Subgroups — #36537854

Order 22784.

630 conjugacy classes of subgroups.

The subgroup lattice has 444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26031230	C₂	1	2	yes	maximal, complemented
2	#26030831	C₂	1	1	yes	maximal, characteristic, complemented
3	#26029227	C₂	1	1	yes	maximal, characteristic, complemented
4	#26019771	C₂	1	1	yes	maximal, characteristic, complemented
5	#26019766	C₂	1	1	yes	maximal, characteristic, complemented
6	#26019737	C₂	1	1	yes	maximal, characteristic, complemented
7	#26019732	C₂	1	1	yes	maximal, characteristic, complemented
8	#26019697	C₂	1	2	yes	maximal, complemented
9	#26019690	C₂	1	2	yes	maximal, complemented
10	#26018955	C₂	1	2	yes	maximal, complemented
11	C₈₉×#1564	C₂	1	1	yes	maximal, characteristic, complemented
12	#19152148	C₂²	1	2	yes	—
13	#19152132	C₂²	1	1	yes	characteristic
14	#19152003	C₂²	1	1	yes	characteristic
15	#19151982	—	2	2	no	—
16	#19151975	C₂²	1	1	yes	characteristic
17	#19151953	—	2	2	no	—
18	#19151945	C₂²	1	2	yes	—
19	#19151834	—	2	1	no	—
20	#19151834	—	2	1	no	—
21	#19151809	C₂²	1	2	yes	—
22	#19151804	C₂²	1	2	yes	—
23	#19151799	C₂²	1	2	yes	—
24	#19151794	C₂²	1	2	yes	—
25	#19151762	—	2	2	no	—
26	#19151745	—	2	2	no	—
27	#19151728	C₂²	1	1	yes	characteristic
28	C₈×Dic₁₇₈	C₂²	1	1	yes	characteristic
29	C₄×D₇₁₂	—	2	1	no	—
30	C₄×D₇₁₂	—	2	1	no	—
31	#19151677	C₂²	1	1	yes	characteristic
32	#19151669	—	2	1	no	—
33	C₈×D₃₅₆	C₂²	1	1	yes	characteristic
34	C₈×C₂²⋊D₈₉	—	2	1	no	—
35	#19151657	—	2	1	no	—
36	#19151655	C₂²	1	1	yes	characteristic
37	#19151552	—	2	1	no	—
38	#19151345	C₂²	1	2	yes	—
39	#19151345	C₂²	1	2	yes	—
40	#19151341	C₂²	1	2	yes	—
41	#19151341	C₂²	1	2	yes	—
42	#431×C₈₉	C₂²	1	2	yes	—
43	C₂×C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
44	#335×C₈₉	C₂²	1	2	yes	—
45	#334×C₈₉	C₂²	1	1	yes	characteristic
46	#334×C₈₉	C₂²	1	1	yes	characteristic
47	C₂×#13083574	—	2	2	no	—
48	C₂×Dic₃₅₆	—	2	2	no	—
49	C₂×#13083563	—	2	2	no	—
50	C₂×#13083563	—	2	2	no	—
51	C₂×D₇₁₂	—	2	2	no	—
52	C₂×D₇₁₂	—	2	1	no	—
53	C₂×D₇₁₂	—	2	1	no	—
54	C₂×#13083557	—	2	1	no	—
55	C₂×C₈×D₈₉	—	2	1	no	—
56	#15668012	C₂³	1	2	yes	—
57	#15668009	C₂³	1	2	yes	—
58	#15668006	—	2	1	no	—
59	#15668004	D₄	1	1	yes	characteristic
60	#15668000	—	2	2	no	—
61	#15668000	D₄	1	1	yes	characteristic
