Finite Group Databasebeta

← Group #11868359

Character table — Group #11868359

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order1222334466666636661212121244412121212121212121212444881212121224242424412121212228822226644666666666612121212444121212121212121212124448812121212242424244121212122288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111111-11111-1-1-1-11111-111-1-1-1-1-1-11111111111111111111111-1-111111111111-11111-1-1-1-11111-111-1-1-1-1-1-1
χ61111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1
χ9222222-2-22222222222-2-2-2-22200000-2-20000-2000022-2-20000000000000222222-2-22222222222-2-2-2-22200000-2-20000-2000022-2-20000000000000
χ10222222-2-22222222222-2-2-2-2-2-200000-2-2000020000-2-2220000000000000222222-2-22222222222-2-2-2-2-2-200000-2-2000020000-2-2220000000000000
χ1122222-12222-1-12-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-120000-1-1-1-10000200-1-1000022222-12222-1-12-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-120000-1-1-1-10000200-1-10000
χ1222222-12222-1-12-1-1-1-1-12-1-1222-211-2-2-1-1111120000-1-1-1-10000-20011000022222-12222-1-12-1-1-1-1-12-1-1222-211-2-2-1-1111120000-1-1-1-10000-200110000
χ1322222-12222-1-12-1-1-1-1-12-1-12-2-22-1-122-1-1-1-1-1-1-2000011110000-20011000022222-12222-1-12-1-1-1-1-12-1-12-2-22-1-122-1-1-1-1-1-1-2000011110000-200110000
χ1422222-12222-1-12-1-1-1-1-12-1-12-2-2-211-2-2-1-11111-2000011110000200-1-1000022222-12222-1-12-1-1-1-1-12-1-12-2-2-211-2-2-1-11111-2000011110000200-1-10000
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χ1622222-1-2-222-1-12-1-1-1-1-1-211-2220i3−i30011i3i3−i3−i3-20000-1-1110000000i3−i3000022222-1-2-222-1-12-1-1-1-1-1-211-2220i3−i30011i3i3−i3−i3-20000-1-1110000000i3−i30000
χ1722222-1-2-222-1-12-1-1-1-1-1-211-2-2-20−i3i30011−i3−i3i3i32000011-1-10000000i3−i3000022222-1-2-222-1-12-1-1-1-1-1-211-2-2-20−i3i30011−i3−i3i3i32000011-1-10000000i3−i30000
χ1822222-1-2-222-1-12-1-1-1-1-1-211-2-2-20i3−i30011i3i3−i3−i32000011-1-10000000−i3i3000022222-1-2-222-1-12-1-1-1-1-1-211-2-2-20i3−i30011i3i3−i3−i32000011-1-10000000−i3i30000
χ192222-1222-1-122-12-1-1-1-1-122-100222-1-1-1-1-1-1-1-1022220000-1-1-1-10-1-10000002222-1222-1-122-12-1-1-1-1-122-100222-1-1-1-1-1-1-1-1022220000-1-1-1-10-1-1000000
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χ312-22-222002-2-2-2-2222-2-200002i−2i000000000000002−22i−2i002−22−20000000−i2i22-22-222002-2-2-2-2222-2-200002i−2i000000000000002−22i−2i002−22−20000000−i2i2
χ322-22-222002-2-2-2-2222-2-200002i−2i00000000000000−222i−2i00−22−220000000i2−i22-22-222002-2-2-2-2222-2-200002i−2i00000000000000−222i−2i00−22−220000000i2−i2
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χ342-22-222002-2-2-2-2222-2-20000−2i2i00000000000000−22−2i2i00−22−220000000−i2i22-22-222002-2-2-2-2222-2-20000−2i2i00000000000000−22−2i2i00−22−220000000−i2i2
χ354444-24-4-4-2-244-24-2-2-2-22-4-42000000022000000000000000000000000004444-24-4-4-2-244-24-2-2-2-22-4-4200000002200000000000000000000000000
χ364444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-211111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000
χ374444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000
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χ4044-4-44-24-4-44-22-42-22-224-22-40000000-220000000000000000000000000044-4-44-24-4-44-22-42-22-224-22-40000000-2200000000000000000000000000
