Finite Group Databasebeta

← Group #10592479

Character table — Group #10592479

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222222222222222244444444444444444444444444888888888888888888363636367272
order12223333446666666666668812121212121212122424242424242424242424242424242424666666661212121212121212248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-11-1
χ61111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-11
χ71111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-11
χ81111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1111-1
χ922222222-2-222222222222200-2-2-2-2-2-2-2-200000000000000000000000000000000002-20000
χ1022222222-2-222222222222200-2-2-2-2-2-2-2-20000000000000000000000000000000000-220000
χ1122222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000
χ1222222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000
χ1322222-1-1-1222-1-1-12-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-21111111111112-222-1-1-1-1-1-1-2-2111111000000
χ1422222-1-1-1222-1-1-12-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-1000000
χ152222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000
χ162222-12-1-122-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-21111000000
χ172222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111112-2-1-122-1-1-1-111-2-21111000000
χ182222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-12-1-1-12-1-11111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-1000000
χ192222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1000000
χ202222-1-12-122-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-211000000
χ212222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-1-12-1-1-12-111111111-2-2-2-211112-2-1-1-1-122-1-11111-2-211000000
χ222222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-1-12-1-1-12-111111111-2-2-2-21111-221111-2-211-1-1-1-122-1-1000000
χ232222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122000000
χ242222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2000000
χ252222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111111111-2-2-2-22-2-1-1-1-1-1-122111111-2-2000000
χ262222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-1-1-12-1-1-12111111111111-2-2-2-2-22111111-2-2-1-1-1-1-1-122000000
χ272-2-2222222-2-2-2-2-22222-2-2-2-22i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ282-2-2222222-2-2-2-2-22222-2-2-2-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ292-2-222222-22-2-2-2-22222-2-2-2-200-2-2-2-222220000000000000000000000000000000000002-200
χ302-2-222222-22-2-2-2-22222-2-2-2-200-2-2-2-22222000000000000000000000000000000000000-2200
χ312-2-222-1-1-12-2-21112-1-1-1-21112i−2i2-1-1-1-21112i2i−2i−2i−i−iii−i−iii−i−iii0000−i3i3−i3i3−i3i3003−33−33−3000000
χ322-2-222-1-1-12-2-21112-1-1-1-21112i−2i2-1-1-1-21112i2i−2i−2i−i−iii−i−iii−i−iii0000i3−i3i3−i3i3−i300−33−33−33000000
χ332-2-222-1-1-12-2-21112-1-1-1-2111−2i2i2-1-1-1-2111−2i−2i2i2iii−i−iii−i−iii−i−i0000−i3i3−i3i3−i3i300−33−33−33000000
χ342-2-222-1-1-12-2-21112-1-1-1-2111−2i2i2-1-1-1-2111−2i−2i2i2iii−i−iii−i−iii−i−i0000i3−i3i3−i3i3−i3003−33−33−3000000
χ352-2-22-12-1-12-21-211-12-1-11-2112i−2i-12-1-11-211−i−iii2i2i−2i−2i−i−iii−i−iii00−i3i300−i3i3i3−i33−3003−3−33000000
χ362-2-22-12-1-12-21-211-12-1-11-2112i−2i-12-1-11-211−i−iii2i2i−2i−2i−i−iii−i−iii00i3−i300i3−i3−i3i3−3300−333−3000000
χ372-2-22-12-1-12-21-211-12-1-11-211−2i2i-12-1-11-211ii−i−i−2i−2i2i2iii−i−iii−i−i00−i3i300−i3i3i3−i3−3300−333−3000000
χ382-2-22-12-1-12-21-211-12-1-11-211−2i2i-12-1-11-211ii−i−i−2i−2i2i2iii−i−iii−i−i00i3−i300i3−i3−i3i33−3003−3−33000000
