Group #19139072 — subgroups

Subgroups — #19139072

Order 5504.

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

normal subgroups only

This group has 544 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	1	yes	maximal, characteristic
2	C₂×C₄⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#14582833	C₂	1	4	yes	maximal, complemented
4	#14582806	C₂	1	1	yes	maximal, characteristic, complemented
5	#14582773	C₂	1	4	yes	maximal
6	#14582769	C₂	1	1	yes	maximal, characteristic, complemented
7	#14582768	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄×(C₂×D₄₃)⋊C₄	C₂	1	1	yes	maximal, characteristic
9	C₄₃×#391	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₄×D₄₃	C₂²	1	1	yes	characteristic
11	C₂²×C₄×D₄₃	C₂²	1	2	yes	—
12	#13063301	—	2	4	no	—
13	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
14	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
15	C₂×C₄⋊Dic₄₃	C₂²	1	4	yes	—
16	C₂×Dic₄₃⋊C₄	C₂²	1	2	yes	—
17	C₂×Dic₄₃⋊C₄	C₂²	1	2	yes	—
18	C₂×Dic₄₃⋊C₄	C₂²	1	4	yes	—
19	C₄⋊C₄×D₄₃	—	2	4	no	—
20	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
21	C₂×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	—
22	C₂×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
23	C₄₃⋊#95	C₂²	1	4	yes	—
24	C₄₃⋊#95	C₂²	1	2	yes	—
25	C₂²×Q₈×C₄₃	C₂²	1	1	yes	characteristic
26	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
27	C₂×C₄²×C₄₃	C₂²	1	1	yes	characteristic
28	#95×C₄₃	C₂²	1	4	yes	—
29	C₂³×D₄₃	C₂³	1	1	yes	characteristic
30	C₂×Q₈×C₄₃	—	2	2	no	—
31	C₂×Q₈×C₄₃	—	2	2	no	—
32	C₂×Q₈×C₄₃	—	2	2	no	—
33	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
34	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
35	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
36	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
37	C₂²×Dic₄₃	C₂³	1	2	yes	—
38	C₂²×Dic₄₃	C₂³	1	2	yes	—
39	C₂²×Dic₄₃	C₂³	1	1	yes	characteristic
40	C₂²×Dic₄₃	C₂³	1	2	yes	—
41	C₂×C₄×D₄₃	—	2	2	no	—
42	C₂×C₄×D₄₃	—	2	2	no	—
43	C₂×C₄×D₄₃	—	2	4	no	—
44	C₂×C₄×D₄₃	—	4	4	no	—
45	C₂×C₄×D₄₃	D₄	1	4	yes	—
46	C₄⋊C₄×C₄₃	—	2	2	no	—
47	C₄²×C₄₃	—	2	2	no	—
48	(C₂×D₄₃)⋊C₄	—	2	4	no	—
49	(C₂×D₄₃)⋊C₄	Q₈	1	8	yes	complemented
50	C₄⋊Dic₄₃	—	2	2	no	—
51	C₄⋊Dic₄₃	—	2	2	no	—
52	C₄⋊Dic₄₃	—	4	4	no	—
53	Dic₄₃⋊C₄	—	2	4	no	—
54	Dic₄₃⋊C₄	—	2	4	no	—
