Finite Group Databasebeta

← Group #11896063

Character table — Group #11896063

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444448888888888888888881212121212121212121212121616161618182424242424242424242424242424242424243636367272
order1222334466666634444666881212121212121212121212121212242424242424242444441212121212121212121212124444448812121212121212122424242448824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-11-111-1-111-1-11111-1-11-11-11-11111-1-1-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-11-11-1-111-1-1111111-1-1-11-11-11-1-1-1-11111-1-111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-111-1-111-1-1-1-1-1-11-1-1-11
χ611111111111111111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-1-111-1-1111-1-1-1-111-1-111-1111-1
χ711111111111111111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-11-1-111-1-1-11111-1-111-1-1-1111-1
χ811111111111111111-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111111-1-1-11
χ9111111111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11-1-11-1
χ10111111111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-11-1-11-11-1-11111-1-1-1-111-111-11
χ11111111111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-111-11-111-1-1-1-11111-1-1-111-11
χ12111111111111111-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-111111-1-11-1
χ13111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1
χ14111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1111111-1-1-1-1-111
χ15111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-11-11-1-111-1-111-1-1-1-1-1-11-11-1-111111-1-1-1-1-1-111-1-1-111
χ16111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1111-1-1
χ17222222-2-22222222000022200-2-2-2-200000000-2-20000000022-2-22222-2-2-2-2000022000000000000000000-20000
χ18222222-2-22222222000022200-2-2-2-200000000-2-2000000002-2-2222-2-2-2-2220000-2-200000000000000000020000
χ19222222-2-22222222000022200-2-2-2-200000000-2-200000000-222-2-2-22222-2-20000-2-200000000000000000020000
χ20222222-2-22222222000022200-2-2-2-200000000-2-200000000-2-222-2-2-2-22222000022000000000000000000-20000
χ2122222-1222-122-1-1-12222-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-1-1-1020200-1-100-1-1-1-1-1-1000202020000-1-1-1-100-1-100000
χ2222222-1222-122-1-1-12222-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-1-1-10-20-200110011-1-1-1-1000-20-20-200001111001100000
χ2322222-1222-122-1-1-122-2-2-1-1-1-2-22-12-1-2-21122-1-1-1-1-2-2111111020200-1-100-1-111-1-1000-2020-20000-1-111001100000
χ2422222-1222-122-1-1-122-2-2-1-1-1-2-22-12-1-2-21122-1-1-1-1-2-21111110-20-20011001111-1-100020-202000011-1-100-1-100000
χ2522222-1222-122-1-1-1-2-222-1-1-1-2-22-12-122-1-1-2-211-1-1-2-2111111020200-1-100-1-1-1-11100020-20-2000011-1-1001100000
χ2622222-1222-122-1-1-1-2-222-1-1-1-2-22-12-122-1-1-2-211-1-1-2-21111110-20-200110011-1-111000-202020000-1-11100-1-100000
χ2722222-1222-122-1-1-1-2-2-2-2-1-1-1222-12-1-2-211-2-211-1-122-1-1-1-1-1-1020200-1-100-1-11111000-20-2020000111100-1-100000
χ2822222-1222-122-1-1-1-2-2-2-2-1-1-1222-12-1-2-211-2-211-1-122-1-1-1-1-1-10-20-20011001111110002020-20000-1-1-1-1001100000
χ292222-1222-12-1-122-12222-1-1-122-12-12-1-122-1-122-1-1-1-122-1-1-1-12020-1-100-1-100-1-1-1-100202020-1-1-1-10000-1-10000000
χ302222-1222-12-1-122-12222-1-1-122-12-12-1-122-1-122-1-1-1-122-1-1-1-1-20-2011001100-1-1-1-100-20-20-2011110000110000000
