Finite Group Databasebeta

← Group #13152058

Character table — Group #13152058

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order12222222223666666666663366666666666666366666666666666666666666444444444444121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-11-11-1-11-11-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-11-111-11-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111-1-111-1-111-1-1-1-11111-1-111111111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-11-11-11-111-11-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1-11-111-1-111-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-111-11-1-11-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-111-1-111-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222222-12-12222-1-1-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000000000-1-1-1-1-1-1-1-1
χ1822222222222222222222222-12-12222-1-1-1-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000000011111111
χ192222222222222222222222-12-12-1-1-1-12222-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000-1-1-1-1-1-1-1-100000000
χ202222222222222222222222-12-12-1-1-1-12222-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000001111111100000000
χ21222222-2-2-2-222222222-2-2-2-22-12-1-2-2-2-2111122-1-1-122-1-111-2-2-1-1-1-1-1-1-1111111110000000022-2-20000000000000000-1-1-1-11111
χ22222222-2-2-2-222222222-2-2-2-22-12-1-2-2-2-2111122-1-1-122-1-111-2-2-1-1-1-1-1-1-11111111100000000-2-22200000000000000001111-1-1-1-1
χ23222222-2-2-2-222222222-2-2-2-2-12-121111-2-2-2-2-1-122-1-1-122-2-211-1-1-1-1-1-1-111111111000022-2-2000000000000-1-1-1-1111100000000
χ24222222-2-2-2-222222222-2-2-2-2-12-121111-2-2-2-2-1-122-1-1-122-2-211-1-1-1-1-1-1-1111111110000-2-2220000000000001111-1-1-1-100000000
χ252222-2-222-2-222-2-2-2-22222-2-22-12-12222111122-1-1-1-2-211-1-1-2-2-1-1-11111-1-1-1-11111000000002-22-20000000000000000-1-111-1-111
χ262222-2-222-2-222-2-2-2-22222-2-22-12-12222111122-1-1-1-2-211-1-1-2-2-1-1-11111-1-1-1-1111100000000-22-22000000000000000011-1-111-1-1
χ272222-2-222-2-222-2-2-2-22222-2-2-12-12-1-1-1-1-2-2-2-2-1-122-111-2-22211-1-1-11111-1-1-1-1111100002-22-2000000000000-1-111-1-11100000000
χ282222-2-222-2-222-2-2-2-22222-2-2-12-12-1-1-1-1-2-2-2-2-1-122-111-2-22211-1-1-11111-1-1-1-111110000-22-2200000000000011-1-111-1-100000000
χ292222-2-2-2-22222-2-2-2-222-2-2222-12-1-2-2-2-2-1-1-1-122-1-1-1-2-2111122-1-1-111111111-1-1-1-1000000002-2-220000000000000000-1-11111-1-1
χ302222-2-2-2-22222-2-2-2-222-2-2222-12-1-2-2-2-2-1-1-1-122-1-1-1-2-2111122-1-1-111111111-1-1-1-100000000-222-2000000000000000011-1-1-1-111
χ312222-2-2-2-22222-2-2-2-222-2-222-12-1211112222-1-122-111-2-2-2-2-1-1-1-1-111111111-1-1-1-100002-2-22000000000000-1-11111-1-100000000
χ322222-2-2-2-22222-2-2-2-222-2-222-12-1211112222-1-122-111-2-2-2-2-1-1-1-1-111111111-1-1-1-10000-222-200000000000011-1-1-1-11100000000
χ3322-2-22-22-22-22222-2-2-2-22-22-2222222-2-222-2-2-2-2-2-222-22-22-22-22-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ3422-2-22-22-22-22222-2-2-2-22-22-22-12-122-2-2-1-111-2-211-12-2-11-112-2-111-1-111-1-111-1-11100000000000000000000000000003−33−33−33−3
χ3522-2-22-22-22-22222-2-2-2-22-22-22-12-122-2-2-1-111-2-211-12-2-11-112-2-111-1-111-1-111-1-1110000000000000000000000000000−33−33−33−33
χ3622-2-22-22-22-22222-2-2-2-22-22-2-12-12-1-11122-2-211-2-2-1-112-22-2-11-111-1-111-1-111-1-111000000000000000000003−33−33−33−300000000
χ3722-2-22-22-22-22222-2-2-2-22-22-2-12-12-1-11122-2-211-2-2-1-112-22-2-11-111-1-111-1-111-1-11100000000000000000000−33−33−33−3300000000
χ3822-2-22-2-22-222222-2-2-2-2-22-222222-2-222-2-222-2-2-2-222-22-2-22-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000
χ3922-2-22-2-22-222222-2-2-2-2-22-222-12-1-2-22211-1-1-2-211-12-2-111-1-22-111-1-11111-1-111-1-100000000000000000000000000003−33−3−33−33
