Group #24984718 — subgroups

Subgroups — #24984718

Order 11008.

608 conjugacy classes of subgroups; only the 143 normal subgroups are shown.

normal subgroups only

This group has 608 conjugacy classes of subgroups — too many to draw. Only its 143 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	#19134738	C₂	1	2	yes	maximal, complemented
2	#19132416	C₂	1	4	yes	maximal, complemented
3	C₄×#127×C₄₃	C₂	1	1	yes	maximal, characteristic
4	#14582654	—	2	2	no	—
5	#14582654	—	2	2	no	—
6	#14582654	C₂²	1	4	yes	—
7	C₂×#127×C₄₃	C₄	1	1	yes	characteristic
8	C₂×C₄×D₄×C₄₃	—	2	2	no	—
9	C₂×C₄×D₄×C₄₃	C₄	1	2	yes	—
10	C₄₃×#390	—	2	2	no	—
11	C₄₃×#390	C₂²	1	2	yes	—
12	C₄₃×#384	C₄	1	1	yes	characteristic
13	C₄³×C₄₃	C₂²	1	1	yes	characteristic
14	C₂²×C₄₃⋊C₈	—	2	4	no	—
15	C₂²×D₄×C₄₃	—	2	2	no	—
16	C₂²×D₄×C₄₃	C₂×C₄	1	2	yes	—
17	C₂³×C₄×C₄₃	—	2	2	no	—
18	#127×C₄₃	—	2	2	no	—
19	#127×C₄₃	C₈	1	4	yes	complemented
20	C₄×D₄×C₄₃	—	4	8	no	—
21	C₄×D₄×C₄₃	—	4	4	no	—
22	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
23	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	2	yes	—
24	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
25	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
26	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
27	C₂×C₄²×C₄₃	C₂×C₄	1	1	yes	characteristic
28	C₂×C₄²×C₄₃	D₄	1	2	yes	—
29	C₂×C₄²×C₄₃	D₄	1	2	yes	—
30	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
31	C₂⁴×C₄₃	—	2	2	no	—
32	C₂×D₄×C₄₃	—	2	8	no	—
33	C₂×D₄×C₄₃	—	2	2	no	—
34	C₂×D₄×C₄₃	—	4	4	no	—
35	C₂×D₄×C₄₃	—	4	4	no	—
36	C₂×D₄×C₄₃	—	4	2	no	—
37	C₂×D₄×C₄₃	—	4	2	no	—
38	C₂×D₄×C₄₃	C₂×C₈	1	4	yes	—
39	C₂²×C₄×C₄₃	—	2	2	no	—
40	C₂²×C₄×C₄₃	—	4	8	no	—
41	C₂²×C₄×C₄₃	—	4	4	no	—
42	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
43	C₂²×C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
44	C₂²×C₄×C₄₃	C₂²⋊C₄	1	1	yes	characteristic
45	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
46	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
47	C₄⋊C₄×C₄₃	—	4	2	no	—
48	C₄⋊C₄×C₄₃	—	4	4	no	—
49	C₂²⋊C₄×C₄₃	—	4	4	no	—
50	C₂²⋊C₄×C₄₃	—	4	8	no	—
51	C₄²×C₄₃	—	2	2	no	—
52	C₄²×C₄₃	—	2	4	no	—
53	C₄²×C₄₃	—	4	2	no	—
54	C₄²×C₄₃	—	4	1	no	—
55	C₄²×C₄₃	C₂×C₈	1	2	yes	—
56	C₄²×C₄₃	M₁₆	1	2	yes	—
57	C₂×C₄₃⋊C₈	—	4	4	no	—
