Finite Group Databasebeta

← Group #11785594

Character table — Group #11785594

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121288888824242424242424244488121212122424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ91-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-111-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-111-1-11111-1-1-1-1i−ii−iii−i−i11-1-1ii−i−i1-11-1i−i
χ101-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-111-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1-1-1-1111111-1-1-1-1i−i−iiii−i−i-1-111−i−iii-11-11−ii
χ111-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-111-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-111-1-11111-1-1-1-1−ii−ii−i−iii11-1-1−i−iii1-11-1−ii
χ121-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-111-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1-1-1-1111111-1-1-1-1−iii−i−i−iii-1-111ii−i−i-11-11i−i
χ131-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1111-1-1-1-1-1-11111−iii−i−i−iii11-1-1ii−i−i-11-11−ii
χ141-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-11-1-111-1-1-1-11111−ii−ii−i−iii-1-111−i−iii1-11-1i−i
χ151-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1111-1-1-1-1-1-11111i−i−iiii−i−i11-1-1−i−iii-11-11i−i
χ161-1-111-1111-11-111-1-1-111-1-1-111-111-1-1-11-111-1-1-111-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-11-1-111-1-1-1-11111i−ii−iii−i−i-1-111ii−i−i1-11-1−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-20000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ192222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-12-122-12-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-12-122-12-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ212222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-12-122-12-1-10000-2-2-2-211-2-211-1-1-1-1111111110022220000000000-2-20000-1-1-1-11111000000
χ222222222-122222222-12-12-12-1-1-1-1-1-1-1-1-1-12-122-12-1-10000-2-2-2-211-2-211-1-1-1-11111111100-2-2-2-200000000002200001111-1-1-1-1000000
χ232222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-21-2-21-21100000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ242222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-21-2-21-21100000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i0000000000000000i−ii−i−33−33000000
χ252222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-21-2-21-21100000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ262222222-1-2-2-2-22222-12-12-12-1-1-1-1-1-1-1-1-1-1-21-2-21-21100000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ27222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-12-1-12-122222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ28222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-12-1-12-1222222-2-211-2-211-2-2-1-1-1-111111111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ29222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-12-1-12-122-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-200111100000000000000
χ30222222-122222-1-1-1-12-12-12-1-122-1-1-1-1-1-1-1-12-1-12-122-2-2-2-2-2-211-2-211-2-2-1-1-1-111111111-2-20000111111112200-1-1-1-100000000000000
χ312222-2-2222-2-22-2-2-2-22222222-2-2-2-22-2-222222-2-2-2-22000000000000002-22-20000000000000000000000000000000000000022-2-200
χ322222-2-2222-2-22-2-2-2-22222222-2-2-2-22-2-222222-2-2-2-22000000000000002-22-200000000000000000000000000000000000000-2-22200
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χ342222-2-222-222-2-2-2-2-22222222-2-2-2-22-2-222-2-2-22222-2-2-2-2-20000000000-22-2200000000220000-2-222-2-2220000000000000000000000
χ352222-2-2-12-222-211112-12-12-1-1-2-211-111-1-11-21-12-12-2222200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3-2-20000-1-111-1-1110000−i3i3−i3i300000000000000
χ362222-2-2-12-222-211112-12-12-1-1-2-211-111-1-11-21-12-12-2222200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i3-2-20000-1-111-1-1110000i3−i3i3−i300000000000000
χ372222-2-2-12-222-211112-12-12-1-1-2-211-111-1-11-21-12-12-2-2-2-2-200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i322000011-1-111-1-10000i3−i3i3−i300000000000000
χ382222-2-2-12-222-211112-12-12-1-1-2-211-111-1-11-21-12-12-2-2-2-2-200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i322000011-1-111-1-10000−i3i3−i3i300000000000000
