Finite Group Databasebeta

← Group #11882326

Character table — Group #11882326

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666366688121212124444226666121224242424242424244488881212121266666622442444121212121212242424248861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1111-1-111-1-1111111-1-1-1-111-1-11-111-1-111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1111
χ5111111111111111111111111-1-11111111111111111111-1-1-111-1-111111111-1-1-1-1-1-111-11-1-111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-111111-1-1111-1-111-1-1-1-1-1-11-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1111111-111-11111-1-1-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1111-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1111111-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-111-1-1-1-1-11-111-11111-1-11111-1-11-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-111-1111-1-1-1-1-1-1-11-11-11111111-1-111-1-1-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1111-1-1-111-1-1-1-11-11-1-11-1-1-1-111-1-111111-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-111-1-1-111-1-11111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111111-1-11-1-1-1-1111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-200002222000000-2-2220000-2-200000000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-2000022-2-200000022-2-20000-2200000000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-220000-2-22200000022-2-200002-200000000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-2000000-2-22200002200000000000000
χ2122222-122-12-122-1-1-1-1-122-12-1222002222-1-1-1-122-1-1-1-1-1-1022200-1-1002-1-1-1-1-100002200-10-1-100-1-10000-1000
χ2222222-122-12-122-1-1-1-1-122-12-122200-2-2-2-211-1-122-1-1-1-1-1-1022200-1-100-2111110000-2-200-101100-1-100001000
χ2322222-122-12-122-1-1-1-1-122-12-12-2-2002222-1-1-1-122-1-1-1-1-1-10-2-2-20011002-1-1-1-1-10000-2-2001011001100001000
χ2422222-122-12-122-1-1-1-1-122-12-12-2-200-2-2-2-211-1-122-1-1-1-1-1-10-2-2-2001100-2111110000220010-1-100110000-1000
χ2522222-122-12-122-1-1-1-1-1-2-2-12-1222002-22211-1-1-2-211111102-2-200-1-100-2-1-1-11100002-200-101100110000-1000
χ2622222-122-12-122-1-1-1-1-1-2-2-12-122200-22-2-2-1-1-1-1-2-211111102-2-200-1-1002111-1-10000-2200-10-1-1001100001000
χ2722222-122-12-122-1-1-1-1-1-2-2-12-12-2-2002-22211-1-1-2-21111110-222001100-2-1-1-1110000-220010-1-100-1-100001000
χ2822222-122-12-122-1-1-1-1-1-2-2-12-12-2-200-22-2-2-1-1-1-1-2-21111110-2220011002111-1-100002-200101100-1-10000-1000
χ292222-12222-12-1-12-1-1-1-1222-12-1002222-1-122-1-1-1-122-1-1-1-120002200-1-1-12-1-1-1-1000000220-100-1-100-1-1000-100
χ302222-12222-12-1-12-1-1-1-1222-12-10022-2-211-2-2-1-1-1-122-1-1-1-120002200-1-11-21111000000-2-20-1001100-1-1000100
χ312222-12222-12-1-12-1-1-1-1222-12-100-2-222-1-122-1-1-1-122-1-1-1-1-2000-2-20011-12-1-1-1-1000000-2-20100110011000100
χ322222-12222-12-1-12-1-1-1-1222-12-100-2-2-2-211-2-2-1-1-1-122-1-1-1-1-2000-2-200111-21111000000220100-1-10011000-100
χ332222-12222-12-1-12-1-1-1-1-2-22-12-100222-2-1-1-2-2-1-111-2-211112000-2-200-1-112-1-111000000-220-100-1-10011000100
χ342222-12222-12-1-12-1-1-1-1-2-22-12-10022-221122-1-111-2-211112000-2-200-1-1-1-211-1-10000002-20-100110011000-100
χ352222-12222-12-1-12-1-1-1-1-2-22-12-100-2-22-2-1-1-2-2-1-111-2-21111-200022001112-1-1110000002-201001100-1-1000-100
χ362222-12222-12-1-12-1-1-1-1-2-22-12-100-2-2-221122-1-111-2-21111-2000220011-1-211-1-1000000-220100-1-100-1-1000100
χ3722-2-22200-22-2-2-2222-2-22−200002-22i−2i000000002−22−222−2−2002−2−i2i22-22i−2i000000002i−2i00000000002−2−i2i2−i2i20000
χ3822-2-22200-22-2-2-2222-2-22−200002-2−2i2i000000002−22−222−2−2002−2i2−i22-2−2i2i00000000−2i2i00000000002−2i2−i2i2−i20000
χ3922-2-22200-22-2-2-2222-2-22−20000-222i−2i000000002−22−222−2−200−22−i2i2-222i−2i00000000−2i2i0000000000−22−i2i2i2−i20000
χ4022-2-22200-22-2-2-2222-2-22−20000-22−2i2i000000002−22−222−2−200−22i2−i2-22−2i2i000000002i−2i0000000000−22i2−i2−i2i20000
χ4122-2-22200-22-2-2-2222-2-2−2200002-22i−2i00000000−22−22−2−22200−22i2−i22-22i−2i000000002i−2i0000000000−22i2−i2i2−i20000
χ4222-2-22200-22-2-2-2222-2-2−2200002-2−2i2i00000000−22−22−2−22200−22−i2i22-2−2i2i00000000−2i2i0000000000−22−i2i2−i2i20000