58	C₂×C₄₃⋊C₈	—	4	4	no	—
59	C₂×C₄₃⋊C₈	—	4	4	no	—
60	C₂³×C₄₃	—	2	4	no	—
61	C₂³×C₄₃	—	4	2	no	—
62	C₂³×C₄₃	—	4	2	no	—
63	C₂³×C₄₃	—	4	4	no	—
64	C₂³×C₄₃	—	4	4	no	—
65	C₂³×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
66	D₄×C₄₃	—	4	4	no	—
67	D₄×C₄₃	—	4	4	no	—
68	D₄×C₄₃	—	4	16	no	—
69	C₂×C₄×C₄₃	—	2	2	no	—
70	C₂×C₄×C₄₃	—	2	1	no	—
71	C₂×C₄×C₄₃	—	2	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	—	2	2	no	—
76	C₂×C₄×C₄₃	—	2	1	no	—
77	C₂×C₄×C₄₃	—	2	2	no	—
78	C₂×C₄×C₄₃	—	4	2	no	—
79	C₂×C₄×C₄₃	—	4	4	no	—
80	C₂×C₄×C₄₃	—	8	8	no	—
81	C₂×C₄×C₄₃	C₂²⋊C₈	1	4	yes	—
82	C₂×C₄×C₄₃	#100	1	2	yes	—
83	C₂×C₄×C₄₃	C₂²×C₈	1	1	yes	characteristic
84	C₂×C₄×C₄₃	C₂×M₁₆	1	1	yes	characteristic
85	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	4	yes	—
86	C₄₃⋊C₈	—	8	4	no	—
87	#7603	—	43	1	no	maximal, Sylow
88	C₂²×C₄₃	—	4	4	no	—
89	C₂²×C₄₃	—	4	8	no	—
90	C₂²×C₄₃	—	8	2	no	—
91	C₂²×C₄₃	—	8	2	no	—
92	C₂²×C₄₃	—	8	4	no	—
93	C₂²×C₄₃	C₂×C₂²⋊C₈	1	1	yes	characteristic
94	C₂²×C₄₃	#410	1	1	yes	characteristic
95	C₂²×C₄₃	C₂×#100	1	1	yes	characteristic
96	C₂²×C₄₃	#418	1	2	yes	—
97	C₂²×C₄₃	#421	1	2	yes	—
98	C₄×C₄₃	—	2	2	no	—
99	C₄×C₄₃	—	2	1	no	—
100	C₄×C₄₃	—	2	1	no	—
101	C₄×C₄₃	—	2	4	no	—
102	C₄×C₄₃	—	2	4	no	—
103	C₄×C₄₃	—	4	1	no	—
104	C₄×C₄₃	—	8	2	no	—
105	C₄×#127	D₄₃	1	1	yes	characteristic
106	#1839	—	43	2	no	—
107	#1270	—	43	4	no	—
108	C₂×C₄₃	—	8	4	no	—
109	C₂×C₄₃	#1460	1	1	yes	characteristic
110	C₂×C₄₃	#1478	1	2	yes	—
111	C₂×C₄₃	#1514	1	2	yes	—
112	C₂×C₄₃	#1536	1	1	yes	characteristic
113	C₂×C₄₃	#1555	1	1	yes	characteristic
114	C₂×#127	Dic₄₃	1	1	yes	characteristic
115	C₂×C₄×D₄	—	2	2	no	—
116	C₂×C₄×D₄	Dic₄₃	1	2	yes	—
117	#390	—	2	2	no	—
118	#390	C₂×D₄₃	1	2	yes	—
119	#384	Dic₄₃	1	1	yes	characteristic
120	C₄³	C₂×D₄₃	1	1	yes	characteristic
121	#336	—	43	4	no	—
122	#336	—	86	2	no	—
123	#336	—	86	2	no	—
124	C₄₃	#7603	1	1	yes	characteristic, complemented, Sylow
125	C₂²×D₄	—	2	2	no	—
126	C₂²×D₄	C₂×Dic₄₃	1	2	yes	—
127	C₂³×C₄	—	2	2	no	—
128	C₂²×C₈	—	86	4	no	—
129	#127	—	2	2	no	—
130	#127	C₄₃⋊C₈	1	4	yes	complemented
131	C₄×D₄	—	4	8	no	—
132	C₄×D₄	—	4	4	no	—
133	C₂×C₄⋊C₄	—	2	2	no	—
134	C₂×C₄⋊C₄	C₂×Dic₄₃	1	2	yes	—
135	C₂×C₂²⋊C₄	—	2	2	no	—
136	C₂×C₂²⋊C₄	—	2	4	no	—
137	C₂×C₄²	C₂×Dic₄₃	1	1	yes	characteristic
