Group #24991909 — subgroups

Subgroups — #24991909

Order 11008.

444 conjugacy classes of subgroups; only the 111 normal subgroups are shown.

normal subgroups only

This group has 444 conjugacy classes of subgroups — too many to draw. Only its 111 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	#19143662	C₂	1	1	yes	maximal, characteristic
2	#19133187	C₂	1	1	yes	maximal, characteristic
3	#19133016	C₂	1	2	yes	maximal, complemented
4	#19132432	C₂	1	2	yes	maximal, complemented
5	C₄₃×#3131	C₂	1	1	yes	maximal, characteristic
6	#14582977	—	2	2	no	—
7	D₄×C₄₃⋊C₈	—	2	2	no	—
8	#14582952	C₂²	1	2	yes	—
9	#14582866	—	2	2	no	—
10	C₄×#10621877	C₂²	1	2	yes	—
11	#14582639	—	2	2	no	—
12	Q₈⋊(C₄₃⋊C₈)	—	2	2	no	—
13	Q₈⋊(C₄₃⋊C₈)	—	2	2	no	—
14	C₄₃×#533	C₂²	1	1	yes	characteristic
15	C₄₃×#532	C₂²	1	1	yes	characteristic
16	C₄₃×#488	—	2	2	no	—
17	C₄₃×#487	C₄	1	2	yes	—
18	C₄₃×#486	C₄	1	2	yes	—
19	C₄₃×#416	—	2	2	no	—
20	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
21	C₂×#10621877	—	2	2	no	—
22	C₂×#10621877	—	2	2	no	—
23	C₂²×C₄₃⋊C₈	—	2	2	no	—
24	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
25	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
26	C₂²⋊(C₄₃⋊C₈)	—	2	4	no	—
27	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
28	#13063236	—	2	2	no	—
29	C₄×C₄₃⋊C₈	—	2	2	no	—
30	C₄×C₄₃⋊C₈	—	2	2	no	—
31	C₂×#41×C₄₃	D₄	1	2	yes	—
32	C₂²×C₈×C₄₃	—	2	1	no	—
33	C₄⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
34	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
35	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
36	#125×C₄₃	—	2	1	no	—
37	#124×C₄₃	D₄	1	2	yes	—
38	C₂²⋊Q₈×C₄₃	—	2	2	no	—
39	#121×C₄₃	—	2	2	no	—
40	C₄×Q₈×C₄₃	—	2	2	no	—
41	C₄×D₄×C₄₃	—	2	2	no	—
42	#117×C₄₃	—	2	1	no	—
43	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
44	#103×C₄₃	—	2	4	no	—
45	#102×C₄₃	—	2	4	no	—
46	C₄×C₈×C₄₃	—	2	1	no	—
47	C₄×C₈×C₄₃	C₂×C₄	1	2	yes	—
48	#41×C₄₃	—	4	2	no	—
49	#41×C₄₃	—	4	2	no	—
50	C₂×Q₈×C₄₃	—	2	2	no	—
51	C₂×Q₈×C₄₃	C₂²⋊C₄	1	2	yes	—
52	C₂×D₄×C₄₃	—	2	2	no	—
53	C₂×D₄×C₄₃	—	2	2	no	—
54	C₂×D₄×C₄₃	C₂²⋊C₄	1	2	yes	—
55	C₂²×C₄×C₄₃	—	2	2	no	—
56	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
57	C₂²×C₄×C₄₃	#41	1	2	yes	—
58	C₂×C₈×C₄₃	—	2	2	no	—
59	C₂×C₈×C₄₃	—	4	1	no	—
60	C₂×C₈×C₄₃	—	4	1	no	—
61	C₄⋊C₄×C₄₃	—	2	2	no	—
62	C₄⋊C₄×C₄₃	—	2	2	no	—
63	C₄⋊C₄×C₄₃	—	2	2	no	—
64	C₄⋊C₄×C₄₃	—	4	2	no	—
