Finite Group Databasebeta

← Group #11799111

Character table — Group #11799111

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222222222444444444444444466888888812121212121212121212121616161616161616162424242424242424484848484872727272
order1223344666688366668121212122424242424248812122424242424448121212122424242426666666624161648484848266612881616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111
χ511111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-1-11-1-1-1-1
χ611111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-111
χ811111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-111-1-1
χ922222222222-2-222222-22222-2-2-2-2-2-22222-2-2-2-2-2-2-22-2-2-2-2222200000000000000000000000000
χ1022222222222-2-222222-22222-2-2-2-2-2-2-2-222-2-2-2-2-222-22222-2-2-2-200000000000000000000000000
χ112222-122-1-1-1222-12-1-1-122-12-1-1-1-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000020-1-100000
χ122222-122-1-1-1222-12-1-1-122-12-1-1-1-1-12222-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-211111100000000-201100000
χ132222-122-1-1-1222-12-1-1-122-12-1-1-1-1-122-2-2-1-12-1-1-1-1-2-2-211111111222-1-1-1-1-1-100000000-201100000
χ142222-122-1-1-1222-12-1-1-122-12-1-1-1-1-122-2-2-1-12-1-1-1-1-2-2-211111111-2-2-21111110000000020-1-100000
χ152222-122-1-1-12-2-2-12-1-1-1-22-12-11111-2-222-1-1-21111-2-221111-1-1-1-1000−i3i3−i3−i3i3i30000000000−i3i300000
χ162222-122-1-1-12-2-2-12-1-1-1-22-12-11111-2-222-1-1-21111-2-221111-1-1-1-1000i3−i3i3i3−i3−i30000000000i3−i300000
χ172222-122-1-1-12-2-2-12-1-1-1-22-12-11111-2-2-2-2-1-1-2111122-2-1-1-1-11111000−i3i3−i3−i3i3i30000000000i3−i300000
χ182222-122-1-1-12-2-2-12-1-1-1-22-12-11111-2-2-2-2-1-1-2111122-2-1-1-1-11111000i3−i3i3i3−i3−i30000000000−i3i300000
χ19222-1222222-122-1-1-1-1-12-12-122222-1-100-1-1-1-1-1-1-1000000000002-1-122-1-1-1-12222-1-1-1-10-100-10000
χ20222-1222222-122-1-1-1-1-12-12-122222-1-100-1-1-1-1-1-1-1000000000002-1-122-1-1-1-1-2-2-2-21111010010000
χ21222-1222222-122-1-1-1-1-12-12-122222-1-100-1-1-1-1-1-1-100000000000-211-2-2111122-2-211110-100-10000
χ22222-1222222-122-1-1-1-1-12-12-122222-1-100-1-1-1-1-1-1-100000000000-211-2-21111-2-222-1-1-1-1010010000
χ2322-2222-22-2-22222-2-2-22-2-222-222-2-22200-22-222-2-2000000000000000000002-20000000200-20000
χ2422-2222-22-2-22222-2-2-22-2-222-222-2-22200-22-222-2-200000000000000000000-220000000-20020000
χ2522-2222-22-2-22-2-22-2-2-222-222-2-2-222-2-200-222-2-2220000000000000000000000000000000002i−2i00
χ2622-2222-22-2-22-2-22-2-2-222-222-2-2-222-2-200-222-2-222000000000000000000000000000000000−2i2i00
χ2722-222-222-2-22002-2-2-2202-2-22000000222-20000000-2000022-2-2000000000002−222−2−200000002−2
χ2822-222-222-2-22002-2-2-2202-2-22000000222-20000000-2000022-2-200000000000−22−2−2220000000−22
χ2922-222-222-2-22002-2-2-2202-2-22000000-2-22-2000000020000-2-222000000000002−222−2−20000000−22
χ3022-222-222-2-22002-2-2-2202-2-22000000-2-22-2000000020000-2-22200000000000−22−2−22200000002−2
χ3122-2-122-22-2-2-122-1111-1-212-1-222-2-2-1-1001-11-1-111000000000000−i3i300−i3i3−i3i32-200−i3i3−i3i30-10010000
χ3222-2-122-22-2-2-122-1111-1-212-1-222-2-2-1-1001-11-1-111000000000000−i3i300−i3i3−i3i3-2200i3−i3i3−i30100-10000
χ3322-2-122-22-2-2-122-1111-1-212-1-222-2-2-1-1001-11-1-111000000000000i3−i300i3−i3i3−i32-200i3−i3i3−i30-10010000
χ3422-2-122-22-2-2-122-1111-1-212-1-222-2-2-1-1001-11-1-111000000000000i3−i300i3−i3i3−i3-2200−i3i3−i3i30100-10000
χ3544444-4-4444400444440-4-4-4-400000000-4-4000000000000000000000000000000000000000000
χ364444-2-4-4-2-2-2400-24-2-2-20-42-42000000002200000000−2i3−2i32i32i3000000000000000000000000000000
χ374444-2-4-4-2-2-2400-24-2-2-20-42-420000000022000000002i32i3−2i3−2i3000000000000000000000000000000
χ38444-2444444-2-4-4-2-2-2-2-2-4-24-24-4-4-4-42200-2-2222220000000000000000000000000000000000000
χ39444-24-4-4444-200-2-2-2-2-202-42-4000000002200000000000000000000000000000i6−i6−i6i6000000000
