Finite Group Databasebeta

← Group #13140531

Character table — Group #13140531

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222224444466666688121212121212121212121212122424242424242424363636363636363636363636363636363636727272727272727272
order122223624666336666612366666666661212666661212122222446666666612121212444121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ51111111-1-1111111111-1-1111111-1-1111-1-1-111-1-1-1-1-11-1111-111-1-1111111-1-1-11-111-1-1-1-1
χ61111111-1-1111111111-1-1111111-1-1111-1-1-111-1-1-1-1-11-1-1-11-111-1-1-1-1-1-111-1-11-11-1-11111
χ71111111-1-1111111111-1-1111111-1-1111-1-1-111-1-1-1-1-1-1111-11-1-1111111-1-111-1-11-1-111-1-1
χ81111111-1-1111111111-1-1111111-1-1111-1-1-111-1-1-1-1-1-11-1-1-11-1-111-1-1-1-1-1-11111-111-1-111
χ92222222222222-1222-122-122-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1220022-1-1-1-10000-1-1-1-1000000000
χ102222222222222-1222-122-122-1-1-1-1-1-1-1-1-1-12-1-1-1-12-1-1-2-200-2-2111100001111000000000
χ11222222222222-12-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-1-1-10022000000-1-1-1-100002000000-1-1
χ12222222222222-12-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-1-1-100-2-200000011110000-200000011
χ132222222-2-22222-1222-1-2-2-122-1-1-111-1-1-111-2-1-111-2112-2002-2-1-1110000-1-111000000000
χ142222222-2-22222-1222-1-2-2-122-1-1-111-1-1-111-2-1-111-211-2200-2211-1-1000011-1-1000000000
χ152222222-2-2222-12-1-1-12-2-2-1-1-1222-2-2-1-1-1-2-21-1-1111110022000000-1-1-1-10000-200000011
χ162222222-2-2222-12-1-1-12-2-2-1-1-1222-2-2-1-1-1-2-21-1-11111100-2-2000000111100002000000-1-1
χ17222-2-22200-22-2222-2-220022-22-2-200-2-220002-20000002000-20022000000-2-2000000000
χ18222-2-22200-22-2222-2-220022-22-2-200-2-220002-2000000-2000200-2-200000022000000000
χ19222-2-22200-22-22-12-2-2-100-12-2-111−i3i311-1−i3i30-11−i3i30−i3i302000-2−i3i3-1-10000−i3i311000000000
χ20222-2-22200-22-22-12-2-2-100-12-2-111−i3i311-1−i3i30-11−i3i30−i3i30-20002i3−i3110000i3−i3-1-1000000000
χ21222-2-22200-22-22-12-2-2-100-12-2-111i3−i311-1i3−i30-11i3−i30i3−i302000-2i3−i3-1-10000i3−i311000000000
χ22222-2-22200-22-22-12-2-2-100-12-2-111i3−i311-1i3−i30-11i3−i30i3−i30-20002−i3i3110000−i3i3-1-1000000000
χ2322-22-22200-2-22222-2-22002-22-22-200-2-22000-22000002000-2022000000-2-200000000000
χ2422-22-22200-2-22222-2-22002-22-22-200-2-22000-2200000-200020-2-20000002200000000000
χ2522-22-22200-2-222-12-2-2-100-1-221-11−i3i311-1i3−i301-1−i3i30i3−i32000-20-1-1−i3i3000011−i3i3000000000
χ2622-22-22200-2-222-12-2-2-100-1-221-11−i3i311-1i3−i301-1−i3i30i3−i3-20002011i3−i30000-1-1i3−i3000000000
χ2722-22-22200-2-222-12-2-2-100-1-221-11i3−i311-1−i3i301-1i3−i30−i3i32000-20-1-1i3−i3000011i3−i3000000000
χ2822-22-22200-2-222-12-2-2-100-1-221-11i3−i311-1−i3i301-1i3−i30−i3i3-20002011−i3i30000-1-1−i3i3000000000
χ2922-2-22222-22-2-22222222-22-2-2-2-2222222-2-22-2-222-2-2-2000000000000000000000000000
χ3022-2-22222-22-2-22-1222-12-2-1-2-211-1-1-1-1-1-111211-1-1-211000000−i3i3−i3i30000i3−i3i3−i3000000000
χ3122-2-22222-22-2-22-1222-12-2-1-2-211-1-1-1-1-1-111211-1-1-211000000i3−i3i3−i30000−i3i3−i3i3000000000
χ3222-2-22222-22-2-2-12-1-1-122-2-111-2-2222-1-1-1-2-2-111-1-11110000000000−i3−i3i3i300000000000−i3i3
χ3322-2-22222-22-2-2-12-1-1-122-2-111-2-2222-1-1-1-2-2-111-1-11110000000000i3i3−i3−i300000000000i3−i3
