Group #28488379 — subgroups

Subgroups — #28488379

Order 15104.

602 conjugacy classes of subgroups; only the 135 normal subgroups are shown.

normal subgroups only

This group has 602 conjugacy classes of subgroups — too many to draw. Only its 135 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	#21424937	C₂	1	2	yes	maximal, complemented
2	#21422852	C₂	1	1	yes	maximal, characteristic, complemented
3	#21422764	C₂	1	2	yes	maximal, complemented
4	#21422385	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅₉×#493	C₂	1	1	yes	maximal, characteristic
6	#16837455	C₂²	1	1	yes	characteristic
7	#16837426	C₂²	1	2	yes	—
8	C₂×#14273644	—	2	4	no	—
9	C₄×#11745664	C₂²	1	1	yes	characteristic
10	#16837153	—	2	2	no	—
11	#16837146	—	2	4	no	—
12	#16837124	—	2	1	no	—
13	#16837123	—	2	1	no	—
14	C₂²×D₈×C₅₉	C₄	1	4	yes	—
15	C₂×#127×C₅₉	C₂²	1	2	yes	—
16	C₅₉×#493	—	2	1	no	—
17	C₅₉×#493	—	2	1	no	—
18	C₅₉×#493	—	2	2	no	—
19	C₂×C₄×C₈×C₅₉	C₂²	1	1	yes	characteristic
20	C₂×#11745664	—	2	2	no	—
21	C₂×#11745664	D₄	1	2	yes	—
22	C₄⋊(C₅₉⋊C₈)	—	2	2	no	—
23	C₄⋊(C₅₉⋊C₈)	—	2	2	no	—
24	C₄⋊(C₅₉⋊C₈)	D₄	1	2	yes	—
25	#14273644	—	4	8	no	—
26	C₂²⋊(C₅₉⋊C₈)	—	2	1	no	—
27	#14273638	—	2	1	no	—
28	C₄×C₅₉⋊C₈	—	2	1	no	—
29	C₄×C₅₉⋊C₈	—	2	1	no	—
30	C₂²×D₄×C₅₉	—	2	2	no	—
31	C₂²×D₄×C₅₉	—	2	2	no	—
32	C₂²×D₄×C₅₉	C₂×C₄	1	4	yes	—
33	C₂×D₈×C₅₉	—	2	4	no	—
34	C₂×D₈×C₅₉	—	2	4	no	—
35	C₂×D₈×C₅₉	—	4	8	no	—
36	C₂²×C₈×C₅₉	C₂×C₄	1	2	yes	—
37	#127×C₅₉	—	2	2	no	—
38	#127×C₅₉	—	2	2	no	—
39	#127×C₅₉	—	2	2	no	—
40	#127×C₅₉	—	2	2	no	—
41	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
42	C₄×C₈×C₅₉	D₄	1	1	yes	characteristic
43	C₄×C₈×C₅₉	D₄	1	1	yes	characteristic
44	C₄×C₈×C₅₉	D₄	1	2	yes	—
45	C₂⁴×C₅₉	—	2	4	no	—
46	C₂×D₄×C₅₉	—	2	4	no	—
47	C₂×D₄×C₅₉	—	2	4	no	—
48	C₂×D₄×C₅₉	—	4	8	no	—
49	C₂×D₄×C₅₉	—	4	2	no	—
50	C₂×D₄×C₅₉	—	4	2	no	—
51	C₂×D₄×C₅₉	—	4	2	no	—
52	C₂×D₄×C₅₉	—	4	2	no	—
53	C₂×D₄×C₅₉	—	4	4	no	—
54	C₂×D₄×C₅₉	—	4	4	no	—
55	C₂×D₄×C₅₉	—	8	4	no	—
56	C₂²×C₄×C₅₉	C₂²×C₄	1	1	yes	characteristic
57	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
58	C₂²×C₄×C₅₉	#41	1	1	yes	characteristic
59	D₈×C₅₉	—	4	8	no	—
60	D₈×C₅₉	—	4	8	no	—
61	C₂×C₈×C₅₉	—	2	4	no	—
62	C₂×C₈×C₅₉	C₂²⋊C₄	1	2	yes	—
63	C₂×C₈×C₅₉	C₂²⋊C₄	1	2	yes	—
64	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
65	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
