Finite Group Databasebeta

← Group #13149564

Character table — Group #13149564

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222224444446666666612121212121212121212121212121212181818181818181818181818181818181818242424242424363636363636363636363636363636363636363636363636363636
order1222344444466612121212121233666666366612121212121212121212121244444412121212121212121212121212121212121222444444466661212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ51111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-11-11-11-1-1-1-1-1-1-111-1-111-1-111-1-1
χ61111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-111-1-11-1-11111-1-11111-1-1-1-111
χ71111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11-11-111-111-1-111-1-111-1-11111-1-1
χ81111111-1-1-1-111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-11-111111-1-111-1-1-1-111-1-111
χ911111-1-111-1-1111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11-11-11-1-1-1-1-1-1-1-111-1-111-1-111
χ1011111-1-111-1-1111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-1-1111111-1-1-1-11111-1-1
χ1111111-1-111-1-1111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-111-11-1-1111-1-11111-1-111-1-1-1-111
χ1211111-1-111-1-1111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-11111-1-1-1-11111-1-111-1-1
χ1311111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1-1-11111
χ1511111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11111-1-1-1-111-1-111111111-1-1-1-1
χ1611111-1-1-1-111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-111111111
χ17222222222222222222222-12-12-12-1-1-1-1-122-1-122-1-122-1-100220000000000-1-1-1-1-1-1-1-1-1-102000002200-1-10000000000-1-1-1-1
χ18222222222222222222222-12-12-12-1-1-1-1-122-1-122-1-122-1-100-2-200000000001111-1-1-1-1-1-10-200000-2-2001100000000001111
χ1922222222222222222222-12-12-12-12-1-1-1-1-1-122-1-122-1-1222200000000-1-1-1-10000-1-1-1-1-1-1200002200-1-100000000-1-1-1-10000
χ2022222222222222222222-12-12-12-12-1-1-1-1-1-122-1-122-1-122-2-20000000011110000-1-1-1-1-1-1-20000-2-200110000000011110000
χ212222222-2-2-2-222222-2-2-2-22-12-12-12-1-1-1-1-122-1-1-2-211-2-21100220000000000-1-1-1-111-1-1110-2000002-200110000000000-1-111
χ222222222-2-2-2-222222-2-2-2-22-12-12-12-1-1-1-1-122-1-1-2-211-2-21100-2-20000000000111111-1-1110200000-2200-1-1000000000011-1-1
χ232222222-2-2-2-222222-2-2-2-2-12-12-12-12-1-1-1-1-1-12211-2-211-2-22200000000-1-1-1-1000011-1-111-200002-2001100000000-1-1110000
χ242222222-2-2-2-222222-2-2-2-2-12-12-12-12-1-1-1-1-1-12211-2-211-2-2-2-2000000001111000011-1-11120000-2200-1-10000000011-1-10000
χ2522222-2-222-2-2222-2-222-2-22-12-12-12-1-1-1-1-1-2-21122-1-1-2-21100220000000000-1-1-1-11111-1-10-200000-220011000000000011-1-1
χ2622222-2-222-2-2222-2-222-2-22-12-12-12-1-1-1-1-1-2-21122-1-1-2-21100-2-2000000000011111111-1-102000002-200-1-10000000000-1-111
χ2722222-2-222-2-2222-2-222-2-2-12-12-12-12-1-1-1-111-2-2-1-12211-2-22200000000-1-1-1-100001111-1-1-20000-2200110000000011-1-10000
