Finite Group Databasebeta

← Group #11871273

Character table — Group #11871273

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666622366612121212224444266666681212242424242424242422444661212121266666444466881212121212242424244441228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1111-1-1-1-1-1-1111-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-111111-1-11-1111-11-1-1-1-111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-111-1-1-1-1-1111-111-1-111-1-111-1-1-1-111
χ5111111111111111111111111-1-11111111111111111111111-1-1-111-1-1111111111-1-1-11-1-1-11-11111-1-111-1-1-1-1-1-1
χ6111111111111111111111111-1-11111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-11-1-1-11-1-111-1-111-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11111111111-1-1
χ911111111111111-1-1111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-1-1-11-1-111-1-1-1-11-1-111-1
χ1011111111111111-1-111111111111111-1-1-1-1-1-1-111111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1111-1-1-1-111111-1-1-1-11
χ1111111111111111-1-11111111111-1-1-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-111-1-11-1-1-1-11111-1-1-1-111-1111-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111111-1-1-111-11-1
χ1311111111111111-1-111111111-1-111111-1-111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-111-1-1-11111-1-1-1-11111-1-1-111-1-11
χ1411111111111111-1-111111111-1-11111-1-1-1-1-1-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-111-11111-1
χ1511111111111111-1-111111111-1-1-1-1-1-11-1-111-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-11111-111-1-111111-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-1-11-11
χ17222222-2-2222222002222-2-2-2-22222-2-200000000-2-20000000000-2002222-2-200000-2-2000000-200000000200000
χ18222222-2-2222222002222-2-2-2-222-2-22200000000-2-20000000000-20022-2-2220000022000000-200000000-200000
χ19222222-2-2222222002222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-222-2-20000022000000200000000-200000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-22200000000-2-20000000000200-2-2-2-22200000-2-2000000200000000200000
χ2122222-122-12-1-12222-1-1-1-12-12-122000022222-1-12-1-122-1-1-1-1-1-122200-1-10000-1-1-1-1-10020-1-120-10000-1-100000-100
χ2222222-122-12-1-12222-1-1-1-12-12-1220000-222-2-2-1-1-2-1-1-2-211111122200-1-100001-1-11100-20-1-1-20-100001100000100
χ2322222-122-12-1-12222-1-1-1-12-12-1-2-2000022222-1-12-1-122-1-1-1-1-1-1-2-2-200110000-1-1-1-1-100-2011-20100001100000100
χ2422222-122-12-1-12222-1-1-1-12-12-1-2-20000-222-2-2-1-1-2-1-1-2-2111111-2-2-2001100001-1-1110020112010000-1-100000-100
χ2522222-122-12-1-122-2-2-1-1-1-12-12-12200002-2-22211-2-1-1-2-2111111-2-2200-1-10000-111-1-1002011-20-100001100000-100
χ2622222-122-12-1-122-2-2-1-1-1-12-12-1220000-2-2-2-2-2112-1-122-1-1-1-1-1-1-2-2200-1-100001111100-201120-10000-1-100000100
χ2722222-122-12-1-122-2-2-1-1-1-12-12-1-2-200002-2-22211-2-1-1-2-211111122-200110000-111-1-100-20-1-12010000-1-100000100
χ2822222-122-12-1-122-2-2-1-1-1-12-12-1-2-20000-2-2-2-2-2112-1-122-1-1-1-1-1-122-200110000111110020-1-1-20100001100000-100
χ292222-12222-122-1-122-1-1-1-1-12-120022222-1-1-1-1222-1-1-1-122-1-1-1-10002200-1-1-1-12-1-1-1-1000200020-1-1-1-100-1-1000000
