Finite Group Databasebeta

← Group #13149545

Character table — Group #13149545

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111122222222224444446666666612121212121212121212121212121212181818181818181818181818181818181818242424242424363636363636363636363636363636363636363636363636363636
order122234444446661212121212123366666636661212121212121212121212122222446666666612121212121212121212444444444121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111-1-1-1-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111-1-1-1-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1111111-1-1-1-1-1-11111
χ71111111-1-1-1-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-1-11111-1-1111111-1-1-1-1
χ81111111-1-1-1-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111
χ911111-1-111-1-111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-11-11-11-1-1-1-111-1-1-1-1-1-111-1-111-1-1
χ1011111-1-111-1-111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-11111-1-111-1-11111-1-1-1-111
χ1111111-1-111-1-111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-11-111-1111-1-11111-1-1-1-11111-1-1
χ1211111-1-111-1-111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11-11-1-1-111-1-11111-1-111-1-111
χ1311111-1-1-1-111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-11-11-11-1-1-1-1-111-1-1-1-1-1-111-1-111
χ1411111-1-1-1-111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-111111-1-1-1-111-1-11111-1-1
χ1511111-1-1-1-111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-11-11-1-1111111-1-111-1-111-1-1-1-111
χ1611111-1-1-1-111111-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1-1-1-1-1-111111111-1-111-1-1
χ17222222222222222222222-12-12-12-1-1-1-1-122-1-122-1-122-1-10022000000-1-1-1-10000-1-1-1-1-1-102000022000000000-1-10000-1-1-1-1
χ18222222222222222222222-12-12-12-1-1-1-1-122-1-122-1-122-1-100-2-200000011110000-1-1-1-1-1-10-20000-2-20000000001100001111
χ1922222222222222222222-12-12-12-12-1-1-1-1-1-122-1-122-1-122220000-1-1-1-100000000-1-1-1-1-1-1200022000000000-1-100-1-1-1-10000
χ2022222222222222222222-12-12-12-12-1-1-1-1-1-122-1-122-1-122-2-20000111100000000-1-1-1-1-1-1-2000-2-2000000000110011110000
χ212222222-2-2-2-2222-2-2-2-2222-12-12-12-1-1-1-1-122-1-1-2-211-2-2110022000000-1-1-1-10000-1-11111020000-2-2000000000-1-100001111
χ222222222-2-2-2-2222-2-2-2-2222-12-12-12-1-1-1-1-122-1-1-2-211-2-21100-2-200000011110000-1-111110-2000022000000000110000-1-1-1-1
χ232222222-2-2-2-2222-2-2-2-222-12-12-12-12-1-1-1-1-1-12211-2-211-2-2220000-1-1-1-100000000-1-111112000-2-2000000000-1-10011110000
χ242222222-2-2-2-2222-2-2-2-222-12-12-12-12-1-1-1-1-1-12211-2-211-2-2-2-20000111100000000-1-11111-2000220000000001100-1-1-1-10000
χ2522222-2-222-2-222222-2-2-2-22-12-12-12-1-1-1-1-1-2-21122-1-1-2-2110022000000-1-1-1-1000011-1-1110-200002-2000000000110000-1-111
χ2622222-2-222-2-222222-2-2-2-22-12-12-12-1-1-1-1-1-2-21122-1-1-2-21100-2-20000001111000011-1-111020000-22000000000-1-1000011-1-1