55	Dic₄₃⋊C₄	—	4	4	no	—
56	C₄×Dic₄₃	—	2	2	no	—
57	C₂³×C₄₃	C₂⁴	1	1	yes	characteristic
58	C₂²×D₄₃	—	2	1	no	—
59	C₂²×D₄₃	—	2	1	no	—
60	C₂²×D₄₃	—	2	2	no	—
61	C₂²×D₄₃	C₂×D₄	1	2	yes	—
62	C₂²×D₄₃	C₂×Q₈	1	4	yes	—
63	Q₈×C₄₃	—	4	4	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	2	no	—
69	C₂×C₄×C₄₃	—	2	2	no	—
70	C₂×C₄×C₄₃	—	2	4	no	—
71	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
72	C₂×C₄×C₄₃	C₂×Q₈	1	4	yes	—
73	C₂×C₄×C₄₃	#41	1	2	yes	—
74	C₂×C₄×C₄₃	#41	1	2	yes	—
75	C₂×Dic₄₃	—	2	2	no	—
76	C₂×Dic₄₃	—	2	1	no	—
77	C₂×Dic₄₃	—	2	1	no	—
78	C₂×Dic₄₃	—	2	2	no	—
79	C₂×Dic₄₃	—	2	2	no	—
80	C₂×Dic₄₃	—	2	2	no	—
81	C₂×Dic₄₃	—	2	4	no	—
82	C₂×Dic₄₃	—	2	4	no	—
83	C₂×Dic₄₃	C₂×D₄	1	2	yes	—
84	C₂×Dic₄₃	C₂×Q₈	1	4	yes	—
85	C₄×D₄₃	—	2	8	no	—
86	C₄×D₄₃	—	4	8	no	—
87	C₂²×C₄₃	C₂²×D₄	1	1	yes	characteristic
88	C₂²×C₄₃	C₂²×Q₈	1	2	yes	—
89	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
90	C₂²×C₄₃	C₂×#41	1	1	yes	characteristic
91	C₂²×C₄₃	H(5,𝔽₂)	1	2	yes	—
92	C₂×D₄₃	—	2	2	no	—
93	C₂×D₄₃	—	2	2	no	—
94	C₂×D₄₃	—	2	4	no	—
95	C₂×D₄₃	—	2	4	no	—
96	C₂×D₄₃	C₄⋊Q₈	1	4	yes	—
97	C₄×C₄₃	—	2	4	no	—
98	C₄×C₄₃	—	4	2	no	—
99	C₄×C₄₃	—	4	2	no	—
100	C₄×C₄₃	#123	1	4	yes	—
101	Dic₄₃	—	2	2	no	—
102	Dic₄₃	—	2	4	no	—
103	Dic₄₃	—	4	2	no	—
104	Dic₄₃	—	4	2	no	—
105	#2502	—	43	1	no	maximal, Sylow
106	C₂×C₄₃	C₂×#123	1	1	yes	characteristic
107	C₂×C₄₃	C₂×C₄⋊Q₈	1	1	yes	characteristic
108	C₂×C₄₃	#535	1	1	yes	characteristic
109	C₂×C₄₃	#554	1	2	yes	—
110	C₂×C₄₃	#554	1	2	yes	—
111	D₄₃	—	2	4	no	—
112	C₂×C₂²⋊Q₈	—	43	1	no	—
113	C₂²×C₄⋊C₄	—	43	1	no	—
114	#398	—	43	4	no	—
115	#391	—	43	1	no	—
116	#391	D₄₃	1	1	yes	characteristic, complemented
117	#385	—	43	4	no	—
118	#384	—	43	1	no	—
119	#384	—	43	1	no	—
120	C₄×C₂²⋊C₄	—	43	1	no	—
121	C₄₃	#2502	1	1	yes	characteristic, complemented, Sylow
122	C₂²×Q₈	C₂×D₄₃	1	1	yes	characteristic
123	C₂³×C₄	—	43	1	no	—
124	C₂³×C₄	—	43	2	no	—
125	C₂²⋊Q₈	—	86	4	no	—
126	C₂×C₄⋊C₄	—	43	2	no	—
127	C₂×C₄⋊C₄	—	43	1	no	—
128	C₂×C₄⋊C₄	—	43	2	no	—
129	C₂×C₄⋊C₄	—	43	1	no	—
130	C₂×C₄⋊C₄	—	43	4	no	—
131	C₂×C₄⋊C₄	—	43	4	no	—
132	C₂×C₄⋊C₄	—	86	4	no	—
133	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
134	C₂×C₂²⋊C₄	—	43	2	no	—
135	C₂×C₂²⋊C₄	—	43	2	no	—
136	C₂×C₄²	—	43	1	no	—
137	C₂×C₄²	C₂×D₄₃	1	1	yes	characteristic
