C₂×C₄²×#10621924 #36369988

order	22144
automorphism	?
homology	Abelianization (H₁) = C₂×C₄³ · Schur multiplier (H₂) = C₂³×C₄³

Aliases

direct product	C₂×C₄²×#10621924
unambiguous semidirect product	D₁₇₃⋊C₄³

Fitting	C₂×C₄²×C₁₇₃ ⋊ C₄
derived, Sylow	C₁₇₃ ⋊ C₂×C₄³

1272 conjugacy classes of subgroups.

μ_t(G) = 5536

1504 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22144, 20935);