Finite Group Databasebeta

← Group #11786837

Character table — Group #11786837

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444444441212121212121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ911-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−i11-1-1i−i
χ1011-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii-1-111−ii
χ1111-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111ii−i−i-1-111−ii
χ1211-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111−i−iii11-1-1i−i
χ1311-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111−i−iii-1-111i−i
χ1411-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111ii−i−i11-1-1−ii
χ1511-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii11-1-1−ii
χ1611-1-111-1-1111-11-1111-1-1-1-1-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−i-1-111i−i
χ172222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000022220000000000000000-2-2
χ182222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000000022
χ19222222222-1222222-1222-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ20222222222-1222222-1222-1-1-12-1-1-12-12222-1-1-1-1-1-1-12-1-122-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ21222222222-1222222-1222-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-11111-2-2-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ22222222222-1222222-1222-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12-1-122-12-11111-2-2-2-2-1-1-1-111111111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2322222222-122222-1-12-1-1-1222-1222-1-12222-1-1-1-1-1-1-1-122-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ2422222222-122222-1-12-1-1-1222-1222-1-12222-1-1-1-1-1-1-1-122-1-12-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ2522222222-122222-1-12-1-1-1222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2622222222-122222-1-12-1-1-1222-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-12-12-2-2-2-21111-1-1-1-1111111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ2722-2-222-2-222-22-22222-2-2-2-2-2-222-22-22000022-2-2-22-2-2-2-2222-2200000000-2-222000000000000000000000000000000002i2i−2i−2i0000000000000000−2i2i
χ2822-2-222-2-222-22-22222-2-2-2-2-2-222-22-22000022-2-2-22-2-2-2-2222-2200000000-2-22200000000000000000000000000000000−2i−2i2i2i00000000000000002i−2i
χ2922-2-222-2-22-12-22-222-1-2-2-21112-11-1-2-12i2i−2i−2i-1-1111-112-1-1-2-2121−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii0000000000002-200-1-1110000000000
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χ3222-2-222-2-22-12-22-222-1-2-2-21112-11-1-2-1−2i−2i2i2i-1-1111-112-1-1-2-2121ii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i0000000000002-200-1-1110000000000
χ3322-2-222-2-2-122-22-2-1-12111-2-2-2-12-221-12i2i−2i−2i-1-1111-11-12211-2-1-22i2i−2i−2i−i−iii-1-111−i−i−i−iiiii000022-2-200000000-1-1-1-111110000002i−2i0000−i−iii000000
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χ3522-2-222-2-2-122-22-2-1-12111-2-2-2-12-221-1−2i−2i2i2i-1-1111-11-12211-2-1-2−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i000022-2-200000000-1-1-1-11111000000−2i2i0000ii−i−i000000
χ3622-2-222-2-2-122-22-2-1-12111-2-2-2-12-221-1−2i−2i2i2i-1-1111-11-12211-2-1-2−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i0000-2-222000000001111-1-1-1-10000002i−2i0000−i−iii000000
χ372-2222-2-2-22222-2-2-2-2-222-222-222-2-2-220000-2-222-22-222-22-22-2-2000000002-22-20000000000000000000000000000000000000000000000002-22-200
χ382-2222-2-2-22222-2-2-2-2-222-222-222-2-2-220000-2-222-22-222-22-22-2-2000000002-22-2000000000000000000000000000000000000000000000000-22-2200
χ392-2222-2-2-222-2-222-2-2-222-222-222-2-2-222i−2i2i−2i-2-222-22-2-2-22-22-2222i−2i2i−2i2i−2i2i−2i-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ402-2222-2-2-222-2-222-2-2-222-222-222-2-2-22−2i2i−2i2i-2-222-22-2-2-22-22-222−2i2i−2i2i−2i2i−2i2i-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000
χ412-2222-2-2-22-1-2-222-2-2122-2-1-112-111-2-12i−2i2i−2i11-1-11-11-21-1-2212-1−ii−ii2i−2i2i−2i1-11-1−i−iii−i−iii00000000−i3−i3i3i3−i3−i3i3i300000000000000003−33−30000000000
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χ432-2222-2-2-22-1-2-222-2-2122-2-1-112-111-2-1−2i2i−2i2i11-1-11-11-21-1-2212-1i−ii−i−2i2i−2i2i1-11-1ii−i−iii−i−i00000000−i3−i3i3i3−i3−i3i3i30000000000000000−33−330000000000
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χ482-2222-2-2-2-12-2-22211-2-1-1122-2-12-2-21-1−2i2i−2i2i11-1-11-111-221-1-2-12−2i2i−2i2ii−ii−i1-11-1ii−i−iii−i−i0000000000000000i3i3−i3−i3i3i3−i3−i30000000000003−33−3000000
