Group #22566030 — subgroups

Subgroups — #22566030

Order 8576.

488 conjugacy classes of subgroups; only the 165 normal subgroups are shown.

normal subgroups only

This group has 488 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14524043	C₂	1	1	yes	maximal, characteristic, complemented
2	#16863335	C₂	1	2	yes	maximal, complemented
3	#16863332	C₂	1	2	yes	maximal
4	#16863316	C₂	1	2	yes	maximal, complemented
5	#16863308	C₂	1	2	yes	maximal
6	#16863294	C₂	1	2	yes	maximal, complemented
7	#16863262	C₂	1	1	yes	maximal, characteristic, complemented
8	#16863256	C₂	1	2	yes	maximal
9	C₂×#117×C₆₇	C₂	1	1	yes	maximal, characteristic
10	C₂²×Dic₁₃₄	C₂²	1	2	yes	—
11	#14524043	—	2	4	no	—
12	C₂×C₄⋊Dic₆₇	C₂²	1	2	yes	—
13	C₂×C₄⋊Dic₆₇	C₂²	1	2	yes	—
14	C₂×C₄⋊Dic₆₇	C₂²	1	2	yes	—
15	C₂×Dic₆₇⋊C₄	C₂²	1	4	yes	—
16	C₂×C₂²⋊Dic₆₇	C₂²	1	4	yes	—
17	C₆₇⋊#95	C₂²	1	4	yes	—
18	C₆₇⋊#95	C₂²	1	2	yes	—
19	C₆₇⋊#95	C₂²	1	2	yes	—
20	C₆₇⋊#95	C₂²	1	4	yes	—
21	C₂³×C₄×C₆₇	C₂²	1	1	yes	characteristic
22	#117×C₆₇	—	2	4	no	—
23	C₂×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
25	C₂×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
26	C₂×C₂²⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
27	C₂×C₄²×C₆₇	C₂²	1	1	yes	characteristic
28	C₂×C₄²×C₆₇	C₂²	1	1	yes	characteristic
29	C₂×Dic₁₃₄	—	2	4	no	—
30	C₂×Dic₁₃₄	—	4	4	no	—
31	C₂²×Dic₆₇	C₂³	1	4	yes	—
32	C₂²×Dic₆₇	C₂³	1	4	yes	—
33	C₄⋊Dic₆₇	—	2	4	no	—
34	C₄⋊Dic₆₇	—	2	4	no	—
35	C₄⋊Dic₆₇	—	2	4	no	—
36	Dic₆₇⋊C₄	—	4	4	no	—
37	C₂²⋊Dic₆₇	—	4	4	no	—
38	C₂⁴×C₆₇	C₂³	1	1	yes	characteristic
39	C₂²×C₄×C₆₇	—	2	2	no	—
40	C₂²×C₄×C₆₇	—	2	2	no	—
41	C₂²×C₄×C₆₇	Q₈	1	4	yes	complemented
42	C₂²×C₄×C₆₇	C₂³	1	1	yes	characteristic
43	C₂²×C₄×C₆₇	C₂³	1	1	yes	characteristic
44	C₂²×C₄×C₆₇	C₂³	1	1	yes	characteristic
45	C₂²×C₄×C₆₇	C₂³	1	1	yes	characteristic
46	C₂²×C₄×C₆₇	C₂³	1	1	yes	characteristic
47	C₂²×C₄×C₆₇	C₂³	1	1	yes	characteristic
48	C₄⋊C₄×C₆₇	—	2	2	no	—
49	C₄⋊C₄×C₆₇	—	2	2	no	—
50	C₂²⋊C₄×C₆₇	—	2	2	no	—
51	C₂²⋊C₄×C₆₇	—	2	2	no	—
52	C₄²×C₆₇	—	2	2	no	—
53	C₄²×C₆₇	D₄	1	4	yes	—
54	C₂³×C₆₇	—	2	1	no	—
55	C₂³×C₆₇	—	2	1	no	—
56	C₂³×C₆₇	—	2	2	no	—
57	C₂³×C₆₇	—	2	2	no	—
58	C₂³×C₆₇	C₂×Q₈	1	2	yes	—
