Group #19143030 — subgroups

Subgroups — C₂×#14582862 #19143030

Order 5504.

1008 conjugacy classes of subgroups; only the 285 normal subgroups are shown.

normal subgroups only

This group has 1008 conjugacy classes of subgroups — too many to draw. Only its 285 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	C₂³×C₄×D₄₃	C₂	1	1	yes	maximal, characteristic
2	C₂²×#10621877	C₂	1	1	yes	maximal, characteristic, complemented
3	#14582862	C₂	1	8	yes	maximal, direct product factor
4	C₂×(C₂×D₄₃)⋊C₈	C₂	1	4	yes	maximal, complemented
5	C₂²×M₁₆×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂⁴×D₄₃	C₄	1	1	yes	characteristic
7	C₂³×Dic₄₃	C₄	1	1	yes	characteristic
8	C₂²×C₄×D₄₃	—	2	4	no	—
9	C₂²×C₄×D₄₃	—	2	4	no	—
10	C₂²×C₄×D₄₃	C₄	1	4	yes	—
11	C₂²×C₄×D₄₃	C₄	1	2	yes	—
12	C₂²×C₄×D₄₃	C₂²	1	2	yes	—
13	C₂²×C₄×D₄₃	C₂²	1	4	yes	—
14	C₂×#10621877	—	2	4	no	—
15	C₂×#10621877	C₂²	1	4	yes	complemented
16	C₂²×C₄₃⋊C₈	C₂²	1	2	yes	complemented
17	(C₂×D₄₃)⋊C₈	C₂²	1	16	yes	complemented
18	C₂³×C₄×C₄₃	C₂²	1	1	yes	characteristic
19	C₂×M₁₆×C₄₃	—	2	4	no	—
20	C₂×M₁₆×C₄₃	C₂²	1	4	yes	complemented
21	C₂²×C₈×C₄₃	C₂²	1	2	yes	complemented
22	C₂⁴×C₄₃	C₂×C₄	1	1	yes	characteristic
23	C₂³×D₄₃	—	2	4	no	—
24	C₂³×D₄₃	—	2	8	no	—
25	C₂³×D₄₃	C₂×C₄	1	4	yes	—
26	C₂³×D₄₃	C₂×C₄	1	2	yes	—
27	C₂²×C₄×C₄₃	C₂×C₄	1	2	yes	—
28	C₂²×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
29	C₂²×C₄×C₄₃	D₄	1	4	yes	—
30	C₂²×C₄×C₄₃	D₄	1	4	yes	—
31	C₂²×C₄×C₄₃	C₂³	1	2	yes	—
32	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
33	C₂²×Dic₄₃	—	2	4	no	—
34	C₂²×Dic₄₃	C₂×C₄	1	4	yes	—
35	C₂²×Dic₄₃	C₂×C₄	1	2	yes	—
36	C₂×C₄×D₄₃	—	2	16	no	—
37	C₂×C₄×D₄₃	—	2	8	no	—
38	C₂×C₄×D₄₃	—	2	4	no	—
39	C₂×C₄×D₄₃	—	2	8	no	—
40	C₂×C₄×D₄₃	—	2	4	no	—
41	C₂×C₄×D₄₃	—	2	8	no	—
42	C₂×C₄×D₄₃	C₂×C₄	1	4	yes	—
43	C₂×C₄×D₄₃	C₂×C₄	1	8	yes	—
44	C₂×C₄×D₄₃	C₂³	1	4	yes	—
45	M₁₆×C₄₃	—	2	8	no	—
46	C₂×C₈×C₄₃	—	2	4	no	—
47	C₂×C₈×C₄₃	C₂³	1	4	yes	complemented
48	#10621877	—	2	8	no	—
49	C₂×C₄₃⋊C₈	—	2	4	no	—
50	C₂×C₄₃⋊C₈	C₂³	1	4	yes	complemented
51	C₂³×C₄₃	—	2	4	no	—
52	C₂³×C₄₃	C₂²⋊C₄	1	4	yes	—
53	C₂³×C₄₃	C₂²×C₄	1	2	yes	—
54	C₂³×C₄₃	C₂²×C₄	1	1	yes	characteristic
55	C₂²×D₄₃	—	2	32	no	—
56	C₂²×D₄₃	—	2	8	no	—