66	C₄²×C₅₉	C₂×D₄	1	1	yes	characteristic
67	C₄²×C₅₉	#41	1	1	yes	characteristic
68	#11745664	—	2	4	no	—
69	#11745664	—	4	4	no	—
70	C₂×C₅₉⋊C₈	—	2	2	no	—
71	C₂×C₅₉⋊C₈	—	2	2	no	—
72	C₂×C₅₉⋊C₈	—	4	2	no	—
73	C₂³×C₅₉	—	4	4	no	—
74	C₂³×C₅₉	—	4	8	no	—
75	C₂³×C₅₉	—	8	4	no	—
76	C₂³×C₅₉	—	8	4	no	—
77	C₂³×C₅₉	C₄×D₄	1	1	yes	characteristic
78	D₄×C₅₉	—	4	8	no	—
79	D₄×C₅₉	—	8	4	no	—
80	D₄×C₅₉	—	8	4	no	—
81	D₄×C₅₉	—	8	4	no	—
82	D₄×C₅₉	—	8	4	no	—
83	D₄×C₅₉	—	8	2	no	—
84	D₄×C₅₉	—	8	2	no	—
85	C₂×C₄×C₅₉	—	2	2	no	—
86	C₂×C₄×C₅₉	—	2	2	no	—
87	C₂×C₄×C₅₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
88	C₂×C₄×C₅₉	C₄×D₄	1	1	yes	characteristic
89	C₂×C₄×C₅₉	#121	1	1	yes	characteristic
90	C₂×C₄×C₅₉	#121	1	1	yes	characteristic
91	C₂×C₄×C₅₉	#124	1	1	yes	characteristic
92	C₂×C₄×C₅₉	#127	1	1	yes	characteristic
93	C₂×C₄×C₅₉	AGL(1,ℤ/8)	1	4	yes	—
94	C₈×C₅₉	—	2	2	no	—
95	C₈×C₅₉	#100	1	4	yes	complemented
96	C₅₉⋊C₈	—	4	2	no	—
97	C₅₉⋊C₈	—	4	2	no	—
98	C₅₉⋊C₈	—	8	2	no	—
99	#9811	—	59	1	no	maximal, Sylow
100	C₂²×C₅₉	—	2	1	no	—
101	C₂²×C₅₉	—	2	1	no	—
102	C₂²×C₅₉	—	8	4	no	—
103	C₂²×C₅₉	—	8	4	no	—
104	C₂²×C₅₉	—	8	4	no	—
105	C₂²×C₅₉	—	16	8	no	—
106	C₂²×C₅₉	#390	1	1	yes	characteristic
107	C₂²×C₅₉	#442	1	2	yes	—
108	C₄×C₅₉	—	2	1	no	—
109	C₄×C₅₉	—	2	1	no	—
110	C₄×C₅₉	C₂×#100	1	2	yes	—
111	C₄×C₅₉	#469	1	2	yes	—
112	C₄×C₅₉	#472	1	2	yes	—
113	C₄×C₅₉	#496	1	2	yes	—
114	C₂×#493	D₅₉	1	1	yes	characteristic
115	#1965	—	59	2	no	—
116	#1566	—	59	1	no	—
117	#1545	—	59	2	no	—
118	#1451	—	59	1	no	—
119	C₂×C₅₉	—	2	2	no	—
120	C₂×C₅₉	—	16	4	no	—
121	C₂×C₅₉	#1965	1	1	yes	characteristic
122	C₂×C₅₉	#1972	1	1	yes	characteristic
123	C₂×C₅₉	#1978	1	1	yes	characteristic
124	C₂²×D₈	Dic₅₉	1	4	yes	—
125	C₂×#127	C₂×D₅₉	1	2	yes	—
126	#493	—	2	1	no	—
127	#493	—	2	1	no	—
128	#493	—	2	2	no	—
129	#431	—	59	1	no	—
130	#423	—	59	2	no	—
131	C₂×#100	—	118	4	no	—
132	C₄×M₁₆	—	59	1	no	—
133	C₂×C₄×C₈	C₂×D₅₉	1	1	yes	characteristic
134	#334	—	118	2	no	—
135	#331	—	118	4	no	—
136	#322	—	118	1	no	—
137	#322	—	118	1	no	—
138	C₅₉	#9811	1	1	yes	characteristic, complemented, Sylow
139	C₂²×D₄	—	2	2	no	—
140	C₂²×D₄	—	2	2	no	—
141	C₂²×D₄	C₂×Dic₅₉	1	4	yes	—
142	C₂×D₈	—	2	4	no	—
143	C₂×D₈	—	2	4	no	—
144	C₂×D₈	—	4	8	no	—
145	C₂×M₁₆	—	59	2	no	—
146	C₂×M₁₆	—	118	2	no	—
147	C₂²×C₈	C₂×Dic₅₉	1	2	yes	—
148	#127	—	2	2	no	—
149	#127	—	2	2	no	—
150	#127	—	2	2	no	—
151	#127	—	2	2	no	—
