Group #15765733 — subgroups

Subgroups — #15765733

Order 3328.

638 conjugacy classes of subgroups; only the 153 normal subgroups are shown.

normal subgroups only

This group has 638 conjugacy classes of subgroups — too many to draw. Only its 153 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×#11718749	C₂	1	2	yes	maximal
2	#13115642	C₂	1	1	yes	maximal, characteristic
3	#13115639	C₂	1	2	yes	maximal, complemented
4	#13112663	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#498	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
7	C₂×#88128	C₂²	1	1	yes	characteristic
8	C₁₃×#498	—	2	4	no	—
9	C₂×C₁₃×#106	—	2	2	no	—
10	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
11	C₂×#88075	—	2	4	no	—
12	C₂×#88061	—	2	2	no	—
13	#11718749	—	2	4	no	—
14	#11718749	—	2	4	no	—
15	C₂×#88049	—	2	4	no	—
16	#11718596	C₂²	1	1	yes	characteristic
17	C₂×C₄×#1055	C₂²	1	2	yes	—
18	C₂²×Q₈×C₁₃	—	2	2	no	—
19	C₂²×D₅₂	—	2	1	no	—
20	C₂²×D₅₂	—	2	2	no	—
21	C₂²×C₈×C₁₃	D₄	1	2	yes	—
22	C₁₃×C₄⋊Q₈	—	2	2	no	—
23	C₁₃×C₄⋊Q₈	—	2	2	no	—
24	C₁₃×C₄⋊Q₈	—	2	2	no	—
25	C₁₃×C₄⋊Q₈	D₄	1	4	yes	—
26	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
27	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
28	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
29	C₂×C₄⋊Dic₁₃	—	2	1	no	—
30	C₂×C₄⋊Dic₁₃	—	2	2	no	—
31	C₂²×#1055	D₄	1	4	yes	—
32	#88128	—	2	2	no	—
33	#88128	—	2	1	no	—
34	#88128	D₄	1	2	yes	—
35	C₁₃×#106	—	2	8	no	—
36	C₄×C₈×C₁₃	—	2	2	no	—
37	#88075	—	4	8	no	—
38	#88061	—	4	4	no	—
39	#88049	—	2	16	no	—
40	C₄×#1055	—	2	2	no	—
41	C₄×#1055	—	2	2	no	—
42	#10312	—	13	1	no	maximal, Sylow
43	C₂³×D₁₃	—	4	1	no	—
44	C₂×Q₈×C₁₃	—	2	4	no	—
45	C₂×Q₈×C₁₃	—	4	2	no	—
46	C₂×Q₈×C₁₃	—	4	4	no	—
47	C₂×Q₈×C₁₃	—	4	4	no	—
48	C₂²×C₄×C₁₃	—	4	2	no	—
49	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
50	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
51	C₂²×Dic₁₃	—	4	1	no	—
52	C₂×D₅₂	—	2	4	no	—
53	C₂×D₅₂	—	2	2	no	—
54	C₂×D₅₂	—	4	2	no	—
55	C₂×D₅₂	—	4	4	no	—
56	C₂×D₅₂	—	4	4	no	—
57	C₂×D₅₂	—	4	2	no	—
58	C₂×D₅₂	—	4	1	no	—
59	C₂×D₅₂	—	4	2	no	—
60	C₂×C₈×C₁₃	—	2	2	no	—
61	C₂×C₈×C₁₃	—	2	2	no	—
62	C₂×C₈×C₁₃	SD₁₆	1	4	yes	—
63	C₁₃×C₄⋊C₄	—	2	4	no	—
64	C₁₃×C₄⋊C₄	—	2	4	no	—
65	C₁₃×C₄⋊C₄	—	4	2	no	—
66	C₁₃×C₄⋊C₄	—	4	2	no	—
67	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
68	C₄²×C₁₃	C₂×D₄	1	2	yes	—
69	C₄²×C₁₃	#41	1	1	yes	characteristic
70	C₄⋊Dic₁₃	—	4	2	no	—
