Group #28482566 — subgroups

Subgroups — #28482566

Order 15104.

386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.

normal subgroups only

This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21425033	C₂	1	1	yes	maximal, characteristic
2	C₄×#14273646	C₂	1	1	yes	maximal, characteristic
3	#21422849	C₂	1	2	yes	maximal
4	#21421932	C₂	1	2	yes	maximal
5	C₅₉×#2983	C₂	1	1	yes	maximal, characteristic
6	C₂×C₄⋊(C₅₉⋊C₈)	C₂²	1	1	yes	characteristic
7	C₂×#14273646	C₄	1	2	yes	—
8	C₄×#11745664	C₂²	1	2	yes	—
9	C₂×C₄×C₅₉⋊C₈	C₂²	1	1	yes	characteristic
10	#16837171	C₄	1	1	yes	characteristic
11	#16837171	C₄	1	1	yes	characteristic
12	#16837157	—	2	2	no	—
13	#16837154	—	2	2	no	—
14	#16837152	—	2	2	no	—
15	C₂×C₄×Q₈×C₅₉	C₂²	1	1	yes	characteristic
16	C₅₉×#446	—	2	2	no	—
17	C₅₉×#446	—	2	2	no	—
18	C₅₉×#432	—	2	2	no	—
19	C₅₉×#431	C₂²	1	2	yes	—
20	C₂×#11745664	C₂×C₄	1	2	yes	—
21	C₂×#11745664	C₂×C₄	1	2	yes	—
22	C₂²×C₅₉⋊C₈	—	2	1	no	—
23	C₂²×C₅₉⋊C₈	—	2	1	no	—
24	C₄⋊(C₅₉⋊C₈)	—	2	2	no	—
25	#14273646	—	2	4	no	—
26	#14273638	—	2	2	no	—
27	C₄×C₅₉⋊C₈	—	2	2	no	—
28	C₄×C₅₉⋊C₈	—	2	2	no	—
29	C₂²×Q₈×C₅₉	C₂×C₄	1	1	yes	characteristic
30	C₄×Q₈×C₅₉	—	2	2	no	—
31	C₄×Q₈×C₅₉	—	2	2	no	—
32	C₂×C₄⋊C₄×C₅₉	C₂×C₄	1	1	yes	characteristic
33	C₂×C₄⋊C₄×C₅₉	Q₈	1	2	yes	—
34	C₂×C₄²×C₅₉	D₄	1	2	yes	—
35	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
36	C₄⋊C₈×C₅₉	—	2	2	no	—
37	C₄⋊C₈×C₅₉	—	2	2	no	—
38	C₄⋊C₈×C₅₉	D₄	1	2	yes	—
39	C₄⋊C₈×C₅₉	D₄	1	2	yes	—
40	C₂²⋊C₈×C₅₉	—	2	2	no	—
41	#97×C₅₉	—	2	4	no	—
42	C₄×C₈×C₅₉	—	2	2	no	—
43	C₂×Q₈×C₅₉	—	2	2	no	—
44	C₂×Q₈×C₅₉	—	2	2	no	—
45	C₂×Q₈×C₅₉	—	2	1	no	—
46	C₂×Q₈×C₅₉	—	2	1	no	—
47	C₂²×C₄×C₅₉	C₄⋊C₄	1	2	yes	—
48	C₂²×C₄×C₅₉	C₄⋊C₄	1	2	yes	—
49	C₂²×C₄×C₅₉	C₂²×C₄	1	1	yes	characteristic
50	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
51	C₂²×C₄×C₅₉	C₂×Q₈	1	1	yes	characteristic
52	C₂×C₈×C₅₉	—	2	2	no	—
53	C₂×C₈×C₅₉	—	2	2	no	—
54	C₄⋊C₄×C₅₉	—	2	2	no	—
55	C₄⋊C₄×C₅₉	—	2	4	no	—
56	C₄²×C₅₉	—	2	2	no	—
57	C₄²×C₅₉	—	2	2	no	—
58	C₄²×C₅₉	C₂×D₄	1	2	yes	—
59	C₄²×C₅₉	#41	1	2	yes	—
60	#11745664	—	2	2	no	—
61	#11745664	—	2	2	no	—
62	#11745664	—	2	2	no	—
63	#11745664	M₁₆	1	4	yes	—
64	C₂×C₅₉⋊C₈	—	2	2	no	—
65	C₂×C₅₉⋊C₈	—	2	2	no	—
66	C₂×C₅₉⋊C₈	—	2	2	no	—
67	C₂×C₅₉⋊C₈	—	4	1	no	—
