Finite Group Databasebeta

← Group #11786074

Character table — Group #11786074

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
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
χ91-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-1i−i
χ101-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-111−ii
χ111-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111−ii
χ121-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iii11-1-1i−i
χ131-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-1−ii
χ141-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-111i−i
χ151-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111i−i
χ161-11-111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i11-1-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000002-22-2000022-2-222-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-22-220000-2-222-2-22200000000000000000000000000
χ19222222222-122222222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-122222222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-122222222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-122222222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ23222222222-1-2-2-2-22222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-111000000000000−i3i3−i3i30000000000
χ24222222222-1-2-2-2-22222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-22-22000011-1-111-1-1000000000000i3−i3i3−i30000000000
χ25222222222-1-2-2-2-22222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i32-22-20000-1-111-1-111000000000000i3−i3i3−i30000000000
χ26222222222-1-2-2-2-22222-1-12-12-1-1-12-1-1-1-1-1-1-1-1-1-211-2-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-22-22000011-1-111-1-1000000000000−i3i3−i3i30000000000
χ2722222222-122222-1-1-1-122-12-1222-12-1-1-1-1-1-1-1-1-122-1-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2822222222-122222-1-1-1-122-12-1222-12-1-1-1-1-1-1-1-1-122-1-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2922222222-122222-1-1-1-122-12-1222-12-1-1-1-1-1-1-1-1-122-1-122-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ3022222222-122222-1-1-1-122-12-1222-12-1-1-1-1-1-1-1-1-122-1-122-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ31222-2-2-2-22222-22-2-2-22-22222-2-2-2-22-22-2-222-22-2-22-22-22-2200000000002-22-2000000000000000000000000000000000000000000002i−2i2i−2i00
χ32222-2-2-2-22222-22-2-2-22-22222-2-2-2-22-22-2-222-22-2-22-22-22-2200000000002-22-200000000000000000000000000000000000000000000−2i2i−2i2i00
χ33222-2-2-2-2222-22-22-2-22-22222-2-2-2-22-22-2-222-22-22-22-22-22-20000000000-22-220000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ34222-2-2-2-2222-22-22-2-22-22222-2-2-2-22-22-2-222-22-22-22-22-22-20000000000-22-22000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ35222-2-2-2-22-12-22-2211-1122-121-2-2-2-1-2-111-1-11-11-1-221-1-221003−3003−3001-11-13−33−33−33−300002i−2i2i−2i00000000−i−iii−i−iii00000000−i3i3−i3i3000000
χ36222-2-2-2-22-12-22-2211-1122-121-2-2-2-1-2-111-1-11-11-1-221-1-221003−3003−3001-11-13−33−33−33−30000−2i2i−2i2i00000000ii−i−iii−i−i00000000i3−i3i3−i3000000
χ37222-2-2-2-22-12-22-2211-1122-121-2-2-2-1-2-111-1-11-11-1-221-1-22100−3300−33001-11-1−33−33−33−3300002i−2i2i−2i00000000−i−iii−i−iii00000000i3−i3i3−i3000000
χ38222-2-2-2-22-12-22-2211-1122-121-2-2-2-1-2-111-1-11-11-1-221-1-22100−3300−33001-11-1−33−33−33−330000−2i2i−2i2i00000000ii−i−iii−i−i00000000−i3i3−i3i3000000
χ392-222-2-22-2222-2-22-2-2-22-2-22222-2-2-222-2-2-2-22222-222-22-2-20000000000-222-20000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ402-222-2-22-2222-2-22-2-2-22-2-22222-2-2-222-2-2-2-22222-222-22-2-20000000000-222-2000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ412-222-2-22-222-222-2-2-2-22-2-22222-2-2-222-2-2-2-2222-22-2-22-22200000000002-2-22000000000000000000000000000000000000000000002i−2i−2i2i00
χ422-222-2-22-222-222-2-2-2-22-2-22222-2-2-222-2-2-2-2222-22-2-22-22200000000002-2-2200000000000000000000000000000000000000000000−2i2i2i−2i00
χ432-222-2-22-2-122-2-22111-1-2-2-12-12-2-212-11111-1-1-1-1-22-112-2100−i3i300i3−i3001-1-11−i3i3−i3i3i3−i3i3−i300002i−2i−2i2i00000000−i−iiiii−i−i00000000−333−3000000
χ442-222-2-22-2-122-2-22111-1-2-2-12-12-2-212-11111-1-1-1-1-22-112-2100−i3i300i3−i3001-1-11−i3i3−i3i3i3−i3i3−i30000−2i2i2i−2i00000000ii−i−i−i−iii000000003−3−33000000
χ452-222-2-22-2-122-2-22111-1-2-2-12-12-2-212-11111-1-1-1-1-22-112-2100i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i300002i−2i−2i2i00000000−i−iiiii−i−i000000003−3−33000000
χ462-222-2-22-2-122-2-22111-1-2-2-12-12-2-212-11111-1-1-1-1-22-112-2100i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i30000−2i2i2i−2i00000000ii−i−i−i−iii00000000−333−3000000
