Finite Group Databasebeta

← Group #11922920

Character table — Group #11922920

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444466668888888888881212121212121212121216161616161616161616161616161616161636363636727272727272
order122234466644121212121212444433366666666624661212121212121212121212121212121212121212121212128888244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1
χ41111111111-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111
χ511111-1-11111-1-1-111-1-1-1-111111111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-1
χ611111-1-11111-1-1-111-1-1-1-111111111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11
χ711111-1-1111-11-1-1-1-111-1-1111111111111111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11
χ811111-1-1111-11-1-1-1-111-1-1111111111111111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1
χ92222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ102222222222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2111111-1-1-1-1-1-11111110000000000
χ1122222-2-22222-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-22-2-222-2-222111111111111-1-1-1-1-1-10000000000
χ1222222-2-2222-22-2-2-2-222-2-222-1-1-1-1-1-1-1-1-1-1-1-12-22222-2-2-2-2-1-1-1-1-1-11111111111110000000000
χ132222-122-1-1-122-1-1-1-1-1-122222-1-12-1-12-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ142222-122-1-1-122-1-1-1-1-1-12222-12-1-12-1-12-1-12-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-10000000000
χ152222-122-1-1-122-1-1-1-1-1-12222-1-12-1-12-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1220000000000
χ162222-122-1-1-1-2-2-1-1111122222-1-12-1-12-1-12-1-1-2-211-1-1-1-111-2-2111122-1-1-1-1-2-211110000000000
χ172222-122-1-1-1-2-2-1-111112222-12-1-12-1-12-1-12-1-2-211-1-1-1-11111-2-211-1-122-1-111-2-2110000000000
χ182222-122-1-1-1-2-2-1-111112222-1-12-1-12-1-12-1-12-2-211-1-1-1-1111111-2-2-1-1-1-1221111-2-20000000000
χ192222-1-2-2-1-1-12-211-1-111-2-2222-1-12-1-12-1-12-1-1-2211-1-111-1-1-2-21111-2-2111122-1-1-1-10000000000
χ202222-1-2-2-1-1-12-211-1-111-2-222-12-1-12-1-12-1-12-1-2211-1-111-1-111-2-21111-2-211-1-122-1-10000000000
χ212222-1-2-2-1-1-12-211-1-111-2-222-1-12-1-12-1-12-1-12-2211-1-111-1-11111-2-21111-2-2-1-1-1-1220000000000
χ222222-1-2-2-1-1-1-221111-1-1-2-2222-1-12-1-12-1-12-1-12-2-1-1-1-1111122-1-1-1-1-2-21111-2-211110000000000
χ232222-1-2-2-1-1-1-221111-1-1-2-222-12-1-12-1-12-1-12-12-2-1-1-1-11111-1-122-1-111-2-21111-2-2110000000000
χ242222-1-2-2-1-1-1-221111-1-1-2-222-1-12-1-12-1-12-1-122-2-1-1-1-11111-1-1-1-1221111-2-21111-2-20000000000
χ252-22-222i−2i-22-2002i−2i00002i−2i2-2222-2-2-2222-2-2-200002-22i−2i000000002i−2i2i−2i2i−2i0000000000000000
χ262-22-222i−2i-22-2002i−2i00002i−2i2-2-1-1-1111-1-1-111100002-22i−2i00−i3i3−i3i3−i3i3−ii−ii−ii3−33−33−30000000000
χ272-22-222i−2i-22-2002i−2i00002i−2i2-2-1-1-1111-1-1-111100002-22i−2i00i3−i3i3−i3i3−i3−ii−ii−ii−33−33−330000000000
χ282-22-22−2i2i-22-200−2i2i0000−2i2i2-2222-2-2-2222-2-2-200002-2−2i2i00000000−2i2i−2i2i−2i2i0000000000000000
χ292-22-22−2i2i-22-200−2i2i0000−2i2i2-2-1-1-1111-1-1-111100002-2−2i2i00−i3i3−i3i3−i3i3i−ii−ii−i−33−33−330000000000
χ302-22-22−2i2i-22-200−2i2i0000−2i2i2-2-1-1-1111-1-1-111100002-2−2i2i00i3−i3i3−i3i3−i3i−ii−ii−i3−33−33−30000000000
χ312-22-2-12i−2i1-1100−ii3−3−i3i32i−2i2-22-1-1-2112-1-1-21100−i3i3-11−ii3−300−i3i3i3−i32i−2i−ii−ii003−3−330000000000
χ322-22-2-12i−2i1-1100−ii3−3−i3i32i−2i2-2-12-11-21-12-11-2100−i3i3-11−ii3−3i3−i300−i3i3−ii2i−2i−ii−33003−30000000000
χ332-22-2-12i−2i1-1100−ii3−3−i3i32i−2i2-2-1-1211-2-1-1211-200−i3i3-11−ii3−3−i3i3i3−i300−ii−ii2i−2i3−3−33000000000000
χ342-22-2-12i−2i1-1100−ii−33i3−i32i−2i2-22-1-1-2112-1-1-21100i3−i3-11−ii−3300i3−i3−i3i32i−2i−ii−ii00−333−30000000000
