Finite Group Databasebeta

← Group #11873610

Character table — Group #11873610

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888899991212121212121212161616161616161618182424242424242424242424243636484848487272
order1222334466666636668812121212441212242424242424242422224444888812121212121212124444441212121224242424881212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ3111111111111111111111111111111111111-1-1-1-11-11-111-1-111111111-1-11-11-11-11-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-11-11-1-11111111111-1-1-11-11-11-11-1-111-1-1-1-111-1-1
χ5111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ6111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111-1-11111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1-11111
χ8111111111111111111111111-1-11111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-11-11-1-11-11-1-111-1-111-1-111
χ9111111111111111111-1-111111-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-11-11-11-1
χ10111111111111111111-1-111111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-1-11-111-1
χ11111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-11-1-111-11-1-1-111111-1-11-11
χ12111111111111111111-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1-111-1-11-1111-1-111-111-1-11
χ13111111111111111111-1-11111-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-11-11-11
χ14111111111111111111-1-11111-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-11-11-1-11
χ15111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-1-1-111-11-11-1-1-11111-111-11-1
χ16111111111111111111-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-11-1-11-11-1111-1-1111-1-111-1
χ17222222-2-2222222222200-2-2-2-200-2-200000000222222-2-2000000000000-2-20000-2-222000000000000
χ18222222-2-2222222222200-2-2-2-200-2-2000000002222-2-222000000000000-2-2000022-2-2000000000000
χ19222222-2-2222222222200-2-2-2-200-2-200000000-2-2-2-22-2-22000000000000220000-222-2000000000000
χ20222222-2-2222222222200-2-2-2-200-2-200000000-2-2-2-2-222-20000000000002200002-2-22000000000000
χ2122222-1222-122-1-1-1-1-1-1222-12-122-1-122-1-1-1-1-1-10000020200222-12-1-1-1-1-10002020-10-100-1-10000-1-100
χ2222222-1222-122-1-1-1-1-1-1222-12-122-1-122-1-1-1-1-1-100000-20-200-2-22-12-1-1-1-1-1000-20-20101001100001100
χ2322222-1222-122-1-1-1-1-1-1222-12-1-2-2-1-122-1-1-1-1-1-1000002020022-21-211111000-20-20-10-100-1-100001100
χ2422222-1222-122-1-1-1-1-1-1222-12-1-2-2-1-122-1-1-1-1-1-100000-20-200-2-2-21-211111000202010100110000-1-100
χ2522222-1222-122-1-1-1-1-1-1-2-22-12-12-2-1-1-2-21111110000020200-2-22-1-21-1-11100020-20-10-100110000-1100
χ2622222-1222-122-1-1-1-1-1-1-2-22-12-12-2-1-1-2-211111100000-20-200222-1-21-1-111000-202010100-1-100001-100
χ2722222-1222-122-1-1-1-1-1-1-2-22-12-1-22-1-1-2-21111110000020200-2-2-212-111-1-1000-2020-10-1001100001-100
χ2822222-1222-122-1-1-1-1-1-1-2-22-12-1-22-1-1-2-211111100000-20-20022-212-111-1-100020-2010100-1-10000-1100
χ292222-1222-12-1-122-1-1-1-122-12-1222-1-1-1-122-1-1-1-1000020202200-12-12-1-1-1-1002020-10-10-1-10000-1-10000
χ302222-1222-12-1-122-1-1-1-122-12-1222-1-1-1-122-1-1-1-10000-20-20-2-200-12-12-1-1-1-100-20-201010110000110000
χ312222-1222-12-1-122-1-1-1-122-12-12-2-2-1-1-1-122-1-1-1-10000202022001-21-2111100-20-20-10-10-1-10000110000
χ322222-1222-12-1-122-1-1-1-122-12-12-2-2-1-1-1-122-1-1-1-10000-20-20-2-2001-21-211110020201010110000-1-10000
χ332222-1222-12-1-122-1-1-1-1-2-2-12-122-2-1-111-2-2111100002020-2-200-121-2-1-1110020-20-10-10110000-110000
χ342222-1222-12-1-122-1-1-1-1-2-2-12-122-2-1-111-2-211110000-20-202200-121-2-1-11100-20201010-1-100001-10000
χ352222-1222-12-1-122-1-1-1-1-2-2-12-12-22-1-111-2-2111100002020-2-2001-2-1211-1-100-2020-10-101100001-10000
χ362222-1222-12-1-122-1-1-1-1-2-2-12-12-22-1-111-2-211110000-20-2022001-2-1211-1-10020-201010-1-10000-110000
χ372-2-22222-2-2-22-22-22-2-222i−2i-2-222002-22i−2i2i−2i2i2i−2i−2i22-2-200000000000000002-20000000000002i−2i000000
χ382-2-22222-2-2-22-22-22-2-222i−2i-2-222002-22i−2i2i−2i2i2i−2i−2i-2-2220000000000000000-22000000000000−2i2i000000
