Finite Group Databasebeta

← Prev (#20261804) Next (#20261806) →

C23×#11715897 #20261805

order6208
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC23×#11715897

Splittings

derived, SylowC97 ⋊ C23×C8

Subgroups

subgroupG/H
center, hypercenterC24#87604
commutator, hypocenterC97C23×C8
FrattiniC2C23×#87604
Fitting, socleC24×C97C4
LCSG ▷ C97
UCSC1 ◁ C24

338 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

448 conjugacy classes — view the full character table.

Relationships

maximal subgroup ofC2×#20261601, #27157402, C22⋊C4×#11715897, …
maximal normal subgroup ofC2×#20261601, #27157402, C22⋊C4×#11715897, …
maximal quotient ofC22×C4×#11715897, C22×C22⋊#11715897, C22×C4⋊#11715897, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(6208, 1619);