Finite Group Databasebeta

← Group #11788788

Character table — Group #11788788

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222244444444444444444444444444444444888888888888888812121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222233444466661212344446666666612121212121212121212121212121212121212661212121212121212121212121212222244446666666612121212121212122466881212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1
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χ1011-1-111111-1-111-1-1-1-11ii−i−i1-11-1-11-1-111-1-111-1iiii−i−i−i−i11-1-11-11-1iiiiii−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii-11−ii
χ1111-1-111111-1-111-1-1-1-11ii−i−i1-11-1-11-1-111-1-111-1iiii−i−i−i−i11-1-11-11-1iiiiii−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-111i−i-1-1ii−i−i-11−ii
χ1211-1-111111-1-111-1-1-1-11ii−i−i1-11-1-11-1-111-1-111-1iiii−i−i−i−i11-1-11-11-1iiiiii−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11-1-1−ii11−i−iii1-1i−i
χ1311-1-111111-1-111-1-1-1-11−i−iii1-11-1-11-1-111-1-111-1−i−i−i−iiiii11-1-11-11-1−i−i−i−i−i−iiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii1-1−ii
χ1411-1-111111-1-111-1-1-1-11−i−iii1-11-1-11-1-111-1-111-1−i−i−i−iiiii11-1-11-11-1−i−i−i−i−i−iiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i-11i−i
χ1511-1-111111-1-111-1-1-1-11−i−iii1-11-1-11-1-111-1-111-1−i−i−i−iiiii11-1-11-11-1−i−i−i−i−i−iiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-111−ii-1-1−i−iii-11i−i
χ1611-1-111111-1-111-1-1-1-11−i−iii1-11-1-11-1-111-1-111-1−i−i−i−iiiii11-1-11-11-1−i−i−i−i−i−iiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11-1-1i−i11ii−i−i1-1−ii
χ172222222-2-2-2-22222-2-22000022222222-2-2-2-2-2-2-200000000-2-2-2-222-2-20000000000002-22-2000022-2-222-2-2000000000000000000000000
χ182222222-2-2-2-22222-2-22000022222222-2-2-2-2-2-2-200000000-2-2-2-222-2-2000000000000-22-220000-2-222-2-222000000000000000000000000
χ19222222-12222-12-1-122-1222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222-12222-12-1-122-1222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222-12222-12-1-122-1-2-2-2-222-1-12-1-1-1-1-1-1-122211111111-1-1-1-1-1-1-1-1-2-21111-2-211112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222-12222-12-1-122-1-2-2-2-222-1-12-1-1-1-1-1-1-122211111111-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ23222222-1-2-2-2-2-12-1-1-2-2-1000022-1-12-1-1-11111-2-2-2−i3−i3i3i3−i3−i3i3i31111-1-11100−i3−i3i3i300−i3−i3i3i32-22-20000-1-111-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
χ24222222-1-2-2-2-2-12-1-1-2-2-1000022-1-12-1-1-11111-2-2-2−i3−i3i3i3−i3−i3i3i31111-1-11100−i3−i3i3i300−i3−i3i3i3-22-22000011-1-111-1-1i3i3−i3−i3i3i3−i3−i30000000000000000
χ25222222-1-2-2-2-2-12-1-1-2-2-1000022-1-12-1-1-11111-2-2-2i3i3−i3−i3i3i3−i3−i31111-1-11100i3i3−i3−i300i3i3−i3−i32-22-20000-1-111-1-111i3i3−i3−i3i3i3−i3−i30000000000000000
χ26222222-1-2-2-2-2-12-1-1-2-2-1000022-1-12-1-1-11111-2-2-2i3i3−i3−i3i3i3−i3−i31111-1-11100i3i3−i3−i300i3i3−i3−i3-22-22000011-1-111-1-1−i3−i3i3i3−i3−i3i3i30000000000000000
χ2722222-1222222-122-1-1-12222-1-122-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-122-1-1-1-1-1-10000
χ2822222-1222222-122-1-1-12222-1-122-1-1-1-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-211-2-21111110000
χ2922222-1222222-122-1-1-1-2-2-2-2-1-122-1-1-1-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000000000000022-1-1-2-2-1-111110000
