Group #14672006 — subgroups

Subgroups — #14672006

Order 2816.

590 conjugacy classes of subgroups; only the 167 normal subgroups are shown.

normal subgroups only

This group has 590 conjugacy classes of subgroups — too many to draw. Only its 167 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	C₂×#10622200	C₂	1	4	yes	maximal, complemented
2	C₂×#10622099	C₂	1	1	yes	maximal, characteristic, complemented
3	#13068780	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₁×#493	C₂	1	1	yes	maximal, characteristic
5	C₂²×C₁₁×D₈	—	2	1	no	—
6	C₂²×C₁₁×D₈	C₂²	1	2	yes	—
7	C₂×C₁₁×#127	—	2	1	no	—
8	C₁₁×#493	—	2	2	no	—
9	C₁₁×#493	C₄	1	4	yes	complemented
10	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
11	C₂×#66882	C₂²	1	2	yes	—
12	C₂×#66881	—	2	1	no	—
13	C₂²×C₁₁⋊C₁₆	C₂²	1	2	yes	—
14	#10622549	—	2	1	no	—
15	#10622200	—	2	8	no	—
16	#10622099	—	2	2	no	—
17	C₂²×D₄×C₁₁	—	2	2	no	—
18	C₂²×D₄×C₁₁	—	4	2	no	—
19	C₂×C₁₁×D₈	—	2	4	no	—
20	C₂×C₁₁×D₈	—	2	4	no	—
21	C₂×C₁₁×D₈	—	2	2	no	—
22	C₂×C₁₁×D₈	—	2	4	no	—
23	C₂×C₁₁×D₈	—	4	2	no	—
24	C₂×C₁₁×D₈	—	4	2	no	—
25	C₂×C₁₁×D₈	C₂×C₄	1	4	yes	—
26	C₂²×C₈×C₁₁	D₄	1	1	yes	characteristic
27	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
28	C₁₁×#127	—	2	4	no	—
29	C₁₁×#127	—	4	2	no	—
30	C₂×C₄²×C₁₁	D₄	1	1	yes	characteristic
31	C₂×C₄⋊Dic₁₁	—	2	2	no	—
32	C₄×C₈×C₁₁	C₂×C₄	1	2	yes	—
33	C₄×C₈×C₁₁	D₄	1	2	yes	—
34	C₁₁⋊#95	—	4	2	no	—
35	#66882	—	2	4	no	—
36	#66881	—	4	2	no	—
37	C₂×C₁₁⋊C₁₆	—	2	2	no	—
38	C₂×C₁₁⋊C₁₆	—	2	2	no	—
39	C₂×C₁₁⋊C₁₆	D₄	1	4	yes	complemented
40	#13206	—	11	1	no	maximal, Sylow
41	C₂⁴×C₁₁	—	4	2	no	—
42	C₂×D₄×C₁₁	—	2	4	no	—
43	C₂×D₄×C₁₁	—	4	8	no	—
44	C₂×D₄×C₁₁	—	4	2	no	—
45	C₂×D₄×C₁₁	—	4	2	no	—
46	C₂×D₄×C₁₁	—	4	2	no	—
47	C₂×D₄×C₁₁	—	4	2	no	—
48	C₂×D₄×C₁₁	—	4	2	no	—
49	C₂×D₄×C₁₁	—	8	8	no	—
50	C₂²×C₄×C₁₁	D₈	1	2	yes	—
51	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
52	C₂²×Dic₁₁	—	4	2	no	—
53	C₁₁×D₈	—	2	8	no	—
54	C₁₁×D₈	—	4	8	no	—
55	C₁₁×D₈	—	4	4	no	—
56	C₂×C₈×C₁₁	C₂²⋊C₄	1	2	yes	—
57	C₂×C₈×C₁₁	D₈	1	2	yes	—
58	C₂×C₈×C₁₁	SD₁₆	1	2	yes	—
59	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
60	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
61	C₂×C₈×C₁₁	C₂×D₄	1	2	yes	—
62	C₂×C₈×C₁₁	#41	1	2	yes	—
63	C₄²×C₁₁	C₂²⋊C₄	1	2	yes	—
