Finite Group Databasebeta

← Group #11781397

Character table — Group #11781397

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444444444888888888888888888888818181818242424242424242424242424363636363636484848484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424248888884412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1
χ922222222-2-22222222-222-2-2222-2-22-2-22-2-2-2-222-2-22222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ1022222222-2-22222222-2-2-222222-2-22-2-22-2-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2-222220000000000000000000000000000
χ11222222-2-2222222222-2000022222-222-22222-2-2-2-200000000-2-2-2-2000000002222000000000000-2-20000000000
χ12222222-2-2222222222-2000022222-222-22222-2-2-2-200000000-2-2-2-200000000-2-2-2-2000000000000220000000000
χ13222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-222000000000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000000000000000000000−2i−2i2i2i000000
χ1522222-1222222-1-1-12-122222-1-1-122-1-1-12-1-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ1622222-1222222-1-1-12-122222-1-1-122-1-1-12-1-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ1722222-1222222-1-1-12-12-2-2-2-2-1-1-122-1-1-12-1-1-1-1-122-1-2-21111-2-2-1-1-1-11111111100002200-1-1-1-10000000000-201100
χ1822222-1222222-1-1-12-12-2-2-2-2-1-1-122-1-1-12-1-1-1-1-122-1-2-21111-2-2-1-1-1-1111111110000-2-2001111000000000020-1-100
χ1922222-122-2-222-1-1-12-1-222-2-2-1-1-1-2-2-11121111-12-2122-1-111-2-2-1-111-1-1-1-1111100000000−i3−i3i3i3000000000000−i3i300
χ2022222-122-2-222-1-1-12-1-222-2-2-1-1-1-2-2-11121111-12-2122-1-111-2-2-1-111-1-1-1-1111100000000i3i3−i3−i3000000000000i3−i300
χ2122222-122-2-222-1-1-12-1-2-2-222-1-1-1-2-2-11121111-12-21-2-211-1-122-1-1111111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ2222222-122-2-222-1-1-12-1-2-2-222-1-1-1-2-2-11121111-12-21-2-211-1-122-1-1111111-1-1-1-100000000i3i3−i3−i3000000000000−i3i300
χ232222-122222-1-1222-1-122222-1-1-1-1-1222-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ242222-122222-1-1222-1-122222-1-1-1-1-1222-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ252222-122222-1-1222-1-12-2-2-2-2-1-1-1-1-1222-1-1-1-1-12-1-1211-2-2-2-211-1-1-1-111111111000000220000-1-1-1-10000000-20011
χ262222-122222-1-1222-1-12-2-2-2-2-1-1-1-1-1222-1-1-1-1-12-1-1211-2-2-2-211-1-1-1-111111111000000-2-2000011110000000200-1-1
χ272222-1222-2-2-1-1222-1-1-222-2-2-1-1-1112-2-2-111112-11-2-1-122-2-211-1-111-1-1-1-11111000000000000−i3−i3i3i30000000000−i3i3
χ282222-1222-2-2-1-1222-1-1-222-2-2-1-1-1112-2-2-111112-11-2-1-122-2-211-1-111-1-1-1-11111000000000000i3i3−i3−i30000000000i3−i3
χ292222-1222-2-2-1-1222-1-1-2-2-222-1-1-1112-2-2-111112-11-211-2-222-1-1-1-1111111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ302222-1222-2-2-1-1222-1-1-2-2-222-1-1-1112-2-2-111112-11-211-2-222-1-1-1-1111111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ312-22-22200-222-2-2-22-22000002-2-22-202-2022-2-20000000000000000000000002i2i−2i−2i−i2i22−2−i2i2−i2i22−22−2000000000000
