Finite Group Databasebeta

← Group #11808450

Character table — Group #11808450

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444344444466666661212121212121212121212121212121212121212121212121212121212121212121212121212222222444444446666121212121212121266661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ17222222222-12222-1-1-1-12-1-1-12200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200002222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-12222-1-1-1-12-1-1-12200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000-2-2-2-20000000000001111111100000000
χ19222222222-12222-1-1-1-12-1-1-12200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-1111111-1-1-1-111110022220000-2-2-2-2000000000000-1-1-1-1111100000000
χ20222222222-12222-1-1-1-12-1-1-12200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000011-1-1111111-1-1-1-1111100-2-2-2-2000022220000000000001111-1-1-1-100000000
χ21222222222-12222-1-1-1-12-1-1-12200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-111111111-1-1-1-10022-2-2000022-2-2000000000000-1-111-1-11100000000
χ22222222222-12222-1-1-1-12-1-1-12200000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2000000001111-1-111111111-1-1-1-100-2-2220000-2-22200000000000011-1-111-1-100000000
χ23222222222-12222-1-1-1-12-1-1-12200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-11111-1-1-1-1111111110022-2-20000-2-222000000000000-1-11111-1-100000000
χ24222222222-12222-1-1-1-12-1-1-12200000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222200000000-1-11111-1-1-1-11111111100-2-222000022-2-200000000000011-1-1-1-11100000000
χ2522222222-12-1-1-1-12222-1222-1-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-1-1-12222-1222-1-122222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-2000022-2-200001111-1-1-1-111110000000000000000
χ2722222222-12-1-1-1-12222-1222-1-122222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-20000-2-222000011111111-1-1-1-10000000000000000
χ2822222222-12-1-1-1-12222-1222-1-122222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111220000-2-2-2-20000-1-1-1-1111111110000000000000000
χ2922222222-12-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-200001111111111110000000000000000
χ3022222222-12-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-222-2-21111-1-1-1-11111220000-2-2220000-1-1-1-11111-1-1-1-10000000000000000
χ3122222222-12-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-2-2-22211111111-1-1-1-122000022-2-20000-1-1-1-1-1-1-1-111110000000000000000
χ3222222222-12-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-11111111122-2-2-2-2-1-1-1-111111111-2-20000222200001111-1-1-1-1-1-1-1-10000000000000000
χ33222-2-2-2-222222-2-222-22-2-2-2-22-22222-2-2-2-22002i−2i0022-2-2-22-200002i2i−2i−2i00002222-2-2-2-200002i−2i000000002i2i−2i−2i000000002i−2i0000000000002i2i−2i−2i0000000000000000
χ34222-2-2-2-222222-2-222-22-2-2-2-22-22222-2-2-2-2200−2i2i0022-2-2-22-20000−2i−2i2i2i00002222-2-2-2-20000−2i2i00000000−2i−2i2i2i00000000−2i2i000000000000−2i−2i2i2i0000000000000000