57	C₂²×D₄₃	—	2	4	no	—
58	C₂²×D₄₃	—	2	4	no	—
59	C₂²×D₄₃	—	2	16	no	—
60	C₂²×D₄₃	M₁₆	1	8	yes	complemented
61	C₂²×D₄₃	C₂²×C₄	1	4	yes	—
62	C₂×C₄×C₄₃	C₂²⋊C₄	1	8	yes	—
63	C₂×C₄×C₄₃	C₂²⋊C₄	1	4	yes	—
64	C₂×C₄×C₄₃	C₂²×C₄	1	2	yes	—
65	C₂×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
66	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
67	C₂×C₄×C₄₃	C₂×D₄	1	4	yes	—
68	C₂×C₄×C₄₃	C₂×D₄	1	2	yes	—
69	C₂×C₄×C₄₃	C₂×D₄	1	4	yes	—
70	C₂×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
71	C₂×Dic₄₃	—	2	8	no	—
72	C₂×Dic₄₃	—	2	4	no	—
73	C₂×Dic₄₃	C₂²×C₄	1	4	yes	—
74	C₄×D₄₃	—	2	8	no	—
75	C₄×D₄₃	—	2	16	no	—
76	C₄×D₄₃	—	2	4	no	—
77	C₄×D₄₃	—	2	4	no	—
78	C₈×C₄₃	—	2	4	no	—
79	C₄₃⋊C₈	—	2	4	no	—
80	C₂²×C₄₃	—	2	4	no	—
81	C₂²×C₄₃	—	2	8	no	—
82	C₂²×C₄₃	C₂×C₂²⋊C₄	1	4	yes	—
83	C₂²×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
84	C₂²×C₄₃	C₂×M₁₆	1	4	yes	—
85	C₂²×C₄₃	C₂³×C₄	1	1	yes	characteristic
86	C₂×D₄₃	—	2	32	no	—
87	C₂×D₄₃	—	2	4	no	—
88	C₂×D₄₃	—	2	4	no	—
89	C₂×D₄₃	—	2	16	no	—
90	C₂×D₄₃	C₂×M₁₆	1	8	yes	complemented
91	C₄×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
92	C₄×C₄₃	C₂×C₂²⋊C₄	1	4	yes	—
93	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
94	C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
95	Dic₄₃	—	2	4	no	—
96	C₂×#407	—	43	1	no	maximal, Sylow
97	C₂×C₄₃	—	2	4	no	—
98	C₂×C₄₃	#407	1	4	yes	complemented
99	C₂×C₄₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
100	C₂×C₄₃	C₂²×M₁₆	1	2	yes	—
101	D₄₃	—	2	8	no	—
102	C₂⁴×C₄	—	43	1	no	—
103	C₂²×M₁₆	—	43	1	no	—
104	C₂²×M₁₆	D₄₃	1	1	yes	characteristic, complemented
105	#407	—	43	8	no	—
106	C₂×C₂²⋊C₈	—	43	4	no	—
107	C₄₃	C₂×#407	1	1	yes	characteristic, complemented, Sylow
108	C₂⁵	—	43	1	no	—
109	C₂³×C₄	—	43	1	no	—
110	C₂³×C₄	—	43	4	no	—
111	C₂³×C₄	—	43	2	no	—
112	C₂³×C₄	—	43	2	no	—
113	C₂³×C₄	—	43	4	no	—
114	C₂³×C₄	—	86	4	no	—
115	C₂³×C₄	—	86	4	no	—
116	C₂³×C₄	C₂×D₄₃	1	1	yes	characteristic
117	C₂×M₁₆	—	2	4	no	—
118	C₂×M₁₆	—	43	4	no	—
119	C₂×M₁₆	—	86	4	no	—
120	C₂×M₁₆	C₂×D₄₃	1	4	yes	complemented
121	C₂²×C₈	—	43	2	no	—
122	C₂²×C₈	C₂×D₄₃	1	2	yes	complemented
123	C₂²⋊C₈	—	43	16	no	—
124	C₂⁴	—	43	2	no	—
125	C₂⁴	—	43	4	no	—
126	C₂⁴	—	86	8	no	—
127	C₂⁴	—	86	4	no	—
