Group #19135470 — subgroups

Subgroups — #19135470

Order 5504.

376 conjugacy classes of subgroups; only the 99 normal subgroups are shown.

normal subgroups only

This group has 376 conjugacy classes of subgroups — too many to draw. Only its 99 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	C₂²×#10621882	C₂	1	1	yes	maximal, characteristic
2	C₂×#13063256	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#13063246	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#13063245	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#13063236	C₂	1	1	yes	maximal, characteristic, complemented
6	#14582801	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#390	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×D₁₇₂	C₂²	1	1	yes	characteristic
9	C₂×#10621882	—	2	2	no	—
10	C₂×#10621882	—	2	2	no	—
11	C₂×#10621882	C₄	1	4	yes	complemented
12	C₂²×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
13	C₂²×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
15	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
16	#13063256	—	2	2	no	—
17	#13063246	—	2	2	no	—
18	#13063245	—	2	2	no	—
19	#13063236	—	2	2	no	—
20	C₂²×D₄×C₄₃	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
22	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
23	C₂×C₄²×C₄₃	C₂²	1	1	yes	characteristic
24	C₂⁴×C₄₃	—	2	1	no	—
25	C₂³×D₄₃	—	2	1	no	—
26	C₂×D₄×C₄₃	—	2	1	no	—
27	C₂×D₄×C₄₃	—	2	1	no	—
28	C₂×D₄×C₄₃	—	2	1	no	—
29	C₂×D₄×C₄₃	—	2	1	no	—
30	C₂×D₄×C₄₃	—	2	1	no	—
31	C₂×D₄×C₄₃	C₂×C₄	1	2	yes	—
32	C₂²×C₄×C₄₃	—	2	1	no	—
33	C₂²×C₄×C₄₃	D₄	1	2	yes	—
34	C₂²×C₄×C₄₃	C₂³	1	1	yes	characteristic
35	C₂²×Dic₄₃	—	2	1	no	—
36	C₂×D₁₇₂	—	2	1	no	—
37	C₂×D₁₇₂	—	2	1	no	—
38	C₂×D₁₇₂	—	2	1	no	—
39	C₂×D₁₇₂	—	2	1	no	—
40	C₂×D₁₇₂	—	2	1	no	—
41	C₂×D₁₇₂	C₂×C₄	1	2	yes	—
42	C₄⋊C₄×C₄₃	—	2	1	no	—
43	C₄⋊C₄×C₄₃	—	2	1	no	—
44	C₂²⋊C₄×C₄₃	—	4	4	no	—
45	C₄²×C₄₃	—	2	1	no	—
46	C₄²×C₄₃	—	2	1	no	—
47	#10621882	—	2	8	no	—
48	(C₂×D₄₃)⋊C₄	—	4	4	no	—
49	C₄⋊Dic₄₃	—	2	1	no	—
50	C₄⋊Dic₄₃	—	2	1	no	—
51	C₂×C₄₃⋊C₈	—	2	1	no	—
52	C₂×C₄₃⋊C₈	—	2	1	no	—
53	C₂×C₄₃⋊C₈	C₂×C₄	1	2	yes	—
54	C₂×C₄₃⋊C₈	D₄	1	2	yes	—
55	C₂×C₄₃⋊C₈	D₄	1	2	yes	—
56	C₂×C₄₃⋊C₈	D₄	1	2	yes	—
57	C₂³×C₄₃	—	2	2	no	—
58	C₂³×C₄₃	—	4	1	no	—
59	C₂³×C₄₃	—	4	1	no	—
60	C₂³×C₄₃	—	4	2	no	—
61	C₂³×C₄₃	—	4	2	no	—
62	C₂³×C₄₃	C₂×D₄	1	1	yes	characteristic
63	C₂²×D₄₃	—	2	2	no	—
64	C₂²×D₄₃	—	4	1	no	—
65	C₂²×D₄₃	—	4	1	no	—
66	C₂²×D₄₃	—	4	2	no	—
67	C₂²×D₄₃	—	4	2	no	—
68	D₄×C₄₃	—	2	2	no	—
69	D₄×C₄₃	—	2	2	no	—
