C₂²×C₄⋊#13063703 #36375206

order	22336
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×C₄⋊#13063703
unambiguous semidirect product	D₃₄₉⋊(C₂×C₄⋊C₄)

Fitting	C₂²×C₄×C₃₄₉ ⋊ C₄
Sylow	C₃₄₉ ⋊ C₂²×C₄⋊C₄

418 conjugacy classes of subgroups.

μ_t(G) = 5584

1432 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22336, 1611);