	1	no	—
189	C₄×D₈₉	—	8	4	no	—
190	Dic₁₇₈	—	2	2	no	—
191	Dic₁₇₈	—	2	1	no	—
192	Dic₁₇₈	—	2	1	no	—
193	Dic₁₇₈	—	2	2	no	—
194	C₈×C₈₉	—	4	2	no	—
195	C₈×C₈₉	—	4	1	no	—
196	C₈×C₈₉	#123	1	1	yes	characteristic
197	C₈×C₈₉	#123	1	1	yes	characteristic
198	C₈×C₈₉	#123	1	1	yes	characteristic
199	C₈×C₈₉	#123	1	1	yes	characteristic
200	#10623494	—	4	1	no	—
201	#10623494	—	4	1	no	—
202	C₂²×C₈₉	—	4	1	no	—
203	C₂²×C₈₉	#540	1	1	yes	characteristic
204	C₂²×C₈₉	#546	1	1	yes	characteristic
205	C₂²×C₈₉	#553	1	1	yes	characteristic
206	C₂×D₈₉	—	4	1	no	—
207	C₂×D₈₉	—	4	2	no	—
208	C₂×D₈₉	—	8	2	no	—
209	C₂×D₈₉	—	8	1	no	—
210	C₄×C₈₉	—	8	2	no	—
211	C₄×C₈₉	—	8	1	no	—
212	C₄×C₈₉	C₂×#123	1	1	yes	characteristic
213	C₄×C₈₉	#529	1	1	yes	characteristic
214	C₄×C₈₉	#546	1	1	yes	characteristic
215	C₄×C₈₉	#555	1	1	yes	characteristic
216	Dic₈₉	—	4	2	no	—
217	Dic₈₉	—	4	2	no	—
218	Dic₈₉	—	4	1	no	—
219	Dic₈₉	—	8	2	no	—
220	#24986	—	89	1	no	maximal, Sylow
221	C₂×C₈₉	—	2	1	no	—
222	C₂×C₈₉	—	2	1	no	—
223	C₂×C₈₉	—	2	1	no	—
224	C₂×C₈₉	#2420	1	1	yes	characteristic
225	D₈₉	—	8	2	no	—
226	D₈₉	—	8	1	no	—
227	#3067	—	89	1	no	—
228	#2943	—	89	1	no	—
229	#2080	—	89	2	no	—
230	#2053	—	89	2	no	—
231	#1976	—	89	1	no	—
232	#1946	—	89	1	no	—
233	#1906	—	89	2	no	—
234	#1833	D₈₉	1	1	yes	characteristic, complemented
235	#1827	—	89	2	no	—
236	#1812	—	89	1	no	—
237	#1765	—	89	1	no	—
238	C₈₉	#24986	1	1	yes	characteristic, complemented, Sylow
239	#575	—	89	2	no	—
240	C₂×#135	—	89	1	no	—
241	C₂×#131	—	89	1	no	—
242	C₄×#41	—	89	2	no	—
243	#473	—	178	1	no	—
244	#472	—	178	1	no	—
245	#471	—	178	2	no	—
246	#442	—	178	1	no	—
247	#441	—	178	1	no	—
248	#440	—	178	2	no	—
249	C₂×#108	C₂×D₈₉	1	1	yes	characteristic
250	#427	—	89	1	no	—
251	#427	C₂×D₈₉	1	1	yes	characteristic
252	#424	—	89	2	no	—
253	#421	—	89	2	no	—
254	C₂×#104	—	89	1	no	—
255	#416	—	89	1	no	—
256	#416	—	89	2	no	—
257	#413	—	89	2	no	—
258	#410	—	89	2	no	—
259	#410	—	89	2	no	—
260	#405	C₂×D₈₉	1	1	yes	characteristic
261	C₂×#97	—	89	1	no	—
262	#344	C₂×D₈₉	1	2	yes	—
263	#341	—	89	1	no	—
264	#339	—	89	2	no	—
265	#339	—	89	1	no	—
266	H(3,ℤ/4)	—	89	2	no	—
267	H(3,ℤ/4)	C₂×D₈₉	1	2	yes	—
268	C₂×#41	—	89	2	no	—
269	C₂×#41	—	89	1	no	—
270	#137	—	178	2	no	—
271	#137	—	178	2	no	—
272	AGL(1,ℤ/8)	—	178	2	no	—
273	AGL(1,ℤ/8)	—	178	2	no	—
274	#135	—	356	2	no	—
275	#135	—	178	1	no	—
276	#135	—	178	1	no	—
277	#135	—	178	1	no	—
278	#135	—	178	1	no	—
279	C₂×Q₁₆	—	89	1	no	—
280	C₂×SD₁₆	—	89	2	no	—
281	C₂×D₈	—	89	1	no	—
282	#131	—	178	1	no	—
283	#131	—	178	1	no	—
284	#131	—	178	1	no	—
285	#131	—	178	1	no	—
286	C₂×M₁₆	—	89	1	no	—
