Finite Group Databasebeta

← Group #11812885

Character table — Group #11812885

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order12222222222233666666666666663666666666666666444444666612121212121212121212121212121212444444444412121212121212121212121212121212246612121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ911111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-11111-1-1
χ1011111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-111
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-1-111
χ1411111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-11111-1-1
χ1511111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-111-1-1
χ1611111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-111-1-111
χ172222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10022000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ182222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-2-211-2-211111111110022000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ192222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-20000001111111100000000-2-21111000000000000
χ202222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-2-211-2-2111111111100-2-2000000111111110000000022-1-1-1-1000000000000
χ21222222222222-12-1-1-1222-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1000022-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1220022222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ22222222222222-12-1-1-1222-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1000022-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-2-2-2-2-20000000011111111000000111100000000
χ23222222222222-12-1-1-1222-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-10000-2-2-1-1-1-111-2-211-2-211111111220022-2-2-2-20000000011111111000000-1-1-1-100000000
χ24222222222222-12-1-1-1222-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-10000-2-2-1-1-1-111-2-211-2-211111111-2-200-2-2222200000000-1-1-1-1-1-1-1-1000000111100000000
χ2522222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-2-2-21111-1-1-1-1-1-1-122222-2111122-1-1-2-211-1-1-1-1111100-2-2000000-1-1-1-11111000000002-2-1-111000000000000
χ2622222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-2-2-21111-1-1-1-1-1-1-12222-221111-2-21122-1-11111-1-1-1-100-2-2000000-1-1-1-1111100000000-2211-1-1000000000000
χ2722222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-22-2111122-1-1-2-211-1-1-1-1111100220000001111-1-1-1-100000000-2211-1-1000000000000
χ2822222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-2-221111-2-21122-1-11111-1-1-1-100220000001111-1-1-1-1000000002-2-1-111000000000000
χ2922222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-100002-21111-1-12211-2-2-1-1-1-111112200-2-222-2-200000000-1-1-1-11111000000-1-11100000000
χ3022222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-100002-21111-1-12211-2-2-1-1-1-11111-2-20022-2-222000000001111-1-1-1-100000011-1-100000000
χ3122222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-10000-22111111-2-2-1-1221111-1-1-1-12200-2-2-2-222000000001111-1-1-1-1000000-1-11100000000
χ3222222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-10000-22111111-2-2-1-1221111-1-1-1-1-2-2002222-2-200000000-1-1-1-1111100000011-1-100000000
χ3322-2-2-22-2222-2-22222222-2-2-2-2-2-22-2-2222-2-222-2-2222-2-2-2-22i2i−2i−2i0022-2-20000000000000000002i−2i0000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ3422-2-2-22-2222-2-22222222-2-2-2-2-2-22-2-2222-2-222-2-2222-2-2-2-2−2i−2i2i2i0022-2-2000000000000000000−2i2i000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ3522-2-2-22-2222-2-22-1222-1-11-2-211-2-11-2-122-2-2-1-111-1-1-111112i2i−2i−2i00-1-111003−3003−333−3−333−3−3002i−2i000000−i−iii−i−iii0000000000−i3i3−i3i3000000000000
χ3622-2-2-22-2222-2-22-1222-1-11-2-211-2-11-2-122-2-2-1-111-1-1-111112i2i−2i−2i00-1-11100−3300−33−3−333−3−333002i−2i000000−i−iii−i−iii0000000000i3−i3i3−i3000000000000
