Finite Group Databasebeta

← Group #11872733

Character table — Group #11872733

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666223666121212124444466668121212122424242424242424444444881212121212126612121224668121212121224242424222488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-1111111-111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1-1-11-1-1-111-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1111-1-1-1-11111111-11-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-11-1111-1-111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111111-1-1-1-1-111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-111-1-1-1-111-1-11111-1-111-1-1
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-11111111-1-1-11-1-1-1-1-1-1-1-111-1-111
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-11111-1-111-1-1-1-111
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-11111-1-1
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1111111-1-111-1-1-11
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1-11111-1-111-1-111-1-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-111111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1111111-1-1-1-111-1-1-1-1-11-111-1111-1-1-1-11111-1-1-1-1-11
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000200-20022-2-222000000000000-200000000-220000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000-20020022-2-2-2-20000000000002000000002-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000200-200-2-22222000000000000-2000000002-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000-200200-2-222-2-2000000000000200000000-220000
χ2122222-1222-1-12-1222-1-1-1-12-1-122222222-1-12-1-1-1-1-1-122-1-1-1-100022000-1-1-1-100-1-12-1-120-1-12-1-1000-1-10000000000
χ2222222-1222-1-12-1222-1-1-1-12-1-122222-222-1-1-211-1-111-2-2111100022000-1-1-1-100-1-1-211-2011-2-1-1000110000000000
χ2322222-1222-1-12-1222-1-1-1-12-1-12-2-2-2-2222-1-12-1-1-1-1-1-122-1-1-1-1000-2-2000111100-1-12-1-1-2011-211000110000000000
χ2422222-1222-1-12-1222-1-1-1-12-1-12-2-2-2-2-222-1-1-211-1-111-2-21111000-2-2000111100-1-1-21120-1-1211000-1-10000000000
χ2522222-1222-1-12-12-2-2-1-1-1-12-1-1222222-2-211-2-1-1-1-111-2-21111000-2-2000-1-1-1-100112-1-120-1-1-211000110000000000
χ2622222-1222-1-12-12-2-2-1-1-1-12-1-122222-2-2-211211-1-1-1-122-1-1-1-1000-2-2000-1-1-1-10011-211-2011211000-1-10000000000
χ2722222-1222-1-12-12-2-2-1-1-1-12-1-12-2-2-2-22-2-211-2-1-1-1-111-2-2111100022000111100112-1-1-20112-1-1000-1-10000000000
χ2822222-1222-1-12-12-2-2-1-1-1-12-1-12-2-2-2-2-2-2-211211-1-1-1-122-1-1-1-10002200011110011-21120-1-1-2-1-1000110000000000
χ292222-1222-122-12-122-1-1-1-1-122-100002-1-122222-1-122-1-1-1-1-1-1222002220000-1-1-1-1-1-1-10200000-1-1-100-1-1000000-10
χ302222-1222-122-12-122-1-1-1-1-122-100002-1-122222-1-122-1-1-1-1-1-1-2-2-200-2-2-2000011-1-1-1-1-10-200000111001100000010
χ312222-1222-122-12-122-1-1-1-1-122-10000-2-1-122-2-2-2-1-1-2-2111111222002-2-20000-1-1-1-11110-200000-1-1-1001100000010
χ322222-1222-122-12-122-1-1-1-1-122-10000-2-1-122-2-2-2-1-1-2-2111111-2-2-200-222000011-1-1111020000011100-1-1000000-10
χ332222-1222-122-12-1-2-2-1-1-1-1-122-10000211-2-2-222-1-1-2-211111122-200-22200001111-1-1-10-2000001-1-100-1-100000010
χ342222-1222-122-12-1-2-2-1-1-1-1-122-10000211-2-2-222-1-1-2-2111111-2-22002-2-20000-1-111-1-1-10200000-1110011000000-10
χ352222-1222-122-12-1-2-2-1-1-1-1-122-10000-211-2-22-2-2-1-122-1-1-1-1-1-122-200-2-2-20000111111102000001-1-10011000000-10
χ362222-1222-122-12-1-2-2-1-1-1-1-122-10000-211-2-22-2-2-1-122-1-1-1-1-1-1-2-22002220000-1-1111110-200000-11100-1-100000010
χ3722-2-2222-222-2-2-2-2002-22-2-22-222i−2i2i−2i00000000-22000000002i−2i0000002i−2i2i−2i0000000000000002i−2i00002-2000000
χ3822-2-2222-222-2-2-2-2002-22-2-22-222i−2i2i−2i00000000-2200000000−2i2i0000002i−2i2i−2i000000000000000−2i2i0000-22000000
χ3922-2-2222-222-2-2-2-2002-22-2-22-22−2i2i−2i2i00000000-22000000002i−2i000000−2i2i−2i2i0000000000000002i−2i0000-22000000
χ4022-2-2222-222-2-2-2-2002-22-2-22-22−2i2i−2i2i00000000-2200000000−2i2i000000−2i2i−2i2i000000000000000−2i2i00002-2000000
χ4122-2-222-2222-2-2-2-22-22-22-22-22-22i−2i−2i2i02-22-20002-2000000000002i−2i0002i−2i−2i2i002-2000000002i−2i000000000000000
χ4222-2-222-2222-2-2-2-22-22-22-22-22-2−2i2i2i−2i02-22-20002-200000000000−2i2i000−2i2i2i−2i002-200000000−2i2i000000000000000
χ4322-2-222-2222-2-2-2-2-222-22-22-22-22i−2i−2i2i0-22-220002-200000000000−2i2i0002i−2i−2i2i00-2200000000−2i2i000000000000000
χ4422-2-222-2222-2-2-2-2-222-22-22-22-2−2i2i2i−2i0-22-220002-2000000000002i−2i000−2i2i2i−2i00-22000000002i−2i000000000000000
