Group #15781671 — subgroups

Subgroups — #15781671

Order 3328.

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

normal subgroups only

This group has 556 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×D₂₀₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#11718803	C₂	1	2	yes	maximal, complemented
3	C₂×#11718108	C₂	1	2	yes	maximal, complemented
4	#13112930	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2113	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
7	C₂×#88203	—	2	2	no	—
8	C₂²×D₁₀₄	C₂²	1	2	yes	—
9	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
10	C₂²×C₁₃×C₁₆	C₂²	1	1	yes	characteristic
11	#11718803	—	2	4	no	—
12	#11718803	—	2	4	no	—
13	C₂×#88063	—	2	2	no	—
14	C₂×#88059	C₂²	1	2	yes	—
15	C₂×D₂₀₈	—	2	4	no	—
16	C₂×D₂₀₈	—	2	2	no	—
17	C₁₃×C₂²⋊C₁₆	—	2	2	no	—
18	#11718108	—	2	4	no	—
19	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
20	C₂²×D₅₂	—	2	2	no	—
21	C₁₃×#131	—	2	2	no	—
22	C₁₃×#131	—	2	2	no	—
23	C₂×C₁₃×M₁₆	—	2	1	no	—
24	C₂×C₁₃×M₁₆	D₄	1	1	yes	characteristic
25	C₂²×C₈×C₁₃	—	2	1	no	—
26	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
27	#88203	—	2	8	no	—
28	#88203	—	4	4	no	—
29	C₂×#6106	—	4	2	no	—
30	C₂×#6104	—	4	2	no	—
31	C₂×#6099	—	2	2	no	—
32	C₂×D₁₀₄	—	2	2	no	—
33	C₂×D₁₀₄	—	2	2	no	—
34	C₂×D₁₀₄	—	2	2	no	—
35	C₂×D₁₀₄	—	2	2	no	—
36	C₂×D₁₀₄	—	2	2	no	—
37	C₂×D₁₀₄	D₄	1	4	yes	—
38	C₁₃×M₃₂	—	2	2	no	—
39	C₂×C₁₃×C₁₆	—	2	2	no	—
40	C₂×C₁₃×C₁₆	—	2	1	no	—
41	C₂×C₁₃×C₁₆	D₄	1	2	yes	—
42	#88063	—	2	8	no	—
43	#88059	—	2	2	no	—
44	#88059	D₄	1	4	yes	—
45	D₂₀₈	—	2	8	no	—
46	#13313	—	13	1	no	maximal, Sylow
47	C₂³×D₁₃	—	4	2	no	—
48	C₁₃×#41	—	2	2	no	—
49	C₁₃×#41	—	2	2	no	—
50	C₂×Q₈×C₁₃	D₈	1	1	yes	characteristic
51	C₂×D₄×C₁₃	—	2	1	no	—
52	C₂×D₄×C₁₃	D₈	1	1	yes	characteristic
53	C₂²×C₄×C₁₃	—	2	1	no	—
54	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
55	C₂×D₅₂	—	2	4	no	—
56	C₂×D₅₂	—	4	2	no	—
57	C₂×D₅₂	—	4	2	no	—
58	C₂×D₅₂	—	4	2	no	—
59	C₂×D₅₂	—	4	2	no	—
60	C₂×D₅₂	—	4	2	no	—
61	C₁₃×M₁₆	—	2	2	no	—
62	C₁₃×M₁₆	—	4	2	no	—
63	C₂×C₈×C₁₃	—	2	1	no	—
64	C₂×C₈×C₁₃	—	4	1	no	—
65	C₂×C₈×C₁₃	—	4	1	no	—
66	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
67	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
68	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
69	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
