Group #28507453 — subgroups

Subgroups — #28507453

Order 15104.

516 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 516 conjugacy classes of subgroups — too many to draw. Only its 99 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	C₂²×Dic₄₇₂	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#16837677	C₂	1	2	yes	maximal
3	C₂×#16837219	C₂	1	2	yes	maximal, complemented
4	#21422190	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₉×#2113	C₂	1	1	yes	maximal, characteristic
6	C₂×#14273757	—	2	2	no	—
7	C₂²×Dic₂₃₆	C₂²	1	2	yes	—
8	C₂×Dic₄₇₂	—	2	4	no	—
9	C₂×Dic₄₇₂	—	2	2	no	—
10	#16837677	—	2	4	no	—
11	#16837677	—	2	4	no	—
12	C₂×#14273663	C₂²	1	2	yes	—
13	C₂×#14273645	—	2	2	no	—
14	#16837219	—	2	4	no	—
15	C₂×#131×C₅₉	C₂²	1	1	yes	characteristic
16	C₂×M₃₂×C₅₉	C₂²	1	1	yes	characteristic
17	C₂²×C₁₆×C₅₉	C₂²	1	1	yes	characteristic
18	C₅₉×C₂²⋊C₁₆	—	2	2	no	—
19	C₂²×Dic₁₁₈	—	2	2	no	—
20	#14273757	—	2	8	no	—
21	#14273757	—	4	4	no	—
22	C₂×Dic₂₃₆	—	2	2	no	—
23	C₂×Dic₂₃₆	—	2	2	no	—
24	C₂×Dic₂₃₆	—	2	2	no	—
25	C₂×Dic₂₃₆	—	2	2	no	—
26	C₂×Dic₂₃₆	—	2	2	no	—
27	C₂×Dic₂₃₆	D₄	1	4	yes	—
28	C₂×#11745672	—	4	2	no	—
29	C₂×#11745670	—	4	2	no	—
30	C₂×#11745664	—	2	2	no	—
31	Dic₄₇₂	—	2	8	no	—
32	#14273663	—	2	2	no	—
33	#14273663	D₄	1	4	yes	—
34	#14273645	—	2	8	no	—
35	C₂×#41×C₅₉	D₄	1	1	yes	characteristic
36	#131×C₅₉	—	2	2	no	—
37	#131×C₅₉	—	2	2	no	—
38	C₂×M₁₆×C₅₉	—	2	1	no	—
39	C₂×M₁₆×C₅₉	D₄	1	1	yes	characteristic
40	C₂²×C₈×C₅₉	—	2	1	no	—
41	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
42	M₃₂×C₅₉	—	2	2	no	—
43	C₂×C₁₆×C₅₉	—	2	2	no	—
44	C₂×C₁₆×C₅₉	—	2	1	no	—
45	C₂×C₁₆×C₅₉	D₄	1	2	yes	—
46	#41×C₅₉	—	2	2	no	—
47	#41×C₅₉	—	2	2	no	—
48	C₂×Q₈×C₅₉	D₈	1	1	yes	characteristic
49	C₂×D₄×C₅₉	—	2	1	no	—
50	C₂×D₄×C₅₉	D₈	1	1	yes	characteristic
51	C₂²×C₄×C₅₉	—	2	1	no	—
52	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
53	C₂²×Dic₅₉	—	4	2	no	—
54	C₂×Dic₁₁₈	—	2	4	no	—
55	C₂×Dic₁₁₈	—	4	2	no	—
56	C₂×Dic₁₁₈	—	4	2	no	—
57	C₂×Dic₁₁₈	—	4	2	no	—
58	C₂×Dic₁₁₈	—	4	2	no	—
59	C₂×Dic₁₁₈	—	4	2	no	—
60	M₁₆×C₅₉	—	2	2	no	—
61	M₁₆×C₅₉	—	4	2	no	—
62	C₂×C₈×C₅₉	—	2	1	no	—
63	C₂×C₈×C₅₉	—	4	1	no	—
64	C₂×C₈×C₅₉	—	4	1	no	—
65	C₂×C₈×C₅₉	C₂×D₄	1	2	yes	—
66	C₂×C₈×C₅₉	C₂×D₄	1	1	yes	characteristic
67	C₂×C₈×C₅₉	C₂×D₄	1	2	yes	—