152	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
153	C₄⋊C₈	—	59	2	no	—
154	C₄⋊C₈	—	118	2	no	—
155	C₄⋊C₈	—	118	2	no	—
156	#100	—	236	8	no	—
157	C₂²⋊C₈	—	118	1	no	—
158	#97	—	118	1	no	—
159	C₄×C₈	—	118	1	no	—
160	C₄×C₈	—	118	1	no	—
161	C₄×C₈	C₂²⋊D₅₉	1	1	yes	characteristic
162	C₄×C₈	C₂²⋊D₅₉	1	1	yes	characteristic
163	C₄×C₈	C₂²⋊D₅₉	1	2	yes	—
164	C₂⁴	—	2	4	no	—
165	C₂×D₄	—	2	4	no	—
166	C₂×D₄	—	2	4	no	—
167	C₂×D₄	—	4	8	no	—
168	C₂×D₄	—	4	2	no	—
169	C₂×D₄	—	4	2	no	—
170	C₂×D₄	—	4	2	no	—
171	C₂×D₄	—	4	2	no	—
172	C₂×D₄	—	4	4	no	—
173	C₂×D₄	—	4	4	no	—
174	C₂×D₄	—	8	4	no	—
175	C₂²×C₄	D₄×D₅₉	1	1	yes	characteristic
176	C₂²×C₄	#11745687	1	1	yes	characteristic
177	C₂²×C₄	C₂²×Dic₅₉	1	1	yes	characteristic
178	D₈	—	4	8	no	—
179	D₈	—	4	8	no	—
180	M₁₆	—	118	4	no	—
181	M₁₆	—	236	4	no	—
182	C₂×C₈	—	2	4	no	—
183	C₂×C₈	—	118	2	no	—
184	C₂×C₈	—	118	2	no	—
185	C₂×C₈	—	236	2	no	—
186	C₂×C₈	C₂²⋊Dic₅₉	1	2	yes	—
187	C₂×C₈	C₂²⋊Dic₅₉	1	2	yes	—
188	C₄²	D₄×D₅₉	1	1	yes	characteristic
189	C₄²	#11745687	1	1	yes	characteristic
190	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
191	C₄²	C₂×C₂²⋊D₅₉	1	1	yes	characteristic
192	C₂³	—	4	4	no	—
193	C₂³	—	4	8	no	—
194	C₂³	—	8	4	no	—
195	C₂³	—	8	4	no	—
196	C₂³	D₄×Dic₅₉	1	1	yes	characteristic
197	D₄	—	4	8	no	—
198	D₄	—	8	4	no	—
199	D₄	—	8	4	no	—
200	D₄	—	8	4	no	—
201	D₄	—	8	4	no	—
202	D₄	—	8	2	no	—
203	D₄	—	8	2	no	—
204	C₂×C₄	—	2	2	no	—
205	C₂×C₄	—	2	2	no	—
206	C₂×C₄	C₂×C₂²⋊Dic₅₉	1	1	yes	characteristic
207	C₂×C₄	D₄×Dic₅₉	1	1	yes	characteristic
208	C₂×C₄	#14273698	1	1	yes	characteristic
209	C₂×C₄	#14273698	1	1	yes	characteristic
210	C₂×C₄	#14273714	1	1	yes	characteristic
211	C₂×C₄	#14273723	1	1	yes	characteristic
212	C₂×C₄	#14273751	1	4	yes	—
213	C₈	—	2	2	no	—
214	C₈	—	472	2	no	—
215	C₈	—	236	2	no	—
216	C₈	—	236	2	no	—
217	C₈	#14273644	1	4	yes	complemented
218	C₂²	—	2	1	no	—
219	C₂²	—	2	1	no	—
220	C₂²	—	8	4	no	—
221	C₂²	—	8	4	no	—
222	C₂²	—	8	4	no	—
223	C₂²	—	16	8	no	—
224	C₂²	#16837305	1	1	yes	characteristic
225	C₂²	#16837514	1	2	yes	—
226	C₄	—	2	1	no	—
227	C₄	—	2	1	no	—
228	C₄	C₂×#14273644	1	2	yes	—
229	C₄	#16837652	1	2	yes	—
230	C₄	#16837669	1	2	yes	—
231	C₄	#16837790	1	2	yes	—
232	C₂	—	2	2	no	—
233	C₂	—	16	4	no	—
234	C₂	#21424937	1	1	yes	characteristic
235	C₂	#21424973	1	1	yes	characteristic
236	C₂	#21425007	1	1	yes	characteristic

