Finite Group Databasebeta

← Group #11794355

Character table — Group #11794355

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222334444666666366666661212121212121212121212124466121212121212121212121212121212121212224466668888121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000000000000000000000000000002i−2i
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000000000000000000000000000000000−2i2i
χ112222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12200-1-1-1-122000000-1-1-1-10000000000
χ122222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2001111-2-200000011110000000000
χ132222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-1-2-21111-2-2-1-1111111112200-1-1-1-1-2-200000011110000000000
χ142222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-1-2-21111-2-2-1-111111111-2-200111122000000-1-1-1-10000000000
χ15222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200000022-1-1-1-10000-1-1-1-1000000
χ16222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-2-2111100001111000000
χ17222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-111-2-2-2-211-1-1111111110022000000-2-2-1-1-1-100001111000000
χ18222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-111-2-2-2-211-1-11111111100-2-20000002211110000-1-1-1-1000000
χ192222-2-2222-22-22222222-2-2-2-22222-2-22-2-2-2-2-2-2222-2-2-22222-2-2-2-2222222-2-2-2-2000000000000000000000000000000
χ202222-2-2222-22-22222222-2-2-2-22222-2-22-2-2-2-2-2-222-22-2-2-2-2-2-2222222-2-2-2-22222000000000000000000000000000000
χ212222-2-222-22-222222222-2-2-2-2222-222-2222222-2-200-2-200000000-2-20000000000000000000000000000000022-2-200
χ222222-2-222-22-222222222-2-2-2-2222-222-2222222-2-200-2-200000000-2-200000000000000000000000000000000-2-22200
χ232222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-2-11111112-12-21122-1-111-2-2-1-1-1-1-1-111110000−i3−i3i3i300000000−i3−i3i3i30000000000
χ242222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-2-11111112-12-21122-1-111-2-2-1-1-1-1-1-111110000i3i3−i3−i300000000i3i3−i3−i30000000000
χ252222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-2-11111112-1-2211-2-211-1-122-1-11111-1-1-1-10000−i3−i3i3i300000000i3i3−i3−i30000000000
χ262222-2-22-12-22-222-1-1-12-1-2-211-1-1-12-2-2-11111112-1-2211-2-211-1-122-1-11111-1-1-1-10000i3i3−i3−i300000000−i3−i3i3i30000000000
χ272222-2-2-122-22-2-1-1222-1-111-2-2-1-1-1-1112-2-21111-122-211-1-122-2-211-1-1-1-1-1-11111000000000000−i3−i3i3i30000−i3−i3i3i3000000
χ282222-2-2-122-22-2-1-1222-1-111-2-2-1-1-1-1112-2-21111-122-211-1-122-2-211-1-1-1-1-1-11111000000000000i3i3−i3−i30000i3i3−i3−i3000000
χ292222-2-2-122-22-2-1-1222-1-111-2-2-1-1-1-1112-2-21111-12-221111-2-222-1-1-1-11111-1-1-1-1000000000000−i3−i3i3i30000i3i3−i3−i3000000
χ302222-2-2-122-22-2-1-1222-1-111-2-2-1-1-1-1112-2-21111-12-221111-2-222-1-1-1-11111-1-1-1-1000000000000i3i3−i3−i30000−i3−i3i3i3000000
χ3122-2-22-22222-2-22-22-2-2-222-22-22-2-222-222-222-2-2-2-2002-2000000002-2000000002-2002-22-20000000000000000000000
χ3222-2-22-22222-2-22-22-2-2-222-22-22-2-222-222-222-2-2-2-2002-2000000002-200000000-2200-22-220000000000000000000000
χ3322-2-22-222-2-2222-22-2-2-222-22-22-2-2-2-22-2-22-2-22222002-200000000-220000000000000000002-2000000002-22-2000000
