Finite Group Databasebeta

C8×Dic1186 #49182840

order37952
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC8×Dic1186

Splittings

SylowC593 ⋊ C8×Q8

Subgroups

subgroupG/H
centerC2×C8C2×D593
commutatorC2×C593C22×C8
FrattiniC2×C4C22×D593
FittingC4×C8×C593C2
socle, prime radicalC22×C593C22×C4
cosocleC2×C4×C593C23
hypercenterC4×C8D593
hypocenterC593C8×Q8
LCSG ▷ C2×C593 ▷ C593
UCSC1 ◁ C2×C8 ◁ C4×C8

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 37952

Conjugacy classes & character table

9512 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37952, 674);