Finite Group Databasebeta

← Group #11781485

Character table — Group #11781485

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order12223344446666663466612121212121212121212888812121212121212444488242424242424242426666666688121212122424242488884121288
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
χ92222222-2-222222222-2222-2-2-2-2222-2-220000-222-2-2-2-222-2-200000000000000000000022-2-20000000000000
χ102222222-2-222222222-2222-2-2-2-2222-2-220000-222-2-2-2-2-2-222000000000000000000000-2-2220000000000000
χ11222222-222-22222222-222222-2-2-2-2-222-22222-2-2-222-2-20000-2-22222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-222222-2-2-2-2-222-2-2-2-2-2-2-2-222-2-2000022-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-222-2-2-2-2-2-200002-2-2-2-2220000000000000000000000000000000002i2i−2i−2i00000
χ14222222-2-2-2-222222222222-2-222-2-2-2-2-2-200002-2-2-2-222000000000000000000000000000000000−2i−2i2i2i00000
χ1522222-1222222-1-1-12-12-1-1-1-1-122-12222-10000-1-1-1-1-1-1-122220000000000222-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ1622222-1222222-1-1-12-12-1-1-1-1-122-12222-10000-1-1-1-1-1-1-122220000000000-2-2-2111111-2-2-1-1-1-11111000000000
χ1722222-1222222-1-1-12-12-1-1-1-1-122-12222-10000-1-1-1-1-1-1-1-2-2-2-20000000000222-1-1-1-1-1-1-2-211111111000000000
χ1822222-1222222-1-1-12-12-1-1-1-1-122-12222-10000-1-1-1-1-1-1-1-2-2-2-20000000000-2-2-2111111221111-1-1-1-1000000000
χ1922222-12-2-2222-1-1-12-1-2-1-1-111-2-2-122-2-2-100001-1-1111122-2-20000000000000−i3i3−i3−i3i3i300-1-111−i3−i3i3i3000000000
χ2022222-12-2-2222-1-1-12-1-2-1-1-111-2-2-122-2-2-100001-1-1111122-2-20000000000000i3−i3i3i3−i3−i300-1-111i3i3−i3−i3000000000
χ2122222-12-2-2222-1-1-12-1-2-1-1-111-2-2-122-2-2-100001-1-11111-2-2220000000000000−i3i3−i3−i3i3i30011-1-1i3i3−i3−i3000000000
χ2222222-12-2-2222-1-1-12-1-2-1-1-111-2-2-122-2-2-100001-1-11111-2-2220000000000000i3−i3i3i3−i3−i30011-1-1−i3−i3i3i3000000000
χ232222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000002-1-100
χ242222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-211-2-2111100000000000000-21100
χ252222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-12-2-2-2-22-1-1-1-1-1-10000-2-2111111112-1-122-1-1-1-100000000000000-21100
χ262222-122222-1-1222-1-12-1-1-122-1-12-1-1-1-12-2-2-2-22-1-1-1-1-1-10000-2-211111111-211-2-21111000000000000002-1-100
χ272222-12-222-2-1-1222-1-1-2-1-1-12211-211-1-1-22222-211-1-1110000-2-2-1-1-1-111110−i3i300−i3i3−i3i3000000000000000−i3i300
χ282222-12-222-2-1-1222-1-1-2-1-1-12211-211-1-1-22222-211-1-1110000-2-2-1-1-1-111110i3−i300i3−i3i3−i3000000000000000i3−i300
χ292222-12-222-2-1-1222-1-1-2-1-1-12211-211-1-1-2-2-2-2-2-211-1-1110000221111-1-1-1-10−i3i300−i3i3−i3i3000000000000000i3−i300
χ302222-12-222-2-1-1222-1-1-2-1-1-12211-211-1-1-2-2-2-2-2-211-1-1110000221111-1-1-1-10i3−i300i3−i3i3−i3000000000000000−i3i300
χ3122-2-2220-2202-22-2-2-2202-2-22-2000002-202i2i−2i−2i0002-2000000002i2i−2i−2i0000000000000−i2i20000−i2i2−i2i200000002−2
χ3222-2-2220-2202-22-2-2-2202-2-22-2000002-202i2i−2i−2i0002-2000000002i2i−2i−2i0000000000000i2−i20000i2−i2i2−i20000000−22
χ3322-2-2220-2202-22-2-2-2202-2-22-2000002-20−2i−2i2i2i0002-200000000−2i−2i2i2i0000000000000−i2i20000−i2i2−i2i20000000−22
χ3422-2-2220-2202-22-2-2-2202-2-22-2000002-20−2i−2i2i2i0002-200000000−2i−2i2i2i0000000000000i2−i20000i2−i2i2−i200000002−2
χ352-2-2222200-2-2-2-22-2220-22-2000022-200-22−22−202-200002i−2i002−22−22−222−2−2000000000002i−2i000000−i2i2−i2i200000
χ362-2-2222200-2-2-2-22-2220-22-2000022-200-22−22−202-20000−2i2i002−22−22−222−2−200000000000−2i2i000000i2−i2i2−i200000
χ372-2-2222200-2-2-2-22-2220-22-2000022-200-2−22−2202-200002i−2i00−22−22−22−2−222000000000002i−2i000000i2−i2i2−i200000
χ382-2-2222200-2-2-2-22-2220-22-2000022-200-2−22−2202-20000−2i2i00−22−22−22−2−22200000000000−2i2i000000−i2i2−i2i200000
χ392-2-2222-2002-2-2-22-2220-22-20000-2-220022−22−20-220000002-2−222−22−2−2−22200000000000002-200002−2−2200000
χ402-2-2222-2002-2-2-22-2220-22-20000-2-220022−22−20-22000000-22−222−22−2−2−2220000000000000-220000−222−200000
χ412-2-2222-2002-2-2-22-2220-22-20000-2-22002−22−220-220000002-22−2−22−2222−2−200000000000002-20000−222−200000
χ422-2-2222-2002-2-2-22-2220-22-20000-2-22002−22−220-22000000-222−2−22−2222−2−20000000000000-2200002−2−2200000
