Finite Group Databasebeta

← Group #11868054

Character table — Group #11868054

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11222222244444444446666888888888991212121212121212121216161616161616161616181818242424242424242424243636484848487272
order1223344663666881212121288884681212242424244422448824242424121212122424242424242242466881212242488612242428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-11-1111111111111111111-1-1-1-1-1-111-1-1111-1-111-1-1111111-1-1-1-1-1-1
χ3111111111111111111111-1-1111111111-1-11-11-11-111-1-11111111111-1-1-11-1-111-11-11-1-1-11-11-1-1-1
χ4111111111111111111111-1-1-11-1111111-1-11-11-11-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-111-11-1-1-1-11-1111
χ51111111111111111111-1-111111111111-1-1-11-11-11-1-1111111111111-1-1-1-111-1-11-11-11-1-1-11-11-1-1
χ61111111111111111111-1-111-11-1111111-1-1-11-11-11-1-111-1-1-1-1-1-111-1-1-1-1-11-11-11-1-11-11-1-11-11-111
χ71111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1-1-1111111-1-1
χ91111111111111-1-11111111111-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11-1
χ101111111111111-1-111111111-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111111-1-1-1-111-1-111-1-1-1-111-11
χ111111111111111-1-1111111-1-111-111-1-1-1-1-1-1-11-111-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11-111-1111-1-11-11
χ121111111111111-1-1111111-1-1-11111-1-1-1-1-1-1-11-111-111-1-1-1-1-1-111-1-111-1-1-1-111-11-1-111-111-111-11-1
χ131111111111111-1-11111-1-11111-111-1-1-1-1-1-11-11-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1111-111-1-11
χ141111111111111-1-11111-1-111-11111-1-1-1-1-1-11-11-1-11-1-111-1-1-1-111-1-111-1-1-11-1-11-111-1-11111-1-111-1
χ151111111111111-1-11111-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1111-1
χ161111111111111-1-11111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-111-1-1-1-111-1-1-11
χ1722222-2-22222222i−2i-2-2-2-20000020-2-22i2i−2i−2i2200000000000000002i−2i00-2-2200000000002i−2i000000
χ1822222-2-22222222i−2i-2-2-2-20000020-2-22i2i−2i−2i-2-200000000000000002i−2i0022-20000000000−2i2i000000
χ1922222-2-2222222−2i2i-2-2-2-20000020-2-2−2i−2i2i2i220000000000000000−2i2i00-2-220000000000−2i2i000000
χ2022222-2-2222222−2i2i-2-2-2-20000020-2-2−2i−2i2i2i-2-20000000000000000−2i2i0022-200000000002i−2i000000
χ212222-122-12-12-1-122-1-12222002-12-1-12-12-100202020-1-100-12-1-12-1-1-1-1-1000200-120-10-1000-10-1000
χ222222-122-12-12-1-122-1-1222200-2-1-2-1-12-12-100202020-1-1001-211-21-1-111000-200-1-20-10-1000101000
χ232222-122-12-12-1-122-1-122-2-2002-12-1-12-12-100-20-20-201100-12-1-12-1-1-1-1-1000-2001-20101000101000
χ242222-122-12-12-1-122-1-122-2-200-2-1-2-1-12-12-100-20-20-2011001-211-21-1-111000200120101000-10-1000
χ252222-122-12-12-1-1-2-2-1-12222002-1-2-1-1-21-2100-20-2020-1-100-12-1-1-2111110002001-2010-1000-101000
χ262222-122-12-12-1-1-2-2-1-1222200-2-12-1-1-21-2100-20-2020-1-1001-2112-111-1-1000-20012010-100010-1000
χ272222-122-12-12-1-1-2-2-1-122-2-2002-1-2-1-1-21-21002020-201100-12-1-1-211111000-200-120-10100010-1000
χ282222-122-12-12-1-1-2-2-1-122-2-200-2-12-1-1-21-21002020-2011001-2112-111-1-1000200-1-20-101000-101000
χ29222-12222-1-1-12-12222-1-100222-12-1-1-12-120002020200-1-12-1-1-1-12-1-1-1-100002-10020-10-1000-10-100
χ30222-12222-1-1-12-12222-1-10022-2-1-2-1-1-12-120002020200-1-1-21111-2-1-1110000-2-100-20-10-100010100
χ31222-12222-1-1-12-12222-1-100-2-22-12-1-1-12-12000-20-20-200112-1-1-1-12-1-1-1-10000-2100-2010100010100
χ32222-12222-1-1-12-12222-1-100-2-2-2-1-2-1-1-12-12000-20-20-20011-21111-2-1-1110000210020101000-10-100
χ33222-12222-1-1-12-1-2-222-1-100222-1-2-1-11-21-2000-20-20200-1-12-1-1-11-2111100002100-2010-1000-10100
χ34222-12222-1-1-12-1-2-222-1-10022-2-12-1-11-21-2000-20-20200-1-1-2111-1211-1-10000-21002010-100010-100
χ35222-12222-1-1-12-1-2-222-1-100-2-22-1-2-1-11-21-20002020-200112-1-1-11-211110000-2-10020-10100010-100
