Subgroups — #26031012

Order 11392.

472 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19152108	C₂	1	1	yes	maximal, characteristic, complemented
2	#121×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#19151935	C₂	1	1	yes	maximal, characteristic, complemented
4	#19151925	C₂	1	1	yes	maximal, characteristic, complemented
5	#19151921	C₂	1	1	yes	maximal, characteristic, complemented
6	#19151915	C₂	1	1	yes	maximal, characteristic, complemented
7	#19151832	C₂	1	1	yes	maximal, characteristic, complemented
8	#19151827	C₂	1	1	yes	maximal, characteristic, complemented
9	#19151825	C₂	1	1	yes	maximal, characteristic, complemented
10	#19151750	C₂	1	1	yes	maximal, characteristic, complemented
11	#19151744	C₂	1	1	yes	maximal, characteristic, complemented
12	#19151740	C₂	1	1	yes	maximal, characteristic, complemented
13	#19151730	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#15667924	C₂	1	1	yes	maximal, characteristic, complemented
15	#466×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#13083573	C₂²	1	1	yes	characteristic, complemented
17	C₂×D₄×D₈₉	—	2	1	no	—
18	C₂×D₄×D₈₉	C₂²	1	1	yes	characteristic
19	C₂²×C₄×D₈₉	C₂²	1	1	yes	characteristic
20	C₂×#13083563	C₂²	1	1	yes	characteristic, complemented
21	C₂×#13083562	C₂²	1	1	yes	characteristic, complemented
22	C₂×#13083559	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#10623494	C₂²	1	1	yes	characteristic, complemented
24	#15667994	—	2	1	no	—
25	#15667992	C₂²	1	1	yes	characteristic
26	#15667991	C₂²	1	1	yes	characteristic, complemented
27	#15667987	C₂²	1	1	yes	characteristic
28	#15667986	C₂²	1	1	yes	characteristic
29	#15667985	—	2	1	no	—
30	#15667984	—	2	1	no	—
31	#15667983	C₂²	1	1	yes	characteristic
32	#15667983	C₂²	1	1	yes	characteristic
33	#15667980	—	2	1	no	—
34	D₄×Dic₈₉	—	2	1	no	—
35	#15667972	—	2	1	no	—
36	#15667970	C₂²	1	1	yes	characteristic, complemented
37	C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
38	C₂²⋊C₄×D₈₉	—	2	1	no	—
39	#15667945	C₂²	1	1	yes	characteristic, complemented
40	#15667944	C₂²	1	1	yes	characteristic, complemented
41	#15667943	C₂²	1	1	yes	characteristic, complemented
42	#15667937	C₂²	1	1	yes	characteristic, complemented
43	#15667935	C₂²	1	1	yes	characteristic, complemented
44	#15667934	C₂²	1	1	yes	characteristic, complemented
45	#15667933	C₂²	1	1	yes	characteristic, complemented
46	#15667933	C₂²	1	1	yes	characteristic, complemented