128	C₂⁴	C₄×D₄₃	1	1	yes	characteristic
129	C₂²×C₄	—	43	4	no	—
130	C₂²×C₄	—	43	2	no	—
131	C₂²×C₄	—	43	8	no	—
132	C₂²×C₄	—	43	4	no	—
133	C₂²×C₄	—	43	4	no	—
134	C₂²×C₄	—	86	4	no	—
135	C₂²×C₄	—	86	16	no	—
136	C₂²×C₄	—	86	8	no	—
137	C₂²×C₄	—	86	4	no	—
138	C₂²×C₄	—	86	8	no	—
139	C₂²×C₄	—	86	4	no	—
140	C₂²×C₄	—	86	8	no	—
141	C₂²×C₄	C₄×D₄₃	1	1	yes	characteristic
142	C₂²×C₄	C₄×D₄₃	1	2	yes	—
143	C₂²×C₄	D₁₇₂	1	4	yes	—
144	C₂²×C₄	C₂²⋊D₄₃	1	4	yes	—
145	C₂²×C₄	C₂²×D₄₃	1	2	yes	—
146	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
147	M₁₆	—	2	8	no	—
148	M₁₆	—	86	8	no	—
149	C₂×C₈	—	2	4	no	—
150	C₂×C₈	—	43	4	no	—
151	C₂×C₈	—	86	4	no	—
152	C₂×C₈	C₂²×D₄₃	1	4	yes	complemented
153	C₂³	—	2	4	no	—
154	C₂³	—	43	8	no	—
155	C₂³	—	43	4	no	—
156	C₂³	—	86	16	no	—
157	C₂³	—	86	32	no	—
158	C₂³	—	86	8	no	—
159	C₂³	—	86	4	no	—
160	C₂³	—	86	4	no	—
161	C₂³	(C₂×D₄₃)⋊C₄	1	4	yes	—
162	C₂³	C₂×C₄×D₄₃	1	2	yes	—
163	C₂³	C₂×C₄×D₄₃	1	1	yes	characteristic
164	C₂×C₄	—	43	4	no	—
165	C₂×C₄	—	86	8	no	—
166	C₂×C₄	—	86	4	no	—
167	C₂×C₄	—	86	16	no	—
168	C₂×C₄	—	86	8	no	—
169	C₂×C₄	—	86	4	no	—
170	C₂×C₄	—	86	4	no	—
171	C₂×C₄	(C₂×D₄₃)⋊C₄	1	8	yes	—
172	C₂×C₄	(C₂×D₄₃)⋊C₄	1	4	yes	—
173	C₂×C₄	C₂×C₄×D₄₃	1	2	yes	—
174	C₂×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
175	C₂×C₄	C₂×D₁₇₂	1	2	yes	—
176	C₂×C₄	C₂×D₁₇₂	1	4	yes	—
177	C₂×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
178	C₂×C₄	C₂×C₂²⋊D₄₃	1	4	yes	—
179	C₂×C₄	C₂³×D₄₃	1	1	yes	characteristic
180	C₈	—	2	4	no	—
181	C₈	—	86	4	no	—
182	C₂²	—	2	8	no	—
183	C₂²	—	2	4	no	—
184	C₂²	—	43	8	no	—
185	C₂²	—	86	32	no	—
186	C₂²	—	86	4	no	—
187	C₂²	—	86	16	no	—
188	C₂²	—	86	4	no	—
189	C₂²	C₂×(C₂×D₄₃)⋊C₄	1	4	yes	—
190	C₂²	C₂×(C₂×D₄₃)⋊C₄	1	2	yes	—
191	C₂²	M₁₆×D₄₃	1	4	yes	—
192	C₂²	C₂²×C₄×D₄₃	1	1	yes	characteristic
193	C₄	—	86	4	no	—
194	C₄	C₂×(C₂×D₄₃)⋊C₄	1	4	yes	—
195	C₄	C₂×(C₂×D₄₃)⋊C₄	1	2	yes	—
196	C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
197	C₄	C₂²×D₁₇₂	1	1	yes	characteristic
198	C₂	—	2	4	no	—
199	C₂	—	86	8	no	—
200	C₂	#14582862	1	4	yes	direct product factor
201	C₂	C₂²×(C₂×D₄₃)⋊C₄	1	1	yes	characteristic
202	C₂	C₂×M₁₆×D₄₃	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂³×C₄×D₄₃

