Finite Group Databasebeta

← Group #13140121

Character table — Group #13140121

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order1222222234444666666612121212121212123366666666666666366666661212121212121212121212121212121244444444121212121212121212121212121212124444444412121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ911-1-11-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ1011-1-11-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ1111-1-11-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ1211-1-11-11-11ii−i−i11-1-1-11-1iiii−i−i−i−i111111-1-1-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ1311-1-11-11-11−i−iii11-1-1-11-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ1411-1-11-11-11−i−iii11-1-1-11-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ1511-1-11-11-11−i−iii11-1-1-11-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ1611-1-11-11-11−i−iii11-1-1-11-1−i−i−i−iiiii111111-1-1-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ1722222222222222222222222222222-122-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000000000000000000000000002200220000-1-1-1-10000-1-1-1-1
χ1822222222222222222222222222222-122-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200-2-20000111100001111
χ192222222222222222222222222222-12-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000000000000000000022002200-1-1-1-10000-1-1-1-10000
χ202222222222222222222222222222-12-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000000000000000000000-2-200-2-2001111000011110000
χ21222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000000000000000000000002200-2-20000-1-1-1-100001111
χ22222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-122-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000000000000000-2-20022000011110000-1-1-1-1
χ23222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-111-2-211-2-2111111110000000000000000000000002200-2-200-1-1-1-1000011110000
χ24222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-111-2-211-2-211111111000000000000000000000000-2-200220011110000-1-1-1-10000
χ25222-2-22-2-2200002-22-2-2-2200000000222-22-222-222-2-2-2-2-222-2-222-2-2000000000000000000002-22-20000000022-2-222-2-2000000000000000000000000
χ26222-2-22-2-2200002-22-2-2-2200000000222-22-222-222-2-2-2-2-222-2-222-2-200000000000000000000-22-2200000000-2-222-2-222000000000000000000000000
χ2722-22-2-2-22200002-2-222-2-200000000222-22-2-2-22-2-22-2-22222-2-2-2-222000000000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ2822-22-2-2-22200002-2-222-2-200000000222-22-2-2-22-2-22-2-22222-2-2-2-22200000000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
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χ402-22-2-2-22222-22-2-222-22-2-222-2-222-2-22-1-2-2112-2-2-1112-12-1-111-1-111-12-2-112-2-11-1-111-1-111000000000000000000000000000000000000−i3i3−i3i30000−i3i3−i3i3
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χ422-22-2-2-22222-22-2-222-22-2-222-2-222-2-2-1211-2-2-1112-2-2-12-12-111-1-111-1-112-2-112-2-1-111-1-11100000000000000000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ432-22-2-2-22222-22-2-222-22-2-222-2-222-2-2-1211-2-2-1112-2-2-12-12-111-1-111-1-112-2-112-2-1-111-1-11100000000000000000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ442-22-2-2-2222-22-22-222-22-2-2-2-222-2-22222-2-2-2-22-2-22-2-222222-2-222-2-22-22-22-22-22-2-222-2-222000000000000000000000000000000000000000000000000
χ452-22-2-2-2222-22-22-222-22-2-2-2-222-2-2222-1-2-2112-2-2-1112-12-1-111-1-111-1-221-1-221-111-1-111-1-1000000000000000000000000000000000000−i3i3−i3i30000i3−i3i3−i3
χ462-22-2-2-2222-22-22-222-22-2-2-2-222-2-2222-1-2-2112-2-2-1112-12-1-111-1-111-1-221-1-221-111-1-111-1-1000000000000000000000000000000000000i3−i3i3−i30000−i3i3−i3i3
χ472-22-2-2-2222-22-22-222-22-2-2-2-222-2-222-1211-2-2-1112-2-2-12-12-111-1-111-11-1-221-1-2211-1-111-1-100000000000000000000000000000000−i3i3−i3i30000i3−i3i3−i30000
χ482-22-2-2-2222-22-22-222-22-2-2-2-222-2-222-1211-2-2-1112-2-2-12-12-111-1-111-11-1-221-1-2211-1-111-1-100000000000000000000000000000000i3−i3i3−i30000−i3i3−i3i30000
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χ834-4-4-444-4440000-4-4-4-444400000000-2-22-22-22-222-2222-2-21-11-1-11-11000000003-3-33-333-3000000000000000000000000000000000000000000000000
χ844-4-4-444-4440000-4-4-4-444400000000-2-22-22-22-222-2222-2-21-11-1-11-1100000000-333-33-3-33000000000000000000000000000000000000000000000000
