Finite Group Databasebeta

← Group #72227378

Character table — Group #72227378

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11222222244444444444444448888888888161616161616161624242424242424242424242424242424363636364848484872721122222224444444444444444888888888816161616161616162424242424242424242424242424242436363636484848487272
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ71111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
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χ1411-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-1111-1−ii-11i−i-1-111ii−i−i−ii−ii1-1−iii−i11-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-1111-1−ii-11i−i-1-111ii−i−i−ii−ii1-1−iii−i
χ1511-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-111-11i−i1-1−ii11-1-1−i−iii−ii−ii-11i−ii−i11-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-111-11i−i1-1−ii11-1-1−i−iii−ii−ii-11i−ii−i
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χ741111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ751111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ761111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ771111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7811-1111-1111-1-1-1-111-1-111-111-1-11-1-111-111-1-11-11-111-1-11-1i−i1-1i−i11-1-1ii−i−ii−ii−i1-1i−ii−i-1-11-1-1-11-1-1-11111-1-111-1-11-1-111-111-1-11-1-111-11-11-1-111-11−ii-11−ii-1-111−i−iii−ii−ii-11−ii−ii
χ7911-1111-1111-1-1-1-111-1-111-111-1-11-1-111-111-1-11-11-111-1-11-1−ii1-1−ii11-1-1−i−iii−ii−ii1-1−ii−ii-1-11-1-1-11-1-1-11111-1-111-1-11-1-111-111-1-11-1-111-11-11-1-111-11i−i-11i−i-1-111ii−i−ii−ii−i-11i−ii−i
χ8011-1111-1111-1-1-1-111-1-111-111-1-11-1-111-111-1-11-11-111-1-1-11i−i-11i−i-1-111ii−i−i−ii−ii-11i−i−ii-1-11-1-1-11-1-1-11111-1-111-1-11-1-111-111-1-11-1-111-11-11-1-1111-1−ii1-1−ii11-1-1−i−iiii−ii−i1-1−iii−i
χ8111-1111-1111-1-1-1-111-1-111-111-1-11-1-111-111-1-11-11-111-1-1-11−ii-11−ii-1-111−i−iiii−ii−i-11−iii−i-1-11-1-1-11-1-1-11111-1-111-1-11-1-111-111-1-11-1-111-11-11-1-1111-1i−i1-1i−i11-1-1ii−i−i−ii−ii1-1i−i−ii
χ8211-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-1111-1i−i-11−ii-1-111−i−iiii−ii−i1-1i−i−ii-1-11-1-1-11-1-1-11111-1-111-1-11-1-1111-11-1-11-1-1111-11-111-1-1-11−ii1-1i−i11-1-1ii−i−i−ii−ii-11−iii−i
χ8311-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-1111-1−ii-11i−i-1-111ii−i−i−ii−ii1-1−iii−i-1-11-1-1-11-1-1-11111-1-111-1-11-1-1111-11-1-11-1-1111-11-111-1-1-11i−i1-1−ii11-1-1−i−iiii−ii−i-11i−i−ii
χ8411-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-111-11i−i1-1−ii11-1-1−i−iii−ii−ii-11i−ii−i-1-11-1-1-11-1-1-11111-1-111-1-11-1-1111-11-1-11-1-1111-11-111-1-11-1−ii-11i−i-1-111ii−i−ii−ii−i1-1−ii−ii
χ8511-1111-1111-1-1-1-111-1-111-111-1-1-11-111-111-1-1-11-11-1-111-11−ii1-1i−i11-1-1ii−i−ii−ii−i-11−ii−ii-1-11-1-1-11-1-1-11111-1-111-1-11-1-1111-11-1-11-1-1111-11-111-1-11-1i−i-11−ii-1-111−i−iii−ii−ii1-1i−ii−i
χ86222222222222222-2-22222-2-2-2-20022-2-2-2-2-2-200000000000000000000000022-2-2000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222200-2-2222222000000000000000000000000-2-222000000
χ87222222222222222-2-22222-2-2-2-20022-2-2-2-2-2-2000000000000000000000000-2-222000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222200-2-222222200000000000000000000000022-2-2000000
