Group #15696916 — subgroups

Subgroups — C₁₃×#10577 #15696916

Order 3328.

406 conjugacy classes of subgroups; only the 146 normal subgroups are shown.

normal subgroups only

This group has 406 conjugacy classes of subgroups — too many to draw. Only its 146 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	C₁₃×#2571	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#1947	C₂	1	2	yes	maximal
3	C₁₃×#1844	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#1296	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#1279	C₂	1	2	yes	maximal
6	C₂×C₁₃×#107	—	2	2	no	—
7	C₂×C₁₃×#106	—	2	2	no	—
8	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
9	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
10	C₁₃×#400	—	2	2	no	—
11	C₁₃×#389	—	2	2	no	—
12	C₁₃×#384	C₂²	1	1	yes	characteristic
13	C₁₃×#384	C₂²	1	1	yes	characteristic
14	C₁₃×#382	—	2	2	no	—
15	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
16	C₁₃×#340	—	2	2	no	—
17	C₂²×C₈×C₁₃	—	2	1	no	—
18	C₂²×C₈×C₁₃	—	2	2	no	—
19	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
20	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
21	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
22	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
23	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
24	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
25	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
26	C₂×C₄²×C₁₃	—	2	2	no	—
27	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
28	C₁₃×#107	—	4	4	no	—
29	C₁₃×#106	—	4	4	no	—
30	C₁₃×C₄⋊C₈	—	2	2	no	—
31	C₁₃×C₄⋊C₈	Q₈	1	4	yes	—
32	C₄×C₈×C₁₃	—	2	1	no	—
33	C₄×C₈×C₁₃	Q₈	1	2	yes	—
34	C₁₃×#95	—	2	2	no	—
35	C₁₃×#95	—	2	4	no	—
36	C₁₃×#95	—	2	2	no	—
37	#10577	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
38	C₂²×C₄×C₁₃	—	2	2	no	—
39	C₂²×C₄×C₁₃	—	2	2	no	—
40	C₂²×C₄×C₁₃	—	2	2	no	—
41	C₂²×C₄×C₁₃	—	4	1	no	—
42	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
43	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
44	C₂×C₈×C₁₃	—	2	2	no	—
45	C₂×C₈×C₁₃	—	2	2	no	—
46	C₂×C₈×C₁₃	—	2	2	no	—
47	C₂×C₈×C₁₃	—	2	4	no	—
48	C₂×C₈×C₁₃	—	4	2	no	—
49	C₂×C₈×C₁₃	—	4	2	no	—
50	C₁₃×C₄⋊C₄	—	2	2	no	—
51	C₁₃×C₄⋊C₄	—	2	2	no	—
52	C₁₃×C₄⋊C₄	—	2	2	no	—
53	C₁₃×C₄⋊C₄	—	2	2	no	—
54	C₁₃×C₄⋊C₄	—	4	2	no	—
55	C₁₃×C₄⋊C₄	—	4	2	no	—
56	C₁₃×C₄⋊C₄	—	4	2	no	—
57	C₁₃×C₄⋊C₄	—	4	2	no	—
58	C₁₃×C₄⋊C₄	—	4	2	no	—
59	C₁₃×C₄⋊C₄	—	4	2	no	—
