Finite Group Databasebeta

← Group #11863805

Character table — Group #11863805

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444466888899121212121212121618242424242424363636487211244444668888991212121212121216182424242424243636364872
order124233664466121222244881212644612122424288124224266664466121222244881212644612122424288124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-11111-1111-1-11-1-1-1-11111111111111111111-1-11111-1111-1-11-1-1-1-1
χ311111111-1-1111111-1-1-111-1-1111-1-1-1111-1-11-111111111-1-1111111-1-1-111-1-1111-1-1-1111-1-11-1
χ411111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-1111111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-11
χ5111-1111111-1-111111-1-11111-11-11-1-111-111-1-1111-1111111-1-111111-1-11111-11-11-1-111-111-1-1
χ6111-1111111-1-111111-1-1-1-111-1111-1-1-1-1-1-1-111111-1111111-1-111111-1-1-1-111-1111-1-1-1-1-1-1-111
χ7111-11111-1-1-1-11111-11111-1-1-11-1-11111-1-1-1-11111-11111-1-1-1-11111-11111-1-1-11-1-11111-1-1-1-11
χ8111-11111-1-1-1-11111-111-1-1-1-1-111-111-1-1-1111-1111-11111-1-1-1-11111-111-1-1-1-1-111-111-1-1-1111-1
χ922222222002222-2-200000002-2000000-2000022222222002222-2-200000002-2000000-20000
χ10222-2222200-2-222-2-20000000-2-200000020000222-2222200-2-222-2-20000000-2-200000020000
χ1122-2022220000-2-2-2-202-2000002002-2000000022-2022220000-2-2-2-202-2000002002-20000000
χ1222-2022220000-2-2-2-20-2200000200-22000000022-2022220000-2-2-2-20-2200000200-220000000
χ1322-2022222200-2-222-20000220-20-200000000022-2022222200-2-222-20000220-20-2000000000
χ1422-202222-2-200-2-22220000-2-20-20200000000022-202222-2-200-2-22220000-2-20-202000000000
χ152-20022-2-22i−2i0000-22000i2−i22i−2i000000i2−i202−2002-20022-2-22i−2i0000-22000i2−i22i−2i000000i2−i202−200
χ162-20022-2-22i−2i0000-22000−i2i22i−2i000000−i2i20−22002-20022-2-22i−2i0000-22000−i2i22i−2i000000−i2i20−2200
χ172-20022-2-2−2i2i0000-22000i2−i2−2i2i000000i2−i20−22002-20022-2-2−2i2i0000-22000i2−i2−2i2i000000i2−i20−2200
χ182-20022-2-2−2i2i0000-22000−i2i2−2i2i000000−i2i202−2002-20022-2-2−2i2i0000-22000−i2i2−2i2i000000−i2i202−200
χ1944441-21-200-2-2-21000002200102000-1-1000-1044441-21-200-2-2-21000002200102000-1-1000-10
χ2044441-21-200-2-2-2100000-2-20010-2000110001044441-21-200-2-2-2100000-2-20010-20001100010
χ214444-21-2122111-20022200-1-1-200-1-1-100000004444-21-2122111-20022200-1-1-200-1-1-10000000
χ224444-21-21-2-2111-200-2-2-20011-20011100000004444-21-21-2-2111-200-2-2-20011-2001110000000
χ23444-41-21-20022-21000002200-10-2000-1-100010444-41-21-20022-21000002200-10-2000-1-100010
χ24444-41-21-20022-2100000-2-200-10200011000-10444-41-21-20022-2100000-2-200-10200011000-10
χ25444-4-21-2122-1-11-2002-2-200-1-1200-1110000000444-4-21-2122-1-11-2002-2-200-1-1200-1110000000
χ26444-4-21-21-2-2-1-11-200-22200112001-1-10000000444-4-21-21-2-2-1-11-200-22200112001-1-10000000
χ2744-40-21-21223-3-1200-22-200-1-10001-11000000044-40-21-21223-3-1200-22-200-1-10001-110000000
χ2844-40-21-2122-33-1200-2-2200-1-100011-1000000044-40-21-2122-33-1200-2-2200-1-100011-10000000
χ2944-40-21-21-2-23-3-12002-220011000-11-1000000044-40-21-21-2-23-3-12002-220011000-11-10000000
χ3044-40-21-21-2-2-33-120022-20011000-1-11000000044-40-21-21-2-2-33-120022-20011000-1-110000000
χ314-40044-4-40000004-4000000000000000000004-40044-4-40000004-400000000000000000000
χ3288-802-42-400004-2000000000000000000000088-802-42-400004-20000000000000000000000
χ338-8002-4-24000000000002i2−2i200000000−i2i2000008-8002-4-24000000000002i2−2i200000000−i2i200000
χ348-8002-4-2400000000000−2i22i200000000i2−i2000008-8002-4-2400000000000−2i22i200000000i2−i200000
χ358-800-424-24i−4i00000000000−2i2i00000000000008-800-424-24i−4i00000000000−2i2i0000000000000
