Finite Group Databasebeta

← Group #11863632

Character table — Group #11863632

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1124444466888899121212121212121618242424242424363636487211244444668888991212121212121216182424242424243636364872
order12433466221212121222444668812421212122424488642246646622121212122244466881242121212242448864
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
χ511111-111111-1-11111-1-11111-11-11-1-111-111-1-111111-111111-1-11111-1-11111-11-11-1-111-111-1-1
χ611111-111111-1-11111-1-111-1-1-1111-1-1-1-1-1-1-11111111-111111-1-11111-1-111-1-1-1111-1-1-1-1-1-1-111
χ711111-111-1-11-1-1111-111-1-111-11-1-11111-1-1-1-1111111-111-1-11-1-1111-111-1-111-11-1-11111-1-1-1-11
χ811111-111-1-11-1-1111-111-1-1-1-1-111-111-1-1-1111-111111-111-1-11-1-1111-111-1-1-1-1-111-111-1-1-1111-1
χ922222222002222-2-200000002-2000000-2000022222222002222-2-200000002-2000000-20000
χ1022222-222002-2-22-2-20000000-2-20000002000022222-222002-2-22-2-20000000-2-200000020000
χ1122-22202200-200-2-2-202-2000002002-2000000022-22202200-200-2-2-202-2000002002-20000000
χ1222-22202200-200-2-2-20-2200000200-22000000022-22202200-200-2-2-20-2200000200-220000000
χ1322-22202222-200-222-20022000-20-200000000022-22202222-200-222-20022000-20-2000000000
χ1422-222022-2-2-200-222200-2-2000-20200000000022-222022-2-2-200-222200-2-2000-202000000000
χ152-20220-2-22-20000-220002-2i2−i2000000i2−i20i2−i2002-20220-2-22-20000-220002-2i2−i2000000i2−i20i2−i200
χ162-20220-2-22-20000-220002-2−i2i2000000−i2i20−i2i2002-20220-2-22-20000-220002-2−i2i2000000−i2i20−i2i200
χ172-20220-2-2-220000-22000-22i2−i2000000i2−i20−i2i2002-20220-2-2-220000-22000-22i2−i2000000i2−i20−i2i200
χ182-20220-2-2-220000-22000-22−i2i2000000−i2i20i2−i2002-20220-2-2-220000-22000-22−i2i2000000−i2i20i2−i200
χ194441-24-2122111-200222-1-100-200-1-1-100000004441-24-2122111-200222-1-100-200-1-1-10000000
χ204441-24-21-2-2111-200-2-2-21100-20011100000004441-24-21-2-2111-200-2-2-21100-2001110000000
χ214441-2-4-21221-1-1-2002-2-2-1-100200-11100000004441-2-4-21221-1-1-2002-2-2-1-100200-1110000000
χ224441-2-4-21-2-21-1-1-200-22211002001-1-100000004441-2-4-21-2-21-1-1-200-22211002001-1-10000000
χ23444-2141-200-2-2-21000000022102000-1-1000-10444-2141-200-2-2-21000000022102000-1-1000-10
χ24444-2141-200-2-2-210000000-2-210-20001100010444-2141-200-2-2-210000000-2-210-20001100010
χ25444-21-41-200-2221000000022-10-2000-1-100010444-21-41-200-2221000000022-10-2000-1-100010
χ26444-21-41-200-22210000000-2-2-10200011000-10444-21-41-200-22210000000-2-2-10200011000-10
χ2744-41-20-2122-13-3200-22-2-1-1000001-11000000044-41-20-2122-13-3200-22-2-1-1000001-110000000
χ2844-41-20-2122-1-33200-2-22-1-10000011-1000000044-41-20-2122-1-33200-2-22-1-10000011-10000000
χ2944-41-20-21-2-2-13-32002-221100000-11-1000000044-41-20-21-2-2-13-32002-221100000-11-10000000
χ3044-41-20-21-2-2-1-3320022-21100000-1-11000000044-41-20-21-2-2-1-3320022-21100000-1-110000000
χ314-40440-4-40000004-4000000000000000000004-40440-4-40000004-400000000000000000000
χ3288-8-4202-400400-2000000000000000000000088-8-4202-400400-20000000000000000000000
χ338-802-404-24-4000000000-220000000000000008-802-404-24-4000000000-22000000000000000
χ348-802-404-2-440000000002-20000000000000008-802-404-2-440000000002-2000000000000000
χ358-80-420-2400000000000002i2−2i2000000−i2i2000008-80-420-2400000000000002i2−2i2000000−i2i200000