60	C₁₃×C₄⋊C₄	—	8	2	no	—
61	C₄²×C₁₃	—	4	2	no	—
62	C₄²×C₁₃	—	4	2	no	—
63	C₄²×C₁₃	C₂×Q₈	1	1	yes	characteristic
64	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
65	C₄²×C₁₃	#41	1	1	yes	characteristic
66	#2571	C₂×C₁₃	1	1	yes	characteristic
67	#1947	C₂×C₁₃	1	2	yes	—
68	#1844	C₂×C₁₃	1	1	yes	characteristic
69	#1296	C₂×C₁₃	1	1	yes	characteristic
70	#1279	C₂×C₁₃	1	2	yes	—
71	C₂³×C₁₃	#120	1	1	yes	characteristic
72	C₂×C₄×C₁₃	—	2	1	no	—
73	C₂×C₄×C₁₃	—	2	1	no	—
74	C₂×C₄×C₁₃	—	4	2	no	—
75	C₂×C₄×C₁₃	—	4	2	no	—
76	C₂×C₄×C₁₃	—	4	2	no	—
77	C₂×C₄×C₁₃	—	4	2	no	—
78	C₂×C₄×C₁₃	—	4	4	no	—
79	C₂×C₄×C₁₃	—	4	2	no	—
80	C₂×C₄×C₁₃	—	4	2	no	—
81	C₂×C₄×C₁₃	—	4	2	no	—
82	C₂×C₄×C₁₃	—	8	2	no	—
83	C₂×C₄×C₁₃	—	8	1	no	—
84	C₂×C₄×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
85	C₂×C₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
86	C₂×C₄×C₁₃	C₄⋊Q₈	1	1	yes	characteristic
87	C₂×C₄×C₁₃	C₄⋊Q₈	1	2	yes	—
88	C₂×C₄×C₁₃	#135	1	2	yes	—
89	C₂×C₄×C₁₃	#135	1	2	yes	—
90	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
91	C₂×C₄×C₁₃	#137	1	2	yes	—
92	C₈×C₁₃	—	2	4	no	—
93	C₈×C₁₃	—	4	4	no	—
94	C₂×#107	—	2	2	no	—
95	C₂×#106	—	2	2	no	—
96	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
97	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
98	#400	—	2	2	no	—
99	#389	—	2	2	no	—
100	#384	C₂²×C₁₃	1	1	yes	characteristic
101	#384	C₂²×C₁₃	1	1	yes	characteristic
102	#382	—	2	2	no	—
103	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
104	#340	—	2	2	no	—
105	C₂²×C₁₃	#395	1	1	yes	characteristic
106	C₂²×C₁₃	#449	1	2	yes	—
107	C₂²×C₁₃	#452	1	2	yes	—
108	C₂²×C₁₃	#453	1	1	yes	characteristic
109	C₂²×C₁₃	#456	1	1	yes	characteristic
110	C₄×C₁₃	—	2	1	no	—
111	C₄×C₁₃	—	2	1	no	—
112	C₄×C₁₃	—	8	2	no	—
113	C₄×C₁₃	—	8	2	no	—
114	C₄×C₁₃	—	8	2	no	—
115	C₄×C₁₃	—	16	1	no	—
116	C₄×C₁₃	#478	1	2	yes	—
117	C₄×C₁₃	#479	1	2	yes	—
118	C₄×C₁₃	#499	1	2	yes	—
119	C₄×C₁₃	#501	1	2	yes	—
120	C₂²×C₈	—	2	1	no	—
121	C₂²×C₈	—	2	2	no	—
122	C₂×C₄⋊C₄	—	2	2	no	—
123	C₂×C₄⋊C₄	—	2	2	no	—
124	C₂×C₄⋊C₄	—	2	1	no	—
125	C₂×C₄⋊C₄	—	2	2	no	—
126	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
127	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
128	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
129	C₂×C₄²	—	2	2	no	—
130	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
131	#107	—	4	4	no	—
132	#106	—	4	4	no	—
133	C₄⋊C₈	—	2	2	no	—
134	C₄⋊C₈	Q₈×C₁₃	1	4	yes	—