47	#15667932	C₂²	1	1	yes	characteristic, complemented
48	#15667924	C₂²	1	1	yes	characteristic
49	#15667924	C₂²	1	1	yes	characteristic
50	#15667924	C₂²	1	1	yes	characteristic, complemented
51	#15667924	C₂²	1	1	yes	characteristic, complemented
52	C₂×D₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
53	C₂²×C₈×C₈₉	C₂²	1	1	yes	characteristic, complemented
54	#121×C₈₉	C₂²	1	1	yes	characteristic
55	#121×C₈₉	C₂²	1	1	yes	characteristic, complemented
56	#107×C₈₉	C₂²	1	1	yes	characteristic, complemented
57	#102×C₈₉	C₂²	1	1	yes	characteristic, complemented
58	#102×C₈₉	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₈₉	—	2	1	no	—
60	C₂³×D₈₉	D₄	1	1	yes	characteristic
61	#13083573	—	4	1	no	—
62	#13083573	—	4	1	no	—
63	C₂×Dic₁₇₈	C₂³	1	1	yes	characteristic
64	C₂×D₃₅₆	—	2	1	no	—
65	C₂×D₃₅₆	C₂³	1	1	yes	characteristic
66	C₂×C₂²⋊D₈₉	—	2	1	no	—
67	C₂×C₂²⋊D₈₉	—	2	1	no	—
68	C₂×C₂²⋊D₈₉	—	2	1	no	—
69	C₂×C₂²⋊D₈₉	—	2	1	no	—
70	C₂×C₂²⋊D₈₉	—	2	1	no	—
71	D₄×D₈₉	—	4	1	no	—
72	D₄×D₈₉	—	4	1	no	—
73	D₄×D₈₉	—	4	4	no	—
74	C₂²×Dic₈₉	—	2	1	no	—
75	C₂²×Dic₈₉	D₄	1	1	yes	characteristic
76	C₂×C₄×D₈₉	—	2	1	no	—
77	C₂×C₄×D₈₉	—	4	1	no	—
78	C₂×C₄×D₈₉	—	4	1	no	—
79	C₂×C₄×D₈₉	D₄	1	1	yes	characteristic
80	C₂×C₄×D₈₉	D₄	1	1	yes	characteristic
81	C₂×C₄×D₈₉	C₂³	1	1	yes	characteristic
82	C₂×C₄×D₈₉	C₂³	1	1	yes	characteristic
83	#13083563	—	4	1	no	—
84	#13083562	—	4	1	no	—
85	#13083559	—	4	1	no	—
86	C₂×#10623494	—	4	1	no	—
87	C₂×#10623494	C₂³	1	1	yes	characteristic
88	C₂×#10623494	C₂³	1	1	yes	characteristic
89	C₄⋊Dic₈₉	—	2	1	no	—
90	C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
91	C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
92	#13083553	—	2	1	no	—
93	#13083553	—	2	1	no	—
94	C₂²⋊Dic₈₉	—	2	1	no	—
95	C₂²⋊Dic₈₉	—	2	1	no	—
96	C₂²⋊Dic₈₉	—	2	1	no	—
97	#13083551	—	2	1	no	—
98	#13083551	—	2	1	no	—
99	#13083551	—	2	1	no	—
100	#13083551	—	2	1	no	—
101	C₄×Dic₈₉	—	2	1	no	—
102	C₂×D₄×C₈₉	—	2	1	no	—
103	C₂×D₄×C₈₉	—	2	1	no	—
104	C₂×D₄×C₈₉	C₂³	1	1	yes	characteristic
105	C₂×D₄×C₈₉	C₂³	1	1	yes	characteristic
106	C₂²×C₄×C₈₉	C₂³	1	1	yes	characteristic
107	D₈×C₈₉	—	4	1	no	—
108	C₂×C₈×C₈₉	—	4	1	no	—
109	C₂×C₈×C₈₉	C₂³	1	1	yes	characteristic
110	C₂×C₈×C₈₉	C₂³	1	1	yes	characteristic
111	C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
112	C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
113	C₂²⋊C₄×C₈₉	—	2	1	no	—
114	C₂²⋊C₄×C₈₉	—	2	1	no	—