χ312222-1222-12-1-122-122-2-2-1-1-1-2-2-12-1211-2-2-1-122-1-111-2-211112020-1-100-1-10011-1-100-2020-20-1-1110000110000000
χ322222-1222-12-1-122-122-2-2-1-1-1-2-2-12-1211-2-2-1-122-1-111-2-21111-20-201100110011-1-10020-202011-1-10000-1-10000000
χ332222-1222-12-1-122-1-2-222-1-1-1-2-2-12-12-1-12211-2-2-1-111-2-211112020-1-100-1-100-1-1110020-20-2011-1-10000110000000
χ342222-1222-12-1-122-1-2-222-1-1-1-2-2-12-12-1-12211-2-2-1-111-2-21111-20-2011001100-1-11100-202020-1-1110000-1-10000000
χ352222-1222-12-1-122-1-2-2-2-2-1-1-122-12-1211-2-211-2-2-1-1-1-122-1-1-1-12020-1-100-1-100111100-20-202011110000-1-10000000
χ362222-1222-12-1-122-1-2-2-2-2-1-1-122-12-1211-2-211-2-2-1-1-1-122-1-1-1-1-20-20110011001111002020-20-1-1-1-10000110000000
χ3722-2-222-22-2-22-22-222-22i−2i-2-222i−2i-2-2222i−2i2i−2i2-22-22-22i−2i2i−2i2i2i−2i−2i0000000000002i−2i2-20000000000000000000000000
χ3822-2-222-22-2-22-22-222-2−2i2i-2-22−2i2i-2-222−2i2i−2i2i2-22-22-2−2i2i−2i2i−2i−2i2i2i000000000000−2i2i2-20000000000000000000000000
χ3922-2-222-22-2-22-22-22-222i−2i-2-22−2i2i-2-2222i−2i2i−2i-22-222-2−2i2i−2i2i−2i−2i2i2i0000000000002i−2i-220000000000000000000000000
χ4022-2-222-22-2-22-22-22-22−2i2i-2-222i−2i-2-222−2i2i−2i2i-22-222-22i−2i2i−2i2i2i−2i−2i000000000000−2i2i-220000000000000000000000000
χ4122-2-22-1-22-212-2-11-12-22i−2i11-12i−2i-212-12i−2i−ii2-2-11-112i−2i−ii−i−iii0000003−3003−3−ii-110000000000003−3−i3i300−i3i300000
χ4222-2-22-1-22-212-2-11-12-22i−2i11-12i−2i-212-12i−2i−ii2-2-11-112i−2i−ii−i−iii000000−3300−33−ii-11000000000000−33i3−i300i3−i300000
χ4322-2-22-1-22-212-2-11-12-2−2i2i11-1−2i2i-212-1−2i2ii−i2-2-11-11−2i2ii−iii−i−i0000003−3003−3i−i-110000000000003−3i3−i300i3−i300000
χ4422-2-22-1-22-212-2-11-12-2−2i2i11-1−2i2i-212-1−2i2ii−i2-2-11-11−2i2ii−iii−i−i000000−3300−33i−i-11000000000000−33−i3i300−i3i300000
χ4522-2-22-1-22-212-2-11-1-222i−2i11-1−2i2i-212-12i−2i−ii-221-1-11−2i2ii−iii−i−i0000003−3003−3−ii1-1000000000000−33−i3i300i3−i300000
χ4622-2-22-1-22-212-2-11-1-222i−2i11-1−2i2i-212-12i−2i−ii-221-1-11−2i2ii−iii−i−i000000−3300−33−ii1-10000000000003−3i3−i300−i3i300000
χ4722-2-22-1-22-212-2-11-1-22−2i2i11-12i−2i-212-1−2i2ii−i-221-1-112i−2i−ii−i−iii0000003−3003−3i−i1-1000000000000−33i3−i300−i3i300000
χ4822-2-22-1-22-212-2-11-1-22−2i2i11-12i−2i-212-1−2i2ii−i-221-1-112i−2i−ii−i−iii000000−3300−33i−i1-10000000000003−3−i3i300i3−i300000
χ4922-2-2-12-221-2-112-2-12-22i−2i11-12i−2i1-2-12−ii2i−2i-112-2-11−ii2i−2i−i−iii00003−3003−300−ii-11000000003−3−i3i30000−i3i30000000
χ5022-2-2-12-221-2-112-2-12-22i−2i11-12i−2i1-2-12−ii2i−2i-112-2-11−ii2i−2i−i−iii0000−3300−3300−ii-1100000000−33i3−i30000i3−i30000000
χ5122-2-2-12-221-2-112-2-12-2−2i2i11-1−2i2i1-2-12i−i−2i2i-112-2-11i−i−2i2iii−i−i00003−3003−300i−i-11000000003−3i3−i30000i3−i30000000
χ5222-2-2-12-221-2-112-2-12-2−2i2i11-1−2i2i1-2-12i−i−2i2i-112-2-11i−i−2i2iii−i−i0000−3300−3300i−i-1100000000−33−i3i30000−i3i30000000
χ5322-2-2-12-221-2-112-2-1-222i−2i11-1−2i2i1-2-12−ii2i−2i1-1-22-11i−i−2i2iii−i−i00003−3003−300−ii1-100000000−33−i3i30000i3−i30000000
χ5422-2-2-12-221-2-112-2-1-222i−2i11-1−2i2i1-2-12−ii2i−2i1-1-22-11i−i−2i2iii−i−i0000−3300−3300−ii1-1000000003−3i3−i30000−i3i30000000
χ5522-2-2-12-221-2-112-2-1-22−2i2i11-12i−2i1-2-12i−i−2i2i1-1-22-11−ii2i−2i−i−iii00003−3003−300i−i1-100000000−33i3−i30000−i3i30000000
