Group #16015890 — subgroups

Subgroups — #16015890

Order 3328.

1102 conjugacy classes of subgroups; only the 391 normal subgroups are shown.

normal subgroups only

This group has 1102 conjugacy classes of subgroups — too many to draw. Only its 391 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	#13127939	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123447	C₂	1	1	yes	maximal, characteristic, complemented
3	#13116585	C₂	1	6	yes	maximal, complemented
4	C₂×#11718157	C₂	1	6	yes	maximal, complemented
5	C₂×C₁₃×#578	C₂	1	1	yes	maximal, characteristic
6	C₂×C₁₃×2₋¹⁺⁴	—	2	1	no	—
7	C₁₃×#578	—	2	4	no	—
8	C₁₃×#578	C₄	1	8	yes	—
9	C₂×C₁₃×#137	—	2	3	no	—
10	C₂×C₁₃×#135	C₂²	1	3	yes	—
11	C₂²×C₁₃×Q₁₆	C₂²	1	3	yes	—
12	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
13	#11719524	—	2	1	no	—
14	#11718801	—	2	4	no	—
15	#11718786	—	2	3	no	—
16	C₂×#88059	C₂²	1	6	yes	—
17	C₂×#88052	C₂²	1	6	yes	—
18	#11718157	C₂²	1	12	yes	—
19	#11718155	C₂²	1	4	yes	—
20	C₁₃×2₋¹⁺⁴	—	2	8	no	—
21	C₁₃×2₋¹⁺⁴	—	4	4	no	—
22	C₂×C₁₃×#41	—	2	3	no	—
23	C₂×C₁₃×#41	—	4	3	no	—
24	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
25	C₂²×Q₈×C₁₃	—	2	3	no	—
26	C₂²×Q₈×C₁₃	—	4	1	no	—
27	C₁₃×#137	—	2	24	no	—
28	C₁₃×#135	—	2	6	no	—
29	C₁₃×#135	C₂×C₄	1	12	yes	—
30	C₂×C₁₃×Q₁₆	—	2	3	no	—
31	C₂×C₁₃×Q₁₆	—	2	6	no	—
32	C₂×C₁₃×Q₁₆	C₂×C₄	1	12	yes	—
33	C₂×C₁₃×Q₁₆	C₂³	1	3	yes	—
34	C₂×C₁₃×SD₁₆	—	2	3	no	—
35	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
36	C₁₃×#131	C₂×C₄	1	4	yes	—
37	C₁₃×#131	D₄	1	4	yes	—
38	C₂×C₁₃×M₁₆	D₄	1	3	yes	—
39	C₂²×C₈×C₁₃	C₂³	1	3	yes	—
40	#88202	—	4	4	no	—
41	C₂×#6099	—	2	6	no	—
42	#88059	—	2	6	no	—
43	#88059	C₂³	1	4	yes	—
44	#88052	—	2	6	no	—
45	#88052	C₂³	1	4	yes	—
46	C₂×#6090	—	2	6	no	—
47	#33393	—	13	1	no	maximal, Sylow
48	C₁₃×#41	—	2	12	no	—
49	C₁₃×#41	—	4	24	no	—
50	C₁₃×#41	—	4	6	no	—
51	C₁₃×#41	C₂²⋊C₄	1	4	yes	—
52	C₁₃×#41	D₈	1	4	yes	—
53	C₂×Q₈×C₁₃	—	2	12	no	—
54	C₂×Q₈×C₁₃	—	2	3	no	—
55	C₂×Q₈×C₁₃	—	4	8	no	—
56	C₂×Q₈×C₁₃	—	4	6	no	—
57	C₂×Q₈×C₁₃	—	4	3	no	—
58	C₂×Q₈×C₁₃	SD₁₆	1	1	yes	characteristic
59	C₂×D₄×C₁₃	—	2	1	no	—
60	C₂×D₄×C₁₃	—	4	3	no	—
61	C₂×D₄×C₁₃	SD₁₆	1	3	yes	—
62	C₂²×C₄×C₁₃	—	4	3	no	—
63	C₂²×C₄×C₁₃	—	4	3	no	—
64	C₂²×C₄×C₁₃	C₂×D₄	1	3	yes	—
65	C₁₃×Q₁₆	—	2	12	no	—
