Finite Group Databasebeta

C2×#32914725 #49148933

order36928
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct productC2×#32914725

Splittings

SylowC577 ⋊ C2×#101

Subgroups

subgroupG/H
centerC22C22⋊#14556313
commutatorC22×C577C22×C4
FrattiniC22C22×#14556313
FittingC22×C4×C577C4
socleC22×C577C22⋊C4
prime radicalC23×C577C2×C4
cosocleC2×Dic577C23
hypercenterC22×C4#14556313
hypocenterC577C2×#101
LCSG ▷ C22×C577 ▷ C2×C577 ▷ C577
UCSC1 ◁ C22 ◁ C23 ◁ C22×C4

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 18464

Conjugacy classes & character table

2326 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36928, 1533);