Finite Group Databasebeta

← Group #11786887

Character table — Group #11786887

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222222233444466666666666666344446666666121212121212121212121212121212124444121212121212121212121212121212121212121212121212444444888812121212121212121212121224242424242424244412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-11-11-1111-11-1111-1-1-1-1-1-111-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11ii−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-11-111-1-1ii−i−ii−i
χ1011-1-11-11-1111-11-1111-1-1-1-1-1-111-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11ii−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−iii−i−i-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111-11-1-111−i−iii−ii
χ1111-1-11-11-1111-11-1111-1-1-1-1-1-111-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11−i−iii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii−i−iii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-11-111-1-1−i−iii−ii
χ1211-1-11-11-1111-11-1111-1-1-1-1-1-111-11-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11−i−iii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii−i−iii-1-111−i−iii−i−i−i−iiiii-1-1-1-11111-11-1-111ii−i−ii−i
χ1311-1-11-11-1111-11-1111-1-1-1-1-1-111-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111ii−i−iiiii−i−i−i−i-1-11111-1-1-1-1-1-11111i−i−i−iii11-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1-11-1-111ii−i−i−ii
χ1411-1-11-11-1111-11-1111-1-1-1-1-1-111-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111ii−i−iiiii−i−i−i−i-1-11111-1-1-1-1-1-11111i−i−i−iii-1-111ii−i−i−i−i−i−iiiii-1-1-1-111111-111-1-1−i−iiii−i
χ1511-1-11-11-1111-11-1111-1-1-1-1-1-111-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111−i−iii−i−i−i−iiiii-1-11111-1-1-1-1-1-11111−iiii−i−i11-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1-11-1-111−i−iiii−i
χ1611-1-11-11-1111-11-1111-1-1-1-1-1-111-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111−i−iii−i−i−i−iiiii-1-11111-1-1-1-1-1-11111−iiii−i−i-1-111−i−iiiiiii−i−i−i−i-1-1-1-111111-111-1-1ii−i−i−ii
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-22222222222220000-2-2-2-200000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000000022220000000000000000000000000000
χ19222222222-1222222-122-1-1-1-12-12-12-12222-1-1-1-1-1-1-122-122-1-122222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ20222222222-1222222-122-1-1-1-12-12-12-12222-1-1-1-1-1-1-122-122-1-122222222-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ21222222222-1222222-122-1-1-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-122-122-1-1-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ22222222222-1222222-122-1-1-1-12-12-12-1-2-2-2-2-1-1-1-1-1-1-122-122-1-1-2-2-2-2-2-2-2-2-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ2322222222-122222-1-12-1-12222-12-12-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2422222222-122222-1-12-1-12222-12-12-1-12222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-12-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ2522222222-122222-1-12-1-12222-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12-1-1221111111122222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ2622222222-122222-1-12-1-12222-12-12-1-1-2-2-2-2-1-1-1-1-1-1-1-1-12-1-122111111112-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ2722222222-12-2-2-2-2-1-12-1-12222-12-12-1-10000-1-1-1-1-1-1-111-211-2-2−i3−i3i3i3−i3−i3i3i3-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2822222222-12-2-2-2-2-1-12-1-12222-12-12-1-10000-1-1-1-1-1-1-111-211-2-2−i3−i3i3i3−i3−i3i3i3-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2922222222-12-2-2-2-2-1-12-1-12222-12-12-1-10000-1-1-1-1-1-1-111-211-2-2i3i3−i3−i3i3i3−i3−i3-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3022222222-12-2-2-2-2-1-12-1-12222-12-12-1-10000-1-1-1-1-1-1-111-211-2-2i3i3−i3−i3i3i3−i3−i3-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ31222-2-22-2-22200002-222-222-2-2-2-22-2-2200002-222-2-2-200000000000000002-22-222-2-222-2-200000000000000000000002−22−200000000000022−2−222−2−20000002−22−200