χ4322-2-22200-22-2-2-2222-2-2−220000-222i−2i00000000−22−22−2−222002−2i2−i2-222i−2i00000000−2i2i00000000002−2i2−i2−i2i20000
χ4422-2-22200-22-2-2-2222-2-2−220000-22−2i2i00000000−22−22−2−222002−2−i2i2-22−2i2i000000002i−2i00000000002−2−i2i2i2−i20000
χ4544444-2-4-4-24-244-2-2-2-2-2002-42-4440000000022000000000-40000-2-200000000000000002000000000000000
χ4644444-2-4-4-24-244-2-2-2-2-2002-42-4-4-4000000002200000000040000220000000000000000-2000000000000000
χ474444-24-4-44-24-2-24-2-2-2-200-42-4200440000002200000000-40000000-2-2000000000000000200000000000000
χ484444-24-4-44-24-2-24-2-2-2-200-42-4200-4-400000022000000004000000022000000000000000-200000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000002-211-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-10000000000-22-1-111000000000000000000000000
χ5344-4-44-200242-4-4-2-2-22222−2200004-4000000000022−22−22−2−2220022−2200-220000000000000000000000−2200000000
χ5444-4-44-200242-4-4-2-2-22222−220000-44000000000022−22−22−2−22200−2222002-200000000000000000000002−200000000
χ5544-4-44-200242-4-4-2-2-222−222200004-40000000000−22222−222−2−200−222200-2200000000000000000000002−200000000
χ5644-4-44-200242-4-4-2-2-222−22220000-440000000000−22222−222−2−20022−22002-20000000000000000000000−2200000000
χ5744-4-4-2400-4-2-4224-2-22222−220000004i−4i00000000−2222−22−2−2220000−2i22i200−2i2i0000000000000000000000i2−i2000000
χ5844-4-4-2400-4-2-4224-2-22222−22000000−4i4i00000000−2222−22−2−22200002i2−2i2002i−2i0000000000000000000000−i2i2000000
χ5944-4-4-2400-4-2-4224-2-222−22220000004i−4i000000002−2−222222−2−200002i2−2i200−2i2i0000000000000000000000−i2i2000000
χ6044-4-4-2400-4-2-4224-2-222−2222000000−4i4i000000002−2−222222−2−20000−2i22i2002i−2i0000000000000000000000i2−i2000000
χ614-44-4444-44-4-44-4-44-4-440044-4-400000000004-4000000000000000000000000000000000000000000000000
χ624-44-444-444-4-44-4-44-4-4400-4-4440000000000-44000000000000000000000000000000000000000000000000
χ634-44-44-24-4-2-424-42-222-200-242-40000000000-22000000000000000000000000000000000023−23000000000000
χ644-44-44-24-4-2-424-42-222-200-242-40000000000-220000000000000000000000000000000000−2323000000000000
χ654-44-44-2-44-2-424-42-222-2002-4-2400000000−2i32i32-20000000000000000000000−2i32i3000000000000000000000000
χ664-44-44-2-44-2-424-42-222-2002-4-24000000002i3−2i32-200000000000000000000002i3−2i3000000000000000000000000
χ674-44-4-244-442-4-22-4-222-2004-2-420000000000-2200000000000000000000000000000000000023−230000000000
χ684-44-4-244-442-4-22-4-222-2004-2-420000000000-22000000000000000000000000000000000000−23230000000000
χ694-44-4-24-4442-4-22-4-222-200-424-2000000−2i32i3002-200000000000000000000−2i32i300000000000000000000000000
χ704-44-4-24-4442-4-22-4-222-200-424-20000002i3−2i3002-2000000000000000000002i3−2i300000000000000000000000000
χ714-44-4-2-2-44-222-2221-1-110022-2-2000000−2i32i3−2i32i3-1100003-33-3000000000000i3−i3i3−i3000000000000000000000000
χ724-44-4-2-2-44-222-2221-1-110022-2-2000000−2i32i32i3−2i3-110000-33-33000000000000i3−i3−i3i3000000000000000000000000
χ734-44-4-2-2-44-222-2221-1-110022-2-20000002i3−2i3−2i32i3-110000-33-33000000000000−i3i3i3−i3000000000000000000000000
χ744-44-4-2-2-44-222-2221-1-110022-2-20000002i3−2i32i3−2i3-1100003-33-3000000000000−i3i3−i3i3000000000000000000000000
χ754-4-444400-4-44-44-44-44-40000000000000000000000000000000000000000004-40000000000000000000000
χ764-4-444400-4-44-44-44-44-4000000000000000000000000000000000000000000-440000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-4444-422-2-242−420000000000000000−2222−222222−2−20000000000000000000000000000000000000000
χ7988-8-8-4-4004-4444-422-2-2−4242000000000000000022−2222−22−2−2220000000000000000000000000000000000000000
χ808-88-8-4-48-8-444-4442-2-2200-4-44400000000002-2000000000000000000000000000000000000000000000000
χ818-8-888-4004-8-4-884-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8484-4-8-44-44000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-442-22-2000000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-40044-44-442-22-20000000000000000000000−323232−320000000000000000000000000000000000000000

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