#26131469

order	12032
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

Fitting	C₄×#101×C₄₇ ⋊ C₂
Sylow	C₄₇ ⋊ #12632

512 conjugacy classes of subgroups; only the 123 normal subgroups are shown.

normal subgroups only

This group has 512 conjugacy classes of subgroups — too many to draw. Only its 123 normal subgroups are shown.

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

Polycyclic presentation:

2^8,47|a^2=e,b^2=f,c^2=eh,d^2=h,f^2=h,b^a=bd,c^a=ch,d^a=dh,f^a=fgh,i^a=i^46,d^b=dg,g^b=gh,f^d=fh

1058 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 84759);