χ4522-2-22-1-222-11-21-22-2-11-1121-1-22i−2i−2i2i02-2-1103−3-113−30033−3−30002i−2i000−iii−i00-1103−300−i3i30−ii000−i3i30000000000
χ4622-2-22-1-222-11-21-22-2-11-1121-1-22i−2i−2i2i02-2-110−33-11−3300−3−3330002i−2i000−iii−i00-110−3300i3−i30−ii000i3−i30000000000
χ4722-2-22-1-222-11-21-22-2-11-1121-1-2−2i2i2i−2i02-2-1103−3-113−30033−3−3000−2i2i000i−i−ii00-1103−300i3−i30i−i000i3−i30000000000
χ4822-2-22-1-222-11-21-22-2-11-1121-1-2−2i2i2i−2i02-2-110−33-11−3300−3−333000−2i2i000i−i−ii00-110−3300−i3i30i−i000−i3i30000000000
χ4922-2-22-1-222-11-21-2-22-11-1121-1-22i−2i−2i2i0-221-103−3-11−3300−3−333000−2i2i000−iii−i001-103−300−i3i30i−i000i3−i30000000000
χ5022-2-22-1-222-11-21-2-22-11-1121-1-22i−2i−2i2i0-221-10−33-113−30033−3−3000−2i2i000−iii−i001-10−3300i3−i30i−i000−i3i30000000000
χ5122-2-22-1-222-11-21-2-22-11-1121-1-2−2i2i2i−2i0-221-103−3-11−3300−3−3330002i−2i000i−i−ii001-103−300i3−i30−ii000−i3i30000000000
χ5222-2-22-1-222-11-21-2-22-11-1121-1-2−2i2i2i−2i0-221-10−33-113−30033−3−30002i−2i000i−i−ii001-10−3300−i3i30−ii000i3−i30000000000
χ5344444-2-4-44-2-24-2400-2-2-2-2-422-444-4-400000000220000000000000000-2-22200000000000000000000000000000
χ5444444-2-4-44-2-24-2400-2-2-2-2-422-4-4-4440000000022000000000000000022-2-200000000000000000000000000000
χ554444-24-4-4-244-24-200-2-2-2-22-4-42000000000000220000000000400-4000000-2-2000000000000200000000000000
χ564444-24-4-4-244-24-200-2-2-2-22-4-42000000000000220000000000-400400000022000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-24-2-211-2-2-2-211110000000000000011-2110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-422112222-1-1-1-100000000000000112-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4-2-2112222-1-1-1-100000000000000-1-1-2110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222242211-2-2-2-2111100000000000000-1-12-1-10000000000000000000000
χ6144-4-44-24-44-22-42-400-22-22-4-2244i−4i4i−4i000000002-20000000000000000−2i2i−2i2i00000000000000000000000000000
χ6244-4-44-24-44-22-42-400-22-22-4-224−4i4i−4i4i000000002-200000000000000002i−2i2i−2i00000000000000000000000000000
χ6344-4-4-244-4-24-42-4200-22-2224-4-20000000000002-2000000004i−4i0000000000000000000000000−2i2i000000000000
χ6444-4-4-244-4-24-42-4200-22-2224-4-20000000000002-200000000−4i4i00000000000000000000000002i−2i000000000000
χ6544-4-4-24-44-24-42-424-4-22-22-2-44200000-224-4000-220000000000000000000000-220000000000000000000000000
χ6644-4-4-24-44-24-42-42-44-22-22-2-442000002-2-44000-2200000000000000000000002-20000000000000000000000000
χ6744-4-4-2-2-44-2-222224-41-11-1-22-2200000-22-22023−231-123−2300−3−333000000000000001-10−330000000000000000000000
χ6844-4-4-2-2-44-2-222224-41-11-1-22-2200000-22-220−23231-1−23230033−3−3000000000000001-103−30000000000000000000000
χ6944-4-4-2-2-44-2-22222-441-11-1-22-22000002-22-2023−231-1−23230033−3−300000000000000-110−330000000000000000000000
χ7044-4-4-2-2-44-2-22222-441-11-1-22-22000002-22-20−23231-123−2300−3−33300000000000000-1103−30000000000000000000000
χ714-44-44400-4-44-4-44004-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-44400-4-44-4-44004-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-444400-4-4-444-40044-4-40000000000000000000000000000000022−220000000000000000000000022−2200000000
χ744-4-444400-4-4-444-40044-4-400000000000000000000000000000000−222200000000000000000000000−222200000000
χ754-4-44-24002-4-4-24200-2-222000000000000000000006−66−66−600000022−22000023−2300000000000000000−2200000000
χ764-4-44-24002-4-4-24200-2-222000000000000000000006−66−66−6000000−22220000−2323000000000000000002−200000000
χ774-4-44-24002-4-4-24200-2-22200000000000000000000−66−66−6600000022−220000−232300000000000000000−2200000000
χ784-4-44-24002-4-4-24200-2-22200000000000000000000−66−66−66000000−2222000023−23000000000000000002−200000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-8-4-44444002-22-24-44-4000000000000-220000000000000000000000000000000000000000000000000
χ818-88-88-400-84-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-48004-884-8-400-444-40000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-40044-444-4002-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ848-88-8-4-40044-444-4002-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000
χ858-8-888-400-8448-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400444-4-440022-2-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ878-8-88-4-400444-4-440022-2-200000000000000000000−26266−66−600000000000000000000000000000000000000000

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