Finite Group Databasebeta

← Group #13166120

Character table — Group #13166120

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1223466669121212121212121212121216162424273232323236364848484854546464727296969696144144
order13323446622261212121212121212336623333226666443366666666
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ3111111111111111111111−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ41111111111-1-111111111111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ51111111111-1-1111111111−1−i32−1+i32-1-11−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32
χ61111111111-1-1111111111−1+i32−1−i32-1-11−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32
χ7111111111-11-1111111111111-1-111111-11-11-1-1-1111-11-11-1-1-1
χ8111111111-11-1111111111−1−i32−1+i321-1-1−1−i32−1−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32-1-1−1−i32−1+i321-1−1−i321+i32−1+i321−i321+i321−i32
χ9111111111-11-1111111111−1+i32−1−i321-1-1−1+i32−1+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32-1-1−1+i32−1−i321-1−1+i321−i32−1−i321+i321−i321+i32
χ10111111111-1-1111111111111-11-11111-11-11-11-1-111-11-11-11-1-1
χ11111111111-1-11111111111−1−i32−1+i32-11-1−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32-1-1−1−i32−1+i32-111+i32−1−i321−i32−1+i321+i321−i32
χ12111111111-1-11111111111−1+i32−1−i32-11-1−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32-1-1−1+i32−1−i32-111−i32−1+i321+i32−1−i321−i321+i32
χ1322-12-1222-1002-122-1-1-1-1-1-1220-102-12-102020200-1-10-10-10-100
χ1422-12-1222-1002-122-1-1-1-1-1-1−1−i3−1+i30-10−1−i31+i32−1+i31−i32020−1−i30−1+i3001+i321−i320-101+i3201−i3200
χ1522-12-1222-1002-122-1-1-1-1-1-1−1+i3−1−i30-10−1+i31−i32−1−i31+i32020−1+i30−1−i3001−i321+i320-101−i3201+i3200
χ1622-12-1222-100-2-122-1-1-1-1-1-1220102-12-10-20-20-200-1-101010100
χ1722-12-1222-100-2-122-1-1-1-1-1-1−1−i3−1+i3010−1−i31+i32−1+i31−i320-201+i301−i3001+i321−i32010−1−i320−1+i3200
χ1822-12-1222-100-2-122-1-1-1-1-1-1−1+i3−1−i3010−1+i31−i32−1−i31+i320-201−i301+i3001−i321+i32010−1+i320−1−i3200
χ192-122-122-12020-1-1-122-1-1-1-122-100-12-1220202000-1-1-10-10-1000
χ202-122-122-12020-1-1-122-1-1-1-1−1−i3−1+i3-1001+i32−1−i31−i32−1+i320−1−i30−1+i30001+i321−i32-101+i3201−i32000
χ212-122-122-12020-1-1-122-1-1-1-1−1+i3−1−i3-1001−i32−1+i31+i32−1−i320−1+i30−1−i30001−i321+i32-101−i3201+i32000
χ222-122-122-120-20-1-1-122-1-1-1-122100-12-12-20-20-2000-1-110101000
χ232-122-122-120-20-1-1-122-1-1-1-1−1−i3−1+i31001+i32−1−i31−i32−1+i3-201+i301−i30001+i321−i3210−1−i320−1+i32000
χ242-122-122-120-20-1-1-122-1-1-1-1−1+i3−1−i31001−i32−1+i31+i32−1−i3-201−i301+i30001−i321+i3210−1+i320−1−i32000
χ2533333-1-1333333-1-1-1-1-1-1-1-1003330000-1-10000-1-100-1-1000000
χ2633333-1-1333-3-33-1-1-1-1-1-1-1-100-3-330000110000-1-10011000000
χ2733333-1-133-33-33-1-1-1-1-1-1-1-1003-3-30000-1100001100-11000000
χ2833333-1-133-3-333-1-1-1-1-1-1-1-100-33-300001-1000011001-1000000
χ294-2-24144-2-20001-2-2-2-2111144000-2-2-2-2000000001100000000
χ304-2-24144-2-20001-2-2-2-21111−2−2i3−2+2i30001+i31+i31−i31−i300000000−1−i32−1+i3200000000
χ314-2-24144-2-20001-2-2-2-21111−2+2i3−2−2i30001−i31−i31+i31+i300000000−1+i32−1−i3200000000
χ32666-262-2-2-2600-22-22-222-2-20000-200000000002-20000000000
χ33666-262-2-2-2-600-22-22-222-2-2000020000000000-220000000000
χ34666-26-22-2-2600-2-22-22-2-2220000-20000000000-220000000000
χ35666-26-22-2-2-600-2-22-22-2-2220000200000000002-20000000000
χ3666-36-3-2-26-3006-3-2-2111111000-3000000-20000000001000000
χ3766-36-3-2-26-300-6-3-2-211111100030000002000000000-1000000
χ386-366-3-2-2-36060-311-2-2111100-3000000-200000000010000000
χ396-366-3-2-2-360-60-311-2-211110030000002000000000-10000000
χ401212-6-4-64-4-4200024-4-22-2-222000000000000000000000000000
χ411212-6-4-6-44-420002-442-222-2-2000000000000000000000000000
χ4212-612-4-64-42-40002-224-4-2-222000000000000000000000000000
χ4312-612-4-6-442-400022-2-4422-2-2000000000000000000000000000
χ4412-6-6123-4-4-6-600032222-1-1-1-1000000000000000000000000000
χ4512-6-6-434-422000-1-22-2211−1+6i−1−6i000000000000000000000000000
χ4612-6-6-434-422000-1-22-2211−1−6i−1+6i000000000000000000000000000
χ4712-6-6-43-4422000-12-22-2−1+6i−1−6i11000000000000000000000000000
χ4812-6-6-43-4422000-12-22-2−1−6i−1+6i11000000000000000000000000000

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