68	C₂×C₅₉⋊C₈	—	4	1	no	—
69	C₂×C₅₉⋊C₈	—	4	2	no	—
70	C₂×C₅₉⋊C₈	—	4	1	no	—
71	C₂³×C₅₉	C₂×C₄⋊C₄	1	1	yes	characteristic
72	Q₈×C₅₉	—	4	2	no	—
73	Q₈×C₅₉	—	4	2	no	—
74	C₂×C₄×C₅₉	—	2	1	no	—
75	C₂×C₄×C₅₉	—	2	1	no	—
76	C₂×C₄×C₅₉	—	2	2	no	—
77	C₂×C₄×C₅₉	—	2	2	no	—
78	C₂×C₄×C₅₉	—	2	2	no	—
79	C₂×C₄×C₅₉	—	2	2	no	—
80	C₂×C₄×C₅₉	—	4	1	no	—
81	C₂×C₄×C₅₉	—	4	2	no	—
82	C₂×C₄×C₅₉	C₄×D₄	1	2	yes	—
83	C₂×C₄×C₅₉	#120	1	1	yes	characteristic
84	C₂×C₄×C₅₉	C₂²⋊Q₈	1	2	yes	—
85	C₂×C₄×C₅₉	#123	1	1	yes	characteristic
86	C₂×C₄×C₅₉	C₂×M₁₆	1	2	yes	—
87	C₂×C₄×C₅₉	#131	1	1	yes	characteristic
88	C₂×C₄×C₅₉	#131	1	1	yes	characteristic
89	C₈×C₅₉	—	4	2	no	—
90	C₈×C₅₉	—	4	2	no	—
91	C₅₉⋊C₈	—	2	4	no	—
92	C₅₉⋊C₈	—	4	2	no	—
93	C₅₉⋊C₈	—	4	2	no	—
94	C₅₉⋊C₈	—	8	1	no	—
95	#8838	—	59	1	no	maximal, Sylow
96	C₂²×C₅₉	—	2	1	no	—
97	C₂²×C₅₉	—	2	1	no	—
98	C₂²×C₅₉	#385	1	1	yes	characteristic
99	C₂²×C₅₉	#423	1	1	yes	characteristic
100	C₂²×C₅₉	#424	1	1	yes	characteristic
101	C₄×C₅₉	—	2	1	no	—
102	C₄×C₅₉	—	2	2	no	—
103	C₄×C₅₉	—	4	2	no	—
104	C₄×C₅₉	—	4	2	no	—
105	C₄×C₅₉	#435	1	2	yes	—
106	C₄×C₅₉	#436	1	2	yes	—
107	C₄×C₅₉	#454	1	1	yes	characteristic
108	C₄×C₅₉	#456	1	1	yes	characteristic
109	#2983	D₅₉	1	1	yes	characteristic
110	#1984	—	59	1	no	—
111	C₄×#101	—	59	1	no	—
112	#1565	—	59	2	no	—
113	#1278	—	59	2	no	—
114	C₂×C₅₉	—	2	1	no	—
115	C₂×C₅₉	—	2	1	no	—
116	C₂×C₅₉	#1851	1	1	yes	characteristic
117	C₂×C₅₉	#1857	1	1	yes	characteristic
118	C₂×C₅₉	#1858	1	1	yes	characteristic
119	C₂×C₄×Q₈	C₂×D₅₉	1	1	yes	characteristic
120	#446	—	2	2	no	—
121	#446	—	2	2	no	—
122	#432	—	2	2	no	—
123	#431	C₂×D₅₉	1	2	yes	—
124	C₂×C₄⋊C₈	—	59	1	no	—
125	C₂×#101	—	59	2	no	—
126	C₄×M₁₆	—	59	2	no	—
127	C₂×C₄×C₈	—	59	1	no	—
128	#343	—	59	1	no	—
129	#343	—	59	1	no	—
130	#336	—	118	2	no	—
131	#335	—	118	2	no	—
132	#334	—	118	2	no	—
133	C₅₉	#8838	1	1	yes	characteristic, complemented, Sylow
134	C₂²×Q₈	C₄×D₅₉	1	1	yes	characteristic
135	C₂×M₁₆	—	59	2	no	—
136	C₂×M₁₆	—	59	2	no	—
137	C₂²×C₈	—	118	1	no	—
138	C₂²×C₈	—	118	1	no	—
139	C₄×Q₈	—	2	2	no	—
140	C₄×Q₈	—	2	2	no	—
141	C₂×C₄⋊C₄	Dic₁₁₈	1	2	yes	—
142	C₂×C₄⋊C₄	C₄×D₅₉	1	1	yes	characteristic
143	C₂×C₄²	C₂²⋊D₅₉	1	2	yes	—
144	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
