Finite Group Databasebeta

← Group #10798397

Character table — Group #10798397

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11111111222222222222444444444444444444444444666666668888888888888888888888881212121212121212121212121212121216161616242424242424
order1222222234444666666644444444444488881212121212121212444444442244881212121212121212121224242424242424244444444444448888661212444488
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
χ51111111111111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111
χ911111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ1011111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ1211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-1-1-111-1-1
χ171-11-111-1-111-11-111-1-1-11-1i−i11-1-1i−iii−i−i11-1-1ii−i−i1-11-11111-1-1-1-11-1i−ii−ii−i11-1-1ii−i−i11-1-1ii−i−ii−i11-1-1i−iii−i−i11-1-11-1i−i1-1i−ii−i
χ181-11-111-1-111-11-111-1-1-11-1i−i11-1-1i−iii−i−i11-1-1ii−i−i1-11-1-1-1-1-111111-1i−ii−ii−i11-1-1ii−i−i11-1-1ii−i−i−ii-1-111−ii−i−iii-1-1111-1i−i-11−ii−ii
χ191-11-111-1-111-11-111-1-1-11-1i−i11-1-1i−iii−i−i-1-111ii−i−i1-11-11111-1-1-1-1-11−ii−iii−i11-1-1ii−i−i-1-111−i−iiii−i11-1-1i−iii−i−i-1-111-11−ii-11−ii−ii
χ201-11-111-1-111-11-111-1-1-11-1i−i11-1-1i−iii−i−i-1-111ii−i−i1-11-1-1-1-1-11111-11−ii−iii−i11-1-1ii−i−i-1-111−i−iii−ii-1-111−ii−i−iii11-1-1-11−ii1-1i−ii−i
χ211-11-111-1-111-11-111-1-1-11-1i−i-1-111i−i−i−iii11-1-1ii−i−i1-11-11111-1-1-1-1-11−iii−ii−i-1-111−i−iii11-1-1ii−i−ii−i-1-111i−i−i−iii11-1-1-11−ii-11−iii−i
χ221-11-111-1-111-11-111-1-1-11-1i−i-1-111i−i−i−iii11-1-1ii−i−i1-11-1-1-1-1-11111-11−iii−ii−i-1-111−i−iii11-1-1ii−i−i−ii11-1-1−iiii−i−i-1-111-11−ii1-1i−i−ii
χ231-11-111-1-111-11-111-1-1-11-1i−i-1-111i−i−i−iii-1-111ii−i−i1-11-11111-1-1-1-11-1i−i−iii−i-1-111−i−iii-1-111−i−iiii−i-1-111i−i−i−iii-1-1111-1i−i1-1i−i−ii
χ241-11-111-1-111-11-111-1-1-11-1i−i-1-111i−i−i−iii-1-111ii−i−i1-11-1-1-1-1-111111-1i−i−iii−i-1-111−i−iii-1-111−i−iii−ii11-1-1−iiii−i−i11-1-11-1i−i-11−iii−i
χ251-11-111-1-111-11-111-1-1-11-1−ii11-1-1−ii−i−iii11-1-1−i−iii1-11-11111-1-1-1-11-1−ii−ii−ii11-1-1−i−iii11-1-1−i−iii−ii11-1-1−ii−i−iii11-1-11-1−ii1-1−ii−ii
χ261-11-111-1-111-11-111-1-1-11-1−ii11-1-1−ii−i−iii11-1-1−i−iii1-11-1-1-1-1-111111-1−ii−ii−ii11-1-1−i−iii11-1-1−i−iiii−i-1-111i−iii−i−i-1-1111-1−ii-11i−ii−i
χ271-11-111-1-111-11-111-1-1-11-1−ii11-1-1−ii−i−iii-1-111−i−iii1-11-11111-1-1-1-1-11i−ii−i−ii11-1-1−i−iii-1-111ii−i−i−ii11-1-1−ii−i−iii-1-111-11i−i-11i−ii−i
χ281-11-111-1-111-11-111-1-1-11-1−ii11-1-1−ii−i−iii-1-111−i−iii1-11-1-1-1-1-11111-11i−ii−i−ii11-1-1−i−iii-1-111ii−i−ii−i-1-111i−iii−i−i11-1-1-11i−i1-1−ii−ii
χ291-11-111-1-111-11-111-1-1-11-1−ii-1-111−iiii−i−i11-1-1−i−iii1-11-11111-1-1-1-1-11i−i−ii−ii-1-111ii−i−i11-1-1−i−iii−ii-1-111−iiii−i−i11-1-1-11i−i-11i−i−ii
χ301-11-111-1-111-11-111-1-1-11-1−ii-1-111−iiii−i−i11-1-1−i−iii1-11-1-1-1-1-11111-11i−i−ii−ii-1-111ii−i−i11-1-1−i−iiii−i11-1-1i−i−i−iii-1-111-11i−i1-1−iii−i
