Finite Group Databasebeta

← Group #10592482

Character table — Group #10592482

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222222224444444444444444444444444444888888888888888881818363636363672
order12223333446666666666662288121212121212121224242424242424242424242424242424466666666121212121212121244244884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ61111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-11
χ81111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-11111-1
χ922222222-2-22222222222220000-2-2-2-2-2-2-2-200000000000000000000000000000000022-200000
χ1022222222-2-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000-2-2200000
χ1122222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ1222222-1-1-1222-1-1-12-1-1-12-1-1-122-2-22-1-1-12-1-1-1-2-2-2-2111111111111-222-1-1-1-1-1-1-2-211111100000000
χ1322222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2111111-2-211111100000000
χ1422222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-21111111111112-2-211111122-1-1-1-1-1-100000000
χ152222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-100000000
χ162222-12-1-122-12-1-1-12-1-1-12-1-122-2-2-12-1-1-12-1-11111-2-2-2-211111111-2-1-122-1-1-1-111-2-2111100000000
χ172222-12-1-122-12-1-1-12-1-1-12-1-1-2-222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111111-2-2111100000000
χ182222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-211111111211-2-21111-1-122-1-1-1-100000000
χ192222-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-100000000
χ202222-1-12-122-1-12-1-1-12-1-1-12-122-2-2-1-12-1-1-12-111111111-2-2-2-21111-2-1-1-1-122-1-11111-2-21100000000
χ212222-1-12-122-1-12-1-1-12-1-1-12-1-2-222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-2111111-2-21100000000
χ222222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-2111121111-2-211-1-1-1-122-1-100000000
χ232222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12200000000
χ242222-1-1-1222-1-1-12-1-1-12-1-1-1222-2-2-1-1-12-1-1-12111111111111-2-2-2-2-2-1-1-1-1-1-122111111-2-200000000
χ252222-1-1-1222-1-1-12-1-1-12-1-1-12-2-222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-2111111-2-200000000
χ262222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-22111111-2-2-1-1-1-1-1-12200000000
χ272-22-2222200-2-2-2-2-2-2-2-22222002−20000000022−2−222−2−222−2−222−2−2000000000000000002i−2i000−i2i20
χ282-22-2222200-2-2-2-2-2-2-2-22222002−20000000022−2−222−2−222−2−222−2−200000000000000000−2i2i000i2−i20
χ292-22-2222200-2-2-2-2-2-2-2-2222200−2200000000−2−222−2−222−2−222−2−222000000000000000002i−2i000i2−i20
χ302-22-2222200-2-2-2-2-2-2-2-2222200−2200000000−2−222−2−222−2−222−2−22200000000000000000−2i2i000−i2i20
χ312-2-2222222-2-2-2-2-22222-2-2-2-20000-2-2-2-222220000000000000000000000000000000000002-2000
χ322-2-2222222-2-2-2-2-22222-2-2-2-20000-2-2-2-22222000000000000000000000000000000000000-22000
χ332-2-222222-22-2-2-2-22222-2-2-2-22-2002222-2-2-2-2000000000000000002-22-22-22-20000000000000000
χ342-2-222222-22-2-2-2-22222-2-2-2-2-22002222-2-2-2-200000000000000000-22-22-22-220000000000000000
χ352-2-222-1-1-1-22-21112-1-1-1-21112-2002-1-1-1-211100003−33−33−33−33−33−302-2-11-11-11003−33−33−300000000
χ362-2-222-1-1-1-22-21112-1-1-1-21112-2002-1-1-1-21110000−33−33−33−33−33−3302-2-11-11-1100−33−33−3300000000
χ372-2-222-1-1-1-22-21112-1-1-1-2111-22002-1-1-1-211100003−33−33−33−33−33−30-221-11-11-100−33−33−3300000000
χ382-2-222-1-1-1-22-21112-1-1-1-2111-22002-1-1-1-21110000−33−33−33−33−33−330-221-11-11-1003−33−33−300000000
χ392-2-22-12-1-1-221-211-12-1-11-2112-200-12-1-11-2113−33−300003−33−3−33−330-112-2-11-113−3003−3−3300000000
