Finite Group Databasebeta

← Group #11868146

Character table — Group #11868146

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size112224444444488888161616161818181824242424242424242424242436363636363636363636484848484848
order12244233466121266121212661212224422248888242424242488888888666122424
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111
χ311111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ511111-111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111-111-1111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1
χ711111-111-1111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111
χ811111-111-1111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ911-1-11111-111-1-1-1-1-11111-1-11-1-111-11-11-11-111-1-1-1111-1-111-1-111-1-11-1
χ1011-1-11111-111-1-1-1-1-11111-1-11-1-111-1-111-1-11-1-111-11-1-111-1-111-11-111-1
χ1111-1-11111-111-1-1-1-1-11111-1-11-1-11-111-1-111-111-1-1-11-1-111-1-1111-11-1-11
χ1211-1-11111-111-1-1-1-1-11111-1-11-1-11-11-11-11-11-1-111-1111-1-111-1-1-1-111-11
χ1311-1-11-111111-1-1-1-1-111-1-1111-1-111-11-1-11-11-1-1111-111-1-1-1-11111-1-1-11
χ1411-1-11-111111-1-1-1-1-111-1-1111-1-111-1-11-111-111-1-11-1-1-11111-1-1-11-11-11
χ1511-1-11-111111-1-1-1-1-111-1-1111-1-11-111-11-1-11-1-1111-1-1-11111-1-11-11-11-1
χ1611-1-11-111111-1-1-1-1-111-1-1111-1-11-11-111-11-111-1-11-111-1-1-1-111-1-1111-1
χ172222222222222222222222-2-2-2-2000000000000-2-200000000000000
χ1822222-222-2222222222-2-2-2-2-2-2-2-20000000000002200000000000000
χ19222-2-2022022-2-222-2-2-2000022-2-20000000000000000002i−2i2i−2i000000
χ20222-2-2022022-2-222-2-2-2000022-2-2000000000000000000−2i2i−2i2i000000
χ21222-2-2022022-2-222-2-2-20000-2-222000000000000002-22-20000000000
χ22222-2-2022022-2-222-2-2-20000-2-22200000000000000-22-220000000000
χ2322-22-202202222-2-22-2-200002-22-20000000000000000002i−2i−2i2i000000
χ2422-22-202202222-2-22-2-200002-22-2000000000000000000−2i2i2i−2i000000
χ2522-22-202202222-2-22-2-20000-22-22000000000000002-2-220000000000
χ2622-22-202202222-2-22-2-20000-22-2200000000000000-222-20000000000
χ2722-2-22222-222-2-2-2-2-22222-2-2-222-20000000000002-200000000000000
χ2822-2-22-222222-2-2-2-2-222-2-222-222-2000000000000-2200000000000000
χ294444441-24-21111-2-2-211-2-21000000220022-1-1-1-10000000000-100-100
χ304444441-24-21111-2-2-211-2-21000000-2-200-2-211110000000000100100
χ31444444-2141-2-2-2-2111-2-211-2000022002200000000000000000-1-10-1-1
χ32444444-2141-2-2-2-2111-2-211-20000-2-200-2-20000000000000000011011
χ3344444-41-2-4-21111-2-2-21-122-10000002200-2-211110000000000-100-100
χ3444444-41-2-4-21111-2-2-21-122-1000000-2-20022-1-1-1-10000000000100100
χ3544444-4-21-41-2-2-2-2111-22-1-1200002200-2-200000000000000000-1-1011
χ3644444-4-21-41-2-2-2-2111-22-1-120000-2-2002200000000000000000110-1-1
χ3744-4-4441-2-4-21-1-1-122-211-22-10000002-2002-2-1-1110000000000-100100
χ3844-4-4441-2-4-21-1-1-122-211-22-1000000-2200-2211-1-10000000000100-100
χ3944-4-444-21-41-2222-1-11-2-21-1200002-2002-200000000000000000-110-11
χ4044-4-444-21-41-2222-1-11-2-21-120000-2200-22000000000000000001-101-1
χ4144-4-44-41-24-21-1-1-122-21-12-210000002-200-2211-1-10000000000-100100
χ4244-4-44-41-24-21-1-1-122-21-12-21000000-22002-2-1-1110000000000100-100
χ4344-4-44-4-2141-2222-1-11-22-11-200002-200-2200000000000000000-1101-1
χ4444-4-44-4-2141-2222-1-11-22-11-20000-22002-2000000000000000001-10-11
χ45888-8-802-40-42-2-22-444-2000000000000000000000000000000000000
χ46888-8-80-4202-444-42-2-24000000000000000000000000000000000000
χ4788-88-802-40-4222-24-44-2000000000000000000000000000000000000
χ4888-88-80-4202-4-4-44-22-24000000000000000000000000000000000000
χ498-800002-404-26i−6i000000000000000000000i6−i66−60000000000000000
χ508-800002-404-26i−6i000000000000000000000−i6i6−660000000000000000
χ518-800002-404-2−6i6i000000000000000000000i6−i6−660000000000000000
χ528-800002-404-2−6i6i000000000000000000000−i6i66−60000000000000000
χ538-80000880-8-80000000000000000000000000000000000000000000
χ5416-160000-840-480000000000000000000000000000000000000000000

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