145	C₄⋊C₈	—	2	2	no	—
146	C₄⋊C₈	—	2	2	no	—
147	C₄⋊C₈	—	118	2	no	—
148	C₄⋊C₈	C₂²⋊D₅₉	1	2	yes	—
149	C₄⋊C₈	C₂²⋊D₅₉	1	2	yes	—
150	#101	—	118	4	no	—
151	C₂²⋊C₈	—	2	2	no	—
152	#97	—	2	4	no	—
153	#97	—	118	2	no	—
154	C₄×C₈	—	2	2	no	—
155	C₄×C₈	—	118	2	no	—
156	C₄×C₈	—	118	2	no	—
157	C₂×Q₈	—	2	2	no	—
158	C₂×Q₈	—	2	2	no	—
159	C₂×Q₈	—	2	1	no	—
160	C₂×Q₈	—	2	1	no	—
161	C₂²×C₄	Dic₅₉⋊C₄	1	2	yes	—
162	C₂²×C₄	Dic₅₉⋊C₄	1	2	yes	—
163	C₂²×C₄	C₂×Dic₁₁₈	1	1	yes	characteristic
164	C₂²×C₄	C₂×C₄×D₅₉	1	1	yes	characteristic
165	C₂²×C₄	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
166	M₁₆	—	59	4	no	—
167	M₁₆	—	118	2	no	—
168	M₁₆	—	118	2	no	—
169	M₁₆	—	118	2	no	—
170	C₂×C₈	—	2	2	no	—
171	C₂×C₈	—	2	2	no	—
172	C₂×C₈	—	118	2	no	—
173	C₂×C₈	—	118	2	no	—
174	C₂×C₈	—	118	2	no	—
175	C₂×C₈	—	236	2	no	—
176	C₂×C₈	—	236	1	no	—
177	C₂×C₈	—	236	1	no	—
178	C₂×C₈	—	236	1	no	—
179	C₄⋊C₄	—	2	2	no	—
180	C₄⋊C₄	—	2	4	no	—
181	C₄²	—	2	2	no	—
182	C₄²	—	2	2	no	—
183	C₄²	#11745685	1	2	yes	—
184	C₄²	C₂×C₂²⋊D₅₉	1	2	yes	—
185	C₂³	C₂×Dic₅₉⋊C₄	1	1	yes	characteristic
186	Q₈	—	4	2	no	—
187	Q₈	—	4	2	no	—
188	C₂×C₄	—	2	1	no	—
189	C₂×C₄	—	2	1	no	—
190	C₂×C₄	—	2	2	no	—
191	C₂×C₄	—	2	2	no	—
192	C₂×C₄	—	2	2	no	—
193	C₂×C₄	—	2	2	no	—
194	C₂×C₄	—	4	1	no	—
195	C₂×C₄	—	4	2	no	—
196	C₂×C₄	C₄×C₂²⋊D₅₉	1	2	yes	—
197	C₂×C₄	#14273696	1	1	yes	characteristic
198	C₂×C₄	#14273706	1	2	yes	—
199	C₂×C₄	#14273710	1	1	yes	characteristic
200	C₂×C₄	M₁₆×D₅₉	1	2	yes	—
201	C₂×C₄	#14273735	1	1	yes	characteristic
202	C₂×C₄	#14273735	1	1	yes	characteristic
203	C₈	—	4	2	no	—
204	C₈	—	4	2	no	—
205	C₈	—	118	4	no	—
206	C₈	—	472	1	no	—
207	C₈	—	236	2	no	—
208	C₈	—	236	2	no	—
209	C₂²	—	2	1	no	—
210	C₂²	—	2	1	no	—
211	C₂²	#16837275	1	1	yes	characteristic
212	C₂²	#16837425	1	1	yes	characteristic
213	C₂²	#16837430	1	1	yes	characteristic
214	C₄	—	2	1	no	—
215	C₄	—	2	2	no	—
216	C₄	—	4	2	no	—
217	C₄	—	4	2	no	—
218	C₄	#16837471	1	2	yes	—
219	C₄	#16837478	1	2	yes	—
220	C₄	#16837575	1	1	yes	characteristic
221	C₄	#16837585	1	1	yes	characteristic
222	C₂	—	2	1	no	—
223	C₂	—	2	1	no	—
224	C₂	#21424279	1	1	yes	characteristic
225	C₂	#21424311	1	1	yes	characteristic
226	C₂	#21424316	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#21425033

