Subgroups — #36537637

Order 22784.

646 conjugacy classes of subgroups.

The subgroup lattice has 432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26031395	C₂	1	2	yes	maximal
2	#494×D₈₉	C₂	1	1	yes	maximal, characteristic
3	#26029181	C₂	1	1	yes	maximal, characteristic
4	#26019745	C₂	1	2	yes	maximal, complemented
5	#26019744	C₂	1	2	yes	maximal, complemented
6	#26019623	C₂	1	1	yes	maximal, characteristic, complemented
7	#26019622	C₂	1	1	yes	maximal, characteristic, complemented
8	#26019619	C₂	1	1	yes	maximal, characteristic, complemented
9	#26018999	C₂	1	1	yes	maximal, characteristic
10	#26018922	C₂	1	2	yes	maximal
11	C₈₉×#1670	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Q₁₆×D₈₉	—	2	1	no	—
13	C₂×Q₁₆×D₈₉	—	2	1	no	—
14	#19152152	C₂²	1	1	yes	characteristic
15	C₄⋊Q₈×D₈₉	C₂²	1	2	yes	—
16	#19151995	—	2	2	no	—
17	#19151978	C₂²	1	1	yes	characteristic
18	#19151977	C₂²	1	2	yes	—
19	#19151976	—	2	1	no	—
20	#19151976	—	2	1	no	—
21	#19151947	—	2	2	no	—
22	#19151930	—	2	2	no	—
23	#19151927	—	2	2	no	—
24	#19151884	C₂²	1	2	yes	—
25	#19151883	C₂²	1	2	yes	—
26	#19151880	C₂²	1	2	yes	—
27	#19151729	C₂²	1	1	yes	characteristic
28	#19151727	—	2	1	no	—
29	#19151725	C₂²	1	1	yes	characteristic
30	C₈×Dic₁₇₈	—	2	1	no	—
31	C₈×Dic₁₇₈	C₂²	1	1	yes	characteristic
32	#19151650	C₂²	1	2	yes	—
33	#19151623	—	2	1	no	—
34	#19151620	C₂²	1	1	yes	characteristic
35	#19151552	—	2	1	no	—
36	C₄×C₈×D₈₉	C₂²	1	1	yes	characteristic
37	#19151351	C₂²	1	1	yes	characteristic
38	#19151348	C₂²	1	2	yes	—
39	#19151345	C₂²	1	2	yes	—
40	#19151344	C₂²	1	2	yes	—
41	#19151343	C₂²	1	2	yes	—
42	#494×C₈₉	C₂²	1	1	yes	characteristic
43	#475×C₈₉	C₂²	1	2	yes	—
44	C₈×Q₈×C₈₉	C₂²	1	1	yes	characteristic
45	#335×C₈₉	C₂²	1	1	yes	characteristic
46	#332×C₈₉	C₂²	1	2	yes	—
47	C₂×Q₈×D₈₉	—	2	2	no	—
48	C₂×Dic₃₅₆	—	2	1	no	—
49	C₂×Dic₃₅₆	—	2	1	no	—
50	C₂×#13083564	—	2	2	no	—
51	C₂×#13083564	—	2	2	no	—
52	Q₁₆×D₈₉	—	4	4	no	—
53	Q₁₆×D₈₉	—	4	4	no	—
54	C₂×#13083557	—	2	1	no	—
55	C₂×C₈×D₈₉	D₄	1	1	yes	characteristic
56	C₂×C₈×D₈₉	D₄	1	1	yes	characteristic
57	#15668012	C₂³	1	2	yes	—
58	#15668011	—	2	2	no	—
59	#15668011	—	2	2	no	—
60	#15668011	D₄	1	1	yes	characteristic
