Group #19139500 — subgroups

Subgroups — #19139500

Order 5504.

604 conjugacy classes of subgroups; only the 169 normal subgroups are shown.

normal subgroups only

This group has 604 conjugacy classes of subgroups — too many to draw. Only its 169 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×#13063301	C₂	1	2	yes	maximal, complemented
2	C₂×C₄×D₁₇₂	C₂	1	1	yes	maximal, characteristic
3	#14582829	C₂	1	2	yes	maximal, complemented
4	#14582816	C₂	1	2	yes	maximal
5	#14582790	C₂	1	4	yes	maximal, complemented
6	#14582765	C₂	1	1	yes	maximal, characteristic, complemented
7	#14582756	C₂	1	2	yes	maximal, complemented
8	C₂×C₄×Q₈×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×D₁₇₂	C₂²	1	1	yes	characteristic
10	C₂²×C₄×D₄₃	C₂²	1	2	yes	—
11	#13063301	—	2	8	no	—
12	C₄×D₁₇₂	—	2	4	no	—
13	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
14	C₂×C₄⋊Dic₄₃	C₂²	1	2	yes	—
15	C₂×Dic₄₃⋊C₄	C₂²	1	4	yes	—
16	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
17	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	4	yes	—
18	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	4	yes	—
19	C₄₃⋊#95	C₂²	1	2	yes	—
20	C₄₃⋊#95	C₂²	1	4	yes	—
21	C₄₃⋊#95	C₂²	1	2	yes	—
22	C₂²×Q₈×C₄₃	C₂²	1	1	yes	characteristic
23	C₄×Q₈×C₄₃	—	2	4	no	—
24	C₂×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
25	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
26	C₂×C₄²×C₄₃	C₂²	1	2	yes	—
27	C₂×C₄²×C₄₃	C₂²	1	1	yes	characteristic
28	C₂³×D₄₃	C₂³	1	2	yes	—
29	C₂×Q₈×C₄₃	—	2	2	no	—
30	C₂×Q₈×C₄₃	—	2	2	no	—
31	C₂×Q₈×C₄₃	D₄	1	4	yes	complemented
32	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
33	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
34	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
35	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
36	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
37	C₂²×Dic₄₃	C₂³	1	4	yes	—
38	C₂²×Dic₄₃	C₂³	1	2	yes	—
39	C₂×D₁₇₂	—	2	2	no	—
40	C₂×D₁₇₂	—	2	4	no	—
41	C₂×C₄×D₄₃	—	2	4	no	—
42	C₂×C₄×D₄₃	—	2	4	no	—
43	C₂×C₄×D₄₃	—	2	4	no	—
44	C₄⋊C₄×C₄₃	—	2	4	no	—
45	C₄⋊C₄×C₄₃	—	2	2	no	—
46	C₄²×C₄₃	—	2	4	no	—
47	C₄²×C₄₃	D₄	1	4	yes	—
48	(C₂×D₄₃)⋊C₄	—	2	4	no	—
49	(C₂×D₄₃)⋊C₄	—	2	8	no	—
50	(C₂×D₄₃)⋊C₄	—	2	8	no	—
51	C₄⋊Dic₄₃	—	2	2	no	—
52	C₄⋊Dic₄₃	—	2	4	no	—
53	Dic₄₃⋊C₄	—	2	8	no	—
54	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
