Finite Group Databasebeta

C2×Dic1186 #23748731

order9488
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×Dic1186
unambiguous semidirect product(C2×C593)⋊Q8

Splittings

SylowC593 ⋊ C2×Q8

Subgroups

subgroupG/H
centerC22C2×D593
commutator, cosocleC2×C593C23
FrattiniC2C22×D593
FittingC2×C4×C593C2
socle, prime radicalC22×C593C22
hypercenterC2×C4D593
hypocenterC593C2×Q8
LCSG ▷ C2×C593 ▷ C593
UCSC1 ◁ C22 ◁ C2×C4

38 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2378 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#34039203, #34039208, #34039210, …
maximal normal subgroup of#34039203, #34039208, #34039210, …
maximal quotient ofC2×#23748712, C2×C4⋊Dic593, C4×Dic1186, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9488, 38);