Finite Group Databasebeta

← Group #11878625

Character table — Group #11878625

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11114444444444488881616161618182424242424242424242424242424242436363636363636484848487272
order1222334446666661212121212121212442244444466661212121222288881212121288
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-1-11-111-1-111-1-1111-1-1-1-111-1-1-1-1
χ31111111111111111111111111-11-1-111-11-1-111-1-111111-1-1-1-1-1-111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ51111111-1-111111111-1-11-1-1-111111-1-1-1-111111-1-1111-1-111-1-11-1-1-11-1
χ61111111-1-111111111-1-11-1-1-1111-11-111-1-111-1-1-1-1-1-11-1-1-1-1111-111-11
χ71111111-1-111111111-1-11-1-1-111-11-11-1-111-1-11111111-1-1-1-111-11-1-1-11
χ81111111-1-111111111-1-11-1-1-111-1-1-11111-1-1-1-1-111-1-11-1-111-1-1-11111-1
χ9111111-11-1111111-1-111-11-1-11111-1-11-11-1111111-1-1-11-1-1-111-1-11-11-1
χ10111111-11-1111111-1-111-11-1-1111-1-1-1-111111-1-11111-11-111-1-1-1-1-11-11
χ11111111-11-1111111-1-111-11-1-111-11111-1-1-1-1-111-1-1-1-1-11-111-1-1111-1-11
χ12111111-11-1111111-1-111-11-1-111-1-111-11-11-1-1-1-1-1-111-11-1-1-11111-111-1
χ13111111-1-11111111-1-1-1-1-1-1111111-11-11-1-11111-1-1-1-1-1-11-1-1-1-1-11-1111
χ14111111-1-11111111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-111-1-111111-111-1-1-1
χ15111111-1-11111111-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-1111111-1-11-1-1
χ16111111-1-11111111-1-1-1-1-1-11111-1-11-11-111-1-1-1-11111-1-11-1-1-1-11-11-111
χ1722222222222222222222222-2-20000000000000000-2-2-20000000000
χ182222222-2-222222222-2-22-2-2-2-2-20000000000000000-2220000000000
χ19222222-22-2222222-2-222-22-2-2-2-200000000000000002-220000000000
χ20222222-2-22222222-2-2-2-2-2-222-2-2000000000000000022-20000000000
χ2144441-24441-211-2-211-2-2-211-2000200220200-1-100-1-1000000000-1-100
χ2244441-24441-211-2-211-2-2-211-2000-200-2-20-2001100110000000001100
χ2344441-24-4-41-211-2-21122-2-1-12000200-2-20200-1-100-1-10000000001100
χ2444441-24-4-41-211-2-21122-2-1-12000-200220-200110011000000000-1-100
χ2544441-2-44-41-211-2-2-1-1-2-221-120002002-20-200-1-10011000000000-1100
χ2644441-2-44-41-211-2-2-1-1-2-221-12000-200-2202001100-1-10000000001-100
χ2744441-2-4-441-211-2-2-1-1222-11-2000200-220-200-1-100110000000001-100
χ2844441-2-4-441-211-2-2-1-1222-11-2000-2002-202001100-1-1000000000-1100
χ294444-21444-21-2-211-2-2111-2-210020220020-1-100-1-1000000000-1-10000
χ304444-21444-21-2-211-2-2111-2-2100-20-2-200-20110011000000000110000
χ314444-214-4-4-21-2-211-2-2-1-1122-100202-200-20-1-10011000000000-110000
χ324444-214-4-4-21-2-211-2-2-1-1122-100-20-2200201100-1-10000000001-10000
χ334444-21-44-4-21-2-2112211-1-22-10020-2-20020-1-100-1-1000000000110000
χ344444-21-44-4-21-2-2112211-1-22-100-202200-20110011000000000-1-10000
χ354444-21-4-44-21-2-21122-1-1-12-210020-2200-20-1-100110000000001-10000
χ364444-21-4-44-21-2-21122-1-1-12-2100-202-200201100-1-1000000000-110000
χ3744-4-4440004-4-4-44-40000000000000000000000000000000−2i22i2000000
χ3844-4-4440004-4-4-44-400000000000000000000000000000002i2−2i2000000
χ394-44-444000-444-4-4-400000000000000000000000000000−2i22i200000000
χ404-44-444000-444-4-4-4000000000000000000000000000002i2−2i200000000
χ414-4-4444000-4-4-44-44000000004-400000000000000000000000000000
χ424-4-4444000-4-4-44-4400000000-4400000000000000000000000000000
χ4388-8-82-400024-2-2-4400000000000000000000−2i32i300000000000000000
χ4488-8-82-400024-2-2-44000000000000000000002i3−2i300000000000000000
χ4588-8-8-42000-4-2442-2000000000000000000000023−23000000000000000
χ4688-8-8-42000-4-2442-20000000000000000000000−2323000000000000000
χ478-88-82-4000-2-42-24400000000000000000000000023−230000000000000
χ488-88-82-4000-2-42-244000000000000000000000000−23230000000000000
χ498-88-8-4200042-44-2-2000000000000000000−2i32i30000000000000000000
χ508-88-8-4200042-44-2-20000000000000000002i3−2i30000000000000000000
χ518-8-882-4000-24-224-46-60000000000000000000000000000000000000
χ528-8-882-4000-24-224-4-660000000000000000000000000000000000000
χ538-8-88-420004-24-4-22006-600000000000000000000000000000000000
χ548-8-88-420004-24-4-2200-6600000000000000000000000000000000000

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