Subgroups — C₂²×C₄×Q₈×D₅₉ #29495256

Order 15104.

12446 conjugacy classes of subgroups.

The subgroup lattice has 288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×Q₈×D₅₉	C₂	1	1	yes	maximal, characteristic
2	C₂²×Q₈×Dic₅₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×Dic₁₁₈	C₂	1	3	yes	maximal, complemented
4	C₂²×#14273692	C₂	1	3	yes	maximal, complemented
5	C₂×C₄×Q₈×D₅₉	C₂	1	48	yes	maximal, direct product factor
6	C₂²×C₄⋊C₄×D₅₉	C₂	1	3	yes	maximal
7	C₂²×C₄²×D₅₉	C₂	1	3	yes	maximal
8	C₂²×C₄×Q₈×C₅₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×Dic₁₁₈	C₂²	1	3	yes	—
10	C₂²×Q₈×D₅₉	C₄	1	32	yes	direct product factor
11	C₂²×Q₈×D₅₉	C₂²	1	24	yes	—
12	C₂³×C₄×D₅₉	C₂²	1	3	yes	—
13	C₂³×C₄×D₅₉	C₂²	1	3	yes	—
14	C₂³×C₄×D₅₉	C₂²	1	1	yes	characteristic
15	C₂×Q₈×Dic₅₉	C₂²	1	24	yes	complemented
16	C₂×C₄×Dic₁₁₈	C₂²	1	72	yes	complemented
17	C₂×#14273692	C₂²	1	72	yes	complemented
18	C₄×Q₈×D₅₉	C₂²	1	256	yes	direct product factor
19	C₂²×C₄⋊Dic₅₉	C₂²	1	3	yes	—
20	C₂²×Dic₅₉⋊C₄	C₂²	1	6	yes	—
21	C₂×C₄⋊C₄×D₅₉	C₂²	1	72	yes	—
22	C₂²×C₄×Dic₅₉	C₂²	1	3	yes	—
23	C₂²×C₄×Dic₅₉	C₂²	1	3	yes	—
24	C₂²×C₄×Dic₅₉	C₂²	1	3	yes	—
25	C₂×C₄²×D₅₉	C₂²	1	72	yes	—
26	C₂³×Q₈×C₅₉	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈×C₅₉	C₂²	1	24	yes	complemented
28	C₂²×C₄⋊C₄×C₅₉	C₂²	1	3	yes	—
29	C₂²×C₄²×C₅₉	C₂²	1	3	yes	—
30	C₂⁴×D₅₉	C₂³	1	1	yes	characteristic
31	C₂²×Dic₁₁₈	C₂×C₄	1	48	yes	complemented
32	C₂²×Dic₁₁₈	C₂³	1	36	yes	—
33	C₂×Q₈×D₅₉	C₂×C₄	1	384	yes	direct product factor
34	C₂×Q₈×D₅₉	C₂³	1	64	yes	—
35	C₂³×Dic₅₉	C₂³	1	3	yes	—
36	C₂³×Dic₅₉	C₂³	1	3	yes	—
37	C₂³×Dic₅₉	C₂³	1	1	yes	characteristic
38	C₂²×C₄×D₅₉	—	2	24	no	—
39	C₂²×C₄×D₅₉	C₂×C₄	1	48	yes	—
40	C₂²×C₄×D₅₉	Q₈	1	16	yes	direct product factor
41	C₂²×C₄×D₅₉	C₂³	1	36	yes	—
42	C₂²×C₄×D₅₉	C₂³	1	36	yes	—
43	C₂²×C₄×D₅₉	C₂³	1	12	yes	—
44	Q₈×Dic₅₉	C₂³	1	64	yes	complemented
45	C₄×Dic₁₁₈	C₂³	1	192	yes	complemented
46	#14273692	C₂³	1	192	yes	complemented
