Finite Group Databasebeta

C2×D1552 #20261156

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

Aliases

direct productC2×D1552

Splittings

FittingC2×C16×C97 ⋊ C2
SylowC97 ⋊ C2×D16

Subgroups

subgroupG/H
centerC22D776
commutatorC8×C97C23
FrattiniC8C22×D97
FittingC2×C16×C97C2
socleC22×C97D8
hypercenterC2×C16D97
hypocenterC97C2×D16
LCSG ▷ C8×C97 ▷ C4×C97 ▷ C2×C97 ▷ C97
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16

98 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1558 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#27139913, #27139915, #27139925, …
maximal normal subgroup of#27139913, #27139915, #27139925, …
maximal quotient ofC2×#20260537, C2×#20260561, C4×D1552, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 970);