C₂

yes

maximal, characteristic

C₄×#14273646

C₂

yes

maximal, characteristic

#21422849

C₂

yes

maximal

#21421932

C₂

yes

maximal

C₅₉×#2983

C₂

yes

maximal, characteristic

C₂×C₄⋊(C₅₉⋊C₈)

C₂²

yes

characteristic

C₂×#14273646

C₄

yes

—

C₄×#11745664

C₂²

yes

—

C₂×C₄×C₅₉⋊C₈

C₂²

yes

characteristic

#16837171

C₄

yes

characteristic

#16837171

C₄

yes

—

—

—

C₂×C₄×Q₈×C₅₉

C₂²

yes

characteristic

C₅₉×#446

—

C₅₉×#446

—

C₅₉×#432

—

C₅₉×#431

C₂²

yes

—

C₂×#11745664

C₂×C₄

yes

—

C₂×#11745664

C₂×C₄

yes

—

C₂²×C₅₉⋊C₈

—

C₂²×C₅₉⋊C₈

—

C₄⋊(C₅₉⋊C₈)

—

#14273646

—

#14273638

—

C₄×C₅₉⋊C₈

—

C₄×C₅₉⋊C₈

—

C₂²×Q₈×C₅₉

C₂×C₄

yes

characteristic

C₄×Q₈×C₅₉

—

C₄×Q₈×C₅₉

—

C₂×C₄⋊C₄×C₅₉

C₂×C₄

yes

characteristic

C₂×C₄⋊C₄×C₅₉

Q₈

yes

—

C₂×C₄²×C₅₉

D₄

yes

—

C₂×C₄²×C₅₉

C₂³

yes

characteristic

C₄⋊C₈×C₅₉

—

C₄⋊C₈×C₅₉

—

C₄⋊C₈×C₅₉

D₄

yes

—

C₄⋊C₈×C₅₉

D₄

yes

—

C₂²⋊C₈×C₅₉

—

#97×C₅₉

—

C₄×C₈×C₅₉

—

C₂×Q₈×C₅₉

—

C₂×Q₈×C₅₉

—

C₂×Q₈×C₅₉

—

C₂×Q₈×C₅₉

—

C₂²×C₄×C₅₉

C₄⋊C₄

yes

—

C₂²×C₄×C₅₉

C₄⋊C₄

yes

—

C₂²×C₄×C₅₉

C₂²×C₄

yes

characteristic

C₂²×C₄×C₅₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₅₉

C₂×Q₈

yes

characteristic

C₂×C₈×C₅₉

—

C₂×C₈×C₅₉

—

C₄⋊C₄×C₅₉

—

C₄⋊C₄×C₅₉

—

C₄²×C₅₉

—

C₄²×C₅₉

—

C₄²×C₅₉

C₂×D₄

yes

—

C₄²×C₅₉

#41

yes

—

—

—

—

M₁₆

yes

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂³×C₅₉

C₂×C₄⋊C₄

yes

characteristic

Q₈×C₅₉

—

Q₈×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

C₄×D₄

yes

—

C₂×C₄×C₅₉

#120

yes

characteristic

C₂×C₄×C₅₉

C₂²⋊Q₈

yes

—

C₂×C₄×C₅₉

#123

yes

characteristic

C₂×C₄×C₅₉

C₂×M₁₆

yes

—

C₂×C₄×C₅₉

yes

C₂×C₄×C₅₉

yes

C₈×C₅₉

—

C₈×C₅₉

—

C₅₉⋊C₈

—

C₅₉⋊C₈

—

C₅₉⋊C₈

—

C₅₉⋊C₈

—

#8838

—

maximal, Sylow

C₂²×C₅₉

—

C₂²×C₅₉

—

C₂²×C₅₉

yes

C₂²×C₅₉

yes

100

C₂²×C₅₉

#424

yes

characteristic

101

C₄×C₅₉

—

102

C₄×C₅₉

—

103

C₄×C₅₉

—

104

C₄×C₅₉

—

105

C₄×C₅₉

#435