47	C₂×C₄⋊Dic₅₉	C₂³	1	36	yes	—
48	C₂×Dic₅₉⋊C₄	C₂³	1	72	yes	—
49	C₄⋊C₄×D₅₉	C₂³	1	192	yes	—
50	C₂×C₄×Dic₅₉	C₂³	1	36	yes	—
51	C₂×C₄×Dic₅₉	C₂³	1	36	yes	—
52	C₂×C₄×Dic₅₉	C₂³	1	36	yes	—
53	C₄²×D₅₉	C₂³	1	192	yes	—
54	C₂²×Q₈×C₅₉	C₂×C₄	1	16	yes	complemented
55	C₂²×Q₈×C₅₉	C₂³	1	12	yes	—
56	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
57	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
58	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
59	C₄×Q₈×C₅₉	C₂³	1	64	yes	complemented
60	C₂×C₄⋊C₄×C₅₉	C₂³	1	36	yes	—
61	C₂×C₄²×C₅₉	C₂³	1	36	yes	—
62	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
63	C₂³×D₅₉	C₂²×C₄	1	8	yes	—
64	C₂³×D₅₉	C₂×Q₈	1	8	yes	—
65	C₂³×D₅₉	#41	1	8	yes	—
66	C₂³×D₅₉	C₂⁴	1	6	yes	—
67	C₂×Q₈×C₅₉	C₂²×C₄	1	96	yes	complemented
68	C₂×Q₈×C₅₉	C₂⁴	1	16	yes	—
69	C₂²×C₄×C₅₉	—	2	12	no	—
70	C₂²×C₄×C₅₉	C₂²×C₄	1	24	yes	—
71	C₂²×C₄×C₅₉	C₂×Q₈	1	8	yes	complemented
72	C₂²×C₄×C₅₉	C₂⁴	1	18	yes	—
73	C₂²×C₄×C₅₉	C₂⁴	1	18	yes	—
74	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
75	C₂²×Dic₅₉	—	2	12	no	—
76	C₂²×Dic₅₉	C₂²×C₄	1	24	yes	—
77	C₂²×Dic₅₉	C₂×Q₈	1	8	yes	complemented
78	C₂²×Dic₅₉	C₂⁴	1	18	yes	—
79	C₂²×Dic₅₉	C₂⁴	1	18	yes	—
80	C₂²×Dic₅₉	C₂⁴	1	6	yes	—
81	Q₈×D₅₉	C₂²×C₄	1	512	yes	direct product factor
82	C₂×C₄×D₅₉	—	2	144	no	—
83	C₂×C₄×D₅₉	C₂²×C₄	1	288	yes	—
84	C₂×C₄×D₅₉	C₂×Q₈	1	96	yes	direct product factor
85	C₂×C₄×D₅₉	C₂⁴	1	48	yes	—
86	C₂×C₄×D₅₉	C₂⁴	1	48	yes	—
87	C₂×C₄×D₅₉	C₂⁴	1	16	yes	—
88	C₂×Dic₁₁₈	C₂²×C₄	1	288	yes	complemented
89	C₂×Dic₁₁₈	C₂⁴	1	48	yes	—
90	C₄⋊C₄×C₅₉	C₂⁴	1	48	yes	—
91	C₄²×C₅₉	C₂⁴	1	48	yes	—
92	C₄⋊Dic₅₉	C₂⁴	1	48	yes	—
93	Dic₅₉⋊C₄	C₂⁴	1	96	yes	—
94	C₄×Dic₅₉	C₂⁴	1	48	yes	—
95	C₄×Dic₅₉	C₂⁴	1	48	yes	—
96	C₄×Dic₅₉	C₂⁴	1	48	yes	—
97	C₂³×C₅₉	C₂³×C₄	1	4	yes	—
98	C₂³×C₅₉	C₂²×Q₈	1	4	yes	—
99	C₂³×C₅₉	C₂×#41	1	4	yes	—
100	C₂³×C₅₉	C₂⁵	1	3	yes	—
101	C₂²×D₅₉	C₄×Q₈	1	64	yes	direct product factor
102	C₂²×D₅₉	C₂³×C₄	1	24	yes	—
103	C₂²×D₅₉	C₂²×Q₈	1	24	yes	—
