Finite Group Databasebeta

← Group #10800833

Character table — Group #10800833

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444444446666666666668888888888888888888888888812121212121212121212161616162424242424242424
order122222223444444446666666222244444412121212121212122222444444442244666688881212121212122424242424242424222244444466121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111
χ8111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1
χ9111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111
χ11111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ12111111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1711-1-111-1-11ii−i−i1-11-111-11-1-1-111-1-1i−iii−i−i1-1ii−i−i1-111-1-1ii−i−iii−i−i1-1i−i11-1-11-1i−ii−iii−i−i11-1-1ii−i−i11-1-11-1ii−i−i1-1i−i1-1i−i1-1i−i
χ1811-1-111-1-11ii−i−i1-11-111-11-1-1-111-1-1i−iii−i−i1-1ii−i−i1-111-1-1ii−i−iii−i−i-11−ii11-1-1-11−iii−iii−i−i-1-111−i−iii11-1-11-1ii−i−i-11−ii-11−ii-11−ii
χ1911-1-111-1-11ii−i−i1-11-111-11-1-1-111-1-1i−iii−i−i1-1ii−i−i1-1-1-111−i−iii−i−iii1-1i−i11-1-11-1i−ii−iii−i−i11-1-1ii−i−i-1-111-11−i−iii1-1i−i-11−ii-11−ii
χ2011-1-111-1-11ii−i−i1-11-111-11-1-1-111-1-1i−iii−i−i1-1ii−i−i1-1-1-111−i−iii−i−iii-11−ii11-1-1-11−iii−iii−i−i-1-111−i−iii-1-111-11−i−iii-11−ii1-1i−i1-1i−i
χ2111-1-111-1-11ii−i−i1-11-111-11-1-1-1-1-111i−i−i−iii1-1ii−i−i1-111-1-1ii−i−iii−i−i1-1i−i-1-111-11−iii−i−i−iii-1-111−i−iii-1-1111-1−i−iii1-1i−i1-1i−i-11−ii
χ2211-1-111-1-11ii−i−i1-11-111-11-1-1-1-1-111i−i−i−iii1-1ii−i−i1-111-1-1ii−i−iii−i−i-11−ii-1-1111-1i−ii−i−i−iii11-1-1ii−i−i-1-1111-1−i−iii-11−ii-11−ii1-1i−i
χ2311-1-111-1-11ii−i−i1-11-111-11-1-1-1-1-111i−i−i−iii1-1ii−i−i1-1-1-111−i−iii−i−iii1-1i−i-1-111-11−iii−i−i−iii-1-111−i−iii11-1-1-11ii−i−i1-1i−i-11−ii1-1i−i
χ2411-1-111-1-11ii−i−i1-11-111-11-1-1-1-1-111i−i−i−iii1-1ii−i−i1-1-1-111−i−iii−i−iii-11−ii-1-1111-1i−ii−i−i−iii11-1-1ii−i−i11-1-1-11ii−i−i-11−ii1-1i−i-11−ii
χ2511-1-111-1-11−i−iii1-11-111-11-1-1-111-1-1−ii−i−iii1-1−i−iii1-111-1-1−i−iii−i−iii1-1−ii11-1-11-1−ii−ii−i−iii11-1-1−i−iii11-1-11-1−i−iii1-1−ii1-1−ii1-1−ii
χ2611-1-111-1-11−i−iii1-11-111-11-1-1-111-1-1−ii−i−iii1-1−i−iii1-111-1-1−i−iii−i−iii-11i−i11-1-1-11i−i−ii−i−iii-1-111ii−i−i11-1-11-1−i−iii-11i−i-11i−i-11i−i
χ2711-1-111-1-11−i−iii1-11-111-11-1-1-111-1-1−ii−i−iii1-1−i−iii1-1-1-111ii−i−iii−i−i1-1−ii11-1-11-1−ii−ii−i−iii11-1-1−i−iii-1-111-11ii−i−i1-1−ii-11i−i-11i−i
χ2811-1-111-1-11−i−iii1-11-111-11-1-1-111-1-1−ii−i−iii1-1−i−iii1-1-1-111ii−i−iii−i−i-11i−i11-1-1-11i−i−ii−i−iii-1-111ii−i−i-1-111-11ii−i−i-11i−i1-1−ii1-1−ii
χ2911-1-111-1-11−i−iii1-11-111-11-1-1-1-1-111−iiii−i−i1-1−i−iii1-111-1-1−i−iii−i−iii1-1−ii-1-111-11i−i−iiii−i−i-1-111ii−i−i-1-1111-1ii−i−i1-1−ii1-1−ii-11i−i
χ3011-1-111-1-11−i−iii1-11-111-11-1-1-1-1-111−iiii−i−i1-1−i−iii1-111-1-1−i−iii−i−iii-11i−i-1-1111-1−ii−iiii−i−i11-1-1−i−iii-1-1111-1ii−i−i-11i−i-11i−i1-1−ii
χ3111-1-111-1-11−i−iii1-11-111-11-1-1-1-1-111−iiii−i−i1-1−i−iii1-1-1-111ii−i−iii−i−i1-1−ii-1-111-11i−i−iiii−i−i-1-111ii−i−i11-1-1-11−i−iii1-1−ii-11i−i1-1−ii
χ3211-1-111-1-11−i−iii1-11-111-11-1-1-1-1-111−iiii−i−i1-1−i−iii1-1-1-111ii−i−iii−i−i-11i−i-1-1111-1−ii−iiii−i−i11-1-1−i−iii11-1-1-11−i−iii-11i−i1-1−ii-11i−i
χ332222222222222-2-2-2-222222220000-2-20000-2-22222-2-22222-2-2-2-22222000000000000-2-20000000000000000-2-20000000000000000
χ342222222222222-2-2-2-222222220000-2-20000-2-22222-2-2-2-2-2-22222-2-2-2-2000000000000-2-20000000000000000220000000000000000
χ35222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000220000000000000000-2-20000000000000000
χ36222222222-2-2-2-2-2-2-2-222222220000220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000220000000000000000220000000000000000
