Subgroups — #36539689

Order 22784.

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	#26030347	C₂	1	1	yes	maximal, characteristic
2	#26030256	C₂	1	1	yes	maximal, characteristic
3	#26029275	C₂	1	1	yes	maximal, characteristic
4	#26019700	C₂	1	2	yes	maximal, complemented
5	#26019672	C₂	1	2	yes	maximal, complemented
6	#26019638	C₂	1	2	yes	maximal, complemented
7	#26019624	C₂	1	2	yes	maximal, complemented
8	#26019032	C₂	1	1	yes	maximal, characteristic, complemented
9	#26018962	C₂	1	1	yes	maximal, characteristic, complemented
10	#26018917	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈₉×#3231	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₄×D₃₅₆	C₂²	1	1	yes	characteristic
13	#19151931	—	2	1	no	—
14	#19151926	—	2	1	no	—
15	#19151885	C₂²	1	2	yes	—
16	#19151875	C₂²	1	2	yes	—
17	#19151800	C₂²	1	2	yes	—
18	#19151800	C₂²	1	2	yes	—
19	#19151748	—	2	1	no	—
20	#19151748	—	2	1	no	—
21	#19151696	—	2	2	no	—
22	C₄×#13083561	—	2	2	no	—
23	C₈×D₃₅₆	C₂²	1	2	yes	—
24	C₈×D₃₅₆	C₂²	1	2	yes	—
25	#19151663	—	2	2	no	—
26	#19151655	C₂²	1	1	yes	characteristic
27	#19151651	C₂²	1	1	yes	characteristic
28	#19151651	C₂²	1	1	yes	characteristic
29	C₂²⋊C₈×D₈₉	—	2	2	no	—
30	#19151351	C₂²	1	2	yes	complemented
31	#19151349	C₂²	1	2	yes	complemented
32	#19151347	C₂²	1	2	yes	complemented
33	#19151344	C₂²	1	2	yes	complemented
34	#19151344	C₂²	1	2	yes	complemented
35	#19151344	C₂²	1	2	yes	complemented
36	#533×C₈₉	C₂²	1	1	yes	characteristic
37	#533×C₈₉	C₂²	1	1	yes	characteristic
38	#500×C₈₉	C₂²	1	1	yes	characteristic, complemented
39	#498×C₈₉	C₂²	1	1	yes	characteristic, complemented
40	#487×C₈₉	C₂²	1	1	yes	characteristic, complemented
41	#487×C₈₉	C₂²	1	1	yes	characteristic, complemented
42	#485×C₈₉	—	2	2	no	—
43	#479×C₈₉	—	2	2	no	—
44	#431×C₈₉	C₂²	1	1	yes	characteristic
45	C₂²×D₃₅₆	D₄	1	1	yes	characteristic
46	C₂²×C₄×D₈₉	—	2	1	no	—
47	C₂×#13083561	—	2	2	no	—
48	C₂×#13083561	—	2	2	no	—
49	C₂×C₈×D₈₉	—	2	2	no	—
50	C₂×C₈×D₈₉	—	2	2	no	—
51	C₄×D₃₅₆	—	2	1	no	—
52	C₄×D₃₅₆	—	2	1	no	—
53	C₄×D₃₅₆	D₄	1	2	yes	—
54	C₄×D₃₅₆	C₂³	1	2	yes	—
55	C₂×C₄⋊Dic₈₉	D₄	1	1	yes	characteristic
56	C₂×#13083551	—	2	1	no	—