subgroup

G/H

class size

multiplicity

normal?

properties

#21424937

C₂

yes

maximal, complemented

#21422852

C₂

yes

maximal, characteristic, complemented

#21422764

C₂

yes

maximal, complemented

#21422385

C₂

yes

maximal, characteristic, complemented

C₂×C₅₉×#493

C₂

yes

maximal, characteristic

#16837455

C₂²

yes

characteristic

#16837426

C₂²

yes

—

C₂×#14273644

—

C₄×#11745664

C₂²

yes

—

—

—

—

C₂²×D₈×C₅₉

C₄

yes

—

C₂×#127×C₅₉

C₂²

yes

—

C₅₉×#493

—

C₅₉×#493

—

C₅₉×#493

—

C₂×C₄×C₈×C₅₉

C₂²

yes

characteristic

C₂×#11745664

—

C₂×#11745664

D₄

yes

—

C₄⋊(C₅₉⋊C₈)

—

C₄⋊(C₅₉⋊C₈)

—

C₄⋊(C₅₉⋊C₈)

D₄

yes

—

#14273644

—

C₂²⋊(C₅₉⋊C₈)

—

#14273638

—

C₄×C₅₉⋊C₈

—

C₄×C₅₉⋊C₈

—

C₂²×D₄×C₅₉

—

C₂²×D₄×C₅₉

—

C₂²×D₄×C₅₉

C₂×C₄

yes

—

C₂×D₈×C₅₉

—

C₂×D₈×C₅₉

—

C₂×D₈×C₅₉

—

C₂²×C₈×C₅₉

C₂×C₄

yes

—

#127×C₅₉

—

#127×C₅₉

—

#127×C₅₉

—

#127×C₅₉

—

C₂×C₄²×C₅₉

C₂³

yes

characteristic

C₄×C₈×C₅₉

D₄

yes

characteristic

C₄×C₈×C₅₉

D₄

yes

characteristic

C₄×C₈×C₅₉

D₄

yes

—

C₂⁴×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂×D₄×C₅₉

—

C₂²×C₄×C₅₉

C₂²×C₄

yes

characteristic

C₂²×C₄×C₅₉

C₂×D₄

yes

characteristic

C₂²×C₄×C₅₉

#41

yes

characteristic

D₈×C₅₉

—

D₈×C₅₉

—

C₂×C₈×C₅₉

—

C₂×C₈×C₅₉

C₂²⋊C₄

yes

—

C₂×C₈×C₅₉

C₂²⋊C₄

yes

—

C₄²×C₅₉

C₂×D₄

yes

characteristic

C₄²×C₅₉

C₂×D₄

yes

characteristic

C₄²×C₅₉

C₂×D₄

yes

C₄²×C₅₉

yes

—

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂×C₅₉⋊C₈

—

C₂³×C₅₉

—

C₂³×C₅₉

—

C₂³×C₅₉

—

C₂³×C₅₉

—

C₂³×C₅₉

C₄×D₄

yes

characteristic

D₄×C₅₉

—

D₄×C₅₉

—

D₄×C₅₉

—

D₄×C₅₉

—

D₄×C₅₉

—

D₄×C₅₉

—

D₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

—

C₂×C₄×C₅₉

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₅₉

C₄×D₄

yes

C₂×C₄×C₅₉

yes

C₂×C₄×C₅₉

yes

C₂×C₄×C₅₉

yes

C₂×C₄×C₅₉

yes

C₂×C₄×C₅₉

yes

—

C₈×C₅₉

—

C₈×C₅₉

#100

yes

complemented

C₅₉⋊C₈

—

C₅₉⋊C₈

—

C₅₉⋊C₈

—

#9811

—

maximal, Sylow

100

C₂²×C₅₉

—

101

C₂²×C₅₉

—

102

C₂²×C₅₉

—

103

C₂²×C₅₉

—

104

C₂²×C₅₉

—

105

C₂²×C₅₉

—

106

C₂²×C₅₉

#390

yes

characteristic

107

C₂²×C₅₉

#442

yes

—

108

C₄×C₅₉