χ4022-2-22-2-22-222222-2-2-2-2-22-222-12-1-2-22211-1-1-2-211-12-2-111-1-22-111-1-11111-1-111-1-10000000000000000000000000000−33−333−33−3
χ4122-2-22-2-22-222222-2-2-2-2-22-22-12-1211-1-1-2-22211-2-2-1-112-2-221-1-111-1-11111-1-111-1-1000000000000000000003−33−3−33−3300000000
χ4222-2-22-2-22-222222-2-2-2-2-22-22-12-1211-1-1-2-22211-2-2-1-112-2-221-1-111-1-11111-1-111-1-100000000000000000000−33−333−33−300000000
χ4322-2-2-222-2-2222-2-222-2-22-2-22222222-2-2-2-222-2-2-2-22-22-222-2-222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ4422-2-2-222-2-2222-2-222-2-22-2-222-12-122-2-211-1-1-2-211-1-221-1-11-22-11111-1-1-1-11111-1-100000000000000000000000000003−3−333−3−33
χ4522-2-2-222-2-2222-2-222-2-22-2-222-12-122-2-211-1-1-2-211-1-221-1-11-22-11111-1-1-1-11111-1-10000000000000000000000000000−333−3−333−3
χ4622-2-2-222-2-2222-2-222-2-22-2-22-12-12-1-111-2-22211-2-2-11-1-222-21-1-11111-1-1-1-11111-1-1000000000000000000003−3−333−3−3300000000
χ4722-2-2-222-2-2222-2-222-2-22-2-22-12-12-1-111-2-22211-2-2-11-1-222-21-1-11111-1-1-1-11111-1-100000000000000000000−333−3−333−300000000
χ4822-2-2-22-222-222-2-222-2-2-222-22222-2-22222-2-2-2-2-2-22-22-22-222-22-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ4922-2-2-22-222-222-2-222-2-2-222-22-12-1-2-222-1-111-2-211-1-221-11-12-2-11111-1-111-1-1-1-11100000000000000000000000000003−3−33−333−3
χ5022-2-2-22-222-222-2-222-2-2-222-22-12-1-2-222-1-111-2-211-1-221-11-12-2-11111-1-111-1-1-1-1110000000000000000000000000000−333−33−3−33
χ5122-2-2-22-222-222-2-222-2-2-222-2-12-1211-1-122-2-211-2-2-11-1-22-22-11-11111-1-111-1-1-1-111000000000000000000003−3−33−333−300000000
χ5222-2-2-22-222-222-2-222-2-2-222-2-12-1211-1-122-2-211-2-2-11-1-22-22-11-11111-1-111-1-1-1-11100000000000000000000−333−33−3−3300000000
χ534444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2111111111111111000000000000000000000000000000000000
χ54444444-4-4-4-444444444-4-4-4-4-2-2-2-222222222-2-2-2-21-2-2-2-222221111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ554444-4-444-4-444-4-4-4-44444-4-4-2-2-2-2-2-2-2-22222-2-2-2-212222-2-222111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000
χ564444-4-4-4-44444-4-4-4-444-4-444-2-2-2-22222-2-2-2-2-2-2-2-21222222-2-2111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ5744-4-44-44-44-44444-4-4-4-44-44-4-2-2-2-2-2-222-2-22222221-22-22-22-221-1-111-1-111-1-111-1-1000000000000000000000000000000000000
χ5844-4-44-4-44-444444-4-4-4-4-44-44-2-2-2-222-2-222-2-222221-22-222-22-21-1-111-1-1-1-111-1-111000000000000000000000000000000000000
χ5944-4-4-444-4-4444-4-444-4-44-4-44-2-2-2-2-2-22222-2-2222212-22-2-222-21-1-1-1-11111-1-1-1-111000000000000000000000000000000000000
χ6044-4-4-44-444-444-4-444-4-4-444-4-2-2-2-222-2-2-2-222222212-22-22-2-221-1-1-1-111-1-11111-1-1000000000000000000000000000000000000
χ614-44-40000004-400004-4000044-4-4000000004-44-4400000000-44-4000000000000000000000000000000000000000000000000
χ624-44-40000004-400004-400004-2-420000−2i32i3−2i32i34-4-22-2000000002-2200000000−2i32i3−2i32i3000000000000000000000000000000000000
χ634-44-40000004-400004-400004-2-4200002i3−2i32i3−2i34-4-22-2000000002-22000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ644-44-40000004-400004-40000-242-4−2i32i3−2i32i30000-224-4-2000000002-220000−2i32i3−2i32i30000000000000000000000000000000000000000
χ654-44-40000004-400004-40000-242-42i3−2i32i3−2i30000-224-4-2000000002-2200002i3−2i32i3−2i30000000000000000000000000000000000000000
