Finite Group Databasebeta

← Group #11872744

Character table — Group #11872744

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666622366612121212444426666668121224242424242424242224446688121212126666644668121212121224242424444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111-11-1-11-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1111111-111-11-1-1-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-111111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11-1-1-11111111111-1-11-1
χ911111111111111-1-11111111111111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111-1111-1-1-1-111-1-111-111-111-1-1
χ1011111111111111-1-11111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-11111-1-1-11-1-111-1-1-1-11-1-11-1-111
χ1111111111111111-1-1111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-111-1-1-111-1-1-111
χ1211111111111111-1-1111111111111-1-1-1-1-1-1-111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-1
χ1311111111111111-1-111111111-1-1-1-11-1-111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-111-1-1111-111-1-111111-1-11-1-1-11
χ1411111111111111-1-111111111-1-1-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-11111-1-111-1-1-111-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-111-111-1-1-1-11
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000002-200220022-2-20000000000-200000000-20020000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000-2200-2-20022-2-20000000000200000000200-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000002-2002200-2-2220000000000-200000000200-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000-2200-2-200-2-2220000000000200000000-20020000
χ2122222-122-12-1-12222-1-1-1-12-12-1000022222-1-12-1-122-1-1-1-1-1-1222200-1-1220000-1-1-1-1-120-1-10-1000000-1-1000000-10
χ2222222-122-12-1-12222-1-1-1-12-12-1000022222-1-12-1-122-1-1-1-1-1-1-2-2-2-20011-2-20000-1-1-1-1-1-2011010000001100000010
χ2322222-122-12-1-12222-1-1-1-12-12-10000-222-2-2-1-1-2-1-1-2-2111111222200-1-1-2-200001-1-111-20-1-10-10000001100000010
χ2422222-122-12-1-12222-1-1-1-12-12-10000-222-2-2-1-1-2-1-1-2-2111111-2-2-2-200112200001-1-111201101000000-1-1000000-10
χ2522222-122-12-1-122-2-2-1-1-1-12-12-100002-2-22211-2-1-1-2-211111122-2-20011220000-111-1-1-20-1-101000000-1-100000010
χ2622222-122-12-1-122-2-2-1-1-1-12-12-100002-2-22211-2-1-1-2-2111111-2-22200-1-1-2-20000-111-1-120110-100000011000000-10
χ2722222-122-12-1-122-2-2-1-1-1-12-12-10000-2-2-2-2-2112-1-122-1-1-1-1-1-122-2-20011-2-200001111120-1-10100000011000000-10
χ2822222-122-12-1-122-2-2-1-1-1-12-12-10000-2-2-2-2-2112-1-122-1-1-1-1-1-1-2-22200-1-122000011111-20110-1000000-1-100000010
χ292222-12222-122-1-122-1-1-1-1-12-1222222-1-1-1-1222-1-1-1-122-1-1-1-10000220000-1-1-1-12-1-1-1-1020020-1-1-1-1-1-10000000000
χ302222-12222-122-1-122-1-1-1-1-12-122222-2-1-11122-2-1-111-2-211110000220000-1-1-1-1-2-1-1110-200-20-1-111110000000000
χ312222-12222-122-1-122-1-1-1-1-12-12-2-2-2-22-1-1-1-1222-1-1-1-122-1-1-1-10000-2-2000011112-1-1-1-10-200-201111110000000000
χ322222-12222-122-1-122-1-1-1-1-12-12-2-2-2-2-2-1-11122-2-1-111-2-211110000-2-200001111-2-1-11102002011-1-1-1-10000000000
χ332222-12222-122-1-1-2-2-1-1-1-1-12-122222211-1-1-2-2-2-1-111-2-211110000-2-20000-1-1-1-1211-1-10200-2011-1-1110000000000
χ342222-12222-122-1-1-2-2-1-1-1-1-12-122222-21111-2-22-1-1-1-122-1-1-1-10000-2-20000-1-1-1-1-211110-200201111-1-10000000000
χ352222-12222-122-1-1-2-2-1-1-1-1-12-12-2-2-2-2211-1-1-2-2-2-1-111-2-2111100002200001111211-1-10-20020-1-111-1-10000000000
χ362222-12222-122-1-1-2-2-1-1-1-1-12-12-2-2-2-2-21111-2-22-1-1-1-122-1-1-1-100002200001111-211110200-20-1-1-1-1110000000000
χ3722-2-2222-2-222-2-2-2002-2-22-2-2222i−2i2i−2i000000002-2000000002-2000000002i−2i2i−2i00000002-2000000000002i−2i00000
χ3822-2-2222-2-222-2-2-2002-2-22-2-2222i−2i2i−2i000000002-200000000-22000000002i−2i2i−2i0000000-2200000000000−2i2i00000
χ3922-2-2222-2-222-2-2-2002-2-22-2-222−2i2i−2i2i000000002-2000000002-200000000−2i2i−2i2i00000002-200000000000−2i2i00000
χ4022-2-2222-2-222-2-2-2002-2-22-2-222−2i2i−2i2i000000002-200000000-2200000000−2i2i−2i2i0000000-22000000000002i−2i00000
χ4122-2-222-22-222-2-2-22-22-2-2222-2-22i−2i−2i2i02-2002-20-220000000000002i−2i00002i−2i−2i2i02-2000000002i−2i00000000000000
χ4222-2-222-22-222-2-2-22-22-2-2222-2-2−2i2i2i−2i02-2002-20-22000000000000−2i2i0000−2i2i2i−2i02-200000000−2i2i00000000000000
χ4322-2-222-22-222-2-2-2-222-2-2222-2-22i−2i−2i2i0-2200-220-22000000000000−2i2i00002i−2i−2i2i0-2200000000−2i2i00000000000000
