Finite Group Databasebeta

C2×#15671217 #19212136

order5888
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C25

Aliases

direct productC2×#15671217

Splittings

FittingC2×C23×#336 ⋊ C2
SylowC23 ⋊ C2×#1270

Subgroups

subgroupG/H
centerC24(C2×D23)⋊C4
commutatorC2×C4×C23C22×C8
FrattiniC2×C42C22×D23
FittingC2×C23×#336C2
socleC24×C23C22⋊C4
hypercenterC2×#336D23
hypocenterC23C2×#1270
LCSG ▷ C2×C4×C23 ▷ C22×C23 ▷ C23
UCSC1 ◁ C24 ◁ C22×C42 ◁ C2×#336

994 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

956 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(5888, 57498);