Finite Group Databasebeta

← Group #11781536

Character table — Group #11781536

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222444444444444444444444888888888888888888888818181818242424242424242424242424363636363636484848484848
order12223344446666662234446661212121212121212121212126666666612121212121212121212121212128888888824242424242424248888884412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111
χ51111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111
χ81111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1
χ92222222-22-2222222222-2-2-222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222-2-2-2-2-2-20000000000000000000000000000
χ102222222-22-2222222-2-22-22222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-222-22222-2-222220000000000000000000000000000
χ11222222-22-22222222002-200222-2-222222222-2-200000000-200-200-2-2-2-200002222000000000000-2-20000000000
χ12222222-22-22222222002-200222-2-222222222-2-200000000-200-200-2-2-2-20000-2-2-2-2000000000000220000000000
χ13222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000200200-2-22200000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000200200-2-2220000000000000000000000−2i−2i2i2i000000
χ1522222-1222222-1-1-1222-1222-1-1-12-1-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-100002200-1-1-1-1000000000020-1-100
χ1622222-1222222-1-1-1222-1222-1-1-12-1-1-122-1-1-1-12-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-10000-2-20011110000000000-201100
χ1722222-1222222-1-1-12-2-2-12-2-2-1-1-12-1-1-122-1-1-1-12-1-2-2111111211-1-2-2-1-1-1-1111100002200-1-1-1-10000000000-201100
χ1822222-1222222-1-1-12-2-2-12-2-2-1-1-12-1-1-122-1-1-1-12-1-2-2111111211-1-2-2-1-1-1-111110000-2-2001111000000000020-1-100
χ1922222-12-22-222-1-1-1222-1-2-2-2-1-1-12-111-2-211112-122-1-1-1-1-1-1-2111-2-2-1-111111100000000−i3−i3i3i3000000000000−i3i300
χ2022222-12-22-222-1-1-1222-1-2-2-2-1-1-12-111-2-211112-122-1-1-1-1-1-1-2111-2-2-1-111111100000000i3i3−i3−i3000000000000i3−i300
χ2122222-12-22-222-1-1-12-2-2-1-222-1-1-12-111-2-211112-1-2-2111111-2-1-1122-1-111-1-1-1-100000000−i3−i3i3i3000000000000i3−i300
χ2222222-12-22-222-1-1-12-2-2-1-222-1-1-12-111-2-211112-1-2-2111111-2-1-1122-1-111-1-1-1-100000000i3i3−i3−i3000000000000−i3i300
χ232222-122222-1-1222-122-1222-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-10000000200-1-1
χ242222-122222-1-1222-122-1222-1-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1000000-2-2000011110000000-20011
χ252222-122222-1-1222-1-2-2-12-2-2-1-1-1-1222-1-1-1-1-1-1-1211-2-21111-1-2-2211-1-1-1-11111000000220000-1-1-1-10000000-20011
χ262222-122222-1-1222-1-2-2-12-2-2-1-1-1-1222-1-1-1-1-1-1-1211-2-21111-1-2-2211-1-1-1-11111000000-2-2000011110000000200-1-1
χ272222-122-22-2-1-1222-122-1-2-2-2-1-1-1-12-2-2111111-12-1-122-1-1-1-11-2-2-211-1-1111111000000000000−i3−i3i3i30000000000−i3i3
χ282222-122-22-2-1-1222-122-1-2-2-2-1-1-1-12-2-2111111-12-1-122-1-1-1-11-2-2-211-1-1111111000000000000i3i3−i3−i30000000000i3−i3
χ292222-122-22-2-1-1222-1-2-2-1-222-1-1-1-12-2-2111111-1211-2-21111122-2-1-1-1-111-1-1-1-1000000000000−i3−i3i3i30000000000i3−i3
χ302222-122-22-2-1-1222-1-2-2-1-222-1-1-1-12-2-2111111-1211-2-21111122-2-1-1-1-111-1-1-1-1000000000000i3i3−i3−i30000000000−i3i3
