Finite Group Databasebeta

← Group #11866339

Character table — Group #11866339

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666344666881212121221212121212122424242424242424444444441212121266661212224424881212121212122424242444886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-11-11-1111-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-11-11-1-1-1111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11-11111-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11-11-1-1-1-111111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1111-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200000-2-2000000002-2002-200222200000022-2-20000-200-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-200-220022-2-2000000-2-2220000-20020000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-22002-200-2-222000000-2-2220000200-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2200-2200-2-2-2-200000022-2-2000020020000000000000
χ2122222-1222-1-122-1-122-1-1-122-12-122-1-122-1-122-1-1-1-1-1-122220000-1-1002-1-1-1-1-100002020-1-1-1000-1-1000000-100
χ2222222-1222-1-122-1-122-1-1-122-12-122-1-122-1-122-1-1-1-1-1-1-2-2-2-2000011002-1-1-1-1-10000-20-2011100011000000100
χ2322222-1222-1-122-1-122-1-1-1-2-2-12-12-2-1-122-1-1-2-211111122220000-1-100-2111-1-10000-20-20-1-1-100011000000100
χ2422222-1222-1-122-1-122-1-1-1-2-2-12-12-2-1-122-1-1-2-2111111-2-2-2-200001100-2111-1-100002020111000-1-1000000-100
χ2522222-1222-1-122-1-1-2-2-1-1-122-12-12-211-2-2-1-122-1-1-1-1-1-122-2-20000-1-100-2111110000-2020-111000-1-1000000100
χ2622222-1222-1-122-1-1-2-2-1-1-122-12-12-211-2-2-1-122-1-1-1-1-1-1-2-22200001100-211111000020-201-1-100011000000-100
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-2-12-12211-2-2-1-1-2-211111122-2-20000-1-1002-1-1-111000020-20-11100011000000-100
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-2-12-12211-2-2-1-1-2-2111111-2-222000011002-1-1-1110000-20201-1-1000-1-1000000100
χ292222-1222-122-1-12-122-1-1-1222-12-1222-1-1-1-1-1-122-1-1-1-10000222200-1-1-12-1-1-1-100000202000-1-1-100-1-100000-10
χ302222-1222-122-1-12-122-1-1-1222-12-1222-1-1-1-1-1-122-1-1-1-10000-2-2-2-20011-12-1-1-1-100000-20-200011100110000010
χ312222-1222-122-1-12-122-1-1-1-2-22-12-1-222-1-1-1-111-2-211110000222200-1-11-211-1-100000-20-2000-1-1-100110000010
χ322222-1222-122-1-12-122-1-1-1-2-22-12-1-222-1-1-1-111-2-211110000-2-2-2-200111-211-1-10000020200011100-1-100000-10
χ332222-1222-122-1-12-1-2-2-1-1-1222-12-1-2-2-211-1-1-1-122-1-1-1-1000022-2-200-1-11-2111100000-202000-11100-1-10000010
χ342222-1222-122-1-12-1-2-2-1-1-1222-12-1-2-2-211-1-1-1-122-1-1-1-10000-2-22200111-211110000020-20001-1-1001100000-10
χ352222-1222-122-1-12-1-2-2-1-1-1-2-22-12-12-2-211-1-111-2-21111000022-2-200-1-1-12-1-1110000020-2000-111001100000-10
χ362222-1222-122-1-12-1-2-2-1-1-1-2-22-12-12-2-211-1-111-2-211110000-2-2220011-12-1-11100000-2020001-1-100-1-10000010
χ372-2-22222-2-22-22-2-2200-2-220022-2-2000002-200000000002i−2i002i−2i00000000002-22-2000002i−2i02i−2i00000000000
χ382-2-22222-2-22-22-2-2200-2-220022-2-2000002-200000000002i−2i00−2i2i0000000000-22-22000002i−2i0−2i2i00000000000
χ392-2-22222-2-22-22-2-2200-2-220022-2-2000002-20000000000−2i2i002i−2i0000000000-22-2200000−2i2i02i−2i00000000000
χ402-2-22222-2-22-22-2-2200-2-220022-2-2000002-20000000000−2i2i00−2i2i00000000002-22-200000−2i2i0−2i2i00000000000
χ412-2-2222-22-22-22-2-222-2-2-2200-2-22202-22-2-220000000000000000000000002-22-2-22000000000000002-200000
χ422-2-2222-22-22-22-2-222-2-2-2200-2-22202-22-2-220000000000000000000000002-2-222-200000000000000-2200000
χ432-2-2222-22-22-22-2-22-22-2-2200-2-2220-22-22-22000000000000000000000000-222-2-2200000000000000-2200000
χ442-2-2222-22-22-22-2-22-22-2-2200-2-2220-22-22-22000000000000000000000000-22-222-2000000000000002-200000
