Finite Group Databasebeta

C2×#11758202 #14519794

order1952
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productC2×#11758202

Splittings

SylowC61 ⋊ C2×Q16

Subgroups

subgroupG/H
centerC22C22⋊D61
commutator, cosocleC4×C61C23
FrattiniC4C22×D61
FittingC2×Q8×C61C2
socle, prime radicalC22×C61D4
hypercenterC2×Q8D61
hypocenterC61C2×Q16
LCSG ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q8

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1952

Conjugacy classes & character table

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

Relationships

maximal subgroup of#16839854, C4×#11758202, #16839866, …
maximal normal subgroup of#16839854, C4×#11758202, #16839866, …
maximal quotient ofC2×#14519700, C2×#14519701, C2×#14519710, …

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1952, 163);