61	#15668010	—	2	2	no	—
62	#15668010	D₄	1	1	yes	characteristic
63	#15668002	—	2	1	no	—
64	#15667992	D₄	1	1	yes	characteristic
65	#15667990	—	2	1	no	—
66	#15667988	D₄	1	1	yes	characteristic
67	C₄×Dic₁₇₈	—	2	1	no	—
68	C₄×Dic₁₇₈	C₂³	1	1	yes	characteristic
69	#15667969	—	2	1	no	—
70	C₄⋊C₄×D₈₉	—	2	2	no	—
71	C₄⋊C₄×D₈₉	—	2	2	no	—
72	C₄²×D₈₉	C₂³	1	1	yes	characteristic
73	#15667944	—	2	2	no	—
74	#15667943	—	2	2	no	—
75	#15667943	—	2	2	no	—
76	C₄⋊#10623494	—	2	1	no	—
77	C₄⋊#10623494	C₂³	1	1	yes	characteristic
78	C₄⋊#10623494	C₂³	1	2	yes	—
79	#15667941	—	2	1	no	—
80	#15667941	—	2	1	no	—
81	#15667941	—	2	1	no	—
82	#15667937	—	2	2	no	—
83	#15667936	—	2	2	no	—
84	#15667935	—	2	2	no	—
85	#15667924	—	2	2	no	—
86	#15667923	—	2	1	no	—
87	#15667922	—	2	1	no	—
88	C₄×#10623494	C₂³	1	1	yes	characteristic
89	C₈×Dic₈₉	—	2	2	no	—
90	C₈×Dic₈₉	—	2	1	no	—
91	C₈×Dic₈₉	D₄	1	1	yes	characteristic
92	C₈×Dic₈₉	D₄	1	1	yes	characteristic
93	C₂×Q₁₆×C₈₉	—	2	1	no	—
94	C₂×Q₁₆×C₈₉	—	2	1	no	—
95	C₄⋊Q₈×C₈₉	C₂³	1	2	yes	—
96	C₄×Q₈×C₈₉	C₂³	1	1	yes	characteristic
97	#106×C₈₉	—	2	2	no	—
98	C₄⋊C₈×C₈₉	—	2	1	no	—
99	C₄⋊C₈×C₈₉	C₂³	1	1	yes	characteristic
100	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
101	#103×C₈₉	—	2	2	no	—
102	C₄×C₈×C₈₉	—	2	1	no	—
103	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
104	C₂×Dic₁₇₈	—	2	1	no	—
105	C₂×Dic₁₇₈	—	2	2	no	—
106	C₂×Dic₁₇₈	—	4	2	no	—
107	C₂×Dic₁₇₈	C₂×D₄	1	1	yes	characteristic
108	Q₈×D₈₉	—	4	4	no	—
109	Q₈×D₈₉	—	4	4	no	—
110	C₂×C₄×D₈₉	—	4	2	no	—
111	C₂×C₄×D₈₉	C₂×D₄	1	1	yes	characteristic
112	C₂×C₄×D₈₉	C₂×D₄	1	1	yes	characteristic
113	C₂×C₄×D₈₉	#41	1	1	yes	characteristic
114	Dic₃₅₆	—	4	2	no	—
115	Dic₃₅₆	—	4	2	no	—
116	#13083564	—	4	4	no	—
117	#13083564	—	4	4	no	—
118	#13083557	—	4	2	no	—
119	C₂×#10623494	—	2	1	no	—
120	C₂×#10623494	—	2	2	no	—
121	C₂×#10623494	C₂×D₄	1	1	yes	characteristic
122	C₂×#10623494	C₂×D₄	1	1	yes	characteristic
123	C₈×D₈₉	—	2	2	no	—
124	C₈×D₈₉	SD₁₆	1	4	yes	—
125	C₄⋊Dic₈₉	—	2	1	no	—
126	C₄⋊Dic₈₉	—	2	2	no	—
127	C₄⋊Dic₈₉	—	2	2	no	—
128	C₄⋊Dic₈₉	C₂×D₄	1	1	yes	characteristic
129	#13083553	—	2	1	no	—
130	#13083553	—	2	1	no	—
131	#13083553	—	2	1	no	—