70	D₄×C₄₃	—	4	1	no	—
71	D₄×C₄₃	—	4	1	no	—
72	C₂×C₄×C₄₃	—	2	2	no	—
73	C₂×C₄×C₄₃	—	2	2	no	—
74	C₂×C₄×C₄₃	—	2	2	no	—
75	C₂×C₄×C₄₃	—	4	1	no	—
76	C₂×C₄×C₄₃	—	4	2	no	—
77	C₂×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
78	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
79	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
80	C₂×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
81	C₂×C₄×C₄₃	#41	1	1	yes	characteristic
82	C₂×C₄×C₄₃	#41	1	1	yes	characteristic
83	C₂×Dic₄₃	—	4	1	no	—
84	C₂×Dic₄₃	—	4	2	no	—
85	D₁₇₂	—	2	2	no	—
86	D₁₇₂	—	2	2	no	—
87	D₁₇₂	—	4	1	no	—
88	D₁₇₂	—	4	1	no	—
89	C₄₃⋊C₈	—	2	2	no	—
90	C₄₃⋊C₈	C₂²⋊C₄	1	4	yes	complemented
91	C₂²×C₄₃	—	4	2	no	—
92	C₂²×C₄₃	—	4	4	no	—
93	C₂²×C₄₃	—	8	2	no	—
94	C₂²×C₄₃	—	8	1	no	—
95	C₂²×C₄₃	—	8	1	no	—
96	C₂²×C₄₃	C₄×D₄	1	1	yes	characteristic
97	C₂²×C₄₃	#121	1	1	yes	characteristic
98	C₂²×C₄₃	#127	1	1	yes	characteristic
99	C₂²×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
100	C₂²×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
101	C₂×D₄₃	—	4	2	no	—
102	C₂×D₄₃	—	4	4	no	—
103	C₂×D₄₃	—	8	2	no	—
104	C₂×D₄₃	—	8	1	no	—
105	C₂×D₄₃	—	8	1	no	—
106	C₄×C₄₃	—	4	2	no	—
107	C₄×C₄₃	—	8	1	no	—
108	C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
109	C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
110	C₄×C₄₃	#121	1	1	yes	characteristic
111	C₄×C₄₃	#124	1	1	yes	characteristic
112	Dic₄₃	—	8	1	no	—
113	#1972	—	43	1	no	maximal, Sylow
114	C₂×C₄₃	—	8	2	no	—
115	C₂×C₄₃	#390	1	1	yes	characteristic
116	C₂×C₄₃	#442	1	2	yes	—
117	C₂×C₄₃	#469	1	2	yes	—
118	C₂×C₄₃	#496	1	1	yes	characteristic
119	C₂×C₄₃	#496	1	1	yes	characteristic
120	D₄₃	—	8	2	no	—
121	C₂²×D₈	—	43	1	no	—
122	C₂×#106	—	43	1	no	—
123	C₂×#102	—	43	1	no	—
124	C₂×#102	—	43	1	no	—
125	C₂×#97	—	43	1	no	—
126	#390	—	43	1	no	—
127	#390	D₄₃	1	1	yes	characteristic, complemented
128	C₄₃	#1972	1	1	yes	characteristic, complemented, Sylow
129	C₂²×D₄	—	43	1	no	—
130	C₂²×D₄	C₂×D₄₃	1	1	yes	characteristic
131	C₂×D₈	—	43	4	no	—
132	C₂×D₈	—	86	2	no	—
133	C₂×D₈	—	86	2	no	—
134	C₂²×C₈	—	43	1	no	—
135	C₂²×C₈	—	43	1	no	—
136	C₂×C₄⋊C₄	—	43	1	no	—
137	C₂×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic
138	C₂×C₂²⋊C₄	—	2	2	no	—
139	C₂×C₂²⋊C₄	—	86	2	no	—
140	C₂×C₄²	C₂×D₄₃	1	1	yes	characteristic
141	#106	—	86	2	no	—
142	#102	—	86	2	no	—
143	#102	—	86	2	no	—
144	#97	—	86	2	no	—
145	C₂⁴	—	2	1	no	—
146	C₂⁴	—	86	1	no	—
147	C₂×D₄	—	2	1	no	—
148	C₂×D₄	—	2	1	no	—
149	C₂×D₄	—	2	1	no	—
