Finite Group Databasebeta

← Group #11887648

Character table — Group #11887648

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444666688888888812121212121212121212121212121212161616161616161618181818242424242424242424242436363636484872
order1222223344666666346666666121212121212888844661212121212448888882424242424242424121212121212121222444441212121224242424444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-11111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111-1-1111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-11
χ411111111111111111111111111111111111-1-11111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-11-1-1-1
χ51111111111111111111111111111111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1111-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1111
χ91111-1-111111111111-1-1-1-1-11111-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-1111-1-111-1-1111-1-11-1
χ101111-1-111111111111-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1111-1-111-1-1-111-1-111-1-111-1-1-11-111
χ111111-1-111111111111-1-1-1-1-11111-1-11111111-11-1-1-111-1-111-1-1-1-1111111-1-1-1-11-11-1-1-11111-1-11-1-111-1-1-1-111-11111-1-1
χ121111-1-111111111111-1-1-1-1-11111-1-11111111-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-111-1-11111-1-1-11111-1-11-1-1-11-11
χ131111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-11-1-1-1-111-1-1111111-1-1-1-1-1-11111-11-1111-1-111-1-11-1-111-1-111-1-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1-11111-1-1-111-1-111111-11-1-1
χ151111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1111-1-1-1-1111-1-1-1-111
χ161111-1-111111111111-1-1-1-1-11111-1-1111-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-111111-11-1-1-11111-1-1-111-1-11111-1-1-1111-11-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-200000022-2-2-2-2-2000000000000000000000000222200000000000-200-2000
χ1822222222-2-22222222-22222222-2-2-2-2-2-200000022-2-2-2-2-2000000000000000000000000-2-2-2-2000000000002002000
χ192222222-1222-12-1-12-1222-1-1-1-1-1-1-1-122-1222222-1-12-1-1-1-100002200-1-1-1-1-1-1-1-12-1-12-1-1-1-10000202000000000000-1-10
χ202222222-1222-12-1-12-1222-1-1-1-1-1-1-1-122-12222-2-2-1-12-1-1-1-100002200-1-1-1-1-1-1-1-1-211-211110000-20-2000000000000110
χ212222222-1222-12-1-12-1222-1-1-1-1-1-1-1-122-1-2-2-2-222-1-12-1-1-1-10000-2-200111111112-1-12-1-1-1-10000-20-2000000000000110
χ222222222-1222-12-1-12-1222-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-1-12-1-1-1-10000-2-20011111111-211-211110000202000000000000-1-10
χ23222222-1222-12-122-1-12-1-122-1-1-1222-1-12000022-1-1-1-1-1-1-12222002200000000-122-1-1-1-1-10000020-1-1-1-1-1-1-1-10000000
χ24222222-1222-12-122-1-12-1-122-1-1-1222-1-12000022-1-1-1-1-1-1-1-2-2-2-200-2-200000000-122-1-1-1-1-100000-20111111110000000
χ25222222-1222-12-122-1-12-1-122-1-1-1222-1-120000-2-2-1-1-1-1-1-1-122-2-200-2-2000000001-2-2111110000020-1-1-1-111110000000
χ26222222-1222-12-122-1-12-1-122-1-1-1222-1-120000-2-2-1-1-1-1-1-1-1-2-2220022000000001-2-21111100000-201111-1-1-1-10000000
χ272222-2-222-2-222222222-2-2-2-2222-222-2-2-2000000-2-22-2-22200000000000000000000000022-2-200000000000200-2000
χ282222-2-222-2-222222222-2-2-2-2222-222-2-2-2000000-2-22-2-222000000000000000000000000-2-22200000000000-2002000
χ292222-2-22-1222-12-1-12-1-2-2-211-1-1-1-11122-122222-211-2-1-1110000-2-200-1-1-1-11111-2-112-1-1110000-2020000000000001-10
χ302222-2-22-1222-12-1-12-1-2-2-211-1-1-1-11122-12222-2211-2-1-1110000-2-200-1-1-1-1111121-1-211-1-1000020-2000000000000-110
