Finite Group Databasebeta

← Group #11772754

Character table — Group #11772754

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1124444488888888888888888888888888888888836367272727272144144144
order122334662246666666666666666661212121212121212121212124448888888
χ1111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-1ii−i−i-1i−i
χ411111111111111111111111111111111111111111-1-1-1−i−iii-1−ii
χ5111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1
χ6111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-111
χ7111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1ii−i−i1−ii
χ8111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1−i−iii1i−i
χ922222222-20022-2-2-2-2-2-2-2-20000000022220000000022-20000000
χ1022222222-20022-2-2-2-2-2-2-2-200000000222200000000-2-220000000
χ114441-241-24441-21111-2-2-2-21111-2-2-2-211-2-21111-2-2-2-20000000000
χ124441-241-24-4-41-21111-2-2-2-2-1-1-1-1222211-2-2-1-1-1-122220000000000
χ134441-241-2-4001-2-1-1-1-1222233-3-3000011-2-233-3-300000000000000
χ144441-241-2-4001-2-1-1-1-12222-3-333000011-2-2-3-33300000000000000
χ154441-2-41-20001-233-3-30000−i3i3−i3i300−2i32i3-1-122−i3i3−i3i300−2i32i30000000000
χ164441-2-41-20001-233-3-30000i3−i3i3−i3002i3−2i3-1-122i3−i3i3−i3002i3−2i30000000000
χ174441-2-41-20001-2-3-3330000−i3i3i3−i3−2i32i300-1-122−i3i3i3−i3−2i32i3000000000000
χ184441-2-41-20001-2-3-3330000i3−i3−i3i32i3−2i300-1-122i3−i3−i3i32i3−2i3000000000000
χ1944444-444000440000000000000000-4-4-4-4000000000000000000
χ20444-214-21444-21-2-2-2-21111-2-2-2-21111-2-211-2-2-2-211110000000000
χ21444-214-214-4-4-21-2-2-2-211112222-1-1-1-1-2-2112222-1-1-1-10000000000
χ22444-214-21-400-212222-1-1-1-1000033-3-3-2-211000033-3-30000000000
χ23444-214-21-400-212222-1-1-1-10000-3-333-2-2110000-3-3330000000000
χ24444-21-4-21000-21000033-3-300−2i32i3−i3i3i3−i322-1-100−2i32i3−i3i3i3−i30000000000
χ25444-21-4-21000-21000033-3-3002i3−2i3i3−i3−i3i322-1-1002i3−2i3i3−i3−i3i30000000000
χ26444-21-4-21000-210000-3-333−2i32i300i3−i3i3−i322-1-1−2i32i300i3−i3i3−i30000000000
χ27444-21-4-21000-210000-3-3332i3−2i300−i3i3−i3i322-1-12i3−2i300−i3i3−i3i30000000000
χ2844-41-201-202-2-12−i3i3−i3i300−2i32i3-1-12+i32−i3−1−i3−1+i3−1+i3−1−i33-30011−2−i3−2+i31+i31−i31−i31+i30000000000
χ2944-41-201-202-2-12−i3i3i3−i3−2i32i3002−i32+i3-1-1−1−i3−1+i3−1−i3−1+i3-3300−2+i3−2−i3111+i31−i31+i31−i30000000000
χ3044-41-201-202-2-12i3−i3−i3i32i3−2i3002+i32−i3-1-1−1+i3−1−i3−1+i3−1−i3-3300−2−i3−2+i3111−i31+i31−i31+i30000000000
χ3144-41-201-202-2-12i3−i3i3−i3002i3−2i3-1-12−i32+i3−1+i3−1−i3−1−i3−1+i33-30011−2+i3−2−i31−i31+i31+i31−i30000000000
χ3244-41-201-20-22-12−i3i3−i3i300−2i32i311−2−i3−2+i31+i31−i31−i31+i33-300-1-12+i32−i3−1−i3−1+i3−1+i3−1−i30000000000
χ3344-41-201-20-22-12−i3i3i3−i3−2i32i300−2+i3−2−i3111+i31−i31+i31−i3-33002−i32+i3-1-1−1−i3−1+i3−1−i3−1+i30000000000
χ3444-41-201-20-22-12i3−i3−i3i32i3−2i300−2−i3−2+i3111−i31+i31−i31+i3-33002+i32−i3-1-1−1+i3−1−i3−1+i3−1−i30000000000
χ3544-41-201-20-22-12i3−i3i3−i3002i3−2i311−2+i3−2−i31−i31+i31+i31−i33-300-1-12−i32+i3−1+i3−1−i3−1−i3−1+i30000000000
χ3644-44404402-2-4-400000000222222220000-2-2-2-2-2-2-2-20000000000
χ3744-4440440-22-4-400000000-2-2-2-2-2-2-2-20000222222220000000000
χ3844-4-210-2102-22-100−2i32i3−i3i3i3−i3−1+i3−1−i3−1+i3−1−i3-1-12−i32+i3003-31−i31+i31−i31+i311−2+i3−2−i30000000000
χ3944-4-210-2102-22-1002i3−2i3i3−i3−i3i3−1−i3−1+i3−1−i3−1+i3-1-12+i32−i3003-31+i31−i31+i31−i311−2−i3−2+i30000000000
χ4044-4-210-2102-22-1−2i32i300i3−i3i3−i3−1−i3−1+i3−1+i3−1−i32+i32−i3-1-100-331+i31−i31−i31+i3−2−i3−2+i3110000000000
χ4144-4-210-2102-22-12i3−2i300−i3i3−i3i3−1+i3−1−i3−1−i3−1+i32−i32+i3-1-100-331−i31+i31+i31−i3−2+i3−2−i3110000000000
χ4244-4-210-210-222-100−2i32i3−i3i3i3−i31−i31+i31−i31+i311−2+i3−2−i3003-3−1+i3−1−i3−1+i3−1−i3-1-12−i32+i30000000000
χ4344-4-210-210-222-1002i3−2i3i3−i3−i3i31+i31−i31+i31−i311−2−i3−2+i3003-3−1−i3−1+i3−1−i3−1+i3-1-12+i32−i30000000000
χ4444-4-210-210-222-1−2i32i300i3−i3i3−i31+i31−i31−i31+i3−2−i3−2+i31100-33−1−i3−1+i3−1+i3−1−i32+i32−i3-1-10000000000
χ4544-4-210-210-222-12i3−2i300−i3i3−i3i31−i31+i31+i31−i3−2+i3−2−i31100-33−1+i3−1−i3−1−i3−1+i32−i32+i3-1-10000000000
χ464-40440-4-40000000000000000000000000000000002i−2i01+i−1−i1−i−1+i000
χ474-40440-4-40000000000000000000000000000000002i−2i0−1−i1+i−1+i1−i000
χ484-40440-4-4000000000000000000000000000000000−2i2i01−i−1+i1+i−1−i000
χ494-40440-4-4000000000000000000000000000000000−2i2i0−1+i1−i−1−i1+i000
χ5016-1604-80-480000000000000000000000000000000000000000000
χ5116-160-8408-40000000000000000000000000000000000000000000

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