Finite Group
Database
beta
?
☰
Guide
Advanced search
Search syntax
Named series
Order coverage
Sitemap
About
☀ Light mode
Frobenius groups
Groups G = K ⋊ H whose complement H meets each of its conjugates trivially.
order
group
splitting
190
D
95
#4439
C
5
×C
19
⋊
C
2
192
C
8
2
⋊C
3
#4444
C
8
2
⋊
C
3
192
C
2
2
⋊(C
4
2
⋊C
3
)
#5461
C
2
2
×C
4
2
⋊
C
3
192
#5464
H(3,𝔽
4
)
⋊
C
3
192
#564⋊C
3
#5466
#564
⋊
C
3
192
C
2
2
⋊(C
2
2
⋊A
4
)
#5982
C
2
6
⋊
C
3
194
D
97
#5986
C
97
⋊
C
2
196
#5997
C
7
2
⋊
C
4
198
D
99
#6005
C
9
×C
11
⋊
C
2
198
C
3
⋊D
33
#6011
C
3
2
×C
11
⋊
C
2
200
#6053
C
5
2
⋊
C
8
200
#6057
C
5
2
⋊
Q
8
201
C
67
⋊C
3
#6066
C
67
⋊
C
3
202
D
101
#6068
C
101
⋊
C
2
203
C
29
⋊C
7
#6070
C
29
⋊
C
7
205
C
41
⋊C
5
#6084
C
41
⋊
C
5
206
D
103
#6086
C
103
⋊
C
2
210
D
105
#6152
C
3
×C
5
×C
7
⋊
C
2
212
#6157
C
53
⋊
C
4
214
D
107
#6161
C
107
⋊
C
2
218
D
109
#6342
C
109
⋊
C
2
219
C
73
⋊C
3
#6344
C
73
⋊
C
3
222
D
37
⋊C
3
#6362
C
37
⋊
C
2
×C
3
222
D
111
#6366
C
3
×C
37
⋊
C
2
226
D
113
#6572
C
113
⋊
C
2
228
C
2
2
⋊(C
19
⋊C
3
)
#6585
C
2
2
×C
19
⋊
C
3
230
D
115
#6593
C
5
×C
23
⋊
C
2
234
D
117
#6616
C
9
×C
13
⋊
C
2
234
C
3
⋊D
39
#6626
C
3
2
×C
13
⋊
C
2
237
C
79
⋊C
3
#6633
C
79
⋊
C
3
238
D
119
#6637
C
7
×C
17
⋊
C
2
240
AGL(1,𝔽
16
)
#6830
C
2
4
⋊
C
3
×C
5
242
D
121
#6849
C
121
⋊
C
2
242
C
11
⋊D
11
#6852
C
11
2
⋊
C
2
244
#6923
C
61
⋊
C
4
246
D
123
#6930
C
3
×C
41
⋊
C
2
250
D
125
#6946
C
125
⋊
C
2
250
C
5
⋊D
25
#6952
C
5
×C
25
⋊
C
2
250
C
5
⋊(C
5
⋊D
5
)
#6959
C
5
3
⋊
C
2
253
C
23
⋊C
11
#7008
C
23
⋊
C
11
254
D
127
#7010
C
127
⋊
C
2
258
D
43
⋊C
3
#63106
C
43
⋊
C
2
×C
3
258
D
129
#63110
C
3
×C
43
⋊
C
2
260
#63121
C
5
×C
13
⋊
C
4
260
#63122
C
5
×C
13
⋊
C
4
262
D
131
#63130
C
131
⋊
C
2
266
D
133
#63175
C
7
×C
19
⋊
C
2
270
D
135
#63185
C
5
×C
27
⋊
C
2
270
C
3
⋊D
45
#63200
C
3
×C
5
×C
9
⋊
C
2
270
C
3
⋊(C
3
⋊D
15
)
#63211
C
3
3
×C
5
⋊
C
2
272
AGL(1,𝔽
17
)
#63263
C
17
⋊
C
16
273
#63270
C
7
×C
13
⋊
C
3
273
#63271
C
7
×C
13
⋊
C
3
274
D
137
#63273
C
137
⋊
C
2
278
D
139
#63290
C
139
⋊
C
2
282
D
141
#63339
C
3
×C
47
⋊
C
2
286
D
143
#63350
C
11
×C
13
⋊
C
2
290
D
145
#64402
C
5
×C
29
⋊
C
2
291
C
97
⋊C
3
#64404
C
97
⋊
C
3
292
#64408
C
73
⋊
C
4
294
D
49
⋊C
3
#64412
C
49
⋊
C
2
×C
3
294
D
147
#64416
C
3
×C
49
⋊
C
2
294
#64424
C
7
2
⋊
C
2
×C
3
294
#64425
C
7
2
⋊
C
2
×C
3
294
C
3
⋊(C
7
⋊D
7
)
#64433
C
3
×C
7
2
⋊
C
2
298
D
149
#64455
C
149
⋊
C
2
300
#64480
C
5
2
⋊
Dic
3
300
#1043⋊C
3
#64481
C
5
2
⋊
C
3
×C
4
300
C
2
2
⋊(C
5
2
⋊C
3
)
#64500
C
2
2
×C
5
2
⋊
C
3
301
C
43
⋊C
7
#64507
C
43
⋊
C
7
302
D
151
#64509
C
151
⋊
C
2
305
C
61
⋊C
5
#64554
C
61
⋊
C
5
306
D
153
#64558
C
9
×C
17
⋊
C
2
306
C
3
⋊D
51
#64564
C
3
2
×C
17
⋊
C
2
309
C
103
⋊C
3
#64576
C
103
⋊
C
3
310
D
31
⋊C
5
#64578
C
31
⋊
C
2
×C
5
310
D
155
#64582
C
5
×C
31
⋊
C
2
314
D
157
#64647
C
157
⋊
C
2
318
D
159
#64660
C
3
×C
53
⋊
C
2
322
D
161
#66306
C
7
×C
23
⋊
C
2
324
#66343
C
9
2
⋊
C
4
324
#66472
C
3
4
⋊
C
4
326
D
163
#66487
C
163
⋊
C
2
327
C
109
⋊C
3
#66489
C
109
⋊
C
3
328
#66502
C
41
⋊
C
8
330
D
165
#66517
C
3
×C
5
×C
11
⋊
C
2
333
#66526
C
37
⋊
C
9
334
D
167
#66529
C
167
⋊
C
2
336
C
7
⋊(C
4
2
⋊C
3
)
#66588
C
4
2
×C
7
⋊
C
3
336
C
2
2
⋊(C
2
2
⋊ΓL(1,𝔽
8
))
#66755
C
2
4
×C
7
⋊
C
3
338
D
169
#66761
C
169
⋊
C
2
338
C
13
⋊D
13
#66764
C
13
2
⋊
C
2
340
#66775
C
5
×C
17
⋊
C
4
340
#66776
C
5
×C
17
⋊
C
4
342
D
171
#66787
C
9
×C
19
⋊
C
2
342
AGL(1,𝔽
19
)
#66789
C
19
⋊
C
2
×C
9
342
C
3
⋊D
57
#66799
C
3
2
×C
19
⋊
C
2
346
D
173
#66819
C
173
⋊
C
2
350
D
175
#66837
C
7
×C
25
⋊
C
2
350
C
5
⋊D
35
#66843
C
5
2
×C
7
⋊
C
2
‹ Prev
2
Next ›
About Frobenius groups →
Finite Group DatabasebetaFinite Group Databasebeta