70	#6106	—	4	8	no	—
71	#6104	—	4	8	no	—
72	#6099	—	2	4	no	—
73	#6099	—	4	2	no	—
74	C₂×#1055	—	4	2	no	—
75	D₁₀₄	—	2	4	no	—
76	D₁₀₄	—	2	4	no	—
77	D₁₀₄	—	4	2	no	—
78	D₁₀₄	—	4	2	no	—
79	C₁₃×C₁₆	—	2	2	no	—
80	C₁₃×C₁₆	—	4	1	no	—
81	C₂²×D₁₆	—	13	1	no	—
82	C₂×#472	—	13	2	no	—
83	C₂×#361	—	13	2	no	—
84	#2113	D₁₃	1	1	yes	characteristic, complemented
85	#1381	—	13	1	no	—
86	C₂³×C₁₃	—	2	1	no	—
87	C₂³×C₁₃	#135	1	1	yes	characteristic
88	C₂²×D₁₃	—	4	4	no	—
89	C₂²×D₁₃	—	8	2	no	—
90	C₂²×D₁₃	—	8	2	no	—
91	C₂²×D₁₃	—	16	4	no	—
92	Q₈×C₁₃	—	2	2	no	—
93	D₄×C₁₃	—	2	2	no	—
94	D₄×C₁₃	—	4	2	no	—
95	C₂×C₄×C₁₃	—	2	1	no	—
96	C₂×C₄×C₁₃	—	4	1	no	—
97	C₂×C₄×C₁₃	—	4	1	no	—
98	C₂×C₄×C₁₃	#120	1	2	yes	—
99	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
100	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
101	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
102	D₅₂	—	4	4	no	—
103	D₅₂	—	4	4	no	—
104	D₅₂	—	8	2	no	—
105	D₅₂	—	8	2	no	—
106	C₈×C₁₃	—	4	1	no	—
107	C₈×C₁₃	#120	1	1	yes	characteristic
108	C₈×C₁₃	#121	1	2	yes	—
109	C₈×C₁₃	#127	1	1	yes	characteristic
110	#1055	—	4	4	no	—
111	C₂×AGL(1,ℤ/8)	—	26	2	no	—
112	C₂²×D₈	—	13	2	no	—
113	C₂×#131	C₂×D₁₃	1	1	yes	characteristic
114	C₂×D₁₆	—	26	4	no	—
115	C₂×D₁₆	—	26	2	no	—
116	C₂×M₃₂	C₂×D₁₃	1	1	yes	characteristic
117	C₂²×C₁₆	C₂×D₁₃	1	1	yes	characteristic
118	#472	—	26	4	no	—
119	#472	—	26	4	no	—
120	C₂×#108	—	13	2	no	—
121	C₂×#100	—	26	2	no	—
122	#361	—	26	4	no	—
123	C₂²⋊C₁₆	—	2	2	no	—
124	C₂²×C₁₃	—	2	2	no	—
125	C₂²×C₁₃	—	4	2	no	—
126	C₂²×C₁₃	—	4	1	no	—
127	C₂²×C₁₃	#449	1	2	yes	—
128	C₂²×C₁₃	#466	1	1	yes	characteristic
129	C₂×D₁₃	—	8	4	no	—
130	C₂×D₁₃	—	16	4	no	—
131	C₂×D₁₃	—	16	4	no	—
132	C₂×D₁₃	—	16	4	no	—
133	C₄×C₁₃	—	4	1	no	—
134	C₄×C₁₃	#392	1	1	yes	characteristic
135	C₄×C₁₃	#447	1	2	yes	—
136	C₄×C₁₃	#469	1	1	yes	characteristic
137	C₂×#41	D₅₂	1	1	yes	characteristic
138	C₂²×D₄	—	26	2	no	—
139	AGL(1,ℤ/8)	—	26	8	no	—
140	AGL(1,ℤ/8)	—	52	4	no	—
141	C₂×SD₁₆	—	52	2	no	—
142	C₂×D₈	—	13	4	no	—
143	C₂×D₈	—	26	2	no	—
144	C₂×D₈	—	26	2	no	—
145	C₂×D₈	—	26	2	no	—
146	C₂×D₈	—	26	2	no	—
147	C₂×D₈	—	26	2	no	—
148	C₂×D₈	—	52	2	no	—
149	#131	—	2	2	no	—
150	#131	—	2	2	no	—
151	C₂×M₁₆	—	2	1	no	—
152	C₂×M₁₆	—	26	2	no	—
153	C₂×M₁₆	D₅₂	1	1	yes	characteristic
154	C₂²×C₈	—	2	1	no	—
155	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
156	D₁₆	—	26	8	no	—