χ2722222-2-222-2-222222-2-2-2-2-12-12-12-12-1-1-1-111-2-2-1-12211-2-2220000-1-1-1-10000000011-1-111-20002-20000000001100-1-1110000
χ2822222-2-222-2-222222-2-2-2-2-12-12-12-12-1-1-1-111-2-2-1-12211-2-2-2-2000011110000000011-1-1112000-22000000000-1-10011-1-10000
χ2922222-2-2-2-222222-2-222-2-22-12-12-12-1-1-1-1-1-2-211-2-21122-1-10022000000-1-1-1-100001111-1-10-20000-2200000000011000011-1-1
χ3022222-2-2-2-222222-2-222-2-22-12-12-12-1-1-1-1-1-2-211-2-21122-1-100-2-2000000111100001111-1-10200002-2000000000-1-10000-1-111
χ3122222-2-2-2-222222-2-222-2-2-12-12-12-12-1-1-1-111-2-211-2-2-1-122220000-1-1-1-1000000001111-1-1-2000-22000000000110011-1-10000
χ3222222-2-2-2-222222-2-222-2-2-12-12-12-12-1-1-1-111-2-211-2-2-1-122-2-200001111000000001111-1-120002-2000000000-1-100-1-1110000
χ3322-2-220000002-2-20000002222-2-2-2-222-2-20000000000002-22-22-222-2-222-2-222-2-2000000000000000000000000000000000
χ3422-2-220000002-2-20000002222-2-2-2-222-2-20000000000002-2-22-2222-2-2-2-222-2-222000000000000000000000000000000000
χ3522-2-220000002-2-20000002222-2-2-2-222-2-2000000000000-222-2-22-2-22222-2-2-2-222000000000000000000000000000000000
χ3622-2-220000002-2-20000002222-2-2-2-222-2-2000000000000-22-222-2-2-222-2-22222-2-2000000000000000000000000000000000
χ372-22-222-22i−2i2i−2i-2-222i−2i2i−2i2-222-2-222-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i2i−2i000000000000000000000000000
χ382-22-222-22i−2i2i−2i-2-222i−2i2i−2i2-22-1-212-1-21-11-112-2-112i−2i−ii2i−2i−ii0000000000−i3i3−i3i30000-11−ii−ii00000000000000000−i3i300003−33−3
χ392-22-222-22i−2i2i−2i-2-222i−2i2i−2i2-22-1-212-1-21-11-112-2-112i−2i−ii2i−2i−ii0000000000i3−i3i3−i30000-11−ii−ii00000000000000000i3−i30000−33−33
χ402-22-222-22i−2i2i−2i-2-222i−2i2i−2i2-2-121-2-121-2-11-11-112-2−ii2i−2i−ii2i−2i000000−i3i3−i3i300000000-11−ii−ii000000000000000−i3i3003−33−30000
χ412-22-222-22i−2i2i−2i-2-222i−2i2i−2i2-2-121-2-121-2-11-11-112-2−ii2i−2i−ii2i−2i000000i3−i3i3−i300000000-11−ii−ii000000000000000i3−i300−33−330000
χ422-22-222-2−2i2i−2i2i-2-22−2i2i−2i2i2-222-2-222-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000002-2−2i2i−2i2i000000000000000000000000000
χ432-22-222-2−2i2i−2i2i-2-22−2i2i−2i2i2-22-1-212-1-21-11-112-2-11−2i2ii−i−2i2ii−i0000000000−i3i3−i3i30000-11i−ii−i00000000000000000−i3i30000−33−33
χ442-22-222-2−2i2i−2i2i-2-22−2i2i−2i2i2-22-1-212-1-21-11-112-2-11−2i2ii−i−2i2ii−i0000000000i3−i3i3−i30000-11i−ii−i00000000000000000i3−i300003−33−3
χ452-22-222-2−2i2i−2i2i-2-22−2i2i−2i2i2-2-121-2-121-2-11-11-112-2i−i−2i2ii−i−2i2i000000−i3i3−i3i300000000-11i−ii−i000000000000000−i3i300−33−330000
χ462-22-222-2−2i2i−2i2i-2-22−2i2i−2i2i2-2-121-2-121-2-11-11-112-2i−i−2i2ii−i−2i2i000000i3−i3i3−i300000000-11i−ii−i000000000000000i3−i3003−33−30000
χ472-22-22-222i−2i−2i2i-2-222i−2i−2i2i-2222-2-222-2-22-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000-222i−2i−2i2i000000000000000000000000000
χ482-22-22-222i−2i−2i2i-2-222i−2i−2i2i-222-1-212-1-21-11-11-221-12i−2i−ii−2i2ii−i0000000000−i3i3−i3i300001-1−iii−i00000000000000000i3−i300003−3−33
