Finite Group Databasebeta

← Group #13048662

Character table — Group #13048662

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222224444666666666666666612121212121212121212121212121212181818181818181818181818181818181818545454545454545454545454
order1244336612121212361212333366661212121212121212333366661212121212121212246666666612121212121212122244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ611-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ711-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ811-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ92222222222222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000020200-1-100-1-1
χ102222222222222222222-1222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-20-200110011
χ112222222222222222-1-1-12-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ122222222222222222-1-1-12-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111000000000000
χ132222-12-12-1-122-1-1-1-12-1-122-1-1222-1-1-1-122-12-1-1-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ142222-12-12-1-122-1-1-1-12-1-122-1-1222-1-1-1-122-12-1-1-12-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111000000000000
χ152222-12-12-1-122-1-1-1-1-12-12-12-12-1-122-1-122-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ162222-12-12-1-122-1-1-1-1-12-12-12-12-1-122-1-122-1-12-1-1-12-1-1-1-1-122-1-1-2-21111-2-2111111-2-211000000000000
χ172222-12-12-1-122-1-1-1-1-1-122-1-122-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ182222-12-12-1-122-1-1-1-1-1-122-1-122-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122-2-2111111-2-2111111-2-2000000000000
χ1922-2-22222-2-2-2-222-2-2222-1222-1-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111000000000000000000020-200-1-10011
χ2022-2-22222-2-2-2-222-2-2222-1222-1-2-2-2-2-2-211-1-1-1-1-1-1-1-1111111110000000000000000000-202001100-1-1
χ2122-2-22222-2-2-2-222-2-2-1-1-12-1-1-12111111-2-22-1-1-12-1-1-1-2-21111112-222-1-1-1-1-1-1-2-2111111000000000000
χ2222-2-22222-2-2-2-222-2-2-1-1-12-1-1-12111111-2-22-1-1-12-1-1-1-2-2111111-22-2-211111122-1-1-1-1-1-1000000000000
χ2322-2-2-12-1211-2-2-1-1112-1-122-1-12-2-21111-2-2-12-1-1-12-1-111-2-211112-2-1-122-1-1-1-111-2-21111000000000000
χ2422-2-2-12-1211-2-2-1-1112-1-122-1-12-2-21111-2-2-12-1-1-12-1-111-2-21111-2211-2-21111-1-122-1-1-1-1000000000000
χ2522-2-2-12-1211-2-2-1-111-12-12-12-1211-2-211-2-2-1-12-1-1-12-11111-2-2112-2-1-1-1-122-1-11111-2-211000000000000
χ2622-2-2-12-1211-2-2-1-111-12-12-12-1211-2-211-2-2-1-12-1-1-12-11111-2-211-221111-2-211-1-1-1-122-1-1000000000000
χ2722-2-2-12-1211-2-2-1-111-1-122-1-1221111-2-2-2-2-1-1-12-1-1-12111111-2-22-2-1-1-1-1-1-122111111-2-2000000000000
χ2822-2-2-12-1211-2-2-1-111-1-122-1-1221111-2-2-2-2-1-1-12-1-1-12111111-2-2-22111111-2-2-1-1-1-1-1-122000000000000
χ292-22i−2i22-2-22i−2i2i−2i2-22i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ302-22i−2i22-2-22i−2i2i−2i2-22i−2i222-1-2-2-212i−2i2i−2i2i−2i−ii-1-1-1-11111−ii−ii−ii−ii000000000000000000000000−i3i3003−3
