Finite Group Databasebeta

C2×Dic776 #20261163

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

Aliases

direct productC2×Dic776

Splittings

SylowC97 ⋊ C2×Q32

Subgroups

subgroupG/H
centerC22D776
commutatorC8×C97C23
FrattiniC8C22×D97
FittingC2×C16×C97C2
socleC22×C97D8
hypercenterC2×C16D97
hypocenterC97C2×Q32
LCSG ▷ C8×C97 ▷ C4×C97 ▷ C2×C97 ▷ C97
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16

82 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#27139916, #27139918, #27139928, …
maximal normal subgroup of#27139916, #27139918, #27139928, …
maximal quotient ofC2×#20260540, C2×#20260561, C4×Dic776, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 977);