Subgroups — #28741901

Order 15104.

734 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×M₃₂×D₅₉	C₂	1	2	yes	maximal, complemented
2	C₂×C₈×D₂₃₆	C₂	1	1	yes	maximal, characteristic
3	#21425927	C₂	1	2	yes	maximal, complemented
4	#21425920	C₂	1	4	yes	maximal, complemented
5	#21425915	C₂	1	2	yes	maximal, complemented
6	#21425706	C₂	1	2	yes	maximal, complemented
7	C₄×#14273667	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅₉×#2150	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₈×D₅₉	C₂²	1	2	yes	—
10	C₂×C₄×D₂₃₆	C₄	1	1	yes	characteristic
11	C₂×#14273667	C₂²	1	1	yes	characteristic
12	C₂×#14273667	C₂²	1	1	yes	characteristic
13	C₂×#14273666	C₂²	1	4	yes	complemented
14	M₃₂×D₅₉	—	2	8	no	—
15	C₂×C₁₆×D₅₉	C₂²	1	4	yes	complemented
16	C₈×D₂₃₆	C₄	1	1	yes	characteristic
17	C₈×D₂₃₆	C₄	1	1	yes	characteristic
18	C₈×D₂₃₆	C₄	1	2	yes	—
19	C₈×D₂₃₆	C₂²	1	2	yes	—
20	C₈×D₂₃₆	C₂²	1	1	yes	characteristic
21	C₈×D₂₃₆	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊(C₅₉⋊C₈)	C₄	1	1	yes	characteristic
23	C₂×(C₂×D₅₉)⋊C₈	C₄	1	2	yes	—
24	(C₂×D₅₉)⋊C₁₆	C₂²	1	4	yes	complemented
25	(C₂×D₅₉)⋊C₁₆	C₂²	1	4	yes	complemented
26	#16837178	C₂²	1	2	yes	complemented
27	C₄×C₅₉⋊C₁₆	C₂²	1	2	yes	complemented
28	C₂×M₃₂×C₅₉	C₂²	1	2	yes	—
29	C₂×C₄×C₈×C₅₉	C₂²	1	1	yes	characteristic
30	C₅₉×C₄⋊C₁₆	C₂²	1	2	yes	complemented
31	C₅₉×C₄⋊C₁₆	C₂²	1	2	yes	complemented
32	C₂²×D₂₃₆	C₈	1	1	yes	characteristic
33	C₂²×C₄×D₅₉	C₂×C₄	1	2	yes	—
34	C₂²×C₅₉⋊C₈	C₂×C₄	1	2	yes	—
35	C₂×C₈×D₅₉	—	2	4	no	—
36	C₂×C₈×D₅₉	—	2	4	no	—
37	C₂×C₈×D₅₉	C₂×C₄	1	2	yes	—
38	C₂×C₈×D₅₉	C₂×C₄	1	2	yes	—
39	C₂×C₈×D₅₉	C₂³	1	2	yes	—
40	C₂×C₈×D₅₉	C₂³	1	2	yes	—
41	C₄×D₂₃₆	C₈	1	2	yes	—
42	C₄×D₂₃₆	C₈	1	1	yes	characteristic
43	C₄×D₂₃₆	C₈	1	1	yes	characteristic
44	C₄×D₂₃₆	C₂×C₄	1	2	yes	—
45	C₄×D₂₃₆	C₂×C₄	1	1	yes	characteristic
46	C₄×D₂₃₆	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄⋊Dic₅₉	C₈	1	1	yes	characteristic
48	C₂×(C₂×D₅₉)⋊C₄	C₈	1	2	yes	—
49	#14273667	—	2	2	no	—
50	#14273667	D₄	1	4	yes	complemented
51	#14273666	—	2	8	no	—
