Finite Group Databasebeta

← Group #11864465

Character table — Group #11864465

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666662236668812121212466661212242424242424242422444444121212126612121212224422668812121212242424244488664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1111-1-1-111-1-1111111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-1-1-1111-1-111111111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1
χ911111111111111-1-11111111111-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ1011111111111111-1-11111111111-1-1-1-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-1-111
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-11-11-1-11-1-111-1-11111111-1-1
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1-1-1-11-111-111-1-111-1-11111-11-1
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200000-2-20000000022-200-200-2-2-2-2000000-2-222002200000000000000000
χ18222222-2-222222200222200-2-2-2-200000-2-2000000002-2-200200-2-22200000022-2-2002-200000000000000000
χ19222222-2-222222200222200-2-2-2-200000-2-200000000-22200-20022-2-200000022-2-200-2200000000000000000
χ20222222-2-222222200222200-2-2-2-200000-2-200000000-2-22002002222000000-2-22200-2-200000000000000000
χ2122222-1222-12-12-122-1-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10200022200-1-1-1-12-1-1-10000020-10200-1-100-1-100000-10
χ2222222-1222-12-12-122-1-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-2000-2-2-20011-1-12-1-1-100000-2010-2001100110000010
χ2322222-1222-12-12-122-1-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110200022200-1-1-1-1-211100000-20-10-200-1-100110000010
χ2422222-1222-12-12-122-1-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-2000-2-2-20011-1-1-21110000020102001100-1-100000-10
χ2522222-1222-12-12-1-2-2-1-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1020002-2-200-1-111-211100000-20-102001100-1-10000010
χ2622222-1222-12-12-1-2-2-1-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-2000-222001111-2111000002010-200-1-1001100000-10
χ2722222-1222-12-12-1-2-2-1-1-1-1-2-22-12-12-2-211-1-1-2-2111111020002-2-200-1-1112-1-1-10000020-10-20011001100000-10
χ2822222-1222-12-12-1-2-2-1-1-1-1-2-22-12-12-2-211-1-1-2-21111110-2000-2220011112-1-1-100000-2010200-1-100-1-10000010
χ292222-1222-12-12-1222-1-1-1-122-12-122-1-122-1-1-1-122-1-1-1-120222000-1-100-1-1-12-1-1000020-1020-1-100-1-1000000-100
χ302222-1222-12-12-1222-1-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-2-2-20001100-1-1-12-1-10000-2010-20110011000000100
χ312222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-1-122-1-111-2-2111120222000-1-100-1-11-2110000-20-10-20-1-10011000000100
χ322222-1222-12-12-1222-1-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-2-2-20001100-1-11-21100002010201100-1-1000000-100
χ332222-1222-12-12-12-2-2-1-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1202-2-2000-1-100111-2110000-20-10201100-1-1000000100
χ342222-1222-12-12-12-2-2-1-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-20-2220001100111-21100002010-20-1-10011000000-100
χ352222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12211-2-2-1-111-2-21111202-2-2000-1-10011-12-1-1000020-10-20110011000000-100
χ362222-1222-12-12-12-2-2-1-1-1-1-2-2-12-12211-2-2-1-111-2-21111-20-222000110011-12-1-10000-201020-1-100-1-1000000100
χ372-2-22222-2-2-2-2-2222-22-22-200-2-22202-22-22-2000000000000000000002-200002-22-2000000000000002-200000
χ382-2-22222-2-2-2-2-2222-22-22-200-2-22202-22-22-2000000000000000000002-20000-22-2200000000000000-2200000
χ392-2-22222-2-2-2-2-222-222-22-200-2-2220-22-222-200000000000000000000-2200002-22-200000000000000-2200000
χ402-2-22222-2-2-2-2-222-222-22-200-2-2220-22-222-200000000000000000000-220000-22-22000000000000002-200000
χ412-2-2222-22-2-2-2-222002-22-20022-2-200000-22000000000002-202-200000000002-2-220000002-22-200000000000
χ422-2-2222-22-2-2-2-222002-22-20022-2-200000-22000000000002-20-220000000000-222-20000002-2-2200000000000
χ432-2-2222-22-2-2-2-222002-22-20022-2-200000-2200000000000-2202-20000000000-222-2000000-222-200000000000
