Finite Group Databasebeta

← Group #11789107

Character table — Group #11789107

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222222233444466666666666666366666661212121212121212444444121212121212121212121212121212121212121244444488881212121212121212242424242424242444121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1
χ91-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i1-11111-1-1-1-111-1-11111-1-1-1-1i−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−ii−iii−i−iii−i−i11-1-111-1-1
χ101-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i1-11111-1-1-1-111-1-11111-1-1-1-1i−i−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiiii−i−i−iiiii−i−i-1-111-1-111
χ111-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i-11-1-1-1-1111111-1-1-1-1-1-11111i−iii−i−i−i−iiiii−i−iii−i−i−i−i−i−iiiii−iiii−i−i−i−iii11-1-1-1-111
χ121-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−i-11-1-1-1-1111111-1-1-1-1-1-11111i−i−i−iiiii−i−iii−i−iii−i−iiiii−i−i−i−i−ii−i−iii−i−iii-1-11111-1-1
χ131-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii1-11111-1-1-1-111-1-11111-1-1-1-1−iiii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−i−iiii−i−i−i−iii-1-111-1-111
χ141-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii1-11111-1-1-1-111-1-11111-1-1-1-1−ii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−ii−i−iii−i−iii11-1-111-1-1
χ151-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii-11-1-1-1-1111111-1-1-1-1-1-11111−iiii−i−i−i−iii−i−iii−i−iii−i−i−i−iiiiii−iii−i−iii−i−i-1-11111-1-1
χ161-111-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii-11-1-1-1-1111111-1-1-1-1-1-11111−ii−i−iiiii−i−i−i−iii−i−iiiiiii−i−i−i−ii−i−i−iiiii−i−i11-1-1-1-111
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-222220000000000-2-2-2-200000000-2-200000000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022000000002222-2-2-2-200000000000000000000000000
χ19222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-100000000220000-1-1-1-100000000
χ20222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222-2-2-2-211-2-211-1-1-1-1111111112200000000-1-1-1-1-1-1-1-100000000-2-20000111100000000
χ21222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-20000111100000000
χ22222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-211-2-211-1-1-1-111111111-2-2000000001111111100000000220000-1-1-1-100000000
χ23222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-222220000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2000000001111-1-1-1-100000000000000−i3i3−i3i300000000
χ24222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-222220000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2000000001111-1-1-1-100000000000000i3−i3i3−i300000000
χ25222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1111100000000000000i3−i3i3−i300000000
χ26222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1111100000000000000−i3i3−i3i300000000
χ2722222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-100-1-1-1-1000000000000
χ2822222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111001111000000000000
χ2922222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-10000-2-211-2-211-2-2-1-1-1-111111111002222-2-2-2-2000000001111111100-1-1-1-1000000000000
χ3022222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-10000-2-211-2-211-2-2-1-1-1-11111111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1001111000000000000
χ31222-2-22-2-22222-2-2-2-22-2-22222-2-2-22-22-222-2-22-22-22-222-2-2000000000000002-22-200000000002-22-200000000000000000000002-22-2000000000000
χ32222-2-22-2-22222-2-2-2-22-2-22222-2-2-22-22-222-2-22-22-22-222-2-2000000000000002-22-20000000000-22-220000000000000000000000-22-22000000000000
χ33222-2-22-2-222-2-222-2-22-2-22222-2-2-22-22-222-2-22-2-22-22-2-22200000000000000-22-22000000000000000000000000000000000000000000002i−2i2i−2i0000
χ34222-2-22-2-222-2-222-2-22-2-22222-2-2-22-22-222-2-22-2-22-22-2-22200000000000000-22-2200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ35222-2-22-2-2-1222-2-21-2-11122-121-2-2-1-2-11-1-111-11-112-2-12-210000003−3003−300-11-113−33−33−33−3002-22-200000000000033−3−333−3−300-11-11000000000000
χ36222-2-22-2-2-1222-2-21-2-11122-121-2-2-1-2-11-1-111-11-112-2-12-210000003−3003−300-11-113−33−33−33−300-22-22000000000000−3−333−3−333001-11-1000000000000
