Finite Group Databasebeta

← Group #11799745

Character table — Group #11799745

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222224444444444444448888888816161616161616161618182424242424242424242424242424242436363648484848144
order122334466883666668121212122424242412122424242424244121212121212121288248816161616484848484848484844861224244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11
χ31111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-111-1
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-1-1-1-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-111-1-11
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1111
χ9222222222-2-2222222-22222-2-2-2-222-2-2-2-2-2-2000000000220000000000000000-2-2200000
χ10222222222-2-2222222-22222-2-2-2-222-2-2-2-2-2-2000000000-2-2000000000000000022-200000
χ112222-1222-122-1-12-1-1-12-12-1222-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-10022002200-1-1-1-10000000-1-1000
χ122222-1222-122-1-12-1-1-12-12-1222-1-1-1-12-1-1-1-1-1222-1-1-1-1-1-100-2-200-2-2001111000000011000
χ132222-1222-122-1-12-1-1-12-12-1222-1-1-1-12-1-1-1-1-1-2-2-2111111002200-2-20011110000000-1-1000
χ142222-1222-122-1-12-1-1-12-12-1222-1-1-1-12-1-1-1-1-1-2-2-211111100-2-2002200-1-1-1-1000000011000
χ15222-1222-1222-1-1-12-1-122-12-1-1-122-1-1-12-1-1-1-12-1-122-1-1-1-100002200220000-1-1-1-100000-1-10
χ16222-1222-1222-1-1-12-1-122-12-1-1-122-1-1-12-1-1-1-12-1-122-1-1-1-10000-2-200-2-20000111100000110
χ17222-1222-1222-1-1-12-1-122-12-1-1-122-1-1-12-1-1-1-1-211-2-2111100002200-2-20000111100000-1-10
χ18222-1222-1222-1-1-12-1-122-12-1-1-122-1-1-12-1-1-1-1-211-2-211110000-2-200220000-1-1-1-100000110
χ1922-2222-2222222-2-2-2-2-2-222-22222-22-2-222-2-200000000000002i−2i000000000000000002i−2i0
χ2022-2222-2222222-2-2-2-2-2-222-22222-22-2-222-2-20000000000000−2i2i00000000000000000−2i2i0
χ2122-2222-222-2-222-2-2-2-22-222-2-2-2-2-2-2222-2-222000000000002-2000000000000000002-2000
χ2222-2222-222-2-222-2-2-2-22-222-2-2-2-2-2-2222-2-22200000000000-2200000000000000000-22000
χ2322-222-22220022-2-2-2-202-2-2200002-2000000000000000220000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200-200000
χ2422-222-22220022-2-2-2-202-2-2200002-2000000000000000220000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200-200000
χ2522-222-22220022-2-2-2-202-2-2200002-2000000000000000-2-20000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i200200000
χ2622-222-22220022-2-2-2-202-2-2200002-2000000000000000-2-20000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i200200000
χ2722-22-12-22-1-2-2-1-1-2111212-1-2-2-2111-12-111-1-10003−333−3−3002-20000003−33−30000000-11000
χ2822-22-12-22-1-2-2-1-1-2111212-1-2-2-2111-12-111-1-10003−333−3−300-22000000−33−3300000001-1000
χ2922-22-12-22-1-2-2-1-1-2111212-1-2-2-2111-12-111-1-1000−33−3−333002-2000000−33−330000000-11000
χ3022-22-12-22-1-2-2-1-1-2111212-1-2-2-2111-12-111-1-1000−33−3−33300-220000003−33−300000001-1000
χ3122-2-122-2-1222-1-11-211-2-2-121-1-1221-11-2-1-11103−3003−33−300002i−2i00000000−i3i3−i3i300000−ii0
χ3222-2-122-2-1222-1-11-211-2-2-121-1-1221-11-2-1-11103−3003−33−30000−2i2i00000000i3−i3i3−i300000i−i0
χ3322-2-122-2-1222-1-11-211-2-2-121-1-1221-11-2-1-1110−3300−33−3300002i−2i00000000i3−i3i3−i300000−ii0
χ3422-2-122-2-1222-1-11-211-2-2-121-1-1221-11-2-1-1110−3300−33−330000−2i2i00000000−i3i3−i3i300000i−i0
