C₂²×D₄×#11924078 #49175759

order	37504
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂²×D₄×#11924078
unambiguous semidirect product	D₂₉₃⋊(C₂×C₄×D₄)

Fitting	C₂²×D₄×C₂₉₃ ⋊ C₄
Sylow	C₂₉₃ ⋊ C₂²×C₄×D₄

2528 conjugacy classes of subgroups; only the 850 normal subgroups are shown.

normal subgroups only

This group has 2528 conjugacy classes of subgroups — too many to draw. Only its 850 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 4688

1540 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37504, 21484);