Subgroups — C₂×C₅₉×#2825 #28448772

Order 15104.

2930 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₉×#2825	C₂	1	16	yes	maximal, direct product factor
2	C₂×C₅₉×#401	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅₉×#397	C₂	1	3	yes	maximal, complemented
4	C₂×C₅₉×#396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅₉×#394	C₂	1	3	yes	maximal, complemented
6	C₂×C₅₉×#392	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₅₉×#392	C₂	1	3	yes	maximal, complemented
8	C₂×C₅₉×#386	C₂	1	3	yes	maximal, complemented
9	C₂³×D₄×C₅₉	C₂²	1	3	yes	—
10	C₂³×D₄×C₅₉	C₂²	1	3	yes	—
11	C₂⁴×C₄×C₅₉	C₂²	1	1	yes	characteristic
12	C₂²×C₄⋊C₄×C₅₉	C₂²	1	3	yes	—
13	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	3	yes	—
14	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	3	yes	—
15	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	3	yes	—
16	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	3	yes	—
17	C₂²×C₂²⋊C₄×C₅₉	C₂²	1	3	yes	—
18	C₅₉×#401	C₂²	1	8	yes	complemented
19	C₅₉×#397	C₂²	1	24	yes	complemented
20	C₅₉×#396	C₂²	1	8	yes	complemented
21	C₅₉×#394	C₂²	1	24	yes	complemented
22	C₅₉×#392	C₂²	1	8	yes	complemented
23	C₅₉×#392	C₂²	1	24	yes	complemented
24	C₅₉×#386	C₂²	1	24	yes	complemented
25	C₂×#95×C₅₉	C₂²	1	3	yes	—
26	C₂×#95×C₅₉	C₂²	1	3	yes	—
27	C₂×#95×C₅₉	C₂²	1	1	yes	characteristic
28	C₂×#95×C₅₉	C₂²	1	3	yes	—
29	C₂⁵×C₅₉	C₂³	1	3	yes	—
30	C₂⁵×C₅₉	C₂³	1	1	yes	characteristic
31	C₂²×D₄×C₅₉	—	2	12	no	—
32	C₂²×D₄×C₅₉	—	4	6	no	—
33	C₂²×D₄×C₅₉	—	4	6	no	—
34	C₂²×D₄×C₅₉	—	4	6	no	—
35	C₂²×D₄×C₅₉	—	4	6	no	—
36	C₂²×D₄×C₅₉	—	4	6	no	—
37	C₂²×D₄×C₅₉	C₂³	1	12	yes	—
38	C₂²×D₄×C₅₉	C₂³	1	12	yes	—
39	C₂³×C₄×C₅₉	—	4	6	no	—
40	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
41	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
42	C₂³×C₄×C₅₉	C₂³	1	1	yes	characteristic
43	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
44	C₂³×C₄×C₅₉	C₂³	1	3	yes	—
45	C₂³×C₄×C₅₉	C₂³	1	4	yes	—
46	C₂×C₄⋊C₄×C₅₉	—	4	6	no	—
47	C₂×C₄⋊C₄×C₅₉	C₂³	1	12	yes	—
48	C₂×C₂²⋊C₄×C₅₉	—	4	6	no	—
