Finite Group Databasebeta

← Group #13180855

Character table — Group #13180855

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11222222244444668812121212161616161616161616161616161616161618181818242436363636363636363636365454727272727272144144
order1223366663666644361212121233336666666666666248812122444888242424242461212122424612
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ3111111111111111111111111111111111111111-1-11111-111-11-1-11111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1111-1-11-111-1-1-1-1-1-111-1-111-1-1
χ511-111-1-1111-1-1-11-1111-1-1111111-11111-1-1-1-1-1-1-1-11-1111-1-11-11-11-111-1-1-11-111-11-11-1
χ611-111-1-1111-1-1-11-1111-1-1111111-11111-1-1-1-1-1-1-1-11-1-1-11-11-11-11-11-1-111-111-1-11-111-1
χ711-111-1-1111-1-1-11-1111-1-1111111-11111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1111-1-11-11-11-1-11-11
χ811-111-1-1111-1-1-11-1111-1-1111111-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-11111-1-1-1111-1-11-111-1-11
χ92222222222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200220000000000022000000-1-1
χ102222222222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2002200000000000-2-200000011
χ112222-122-12-1-1-1-1-12222-12-122-1-1-122-1-1-122-1-1-1-1-1-10000-1-12002022000000-1-100-1-100
χ122222-122-12-1-1-1-1-12222-12-122-1-1-122-1-1-122-1-1-1-1-1-10000-1-1-200-20-2-200000011001100
χ13222-12-1-12-1-12-1-1-122222-12-1-12-1-12-12-1-1-1-122-1-1-1-10022-1-10220200-1-1-1-10000-1-10000
χ14222-12-1-12-1-12-1-1-122222-12-1-12-1-12-12-1-1-1-122-1-1-1-100-2-2-1-10-2-20-20011110000110000
χ1522-222-2-2222-2-2-22-22-1-1-2-222-1-1-1-11-1-1-1-1111111112-2002-200000000000-22000000-11
χ1622-222-2-2222-2-2-22-22-1-1-2-222-1-1-1-11-1-1-1-111111111-22002-2000000000002-20000001-1
χ1722-22-1-2-2-12-1111-1-22221-2-122-1-1-1-22-1-1-1-2-21111110000-11200-20-22000000-11001-100
χ1822-22-1-2-2-12-1111-1-22221-2-122-1-1-1-22-1-1-1-2-21111110000-11-200202-20000001-100-1100
χ1922-2-12112-1-1-211-1-2222-212-1-12-1-1-2-12-1-111-2-211110022-1102-20-200-1-1110000-110000
χ2022-2-12112-1-1-211-1-2222-212-1-12-1-1-2-12-1-111-2-2111100-2-2-110-22020011-1-100001-10000
χ2133333333333333-1-100-1-1-1-1000000000000000003311-1-1-1-1-1-11111111-1-1-1-1-1-11100
χ2233333333333333-1-100-1-1-1-10000000000000000033-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-100
χ2333333333333333-1-100-1-1-1-100000000000000000-3-311-1-11-1-111-1-111111111-1-1-1-100
χ2433333333333333-1-100-1-1-1-100000000000000000-3-3-1-1-1-1-111-1-111-1-1-1-111-1-1111100
χ2533-333-3-3333-3-3-331-10011-1-1000000000000000003-311-111-11-1-11-111-1-11-11-1-111-100
χ2633-333-3-3333-3-3-331-10011-1-1000000000000000003-3-1-1-11-11-111-11-1-1111-1-111-1-1100
χ2733-333-3-3333-3-3-331-10011-1-100000000000000000-3311-11-1-111-1-1111-1-1-11-11-11-1100
χ2833-333-3-3333-3-3-331-10011-1-100000000000000000-33-1-1-1111-1-111-1-1-111-111-11-11-100
χ294444-244-24-2-2-2-2-244-2-2-24-24-2111-2-2111-2-21111110000-2-2000000000000000000000
χ30444-24-2-24-2-24-2-2-244-2-24-24-21-211-21-21111-2-211110000-2-2000000000000000000000
χ31444-2-2-2-2-2-21-21114444-2-2-2-2-2-2114-2-211-2-2-2-21111000011000000000000000000000
χ32444-2-2-2-2-2-21-211144-2-2-2-2-2-211−1−3i32−1+3i32-211−1−3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i32000011000000000000000000000