χ882222-1222-1-12-1-1-1-122-12-12-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-122002200-1-1-1-100000000-1-10000-2-2-2-21-2-2-211-21111-2-21-21-211-2-2-2-211-211111-2-2111111-2-200-2-200111100000000110000
χ892222-1222-1-12-1-1-1-122-12-12-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200111100000000110000-2-2-2-21-2-2-211-21111-2-21-21-211-2-2-2-211-211111-2-211111122002200-1-1-1-100000000-1-10000
χ902222-1222-1-12-1-1-1-122-12-12-1-122-2-2-1-12-1-1-1-1-1-2-21111112200-2-200111100000000-1-10000-2-2-2-21-2-2-211-21111-2-21-21-211-2-22211-21111122-1-1-1-1-1-1-2-2002200-1-1-1-100000000110000
χ912222-1222-1-12-1-1-1-122-12-12-1-122-2-2-1-12-1-1-1-1-1-2-2111111-2-2002200-1-1-1-100000000110000-2-2-2-21-2-2-211-21111-2-21-21-211-2-22211-21111122-1-1-1-1-1-12200-2-200111100000000-1-10000
χ92222-1222-12-1-12-1-1-1222-12-122-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1002200220000-1-1-1-1000000-1-100-2-2-21-2-2-21-211-2111-2-2-21-21-2-211-2-2111-2111111-2-2111100-2-200-2-2000011110000001100
χ93222-1222-12-1-12-1-1-1222-12-122-1-122-1-1-12-1-1-1-1-1-122-1-1-1-100-2-200-2-2000011110000001100-2-2-21-2-2-21-211-2111-2-2-21-21-2-211-2-2111-2111111-2-21111002200220000-1-1-1-1000000-1-100
χ94222-1222-12-1-12-1-1-1222-12-122-1-1-2-2-1-1-12-1-1-1-111-2-21111002200-2-200001111000000-1-100-2-2-21-2-2-21-211-2111-2-2-21-21-2-21122111-21111-1-122-1-1-1-100-2-200220000-1-1-1-10000001100
χ95222-1222-12-1-12-1-1-1222-12-122-1-1-2-2-1-1-12-1-1-1-111-2-2111100-2-200220000-1-1-1-10000001100-2-2-21-2-2-21-211-2111-2-2-21-21-2-21122111-21111-1-122-1-1-1-1002200-2-200001111000000-1-100
χ9622-2222-2222-2-2-2-22-22-222-2-2-22200-22-22-2-2220000000000000000000000002i−2i−2i2i000000-2-22-2-2-22-2-2-22222-22-22-2-2222-2-2002-22-222-2-2000000000000000000000000−2i2i2i−2i000000
χ9722-2222-2222-2-2-2-22-22-222-2-2-22200-22-22-2-222000000000000000000000000−2i2i2i−2i000000-2-22-2-2-22-2-2-22222-22-22-2-2222-2-2002-22-222-2-20000000000000000000000002i−2i−2i2i000000
χ9822-22-12-22-1-1-2111-12-212-1-2-1-1-2-22-21-121-1-1112-2-11-1-1112-2002-200-1-11100000000-110000-2-22-21-22-2112-1-1-11-22-1-2121122-22-11-2-111-1-1-221-111-1-1-2200-220011-1-1000000001-10000
χ9922-22-12-22-1-1-2111-12-212-1-2-1-1-2-22-21-121-1-1112-2-11-1-111-2200-220011-1-1000000001-10000-2-22-21-22-2112-1-1-11-22-1-2121122-22-11-2-111-1-1-221-111-1-12-2002-200-1-11100000000-110000
χ10022-22-12-22-1-1-2111-12-212-1-2-1-1-2-2-221-121-1-111-221-111-1-12-200-220011-1-100000000-110000-2-22-21-22-2112-1-1-11-22-1-21211222-2-11-2-111-1-12-2-11-1-111-22002-200-1-111000000001-10000
χ10122-22-12-22-1-1-2111-12-212-1-2-1-1-2-2-221-121-1-111-221-111-1-1-22002-200-1-111000000001-10000-2-22-21-22-2112-1-1-11-22-1-21211222-2-11-2-111-1-12-2-11-1-1112-200-220011-1-100000000-110000
χ10222-2-122-2-12-11-211-12-2-2-12122112-21-1-1-2-1-111-112-2-1-111002i−2i002i−2i0000−i−iii000000−ii00-2-221-2-221-21-12-1-11-2221-2-1-2-2-1-1-22-111211-1-11-1-2211-1-100−2i2i00−2i2i0000ii−i−i000000i−i00
χ10322-2-122-2-12-11-211-12-2-2-12122112-21-1-1-2-1-111-112-2-1-11100−2i2i00−2i2i0000ii−i−i000000i−i00-2-221-2-221-21-12-1-11-2221-2-1-2-2-1-1-22-111211-1-11-1-2211-1-1002i−2i002i−2i0000−i−iii000000−ii00