57	#15667945	—	2	2	no	—
58	#15667943	—	2	2	no	—
59	C₄⋊#10623494	C₂³	1	2	yes	—
60	C₄⋊#10623494	C₂³	1	2	yes	—
61	C₄⋊#10623494	C₂³	1	2	yes	—
62	#15667936	—	2	2	no	—
63	#15667936	—	2	2	no	—
64	#15667932	—	2	2	no	—
65	#15667932	—	2	2	no	—
66	C₂²⋊#10623494	—	2	1	no	—
67	C₂²⋊#10623494	—	2	1	no	—
68	C₂²⋊#10623494	—	2	1	no	—
69	#15667924	—	2	2	no	—
70	#15667924	—	2	2	no	—
71	#15667923	—	2	1	no	—
72	C₄×#10623494	—	2	1	no	—
73	C₄×#10623494	—	2	1	no	—
74	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
75	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
76	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
77	C₄⋊Q₈×C₈₉	C₂³	1	1	yes	characteristic
78	#125×C₈₉	—	2	1	no	—
79	#125×C₈₉	—	2	1	no	—
80	C₂²⋊Q₈×C₈₉	—	2	1	no	—
81	C₂²⋊Q₈×C₈₉	—	2	1	no	—
82	C₂²⋊Q₈×C₈₉	—	2	1	no	—
83	C₂²⋊Q₈×C₈₉	—	2	1	no	—
84	C₄×Q₈×C₈₉	—	2	1	no	—
85	C₄×Q₈×C₈₉	—	2	1	no	—
86	C₄×Q₈×C₈₉	—	2	1	no	—
87	C₄×Q₈×C₈₉	—	2	1	no	—
88	#117×C₈₉	—	2	1	no	—
89	#117×C₈₉	—	2	1	no	—
90	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
91	#107×C₈₉	—	2	2	no	—
92	#106×C₈₉	—	2	2	no	—
93	C₄⋊C₈×C₈₉	D₄	1	2	yes	—
94	#103×C₈₉	—	2	2	no	—
95	#103×C₈₉	—	2	2	no	—
96	C₂²⋊C₈×C₈₉	D₄	1	2	yes	—
97	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
98	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
99	C₂³×D₈₉	—	2	1	no	—
100	C₂×D₃₅₆	—	2	1	no	—
101	C₂×D₃₅₆	—	2	4	no	—
102	C₂×D₃₅₆	C₂×D₄	1	2	yes	—
103	C₂²×Dic₈₉	—	2	1	no	—
104	C₂×C₄×D₈₉	—	2	2	no	—
105	C₂×C₄×D₈₉	—	2	2	no	—
106	C₂×C₄×D₈₉	—	8	2	no	—
107	#13083561	—	4	4	no	—
108	#13083561	—	4	4	no	—
109	C₂×#10623494	—	2	2	no	—
110	C₂×#10623494	—	2	2	no	—
111	C₂×#10623494	—	2	2	no	—
112	C₈×D₈₉	—	8	2	no	—
113	C₈×D₈₉	—	8	2	no	—
114	C₄⋊Dic₈₉	—	2	1	no	—
115	C₄⋊Dic₈₉	C₂×D₄	1	2	yes	—
116	#13083551	—	2	2	no	—
117	#13083551	—	2	2	no	—
118	C₂×Q₈×C₈₉	—	2	1	no	—
119	C₂×Q₈×C₈₉	—	2	1	no	—
120	C₂×Q₈×C₈₉	—	2	1	no	—
121	C₂×Q₈×C₈₉	—	2	1	no	—
122	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
123	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
124	C₂²×C₄×C₈₉	#41	1	1	yes	characteristic
125	C₂×C₈×C₈₉	C₂×D₄	1	2	yes	—
126	C₂×C₈×C₈₉	C₂×D₄	1	2	yes	—
127	C₄⋊C₄×C₈₉	—	2	1	no	—
128	C₄⋊C₄×C₈₉	—	2	1	no	—
