Finite Group Databasebeta

← Group #13147875

Character table — Group #13147875

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222222222222444446666666666661212121212121212121212121212121212121212121212121212181818181818181836363636363636363636363636363636363636363636363672727272
order122234444666121212124121212123366666612121212366612121212121212121212121212121212121212121212222244442244444466666666121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11-111-1-111-1-1-1-1-1-111-1-1111111-1-1
χ61111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ71111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-111-1-1-1-1-1-1111111-1-111
χ81111111-1-11111111-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ911111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-1-11-11-1111111-1-1-1-1-1-111-1-11-11-1
χ1011111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-11-1-1-11-111111-1-111-1-1-1-1-1-111-11-11
χ1111111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-111-11-11-1-1-1-111-1-1111111-1-1-11-11
χ1211111-1-111111-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-1111-11-1
χ1311111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111-1-1111-1-1-1-111-1-11111-1-11-1-11
χ1411111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-111-111-1-111-1-1-1-111-1-111-111-1
χ1511111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-1-1-111-1-11111-1-111-1-1-111-1
χ1611111-1-1-1-1111-1-1-1-11-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-11-11-1-11-1-11111-1-111-1-1-1-1111-1-11
χ172222222222222222222222-122-1-1-12-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222220000000000-1-1-1-10000-1-1-1-10000
χ182222222222222222222222-122-1-1-12-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-200000000001111000011110000
χ19222222222222222222222-12-1-1222-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022220000000000000000-1-1-1-1
χ20222222222222222222222-12-1-1222-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000000000001111
χ212222222-2-22222222-2-2-2-2-22-122-1-1-121111-1-1-1-122-1-1-2-211-2-2-1-1-1-11111111100002222-2-2000000000011110000-1-1-1-10000
χ222222222-2-22222222-2-2-2-2-22-122-1-1-121111-1-1-1-122-1-1-2-211-2-2-1-1-1-1111111110000-2-2-2-2220000000000-1-1-1-1000011110000
χ232222222-2-22222222-2-2-2-2-2-12-1-1222-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-11111111100000000000022-2-20000000000000000-1-111
χ242222222-2-22222222-2-2-2-2-2-12-1-1222-1-2-2-2-2-1-1-1-1-1-12211-2-211-1-1-1-111111111000000000000-2-222000000000000000011-1-1
χ2522222-2-222222-2-2-2-2-222-2-22-122-1-1-12-1-1-1-1-1-1-1-1-2-211-2-211221111-1-1-1-11111000022-2-22-20000000000-1-1110000-1-1110000
χ2622222-2-222222-2-2-2-2-222-2-22-122-1-1-12-1-1-1-1-1-1-1-1-2-211-2-211221111-1-1-1-111110000-2-222-22000000000011-1-1000011-1-10000
χ2722222-2-222222-2-2-2-2-222-2-2-12-1-1222-12222-1-1-1-111-2-211-2-2-1-11111-1-1-1-111110000000000002-22-20000000000000000-11-11
χ2822222-2-222222-2-2-2-2-222-2-2-12-1-1222-12222-1-1-1-111-2-211-2-2-1-11111-1-1-1-11111000000000000-22-2200000000000000001-11-1
χ2922222-2-2-2-2222-2-2-2-22-2-2222-122-1-1-121111-1-1-1-1-2-21122-1-1-2-211111111-1-1-1-1000022-2-2-22000000000011-1-10000-1-1110000
χ3022222-2-2-2-2222-2-2-2-22-2-2222-122-1-1-121111-1-1-1-1-2-21122-1-1-2-211111111-1-1-1-10000-2-2222-20000000000-1-111000011-1-10000
χ3122222-2-2-2-2222-2-2-2-22-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-2-2-1-1221111111111-1-1-1-10000000000002-2-220000000000000000-111-1
χ3222222-2-2-2-2222-2-2-2-22-2-222-12-1-1222-1-2-2-2-2-1-1-1-111-2-2-1-1221111111111-1-1-1-1000000000000-222-200000000000000001-1-11
