Finite Group Databasebeta

C2×#15690880 #20261747

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

Aliases

direct productC2×#15690880

Splittings

SylowC97 ⋊ C2×#108

Subgroups

subgroupG/H
centerC22C4⋊#87604
commutatorC4×C97C22×C4
FrattiniC4C22×#87604
FittingC2×C8×C97C4
socleC22×C97C4⋊C4
hypercenterC2×C8#87604
hypocenterC97C2×#108
LCSG ▷ C4×C97 ▷ C2×C97 ▷ C97
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8

106 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

412 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#27156801, #27156805, #27156810, …
maximal normal subgroup of#27156801, #27156805, #27156810, …
maximal quotient ofC2×#20261596, C2×#20261599, #27157284, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 1561);