Finite Group Databasebeta

← Group #13147915

Character table — Group #13147915

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444446666666666661212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363636367272727272727272
order1222344666441212121212123366666612121212366612121212121212121212121212121212121212121212224422224444446666121212126661212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-1-11-11-111-1-111-1-11-111-11-1-1
χ61111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-11-1-11-1111-1-111-1-1-11-1-11-111
χ71111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-111-1-1111-1-11-1-111
χ81111111111-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-111-1-111-111-111-1-1
χ911111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-1-11-111111-1-1-1-11-11-11-11-1
χ1011111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-11-11-11111-1-1-1-1-11-11-11-11
χ1111111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-111-111-1-1-1-1-111111-1-1-111-11
χ1211111-1-11111-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-1-11-1-1-1-11111-1111-1-11-1
χ1311111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-111111-1-1-1-111-1-1-1-111111-1-1-1-11
χ1411111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-111-1-1-11111-1
χ1511111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-11111-1-111-1-1-111-1
χ1611111-1-1111-11-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-111-111-1-1-1-11111-1-1-1-1111-1-11
χ172222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222000020000-1-1-1-1-1-1-1-100000000
χ182222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20000-200001111111100000000
χ19222222222222222222-1222-1-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000022000220000000000-100-1-1-1
χ20222222222222222222-1222-1-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-2-2000-2-20000000000100111
χ212222222222-2-222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1111122-2-2-2-2-1-1-1-1111111112222-20000-20000-1-111-1-11100000000
χ222222222222-2-222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1111122-2-2-2-2-1-1-1-111111111-2-2-2-2200002000011-1-111-1-100000000
χ232222222222-2-222-2-2-2-2-1222-1-1-122222-1-1-1-1-2-2-2-2-1-11111-1-1-1-11111111100000002-20002-20000000000-100-111
χ242222222222-2-222-2-2-2-2-1222-1-1-122222-1-1-1-1-2-2-2-2-1-11111-1-1-1-1111111110000000-22000-2200000000001001-1-1
χ2522222-2-22222-2-2-222-2-22-1-1-1222-11111-1-1-1-1-1-111-2-222-2-21111-1-1-1-1111122-2-220000-20000-1-1-1-1111100000000
χ2622222-2-22222-2-2-222-2-22-1-1-1222-11111-1-1-1-1-1-111-2-222-2-21111-1-1-1-11111-2-222-20000200001111-1-1-1-100000000
χ2722222-2-22222-2-2-222-2-2-1222-1-1-12-2-2-2-2-1-1-1-122-2-211-1-1111111-1-1-1-1111100000002-2000-220000000000-1001-11
χ2822222-2-22222-2-2-222-2-2-1222-1-1-12-2-2-2-2-1-1-1-122-2-211-1-1111111-1-1-1-111110000000-220002-20000000000100-11-1
χ2922222-2-2222-22-2-2-2-2222-1-1-1222-11111-1-1-1-111-1-1-2-2-2-22211111111-1-1-1-122-2-2-2000020000-1-11111-1-100000000
χ3022222-2-2222-22-2-2-2-2222-1-1-1222-11111-1-1-1-111-1-1-2-2-2-22211111111-1-1-1-1-2-22220000-2000011-1-1-1-11100000000
χ3122222-2-2222-22-2-2-2-222-1222-1-1-12-2-2-2-2-1-1-1-1-2-2221111-1-111111111-1-1-1-1000000022000-2-20000000000-10011-1
