Finite Group Databasebeta

← Group #11778140

Character table — Group #11778140

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222244444444444488888888888888812121212121216161616161624242424242424242424242424242424242424242472727272
order122222336666663446666666121244661212121212121212121212441212121212121212121222444666688121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1111-1-111-1-11111111111-1-1-1-1-1-111-11-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1111-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-11111-1-111
χ711111111111111111111111111-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111111-1-111-1-111-1-1-1-1-1-111
χ811111111111111111111111111-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111111111-1-1
χ9222222222222222-2-22222222-2-20022-200-2-200-2-2-2-2222222000000000-2000000000-2-20000000000
χ10222222222222222-2-22222222-2-20022-200-2-200-2-2-2-2-2-2-2-2-2-20000000002000000000220000000000
χ112222222-1-1-1-1222-12222-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1000000-1-1-1-1-1-122000-1-1-1-122000000-1-1-1-10000
χ122222222-1-1-1-1222-12222-1-1-1-1-1-1-122-1-1-1222222-1-1-1-1000000-1-1-1-1-1-1-2-20001111-2-200000011110000
χ132222222-1-1-1-1222-12222-1-1-1-1-1-1-1-2-2-1-1-1-2-222-2-2-1-1-1-100000011111122000-1-1-1-1-2-200000011110000
χ142222222-1-1-1-1222-12222-1-1-1-1-1-1-1-2-2-1-1-1-2-222-2-2-1-1-1-1000000111111-2-2000111122000000-1-1-1-10000
χ15222222-12222-1-1-1-122-1-122-1-1-12222-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100222000000-1-1-1-1-1-100000000
χ16222222-12222-1-1-1-122-1-122-1-1-12222-1-12-1-1-1-1-1-1-1-1-1-1-2-2111122-1-1-1-100-2-2-200000011111100000000
χ17222222-12222-1-1-1-122-1-122-1-1-122-2-2-1-1211-1-111-1-1-1-122-1-1-1-1-2-2111100-22-200000011-1-11100000000
χ18222222-12222-1-1-1-122-1-122-1-1-122-2-2-1-1211-1-111-1-1-1-1-2-21111-2-21111002-22000000-1-111-1-100000000
χ19222222-12222-1-1-1-1-2-2-1-122-1-1-1-2-200-1-1-2−i3i311−i3i3111122-1-1-1-100−i3i3−i3i3000-20000000−i3i311−i3i300000000
χ20222222-12222-1-1-1-1-2-2-1-122-1-1-1-2-200-1-1-2−i3i311−i3i31111-2-2111100−i3i3−i3i300020000000i3−i3-1-1i3−i300000000
χ21222222-12222-1-1-1-1-2-2-1-122-1-1-1-2-200-1-1-2i3−i311i3−i3111122-1-1-1-100i3−i3i3−i3000-20000000i3−i311i3−i300000000
χ22222222-12222-1-1-1-1-2-2-1-122-1-1-1-2-200-1-1-2i3−i311i3−i31111-2-2111100i3−i3i3−i300020000000−i3i3-1-1−i3i300000000
χ232222-2-22222222222-2-2-2-2-2222222-2-2-2-2222-2-2-222-2-20000002-222-2-20000000000000000000000000
χ242222-2-22222222222-2-2-2-2-222222-22-2-2-2-2-22-22222-2-2000000-22-2-2220000000000000000000000000
χ252222-2-2222222222-22-2-2-2-2222-2-200-2-2200-2200-2-2220000000000000020-20000002200-2-200000000
χ262222-2-2222222222-22-2-2-2-2222-2-200-2-2200-2200-2-22200000000000000-202000000-2-2002200000000
