Finite Group Databasebeta

← Group #11878481

Character table — Group #11878481

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order1222334466666623466612121212246666661212121212121212224466121266612121244446881212121212242424248888121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-11-11-111-1-1-1-1-11111-1-1-1-111-1-1
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
χ5111111111111111111111111-1-111-1-1111-1-11111111111111-1-1-1-1-1-1-11-111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
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
χ8111111111111111111111111-1-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1111111-1-1-1-1-1-111
χ911111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-11-11-11111111-1-1-111-1-1-11-1-1-1-11111-1-111-1-11-1-11
χ1011111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-11-11-11111111-1-1-11-1-11-1-11-1-1-111-1-111-1-111-111-1
χ1111111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-1-11-11-1-1-1-1111-1-1-1-111-111-1111-1-111-1-1-1-1111-11-1
χ1211111111111111-11-111111111-1-1-111-1-1-1-1-1-111-1-1-11-11-1-1-1-1111-1-1-1-1-1111-11111-1-1-1-11111-1-1-11-11
χ1311111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-11-11-11111-1-1-1111-111-1-1-1111-1-1-1-1-111-1-1111-1-11
χ1411111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-11-11-11111-1-1-1111-1-111-11-111-1-1-111-1-111-1-1-111-1
χ1511111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-1-11-11-1-1-1-1-1-1-111111-1-11-11-1-1111-1-11111-1-11-11-1
χ1611111111111111-11-11111111-11-1-1-1-1-1-1-111-111-1-1-11-11-1-1-1-1-1-1-11111-1-1111-1-1-111111-1-1-1-111-11-11
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
χ2122222-1222-122-1-12-12-1-1-12-1-12222-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-12-1-12-1-12020-100-1-1-1-1-1000000000000
χ2222222-1222-122-1-12-12-1-1-12-1-12222-1-1-1-1-12-1-1-1-1-1-1-1-2-2-2-211112-1-12-1-1-20-2010011111000000000000
χ2322222-1222-122-1-12-12-1-1-12-1-12-2-22-111-1-1211-1-1-1-1-12222-1-1-1-1-211-211-20-20-10011-111000000000000
χ2422222-1222-122-1-12-12-1-1-12-1-12-2-22-111-1-1211-1-1-1-1-1-2-2-2-21111-211-2112020100-1-11-1-1000000000000
χ2522222-1222-122-1-1-2-1-2-1-1-12-1-122-2-21-1-111-2111-1-1112-22-2-1-1-1-12-1-1-21120-20100111-1-1000000000000
χ2622222-1222-122-1-1-2-1-2-1-1-12-1-122-2-21-1-111-2111-1-111-22-2211112-1-1-211-2020-100-1-1-111000000000000
χ2722222-1222-122-1-1-2-1-2-1-1-12-1-12-22-211111-2-1-11-1-1112-22-2-1-1-1-1-2112-1-1-2020100-1-1111000000000000
χ2822222-1222-122-1-1-2-1-2-1-1-12-1-12-22-211111-2-1-11-1-111-22-221111-2112-1-120-20-10011-1-1-1000000000000
χ2922222-1-2-22-122-1-12-1-2-1-1-1-211-2002-1−i3i3-1-1-2−i3i3111112-2-22-1-1110−i3i30−i3i30000100−i3i3-1−i3i3000000000000
χ3022222-1-2-22-122-1-12-1-2-1-1-1-211-2002-1−i3i3-1-1-2−i3i311111-222-211-1-10−i3i30−i3i30000-100i3−i31i3−i3000000000000
χ3122222-1-2-22-122-1-12-1-2-1-1-1-211-2002-1i3−i3-1-1-2i3−i3111112-2-22-1-1110i3−i30i3−i30000100i3−i3-1i3−i3000000000000
χ3222222-1-2-22-122-1-12-1-2-1-1-1-211-2002-1i3−i3-1-1-2i3−i311111-222-211-1-10i3−i30i3−i30000-100−i3i31−i3i3000000000000
χ3322222-1-2-22-122-1-1-2-12-1-1-1-211-200-21−i3i3112i3−i3-111-1-122-2-2-1-1110−i3i30i3−i30000-100i3−i31−i3i3000000000000
χ3422222-1-2-22-122-1-1-2-12-1-1-1-211-200-21−i3i3112i3−i3-111-1-1-2-22211-1-10−i3i30i3−i30000100−i3i3-1i3−i3000000000000
χ3522222-1-2-22-122-1-1-2-12-1-1-1-211-200-21i3−i3112−i3i3-111-1-122-2-2-1-1110i3−i30−i3i30000-100−i3i31i3−i3000000000000