135	C₄×C₈	—	2	1	no	—
136	C₄×C₈	Q₈×C₁₃	1	2	yes	—
137	#95	—	2	2	no	—
138	#95	—	2	4	no	—
139	#95	—	2	2	no	—
140	C₂×C₁₃	#1624	1	1	yes	characteristic
141	C₂×C₁₃	#1630	1	1	yes	characteristic
142	C₂×C₁₃	#1652	1	2	yes	—
143	C₂×C₁₃	#2059	1	2	yes	—
144	C₂×C₁₃	#2060	1	1	yes	characteristic
145	C₂²×C₄	—	2	2	no	—
146	C₂²×C₄	—	2	2	no	—
147	C₂²×C₄	—	2	2	no	—
148	C₂²×C₄	—	4	1	no	—
149	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
150	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
151	C₂×C₈	—	2	2	no	—
152	C₂×C₈	—	2	2	no	—
153	C₂×C₈	—	2	2	no	—
154	C₂×C₈	—	2	4	no	—
155	C₂×C₈	—	4	2	no	—
156	C₂×C₈	—	4	2	no	—
157	C₄⋊C₄	—	2	2	no	—
158	C₄⋊C₄	—	2	2	no	—
159	C₄⋊C₄	—	2	2	no	—
160	C₄⋊C₄	—	2	2	no	—
161	C₄⋊C₄	—	4	2	no	—
162	C₄⋊C₄	—	4	2	no	—
163	C₄⋊C₄	—	4	2	no	—
164	C₄⋊C₄	—	4	2	no	—
165	C₄⋊C₄	—	4	2	no	—
166	C₄⋊C₄	—	4	2	no	—
167	C₄⋊C₄	—	8	2	no	—
168	C₄²	—	4	2	no	—
169	C₄²	—	4	2	no	—
170	C₄²	C₂×Q₈×C₁₃	1	1	yes	characteristic
171	C₄²	C₂×Q₈×C₁₃	1	2	yes	—
172	C₄²	C₁₃×#41	1	1	yes	characteristic
173	C₁₃	#10577	1	1	yes	characteristic, direct product factor, Sylow
174	C₂³	C₁₃×#120	1	1	yes	characteristic
175	C₂×C₄	—	2	1	no	—
176	C₂×C₄	—	2	1	no	—
177	C₂×C₄	—	4	2	no	—
178	C₂×C₄	—	4	2	no	—
179	C₂×C₄	—	4	2	no	—
180	C₂×C₄	—	4	2	no	—
181	C₂×C₄	—	4	4	no	—
182	C₂×C₄	—	4	2	no	—
183	C₂×C₄	—	4	2	no	—
184	C₂×C₄	—	4	2	no	—
185	C₂×C₄	—	8	2	no	—
186	C₂×C₄	—	8	1	no	—
187	C₂×C₄	C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
188	C₂×C₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
189	C₂×C₄	C₁₃×C₄⋊Q₈	1	1	yes	characteristic
190	C₂×C₄	C₁₃×C₄⋊Q₈	1	2	yes	—
191	C₂×C₄	C₁₃×#135	1	2	yes	—
192	C₂×C₄	C₁₃×#135	1	2	yes	—
193	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	2	yes	—
194	C₂×C₄	C₁₃×#137	1	2	yes	—
195	C₈	—	2	4	no	—
196	C₈	—	4	4	no	—
197	C₂²	C₁₃×#395	1	1	yes	characteristic
198	C₂²	C₁₃×#449	1	2	yes	—
199	C₂²	C₁₃×#452	1	2	yes	—
200	C₂²	C₁₃×#453	1	1	yes	characteristic
201	C₂²	C₁₃×#456	1	1	yes	characteristic
202	C₄	—	2	1	no	—
203	C₄	—	2	1	no	—
204	C₄	—	8	2	no	—
205	C₄	—	8	2	no	—
206	C₄	—	8	2	no	—
207	C₄	—	16	1	no	—
208	C₄	C₁₃×#478	1	2	yes	—
209	C₄	C₁₃×#479	1	2	yes	—
210	C₄	C₁₃×#499	1	2	yes	—
211	C₄	C₁₃×#501	1	2	yes	—
212	C₂	C₁₃×#1624	1	1	yes	characteristic
213	C₂	C₁₃×#1630	1	1	yes	characteristic
214	C₂	C₁₃×#1652	1	2	yes	—
215	C₂	C₁₃×#2059	1	2	yes	—
216	C₂	C₁₃×#2060	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₁₃×#2571

