Finite Group Databasebeta

← Group #11895863

Character table — Group #11895863

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order12223344446666663444666121212121212121212121212121212122666666661212121212121212121212124444121212124444881212121212122424242422888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111
χ6111111111111111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ7111111111111111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ8111111111111111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-11
χ9111111-1-1111111111-1111111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-111-1-11-11-11-11-111-1-111-1-11111-1-11-1-1
χ10111111-1-1111111111-1111111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-111-1-11-1-11-111-111-1-1-1-111-1-1-1-111-111
χ11111111-1-1111111111-1111111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11-1-111-111-11-1-11-1-11111-1-1-1-1-1-1111-11
χ12111111-1-1111111111-1111111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11-11-1-111-11-11-11-11-1-111-1-1111111-1-1-11-1
χ13111111-1-1111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-111-1-111-1-1-111-1-11111-1-1111-1-1
χ14111111-1-1111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-11-111-11-1-1-11111-1-1-1-111-1-1-111
χ15111111-1-1111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1111-11-1-11-1111-1-1-1-111-1-111-1-11-11
χ16111111-1-1111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1111-1-111-1-1111-1-111-1-111-1-111-11-1
χ1722222222-2-22222222-200222-2220000-2-2222222-2000000000-2-200-2-2-2-2000022-2-22222000000-2-200000000000000000
χ1822222222-2-22222222-200222-2220000-2-2222222-2000000000-2-200-2-2-2-20000-2-222-2-2-2-20000002200000000000000000
χ19222222-2-2-2-22222222200222-2-2-20000-2-2-2-2-2-2-2-2-20000000002200-2-22200002-2-2222-2-2000000-2200000000000000000
χ20222222-2-2-2-22222222200222-2-2-20000-2-2-2-2-2-2-2-2-20000000002200-2-2220000-222-2-2-2220000002-200000000000000000
χ2122222-1222222-1-1-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1220000-1-1-1-1-1-10000000000000
χ2222222-1222222-1-1-12-1222-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-200001111110000000000000
χ2322222-1222222-1-1-12-12-2-2-1-1-12-1-11111-1-122-1-1-1-12-2-2-21111112-1-2-2-1-1-1-111112222-1-1-1-1-2-20000-1-111110000000000000
χ2422222-1222222-1-1-12-12-2-2-1-1-12-1-11111-1-122-1-1-1-12-2-2-21111112-1-2-2-1-1-1-11111-2-2-2-2111122000011-1-1-1-10000000000000
χ2522222-122-2-222-1-1-12-1-200-1-1-1-2-1-1−i3−i3i3i31122-1-1-1-1-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i322-2-2-1-1-1-100000011−i3i3−i3i30000000000000
χ2622222-122-2-222-1-1-12-1-200-1-1-1-2-1-1−i3−i3i3i31122-1-1-1-1-2000−i3i3−i3−i3i3i3-21001111−i3−i3i3i3-2-2221111000000-1-1i3−i3i3−i30000000000000
χ2722222-122-2-222-1-1-12-1-200-1-1-1-2-1-1i3i3−i3−i31122-1-1-1-1-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i322-2-2-1-1-1-100000011i3−i3i3−i30000000000000
χ2822222-122-2-222-1-1-12-1-200-1-1-1-2-1-1i3i3−i3−i31122-1-1-1-1-2000i3−i3i3i3−i3−i3-21001111i3i3−i3−i3-2-2221111000000-1-1−i3i3−i3i30000000000000
χ2922222-1-2-22222-1-1-12-1-222-1-1-1211-1-1-1-1-1-1-2-211112-2-2-2111111-2122-1-111-1-1-1-12-22-2-1-1112-20000-11-1-1110000000000000
χ3022222-1-2-22222-1-1-12-1-222-1-1-1211-1-1-1-1-1-1-2-211112-2-2-2111111-2122-1-111-1-1-1-1-22-2211-1-1-2200001-111-1-10000000000000
χ3122222-1-2-22222-1-1-12-1-2-2-2-1-1-12111111-1-1-2-211112222-1-1-1-1-1-1-21-2-2-1-11111112-22-2-1-111-220000-1111-1-10000000000000
χ3222222-1-2-22222-1-1-12-1-2-2-2-1-1-12111111-1-1-2-211112222-1-1-1-1-1-1-21-2-2-1-1111111-22-2211-1-12-200001-1-1-1110000000000000
χ3322222-1-2-2-2-222-1-1-12-1200-1-1-1-211−i3−i3i3i311-2-21111-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i32-2-22-1-1110000001-1−i3i3i3−i30000000000000
