Finite Group Databasebeta

← Group #11868262

Character table — Group #11868262

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444448888888888121212121212121212121212181824242424242436363611112222222222444444444488888888881212121212121212121212121818242424242424363636
order1222334466666634466612121212121212121212121212128888242424242424242444441212121222422226644666666644666121212121212121212121212121288882424242424242424444412121212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-11111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ5111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1
χ7111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-111-1111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-111-1
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11
χ9222222-2-2222222200222-2-2-2-20000-2-200000000000000002200000000-2222222-2-2222222200222-2-2-2-20000-2-200000000000000002200000000-2
χ10222222-2-2222222200222-2-2-2-20000-2-20000000000000000-2-2000000002222222-2-2222222200222-2-2-2-20000-2-20000000000000000-2-2000000002
χ1122222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-100022222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-1000
χ1222222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-2001100022222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-20011000
χ1322222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100220000-1-1-1-1000-2001100022222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100220000-1-1-1-1000-20011000
χ1422222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100-2-200001111000200-1-100022222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100-2-200001111000200-1-1000
χ152222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-1000002222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-100000
χ162222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-1-2-2001111000000-2011000002222-1222-12-12-12-122-1-1-1-12-12-1-122-1-1-1-1-1-1-2-2001111000000-201100000
χ172222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-111112200-1-1-1-1000000-2011000002222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-111112200-1-1-1-1000000-201100000
χ182222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-11111-2-200111100000020-1-1000002222-1222-12-12-12-1-2-2-1-1-1-12-1211-2-2-1-11111-2-200111100000020-1-100000
χ1922-2-2222-2-2-222-2-2200-22-222-2-200002-20000000000000000000000002-2022-2-2222-2-2-222-2-2200-22-222-2-200002-20000000000000000000000002-20
χ2022-2-2222-2-2-222-2-2200-22-222-2-200002-2000000000000000000000000-22022-2-2222-2-2-222-2-2200-22-222-2-200002-2000000000000000000000000-220
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χ2722-2-2-12-221-2-121-2-12i−2i1-111-2-12−ii2i−2i1-1−i−iii0000−i3−i3i3i3000000003−30000022-2-2-12-221-2-121-2-12i−2i1-111-2-12−ii2i−2i1-1−i−iii0000−i3−i3i3i3000000003−300000
χ2822-2-2-12-221-2-121-2-12i−2i1-111-2-12−ii2i−2i1-1−i−iii0000i3i3−i3−i300000000−330000022-2-2-12-221-2-121-2-12i−2i1-111-2-12−ii2i−2i1-1−i−iii0000i3i3−i3−i300000000−3300000
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χ3022-2-2-12-221-2-121-2-1−2i2i1-111-2-12i−i−2i2i1-1ii−i−i0000i3i3−i3−i3000000003−30000022-2-2-12-221-2-121-2-1−2i2i1-111-2-12i−i−2i2i1-1ii−i−i0000i3i3−i3−i3000000003−300000
χ312-2-222200-2-2-2-222200-2-22000000000000002−22−22−22−22−22−22-20000000002-2-222200-2-2-2-222200-2-22000000000000002−22−22−22−22−22−22-2000000000
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χ342-2-222200-2-2-2-222200-2-2200000000000000−22−22−22−22−22−222-20000000002-2-222200-2-2-2-222200-2-2200000000000000−22−22−22−22−22−222-2000000000
χ3544444-2-4-44-24-24-2-200-2-2-2-42-4200002200000000000000000000000000044444-2-4-44-24-24-2-200-2-2-2-42-42000022000000000000000000000000000
