Group #15761956 — subgroups

Subgroups — #15761956

Order 3328.

478 conjugacy classes of subgroups; only the 159 normal subgroups are shown.

normal subgroups only

This group has 478 conjugacy classes of subgroups — too many to draw. Only its 159 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	#13123214	C₂	1	1	yes	maximal, characteristic
2	C₄×C₄⋊#1055	C₂	1	1	yes	maximal, characteristic
3	C₂×#11718073	C₂	1	2	yes	maximal
4	C₂×#11718074	C₂	1	2	yes	maximal
5	C₁₃×#1831	C₂	1	1	yes	maximal, characteristic
6	C₂×#88123	C₂²	1	1	yes	characteristic
7	C₂×#88123	C₂²	1	1	yes	characteristic
8	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
9	C₄³×C₁₃	C₂²	1	1	yes	characteristic
10	#11718597	—	2	1	no	—
11	#11718597	—	2	1	no	—
12	#11718590	—	2	2	no	—
13	#11718590	C₄	1	4	yes	—
14	C₂×C₄⋊#1055	C₂²	1	2	yes	—
15	C₂×C₄×#1055	—	2	1	no	—
16	C₁₃×#336	—	2	2	no	—
17	#11718116	—	2	1	no	—
18	#11718074	—	2	4	no	—
19	#11718073	—	2	4	no	—
20	C₂²×Dic₂₆	—	2	1	no	—
21	C₂²×Dic₂₆	C₂×C₄	1	2	yes	—
22	C₂²×C₈×C₁₃	—	2	2	no	—
23	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
24	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
25	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
26	C₂×C₄²×C₁₃	D₄	1	2	yes	—
27	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
28	C₂×C₄⋊Dic₁₃	—	2	1	no	—
29	C₂×C₄⋊Dic₁₃	—	2	1	no	—
30	C₂×C₄⋊Dic₁₃	—	2	1	no	—
31	C₂×C₄⋊Dic₁₃	C₂×C₄	1	2	yes	—
32	C₂²×#1055	—	2	2	no	—
33	#88123	—	2	2	no	—
34	#88123	—	2	2	no	—
35	#88123	—	2	2	no	—
36	#88123	—	2	2	no	—
37	C₁₃×C₄⋊C₈	—	2	2	no	—
38	C₁₃×C₄⋊C₈	—	2	2	no	—
39	#88071	—	2	4	no	—
40	#88071	—	2	4	no	—
41	C₄⋊#1055	—	2	2	no	—
42	C₄⋊#1055	D₄	1	4	yes	—
43	C₄×#1055	—	4	2	no	—
44	#9693	—	13	1	no	maximal, Sylow
45	C₂²×C₄×C₁₃	C₂²⋊C₄	1	2	yes	—
46	C₂²×C₄×C₁₃	C₂²⋊C₄	1	2	yes	—
47	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
48	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
49	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
50	C₂²×Dic₁₃	—	2	2	no	—
51	C₂²×Dic₁₃	—	2	2	no	—
52	C₂×Dic₂₆	—	2	4	no	—
53	C₂×Dic₂₆	—	4	1	no	—
54	C₂×Dic₂₆	—	4	1	no	—
55	C₂×Dic₂₆	—	4	4	no	—
56	C₂×Dic₂₆	—	4	4	no	—
57	C₂×C₈×C₁₃	—	4	2	no	—
58	C₂×C₈×C₁₃	—	4	4	no	—
59	C₄²×C₁₃	—	2	4	no	—
60	C₄²×C₁₃	—	2	2	no	—
61	C₄²×C₁₃	—	4	2	no	—
62	C₄²×C₁₃	SD₁₆	1	2	yes	—
63	C₄²×C₁₃	Q₁₆	1	2	yes	—
64	C₄²×C₁₃	C₂×D₄	1	2	yes	—
65	C₄²×C₁₃	#41	1	2	yes	—
66	C₄⋊Dic₁₃	—	2	4	no	—