138	#95	—	43	2	no	—
139	#95	—	43	4	no	—
140	#95	C₂×D₄₃	1	4	yes	—
141	C₂⁴	—	43	1	no	—
142	C₂×Q₈	—	2	2	no	—
143	C₂×Q₈	—	2	2	no	—
144	C₂×Q₈	—	2	2	no	—
145	C₂²×C₄	—	43	2	no	—
146	C₂²×C₄	—	43	1	no	—
147	C₂²×C₄	—	43	4	no	—
148	C₂²×C₄	—	43	2	no	—
149	C₂²×C₄	—	43	2	no	—
150	C₂²×C₄	—	86	4	no	—
151	C₂²×C₄	—	86	2	no	—
152	C₂²×C₄	—	86	2	no	—
153	C₂²×C₄	—	172	4	no	—
154	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
155	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
156	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
157	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
158	C₄⋊C₄	—	2	2	no	—
159	C₄⋊C₄	—	86	4	no	—
160	C₄⋊C₄	—	86	4	no	—
161	C₄⋊C₄	—	86	2	no	—
162	C₄⋊C₄	—	86	2	no	—
163	C₄⋊C₄	—	172	4	no	—
164	C₄⋊C₄	—	172	4	no	—
165	C₂²⋊C₄	—	43	8	no	—
166	C₂²⋊C₄	—	86	4	no	—
167	C₄²	—	2	2	no	—
168	C₄²	—	86	2	no	—
169	C₂³	—	43	2	no	—
170	C₂³	—	43	4	no	—
171	C₂³	—	86	1	no	—
172	C₂³	—	86	1	no	—
173	C₂³	—	86	2	no	—
174	C₂³	C₂³×D₄₃	1	1	yes	characteristic
175	Q₈	—	4	4	no	—
176	C₂×C₄	—	2	2	no	—
177	C₂×C₄	—	2	2	no	—
178	C₂×C₄	—	2	2	no	—
179	C₂×C₄	—	2	2	no	—
180	C₂×C₄	—	2	2	no	—
181	C₂×C₄	—	2	2	no	—
182	C₂×C₄	—	2	4	no	—
183	C₂×C₄	—	43	2	no	—
184	C₂×C₄	—	43	4	no	—
185	C₂×C₄	—	86	1	no	—
186	C₂×C₄	—	86	2	no	—
187	C₂×C₄	—	86	1	no	—
188	C₂×C₄	—	86	2	no	—
189	C₂×C₄	—	86	8	no	—
190	C₂×C₄	—	86	2	no	—
191	C₂×C₄	—	86	2	no	—
192	C₂×C₄	—	86	4	no	—
193	C₂×C₄	—	86	4	no	—
194	C₂×C₄	—	172	8	no	—
195	C₂×C₄	#10621898	1	2	yes	—
196	C₂×C₄	D₄×D₄₃	1	2	yes	—
197	C₂×C₄	#10621900	1	2	yes	—
198	C₂×C₄	Q₈×D₄₃	1	4	yes	—
199	C₂²	—	43	4	no	—
200	C₂²	—	86	4	no	—
201	C₂²	—	86	4	no	—
202	C₂²	—	86	2	no	—
203	C₂²	—	86	2	no	—
204	C₂²	C₂×D₄×D₄₃	1	1	yes	characteristic
205	C₂²	C₂×Q₈×D₄₃	1	2	yes	—
206	C₂²	C₂×#10621900	1	1	yes	characteristic
207	C₂²	C₂×#10621898	1	1	yes	characteristic
208	C₂²	#13063371	1	2	yes	—
209	C₄	—	2	4	no	—
210	C₄	—	4	2	no	—
211	C₄	—	4	2	no	—
212	C₄	—	86	4	no	—
213	C₄	—	86	2	no	—
214	C₄	—	172	2	no	—
215	C₄	—	172	2	no	—
216	C₄	#13063307	1	4	yes	—
217	C₂	—	86	4	no	—
218	C₂	C₂×#13063307	1	1	yes	characteristic
219	C₂	C₄⋊Q₈×D₄₃	1	1	yes	characteristic
220	C₂	#14583467	1	1	yes	characteristic
221	C₂	#14583607	1	2	yes	—
222	C₂	#14583609	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#13063301

