Finite Group Databasebeta

← Group #72274992

Character table — Group #72274992

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222266121212121212121212121212121212121212242424242424242432323232363636364848484848484848646464647272727296969696144144
order124436121224222244444444666121212246121212121236121222446881224242424361212444466121244
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ311111111111-1-111-1-111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111-1-111-1-1-1-1-1-11111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ511-1-111-1-11-1-1111-1-1-111-1-11-1-11-1111-11-111-1-111-1-111-1-111-1-111-1-111-1-11-11-111-1-11-1
χ611-1-111-1-11-1-1111-1-1-1-1-1111-1-11-111-111-1-1-11111-1-1-1-111-1-111-1-11111-1-11-1-1111-1-1-11
χ711-1-111-1-11-1-1-1-11-11111-1-11-1-11-1111-11-111-1-111-1-1-1-11111-1-111-1-111-1-1-11-11-1-111-11
χ811-1-111-1-11-1-1-1-11-111-1-1111-1-11-111-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1-1-1111-1
χ9222222222222222220000222222200220000-1-1-1-1000000000000-1-1-1-12200-1-1-1-100
χ1022222222222-2-222-2-20000222222200220000-1-1-1-1000000000000-1-1-1-1-2-200111100
χ112222-1-1-1-122200220022222-1-1-1-1-1-122-1-1-1-1-1-122220000-122-1-1-1-1-1-1-1-1-10000000000
χ122222-1-1-1-1222002200-2-2-2-22-1-1-1-1-1-1-2-2-1-11111222200001-2-211111-1-1-1-10000000000
χ1322-2-222-2-22-2-2222-2-2-200002-2-22-222002-20000-1-111000000000000-1-1112-200-1-11100
χ1422-2-222-2-22-2-2-2-22-22200002-2-22-222002-20000-1-111000000000000-1-111-220011-1-100
χ1522-2-2-1-1112-2-2002-20022-2-2211-11-1-12-2-11-1-11122-2-20000-12-21-1-111-1-1110000000000
χ1622-2-2-1-1112-2-2002-200-2-222211-11-1-1-22-1111-1-122-2-200001-22-111-1-1-1-1110000000000
χ173333333333-133-1-1331111-1-1-133-1-111-1-11111000011111-1-11-1-1-1-10000-1-1110000-1-1
χ183333333333-133-1-133-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-111-111110000-1-1-1-1000011
χ193333333333-1-3-3-1-1-3-31111-1-1-133-1-111-1-111110000-1-1-1-11-1-11-1-1-1-1000011-1-1000011
χ203333333333-1-3-3-1-1-3-3-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-100001111-111-11111000011110000-1-1
χ2133-3-333-3-33-3133-11-3-311-1-1-1113-3-1-11-1-1111-1-1000011-1-11-11-1-1-1110000-111-10000-11
χ2233-3-333-3-33-3133-11-3-3-1-111-1113-3-1-1-11-11-1-1110000-1-111-11-1111-1-10000-11-1100001-1
χ2333-3-333-3-33-31-3-3-113311-1-1-1113-3-1-11-1-1111-1-10000-1-1111-11-1-1-11100001-1-1100001-1
χ2433-3-333-3-33-31-3-3-1133-1-111-1113-3-1-1-11-11-1-111000011-1-1-11-1111-1-100001-11-10000-11
χ254444-2-2-2-244400440000004-2-2-2-2-2-200-2-20000-2-2-2-200000000000011110000000000
χ2644-4-4-2-2224-4-4004-4000000422-22-2-200-220000-2-22200000000000011-1-10000000000
χ274-44i−4i4-44i−4i0002-2002i−2i2-22i−2i000000000002-22i−2i1-1i−i2-22i−2i000000001-1i−i00001-1i−i00
χ284-44i−4i4-44i−4i0002-2002i−2i-22−2i2i00000000000-22−2i2i1-1i−i-22−2i2i000000001-1i−i00001-1i−i00
χ294-44i−4i4-44i−4i000-2200−2i2i2-22i−2i000000000002-22i−2i1-1i−i-22−2i2i000000001-1i−i0000-11−ii00
χ304-44i−4i4-44i−4i000-2200−2i2i-22−2i2i00000000000-22−2i2i1-1i−i2-22i−2i000000001-1i−i0000-11−ii00
χ314-4−4i4i4-4−4i4i0002-200−2i2i2-2−2i2i000000000002-2−2i2i1-1−ii2-2−2i2i000000001-1−ii00001-1−ii00
χ324-4−4i4i4-4−4i4i0002-200−2i2i-222i−2i00000000000-222i−2i1-1−ii-222i−2i000000001-1−ii00001-1−ii00