χ10422-2-122-2-12-11-211-12-2-2-1212211-221-1-1-2-1-1111-1-2211-1-1002i−2i00−2i2i0000ii−i−i000000−ii00-2-221-2-221-21-12-1-11-2221-2-1-2-2-1-12-2-111211-1-1-112-2-1-11100−2i2i002i−2i0000−i−iii000000i−i00
χ10522-2-122-2-12-11-211-12-2-2-1212211-221-1-1-2-1-1111-1-2211-1-100−2i2i002i−2i0000−i−iii000000i−i00-2-221-2-221-21-12-1-11-2221-2-1-2-2-1-12-2-111211-1-1-112-2-1-111002i−2i00−2i2i0000ii−i−i000000−ii00
χ10644444-4-44444444400-4-4-4-4000000-4-40000000000000000000000000000000000000000-4-4-4-4-444-4-4-4-4-4-4-4-4004444000000440000000000000000000000000000000000000000
χ1074444-2444-2-24-2-2-2-2-4-4-24-2422-4-400-2-2-4222220000000000000000000000000000000000-4-4-4-42-4-4-422-42222442-42-4-2-24400224-2-2-2-2-20000000000000000000000000000000000
χ1084444-2-4-44-2-24-2-2-2-2002-42-4000000220000000000000000000000i6−i6i6−i600000000000000-4-4-4-4244-422-4222200-24-24000000-2-20000000000000000000000−i6i6−i6i600000000000000
χ1094444-2-4-44-2-24-2-2-2-2002-42-4000000220000000000000000000000−i6i6−i6i600000000000000-4-4-4-4244-422-4222200-24-24000000-2-20000000000000000000000i6−i6i6−i600000000000000
χ110444-2444-24-2-24-2-2-2-4-44-24-2-4-42200-2-22-422220000000000000000000000000000000000-4-4-42-4-4-42-422-422244-42-4244-2-20022-24-2-2-2-20000000000000000000000000000000000
χ111444-24-4-4-24-2-24-2-2-200-42-4200000022000000000000000000000000006−66−60000000000-4-4-42-4442-422-4222004-24-2000000-2-200000000000000000000000000−66−660000000000
χ112444-24-4-4-24-2-24-2-2-200-42-420000002200000000000000000000000000−66−660000000000-4-4-42-4442-422-4222004-24-2000000-2-2000000000000000000000000006−66−60000000000
χ113444-2-244-2-21-2-211144-2-2-2-2-2-2-2-24411-2-21111-2-2-2-2111100000000000000000000000000-4-4-422-4-422-122-1-1-1-4-422222222-4-4-1-122-1-1-1-12222-1-1-1-100000000000000000000000000
χ114444-2-244-2-21-2-211144-2-2-2-2-2-2-2-2-4-411-2-211112222-1-1-1-100000000000000000000000000-4-4-422-4-422-122-1-1-1-4-42222222244-1-122-1-1-1-1-2-2-2-2111100000000000000000000000000
χ115444-2-244-2-21-2-2111-4-4-2-2-2-22222001122-1-1-1-100003-33-300000000000000000000000000-4-4-422-4-422-122-1-1-1442222-2-2-2-200-1-1-2-211110000-33-3300000000000000000000000000
χ116444-2-244-2-21-2-2111-4-4-2-2-2-22222001122-1-1-1-10000-33-3300000000000000000000000000-4-4-422-4-422-122-1-1-1442222-2-2-2-200-1-1-2-2111100003-33-300000000000000000000000000
χ11744-444-44444-4-4-4-44004-4-440000004-40000000000000000000000000000000000000000-4-44-4-44-4-4-4-44444-400-444-4000000-440000000000000000000000000000000000000000
χ11844-44-24-44-2-2-4222-2-4424-2-42244002-2-4-222-2-20000000000000000000000000000000000-4-44-42-44-4224-2-2-224-4-2-424-2-2-4-400-2242-2-2220000000000000000000000000000000000
χ11944-44-2-444-2-2-4222-200-2-424000000-220000000000000000000000i6−i6−i6i600000000000000-4-44-424-4-4224-2-2-220024-2-40000002-20000000000000000000000−i6i6i6−i600000000000000
χ12044-44-2-444-2-2-4222-200-2-424000000-220000000000000000000000−i6i6i6−i600000000000000-4-44-424-4-4224-2-2-220024-2-40000002-20000000000000000000000i6−i6−i6i600000000000000