χ3422222-1-2-2-2-222-1-1-12-1200-1-1-1-211−i3−i3i3i311-2-21111-2000i3−i3i3i3−i3−i32-10011-1-1−i3−i3i3i3-222-211-1-1000000-11i3−i3−i3i30000000000000
χ3522222-1-2-2-2-222-1-1-12-1200-1-1-1-211i3i3−i3−i311-2-21111-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i32-2-22-1-1110000001-1i3−i3−i3i30000000000000
χ3622222-1-2-2-2-222-1-1-12-1200-1-1-1-211i3i3−i3−i311-2-21111-2000−i3i3−i3−i3i3i32-10011-1-1i3i3−i3−i3-222-211-1-1000000-11−i3i3i3−i30000000000000
χ372222-122222-1-1222-1-1222-1-1-1-122222222-1-1-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100000000002222000000-1-1-1-1000000-1-10
χ382222-122222-1-1222-1-1222-1-1-1-122222222-1-1-1-1-1-1-12-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000001111000000110
χ392222-122222-1-1222-1-12-2-2-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-211-2-21111-1211-1-1-1-11111000000000022-2-20000001111000000-1-10
χ402222-122222-1-1222-1-12-2-2-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-211-2-21111-1211-1-1-1-111110000000000-2-222000000-1-1-1-1000000110
χ412222-12-2-222-1-1222-1-1-222-1-1-1-1-2-2222222111111-1-211-2-211111-2-1-1-1-111-1-1-1-100000000002-22-2000000-1-111000000-110
χ422222-12-2-222-1-1222-1-1-222-1-1-1-1-2-2222222111111-1-211-2-211111-2-1-1-1-111-1-1-1-10000000000-22-2200000011-1-10000001-10
χ432222-12-2-222-1-1222-1-1-2-2-2-1-1-1-1-2-2-2-2-2-222111111-12-1-122-1-1-1-11-211-1-111111100000000002-2-2200000011-1-1000000-110
χ442222-12-2-222-1-1222-1-1-2-2-2-1-1-1-1-2-2-2-2-2-222111111-12-1-122-1-1-1-11-211-1-11111110000000000-222-2000000-1-1110000001-10
χ452-22-22200-222-2-2-22-2202i−2i2-2-2-2002i−2i2i−2i2-20000002000000000002i−2i2-2002i−2i2i−2i0000000000000000000000002-22i−2i00000
χ462-22-22200-222-2-2-22-2202i−2i2-2-2-2002i−2i2i−2i2-20000002000000000002i−2i2-2002i−2i2i−2i000000000000000000000000-22−2i2i00000
χ472-22-22200-222-2-2-22-220−2i2i2-2-2-200−2i2i−2i2i2-2000000200000000000−2i2i2-200−2i2i−2i2i0000000000000000000000002-2−2i2i00000
χ482-22-22200-222-2-2-22-220−2i2i2-2-2-200−2i2i−2i2i2-2000000200000000000−2i2i2-200−2i2i−2i2i000000000000000000000000-222i−2i00000
χ494444-2444-4-4-2-2444-2-2-400-2-2-22440000-4-4-2-2-2-2-2-220000000002-40022220000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-2444-2-2400-2-2-22-4-40000-4-42222222000000000-240022-2-20000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-21444111-2-2-2-2-2-2-2-2-2-2-21111-24-2-2-2-21111-2-2-2-211111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-214-4-4111-2-2-22222-2-2-2-21111-2-42222-1-1-1-1-2-2221111-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-4001112-2-2−2i3−2i32i32i322-2-211112000−2i32i3i3i3−i3−i32200-1-1-1-1i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-4001112-2-22i32i3−2i3−2i322-2-2111120002i3−2i3−i3−i3i3i32200-1-1-1-1−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-444111-222-2-2-2-2-2-222-1-1-1-1-2-42222-1-1-1-122-2-211-1-11111000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4-4-4111-2222222-2-222-1-1-1-1-24-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-21400111222−2i3−2i32i32i32222-1-1-1-120002i3−2i3−i3−i3i3i3-2-200-1-111i3i3−i3−i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-214001112222i32i3−2i3−2i32222-1-1-1-12000−2i32i3i3i3−i3−i3-2-200-1-111−i3−i3i3i3000000000000000000000000000000000
χ5944-4-4440000-444-4-4-44000-44-40000000000000000000000000000000000000000000000000000000000000000022−22000
χ6044-4-4440000-444-4-4-44000-44-400000000000000000000000000000000000000000000000000000000000000000−2222000
χ614-44-444004-44-4-4-44-440004-4-44000000-44000000-40000000000000-44000000000000000000000000000000000000000
χ624-44-44-2004-44-422-2-4-2000-22240023−23−23232-2000000-400000000000002-20023−23−2323000000000000000000000000000000000