66	C₁₃×Q₁₆	—	2	3	no	—
67	C₁₃×Q₁₆	C₂²×C₄	1	6	yes	—
68	C₁₃×SD₁₆	—	2	12	no	—
69	C₁₃×D₈	—	2	1	no	—
70	C₁₃×D₈	C₂²×C₄	1	2	yes	—
71	C₁₃×M₁₆	C₂²⋊C₄	1	12	yes	—
72	C₂×C₈×C₁₃	C₂²×C₄	1	6	yes	—
73	C₂×C₈×C₁₃	C₂×D₄	1	3	yes	—
74	C₂×C₈×C₁₃	C₂×D₄	1	6	yes	—
75	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
76	#6099	—	2	4	no	—
77	#6099	—	4	6	no	—
78	C₂×#1055	—	4	6	no	—
79	#6090	—	2	4	no	—
80	C₂×#578	D₁₃	1	1	yes	characteristic
81	#3407	—	13	1	no	—
82	#2916	—	13	1	no	—
83	#2148	—	13	6	no	—
84	C₂×#362	—	13	6	no	—
85	C₂³×C₁₃	—	4	1	no	—
86	C₂³×C₁₃	C₂×SD₁₆	1	3	yes	—
87	Q₈×C₁₃	—	2	6	no	—
88	Q₈×C₁₃	—	4	3	no	—
89	Q₈×C₁₃	—	4	12	no	—
90	Q₈×C₁₃	#102	1	4	yes	—
91	D₄×C₁₃	—	2	2	no	—
92	D₄×C₁₃	—	4	12	no	—
93	D₄×C₁₃	—	4	1	no	—
94	D₄×C₁₃	#102	1	12	yes	—
95	C₂×C₄×C₁₃	—	4	3	no	—
96	C₂×C₄×C₁₃	—	4	12	no	—
97	C₂×C₄×C₁₃	—	4	12	no	—
98	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	6	yes	—
99	C₂×C₄×C₁₃	C₂×D₈	1	6	yes	—
100	C₂×C₄×C₁₃	C₂×SD₁₆	1	3	yes	—
101	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
102	C₈×C₁₃	C₂×C₂²⋊C₄	1	6	yes	—
103	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
104	C₈×C₁₃	C₂²×D₄	1	1	yes	characteristic
105	#1055	—	4	4	no	—
106	C₂×2₋¹⁺⁴	—	2	1	no	—
107	#578	—	2	4	no	—
108	#578	Dic₁₃	1	8	yes	—
109	C₂×#137	—	2	3	no	—
110	C₂×#135	C₂×D₁₃	1	3	yes	—
111	C₂²×Q₁₆	C₂×D₁₃	1	3	yes	—
112	#568	—	26	1	no	—
113	C₂×#131	C₂×D₁₃	1	1	yes	characteristic
114	#504	—	26	4	no	—
115	C₂×M₃₂	—	13	6	no	—
116	#430	—	26	3	no	—
117	C₂×#108	—	13	6	no	—
118	#362	—	13	12	no	—
119	#361	—	13	4	no	—
120	C₂²×C₁₃	—	4	3	no	—
121	C₂²×C₁₃	—	4	2	no	—
122	C₂²×C₁₃	—	8	2	no	—
123	C₂²×C₁₃	C₂×#102	1	6	yes	—
124	C₂²×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
125	C₄×C₁₃	—	4	6	no	—
126	C₄×C₁₃	C₂×#102	1	6	yes	—
127	C₄×C₁₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
128	C₄×C₁₃	C₂²×D₈	1	1	yes	characteristic
129	2₋¹⁺⁴	—	2	8	no	—
130	2₋¹⁺⁴	—	4	4	no	—
131	C₂×#41	—	2	3	no	—
132	C₂×#41	—	4	3	no	—
133	C₂×#41	C₂²⋊D₁₃	1	1	yes	characteristic
134	C₂²×Q₈	—	2	3	no	—
135	C₂²×Q₈	—	4	1	no	—
136	#137	—	2	24	no	—
137	#135	—	2	6	no	—
138	#135	C₂×Dic₁₃	1	12	yes	—
139	C₂×Q₁₆	—	2	3	no	—
140	C₂×Q₁₆	—	2	6	no	—
141	C₂×Q₁₆	C₂×Dic₁₃	1	12	yes	—
142	C₂×Q₁₆	C₂²×D₁₃	1	3	yes	—
143	C₂×SD₁₆	—	2	3	no	—
144	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
