Finite Group Databasebeta

← Group #11922421

Character table — Group #11922421

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222666666666688881212121212121212121212121212121212161616161616161616162424242424363636363636484848487272
order12223446661212121222444488883666244668812122424242424242424366612121212121241212121244888866121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1-1-11111-1-1
χ311111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-111
χ511111-1-1111-1-1-1-111-1-11111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-11
χ611111-1-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1111-111-1-111-1-11-1
χ711111-1-1111-1-1-1-1-1-1111111111111-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1111-1-1-1-1111-1
χ811111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-111-11-1-111-1-111-11
χ9222222222222222222220000-1-1-1-120022002200000000-1-1-1-1-1-1-1-1-1-100000220000-1-1-1-100
χ1022222222222222-2-2-2-2220000-1-1-1-120022002200000000-1-1-1-1-1-1-1-1-1-100000-2-20000111100
χ1122222-2-2222-2-2-2-222-2-2220000-1-1-1-1-200-2-2002200000000-1-1-1-1111111000002-20000-1-11100
χ1222222-2-2222-2-2-2-2-2-222220000-1-1-1-1-200-2-2002200000000-1-1-1-111111100000-22000011-1-100
χ132222-122-1-1-1-1-1-1-100002222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1000000000000
χ142222-122-1-1-1-1-1-1-1000022-2-2-2-222222-2-2-1-1-2-2-1-111111111-1-1-1-122-1-1-1-1-21111000000000000
χ152222-1-2-2-1-1-1111100002222222222-22211-2-2-1-1-1-1-1-11111-1-1-1-1-2-21111-2-1-111000000000000
χ162222-1-2-2-1-1-11111000022-2-2-2-22222-2-2-21122-1-11111-1-1-1-1-1-1-1-1-2-21111211-1-1000000000000
χ1722-2-22002-2-2000000002-22i2i−2i−2i2-22-202i−2i00002-22i2i−2i−2i00002-2-2200000002i−2i00000000000000
χ1822-2-22002-2-2000000002-2−2i−2i2i2i2-22-20−2i2i00002-2−2i−2i2i2i00002-2-220000000−2i2i00000000000000
χ1922-2-2-100-111−i3−i3i3i300002-22i2i−2i−2i2-22-202i−2i−i3i300-11−i−iii33−3−3-111-100−i3−i3i3i30−ii3−3000000000000
χ2022-2-2-100-111−i3−i3i3i300002-2−2i−2i2i2i2-22-20−2i2i−i3i300-11ii−i−i−3−333-111-100−i3−i3i3i30i−i−33000000000000
χ2122-2-2-100-111i3i3−i3−i300002-22i2i−2i−2i2-22-202i−2ii3−i300-11−i−iii−3−333-111-100i3i3−i3−i30−ii−33000000000000
χ2222-2-2-100-111i3i3−i3−i300002-2−2i−2i2i2i2-22-20−2i2ii3−i300-11ii−i−i33−3−3-111-100i3i3−i3−i30i−i3−3000000000000
χ232-22-222i−2i-22-22i−2i2i−2i2-22i−2i002−22−2-1-11100000−i2i2002−22−2−i2i2−i2i2-11-11i−ii−ii−i0000000−i2i22−21-1i−i00
χ242-22-222i−2i-22-22i−2i2i−2i2-22i−2i00−22−22-1-11100000i2−i200−22−22i2−i2i2−i2-11-11i−ii−ii−i0000000i2−i2−221-1i−i00
χ252-22-222i−2i-22-22i−2i2i−2i-22−2i2i002−22−2-1-11100000−i2i2002−22−2−i2i2−i2i2-11-11i−ii−ii−i0000000i2−i2−22-11−ii00
χ262-22-222i−2i-22-22i−2i2i−2i-22−2i2i00−22−22-1-11100000i2−i200−22−22i2−i2i2−i2-11-11i−ii−ii−i0000000−i2i22−2-11−ii00
χ272-22-22−2i2i-22-2−2i2i−2i2i2-2−2i2i002−22−2-1-11100000i2−i2002−22−2i2−i2i2−i2-11-11−ii−ii−ii0000000i2−i22−21-1−ii00
χ282-22-22−2i2i-22-2−2i2i−2i2i2-2−2i2i00−22−22-1-11100000−i2i200−22−22−i2i2−i2i2-11-11−ii−ii−ii0000000−i2i2−221-1−ii00
