Finite Group Databasebeta

← Group #72341352

Character table — Group #72341352

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11112233336666666666666688881212121212121212121224242424242424242424242424242424242424242424242432323232484848486464646464641111223333666666666666668888121212121212121212122424242424242424242424242424242424242424242424243232323248484848646464646464
order1222442222222222224444442244222244444422444444444444444444444436664444661212121222224422222222222244444422442222444444224444444444444444444444666644446612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ3111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111111111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ51111-1-1111111111111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1
χ61111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ71111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ81111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111
χ911-1-1i−i1-1-1111-1-111-1-1iii−i−i−i1-1i−i11-1-1i−i11-1-11-1i−ii−ii−ii−ii−i1-11-111-1-1ii−i−i11-1-11-1i−i1-1i−ii−i11-1-1i−i1-1-1111-1-111-1-1iii−i−i−i1-1i−i11-1-1i−i11-1-11-1i−ii−ii−ii−ii−i1-11-111-1-1ii−i−i11-1-11-1i−i1-1i−ii−i
χ1011-1-1i−i1-1-1111-1-111-1-1iii−i−i−i1-1i−i-1-111i−i-1-111-11−ii−ii−iii−i−ii1-1-11-1-111−i−iii11-1-1-11−ii1-1i−ii−i11-1-1i−i1-1-1111-1-111-1-1iii−i−i−i1-1i−i-1-111i−i-1-111-11−ii−ii−iii−i−ii1-1-11-1-111−i−iii11-1-1-11−ii1-1i−ii−i
χ1111-1-1i−i1-1-1111-1-111-1-1iii−i−i−i-11−ii11-1-1i−i11-1-1-11−iii−ii−i−ii−ii-11-1111-1-1ii−i−i11-1-1-11−ii-11i−i−ii11-1-1i−i1-1-1111-1-111-1-1iii−i−i−i-11−ii11-1-1i−i11-1-1-11−iii−ii−i−ii−ii-11-1111-1-1ii−i−i11-1-1-11−ii-11i−i−ii
χ1211-1-1i−i1-1-1111-1-111-1-1iii−i−i−i-11−ii-1-111i−i-1-1111-1i−i−ii−ii−iii−i-111-1-1-111−i−iii11-1-11-1i−i-11i−i−ii11-1-1i−i1-1-1111-1-111-1-1iii−i−i−i-11−ii-1-111i−i-1-1111-1i−i−ii−ii−iii−i-111-1-1-111−i−iii11-1-11-1i−i-11i−i−ii
χ1311-1-1−ii1-1-1111-1-111-1-1−i−i−iiii1-1−ii11-1-1−ii11-1-11-1−ii−ii−ii−ii−ii1-11-111-1-1−i−iii11-1-11-1−ii1-1−ii−ii11-1-1−ii1-1-1111-1-111-1-1−i−i−iiii1-1−ii11-1-1−ii11-1-11-1−ii−ii−ii−ii−ii1-11-111-1-1−i−iii11-1-11-1−ii1-1−ii−ii
χ1411-1-1−ii1-1-1111-1-111-1-1−i−i−iiii1-1−ii-1-111−ii-1-111-11i−ii−ii−i−iii−i1-1-11-1-111ii−i−i11-1-1-11i−i1-1−ii−ii11-1-1−ii1-1-1111-1-111-1-1−i−i−iiii1-1−ii-1-111−ii-1-111-11i−ii−ii−i−iii−i1-1-11-1-111ii−i−i11-1-1-11i−i1-1−ii−ii
χ1511-1-1−ii1-1-1111-1-111-1-1−i−i−iiii-11i−i11-1-1−ii11-1-1-11i−i−ii−iii−ii−i-11-1111-1-1−i−iii11-1-1-11i−i-11−iii−i11-1-1−ii1-1-1111-1-111-1-1−i−i−iiii-11i−i11-1-1−ii11-1-1-11i−i−ii−iii−ii−i-11-1111-1-1−i−iii11-1-1-11i−i-11−iii−i
χ1611-1-1−ii1-1-1111-1-111-1-1−i−i−iiii-11i−i-1-111−ii-1-1111-1−iii−ii−ii−i−ii-111-1-1-111ii−i−i11-1-11-1−ii-11−iii−i11-1-1−ii1-1-1111-1-111-1-1−i−i−iiii-11i−i-1-111−ii-1-1111-1−iii−ii−ii−i−ii-111-1-1-111ii−i−i11-1-11-1−ii-11−iii−i
χ1722222222222222222222222222220000220000000000002200220000000000-1-1-1-10000-1-1-1-1-1-122222222222222222222222222220000220000000000002200220000000000-1-1-1-10000-1-1-1-1-1-1
χ18222222222222222222222222-2-2-2-2000022000000000000-2-200-2-20000000000-1-1-1-1000011-1-111222222222222222222222222-2-2-2-2000022000000000000-2-200-2-20000000000-1-1-1-1000011-1-111
χ192222-2-2222222222222-2-2-2-2-2-222-2-20000-2-2000000000000-2-200220000000000-1-1-1-10000-1-111112222-2-2222222222222-2-2-2-2-2-222-2-20000-2-2000000000000-2-200220000000000-1-1-1-10000-1-11111
χ202222-2-2222222222222-2-2-2-2-2-2-2-2220000-2-20000000000002200-2-20000000000-1-1-1-100001111-1-12222-2-2222222222222-2-2-2-2-2-2-2-2220000-2-20000000000002200-2-20000000000-1-1-1-100001111-1-1