138	C₂×C₄²	C₂×Dic₄₃	1	1	yes	characteristic
139	C₂×C₄²	C₂²⋊D₄₃	1	2	yes	—
140	C₂×C₄²	C₂²⋊D₄₃	1	2	yes	—
141	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
142	C₂⁴	—	2	2	no	—
143	C₂×D₄	—	2	8	no	—
144	C₂×D₄	—	2	2	no	—
145	C₂×D₄	—	4	2	no	—
146	C₂×D₄	—	4	2	no	—
147	C₂×D₄	—	4	4	no	—
148	C₂×D₄	—	4	4	no	—
149	C₂×D₄	C₂×C₄₃⋊C₈	1	4	yes	—
150	C₂²×C₄	—	2	2	no	—
151	C₂²×C₄	—	4	8	no	—
152	C₂²×C₄	—	4	4	no	—
153	C₂²×C₄	C₂²⋊Dic₄₃	1	1	yes	characteristic
154	C₂²×C₄	C₂²⋊Dic₄₃	1	2	yes	—
155	C₂²×C₄	C₂²⋊Dic₄₃	1	1	yes	characteristic
156	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
157	C₂²×C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
158	C₂×C₈	—	172	4	no	—
159	C₂×C₈	—	172	4	no	—
160	C₂×C₈	—	172	4	no	—
161	C₄⋊C₄	—	4	2	no	—
162	C₄⋊C₄	—	4	4	no	—
163	C₂²⋊C₄	—	4	4	no	—
164	C₂²⋊C₄	—	4	8	no	—
165	C₄²	—	2	2	no	—
166	C₄²	—	2	4	no	—
167	C₄²	—	4	1	no	—
168	C₄²	—	4	2	no	—
169	C₄²	C₂×C₄₃⋊C₈	1	2	yes	—
170	C₄²	#10621877	1	2	yes	—
171	C₂³	—	2	4	no	—
172	C₂³	—	4	2	no	—
173	C₂³	—	4	2	no	—
174	C₂³	—	4	4	no	—
175	C₂³	—	4	4	no	—
176	C₂³	C₂×C₂²⋊Dic₄₃	1	1	yes	characteristic
177	D₄	—	4	4	no	—
178	D₄	—	4	16	no	—
179	D₄	—	4	4	no	—
180	C₂×C₄	—	2	2	no	—
181	C₂×C₄	—	2	1	no	—
182	C₂×C₄	—	2	1	no	—
183	C₂×C₄	—	2	2	no	—
184	C₂×C₄	—	2	2	no	—
185	C₂×C₄	—	2	2	no	—
186	C₂×C₄	—	2	2	no	—
187	C₂×C₄	—	2	1	no	—
188	C₂×C₄	—	2	2	no	—
189	C₂×C₄	—	4	2	no	—
190	C₂×C₄	—	4	4	no	—
191	C₂×C₄	—	8	8	no	—
192	C₂×C₄	C₂²⋊(C₄₃⋊C₈)	1	4	yes	—
193	C₂×C₄	#13063242	1	2	yes	—
194	C₂×C₄	C₂²×C₄₃⋊C₈	1	1	yes	characteristic
195	C₂×C₄	C₂×#10621877	1	1	yes	characteristic
196	C₂×C₄	#13063351	1	4	yes	—
197	C₈	—	344	4	no	—
198	C₂²	—	4	8	no	—
199	C₂²	—	4	4	no	—
200	C₂²	—	8	2	no	—
201	C₂²	—	8	2	no	—
202	C₂²	—	8	4	no	—
203	C₂²	C₂×C₂²⋊(C₄₃⋊C₈)	1	1	yes	characteristic
204	C₂²	#14582873	1	1	yes	characteristic
205	C₂²	C₂×#13063242	1	1	yes	characteristic
206	C₂²	#14582904	1	2	yes	—
207	C₂²	#14582916	1	2	yes	—
208	C₄	—	2	4	no	—
209	C₄	—	2	2	no	—
210	C₄	—	2	4	no	—
211	C₄	—	2	1	no	—
212	C₄	—	2	1	no	—
213	C₄	—	4	1	no	—
214	C₄	—	8	2	no	—
215	C₂	—	8	4	no	—
216	C₂	#19132916	1	1	yes	characteristic
217	C₂	#19132986	1	2	yes	—
218	C₂	#19133142	1	2	yes	—
219	C₂	#19133230	1	1	yes	characteristic
220	C₂	#19133309	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#19134738