104	C₂²×D₅₉	C₂×#41	1	24	yes	—
105	C₂²×D₅₉	C₂⁵	1	4	yes	—
106	Q₈×C₅₉	C₂³×C₄	1	64	yes	complemented
107	C₂×C₄×C₅₉	—	2	36	no	—
108	C₂×C₄×C₅₉	C₂³×C₄	1	72	yes	—
109	C₂×C₄×C₅₉	C₂²×Q₈	1	24	yes	complemented
110	C₂×C₄×C₅₉	C₂⁵	1	12	yes	—
111	C₂×C₄×C₅₉	C₂⁵	1	12	yes	—
112	C₂×C₄×C₅₉	C₂⁵	1	4	yes	—
113	C₂×Dic₅₉	—	2	36	no	—
114	C₂×Dic₅₉	C₂³×C₄	1	72	yes	—
115	C₂×Dic₅₉	C₂²×Q₈	1	24	yes	complemented
116	C₂×Dic₅₉	C₂⁵	1	12	yes	—
117	C₂×Dic₅₉	C₂⁵	1	12	yes	—
118	C₂×Dic₅₉	C₂⁵	1	4	yes	—
119	C₄×D₅₉	—	2	96	no	—
120	C₄×D₅₉	C₂³×C₄	1	192	yes	—
121	C₄×D₅₉	C₂²×Q₈	1	64	yes	direct product factor
122	Dic₁₁₈	C₂³×C₄	1	192	yes	complemented
123	C₂³×C₄×Q₈	—	59	1	no	maximal, Sylow
124	C₂²×C₅₉	C₂×C₄×Q₈	1	16	yes	complemented
125	C₂²×C₅₉	C₂⁴×C₄	1	6	yes	—
126	C₂²×C₅₉	C₂³×Q₈	1	6	yes	—
127	C₂²×C₅₉	C₂²×#41	1	6	yes	—
128	C₂²×C₅₉	C₂⁶	1	1	yes	characteristic
129	C₂×D₅₉	C₂×C₄×Q₈	1	96	yes	direct product factor
130	C₂×D₅₉	C₂⁴×C₄	1	8	yes	—
131	C₂×D₅₉	C₂³×Q₈	1	8	yes	—
132	C₂×D₅₉	C₂²×#41	1	8	yes	—
133	C₄×C₅₉	—	2	12	no	—
134	C₄×C₅₉	C₂⁴×C₄	1	24	yes	—
135	C₄×C₅₉	C₂³×Q₈	1	8	yes	complemented
136	Dic₅₉	—	2	12	no	—
137	Dic₅₉	C₂⁴×C₄	1	24	yes	—
138	Dic₅₉	C₂³×Q₈	1	8	yes	complemented
139	C₂⁴×Q₈	—	59	1	no	—
140	C₂²×C₄×Q₈	—	59	3	no	—
141	C₂²×C₄×Q₈	—	59	1	no	—
142	C₂²×C₄×Q₈	—	59	48	no	—
143	C₂²×C₄×Q₈	—	59	3	no	—
144	C₂²×C₄×Q₈	D₅₉	1	1	yes	characteristic, direct product factor
145	C₂³×C₄⋊C₄	—	59	3	no	—
146	C₂³×C₄²	—	59	3	no	—
147	C₂×C₅₉	C₂²×C₄×Q₈	1	12	yes	complemented
148	C₂×C₅₉	C₂⁵×C₄	1	1	yes	characteristic
149	C₂×C₅₉	C₂⁴×Q₈	1	1	yes	characteristic
150	C₂×C₅₉	C₂³×#41	1	1	yes	characteristic
151	D₅₉	C₂²×C₄×Q₈	1	16	yes	direct product factor
152	C₂³×Q₈	—	59	32	no	—
153	C₂³×Q₈	—	59	24	no	—
154	C₂³×Q₈	—	59	3	no	—
155	C₂³×Q₈	C₂×D₅₉	1	1	yes	characteristic
156	C₂⁴×C₄	—	59	3	no	—
157	C₂⁴×C₄	—	59	1	no	—
158	C₂⁴×C₄	—	59	3	no	—
159	C₂×C₄×Q₈	—	59	24	no	—
160	C₂×C₄×Q₈	—	59	256	no	—
161	C₂×C₄×Q₈	—	59	72	no	—
162	C₂×C₄×Q₈	—	59	72	no	—