145	#131	—	52	4	no	—
146	#131	C₂×Dic₁₃	1	4	yes	—
147	#131	C₂²⋊D₁₃	1	4	yes	—
148	C₂×M₁₆	—	26	6	no	—
149	C₂×M₁₆	C₂²⋊D₁₃	1	3	yes	—
150	C₂²×C₈	C₂²×D₁₃	1	3	yes	—
151	M₃₂	—	13	4	no	—
152	M₃₂	—	26	6	no	—
153	C₂×C₁₆	—	26	6	no	—
154	#108	—	13	4	no	—
155	#108	—	26	6	no	—
156	C₂×C₁₃	—	2	1	no	—
157	C₂×C₁₃	—	2	6	no	—
158	C₂×C₁₃	—	8	2	no	—
159	C₂×C₁₃	C₂²×#102	1	1	yes	characteristic
160	#41	—	2	12	no	—
161	#41	—	4	24	no	—
162	#41	—	4	6	no	—
163	#41	#6104	1	4	yes	—
164	#41	C₂²⋊Dic₁₃	1	4	yes	—
165	C₂×Q₈	—	2	12	no	—
166	C₂×Q₈	—	2	3	no	—
167	C₂×Q₈	—	4	8	no	—
168	C₂×Q₈	—	4	6	no	—
169	C₂×Q₈	—	4	3	no	—
170	C₂×Q₈	#6105	1	1	yes	characteristic
171	C₂×D₄	—	2	1	no	—
172	C₂×D₄	—	4	3	no	—
173	C₂×D₄	#6105	1	3	yes	—
174	C₂²×C₄	—	4	3	no	—
175	C₂²×C₄	—	4	3	no	—
176	C₂²×C₄	C₂×C₂²⋊D₁₃	1	3	yes	—
177	Q₁₆	—	2	12	no	—
178	Q₁₆	—	2	3	no	—
179	Q₁₆	C₂²×Dic₁₃	1	6	yes	—
180	SD₁₆	—	2	12	no	—
181	D₈	—	2	1	no	—
182	D₈	C₂²×Dic₁₃	1	2	yes	—
183	M₁₆	—	26	4	no	—
184	M₁₆	—	52	6	no	—
185	M₁₆	C₂²⋊Dic₁₃	1	12	yes	—
186	C₂×C₈	—	52	6	no	—
187	C₂×C₈	C₂²×Dic₁₃	1	6	yes	—
188	C₂×C₈	C₂×C₂²⋊D₁₃	1	3	yes	—
189	C₂×C₈	C₂×C₂²⋊D₁₃	1	6	yes	—
190	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
191	C₁₆	—	26	4	no	—
192	C₁₃	#33393	1	1	yes	characteristic, complemented, Sylow
193	C₂³	—	4	1	no	—
194	C₂³	C₂×#6105	1	3	yes	—
195	Q₈	—	2	6	no	—
196	Q₈	—	4	3	no	—
197	Q₈	—	4	12	no	—
198	Q₈	#88072	1	4	yes	—
199	D₄	—	2	2	no	—
200	D₄	—	4	12	no	—
201	D₄	—	4	1	no	—
202	D₄	#88072	1	12	yes	—
203	C₂×C₄	—	4	3	no	—
204	C₂×C₄	—	4	12	no	—
205	C₂×C₄	—	4	12	no	—
206	C₂×C₄	C₂×#6104	1	6	yes	—
207	C₂×C₄	C₂×#6105	1	3	yes	—
208	C₂×C₄	C₂×C₂²⋊Dic₁₃	1	6	yes	—
209	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
210	C₈	—	52	4	no	—
211	C₈	C₂×C₂²⋊Dic₁₃	1	6	yes	—
212	C₈	C₂³×Dic₁₃	1	1	yes	characteristic
213	C₈	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
214	C₂²	—	4	3	no	—
215	C₂²	—	4	2	no	—
216	C₂²	—	8	2	no	—
217	C₂²	C₂×#88072	1	6	yes	—
218	C₂²	C₂²×#6105	1	1	yes	characteristic
219	C₄	—	4	6	no	—
220	C₄	C₂×#88072	1	6	yes	—
221	C₄	C₂²×#6104	1	1	yes	characteristic
222	C₄	C₂²×C₂²⋊Dic₁₃	1	1	yes	characteristic
223	C₂	—	2	1	no	—
224	C₂	—	2	6	no	—
225	C₂	—	8	2	no	—
226	C₂	C₂²×#88072	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#13127939