yes

—

106

C₄×C₅₉

#436

yes

—

107

C₄×C₅₉

#454

yes

characteristic

108

C₄×C₅₉

#456

yes

characteristic

109

#2983

D₅₉

yes

characteristic

110

#1984

—

111

C₄×#101

—

112

#1565

—

113

#1278

—

114

C₂×C₅₉

—

115

C₂×C₅₉

—

116

C₂×C₅₉

#1851

yes

characteristic

117

C₂×C₅₉

#1857

yes

characteristic

118

C₂×C₅₉

#1858

yes

characteristic

119

C₂×C₄×Q₈

C₂×D₅₉

yes

characteristic

120

#446

—

121

#446

—

122

#432

—

123

#431

C₂×D₅₉

yes

—

124

C₂×C₄⋊C₈

—

125

C₂×#101

—

126

C₄×M₁₆

—

127

C₂×C₄×C₈

—

128

#343

—

129

#343

—

130

#336

—

118

—

131

#335

—

118

—

132

#334

—

118

—

133

C₅₉

#8838

yes

characteristic, complemented, Sylow

134

C₂²×Q₈

C₄×D₅₉

yes

characteristic

135

C₂×M₁₆

—

136

C₂×M₁₆

—

137

C₂²×C₈

—

118

—

138

C₂²×C₈

—

118

—

139

C₄×Q₈

—

140

C₄×Q₈

—

141

C₂×C₄⋊C₄

Dic₁₁₈

yes

—

142

C₂×C₄⋊C₄

C₄×D₅₉

yes

characteristic

143

C₂×C₄²

C₂²⋊D₅₉

yes

—

144

C₂×C₄²

C₂²×D₅₉

yes

characteristic

145

C₄⋊C₈

—

146

C₄⋊C₈

—

147

C₄⋊C₈

—

118

—

148

C₄⋊C₈

C₂²⋊D₅₉

yes

—

149

C₄⋊C₈

C₂²⋊D₅₉

yes

—

150

#101

—

118

—

151

C₂²⋊C₈

—

152

#97

—

153

#97

—

118

—

154

C₄×C₈

—

155

C₄×C₈

—

118

—

156

C₄×C₈

—

118

—

157

C₂×Q₈

—

158

C₂×Q₈

—

159

C₂×Q₈

—

160

C₂×Q₈

—

161

C₂²×C₄

Dic₅₉⋊C₄

yes

—

162

C₂²×C₄

Dic₅₉⋊C₄

yes

—

163

C₂²×C₄

C₂×Dic₁₁₈

yes

characteristic

164

C₂²×C₄

C₂×C₄×D₅₉

yes

characteristic

165

C₂²×C₄

C₂×C₂²⋊D₅₉

yes

characteristic

166

M₁₆

—

167

M₁₆

—

118

—

168

M₁₆

—

118

—

169

M₁₆

—

118

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₂×C₈

—

118

—

173

C₂×C₈

—

118

—

174

C₂×C₈

—

118

—

175

C₂×C₈

—

236

—

176

C₂×C₈

—

236

—

177

C₂×C₈

—

236

—

178

C₂×C₈

—

236

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄²

—

182

C₄²

—

183

C₄²

#11745685

yes

—

184

C₄²

C₂×C₂²⋊D₅₉

yes

—

185

C₂³

C₂×Dic₅₉⋊C₄

yes

characteristic

