Group #15779480 — subgroups

Subgroups — #15779480

Order 3328.

414 conjugacy classes of subgroups; only the 127 normal subgroups are shown.

normal subgroups only

This group has 414 conjugacy classes of subgroups — too many to draw. Only its 127 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×#11718767	C₂	1	1	yes	maximal, characteristic
2	C₂×#11718086	C₂	1	2	yes	maximal, complemented
3	#13116447	C₂	1	1	yes	maximal, characteristic
4	#13112936	C₂	1	2	yes	maximal, complemented
5	C₁₃×#1810	C₂	1	1	yes	maximal, characteristic
6	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
7	C₂×#88180	—	2	1	no	—
8	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
9	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
10	C₁₃×#407	—	2	1	no	—
11	#11718767	—	2	4	no	—
12	C₂×#88058	—	2	1	no	—
13	C₂×#88057	C₂²	1	2	yes	—
14	C₂×#88052	C₂²	1	2	yes	—
15	C₁₃×#341	—	2	1	no	—
16	C₂²⋊#6090	C₄	1	4	yes	complemented
17	#11718086	—	2	4	no	—
18	C₂³×C₄×C₁₃	D₄	1	1	yes	characteristic
19	C₂×C₁₃×M₁₆	—	2	1	no	—
20	C₂×C₁₃×M₁₆	—	2	1	no	—
21	C₂²×C₈×C₁₃	—	2	2	no	—
22	C₂²×C₈×C₁₃	—	2	2	no	—
23	C₂²×C₈×C₁₃	C₂×C₄	1	2	yes	—
24	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
25	C₂²×C₈×C₁₃	Q₈	1	2	yes	—
26	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
27	C₂×C₂²⋊Dic₁₃	—	4	1	no	—
28	#88180	—	2	4	no	—
29	#88180	—	4	2	no	—
30	C₂×C₄⋊Dic₁₃	—	2	2	no	—
31	C₂×C₄×Dic₁₃	—	4	1	no	—
32	C₁₃×#108	—	2	2	no	—
33	C₁₃×#108	—	2	2	no	—
34	C₁₃×C₂²⋊C₈	—	4	2	no	—
35	#88058	—	2	4	no	—
36	#88057	—	2	2	no	—
37	#88057	D₄	1	4	yes	—
38	#88052	—	2	2	no	—
39	#88052	—	2	2	no	—
40	C₂×#6090	C₂×C₄	1	4	yes	—
41	#12930	—	13	1	no	maximal, Sylow
42	C₂⁴×C₁₃	SD₁₆	1	1	yes	characteristic
43	C₂²×C₄×C₁₃	—	2	1	no	—
44	C₂²×C₄×C₁₃	—	2	1	no	—
45	C₂²×C₄×C₁₃	—	2	1	no	—
46	C₂²×C₄×C₁₃	—	2	1	no	—
47	C₂²×C₄×C₁₃	C₄⋊C₄	1	2	yes	—
48	C₂²×C₄×C₁₃	SD₁₆	1	2	yes	—
49	C₂²×C₄×C₁₃	SD₁₆	1	1	yes	characteristic
50	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
51	C₂²×Dic₁₃	—	4	2	no	—
52	C₁₃×M₁₆	—	4	1	no	—
53	C₁₃×M₁₆	—	4	1	no	—
54	C₁₃×M₁₆	—	4	1	no	—
55	C₁₃×M₁₆	—	4	1	no	—
56	C₂×C₈×C₁₃	—	2	1	no	—
57	C₂×C₈×C₁₃	—	2	1	no	—
58	C₂×C₈×C₁₃	—	2	4	no	—
59	C₂×C₈×C₁₃	—	2	4	no	—
60	C₂×C₈×C₁₃	—	4	1	no	—
61	C₂×C₈×C₁₃	—	4	1	no	—
62	C₂×C₈×C₁₃	C₄⋊C₄	1	2	yes	—
63	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
64	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
65	C₂×C₈×C₁₃	C₂×Q₈	1	1	yes	characteristic