132	#13083553	—	2	1	no	—
133	#13083553	—	2	1	no	—
134	#13083553	—	4	2	no	—
135	#13083553	—	4	2	no	—
136	#13083551	—	2	1	no	—
137	#13083551	—	2	1	no	—
138	C₄×Dic₈₉	—	2	1	no	—
139	C₄×Dic₈₉	C₂×D₄	1	1	yes	characteristic
140	C₄×Dic₈₉	C₂×D₄	1	1	yes	characteristic
141	C₄×Dic₈₉	#41	1	1	yes	characteristic
142	C₂×Q₈×C₈₉	—	2	2	no	—
143	C₂×Q₈×C₈₉	C₂×D₄	1	1	yes	characteristic
144	Q₁₆×C₈₉	—	4	2	no	—
145	Q₁₆×C₈₉	—	4	2	no	—
146	C₂×C₈×C₈₉	—	2	1	no	—
147	C₂×C₈×C₈₉	—	2	2	no	—
148	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
149	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
150	C₄⋊C₄×C₈₉	—	2	1	no	—
151	C₄⋊C₄×C₈₉	—	2	2	no	—
152	C₄⋊C₄×C₈₉	—	2	2	no	—
153	C₄⋊C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
154	C₄²×C₈₉	—	2	1	no	—
155	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
156	C₂²×D₈₉	#121	1	1	yes	characteristic
157	Q₈×C₈₉	—	2	1	no	—
158	Q₈×C₈₉	—	2	1	no	—
159	Q₈×C₈₉	—	4	2	no	—
160	Q₈×C₈₉	—	4	2	no	—
161	C₂×C₄×C₈₉	—	2	1	no	—
162	C₂×C₄×C₈₉	—	2	1	no	—
163	C₂×C₄×C₈₉	—	4	2	no	—
164	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
167	C₂×Dic₈₉	—	2	1	no	—
168	C₂×Dic₈₉	—	2	1	no	—
169	C₂×Dic₈₉	—	4	2	no	—
170	C₂×Dic₈₉	#121	1	1	yes	characteristic
171	C₂×Dic₈₉	#121	1	1	yes	characteristic
172	C₂×Dic₈₉	#121	1	1	yes	characteristic
173	C₄×D₈₉	—	2	1	no	—
174	C₄×D₈₉	—	2	1	no	—
175	C₄×D₈₉	—	2	2	no	—
176	C₄×D₈₉	—	8	4	no	—
177	C₄×D₈₉	C₂×SD₁₆	1	2	yes	—
178	C₄×D₈₉	AGL(1,ℤ/8)	1	2	yes	—
179	Dic₁₇₈	—	2	1	no	—
180	Dic₁₇₈	—	2	1	no	—
181	Dic₁₇₈	—	4	2	no	—
182	Dic₁₇₈	—	4	2	no	—
183	Dic₁₇₈	—	4	2	no	—
184	Dic₁₇₈	—	8	4	no	—
185	C₈×C₈₉	—	2	1	no	—
186	C₈×C₈₉	—	4	1	no	—
187	C₈×C₈₉	—	4	2	no	—
188	C₈×C₈₉	C₂×SD₁₆	1	2	yes	—
189	#10623494	—	2	1	no	—
190	#10623494	—	4	1	no	—
191	#10623494	—	4	2	no	—
192	#10623494	C₂×SD₁₆	1	2	yes	—
193	C₂²×C₈₉	C₂×#121	1	1	yes	characteristic
194	C₂×D₈₉	—	2	1	no	—
195	C₂×D₈₉	—	2	1	no	—
196	C₂×D₈₉	#460	1	2	yes	—
197	C₄×C₈₉	—	2	1	no	—
198	C₄×C₈₉	—	4	1	no	—
199	C₄×C₈₉	—	4	1	no	—
200	C₄×C₈₉	—	8	2	no	—
201	C₄×C₈₉	C₂²×SD₁₆	1	1	yes	characteristic
202	C₄×C₈₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
203	C₄×C₈₉	#578	1	1	yes	characteristic
