Group #16784601 — subgroups

Subgroups — #16784601

Order 3328.

482 conjugacy classes of subgroups; only the 124 normal subgroups are shown.

normal subgroups only

This group has 482 conjugacy classes of subgroups — too many to draw. Only its 124 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	#13131005	C₂	1	2	yes	maximal
2	C₂×#11718255	C₂	1	1	yes	maximal, characteristic
3	C₂×Q₈⋊#1057	C₂	1	2	yes	maximal
4	C₂×#1057⋊C₈	C₂	1	1	yes	maximal, characteristic
5	C₂×Q₁₆×Dic₁₃	C₂	1	1	yes	maximal, characteristic
6	C₂²×C₁₃×Q₁₆	C₄	1	1	yes	characteristic
7	C₂×Q₈×Dic₁₃	C₂²	1	2	yes	—
8	C₂×C₄⋊#1057	C₂²	1	2	yes	—
9	C₂×C₄×#1057	C₂²	1	1	yes	characteristic
10	C₂×C₄×#1057	C₂²	1	1	yes	characteristic
11	C₂×#88075	C₄	1	2	yes	—
12	Q₁₆×Dic₁₃	—	2	2	no	—
13	Q₁₆×Dic₁₃	—	2	2	no	—
14	C₂×#88058	C₄	1	1	yes	characteristic
15	C₂×C₈×Dic₁₃	C₂²	1	1	yes	characteristic
16	Q₈⋊#1057	—	2	4	no	—
17	#11718290	—	2	4	no	—
18	#11718255	—	2	2	no	—
19	#1057⋊C₈	—	2	2	no	—
20	C₂²×Q₈×C₁₃	C₂×C₄	1	2	yes	—
21	C₂²×#1057	—	2	1	no	—
22	C₂²×#1057	—	2	2	no	—
23	C₂²×#1057	D₄	1	2	yes	—
24	C₂×C₁₃×Q₁₆	—	2	4	no	—
25	C₂×C₁₃×Q₁₆	—	2	2	no	—
26	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
27	Q₈×Dic₁₃	—	2	2	no	—
28	Q₈×Dic₁₃	—	2	2	no	—
29	Q₈×Dic₁₃	—	2	2	no	—
30	Q₈×Dic₁₃	—	2	2	no	—
31	C₂×C₄⋊Dic₁₃	—	2	2	no	—
32	C₂×C₄⋊Dic₁₃	C₂×C₄	1	2	yes	—
33	C₂×C₄×Dic₁₃	—	2	2	no	—
34	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
35	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
36	C₄⋊#1057	—	2	2	no	—
37	C₄⋊#1057	—	2	2	no	—
38	C₄×#1057	—	2	1	no	—
39	C₄×#1057	—	2	1	no	—
40	C₄×#1057	—	2	1	no	—
41	C₄×#1057	D₄	1	2	yes	—
42	#88075	—	2	4	no	—
43	#88058	—	2	2	no	—
44	C₈×Dic₁₃	D₄	1	2	yes	—
45	C₈×Dic₁₃	D₄	1	2	yes	—
46	#9664	—	13	1	no	maximal, Sylow
47	C₂×Q₈×C₁₃	—	2	2	no	—
48	C₂×Q₈×C₁₃	—	2	2	no	—
49	C₂×Q₈×C₁₃	—	2	2	no	—
50	C₂×Q₈×C₁₃	—	2	2	no	—
51	C₂×Q₈×C₁₃	—	2	2	no	—
52	C₂×Q₈×C₁₃	M₁₆	1	4	yes	—
53	C₂²×C₄×C₁₃	—	2	2	no	—
54	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
55	C₂²×Dic₁₃	—	2	2	no	—
56	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
57	C₂²×Dic₁₃	#41	1	1	yes	characteristic
58	C₂×#1057	—	2	4	no	—
59	C₂×#1057	—	2	2	no	—
60	C₂×#1057	—	2	2	no	—
61	C₂×#1057	—	2	4	no	—
62	C₂×#1057	—	4	2	no	—
63	C₂×#1057	—	4	4	no	—
64	C₁₃×Q₁₆	—	2	8	no	—
65	C₂×C₈×C₁₃	—	2	2	no	—
66	C₂×C₈×C₁₃	C₂²⋊C₄	1	2	yes	—
67	C₄⋊Dic₁₃	—	2	2	no	—
68	C₄⋊Dic₁₃	—	2	2	no	—