C₂

yes

maximal, characteristic, complemented

#13123447

C₂

yes

maximal, characteristic, complemented

#13116585

C₂

yes

maximal, complemented

C₂×#11718157

C₂

yes

maximal, complemented

C₂×C₁₃×#578

C₂

yes

maximal, characteristic

C₂×C₁₃×2₋¹⁺⁴

—

C₁₃×#578

—

C₁₃×#578

C₄

yes

—

C₂×C₁₃×#137

—

C₂×C₁₃×#135

C₂²

yes

—

C₂²×C₁₃×Q₁₆

C₂²

yes

—

C₂×C₁₃×#131

C₂²

yes

—

—

—

C₂²

yes

—

C₂×#88052

C₂²

yes

—

#11718157

C₂²

yes

—

#11718155

C₂²

yes

—

C₁₃×2₋¹⁺⁴

—

C₁₃×2₋¹⁺⁴

—

C₂×C₁₃×#41

—

C₂×C₁₃×#41

—

C₂×C₁₃×#41

D₄

yes

characteristic

C₂²×Q₈×C₁₃

—

C₂²×Q₈×C₁₃

—

C₁₃×#137

—

C₁₃×#135

—

C₁₃×#135

C₂×C₄

yes

—

C₂×C₁₃×Q₁₆

—

C₂×C₁₃×Q₁₆

—

C₂×C₁₃×Q₁₆

C₂×C₄

yes

—

C₂×C₁₃×Q₁₆

C₂³

yes

—

C₂×C₁₃×SD₁₆

—

C₂×C₁₃×D₈

C₂³

yes

characteristic

C₁₃×#131

C₂×C₄

yes

—

C₁₃×#131

D₄

yes

—

C₂×C₁₃×M₁₆

D₄

yes

—

C₂²×C₈×C₁₃

C₂³

yes

—

—

—

—

C₂³

yes

—

#88052

—

#88052

C₂³

yes

—

C₂×#6090

—

#33393

—

maximal, Sylow

C₁₃×#41

—

C₁₃×#41

—

C₁₃×#41

—

C₁₃×#41

C₂²⋊C₄

yes

—

C₁₃×#41

D₈

yes

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

SD₁₆

yes

characteristic

C₂×D₄×C₁₃

—

C₂×D₄×C₁₃

—

C₂×D₄×C₁₃

SD₁₆

yes

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

C₂×D₄

yes

—

C₁₃×Q₁₆

—

C₁₃×Q₁₆

—

C₁₃×Q₁₆

C₂²×C₄

yes

—

C₁₃×SD₁₆

—

C₁₃×D₈

—

C₁₃×D₈

C₂²×C₄

yes

—

C₁₃×M₁₆

C₂²⋊C₄

yes

—

C₂×C₈×C₁₃

C₂²×C₄

yes

—

C₂×C₈×C₁₃

C₂×D₄

yes

—

C₂×C₈×C₁₃

C₂×D₄

yes

—

C₂×C₈×C₁₃

C₂⁴

yes

—

—

—

—

D₁₃

yes

—

—

—

—

C₂³×C₁₃

—

C₂³×C₁₃

C₂×SD₁₆

yes

—

Q₈×C₁₃

—

Q₈×C₁₃

—

Q₈×C₁₃

—

Q₈×C₁₃

#102

yes

—

D₄×C₁₃

—

D₄×C₁₃

—

D₄×C₁₃

—

D₄×C₁₃

#102

yes

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

C₂×C₂²⋊C₄

yes

—

C₂×C₄×C₁₃

C₂×D₈

yes

—

100

C₂×C₄×C₁₃

C₂×SD₁₆

yes

—

101

C₂×C₄×C₁₃

C₂²×D₄

yes

characteristic

102

C₈×C₁₃

C₂×C₂²⋊C₄

yes

—

103

C₈×C₁₃

C₂³×C₄

yes

characteristic

104

C₈×C₁₃

C₂²×D₄

yes

characteristic

105