204	C₄×C₈₉	#578	1	1	yes	characteristic
205	Dic₈₉	—	2	1	no	—
206	Dic₈₉	—	4	1	no	—
207	Dic₈₉	—	4	1	no	—
208	Dic₈₉	—	8	2	no	—
209	Dic₈₉	#460	1	2	yes	—
210	Dic₈₉	#473	1	2	yes	—
211	#19204	—	89	1	no	maximal, Sylow
212	C₂×C₈₉	C₂×#460	1	1	yes	characteristic
213	C₂×C₈₉	#3059	1	1	yes	characteristic
214	C₂×C₈₉	C₂×#473	1	1	yes	characteristic
215	D₈₉	—	2	2	no	—
216	#3229	—	89	2	no	—
217	C₂×#494	—	89	1	no	—
218	#2960	—	89	1	no	—
219	#1690	—	89	2	no	—
220	#1690	—	89	2	no	—
221	#1670	—	89	1	no	—
222	#1670	—	89	1	no	—
223	#1670	—	89	1	no	—
224	#1670	D₈₉	1	1	yes	characteristic, complemented
225	#1564	—	89	1	no	—
226	#1546	—	89	2	no	—
227	C₈₉	#19204	1	1	yes	characteristic, complemented, Sylow
228	C₂²×Q₁₆	—	178	1	no	—
229	C₂²×Q₁₆	—	178	1	no	—
230	#533	—	89	1	no	—
231	C₂×C₄⋊Q₈	—	89	2	no	—
232	#498	—	178	2	no	—
233	#494	—	89	2	no	—
234	#494	—	89	1	no	—
235	#494	—	178	1	no	—
236	#494	—	178	1	no	—
237	#494	C₂×D₈₉	1	1	yes	characteristic
238	#487	—	178	2	no	—
239	#483	—	178	2	no	—
240	#483	—	178	2	no	—
241	#475	—	89	2	no	—
242	#475	—	89	2	no	—
243	#475	—	89	2	no	—
244	#475	C₂×D₈₉	1	2	yes	—
245	#446	—	89	1	no	—
246	#446	—	89	1	no	—
247	#446	—	178	1	no	—
248	C₈×Q₈	—	89	1	no	—
249	C₈×Q₈	—	178	1	no	—
250	C₈×Q₈	C₂×D₈₉	1	1	yes	characteristic
251	#431	—	89	2	no	—
252	#424	—	178	1	no	—
253	#423	—	89	1	no	—
254	#405	—	178	1	no	—
255	C₂×C₄×C₈	—	89	1	no	—
256	#335	—	89	1	no	—
257	#335	C₂×D₈₉	1	1	yes	characteristic
258	#334	—	89	2	no	—
259	#332	—	89	2	no	—
260	#332	—	89	2	no	—
261	#332	—	89	2	no	—
262	#332	C₂×D₈₉	1	2	yes	—
263	C₂²×Q₈	—	178	2	no	—
264	C₂×Q₁₆	—	2	1	no	—
265	C₂×Q₁₆	—	2	1	no	—
266	C₂×Q₁₆	—	356	4	no	—
267	C₂×Q₁₆	—	356	4	no	—
268	C₂×Q₁₆	—	178	2	no	—
269	C₂×Q₁₆	—	178	2	no	—
270	C₂×Q₁₆	—	178	1	no	—
271	C₂×Q₁₆	—	178	1	no	—
272	C₂×M₁₆	—	178	1	no	—
273	C₂²×C₈	—	89	1	no	—
274	C₂²×C₈	—	89	1	no	—
275	C₄⋊Q₈	—	89	1	no	—
276	C₄⋊Q₈	—	89	1	no	—
277	C₄⋊Q₈	—	89	2	no	—
278	C₄⋊Q₈	—	178	2	no	—
279	C₄⋊Q₈	—	178	2	no	—
280	C₄⋊Q₈	—	178	2	no	—
281	C₄⋊Q₈	C₂²×D₈₉	1	2	yes	—
282	#125	—	178	1	no	—
283	C₂²⋊Q₈	—	89	1	no	—
284	C₂²⋊Q₈	—	89	1	no	—
285	C₂²⋊Q₈	—	178	1	no	—
286	C₄×Q₈	—	89	1	no	—
287	C₄×Q₈	—	178	1	no	—
288	C₄×Q₈	C₂²×D₈₉	1	1	yes	characteristic
