Finite Group Databasebeta

← Group #11895760

Character table — Group #11895760

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444448888888888888888881212121212121212121212121616161618182424242424242424242424242424242424243636367272
order122233446666662234466688121212126666121212121212242424242424242444441212121212121212661212442244666688121212122424242448824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-11-111-1-111-1-11111-1-11-11-111-1-11-111-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-11-11-1-111-1-1111111-1-1-11-11-1-111-11-1-111-1-111-1-1-1-1-1
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
χ511111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-11
χ611111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-1-111-1-1-111-1111-1-1-1-111-1111-1
χ711111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-11-1-1111-1-11-1-1-11111-1-1-1111-1
χ811111111111111111-1-1111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111111-1-1-11
χ911111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1
χ1011111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-11-1-1111-1-1-11-1-111-1-111-111-11
χ1111111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-111-1-1-1111-111-1-111-1-1-111-11
χ1211111111111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111111-1-11-1
χ1311111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1
χ1411111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-111111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-1-1-11111-1-1-1-1-111
χ1511111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-11-11-1-111-1-111-1-1-1-1-1-11-11-111-1-1-1111-1-1-1-111-1-1-111
χ1611111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111-1-1
χ17222222-2-22222220020022200-2-2-2-200000000-2-20000000022-2-2-2-2-2-22222000022000000000000000000-20000
χ18222222-2-22222220020022200-2-2-2-200000000-2-2000000002-2-22-2-22222-2-20000-2-200000000000000000020000
χ19222222-2-22222220020022200-2-2-2-200000000-2-200000000-222-222-2-2-2-2220000-2-200000000000000000020000
χ20222222-2-22222220020022200-2-2-2-200000000-2-200000000-2-2222222-2-2-2-2000022000000000000000000-20000
χ2122222-1222-12-12-122-122-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-1-1-1020200-1-100-1-1-1-1-1-100020200-1-10200-1-100-1-100000
χ2222222-1222-12-12-122-122-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-1-1-10-20-200110011-1-1-1-1000-20-200110-20011001100000
χ2322222-1222-12-12-122-1-2-2-1-1-1-2-22-12-122-1-1-2-211-1-1-2-2111111020200-1-100-1-1-1-111000-20200110-200-1-1001100000
χ2422222-1222-12-12-122-1-2-2-1-1-1-2-22-12-122-1-1-2-211-1-1-2-21111110-20-200110011-1-11100020-200-1-102001100-1-100000
χ2522222-1222-12-12-1-2-2-122-1-1-1-2-22-12-1-2-21122-1-1-1-1-2-2111111020200-1-100-1-111-1-100020-200-1-10-20011001100000
χ2622222-1222-12-12-1-2-2-122-1-1-1-2-22-12-1-2-21122-1-1-1-1-2-21111110-20-20011001111-1-1000-20200110200-1-100-1-100000
χ2722222-1222-12-12-1-2-2-1-2-2-1-1-1222-12-1-2-211-2-211-1-122-1-1-1-1-1-1020200-1-100-1-11111000-20-2001102001100-1-100000
χ2822222-1222-12-12-1-2-2-1-2-2-1-1-1222-12-1-2-211-2-211-1-122-1-1-1-1-1-10-20-200110011111100020200-1-10-200-1-1001100000
χ292222-1222-12-12-1222-122-1-1-122-12-12-1-122-1-122-1-1-1-122-1-1-1-12020-1-100-1-100-1-1-1-1002020-1-10020-1-100-1-10000000
χ302222-1222-12-12-1222-122-1-1-122-12-12-1-122-1-122-1-1-1-122-1-1-1-1-20-2011001100-1-1-1-100-20-201100-201100110000000