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χ374444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2111111000000000000000000000004444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000
χ384444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-1000000000000000000000004444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-100000000000000000000000
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χ404444-2-2-4-4-2-2-2-2-2-210011122220000-1-1-33-33000000000000000000000004444-2-2-4-4-2-2-2-2-2-210011122220000-1-1-33-3300000000000000000000000
χ4144-4-44-24-4-424-2-42-2002-224-2-420000-2200000000000000000000000000044-4-44-24-4-424-2-42-2002-224-2-420000-22000000000000000000000000000
χ4244-4-4-244-42-4-242-4-2002-22-242-40000-2200000000000000000000000000044-4-4-244-42-4-242-4-2002-22-242-40000-22000000000000000000000000000
χ4344-4-4-2-24-422-2-222100-11-1-2-22200001-13i−3i−3i3i0000000000000000000000044-4-4-2-24-422-2-222100-11-1-2-22200001-13i−3i−3i3i00000000000000000000000
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χ4544-4-4-2-2-4422-2-22214i−4i-11-122-2-2−2i2i−2i2i-11ii−i−i0000000000000000000000044-4-4-2-2-4422-2-22214i−4i-11-122-2-2−2i2i−2i2i-11ii−i−i00000000000000000000000
χ4644-4-4-2-2-4422-2-2221−4i4i-11-122-2-22i−2i2i−2i-11−i−iii0000000000000000000000044-4-4-2-2-4422-2-2221−4i4i-11-122-2-22i−2i2i−2i-11−i−iii00000000000000000000000
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χ524-4-444-200-42-424-2-20022-2000000000000000022−220000−22−22000000000004-4-444-200-42-424-2-20022-2000000000000000022−220000−22−2200000000000
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χ568-88-8-4-400-4-444442002-2-200000000000000000000000000000000000008-88-8-4-400-4-444442002-2-20000000000000000000000000000000000000
χ578-8-88-4-4004444-4-4200-2-2200000000000000000000000000000000000008-8-88-4-4004444-4-4200-2-220000000000000000000000000000000000000
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
χ59111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111111
χ601111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1111
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1
χ62111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
χ63111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111111-111-1-1-1-11
χ64111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-111-11-1-111-1-11
χ65111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-111-1
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χ6822222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-1000-2-2-2-2-21-2-2-21-21-211-2-2111-21-21-2-21111111100-2-200001111000-20011000
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χ8322-2-22-1-22-212-1-21-1−2i2i1-11-212-1−2i2ii−i1-1ii−i−i00000000i3i3−i3−i30000003−3000-2-222-212-22-1-212-112i−2i-11-12-1-212i−2i−ii-11−i−iii00000000−i3−i3i3i3000000−33000
χ8422-2-2-12-221-2-121-2-12i−2i1-111-2-12−ii2i−2i1-1−i−iii0000−i3−i3i3i3000000003−300000-2-2221-22-2-121-2-121−2i2i-11-1-121-2i−i−2i2i-11ii−i−i0000i3i3−i3−i300000000−3300000
χ8522-2-2-12-221-2-121-2-12i−2i1-111-2-12−ii2i−2i1-1−i−iii0000i3i3−i3−i300000000−3300000-2-2221-22-2-121-2-121−2i2i-11-1-121-2i−i−2i2i-11ii−i−i0000−i3−i3i3i3000000003−300000
χ8622-2-2-12-221-2-121-2-1−2i2i1-111-2-12i−i−2i2i1-1ii−i−i0000−i3−i3i3i300000000−3300000-2-2221-22-2-121-2-1212i−2i-11-1-121-2−ii2i−2i-11−i−iii0000i3i3−i3−i3000000003−300000
χ8722-2-2-12-221-2-121-2-1−2i2i1-111-2-12i−i−2i2i1-1ii−i−i0000i3i3−i3−i3000000003−300000-2-2221-22-2-121-2-1212i−2i-11-1-121-2−ii2i−2i-11−i−iii0000−i3−i3i3i300000000−3300000
χ882-2-222200-2-2-2-222200-2-22000000000000002−22−22−22−22−22−22-2000000000-222-2-2-2002222-2-2-20022-200000000000000−22−22−22−22−22−22-22000000000
χ892-2-222200-2-2-2-222200-2-22000000000000002−2−222−22−2−22−22-22000000000-222-2-2-2002222-2-2-20022-200000000000000−222−2−22−222−22−22-2000000000