χ37222-2-22-2-2-1222-2-21-2-11122-121-2-2-1-2-11-1-111-11-112-2-12-21000000−3300−3300-11-11−33−33−33−33002-22-2000000000000−3−333−3−33300-11-11000000000000
χ38222-2-22-2-2-1222-2-21-2-11122-121-2-2-1-2-11-1-111-11-112-2-12-21000000−3300−3300-11-11−33−33−33−3300-22-2200000000000033−3−333−3−3001-11-1000000000000
χ3922-22-2-22-2220000-2-222-22-2-2-222-2-222-22-22-2-22000000002-22-20000000000000000000000000000−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i200000000000000−i2i2−i2i2
χ4022-22-2-22-2220000-2-222-22-2-2-222-2-222-22-22-2-22000000002-22-20000000000000000000000000000i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i200000000000000i2−i2i2−i2
χ4122-22-2-22-2220000-2-222-22-2-2-222-2-222-22-22-2-2200000000-22-220000000000000000000000000000−i2i2−i2i20000-22-22−i2i2−i2i2−i2i2−i2i200000000000000i2−i2i2−i2
χ4222-22-2-22-2220000-2-222-22-2-2-222-2-222-22-22-2-2200000000-22-220000000000000000000000000000i2−i2i2−i20000-22-22i2−i2i2−i2i2−i2i2−i200000000000000−i2i2−i2i2
χ432-222-2-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-222222i2i−2i−2i0000000000-2-22200000000−2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ442-222-2-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-22222−2i−2i2i2i0000000000-2-222000000002i−2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ452-222-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i−2i−2i2-222-1-1-2-211-1-111-1-1-1-111112i−2i00000000−i−iii−i−iii000000002i−2i0000−i−iii00000000
χ462-222-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i−2i−2i-22-2-21122-1-1-1-1111111-1-1-1-12i−2i00000000−i−iii−i−iii00000000−2i2i0000ii−i−i00000000
χ472-222-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i2i2i2-222-1-1-2-211-1-111-1-1-1-11111−2i2i00000000ii−i−iii−i−i00000000−2i2i0000ii−i−i00000000
χ482-222-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i2i2i-22-2-21122-1-1-1-1111111-1-1-1-1−2i2i00000000ii−i−iii−i−i000000002i−2i0000−i−iii00000000
χ492-222-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i0000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3−2i2i00000000ii−i−i−i−iii000000000000003−3−3300000000
χ502-222-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i0000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3−2i2i00000000ii−i−i−i−iii00000000000000−333−300000000
χ512-222-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i0000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i32i−2i00000000−i−iiiii−i−i00000000000000−333−300000000
χ522-222-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i0000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i32i−2i00000000−i−iiiii−i−i000000000000003−3−3300000000
χ532-222-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100002-2-1-12211-2-2-1-111-1-1-1-11111002i2i−2i−2i2i2i−2i−2i00000000−i−i−i−iiiii00−i−iii000000000000
χ542-222-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100002-2-1-12211-2-2-1-111-1-1-1-1111100−2i−2i2i2i−2i−2i2i2i00000000iiii−i−i−i−i00ii−i−i000000000000
χ552-222-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-210000-2211-2-2-1-122-1-1111111-1-1-1-1002i2i−2i−2i−2i−2i2i2i00000000iiii−i−i−i−i00−i−iii000000000000
χ562-222-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-210000-2211-2-2-1-122-1-1111111-1-1-1-100−2i−2i2i2i2i2i−2i−2i00000000−i−i−i−iiiii00ii−i−i000000000000
χ572-22-22-22-2222-22-2-2-2-222-2-222-2-22-222-2-2-2222-22-22-2-2-222000000000000002-2-2200000000002i−2i−2i2i00000000000000000000002i−2i−2i2i000000000000
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χ78444-4-44-4-4-2-244-4-422-222-2-2-2-2222-221-111-1-11-1-22-22-2-222000000−232300−2323001-11-13−33−33−33−300000000000000000000000000000000000000000000
χ79444-4-44-4-4-2-2-4-44422-222-2-2-2-2222-221-111-1-11-12-22-222-2-200000000000000-11-113i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ80444-4-44-4-4-2-2-4-44422-222-2-2-2-2222-221-111-1-11-12-22-222-2-200000000000000-11-11−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ8144-44-4-44-44-20000-4244-4-22-424-22-4-2-22-22-222-2000000004-44-4000000000000000000000000000000000000-22-2200000000000000000000000000
