Finite Group Databasebeta

← Group #11789899

Character table — Group #11789899

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888822
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
χ911-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−i1-1
χ1011-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i-1-111ii−i−iii−i−i-1-1-1-111111-1−ii11-1-1−i−iii−i−iii-11
χ1111-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-1-11i−i-1-111ii−i−i−i−iii-11
χ1211-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii-1-111−i−iii−i−iii-1-1-1-11111-11−ii-1-111−i−iiiii−i−i1-1
χ1311-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−i11-1-1ii−i−iii−i−i1111-1-1-1-1-11−ii-1-111−i−iiiii−i−i-11
χ1411-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−i-1-111ii−i−iii−i−i-1-1-1-11111-11i−i-1-111ii−i−i−i−iii1-1
χ1511-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−ii11-1-1−i−iii−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii1-1
χ1611-11-1-11-1111-11-1111-1-1-1-111-1-1-11-1111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−ii-1-111−i−iii−i−iii-1-1-1-111111-1i−i11-1-1ii−i−iii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ19222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-21111-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-1222222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ23222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-11111000000000000−i3i3−i3i30000000000
χ24222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2000000−i3i3−i3i31111−i3−i3i3i3−i3−i3i3i3-2-22200001111-1-1-1-1000000000000i3−i3i3−i30000000000
χ25222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-11111000000000000i3−i3i3−i30000000000
χ26222222222-1-2-2-2-222-122-1-12-12-1-1-12-1-1-1-1-1-1-1-1-211-2-211-2000000i3−i3i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-1000000000000−i3i3−i3i30000000000
χ2722222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2822222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2922222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-1-2-21111-2-2-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ3022222222-122222-1-12-1-122-12-1222-1-1-1-1-1-1-1-1-1-122-1-122-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ3122-22-2-22-222-22-22222-2-2-2-222-2-2-22-2222-2-2-22-2-2-2-22222-20000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ3222-22-2-22-222-22-22222-2-2-2-222-2-2-22-2222-2-2-22-2-2-2-22222-20000000000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ3322-22-2-22-22-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-21122i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii2i−2i2i−2i0000−i−iii−i−iii000000002-200-1-1110000000000
χ3422-22-2-22-22-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-21122i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii−2i2i−2i2i0000ii−i−iii−i−i00000000-220011-1-10000000000
χ3522-22-2-22-22-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-2112−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i2i−2i2i−2i0000−i−iii−i−iii00000000-220011-1-10000000000
χ3622-22-2-22-22-12-22-222-1-2-2112-1-211-1-2-1-1-1111-112-1-1-2-2112−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i−2i2i−2i2i0000ii−i−iii−i−i000000002-200-1-1110000000000
χ3722-22-2-22-22-1-22-2222-1-2-2112-1-211-1-2-1-1-1111-11-21122-1-1-20000003−3−3311-1-133−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i000000000000−i3i3i3−i30000000000
χ3822-22-2-22-22-1-22-2222-1-2-2112-1-211-1-2-1-1-1111-11-21122-1-1-20000003−3−3311-1-133−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii000000000000i3−i3−i3i30000000000
χ3922-22-2-22-22-1-22-2222-1-2-2112-1-211-1-2-1-1-1111-11-21122-1-1-2000000−333−311-1-1−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i000000000000i3−i3−i3i30000000000
χ4022-22-2-22-22-1-22-2222-1-2-2112-1-211-1-2-1-1-1111-11-21122-1-1-2000000−333−311-1-1−3−33333−3−3−2i2i2i−2i0000ii−i−i−i−iii000000000000−i3i3i3−i30000000000
χ4122-22-2-22-2-122-22-2-1-1211-2-2-121-2-221-1-1-1111-11-12211-2-2-12i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-11111002i−2i0000−i−iii000000
χ4222-22-2-22-2-122-22-2-1-1211-2-2-121-2-221-1-1-1111-11-12211-2-2-12i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii0000-2-222000000001111-1-1-1-100−2i2i0000ii−i−i000000