287	C₂×M₁₆	—	178	1	no	—
288	C₂×M₁₆	C₂²×D₈₉	1	2	yes	—
289	C₂×M₁₆	C₂²×D₈₉	1	1	yes	characteristic
290	C₂²×C₈	—	89	1	no	—
291	C₂²×C₈	—	178	1	no	—
292	C₂²×C₈	C₂²×D₈₉	1	1	yes	characteristic
293	C₄×Q₈	—	178	2	no	—
294	C₄×D₄	—	356	2	no	—
295	C₄×D₄	—	178	2	no	—
296	#117	—	89	2	no	—
297	#117	—	178	2	no	—
298	#117	C₂²×D₈₉	1	2	yes	—
299	#117	C₂²×D₈₉	1	1	yes	characteristic
300	C₂×C₄²	—	89	1	no	—
301	C₂×C₄²	—	178	2	no	—
302	#108	—	2	1	no	—
303	#108	—	2	1	no	—
304	#107	—	2	1	no	—
305	#107	—	178	1	no	—
306	#106	—	2	1	no	—
307	#106	—	178	1	no	—
308	C₄⋊C₈	—	356	2	no	—
309	#104	—	356	2	no	—
310	#104	—	178	2	no	—
311	#103	—	178	2	no	—
312	#103	—	178	1	no	—
313	#102	—	178	2	no	—
314	#102	—	178	1	no	—
315	#101	—	178	2	no	—
316	#100	—	178	2	no	—
317	#99	—	356	2	no	—
318	#99	—	356	2	no	—
319	#97	—	2	1	no	—
320	#97	—	178	1	no	—
321	#97	—	178	1	no	—
322	C₄×C₈	—	2	1	no	—
323	#41	—	178	1	no	—
324	#41	—	178	1	no	—
325	#41	—	178	2	no	—
326	#41	—	178	2	no	—
327	#41	—	178	1	no	—
328	#41	—	178	2	no	—
329	#41	—	178	2	no	—
330	#41	—	178	1	no	—
331	C₂×Q₈	—	89	2	no	—
332	C₂×Q₈	—	89	1	no	—
333	C₂×D₄	—	89	2	no	—
334	C₂×D₄	—	89	1	no	—
335	C₂×D₄	—	178	1	no	—
336	C₂×D₄	—	178	2	no	—
337	C₂²×C₄	—	356	2	no	—
338	C₂²×C₄	—	178	2	no	—
339	C₂²×C₄	—	178	1	no	—
340	C₂²×C₄	—	178	1	no	—
341	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
342	Q₁₆	—	356	2	no	—
343	Q₁₆	—	178	1	no	—
344	Q₁₆	—	178	1	no	—
345	SD₁₆	—	356	2	no	—
346	SD₁₆	—	356	2	no	—
347	SD₁₆	—	178	2	no	—
348	SD₁₆	—	178	2	no	—
349	D₈	—	356	2	no	—
350	D₈	—	178	1	no	—
351	D₈	—	178	1	no	—
352	M₁₆	—	2	2	no	—
353	M₁₆	—	2	1	no	—
354	M₁₆	—	2	2	no	—
355	M₁₆	—	2	1	no	—
356	M₁₆	—	356	1	no	—
357	M₁₆	—	356	1	no	—
358	M₁₆	—	178	1	no	—
359	M₁₆	—	178	1	no	—
360	C₂×C₈	—	2	1	no	—
361	C₂×C₈	—	2	2	no	—
362	C₂×C₈	—	356	1	no	—
363	C₂×C₈	—	356	1	no	—
364	C₂×C₈	—	178	1	no	—
365	C₂×C₈	—	178	1	no	—
366	C₂×C₈	—	178	1	no	—
367	C₂×C₈	—	178	1	no	—
368	C₂×C₈	D₄×D₈₉	1	1	yes	characteristic
369	C₂×C₈	D₄×D₈₉	1	1	yes	characteristic
370	C₂×C₈	#13083574	1	1	yes	characteristic
371	C₂×C₈	#13083574	1	1	yes	characteristic
372	C₂×C₈	#13083575	1	1	yes	characteristic
373	C₂×C₈	#13083575	1	1	yes	characteristic
374	C₄⋊C₄	—	2	2	no	—
375	C₄⋊C₄	—	2	1	no	—
376	C₄⋊C₄	—	356	2	no	—
377	C₄⋊C₄	—	178	2	no	—
378	C₂²⋊C₄	—	2	1	no	—
379	C₂²⋊C₄	—	2	2	no	—
380	C₂²⋊C₄	—	356	2	no	—
381	C₂²⋊C₄	—	178	2	no	—
382	C₄²	—	2	2	no	—
383	C₄²	—	2	1	no	—
384	C₄²	—	89	2	no	—
385	C₄²	—	356	2	no	—
386	C₄²	—	178	2	no	—
387	C₄²	—	178	1	no	—
388	C₂³	—	178	2	no	—
389	C₂³	—	178	1	no	—
390	C₂³	#15668058	1	1	yes	characteristic
391	Q₈	—	178	1	no	—
392	Q₈	—	178	1	no	—