χ3122-2-22220-202-22-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-200000022−2−20000000000002−22−22−2000000
χ3222-2-22220-202-22-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-2000000−2−222000000000000−22−22−22000000
χ3322-2-22220-202-22-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-200000022−2−20000000000002−2−22−22000000
χ3422-2-22220-202-22-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-2000000−2−222000000000000−222−22−2000000
χ3522-2-222-20202-22-2-2-200202i−2i2-2-2-2-200000000220000000002i−2i02i−2i-22002i2i−2i−2i22−2−2000000000000−22−i2i2i2−i2000000
χ3622-2-222-20202-22-2-2-200202i−2i2-2-2-2-200000000220000000002i−2i02i−2i-22002i2i−2i−2i−2−2220000000000002−2i2−i2−i2i2000000
χ3722-2-222-20202-22-2-2-20020−2i2i2-2-2-2-20000000022000000000−2i2i0−2i2i-2200−2i−2i2i2i22−2−2000000000000−22i2−i2−i2i2000000
χ3822-2-222-20202-22-2-2-20020−2i2i2-2-2-2-20000000022000000000−2i2i0−2i2i-2200−2i−2i2i2i−2−2220000000000002−2−i2i2i2−i2000000
χ392-2-2222020-2-2-2-22-22002000-2-22002-22-222-2-20000000000000000000000002i−2i2i−2i−i2i22−2−i2i2−i2i22−22−2000000000000
χ402-2-2222020-2-2-2-22-22002000-2-22002-22-222-2-20000000000000000000000002i−2i2i−2ii2−i2−22i2−i2i2−i2−22−22000000000000
χ412-2-2222020-2-2-2-22-22002000-2-22002-22-222-2-2000000000000000000000000−2i2i−2i2i−i2i2−22−i2i2−i2i2−22−22000000000000
χ422-2-2222020-2-2-2-22-22002000-2-22002-22-222-2-2000000000000000000000000−2i2i−2i2ii2−i22−2i2−i2i2−i22−22−2000000000000
χ4344444-2-44-4444-2-2-2400-2-400-2-2-2-42-2-244-2-2-2-2-4200000000-400200222200000000000000000000000000000000
χ4444444-2-4-4-4-444-2-2-2400-2400-2-2-2-4222-4-42222-4200000000400-20022-2-200000000000000000000000000000000
χ454444-24-44-44-2-2444-200-2-400-2-2-22-444-2-2-2-2-2-22-400000000200-400222200000000000000000000000000000000
χ464444-24-4-4-4-4-2-2444-200-2400-2-2-22-4-4-42222222-400000000-20040022-2-200000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000
χ484444-2-24444-2-2-2-2-2-2-4-414-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-222-2221111-1-1-1-10000000000000000000000000000
χ494444-2-24-44-4-2-2-2-2-2-2441-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-2-4-41-444111-2-22222-1-1-1-1-2-22222-1-1-1-12-2-22-2-211-1-111110000000000000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-2001-40011122-2-2-2-211112200003-33-3200200-1-1-1-13-33-30000000000000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-2001-40011122-2-2-2-21111220000-33-33200200-1-1-1-1-33-330000000000000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-12200003-33-3-200-200-1-111-33-330000000000000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-1220000-33-33-200-200-1-1113-33-30000000000000000000000000000
χ5544-4-44-240-404-4-222-44-4-2000-2224-200000000-424-4-22-2-222000000-220000000000000000000000000000000000
χ5644-4-44-240-404-4-222-4-44-2000-2224-200000000-42-442-222-2-2000000-220000000000000000000000000000000000
χ5744-4-44-2-40404-4-222-400-204i−4i-222-42000000004-2000000000−2i2i04i−4i2-200−2i−2i2i2i0000000000000000000000000000
χ5844-4-44-2-40404-4-222-400-20−4i4i-222-42000000004-20000000002i−2i0−4i4i2-2002i2i−2i−2i0000000000000000000000000000
