Finite Group Databasebeta

← Group #13151934

Character table — Group #13151934

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666699991212121212121212181818181818181818181818181824242424242424242424363636363636363636363636363636363636363672727272
order12442346121224666121212336612121212224436661212121224668888888812126666612121212122224446661212122424242424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111111111-11-1-11-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111-1-11-1-11-1-11111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1
χ61111111111-1-11-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-11-1-1-111-1111-1-11-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11-1-11-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11-1-11-111-11-111-1111111-1-1-1-1-11-11
χ81111111111-1-11-1-11-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-111-111-1-111-111-1-1-1-111111-11-1
χ911-1-1-1111-1-11-1-1111-1-11111-1-1-1-111-1-11-1-11-1-111-111111-1-111-1-1-1-111-111-1-11-1-1111-1-1-1-1111-1-111-1-111-1-111-1-1
χ1011-1-1-1111-1-11-1-1111-1-11111-1-1-1-111-1-11-1-11-1-111-1111-1-111-1-111-1-111-111-1-11-1-11-1-1-111-1111-1-1-1-111-1-111-1-111
χ1111-1-1-1111-1-11-1-1111-1-11111-1-1-1-1-1-1111-1-11-1-1111-1-1-111-1-1-1-1111111-111-1-11-1-1-11-11-111-1-1-11111-1-1-1-1111-1-11
χ1211-1-1-1111-1-11-1-1111-1-11111-1-1-1-1-1-1111-1-11-1-1111-1-1-1-1-11111-1-11111-111-1-11-1-1-1-1111-11-1-1-111-1-11111-1-1-111-1
χ1311-1-1-1111-1-1-11-1-1-11111111-1-1-1-111-1-11-1-11-1-111-111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1111-1-1-111111-1-111-1-1-1-111
χ1411-1-1-1111-1-1-11-1-1-11111111-1-1-1-111-1-11-1-11-1-111-1111-1-111-1-111-1-1-1-1-1-1-111111-1111-1-1-1-1-1111-1-111-1-11111-1-1
χ1511-1-1-1111-1-1-11-1-1-11111111-1-1-1-1-1-1111-1-11-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1111111-11-11-1111-1-1-111-1-1-1-111-111-1
χ1611-1-1-1111-1-1-11-1-1-11111111-1-1-1-1-1-1111-1-11-1-1111-1-1-1-1-11111-1-111-1-1-1-1-11111111-1-1-11111-1-1-1-1-11111-1-11-1-11
χ172222222222222222222-12-122-1-10000-12-1-1-1-12-1000000002222002-1-1-1-12-1-1-1-10020020000000000-1-1-1-10-10-1
χ182222222222222222222-12-122-1-10000-12-1-1-1-12-100000000-2-2-2-2002-1-1-1-12-1-1-1-100-200-2000000000011110101
χ19222222222222222222-12-12-1-1220000-1-12-1-1-1-1200002222000000-12-1-1-1-12-1-1-1020020000000-1-1-1-10000-10-10
χ20222222222222222222-12-12-1-1220000-1-12-1-1-1-120000-2-2-2-2000000-12-1-1-1-12-1-1-10-200-20000000111100001010
χ212222222222-2-22-2-22-2-22-12-122-1-10000-12-1-1-1-12-100000000222200-21-111-21-11100-200-20000000000-1-1-1-10101
χ222222222222-2-22-2-22-2-22-12-122-1-10000-12-1-1-1-12-100000000-2-2-2-200-21-111-21-111002002000000000011110-10-1
χ232222222222-2-22-2-22-2-2-12-12-1-1220000-1-12-1-1-1-12000022220000001-2-1111-2-1110-200-20000000-1-1-1-100001010
χ242222222222-2-22-2-22-2-2-12-12-1-1220000-1-12-1-1-1-120000-2-2-2-20000001-2-1111-2-11102002000000011110000-10-10
χ252222-22-222200-200-2002222222222222-2-2222-2-2-2-222000000002200-20000-200000000-200-200000000000000
χ262222-22-222200-200-20022222222-2-2-2-22-2-2222-2-222-2-200000000-2-200-20000-200000000200200000000000000
χ2722-2-222-22-2-200200-2002222-2-2-2-222-2-22222-2-2-2-22-22200000000-2-20020000-200000000200-200000000000000
χ2822-2-222-22-2-200200-2002222-2-2-2-2-2-2222222-2-2-2-2-22-2-200000000220020000-200000000-200200000000000000
