Finite Group Databasebeta

← Group #13180811

Character table — Group #13180811

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1122224466668888881212161616161616182424242424242436363636367210810811222244666688888812121616161616161824242424242424363636363672108108
order12336636246633366612123336664666666124812242412282266666624666666661212666666466666612481224241228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1-1-11111111111111111111111111111111111-1-11-1-1-1-1-1
χ311111111-11-1-111111111111111-1-1-1-1-1-1-1111-1111-1-111111111-11-1-111111111111111-1-1-1-1-1-1-1111-1111-1-1
χ411111111-11-1-111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-11-1-111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111
χ5222222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1200200000222222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1200200000
χ622222222-22-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2111111200-20000022222222-22-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2111111200-200000
χ7222-1-12-1-122-1-12-1-12-1-1-122-1-12-1-1222-1-1-1-1-100-100000222-1-12-1-122-1-12-1-12-1-1-122-1-12-1-1222-1-1-1-1-100-100000
χ8222-1-12-1-122-1-1-12-1-12-1-12-12-1-12-12-1-122-1-1-100-100000222-1-12-1-122-1-1-12-1-12-1-12-12-1-12-12-1-122-1-1-100-100000
χ9222-1-12-1-122-1-1-1-12-1-12-12-1-12-1-122-1-1-1-122-100-100000222-1-12-1-122-1-1-1-12-1-12-12-1-12-1-122-1-1-1-122-100-100000
χ10222-1-12-1-1-22112-1-12-1-1-122-1-12-1-1-2-2-21111-100100000222-1-12-1-1-22112-1-12-1-1-122-1-12-1-1-2-2-21111-100100000
χ11222-1-12-1-1-2211-12-1-12-1-12-12-1-12-1-211-2-211-100100000222-1-12-1-1-2211-12-1-12-1-12-12-1-12-1-211-2-211-100100000
χ12222-1-12-1-1-2211-1-12-1-12-12-1-12-1-12-21111-2-2-100100000222-1-12-1-1-2211-1-12-1-12-12-1-12-1-12-21111-2-2-100100000
χ1322-122-1-1-102002222222-1-1-1-1-1-1-10000000-1220-1-1-10022-122-1-1-102002222222-1-1-1-1-1-1-10000000-1220-1-1-100
χ1422-122-1-1-102002222222-1-1-1-1-1-1-10000000-1-2-201110022-122-1-1-102002222222-1-1-1-1-1-1-10000000-1-2-2011100
χ15333333333-133000000-1-1000000-1000000-11-1-1-1-111-1333333333-133000000-1-1000000-1000000-11-1-1-1-111-1
χ16333333333-133000000-1-1000000-1000000-1-11-111-1-11333333333-133000000-1-1000000-1000000-1-11-111-1-11
χ1733333333-3-1-3-3000000-1-10000001000000-11-11-1-11-1133333333-3-1-3-3000000-1-10000001000000-11-11-1-11-11
χ1833333333-3-1-3-3000000-1-10000001000000-1-11111-11-133333333-3-1-3-3000000-1-10000001000000-1-11111-11-1
χ1944-244-2-2-20400-2-2-2-2-2-24-21111110000000-20000000044-244-2-2-20400-2-2-2-2-2-24-21111110000000-200000000
χ2044-2-2-2-21104004-2-24-2-2-2-2-211-211000000010000000044-2-2-2-21104004-2-24-2-2-2-2-211-2110000000100000000
χ2144-2-2-2-2110400-24-2-24-2-2-21-211-21000000010000000044-2-2-2-2110400-24-2-24-2-2-21-211-210000000100000000
χ2244-2-2-2-2110400-2-24-2-24-2-211-211-2000000010000000044-2-2-2-2110400-2-24-2-24-2-211-211-20000000100000000
χ234-444-4-44-40000111-1-1-100111-1-1-10−i3i3−i3i3−i3i30000000004-444-4-44-40000111-1-1-100111-1-1-10−i3i3−i3i3−i3i3000000000
χ244-444-4-44-40000111-1-1-100111-1-1-10i3−i3i3−i3i3−i30000000004-444-4-44-40000111-1-1-100111-1-1-10i3−i3i3−i3i3−i3000000000
χ254-444-4-44-40000-2-2-222200-2-2-222200000000000000004-444-4-44-40000-2-2-222200-2-2-22220000000000000000
