Finite Group Databasebeta

← Group #91900

Character table — Group #91900

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size136681366826121216261212162612121626121216515303040515303040
order122432224651010201551010201510101020301010102030444412444412
χ11111111111111111111111111111111111111111
χ211-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-1111-1-11
χ32200-12200-12200-12200-12200-12200-12200-12200-1
χ43-11-103-11-103-11-103-11-103-11-103-11-103-11-103-11-10
χ53-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ711-1-1111-1-1111-1-1111-1-1111-1-1111-1-11-1-111-1-1-111-1
χ82200-12200-12200-12200-12200-12200-1-2-2001-2-2001
χ93-11-103-11-103-11-103-11-103-11-103-11-10-31-110-31-110
χ103-1-1103-1-1103-1-1103-1-1103-1-1103-1-110-311-10-311-10
χ1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiiii−i−i−i−i−i
χ1211-1-11-1-111-111-1-1111-1-11-1-111-1-1-111-1ii−i−ii−i−iii−i
χ132200-1-2-20012200-12200-1-2-2001-2-20012i2i00−i−2i−2i00i
χ143-11-10-31-1103-11-103-11-10-31-110-31-1103i−ii−i0−3ii−ii0
χ153-1-110-311-103-1-1103-1-110-311-10-311-103i−i−ii0−3iii−i0
χ1611111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−iiiiii
χ1711-1-11-1-111-111-1-1111-1-11-1-111-1-1-111-1−i−iii−iii−i−ii
χ182200-1-2-20012200-12200-1-2-2001-2-2001−2i−2i00i2i2i00−i
χ193-11-10-31-1103-11-103-11-10-31-110-31-110−3ii−ii03i−ii−i0
χ203-1-110-311-103-1-1103-1-110-311-10-311-10−3iii−i03i−i−ii0
χ212222222222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000000000
χ2222-2-2222-2-22−1+52−1+521−521−52−1+52−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+52−1−52−1−521+521+52−1−520000000000
χ234400-24400-2−1+5−1+5001−52−1−5−1−5001+52−1+5−1+5001−52−1−5−1−5001+520000000000
χ246-22-206-22-20−3+3521−52−1+521−520−3−3521+52−1−521+520−3+3521−52−1+521−520−3−3521+52−1−521+5200000000000
χ256-2-2206-2-220−3+3521−521−52−1+520−3−3521+521+52−1−520−3+3521−521−52−1+520−3−3521+521+52−1−5200000000000
χ262222222222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000000000
χ2722-2-2222-2-22−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+52−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+520000000000
χ284400-24400-2−1−5−1−5001+52−1+5−1+5001−52−1−5−1−5001+52−1+5−1+5001−520000000000
χ296-22-206-22-20−3−3521+52−1−521+520−3+3521−52−1+521−520−3−3521+52−1−521+520−3+3521−52−1+521−5200000000000
χ306-2-2206-2-220−3−3521+521+52−1−520−3+3521−521−52−1+520−3−3521+521+52−1−520−3+3521−521−52−1+5200000000000
χ3122222-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521+521+521+521+521+520000000000
χ3222-2-22-2-222-2−1+52−1+521−521−52−1+52−1−52−1−521+521+52−1−521−521−52−1+52−1+521−521+521+52−1−52−1−521+520000000000
χ334400-2-4-4002−1+5−1+5001−52−1−5−1−5001+521−51−500−1+521+51+500−1−520000000000
χ346-22-20-62-220−3+3521−52−1+521−520−3−3521+52−1−521+5203−352−1+521−52−1+5203+352−1−521+52−1−5200000000000
χ356-2-220-622-20−3+3521−521−52−1+520−3−3521+521+52−1−5203−352−1+52−1+521−5203+352−1−52−1−521+5200000000000
χ3622222-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521−521−521−521−521−520000000000
χ3722-2-22-2-222-2−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+521+521+52−1−52−1−521+521−521−52−1+52−1+521−520000000000
χ384400-2-4-4002−1−5−1−5001+52−1+5−1+5001−521+51+500−1−521−51−500−1+520000000000
χ396-22-20-62-220−3−3521+52−1−521+520−3+3521−52−1+521−5203+352−1−521+52−1−5203−352−1+521−52−1+5200000000000
χ406-2-220-622-20−3−3521+521+52−1−520−3+3521−521−52−1+5203+352−1−52−1−521+5203−352−1+52−1+521−5200000000000

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