Finite Group Databasebeta

← Group #11781531

Character table — Group #11781531

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order12223344446666663466612121212121212121212888812121212121212224488242424242424242441212121212121212668812122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-1
χ92222222-2-222222222-2222222-2-2-2-2-2-220000-222-2-2-2-222-2-200000000000000000002200-2-20000000000000
χ102222222-2-222222222-2222222-2-2-2-2-2-220000-222-2-2-2-2-2-2220000000000000000000-2-200220000000000000
χ11222222-222-22222222-2222-2-2-222-2-222-22222-2-2-2-2-2220000-2-22222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-2222-2-2-222-2-222-2-2-2-2-2-2-2-2-2-222000022-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-222-2-2-200002-2-222-2-20000000000000000000000000000000002i2i−2i−2i00000
χ14222222-2-2-2-222222222222-2-2-2-2-222-2-2-200002-2-222-2-2000000000000000000000000000000000−2i−2i2i2i00000
χ1522222-122222-1-12-12-12-1-1-122-1-1-12222-10000-1-1-1-1-1-1-122220000000000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000
χ1622222-122222-1-12-12-12-1-1-122-1-1-12222-10000-1-1-1-1-1-1-122220000000000-2-2-2111111-1-1-2-2-1-11111000000000
χ1722222-122222-1-12-12-12-1-1-122-1-1-12222-10000-1-1-1-1-1-1-1-2-2-2-20000000000222-1-1-1-1-1-111-2-2111111000000000
χ1822222-122222-1-12-12-12-1-1-122-1-1-12222-10000-1-1-1-1-1-1-1-2-2-2-20000000000-2-2-2111111112211-1-1-1-1000000000
χ1922222-12-2-222-1-12-12-1-2-1-1-122-111-2-2-2-2-100001-1-1111122-2-20000000000000−i3i3−i3−i3i3i3-1-10011−i3−i3i3i3000000000
χ2022222-12-2-222-1-12-12-1-2-1-1-122-111-2-2-2-2-100001-1-1111122-2-20000000000000i3−i3i3i3−i3−i3-1-10011i3i3−i3−i3000000000
χ2122222-12-2-222-1-12-12-1-2-1-1-122-111-2-2-2-2-100001-1-11111-2-2220000000000000−i3i3−i3−i3i3i31100-1-1i3i3−i3−i3000000000
χ2222222-12-2-222-1-12-12-1-2-1-1-122-111-2-2-2-2-100001-1-11111-2-2220000000000000i3−i3i3i3−i3−i31100-1-1−i3−i3i3i3000000000
χ232222-122222-122-12-1-12-1-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000002-1-100
χ242222-122222-122-12-1-12-1-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-211-2-2111100000000000000-21100
χ252222-122222-122-12-1-12-1-1-1-1-1222-1-1-1-12-2-2-2-22-1-1-1-1-1-10000-2-2111111112-1-122-1-1-1-100000000000000-21100
χ262222-122222-122-12-1-12-1-1-1-1-1222-1-1-1-12-2-2-2-22-1-1-1-1-1-10000-2-211111111-211-2-21111000000000000002-1-100
χ272222-12-222-2-122-12-1-1-2-1-1-111-22211-1-1-22222-21111-1-10000-2-2-1-1-1-111110−i3i300−i3i3−i3i3000000000000000−i3i300
χ282222-12-222-2-122-12-1-1-2-1-1-111-22211-1-1-22222-21111-1-10000-2-2-1-1-1-111110i3−i300i3−i3i3−i3000000000000000i3−i300
χ292222-12-222-2-122-12-1-1-2-1-1-111-22211-1-1-2-2-2-2-2-21111-1-10000221111-1-1-1-10−i3i300−i3i3−i3i3000000000000000i3−i300
χ302222-12-222-2-122-12-1-1-2-1-1-111-22211-1-1-2-2-2-2-2-21111-1-10000221111-1-1-1-10i3−i300i3−i3i3−i3000000000000000−i3i300
χ3122-2-222200-222-2-2-2-2202-2-22-22000000-222−2−202-200002-2002−222−2−222−2−20000000002-2000000002−22−200000
χ3222-2-222200-222-2-2-2-2202-2-22-22000000-222−2−202-20000-22002−222−2−222−2−2000000000-2200000000−22−2200000
χ3322-2-222200-222-2-2-2-2202-2-22-22000000-2−2−22202-200002-200−22−2−222−2−2220000000002-200000000−22−2200000
χ3422-2-222200-222-2-2-2-2202-2-22-22000000-2−2−22202-20000-2200−22−2−222−2−222000000000-22000000002−22−200000
χ3522-2-222-200222-2-2-2-2202-2-2-22-2000000222−2−20-220000002i−2i−2222−2−2−2−22200000000000002i−2i0000−i2i2i2−i200000
χ3622-2-222-200222-2-2-2-2202-2-2-22-2000000222−2−20-22000000−2i2i−2222−2−2−2−2220000000000000−2i2i0000i2−i2−i2i200000
χ3722-2-222-200222-2-2-2-2202-2-2-22-20000002−2−2220-220000002i−2i2−2−2−22222−2−200000000000002i−2i0000i2−i2−i2i200000
χ3822-2-222-200222-2-2-2-2202-2-2-22-20000002−2−2220-22000000−2i2i2−2−2−22222−2−20000000000000−2i2i0000−i2i2i2−i200000
χ392-22-22202-20-2-2-222-220-2-220002-2002-202i−2i2i−2i000002-20000002i−2i2i−2i0000000000000002−2002−22−20000000−i2i2
χ402-22-22202-20-2-2-222-220-2-220002-2002-202i−2i2i−2i000002-20000002i−2i2i−2i000000000000000−2200−22−220000000i2−i2
χ412-22-22202-20-2-2-222-220-2-220002-2002-20−2i2i−2i2i000002-2000000−2i2i−2i2i0000000000000002−2002−22−20000000i2−i2
χ422-22-22202-20-2-2-222-220-2-220002-2002-20−2i2i−2i2i000002-2000000−2i2i−2i2i000000000000000−2200−22−220000000−i2i2
χ4344444-2-444-44-2-24-24-2-4-2-2-2-4-42-2-2-4-4442000022222-2-2000000000000000000000000000000000000000000
