Group #33004454 — subgroups

Subgroups — #33004454

Order 18688.

494 conjugacy classes of subgroups; only the 159 normal subgroups are shown.

normal subgroups only

This group has 494 conjugacy classes of subgroups — too many to draw. Only its 159 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	C₂×#17988967	C₂	1	1	yes	maximal, characteristic
2	C₂×#17988392	C₂	1	4	yes	maximal
3	C₄×#14556525	C₂	1	1	yes	maximal, characteristic
4	C₂×C₄⋊C₁₆×C₇₃	C₂	1	1	yes	maximal, characteristic
5	C₂²×Dic₂₉₂	—	2	1	no	—
6	C₂²×Dic₂₉₂	C₂²	1	2	yes	—
7	C₂×#14556591	—	2	1	no	—
8	#17988967	—	2	2	no	—
9	#17988967	C₄	1	4	yes	complemented
10	C₂×#14556525	C₂²	1	2	yes	—
11	C₄×C₄⋊Dic₇₃	—	2	1	no	—
12	#17988392	—	2	8	no	—
13	#17988350	—	2	1	no	—
14	C₂²×C₁₆×C₇₃	C₂²	1	2	yes	—
15	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
16	C₄⋊C₁₆×C₇₃	—	2	2	no	—
17	C₂²×Dic₁₄₆	—	2	2	no	—
18	C₂×Dic₂₉₂	—	2	4	no	—
19	C₂×Dic₂₉₂	—	2	4	no	—
20	C₂×Dic₂₉₂	—	2	2	no	—
21	C₂×Dic₂₉₂	—	2	4	no	—
22	C₂×Dic₂₉₂	—	4	4	no	—
23	C₂×Dic₂₉₂	C₂×C₄	1	4	yes	—
24	#14556591	—	2	4	no	—
25	#14556591	—	4	2	no	—
26	C₂×C₄⋊Dic₇₃	—	2	2	no	—
27	C₂×C₄⋊Dic₇₃	—	4	1	no	—
28	C₂×C₄⋊Dic₇₃	—	4	1	no	—
29	C₂×C₄×Dic₇₃	—	4	1	no	—
30	#14556525	—	2	2	no	—
31	#14556525	D₄	1	4	yes	—
32	#14556498	—	4	1	no	—
33	C₂²×C₈×C₇₃	D₄	1	1	yes	characteristic
34	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
35	C₂×C₄²×C₇₃	D₄	1	1	yes	characteristic
36	C₂×C₁₆×C₇₃	—	2	4	no	—
37	C₂×C₁₆×C₇₃	—	2	2	no	—
38	C₄×C₈×C₇₃	C₂×C₄	1	2	yes	—
39	C₄×C₈×C₇₃	D₄	1	2	yes	—
40	C₂×Dic₁₄₆	—	2	4	no	—
41	C₂×Dic₁₄₆	—	4	4	no	—
42	C₂×Dic₁₄₆	—	4	4	no	—
43	C₂×Dic₁₄₆	—	4	2	no	—
44	C₂²×Dic₇₃	—	4	2	no	—
45	C₂²×Dic₇₃	—	4	2	no	—
46	Dic₂₉₂	—	2	8	no	—
47	Dic₂₉₂	—	4	8	no	—
48	Dic₂₉₂	—	4	2	no	—
49	Dic₂₉₂	—	4	2	no	—
50	C₄⋊Dic₇₃	—	2	4	no	—
51	C₄⋊Dic₇₃	—	4	4	no	—
52	C₄⋊Dic₇₃	—	4	4	no	—
53	C₄⋊Dic₇₃	—	4	2	no	—
54	C₄×Dic₇₃	—	8	2	no	—
55	C₂²×C₄×C₇₃	D₈	1	1	yes	characteristic
56	C₂²×C₄×C₇₃	D₈	1	1	yes	characteristic
57	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
58	C₂×C₈×C₇₃	—	2	2	no	—
59	C₂×C₈×C₇₃	C₂²⋊C₄	1	2	yes	—
60	C₂×C₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
61	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
62	C₂×C₈×C₇₃	C₂×D₄	1	1	yes	characteristic
63	C₂×C₈×C₇₃	#41	1	2	yes	—
