Finite Group Databasebeta

← Group #11786078

Character table — Group #11786078

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
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
χ91-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−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
χ101-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-111−ii
χ111-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii-1-111−ii
χ121-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−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
χ131-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−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
χ141-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-111i−i
χ151-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i-1-111i−i
χ161-1111-1-1-111-1-11111-1-1-1-1-111-111-1-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−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
χ19222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
χ20222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-200001111000000
χ21222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-10000000000-2-200001111000000
χ22222222222-122222222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
χ23222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-1110000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-22-22000011-1-111-1-10000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i32-22-20000-1-111-1-1110000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22222-1-1-12-12-1-12-1-1-1-1-1-1-1-1-1-211-2-211-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-22-22000011-1-111-1-10000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ2822222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20011110000000000
χ2922222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-1-2-21111-2-2-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ3022222222-122222-1-1-1-1222-12-122-12-1-1-1-1-1-1-1-1-122-1-122-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-200000000111111112200-1-1-1-10000000000
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χ33222-2-2-22-222-22-22-2-22-22-2-2222-2-2-222-2-22-2-2222-22-22-22-20000000000-22-220000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ34222-2-2-22-222-22-22-2-22-22-2-2222-2-2-222-2-22-2-2222-22-22-22-20000000000-22-22000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000
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χ38222-2-2-22-2-12-22-2211-112-2-2-12-1-2-212-111-111-1-1-1-221-1-22100i3−i3i3−i300001-11-1i3−i3i3−i3i3−i3i3−i30000−2i2i−2i2i00000000ii−i−iii−i−i00003−33−30000000000
χ392-2222-2-2-22222-2-222-2-2-2-2-222-222-2-2222-2-2-22-2-2-2-22222-20000000000-2-222000000002-2-22000022-2-2-2-22200000000000000000000000000
χ402-2222-2-2-22222-2-222-2-2-2-2-222-222-2-2222-2-2-22-2-2-2-22222-20000000000-2-22200000000-222-20000-2-22222-2-200000000000000000000000000
χ412-2222-2-2-22-122-2-222-2-21112-1-2-1-1-21-1-1-1111-11-21122-1-1-20000003−3−3311-1-133−3−3−3−3332-2-220000-1-11111-1-100000000000000003−3−33000000
χ422-2222-2-2-22-122-2-222-2-21112-1-2-1-1-21-1-1-1111-11-21122-1-1-20000003−3−3311-1-133−3−3−3−333-222-2000011-1-1-1-1110000000000000000−333−3000000
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χ502-2222-2-2-2-12-2-222-1-111-2-2-2-121221-2-1-1-1111-11-12211-2-2-12i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-1−2i2i00ii−i−i0000000000
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χ874-4444-4-4-4-2-2-4-444-2-222222-2-22-2-222111-1-1-11-1-2-2-22222-2−4i4i2i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000000000
χ884-44-4-44-444-24-4-44-4-4-442-2-24-2-42242-2222-2-2-2242-24-4-22-400000000002-2-2200000000000000000000000000000000000000000000000000
χ894-44-4-44-444-2-444-4-4-4-442-2-24-2-42242-2222-2-2-22-4-22-442-240000000000-222-200000000000000000000000000000000000000000000000000
χ904-44-4-44-44-24-444-4222-2-444-242-4-4-2-4-2222-2-2-2224-42-2-44-20000000000-222-200000000000000000000000000000000000000000000000000
χ914-44-4-44-44-2-24-4-44222-22-2-2-2-2222-221-1-1-1111-1-22-2-22-2220023−23−23230000-111-1−33−333−33−3000000000000000000000000000000000000000000
χ924-44-4-44-44-2-24-4-44222-22-2-2-2-2222-221-1-1-1111-1-22-2-22-22200−232323−230000-111-13−33−3−33−33000000000000000000000000000000000000000000
χ934-44-4-44-44-2-2-444-4222-22-2-2-2-2222-221-1-1-1111-12-222-22-2-200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ944-44-4-44-44-2-2-444-4222-22-2-2-2-2222-221-1-1-1111-12-222-22-2-200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ954-4-44-4-4444400004-4-44-4-44-4-444-4-4444-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-4444-200004-4-4422-2-424-22-4-2-2-2222-22-200000000000000000000000000000000000000−2i32i3002i3−2i30000000000000000000000000000
χ974-4-44-4-4444-200004-4-4422-2-424-22-4-2-2-2222-22-2000000000000000000000000000000000000002i3−2i300−2i32i30000000000000000000000000000
χ984-4-44-4-444-240000-222-2-4-442-4-24-424-2-2222-22-200000000000000000000000000000000000000000000006−66−6−66−66000000000000000000
χ994-4-44-4-444-240000-222-2-4-442-4-24-424-2-2222-22-20000000000000000000000000000000000000000000000−66−666−66−6000000000000000000
χ1004-4-4-4444-4440000-44-4-4-44-4-4-44-44444-44-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-20000-44-4-42-22-4242-24-2-22-22-222-20000000000000000000000000000000000000000−2i32i3002i3−2i300000000000000000000000000
χ1024-4-4-4444-44-20000-44-4-42-22-4242-24-2-22-22-222-200000000000000000000000000000000000000002i3−2i300−2i32i300000000000000000000000000
χ1034-4-4-4444-4-2400002-222-44-42-4-2-44-24-22-22-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ1044-4-4-4444-4-2400002-222-44-42-4-2-44-24-22-22-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ10588-88-88-8-8-4-40000-44-44-4-44444-44-4422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-400004-4-4-4-44-44444-4442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-8-888-4-40000-444-444-444-4-444-422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-400004-4444-4444-44-4-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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