χ312-22i−2i22-2-22i−2i2i−2i2-22i−2i222-1-2-2-212i−2i2i−2i2i−2i−ii-1-1-1-11111−ii−ii−ii−ii000000000000000000000000i3−i300−33
χ322-22i−2i22-2-22i−2i2i−2i2-22i−2i-1-1-12111-2−ii−ii−ii2i−2i2-1-1-1-21112i−2i−ii−ii−ii0000−i3i3−i3i3−i3i3003−33−33−3000000000000
χ332-22i−2i22-2-22i−2i2i−2i2-22i−2i-1-1-12111-2−ii−ii−ii2i−2i2-1-1-1-21112i−2i−ii−ii−ii0000i3−i3i3−i3i3−i300−33−33−33000000000000
χ342-22i−2i-121-2−ii2i−2i-11−ii2-1-12-211-22i−2i−ii−ii2i−2i-12-1-11-211−ii2i−2i−ii−ii00−i3i300−i3i3i3−i33−3003−3−33000000000000
χ352-22i−2i-121-2−ii2i−2i-11−ii2-1-12-211-22i−2i−ii−ii2i−2i-12-1-11-211−ii2i−2i−ii−ii00i3−i300i3−i3−i3i3−3300−333−3000000000000
χ362-22i−2i-121-2−ii2i−2i-11−ii-12-121-21-2−ii2i−2i−ii2i−2i-1-12-111-21−ii−ii2i−2i−ii00−i3i3i3−i300−i3i33−3−33003−3000000000000
χ372-22i−2i-121-2−ii2i−2i-11−ii-12-121-21-2−ii2i−2i−ii2i−2i-1-12-111-21−ii−ii2i−2i−ii00i3−i3−i3i300i3−i3−333−300−33000000000000
χ382-22i−2i-121-2−ii2i−2i-11−ii-1-12211-2-2−ii−ii2i−2i2i−2i-1-1-12111-2−ii−ii−ii2i−2i00−i3i3−i3i3i3−i3003−33−3−3300000000000000
χ392-22i−2i-121-2−ii2i−2i-11−ii-1-12211-2-2−ii−ii2i−2i2i−2i-1-1-12111-2−ii−ii−ii2i−2i00i3−i3i3−i3−i3i300−33−333−300000000000000
χ402-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i2222-2-2-2-2−2i2i−2i2i−2i2i−2i2i2222-2-2-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ412-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i222-1-2-2-21−2i2i−2i2i−2i2ii−i-1-1-1-11111i−ii−ii−ii−i000000000000000000000000−i3i300−33
χ422-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i222-1-2-2-21−2i2i−2i2i−2i2ii−i-1-1-1-11111i−ii−ii−ii−i000000000000000000000000i3−i3003−3
χ432-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i-1-1-12111-2i−ii−ii−i−2i2i2-1-1-1-2111−2i2ii−ii−ii−i0000−i3i3−i3i3−i3i300−33−33−33000000000000
χ442-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i-1-1-12111-2i−ii−ii−i−2i2i2-1-1-1-2111−2i2ii−ii−ii−i0000i3−i3i3−i3i3−i3003−33−33−3000000000000
χ452-2−2i2i-121-2i−i−2i2i-11i−i2-1-12-211-2−2i2ii−ii−i−2i2i-12-1-11-211i−i−2i2ii−ii−i00−i3i300−i3i3i3−i3−3300−333−3000000000000
χ462-2−2i2i-121-2i−i−2i2i-11i−i2-1-12-211-2−2i2ii−ii−i−2i2i-12-1-11-211i−i−2i2ii−ii−i00i3−i300i3−i3−i3i33−3003−3−33000000000000
χ472-2−2i2i-121-2i−i−2i2i-11i−i-12-121-21-2i−i−2i2ii−i−2i2i-1-12-111-21i−ii−i−2i2ii−i00−i3i3i3−i300−i3i3−333−300−33000000000000
χ482-2−2i2i-121-2i−i−2i2i-11i−i-12-121-21-2i−i−2i2ii−i−2i2i-1-12-111-21i−ii−i−2i2ii−i00i3−i3−i3i300i3−i33−3−33003−3000000000000
χ492-2−2i2i-121-2i−i−2i2i-11i−i-1-12211-2-2i−ii−i−2i2i−2i2i-1-1-12111-2i−ii−ii−i−2i2i00−i3i3−i3i3i3−i300−33−333−300000000000000
χ502-2−2i2i-121-2i−i−2i2i-11i−i-1-12211-2-2i−ii−i−2i2i−2i2i-1-1-12111-2i−ii−ii−i−2i2i00i3−i3i3−i3−i3i3003−33−3−3300000000000000
χ514444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2111-2-2111111000000000000000000000000000000