χ272222-2-22-1-1-1-1222-12-2-2-211-1-1-1-1-12-2111222-2-2-2-1-111000000-11-1-11100000−i3−i3i3i300000000−i3−i3i3i30000
χ282222-2-22-1-1-1-1222-12-2-2-211-1-1-1-1-12-2111222-2-2-2-1-111000000-11-1-11100000i3i3−i3−i300000000i3i3−i3−i30000
χ292222-2-22-1-1-1-1222-12-2-2-211-1-1-1-1-1-22111-2-22-222-1-1110000001-111-1-100000−i3−i3i3i300000000i3i3−i3−i30000
χ302222-2-22-1-1-1-1222-12-2-2-211-1-1-1-1-1-22111-2-22-222-1-1110000001-111-1-100000i3i3−i3−i300000000−i3−i3i3i30000
χ312222-2-2-12222-1-1-1-12-211-2-2-1-1-1222-211-2-1-1-1111-1-11100−i3−i3i3i32-2-1-11100000000000−i3i3−i3i3i3−i300000000
χ322222-2-2-12222-1-1-1-12-211-2-2-1-1-1222-211-2-1-1-1111-1-11100i3i3−i3−i32-2-1-11100000000000i3−i3i3−i3−i3i300000000
χ332222-2-2-12222-1-1-1-12-211-2-2-1-1-122-2211-211-11-1-1-1-11100−i3−i3i3i3-2211-1-100000000000i3−i3−i3i3−i3i300000000
χ342222-2-2-12222-1-1-1-12-211-2-2-1-1-122-2211-211-11-1-1-1-11100i3i3−i3−i3-2211-1-100000000000−i3i3i3−i3i3−i300000000
χ352222-2-2-12222-1-1-1-1-2211-2-2-1-1-1-2-200112−i3i31-1i3−i311-1-100−i3−i3i3i300−i3i3i3−i30020-2000000-1-1i3−i31100000000
χ362222-2-2-12222-1-1-1-1-2211-2-2-1-1-1-2-200112−i3i31-1i3−i311-1-100i3i3−i3−i300−i3i3i3−i300-20200000011−i3i3-1-100000000
χ372222-2-2-12222-1-1-1-1-2211-2-2-1-1-1-2-200112i3−i31-1−i3i311-1-100−i3−i3i3i300i3−i3−i3i300-20200000011i3−i3-1-100000000
χ382222-2-2-12222-1-1-1-1-2211-2-2-1-1-1-2-200112i3−i31-1−i3i311-1-100i3i3−i3−i300i3−i3−i3i30020-2000000-1-1−i3i31100000000
χ3922-2-2-22222-2-22-2-22002-22-22-2-200002-2000000000002-22-22-2000000000000000−i2i2000000−i2i2−i2i200−i2i2
χ4022-2-2-22222-2-22-2-22002-22-22-2-200002-2000000000002-22-22-2000000000000000i2−i2000000i2−i2i2−i200i2−i2
χ4122-2-2-22222-2-22-2-22002-22-22-2-200002-200000000000-22-22-22000000000000000−i2i2000000−i2i2−i2i200i2−i2
χ4222-2-2-22222-2-22-2-22002-22-22-2-200002-200000000000-22-22-22000000000000000i2−i2000000i2−i2i2−i200−i2i2
χ434444444-2-2-2-2444-2-4-444-2-2-2-2-22200-2-2200-4-40022220000000000000000000000000000000000000
χ44444444-2-2-2-2-2-2-2-2144-2-2-2-2111-2-24411-2-2-2-2-2-2-21111000000-2-211110000000000000000000000000
χ45444444-2-2-2-2-2-2-2-2144-2-2-2-2111-2-2-4-411-222-2-222111100000022-1-1-1-10000000000000000000000000
χ46444444-2-2-2-2-2-2-2-21-4-4-2-2-2-21112200112−2i32i322−2i32i3-1-1-1-100000000i3−i3i3−i30000000000000000000000000
χ47444444-2-2-2-2-2-2-2-21-4-4-2-2-2-211122001122i3−2i3222i3−2i3-1-1-1-100000000−i3i3−i3i30000000000000000000000000
χ484444-4-44-2-2-2-2444-2-44-4-422-2-2-2220022-200-440022-2-20000000000000000000000000000000000000
χ494444-4-4-2-2-2-2-2-2-2-214-42222111-2-24-4-1-12-2-2-222211-1-1000000-2211-1-10000000000000000000000000
χ504444-4-4-2-2-2-2-2-2-2-214-42222111-2-2-44-1-1222-22-2-211-1-10000002-2-1-1110000000000000000000000000
χ514444-4-4-2-2-2-2-2-2-2-21-4422221112200-1-1-2−2i32i32-22i3−2i3-1-11100000000i3−i3−i3i30000000000000000000000000