65	C₂²⋊C₄×C₄₃	—	2	4	no	—
66	C₂²⋊C₄×C₄₃	—	4	1	no	—
67	C₄²×C₄₃	—	4	1	no	—
68	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
69	C₄²×C₄₃	C₂×D₄	1	2	yes	—
70	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
71	#10621877	—	2	4	no	—
72	#10621877	—	4	2	no	—
73	#10621877	—	8	2	no	—
74	C₂×C₄₃⋊C₈	—	2	2	no	—
75	C₂×C₄₃⋊C₈	—	2	2	no	—
76	C₂×C₄₃⋊C₈	—	4	2	no	—
77	C₂×C₄₃⋊C₈	—	8	2	no	—
78	C₂³×C₄₃	—	2	2	no	—
79	C₂³×C₄₃	#123	1	1	yes	characteristic
80	Q₈×C₄₃	—	4	2	no	—
81	Q₈×C₄₃	—	4	2	no	—
82	Q₈×C₄₃	—	4	2	no	—
83	D₄×C₄₃	—	4	2	no	—
84	D₄×C₄₃	—	4	2	no	—
85	D₄×C₄₃	—	4	2	no	—
86	D₄×C₄₃	—	8	2	no	—
87	C₂×C₄×C₄₃	—	2	2	no	—
88	C₂×C₄×C₄₃	—	2	2	no	—
89	C₂×C₄×C₄₃	—	2	1	no	—
90	C₂×C₄×C₄₃	—	2	1	no	—
91	C₂×C₄×C₄₃	—	2	2	no	—
92	C₂×C₄×C₄₃	—	4	2	no	—
93	C₂×C₄×C₄₃	—	4	2	no	—
94	C₂×C₄×C₄₃	—	4	2	no	—
95	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
96	C₂×C₄×C₄₃	C₄×D₄	1	2	yes	—
97	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
98	C₂×C₄×C₄₃	#121	1	2	yes	—
99	C₈×C₄₃	—	4	2	no	—
100	C₄₃⋊C₈	—	4	4	no	—
101	C₄₃⋊C₈	—	4	2	no	—
102	C₄₃⋊C₈	—	4	2	no	—
103	#9067	—	43	1	no	maximal, Sylow
104	C₂²×C₄₃	—	2	2	no	—
105	C₂²×C₄₃	—	2	1	no	—
106	C₂²×C₄₃	—	4	4	no	—
107	C₂²×C₄₃	—	4	2	no	—
108	C₂²×C₄₃	#386	1	1	yes	characteristic
109	C₄×C₄₃	—	2	2	no	—
110	C₄×C₄₃	—	2	1	no	—
111	C₄×C₄₃	—	4	2	no	—
112	C₄×C₄₃	—	8	2	no	—
113	C₄×C₄₃	#443	1	2	yes	—
114	C₄×C₄₃	#444	1	2	yes	—
115	C₄×C₄₃	#455	1	1	yes	characteristic
116	C₄×C₄₃	#455	1	1	yes	characteristic
117	#3131	D₄₃	1	1	yes	characteristic
118	#2979	—	43	1	no	—
119	#1525	—	43	1	no	—
120	#1485	—	43	2	no	—
121	#1278	—	43	2	no	—
122	C₂×C₄₃	—	4	1	no	—
123	C₂×C₄₃	—	8	2	no	—
124	C₂×C₄₃	#1876	1	2	yes	—
125	C₂×C₄₃	#1885	1	1	yes	characteristic
126	#533	C₂×D₄₃	1	1	yes	characteristic
127	#532	C₂×D₄₃	1	1	yes	characteristic
128	#488	—	2	2	no	—
129	#487	Dic₄₃	1	2	yes	—
130	#486	Dic₄₃	1	2	yes	—
131	#436	—	86	2	no	—
132	C₈×D₄	—	86	2	no	—
133	#431	—	43	2	no	—
134	#416	—	2	2	no	—
135	#408	—	86	2	no	—
136	C₄×M₁₆	—	43	2	no	—
137	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
138	#329	—	86	2	no	—
139	Q₈⋊C₈	—	86	2	no	—
140	Q₈⋊C₈	—	86	2	no	—
141	C₄₃	#9067	1	1	yes	characteristic, complemented, Sylow
142	C₂×#41	C₂²⋊D₄₃	1	2	yes	—
143	C₂×M₁₆	—	86	2	no	—
144	C₂×M₁₆	—	86	2	no	—
145	C₂²×C₈	—	2	1	no	—
146	C₂²×C₈	—	86	2	no	—
147	C₄⋊Q₈	C₂×Dic₄₃	1	2	yes	—
148	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