157	M₃₂	—	2	2	no	—
158	C₂×C₁₆	—	2	2	no	—
159	C₂×C₁₆	—	2	1	no	—
160	C₂×C₁₆	C₂²⋊D₁₃	1	2	yes	—
161	#108	—	13	4	no	—
162	#108	—	26	2	no	—
163	#100	—	26	8	no	—
164	C₂×C₁₃	—	2	2	no	—
165	C₂×C₁₃	—	8	1	no	—
166	C₂×C₁₃	#1999	1	1	yes	characteristic
167	C₂×C₁₃	#2221	1	2	yes	—
168	D₁₃	—	16	4	no	—
169	C₂⁴	—	52	2	no	—
170	#41	—	2	2	no	—
171	#41	—	2	2	no	—
172	C₂×Q₈	D₁₀₄	1	1	yes	characteristic
173	C₂×D₄	—	2	1	no	—
174	C₂×D₄	—	26	4	no	—
175	C₂×D₄	—	52	2	no	—
176	C₂×D₄	—	52	2	no	—
177	C₂×D₄	—	52	2	no	—
178	C₂×D₄	—	52	2	no	—
179	C₂×D₄	—	52	2	no	—
180	C₂×D₄	D₁₀₄	1	1	yes	characteristic
181	C₂²×C₄	—	2	1	no	—
182	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
183	SD₁₆	—	52	8	no	—
184	D₈	—	26	4	no	—
185	D₈	—	26	4	no	—
186	D₈	—	52	8	no	—
187	D₈	—	52	2	no	—
188	D₈	—	52	2	no	—
189	M₁₆	—	2	2	no	—
190	M₁₆	—	4	2	no	—
191	M₁₆	—	26	4	no	—
192	M₁₆	—	52	2	no	—
193	C₂×C₈	—	2	1	no	—
194	C₂×C₈	—	4	1	no	—
195	C₂×C₈	—	4	1	no	—
196	C₂×C₈	—	52	2	no	—
197	C₂×C₈	#6127	1	1	yes	characteristic
198	C₂×C₈	D₄×D₁₃	1	2	yes	—
199	C₂×C₈	D₄×D₁₃	1	2	yes	—
200	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
201	C₁₆	—	2	2	no	—
202	C₁₆	—	4	1	no	—
203	C₁₃	#13313	1	1	yes	characteristic, complemented, Sylow
204	C₂³	—	2	1	no	—
205	C₂³	—	52	4	no	—
206	C₂³	—	104	2	no	—
207	C₂³	—	104	2	no	—
208	C₂³	—	208	4	no	—
209	C₂³	#88158	1	1	yes	characteristic
210	Q₈	—	2	2	no	—
211	D₄	—	2	2	no	—
212	D₄	—	4	2	no	—
213	D₄	—	52	4	no	—
214	D₄	—	52	4	no	—
215	D₄	—	104	2	no	—
216	D₄	—	104	2	no	—
217	C₂×C₄	—	2	1	no	—
218	C₂×C₄	—	4	1	no	—
219	C₂×C₄	—	4	1	no	—
220	C₂×C₄	#88136	1	2	yes	—
221	C₂×C₄	C₂×D₁₀₄	1	1	yes	characteristic
222	C₂×C₄	#88162	1	2	yes	—
223	C₂×C₄	#88184	1	1	yes	characteristic
224	C₈	—	4	1	no	—
225	C₈	—	52	4	no	—
226	C₈	#88138	1	2	yes	—
227	C₈	#88191	1	1	yes	characteristic
228	C₈	#88194	1	1	yes	characteristic
229	C₂²	—	2	2	no	—
230	C₂²	—	4	2	no	—
231	C₂²	—	4	1	no	—
232	C₂²	—	104	4	no	—
233	C₂²	—	208	4	no	—
234	C₂²	—	208	4	no	—
235	C₂²	—	208	4	no	—
236	C₂²	#11718395	1	2	yes	—
237	C₂²	#11718776	1	1	yes	characteristic
238	C₄	—	4	1	no	—
239	C₄	#11718393	1	2	yes	—
240	C₄	#11718621	1	1	yes	characteristic
241	C₄	#11718796	1	1	yes	characteristic
242	C₂	—	2	2	no	—
243	C₂	—	8	1	no	—
244	C₂	—	208	4	no	—
245	C₂	#13115834	1	1	yes	characteristic
246	C₂	#13116956	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×D₂₀₈