χ2822222-2-222-2-2222-2-222-2-2-12-12-12-12-1-1-1-111-2-2-1-12211-2-2-2-200000000111100001111-1-1200002-200-1-100000000-1-1110000
χ2922222-2-2-2-222222-2-2-2-2222-12-12-12-1-1-1-1-1-2-211-2-21122-1-100220000000000-1-1-1-1-1-111110200000-2-200-1-100000000001111
χ3022222-2-2-2-222222-2-2-2-2222-12-12-12-1-1-1-1-1-2-211-2-21122-1-100-2-200000000001111-1-111110-2000002200110000000000-1-1-1-1
χ3122222-2-2-2-222222-2-2-2-222-12-12-12-12-1-1-1-111-2-211-2-2-1-1222200000000-1-1-1-10000-1-1111120000-2-200-1-10000000011110000
χ3222222-2-2-2-222222-2-2-2-222-12-12-12-12-1-1-1-111-2-211-2-2-1-122-2-20000000011110000-1-11111-2000022001100000000-1-1-1-10000
χ332-22-222i−2i2i−2i2-2-2-222i−2i2i−2i2-222-2-222-2-22-22-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000002-22i−2i2i−2i000000000000000000000000000
χ342-22-222i−2i2i−2i2-2-2-222i−2i2i−2i2-22-1-212-1-21-11-112i−2i−ii2i−2i−ii2-2-1100000000000000−i3−i3i3i3-11−ii−ii00000000000−i3i300000000003−33−3
χ352-22-222i−2i2i−2i2-2-2-222i−2i2i−2i2-22-1-212-1-21-11-112i−2i−ii2i−2i−ii2-2-1100000000000000i3i3−i3−i3-11−ii−ii00000000000i3−i30000000000−33−33
χ362-22-222i−2i2i−2i2-2-2-222i−2i2i−2i2-2-121-2-121-2-11-11−ii2i−2i−ii2i−2i-112-20000000000−i3−i3i3i30000-11−ii−ii000000000−i3i3000000003−33−30000
χ372-22-222i−2i2i−2i2-2-2-222i−2i2i−2i2-2-121-2-121-2-11-11−ii2i−2i−ii2i−2i-112-20000000000i3i3−i3−i30000-11−ii−ii000000000i3−i300000000−33−330000
χ382-22-222i−2i−2i2i-22-2-222i−2i−2i2i-2222-2-222-2-22-22-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000-222i−2i−2i2i000000000000000000000000000
χ392-22-222i−2i−2i2i-22-2-222i−2i−2i2i-222-1-212-1-21-11-112i−2i−ii−2i2ii−i-221-100000000000000−i3−i3i3i31-1−iii−i00000000000i3−i300000000003−3−33
χ402-22-222i−2i−2i2i-22-2-222i−2i−2i2i-222-1-212-1-21-11-112i−2i−ii−2i2ii−i-221-100000000000000i3i3−i3−i31-1−iii−i00000000000−i3i30000000000−333−3
χ412-22-222i−2i−2i2i-22-2-222i−2i−2i2i-22-121-2-121-2-11-11−ii2i−2ii−i−2i2i1-1-220000000000−i3−i3i3i300001-1−iii−i000000000i3−i3000000003−3−330000
χ422-22-222i−2i−2i2i-22-2-222i−2i−2i2i-22-121-2-121-2-11-11−ii2i−2ii−i−2i2i1-1-220000000000i3i3−i3−i300001-1−iii−i000000000−i3i300000000−333−30000
χ432-22-22−2i2i2i−2i-22-2-22−2i2i2i−2i-2222-2-222-2-22-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000-22−2i2i2i−2i000000000000000000000000000
χ442-22-22−2i2i2i−2i-22-2-22−2i2i2i−2i-222-1-212-1-21-11-11−2i2ii−i2i−2i−ii-221-100000000000000−i3−i3i3i31-1i−i−ii00000000000i3−i30000000000−333−3
χ452-22-22−2i2i2i−2i-22-2-22−2i2i2i−2i-222-1-212-1-21-11-11−2i2ii−i2i−2i−ii-221-100000000000000i3i3−i3−i31-1i−i−ii00000000000−i3i300000000003−3−33
χ462-22-22−2i2i2i−2i-22-2-22−2i2i2i−2i-22-121-2-121-2-11-11i−i−2i2i−ii2i−2i1-1-220000000000−i3−i3i3i300001-1i−i−ii000000000i3−i300000000−333−30000
χ472-22-22−2i2i2i−2i-22-2-22−2i2i2i−2i-22-121-2-121-2-11-11i−i−2i2i−ii2i−2i1-1-220000000000i3i3−i3−i300001-1i−i−ii000000000−i3i3000000003−3−330000
χ482-22-22−2i2i−2i2i2-2-2-22−2i2i−2i2i2-222-2-222-2-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000002-2−2i2i−2i2i000000000000000000000000000