χ3022222-1222222-122-1-1-1-2-2-2-2-1-122-1-1-1-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2112211-1-1-1-10000
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χ36222-2-22-12-22-2-121122-10000-221-1-2-111-11-112-2-23−3−333−3−3311-1-11-1-11003−3−33003−3−330000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i0000000000000000
χ37222-2-22-12-22-2-121122-10000-221-1-2-111-11-112-2-2−333−3−333−311-1-11-1-1100−333−300−333−300002i−2i2i−2ii3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii0000000000000000
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χ41222-2-22-1-22-22-1211-2-2-1−2i2i−2i2i-221-1-2-1111-11-1-222i−ii−ii−ii−i-1-1111-11-1−2i2ii−ii−i−2i2ii−ii−i00000000−i3i3i3−i3−i3i3i3−i3−333−3−333−30000000000000000
χ42222-2-22-1-22-22-1211-2-2-1−2i2i−2i2i-221-1-2-1111-11-1-222i−ii−ii−ii−i-1-1111-11-1−2i2ii−ii−i−2i2ii−ii−i00000000i3−i3−i3i3i3−i3−i3i33−3−333−3−330000000000000000
χ43222-2-2-12-22-222-1-2-211-12i−2i2i−2i1-1-221-111-22-221-1-12i−2i2i−2i2i−2i2i−2i-1-1111-11-1−ii−ii−ii−ii−ii−ii00000000000000000000000000−i3i300−i3i33−33−30000
χ44222-2-2-12-22-222-1-2-211-12i−2i2i−2i1-1-221-111-22-221-1-12i−2i2i−2i2i−2i2i−2i-1-1111-11-1−ii−ii−ii−ii−ii−ii00000000000000000000000000i3−i300i3−i3−33−330000
χ45222-2-2-12-22-222-1-2-211-1−2i2i−2i2i1-1-221-111-22-221-1-1−2i2i−2i2i−2i2i−2i2i-1-1111-11-1i−ii−ii−ii−ii−ii−i00000000000000000000000000−i3i300−i3i3−33−330000
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χ4722-22-2222-2-222222-2-220000-2-2-2-222222-2-222-2200000000-2-2-2-2-2-22200000000000000002-2-22000000002-22-2-22-220000000000000000
χ4822-22-2222-2-222222-2-220000-2-2-2-222222-2-222-2200000000-2-2-2-2-2-2220000000000000000-222-200000000-22-222-22-20000000000000000
χ4922-22-222-222-222222222-2-22-2-2-2-22222-222-2-22-22-22-2-22-222222-2-2-2-22-22-22-2-22-22-220000000000000000000000000000000000000000
χ5022-22-222-222-22222222-222-2-2-2-2-22222-222-2-22-2-22-222-22-22222-2-2-2-2-22-22-222-22-22-20000000000000000000000000000000000000000
χ5122-22-22-12-2-22-12-1-1-2-2-10000-2-2112-1-1-1-111-12-22−i3i3i3−i3i3−i3−i3i3111111-1-100−i3i3i3−i300i3−i3−i3i300002-2-22−i3i3−i3i3i3−i3i3−i3-11-111-11-10000000000000000
χ5222-22-22-12-2-22-12-1-1-2-2-10000-2-2112-1-1-1-111-12-22−i3i3i3−i3i3−i3−i3i3111111-1-100−i3i3i3−i300i3−i3−i3i30000-222-2i3−i3i3−i3−i3i3−i3i31-11-1-11-110000000000000000
χ5322-22-22-12-2-22-12-1-1-2-2-10000-2-2112-1-1-1-111-12-22i3−i3−i3i3−i3i3i3−i3111111-1-100i3−i3−i3i300−i3i3i3−i300002-2-22i3−i3i3−i3−i3i3−i3i3-11-111-11-10000000000000000
χ5422-22-22-12-2-22-12-1-1-2-2-10000-2-2112-1-1-1-111-12-22i3−i3−i3i3−i3i3i3−i3111111-1-100i3−i3−i3i300−i3i3i3−i30000-222-2−i3i3−i3i3i3−i3i3−i31-11-1-11-110000000000000000
χ5522-22-22-1-222-2-12-1-122-12-2-22-2-2112-1-1-11-1-11-22-2-11-111-11-1-1-1-1-111112-2-11-11-221-11-100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ5622-22-22-1-222-2-12-1-122-12-2-22-2-2112-1-1-11-1-11-22-2-11-111-11-1-1-1-1-111112-2-11-11-221-11-100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ5722-22-22-1-222-2-12-1-122-1-222-2-2-2112-1-1-11-1-11-22-21-11-1-11-11-1-1-1-11111-221-11-12-2-11-1100000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000000000
χ5822-22-22-1-222-2-12-1-122-1-222-2-2-2112-1-1-11-1-11-22-21-11-1-11-11-1-1-1-11111-221-11-12-2-11-1100000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000000000
