Finite Group Databasebeta

← Group #11781448

Character table — Group #11781448

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order122233444466666634666121212121212121212128888121212121212122244882424242424242424412121212121212126688121224242424888826688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111
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
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-1
χ92222222-2-222222222-2222-2-2222-2-2-2-220000-2-2-2-2-22222-2-200000000000000000002200-2-20000000000000
χ102222222-2-222222222-2222-2-2222-2-2-2-220000-2-2-2-2-222-2-2220000000000000000000-2-200220000000000000
χ11222222-222-22222222-2222-2-2-2-2-22222-22222-222-2-2-2-20000-2-22222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-2222-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2000022-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200002-2-222-2-20000000000000000000000000000000002i2i−2i−2i00000
χ14222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200002-2-222-2-2000000000000000000000000000000000−2i−2i2i2i00000
χ1522222-122222-1-12-12-12-1-1-1-1-12-1-122-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-100
χ1622222-122222-1-12-12-12-1-1-1-1-12-1-122-1-1222222-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1-2-2-211111100000000000000-21100
χ1722222-122222-1-12-12-12-1-1-1-1-12-1-122-1-12-2-2-2-22-1-1-1-1-1-10000-2-211111111222-1-1-1-1-1-100000000000000-21100
χ1822222-122222-1-12-12-12-1-1-1-1-12-1-122-1-12-2-2-2-22-1-1-1-1-1-10000-2-211111111-2-2-2111111000000000000002-1-100
χ1922222-1-222-22-1-12-12-1-2-1-1-111-21122-1-1-22222-2-1-111110000-2-2-1-1-1-11111000−i3i3−i3−i3i3i3000000000000000−i3i300
χ2022222-1-222-22-1-12-12-1-2-1-1-111-21122-1-1-22222-2-1-111110000-2-2-1-1-1-11111000i3−i3i3i3−i3−i3000000000000000i3−i300
χ2122222-1-222-22-1-12-12-1-2-1-1-111-21122-1-1-2-2-2-2-2-2-1-111110000221111-1-1-1-1000−i3i3−i3−i3i3i3000000000000000i3−i300
χ2222222-1-222-22-1-12-12-1-2-1-1-111-21122-1-1-2-2-2-2-2-2-1-111110000221111-1-1-1-1000i3−i3i3i3−i3−i3000000000000000−i3i300
χ232222-122222-122-12-1-12-1-1-122-122-1-122-10000-1-1-1-1-1-1-1222200000000002-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000
χ242222-122222-122-12-1-12-1-1-122-122-1-122-10000-1-1-1-1-1-1-122220000000000-211-2-21111-1-1-2-2-1-11111000000000
χ252222-122222-122-12-1-12-1-1-122-122-1-122-10000-1-1-1-1-1-1-1-2-2-2-200000000002-1-122-1-1-1-111-2-2111111000000000
χ262222-122222-122-12-1-12-1-1-122-122-1-122-10000-1-1-1-1-1-1-1-2-2-2-20000000000-211-2-21111112211-1-1-1-1000000000
χ272222-122-2-22-122-12-1-1-2-1-1-1-2-2-12211-2-2-1000011111-1-122-2-200000000000−i3i300−i3i3−i3i3-1-10011−i3−i3i3i3000000000
χ282222-122-2-22-122-12-1-1-2-1-1-1-2-2-12211-2-2-1000011111-1-122-2-200000000000i3−i300i3−i3i3−i3-1-10011i3i3−i3−i3000000000
χ292222-122-2-22-122-12-1-1-2-1-1-1-2-2-12211-2-2-1000011111-1-1-2-22200000000000−i3i300−i3i3−i3i31100-1-1i3i3−i3−i3000000000
χ302222-122-2-22-122-12-1-1-2-1-1-1-2-2-12211-2-2-1000011111-1-1-2-22200000000000i3−i300i3−i3i3−i31100-1-1−i3−i3i3i3000000000
χ312-22-222200-2-2-2-222-220-2-220022-20000-222−2−2000002-2002i−2i2−222−2−222−2−200000000000002i−2i0000−i2i2−i2i200000
χ322-22-222200-2-2-2-222-220-2-220022-20000-222−2−2000002-200−2i2i2−222−2−222−2−20000000000000−2i2i0000i2−i2i2−i200000
χ332-22-222200-2-2-2-222-220-2-220022-20000-2−2−222000002-2002i−2i−22−2−222−2−22200000000000002i−2i0000i2−i2i2−i200000
χ342-22-222200-2-2-2-222-220-2-220022-20000-2−2−222000002-200−2i2i−22−2−222−2−2220000000000000−2i2i0000−i2i2−i2i200000
χ352-22-222-2002-2-2-222-220-2-2200-2-220000222−2−200000-222-200−2222−2−2−2−2220000000002-2000000002−2−2200000
χ362-22-222-2002-2-2-222-220-2-2200-2-220000222−2−200000-22-2200−2222−2−2−2−222000000000-2200000000−222−200000
χ372-22-222-2002-2-2-222-220-2-2200-2-2200002−2−22200000-222-2002−2−2−22222−2−20000000002-200000000−222−200000
χ382-22-222-2002-2-2-222-220-2-2200-2-2200002−2−22200000-22-22002−2−2−22222−2−2000000000-22000000002−2−2200000
χ392-2-222202-20-22-2-2-22202-2-2000002-22-202i−2i2i−2i02-200000000002i−2i2i−2i000000000000000−i2i200−i2i2−i2i200000002−2
χ402-2-222202-20-22-2-2-22202-2-2000002-22-202i−2i2i−2i02-200000000002i−2i2i−2i000000000000000i2−i200i2−i2i2−i20000000−22
χ412-2-222202-20-22-2-2-22202-2-2000002-22-20−2i2i−2i2i02-20000000000−2i2i−2i2i000000000000000−i2i200−i2i2−i2i20000000−22