52	C₂×C₅₉⋊C₁₆	C₂³	1	2	yes	—
53	C₂×C₅₉⋊C₁₆	C₂³	1	2	yes	—
54	C₁₆×D₅₉	—	2	8	no	—
55	C₄⋊(C₅₉⋊C₈)	C₂×C₄	1	2	yes	—
56	C₄⋊(C₅₉⋊C₈)	C₂×C₄	1	1	yes	characteristic
57	C₄⋊(C₅₉⋊C₈)	C₂×C₄	1	1	yes	characteristic
58	(C₂×D₅₉)⋊C₈	C₂×C₄	1	2	yes	—
59	(C₂×D₅₉)⋊C₈	C₂×C₄	1	2	yes	—
60	(C₂×D₅₉)⋊C₈	C₂×C₄	1	2	yes	—
61	(C₂×D₅₉)⋊C₈	C₂×C₄	1	2	yes	—
62	C₂²×C₈×C₅₉	C₂×C₄	1	1	yes	characteristic
63	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
64	C₂×C₄²×C₅₉	C₂×C₄	1	1	yes	characteristic
65	M₃₂×C₅₉	—	2	4	no	—
66	C₂×C₁₆×C₅₉	C₂³	1	4	yes	—
67	C₄×C₈×C₅₉	C₂×C₄	1	1	yes	characteristic
68	C₄×C₈×C₅₉	C₂×C₄	1	1	yes	characteristic
69	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
70	C₄×C₈×C₅₉	C₂³	1	1	yes	characteristic
71	C₂³×D₅₉	C₂×C₈	1	2	yes	—
72	C₂²×C₄×C₅₉	C₂×C₈	1	1	yes	characteristic
73	C₂²×C₄×C₅₉	C₂×C₈	1	1	yes	characteristic
74	C₂²×C₄×C₅₉	C₂²×C₄	1	1	yes	characteristic
75	C₂²×Dic₅₉	C₂×C₈	1	2	yes	—
76	C₂×D₂₃₆	—	2	4	no	—
77	C₂×D₂₃₆	C₂×C₈	1	2	yes	—
78	C₂×D₂₃₆	C₂×C₈	1	1	yes	characteristic
79	C₂×D₂₃₆	C₂×C₈	1	1	yes	characteristic
80	C₂×C₄×D₅₉	—	2	4	no	—
81	C₂×C₄×D₅₉	—	2	4	no	—
82	C₂×C₄×D₅₉	C₂×C₈	1	2	yes	—
83	C₂×C₄×D₅₉	C₂×C₈	1	2	yes	—
84	C₂×C₄×D₅₉	C₂²×C₄	1	2	yes	—
85	C₂×C₄×D₅₉	C₂²×C₄	1	2	yes	—
86	C₂×C₈×C₅₉	—	2	2	no	—
87	C₂×C₈×C₅₉	C₂²×C₄	1	1	yes	characteristic
88	C₂×C₈×C₅₉	C₂²×C₄	1	1	yes	characteristic
89	C₂×C₈×C₅₉	C₂²×C₄	1	1	yes	characteristic
90	C₂×C₈×C₅₉	C₂×D₄	1	2	yes	—
91	C₂×C₈×C₅₉	#41	1	2	yes	—
92	C₂×C₈×C₅₉	C₂⁴	1	1	yes	characteristic
93	C₄²×C₅₉	C₂×C₈	1	1	yes	characteristic
94	C₄²×C₅₉	C₂×C₈	1	1	yes	characteristic
95	C₄²×C₅₉	C₂²×C₄	1	1	yes	characteristic
96	C₄²×C₅₉	C₂²×C₄	1	1	yes	characteristic
97	(C₂×D₅₉)⋊C₄	C₂×C₈	1	2	yes	—
98	(C₂×D₅₉)⋊C₄	C₂×C₈	1	2	yes	—
99	(C₂×D₅₉)⋊C₄	C₂×C₈	1	2	yes	—
100	(C₂×D₅₉)⋊C₄	C₂×C₈	1	2	yes	—
101	C₄⋊Dic₅₉	C₂×C₈	1	2	yes	—
102	C₄⋊Dic₅₉	C₂×C₈	1	1	yes	characteristic
103	C₄⋊Dic₅₉	C₂×C₈	1	1	yes	characteristic
104	C₂×C₅₉⋊C₈	—	2	4	no	—
105	C₂×C₅₉⋊C₈	C₂²×C₄	1	2	yes	—
106	C₂×C₅₉⋊C₈	C₂²×C₄	1	2	yes	—
107	C₈×D₅₉	—	2	4	no	—
108	C₈×D₅₉	—	2	4	no	—
109	C₈×D₅₉	—	2	2	no	—
