Finite Group Databasebeta

← Group #11864128

Character table — Group #11864128

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order122233446666662236661212121222444666681212242424242424242422244466121266121212122244226668812121224242424446648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1111-1-1111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1111111111111111111-11-1-111-1-1111111-1-1-1-11-1-1111-11-1-111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1-1-1-1-1-11-111-111-1-1-1-111-1-11-111
χ5111111111111111111111111-1-1111111111111111111-1-11-111-1-111111111-1-1-1-1-111-1-1-11-111-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-11111-111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-11111-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-111111111-1-1
χ911111111111111-1-11111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1111-1
χ1011111111111111-1-1111111111111-1-1-1-1-111111111111-1-111-1-11111-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-1-1-1-11
χ1111111111111111-1-11111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-11111-11-11
χ1211111111111111-1-11111111111-1-1-1-1-1-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111111-1-1111-11-1
χ1311111111111111-1-111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-111111-1-1-1-111-1-1111-1-11
χ1411111111111111-1-111111111-1-111-1-1-1-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-1-1-11111-111-1
χ1511111111111111-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-11111-1111111-1-1-1-11-1
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111-11
χ17222222-2-2222222002222-2-2-2-22222000000-2-20000000000-2-2002222000000-2-22200-20000-2000000000000
χ18222222-2-2222222002222-2-2-2-222-2-2000000-2-200000000002-20022-2-200000022-2-20020000-2000000000000
χ19222222-2-2222222002222-2-2-2-2-2-222000000-2-20000000000-2200-2-22200000022-2-200-200002000000000000
χ20222222-2-2222222002222-2-2-2-2-2-2-2-2000000-2-200000000002200-2-2-2-2000000-2-22200200002000000000000
χ2122222-1222-12-1-1222-1-1-1-1-12-122200222-1-12-1-122-1-1-1-1-1-1220200-1-100-1-12-1-1-10000200-1-120-100-1-100000-100
χ2222222-1222-12-1-1222-1-1-1-1-12-122200-222-1-1-2-1-1-2-2111111220200-1-100-1-1-21110000-200-1-1-20-1001100000100
χ2322222-1222-12-1-1222-1-1-1-1-12-12-2-200222-1-12-1-122-1-1-1-1-1-1-2-20-2001100-1-12-1-1-10000-20011-201001100000100
χ2422222-1222-12-1-1222-1-1-1-1-12-12-2-200-222-1-1-2-1-1-2-2111111-2-20-2001100-1-1-211100002001120100-1-100000-100
χ2522222-1222-12-1-12-2-2-1-1-1-1-12-1222002-2-211-2-1-1-2-2111111-2-20200-1-100112-1-1-1000020011-20-1001100000-100
χ2622222-1222-12-1-12-2-2-1-1-1-1-12-122200-2-2-2112-1-122-1-1-1-1-1-1-2-20200-1-10011-21110000-2001120-100-1-100000100
χ2722222-1222-12-1-12-2-2-1-1-1-1-12-12-2-2002-2-211-2-1-1-2-2111111220-2001100112-1-1-10000-200-1-120100-1-100000100
χ2822222-1222-12-1-12-2-2-1-1-1-1-12-12-2-200-2-2-2112-1-122-1-1-1-1-1-1220-200110011-21110000200-1-1-201001100000-100
χ292222-1222-12-122-122-1-1-1-12-12-100222-1-1222-1-1-1-122-1-1-1-100202200-1-1-1-1-12-1-1000002-100020-1-100-1-100-1000
χ302222-1222-12-122-122-1-1-1-12-12-10022-2-1-122-2-1-111-2-2111100202200-1-1-1-11-21100000-2-1000-20-1-10011001000
χ312222-1222-12-122-122-1-1-1-12-12-100-2-22-1-1222-1-1-1-122-1-1-1-100-20-2-20011-1-1-12-1-100000-21000-20110011001000
χ322222-1222-12-122-122-1-1-1-12-12-100-2-2-2-1-122-2-1-111-2-2111100-20-2-20011-1-11-2110000021000201100-1-100-1000
χ332222-1222-12-122-1-2-2-1-1-1-12-12-10022211-2-2-2-1-111-2-211110020-2-200-1-111-12-1-1000002-1000-2011001100-1000
χ342222-1222-12-122-1-2-2-1-1-1-12-12-10022-211-2-22-1-1-1-122-1-1-1-10020-2-200-1-1111-21100000-2-1000201100-1-1001000
χ352222-1222-12-122-1-2-2-1-1-1-12-12-100-2-2211-2-2-2-1-111-2-2111100-2022001111-12-1-100000-2100020-1-100-1-1001000
χ362222-1222-12-122-1-2-2-1-1-1-12-12-100-2-2-211-2-22-1-1-1-122-1-1-1-100-20220011111-2110000021000-20-1-1001100-1000
χ372-2-22222-2-2-2-2-2222-22-22-2-2-222000002-22-202-20000000000000000002-200002-22-2000000000000002-20000
χ382-2-22222-2-2-2-2-2222-22-22-2-2-222000002-22-202-20000000000000000002-20000-22-2200000000000000-220000
χ392-2-22222-2-2-2-2-222-222-22-2-2-22200000-22-2202-2000000000000000000-2200002-22-200000000000000-220000
χ402-2-22222-2-2-2-2-222-222-22-2-2-22200000-22-2202-2000000000000000000-220000-22-22000000000000002-20000
χ412-2-2222-22-2-2-2-222002-22-222-2-20000000000-22000000002-2002-200000000002-2-220002-20002-20000000000
