Finite Group Databasebeta

← Group #11895757

Character table — Group #11895757

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666622366612121212266666681212242424242424242444444488881212121212126666644244121212121212122424242446248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1111-111-1-11111-1-111111-1-1-11-1-11111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-11-1-1-11-1-111-1-1-1-11111111-1-11-111-1-1-1-111-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111-111-1-111-111111-1-111-1-1-1-11-1-11-1
χ6111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-111-11
χ7111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-111-111-1-1-1-1-1-111-1-1111111-1-1-1-11-11
χ8111111111111111111111111-111-1-111-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-1111111-11-1
χ911111111111111-1-1111111111-1-111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-111111-1-11-1-111-1-1-1-1-1-1111-1-1
χ1011111111111111-1-1111111111-1-111-1-1-111-1-1-1-1-1-1-1-11-1111-1-1-1111111-1-11-1-111-1-1-1-11-1-1-11111-1-111-1-1-111
χ1111111111111111-1-1111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1111-1-111-1-111-1111-1-1-1-111-1-1-11-111
χ1211111111111111-1-1111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111-111-111-1-11111111-11-1-1
χ1311111111111111-1-111111111-1-1-1-1-1-1-111111111111111-1-111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-11
χ1411111111111111-1-111111111-1-1-1-1-1-1-1111111111111-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1111-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-111111111111-11-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-111-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-1-1-111-1-11
χ17222222-2-2222222002222-2-2-2-200000000-2-20000000022-200-2000022-2-2220000022000-20000000000-20000
χ18222222-2-2222222002222-2-2-2-200000000-2-2000000002-2-2002000022-2-2-2-200000-2-20002000000000020000
χ19222222-2-2222222002222-2-2-2-200000000-2-200000000-22200-20000-2-2222200000-2-2000-2000000000020000
χ20222222-2-2222222002222-2-2-2-200000000-2-200000000-2-220020000-2-222-2-2000002200020000000000-20000
χ2122222-1222-1-122-122-1-1-1-1-122-122222-1-12-1-122-1-1-1-1-1-102000200220000-1-1-1-1-1-1-100202-10000-1-100-1-10-1000
χ2222222-1222-1-122-122-1-1-1-1-122-122222-1-12-1-122-1-1-1-1-1-10-2000-200-2-2000011-1-1-1-1-100-20-21000011001101000
χ2322222-1222-1-122-122-1-1-1-1-122-1-222-2-2-1-1-2-1-1-2-211111102000200-2-20000-1-11-1-11100-202-10000-1-1001101000
χ2422222-1222-1-122-122-1-1-1-1-122-1-222-2-2-1-1-2-1-1-2-21111110-2000-200220000111-1-1110020-2100001100-1-10-1000
χ2522222-1222-1-122-1-2-2-1-1-1-1-122-12-2-22211-2-1-1-2-211111102000200-2-20000-1-1-111-1-10020-2-100001100110-1000
χ2622222-1222-1-122-1-2-2-1-1-1-1-122-12-2-22211-2-1-1-2-21111110-2000-20022000011-111-1-100-20210000-1-100-1-101000
χ2722222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-2-2112-1-122-1-1-1-1-1-102000200220000-1-11111100-20-2-100001100-1-101000
χ2822222-1222-1-122-1-2-2-1-1-1-1-122-1-2-2-2-2-2112-1-122-1-1-1-1-1-10-2000-200-2-2000011111110020210000-1-100110-1000
χ292222-1222-122-1-1222-1-1-1-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-12022202200-1-1-1-1002-1-1-1-1000200-1-1-1-100-1-10000000
χ302222-1222-122-1-1222-1-1-1-12-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-20-2-2-20-2-2001111002-1-1-1-1000-200111100110000000
χ312222-1222-122-1-1222-1-1-1-12-1-12-2-1-11122-2-1-111-2-21111202-2-20-2-200-1-1-1-100-2-1-111000200-1-11100110000000
χ322222-1222-122-1-1222-1-1-1-12-1-12-2-1-11122-2-1-111-2-21111-20-22202200111100-2-1-111000-20011-1-100-1-10000000
χ332222-1222-122-1-12-2-2-1-1-1-12-1-12211-1-1-2-2-2-1-111-2-21111202220-2-200-1-1-1-100211-1-1000-20011-1-100110000000
χ342222-1222-122-1-12-2-2-1-1-1-12-1-12211-1-1-2-2-2-1-111-2-21111-20-2-2-202200111100211-1-1000200-1-11100-1-10000000
χ352222-1222-122-1-12-2-2-1-1-1-12-1-12-21111-2-22-1-1-1-122-1-1-1-1202-2-202200-1-1-1-100-21111000-200111100-1-10000000
χ362222-1222-122-1-12-2-2-1-1-1-12-1-12-21111-2-22-1-1-1-122-1-1-1-1-20-2220-2-200111100-21111000200-1-1-1-100110000000
χ3722-2-222-2222-2-2-2-22-22-2-22-22-2202-2002-20-22000000000002i−2i02i−2i0000000002-200000000002i−2i002i−2i0000000
χ3822-2-222-2222-2-2-2-22-22-2-22-22-2202-2002-20-2200000000000−2i2i0−2i2i0000000002-20000000000−2i2i00−2i2i0000000
χ3922-2-222-2222-2-2-2-2-222-2-22-22-220-2200-220-22000000000002i−2i0−2i2i000000000-2200000000002i−2i00−2i2i0000000
χ4022-2-222-2222-2-2-2-2-222-2-22-22-220-2200-220-2200000000000−2i2i02i−2i000000000-220000000000−2i2i002i−2i0000000