110	C₈×D₅₉	—	2	2	no	—
111	C₈×D₅₉	—	2	2	no	—
112	C₈×D₅₉	—	2	2	no	—
113	C₁₆×C₅₉	—	2	4	no	—
114	C₅₉⋊C₁₆	—	2	2	no	—
115	C₅₉⋊C₁₆	C₂×D₄	1	4	yes	complemented
116	C₂³×C₅₉	C₂²×C₈	1	1	yes	characteristic
117	C₂²×D₅₉	—	2	4	no	—
118	C₂²×D₅₉	—	2	4	no	—
119	C₂²×D₅₉	—	4	2	no	—
120	C₂²×D₅₉	C₂²×C₈	1	2	yes	—
121	C₂²×D₅₉	C₂²×C₈	1	2	yes	—
122	C₂×C₄×C₅₉	—	2	2	no	—
123	C₂×C₄×C₅₉	—	4	1	no	—
124	C₂×C₄×C₅₉	C₄×D₄	1	2	yes	—
125	C₂×C₄×C₅₉	C₂²×C₈	1	1	yes	characteristic
126	C₂×C₄×C₅₉	C₂²×C₈	1	1	yes	characteristic
127	C₂×C₄×C₅₉	C₂²×C₈	1	1	yes	characteristic
128	C₂×C₄×C₅₉	C₂²×C₈	1	1	yes	characteristic
129	C₂×C₄×C₅₉	C₂²×C₈	1	1	yes	characteristic
130	C₂×C₄×C₅₉	#131	1	2	yes	—
131	C₂×C₄×C₅₉	C₂³×C₄	1	1	yes	characteristic
132	C₂×Dic₅₉	—	2	4	no	—
133	C₂×Dic₅₉	C₂²×C₈	1	2	yes	—
134	C₂×Dic₅₉	C₂²×C₈	1	2	yes	—
135	D₂₃₆	—	2	4	no	—
136	D₂₃₆	—	2	2	no	—
137	D₂₃₆	M₃₂	1	4	yes	complemented
138	C₄×D₅₉	—	2	2	no	—
139	C₄×D₅₉	—	2	2	no	—
140	C₄×D₅₉	—	2	2	no	—
141	C₄×D₅₉	—	2	2	no	—
142	C₄×D₅₉	—	2	4	no	—
143	C₄×D₅₉	—	2	4	no	—
144	C₈×C₅₉	—	2	1	no	—
145	C₈×C₅₉	—	2	1	no	—
146	C₈×C₅₉	C₄×D₄	1	2	yes	—
147	C₈×C₅₉	C₂²×D₄	1	1	yes	characteristic
148	C₈×C₅₉	C₂×#41	1	1	yes	characteristic
149	C₅₉⋊C₈	—	2	2	no	—
150	C₅₉⋊C₈	—	2	2	no	—
151	D₄×M₃₂	—	59	1	no	maximal, Sylow
152	C₂²×C₅₉	—	2	1	no	—
153	C₂²×C₅₉	—	2	1	no	—
154	C₂²×C₅₉	C₈×D₄	1	2	yes	—
155	C₂²×C₅₉	C₂³×C₈	1	1	yes	characteristic
156	C₂×D₅₉	—	2	2	no	—
157	C₂×D₅₉	—	2	2	no	—
158	C₂×D₅₉	—	2	2	no	—
159	C₂×D₅₉	—	2	2	no	—
160	C₂×D₅₉	—	2	2	no	—
161	C₂×D₅₉	—	4	8	no	—
162	C₂×D₅₉	C₂×M₃₂	1	4	yes	complemented
163	C₄×C₅₉	—	2	1	no	—
164	C₄×C₅₉	—	2	1	no	—
165	C₄×C₅₉	—	2	1	no	—
166	C₄×C₅₉	C₈×D₄	1	2	yes	—
167	C₄×C₅₉	C₂×M₃₂	1	2	yes	complemented
168	C₄×C₅₉	C₂×C₄×D₄	1	1	yes	characteristic
169	C₄×C₅₉	C₂×#131	1	1	yes	characteristic
170	Dic₅₉	—	2	2	no	—
171	Dic₅₉	—	2	2	no	—
172	C₂²×M₃₂	—	59	2	no	—
173	C₂×C₈×D₄	—	59	1	no	—
174	#2169	—	59	2	no	—
175	#2168	—	59	4	no	—
176	D₄×C₁₆	—	59	2	no	—
177	#2150	D₅₉	1	1	yes	characteristic, complemented
178	#2112	—	59	2	no	—
179	C₄×M₃₂	—	59	1	no	—
180	C₂×C₅₉	—	2	2	no	—