C₂

yes

maximal, characteristic

C₂×C₄⋊C₄×D₄₃

C₂

yes

maximal, characteristic

#14582833

C₂

yes

maximal, complemented

#14582806

C₂

yes

maximal, characteristic, complemented

#14582773

C₂

yes

maximal

#14582769

C₂

yes

maximal, characteristic, complemented

#14582768

C₂

yes

maximal, characteristic, complemented

C₄×(C₂×D₄₃)⋊C₄

C₂

yes

maximal, characteristic

C₄₃×#391

C₂

yes

maximal, characteristic, complemented

C₂²×C₄×D₄₃

C₂²

yes

characteristic

C₂²×C₄×D₄₃

C₂²

yes

—

#13063301

—

C₂×C₄⋊Dic₄₃

C₂²

yes

characteristic

C₂×C₄⋊Dic₄₃

C₂²

yes

characteristic

C₂×C₄⋊Dic₄₃

C₂²

yes

—

C₂×Dic₄₃⋊C₄

C₂²

yes

—

C₂×Dic₄₃⋊C₄

C₂²

yes

—

C₂×Dic₄₃⋊C₄

C₂²

yes

—

C₄⋊C₄×D₄₃

—

C₂×(C₂×D₄₃)⋊C₄

C₂²

yes

—

C₂×(C₂×D₄₃)⋊C₄

C₂²

yes

—

C₂×C₄×Dic₄₃

C₂²

yes

characteristic

C₄₃⋊#95

C₂²

yes

—

C₄₃⋊#95

C₂²

yes

—

C₂²×Q₈×C₄₃

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₄₃

C₂²

yes

characteristic

C₂×C₄²×C₄₃

C₂²

yes

characteristic

#95×C₄₃

C₂²

yes

—

C₂³×D₄₃

C₂³

yes

characteristic

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

—

C₂²×C₄×C₄₃

C₂³

yes

—

C₂²×C₄×C₄₃

C₂³

yes

—

C₂²×C₄×C₄₃

C₂³

yes

—

C₂²×C₄×C₄₃

C₂³

yes

characteristic

C₂²×Dic₄₃

C₂³

yes

—

C₂²×Dic₄₃

C₂³

yes

—

C₂²×Dic₄₃

C₂³

yes

characteristic

C₂²×Dic₄₃

C₂³

yes

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

D₄

yes

—

C₄⋊C₄×C₄₃

—

C₄²×C₄₃

—

(C₂×D₄₃)⋊C₄

—

(C₂×D₄₃)⋊C₄

Q₈

yes

complemented

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

—

Dic₄₃⋊C₄

—

C₄×Dic₄₃

—

C₂³×C₄₃

C₂⁴

yes

characteristic

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

C₂×D₄

yes

—

C₂²×D₄₃

C₂×Q₈

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×C₄×C₄₃

C₂×D₄

yes

—

C₂×C₄×C₄₃

C₂×Q₈

yes

—

C₂×C₄×C₄₃

#41

yes

—

C₂×C₄×C₄₃

#41

yes

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

C₂×D₄

yes

—

C₂×Dic₄₃

C₂×Q₈

yes

—

C₄×D₄₃

—

C₄×D₄₃

—

C₂²×C₄₃

C₂²×D₄

yes

characteristic

C₂²×C₄₃

C₂²×Q₈

yes

—

C₂²×C₄₃

C₂×#41

yes

characteristic

C₂²×C₄₃

C₂×#41

yes

characteristic

C₂²×C₄₃

H(5,𝔽₂)

