Finite Group Databasebeta

← Group #11789872

Character table — Group #11789872

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
χ911-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−i11-1-11-1
χ1011-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i-1-111-11
χ1111-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−ii−i−iiii−i−i−i−iii-1-111-11
χ1211-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii11-1-11-1
χ1311-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii11-1-1-11
χ1411-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111i−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii-1-1111-1
χ1511-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i−iii−i−i−iiiii−i−i-1-1111-1
χ1611-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiiii−ii−iii−i−iii−i−i11-1-1-11
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
χ19222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000220000-1-1-1-1000000
χ20222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000-2-200001111000000
χ21222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-211-2-211-1-1-1-11111111122220000-1-1-1-1-1-1-1-10000000000-2-200001111000000
χ22222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-211-2-211-1-1-1-111111111-2-2-2-20000111111110000000000220000-1-1-1-1000000
χ23222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-20000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-111110000000000000000−i3i3−i3i3000000
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χ25222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-111110000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-20000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-10000000000000000−i3i3−i3i3000000
χ2722222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12200-1-1-1-10000000000
χ2822222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-20011110000000000
χ2922222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1-2-211-2-211-2-2-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1-2-20011110000000000
χ3022222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1-2-211-2-211-2-2-1-1-1-1111111110000-2-2-2-200000000111111112200-1-1-1-10000000000
χ3122-22-2-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-222220000000000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
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χ3322-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22-222-1-1-2-211-1-111-1-1-1-111112i−2i2i−2i0000−i−iii−i−iii00000000002i−2i0000−i−iii000000
χ3422-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22-222-1-1-2-211-1-111-1-1-1-11111−2i2i−2i2i0000ii−i−iii−i−i0000000000−2i2i0000ii−i−i000000
χ3522-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2-22-2-21122-1-1-1-1111111-1-1-1-12i−2i2i−2i0000−i−iii−i−iii0000000000−2i2i0000ii−i−i000000
χ3622-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2-22-2-21122-1-1-1-1111111-1-1-1-1−2i2i−2i2i0000ii−i−iii−i−i00000000002i−2i0000−i−iii000000
χ3722-22-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-120000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i32i−2i−2i2i0000−i−iiiii−i−i00000000000000003−3−33000000
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χ4422-22-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21-2211-2-2-1-122-1-1111111-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i2i−2i00−i−iii0000000000
χ452-22-2-22-22222-22-2-2-22-2-22222-2-2-22-22-222-2-22-22-22-2-22-2200000000002-22-2000000000000000000000000000000000000000000002i−2i2i−2i00
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χ512-22-2-22-22-12-22-221-2-11122-121-2-2-1-2-11-1-111-111-1-22-1-22100−3300−33001-11-1−33−33−33−3300002i−2i2i−2i00000000−i−iii−i−iii0000i3−i3i3−i30000000000
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χ894-44-4-44-44-2-24-44-422-222-2-2-2-2222-221-111-1-11-1-22-222-22-200000000001-11-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ904-44-4-44-44-2-24-44-422-222-2-2-2-2222-221-111-1-11-1-22-222-22-200000000001-11-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ914-44-4-44-44-2-2-44-4422-222-2-2-2-2222-221-111-1-11-12-22-2-22-220023−230023−2300-11-11−33−33−33−33000000000000000000000000000000000000000000
χ924-44-4-44-44-2-2-44-4422-222-2-2-2-2222-221-111-1-11-12-22-2-22-2200−232300−232300-11-113−33−33−33−3000000000000000000000000000000000000000000
χ934-4-44-444-4440000-4-4-44-4-44-4-444-4444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-444-44-20000-42-44-42-2-424-224-2-222-2-222-2000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ954-4-44-444-44-20000-42-44-42-2-424-224-2-222-2-222-20000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ964-4-44-444-4-2400002-42-22-442-4-24-4-24-222-2-222-20000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ974-4-44-444-4-2400002-42-22-442-4-24-4-24-222-2-222-20000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ984-4-4-44-4444-244-4-4-42-444224-2-42-2-4-2-2222-2-2-224-4-2242-2-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-44-4444-2-4-444-42-444224-2-42-2-4-2-2222-2-2-22-442-2-4-22400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-44-444-2444-4-42-42-2-2-4-4-242-4424-2222-2-2-22-224-4-2-4420000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-244-4-4222-2-222-2-222-22-21-1-1-1111-1-22-22-22-2200000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1024-4-4-44-444-2-244-4-4222-2-222-2-222-22-21-1-1-1111-1-22-22-22-2200000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1034-4-4-44-444-2-2-4-444222-2-222-2-222-22-21-1-1-1111-12-22-22-22-20023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000000000
χ1044-4-4-44-444-2-2-4-444222-2-222-2-222-22-21-1-1-1111-12-22-22-22-200−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000000000
χ105888-8-8-88-8-4-40000-4-4-4-44-44444444-4222-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-40000-4-444-44-44444-4-4422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-4000044-44-4-4444-4-4-4442-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-888-8-4-40000444-444-444-4-44-4-42-2-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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