Finite Group Databasebeta

← Group #11878483

Character table — Group #11878483

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444488888888888888121212121212121212121212121212121212121216161616161624242424242424242424484872727272
order12223344666666234666661212121212122466666121212121212122244668888121224242424242424246661212122444612121212126124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111111111-1-11-1-1-1-1-1-111-1-1-1-1
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
χ51111111111111111111111111111-1-11-1-111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111
χ61111111111111111111111111111-1-11-1-111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-11111-1-1
χ71111111111111111111111111111-1-11-1-111-1-111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-111-1-111-111-1-111-1-1
χ81111111111111111111111111111-1-11-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-111
χ911111111111111-11-1-1-11111-1-11111-1-111-1-1-1-1-111-1-11-11-11111-1-1111111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-11-11-1
χ1011111111111111-11-1-1-11111-1-11111-1-111-1-1-1-1-111-1-11-11-111-1-11111-1-1-1-11111111-1-1-1-11-11-1-1-1-111-11-11-11
χ1111111111111111-11-1-1-11111-1-11111-1-111-1-1-1-1-111-1-1-11-11-1-111-1-1-1-11111-1-1-1-1111-1-1-11-11-11111-1-11-1-11-11
χ1211111111111111-11-1-1-11111-1-11111-1-111-1-1-1-1-111-1-1-11-11-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1111111-1-1-111-11-1
χ1311111111111111-11-1-1-11111-1-1111-11-1-1-1-1-111-111-1-11-11-11111-1-1111111-1-1-1-1-1-1-1111-1-111-111-1-1-1-11-111-1
χ1411111111111111-11-1-1-11111-1-1111-11-1-1-1-1-111-111-1-11-11-111-1-11111-1-1-1-11111-1-1-11111-11-1-111-1-1-11-11-1-11
χ1511111111111111-11-1-1-11111-1-1111-11-1-1-1-1-111-111-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-1-1-1111-11-111-1-1111-111-1-11
χ1611111111111111-11-1-1-11111-1-1111-11-1-1-1-1-111-111-1-1-11-11-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-11-1-11111-1-111-1
χ17222222-2-222222222-222222-2-2-2-2-2-2002002200-2-2-2-2-22-2-22220000-2-2000000000000000000-200200000000
χ18222222-2-222222222-222222-2-2-2-2-2-2002002200-2-2-2-2-2-222-2-2-2000022000000000000000000200-200000000
χ19222222-2-2222222-222-2-2222-222-2-2-200-200-2-2002-2-22222-2-2220000-2-2000000000000000000200-200000000
χ20222222-2-2222222-222-2-2222-222-2-2-200-200-2-2002-2-222-2-222-2-2000022000000000000000000-200200000000
χ2122222-1222-122-1-12-1222-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-10000-1-1000000002-1-12-1-10220-1-1-1-1-1-1000000
χ2222222-1222-122-1-12-1222-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211000011000000002-1-12-1-10-2-20111111000000
χ2322222-1222-122-1-12-1222-1-1-1222-1-12-2-2-111-1-111-1-1-1-1-12222-1-10000-1-100000000-211-2110-2-20-111-111000000
χ2422222-1222-122-1-12-1222-1-1-1222-1-12-2-2-111-1-111-1-1-1-1-1-2-2-2-21100001100000000-211-21102201-1-11-1-1000000
χ2522222-1222-122-1-1-2-1-2-2-2-1-1-12-2-2-1-122-21-1-111111-1-1112-22-2-1-10000-1-1000000002-1-1-21102-201111-1-1000000
χ2622222-1222-122-1-1-2-1-2-2-2-1-1-12-2-2-1-122-21-1-111111-1-111-22-2211000011000000002-1-1-2110-220-1-1-1-111000000
χ2722222-1222-122-1-1-2-1-2-2-2-1-1-12-2-2-1-12-2211111-1-11-1-1112-22-2-1-10000-1-100000000-2112-1-10-2201-1-1111000000
