Finite Group Databasebeta

C2×#15688865 #20241972

order6016
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C22

Aliases

direct productC2×#15688865

Splittings

SylowC47 ⋊ C2×#330

Subgroups

subgroupG/H
centerC23C22⋊Dic47
commutatorC2×C4×C47C22×C4
FrattiniC42C22×D47
FittingC2×#125×C47C2
socleC23×C47C22⋊C4
hypercenterC2×#125D47
hypocenterC47C2×#330
LCSG ▷ C2×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#125

232 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

682 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC4×#15688865, #330×Dic47, #26107204, …
maximal normal subgroup ofC4×#15688865, #330×Dic47, #26107204, …
maximal quotient ofC2×#20241211, #26104250, #26104504, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6016, 3094);