68	C₂×C₈×C₅₉	#41	1	1	yes	characteristic
69	#11745672	—	4	8	no	—
70	#11745670	—	4	8	no	—
71	#11745664	—	2	4	no	—
72	#11745664	—	4	2	no	—
73	C₂×C₅₉⋊C₈	—	4	2	no	—
74	Dic₂₃₆	—	2	4	no	—
75	Dic₂₃₆	—	2	4	no	—
76	Dic₂₃₆	—	4	2	no	—
77	Dic₂₃₆	—	4	2	no	—
78	C₁₆×C₅₉	—	2	2	no	—
79	C₁₆×C₅₉	—	4	1	no	—
80	C₂³×C₅₉	—	2	1	no	—
81	C₂³×C₅₉	#135	1	1	yes	characteristic
82	Q₈×C₅₉	—	2	2	no	—
83	D₄×C₅₉	—	2	2	no	—
84	D₄×C₅₉	—	4	2	no	—
85	C₂×C₄×C₅₉	—	2	1	no	—
86	C₂×C₄×C₅₉	—	4	1	no	—
87	C₂×C₄×C₅₉	—	4	1	no	—
88	C₂×C₄×C₅₉	#120	1	2	yes	—
89	C₂×C₄×C₅₉	#121	1	1	yes	characteristic
90	C₂×C₄×C₅₉	C₂×D₈	1	1	yes	characteristic
91	C₂×C₄×C₅₉	AGL(1,ℤ/8)	1	2	yes	—
92	C₂×Dic₅₉	—	4	4	no	—
93	C₂×Dic₅₉	—	8	2	no	—
94	C₂×Dic₅₉	—	8	2	no	—
95	Dic₁₁₈	—	4	4	no	—
96	Dic₁₁₈	—	4	4	no	—
97	Dic₁₁₈	—	8	2	no	—
98	Dic₁₁₈	—	8	2	no	—
99	C₈×C₅₉	—	4	1	no	—
100	C₈×C₅₉	#120	1	1	yes	characteristic
101	C₈×C₅₉	#121	1	2	yes	—
102	C₈×C₅₉	#127	1	1	yes	characteristic
103	C₅₉⋊C₈	—	4	4	no	—
104	#13315	—	59	1	no	maximal, Sylow
105	C₂²×C₅₉	—	2	2	no	—
106	C₂²×C₅₉	—	4	2	no	—
107	C₂²×C₅₉	—	4	1	no	—
108	C₂²×C₅₉	#449	1	2	yes	—
109	C₂²×C₅₉	#466	1	1	yes	characteristic
110	C₄×C₅₉	—	4	1	no	—
111	C₄×C₅₉	#392	1	1	yes	characteristic
112	C₄×C₅₉	#447	1	2	yes	—
113	C₄×C₅₉	#469	1	1	yes	characteristic
114	Dic₅₉	—	8	4	no	—
115	C₂²×Q₃₂	—	59	1	no	—
116	C₂×#473	—	59	2	no	—
117	C₂×#362	—	59	2	no	—
118	#2113	D₅₉	1	1	yes	characteristic
119	#1381	—	59	1	no	—
120	C₂×C₅₉	—	2	2	no	—
121	C₂×C₅₉	—	8	1	no	—
122	C₂×C₅₉	#1999	1	1	yes	characteristic
123	C₂×C₅₉	#2222	1	2	yes	—
124	C₂×#137	—	118	2	no	—
125	C₂²×Q₁₆	—	59	2	no	—
126	C₂×#131	C₂×D₅₉	1	1	yes	characteristic
127	C₂×Q₃₂	—	118	4	no	—
128	C₂×Q₃₂	—	118	2	no	—
129	C₂×M₃₂	C₂×D₅₉	1	1	yes	characteristic
130	C₂²×C₁₆	C₂×D₅₉	1	1	yes	characteristic
131	#473	—	118	4	no	—
132	#473	—	118	4	no	—
133	C₂×#108	—	59	2	no	—
134	C₂×#101	—	118	2	no	—
135	#362	—	118	4	no	—
136	C₂²⋊C₁₆	—	2	2	no	—
137	C₅₉	#13315	1	1	yes	characteristic, complemented, Sylow
138	C₂×#41	D₂₃₆	1	1	yes	characteristic
139	C₂²×Q₈	—	118	2	no	—
140	#137	—	118	8	no	—
141	#137	—	236	4	no	—
142	C₂×Q₁₆	—	59	4	no	—
143	C₂×Q₁₆	—	118	2	no	—
144	C₂×Q₁₆	—	118	2	no	—
145	C₂×Q₁₆	—	118	2	no	—
146	C₂×Q₁₆	—	118	2	no	—
147	C₂×Q₁₆	—	118	2	no	—
148	C₂×Q₁₆	—	236	2	no	—
149	C₂×SD₁₆	—	236	2	no	—
150	#131	—	2	2	no	—
151	#131	—	2	2	no	—