66	C₂×C₈×C₁₃	#41	1	2	yes	—
67	C₂²⋊Dic₁₃	—	4	4	no	—
68	C₄⋊Dic₁₃	—	2	4	no	—
69	C₄⋊Dic₁₃	—	4	2	no	—
70	C₄×Dic₁₃	—	4	4	no	—
71	#6090	—	2	4	no	—
72	C₂×#427	—	13	1	no	—
73	C₂×#365	—	13	2	no	—
74	#2112	—	13	1	no	—
75	#1810	D₁₃	1	1	yes	characteristic
76	#1383	—	13	2	no	—
77	C₂³×C₁₃	—	2	1	no	—
78	C₂³×C₁₃	—	2	1	no	—
79	C₂³×C₁₃	—	4	2	no	—
80	C₂³×C₁₃	#106	1	2	yes	—
81	C₂³×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
82	C₂×C₄×C₁₃	—	2	1	no	—
83	C₂×C₄×C₁₃	—	2	1	no	—
84	C₂×C₄×C₁₃	—	2	2	no	—
85	C₂×C₄×C₁₃	—	2	2	no	—
86	C₂×C₄×C₁₃	—	2	2	no	—
87	C₂×C₄×C₁₃	—	2	2	no	—
88	C₂×C₄×C₁₃	#106	1	2	yes	—
89	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
90	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
91	C₂×C₄×C₁₃	#123	1	1	yes	characteristic
92	C₂×C₄×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
93	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
94	C₂×C₄×C₁₃	#137	1	1	yes	characteristic
95	C₂×Dic₁₃	—	4	4	no	—
96	C₂×Dic₁₃	—	8	4	no	—
97	C₈×C₁₃	—	2	2	no	—
98	C₈×C₁₃	—	8	1	no	—
99	C₈×C₁₃	—	8	1	no	—
100	C₈×C₁₃	C₄×D₄	1	2	yes	—
101	C₈×C₁₃	C₂²⋊Q₈	1	2	yes	—
102	C₂³×C₈	C₂×D₁₃	1	1	yes	characteristic
103	C₂×#117	—	26	1	no	—
104	C₂×M₃₂	—	13	2	no	—
105	C₂×#108	C₂×D₁₃	1	1	yes	characteristic
106	C₂×#108	C₂×D₁₃	1	1	yes	characteristic
107	#427	—	26	4	no	—
108	C₂×#107	—	26	1	no	—
109	C₂×#106	—	13	2	no	—
110	#407	—	2	1	no	—
111	#365	—	26	4	no	—
112	C₂²⋊C₁₆	—	13	4	no	—
113	#341	—	2	1	no	—
114	C₂²×C₁₃	—	2	2	no	—
115	C₂²×C₁₃	—	2	2	no	—
116	C₂²×C₁₃	—	2	4	no	—
117	C₂²×C₁₃	—	4	2	no	—
118	C₂²×C₁₃	—	4	2	no	—
119	C₂²×C₁₃	C₂×#106	1	1	yes	characteristic
120	C₂²×C₁₃	#450	1	1	yes	characteristic
121	C₂²×C₁₃	#483	1	1	yes	characteristic
122	C₄×C₁₃	—	2	2	no	—
123	C₄×C₁₃	#385	1	1	yes	characteristic
124	C₄×C₁₃	#428	1	1	yes	characteristic
125	C₄×C₁₃	#448	1	1	yes	characteristic
126	C₄×C₁₃	#481	1	1	yes	characteristic
127	Dic₁₃	—	8	4	no	—
128	C₂³×C₄	C₂²⋊D₁₃	1	1	yes	characteristic
129	C₂×M₁₆	—	2	1	no	—
130	C₂×M₁₆	—	2	1	no	—
131	C₂²×C₈	—	2	2	no	—
132	C₂²×C₈	—	2	2	no	—
133	C₂²×C₈	Dic₂₆	1	2	yes	—
134	C₂²×C₈	C₄×D₁₃	1	2	yes	—
135	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
136	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
137	#117	—	26	4	no	—
138	#117	—	52	2	no	—
139	C₂×C₄⋊C₄	—	26	2	no	—
140	C₂×C₂²⋊C₄	—	52	1	no	—
141	C₂×C₄²	—	52	1	no	—
142	M₃₂	—	26	2	no	—
143	M₃₂	—	26	2	no	—
144	C₂×C₁₆	—	13	4	no	—
145	#108	—	2	2	no	—
