Finite Group Databasebeta

#103×Dic73 #22609753

order9344
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic73

Splittings

SylowC73 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D73
commutatorC4×C73C2×C42
FrattiniC22×C4C22×D73
FittingC2×#103×C73C2
socleC23×C73C2×D4
hypercenterC2×#103D73
hypocenterC73C4×#103
LCSG ▷ C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1064 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC4×#103×D73, C2×#103×Dic73, C4×#17988582, …
maximal normal subgroup ofC4×#103×D73, C2×#103×Dic73, C4×#17988582, …
maximal quotient ofQ8⋊C8×Dic73, #32976613, #32976618, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(9344, 4332);