Finite Group Databasebeta

← Group #11864629

Character table — Group #11864629

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666662236661212121222442666666812122424242424242424222224666688121266666446666812121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111-1111-1-11-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-111-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-11111-1-1111111-1-1-111-11-1-111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-11-1-1111111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11-11111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-111-11-1-111-1-11111-1-1-111-111-1-1
χ1011111111111111-1-11111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-11111-1-1-1-1-1111-1-1-1-11-1-11-1-111
χ1111111111111111-1-1111111111111-1-1-1-1-1-1-111111111111-1-111-1-111-1-1-1-111-1-1-1-1-11-1-1-1111-1-1-1-1-111-111-1-1-111
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1111-1-1
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-111-1-111111-1-1-111111-1-11-1-1-11
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-1111-111-1-111-1-1-1-111-111-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-11111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-111111-1-1-111-1-1-1-11
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000002-2222200-2-2000000000000-2000000-20020000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-2000000000000-2222-2-200-2-20000000000002000000200-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000002-2-2-2220022000000000000-2000000200-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-2000000000000-22-2-2-2-200220000000000002000000-20020000
χ2122222-12222-1-1-1222-1-1-1-12-1-120000222-1-1222-1-1-1-122-1-1-1-100222200-1-12200-1-1-1-1-12000-1-10-100-1-100000000-10
χ2222222-12222-1-1-1222-1-1-1-12-1-120000222-1-1222-1-1-1-122-1-1-1-100-2-2-2-20011-2-200-1-1-1-1-1-2000110100110000000010
χ2322222-12222-1-1-1222-1-1-1-12-1-120000-222-1-1-2-2-2-1-111-2-2111100222200-1-1-2-2001-1-111-2000-1-10-100110000000010
χ2422222-12222-1-1-1222-1-1-1-12-1-120000-222-1-1-2-2-2-1-111-2-2111100-2-2-2-2001122001-1-1112000110100-1-100000000-10
χ2522222-12222-1-1-12-2-2-1-1-1-12-1-1200002-2-21122-2-1-111-2-211110022-2-200112200-111-1-1-2000-1-10100-1-10000000010
χ2622222-12222-1-1-12-2-2-1-1-1-12-1-1200002-2-21122-2-1-111-2-2111100-2-22200-1-1-2-200-111-1-12000110-1001100000000-10
χ2722222-12222-1-1-12-2-2-1-1-1-12-1-120000-2-2-211-2-22-1-1-1-122-1-1-1-10022-2-20011-2-200111112000-1-101001100000000-10
χ2822222-12222-1-1-12-2-2-1-1-1-12-1-120000-2-2-211-2-22-1-1-1-122-1-1-1-100-2-22200-1-1220011111-2000110-100-1-10000000010
χ292222-1222-1-1222-122-1-1-1-1-122-122222-1-122-1-12-1-122-1-1-1-1-1-1220000-1-10000-1-12-1-1-1-102-1-10020-1-100-1-100000000
χ302222-1222-1-1222-122-1-1-1-1-122-12222-2-1-12211-2-1-1-2-2111111220000-1-10000-1-1-2-1-1110-2-1-100-2011001100000000
χ312222-1222-1-1222-122-1-1-1-1-122-1-2-2-2-22-1-122-1-12-1-122-1-1-1-1-1-1-2-20000110000112-1-1-1-10-21100-2011001100000000
χ322222-1222-1-1222-122-1-1-1-1-122-1-2-2-2-2-2-1-12211-2-1-1-2-2111111-2-2000011000011-2-1-11102110020-1-100-1-100000000
χ332222-1222-1-1222-1-2-2-1-1-1-1-122-12222211-2-2-1-1-2-1-1-2-2111111-2-20000-1-10000-1-1211-1-1021100-20-1-1001100000000
χ342222-1222-1-1222-1-2-2-1-1-1-1-122-12222-211-2-2112-1-122-1-1-1-1-1-1-2-20000-1-10000-1-1-211110-21100201100-1-100000000
χ352222-1222-1-1222-1-2-2-1-1-1-1-122-1-2-2-2-2211-2-2-1-1-2-1-1-2-211111122000011000011211-1-10-2-1-100201100-1-100000000
χ362222-1222-1-1222-1-2-2-1-1-1-1-122-1-2-2-2-2-211-2-2112-1-122-1-1-1-1-1-122000011000011-2111102-1-100-20-1-1001100000000
χ372-2-22222-2-2-2-22-222-22-2-22-22-222-22-202-22-2000-22000000002-200002-200002-202-200002-2000000000000000000
χ382-2-22222-2-2-2-22-222-22-2-22-22-22-22-2202-22-2000-2200000000-220000-220000-2202-20000-22000000000000000000
χ392-2-22222-2-2-2-22-22-222-2-22-22-222-22-20-22-22000-2200000000-2200002-200002-20-220000-22000000000000000000
χ402-2-22222-2-2-2-22-22-222-2-22-22-22-22-220-22-22000-22000000002-20000-220000-220-2200002-2000000000000000000
χ412-2-2222-22-2-2-22-22002-2-222-22-22-2-22000000002-200000000002-2002-20000-220000000002-20000000002-200000
χ422-2-2222-22-2-2-22-22002-2-222-22-22-2-22000000002-20000000000-22002-20000-22000000000-22000000000-2200000
χ432-2-2222-22-2-2-22-22002-2-222-22-2-222-2000000002-200000000002-200-2200002-20000000002-2000000000-2200000
