Finite Group Databasebeta

← Group #11796459

Character table — Group #11796459

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122244444488888888121224242422444888888161616161616161624244848483366612121212121224242424242424243636727272
order122364446121288121224242424442883663612121261212242412122424242412126242422266444612128812122424242444288
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1
χ311111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-1
χ411111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-111
χ5111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i
χ6111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii
χ7111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii
χ8111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i
χ922222-22-222200-2-200000000022222-22-222200-2-200000000022222-22-222200-2-2000000000
χ1022222-2-222-2-200-2200000000022222-2-222-2-200-2200000000022222-2-222-2-200-22000000000
χ11222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000
χ12222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000
χ13222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000
χ14222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000
χ15222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000
χ16222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000
χ17222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000
χ18222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000
χ1944-444000-400000000000000044-444000-400000000000000044-444000-4000000000000000
χ2044-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i30000000000000
χ2144-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i30000000000000
χ224-404-4000000000000002i−2i0004-404-4000000000000002i−2i0004-404-4000000000000002i−2i000
χ234-404-400000000000000−2i2i0004-404-400000000000000−2i2i0004-404-400000000000000−2i2i000
χ248-80-4400000000000000000008-80-4400000000000000000008-80-440000000000000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ261111111111111111111-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ2711111111111-1-111-1-1-1-1111-1-111111111111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111
χ2811111111111-1-111-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1
χ29111111-1-11-1-1i−i1-1ii−i−i11-1i−i111111-1-11-1-1i−i1-1ii−i−i11-1i−i-1-1-1-1-1-111-111−ii-11−i−iii-1-11−ii
χ30111111-1-11-1-1i−i1-1ii−i−i-1-11−ii111111-1-11-1-1i−i1-1ii−i−i-1-11−ii-1-1-1-1-1-111-111−ii-11−i−iii11-1i−i
χ31111111-1-11-1-1−ii1-1−i−iii11-1−ii111111-1-11-1-1−ii1-1−i−iii11-1−ii-1-1-1-1-1-111-111i−i-11ii−i−i-1-11i−i
χ32111111-1-11-1-1−ii1-1−i−iii-1-11i−i111111-1-11-1-1−ii1-1−i−iii-1-11i−i-1-1-1-1-1-111-111i−i-11ii−i−i11-1−ii
χ3322222-22-222200-2-200000000022222-22-222200-2-2000000000-2-2-2-2-22-22-2-2-20022000000000
χ3422222-2-222-2-200-2200000000022222-2-222-2-200-22000000000-2-2-2-2-222-2-222002-2000000000
χ35222-1-1222-1-1-122-1-1-1-1-1-100000222-1-1222-1-1-122-1-1-1-1-1-100000-2-2-211-2-2-2111-2-211111100000
χ36222-1-1222-1-1-1-2-2-1-1111100000222-1-1222-1-1-1-2-2-1-1111100000-2-2-211-2-2-21112211-1-1-1-100000
χ37222-1-12-2-2-1112i−2i-11−i−iii00000222-1-12-2-2-1112i−2i-11−i−iii00000-2-2-211-2221-1-1−2i2i1-1ii−i−i00000
χ38222-1-12-2-2-111−2i2i-11ii−i−i00000222-1-12-2-2-111−2i2i-11ii−i−i00000-2-2-211-2221-1-12i−2i1-1−i−iii00000