χ472-22-222-2-22222-2-222-2-2-2-222-2-222-2-2222-2-2-22-2-2-2-22222-20000000000-2-222000000002-2-22000022-2-2-2-22200000000000000000000000000
χ482-22-222-2-22222-2-222-2-2-2-222-2-222-2-2222-2-2-22-2-2-2-22222-20000000000-2-22200000000-222-20000-2-22222-2-200000000000000000000000000
χ492-22-222-2-22-122-2-222-2-2112-1-21-1-1-21-1-1-1111-11-21122-1-1-200003−300−3311-1-133−3−3−3−3332-2-220000-1-11111-1-10000000000003−3−330000000000
χ502-22-222-2-22-122-2-222-2-2112-1-21-1-1-21-1-1-1111-11-21122-1-1-200003−300−3311-1-133−3−3−3−333-222-2000011-1-1-1-111000000000000−333−30000000000
χ512-22-222-2-22-122-2-222-2-2112-1-21-1-1-21-1-1-1111-11-21122-1-1-20000−33003−311-1-1−3−33333−3−32-2-220000-1-11111-1-1000000000000−333−30000000000
χ522-22-222-2-22-122-2-222-2-2112-1-21-1-1-21-1-1-1111-11-21122-1-1-20000−33003−311-1-1−3−33333−3−3-222-2000011-1-1-1-1110000000000003−3−330000000000
χ532-22-222-2-22-1-2-22222-2-2112-1-21-1-1-21-1-1-1111-112-1-1-2-21122i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii22-2-20000-1-1-1-11111000000002i−2i00−i−iii0000000000
χ542-22-222-2-22-1-2-22222-2-2112-1-21-1-1-21-1-1-1111-112-1-1-2-21122i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-2-22200001111-1-1-1-100000000−2i2i00ii−i−i0000000000
χ552-22-222-2-22-1-2-22222-2-2112-1-21-1-1-21-1-1-1111-112-1-1-2-2112−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i22-2-20000-1-1-1-1111100000000−2i2i00ii−i−i0000000000
χ562-22-222-2-22-1-2-22222-2-2112-1-21-1-1-21-1-1-1111-112-1-1-2-2112−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-2-22200001111-1-1-1-1000000002i−2i00−i−iii0000000000
χ572-22-222-2-2-12-2-222-1-111-2-2-121-2221-2-1-1-1111-11-12211-2-2-12i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-11111002i−2i0000−i−iii000000
χ582-22-222-2-2-12-2-222-1-111-2-2-121-2221-2-1-1-1111-11-12211-2-2-12i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-100−2i2i0000ii−i−i000000
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χ884-444-4-44-4-2-2-444-4222-222-2-2-2-2222-21-1-1-1-11112-222-22-2-200000000001-1-113-3-33-333-3000000000000000000000000000000000000000000
χ894-444-4-44-4-2-2-444-4222-222-2-2-2-2222-21-1-1-1-11112-222-22-2-200000000001-1-11-333-33-3-33000000000000000000000000000000000000000000
χ904-44-444-4-4-2444-4-4-2-222-4-4-242-4442-4-2-2-2222-222-4-4-2-2442000000000022-2-200000000000000000000000000000000000000000000000000
χ914-44-444-4-4-2-244-4-4-2-22222-2-222-2-222111-1-1-11-1222-2-2-2-22000023−2300−2323-1-111−3−33333−3−3000000000000000000000000000000000000000000
χ924-44-444-4-4-2-244-4-4-2-22222-2-222-2-222111-1-1-11-1222-2-2-2-220000−23230023−23-1-11133−3−3−3−333000000000000000000000000000000000000000000
χ934-44-444-4-4-2-2-4-444-2-22222-2-222-2-222111-1-1-11-1-2-2-22222-24i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000000000
χ944-44-444-4-4-2-2-4-444-2-22222-2-222-2-222111-1-1-11-1-2-2-22222-2−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000
χ954-4-44-44-44440000-44-4-4-44-4-444-444-44-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-44-44-444-20000-44-4-42-2-424-22-242-22-22-222-20000000000000000000000000000000000000023−2300−23230000000000000000000000000000
χ974-4-44-44-444-20000-44-4-42-2-424-22-242-22-22-222-200000000000000000000000000000000000000−23230023−230000000000000000000000000000
χ984-4-44-44-44-2400002-222-442-4-24-44-2-4-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ994-4-44-44-44-2400002-222-442-4-24-44-2-4-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ1004-4-4-44-4444400004-4-44-44-4-4-4-44-44444-4-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-200004-4-442-2-42-42-224-2-2-222-2-222000000000000000000000000000000000000000023−2300−232300000000000000000000000000
χ1024-4-4-44-4444-200004-4-442-2-42-42-224-2-2-222-2-2220000000000000000000000000000000000000000−23230023−2300000000000000000000000000
χ1034-4-4-44-444-240000-222-2-442-42-44-4-24-2-222-2-22200000000000000000000000000000000000000000000006−66−6−66−66000000000000000000
χ1044-4-4-44-444-240000-222-2-442-42-44-4-24-2-222-2-2220000000000000000000000000000000000000000000000−66−666−66−6000000000000000000
χ10588-888-8-8-8-4-40000-44-44-4444-4-4-444422-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-400004-4-4-4-4444444-44-42-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-88-4-400004-4444-444-4-44-4-442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-40000-444-44-44444-44-4-422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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