Finite Group Databasebeta

← Group #11923075

Character table — Group #11923075

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222444444446666888888888888121212121212121212121616161616161616161616161616161616167272727272727272
order12234466644121212121212224433366666666622666666121212121212121212121212121212121212121224448888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511-11-11-1-111-11-111-1-1-11-11111-1-1-1-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-11-11-11-11-1
χ611-11-11-1-111-11-111-1-1-11-11111-1-1-1-1-1-11111-11-111-1-11-1111-1-1-1111111-1-1-1-1-1-1-11-11-11-11
χ711-11-11-1-11-111-1-1-111-11-11111-1-1-1-1-1-1111-111-1-1-1111-1111-1-1-1-1-1-1-1-1-11111111-1-11-111-1
χ811-11-11-1-11-111-1-1-111-11-11111-1-1-1-1-1-1111-111-1-1-1111-1111-1-1-1-1-1-1-1-1-1111111-111-11-1-11
χ9222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ10222222222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-1-1-1-1-1-111111111111100000000
χ112222-2-222200-2-20000-2-22222222222222200-2-2000022-2-2-2-2-2-200000000000000000000
χ122222-2-222200-2-20000-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000022111111i3i3i3−i3−i3−i3i3i3i3−i3−i3−i300000000
χ132222-2-222200-2-20000-2-222-1-1-1-1-1-1-1-1-1-1-1-100-2-2000022111111−i3−i3−i3i3i3i3−i3−i3−i3i3i3i300000000
χ14222-122-1-1-122-1-1-1-1-1-122222-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-100000000
χ15222-122-1-1-122-1-1-1-1-1-12222-12-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-100000000
χ16222-122-1-1-122-1-1-1-1-1-12222-1-12-1-1-1-122-1-1222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-1200000000
χ17222-122-1-1-1-2-2-1-1111122222-1-122-1-1-1-12-1-1-2-2-1-11111-1-12-1-12-1-1-211-211-211-21100000000
χ18222-122-1-1-1-2-2-1-111112222-12-1-1-122-1-1-12-1-2-2-1-11111-1-1-12-1-12-11-211-211-211-2100000000
χ19222-122-1-1-1-2-2-1-111112222-1-12-1-1-1-122-1-12-2-2-1-11111-1-1-1-12-1-1211-211-211-211-200000000
χ20222-1-2-2-1-1-10011i3−i3i3−i3-2-2222-1-122-1-1-1-12-1-10011i3−i3i3−i3-1-1-211-2110i3−i30−i3i30i3−i30−i3i300000000
χ21222-1-2-2-1-1-10011i3−i3i3−i3-2-222-12-1-1-122-1-1-12-10011i3−i3i3−i3-1-11-211-21−i30i3i30−i3−i30i3i30−i300000000
χ22222-1-2-2-1-1-10011i3−i3i3−i3-2-222-1-12-1-1-1-122-1-120011i3−i3i3−i3-1-111-211-2i3−i30−i3i30i3−i30−i3i3000000000
χ23222-1-2-2-1-1-10011−i3i3−i3i3-2-2222-1-122-1-1-1-12-1-10011−i3i3−i3i3-1-1-211-2110−i3i30i3−i30−i3i30i3−i300000000
χ24222-1-2-2-1-1-10011−i3i3−i3i3-2-222-12-1-1-122-1-1-12-10011−i3i3−i3i3-1-11-211-21i30−i3−i30i3i30−i3−i30i300000000
χ25222-1-2-2-1-1-10011−i3i3−i3i3-2-222-1-12-1-1-1-122-1-120011−i3i3−i3i3-1-111-211-2−i3i30i3−i30−i3i30i3−i3000000000
χ2622-222-2-2-2200-2200002-2-22222-2-2-2-2-2-222200-2200002-2-2-2-222200000000000000000000
χ2722-222-2-2-2200-2200002-2-22-1-1-1111111-1-1-100-2200002-2111-1-1-1i3i3i3−i3−i3−i3−i3−i3−i3i3i3i300000000
χ2822-222-2-2-2200-2200002-2-22-1-1-1111111-1-1-100-2200002-2111-1-1-1−i3−i3−i3i3i3i3i3i3i3−i3−i3−i300000000
χ2922-22-22-2-222-22-222-2-2-22-22-1-1-1111111-1-1-12-22-222-2-22-2-1-1-1111-1-1-1-1-1-111111100000000
χ3022-22-22-2-22-222-2-2-222-22-22-1-1-1111111-1-1-1-222-2-2-2222-2-1-1-1111111111-1-1-1-1-1-100000000
χ3122-2-12-211-1001-1i3−i3−i3i32-2-222-1-1-2-211112-1-1001-1i3−i3−i3i3-11-2112-1-10i3−i30−i3i30−i3i30i3−i300000000
χ3222-2-12-211-1001-1i3−i3−i3i32-2-22-12-111-2-211-12-1001-1i3−i3−i3i3-111-21-12-1−i30i3i30−i3i30−i3−i30i300000000
χ3322-2-12-211-1001-1i3−i3−i3i32-2-22-1-121111-2-2-1-12001-1i3−i3−i3i3-1111-2-1-12i3−i30−i3i30−i3i30i3−i3000000000