χ4444444-2-4-4-4-44-2-24-24-24-2-2-2-4-422244-4-420000-222-2-222000000000000000000000000000000000000000000
χ454444-244-4-44-244-24-2-2-4-2-2-2-2-24-4-4222240000-4-2-22222000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-244-24-2-24-2-2-222-4-4-4-2-222-40000422-2-222000000000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-2111111000000000000004-2-2-2-211110000000000000000000
χ484444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-211111100000000000000-42222-1-1-1-10000000000000000000
χ494444-2-24-4-44-2-2-2-2-2-21-4111-2-2-2222222-20000211-1-1-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-4111-2-2-2222222-20000211-1-1-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-4111222-2-222-2-2200002-1-1-1-111000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-4111222-2-222-2-2200002-1-1-1-1110000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-22220000-2-1-111-1-100000000000000000003-3-330000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-21411122222-2-22220000-2-1-111-1-10000000000000000000-333-30000000000000000000
χ5544-4-44-2400-44-22-42-4-20-2224-4-2000000200000-2200004-4000000000000000000000-2200000000000000000
χ5644-4-44-2400-44-22-42-4-20-2224-4-2000000200000-220000-440000000000000000000002-200000000000000000
χ5744-4-44-2-40044-22-42-4-20-222-442000000-2000002-20000004i−4i00000000000000000000000−2i2i0000000000000
χ5844-4-44-2-40044-22-42-4-20-222-442000000-2000002-2000000−4i4i000000000000000000000002i−2i0000000000000
χ5944-4-4-24400-4-24-42-42-20-222-224000000-42222−22−220-220000000022−22−2−222−2−2220000000000000000000000000000
χ6044-4-4-24400-4-24-42-42-20-222-224000000-4−22−2222220-2200000000−222222−2−222−2−20000000000000000000000000000
χ6144-4-4-24-4004-24-42-42-20-2222-2-400000042222−22−2202-200000000−2222−2−22222−2−20000000000000000000000000000
χ6244-4-4-24-4004-24-42-42-20-2222-2-40000004−22−22222202-20000000022−2222−2−2−2−2220000000000000000000000000000
χ634-44-4440-440-4-4-444-440-4-44000-4400-440000000000-44000000000000000000000000000000000000000000
χ644-44-44-204-40-4224-2-4-2022-2000-22004-40000000000-22000000000000000000000000022−2200−22−22000000000
χ654-44-44-204-40-4224-2-4-2022-2000-22004-40000000000-220000000000000000000000000−2222002−22−2000000000
χ664-44-44-20-440-4224-2-4-2022-20002-200-4400000000002-200000000000000000000000000000i6−i6−i6i6000000000
χ674-44-44-20-440-4224-2-4-2022-20002-200-4400000000002-200000000000000000000000000000−i6i6i6−i6000000000
χ684-44-4-2404-402-4-4-242-2022-20004-400-2204i−4i4i−4i00000-22000000−2i2i−2i2i00000000000000000000000000000000
χ694-44-4-2404-402-4-4-242-2022-20004-400-220−4i4i−4i4i00000-220000002i−2i2i−2i00000000000000000000000000000000
χ704-44-4-240-4402-4-4-242-2022-2000-44002-200000000002-2000000000023−2323−230000000000000000000000000000
χ714-44-4-240-4402-4-4-242-2022-2000-44002-200000000002-20000000000−2323−23230000000000000000000000000000
χ724-4-44440000-4-44-4-4440-44-40000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ734-4-44440000-4-44-4-4440-44-400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ744-4-44-2400002-442-4-2-202-2200000−2i32i3000−2i22i22i2−2i2000−2i32i300000000i2−i2−i2i26−6−660000000000000000000000000000
χ754-4-44-2400002-442-4-2-202-2200000−2i32i30002i2−2i2−2i22i2000−2i32i300000000−i2i2i2−i2−666−60000000000000000000000000000
χ764-4-44-2400002-442-4-2-202-22000002i3−2i3000−2i22i22i2−2i20002i3−2i300000000i2−i2−i2i2−666−60000000000000000000000000000
χ774-4-44-2400002-442-4-2-202-22000002i3−2i30002i2−2i2−2i22i20002i3−2i300000000−i2i2i2−i26−6−660000000000000000000000000000
χ7888-8-8-4-4800-8-4-44444202-2-2-44-40000004000002-20000000000000000000000000000000000000000000000
χ7988-8-8-4-4-8008-4-44444202-2-24-44000000-400000-220000000000000000000000000000000000000000000000
χ808-88-8-4-408-80444-4-4420-2-22000-4400-4400000000002-2000000000000000000000000000000000000000000
χ818-88-8-4-40-880444-4-4420-2-220004-4004-40000000000-22000000000000000000000000000000000000000000
χ828-8-888-40000-84-4-848-404-44000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4000044-444-420-22-200000−4i34i300000000002i3−2i300000000000000000000000000000000000000000000
χ848-8-88-4-4000044-444-420-22-2000004i3−4i30000000000−2i32i300000000000000000000000000000000000000000000

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