64	C₄²×C₁₁	SD₁₆	1	2	yes	—
65	C₄⋊Dic₁₁	—	4	2	no	—
66	C₄⋊Dic₁₁	—	4	2	no	—
67	C₁₁⋊C₁₆	—	2	4	no	—
68	C₂×#493	D₁₁	1	1	yes	characteristic
69	C₂×#357	—	11	4	no	—
70	C₂×#346	—	11	1	no	—
71	#1846	—	11	1	no	—
72	C₂³×C₁₁	—	4	4	no	—
73	C₂³×C₁₁	—	8	2	no	—
74	C₂³×C₁₁	—	8	2	no	—
75	C₂³×C₁₁	—	8	8	no	—
76	C₂³×C₁₁	C₂×D₈	1	1	yes	characteristic
77	D₄×C₁₁	—	4	4	no	—
78	D₄×C₁₁	—	4	4	no	—
79	D₄×C₁₁	—	8	16	no	—
80	D₄×C₁₁	—	8	2	no	—
81	D₄×C₁₁	—	8	2	no	—
82	C₂×C₄×C₁₁	—	2	4	no	—
83	C₂×C₄×C₁₁	#102	1	4	yes	—
84	C₂×C₄×C₁₁	C₂×C₂²⋊C₄	1	1	yes	characteristic
85	C₂×C₄×C₁₁	#124	1	1	yes	characteristic
86	C₂×C₄×C₁₁	#127	1	1	yes	characteristic
87	C₂×C₄×C₁₁	C₂×D₈	1	1	yes	characteristic
88	C₂×C₄×C₁₁	C₂×SD₁₆	1	1	yes	characteristic
89	C₂×C₄×C₁₁	C₂×SD₁₆	1	1	yes	characteristic
90	C₂×Dic₁₁	—	8	2	no	—
91	C₂×Dic₁₁	—	8	4	no	—
92	C₈×C₁₁	#102	1	4	yes	—
93	C₈×C₁₁	C₄×D₄	1	2	yes	—
94	C₈×C₁₁	#121	1	2	yes	—
95	C₂²×D₈	—	2	1	no	—
96	C₂²×D₈	C₂×D₁₁	1	2	yes	—
97	C₂×#127	—	2	1	no	—
98	C₂²×C₁₆	—	11	2	no	—
99	#493	—	2	2	no	—
100	#493	Dic₁₁	1	4	yes	complemented
101	C₂×#107	—	11	2	no	—
102	C₂×#106	—	22	1	no	—
103	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
104	#382	—	22	1	no	—
105	#357	—	22	8	no	—
106	#346	—	22	2	no	—
107	C₂²×C₁₁	—	8	8	no	—
108	C₂²×C₁₁	—	8	4	no	—
109	C₂²×C₁₁	—	16	4	no	—
110	C₂²×C₁₁	—	16	4	no	—
111	C₂²×C₁₁	C₂×#102	1	1	yes	characteristic
112	C₂²×C₁₁	#486	1	1	yes	characteristic
113	C₂²×C₁₁	#493	1	1	yes	characteristic
114	C₂²×C₁₁	#509	1	4	yes	—
115	C₄×C₁₁	—	2	4	no	—
116	C₄×C₁₁	#390	1	1	yes	characteristic
117	C₄×C₁₁	C₂×#102	1	1	yes	characteristic
118	C₄×C₁₁	#486	1	1	yes	characteristic
119	C₄×C₁₁	#492	1	1	yes	characteristic
120	Dic₁₁	—	16	2	no	—
121	C₂²×D₄	—	2	2	no	—
122	C₂²×D₄	—	4	2	no	—
123	C₂×D₈	—	2	4	no	—
124	C₂×D₈	—	2	4	no	—
125	C₂×D₈	—	2	4	no	—
126	C₂×D₈	—	2	2	no	—
127	C₂×D₈	—	4	2	no	—
128	C₂×D₈	—	4	2	no	—
129	C₂×D₈	C₂×Dic₁₁	1	4	yes	—
130	C₂²×C₈	C₂²⋊D₁₁	1	1	yes	characteristic
131	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
132	#127	—	2	4	no	—
133	#127	—	4	2	no	—
134	C₂×C₄⋊C₄	—	22	2	no	—
135	C₂×C₄²	C₂²⋊D₁₁	1	1	yes	characteristic
136	C₂×C₁₆	—	11	4	no	—
137	C₂×C₁₆	—	22	2	no	—
138	C₂×C₁₆	—	22	2	no	—
139	#107	—	22	4	no	—
140	#106	—	44	2	no	—
141	C₄×C₈	C₂×Dic₁₁	1	2	yes	—
142	C₄×C₈	C₂²⋊D₁₁	1	2	yes	—