149	#127	C₂×Dic₄₃	1	1	yes	characteristic
150	#125	—	2	1	no	—
151	#124	C₂²⋊D₄₃	1	2	yes	—
152	C₂²⋊Q₈	—	2	2	no	—
153	#121	—	2	2	no	—
154	C₄×Q₈	—	2	2	no	—
155	C₄×D₄	—	2	2	no	—
156	#117	—	2	1	no	—
157	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
158	C₄⋊C₈	—	43	2	no	—
159	C₄⋊C₈	—	43	2	no	—
160	#103	—	2	4	no	—
161	#102	—	2	4	no	—
162	C₂²⋊C₈	—	86	4	no	—
163	C₂²⋊C₈	—	86	2	no	—
164	#97	—	86	2	no	—
165	C₄×C₈	—	2	1	no	—
166	C₄×C₈	—	86	2	no	—
167	C₄×C₈	—	86	2	no	—
168	C₄×C₈	C₂×Dic₄₃	1	2	yes	—
169	#41	—	4	2	no	—
170	#41	—	4	2	no	—
171	C₂×Q₈	—	2	2	no	—
172	C₂×Q₈	C₂²⋊Dic₄₃	1	2	yes	—
173	C₂×D₄	—	2	2	no	—
174	C₂×D₄	—	2	2	no	—
175	C₂×D₄	C₂²⋊Dic₄₃	1	2	yes	—
176	C₂²×C₄	—	2	2	no	—
177	C₂²×C₄	#10621900	1	2	yes	—
178	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
179	M₁₆	—	86	4	no	—
180	M₁₆	—	344	2	no	—
181	M₁₆	—	172	2	no	—
182	C₂×C₈	—	2	2	no	—
183	C₂×C₈	—	4	1	no	—
184	C₂×C₈	—	4	1	no	—
185	C₂×C₈	—	86	2	no	—
186	C₂×C₈	—	86	2	no	—
187	C₂×C₈	—	344	2	no	—
188	C₂×C₈	—	172	2	no	—
189	C₄⋊C₄	—	2	2	no	—
190	C₄⋊C₄	—	2	2	no	—
191	C₄⋊C₄	—	2	2	no	—
192	C₄⋊C₄	—	4	2	no	—
193	C₂²⋊C₄	—	2	4	no	—
194	C₂²⋊C₄	—	4	1	no	—
195	C₄²	—	4	1	no	—
196	C₄²	D₄×D₄₃	1	2	yes	—
197	C₄²	C₂²×Dic₄₃	1	1	yes	characteristic
198	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
199	C₂³	—	2	2	no	—
200	C₂³	#13063306	1	1	yes	characteristic
201	Q₈	—	4	2	no	—
202	Q₈	—	4	2	no	—
203	Q₈	—	4	2	no	—
204	D₄	—	4	2	no	—
205	D₄	—	4	2	no	—
206	D₄	—	4	2	no	—
207	D₄	—	8	2	no	—
208	C₂×C₄	—	2	1	no	—
209	C₂×C₄	—	2	1	no	—
210	C₂×C₄	—	2	2	no	—
211	C₂×C₄	—	2	2	no	—
212	C₂×C₄	—	2	2	no	—
213	C₂×C₄	—	4	2	no	—
214	C₂×C₄	—	4	2	no	—
215	C₂×C₄	—	4	2	no	—
216	C₂×C₄	C₂×C₂²⋊Dic₄₃	1	1	yes	characteristic
217	C₂×C₄	D₄×Dic₄₃	1	2	yes	—
218	C₂×C₄	#13063293	1	1	yes	characteristic
219	C₂×C₄	#13063297	1	2	yes	—
220	C₈	—	4	2	no	—
221	C₈	—	172	4	no	—
222	C₈	—	172	2	no	—
223	C₈	—	172	2	no	—
224	C₂²	—	2	1	no	—
225	C₂²	—	2	2	no	—
226	C₂²	—	4	2	no	—
227	C₂²	—	4	4	no	—
228	C₂²	#14582779	1	1	yes	characteristic
229	C₄	—	2	1	no	—
230	C₄	—	2	2	no	—
231	C₄	—	4	2	no	—
232	C₄	—	8	2	no	—
233	C₄	#14583016	1	2	yes	—
234	C₄	#14583021	1	2	yes	—
235	C₄	#14583076	1	1	yes	characteristic
236	C₄	#14583076	1	1	yes	characteristic
237	C₂	—	4	1	no	—
238	C₂	—	8	2	no	—
239	C₂	#19134924	1	2	yes	—
240	C₂	#19134984	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#19143662