χ322-22-22200-222-2-2-22-22000002-2-22-202-2022-2-20000000000000000000000002i2i−2i−2ii2−i2−22i2−i2i2−i2−22−22000000000000
χ332-22-22200-222-2-2-22-22000002-2-22-202-2022-2-2000000000000000000000000−2i−2i2i2i−i2i2−22−i2i2−i2i2−22−22000000000000
χ342-22-22200-222-2-2-22-22000002-2-22-202-2022-2-2000000000000000000000000−2i−2i2i2ii2−i22−2i2−i2i2−i22−22−2000000000000
χ352-2-22222-200-2-22-2-2220002-2-22-200200-20000-220000002-22-22-200000022-2-2−i2i2−i2i2000000000000−i2i2−i2i2−i2i2000000
χ362-2-22222-200-2-22-2-2220002-2-22-200200-20000-220000002-22-22-200000022-2-2i2−i2i2−i2000000000000i2−i2i2−i2i2−i2000000
χ372-2-22222-200-2-22-2-222000-22-22-200200-20000-22000000-22-222-2000000-2-222−i2i2−i2i2000000000000−i2i2i2−i2i2−i2000000
χ382-2-22222-200-2-22-2-222000-22-22-200200-20000-22000000-22-222-2000000-2-222i2−i2i2−i2000000000000i2−i2−i2i2−i2i2000000
χ392-2-2222-2200-2-22-2-22202i−2i00-22-200-200200002-2002i−2i2i−2i0000-22002i2i−2i−2i0000−i2i2−i2i2000000000000i2−i22−2−22000000
χ402-2-2222-2200-2-22-2-22202i−2i00-22-200-200200002-2002i−2i2i−2i0000-22002i2i−2i−2i0000i2−i2i2−i2000000000000−i2i2−222−2000000
χ412-2-2222-2200-2-22-2-2220−2i2i00-22-200-200200002-200−2i2i−2i2i0000-2200−2i−2i2i2i0000−i2i2−i2i2000000000000i2−i2−222−2000000
χ422-2-2222-2200-2-22-2-2220−2i2i00-22-200-200200002-200−2i2i−2i2i0000-2200−2i−2i2i2i0000i2−i2i2−i2000000000000−i2i22−2−22000000
χ4344444-2-4-44444-2-2-24-2-40000-2-2-2442-2-2-4-2-2-2-22-4-42000000002222000000000000000000000000000000000000
χ4444444-2-4-4-4-444-2-2-24-240000-2-2-2-4-4222-422222-44-20000000022-2-2000000000000000000000000000000000000
χ454444-24-4-444-2-2444-2-2-40000-2-2-2-2-2-4442-2-2-2-2-422-4000000002222000000000000000000000000000000000000
χ464444-24-4-4-4-4-2-2444-2-240000-2-2-222-4-4-422222-42-240000000022-2-2000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ484444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-2-244-4-4-2-2-2-2-2-21-444-4-411122-222-2-1-1-1-1-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000
χ504444-2-244-4-4-2-2-2-2-2-21-4-4-44411122-222-2-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000
χ514444-2-2-4-444-2-2-2-2-2-21-40000111-2-22-2-221111222200000000-1-1-1-13-33-33-33-30000000000000000000000000000
χ524444-2-2-4-444-2-2-2-2-2-21-40000111-2-22-2-221111222200000000-1-1-1-1-33-33-33-330000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-1113-33-3-33-330000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-111-33-333-33-30000000000000000000000000000
χ5544-4-4440000-44-44-4-4400000-4-44000000000000000000000000000000000022−22−2222000000000000000000000000
χ5644-4-4440000-44-44-4-4400000-4-440000000000000000000000000000000000−222222−22000000000000000000000000
χ574-44-444004-44-4-4-44-44000004-4-4-440-440-4-4440000000000000000000000000000000000000000000000000000
χ584-44-44-2004-44-422-2-4-200000-222-4402-2022-2-2000000000000000000000000000000006−6−660000000000000000
χ594-44-44-2004-44-422-2-4-200000-222-4402-2022-2-200000000000000000000000000000000−666−60000000000000000
