Finite Group Databasebeta

← Group #11790734

Character table — Group #11790734

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1i−i
χ101-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111−ii
χ111-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111−ii
χ121-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-11111-1-1i−i
χ131-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-11111-1-1−ii
χ141-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111i−i
χ151-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111i−i
χ161-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000000000002-22-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000000000000000-22-2200
χ19222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ20222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ21222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ22222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-1-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ2322222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ2422222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-211-2-211-2-2-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ27222-2-2-22-2222-22-2-2-2-2-222-222-2-2-2222-2-222-22-22-22-22-2-2200000000002-22-2000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ28222-2-2-22-2222-22-2-2-2-2-222-222-2-2-2222-2-222-22-22-22-22-2-2200000000002-22-200000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ29222-2-2-22-222-22-22-2-2-2-222-222-2-2-2222-2-222-22-2-22-22-222-20000000000-22-220000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ30222-2-2-22-222-22-22-2-2-2-222-222-2-2-2222-2-222-22-2-22-22-222-20000000000-22-22000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ31222-2-2-22-22-1-22-22-2-21122-2-1-11-212-1-111-1-11-11-221-1-2-12100003−3003−31-11-133−3−333−3−300002i−2i2i−2i00000000−i−iii−i−iii00000000−i3i3−i3i3000000
χ32222-2-2-22-22-1-22-22-2-21122-2-1-11-212-1-111-1-11-11-221-1-2-12100003−3003−31-11-133−3−333−3−30000−2i2i−2i2i00000000ii−i−iii−i−i00000000i3−i3i3−i3000000
χ33222-2-2-22-22-1-22-22-2-21122-2-1-11-212-1-111-1-11-11-221-1-2-1210000−3300−331-11-1−3−333−3−33300002i−2i2i−2i00000000−i−iii−i−iii00000000i3−i3i3−i3000000
χ34222-2-2-22-22-1-22-22-2-21122-2-1-11-212-1-111-1-11-11-221-1-2-1210000−3300−331-11-1−3−333−3−3330000−2i2i−2i2i00000000ii−i−iii−i−i00000000−i3i3−i3i3000000
χ35222-2-2-22-2-122-22-211-2-2-1-1122-21-2-12-111-1-11-11-112-2-1-212003−3003−300-11-113−33−33−33−32i−2i2i−2i0000−i−iii−i−iii000000000000−i3i3−i3i30000000000
χ36222-2-2-22-2-122-22-211-2-2-1-1122-21-2-12-111-1-11-11-112-2-1-212003−3003−300-11-113−33−33−33−3−2i2i−2i2i0000ii−i−iii−i−i000000000000i3−i3i3−i30000000000
χ37222-2-2-22-2-122-22-211-2-2-1-1122-21-2-12-111-1-11-11-112-2-1-21200−3300−3300-11-11−33−33−33−332i−2i2i−2i0000−i−iii−i−iii000000000000i3−i3i3−i30000000000
χ38222-2-2-22-2-122-22-211-2-2-1-1122-21-2-12-111-1-11-11-112-2-1-21200−3300−3300-11-11−33−33−33−33−2i2i−2i2i0000ii−i−iii−i−i000000000000−i3i3−i3i30000000000
χ392-2-22-2-222222-2-22-2-2-2-2-2-22-2-2222222-2-2-2-22222-22-2-222-200000000002-2-22000000002-2-22000022-2-2-2-22200000000000000000000000000
χ402-2-22-2-222222-2-22-2-2-2-2-2-22-2-2222222-2-2-2-22222-22-2-222-200000000002-2-2200000000-222-20000-2-22222-2-200000000000000000000000000
χ412-2-22-2-22222-222-2-2-2-2-2-2-22-2-2222222-2-2-2-2222-22-222-2-220000000000-222-20000000000002-2-220000000022-2-2-2-222000000000000000000
χ422-2-22-2-22222-222-2-2-2-2-2-2-22-2-2222222-2-2-2-2222-22-222-2-220000000000-222-2000000000000-222-200000000-2-22222-2-2000000000000000000
χ432-2-22-2-2222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-1-221-121-2-10000−i3i300i3−i31-1-11−i3−i3i3i3i3i3−i3−i300002-2-2200000000-1-11111-1-100000000−i3i3i3−i3000000
χ442-2-22-2-2222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-1-221-121-2-10000−i3i300i3−i31-1-11−i3−i3i3i3i3i3−i3−i30000-222-20000000011-1-1-1-11100000000i3−i3−i3i3000000
χ452-2-22-2-2222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-1-221-121-2-10000i3−i300−i3i31-1-11i3i3−i3−i3−i3−i3i3i300002-2-2200000000-1-11111-1-100000000i3−i3−i3i3000000
χ462-2-22-2-2222-1-222-2-2-211-2-2211-12-12-1-11111-1-1-1-221-121-2-10000i3−i300−i3i31-1-11i3i3−i3−i3−i3−i3i3i30000-222-20000000011-1-1-1-11100000000−i3i3i3−i3000000
χ472-2-22-2-222-122-2-2211-2-211-1-2-22-12-12-11111-1-1-1-112-212-1-200−i3i300i3−i300-111-1−i3i3−i3i3i3−i3i3−i32-2-220000-1-11111-1-1000000000000−i3i3i3−i30000000000
χ482-2-22-2-222-122-2-2211-2-211-1-2-22-12-12-11111-1-1-1-112-212-1-200−i3i300i3−i300-111-1−i3i3−i3i3i3−i3i3−i3-222-2000011-1-1-1-111000000000000i3−i3−i3i30000000000
χ492-2-22-2-222-122-2-2211-2-211-1-2-22-12-12-11111-1-1-1-112-212-1-200i3−i300−i3i300-111-1i3−i3i3−i3−i3i3−i3i32-2-220000-1-11111-1-1000000000000i3−i3−i3i30000000000
χ502-2-22-2-222-122-2-2211-2-211-1-2-22-12-12-11111-1-1-1-112-212-1-200i3−i300−i3i300-111-1i3−i3i3−i3−i3i3−i3i3-222-2000011-1-1-1-111000000000000−i3i3i3−i30000000000