yes

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

C₄⋊Q₈

yes

—

C₄×C₄₃

—

C₄×C₄₃

—

C₄×C₄₃

—

100

C₄×C₄₃

#123

yes

—

101

Dic₄₃

—

102

Dic₄₃

—

103

Dic₄₃

—

104

Dic₄₃

—

105

#2502

—

maximal, Sylow

106

C₂×C₄₃

C₂×#123

yes

characteristic

107

C₂×C₄₃

C₂×C₄⋊Q₈

yes

characteristic

108

C₂×C₄₃

#535

yes

characteristic

109

C₂×C₄₃

#554

yes

—

110

C₂×C₄₃

#554

yes

—

111

D₄₃

—

112

C₂×C₂²⋊Q₈

—

113

C₂²×C₄⋊C₄

—

114

#398

—

115

#391

—

116

#391

D₄₃

yes

characteristic, complemented

117

#385

—

118

#384

—

119

#384

—

120

C₄×C₂²⋊C₄

—

121

C₄₃

#2502

yes

characteristic, complemented, Sylow

122

C₂²×Q₈

C₂×D₄₃

yes

characteristic

123

C₂³×C₄

—

124

C₂³×C₄

—

125

C₂²⋊Q₈

—

126

C₂×C₄⋊C₄

—

127

C₂×C₄⋊C₄

—

128

C₂×C₄⋊C₄

—

129

C₂×C₄⋊C₄

—

130

C₂×C₄⋊C₄

—

131

C₂×C₄⋊C₄

—

132

C₂×C₄⋊C₄

—

133

C₂×C₄⋊C₄

C₂×D₄₃

yes

characteristic

134

C₂×C₂²⋊C₄

—

135

C₂×C₂²⋊C₄

—

136

C₂×C₄²

—

137

C₂×C₄²

C₂×D₄₃

yes

characteristic

138

#95

—

139

#95

—

140

#95

C₂×D₄₃

yes

—

141

C₂⁴

—

142

C₂×Q₈

—

143

C₂×Q₈

—

144

C₂×Q₈

—

145

C₂²×C₄

—

146

C₂²×C₄

—

147

C₂²×C₄

—

148

C₂²×C₄

—

149

C₂²×C₄

—

150

C₂²×C₄

—

151

C₂²×C₄

—

152

C₂²×C₄

—

153

C₂²×C₄

—

172

—

154

C₂²×C₄

C₂²×D₄₃

yes

—

155

C₂²×C₄

C₂²×D₄₃

yes

—

156

C₂²×C₄

C₂²×D₄₃

yes

—

157

C₂²×C₄

C₂²×D₄₃

yes

characteristic

158

C₄⋊C₄

—

159

C₄⋊C₄

—

160

C₄⋊C₄

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₄⋊C₄

—

172

—

164

C₄⋊C₄

—

172

—

165

C₂²⋊C₄

—

166

C₂²⋊C₄

—

167

C₄²

—

168

C₄²

—

169

C₂³

—

170

C₂³

—

171

C₂³

—

172

C₂³

—

173

C₂³

—

174

C₂³

C₂³×D₄₃

yes

characteristic

175

Q₈

—

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

—

188

C₂×C₄

—

189

C₂×C₄

—

190

C₂×C₄

—

191

C₂×C₄

—

192

C₂×C₄

—

193

C₂×C₄

—

194

C₂×C₄

—

172

—

195

C₂×C₄

#10621898

yes

—

196

C₂×C₄

D₄×D₄₃

yes

—

197

C₂×C₄

#10621900

yes

—

198

C₂×C₄

Q₈×D₄₃

yes

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

—

204

C₂²

C₂×D₄×D₄₃

yes

characteristic

205

C₂²

C₂×Q₈×D₄₃

yes

—

206

C₂²

C₂×#10621900

yes

characteristic

207

C₂²

C₂×#10621898

yes

characteristic

208

C₂²

#13063371

yes

—

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₄

—

214

C₄

—

172

—

215

C₄

—

172

—

216

C₄

#13063307

yes

—

217

C₂

—

218

C₂

C₂×#13063307

yes

characteristic

219

C₂

C₄⋊Q₈×D₄₃

yes

characteristic

220

C₂

#14583467

yes

characteristic

221

C₂

#14583607

yes

—

222

C₂

#14583609

yes

—

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₄₃
commutator, socle	C₂³×C₄₃	C₂⁴
Fitting	C₄₃×#391	C₂
hypercenter	#391	D₄₃
hypocenter	C₄₃	#2502
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #391

subgroup

G/H

center, Frattini

C₂³

C₂³×D₄₃

commutator, socle

C₂³×C₄₃

C₂⁴

Fitting

C₄₃×#391

C₂

D₄₃

C₄₃

G ▷ C₂³×C₄₃ ▷ C₄₃

C₁ ◁ C₂³ ◁ #391

N	H ≅ G/N	type
3. #14582833	C₂	semidirect
4. #14582806	C₂	semidirect
6. #14582769	C₂	semidirect
7. #14582768	C₂	semidirect
9. C₄₃×#391	C₂	semidirect
49. (C₂×D₄₃)⋊C₄	Q₈	semidirect
116. #391	D₄₃	semidirect
121. C₄₃	#2502	semidirect

H ≅ G/N

type

3. #14582833

C₂

semidirect

4. #14582806

C₂

semidirect

6. #14582769

C₂

semidirect

7. #14582768

C₂

semidirect

9. C₄₃×#391

C₂

semidirect

49. (C₂×D₄₃)⋊C₄

Q₈

semidirect

116. #391

D₄₃

semidirect

121. C₄₃

#2502

semidirect

Subgroups — #19139072

Conjugacy classes of subgroups

Complements