C₂

yes

maximal, characteristic

C₂²×#10621877

C₂

yes

maximal, characteristic, complemented

#14582862

C₂

yes

maximal, direct product factor

C₂×(C₂×D₄₃)⋊C₈

C₂

yes

maximal, complemented

C₂²×M₁₆×C₄₃

C₂

yes

maximal, characteristic, complemented

C₂⁴×D₄₃

C₄

yes

characteristic

C₂³×Dic₄₃

C₄

yes

characteristic

C₂²×C₄×D₄₃

—

C₂²×C₄×D₄₃

—

C₂²×C₄×D₄₃

C₄

yes

—

C₂²×C₄×D₄₃

C₄

yes

—

C₂²×C₄×D₄₃

C₂²

yes

—

C₂²×C₄×D₄₃

C₂²

yes

—

C₂×#10621877

—

C₂×#10621877

C₂²

yes

complemented

C₂²×C₄₃⋊C₈

C₂²

yes

complemented

(C₂×D₄₃)⋊C₈

C₂²

yes

complemented

C₂³×C₄×C₄₃

C₂²

yes

characteristic

C₂×M₁₆×C₄₃

—

C₂×M₁₆×C₄₃

C₂²

yes

complemented

C₂²×C₈×C₄₃

C₂²

yes

complemented

C₂⁴×C₄₃

C₂×C₄

yes

characteristic

C₂³×D₄₃

—

C₂³×D₄₃

—

C₂³×D₄₃

C₂×C₄

yes

—

C₂³×D₄₃

C₂×C₄

yes

—

C₂²×C₄×C₄₃

C₂×C₄

yes

—

C₂²×C₄×C₄₃

C₂×C₄

yes

characteristic

C₂²×C₄×C₄₃

D₄

yes

—

C₂²×C₄×C₄₃

D₄

yes

—

C₂²×C₄×C₄₃

C₂³

yes

—

C₂²×C₄×C₄₃

C₂³

yes

characteristic

C₂²×Dic₄₃

—

C₂²×Dic₄₃

C₂×C₄

yes

—

C₂²×Dic₄₃

C₂×C₄

yes

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

—

C₂×C₄×D₄₃

C₂×C₄

yes

—

C₂×C₄×D₄₃

C₂×C₄

yes

—

C₂×C₄×D₄₃

C₂³

yes

—

M₁₆×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

C₂³

yes

complemented

#10621877

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

C₂³

yes

complemented

C₂³×C₄₃

—

C₂³×C₄₃

C₂²⋊C₄

yes

—

C₂³×C₄₃

C₂²×C₄

yes

—

C₂³×C₄₃

C₂²×C₄

yes

characteristic

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

M₁₆

yes

complemented

C₂²×D₄₃

C₂²×C₄

yes

—

C₂×C₄×C₄₃

C₂²⋊C₄

yes

—

C₂×C₄×C₄₃

C₂²⋊C₄

yes

—

C₂×C₄×C₄₃

C₂²×C₄

yes

—

C₂×C₄×C₄₃

C₂²×C₄

yes

characteristic

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

C₂⁴

yes

characteristic

C₂×Dic₄₃

—

C₂×Dic₄₃

—

C₂×Dic₄₃

C₂²×C₄

yes

—

C₄×D₄₃

—

C₄×D₄₃

—

C₄×D₄₃

—

C₄×D₄₃

—

C₈×C₄₃

—

C₄₃⋊C₈

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

C₂×C₂²⋊C₄

yes

—

C₂²×C₄₃

C₂×C₂²⋊C₄

yes

—

C₂²×C₄₃

C₂×M₁₆

yes

—

C₂²×C₄₃

C₂³×C₄

yes

characteristic

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

—

C₂×D₄₃

C₂×M₁₆

yes

complemented

C₄×C₄₃

C₂×C₂²⋊C₄

yes

—

C₄×C₄₃

C₂×C₂²⋊C₄

yes

—

C₄×C₄₃

C₂²×D₄

yes