χ2122-2-22i−2i2-2-2222-2-222-2-22i2i2i−2i−2i−2i2-22i−2i00002i−2i0000000000002i−2i002-20000000000-1-1110000-11−ii−ii22-2-22i−2i2-2-2222-2-222-2-22i2i2i−2i−2i−2i2-22i−2i00002i−2i0000000000002i−2i002-20000000000-1-1110000-11−ii−ii
χ2222-2-22i−2i2-2-2222-2-222-2-22i2i2i−2i−2i−2i-22−2i2i00002i−2i000000000000−2i2i00-220000000000-1-11100001-1−iii−i22-2-22i−2i2-2-2222-2-222-2-22i2i2i−2i−2i−2i-22−2i2i00002i−2i000000000000−2i2i00-220000000000-1-11100001-1−iii−i
χ2322-2-2−2i2i2-2-2222-2-222-2-2−2i−2i−2i2i2i2i2-2−2i2i0000−2i2i000000000000−2i2i002-20000000000-1-1110000-11i−ii−i22-2-2−2i2i2-2-2222-2-222-2-2−2i−2i−2i2i2i2i2-2−2i2i0000−2i2i000000000000−2i2i002-20000000000-1-1110000-11i−ii−i
χ2422-2-2−2i2i2-2-2222-2-222-2-2−2i−2i−2i2i2i2i-222i−2i0000−2i2i0000000000002i−2i00-220000000000-1-11100001-1i−i−ii22-2-2−2i2i2-2-2222-2-222-2-2−2i−2i−2i2i2i2i-222i−2i0000−2i2i0000000000002i−2i00-220000000000-1-11100001-1i−i−ii
χ252-22-200-2-222-2-22-2222-200000000002-22-2002-22-200000000000000002-22-200002-22-200000000002-22-200-2-222-2-22-2222-200000000002-22-2002-22-200000000000000002-22-200002-22-20000000000
χ262-22-200-2-222-2-22-2222-20000000000-22-2200-22-220000000000000000-22-2200002-22-200000000002-22-200-2-222-2-22-2222-20000000000-22-2200-22-220000000000000000-22-2200002-22-20000000000
χ272-2-2200-22-22-2-2-2222-2200000000002-2-22002-2-2200000000000000002-2-2200002-2-2200000000002-2-2200-22-22-2-2-2222-2200000000002-2-22002-2-2200000000000000002-2-2200002-2-220000000000
χ282-2-2200-22-22-2-2-2222-220000000000-222-200-222-20000000000000000-222-200002-2-2200000000002-2-2200-22-22-2-2-2222-220000000000-222-200-222-20000000000000000-222-200002-2-220000000000
χ293333333333-1-1-1-1-1-1-1-13-1-13-1-133331111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-10000-1-1-1-10000003333333333-1-1-1-1-1-1-1-13-1-13-1-133331111-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-10000-1-1-1-1000000
χ303333333333-1-1-1-1-1-1-1-13-1-13-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000011110000003333333333-1-1-1-1-1-1-1-13-1-13-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100001111000000
χ313333333333-1-1-1-1-1-1-1-13-1-13-1-1-3-3-3-31111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1000011110000003333333333-1-1-1-1-1-1-1-13-1-13-1-1-3-3-3-31111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-100001111000000
χ323333333333-1-1-1-1-1-1-1-13-1-13-1-1-3-3-3-3-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111110000-1-1-1-10000003333333333-1-1-1-1-1-1-1-13-1-13-1-1-3-3-3-3-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111110000-1-1-1-1000000
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χ343333-3-33333-1-1-1-1-1-1-1-1-311-31133-3-3-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1000011-1-10000003333-3-33333-1-1-1-1-1-1-1-1-311-31133-3-3-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1000011-1-1000000
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χ363333-3-33333-1-1-1-1-1-1-1-1-311-311-3-333-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-10000-1-1110000003333-3-33333-1-1-1-1-1-1-1-1-311-311-3-333-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-10000-1-111000000
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χ15212-12-1212004-44-44-444-44-4-40000000000000000000000000000000000000000000000000000000000-121212-1200-44-44-44-4-44-4440000000000000000000000000000000000000000000000000000000000

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