χ512-2-2-2222-222-2-2222222-2-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-222220000000000-2-222000000000000000000000000000000000000000000002-2-2200
χ522-2-2-2222-222-2-2222222-2-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-222220000000000-2-22200000000000000000000000000000000000000000000-222-200
χ532-2-2-2222-22-122-2-222-1-1-2-2-2111-212-1-1-1-1111-1122-1-1-21-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii002-20000-1-111000000
χ542-2-2-2222-22-122-2-222-1-1-2-2-2111-212-1-1-1-1111-1122-1-1-21-212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i00-22000011-1-1000000
χ552-2-2-2222-22-122-2-222-1-1-2-2-2111-212-1-1-1-1111-1122-1-1-21-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii00-22000011-1-1000000
χ562-2-2-2222-22-122-2-222-1-1-2-2-2111-212-1-1-1-1111-1122-1-1-21-21−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i002-20000-1-111000000
χ572-2-2-2222-2-1222-2-2-1-122111-2-2-21-2-12-1-1-1111-11-1-1221-21-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii000000002-200-1-1110000000000
χ582-2-2-2222-2-1222-2-2-1-122111-2-2-21-2-12-1-1-1111-11-1-1221-21-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i00000000-220011-1-10000000000
χ592-2-2-2222-2-1222-2-2-1-122111-2-2-21-2-12-1-1-1111-11-1-1221-21-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii00000000-220011-1-10000000000
χ602-2-2-2222-2-1222-2-2-1-122111-2-2-21-2-12-1-1-1111-11-1-1221-21-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i000000002-200-1-1110000000000
χ61444444444-2-4-4-4-444-2-2444-2-2-24-24-2-2-2-2-2-2-2-2-2-4-422-42-420000000000222200000000000000000000000000000000000000000000000000
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χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111222222220000000000-1-1-1-13-3-333-3-33000000000000000000000000000000000000000000
χ6644444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111222222220000000000-1-1-1-1-333-3-333-3000000000000000000000000000000000000000000
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χ70444-4-4-44-4-2-24-44-42222-2-22-2-2222-2-21-1-111-11-1-22-22-222-200−232300−2323001-11-13−33−33−33−3000000000000000000000000000000000000000000
χ71444-4-4-44-4-2-2-44-442222-2-22-2-2222-2-21-1-111-11-12-22-22-2-22000023−230023−23-11-11−3−333−3−333000000000000000000000000000000000000000000
χ72444-4-4-44-4-2-2-44-442222-2-22-2-2222-2-21-1-111-11-12-22-22-2-220000−232300−2323-11-1133−3−333−3−3000000000000000000000000000000000000000000
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χ904-44-44-4-444-200004-4-22-4442-2-2-42-42-2-222-2-2220000000000000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000
χ914-44-44-4-44-240000-224-42-2-2-4442-42-4-2-222-2-22200000000000000000000000000000000000000i6−i6i6−i6−i6i6−i6i600000000000000000000000000
χ924-44-44-4-44-240000-224-42-2-2-4442-42-4-2-222-2-22200000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ934-4-44-4-4444-24-4-44-4-422-4-4422-24-24-2-22222-2-2-24-4-22-4-2420000000000-222-200000000000000000000000000000000000000000000000000
χ944-4-44-4-444-24-444-422-4-422-2-4-44-24-24-22222-2-2-22-2-44-2-42400000000002-2-2200000000000000000000000000000000000000000000000000
χ954-4-44-4-444-2-24-4-44222222-222-2-2-2-2-21-1-1-1-1111-22-222-2-2200−2i32i3002i3−2i3001-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ964-4-44-4-444-2-24-4-44222222-222-2-2-2-2-21-1-1-1-1111-22-222-2-22002i3−2i300−2i32i3001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ974-4-44-4-444-2-2-444-4222222-222-2-2-2-2-21-1-1-1-11112-22-2-222-20000−2i32i3002i3−2i3-111-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ984-4-44-4-444-2-2-444-4222222-222-2-2-2-2-21-1-1-1-11112-22-2-222-200002i3−2i300−2i32i3-111-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ994-4-4-4444-44-2-4-44444-2-2-4-4-4222-424-2-2-2-2222-22-4-4224-24-2000000000022-2-200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-4-444-2-244222-4-4-42-4-24-2-2-2222-2222-4-4-24-24000000000022-2-200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-244-4-4-2-2-2-222222222-2-2111-1-1-11-1-2-2-2-222224i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-244-4-4-2-2-2-222222222-2-2111-1-1-11-1-2-2-2-22222−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-4-444-2-2-2-222222222-2-2111-1-1-11-12222-2-2-2-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-4-444-2-2-2-222222222-2-2111-1-1-11-12222-2-2-2-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ10588-888-8-8-8-4-40000-44-44-444-444-4-44422-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-400004-44-4-44-4-44-444442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-400004-44-44-444-44-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-8-88-4-40000-44-444-4-44-4-4444422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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