χ392-2-22222-2-2-22-22-22-2-22−2i2i-2-222002-2−2i2i−2i2i−2i−2i2i2i22-2-200000000000000002-2000000000000−2i2i000000
χ402-2-22222-2-2-22-22-22-2-22−2i2i-2-222002-2−2i2i−2i2i−2i−2i2i2i-2-2220000000000000000-220000000000002i−2i000000
χ412-2-2222-22-2-22-22-22-2-220022-2-200-220000000022-2-200002i−2i2i−2i00000000-22000000002i−2i2i−2i00000000
χ422-2-2222-22-2-22-22-22-2-220022-2-200-220000000022-2-20000−2i2i−2i2i00000000-2200000000−2i2i−2i2i00000000
χ432-2-2222-22-2-22-22-22-2-220022-2-200-2200000000-2-22200002i−2i−2i2i000000002-2000000002i−2i−2i2i00000000
χ442-2-2222-22-2-22-22-22-2-220022-2-200-2200000000-2-2220000−2i2i2i−2i000000002-200000000−2i2i2i−2i00000000
χ4544444-2-4-44-244-2-2-2-2-2-200-42-420022000000000000040-4000000000000000000020-2000000000000
χ4644444-2-4-44-244-2-2-2-2-2-200-42-4200220000000000000-4040000000000000000000-202000000000000
χ474444-24-4-4-24-2-244-2-2-2-2002-42-4002200000000000040-4000000000000000000020-20000000000000
χ484444-24-4-4-24-2-244-2-2-2-2002-42-40022000000000000-4040000000000000000000-2020000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-24411-2-2-2-21111000000000000-2-2-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-411-2-2-2-211110000000000002222-1-1-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4112222-1-1-1-1000000000000-2-22211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-44112222-1-1-1-100000000000022-2-2-1-1110000000000000000000000
χ5344-4-44400-4-4-44-4444-4-40000000000000000004-44-400000000000000000000000000000000000000
χ5444-4-44400-4-4-44-4444-4-4000000000000000000-44-4400000000000000000000000000000000000000
χ554-44-4440044-4-4-4-44-44-40000000000000000004-4-4400000000000000000000000000000000000000
χ564-44-4440044-4-4-4-44-44-4000000000000000000-444-400000000000000000000000000000000000000
χ574-4-444-24-4-424-4-22-222-24i−4i-424-200-224i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000
χ584-4-444-24-4-424-4-22-222-2−4i4i-424-200-22−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000
χ594-4-444-2-44-424-4-22-222-2004-2-42002-20000000000000000004i−4i00000000000000000000−2i2i00000000
χ604-4-444-2-44-424-4-22-222-2004-2-42002-2000000000000000000−4i4i000000000000000000002i−2i00000000
χ614-4-44-244-42-4-224-4-222-24i−4i2-4-2400-22−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000
χ624-4-44-244-42-4-224-4-222-2−4i4i2-4-2400-222i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000
χ634-4-44-24-442-4-224-4-222-200-242-4002-200000000000000004i−4i00000000000000000000−2i2i0000000000
χ644-4-44-24-442-4-224-4-222-200-242-4002-20000000000000000−4i4i000000000000000000002i−2i0000000000
χ654-4-44-2-24-422-22-221-1-114i−4i22-2-2001-1−2i2i−2i2iii−i−i00000000000000003i−3i3-30000000000000000000000
χ664-4-44-2-24-422-22-221-1-114i−4i22-2-2001-1−2i2i−2i2iii−i−i0000000000000000−3i3i-330000000000000000000000
χ674-4-44-2-24-422-22-221-1-11−4i4i22-2-2001-12i−2i2i−2i−i−iii00000000000000003i−3i-330000000000000000000000
χ684-4-44-2-24-422-22-221-1-11−4i4i22-2-2001-12i−2i2i−2i−i−iii0000000000000000−3i3i3-30000000000000000000000
χ698888-4-4-8-8-4-4-4-4-4-4222200444400-2-200000000000000000000000000000000000000000000000000
χ7088-8-88-400-84-884-4-4-444000000000000000000000000000000000000000000000000000000000000
χ7188-8-8-48004-84-4-88-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400444-44-422-2-20000000000000032−3232−32000000000000000000000000000000000000000000
χ7388-8-8-4-400444-44-422-2-200000000000000−3232−3232000000000000000000000000000000000000000000
χ748-88-88-4008-4-8-844-44-44000000000000000000000000000000000000000000000000000000000000
χ758-88-8-4800-4844-8-8-44-44000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-4-444442-22-2000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ778-88-8-4-400-4-444442-22-200000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ788-8-88-4-4-8844-44-442-2-2200-4-44400-2200000000000000000000000000000000000000000000000000

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