Finite Group Databasebeta

← Group #11781494

Character table — Group #11781494

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order12223344446666663466612121212121212121212888812121212121212444488242424242424242441212121212121212881212121224242424888826688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111
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
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1
χ92222222-2-222222222-2222-2-2-2-2222-2-220000-2-2-2-2-22222-2-200000000000000000000022-2-20000000000000
χ102222222-2-222222222-2222-2-2-2-2222-2-220000-2-2-2-2-222-2-222000000000000000000000-2-2220000000000000
χ11222222-222-22222222-222222-2-2-2-2-222-22222-222-2-2-2-20000-2-22222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-222222-2-2-2-2-222-2-2-2-2-2-222-2-2-2-2000022-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-222-2-2-2-2-2-200002-2-222-2-20000000000000000000000000000000002i2i−2i−2i00000
χ14222222-2-2-2-222222222222-2-222-2-2-2-2-2-200002-2-222-2-2000000000000000000000000000000000−2i−2i2i2i00000
χ1522222-122222-1-1-122-12-1-1-122-1-1-1-12-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000002-1-100
χ1622222-122222-1-1-122-12-1-1-122-1-1-1-12-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-211-2-2111100000000000000-21100
χ1722222-122222-1-1-122-12-1-1-122-1-1-1-12-1-12-2-2-2-22-1-1-1-1-1-10000-2-2111111112-1-122-1-1-1-100000000000000-21100
χ1822222-122222-1-1-122-12-1-1-122-1-1-1-12-1-12-2-2-2-22-1-1-1-1-1-10000-2-211111111-211-2-21111000000000000002-1-100
χ1922222-1-222-22-1-1-122-1-2-1-1-1221111-2-1-1-22222-2-1-111110000-2-2-1-1-1-111110−i3i300−i3−i3i3i3000000000000000−i3i300
χ2022222-1-222-22-1-1-122-1-2-1-1-1221111-2-1-1-22222-2-1-111110000-2-2-1-1-1-111110i3−i300i3i3−i3−i3000000000000000i3−i300
χ2122222-1-222-22-1-1-122-1-2-1-1-1221111-2-1-1-2-2-2-2-2-2-1-111110000221111-1-1-1-10−i3i300−i3−i3i3i3000000000000000i3−i300
χ2222222-1-222-22-1-1-122-1-2-1-1-1221111-2-1-1-2-2-2-2-2-2-1-111110000221111-1-1-1-10i3−i300i3i3−i3−i3000000000000000−i3i300
χ232222-122222-1222-1-1-12-1-1-1-1-12222-122-10000-1-1-1-1-1-1-122220000000000222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ242222-122222-1222-1-1-12-1-1-1-1-12222-122-10000-1-1-1-1-1-1-122220000000000-2-2-2111111-2-2-1-1-1-11111000000000
χ252222-122222-1222-1-1-12-1-1-1-1-12222-122-10000-1-1-1-1-1-1-1-2-2-2-20000000000222-1-1-1-1-1-1-2-211111111000000000
χ262222-122222-1222-1-1-12-1-1-1-1-12222-122-10000-1-1-1-1-1-1-1-2-2-2-20000000000-2-2-2111111221111-1-1-1-1000000000
χ272222-122-2-22-1222-1-1-1-2-1-1-111-2-222-1-2-2-1000011111-1-122-2-20000000000000−i3i3−i3i3−i3i300-1-111−i3−i3i3i3000000000
χ282222-122-2-22-1222-1-1-1-2-1-1-111-2-222-1-2-2-1000011111-1-122-2-20000000000000i3−i3i3−i3i3−i300-1-111i3i3−i3−i3000000000
χ292222-122-2-22-1222-1-1-1-2-1-1-111-2-222-1-2-2-1000011111-1-1-2-2220000000000000−i3i3−i3i3−i3i30011-1-1i3i3−i3−i3000000000
χ302222-122-2-22-1222-1-1-1-2-1-1-111-2-222-1-2-2-1000011111-1-1-2-2220000000000000i3−i3i3−i3i3−i30011-1-1−i3−i3i3i3000000000
χ3122-2-2220-22022-2-2-2-2202-2-22-2000002-202i2i−2i−2i02-200000000002i2i−2i−2i00000000000002−200002−22−20000000−i2i2
χ3222-2-2220-22022-2-2-2-2202-2-22-2000002-202i2i−2i−2i02-200000000002i2i−2i−2i0000000000000−220000−22−220000000i2−i2
χ3322-2-2220-22022-2-2-2-2202-2-22-2000002-20−2i−2i2i2i02-20000000000−2i−2i2i2i00000000000002−200002−22−20000000i2−i2
χ3422-2-2220-22022-2-2-2-2202-2-22-2000002-20−2i−2i2i2i02-20000000000−2i−2i2i2i0000000000000−220000−22−220000000−i2i2
χ352-2-2222200-2-2-2-22-2220-2-2200002-2200-22−22−2000002-22i−2i002−22−22−222−2−2000000000002i−2i000000−i2i2−i2i200000
χ362-2-2222200-2-2-2-22-2220-2-2200002-2200-22−22−2000002-2−2i2i002−22−22−222−2−200000000000−2i2i000000i2−i2i2−i200000
χ372-2-2222200-2-2-2-22-2220-2-2200002-2200-2−22−22000002-22i−2i00−22−22−22−2−222000000000002i−2i000000i2−i2i2−i200000
χ382-2-2222200-2-2-2-22-2220-2-2200002-2200-2−22−22000002-2−2i2i00−22−22−22−2−22200000000000−2i2i000000−i2i2−i2i200000
χ392-2-2222-2002-2-2-22-2220-2-220000-22-20022−22−200000-22002-2−222−22−2−2−22200000000000002-200002−2−2200000
χ402-2-2222-2002-2-2-22-2220-2-220000-22-20022−22−200000-2200-22−222−22−2−2−2220000000000000-220000−222−200000
χ412-2-2222-2002-2-2-22-2220-2-220000-22-2002−22−2200000-22002-22−2−22−2222−2−200000000000002-20000−222−200000
χ422-2-2222-2002-2-2-22-2220-2-220000-22-2002−22−2200000-2200-222−2−22−2222−2−20000000000000-2200002−2−2200000