146	#108	—	2	2	no	—
147	#107	—	26	4	no	—
148	#106	—	13	4	no	—
149	#106	—	26	2	no	—
150	C₂²⋊C₈	—	4	2	no	—
151	C₂×C₁₃	—	2	1	no	—
152	C₂×C₁₃	—	2	1	no	—
153	C₂×C₁₃	—	4	2	no	—
154	C₂×C₁₃	#1853	1	1	yes	characteristic
155	C₂×C₁₃	#2155	1	2	yes	—
156	C₂⁴	#6106	1	1	yes	characteristic
157	C₂²×C₄	—	2	1	no	—
158	C₂²×C₄	—	2	1	no	—
159	C₂²×C₄	—	2	1	no	—
160	C₂²×C₄	—	2	1	no	—
161	C₂²×C₄	—	52	2	no	—
162	C₂²×C₄	#6101	1	2	yes	—
163	C₂²×C₄	#6105	1	2	yes	—
164	C₂²×C₄	#6106	1	1	yes	characteristic
165	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
166	M₁₆	—	4	1	no	—
167	M₁₆	—	4	1	no	—
168	M₁₆	—	4	1	no	—
169	M₁₆	—	4	1	no	—
170	C₂×C₈	—	2	1	no	—
171	C₂×C₈	—	2	1	no	—
172	C₂×C₈	—	2	4	no	—
173	C₂×C₈	—	2	4	no	—
174	C₂×C₈	—	4	1	no	—
175	C₂×C₈	—	4	1	no	—
176	C₂×C₈	#6101	1	2	yes	—
177	C₂×C₈	C₂×Dic₂₆	1	1	yes	characteristic
178	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
179	C₂×C₈	D₄×D₁₃	1	2	yes	—
180	C₂×C₈	#6129	1	2	yes	—
181	C₄⋊C₄	—	26	4	no	—
182	C₄⋊C₄	—	52	2	no	—
183	C₂²⋊C₄	—	52	4	no	—
184	C₄²	—	52	4	no	—
185	C₁₆	—	26	4	no	—
186	C₁₃	#12930	1	1	yes	characteristic, complemented, Sylow
187	C₂³	—	2	1	no	—
188	C₂³	—	2	1	no	—
189	C₂³	—	4	2	no	—
190	C₂³	#88048	1	2	yes	—
191	C₂³	C₂×#6106	1	1	yes	characteristic
192	C₂×C₄	—	2	1	no	—
193	C₂×C₄	—	2	1	no	—
194	C₂×C₄	—	2	2	no	—
195	C₂×C₄	—	2	2	no	—
196	C₂×C₄	—	2	2	no	—
197	C₂×C₄	—	2	2	no	—
198	C₂×C₄	—	52	4	no	—
199	C₂×C₄	—	104	4	no	—
200	C₂×C₄	#88048	1	2	yes	—
201	C₂×C₄	C₂×#6101	1	1	yes	characteristic
202	C₂×C₄	C₂×#6105	1	1	yes	characteristic
203	C₂×C₄	#88189	1	1	yes	characteristic
204	C₂×C₄	#88191	1	1	yes	characteristic
205	C₂×C₄	#88203	1	1	yes	characteristic
206	C₂×C₄	#88205	1	1	yes	characteristic
207	C₈	—	2	2	no	—
208	C₈	—	8	1	no	—
209	C₈	—	8	1	no	—
210	C₈	#88132	1	2	yes	—
211	C₈	#88135	1	2	yes	—
212	C₂²	—	2	2	no	—
213	C₂²	—	2	2	no	—
214	C₂²	—	2	4	no	—
215	C₂²	—	4	2	no	—
216	C₂²	—	4	2	no	—
217	C₂²	C₂×#88048	1	1	yes	characteristic
218	C₂²	#11718704	1	1	yes	characteristic
219	C₂²	#11718707	1	1	yes	characteristic
220	C₄	—	2	2	no	—
221	C₄	—	104	4	no	—
222	C₄	#11718607	1	1	yes	characteristic
223	C₄	#11718656	1	1	yes	characteristic
224	C₄	#11718695	1	1	yes	characteristic
225	C₄	#11718701	1	1	yes	characteristic
226	C₂	—	2	1	no	—
227	C₂	—	2	1	no	—
228	C₂	—	4	2	no	—
229	C₂	#13115028	1	1	yes	characteristic
230	C₂	#13116610	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#11718767

