Finite Group Databasebeta

← Group #11868365

Character table — Group #11868365

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
χ1122222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-10000022222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-100000
χ1222222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-2001111000000-20110000022222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-2001111000000-201100000
χ1322222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-111112200-1-1-1-1000000-20110000022222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-111112200-1-1-1-1000000-201100000
χ1422222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-11111-2-200111100000020-1-10000022222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-11111-2-200111100000020-1-100000
χ152222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-10002222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-1000
χ162222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200001111000-200110002222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200001111000-20011000
χ172222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-1111100220000-1-1-1-1000-200110002222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-1111100220000-1-1-1-1000-20011000
χ182222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-1111100-2-200001111000200-1-10002222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-1111100-2-200001111000200-1-1000
χ1922-2-2222-2-222-2-2-2200-22-222-2-200002-20000000000000000000000002-2022-2-2222-2-222-2-2-2200-22-222-2-200002-20000000000000000000000002-20
χ2022-2-2222-2-222-2-2-2200-22-222-2-200002-2000000000000000000000000-22022-2-2222-2-222-2-2-2200-22-222-2-200002-2000000000000000000000000-220
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χ2622-2-22-1-22-22-111-2-1−2i2i1-11-212-1i−i−2i2i1-1ii−i−i0000i3i3−i3−i3000000003−30000022-2-22-1-22-22-111-2-1−2i2i1-11-212-1i−i−2i2i1-1ii−i−i0000i3i3−i3−i3000000003−300000
χ2722-2-2-12-221-12-2-21-12i−2i1-111-2-122i−2i−ii1-1−i−iii00000000−i3−i3i3i30000003−300022-2-2-12-221-12-2-21-12i−2i1-111-2-122i−2i−ii1-1−i−iii00000000−i3−i3i3i30000003−3000
χ2822-2-2-12-221-12-2-21-12i−2i1-111-2-122i−2i−ii1-1−i−iii00000000i3i3−i3−i3000000−3300022-2-2-12-221-12-2-21-12i−2i1-111-2-122i−2i−ii1-1−i−iii00000000i3i3−i3−i3000000−33000
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χ3022-2-2-12-221-12-2-21-1−2i2i1-111-2-12−2i2ii−i1-1ii−i−i00000000i3i3−i3−i30000003−300022-2-2-12-221-12-2-21-1−2i2i1-111-2-12−2i2ii−i1-1ii−i−i00000000i3i3−i3−i30000003−3000
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χ342-22-222002-2-2-22-22002-2-200000000000000i2−i2−22i2−i2i2−i2−22−222i−2i0000000002-22-222002-2-2-22-22002-2-200000000000000i2−i2−22i2−i2i2−i2−22−222i−2i000000000
χ3544444-2-4-444-2-2-24-200-2-2-2-42-4200002200000000000000000000000000044444-2-4-444-2-2-24-200-2-2-2-42-42000022000000000000000000000000000
χ364444-24-4-4-2-2444-2-200-2-2-22-42-40000220000000000000000000000000004444-24-4-4-2-2444-2-200-2-2-22-42-4000022000000000000000000000000000
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
χ394444-2-2-4-4-2-2-2-2-2-210011122220000-1-13-33-3000000000000000000000004444-2-2-4-4-2-2-2-2-2-210011122220000-1-13-33-300000000000000000000000
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
χ4144-4-44-24-4-44-222-4-2002-224-2-420000-2200000000000000000000000000044-4-44-24-4-44-222-4-2002-224-2-420000-22000000000000000000000000000
χ4244-4-4-244-42-24-4-42-2002-22-242-40000-2200000000000000000000000000044-4-4-244-42-24-4-42-2002-22-242-40000-22000000000000000000000000000