186

Q₈

—

187

Q₈

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

C₄×C₂²⋊D₅₉

yes

—

197

C₂×C₄

#14273696

yes

characteristic

198

C₂×C₄

#14273706

yes

—

199

C₂×C₄

#14273710

yes

characteristic

200

C₂×C₄

M₁₆×D₅₉

yes

—

201

C₂×C₄

#14273735

yes

characteristic

202

C₂×C₄

#14273735

yes

characteristic

203

C₈

—

204

C₈

—

205

C₈

—

118

—

206

C₈

—

472

—

207

C₈

—

236

—

208

C₈

—

236

—

209

C₂²

—

210

C₂²

—

211

C₂²

#16837275

yes

characteristic

212

C₂²

#16837425

yes

characteristic

213

C₂²

#16837430

yes

characteristic

214

C₄

—

215

C₄

—

216

C₄

—

217

C₄

—

218

C₄

#16837471

yes

—

219

C₄

#16837478

yes

—

220

C₄

#16837575

yes

characteristic

221

C₄

#16837585

yes

characteristic

222

C₂

—

223

C₂

—

224

C₂

#21424279

yes

characteristic

225

C₂

#21424311

yes

characteristic

226

C₂

#21424316

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#14273696
commutator	C₂²×C₄×C₅₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₅₉
Fitting	C₅₉×#2983	C₂
socle	C₂²×C₅₉	#385
prime radical	C₂³×C₅₉	C₂×C₄⋊C₄
cosocle	C₂×C₄²×C₅₉	C₂³
hypercenter	#2983	D₅₉
hypocenter	C₅₉	#8838
LCS	G ▷ C₂²×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #2983

subgroup

G/H

center

C₂×C₄

#14273696

commutator

C₂²×C₄×C₅₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₅₉

Fitting

C₅₉×#2983

C₂

socle

C₂²×C₅₉

#385

prime radical

C₂³×C₅₉

C₂×C₄⋊C₄

cosocle

C₂×C₄²×C₅₉

C₂³

D₅₉

C₅₉

G ▷ C₂²×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉

UCS

C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #2983

N	H ≅ G/N	type
133. C₅₉	#8838	semidirect

H ≅ G/N

type

133. C₅₉

#8838

semidirect

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

subgroup	index
#21425033	2
C₄×#14273646	2
#21422849	2
#21421932	2
C₅₉×#2983	2
#8838	59

subgroup

index

C₅₉×#2983

Subgroups — #28482566

Conjugacy classes of subgroups

Complements

Maximal subgroups