Finite Group Databasebeta

← Group #11878575

Character table — Group #11878575

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order122233446666662346661212121224666666121212121212121222446612126661212122444688121212121224242424888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-11-1-111-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-111-1-1111-1-11111111111111-1-1-1-1-1-11-11-11-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-111-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1-1-1
χ7111111111111111111111111-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1111111-1-1
χ8111111111111111111111111-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1111111-1-1-1-1-1-111
χ911111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-11-11-11111111-1-1-11-1-11-11-1-1-1-11111-1-111-1-11-11-1
χ1011111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-11-11-11111111-1-1-1-1-111-1-11-1-1-111-1-111-1-111-11-11
χ1111111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-1-11-11-1-1-1-1111-1-1-111-1-111-1111-1-111-1-1-1-1111-1-11
χ1211111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-1-11-11-1-1-1-1111-1-1-1-111-11-11111-1-1-1-11111-1-1-111-1
χ1311111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-11-11-11111-1-1-111111-1-1-1-1111-1-1-1-1-111-1-1111-11-1
χ1411111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-11-11-11111-1-1-1111-111-1-11-111-1-1-111-1-111-1-1-11-11
χ1511111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-1-11-11-1-1-1-1-1-1-11111-1-111-11-1-1111-1-11111-1-11-1-11
χ1611111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-1-11-11-1-1-1-1-1-1-1111-1-11111-1-1-111111-1-1-1-111-111-1
χ17222222-2-222222222-2222-2-2-2-200220022-200-2-2-2-2-22-2-2222-2-20000000000-20000200000000000000
χ18222222-2-222222222-2222-2-2-2-200220022-200-2-2-2-2-2-222-2-2-222000000000020000-200000000000000
χ19222222-2-2222222-222222-2-2-2-200-2-200-2-22002-2-22222-2-222-2-2000000000020000-200000000000000
χ20222222-2-2222222-222222-2-2-2-200-2-200-2-22002-2-222-2-222-2-2220000000000-20000200000000000000
χ2122222-1222-1-1-1222-12-1-1-1-122-1222-122-1-1-1222-1-1-1-100000000-1-1-1-1-1-1202002200000-1-1-1-10000-1-100
χ2222222-1222-1-1-1222-12-1-1-1-122-1222-122-1-1-1222-1-1-1-100000000-1-1-1-1-1-1-20-200-2-200000111100001100
χ2322222-1222-1-1-1222-12-1-1-1-122-1-2-22-1-2-2-1-1-1-2-22-1-1-1-10000000011111120200-2-20000011110000-1-100
χ2422222-1222-1-1-1222-12-1-1-1-122-1-2-22-1-2-2-1-1-1-2-22-1-1-1-100000000111111-20-2002200000-1-1-1-100001100
χ2522222-1222-1-1-122-2-1-2-1-1-1-122-12-2-2122111-2-2-2-1-11100000000-1-1-111120-2002-200000-1-1110000-1100
χ2622222-1222-1-1-122-2-1-2-1-1-1-122-12-2-2122111-2-2-2-1-11100000000-1-1-1111-20200-220000011-1-100001-100
χ2722222-1222-1-1-122-2-1-2-1-1-1-122-1-22-21-2-211122-2-1-11100000000111-1-1-120-200-220000011-1-10000-1100
χ2822222-1222-1-1-122-2-1-2-1-1-1-122-1-22-21-2-211122-2-1-11100000000111-1-1-1-202002-200000-1-11100001-100
χ292222-1222-1222-1-12-12-1-1-12-1-1222-12-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-12-1-12-1-10202-100-1-1-1-1-1000000000000
χ302222-1222-1222-1-12-12-1-1-12-1-1222-12-1-1-1-12-1-1-1-1-1-1-1-2-2-2-211112-1-12-1-10-20-210011111000000000000
χ312222-1222-1222-1-12-12-1-1-12-1-12-2-2-1211-1-1211-1-1-1-1-12222-1-1-1-1-211-2110-20-2-10011-111000000000000
χ322222-1222-1222-1-12-12-1-1-12-1-12-2-2-1211-1-1211-1-1-1-1-1-2-2-2-21111-211-2110202100-1-11-1-1000000000000
χ332222-1222-1222-1-1-2-1-2-1-1-12-1-122-21-2-1-111-2111-1-1112-22-2-1-1-1-12-1-1-2110-202100111-1-1000000000000
χ342222-1222-1222-1-1-2-1-2-1-1-12-1-122-21-2-1-111-2111-1-111-22-2211112-1-1-211020-2-100-1-1-111000000000000
χ352222-1222-1222-1-1-2-1-2-1-1-12-1-12-221-21111-2-1-11-1-1112-22-2-1-1-1-1-2112-1-1020-2100-1-1111000000000000
χ362222-1222-1222-1-1-2-1-2-1-1-12-1-12-221-21111-2-1-11-1-111-22-221111-2112-1-10-202-10011-1-1-1000000000000
χ372222-12-2-2-1222-1-12-1-2-1-1-1-211-200-12−i3i3-1-1-2−i3i3111112-2-22-1-1110−i3i30−i3i30000100−i3i3-1−i3i3000000000000
χ382222-12-2-2-1222-1-12-1-2-1-1-1-211-200-12−i3i3-1-1-2−i3i311111-222-211-1-10−i3i30−i3i30000-100i3−i31i3−i3000000000000