χ39222-1-1-22-2-1-1-10011−i3i3−i3i300000222-1-1-22-2-1-1-10011−i3i3−i3i300000-2-2-2112-2211100-1-1i3−i3i3−i300000
χ40222-1-1-22-2-1-1-10011i3−i3i3−i300000222-1-1-22-2-1-1-10011i3−i3i3−i300000-2-2-2112-2211100-1-1−i3i3−i3i300000
χ41222-1-1-2-22-111001-13−3−3300000222-1-1-2-22-111001-13−3−3300000-2-2-21122-21-1-100-11−333−300000
χ42222-1-1-2-22-111001-1−333−300000222-1-1-2-22-111001-1−333−300000-2-2-21122-21-1-100-113−3−3300000
χ4344-444000-400000000000000044-444000-4000000000000000-4-44-4-40004000000000000000
χ4444-4-2-20002−2i32i3000000000000044-4-2-20002−2i32i30000000000000-4-4422000-22i3−2i30000000000000
χ4544-4-2-200022i3−2i3000000000000044-4-2-200022i3−2i30000000000000-4-4422000-2−2i32i30000000000000
χ464-404-4000000000000002i−2i0004-404-4000000000000002i−2i000-440-4400000000000000−2i2i000
χ474-404-400000000000000−2i2i0004-404-400000000000000−2i2i000-440-44000000000000002i−2i000
χ488-80-4400000000000000000008-80-440000000000000000000-8804-40000000000000000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ502222222222222222222-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111000000000000000000000000
χ5122222222222-2-222-2-2-2-2222-2-2-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111000000000000000000000000
χ5222222222222-2-222-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1000000000000000000000000
χ53222222-2-22-2-22i−2i2-22i2i−2i−2i22-22i−2i-1-1-1-1-1-111-111−ii-11−i−iii-1-11−ii000000000000000000000000
χ54222222-2-22-2-22i−2i2-22i2i−2i−2i-2-22−2i2i-1-1-1-1-1-111-111−ii-11−i−iii11-1i−i000000000000000000000000
χ55222222-2-22-2-2−2i2i2-2−2i−2i2i2i22-2−2i2i-1-1-1-1-1-111-111i−i-11ii−i−i-1-11i−i000000000000000000000000
χ56222222-2-22-2-2−2i2i2-2−2i−2i2i2i-2-222i−2i-1-1-1-1-1-111-111i−i-11ii−i−i11-1−ii000000000000000000000000
χ5744444-44-444400-4-4000000000-2-2-2-2-22-22-2-2-20022000000000000000000000000000000000
χ5844444-4-444-4-400-44000000000-2-2-2-2-222-2-222002-2000000000000000000000000000000000
χ59444-2-2444-2-2-244-2-2-2-2-2-200000-2-2-211-2-2-2111-2-211111100000000000000000000000000000
χ60444-2-2444-2-2-2-4-4-2-2222200000-2-2-211-2-2-21112211-1-1-1-100000000000000000000000000000
χ61444-2-24-4-4-2224i−4i-22−2i−2i2i2i00000-2-2-211-2221-1-1−2i2i1-1ii−i−i00000000000000000000000000000
χ62444-2-24-4-4-222−4i4i-222i2i−2i−2i00000-2-2-211-2221-1-12i−2i1-1−i−iii00000000000000000000000000000
χ63444-2-2-44-4-2-2-20022−2i32i3−2i32i300000-2-2-2112-2211100-1-1i3−i3i3−i300000000000000000000000000000
χ64444-2-2-44-4-2-2-200222i3−2i32i3−2i300000-2-2-2112-2211100-1-1−i3i3−i3i300000000000000000000000000000
χ65444-2-2-4-44-222002-223−23−232300000-2-2-21122-21-1-100-11−333−300000000000000000000000000000
χ66444-2-2-4-44-222002-2−232323−2300000-2-2-21122-21-1-100-113−3−3300000000000000000000000000000
χ6788-888000-8000000000000000-4-44-4-40004000000000000000000000000000000000000000
χ6888-8-4-40004−4i34i30000000000000-4-4422000-22i3−2i30000000000000000000000000000000000000
χ6988-8-4-400044i3−4i30000000000000-4-4422000-2−2i32i30000000000000000000000000000000000000
χ708-808-8000000000000004i−4i000-440-4400000000000000−2i2i000000000000000000000000000
χ718-808-800000000000000−4i4i000-440-44000000000000002i−2i000000000000000000000000000
χ7216-160-880000000000000000000-8804-40000000000000000000000000000000000000000000

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