χ368-800-424-2−4i4i000000000002i−2i00000000000008-800-424-2−4i4i000000000002i−2i0000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111-1-11111-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-11111
χ3911111111-1-1111111-1-1-111-1-1111-1-1-1111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-1111-1-1-111-11
χ4011111111-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1111111-1-1-11-1
χ41111-1111111-1-111111-1-11111-11-11-1-111-111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-11-111-1-11-1-111
χ42111-1111111-1-111111-1-1-1-111-1111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1-1-1-11111-1-11-1-1-11111111-1-1
χ43111-11111-1-1-1-11111-11111-1-1-11-1-11111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-11-1-1-1-1111-111-1-1-1-11111-1
χ44111-11111-1-1-1-11111-111-1-1-1-1-111-111-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-11-1-111111-1-11-1-1111-1-1-11
χ4522222222002222-2-200000002-2000000-20000-2-2-2-2-2-2-2-200-2-2-2-2220000000-2200000020000
χ46222-2222200-2-222-2-20000000-2-200000020000-2-2-22-2-2-2-20022-2-222000000022000000-20000
χ4722-2022220000-2-2-2-202-2000002002-20000000-2-220-2-2-2-2000022220-2200000-200-220000000
χ4822-2022220000-2-2-2-20-2200000200-220000000-2-220-2-2-2-20000222202-200000-2002-20000000
χ4922-2022222200-2-222-20000220-20-2000000000-2-220-2-2-2-2-2-20022-2-220000-2-20202000000000
χ5022-202222-2-200-2-22220000-2-20-202000000000-2-220-2-2-2-2220022-2-2-2000022020-2000000000
χ512-20022-2-22i−2i0000-22000i2−i22i−2i000000i2−i202−200-2200-2-222−2i2i00002-2000−i2i2−2i2i000000−i2i20−2200
χ522-20022-2-22i−2i0000-22000−i2i22i−2i000000−i2i20−2200-2200-2-222−2i2i00002-2000i2−i2−2i2i000000i2−i202−200
χ532-20022-2-2−2i2i0000-22000i2−i2−2i2i000000i2−i20−2200-2200-2-2222i−2i00002-2000−i2i22i−2i000000−i2i202−200
χ542-20022-2-2−2i2i0000-22000−i2i2−2i2i000000−i2i202−200-2200-2-2222i−2i00002-2000i2−i22i−2i000000i2−i20−2200
χ5544441-21-200-2-2-21000002200102000-1-1000-10-4-4-4-4-12-1200222-100000-2-200-10-20001100010
χ5644441-21-200-2-2-2100000-2-20010-20001100010-4-4-4-4-12-1200222-1000002200-102000-1-1000-10
χ574444-21-2122111-20022200-1-1-200-1-1-10000000-4-4-4-42-12-1-2-2-1-1-1200-2-2-200112001110000000
χ584444-21-21-2-2111-200-2-2-20011-2001110000000-4-4-4-42-12-122-1-1-120022200-1-1200-1-1-10000000
χ59444-41-21-20022-21000002200-10-2000-1-100010-4-4-44-12-1200-2-22-100000-2-20010200011000-10
χ60444-41-21-20022-2100000-2-200-10200011000-10-4-4-44-12-1200-2-22-100000220010-2000-1-100010
χ61444-4-21-2122-1-11-2002-2-200-1-1200-1110000000-4-4-442-12-1-2-211-1200-2220011-2001-1-10000000
χ62444-4-21-21-2-2-1-11-200-22200112001-1-10000000-4-4-442-12-12211-12002-2-200-1-1-200-1110000000
χ6344-40-21-21223-3-1200-22-200-1-10001-110000000-4-4402-12-1-2-2-331-2002-220011000-11-10000000
χ6444-40-21-2122-33-1200-2-2200-1-100011-10000000-4-4402-12-1-2-23-31-20022-20011000-1-110000000
χ6544-40-21-21-2-23-3-12002-220011000-11-10000000-4-4402-12-122-331-200-22-200-1-10001-110000000
χ6644-40-21-21-2-2-33-120022-20011000-1-110000000-4-4402-12-1223-31-200-2-2200-1-100011-10000000
χ674-40044-4-40000004-400000000000000000000-4400-4-444000000-4400000000000000000000
χ6888-802-42-400004-20000000000000000000000-8-880-24-240000-420000000000000000000000
χ698-8002-4-24000000000002i2−2i200000000−i2i200000-8800-242-400000000000−2i22i200000000i2−i200000
χ708-8002-4-2400000000000−2i22i200000000i2−i200000-8800-242-4000000000002i2−2i200000000−i2i200000
χ718-800-424-24i−4i00000000000−2i2i0000000000000-88004-2-42−4i4i000000000002i−2i0000000000000
χ728-800-424-2−4i4i000000000002i−2i0000000000000-88004-2-424i−4i00000000000−2i2i0000000000000

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