χ3722222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-10000000000002222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-100000000
χ3822222222-122222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1000000000000-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000111100000000
χ3922222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-100000000000022221111-2-2-2-2-1-11111111111110000000000-1-1-1-100000000
χ4022222222-122222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1000000000000-2-2-2-211112222-1-11111-1-1-1-1-1-1-1-10000000000111100000000
χ4122222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-100000000000022-2-2-1-1-1-122-2-2111111-1-1-1-111110000000000-1-11100000000
χ4222222222-1-2-2-2-22222-1-1-1-1-1-1-12222-2-2-2-2-2-2-1-11111-1-1000000000000-2-222-1-1-1-1-2-2221111111111-1-1-1-1000000000011-1-100000000
χ4322222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-100000000000022-2-21111-2-22211-1-1-1-11111-1-1-1-10000000000-1-11100000000
χ4422222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-11111-1-1000000000000-2-222111122-2-211-1-1-1-1-1-1-1-11111000000000011-1-100000000
χ4522-2-222-2-222i2i−2i−2i-22-2222-22-2-2-20000−2i2i0000-222i2i−2i−2i-2222-2-2−2i−2i2i2i2i2i−2i−2i000000000000−2i2i0000000000000000-220000000000000000
χ4622-2-222-2-222i2i−2i−2i-22-2222-22-2-2-20000−2i2i0000-222i2i−2i−2i-22-2-2222i2i−2i−2i−2i−2i2i2i000000000000−2i2i00000000000000002-20000000000000000
χ4722-2-222-2-22−2i−2i2i2i-22-2222-22-2-2-200002i−2i0000-22−2i−2i2i2i-2222-2-22i2i−2i−2i−2i−2i2i2i0000000000002i−2i0000000000000000-220000000000000000
χ4822-2-222-2-22−2i−2i2i2i-22-2222-22-2-2-200002i−2i0000-22−2i−2i2i2i-22-2-222−2i−2i2i2i2i2i−2i−2i0000000000002i−2i00000000000000002-20000000000000000
χ4922-2-222-2-2-12i2i−2i−2i2-22-2-1-11-111122-2-22i−2i2i2i−2i−2i-11−i−iii-110000000000002-22i−2i-1-1112-22i−2i−ii−i−iii-1-111−i−iii0000000000-11−ii00000000
χ5022-2-222-2-2-12i2i−2i−2i2-22-2-1-11-111122-2-22i−2i2i2i−2i−2i-11−i−iii-11000000000000-22−2i2i-1-111-22−2i2i−ii−i−iii11-1-1ii−i−i00000000001-1i−i00000000
χ5122-2-222-2-2-12i2i−2i−2i2-22-2-1-11-1111-2-2222i−2i−2i−2i2i2i-11−i−iii-110000000000002-22i−2i11-1-1-22−2i2i−iiii−i−i11-1-1ii−i−i0000000000-11−ii00000000
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χ5322-2-222-2-2-1−2i−2i2i2i2-22-2-1-11-111122-2-2−2i2i−2i−2i2i2i-11ii−i−i-110000000000002-2−2i2i-1-1112-2−2i2ii−iii−i−i-1-111ii−i−i0000000000-11i−i00000000
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χ5522-2-222-2-2-1−2i−2i2i2i2-22-2-1-11-1111-2-222−2i2i2i2i−2i−2i-11ii−i−i-110000000000002-2−2i2i11-1-1-222i−2ii−i−i−iii11-1-1−i−iii0000000000-11i−i00000000
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χ934-44-4-44-44400000000-444-4-4-440000000000000000004-44-400000000000000000000000000000000000000000000000000000000
χ944-44-4-44-44400000000-444-4-4-44000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ954-4-44-444-4400000000-44-4-444-40000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ964-4-44-444-4400000000-44-4-444-4000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ974-4-4-44-444-200004-4-44222-2-22-24-4-440000002-20000-220000000000000000-222-20000000000000000000000000000000000000000
χ984-4-4-44-444-200004-4-44222-2-22-2-444-40000002-20000-2200000000000000002-2-220000000000000000000000000000000000000000
χ994-4-4-44-444-20000-444-4222-2-22-20000004-4-44-2200002-200000000000000000000000000-222-2000000000000000000000000000000
χ1004-4-4-44-444-20000-444-4222-2-22-2000000-444-4-2200002-2000000000000000000000000002-2-22000000000000000000000000000000
χ1018-88-8-88-88-4000000004-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-888-8-4000000004-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000

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