χ492-22-22−2i2i−2i2i2-2-2-22−2i2i−2i2i2-22-1-212-1-21-11-11−2i2ii−i−2i2ii−i2-2-1100000000000000−i3−i3i3i3-11i−ii−i00000000000−i3i30000000000−33−33
χ502-22-22−2i2i−2i2i2-2-2-22−2i2i−2i2i2-22-1-212-1-21-11-11−2i2ii−i−2i2ii−i2-2-1100000000000000i3i3−i3−i3-11i−ii−i00000000000i3−i300000000003−33−3
χ512-22-22−2i2i−2i2i2-2-2-22−2i2i−2i2i2-2-121-2-121-2-11-11i−i−2i2ii−i−2i2i-112-20000000000−i3−i3i3i30000-11i−ii−i000000000−i3i300000000−33−330000
χ522-22-22−2i2i−2i2i2-2-2-22−2i2i−2i2i2-2-121-2-121-2-11-11i−i−2i2ii−i−2i2i-112-20000000000i3i3−i3−i30000-11i−ii−i000000000i3−i3000000003−33−30000
χ532-2-2220000002-2-200000022-2-2-2-22222-2-20000000000002i−2i2i−2i2-222-2-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000
χ542-2-2220000002-2-200000022-2-2-2-22222-2-20000000000002i−2i−2i2i-22-2-2222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000
χ552-2-2220000002-2-200000022-2-2-2-22222-2-2000000000000−2i2i2i−2i-22-2-222−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000
χ562-2-2220000002-2-200000022-2-2-2-22222-2-2000000000000−2i2i−2i2i2-222-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000
χ5744444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000111111000000000000000000000000000
χ584444444-4-4-4-444444-4-4-4-4-2-2-2-2-2-2-2-21111-2-2-2-222222222000000000000000000-1-111-1-1000000000000000000000000000
χ5944444-4-444-4-4444-4-444-4-4-2-2-2-2-2-2-2-211112222-2-2-2-22222000000000000000000-1-1-1-111000000000000000000000000000
χ6044444-4-4-4-444444-4-4-4-444-2-2-2-2-2-2-2-2111122222222-2-2-2-200000000000000000011-1-1-1-1000000000000000000000000000
χ6144-4-44000000-44-40000004444-4-4-4-44-4-44000000000000000000000000000000000000000000000000000000000000000
χ6244-4-44000000-44-40000004-24-2-42-42-222-20000000000000000000000000023−23−2323000000000000000000000000000000000
χ6344-4-44000000-44-40000004-24-2-42-42-222-200000000000000000000000000−232323−23000000000000000000000000000000000
χ6444-4-44000000-44-4000000-24-242-42-4-222-2000000000000000000000023−23−23230000000000000000000000000000000000000
χ6544-4-44000000-44-4000000-24-242-42-4-222-20000000000000000000000−232323−230000000000000000000000000000000000000
χ664-44-444i−4i4i−4i4-4-4-444i−4i4i−4i4-4-2-222-2-2221-11-1−2i2i−2i2i−2i2i−2i2i-22-220000000000000000001-1i−ii−i000000000000000000000000000
χ674-44-444i−4i−4i4i-44-4-444i−4i−4i4i-44-2-222-2-2221-11-1−2i2i−2i2i2i−2i2i−2i2-22-2000000000000000000-11i−i−ii000000000000000000000000000
χ684-44-44−4i4i4i−4i-44-4-44−4i4i4i−4i-44-2-222-2-2221-11-12i−2i2i−2i−2i2i−2i2i2-22-2000000000000000000-11−iii−i000000000000000000000000000
χ694-44-44−4i4i−4i4i4-4-4-44−4i4i−4i4i4-4-2-222-2-2221-11-12i−2i2i−2i2i−2i2i−2i-22-220000000000000000001-1−ii−ii000000000000000000000000000
χ704-4-4440000004-4-40000004-2-42-424-2-2-222000000000000004i−4i0000000000−2i2i−2i2i000000000000000000000000000000000
