Finite Group Databasebeta

← Group #11794063

Character table — Group #11794063

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121236666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424244444888812121212121212122424242424242424444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-200002222-2-2-2-2000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2220000-2-2-2-22222000000000000000000000000
χ11222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ12222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ13222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-211111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ14222222222-1222222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ15222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−30000000000000000
χ16222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-2113333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−333330000000000000000
χ17222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−33333333322-2-20000-1-1-1-11111−3−3−3−333330000000000000000
χ18222222222-1-2-2-2-222222-1-1-1-1-1-1-12211111111-1-1-1-1-1-1-1-10000-2-2-2111111-211−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333-2-22200001111-1-1-1-13333−3−3−3−30000000000000000
χ1922222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ2122222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ2222222222-122222-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000-2-2221111-1-1-1-10000
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χ2422-22-22-2-222000022-2-2-222-2-2-22-22-2000000002222-2-2-2-2−i2−i2i2i2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i200-22i2i2−i2−i20000-2-222i2i2−i2−i2i2i2−i2−i20000000000000000
χ2522-22-22-2-222000022-2-2-222-2-2-22-22-2000000002222-2-2-2-2i2i2−i2−i2000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2002-2i2i2−i2−i2000022-2-2i2i2−i2−i2i2i2−i2−i20000000000000000
χ2622-22-22-2-222000022-2-2-222-2-2-22-22-2000000002222-2-2-2-2i2i2−i2−i2000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i200-22−i2−i2i2i20000-2-222−i2−i2i2i2−i2−i2i2i20000000000000000
χ2722-22-22-2-22-1000022-2-2-2-1-1111-112-2333−3−3−33−3-1-1-1-11111−i2−i2i2i2000333−3−3−303−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2−i2−i2i2i2i2i2ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23002-2−i2−i2i2i233−3−3-1-111ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ2822-22-22-2-22-1000022-2-2-2-1-1111-112-2333−3−3−33−3-1-1-1-11111−i2−i2i2i2000333−3−3−303−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2−i2−i2i2i2i2i2ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ2300-22i2i2−i2−i2−3−33311-1-1−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ2922-22-22-2-22-1000022-2-2-2-1-1111-112-2333−3−3−33−3-1-1-1-11111i2i2−i2−i2000333−3−3−303−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2i2i2−i2−i2−i2−i2−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23002-2i2i2−i2−i233−3−3-1-111−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ3022-22-22-2-22-1000022-2-2-2-1-1111-112-2333−3−3−33−3-1-1-1-11111i2i2−i2−i2000333−3−3−303−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2i2i2−i2−i2−i2−i2−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ2300-22−i2−i2i2i2−3−33311-1-1ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ3122-22-22-2-22-1000022-2-2-2-1-1111-112-2−3−3−3333−33-1-1-1-11111−i2−i2i2i2000−3−3−33330−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2−i2−i2i2i2i2i2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7002-2−i2−i2i2i2−3−333-1-111ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ3222-22-22-2-22-1000022-2-2-2-1-1111-112-2−3−3−3333−33-1-1-1-11111−i2−i2i2i2000−3−3−33330−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2−i2−i2i2i2i2i2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ700-22i2i2−i2−i233−3−311-1-1−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ3322-22-22-2-22-1000022-2-2-2-1-1111-112-2−3−3−3333−33-1-1-1-11111i2i2−i2−i2000−3−3−33330−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2i2i2−i2−i2−i2−i2−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7002-2i2i2−i2−i2−3−333-1-111−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ3422-22-22-2-22-1000022-2-2-2-1-1111-112-2−3−3−3333−33-1-1-1-11111i2i2−i2−i2000−3−3−33330−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2i2i2−i2−i2−i2−i2−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ700-22−i2−i2i2i233−3−311-1-1ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ3522-2-2-2-2222222-2-22-22-2-22-22-22-2-2-2222-222-2-2-222-2-22-2-22000022-222-222-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i002i2i−2i−2i00000000
χ3622-2-2-2-2222222-2-22-22-2-22-22-22-2-2-2222-222-2-2-222-2-22-2-22000022-222-222-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i00−2i−2i2i2i00000000
χ3722-2-2-2-22222-2-2222-22-2-22-22-22-2-2-22-2-22-2-222222-2-22-2-220000-2-22-2-22-2-22222000000000000000000000000000000000000000000000000000000000000000000002-200
χ3822-2-2-2-22222-2-2222-22-2-22-22-22-2-2-22-2-22-2-222222-2-22-2-220000-2-22-2-22-2-2222200000000000000000000000000000000000000000000000000000000000000000000-2200
χ3922-2-2-2-222-1222-2-2-11-1112-22-22-2-21-122-222-2-2-2-1-111-111-10000-1-11-1-11-1-111110000000033−3−333−3−333−3−333−3−333−3−333−3−30000000000000000000000002i−2i00−i−iii−i3−i3i3i30000
χ4022-2-2-2-222-1222-2-2-11-1112-22-22-2-21-122-222-2-2-2-1-111-111-10000-1-11-1-11-1-111110000000033−3−333−3−333−3−333−3−333−3−333−3−3000000000000000000000000−2i2i00ii−i−ii3i3−i3−i30000
χ4122-2-2-2-222-1222-2-2-11-1112-22-22-2-21-122-222-2-2-2-1-111-111-10000-1-11-1-11-1-1111100000000−3−333−3−333−3−333−3−333−3−333−3−3330000000000000000000000002i−2i00−i−iiii3i3−i3−i30000
χ4222-2-2-2-222-1222-2-2-11-1112-22-22-2-21-122-222-2-2-2-1-111-111-10000-1-11-1-11-1-1111100000000−3−333−3−333−3−333−3−333−3−333−3−333000000000000000000000000−2i2i00ii−i−i−i3−i3i3i30000
χ432-222-2-2-22220000-2222-2-2-222-22-2-2-2000000002-22-222-2-22−22−20000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22i−2i00−i2i2−i2i22i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i20000000000000000
χ442-222-2-2-22220000-2222-2-2-222-22-2-2-2000000002-22-222-2-22−22−20000000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2−2i2i00i2−i2i2−i2−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i20000000000000000
χ452-222-2-2-22220000-2222-2-2-222-22-2-2-2000000002-22-222-2-2−22−22000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−222i−2i00i2−i2i2−i22i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i20000000000000000
χ462-222-2-2-22220000-2222-2-2-222-22-2-2-2000000002-22-222-2-2−22−22000000000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2i2i00−i2i2−i2i2−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i20000000000000000
χ472-222-2-2-222-10000-2222-211-1-11-11-2-23−333−3−3−33-11-11-1-1112−22−20003−333−3−30−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72i−2i00−i2i2−i2i2−ii−ii−i3i3−i3i3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
χ482-222-2-2-222-10000-2222-211-1-11-11-2-23−333−3−3−33-11-11-1-1112−22−20003−333−3−30−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−2i2i00i2−i2i2−i2i−ii−ii3−i3i3−i3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
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χ1274-4-4-444-44-24000022-22-2-444-4-4-44-2200000000-222-2-22-220000000000000000000000006−6−666−6−666−6−666−6−666−6−666−6−660000000000000000000000000000000000000000
χ1284-4-4-444-44-24000022-22-2-444-4-4-44-2200000000-222-2-22-22000000000000000000000000−666−6−666−6−666−6−666−6−666−6−666−60000000000000000000000000000000000000000
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χ1324-4-4-444-44-2-2000022-22-22-2-2222-2-22−232323−2323−23−23231-1-111-11-100000003−3−33−3303−300000000−666−6−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.