64	C₄²×C₇₃	C₂²⋊C₄	1	2	yes	—
65	C₄²×C₇₃	SD₁₆	1	2	yes	—
66	C₁₆×C₇₃	—	4	2	no	—
67	C₂³×C₇₃	C₂×D₈	1	1	yes	characteristic
68	C₂×C₄×C₇₃	—	2	2	no	—
69	C₂×C₄×C₇₃	#102	1	2	yes	—
70	C₂×C₄×C₇₃	#102	1	2	yes	—
71	C₂×C₄×C₇₃	SD₃₂	1	2	yes	—
72	C₂×C₄×C₇₃	Q₃₂	1	2	yes	—
73	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
74	C₂×C₄×C₇₃	#121	1	2	yes	—
75	C₂×C₄×C₇₃	C₂×SD₁₆	1	1	yes	characteristic
76	C₂×C₄×C₇₃	AGL(1,ℤ/8)	1	2	yes	—
77	C₂×Dic₇₃	—	4	4	no	—
78	C₂×Dic₇₃	—	4	4	no	—
79	C₂×Dic₇₃	—	8	4	no	—
80	C₂×Dic₇₃	—	8	2	no	—
81	C₂×Dic₇₃	—	8	2	no	—
82	Dic₁₄₆	—	4	4	no	—
83	Dic₁₄₆	—	4	4	no	—
84	Dic₁₄₆	—	8	4	no	—
85	C₈×C₇₃	—	2	2	no	—
86	C₈×C₇₃	C₄×D₄	1	2	yes	—
87	C₈×C₇₃	#124	1	1	yes	characteristic
88	C₈×C₇₃	#127	1	1	yes	characteristic
89	C₂²×C₇₃	C₂×#102	1	1	yes	characteristic
90	C₂²×C₇₃	#459	1	2	yes	—
91	C₂²×C₇₃	C₂×SD₃₂	1	1	yes	characteristic
92	C₂²×C₇₃	C₂×Q₃₂	1	1	yes	characteristic
93	C₂²×C₇₃	#510	1	2	yes	—
94	C₄×C₇₃	—	2	2	no	—
95	C₄×C₇₃	#358	1	4	yes	complemented
96	C₄×C₇₃	#390	1	1	yes	characteristic
97	C₄×C₇₃	#418	1	1	yes	characteristic
98	C₄×C₇₃	#460	1	2	yes	—
99	Dic₇₃	—	8	4	no	—
100	Dic₇₃	—	8	4	no	—
101	#13253	—	73	1	no	maximal, Sylow
102	C₂×C₇₃	#1982	1	1	yes	characteristic
103	C₂×C₇₃	C₂×#358	1	1	yes	characteristic
104	C₂×C₇₃	#2141	1	1	yes	characteristic
105	C₂×C₇₃	#2208	1	2	yes	—
106	C₂×C₇₃	#2209	1	2	yes	—
107	C₂×#494	—	73	1	no	—
108	C₂×C₄⋊C₁₆	D₇₃	1	1	yes	characteristic
109	C₂×#358	—	73	4	no	—
110	C₄×#107	—	73	1	no	—
111	C₇₃	#13253	1	1	yes	characteristic, complemented, Sylow
112	C₂²×Q₁₆	—	73	2	no	—
113	C₂²×Q₁₆	—	146	1	no	—
114	C₂×C₄⋊Q₈	—	146	1	no	—
115	C₂²×C₁₆	C₂×D₇₃	1	2	yes	—
116	#494	—	73	4	no	—
117	#494	—	146	2	no	—
118	C₂×#107	—	73	2	no	—
119	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
120	C₄×C₄⋊C₄	—	146	1	no	—
121	C₄⋊C₁₆	—	2	2	no	—
122	#358	—	146	8	no	—
123	#340	—	146	1	no	—
124	C₂²×Q₈	—	146	2	no	—
125	C₂×Q₁₆	—	292	4	no	—
126	C₂×Q₁₆	—	73	4	no	—
127	C₂×Q₁₆	—	146	4	no	—
128	C₂×Q₁₆	—	146	4	no	—
129	C₂×Q₁₆	—	146	2	no	—
130	C₂×Q₁₆	—	146	4	no	—
131	C₂²×C₈	D₂₉₂	1	1	yes	characteristic
132	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
133	C₄⋊Q₈	—	292	2	no	—
134	C₄⋊Q₈	—	146	4	no	—
135	C₂×C₄⋊C₄	—	292	1	no	—
136	C₂×C₄⋊C₄	—	292	1	no	—
137	C₂×C₄⋊C₄	—	146	2	no	—