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χ4244-4-4-244-42-24-42-4-22-22-24-420000000-220000000000000000000000000044-4-4-244-42-24-42-4-22-22-24-420000000-2200000000000000000000000000
χ4344-4-4-2-24-42-2-22221-11-1-2-22200000001-13i−3i−3i3i000000000000000000000044-4-4-2-24-42-2-22221-11-1-2-22200000001-13i−3i−3i3i0000000000000000000000
χ4444-4-4-2-24-42-2-22221-11-1-2-22200000001-1−3i3i3i−3i000000000000000000000044-4-4-2-24-42-2-22221-11-1-2-22200000001-1−3i3i3i−3i0000000000000000000000
χ4544-4-4-2-2-442-2-22221-11-122-2-20000023−23-11−33−33000000000000000000000044-4-4-2-2-442-2-22221-11-122-2-20000023−23-11−33−330000000000000000000000
χ4644-4-4-2-2-442-2-22221-11-122-2-200000−2323-113−33−3000000000000000000000044-4-4-2-2-442-2-22221-11-122-2-200000−2323-113−33−30000000000000000000000
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χ514-4-444400-4-4-444-44-4-440000000000000000000000000000000000000004-4-444400-4-4-444-44-4-44000000000000000000000000000000000000000
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χ534-4-444-200-4-42-242-222-2000000000000000000000000−232300000000000004-4-444-200-4-42-242-222-2000000000000000000000000−23230000000000000
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χ568-88-8-4-400-44444-422-2-20000000000000000000000000000000000000008-88-8-4-400-44444-422-2-2000000000000000000000000000000000000000
χ578-8-88-4-400444-4-442-2-220000000000000000000000000000000000000008-8-88-4-400444-4-442-2-22000000000000000000000000000000000000000
χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ59111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111
χ60111111111111111111111111-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1-1-1-111111-1-111-1-111
χ61111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-1-1-1-1-1-1-11111111-1-1
χ621111111111111111111111-1-111111111111-11111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1111111
χ631111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11111111111-1-1-1-1-111-1-1
χ651111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-11111-1-1-1-1-111-1-1-1-111
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χ8422-2-2-12-221-12-21-2-11-111-22-1000003−31-13−33−302i−2i000000−i3−i3i3i30−ii000000-2-2221-22-2-11-22-121-11-1-12-2100000−33-11−33−330−2i2i000000i3i3−i3−i30i−i000000
χ8522-2-2-12-221-12-21-2-11-111-22-1000003−31-13−33−30−2i2i000000i3i3−i3−i30i−i000000-2-2221-22-2-11-22-121-11-1-12-2100000−33-11−33−3302i−2i000000−i3−i3i3i30−ii000000
χ8622-2-2-12-221-12-21-2-11-111-22-100000−331-1−33−3302i−2i000000i3i3−i3−i30−ii000000-2-2221-22-2-11-22-121-11-1-12-21000003−3-113−33−30−2i2i000000−i3−i3i3i30i−i000000
χ8722-2-2-12-221-12-21-2-11-111-22-100000−331-1−33−330−2i2i000000−i3−i3i3i30i−i000000-2-2221-22-2-11-22-121-11-1-12-21000003−3-113−33−302i−2i000000i3i3−i3−i30−ii000000
χ882-22-222002-2-2-2-2222-2-200002i−2i000000000000002−22i−2i002−22−20000000−i2i2-22-22-2-200-22222-2-2-2220000−2i2i00000000000000−22−2i2i00−22−220000000i2−i2
χ892-22-222002-2-2-2-2222-2-200002i−2i00000000000000−222i−2i00−22−220000000i2−i2-22-22-2-200-22222-2-2-2220000−2i2i000000000000002−2−2i2i002−22−20000000−i2i2
χ902-22-222002-2-2-2-2222-2-20000−2i2i000000000000002−2−2i2i002−22−20000000i2−i2-22-22-2-200-22222-2-2-22200002i−2i00000000000000−222i−2i00−22−220000000−i2i2
χ912-22-222002-2-2-2-2222-2-20000−2i2i00000000000000−22−2i2i00−22−220000000−i2i2-22-22-2-200-22222-2-2-22200002i−2i000000000000002−22i−2i002−22−20000000i2−i2