characteristic

C₄×C₄₃

C₂²×D₄

yes

characteristic

Dic₄₃

—

C₂×#407

—

maximal, Sylow

C₂×C₄₃

—

C₂×C₄₃

#407

yes

complemented

C₂×C₄₃

C₂²×C₂²⋊C₄

yes

characteristic

100

C₂×C₄₃

C₂²×M₁₆

yes

—

101

D₄₃

—

102

C₂⁴×C₄

—

103

C₂²×M₁₆

—

104

C₂²×M₁₆

D₄₃

yes

characteristic, complemented

105

#407

—

106

C₂×C₂²⋊C₈

—

107

C₄₃

C₂×#407

yes

characteristic, complemented, Sylow

108

C₂⁵

—

109

C₂³×C₄

—

110

C₂³×C₄

—

111

C₂³×C₄

—

112

C₂³×C₄

—

113

C₂³×C₄

—

114

C₂³×C₄

—

115

C₂³×C₄

—

116

C₂³×C₄

C₂×D₄₃

yes

characteristic

117

C₂×M₁₆

—

118

C₂×M₁₆

—

119

C₂×M₁₆

—

120

C₂×M₁₆

C₂×D₄₃

yes

complemented

121

C₂²×C₈

—

122

C₂²×C₈

C₂×D₄₃

yes

complemented

123

C₂²⋊C₈

—

124

C₂⁴

—

125

C₂⁴

—

126

C₂⁴

—

127

C₂⁴

—

128

C₂⁴

C₄×D₄₃

yes

characteristic

129

C₂²×C₄

—

130

C₂²×C₄

—

131

C₂²×C₄

—

132

C₂²×C₄

—

133

C₂²×C₄

—

134

C₂²×C₄

—

135

C₂²×C₄

—

136

C₂²×C₄

—

137

C₂²×C₄

—

138

C₂²×C₄

—

139

C₂²×C₄

—

140

C₂²×C₄

—

141

C₂²×C₄

C₄×D₄₃

yes

characteristic

142

C₂²×C₄

C₄×D₄₃

yes

—

143

C₂²×C₄

D₁₇₂

yes

—

144

C₂²×C₄

C₂²⋊D₄₃

yes

—

145

C₂²×C₄

C₂²×D₄₃

yes

—

146

C₂²×C₄

C₂²×D₄₃

yes

characteristic

147

M₁₆

—

148

M₁₆

—

149

C₂×C₈

—

150

C₂×C₈

—

151

C₂×C₈

—

152

C₂×C₈

C₂²×D₄₃

yes

complemented

153

C₂³

—

154

C₂³

—

155

C₂³

—

156

C₂³

—

157

C₂³

—

158

C₂³

—

159

C₂³

—

160

C₂³

—

161

C₂³

(C₂×D₄₃)⋊C₄

yes

—

162

C₂³

C₂×C₄×D₄₃

yes

—

163

C₂³

C₂×C₄×D₄₃

yes

characteristic

164

C₂×C₄

—

165

C₂×C₄

—

166

C₂×C₄

—

167

C₂×C₄

—

168

C₂×C₄

—

169

C₂×C₄

—

170

C₂×C₄

—

171

C₂×C₄

(C₂×D₄₃)⋊C₄

yes

—

172

C₂×C₄

(C₂×D₄₃)⋊C₄

yes

—

173

C₂×C₄

C₂×C₄×D₄₃

yes

—

174

C₂×C₄

C₂×C₄×D₄₃

yes

characteristic

175

C₂×C₄

C₂×D₁₇₂

yes

—

176

C₂×C₄

C₂×D₁₇₂

yes

—

177

C₂×C₄

C₂×C₂²⋊D₄₃

yes

—

178

C₂×C₄

C₂×C₂²⋊D₄₃

yes

—

179

C₂×C₄

C₂³×D₄₃

yes

characteristic

180

C₈

—

181

C₈

—

182

C₂²

—

183

C₂²

—

184

C₂²

—

185

C₂²

—

186

C₂²

—

187

C₂²

—

188

C₂²

—

189

C₂²

C₂×(C₂×D₄₃)⋊C₄

yes

—

190

C₂²

C₂×(C₂×D₄₃)⋊C₄

yes

—

191

C₂²

M₁₆×D₄₃

yes

—

192

C₂²

C₂²×C₄×D₄₃

yes

characteristic

193

C₄

—

194

C₄

C₂×(C₂×D₄₃)⋊C₄

yes