152	C₂×M₁₆	—	2	1	no	—
153	C₂×M₁₆	—	118	2	no	—
154	C₂×M₁₆	D₂₃₆	1	1	yes	characteristic
155	C₂²×C₈	—	2	1	no	—
156	C₂²×C₈	C₂²×D₅₉	1	1	yes	characteristic
157	Q₃₂	—	118	8	no	—
158	M₃₂	—	2	2	no	—
159	C₂×C₁₆	—	2	2	no	—
160	C₂×C₁₆	—	2	1	no	—
161	C₂×C₁₆	C₂²⋊D₅₉	1	2	yes	—
162	#108	—	59	4	no	—
163	#108	—	118	2	no	—
164	#101	—	118	8	no	—
165	#41	—	2	2	no	—
166	#41	—	2	2	no	—
167	C₂×Q₈	—	118	4	no	—
168	C₂×Q₈	—	236	2	no	—
169	C₂×Q₈	—	236	2	no	—
170	C₂×Q₈	—	236	2	no	—
171	C₂×Q₈	—	236	2	no	—
172	C₂×Q₈	—	236	2	no	—
173	C₂×Q₈	D₄₇₂	1	1	yes	characteristic
174	C₂×D₄	—	2	1	no	—
175	C₂×D₄	D₄₇₂	1	1	yes	characteristic
176	C₂²×C₄	—	2	1	no	—
177	C₂²×C₄	—	236	2	no	—
178	C₂²×C₄	C₂×D₂₃₆	1	1	yes	characteristic
179	Q₁₆	—	118	4	no	—
180	Q₁₆	—	118	4	no	—
181	Q₁₆	—	236	8	no	—
182	Q₁₆	—	236	2	no	—
183	Q₁₆	—	236	2	no	—
184	SD₁₆	—	236	8	no	—
185	M₁₆	—	2	2	no	—
186	M₁₆	—	4	2	no	—
187	M₁₆	—	118	4	no	—
188	M₁₆	—	236	2	no	—
189	C₂×C₈	—	2	1	no	—
190	C₂×C₈	—	4	1	no	—
191	C₂×C₈	—	4	1	no	—
192	C₂×C₈	—	236	2	no	—
193	C₂×C₈	#11745685	1	1	yes	characteristic
194	C₂×C₈	D₄×D₅₉	1	2	yes	—
195	C₂×C₈	D₄×D₅₉	1	2	yes	—
196	C₂×C₈	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
197	C₁₆	—	2	2	no	—
198	C₁₆	—	4	1	no	—
199	C₂³	—	2	1	no	—
200	C₂³	#14273749	1	1	yes	characteristic
201	Q₈	—	2	2	no	—
202	Q₈	—	472	2	no	—
203	Q₈	—	472	2	no	—
204	Q₈	—	236	4	no	—
205	Q₈	—	236	4	no	—
206	D₄	—	2	2	no	—
207	D₄	—	4	2	no	—
208	C₂×C₄	—	2	1	no	—
209	C₂×C₄	—	4	1	no	—
210	C₂×C₄	—	4	1	no	—
211	C₂×C₄	—	472	2	no	—
212	C₂×C₄	—	472	2	no	—
213	C₂×C₄	—	236	4	no	—
214	C₂×C₄	#14273697	1	2	yes	—
215	C₂×C₄	#14273701	1	1	yes	characteristic
216	C₂×C₄	C₂×D₄₇₂	1	1	yes	characteristic
217	C₂×C₄	#14273755	1	2	yes	—
218	C₈	—	4	1	no	—
219	C₈	—	236	4	no	—
220	C₈	#14273695	1	1	yes	characteristic
221	C₈	#14273700	1	2	yes	—
222	C₈	#14273723	1	1	yes	characteristic
223	C₂²	—	2	2	no	—
224	C₂²	—	4	2	no	—
225	C₂²	—	4	1	no	—
226	C₂²	#16837549	1	2	yes	—
227	C₂²	#16837638	1	1	yes	characteristic
228	C₄	—	4	1	no	—
229	C₄	—	472	4	no	—
230	C₄	#16837311	1	1	yes	characteristic
231	C₄	#16837538	1	2	yes	—
232	C₄	#16837655	1	1	yes	characteristic
233	C₂	—	2	2	no	—
234	C₂	—	8	1	no	—
235	C₂	#21425094	1	1	yes	characteristic
236	C₂	#21426221	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×Dic₄₇₂