55	C₂²×D₄₃	—	2	2	no	—
56	C₂²×D₄₃	—	2	2	no	—
57	C₂²×D₄₃	—	2	2	no	—
58	C₂²×D₄₃	—	2	2	no	—
59	C₂²×D₄₃	—	2	2	no	—
60	C₂²×D₄₃	—	2	2	no	—
61	C₂²×D₄₃	#41	1	4	yes	—
62	Q₈×C₄₃	—	2	8	no	—
63	C₂×C₄×C₄₃	—	2	2	no	—
64	C₂×C₄×C₄₃	—	2	2	no	—
65	C₂×C₄×C₄₃	—	2	2	no	—
66	C₂×C₄×C₄₃	—	2	2	no	—
67	C₂×C₄×C₄₃	—	2	2	no	—
68	C₂×C₄×C₄₃	—	2	4	no	—
69	C₂×C₄×C₄₃	C₂×D₄	1	4	yes	—
70	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
71	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
72	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
73	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
74	C₂×C₄×C₄₃	#41	1	2	yes	—
75	C₂×Dic₄₃	—	2	2	no	—
76	C₂×Dic₄₃	—	2	4	no	—
77	C₂×Dic₄₃	—	2	2	no	—
78	C₂×Dic₄₃	—	2	4	no	—
79	C₂×Dic₄₃	—	2	2	no	—
80	C₂×Dic₄₃	—	2	4	no	—
81	D₁₇₂	—	2	8	no	—
82	C₄×D₄₃	—	4	8	no	—
83	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
84	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
85	C₂²×C₄₃	C₂×#41	1	2	yes	—
86	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
87	C₂²×C₄₃	2₋¹⁺⁴	1	2	yes	—
88	C₂×D₄₃	—	2	4	no	—
89	C₂×D₄₃	—	2	4	no	—
90	C₂×D₄₃	—	2	4	no	—
91	C₂×D₄₃	—	4	2	no	—
92	C₂×D₄₃	—	4	2	no	—
93	C₂×D₄₃	—	4	2	no	—
94	C₂×D₄₃	—	4	2	no	—
95	C₄×C₄₃	—	2	4	no	—
96	C₄×C₄₃	—	2	2	no	—
97	C₄×C₄₃	—	2	2	no	—
98	C₄×C₄₃	—	4	2	no	—
99	C₄×C₄₃	#121	1	4	yes	—
100	Dic₄₃	—	4	2	no	—
101	Dic₄₃	—	4	4	no	—
102	#2536	—	43	1	no	maximal, Sylow
103	C₂×C₄₃	C₂×#121	1	1	yes	characteristic
104	C₂×C₄₃	#525	1	1	yes	characteristic
105	C₂×C₄₃	#536	1	1	yes	characteristic
106	C₂×C₄₃	#548	1	2	yes	—
107	C₂×C₄₃	#552	1	2	yes	—
108	D₄₃	—	4	4	no	—
109	C₂×C₂²⋊Q₈	—	43	2	no	—
110	C₂×C₄×Q₈	D₄₃	1	1	yes	characteristic, complemented
111	C₂×C₄×D₄	—	43	1	no	—
112	#398	—	43	2	no	—
113	#394	—	43	2	no	—
114	#388	—	43	4	no	—
115	#382	—	43	1	no	—
116	#380	—	43	2	no	—
117	C₄₃	#2536	1	1	yes	characteristic, complemented, Sylow
118	C₂²×Q₈	C₂×D₄₃	1	1	yes	characteristic
119	C₂²×D₄	—	43	1	no	—
120	C₂³×C₄	—	43	2	no	—
121	C₂²⋊Q₈	—	86	8	no	—
122	C₄×Q₈	—	2	4	no	—
123	C₄×D₄	—	86	4	no	—
124	C₂×C₄⋊C₄	—	43	1	no	—
125	C₂×C₄⋊C₄	—	43	4	no	—
126	C₂×C₄⋊C₄	—	43	2	no	—
127	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
128	C₂×C₄⋊C₄	C₂×D₄₃	1	2	yes	—
129	C₂×C₂²⋊C₄	—	43	2	no	—
130	C₂×C₂²⋊C₄	—	43	4	no	—
131	C₂×C₂²⋊C₄	—	43	4	no	—
132	C₂×C₄²	C₂×D₄₃	1	2	yes	—
133	C₂×C₄²	C₂×D₄₃	1	1	yes	characteristic
134	#95	—	43	4	no	—
135	#95	—	43	2	no	—