163	C₂×C₄×Q₈	C₂×D₅₉	1	24	yes	direct product factor
164	C₂²×C₄⋊C₄	—	59	6	no	—
165	C₂²×C₄⋊C₄	—	59	3	no	—
166	C₂²×C₄⋊C₄	—	59	72	no	—
167	C₂²×C₄⋊C₄	C₂×D₅₉	1	3	yes	—
168	C₂²×C₄²	—	59	3	no	—
169	C₂²×C₄²	—	59	3	no	—
170	C₂²×C₄²	—	59	3	no	—
171	C₂²×C₄²	—	59	72	no	—
172	C₂²×C₄²	C₂×D₅₉	1	3	yes	—
173	C₅₉	C₂³×C₄×Q₈	1	1	yes	characteristic, complemented, Sylow
174	C₂⁵	—	59	1	no	—
175	C₂²×Q₈	—	59	384	no	—
176	C₂²×Q₈	—	59	64	no	—
177	C₂²×Q₈	—	59	48	no	—
178	C₂²×Q₈	—	59	36	no	—
179	C₂²×Q₈	C₄×D₅₉	1	16	yes	direct product factor
180	C₂²×Q₈	C₂²×D₅₉	1	12	yes	—
181	C₂³×C₄	—	59	3	no	—
182	C₂³×C₄	—	59	1	no	—
183	C₂³×C₄	—	59	48	no	—
184	C₂³×C₄	—	59	16	no	—
185	C₂³×C₄	—	59	36	no	—
186	C₂³×C₄	—	59	12	no	—
187	C₂³×C₄	—	59	3	no	—
188	C₂³×C₄	—	59	36	no	—
189	C₂³×C₄	—	118	24	no	—
190	C₂³×C₄	C₂²×D₅₉	1	3	yes	—
191	C₂³×C₄	C₂²×D₅₉	1	3	yes	—
192	C₂³×C₄	C₂²×D₅₉	1	1	yes	characteristic
193	C₄×Q₈	—	59	64	no	—
194	C₄×Q₈	—	59	192	no	—
195	C₄×Q₈	—	59	192	no	—
196	C₄×Q₈	C₂²×D₅₉	1	64	yes	direct product factor
197	C₂×C₄⋊C₄	—	59	72	no	—
198	C₂×C₄⋊C₄	—	59	36	no	—
199	C₂×C₄⋊C₄	—	59	192	no	—
200	C₂×C₄⋊C₄	C₂²×D₅₉	1	36	yes	—
201	C₂×C₄²	—	59	36	no	—
202	C₂×C₄²	—	59	36	no	—
203	C₂×C₄²	—	59	36	no	—
204	C₂×C₄²	—	59	192	no	—
205	C₂×C₄²	C₂²×D₅₉	1	36	yes	—
206	C₂⁴	—	59	8	no	—
207	C₂⁴	—	59	8	no	—
208	C₂⁴	—	59	8	no	—
209	C₂⁴	—	59	6	no	—
210	C₂⁴	C₂³×D₅₉	1	1	yes	characteristic
211	C₂×Q₈	—	59	512	no	—
212	C₂×Q₈	—	59	288	no	—
213	C₂×Q₈	—	59	48	no	—
214	C₂×Q₈	C₂×C₄×D₅₉	1	96	yes	direct product factor
215	C₂×Q₈	C₂³×D₅₉	1	16	yes	—
216	C₂²×C₄	—	2	12	no	—
217	C₂²×C₄	—	59	24	no	—
218	C₂²×C₄	—	59	8	no	—
219	C₂²×C₄	—	59	6	no	—
220	C₂²×C₄	—	59	18	no	—
221	C₂²×C₄	—	59	288	no	—
222	C₂²×C₄	—	59	96	no	—
223	C₂²×C₄	—	59	16	no	—
224	C₂²×C₄	—	59	48	no	—
225	C₂²×C₄	—	59	18	no	—
226	C₂²×C₄	—	59	48	no	—
227	C₂²×C₄	—	118	144	no	—
228	C₂²×C₄	—	118	12	no	—
229	C₂²×C₄	C₂×C₄×D₅₉	1	24	yes	—
230	C₂²×C₄	Q₈×D₅₉	1	8	yes	direct product factor
231	C₂²×C₄	C₂³×D₅₉	1	18	yes	—