χ32222-2-22-2-22200002-222-222-2-2-2-22-2-2200002-222-2-2-200000000000000002-22-222-2-222-2-20000000000000000000000−22−22000000000000−2−222−2−222000000−22−2200
χ33222-2-22-2-22200002-222-222-2-2-2-22-2-2200002-222-2-2-20000000000000000-22-22-2-222-2-22200000000000000000000002−22−200000000000022−2−222−2−2000000−22−2200
χ34222-2-22-2-22200002-222-222-2-2-2-22-2-2200002-222-2-2-20000000000000000-22-22-2-222-2-2220000000000000000000000−22−22000000000000−2−222−2−2220000002−22−200
χ3522-22-2-2-222200002-22-22-2-222-2-2-2-22200002-2-2-222-200000000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000002−2−2200000000000022−2−2−2−222000000i2−i2−i2i200
χ3622-22-2-2-222200002-22-22-2-222-2-2-2-22200002-2-2-222-200000000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000−222−2000000000000−2−22222−2−2000000−i2i2i2−i200
χ3722-22-2-2-222200002-22-22-2-222-2-2-2-22200002-2-2-222-20000000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000002−2−2200000000000022−2−2−2−222000000−i2i2i2−i200
χ3822-22-2-2-222200002-22-22-2-222-2-2-2-22200002-2-2-222-20000000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000−222−2000000000000−2−22222−2−2000000i2−i2−i2i200
χ3922-2-22-22-222-22-22222-2-2-2-2-2-222-22-22000022-2-2-2-22-2-2-2222200000000-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000-2-22200000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000
χ4022-2-22-22-222-22-22222-2-2-2-2-2-222-22-22000022-2-2-2-22-2-2-2222200000000-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000-2-222000000002i−2i000000002i2i−2i−2i0000000000000000000000000000
χ4122-2-22-22-22-12-22-222-1-2-211112-1-2-1-2-122-2-2-1-11111-122-1-2-2112222-2-2-2-2-1000000000000-1-111-1-111-1-1-1-1111100000022-2-2000000000000-1-1-1-111112-2-1-111000000
χ4222-2-22-22-22-12-22-222-1-2-211112-1-2-1-2-122-2-2-1-11111-122-1-2-2112222-2-2-2-2-1000000000000-1-111-1-111-1-1-1-11111000000-2-2220000000000001111-1-1-1-1-2211-1-1000000
χ4322-2-22-22-22-12-22-222-1-2-211112-1-2-1-2-1-2-222-1-11111-122-1-2-211-2-2-2-22222-100000000000011-1-1-1-1111111-1-1-1-100000022-2-2000000000000-1-1-1-11111-2211-1-1000000
χ4422-2-22-22-22-12-22-222-1-2-211112-1-2-1-2-1-2-222-1-11111-122-1-2-211-2-2-2-22222-100000000000011-1-1-1-1111111-1-1-1-1000000-2-2220000000000001111-1-1-1-12-2-1-111000000
χ4522-2-22-22-2-122-22-2-1-1211-2-2-2-2-12121-122-2-2-1-11111-1-1-1211-2-2-1-1-1-1111122i2i−2i−2i−i−i−i−iiiii22-2-2-1-111-1-1-1-111112i−2i2i2i−2i−2i0000−i−iii−i−i−i−iiiii00000000000000000000
χ4622-2-22-22-2-122-22-2-1-1211-2-2-2-2-12121-122-2-2-1-11111-1-1-1211-2-2-1-1-1-111112−2i−2i2i2iiiii−i−i−i−i22-2-2-1-111-1-1-1-11111−2i2i−2i−2i2i2i0000ii−i−iiiii−i−i−i−i00000000000000000000
χ4722-2-22-22-2-122-22-2-1-1211-2-2-2-2-12121-1-2-222-1-11111-1-1-1211-2-21111-1-1-1-122i2i−2i−2i−i−i−i−iiiii-2-222-1-1111111-1-1-1-12i−2i−2i−2i2i2i0000−i−iiiiiii−i−i−i−i00000000000000000000
χ4822-2-22-22-2-122-22-2-1-1211-2-2-2-2-12121-1-2-222-1-11111-1-1-1211-2-21111-1-1-1-12−2i−2i2i2iiiii−i−i−i−i-2-222-1-1111111-1-1-1-1−2i2i2i2i−2i−2i0000ii−i−i−i−i−i−iiiii00000000000000000000
χ4922-2-22-22-2-12-22-22-1-1211-2-2-2-2-12121-10000-1-11111-111-2-1-122−i3−i3i3i3i3i3−i3−i3-22i2i−2i−2i−i−i−i−iiiii000011-1-1−i3−i3i3i3i3i3−i3−i3−2i2i00000000ii−i−i33−3−3−3−33300000000000000000000
χ5022-2-22-22-2-12-22-22-1-1211-2-2-2-2-12121-10000-1-11111-111-2-1-122−i3−i3i3i3i3i3−i3−i3-2−2i−2i2i2iiiii−i−i−i−i000011-1-1−i3−i3i3i3i3i3−i3−i32i−2i00000000−i−iii−3−33333−3−300000000000000000000
χ5122-2-22-22-2-12-22-22-1-1211-2-2-2-2-12121-10000-1-11111-111-2-1-122i3i3−i3−i3−i3−i3i3i3-22i2i−2i−2i−i−i−i−iiiii000011-1-1i3i3−i3−i3−i3−i3i3i3−2i2i00000000ii−i−i−3−33333−3−300000000000000000000
