Finite Group Databasebeta

← Group #11866332

Character table — Group #11866332

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444888888888812121212121212121212121216161616161616161818181824242424242424242424242424242424242436367272
order12223344666666344666121212121212121222121212121212121244444444888866666666224488121212121212121224242424242424244424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111-1-1111-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-11
χ10111111111111111-1-1111-1-1-1-111111-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111-1
χ11111111111111111-1-1111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-11111-1-1111-1
χ12111111111111111-1-1111-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-111-1-111-1-111-1-111-1-1-11
χ13111111111111111-1-1111-1-1-1-11111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-111-1-11-1
χ14111111111111111-1-1111-1-1-1-11111-11-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-111-1-1-1-111-1-11111-1-111-11
χ15111111111111111-1-1111-1-1-1-11111-11-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-11-1-11111-1-111-1-1-1-11111-11
χ16111111111111111-1-1111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-11-1
χ17222222-2-222222222-222222-2-2-2-2-2-2002-2-2-222-2-20000000000000000000022-2-20000000000000000002-200
χ18222222-2-222222222-222222-2-2-2-2-2-2002-2-2-222-2-200000000000000000000-2-222000000000000000000-2200
χ19222222-2-22222222-22222-2-222-2-2-2-200-22-2-2-2-2220000000000000000000022-2-2000000000000000000-2200
χ20222222-2-22222222-22222-2-222-2-2-2-200-22-2-2-2-22200000000000000000000-2-2220000000000000000002-200
χ2122222-1222-122-1-1-122-1-1-122-1-12-12-122-12-1-1-1-1-1-10022002200222-12-1-1-1-1-10000020000-1-1-1-10000-1-1-1-10000
χ2222222-1222-122-1-1-122-1-1-122-1-12-12-122-12-1-1-1-1-1-100-2-200-2-200-2-22-12-1-1-1-1-100000-200001111000011110000
χ2322222-1222-122-1-1-122-1-1-122-1-12-12-1-2-2-12-1-1-1-1-1-10022002200-2-2-21-21111100000-20000-1-1-1-1000011110000
χ2422222-1222-122-1-1-122-1-1-122-1-12-12-1-2-2-12-1-1-1-1-1-100-2-200-2-20022-21-211111000002000011110000-1-1-1-10000
χ2522222-1222-122-1-1-1-2-2-1-1-1-2-2112-12-12-21-2-1-11111002200-2-200222-1-21-1-11100000-20000-1-1110000-1-1110000
χ2622222-1222-122-1-1-1-2-2-1-1-1-2-2112-12-12-21-2-1-1111100-2-2002200-2-22-1-21-1-111000002000011-1-1000011-1-10000
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-2112-12-1-221-2-1-11111002200-2-200-2-2-212-111-1-10000020000-1-111000011-1-10000
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-2112-12-1-221-2-1-1111100-2-200220022-212-111-1-100000-2000011-1-10000-1-1110000
χ292222-1222-12-1-122-122-1-1-1-1-122-12-12222-1-1-1-1-1-1-1220022002200-12-12-1-1-1-1000020-1-1-1-10000-1-1-1-100000000
χ302222-1222-12-1-122-122-1-1-1-1-122-12-12222-1-1-1-1-1-1-1-2-200-2-200-2-200-12-12-1-1-1-10000-2011110000111100000000
χ312222-1222-12-1-122-122-1-1-1-1-122-12-12-2-22-1-1-1-1-1-1-122002200-2-2001-21-211110000-20-1-1-1-10000111100000000
χ322222-1222-12-1-122-122-1-1-1-1-122-12-12-2-22-1-1-1-1-1-1-1-2-200-2-20022001-21-2111100002011110000-1-1-1-100000000
χ332222-1222-12-1-122-1-2-2-1-1-111-2-2-12-122-2-21-1-111112200-2-2002200-121-2-1-1110000-20-1-1110000-1-11100000000
χ342222-1222-12-1-122-1-2-2-1-1-111-2-2-12-122-2-21-1-11111-2-2002200-2-200-121-2-1-11100002011-1-1000011-1-100000000
χ352222-1222-12-1-122-1-2-2-1-1-111-2-2-12-12-22-21-1-111112200-2-200-2-2001-2-1211-1-1000020-1-111000011-1-100000000
χ362222-1222-12-1-122-1-2-2-1-1-111-2-2-12-12-22-21-1-11111-2-200220022001-2-1211-1-10000-2011-1-10000-1-11100000000
χ372-2-22222-2-2-22-22-22002-2-2000022-2-200002-200002i−2i2i−2i00000000000000002-22-2002i−2i002i−2i00000000000000
χ382-2-22222-2-2-22-22-22002-2-2000022-2-200002-200002i−2i−2i2i0000000000000000-22-22002i−2i00−2i2i00000000000000
χ392-2-22222-2-2-22-22-22002-2-2000022-2-200002-20000−2i2i2i−2i0000000000000000-22-2200−2i2i002i−2i00000000000000
χ402-2-22222-2-2-22-22-22002-2-2000022-2-200002-20000−2i2i−2i2i00000000000000002-22-200−2i2i00−2i2i00000000000000
χ412-2-2222-22-2-22-22-22002-2-20000-2-2220000-22000000002-22-20000000000002-2-2200002-2002-2000000000000
χ422-2-2222-22-2-22-22-22002-2-20000-2-2220000-22000000002-2-22000000000000-222-200002-200-22000000000000
χ432-2-2222-22-2-22-22-22002-2-20000-2-2220000-2200000000-222-2000000000000-222-20000-22002-2000000000000