χ302222-12222-122-1-122-1-1-1-1-12-12002222-2-1-11122-2-1-111-2-211110002200-1-1-1-1-2-1-111000-2000-20-1-1110011000000
χ312222-12222-122-1-122-1-1-1-1-12-1200-2-2-2-22-1-1-1-1222-1-1-1-122-1-1-1-1000-2-20011112-1-1-1-1000-2000-2011110011000000
χ322222-12222-122-1-122-1-1-1-1-12-1200-2-2-2-2-2-1-11122-2-1-111-2-21111000-2-2001111-2-1-11100020002011-1-100-1-1000000
χ332222-12222-122-1-1-2-2-1-1-1-1-12-12002222211-1-1-2-2-2-1-111-2-21111000-2-200-1-1-1-1211-1-10002000-2011-1-10011000000
χ342222-12222-122-1-1-2-2-1-1-1-1-12-12002222-21111-2-22-1-1-1-122-1-1-1-1000-2-200-1-1-1-1-21111000-200020111100-1-1000000
χ352222-12222-122-1-1-2-2-1-1-1-1-12-1200-2-2-2-2211-1-1-2-2-2-1-111-2-2111100022001111211-1-1000-200020-1-11100-1-1000000
χ362222-12222-122-1-1-2-2-1-1-1-1-12-1200-2-2-2-2-21111-2-22-1-1-1-122-1-1-1-100022001111-211110002000-20-1-1-1-10011000000
χ3722-2-2222-2-222-2-2-2002-2-22-2-222002i−2i2i−2i000000002-2000000002-2000002i−2i2i−2i0000000002-20000000000002i−2i000
χ3822-2-2222-2-222-2-2-2002-2-22-2-222002i−2i2i−2i000000002-200000000-22000002i−2i2i−2i000000000-22000000000000−2i2i000
χ3922-2-2222-2-222-2-2-2002-2-22-2-22200−2i2i−2i2i000000002-2000000002-200000−2i2i−2i2i0000000002-2000000000000−2i2i000
χ4022-2-2222-2-222-2-2-2002-2-22-2-22200−2i2i−2i2i000000002-200000000-2200000−2i2i−2i2i000000000-220000000000002i−2i000
χ4122-2-222-22-222-2-2-22-22-2-2222-2-2002i−2i−2i2i02-2002-20-22000000000002i−2i002i−2i−2i2i02-2000000000002i−2i000000000000
χ4222-2-222-22-222-2-2-22-22-2-2222-2-200−2i2i2i−2i02-2002-20-2200000000000−2i2i00−2i2i2i−2i02-200000000000−2i2i000000000000
χ4322-2-222-22-222-2-2-2-222-2-2222-2-2002i−2i−2i2i0-2200-220-2200000000000−2i2i002i−2i−2i2i0-2200000000000−2i2i000000000000
χ4422-2-222-22-222-2-2-2-222-2-2222-2-200−2i2i2i−2i0-2200-220-22000000000002i−2i00−2i2i2i−2i0-22000000000002i−2i000000000000
χ4522-2-2-12-22-2-12-2112-2-111-1-121-2002i−2i−2i2i0-11−i3i32-201-1−i3i300−i3−i3i3i30002i−2i00−iii−i0-11−i3i3000000000−ii3−3003−3000000
χ4622-2-2-12-22-2-12-2112-2-111-1-121-2002i−2i−2i2i0-11i3−i32-201-1i3−i300i3i3−i3−i30002i−2i00−iii−i0-11i3−i3000000000−ii−3300−33000000
χ4722-2-2-12-22-2-12-2112-2-111-1-121-200−2i2i2i−2i0-11−i3i32-201-1−i3i300−i3−i3i3i3000−2i2i00i−i−ii0-11−i3i3000000000i−i−3300−33000000
χ4822-2-2-12-22-2-12-2112-2-111-1-121-200−2i2i2i−2i0-11i3−i32-201-1i3−i300i3i3−i3−i3000−2i2i00i−i−ii0-11i3−i3000000000i−i3−3003−3000000
χ4922-2-2-12-22-2-12-211-22-111-1-121-2002i−2i−2i2i01-1−i3i3-2201-1i3−i300i3i3−i3−i3000−2i2i00−iii−i01-1−i3i3000000000i−i3−300−33000000
χ5022-2-2-12-22-2-12-211-22-111-1-121-2002i−2i−2i2i01-1i3−i3-2201-1−i3i300−i3−i3i3i3000−2i2i00−iii−i01-1i3−i3000000000i−i−33003−3000000
χ5122-2-2-12-22-2-12-211-22-111-1-121-200−2i2i2i−2i01-1−i3i3-2201-1i3−i300i3i3−i3−i30002i−2i00i−i−ii01-1−i3i3000000000−ii−33003−3000000
χ5222-2-2-12-22-2-12-211-22-111-1-121-200−2i2i2i−2i01-1i3−i3-2201-1−i3i300−i3−i3i3i30002i−2i00i−i−ii01-1i3−i3000000000−ii3−300−33000000
χ5344444-2-4-4-24-2-24400-2-2-2-2-42-4244000000000000220000000000-400-2-200000000000000000200000000000000
χ5444444-2-4-4-24-2-24400-2-2-2-2-42-42-4-40000000000002200000000004002200000000000000000-200000000000000
χ554444-24-4-44-244-2-200-2-2-2-22-42-40044-4-40000000022000000000000000-2-2220000000000000000000000000000