χ924444-24-4-4-2-244-24-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-42-44422-4-42-42222-244-20000000-2-200000000000000000000000000
χ934444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200-42222-1-1-1-1-1-10000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-2-1-111110000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-211112222000−2i32i300-1-1i3i3−i3−i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20002i3−2i30011−i3−i3i3i30000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-2111122220002i3−2i300-1-1−i3−i3i3i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000−2i32i30011i3i3−i3−i30000000000000000000000
χ9744-4-44-24-4-44-22-42-22-224-22-40000000-2200000000000000000000000000-4-444-42-444-42-24-22-22-2-42-2400000002-200000000000000000000000000
χ9844-4-44-2-44-44-22-42-22-22-42-2400000002-200000000000000000000000000-4-444-424-44-42-24-22-22-24-22-40000000-2200000000000000000000000000
χ9944-4-4-244-42-24-42-4-22-22-24-420000000-2200000000000000000000000000-4-4442-4-44-22-44-242-22-22-44-200000002-200000000000000000000000000
χ10044-4-4-2-24-42-2-22221-11-1-2-22200000001-13i−3i−3i3i0000000000000000000000-4-44422-44-222-2-2-2-11-1122-2-20000000-11−3i3i3i−3i0000000000000000000000
χ10144-4-4-2-24-42-2-22221-11-1-2-22200000001-1−3i3i3i−3i0000000000000000000000-4-44422-44-222-2-2-2-11-1122-2-20000000-113i−3i−3i3i0000000000000000000000
χ10244-4-4-2-2-442-2-22221-11-122-2-20000023−23-11−33−330000000000000000000000-4-444224-4-222-2-2-2-11-11-2-22200000−23231-13−33−30000000000000000000000
χ10344-4-4-2-2-442-2-22221-11-122-2-200000−2323-113−33−30000000000000000000000-4-444224-4-222-2-2-2-11-11-2-2220000023−231-1−33−330000000000000000000000
χ1044-44-44-2004-422-4-2-2-22200004i−4i0000000000000000−2i2i000000000000000-44-44-4200-44-2-24222-2-20000−4i4i00000000000000002i−2i000000000000000
χ1054-44-44-2004-422-4-2-2-2220000−4i4i00000000000000002i−2i000000000000000-44-44-4200-44-2-24222-2-200004i−4i0000000000000000−2i2i000000000000000
χ1064-44-4-2400-22-4-424-2-2220000000000000000000022−220000−22−22000000000-44-442-4002-244-2-422-2-200000000000000000000−222200002−22−2000000000
χ1074-44-4-2400-22-4-424-2-22200000000000000000000−222200002−22−2000000000-44-442-4002-244-2-422-2-20000000000000000000022−220000−22−22000000000
χ1084-4-444400-4-4-444-44-4-44000000000000000000000000000000000000000-444-4-4-400444-4-44-444-4000000000000000000000000000000000000000
χ1094-4-444-200-4-42-242-222-200000000000000000000000023−230000000000000-444-4-420044-22-4-22-2-22000000000000000000000000−23230000000000000
χ1104-4-444-200-4-42-242-222-2000000000000000000000000−23230000000000000-444-4-420044-22-4-22-2-2200000000000000000000000023−230000000000000
χ1114-4-44-240022-44-2-4-222-200000000000000000000000000i6−i6−i6i6000000000-444-42-400-2-24-4242-2-2200000000000000000000000000−i6i6i6−i6000000000
χ1124-4-44-240022-44-2-4-222-200000000000000000000000000−i6i6i6−i6000000000-444-42-400-2-24-4242-2-2200000000000000000000000000i6−i6−i6i6000000000
χ1138-88-8-4-400-44444-422-2-2000000000000000000000000000000000000000-88-8844004-4-4-4-44-2-222000000000000000000000000000000000000000
χ1148-8-88-4-400444-4-442-2-22000000000000000000000000000000000000000-888-84400-4-4-444-4-222-2000000000000000000000000000000000000000

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