59	C₂³×C₆₇	C₂⁴	1	1	yes	characteristic
60	C₂×C₄×C₆₇	—	2	1	no	—
61	C₂×C₄×C₆₇	—	2	1	no	—
62	C₂×C₄×C₆₇	—	2	2	no	—
63	C₂×C₄×C₆₇	—	2	2	no	—
64	C₂×C₄×C₆₇	—	2	8	no	—
65	C₂×C₄×C₆₇	—	2	1	no	—
66	C₂×C₄×C₆₇	—	2	1	no	—
67	C₂×C₄×C₆₇	—	2	2	no	—
68	C₂×C₄×C₆₇	—	2	2	no	—
69	C₂×C₄×C₆₇	C₂×D₄	1	2	yes	—
70	C₂×C₄×C₆₇	C₂×D₄	1	2	yes	—
71	C₂×C₄×C₆₇	C₂×D₄	1	2	yes	—
72	C₂×C₄×C₆₇	C₂×Q₈	1	2	yes	—
73	C₂×C₄×C₆₇	C₂×Q₈	1	2	yes	—
74	C₂×C₄×C₆₇	#41	1	2	yes	—
75	C₂×Dic₆₇	—	2	4	no	—
76	C₂×Dic₆₇	—	2	4	no	—
77	C₂×Dic₆₇	—	2	4	no	—
78	C₂×Dic₆₇	—	2	4	no	—
79	C₂×Dic₆₇	—	2	4	no	—
80	C₂×Dic₆₇	—	2	4	no	—
81	Dic₁₃₄	—	4	8	no	—
82	C₂²×C₆₇	—	2	2	no	—
83	C₂²×C₆₇	—	2	4	no	—
84	C₂²×C₆₇	—	4	1	no	—
85	C₂²×C₆₇	—	4	1	no	—
86	C₂²×C₆₇	—	4	2	no	—
87	C₂²×C₆₇	C₂²×D₄	1	1	yes	characteristic
88	C₂²×C₆₇	C₂²×Q₈	1	1	yes	characteristic
89	C₂²×C₆₇	C₂×#41	1	1	yes	characteristic
90	C₂²×C₆₇	H(5,𝔽₂)	1	2	yes	—
91	C₂²×C₆₇	2₋¹⁺⁴	1	2	yes	—
92	C₄×C₆₇	—	2	2	no	—
93	C₄×C₆₇	—	2	2	no	—
94	C₄×C₆₇	—	2	2	no	—
95	C₄×C₆₇	—	4	1	no	—
96	C₄×C₆₇	—	4	1	no	—
97	C₄×C₆₇	C₂²⋊Q₈	1	4	yes	—
98	Dic₆₇	—	4	4	no	—
99	Dic₆₇	—	4	4	no	—
100	C₂×C₆₇	—	4	2	no	—
101	C₂×C₆₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
102	C₂×C₆₇	#535	1	1	yes	characteristic
103	C₂×C₆₇	#536	1	1	yes	characteristic
104	C₂×C₆₇	#542	1	2	yes	—
105	C₂×C₆₇	#544	1	2	yes	—
106	#2628	—	67	1	no	maximal, Sylow
107	C₆₇	#2628	1	1	yes	characteristic, complemented, Sylow
108	C₂×C₄⋊Q₈	—	67	1	no	—
109	C₂×#117	D₆₇	1	1	yes	characteristic
110	#400	—	67	2	no	—
111	#399	—	67	2	no	—
112	#395	—	67	2	no	—
113	#393	—	67	2	no	—
114	#389	—	67	2	no	—
115	#382	—	67	1	no	—
116	#380	—	67	2	no	—
117	C₂²×Q₈	—	67	2	no	—
118	C₂³×C₄	C₂×D₆₇	1	1	yes	characteristic
119	C₄⋊Q₈	—	134	4	no	—
120	#117	—	2	4	no	—
121	C₂×C₄⋊C₄	—	67	4	no	—
122	C₂×C₄⋊C₄	—	67	2	no	—
123	C₂×C₄⋊C₄	—	67	2	no	—
124	C₂×C₄⋊C₄	—	67	2	no	—
125	C₂×C₄⋊C₄	C₂×D₆₇	1	1	yes	characteristic
126	C₂×C₄⋊C₄	C₂×D₆₇	1	1	yes	characteristic
127	C₂×C₂²⋊C₄	—	67	4	no	—
128	C₂×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic
129	C₂×C₂²⋊C₄	C₂×D₆₇	1	1	yes	characteristic
130	C₂×C₄²	C₂×D₆₇	1	1	yes	characteristic
131	C₂×C₄²	C₂×D₆₇	1	1	yes	characteristic
132	#95	—	67	4	no	—
133	#95	—	67	2	no	—