χ3622222-1-2-22-122-1-1-2-12-1-1-1-211-200-21i3−i3112−i3i3-111-1-1-2-22211-1-10i3−i30−i3i30000100i3−i3-1−i3i3000000000000
χ372222-1222-12-1-1222-12-1-1-1-122-122-1222-1-1-1222-1-1-1-100000000-1-1-1-1-1-1020202200000-1-1-1-10000-1-100
χ382222-1222-12-1-1222-12-1-1-1-122-122-1222-1-1-1222-1-1-1-100000000-1-1-1-1-1-10-20-20-2-200000111100001100
χ392222-1222-12-1-1222-12-1-1-1-122-1-2-2-12-2-2-1-1-1-2-22-1-1-1-10000000011111102020-2-20000011110000-1-100
χ402222-1222-12-1-1222-12-1-1-1-122-1-2-2-12-2-2-1-1-1-2-22-1-1-1-1000000001111110-20-202200000-1-1-1-100001100
χ412222-1222-12-1-122-2-1-2-1-1-1-122-12-21-222111-2-2-2-1-11100000000-1-1-1111020-202-200000-1-1110000-1100
χ422222-1222-12-1-122-2-1-2-1-1-1-122-12-21-222111-2-2-2-1-11100000000-1-1-11110-2020-220000011-1-100001-100
χ432222-1222-12-1-122-2-1-2-1-1-1-122-1-221-2-2-211122-2-1-11100000000111-1-1-1020-20-220000011-1-10000-1100
χ442222-1222-12-1-122-2-1-2-1-1-1-122-1-221-2-2-211122-2-1-11100000000111-1-1-10-20202-200000-1-11100001-100
χ454444-24-4-4-24-2-2444-2-4-2-2-22-4-4200-2400-2-2200-4222200000000000000000000000000000000000000
χ464444-24-4-4-24-2-244-4-24-2-2-22-4-42002-40022-200422-2-200000000000000000000000000000000000000
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
χ5544-4-4440044-4-4-4-40404-4-4000000000000000000000000000000000000000000000000000022−220000
χ5644-4-4440044-4-4-4-40404-4-40000000000000000000000000000000000000000000000000000−22220000
χ574-44-4444-4-4-44-4-44040-44-4-44-440000000000004-40000000000000000000000000000000000000000
χ584-44-444-44-4-44-4-44040-44-44-44-4000000000000-440000000000000000000000000000000000000000
χ594-44-44-24-4-424-42-20-202-22-4-224000000000000-22000000−2i32i3−2i32i3000000000000000000000000000000
χ604-44-44-24-4-424-42-20-202-22-4-224000000000000-220000002i3−2i32i3−2i3000000000000000000000000000000
χ614-44-44-2-44-424-42-20-202-2242-2-40000000000002-2000000−2i32i32i3−2i3000000000000000000000000000000
χ624-44-44-2-44-424-42-20-202-2242-2-40000000000002-20000002i3−2i3−2i32i3000000000000000000000000000000
χ634-44-4-244-42-4-22-440-202-2224-4-2000000000000-220000000000000000000000000000−2i32i30000000000
χ644-44-4-244-42-4-22-440-202-2224-4-2000000000000-2200000000000000000000000000002i3−2i30000000000
χ654-44-4-24-442-4-22-440-202-22-2-4420000000000002-200000000000000000000000000000023−2300000000
χ664-44-4-24-442-4-22-440-202-22-2-4420000000000002-2000000000000000000000000000000−232300000000
χ674-4-444400-4-4-444-4040-4-440000000000000000000000000000000000000000000000000022−22000000
χ684-4-444400-4-4-444-4040-4-4400000000000000000000000000000000000000000000000000−2222000000
χ6988-8-88-4008-4-8-8440-40-4440000000000000000000000000000000000000000000000000000000000
χ7088-8-8-4800-4844-8-80-40-4440000000000000000000000000000000000000000000000000000000000
χ7188-8-8-4-400-4-444440202-2-20000000000000000006i−6i00000000000000000000000000000000000000
χ7288-8-8-4-400-4-444440202-2-2000000000000000000−6i6i00000000000000000000000000000000000000
χ738-88-8-4-48-844-444-4020-22-24-44-40000000000002-20000000000000000000000000000000000000000
χ748-88-8-4-4-8844-444-4020-22-2-44-44000000000000-220000000000000000000000000000000000000000
χ758-8-888-400-84-88-440-4044-40000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-84-48-80-4044-40000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400444-4-44020-2-2200000000006-60000000000000000000000000000000000000000000000
χ788-8-88-4-400444-4-44020-2-220000000000-660000000000000000000000000000000000000000000000

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