χ492-22-22-222i−2i−2i2i-2-222i−2i−2i2i-222-1-212-1-21-11-11-221-12i−2i−ii−2i2ii−i0000000000i3−i3i3−i300001-1−iii−i00000000000000000−i3i30000−333−3
χ502-22-22-222i−2i−2i2i-2-222i−2i−2i2i-22-121-2-121-2-11-111-1-22−ii2i−2ii−i−2i2i000000−i3i3−i3i3000000001-1−iii−i000000000000000i3−i3003−3−330000
χ512-22-22-222i−2i−2i2i-2-222i−2i−2i2i-22-121-2-121-2-11-111-1-22−ii2i−2ii−i−2i2i000000i3−i3i3−i3000000001-1−iii−i000000000000000−i3i300−333−30000
χ522-22-22-22−2i2i2i−2i-2-22−2i2i2i−2i-2222-2-222-2-22-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000-22−2i2i2i−2i000000000000000000000000000
χ532-22-22-22−2i2i2i−2i-2-22−2i2i2i−2i-222-1-212-1-21-11-11-221-1−2i2ii−i2i−2i−ii0000000000−i3i3−i3i300001-1i−i−ii00000000000000000i3−i30000−333−3
χ542-22-22-22−2i2i2i−2i-2-22−2i2i2i−2i-222-1-212-1-21-11-11-221-1−2i2ii−i2i−2i−ii0000000000i3−i3i3−i300001-1i−i−ii00000000000000000−i3i300003−3−33
χ552-22-22-22−2i2i2i−2i-2-22−2i2i2i−2i-22-121-2-121-2-11-111-1-22i−i−2i2i−ii2i−2i000000−i3i3−i3i3000000001-1i−i−ii000000000000000i3−i300−333−30000
χ562-22-22-22−2i2i2i−2i-2-22−2i2i2i−2i-22-121-2-121-2-11-111-1-22i−i−2i2i−ii2i−2i000000i3−i3i3−i3000000001-1i−i−ii000000000000000−i3i3003−3−330000
χ5744444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000111111000000000000000000000000000
χ584444444-4-4-4-4444-4-4-4-444-2-2-2-2-2-2-2-21111-2-2-2-22222222200000000000000000011-1-1-1-1000000000000000000000000000
χ5944444-4-444-4-444444-4-4-4-4-2-2-2-2-2-2-2-211112222-2-2-2-22222000000000000000000-1-111-1-1000000000000000000000000000
χ6044444-4-4-4-444444-4-444-4-4-2-2-2-2-2-2-2-2111122222222-2-2-2-2000000000000000000-1-1-1-111000000000000000000000000000
χ6144-4-440000004-4-40000004-24-2-42-42-2-222000000000000004-4000000-2-2220000000000000000000000000000000000000
χ6244-4-440000004-4-40000004-24-2-42-42-2-22200000000000000-4400000022-2-20000000000000000000000000000000000000
χ6344-4-440000004-4-4000000-24-242-42-4-2-2220000000000004-40000-2-22200000000000000000000000000000000000000000
χ6444-4-440000004-4-4000000-24-242-42-4-2-222000000000000-44000022-2-200000000000000000000000000000000000000000
χ654-44-444-44i−4i4i−4i-4-444i−4i4i−4i4-4-2-222-2-2221-11-1-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000001-1i−ii−i000000000000000000000000000
χ664-44-444-4−4i4i−4i4i-4-44−4i4i−4i4i4-4-2-222-2-2221-11-1-22-222i−2i2i−2i2i−2i2i−2i0000000000000000001-1−ii−ii000000000000000000000000000
χ674-44-44-444i−4i−4i4i-4-444i−4i−4i4i-44-2-222-2-2221-11-12-22-2−2i2i−2i2i2i−2i2i−2i000000000000000000-11i−i−ii000000000000000000000000000
χ684-44-44-44−4i4i4i−4i-4-44−4i4i4i−4i-44-2-222-2-2221-11-12-22-22i−2i2i−2i−2i2i−2i2i000000000000000000-11−iii−i000000000000000000000000000
χ694-4-444000000-44-400000044-4-4-4-4444-4-44000000000000000000000000000000000000000000000000000000000000000
χ704-4-444000000-44-40000004-2-42-424-2-222-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000000000000