49	C₂×C₂²⋊C₄×C₅₉	—	4	6	no	—
50	C₂×C₂²⋊C₄×C₅₉	—	4	6	no	—
51	C₂×C₂²⋊C₄×C₅₉	—	4	6	no	—
52	C₂×C₂²⋊C₄×C₅₉	—	4	6	no	—
53	C₂×C₂²⋊C₄×C₅₉	C₂³	1	12	yes	—
54	C₂×C₂²⋊C₄×C₅₉	C₂³	1	12	yes	—
55	C₂×C₂²⋊C₄×C₅₉	C₂³	1	12	yes	—
56	C₂×C₂²⋊C₄×C₅₉	C₂³	1	12	yes	—
57	C₂×C₂²⋊C₄×C₅₉	C₂³	1	12	yes	—
58	#95×C₅₉	C₂³	1	12	yes	—
59	#95×C₅₉	C₂³	1	12	yes	—
60	#95×C₅₉	C₂³	1	4	yes	—
61	#95×C₅₉	C₂³	1	12	yes	—
62	C₂⁴×C₅₉	—	2	6	no	—
63	C₂⁴×C₅₉	—	2	6	no	—
64	C₂⁴×C₅₉	—	2	6	no	—
65	C₂⁴×C₅₉	—	2	6	no	—
66	C₂⁴×C₅₉	—	2	6	no	—
67	C₂⁴×C₅₉	—	2	6	no	—
68	C₂⁴×C₅₉	—	2	6	no	—
69	C₂⁴×C₅₉	—	2	6	no	—
70	C₂⁴×C₅₉	—	2	6	no	—
71	C₂⁴×C₅₉	#41	1	4	yes	—
72	C₂⁴×C₅₉	C₂⁴	1	6	yes	—
73	C₂⁴×C₅₉	C₂⁴	1	2	yes	—
74	C₂⁴×C₅₉	C₂⁴	1	1	yes	characteristic
75	C₂×D₄×C₅₉	—	2	24	no	—
76	C₂×D₄×C₅₉	—	4	12	no	—
77	C₂×D₄×C₅₉	—	4	12	no	—
78	C₂×D₄×C₅₉	—	4	12	no	—
79	C₂×D₄×C₅₉	—	4	12	no	—
80	C₂×D₄×C₅₉	—	4	12	no	—
81	C₂×D₄×C₅₉	—	4	48	no	—
82	C₂×D₄×C₅₉	—	4	48	no	—
83	C₂²×C₄×C₅₉	—	2	6	no	—
84	C₂²×C₄×C₅₉	—	2	6	no	—
85	C₂²×C₄×C₅₉	—	2	6	no	—
86	C₂²×C₄×C₅₉	—	2	6	no	—
87	C₂²×C₄×C₅₉	—	2	6	no	—
88	C₂²×C₄×C₅₉	—	2	6	no	—
89	C₂²×C₄×C₅₉	—	2	6	no	—
90	C₂²×C₄×C₅₉	—	2	6	no	—
91	C₂²×C₄×C₅₉	—	2	6	no	—
92	C₂²×C₄×C₅₉	—	2	6	no	—
93	C₂²×C₄×C₅₉	—	2	6	no	—
94	C₂²×C₄×C₅₉	—	4	12	no	—
95	C₂²×C₄×C₅₉	—	4	16	no	—
96	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
97	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
98	C₂²×C₄×C₅₉	C₂⁴	1	2	yes	—
99	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
100	C₂²×C₄×C₅₉	C₂⁴	1	6	yes	—
101	C₄⋊C₄×C₅₉	—	4	12	no	—
102	C₂²⋊C₄×C₅₉	—	4	12	no	—
103	C₂²⋊C₄×C₅₉	—	4	12	no	—
104	C₂²⋊C₄×C₅₉	—	4	12	no	—
105	C₂²⋊C₄×C₅₉	—	4	12	no	—
106	C₂²⋊C₄×C₅₉	—	4	12	no	—
107	C₂³×C₅₉	—	2	24	no	—
108	C₂³×C₅₉	—	2	6	no	—
109	C₂³×C₅₉	—	2	6	no	—
110	C₂³×C₅₉	—	2	6	no	—
111	C₂³×C₅₉	—	2	6	no	—
112	C₂³×C₅₉	—	2	6	no	—
113	C₂³×C₅₉	—	2	6	no	—
114	C₂³×C₅₉	—	2	6	no	—
115	C₂³×C₅₉	—	2	6	no	—
116	C₂³×C₅₉	—	2	6	no	—
117	C₂³×C₅₉	—	4	4	no	—
118	C₂³×C₅₉	—	4	12	no	—
119	C₂³×C₅₉	—	4	12	no	—
120	C₂³×C₅₉	—	4	12	no	—
121	C₂³×C₅₉	—	4	12	no	—
122	C₂³×C₅₉	—	4	12	no	—
123	C₂³×C₅₉	—	4	12	no	—