χ524444-24-24-2-244-2-2-2-24-2-2-24-2-2-244-2-2-2-2-2-21-2111-21111-2-21111000000000000000000000000000000
χ534444-24-24-2-244-2-2-2-2-24-2-2-24-2-2-2-244-2-2-2-211-2111-211111-2-211000000000000000000000000000000
χ544444-24-24-2-244-2-2-2-2-2-24-2-2-24-2-2-2-2-244-2-2111-2111-2111111-2-2000000000000000000000000000000
χ5544-4-44444-4-4-4-444-4-4-2-2-2-2-2-2-2-222222222-2111-211122-1-1-1-1-1-1000000000000000000000000000000
χ5644-4-4-24-2422-4-4-2-2224-2-2-24-2-2-2-4-42222221-2111-211-1-122-1-1-1-1000000000000000000000000000000
χ5744-4-4-24-2422-4-4-2-222-24-2-2-24-2-222-4-4222211-2111-21-1-1-1-122-1-1000000000000000000000000000000
χ5844-4-4-24-2422-4-4-2-222-2-24-2-2-24-22222-4-422111-2111-2-1-1-1-1-1-122000000000000000000000000000000
χ594-44i−4i44-4-44i−4i4i−4i4-44i−4i-2-2-2-22222−2i2i−2i2i−2i2i−2i2i-21112-1-1-1−2i2ii−ii−ii−i000000000000000000000000000000
χ604-44i−4i-242-4−2i2i4i−4i-22−2i2i4-2-2-2-42224i−4i−2i2i−2i2i−2i2i1-211-12-1-1i−i−2i2ii−ii−i000000000000000000000000000000
χ614-44i−4i-242-4−2i2i4i−4i-22−2i2i-24-2-22-422−2i2i4i−4i−2i2i−2i2i11-21-1-12-1i−ii−i−2i2ii−i000000000000000000000000000000
χ624-44i−4i-242-4−2i2i4i−4i-22−2i2i-2-24-222-42−2i2i−2i2i4i−4i−2i2i111-2-1-1-12i−ii−ii−i−2i2i000000000000000000000000000000
χ634-4−4i4i44-4-4−4i4i−4i4i4-4−4i4i-2-2-2-222222i−2i2i−2i2i−2i2i−2i-21112-1-1-12i−2i−ii−ii−ii000000000000000000000000000000
χ644-4−4i4i-242-42i−2i−4i4i-222i−2i4-2-2-2-4222−4i4i2i−2i2i−2i2i−2i1-211-12-1-1−ii2i−2i−ii−ii000000000000000000000000000000
χ654-4−4i4i-242-42i−2i−4i4i-222i−2i-24-2-22-4222i−2i−4i4i2i−2i2i−2i11-21-1-12-1−ii−ii2i−2i−ii000000000000000000000000000000
χ664-4−4i4i-242-42i−2i−4i4i-222i−2i-2-24-222-422i−2i2i−2i−4i4i2i−2i111-2-1-1-12−ii−ii−ii2i−2i000000000000000000000000000000
χ6766666-36-366-3-3-3-3-3-3000000000000000000000000000000000000000000000000002020-1-100-1-100
χ6866666-36-366-3-3-3-3-3-300000000000000000000000000000000000000000000000000-20-2011001100
χ6966-6-66-36-3-6-633-3-3330000000000000000000000000000000000000000000000000020-20-1-1001100
χ7066-6-66-36-3-6-633-3-33300000000000000000000000000000000000000000000000000-20201100-1-100
χ716-66i−6i6-3-636i−6i−3i3i-33−3i3i000000000000000000000000000000000000000000000000000000−i3i3003−300
χ726-66i−6i6-3-636i−6i−3i3i-33−3i3i000000000000000000000000000000000000000000000000000000i3−i300−3300
χ736-6−6i6i6-3-63−6i6i3i−3i-333i−3i000000000000000000000000000000000000000000000000000000−i3i300−3300
χ746-6−6i6i6-3-63−6i6i3i−3i-333i−3i000000000000000000000000000000000000000000000000000000i3−i3003−300
χ7512121212-6-6-6-6-6-6-6-6333300000000000000000000000000000000000000000000000000000000000000
χ761212-12-12-6-6-6-6666633-3-300000000000000000000000000000000000000000000000000000000000000
χ7712-1212i−12i-6-666−6i6i−6i6i3-33i−3i00000000000000000000000000000000000000000000000000000000000000
χ7812-12−12i12i-6-6666i−6i6i−6i3-3−3i3i00000000000000000000000000000000000000000000000000000000000000

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