C₂

yes

maximal, characteristic

C₂×#11718086

C₂

yes

maximal, complemented

#13116447

C₂

yes

maximal, characteristic

#13112936

C₂

yes

maximal, complemented

C₁₃×#1810

C₂

yes

maximal, characteristic

C₂³×C₈×C₁₃

C₂²

yes

characteristic

C₂×#88180

—

C₂×C₁₃×#108

C₂²

yes

characteristic

C₂×C₁₃×#108

C₂²

yes

characteristic

C₁₃×#407

—

#11718767

—

C₂×#88058

—

C₂×#88057

C₂²

yes

—

C₂×#88052

C₂²

yes

—

C₁₃×#341

—

C₂²⋊#6090

C₄

yes

complemented

#11718086

—

C₂³×C₄×C₁₃

D₄

yes

characteristic

C₂×C₁₃×M₁₆

—

C₂×C₁₃×M₁₆

—

C₂²×C₈×C₁₃

—

C₂²×C₈×C₁₃

—

C₂²×C₈×C₁₃

C₂×C₄

yes

—

C₂²×C₈×C₁₃

D₄

yes

characteristic

C₂²×C₈×C₁₃

Q₈

yes

—

C₂²×C₈×C₁₃

C₂³

yes

characteristic

C₂×C₂²⋊Dic₁₃

—

#88180

—

#88180

—

C₂×C₄⋊Dic₁₃

—

C₂×C₄×Dic₁₃

—

C₁₃×#108

—

C₁₃×#108

—

C₁₃×C₂²⋊C₈

—

#88058

—

#88057

—

#88057

D₄

yes

—

#88052

—

#88052

—

C₂×#6090

C₂×C₄

yes

—

#12930

—

maximal, Sylow

C₂⁴×C₁₃

SD₁₆

yes

characteristic

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

C₄⋊C₄

yes

—

C₂²×C₄×C₁₃

SD₁₆

yes

—

C₂²×C₄×C₁₃

SD₁₆

yes

characteristic

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂²×Dic₁₃

—

C₁₃×M₁₆

—

C₁₃×M₁₆

—

C₁₃×M₁₆

—

C₁₃×M₁₆

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

C₄⋊C₄

yes

—

C₂×C₈×C₁₃

C₂²×C₄

yes

characteristic

C₂×C₈×C₁₃

C₂×D₄

yes

—

C₂×C₈×C₁₃

C₂×Q₈

yes

characteristic

C₂×C₈×C₁₃

#41

yes

—

C₂²⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

C₄×Dic₁₃

—

—

—

—

—

D₁₃

yes

characteristic

#1383

—

C₂³×C₁₃

—

C₂³×C₁₃

—

C₂³×C₁₃

—

C₂³×C₁₃

#106

yes

—

C₂³×C₁₃

C₂×SD₁₆

yes

characteristic

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

#106

yes

—

C₂×C₄×C₁₃

C₂×C₄⋊C₄

yes

C₂×C₄×C₁₃

yes

C₂×C₄×C₁₃

yes

C₂×C₄×C₁₃

C₂×SD₁₆

yes

C₂×C₄×C₁₃

yes

C₂×C₄×C₁₃

yes

C₂×Dic₁₃

—

C₂×Dic₁₃

—

C₈×C₁₃

—

C₈×C₁₃

—

C₈×C₁₃

—

100

C₈×C₁₃

C₄×D₄

yes

—

101

C₈×C₁₃

C₂²⋊Q₈

yes

—

102

C₂³×C₈

C₂×D₁₃

yes

characteristic

103

C₂×#117

—

104

C₂×M₃₂

—

105

C₂×#108

C₂×D₁₃

yes

characteristic

106

C₂×#108

C₂×D₁₃

yes

characteristic

107

#427

—

108

C₂×#107

—

109

C₂×#106

—

110

#407

—

111

#365

—

112

C₂²⋊C₁₆

—

113

#341

—

114

C₂²×C₁₃

—

115

C₂²×C₁₃

—

116

C₂²×C₁₃

—

117

C₂²×C₁₃

—

118

C₂²×C₁₃

—

119

C₂²×C₁₃

C₂×#106

yes

characteristic

120

C₂²×C₁₃

#450

yes

characteristic

121

C₂²×C₁₃

#483

yes

characteristic

122

C₄×C₁₃

—

123

C₄×C₁₃

#385

yes

characteristic

124

C₄×C₁₃

#428

yes

characteristic

125

C₄×C₁₃

#448

yes

characteristic

126

C₄×C₁₃

#481

yes

characteristic

127

Dic₁₃

—

128

C₂³×C₄

C₂²⋊D₁₃

yes

characteristic

129

C₂×M₁₆

—

130

C₂×M₁₆

—

131

C₂²×C₈

—

132

C₂²×C₈

—

133

C₂²×C₈

Dic₂₆

yes

—

134

C₂²×C₈

C₄×D₁₃

yes

—

135

C₂²×C₈

C₂²⋊D₁₃

yes

characteristic

136

C₂²×C₈

C₂²×D₁₃

yes

characteristic

137

#117

—

138

#117

—

139

C₂×C₄⋊C₄

—

140

C₂×C₂²⋊C₄

—

141

C₂×C₄²

—

142

M₃₂

—

143

M₃₂

—

144

C₂×C₁₆

—

145

#108

—

146

#108

—

147

#107

—

148

#106

—

149

#106

—

150

C₂²⋊C₈

—

151

