Finite Group Databasebeta

← Group #11878487

Character table — Group #11878487

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444488888888888888121212121212121212121212121212121212121216161616161624242424242424242424484872727272
order122233446666662346666612121212121244666121212121212121212224466888812122424242424242424121212121212244466612121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-111111111111111-11-11-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1111-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111
χ61111111111111111111111111111-1-1111-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111-1-1
χ71111111111111111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11-11-1-11111-1-1-111-1-1
χ81111111111111111111111111111-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-111-1-111
χ911111111111111-11-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-11-11-11111-1-1111111-1-1-1-1-11-1-11111-1-1-111-1-1-1-11-111-1
χ1011111111111111-11-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-11-11-111-1-11111-1-1-1-11111-11-1-1111-1-11-111-1-1-11-11-1-11
χ1111111111111111-11-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-11-1-111-111-11-1-1111-111-1-11
χ1211111111111111-11-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-111-1-1-1-1-1-11111-11-1-111-1-1111-1-11111-1-111-1
χ1311111111111111-11-1-1-1111111-1-11-11-1-1-111-1-1-111-1-11-11-11111-1-1111111-1-1-1-11-111-1-1-1-111-1-1-111-11-11-11-1
χ1411111111111111-11-1-1-1111111-1-11-11-1-1-111-1-1-111-1-11-11-111-1-11111-1-1-1-111111-111-1-1-111-1-1-1-111-1-11-11-11
χ1511111111111111-11-1-1-1111111-1-11-11-1-1-111-1-1-111-1-1-11-11-1-111-1-1-1-11111-1-1-1-11-111-1-11-1-11111-1-111-1-11-11
χ1611111111111111-11-1-1-1111111-1-11-11-1-1-111-1-1-111-1-1-11-11-1-1-1-111-1-1-1-1-1-111111-111-1-111-1-1111-1-11-111-11-1
χ17222222-2-222222222-222222-2-2-2-2-2-20022200-200-2-2-2-22-2-22220000-2-2000000000000000000-200002000000
χ18222222-2-222222222-222222-2-2-2-2-2-20022200-200-2-2-2-2-222-2-2-200002200000000000000000020000-2000000
χ19222222-2-2222222-222-2-2222-2-2-222-200-2-2-200200-2-22222-2-2220000-2-200000000000000000020000-2000000
χ20222222-2-2222222-222-2-2222-2-2-222-200-2-2-200200-2-222-2-222-2-2000022000000000000000000-200002000000
χ2122222-1222-12-12-12-1222-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-10000000022-1-1-1-12020-1-1-1-1-1-1000000
χ2222222-1222-12-12-12-1222-1-1-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2110000110000000022-1-1-1-1-20-20111111000000
χ2322222-1222-12-12-12-1222-1-1-12-1-1222-2-2-1-1-111-111-1-1-1-12222-1-10000-1-100000000-2-21111-20-20-11111-1000000
χ2422222-1222-12-12-12-1222-1-1-12-1-1222-2-2-1-1-111-111-1-1-1-1-2-2-2-21100001100000000-2-2111120201-1-1-1-11000000
χ2522222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-222-2111111-1-1-1-1112-22-2-1-10000-1-100000000-2211-1-120-201-1-1111000000
χ2622222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-222-2111111-1-1-1-111-22-221100001100000000-2211-1-1-2020-111-1-1-1000000
χ2722222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-22-22111-1-1111-1-1112-22-2-1-10000-1-1000000002-2-1-111-2020111-1-11000000
χ2822222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-22-22111-1-1111-1-111-22-2211000011000000002-2-1-11120-20-1-1-111-1000000
χ2922222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-200-1-1-1−i3i31−i3i311112-2-22-1-10000110000000000−i3i3−i3i300001−i3i3−i3i3-1000000
χ3022222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-200-1-1-1−i3i31−i3i31111-222-2110000-1-10000000000−i3i3−i3i30000-1i3−i3i3−i31000000
χ3122222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-200-1-1-1i3−i31i3−i311112-2-22-1-10000110000000000i3−i3i3−i300001i3−i3i3−i3-1000000
χ3222222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-200-1-1-1i3−i31i3−i31111-222-2110000-1-10000000000i3−i3i3−i30000-1−i3i3−i3i31000000
χ3322222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-200111−i3i3-1i3−i311-1-122-2-2-1-10000110000000000−i3i3i3−i30000-1i3−i3−i3i31000000
χ3422222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-200111−i3i3-1i3−i311-1-1-2-222110000-1-10000000000−i3i3i3−i300001−i3i3i3−i3-1000000
χ3522222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-200111i3−i3-1−i3i311-1-122-2-2-1-10000110000000000i3−i3−i3i30000-1−i3i3i3−i31000000
χ3622222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-200111i3−i3-1−i3i311-1-1-2-222110000-1-10000000000i3−i3−i3i300001i3−i3−i3i3-1000000
χ372222-1222-12-12-122-12-1-1-1-1-1-122-1-1-1222-1-122222-1-1-1-1000000222200-1-1-1-1-1-1-1-1-1-1-1-1-1-10202000000-1-10000
χ382222-1222-12-12-122-12-1-1-1-1-1-122-1-1-1222-1-122222-1-1-1-1000000-2-2-2-20011111111-1-1-1-1-1-10-20-2000000110000
χ392222-1222-12-12-122-12-1-1-1-1-1-122-1-1-1-2-22-1-1-2-22-2-2-1-1-1-1000000222200-1-1-1-1-1-1-1-11111110-20-2000000110000