181	C₂×C₅₉	C₂×C₈×D₄	1	1	yes	characteristic
182	C₂×C₅₉	C₂²×M₃₂	1	1	yes	characteristic
183	C₂×C₅₉	#3407	1	1	yes	characteristic
184	D₅₉	—	2	4	no	—
185	D₅₉	—	4	2	no	—
186	C₂³×C₈	—	59	2	no	—
187	C₂×C₄×D₄	—	59	1	no	—
188	C₂×M₃₂	—	59	1	no	—
189	C₂×M₃₂	—	59	1	no	—
190	C₂×M₃₂	—	59	4	no	—
191	C₂×M₃₂	—	118	8	no	—
192	C₂×M₃₂	C₂×D₅₉	1	2	yes	—
193	C₂²×C₁₆	—	59	4	no	—
194	C₈×D₄	—	59	2	no	—
195	C₈×D₄	—	59	1	no	—
196	C₈×D₄	—	59	1	no	—
197	C₈×D₄	—	59	1	no	—
198	C₈×D₄	—	59	2	no	—
199	C₈×D₄	—	59	1	no	—
200	C₂×C₄⋊C₈	—	59	1	no	—
201	C₂×C₂²⋊C₈	—	59	2	no	—
202	C₂×C₄×C₈	C₂×D₅₉	1	1	yes	characteristic
203	C₄⋊C₁₆	C₂×D₅₉	1	2	yes	complemented
204	C₄⋊C₁₆	C₂×D₅₉	1	2	yes	complemented
205	C₂²⋊C₁₆	—	59	4	no	—
206	C₂²⋊C₁₆	—	59	4	no	—
207	#346	—	59	2	no	—
208	C₄×C₁₆	—	59	2	no	—
209	C₅₉	D₄×M₃₂	1	1	yes	characteristic, complemented, Sylow
210	C₂²×D₄	—	59	1	no	—
211	C₂³×C₄	—	59	2	no	—
212	C₂²×C₈	—	59	2	no	—
213	C₂²×C₈	—	59	2	no	—
214	C₂²×C₈	—	59	2	no	—
215	C₂²×C₈	—	59	2	no	—
216	C₂²×C₈	—	59	2	no	—
217	C₂²×C₈	—	118	4	no	—
218	C₂²×C₈	—	118	4	no	—
219	C₂²×C₈	C₄×D₅₉	1	1	yes	characteristic
220	C₂²×C₈	C₂²×D₅₉	1	1	yes	characteristic
221	C₄×D₄	—	59	1	no	—
222	C₄×D₄	—	59	2	no	—
223	C₄×D₄	—	59	1	no	—
224	C₄×D₄	—	59	1	no	—
225	C₄×D₄	—	59	2	no	—
226	C₄×D₄	—	59	1	no	—
227	C₂×C₄⋊C₄	—	59	1	no	—
228	C₂×C₂²⋊C₄	—	59	2	no	—
229	C₂×C₄²	C₄×D₅₉	1	1	yes	characteristic
230	M₃₂	—	2	4	no	—
231	M₃₂	—	59	4	no	—
232	M₃₂	—	118	8	no	—
233	M₃₂	—	118	2	no	—
234	C₂×C₁₆	—	59	2	no	—
235	C₂×C₁₆	—	59	2	no	—
236	C₂×C₁₆	—	118	8	no	—
237	C₂×C₁₆	C₂²×D₅₉	1	4	yes	—
238	C₄⋊C₈	—	59	1	no	—
239	C₄⋊C₈	—	59	2	no	—
240	C₄⋊C₈	—	59	1	no	—
241	C₂²⋊C₈	—	59	2	no	—
242	C₂²⋊C₈	—	59	2	no	—
243	C₂²⋊C₈	—	59	2	no	—
244	C₂²⋊C₈	—	59	2	no	—
245	C₄×C₈	C₄×D₅₉	1	1	yes	characteristic
246	C₄×C₈	C₄×D₅₉	1	1	yes	characteristic
247	C₄×C₈	C₂²×D₅₉	1	1	yes	characteristic
248	C₄×C₈	C₂²×D₅₉	1	1	yes	characteristic
249	C₂⁴	—	59	2	no	—
250	C₂×D₄	—	59	1	no	—
251	C₂×D₄	—	59	2	no	—
252	C₂×D₄	—	59	1	no	—
253	C₂×D₄	—	118	4	no	—
254	C₂²×C₄	—	59	2	no	—
255	C₂²×C₄	—	59	2	no	—