χ368-80-420-240000000000000−2i22i2000000i2−i2000008-80-420-240000000000000−2i22i2000000i2−i200000
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
χ4111111-111111-1-11111-1-11111-11-11-1-111-111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11-11-111-1-11-1-111
χ4211111-111111-1-11111-1-111-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1111-1-1-11111111-1-1
χ4311111-111-1-11-1-1111-111-1-111-11-1-11111-1-1-1-11-1-1-1-1-11-1-111-111-1-1-11-1-111-1-11-111-1-1-1-11111-1
χ4411111-111-1-11-1-1111-111-1-1-1-1-111-111-1-1-1111-1-1-1-1-1-11-1-111-111-1-1-11-1-111111-1-11-1-1111-1-1-11
χ4522222222002222-2-200000002-2000000-20000-2-2-2-2-2-2-2-200-2-2-2-2220000000-2200000020000
χ4622222-222002-2-22-2-20000000-2-200000020000-2-2-2-2-22-2-200-222-222000000022000000-20000
χ4722-22202200-200-2-2-202-2000002002-20000000-2-22-2-20-2-2002002220-2200000-200-220000000
χ4822-22202200-200-2-2-20-2200000200-220000000-2-22-2-20-2-20020022202-200000-2002-20000000
χ4922-22202222-200-222-20022000-20-2000000000-2-22-2-20-2-2-2-22002-2-2200-2-2000202000000000
χ5022-222022-2-2-200-222200-2-2000-202000000000-2-22-2-20-2-2222002-2-2-2002200020-2000000000
χ512-20220-2-22-20000-220002-2i2−i2000000i2−i20i2−i200-220-2-2022-2200002-2000-22−i2i2000000−i2i20−i2i200
χ522-20220-2-22-20000-220002-2−i2i2000000−i2i20−i2i200-220-2-2022-2200002-2000-22i2−i2000000i2−i20i2−i200
χ532-20220-2-2-220000-22000-22i2−i2000000i2−i20−i2i200-220-2-20222-200002-20002-2−i2i2000000−i2i20i2−i200
χ542-20220-2-2-220000-22000-22−i2i2000000−i2i20i2−i200-220-2-20222-200002-20002-2i2−i2000000i2−i20−i2i200
χ554441-24-2122111-200222-1-100-200-1-1-10000000-4-4-4-12-42-1-2-2-1-1-1200-2-2-211002001110000000
χ564441-24-21-2-2111-200-2-2-21100-2001110000000-4-4-4-12-42-122-1-1-1200222-1-100200-1-1-10000000
χ574441-2-4-21221-1-1-2002-2-2-1-100200-1110000000-4-4-4-1242-1-2-2-111200-2221100-2001-1-10000000
χ584441-2-4-21-2-21-1-1-200-22211002001-1-10000000-4-4-4-1242-122-1112002-2-2-1-100-200-1110000000
χ59444-2141-200-2-2-21000000022102000-1-1000-10-4-4-42-1-4-1200222-10000000-2-2-10-20001100010
χ60444-2141-200-2-2-210000000-2-210-20001100010-4-4-42-1-4-1200222-1000000022-102000-1-1000-10
χ61444-21-41-200-2221000000022-10-2000-1-100010-4-4-42-14-12002-2-2-10000000-2-210200011000-10
χ62444-21-41-200-22210000000-2-2-10200011000-10-4-4-42-14-12002-2-2-100000002210-2000-1-100010
χ6344-41-20-2122-13-3200-22-2-1-1000001-110000000-4-44-1202-1-2-21-33-2002-221100000-11-10000000
χ6444-41-20-2122-1-33200-2-22-1-10000011-10000000-4-44-1202-1-2-213-3-20022-21100000-1-110000000
χ6544-41-20-21-2-2-13-32002-221100000-11-10000000-4-44-1202-1221-33-200-22-2-1-1000001-110000000
χ6644-41-20-21-2-2-1-3320022-21100000-1-110000000-4-44-1202-12213-3-200-2-22-1-10000011-10000000
χ674-40440-4-40000004-400000000000000000000-440-4-4044000000-4400000000000000000000
χ6888-8-4202-400400-20000000000000000000000-8-884-20-2400-40020000000000000000000000
χ698-802-404-24-4000000000-22000000000000000-880-240-42-440000000002-2000000000000000
χ708-802-404-2-440000000002-2000000000000000-880-240-424-4000000000-22000000000000000
χ718-80-420-2400000000000002i2−2i2000000−i2i200000-8804-202-40000000000000−2i22i2000000i2−i200000
χ728-80-420-240000000000000−2i22i2000000i2−i200000-8804-202-400000000000002i2−2i2000000−i2i200000

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