143	#95	—	44	2	no	—
144	C₂×C₁₁	—	16	4	no	—
145	C₂×C₁₁	#1957	1	1	yes	characteristic
146	C₂×C₁₁	#2140	1	2	yes	—
147	C₂×C₁₁	#2244	1	2	yes	—
148	C₂×C₁₁	#2250	1	2	yes	—
149	C₂⁴	—	4	2	no	—
150	C₂×D₄	—	2	4	no	—
151	C₂×D₄	—	4	8	no	—
152	C₂×D₄	—	4	2	no	—
153	C₂×D₄	—	4	2	no	—
154	C₂×D₄	—	4	2	no	—
155	C₂×D₄	—	4	2	no	—
156	C₂×D₄	—	4	2	no	—
157	C₂×D₄	—	8	8	no	—
158	C₂²×C₄	—	44	2	no	—
159	C₂²×C₄	#4323	1	2	yes	—
160	C₂²×C₄	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
161	D₈	—	2	8	no	—
162	D₈	—	4	8	no	—
163	D₈	—	4	4	no	—
164	C₂×C₈	#4323	1	2	yes	—
165	C₂×C₈	#4324	1	2	yes	—
166	C₂×C₈	C₂²⋊Dic₁₁	1	2	yes	—
167	C₂×C₈	D₄×D₁₁	1	2	yes	—
168	C₂×C₈	#4341	1	2	yes	—
169	C₂×C₈	C₂²×Dic₁₁	1	1	yes	characteristic
170	C₂×C₈	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
171	C₄⋊C₄	—	44	2	no	—
172	C₄⋊C₄	—	44	2	no	—
173	C₄²	#4324	1	2	yes	—
174	C₄²	C₂²⋊Dic₁₁	1	2	yes	—
175	C₁₆	—	22	4	no	—
176	C₁₁	#13206	1	1	yes	characteristic, complemented, Sylow
177	C₂³	—	4	4	no	—
178	C₂³	—	8	8	no	—
179	C₂³	—	8	2	no	—
180	C₂³	—	8	2	no	—
181	C₂³	C₂×#4323	1	1	yes	characteristic
182	D₄	—	4	4	no	—
183	D₄	—	4	4	no	—
184	D₄	—	8	16	no	—
185	D₄	—	8	2	no	—
186	D₄	—	8	2	no	—
187	C₂×C₄	—	2	4	no	—
188	C₂×C₄	—	88	4	no	—
189	C₂×C₄	—	88	2	no	—
190	C₂×C₄	#66896	1	4	yes	—
191	C₂×C₄	C₂×#4323	1	1	yes	characteristic
192	C₂×C₄	C₂×#4324	1	1	yes	characteristic
193	C₂×C₄	C₂×#4324	1	1	yes	characteristic
194	C₂×C₄	#66989	1	1	yes	characteristic
195	C₂×C₄	#66993	1	1	yes	characteristic
196	C₂×C₄	C₂×C₂²⋊Dic₁₁	1	1	yes	characteristic
197	C₈	#66896	1	4	yes	—
198	C₈	D₄×Dic₁₁	1	2	yes	—
199	C₈	#66991	1	2	yes	—
200	C₂²	—	8	4	no	—
201	C₂²	—	8	8	no	—
202	C₂²	—	16	4	no	—
203	C₂²	—	16	4	no	—
204	C₂²	#10622683	1	1	yes	characteristic
205	C₂²	#10622686	1	1	yes	characteristic
206	C₂²	#10622760	1	4	yes	—
207	C₂²	C₂×#66896	1	1	yes	characteristic
208	C₄	—	2	4	no	—
209	C₄	—	176	2	no	—
210	C₄	#10622683	1	1	yes	characteristic
211	C₄	#10622689	1	1	yes	characteristic
212	C₄	C₂×#66896	1	1	yes	characteristic
213	C₄	#10622834	1	1	yes	characteristic
214	C₂	—	16	4	no	—
215	C₂	#13069423	1	1	yes	characteristic
216	C₂	#13070332	1	2	yes	—
217	C₂	#13070857	1	2	yes	—
218	C₂	#13070880	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#10622200