C₂×C₁₃

—

152

C₂×C₁₃

—

153

C₂×C₁₃

—

154

C₂×C₁₃

#1853

yes

characteristic

155

C₂×C₁₃

#2155

yes

—

156

C₂⁴

#6106

yes

characteristic

157

C₂²×C₄

—

158

C₂²×C₄

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

—

162

C₂²×C₄

#6101

yes

—

163

C₂²×C₄

#6105

yes

—

164

C₂²×C₄

#6106

yes

characteristic

165

C₂²×C₄

C₂×C₂²⋊D₁₃

yes

characteristic

166

M₁₆

—

167

M₁₆

—

168

M₁₆

—

169

M₁₆

—

170

C₂×C₈

—

171

C₂×C₈

—

172

C₂×C₈

—

173

C₂×C₈

—

174

C₂×C₈

—

175

C₂×C₈

—

176

C₂×C₈

#6101

yes

—

177

C₂×C₈

C₂×Dic₂₆

yes

characteristic

178

C₂×C₈

C₂×C₄×D₁₃

yes

characteristic

179

C₂×C₈

D₄×D₁₃

yes

—

180

C₂×C₈

#6129

yes

—

181

C₄⋊C₄

—

182

C₄⋊C₄

—

183

C₂²⋊C₄

—

184

C₄²

—

185

C₁₆

—

186

C₁₃

#12930

yes

characteristic, complemented, Sylow

187

C₂³

—

188

C₂³

—

189

C₂³

—

190

C₂³

#88048

yes

—

191

C₂³

C₂×#6106

yes

characteristic

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

195

C₂×C₄

—

196

C₂×C₄

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

104

—

200

C₂×C₄

#88048

yes

—

201

C₂×C₄

C₂×#6101

yes

characteristic

202

C₂×C₄

C₂×#6105

yes

characteristic

203

C₂×C₄

#88189

yes

characteristic

204

C₂×C₄

#88191

yes

characteristic

205

C₂×C₄

#88203

yes

characteristic

206

C₂×C₄

#88205

yes

characteristic

207

C₈

—

208

C₈

—

209

C₈

—

210

C₈

#88132

yes

—

211

C₈

#88135

yes

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

215

C₂²

—

216

C₂²

—

217

C₂²

C₂×#88048

yes

characteristic

218

C₂²

#11718704

yes

characteristic

219

C₂²

#11718707

yes

characteristic

220

C₄

—

221

C₄

—

104

—

222

C₄

#11718607

yes

characteristic

223

C₄

#11718656

yes

characteristic

224

C₄

#11718695

yes

characteristic

225

C₄

#11718701

yes

characteristic

226

C₂

—

227

C₂

—

228

C₂

—

229

C₂

#13115028

yes

characteristic

230

C₂

#13116610

yes

—

	subgroup	G/H
center	C₂²	C₂×#88048
commutator	C₂×C₈×C₁₃	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₁₃
Fitting	C₁₃×#1810	C₂
socle	C₂²×C₁₃	C₂×#106
prime radical	C₂⁴×C₁₃	SD₁₆
cosocle	C₂²×C₈×C₁₃	C₂³
hypercenter	#1810	D₁₃
hypocenter	C₁₃	#12930
LCS	G ▷ C₂×C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ #1810

subgroup

G/H

center

C₂²

C₂×#88048

commutator

C₂×C₈×C₁₃

C₂²×C₄

Frattini

C₂²×C₈

C₂²×D₁₃

Fitting

C₁₃×#1810

C₂

socle

C₂²×C₁₃

C₂×#106

prime radical

C₂⁴×C₁₃

SD₁₆

cosocle

C₂²×C₈×C₁₃

C₂³

D₁₃

C₁₃

G ▷ C₂×C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂³×C₈ ◁ #1810

N	H ≅ G/N	type
2. C₂×#11718086	C₂	semidirect
4. #13112936	C₂	semidirect
16. C₂²⋊#6090	C₄	semidirect
186. C₁₃	#12930	semidirect

H ≅ G/N

type

2. C₂×#11718086

C₂

semidirect

4. #13112936

C₂

semidirect

16. C₂²⋊#6090

C₄

semidirect

186. C₁₃

#12930

semidirect

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

subgroup	index
C₂×#11718767	2
C₂×#11718086	2
#13116447	2
#13112936	2
C₁₃×#1810	2
#12930	13

subgroup

index

C₁₃×#1810

Subgroups — #15779480

Conjugacy classes of subgroups

Complements

Maximal subgroups