256	C₂²×C₄	—	59	2	no	—
257	C₂²×C₄	—	59	2	no	—
258	C₂²×C₄	—	59	2	no	—
259	C₂²×C₄	—	118	4	no	—
260	C₂²×C₄	—	118	4	no	—
261	C₂²×C₄	C₈×D₅₉	1	1	yes	characteristic
262	C₂²×C₄	C₈×D₅₉	1	1	yes	characteristic
263	C₂²×C₄	C₂×C₄×D₅₉	1	1	yes	characteristic
264	C₂×C₈	—	2	2	no	—
265	C₂×C₈	—	59	2	no	—
266	C₂×C₈	—	59	2	no	—
267	C₂×C₈	—	118	4	no	—
268	C₂×C₈	—	118	4	no	—
269	C₂×C₈	—	118	4	no	—
270	C₂×C₈	—	118	2	no	—
271	C₂×C₈	—	118	2	no	—
272	C₂×C₈	—	118	2	no	—
273	C₂×C₈	—	118	2	no	—
274	C₂×C₈	C₂×C₄×D₅₉	1	1	yes	characteristic
275	C₂×C₈	C₂×C₄×D₅₉	1	1	yes	characteristic
276	C₂×C₈	C₂×C₄×D₅₉	1	1	yes	characteristic
277	C₂×C₈	D₄×D₅₉	1	2	yes	—
278	C₂×C₈	#11745689	1	2	yes	—
279	C₂×C₈	C₂³×D₅₉	1	1	yes	characteristic
280	C₄⋊C₄	—	59	2	no	—
281	C₄⋊C₄	—	59	1	no	—
282	C₄⋊C₄	—	59	1	no	—
283	C₂²⋊C₄	—	59	2	no	—
284	C₂²⋊C₄	—	59	2	no	—
285	C₂²⋊C₄	—	59	2	no	—
286	C₂²⋊C₄	—	59	2	no	—
287	C₄²	C₈×D₅₉	1	1	yes	characteristic
288	C₄²	C₈×D₅₉	1	1	yes	characteristic
289	C₄²	C₂×C₄×D₅₉	1	1	yes	characteristic
290	C₄²	C₂×C₄×D₅₉	1	1	yes	characteristic
291	C₁₆	—	2	4	no	—
292	C₁₆	—	59	4	no	—
293	C₁₆	—	118	2	no	—
294	C₂³	—	59	2	no	—
295	C₂³	—	59	2	no	—
296	C₂³	—	118	4	no	—
297	C₂³	—	118	4	no	—
298	C₂³	—	236	2	no	—
299	C₂³	C₂×C₈×D₅₉	1	1	yes	characteristic
300	D₄	—	59	4	no	—
301	D₄	—	118	4	no	—
302	D₄	—	118	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	4	1	no	—
305	C₂×C₄	—	59	2	no	—
306	C₂×C₄	—	59	2	no	—
307	C₂×C₄	—	118	4	no	—
308	C₂×C₄	—	118	2	no	—
309	C₂×C₄	—	118	2	no	—
310	C₂×C₄	—	118	4	no	—
311	C₂×C₄	—	118	4	no	—
312	C₂×C₄	—	118	2	no	—
313	C₂×C₄	—	118	2	no	—
314	C₂×C₄	#14273689	1	2	yes	—
315	C₂×C₄	C₂×C₈×D₅₉	1	1	yes	characteristic
316	C₂×C₄	C₂×C₈×D₅₉	1	1	yes	characteristic
317	C₂×C₄	C₂×C₈×D₅₉	1	1	yes	characteristic
318	C₂×C₄	C₂×C₈×D₅₉	1	1	yes	characteristic
319	C₂×C₄	C₂×C₈×D₅₉	1	1	yes	characteristic
320	C₂×C₄	#14273735	1	2	yes	—
321	C₂×C₄	C₂²×C₄×D₅₉	1	1	yes	characteristic
322	C₈	—	2	1	no	—
323	C₈	—	2	1	no	—
324	C₈	—	118	2	no	—
325	C₈	—	118	2	no	—
326	C₈	#14273689	1	2	yes	—
