Finite Group Databasebeta

C2×#19104645 #23781613

order10432
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct productC2×#19104645

Splittings

SylowC163 ⋊ C2×#97

Subgroups

subgroupG/H
centerC22×C4C2×D163
commutatorC2×C163C2×C42
FrattiniC2×C4C22×D163
FittingC22×C8×C163C2
socle, prime radicalC23×C163C2×C4
cosocleC2×C4×C163C23
hypercenterC22×C8D163
hypocenterC163C2×#97
LCSG ▷ C2×C163 ▷ C163
UCSC1 ◁ C22×C4 ◁ C22×C8

146 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2632 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup of#35212615, #35212619, #97×Dic163, …
maximal normal subgroup of#35212615, #35212619, #97×Dic163, …
maximal quotient ofC2×#23781386, C2×#23781387, #35212825, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10432, 497);