Finite Group Databasebeta

← Group #11781964

Character table — Group #11781964

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222244444444444448888888816161616161616161624242424242424242424242424242424242424242424242436363636144
order1222334444666666346661212121212121212121212121212121241212121212121212448888881212121224242424242424242424242488884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11
χ922222222-2-22222222-2222-2-2-222-222-2-2-2-2-2-2220000000002-200000022-2-200000000000000000
χ1022222222-2-22222222-2222-2-2-222-222-2-2-2-2-2-222000000000-22000000-2-22200000000000000000
χ11222222-2-2222222222-2222222-2-22-2-2-2-222-2-2-2-200000000000000000000000000000000022-2-20
χ12222222-2-2222222222-2222222-2-22-2-2-2-222-2-2-2-2000000000000000000000000000000000-2-2220
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000002i−2i0000000000002i2i−2i−2i00000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000−2i2i000000000000−2i−2i2i2i00000
χ1522222-1222222-12-1-1-12-1-1-12-1-12-122-12-1-1-1-1-1-1-1222-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000
χ1622222-1222222-12-1-1-12-1-1-12-1-12-122-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-20000111111110000000000000
χ1722222-1222222-12-1-1-12-1-1-12-1-12-122-12-1-1-1-1-1-1-1-2-2-211111122-2-20000-1-1-1-111110000000000000
χ1822222-1222222-12-1-1-12-1-1-12-1-12-122-12-1-1-1-1-1-1-1-2-2-2111111-2-22200001111-1-1-1-10000000000000
χ1922222-122-2-222-12-1-1-1-2-1-1-1-2112-1-22-1-211111-1-1000−i3i3−i3−i3i3i32-2000000-1-111−i3−i3i3i30000000000000
χ2022222-122-2-222-12-1-1-1-2-1-1-1-2112-1-22-1-211111-1-1000−i3i3−i3−i3i3i3-2200000011-1-1i3i3−i3−i30000000000000
χ2122222-122-2-222-12-1-1-1-2-1-1-1-2112-1-22-1-211111-1-1000i3−i3i3i3−i3−i32-2000000-1-111i3i3−i3−i30000000000000
χ2222222-122-2-222-12-1-1-1-2-1-1-1-2112-1-22-1-211111-1-1000i3−i3i3i3−i3−i3-2200000011-1-1−i3−i3i3i30000000000000
χ232222-122222-1-12-122-12-1-1-1-122-12-1-12-12-1-1-1-1-1-12-1-122-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000
χ242222-122222-1-12-122-12-1-1-1-122-12-1-12-12-1-1-1-1-1-12-1-122-1-1-1-10000-2-2-2-2000000001111111100000
χ252222-122222-1-12-122-12-1-1-1-122-12-1-12-12-1-1-1-1-1-1-211-2-21111000022-2-200000000-1-1-1-1111100000
χ262222-122222-1-12-122-12-1-1-1-122-12-1-12-12-1-1-1-1-1-1-211-2-211110000-2-222000000001111-1-1-1-100000
χ272222-12-2-2-2-2-1-12-122-12-1-1-11-2-21-211-2-1211-1-1110−i3i300−i3i3−i3i30000002i−2i0000000033−3−3−i−iii00000
χ282222-12-2-2-2-2-1-12-122-12-1-1-11-2-21-211-2-1211-1-1110−i3i300−i3i3−i3i3000000−2i2i00000000−3−333ii−i−i00000
χ292222-12-2-2-2-2-1-12-122-12-1-1-11-2-21-211-2-1211-1-1110i3−i300i3−i3i3−i30000002i−2i00000000−3−333−i−iii00000
χ302222-12-2-2-2-2-1-12-122-12-1-1-11-2-21-211-2-1211-1-1110i3−i300i3−i3i3−i3000000−2i2i0000000033−3−3ii−i−i00000
χ3122-2-222002-22-22-2-2-2202-2-222-200-200002-20000000000000002−22−20000002−22−22−22−200002-2000
χ3222-2-222002-22-22-2-2-2202-2-222-200-200002-20000000000000002−2−220000002−22−2−22−220000-22000
χ3322-2-222002-22-22-2-2-2202-2-222-200-200002-2000000000000000−222−2000000−22−222−22−20000-22000
χ3422-2-222002-22-22-2-2-2202-2-222-200-200002-2000000000000000−22−22000000−22−22−22−2200002-2000
χ3544444-2-4-44444-24-2-2-2-4-2-2-24-2-2-424-42-42-2-2222200000000000000000000000000000000000000
χ3644444-2-4-4-4-444-24-2-2-24-2-2-2-422-42-4-424-222-2-22200000000000000000000000000000000000000
χ374444-2444-4-4-2-24-244-2-4-2-2-22-4-4-242-242-42222-2-200000000000000000000000000000000000000
