Finite Group Databasebeta

← Group #13151942

Character table — Group #13151942

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111122222244446666666688999912121212121212121212121218181818181818181818181818182424242424242424363636363636363636363636363636363636363672727272
order12442346121224612336612121212612224436666612121212121224668888888812126666121212122224446661212122424242424242424661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-11-1-11-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111-1-11111111111-1-11111111-1-111-1-111111111111111111-11-1-1-11-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1
χ61111111111-1-11111111111-1-11111111-1-111-1-11111111-1-1-1-1-1-1-1-111-11-1-1-11-1-1-111-1111-1-11-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11111111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-11-1-1-11-1-11-111-11-111-1111111-1-1-1-1-11-11
χ81111111111-1-11111111111-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-11-1-1-11-1-111-111-1-111-111-1-1-1-111111-11-1
χ911-1-1-1111-1-11-1-111111-1-1-1-11-111-1-11-1-11111-1-1-1-11-111111-1-111-1-1-1-11-111-11-1-1111-1-1-1-1111-1-111-1-111-1-111-1-1
χ1011-1-1-1111-1-11-1-111111-1-1-1-11-111-1-11-1-11111-1-1-1-11-1111-1-111-1-111-1-11-111-11-1-11-1-1-111-1111-1-1-1-111-1-111-1-111
χ1111-1-1-1111-1-11-1-111111-1-1-1-11-1-1-1111-1-11111-1-1-1-111-1-1-111-1-1-1-111111-111-11-1-1-11-11-111-1-1-11111-1-1-1-1111-1-11
χ1211-1-1-1111-1-11-1-111111-1-1-1-11-1-1-1111-1-11111-1-1-1-111-1-1-1-1-11111-1-1111-111-11-1-1-1-1111-11-1-1-111-1-11111-1-1-111-1
χ1311-1-1-1111-1-1-11-111111-1-1-1-1-1111-1-11-1-1-1-11111-1-11-111111-1-111-1-1-1-1-1-1-1-11111-1-1-1111-1-1-111111-1-111-1-1-1-111
χ1411-1-1-1111-1-1-11-111111-1-1-1-1-1111-1-11-1-1-1-11111-1-11-1111-1-111-1-111-1-1-1-1-1-11111-1111-1-1-1-1-1111-1-111-1-11111-1-1
χ1511-1-1-1111-1-1-11-111111-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1-1-111111-11-11-1111-1-1-111-1-1-1-111-111-1
χ1611-1-1-1111-1-1-11-111111-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111-1-1-1-1-11111-1-11-1-11
χ17222222222222222-12-122-1-1222222-12-1-1-1-1-1-1-1-1-1222-1-100000000-1-12-1-1-12-1-1-1200200-1-1-1-1-1-1000000000000
χ18222222222222222-12-122-1-122-2-2-2-2-12-1-1-1-1-1-1-1-1-12-2-21100000000112-1-1-12-1-1-1-200-200111111000000000000
χ1922222222222222-12-12-1-122220000-1-1222-1222-1-1-100000000222200-1-1-1-1-1-1-1-10020020000000000-1-1-1-10-10-1
χ2022222222222222-12-12-1-122220000-1-1222-1222-1-1-100000000-2-2-2-200-1-1-1-1-1-1-1-100-200-2000000000011110101
χ212222222222-2-2222-12-122-1-1-2-22222-12-111-1-111-1-1222-1-100000000-1-1-2-111-2-111-200-200-111-111000000000000
χ222222222222-2-2222-12-122-1-1-2-2-2-2-2-2-12-111-1-111-1-12-2-2110000000011-2-111-2-1112002001-1-11-1-1000000000000
χ232222222222-2-222-12-12-1-122-2-20000-1-12-2-2-12-2-2-1-1-1000000002222001-1111-11100-200-20000000000-1-1-1-10101
χ242222222222-2-222-12-12-1-122-2-20000-1-12-2-2-12-2-2-1-1-100000000-2-2-2-2001-1111-111002002000000000011110-10-1
χ252222-22-222200-2-2222222220022222-2-2002-20022-2-2-22200000000220-2000-200000000-200-200000000000000
χ262222-22-222200-2-22222222200-2-2-2-22-2-2002-20022-222-2-200000000-2-20-2000-200000000200200000000000000
χ272222-22-222200-2-22-12-122-1-1002222-1-21−i3i3-11−i3i3-1-1-2-2-2-1-100000000-1-101−i3i301−i3i30000001−i3i31−i3i3000000000000
χ282222-22-222200-2-22-12-122-1-1002222-1-21i3−i3-11i3−i3-1-1-2-2-2-1-100000000-1-101i3−i301i3−i30000001i3−i31i3−i3000000000000