χ392-2-222-222-22-2222-2-2-222-2-2-222-222-2-2-22-2-2-2222-2-2200000000000000-2-22200000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ402-2-222-222-22-2222-2-2-222-2-2-222-222-2-2-22-2-2-2222-2-2200000000000000-2-2220000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ412-2-222-22-12-22-222-2-212-1-21-2-1-11-1-1111-112-1-2-212-1100002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii0022-2-200000000002i−2i0000-1-111−i−iii000000
χ422-2-222-22-12-22-222-2-212-1-21-2-1-11-1-1111-112-1-2-212-1100002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00-2-2220000000000−2i2i000011-1-1ii−i−i000000
χ432-2-222-22-12-22-222-2-212-1-21-2-1-11-1-1111-112-1-2-212-110000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i0022-2-20000000000−2i2i0000-1-111ii−i−i000000
χ442-2-222-22-12-22-222-2-212-1-21-2-1-11-1-1111-112-1-2-212-110000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00-2-22200000000002i−2i000011-1-1−i−iii000000
χ452-2-222-22-1-22-2222-2-212-1-21-2-1-11-1-1111-11-2122-1-21-1000000003−300−3311-1-133−3−3−3−333002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i3000000
χ462-2-222-22-1-22-2222-2-212-1-21-2-1-11-1-1111-11-2122-1-21-1000000003−300−3311-1-133−3−3−3−33300−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i3000000
χ472-2-222-22-1-22-2222-2-212-1-21-2-1-11-1-1111-11-2122-1-21-100000000−33003−311-1-1−3−33333−3−3002i−2i−2i2i0000000000000000−iii−i−i3i3i3−i3000000
χ482-2-222-22-1-22-2222-2-212-1-21-2-1-11-1-1111-11-2122-1-21-100000000−33003−311-1-1−3−33333−3−300−2i2i2i−2i0000000000000000i−i−iii3−i3−i3i3000000
χ492-2-222-2-122-22-2-1-111-2-121-21-12-2-1-1111-11-1211-2-12-222-2-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii2-20000-1-1-1-111112i−2i00−i−iii00000000000000
χ502-2-222-2-122-22-2-1-111-2-121-21-12-2-1-1111-11-1211-2-12-222-2-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i2-20000-1-1-1-11111−2i2i00ii−i−i00000000000000
χ512-2-222-2-122-22-2-1-111-2-121-21-12-2-1-1111-11-1211-2-12-2-2-2222i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii-2200001111-1-1-1-1−2i2i00ii−i−i00000000000000
χ522-2-222-2-122-22-2-1-111-2-121-21-12-2-1-1111-11-1211-2-12-2-2-222−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i-2200001111-1-1-1-12i−2i00−i−iii00000000000000
χ532-2-22-222222-2-2-2-222-222-2-2-22-22-2-2-2222-222-222-2-2-2000000000000002-2-22000000000000000000000000000000000000002-2-2200
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χ552-2-22-2222-2-222-2-222-222-2-2-22-22-2-2-2222-2-2-22-2-222222-2-20000000000-222-200000000-22000022-2-2-2-2220000000000000000000000
χ562-2-22-2222-2-222-2-222-222-2-2-22-22-2-2-2222-2-2-22-2-2222-2-2220000000000-222-2000000002-20000-2-22222-2-20000000000000000000000
χ572-2-22-22-12-2-22211-1-1-2-121-21-1-22111-1-1-111-2-11-2-12222-2-2003−300−33001-1-113−33−3−33−33-220000-1-11111-1-100003−3−3300000000000000
χ582-2-22-22-12-2-22211-1-1-2-121-21-1-22111-1-1-111-2-11-2-12222-2-200−33003−3001-1-11−33−333−33−3-220000-1-11111-1-10000−333−300000000000000
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χ924-4-44-44-2444-4-422-2-2-4-242-42-2-44222-2-2-22-242-242-4-400000000000000-222-200000000000000000000000000000000000000000000
χ934-4-44-44-2-244-4-422-2-22-2-222212-2-1-1-1111-1-2-22-2-2222000000000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ944-4-44-44-2-244-4-422-2-22-2-222212-2-1-1-1111-1-2-22-2-2222000000000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ954-4-44-44-2-2-4-44422-2-22-2-222212-2-1-1-1111-122-222-2-2-200000023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000
χ964-4-44-44-2-2-4-44422-2-22-2-222212-2-1-1-1111-122-222-2-2-2000000−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000
χ9788-8-8008-4000000004-848-4-8-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i3−4i34i3444-4-442002i3−2i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i34i3−4i3444-4-44200−2i32i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-400000000-4-84-848-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000−4i34i34i3−4i3-44444-42002i3−2i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004i3−4i3−4i34i3-44444-4200−2i32i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000

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