χ3422-2-22-222-2-2222-22-2-2-222-22-22-2-2-2-22-2-22-2-22222002-200000000-22000000000000000000-2200000000-22-22000000
χ3522-2-22-22-122-2-22-2-111-2-12-2-11-11122-2-1-11-1-111-2100-11003−33−300-1133−3−333−3−32-200-11-11000000003−33−30000000000
χ3622-2-22-22-122-2-22-2-111-2-12-2-11-11122-2-1-11-1-111-2100-11003−33−300-1133−3−333−3−3-22001-11-100000000−33−330000000000
χ3722-2-22-22-122-2-22-2-111-2-12-2-11-11122-2-1-11-1-111-2100-1100−33−3300-11−3−333−3−3332-200-11-1100000000−33−330000000000
χ3822-2-22-22-122-2-22-2-111-2-12-2-11-11122-2-1-11-1-111-2100-1100−33−3300-11−3−333−3−333-22001-11-1000000003−33−30000000000
χ3922-2-22-2-12-2-222-112-2-21-1-112-2-11111-1-2-2211-1-1-1200-113−300003−31-13−33−33−33−300000000002-23−33−30000-11-11000000
χ4022-2-22-2-12-2-222-112-2-21-1-112-2-11111-1-2-2211-1-1-1200-113−300003−31-13−33−33−33−30000000000-22−33−3300001-11-1000000
χ4122-2-22-2-12-2-222-112-2-21-1-112-2-11111-1-2-2211-1-1-1200-11−330000−331-1−33−33−33−3300000000002-2−33−330000-11-11000000
χ4222-2-22-2-12-2-222-112-2-21-1-112-2-11111-1-2-2211-1-1-1200-11−330000−331-1−33−33−33−330000000000-223−33−300001-11-1000000
χ4322-2-2-22222-2-222-22-2-2-22-22-222-2-22-222-22-2-222-2-200-22000000002-200000000000000002i−2i0000002i−2i−2i2i0000000000
χ4422-2-2-22222-2-222-22-2-2-22-22-222-2-22-222-22-2-222-2-200-22000000002-20000000000000000−2i2i000000−2i2i2i−2i0000000000
χ4522-2-2-2222-222-22-22-2-2-22-22-222-2-2-22-2-22-222-2-22200-2200000000-2200000000002i−2i000000002i−2i−2i2i00000000000000
χ4622-2-2-2222-222-22-22-2-2-22-22-222-2-2-22-2-22-222-2-22200-2200000000-220000000000−2i2i00000000−2i2i2i−2i00000000000000
χ4722-2-2-222-12-2-222-2-111-2-1-221-1-1112-22-11-111-1-1-21001-1003−3−3300-1133−3−3−3−3330000−i3i3i3−i32i−2i000000−iii−i0000000000
χ4822-2-2-222-12-2-222-2-111-2-1-221-1-1112-22-11-111-1-1-21001-1003−3−3300-1133−3−3−3−3330000i3−i3−i3i3−2i2i000000i−i−ii0000000000
χ4922-2-2-222-12-2-222-2-111-2-1-221-1-1112-22-11-111-1-1-21001-100−333−300-11−3−33333−3−30000−i3i3i3−i3−2i2i000000i−i−ii0000000000
χ5022-2-2-222-12-2-222-2-111-2-1-221-1-1112-22-11-111-1-1-21001-100−333−300-11−3−33333−3−30000i3−i3−i3i32i−2i000000−iii−i0000000000
χ5122-2-2-22-12-222-2-112-2-21-11-1-22-1111-11-22-2-1-111-12001-13−30000−331-13−33−3−33−33002i−2i00000000−iii−i0000−i3i3i3−i3000000
χ5222-2-2-22-12-222-2-112-2-21-11-1-22-1111-11-22-2-1-111-12001-13−30000−331-13−33−3−33−3300−2i2i00000000i−i−ii0000i3−i3−i3i3000000
χ5322-2-2-22-12-222-2-112-2-21-11-1-22-1111-11-22-2-1-111-12001-1−3300003−31-1−33−333−33−3002i−2i00000000−iii−i0000i3−i3−i3i3000000
χ5422-2-2-22-12-222-2-112-2-21-11-1-22-1111-11-22-2-1-111-12001-1−3300003−31-1−33−333−33−300−2i2i00000000i−i−ii0000−i3i3i3−i3000000
χ554444444-2-4-4-4-444-2-2-24-244-2-2-2-2-2-4-4-42222222-4200-2-2000000002200000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-2444-2-2-2-244-2-2-2222-4-4-422222-400-2-2000000002200000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-24411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-122001100000000-1-13-3-333-3-33000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-122001100000000-1-1-333-3-333-3000000000000000000000000000000
χ614444-4-44-2-44-4444-2-2-24-2-4-422-2-2-2-4442-2-2-2-2-2-2-420022000000002200000000000000000000000000000000000000