χ4344-4-4-2-24-42-2-2222100-11-1-2-22200001-13i−3i−3i3i0000000000000000000000044-4-4-2-24-42-2-2222100-11-1-2-22200001-13i−3i−3i3i00000000000000000000000
χ4444-4-4-2-24-42-2-2222100-11-1-2-22200001-1−3i3i3i−3i0000000000000000000000044-4-4-2-24-42-2-2222100-11-1-2-22200001-1−3i3i3i−3i00000000000000000000000
χ4544-4-4-2-2-442-2-222214i−4i-11-122-2-2−2i2i−2i2i-11ii−i−i0000000000000000000000044-4-4-2-2-442-2-222214i−4i-11-122-2-2−2i2i−2i2i-11ii−i−i00000000000000000000000
χ4644-4-4-2-2-442-2-22221−4i4i-11-122-2-22i−2i2i−2i-11−i−iii0000000000000000000000044-4-4-2-2-442-2-22221−4i4i-11-122-2-22i−2i2i−2i-11−i−iii00000000000000000000000
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χ484-44-44-2004-422-2-4-200-222000000000000002i2−2i200−i2i2−i2i20000000000000004-44-44-2004-422-2-4-200-222000000000000002i2−2i200−i2i2−i2i2000000000000000
χ494-44-4-2400-22-4-442-200-222000000000000000022−220000−22−22000000000004-44-4-2400-22-4-442-200-222000000000000000022−220000−22−2200000000000
χ504-44-4-2400-22-4-442-200-2220000000000000000−222200002−22−2000000000004-44-4-2400-22-4-442-200-2220000000000000000−222200002−22−200000000000
χ514-4-444400-4-4-44-44400-4-4400000000000000000000000000000000000004-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000
χ524-4-444-200-4-42-224-20022-20000000000000000006−6−660000000000000004-4-444-200-4-42-224-20022-20000000000000000006−6−66000000000000000
χ534-4-444-200-4-42-224-20022-2000000000000000000−666−60000000000000004-4-444-200-4-42-224-20022-2000000000000000000−666−6000000000000000
χ544-4-44-240022-44-4-2-20022-20000000000000000000000i6−i6−i6i6000000000004-4-44-240022-44-4-2-20022-20000000000000000000000i6−i6−i6i600000000000
χ554-4-44-240022-44-4-2-20022-20000000000000000000000−i6i6i6−i6000000000004-4-44-240022-44-4-2-20022-20000000000000000000000−i6i6i6−i600000000000
χ568-88-8-4-400-4444-442002-2-200000000000000000000000000000000000008-88-8-4-400-4444-442002-2-20000000000000000000000000000000000000
χ578-8-88-4-400444-44-4200-2-2200000000000000000000000000000000000008-8-88-4-400444-44-4200-2-220000000000000000000000000000000000000
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
χ66222222-2-2222222200222-2-2-2-20000-2-200000000000000002200000000-2-2-2-2-2-2-222-2-2-2-2-2-2-200-2-2-222220000220000000000000000-2-2000000002
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χ7922-2-222-22-222-2-2-22−2i2i-22-2-2-222−2i2i−2i2i-22−2i−2i2i2i00000000000000000000000-2-222-2-22-22-2-2222-22i−2i2-2222-2-22i−2i2i−2i2-22i2i−2i−2i00000000000000000000000
χ8022-2-22-1-22-22-111-2-12i−2i1-11-212-1−ii2i−2i1-1−i−iii0000−i3−i3i3i3000000003−300000-2-222-212-22-21-1-121−2i2i-11-12-1-21i−i−2i2i-11ii−i−i0000i3i3−i3−i300000000−3300000
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χ8222-2-22-1-22-22-111-2-1−2i2i1-11-212-1i−i−2i2i1-1ii−i−i0000−i3−i3i3i300000000−3300000-2-222-212-22-21-1-1212i−2i-11-12-1-21−ii2i−2i-11−i−iii0000i3i3−i3−i3000000003−300000
χ8322-2-22-1-22-22-111-2-1−2i2i1-11-212-1i−i−2i2i1-1ii−i−i0000i3i3−i3−i3000000003−300000-2-222-212-22-21-1-1212i−2i-11-12-1-21−ii2i−2i-11−i−iii0000−i3−i3i3i300000000−3300000
χ8422-2-2-12-221-12-2-21-12i−2i1-111-2-122i−2i−ii1-1−i−iii00000000−i3−i3i3i30000003−3000-2-2221-22-2-11-222-11−2i2i-11-1-121-2−2i2ii−i-11ii−i−i00000000i3i3−i3−i3000000−33000
χ8522-2-2-12-221-12-2-21-12i−2i1-111-2-122i−2i−ii1-1−i−iii00000000i3i3−i3−i3000000−33000-2-2221-22-2-11-222-11−2i2i-11-1-121-2−2i2ii−i-11ii−i−i00000000−i3−i3i3i30000003−3000
χ8622-2-2-12-221-12-2-21-1−2i2i1-111-2-12−2i2ii−i1-1ii−i−i00000000−i3−i3i3i3000000−33000-2-2221-22-2-11-222-112i−2i-11-1-121-22i−2i−ii-11−i−iii00000000i3i3−i3−i30000003−3000
