Finite Group Databasebeta

← Group #11870679

Character table — Group #11870679

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212444421212121212122424242424242424444422244488881212121266661212444466612121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-111-11-1-111-1-1-1-111111111-1-1-11-1111-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-11-111-1-11111-1-1111111-1-11-11-1-1-11111-1-1-1-1-1-1-11-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-111-1-1-1-111-1-11-1-1111-1-111-1-1-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-111-1-1-111-1-1-111-1-111-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-11-1-1-111111-1-111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-1-11-1111-1-1-1-1-1111111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000222200-2-20000002222000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2002-2000000-2-2220000002200200-20000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-200-2200000022-2-20000002200-20020000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022220022000000-2-2-2-2000000-2-20020020000000000000
χ2122222-122-12-12-12-122-1-1-122-122-122002-1-122-1-122-1-1-1-1-1-10000220200220000-1-12-1-1-1-1-100020-1-1-10000-1-10000-100
χ2222222-122-12-12-12-122-1-1-122-122-1-2-2002-1-122-1-122-1-1-1-1-1-10000-2-20-200-2-20000112-1-1-1-1-1000-201110000110000100
χ2322222-122-12-12-12-122-1-1-1-2-2-122-12200-2-1-122-1-1-2-21111110000220200-2-20000-1-1-2111-1-1000-20-1-1-10000110000100
χ2422222-122-12-12-12-122-1-1-1-2-2-122-1-2-200-2-1-122-1-1-2-21111110000-2-20-20022000011-2111-1-1000201110000-1-10000-100
χ2522222-122-12-12-12-1-2-2-1-1-122-122-12200-211-2-2-1-122-1-1-1-1-1-10000-2-20200220000-1-1-211111000-2011-10000-1-10000100
χ2622222-122-12-12-12-1-2-2-1-1-122-122-1-2-200-211-2-2-1-122-1-1-1-1-1-10000220-200-2-2000011-21111100020-1-110000110000-100
χ2722222-122-12-12-12-1-2-2-1-1-1-2-2-122-12200211-2-2-1-1-2-21111110000-2-20200-2-20000-1-12-1-1-1110002011-10000110000-100
χ2822222-122-12-12-12-1-2-2-1-1-1-2-2-122-1-2-200211-2-2-1-1-2-21111110000220-200220000112-1-1-111000-20-1-110000-1-10000100
χ292222-12222-12-12-1-122-1-1-1222-1-120022222-1-1-1-1-1-122-1-1-1-100000020220022-1-100-12-1-1-1-10020-1000-1-1-1-10000000-10
χ302222-12222-12-12-1-122-1-1-1222-1-1200-2-2222-1-1-1-1-1-122-1-1-1-1000000-20-2-200-2-21100-12-1-1-1-100-2010001111000000010
χ312222-12222-12-12-1-122-1-1-1-2-22-1-120022-222-1-1-1-111-2-21111000000202200-2-2-1-1001-211-1-100-20-1000-1-111000000010
χ322222-12222-12-12-1-122-1-1-1-2-22-1-1200-2-2-222-1-1-1-111-2-21111000000-20-2-2002211001-211-1-10020100011-1-10000000-10
χ332222-12222-12-12-1-1-2-2-1-1-1222-1-120022-2-2-211-1-1-1-122-1-1-1-100000020-2-20022-1-1001-2111100-20-100011-1-1000000010
χ342222-12222-12-12-1-1-2-2-1-1-1222-1-1200-2-2-2-2-211-1-1-1-122-1-1-1-1000000-202200-2-211001-2111100201000-1-1110000000-10
χ352222-12222-12-12-1-1-2-2-1-1-1-2-22-1-1200222-2-211-1-111-2-2111100000020-2-200-2-2-1-100-12-1-1110020-100011110000000-10