χ3722-2-2-22-2222-2-22-1222-1-11-2-211-2-11-2-122-2-2-1-111-1-1-11111−2i−2i2i2i00-1-111003−3003−333−3−333−3−300−2i2i000000ii−i−iii−i−i0000000000i3−i3i3−i3000000000000
χ3822-2-2-22-2222-2-22-1222-1-11-2-211-2-11-2-122-2-2-1-111-1-1-11111−2i−2i2i2i00-1-11100−3300−33−3−333−3−33300−2i2i000000ii−i−iii−i−i0000000000−i3i3−i3i3000000000000
χ3922-2-2-22-22-2-2222222222-2-2-2-2-2-22-2-22-2-222-2-222222-2-2-2-22i2i−2i−2i00-2-222000000000000000000−2i2i0000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ4022-2-2-22-22-2-2222222222-2-2-2-2-2-22-2-22-2-222-2-222222-2-2-2-2−2i−2i2i2i00-2-2220000000000000000002i−2i000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ4122-2-2-22-22-2-2222-1222-1-11-2-211-2-11-2-1-2-22211-1-1-1-1-111112i2i−2i−2i0011-1-1003−300−3333−3−3−3−33300−2i2i000000−i−iiiii−i−i0000000000−i3i3i3−i3000000000000
χ4222-2-2-22-22-2-2222-1222-1-11-2-211-2-11-2-1-2-22211-1-1-1-1-111112i2i−2i−2i0011-1-100−33003−3−3−33333−3−300−2i2i000000−i−iiiii−i−i0000000000i3−i3−i3i3000000000000
χ4322-2-2-22-22-2-2222-1222-1-11-2-211-2-11-2-1-2-22211-1-1-1-1-11111−2i−2i2i2i0011-1-1003−300−3333−3−3−3−333002i−2i000000ii−i−i−i−iii0000000000i3−i3−i3i3000000000000
χ4422-2-2-22-22-2-2222-1222-1-11-2-211-2-11-2-1-2-22211-1-1-1-1-11111−2i−2i2i2i0011-1-100−33003−3−3−33333−3−3002i−2i000000ii−i−i−i−iii0000000000−i3i3i3−i3000000000000
χ452-222-22-2-22-22-2222-2-2-2-2-22222-22-2-222-22-22-22-22-2-2-2-2220000002-22-200000000000000002i−2i002i−2i000000000000000000000000002i−2i2i−2i00000000
χ462-222-22-2-22-22-2222-2-2-2-2-22222-22-2-222-22-22-22-22-2-2-2-2220000002-22-20000000000000000−2i2i00−2i2i00000000000000000000000000−2i2i−2i2i00000000
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χ482-222-22-2-22-22-2-12-111-2-2-2-1-12212-21-1-11-112-22-2-11111-1-1000000-11-11−i3i300−i3i300−i3i3−i3i3−i3i3−i3i3−2i2i00−2i2i000000000000−3−333−3−333000000i−ii−i00000000
χ492-222-22-2-22-22-2-12-111-2-2-2-1-12212-21-1-11-112-22-2-11111-1-1000000-11-11i3−i300i3−i300i3−i3i3−i3i3−i3i3−i32i−2i002i−2i000000000000−3−333−3−333000000−ii−ii00000000
χ502-222-22-2-22-22-2-12-111-2-2-2-1-12212-21-1-11-112-22-2-11111-1-1000000-11-11i3−i300i3−i300i3−i3i3−i3i3−i3i3−i3−2i2i00−2i2i00000000000033−3−333−3−3000000i−ii−i00000000
χ512-222-22-2-2-22-22222-2-2-2-2-22222-22-2-22-22-22-22-222-2-2-2-222000000-22-2200000000000000002i−2i00−2i2i000000000000000000000000002i−2i−2i2i00000000
χ522-222-22-2-2-22-22222-2-2-2-2-22222-22-2-22-22-22-22-222-2-2-2-222000000-22-220000000000000000−2i2i002i−2i00000000000000000000000000−2i2i2i−2i00000000
χ532-222-22-2-2-22-22-12-111-2-2-2-1-12212-21-11-11-1-22-22-11111-1-10000001-11-1−i3i300i3−i300−i3i3−i3i3i3−i3i3−i32i−2i00−2i2i00000000000033−3−3−3−333000000−iii−i00000000
χ542-222-22-2-2-22-22-12-111-2-2-2-1-12212-21-11-11-1-22-22-11111-1-10000001-11-1−i3i300i3−i300−i3i3−i3i3i3−i3i3−i3−2i2i002i−2i000000000000−3−33333−3−3000000i−i−ii00000000
χ552-222-22-2-2-22-22-12-111-2-2-2-1-12212-21-11-11-1-22-22-11111-1-10000001-11-1i3−i300−i3i300i3−i3i3−i3−i3i3−i3i32i−2i00−2i2i000000000000−3−33333−3−3000000−iii−i00000000
χ562-222-22-2-2-22-22-12-111-2-2-2-1-12212-21-11-11-1-22-22-11111-1-10000001-11-1i3−i300−i3i300i3−i3i3−i3−i3i3−i3i3−2i2i002i−2i00000000000033−3−3−3−333000000i−i−ii00000000
χ572-22-22-2-22000022-22-22-222-22-22-2-2-2200000000-22-22-22-22i−2i2i−2i00000000000000000000000000002i−2i002i−2i2i−2i00002i−2i2i−2i0000000000000000002-200
χ582-22-22-2-22000022-22-22-222-22-22-2-2-2200000000-22-22-22-22i−2i2i−2i0000000000000000000000000000−2i2i002i−2i2i−2i0000−2i2i−2i2i000000000000000000-2200
χ592-22-22-2-22000022-22-22-222-22-22-2-2-2200000000-22-22-22-2−2i2i−2i2i00000000000000000000000000002i−2i00−2i2i−2i2i00002i−2i2i−2i000000000000000000-2200
χ602-22-22-2-22000022-22-22-222-22-22-2-2-2200000000-22-22-22-2−2i2i−2i2i0000000000000000000000000000−2i2i00−2i2i−2i2i0000−2i2i−2i2i0000000000000000002-200