C₂

yes

maximal, characteristic

#19133187

C₂

yes

maximal, characteristic

#19133016

C₂

yes

maximal, complemented

#19132432

C₂

yes

maximal, complemented

C₄₃×#3131

C₂

yes

maximal, characteristic

#14582977

—

D₄×C₄₃⋊C₈

—

#14582952

C₂²

yes

—

#14582866

—

C₄×#10621877

C₂²

yes

—

#14582639

—

Q₈⋊(C₄₃⋊C₈)

—

Q₈⋊(C₄₃⋊C₈)

—

C₄₃×#533

C₂²

yes

characteristic

C₄₃×#532

C₂²

yes

characteristic

C₄₃×#488

—

C₄₃×#487

C₄

yes

—

C₄₃×#486

C₄

yes

—

C₄₃×#416

—

C₂×C₄×C₈×C₄₃

C₂²

yes

characteristic

C₂×#10621877

—

C₂×#10621877

—

C₂²×C₄₃⋊C₈

—

C₄⋊(C₄₃⋊C₈)

D₄

yes

—

C₄⋊(C₄₃⋊C₈)

D₄

yes

—

C₂²⋊(C₄₃⋊C₈)

—

C₂²⋊(C₄₃⋊C₈)

—

#13063236

—

C₄×C₄₃⋊C₈

—

C₄×C₄₃⋊C₈

—

C₂×#41×C₄₃

D₄

yes

—

C₂²×C₈×C₄₃

—

C₄⋊Q₈×C₄₃

C₂×C₄

yes

—

C₄⋊Q₈×C₄₃

C₂×C₄

yes

characteristic

#127×C₄₃

C₂×C₄

yes

characteristic

#125×C₄₃

—

#124×C₄₃

D₄

yes

—

C₂²⋊Q₈×C₄₃

—

#121×C₄₃

—

C₄×Q₈×C₄₃

—

C₄×D₄×C₄₃

—

#117×C₄₃

—

C₂×C₄²×C₄₃

C₂³

yes

characteristic

#103×C₄₃

—

#102×C₄₃

—

C₄×C₈×C₄₃

—

C₄×C₈×C₄₃

C₂×C₄

yes

—

#41×C₄₃

—

#41×C₄₃

—

C₂×Q₈×C₄₃

—

C₂×Q₈×C₄₃

C₂²⋊C₄

yes

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

C₂×D₄

yes

characteristic

C₂²×C₄×C₄₃

#41

yes

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₂×C₈×C₄₃

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₂²⋊C₄×C₄₃

—

C₂²⋊C₄×C₄₃

—

C₄²×C₄₃

—

C₄²×C₄₃

C₂²×C₄

yes

characteristic

C₄²×C₄₃

C₂×D₄

yes

—

C₄²×C₄₃

C₂×D₄

yes

—

—

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂³×C₄₃

—

C₂³×C₄₃

#123

yes

characteristic

Q₈×C₄₃

—

Q₈×C₄₃

—

Q₈×C₄₃

—

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

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₄₃

C₄×D₄

yes

—

C₂×C₄×C₄₃

#120

yes

characteristic

C₂×C₄×C₄₃

#121

yes

—

C₈×C₄₃

—

100

C₄₃⋊C₈

—

101

C₄₃⋊C₈

—

102

C₄₃⋊C₈

—

103

#9067

—

maximal, Sylow

104

C₂²×C₄₃

—

105

C₂²×C₄₃

—

106

C₂²×C₄₃

—

107

C₂²×C₄₃

—

108

C₂²×C₄₃

#386

yes

characteristic

109

C₄×C₄₃

—

110

C₄×C₄₃

—

111

C₄×C₄₃

—

112

C₄×C₄₃

—

113

C₄×C₄₃

#443

yes

—

114

C₄×C₄₃

#444

yes

—

115

C₄×C₄₃

#455

yes

characteristic

116

C₄×C₄₃

#455

yes

characteristic

117

#3131

D₄₃

yes

characteristic

118

#2979

—

119

#1525

—

120

#1485

—

121

#1278

—

122

C₂×C₄₃

—

123

C₂×C₄₃

—

124

C₂×C₄₃

#1876

yes

—

125

C₂×C₄₃

#1885

yes

characteristic

126

#533

C₂×D₄₃

yes

characteristic

127

#532

C₂×D₄₃

yes

characteristic

128

#488

—

129

#487

Dic₄₃

yes

—

130

#486

Dic₄₃

yes

—

131

#436

—

132

C₈×D₄

—

133

#431

—

134

#416

—

135

#408

—

136

C₄×M₁₆

—

137

C₂×C₄×C₈

C₂×D₄₃

yes

characteristic

138

#329

—

139

Q₈⋊C₈

—

140

Q₈⋊C₈

—

141

C₄₃

#9067

yes

characteristic, complemented, Sylow

142

C₂×#41

C₂²⋊D₄₃

yes

—

143

C₂×M₁₆

—

144

C₂×M₁₆

—

145

C₂²×C₈

—

146

C₂²×C₈

—

147

C₄⋊Q₈

C₂×Dic₄₃

yes

—

148