χ35222-2-2-2-222222-2-222-22-2-2-2-22-2-2-2-2-222222002i−2i0022-2-2-22-200002i2i−2i−2i0000-2-2-2-2222200002i−2i000000002i2i−2i−2i00000000−2i2i000000000000−2i−2i2i2i0000000000000000
χ36222-2-2-2-222222-2-222-22-2-2-2-22-2-2-2-2-22222200−2i2i0022-2-2-22-20000−2i−2i2i2i0000-2-2-2-222220000−2i2i00000000−2i−2i2i2i000000002i−2i0000000000002i2i−2i−2i0000000000000000
χ37222-2-2-2-22-12-1-11122-221-2-2-2-112222-2-2-2-2-1002i−2i00-1-1111-1133−3−3−i−iii−i3−i3i3i3-1-1-1-1111100002i−2i−i3−i3i3i333−3−3−i−iii000000002i−2i0000−i3−i3i3i333−3−3−i−iii0000000000000000
χ38222-2-2-2-22-12-1-11122-221-2-2-2-112222-2-2-2-2-1002i−2i00-1-1111-11−3−333−i−iiii3i3−i3−i3-1-1-1-1111100002i−2ii3i3−i3−i3−3−333−i−iii000000002i−2i0000i3i3−i3−i3−3−333−i−iii0000000000000000
χ39222-2-2-2-22-12-1-11122-221-2-2-2-112222-2-2-2-2-100−2i2i00-1-1111-1133−3−3ii−i−ii3i3−i3−i3-1-1-1-111110000−2i2ii3i3−i3−i333−3−3ii−i−i00000000−2i2i0000i3i3−i3−i333−3−3ii−i−i0000000000000000
χ40222-2-2-2-22-12-1-11122-221-2-2-2-112222-2-2-2-2-100−2i2i00-1-1111-11−3−333ii−i−i−i3−i3i3i3-1-1-1-111110000−2i2i−i3−i3i3i3−3−333ii−i−i00000000−2i2i0000−i3−i3i3i3−3−333ii−i−i0000000000000000
χ41222-2-2-2-22-12-1-11122-221-2-2-2-11-2-2-2-22222-1002i−2i00-1-1111-1133−3−3−i−iii−i3−i3i3i31111-1-1-1-100002i−2i−i3−i3i3i333−3−3−i−iii00000000−2i2i0000i3i3−i3−i3−3−333ii−i−i0000000000000000
χ42222-2-2-2-22-12-1-11122-221-2-2-2-11-2-2-2-22222-1002i−2i00-1-1111-11−3−333−i−iiii3i3−i3−i31111-1-1-1-100002i−2ii3i3−i3−i3−3−333−i−iii00000000−2i2i0000−i3−i3i3i333−3−3ii−i−i0000000000000000
χ43222-2-2-2-22-12-1-11122-221-2-2-2-11-2-2-2-22222-100−2i2i00-1-1111-1133−3−3ii−i−ii3i3−i3−i31111-1-1-1-10000−2i2ii3i3−i3−i333−3−3ii−i−i000000002i−2i0000−i3−i3i3i3−3−333−i−iii0000000000000000
χ44222-2-2-2-22-12-1-11122-221-2-2-2-11-2-2-2-22222-100−2i2i00-1-1111-11−3−333ii−i−i−i3−i3i3i31111-1-1-1-10000−2i2i−i3−i3i3i3−3−333ii−i−i000000002i−2i0000i3i3−i3−i333−3−3−i−iii0000000000000000
χ4522-22-22-2-2222-22-22-2-2-2222-2-2-22i2i−2i−2i2i2i−2i−2i20000002-22-2-2-220000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000002-200000000000000000000002-200000000002i−2i
χ4622-22-22-2-2222-22-22-2-2-2222-2-2-22i2i−2i−2i2i2i−2i−2i20000002-22-2-2-220000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000-220000000000000000000000-220000000000−2i2i
χ4722-22-22-2-2222-22-22-2-2-2222-2-2-2−2i−2i2i2i−2i−2i2i2i20000002-22-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000002-200000000000000000000002-20000000000−2i2i
χ4822-22-22-2-2222-22-22-2-2-2222-2-2-2−2i−2i2i2i−2i−2i2i2i20000002-22-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000-220000000000000000000000-2200000000002i−2i
χ4922-2-22-22-2222-2-222-22-2-2-2-22-222i2i−2i−2i−2i−2i2i2i20000002-2-222-2-20000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000002i−2i0000000000000000002i−2i002-20000
χ5022-2-22-22-2222-2-222-22-2-2-2-22-222i2i−2i−2i−2i−2i2i2i20000002-2-222-2-20000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000−2i2i000000000000000000−2i2i00-220000
χ5122-2-22-22-2222-2-222-22-2-2-2-22-22−2i−2i2i2i2i2i−2i−2i20000002-2-222-2-2000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000002i−2i0000000000000000002i−2i00-220000