χ422-2-222202-20-22-2-2-22202-2-2000002-22-20−2i2i−2i2i02-20000000000−2i2i−2i2i000000000000000i2−i200i2−i2i2−i200000002−2
χ4344444-24-4-444-2-24-24-2-4-2-2-2224-2-2-4-42240000-42222-2-2000000000000000000000000000000000000000000
χ4444444-2-4-4-4-44-2-24-24-24-2-2-2-2-2-422-4-422-40000422-2-222000000000000000000000000000000000000000000
χ454444-24-444-4-244-24-2-2-4-2-2-2-4-42-4-4-2-244200002-2-22222000000000000000000000000000000000000000000
χ464444-24-4-4-4-4-244-24-2-24-2-2-2442-4-422-4-420000-222-2-222000000000000000000000000000000000000000000
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
χ494444-2-24-4-44-2-2-2-2-2-21-411122-2-2-22222-200002-1-1-1-111000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-411122-2-2-22222-200002-1-1-1-1110000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-411122222-2-2-2-220000211-1-1-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-411122222-2-2-2-220000211-1-1-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-214111-2-2222222220000-2-1-111-1-100000000000000000003-3-330000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-214111-2-2222222220000-2-1-111-1-10000000000000000000-333-30000000000000000000
χ5544-4-44400004-44-4-4-440-44-40000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ5644-4-44400004-44-4-4-440-44-400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ5744-4-44-2000042-2-42-4-202-22−2i32i300000000−2i22i22i2−2i2000−2i32i300000000i2−i2−i2i26−66−60000000000000000000000000000
χ5844-4-44-2000042-2-42-4-202-22−2i32i3000000002i2−2i2−2i22i2000−2i32i300000000−i2i2i2−i2−66−660000000000000000000000000000
χ5944-4-44-2000042-2-42-4-202-222i3−2i300000000−2i22i22i2−2i20002i3−2i300000000i2−i2−i2i2−66−660000000000000000000000000000
χ6044-4-44-2000042-2-42-4-202-222i3−2i3000000002i2−2i2−2i22i20002i3−2i300000000−i2i2i2−i26−66−60000000000000000000000000000
χ614-44-44-2400-4-4224-2-4-2022-2004-220000-42222−22−2200000-22000022−22−2−222−2−2220000000000000000000000000000
χ624-44-44-2400-4-4224-2-4-2022-2004-220000-4−22−22222200000-220000−222222−2−222−2−20000000000000000000000000000
χ634-44-44-2-4004-4224-2-4-2022-200-42-2000042222−22−22000002-20000−2222−2−22222−2−20000000000000000000000000000
χ644-44-44-2-4004-4224-2-4-2022-200-42-200004−22−222222000002-2000022−2222−2−2−2−2220000000000000000000000000000
χ654-44-4-24400-42-4-4-242-2022-200-24-400002000000000-22004i−4i00000000000000000000000−2i2i0000000000000
χ664-44-4-24400-42-4-4-242-2022-200-24-400002000000000-2200−4i4i000000000000000000000002i−2i0000000000000
χ674-44-4-24-40042-4-4-242-2022-2002-440000-20000000002-24-4000000000000000000000-2200000000000000000
χ684-44-4-24-40042-4-4-242-2022-2002-440000-20000000002-2-440000000000000000000002-200000000000000000
χ694-4-44440-440-44-4-4-44404-4-400000-44-44000000-440000000000000000000000000000000000000000000000
χ704-4-444-204-40-4-22-424-20-222000004-4-2204i−4i4i−4i0-220000000000−2i2i−2i2i00000000000000000000000000000000
χ714-4-444-204-40-4-22-424-20-222000004-4-220−4i4i−4i4i0-2200000000002i−2i2i−2i00000000000000000000000000000000
χ724-4-444-20-440-4-22-424-20-22200000-442-20000002-20000000000000023−23−23230000000000000000000000000000
χ734-4-444-20-440-4-22-424-20-22200000-442-20000002-200000000000000−232323−230000000000000000000000000000
χ744-4-44-2404-4024-42-4-2-20-22200000-224-4000000-2200000000000000000000000000000−2i22i200i2−i2i2−i2000000000
χ754-4-44-2404-4024-42-4-2-20-22200000-224-4000000-22000000000000000000000000000002i2−2i200−i2i2−i2i2000000000
χ764-4-44-240-44024-42-4-2-20-222000002-2-440000002-20000000000000000000000000000000006−6−66000000000
χ774-4-44-240-44024-42-4-2-20-222000002-2-440000002-2000000000000000000000000000000000−666−6000000000
χ7888-8-8-480000-4-884-84-404-44000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40000-44-444420-22-2−4i34i30000000000000002i3−2i300000000000000000000000000000000000000000000
χ8088-8-8-4-40000-44-444420-22-24i3−4i3000000000000000−2i32i300000000000000000000000000000000000000000000
χ818-88-8-4-4800-8444-4-4420-2-2200-4-44000040000000002-2000000000000000000000000000000000000000000
χ828-88-8-4-4-8008444-4-4420-2-220044-40000-4000000000-22000000000000000000000000000000000000000000
χ838-8-88-4-408-804-4444-4202-2-200000-44-440000002-20000000000000000000000000000000000000000000000
χ848-8-88-4-40-8804-4444-4202-2-2000004-44-4000000-220000000000000000000000000000000000000000000000

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