134	#95	—	67	2	no	—
135	#95	—	67	4	no	—
136	C₂⁴	C₂²×D₆₇	1	1	yes	characteristic
137	C₂×Q₈	—	268	4	no	—
138	C₂×Q₈	—	134	4	no	—
139	C₂²×C₄	—	2	2	no	—
140	C₂²×C₄	—	2	2	no	—
141	C₂²×C₄	—	67	4	no	—
142	C₂²×C₄	—	67	4	no	—
143	C₂²×C₄	Dic₁₃₄	1	4	yes	complemented
144	C₂²×C₄	C₂²×D₆₇	1	1	yes	characteristic
145	C₂²×C₄	C₂²×D₆₇	1	1	yes	characteristic
146	C₂²×C₄	C₂²×D₆₇	1	1	yes	characteristic
147	C₂²×C₄	C₂²×D₆₇	1	1	yes	characteristic
148	C₂²×C₄	C₂²×D₆₇	1	1	yes	characteristic
149	C₂²×C₄	C₂²×D₆₇	1	1	yes	characteristic
150	C₄⋊C₄	—	2	2	no	—
151	C₄⋊C₄	—	2	2	no	—
152	C₄⋊C₄	—	268	4	no	—
153	C₄⋊C₄	—	134	4	no	—
154	C₄⋊C₄	—	134	4	no	—
155	C₄⋊C₄	—	134	4	no	—
156	C₂²⋊C₄	—	2	2	no	—
157	C₂²⋊C₄	—	2	2	no	—
158	C₂²⋊C₄	—	268	4	no	—
159	C₄²	—	2	2	no	—
160	C₄²	C₂²⋊D₆₇	1	4	yes	—
161	C₂³	—	2	1	no	—
162	C₂³	—	2	1	no	—
163	C₂³	—	2	2	no	—
164	C₂³	—	2	2	no	—
165	C₂³	C₂×Dic₁₃₄	1	2	yes	—
166	C₂³	C₂³×D₆₇	1	1	yes	characteristic
167	Q₈	—	268	8	no	—
168	C₂×C₄	—	2	1	no	—
169	C₂×C₄	—	2	1	no	—
170	C₂×C₄	—	2	2	no	—
171	C₂×C₄	—	2	2	no	—
172	C₂×C₄	—	2	8	no	—
173	C₂×C₄	—	2	1	no	—
174	C₂×C₄	—	2	1	no	—
175	C₂×C₄	—	2	2	no	—
176	C₂×C₄	—	2	2	no	—
177	C₂×C₄	—	134	4	no	—
178	C₂×C₄	—	134	4	no	—
179	C₂×C₄	—	134	4	no	—
180	C₂×C₄	—	134	4	no	—
181	C₂×C₄	—	134	4	no	—
182	C₂×C₄	—	134	4	no	—
183	C₂×C₄	C₂×C₂²⋊D₆₇	1	2	yes	—
184	C₂×C₄	C₂×C₂²⋊D₆₇	1	2	yes	—
185	C₂×C₄	C₂×C₂²⋊D₆₇	1	2	yes	—
186	C₂×C₄	C₂×Dic₁₃₄	1	2	yes	—
187	C₂×C₄	C₂×Dic₁₃₄	1	2	yes	—
188	C₂×C₄	#11761628	1	2	yes	—
189	C₂²	—	2	4	no	—
190	C₂²	—	2	2	no	—
191	C₂²	—	4	2	no	—
192	C₂²	—	4	1	no	—
193	C₂²	—	4	1	no	—
194	C₂²	C₂²×C₂²⋊D₆₇	1	1	yes	characteristic
195	C₂²	C₂²×Dic₁₃₄	1	1	yes	characteristic
196	C₂²	C₂×#11761628	1	1	yes	characteristic
197	C₂²	#14524089	1	2	yes	—
198	C₂²	#14524090	1	2	yes	—
199	C₄	—	2	2	no	—
200	C₄	—	2	2	no	—
201	C₄	—	2	2	no	—
202	C₄	—	4	1	no	—
203	C₄	—	4	1	no	—
204	C₄	—	268	4	no	—
205	C₄	—	268	4	no	—
206	C₄	#14524022	1	4	yes	—
207	C₂	—	4	2	no	—
208	C₂	C₂×#14524022	1	1	yes	characteristic
209	C₂	#16863960	1	1	yes	characteristic
210	C₂	#16863967	1	1	yes	characteristic
211	C₂	#16864017	1	2	yes	—
212	C₂	#16864024	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#14524043