χ36222-12222-1-1-12-1-2-222-1-100-2-2-2-12-1-11-21-20002020-20011-2111-1211-1-100002-100-20-101000-10100
χ3722-2222-2222-2-22002-22-222220-202-20000220000-2-2222200000000002-2-200000000-2-200000000
χ3822-2222-2222-2-22002-22-222-2-20-202-20000-2-20000-2222-2-20000000000-22200000000-2200000000
χ3922-2222-2222-2-22002-22-2-2-2220-202-20000-2-200002-2-2-2220000000000-222000000002-200000000
χ4022-2222-2222-2-22002-22-2-2-2-2-20-202-2000022000022-2-2-2-200000000002-2-2000000002200000000
χ4122-222-22222-2-2200-22-2200000-20-220000222-2-220000000000000000-22-200-2200-220000000000
χ4222-222-22222-2-2200-22-2200000-20-22000022-222-20000000000000000-22-2002-2002-20000000000
χ4322-222-22222-2-2200-22-2200000-20-220000-2-222-2-200000000000000002-22002200-2-20000000000
χ4422-222-22222-2-2200-22-2200000-20-220000-2-2-2-22200000000000000002-2200-2-200220000000000
χ454444-2-4-4-24-24-2-24i−4i22-4-400000-20224i−2i−4i2i000000000000000000−2i2i00000000000000000000000
χ464444-2-4-4-24-24-2-2−4i4i22-4-400000-2022−4i2i4i−2i0000000000000000002i−2i00000000000000000000000
χ47444-24-4-44-2-2-24-24i−4i-4-42200000-2022−2i4i2i−4i000000000000000000−2i2i00000000000000000000000
χ48444-24-4-44-2-2-24-2−4i4i-4-42200000-20222i−4i−2i4i0000000000000000002i−2i00000000000000000000000
χ49444-2-244-2-21-2-2144-2-2-2-2000041411-2-2-2-2000000000000-2-211-2-21111000000000000000000000
χ50444-2-244-2-21-2-2144-2-2-2-20000-41-411-2-2-2-200000000000022-1-12211-1-1000000000000000000000
χ51444-2-244-2-21-2-21-4-4-2-2-2-2000041-4112222000000000000-2-21122-1-1-1-1000000000000000000000
χ52444-2-244-2-21-2-21-4-4-2-2-2-20000-41411222200000000000022-1-1-2-2-1-111000000000000000000000
χ53444-2-2-4-4-2-21-2-214i−4i22220000010-1-1−2i−2i2i2i000000000000003-300i−i3i−3i000000000000000000000
χ54444-2-2-4-4-2-21-2-214i−4i22220000010-1-1−2i−2i2i2i00000000000000-3300i−i−3i3i000000000000000000000
χ55444-2-2-4-4-2-21-2-21−4i4i22220000010-1-12i2i−2i−2i000000000000003-300−ii−3i3i000000000000000000000
χ56444-2-2-4-4-2-21-2-21−4i4i22220000010-1-12i2i−2i−2i00000000000000-3300−ii3i−3i000000000000000000000
χ5744-44-24-4-24-2-42-200-224-44400020-220000000000-40-2-2000000000000000000000002000000000
χ5844-44-24-4-24-2-42-200-224-4-4-400020-220000000000402200000000000000000000000-2000000000
χ5944-44-2-44-24-2-42-2002-2-4400000202-200000040-400000000000000000000000-200200000000000
χ6044-44-2-44-24-2-42-2002-2-4400000202-2000000-40400000000000000000000000200-200000000000
χ6144-4-244-44-2-22-4-2004-4-220044020-2200000000000-400-2-20000000000000000000000200000000
χ6244-4-244-44-2-22-4-2004-4-2200-4-4020-2200000000000400220000000000000000000000-200000000
χ6344-4-24-444-2-22-4-200-442-200000202-2000000040-4000000000000000000000-2000020000000000
χ6444-4-24-444-2-22-4-200-442-200000202-20000000-40400000000000000000000020000-20000000000
χ654-404400-4-4400-40000002i2−2i222−220000000004i−4i0000002i2−2i222−220000000000000000000000000000000
χ664-404400-4-4400-40000002i2−2i2−2222000000000−4i4i0000002i2−2i2−22220000000000000000000000000000000
χ674-404400-4-4400-4000000−2i22i222−22000000000−4i4i000000−2i22i222−220000000000000000000000000000000
χ684-404400-4-4400-4000000−2i22i2−22220000000004i−4i000000−2i22i2−22220000000000000000000000000000000
χ6988-8-4-48-8-4-4244200-44-4400000-202-200000000000000000000000000000000000000000000000
χ7088-8-4-4-88-4-42442004-44-400000-20-2200000000000000000000000000000000000000000000000
χ718-808-4004-8-40040000004i2−4i20000000000000000000−2i22i2000000000000000000000000000000000
χ728-808-4004-8-4004000000−4i24i200000000000000000002i2−2i2000000000000000000000000000000000
χ738-80-4800-84-40040000000042−420000000000000000000−22220000000000000000000000000000000
χ748-80-4800-84-400400000000−4242000000000000000000022−220000000000000000000000000000000
χ7516-160-8-80088400-400000000000000000000000000000000000000000000000000000000000000

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