Finite Group Databasebeta

← Group #11921365

Character table — Group #11921365

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11223366121212121212121216161616323232323636484848481122336612121212121212121616161632323232363648484848
order12362266224412121212336633664466662266226622441212121266666666446666
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ31111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ411111111-1-111111111111111-1-1-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1
χ511111111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211111111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32
χ611111111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211111111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32
χ722-1-122-1-10022-1-1-1-12222-1-1-1-100000022-1-122-1-10022-1-1-1-12222-1-1-1-1000000
χ822-1-122-1-10022-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i3200000022-1-122-1-10022-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000
χ922-1-122-1-10022-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i3200000022-1-122-1-10022-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000
χ102-22-22-22-22-2000000-1-111-1-111001-11-12-22-22-22-22-2000000-1-111-1-111001-11-1
χ112-22-22-22-22-20000001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200−1−i321+i32−1+i321−i322-22-22-22-22-20000001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200−1−i321+i32−1+i321−i32
χ122-22-22-22-22-20000001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3200−1+i321−i32−1−i321+i322-22-22-22-22-20000001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3200−1+i321−i32−1−i321+i32
χ132-22-22-22-2-22000000-1-111-1-11100-11-112-22-22-22-2-22000000-1-111-1-11100-11-11
χ142-22-22-22-2-220000001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32001+i32−1−i321−i32−1+i322-22-22-22-2-220000001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32001+i32−1−i321−i32−1+i32
χ152-22-22-22-2-220000001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32001−i32−1+i321+i32−1−i322-22-22-22-2-220000001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32001−i32−1+i321+i32−1−i32
χ163333333333-1-1-1-1-1-100000000-1-100003333333333-1-1-1-1-1-100000000-1-10000
χ1733333333-3-3-1-1-1-1-1-10000000011000033333333-3-3-1-1-1-1-1-100000000110000
χ184-4-224-4-2200000000-2-22211-1-10000004-4-224-4-2200000000-2-22211-1-1000000
χ194-4-224-4-22000000001+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i320000004-4-224-4-22000000001+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i32000000
χ204-4-224-4-22000000001−i31+i3−1+i3−1−i3−1+i32−1−i321−i321+i320000004-4-224-4-22000000001−i31+i3−1+i3−1−i3−1+i32−1−i321−i321+i32000000
χ216666-2-2-2-2002-222-2-2000000000000006666-2-2-2-2002-222-2-200000000000000
χ226666-2-2-2-200-22-2-222000000000000006666-2-2-2-200-22-2-22200000000000000
χ2366-3-366-3-300-2-211110000000000000066-3-366-3-300-2-2111100000000000000
χ2466-3-3-2-211002-2−1−2i3−1+2i3110000000000000066-3-3-2-211002-2−1−2i3−1+2i31100000000000000
χ2566-3-3-2-211002-2−1+2i3−1−2i3110000000000000066-3-3-2-211002-2−1+2i3−1−2i31100000000000000
χ2666-3-3-2-21100-2211−1−2i3−1+2i30000000000000066-3-3-2-21100-2211−1−2i3−1+2i300000000000000
χ2766-3-3-2-21100-2211−1+2i3−1−2i30000000000000066-3-3-2-21100-2211−1+2i3−1−2i300000000000000
χ286-66-6-22-2200000000000000002i−2i00006-66-6-22-2200000000000000002i−2i0000
χ296-66-6-22-220000000000000000−2i2i00006-66-6-22-220000000000000000−2i2i0000
χ3012-12-66-442-2000000000000000000000012-12-66-442-20000000000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321+i321−i321−i32
χ331111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321−i321+i321+i32
χ3411111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3511111111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-111-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32
χ3611111111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-111-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32
χ3722-1-122-1-10022-1-1-1-12222-1-1-1-1000000-2-211-2-21100-2-21111-2-2-2-21111000000
χ3822-1-122-1-10022-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i321+i321−i32000000-2-211-2-21100-2-211111+i31−i31+i31−i3−1−i32−1+i32−1−i32−1+i32000000
χ3922-1-122-1-10022-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i321−i321+i32000000-2-211-2-21100-2-211111−i31+i31−i31+i3−1+i32−1−i32−1+i32−1−i32000000
χ402-22-22-22-22-2000000-1-111-1-111001-11-1-22-22-22-22-2200000011-1-111-1-100-11-11
χ412-22-22-22-22-20000001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3200−1−i321+i32−1+i321−i32-22-22-22-22-22000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32001+i32−1−i321−i32−1+i32
χ422-22-22-22-22-20000001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3200−1+i321−i32−1−i321+i32-22-22-22-22-22000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32001−i32−1+i321+i32−1−i32
χ432-22-22-22-2-22000000-1-111-1-11100-11-11-22-22-22-222-200000011-1-111-1-1001-11-1
χ442-22-22-22-2-220000001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32001+i32−1−i321−i32−1+i32-22-22-22-222-2000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3200−1−i321+i32−1+i321−i32
χ452-22-22-22-2-220000001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32001−i32−1+i321+i32−1−i32-22-22-22-222-2000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3200−1+i321−i32−1−i321+i32
χ463333333333-1-1-1-1-1-100000000-1-10000-3-3-3-3-3-3-3-3-3-311111100000000110000
χ4733333333-3-3-1-1-1-1-1-100000000110000-3-3-3-3-3-3-3-33311111100000000-1-10000
χ484-4-224-4-2200000000-2-22211-1-1000000-442-2-442-20000000022-2-2-1-111000000
χ494-4-224-4-22000000001+i31−i3−1−i3−1+i3−1−i32−1+i321+i321−i32000000-442-2-442-200000000−1−i3−1+i31+i31−i31+i321−i32−1−i32−1+i32000000
χ504-4-224-4-22000000001−i31+i3−1+i3−1−i3−1+i32−1−i321−i321+i32000000-442-2-442-200000000−1+i3−1−i31−i31+i31−i321+i32−1+i32−1−i32000000
χ516666-2-2-2-2002-222-2-200000000000000-6-6-6-6222200-22-2-22200000000000000
χ526666-2-2-2-200-22-2-22200000000000000-6-6-6-62222002-222-2-200000000000000
χ5366-3-366-3-300-2-2111100000000000000-6-633-6-6330022-1-1-1-100000000000000
χ5466-3-3-2-211002-2−1−2i3−1+2i31100000000000000-6-63322-1-100-221+2i31−2i3-1-100000000000000
χ5566-3-3-2-211002-2−1+2i3−1−2i31100000000000000-6-63322-1-100-221−2i31+2i3-1-100000000000000
χ5666-3-3-2-21100-2211−1−2i3−1+2i300000000000000-6-63322-1-1002-2-1-11+2i31−2i300000000000000
χ5766-3-3-2-21100-2211−1+2i3−1−2i300000000000000-6-63322-1-1002-2-1-11−2i31+2i300000000000000
χ586-66-6-22-2200000000000000002i−2i0000-66-662-22-20000000000000000−2i2i0000
χ596-66-6-22-220000000000000000−2i2i0000-66-662-22-200000000000000002i−2i0000
χ6012-12-66-442-20000000000000000000000-12126-64-4-220000000000000000000000

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