χ4122-2-2-12-22-12-211-22-2-111-1-2-1120-11−i3i32-201-1−i3i300−i3−i3i3i30002i−2i02i−2i003−33−3000-11−i3i30000003−3−ii00−ii0000000
χ4222-2-2-12-22-12-211-22-2-111-1-2-1120-11−i3i32-201-1−i3i300−i3−i3i3i3000−2i2i0−2i2i00−33−33000-11−i3i3000000−33i−i00i−i0000000
χ4322-2-2-12-22-12-211-22-2-111-1-2-1120-11i3−i32-201-1i3−i300i3i3−i3−i30002i−2i02i−2i00−33−33000-11i3−i3000000−33−ii00−ii0000000
χ4422-2-2-12-22-12-211-22-2-111-1-2-1120-11i3−i32-201-1i3−i300i3i3−i3−i3000−2i2i0−2i2i003−33−3000-11i3−i30000003−3i−i00i−i0000000
χ4522-2-2-12-22-12-211-2-22-111-1-2-11201-1−i3i3-2201-1i3−i300i3i3−i3−i30002i−2i0−2i2i003−33−30001-1−i3i3000000−33−ii00i−i0000000
χ4622-2-2-12-22-12-211-2-22-111-1-2-11201-1−i3i3-2201-1i3−i300i3i3−i3−i3000−2i2i02i−2i00−33−330001-1−i3i30000003−3i−i00−ii0000000
χ4722-2-2-12-22-12-211-2-22-111-1-2-11201-1i3−i3-2201-1−i3i300−i3−i3i3i30002i−2i0−2i2i00−33−330001-1i3−i30000003−3−ii00i−i0000000
χ4822-2-2-12-22-12-211-2-22-111-1-2-11201-1i3−i3-2201-1−i3i300−i3−i3i3i3000−2i2i02i−2i003−33−30001-1i3−i3000000−33i−i00−ii0000000
χ4944444-2-4-44-2-244-200-2-2-2-22-4-4200000000220000000004000-400000000-2-200000000002000000000000000
χ5044444-2-4-44-2-244-200-2-2-2-22-4-420000000022000000000-4000400000000220000000000-2000000000000000
χ514444-24-4-4-244-2-2400-2-2-2-2-422-400000000220000000040-40000000-2-2220000000000000000000000000000
χ524444-24-4-4-244-2-2400-2-2-2-2-422-4000000002200000000-404000000022-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2441111-2-2-2-24-2-2-2-2-2-2411-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-2-2-2-2-4-2-222-2-2-4112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2422-2-222-4112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2-4222222411-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-4444-444-4-4-4-4004-4-444-44-4000000004-400000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-22-4-4200-222-2-2-44200000000-2200000000000000000000000000000000000000023−23000000000
χ5944-4-44-24-44-22-4-4200-222-2-2-44200000000-22000000000000000000000000000000000000000−2323000000000
χ6044-4-44-2-444-22-4-424-4-222-224-4-204-400-2202-20000000000000000000000000-2200000000000000000000000
χ6144-4-44-2-444-22-4-42-44-222-224-4-20-44002-202-200000000000000000000000002-200000000000000000000000
χ6244-4-4-244-4-24-422-400-222-242-2-400000000-2200000000000000000023−23−23230000000000000000000000000000
χ6344-4-4-244-4-24-422-400-222-242-2-400000000-22000000000000000000−232323−230000000000000000000000000000
χ6444-4-4-2-2-44-2-222224-41-1-112-22-20-22−2i32i3-220-11−2i32i300i3i3−i3−i3000000000000000001-1i3−i3000000000000000000000
χ6544-4-4-2-2-44-2-222224-41-1-112-22-20-222i3−2i3-220-112i3−2i300−i3−i3i3i3000000000000000001-1−i3i3000000000000000000000
χ6644-4-4-2-2-44-2-22222-441-1-112-22-202-2−2i32i32-20-112i3−2i300−i3−i3i3i300000000000000000-11i3−i3000000000000000000000
χ6744-4-4-2-2-44-2-22222-441-1-112-22-202-22i3−2i32-20-11−2i32i300i3i3−i3−i300000000000000000-11−i3i3000000000000000000000
χ684-44-44400-4-4-44-440044-4-400000000000000000000000000000022−22000000000000000000000000022−2200000
χ694-44-44400-4-4-44-440044-4-4000000000000000000000000000000−22220000000000000000000000000−222200000
χ704-44-44-200-4224-4-200-2-2220000000000000000i6−i6i6−i6i6−i60000000022−220000−2i32i30000000000000000000−2200000
χ714-44-44-200-4224-4-200-2-2220000000000000000i6−i6i6−i6i6−i600000000−222200002i3−2i300000000000000000002−200000
χ724-44-44-200-4224-4-200-2-2220000000000000000−i6i6−i6i6−i6i60000000022−2200002i3−2i30000000000000000000−2200000
χ734-44-44-200-4224-4-200-2-2220000000000000000−i6i6−i6i6−i6i600000000−22220000−2i32i300000000000000000002−200000
χ744-4-444400-4-44-44-4004-44-400000000000000000000000000000000000000000004-40000000000000000000
χ754-4-444400-4-44-44-4004-44-40000000000000000000000000000000000000000000-440000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-8-4-48-8-4-44444002-2-22-44-44000000002-200000000000000000000000000000000000000000000000000
χ788-88-8-48004-8-8-44800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-44-40022-2-200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000000
χ808-88-8-4-400444-44-40022-2-20000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000000
χ818-8-888-400-84-4-88400-44-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-884-4-800-44-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44002-22-200000000000000000032−32−3232000000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44002-22-2000000000000000000−323232−32000000000000000000000000000000000000000000

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