χ312222-1222-12-12-1222-1-2-2-1-1-1-2-2-12-12-1-12211-2-2-1-111-2-211112020-1-100-1-100-1-11100-20201100-20-1-100110000000
χ322222-1222-12-12-1222-1-2-2-1-1-1-2-2-12-12-1-12211-2-2-1-111-2-21111-20-2011001100-1-1110020-20-1-100201100-1-10000000
χ332222-1222-12-12-12-2-2-122-1-1-1-2-2-12-1211-2-2-1-122-1-111-2-211112020-1-100-1-10011-1-10020-20-1-100-201100110000000
χ342222-1222-12-12-12-2-2-122-1-1-1-2-2-12-1211-2-2-1-122-1-111-2-21111-20-201100110011-1-100-2020110020-1-100-1-10000000
χ352222-1222-12-12-12-2-2-1-2-2-1-1-122-12-1211-2-211-2-2-1-1-1-122-1-1-1-12020-1-100-1-100111100-20-201100201100-1-10000000
χ362222-1222-12-12-12-2-2-1-2-2-1-1-122-12-1211-2-211-2-2-1-1-1-122-1-1-1-1-20-20110011001111002020-1-100-20-1-100110000000
χ3722-2-222-2222-2-2-2-22-222i−2i-22-22i−2i-2-2222-22-22i−2i2i−2i2-22i−2i2i−2i2i2i−2i−2i0000000000002-22i−2i0000000000000000000000000
χ3822-2-222-2222-2-2-2-22-22−2i2i-22-2−2i2i-2-2222-22-2−2i2i−2i2i2-2−2i2i−2i2i−2i−2i2i2i0000000000002-2−2i2i0000000000000000000000000
χ3922-2-222-2222-2-2-2-2-2222i−2i-22-2−2i2i-2-222-22-222i−2i2i−2i2-2−2i2i−2i2i−2i−2i2i2i000000000000-222i−2i0000000000000000000000000
χ4022-2-222-2222-2-2-2-2-222−2i2i-22-22i−2i-2-222-22-22−2i2i−2i2i2-22i−2i2i−2i2i2i−2i−2i000000000000-22−2i2i0000000000000000000000000
χ4122-2-22-1-222-1-21-212-2-12i−2i1-112i−2i-212-12-2-112i−2i−ii-112i−2i−ii−i−iii0000003−3003−3-11−ii00000000−i3i300003−300−i3i300000
χ4222-2-22-1-222-1-21-212-2-12i−2i1-112i−2i-212-12-2-112i−2i−ii-112i−2i−ii−i−iii000000−3300−33-11−ii00000000i3−i30000−3300i3−i300000
χ4322-2-22-1-222-1-21-212-2-1−2i2i1-11−2i2i-212-12-2-11−2i2ii−i-11−2i2ii−iii−i−i0000003−3003−3-11i−i00000000i3−i300003−300i3−i300000
χ4422-2-22-1-222-1-21-212-2-1−2i2i1-11−2i2i-212-12-2-11−2i2ii−i-11−2i2ii−iii−i−i000000−3300−33-11i−i00000000−i3i30000−3300−i3i300000
χ4522-2-22-1-222-1-21-21-22-12i−2i1-11−2i2i-212-1-221-12i−2i−ii-11−2i2ii−iii−i−i0000003−3003−31-1−ii00000000−i3i30000−3300i3−i300000
χ4622-2-22-1-222-1-21-21-22-12i−2i1-11−2i2i-212-1-221-12i−2i−ii-11−2i2ii−iii−i−i000000−3300−331-1−ii00000000i3−i300003−300−i3i300000
χ4722-2-22-1-222-1-21-21-22-1−2i2i1-112i−2i-212-1-221-1−2i2ii−i-112i−2i−ii−i−iii0000003−3003−31-1i−i00000000i3−i30000−3300−i3i300000
χ4822-2-22-1-222-1-21-21-22-1−2i2i1-112i−2i-212-1-221-1−2i2ii−i-112i−2i−ii−i−iii000000−3300−331-1i−i00000000−i3i300003−300i3−i300000
χ4922-2-2-12-22-121-21-22-2-12i−2i1-112i−2i1-2-12-112-2−ii2i−2i-11−ii2i−2i−i−iii00003−3003−300-11−ii000000−i3i300003−300−i3i30000000
χ5022-2-2-12-22-121-21-22-2-12i−2i1-112i−2i1-2-12-112-2−ii2i−2i-11−ii2i−2i−i−iii0000−3300−3300-11−ii000000i3−i30000−3300i3−i30000000
χ5122-2-2-12-22-121-21-22-2-1−2i2i1-11−2i2i1-2-12-112-2i−i−2i2i-11i−i−2i2iii−i−i00003−3003−300-11i−i000000i3−i300003−300i3−i30000000
χ5222-2-2-12-22-121-21-22-2-1−2i2i1-11−2i2i1-2-12-112-2i−i−2i2i-11i−i−2i2iii−i−i0000−3300−3300-11i−i000000−i3i30000−3300−i3i30000000
χ5322-2-2-12-22-121-21-2-22-12i−2i1-11−2i2i1-2-121-1-22−ii2i−2i-11i−i−2i2iii−i−i00003−3003−3001-1−ii000000−i3i30000−3300i3−i30000000
χ5422-2-2-12-22-121-21-2-22-12i−2i1-11−2i2i1-2-121-1-22−ii2i−2i-11i−i−2i2iii−i−i0000−3300−33001-1−ii000000i3−i300003−300−i3i30000000
χ5522-2-2-12-22-121-21-2-22-1−2i2i1-112i−2i1-2-121-1-22i−i−2i2i-11−ii2i−2i−i−iii00003−3003−3001-1i−i000000i3−i30000−3300−i3i30000000
χ5622-2-2-12-22-121-21-2-22-1−2i2i1-112i−2i1-2-121-1-22i−i−2i2i-11−ii2i−2i−i−iii0000−3300−33001-1i−i000000−i3i300003−300i3−i30000000