62	#15667995	—	2	1	no	—
63	#15667991	D₄	1	1	yes	characteristic
64	#15667986	—	2	2	no	—
65	#15667986	—	2	2	no	—
66	#15667986	D₄	1	1	yes	characteristic
67	C₄×Dic₁₇₈	C₂³	1	1	yes	characteristic
68	C₄×D₃₅₆	—	2	2	no	—
69	C₄×D₃₅₆	—	2	2	no	—
70	C₄×D₃₅₆	C₂³	1	1	yes	characteristic
71	C₄×C₂²⋊D₈₉	—	2	1	no	—
72	#15667969	—	2	1	no	—
73	#15667946	—	2	1	no	—
74	#15667946	—	2	1	no	—
75	C₄⋊#10623494	C₂³	1	1	yes	characteristic
76	C₄⋊#10623494	C₂³	1	1	yes	characteristic
77	#15667941	—	2	1	no	—
78	#15667941	—	2	1	no	—
79	#15667937	—	2	2	no	—
80	#15667937	—	2	2	no	—
81	#15667934	—	2	2	no	—
82	#15667934	—	2	2	no	—
83	#15667934	—	2	2	no	—
84	#15667934	—	2	2	no	—
85	C₂²⋊#10623494	—	2	1	no	—
86	#15667924	—	2	1	no	—
87	#15667924	—	2	1	no	—
88	#15667923	—	2	1	no	—
89	#15667922	—	2	1	no	—
90	C₈×Dic₈₉	—	2	1	no	—
91	C₂²×C₈×C₈₉	D₄	1	1	yes	characteristic
92	C₂²×C₈×C₈₉	D₄	1	1	yes	characteristic
93	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
94	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
95	C₄⋊C₈×C₈₉	C₂³	1	2	yes	—
96	C₂²⋊C₈×C₈₉	—	2	2	no	—
97	C₄×C₈×C₈₉	—	2	2	no	—
98	C₄×C₈×C₈₉	D₄	1	1	yes	characteristic
99	C₄×C₈×C₈₉	D₄	1	1	yes	characteristic
100	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
102	#13083574	—	8	2	no	—
103	#13083574	—	8	2	no	—
104	C₂×Dic₁₇₈	—	2	2	no	—
105	C₂×Dic₁₇₈	C₂×D₄	1	1	yes	characteristic
106	C₂×D₃₅₆	—	2	2	no	—
107	C₂×D₃₅₆	—	2	2	no	—
108	C₂×D₃₅₆	—	2	2	no	—
109	C₂×D₃₅₆	C₂×D₄	1	1	yes	characteristic
110	C₂×C₂²⋊D₈₉	—	2	1	no	—
111	C₂×C₂²⋊D₈₉	—	4	2	no	—
112	C₂×C₄×D₈₉	—	2	1	no	—
113	C₂×C₄×D₈₉	—	4	2	no	—
114	Dic₃₅₆	—	8	2	no	—
115	#13083563	—	8	2	no	—
116	#13083563	—	8	2	no	—
117	D₇₁₂	—	4	2	no	—
118	D₇₁₂	—	4	2	no	—
119	D₇₁₂	—	8	2	no	—
120	#13083557	—	4	2	no	—
121	C₂×#10623494	—	2	1	no	—
122	C₂×#10623494	—	2	1	no	—
123	C₈×D₈₉	—	4	2	no	—
124	C₄⋊Dic₈₉	—	2	2	no	—
125	C₄⋊Dic₈₉	—	2	2	no	—
126	C₄⋊Dic₈₉	C₂×D₄	1	1	yes	characteristic
127	C₄⋊Dic₈₉	C₂×D₄	1	1	yes	characteristic
128	#13083553	—	2	1	no	—
129	#13083553	—	2	1	no	—
130	#13083553	—	2	1	no	—
131	#13083553	—	2	1	no	—
132	C₂²⋊Dic₈₉	—	2	1	no	—
133	#13083551	—	2	1	no	—
134	#13083551	—	2	1	no	—
135	#13083551	—	2	1	no	—
136	#13083551	—	2	1	no	—
137	#13083551	—	4	2	no	—
138	#13083551	—	4	2	no	—
139	C₄×Dic₈₉	—	2	1	no	—