χ5222-2-22-22-2222-2-222-22-2-2-2-22-22−2i−2i2i2i2i2i−2i−2i20000002-2-222-2-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000−2i2i000000000000000000−2i2i002-20000
χ532-222-2-22-222-22-22-22-2-222-22-2-22i−2i2i−2i2i−2i2i−2i2000000-22-22-2-220000000000002i−2i2i−2i2i−2i2i−2i000000000000000000002-200000000000000000000002-200000000002i−2i00
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χ552-222-2-22-222-22-22-22-2-222-22-2-2−2i2i−2i2i−2i2i−2i2i2000000-22-22-2-22000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000002-200000000000000000000002-20000000000−2i2i00
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χ612-2-222-2-2222-2-2-2-2-2-22222-2-2222-2-222-2-2222-20000-2-2-2-22222-22-2000000002-2-222-2-22002-20000002-22-200000000002-200000000002-22-200000000000000000000
χ622-2-222-2-2222-2-2-2-2-2-22222-2-2222-2-222-2-222-220000-2-2-2-2222-22-22000000002-2-222-2-2200-22000000-22-220000000000-220000000000-22-2200000000000000000000
χ632-2-222-2-2222-2-2-2-2-2-22222-2-222-222-2-222-222-20000-2-2-2-22222-22-200000000-222-2-222-2002-20000002-22-20000000000-220000000000-22-2200000000000000000000
χ642-2-222-2-2222-2-2-2-2-2-22222-2-222-222-2-222-22-220000-2-2-2-2222-22-2200000000-222-2-222-200-22000000-22-2200000000002-200000000002-22-200000000000000000000
χ652-2-222-2-22-121111-2-222-12-2-2-1-12-2-222-2-22-12-200001111-1-1-1-11-11−i3i3−i3i3−i3i3−i3i3-111-1-111-1002-200−i3i3−i3i3-11-11−i3i3−i3i30000002-2000000−i3i3−i3i3-11-11−i3i3−i3i30000000000000000
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χ672-2-222-2-22-121111-2-222-12-2-2-1-12-2-222-2-22-1-2200001111-1-1-11-11-1−i3i3−i3i3i3−i3i3−i3-111-1-111-100-2200i3−i3i3−i31-11-1−i3i3−i3i3000000-22000000i3−i3i3−i31-11-1−i3i3−i3i30000000000000000
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χ822-2-2-2-2222-1211-1-1-2-2-221-222-11-222-22-2-22-100002-211-1-11-11−333−3−333−3-111-11-1-11-111-12-20000-111-1−333−3−333−3-220000000000001-1-113−3−333−3−330000000000000000
χ832-2-2-2-2222-1211-1-1-2-2-221-222-11-222-22-2-22-10000-2211-1-11-113−3−33−333−31-1-111-1-11-111-1-2200001-1-113−3−33−333−32-2000000000000-111-1−333−33−3−330000000000000000
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χ1144-4-444-4-44-2-2222222-2-2-2-222-2-20000000014-40000-1-1-1-1111-22-222i3−2i32i3−2i32i3−2i32i3−2i30000000000-2200−i3i3−i3i31-11-1−i3i3−i3i3000000000000000000000000000000000000000000
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χ1204-4-4-4-4444-2-222-2-2222-222-2-2-2200000000100004-4-1-111-11-1−232323−23−232323−23-222-200000000-2200001-1-113−3−333−3−33000000000000000000000000000000000000000000
χ1214-4-4-4-4444-2-222-2-2222-222-2-2-220000000010000-44-1-111-11-123−23−2323−232323−232-2-22000000002-20000-111-1−333−33−3−33000000000000000000000000000000000000000000
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χ12488-8-88-88-8-4-4-444-4-44-44444-44-40000000020000002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-88-888-8-8-4-44-4-444-4-4444-444-4000000002000000-222-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000

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