Finite Group Databasebeta

← Group #11781708

Character table — Group #11781708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222244444444444448888888816161616161616161624242424242424242424242424242424242424242424242436363636144
order122233444466666634666121212121212121212121212121212122666666662466888888121224242424242424242424242488882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11
χ922222222-2-22222222-222222-2-2-222-2-2-222-2-2-2-20000000002-222000000-2-200000000000000000
χ1022222222-2-22222222-222222-2-2-222-2-2-222-2-2-2-2000000000-22-2-20000002200000000000000000
χ11222222-2-2222222222-2222-2-2222-2-22-2-2-2-222-2-200000000000000000000000000000000022-2-20
χ12222222-2-2222222222-2222-2-2222-2-22-2-2-2-222-2-2000000000000000000000000000000000-2-2220
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000002i−2i00000000002i2i−2i−2i00000
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-22200000000000000000−2i2i0000000000−2i−2i2i2i00000
χ1522222-12222222-1-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1220000-1-1-1-1-1-10000000000000
χ1622222-12222222-1-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-211-2-200001111110000000000000
χ1722222-12222222-1-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-1-2-2-211111122-1-1-2-20000-1-111110000000000000
χ1822222-12222222-1-1-1-12-1-1-12-12-1-12-122-1-1-1-1-1-1-1-2-2-2111111-2-21122000011-1-1-1-10000000000000
χ1922222-122-2-2222-1-1-1-1-2-1-1-12-1-2112-1-2-21-1-11111000−i3i3−i3−i3i3i32-2-1-100000011−i3−i3i3i30000000000000
χ2022222-122-2-2222-1-1-1-1-2-1-1-12-1-2112-1-2-21-1-11111000−i3i3−i3−i3i3i3-2211000000-1-1i3i3−i3−i30000000000000
χ2122222-122-2-2222-1-1-1-1-2-1-1-12-1-2112-1-2-21-1-11111000i3−i3i3i3−i3−i32-2-1-100000011i3i3−i3−i30000000000000
χ2222222-122-2-2222-1-1-1-1-2-1-1-12-1-2112-1-2-21-1-11111000i3−i3i3i3−i3−i3-2211000000-1-1−i3−i3i3i30000000000000
χ232222-122222-1-1-1222-12-1-1-1-12-122-12-1-12-1-1-1-1-1-12-1-122-1-1-1-10000002222000000-1-1-1-1-1-1-1-100000
χ242222-122222-1-1-1222-12-1-1-1-12-122-12-1-12-1-1-1-1-1-12-1-122-1-1-1-1000000-2-2-2-20000001111111100000
χ252222-122222-1-1-1222-12-1-1-1-12-122-12-1-12-1-1-1-1-1-1-211-2-2111100000022-2-2000000-1-1-1-1111100000
χ262222-122222-1-1-1222-12-1-1-1-12-122-12-1-12-1-1-1-1-1-1-211-2-21111000000-2-2220000001111-1-1-1-100000
χ272222-12-2-2-2-2-1-1-1222-12-1-1-11-21-2-21-21-121111-1-10−i3i300−i3i3−i3i3000000002i−2i00000033−3−3−i−iii00000
χ282222-12-2-2-2-2-1-1-1222-12-1-1-11-21-2-21-21-121111-1-10−i3i300−i3i3−i3i300000000−2i2i000000−3−333ii−i−i00000
χ292222-12-2-2-2-2-1-1-1222-12-1-1-11-21-2-21-21-121111-1-10i3−i300i3−i3i3−i3000000002i−2i000000−3−333−i−iii00000
χ302222-12-2-2-2-2-1-1-1222-12-1-1-11-21-2-21-21-121111-1-10i3−i300i3−i3i3−i300000000−2i2i00000033−3−3ii−i−i00000
χ312-2-222200-222-2-2-2-22202-2-200-22-200200002-20000000000000002−22−200002−22−22−22−20000002-20
χ322-2-222200-222-2-2-2-22202-2-200-22-200200002-20000000000000002−2−2200002−22−2−22−22000000-220
χ332-2-222200-222-2-2-2-22202-2-200-22-200200002-2000000000000000−222−20000−22−222−22−2000000-220
χ342-2-222200-222-2-2-2-22202-2-200-22-200200002-2000000000000000−22−220000−22−22−22−220000002-20
χ3544444-2-4-444444-2-2-2-2-4-2-2-2-424-2-2-424-4222-2-22200000000000000000000000000000000000000
χ3644444-2-4-4-4-4444-2-2-2-24-2-2-2-42-422-42-44-22222-2-200000000000000000000000000000000000000
χ374444-2444-4-4-2-2-2444-2-4-2-2-2-242-4-4-2422-4-2-2222200000000000000000000000000000000000000