χ332-22-222-200-2-2222-2-200000222-22-2-2-2000022-2-22-22-200000022-2-20000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ342-22-222-200-2-2222-2-200000222-22-2-2-2000022-2-22-22-200000022-2-2000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ352-22-222-200-2-2222-2-2000002-12-2-111-233−3−3-1-1112-2-11003−300-1-11133−3−333−3−300002i−2i2i−2i000000000000−i3i3−i3i30000−ii−ii0000
χ362-22-222-200-2-2222-2-2000002-12-2-111-233−3−3-1-1112-2-11003−300-1-11133−3−333−3−30000−2i2i−2i2i000000000000i3−i3i3−i30000i−ii−i0000
χ372-22-222-200-2-2222-2-2000002-12-2-111-2−3−333-1-1112-2-1100−3300-1-111−3−333−3−33300002i−2i2i−2i000000000000i3−i3i3−i30000−ii−ii0000
χ382-22-222-200-2-2222-2-2000002-12-2-111-2−3−333-1-1112-2-1100−3300-1-111−3−333−3−3330000−2i2i−2i2i000000000000−i3i3−i3i30000i−ii−i0000
χ392-22-22-2200-2-22-2-22200000222-22-2-2-2000022-2-2-22-22000000-2-2220000000000002i−2i−2i2i000000000000000000002i−2i−2i2i0000
χ402-22-22-2200-2-22-2-22200000222-22-2-2-2000022-2-2-22-22000000-2-222000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i0000
χ412-22-22-2200-2-22-2-222000002-12-2-111-233−3−3-1-111-221-100−330011-1-133−3−3−3−33300002i−2i−2i2i000000000000−i3i3i3−i30000−iii−i0000
χ422-22-22-2200-2-22-2-222000002-12-2-111-233−3−3-1-111-221-100−330011-1-133−3−3−3−3330000−2i2i2i−2i000000000000i3−i3−i3i30000i−i−ii0000
χ432-22-22-2200-2-22-2-222000002-12-2-111-2−3−333-1-111-221-1003−30011-1-1−3−33333−3−300002i−2i−2i2i000000000000i3−i3−i3i30000−iii−i0000
χ442-22-22-2200-2-22-2-222000002-12-2-111-2−3−333-1-111-221-1003−30011-1-1−3−33333−3−30000−2i2i2i−2i000000000000−i3i3i3−i30000i−i−ii0000
χ452-2-222002-22-2-2000002-20022-2-2-2-2222-22-22-22-2000000002-200002-22-200002-22-20000000000002-22-20000000000000000
χ462-2-222002-22-2-2000002-20022-2-2-2-2222-22-22-22-2000000002-200002-22-20000-22-22000000000000-22-220000000000000000
χ472-2-22200-222-2-200000-220022-2-2-2-222-22-222-22-200000000-220000-22-2200002-2-220000000000002-2-220000000000000000
χ482-2-22200-222-2-200000-220022-2-2-2-222-22-222-22-200000000-220000-22-220000-222-2000000000000-222-20000000000000000
χ49444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ504444444-4-44444444-4-4-4-4-4-2-2-2-2-2-2-2-222221111-2-2-2-22222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-4-444444-4-4-4-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111122222222-2-2-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-4-444-2-2-2-2-2-2-2-2222211112222-2-2-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5344-4-440000-44-400000000044-44-44-4-400004-4-440000000000000000000000000000000000000000000000000000000000
χ5444-4-440000-44-40000000004-2-442-22-423−23−2323-222-20000000000000023−23−23230000000000000000000000000000000000000000
χ5544-4-440000-44-40000000004-2-442-22-4−232323−23-222-200000000000000−232323−230000000000000000000000000000000000000000
χ5644-4-440000-44-4000000000-242-2-44-420000-222-20000−2i32i3000000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ5744-4-440000-44-4000000000-242-2-44-420000-222-200002i3−2i30000000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ5844-4-440000-44-4000000000-2-22-22-22223−23−23231-1-110000−2i32i300003i−3i3i−3i−333−3i3−i3i3−i3000000000000000000000000000000000000
χ5944-4-440000-44-4000000000-2-22-22-22223−23−23231-1-1100002i3−2i30000−3i3i−3i3i−333−3−i3i3−i3i3000000000000000000000000000000000000
χ6044-4-440000-44-4000000000-2-22-22-222−232323−231-1-110000−2i32i30000−3i3i−3i3i3−3−33i3−i3i3−i3000000000000000000000000000000000000
χ6144-4-440000-44-4000000000-2-22-22-222−232323−231-1-1100002i3−2i300003i−3i3i−3i3−3−33−i3i3−i3i3000000000000000000000000000000000000
χ624-44-444-400-4-4444-4-400000-24-224-4-420000-2-222-224-4000000-2-22200000000000000000000000000000000000000000000
χ634-44-444-400-4-4444-4-400000-2-2-22-22222323−23−2311-1-1-22-220023−230011-1-1−3−333−3−333000000000000000000000000000000000000