150	C₂×D₄	—	2	1	no	—
151	C₂×D₄	—	2	1	no	—
152	C₂×D₄	—	43	2	no	—
153	C₂×D₄	—	86	1	no	—
154	C₂×D₄	—	86	1	no	—
155	C₂×D₄	—	86	1	no	—
156	C₂×D₄	—	86	1	no	—
157	C₂×D₄	—	86	1	no	—
158	C₂×D₄	C₄×D₄₃	1	2	yes	—
159	C₂²×C₄	—	2	1	no	—
160	C₂²×C₄	—	86	1	no	—
161	C₂²×C₄	C₂²⋊D₄₃	1	2	yes	—
162	C₂²×C₄	C₂²×D₄₃	1	1	yes	characteristic
163	D₈	—	86	8	no	—
164	C₂×C₈	—	43	2	no	—
165	C₂×C₈	—	43	2	no	—
166	C₂×C₈	—	43	2	no	—
167	C₂×C₈	—	43	2	no	—
168	C₂×C₈	—	86	1	no	—
169	C₂×C₈	—	86	1	no	—
170	C₄⋊C₄	—	2	1	no	—
171	C₄⋊C₄	—	2	1	no	—
172	C₄⋊C₄	—	86	1	no	—
173	C₄⋊C₄	—	86	1	no	—
174	C₂²⋊C₄	—	4	4	no	—
175	C₂²⋊C₄	—	172	4	no	—
176	C₄²	—	2	1	no	—
177	C₄²	—	2	1	no	—
178	C₂³	—	2	2	no	—
179	C₂³	—	4	1	no	—
180	C₂³	—	4	1	no	—
181	C₂³	—	4	2	no	—
182	C₂³	—	4	2	no	—
183	C₂³	—	86	2	no	—
184	C₂³	—	172	1	no	—
185	C₂³	—	172	1	no	—
186	C₂³	—	172	2	no	—
187	C₂³	—	172	2	no	—
188	C₂³	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
189	D₄	—	2	2	no	—
190	D₄	—	2	2	no	—
191	D₄	—	4	1	no	—
192	D₄	—	4	1	no	—
193	D₄	—	86	2	no	—
194	D₄	—	86	2	no	—
195	D₄	—	172	1	no	—
196	D₄	—	172	1	no	—
197	C₂×C₄	—	2	2	no	—
198	C₂×C₄	—	2	2	no	—
199	C₂×C₄	—	2	2	no	—
200	C₂×C₄	—	4	1	no	—
201	C₂×C₄	—	4	2	no	—
202	C₂×C₄	—	172	1	no	—
203	C₂×C₄	—	172	2	no	—
204	C₂×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
205	C₂×C₄	#10621898	1	1	yes	characteristic
206	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
207	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
208	C₂×C₄	D₄×D₄₃	1	1	yes	characteristic
209	C₂×C₄	#10621900	1	1	yes	characteristic
210	C₈	—	43	4	no	—
211	C₈	—	86	2	no	—
212	C₂²	—	4	2	no	—
213	C₂²	—	4	4	no	—
214	C₂²	—	8	2	no	—
215	C₂²	—	8	1	no	—
216	C₂²	—	8	1	no	—
217	C₂²	—	344	2	no	—
218	C₂²	—	344	1	no	—
219	C₂²	—	344	1	no	—
220	C₂²	—	172	2	no	—
221	C₂²	—	172	4	no	—
222	C₂²	C₄×C₂²⋊D₄₃	1	1	yes	characteristic
223	C₂²	#13063297	1	1	yes	characteristic
224	C₂²	#13063321	1	1	yes	characteristic
225	C₂²	#13063350	1	2	yes	—
226	C₂²	#13063351	1	2	yes	—
227	C₄	—	4	2	no	—
228	C₄	—	8	1	no	—
229	C₄	—	344	1	no	—
230	C₄	C₂²⋊C₄×D₄₃	1	1	yes	characteristic
231	C₄	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
232	C₄	#13063298	1	1	yes	characteristic
233	C₄	#13063311	1	1	yes	characteristic
234	C₂	—	8	2	no	—
235	C₂	—	344	2	no	—
236	C₂	#14582799	1	1	yes	characteristic
237	C₂	#14583009	1	2	yes	—
238	C₂	#14583150	1	2	yes	—
239	C₂	#14583286	1	1	yes	characteristic
240	C₂	#14583289	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

