Finite Group Databasebeta

← Group #13150836

Character table — Group #13150836

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222446666666666661212121212121212121218181818181818181818181836363636363636363636363611112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order122234466612123366666612121212366612121212121222446666121212122244666612121212222264466612126666666612121212666612121212121222446666121212122244666612121212
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χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-11111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1
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χ8022-2-22−2i2i2-2-2−2i2i222-22-2-2-2−2i−2i2i2i22-2-2−2i2i−2i−2i2i2i000000000000000000000000-2-222-22i−2i-2222i−2i-2-2-22-22222i2i−2i−2i-2-2222i−2i2i2i−2i−2i000000000000000000000000
χ8122-2-22−2i2i2-2-2−2i2i2-12-2-111-2−2i−2i2i2i-1-111i−iii−i−i000000000000000000−i3i300−33-2-222-22i−2i-2222i−2i-21-221-1-122i2i−2i−2i11-1-1−ii−i−iii000000000000000000i3−i3003−3
χ8222-2-22−2i2i2-2-2−2i2i2-12-2-111-2−2i−2i2i2i-1-111i−iii−i−i000000000000000000i3−i3003−3-2-222-22i−2i-2222i−2i-21-221-1-122i2i−2i−2i11-1-1−ii−i−iii000000000000000000−i3i300−33
χ8322-2-22−2i2i2-2-2−2i2i-12-112-2-21ii−i−i-1-111−2i2iii−i−i0000−i3−i3i3i3−3−333000000000000-2-222-22i−2i-2222i−2i1-21-1-222-1−i−iii11-1-12i−2i−i−iii0000i3i3−i3−i333−3−3000000000000
χ8422-2-22−2i2i2-2-2−2i2i-12-112-2-21ii−i−i-1-111−2i2iii−i−i0000i3i3−i3−i333−3−3000000000000-2-222-22i−2i-2222i−2i1-21-1-222-1−i−iii11-1-12i−2i−i−iii0000−i3−i3i3i3−3−333000000000000
χ852-22-2200-22-20022-2-2-22-2200002-2-22000000002-200002-22-2000000000000-22-22-2002-2200-2-2222-22-20000-222-200000000-220000-22-22000000000000
χ862-22-2200-22-20022-2-2-22-2200002-2-2200000000-220000-22-22000000000000-22-22-2002-2200-2-2222-22-20000-222-2000000002-200002-22-2000000000000
χ872-22-2200-22-200-1211-22-2-1−i3i3−i3i3-111-100−i3i3−i3i3002-2−i3i3−i3i3-11-11000000000000-22-22-2002-22001-2-1-12-221i3−i3i3−i31-1-1100i3−i3i3−i300-22i3−i3i3−i31-11-1000000000000
χ882-22-2200-22-200-1211-22-2-1−i3i3−i3i3-111-100−i3i3−i3i300-22i3−i3i3−i31-11-1000000000000-22-22-2002-22001-2-1-12-221i3−i3i3−i31-1-1100i3−i3i3−i3002-2−i3i3−i3i3-11-11000000000000
χ892-22-2200-22-200-1211-22-2-1i3−i3i3−i3-111-100i3−i3i3−i3002-2i3−i3i3−i3-11-11000000000000-22-22-2002-22001-2-1-12-221−i3i3−i3i31-1-1100−i3i3−i3i300-22−i3i3−i3i31-11-1000000000000
χ902-22-2200-22-200-1211-22-2-1i3−i3i3−i3-111-100i3−i3i3−i300-22−i3i3−i3i31-11-1000000000000-22-22-2002-22001-2-1-12-221−i3i3−i3i31-1-1100−i3i3−i3i3002-2i3−i3i3−i3-11-11000000000000
χ912-2-22200-2-220022-22-2-22-200002-22-20000002-2002-2-220000000000000000-222-2-20022-200-2-22-222-220000-22-22000000-2200-222-20000000000000000
χ922-2-22200-2-220022-22-2-22-200002-22-2000000-2200-222-20000000000000000-222-2-20022-200-2-22-222-220000-22-220000002-2002-2-220000000000000000
χ932-2-22200-2-2200-121-1-2-2213−3−33-11-11003−3−332-200-111-13−3−33000000000000-222-2-20022-2001-2-1122-2-1−333−31-11-100−333−3-22001-1-11−333−3000000000000
χ942-2-22200-2-2200-121-1-2-2213−3−33-11-11003−3−33-22001-1-11−333−3000000000000-222-2-20022-2001-2-1122-2-1−333−31-11-100−333−32-200-111-13−3−33000000000000