χ312222-2-22-1222-12-1-12-1-2-2-211-1-1-1-11122-1-2-2-2-22-211-2-1-111000022001111-1-1-1-1-2-112-1-111000020-2000000000000-110
χ322222-2-22-1222-12-1-12-1-2-2-211-1-1-1-11122-1-2-2-2-2-2211-2-1-111000022001111-1-1-1-121-1-211-1-10000-2020000000000001-10
χ332222-2-2-1222-12-122-1-1-211-2-2-1-1-12-2-2-1-1200002-2111-1-111222200-2-20000000012-2-1-1-11100000-20-1-111-1-1110000000
χ342222-2-2-1222-12-122-1-1-211-2-2-1-1-12-2-2-1-1200002-2111-1-111-2-2-2-200220000000012-2-1-1-111000002011-1-111-1-10000000
χ352222-2-2-1222-12-122-1-1-211-2-2-1-1-12-2-2-1-120000-22111-1-11122-2-2002200000000-1-22111-1-100000-20-1-11111-1-10000000
χ362222-2-2-1222-12-122-1-1-211-2-2-1-1-12-2-2-1-120000-22111-1-111-2-22200-2-200000000-1-22111-1-1000002011-1-1-1-1110000000
χ3722-2-22-2220022-2-2-2-2202-22-22-2-200000022−2−2002-200000002−22−22−222−2−222−2−2000000002-22-200000002−22−20000000
χ3822-2-22-2220022-2-2-2-2202-22-22-2-200000022−2−2002-20000000−222−2−2222−2−222−2−200000000-22-220000000−22−220000000
χ3922-2-22-2220022-2-2-2-2202-22-22-2-2000000−2−222002-200000002−2−222−2−2−222−2−22200000000-22-2200000002−22−20000000
χ4022-2-22-2220022-2-2-2-2202-22-22-2-2000000−2−222002-20000000−22−22−22−2−222−2−222000000002-22-20000000−22−220000000
χ4122-2-2-22220022-2-2-2-220-22-222-2-200000022−2−200-2200000002−2−22−2222−2−2−2−22200000000-222-200000002−2−220000000
χ4222-2-2-22220022-2-2-2-220-22-222-2-200000022−2−200-220000000−22−222−222−2−2−2−222000000002-2-220000000−222−20000000
χ4322-2-2-22220022-2-2-2-220-22-222-2-2000000−2−22200-2200000002−22−2−22−2−22222−2−2000000002-2-2200000002−2−220000000
χ4422-2-2-22220022-2-2-2-220-22-222-2-2000000−2−22200-220000000−222−22−2−2−22222−2−200000000-222-20000000−222−20000000
χ452-2-2200222-2-2-22-22-2200000-2-222002-2-22i−2i2i−2i000002-2002i−2i0000002i−2i2i−2i00000000000000000002i−2i00000002-20000
χ462-2-2200222-2-2-22-22-2200000-2-222002-2-22i−2i2i−2i000002-200−2i2i0000002i−2i2i−2i0000000000000000000−2i2i0000000-220000
χ472-2-2200222-2-2-22-22-2200000-2-222002-2-2−2i2i−2i2i000002-2002i−2i000000−2i2i−2i2i00000000000000000002i−2i0000000-220000
χ482-2-2200222-2-2-22-22-2200000-2-222002-2-2−2i2i−2i2i000002-200−2i2i000000−2i2i−2i2i0000000000000000000−2i2i00000002-20000
χ494444444-2-4-44-24-2-24-2-444-2-2-2-2-2222-4-42000000-2-2-422220000000000000000000000000000000000000000000000
χ50444444-24-4-4-24-244-2-2-4-2-244-2-2-2-4-4-422-4000000-2-2222220000000000000000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-200004411-211110000000000000000-2-2-2-211110000000000000000000000
χ52444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000-4-411-2111100000000000000002222-1-1-1-10000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000112-1-1-1-1000000000000000000003-33-30000000000000000000000
χ54444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000112-1-1-1-100000000000000000000-33-330000000000000000000000
χ554444-4-44-2-4-44-24-2-24-24-4-422-2-2-22-2-2-4-4200000022422-2-20000000000000000000000000000000000000000000000
χ564444-4-4-24-4-4-24-244-2-2422-4-4-2-2-2-44422-400000022-222-2-20000000000000000000000000000000000000000000000
χ574444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-200004-4-1-1211-1-100000000000000002-22-211-1-10000000000000000000000
χ584444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-20000-44-1-1211-1-10000000000000000-22-22-1-1110000000000000000000000
χ594444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-2222000000-1-1-2-1-111000000000000000000003-3-330000000000000000000000
χ604444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-2222000000-1-1-2-1-11100000000000000000000-333-30000000000000000000000