124	C₂³×C₅₉	—	4	12	no	—
125	C₂³×C₅₉	—	4	12	no	—
126	C₂³×C₅₉	C₂×#41	1	4	yes	—
127	C₂³×C₅₉	C₂×#41	1	2	yes	—
128	C₂³×C₅₉	H(5,𝔽₂)	1	6	yes	—
129	C₂³×C₅₉	H(5,𝔽₂)	1	6	yes	—
130	C₂³×C₅₉	C₂⁵	1	1	yes	characteristic
131	D₄×C₅₉	—	4	48	no	—
132	D₄×C₅₉	—	4	48	no	—
133	C₂×C₄×C₅₉	—	2	6	no	—
134	C₂×C₄×C₅₉	—	2	6	no	—
135	C₂×C₄×C₅₉	—	2	6	no	—
136	C₂×C₄×C₅₉	—	2	6	no	—
137	C₂×C₄×C₅₉	—	2	6	no	—
138	C₂×C₄×C₅₉	—	2	6	no	—
139	C₂×C₄×C₅₉	—	2	6	no	—
140	C₂×C₄×C₅₉	—	2	6	no	—
141	C₂×C₄×C₅₉	—	2	6	no	—
142	C₂×C₄×C₅₉	—	2	6	no	—
143	C₂×C₄×C₅₉	—	2	6	no	—
144	C₂×C₄×C₅₉	—	4	16	no	—
145	C₂×C₄×C₅₉	—	4	12	no	—
146	C₂×C₄×C₅₉	—	4	12	no	—
147	C₂×C₄×C₅₉	—	4	4	no	—
148	C₂×C₄×C₅₉	—	4	4	no	—
149	C₂×C₄×C₅₉	—	4	12	no	—
150	C₂×#2825	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
151	C₂²×C₅₉	—	2	12	no	—
152	C₂²×C₅₉	—	4	16	no	—
153	C₂²×C₅₉	—	4	2	no	—
154	C₂²×C₅₉	—	4	6	no	—
155	C₂²×C₅₉	—	4	6	no	—
156	C₂²×C₅₉	—	4	6	no	—
157	C₂²×C₅₉	—	4	6	no	—
158	C₂²×C₅₉	—	4	6	no	—
159	C₂²×C₅₉	—	4	6	no	—
160	C₂²×C₅₉	—	4	6	no	—
161	C₂²×C₅₉	—	4	6	no	—
162	C₂²×C₅₉	—	8	24	no	—
163	C₂²×C₅₉	#538	1	12	yes	—
164	C₂²×C₅₉	#560	1	12	yes	—
165	C₂²×C₅₉	#560	1	4	yes	—
166	C₂²×C₅₉	C₂²×#41	1	1	yes	characteristic
167	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	3	yes	—
168	C₂²×C₅₉	C₂×H(5,𝔽₂)	1	3	yes	—
169	C₄×C₅₉	—	4	6	no	—
170	C₄×C₅₉	—	4	6	no	—
171	C₄×C₅₉	—	4	2	no	—
172	C₄×C₅₉	—	4	2	no	—
173	C₄×C₅₉	—	4	6	no	—
174	#2825	C₂×C₅₉	1	16	yes	direct product factor
175	C₂×#401	C₂×C₅₉	1	1	yes	characteristic, complemented
176	C₂×#397	C₂×C₅₉	1	3	yes	complemented
177	C₂×#396	C₂×C₅₉	1	1	yes	characteristic, complemented
178	C₂×#394	C₂×C₅₉	1	3	yes	complemented
179	C₂×#392	C₂×C₅₉	1	3	yes	complemented
180	C₂×#392	C₂×C₅₉	1	1	yes	characteristic, complemented
181	C₂×#386	C₂×C₅₉	1	3	yes	complemented
182	C₂×C₅₉	—	4	4	no	—
183	C₂×C₅₉	—	8	6	no	—
184	C₂×C₅₉	#2825	1	8	yes	direct product factor
185	C₂×C₅₉	C₂×#538	1	3	yes	—
186	C₂×C₅₉	C₂×#560	1	3	yes	—
187	C₂×C₅₉	C₂×#560	1	1	yes	characteristic
188	C₂³×D₄	C₂²×C₅₉	1	3	yes	—
189	C₂³×D₄	C₂²×C₅₉	1	3	yes	—
