Finite Group Databasebeta

← Group #11863586

Character table — Group #11863586

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444466888899121212121212121618242424242424363636487211244444668888991212121212121216182424242424243636364872
order124233662266121222224668864466122424288124224266662266121222224668864466122424288124
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-111-1111-1-11-1-1-1-1111111111111111111111-1-111-1111-1-11-1-1-1-1
χ311111111-1-1111111-1-1-1-1-111111-1-1-1111-1-11-111111111-1-1111111-1-1-1-1-111111-1-1-1111-1-11-1
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
χ5111-1111111-1-11111-1-111111-11-1-1-1111-111-1-1111-1111111-1-11111-1-111111-11-1-1-1111-111-1-1
χ6111-1111111-1-11111-1-1111-1-1-111-1-11-1-1-1-1-111111-1111111-1-11111-1-1111-1-1-111-1-11-1-1-1-1-111
χ7111-11111-1-1-1-1111111-1-1-111-11-111-111-1-1-1-11111-11111-1-1-1-1111111-1-1-111-11-111-111-1-1-1-11
χ8111-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1111-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1
χ922222222002222-2-200000002-2000000-2000022222222002222-2-200000002-2000000-20000
χ10222-2222200-2-222-2-20000000-2-200000020000222-2222200-2-222-2-20000000-2-200000020000
χ1122-2022220000-2-2-2-22-2000000202-20000000022-2022220000-2-2-2-22-2000000202-200000000
χ1222-2022220000-2-2-2-2-2200000020-220000000022-2022220000-2-2-2-2-2200000020-2200000000
χ1322-2022222200-2-22200-222000-2000-2000000022-2022222200-2-22200-222000-2000-20000000
χ1422-202222-2-200-2-222002-2-2000-20002000000022-202222-2-200-2-222002-2-2000-200020000000
χ152-20022-2-22-200002-20002-2i2−i2000000i2−i20i2−i2002-20022-2-22-200002-20002-2i2−i2000000i2−i20i2−i200
χ162-20022-2-22-200002-20002-2−i2i2000000−i2i20−i2i2002-20022-2-22-200002-20002-2−i2i2000000−i2i20−i2i200
χ172-20022-2-2-2200002-2000-22i2−i2000000i2−i20−i2i2002-20022-2-2-2200002-2000-22i2−i2000000i2−i20−i2i200
χ182-20022-2-2-2200002-2000-22−i2i2000000−i2i20i2−i2002-20022-2-2-2200002-2000-22−i2i2000000−i2i20i2−i200
χ1944441-2-2100-2-2-21000000022102000-1-1000-1044441-2-2100-2-2-21000000022102000-1-1000-10
χ2044441-2-2100-2-2-210000000-2-210-2000110001044441-2-2100-2-2-210000000-2-210-20001100010
χ214444-211-222111-200222-1-100-200-1-1-100000004444-211-222111-200222-1-100-200-1-1-10000000
χ224444-211-2-2-2111-200-2-2-21100-20011100000004444-211-2-2-2111-200-2-2-21100-2001110000000
χ23444-41-2-210022-21000000022-10-2000-1-100010444-41-2-210022-21000000022-10-2000-1-100010
χ24444-41-2-210022-210000000-2-2-10200011000-10444-41-2-210022-210000000-2-2-10200011000-10
χ25444-4-211-222-1-11-200-2-22-1-10020011-10000000444-4-211-222-1-11-200-2-22-1-10020011-10000000
χ26444-4-211-2-2-2-1-11-20022-21100200-1-110000000444-4-211-2-2-2-1-11-20022-21100200-1-110000000
χ2744-40-211-2223-3-12002-2-2-1-100000-111000000044-40-211-2223-3-12002-2-2-1-100000-1110000000
χ2844-40-211-222-33-1200-22-2-1-1000001-11000000044-40-211-222-33-1200-22-2-1-1000001-110000000
χ2944-40-211-2-2-23-3-1200-22211000001-1-1000000044-40-211-2-2-23-3-1200-22211000001-1-10000000
χ3044-40-211-2-2-2-33-12002-221100000-11-1000000044-40-211-2-2-2-33-12002-221100000-11-10000000
χ314-40044-4-4000000-44000000000000000000004-40044-4-4000000-4400000000000000000000
χ3288-802-4-4200004-2000000000000000000000088-802-4-4200004-20000000000000000000000
χ338-8002-44-200000000000002i2−2i2000000−i2i2000008-8002-44-200000000000002i2−2i2000000−i2i200000
χ348-8002-44-20000000000000−2i22i2000000i2−i2000008-8002-44-20000000000000−2i22i2000000i2−i200000