χ3222222-2-2222-22-2-2-2-222-1222-1-1-12-2-2-2-2-1-1-1-1-2-2221111-1-111111111-1-1-1-10000000-2-2000220000000000100-1-11
χ3322-2-222i−2i2-2-2002i−2i0000222-22-2-2-22i2i−2i−2i22-2-200002i−2i00002i2i−2i−2i000000002-22i−2i00000000002-2002i−2i0000000000
χ3422-2-222i−2i2-2-2002i−2i0000222-22-2-2-22i2i−2i−2i22-2-200002i−2i00002i2i−2i−2i00000000-22−2i2i0000000000-2200−2i2i0000000000
χ3522-2-222i−2i2-2-2002i−2i00002-1-112-2-21−i−iii-1-111−i3i33−32i−2i0000−i−iii−i3−i3i3i333−3−32-22i−2i0000000000-11−i3i3−ii3−300000000
χ3622-2-222i−2i2-2-2002i−2i00002-1-112-2-21−i−iii-1-111−i3i33−32i−2i0000−i−iii−i3−i3i3i333−3−3-22−2i2i00000000001-1i3−i3i−i−3300000000
χ3722-2-222i−2i2-2-2002i−2i00002-1-112-2-21−i−iii-1-111i3−i3−332i−2i0000−i−iiii3i3−i3−i3−3−3332-22i−2i0000000000-11i3−i3−ii−3300000000
χ3822-2-222i−2i2-2-2002i−2i00002-1-112-2-21−i−iii-1-111i3−i3−332i−2i0000−i−iiii3i3−i3−i3−3−333-22−2i2i00000000001-1−i3i3i−i3−300000000
χ3922-2-22−2i2i2-2-200−2i2i0000222-22-2-2-2−2i−2i2i2i22-2-20000−2i2i0000−2i−2i2i2i000000002-2−2i2i00000000002-200−2i2i0000000000
χ4022-2-22−2i2i2-2-200−2i2i0000222-22-2-2-2−2i−2i2i2i22-2-20000−2i2i0000−2i−2i2i2i00000000-222i−2i0000000000-22002i−2i0000000000
χ4122-2-22−2i2i2-2-200−2i2i00002-1-112-2-21ii−i−i-1-111−i3i3−33−2i2i0000ii−i−i−i3−i3i3i3−3−3332-2−2i2i0000000000-11−i3i3i−i−3300000000
χ4222-2-22−2i2i2-2-200−2i2i00002-1-112-2-21ii−i−i-1-111−i3i3−33−2i2i0000ii−i−i−i3−i3i3i3−3−333-222i−2i00000000001-1i3−i3−ii3−300000000
χ4322-2-22−2i2i2-2-200−2i2i00002-1-112-2-21ii−i−i-1-111i3−i33−3−2i2i0000ii−i−ii3i3−i3−i333−3−32-2−2i2i0000000000-11i3−i3i−i3−300000000
χ4422-2-22−2i2i2-2-200−2i2i00002-1-112-2-21ii−i−i-1-111i3−i33−3−2i2i0000ii−i−ii3i3−i3−i333−3−3-222i−2i00000000001-1−i3i3−ii−3300000000
χ45444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
χ464444444444-4-444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-211112222-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000
χ4744444-4-44444-4-4-444-4-4-2-2-2-2-2-2-2-222221111-2-22222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000
χ4844444-4-4444-44-4-4-4-444-2-2-2-2-2-2-2-22222111122-2-22222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ4944-4-444i−4i4-4-4004i−4i0000-244-4-222-44i4i−4i−4i-2-2220000−2i2i0000−2i−2i2i2i00000000000000000000000000000000000000
χ5044-4-444i−4i4-4-4004i−4i0000-2-2-22-2222−2i−2i2i2i11-1-1−2i32i323−23−2i2i0000ii−i−ii3i3−i3−i3−3−333000000000000000000000000000000
χ5144-4-444i−4i4-4-4004i−4i0000-2-2-22-2222−2i−2i2i2i11-1-12i3−2i3−2323−2i2i0000ii−i−i−i3−i3i3i333−3−3000000000000000000000000000000
χ5244-4-44−4i4i4-4-400−4i4i0000-244-4-222-4−4i−4i4i4i-2-22200002i−2i00002i2i−2i−2i00000000000000000000000000000000000000
χ5344-4-44−4i4i4-4-400−4i4i0000-2-2-22-22222i2i−2i−2i11-1-1−2i32i3−23232i−2i0000−i−iiii3i3−i3−i333−3−3000000000000000000000000000000
χ5444-4-44−4i4i4-4-400−4i4i0000-2-2-22-22222i2i−2i−2i11-1-12i3−2i323−232i−2i0000−i−iii−i3−i3i3i3−3−333000000000000000000000000000000
χ554-44-4400-44-40000000044-4-4-44-4400004-44-40000000000000000000000000000000000000000000000000000
χ564-44-4400-44-4000000004-222-44-4-2−2i32i3−2i32i3-22-220000000000−2i32i3−2i32i300000000000000000000000000000000000000
χ574-44-4400-44-4000000004-222-44-4-22i3−2i32i3−2i3-22-2200000000002i3−2i32i3−2i300000000000000000000000000000000000000