χ264-44-22-4-2200−2i32i311-2-1-120011-2-1-120−i3i3i3−i3000000000004-44-22-4-2200−2i32i311-2-1-120011-2-1-120−i3i3i3−i300000000000
χ274-44-22-4-2200−2i32i31-21-12-1001-21-12-10i3−i300−i3i30000000004-44-22-4-2200−2i32i31-21-12-1001-21-12-10i3−i300−i3i3000000000
χ284-44-22-4-2200−2i32i3-2112-1-100-2112-1-1000−i3i3i3−i30000000004-44-22-4-2200−2i32i3-2112-1-100-2112-1-1000−i3i3i3−i3000000000
χ294-44-22-4-22002i3−2i311-2-1-120011-2-1-120i3−i3−i3i3000000000004-44-22-4-22002i3−2i311-2-1-120011-2-1-120i3−i3−i3i300000000000
χ304-44-22-4-22002i3−2i31-21-12-1001-21-12-10−i3i300i3−i30000000004-44-22-4-22002i3−2i31-21-12-1001-21-12-10−i3i300i3−i3000000000
χ314-44-22-4-22002i3−2i3-2112-1-100-2112-1-1000i3−i3−i3i30000000004-44-22-4-22002i3−2i3-2112-1-100-2112-1-1000i3−i3−i3i3000000000
χ324-4-24-42-220000-2-2-222200111-1-1-100000000000i6−i60004-4-24-42-220000-2-2-222200111-1-1-100000000000i6−i6000
χ334-4-24-42-220000-2-2-222200111-1-1-100000000000−i6i60004-4-24-42-220000-2-2-222200111-1-1-100000000000−i6i6000
χ34666-3-36-3-36-2-3-30000001-2000000-2000000100100000666-3-36-3-36-2-3-30000001-2000000-2000000100100000
χ35666-3-36-3-3-6-2330000001-20000002000000100-100000666-3-36-3-3-6-2330000001-20000002000000100-100000
χ3666-366-3-3-30-200000000-21000000000000012-2011-10066-366-3-3-30-200000000-21000000000000012-2011-100
χ3766-366-3-3-30-200000000-2100000000000001-220-1-110066-366-3-3-30-200000000-2100000000000001-220-1-1100
χ388-8-48-84-440000222-2-2-200-1-1-111100000000000000008-8-48-84-440000222-2-2-200-1-1-11110000000000000000
χ398-8-4-4442-2000022-4-2-2400-1-1211-200000000000000008-8-4-4442-2000022-4-2-2400-1-1211-20000000000000000
χ408-8-4-4442-200002-42-24-200-12-11-2100000000000000008-8-4-4442-200002-42-24-200-12-11-210000000000000000
χ418-8-4-4442-20000-4224-2-2002-1-1-21100000000000000008-8-4-4442-20000-4224-2-2002-1-1-2110000000000000000
χ421212-6-6-6-6330-400000000220000000000000-1000000001212-6-6-6-6330-400000000220000000000000-100000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111
χ4511111111-11-1-111111111111111-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-1-111
χ4611111111-11-1-111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111111-1-1
χ47222222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1200200000-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2111111-200-200000
χ4822222222-22-2-2-1-1-1-1-1-122-1-1-1-1-1-1-2111111200-200000-2-2-2-2-2-2-2-22-222111111-2-21111112-1-1-1-1-1-1-200200000
χ49222-1-12-1-122-1-12-1-12-1-1-122-1-12-1-1222-1-1-1-1-100-100000-2-2-211-211-2-211-211-2111-2-211-211-2-2-21111100100000
χ50222-1-12-1-122-1-1-12-1-12-1-12-12-1-12-12-1-122-1-1-100-100000-2-2-211-211-2-2111-211-211-21-211-21-211-2-211100100000
χ51222-1-12-1-122-1-1-1-12-1-12-12-1-12-1-122-1-1-1-122-100-100000-2-2-211-211-2-21111-211-21-211-211-2-21111-2-2100100000
χ52222-1-12-1-1-22112-1-12-1-1-122-1-12-1-1-2-2-21111-100100000-2-2-211-2112-2-1-1-211-2111-2-211-211222-1-1-1-1100-100000
χ53222-1-12-1-1-2211-12-1-12-1-12-12-1-12-1-211-2-211-100100000-2-2-211-2112-2-1-11-211-211-21-211-212-1-122-1-1100-100000
χ54222-1-12-1-1-2211-1-12-1-12-12-1-12-1-12-21111-2-2-100100000-2-2-211-2112-2-1-111-211-21-211-211-22-1-1-1-122100-100000
χ5522-122-1-1-102002222222-1-1-1-1-1-1-10000000-1220-1-1-100-2-21-2-21110-200-2-2-2-2-2-2-2111111100000001-2-2011100
χ5622-122-1-1-102002222222-1-1-1-1-1-1-10000000-1-2-2011100-2-21-2-21110-200-2-2-2-2-2-2-2111111100000001220-1-1-100
