Finite Group Databasebeta

← Group #11786582

Character table — Group #11786582

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12222233444466666636666666666612121212121212124412121212121212121212121212121212121212124444444488881212121212121212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−ii−ii−ii−i1-11-1i−ii−ii−ii−i11-1-111-1-111-1-1ii−i−i
χ1011-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−ii−i−iii−i−ii1-1-11i−i−iii−i−ii11-1-1-1-111-1-111−i−iii
χ1111-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−iii−i−iii−i-111-1−iii−i−iii−i-1-11111-1-1-1-111−i−iii
χ1211-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−ii−ii−ii−ii-11-11−ii−ii−ii−ii-1-111-1-11111-1-1ii−i−i
χ1311-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−ii−ii−ii−i-11-11i−ii−ii−ii−i-1-111-1-11111-1-1−i−iii
χ1411-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiii−i−iii−i−ii-111-1i−i−iii−i−ii-1-11111-1-1-1-111ii−i−i
χ1511-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−iii−i−iii−i1-1-11−iii−i−iii−i11-1-1-1-111-1-111ii−i−i
χ1611-1-11-111-1-11111-1-1-1-1111-1-111-1-1-11-111-1-1-1-111−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−ii−ii−ii−ii1-11-1−ii−ii−ii−ii11-1-111-1-111-1-1−i−iii
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000002-22-20000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000000-22-220000
χ192222222-122222-12-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100220022002200-1-100-1-10000-1-1-1-100000000
χ202222222-122222-12-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200-2-2001100110000111100000000
χ212222222-122222-12-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-211-1-1-1-1111111110022002200-2-200-1-100-1-10000111100000000
χ222222222-122222-12-12-1-12-12-1-1-1-1-1-1-1-12-122-1-12-1-2-2-2-211-2-211-1-1-1-11111111100-2-200-2-20022001100110000-1-1-1-100000000
χ23222222-122222-12-12-12-1-12-12-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002200-1-100-1-100-1-1-1-1000000000000
χ24222222-122222-12-12-12-1-12-12-1-1-1-1-1-1-1-12-1-122-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-200110011001111000000000000
χ25222222-122222-12-12-12-1-12-12-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-2-1-1-1-11111111122002200-2-200-1-100-1-1001111000000000000
χ26222222-122222-12-12-12-1-12-12-1-1-1-1-1-1-1-12-1-122-12-2-211-2-211-2-2-1-1-1-111111111-2-200-2-200220011001100-1-1-1-1000000000000
χ272222-2-2222-22-22222222-2-2-2-2-2-22-2-2222-22-22-2-2200000000002-22-200000000002200-2-20000002200-2-20000000000000000
χ282222-2-2222-22-22222222-2-2-2-2-2-22-2-2222-22-22-2-2200000000002-22-20000000000-2-20022000000-2-200220000000000000000
χ292222-2-222-22-222222222-2-2-2-2-2-22-2-222-22-22-222-20000000000-22-22000000002200-2-20000002200-2-2000000000000000000
χ302222-2-222-22-222222222-2-2-2-2-2-22-2-222-22-22-222-20000000000-22-2200000000-2-20022000000-2-20022000000000000000000
χ312222-2-22-12-22-22-12-12-1-1-21-2111-111-1-1212-2-11-2-10000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i3002200-2-2000000-1-100110000−i3i3−i3i300000000
χ322222-2-22-12-22-22-12-12-1-1-21-2111-111-1-1212-2-11-2-10000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i300-2-200220000001100-1-10000i3−i3i3−i300000000
χ332222-2-22-12-22-22-12-12-1-1-21-2111-111-1-1212-2-11-2-10000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i3002200-2-2000000-1-100110000i3−i3i3−i300000000
χ342222-2-22-12-22-22-12-12-1-1-21-2111-111-1-1212-2-11-2-10000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i300-2-200220000001100-1-10000−i3i3−i3i300000000
χ352222-2-2-12-22-22-12-12-12-11-21-211-111-1-1121-1-22-1-200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i32200-2-2000000-1-1001100−i3i3−i3i3000000000000
