Finite Group Databasebeta

← Group #11878536

Character table — Group #11878536

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order12223344666666366688121212122424242444121212122424242424242244666688121224242424121212121212122444812121224242461212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-1111111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-111111111-1-11111111-1-11-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ61111111111111111111111111111-1-1-1-1111111111-11-111-1-111111111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11-1-111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-11111-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11
χ9111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-111111111-1-111-1-1-1-11-1-111-1-1-11-11-1111-1-111-11-11-1-1
χ10111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11-1-111-1-111-1-11-1-1-111-1-111-1-111
χ11111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-11-11-1-11111-1-111111-1-111-1-1-1-111-1111-1-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-11-11-11-1-1-111111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-111-1-1111-11-1-11-1-1-1-1111-11-11-1
χ14111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-111-1-111-1-1111-11111-1-1-1-111-11
χ15111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-11-11-1-11111-1-11111-111-1-11111-1-1-11-1-1-1-1-1-111-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-11-111-1111111-11-1-11-1
χ17222222-2-2222222222200-2-2-2-200000000-2-200000022-2-2222200-2-20000000000000000-20000-22000000
χ18222222-2-2222222222200-2-2-2-200000000-2-20000002-2-2222-2-200-2-20000000000000000200002-2000000
χ19222222-2-2222222222200-2-2-2-200000000-2-2000000-222-2-2-22200220000000000000000-200002-2000000
χ20222222-2-2222222222200-2-2-2-200000000-2-2000000-2-222-2-2-2-20022000000000000000020000-22000000
χ2122222-1222-12-1-12-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1020200-1-10000000022-1-1-1-1-120022-1-1-1-1-100-100000
χ2222222-1222-12-1-12-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10-20-200110000000022-1-1-1-1-1-200-2-21111100100000
χ2322222-1222-12-1-12-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-1020200-1-100000000-2-211111-200-22-111-1-100100000
χ2422222-1222-12-1-12-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10-20-2001100000000-2-2111112002-21-1-11100-100000
χ2522222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-1111111020200-1-1000000002-21-1-111-2002-2-1-1-11100100000
χ2622222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111110-20-20011000000002-21-1-111200-22111-1-100-100000
χ2722222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-1111111020200-1-100000000-22-111-1-1200-2-2-1111100-100000
χ2822222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111110-20-2001100000000-22-111-1-1-200221-1-1-1-100100000
χ292222-1222-12-122-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-12020-1-10022-1-1-1-1-1-1-1-12-1-1-1-10220000000000-1-1000
χ302222-1222-12-122-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1-20-201100-2-2111111-1-12-1-1-1-10-2-2000000000011000
χ312222-1222-12-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-12020-1-10022-1-1-1-1-1-111-211110-2-2000000000011000
χ322222-1222-12-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20-201100-2-211111111-211110220000000000-1-1000
χ332222-1222-12-122-1-1-1-1-1-2-2-122-111112-222-1-1-2-211112020-1-100-2-2-1-11111-11-2-1-11102-20000000000-11000
χ342222-1222-12-122-1-1-1-1-1-2-2-122-111112-222-1-1-2-21111-20-2011002211-1-1-1-1-11-2-1-1110-2200000000001-1000
χ352222-1222-12-122-1-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-211112020-1-100-2-2-1-111111-1211-1-10-2200000000001-1000
χ362222-1222-12-122-1-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-21111-20-2011002211-1-1-1-11-1211-1-102-20000000000-11000
χ3744444-2-4-44-24-2-24-2-2-2-200-422-40000000022000000040-400-2-2000000000000000000002000000000000
χ3844444-2-4-44-24-2-24-2-2-2-200-422-400000000220000000-404002200000000000000000000-2000000000000
χ394444-24-4-4-24-244-2-2-2-2-2002-4-42000000002200000040-40-2-200002200000000000000000000000000000