χ352-22-2-12i−2i1-1100−ii−33i3−i32i−2i2-2-12-11-21-12-11-2100i3−i3-11−ii−33−i3i300i3−i3−ii2i−2i−ii3−300−330000000000
χ362-22-2-12i−2i1-1100−ii−33i3−i32i−2i2-2-1-1211-2-1-1211-200i3−i3-11−ii−33i3−i3−i3i300−ii−ii2i−2i−333−3000000000000
χ372-22-2-1−2i2i1-1100i−i3−3i3−i3−2i2i2-22-1-1-2112-1-1-21100i3−i3-11i−i3−300i3−i3−i3i3−2i2ii−ii−i003−3−330000000000
χ382-22-2-1−2i2i1-1100i−i3−3i3−i3−2i2i2-2-12-11-21-12-11-2100i3−i3-11i−i3−3−i3i300i3−i3i−i−2i2ii−i−33003−30000000000
χ392-22-2-1−2i2i1-1100i−i3−3i3−i3−2i2i2-2-1-1211-2-1-1211-200i3−i3-11i−i3−3i3−i3−i3i300i−ii−i−2i2i3−3−33000000000000
χ402-22-2-1−2i2i1-1100i−i−33−i3i3−2i2i2-22-1-1-2112-1-1-21100−i3i3-11i−i−3300−i3i3i3−i3−2i2ii−ii−i00−333−30000000000
χ412-22-2-1−2i2i1-1100i−i−33−i3i3−2i2i2-2-12-11-21-12-11-2100−i3i3-11i−i−33i3−i300−i3i3i−i−2i2ii−i3−300−330000000000
χ422-22-2-1−2i2i1-1100i−i−33−i3i3−2i2i2-2-1-1211-2-1-1211-200−i3i3-11i−i−33−i3i3i3−i300i−ii−i−2i2i−333−3000000000000
χ43333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-111
χ44333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111-1-1
χ453333333333-3-333-3-3-3-3-1-1-1-10000000000001111-1-1-1-11100000000000000000011111-1-11-1-1
χ463333333333-3-333-3-3-3-3-1-1-1-10000000000001111-1-1-1-111000000000000000000-1-1-1-1-111-111
χ4733333-3-33333-3-3-333-3-311-1-10000000000001-111-1-111-1-100000000000000000011-1-1-1-1111-1
χ4833333-3-33333-3-3-333-3-311-1-10000000000001-111-1-111-1-1000000000000000000-1-11111-1-1-11
χ4933333-3-3333-33-3-3-3-33311-1-1000000000000-11-1-1-1-1111100000000000000000011-1-11-11-1-11
χ5033333-3-3333-33-3-3-3-33311-1-1000000000000-11-1-1-1-11111000000000000000000-1-111-11-111-1
χ5144-4-44004-4-4000000000000-2-2-2222222-2-2-200000000000000000000000000000022−22000000
χ5244-4-44004-4-4000000000000-2-2-2222222-2-2-2000000000000000000000000000000−2222000000
χ534-4-44400-4-44000000000000-2-2-2-2-2-2222222000000000000000000000000000022−2200000000
χ544-4-44400-4-44000000000000-2-2-2-2-2-22222220000000000000000000000000000−222200000000
χ556666-366-3-3-366-3-3-3-3-3-3-2-2-2-2000000000000-2-2111111110000000000000000000000000000
χ566666-366-3-3-3-6-6-3-33333-2-2-2-200000000000022-1-11111-1-10000000000000000000000000000
χ576666-3-6-6-3-3-36-633-3-33322-2-20000000000002-2-1-111-1-1110000000000000000000000000000
χ586666-3-6-6-3-3-3-663333-3-322-2-2000000000000-221111-1-1-1-10000000000000000000000000000
χ596-66-666i−6i-66-6006i−6i0000−2i2i-220000000000000000-22−2i2i000000000000000000000000000000
χ606-66-66−6i6i-66-600−6i6i00002i−2i-220000000000000000-222i−2i000000000000000000000000000000
χ616-66-6-36i−6i3-3300−3i3i33−33−3i33i3−2i2i-2200000000000000i3−i31-1i−i−330000000000000000000000000000
χ626-66-6-36i−6i3-3300−3i3i−33333i3−3i3−2i2i-2200000000000000−i3i31-1i−i3−30000000000000000000000000000
χ636-66-6-3−6i6i3-33003i−3i33−333i3−3i32i−2i-2200000000000000−i3i31-1−ii−330000000000000000000000000000
χ646-66-6-3−6i6i3-33003i−3i−3333−3i33i32i−2i-2200000000000000i3−i31-1−ii3−30000000000000000000000000000
χ6588-8-88008-8-8000000000000222-2-2-2-2-2-222200000000000000000000000000000000000000
χ6688-8-8-400-44400000000000022-4-2-24-2-2422-400000000000000000000000000000000000000
χ6788-8-8-400-4440000000000002-42-24-2-24-22-4200000000000000000000000000000000000000
χ6888-8-8-400-444000000000000-4224-2-24-2-2-42200000000000000000000000000000000000000
χ698-8-88800-8-88000000000000222222-2-2-2-2-2-200000000000000000000000000000000000000
χ708-8-88-40044-400000000000022-422-4-2-24-2-2400000000000000000000000000000000000000
χ718-8-88-40044-40000000000002-422-42-24-2-24-200000000000000000000000000000000000000
χ728-8-88-40044-4000000000000-422-4224-2-24-2-200000000000000000000000000000000000000

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