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C42×#10621924 #26012425

order11072
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C43

Aliases

direct productC42×#10621924

Splittings

FittingC42×C173 ⋊ C4
derived, SylowC173 ⋊ C43

Subgroups

subgroupG/H
center, hypercenterC42#10621924
commutator, hypocenterC173C43
FrattiniC22C22×#10621924
FittingC42×C173C4
socleC22×C173C22×C4
prime radical, cosocleC22×D173C23
LCSG ▷ C173
UCSC1 ◁ C42

258 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

752 conjugacy classes — view the full character table.

Relationships

maximal subgroup of#36368390, C4×C8×#10621924, #97×#10621924, …
maximal normal subgroup of#36368390, C4×C8×#10621924, #97×#10621924, …
maximal quotient of#95×#10621924, C4×(C2×#10621924)⋊C4, C4×C8×#10621924, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11072, 1483);