Finite Group Databasebeta

← Group #11922481

Character table — Group #11922481

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122244666688812121212161616161618182424242424242424243232323648484848484872727272
order12346212224436624612366612244466881212126612466121224242488
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-11-1-1111111-11-1-1-1-1-1-1
χ31111111-11-11111-111111111-1-111-1-111111111-1-1-11-111-1-1-1-1
χ41111111-11-11111-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-11111
χ511111-1111111-11-1-1111-1-111111-111-11-1-1-1-1-11-1-1-111-111-1-11
χ611111-1111111-11-1-1111-1-11111-11111-1-111-1-11-1-1-1-111-1-111-1
χ711111-11-11-111-111-1111-1-111-1-11-1-1-1-11-1-1-1-1-111111-1-11-111-1
χ811111-11-11-111-111-1111-1-111-1-1-11-1-11-1-111-1-11111-1-11-11-1-11
χ922222222222-12-12222-1-1-1-1-12200-1-100200-1-1-12-1-10-1000000
χ102222222-22-22-12-1-2222-1-1-1-1-1-2-2001100200-1-1-1-21101000000
χ1122222-222222-1-2-1-2-222-111-1-12200-1-100-20011-1-2110-1000000
χ1222222-22-22-22-1-2-12-222-111-1-1-2-2001100-20011-12-1-101000000
χ13222-220-22-2-2220200-222002-2-2200220000000-20000-2000000
χ14222-220-22-2-22-10-100-22-1i3−i3-11-2200-1-100000i3−i310i3−i301000000
χ15222-220-22-2-22-10-100-22-1−i3i3-11-2200-1-100000−i3i310−i3i301000000
χ16222-220-2-2-22220200-222002-22-200-2-20000000-200002000000
χ17222-220-2-2-222-10-100-22-1i3−i3-112-2001100000i3−i310−i3i30-1000000
χ18222-220-2-2-222-10-100-22-1−i3i3-112-2001100000−i3i310i3−i30-1000000
χ1922-12-12-102022-1202-1-1-122-1200220022-1-1-1-1-1-1000-10-1-10000
χ2022-12-12-102022-1202-1-1-122-1200-2-200-2-2-111-1-1-100010110000
χ2122-12-1-2-102022120-2-1-1-1-2-2-12002-200-2211111-1000-101-10000
χ2222-12-1-2-102022120-2-1-1-1-2-2-1200-22002-21-1-111-100010-110000
χ2333333333-13-10303-1-1-100000-1-11-1001-1-1-1-1000-100101-11-11-1
χ2433333333-13-10303-1-1-100000-1-1-1100-11-111000-100-10-11-11-11
χ253333333-3-1-3-1030-3-1-1-100000111-1001-1-1-1-1000100101-1-11-11
χ263333333-3-1-3-1030-3-1-1-10000011-1100-11-111000100-10-111-11-1
χ2733333-333-13-10-30-31-1-100000-1-11100-1-111100010010-1-111-1-1
χ2833333-333-13-10-30-31-1-100000-1-1-1-100111-1-1000100-1011-1-111
χ2933333-33-3-1-3-10-3031-1-100000111100-1-1111000-10010-1-1-1-111
χ3033333-33-3-1-3-10-3031-1-10000011-1-100111-1-1000-100-101111-1-1
χ3144-24-24-20404-2-2-204-2-21-2-21-200000000-20011100000000000
χ3244-24-2-4-20404-22-20-4-2-21221-200000000200-1-1100000000000
χ3344-2-4-2020-404404002-2-200-2-40000000000000200000000000
χ3444-2-4-2020-404-20-2002-212i3−2i31200000000000−i3i3-100000000000
χ3544-2-4-2020-404-20-2002-21−2i32i31200000000000i3−i3-100000000000
χ36666-660-662-6-2000002-2000002-200000000000000000000000
χ37666-660-6-626-2000002-200000-2200000000000000000000000
χ3866-36-36-30-20-20-300-21100000002-2002-2111000000-10-110000
χ3966-36-36-30-20-20-300-2110000000-2200-221-1-1000000101-10000
χ4066-36-3-6-30-20-2030021100000002200-2-2-1-1-1000000-10110000
χ4166-36-3-6-30-20-203002110000000-2-20022-11100000010-1-10000
χ428-880-800000020-20000200-2000002i3−2i30000000000000000000
χ438-880-800000020-20000200-200000−2i32i30000000000000000000
χ448-880-8000000-4040000-400400000000000000000000000000
χ458-8-404000000-4040000200-200000000002i3−2i300000000000000
χ468-8-404000000-4040000200-20000000000−2i32i300000000000000
χ471212-6-12-606040-400000-22000000000000000000000000000000
χ4816-16-80800000040-40000-200200000000000000000000000000

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