136	#95	—	43	2	no	—
137	C₂⁴	—	43	2	no	—
138	C₂×Q₈	—	2	2	no	—
139	C₂×Q₈	—	2	2	no	—
140	C₂×Q₈	D₁₇₂	1	4	yes	complemented
141	C₂×D₄	—	86	4	no	—
142	C₂×D₄	—	86	2	no	—
143	C₂²×C₄	—	43	4	no	—
144	C₂²×C₄	—	43	2	no	—
145	C₂²×C₄	—	86	4	no	—
146	C₂²×C₄	—	86	4	no	—
147	C₂²×C₄	—	86	4	no	—
148	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
149	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
150	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
151	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
152	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
153	C₄⋊C₄	—	2	4	no	—
154	C₄⋊C₄	—	2	2	no	—
155	C₄⋊C₄	—	86	8	no	—
156	C₄⋊C₄	—	86	4	no	—
157	C₄⋊C₄	—	86	2	no	—
158	C₂²⋊C₄	—	86	8	no	—
159	C₂²⋊C₄	—	86	8	no	—
160	C₂²⋊C₄	—	86	4	no	—
161	C₄²	—	2	4	no	—
162	C₄²	C₂²⋊D₄₃	1	4	yes	—
163	C₂³	—	43	4	no	—
164	C₂³	—	86	2	no	—
165	C₂³	—	86	2	no	—
166	C₂³	—	86	2	no	—
167	C₂³	—	86	2	no	—
168	C₂³	—	86	2	no	—
169	C₂³	—	86	2	no	—
170	C₂³	C₂³×D₄₃	1	1	yes	characteristic
171	Q₈	—	2	8	no	—
172	D₄	—	86	8	no	—
173	C₂×C₄	—	2	2	no	—
174	C₂×C₄	—	2	2	no	—
175	C₂×C₄	—	2	2	no	—
176	C₂×C₄	—	2	2	no	—
177	C₂×C₄	—	2	2	no	—
178	C₂×C₄	—	2	4	no	—
179	C₂×C₄	—	86	2	no	—
180	C₂×C₄	—	86	4	no	—
181	C₂×C₄	—	86	2	no	—
182	C₂×C₄	—	86	4	no	—
183	C₂×C₄	—	86	2	no	—
184	C₂×C₄	—	86	4	no	—
185	C₂×C₄	—	172	8	no	—
186	C₂×C₄	C₂×D₁₇₂	1	4	yes	—
187	C₂×C₄	C₂×D₁₇₂	1	2	yes	—
188	C₂×C₄	#10621898	1	2	yes	—
189	C₂×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
190	C₂×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
191	C₂×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
192	C₂²	—	86	4	no	—
193	C₂²	—	86	4	no	—
194	C₂²	—	86	4	no	—
195	C₂²	—	172	2	no	—
196	C₂²	—	172	2	no	—
197	C₂²	—	172	2	no	—
198	C₂²	—	172	2	no	—
199	C₂²	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
200	C₂²	C₂²×D₁₇₂	1	1	yes	characteristic
201	C₂²	#41×D₄₃	1	2	yes	—
202	C₂²	C₂×#10621898	1	1	yes	characteristic
203	C₂²	#13063373	1	2	yes	—
204	C₄	—	2	4	no	—
205	C₄	—	2	2	no	—
206	C₄	—	2	2	no	—
207	C₄	—	4	2	no	—
208	C₄	—	172	4	no	—
209	C₄	—	172	2	no	—
210	C₄	#13063299	1	4	yes	—
211	C₂	—	172	4	no	—
212	C₂	C₂×#13063299	1	1	yes	characteristic
213	C₂	#14583406	1	1	yes	characteristic
214	C₂	#14583473	1	1	yes	characteristic
215	C₂	#14583561	1	2	yes	—
216	C₂	#14583590	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#13063301

