#29833931

order	15616
automorphism	?
homology	Abelianization (H₁) = C₂⁴ · Schur multiplier (H₂) = C₂⁶

Aliases

No aliases for this group.

Fitting	C₆₁×#2115 ⋊ C₂
Sylow	C₆₁ ⋊ #33533

1102 conjugacy classes of subgroups; only the 183 normal subgroups are shown.

normal subgroups only

This group has 1102 conjugacy classes of subgroups — too many to draw. Only its 183 normal subgroups are shown.

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

μ_t(G) = 1952

Polycyclic presentation:

2^8,61|d^2=h,e^2=gh,g^2=h,b^a=be,c^a=cf,e^a=eg,g^a=gh,i^a=i^60,e^b=eg,f^b=fh,g^b=gh,i^b=i^60,d^c=dh,e^c=eh

1360 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15616, 323486);