#1055

—

106

C₂×2₋¹⁺⁴

—

107

#578

—

108

#578

Dic₁₃

yes

—

109

C₂×#137

—

110

C₂×#135

C₂×D₁₃

yes

—

111

C₂²×Q₁₆

C₂×D₁₃

yes

—

112

#568

—

113

C₂×#131

C₂×D₁₃

yes

characteristic

114

#504

—

115

C₂×M₃₂

—

116

#430

—

117

C₂×#108

—

118

#362

—

119

#361

—

120

C₂²×C₁₃

—

121

C₂²×C₁₃

—

122

C₂²×C₁₃

—

123

C₂²×C₁₃

C₂×#102

yes

—

124

C₂²×C₁₃

C₂²×SD₁₆

yes

characteristic

125

C₄×C₁₃

—

126

C₄×C₁₃

C₂×#102

yes

—

127

C₄×C₁₃

C₂²×C₂²⋊C₄

yes

characteristic

128

C₄×C₁₃

C₂²×D₈

yes

characteristic

129

2₋¹⁺⁴

—

130

2₋¹⁺⁴

—

131

C₂×#41

—

132

C₂×#41

—

133

C₂×#41

C₂²⋊D₁₃

yes

characteristic

134

C₂²×Q₈

—

135

C₂²×Q₈

—

136

#137

—

137

#135

—

138

#135

C₂×Dic₁₃

yes

—

139

C₂×Q₁₆

—

140

C₂×Q₁₆

—

141

C₂×Q₁₆

C₂×Dic₁₃

yes

—

142

C₂×Q₁₆

C₂²×D₁₃

yes

—

143

C₂×SD₁₆

—

144

C₂×D₈

C₂²×D₁₃

yes

characteristic

145

#131

—

146

#131

C₂×Dic₁₃

yes

—

147

#131

C₂²⋊D₁₃

yes

—

148

C₂×M₁₆

—

149

C₂×M₁₆

C₂²⋊D₁₃

yes

—

150

C₂²×C₈

C₂²×D₁₃

yes

—

151

M₃₂

—

152

M₃₂

—

153

C₂×C₁₆

—

154

#108

—

155

#108

—

156

C₂×C₁₃

—

157

C₂×C₁₃

—

158

C₂×C₁₃

—

159

C₂×C₁₃

C₂²×#102

yes

characteristic

160

#41

—

161

#41

—

162

#41

—

163

#41

#6104

yes

—

164

#41

C₂²⋊Dic₁₃

yes

—

165

C₂×Q₈

—

166

C₂×Q₈

—

167

C₂×Q₈

—

168

C₂×Q₈

—

169

C₂×Q₈

—

170

C₂×Q₈

#6105

yes

characteristic

171

C₂×D₄

—

172

C₂×D₄

—

173

C₂×D₄

#6105

yes

—

174

C₂²×C₄

—

175

C₂²×C₄

—

176

C₂²×C₄

C₂×C₂²⋊D₁₃

yes

—

177

Q₁₆

—

178

Q₁₆

—

179

Q₁₆

C₂²×Dic₁₃

yes

—

180

SD₁₆

—

181

D₈

—

182

D₈

C₂²×Dic₁₃

yes

—

183

M₁₆

—

184

M₁₆

—

185

M₁₆

C₂²⋊Dic₁₃

yes

—

186

C₂×C₈

—

187

C₂×C₈

C₂²×Dic₁₃

yes

—

188

C₂×C₈

C₂×C₂²⋊D₁₃

yes

—

189

C₂×C₈

C₂×C₂²⋊D₁₃

yes

—

190

C₂×C₈

C₂³×D₁₃

yes

characteristic

191

C₁₆

—

192

C₁₃

#33393

yes

characteristic, complemented, Sylow

193

C₂³

—

194

C₂³

C₂×#6105