χ404444-24-4-4-24-244-2-2-2-2-2002-4-420000000022000000-4040220000-2-200000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-244-2-211-2-211110000000000000000-2-2-21111000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2-4-42211-2-211110000000000000000222-1-1-1-1000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4-2-21122-1-1-1-10000000000000000-22211-1-1000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44221122-1-1-1-100000000000000002-2-2-1-111000000000000000000
χ4544-4-4440044-4-4-4-444-4-400000000000000000000000000000022−22002222−22−220000000000000000000000000
χ4644-4-4440044-4-4-4-444-4-4000000000000000000000000000000−222200−22−2222220000000000000000000000000
χ4744-4-4-2400-242-4-42-2-222000000i6i6−i6−i600000000i6i6−i6−i60000−2i32i30022−2200−2−2220000000000000000000000000
χ4844-4-4-2400-242-4-42-2-222000000i6i6−i6−i600000000i6i6−i6−i600002i3−2i300−22220022−2−20000000000000000000000000
χ4944-4-4-2400-242-4-42-2-222000000−i6−i6i6i600000000−i6−i6i6i60000−2i32i300−22220022−2−20000000000000000000000000
χ5044-4-4-2400-242-4-42-2-222000000−i6−i6i6i600000000−i6−i6i6i600002i3−2i30022−2200−2−2220000000000000000000000000
χ514-44-44400-4-44-44-44-4-4422−22000022−2222−2200000022−2222−2222−2200000000000000000000000000000000000000000
χ524-44-44400-4-44-44-44-4-44−22220000−2222−2222000000−2222−2222−222200000000000000000000000000000000000000000
χ534-44-44-200-4242-2-4-222-222−22000022−2222−22000000−22−22−22000000−2i32i300000000000000000000000i6−i600000000
χ544-44-44-200-4242-2-4-222-222−22000022−2222−22000000−22−22−220000002i3−2i300000000000000000000000−i6i600000000
χ554-44-44-200-4242-2-4-222-2−22220000−2222−22220000002−22−22−2000000−2i32i300000000000000000000000−i6i600000000
χ564-44-44-200-4242-2-4-222-2−22220000−2222−22220000002−22−22−20000002i3−2i300000000000000000000000i6−i600000000
χ574-44-4-24002-4-2-442-222-222−220000−22−2200000022−22−22−22000000000023−236−66−60000000000000000000000000
χ584-44-4-24002-4-2-442-222-222−220000−22−2200000022−22−22−220000000000−2323−66−660000000000000000000000000
χ594-44-4-24002-4-2-442-222-2−222200002−22−2000000−22222−22−2000000000023−23−66−660000000000000000000000000
χ604-44-4-24002-4-2-442-222-2−222200002−22−2000000−22222−22−20000000000−23236−66−60000000000000000000000000
χ614-4-44444-4-4-4-44-444-44-400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-4444-44-4-4-44-444-44-4004-44-4000000004-400000000000000000000000000000000000000000000000
χ634-4-444-24-4-42-4-224-22-2200-4-22400000023−232-2000000000000000000000000023−2300000000000000000000
χ644-4-444-24-4-42-4-224-22-2200-4-224000000−23232-20000000000000000000000000−232300000000000000000000
χ654-4-444-2-44-42-4-224-22-220042-2-400000000-220000000000000000000000000000000000023−230000000000
χ664-4-444-2-44-42-4-224-22-220042-2-400000000-2200000000000000000000000000000000000−23230000000000
χ674-4-44-244-42-424-4-2-22-220024-4-2−2i32i32i3−2i300002-200−2i32i32i3−2i300000000000000000000000000000000000000000
χ684-4-44-244-42-424-4-2-22-220024-4-22i3−2i3−2i32i300002-2002i3−2i3−2i32i300000000000000000000000000000000000000000
χ694-4-44-24-442-424-4-2-22-2200-2-44200000000-2200000000000000000023−23−23230000000000000000000000000
χ704-4-44-24-442-424-4-2-22-2200-2-44200000000-22000000000000000000−232323−230000000000000000000000000
χ714-4-44-2-24-4222-22-21-11-1002-22-2−2i32i32i3−2i30023−23-1100i3−i3−i3i30000000000000000000−333i−3i000000000000000000
χ724-4-44-2-24-4222-22-21-11-1002-22-2−2i32i32i3−2i300−2323-1100i3−i3−i3i300000000000000000003−3−3i3i000000000000000000
χ734-4-44-2-24-4222-22-21-11-1002-22-22i3−2i3−2i32i30023−23-1100−i3i3i3−i30000000000000000000−33−3i3i000000000000000000
χ744-4-44-2-24-4222-22-21-11-1002-22-22i3−2i3−2i32i300−2323-1100−i3i3i3−i300000000000000000003−33i−3i000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7688-8-88-4008-4-844-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4-4444422-2-20000002i62i6−2i6−2i600000000−i6−i6i6i600000000000000000000000000000000000000000
χ7888-8-8-4-400-4-4444422-2-2000000−2i6−2i62i62i600000000i6i6−i6−i600000000000000000000000000000000000000000
χ798-88-8-4-40044-44-442-2-2242−420000−2222−2222000000−22222−22−200000000000000000000000000000000000000000
χ808-88-8-4-40044-44-442-2-22−4242000022−2222−2200000022−22−22−2200000000000000000000000000000000000000000
χ818-8-88-4-4-88444-44-42-22-200-44-44000000002-200000000000000000000000000000000000000000000000

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