393	Q₈	—	178	2	no	—
394	Q₈	—	178	2	no	—
395	D₄	—	356	1	no	—
396	D₄	—	356	2	no	—
397	D₄	—	356	1	no	—
398	D₄	—	356	2	no	—
399	D₄	—	178	1	no	—
400	D₄	—	178	1	no	—
401	D₄	—	178	2	no	—
402	D₄	—	178	2	no	—
403	C₂×C₄	—	4	2	no	—
404	C₂×C₄	—	4	1	no	—
405	C₂×C₄	—	356	2	no	—
406	C₂×C₄	—	356	2	no	—
407	C₂×C₄	—	356	1	no	—
408	C₂×C₄	—	356	1	no	—
409	C₂×C₄	—	356	2	no	—
410	C₂×C₄	—	178	2	no	—
411	C₂×C₄	—	178	2	no	—
412	C₂×C₄	—	178	1	no	—
413	C₂×C₄	—	712	4	no	—
414	C₂×C₄	—	712	1	no	—
415	C₂×C₄	C₂×D₄×D₈₉	1	1	yes	characteristic
416	C₂×C₄	#41×D₈₉	1	1	yes	characteristic
417	C₂×C₄	#41×D₈₉	1	1	yes	characteristic
418	C₂×C₄	C₂×#13083574	1	1	yes	characteristic
419	C₂×C₄	C₂×#13083575	1	1	yes	characteristic
420	C₂×C₄	#15668058	1	1	yes	characteristic
421	C₈	—	4	2	no	—
422	C₈	—	4	1	no	—
423	C₈	—	356	1	no	—
424	C₈	—	356	1	no	—
425	C₈	#15667997	1	1	yes	characteristic
426	C₈	#15667997	1	1	yes	characteristic
427	C₈	#15667997	1	1	yes	characteristic
428	C₈	#15667997	1	1	yes	characteristic
429	C₂²	—	4	1	no	—
430	C₂²	—	356	2	no	—
431	C₂²	—	356	1	no	—
432	C₂²	—	712	2	no	—
433	C₂²	—	712	1	no	—
434	C₂²	#19152204	1	1	yes	characteristic
435	C₂²	#19152241	1	1	yes	characteristic
436	C₂²	#19152292	1	1	yes	characteristic
437	C₄	—	8	2	no	—
438	C₄	—	8	1	no	—
439	C₄	—	356	2	no	—
440	C₄	—	356	2	no	—
441	C₄	—	356	1	no	—
442	C₄	—	712	2	no	—
443	C₄	C₂×#15667997	1	1	yes	characteristic
444	C₄	#19152133	1	1	yes	characteristic
445	C₄	#19152241	1	1	yes	characteristic
446	C₄	#19152311	1	1	yes	characteristic
447	C₂	—	2	1	no	—
448	C₂	—	2	1	no	—
449	C₂	—	2	1	no	—
450	C₂	—	712	2	no	—
451	C₂	—	712	1	no	—
452	C₂	#26023747	1	1	yes	characteristic

	subgroup	G/H
center	C₄	#19152311
commutator, cosocle	C₂²×C₄×C₈₉	C₂⁴
Frattini	C₂²×C₄	C₂³×D₈₉
Fitting	C₈₉×#1833	C₂
socle	C₂×C₈₉	#2420
prime radical	#26029973	C₂
hypercenter	#1833	D₈₉
hypocenter	C₈₉	#24986
LCS	G ▷ C₂²×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ #1833

Complements

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

N	H ≅ G/N	type
2. #26029052	C₂	semidirect
3. #26021707	C₂	semidirect
4. #26021559	C₂	semidirect
5. #26021150	C₂	semidirect
6. #26021003	C₂	semidirect
7. #26020754	C₂	semidirect
8. #26020354	C₂	semidirect
9. #26020295	C₂	semidirect
10. #26020098	C₂	semidirect
11. C₈₉×#1833	C₂	semidirect
234. #1833	D₈₉	semidirect
238. C₈₉	#24986	semidirect

Maximal subgroups

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

subgroup	index
#26029973	2
#26029052	2
#26021707	2
#26021559	2
#26021150	2
#26021003	2
#26020754	2
#26020354	2
#26020295	2
#26020098	2
C₈₉×#1833	2
#24986	89