129	C₄⋊C₄×C₈₉	—	2	1	no	—
130	C₄⋊C₄×C₈₉	—	2	1	no	—
131	C₄⋊C₄×C₈₉	—	2	1	no	—
132	C₄⋊C₄×C₈₉	—	2	1	no	—
133	C₄⋊C₄×C₈₉	—	2	1	no	—
134	C₄⋊C₄×C₈₉	—	2	1	no	—
135	C₄⋊C₄×C₈₉	—	4	1	no	—
136	C₄⋊C₄×C₈₉	—	4	1	no	—
137	C₄⋊C₄×C₈₉	—	4	1	no	—
138	C₄⋊C₄×C₈₉	—	4	1	no	—
139	C₂²⋊C₄×C₈₉	—	4	1	no	—
140	C₂²⋊C₄×C₈₉	—	4	1	no	—
141	C₄²×C₈₉	—	4	1	no	—
142	C₄²×C₈₉	—	4	1	no	—
143	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
144	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
145	C₄²×C₈₉	#41	1	1	yes	characteristic
146	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
147	C₂³×C₈₉	#121	1	1	yes	characteristic
148	C₂²×D₈₉	—	2	2	no	—
149	C₂²×D₈₉	—	2	4	no	—
150	C₂²×D₈₉	—	8	1	no	—
151	C₂²×D₈₉	—	8	1	no	—
152	Q₈×C₈₉	—	4	2	no	—
153	Q₈×C₈₉	—	4	2	no	—
154	Q₈×C₈₉	—	4	2	no	—
155	Q₈×C₈₉	—	8	1	no	—
156	C₂×C₄×C₈₉	—	2	2	no	—
157	C₂×C₄×C₈₉	—	2	2	no	—
158	C₂×C₄×C₈₉	—	4	1	no	—
159	C₂×C₄×C₈₉	—	4	1	no	—
160	C₂×C₄×C₈₉	—	4	1	no	—
161	C₂×C₄×C₈₉	—	4	1	no	—
162	C₂×C₄×C₈₉	—	4	1	no	—
163	C₂×C₄×C₈₉	#121	1	1	yes	characteristic
164	C₂×C₄×C₈₉	#121	1	1	yes	characteristic
165	C₂×C₄×C₈₉	#121	1	1	yes	characteristic
166	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
169	C₂×Dic₈₉	—	2	2	no	—
170	C₂×Dic₈₉	—	8	1	no	—
171	D₃₅₆	—	2	4	no	—
172	D₃₅₆	—	2	2	no	—
173	D₃₅₆	#135	1	4	yes	—
174	C₄×D₈₉	—	4	2	no	—
175	C₄×D₈₉	—	4	2	no	—
176	C₄×D₈₉	—	8	2	no	—
177	C₈×C₈₉	—	2	2	no	—
178	C₈×C₈₉	—	2	2	no	—
179	#10623494	—	4	2	no	—
180	#10623494	—	4	2	no	—
181	#10623494	—	4	2	no	—
182	C₂²×C₈₉	—	2	1	no	—
183	C₂²×C₈₉	—	2	1	no	—
184	C₂²×C₈₉	—	2	1	no	—
185	C₂²×C₈₉	C₂×#121	1	1	yes	characteristic
186	C₂×D₈₉	—	2	4	no	—
187	C₂×D₈₉	—	4	2	no	—
188	C₂×D₈₉	—	4	2	no	—
189	C₂×D₈₉	—	8	4	no	—
190	C₄×C₈₉	—	2	1	no	—
191	C₄×C₈₉	—	2	1	no	—
192	C₄×C₈₉	—	2	1	no	—
193	C₄×C₈₉	—	2	1	no	—
194	C₄×C₈₉	—	8	1	no	—
195	C₄×C₈₉	—	8	1	no	—
196	C₄×C₈₉	—	8	1	no	—
197	C₄×C₈₉	—	8	1	no	—
198	C₄×C₈₉	C₂×#135	1	2	yes	—
199	C₄×C₈₉	#577	1	2	yes	—
200	Dic₈₉	—	4	2	no	—
201	#19395	—	89	1	no	maximal, Sylow
202	C₂×C₈₉	—	4	1	no	—
203	C₂×C₈₉	#3042	1	1	yes	characteristic
204	C₂×C₈₉	#3050	1	1	yes	characteristic
205	C₂×C₈₉	#3069	1	1	yes	characteristic
206	D₈₉	—	4	4	no	—
207	#3231	D₈₉	1	1	yes	characteristic, complemented