C₄⋊Q₈

C₂×Dic₄₃

yes

characteristic

149

#127

C₂×Dic₄₃

yes

characteristic

150

#125

—

151

#124

C₂²⋊D₄₃

yes

—

152

C₂²⋊Q₈

—

153

#121

—

154

C₄×Q₈

—

155

C₄×D₄

—

156

#117

—

157

C₂×C₄²

C₂²×D₄₃

yes

characteristic

158

C₄⋊C₈

—

159

C₄⋊C₈

—

160

#103

—

161

#102

—

162

C₂²⋊C₈

—

163

C₂²⋊C₈

—

164

#97

—

165

C₄×C₈

—

166

C₄×C₈

—

167

C₄×C₈

—

168

C₄×C₈

C₂×Dic₄₃

yes

—

169

#41

—

170

#41

—

171

C₂×Q₈

—

172

C₂×Q₈

C₂²⋊Dic₄₃

yes

—

173

C₂×D₄

—

174

C₂×D₄

—

175

C₂×D₄

C₂²⋊Dic₄₃

yes

—

176

C₂²×C₄

—

177

C₂²×C₄

#10621900

yes

—

178

C₂²×C₄

C₂×C₂²⋊D₄₃

yes

characteristic

179

M₁₆

—

180

M₁₆

—

344

—

181

M₁₆

—

172

—

182

C₂×C₈

—

183

C₂×C₈

—

184

C₂×C₈

—

185

C₂×C₈

—

186

C₂×C₈

—

187

C₂×C₈

—

344

—

188

C₂×C₈

—

172

—

189

C₄⋊C₄

—

190

C₄⋊C₄

—

191

C₄⋊C₄

—

192

C₄⋊C₄

—

193

C₂²⋊C₄

—

194

C₂²⋊C₄

—

195

C₄²

—

196

C₄²

D₄×D₄₃

yes

—

197

C₄²

C₂²×Dic₄₃

yes

characteristic

198

C₄²

C₂×C₂²⋊D₄₃

yes

characteristic

199

C₂³

—

200

C₂³

#13063306

yes

characteristic

201

Q₈

—

202

Q₈

—

203

Q₈

—

204

D₄

—

205

D₄

—

206

D₄

—

207

D₄

—

208

C₂×C₄

—

209

C₂×C₄

—

210

C₂×C₄

—

211

C₂×C₄

—

212

C₂×C₄

—

213

C₂×C₄

—

214

C₂×C₄

—

215

C₂×C₄

—

216

C₂×C₄

C₂×C₂²⋊Dic₄₃

yes

characteristic

217

C₂×C₄

D₄×Dic₄₃

yes

—

218

C₂×C₄

#13063293

yes

characteristic

219

C₂×C₄

#13063297

yes

—

220

C₈

—

221

C₈

—

172

—

222

C₈

—

172

—

223

C₈

—

172

—

224

C₂²

—

225

C₂²

—

226

C₂²

—

227

C₂²

—

228

C₂²

#14582779

yes

characteristic

229

C₄

—

230

C₄

—

231

C₄

—

232

C₄

—

233

C₄

#14583016

yes

—

234

C₄

#14583021

yes

—

235

C₄

#14583076

yes

characteristic

236

C₄

#14583076

yes

characteristic

237

C₂

—

238

C₂

—

239

C₂

#19134924

yes

—

240

C₂

#19134984

yes

characteristic

	subgroup	G/H
center	C₂×C₄	#13063293
commutator	C₄²×C₄₃	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₄₃×#3131	C₂
socle	C₂²×C₄₃	#386
prime radical	C₄₃×#532	C₂²
cosocle	C₂×C₄²×C₄₃	C₂³
hypercenter	#3131	D₄₃
hypocenter	C₄₃	#9067
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3131

subgroup

G/H

center

C₂×C₄

#13063293

commutator

C₄²×C₄₃

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₄₃

Fitting

C₄₃×#3131

C₂

socle

C₂²×C₄₃

#386

prime radical

C₄₃×#532

C₂²

cosocle

C₂×C₄²×C₄₃

C₂³

D₄₃

C₄₃

G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3131

N	H ≅ G/N	type
3. #19133016	C₂	semidirect
4. #19132432	C₂	semidirect
141. C₄₃	#9067	semidirect

H ≅ G/N

type

3. #19133016

C₂

semidirect

4. #19132432

C₂

semidirect

141. C₄₃

#9067

semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#19143662	2
#19133187	2
#19133016	2
#19132432	2
C₄₃×#3131	2
#9067	43

subgroup

index

C₄₃×#3131

Subgroups — #24991909

Conjugacy classes of subgroups

Complements

Maximal subgroups