χ3422-2-12-211-1001-1−i3i3i3−i32-2-222-1-1-2-211112-1-1001-1−i3i3i3−i3-11-2112-1-10−i3i30i3−i30i3−i30−i3i300000000
χ3522-2-12-211-1001-1−i3i3i3−i32-2-22-12-111-2-211-12-1001-1−i3i3i3−i3-111-21-12-1i30−i3−i30i3−i30i3i30−i300000000
χ3622-2-12-211-1001-1−i3i3i3−i32-2-22-1-121111-2-2-1-12001-1−i3i3i3−i3-1111-2-1-12−i3i30i3−i30i3−i30−i3i3000000000
χ3722-2-1-2211-12-2-11-1-111-22-222-1-1-2-211112-1-12-2-11-1-111-112-1-1-2112-1-12-1-1-211-21100000000
χ3822-2-1-2211-12-2-11-1-111-22-22-12-111-2-211-12-12-2-11-1-111-11-12-11-21-12-1-12-11-211-2100000000
χ3922-2-1-2211-12-2-11-1-111-22-22-1-121111-2-2-1-122-2-11-1-111-11-1-1211-2-1-12-1-1211-211-200000000
χ4022-2-1-2211-1-22-1111-1-1-22-222-1-1-2-211112-1-1-22-1111-1-1-112-1-1-211-211-2112-1-12-1-100000000
χ4122-2-1-2211-1-22-1111-1-1-22-22-12-111-2-211-12-1-22-1111-1-1-11-12-11-211-211-21-12-1-12-100000000
χ4222-2-1-2211-1-22-1111-1-1-22-22-1-121111-2-2-1-12-22-1111-1-1-11-1-1211-211-211-2-1-12-1-1200000000
χ4333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-100000000000000000011-1-111-1-1
χ4433333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-111-1-111
χ45333333333-3-333-3-3-3-3-1-1-1-100000000000011-1-11111-1-10000000000000000001111-1-1-1-1
χ46333333333-3-333-3-3-3-3-1-1-1-100000000000011-1-11111-1-1000000000000000000-1-1-1-11111
χ4733-33-33-3-333-33-333-3-31-11-1000000000000-11-11-1-111-110000000000000000001-1-111-1-11
χ4833-33-33-3-333-33-333-3-31-11-1000000000000-11-11-1-111-11000000000000000000-111-1-111-1
χ4933-33-33-3-33-333-3-3-3331-11-10000000000001-1-1111-1-1-110000000000000000001-11-1-11-11
χ5033-33-33-3-33-333-3-3-3331-11-10000000000001-1-1111-1-1-11000000000000000000-11-111-11-1
χ516666-6-666600-6-6000022-2-200000000000000220000-2-200000000000000000000000000
χ52666-366-3-3-366-3-3-3-3-3-3-2-2-2-2000000000000-2-21111111100000000000000000000000000
χ53666-366-3-3-3-6-6-3-33333-2-2-2-20000000000002211-1-1-1-11100000000000000000000000000
χ54666-3-6-6-3-3-300333i3−3i33i3−3i322-2-200000000000000-1-1−i3i3−i3i31100000000000000000000000000
χ55666-3-6-6-3-3-30033−3i33i3−3i33i322-2-200000000000000-1-1i3−i3i3−i31100000000000000000000000000
χ5666-666-6-6-6600-660000-222-2000000000000002-20000-2200000000000000000000000000
χ5766-6-36-633-3003-33i3−3i3−3i33i3-222-200000000000000-11−i3i3i3−i31-100000000000000000000000000
χ5866-6-36-633-3003-3−3i33i33i3−3i3-222-200000000000000-11i3−i3−i3i31-100000000000000000000000000
χ5966-6-3-6633-36-6-33-3-3332-22-2000000000000-221-111-1-11-100000000000000000000000000
χ6066-6-3-6633-3-66-3333-3-32-22-20000000000002-21-1-1-1111-100000000000000000000000000
χ618-8080000-80000000000002222i3−2i32i3−2i32i3−2i3-2-2-2000000000000000000000000000000000000
χ628-8080000-8000000000000222−2i32i3−2i32i3−2i32i3-2-2-2000000000000000000000000000000000000
χ638-8080000-8000000000000-4-4-4000000444000000000000000000000000000000000000
χ648-80-4004i3−4i3400000000000022-42i3−2i3−2i32i300-2-24000000000000000000000000000000000000
χ658-80-4004i3−4i340000000000002-42−2i32i3002i3−2i3-24-2000000000000000000000000000000000000
χ668-80-4004i3−4i34000000000000-422002i3−2i3−2i32i34-2-2000000000000000000000000000000000000
χ678-80-400−4i34i3400000000000022-4−2i32i32i3−2i300-2-24000000000000000000000000000000000000
χ688-80-400−4i34i340000000000002-422i3−2i300−2i32i3-24-2000000000000000000000000000000000000
χ698-80-400−4i34i34000000000000-42200−2i32i32i3−2i34-2-2000000000000000000000000000000000000

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