—

195

C₄

C₂×(C₂×D₄₃)⋊C₄

yes

—

196

C₄

C₂²×C₂²⋊D₄₃

yes

characteristic

197

C₄

C₂²×D₁₇₂

yes

characteristic

198

C₂

—

199

C₂

—

200

C₂

#14582862

yes

direct product factor

201

C₂

C₂²×(C₂×D₄₃)⋊C₄

yes

characteristic

202

C₂

C₂×M₁₆×D₄₃

yes

—

	subgroup	G/H
center	C₂²×C₄	C₂²×D₄₃
commutator	C₂²×C₄₃	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₄₃
Fitting	C₂²×M₁₆×C₄₃	C₂
socle	C₂³×C₄₃	C₂²×C₄
hypercenter	C₂²×M₁₆	D₄₃
hypocenter	C₄₃	C₂×#407
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂²×M₁₆

subgroup

G/H

center

C₂²×C₄

C₂²×D₄₃

commutator

C₂²×C₄₃

C₂³×C₄

Frattini

C₂×C₄

C₂³×D₄₃

Fitting

C₂²×M₁₆×C₄₃

C₂

socle

C₂³×C₄₃

C₂²×C₄

hypercenter

C₂²×M₁₆

D₄₃

C₄₃

G ▷ C₂²×C₄₃ ▷ C₄₃

C₁ ◁ C₂²×C₄ ◁ C₂²×M₁₆

N	H ≅ G/N	type
2. C₂²×#10621877	C₂	semidirect
3. #14582862	C₂	direct (N × H)
4. C₂×(C₂×D₄₃)⋊C₈	C₂	semidirect
5. C₂²×M₁₆×C₄₃	C₂	semidirect
15. C₂×#10621877	C₂²	semidirect
16. C₂²×C₄₃⋊C₈	C₂²	semidirect
17. (C₂×D₄₃)⋊C₈	C₂²	semidirect
20. C₂×M₁₆×C₄₃	C₂²	semidirect
21. C₂²×C₈×C₄₃	C₂²	semidirect
47. C₂×C₈×C₄₃	C₂³	semidirect
50. C₂×C₄₃⋊C₈	C₂³	semidirect
60. C₂²×D₄₃	M₁₆	semidirect
90. C₂×D₄₃	C₂×M₁₆	semidirect
98. C₂×C₄₃	#407	semidirect
104. C₂²×M₁₆	D₄₃	semidirect
107. C₄₃	C₂×#407	semidirect
120. C₂×M₁₆	C₂×D₄₃	semidirect
122. C₂²×C₈	C₂×D₄₃	semidirect
152. C₂×C₈	C₂²×D₄₃	semidirect
200. C₂	#14582862	direct (N × H)

H ≅ G/N

type

2. C₂²×#10621877

C₂

semidirect

3. #14582862

C₂

direct (N × H)

4. C₂×(C₂×D₄₃)⋊C₈

C₂

semidirect

5. C₂²×M₁₆×C₄₃

C₂

semidirect

15. C₂×#10621877

C₂²

semidirect

16. C₂²×C₄₃⋊C₈

C₂²

semidirect

17. (C₂×D₄₃)⋊C₈

C₂²

semidirect

20. C₂×M₁₆×C₄₃

C₂²

semidirect

21. C₂²×C₈×C₄₃

C₂²

semidirect

47. C₂×C₈×C₄₃

C₂³

semidirect

50. C₂×C₄₃⋊C₈

C₂³

semidirect

60. C₂²×D₄₃

M₁₆

semidirect

90. C₂×D₄₃

C₂×M₁₆

semidirect

98. C₂×C₄₃

#407

semidirect

104. C₂²×M₁₆

D₄₃

semidirect

107. C₄₃

C₂×#407

semidirect

120. C₂×M₁₆

C₂×D₄₃

semidirect

122. C₂²×C₈

C₂×D₄₃

semidirect

152. C₂×C₈

C₂²×D₄₃

semidirect

200. C₂

#14582862

direct (N × H)

Subgroups — C₂×#14582862 #19143030

Conjugacy classes of subgroups

Complements

Subgroups — C2×#14582862 #19143030

Conjugacy classes of subgroups

Complements

Subgroups — C₂×#14582862 #19143030