χ6144-4-44-44-2004-2-422-4-204-4-22-2220000002222−22−2200-2200000000022−2200−2−222−2−222000000000000000000000000000000
χ6244-4-44-44-2004-2-422-4-204-4-22-222000000−22−22222200-22000000000−22220022−2−222−2−2000000000000000000000000000000
χ6344-4-44-4-2400-242-4-42-20-224-4-222000000000000-22000000022−220022−22000000000000000000000000000−22−220000000
χ6444-4-44-4-2400-242-4-42-20-224-4-222000000000000-220000000−222200−22220000000000000000000000000002−22−20000000
χ6544-4-4-444-2004-2-422-4-20-442-2-2220000002222−22−22002-2000000000−222200−2−22222−2−2000000000000000000000000000000
χ6644-4-4-444-2004-2-422-4-20-442-2-222000000−22−222222002-200000000022−220022−2−2−2−222000000000000000000000000000000
χ6744-4-4-44-2400-242-4-42-202-2-44-2220000000000002-2000000022−2200−2222000000000000000000000000000−222−20000000
χ6844-4-4-44-2400-242-4-42-202-2-44-2220000000000002-20000000−22220022−220000000000000000000000000002−2−220000000
χ694-44-4004400-4-4-44-44400000-44-4000000−2i22i22i2−2i200000000000000000−2i22i22i2−2i20000000000000000000000000000000000
χ704-44-4004400-4-4-44-44400000-44-40000002i2−2i2−2i22i2000000000000000002i2−2i2−2i22i20000000000000000000000000000000000
χ714-44-4004-200-42-4-224-2000002-22023−23000−2i22i22i2−2i2000000023−2300000000i2−i2−i2i2i6−i6i6−i6000000000000000000000000000000
χ724-44-4004-200-42-4-224-2000002-22023−230002i2−2i2−2i22i2000000023−2300000000−i2i2i2−i2−i6i6−i6i6000000000000000000000000000000
χ734-44-4004-200-42-4-224-2000002-220−2323000−2i22i22i2−2i20000000−232300000000i2−i2−i2i2−i6i6−i6i6000000000000000000000000000000
χ744-44-4004-200-42-4-224-2000002-220−23230002i2−2i2−2i22i20000000−232300000000−i2i2i2−i2i6−i6i6−i6000000000000000000000000000000
χ754-4-440044-44-4-44-44-4400000-4-44-400-444000000000-44000000000000000000000000000000000000000000000000
χ764-4-44004-24-4-4242-2-4-20000022-2-2004-424i−4i4i−4i00000-220000000000−2i2i−2i2i0000000000000000000000000000000000
χ774-4-44004-24-4-4242-2-4-20000022-2-2004-42−4i4i−4i4i00000-2200000000002i−2i2i−2i0000000000000000000000000000000000
χ784-4-44004-2-44-4242-2-4-20000022-2200-44-20000000002-200000000000000−2i32i32i3−2i3000000000000000000000000000000
χ794-4-44004-2-44-4242-2-4-20000022-2200-44-20000000002-2000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ804-4-4400-244-42-4-2-442-20000022-2400-22-4000000000-22004i−4i00000000000000000000000000000−2i2i0000000000000
χ814-4-4400-244-42-4-2-442-20000022-2400-22-4000000000-2200−4i4i000000000000000000000000000002i−2i0000000000000
χ824-4-4400-24-442-4-2-442-20000022-2-4002-240000000002-20000000000000000000000000000000000023−2300000000000
χ834-4-4400-24-442-4-2-442-20000022-2-4002-240000000002-200000000000000000000000000000000000−232300000000000
χ8488-8-88-8-4-400-4-4444420-44-442-2-20000000000002-2000000000000000000000000000000000000000000000000000
χ8588-8-8-88-4-400-4-44444204-44-42-2-2000000000000-22000000000000000000000000000000000000000000000000000
χ868-88-800-48004-848-8-4-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ878-88-800-4-400444-44-4200000-22-2043−4300000000000000−23230000000000000000000000000000000000000000000000
χ888-88-800-4-400444-44-4200000-22-20−43430000000000000023−230000000000000000000000000000000000000000000000
χ898-8-8800-4-48-844-44-44200000-2-22-400-4440000000002-2000000000000000000000000000000000000000000000000
χ908-8-8800-4-4-8844-44-44200000-2-224004-4-4000000000-22000000000000000000000000000000000000000000000000

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