χ362222-2-2-12-22-22-12-12-12-11-21-211-111-1-1121-1-22-1-200−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3-2-200220000001100-1-100i3−i3i3−i3000000000000
χ372222-2-2-12-22-22-12-12-12-11-21-211-111-1-1121-1-22-1-200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i32200-2-2000000-1-1001100i3−i3i3−i3000000000000
χ382222-2-2-12-22-22-12-12-12-11-21-211-111-1-1121-1-22-1-200i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i3-2-200220000001100-1-100−i3i3−i3i3000000000000
χ3922-2-22-22222-2-222-2-2-2-2222-2-222-2-2-22-2-2-22222-2-20000000000-2-2220000000000000000000000000000000000002-2-220000
χ4022-2-22-22222-2-222-2-2-2-2222-2-222-2-2-22-2-2-22222-2-20000000000-2-222000000000000000000000000000000000000-222-20000
χ4122-2-22-22-1-2-2222-1-21-21-12-1-21-1-1111-112-1-2-2112-12i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii002i−2i002i−2i002-200−ii00−ii0000-1-11100000000
χ4222-2-22-22-1-2-2222-1-21-21-12-1-21-1-1111-112-1-2-2112-12i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00−2i2i00−2i2i00-2200i−i00i−i000011-1-100000000
χ4322-2-22-22-1-2-2222-1-21-21-12-1-21-1-1111-112-1-2-2112-1−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i002i−2i002i−2i00-2200−ii00−ii000011-1-100000000
χ4422-2-22-22-1-2-2222-1-21-21-12-1-21-1-1111-112-1-2-2112-1−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00−2i2i00−2i2i002-200i−i00i−i0000-1-11100000000
χ4522-2-22-2-12-2-222-121-21-2-1-121-2-1-1111-11-1211-2-2-122i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii2i−2i002i−2i002-200−ii00−ii00-1-111000000000000
χ4622-2-22-2-12-2-222-121-21-2-1-121-2-1-1111-11-1211-2-2-122i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii−2i2i00−2i2i00-2200i−i00i−i0011-1-1000000000000
χ4722-2-22-2-12-2-222-121-21-2-1-121-2-1-1111-11-1211-2-2-12−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i2i−2i002i−2i00-2200−ii00−ii0011-1-1000000000000
χ4822-2-22-2-12-2-222-121-21-2-1-121-2-1-1111-11-1211-2-2-12−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i−2i2i00−2i2i002-200i−i00i−i00-1-111000000000000
χ4922-2-2-22222-2-2222-2-2-2-22-2-222-2-2-2222-2-222-22-22-20000000000-222-2000000002i−2i00−2i2i0000002i−2i00−2i2i000000000000000000
χ5022-2-2-22222-2-2222-2-2-2-22-2-222-2-2-2222-2-222-22-22-20000000000-222-200000000−2i2i002i−2i000000−2i2i002i−2i000000000000000000
χ5122-2-2-2222-222-222-2-2-2-22-2-222-2-2-2222-22-2-22-22-2200000000002-2-2200000000002i−2i00−2i2i0000002i−2i00−2i2i0000000000000000
χ5222-2-2-2222-222-222-2-2-2-22-2-222-2-2-2222-22-2-22-22-2200000000002-2-220000000000−2i2i002i−2i000000−2i2i002i−2i0000000000000000
χ5322-2-2-222-1-222-22-1-21-21-1-212-1111-1-1-1121-221-1-2-100003−300−33-111-133−3−3−3−333002i−2i00−2i2i000000−ii00i−i0000−i3i3i3−i300000000
χ5422-2-2-222-1-222-22-1-21-21-1-212-1111-1-1-1121-221-1-2-100003−300−33-111-133−3−3−3−33300−2i2i002i−2i000000i−i00−ii0000i3−i3−i3i300000000
χ5522-2-2-222-1-222-22-1-21-21-1-212-1111-1-1-1121-221-1-2-10000−33003−3-111-1−3−33333−3−3002i−2i00−2i2i000000−ii00i−i0000i3−i3−i3i300000000
χ5622-2-2-222-1-222-22-1-21-21-1-212-1111-1-1-1121-221-1-2-10000−33003−3-111-1−3−33333−3−300−2i2i002i−2i000000i−i00−ii0000−i3i3i3−i300000000
χ5722-2-2-22-122-2-22-121-21-2-11-2-12111-1-1-1112-112-2-1-2003−300−33001-1-113−33−3−33−332i−2i00−2i2i000000−ii00i−i00−i3i3i3−i3000000000000
χ5822-2-2-22-122-2-22-121-21-2-11-2-12111-1-1-1112-112-2-1-2003−300−33001-1-113−33−3−33−33−2i2i002i−2i000000i−i00−ii00i3−i3−i3i3000000000000
χ5922-2-2-22-122-2-22-121-21-2-11-2-12111-1-1-1112-112-2-1-200−33003−3001-1-11−33−333−33−32i−2i00−2i2i000000−ii00i−i00i3−i3−i3i3000000000000