C₂

yes

maximal, complemented

#19132416

C₂

yes

maximal, complemented

C₄×#127×C₄₃

C₂

yes

maximal, characteristic

#14582654

—

#14582654

—

#14582654

C₂²

yes

—

C₂×#127×C₄₃

C₄

yes

characteristic

C₂×C₄×D₄×C₄₃

—

C₂×C₄×D₄×C₄₃

C₄

yes

—

C₄₃×#390

—

C₄₃×#390

C₂²

yes

—

C₄₃×#384

C₄

yes

characteristic

C₄³×C₄₃

C₂²

yes

characteristic

C₂²×C₄₃⋊C₈

—

C₂²×D₄×C₄₃

—

C₂²×D₄×C₄₃

C₂×C₄

yes

—

C₂³×C₄×C₄₃

—

#127×C₄₃

—

#127×C₄₃

C₈

yes

complemented

C₄×D₄×C₄₃

—

C₄×D₄×C₄₃

—

C₂×C₄⋊C₄×C₄₃

—

C₂×C₄⋊C₄×C₄₃

C₂×C₄

yes

—

C₂×C₂²⋊C₄×C₄₃

—

C₂×C₂²⋊C₄×C₄₃

—

C₂×C₄²×C₄₃

C₂×C₄

yes

characteristic

C₂×C₄²×C₄₃

C₂×C₄

yes

characteristic

C₂×C₄²×C₄₃

D₄

yes

—

C₂×C₄²×C₄₃

D₄

yes

—

C₂×C₄²×C₄₃

C₂³

yes

characteristic

C₂⁴×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

—

C₂×D₄×C₄₃

C₂×C₈

yes

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

—

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

—

C₂²×C₄×C₄₃

C₂²⋊C₄

yes

characteristic

C₂²×C₄×C₄₃

C₂²×C₄

yes

characteristic

C₂²×C₄×C₄₃

C₂×D₄

yes

—

C₄⋊C₄×C₄₃

—

C₄⋊C₄×C₄₃

—

C₂²⋊C₄×C₄₃

—

C₂²⋊C₄×C₄₃

—

C₄²×C₄₃

—

C₄²×C₄₃

—

C₄²×C₄₃

—

C₄²×C₄₃

—

C₄²×C₄₃

C₂×C₈

yes

—

C₄²×C₄₃

M₁₆

yes

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂×C₄₃⋊C₈

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

—

C₂³×C₄₃

C₂×C₂²⋊C₄

yes

characteristic

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×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

—

C₂×C₄×C₄₃

C₂²⋊C₈

yes

—

C₂×C₄×C₄₃

#100

yes

—

C₂×C₄×C₄₃

C₂²×C₈

yes

characteristic

C₂×C₄×C₄₃

C₂×M₁₆

yes

characteristic

C₂×C₄×C₄₃

AGL(1,ℤ/8)