χ57333333333-133000000-1-1000000-1000000-11-1-1-1-111-1-3-3-3-3-3-3-3-3-31-3-30000001100000010000001-11111-1-11
χ58333333333-133000000-1-1000000-1000000-1-11-111-1-11-3-3-3-3-3-3-3-3-31-3-300000011000000100000011-11-1-111-1
χ5933333333-3-1-3-3000000-1-10000001000000-11-11-1-11-11-3-3-3-3-3-3-3-3313300000011000000-10000001-11-111-11-1
χ6033333333-3-1-3-3000000-1-10000001000000-1-11111-11-1-3-3-3-3-3-3-3-3313300000011000000-100000011-1-1-1-11-11
χ6144-244-2-2-20400-2-2-2-2-2-24-21111110000000-200000000-4-42-4-42220-400222222-42-1-1-1-1-1-10000000200000000
χ6244-2-2-2-21104004-2-24-2-2-2-2-211-2110000000100000000-4-42222-1-10-400-422-422222-1-12-1-10000000-100000000
χ6344-2-2-2-2110400-24-2-24-2-2-21-211-210000000100000000-4-42222-1-10-4002-422-4222-12-1-12-10000000-100000000
χ6444-2-2-2-2110400-2-24-2-24-2-211-211-20000000100000000-4-42222-1-10-40022-422-422-1-12-1-120000000-100000000
χ654-444-4-44-40000111-1-1-100111-1-1-10−i3i3−i3i3−i3i3000000000-44-4-444-440000-1-1-111100-1-1-11110i3−i3i3−i3i3−i3000000000
χ664-444-4-44-40000111-1-1-100111-1-1-10i3−i3i3−i3i3−i3000000000-44-4-444-440000-1-1-111100-1-1-11110−i3i3−i3i3−i3i3000000000
χ674-444-4-44-40000-2-2-222200-2-2-22220000000000000000-44-4-444-440000222-2-2-200222-2-2-20000000000000000
χ684-44-22-4-2200−2i32i311-2-1-120011-2-1-120−i3i3i3−i300000000000-44-42-242-2002i3−2i3-1-1211-200-1-1211-20i3−i3−i3i300000000000
χ694-44-22-4-2200−2i32i31-21-12-1001-21-12-10i3−i300−i3i3000000000-44-42-242-2002i3−2i3-12-11-2100-12-11-210−i3i300i3−i3000000000
χ704-44-22-4-2200−2i32i3-2112-1-100-2112-1-1000−i3i3i3−i3000000000-44-42-242-2002i3−2i32-1-1-211002-1-1-211000i3−i3−i3i3000000000
χ714-44-22-4-22002i3−2i311-2-1-120011-2-1-120i3−i3−i3i300000000000-44-42-242-200−2i32i3-1-1211-200-1-1211-20−i3i3i3−i300000000000
χ724-44-22-4-22002i3−2i31-21-12-1001-21-12-10−i3i300i3−i3000000000-44-42-242-200−2i32i3-12-11-2100-12-11-210i3−i300−i3i3000000000
χ734-44-22-4-22002i3−2i3-2112-1-100-2112-1-1000i3−i3−i3i3000000000-44-42-242-200−2i32i32-1-1-211002-1-1-211000−i3i3i3−i3000000000
χ744-4-24-42-220000-2-2-222200111-1-1-100000000000i6−i6000-442-44-22-20000222-2-2-200-1-1-111100000000000−i6i6000
χ754-4-24-42-220000-2-2-222200111-1-1-100000000000−i6i6000-442-44-22-20000222-2-2-200-1-1-111100000000000i6−i6000
χ76666-3-36-3-36-2-3-30000001-2000000-2000000100100000-6-6-633-633-6233000000-120000002000000-100-100000
χ77666-3-36-3-3-6-2330000001-20000002000000100-100000-6-6-633-63362-3-3000000-12000000-2000000-100100000
χ7866-366-3-3-30-200000000-21000000000000012-2011-100-6-63-6-633302000000002-10000000000000-1-220-1-1100
χ7966-366-3-3-30-200000000-2100000000000001-220-1-1100-6-63-6-633302000000002-10000000000000-12-2011-100
χ808-8-48-84-440000222-2-2-200-1-1-11110000000000000000-884-88-44-40000-2-2-222200111-1-1-10000000000000000
χ818-8-4-4442-2000022-4-2-2400-1-1211-20000000000000000-8844-4-4-220000-2-2422-40011-2-1-120000000000000000
χ828-8-4-4442-200002-42-24-200-12-11-210000000000000000-8844-4-4-220000-24-22-42001-21-12-10000000000000000
χ838-8-4-4442-20000-4224-2-2002-1-1-2110000000000000000-8844-4-4-2200004-2-2-42200-2112-1-10000000000000000
χ841212-6-6-6-6330-400000000220000000000000-100000000-12-126666-3-30400000000-2-20000000000000100000000

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