χ33444-2-2-2-2-2-21-211144-2-2-2-2-2-211−1+3i32−1−3i32-211−1+3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i32000011000000000000000000000
χ3444-44-2-4-4-24-2222-2-44-2-22-4-24-21112-211122-1-1-1-1-1-10000-22000000000000000000000
χ3544-4-24224-2-2-422-2-44-2-2-424-21-21121-211-1-122-1-1-1-10000-22000000000000000000000
χ3644-4-2-222-2-212-1-11-444422-2-2-2-211-4-2-2112222-1-1-1-100001-1000000000000000000000
χ3744-4-2-222-2-212-1-11-44-2-222-2-211−1−3i32−1+3i32211−1−3i32−1+3i32-1-1-1-11+3i321+3i321−3i321−3i3200001-1000000000000000000000
χ3844-4-2-222-2-212-1-11-44-2-222-2-211−1+3i32−1−3i32211−1+3i32−1−3i32-1-1-1-11−3i321−3i321+3i321+3i3200001-1000000000000000000000
χ394-404400-4-44000-400-220000-2-2-2-202222000000000022−2200000000022−22000000000000
χ404-404400-4-44000-400-220000-2-2-2-2022220000000000−2222000000000−2222000000000000
χ414-40-24−2i32i3-42-20−2i32i3200-2200001-2110-12-1-1−i3i300−i3i3−i3i30022−22000000000−22i6−i60000000000
χ424-40-24−2i32i3-42-20−2i32i3200-2200001-2110-12-1-1−i3i300−i3i3−i3i300−22220000000002−2−i6i60000000000
χ434-40-242i3−2i3-42-202i3−2i3200-2200001-2110-12-1-1i3−i300i3−i3i3−i30022−22000000000−22−i6i60000000000
χ444-40-242i3−2i3-42-202i3−2i3200-2200001-2110-12-1-1i3−i300i3−i3i3−i300−22220000000002−2i6−i60000000000
χ456666-366-36-3-3-3-3-3-2-2001-21-20000000000000000000001120020-2-2000000-1-1001100
χ466666-366-36-3-3-3-3-3-2-2001-21-200000000000000000000011-200-20220000001100-1-100
χ47666-36-3-36-3-36-3-3-3-2-200-21-21000000000000000000022110-2-20200-1-1-1-10000110000
χ48666-36-3-36-3-36-3-3-3-2-200-21-210000000000000000000-2-2110220-20011110000-1-10000
χ4966-66-3-6-6-36-3333-32-200-121-20000000000000000000001-1200-202-2000000-1100-1100
χ5066-66-3-6-6-36-3333-32-200-121-20000000000000000000001-1-20020-220000001-1001-100
χ5166-6-36336-3-3-633-32-2002-1-210000000000000000000221-10-220-200-1-11100001-10000
χ5266-6-36336-3-3-633-32-2002-1-210000000000000000000-2-21-102-2020011-1-10000-110000
χ538-808800-8-88000-8002-2000022220-2-2-2-200000000000000000000000000000000000
χ548-808-4004-8-40004002-200002-1-1-10-2111003-33-3-33000000000000000000000000000
χ558-808-4004-8-40004002-200002-1-1-10-211100-33-333-3000000000000000000000000000
χ568-808-4004-8-4000400-440000-422204-2-2-200000000000000000000000000000000000
χ578-80-48−4i34i3-84-40−4i34i34002-20000-12-1-101-211i3−i300i3−i3i3−i3000000000000000000000000000
χ588-80-484i3−4i3-84-404i3−4i34002-20000-12-1-101-211−i3i300−i3i3−i3i3000000000000000000000000000
χ598-80-4-4−4i34i344202i3−2i3-2002-20000-1-11−3i321+3i32011−1+3i32−1−3i32i3−i3-333−i32−3+i32−3−i323+i32000000000000000000000000000
χ608-80-4-4−4i34i344202i3−2i3-2002-20000-1-11+3i321−3i32011−1−3i32−1+3i32i3−i33-3−3−i323+i323−i32−3+i32000000000000000000000000000
χ618-80-4-4−4i34i344202i3−2i3-200-44000022-1-10-2-211−2i32i300i3−i3i3−i3000000000000000000000000000
χ628-80-4-44i3−4i34420−2i32i3-2002-20000-1-11−3i321+3i32011−1+3i32−1−3i32−i3i33-3−3+i323−i323+i32−3−i32000000000000000000000000000
χ638-80-4-44i3−4i34420−2i32i3-2002-20000-1-11+3i321−3i32011−1−3i32−1+3i32−i3i3-333+i32−3−i32−3+i323−i32000000000000000000000000000
χ648-80-4-44i3−4i34420−2i32i3-200-44000022-1-10-2-2112i3−2i300−i3i3−i3i3000000000000000000000000000
χ65121212-6-6-6-6-6-63-6333-4-4002222000000000000000000000-1-1000000000000000000000
χ661212-12-6-666-6-636-3-334-400-2-222000000000000000000000-11000000000000000000000

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