χ6022-2-2-22-122-2-22-121-21-2-11-2-12111-1-1-1112-112-2-1-200−33003−3001-1-11−33−333−33−3−2i2i002i−2i000000i−i00−ii00−i3i3i3−i3000000000000
χ614444444-2-4-4-4-44-24-24-2-24-24-2-2-2-2-2-2-2-2-42-4-422-420000000000222200000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-24-24-24-2-24-24-2-2-2-2-2-2-22-422-4-42-40000000000222200000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-13-3-333-3-33000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-333-3-333-3000000000000000000000000000000000000
χ674444-4-44-2-44-444-24-24-2-2-42-4222-222-2-2-4-2-442-24200000000002-22-200000000000000000000000000000000000000000000
χ684444-4-4-244-44-4-24-24-24-22-42-422-222-2-2-2-4-224-4240000000000-22-2200000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222-1-11-1-111-22-22-222-20000−2i32i300−2i32i31-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222-1-11-1-111-22-22-222-200002i3−2i3002i3−2i31-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-212222-1-11-1-1112-22-22-2-2200−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-212222-1-11-1-1112-22-22-2-22002i3−2i3002i3−2i300-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ7344-4-44-44-244-4-44-2-42-42-24-2-42-2-2222-22-4244-2-2-42000000000022-2-200000000000000000000000000000000000000000000
χ7444-4-44-4-2444-4-4-242-42-4-2-242-4-2-2222-222-4-2-2442-4000000000022-2-200000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-2-222221-2-22211-1-1-11-122-2-2-2-2220000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-4-2-222221-2-22211-1-1-11-122-2-2-2-2220000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-2-222221-2-22211-1-1-11-1-2-22222-2-24i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-444-2-222221-2-22211-1-1-11-1-2-22222-2-2−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii000000000000000000000000000000000000
χ7944-4-4-444-24-4-444-2-42-42-2-424-2222-2-2-22-4-24-4-224200000000002-2-2200000000000000000000000000000000000000000000
χ8044-4-4-44-24-444-4-242-42-4-22-4-24222-2-2-22-2-42-2-44240000000000-222-200000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-44-2-22222122-2-2-1-1-1111-12-2-22-22-220023−2300−232300-111-1−33−333−33−3000000000000000000000000000000000000
χ8244-4-4-44-2-24-4-44-2-22222122-2-2-1-1-1111-12-2-22-22-2200−23230023−2300-111-13−33−3−33−33000000000000000000000000000000000000
χ8344-4-4-44-2-2-444-4-2-22222122-2-2-1-1-1111-1-222-22-22-2000023−2300−23231-1-11−3−33333−3−3000000000000000000000000000000000000
χ8444-4-4-44-2-2-444-4-2-22222122-2-2-1-1-1111-1-222-22-22-20000−23230023−231-1-1133−3−3−3−333000000000000000000000000000000000000
χ854-44-400440000-4-444-4-44000000400-4-4000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ864-44-400440000-4-444-4-44000000400-4-400000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ874-4-4400440000-4-4-4-4444000000-400-44000000000000000000000000000000000000000000000000000000000000002-2-22
χ884-4-4400440000-4-4-4-4444000000-400-4400000000000000000000000000000000000000000000000000000000000000-222-2
χ898-88-8008-40000-848-4-84-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800004-8-484-8-4000000-40044000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-4000044-4-444200006-626-6-2-2000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-4000044-4-44420000-662-66-2-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-848-4-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-84-8-48-40000004004-4000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004444-4-4200006-6-2-66-22000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004444-4-420000-66-26-6-22000000000000000000000000000000000000000000000000000000000000000000

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