χ422-2-2222-22-2-2-2-222002-22-222-2-20000000000-22000000002-200-220000000000-222-20002-2000-220000000000
χ432-2-2222-22-2-2-2-222002-22-222-2-20000000000-2200000000-22002-20000000000-222-2000-220002-20000000000
χ442-2-2222-22-2-2-2-222002-22-222-2-20000000000-2200000000-2200-2200000000002-2-22000-22000-220000000000
χ4544444-2-4-44-24-2-2400-2-2-2-22-42-444000000002200000000000-400-2-200000000000000000002000000000000
χ4644444-2-4-44-24-2-2400-2-2-2-22-42-4-4-4000000002200000000000400220000000000000000000-2000000000000
χ474444-24-4-4-24-244-200-2-2-2-2-42-420044000000220000000000-400000-2-2000000000000200000000000000000
χ484444-24-4-4-24-244-200-2-2-2-2-42-4200-4-400000022000000000040000022000000000000-200000000000000000
χ494444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-2411-2-2-2-21111000000000011-2-211000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-4112222-1-1-1-100000000001122-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4112222-1-1-1-10000000000-1-1-2-211000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-42222411-2-2-2-211110000000000-1-122-1-1000000000000000000000000
χ5344-4-4440044-4-4-4-40044-4-40000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ5444-4-4440044-4-4-4-40044-4-4000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ5544-4-4-2400-242-4-4200-2-2220000004i−4i000000006−60066−6−600000000−2i2i0000000000000000000000i6−i6000000
χ5644-4-4-2400-242-4-4200-2-2220000004i−4i00000000−6600−6−66600000000−2i2i0000000000000000000000−i6i6000000
χ5744-4-4-2400-242-4-4200-2-222000000−4i4i000000006−60066−6−6000000002i−2i0000000000000000000000−i6i6000000
χ5844-4-4-2400-242-4-4200-2-222000000−4i4i00000000−6600−6−666000000002i−2i0000000000000000000000i6−i6000000
χ594-44-44400-4-444-4-4004-4-4400004-40000000000000000000000004-400000000000000000000000000000000
χ604-44-44400-4-444-4-4004-4-440000-44000000000000000000000000-4400000000000000000000000000000000
χ614-44-44-200-424-22-400-222-200004-4000000000000i6−i6i6−i6i6−i6000000-220000000000000000000000i6−i600000000
χ624-44-44-200-424-22-400-222-200004-4000000000000−i6i6−i6i6−i6i6000000-220000000000000000000000−i6i600000000
χ634-44-44-200-424-22-400-222-20000-44000000000000i6−i6i6−i6i6−i60000002-20000000000000000000000−i6i600000000
χ644-44-44-200-424-22-400-222-20000-44000000000000−i6i6−i6i6−i6i60000002-20000000000000000000000i6−i600000000
χ654-4-444-24-4-42-42-244-4-22-222-4-24000004-4-220-22000000000000000000-220000000000000000000000000000
χ664-4-444-24-4-42-42-24-44-22-222-4-2400000-442-20-220000000000000000002-20000000000000000000000000000
χ674-4-444-2-44-42-42-2400-22-22-242-400000000002-2000000004-4000000000000000000000-22000000000000000
χ684-4-444-2-44-42-42-2400-22-22-242-400000000002-200000000-440000000000000000000002-2000000000000000
χ694-4-44-244-42-42-44-24-4-22-22-424-200000-224-40-22000000000000000000-220000000000000000000000000000
χ704-4-44-244-42-42-44-2-44-22-22-424-2000002-2-440-220000000000000000002-20000000000000000000000000000
χ714-4-44-24-442-42-44-200-22-224-2-4200000000002-20000000000004-40000000000000000000000-220000000000
χ724-4-44-24-442-42-44-200-22-224-2-4200000000002-2000000000000-4400000000000000000000002-20000000000
χ734-4-44-2-24-42222-2-24-41-11-122-2-200000-22-2201-100003i−3i−3i3i00000000001-1003i−3i000000000000000000000000
χ744-4-44-2-24-42222-2-24-41-11-122-2-200000-22-2201-10000−3i3i3i−3i00000000001-100−3i3i000000000000000000000000
χ754-4-44-2-24-42222-2-2-441-11-122-2-2000002-22-201-100003i−3i−3i3i0000000000-1100−3i3i000000000000000000000000
χ764-4-44-2-24-42222-2-2-441-11-122-2-2000002-22-201-10000−3i3i3i−3i0000000000-11003i−3i000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-400222244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-88-4008-4-844-800-4-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444440022-2-2000000000000000026−2600−6−6660000000000000000000000000000000000000000
χ8088-8-8-4-400-4-444440022-2-20000000000000000−26260066−6−60000000000000000000000000000000000000000
χ818-88-8-48004-8-48-8400-444-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-444002-2-220000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-40044-4-444002-2-22000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4002-22-2-4-4440000000000-22000000000000000000000000000000000000000000000000

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