Finite Group Databasebeta

← Group #11762162

Character table — Group #11762162

Order 1080.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1222224444458888888888888101010101015152020202027303030303030303045459090108135
order133333333352151515151515151515151515156666644666621212121212121212441212102
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-111111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111-11111111111111-1-1-1-1-1i−i-1-1-1-11iiii−i−i−i−ii−ii−i1-1
χ611111111111-11111111111111-1-1-1-1-1i−i-1-1-1-1-1iiii−i−i−i−i−ii−ii-11
χ711111111111-11111111111111-1-1-1-1-1−ii-1-1-1-11−i−i−i−iiiii−ii−ii1-1
χ811111111111-11111111111111-1-1-1-1-1−ii-1-1-1-1-1−i−i−i−iiiiii−ii−i-11
χ922222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-100-1-1-1-100000000022-1-100
χ1022222-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-100-1-1-1-1000000000-2-21100
χ1122222-1-1-1-1-12-22222-1-1-1-1-1-1-1-1-1-2-2-2-210011110000000002i−2i−ii00
χ1222222-1-1-1-1-12-22222-1-1-1-1-1-1-1-1-1-2-2-2-21001111000000000−2i2ii−i00
χ1322-1-1-122-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-12222-1-1-102-1-1-12-1-1-1000000
χ1422-1-1-122-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-12-2-22-1-1-10-2111-2111000000
χ1522-1-1-122-1-1-12-22-1-1-1222-1-1-1-1-1-1-2111-22i−2i-211102i−i−i−i−2iiii000000
χ1622-1-1-122-1-1-12-22-1-1-1222-1-1-1-1-1-1-2111-2−2i2i-21110−2iiii2i−i−i−i000000
χ172-12-1-12-12-1-122-12-1-12-1-122-1-1-1-1-12-1-1222-12-1-10-12-1-1-12-1-1000000
χ182-12-1-12-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-2-2-12-1-101-2111-211000000
χ192-12-1-12-12-1-12-2-12-1-12-1-122-1-1-1-11-211-22i−2i1-2110−i2i−i−ii−2iii000000
χ202-12-1-12-12-1-12-2-12-1-12-1-122-1-1-1-11-211-2−2i2i1-2110i−2iii−i2i−i−i000000
χ212-1-12-12-1-12-122-1-12-12-1-1-1-122-1-1-1-12-1222-1-12-10-1-12-1-1-12-1000000
χ222-1-12-12-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-2-2-1-12-1011-2111-21000000
χ232-1-12-12-1-12-12-2-1-12-12-1-1-1-122-1-111-21-22i−2i11-210−i−i2i−iii−2ii000000
χ242-1-12-12-1-12-12-2-1-12-12-1-1-1-122-1-111-21-2−2i2i11-210ii−2ii−i−i2i−i000000
χ252-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-12222-1-1-120-1-1-12-1-1-12000000
χ262-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-2-2-1-1-120111-2111-2000000
χ272-1-1-122-1-1-122-2-1-1-122-1-1-1-1-1-122111-2-22i−2i111-20−i−i−i2iiii−2i000000
χ282-1-1-122-1-1-122-2-1-1-122-1-1-1-1-1-122111-2-2−2i2i111-20iii−2i−i−i−i2i000000
χ294444444444-10-1-1-1-1-1-1-1-1-1-1-1-1-1000000000004000000000000-10
χ304444444444-10-1-1-1-1-1-1-1-1-1-1-1-1-100000000000-400000000000010
χ3144-2-2-2-2-2111444-2-2-2-2-2-21111114-2-2-2-200-2111000000000000000
χ3244-2-2-2-2-21114-44-2-2-2-2-2-2111111-42222002-1-1-1000000000000000
χ334-24-2-2-21-21144-24-2-2-211-2-21111-24-2-2-2001-211000000000000000
χ344-24-2-2-21-2114-4-24-2-2-211-2-211112-422200-12-1-1000000000000000
χ354-2-24-2-211-2144-2-24-2-21111-2-211-2-24-2-20011-21000000000000000
χ364-2-24-2-211-214-4-2-24-2-21111-2-21122-42200-1-12-1000000000000000
χ374-2-2-24-2111-244-2-2-24-2111111-2-2-2-2-24-200111-2000000000000000
χ384-2-2-24-2111-24-4-2-2-24-2111111-2-2222-4200-1-1-12000000000000000
χ3988888-4-4-4-4-4-20-2-2-2-211111111100000000000000000000000000
χ4088-4-4-488-4-4-4-20-2111-2-2-211111100000000000000000000000000
χ4188-4-4-4-4-4222-20-2111111−1+352−1−352−1+352−1−352−1+352−1−35200000000000000000000000000
χ4288-4-4-4-4-4222-20-2111111−1−352−1+352−1−352−1+352−1−352−1+35200000000000000000000000000
χ438-48-4-48-48-4-4-201-211-211-2-2111100000000000000000000000000
χ448-48-4-4-42-422-201-2111−1+352−1−35211−1+352−1−352−1−352−1+35200000000000000000000000000
χ458-48-4-4-42-422-201-2111−1−352−1+35211−1−352−1+352−1+352−1−35200000000000000000000000000
χ468-4-48-48-4-48-4-2011-21-21111-2-21100000000000000000000000000
χ478-4-48-4-422-42-2011-211−1+352−1−352−1−352−1+35211−1+352−1−35200000000000000000000000000
χ488-4-48-4-422-42-2011-211−1−352−1+352−1+352−1−35211−1−352−1+35200000000000000000000000000
χ498-4-4-488-4-4-48-20111-2-2111111-2-200000000000000000000000000
χ508-4-4-48-4222-4-20111-21−1+352−1−352−1+352−1−352−1−352−1+3521100000000000000000000000000
χ518-4-4-48-4222-4-20111-21−1−352−1+352−1−352−1+352−1+352−1−3521100000000000000000000000000

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