115	C₂³×C₈₉	—	2	1	no	—
116	C₂³×C₈₉	—	2	1	no	—
117	C₂³×C₈₉	C₂×D₄	1	1	yes	characteristic
118	C₂²×D₈₉	—	2	2	no	—
119	C₂²×D₈₉	—	2	2	no	—
120	C₂²×D₈₉	—	2	1	no	—
121	C₂²×D₈₉	—	4	1	no	—
122	C₂²×D₈₉	—	4	2	no	—
123	C₂²×D₈₉	—	4	2	no	—
124	C₂²×D₈₉	—	4	2	no	—
125	C₂²×D₈₉	C₂×D₄	1	1	yes	characteristic
126	C₂²×D₈₉	C₂×D₄	1	1	yes	characteristic
127	D₄×C₈₉	—	2	1	no	—
128	D₄×C₈₉	—	2	1	no	—
129	D₄×C₈₉	—	2	1	no	—
130	D₄×C₈₉	—	2	1	no	—
131	D₄×C₈₉	—	4	2	no	—
132	D₄×C₈₉	—	4	2	no	—
133	C₂×C₄×C₈₉	—	2	1	no	—
134	C₂×C₄×C₈₉	—	2	1	no	—
135	C₂×C₄×C₈₉	—	2	1	no	—
136	C₂×C₄×C₈₉	—	2	1	no	—
137	C₂×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
139	C₂²⋊D₈₉	—	4	2	no	—
140	C₂²⋊D₈₉	—	4	2	no	—
141	C₂²⋊D₈₉	—	4	2	no	—
142	C₂²⋊D₈₉	—	4	2	no	—
143	C₂²⋊D₈₉	—	4	2	no	—
144	C₂×Dic₈₉	—	2	1	no	—
145	C₂×Dic₈₉	—	2	1	no	—
146	C₂×Dic₈₉	—	2	1	no	—
147	C₂×Dic₈₉	—	4	1	no	—
148	C₂×Dic₈₉	—	4	2	no	—
149	C₂×Dic₈₉	C₂×D₄	1	1	yes	characteristic
150	C₂×Dic₈₉	C₂×D₄	1	1	yes	characteristic
151	D₃₅₆	—	2	1	no	—
152	D₃₅₆	—	2	1	no	—
153	D₃₅₆	—	4	2	no	—
154	C₄×D₈₉	—	2	1	no	—
155	C₄×D₈₉	—	2	1	no	—
156	C₄×D₈₉	—	2	1	no	—
157	C₄×D₈₉	—	2	1	no	—
158	C₄×D₈₉	—	4	1	no	—
159	C₄×D₈₉	—	4	1	no	—
160	C₄×D₈₉	—	4	2	no	—
161	Dic₁₇₈	—	2	1	no	—
162	Dic₁₇₈	—	2	1	no	—
163	C₈×C₈₉	—	2	1	no	—
164	C₈×C₈₉	—	2	1	no	—
165	#10623494	—	2	1	no	—
166	#10623494	—	2	1	no	—
167	C₂²×C₈₉	—	2	1	no	—
168	C₂²×C₈₉	—	2	1	no	—
169	C₂²×C₈₉	—	4	1	no	—
170	C₂²×C₈₉	—	4	1	no	—
171	C₂²×C₈₉	—	4	1	no	—
172	C₂²×C₈₉	—	4	1	no	—
173	C₂²×C₈₉	—	4	1	no	—
174	C₂²×C₈₉	—	4	1	no	—
175	C₂²×C₈₉	AGL(1,ℤ/8)	1	2	yes	—
176	C₂²×C₈₉	C₂²×D₄	1	1	yes	characteristic
177	C₂×D₈₉	—	2	1	no	—
178	C₂×D₈₉	—	2	1	no	—
179	C₂×D₈₉	—	2	1	no	—
180	C₂×D₈₉	—	2	1	no	—
181	C₂×D₈₉	—	2	1	no	—
182	C₂×D₈₉	—	4	4	no	—
183	C₂×D₈₉	—	4	1	no	—
184	C₂×D₈₉	—	4	1	no	—
185	C₂×D₈₉	—	4	1	no	—
186	C₂×D₈₉	—	8	4	no	—
187	C₂×D₈₉	#135	1	2	yes	—
188	C₄×C₈₉	—	2	1	no	—
189	C₄×C₈₉	—	4	1	no	—
190	C₄×C₈₉	—	4	1	no	—
191	C₄×C₈₉	H(5,𝔽₂)	1	1	yes	characteristic
192	C₄×C₈₉	H(5,𝔽₂)	1	1	yes	characteristic
193	Dic₈₉	—	2	1	no	—
194	Dic₈₉	—	2	1	no	—
195	Dic₈₉	—	4	1	no	—
196	Dic₈₉	—	4	1	no	—
197	Dic₈₉	—	4	1	no	—
198	C₂×C₈₉	—	2	2	no	—
199	C₂×C₈₉	—	8	1	no	—
200	C₂×C₈₉	—	8	1	no	—
201	C₂×C₈₉	#534	1	1	yes	characteristic
202	C₂×C₈₉	C₂×#135	1	1	yes	characteristic
203	C₂×C₈₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	D₈₉	—	2	2	no	—
205	D₈₉	—	4	1	no	—
206	D₈₉	—	8	1	no	—
207	#3188	—	89	1	no	maximal, Sylow
