C₂×Q₈×C₂²⋊#6157 #28328735

order	13568
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂×Q₈×C₂²⋊#6157
unambiguous semidirect product	D₅₃⋊(Q₈×C₂²⋊C₄)

Fitting	C₂³×Q₈×C₅₃ ⋊ C₄
Sylow	C₅₃ ⋊ C₂×Q₈×C₂²⋊C₄

5414 conjugacy classes of subgroups.

μ_t(G) = 3392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13568, 1114211);