χ5622-2-2-12-221-2-112-2-1-22−2i2i11-12i−2i1-2-12i−i−2i2i1-1-22-11−ii2i−2i−i−iii0000−3300−3300i−i1-1000000003−3−i3i30000i3−i30000000
χ5744444-2-4-44-244-2-2-20000-2-2-200-42-42000000002200000000040-400-2-2002200000000000000000000000000000
χ5844444-2-4-44-244-2-2-20000-2-2-200-42-420000000022000000000-404002200-2-200000000000000000000000000000
χ594444-24-4-4-24-2-244-20000-2-2-2002-42-400000000220000000040-40-2-200220000000000000000000000000000000
χ604444-24-4-4-24-2-244-20000-2-2-2002-42-4000000002200000000-40402200-2-20000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-21444411144-2-2-2-2-2-2-2-2-2-2-2-211-2-2-2-2111100000000000011110000000000000000000000000
χ624444-2-244-2-2-2-2-2-2144-4-4111-4-4-2-2-2-22222-2-2-2-2112222-1-1-1-1000000000000-1-1110000000000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-444111-4-4-2-2-2-2-2-2-2-22222112222-1-1-1-100000000000011-1-10000000000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4-4-411144-2-2-2-22222222211-2-2-2-21111000000000000-1-1-1-10000000000000000000000000
χ6544-4-4444-4-4-44-44-440000-4-440044-4-400000000-440000000000000000000000000000000000000000000000000
χ6644-4-44-24-4-424-4-22-2000022-2004-2-42000000002-20000000000000023−2300−232300000000000000000000000000000
χ6744-4-44-24-4-424-4-22-2000022-2004-2-42000000002-200000000000000−23230023−2300000000000000000000000000000
χ6844-4-4-244-42-4-224-4-2000022-200-242-4000000002-200000000000023−2300−23230000000000000000000000000000000
χ6944-4-4-244-42-4-224-4-2000022-200-242-4000000002-2000000000000−23230023−230000000000000000000000000000000
χ7044-4-4-2-2-4422-22-2214-44i−4i-1-114i−4i22-2-2−2i2i−2i2i-22-221-1−2i2i−2i2iii−i−i000000000000i−i1-10000000000000000000000000
χ7144-4-4-2-2-4422-22-2214-4−4i4i-1-11−4i4i22-2-22i−2i2i−2i-22-221-12i−2i2i−2i−i−iii000000000000−ii1-10000000000000000000000000
χ7244-4-4-2-2-4422-22-221-444i−4i-1-11−4i4i22-2-2−2i2i−2i2i2-22-21-12i−2i2i−2i−i−iii000000000000i−i-110000000000000000000000000
χ7344-4-4-2-2-4422-22-221-44−4i4i-1-114i−4i22-2-22i−2i2i−2i2-22-21-1−2i2i−2i2iii−i−i000000000000−ii-110000000000000000000000000
χ744-44-4440044-4-4-4-440000-44-400000000000000000000000000000000000000004-400000000000000000000000
χ754-44-4440044-4-4-4-440000-44-40000000000000000000000000000000000000000-4400000000000000000000000
χ764-4-444400-4-4-44-44400004-4-40000000000000000000000000000000000000000000000000000000000000−2i22i200
χ774-4-444400-4-4-44-44400004-4-400000000000000000000000000000000000000000000000000000000000002i2−2i200
χ788888-4-4-8-8-4-4-4-4-4-42000022200444400000000-2-20000000000000000000000000000000000000000000000000
χ7988-8-8-4-48-844-44-4420000-2-2200-4-44400000000-220000000000000000000000000000000000000000000000000
χ808-88-88-4008-4-8-844-400004-4400000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-4844-8-8-400004-4400000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-4-4444420000-22-200000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ838-88-8-4-400-4-4444420000-22-2000000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ848-8-888-400-84-884-4-40000-44400000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-84-4-88-40000-44400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-4200002-2-20000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4200002-2-200000000000000000000−323232−3200000000000000000000000000000000000000000

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