χ392222-12-2-2-1222-1-12-1-2-1-1-1-211-200-12i3−i3-1-1-2i3−i3111112-2-22-1-1110i3−i30i3−i30000100i3−i3-1i3−i3000000000000
χ402222-12-2-2-1222-1-12-1-2-1-1-1-211-200-12i3−i3-1-1-2i3−i311111-222-211-1-10i3−i30i3−i30000-100−i3i31−i3i3000000000000
χ412222-12-2-2-1222-1-1-2-12-1-1-1-211-2001-2−i3i3112i3−i3-111-1-122-2-2-1-1110−i3i30i3−i30000-100i3−i31−i3i3000000000000
χ422222-12-2-2-1222-1-1-2-12-1-1-1-211-2001-2−i3i3112i3−i3-111-1-1-2-22211-1-10−i3i30i3−i30000100−i3i3-1i3−i3000000000000
χ432222-12-2-2-1222-1-1-2-12-1-1-1-211-2001-2i3−i3112−i3i3-111-1-122-2-2-1-1110i3−i30−i3i30000-100−i3i31i3−i3000000000000
χ442222-12-2-2-1222-1-1-2-12-1-1-1-211-2001-2i3−i3112−i3i3-111-1-1-2-22211-1-10i3−i30−i3i30000100i3−i3-1−i3i3000000000000
χ4544444-2-4-44-2-2-2444-2-4-2-2-22-4-42004-200-2-2200-4222200000000000000000000000000000000000000
χ4644444-2-4-44-2-2-244-4-24-2-2-22-4-4200-420022-200422-2-200000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414111-2-2-2-244-2-2-2-211-2-2-2-2111100000000-211-211000000000000000000000000
χ484444-2-244-2-2-2-2-2-2414111-2-2-2-2-4-4-2-22211-222-21111000000002-1-12-1-1000000000000000000000000
χ494444-2-244-2-2-2-2-2-2-41-4111-2-2-2-24-422-2-2-1-1222211-1-100000000-2112-1-1000000000000000000000000
χ504444-2-244-2-2-2-2-2-2-41-4111-2-2-2-2-442222-1-12-2-2211-1-1000000002-1-1-211000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4111222200-2-2−2i32i3112−2i32i32-1-1-1-1000000000i3−i30i3−i3000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4111222200-2-22i3−2i31122i3−2i32-1-1-1-1000000000−i3i30−i3i3000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-41411122220022−2i32i3-1-1-22i3−2i3-2-1-111000000000i3−i30−i3i3000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-414111222200222i3−2i3-1-1-2−2i32i3-2-1-111000000000−i3i30i3−i3000000000000000000000000
χ5544-4-44400-44-4-44-4040-44-400000000000000000000000000000000000000000000000000−2i22i2000000
χ5644-4-44400-44-4-44-4040-44-4000000000000000000000000000000000000000000000000002i2−2i2000000
χ574-44-444004-4-44-4-40404-4-40000000000000000000000000000000000000000000000000000−2i22i20000
χ584-44-444004-4-44-4-40404-4-400000000000000000000000000000000000000000000000000002i2−2i20000
χ594-4-44444-4-4-44-4-44040-4-44-44-440000000000004-40000000000000000000000000000000000000000
χ604-4-4444-44-4-44-4-44040-4-444-44-4000000000000-440000000000000000000000000000000000000000
χ614-4-444-24-4-42-22-440-2022-224-4-2000000000000-220000000000000000000000000000−2i32i30000000000
χ624-4-444-24-4-42-22-440-2022-224-4-2000000000000-2200000000000000000000000000002i3−2i30000000000
χ634-4-444-2-44-42-22-440-2022-2-2-4420000000000002-200000000000000000000000000000023−2300000000
χ644-4-444-2-44-42-22-440-2022-2-2-4420000000000002-2000000000000000000000000000000−232300000000
χ654-4-44-244-42-44-42-20-2022-2-4-224000000000000-22000000−2i32i3−2i32i3000000000000000000000000000000
χ664-4-44-244-42-44-42-20-2022-2-4-224000000000000-220000002i3−2i32i3−2i3000000000000000000000000000000
χ674-4-44-24-442-44-42-20-2022-242-2-40000000000002-2000000−2i32i32i3−2i3000000000000000000000000000000
χ684-4-44-24-442-44-42-20-2022-242-2-40000000000002-20000002i3−2i3−2i32i3000000000000000000000000000000
χ6988-8-88-400-8-4448-80-404-440000000000000000000000000000000000000000000000000000000000
χ7088-8-8-480048-8-8-440-404-440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-4004-444-44020-22-200000000006-60000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-444-44020-22-20000000000-660000000000000000000000000000000000000000000000
χ738-88-88-400844-4-8-80-40-4440000000000000000000000000000000000000000000000000000000000
χ748-88-8-4800-4-8-88440-40-4440000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400-444-4440202-2-20000000000000000006i−6i00000000000000000000000000000000000000
χ768-88-8-4-400-444-4440202-2-2000000000000000000−6i6i00000000000000000000000000000000000000
χ778-8-88-4-48-844-444-4020-2-224-44-40000000000002-20000000000000000000000000000000000000000
χ788-8-88-4-4-8844-444-4020-2-22-44-44000000000000-220000000000000000000000000000000000000000

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