69	C₄⋊Dic₁₃	—	4	2	no	—
70	C₄⋊Dic₁₃	—	4	2	no	—
71	C₄×Dic₁₃	—	4	2	no	—
72	C₄×Dic₁₃	—	4	2	no	—
73	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
74	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
75	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
76	C₄×Dic₁₃	#41	1	1	yes	characteristic
77	C₂×#1055	—	2	2	no	—
78	C₂×#1055	C₂²⋊C₄	1	2	yes	—
79	C₂×C₄×Q₁₆	—	13	1	no	—
80	#1984	—	13	2	no	—
81	C₂×#334	—	13	1	no	—
82	C₂×Q₈⋊C₈	—	13	2	no	—
83	C₂×#322	—	13	1	no	—
84	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
85	Q₈×C₁₃	—	2	4	no	—
86	Q₈×C₁₃	—	2	4	no	—
87	Q₈×C₁₃	—	4	2	no	—
88	Q₈×C₁₃	—	4	2	no	—
89	C₂×C₄×C₁₃	—	2	4	no	—
90	C₂×C₄×C₁₃	—	4	2	no	—
91	C₂×C₄×C₁₃	—	4	2	no	—
92	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
93	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
94	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
95	C₂×C₄×C₁₃	#131	1	2	yes	—
96	C₂×Dic₁₃	—	2	2	no	—
97	C₂×Dic₁₃	—	4	2	no	—
98	C₂×Dic₁₃	—	4	4	no	—
99	C₂×Dic₁₃	#121	1	1	yes	characteristic
100	C₂×Dic₁₃	#121	1	1	yes	characteristic
101	C₂×Dic₁₃	#124	1	1	yes	characteristic
102	C₂×Dic₁₃	#127	1	1	yes	characteristic
103	C₂×Dic₁₃	#137	1	4	yes	—
104	#1057	—	2	4	no	—
105	#1057	—	4	2	no	—
106	#1057	—	8	2	no	—
107	C₈×C₁₃	—	2	2	no	—
108	#1055	—	2	2	no	—
109	C₂²×Q₁₆	#261	1	1	yes	characteristic
110	C₂×C₄×Q₈	—	13	2	no	—
111	C₄×Q₁₆	—	26	2	no	—
112	C₄×Q₁₆	—	26	2	no	—
113	C₂×#107	—	13	1	no	—
114	C₂×C₄⋊C₈	—	13	2	no	—
115	C₂×#103	—	13	2	no	—
116	C₂×C₄×C₈	—	13	1	no	—
117	C₂×C₄×C₈	—	13	1	no	—
118	C₂×C₄×C₈	—	13	1	no	—
119	#336	—	26	4	no	—
120	#334	—	26	2	no	—
121	Q₈⋊C₈	—	26	4	no	—
122	#322	—	26	2	no	—
123	C₂²×C₁₃	#390	1	1	yes	characteristic
124	C₂²×C₁₃	#435	1	2	yes	—
125	C₂²×C₁₃	#441	1	2	yes	—
126	C₂²×C₁₃	#443	1	2	yes	—
127	C₄×C₁₃	—	4	4	no	—
128	C₄×C₁₃	#407	1	1	yes	characteristic
129	C₄×C₁₃	#408	1	1	yes	characteristic
130	C₄×C₁₃	#435	1	2	yes	—
131	Dic₁₃	—	2	1	no	—
132	Dic₁₃	—	2	1	no	—
133	Dic₁₃	—	8	2	no	—
134	Dic₁₃	#470	1	2	yes	—
135	Dic₁₃	#497	1	2	yes	—
136	C₂²×Q₈	C₂×#261	1	2	yes	—
137	C₂×Q₁₆	—	2	4	no	—
138	C₂×Q₁₆	—	2	2	no	—
139	C₂²×C₈	—	13	1	no	—
140	C₂²×C₈	—	13	2	no	—
141	C₂²×C₈	—	26	1	no	—
142	C₂²×C₈	—	26	2	no	—
143	C₂²×C₈	C₂×#261	1	1	yes	characteristic
144	C₄×Q₈	—	26	2	no	—
145	C₄×Q₈	—	26	2	no	—
146	C₄×Q₈	—	26	2	no	—
147	C₄×Q₈	—	26	2	no	—
148	C₂×C₄⋊C₄	—	13	2	no	—
149	C₂×C₄⋊C₄	—	26	2	no	—