138	C₂×C₄²	—	292	1	no	—
139	C₂×C₄²	D₂₉₂	1	1	yes	characteristic
140	C₂×C₁₆	—	2	4	no	—
141	C₂×C₁₆	—	2	2	no	—
142	#107	—	73	4	no	—
143	#107	—	146	2	no	—
144	C₄×C₈	C₄×D₇₃	1	2	yes	—
145	C₄×C₈	C₂²⋊D₇₃	1	2	yes	—
146	#95	—	292	1	no	—
147	C₂×Q₈	—	292	2	no	—
148	C₂×Q₈	—	292	4	no	—
149	C₂×Q₈	—	292	4	no	—
150	C₂×Q₈	—	146	4	no	—
151	C₂²×C₄	—	292	2	no	—
152	C₂²×C₄	—	292	2	no	—
153	C₂²×C₄	D₅₈₄	1	1	yes	characteristic
154	C₂²×C₄	D₅₈₄	1	1	yes	characteristic
155	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
156	Q₁₆	—	292	8	no	—
157	Q₁₆	—	292	2	no	—
158	Q₁₆	—	292	2	no	—
159	Q₁₆	—	146	8	no	—
160	C₂×C₈	—	2	2	no	—
161	C₂×C₈	#11924005	1	2	yes	—
162	C₂×C₈	C₂×C₄×D₇₃	1	1	yes	characteristic
163	C₂×C₈	D₄×D₇₃	1	2	yes	—
164	C₂×C₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
165	C₂×C₈	#11924029	1	2	yes	—
166	C₄⋊C₄	—	292	4	no	—
167	C₄⋊C₄	—	292	4	no	—
168	C₄⋊C₄	—	292	2	no	—
169	C₄⋊C₄	—	146	4	no	—
170	C₄²	—	584	2	no	—
171	C₄²	#11924005	1	2	yes	—
172	C₄²	#11924017	1	2	yes	—
173	C₁₆	—	4	2	no	—
174	C₂³	C₂×D₅₈₄	1	1	yes	characteristic
175	Q₈	—	292	4	no	—
176	Q₈	—	292	4	no	—
177	Q₈	—	584	4	no	—
178	C₂×C₄	—	2	2	no	—
179	C₂×C₄	—	292	4	no	—
180	C₂×C₄	—	292	4	no	—
181	C₂×C₄	—	584	2	no	—
182	C₂×C₄	—	584	2	no	—
183	C₂×C₄	—	584	4	no	—
184	C₂×C₄	#14556513	1	2	yes	—
185	C₂×C₄	#14556513	1	2	yes	—
186	C₂×C₄	#14556536	1	2	yes	—
187	C₂×C₄	Dic₅₈₄	1	2	yes	—
188	C₂×C₄	C₂×#11924005	1	1	yes	characteristic
189	C₂×C₄	#14556566	1	2	yes	—
190	C₂×C₄	C₂×#11924017	1	1	yes	characteristic
191	C₂×C₄	#14556619	1	2	yes	—
192	C₈	—	2	2	no	—
193	C₈	#14556553	1	2	yes	—
194	C₈	#14556580	1	1	yes	characteristic
195	C₈	#14556587	1	1	yes	characteristic
196	C₂²	C₂×#14556513	1	1	yes	characteristic
197	C₂²	#17988783	1	2	yes	—
198	C₂²	C₂×#14556536	1	1	yes	characteristic
199	C₂²	C₂×Dic₅₈₄	1	1	yes	characteristic
200	C₂²	#17989030	1	2	yes	—
201	C₄	—	2	2	no	—
202	C₄	—	584	4	no	—
203	C₄	—	584	4	no	—
204	C₄	#17988392	1	4	yes	complemented
205	C₄	#17988488	1	1	yes	characteristic
206	C₄	#17988593	1	1	yes	characteristic
207	C₄	#17988788	1	2	yes	—
208	C₂	#22610857	1	1	yes	characteristic
209	C₂	C₂×#17988392	1	1	yes	characteristic
210	C₂	#22611652	1	1	yes	characteristic
211	C₂	#22611977	1	2	yes	—
212	C₂	#22611982	1	2	yes	—