C₂

yes

maximal, characteristic, complemented

C₂×#16837677

C₂

yes

maximal

C₂×#16837219

C₂

yes

maximal, complemented

#21422190

C₂

yes

maximal, characteristic, complemented

C₅₉×#2113

C₂

yes

maximal, characteristic

C₂×#14273757

—

C₂²×Dic₂₃₆

C₂²

yes

—

C₂×Dic₄₇₂

—

C₂×Dic₄₇₂

—

#16837677

—

#16837677

—

C₂×#14273663

C₂²

yes

—

C₂×#14273645

—

#16837219

—

C₂×#131×C₅₉

C₂²

yes

characteristic

C₂×M₃₂×C₅₉

C₂²

yes

characteristic

C₂²×C₁₆×C₅₉

C₂²

yes

characteristic

C₅₉×C₂²⋊C₁₆

—

C₂²×Dic₁₁₈

—

#14273757

—

#14273757

—

C₂×Dic₂₃₆

—

C₂×Dic₂₃₆

—

C₂×Dic₂₃₆

—

C₂×Dic₂₃₆

—

C₂×Dic₂₃₆

—

C₂×Dic₂₃₆

D₄

yes

—

C₂×#11745672

—

C₂×#11745670

—

C₂×#11745664

—

Dic₄₇₂

—

#14273663

—

#14273663

D₄

yes

—

#14273645

—

C₂×#41×C₅₉

D₄

yes

characteristic

#131×C₅₉

—

#131×C₅₉

—

C₂×M₁₆×C₅₉

—

C₂×M₁₆×C₅₉

D₄

yes

characteristic

C₂²×C₈×C₅₉

—

C₂²×C₈×C₅₉

C₂³

yes

characteristic

M₃₂×C₅₉

—

C₂×C₁₆×C₅₉

—

C₂×C₁₆×C₅₉

—

C₂×C₁₆×C₅₉

D₄

yes

—

#41×C₅₉

—

#41×C₅₉

—

C₂×Q₈×C₅₉

D₈

yes

characteristic

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

D₈

yes

characteristic

C₂²×C₄×C₅₉

—

C₂²×C₄×C₅₉

C₂×D₄

yes

characteristic

C₂²×Dic₅₉

—

C₂×Dic₁₁₈

—

C₂×Dic₁₁₈

—

C₂×Dic₁₁₈

—

C₂×Dic₁₁₈

—

C₂×Dic₁₁₈

—

C₂×Dic₁₁₈

—

M₁₆×C₅₉

—

M₁₆×C₅₉

—

C₂×C₈×C₅₉

—

C₂×C₈×C₅₉

—

C₂×C₈×C₅₉

—

C₂×C₈×C₅₉

C₂×D₄

yes

—

C₂×C₈×C₅₉

C₂×D₄

yes

characteristic

C₂×C₈×C₅₉

C₂×D₄

yes

—

C₂×C₈×C₅₉

yes

—

—

—

—

C₂×C₅₉⋊C₈

—

Dic₂₃₆

—

Dic₂₃₆

—

Dic₂₃₆

—

Dic₂₃₆

—

C₁₆×C₅₉

—

C₁₆×C₅₉

—

C₂³×C₅₉

—

C₂³×C₅₉

#135

yes

characteristic

Q₈×C₅₉

—

D₄×C₅₉

—

D₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

#120

yes

—

C₂×C₄×C₅₉

#121

yes

characteristic

C₂×C₄×C₅₉

C₂×D₈

yes

characteristic

C₂×C₄×C₅₉

AGL(1,ℤ/8)