χ402222-1222-12-12-122-12-1-1-1-1-1-122-1-1-1-2-22-1-1-2-22-2-2-1-1-1-1000000-2-2-2-200111111111111110202000000-1-10000
χ412222-1222-12-12-12-2-1-211-1-1-1-12211-12-2-211-2-2-222-1-11100000022-2-200-1-1-1-111111-111-1-1020-20000001-10000
χ422222-1222-12-12-12-2-1-211-1-1-1-12211-12-2-211-2-2-222-1-111000000-2-222001111-1-1-1-11-111-1-10-202000000-110000
χ432222-1222-12-12-12-2-1-211-1-1-1-12211-1-22-21122-2-2-2-1-11100000022-2-200-1-1-1-11111-11-1-1110-202000000-110000
χ442222-1222-12-12-12-2-1-211-1-1-1-12211-1-22-21122-2-2-2-1-111000000-2-222001111-1-1-1-1-11-1-111020-20000001-10000
χ454444-24-4-4-24-24-244-2-4-2-2-2-2-22-4-4222004-2-200-4002222000000000000000000000000000000000000000000
χ464444-24-4-4-24-24-24-4-2422-2-2-22-4-4-2-2200-4220040022-2-2000000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-244-211-2-2-2-2-2111100000000000000000000-2-211110000000000000000
χ484444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2-4-4-21122-22211110000000000000000000022-1-1-1-10000000000000000
χ494444-2-244-2-2-2-2-2-2-41-422111-2-2-222-24-42-1-1222-2-211-1-1000000000000000000002-2-1-1110000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422111-2-2-222-2-442-1-1-2-222211-1-100000000000000000000-2211-1-10000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-211−2i32i32−2i32i3-1-1-1-10000000000000000000000i3−i3i3−i30000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112i3−2i322i3−2i3-1-1-1-10000000000000000000000−i3i3−i3i30000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-41422111222-2-22002-1-1−2i32i3-22i3−2i3-1-1110000000000000000000000i3−i3−i3i30000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-41422111222-2-22002-1-12i3−2i3-2−2i32i3-1-1110000000000000000000000−i3i3i3−i30000000000000000
χ5544-4-4440044-4-4-4-4040004-4-4000000000000000000000000000022−220000002222−22−220000000000000000000000
χ5644-4-4440044-4-4-4-4040004-4-40000000000000000000000000000−2222000000−22−2222220000000000000000000000
χ5744-4-4-2400-242-42-40-20−2i32i3-222000000000−2i32i30000000000000000022−2200i6i6−i6−i6−2−2220000000000000000000000
χ5844-4-4-2400-242-42-40-20−2i32i3-222000000000−2i32i300000000000000000−222200−i6−i6i6i622−2−20000000000000000000000
χ5944-4-4-2400-242-42-40-202i3−2i3-2220000000002i3−2i30000000000000000022−2200−i6−i6i6i6−2−2220000000000000000000000
χ6044-4-4-2400-242-42-40-202i3−2i3-2220000000002i3−2i300000000000000000−222200i6i6−i6−i622−2−20000000000000000000000
χ614-44-4444-4-4-4-4-44404000-4-44-44-400400000000004-400000000000000000000000000000000000000000000
χ624-44-444-44-4-4-4-44404000-4-444-4400-40000000000-4400000000000000000000000000000000000000000000
χ634-44-44-24-4-42-424-20-200022-2-4-220040000000000-22000000−2i32i30000−2i32i3000000000000000000000000000000
χ644-44-44-24-4-42-424-20-200022-2-4-220040000000000-220000002i3−2i300002i3−2i3000000000000000000000000000000
χ654-44-44-2-44-42-424-20-200022-242-200-400000000002-2000000−2i32i300002i3−2i3000000000000000000000000000000
χ664-44-44-2-44-42-424-20-200022-242-200-400000000002-20000002i3−2i30000−2i32i3000000000000000000000000000000
χ674-44-4-244-42-42-4-240-200022-224-400-20000000000-2200000000000000−2i32i3−2i32i300000000000000000000000000
χ684-44-4-244-42-42-4-240-200022-224-400-20000000000-22000000000000002i3−2i32i3−2i300000000000000000000000000
χ694-44-4-24-442-42-4-240-200022-2-2-4400200000000002-200000000000000000023−2323−230000000000000000000000
χ704-44-4-24-442-42-4-240-200022-2-2-4400200000000002-2000000000000000000−2323−23230000000000000000000000
χ714-4-444400-4-444-4-404000-44-40000000000000000000000000022−22000022−22−222200000000000000000000000000
χ724-4-444400-4-444-4-404000-44-400000000000000000000000000−22220000−222222−2200000000000000000000000000
χ734-4-44-24002-4-242-40-20002-2200023−23000000000000023−2300000022−220000−222−26−6−660000000000000000000000
χ744-4-44-24002-4-242-40-20002-2200023−23000000000000023−23000000−222200002−2−22−666−60000000000000000000000
χ754-4-44-24002-4-242-40-20002-22000−23230000000000000−232300000022−220000−222−2−666−60000000000000000000000
χ764-4-44-24002-4-242-40-20002-22000−23230000000000000−2323000000−222200002−2−226−6−660000000000000000000000
χ7788-8-88-4008-4-84-840-4000-44400000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-44444020−4i34i32-2-20000000002i3−2i3000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444440204i3−4i32-2-2000000000−2i32i3000000000000000000000000000000000000000000000000000
χ808-88-8-4-48-84444-4-402000-2-224-4400-400000000002-200000000000000000000000000000000000000000000
χ818-88-8-4-4-884444-4-402000-2-22-44-40040000000000-2200000000000000000000000000000000000000000000
χ828-8-888-400-848-4-840-40004-4400000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-4-44402000-22-200043−430000000000000−2323000000000000000000000000000000000000000000
χ848-8-88-4-40044-4-44402000-22-2000−4343000000000000023−23000000000000000000000000000000000000000000

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