71	C₄⋊Dic₁₃	—	4	4	no	—
72	C₂×#1055	—	2	4	no	—
73	C₂×#1055	—	2	4	no	—
74	C₂×#1055	—	2	4	no	—
75	C₂×#498	D₁₃	1	1	yes	characteristic, complemented
76	C₂×#486	—	13	2	no	—
77	#1957	—	13	1	no	—
78	#1956	—	13	2	no	—
79	#1273	—	13	1	no	—
80	C₂³×C₁₃	#127	1	1	yes	characteristic
81	C₂²×D₁₃	—	4	2	no	—
82	C₂²×D₁₃	—	8	1	no	—
83	C₂²×D₁₃	—	8	2	no	—
84	C₂²×D₁₃	—	8	2	no	—
85	C₂²×D₁₃	—	8	1	no	—
86	Q₈×C₁₃	—	4	8	no	—
87	Q₈×C₁₃	—	8	4	no	—
88	C₂×C₄×C₁₃	—	4	4	no	—
89	C₂×C₄×C₁₃	—	8	2	no	—
90	C₂×C₄×C₁₃	—	8	2	no	—
91	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
92	C₂×C₄×C₁₃	#120	1	2	yes	—
93	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
94	C₂×C₄×C₁₃	#121	1	2	yes	—
95	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
96	C₂×C₄×C₁₃	#135	1	4	yes	—
97	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	—
98	C₂×C₄×C₁₃	#137	1	2	yes	—
99	C₂×Dic₁₃	—	8	1	no	—
100	C₂×Dic₁₃	—	8	2	no	—
101	D₅₂	—	4	8	no	—
102	D₅₂	—	4	4	no	—
103	D₅₂	—	8	2	no	—
104	D₅₂	—	8	4	no	—
105	C₈×C₁₃	—	2	4	no	—
106	#1055	—	4	4	no	—
107	C₂×C₄⋊Q₈	C₂×D₁₃	1	2	yes	—
108	C₂×#127	—	13	1	no	—
109	#498	—	2	4	no	—
110	#486	—	26	4	no	—
111	#486	—	26	4	no	—
112	C₂×#106	—	2	2	no	—
113	C₂×#103	—	26	4	no	—
114	C₂×#102	—	26	4	no	—
115	C₂×#102	—	26	2	no	—
116	C₂×C₄×C₈	—	13	2	no	—
117	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
118	#384	—	13	1	no	—
119	C₂²×C₁₃	#392	1	1	yes	characteristic
120	C₂²×C₁₃	#492	1	1	yes	characteristic
121	C₂²×C₁₃	#495	1	2	yes	—
122	C₂²×C₁₃	#496	1	2	yes	—
123	C₂²×C₁₃	#497	1	1	yes	characteristic
124	C₂×D₁₃	—	8	4	no	—
125	C₂×D₁₃	—	8	2	no	—
126	C₂×D₁₃	—	16	1	no	—
127	C₂×D₁₃	—	16	1	no	—
128	C₂×D₁₃	—	16	2	no	—
129	C₄×C₁₃	—	8	4	no	—
130	C₄×C₁₃	#448	1	2	yes	—
131	C₄×C₁₃	#449	1	4	yes	—
132	C₄×C₁₃	#461	1	2	yes	—
133	C₄×C₁₃	#463	1	4	yes	—
134	Dic₁₃	—	16	1	no	—
135	C₂²×Q₈	—	2	2	no	—
136	C₂²×D₄	—	26	2	no	—
137	C₂²×D₄	—	26	1	no	—
138	C₂²×C₈	—	13	4	no	—
139	C₂²×C₈	C₂²⋊D₁₃	1	2	yes	—
140	C₄⋊Q₈	—	2	2	no	—
141	C₄⋊Q₈	—	2	2	no	—
142	C₄⋊Q₈	—	2	2	no	—
143	C₄⋊Q₈	C₂²⋊D₁₃	1	4	yes	—
144	#127	—	13	2	no	—
145	#127	—	26	1	no	—
146	#127	—	26	2	no	—
147	C₂×C₄⋊C₄	—	2	2	no	—
148	C₂×C₄⋊C₄	—	2	2	no	—
149	C₂×C₄⋊C₄	—	26	2	no	—
150	C₂×C₄⋊C₄	—	26	1	no	—
151	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
152	#106	—	2	8	no	—
153	#103	—	52	8	no	—
154	#102	—	26	16	no	—
155	#102	—	52	4	no	—
156	C₄×C₈	—	2	2	no	—
157	C₄×C₈	—	26	2	no	—
158	C₄×C₈	—	26	2	no	—
