Finite Group Databasebeta

← Group #11895762

Character table — Group #11895762

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order1222334444666666344466612121212121212121212121212121212266666666121212121212121212121212444412121212224466668812122424242422888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1
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
χ5111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111
χ6111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1
χ7111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1
χ8111111111111111111-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-11
χ9111111-1-1111111111-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-111-1-11-11-111-1-11-11-111-1-11111-1-11-1-1
χ10111111-1-1111111111-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-111-1-11-1-1111-1-1-111-1-1-111-1-1-1-111-111
χ11111111-1-1111111111-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-111-1-1-1111-1-1111-1-1-1-1-1-1111-11
χ12111111-1-1111111111-111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11-1-111-11-11-1-111-11-11-1-1111111-1-1-11-1
χ13111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-111-1-1-111-111-1-1-11111-1-1111-1-1
χ14111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-11-11-1-1111-11-111-1-1-1-111-1-1-111
χ15111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1111-11-111-1-1-11-11-1-111-1-111-1-11-11
χ16111111-1-1111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-11-11-1-1111-1-1111-1-11-1-1111-1-111-1-111-11-1
χ1722222222-2-22222222-200222-2-2-2222200002222-200000000000-2-2-2-2-2-2000022-2-2-2-2-2-20000000000220000000000000
χ1822222222-2-22222222-200222-2-2-2222200002222-200000000000-2-2-2-2-2-20000-2-22222220000000000-2-20000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-20000000000022-2-22200002-2-22-2-22200000000002-20000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-2-20000-2-2-2-2-20000000000022-2-2220000-222-222-2-20000000000-220000000000000
χ2122222-122222-12-1-12-1222-1-1-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-12-1-1-1-1-1-1-1-12222-1-1-1-12200-1-1-1-100-1-10000000000000
χ2222222-122222-12-1-12-1222-1-1-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-12-1-1-1-1-1-1-1-1-2-2-2-21111-2-200111100110000000000000
χ2322222-122222-12-1-12-12-2-2-1-1-12-1-122-1-11111-1-1-1-12-2-2-2111111-2-2-12-1-1-1-111112222-1-1-1-1-2-200111100-1-10000000000000
χ2422222-122222-12-1-12-12-2-2-1-1-12-1-122-1-11111-1-1-1-12-2-2-2111111-2-2-12-1-1-1-11111-2-2-2-211112200-1-1-1-100110000000000000
χ2522222-122-2-22-12-1-12-1-200-1-1-1-21122-1-1−i3−i3i3i3-1-1-1-1-2000−i3i3−i3−i3i3i3001-21111−i3−i3i3i322-2-211110000−i3i3−i3i300-1-10000000000000
χ2622222-122-2-22-12-1-12-1-200-1-1-1-21122-1-1−i3−i3i3i3-1-1-1-1-2000−i3i3−i3−i3i3i3001-21111−i3−i3i3i3-2-222-1-1-1-10000i3−i3i3−i300110000000000000
χ2722222-122-2-22-12-1-12-1-200-1-1-1-21122-1-1i3i3−i3−i3-1-1-1-1-2000i3−i3i3i3−i3−i3001-21111i3i3−i3−i322-2-211110000i3−i3i3−i300-1-10000000000000
χ2822222-122-2-22-12-1-12-1-200-1-1-1-21122-1-1i3i3−i3−i3-1-1-1-1-2000i3−i3i3i3−i3−i3001-21111i3i3−i3−i3-2-222-1-1-1-10000−i3i3−i3i300110000000000000
χ2922222-1-2-2222-12-1-12-1-222-1-1-12-1-1-2-211-1-1-1-111112-2-2-2111111221-2-1-111-1-1-1-12-22-2-1-1112-200-1-11100-110000000000000
χ3022222-1-2-2222-12-1-12-1-222-1-1-12-1-1-2-211-1-1-1-111112-2-2-2111111221-2-1-111-1-1-1-1-22-2211-1-1-220011-1-1001-10000000000000
χ3122222-1-2-2222-12-1-12-1-2-2-2-1-1-12-1-1-2-211111111112222-1-1-1-1-1-1-2-21-2-1-11111112-22-2-1-111-220011-1-100-110000000000000
χ3222222-1-2-2222-12-1-12-1-2-2-2-1-1-12-1-1-2-211111111112222-1-1-1-1-1-1-2-21-2-1-1111111-22-2211-1-12-200-1-111001-10000000000000