140	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
141	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
142	C₂²×C₄×C₈₉	#41	1	1	yes	characteristic
143	C₂×C₈×C₈₉	—	2	2	no	—
144	C₂×C₈×C₈₉	—	2	2	no	—
145	C₂×C₈×C₈₉	—	2	2	no	—
146	C₂×C₈×C₈₉	—	4	1	no	—
147	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
148	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
149	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
150	C₂×C₈×C₈₉	C₂×D₄	1	1	yes	characteristic
151	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
152	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
153	C₄²×C₈₉	#41	1	1	yes	characteristic
154	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
155	C₂³×C₈₉	#121	1	1	yes	characteristic
156	C₂²×D₈₉	—	2	1	no	—
157	C₂²×D₈₉	—	4	2	no	—
158	C₂×C₄×C₈₉	—	2	1	no	—
159	C₂×C₄×C₈₉	—	2	1	no	—
160	C₂×C₄×C₈₉	—	2	2	no	—
161	C₂×C₄×C₈₉	—	4	1	no	—
162	C₂×C₄×C₈₉	#121	1	1	yes	characteristic
163	C₂×C₄×C₈₉	#121	1	1	yes	characteristic
164	C₂×C₄×C₈₉	#121	1	1	yes	characteristic
165	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
168	C₂²⋊D₈₉	—	4	2	no	—
169	C₂²⋊D₈₉	—	8	4	no	—
170	C₂×Dic₈₉	—	2	1	no	—
171	C₂×Dic₈₉	—	2	1	no	—
172	C₂×Dic₈₉	—	2	1	no	—
173	C₂×Dic₈₉	—	4	2	no	—
174	D₃₅₆	—	2	2	no	—
175	D₃₅₆	—	4	2	no	—
176	D₃₅₆	—	4	2	no	—
177	D₃₅₆	—	4	2	no	—
178	D₃₅₆	—	4	2	no	—
179	D₃₅₆	—	8	2	no	—
180	C₄×D₈₉	—	4	1	no	—
181	C₄×D₈₉	—	4	1	no	—
182	C₄×D₈₉	—	8	4	no	—
183	Dic₁₇₈	—	2	2	no	—
184	Dic₁₇₈	—	4	2	no	—
185	Dic₁₇₈	—	4	2	no	—
186	C₈×C₈₉	—	2	1	no	—
187	C₈×C₈₉	—	2	1	no	—
188	C₈×C₈₉	—	2	1	no	—
189	C₈×C₈₉	—	4	2	no	—
190	C₈×C₈₉	—	4	2	no	—
191	C₈×C₈₉	#135	1	2	yes	—
192	#10623494	—	4	1	no	—
193	#10623494	—	4	1	no	—
194	C₂²×C₈₉	—	2	1	no	—
195	C₂²×C₈₉	—	2	1	no	—
196	C₂²×C₈₉	—	2	1	no	—
197	C₂²×C₈₉	C₂×#121	1	1	yes	characteristic
198	C₂×D₈₉	—	4	1	no	—
199	C₂×D₈₉	—	4	1	no	—
200	C₂×D₈₉	—	4	1	no	—
201	C₂×D₈₉	—	8	2	no	—
202	C₂×D₈₉	—	8	2	no	—
203	C₂×D₈₉	—	8	2	no	—
204	C₄×C₈₉	—	2	1	no	—
205	C₄×C₈₉	—	2	1	no	—
206	C₄×C₈₉	—	2	1	no	—
207	C₄×C₈₉	—	2	1	no	—
208	C₄×C₈₉	C₂×#135	1	1	yes	characteristic
209	C₄×C₈₉	#575	1	1	yes	characteristic
210	C₄×C₈₉	#576	1	2	yes	—
211	Dic₈₉	—	4	1	no	—
212	Dic₈₉	—	4	1	no	—
213	Dic₈₉	—	4	1	no	—
214	Dic₈₉	—	8	2	no	—
215	#19225	—	89	1	no	maximal, Sylow
216	C₂×C₈₉	—	4	1	no	—