232	C₂²×C₄	C₂³×D₅₉	1	18	yes	—
233	C₂²×C₄	C₂³×D₅₉	1	6	yes	—
234	C₄⋊C₄	—	59	96	no	—
235	C₄⋊C₄	—	59	48	no	—
236	C₄⋊C₄	C₂³×D₅₉	1	48	yes	—
237	C₄²	—	59	48	no	—
238	C₄²	—	59	48	no	—
239	C₄²	—	59	48	no	—
240	C₄²	C₂³×D₅₉	1	48	yes	—
241	C₂³	—	59	24	no	—
242	C₂³	—	59	24	no	—
243	C₂³	—	59	24	no	—
244	C₂³	—	59	4	no	—
245	C₂³	—	59	64	no	—
246	C₂³	C₂²×C₄×D₅₉	1	4	yes	—
247	C₂³	C₂×Q₈×D₅₉	1	4	yes	—
248	C₂³	#41×D₅₉	1	4	yes	—
249	C₂³	C₂⁴×D₅₉	1	3	yes	—
250	Q₈	—	59	192	no	—
251	Q₈	C₂²×C₄×D₅₉	1	64	yes	direct product factor
252	C₂×C₄	—	2	36	no	—
253	C₂×C₄	—	59	72	no	—
254	C₂×C₄	—	59	24	no	—
255	C₂×C₄	—	59	4	no	—
256	C₂×C₄	—	59	12	no	—
257	C₂×C₄	—	59	192	no	—
258	C₂×C₄	—	59	64	no	—
259	C₂×C₄	—	59	12	no	—
260	C₂×C₄	—	118	96	no	—
261	C₂×C₄	—	118	36	no	—
262	C₂×C₄	C₂²×C₄×D₅₉	1	72	yes	—
263	C₂×C₄	C₂×Q₈×D₅₉	1	24	yes	direct product factor
264	C₂×C₄	C₂⁴×D₅₉	1	12	yes	—
265	C₂×C₄	C₂⁴×D₅₉	1	12	yes	—
266	C₂×C₄	C₂⁴×D₅₉	1	4	yes	—
267	C₂²	—	59	96	no	—
268	C₂²	—	59	8	no	—
269	C₂²	—	59	8	no	—
270	C₂²	—	59	8	no	—
271	C₂²	C₄×Q₈×D₅₉	1	16	yes	direct product factor
272	C₂²	C₂³×C₄×D₅₉	1	6	yes	—
273	C₂²	C₂²×Q₈×D₅₉	1	6	yes	—
274	C₂²	C₂×#41×D₅₉	1	6	yes	—
275	C₂²	C₂⁵×D₅₉	1	1	yes	characteristic
276	C₄	—	2	12	no	—
277	C₄	—	59	24	no	—
278	C₄	—	59	8	no	—
279	C₄	—	118	12	no	—
280	C₄	C₂³×C₄×D₅₉	1	24	yes	—
281	C₄	C₂²×Q₈×D₅₉	1	8	yes	direct product factor
282	C₂	—	59	16	no	—
283	C₂	C₂×C₄×Q₈×D₅₉	1	12	yes	direct product factor
284	C₂	C₂⁴×C₄×D₅₉	1	1	yes	characteristic
285	C₂	C₂³×Q₈×D₅₉	1	1	yes	characteristic
286	C₂	C₂²×#41×D₅₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₄	C₂²×D₅₉
commutator	C₂×C₅₉	C₂⁵×C₄
Frattini	C₂²	C₂⁵×D₅₉
Fitting	C₂²×C₄×Q₈×C₅₉	C₂
socle	C₂⁴×C₅₉	C₂⁴
prime radical	C₂⁴×D₅₉	C₂³
cosocle	C₂²×C₅₉	C₂⁶
hypercenter	C₂²×C₄×Q₈	D₅₉
hypocenter	C₅₉	C₂³×C₄×Q₈
LCS	G ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂³×C₄ ◁ C₂²×C₄×Q₈

Complements

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