190	C₂⁴×C₄	C₂²×C₅₉	1	1	yes	characteristic
191	C₂²×C₄⋊C₄	C₂²×C₅₉	1	3	yes	—
192	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	3	yes	—
193	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	3	yes	—
194	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	3	yes	—
195	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	3	yes	—
196	C₂²×C₂²⋊C₄	C₂²×C₅₉	1	3	yes	—
197	#401	C₂²×C₅₉	1	8	yes	complemented
198	#397	C₂²×C₅₉	1	24	yes	complemented
199	#396	C₂²×C₅₉	1	8	yes	complemented
200	#394	C₂²×C₅₉	1	24	yes	complemented
201	#392	C₂²×C₅₉	1	8	yes	complemented
202	#392	C₂²×C₅₉	1	24	yes	complemented
203	#386	C₂²×C₅₉	1	24	yes	complemented
204	C₂×#95	C₂²×C₅₉	1	1	yes	characteristic
205	C₂×#95	C₂²×C₅₉	1	3	yes	—
206	C₂×#95	C₂²×C₅₉	1	3	yes	—
207	C₂×#95	C₂²×C₅₉	1	3	yes	—
208	C₅₉	C₂×#2825	1	1	yes	characteristic, direct product factor, Sylow
209	C₂⁵	C₂³×C₅₉	1	3	yes	—
210	C₂⁵	C₂³×C₅₉	1	1	yes	characteristic
211	C₂²×D₄	—	2	12	no	—
212	C₂²×D₄	—	4	6	no	—
213	C₂²×D₄	—	4	6	no	—
214	C₂²×D₄	—	4	6	no	—
215	C₂²×D₄	—	4	6	no	—
216	C₂²×D₄	—	4	6	no	—
217	C₂²×D₄	C₂³×C₅₉	1	12	yes	—
218	C₂²×D₄	C₂³×C₅₉	1	12	yes	—
219	C₂³×C₄	—	4	6	no	—
220	C₂³×C₄	C₂³×C₅₉	1	3	yes	—
221	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
222	C₂³×C₄	C₂³×C₅₉	1	1	yes	characteristic
223	C₂³×C₄	C₂³×C₅₉	1	3	yes	—
224	C₂³×C₄	C₂³×C₅₉	1	3	yes	—
225	C₂³×C₄	C₂³×C₅₉	1	4	yes	—
226	C₂×C₄⋊C₄	—	4	6	no	—
227	C₂×C₄⋊C₄	C₂³×C₅₉	1	12	yes	—
228	C₂×C₂²⋊C₄	—	4	6	no	—
229	C₂×C₂²⋊C₄	—	4	6	no	—
230	C₂×C₂²⋊C₄	—	4	6	no	—
231	C₂×C₂²⋊C₄	—	4	6	no	—
232	C₂×C₂²⋊C₄	—	4	6	no	—
233	C₂×C₂²⋊C₄	C₂³×C₅₉	1	12	yes	—
234	C₂×C₂²⋊C₄	C₂³×C₅₉	1	12	yes	—
235	C₂×C₂²⋊C₄	C₂³×C₅₉	1	12	yes	—
236	C₂×C₂²⋊C₄	C₂³×C₅₉	1	12	yes	—
237	C₂×C₂²⋊C₄	C₂³×C₅₉	1	12	yes	—
238	#95	C₂³×C₅₉	1	12	yes	—
239	#95	C₂³×C₅₉	1	12	yes	—
240	#95	C₂³×C₅₉	1	4	yes	—
241	#95	C₂³×C₅₉	1	12	yes	—
242	C₂⁴	—	2	6	no	—
243	C₂⁴	—	2	6	no	—
244	C₂⁴	—	2	6	no	—
245	C₂⁴	—	2	6	no	—
246	C₂⁴	—	2	6	no	—
247	C₂⁴	—	2	6	no	—
248	C₂⁴	—	2	6	no	—
249	C₂⁴	—	2	6	no	—
250	C₂⁴	—	2	6	no	—
251	C₂⁴	#41×C₅₉	1	4	yes	—
252	C₂⁴	C₂⁴×C₅₉	1	6	yes	—