289	#117	—	178	1	no	—
290	C₂×C₄⋊C₄	—	178	2	no	—
291	C₂×C₄⋊C₄	—	178	2	no	—
292	C₂×C₄²	—	89	1	no	—
293	#106	—	2	2	no	—
294	#106	—	178	2	no	—
295	#106	—	178	2	no	—
296	#106	—	178	2	no	—
297	C₄⋊C₈	—	2	1	no	—
298	C₄⋊C₈	—	89	1	no	—
299	C₄⋊C₈	—	89	2	no	—
300	C₄⋊C₈	—	178	1	no	—
301	C₄⋊C₈	—	178	1	no	—
302	C₄⋊C₈	—	178	1	no	—
303	C₄⋊C₈	—	178	1	no	—
304	C₄⋊C₈	C₂²×D₈₉	1	1	yes	characteristic
305	C₄⋊C₈	C₂²×D₈₉	1	2	yes	—
306	#103	—	2	2	no	—
307	#103	—	178	2	no	—
308	#103	—	178	2	no	—
309	#103	—	178	2	no	—
310	C₂²⋊C₈	—	178	2	no	—
311	#97	—	178	1	no	—
312	#97	—	178	1	no	—
313	C₄×C₈	—	2	1	no	—
314	C₄×C₈	—	89	1	no	—
315	C₄×C₈	—	89	1	no	—
316	C₄×C₈	—	89	1	no	—
317	C₄×C₈	—	178	2	no	—
318	C₄×C₈	—	178	1	no	—
319	C₄×C₈	C₂²×D₈₉	1	1	yes	characteristic
320	C₂×Q₈	—	2	2	no	—
321	C₂×Q₈	—	89	1	no	—
322	C₂×Q₈	—	356	2	no	—
323	C₂×Q₈	—	356	4	no	—
324	C₂×Q₈	—	356	4	no	—
325	C₂×Q₈	—	178	1	no	—
326	C₂×Q₈	—	178	2	no	—
327	C₂×Q₈	D₄×D₈₉	1	1	yes	characteristic
328	C₂²×C₄	—	89	1	no	—
329	C₂²×C₄	—	89	1	no	—
330	C₂²×C₄	—	89	1	no	—
331	C₂²×C₄	—	356	2	no	—
332	Q₁₆	—	4	2	no	—
333	Q₁₆	—	4	2	no	—
334	Q₁₆	—	356	2	no	—
335	Q₁₆	—	356	4	no	—
336	Q₁₆	—	356	4	no	—
337	Q₁₆	—	356	2	no	—
338	M₁₆	—	356	2	no	—
339	C₂×C₈	—	2	1	no	—
340	C₂×C₈	—	2	2	no	—
341	C₂×C₈	—	89	1	no	—
342	C₂×C₈	—	89	4	no	—
343	C₂×C₈	—	89	1	no	—
344	C₂×C₈	—	178	2	no	—
345	C₂×C₈	—	178	1	no	—
346	C₂×C₈	—	178	2	no	—
347	C₂×C₈	D₄×D₈₉	1	1	yes	characteristic
348	C₂×C₈	D₄×D₈₉	1	1	yes	characteristic
349	C₄⋊C₄	—	2	1	no	—
350	C₄⋊C₄	—	2	2	no	—
351	C₄⋊C₄	—	2	2	no	—
352	C₄⋊C₄	—	89	1	no	—
353	C₄⋊C₄	—	356	2	no	—
354	C₄⋊C₄	—	356	2	no	—
355	C₄⋊C₄	—	178	1	no	—
356	C₄⋊C₄	—	178	1	no	—
357	C₄⋊C₄	—	178	1	no	—
358	C₄⋊C₄	—	178	1	no	—
359	C₄⋊C₄	—	178	1	no	—
360	C₄⋊C₄	—	178	2	no	—
361	C₄⋊C₄	—	178	2	no	—
362	C₄⋊C₄	—	178	1	no	—
363	C₄⋊C₄	D₄×D₈₉	1	1	yes	characteristic
364	C₂²⋊C₄	—	178	1	no	—
365	C₂²⋊C₄	—	178	1	no	—
366	C₄²	—	2	1	no	—
367	C₄²	—	89	1	no	—
368	C₄²	—	89	1	no	—
369	C₄²	—	89	1	no	—
370	C₄²	—	178	1	no	—
371	C₄²	C₂³×D₈₉	1	1	yes	characteristic
372	C₂³	—	89	1	no	—
373	Q₈	—	2	1	no	—
374	Q₈	—	2	1	no	—
375	Q₈	—	4	2	no	—
376	Q₈	—	4	2	no	—
377	Q₈	—	356	2	no	—
378	Q₈	—	356	2	no	—