150	C₂×C₄²	—	13	1	no	—
151	C₂×C₄²	—	26	2	no	—
152	#107	—	26	2	no	—
153	C₄⋊C₈	—	26	2	no	—
154	C₄⋊C₈	—	26	2	no	—
155	#103	—	26	4	no	—
156	C₄×C₈	—	13	2	no	—
157	C₄×C₈	—	13	2	no	—
158	C₄×C₈	—	13	2	no	—
159	C₄×C₈	—	26	1	no	—
160	C₄×C₈	—	26	1	no	—
161	C₄×C₈	—	26	1	no	—
162	C₂×C₁₃	#1587	1	4	yes	—
163	C₂×C₁₃	#1955	1	1	yes	characteristic
164	C₂×C₁₃	#1971	1	1	yes	characteristic
165	C₂×C₁₃	#1974	1	1	yes	characteristic
166	C₂×Q₈	—	2	2	no	—
167	C₂×Q₈	—	2	2	no	—
168	C₂×Q₈	—	2	2	no	—
169	C₂×Q₈	—	2	2	no	—
170	C₂×Q₈	—	2	2	no	—
171	C₂×Q₈	#6122	1	4	yes	—
172	C₂²×C₄	—	2	2	no	—
173	C₂²×C₄	—	13	1	no	—
174	C₂²×C₄	—	13	1	no	—
175	C₂²×C₄	—	26	2	no	—
176	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
177	Q₁₆	—	2	8	no	—
178	C₂×C₈	—	2	2	no	—
179	C₂×C₈	—	13	2	no	—
180	C₂×C₈	—	26	2	no	—
181	C₂×C₈	—	26	4	no	—
182	C₂×C₈	—	26	2	no	—
183	C₂×C₈	—	26	2	no	—
184	C₂×C₈	—	26	4	no	—
185	C₂×C₈	—	52	2	no	—
186	C₂×C₈	—	52	4	no	—
187	C₂×C₈	C₂²⋊#261	1	2	yes	—
188	C₄⋊C₄	—	26	2	no	—
189	C₄⋊C₄	—	26	2	no	—
190	C₄⋊C₄	—	52	2	no	—
191	C₄⋊C₄	—	52	2	no	—
192	C₄²	—	13	1	no	—
193	C₄²	—	13	1	no	—
194	C₄²	—	13	1	no	—
195	C₄²	—	13	1	no	—
196	C₄²	—	52	2	no	—
197	C₄²	—	52	2	no	—
198	C₁₃	#9664	1	1	yes	characteristic, complemented, Sylow
199	C₂³	D₄×#261	1	1	yes	characteristic
200	Q₈	—	2	4	no	—
201	Q₈	—	2	4	no	—
202	Q₈	—	4	2	no	—
203	Q₈	—	4	2	no	—
204	C₂×C₄	—	2	4	no	—
205	C₂×C₄	—	4	2	no	—
206	C₂×C₄	—	4	2	no	—
207	C₂×C₄	—	13	4	no	—
208	C₂×C₄	—	13	1	no	—
209	C₂×C₄	—	13	1	no	—
210	C₂×C₄	—	13	1	no	—
211	C₂×C₄	—	13	1	no	—
212	C₂×C₄	—	26	2	no	—
213	C₂×C₄	—	52	4	no	—
214	C₂×C₄	—	52	2	no	—
215	C₂×C₄	#88238	1	2	yes	—
216	C₂×C₄	D₄×#261	1	1	yes	characteristic
217	C₂×C₄	C₂×#6122	1	2	yes	—
218	C₂×C₄	C₂×C₂²⋊#261	1	1	yes	characteristic
219	C₈	—	2	2	no	—
220	C₈	—	26	4	no	—
221	C₈	—	26	2	no	—
222	C₈	—	52	2	no	—
223	C₈	—	104	2	no	—
224	C₂²	#11719110	1	2	yes	—
225	C₂²	#11719111	1	2	yes	—
226	C₂²	#11719144	1	2	yes	—
227	C₂²	#11719151	1	1	yes	characteristic
228	C₄	—	4	4	no	—
229	C₄	—	13	2	no	—
230	C₄	—	13	2	no	—
231	C₄	—	26	1	no	—
232	C₄	—	26	1	no	—
233	C₄	—	104	2	no	—
234	C₄	#11719144	1	2	yes	—
235	C₄	#11719147	1	1	yes	characteristic
236	C₄	#11719169	1	1	yes	characteristic
237	C₂	#13130461	1	4	yes	—
238	C₂	#13130960	1	1	yes	characteristic
239	C₂	#13130984	1	1	yes	characteristic
240	C₂	#13130987	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#13131005