χ358-800-42-244-4000000000-220000000000000008-800-42-244-4000000000-22000000000000000
χ368-800-42-24-440000000002-20000000000000008-800-42-24-440000000002-2000000000000000
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
χ38111111111111111111111-1-111-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-11111
χ3911111111-1-1111111-1-1-1-1-111111-1-1-1111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-111-11
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
χ41111-1111111-1-11111-1-111111-11-1-1-1111-111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1111-1-1-11-1-111
χ42111-1111111-1-11111-1-1111-1-1-111-1-11-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-111111-1-1
χ43111-11111-1-1-1-1111111-1-1-111-11-111-111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-11-11-1-11-1-11111-1
χ44111-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-11
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
χ4722-2022220000-2-2-2-22-2000000202-200000000-2-220-2-2-2-200002222-22000000-20-2200000000
χ4822-2022220000-2-2-2-2-2200000020-2200000000-2-220-2-2-2-2000022222-2000000-202-200000000
χ4922-2022222200-2-22200-222000-2000-20000000-2-220-2-2-2-2-2-20022-2-2002-2-2000200020000000
χ5022-202222-2-200-2-222002-2-2000-200020000000-2-220-2-2-2-2220022-2-200-2220002000-20000000
χ512-20022-2-22-200002-20002-2i2−i2000000i2−i20i2−i200-2200-2-222-220000-22000-22−i2i2000000−i2i20−i2i200
χ522-20022-2-22-200002-20002-2−i2i2000000−i2i20−i2i200-2200-2-222-220000-22000-22i2−i2000000i2−i20i2−i200
χ532-20022-2-2-2200002-2000-22i2−i2000000i2−i20−i2i200-2200-2-2222-20000-220002-2−i2i2000000−i2i20i2−i200
χ542-20022-2-2-2200002-2000-22−i2i2000000−i2i20i2−i200-2200-2-2222-20000-220002-2i2−i2000000i2−i20−i2i200
χ5544441-2-2100-2-2-21000000022102000-1-1000-10-4-4-4-4-122-100222-10000000-2-2-10-20001100010
χ5644441-2-2100-2-2-210000000-2-210-20001100010-4-4-4-4-122-100222-1000000022-102000-1-1000-10
χ574444-211-222111-200222-1-100-200-1-1-10000000-4-4-4-42-1-12-2-2-1-1-1200-2-2-211002001110000000
χ584444-211-2-2-2111-200-2-2-21100-2001110000000-4-4-4-42-1-1222-1-1-1200222-1-100200-1-1-10000000
χ59444-41-2-210022-21000000022-10-2000-1-100010-4-4-44-122-100-2-22-10000000-2-210200011000-10
χ60444-41-2-210022-210000000-2-2-10200011000-10-4-4-44-122-100-2-22-100000002210-2000-1-100010
χ61444-4-211-222-1-11-200-2-22-1-10020011-10000000-4-4-442-1-12-2-211-120022-21100-200-1-110000000
χ62444-4-211-2-2-2-1-11-20022-21100200-1-110000000-4-4-442-1-122211-1200-2-22-1-100-20011-10000000
χ6344-40-211-2223-3-12002-2-2-1-100000-1110000000-4-4402-1-12-2-2-331-200-22211000001-1-10000000
χ6444-40-211-222-33-1200-22-2-1-1000001-110000000-4-4402-1-12-2-23-31-2002-221100000-11-10000000
χ6544-40-211-2-2-23-3-1200-22211000001-1-10000000-4-4402-1-1222-331-2002-2-2-1-100000-1110000000
χ6644-40-211-2-2-2-33-12002-221100000-11-10000000-4-4402-1-12223-31-200-22-2-1-1000001-110000000
χ674-40044-4-4000000-4400000000000000000000-4400-4-4440000004-400000000000000000000
χ6888-802-4-4200004-20000000000000000000000-8-880-244-20000-420000000000000000000000
χ698-8002-44-200000000000002i2−2i2000000−i2i200000-8800-24-420000000000000−2i22i2000000i2−i200000
χ708-8002-44-20000000000000−2i22i2000000i2−i200000-8800-24-4200000000000002i2−2i2000000−i2i200000
χ718-800-42-244-4000000000-22000000000000000-88004-22-4-440000000002-2000000000000000
χ728-800-42-24-440000000002-2000000000000000-88004-22-44-4000000000-22000000000000000

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