χ4322-22-2-22-2-122-22-2-1-1211-2-2-121-2-221-1-1-1111-11-12211-2-2-1−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i000022-2-200000000-1-1-1-1111100−2i2i0000ii−i−i000000
χ4422-22-2-22-2-122-22-2-1-1211-2-2-121-2-221-1-1-1111-11-12211-2-2-1−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i0000-2-222000000001111-1-1-1-1002i−2i0000−i−iii000000
χ452-222-2-2-22222-2-22-2-2-22-22222-2-2-2-222-2-222-22-222-22-22-2-200000000002-22-20000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000
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χ492-222-2-2-22-122-2-2211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-21003−33−30000-11-113−33−33−33−300002i−2i2i−2i00000000−i−iii−i−iii00000000−i3i3−i3i3000000
χ502-222-2-2-22-122-2-2211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-21003−33−30000-11-113−33−33−33−30000−2i2i−2i2i00000000ii−i−iii−i−i00000000i3−i3i3−i3000000
χ512-222-2-2-22-122-2-2211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-2100−33−330000-11-11−33−33−33−3300002i−2i2i−2i00000000−i−iii−i−iii00000000i3−i3i3−i3000000
χ522-222-2-2-22-122-2-2211-2-1122-121-2-2-2-1-111-1-11-11-12-2-112-2100−33−330000-11-11−33−33−33−330000−2i2i−2i2i00000000ii−i−iii−i−i00000000−i3i3−i3i3000000
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χ854-444-4-4-44-2-24-4-44222-22-2-2-2-22222-21-1-111-11-1-2-22-22-22200−2323−232300001-11-13−33−33−33−3000000000000000000000000000000000000000000
χ864-444-4-4-44-2-2-444-4222-22-2-2-2-22222-21-1-111-11-122-22-22-2-20000000000-11-113i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ874-444-4-4-44-2-2-444-4222-22-2-2-2-22222-21-1-111-11-122-22-22-2-20000000000-11-11−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ884-44-4-444-4440000-44-44-44-4-4-44-444-44-444-4-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-4-444-44-20000-4424-4-22-4242-2-2-4-22-2-2222-2000000000000000000000000000000000000000000−2i32i3−2i32i300000000000000000000000000
χ904-44-4-444-44-20000-4424-4-22-4242-2-2-4-22-2-2222-20000000000000000000000000000000000000000002i3−2i32i3−2i300000000000000000000000000
χ914-44-4-444-4-2400002-2-4-224-42-4-2-4442-22-2-2222-200000000000000000000000000000000000000000000006−6−666−6−66000000000000000000
χ924-44-4-444-4-2400002-2-4-224-42-4-2-4442-22-2-2222-20000000000000000000000000000000000000000000000−666−6−666−6000000000000000000
χ934-4-4444-4-44-244-4-4-4-42-44224-24-2-22-4-22222-2-2-24-22-442-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ944-4-4444-4-44-2-4-444-4-42-44224-24-2-22-4-22222-2-2-2-42-24-4-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-24-4-44422-42-2-4-4-24-244-42-22222-2-2-22-44-224-4-200000000002-2-2200000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-2-244-4-42222-222-2-2-2-2-2221-1-1-1-1111-2-222-22-2200−2i32i32i3−2i300001-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-244-4-42222-222-2-2-2-2-2221-1-1-1-1111-2-222-22-22002i3−2i3−2i32i300001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ984-4-4444-4-4-2-2-4-4442222-222-2-2-2-2-2221-1-1-1-111122-2-22-22-20000000000-111-13-3-33-333-3000000000000000000000000000000000000000000
χ994-4-4444-4-4-2-2-4-4442222-222-2-2-2-2-2221-1-1-1-111122-2-22-22-20000000000-111-1-333-33-3-33000000000000000000000000000000000000000000
χ1004-4-4-44-444440000-44-4-44-44-4-4-44-4444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-44-4444-20000-442-442-2-42-4-22-24-22-22-2-22200000000000000000000000000000000000000000023−23−232300000000000000000000000000
χ1024-4-4-44-4444-20000-442-442-2-42-4-22-24-22-22-2-222000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ1034-4-4-44-444-2400002-2-42-2-442-424-44-2-22-22-2-22200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ1044-4-4-44-444-2400002-2-42-2-442-424-44-2-22-22-2-2220000000000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ105888-88-8-8-8-4-40000-44-4-4-4-44444-444422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-40000-44-4444-444-44-44-422-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-888-8-4-400004-44-44-4444-44-4-442-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-400004-444-44-4444-44-4-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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