χ5922-22-2-12-222-22-122-1-1-12-2-2211-2-2-1-1-1-1-222-21-112-22-2-22-22-1-1-1-11111-11-11-111-11-11-100000000000000000000000000−i3i300i3−i3−i3i3i3−i30000
χ6022-22-2-12-222-22-122-1-1-12-2-2211-2-2-1-1-1-1-222-21-112-22-2-22-22-1-1-1-11111-11-11-111-11-11-100000000000000000000000000i3−i300−i3i3i3−i3−i3i30000
χ6122-22-2-12-222-22-122-1-1-1-222-211-2-2-1-1-1-1-222-21-11-22-222-22-2-1-1-1-111111-11-11-1-11-11-1100000000000000000000000000−i3i300i3−i3i3−i3−i3i30000
χ6222-22-2-12-222-22-122-1-1-1-222-211-2-2-1-1-1-1-222-21-11-22-222-22-2-1-1-1-111111-11-11-1-11-11-1100000000000000000000000000i3−i300−i3i3−i3i3i3−i30000
χ6322-2-2222-2-22222-2-222200002-22-2-22-2-2-2-222-2-2200000000-2-2222-2-220000000000002-2-22000022-2-2-2-222000000000000000000000000
χ6422-2-2222-2-22222-2-222200002-22-2-22-2-2-2-222-2-2200000000-2-2222-2-22000000000000-222-20000-2-22222-2-2000000000000000000000000
χ6522-2-222-122-2-2-1211-2-2-12i2i−2i−2i2-2-11-2-111-1-11122-2−i−i−i−iiiii-1-111-11-112i2i−i−i−i−i−2i−2iiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii0000000000000000
χ6622-2-222-122-2-2-1211-2-2-12i2i−2i−2i2-2-11-2-111-1-11122-2−i−i−i−iiiii-1-111-11-112i2i−i−i−i−i−2i−2iiiii-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i0000000000000000
χ6722-2-222-122-2-2-1211-2-2-1−2i−2i2i2i2-2-11-2-111-1-11122-2iiii−i−i−i−i-1-111-11-11−2i−2iiiii2i2i−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i0000000000000000
χ6822-2-222-122-2-2-1211-2-2-1−2i−2i2i2i2-2-11-2-111-1-11122-2iiii−i−i−i−i-1-111-11-11−2i−2iiiii2i2i−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii0000000000000000
χ6922-2-222-1-2-222-121122-100002-2-11-2-11111-1-1-2-2233−3−3−3−33311-1-1-111-10033−3−300−3−3332-2-220000-1-11111-1-133−3−3−3−3330000000000000000
χ7022-2-222-1-2-222-121122-100002-2-11-2-11111-1-1-2-2233−3−3−3−33311-1-1-111-10033−3−300−3−333-222-2000011-1-1-1-111−3−33333−3−30000000000000000
χ7122-2-222-1-2-222-121122-100002-2-11-2-11111-1-1-2-22−3−33333−3−311-1-1-111-100−3−3330033−3−32-2-220000-1-11111-1-1−3−33333−3−30000000000000000
χ7222-2-222-1-2-222-121122-100002-2-11-2-11111-1-1-2-22−3−33333−3−311-1-1-111-100−3−3330033−3−3-222-2000011-1-1-1-11133−3−3−3−3330000000000000000
χ7322-2-22-1222-2-22-1-2-211-12i2i−2i−2i-112-21-11122-2-2-1-112i2i2i2i−2i−2i−2i−2i-1-111-11-11−i−i−i−i−i−iiiiiii0000000000000000000000002-2-1-12i−2i11−i−iii0000
χ7422-2-22-1222-2-22-1-2-211-12i2i−2i−2i-112-21-11122-2-2-1-112i2i2i2i−2i−2i−2i−2i-1-111-11-11−i−i−i−i−i−iiiiiii000000000000000000000000-2211−2i2i-1-1ii−i−i0000
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χ7622-2-22-1222-2-22-1-2-211-1−2i−2i2i2i-112-21-11122-2-2-1-11−2i−2i−2i−2i2i2i2i2i-1-111-11-11iiiiii−i−i−i−i−i−i000000000000000000000000-22112i−2i-1-1−i−iii0000
χ7744444-24-4-4-4-44-24422-20000-2-244-2-2-2-2-4-4-4-4222000000002222-2-2220000000000000000000000000000000000000000000000000000
χ7844444-2-24444-2-2-2-2-2-214444-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-21111-2-211110000000000000000000000000000000000000000
χ7944444-2-24444-2-2-2-2-2-21-4-4-4-4-2-2-2-2-2111-2-2-2-2-2-2-2222222221111111122-1-1-1-122-1-1-1-10000000000000000000000000000000000000000
χ8044444-2-2-4-4-4-4-2-2-2-22210000-2-2-2-2-21112222222−2i3−2i32i32i3−2i3−2i32i32i3-1-1-1-111-1-100i3i3−i3−i300i3i3−i3−i30000000000000000000000000000000000000000
χ8144444-2-2-4-4-4-4-2-2-2-22210000-2-2-2-2-211122222222i32i3−2i3−2i32i32i3−2i3−2i3-1-1-1-111-1-100−i3−i3i3i300−i3−i3i3i30000000000000000000000000000000000000000
