Finite Group Databasebeta

#95×C67⋊C8 #30760988

order17152
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct product#95×C67⋊C8

Splittings

SylowC67 ⋊ C8×#95

Subgroups

subgroupG/H
center, FrattiniC23×C4C22×D67
commutatorC2×C67C42×C8
FittingC4×#95×C67C2
socle, prime radicalC24×C67C22×C4
cosocleC23×C4×C67C23
hypercenterC4×#95D67
hypocenterC67C8×#95
LCSG ▷ C2×C67 ▷ C67
UCSC1 ◁ C23×C4 ◁ C4×#95

1174 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17152

Conjugacy classes & character table

2800 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17152, 74725);