χ4544444-2-4-44-2-244-2-200-2-2-2002-42-40000022000000004-4000000-2-2000000000000000020000000000000000
χ4644444-2-4-44-2-244-2-200-2-2-2002-42-4000002200000000-44000000220000000000000000-20000000000000000
χ474444-24-4-4-244-2-24-200-2-2-200-42-4200000220000000000004-40000-2-20000000000000000020000000000000
χ484444-24-4-4-244-2-24-200-2-2-200-42-420000022000000000000-4400002200000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-100000000000022-1-1110000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-211-1-10000000000000000000000000
χ5344-4-444004-4-4-4-444004-4-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5444-4-444004-4-4-4-444004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ554-44-44400-4-44-44-4400-44-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ564-44-44400-4-44-44-4400-44-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ574-44-44-200-42-2-442-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i200000000−2i32i300000000000000000000006−6000000000
χ584-44-44-200-42-2-442-2002-22−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000002i3−2i30000000000000000000000−66000000000
χ594-44-44-200-42-2-442-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i200000000−2i32i30000000000000000000000−66000000000
χ604-44-44-200-42-2-442-2002-222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000002i3−2i300000000000000000000006−6000000000
χ614-44-4-24002-442-2-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000000000023−230000000000000000000000i6−i60000000
χ624-44-4-24002-442-2-4-2002-22−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000000000−23230000000000000000000000−i6i60000000
χ634-44-4-24002-442-2-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000000000023−230000000000000000000000−i6i60000000
χ644-44-4-24002-442-2-4-2002-222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000000000−23230000000000000000000000i6−i60000000
χ654-4-444-24-4-4-224-42-20022-200-242-400000-2200000000004i−4i00000000000000000000000−2i2i00000000000000
χ664-4-444-24-4-4-224-42-20022-200-242-400000-220000000000−4i4i000000000000000000000002i−2i00000000000000
χ674-4-444-2-44-4-224-42-24-422-2002-4-240-224-42-2000000000000000000000000-220000000000000000000000000
χ684-4-444-2-44-4-224-42-2-4422-2002-4-2402-2-442-20000000000000000000000002-20000000000000000000000000
χ694-4-44-244-424-4-22-4-20022-2004-2-4200000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ704-4-44-244-424-4-22-4-20022-2004-2-4200000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ714-4-44-24-4424-4-22-4-24-422-200-424-204-4-222-2000000000000000000000000-220000000000000000000000000
χ724-4-44-24-4424-4-22-4-2-4422-200-424-20-442-22-20000000000000000000000002-20000000000000000000000000
χ734-4-44-2-2-442-22-22214-4-1-110022-2-20-22-22-1100003-33-3000000000000003-31-10000000000000000000000000
χ744-4-44-2-2-442-22-22214-4-1-110022-2-20-22-22-110000-33-3300000000000000-331-10000000000000000000000000
χ754-4-44-2-2-442-22-2221-44-1-110022-2-202-22-2-1100003-33-300000000000000-33-110000000000000000000000000
χ764-4-44-2-2-442-22-2221-44-1-110022-2-202-22-2-110000-33-33000000000000003-3-110000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-88-400844-8-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4800-4-8-8448-400-4440000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-42002-2-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ8188-8-8-4-400-44444-42002-2-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44200-22-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-44200-22-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ848-8-88-4-48-84-44-444200-2-2200-4-444000002-2000000000000000000000000000000000000000000000000000

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