χ952-2-22200-2-2200-121-1-2-221−333−3-11-1100−333−32-200-111-1−333−3000000000000-222-2-20022-2001-2-1122-2-13−3−331-11-1003−3−33-22001-1-113−3−33000000000000
χ962-2-22200-2-2200-121-1-2-221−333−3-11-1100−333−3-22001-1-113−3−33000000000000-222-2-20022-2001-2-1122-2-13−3−331-11-1003−3−332-200-111-1−333−3000000000000
χ97444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-122-1-1-1-1000000000000000000000000
χ9844444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000-4-4-4-4-444-4-4-44422222222-2-2-2-2-1-1-1-1-2-21111000000000000000000000000
χ9944-4-444i−4i4-4-44i−4i-2-2-22-2222−2i−2i2i2i11-1-1−2i2iii−i−i000000000000000000000000-4-444-4−4i4i-444−4i4i222-22-2-2-22i2i−2i−2i-1-1112i−2i−i−iii000000000000000000000000
χ10044-4-44−4i4i4-4-4−4i4i-2-2-22-22222i2i−2i−2i11-1-12i−2i−i−iii000000000000000000000000-4-444-44i−4i-4444i−4i222-22-2-2-2−2i−2i2i2i-1-111−2i2iii−i−i000000000000000000000000
χ1014-44-4400-44-4004-2-4-42-2240000-222-2000000000000000000000000000000-44-44-4004-4400-4244-22-2-400002-2-22000000000000000000000000000000
χ1024-44-4400-44-400-2-2222-22-2−2i32i3−2i32i31-1-1100i3−i3i3−i3000000000000000000000000-44-44-4004-440022-2-2-22-222i3−2i32i3−2i3-111-100−i3i3−i3i3000000000000000000000000
χ1034-44-4400-44-400-2-2222-22-22i3−2i32i3−2i31-1-1100−i3i3−i3i3000000000000000000000000-44-44-4004-440022-2-2-22-22−2i32i3−2i32i3-111-100i3−i3i3−i3000000000000000000000000
χ1044-4-44400-4-44004-2-4422-2-40000-22-22000000000000000000000000000000-444-4-40044-400-424-4-2-22400002-22-2000000000000000000000000000000
χ1054-4-44400-4-4400-2-22-222-2223−23−23231-11-100−333−3000000000000000000000000-444-4-40044-40022-22-2-22-2−232323−23-11-11003−3−33000000000000000000000000
χ1064-4-44400-4-4400-2-22-222-22−232323−231-11-1003−3−33000000000000000000000000-444-4-40044-40022-22-2-22-223−23−2323-11-1100−333−3000000000000000000000000
χ1076666-366-3-3-3-3-300000000000000000000000000000000002020-1-100-1-100-6-6-6-63-6-6333330000000000000000000000000000000000-20-2011001100
χ1086666-366-3-3-3-3-30000000000000000000000000000000000-20-2011001100-6-6-6-63-6-63333300000000000000000000000000000000002020-1-100-1-100
χ1096666-3-6-6-3-3-333000000000000000000000000000000000020-20-1-1001100-6-6-6-6366333-3-30000000000000000000000000000000000-20201100-1-100
χ1106666-3-6-6-3-3-3330000000000000000000000000000000000-20201100-1-100-6-6-6-6366333-3-3000000000000000000000000000000000020-20-1-1001100
χ11166-6-6-36i−6i-333−3i3i00000000000000000000000000000000000000−i3i3003−300-6-6663−6i6i3-3-33i−3i00000000000000000000000000000000000000i3−i300−3300
χ11266-6-6-36i−6i-333−3i3i00000000000000000000000000000000000000i3−i300−3300-6-6663−6i6i3-3-33i−3i00000000000000000000000000000000000000−i3i3003−300
χ11366-6-6-3−6i6i-3333i−3i00000000000000000000000000000000000000−i3i300−3300-6-66636i−6i3-3-3−3i3i00000000000000000000000000000000000000i3−i3003−300
χ11466-6-6-3−6i6i-3333i−3i00000000000000000000000000000000000000i3−i3003−300-6-66636i−6i3-3-3−3i3i00000000000000000000000000000000000000−i3i300−3300
χ11512-1212-12-6006-66000000000000000000000000000000000000000000000000-1212-1212600-66-6000000000000000000000000000000000000000000000000
χ11612-12-1212-60066-6000000000000000000000000000000000000000000000000-121212-12600-6-66000000000000000000000000000000000000000000000000

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