χ8244-44-4-44-44-20000-4244-4-22-424-22-4-2-22-22-222-200000000-44-440000000000000000000000000000000000002-22-200000000000000000000000000
χ8344-44-4-44-4-2400002-4-2-224-42-4-24-424-22-22-222-20000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i2000000000000000000
χ8444-44-4-44-4-2400002-4-2-224-42-4-24-424-22-22-222-200000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i2000000000000000000
χ8544-4-44-4-44440000444-444-4-4-4-4-44-4-4444-4-44-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-4-44-4-444-200004-24-44-22-42-42-2-42-2-2-222-22200000000000000000000000000000000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ8744-4-44-4-444-200004-24-44-22-42-42-2-42-2-2-222-222000000000000000000000000000000000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ8844-4-44-4-44-240000-24-22-24-42-42-442-4-2-2-222-2220000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ8944-4-44-4-44-240000-24-22-24-42-42-442-4-2-2-222-2220000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ904-444-4-4-44-24-444-4-24222-4-4-24-24-42-4-2-22222-2-222-4-4-244-20000000000000022-2-20000000000000000000000000000000000000000000000000000
χ914-444-4-4-44-2-24-4-44-2-222222-2-2-2-222211-1-1-1-111-2-2-2-2222200004-4-2-2-2-2222211-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ924-444-4-4-44-2-24-4-44-2-222222-2-2-2-222211-1-1-1-111-2-2-2-222220000-442222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000000000
χ934-444-4-4-44-2-2-444-4-2-222222-2-2-2-222211-1-1-1-1112222-2-2-2-200000000−2i32i3002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ944-444-4-4-44-2-2-444-4-2-222222-2-2-2-222211-1-1-1-1112222-2-2-2-2000000002i3−2i300−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ954-44-44-44-44-24-44-4-42-444224-2-42-2-4-2-2222-2-2-224-4-22-42-2400000000000000-222-20000000000000000000000000000000000000000000000000000
χ964-44-44-44-44-2-44-44-42-444224-2-42-2-4-2-2222-2-2-22-442-24-22-4000000000000002-2-220000000000000000000000000000000000000000000000000000
χ974-44-44-44-4-24-44-442-42-2-2-4-4-242-4424-2222-2-2-222-2-44-24-42000000000000002-2-220000000000000000000000000000000000000000000000000000
χ984-44-44-44-4-2-24-44-4222-2-222-2-222-22-21-1-1-1111-1-22-2222-2-200000023−2300−2323001-1-11−33−333−33−300000000000000000000000000000000000000000000
χ994-44-44-44-4-2-24-44-4222-2-222-2-222-22-21-1-1-1111-1-22-2222-2-2000000−23230023−23001-1-113−33−3−33−3300000000000000000000000000000000000000000000
χ1004-44-44-44-4-2-2-44-44222-2-222-2-222-22-21-1-1-1111-12-22-2-2-22200000000000000-111-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1014-44-44-44-4-2-2-44-44222-2-222-2-222-22-21-1-1-1111-12-22-2-2-22200000000000000-111-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1024-4-4444-4-44-20000-42-4-442-2-424-2-242-222-22-22-2000000004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1034-4-4444-4-44-20000-42-4-442-2-424-2-242-222-22-22-200000000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ1044-4-4444-4-4-2400002-422-2-442-4-244-2-4-222-22-22-2000000000000000000000000000000000000000022−22−222200000000−22−222−22−2000000000000000000
χ1054-4-4444-4-4-2400002-422-2-442-4-244-2-4-222-22-22-20000000000000000000000000000000000000000−222222−22000000002−22−2−22−22000000000000000000
χ1064-4-4-4-444444000044-44-4-44-4-4-4-4-44444-444-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-44444-200004-2-44-42-2-42-4224-2-2-22-2-22220000000000000000000000000000000000000000000023−23−2323000000000000000000000000000000
χ1084-4-4-4-44444-200004-2-44-42-2-42-4224-2-2-22-2-222200000000000000000000000000000000000000000000−232323−23000000000000000000000000000000
χ1094-4-4-4-4444-240000-242-22-442-42-4-4-24-2-22-2-222200000000000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ1104-4-4-4-4444-240000-242-22-442-42-4-4-24-2-22-2-22220000000000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ11188-88-8-88-8-4-4000044-4-44-4444-4-444-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-8-88-4-40000-4-4-44-4-444444-444222-2-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8888-8-8-4-400004444-44-444-4-4-4-442-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-8-8888-4-40000-4-44-444-444444-4-422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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