χ2822222-1222-122-1-1-2-1-2-2-2-1-1-12-2-2-1-12-2211111-1-11-1-111-22-221100001100000000-2112-1-102-20-111-1-1-1000000
χ2922222-1-2-22-122-1-12-1-222-1-1-1-2-2-211-200-1−i3i3-1-1−i3i3111112-2-22-1-1000011000000000−i3i30−i3i300001−i3i3-1−i3i3000000
χ3022222-1-2-22-122-1-12-1-222-1-1-1-2-2-211-200-1−i3i3-1-1−i3i311111-222-2110000-1-1000000000−i3i30−i3i30000-1i3−i31i3−i3000000
χ3122222-1-2-22-122-1-12-1-222-1-1-1-2-2-211-200-1i3−i3-1-1i3−i3111112-2-22-1-1000011000000000i3−i30i3−i300001i3−i3-1i3−i3000000
χ3222222-1-2-22-122-1-12-1-222-1-1-1-2-2-211-200-1i3−i3-1-1i3−i311111-222-2110000-1-1000000000i3−i30i3−i30000-1−i3i31−i3i3000000
χ3322222-1-2-22-122-1-1-2-12-2-2-1-1-1-22211-2001−i3i311i3−i3-111-1-122-2-2-1-1000011000000000−i3i30i3−i30000-1i3−i31−i3i3000000
χ3422222-1-2-22-122-1-1-2-12-2-2-1-1-1-22211-2001−i3i311i3−i3-111-1-1-2-222110000-1-1000000000−i3i30i3−i300001−i3i3-1i3−i3000000
χ3522222-1-2-22-122-1-1-2-12-2-2-1-1-1-22211-2001i3−i311−i3i3-111-1-122-2-2-1-1000011000000000i3−i30−i3i30000-1−i3i31i3−i3000000
χ3622222-1-2-22-122-1-1-2-12-2-2-1-1-1-22211-2001i3−i311−i3i3-111-1-1-2-222110000-1-1000000000i3−i30−i3i300001i3−i3-1−i3i3000000
χ372222-1222-12-1-1222-12-1-1-1-1-1-1-1-122-122222-1-1222-1-1-1-1000000222200-1-1-1-1-1-1-1-1-1-1-1-1-1-12002000000-1-10000
χ382222-1222-12-1-1222-12-1-1-1-1-1-1-1-122-122222-1-1222-1-1-1-1000000-2-2-2-20011111111-1-1-1-1-1-1-200-2000000110000
χ392222-1222-12-1-1222-12-1-1-1-1-1-1-1-122-1-2-22-2-2-1-1-2-22-1-1-1-1000000222200-1-1-1-1-1-1-1-1111111-200-2000000110000
χ402222-1222-12-1-1222-12-1-1-1-1-1-1-1-122-1-2-22-2-2-1-1-2-22-1-1-1-1000000-2-2-2-200111111111111112002000000-1-10000
χ412222-1222-12-1-122-2-1-211-1-1-1-11122-12-2-22211-2-2-2-1-11100000022-2-200-1-1-1-11111-1-1-1111200-2000000-110000
χ422222-1222-12-1-122-2-1-211-1-1-1-11122-12-2-22211-2-2-2-1-111000000-2-222001111-1-1-1-1-1-1-1111-20020000001-10000
χ432222-1222-12-1-122-2-1-211-1-1-1-11122-1-22-2-2-21122-2-1-11100000022-2-200-1-1-1-11111111-1-1-1-20020000001-10000
χ442222-1222-12-1-122-2-1-211-1-1-1-11122-1-22-2-2-21122-2-1-111000000-2-222001111-1-1-1-1111-1-1-1200-2000000-110000
χ454444-24-4-4-24-2-2444-2-4-2-2-2-2-2222-4-4200400-2-200-42222000000000000000000000000000000000000000000
χ464444-24-4-4-24-2-244-4-2422-2-2-22-2-2-4-4200-4002200422-2-2000000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-244-2-2-211-2-2-2111100000000000000000000-211-2110000000000000000
χ484444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2-4-4-2221122-21111000000000000000000002-1-12-1-10000000000000000
χ494444-2-244-2-2-2-2-2-2-41-422111-222-2-2-24-42-2-2-1-122211-1-100000000000000000000-2112-1-10000000000000000
χ504444-2-244-2-2-2-2-2-2-41-422111-222-2-2-2-44222-1-1-2-2211-1-1000000000000000000002-1-1-2110000000000000000
χ514444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2−2i32i311−2i32i32-1-1-1-1000000000000000000000i3−i30i3−i30000000000000000
χ524444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-22i3−2i3112i3−2i32-1-1-1-1000000000000000000000−i3i30−i3i30000000000000000
χ534444-2-2-4-4-2-2-2-2-2-2-414221112-2-2222002−2i32i3-1-12i3−2i3-2-1-111000000000000000000000i3−i30−i3i30000000000000000
χ544444-2-2-4-4-2-2-2-2-2-2-414221112-2-22220022i3−2i3-1-1−2i32i3-2-1-111000000000000000000000−i3i30i3−i30000000000000000