χ4422-2-222-22-222-2-2-2-222-2-2222-2-2−2i2i2i−2i0-2200-220-220000000000002i−2i0000−2i2i2i−2i0-22000000002i−2i00000000000000
χ4522-2-2-12-22-2-12-2112-2-111-1-121-22i−2i−2i2i0-11−i3i32-201-1−i3i300−i3−i3i3i300002i−2i0000−iii−i0-11−i3i3000000−ii3−33−30000000000
χ4622-2-2-12-22-2-12-2112-2-111-1-121-22i−2i−2i2i0-11i3−i32-201-1i3−i300i3i3−i3−i300002i−2i0000−iii−i0-11i3−i3000000−ii−33−330000000000
χ4722-2-2-12-22-2-12-2112-2-111-1-121-2−2i2i2i−2i0-11−i3i32-201-1−i3i300−i3−i3i3i30000−2i2i0000i−i−ii0-11−i3i3000000i−i−33−330000000000
χ4822-2-2-12-22-2-12-2112-2-111-1-121-2−2i2i2i−2i0-11i3−i32-201-1i3−i300i3i3−i3−i30000−2i2i0000i−i−ii0-11i3−i3000000i−i3−33−30000000000
χ4922-2-2-12-22-2-12-211-22-111-1-121-22i−2i−2i2i01-1−i3i3-2201-1i3−i300i3i3−i3−i30000−2i2i0000−iii−i01-1−i3i3000000i−i3−3−330000000000
χ5022-2-2-12-22-2-12-211-22-111-1-121-22i−2i−2i2i01-1i3−i3-2201-1−i3i300−i3−i3i3i30000−2i2i0000−iii−i01-1i3−i3000000i−i−333−30000000000
χ5122-2-2-12-22-2-12-211-22-111-1-121-2−2i2i2i−2i01-1−i3i3-2201-1i3−i300i3i3−i3−i300002i−2i0000i−i−ii01-1−i3i3000000−ii−333−30000000000
χ5222-2-2-12-22-2-12-211-22-111-1-121-2−2i2i2i−2i01-1i3−i3-2201-1−i3i300−i3−i3i3i300002i−2i0000i−i−ii01-1i3−i3000000−ii3−3−330000000000
χ5344444-2-4-4-24-2-24400-2-2-2-2-42-420000000000002200000000004-400-2-2000000000000000020000000000000000
χ5444444-2-4-4-24-2-24400-2-2-2-2-42-42000000000000220000000000-4400220000000000000000-20000000000000000
χ554444-24-4-44-244-2-200-2-2-2-22-42-444-4-40000000022000000000000000000-2-222000000000000000000000000000
χ564444-24-4-44-244-2-200-2-2-2-22-42-4-4-444000000002200000000000000000022-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-2-2-2411-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-222-2-2-4112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000422-2-222-4112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222222411-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-424-22-4-400-222-2-424-2000000000000-22000000004-40000000000000000000-22000000000000000000
χ6244-4-44-24-424-22-4-400-222-2-424-2000000000000-2200000000-4400000000000000000002-2000000000000000000
χ6344-4-44-2-4424-22-4-44-4-222-24-2-42000004-400-2202-200000000000000000000000-22000000000000000000000000
χ6444-4-44-2-4424-22-4-4-44-222-24-2-4200000-44002-202-2000000000000000000000002-2000000000000000000000000
χ6544-4-4-244-4-4-24-42200-222-22-4-244i−4i4i−4i00000000-22000000000000000000−2i2i−2i2i000000000000000000000000000
χ6644-4-4-244-4-4-24-42200-222-22-4-24−4i4i−4i4i00000000-220000000000000000002i−2i2i−2i000000000000000000000000000
χ6744-4-4-2-2-442-2-22224-41-1-11-2-22200000-22−2i32i3-220-11−2i32i300i3i3−i3−i30000000000000001-1i3−i30000000000000000000000
χ6844-4-4-2-2-442-2-22224-41-1-11-2-22200000-222i3−2i3-220-112i3−2i300−i3−i3i3i30000000000000001-1−i3i30000000000000000000000
χ6944-4-4-2-2-442-2-2222-441-1-11-2-222000002-2−2i32i32-20-112i3−2i300−i3−i3i3i3000000000000000-11i3−i30000000000000000000000
χ7044-4-4-2-2-442-2-2222-441-1-11-2-222000002-22i3−2i32-20-11−2i32i300i3i3−i3−i3000000000000000-11−i3i30000000000000000000000
χ714-44-44400-4-4-444-40044-4-4000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ724-44-44400-4-4-444-40044-4-40000000000000000000000000000000000−2222000000000000000000000−222200000000
χ734-44-44-2002-42-24-400-2-22200000000000000000000i6−i6i6−i6i6−i6000000−2i32i322−22000000000000000000000−2200000000
χ744-44-44-2002-42-24-400-2-22200000000000000000000i6−i6i6−i6i6−i60000002i3−2i3−22220000000000000000000002−200000000
χ754-44-44-2002-42-24-400-2-22200000000000000000000−i6i6−i6i6−i6i6000000−2i32i3−22220000000000000000000002−200000000
χ764-44-44-2002-42-24-400-2-22200000000000000000000−i6i6−i6i6−i6i60000002i3−2i322−22000000000000000000000−2200000000
χ774-4-4444004-4-4-4-44004-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-4444004-4-4-4-44004-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-84-4-4444002-2-2244-4-40000000000002-20000000000000000000000000000000000000000000000000
χ818-88-8-4800-84-88-4400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-440022-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-400444-4-440022-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-400-4-844-8800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480084-8-84-400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-4002-22-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-400-44444-4002-22-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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