χ4344444-24-4-444-2-2-244-2-4-2-2-2-4-422-2-242240000-42222-2-2000000000000000000000000000000000000000000
χ4444444-2-4-4-4-44-2-2-244-24-2-2-2-4-4-2-222-422-40000422-2-222000000000000000000000000000000000000000000
χ454444-24-444-4-2444-2-2-2-4-2-2-2-2-2-4-4-4-4244200002-2-22222000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-2444-2-2-24-2-2-22244-4-42-4-420000-222-2-222000000000000000000000000000000000000000000
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
χ494444-2-24-4-44-2-2-2-2-2-21-41112222-2-2-222-200002-1-1-1-11100000000000000000−2i32i3i3−i3i3−i30000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-41112222-2-2-222-200002-1-1-1-111000000000000000002i3−2i3−i3i3−i3i30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-4111-2-222222-2-220000211-1-1-1-1000000000000000−2i32i300i3i3−i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-4111-2-222222-2-220000211-1-1-1-10000000000000002i3−2i300−i3−i3i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000-2-1-111-1-100000000000000000003-3-330000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000-2-1-111-1-10000000000000000000-333-30000000000000000000
χ5544-4-44404-4044-4-4-4-4404-4-4-4400000-44000000-440000000000000000000000000000000000000000000000
χ5644-4-44-204-404-222-4-4-20-222-44000002-20000002-20000000000000023−2323−230000000000000000000000000000
χ5744-4-44-204-404-222-4-4-20-222-44000002-20000002-200000000000000−2323−23230000000000000000000000000000
χ5844-4-44-20-4404-222-4-4-20-2224-400000-2204i4i−4i−4i0-220000000000−2i−2i2i2i00000000000000000000000000000000
χ5944-4-44-20-4404-222-4-4-20-2224-400000-220−4i−4i4i4i0-2200000000002i2i−2i−2i00000000000000000000000000000000
χ6044-4-4-2404-40-24-4-422-20-2222-200000-440000002-2000000000000000000000000000000000i6−i6−i6i6000000000
χ6144-4-4-2404-40-24-4-422-20-2222-200000-440000002-2000000000000000000000000000000000−i6i6i6−i6000000000
χ6244-4-4-240-440-24-4-422-20-222-22000004-4000000-2200000000000000000000000000022−220000−22−22000000000
χ6344-4-4-240-440-24-4-422-20-222-22000004-4000000-22000000000000000000000000000−222200002−22−2000000000
χ644-44-4440000-4-44-44-440-44-40000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ654-44-4440000-4-44-44-440-44-400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ664-44-44-20000-42-224-4-202-2200−2i32i3000000−2i22i22i2−2i2000−2i32i300000000i2−i2−i2i26−6−660000000000000000000000000000
χ674-44-44-20000-42-224-4-202-2200−2i32i30000002i2−2i2−2i22i2000−2i32i300000000−i2i2i2−i2−666−60000000000000000000000000000
χ684-44-44-20000-42-224-4-202-22002i3−2i3000000−2i22i22i2−2i20002i3−2i300000000i2−i2−i2i2−666−60000000000000000000000000000
χ694-44-44-20000-42-224-4-202-22002i3−2i30000002i2−2i2−2i22i20002i3−2i300000000−i2i2i2−i26−6−660000000000000000000000000000
χ704-4-444-2400-4-422-2-44-2022-20000-22400-422−2222−2200000-22000022−22−22−22−2−2220000000000000000000000000000
χ714-4-444-2400-4-422-2-44-2022-20000-22400-4−2222−222200000-220000−22222−22−222−2−20000000000000000000000000000
χ724-4-444-2-4004-422-2-44-2022-200002-2-400422−2222−22000002-20000−2222−22−2222−2−20000000000000000000000000000
χ734-4-444-2-4004-422-2-44-2022-200002-2-4004−2222−2222000002-2000022−222−22−2−2−2220000000000000000000000000000
χ744-4-44-24400-42-4-442-2-2022-200004-4-2002000000000-224i−4i00000000000000000000000−2i2i000000000000000
χ754-4-44-24400-42-4-442-2-2022-200004-4-2002000000000-22−4i4i000000000000000000000002i−2i000000000000000
χ764-4-44-24-40042-4-442-2-2022-20000-44200-20000000002-2004-400000000000000000000000-220000000000000
χ774-4-44-24-40042-4-442-2-2022-20000-44200-20000000002-200-44000000000000000000000002-20000000000000
χ7888-8-8-4-408-80-4-44444202-2-24-4000004-4000000-220000000000000000000000000000000000000000000000
χ7988-8-8-4-40-880-4-44444202-2-2-4400000-440000002-20000000000000000000000000000000000000000000000
χ808-88-8-4800004-88-8-44-404-44000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4000044-44-4420-22-200−4i34i300000000000002i3−2i300000000000000000000000000000000000000000000
χ828-88-8-4-4000044-44-4420-22-2004i3−4i30000000000000−2i32i300000000000000000000000000000000000000000000
χ838-8-88-4-4800-8444-44-420-2-220000-44-40040000000002-2000000000000000000000000000000000000000000
χ848-8-88-4-4-8008444-44-420-2-2200004-4400-4000000000-22000000000000000000000000000000000000000000

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