253	C₂⁴	C₂⁴×C₅₉	1	2	yes	—
254	C₂⁴	C₂⁴×C₅₉	1	1	yes	characteristic
255	C₂×D₄	—	2	24	no	—
256	C₂×D₄	—	4	12	no	—
257	C₂×D₄	—	4	12	no	—
258	C₂×D₄	—	4	12	no	—
259	C₂×D₄	—	4	12	no	—
260	C₂×D₄	—	4	12	no	—
261	C₂×D₄	—	4	48	no	—
262	C₂×D₄	—	4	48	no	—
263	C₂²×C₄	—	2	6	no	—
264	C₂²×C₄	—	2	6	no	—
265	C₂²×C₄	—	2	6	no	—
266	C₂²×C₄	—	2	6	no	—
267	C₂²×C₄	—	2	6	no	—
268	C₂²×C₄	—	2	6	no	—
269	C₂²×C₄	—	2	6	no	—
270	C₂²×C₄	—	2	6	no	—
271	C₂²×C₄	—	2	6	no	—
272	C₂²×C₄	—	2	6	no	—
273	C₂²×C₄	—	2	6	no	—
274	C₂²×C₄	—	4	12	no	—
275	C₂²×C₄	—	4	16	no	—
276	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
277	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
278	C₂²×C₄	C₂⁴×C₅₉	1	2	yes	—
279	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
280	C₂²×C₄	C₂⁴×C₅₉	1	6	yes	—
281	C₄⋊C₄	—	4	12	no	—
282	C₂²⋊C₄	—	4	12	no	—
283	C₂²⋊C₄	—	4	12	no	—
284	C₂²⋊C₄	—	4	12	no	—
285	C₂²⋊C₄	—	4	12	no	—
286	C₂²⋊C₄	—	4	12	no	—
287	C₂³	—	2	24	no	—
288	C₂³	—	2	6	no	—
289	C₂³	—	2	6	no	—
290	C₂³	—	2	6	no	—
291	C₂³	—	2	6	no	—
292	C₂³	—	2	6	no	—
293	C₂³	—	2	6	no	—
294	C₂³	—	2	6	no	—
295	C₂³	—	2	6	no	—
296	C₂³	—	2	6	no	—
297	C₂³	—	4	4	no	—
298	C₂³	—	4	12	no	—
299	C₂³	—	4	12	no	—
300	C₂³	—	4	12	no	—
301	C₂³	—	4	12	no	—
302	C₂³	—	4	12	no	—
303	C₂³	—	4	12	no	—
304	C₂³	—	4	12	no	—
305	C₂³	—	4	12	no	—
306	C₂³	C₂×#41×C₅₉	1	4	yes	—
307	C₂³	C₂×#41×C₅₉	1	2	yes	—
308	C₂³	H(5,𝔽₂)×C₅₉	1	6	yes	—
309	C₂³	H(5,𝔽₂)×C₅₉	1	6	yes	—
310	C₂³	C₂⁵×C₅₉	1	1	yes	characteristic
311	D₄	—	4	48	no	—
312	D₄	—	4	48	no	—
313	C₂×C₄	—	2	6	no	—
314	C₂×C₄	—	2	6	no	—
315	C₂×C₄	—	2	6	no	—
316	C₂×C₄	—	2	6	no	—
317	C₂×C₄	—	2	6	no	—
318	C₂×C₄	—	2	6	no	—
319	C₂×C₄	—	2	6	no	—
320	C₂×C₄	—	2	6	no	—
321	C₂×C₄	—	2	6	no	—
322	C₂×C₄	—	2	6	no	—
323	C₂×C₄	—	2	6	no	—
324	C₂×C₄	—	4	16	no	—
325	C₂×C₄	—	4	12	no	—
326	C₂×C₄	—	4	12	no	—
327	C₂×C₄	—	4	4	no	—
328	C₂×C₄	—	4	4	no	—
329	C₂×C₄	—	4	12	no	—
330	C₂²	—	2	12	no	—
331	C₂²	—	4	2	no	—
332	C₂²	—	4	6	no	—
333	C₂²	—	4	16	no	—
334	C₂²	—	4	6	no	—
335	C₂²	—	4	6	no	—
336	C₂²	—	4	6	no	—
337	C₂²	—	4	6	no	—
