Finite Group Databasebeta

← Group #10798331

Character table — Group #10798331

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11111111222222222222444444444444444444444444666666668888888888888888888888881212121212121212121212121212121216161616242424242424
order12222222344446666666222244444444888812121212121212124444444444446666881212121212122424242424242424444444444444888812121212444488
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
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-111-1-111-1-1
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χ181-11-111-1-111-11-111-1-1-11-111-1-1i−ii−iii−i−i11-1-11-1ii−i−i1-1-1-1-1-111111-1i−i11-1-1i−ii−iii−i−i11-1-1ii−i−i−ii-1-111−ii−i−iii-1-111i−i1-1-11−ii−ii
χ191-11-111-1-111-11-111-1-1-11-111-1-1i−ii−iii−i−i-1-1111-1ii−i−i1-11111-1-1-1-1-11−ii11-1-1−iii−iii−i−i-1-111−i−iiii−i11-1-1i−iii−i−i-1-111−ii-11-11−ii−ii
χ201-11-111-1-111-11-111-1-1-11-111-1-1i−ii−iii−i−i-1-1111-1ii−i−i1-1-1-1-1-11111-11−ii11-1-1−iii−iii−i−i-1-111−i−iii−ii-1-111−ii−i−iii11-1-1−ii-111-1i−ii−i
χ211-11-111-1-111-11-111-1-1-11-111-1-1−ii−ii−i−iii11-1-11-1−i−iii1-11111-1-1-1-11-1−ii11-1-1−ii−ii−i−iii11-1-1−i−iii−ii11-1-1−ii−i−iii11-1-1−ii1-11-1−ii−ii
χ221-11-111-1-111-11-111-1-1-11-111-1-1−ii−ii−i−iii11-1-11-1−i−iii1-1-1-1-1-111111-1−ii11-1-1−ii−ii−i−iii11-1-1−i−iiii−i-1-111i−iii−i−i-1-111−ii1-1-11i−ii−i
χ231-11-111-1-111-11-111-1-1-11-111-1-1−ii−ii−i−iii-1-1111-1−i−iii1-11111-1-1-1-1-11i−i11-1-1i−i−ii−i−iii-1-111ii−i−i−ii11-1-1−ii−i−iii-1-111i−i-11-11i−ii−i
χ241-11-111-1-111-11-111-1-1-11-111-1-1−ii−ii−i−iii-1-1111-1−i−iii1-1-1-1-1-11111-11i−i11-1-1i−i−ii−i−iii-1-111ii−i−ii−i-1-111i−iii−i−i11-1-1i−i-111-1−ii−ii
χ251-11-111-1-111-11-111-1-1-11-1-1-111i−ii−i−i−iii11-1-11-1ii−i−i1-11111-1-1-1-1-11−ii-1-111i−ii−i−i−iii11-1-1ii−i−ii−i-1-111i−i−i−iii11-1-1−ii-11-11−iii−i
χ261-11-111-1-111-11-111-1-1-11-1-1-111i−ii−i−i−iii11-1-11-1ii−i−i1-1-1-1-1-11111-11−ii-1-111i−ii−i−i−iii11-1-1ii−i−i−ii11-1-1−iiii−i−i-1-111−ii-111-1i−i−ii
χ271-11-111-1-111-11-111-1-1-11-1-1-111i−ii−i−i−iii-1-1111-1ii−i−i1-11111-1-1-1-11-1i−i-1-111−iii−i−i−iii-1-111−i−iiii−i-1-111i−i−i−iii-1-111i−i1-11-1i−i−ii
χ281-11-111-1-111-11-111-1-1-11-1-1-111i−ii−i−i−iii-1-1111-1ii−i−i1-1-1-1-1-111111-1i−i-1-111−iii−i−i−iii-1-111−i−iii−ii11-1-1−iiii−i−i11-1-1i−i1-1-11−iii−i
χ291-11-111-1-111-11-111-1-1-11-1-1-111−ii−iiii−i−i11-1-11-1−i−iii1-11111-1-1-1-1-11i−i-1-111−ii−iiii−i−i11-1-1−i−iii−ii-1-111−iiii−i−i11-1-1i−i-11-11i−i−ii
χ301-11-111-1-111-11-111-1-1-11-1-1-111−ii−iiii−i−i11-1-11-1−i−iii1-1-1-1-1-11111-11i−i-1-111−ii−iiii−i−i11-1-1−i−iiii−i11-1-1i−i−i−iii-1-111i−i-111-1−iii−i
χ311-11-111-1-111-11-111-1-1-11-1-1-111−ii−iiii−i−i-1-1111-1−i−iii1-11111-1-1-1-11-1−ii-1-111i−i−iiii−i−i-1-111ii−i−i−ii-1-111−iiii−i−i-1-111−ii1-11-1−iii−i
χ321-11-111-1-111-11-111-1-1-11-1-1-111−ii−iiii−i−i-1-1111-1−i−iii1-1-1-1-1-111111-1−ii-1-111i−i−iiii−i−i-1-111ii−i−ii−i11-1-1i−i−i−iii11-1-1−ii1-1-11i−i−ii
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χ3722222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1000000
χ3822222222-12222-1-1-1-1-1-1-1222222222222-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-2-2-1-1-1-1-1-11111111100000000000000001111000000
χ3922222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-11111-1-10000000022-2-2-1-1-1-1-2-2111111-1-1-1-11111000000000000000011-1-1000000
χ4022222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-11111-1-100000000-2-222-1-1-1-1221111111111-1-1-1-10000000000000000-1-111000000
χ4122222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-100000000-2-2-2-2111122-1-11111-1-1-1-1-1-1-1-100000000000000001111000000
χ4222222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000022221111-2-2-1-11111111111110000000000000000-1-1-1-1000000
χ4322222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-11111-1-100000000-2-2221111-2-211-1-1-1-1-1-1-1-111110000000000000000-1-111000000
χ4422222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-11111-1-10000000022-2-211112211-1-1-1-11111-1-1-1-1000000000000000011-1-1000000
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χ934-4-44-444-440000-444-4-4-44000000000000−2i22i22i2−2i200000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000000000
χ944-4-44-444-440000-444-4-4-440000000000002i2−2i2−2i22i2000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000000
χ954-4-44-444-4-200002-2-2222-2000000000000−2i22i22i2−2i200−2i32i32i3−2i300000000000000000000000000i2−i2−i2i26−6−6600000000000000000000000000
χ964-4-44-444-4-200002-2-2222-2000000000000−2i22i22i2−2i2002i3−2i3−2i32i300000000000000000000000000i2−i2−i2i2−666−600000000000000000000000000
χ974-4-44-444-4-200002-2-2222-20000000000002i2−2i2−2i22i200−2i32i32i3−2i300000000000000000000000000−i2i2i2−i2−666−600000000000000000000000000
χ984-4-44-444-4-200002-2-2222-20000000000002i2−2i2−2i22i2002i3−2i3−2i32i300000000000000000000000000−i2i2i2−i26−6−6600000000000000000000000000
χ994-4-4-44-444400004-4-4-44-440000000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ1004-4-4-44-444400004-4-4-44-4400000000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ10188-888-8-8-8-40000-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-88-888-40000-4444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000

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