χ8566666666-36666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ8666666666-36666-3-3-3-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ8766666666-3-6-6-6-6-3-3-3-3-3-3-33333333300000000000000000000000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ8866666666-3-6-6-6-6-3-3-3-3-3-3-3333333330000000000000000000000000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ89666-6-66-6-6-30000-33-3333-333−3333−3333−3333−33000000000000000000000000000000000000000000002-22-23−33−33−33−3-1-111-1-111000000000000000000000000
χ90666-6-66-6-6-30000-33-3333-333−3333−3333−3333−3300000000000000000000000000000000000000000000-22-22−33−33−33−3311-1-111-1-1000000000000000000000000
χ91666-6-66-6-6-30000-33-3333-3−3333−3333−3333−3333000000000000000000000000000000000000000000002-22-2−33−33−33−33-1-111-1-111000000000000000000000000
χ92666-6-66-6-6-30000-33-3333-3−3333−3333−3333−333300000000000000000000000000000000000000000000-22-223−33−33−33−311-1-111-1-1000000000000000000000000
χ9366-66-6-6-66-30000-333-3-333−3i33i3−3i33i33i3−3i33i3−3i3000000000000000000000000000000000000000000002i−2i−2i2i−33−333−33−3−i−iiiii−i−i000000000000000000000000
χ9466-66-6-6-66-30000-333-3-333−3i33i3−3i33i33i3−3i33i3−3i300000000000000000000000000000000000000000000−2i2i2i−2i3−33−3−33−33ii−i−i−i−iii000000000000000000000000
χ9566-66-6-6-66-30000-333-3-3333i3−3i33i3−3i3−3i33i3−3i33i3000000000000000000000000000000000000000000002i−2i−2i2i3−33−3−33−33−i−iiiii−i−i000000000000000000000000
χ9666-66-6-6-66-30000-333-3-3333i3−3i33i3−3i3−3i33i3−3i33i300000000000000000000000000000000000000000000−2i2i2i−2i−33−333−33−3ii−i−i−i−iii000000000000000000000000
χ9766-6-66-66-6-36i6i−6i−6i-3-3333-33−3i−3i−3i−3i3i3i3i3i000000000000000000000000000000000000000022-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii000000000000000000000000
χ9866-6-66-66-6-36i6i−6i−6i-3-3333-33−3i−3i−3i−3i3i3i3i3i0000000000000000000000000000000000000000-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ9966-6-66-66-6-3−6i−6i6i6i-3-3333-333i3i3i3i−3i−3i−3i−3i000000000000000000000000000000000000000022-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i000000000000000000000000
χ10066-6-66-66-6-3−6i−6i6i6i-3-3333-333i3i3i3i−3i−3i−3i−3i0000000000000000000000000000000000000000-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ1016-6666-6-6-6-3000033-3-33-3333−33−333333−33−333300000000000000000000000000000000000000002-22-20000-1-111-1-1113−33−33−33−3000000000000000000000000
χ1026-6666-6-6-6-3000033-3-33-3333−33−333333−33−33330000000000000000000000000000000000000000-22-22000011-1-111-1-1−33−33−33−33000000000000000000000000
χ1036-6666-6-6-6-3000033-3-33-33−333333−33−333333−3300000000000000000000000000000000000000002-22-20000-1-111-1-111−33−33−33−33000000000000000000000000
χ1046-6666-6-6-6-3000033-3-33-33−333333−33−333333−330000000000000000000000000000000000000000-22-22000011-1-111-1-13−33−33−33−3000000000000000000000000
χ1056-66-6-6-666-36-66-63-3-33-333-3-333-3-3330000000000000000000000000000000000000000000000003−3−333−3−33−333−3−333−3000000000000000000000000
χ1066-66-6-6-666-36-66-63-3-33-333-3-333-3-333000000000000000000000000000000000000000000000000−333−3−333−33−3−333−3−33000000000000000000000000
χ1076-66-6-6-666-3-66-663-3-33-33333-3-333-3-30000000000000000000000000000000000000000000000003−3−333−3−333−3−333−3−33000000000000000000000000
χ1086-66-6-6-666-3-66-663-3-33-33333-3-333-3-3000000000000000000000000000000000000000000000000−333−3−333−3−333−3−333−3000000000000000000000000
χ1096-6-66-666-6-36i−6i−6i6i3-33-333-3−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000000000000000003−3−33−333−3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ1106-6-66-666-6-36i−6i−6i6i3-33-333-3−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000000000000000000−333−33−3−33i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ1116-6-66-666-6-3−6i6i6i−6i3-33-333-33i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000000000000000003−3−33−333−3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ1126-6-66-666-6-3−6i6i6i−6i3-33-333-33i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000000000000000000−333−33−3−33−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ1136-6-6-666-66-300003333-3-3-3−3i33i33i3−3i33i3−3i3−3i33i300000000000000000000000000000000000000002-2-220000-1-11111-1-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ1146-6-6-666-66-300003333-3-3-3−3i33i33i3−3i33i3−3i3−3i33i30000000000000000000000000000000000000000-222-2000011-1-1-1-111i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ1156-6-6-666-66-300003333-3-3-33i3−3i3−3i33i3−3i33i33i3−3i300000000000000000000000000000000000000002-2-220000-1-11111-1-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ1166-6-6-666-66-300003333-3-3-33i3−3i3−3i33i3−3i33i33i3−3i30000000000000000000000000000000000000000-222-2000011-1-1-1-111−i3i3−i3i3i3−i3i3−i3000000000000000000000000

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