χ8722-2-2-12-221-12-2-21-1−2i2i1-111-2-12−2i2ii−i1-1ii−i−i00000000i3i3−i3−i30000003−3000-2-2221-22-2-11-222-112i−2i-11-1-121-22i−2i−ii-11−i−iii00000000−i3−i3i3i3000000−33000
χ882-22-222002-2-2-22-22002-2-200000000000000−i2i22−2−i2i2−i2i22−22−22i−2i000000000-22-22-2-200-2222-22-200-22200000000000000i2−i2−22i2−i2i2−i2−22−22−2i2i000000000
χ892-22-222002-2-2-22-22002-2-200000000000000−i2i2−22−i2i2−i2i2−22−22−2i2i000000000-22-22-2-200-2222-22-200-22200000000000000i2−i22−2i2−i2i2−i22−22−22i−2i000000000
χ902-22-222002-2-2-22-22002-2-200000000000000i2−i22−2i2−i2i2−i22−22−2−2i2i000000000-22-22-2-200-2222-22-200-22200000000000000−i2i2−22−i2i2−i2i2−22−222i−2i000000000
χ912-22-222002-2-2-22-22002-2-200000000000000i2−i2−22i2−i2i2−i2−22−222i−2i000000000-22-22-2-200-2222-22-200-22200000000000000−i2i22−2−i2i2−i2i22−22−2−2i2i000000000
χ9244444-2-4-444-2-2-24-200-2-2-2-42-42000022000000000000000000000000000-4-4-4-4-4244-4-4222-42002224-24-20000-2-2000000000000000000000000000
χ934444-24-4-4-2-2444-2-200-2-2-22-42-4000022000000000000000000000000000-4-4-4-42-44422-4-4-42200222-24-240000-2-2000000000000000000000000000
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
χ9844-4-44-24-4-44-222-4-2002-224-2-420000-22000000000000000000000000000-4-444-42-444-42-2-24200-22-2-424-200002-2000000000000000000000000000
χ9944-4-4-244-42-24-4-42-2002-22-242-40000-22000000000000000000000000000-4-4442-4-44-22-444-2200-22-22-4-2400002-2000000000000000000000000000
χ10044-4-4-2-24-42-2-2222100-11-1-2-22200001-13i−3i−3i3i00000000000000000000000-4-44422-44-222-2-2-2-1001-1122-2-20000-11−3i3i3i−3i00000000000000000000000
χ10144-4-4-2-24-42-2-2222100-11-1-2-22200001-1−3i3i3i−3i00000000000000000000000-4-44422-44-222-2-2-2-1001-1122-2-20000-113i−3i−3i3i00000000000000000000000
χ10244-4-4-2-2-442-2-222214i−4i-11-122-2-2−2i2i−2i2i-11ii−i−i00000000000000000000000-4-444224-4-222-2-2-2-1−4i4i1-11-2-2222i−2i2i−2i1-1−i−iii00000000000000000000000
χ10344-4-4-2-2-442-2-22221−4i4i-11-122-2-22i−2i2i−2i-11−i−iii00000000000000000000000-4-444224-4-222-2-2-2-14i−4i1-11-2-222−2i2i−2i2i1-1ii−i−i00000000000000000000000
χ1044-44-44-2004-422-2-4-200-22200000000000000−2i22i200i2−i2i2−i2000000000000000-44-44-4200-44-2-2242002-2-2000000000000002i2−2i200−i2i2−i2i2000000000000000
χ1054-44-44-2004-422-2-4-200-222000000000000002i2−2i200−i2i2−i2i2000000000000000-44-44-4200-44-2-2242002-2-200000000000000−2i22i200i2−i2i2−i2000000000000000
χ1064-44-4-2400-22-4-442-200-222000000000000000022−220000−22−2200000000000-44-442-4002-244-4-22002-2-20000000000000000−222200002−22−200000000000
χ1074-44-4-2400-22-4-442-200-2220000000000000000−222200002−22−200000000000-44-442-4002-244-4-22002-2-2000000000000000022−220000−22−2200000000000
χ1084-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000-444-4-4-400444-44-4-40044-40000000000000000000000000000000000000
χ1094-4-444-200-4-42-224-20022-20000000000000000006−6−66000000000000000-444-4-420044-22-2-4200-2-22000000000000000000−666−6000000000000000
χ1104-4-444-200-4-42-224-20022-2000000000000000000−666−6000000000000000-444-4-420044-22-2-4200-2-220000000000000000006−6−66000000000000000
χ1114-4-44-240022-44-4-2-20022-20000000000000000000000i6−i6−i6i600000000000-444-42-400-2-24-442200-2-220000000000000000000000−i6i6i6−i600000000000
χ1124-4-44-240022-44-4-2-20022-20000000000000000000000−i6i6i6−i600000000000-444-42-400-2-24-442200-2-220000000000000000000000i6−i6−i6i600000000000
χ1138-88-8-4-400-4444-442002-2-20000000000000000000000000000000000000-88-8844004-4-4-44-4-200-2220000000000000000000000000000000000000
χ1148-8-88-4-400444-44-4200-2-220000000000000000000000000000000000000-888-84400-4-4-44-44-20022-20000000000000000000000000000000000000

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