C₂

yes

maximal, characteristic, complemented

#16863335

C₂

yes

maximal, complemented

#16863332

C₂

yes

maximal

#16863316

C₂

yes

maximal, complemented

#16863308

C₂

yes

maximal

#16863294

C₂

yes

maximal, complemented

#16863262

C₂

yes

maximal, characteristic, complemented

#16863256

C₂

yes

maximal

C₂×#117×C₆₇

C₂

yes

maximal, characteristic

C₂²×Dic₁₃₄

C₂²

yes

—

#14524043

—

C₂×C₄⋊Dic₆₇

C₂²

yes

—

C₂×C₄⋊Dic₆₇

C₂²

yes

—

C₂×C₄⋊Dic₆₇

C₂²

yes

—

C₂×Dic₆₇⋊C₄

C₂²

yes

—

C₂×C₂²⋊Dic₆₇

C₂²

yes

—

C₆₇⋊#95

C₂²

yes

—

C₆₇⋊#95

C₂²

yes

—

C₆₇⋊#95

C₂²

yes

—

C₆₇⋊#95

C₂²

yes

—

C₂³×C₄×C₆₇

C₂²

yes

characteristic

#117×C₆₇

—

C₂×C₄⋊C₄×C₆₇

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₆₇

C₂²

yes

characteristic

C₂×C₂²⋊C₄×C₆₇

C₂²

yes

characteristic

C₂×C₂²⋊C₄×C₆₇

C₂²

yes

characteristic

C₂×C₄²×C₆₇

C₂²

yes

characteristic

C₂×C₄²×C₆₇

C₂²

yes

characteristic

C₂×Dic₁₃₄

—

C₂×Dic₁₃₄

—

C₂²×Dic₆₇

C₂³

yes

—

C₂²×Dic₆₇

C₂³

yes

—

C₄⋊Dic₆₇

—

C₄⋊Dic₆₇

—

C₄⋊Dic₆₇

—

Dic₆₇⋊C₄

—

C₂²⋊Dic₆₇

—

C₂⁴×C₆₇

C₂³

yes

characteristic

C₂²×C₄×C₆₇

—

C₂²×C₄×C₆₇

—

C₂²×C₄×C₆₇

Q₈

yes

complemented

C₂²×C₄×C₆₇

C₂³

yes

characteristic

C₂²×C₄×C₆₇

C₂³

yes

characteristic

C₂²×C₄×C₆₇

C₂³

yes

characteristic

C₂²×C₄×C₆₇

C₂³

yes

characteristic

C₂²×C₄×C₆₇

C₂³

yes

characteristic

C₂²×C₄×C₆₇

C₂³

yes

characteristic

C₄⋊C₄×C₆₇

—

C₄⋊C₄×C₆₇

—

C₂²⋊C₄×C₆₇

—

C₂²⋊C₄×C₆₇

—

C₄²×C₆₇

—

C₄²×C₆₇

D₄

yes

—

C₂³×C₆₇

—

C₂³×C₆₇

—

C₂³×C₆₇

—

C₂³×C₆₇

—

C₂³×C₆₇

C₂×Q₈

yes

—

C₂³×C₆₇

C₂⁴

yes

characteristic

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

—

C₂×C₄×C₆₇

C₂×D₄

yes

—

C₂×C₄×C₆₇

C₂×D₄

yes

—

C₂×C₄×C₆₇

C₂×D₄

yes

—

C₂×C₄×C₆₇

C₂×Q₈

yes

—

C₂×C₄×C₆₇

C₂×Q₈

yes

—

C₂×C₄×C₆₇

#41

yes

—

C₂×Dic₆₇

—

C₂×Dic₆₇

—

C₂×Dic₆₇

—

C₂×Dic₆₇

—

C₂×Dic₆₇

—

C₂×Dic₆₇

—

Dic₁₃₄

—

C₂²×C₆₇

—

C₂²×C₆₇

—

C₂²×C₆₇

—

C₂²×C₆₇

—

C₂²×C₆₇

—

C₂²×C₆₇

C₂²×D₄

yes

characteristic

C₂²×C₆₇

C₂²×Q₈

yes

characteristic

C₂²×C₆₇

C₂×#41

yes

characteristic

C₂²×C₆₇

H(5,𝔽₂)