208	C₈₉	#3188	1	1	yes	characteristic, complemented, Sylow
209	#525	—	89	1	no	—
210	C₂×#121	—	89	1	no	—
211	#484	—	89	1	no	—
212	#482	—	89	1	no	—
213	#482	—	89	1	no	—
214	#481	—	89	1	no	—
215	#466	—	89	1	no	—
216	#466	D₈₉	1	1	yes	characteristic, complemented
217	#465	—	89	1	no	—
218	#465	—	89	1	no	—
219	#450	—	89	1	no	—
220	#449	—	89	1	no	—
221	#449	—	89	1	no	—
222	#447	—	89	1	no	—
223	C₂×C₂²⋊C₈	—	89	1	no	—
224	C₂×#41	—	89	1	no	—
225	C₂²×D₄	—	89	1	no	—
226	C₂²×D₄	—	178	1	no	—
227	C₂³×C₄	—	89	1	no	—
228	C₂×SD₁₆	—	89	1	no	—
229	C₂×SD₁₆	—	89	1	no	—
230	C₂×D₈	—	89	1	no	—
231	C₂×D₈	C₂×D₈₉	1	1	yes	characteristic, complemented
232	C₂²×C₈	—	89	1	no	—
233	C₂²×C₈	C₂×D₈₉	1	1	yes	characteristic, complemented
234	#123	—	178	1	no	—
235	C₂²⋊Q₈	—	89	1	no	—
236	C₂²⋊Q₈	—	89	1	no	—
237	#121	—	89	1	no	—
238	#121	—	89	1	no	—
239	#121	—	89	1	no	—
240	#121	—	89	1	no	—
241	#121	—	178	1	no	—
242	#121	—	178	1	no	—
243	#121	C₂×D₈₉	1	1	yes	characteristic
244	#121	C₂×D₈₉	1	1	yes	characteristic, complemented
245	#120	—	178	1	no	—
246	C₄×D₄	—	178	1	no	—
247	C₄×D₄	—	178	1	no	—
248	#117	—	89	1	no	—
249	C₂×C₄⋊C₄	—	89	1	no	—
250	C₂×C₂²⋊C₄	—	178	1	no	—
251	#107	—	89	1	no	—
252	#107	C₂×D₈₉	1	1	yes	characteristic, complemented
253	#106	—	89	1	no	—
254	#106	—	89	1	no	—
255	#103	—	89	1	no	—
256	#103	—	89	1	no	—
257	#102	—	89	1	no	—
258	#102	—	89	1	no	—
259	#102	—	89	1	no	—
260	#102	—	89	1	no	—
261	#102	C₂×D₈₉	1	1	yes	characteristic, complemented
262	#102	C₂×D₈₉	1	1	yes	characteristic, complemented
263	C₂²⋊C₈	—	89	1	no	—
264	C₂²⋊C₈	—	89	1	no	—
265	C₂²⋊C₈	—	89	1	no	—
266	C₂²⋊C₈	—	89	1	no	—
267	C₂⁴	—	89	1	no	—
268	C₂⁴	—	178	1	no	—
269	#41	—	356	1	no	—
270	#41	—	356	1	no	—
271	C₂×Q₈	—	89	1	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	89	1	no	—
275	C₂×D₄	—	356	4	no	—
276	C₂×D₄	—	356	1	no	—
277	C₂×D₄	—	356	1	no	—
278	C₂×D₄	—	178	1	no	—
279	C₂×D₄	—	178	1	no	—
280	C₂×D₄	—	178	1	no	—
281	C₂×D₄	—	178	1	no	—
282	C₂×D₄	—	178	1	no	—
283	C₂×D₄	—	178	1	no	—
284	C₂×D₄	C₂²×D₈₉	1	1	yes	characteristic
285	C₂×D₄	C₂²×D₈₉	1	1	yes	characteristic
286	C₂²×C₄	—	89	1	no	—
287	C₂²×C₄	—	89	1	no	—
288	C₂²×C₄	—	89	1	no	—
289	C₂²×C₄	—	89	1	no	—
290	C₂²×C₄	—	89	1	no	—
291	C₂²×C₄	—	356	1	no	—
292	C₂²×C₄	—	356	1	no	—
293	C₂²×C₄	—	178	1	no	—
294	C₂²×C₄	—	178	1	no	—
295	C₂²×C₄	C₂²×D₈₉	1	1	yes	characteristic
296	SD₁₆	—	356	1	no	—
297	SD₁₆	—	356	1	no	—
298	D₈	—	4	1	no	—
299	D₈	—	356	1	no	—