χ564444-24-4-44-244-2-200-2-2-2-22-42-400-4-444000000002200000000000000022-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-20000004-2-2-2-2-2-2411-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-2000000-4-2-222-2-2-4112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000422-2-222-4112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000000-4222222411-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44-24-424-22-4-400-222-2-424-200000000000000-22000000004-4000000000000000000-2200000000000000000
χ6244-4-44-24-424-22-4-400-222-2-424-200000000000000-2200000000-440000000000000000002-200000000000000000
χ6344-4-44-2-4424-22-4-44-4-222-24-2-4200000004-400-2202-200000000000000000000-220000000000000000000000000
χ6444-4-44-2-4424-22-4-4-44-222-24-2-420000000-44002-202-2000000000000000000002-20000000000000000000000000
χ6544-4-4-244-4-4-24-42200-222-22-4-24004i−4i4i−4i00000000-22000000000000000−2i2i−2i2i0000000000000000000000000000
χ6644-4-4-244-4-4-24-42200-222-22-4-2400−4i4i−4i4i00000000-220000000000000002i−2i2i−2i0000000000000000000000000000
χ6744-4-4-2-2-442-2-22224-41-1-11-2-2220000000-22−2i32i3-220-11−2i32i300i3i3−i3−i30000000000001-1i3−i300000000000000000000000
χ6844-4-4-2-2-442-2-22224-41-1-11-2-2220000000-222i3−2i3-220-112i3−2i300−i3−i3i3i30000000000001-1−i3i300000000000000000000000
χ6944-4-4-2-2-442-2-2222-441-1-11-2-22200000002-2−2i32i32-20-112i3−2i300−i3−i3i3i3000000000000-11i3−i300000000000000000000000
χ7044-4-4-2-2-442-2-2222-441-1-11-2-22200000002-22i3−2i32-20-11−2i32i300i3i3−i3−i3000000000000-11−i3i300000000000000000000000
χ714-44-44400-4-4-444-40044-4-400004-40000000000000000000000000004-400000000000000000000000000000000
χ724-44-44400-4-4-444-40044-4-40000-44000000000000000000000000000-4400000000000000000000000000000000
χ734-44-44-2002-42-24-400-2-22200004-40000000000000000i6−i6i6−i6i6−i600000-220000000000000000000000i6−i600000000
χ744-44-44-2002-42-24-400-2-22200004-40000000000000000−i6i6−i6i6−i6i600000-220000000000000000000000−i6i600000000
χ754-44-44-2002-42-24-400-2-2220000-440000000000000000i6−i6i6−i6i6−i6000002-20000000000000000000000−i6i600000000
χ764-44-44-2002-42-24-400-2-2220000-440000000000000000−i6i6−i6i6−i6i6000002-20000000000000000000000i6−i600000000
χ774-4-4444004-4-4-4-44004-44-4000000000000000000000000000000000000000000004-4000000000000000000000
χ784-4-4444004-4-4-4-44004-44-400000000000000000000000000000000000000000000-44000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-4002222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-48-84-4-4444002-2-2244-4-4000000000000002-200000000000000000000000000000000000000000000000
χ818-88-8-4800-84-88-4400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-440022-2-200000000000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ838-88-8-4-400444-4-440022-2-20000000000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ848-8-888-400-4-844-8800-44-440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480084-8-84-400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-4002-22-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ878-8-88-4-400-44444-4002-22-2000000000000000000000000−323232−32000000000000000000000000000000000000000

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