C₂

yes

maximal, complemented

C₂×C₄×D₁₇₂

C₂

yes

maximal, characteristic

#14582829

C₂

yes

maximal, complemented

#14582816

C₂

yes

maximal

#14582790

C₂

yes

maximal, complemented

#14582765

C₂

yes

maximal, characteristic, complemented

#14582756

C₂

yes

maximal, complemented

C₂×C₄×Q₈×C₄₃

C₂

yes

maximal, characteristic, complemented

C₂²×D₁₇₂

C₂²

yes

characteristic

C₂²×C₄×D₄₃

C₂²

yes

—

#13063301

—

C₄×D₁₇₂

—

C₂×C₄⋊Dic₄₃

C₂²

yes

characteristic

C₂×C₄⋊Dic₄₃

C₂²

yes

—

C₂×Dic₄₃⋊C₄

C₂²

yes

—

C₂×(C₂×D₄₃)⋊C₄

C₂²

yes

—

C₂×(C₂×D₄₃)⋊C₄

C₂²

yes

—

C₂×(C₂×D₄₃)⋊C₄

C₂²

yes

—

C₄₃⋊#95

C₂²

yes

—

C₄₃⋊#95

C₂²

yes

—

C₄₃⋊#95

C₂²

yes

—

C₂²×Q₈×C₄₃

C₂²

yes

characteristic

C₄×Q₈×C₄₃

—

C₂×C₄⋊C₄×C₄₃

C₂²

yes

—

C₂×C₄⋊C₄×C₄₃

C₂²

yes

characteristic

C₂×C₄²×C₄₃

C₂²

yes

—

C₂×C₄²×C₄₃

C₂²

yes

characteristic

C₂³×D₄₃

C₂³

yes

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

D₄

yes

complemented

C₂²×C₄×C₄₃

C₂³

yes

—

C₂²×C₄×C₄₃

C₂³

yes

characteristic

C₂²×C₄×C₄₃

C₂³

yes

characteristic

C₂²×C₄×C₄₃

C₂³

yes

—

C₂²×C₄×C₄₃

C₂³

yes

characteristic

C₂²×Dic₄₃

C₂³

yes

—

C₂²×Dic₄₃

C₂³

yes

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₄²×C₄₃

—

C₄²×C₄₃

D₄

yes

—

(C₂×D₄₃)⋊C₄

—

(C₂×D₄₃)⋊C₄

—

(C₂×D₄₃)⋊C₄

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

Dic₄₃⋊C₄

—

C₂³×C₄₃

C₂⁴

yes

characteristic

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

#41

yes

—

Q₈×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂×D₄

yes

—

C₂×C₄×C₄₃

C₂×D₄

yes

—

C₂×C₄×C₄₃

C₂×D₄

yes

—

C₂×C₄×C₄₃

C₂×D₄

yes

—

C₂×C₄×C₄₃

C₂×D₄

yes

—

C₂×C₄×C₄₃

#41

yes

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

D₁₇₂

—

C₄×D₄₃

—

C₂²×C₄₃

C₂²×D₄

yes

characteristic

C₂²×C₄₃

C₂²×D₄

yes

characteristic

C₂²×C₄₃

C₂×#41

yes

—

C₂²×C₄₃

C₂×#41

yes

characteristic

C₂²×C₄₃

2₋¹⁺⁴

yes

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₄×C₄₃

—

C₄×C₄₃

—

C₄×C₄₃

—

C₄×C₄₃

—

C₄×C₄₃

#121

yes

—

100

Dic₄₃

—

101

Dic₄₃

—

102

#2536

—

maximal, Sylow

103

C₂×C₄₃

C₂×#121

yes

characteristic

104

C₂×C₄₃

#525

yes

characteristic

105

C₂×C₄₃

#536

yes

characteristic

106

C₂×C₄₃

#548

yes

—

107

C₂×C₄₃

#552

yes

—

108

D₄₃

—

109

C₂×C₂²⋊Q₈

—

110

C₂×C₄×Q₈

D₄₃

yes

characteristic, complemented

111

C₂×C₄×D₄

—

112

#398

—

113

#394

—

114

#388

—

115

#382

—

116

#380

—

117

C₄₃

#2536

yes

characteristic, complemented, Sylow

118

C₂²×Q₈

C₂×D₄₃

yes

characteristic

119

C₂²×D₄

—

120

C₂³×C₄

—

121

C₂²⋊Q₈

—

122

C₄×Q₈

—

123

C₄×D₄

—

124

C₂×C₄⋊C₄

—

125

C₂×C₄⋊C₄

—

126

C₂×C₄⋊C₄

—

127

C₂×C₄⋊C₄

C₂×D₄₃

yes

characteristic

128

C₂×C₄⋊C₄

C₂×D₄₃

yes

—

129

C₂×C₂²⋊C₄

—

130

C₂×C₂²⋊C₄

—

131

C₂×C₂²⋊C₄

—