338	C₂²	—	4	6	no	—
339	C₂²	—	4	6	no	—
340	C₂²	—	4	6	no	—
341	C₂²	—	8	24	no	—
342	C₂²	C₅₉×#538	1	12	yes	—
343	C₂²	C₅₉×#560	1	12	yes	—
344	C₂²	C₅₉×#560	1	4	yes	—
345	C₂²	C₂²×#41×C₅₉	1	1	yes	characteristic
346	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	3	yes	—
347	C₂²	C₂×H(5,𝔽₂)×C₅₉	1	3	yes	—
348	C₄	—	4	2	no	—
349	C₄	—	4	2	no	—
350	C₄	—	4	6	no	—
351	C₄	—	4	6	no	—
352	C₄	—	4	6	no	—
353	C₂	—	4	4	no	—
354	C₂	—	8	6	no	—
355	C₂	C₅₉×#2825	1	8	yes	direct product factor
356	C₂	C₂×C₅₉×#538	1	3	yes	—
357	C₂	C₂×C₅₉×#560	1	1	yes	characteristic
358	C₂	C₂×C₅₉×#560	1	3	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₅₉	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₅₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅₉×#2825	C₂	direct (N × H)
2. C₂×C₅₉×#401	C₂	semidirect
3. C₂×C₅₉×#397	C₂	semidirect
4. C₂×C₅₉×#396	C₂	semidirect
5. C₂×C₅₉×#394	C₂	semidirect
6. C₂×C₅₉×#392	C₂	semidirect
7. C₂×C₅₉×#392	C₂	semidirect
8. C₂×C₅₉×#386	C₂	semidirect
18. C₅₉×#401	C₂²	semidirect
19. C₅₉×#397	C₂²	semidirect
20. C₅₉×#396	C₂²	semidirect
21. C₅₉×#394	C₂²	semidirect
22. C₅₉×#392	C₂²	semidirect
23. C₅₉×#392	C₂²	semidirect
24. C₅₉×#386	C₂²	semidirect
150. C₂×#2825	C₅₉	direct (N × H)
174. #2825	C₂×C₅₉	direct (N × H)
175. C₂×#401	C₂×C₅₉	semidirect
176. C₂×#397	C₂×C₅₉	semidirect
177. C₂×#396	C₂×C₅₉	semidirect
178. C₂×#394	C₂×C₅₉	semidirect
179. C₂×#392	C₂×C₅₉	semidirect
180. C₂×#392	C₂×C₅₉	semidirect
181. C₂×#386	C₂×C₅₉	semidirect
184. C₂×C₅₉	#2825	direct (N × H)
197. #401	C₂²×C₅₉	semidirect
198. #397	C₂²×C₅₉	semidirect
199. #396	C₂²×C₅₉	semidirect
200. #394	C₂²×C₅₉	semidirect
201. #392	C₂²×C₅₉	semidirect
202. #392	C₂²×C₅₉	semidirect
203. #386	C₂²×C₅₉	semidirect
208. C₅₉	C₂×#2825	direct (N × H)
355. C₂	C₅₉×#2825	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅₉×#2825	2
C₂×C₅₉×#401	2
C₂×C₅₉×#397	2
C₂×C₅₉×#396	2
C₂×C₅₉×#394	2
C₂×C₅₉×#392	2
C₂×C₅₉×#386	2
C₂×#2825	59

Subgroups — C2×C59×#2825 #28448772

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅₉×#2825 #28448772