C₂

yes

maximal, characteristic

C₁₃×#1947

C₂

yes

maximal

C₁₃×#1844

C₂

yes

maximal, characteristic

C₁₃×#1296

C₂

yes

maximal, characteristic

C₁₃×#1279

C₂

yes

maximal

C₂×C₁₃×#107

—

C₂×C₁₃×#106

—

C₂×C₁₃×C₄⋊C₈

C₂²

yes

—

C₂×C₄×C₈×C₁₃

C₂²

yes

characteristic

C₁₃×#400

—

C₁₃×#389

—

C₁₃×#384

C₂²

yes

characteristic

C₁₃×#384

C₂²

yes

characteristic

C₁₃×#382

—

C₄×C₁₃×C₄⋊C₄

C₂²

yes

—

C₁₃×#340

—

C₂²×C₈×C₁₃

—

C₂²×C₈×C₁₃

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₁₃×C₄⋊C₄

—

C₂×C₁₃×C₄⋊C₄

D₄

yes

—

C₂×C₁₃×C₄⋊C₄

D₄

yes

—

C₂×C₁₃×C₄⋊C₄

D₄

yes

—

C₂×C₄²×C₁₃

—

C₂×C₄²×C₁₃

C₂³

yes

characteristic

C₁₃×#107

—

C₁₃×#106

—

C₁₃×C₄⋊C₈

—

C₁₃×C₄⋊C₈

Q₈

yes

—

C₄×C₈×C₁₃

—

C₄×C₈×C₁₃

Q₈

yes

—

C₁₃×#95

—

C₁₃×#95

—

C₁₃×#95

—

#10577

C₁₃

yes

maximal, characteristic, direct product factor, Sylow

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

—

C₂²×C₄×C₁₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₁₃

C₂×D₄

yes

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₂×C₈×C₁₃

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₁₃×C₄⋊C₄

—

C₄²×C₁₃

—

C₄²×C₁₃

—

C₄²×C₁₃

C₂×Q₈

yes

characteristic

C₄²×C₁₃

C₂×Q₈

yes

—

C₄²×C₁₃

#41

yes

characteristic

#2571

C₂×C₁₃

yes

characteristic

#1947

C₂×C₁₃

yes

—

#1844

C₂×C₁₃

yes

characteristic

#1296

C₂×C₁₃

yes

characteristic

#1279

C₂×C₁₃

yes

—

C₂³×C₁₃

#120

yes

characteristic

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

—

C₂×C₄×C₁₃

C₂²⋊Q₈

yes

characteristic

C₂×C₄×C₁₃

C₂²⋊Q₈

yes

—

C₂×C₄×C₁₃

C₄⋊Q₈

yes

characteristic

C₂×C₄×C₁₃

C₄⋊Q₈

yes

—

C₂×C₄×C₁₃

#135

yes

—

C₂×C₄×C₁₃

#135

yes

—

C₂×C₄×C₁₃

AGL(1,ℤ/8)