67	C₄⋊Dic₁₃	—	4	2	no	—
68	C₄⋊Dic₁₃	—	4	2	no	—
69	C₄⋊Dic₁₃	—	4	1	no	—
70	C₄⋊Dic₁₃	—	4	1	no	—
71	C₂×#1055	—	2	4	no	—
72	C₂×#1055	—	4	2	no	—
73	C₂×#1055	—	4	2	no	—
74	#2862	—	13	1	no	—
75	#1831	D₁₃	1	1	yes	characteristic
76	C₄×C₄⋊C₈	—	13	1	no	—
77	C₂×#333	—	13	2	no	—
78	C₂×#332	—	13	2	no	—
79	C₂³×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
80	C₂×C₄×C₁₃	—	2	2	no	—
81	C₂×C₄×C₁₃	—	2	2	no	—
82	C₂×C₄×C₁₃	—	2	2	no	—
83	C₂×C₄×C₁₃	—	2	2	no	—
84	C₂×C₄×C₁₃	—	2	2	no	—
85	C₂×C₄×C₁₃	—	2	2	no	—
86	C₂×C₄×C₁₃	#103	1	4	yes	—
87	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
88	C₂×C₄×C₁₃	#121	1	2	yes	—
89	C₂×C₄×C₁₃	#124	1	1	yes	characteristic
90	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
91	C₂×C₄×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
92	C₂×C₄×C₁₃	C₂×Q₁₆	1	1	yes	characteristic
93	C₂×C₄×C₁₃	#135	1	4	yes	—
94	C₂×C₄×C₁₃	#137	1	2	yes	—
95	C₂×Dic₁₃	—	4	2	no	—
96	C₂×Dic₁₃	—	4	2	no	—
97	C₂×Dic₁₃	—	4	4	no	—
98	C₂×Dic₁₃	—	4	4	no	—
99	Dic₂₆	—	8	2	no	—
100	Dic₂₆	—	8	2	no	—
101	Dic₂₆	—	8	4	no	—
102	C₈×C₁₃	—	8	2	no	—
103	#1055	—	4	4	no	—
104	C₂×C₄⋊Q₈	—	13	1	no	—
105	C₂×C₄⋊Q₈	—	13	1	no	—
106	C₂×C₄⋊C₈	—	13	2	no	—
107	C₂×C₄⋊C₈	C₂×D₁₃	1	2	yes	—
108	C₂×C₄×C₈	—	26	1	no	—
109	#391	—	13	4	no	—
110	#391	—	26	2	no	—
111	#382	—	26	1	no	—
112	#382	—	26	1	no	—
113	C₄³	C₂×D₁₃	1	1	yes	characteristic
114	#336	—	2	2	no	—
115	#336	—	26	1	no	—
116	#333	—	26	4	no	—
117	#332	—	26	4	no	—
118	C₂²×C₁₃	#390	1	1	yes	characteristic
119	C₂²×C₁₃	#413	1	2	yes	—
120	C₂²×C₁₃	C₂×#103	1	1	yes	characteristic
121	C₂²×C₁₃	#416	1	2	yes	—
122	C₂²×C₁₃	#419	1	1	yes	characteristic
123	C₄×C₁₃	—	2	4	no	—
124	C₄×C₁₃	—	2	2	no	—
125	C₄×C₁₃	—	4	2	no	—
126	C₄×C₁₃	#461	1	2	yes	—
127	C₄×C₁₃	#462	1	2	yes	—
128	C₄×C₁₃	#488	1	2	yes	—
129	C₄×C₁₃	#495	1	2	yes	—
130	Dic₁₃	—	8	2	no	—
131	Dic₁₃	—	8	2	no	—
132	C₂²×Q₈	—	13	2	no	—
133	C₂²×Q₈	—	26	1	no	—
134	C₂²×C₈	—	2	2	no	—
135	C₂²×C₈	—	26	2	no	—
136	C₄⋊Q₈	—	26	2	no	—
137	C₄⋊Q₈	—	26	2	no	—
138	C₄⋊Q₈	—	26	2	no	—
139	C₄⋊Q₈	—	26	2	no	—
140	C₂×C₄⋊C₄	—	13	2	no	—
141	C₂×C₄⋊C₄	—	26	1	no	—
142	C₂×C₄⋊C₄	—	26	1	no	—
143	C₂×C₄⋊C₄	—	26	1	no	—
144	C₂×C₄²	C₄×D₁₃	1	2	yes	—
145	C₂×C₄²	D₅₂	1	1	yes	characteristic
146	C₂×C₄²	D₅₂	1	1	yes	characteristic
147	C₂×C₄²	C₂²⋊D₁₃	1	2	yes	—
148	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
149	C₄⋊C₈	—	2	2	no	—
150	C₄⋊C₈	—	2	2	no	—
151	C₄⋊C₈	—	13	4	no	—
152	C₄⋊C₈	—	26	2	no	—