χ292222-22-222200-2-22-12-122-1-100-2-2-2-2-1-21−i3i3-11−i3i3-1-1-22211000000001101−i3i301−i3i3000000-1i3−i3-1i3−i3000000000000
χ302222-22-222200-2-22-12-122-1-100-2-2-2-2-1-21i3−i3-11i3−i3-1-1-22211000000001101i3−i301i3−i3000000-1−i3i3-1−i3i3000000000000
χ3122-2-222-22-2-2002-22222-2-2-2-20022-2-2222002-200-2-2-22-22200000000-2-202000-200000000200-200000000000000
χ3222-2-222-22-2-2002-22222-2-2-2-200-2-222222002-200-2-2-2-22-2-2000000002202000-200000000-200200000000000000
χ3322-2-222-22-2-2002-22-12-1-2-2110022-2-2-12-1−i3i3-11i3−i311-22-2-1-100000000110-1−i3i301i3−i3000000-1−i3i31i3−i3000000000000
χ3422-2-222-22-2-2002-22-12-1-2-2110022-2-2-12-1i3−i3-11−i3i311-22-2-1-100000000110-1i3−i301−i3i3000000-1i3−i31−i3i3000000000000
χ3522-2-222-22-2-2002-22-12-1-2-21100-2-222-12-1−i3i3-11i3−i311-2-221100000000-1-10-1−i3i301i3−i30000001i3−i3-1−i3i3000000000000
χ3622-2-222-22-2-2002-22-12-1-2-21100-2-222-12-1i3−i3-11−i3i311-2-221100000000-1-10-1i3−i301−i3i30000001−i3i3-1i3−i3000000000000
χ3722-2-2-2222-2-22-2-222-12-1-2-2112-222-2-2-1-21-1-1-1-111112-22-1-1000000001121-1-1-2-111200-2001-1-1-111000000000000
χ3822-2-2-2222-2-22-2-222-12-1-2-2112-2-2-222-1-21-1-1-1-1111122-21100000000-1-121-1-1-2-111-200200-1111-1-1000000000000
χ3922-2-2-2222-2-22-2-22-12-1211-2-22-20000-11-222-12-2-211-10000000022-2-200-11-1-11-11100200-20000000000-1-1110-101
χ4022-2-2-2222-2-22-2-22-12-1211-2-22-20000-11-222-12-2-211-100000000-2-22200-11-1-11-11100-2002000000000011-1-1010-1
χ4122-2-2-2222-2-2-22-222-12-1-2-211-2222-2-2-1-2111-1-1-1-1112-22-1-10000000011-21112-1-1-1-200200111-1-1-1000000000000
χ4222-2-2-2222-2-2-22-222-12-1-2-211-22-2-222-1-2111-1-1-1-11122-21100000000-1-1-21112-1-1-1200-200-1-1-1111000000000000
χ4322-2-2-2222-2-2-22-22-12-1211-2-2-220000-11-2-2-2-122211-10000000022-2-2001111-1-1-1-100-20020000000000-1-111010-1
χ4422-2-2-2222-2-2-22-22-12-1211-2-2-220000-11-2-2-2-122211-100000000-2-222001111-1-1-1-100200-2000000000011-1-10-101
χ452-22i−2i020-22i−2i000022-2-22i−2i2i−2i002-22i−2i20000-20002i−2i0002-22−2−i2i22−2−i2i22i−2i000000000000000000002−2−i2i22−2−i2i20000
χ462-22i−2i020-22i−2i000022-2-22i−2i2i−2i002-22i−2i20000-20002i−2i0002-2−22i2−i2−22i2−i22i−2i00000000000000000000−22i2−i2−22i2−i20000
χ472-22i−2i020-22i−2i000022-2-22i−2i2i−2i00-22−2i2i20000-20002i−2i000-222−2−i2i2−22i2−i2−2i2i000000000000000000002−2−i2i2−22i2−i20000
χ482-22i−2i020-22i−2i000022-2-22i−2i2i−2i00-22−2i2i20000-20002i−2i000-22−22i2−i22−2−i2i2−2i2i00000000000000000000−22i2−i22−2−i2i20000
χ492-2−2i2i020-2−2i2i000022-2-2−2i2i−2i2i002-2−2i2i20000-2000−2i2i0002-22−2i2−i22−2i2−i2−2i2i000000000000000000002−2i2−i22−2i2−i20000
χ502-2−2i2i020-2−2i2i000022-2-2−2i2i−2i2i002-2−2i2i20000-2000−2i2i0002-2−22−i2i2−22−i2i2−2i2i00000000000000000000−22−i2i2−22−i2i20000
χ512-2−2i2i020-2−2i2i000022-2-2−2i2i−2i2i00-222i−2i20000-2000−2i2i000-222−2i2−i2−22−i2i22i−2i000000000000000000002−2i2−i2−22−i2i20000
χ522-2−2i2i020-2−2i2i000022-2-2−2i2i−2i2i00-222i−2i20000-2000−2i2i000-22−22−i2i22−2i2−i22i−2i00000000000000000000−22−i2i22−2i2−i20000
χ5344444444444444-2-2-2-2-2-2-2-24400001-2-2-2-21-2-2-211-200000000000000-2111-2111000000000000000000000000
χ544444444444-4-444-2-2-2-2-2-2-2-2-4-400001-2-2221-22211-20000000000000021-1-121-1-1000000000000000000000000
χ554444-44-444400-4-4-24-24-2-244000000-22-400-2-400-2-220000000000000002000200000000000000000000000000
