Finite Group Databasebeta

← Group #13151935

Character table — Group #13151935

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222224444444466666666121212121212121218181818181818182424242424242424242436363636363636363636363636363636363636363636363672727272
order12442346121224666121212336612121212366612121212224466121266666121212121222244466688881212122424242424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-11-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-11-11-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11-1-11-1-1-1-1-111-1-1-1-1-1-1-11111-11-11
χ51111111111-1-11-1-11-1-1111111111111111111111111-1-11-1-1-1-11-1-1-111-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
χ61111111111-1-11-1-11-1-1111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11-1-111111-1-111111111-1-1-1-1
χ71111111111-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-111-1-111-1-111-111-1-1-1-111111-11-1
χ81111111111-1-11-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11-111-11-11111-1-1-1111111-1-1-1-1-11-11
χ911-1-1-1111-1-11-1-1111-1-11111-1-1-1-11-1-11-1-1111-11-111-1-111-111-1-11-1-111-1-1-11-1111-11-11-1-111-1-111-1-11-1-11
χ1011-1-1-1111-1-11-1-1111-1-11111-1-1-1-11-1-11-1-1111-11-111-1-111-111-1-11-1-11-11-11-1-111-11-111-1-1-1-111-1-111-111-1
χ1111-1-1-1111-1-11-1-1111-1-11111-1-1-1-11-1-11-1-111-11-11-1-11111-111-1-11-1-1-1111-1-11-1-11-1-11-11111-1-1-1-11111-1-1
χ1211-1-1-1111-1-11-1-1111-1-11111-1-1-1-11-1-11-1-111-11-11-1-11111-111-1-11-1-1-1-1-11111-1-1-111-1-111-1-11111-1-1-1-111
χ1311-1-1-1111-1-1-11-1-1-11111111-1-1-1-11-1-11-1-1111-11-111-1-1-1-1-1-1-111111-11-11-11-1-1-1-11-11111-1-111-1-1111-1-11
χ1411-1-1-1111-1-1-11-1-1-11111111-1-1-1-11-1-11-1-1111-11-111-1-1-1-1-1-1-111111-1-1111-1-1-1-11-11-111111-1-111-1-1-111-1
χ1511-1-1-1111-1-1-11-1-1-11111111-1-1-1-11-1-11-1-111-11-11-1-111-1-1-1-1-111111111-1-1-1111-111-1-1-1-1-1-11111-1-111-1-1
χ1611-1-1-1111-1-1-11-1-1-11111111-1-1-1-11-1-11-1-111-11-11-1-111-1-1-1-1-1111111-1-1-1111111-1-11-1-1-111-1-1-1-111-1-111
χ172222222222222222222-12-122-1-1-12-1-1-1-12-1000000002-1-1-1-12-1-1-1-100200200000220000000-1-1-1-10-10-1
χ182222222222222222222-12-122-1-1-12-1-1-1-12-1000000002-1-1-1-12-1-1-1-100-200-200000-2-2000000011110101
χ19222222222222222222-12-12-1-122-1-12-1-1-1-1200000000-12-1-1-1-12-1-1-10200200002200000-1-1-1-10000-10-10
χ20222222222222222222-12-12-1-122-1-12-1-1-1-1200000000-12-1-1-1-12-1-1-10-200-20000-2-200000111100001010
χ212222222222-2-22-2-22-2-22-12-122-1-1-12-1-1-1-12-100000000-21-111-21-11100200200000-2-2000000011110-10-1
χ222222222222-2-22-2-22-2-22-12-122-1-1-12-1-1-1-12-100000000-21-111-21-11100-200-200000220000000-1-1-1-10101
χ232222222222-2-22-2-22-2-2-12-12-1-122-1-12-1-1-1-12000000001-2-1111-2-111020020000-2-20000011110000-10-10
χ242222222222-2-22-2-22-2-2-12-12-1-122-1-12-1-1-1-12000000001-2-1111-2-1110-200-200002200000-1-1-1-100001010
χ252222-22-222200-200-200222222222-2-2222-2-22-2-22222200-20000-200000000-2000000-200000000000000