300	C₂×C₈	—	4	1	no	—
301	C₂×C₈	—	89	1	no	—
302	C₂×C₈	—	89	1	no	—
303	C₂×C₈	—	356	1	no	—
304	C₂×C₈	C₂²×D₈₉	1	1	yes	characteristic
305	C₂×C₈	C₂²×D₈₉	1	1	yes	characteristic
306	C₄⋊C₄	—	89	1	no	—
307	C₄⋊C₄	—	89	1	no	—
308	C₄⋊C₄	—	178	1	no	—
309	C₄⋊C₄	—	178	1	no	—
310	C₄⋊C₄	—	178	1	no	—
311	C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
312	C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
313	C₂²⋊C₄	—	2	1	no	—
314	C₂²⋊C₄	—	2	1	no	—
315	C₂²⋊C₄	—	178	1	no	—
316	C₂²⋊C₄	—	178	1	no	—
317	C₂²⋊C₄	—	178	1	no	—
318	C₂²⋊C₄	—	178	1	no	—
319	C₂²⋊C₄	—	178	1	no	—
320	C₂²⋊C₄	—	178	1	no	—
321	C₂²⋊C₄	—	178	1	no	—
322	C₄²	—	178	1	no	—
323	C₂³	—	2	1	no	—
324	C₂³	—	2	1	no	—
325	C₂³	—	89	1	no	—
326	C₂³	—	89	1	no	—
327	C₂³	—	356	1	no	—
328	C₂³	—	356	2	no	—
329	C₂³	—	356	2	no	—
330	C₂³	—	356	2	no	—
331	C₂³	—	178	2	no	—
332	C₂³	—	178	1	no	—
333	C₂³	—	178	2	no	—
334	C₂³	D₄×D₈₉	1	1	yes	characteristic
335	Q₈	—	178	1	no	—
336	Q₈	—	178	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	2	1	no	—
339	D₄	—	2	1	no	—
340	D₄	—	2	1	no	—
341	D₄	—	4	2	no	—
342	D₄	—	4	2	no	—
343	D₄	—	356	2	no	—
344	D₄	—	356	2	no	—
345	D₄	—	356	2	no	—
346	D₄	—	356	2	no	—
347	D₄	—	356	2	no	—
348	D₄	—	356	2	no	—
349	D₄	—	178	1	no	—
350	D₄	—	178	1	no	—
351	C₂×C₄	—	2	1	no	—
352	C₂×C₄	—	2	1	no	—
353	C₂×C₄	—	2	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	89	1	no	—
356	C₂×C₄	—	89	1	no	—
357	C₂×C₄	—	356	1	no	—
358	C₂×C₄	—	356	1	no	—
359	C₂×C₄	—	356	2	no	—
360	C₂×C₄	—	356	2	no	—
361	C₂×C₄	—	356	1	no	—
362	C₂×C₄	—	178	1	no	—
363	C₂×C₄	—	178	1	no	—
364	C₂×C₄	—	178	1	no	—
365	C₂×C₄	—	178	1	no	—
366	C₂×C₄	—	178	1	no	—
367	C₂×C₄	—	178	1	no	—
368	C₂×C₄	—	178	1	no	—
369	C₂×C₄	D₄×D₈₉	1	1	yes	characteristic
370	C₂×C₄	C₂³×D₈₉	1	1	yes	characteristic
371	C₈	—	2	1	no	—
372	C₈	—	2	1	no	—
373	C₈	—	178	1	no	—
374	C₈	—	178	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	1	no	—
377	C₂²	—	4	1	no	—
378	C₂²	—	4	1	no	—
379	C₂²	—	4	1	no	—
380	C₂²	—	4	1	no	—
381	C₂²	—	4	1	no	—
382	C₂²	—	4	1	no	—
383	C₂²	—	89	2	no	—
384	C₂²	—	356	4	no	—
385	C₂²	—	356	1	no	—
386	C₂²	—	356	1	no	—
387	C₂²	—	356	1	no	—
388	C₂²	—	178	1	no	—
389	C₂²	—	178	1	no	—
390	C₂²	—	178	1	no	—
391	C₂²	—	178	1	no	—
392	C₂²	—	178	1	no	—
393	C₂²	—	712	4	no	—
394	C₂²	#15668036	1	2	yes	—
395	C₂²	C₂×D₄×D₈₉	1	1	yes	characteristic
396	C₄	—	2	1	no	—
397	C₄	—	4	1	no	—
398	C₄	—	4	1	no	—
399	C₄	—	356	1	no	—
400	C₄	—	356	1	no	—
