Finite Group Databasebeta

← Group #13161328

Character table — Group #13161328

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11222222222222244444444444444444444444444444448888888888888888888888888888888888812122424242424242424242424242424242424363654547272727272108216
order122333334466666333366666666666666666121212121212121212124121212121212121212121212121212121212121212121212121212121212121212128882424242424242424242424242424242424886812242484
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111111-11-1-11-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-11-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-11-1111-1
χ922222222-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-200000000000000002i−2i02i2i2i2i−2i−2i−2i−2i0000000000000000000
χ1022222222-2-222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-20000000000000000−2i2i0−2i−2i−2i−2i2i2i2i2i0000000000000000000
χ112222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002200-12-1-1-100
χ122222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2001-211100
χ132222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1111111111111111100000000000000000002200-1-2-11100
χ142222222-1222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000000-2-200121-1-100
χ152222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-122-1-1-1-1-1-100000000000
χ162222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111-2111-2-211111100000000000
χ172222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-2-2111111-2-222-1-1-1-1-1-1-2-2-2-211111111111122-22-1-1-12-1-1-1-2-211111100000000000
χ182222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12-2-2-2111111-2-222-1-1-1-1-1-1-2-2-2-2111111111111-2-22-2111-211122-1-1-1-1-1-100000000000
χ192222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2-2-2111111-2000−i3−i3−i3i3i3i300-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i32i−2i02i−i−i−i−2iiii00333−3−3−300000000000
χ202222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2-2-2111111-2000−i3−i3−i3i3i3i300-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3−2i2i0−2iiii2i−i−i−i00−3−3−333300000000000
χ212222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2-2-2111111-2000i3i3i3−i3−i3−i300-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i32i−2i02i−i−i−i−2iiii00−3−3−333300000000000
χ222222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2-2-2111111-2000i3i3i3−i3−i3−i300-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−2i2i0−2iiii2i−i−i−i00333−3−3−300000000000
χ23222-12-1-1222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122-1-12-1-12-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222-12-1-1-12-1-1-1-12-1-12-1-100000000000
χ24222-12-1-1222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-122-1-12-1-12-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-21-2111-21111-211-21100000000000
χ25222-12-1-1222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-211-211-211-2-2-1-122-1-1-1-11111-2-21111-2-2111122-2-12-1-1-12-1-111-211-21100000000000
χ26222-12-1-1222-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12-211-211-211-2-2-1-122-1-1-1-11111-2-21111-2-21111-2-221-2111-211-1-12-1-12-1-100000000000
χ27222-12-1-12-2-2-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-211-2-21111-20−i3i30−i3i30−i3i30011-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i32i−2i0−i2i−i−ii−2iii3−303−303−300000000000
χ28222-12-1-12-2-2-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-211-2-21111-20−i3i30−i3i30−i3i30011-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3−2i2i0i−2iii−i2i−i−i−330−330−3300000000000
χ29222-12-1-12-2-2-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-211-2-21111-20i3−i30i3−i30i3−i30011-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i32i−2i0−i2i−i−ii−2iii−330−330−3300000000000
χ30222-12-1-12-2-2-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-211-2-21111-20i3−i30i3−i30i3−i30011-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3−2i2i0i−2iii−i2i−i−i3−303−303−300000000000
χ31222-1-12-1222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-122-1-1-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222-1-12-1-1-12-1-1-1-12-1-1-1200000000000
χ32222-1-12-1222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-122-1-1-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-211-2111-21111-2111-200000000000
χ33222-1-12-1222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2111-2111-2-2-2-1-1-1-122-1-1111111-2-2111111-2-222-2-1-12-1-1-12-1111-2111-200000000000
χ34222-1-12-1222-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12-2111-2111-2-2-2-1-1-1-122-1-1111111-2-2111111-2-2-2-2211-2111-21-1-1-12-1-1-1200000000000
χ35222-1-12-12-2-2-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-21111-2-211-20−i3i3i30−i3−i3i30001111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3002i−2i0−i−i2i−iii−2ii3−3−3033−3000000000000
χ36222-1-12-12-2-2-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-21111-2-211-20−i3i3i30−i3−i3i30001111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300−2i2i0ii−2ii−i−i2i−i−3330−3−33000000000000
χ37222-1-12-12-2-2-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-21111-2-211-20i3−i3−i30i3i3−i30001111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3002i−2i0−i−i2i−iii−2ii−3330−3−33000000000000
χ38222-1-12-12-2-2-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-21111-2-211-20i3−i3−i30i3i3−i30001111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300−2i2i0ii−2ii−i−i2i−i3−3−3033−3000000000000
χ39222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1222-1-1-12-1-1-12-1-1-1-12-12-100000000000
χ40222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2111-2111-21111-21-2100000000000
χ41222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222-21111-21-21-2-2-1-1-1-1-1-12211111111-2-211-2-21122-2-1-1-12-1-1-121111-21-2100000000000