χ262222-22-222200-200-200222222222-2-2222-2-2-222-2-2-2-2-200-20000-2000000002000000200000000000000
χ2722-2-222-22-2-200200-2002222-2-2-2-22222-2-2-2-222-2-222-2-20020000-2000000002000000-200000000000000
χ2822-2-222-22-2-200200-2002222-2-2-2-22222-2-2-2-2-2-222-2-2220020000-200000000-2000000200000000000000
χ2922-2-2-2222-2-22-2-2222-2-22-12-1-2-211-1-21-1112-1000000002-11-1-1-21-11100200-200000-22000000011-1-10-101
χ3022-2-2-2222-2-22-2-2222-2-22-12-1-2-211-1-21-1112-1000000002-11-1-1-21-11100-2002000002-20000000-1-111010-1
χ3122-2-2-2222-2-22-2-2222-2-2-12-1211-2-2-11-2-111-1200000000-121-1-11-2-1110200-200002-200000-1-1110000-1010
χ3222-2-2-2222-2-22-2-2222-2-2-12-1211-2-2-11-2-111-1200000000-121-1-11-2-1110-20020000-220000011-1-1000010-10
χ3322-2-2-2222-2-2-22-2-2-22222-12-1-2-211-1-21-1112-100000000-211112-1-1-1-100200-2000002-20000000-1-1110-101
χ3422-2-2-2222-2-2-22-2-2-22222-12-1-2-211-1-21-1112-100000000-211112-1-1-1-100-200200000-22000000011-1-1010-1
χ3522-2-2-2222-2-2-22-2-2-2222-12-1211-2-2-11-2-111-12000000001-2111-12-1-1-10200-20000-220000011-1-10000-1010
χ3622-2-2-2222-2-2-22-2-2-2222-12-1211-2-2-11-2-111-12000000001-2111-12-1-1-10-200200002-200000-1-111000010-10
χ37444444444444444444-2-2-2-2-2-2-2-21-2-2111-2-200000000-2-2111-2-21110000000000000000000000000000
χ384444444444-4-44-4-44-4-4-2-2-2-2-2-2-2-21-2-2111-2-200000000221-1-1221-1-10000000000000000000000000000
χ394444-44-444400-400-4004-24-244-2-2-2-42-2-2-2-420000000000200002000000000000000000000000000000
χ404444-44-444400-400-400-24-24-2-244-22-4-2-2-22-40000000000200002000000000000000000000000000000
χ414444-44-444400-400-400-2-2-2-2-2-2-2-2122111220000000000-13-300-13-30000000000000000000000000000
χ424444-44-444400-400-400-2-2-2-2-2-2-2-2122111220000000000-1-3300-1-330000000000000000000000000000
χ4344-4-444-44-4-400400-4004-24-2-4-422-24-2-222-420000000000-200002000000000000000000000000000000
χ4444-4-444-44-4-400400-400-24-2422-4-4-2-24-2222-40000000000-200002000000000000000000000000000000
χ4544-4-444-44-4-400400-400-2-2-2-222221-2-21-1-122000000000013-300-1-330000000000000000000000000000
χ4644-4-444-44-4-400400-400-2-2-2-222221-2-21-1-12200000000001-3300-13-30000000000000000000000000000
χ4744-4-4-4444-4-44-4-4444-4-4-2-2-2-222221221-1-1-2-200000000-2-2-111221-1-10000000000000000000000000000
χ4844-4-4-4444-4-4-44-4-4-4444-2-2-2-222221221-1-1-2-20000000022-1-1-1-2-21110000000000000000000000000000
χ494-44i−4i040-44i−4i0000000044-4-44i−4i4i−4i400-44i−4i000000000000000000000000000000000000000000000000
χ504-44i−4i040-44i−4i000000004-2-424i−4i−2i2i-2002−2i2i00000000000000000000000000000000000000006−6i6−i60000
χ514-44i−4i040-44i−4i000000004-2-424i−4i−2i2i-2002−2i2i0000000000000000000000000000000000000000−66−i6i60000
χ524-44i−4i040-44i−4i00000000-242-4−2i2i4i−4i-2002−2i2i000000000000000000000000000000000000i6−i66−600000000
χ534-44i−4i040-44i−4i00000000-242-4−2i2i4i−4i-2002−2i2i000000000000000000000000000000000000−i6i6−6600000000