subgroup

G/H

class size

multiplicity

normal?

properties

C₂×#17988967

C₂

yes

maximal, characteristic

C₂×#17988392

C₂

yes

maximal

C₄×#14556525

C₂

yes

maximal, characteristic

C₂×C₄⋊C₁₆×C₇₃

C₂

yes

maximal, characteristic

C₂²×Dic₂₉₂

—

C₂²×Dic₂₉₂

C₂²

yes

—

C₂×#14556591

—

#17988967

—

#17988967

C₄

yes

complemented

C₂×#14556525

C₂²

yes

—

C₄×C₄⋊Dic₇₃

—

#17988392

—

#17988350

—

C₂²×C₁₆×C₇₃

C₂²

yes

—

C₂×C₄×C₈×C₇₃

C₂²

yes

characteristic

C₄⋊C₁₆×C₇₃

—

C₂²×Dic₁₄₆

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

—

C₂×Dic₂₉₂

C₂×C₄

yes

—

#14556591

—

#14556591

—

C₂×C₄⋊Dic₇₃

—

C₂×C₄⋊Dic₇₃

—

C₂×C₄⋊Dic₇₃

—

C₂×C₄×Dic₇₃

—

#14556525

—

#14556525

D₄

yes

—

#14556498

—

C₂²×C₈×C₇₃

D₄

yes

characteristic

C₂²×C₈×C₇₃

C₂³

yes

characteristic

C₂×C₄²×C₇₃

D₄

yes

characteristic

C₂×C₁₆×C₇₃

—

C₂×C₁₆×C₇₃

—

C₄×C₈×C₇₃

C₂×C₄

yes

—

C₄×C₈×C₇₃

D₄

yes

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂×Dic₁₄₆

—

C₂²×Dic₇₃

—

C₂²×Dic₇₃

—

Dic₂₉₂

—

Dic₂₉₂

—

Dic₂₉₂

—

Dic₂₉₂

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄⋊Dic₇₃

—

C₄×Dic₇₃

—

C₂²×C₄×C₇₃

D₈

yes

characteristic

C₂²×C₄×C₇₃

D₈

yes

characteristic

C₂²×C₄×C₇₃

C₂×D₄

yes

characteristic

C₂×C₈×C₇₃

—

C₂×C₈×C₇₃

C₂²⋊C₄

yes

—

C₂×C₈×C₇₃

C₂²×C₄

yes

characteristic

C₂×C₈×C₇₃

C₂×D₄

yes

—

C₂×C₈×C₇₃

C₂×D₄

yes

characteristic

C₂×C₈×C₇₃

#41

yes

—

C₄²×C₇₃

C₂²⋊C₄

yes

—

C₄²×C₇₃

SD₁₆

yes

—

C₁₆×C₇₃

—

C₂³×C₇₃

C₂×D₈

yes

characteristic

C₂×C₄×C₇₃

—

C₂×C₄×C₇₃

#102

yes

—

C₂×C₄×C₇₃

#102

yes

—

C₂×C₄×C₇₃

SD₃₂

yes

—

C₂×C₄×C₇₃

Q₃₂

yes

—

C₂×C₄×C₇₃

C₂×C₂²⋊C₄

yes

characteristic

C₂×C₄×C₇₃

#121

yes

—

C₂×C₄×C₇₃

C₂×SD₁₆

yes

characteristic

C₂×C₄×C₇₃

AGL(1,ℤ/8)