208	#3110	—	89	1	no	—
209	#3101	—	89	1	no	—
210	#2972	—	89	1	no	—
211	#1683	—	89	2	no	—
212	#1679	—	89	2	no	—
213	#1673	—	89	2	no	—
214	#1671	—	89	2	no	—
215	#1572	—	89	1	no	—
216	#1554	—	89	1	no	—
217	#1544	—	89	1	no	—
218	C₈₉	#19395	1	1	yes	characteristic, complemented, Sylow
219	#533	C₂×D₈₉	1	1	yes	characteristic
220	#533	C₂×D₈₉	1	1	yes	characteristic
221	C₂×C₄×D₄	—	89	1	no	—
222	#500	C₂×D₈₉	1	1	yes	characteristic, complemented
223	#498	C₂×D₈₉	1	1	yes	characteristic, complemented
224	#487	C₂×D₈₉	1	1	yes	characteristic, complemented
225	#487	C₂×D₈₉	1	1	yes	characteristic, complemented
226	#485	—	2	2	no	—
227	#484	—	178	1	no	—
228	#483	—	178	1	no	—
229	#479	—	2	2	no	—
230	#476	—	89	2	no	—
231	#474	—	89	2	no	—
232	#461	—	89	2	no	—
233	#461	—	89	2	no	—
234	#450	—	178	1	no	—
235	#450	—	178	1	no	—
236	#440	—	178	2	no	—
237	C₄×SD₁₆	—	178	2	no	—
238	C₈×D₄	—	89	2	no	—
239	C₈×D₄	—	89	2	no	—
240	C₈×D₄	—	178	2	no	—
241	#432	—	89	1	no	—
242	#431	—	89	1	no	—
243	#431	—	89	1	no	—
244	#431	C₂×D₈₉	1	1	yes	characteristic
245	C₂×C₂²⋊C₈	—	178	2	no	—
246	#335	—	89	2	no	—
247	#334	—	89	2	no	—
248	#333	—	89	2	no	—
249	#332	—	89	2	no	—
250	#332	—	89	2	no	—
251	#332	—	89	2	no	—
252	C₂²×D₄	—	89	1	no	—
253	C₂³×C₄	—	178	1	no	—
254	C₂×SD₁₆	—	178	2	no	—
255	C₂×SD₁₆	—	178	2	no	—
256	C₂²×C₈	—	178	2	no	—
257	C₂²×C₈	—	178	2	no	—
258	C₄⋊Q₈	C₂²×D₈₉	1	1	yes	characteristic
259	C₄⋊Q₈	C₂²×D₈₉	1	1	yes	characteristic
260	C₄⋊Q₈	C₂²×D₈₉	1	1	yes	characteristic
261	C₄⋊Q₈	C₂²×D₈₉	1	1	yes	characteristic
262	#125	—	2	1	no	—
263	#125	—	2	1	no	—
264	C₂²⋊Q₈	—	2	1	no	—
265	C₂²⋊Q₈	—	2	1	no	—
266	C₂²⋊Q₈	—	2	1	no	—
267	C₂²⋊Q₈	—	2	1	no	—
268	C₄×Q₈	—	2	1	no	—
269	C₄×Q₈	—	2	1	no	—
270	C₄×Q₈	—	2	1	no	—
271	C₄×Q₈	—	2	1	no	—
272	C₄×D₄	—	89	2	no	—
273	C₄×D₄	—	89	2	no	—
274	C₄×D₄	—	178	1	no	—
275	C₄×D₄	—	178	1	no	—
276	#117	—	2	1	no	—
277	#117	—	2	1	no	—
278	C₂×C₄⋊C₄	—	89	1	no	—
279	C₂×C₂²⋊C₄	—	178	1	no	—
280	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
281	#107	—	2	2	no	—
282	#107	—	178	2	no	—
283	#106	—	2	2	no	—
284	#106	—	178	2	no	—
285	C₄⋊C₈	—	89	2	no	—
286	C₄⋊C₈	—	89	2	no	—
287	C₄⋊C₈	—	89	2	no	—