χ544-4−4i4i040-4−4i4i0000000044-4-4−4i4i−4i4i400-4−4i4i000000000000000000000000000000000000000000000000
χ554-4−4i4i040-4−4i4i000000004-2-42−4i4i2i−2i-20022i−2i00000000000000000000000000000000000000006−6−i6i60000
χ564-4−4i4i040-4−4i4i000000004-2-42−4i4i2i−2i-20022i−2i0000000000000000000000000000000000000000−66i6−i60000
χ574-4−4i4i040-4−4i4i00000000-242-42i−2i−4i4i-20022i−2i000000000000000000000000000000000000i6−i6−6600000000
χ584-4−4i4i040-4−4i4i00000000-242-42i−2i−4i4i-20022i−2i000000000000000000000000000000000000−i6i66−600000000
χ5966666-36-3-3-366-3-3-3-3-3-300000000000000002222-1-1-1-10000000000200200-1-1-10000-1-1-1000000000000
χ6066666-36-3-3-366-3-3-3-3-3-30000000000000000-2-2-2-211110000000000-200-2001110000111000000000000
χ6166666-36-3-3-3-6-6-333-33300000000000000002222-1-1-1-10000000000-200-200-1110000-111000000000000
χ6266666-36-3-3-3-6-6-333-3330000000000000000-2-2-2-2111100000000002002001-1-100001-1-1000000000000
χ636666-6-3-6-3-3-3003−3i33i33−3i33i300000000000000002-2-22-1-1-1-100000000000000001−i3i300001−i3i3000000000000
χ646666-6-3-6-3-3-3003−3i33i33−3i33i30000000000000000-222-211110000000000000000-1i3−i30000-1i3−i3000000000000
χ656666-6-3-6-3-3-30033i3−3i333i3−3i300000000000000002-2-22-1-1-1-100000000000000001i3−i300001i3−i3000000000000
χ666666-6-3-6-3-3-30033i3−3i333i3−3i30000000000000000-222-211110000000000000000-1−i3i30000-1−i3i3000000000000
χ6766-6-66-3-6-33300-3−3i33i333i3−3i3000000000000000022-2-2-1-1110000000000000000-1−i3i300001i3−i3000000000000
χ6866-6-66-3-6-33300-3−3i33i333i3−3i30000000000000000-2-22211-1-100000000000000001i3−i30000-1−i3i3000000000000
χ6966-6-66-3-6-33300-33i3−3i33−3i33i3000000000000000022-2-2-1-1110000000000000000-1i3−i300001−i3i3000000000000
χ7066-6-66-3-6-33300-33i3−3i33−3i33i30000000000000000-2-22211-1-100000000000000001−i3i30000-1i3−i3000000000000
χ7166-6-6-6-36-3336-63-3-3-33300000000000000002-22-2-1-1110000000000200-2001-1-10000-111000000000000
χ7266-6-6-6-36-3336-63-3-3-3330000000000000000-22-2211-1-10000000000-200200-11100001-1-1000000000000
χ7366-6-6-6-36-333-66333-3-3-300000000000000002-22-2-1-1110000000000-2002001110000-1-1-1000000000000
χ7466-6-6-6-36-333-66333-3-3-30000000000000000-22-2211-1-10000000000200-200-1-1-10000111000000000000
χ758-88i−8i080-88i−8i00000000-4-444−4i4i−4i4i200-22i−2i000000000000000000000000000000000000000000000000
χ768-8−8i8i080-8−8i8i00000000-4-4444i−4i4i−4i200-2−2i2i000000000000000000000000000000000000000000000000
χ7712-1212i−12i0-606−6i6i0000000000000000000000000000−2i32i323−2300000000000000000000000000000000000000
χ7812-1212i−12i0-606−6i6i00000000000000000000000000002i3−2i3−232300000000000000000000000000000000000000
χ7912-12−12i12i0-6066i−6i0000000000000000000000000000−2i32i3−232300000000000000000000000000000000000000
χ8012-12−12i12i0-6066i−6i00000000000000000000000000002i3−2i323−2300000000000000000000000000000000000000

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