379	Q₈	—	356	2	no	—
380	Q₈	—	178	1	no	—
381	Q₈	—	178	1	no	—
382	Q₈	—	712	4	no	—
383	C₂×C₄	—	2	1	no	—
384	C₂×C₄	—	2	1	no	—
385	C₂×C₄	—	4	2	no	—
386	C₂×C₄	—	89	1	no	—
387	C₂×C₄	—	89	1	no	—
388	C₂×C₄	—	89	2	no	—
389	C₂×C₄	—	89	2	no	—
390	C₂×C₄	—	89	1	no	—
391	C₂×C₄	—	356	2	no	—
392	C₂×C₄	—	178	2	no	—
393	C₂×C₄	—	178	1	no	—
394	C₂×C₄	—	178	1	no	—
395	C₂×C₄	—	178	1	no	—
396	C₂×C₄	—	178	1	no	—
397	C₂×C₄	—	712	4	no	—
398	C₂×C₄	C₂×D₄×D₈₉	1	1	yes	characteristic
399	C₂×C₄	C₂×D₄×D₈₉	1	1	yes	characteristic
400	C₂×C₄	#41×D₈₉	1	1	yes	characteristic
401	C₈	—	2	1	no	—
402	C₈	—	4	2	no	—
403	C₈	—	4	1	no	—
404	C₈	—	89	2	no	—
405	C₈	—	356	2	no	—
406	C₈	—	356	1	no	—
407	C₈	—	178	1	no	—
408	C₈	SD₁₆×D₈₉	1	2	yes	—
409	C₂²	—	89	2	no	—
410	C₂²	—	178	1	no	—
411	C₂²	—	178	1	no	—
412	C₂²	#121×D₈₉	1	1	yes	characteristic
413	C₄	—	2	1	no	—
414	C₄	—	4	1	no	—
415	C₄	—	4	1	no	—
416	C₄	—	8	2	no	—
417	C₄	—	89	2	no	—
418	C₄	—	89	2	no	—
419	C₄	—	356	1	no	—
420	C₄	—	356	1	no	—
421	C₄	—	178	1	no	—
422	C₄	—	712	2	no	—
423	C₄	C₂×SD₁₆×D₈₉	1	1	yes	characteristic
424	C₄	AGL(1,ℤ/8)×D₈₉	1	1	yes	characteristic
425	C₄	#19152411	1	1	yes	characteristic
426	C₄	#19152412	1	1	yes	characteristic
427	C₂	—	178	2	no	—
428	C₂	#460×D₈₉	1	1	yes	characteristic
429	C₂	#26029902	1	1	yes	characteristic
430	C₂	#473×D₈₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#121×D₈₉
commutator, cosocle	C₄²×C₈₉	C₂⁴
Frattini	C₄²	C₂³×D₈₉
Fitting	C₈₉×#1670	C₂
socle	C₂²×C₈₉	C₂×#121
prime radical	C₂²×D₈₉	#121
hypercenter	#1670	D₈₉
hypocenter	C₈₉	#19204
LCS	G ▷ C₄²×C₈₉ ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #1670

Complements

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

N	H ≅ G/N	type
4. #26019745	C₂	semidirect
5. #26019744	C₂	semidirect
6. #26019623	C₂	semidirect
7. #26019622	C₂	semidirect
8. #26019619	C₂	semidirect
11. C₈₉×#1670	C₂	semidirect
224. #1670	D₈₉	semidirect
227. C₈₉	#19204	semidirect

Maximal subgroups

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

subgroup	index
#26031395	2
#494×D₈₉	2
#26029181	2
#26019745	2
#26019744	2
#26019623	2
#26019622	2
#26019619	2
#26018999	2
#26018922	2
C₈₉×#1670	2
#19204	89