yes

—

C₂×Dic₅₉

—

C₂×Dic₅₉

—

C₂×Dic₅₉

—

Dic₁₁₈

—

Dic₁₁₈

—

Dic₁₁₈

—

Dic₁₁₈

—

C₈×C₅₉

—

100

C₈×C₅₉

#120

yes

characteristic

101

C₈×C₅₉

#121

yes

—

102

C₈×C₅₉

#127

yes

characteristic

103

C₅₉⋊C₈

—

104

#13315

—

maximal, Sylow

105

C₂²×C₅₉

—

106

C₂²×C₅₉

—

107

C₂²×C₅₉

—

108

C₂²×C₅₉

#449

yes

—

109

C₂²×C₅₉

#466

yes

characteristic

110

C₄×C₅₉

—

111

C₄×C₅₉

#392

yes

characteristic

112

C₄×C₅₉

#447

yes

—

113

C₄×C₅₉

#469

yes

characteristic

114

Dic₅₉

—

115

C₂²×Q₃₂

—

116

C₂×#473

—

117

C₂×#362

—

118

#2113

D₅₉

yes

characteristic

119

#1381

—

120

C₂×C₅₉

—

121

C₂×C₅₉

—

122

C₂×C₅₉

#1999

yes

characteristic

123

C₂×C₅₉

#2222

yes

—

124

C₂×#137

—

118

—

125

C₂²×Q₁₆

—

126

C₂×#131

C₂×D₅₉

yes

characteristic

127

C₂×Q₃₂

—

118

—

128

C₂×Q₃₂

—

118

—

129

C₂×M₃₂

C₂×D₅₉

yes

characteristic

130

C₂²×C₁₆

C₂×D₅₉

yes

characteristic

131

#473

—

118

—

132

#473

—

118

—

133

C₂×#108

—

134

C₂×#101

—

118

—

135

#362

—

118

—

136

C₂²⋊C₁₆

—

137

C₅₉

#13315

yes

characteristic, complemented, Sylow

138

C₂×#41

D₂₃₆

yes

characteristic

139

C₂²×Q₈

—

118

—

140

#137

—

118

—

141

#137

—

236

—

142

C₂×Q₁₆

—

143

C₂×Q₁₆

—

118

—

144

C₂×Q₁₆

—

118

—

145

C₂×Q₁₆

—

118

—

146

C₂×Q₁₆

—

118

—

147

C₂×Q₁₆

—

118

—

148

C₂×Q₁₆

—

236

—

149

C₂×SD₁₆

—

236

—

150

#131

—

151

#131

—

152

C₂×M₁₆

—

153

C₂×M₁₆

—

118

—

154

C₂×M₁₆

D₂₃₆

yes

characteristic

155

C₂²×C₈

—

156

C₂²×C₈

C₂²×D₅₉

yes

characteristic

157

Q₃₂

—

118

—

158

M₃₂

—

159

C₂×C₁₆

—

160

C₂×C₁₆

—

161

C₂×C₁₆

C₂²⋊D₅₉

yes

—

162

#108

—

163

#108

—

118

—

164

#101

—

118

—

165

#41

—

166

#41

—

167

C₂×Q₈

—

118

—

168

C₂×Q₈

—

236

—

169

C₂×Q₈

—

236

—

170

C₂×Q₈

—

236

—

171

C₂×Q₈

—

236

—

172

C₂×Q₈

—

236

—

173

C₂×Q₈

D₄₇₂

yes

characteristic

174

C₂×D₄

—

175

C₂×D₄

D₄₇₂

yes

characteristic

176

C₂²×C₄

—

177

C₂²×C₄

—

236

—

178

C₂²×C₄

C₂×D₂₃₆

yes

characteristic

179

Q₁₆

—

118

—

180

Q₁₆

—

118

—

181

Q₁₆

—

236

—

182

Q₁₆

—

236

—

183

Q₁₆

—

236

—

184

SD₁₆

—

236

—

185

M₁₆

—

186

M₁₆

—

187

M₁₆

—

118

—

188

M₁₆

—

236

—

189

C₂×C₈

—

190

C₂×C₈