288	C₄⋊C₈	C₂²⋊D₈₉	1	2	yes	—
289	#103	—	2	2	no	—
290	#103	—	2	2	no	—
291	#103	—	178	2	no	—
292	#103	—	178	2	no	—
293	#102	—	178	2	no	—
294	#102	—	178	2	no	—
295	C₂²⋊C₈	—	178	1	no	—
296	C₂²⋊C₈	—	178	1	no	—
297	C₂²⋊C₈	—	178	1	no	—
298	C₂²⋊C₈	—	178	2	no	—
299	C₂²⋊C₈	—	178	2	no	—
300	C₂²⋊C₈	C₂²⋊D₈₉	1	2	yes	—
301	#97	—	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	1	yes	characteristic
306	C₂⁴	—	178	1	no	—
307	C₂×Q₈	—	2	1	no	—
308	C₂×Q₈	—	2	1	no	—
309	C₂×Q₈	—	2	1	no	—
310	C₂×Q₈	—	2	1	no	—
311	C₂×D₄	—	89	2	no	—
312	C₂×D₄	—	178	4	no	—
313	C₂×D₄	—	178	1	no	—
314	C₂²×C₄	—	178	2	no	—
315	C₂²×C₄	—	178	1	no	—
316	C₂²×C₄	—	178	2	no	—
317	C₂²×C₄	—	712	2	no	—
318	C₂²×C₄	D₄×D₈₉	1	1	yes	characteristic
319	C₂²×C₄	C₂×C₂²⋊D₈₉	1	1	yes	characteristic
320	C₂²×C₄	#13083573	1	1	yes	characteristic
321	SD₁₆	—	356	4	no	—
322	SD₁₆	—	356	4	no	—
323	C₂×C₈	—	178	2	no	—
324	C₂×C₈	—	178	2	no	—
325	C₂×C₈	—	178	2	no	—
326	C₂×C₈	—	712	2	no	—
327	C₂×C₈	—	712	2	no	—
328	C₂×C₈	C₂×C₂²⋊D₈₉	1	2	yes	—
329	C₂×C₈	C₂×C₂²⋊D₈₉	1	2	yes	—
330	C₄⋊C₄	—	2	1	no	—
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	2	1	no	—
334	C₄⋊C₄	—	2	1	no	—
335	C₄⋊C₄	—	2	1	no	—
336	C₄⋊C₄	—	2	1	no	—
337	C₄⋊C₄	—	2	1	no	—
338	C₄⋊C₄	—	4	1	no	—
339	C₄⋊C₄	—	4	1	no	—
340	C₄⋊C₄	—	4	1	no	—
341	C₄⋊C₄	—	4	1	no	—
342	C₄⋊C₄	—	89	2	no	—
343	C₄⋊C₄	—	178	1	no	—
344	C₂²⋊C₄	—	4	1	no	—
345	C₂²⋊C₄	—	4	1	no	—
346	C₂²⋊C₄	—	178	2	no	—
347	C₂²⋊C₄	—	178	2	no	—
348	C₄²	—	4	1	no	—
349	C₄²	—	4	1	no	—
350	C₄²	D₄×D₈₉	1	1	yes	characteristic
351	C₄²	C₂×C₂²⋊D₈₉	1	1	yes	characteristic
352	C₄²	#13083573	1	1	yes	characteristic
353	C₄²	C₂³×D₈₉	1	1	yes	characteristic
354	C₂³	—	178	4	no	—
355	C₂³	—	178	2	no	—
356	C₂³	—	712	1	no	—
357	C₂³	—	712	1	no	—
358	C₂³	#15667983	1	1	yes	characteristic
359	Q₈	—	4	2	no	—
360	Q₈	—	4	2	no	—
361	Q₈	—	4	2	no	—
362	Q₈	—	8	1	no	—
363	D₄	—	89	4	no	—
364	D₄	—	178	4	no	—
365	D₄	—	178	2	no	—
366	C₂×C₄	—	2	2	no	—
367	C₂×C₄	—	2	2	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	1	no	—
370	C₂×C₄	—	4	1	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	4	1	no	—
373	C₂×C₄	—	356	2	no	—
374	C₂×C₄	—	356	2	no	—
375	C₂×C₄	—	178	2	no	—