χ12144-4-244-4-24-22-422-2-44-4-242-4-4-2-2002-22422-2-20000000000000000000000000000000000-4-442-4-442-42-24-2-224-442-4-2442200-22-2-4-2-2220000000000000000000000000000000000
χ12244-4-24-44-24-22-422-20042-4-2000000-2200000000000000000000000000i6−i6−i6i60000000000-4-442-44-42-42-24-2-2200-4-2420000002-200000000000000000000000000−i6i6i6−i60000000000
χ12344-4-24-44-24-22-422-20042-4-2000000-2200000000000000000000000000−i6i6i6−i60000000000-4-442-44-42-42-24-2-2200-4-2420000002-200000000000000000000000000i6−i6−i6i60000000000
χ12444-4-2-24-4-2-2122-1-114-42-2-22-2-2224-4-11-2211-1-1-22-2211-1-100000000000000000000000000-4-4422-4422-1-2-211-1-44-222-222-2-2-441-12-2-1-1112-22-2-1-11100000000000000000000000000
χ12544-4-2-24-4-2-2122-1-114-42-2-22-2-222-44-11-2211-1-12-22-2-1-11100000000000000000000000000-4-4422-4422-1-2-211-1-44-222-222-2-24-41-12-2-1-111-22-2211-1-100000000000000000000000000
χ12644-4-2-24-4-2-2122-1-11-442-2-2222-2-200-112-2-1-11100003-3-3300000000000000000000000000-4-4422-4422-1-2-211-14-4-222-2-2-222001-1-2211-1-10000-333-300000000000000000000000000
χ12744-4-2-24-4-2-2122-1-11-442-2-2222-2-200-112-2-1-1110000-333-300000000000000000000000000-4-4422-4422-1-2-211-14-4-222-2-2-222001-1-2211-1-100003-3-3300000000000000000000000000
χ128888-4-4-8-8-4-42-4-4222004444000000-2-20000000000000000000000000000000000000000-8-8-8448844-244-2-2-200-4-4-4-4000000220000000000000000000000000000000000000000
χ12988-8-4-4-88-4-4244-2-2200-444-40000002-20000000000000000000000000000000000000000-8-88448-844-2-4-422-2004-4-44000000-220000000000000000000000000000000000000000
χ1308-808800-8-880000-8000000000000000000000000000000000000000000000000000000-880-8-80088-800008000000000000000000000000000000000000000000000000000000
χ1318-808-400-84-4000040000002i6−2i6000000002i6−2i6000000000000000000000000000000000000-880-84008-440000-4000000−2i62i600000000−2i62i6000000000000000000000000000000000000
χ1328-808-400-84-400004000000−2i62i600000000−2i62i6000000000000000000000000000000000000-880-84008-440000-40000002i6−2i6000000002i6−2i6000000000000000000000000000000000000
χ1338-80-48004-8-400004000000002i6−2i6000000002i6−2i60000000000000000000000000000000000-8804-800-4840000-400000000−2i62i600000000−2i62i60000000000000000000000000000000000
χ1348-80-48004-8-40000400000000−2i62i600000000−2i62i60000000000000000000000000000000000-8804-800-4840000-4000000002i6−2i6000000002i6−2i60000000000000000000000000000000000
χ1358-80-4-400442006-6-20000002i6−2i62i6−2i6000000−i6i6−i6i60000000000000000000000000000000000-8804400-4-4-200-662000000−2i62i6−2i62i6000000i6−i6i6−i60000000000000000000000000000000000
χ1368-80-4-400442006-6-2000000−2i62i6−2i62i6000000i6−i6i6−i60000000000000000000000000000000000-8804400-4-4-200-6620000002i6−2i62i6−2i6000000−i6i6−i6i60000000000000000000000000000000000
χ1378-80-4-40044200-66-20000002i6−2i6−2i62i6000000−i6i6i6−i60000000000000000000000000000000000-8804400-4-4-2006-62000000−2i62i62i6−2i6000000i6−i6−i6i60000000000000000000000000000000000
χ1388-80-4-40044200-66-2000000−2i62i62i6−2i6000000i6−i6−i6i60000000000000000000000000000000000-8804400-4-4-2006-620000002i6−2i6−2i62i6000000−i6i6i6−i60000000000000000000000000000000000

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