χ714-4-444000000-44-40000004-2-42-424-2-222-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000
χ724-4-444000000-44-4000000-242-42-4-24-222-2000000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ734-4-444000000-44-4000000-242-42-4-24-222-20000000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ746666-3666666-3-3-3-3-3-3-3-3-300000000000000000000000000002200000000-1-1-1-1000000002200002-1-1-1-1-1-1000000000000
χ756666-3666666-3-3-3-3-3-3-3-3-30000000000000000000000000000-2-200000000111100000000-2-20000-2111111000000000000
χ766666-366-6-6-6-6-3-3-33333-3-300000000000000000000000000002200000000-1-1-1-100000000-2-200002-1-11111000000000000
χ776666-366-6-6-6-6-3-3-33333-3-30000000000000000000000000000-2-200000000111100000000220000-211-1-1-1-1000000000000
χ786666-3-6-666-6-6-3-3-3-3-3333300000000000000000000000000002200000000-1-1-1-1000000002-20000-211-1-111000000000000
χ796666-3-6-666-6-6-3-3-3-3-333330000000000000000000000000000-2-200000000111100000000-2200002-1-111-1-1000000000000
χ806666-3-6-6-6-666-3-3-333-3-33300000000000000000000000000002200000000-1-1-1-100000000-220000-21111-1-1000000000000
χ816666-3-6-6-6-666-3-3-333-3-3330000000000000000000000000000-2-2000000001111000000002-200002-1-1-1-111000000000000
χ826-66-6-36-66i−6i6i−6i33-3−3i3i−3i3i-33000000000000000000000000000000000000003−33−30000000000000003−3−i3i3−i3i3000000000000
χ836-66-6-36-66i−6i6i−6i33-3−3i3i−3i3i-3300000000000000000000000000000000000000−33−33000000000000000−33i3−i3i3−i3000000000000
χ846-66-6-36-6−6i6i−6i6i33-33i−3i3i−3i-33000000000000000000000000000000000000003−33−30000000000000003−3i3−i3i3−i3000000000000
χ856-66-6-36-6−6i6i−6i6i33-33i−3i3i−3i-3300000000000000000000000000000000000000−33−33000000000000000−33−i3i3−i3i3000000000000
χ866-66-6-3-666i−6i−6i6i33-3−3i3i3i−3i3-3000000000000000000000000000000000000003−33−3000000000000000−33−i3i3i3−i3000000000000
χ876-66-6-3-666i−6i−6i6i33-3−3i3i3i−3i3-300000000000000000000000000000000000000−33−330000000000000003−3i3−i3−i3i3000000000000
χ886-66-6-3-66−6i6i6i−6i33-33i−3i−3i3i3-3000000000000000000000000000000000000003−33−3000000000000000−33i3−i3−i3i3000000000000
χ896-66-6-3-66−6i6i6i−6i33-33i−3i−3i3i3-300000000000000000000000000000000000000−33−330000000000000003−3−i3i3i3−i3000000000000
χ9088-8-880000008-8-8000000-4-4-4-4444422-2-2000000000000000000000000000000000000000000000000000000000000000
χ918-8-888000000-88-8000000-4-44444-4-42-2-22000000000000000000000000000000000000000000000000000000000000000
χ921212-12-12-6000000-66600000000000000000000000000000000004-400000000-2-222000000000000000000000000000000000
χ931212-12-12-6000000-6660000000000000000000000000000000000-440000000022-2-2000000000000000000000000000000000
χ9412-12-1212-60000006-660000000000000000000000000000000000000000000023−23−2323000000000000000000000000000000000
χ9512-12-1212-60000006-6600000000000000000000000000000000000000000000−232323−23000000000000000000000000000000000

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