χ5944-4-4-2440-40-224-4-424-4-2000-222-24000000002-4-224-4-2-222000000-220000000000000000000000000000000000
χ6044-4-4-2440-40-224-4-42-44-2000-222-24000000002-42-2-4422-2-2000000-220000000000000000000000000000000000
χ6144-4-4-24-4040-224-4-4200-204i−4i-2222-400000000-240000000004i−4i0−2i2i2-200−2i−2i2i2i0000000000000000000000000000
χ6244-4-4-24-4040-224-4-4200-20−4i4i-2222-400000000-24000000000−4i4i02i−2i2-2002i2i−2i−2i0000000000000000000000000000
χ6344-4-4-2-240-40-22-22224-410001-1-1-2-200003i−3i3i−3i22-22-2211-1-10000001-13i−3i3i−3i−3i3i0000000000000000000000000000
χ6444-4-4-2-240-40-22-22224-410001-1-1-2-20000−3i3i−3i3i22-22-2211-1-10000001-1−3i3i−3i3i3i−3i0000000000000000000000000000
χ6544-4-4-2-240-40-22-2222-4410001-1-1-2-200003i−3i3i−3i222-22-2-1-1110000001-13i−3i−3i3i3i−3i0000000000000000000000000000
χ6644-4-4-2-240-40-22-2222-4410001-1-1-2-20000−3i3i−3i3i222-22-2-1-1110000001-1−3i3i3i−3i−3i3i0000000000000000000000000000
χ6744-4-4-2-2-4040-22-222200104i−4i1-1-12200003i−3i3i−3i-2-200003-3-330−2i2i0−2i2i-11−3i3iii−i−i0000000000000000000000000000
χ6844-4-4-2-2-4040-22-222200104i−4i1-1-1220000−3i3i−3i3i-2-20000-333-30−2i2i0−2i2i-113i−3iii−i−i0000000000000000000000000000
χ6944-4-4-2-2-4040-22-22220010−4i4i1-1-12200003i−3i3i−3i-2-20000-333-302i−2i02i−2i-11−3i3i−i−iii0000000000000000000000000000
χ7044-4-4-2-2-4040-22-22220010−4i4i1-1-1220000−3i3i−3i3i-2-200003-3-3302i−2i02i−2i-113i−3i−i−iii0000000000000000000000000000
χ714-44-4440000-44-4-44-4004000-44-40000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ724-44-4440000-44-4-44-4004000-44-400000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ734-4-44440-404-4-4-44-44004000-4-4400-44-44-4-4440000000000000000000000000000000000000000000000000000
χ744-4-444-2040-4-4-42-22400-200022-200-224-4-2-2220000000000000000000000000000−2i22i200i2−i2i2−i20000000000000000
χ754-4-444-2040-4-4-42-22400-200022-200-224-4-2-22200000000000000000000000000002i2−2i200−i2i2−i2i20000000000000000
χ764-4-444-20-404-4-42-22400-200022-2002-2-4422-2-2000000000000000000000000000000006−6−660000000000000000
χ774-4-444-20-404-4-42-22400-200022-2002-2-4422-2-200000000000000000000000000000000−666−60000000000000000
χ784-4-44-24040-422-44-4-200-200022-2004-4-22-2-22200000000000000000000000000000022−220000−22−22000000000000
χ794-4-44-24040-422-44-4-200-200022-2004-4-22-2-222000000000000000000000000000000−222200002−22−2000000000000
χ804-4-44-240-40422-44-4-200-200022-200-442-222-2-2000000000000000000000000000000000000i6−i6−i6i6000000000000
χ814-4-44-240-40422-44-4-200-200022-200-442-222-2-2000000000000000000000000000000000000−i6i6i6−i6000000000000
χ828-88-88-40000-8844-4-800-40004-4400000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800004-4-8-88400-40004-4400000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400004-444-44002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ858-88-8-4-400004-444-44002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ868-8-88-4-4080-8444-44-4002000-2-2200-44-4422-2-20000000000000000000000000000000000000000000000000000
χ878-8-88-4-40-808444-44-4002000-2-22004-44-4-2-2220000000000000000000000000000000000000000000000000000

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