Finite Group Databasebeta

← Group #72220562

Character table — Group #72220562

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size118888999918181818323232327272727272727272727272728181162162162162162162162162324324324324324324324324
order12336622224444336666661212121212121212224444444444444444
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ4111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-11111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111
χ61111111111-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ71111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ81111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ91-111-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i-11i−ii−i11-1-1i−ii−i1-11-1
χ101-111-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i-11i−ii−i11-1-1−ii−ii-11-11
χ111-111-1-111-1-1i−i−ii11-1-111-1-1ii−i−i−i−iii-11i−i−ii-1-111i−i−ii1-1-11
χ121-111-1-111-1-1i−i−ii11-1-111-1-1ii−i−i−i−iii-11i−i−ii-1-111−iii−i-111-1
χ131-111-1-111-1-1−iii−i11-1-111-1-1−i−iiiii−i−i-11−iii−i-1-111i−i−ii-111-1
χ141-111-1-111-1-1−iii−i11-1-111-1-1−i−iiiii−i−i-11−iii−i-1-111−iii−i1-1-11
χ151-111-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii-11−ii−ii11-1-1i−ii−i-11-11
χ161-111-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii-11−ii−ii11-1-1−ii−ii1-11-1
χ172222222-22-2002222222-22-200002222-2-200-2-2000000000000
χ182222222-22-200-2-222222-22-20000-2-2-2-2-2-20022000000000000
χ19222222-22-2222002222-22-2222220000-2-2-2-200000000000000
χ20222222-22-22-2-2002222-22-22-2-2-2-20000-2-22200000000000000
χ21222222-2-2-2-200002222-2-2-2-2000000002200002-22-200000000
χ22222222-2-2-2-200002222-2-2-2-200000000220000-22-2200000000
χ232-222-2-22-2-22002i−2i22-2-22-2-2200002i2i−2i−2i2-200−2i2i000000000000
χ242-222-2-22-2-2200−2i2i22-2-22-2-220000−2i−2i2i2i2-2002i−2i000000000000
χ252-222-2-2-222-22i−2i0022-2-2-222-22i2i−2i−2i00002-2−2i2i00000000000000
χ262-222-2-2-222-2−2i2i0022-2-2-222-2−2i−2i2i2i00002-22i−2i00000000000000
χ272-222-2-2-2-222000022-2-2-2-22200000000-2200002-2-2200000000
χ282-222-2-2-2-222000022-2-2-2-22200000000-220000-222-200000000
χ29888-18-108088800-1-1-1-10-10-1-1-1-1-10000000000000000000000
χ30888-18-10808-8-800-1-1-1-10-10-111110000000000000000000000
χ31888-18-10-80-80000-1-1-1-101013i−3i3i−3i0000000000000000000000
χ32888-18-10-80-80000-1-1-1-10101−3i3i−3i3i0000000000000000000000
χ3388-18-1880800088-1-1-1-1-10-100000-1-1-1-1000000000000000000
χ3488-18-18808000-8-8-1-1-1-1-10-1000001111000000000000000000
χ3588-18-18-80-800000-1-1-1-1101000003i−3i3i−3i000000000000000000
χ3688-18-18-80-800000-1-1-1-110100000−3i3i−3i3i000000000000000000
χ378-88-1-81080-88i−8i00-1-1110-101−i−iii0000000000000000000000
χ388-88-1-81080-8−8i8i00-1-1110-101ii−i−i0000000000000000000000
χ398-88-1-810-8080000-1-111010-13-3-330000000000000000000000
χ408-88-1-810-8080000-1-111010-1-333-30000000000000000000000
χ418-8-181-880-80008i−8i-1-111-10100000−i−iii000000000000000000
χ428-8-181-880-8000−8i8i-1-111-10100000ii−i−i000000000000000000
χ438-8-181-8-80800000-1-11110-1000003-3-33000000000000000000
χ448-8-181-8-80800000-1-11110-100000-333-3000000000000000000
χ453232-4-4-4-4000000005-45-4000000000000000000000000000000
χ463232-4-4-4-400000000-45-45000000000000000000000000000000
χ4732-32-4-444000000005-4-54000000000000000000000000000000
χ4832-32-4-44400000000-454-5000000000000000000000000000000

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