χ624444-4-4-24-44-44-2-2444-2-222-4-4-2-2-22-2-2-444-2-2-2-22-40022000000002200000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-222-1-1-1-1-2-24-4-1-1-2-2-2-22222111111-1-1-1-1000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-212222111-222-222-1-1-1-1-2-2-44-1-12222-2-2-2-211-1-1-1-11111000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-211112200-1-100000000-1-13-3-33-333-3000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2122221112-2-22-2-211112200-1-100000000-1-1-333-33-3-33000000000000000000000000000000
χ6744-4-44-44-2-4-4444-4-222-4-24-4-22-222-4-4422-222-2-24-200-22000000002-200000000000000000000000000000000000000
χ6844-4-44-4-2444-4-4-224-4-42-2-224-4-222-2-2244-4-2-2222-400-2200000000-2200000000000000000000000000000000000000
χ6944-4-44-4-2-244-4-4-22-22221-22-221-1-1-2-22-2-2211-1-122001-10023−2323−23001-1−3−333−3−333000000000000000000000000000000
χ7044-4-44-4-2-244-4-4-22-22221-22-221-1-1-2-22-2-2211-1-122001-100−2323−2323001-133−3−333−3−3000000000000000000000000000000
χ7144-4-44-4-2-2-4-444-22-22221-22-221-1-122-222-2-1-111-2-2001-123−23000023−23-11−33−33−33−33000000000000000000000000000000
χ7244-4-44-4-2-2-4-444-22-22221-22-221-1-122-222-2-1-111-2-2001-1−23230000−2323-113−33−33−33−3000000000000000000000000000000
χ7344-4-4-444-2-444-44-4-222-4-2-442-2-222-44-42-22-2-2224-2002-2000000002-200000000000000000000000000000000000000
χ7444-4-4-44-244-4-44-224-4-42-22-2-44-222-22-24-4422-2-22-4002-200000000-2200000000000000000000000000000000000000
χ7544-4-4-44-2-24-4-44-22-222212-22-21-1-1-22-2-22-2-1-1112200-110023−23−2323001-1−3−33333−3−3000000000000000000000000000000
χ7644-4-4-44-2-24-4-44-22-222212-22-21-1-1-22-2-22-2-1-1112200-1100−232323−23001-133−3−3−3−333000000000000000000000000000000
χ7744-4-4-44-2-2-444-4-22-222212-22-21-1-12-222-2211-1-1-2-200-1123−230000−2323-11−33−333−33−3000000000000000000000000000000
χ7844-4-4-44-2-2-444-4-22-222212-22-21-1-12-222-2211-1-1-2-200-11−2323000023−23-113−33−3−33−33000000000000000000000000000000
χ794-44-400440000-44-44-4-440000-44-4000000000000000000000000000000000000000000000000000000000000−2i22i200
χ804-44-400440000-44-44-4-440000-44-40000000000000000000000000000000000000000000000000000000000002i2−2i200
χ814-4-4400440000-4-4-4-44440000-4-44000000000000000000000000000000000000000000000000000000000022−220000
χ824-4-4400440000-4-4-4-44440000-4-440000000000000000000000000000000000000000000000000000000000−22220000
χ838-88-8008-40000-884-44-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4800004-4-88-84-400004-440000000000000000000000000000000000000000000000000000000000000000
χ858-88-800-4-400004-44-44420000-22-20000006i−6i6i−6i000000000000000000000000000000000000000000000000000000
χ868-88-800-4-400004-44-44420000-22-2000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000
χ878-8-88008-40000-8-844-48-4000044-40000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-48000044-8-88-4-4000044-40000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-400004444-4-420000-2-220000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ908-8-8800-4-400004444-4-420000-2-22000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000

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