#29601773

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷×C₄

Aliases

No aliases for this group.

Fitting	C₆₁×#1446 ⋊ C₂
Sylow	C₆₁ ⋊ #13851

4614 conjugacy classes of subgroups; only the 491 normal subgroups are shown.

normal subgroups only

This group has 4614 conjugacy classes of subgroups — too many to draw. Only its 491 normal subgroups are shown.

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

μ_t(G) = 7808

Polycyclic presentation:

2^8,61|a^2=h,d^2=g,b^a=be,c^a=cf,c^b=cg,i^b=i^60,i^c=i^60,i^d=i^60

1408 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 91328);