χ3544444-4-444004444440-4-4-4-40000-4-400000000000000000000000000000000000000000
χ364444-2444-2-4-4-2-24-2-2-2-4-24-24-4-422-2-2-42222200000000000000000000000000000000000
χ374444-2-4-44-200-2-24-2-2-202-42-40000220000000000000000000000000i6−i6−i6i6000000000000
χ384444-2-4-44-200-2-24-2-2-202-42-40000220000000000000000000000000−i6i6i6−i6000000000000
χ39444-2444-24-4-4-2-2-24-2-2-44-24-222-4-4-2-22-4222200000000000000000000000000000000000
χ40444-24-4-4-2400-2-2-24-2-20-42-42000022000000000000000000000000000006−6−6600000000
χ41444-24-4-4-2400-2-2-24-2-20-42-4200002200000000000000000000000000000−666−600000000
χ42444-2-244-2-24411-2-2114-2-2-2-2-2-2-2-211-2-211114-2-2-2-2111100000000000000000000000000
χ43444-2-244-2-24411-2-2114-2-2-2-2-2-2-2-211-2-21111-42222-1-1-1-100000000000000000000000000
χ44444-2-244-2-2-4-411-2-211-4-2-2-2-222221122-1-1-1-1000003-3-3300000000000000000000000000
χ45444-2-244-2-2-4-411-2-211-4-2-2-2-222221122-1-1-1-100000-333-300000000000000000000000000
χ4644-44-24-44-244-2-2-4222-424-2-444-2-22-2-42-2-22200000000000000000000000000000000000
χ4744-44-2-444-200-2-2-42220-2-4240000-22000000000000000000000−2i22i200i2i2−i2−i2000000000000
χ4844-44-2-444-200-2-2-42220-2-4240000-220000000000000000000002i2−2i200−i2−i2i2i2000000000000
χ4944-4-244-4-24-4-4-2-22-4224-4-24222-4-42-2-2422-2-200000000000000000000000000000000000
χ5044-4-24-44-2400-2-22-422042-4-20000-2200000000000000000000000−2i22i20000i2i2−i2−i200000000
χ5144-4-24-44-2400-2-22-422042-4-20000-22000000000000000000000002i2−2i20000−i2−i2i2i200000000
χ5244-4-2-24-4-2-2441122-1-1-42-2-22-2-2-2-2-112211-1-1023−2300−33−3300000000000000000000000000
χ5344-4-2-24-4-2-2441122-1-1-42-2-22-2-2-2-2-112211-1-10−2323003−33−300000000000000000000000000
χ5444-4-2-24-4-2-2-4-41122-1-142-2-222222-11-2-2-1-11100023−23−3−33300000000000000000000000000
χ5544-4-2-24-4-2-2-4-41122-1-142-2-222222-11-2-2-1-111000−232333−3−300000000000000000000000000
χ564-404400-4-4−2i22i24-4000000000−2i22i2−2i22i20000−2i22i20000000000022−2200000000000000002i−2i000000
χ574-404400-4-4−2i22i24-4000000000−2i22i2−2i22i20000−2i22i200000000000−22220000000000000000−2i2i000000
χ584-404400-4-42i2−2i24-40000000002i2−2i22i2−2i200002i2−2i20000000000022−220000000000000000−2i2i000000
χ594-404400-4-42i2−2i24-40000000002i2−2i22i2−2i200002i2−2i200000000000−222200000000000000002i−2i000000
χ60888-4-4-8-8-4-40022-4-422044440000-2-200000000000000000000000000000000000000000
χ6188-8-4-4-88-4-4002244-2-20-444-400002-200000000000000000000000000000000000000000
χ628-808-400-84−4i24i2-44000000000−4i24i22i2−2i200002i2−2i20000000000000000000000000000000000000
χ638-808-400-844i2−4i2-440000000004i2−4i2−2i22i20000−2i22i20000000000000000000000000000000000000
χ648-80-48004-8−4i24i2-440000000002i2−2i2−4i24i200002i2−2i20000000000000000000000000000000000000
χ658-80-48004-84i2−4i2-44000000000−2i22i24i2−4i20000−2i22i20000000000000000000000000000000000000
χ668-80-4-40044−4i24i22-2006-6000002i2−2i22i2−2i20000−i2i2−3i23i200000000000000000000000000000000000
χ678-80-4-40044−4i24i22-200-66000002i2−2i22i2−2i20000−i2i23i2−3i200000000000000000000000000000000000
χ688-80-4-400444i2−4i22-2006-600000−2i22i2−2i22i20000i2−i23i2−3i200000000000000000000000000000000000
χ698-80-4-400444i2−4i22-200-6600000−2i22i2−2i22i20000i2−i2−3i23i200000000000000000000000000000000000

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