—

109

C₄×C₅₉

—

110

C₄×C₅₉

C₂×#100

yes

—

111

C₄×C₅₉

#469

yes

—

112

C₄×C₅₉

#472

yes

—

113

C₄×C₅₉

#496

yes

—

114

C₂×#493

D₅₉

yes

characteristic

115

#1965

—

116

#1566

—

117

#1545

—

118

#1451

—

119

C₂×C₅₉

—

120

C₂×C₅₉

—

121

C₂×C₅₉

#1965

yes

characteristic

122

C₂×C₅₉

#1972

yes

characteristic

123

C₂×C₅₉

#1978

yes

characteristic

124

C₂²×D₈

Dic₅₉

yes

—

125

C₂×#127

C₂×D₅₉

yes

—

126

#493

—

127

#493

—

128

#493

—

129

#431

—

130

#423

—

131

C₂×#100

—

118

—

132

C₄×M₁₆

—

133

C₂×C₄×C₈

C₂×D₅₉

yes

characteristic

134

#334

—

118

—

135

#331

—

118

—

136

#322

—

118

—

137

#322

—

118

—

138

C₅₉

#9811

yes

characteristic, complemented, Sylow

139

C₂²×D₄

—

140

C₂²×D₄

—

141

C₂²×D₄

C₂×Dic₅₉

yes

—

142

C₂×D₈

—

143

C₂×D₈

—

144

C₂×D₈

—

145

C₂×M₁₆

—

146

C₂×M₁₆

—

118

—

147

C₂²×C₈

C₂×Dic₅₉

yes

—

148

#127

—

149

#127

—

150

#127

—

151

#127

—

152

C₂×C₄²

C₂²×D₅₉

yes

characteristic

153

C₄⋊C₈

—

154

C₄⋊C₈

—

118

—

155

C₄⋊C₈

—

118

—

156

#100

—

236

—

157

C₂²⋊C₈

—

118

—

158

#97

—

118

—

159

C₄×C₈

—

118

—

160

C₄×C₈

—

118

—

161

C₄×C₈

C₂²⋊D₅₉

yes

characteristic

162

C₄×C₈

C₂²⋊D₅₉

yes

characteristic

163

C₄×C₈

C₂²⋊D₅₉

yes

—

164

C₂⁴

—

165

C₂×D₄

—

166

C₂×D₄

—

167

C₂×D₄

—

168

C₂×D₄

—

169

C₂×D₄

—

170

C₂×D₄

—

171

C₂×D₄

—

172

C₂×D₄

—

173

C₂×D₄

—

174

C₂×D₄

—

175

C₂²×C₄

D₄×D₅₉

yes

characteristic

176

C₂²×C₄

#11745687

yes

characteristic

177

C₂²×C₄

C₂²×Dic₅₉

yes

characteristic

178

D₈

—

179

D₈

—

180

M₁₆

—

118

—

181

M₁₆

—

236

—

182

C₂×C₈

—

183

C₂×C₈

—

118

—

184

C₂×C₈

—

118

—

185

C₂×C₈

—

236

—

186

C₂×C₈

C₂²⋊Dic₅₉

yes

—

187

C₂×C₈

C₂²⋊Dic₅₉

yes

—

188

C₄²

D₄×D₅₉

yes

characteristic

189

C₄²

#11745687

yes

characteristic

190

C₄²

C₂×C₂²⋊D₅₉

yes

characteristic

191

C₄²

C₂×C₂²⋊D₅₉

yes

characteristic

192

C₂³

—

193

C₂³

—

194

C₂³

—

195

C₂³

—

196

C₂³

D₄×Dic₅₉

yes

characteristic

197

D₄

—

198

D₄

—

199

D₄

—

200

D₄

—

201

D₄

—

202

D₄

—

203

D₄