χ384444-24-4-444-2-24-244-2-4-2-2-2-2442-4-22-42-4-2-2222200000000000000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-21111114-2-2-2-2111100000000000000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2111111-42222-1-1-1-100000000000000000000000000000
χ414444-2-244-4-4-2-2-2-2-2-21-4111222-2-22-2-222-1-1-1-111000−2i32i3i3i3−i3−i300000000000000000000000000000
χ424444-2-244-4-4-2-2-2-2-2-21-4111222-2-22-2-222-1-1-1-1110002i3−2i3−i3−i3i3i300000000000000000000000000000
χ434444-2-2-4-444-2-2-2-2-2-21-4111-2-2-222-2222211-1-1-1-1000003-3-3300000000000000000000000000000
χ444444-2-2-4-444-2-2-2-2-2-21-4111-2-2-222-2222211-1-1-1-100000-333-300000000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-10−2i32i300i3−i3i3−i300000000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-102i3−2i300−i3i3−i3i300000000000000000000000000000
χ4744-4-44400-444-44-4-4-4404-4-4-4-440040000-44000000000000000000000000000000000000000000
χ4844-4-44-2004-44-4-2-422-20-2224-2200-40000-2200000000000000022−2200000000−22−220000000000000
χ4944-4-44-2004-44-4-2-422-20-2224-2200-40000-22000000000000000−2222000000002−22−20000000000000
χ5044-4-44-200-444-4-2-422-20-222-42-200400002-20000000000000000000000000i6−i6−i6i60000000000000
χ5144-4-44-200-444-4-2-422-20-222-42-200400002-20000000000000000000000000−i6i6i6−i60000000000000
χ5244-4-4-24004-4-2242-4-4-20-222-24-40020000-220000000000000000022−220000000000−22−22000000000
χ5344-4-4-24004-4-2242-4-4-20-222-24-40020000-2200000000000000000−222200000000002−22−2000000000
χ5444-4-4-2400-44-2242-4-4-20-2222-4400-200002-2000000000000000000000000000006−6−66000000000
χ5544-4-4-2400-44-2242-4-4-20-2222-4400-200002-200000000000000000000000000000−666−6000000000
χ564-44-4440000-44-4-44-440-44-400000000000000000000000000000000000000000000000000022−220
χ574-44-4440000-44-4-44-440-44-4000000000000000000000000000000000000000000000000000−22220
χ584-4-44444-400-4-4-44-4440-4-440004-40-440000004-400000000000000000000000000000000000000
χ594-4-4444-4400-4-4-44-4440-4-44000-4404-4000000-4400000000000000000000000000000000000000
χ604-4-444-24-400-4-4242-2-2022-2000420-4-2000000-220000000000000000000−2i32i300000000000000000
χ614-4-444-24-400-4-4242-2-2022-2000420-4-2000000-2200000000000000000002i3−2i300000000000000000
χ624-4-444-2-4400-4-4242-2-2022-2000-4-20420000002-20000000000000000023−230000000000000000000
χ634-4-444-2-4400-4-4242-2-2022-2000-4-20420000002-200000000000000000−23230000000000000000000
χ644-4-44-244-40022-4-2-44-2022-2000-2-4024000000-22000000000000000000000000000006−66−600000
χ654-4-44-244-40022-4-2-44-2022-2000-2-4024000000-2200000000000000000000000000000−66−6600000
χ664-4-44-24-440022-4-2-44-2022-2000240-2-40000002-200000000000000000000000000000i6−i6−i6i600000
χ674-4-44-24-440022-4-2-44-2022-2000240-2-40000002-200000000000000000000000000000−i6i6i6−i600000
χ6888-8-8-4-4008-8-44-4444202-2-2-4-4400400002-2000000000000000000000000000000000000000000
χ6988-8-8-4-400-88-44-4444202-2-244-400-40000-22000000000000000000000000000000000000000000
χ708-88-88-40000-884-8-44-404-44000000000000000000000000000000000000000000000000000000
χ718-88-8-4800004-4-848-8-404-44000000000000000000000000000000000000000000000000000000
χ728-88-8-4-400004-444-4420-22-20000000000006-60000000000000000000000000000000000000000
χ738-88-8-4-400004-444-4420-22-2000000000000-660000000000000000000000000000000000000000
χ748-8-88-4-48-800444-44-420-2-22000-4404-40000002-200000000000000000000000000000000000000
χ758-8-88-4-4-8800444-44-420-2-220004-40-44000000-2200000000000000000000000000000000000000

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