χ3322222-1-2-2-2-22-12-1-12-1200-1-1-1-211-2-211−i3−i3i3i31111-2000i3−i3i3i3−i3−i300-1211-1-1−i3−i3i3i32-2-2211-1-10000−i3i3i3−i300-110000000000000
χ3422222-1-2-2-2-22-12-1-12-1200-1-1-1-211-2-211−i3−i3i3i31111-2000i3−i3i3i3−i3−i300-1211-1-1−i3−i3i3i3-222-2-1-1110000i3−i3−i3i3001-10000000000000
χ3522222-1-2-2-2-22-12-1-12-1200-1-1-1-211-2-211i3i3−i3−i31111-2000−i3i3−i3−i3i3i300-1211-1-1i3i3−i3−i32-2-2211-1-10000i3−i3−i3i300-110000000000000
χ3622222-1-2-2-2-22-12-1-12-1200-1-1-1-211-2-211i3i3−i3−i31111-2000−i3i3−i3−i3i3i300-1211-1-1i3i3−i3−i3-222-2-1-1110000−i3i3i3−i3001-10000000000000
χ372222-122222-12-122-1-1222-1-1-1-122-1-1222222-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-100000000002200002200-1-1-1-1000000-1-10
χ382222-122222-12-122-1-1222-1-1-1-122-1-1222222-1-1-1-1-12-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-10000000000-2-20000-2-2001111000000110
χ392222-122222-12-122-1-12-2-2-1-1-1-122-1-122-2-2-2-2-1-1-1-1-1-211-2-21111112-1-1-1-1-111110000000000220000-2-2001111000000-1-10
χ402222-122222-12-122-1-12-2-2-1-1-1-122-1-122-2-2-2-2-1-1-1-1-1-211-2-21111112-1-1-1-1-111110000000000-2-200002200-1-1-1-1000000110
χ412222-12-2-222-12-122-1-1-222-1-1-1-12211-2-222221111-1-211-2-21111-1-1-21-1-111-1-1-1-100000000002-200002-200-1-111000000-110
χ422222-12-2-222-12-122-1-1-222-1-1-1-12211-2-222221111-1-211-2-21111-1-1-21-1-111-1-1-1-10000000000-220000-220011-1-10000001-10
χ432222-12-2-222-12-122-1-1-2-2-2-1-1-1-12211-2-2-2-2-2-21111-12-1-122-1-1-1-111-21-1-111111100000000002-20000-220011-1-1000000-110
χ442222-12-2-222-12-122-1-1-2-2-2-1-1-1-12211-2-2-2-2-2-21111-12-1-122-1-1-1-111-21-1-11111110000000000-2200002-200-1-1110000001-10
χ4522-2-22200-2222-2-2-2-2202i−2i2-2-2-22-200002i−2i2i−2i000020000000002i−2i002-2002i−2i2i−2i0000000000000000000000002-22i−2i00000
χ4622-2-22200-2222-2-2-2-2202i−2i2-2-2-22-200002i−2i2i−2i000020000000002i−2i002-2002i−2i2i−2i000000000000000000000000-22−2i2i00000
χ4722-2-22200-2222-2-2-2-220−2i2i2-2-2-22-20000−2i2i−2i2i00002000000000−2i2i002-200−2i2i−2i2i0000000000000000000000002-2−2i2i00000
χ4822-2-22200-2222-2-2-2-220−2i2i2-2-2-22-20000−2i2i−2i2i00002000000000−2i2i002-200−2i2i−2i2i000000000000000000000000-222i−2i00000
χ494444-2444-4-4-24-244-2-2-400-2-2-22-4-4-2-2440000-2-2-2-2200000000000-4222220000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-244-2-2400-2-2-22-4-422-4-4000022222000000000004-222-2-20000000000000000000000000000000000000
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
χ524444-2-24444-2-2-2-2-2-214-4-4111-2-2-2-2-2-2-222221111-2-42222-1-1-1-122-2-21111-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-400111222-2-2-2-2−2i3−2i32i32i311112000−2i32i3i3i3−i3−i30022-1-1-1-1i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-400111222-2-2-2-22i32i3−2i3−2i3111120002i3−2i3−i3−i3i3i30022-1-1-1-1−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-444111-2-2-22222-2-2-2-2-1-1-1-1-2-42222-1-1-1-1-2-22211-1-11111000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4-4-4111-2-2-222222222-1-1-1-1-24-2-2-2-21111222211-1-1-1-1-1-1000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-214001112222222−2i3−2i32i32i3-1-1-1-120002i3−2i3−i3−i3i3i300-2-2-1-111i3i3−i3−i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2140011122222222i32i3−2i3−2i3-1-1-1-12000−2i32i3i3i3−i3−i300-2-2-1-111−i3−i3i3i3000000000000000000000000000000000
χ5944-4-444004-444-4-4-4-440004-4-44-44000000000000-40000000000000-44000000000000000000000000000000000000000
χ6044-4-44-2004-44-2-422-4-2000-22242-2000023−23−23230000-400000000000002-20023−23−2323000000000000000000000000000000000
χ6144-4-44-2004-44-2-422-4-2000-22242-20000−232323−230000-400000000000002-200−232323−23000000000000000000000000000000000