C₂

yes

maximal, complemented

C₂×#10622099

C₂

yes

maximal, characteristic, complemented

#13068780

C₂

yes

maximal, characteristic, complemented

C₂×C₁₁×#493

C₂

yes

maximal, characteristic

C₂²×C₁₁×D₈

—

C₂²×C₁₁×D₈

C₂²

yes

—

C₂×C₁₁×#127

—

C₁₁×#493

—

C₁₁×#493

C₄

yes

complemented

C₂×C₄×C₈×C₁₁

C₂²

yes

characteristic

C₂×#66882

C₂²

yes

—

C₂×#66881

—

C₂²×C₁₁⋊C₁₆

C₂²

yes

—

#10622549

—

#10622200

—

#10622099

—

C₂²×D₄×C₁₁

—

C₂²×D₄×C₁₁

—

C₂×C₁₁×D₈

—

C₂×C₁₁×D₈

—

C₂×C₁₁×D₈

—

C₂×C₁₁×D₈

—

C₂×C₁₁×D₈

—

C₂×C₁₁×D₈

—

C₂×C₁₁×D₈

C₂×C₄

yes

—

C₂²×C₈×C₁₁

D₄

yes

characteristic

C₂²×C₈×C₁₁

C₂³

yes

characteristic

C₁₁×#127

—

C₁₁×#127

—

C₂×C₄²×C₁₁

D₄

yes

characteristic

C₂×C₄⋊Dic₁₁

—

C₄×C₈×C₁₁

C₂×C₄

yes

—

C₄×C₈×C₁₁

D₄

yes

—

C₁₁⋊#95

—

#66882

—

#66881

—

C₂×C₁₁⋊C₁₆

—

C₂×C₁₁⋊C₁₆

—

C₂×C₁₁⋊C₁₆

D₄

yes

complemented

#13206

—

maximal, Sylow

C₂⁴×C₁₁

—

C₂×D₄×C₁₁

—

C₂×D₄×C₁₁

—

C₂×D₄×C₁₁

—

C₂×D₄×C₁₁

—

C₂×D₄×C₁₁

—

C₂×D₄×C₁₁

—

C₂×D₄×C₁₁

—

C₂×D₄×C₁₁

—

C₂²×C₄×C₁₁

D₈

yes

—

C₂²×C₄×C₁₁

C₂×D₄

yes

characteristic

C₂²×Dic₁₁

—

C₁₁×D₈

—

C₁₁×D₈

—

C₁₁×D₈

—

C₂×C₈×C₁₁

C₂²⋊C₄

yes

—

C₂×C₈×C₁₁

D₈

yes

—

C₂×C₈×C₁₁

SD₁₆

yes

—

C₂×C₈×C₁₁

C₂²×C₄

yes

characteristic

C₂×C₈×C₁₁

C₂×D₄

yes

characteristic

C₂×C₈×C₁₁

C₂×D₄

yes

—

C₂×C₈×C₁₁

#41

yes

—

C₄²×C₁₁

C₂²⋊C₄

yes

—

C₄²×C₁₁

SD₁₆

yes

—

C₄⋊Dic₁₁

—

C₄⋊Dic₁₁

—

C₁₁⋊C₁₆

—

C₂×#493

D₁₁

yes

—

—

—

C₂³×C₁₁

—

C₂³×C₁₁

—

C₂³×C₁₁

—

C₂³×C₁₁

—

C₂³×C₁₁

C₂×D₈

yes

characteristic

D₄×C₁₁

—

D₄×C₁₁

—

D₄×C₁₁

—

D₄×C₁₁

—

D₄×C₁₁

—

C₂×C₄×C₁₁

—

C₂×C₄×C₁₁

#102

yes

—

C₂×C₄×C₁₁

C₂×C₂²⋊C₄

yes

C₂×C₄×C₁₁

yes

C₂×C₄×C₁₁

yes

C₂×C₄×C₁₁

C₂×D₈

yes

characteristic

C₂×C₄×C₁₁

C₂×SD₁₆

yes

characteristic

C₂×C₄×C₁₁

C₂×SD₁₆

yes

characteristic

C₂×Dic₁₁

—

C₂×Dic₁₁

—

C₈×C₁₁

#102

yes

—

C₈×C₁₁

C₄×D₄

yes

—

C₈×C₁₁

#121

yes

—

C₂²×D₈

—

C₂²×D₈

C₂×D₁₁

yes

—

C₂×#127

—

C₂²×C₁₆

—

#493

—

100

#493

Dic₁₁

yes

complemented

101

C₂×#107

—

102

C₂×#106

—

103

C₂×C₄×C₈

C₂×D₁₁