χ902-2-222200-2-2-2-222200-2-2200000000000000−222−2−22−222−22−2-22000000000-222-2-2-2002222-2-2-20022-2000000000000002−2−222−22−2−22−222-2000000000
χ912-2-222200-2-2-2-222200-2-2200000000000000−22−22−22−22−22−222-2000000000-222-2-2-2002222-2-2-20022-2000000000000002−22−22−22−22−22−2-22000000000
χ9244444-2-4-44-24-24-2-200-2-2-2-42-42000022000000000000000000000000000-4-4-4-4-4244-42-42-422002224-24-20000-2-2000000000000000000000000000
χ934444-24-4-4-24-24-24-200-2-2-22-42-4000022000000000000000000000000000-4-4-4-42-4442-42-42-4200222-24-240000-2-2000000000000000000000000000
χ944444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000-4-4-4-422-4-4222222-1-4-4-1-1-122222222-1-1-1-1-1-100000000000000000000000
χ954444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-100000000000000000000000-4-4-4-422-4-4222222-144-1-1-12222-2-2-2-2-1-1111100000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-210011122220000-1-13-33-300000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-2-2000011-33-3300000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-210011122220000-1-1-33-3300000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-2-20000113-33-300000000000000000000000
χ9844-4-44-24-4-424-2-42-2002-224-2-420000-22000000000000000000000000000-4-444-42-444-2-424-2200-22-2-424-200002-2000000000000000000000000000
χ9944-4-4-244-42-4-242-4-2002-22-242-40000-22000000000000000000000000000-4-4442-4-44-242-4-24200-22-22-4-2400002-2000000000000000000000000000
χ10044-4-4-2-24-422-2-222100-11-1-2-22200001-13i−3i−3i3i00000000000000000000000-4-44422-44-2-222-2-2-1001-1122-2-20000-11−3i3i3i−3i00000000000000000000000
χ10144-4-4-2-24-422-2-222100-11-1-2-22200001-1−3i3i3i−3i00000000000000000000000-4-44422-44-2-222-2-2-1001-1122-2-20000-113i−3i−3i3i00000000000000000000000
χ10244-4-4-2-2-4422-2-22214i−4i-11-122-2-2−2i2i−2i2i-11ii−i−i00000000000000000000000-4-444224-4-2-222-2-2-1−4i4i1-11-2-2222i−2i2i−2i1-1−i−iii00000000000000000000000
χ10344-4-4-2-2-4422-2-2221−4i4i-11-122-2-22i−2i2i−2i-11−i−iii00000000000000000000000-4-444224-4-2-222-2-2-14i−4i1-11-2-222−2i2i−2i2i1-1ii−i−i00000000000000000000000
χ1044-44-4440044-4-4-4-44004-4-40000000000000000000000000000000000000-44-44-4-400-4-44444-400-4440000000000000000000000000000000000000
χ1054-44-44-2004-2-42-42-200-2220000000000000000000000i6−i6−i6i600000000000-44-44-4200-424-24-22002-2-20000000000000000000000−i6i6i6−i600000000000
χ1064-44-44-2004-2-42-42-200-2220000000000000000000000−i6i6i6−i600000000000-44-44-4200-424-24-22002-2-20000000000000000000000i6−i6−i6i600000000000
χ1074-44-4-2400-242-42-4-200-222000000000000000000i6−i6−i6i6000000000000000-44-442-4002-4-24-242002-2-2000000000000000000−i6i6i6−i6000000000000000
χ1084-44-4-2400-242-42-4-200-222000000000000000000−i6i6i6−i6000000000000000-44-442-4002-4-24-242002-2-2000000000000000000i6−i6−i6i6000000000000000
χ1094-4-444-200-42-424-2-20022-2000000000000000022−220000−22−2200000000000-444-4-42004-24-2-42200-2-220000000000000000−222200002−22−200000000000
χ1104-4-444-200-42-424-2-20022-20000000000000000−222200002−22−200000000000-444-4-42004-24-2-42200-2-22000000000000000022−220000−22−2200000000000
χ1114-4-44-24002-42-4-24-20022-20000000000000022−2200−22−22000000000000000-444-42-400-24-242-4200-2-2200000000000000−2222002−22−2000000000000000
χ1124-4-44-24002-42-4-24-20022-200000000000000−2222002−22−2000000000000000-444-42-400-24-242-4200-2-220000000000000022−2200−22−22000000000000000
χ1138-88-8-4-400-4-444442002-2-20000000000000000000000000000000000000-88-88440044-4-4-4-4-200-2220000000000000000000000000000000000000
χ1148-8-88-4-4004444-4-4200-2-220000000000000000000000000000000000000-888-84400-4-4-4-444-20022-20000000000000000000000000000000000000

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