χ362222-12222-12-12-1-1-2-2-1-1-1-2-22-1-1200-2-22-2-211-1-111-2-21111000000-202200221100-12-1-11100-201000-1-1-1-1000000010
χ372-22-2222-2-22-2-22-2200-22-200-22-22000000000-22000000002i2i−2i−2i2-2002i−2i000000000000002i−2i0002-202i−2i00000000000
χ382-22-2222-2-22-2-22-2200-22-200-22-22000000000-22000000002i2i−2i−2i-2200−2i2i000000000000002i−2i000-220−2i2i00000000000
χ392-22-2222-2-22-2-22-2200-22-200-22-22000000000-2200000000−2i−2i2i2i2-200−2i2i00000000000000−2i2i0002-20−2i2i00000000000
χ402-22-2222-2-22-2-22-2200-22-200-22-22000000000-2200000000−2i−2i2i2i-22002i−2i00000000000000−2i2i000-2202i−2i00000000000
χ412-22-222-22-22-2-22-222i−2i-22-2002-22-2000002i−2i2i−2i2-2000000002i2i−2i−2i0000000000000000002i−2i−2i2i0000000000002-200000
χ422-22-222-22-22-2-22-222i−2i-22-2002-22-2000002i−2i2i−2i2-200000000−2i−2i2i2i0000000000000000002i−2i2i−2i000000000000-2200000
χ432-22-222-22-22-2-22-22−2i2i-22-2002-22-200000−2i2i−2i2i2-2000000002i2i−2i−2i000000000000000000−2i2i−2i2i000000000000-2200000
χ442-22-222-22-22-2-22-22−2i2i-22-2002-22-200000−2i2i−2i2i2-200000000−2i−2i2i2i000000000000000000−2i2i2i−2i0000000000002-200000
χ452-2-2222002-2-22-2-22002-2-2i2−i200002i−2i2i−2i0000000i2−i2i2−i2i2i2−i2−i22-22-20000002−22−22i−2i2i−2i00000000000000002−22−200i2−i2000
χ462-2-2222002-2-22-2-22002-2-2i2−i200002i−2i−2i2i0000000i2−i2i2−i2i2i2−i2−i2-22-220000002−2−22−2i2i2i−2i0000000000000000−222−200−i2i2000
χ472-2-2222002-2-22-2-22002-2-2i2−i20000−2i2i2i−2i0000000i2−i2i2−i2i2i2−i2−i2-22-22000000−222−22i−2i−2i2i00000000000000002−2−2200−i2i2000
χ482-2-2222002-2-22-2-22002-2-2i2−i20000−2i2i−2i2i0000000i2−i2i2−i2i2i2−i2−i22-22-2000000−22−22−2i2i−2i2i0000000000000000−22−2200i2−i2000
χ492-2-2222002-2-22-2-22002-2-2−i2i200002i−2i2i−2i0000000−i2i2−i2i2−i2−i2i2i22-22-2000000−22−222i−2i2i−2i0000000000000000−22−2200−i2i2000
χ502-2-2222002-2-22-2-22002-2-2−i2i200002i−2i−2i2i0000000−i2i2−i2i2−i2−i2i2i2-22-22000000−222−2−2i2i2i−2i00000000000000002−2−2200i2−i2000
χ512-2-2222002-2-22-2-22002-2-2−i2i20000−2i2i2i−2i0000000−i2i2−i2i2−i2−i2i2i2-22-220000002−2−222i−2i−2i2i0000000000000000−222−200i2−i2000
χ522-2-2222002-2-22-2-22002-2-2−i2i20000−2i2i−2i2i0000000−i2i2−i2i2−i2−i2i2i22-22-20000002−22−2−2i2i−2i2i00000000000000002−22−200−i2i2000
χ5344444-2-4-4-24-24-24-200-2-2-2002-4-4244000000022000000000000000-400000000-2-2000000000000020000000000000
χ5444444-2-4-4-24-24-24-200-2-2-2002-4-42-4-4000000022000000000000000400000000220000000000000-20000000000000
χ554444-24-4-44-24-24-2-200-2-2-200-422-40044000002200000000000000-40000000-2-200000000000020000000000000000
χ564444-24-4-44-24-24-2-200-2-2-200-422-400-4-40000022000000000000004000000022000000000000-20000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000000000000022-1-111000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-211-1-1000000000000000000000
χ6144-4-44400-4-44-4-44400-4-4400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ6244-4-44400-4-44-4-44400-4-440000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ634-44-44-24-4242-4-2-4-2002-220024-4-20000000002-20000000000004-400000000000000000000000-2200000000000000