153	C₄×C₈	—	52	2	no	—
154	#95	—	26	4	no	—
155	#95	—	26	4	no	—
156	C₂×C₁₃	#1542	1	2	yes	—
157	C₂×C₁₃	#1554	1	2	yes	—
158	C₂×C₁₃	#1958	1	1	yes	characteristic
159	C₂×C₁₃	#1967	1	1	yes	characteristic
160	C₂×C₁₃	#1981	1	1	yes	characteristic
161	C₂×Q₈	—	26	4	no	—
162	C₂×Q₈	—	52	4	no	—
163	C₂×Q₈	—	52	1	no	—
164	C₂×Q₈	—	52	1	no	—
165	C₂×Q₈	—	52	4	no	—
166	C₂²×C₄	—	26	2	no	—
167	C₂²×C₄	—	26	2	no	—
168	C₂²×C₄	#6103	1	2	yes	—
169	C₂²×C₄	#6103	1	2	yes	—
170	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
171	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
172	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
173	C₂×C₈	—	4	2	no	—
174	C₂×C₈	—	4	4	no	—
175	C₂×C₈	—	26	4	no	—
176	C₂×C₈	—	52	2	no	—
177	C₂×C₈	—	52	2	no	—
178	C₄⋊C₄	—	26	4	no	—
179	C₄⋊C₄	—	52	2	no	—
180	C₄⋊C₄	—	52	2	no	—
181	C₄⋊C₄	—	52	1	no	—
182	C₄⋊C₄	—	52	1	no	—
183	C₄²	—	2	2	no	—
184	C₄²	—	2	4	no	—
185	C₄²	—	4	2	no	—
186	C₄²	#6095	1	2	yes	—
187	C₄²	Dic₅₂	1	2	yes	—
188	C₄²	D₄×D₁₃	1	2	yes	—
189	C₄²	#6131	1	2	yes	—
190	C₁₃	#9693	1	1	yes	characteristic, complemented, Sylow
191	C₂³	C₂×#6103	1	1	yes	characteristic
192	Q₈	—	104	4	no	—
193	Q₈	—	104	2	no	—
194	Q₈	—	104	2	no	—
195	C₂×C₄	—	2	2	no	—
196	C₂×C₄	—	2	2	no	—
197	C₂×C₄	—	2	2	no	—
198	C₂×C₄	—	2	2	no	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	2	2	no	—
201	C₂×C₄	—	52	4	no	—
202	C₂×C₄	—	52	4	no	—
203	C₂×C₄	—	52	2	no	—
204	C₂×C₄	—	52	2	no	—
205	C₂×C₄	#88056	1	4	yes	—
206	C₂×C₄	#88147	1	2	yes	—
207	C₂×C₄	#88149	1	2	yes	—
208	C₂×C₄	C₂×#6095	1	1	yes	characteristic
209	C₂×C₄	C₂×Dic₅₂	1	1	yes	characteristic
210	C₂×C₄	#88163	1	2	yes	—
211	C₂×C₄	#88194	1	1	yes	characteristic
212	C₂×C₄	#88201	1	1	yes	characteristic
213	C₂×C₄	#88204	1	4	yes	—
214	C₈	—	8	2	no	—
215	C₈	—	52	4	no	—
216	C₂²	#11718649	1	1	yes	characteristic
217	C₂²	#11718663	1	2	yes	—
218	C₂²	C₂×#88056	1	1	yes	characteristic
219	C₂²	#11718781	1	1	yes	characteristic
220	C₂²	#11718793	1	2	yes	—
221	C₄	—	2	2	no	—
222	C₄	—	2	4	no	—
223	C₄	—	4	2	no	—
224	C₄	—	104	2	no	—
225	C₄	—	104	2	no	—
226	C₄	#11718502	1	2	yes	—
227	C₄	#11718510	1	2	yes	—
228	C₄	#11718720	1	2	yes	—
229	C₄	#11718729	1	2	yes	—
230	C₂	#13113491	1	2	yes	—
231	C₂	#13113547	1	2	yes	—
232	C₂	#13115645	1	1	yes	characteristic
233	C₂	#13115683	1	1	yes	characteristic
234	C₂	#13115758	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#13123214