327	C₈	C₂×D₄×D₅₉	1	1	yes	characteristic
328	C₈	C₂×#11745689	1	1	yes	characteristic
329	C₂²	—	2	1	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	59	4	no	—
332	C₂²	—	118	2	no	—
333	C₂²	—	118	2	no	—
334	C₂²	—	118	2	no	—
335	C₂²	—	118	2	no	—
336	C₂²	—	118	2	no	—
337	C₂²	—	236	8	no	—
338	C₂²	#16837467	1	2	yes	—
339	C₂²	C₂²×C₈×D₅₉	1	1	yes	characteristic
340	C₄	—	2	1	no	—
341	C₄	—	2	1	no	—
342	C₄	—	2	1	no	—
343	C₄	—	118	2	no	—
344	C₄	—	118	2	no	—
345	C₄	#16837467	1	2	yes	—
346	C₄	M₃₂×D₅₉	1	2	yes	complemented
347	C₄	C₂×#14273689	1	1	yes	characteristic
348	C₄	C₂×#14273735	1	1	yes	characteristic
349	C₂	—	2	2	no	—
350	C₂	—	118	4	no	—
351	C₂	—	236	2	no	—
352	C₂	C₂×#16837467	1	1	yes	characteristic
353	C₂	C₂×M₃₂×D₅₉	1	1	yes	characteristic
354	C₂	#21437198	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂³×D₅₉
commutator, socle	C₂²×C₅₉	C₂³×C₈
Fitting	C₅₉×#2150	C₂
prime radical	C₂²×D₂₃₆	C₈
cosocle	C₂×C₈×C₅₉	C₂⁴
hypercenter	#2150	D₅₉
hypocenter	C₅₉	D₄×M₃₂
LCS	G ▷ C₂²×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂×C₈ ◁ #2150

Complements

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

N	H ≅ G/N	type
1. C₂×M₃₂×D₅₉	C₂	semidirect
3. #21425927	C₂	semidirect
4. #21425920	C₂	semidirect
5. #21425915	C₂	semidirect
6. #21425706	C₂	semidirect
7. C₄×#14273667	C₂	semidirect
8. C₅₉×#2150	C₂	semidirect
13. C₂×#14273666	C₂²	semidirect
15. C₂×C₁₆×D₅₉	C₂²	semidirect
24. (C₂×D₅₉)⋊C₁₆	C₂²	semidirect
25. (C₂×D₅₉)⋊C₁₆	C₂²	semidirect
26. #16837178	C₂²	semidirect
27. C₄×C₅₉⋊C₁₆	C₂²	semidirect
30. C₅₉×C₄⋊C₁₆	C₂²	semidirect
31. C₅₉×C₄⋊C₁₆	C₂²	semidirect
50. #14273667	D₄	semidirect
115. C₅₉⋊C₁₆	C₂×D₄	semidirect
137. D₂₃₆	M₃₂	semidirect
162. C₂×D₅₉	C₂×M₃₂	semidirect
167. C₄×C₅₉	C₂×M₃₂	semidirect
177. #2150	D₅₉	semidirect
203. C₄⋊C₁₆	C₂×D₅₉	semidirect
204. C₄⋊C₁₆	C₂×D₅₉	semidirect
209. C₅₉	D₄×M₃₂	semidirect
346. C₄	M₃₂×D₅₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×M₃₂×D₅₉	2
C₂×C₈×D₂₃₆	2
#21425927	2
#21425920	2
#21425915	2
#21425706	2
C₄×#14273667	2
C₅₉×#2150	2
D₄×M₃₂	59