χ5544-4-4440044-4-4-4-4040004-4-40000000000000000000000000022−2200002222−22−2200000000000000000000000000
χ5644-4-4440044-4-4-4-4040004-4-400000000000000000000000000−22220000−22−22222200000000000000000000000000
χ5744-4-4-2400-2422-4-40-2000-222023−2300000000000000023−2300000022−220000−2−22266−6−60000000000000000000000
χ5844-4-4-2400-2422-4-40-2000-222023−2300000000000000023−23000000−2222000022−2−2−6−6660000000000000000000000
χ5944-4-4-2400-2422-4-40-2000-2220−2323000000000000000−232300000022−220000−2−222−6−6660000000000000000000000
χ6044-4-4-2400-2422-4-40-2000-2220−2323000000000000000−2323000000−2222000022−2−266−6−60000000000000000000000
χ614-44-44400-4-4-444-404000-44-4000000000000000000000000000022−2200000022−2222−220000000000000000000000
χ624-44-44400-4-4-444-404000-44-40000000000000000000000000000−2222000000−2222−22220000000000000000000000
χ634-44-4-24002-42-24-40-20−2i32i32-2200000000000−2i32i300000000000000022−2200i6−i6i6−i6−22−220000000000000000000000
χ644-44-4-24002-42-24-40-20−2i32i32-2200000000000−2i32i3000000000000000−222200−i6i6−i6i62−22−20000000000000000000000
χ654-44-4-24002-42-24-40-202i3−2i32-22000000000002i3−2i300000000000000022−2200−i6i6−i6i6−22−220000000000000000000000
χ664-44-4-24002-42-24-40-202i3−2i32-22000000000002i3−2i3000000000000000−222200i6−i6i6−i62−22−20000000000000000000000
χ674-4-44444-4-4-44-4-4404000-4-44-4004-4400000000004-400000000000000000000000000000000000000000000
χ684-4-4444-44-4-44-4-4404000-4-44400-44-40000000000-4400000000000000000000000000000000000000000000
χ694-4-444-24-4-424-42-20-200022-2-400-2240000000000-22000000−2i32i30000−2i32i3000000000000000000000000000000
χ704-4-444-24-4-424-42-20-200022-2-400-2240000000000-220000002i3−2i300002i3−2i3000000000000000000000000000000
χ714-4-444-2-44-424-42-20-200022-24002-2-400000000002-2000000−2i32i300002i3−2i3000000000000000000000000000000
χ724-4-444-2-44-424-42-20-200022-24002-2-400000000002-20000002i3−2i30000−2i32i3000000000000000000000000000000
χ734-4-44-244-42-4-22-440-200022-22004-4-20000000000-2200000000000000−2i32i32i3−2i300000000000000000000000000
χ744-4-44-244-42-4-22-440-200022-22004-4-20000000000-22000000000000002i3−2i3−2i32i300000000000000000000000000
χ754-4-44-24-442-4-22-440-200022-2-200-44200000000002-200000000000000000023−23−23230000000000000000000000
χ764-4-44-24-442-4-22-440-200022-2-200-44200000000002-2000000000000000000−232323−230000000000000000000000
χ7788-8-88-4008-4-8-8440-4000-44400000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-44444020002-2-2043−43000000000000000−2323000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-44444020002-2-20−434300000000000000023−23000000000000000000000000000000000000000000
χ808-88-88-400-84-88-440-40004-4400000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400444-4-44020−4i34i3-22-2000000000002i3−2i30000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-440204i3−4i3-22-200000000000−2i32i30000000000000000000000000000000000000000000000000
χ838-8-88-4-48-844-444-402000-2-22400-44-400000000002-200000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-402000-2-22-4004-440000000000-2200000000000000000000000000000000000000000000

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