yes

—

C₂×C₄×C₁₃

#137

yes

—

C₈×C₁₃

—

C₈×C₁₃

—

C₂×#107

—

C₂×#106

—

C₂×C₄⋊C₈

C₂²×C₁₃

yes

—

C₂×C₄×C₈

C₂²×C₁₃

yes

characteristic

#400

—

#389

—

100

#384

C₂²×C₁₃

yes

characteristic

101

#384

C₂²×C₁₃

yes

characteristic

102

#382

—

103

C₄×C₄⋊C₄

C₂²×C₁₃

yes

—

104

#340

—

105

C₂²×C₁₃

#395

yes

characteristic

106

C₂²×C₁₃

#449

yes

—

107

C₂²×C₁₃

#452

yes

—

108

C₂²×C₁₃

#453

yes

characteristic

109

C₂²×C₁₃

#456

yes

characteristic

110

C₄×C₁₃

—

111

C₄×C₁₃

—

112

C₄×C₁₃

—

113

C₄×C₁₃

—

114

C₄×C₁₃

—

115

C₄×C₁₃

—

116

C₄×C₁₃

#478

yes

—

117

C₄×C₁₃

#479

yes

—

118

C₄×C₁₃

#499

yes

—

119

C₄×C₁₃

#501

yes

—

120

C₂²×C₈

—

121

C₂²×C₈

—

122

C₂×C₄⋊C₄

—

123

C₂×C₄⋊C₄

—

124

C₂×C₄⋊C₄

—

125

C₂×C₄⋊C₄

—

126

C₂×C₄⋊C₄

D₄×C₁₃

yes

—

127

C₂×C₄⋊C₄

D₄×C₁₃

yes

—

128

C₂×C₄⋊C₄

D₄×C₁₃

yes

—

129

C₂×C₄²

—

130

C₂×C₄²

C₂³×C₁₃

yes

characteristic

131

#107

—

132

#106

—

133

C₄⋊C₈

—

134

C₄⋊C₈

Q₈×C₁₃

yes

—

135

C₄×C₈

—

136

C₄×C₈

Q₈×C₁₃

yes

—

137

#95

—

138

#95

—

139

#95

—

140

C₂×C₁₃

#1624

yes

characteristic

141

C₂×C₁₃

#1630

yes

characteristic

142

C₂×C₁₃

#1652

yes

—

143

C₂×C₁₃

#2059

yes

—

144

C₂×C₁₃

#2060

yes

characteristic

145

C₂²×C₄

—

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

—

149

C₂²×C₄

C₂×D₄×C₁₃

yes

characteristic

150

C₂²×C₄

C₂×D₄×C₁₃

yes

—

151

C₂×C₈

—

152

C₂×C₈

—

153

C₂×C₈

—

154

C₂×C₈

—

155

C₂×C₈

—

156

C₂×C₈

—

157

C₄⋊C₄

—

158

C₄⋊C₄

—

159

C₄⋊C₄

—

160

C₄⋊C₄

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

164

C₄⋊C₄

—

165

C₄⋊C₄

—

166

C₄⋊C₄

—

167

C₄⋊C₄

—

168

C₄²

—

169

C₄²

—

170

C₄²

C₂×Q₈×C₁₃

yes

characteristic

171

C₄²

C₂×Q₈×C₁₃

yes

—

172

C₄²

C₁₃×#41

yes

characteristic

173

C₁₃

#10577

yes

characteristic, direct product factor, Sylow

174

C₂³

C₁₃×#120

yes

characteristic

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

178

C₂×C₄

—

179

C₂×C₄

—

180

C₂×C₄

—

181

C₂×C₄

—

182

C₂×C₄

—

183

C₂×C₄

—

184

C₂×C₄

—

185

C₂×C₄

—

186

C₂×C₄

—

187

C₂×C₄

C₁₃×C₂²⋊Q₈

yes

characteristic

188

C₂×C₄

C₁₃×C₂²⋊Q₈

yes

—

189

C₂×C₄

C₁₃×C₄⋊Q₈

yes

characteristic

190

C₂×C₄

C₁₃×C₄⋊Q₈

yes

—

191

C₂×C₄

C₁₃×#135

yes

—

192

C₂×C₄

C₁₃×#135

yes

—

193

C₂×C₄

C₁₃×AGL(1,ℤ/8)

yes

—

194

C₂×C₄

C₁₃×#137

yes

—

195

C₈

—

196

C₈

—

197

C₂²

C₁₃×#395

yes

characteristic

198

C₂²

C₁₃×#449

yes

—

199

C₂²

C₁₃×#452

yes

—

200

C₂²

C₁₃×#453

yes

characteristic

201

C₂²

C₁₃×#456

yes

characteristic

202

C₄

—

203

C₄

—

204

C₄

—

205

C₄

—

206

C₄

—

207

C₄

—

208

C₄

C₁₃×#478

yes

—

209

C₄

C₁₃×#479

yes

—

210

C₄

C₁₃×#499

yes

—

211

C₄

C₁₃×#501

yes

—

212

C₂

C₁₃×#1624

yes

characteristic

213

C₂

C₁₃×#1630

yes

characteristic

214

C₂

C₁₃×#1652

yes

—

215

C₂

C₁₃×#2059

yes

—

216

C₂

C₁₃×#2060

yes

characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₃	#120
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₃
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ G

subgroup

G/H

center, socle, prime radical

C₂³×C₁₃

#120

commutator, Frattini, cosocle

C₂×C₄²

C₂³×C₁₃

LCS

G ▷ C₂×C₄² ▷ C₂² ▷ C₁

UCS

C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ G

N	H ≅ G/N	type
37. #10577	C₁₃	direct (N × H)
173. C₁₃	#10577	direct (N × H)

H ≅ G/N

type

37. #10577

C₁₃

direct (N × H)

173. C₁₃

#10577

direct (N × H)

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

subgroup	index
C₁₃×#2571	2
C₁₃×#1947	2
C₁₃×#1844	2
C₁₃×#1296	2
C₁₃×#1279	2
#10577	13

subgroup

index

C₁₃×#2571

C₁₃×#1947

C₁₃×#1844

C₁₃×#1296

C₁₃×#1279

#10577

Subgroups — C₁₃×#10577 #15696916

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C13×#10577 #15696916

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#10577 #15696916