yes

—

195

Q₈

—

196

Q₈

—

197

Q₈

—

198

Q₈

#88072

yes

—

199

D₄

—

200

D₄

—

201

D₄

—

202

D₄

#88072

yes

—

203

C₂×C₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

C₂×#6104

yes

—

207

C₂×C₄

C₂×#6105

yes

—

208

C₂×C₄

C₂×C₂²⋊Dic₁₃

yes

—

209

C₂×C₄

C₂²×C₂²⋊D₁₃

yes

characteristic

210

C₈

—

211

C₈

C₂×C₂²⋊Dic₁₃

yes

—

212

C₈

C₂³×Dic₁₃

yes

characteristic

213

C₈

C₂²×C₂²⋊D₁₃

yes

characteristic

214

C₂²

—

215

C₂²

—

216

C₂²

—

217

C₂²

C₂×#88072

yes

—

218

C₂²

C₂²×#6105

yes

characteristic

219

C₄

—

220

C₄

C₂×#88072

yes

—

221

C₄

C₂²×#6104

yes

characteristic

222

C₄

C₂²×C₂²⋊Dic₁₃

yes

characteristic

223

C₂

—

224

C₂

—

225

C₂

—

226

C₂

C₂²×#88072

yes

characteristic

	subgroup	G/H
center	C₂	C₂²×#88072
commutator	C₈×C₁₃	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₁₃
Fitting, prime radical	C₂×C₁₃×#578	C₂
socle	C₂×C₁₃	C₂²×#102
cosocle	C₂×C₈×C₁₃	C₂⁴
hypercenter	C₂×#578	D₁₃
hypocenter	C₁₃	#33393
LCS	G ▷ C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂ ◁ C₂×#41 ◁ C₂×#131 ◁ C₂×#578

subgroup

G/H

center

C₂

C₂²×#88072

commutator

C₈×C₁₃

C₂³×C₄

Frattini

C₂×C₈

C₂³×D₁₃

Fitting, prime radical

C₂×C₁₃×#578

C₂

socle

C₂×C₁₃

C₂²×#102

cosocle

C₂×C₈×C₁₃

C₂⁴

D₁₃

C₁₃

G ▷ C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂ ◁ C₂×#41 ◁ C₂×#131 ◁ C₂×#578

N	H ≅ G/N	type
1. #13127939	C₂	semidirect
2. #13123447	C₂	semidirect
3. #13116585	C₂	semidirect
4. C₂×#11718157	C₂	semidirect
192. C₁₃	#33393	semidirect

H ≅ G/N

type

1. #13127939

C₂

semidirect

2. #13123447

C₂

semidirect

3. #13116585

C₂

semidirect

4. C₂×#11718157

C₂

semidirect

192. C₁₃

#33393

semidirect

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

subgroup	index
#13127939	2
#13123447	2
#13116585	2
C₂×#11718157	2
C₂×C₁₃×#578	2
#33393	13

subgroup

index

C₂×C₁₃×#578

Subgroups — #16015890

Conjugacy classes of subgroups

Complements

Maximal subgroups