yes

characteristic

104

#382

—

105

#357

—

106

#346

—

107

C₂²×C₁₁

—

108

C₂²×C₁₁

—

109

C₂²×C₁₁

—

110

C₂²×C₁₁

—

111

C₂²×C₁₁

C₂×#102

yes

characteristic

112

C₂²×C₁₁

#486

yes

characteristic

113

C₂²×C₁₁

#493

yes

characteristic

114

C₂²×C₁₁

#509

yes

—

115

C₄×C₁₁

—

116

C₄×C₁₁

#390

yes

characteristic

117

C₄×C₁₁

C₂×#102

yes

characteristic

118

C₄×C₁₁

#486

yes

characteristic

119

C₄×C₁₁

#492

yes

characteristic

120

Dic₁₁

—

121

C₂²×D₄

—

122

C₂²×D₄

—

123

C₂×D₈

—

124

C₂×D₈

—

125

C₂×D₈

—

126

C₂×D₈

—

127

C₂×D₈

—

128

C₂×D₈

—

129

C₂×D₈

C₂×Dic₁₁

yes

—

130

C₂²×C₈

C₂²⋊D₁₁

yes

characteristic

131

C₂²×C₈

C₂²×D₁₁

yes

characteristic

132

#127

—

133

#127

—

134

C₂×C₄⋊C₄

—

135

C₂×C₄²

C₂²⋊D₁₁

yes

characteristic

136

C₂×C₁₆

—

137

C₂×C₁₆

—

138

C₂×C₁₆

—

139

#107

—

140

#106

—

141

C₄×C₈

C₂×Dic₁₁

yes

—

142

C₄×C₈

C₂²⋊D₁₁

yes

—

143

#95

—

144

C₂×C₁₁

—

145

C₂×C₁₁

#1957

yes

characteristic

146

C₂×C₁₁

#2140

yes

—

147

C₂×C₁₁

#2244

yes

—

148

C₂×C₁₁

#2250

yes

—

149

C₂⁴

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂×D₄

—

153

C₂×D₄

—

154

C₂×D₄

—

155

C₂×D₄

—

156

C₂×D₄

—

157

C₂×D₄

—

158

C₂²×C₄

—

159

C₂²×C₄

#4323

yes

—

160

C₂²×C₄

C₂×C₂²⋊D₁₁

yes

characteristic

161

D₈

—

162

D₈

—

163

D₈

—

164

C₂×C₈

#4323

yes

—

165

C₂×C₈

#4324

yes

—

166

C₂×C₈

C₂²⋊Dic₁₁

yes

—

167

C₂×C₈

D₄×D₁₁

yes

—

168

C₂×C₈

#4341

yes

—

169

C₂×C₈

C₂²×Dic₁₁

yes

characteristic

170

C₂×C₈

C₂×C₂²⋊D₁₁

yes

characteristic

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄²

#4324

yes

—

174

C₄²

C₂²⋊Dic₁₁

yes

—

175

C₁₆

—

176

C₁₁

#13206

yes

characteristic, complemented, Sylow

177

C₂³

—

178

C₂³

—

179

C₂³

—

180

C₂³

—

181

C₂³

C₂×#4323

yes

characteristic

182

D₄

—

183

D₄

—

184

D₄

—

185

D₄

—

186

D₄

—

187

C₂×C₄

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

#66896

yes

—

191

C₂×C₄

C₂×#4323

yes

characteristic

192

C₂×C₄

C₂×#4324

yes