159	C₂×C₁₃	#1708	1	1	yes	characteristic
160	C₂×C₁₃	#1715	1	1	yes	characteristic
161	C₂×C₁₃	#1720	1	2	yes	—
162	C₂×C₁₃	#2012	1	2	yes	—
163	C₂×C₁₃	#2013	1	1	yes	characteristic
164	D₁₃	—	16	2	no	—
165	C₂⁴	—	52	1	no	—
166	C₂×Q₈	—	2	4	no	—
167	C₂×Q₈	—	4	2	no	—
168	C₂×Q₈	—	4	4	no	—
169	C₂×Q₈	—	4	4	no	—
170	C₂×D₄	—	26	4	no	—
171	C₂×D₄	—	26	2	no	—
172	C₂×D₄	—	52	4	no	—
173	C₂×D₄	—	52	4	no	—
174	C₂×D₄	—	52	2	no	—
175	C₂×D₄	—	52	2	no	—
176	C₂×D₄	—	52	2	no	—
177	C₂×D₄	—	52	1	no	—
178	C₂²×C₄	—	4	2	no	—
179	C₂²×C₄	—	52	1	no	—
180	C₂²×C₄	D₄×D₁₃	1	2	yes	—
181	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
182	C₂×C₈	—	2	2	no	—
183	C₂×C₈	—	2	2	no	—
184	C₂×C₈	—	26	4	no	—
185	C₂×C₈	—	26	4	no	—
186	C₂×C₈	—	26	4	no	—
187	C₂×C₈	#6106	1	4	yes	—
188	C₄⋊C₄	—	2	4	no	—
189	C₄⋊C₄	—	2	4	no	—
190	C₄⋊C₄	—	4	2	no	—
191	C₄⋊C₄	—	4	2	no	—
192	C₄⋊C₄	—	52	4	no	—
193	C₄⋊C₄	—	52	2	no	—
194	C₄²	D₄×D₁₃	1	1	yes	characteristic
195	C₄²	#6129	1	1	yes	characteristic
196	C₄²	C₂×C₂²⋊D₁₃	1	2	yes	—
197	C₁₃	#10312	1	1	yes	characteristic, complemented, Sylow
198	C₂³	—	52	2	no	—
199	C₂³	—	104	1	no	—
200	C₂³	—	104	1	no	—
201	C₂³	—	104	2	no	—
202	C₂³	—	104	2	no	—
203	C₂³	#88194	1	1	yes	characteristic
204	Q₈	—	4	8	no	—
205	Q₈	—	8	4	no	—
206	D₄	—	52	4	no	—
207	D₄	—	52	8	no	—
208	D₄	—	104	4	no	—
209	D₄	—	104	2	no	—
210	C₂×C₄	—	4	4	no	—
211	C₂×C₄	—	8	2	no	—
212	C₂×C₄	—	8	2	no	—
213	C₂×C₄	—	104	1	no	—
214	C₂×C₄	—	104	2	no	—
215	C₂×C₄	#88168	1	4	yes	—
216	C₂×C₄	#88170	1	4	yes	—
217	C₂×C₄	#88191	1	2	yes	—
218	C₂×C₄	#88192	1	1	yes	characteristic
219	C₂×C₄	#88193	1	2	yes	—
220	C₂×C₄	C₂×#6106	1	2	yes	—
221	C₂×C₄	#88196	1	2	yes	—
222	C₂×C₄	#88207	1	1	yes	characteristic
223	C₈	—	2	4	no	—
224	C₈	—	52	4	no	—
225	C₂²	—	104	4	no	—
226	C₂²	—	104	2	no	—
227	C₂²	—	208	1	no	—
228	C₂²	—	208	1	no	—
229	C₂²	—	208	2	no	—
230	C₂²	#11718746	1	1	yes	characteristic
231	C₂²	#11718747	1	1	yes	characteristic
232	C₂²	#11718829	1	2	yes	—
233	C₂²	#11718837	1	2	yes	—
234	C₂²	#11718884	1	1	yes	characteristic
235	C₄	—	8	4	no	—
236	C₄	—	208	1	no	—
237	C₄	#11718744	1	2	yes	—
238	C₄	#11718826	1	4	yes	—
239	C₄	#11718833	1	4	yes	—
240	C₄	#11718888	1	2	yes	—
241	C₂	—	208	2	no	—
242	C₂	#13114438	1	1	yes	characteristic
243	C₂	#13114465	1	1	yes	characteristic
244	C₂	#13114494	1	2	yes	—
245	C₂	#13115910	1	2	yes	—
246	C₂	#13115919	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#11718749