χ334-4−4i4i4-4−4i4i000-22002i−2i2-2−2i2i000000000002-2−2i2i1-1−ii-222i−2i000000001-1−ii0000-11i−i00
χ344-4−4i4i4-4−4i4i000-22002i−2i-222i−2i00000000000-222i−2i1-1−ii2-2−2i2i000000001-1−ii0000-11i−i00
χ3566666666-2-2200-2-2002222222-2-222-2-2-2-2222200000000-200-2000000000000000000
χ3666666666-2-2200-2-200-2-2-2-2222-2-22222-2-2-2-2-2-2000000002002000000000000000000
χ3766666666-2-2-20022000000-2-2-2-2-2-2-2002200000000222200000000000000-2-2000000
χ3866666666-2-2-20022000000-2-2-2-2-2-2-2002200000000-2-2-2-20000000000000022000000
χ396666-3-3-3-366-200-2-2002222-211-3-3112211-1-1-1-100000000-1-2-2-1111100000000000000
χ406666-3-3-3-366-200-2-200-2-2-2-2-211-3-311-2-2111111000000001221-1-1-1-100000000000000
χ416666-3-3-3-3-2-2200-2-20022222−1−2i3−1+2i311−1−2i3−1+2i3-2-211-1-1-1-1000000001001−i3i3−i3i300000000000000
χ426666-3-3-3-3-2-2200-2-20022222−1+2i3−1−2i311−1+2i3−1−2i3-2-211-1-1-1-1000000001001i3−i3i3−i300000000000000
χ436666-3-3-3-3-2-2200-2-200-2-2-2-22−1−2i3−1+2i311−1−2i3−1+2i32211111100000000-100-1i3−i3i3−i300000000000000
χ446666-3-3-3-3-2-2200-2-200-2-2-2-22−1+2i3−1−2i311−1+2i3−1−2i32211111100000000-100-1−i3i3−i3i300000000000000
χ4566-6-666-6-6-222002-2000000-222-22-2-2002-20000000022-2-200000000000000-22000000
χ4666-6-666-6-6-222002-2000000-222-22-2-2002-200000000-2-222000000000000002-2000000
χ4766-6-666-6-6-22-200-220022-2-22-2-2-2222-22-2222-2-200000000-2002000000000000000000
χ4866-6-666-6-6-22-200-2200-2-2222-2-2-22222-2-22-2-22200000000200-2000000000000000000
χ4966-6-6-3-3336-6200-220022-2-2-2-1-1-33112-21-1-1-11100000000-1-22111-1-100000000000000
χ5066-6-6-3-3336-6200-2200-2-222-2-1-1-3311-221-111-1-10000000012-2-1-1-11100000000000000
χ5166-6-6-3-333-22-200-220022-2-221−2i31+2i31-1−1+2i3−1−2i3-221-1-1-11100000000100-1i3−i3−i3i300000000000000
χ5266-6-6-3-333-22-200-220022-2-221+2i31−2i31-1−1−2i3−1+2i3-221-1-1-11100000000100-1−i3i3i3−i300000000000000
χ5366-6-6-3-333-22-200-2200-2-22221−2i31+2i31-1−1+2i3−1−2i32-21-111-1-100000000-1001−i3i3i3−i300000000000000
χ5466-6-6-3-333-22-200-2200-2-22221+2i31−2i31-1−1−2i3−1+2i32-21-111-1-100000000-1001i3−i3−i3i300000000000000
χ558-88i−8i8-88i−8i0004-4004i−4i0000000000000000000-11−ii000000000000-11−ii0000-11−ii00
χ568-88i−8i8-88i−8i000-4400−4i4i0000000000000000000-11−ii000000000000-11−ii00001-1i−i00
χ578-88i−8i-44−4i4i0000000004-44i−4i00000000000-22−2i2i2-22i−2i000000000000-11−ii0000000000
χ588-88i−8i-44−4i4i000000000-44−4i4i000000000002-22i−2i2-22i−2i000000000000-11−ii0000000000
χ598-8−8i8i8-8−8i8i0004-400−4i4i0000000000000000000-11i−i000000000000-11i−i0000-11i−i00
χ608-8−8i8i8-8−8i8i000-44004i−4i0000000000000000000-11i−i000000000000-11i−i00001-1−ii00
χ618-8−8i8i-444i−4i0000000004-4−4i4i00000000000-222i−2i2-2−2i2i000000000000-11i−i0000000000
χ628-8−8i8i-444i−4i000000000-444i−4i000000000002-2−2i2i2-2−2i2i000000000000-11i−i0000000000
χ6312121212-6-6-6-6-4-4-40044000000-422222200-2-20000000000000000000000000000000000
χ641212-12-12-6-666-444004-4000000-4-2-22-22200-220000000000000000000000000000000000
χ6516-1616i−16i-88−8i8i0000000000000000000000000000-22−2i2i0000000000001-1i−i0000000000
χ6616-16−16i16i-888i−8i0000000000000000000000000000-222i−2i0000000000001-1−ii0000000000

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