C₂

yes

maximal

C₂×#11718255

C₂

yes

maximal, characteristic

C₂×Q₈⋊#1057

C₂

yes

maximal

C₂×#1057⋊C₈

C₂

yes

maximal, characteristic

C₂×Q₁₆×Dic₁₃

C₂

yes

maximal, characteristic

C₂²×C₁₃×Q₁₆

C₄

yes

characteristic

C₂×Q₈×Dic₁₃

C₂²

yes

—

C₂×C₄⋊#1057

C₂²

yes

—

C₂×C₄×#1057

C₂²

yes

characteristic

C₂×C₄×#1057

C₂²

yes

characteristic

C₂×#88075

C₄

yes

—

Q₁₆×Dic₁₃

—

Q₁₆×Dic₁₃

—

C₂×#88058

C₄

yes

characteristic

C₂×C₈×Dic₁₃

C₂²

yes

—

—

—

—

C₂²×Q₈×C₁₃

C₂×C₄

yes

—

C₂²×#1057

—

C₂²×#1057

—

C₂²×#1057

D₄

yes

—

C₂×C₁₃×Q₁₆

—

C₂×C₁₃×Q₁₆

—

C₂²×C₈×C₁₃

C₂×C₄

yes

characteristic

Q₈×Dic₁₃

—

Q₈×Dic₁₃

—

Q₈×Dic₁₃

—

Q₈×Dic₁₃

—

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

C₂×C₄

yes

—

C₂×C₄×Dic₁₃

—

C₂×C₄×Dic₁₃

C₂³

yes

characteristic

C₂²×#1055

C₂×C₄

yes

—

—

—

—

—

D₄

yes

—

#88075

—

#88058

—

C₈×Dic₁₃

D₄

yes

—

C₈×Dic₁₃

D₄

yes

—

#9664

—

maximal, Sylow

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

M₁₆

yes

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

C₂²×C₄

yes

characteristic

C₂²×Dic₁₃

—

C₂²×Dic₁₃

C₂×D₄

yes

C₂²×Dic₁₃

yes

—

—

—

—

—

—

C₁₃×Q₁₆

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

C₂²⋊C₄

yes

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄×Dic₁₃

—

C₄×Dic₁₃

—

C₄×Dic₁₃

C₂×D₄

yes

characteristic

C₄×Dic₁₃

C₂×D₄

yes

characteristic

C₄×Dic₁₃

C₂×D₄

yes

C₄×Dic₁₃

yes

—

C₂²⋊C₄

yes

—

C₂×C₄×Q₁₆

—

#1984

—

C₂×#334

—

C₂×Q₈⋊C₈

—

C₂×#322

—

C₂³×C₁₃

C₄×D₄

yes

characteristic

Q₈×C₁₃

—

Q₈×C₁₃

—

Q₈×C₁₃

—

Q₈×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₁₃

C₄×D₄

yes

characteristic

C₂×C₄×C₁₃

C₂×M₁₆

yes

—

C₂×C₄×C₁₃

#131

yes

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

#121

yes

characteristic

100

C₂×Dic₁₃

#121

yes

characteristic

101

C₂×Dic₁₃

#124

yes

characteristic

102

C₂×Dic₁₃

#127

yes

characteristic

103

C₂×Dic₁₃

#137

yes

—

104

#1057

—

105

#1057

—

106

#1057

—

107

C₈×C₁₃

—

108

#1055

—

109

C₂²×Q₁₆

#261

yes

characteristic

110

C₂×C₄×Q₈

—

111

C₄×Q₁₆

—

112

C₄×Q₁₆

—

113

C₂×#107

—

114

C₂×C₄⋊C₈

—

115

C₂×#103

—

116

C₂×C₄×C₈

—

117

C₂×C₄×C₈

—

118

C₂×C₄×C₈

—

119

#336

—

120

#334

—

121

Q₈⋊C₈

—

122

#322

—

123

C₂²×C₁₃

#390

yes

characteristic

124

C₂²×C₁₃

#435

yes

—

125

C₂²×C₁₃

#441

yes

—

126

C₂²×C₁₃

#443

yes

—

127

C₄×C₁₃

—

128

C₄×C₁₃

#407

yes

characteristic

129

C₄×C₁₃

#408

yes

characteristic

130

C₄×C₁₃

#435

yes

—

131

Dic₁₃

—

132

Dic₁₃

—

133

Dic₁₃

—

134

Dic₁₃

#470

yes

—

135

Dic₁₃

#497

yes

—

136

C₂²×Q₈

C₂×#261

yes

—

137

C₂×Q₁₆

—

138

C₂×Q₁₆

—

139

C₂²×C₈

—

140

C₂²×C₈

—

141

C₂²×C₈

—

142

C₂²×C₈

—

143

C₂²×C₈

C₂×#261

yes

characteristic

144

C₄×Q₈

—

145

C₄×Q₈

—