χ2922-2-2-2222-2-22-2-2222-2-22-12-1-2-2110000-1-21-1112-10000000022-2-2002-11-1-1-21-11100200-20000000000-1-1110-101
χ3022-2-2-2222-2-22-2-2222-2-22-12-1-2-2110000-1-21-1112-100000000-2-222002-11-1-1-21-11100-2002000000000011-1-1010-1
χ3122-2-2-2222-2-22-2-2222-2-2-12-1211-2-20000-11-2-111-12000022-2-2000000-121-1-11-2-1110200-20000000-1-1110000-1010
χ3222-2-2-2222-2-22-2-2222-2-2-12-1211-2-20000-11-2-111-120000-2-222000000-121-1-11-2-1110-2002000000011-1-1000010-10
χ3322-2-2-2222-2-2-22-2-2-22222-12-1-2-2110000-1-21-1112-10000000022-2-200-211112-1-1-1-100-20020000000000-1-111010-1
χ3422-2-2-2222-2-2-22-2-2-22222-12-1-2-2110000-1-21-1112-100000000-2-22200-211112-1-1-1-100200-2000000000011-1-10-101
χ3522-2-2-2222-2-2-22-2-2-2222-12-1211-2-20000-11-2-111-12000022-2-20000001-2111-12-1-1-10-20020000000-1-111000010-10
χ3622-2-2-2222-2-2-22-2-2-2222-12-1211-2-20000-11-2-111-120000-2-2220000001-2111-12-1-1-10200-2000000011-1-10000-1010
χ372-22i−2i020-22i−2i0000000022-2-22i−2i2i−2i2-22i−2i200-22i−2i00002-22−2−i2i22−2−i2i22i−2i00000000000000000000002−2−i2i22−2−i2i20000
χ382-22i−2i020-22i−2i0000000022-2-22i−2i2i−2i2-22i−2i200-22i−2i00002-2−22i2−i2−22i2−i22i−2i0000000000000000000000−22i2−i2−22i2−i20000
χ392-22i−2i020-22i−2i0000000022-2-22i−2i2i−2i-22−2i2i200-22i−2i0000-222−2−i2i2−22i2−i2−2i2i00000000000000000000002−2−i2i2−22i2−i20000
χ402-22i−2i020-22i−2i0000000022-2-22i−2i2i−2i-22−2i2i200-22i−2i0000-22−22i2−i22−2−i2i2−2i2i0000000000000000000000−22i2−i22−2−i2i20000
χ412-2−2i2i020-2−2i2i0000000022-2-2−2i2i−2i2i2-2−2i2i200-2−2i2i00002-22−2i2−i22−2i2−i2−2i2i00000000000000000000002−2i2−i22−2i2−i20000
χ422-2−2i2i020-2−2i2i0000000022-2-2−2i2i−2i2i2-2−2i2i200-2−2i2i00002-2−22−i2i2−22−i2i2−2i2i0000000000000000000000−22−i2i2−22−i2i20000
χ432-2−2i2i020-2−2i2i0000000022-2-2−2i2i−2i2i-222i−2i200-2−2i2i0000-222−2i2−i2−22−i2i22i−2i00000000000000000000002−2i2−i2−22−i2i20000
χ442-2−2i2i020-2−2i2i0000000022-2-2−2i2i−2i2i-222i−2i200-2−2i2i0000-22−22−i2i22−2i2−i22i−2i0000000000000000000000−22−i2i22−2i2−i20000
χ45444444444444444444-2-2-2-2-2-2-2-200001-2-2111-2-200000000000000-2-2111-2-2111000000000000000000000000
χ464444444444-4-44-4-44-4-4-2-2-2-2-2-2-2-200001-2-2111-2-200000000000000221-1-1221-1-1000000000000000000000000
χ474444-44-444400-400-4004-24-244-2-20000-2-42-2-2-2-42000000000000000020000200000000000000000000000000
χ484444-44-444400-400-400-24-24-2-2440000-22-4-2-2-22-4000000000000000020000200000000000000000000000000
χ494444-44-444400-400-400-2-2-2-2-2-2-2-20000122111220000000000000000-13-300-13-3000000000000000000000000
χ504444-44-444400-400-400-2-2-2-2-2-2-2-20000122111220000000000000000-1-3300-1-33000000000000000000000000
χ5144-4-444-44-4-400400-4004-24-2-4-4220000-24-2-222-420000000000000000-20000200000000000000000000000000
χ5244-4-444-44-4-400400-400-24-2422-4-40000-2-24-2222-40000000000000000-20000200000000000000000000000000
χ5344-4-444-44-4-400400-400-2-2-2-2222200001-2-21-1-122000000000000000013-300-1-33000000000000000000000000
χ5444-4-444-44-4-400400-400-2-2-2-2222200001-2-21-1-12200000000000000001-3300-13-3000000000000000000000000
χ5544-4-4-4444-4-44-4-4444-4-4-2-2-2-2222200001221-1-1-2-200000000000000-2-2-111221-1-1000000000000000000000000
χ5644-4-4-4444-4-4-44-4-4-4444-2-2-2-2222200001221-1-1-2-20000000000000022-1-1-1-2-2111000000000000000000000000
χ574-44i−4i040-44i−4i000000004-2-424i−4i−2i2i0000-2002−2i2i000000000022−22−2i22i20000000000000000000000000000−22i2−i20000