C₂

yes

maximal, characteristic

C₄×C₄⋊#1055

C₂

yes

maximal, characteristic

C₂×#11718073

C₂

yes

maximal

C₂×#11718074

C₂

yes

maximal

C₁₃×#1831

C₂

yes

maximal, characteristic

C₂×#88123

C₂²

yes

characteristic

C₂×#88123

C₂²

yes

characteristic

C₂×C₁₃×C₄⋊C₈

C₂²

yes

—

C₄³×C₁₃

C₂²

yes

—

—

—

C₄

yes

—

C₂×C₄⋊#1055

C₂²

yes

—

C₂×C₄×#1055

—

C₁₃×#336

—

#11718116

—

#11718074

—

#11718073

—

C₂²×Dic₂₆

—

C₂²×Dic₂₆

C₂×C₄

yes

—

C₂²×C₈×C₁₃

—

C₂×C₄²×C₁₃

C₂×C₄

yes

—

C₂×C₄²×C₁₃

D₄

yes

characteristic

C₂×C₄²×C₁₃

D₄

yes

characteristic

C₂×C₄²×C₁₃

D₄

yes

—

C₂×C₄²×C₁₃

C₂³

yes

characteristic

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

C₂×C₄

yes

—

C₂²×#1055

—

—

—

—

—

C₁₃×C₄⋊C₈

—

C₁₃×C₄⋊C₈

—

—

—

—

D₄

yes

—

C₄×#1055

—

#9693

—

maximal, Sylow

C₂²×C₄×C₁₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₁₃

C₂²×C₄

yes

characteristic

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂²×Dic₁₃

—

C₂²×Dic₁₃

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×Dic₂₆

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₄²×C₁₃

—

C₄²×C₁₃

—

C₄²×C₁₃

—

C₄²×C₁₃

SD₁₆

yes

—

C₄²×C₁₃

Q₁₆

yes

—

C₄²×C₁₃

C₂×D₄

yes

—

C₄²×C₁₃

#41

yes

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

—

—

—

—

D₁₃

yes

characteristic

C₄×C₄⋊C₈

—

C₂×#333

—

C₂×#332

—

C₂³×C₁₃

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

#103

yes

—

C₂×C₄×C₁₃

C₄×D₄

yes

—

C₂×C₄×C₁₃

#121

yes

—

C₂×C₄×C₁₃

yes

C₂×C₄×C₁₃

yes

C₂×C₄×C₁₃

C₂×SD₁₆

yes

characteristic

C₂×C₄×C₁₃

C₂×Q₁₆

yes

characteristic

C₂×C₄×C₁₃

#135

yes

—

C₂×C₄×C₁₃

#137

yes

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₂×Dic₁₃

—

Dic₂₆

—

100

Dic₂₆

—

101

Dic₂₆

—

102

C₈×C₁₃

—

103

#1055

—

104

C₂×C₄⋊Q₈

—

105

C₂×C₄⋊Q₈

—

106

C₂×C₄⋊C₈

—

107

C₂×C₄⋊C₈

C₂×D₁₃

yes

—

108

C₂×C₄×C₈

—

109

#391

—

110

#391

—

111

#382

—

112

#382

—

113

C₄³

C₂×D₁₃

yes

characteristic

114

#336

—

115

#336

—

116

#333

—

117

#332

—

118

C₂²×C₁₃

#390

yes

characteristic

119

C₂²×C₁₃

#413

yes

—

120

C₂²×C₁₃

C₂×#103

yes

characteristic

121

C₂²×C₁₃

#416

yes

—

122

C₂²×C₁₃

#419

yes

characteristic

123

C₄×C₁₃

—

124

C₄×C₁₃

—

125

C₄×C₁₃

—

126

C₄×C₁₃

#461

yes

—

127

C₄×C₁₃

#462

yes

—

128

C₄×C₁₃

#488

yes

—

129

C₄×C₁₃

#495

yes

—

130

Dic₁₃

—

131

Dic₁₃

—

132

C₂²×Q₈

—

133

C₂²×Q₈

—

134

C₂²×C₈

—

135

C₂²×C₈

—

136

C₄⋊Q₈

—

137

C₄⋊Q₈

—

138

C₄⋊Q₈

—

139

C₄⋊Q₈

—

140

C₂×C₄⋊C₄

—

141

C₂×C₄⋊C₄

—

142

C₂×C₄⋊C₄

—

143

C₂×C₄⋊C₄

—

144

C₂×C₄²

C₄×D₁₃

yes

—

145

C₂×C₄²

D₅₂

yes

characteristic

146

C₂×C₄²

D₅₂

yes

characteristic

147

C₂×C₄²

C₂²⋊D₁₃

yes

—

148

C₂×C₄²

C₂²×D₁₃

yes

characteristic

149

C₄⋊C₈

—

150

C₄⋊C₈

—

151

C₄⋊C₈

—

152

C₄⋊C₈

—

153