χ644-44-44-24-4242-4-2-4-2002-220024-4-20000000002-2000000000000-44000000000000000000000002-200000000000000
χ654-44-44-2-44242-4-2-4-24i−4i2-2200-2-44200000−2i2i4i−4i-22000000000000000000000000000000−2i2i000000000000000000000
χ664-44-44-2-44242-4-2-4-2−4i4i2-2200-2-442000002i−2i−4i4i-220000000000000000000000000000002i−2i000000000000000000000
χ674-44-4-244-4-4-2-4242-2002-2200-4-2240000000002-200000000000000004i−4i0000000000000000000000−2i2i00000000000
χ684-44-4-244-4-4-2-4242-2002-2200-4-2240000000002-20000000000000000−4i4i00000000000000000000002i−2i00000000000
χ694-44-4-24-44-4-2-4242-24i−4i2-220042-2-4000004i−4i−2i2i-22000000000000000000000000000000−2i2i000000000000000000000
χ704-44-4-24-44-4-2-4242-2−4i4i2-220042-2-400000−4i4i2i−2i-220000000000000000000000000000002i−2i000000000000000000000
χ714-44-4-2-2-442-222-2214i−4i-11-100-22-2200000−2i2i−2i2i1-100003i−3i3i−3i000000000000000000003-3i−i000000000000000000000
χ724-44-4-2-2-442-222-2214i−4i-11-100-22-2200000−2i2i−2i2i1-10000−3i3i−3i3i00000000000000000000-33i−i000000000000000000000
χ734-44-4-2-2-442-222-221−4i4i-11-100-22-22000002i−2i2i−2i1-100003i−3i3i−3i00000000000000000000-33−ii000000000000000000000
χ744-44-4-2-2-442-222-221−4i4i-11-100-22-22000002i−2i2i−2i1-10000−3i3i−3i3i000000000000000000003-3−ii000000000000000000000
χ754-4-444-200-2-4242-4-200-2222i2−2i200004i−4i0000000002i2−2i2−i2i2−i2−i2i2i2000000000022−220000−2i2i000000000000000000−220000000
χ764-4-444-200-2-4242-4-200-2222i2−2i20000−4i4i0000000002i2−2i2−i2i2−i2−i2i2i20000000000−222200002i−2i0000000000000000002−20000000
χ774-4-444-200-2-4242-4-200-222−2i22i200004i−4i000000000−2i22i2i2−i2i2i2−i2−i20000000000−22220000−2i2i0000000000000000002−20000000
χ784-4-444-200-2-4242-4-200-222−2i22i20000−4i4i000000000−2i22i2i2−i2i2i2−i2−i2000000000022−2200002i−2i000000000000000000−220000000
χ794-4-44-240042-4-2-42-200-2222i2−2i20000004i−4i0000000−i2i22i2−2i2−i2−i2i2i200000000000022−22−2i2i000000000000000000−22000000000
χ804-4-44-240042-4-2-42-200-2222i2−2i2000000−4i4i0000000−i2i22i2−2i2−i2−i2i2i2000000000000−22222i−2i0000000000000000002−2000000000
χ814-4-44-240042-4-2-42-200-222−2i22i20000004i−4i0000000i2−i2−2i22i2i2i2−i2−i2000000000000−2222−2i2i0000000000000000002−2000000000
χ824-4-44-240042-4-2-42-200-222−2i22i2000000−4i4i0000000i2−i2−2i22i2i2i2−i2−i200000000000022−222i−2i000000000000000000−22000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-88-4004-8-4-848-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4800-8484-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-40044-444-4200-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ8788-8-8-4-40044-444-4200-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ888-88-8-4-48-84-444-44200-22-2004-44-4000000000-2200000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-444-4442002-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000000
χ908-8-88-4-400-444-4442002-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000000

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