146

C₄×Q₈

—

147

C₄×Q₈

—

148

C₂×C₄⋊C₄

—

149

C₂×C₄⋊C₄

—

150

C₂×C₄²

—

151

C₂×C₄²

—

152

#107

—

153

C₄⋊C₈

—

154

C₄⋊C₈

—

155

#103

—

156

C₄×C₈

—

157

C₄×C₈

—

158

C₄×C₈

—

159

C₄×C₈

—

160

C₄×C₈

—

161

C₄×C₈

—

162

C₂×C₁₃

#1587

yes

—

163

C₂×C₁₃

#1955

yes

characteristic

164

C₂×C₁₃

#1971

yes

characteristic

165

C₂×C₁₃

#1974

yes

characteristic

166

C₂×Q₈

—

167

C₂×Q₈

—

168

C₂×Q₈

—

169

C₂×Q₈

—

170

C₂×Q₈

—

171

C₂×Q₈

#6122

yes

—

172

C₂²×C₄

—

173

C₂²×C₄

—

174

C₂²×C₄

—

175

C₂²×C₄

—

176

C₂²×C₄

C₂²×#261

yes

characteristic

177

Q₁₆

—

178

C₂×C₈

—

179

C₂×C₈

—

180

C₂×C₈

—

181

C₂×C₈

—

182

C₂×C₈

—

183

C₂×C₈

—

184

C₂×C₈

—

185

C₂×C₈

—

186

C₂×C₈

—

187

C₂×C₈

C₂²⋊#261

yes

—

188

C₄⋊C₄

—

189

C₄⋊C₄

—

190

C₄⋊C₄

—

191

C₄⋊C₄

—

192

C₄²

—

193

C₄²

—

194

C₄²

—

195

C₄²

—

196

C₄²

—

197

C₄²

—

198

C₁₃

#9664

yes

characteristic, complemented, Sylow

199

C₂³

D₄×#261

yes

characteristic

200

Q₈

—

201

Q₈

—

202

Q₈

—

203

Q₈

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

—

207

C₂×C₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

215

C₂×C₄

#88238

yes

—

216

C₂×C₄

D₄×#261

yes

characteristic

217

C₂×C₄

C₂×#6122

yes

—

218

C₂×C₄

C₂×C₂²⋊#261

yes

characteristic

219

C₈

—

220

C₈

—

221

C₈

—

222

C₈

—

223

C₈

—

104

—

224

C₂²

#11719110

yes

—

225

C₂²

#11719111

yes

—

226

C₂²

#11719144

yes

—

227

C₂²

#11719151

yes

characteristic

228

C₄

—

229

C₄

—

230

C₄

—

231

C₄

—

232

C₄

—

233

C₄

—

104

—

234

C₄

#11719144

yes

—

235

C₄

#11719147

yes

characteristic

236

C₄

#11719169

yes

characteristic

237

C₂

#13130461

yes

—

238

C₂

#13130960

yes

characteristic

239

C₂

#13130984

yes

characteristic

240

C₂

#13130987

yes

characteristic

	subgroup	G/H
center	C₂³	D₄×#261
commutator	C₂²×C₄×C₁₃	C₂²×C₄
Frattini	C₂²×C₄	C₂²×#261
Fitting	C₂²×C₁₃×Q₁₆	C₄
socle, prime radical	C₂³×C₁₃	C₄×D₄
cosocle	C₂×C₄×Dic₁₃	C₂³
hypercenter	C₂²×Q₁₆	#261
hypocenter	C₁₃	#9664
LCS	G ▷ C₂²×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×Q₁₆

subgroup

G/H

center

C₂³

D₄×#261

commutator

C₂²×C₄×C₁₃

C₂²×C₄

Frattini

C₂²×C₄

C₂²×#261

Fitting

C₂²×C₁₃×Q₁₆

C₄

socle, prime radical

C₂³×C₁₃

C₄×D₄

cosocle

C₂×C₄×Dic₁₃

C₂³

C₂²×Q₁₆

C₁₃

G ▷ C₂²×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×Q₁₆

N	H ≅ G/N	type
198. C₁₃	#9664	semidirect

H ≅ G/N

type

198. C₁₃

#9664

semidirect

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

subgroup	index
#13131005	2
C₂×#11718255	2
C₂×Q₈⋊#1057	2
C₂×#1057⋊C₈	2
C₂×Q₁₆×Dic₁₃	2
#9664	13

subgroup

index

#13131005

C₂×#11718255

C₂×Q₈⋊#1057

C₂×#1057⋊C₈

C₂×Q₁₆×Dic₁₃

#9664

Subgroups — #16784601

Conjugacy classes of subgroups

Complements

Maximal subgroups