217	C₂×C₈₉	#3035	1	1	yes	characteristic
218	C₂×C₈₉	#3058	1	1	yes	characteristic
219	C₂×C₈₉	#3067	1	1	yes	characteristic
220	D₈₉	—	8	1	no	—
221	D₈₉	—	16	2	no	—
222	#3212	—	89	2	no	—
223	#3169	—	89	1	no	—
224	#2966	—	89	1	no	—
225	#1694	—	89	1	no	—
226	#1693	—	89	1	no	—
227	#1688	—	89	1	no	—
228	#1687	—	89	1	no	—
229	#1682	—	89	2	no	—
230	#1681	—	89	2	no	—
231	#1564	D₈₉	1	1	yes	characteristic, complemented
232	#1553	—	89	2	no	—
233	C₈₉	#19225	1	1	yes	characteristic, complemented, Sylow
234	#532	—	89	2	no	—
235	#529	—	89	1	no	—
236	#500	—	89	1	no	—
237	#495	—	178	2	no	—
238	#493	—	89	1	no	—
239	#488	—	178	2	no	—
240	#486	—	89	2	no	—
241	#466	—	178	1	no	—
242	#466	—	178	1	no	—
243	#462	—	89	2	no	—
244	#461	—	89	2	no	—
245	#460	—	89	2	no	—
246	#459	—	89	2	no	—
247	#452	—	178	2	no	—
248	#449	—	178	2	no	—
249	#446	—	89	1	no	—
250	C₈×Q₈	—	89	1	no	—
251	C₄×D₈	—	178	1	no	—
252	C₄×D₈	—	178	1	no	—
253	#436	—	89	1	no	—
254	#435	—	178	1	no	—
255	C₈×D₄	—	89	1	no	—
256	C₈×D₄	—	178	1	no	—
257	#433	—	178	1	no	—
258	#432	—	89	1	no	—
259	#431	C₂×D₈₉	1	2	yes	—
260	#405	—	178	1	no	—
261	C₂×C₄×C₈	C₂×D₈₉	1	1	yes	characteristic
262	#335	C₂×D₈₉	1	2	yes	—
263	#334	C₂×D₈₉	1	1	yes	characteristic
264	#334	C₂×D₈₉	1	1	yes	characteristic
265	#332	—	89	2	no	—
266	#332	—	89	2	no	—
267	#331	—	89	2	no	—
268	#331	—	89	2	no	—
269	C₂×#41	—	178	2	no	—
270	C₂×Q₁₆	—	178	2	no	—
271	C₂×SD₁₆	—	178	2	no	—
272	C₂×SD₁₆	—	178	2	no	—
273	C₂×D₈	—	178	2	no	—
274	C₂×D₈	—	178	1	no	—
275	C₂×D₈	—	178	1	no	—
276	C₂×M₁₆	—	178	1	no	—
277	C₂²×C₈	—	178	1	no	—
278	C₂²×C₈	D₃₅₆	1	1	yes	characteristic
279	C₂²×C₈	D₃₅₆	1	1	yes	characteristic
280	C₄⋊Q₈	—	89	2	no	—
281	#127	—	89	2	no	—
282	#126	—	178	1	no	—
283	#125	—	89	1	no	—
284	#124	—	89	1	no	—
285	#124	—	178	2	no	—
286	#123	—	178	1	no	—
287	C₂²⋊Q₈	—	89	1	no	—
288	#121	—	89	1	no	—
289	#121	—	178	2	no	—
290	#121	—	178	2	no	—
291	C₄×Q₈	—	89	1	no	—
292	C₄×D₄	—	89	1	no	—
293	C₄×D₄	—	178	1	no	—
294	C₄×D₄	—	178	2	no	—
295	C₄×D₄	—	178	2	no	—
296	#117	—	178	1	no	—
297	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
298	#107	—	178	1	no	—
299	#107	—	178	1	no	—
300	C₄⋊C₈	—	89	1	no	—
301	C₄⋊C₈	—	89	1	no	—
302	C₄⋊C₈	—	178	1	no	—
303	C₄⋊C₈	—	178	1	no	—
304	C₄⋊C₈	C₂²×D₈₉	1	2	yes	—
305	C₄⋊C₈	C₂²×D₈₉	1	2	yes	—