χ384444-24-4-444-2-2-2444-2-4-2-2-22-4-2442-4-22-422-2-22200000000000000000000000000000000000000
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
χ414444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-222211-1-1-1-1000−2i32i3i3i3−i3−i300000000000000000000000000000
χ424444-2-244-4-4-2-2-2-2-2-21-4111-2-2222-2-222211-1-1-1-10002i3−2i3−i3−i3i3i300000000000000000000000000000
χ434444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-222-1-111-1-1000003-3-3300000000000000000000000000000
χ444444-2-2-4-444-2-2-2-2-2-21-411122-2-2-222-222-1-111-1-100000-333-300000000000000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-1110−2i32i300i3−i3i3−i300000000000000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-11102i3−2i300−i3i3−i3i300000000000000000000000000000
χ4744-4-4440000-44-44-4-440-44-4000000000000000000000000000000000000000000000000022−22000
χ4844-4-4440000-44-44-4-440-44-40000000000000000000000000000000000000000000000000−2222000
χ494-44-4444-400-4-44-44-440-4-444-4000-440004-4000000000000000000000000000000000000000000
χ504-44-444-4400-4-44-44-440-4-44-440004-4000-44000000000000000000000000000000000000000000
χ514-44-44-24-400-4-442-22-2022-242000-4-2000-22000000000000000−2i32i30000000000000000000000000
χ524-44-44-24-400-4-442-22-2022-242000-4-2000-220000000000000002i3−2i30000000000000000000000000
χ534-44-44-2-4400-4-442-22-2022-2-4-2000420002-20000000000000000000000023−2300000000000000000
χ544-44-44-2-4400-4-442-22-2022-2-4-2000420002-200000000000000000000000−232300000000000000000
χ554-44-4-244-40022-2-44-4-2022-2-2-400024000-220000000000000000000000000000000006−66−600000
χ564-44-4-244-40022-2-44-4-2022-2-2-400024000-22000000000000000000000000000000000−66−6600000
χ574-44-4-24-440022-2-44-4-2022-224000-2-40002-2000000000000000000000000000000000i6−i6−i6i600000
χ584-44-4-24-440022-2-44-4-2022-224000-2-40002-2000000000000000000000000000000000−i6i6i6−i600000
χ594-4-4444004-44-4-4-4-44404-4-4004-4400-40000-440000000000000000000000000000000000000000
χ604-4-444-2004-44-4-422-2-20-2220042-200-400002-200000000000000000000000i6−i6−i6i60000000000000
χ614-4-444-2004-44-4-422-2-20-2220042-200-400002-200000000000000000000000−i6i6i6−i60000000000000
χ624-4-444-200-444-4-422-2-20-22200-4-220040000-2200000000000000022−22000000−22−220000000000000
χ634-4-444-200-444-4-422-2-20-22200-4-220040000-22000000000000000−22220000002−22−20000000000000
χ644-4-44-24004-4-222-4-44-20-22200-2-4400200002-20000000000000000000000000006−6−66000000000
χ654-4-44-24004-4-222-4-44-20-22200-2-4400200002-2000000000000000000000000000−666−6000000000
χ664-4-44-2400-44-222-4-44-20-2220024-400-20000-220000000000000000022−2200000000−22−22000000000
χ674-4-44-2400-44-222-4-44-20-2220024-400-20000-2200000000000000000−2222000000002−22−2000000000
χ6888-8-88-40000-88-8-444-404-44000000000000000000000000000000000000000000000000000000
χ6988-8-8-4800004-448-8-8-404-44000000000000000000000000000000000000000000000000000000
χ7088-8-8-4-400004-44-44420-22-2000000000000006-600000000000000000000000000000000000000
χ7188-8-8-4-400004-44-44420-22-200000000000000-6600000000000000000000000000000000000000
χ728-88-8-4-48-80044-44-4420-2-22-440004-40002-2000000000000000000000000000000000000000000
χ738-88-8-4-4-880044-44-4420-2-224-4000-44000-22000000000000000000000000000000000000000000
χ748-8-88-4-4008-8-44444-4202-2-200-44-40040000-220000000000000000000000000000000000000000
χ758-8-88-4-400-88-44444-4202-2-2004-4400-400002-20000000000000000000000000000000000000000

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