yes

—

C₄₃⋊C₈

—

#7603

—

maximal, Sylow

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

—

C₂²×C₄₃

C₂×C₂²⋊C₈

yes

C₂²×C₄₃

yes

C₂²×C₄₃

yes

C₂²×C₄₃

yes

—

C₂²×C₄₃

#421

yes

—

C₄×C₄₃

—

C₄×C₄₃

—

100

C₄×C₄₃

—

101

C₄×C₄₃

—

102

C₄×C₄₃

—

103

C₄×C₄₃

—

104

C₄×C₄₃

—

105

C₄×#127

D₄₃

yes

characteristic

106

#1839

—

107

#1270

—

108

C₂×C₄₃

—

109

C₂×C₄₃

#1460

yes

characteristic

110

C₂×C₄₃

#1478

yes

—

111

C₂×C₄₃

#1514

yes

—

112

C₂×C₄₃

#1536

yes

characteristic

113

C₂×C₄₃

#1555

yes

characteristic

114

C₂×#127

Dic₄₃

yes

characteristic

115

C₂×C₄×D₄

—

116

C₂×C₄×D₄

Dic₄₃

yes

—

117

#390

—

118

#390

C₂×D₄₃

yes

—

119

#384

Dic₄₃

yes

characteristic

120

C₄³

C₂×D₄₃

yes

characteristic

121

#336

—

122

#336

—

123

#336

—

124

C₄₃

#7603

yes

characteristic, complemented, Sylow

125

C₂²×D₄

—

126

C₂²×D₄

C₂×Dic₄₃

yes

—

127

C₂³×C₄

—

128

C₂²×C₈

—

129

#127

—

130

#127

C₄₃⋊C₈

yes

complemented

131

C₄×D₄

—

132

C₄×D₄

—

133

C₂×C₄⋊C₄

—

134

C₂×C₄⋊C₄

C₂×Dic₄₃

yes

—

135

C₂×C₂²⋊C₄

—

136

C₂×C₂²⋊C₄

—

137

C₂×C₄²

C₂×Dic₄₃

yes

characteristic

138

C₂×C₄²

C₂×Dic₄₃

yes

characteristic

139

C₂×C₄²

C₂²⋊D₄₃

yes

—

140

C₂×C₄²

C₂²⋊D₄₃

yes

—

141

C₂×C₄²

C₂²×D₄₃

yes

characteristic

142

C₂⁴

—

143

C₂×D₄

—

144

C₂×D₄

—

145

C₂×D₄

—

146

C₂×D₄

—

147

C₂×D₄

—

148

C₂×D₄

—

149

C₂×D₄

C₂×C₄₃⋊C₈

yes

—

150

C₂²×C₄

—

151

C₂²×C₄

—

152

C₂²×C₄

—

153

C₂²×C₄

C₂²⋊Dic₄₃

yes

characteristic

154

C₂²×C₄

C₂²⋊Dic₄₃

yes

—

155

C₂²×C₄

C₂²⋊Dic₄₃

yes

characteristic

156

C₂²×C₄

C₂²×Dic₄₃

yes

characteristic

157

C₂²×C₄

C₂×C₂²⋊D₄₃

yes

—

158

C₂×C₈

—

172

—

159

C₂×C₈

—

172

—

160

C₂×C₈

—

172

—

161

C₄⋊C₄

—

162

C₄⋊C₄

—

163

C₂²⋊C₄

—

164

C₂²⋊C₄

—

165

C₄²

—

166

C₄²

—

167

C₄²

—

168

C₄²

—

169

C₄²

C₂×C₄₃⋊C₈

yes

—

170

C₄²

#10621877

yes

—

171

C₂³

—

172

C₂³

—

173

C₂³

—

174

C₂³

—

175

C₂³

—

176

C₂³

C₂×C₂²⋊Dic₄₃

yes

characteristic

177

D₄

—

178

D₄

—

179

D₄

—

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

C₂²⋊(C₄₃⋊C₈)

yes

—

193

C₂×C₄

#13063242

yes

—

194

C₂×C₄

C₂²×C₄₃⋊C₈

yes

characteristic

195

C₂×C₄

C₂×#10621877

yes

characteristic

196

C₂×C₄

#13063351

yes

—

197

C₈

—

344

—

198

C₂²

—

199

C₂²

—

200

C₂²

—

201

C₂²

—

202

C₂²

—

203

C₂²

C₂×C₂²⋊(C₄₃⋊C₈)

yes

characteristic

204

C₂²

#14582873

yes

characteristic

205

C₂²

C₂×#13063242

yes

characteristic

206

C₂²

#14582904

yes

—

207

C₂²

#14582916

yes

—

208

C₄

—

209

C₄

—

210

C₄

—

211

C₄

—

212

C₄

—

213

C₄

—

214

C₄

—

215

C₂

—

216

C₂

#19132916

yes

characteristic

217

C₂

#19132986

yes

—

218

C₂

#19133142

yes

—

219

C₂

#19133230

yes

characteristic

220

C₂

#19133309

yes

characteristic

	subgroup	G/H
center	C₂³	C₂×C₂²⋊Dic₄₃
commutator	C₂×C₄×C₄₃	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₄×#127×C₄₃	C₂
socle	C₂³×C₄₃	C₂×C₂²⋊C₄
prime radical	C₂×#127×C₄₃	C₄
cosocle	C₂×C₄²×C₄₃	C₂³
hypercenter	C₄×#127	D₄₃
hypocenter	C₄₃	#7603
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₄³ ◁ C₄×#127

subgroup

G/H

center

C₂³

C₂×C₂²⋊Dic₄₃

commutator

C₂×C₄×C₄₃

C₂²×C₈

Frattini

C₂×C₄²

C₂²×D₄₃

Fitting

C₄×#127×C₄₃

C₂

socle

C₂³×C₄₃

C₂×C₂²⋊C₄

prime radical

C₂×#127×C₄₃

C₄

cosocle

C₂×C₄²×C₄₃

C₂³

D₄₃

C₄₃

G ▷ C₂×C₄×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃

UCS

C₁ ◁ C₂³ ◁ C₄³ ◁ C₄×#127

N	H ≅ G/N	type
1. #19134738	C₂	semidirect
2. #19132416	C₂	semidirect
19. #127×C₄₃	C₈	semidirect
124. C₄₃	#7603	semidirect
130. #127	C₄₃⋊C₈	semidirect

H ≅ G/N

type

1. #19134738

C₂

semidirect

2. #19132416

C₂

semidirect

19. #127×C₄₃

C₈

semidirect

124. C₄₃

#7603

semidirect

130. #127

C₄₃⋊C₈

semidirect

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

subgroup	index
#19134738	2
#19132416	2
C₄×#127×C₄₃	2
#7603	43

subgroup

index

#19134738

#19132416

C₄×#127×C₄₃

#7603

Subgroups — #24984718

Conjugacy classes of subgroups

Complements

Maximal subgroups