yes

—

C₂²×C₆₇

2₋¹⁺⁴

yes

—

C₄×C₆₇

—

C₄×C₆₇

—

C₄×C₆₇

—

C₄×C₆₇

—

C₄×C₆₇

—

C₄×C₆₇

C₂²⋊Q₈

yes

—

Dic₆₇

—

Dic₆₇

—

100

C₂×C₆₇

—

101

C₂×C₆₇

C₂×C₂²⋊Q₈

yes

characteristic

102

C₂×C₆₇

#535

yes

characteristic

103

C₂×C₆₇

#536

yes

characteristic

104

C₂×C₆₇

#542

yes

—

105

C₂×C₆₇

#544

yes

—

106

#2628

—

maximal, Sylow

107

C₆₇

#2628

yes

characteristic, complemented, Sylow

108

C₂×C₄⋊Q₈

—

109

C₂×#117

D₆₇

yes

characteristic

110

#400

—

111

#399

—

112

#395

—

113

#393

—

114

#389

—

115

#382

—

116

#380

—

117

C₂²×Q₈

—

118

C₂³×C₄

C₂×D₆₇

yes

characteristic

119

C₄⋊Q₈

—

134

—

120

#117

—

121

C₂×C₄⋊C₄

—

122

C₂×C₄⋊C₄

—

123

C₂×C₄⋊C₄

—

124

C₂×C₄⋊C₄

—

125

C₂×C₄⋊C₄

C₂×D₆₇

yes

characteristic

126

C₂×C₄⋊C₄

C₂×D₆₇

yes

characteristic

127

C₂×C₂²⋊C₄

—

128

C₂×C₂²⋊C₄

C₂×D₆₇

yes

characteristic

129

C₂×C₂²⋊C₄

C₂×D₆₇

yes

characteristic

130

C₂×C₄²

C₂×D₆₇

yes

characteristic

131

C₂×C₄²

C₂×D₆₇

yes

characteristic

132

#95

—

133

#95

—

134

#95

—

135

#95

—

136

C₂⁴

C₂²×D₆₇

yes

characteristic

137

C₂×Q₈

—

268

—

138

C₂×Q₈

—

134

—

139

C₂²×C₄

—

140

C₂²×C₄

—

141

C₂²×C₄

—

142

C₂²×C₄

—

143

C₂²×C₄

Dic₁₃₄

yes

complemented

144

C₂²×C₄

C₂²×D₆₇

yes

characteristic

145

C₂²×C₄

C₂²×D₆₇

yes

characteristic

146

C₂²×C₄

C₂²×D₆₇

yes

characteristic

147

C₂²×C₄

C₂²×D₆₇

yes

characteristic

148

C₂²×C₄

C₂²×D₆₇

yes

characteristic

149

C₂²×C₄

C₂²×D₆₇

yes

characteristic

150

C₄⋊C₄

—

151

C₄⋊C₄

—

152

C₄⋊C₄

—

268

—

153

C₄⋊C₄

—

134

—

154

C₄⋊C₄

—

134

—

155

C₄⋊C₄

—

134

—

156

C₂²⋊C₄

—

157

C₂²⋊C₄

—

158

C₂²⋊C₄

—

268

—

159

C₄²

—

160

C₄²

C₂²⋊D₆₇

yes

—

161

C₂³

—

162

C₂³

—

163

C₂³

—

164

C₂³

—

165

C₂³

C₂×Dic₁₃₄

yes

—

166

C₂³

C₂³×D₆₇

yes

characteristic

167

Q₈

—

268

—

168

C₂×C₄

—

169

C₂×C₄

—

170

C₂×C₄

—

171

