Finite Group Databasebeta

← Group #10801006

Character table — Group #10801006

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11111111222222222222444444444444444444444444666666668888888888888888888888881212121212121212121212121212121216161616242424242424
order122222223444466666664444444444448888121212121212121244444444444488121212121212121212122424242424242424222222444444888812121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111
χ911111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ1011111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ1211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1
χ1711-11-1-11-111-11-11-1-1-111-1i−i11-1-1i−iii−i−iii−i−iii−i−i1-11-1ii−i−iii−i−i1-1i−i1-111-1-1i−iii−i−iii−i−i11-1-11-111-1-11-1ii−i−i11-1-11-1i−ii−i1-1i−i
χ1811-11-1-11-111-11-11-1-1-111-1i−i11-1-1i−iii−i−iii−i−iii−i−i1-11-1−i−iii−i−iii1-1i−i1-111-1-1i−iii−i−iii−i−i11-1-1-11-1-111-11−i−iii-1-1111-1i−i−ii-11−ii
χ1911-11-1-11-111-11-11-1-1-111-1i−i11-1-1i−iii−i−i−i−iiiii−i−i1-11-1ii−i−iii−i−i-11−ii-1111-1-1i−iii−i−i−i−iii-1-1111-111-1-11-1ii−i−i-1-111-11−ii−ii-11−ii
χ2011-11-1-11-111-11-11-1-1-111-1i−i11-1-1i−iii−i−i−i−iiiii−i−i1-11-1−i−iii−i−iii-11−ii-1111-1-1i−iii−i−i−i−iii-1-111-11-1-111-11−i−iii11-1-1-11−iii−i1-1i−i
χ2111-11-1-11-111-11-11-1-1-111-1i−i-1-111i−i−i−iiiii−i−iii−i−i1-11-1ii−i−iii−i−i-11−ii1-1-1-111i−i−i−iiiii−i−i11-1-11-1-1-1111-1−i−iii11-1-1-11−ii−ii-11i−i
χ2211-11-1-11-111-11-11-1-1-111-1i−i-1-111i−i−i−iiiii−i−iii−i−i1-11-1−i−iii−i−iii-11−ii1-1-1-111i−i−i−iiiii−i−i11-1-1-1111-1-1-11ii−i−i-1-111-11−iii−i1-1−ii
χ2311-11-1-11-111-11-11-1-1-111-1i−i-1-111i−i−i−iii−i−iiiii−i−i1-11-1ii−i−iii−i−i1-1i−i-11-1-111i−i−i−iii−i−iii-1-1111-1-1-1111-1−i−iii-1-1111-1i−ii−i1-1−ii
χ2411-11-1-11-111-11-11-1-1-111-1i−i-1-111i−i−i−iii−i−iiiii−i−i1-11-1−i−iii−i−iii1-1i−i-11-1-111i−i−i−iii−i−iii-1-111-1111-1-1-11ii−i−i11-1-11-1i−i−ii-11i−i
χ2511-11-1-11-111-11-11-1-1-111-1−ii11-1-1−ii−i−iiiii−i−i−i−iii1-11-1ii−i−iii−i−i-11i−i-1111-1-1−ii−i−iiiii−i−i-1-111-11-1-111-11ii−i−i11-1-1-11i−i−ii1-1−ii
χ2611-11-1-11-111-11-11-1-1-111-1−ii11-1-1−ii−i−iiiii−i−i−i−iii1-11-1−i−iii−i−iii-11i−i-1111-1-1−ii−i−iiiii−i−i-1-1111-111-1-11-1−i−iii-1-111-11i−ii−i-11i−i
χ2711-11-1-11-111-11-11-1-1-111-1−ii11-1-1−ii−i−iii−i−iii−i−iii1-11-1ii−i−iii−i−i1-1−ii1-111-1-1−ii−i−iii−i−iii11-1-1-11-1-111-11ii−i−i-1-1111-1−iii−i-11i−i
χ2811-11-1-11-111-11-11-1-1-111-1−ii11-1-1−ii−i−iii−i−iii−i−iii1-11-1−i−iii−i−iii1-1−ii1-111-1-1−ii−i−iii−i−iii11-1-11-111-1-11-1−i−iii11-1-11-1−ii−ii1-1−ii
χ2911-11-1-11-111-11-11-1-1-111-1−ii-1-111−iiii−i−iii−i−i−i−iii1-11-1ii−i−iii−i−i1-1−ii-11-1-111−iiii−i−iii−i−i-1-111-1111-1-1-11−i−iii11-1-11-1−iii−i-11−ii
χ3011-11-1-11-111-11-11-1-1-111-1−ii-1-111−iiii−i−iii−i−i−i−iii1-11-1−i−iii−i−iii1-1−ii-11-1-111−iiii−i−iii−i−i-1-1111-1-1-1111-1ii−i−i-1-1111-1−ii−ii1-1i−i
χ3111-11-1-11-111-11-11-1-1-111-1−ii-1-111−iiii−i−i−i−iii−i−iii1-11-1ii−i−iii−i−i-11i−i1-1-1-111−iiii−i−i−i−iii11-1-1-1111-1-1-11−i−iii-1-111-11i−i−ii1-1i−i
χ3211-11-1-11-111-11-11-1-1-111-1−ii-1-111−iiii−i−i−i−iii−i−iii1-11-1−i−iii−i−iii-11i−i1-1-1-111−iiii−i−i−i−iii11-1-11-1-1-1111-1ii−i−i11-1-1-11i−ii−i-11−ii
χ33222222222-2-2-2-22222222220000-2-2000000002222-2-2-2-22222-2-2-2-20000000000-2-2000000000000-2-2000022000000000000000000
χ34222222222-2-2-2-22222222220000-2-2000000002222-2-2-2-2-2-2-2-222220000000000-2-2000000000000220000-2-2000000000000000000
χ35222222222-2-2-2-22222222-2-200002200000000-2-2-2-2-2-2-2-22222-2-2-2-2000000000022000000000000220000-2-2000000000000000000
χ36222222222-2-2-2-22222222-2-200002200000000-2-2-2-2-2-2-2-2-2-2-2-22222000000000022000000000000-2-2000022000000000000000000
χ3722222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1000000