χ4344444-2-444-444-2-2-24-2-4-2-2-2-2-2-4-42-4-44420000222-2-222000000000000000000000000000000000000000000
χ4444444-2-4-4-4-444-2-2-24-24-2-2-222442-4-4-4-420000-22222-2-2000000000000000000000000000000000000000000
χ454444-244-4-44-2-2444-2-2-4-2-2-2-4-4224-2-22240000-4-2-22222000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-2-2444-2-24-2-2-2-4-4-2-2-42222-4000042222-2-2000000000000000000000000000000000000000000
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
χ494444-2-24-4-44-2-2-2-2-2-21-41112222-2-2-222-20000211-1-1-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-41112222-2-2-222-20000211-1-1-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-4111-2-222222-2-2200002-1-111-1-1000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-4111-2-222222-2-2200002-1-111-1-10000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000-2-1-1-1-11100000000000000000003-3-330000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000-2-1-1-1-1110000000000000000000-333-30000000000000000000
χ5544-4-44404-404-44-4-4-4404-4-4-4400000-4400000000-4400000000000000000000000000000000000000000000
χ5644-4-44-204-404-4-222-4-20-2222-200000-44000000002-200000000000000000000000000000006−6−66000000000
χ5744-4-44-204-404-4-222-4-20-2222-200000-44000000002-20000000000000000000000000000000−666−6000000000
χ5844-4-44-20-4404-4-222-4-20-222-22000004-400000000-220000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ5944-4-44-20-4404-4-222-4-20-222-22000004-400000000-2200000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ6044-4-4-2404-40-224-4-42-20-222-44000002-2000000002-200000000000023−2323−230000000000000000000000000000
χ6144-4-4-2404-40-224-4-42-20-222-44000002-2000000002-2000000000000−2323−23230000000000000000000000000000
χ6244-4-4-240-440-224-4-42-20-2224-400000-2204i4i−4i−4i000-2200000000−2i−2i2i2i00000000000000000000000000000000
χ6344-4-4-240-440-224-4-42-20-2224-400000-220−4i−4i4i4i000-22000000002i2i−2i−2i00000000000000000000000000000000
χ644-44-4440000-44-4-44-440-4-440000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ654-44-4440000-44-4-44-440-4-4400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ664-44-4-2400002-2-4-442-2022-200−2i32i3000000−2i22i22i2−2i200000−2i32i3000000i2−i2−i2i26−6−660000000000000000000000000000
χ674-44-4-2400002-2-4-442-2022-200−2i32i30000002i2−2i2−2i22i200000−2i32i3000000−i2i2i2−i2−666−60000000000000000000000000000
χ684-44-4-2400002-2-4-442-2022-2002i3−2i3000000−2i22i22i2−2i2000002i3−2i3000000i2−i2−i2i2−666−60000000000000000000000000000
χ694-44-4-2400002-2-4-442-2022-2002i3−2i30000002i2−2i2−2i22i2000002i3−2i3000000−i2i2i2−i26−6−660000000000000000000000000000
χ704-4-444-2400-4-4-42-224-202-220000-24-400200000-2200004i−4i00000000000000000000000−2i2i000000000000000
χ714-4-444-2400-4-4-42-224-202-220000-24-400200000-220000−4i4i000000000000000000000002i−2i000000000000000
χ724-4-444-2-4004-4-42-224-202-2200002-4400-2000002-20000004-400000000000000000000000-220000000000000
χ734-4-444-2-4004-4-42-224-202-2200002-4400-2000002-2000000-44000000000000000000000002-20000000000000
χ744-4-44-24400-422-44-4-2-202-2200004-2200-422−2222−220-220000000022−22−22−22−2−2220000000000000000000000000000
χ754-4-44-24400-422-44-4-2-202-2200004-2200-4−2222−22220-2200000000−22222−22−222−2−20000000000000000000000000000
χ764-4-44-24-400422-44-4-2-202-220000-42-200422−2222−2202-200000000−2222−22−2222−2−20000000000000000000000000000
χ774-4-44-24-400422-44-4-2-202-220000-42-2004−2222−222202-20000000022−222−22−2−2−2220000000000000000000000000000
χ7888-8-8-4-408-80-44-4444202-2-24-4000004-400000000-2200000000000000000000000000000000000000000000
χ7988-8-8-4-40-880-44-4444202-2-2-4400000-44000000002-200000000000000000000000000000000000000000000
χ808-88-88-40000-8844-4-8-4044-4000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400004-444-4420-2-2200−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000
χ828-88-8-4-400004-444-4420-2-22004i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000
χ838-8-88-4-4800-8444-44-420-22-20000-4-44004000002-20000000000000000000000000000000000000000000000
χ848-8-88-4-4-8008444-44-420-22-2000044-400-400000-220000000000000000000000000000000000000000000000

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