376	C₂×C₄	—	712	2	no	—
377	C₂×C₄	—	712	1	no	—
378	C₂×C₄	#15667983	1	1	yes	characteristic
379	C₂×C₄	#15667983	1	1	yes	characteristic
380	C₂×C₄	#15667983	1	1	yes	characteristic
381	C₂×C₄	C₂×D₄×D₈₉	1	1	yes	characteristic
382	C₂×C₄	C₂²×C₂²⋊D₈₉	1	1	yes	characteristic
383	C₂×C₄	C₂×#13083573	1	1	yes	characteristic
384	C₈	—	2	2	no	—
385	C₈	—	2	2	no	—
386	C₈	—	356	2	no	—
387	C₈	—	356	2	no	—
388	C₈	—	356	2	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	356	2	no	—
393	C₂²	—	356	2	no	—
394	C₂²	—	178	4	no	—
395	C₂²	—	712	4	no	—
396	C₂²	C₂×#15667983	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	—	8	1	no	—
402	C₄	—	8	1	no	—
403	C₄	—	8	1	no	—
404	C₄	—	8	1	no	—
405	C₄	—	356	2	no	—
406	C₄	#135×D₈₉	1	2	yes	—
407	C₄	#19152406	1	2	yes	—
408	C₂	—	4	1	no	—
409	C₂	—	356	4	no	—
410	C₂	#26029760	1	1	yes	characteristic
411	C₂	#26029829	1	1	yes	characteristic
412	C₂	#26029985	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#15667983
commutator, cosocle	C₄²×C₈₉	C₂⁴
Frattini	C₄²	C₂³×D₈₉
Fitting	C₈₉×#3231	C₂
socle	C₂²×C₈₉	C₂×#121
prime radical	C₂²×D₃₅₆	D₄
hypercenter	#3231	D₈₉
hypocenter	C₈₉	#19395
LCS	G ▷ C₄²×C₈₉ ▷ C₂²×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3231

Complements

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

N	H ≅ G/N	type
4. #26019700	C₂	semidirect
5. #26019672	C₂	semidirect
6. #26019638	C₂	semidirect
7. #26019624	C₂	semidirect
8. #26019032	C₂	semidirect
9. #26018962	C₂	semidirect
10. #26018917	C₂	semidirect
11. C₈₉×#3231	C₂	semidirect
30. #19151351	C₂²	semidirect
31. #19151349	C₂²	semidirect
32. #19151347	C₂²	semidirect
33. #19151344	C₂²	semidirect
34. #19151344	C₂²	semidirect
35. #19151344	C₂²	semidirect
38. #500×C₈₉	C₂²	semidirect
39. #498×C₈₉	C₂²	semidirect
40. #487×C₈₉	C₂²	semidirect
41. #487×C₈₉	C₂²	semidirect
207. #3231	D₈₉	semidirect
218. C₈₉	#19395	semidirect
222. #500	C₂×D₈₉	semidirect
223. #498	C₂×D₈₉	semidirect
224. #487	C₂×D₈₉	semidirect
225. #487	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#26030347	2
#26030256	2
#26029275	2
#26019700	2
#26019672	2
#26019638	2
#26019624	2
#26019032	2
#26018962	2
#26018917	2
C₈₉×#3231	2
#19395	89