N	H ≅ G/N	type
2. C₂²×Q₈×Dic₅₉	C₂	semidirect
3. C₂²×C₄×Dic₁₁₈	C₂	semidirect
4. C₂²×#14273692	C₂	semidirect
5. C₂×C₄×Q₈×D₅₉	C₂	direct (N × H)
8. C₂²×C₄×Q₈×C₅₉	C₂	semidirect
10. C₂²×Q₈×D₅₉	C₄	direct (N × H)
15. C₂×Q₈×Dic₅₉	C₂²	semidirect
16. C₂×C₄×Dic₁₁₈	C₂²	semidirect
17. C₂×#14273692	C₂²	semidirect
18. C₄×Q₈×D₅₉	C₂²	direct (N × H)
27. C₂×C₄×Q₈×C₅₉	C₂²	semidirect
31. C₂²×Dic₁₁₈	C₂×C₄	semidirect
33. C₂×Q₈×D₅₉	C₂×C₄	direct (N × H)
40. C₂²×C₄×D₅₉	Q₈	direct (N × H)
44. Q₈×Dic₅₉	C₂³	semidirect
45. C₄×Dic₁₁₈	C₂³	semidirect
46. #14273692	C₂³	semidirect
54. C₂²×Q₈×C₅₉	C₂×C₄	semidirect
59. C₄×Q₈×C₅₉	C₂³	semidirect
67. C₂×Q₈×C₅₉	C₂²×C₄	semidirect
71. C₂²×C₄×C₅₉	C₂×Q₈	semidirect
77. C₂²×Dic₅₉	C₂×Q₈	semidirect
81. Q₈×D₅₉	C₂²×C₄	direct (N × H)
84. C₂×C₄×D₅₉	C₂×Q₈	direct (N × H)
88. C₂×Dic₁₁₈	C₂²×C₄	semidirect
101. C₂²×D₅₉	C₄×Q₈	direct (N × H)
106. Q₈×C₅₉	C₂³×C₄	semidirect
109. C₂×C₄×C₅₉	C₂²×Q₈	semidirect
115. C₂×Dic₅₉	C₂²×Q₈	semidirect
121. C₄×D₅₉	C₂²×Q₈	direct (N × H)
122. Dic₁₁₈	C₂³×C₄	semidirect
124. C₂²×C₅₉	C₂×C₄×Q₈	semidirect
129. C₂×D₅₉	C₂×C₄×Q₈	direct (N × H)
135. C₄×C₅₉	C₂³×Q₈	semidirect
138. Dic₅₉	C₂³×Q₈	semidirect
144. C₂²×C₄×Q₈	D₅₉	direct (N × H)
147. C₂×C₅₉	C₂²×C₄×Q₈	semidirect
151. D₅₉	C₂²×C₄×Q₈	direct (N × H)
163. C₂×C₄×Q₈	C₂×D₅₉	direct (N × H)
173. C₅₉	C₂³×C₄×Q₈	semidirect
179. C₂²×Q₈	C₄×D₅₉	direct (N × H)
196. C₄×Q₈	C₂²×D₅₉	direct (N × H)
214. C₂×Q₈	C₂×C₄×D₅₉	direct (N × H)
230. C₂²×C₄	Q₈×D₅₉	direct (N × H)
251. Q₈	C₂²×C₄×D₅₉	direct (N × H)
263. C₂×C₄	C₂×Q₈×D₅₉	direct (N × H)
271. C₂²	C₄×Q₈×D₅₉	direct (N × H)
281. C₄	C₂²×Q₈×D₅₉	direct (N × H)
283. C₂	C₂×C₄×Q₈×D₅₉	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×Q₈×D₅₉	2
C₂²×Q₈×Dic₅₉	2
C₂²×C₄×Dic₁₁₈	2
C₂²×#14273692	2
C₂×C₄×Q₈×D₅₉	2
C₂²×C₄⋊C₄×D₅₉	2
C₂²×C₄²×D₅₉	2
C₂²×C₄×Q₈×C₅₉	2
C₂³×C₄×Q₈	59

Subgroups — C22×C4×Q8×D59 #29495256

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₄×Q₈×D₅₉ #29495256