yes

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

C₂×Dic₇₃

—

Dic₁₄₆

—

Dic₁₄₆

—

Dic₁₄₆

—

C₈×C₇₃

—

C₈×C₇₃

C₄×D₄

yes

—

C₈×C₇₃

yes

C₈×C₇₃

yes

C₂²×C₇₃

yes

C₂²×C₇₃

yes

—

C₂²×C₇₃

C₂×SD₃₂

yes

characteristic

C₂²×C₇₃

C₂×Q₃₂

yes

characteristic

C₂²×C₇₃

#510

yes

—

C₄×C₇₃

—

C₄×C₇₃

yes

C₄×C₇₃

yes

C₄×C₇₃

yes

C₄×C₇₃

yes

—

Dic₇₃

—

100

Dic₇₃

—

101

#13253

—

maximal, Sylow

102

C₂×C₇₃

#1982

yes

characteristic

103

C₂×C₇₃

C₂×#358

yes

characteristic

104

C₂×C₇₃

#2141

yes

characteristic

105

C₂×C₇₃

#2208

yes

—

106

C₂×C₇₃

#2209

yes

—

107

C₂×#494

—

108

C₂×C₄⋊C₁₆

D₇₃

yes

characteristic

109

C₂×#358

—

110

C₄×#107

—

111

C₇₃

#13253

yes

characteristic, complemented, Sylow

112

C₂²×Q₁₆

—

113

C₂²×Q₁₆

—

146

—

114

C₂×C₄⋊Q₈

—

146

—

115

C₂²×C₁₆

C₂×D₇₃

yes

—

116

#494

—

117

#494

—

146

—

118

C₂×#107

—

119

C₂×C₄×C₈

C₂×D₇₃

yes

characteristic

120

C₄×C₄⋊C₄

—

146

—

121

C₄⋊C₁₆

—

122

#358

—

146

—

123

#340

—

146

—

124

C₂²×Q₈

—

146

—

125

C₂×Q₁₆

—

292

—

126

C₂×Q₁₆

—

127

C₂×Q₁₆

—

146

—

128

C₂×Q₁₆

—

146

—

129

C₂×Q₁₆

—

146

—

130

C₂×Q₁₆

—

146

—

131

C₂²×C₈

D₂₉₂

yes

characteristic

132

C₂²×C₈

C₂²×D₇₃

yes

characteristic

133

C₄⋊Q₈

—

292

—

134

C₄⋊Q₈

—

146

—

135

C₂×C₄⋊C₄

—

292

—

136

C₂×C₄⋊C₄

—

292

—

137

C₂×C₄⋊C₄

—

146

—

138

C₂×C₄²

—

292

—

139

C₂×C₄²

D₂₉₂

yes

characteristic

140

C₂×C₁₆

—

141

C₂×C₁₆

—

142

#107

—

143

#107

—

146

—

144

C₄×C₈

C₄×D₇₃

yes

—

145

C₄×C₈

C₂²⋊D₇₃

yes

—

146

#95

—

292

—

147

C₂×Q₈

—

292

—

148

C₂×Q₈

—

292

—

149

C₂×Q₈

—

292

—

150

C₂×Q₈

—

146

—

151

C₂²×C₄

—

292

—

152

C₂²×C₄

—

292

—

153

C₂²×C₄

D₅₈₄

yes

characteristic

154

C₂²×C₄

D₅₈₄

yes

characteristic

155

C₂²×C₄

C₂×D₂₉₂

yes

characteristic

156

Q₁₆

—

292

—

157

Q₁₆

—

292

—

158

Q₁₆

—

292

—

159

Q₁₆

—

146

—

160

C₂×C₈

—

161

C₂×C₈

#11924005

yes

—

162

C₂×C₈

C₂×C₄×D₇₃

yes

characteristic

163

C₂×C₈

D₄×D₇₃

yes

—

164

C₂×C₈

C₂×C₂²⋊D₇₃

yes

characteristic

165

C₂×C₈

#11924029

yes

—

166

C₄⋊C₄

—

292

—

167

C₄⋊C₄

—

292

—

168

C₄⋊C₄

—

292

—

169

C₄⋊C₄

—

146

—

170

C₄²

—

584

—

171

C₄²

#11924005

yes

—

172

C₄²

#11924017

yes

—

173

C₁₆

—

174

C₂³

C₂×D₅₈₄

yes

characteristic

175

