Finite Group Databasebeta

← Group #11781484

Character table — Group #11781484

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order12223344446666663466612121212121212121212888812121212121212888888242424242424242426666666688242424242424242444444121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111
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
χ92222222-2-222222222-22222-2-2-222-2-22-20000-222-2-2-2-200000000000000000000000000000000022-2-200000
χ102222222-2-222222222-22222-2-2-222-2-22-20000-222-2-2-2-2000000000000000000000000000000000-2-22200000
χ11222222-222-22222222-2222-22-2-2-2-222-222222-2-2-222-2-2-2-200002222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-2222-22-2-2-2-222-22-2-2-2-2-2-2-222-2-2220000-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-222-2-2-2-2-2-200002-2-2-2-222002i2i−2i−2i00000000000000000002i2i−2i−2i0000000000000
χ14222222-2-2-2-222222222222-2-222-2-2-2-2-2-200002-2-2-2-22200−2i−2i2i2i0000000000000000000−2i−2i2i2i0000000000000
χ1522222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-100
χ1622222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1-2-2-211111100000000000000-21100
χ1722222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111222-1-1-1-1-1-100000000000000-21100
χ1822222-12222222-1-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111-2-2-2111111000000000000002-1-100
χ1922222-1-222-2222-1-1-1-1-2-1-1-1-221111-1-1-222222-211-1-111-2-20000-1-1-1-11111000−i3i3−i3−i3i3i3000000000000000−i3i300
χ2022222-1-222-2222-1-1-1-1-2-1-1-1-221111-1-1-222222-211-1-111-2-20000-1-1-1-11111000i3−i3i3i3−i3−i3000000000000000i3−i300
χ2122222-1-222-2222-1-1-1-1-2-1-1-1-221111-1-1-22-2-2-2-2-211-1-1112200001111-1-1-1-1000−i3i3−i3−i3i3i3000000000000000i3−i300
χ2222222-1-222-2222-1-1-1-1-2-1-1-1-221111-1-1-22-2-2-2-2-211-1-1112200001111-1-1-1-1000i3−i3i3i3−i3−i3000000000000000−i3i300
χ232222-122222-1-1-1222-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-1002222000000002-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ242222-122222-1-1-1222-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-100222200000000-211-2-21111-2-2-1-1-1-11111000000000
χ252222-122222-1-1-1222-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-100-2-2-2-2000000002-1-122-1-1-1-1-2-211111111000000000
χ262222-122222-1-1-1222-12-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-100-2-2-2-200000000-211-2-21111221111-1-1-1-1000000000
χ272222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-2110000-11111-1-1002i2i−2i−2i000000000−i3i300−i3i3−i3i300−i−iii33−3−3000000000
χ282222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-2110000-11111-1-1002i2i−2i−2i000000000i3−i300i3−i3i3−i300−i−iii−3−333000000000
χ292222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-2110000-11111-1-100−2i−2i2i2i000000000−i3i300−i3i3−i3i300ii−i−i−3−333000000000
χ302222-12-2-2-2-2-1-1-1222-12-1-1-11122-2-2-2-2110000-11111-1-100−2i−2i2i2i000000000i3−i300i3−i3i3−i300ii−i−i33−3−3000000000
χ3122-2-2220-2202-2-22-2-2202-2-20-200002-2022i2i−2i−2i0002-2000000002i2i−2i−2i00000000000002−200002−22−20000000−i2i2
χ3222-2-2220-2202-2-22-2-2202-2-20-200002-2022i2i−2i−2i0002-2000000002i2i−2i−2i0000000000000−220000−22−220000000i2−i2
χ3322-2-2220-2202-2-22-2-2202-2-20-200002-202−2i−2i2i2i0002-200000000−2i−2i2i2i00000000000002−200002−22−20000000i2−i2
χ3422-2-2220-2202-2-22-2-2202-2-20-200002-202−2i−2i2i2i0002-200000000−2i−2i2i2i0000000000000−220000−22−220000000−i2i2
χ352-2-2222200-2-22-2-2-2220-22-220002-200-202−22−202-200002−2−i2i2−i2i22−22−222−2−200000000000−i2i2−i2i200002i−2i0000000
χ362-2-2222200-2-22-2-2-2220-22-220002-200-202−22−202-200002−2i2−i2i2−i22−22−222−2−200000000000i2−i2i2−i20000−2i2i0000000
χ372-2-2222200-2-22-2-2-2220-22-220002-200-20−22−2202-20000−22−i2i2−i2i2−22−22−2−22200000000000−i2i2−i2i20000−2i2i0000000
χ382-2-2222200-2-22-2-2-2220-22-220002-200-20−22−2202-20000−22i2−i2i2−i2−22−22−2−22200000000000i2−i2i2−i200002i−2i0000000
χ392-2-2222-2002-22-2-2-2220-22-2-2000-2200202−22−20-220000−222−2−222−22−2−2−222000000000002−2−220000002-200000
χ402-2-2222-2002-22-2-2-2220-22-2-2000-2200202−22−20-220000−22−222−22−22−2−2−22200000000000−222−2000000-2200000
χ412-2-2222-2002-22-2-2-2220-22-2-2000-220020−22−220-2200002−22−2−22−22−2222−2−2000000000002−2−22000000-2200000
χ422-2-2222-2002-22-2-2-2220-22-2-2000-220020−22−220-2200002−2−222−2−22−2222−2−200000000000−222−20000002-200000
