Finite Group Databasebeta

C2×#15690745 #20260780

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

Aliases

direct productC2×#15690745

Splittings

SylowC97 ⋊ C2×#108

Subgroups

subgroupG/H
centerC2×C4C22⋊D97
commutatorC4×C97C22×C4
FrattiniC2×C4C22×D97
FittingC2×M16×C97C2
socleC22×C97C4⋊C4
hypercenterC2×M16D97
hypocenterC97C2×#108
LCSG ▷ C4×C97 ▷ C2×C97 ▷ C97
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C2×M16

106 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

988 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#27141614, #27141616, #27141619, …
maximal normal subgroup of#27141614, #27141616, #27141619, …
maximal quotient ofC2×#20260485, C2×#20260487, #27140482, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 594);