χ442-2-2222-22-2-2-22-22002-2-222-22-2-222-2000000002-20000000000-2200-2200002-2000000000-220000000002-200000
χ452-2-22-122-211-22-2-12-2-111-112-2-12-22-20-112-2−i3i301-100−i3i3−i3−i3i3i32-20000-110000-110-11−i3i300-110000−i3i300−i3i300000000
χ462-2-22-122-211-22-2-12-2-111-112-2-12-22-20-112-2i3−i301-100i3−i3i3i3−i3−i32-20000-110000-110-11i3−i300-110000i3−i300i3−i300000000
χ472-2-22-122-211-22-2-12-2-111-112-2-1-22-220-112-2−i3i301-100−i3i3−i3−i3i3i3-2200001-100001-10-11−i3i3001-10000i3−i300i3−i300000000
χ482-2-22-122-211-22-2-12-2-111-112-2-1-22-220-112-2i3−i301-100i3−i3i3i3−i3−i3-2200001-100001-10-11i3−i3001-10000−i3i300−i3i300000000
χ492-2-22-122-211-22-2-1-22-111-112-2-12-22-201-1-22−i3i301-100i3−i3i3i3−i3−i3-220000-110000-1101-1−i3i3001-10000−i3i300i3−i300000000
χ502-2-22-122-211-22-2-1-22-111-112-2-12-22-201-1-22i3−i301-100−i3i3−i3−i3i3i3-220000-110000-1101-1i3−i3001-10000i3−i300−i3i300000000
χ512-2-22-122-211-22-2-1-22-111-112-2-1-22-2201-1-22−i3i301-100i3−i3i3i3−i3−i32-200001-100001-101-1−i3i300-110000i3−i300−i3i300000000
χ522-2-22-122-211-22-2-1-22-111-112-2-1-22-2201-1-22i3−i301-100−i3i3−i3−i3i3i32-200001-100001-101-1i3−i300-110000−i3i300i3−i300000000
χ5344444-2-4-444-2-2-2400-2-2-2-2-422-4000000000000220000000000004-400-2-20000000000000000200000000000000
χ5444444-2-4-444-2-2-2400-2-2-2-2-422-400000000000022000000000000-4400220000000000000000-200000000000000
χ554444-24-4-4-2-2444-200-2-2-2-22-4-4244-4-4000000002200000000000000-2-2000022000000000000000000000000000
χ564444-24-4-4-2-2444-200-2-2-2-22-4-42-4-444000000002200000000000000220000-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-2-2-2411-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-222-4112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-2-2-4112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222222411-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-444004-44-4-4-40044-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6244-4-444004-44-4-4-40044-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ634-44-44400-44-4-44-4004-44-400000000000000000000000000000000000022−220000000000000000022−220000000000
χ644-44-44400-44-4-44-4004-44-4000000000000000000000000000000000000−222200000000000000000−22220000000000
χ654-44-44-200-4422-2-400-22-22000000000000000000i6−i600i6−i6i6−i600000000−2i32i322−2200000000000000000−220000000000
χ664-44-44-200-4422-2-400-22-22000000000000000000i6−i600i6−i6i6−i6000000002i3−2i3−2222000000000000000002−20000000000
χ674-44-44-200-4422-2-400-22-22000000000000000000−i6i600−i6i6−i6i600000000−2i32i3−2222000000000000000002−20000000000
χ684-44-44-200-4422-2-400-22-22000000000000000000−i6i600−i6i6−i6i6000000002i3−2i322−2200000000000000000−220000000000
χ694-4-444-24-4-4-42-2244-4-222-2-4-224000004-4-220002-200000000000000000000000-22000000000000000000000000
χ704-4-444-24-4-4-42-224-44-222-2-4-22400000-442-20002-2000000000000000000000002-2000000000000000000000000
χ714-4-444-2-44-4-42-22400-222-242-2-4000000000000-2200000000004-40000000000000000000-220000000000000000
χ724-4-444-2-44-4-42-22400-222-242-2-4000000000000-220000000000-4400000000000000000002-20000000000000000
χ734-4-44-24-4422-44-4-200-222-2-2-4424-4-4400000000-2200000000000000-2200002-2000000000000000000000000000
χ744-4-44-24-4422-44-4-200-222-2-2-442-444-400000000-22000000000000002-20000-22000000000000000000000000000
χ754-4-44-2-24-4222-22-24-41-1-112-22-200000-22-22−2i32i30-1100−2i32i3i3i3−i3−i30000000000000001-1i3−i30000000000000000000000
χ764-4-44-2-24-4222-22-24-41-1-112-22-200000-22-222i3−2i30-11002i3−2i3−i3−i3i3i30000000000000001-1−i3i30000000000000000000000
χ774-4-44-2-24-4222-22-2-441-1-112-22-2000002-22-2−2i32i30-11002i3−2i3−i3−i3i3i3000000000000000-11i3−i30000000000000000000000
χ784-4-44-2-24-4222-22-2-441-1-112-22-2000002-22-22i3−2i30-1100−2i32i3i3i3−i3−i3000000000000000-11−i3i30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-4008-8-444-800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800-448-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44440022-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-400-44-44440022-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-8-48004-4-8-88400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-444-44002-22-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-4004-444-44002-22-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-4002-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000

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