χ634-44-44-2004-44-422-2-4-2000-222400−232323−232-2000000-400000000000002-200−232323−23000000000000000000000000000000000
χ644-44-44-200-444-422-2-4-204i−4i-222-400−2i2i−2i2i-220000004000000000004i−4i-2200−2i2i−2i2i000000000000000000000000000000000
χ654-44-44-200-444-422-2-4-20−4i4i-222-4002i−2i2i−2i-22000000400000000000−4i4i-22002i−2i2i−2i000000000000000000000000000000000
χ664-44-4-24004-4-22-4-442-2000-222-2000000-4400000020−2i32i300−2i32i3−2i32i300002-2000000000000000000000000000000000000000
χ674-44-4-24004-4-22-4-442-2000-222-2000000-44000000202i3−2i3002i3−2i32i3−2i300002-2000000000000000000000000000000000000000
χ684-44-4-2400-44-22-4-442-204i−4i-2222004i−4i4i−4i4-4000000-200000000000−2i2i-2200−2i2i−2i2i000000000000000000000000000000000
χ694-44-4-2400-44-22-4-442-20−4i4i-222200−4i4i−4i4i4-4000000-2000000000002i−2i-22002i−2i2i−2i000000000000000000000000000000000
χ704-44-4-2-2004-4-2222-2210001-1-1-20023−23−23232-2003i3i−3i−3i20−2i32i300i3−i3i3−i30000-113i−3i−333−3000000000000000000000000000000000
χ714-44-4-2-2004-4-2222-2210001-1-1-20023−23−23232-200−3i−3i3i3i202i3−2i300−i3i3−i3i30000-11−3i3i−333−3000000000000000000000000000000000
χ724-44-4-2-2004-4-2222-2210001-1-1-200−232323−232-2003i3i−3i−3i202i3−2i300−i3i3−i3i30000-113i−3i3−3−33000000000000000000000000000000000
χ734-44-4-2-2004-4-2222-2210001-1-1-200−232323−232-200−3i−3i3i3i20−2i32i300i3−i3i3−i30000-11−3i3i3−3−33000000000000000000000000000000000
χ744-44-4-2-200-44-2222-22104i−4i1-1-1200−2i2i−2i2i-22003i3i−3i−3i-200000-333-300−2i2i1-1−3i3ii−ii−i000000000000000000000000000000000
χ754-44-4-2-200-44-2222-22104i−4i1-1-1200−2i2i−2i2i-2200−3i−3i3i3i-2000003-3-3300−2i2i1-13i−3ii−ii−i000000000000000000000000000000000
χ764-44-4-2-200-44-2222-2210−4i4i1-1-12002i−2i2i−2i-22003i3i−3i−3i-2000003-3-33002i−2i1-1−3i3i−ii−ii000000000000000000000000000000000
χ774-44-4-2-200-44-2222-2210−4i4i1-1-12002i−2i2i−2i-2200−3i−3i3i3i-200000-333-3002i−2i1-13i−3i−ii−ii000000000000000000000000000000000
χ784-4-44444-400-4-4-44-444000-4-4404-40000004-44-44-40000000000000000000000000000000000000000000000000000000
χ794-4-4444-4400-4-4-44-444000-4-440-44000000-44-44-440000000000000000000000000000000000000000000000000000000
χ804-4-444-24-400-4-42-224-200022-20-220000004-4-22-220000000000000000000000000023−2323−230000000000000000000000000
χ814-4-444-24-400-4-42-224-200022-20-220000004-4-22-2200000000000000000000000000−2323−23230000000000000000000000000
χ824-4-444-2-4400-4-42-224-200022-202-2000000-442-22-20000000000000000000000000023−23−23230000000000000000000000000
χ834-4-444-2-4400-4-42-224-200022-202-2000000-442-22-200000000000000000000000000−232323−230000000000000000000000000
χ844-4-44-244-40022-44-4-2-200022-204-4000000-22-22-22000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ854-4-44-244-40022-44-4-2-200022-204-4000000-22-22-22000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ864-4-44-24-440022-44-4-2-200022-20-440000002-22-22-2000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ874-4-44-24-440022-44-4-2-200022-20-440000002-22-22-2000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ8888-8-88-40000-88-444-8-40004-440000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4800004-48-8-84-40004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400004-4-44442000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400004-4-44442000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000
χ928-8-88-4-48-800444-44-42000-2-220-44000000-442-22-20000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4-8800444-44-42000-2-2204-40000004-4-22-220000000000000000000000000000000000000000000000000000000

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