χ524444-4-4-2-2-2-2-2-2-2-21-4422221112200-1-1-22i3−2i32-2−2i32i3-1-11100000000−i3i3i3−i30000000000000000000000000
χ5344-4-44-4444-4-44-4-4400-44-444-4-40000-44000000000000000000000000000000000000000000000000
χ5444-4-44-44-2-2224-4-4-200-442-2-22200002-200000000000000000000000000000000000000006−6−660000
χ5544-4-44-44-2-2224-4-4-200-442-2-22200002-20000000000000000000000000000000000000000−666−60000
χ5644-4-44-4-244-4-4-222-2002-2-44-22200002-20000000000000−2i32i32i3−2i30000000000000000000000000000000
χ5744-4-44-4-244-4-4-222-2002-2-44-22200002-200000000000002i3−2i3−2i32i30000000000000000000000000000000
χ5844-4-4-444-2-2224-4-4-2004-4-22-2220000-2200000000000000000000000000000000−2i22i2000000i2−i2i2−i20000
χ5944-4-4-444-2-2224-4-4-2004-4-22-2220000-22000000000000000000000000000000002i2−2i2000000−i2i2−i2i20000
χ6044-4-4-44-244-4-4-222-200-224-4-2220000-22000000000004-4-22-220000000000000000000000000000000
χ6144-4-4-44-244-4-4-222-200-224-4-2220000-2200000000000-442-22-20000000000000000000000000000000
χ624-44-40044-44-4-44-44000000-44-4000000000000000000000000000000000000000000000000002i−2i00
χ634-44-40044-44-4-44-44000000-44-400000000000000000000000000000000000000000000000000−2i2i00
χ644-4-440044-4-44-4-444000000-4-44000000000000000000000000000002-20002-22-20000000000000000
χ654-4-440044-4-44-4-444000000-4-4400000000000000000000000000000-22000-22-220000000000000000
χ664-4-44004-222-2-4-44-200000022-2−2i32i300000000000−2i32i3000000000000002-2000−1−i31+i3−1+i31−i30000000000000000
χ674-4-44004-222-2-4-44-200000022-2−2i32i300000000000−2i32i300000000000000-220001+i3−1−i31−i3−1+i30000000000000000
χ684-4-44004-222-2-4-44-200000022-22i3−2i3000000000002i3−2i3000000000000002-2000−1+i31−i3−1−i31+i30000000000000000
χ694-4-44004-222-2-4-44-200000022-22i3−2i3000000000002i3−2i300000000000000-220001−i3−1+i31+i3−1−i30000000000000000
χ7088-8-88-8-4-4-444-4442004-44-42-2-20000-22000000000000000000000000000000000000000000000000
χ7188-8-8-88-4-4-444-444200-44-442-2-200002-2000000000000000000000000000000000000000000000000
χ728-88-8008-44-44-88-8-40000004-44000000000000000000000000000000000000000000000000000000
χ738-88-800-48-88-84-44-40000004-44000000000000000000000000000000000000000000000000000000
χ748-88-800-4-44-444-442000000-22-20000000000000006i−6i0000000000000000000000000000000000000
χ758-88-800-4-44-444-442000000-22-2000000000000000−6i6i0000000000000000000000000000000000000
χ768-8-8800-48-8-8844-4-400000044-4000000000000000000000000000000000000000000000000000000
χ778-8-8800-4-444-444-42000000-2-22−4i34i3000000000002i3−2i3000000000000000000000000000000000000000
χ788-8-8800-4-444-444-42000000-2-224i3−4i300000000000−2i32i3000000000000000000000000000000000000000

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