C₂²×#10621882

C₂

yes

maximal, characteristic

C₂×#13063256

C₂

yes

maximal, characteristic, complemented

C₂×#13063246

C₂

yes

maximal, characteristic, complemented

C₂×#13063245

C₂

yes

maximal, characteristic, complemented

C₂×#13063236

C₂

yes

maximal, characteristic, complemented

#14582801

C₂

yes

maximal, characteristic, complemented

C₄₃×#390

C₂

yes

maximal, characteristic, complemented

C₂²×D₁₇₂

C₂²

yes

—

—

C₄

yes

complemented

C₂²×C₄₃⋊C₈

C₂²

yes

characteristic

C₂²×C₄₃⋊C₈

C₂²

yes

characteristic

C₂×C₄⋊Dic₄₃

C₂²

yes

characteristic

C₂×(C₂×D₄₃)⋊C₄

—

—

—

—

—

C₂²×D₄×C₄₃

C₂²

yes

characteristic

C₂×C₄⋊C₄×C₄₃

C₂²

yes

characteristic

C₂×C₂²⋊C₄×C₄₃

—

C₂×C₄²×C₄₃

C₂²

yes

characteristic

C₂⁴×C₄₃

—

C₂³×D₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

C₂×C₄

yes

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

D₄

yes

—

C₂²×C₄×C₄₃

C₂³

yes

characteristic

C₂²×Dic₄₃

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

—

C₂×D₁₇₂

C₂×C₄

yes

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₂²⋊C₄×C₄₃

—

C₄²×C₄₃

—

C₄²×C₄₃

—

#10621882

—

(C₂×D₄₃)⋊C₄

—

C₄⋊Dic₄₃

—

C₄⋊Dic₄₃

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

C₂×C₄

yes

—

C₂×C₄₃⋊C₈

D₄

yes

—

C₂×C₄₃⋊C₈

D₄

yes

—

C₂×C₄₃⋊C₈

D₄

yes

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

C₂×D₄

yes

characteristic

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

C₂²×D₄₃

—

D₄×C₄₃

—

D₄×C₄₃

—

D₄×C₄₃

—

D₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂²×C₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂×C₄×C₄₃

C₂×D₄

yes

C₂×C₄×C₄₃

yes

C₂×C₄×C₄₃

yes

C₂×Dic₄₃

—

C₂×Dic₄₃

—

D₁₇₂

—

D₁₇₂

—

D₁₇₂

—

D₁₇₂

—

C₄₃⋊C₈

—

C₄₃⋊C₈

C₂²⋊C₄

yes

complemented

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

C₄×D₄

yes

C₂²×C₄₃

yes

C₂²×C₄₃

yes

C₂²×C₄₃

yes

—

100

C₂²×C₄₃

AGL(1,ℤ/8)