χ442-2-2222-22-2-2-2-222002-22-20022-2-200000-2200000000000-220-2200000000002-2-22000000-22-2200000000000
χ4544444-2-4-44-24-24-200-2-2-2-200-42-4200000220000000004000-40000220000000000000-200000000000000000
χ4644444-2-4-44-24-24-200-2-2-2-200-42-420000022000000000-400040000-2-20000000000000200000000000000000
χ474444-24-4-4-24-24-2400-2-2-2-2002-42-400000220000000040-4000002200000000000000-2000000000000000000
χ484444-24-4-4-24-24-2400-2-2-2-2002-42-4000002200000000-40400000-2-2000000000000002000000000000000000
χ494444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-2111100000000000011-2-2110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000001122-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-21111000000000000-1-122-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-1000000000000-1-1-2-2110000000000000000000000000
χ5344-4-44400-4-444-4-4004-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5444-4-44400-4-444-4-4004-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ554-44-4440044-4-4-4-40044-4-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ564-44-4440044-4-4-4-40044-4-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ574-44-44-2004-2-42-4200-2-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000000023−230000000000000000000000i6−i60000000
χ584-44-44-2004-2-42-4200-2-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000000000−23230000000000000000000000−i6i60000000
χ594-44-44-2004-2-42-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000000023−230000000000000000000000−i6i60000000
χ604-44-44-2004-2-42-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000000000−23230000000000000000000000i6−i60000000
χ614-44-4-2400-242-42-400-2-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000000023−230000000000000000000000i6−i6000000000
χ624-44-4-2400-242-42-400-2-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000000−23230000000000000000000000−i6i6000000000
χ634-44-4-2400-242-42-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000000023−230000000000000000000000−i6i6000000000
χ644-44-4-2400-242-42-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000000−23230000000000000000000000i6−i6000000000
χ654-4-444-24-4-42-424-24-4-22-2200-424-204-4-22-2200000000000000000000-2200000000000000000000000000000
χ664-4-444-24-4-42-424-2-44-22-2200-424-20-442-2-22000000000000000000002-200000000000000000000000000000
χ674-4-444-2-44-42-424-200-22-22004-2-42000002-2000000000000004-40000000000000000000000-2200000000000
χ684-4-444-2-44-42-424-200-22-22004-2-42000002-200000000000000-4400000000000000000000002-200000000000
χ694-4-44-244-42-42-4-244-4-22-22002-4-240-224-4-2200000000000000000000-2200000000000000000000000000000
χ704-4-44-244-42-42-4-24-44-22-22002-4-2402-2-44-22000000000000000000002-200000000000000000000000000000
χ714-4-44-24-442-42-4-2400-22-2200-242-4000002-2000000000004-400000000000000000000000-220000000000000
χ724-4-44-24-442-42-4-2400-22-2200-242-4000002-200000000000-44000000000000000000000002-20000000000000
χ734-4-44-2-24-42222-2-24-41-11-10022-2-20-22-221-100003i−3i3i−3i0000000000001-1003i−3i0000000000000000000000000
χ744-4-44-2-24-42222-2-24-41-11-10022-2-20-22-221-10000−3i3i−3i3i0000000000001-100−3i3i0000000000000000000000000
χ754-4-44-2-24-42222-2-2-441-11-10022-2-202-22-21-100003i−3i3i−3i000000000000-1100−3i3i0000000000000000000000000
χ764-4-44-2-24-42222-2-2-441-11-10022-2-202-22-21-10000−3i3i−3i3i000000000000-11003i−3i0000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-88-400-848-4-8400-444-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-48004-8-484-800-444-40000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-40044-4-444002-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ8188-8-8-4-40044-4-444002-2-2200000000000000000−323232−320000000000000000000000000000000000000000000
χ828-88-8-4-400-4-444440022-2-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ838-88-8-4-400-4-444440022-2-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4002-22-200-4-44400000-22000000000000000000000000000000000000000000000000000

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