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χ8444-44-4-44-4-2400002-242-2-2-4442-4-4-42-200002-22-2-22200000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000
χ8544-4-444-4-44-2-44-4444-2-4-4-42224-22-2-4-20000-2-2222-22-42244-2-4-20000000022-2-2000000000000000000000000000000000000000000000000000000
χ8644-4-444-4-4-24-44-44-2-24222-4-4-4-24-442-20000-2-2222-222-4-4-2-24240000000022-2-2000000000000000000000000000000000000000000000000000000
χ8744-4-444-4-4-2-24-44-4-2-2-2222222-2-22-2214i4i−4i−4i11-1-1-11-1-2-2-2222-22−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000000000000000000000000000000000000000
χ8844-4-444-4-4-2-24-44-4-2-2-2222222-2-22-221−4i−4i4i4i11-1-1-11-1-2-2-2222-222i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000000000000000000000000000000000
χ8944-4-444-4-4-2-2-44-44-2-2-2222222-2-22-221000011-1-1-11-1222-2-2-22-200000000-1-1113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000000000
χ9044-4-444-4-4-2-2-44-44-2-2-2222222-2-22-221000011-1-1-11-1222-2-2-22-200000000-1-111−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000000000
χ914-4444-4-4-44-244-4-4-4-4244-4-2-224-222-4-2000022-2-22-224-224-4-2-4200000000-22-22000000000000000000000000000000000000000000000000000000
χ924-4444-4-4-4-2444-4-422-4-2-2244-4-24-4-42-2000022-2-22-22-24-4-2242-400000000-22-22000000000000000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-244-4-4222-2-22-2-22-2-222210000-1-111-11-1-2-22-22-222000000001-11-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000
χ944-4444-4-4-4-2-244-4-4222-2-22-2-22-2-222210000-1-111-11-1-2-22-22-222000000001-11-1−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000000000
χ954-4444-4-4-4-2-2-4-444222-2-22-2-22-2-222214i−4i4i−4i-1-111-11-122-22-22-2-2−2i2i−2i2i−2i2i−2i2i-11-11ii−i−iii−i−i0000000000000000000000000000000000000000000000
χ964-4444-4-4-4-2-2-4-444222-2-22-2-22-2-22221−4i4i−4i4i-1-111-11-122-22-22-2-22i−2i2i−2i2i−2i2i−2i-11-11−i−iii−i−iii0000000000000000000000000000000000000000000000
χ974-44-4-444-44-200004-424-44-22-2-422-2-4-20000-22-22-2220000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000
χ984-44-4-444-44-200004-424-44-22-2-422-2-4-20000-22-22-22200000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000
χ994-44-4-444-4-240000-22-4-22-24-442-4-442-20000-22-22-2220000000000000000000000000000000022−2222−2200000000−22−22−22−220000000000000000000000
χ1004-44-4-444-4-240000-22-4-22-24-442-4-442-20000-22-22-22200000000000000000000000000000000−2222−2222000000002−22−22−22−20000000000000000000000
χ1014-4-44-44-444-200004-42-44-42-22-42-2-24-20000-222-222-2000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000000000
χ1024-4-44-44-444-200004-42-44-42-22-42-2-24-20000-222-222-20000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000000000
χ1034-4-44-44-44-240000-22-42-22-44-42-444-2-20000-222-222-20000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000000000
χ1044-4-44-44-44-240000-22-42-22-44-42-444-2-20000-222-222-200000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000000000
χ1054-4-4-44-4444-24-4-44-4-42-4-4422-24-2-224-200002222-2-2-24-22-442-4-200000000-222-2000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-444-244-4-4422-422-2-4-44-244-4-2-200002222-2-2-2-24-42-2-42400000000-222-2000000000000000000000000000000000000000000000000000000
χ1074-4-4-44-444-2-24-4-4422222-222-2-2-2-22-210000-1-1-1-1111-2-222-222-2000000001-1-113-3-33-333-30000000000000000000000000000000000000000000000
χ1084-4-4-44-444-2-24-4-4422222-222-2-2-2-22-210000-1-1-1-1111-2-222-222-2000000001-1-11-333-33-3-330000000000000000000000000000000000000000000000
χ1094-4-4-44-444-2-2-444-422222-222-2-2-2-22-214-4-44-1-1-1-111122-2-22-2-22-222-2-222-2-111-111-1-1-1-1110000000000000000000000000000000000000000000000
χ1104-4-4-44-444-2-2-444-422222-222-2-2-2-22-21-444-4-1-1-1-111122-2-22-2-222-2-222-2-22-111-1-1-11111-1-10000000000000000000000000000000000000000000000
χ111888-8-8-8-88-4-400004-4-4-444-44444-44-420000-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-8-4-400004-4-44-4-44-4-44444420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-8-4-40000-444-44-4-44-4444-44200002-22-22-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-88-4-40000-4444-444-4444-4-4-4200002-2-22-2-2200000000000000000000000000000000000000000000000000000000000000000000000000

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