χ42222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222-21111-21-21-2-2-1-1-1-1-1-12211111111-2-211-2-211-2-22111-2111-2-1-1-1-12-12-100000000000
χ43222-1-1-122-2-2-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-2111111-2-2-20−i3i3−i3i30i30−i300111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i32i−2i0−i−i−i2iiii−2i3−33−30−30300000000000
χ44222-1-1-122-2-2-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-2111111-2-2-20−i3i3−i3i30i30−i300111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3−2i2i0iii−2i−i−i−i2i−33−33030−300000000000
χ45222-1-1-122-2-2-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-2111111-2-2-20i3−i3i3−i30−i30i300111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i32i−2i0−i−i−i2iiii−2i−33−33030−300000000000
χ46222-1-1-122-2-2-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-2111111-2-2-20i3−i3i3−i30−i30i300111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3−2i2i0iii−2i−i−i−i2i3−33−30−30300000000000
χ4722-2222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-22-22-22-22-22000000000002-22-22-22-2000000000000000000000000000000000002-20020-20000
χ4822-2222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-22-22-22-22-22000000000002-22-22-22-200000000000000000000000000000000000-2200-2020000
χ4922-222222-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-200000000000-22-22-22-2200000000000000000000000000000000000002200000-20
χ5022-222222-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-222222-22-22-22-22-200000000000-22-22-22-220000000000000000000000000000000000000-2-20000020
χ5122-22222-12-22222-1-1-1-1-1-2-2-2-2111111111-1-1-1-112-22-22-22-2-1000000000−i3i3-11-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000002-200-101−i3i300
χ5222-22222-12-22222-1-1-1-1-1-2-2-2-2111111111-1-1-1-112-22-22-22-2-1000000000−i3i3-11-11-11-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000000-220010-1i3−i300
χ5322-22222-12-22222-1-1-1-1-1-2-2-2-2111111111-1-1-1-112-22-22-22-2-1000000000i3−i3-11-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000002-200-101i3−i300
χ5422-22222-12-22222-1-1-1-1-1-2-2-2-2111111111-1-1-1-112-22-22-22-2-1000000000i3−i3-11-11-11-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000000-220010-1−i3i300
χ554444444-2-4-44444-2-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-22-4-4-4-4-4-4-4-4200000000000222222220000000000000000000000000000000000000000000000
χ564444-2-2-2-2444-2-2-2-2-21114-2-2-2-2-2-2111111-2111-244-2-2-2-2-2-2-2444-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111111111000000000000000000000000000000
χ574444-2-2-2-2444-2-2-2-2-21114-2-2-2-2-2-2111111-2111-244-2-2-2-2-2-2-2-4-4-422222222-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ584444-2-2-2-2-4-44-2-2-2-2-21114-2-2-2-2-2-2111111-21112-4-42222222000−2i3−2i3−2i32i32i32i30022-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000
χ594444-2-2-2-2-4-44-2-2-2-2-21114-2-2-2-2-2-2111111-21112-4-422222220002i32i32i3−2i3−2i3−2i30022-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000000000000000000000
χ60444-24-2-2-244-24-2-2-21-211-24-2-2-211-2-211111-211-2-2-244-2-2-2-2-24-2-24-2-24-2-2-2-211-2-211111111-2-21111-2-21111000000000000000000000000000000
χ61444-24-2-2-244-24-2-2-21-211-24-2-2-211-2-211111-211-2-2-244-2-2-2-2-2-422-422-4222211-2-21111-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000000000000000
χ62444-24-2-2-2-4-4-24-2-2-21-211-24-2-2-211-2-211111-211222-4-4222220−2i32i30−2i32i30−2i32i300-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3000000000000000000000000000000
χ63444-24-2-2-2-4-4-24-2-2-21-211-24-2-2-211-2-211111-211222-4-42222202i3−2i302i3−2i302i3−2i300-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000000
χ64444-2-24-2-244-2-24-2-211-21-2-24-2-21111-2-21111-21-2-2-2-2-244-2-2-24-2-2-24-2-2-24-2-21111-2-211111111-2-2111111-2-2000000000000000000000000000000
χ65444-2-24-2-244-2-24-2-211-21-2-24-2-21111-2-21111-21-2-2-2-2-244-2-2-2-4222-4222-4221111-2-211-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000
χ66444-2-24-2-2-4-4-2-24-2-211-21-2-24-2-21111-2-21111-2122222-4-42220−2i32i32i30−2i3−2i32i3000-1-1-1-122-1-1i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300000000000000000000000000000000
χ67444-2-24-2-2-4-4-2-24-2-211-21-2-24-2-21111-2-21111-2122222-4-422202i3−2i3−2i302i32i3−2i3000-1-1-1-122-1-1−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300000000000000000000000000000000
χ68444-2-2-24-244-2-2-24-2111-2-2-2-24-2111111-2-2111-2-2-2-2-2-2-2-244-24-2-2-2-24-24-2-2-2111111-2-211111111-2-211-2-211000000000000000000000000000000
χ69444-2-2-24-244-2-2-24-2111-2-2-2-24-2111111-2-2111-2-2-2-2-2-2-2-244-2-42222-42-4222111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1000000000000000000000000000000
χ70444-2-2-24-2-4-4-2-2-24-2111-2-2-2-24-2111111-2-2111-22222222-4-420−2i32i3−2i32i302i30−2i300-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3000000000000000000000000000000
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χ974-404444400-4-4-4-4-444440000000000000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000022−220000000
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χ1008-808-4-4-4800-8444-88-4-4-40000000000000-8444000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-808-4-4-4-400-84444-422200000006-66-66-64-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-808-4-4-4-400-84444-42220000000-66-66-664-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-80-48-4-48004-844-8-48-4-400000000000004-844000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1098-80-4-4-48800444-8-8-4-4-480000000000000444-8000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-80-4-4-48-400444-84222-4000006-66-6-6600-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).