—

204

C₂×C₄

—

205

C₂×C₄

—

206

C₂×C₄

C₂×C₂²⋊Dic₅₉

yes

characteristic

207

C₂×C₄

D₄×Dic₅₉

yes

characteristic

208

C₂×C₄

#14273698

yes

characteristic

209

C₂×C₄

#14273698

yes

characteristic

210

C₂×C₄

#14273714

yes

characteristic

211

C₂×C₄

#14273723

yes

characteristic

212

C₂×C₄

#14273751

yes

—

213

C₈

—

214

C₈

—

472

—

215

C₈

—

236

—

216

C₈

—

236

—

217

C₈

#14273644

yes

complemented

218

C₂²

—

219

C₂²

—

220

C₂²

—

221

C₂²

—

222

C₂²

—

223

C₂²

—

224

C₂²

#16837305

yes

characteristic

225

C₂²

#16837514

yes

—

226

C₄

—

227

C₄

—

228

C₄

C₂×#14273644

yes

—

229

C₄

#16837652

yes

—

230

C₄

#16837669

yes

—

231

C₄

#16837790

yes

—

232

C₂

—

233

C₂

—

234

C₂

#21424937

yes

characteristic

235

C₂

#21424973

yes

characteristic

236

C₂

#21425007

yes

characteristic

	subgroup	G/H
center	C₂²	#16837305
commutator	C₂²×C₄×C₅₉	C₂²×C₄
Frattini	C₂×C₄²	C₂²×D₅₉
Fitting, prime radical	C₂×C₅₉×#493	C₂
socle	C₂²×C₅₉	#390
cosocle	C₂×C₄²×C₅₉	C₂³
hypercenter	C₂×#493	D₅₉
hypocenter	C₅₉	#9811
LCS	G ▷ C₂²×C₄×C₅₉ ▷ C₂²×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#493

subgroup

G/H

center

C₂²

#16837305

commutator

C₂²×C₄×C₅₉

C₂²×C₄

Frattini

C₂×C₄²

C₂²×D₅₉

Fitting, prime radical

C₂×C₅₉×#493

C₂

socle

C₂²×C₅₉

#390

cosocle

C₂×C₄²×C₅₉

C₂³

D₅₉

C₅₉

G ▷ C₂²×C₄×C₅₉ ▷ C₂²×C₅₉ ▷ C₅₉

UCS

C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#493

N	H ≅ G/N	type
1. #21424937	C₂	semidirect
2. #21422852	C₂	semidirect
3. #21422764	C₂	semidirect
4. #21422385	C₂	semidirect
95. C₈×C₅₉	#100	semidirect
138. C₅₉	#9811	semidirect
217. C₈	#14273644	semidirect

H ≅ G/N

type

1. #21424937

C₂

semidirect

2. #21422852

C₂

semidirect

3. #21422764

C₂

semidirect

4. #21422385

C₂

semidirect

95. C₈×C₅₉

#100

semidirect

138. C₅₉

#9811

semidirect

217. C₈

#14273644

semidirect

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

subgroup	index
#21424937	2
#21422852	2
#21422764	2
#21422385	2
C₂×C₅₉×#493	2
#9811	59

subgroup

index

C₂×C₅₉×#493

Subgroups — #28488379

Conjugacy classes of subgroups

Complements

Maximal subgroups