306	#103	—	178	2	no	—
307	#103	—	178	2	no	—
308	#102	—	178	2	no	—
309	#102	—	178	2	no	—
310	#102	—	178	2	no	—
311	#102	—	178	2	no	—
312	C₂²⋊C₈	—	2	2	no	—
313	C₂²⋊C₈	—	178	1	no	—
314	C₂²⋊C₈	—	178	1	no	—
315	C₂²⋊C₈	—	178	1	no	—
316	#97	—	178	1	no	—
317	#97	—	178	1	no	—
318	C₄×C₈	—	2	2	no	—
319	C₄×C₈	—	178	1	no	—
320	C₄×C₈	D₃₅₆	1	1	yes	characteristic
321	C₄×C₈	D₃₅₆	1	1	yes	characteristic
322	C₄×C₈	C₂²×D₈₉	1	1	yes	characteristic
323	C₄×C₈	C₂²×D₈₉	1	1	yes	characteristic
324	#41	—	712	2	no	—
325	#41	—	712	2	no	—
326	C₂×Q₈	—	89	1	no	—
327	C₂×Q₈	—	178	2	no	—
328	C₂×D₄	—	89	1	no	—
329	C₂×D₄	—	356	2	no	—
330	C₂×D₄	—	178	1	no	—
331	C₂×D₄	—	178	2	no	—
332	C₂×D₄	—	178	2	no	—
333	C₂×D₄	—	178	2	no	—
334	C₂²×C₄	—	356	2	no	—
335	C₂²×C₄	—	178	1	no	—
336	C₂²×C₄	D₄×D₈₉	1	1	yes	characteristic
337	C₂²×C₄	C₂×D₃₅₆	1	1	yes	characteristic
338	C₂²×C₄	#13083575	1	1	yes	characteristic
339	Q₁₆	—	712	2	no	—
340	SD₁₆	—	712	2	no	—
341	SD₁₆	—	712	2	no	—
342	D₈	—	356	2	no	—
343	D₈	—	356	2	no	—
344	D₈	—	712	2	no	—
345	M₁₆	—	356	2	no	—
346	C₂×C₈	—	2	2	no	—
347	C₂×C₈	—	2	2	no	—
348	C₂×C₈	—	2	2	no	—
349	C₂×C₈	—	4	1	no	—
350	C₂×C₈	—	356	2	no	—
351	C₂×C₈	—	178	1	no	—
352	C₂×C₈	—	178	1	no	—
353	C₂×C₈	C₂×D₃₅₆	1	1	yes	characteristic
354	C₂×C₈	C₂×D₃₅₆	1	1	yes	characteristic
355	C₂×C₈	C₂×D₃₅₆	1	1	yes	characteristic
356	C₂×C₈	C₂×D₃₅₆	1	1	yes	characteristic
357	C₄⋊C₄	—	89	1	no	—
358	C₄⋊C₄	—	89	1	no	—
359	C₄⋊C₄	—	178	2	no	—
360	C₄⋊C₄	—	178	2	no	—
361	C₄⋊C₄	—	178	1	no	—
362	C₄⋊C₄	—	178	1	no	—
363	C₄⋊C₄	—	178	1	no	—
364	C₄⋊C₄	—	178	1	no	—
365	C₂²⋊C₄	—	356	2	no	—
366	C₂²⋊C₄	—	356	2	no	—
367	C₂²⋊C₄	—	178	1	no	—
368	C₂²⋊C₄	—	178	1	no	—
369	C₂²⋊C₄	—	178	1	no	—
370	C₂²⋊C₄	—	178	1	no	—
371	C₂²⋊C₄	—	178	1	no	—
372	C₄²	—	178	1	no	—
373	C₄²	D₄×D₈₉	1	1	yes	characteristic
374	C₄²	C₂×D₃₅₆	1	1	yes	characteristic
375	C₄²	#13083575	1	1	yes	characteristic
376	C₄²	C₂³×D₈₉	1	1	yes	characteristic
377	C₂³	—	356	2	no	—
378	C₂³	—	178	1	no	—
379	C₂³	#15667987	1	1	yes	characteristic
380	Q₈	—	356	2	no	—
381	Q₈	—	356	2	no	—
382	Q₈	—	178	2	no	—
383	D₄	—	356	2	no	—
384	D₄	—	356	2	no	—
385	D₄	—	356	2	no	—
386	D₄	—	356	2	no	—
387	D₄	—	356	2	no	—
388	D₄	—	178	2	no	—
389	D₄	—	712	2	no	—
390	D₄	—	712	4	no	—
391	C₂×C₄	—	2	1	no	—
392	C₂×C₄	—	2	2	no	—