χ584-44i−4i040-44i−4i000000004-2-424i−4i−2i2i0000-2002−2i2i0000000000−22222i2−2i200000000000000000000000000002−2−i2i20000
χ594-44i−4i040-44i−4i00000000-242-4−2i2i4i−4i0000-2002−2i2i00000022−22−2i22i20000000000000000000000000000−22i2−i200000000
χ604-44i−4i040-44i−4i00000000-242-4−2i2i4i−4i0000-2002−2i2i000000−22222i2−2i200000000000000000000000000002−2−i2i200000000
χ614-4−4i4i040-4−4i4i000000004-2-42−4i4i2i−2i0000-20022i−2i000000000022−222i2−2i20000000000000000000000000000−22−i2i20000
χ624-4−4i4i040-4−4i4i000000004-2-42−4i4i2i−2i0000-20022i−2i0000000000−2222−2i22i200000000000000000000000000002−2i2−i20000
χ634-4−4i4i040-4−4i4i00000000-242-42i−2i−4i4i0000-20022i−2i00000022−222i2−2i20000000000000000000000000000−22−i2i200000000
χ644-4−4i4i040-4−4i4i00000000-242-42i−2i−4i4i0000-20022i−2i000000−2222−2i22i200000000000000000000000000002−2i2−i200000000
χ6566666-36-3-3-366-3-3-3-3-3-30000000022220000000022-1-100000000-1-10000000000200200-1-1-1-1-1-1000000000000
χ6666666-36-3-3-366-3-3-3-3-3-300000000-2-2-2-200000000-2-21100000000110000000000-200-200111111000000000000
χ6766666-36-3-3-3-6-6-333-3330000000022220000000022-1-100000000-1-10000000000-200-200-111-111000000000000
χ6866666-36-3-3-3-6-6-333-33300000000-2-2-2-200000000-2-211000000001100000000002002001-1-11-1-1000000000000
χ696666-6-3-6-3-3-3003−3i33i33−3i33i300000000222200000000-2-2-1-100000000-1-100000000000000001−i3i31−i3i3000000000000
χ706666-6-3-6-3-3-3003−3i33i33−3i33i300000000-2-2-2-200000000221100000000110000000000000000-1i3−i3-1i3−i3000000000000
χ716666-6-3-6-3-3-30033i3−3i333i3−3i300000000222200000000-2-2-1-100000000-1-100000000000000001i3−i31i3−i3000000000000
χ726666-6-3-6-3-3-30033i3−3i333i3−3i300000000-2-2-2-200000000221100000000110000000000000000-1−i3i3-1−i3i3000000000000
χ7366-6-66-3-6-33300-3−3i33i333i3−3i30000000022-2-2000000002-2-1-100000000110000000000000000-1−i3i31i3−i3000000000000
χ7466-6-66-3-6-33300-3−3i33i333i3−3i300000000-2-22200000000-221100000000-1-100000000000000001i3−i3-1−i3i3000000000000
χ7566-6-66-3-6-33300-33i3−3i33−3i33i30000000022-2-2000000002-2-1-100000000110000000000000000-1i3−i31−i3i3000000000000
χ7666-6-66-3-6-33300-33i3−3i33−3i33i300000000-2-22200000000-221100000000-1-100000000000000001−i3i3-1i3−i3000000000000
χ7766-6-6-6-36-3336-63-3-3-3330000000022-2-200000000-22-1-100000000110000000000200-2001-1-1-111000000000000
χ7866-6-6-6-36-3336-63-3-3-33300000000-2-222000000002-21100000000-1-10000000000-200200-1111-1-1000000000000
χ7966-6-6-6-36-333-66333-3-3-30000000022-2-200000000-22-1-100000000110000000000-200200111-1-1-1000000000000
χ8066-6-6-6-36-333-66333-3-3-300000000-2-222000000002-21100000000-1-10000000000200-200-1-1-1111000000000000
χ818-88i−8i080-88i−8i00000000-4-444−4i4i−4i4i0000200-22i−2i00000000000000000000000000000000000000000000000000
χ828-8−8i8i080-8−8i8i00000000-4-4444i−4i4i−4i0000200-2−2i2i00000000000000000000000000000000000000000000000000
χ8312-1212i−12i0-606−6i6i00000000000000004-44i−4i0000000000-2200000000−2i2i0000000000000000000000000000000000
χ8412-1212i−12i0-606−6i6i0000000000000000-44−4i4i00000000002-2000000002i−2i0000000000000000000000000000000000
χ8512-12−12i12i0-6066i−6i00000000000000004-4−4i4i0000000000-22000000002i−2i0000000000000000000000000000000000
χ8612-12−12i12i0-6066i−6i0000000000000000-444i−4i00000000002-200000000−2i2i0000000000000000000000000000000000

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