C₂×C₄

—

172

C₂×C₄

—

173

C₂×C₄

—

174

C₂×C₄

—

175

C₂×C₄

—

176

C₂×C₄

—

177

C₂×C₄

—

134

—

178

C₂×C₄

—

134

—

179

C₂×C₄

—

134

—

180

C₂×C₄

—

134

—

181

C₂×C₄

—

134

—

182

C₂×C₄

—

134

—

183

C₂×C₄

C₂×C₂²⋊D₆₇

yes

—

184

C₂×C₄

C₂×C₂²⋊D₆₇

yes

—

185

C₂×C₄

C₂×C₂²⋊D₆₇

yes

—

186

C₂×C₄

C₂×Dic₁₃₄

yes

—

187

C₂×C₄

C₂×Dic₁₃₄

yes

—

188

C₂×C₄

#11761628

yes

—

189

C₂²

—

190

C₂²

—

191

C₂²

—

192

C₂²

—

193

C₂²

—

194

C₂²

C₂²×C₂²⋊D₆₇

yes

characteristic

195

C₂²

C₂²×Dic₁₃₄

yes

characteristic

196

C₂²

C₂×#11761628

yes

characteristic

197

C₂²

#14524089

yes

—

198

C₂²

#14524090

yes

—

199

C₄

—

200

C₄

—

201

C₄

—

202

C₄

—

203

C₄

—

204

C₄

—

268

—

205

C₄

—

268

—

206

C₄

#14524022

yes

—

207

C₂

—

208

C₂

C₂×#14524022

yes

characteristic

209

C₂

#16863960

yes

characteristic

210

C₂

#16863967

yes

characteristic

211

C₂

#16864017

yes

—

212

C₂

#16864024

yes

—

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₆₇
commutator, socle	C₂³×C₆₇	C₂⁴
Fitting	C₂×#117×C₆₇	C₂
hypercenter	C₂×#117	D₆₇
hypocenter	C₆₇	#2628
LCS	G ▷ C₂³×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#117

subgroup

G/H

center, Frattini

C₂³

C₂³×D₆₇

commutator, socle

C₂³×C₆₇

C₂⁴

Fitting

C₂×#117×C₆₇

C₂

D₆₇

C₆₇

G ▷ C₂³×C₆₇ ▷ C₆₇

C₁ ◁ C₂³ ◁ C₂×#117

N	H ≅ G/N	type
1. C₂×#14524043	C₂	semidirect
2. #16863335	C₂	semidirect
4. #16863316	C₂	semidirect
6. #16863294	C₂	semidirect
7. #16863262	C₂	semidirect
41. C₂²×C₄×C₆₇	Q₈	semidirect
107. C₆₇	#2628	semidirect
143. C₂²×C₄	Dic₁₃₄	semidirect

H ≅ G/N

type

1. C₂×#14524043

C₂

semidirect

2. #16863335

C₂

semidirect

4. #16863316

C₂

semidirect

6. #16863294

C₂

semidirect

7. #16863262

C₂

semidirect

41. C₂²×C₄×C₆₇

Q₈

semidirect

107. C₆₇

#2628

semidirect

143. C₂²×C₄

Dic₁₃₄

semidirect

Subgroups — #22566030

Conjugacy classes of subgroups

Complements