χ82444-4-4-244-44-44-2-4-4-2-2-200002-2-442-2224-44-4-2220000000022-2-22-2-220000000000000000000000000000000000000000000000000000
χ83444-4-4-2-24-44-4-2-222-2-2100002-22-221-1-1-22-22-22223−23−232323−23−2323-1-111-111-100−333−300−333−30000000000000000000000000000000000000000
χ84444-4-4-2-24-44-4-2-222-2-2100002-22-221-1-1-22-22-222−232323−23−232323−23-1-111-111-1003−3−33003−3−330000000000000000000000000000000000000000
χ85444-4-4-2-2-44-44-2-2222214i−4i4i−4i2-22-221-1-12-22-22-2-2−2i2i−2i2i−2i2i−2i2i11-1-1-11-11−2i2ii−ii−i−2i2ii−ii−i0000000000000000000000000000000000000000
χ86444-4-4-2-2-44-44-2-222221−4i4i−4i4i2-22-221-1-12-22-22-2-22i−2i2i−2i2i−2i2i−2i11-1-1-11-112i−2i−ii−ii2i−2i−ii−ii0000000000000000000000000000000000000000
χ8744-44-4-244-4-444-24422-2000022-4-4-2-2-2-24-4-44-22-200000000222222-2-20000000000000000000000000000000000000000000000000000
χ8844-44-4-2-24-4-44-2-2-2-222100002222-2111-222-2-22-2−2i32i32i3−2i32i3−2i3−2i32i3-1-1-1-1-1-11100i3−i3−i3i300−i3i3i3−i30000000000000000000000000000000000000000
χ8944-44-4-2-24-4-44-2-2-2-222100002222-2111-222-2-22-22i3−2i3−2i32i3−2i32i32i3−2i3-1-1-1-1-1-11100−i3i3i3−i300i3−i3−i3i30000000000000000000000000000000000000000
χ9044-44-4-2-2-444-4-2-2-2-2-2-214-4-442222-21112-2-222-22-22-222-22-21111-1-1-1-1-221-11-12-2-11-110000000000000000000000000000000000000000
χ9144-44-4-2-2-444-4-2-2-2-2-2-21-444-42222-21112-2-222-222-22-2-22-221111-1-1-1-12-2-11-11-221-11-10000000000000000000000000000000000000000
χ9244-4-44-24-4-4444-2-4-4-2-2-20000-224-42-222-4-44422-20000000022-2-2-222-20000000000000000000000000000000000000000000000000000
χ9344-4-44-2-244-4-4-2-2222214i4i−4i−4i-22-2221-1-1-2-222-2-22−2i−2i−2i−2i2i2i2i2i11-1-11-11-1−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000000000000000
χ9444-4-44-2-244-4-4-2-222221−4i−4i4i4i-22-2221-1-1-2-222-2-222i2i2i2i−2i−2i−2i−2i11-1-11-11-12i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000000000000000
χ9544-4-44-2-2-4-444-2-222-2-210000-22-2221-1-122-2-222-22323−23−23−23−232323-1-1111-1-1100−3−3330033−3−30000000000000000000000000000000000000000
χ9644-4-44-2-2-4-444-2-222-2-210000-22-2221-1-122-2-222-2−23−2323232323−23−23-1-1111-1-110033−3−300−3−3330000000000000000000000000000000000000000
χ978-8000880000-8-800008000000000-800000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-80008-400004-8−4i34i300-40000000004−4i34i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-80008-400004-84i3−4i300-400000000044i3−4i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8000-480000-840043−43-40000000004000000000000000000043−4300000000000000000000000000000000000000000000000000000000
χ1018-8000-480000-8400−4343-400000000040000000000000000000−434300000000000000000000000000000000000000000000000000000000
χ1028-8000-4-4000044−4i34i343−432000000000-22i3−2i30000000000000006i−6i−232300000000000000000000000000000000000000000000000000000000
χ1038-8000-4-4000044−4i34i3−43432000000000-22i3−2i3000000000000000−6i6i23−2300000000000000000000000000000000000000000000000000000000
χ1048-8000-4-40000444i3−4i343−432000000000-2−2i32i3000000000000000−6i6i−232300000000000000000000000000000000000000000000000000000000
χ1058-8000-4-40000444i3−4i3−43432000000000-2−2i32i30000000000000006i−6i23−2300000000000000000000000000000000000000000000000000000000

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