χ4344444-24-4-44444-2-2-2-2-4-2-2-24-422-2-2224-40000-4-2-22222000000000000000000000000000000000000000000
χ4444444-2-4-4-4-4444-2-2-2-24-2-2-2-4-4-2-22222-4-4000042222-2-2000000000000000000000000000000000000000000
χ454444-244-4-44-2-2-2444-2-4-2-2-2-22-4-444-4-4-2200002-2-22222000000000000000000000000000000000000000000
χ464444-24-444-4-2-2-2444-2-4-2-2-22-2-4-4-4-4442-20000222-2-222000000000000000000000000000000000000000000
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
χ494444-2-24-4-44-2-2-2-2-2-21-4111-2222-2-222-220000211-1-1-1-100000000000000000003-3-330000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-4111-2222-2-222-220000211-1-1-1-10000000000000000000-333-30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-41112-22222-2-22-200002-1-111-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-41112-22222-2-22-200002-1-111-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000-2-1-1-1-111000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000-2-1-1-1-1110000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ5544-4-44404-404-4-44-4-4404-4-4040000-440-40000000-4400000000000000000000000000000000000000000000
χ5644-4-44-204-404-4-4-222-20-2220400002-20-400000002-200000000000023−2323−230000000000000000000000000000
χ5744-4-44-204-404-4-4-222-20-2220400002-20-400000002-2000000000000−2323−23230000000000000000000000000000
χ5844-4-44-20-4404-4-4-222-20-2220-40000-22044i4i−4i−4i000-2200000000−2i−2i2i2i00000000000000000000000000000000
χ5944-4-44-20-4404-4-4-222-20-2220-40000-2204−4i−4i4i4i000-22000000002i2i−2i−2i00000000000000000000000000000000
χ6044-4-4-2404-40-2224-4-4-20-2220-20000-440200000002-200000000000000000000000000000006−6−66000000000
χ6144-4-4-2404-40-2224-4-4-20-2220-20000-440200000002-20000000000000000000000000000000−666−6000000000
χ6244-4-4-240-440-2224-4-4-20-2220200004-40-20000000-22000000000000000000000000022−220000−22−22000000000
χ6344-4-4-240-440-2224-4-4-20-2220200004-40-20000000-220000000000000000000000000−222200002−22−2000000000
χ644-44-4440000-4-44-44-440-4-440000000000−2i22i22i2−2i20000000000000−2i22i22i2−2i200000000000000000000000000000000
χ654-44-4440000-4-44-44-440-4-4400000000002i2−2i2−2i22i200000000000002i2−2i2−2i22i200000000000000000000000000000000
χ664-44-44-20000-4-442-22-2022-200−2i32i3000000−2i22i22i2−2i200000−2i32i3000000i2−i2−i2i26−6−660000000000000000000000000000
χ674-44-44-20000-4-442-22-2022-200−2i32i30000002i2−2i2−2i22i200000−2i32i3000000−i2i2i2−i2−666−60000000000000000000000000000
χ684-44-44-20000-4-442-22-2022-2002i3−2i3000000−2i22i22i2−2i2000002i3−2i3000000i2−i2−i2i2−666−60000000000000000000000000000
χ694-44-44-20000-4-442-22-2022-2002i3−2i30000002i2−2i2−2i22i2000002i3−2i3000000−i2i2i2−i26−6−660000000000000000000000000000
χ704-4-444-2400-4-44-422-2-202-224000-2200-4022−2222−220-22000022−220000−22−22−2−2220000000000000000000000000000
χ714-4-444-2400-4-44-422-2-202-224000-2200-40−2222−22220-220000−222200002−22−222−2−20000000000000000000000000000
χ724-4-444-2-4004-44-422-2-202-22-40002-2004022−2222−2202-20000−22220000−22−2222−2−20000000000000000000000000000
χ734-4-444-2-4004-44-422-2-202-22-40002-20040−2222−222202-2000022−2200002−22−2−2−2220000000000000000000000000000
χ744-4-44-24400-42-22-4-44-202-22-20004-4002000000-22000000−2i22i2−2i22i20000000000000000000i2−i2i2−i20000000000000
χ754-4-44-24400-42-22-4-44-202-22-20004-4002000000-220000002i2−2i22i2−2i20000000000000000000−i2i2−i2i20000000000000
χ764-4-44-24-40042-22-4-44-202-222000-4400-20000002-200000022−22−22220000000000000000000−222−20000000000000
χ774-4-44-24-40042-22-4-44-202-222000-4400-20000002-2000000−222222−2200000000000000000002−2−220000000000000
χ7888-8-8-4-408-80-444-444202-2-20-400004-4040000000-2200000000000000000000000000000000000000000000
χ7988-8-8-4-40-880-444-444202-2-2040000-440-400000002-200000000000000000000000000000000000000000000
χ808-88-8-48000044-4-88-8-4044-4000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4000044-44-4420-2-2200−4i34i30000000000000002i3−2i3000000000000000000000000000000000000000000
χ828-88-8-4-4000044-44-4420-2-22004i3−4i3000000000000000−2i32i3000000000000000000000000000000000000000000
χ838-8-88-4-4800-84-4444-420-22-2-4000-440040000002-20000000000000000000000000000000000000000000000
χ848-8-88-4-4-80084-4444-420-22-240004-400-4000000-220000000000000000000000000000000000000000000000

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