393	C₂×C₄	—	2	1	no	—
394	C₂×C₄	—	4	1	no	—
395	C₂×C₄	—	356	1	no	—
396	C₂×C₄	—	356	1	no	—
397	C₂×C₄	—	356	2	no	—
398	C₂×C₄	—	178	1	no	—
399	C₂×C₄	—	178	1	no	—
400	C₂×C₄	—	178	1	no	—
401	C₂×C₄	—	712	4	no	—
402	C₂×C₄	#15667987	1	1	yes	characteristic
403	C₂×C₄	#15667987	1	1	yes	characteristic
404	C₂×C₄	#15667987	1	1	yes	characteristic
405	C₂×C₄	C₂×D₄×D₈₉	1	1	yes	characteristic
406	C₂×C₄	C₂²×D₃₅₆	1	1	yes	characteristic
407	C₂×C₄	C₂×#13083575	1	1	yes	characteristic
408	C₈	—	2	1	no	—
409	C₈	—	2	1	no	—
410	C₈	—	2	1	no	—
411	C₈	—	4	2	no	—
412	C₈	—	4	2	no	—
413	C₈	—	356	1	no	—
414	C₈	—	356	1	no	—
415	C₈	#15668034	1	2	yes	—
416	C₂²	—	2	1	no	—
417	C₂²	—	2	1	no	—
418	C₂²	—	2	1	no	—
419	C₂²	—	356	1	no	—
420	C₂²	—	356	1	no	—
421	C₂²	—	356	1	no	—
422	C₂²	—	712	2	no	—
423	C₂²	—	712	2	no	—
424	C₂²	—	712	2	no	—
425	C₂²	C₂×#15667987	1	1	yes	characteristic
426	C₄	—	2	1	no	—
427	C₄	—	2	1	no	—
428	C₄	—	2	1	no	—
429	C₄	—	2	1	no	—
430	C₄	—	356	1	no	—
431	C₄	—	356	1	no	—
432	C₄	—	356	1	no	—
433	C₄	—	712	2	no	—
434	C₄	C₂×#15668034	1	1	yes	characteristic
435	C₄	#19152398	1	1	yes	characteristic
436	C₄	#19152400	1	2	yes	—
437	C₂	—	4	1	no	—
438	C₂	—	1424	2	no	—
439	C₂	—	712	1	no	—
440	C₂	#26029709	1	1	yes	characteristic
441	C₂	#26029901	1	1	yes	characteristic
442	C₂	#26029973	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#15667987
commutator, cosocle	C₄²×C₈₉	C₂⁴
Frattini	C₄²	C₂³×D₈₉
Fitting	C₈₉×#1564	C₂
socle	C₂²×C₈₉	C₂×#121
hypercenter	#1564	D₈₉
hypocenter	C₈₉	#19225
LCS	G ▷ C₄²×C₈₉ ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #1564

Complements

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

N	H ≅ G/N	type
1. #26031230	C₂	semidirect
2. #26030831	C₂	semidirect
3. #26029227	C₂	semidirect
4. #26019771	C₂	semidirect
5. #26019766	C₂	semidirect
6. #26019737	C₂	semidirect
7. #26019732	C₂	semidirect
8. #26019697	C₂	semidirect
9. #26019690	C₂	semidirect
10. #26018955	C₂	semidirect
11. C₈₉×#1564	C₂	semidirect
231. #1564	D₈₉	semidirect
233. C₈₉	#19225	semidirect

Maximal subgroups

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

subgroup	index
#26031230	2
#26030831	2
#26029227	2
#26019771	2
#26019766	2
#26019737	2
#26019732	2
#26019697	2
#26019690	2
#26018955	2
C₈₉×#1564	2
#19225	89