C₂

yes

maximal, characteristic, complemented

C₂×#11718803

C₂

yes

maximal, complemented

C₂×#11718108

C₂

yes

maximal, complemented

#13112930

C₂

yes

maximal, characteristic, complemented

C₁₃×#2113

C₂

yes

maximal, characteristic, complemented

C₂×C₁₃×#131

C₂²

yes

characteristic

C₂×#88203

—

C₂²×D₁₀₄

C₂²

yes

—

C₂×C₁₃×M₃₂

C₂²

yes

characteristic

C₂²×C₁₃×C₁₆

C₂²

yes

—

—

—

C₂²

yes

—

C₂×D₂₀₈

—

C₂×D₂₀₈

—

C₁₃×C₂²⋊C₁₆

—

#11718108

—

C₂×C₁₃×#41

D₄

yes

characteristic

C₂²×D₅₂

—

C₁₃×#131

—

C₁₃×#131

—

C₂×C₁₃×M₁₆

—

C₂×C₁₃×M₁₆

D₄

yes

characteristic

C₂²×C₈×C₁₃

—

C₂²×C₈×C₁₃

C₂³

yes

—

—

—

—

—

C₂×D₁₀₄

—

C₂×D₁₀₄

—

C₂×D₁₀₄

—

C₂×D₁₀₄

—

C₂×D₁₀₄

—

C₂×D₁₀₄

D₄

yes

—

C₁₃×M₃₂

—

C₂×C₁₃×C₁₆

—

C₂×C₁₃×C₁₆

—

C₂×C₁₃×C₁₆

D₄

yes

—

#88063

—

#88059

—

#88059

D₄

yes

—

D₂₀₈

—

#13313

—

maximal, Sylow

C₂³×D₁₃

—

C₁₃×#41

—

C₁₃×#41

—

C₂×Q₈×C₁₃

D₈

yes

characteristic

C₂×D₄×C₁₃

—

C₂×D₄×C₁₃

D₈

yes

characteristic

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₁₃×M₁₆

—

C₁₃×M₁₆

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

C₂×D₄

yes

—

C₂×C₈×C₁₃

C₂×D₄

yes

characteristic

C₂×C₈×C₁₃

C₂×D₄

yes

—

C₂×C₈×C₁₃

yes

—

—

—

—

—

D₁₀₄

—

D₁₀₄

—

D₁₀₄

—

D₁₀₄

—

C₁₃×C₁₆

—

C₁₃×C₁₆

—

C₂²×D₁₆

—

C₂×#472

—

C₂×#361

—

#2113

D₁₃

yes

characteristic, complemented

#1381

—

C₂³×C₁₃

—

C₂³×C₁₃

#135

yes

characteristic

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

Q₈×C₁₃

—

D₄×C₁₃

—

D₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

#120

yes

—

C₂×C₄×C₁₃

#121

yes

characteristic

100

C₂×C₄×C₁₃

C₂×D₈

yes

characteristic

101

C₂×C₄×C₁₃

AGL(1,ℤ/8)

yes

—

102

D₅₂

—

103

D₅₂

—

104

D₅₂

—

105

D₅₂

—

106

C₈×C₁₃

—

107

C₈×C₁₃

#120

yes

characteristic

108

C₈×C₁₃

#121

yes

—

109

C₈×C₁₃

#127

yes

characteristic

110

#1055

—

111

C₂×AGL(1,ℤ/8)

—

112

C₂²×D₈

—

113

C₂×#131

C₂×D₁₃

yes

characteristic

114

C₂×D₁₆

—

115

C₂×D₁₆

—

116

C₂×M₃₂

C₂×D₁₃

yes

characteristic

117

C₂²×C₁₆

C₂×D₁₃

yes

characteristic

118

#472

—

119

#472

—

120

C₂×#108

—

121

C₂×#100

—

122

#361

—

123

C₂²⋊C₁₆

—

124

C₂²×C₁₃

—

125

C₂²×C₁₃

—

126

C₂²×C₁₃

—

127

C₂²×C₁₃

#449

yes

—

128

C₂²×C₁₃

#466

yes

characteristic

129

C₂×D₁₃

—

130

C₂×D₁₃

—

131

C₂×D₁₃

—

132

C₂×D₁₃

—

133

C₄×C₁₃

—

134

C₄×C₁₃

#392

yes

characteristic

135

C₄×C₁₃

#447

yes

—

136

C₄×C₁₃

#469

yes

characteristic

137

C₂×#41

D₅₂

yes

characteristic

138

C₂²×D₄

—

139

AGL(1,ℤ/8)

—

140

AGL(1,ℤ/8)