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χ8644-4-4-44-44-4-444-24-2-2-244-422-4-424-42-222-2-2-4-444-2-2-2222200000022-2-2000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-44-44-4-444-2-2-2-2-2-2-2222222-222122-2-222-2-2111-1-1-1-1000000-1-1110023−2300−2323−3−33333−3−300000000000000000000000000000000000000000000
χ8844-4-4-44-44-4-444-2-2-2-2-2-2-2222222-222122-2-222-2-2111-1-1-1-1000000-1-11100−23230023−2333−3−3−3−33300000000000000000000000000000000000000000000
χ894-444-44-4-44-44-44-24-4-422244-2-2-4-22-4-24-44-4-22-22-22222-2-2000000-22-22000000000000000000000000000000000000000000000000000000000000
χ904-444-44-4-44-44-4-2-2-222222-2-2-2-22-2221-22-22-22-221-1-1-1-1110000001-11-1−2i32i300−2i32i300i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000000000
χ914-444-44-4-44-44-4-2-2-222222-2-2-2-22-2221-22-22-22-221-1-1-1-1110000001-11-12i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000000000
χ924-444-44-4-4-44-444-24-4-422244-2-2-4-22-4-2-44-442-22-2-22222-2-20000002-22-2000000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-4-44-44-2-2-222222-2-2-2-22-22212-22-22-22-21-1-1-1-111000000-11-11−2i32i3002i3−2i300i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000
χ944-444-44-4-4-44-44-2-2-222222-2-2-2-22-22212-22-22-22-21-1-1-1-111000000-11-112i3−2i300−2i32i300−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000
χ954-44-44-4-4400004-2-44-4-22-24-4-22422-4-2000000002-22-22-224i−4i4i−4i00000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ964-44-44-4-4400004-2-44-4-22-24-4-22422-4-2000000002-22-22-22−4i4i−4i4i000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ974-44-44-4-440000-242-224-44-224-4-2-4-42-2000000002-22-22-22000000000000000000000000000000004i−4i0000000000−2i2i−2i2i0000000000000000000000
χ984-44-44-4-440000-242-224-44-224-4-2-4-42-2000000002-22-22-2200000000000000000000000000000000−4i4i00000000002i−2i2i−2i0000000000000000000000
χ994-4-44-4-44400004-2-44-4-222-442-2-42-24-2000000002-222-22-24-4-4400000000000000000000000000000000-222-2000000000000000000000000000000
χ1004-4-44-4-44400004-2-44-4-222-442-2-42-24-2000000002-222-22-2-444-4000000000000000000000000000000002-2-22000000000000000000000000000000
χ1014-4-44-4-4440000-242-224-4-42-2-442-44-2-2000000002-222-22-200000000000000000000000000000000004-4000000000000-22-22000000000000000000
χ1024-4-44-4-4440000-242-224-4-42-2-442-44-2-2000000002-222-22-20000000000000000000000000000000000-440000000000002-22-2000000000000000000
χ1034-4-4-4444-44-4-444-24-4-422-2-4-4224-2-24-24-4-44-222-2-222-2-222000000-222-2000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-4444-44-4-44-24-222-4-4422-4-4-244-2-2-222-24-4-44-222-2-222000000-222-2000000000000000000000000000000000000000000000000000000000000
χ1054-4-4-4444-44-4-44-2-2-22222-22222-2-2-2-21-222-2-222-21-1-111-1-10000001-1-11000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1064-4-4-4444-44-4-44-2-2-22222-22222-2-2-2-21-222-2-222-21-1-111-1-10000001-1-1100000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1074-4-4-4444-4-444-44-24-4-422-2-4-4224-2-24-2-444-42-2-22-222-2-2220000002-2-22000000000000000000000000000000000000000000000000000000000000
χ1084-4-4-4444-4-444-4-24-222-4-4422-4-4-244-2-22-2-22-444-4-222-2-2220000002-2-22000000000000000000000000000000000000000000000000000000000000
χ1094-4-4-4444-4-444-4-2-2-22222-22222-2-2-2-212-2-222-2-221-1-111-1-1000000-111-1000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1104-4-4-4444-4-444-4-2-2-22222-22222-2-2-2-212-2-222-2-221-1-111-1-1000000-111-100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ111888-8-8-88-80000-4-444-44-44-44-4444-4-4200000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-80000-4-444-44-4-44-44-4-4444200000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-8-880000-4-44-44-44-4-44-44-4444200000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-8880000-4-44-44-4444-44-444-4-4200000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000

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