χ40444-24-4-4444-200-2-2-2-2-202-42-4000000002200000000000000000000000000000−i6i6i6−i6000000000
χ41444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-20011-21111000000000004-2-2-2-2111100000000000000000
χ42444-2-244-2-2-2-2441-21114-2-2-2-2-2-2-2-2-2-20011-2111100000000000-42222-1-1-1-100000000000000000
χ43444-2-244-2-2-2-2-4-41-2111-4-2-2-2-222222200112-1-1-1-100000000000000−2i32i3i3i3−i3−i300000000000000000
χ44444-2-244-2-2-2-2-4-41-2111-4-2-2-2-222222200112-1-1-1-1000000000000002i3−2i3−i3−i3i3i300000000000000000
χ4544-44-24-4-222444-2-422-2-4-4-242-2-22244002-2-4-2-2220000000000000000000000000000000000000
χ4644-44-24-4-2224-4-4-2-422-24-4-24222-2-2-4-4002-2422-2-20000000000000000000000000000000000000
χ4744-44-2-44-222400-2-422-2042-4-200000044-220000000-40000-2-22200000000000000000000000000
χ4844-44-2-44-222400-2-422-2042-4-2000000-4-4-2200000004000022-2-200000000000000000000000000
χ4944-4-244-44-4-4-2-4-4-2222-2424-2-4-4-44422002-2-222-2-20000000000000000000000000000000000000
χ5044-4-24-444-4-4-200-2222-20-2-42400000000-2200000000000000000000000000022−22−2−222000000000
χ5144-4-24-444-4-4-200-2222-20-2-42400000000-22000000000000000000000000000−222222−2−2000000000
χ5244-4-2-24-4-222-24412-1-11-42-2-22-2-222-2-200-11211-1-1000000000000−2i32i300i3−i3i3−i300000000000000000
χ5344-4-2-24-4-222-24412-1-11-42-2-22-2-222-2-200-11211-1-10000000000002i3−2i300−i3i3−i3i300000000000000000
χ5444-4-2-24-4-222-2-4-412-1-1142-2-2222-2-22200-11-2-1-11100000000000000003-3-3300000000000000000
χ5544-4-2-24-4-222-2-4-412-1-1142-2-2222-2-22200-11-2-1-1110000000000000000-333-300000000000000000
χ564-404400-400-422−224000-40000022−220022−2222−2200022−22002-202-22-222−220000000000000000000000000000
χ574-404400-400-422−224000-40000022−220022−22−222200022−2200-220-22-22−22220000000000000000000000000000
χ584-404400-400-4−22224000-400000−222200−222222−22000−222200-220-22-2222−220000000000000000000000000000
χ594-404400-400-4−22224000-400000−222200−2222−2222000−2222002-202-22-2−22220000000000000000000000000000
χ604-404-2002−2i32i3-422−22-20−2i32i3200000−22i6−i622−2222−22000−22i6−i62-20−1−i31+i3−1+i31−i3−22i6−i600000000000000000000000000
χ614-404-2002−2i32i3-422−22-20−2i32i3200000−22i6−i622−22−2222000−22i6−i6-2201+i3−1−i31−i3−1+i32−2−i6i600000000000000000000000000
χ624-404-2002−2i32i3-4−2222-20−2i32i32000002−2−i6i6−222222−220002−2−i6i6-2201+i3−1−i31−i3−1+i3−22i6−i600000000000000000000000000
χ634-404-2002−2i32i3-4−2222-20−2i32i32000002−2−i6i6−2222−22220002−2−i6i62-20−1−i31+i3−1+i31−i32−2−i6i600000000000000000000000000
χ644-404-20022i3−2i3-422−22-202i3−2i3200000−22−i6i622−2222−22000−22−i6i62-20−1+i31−i3−1−i31+i3−22−i6i600000000000000000000000000
χ654-404-20022i3−2i3-422−22-202i3−2i3200000−22−i6i622−22−2222000−22−i6i6-2201−i3−1+i31+i3−1−i32−2i6−i600000000000000000000000000
χ664-404-20022i3−2i3-4−2222-202i3−2i32000002−2i6−i6−222222−220002−2i6−i6-2201−i3−1+i31+i3−1−i3−22−i6i600000000000000000000000000
χ674-404-20022i3−2i3-4−2222-202i3−2i32000002−2i6−i6−2222−22220002−2i6−i62-20−1+i31−i3−1−i31+i32−2i6−i600000000000000000000000000
χ68888-4-4-8-8-4-4-4-4002-42220444400000000-2-2000000000000000000000000000000000000000000
χ6988-8-4-4-88-444-40024-2-220-444-4000000002-2000000000000000000000000000000000000000000
χ708-80-4800-800442−42-400040000042−4200−222200000−2222000000000000000000000000000000000000000
χ718-80-4800-8004−4242-4000400000−42420022−220000022−22000000000000000000000000000000000000000
χ728-80-4-4004−4i34i3442−42202i3−2i3-200000−22222i6−2i6−2222000002−2−i6i60000000000000000000000000000000000000
χ738-80-4-4004−4i34i34−4242202i3−2i3-20000022−22−2i62i622−2200000−22i6−i60000000000000000000000000000000000000
χ748-80-4-40044i3−4i3442−4220−2i32i3-200000−2222−2i62i6−2222000002−2i6−i60000000000000000000000000000000000000
χ758-80-4-40044i3−4i34−424220−2i32i3-20000022−222i6−2i622−2200000−22−i6i60000000000000000000000000000000000000

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