characteristic

193

C₂×C₄

C₂×#4324

yes

characteristic

194

C₂×C₄

#66989

yes

characteristic

195

C₂×C₄

#66993

yes

characteristic

196

C₂×C₄

C₂×C₂²⋊Dic₁₁

yes

characteristic

197

C₈

#66896

yes

—

198

C₈

D₄×Dic₁₁

yes

—

199

C₈

#66991

yes

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

—

204

C₂²

#10622683

yes

characteristic

205

C₂²

#10622686

yes

characteristic

206

C₂²

#10622760

yes

—

207

C₂²

C₂×#66896

yes

characteristic

208

C₄

—

209

C₄

—

176

—

210

C₄

#10622683

yes

characteristic

211

C₄

#10622689

yes

characteristic

212

C₄

C₂×#66896

yes

characteristic

213

C₄

#10622834

yes

characteristic

214

C₂

—

215

C₂

#13069423

yes

characteristic

216

C₂

#13070332

yes

—

217

C₂

#13070857

yes

—

218

C₂

#13070880

yes

—

	subgroup	G/H
center	C₂³	C₂×#4323
commutator	C₂×C₈×C₁₁	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₁₁
Fitting, prime radical	C₂×C₁₁×#493	C₂
socle	C₂³×C₁₁	C₂×D₈
cosocle	C₂²×C₈×C₁₁	C₂³
hypercenter	C₂×#493	D₁₁
hypocenter	C₁₁	#13206
LCS	G ▷ C₂×C₈×C₁₁ ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₂×#493

subgroup

G/H

center

C₂³

C₂×#4323

commutator

C₂×C₈×C₁₁

C₂²×C₄

Frattini

C₂²×C₈

C₂²×D₁₁

Fitting, prime radical

C₂×C₁₁×#493

C₂

socle

C₂³×C₁₁

C₂×D₈

cosocle

C₂²×C₈×C₁₁

C₂³

D₁₁

C₁₁

G ▷ C₂×C₈×C₁₁ ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₂×#493

N	H ≅ G/N	type
1. C₂×#10622200	C₂	semidirect
2. C₂×#10622099	C₂	semidirect
3. #13068780	C₂	semidirect
9. C₁₁×#493	C₄	semidirect
39. C₂×C₁₁⋊C₁₆	D₄	semidirect
100. #493	Dic₁₁	semidirect
176. C₁₁	#13206	semidirect

H ≅ G/N

type

1. C₂×#10622200

C₂

semidirect

2. C₂×#10622099

C₂

semidirect

3. #13068780

C₂

semidirect

9. C₁₁×#493

C₄

semidirect

39. C₂×C₁₁⋊C₁₆

D₄

semidirect

100. #493

Dic₁₁

semidirect

176. C₁₁

#13206

semidirect

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

subgroup	index
C₂×#10622200	2
C₂×#10622099	2
#13068780	2
C₂×C₁₁×#493	2
#13206	11

subgroup

index

C₂×C₁₁×#493

Subgroups — #14672006

Conjugacy classes of subgroups

Complements

Maximal subgroups