χ5744444-2-4-44-24-24-200-200-2-2-200-42-42000000002200000000040-4002200-2-200000000000000000000000000000
χ5844444-2-4-44-24-24-200-200-2-2-200-42-420000000022000000000-40400-2-2002200000000000000000000000000000
χ594444-24-4-4-24-24-2400-200-2-2-2002-42-400000000220000000040-402200-2-20000000000000000000000000000000
χ604444-24-4-4-24-24-2400-200-2-2-2002-42-4000000002200000000-4040-2-200220000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-24414411144-2-2-2-2-2-2-2-2-2-2-2-211-2-2-2-2111100000000000011110000000000000000000000000
χ624444-2-244-2-2-2-2-2-2441-4-4111-4-4-2-2-2-2-2-2-2-22222112222-1-1-1-100000000000011-1-10000000000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4144111-4-4-2-2-2-22222-2-2-2-2112222-1-1-1-1000000000000-1-1110000000000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41-4-411144-2-2-2-22222222211-2-2-2-21111000000000000-1-1-1-10000000000000000000000000
χ6544-4-4444-444-4-4-4-400400-44-40044-4-400000000-440000000000000000000000000000000000000000000000000
χ6644-4-44-24-44-2-42-4200-2002-22004-2-42000000002-20000000000000023−2300−232300000000000000000000000000000
χ6744-4-44-24-44-2-42-4200-2002-22004-2-42000000002-200000000000000−23230023−2300000000000000000000000000000
χ6844-4-4-244-4-242-42-400-2002-2200-242-4000000002-200000000000023−2300−23230000000000000000000000000000000
χ6944-4-4-244-4-242-42-400-2002-2200-242-4000000002-2000000000000−23230023−230000000000000000000000000000000
χ7044-4-4-2-2-44-2-222224-414i−4i-11-14i−4i22-2-2-22-22−2i2i−2i2i1-1−2i2i−2i2iii−i−i0000000000001-1i−i0000000000000000000000000
χ7144-4-4-2-2-44-2-222224-41−4i4i-11-1−4i4i22-2-2-22-222i−2i2i−2i1-12i−2i2i−2i−i−iii0000000000001-1−ii0000000000000000000000000
χ7244-4-4-2-2-44-2-22222-4414i−4i-11-1−4i4i22-2-22-22-2−2i2i−2i2i1-12i−2i2i−2i−i−iii000000000000-11i−i0000000000000000000000000
χ7344-4-4-2-2-44-2-22222-441−4i4i-11-14i−4i22-2-22-22-22i−2i2i−2i1-1−2i2i−2i2iii−i−i000000000000-11−ii0000000000000000000000000
χ744-44-44400-4-4-4-444004004-4-4000000000000000000000000000000000000000000000000000000000000022−2200
χ754-44-44400-4-4-4-444004004-4-40000000000000000000000000000000000000000000000000000000000000−222200
χ764-4-444400-4-444-4-400400-4-4400000000000000000000000000000000000000004-400000000000000000000000
χ774-4-444400-4-444-4-400400-4-440000000000000000000000000000000000000000-4400000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-40020022200444400000000-2-20000000000000000000000000000000000000000000000000
χ7988-8-8-4-48-8-4-4444400200-22-200-4-44400000000-220000000000000000000000000000000000000000000000000
χ808-88-88-400-84-848-400-400-44400000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48004-84-8-4800-400-44400000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004444-4-4002002-2-200000000000000000000−3i23i2−3i23i200000000000000000000000000000000000000000
χ838-88-8-4-4004444-4-4002002-2-2000000000000000000003i2−3i23i2−3i200000000000000000000000000000000000000000
χ848-8-888-400-848-4-8400-40044-400000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-484-800-40044-400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-4-44400200-2-220000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-40044-4-44400200-2-2200000000000000000000−323232−3200000000000000000000000000000000000000000

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