χ402-2-22-12-1-1-221-211-12-1-11-2112-200-12-1-11-211−33−330000−33−333−33−30-112-2-11-11−3300−333−300000000
χ412-2-22-12-1-1-221-211-12-1-11-211-2200-12-1-11-2113−33−300003−33−3−33−3301-1-221-11-1−3300−333−300000000
χ422-2-22-12-1-1-221-211-12-1-11-211-2200-12-1-11-211−33−330000−33−333−33−301-1-221-11-13−3003−3−3300000000
χ432-2-22-1-12-1-2211-21-1-12-111-212-200-1-12-111-213−33−3−33−3300003−33−30-11-112-2-113−3−33003−300000000
χ442-2-22-1-12-1-2211-21-1-12-111-212-200-1-12-111-21−33−333−33−30000−33−330-11-112-2-11−333−300−3300000000
χ452-2-22-1-12-1-2211-21-1-12-111-21-2200-1-12-111-213−33−3−33−3300003−33−301-11-1-221-1−333−300−3300000000
χ462-2-22-1-12-1-2211-21-1-12-111-21-2200-1-12-111-21−33−333−33−30000−33−3301-11-1-221-13−3−33003−300000000
χ472-2-22-1-1-12-22111-2-1-1-12111-22-200-1-1-12111-23−33−33−33−3−33−3300000-11-11-112-23−33−3−330000000000
χ482-2-22-1-1-12-22111-2-1-1-12111-22-200-1-1-12111-2−33−33−33−333−33−300000-11-11-112-2−33−333−30000000000
χ492-2-22-1-1-12-22111-2-1-1-12111-2-2200-1-1-12111-23−33−33−33−3−33−33000001-11-11-1-22−33−333−30000000000
χ502-2-22-1-1-12-22111-2-1-1-12111-2-2200-1-1-12111-2−33−33−33−333−33−3000001-11-11-1-223−33−3−330000000000
χ5144444-2-2-2-4-44-2-2-24-2-2-24-2-2-20000-4222-422200000000000000000000000000000000000000000
χ524444-24-2-2-4-4-24-2-2-24-2-2-24-2-200002-4222-42200000000000000000000000000000000000000000
χ534444-2-24-2-4-4-2-24-2-2-24-2-2-24-2000022-4222-4200000000000000000000000000000000000000000
χ544444-2-2-24-4-4-2-2-24-2-2-24-2-2-240000222-4222-400000000000000000000000000000000000000000
χ5544-4-44444004444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000
χ5644-4-44-2-2-2004-2-2-2-4222-422200000000000000006−6−666−6−666−6−660000000000000000000000000
χ5744-4-44-2-2-2004-2-2-2-4222-42220000000000000000−666−6−666−6−666−60000000000000000000000000
χ5844-4-4-24-2-200-24-2-22-4222-4220000000000006−6−6600006−6−66−666−60000000000000000000000000
χ5944-4-4-24-2-200-24-2-22-4222-422000000000000−666−60000−666−66−6−660000000000000000000000000
χ6044-4-4-2-24-200-2-24-222-4222-420000000000006−6−66−666−600006−6−660000000000000000000000000
χ6144-4-4-2-24-200-2-24-222-4222-42000000000000−666−66−6−660000−666−60000000000000000000000000
χ6244-4-4-2-2-2400-2-2-24222-4222-40000000000006−6−666−6−66−666−600000000000000000000000000000
χ6344-4-4-2-2-2400-2-2-24222-4222-4000000000000−666−6−666−66−6−6600000000000000000000000000000
χ644-44-44-2-2-200-4222-42224-2-2-20022−22000000002222−22−22−2−222−2−222−2−2220000000000000000000000000
χ654-44-44-2-2-200-4222-42224-2-2-200−222200000000−22−22222222−2−222−2−222−2−20000000000000000000000000
χ664-44-4-24-2-2002-4222-422-24-2-20022−2200000000−2−2222222−22−22−2−222−2−2220000000000000000000000000
χ674-44-4-24-2-2002-4222-422-24-2-200−22220000000022−2−2−22−22222222−2−222−2−20000000000000000000000000
χ684-44-4-2-24-20022-4222-42-2-24-20022−2200000000−2−222−2−2222222−22−22−2−2220000000000000000000000000
χ694-44-4-2-24-20022-4222-42-2-24-200−22220000000022−2−222−2−2−22−22222222−2−20000000000000000000000000
χ704-44-4-2-2-2400222-4222-4-2-2-240022−2200000000−2−222−2−222−2−2222222−22−220000000000000000000000000
χ714-44-4-2-2-2400222-4222-4-2-2-2400−22220000000022−2−222−2−222−2−2−22−2222220000000000000000000000000
χ724-4-444-2-2-24-4-42224-2-2-2-42220000-42224-2-2-200000000000000000000000000000000000000000
χ734-4-44-24-2-24-42-422-24-2-22-42200002-422-24-2-200000000000000000000000000000000000000000
χ744-4-44-2-24-24-422-42-2-24-222-42000022-42-2-24-200000000000000000000000000000000000000000
χ754-4-44-2-2-244-4222-4-2-2-24222-40000222-4-2-2-2400000000000000000000000000000000000000000

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