χ5222-2-22-22-2-12-22-22-1-1211-2-2-2-2-12121-10000-1-11111-111-2-1-122i3i3−i3−i3−i3−i3i3i3-2−2i−2i2i2iiiii−i−i−i−i000011-1-1i3i3−i3−i3−i3−i3i3i32i−2i00000000−i−iii33−3−3−3−33300000000000000000000
χ532-2222-2-2-22222-2-2-2-2-2222-22-222-2-2-222-22-2-2-22-22-222-222-22-22-22-22-22-2-20000000000002-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000
χ542-2222-2-2-22222-2-2-2-2-2222-22-222-2-2-22-22-22-2-22-22-222-222-22-2-22-22-22-22-2000000000000-22-222-22-2-22-22-22-22000000000000000000000000000000000000000000
χ552-2222-2-2-222-2-222-2-2-2222-22-222-2-2-220000-2-22-22-22-22-2-22-220000000020000000000000000-22-2200000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ562-2222-2-2-222-2-222-2-2-2222-22-222-2-2-220000-2-22-22-22-22-2-22-220000000020000000000000000-22-220000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ572-2222-2-2-22-122-2-2-2-2122-11-112-1-21-2-12-22-211-11-11-12-2-12-2-112-22-22-22-21000000000000-11-11-11-11-11-11-11-1100000000000000000000003−33−33−33−3003−33−3000000
χ582-2222-2-2-22-122-2-2-2-2122-11-112-1-21-2-12-22-211-11-11-12-2-12-2-112-22-22-22-21000000000000-11-11-11-11-11-11-11-110000000000000000000000−33−33−33−3300−33−33000000
χ592-2222-2-2-22-122-2-2-2-2122-11-112-1-21-2-1-22-2211-11-11-12-2-12-2-11-22-22-22-2210000000000001-11-1-11-111-11-11-11-100000000000000000000003−33−33−33−300−33−33000000
χ602-2222-2-2-22-122-2-2-2-2122-11-112-1-21-2-1-22-2211-11-11-12-2-12-2-11-22-22-22-2210000000000001-11-1-11-111-11-11-11-10000000000000000000000−33−33−33−33003−33−3000000
χ612-2222-2-2-2-1222-2-211-2-1-12-22-2-121-21-12-22-211-11-11-1-112-112-2-11-11-11-11-200003−33−33−33−32-22-2-11-11-11-11-11-1100000000003−33−33−3−333−3−3300000000000000000000
χ622-2222-2-2-2-1222-2-211-2-1-12-22-2-121-21-12-22-211-11-11-1-112-112-2-11-11-11-11-20000−33−33−33−332-22-2-11-11-11-11-11-110000000000−33−33−333−3−333−300000000000000000000
χ632-2222-2-2-2-1222-2-211-2-1-12-22-2-121-21-1-22-2211-11-11-1-112-112-21-11-11-11-1-200003−33−33−33−3-22-22-11-111-11-11-11-100000000003−33−3−333−3−333−300000000000000000000
χ642-2222-2-2-2-1222-2-211-2-1-12-22-2-121-21-1-22-2211-11-11-1-112-112-21-11-11-11-1-20000−33−33−33−33-22-22-11-111-11-11-11-10000000000−33−333−3−333−3−3300000000000000000000
χ652-2222-2-2-2-12-2-22211-2-1-12-22-2-121-21-1000011-11-11-11-1-21-1-22−i3i3i3−i3−i3i3i3−i3200003−33−33−33−300001-11-1−i3i3i3−i3−i3i3i3−i3002i−2i2i−2i0000−33−33−ii−ii−ii−ii00000000000000000000
χ662-2222-2-2-2-12-2-22211-2-1-12-22-2-121-21-1000011-11-11-11-1-21-1-22−i3i3i3−i3−i3i3i3−i320000−33−33−33−3300001-11-1−i3i3i3−i3−i3i3i3−i300−2i2i−2i2i00003−33−3i−ii−ii−ii−i00000000000000000000
χ672-2222-2-2-2-12-2-22211-2-1-12-22-2-121-21-1000011-11-11-11-1-21-1-22i3−i3−i3i3i3−i3−i3i3200003−33−33−33−300001-11-1i3−i3−i3i3i3−i3−i3i300−2i2i−2i2i0000−33−33i−ii−ii−ii−i00000000000000000000
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χ842-2-2-222-22-12-222-211-211-22-22-12-1-2-1-10000111-11-1-11-1-2-112-2i3−i3−i3i3−i3i3i3−i320000i3−i3i3−i3−i3i3−i3i300001-1-11i3−i3−i3i3−i3i3i3−i3002-2-220000−i3i3i3−i3-11-111-11-100000000000000000000
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χ8744444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-2-2-2-2-222222222-200000000000022221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ8844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21000011111112222222−2i3−2i32i32i3−2i3−2i32i32i320000000000000000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
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χ1044-4444-4-4-4-2-244-4-4222-2-2-22-22-2-222214-44-4-1-11-11-11-22-2-22-22-22-22-22-222000000000000-22-221-11-11-11-11-11-1000000000000000000000000000000000000000000
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χ1214-4-4-444-44-2-2-444-4222222-22-2-2-2-22-210000-1-1-11-1112-22-22-22−2i32i32i3−2i32i3−2i3−2i32i3-20000000000000000-111-1i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).