Finite Group Databasebeta

C2×C22⋊Dic373 #26045744

order11936
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×C22⋊Dic373

Splittings

SylowC373 ⋊ C2×C22⋊C4

Subgroups

subgroupG/H
centerC23C2×D373
commutatorC2×C373C22×C4
FrattiniC22C22×D373
Fitting, prime radicalC24×C373C2
socleC23×C373C22
cosocleC22×C373C23
hypercenterC24D373
hypocenterC373C2×C22⋊C4
LCSG ▷ C2×C373 ▷ C373
UCSC1 ◁ C23 ◁ C24

132 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2996 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#37559188, #37559189, C4×C22⋊Dic373, …
maximal normal subgroup of#37559188, #37559189, C4×C22⋊Dic373, …
maximal quotient ofC2×#26045699, C4×C22⋊Dic373, #37559278, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11936, 98);