132

C₂×C₄²

C₂×D₄₃

yes

—

133

C₂×C₄²

C₂×D₄₃

yes

characteristic

134

#95

—

135

#95

—

136

#95

—

137

C₂⁴

—

138

C₂×Q₈

—

139

C₂×Q₈

—

140

C₂×Q₈

D₁₇₂

yes

complemented

141

C₂×D₄

—

142

C₂×D₄

—

143

C₂²×C₄

—

144

C₂²×C₄

—

145

C₂²×C₄

—

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

C₂²×D₄₃

yes

—

149

C₂²×C₄

C₂²×D₄₃

yes

—

150

C₂²×C₄

C₂²×D₄₃

yes

characteristic

151

C₂²×C₄

C₂²×D₄₃

yes

characteristic

152

C₂²×C₄

C₂²×D₄₃

yes

characteristic

153

C₄⋊C₄

—

154

C₄⋊C₄

—

155

C₄⋊C₄

—

156

C₄⋊C₄

—

157

C₄⋊C₄

—

158

C₂²⋊C₄

—

159

C₂²⋊C₄

—

160

C₂²⋊C₄

—

161

C₄²

—

162

C₄²

C₂²⋊D₄₃

yes

—

163

C₂³

—

164

C₂³

—

165

C₂³

—

166

C₂³

—

167

C₂³

—

168

C₂³

—

169

C₂³

—

170

C₂³

C₂³×D₄₃

yes

characteristic

171

Q₈

—

172

D₄

—

173

C₂×C₄

—

174

C₂×C₄

—

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

—

172

—

186

C₂×C₄

C₂×D₁₇₂

yes

—

187

C₂×C₄

C₂×D₁₇₂

yes

—

188

C₂×C₄

#10621898

yes

—

189

C₂×C₄

C₂×C₂²⋊D₄₃

yes

—

190

C₂×C₄

C₂×C₂²⋊D₄₃

yes

—

191

C₂×C₄

C₂×C₂²⋊D₄₃

yes

—

192

C₂²

—

193

C₂²

—

194

C₂²

—

195

C₂²

—

172

—

196

C₂²

—

172

—

197

C₂²

—

172

—

198

C₂²

—

172

—

199

C₂²

C₂²×C₂²⋊D₄₃

yes

characteristic

200

C₂²

C₂²×D₁₇₂

yes

characteristic

201

C₂²

#41×D₄₃

yes

—

202

C₂²

C₂×#10621898

yes

characteristic

203

C₂²

#13063373

yes

—

204

C₄

—

205

C₄

—

206

C₄

—

207

C₄

—

208

C₄

—

172

—

209

C₄

—

172

—

210

C₄

#13063299

yes

—

211

C₂

—

172

—

212

C₂

C₂×#13063299

yes

characteristic

213

C₂

#14583406

yes

characteristic

214

C₂

#14583473

yes

characteristic

215

C₂

#14583561

yes

—

216

C₂

#14583590

yes

—

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₄₃
commutator, socle	C₂³×C₄₃	C₂⁴
Fitting	C₂×C₄×Q₈×C₄₃	C₂
hypercenter	C₂×C₄×Q₈	D₄₃
hypocenter	C₄₃	#2536
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄×Q₈

subgroup

G/H

center, Frattini

C₂³

C₂³×D₄₃

commutator, socle

C₂³×C₄₃

C₂⁴

Fitting

C₂×C₄×Q₈×C₄₃

C₂

hypercenter

C₂×C₄×Q₈

D₄₃

C₄₃

G ▷ C₂³×C₄₃ ▷ C₄₃

C₁ ◁ C₂³ ◁ C₂×C₄×Q₈

N	H ≅ G/N	type
1. C₂×#13063301	C₂	semidirect
3. #14582829	C₂	semidirect
5. #14582790	C₂	semidirect
6. #14582765	C₂	semidirect
7. #14582756	C₂	semidirect
8. C₂×C₄×Q₈×C₄₃	C₂	semidirect
31. C₂×Q₈×C₄₃	D₄	semidirect
110. C₂×C₄×Q₈	D₄₃	semidirect
117. C₄₃	#2536	semidirect
140. C₂×Q₈	D₁₇₂	semidirect

H ≅ G/N

type

1. C₂×#13063301

C₂

semidirect

3. #14582829

C₂

semidirect

5. #14582790

C₂

semidirect

6. #14582765

C₂

semidirect

7. #14582756

C₂

semidirect

8. C₂×C₄×Q₈×C₄₃

C₂

semidirect

31. C₂×Q₈×C₄₃

D₄

semidirect

110. C₂×C₄×Q₈

D₄₃

semidirect

117. C₄₃

#2536

semidirect

140. C₂×Q₈

D₁₇₂

semidirect

Subgroups — #19139500

Conjugacy classes of subgroups

Complements