χ644-44-444-400-4-4444-4-400000-2-2-22-2222−23−23232311-1-1-22-2200−23230011-1-133−3−333−3−3000000000000000000000000000000000000
χ654-44-44-4400-4-44-4-44400000-24-224-4-420000-2-2222-2-4400000022-2-200000000000000000000000000000000000000000000
χ664-44-44-4400-4-44-4-44400000-2-2-22-22222323−23−2311-1-12-22-200−232300-1-111−3−33333−3−3000000000000000000000000000000000000
χ674-44-44-4400-4-44-4-44400000-2-2-22-2222−23−23232311-1-12-22-20023−2300-1-11133−3−3−3−333000000000000000000000000000000000000
χ684-4-444004-44-4-4000004-4004-2-4-422-24-22-22-22-22000000004-40000-22-220000000000000000000000000000000000000000
χ694-4-444004-44-4-4000004-400-2422-4-44-24-44-4-22-2200000000-220000-22-220000000000000000000000000000000000000000
χ704-4-444004-44-4-4000004-400-2-22222-2-2-22-221-11-100000000-223i−3i−3i3i1-11-13i−3i−3i3i000000000000000000000000000000000000
χ714-4-444004-44-4-4000004-400-2-22222-2-2-22-221-11-100000000-22−3i3i3i−3i1-11-1−3i3i3i−3i000000000000000000000000000000000000
χ724-4-44400-444-4-400000-44004-2-4-422-242-22-2-22-2200000000-4400002-22-20000000000000000000000000000000000000000
χ734-4-44400-444-4-400000-4400-2422-4-44-2-44-44-22-22000000002-200002-22-20000000000000000000000000000000000000000
χ744-4-44400-444-4-400000-4400-2-22222-2-22-22-21-11-1000000002-23i−3i−3i3i-11-11−3i3i3i−3i000000000000000000000000000000000000
χ754-4-44400-444-4-400000-4400-2-22222-2-22-22-21-11-1000000002-2−3i3i3i−3i-11-113i−3i−3i3i000000000000000000000000000000000000
χ766666-36666-3-3-3-3-3-3-36-3-3-3-3000000000000000000000000000000000000002222000000220000-1-1-1-10000-1-1-1-100000000
χ776666-36666-3-3-3-3-3-3-36-3-3-3-300000000000000000000000000000000000000-2-2-2-2000000-2-2000011110000111100000000
χ786666-366-6-6-3-3-3-3-3-3-3-633330000000000000000000000000000000000000022-2-20000002-20000-1-1110000-1-11100000000
χ796666-366-6-6-3-3-3-3-3-3-3-6333300000000000000000000000000000000000000-2-222000000-22000011-1-1000011-1-100000000
χ806666-3-6-666-3-3-33333-6-3-333000000000000000000000000000000000000002222000000-2-20000-1-1-1-10000111100000000
χ816666-3-6-666-3-3-33333-6-3-33300000000000000000000000000000000000000-2-2-2-200000022000011110000-1-1-1-100000000
χ826666-3-6-6-6-6-3-3-33333633-3-30000000000000000000000000000000000000022-2-2000000-220000-1-111000011-1-100000000
χ836666-3-6-6-6-6-3-3-33333633-3-300000000000000000000000000000000000000-2-2220000002-2000011-1-10000-1-11100000000
χ846-6-66-3006-6-33333−3333−330-3333−33000000000000000000000000000000000000002-22-2000000000000-11-1100003−33−300000000
χ856-6-66-3006-6-33333−3333−330-3333−3300000000000000000000000000000000000000-22-220000000000001-11-10000−33−3300000000
χ866-6-66-3006-6-333−3333−33330-33−3333000000000000000000000000000000000000002-22-2000000000000-11-110000−33−3300000000
χ876-6-66-3006-6-333−3333−33330-33−333300000000000000000000000000000000000000-22-220000000000001-11-100003−33−300000000
χ886-6-66-300-66-33333−3333−3303-3−3333000000000000000000000000000000000000002-2-22000000000000-111-100003−3−3300000000
χ896-6-66-300-66-33333−3333−3303-3−333300000000000000000000000000000000000000-222-20000000000001-1-110000−333−300000000
χ906-6-66-300-66-333−3333−333303-333−33000000000000000000000000000000000000002-2-22000000000000-111-10000−333−300000000
χ916-6-66-300-66-333−3333−333303-333−3300000000000000000000000000000000000000-222-20000000000001-1-1100003−3−3300000000
χ921212-12-12-600006-6663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ931212-12-12-600006-66−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-1212-12-612-120066-6-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-6-12120066-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000

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