χ392-2-22-1-12-12-211-21-1-12-111-212i−2i-1-12-111-21−i−iii−i−iii2i2i−2i−2i−i−iii00−i3i3i3−i300−i3i33−3−33003−3000000
χ402-2-22-1-12-12-211-21-1-12-111-212i−2i-1-12-111-21−i−iii−i−iii2i2i−2i−2i−i−iii00i3−i3−i3i300i3−i3−333−300−33000000
χ412-2-22-1-12-12-211-21-1-12-111-21−2i2i-1-12-111-21ii−i−iii−i−i−2i−2i2i2iii−i−i00−i3i3i3−i300−i3i3−333−300−33000000
χ422-2-22-1-12-12-211-21-1-12-111-21−2i2i-1-12-111-21ii−i−iii−i−i−2i−2i2i2iii−i−i00i3−i3−i3i300i3−i33−3−33003−3000000
χ432-2-22-1-1-122-2111-2-1-1-12111-22i−2i-1-1-12111-2−i−iii−i−iii−i−iii2i2i−2i−2i00−i3i3−i3i3i3−i3003−33−3−3300000000
χ442-2-22-1-1-122-2111-2-1-1-12111-22i−2i-1-1-12111-2−i−iii−i−iii−i−iii2i2i−2i−2i00i3−i3i3−i3−i3i300−33−333−300000000
χ452-2-22-1-1-122-2111-2-1-1-12111-2−2i2i-1-1-12111-2ii−i−iii−i−iii−i−i−2i−2i2i2i00−i3i3−i3i3i3−i300−33−333−300000000
χ462-2-22-1-1-122-2111-2-1-1-12111-2−2i2i-1-1-12111-2ii−i−iii−i−iii−i−i−2i−2i2i2i00i3−i3i3−i3−i3i3003−33−3−3300000000
χ4744444-2-2-2-4-44-2-2-24-2-2-24-2-2-200-4222-42220000000000000000000000000000000000000000
χ484444-24-2-2-4-4-24-2-2-24-2-2-24-2-2002-4222-4220000000000000000000000000000000000000000
χ494444-2-24-2-4-4-2-24-2-2-24-2-2-24-20022-4222-420000000000000000000000000000000000000000
χ504444-2-2-24-4-4-2-2-24-2-2-24-2-2-2400222-4222-40000000000000000000000000000000000000000
χ5144-4-44444004444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000
χ5244-4-44-2-2-2004-2-2-2-4222-4222000000000000006−66−66−66−66−66−6000000000000000000000000
χ5344-4-44-2-2-2004-2-2-2-4222-422200000000000000−66−66−66−66−66−66000000000000000000000000
χ5444-4-4-24-2-200-24-2-22-4222-42200000000006−66−600006−66−6−66−66000000000000000000000000
χ5544-4-4-24-2-200-24-2-22-4222-4220000000000−66−660000−66−666−66−6000000000000000000000000
χ5644-4-4-2-24-200-2-24-222-4222-4200000000006−66−6−66−6600006−66−6000000000000000000000000
χ5744-4-4-2-24-200-2-24-222-4222-420000000000−66−666−66−60000−66−66000000000000000000000000
χ5844-4-4-2-2-2400-2-2-24222-4222-400000000006−66−66−66−6−66−660000000000000000000000000000
χ5944-4-4-2-2-2400-2-2-24222-4222-40000000000−66−66−66−666−66−60000000000000000000000000000
χ604-44-4444400-4-4-4-4-4-4-4-4444400000000000000000000000000000000000000000000000000
χ614-44-44-2-2-200-4222-42224-2-2-200000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000
χ624-44-44-2-2-200-4222-42224-2-2-200000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000
χ634-44-4-24-2-2002-4222-422-24-2-20000000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6000000000000000000000000
χ644-44-4-24-2-2002-4222-422-24-2-20000000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6000000000000000000000000
χ654-44-4-2-24-20022-4222-42-2-24-20000000000i6−i6−i6i6−i6i6i6−i60000i6−i6−i6i6000000000000000000000000
χ664-44-4-2-24-20022-4222-42-2-24-20000000000−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i6000000000000000000000000
χ674-44-4-2-2-2400222-4222-4-2-2-240000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ684-44-4-2-2-2400222-4222-4-2-2-240000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ694-4-444-2-2-2-44-42224-2-2-2-422200-42224-2-2-20000000000000000000000000000000000000000
χ704-4-44-24-2-2-442-422-24-2-22-422002-422-24-2-20000000000000000000000000000000000000000
χ714-4-44-2-24-2-4422-42-2-24-222-420022-42-2-24-20000000000000000000000000000000000000000
χ724-4-44-2-2-24-44222-4-2-2-24222-400222-4-2-2-240000000000000000000000000000000000000000

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