χ442-2-2222-22-2-22-22-22002-2-20000-2-2220000-2200000000-22-220000000000002-2-220000-2200-22000000000000
χ4544444-2-4-44-244-2-2-24-4-2-2-24422-42-4200-2-422-2-2220000000000000000000000000000000000000000000000
χ4644444-2-4-44-244-2-2-2-44-2-2-2-4-4-2-2-42-4200242222-2-20000000000000000000000000000000000000000000000
χ474444-24-4-4-24-2-244-24-4-2-2-2-2-2-4-42-42-4004222-2-2220000000000000000000000000000000000000000000000
χ484444-24-4-4-24-2-244-2-44-2-2-222442-42-400-4-22222-2-20000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-244-2-2111111000000000000-2-2-2-2111100000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2-4-4-2-21111110000000000002222-1-1-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-24-42211-1-1-1-1000000000000-2-22211-1-100000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-41112222-2-2-2-2-442211-1-1-1-100000000000022-2-2-1-11100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200-22-1-111-1-100000000000000003-33-300000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-4111-2-222222200-22-1-111-1-10000000000000000-33-3300000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-4411122-2-22222002-2-1-1-1-11100000000000000003-3-3300000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-4411122-2-22222002-2-1-1-1-1110000000000000000-333-300000000000000000000000000
χ5744-4-444004-4-4-4-44400-44-400000000000000000000000000−2i22i2000000000000000000000000−2i22i20000000000
χ5844-4-444004-4-4-4-44400-44-4000000000000000000000000002i2−2i20000000000000000000000002i2−2i20000000000
χ5944-4-4-2400-2-422-44-2002-22−2i32i3000000000000−2i32i30000000000−2i22i2000000000000000000000000i2−i26−600000000
χ6044-4-4-2400-2-422-44-2002-22−2i32i3000000000000−2i32i300000000002i2−2i2000000000000000000000000−i2i2−6600000000
χ6144-4-4-2400-2-422-44-2002-222i3−2i30000000000002i3−2i30000000000−2i22i2000000000000000000000000i2−i2−6600000000
χ6244-4-4-2400-2-422-44-2002-222i3−2i30000000000002i3−2i300000000002i2−2i2000000000000000000000000−i2i26−600000000
χ634-44-44400-44-44-4-4400-4-440000000000000000000000000000−2i22i200000000000000000000000000−2i22i2000000
χ644-44-44400-44-44-4-4400-4-4400000000000000000000000000002i2−2i2000000000000000000000000002i2−2i2000000
χ654-44-44-200-4-2-4422-20022-200−2i32i3000000000000−2i32i30000000000−2i22i200000000000000000000000000i2−i26−60000
χ664-44-44-200-4-2-4422-20022-200−2i32i3000000000000−2i32i300000000002i2−2i200000000000000000000000000−i2i2−660000
χ674-44-44-200-4-2-4422-20022-2002i3−2i30000000000002i3−2i30000000000−2i22i200000000000000000000000000i2−i2−660000
χ684-44-44-200-4-2-4422-20022-2002i3−2i30000000000002i3−2i300000000002i2−2i200000000000000000000000000−i2i26−60000
χ694-4-444-24-4-424-4-22-200-22200004-2-420000-220000004i−4i00000000000000000000000000−2i2i00000000000000
χ704-4-444-24-4-424-4-22-200-22200004-2-420000-22000000−4i4i000000000000000000000000002i−2i00000000000000
χ714-4-444-2-44-424-4-22-200-2220000-424-200002-200000000004-4000000000000000000000000-22000000000000
χ724-4-444-2-44-424-4-22-200-2220000-424-200002-20000000000-440000000000000000000000002-2000000000000
χ734-4-44-244-42-4-224-4-200-2220000-242-40000-2200004i−4i000000000000000000000000−2i2i000000000000000000
χ744-4-44-244-42-4-224-4-200-2220000-242-40000-220000−4i4i0000000000000000000000002i−2i000000000000000000
χ754-4-44-24-442-4-224-4-200-22200002-4-2400002-2000000004-40000000000000000000000-220000000000000000
χ764-4-44-24-442-4-224-4-200-22200002-4-2400002-200000000-4400000000000000000000002-20000000000000000
χ7788-8-88-40084-8-84-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44444-4200-22-2−4i34i30000000000002i3−2i3000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-4200-22-24i3−4i3000000000000−2i32i3000000000000000000000000000000000000000000000000
χ808-88-8-4800484-4-8-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-44-444200-2-2200−4i34i30000000000002i3−2i30000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444200-2-22004i3−4i3000000000000−2i32i30000000000000000000000000000000000000000000000
χ838-8-88-4-48-844-44-442002-2-20000-4-44400002-200000000000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-44-442002-2-2000044-4-40000-2200000000000000000000000000000000000000000000000000

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