χ664-44-40000004-400004-40000-2-222−2i32i3−2i32i3−2i32i3−2i32i3-22-22100000000-11-13-33-3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ674-44-40000004-400004-40000-2-222−2i32i3−2i32i32i3−2i32i3−2i3-22-22100000000-11-1-33-33i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ684-44-40000004-400004-40000-2-2222i3−2i32i3−2i3−2i32i3−2i32i3-22-22100000000-11-1-33-33−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ694-44-40000004-400004-40000-2-2222i3−2i32i3−2i32i3−2i32i3−2i3-22-22100000000-11-13-33-3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ704-4-440000004-40000-44000044-4-400000000-44-44400000000-4-44000000000000000000000000000000000000000000000000
χ714-4-440000004-40000-4400004-2-420000−2i32i32i3−2i3-442-2-20000000022-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ724-4-440000004-40000-4400004-2-4200002i3−2i3−2i32i3-442-2-20000000022-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ734-4-440000004-40000-440000-242-4−2i32i32i3−2i300002-2-44-20000000022-20000−2i32i32i3−2i30000000000000000000000000000000000000000
χ744-4-440000004-40000-440000-242-42i3−2i3−2i32i300002-2-44-20000000022-200002i3−2i3−2i32i30000000000000000000000000000000000000000
χ754-4-440000004-40000-440000-2-222−2i32i32i3−2i3−2i32i32i3−2i32-22-2100000000-1-113-3-33i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ764-4-440000004-40000-440000-2-222−2i32i32i3−2i32i3−2i3−2i32i32-22-2100000000-1-11-333-3i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000
χ774-4-440000004-40000-440000-2-2222i3−2i3−2i32i3−2i32i32i3−2i32-22-2100000000-1-11-333-3−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ784-4-440000004-40000-440000-2-2222i3−2i3−2i32i32i3−2i3−2i32i32-22-2100000000-1-113-3-33−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ796666666666-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000222200000000-1-1-1-1-1-1-1-10000000000000000
χ806666666666-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-2-2-200000000111111110000000000000000
χ81666666-6-6-6-6-3-3-3-3-3-3-3-33333000000000000000000000000000000000000000022-2-200000000-1-1-1-111110000000000000000
χ82666666-6-6-6-6-3-3-3-3-3-3-3-333330000000000000000000000000000000000000000-2-222000000001111-1-1-1-10000000000000000
χ836666-6-666-6-6-3-33333-3-3-3-33300000000000000000000000000000000000000002-22-200000000-1-111-1-1110000000000000000
χ846666-6-666-6-6-3-33333-3-3-3-3330000000000000000000000000000000000000000-22-220000000011-1-111-1-10000000000000000
χ856666-6-6-6-666-3-33333-3-333-3-300000000000000000000000000000000000000002-2-2200000000-1-11111-1-10000000000000000
χ866666-6-6-6-666-3-33333-3-333-3-30000000000000000000000000000000000000000-222-20000000011-1-1-1-1110000000000000000
χ8766-6-66-66-66-6-3-3-3-33333-33-3300000000000000000000000000000000000000000000000000003−33−33−33−30000000000000000
χ8866-6-66-66-66-6-3-3-3-33333-33-330000000000000000000000000000000000000000000000000000−33−33−33−330000000000000000
χ8966-6-66-6-66-66-3-3-3-333333-33-300000000000000000000000000000000000000000000000000003−33−3−33−330000000000000000
χ9066-6-66-6-66-66-3-3-3-333333-33-30000000000000000000000000000000000000000000000000000−33−333−33−30000000000000000
χ9166-6-6-666-6-66-3-333-3-333-333-300000000000000000000000000000000000000000000000000003−3−333−3−330000000000000000
χ9266-6-6-666-6-66-3-333-3-333-333-30000000000000000000000000000000000000000000000000000−333−3−333−30000000000000000
χ9366-6-6-66-666-6-3-333-3-3333-3-3300000000000000000000000000000000000000000000000000003−3−33−333−30000000000000000
χ9466-6-6-66-666-6-3-333-3-3333-3-330000000000000000000000000000000000000000000000000000−333−33−3−330000000000000000
χ9512-1212-12000000-66−6i36i3−6i36i3-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212-12000000-666i3−6i36i3−6i3-6600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12-1212000000-66−6i36i36i3−6i36-600000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-1212000000-666i3−6i3−6i36i36-600000000000000000000000000000000000000000000000000000000000000000000000000000000

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