χ3822222222-12222-1-1-1-1-1-1-1222222222222-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111100000000000000001111000000
χ3922222222-12222-1-1-1-1-1-1-122-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1-100000000-2-2-2-2221111-1-11111-1-1-1-1-1-1-1-100000000000000001111000000
χ4022222222-12222-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-2-21111-1-11111111111110000000000000000-1-1-1-1000000
χ4122222222-12222-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-222221111-1-1-1-100000000-2-222-2-2-1-1-1-1111111-1-1-1-11111000000000000000011-1-1000000
χ4222222222-12222-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-2-2-2-2-21111-1-1-1-10000000022-2-222-1-1-1-11111111111-1-1-1-10000000000000000-1-111000000
χ4322222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111-1-1-1-10000000022-2-2-2-2111111-1-1-1-1-1-1-1-111110000000000000000-1-111000000
χ4422222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-21111-1-1-1-100000000-2-22222111111-1-1-1-11111-1-1-1-1000000000000000011-1-1000000
χ4522-22-2-22-22-22-222-2-2-222-22i−2i0000−2i2i000000002i2i−2i−2i-22-222i2i−2i−2i−2i−2i2i2i0000000000−2i2i000000000000-2200002-2000000000000000000
χ4622-22-2-22-22-22-222-2-2-222-22i−2i0000−2i2i000000002i2i−2i−2i-22-22−2i−2i2i2i2i2i−2i−2i0000000000−2i2i0000000000002-20000-22000000000000000000
χ4722-22-2-22-22-22-222-2-2-222-2−2i2i00002i−2i00000000−2i−2i2i2i-22-222i2i−2i−2i−2i−2i2i2i00000000002i−2i0000000000002-20000-22000000000000000000
χ4822-22-2-22-22-22-222-2-2-222-2−2i2i00002i−2i00000000−2i−2i2i2i-22-22−2i−2i2i2i2i2i−2i−2i00000000002i−2i000000000000-2200002-2000000000000000000
χ4922-22-2-22-2-12-22-2-1111-1-112i−2i22-2-22i−2i2i2i−2i−2i2i2i−2i−2i−i−iii-11-11000000002-22i−2i2-2-1-111−ii−i−iii−i−iii-1-1110000000000000000-11−ii000000
χ5022-22-2-22-2-12-22-2-1111-1-112i−2i22-2-22i−2i2i2i−2i−2i−2i−2i2i2i−i−iii-11-1100000000-22−2i2i-22-1-111−ii−i−iiiii−i−i11-1-100000000000000001-1i−i000000
χ5122-22-2-22-2-12-22-2-1111-1-112i−2i-2-2222i−2i−2i−2i2i2i2i2i−2i−2i−i−iii-11-1100000000-22−2i2i2-211-1-1−iiii−i−i−i−iii-1-11100000000000000001-1i−i000000
χ5222-22-2-22-2-12-22-2-1111-1-112i−2i-2-2222i−2i−2i−2i2i2i−2i−2i2i2i−i−iii-11-11000000002-22i−2i-2211-1-1−iiii−i−iii−i−i11-1-10000000000000000-11−ii000000
χ5322-22-2-22-2-12-22-2-1111-1-11−2i2i22-2-2−2i2i−2i−2i2i2i2i2i−2i−2iii−i−i-11-1100000000-222i−2i-22-1-111i−iii−i−i−i−iii11-1-100000000000000001-1−ii000000
χ5422-22-2-22-2-12-22-2-1111-1-11−2i2i22-2-2−2i2i−2i−2i2i2i−2i−2i2i2iii−i−i-11-11000000002-2−2i2i2-2-1-111i−iii−i−iii−i−i-1-1110000000000000000-11i−i000000
χ5522-22-2-22-2-12-22-2-1111-1-11−2i2i-2-222−2i2i2i2i−2i−2i2i2i−2i−2iii−i−i-11-11000000002-2−2i2i-2211-1-1i−i−i−iii−i−iii11-1-10000000000000000-11i−i000000
χ5622-22-2-22-2-12-22-2-1111-1-11−2i2i-2-222−2i2i2i2i−2i−2i−2i−2i2i2iii−i−i-11-1100000000-222i−2i2-211-1-1i−i−i−iiiii−i−i-1-11100000000000000001-1−ii000000
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χ964-4-44-44-4440000-4-44-44-4400000000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ974-4-4-44-444-24-4-44222-22-2-2000000004-4-44000000002-2-2200000000000000000000-222-20000000000000000000000000000000000
χ984-4-4-44-444-24-4-44222-22-2-200000000-444-4000000002-2-22000000000000000000002-2-220000000000000000000000000000000000
χ994-4-4-44-444-2-444-4222-22-2-2004-4-4400000000000000-222-200000000000000-222-20000000000000000000000000000000000000000
χ1004-4-4-44-444-2-444-4222-22-2-200-444-400000000000000-222-2000000000000002-2-220000000000000000000000000000000000000000
χ1018-8888-8-8-8-400004-44-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-88-88-4000044-44-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000

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