Q₈

—

292

—

176

Q₈

—

292

—

177

Q₈

—

584

—

178

C₂×C₄

—

179

C₂×C₄

—

292

—

180

C₂×C₄

—

292

—

181

C₂×C₄

—

584

—

182

C₂×C₄

—

584

—

183

C₂×C₄

—

584

—

184

C₂×C₄

#14556513

yes

—

185

C₂×C₄

#14556513

yes

—

186

C₂×C₄

#14556536

yes

—

187

C₂×C₄

Dic₅₈₄

yes

—

188

C₂×C₄

C₂×#11924005

yes

characteristic

189

C₂×C₄

#14556566

yes

—

190

C₂×C₄

C₂×#11924017

yes

characteristic

191

C₂×C₄

#14556619

yes

—

192

C₈

—

193

C₈

#14556553

yes

—

194

C₈

#14556580

yes

characteristic

195

C₈

#14556587

yes

characteristic

196

C₂²

C₂×#14556513

yes

characteristic

197

C₂²

#17988783

yes

—

198

C₂²

C₂×#14556536

yes

characteristic

199

C₂²

C₂×Dic₅₈₄

yes

characteristic

200

C₂²

#17989030

yes

—

201

C₄

—

202

C₄

—

584

—

203

C₄

—

584

—

204

C₄

#17988392

yes

complemented

205

C₄

#17988488

yes

characteristic

206

C₄

#17988593

yes

characteristic

207

C₄

#17988788

yes

—

208

C₂

#22610857

yes

characteristic

209

C₂

C₂×#17988392

yes

characteristic

210

C₂

#22611652

yes

characteristic

211

C₂

#22611977

yes

—

212

C₂

#22611982

yes

—

	subgroup	G/H
center	C₂³	C₂×D₅₈₄
commutator	C₂×C₈×C₇₃	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₇₃
Fitting	C₂×C₄⋊C₁₆×C₇₃	C₂
socle, prime radical	C₂³×C₇₃	C₂×D₈
cosocle	C₂²×C₈×C₇₃	C₂³
hypercenter	C₂×C₄⋊C₁₆	D₇₃
hypocenter	C₇₃	#13253
LCS	G ▷ C₂×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₂×C₄⋊C₁₆

subgroup

G/H

center

C₂³

C₂×D₅₈₄

commutator

C₂×C₈×C₇₃

C₂²×C₄

Frattini

C₂²×C₈

C₂²×D₇₃

Fitting

C₂×C₄⋊C₁₆×C₇₃

C₂

socle, prime radical

C₂³×C₇₃

C₂×D₈

cosocle

C₂²×C₈×C₇₃

C₂³

hypercenter

C₂×C₄⋊C₁₆

D₇₃

hypocenter

C₇₃

#13253

LCS

G ▷ C₂×C₈×C₇₃ ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃

UCS

C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₂×C₄⋊C₁₆

N	H ≅ G/N	type
9. #17988967	C₄	semidirect
95. C₄×C₇₃	#358	semidirect
111. C₇₃	#13253	semidirect
204. C₄	#17988392	semidirect

H ≅ G/N

type

9. #17988967

C₄

semidirect

95. C₄×C₇₃

#358

semidirect

111. C₇₃

#13253

semidirect

204. C₄

#17988392

semidirect

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

subgroup	index
C₂×#17988967	2
C₂×#17988392	2
C₄×#14556525	2
C₂×C₄⋊C₁₆×C₇₃	2
#13253	73

subgroup

index

C₂×C₄⋊C₁₆×C₇₃

Subgroups — #33004454

Conjugacy classes of subgroups

Complements

Maximal subgroups