—

191

C₂×C₈

—

192

C₂×C₈

—

236

—

193

C₂×C₈

#11745685

yes

characteristic

194

C₂×C₈

D₄×D₅₉

yes

—

195

C₂×C₈

D₄×D₅₉

yes

—

196

C₂×C₈

C₂×C₂²⋊D₅₉

yes

characteristic

197

C₁₆

—

198

C₁₆

—

199

C₂³

—

200

C₂³

#14273749

yes

characteristic

201

Q₈

—

202

Q₈

—

472

—

203

Q₈

—

472

—

204

Q₈

—

236

—

205

Q₈

—

236

—

206

D₄

—

207

D₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

472

—

212

C₂×C₄

—

472

—

213

C₂×C₄

—

236

—

214

C₂×C₄

#14273697

yes

—

215

C₂×C₄

#14273701

yes

characteristic

216

C₂×C₄

C₂×D₄₇₂

yes

characteristic

217

C₂×C₄

#14273755

yes

—

218

C₈

—

219

C₈

—

236

—

220

C₈

#14273695

yes

characteristic

221

C₈

#14273700

yes

—

222

C₈

#14273723

yes

characteristic

223

C₂²

—

224

C₂²

—

225

C₂²

—

226

C₂²

#16837549

yes

—

227

C₂²

#16837638

yes

characteristic

228

C₄

—

229

C₄

—

472

—

230

C₄

#16837311

yes

characteristic

231

C₄

#16837538

yes

—

232

C₄

#16837655

yes

characteristic

233

C₂

—

234

C₂

—

235

C₂

#21425094

yes

characteristic

236

C₂

#21426221

yes

—

	subgroup	G/H
center	C₂²	#16837638
commutator, cosocle	C₂²×C₈×C₅₉	C₂³
Frattini	C₂²×C₈	C₂²×D₅₉
Fitting	C₅₉×#2113	C₂
socle	C₂²×C₅₉	#466
prime radical	C₂×#41×C₅₉	D₄
hypercenter	#2113	D₅₉
hypocenter	C₅₉	#13315
LCS	G ▷ C₂²×C₈×C₅₉ ▷ C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#131 ◁ #2113

subgroup

G/H

center

C₂²

#16837638

commutator, cosocle

C₂²×C₈×C₅₉

C₂³

Frattini

C₂²×C₈

C₂²×D₅₉

Fitting

C₅₉×#2113

C₂

socle

C₂²×C₅₉

#466

prime radical

C₂×#41×C₅₉

D₄

D₅₉

C₅₉

G ▷ C₂²×C₈×C₅₉ ▷ C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉

UCS

C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#131 ◁ #2113

N	H ≅ G/N	type
1. C₂²×Dic₄₇₂	C₂	semidirect
3. C₂×#16837219	C₂	semidirect
4. #21422190	C₂	semidirect
137. C₅₉	#13315	semidirect

H ≅ G/N

type

1. C₂²×Dic₄₇₂

C₂

semidirect

3. C₂×#16837219

C₂

semidirect

4. #21422190

C₂

semidirect

137. C₅₉

#13315

semidirect

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

subgroup	index
C₂²×Dic₄₇₂	2
C₂×#16837677	2
C₂×#16837219	2
#21422190	2
C₅₉×#2113	2
#13315	59

subgroup

index

C₂²×Dic₄₇₂

C₅₉×#2113

Subgroups — #28507453

Conjugacy classes of subgroups

Complements

Maximal subgroups