χ584-44-4400-44-400000000-24-4-42-2240000-22-220000000023−230000000023−2323−23000000000000000000000000000000
χ594-44-4400-44-400000000-24-4-42-2240000-22-2200000000−232300000000−2323−2323000000000000000000000000000000
χ604-44-4400-44-400000000-2-2222-22-2−2i32i3−2i32i31-11-10000000023−23i3−i3i3−i33i−3i3i−3i−33−33000000000000000000000000000000
χ614-44-4400-44-400000000-2-2222-22-2−2i32i3−2i32i31-11-100000000−2323i3−i3i3−i3−3i3i−3i3i3−33−3000000000000000000000000000000
χ624-44-4400-44-400000000-2-2222-22-22i3−2i32i3−2i31-11-10000000023−23−i3i3−i3i3−3i3i−3i3i−33−33000000000000000000000000000000
χ634-44-4400-44-400000000-2-2222-22-22i3−2i32i3−2i31-11-100000000−2323−i3i3−i3i33i−3i3i−3i3−33−3000000000000000000000000000000
χ644-4-44400-4-440000000044-44-4-44-400004-4-440000000000000000000000000000000000000000000000000000
χ654-4-44400-4-44000000004-22-2-4-44223−23−2323-222-2000000000023−23−232300000000000000000000000000000000000000
χ664-4-44400-4-44000000004-22-2-4-442−232323−23-222-20000000000−232323−2300000000000000000000000000000000000000
χ674-4-44400-4-4400000000-24-4422-2-40000-222-200000023−2300000023−23−23230000000000000000000000000000000000
χ684-4-44400-4-4400000000-24-4422-2-40000-222-2000000−2323000000−232323−230000000000000000000000000000000000
χ694-4-44400-4-4400000000-2-22-222-2223−23−23231-1-1100000023−2300−333−3−333−3-333-3000000000000000000000000000000
χ704-4-44400-4-4400000000-2-22-222-2223−23−23231-1-11000000−232300−333−33−3−333-3-33000000000000000000000000000000
χ714-4-44400-4-4400000000-2-22-222-22−232323−231-1-1100000023−23003−3−33−333−33-3-33000000000000000000000000000000
χ724-4-44400-4-4400000000-2-22-222-22−232323−231-1-11000000−2323003−3−333−3−33-333-3000000000000000000000000000000
χ736666-366-3-3-366-3-3-3-3-3-3000000000000000000000000000000000000000000022000220000000000-1-10-1-1000
χ746666-366-3-3-366-3-3-3-3-3-30000000000000000000000000000000000000000000-2-2000-2-2000000000011011000
χ756666-366-3-3-3-6-6-3-3333300000000000000000000000000000000000000000002-20002-20000000000-110-11000
χ766666-366-3-3-3-6-6-3-333330000000000000000000000000000000000000000000-22000-2200000000001-101-1000
χ776666-3-6-6-3-3-36-633-3-33300000000000000000000000000000000000000000002-2000-220000000000-1101-1000
χ786666-3-6-6-3-3-36-633-3-3330000000000000000000000000000000000000000000-220002-200000000001-10-11000
χ796666-3-6-6-3-3-3-663333-3-3000000000000000000000000000000000000000000022000-2-20000000000-1-1011000
χ806666-3-6-6-3-3-3-663333-3-30000000000000000000000000000000000000000000-2-2000220000000000110-1-1000
χ811212-12-12-612i−12i-66600−6i6i000000000000000000000000000000000000000000000000000000000000000000000000
χ821212-12-12-6−12i12i-666006i−6i000000000000000000000000000000000000000000000000000000000000000000000000
χ8312-1212-12-6006-66000063−630000000000000000000000000000000000000000000000000000000000000000000000
χ8412-1212-12-6006-660000−63630000000000000000000000000000000000000000000000000000000000000000000000
χ8512-12-1212-60066-6000000−6i36i300000000000000000000000000000000000000000000000000000000000000000000
χ8612-12-1212-60066-60000006i3−6i300000000000000000000000000000000000000000000000000000000000000000000

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