C₂

yes

maximal

#13115642

C₂

yes

maximal, characteristic

#13115639

C₂

yes

maximal, complemented

#13112663

C₂

yes

maximal, characteristic, complemented

C₂×C₁₃×#498

C₂

yes

maximal, characteristic, complemented

C₂×C₁₃×C₄⋊Q₈

C₂²

yes

—

C₂×#88128

C₂²

yes

characteristic

C₁₃×#498

—

C₂×C₁₃×#106

—

C₂×C₄×C₈×C₁₃

C₂²

yes

—

—

—

—

—

C₂²

yes

characteristic

C₂×C₄×#1055

C₂²

yes

—

C₂²×Q₈×C₁₃

—

C₂²×D₅₂

—

C₂²×D₅₂

—

C₂²×C₈×C₁₃

D₄

yes

—

C₁₃×C₄⋊Q₈

—

C₁₃×C₄⋊Q₈

—

C₁₃×C₄⋊Q₈

—

C₁₃×C₄⋊Q₈

D₄

yes

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₄²×C₁₃

C₂³

yes

characteristic

C₂×C₄⋊Dic₁₃

—

C₂×C₄⋊Dic₁₃

—

C₂²×#1055

D₄

yes

—

#88128

—

#88128

—

#88128

D₄

yes

—

C₁₃×#106

—

C₄×C₈×C₁₃

—

—

—

—

—

—

—

C₂³×D₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂×Q₈×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

C₂×D₄

yes

—

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂²×Dic₁₃

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×D₅₂

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

SD₁₆

yes

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₄²×C₁₃

C₂×D₄

yes

characteristic

C₄²×C₁₃

C₂×D₄

yes

—

C₄²×C₁₃

#41

yes

characteristic

C₄⋊Dic₁₃

—

C₄⋊Dic₁₃

—

—

—

—

D₁₃

yes

characteristic, complemented

—

—

—

—

C₂³×C₁₃

#127

yes

characteristic

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

C₂²×D₁₃

—

Q₈×C₁₃

—

Q₈×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

#120

yes

characteristic

C₂×C₄×C₁₃

#120

yes

—

C₂×C₄×C₁₃

#121

yes

characteristic

C₂×C₄×C₁₃

#121

yes

—

C₂×C₄×C₁₃

C₂×SD₁₆

yes

—

C₂×C₄×C₁₃

#135

yes

—

C₂×C₄×C₁₃

AGL(1,ℤ/8)