χ564444-44-444400-4-4-2-2-2-2-2-2-2-2000000122−2i32i312−2i32i3112000000000000000-1i3−i30-1i3−i3000000000000000000000000
χ574444-44-444400-4-4-2-2-2-2-2-2-2-20000001222i3−2i3122i3−2i3112000000000000000-1−i3i30-1−i3i3000000000000000000000000
χ5844-4-444-44-4-4004-4-24-2422-4-4000000-2-2400-2-400222000000000000000-2000200000000000000000000000000
χ5944-4-444-44-4-4004-4-2-2-2-222220000001-2-2−2i32i3122i3−2i3-1-120000000000000001i3−i30-1−i3i3000000000000000000000000
χ6044-4-444-44-4-4004-4-2-2-2-222220000001-2-22i3−2i312−2i32i3-1-120000000000000001−i3i30-1i3−i3000000000000000000000000
χ6144-4-4-4444-4-44-4-44-2-2-2-222224-40000122-2-21-222-1-1-200000000000000-2-11121-1-1000000000000000000000000
χ6244-4-4-4444-4-4-44-44-2-2-2-22222-440000122221-2-2-2-1-1-2000000000000002-1-1-1-2111000000000000000000000000
χ634-44i−4i040-44i−4i00004-2-424i−4i−2i2i004-44i−4i-200002000−2i2i000-2200000000−2i2i00000000000000000000000000000000
χ644-44i−4i040-44i−4i00004-2-424i−4i−2i2i00-44−4i4i-200002000−2i2i0002-2000000002i−2i00000000000000000000000000000000
χ654-44i−4i040-44i−4i0000-242-4−2i2i4i−4i000000-200002000−2i2i00000000022−22−2i22i200000000000000000000000000−22i2−i20000
χ664-44i−4i040-44i−4i0000-242-4−2i2i4i−4i000000-200002000−2i2i000000000−22222i2−2i2000000000000000000000000002−2−i2i20000
χ674-4−4i4i040-4−4i4i00004-2-42−4i4i2i−2i004-4−4i4i-2000020002i−2i000-22000000002i−2i00000000000000000000000000000000
χ684-4−4i4i040-4−4i4i00004-2-42−4i4i2i−2i00-444i−4i-2000020002i−2i0002-200000000−2i2i00000000000000000000000000000000
χ694-4−4i4i040-4−4i4i0000-242-42i−2i−4i4i000000-2000020002i−2i00000000022−222i2−2i200000000000000000000000000−22−i2i20000
χ704-4−4i4i040-4−4i4i0000-242-42i−2i−4i4i000000-2000020002i−2i000000000−2222−2i22i2000000000000000000000000002−2i2−i20000
χ7166666-36-3-3-366-3-300000000-3-300000000000000000000222200000000000000020020000000-1-1-1-10000-10-10
χ7266666-36-3-3-366-3-300000000-3-300000000000000000000-2-2-2-2000000000000000-200-20000000111100001010
χ7366666-36-3-3-3-6-6-3-30000000033000000000000000000002222000000000000000-200-20000000-1-1-1-100001010
χ7466666-36-3-3-3-6-6-3-3000000003300000000000000000000-2-2-2-20000000000000002002000000011110000-10-10
χ7566-6-6-6-36-3336-63-300000000-330000000000000000000022-2-2000000000000000200-20000000-1-1110000-1010
χ7666-6-6-6-36-3336-63-300000000-3300000000000000000000-2-222000000000000000-2002000000011-1-1000010-10
χ7766-6-6-6-36-333-663-3000000003-30000000000000000000022-2-2000000000000000-20020000000-1-111000010-10
χ7866-6-6-6-36-333-663-3000000003-300000000000000000000-2-222000000000000000200-2000000011-1-10000-1010
χ798-88i−8i080-88i−8i0000-4-444−4i4i−4i4i00000020000-20002i−2i00000000000000000000000000000000000000000000000
χ808-8−8i8i080-8−8i8i0000-4-4444i−4i4i−4i00000020000-2000−2i2i00000000000000000000000000000000000000000000000
χ8112121212-12-6-12-6-6-60066000000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-1212-6-12-66600-66000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212i−12i0-606−6i6i000000000000000000000000000000000022−22−2i22i200000000000000000000000000−22i2−i200000000
χ8412-1212i−12i0-606−6i6i0000000000000000000000000000000000−22222i2−2i2000000000000000000000000002−2−i2i200000000
χ8512-12−12i12i0-6066i−6i000000000000000000000000000000000022−222i2−2i200000000000000000000000000−22−i2i200000000
χ8612-12−12i12i0-6066i−6i0000000000000000000000000000000000−2222−2i22i2000000000000000000000000002−2i2−i200000000

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