401	C₄	—	356	1	no	—
402	C₄	—	178	1	no	—
403	C₄	—	178	1	no	—
404	C₄	#15668057	1	1	yes	characteristic
405	C₄	#15668058	1	1	yes	characteristic
406	C₂	—	2	2	no	—
407	C₂	—	8	1	no	—
408	C₂	—	8	1	no	—
409	C₂	—	356	1	no	—
410	C₂	—	178	2	no	—
411	C₂	—	712	1	no	—
412	C₂	#19152156	1	1	yes	characteristic
413	C₂	#135×D₈₉	1	1	yes	characteristic
414	C₂	C₂×#15668036	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₈₉
commutator, cosocle	C₂×C₄×C₈₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₈₉
Fitting	#466×C₈₉	C₂
socle	C₂²×C₈₉	C₂²×D₄
hypercenter	#466	D₈₉
hypocenter	C₈₉	#3188
LCS	G ▷ C₂×C₄×C₈₉ ▷ C₂×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #466

Complements

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

N	H ≅ G/N	type
1. #19152108	C₂	semidirect
2. #121×D₈₉	C₂	semidirect
3. #19151935	C₂	semidirect
4. #19151925	C₂	semidirect
5. #19151921	C₂	semidirect
6. #19151915	C₂	semidirect
7. #19151832	C₂	semidirect
8. #19151827	C₂	semidirect
9. #19151825	C₂	semidirect
10. #19151750	C₂	semidirect
11. #19151744	C₂	semidirect
12. #19151740	C₂	semidirect
13. #19151730	C₂	semidirect
14. C₂×#15667924	C₂	semidirect
15. #466×C₈₉	C₂	semidirect
16. C₂×#13083573	C₂²	semidirect
20. C₂×#13083563	C₂²	semidirect
21. C₂×#13083562	C₂²	semidirect
22. C₂×#13083559	C₂²	semidirect
23. C₂²×#10623494	C₂²	semidirect
26. #15667991	C₂²	semidirect
36. #15667970	C₂²	semidirect
39. #15667945	C₂²	semidirect
40. #15667944	C₂²	semidirect
41. #15667943	C₂²	semidirect
42. #15667937	C₂²	semidirect
43. #15667935	C₂²	semidirect
44. #15667934	C₂²	semidirect
45. #15667933	C₂²	semidirect
46. #15667933	C₂²	semidirect
47. #15667932	C₂²	semidirect
50. #15667924	C₂²	semidirect
51. #15667924	C₂²	semidirect
52. C₂×D₈×C₈₉	C₂²	semidirect
53. C₂²×C₈×C₈₉	C₂²	semidirect
55. #121×C₈₉	C₂²	semidirect
56. #107×C₈₉	C₂²	semidirect
57. #102×C₈₉	C₂²	semidirect
58. #102×C₈₉	C₂²	semidirect
208. C₈₉	#3188	semidirect
216. #466	D₈₉	semidirect
231. C₂×D₈	C₂×D₈₉	semidirect
233. C₂²×C₈	C₂×D₈₉	semidirect
244. #121	C₂×D₈₉	semidirect
252. #107	C₂×D₈₉	semidirect
261. #102	C₂×D₈₉	semidirect
262. #102	C₂×D₈₉	semidirect

Maximal subgroups

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

subgroup	index
#19152108	2
#121×D₈₉	2
#19151935	2
#19151925	2
#19151921	2
#19151915	2
#19151832	2
#19151827	2
#19151825	2
#19151750	2
#19151744	2
#19151740	2
#19151730	2
C₂×#15667924	2
#466×C₈₉	2
#3188	89