χ714-4-4440000004-4-40000004-2-42-424-2-2-22200000000000000−4i4i00000000002i−2i2i−2i000000000000000000000000000000000
χ724-4-4440000004-4-4000000-242-42-4-24-2-2220000000000004i−4i00000000−2i2i−2i2i0000000000000000000000000000000000000
χ734-4-4440000004-4-4000000-242-42-4-24-2-222000000000000−4i4i000000002i−2i2i−2i0000000000000000000000000000000000000
χ746666-3666666-3-3-3-3-3-3-3-3-3000000000000000000000000000022-1-1-1-1000000000000000022200000000-1-1-1-1-1-100000000
χ756666-3666666-3-3-3-3-3-3-3-3-30000000000000000000000000000-2-211110000000000000000-2-2-20000000011111100000000
χ766666-366-6-6-6-6-3-3-3-3-33333000000000000000000000000000022-1-1-1-10000000000000000-22-20000000011-1-11100000000
χ776666-366-6-6-6-6-3-3-3-3-333330000000000000000000000000000-2-2111100000000000000002-2200000000-1-111-1-100000000
χ786666-3-6-666-6-6-3-3-333-3-333000000000000000000000000000022-1-1-1-10000000000000000-2-22000000001111-1-100000000
χ796666-3-6-666-6-6-3-3-333-3-3330000000000000000000000000000-2-21111000000000000000022-200000000-1-1-1-11100000000
χ806666-3-6-6-6-666-3-3-33333-3-3000000000000000000000000000022-1-1-1-100000000000000002-2-200000000-1-1111100000000
χ816666-3-6-6-6-666-3-3-33333-3-30000000000000000000000000000-2-211110000000000000000-2220000000011-1-1-1-100000000
χ826-66-6-36i−6i6i−6i6-633-3−3i3i−3i3i-330000000000000000000000000000003−33−30000000000000000000000000003−3−i3i3−i3i300000000
χ836-66-6-36i−6i6i−6i6-633-3−3i3i−3i3i-33000000000000000000000000000000−33−33000000000000000000000000000−33i3−i3i3−i300000000
χ846-66-6-36i−6i−6i6i-6633-3−3i3i3i−3i3-30000000000000000000000000000003−33−3000000000000000000000000000−33−i3i3i3−i300000000
χ856-66-6-36i−6i−6i6i-6633-3−3i3i3i−3i3-3000000000000000000000000000000−33−330000000000000000000000000003−3i3−i3−i3i300000000
χ866-66-6-3−6i6i6i−6i-6633-33i−3i−3i3i3-30000000000000000000000000000003−33−3000000000000000000000000000−33i3−i3−i3i300000000
χ876-66-6-3−6i6i6i−6i-6633-33i−3i−3i3i3-3000000000000000000000000000000−33−330000000000000000000000000003−3−i3i3i3−i300000000
χ886-66-6-3−6i6i−6i6i6-633-33i−3i3i−3i-330000000000000000000000000000003−33−30000000000000000000000000003−3i3−i3i3−i300000000
χ896-66-6-3−6i6i−6i6i6-633-33i−3i3i−3i-33000000000000000000000000000000−33−33000000000000000000000000000−33−i3i3−i3i300000000
χ9088-8-88000000-88-8000000-4-4-4-444442-2-22000000000000000000000000000000000000000000000000000000000000000
χ918-8-8880000008-8-8000000-4-44444-4-422-2-2000000000000000000000000000000000000000000000000000000000000000
χ921212-12-12-60000006-6600000000000000000000000000000000000023−23−232300000000000000000000000000000000000000000
χ931212-12-12-60000006-66000000000000000000000000000000000000−232323−2300000000000000000000000000000000000000000
χ9412-12-1212-6000000-66600000000000000000000000000000000004-4-2-22200000000000000000000000000000000000000000
χ9512-12-1212-6000000-6660000000000000000000000000000000000-4422-2-200000000000000000000000000000000000000000

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