C₄×C₈

—

154

#95

—

155

#95

—

156

C₂×C₁₃

#1542

yes

—

157

C₂×C₁₃

#1554

yes

—

158

C₂×C₁₃

#1958

yes

characteristic

159

C₂×C₁₃

#1967

yes

characteristic

160

C₂×C₁₃

#1981

yes

characteristic

161

C₂×Q₈

—

162

C₂×Q₈

—

163

C₂×Q₈

—

164

C₂×Q₈

—

165

C₂×Q₈

—

166

C₂²×C₄

—

167

C₂²×C₄

—

168

C₂²×C₄

#6103

yes

—

169

C₂²×C₄

#6103

yes

—

170

C₂²×C₄

C₂×C₄×D₁₃

yes

characteristic

171

C₂²×C₄

C₂×D₅₂

yes

characteristic

172

C₂²×C₄

C₂×C₂²⋊D₁₃

yes

characteristic

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

—

177

C₂×C₈

—

178

C₄⋊C₄

—

179

C₄⋊C₄

—

180

C₄⋊C₄

—

181

C₄⋊C₄

—

182

C₄⋊C₄

—

183

C₄²

—

184

C₄²

—

185

C₄²

—

186

C₄²

#6095

yes

—

187

C₄²

Dic₅₂

yes

—

188

C₄²

D₄×D₁₃

yes

—

189

C₄²

#6131

yes

—

190

C₁₃

#9693

yes

characteristic, complemented, Sylow

191

C₂³

C₂×#6103

yes

characteristic

192

Q₈

—

104

—

193

Q₈

—

104

—

194

Q₈

—

104

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

#88056

yes

—

206

C₂×C₄

#88147

yes

—

207

C₂×C₄

#88149

yes

—

208

C₂×C₄

C₂×#6095

yes

characteristic

209

C₂×C₄

C₂×Dic₅₂

yes

characteristic

210

C₂×C₄

#88163

yes

—

211

C₂×C₄

#88194

yes

characteristic

212

C₂×C₄

#88201

yes

characteristic

213

C₂×C₄

#88204

yes

—

214

C₈

—

215

C₈

—

216

C₂²

#11718649

yes

characteristic

217

C₂²

#11718663

yes

—

218

C₂²

C₂×#88056

yes

characteristic

219

C₂²

#11718781

yes

characteristic

220

C₂²

#11718793

yes

—

221

C₄

—

222

C₄

—

223

C₄

—

224

C₄

—

104

—

225

C₄

—

104

—

226

C₄

#11718502

yes

—

227

C₄

#11718510

yes

—

228

C₄

#11718720

yes

—

229

C₄

#11718729

yes

—

230

C₂

#13113491

yes

—

231

C₂

#13113547

yes

—

232

C₂

#13115645

yes

characteristic

233

C₂

#13115683

yes

characteristic

234

C₂

#13115758

yes

characteristic

	subgroup	G/H
center	C₂³	C₂×#6103
commutator	C₂²×C₄×C₁₃	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₁₃
Fitting	C₁₃×#1831	C₂
socle, prime radical	C₂³×C₁₃	C₂×C₂²⋊C₄
cosocle	C₂×C₄²×C₁₃	C₂³
hypercenter	#1831	D₁₃
hypocenter	C₁₃	#9693
LCS	G ▷ C₂²×C₄×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₄³ ◁ #1831

subgroup

G/H

center

C₂³

C₂×#6103

commutator

C₂²×C₄×C₁₃

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₁₃

Fitting

C₁₃×#1831

C₂

socle, prime radical

C₂³×C₁₃

C₂×C₂²⋊C₄

cosocle

C₂×C₄²×C₁₃

C₂³

D₁₃

C₁₃

G ▷ C₂²×C₄×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂³ ◁ C₄³ ◁ #1831

N	H ≅ G/N	type
190. C₁₃	#9693	semidirect

H ≅ G/N

type

190. C₁₃

#9693

semidirect

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

subgroup	index
#13123214	2
C₄×C₄⋊#1055	2
C₂×#11718073	2
C₂×#11718074	2
C₁₃×#1831	2
#9693	13

subgroup

index

C₄×C₄⋊#1055

C₁₃×#1831

Subgroups — #15761956

Conjugacy classes of subgroups

Complements

Maximal subgroups