Finite Group Databasebeta

← Group #72219570

Character table — Group #72219570

Order 12096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size156636363378504504504672756756864864156636363378504504504672756756864864
order1324446121238877262444612126881414
χ11111111111111111111111111111
χ26-3-2-2-22111000-1-16-3-2-2-22111000-1-1
χ37-23−1+2i−1−2i10−1+i−1−i1i−i007-23−1+2i−1−2i10−1+i−1−i1i−i00
χ47-23−1−2i−1+2i10−1−i−1+i1−ii007-23−1−2i−1+2i10−1−i−1+i1−ii00
χ57-2-133-12001-1-1007-2-133-12001-1-100
χ6145-22221-1-1-10000145-22221-1-1-10000
χ72131−3+2i−3−2i-11i−i0−ii002131−3+2i−3−2i-11i−i0−ii00
χ82131−3−2i−3+2i-11−ii0i−i002131−3−2i−3+2i-11−ii0i−i00
χ92135111-1110-1-1002135111-1110-1-100
χ10270333-1000011-1-1270333-1000011-1-1
χ11281-44i−4i0-1−ii10000281-44i−4i0-1−ii10000
χ12281-4−4i4i0-1i−i10000281-4−4i4i0-1i−i10000
χ1332-40000000-1001−i721+i7232-40000000-1001−i721+i72
χ1432-40000000-1001+i721−i7232-40000000-1001+i721−i72
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ166-3-2-2-22111000-1-1-63222-2-1-1-100011
χ177-23−1+2i−1−2i10−1+i−1−i1i−i00-72-31−2i1+2i-101−i1+i-1−ii00
χ187-23−1−2i−1+2i10−1−i−1+i1−ii00-72-31+2i1−2i-101+i1−i-1i−i00
χ197-2-133-12001-1-100-721-3-31-200-11100
χ20145-22221-1-1-10000-14-52-2-2-2-11110000
χ212131−3+2i−3−2i-11i−i0−ii00-21-3-13−2i3+2i1-1−ii0i−i00
χ222131−3−2i−3+2i-11−ii0i−i00-21-3-13+2i3−2i1-1i−i0−ii00
χ232135111-1110-1-100-21-3-5-1-1-11-1-101100
χ24270333-1000011-1-1-270-3-3-310000-1-111
χ25281-44i−4i0-1−ii10000-28-14−4i4i01i−i-10000
χ26281-4−4i4i0-1i−i10000-28-144i−4i01−ii-10000
χ2732-40000000-1001−i721+i72-3240000000100−1+i72−1−i72
χ2832-40000000-1001+i721−i72-3240000000100−1−i72−1+i72

Here i is the imaginary unit (i² = −1).