χ604-44-44-200-444-422-2-4-200000-2224-40-220-2-2220000000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ614-44-44-200-444-422-2-4-200000-2224-40-220-2-22200000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ624-44-4-24004-4-22-4-442-200000-2222-20-44022-2-2000000000000000000000000000000000000i6−i6−i6i6000000000000
χ634-44-4-24004-4-22-4-442-200000-2222-20-44022-2-2000000000000000000000000000000000000−i6i6i6−i6000000000000
χ644-44-4-2400-44-22-4-442-200000-222-2204-40-2-22200000000000000000000000000000022−220000−22−22000000000000
χ654-44-4-2400-44-22-4-442-200000-222-2204-40-2-222000000000000000000000000000000−222200002−22−2000000000000
χ664-4-444-24-400-4-4-2224-20004-42-2200-200-4000024000000-224-4-22000000-2-2220000000000000000000000000000
χ674-4-444-24-400-4-4-2224-2000-442-2200-200-40000240000002-2-44-2200000022-2-20000000000000000000000000000
χ684-4-444-2-4400-4-4-2224-204i−4i002-220020040000-2-4004i−4i−2i2i00002-200−2i−2i2i2i00000000000000000000000000000000
χ694-4-444-2-4400-4-4-2224-20−4i4i002-220020040000-2-400−4i4i2i−2i00002-2002i2i−2i−2i00000000000000000000000000000000
χ704-4-44-244-400224-4-4-2-20004-42-220040020000-4-20000004-4-22-22000000-2-2220000000000000000000000000000
χ714-4-44-244-400224-4-4-2-2000-442-220040020000-4-2000000-442-2-2200000022-2-20000000000000000000000000000
χ724-4-44-24-4400224-4-4-2-204i−4i002-2200-400-200004200−2i2i4i−4i00002-200−2i−2i2i2i00000000000000000000000000000000
χ734-4-44-24-4400224-4-4-2-20−4i4i002-2200-400-2000042002i−2i−4i4i00002-2002i2i−2i−2i00000000000000000000000000000000
χ744-4-44-2-24-40022-222-210004-4-11-100-20023i−3i3i−3i2-2000000-22-221-13i−3i3i−3i−3i3i11-1-10000000000000000000000000000
χ754-4-44-2-24-40022-222-210004-4-11-100-2002−3i3i−3i3i2-2000000-22-221-1−3i3i−3i3i3i−3i11-1-10000000000000000000000000000
χ764-4-44-2-24-40022-222-21000-44-11-100-20023i−3i3i−3i2-20000002-22-21-13i−3i−3i3i3i−3i-1-1110000000000000000000000000000
χ774-4-44-2-24-40022-222-21000-44-11-100-2002−3i3i−3i3i2-20000002-22-21-1−3i3i3i−3i−3i3i-1-1110000000000000000000000000000
χ784-4-44-2-2-440022-222-2104i−4i00-11-100200-23i−3i3i−3i-2200−2i2i−2i2i0000-11−3i3iii−i−i3-3-330000000000000000000000000000
χ794-4-44-2-2-440022-222-2104i−4i00-11-100200-2−3i3i−3i3i-2200−2i2i−2i2i0000-113i−3iii−i−i-333-30000000000000000000000000000
χ804-4-44-2-2-440022-222-210−4i4i00-11-100200-23i−3i3i−3i-22002i−2i2i−2i0000-11−3i3i−i−iii-333-30000000000000000000000000000
χ814-4-44-2-2-440022-222-210−4i4i00-11-100200-2−3i3i−3i3i-22002i−2i2i−2i0000-113i−3i−i−iii3-3-330000000000000000000000000000
χ8288-8-88-40000-884-44-8-40000044-400000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4800004-4-88-84-40000044-400000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400004-44-444200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8588-8-8-4-400004-44-444200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ868-88-8-4-4008-8-4444-442000002-2-24-404-40-2-2220000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-88-4444-442000002-2-2-440-44022-2-20000000000000000000000000000000000000000000000000000

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