χ3422-2-2222-222-2-2222222-222-2-2-2-22-2-222222-2-2-2-2-2222000000000000000000000000000
χ3522-2-2222-222-2-22-1222-1-22-1-2-211-111-1-1-1-1-1-211112-1-1000000−i3i3i3−i30000i3−i3−i3i3000000000
χ3622-2-2222-222-2-22-1222-1-22-1-2-211-111-1-1-1-1-1-211112-1-1000000i3−i3−i3i30000−i3i3i3−i3000000000
χ3722-2-2222-222-2-2-12-1-1-12-22-111-2-22-2-2-1-1-12211111-1-1-10000000000−i3−i3i3i300000000000i3−i3
χ3822-2-2222-222-2-2-12-1-1-12-22-111-2-22-2-2-1-1-12211111-1-1-10000000000i3i3−i3−i300000000000−i3i3
χ39444444444444-2-2-2-2-2-2441-2-2-2-2-2-2-2111-2-2-21111-211000000000000000000000000000
χ404444444-4-4444-2-2-2-2-2-2-4-41-2-2-2-2-22211122211-1-12-1-1000000000000000000000000000
χ41444-4-44400-44-4-24-222400-2-224-4-40022-2000-2200000000000000000000000000000000
χ42444-4-44400-44-4-2-2-222-2001-22-222−2i32i3-1-11−2i32i301-1i3−i30i3−i3000000000000000000000000000
χ43444-4-44400-44-4-2-2-222-2001-22-2222i3−2i3-1-112i3−2i301-1−i3i30−i3i3000000000000000000000000000
χ4444-44-44400-4-44-24-222400-22-2-44-40022-20002-200000000000000000000000000000000
χ4544-44-44400-4-44-2-2-222-20012-22-22−2i32i3-1-112i3−2i30-11i3−i30−i3i3000000000000000000000000000
χ4644-44-44400-4-44-2-2-222-20012-22-222i3−2i3-1-11−2i32i30-11−i3i30i3−i3000000000000000000000000000
χ4744-4-44444-44-4-4-2-2-2-2-2-24-412222-2-2-211122-2-1-1112-1-1000000000000000000000000000
χ4844-4-4444-444-4-4-2-2-2-2-2-2-4412222-222111-2-22-1-1-1-1-211000000000000000000000000000
χ494-40004-40000044-400-4004000000000-40000000000002-20000002-22-20000000000000
χ504-40004-40000044-400-4004000000000-4000000000000-22000000-22-220000000000000
χ514-40004-400000-242−2i32i3-400-20000000−2i32i320000000000002-2000000−1−i31+i3−1+i31−i30000000000000
χ524-40004-400000-242−2i32i3-400-20000000−2i32i32000000000000-220000001+i3−1−i31−i3−1+i30000000000000
χ534-40004-400000-2422i3−2i3-400-200000002i3−2i320000000000002-2000000−1+i31−i3−1−i31+i30000000000000
χ544-40004-400000-2422i3−2i3-400-200000002i3−2i32000000000000-220000001−i3−1+i31+i3−1−i30000000000000
χ5566666-3-366-3-3-3000000-3-3000000000000000000000000000000000000000022-1-1-1-100
χ5666666-3-366-3-3-3000000-3-30000000000000000000000000000000000000000-2-2111100
χ5766666-3-3-6-6-3-3-30000003300000000000000000000000000000000000000002-2-1-11100
χ5866666-3-3-6-6-3-3-3000000330000000000000000000000000000000000000000-2211-1-100
χ5966-6-66-3-36-6-333000000-330000000000000000000000000000000000000000003−33−300
χ6066-6-66-3-36-6-333000000-33000000000000000000000000000000000000000000−33−3300
χ6166-6-66-3-3-66-3330000003-30000000000000000000000000000000000000000003−3−3300
χ6266-6-66-3-3-66-3330000003-3000000000000000000000000000000000000000000−333−300
χ638-80008-8000008-4-800400-400000000040000000000000000000000000000000000000
χ648-80008-800000-4-44−4i34i3400200000002i3−2i3-20000000000000000000000000000000000000
χ658-80008-800000-4-444i3−4i340020000000−2i32i3-20000000000000000000000000000000000000
χ66121212-12-12-6-6006-6600000000000000000000000000000000000000000000000000000000
χ671212-1212-12-6-60066-600000000000000000000000000000000000000000000000000000000
χ6824-24000-12120000000000000000000000000000000000000000000000000000000000000

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