yes

—

C₂×C₄×C₁₃

#137

yes

—

C₂×Dic₁₃

—

100

C₂×Dic₁₃

—

101

D₅₂

—

102

D₅₂

—

103

D₅₂

—

104

D₅₂

—

105

C₈×C₁₃

—

106

#1055

—

107

C₂×C₄⋊Q₈

C₂×D₁₃

yes

—

108

C₂×#127

—

109

#498

—

110

#486

—

111

#486

—

112

C₂×#106

—

113

C₂×#103

—

114

C₂×#102

—

115

C₂×#102

—

116

C₂×C₄×C₈

—

117

C₂×C₄×C₈

C₂×D₁₃

yes

characteristic

118

#384

—

119

C₂²×C₁₃

#392

yes

characteristic

120

C₂²×C₁₃

#492

yes

characteristic

121

C₂²×C₁₃

#495

yes

—

122

C₂²×C₁₃

#496

yes

—

123

C₂²×C₁₃

#497

yes

characteristic

124

C₂×D₁₃

—

125

C₂×D₁₃

—

126

C₂×D₁₃

—

127

C₂×D₁₃

—

128

C₂×D₁₃

—

129

C₄×C₁₃

—

130

C₄×C₁₃

#448

yes

—

131

C₄×C₁₃

#449

yes

—

132

C₄×C₁₃

#461

yes

—

133

C₄×C₁₃

#463

yes

—

134

Dic₁₃

—

135

C₂²×Q₈

—

136

C₂²×D₄

—

137

C₂²×D₄

—

138

C₂²×C₈

—

139

C₂²×C₈

C₂²⋊D₁₃

yes

—

140

C₄⋊Q₈

—

141

C₄⋊Q₈

—

142

C₄⋊Q₈

—

143

C₄⋊Q₈

C₂²⋊D₁₃

yes

—

144

#127

—

145

#127

—

146

#127

—

147

C₂×C₄⋊C₄

—

148

C₂×C₄⋊C₄

—

149

C₂×C₄⋊C₄

—

150

C₂×C₄⋊C₄

—

151

C₂×C₄²

C₂²×D₁₃

yes

characteristic

152

#106

—

153

#103

—

154

#102

—

155

#102

—

156

C₄×C₈

—

157

C₄×C₈

—

158

C₄×C₈

—

159

C₂×C₁₃

#1708

yes

characteristic

160

C₂×C₁₃

#1715

yes

characteristic

161

C₂×C₁₃

#1720

yes

—

162

C₂×C₁₃

#2012

yes

—

163

C₂×C₁₃

#2013

yes

characteristic

164

D₁₃

—

165

C₂⁴

—

166

C₂×Q₈

—

167

C₂×Q₈

—

168

C₂×Q₈

—

169

C₂×Q₈

—

170

C₂×D₄

—

171

C₂×D₄

—

172

C₂×D₄

—

173

C₂×D₄

—

174

C₂×D₄

—

175

C₂×D₄

—

176

C₂×D₄

—

177

C₂×D₄

—

178

C₂²×C₄

—

179

C₂²×C₄

—

180

C₂²×C₄

D₄×D₁₃

yes

—

181

C₂²×C₄

C₂×C₂²⋊D₁₃

yes

characteristic

182

C₂×C₈

—

183

C₂×C₈

—

184

C₂×C₈

—

185

C₂×C₈

—

186

C₂×C₈

—

187

C₂×C₈

#6106

yes

—

188

C₄⋊C₄

—

189

C₄⋊C₄

—

190

C₄⋊C₄

—

191

C₄⋊C₄

—

192

C₄⋊C₄

—

193

C₄⋊C₄

—

194

C₄²

D₄×D₁₃

yes

characteristic

195

C₄²

#6129

yes

characteristic

196

C₄²

C₂×C₂²⋊D₁₃

yes

—

197

C₁₃

#10312

yes

characteristic, complemented, Sylow

198

C₂³

—

199

C₂³

—

104

—

200

C₂³

—

104

—

201

C₂³

—

104

—

202

C₂³

—

104

—

203

C₂³

#88194

yes

characteristic

204

Q₈

—

205

Q₈

—

206

D₄

—

207

D₄

—

208

D₄

—

104

—

209

D₄

—

104

—

210

C₂×C₄

—

211

C₂×C₄

—

212

C₂×C₄

—

213

C₂×C₄

—

104

—

214

C₂×C₄

—

104

—

215

C₂×C₄

#88168

yes

—

216

C₂×C₄

#88170

yes

—

217

C₂×C₄

#88191

yes

—

218

C₂×C₄

#88192

yes

characteristic

219

C₂×C₄

#88193

yes

—

220

C₂×C₄

C₂×#6106

yes

—

221

C₂×C₄

#88196

yes

—

222

C₂×C₄

#88207

yes

characteristic

223

C₈

—

224

C₈

—

225

C₂²

—

104

—

226

C₂²

—

104

—

227

C₂²

—

208

—

228

C₂²

—

208

—

229

C₂²

—

208

—

230

C₂²

#11718746

yes

characteristic

231

C₂²

#11718747

yes

characteristic

232

C₂²

#11718829

yes

—

233

C₂²

#11718837

yes

—

234

C₂²

#11718884

yes

characteristic

235

C₄

—

236

C₄

—

208

—

237

C₄

#11718744

yes

—

238

C₄

#11718826

yes

—

239

C₄

#11718833

yes

—

240

C₄

#11718888

yes

—

241

C₂

—

208

—

242

C₂

#13114438

yes

characteristic

243

C₂

#13114465

yes

characteristic

244

C₂

#13114494

yes

—

245

C₂

#13115910

yes

—

246

C₂

#13115919

yes

characteristic

	subgroup	G/H
center	C₂³	#88194
commutator, cosocle	C₂×C₄²×C₁₃	C₂³
Frattini	C₂×C₄²	C₂²×D₁₃
Fitting	C₂×C₁₃×#498	C₂
socle	C₂³×C₁₃	#127
prime radical	C₂×#88128	C₂²
hypercenter	C₂×#498	D₁₃
hypocenter	C₁₃	#10312
LCS	G ▷ C₂×C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#498

subgroup

G/H

center

C₂³

#88194

commutator, cosocle

C₂×C₄²×C₁₃

C₂³

Frattini

C₂×C₄²

C₂²×D₁₃

Fitting

C₂×C₁₃×#498

C₂

C₂³×C₁₃

C₂²

D₁₃

C₁₃

G ▷ C₂×C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#498

N	H ≅ G/N	type
3. #13115639	C₂	semidirect
4. #13112663	C₂	semidirect
5. C₂×C₁₃×#498	C₂	semidirect
75. C₂×#498	D₁₃	semidirect
197. C₁₃	#10312	semidirect

H ≅ G/N

type

3. #13115639

C₂

semidirect

4. #13112663

C₂

semidirect

5. C₂×C₁₃×#498

C₂

semidirect

75. C₂×#498

D₁₃

semidirect

197. C₁₃

#10312

semidirect

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

subgroup	index
C₂×#11718749	2
#13115642	2
#13115639	2
#13112663	2
C₂×C₁₃×#498	2
#10312	13

subgroup

index

C₂×C₁₃×#498

Subgroups — #15765733

Conjugacy classes of subgroups

Complements

Maximal subgroups