C₂²×(C₂×#6157)⋊Q₈ #28328656

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

direct product	C₂²×(C₂×#6157)⋊Q₈
unambiguous semidirect product	D₅₃⋊(C₂×#391)

Fitting	C₂³×Q₈×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂²×#391

6174 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114132);