—

141

C₂×SD₁₆

—

142

C₂×D₈

—

143

C₂×D₈

—

144

C₂×D₈

—

145

C₂×D₈

—

146

C₂×D₈

—

147

C₂×D₈

—

148

C₂×D₈

—

149

#131

—

150

#131

—

151

C₂×M₁₆

—

152

C₂×M₁₆

—

153

C₂×M₁₆

D₅₂

yes

characteristic

154

C₂²×C₈

—

155

C₂²×C₈

C₂²×D₁₃

yes

characteristic

156

D₁₆

—

157

M₃₂

—

158

C₂×C₁₆

—

159

C₂×C₁₆

—

160

C₂×C₁₆

C₂²⋊D₁₃

yes

—

161

#108

—

162

#108

—

163

#100

—

164

C₂×C₁₃

—

165

C₂×C₁₃

—

166

C₂×C₁₃

#1999

yes

characteristic

167

C₂×C₁₃

#2221

yes

—

168

D₁₃

—

169

C₂⁴

—

170

#41

—

171

#41

—

172

C₂×Q₈

D₁₀₄

yes

characteristic

173

C₂×D₄

—

174

C₂×D₄

—

175

C₂×D₄

—

176

C₂×D₄

—

177

C₂×D₄

—

178

C₂×D₄

—

179

C₂×D₄

—

180

C₂×D₄

D₁₀₄

yes

characteristic

181

C₂²×C₄

—

182

C₂²×C₄

C₂×D₅₂

yes

characteristic

183

SD₁₆

—

184

D₈

—

185

D₈

—

186

D₈

—

187

D₈

—

188

D₈

—

189

M₁₆

—

190

M₁₆

—

191

M₁₆

—

192

M₁₆

—

193

C₂×C₈

—

194

C₂×C₈

—

195

C₂×C₈

—

196

C₂×C₈

—

197

C₂×C₈

#6127

yes

characteristic

198

C₂×C₈

D₄×D₁₃

yes

—

199

C₂×C₈

D₄×D₁₃

yes

—

200

C₂×C₈

C₂×C₂²⋊D₁₃

yes

characteristic

201

C₁₆

—

202

C₁₆

—

203

C₁₃

#13313

yes

characteristic, complemented, Sylow

204

C₂³

—

205

C₂³

—

206

C₂³

—

104

—

207

C₂³

—

104

—

208

C₂³

—

208

—

209

C₂³

#88158

yes

characteristic

210

Q₈

—

211

D₄

—

212

D₄

—

213

D₄

—

214

D₄

—

215

D₄

—

104

—

216

D₄

—

104

—

217

C₂×C₄

—

218

C₂×C₄

—

219

C₂×C₄

—

220

C₂×C₄

#88136

yes

—

221

C₂×C₄

C₂×D₁₀₄

yes

characteristic

222

C₂×C₄

#88162

yes

—

223

C₂×C₄

#88184

yes

characteristic

224

C₈

—

225

C₈

—

226

C₈

#88138

yes

—

227

C₈

#88191

yes

characteristic

228

C₈

#88194

yes

characteristic

229

C₂²

—

230

C₂²

—

231

C₂²

—

232

C₂²

—

104

—

233

C₂²

—

208

—

234

C₂²

—

208

—

235

C₂²

—

208

—

236

C₂²

#11718395

yes

—

237

C₂²

#11718776

yes

characteristic

238

C₄

—

239

C₄

#11718393

yes

—

240

C₄

#11718621

yes

characteristic

241

C₄

#11718796

yes

characteristic

242

C₂

—

243

C₂

—

244

C₂

—

208

—

245

C₂

#13115834

yes

characteristic

246

C₂

#13116956

yes

—

	subgroup	G/H
center	C₂²	#11718776
commutator, cosocle	C₂²×C₈×C₁₃	C₂³
Frattini	C₂²×C₈	C₂²×D₁₃
Fitting	C₁₃×#2113	C₂
socle	C₂²×C₁₃	#466
hypercenter	#2113	D₁₃
hypocenter	C₁₃	#13313
LCS	G ▷ C₂²×C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#131 ◁ #2113

subgroup

G/H

center

C₂²

#11718776

commutator, cosocle

C₂²×C₈×C₁₃

C₂³

Frattini

C₂²×C₈

C₂²×D₁₃

Fitting

C₁₃×#2113

C₂

C₂²×C₁₃

D₁₃

C₁₃

G ▷ C₂²×C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×#131 ◁ #2113

N	H ≅ G/N	type
1. C₂²×D₂₀₈	C₂	semidirect
2. C₂×#11718803	C₂	semidirect
3. C₂×#11718108	C₂	semidirect
4. #13112930	C₂	semidirect
5. C₁₃×#2113	C₂	semidirect
84. #2113	D₁₃	semidirect
203. C₁₃	#13313	semidirect

H ≅ G/N

type

1. C₂²×D₂₀₈

C₂

semidirect

2. C₂×#11718803

C₂

semidirect

3. C₂×#11718108

C₂

semidirect

4. #13112930

C₂

semidirect

5. C₁₃×#2113

C₂

semidirect

84. #2113

D₁₃

semidirect

203. C₁₃

#13313

semidirect

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

subgroup	index
C₂²×D₂₀₈	2
C₂×#11718803	2
C₂×#11718108	2
#13112930	2
C₁₃×#2113	2
#13313	13

subgroup

index

C₂²×D₂₀₈

C₁₃×#2113

Subgroups — #15781671

Conjugacy classes of subgroups

Complements

Maximal subgroups