yes

—

101

C₂×D₄₃

—

102

C₂×D₄₃

—

103

C₂×D₄₃

—

104

C₂×D₄₃

—

105

C₂×D₄₃

—

106

C₄×C₄₃

—

107

C₄×C₄₃

—

108

C₄×C₄₃

C₂×C₂²⋊C₄

yes

characteristic

109

C₄×C₄₃

C₄×D₄

yes

characteristic

110

C₄×C₄₃

#121

yes

characteristic

111

C₄×C₄₃

#124

yes

characteristic

112

Dic₄₃

—

113

#1972

—

maximal, Sylow

114

C₂×C₄₃

—

115

C₂×C₄₃

#390

yes

characteristic

116

C₂×C₄₃

#442

yes

—

117

C₂×C₄₃

#469

yes

—

118

C₂×C₄₃

#496

yes

characteristic

119

C₂×C₄₃

#496

yes

characteristic

120

D₄₃

—

121

C₂²×D₈

—

122

C₂×#106

—

123

C₂×#102

—

124

C₂×#102

—

125

C₂×#97

—

126

#390

—

127

#390

D₄₃

yes

characteristic, complemented

128

C₄₃

#1972

yes

characteristic, complemented, Sylow

129

C₂²×D₄

—

130

C₂²×D₄

C₂×D₄₃

yes

characteristic

131

C₂×D₈

—

132

C₂×D₈

—

133

C₂×D₈

—

134

C₂²×C₈

—

135

C₂²×C₈

—

136

C₂×C₄⋊C₄

—

137

C₂×C₄⋊C₄

C₂×D₄₃

yes

characteristic

138

C₂×C₂²⋊C₄

—

139

C₂×C₂²⋊C₄

—

140

C₂×C₄²

C₂×D₄₃

yes

characteristic

141

#106

—

142

#102

—

143

#102

—

144

#97

—

145

C₂⁴

—

146

C₂⁴

—

147

C₂×D₄

—

148

C₂×D₄

—

149

C₂×D₄

—

150

C₂×D₄

—

151

C₂×D₄

—

152

C₂×D₄

—

153

C₂×D₄

—

154

C₂×D₄

—

155

C₂×D₄

—

156

C₂×D₄

—

157

C₂×D₄

—

158

C₂×D₄

C₄×D₄₃

yes

—

159

C₂²×C₄

—

160

C₂²×C₄

—

161

C₂²×C₄

C₂²⋊D₄₃

yes

—

162

C₂²×C₄

C₂²×D₄₃

yes

characteristic

163

D₈

—

164

C₂×C₈

—

165

C₂×C₈

—

166

C₂×C₈

—

167

C₂×C₈

—

168

C₂×C₈

—

169

C₂×C₈

—

170

C₄⋊C₄

—

171

C₄⋊C₄

—

172

C₄⋊C₄

—

173

C₄⋊C₄

—

174

C₂²⋊C₄

—

175

C₂²⋊C₄

—

172

—

176

C₄²

—

177

C₄²

—

178

C₂³

—

179

C₂³

—

180

C₂³

—

181

C₂³

—

182

C₂³

—

183

C₂³

—

184

C₂³

—

172

—

185

C₂³

—

172

—

186

C₂³

—

172

—

187

C₂³

—

172

—

188

C₂³

C₂×C₂²⋊D₄₃

yes

characteristic

189

D₄

—

190

D₄

—

191

D₄

—

192

D₄

—

193

D₄

—

194

D₄

—

195

D₄

—

172

—

196

D₄

—

172

—

197

C₂×C₄

—

198

C₂×C₄

—

199

C₂×C₄

—

200

C₂×C₄

—

201

C₂×C₄

—

202

C₂×C₄

—

172

—

203

C₂×C₄

—

172

—

204

C₂×C₄

C₂×C₄×D₄₃

yes

characteristic

205

C₂×C₄

#10621898

yes

characteristic

206

C₂×C₄

D₄×D₄₃

yes

characteristic

207

C₂×C₄

D₄×D₄₃

yes

characteristic

208

C₂×C₄

D₄×D₄₃

yes

characteristic

209

C₂×C₄

#10621900

yes

characteristic

210

C₈

—

211

C₈

—

212

C₂²

—

213

C₂²

—

214

C₂²

—

215

C₂²

—

216

C₂²

—

217

C₂²

—

344

—

218

C₂²

—

344

—

219

C₂²

—

344

—

220

C₂²

—

172

—

221

C₂²

—

172

—

222

C₂²

C₄×C₂²⋊D₄₃

yes

characteristic

223

C₂²

#13063297

yes

characteristic

224

C₂²

#13063321

yes

characteristic

225

C₂²

#13063350

yes

—

226

C₂²

#13063351

yes

—

227

C₄

—

228

C₄

—

229

C₄

—

344

—

230

C₄

C₂²⋊C₄×D₄₃

yes

characteristic

231

C₄

(C₂²⋊D₄₃)⋊C₄

yes

characteristic

232

C₄

#13063298

yes

characteristic

233

C₄

#13063311

yes

characteristic

234

C₂

—

235

C₂

—

344

—

236

C₂

#14582799

yes

characteristic

237

C₂

#14583009

yes

—

238

C₂

#14583150

yes

—

239

C₂

#14583286

yes

characteristic

240

C₂

#14583289

yes

characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊D₄₃
commutator	C₂×C₄×C₄₃	C₂²×C₄
Frattini	C₂²×C₄	C₂²×D₄₃
Fitting	C₄₃×#390	C₂
socle	C₂³×C₄₃	C₂×D₄
hypercenter	#390	D₄₃
hypocenter	C₄₃	#1972
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #390

subgroup

G/H

center

C₂³

C₂×C₂²⋊D₄₃

commutator

C₂×C₄×C₄₃

C₂²×C₄

Frattini

C₂²×C₄

C₂²×D₄₃

Fitting

C₄₃×#390

C₂

socle

C₂³×C₄₃

C₂×D₄

D₄₃

C₄₃

G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ #390

N	H ≅ G/N	type
2. C₂×#13063256	C₂	semidirect
3. C₂×#13063246	C₂	semidirect
4. C₂×#13063245	C₂	semidirect
5. C₂×#13063236	C₂	semidirect
6. #14582801	C₂	semidirect
7. C₄₃×#390	C₂	semidirect
11. C₂×#10621882	C₄	semidirect
90. C₄₃⋊C₈	C₂²⋊C₄	semidirect
127. #390	D₄₃	semidirect
128. C₄₃	#1972	semidirect

H ≅ G/N

type

2. C₂×#13063256

C₂

semidirect

3. C₂×#13063246

C₂

semidirect

4. C₂×#13063245

C₂

semidirect

5. C₂×#13063236

C₂

semidirect

6. #14582801

C₂

semidirect

7. C₄₃×#390

C₂

semidirect

11. C₂×#10621882

C₄

semidirect

90. C₄₃⋊C₈

C₂²⋊C₄

semidirect

127. #390

D₄₃

semidirect

128. C₄₃

#1972

semidirect

Subgroups — #19135470

Conjugacy classes of subgroups

Complements