χ6244-4-44-200-444-2-422-4-204i−4i-222-4-220000−2i2i−2i2i000040000000004i−4i00-2200−2i2i−2i2i000000000000000000000000000000000
χ6344-4-44-200-444-2-422-4-20−4i4i-222-4-2200002i−2i2i−2i00004000000000−4i4i00-22002i−2i2i−2i000000000000000000000000000000000
χ6444-4-4-24004-4-242-4-42-2000-222-2-4400000000000020−2i32i300−2i32i3−2i32i300002-2000000000000000000000000000000000000000
χ6544-4-4-24004-4-242-4-42-2000-222-2-44000000000000202i3−2i3002i3−2i32i3−2i300002-2000000000000000000000000000000000000000
χ6644-4-4-2400-44-242-4-42-204i−4i-22224-400004i−4i4i−4i0000-2000000000−2i2i00-2200−2i2i−2i2i000000000000000000000000000000000
χ6744-4-4-2400-44-242-4-42-20−4i4i-22224-40000−4i4i−4i4i0000-20000000002i−2i00-22002i−2i2i−2i000000000000000000000000000000000
χ6844-4-4-2-2004-4-2-2222210001-1-1-22-2000023−23−23233i3i−3i−3i20−2i32i300i3−i3i3−i30000-113i−3i−333−3000000000000000000000000000000000
χ6944-4-4-2-2004-4-2-2222210001-1-1-22-2000023−23−2323−3i−3i3i3i202i3−2i300−i3i3−i3i30000-11−3i3i−333−3000000000000000000000000000000000
χ7044-4-4-2-2004-4-2-2222210001-1-1-22-20000−232323−233i3i−3i−3i202i3−2i300−i3i3−i3i30000-113i−3i3−3−33000000000000000000000000000000000
χ7144-4-4-2-2004-4-2-2222210001-1-1-22-20000−232323−23−3i−3i3i3i20−2i32i300i3−i3i3−i30000-11−3i3i3−3−33000000000000000000000000000000000
χ7244-4-4-2-200-44-2-22222104i−4i1-1-12-220000−2i2i−2i2i3i3i−3i−3i-200000-333-3−2i2i001-1−3i3ii−ii−i000000000000000000000000000000000
χ7344-4-4-2-200-44-2-22222104i−4i1-1-12-220000−2i2i−2i2i−3i−3i3i3i-2000003-3-33−2i2i001-13i−3ii−ii−i000000000000000000000000000000000
χ7444-4-4-2-200-44-2-2222210−4i4i1-1-12-2200002i−2i2i−2i3i3i−3i−3i-2000003-3-332i−2i001-1−3i3i−ii−ii000000000000000000000000000000000
χ7544-4-4-2-200-44-2-2222210−4i4i1-1-12-2200002i−2i2i−2i−3i−3i3i3i-200000-333-32i−2i001-13i−3i−ii−ii000000000000000000000000000000000
χ764-44-4440000-4-4-44-444000-44-40000000000000000000000000000000000000000000000000000000000000000022−22000
χ774-44-4440000-4-4-44-444000-44-400000000000000000000000000000000000000000000000000000000000000000−2222000
χ784-4-44444-400-4-44-44-44000-4-440004-44-400004-44-40000000000000000000000000000000000000000000000000000000
χ794-4-4444-4400-4-44-44-44000-4-44000-44-440000-44-440000000000000000000000000000000000000000000000000000000
χ804-4-444-24-400-4242-2-4-200022-20004-4-220000-22-2200000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ814-4-444-24-400-4242-2-4-200022-20004-4-220000-22-22000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ824-4-444-2-4400-4242-2-4-200022-2000-442-200002-22-200000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ834-4-444-2-4400-4242-2-4-200022-2000-442-200002-22-2000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ844-4-44-244-4002-4-2-442-200022-2000-224-40000-22-220000000000000000000000000000000000000000006−66−6000000000
χ854-4-44-244-4002-4-2-442-200022-2000-224-40000-22-22000000000000000000000000000000000000000000−66−66000000000
χ864-4-44-24-44002-4-2-442-200022-20002-2-4400002-22-20000000000000000000000000000000000000000006−6−66000000000
χ874-4-44-24-44002-4-2-442-200022-20002-2-4400002-22-2000000000000000000000000000000000000000000−666−6000000000
χ888-88-88-40000-84-8-448-40004-440000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4800004-848-8-4-40004-440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000444-44-42000-22-2000000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40000444-44-42000-22-200000000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000
χ928-8-88-4-48-80044-44-442000-2-22000-44-4400002-22-20000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4-880044-44-442000-2-220004-44-40000-22-220000000000000000000000000000000000000000000000000000000

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