Finite Group Databasebeta

C2×#15690871 #20261719

order6208
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×#15690871

Splittings

SylowC97 ⋊ C2×#101

Subgroups

subgroupG/H
centerC22C22⋊#87604
commutatorC22×C97C22×C4
FrattiniC22C22×#87604
FittingC22×C4×C97C4
socleC22×C97C22⋊C4
hypercenterC22×C4#87604
hypocenterC97C2×#101
LCSG ▷ C22×C97 ▷ C2×C97 ▷ C97
UCSC1 ◁ C22 ◁ C23 ◁ C22×C4

146 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

406 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#27156833, #27156834, C4×#15690871, …
maximal normal subgroup of#27156833, #27156834, C4×#15690871, …
maximal quotient ofC2×#20261580, C2×#20261581, #27156978, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 1533);