χ311-11-111-1-111-11-111-1-1-11-1−ii-1-111−iiii−i−i-1-111−i−iii1-11-11111-1-1-1-11-1−iii−i−ii-1-111ii−i−i-1-111ii−i−i−ii-1-111−iiii−i−i-1-1111-1−ii1-1−iii−i
χ321-11-111-1-111-11-111-1-1-11-1−ii-1-111−iiii−i−i-1-111−i−iii1-11-1-1-1-1-111111-1−iii−i−ii-1-111ii−i−i-1-111ii−i−ii−i11-1-1i−i−i−iii11-1-11-1−ii-11i−i−ii
χ33222222222-2-2-2-22222222220000-2-2000000002222-2-2-2-222-2-222-2-2000000-2-20000000000000000220000-2-2000000000000000000
χ34222222222-2-2-2-22222222220000-2-2000000002222-2-2-2-2-2-222-2-222000000-2-20000000000000000-2-2000022000000000000000000
χ35222222222-2-2-2-22222222-2-200002200000000-2-2-2-2-2-2-2-222-2-222-2-2000000220000000000000000-2-2000022000000000000000000
χ36222222222-2-2-2-22222222-2-200002200000000-2-2-2-2-2-2-2-2-2-222-2-222000000220000000000000000220000-2-2000000000000000000
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
χ3922222222-12222-1-1-1-1-1-1-122-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1-100000000-2-2-2-222-1-111111111-1-1-1-1-1-1-1-100000000000000001111000000
χ4022222222-12222-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002222-2-2-1-111111111111111110000000000000000-1-1-1-1000000
χ4122222222-12222-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-222221111-1-1-1-10000000022-2-2-2-211-1-1-1-11111-1-1-1-111110000000000000000-1-111000000
χ4222222222-12222-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-2-2-2-2-21111-1-1-1-100000000-2-2222211-1-1-1-111111111-1-1-1-1000000000000000011-1-1000000
χ4322222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222221111-1-1-1-100000000-2-222-2-2111111-1-1-1-1-1-1-1-11111000000000000000011-1-1000000
χ4422222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-21111-1-1-1-10000000022-2-222111111-1-1-1-11111-1-1-1-10000000000000000-1-111000000
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χ48222-2-2-22-222-2-22-2-2-22-22200-22-2200000000000000-222-2−2i2i−2i2i−2i2i−2i2i00000000-22-22000000000000002i−2i2i−2i00000000000000000000
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χ702-22-222-2-2-12-22-2-1-1111-11−2i2i22-2-2−2i2i−2i−2i2i2i-2-222ii−i−i-11-1100000000-222i−2i2i−2ii−i-1-111ii−i−i11-1-1−i−iii00000000000000001-1−ii000000
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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
χ954-4-44-444-4-200002-2-2222-2000000000000−2i22i22i2−2i223−23−23230000000000000000000000000000i2−i2−i2i2i6−i6−i6i600000000000000000000000000
χ964-4-44-444-4-200002-2-2222-2000000000000−2i22i22i2−2i2−232323−230000000000000000000000000000i2−i2−i2i2−i6i6i6−i600000000000000000000000000
χ974-4-44-444-4-200002-2-2222-20000000000002i2−2i2−2i22i223−23−23230000000000000000000000000000−i2i2i2−i2−i6i6i6−i600000000000000000000000000
χ984-4-44-444-4-200002-2-2222-20000000000002i2−2i2−2i22i2−232323−230000000000000000000000000000−i2i2i2−i2i6−i6−i6i600000000000000000000000000
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).