χ292-22-22−2i2i-22-2−2i2i−2i2i-222i−2i002−22−2-1-11100000i2−i2002−22−2i2−i2i2−i2-11-11−ii−ii−ii0000000−i2i2−22-11i−i00
χ302-22-22−2i2i-22-2−2i2i−2i2i-222i−2i00−22−22-1-11100000−i2i200−22−22−i2i2−i2i2-11-11−ii−ii−ii0000000i2−i22−2-11i−i00
χ31333333333333333333-1-111110000-1-1-1-1-111-1-1111111110000000000-1-1-1-1-1-1-111110000-1-1
χ32333333333333333333-1-1-1-1-1-10000-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1-1-1-1-1000011
χ3333333333333333-3-3-3-3-1-111110000-1-1-1-1-111-1-1111111110000000000-1-1-1-1-111-1-1-1-1000011
χ3433333333333333-3-3-3-3-1-1-1-1-1-10000-111-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111111110000-1-1
χ3533333-3-3333-3-3-3-333-3-3-1-1111100001-1-111-1-1-1-11111-1-1-1-100000000001-1-111-11-1-11100001-1
χ3633333-3-3333-3-3-3-333-3-3-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-111-1-1-1111-1-10000-11
χ3733333-3-3333-3-3-3-3-3-333-1-1111100001-1-111-1-1-1-11111-1-1-1-100000000001-1-1111-111-1-10000-11
χ3833333-3-3333-3-3-3-3-3-333-1-1-1-1-1-100001111111-1-1-1-1-1-111110000000000-111-1-11-1-1-11100001-1
χ394444-244-2-2-2-2-2-2-20000440000-2-2-2-2400-2-200-2-2000000001111-2-2111100000000000000000
χ404444-2-4-4-2-2-222220000440000-2-2-2-2-4002200-2-200000000111122-1-1-1-100000000000000000
χ4144-4-44004-4-4000000004-40000-22-2200000004-400000000-222-200000000000000000000000
χ4244-4-4-200-222−2i3−2i32i32i300004-40000-22-22000−2i32i300-22000000001-1-1100i3i3−i3−i300000000000000000
χ4344-4-4-200-2222i32i3−2i3−2i300004-40000-22-220002i3−2i300-22000000001-1-1100−i3−i3i3i300000000000000000
χ444-44-444i−4i-44-44i−4i4i−4i4-44i−4i00000011-1-1000000000000000001-11-1−ii−ii−ii00000000000-11−ii00
χ454-44-444i−4i-44-44i−4i4i−4i-44−4i4i00000011-1-1000000000000000001-11-1−ii−ii−ii000000000001-1i−i00
χ464-44-44−4i4i-44-4−4i4i−4i4i4-4−4i4i00000011-1-1000000000000000001-11-1i−ii−ii−i00000000000-11i−i00
χ474-44-44−4i4i-44-4−4i4i−4i4i-444i−4i00000011-1-1000000000000000001-11-1i−ii−ii−i000000000001-1−ii00
χ484-44-4-24i−4i2-22−2i2i−2i2i00000022−2222−22-2-22200000−2i22i200−22−22i2−i2i2−i21-11-12i−2i−ii−ii00000000000000000
χ494-44-4-24i−4i2-22−2i2i−2i2i000000−2222−2222-2-222000002i2−2i2002−22−2−i2i2−i2i21-11-12i−2i−ii−ii00000000000000000
χ504-44-4-2−4i4i2-222i−2i2i−2i00000022−2222−22-2-222000002i2−2i200−22−22−i2i2−i2i21-11-1−2i2ii−ii−i00000000000000000
χ514-44-4-2−4i4i2-222i−2i2i−2i000000−2222−2222-2-22200000−2i22i2002−22−2i2−i2i2−i21-11-1−2i2ii−ii−i00000000000000000
χ524-4-44400-4-440000000000−2i22i22i2−2i2-222-2000000000−2i22i22i2−2i20000-2-22200000000000000000000000
χ534-4-44400-4-4400000000002i2−2i2−2i22i2-222-20000000002i2−2i2−2i22i20000-2-22200000000000000000000000
χ544-4-44-20022-223−23−2323000000−2i22i22i2−2i2-222-2000000000i2−i2−i2i2i6−i6−i6i611-1-1003−3−3300000000000000000
χ554-4-44-20022-223−23−23230000002i2−2i2−2i22i2-222-2000000000−i2i2i2−i2−i6i6i6−i611-1-1003−3−3300000000000000000
χ564-4-44-20022-2−232323−23000000−2i22i22i2−2i2-222-2000000000i2−i2−i2i2−i6i6i6−i611-1-100−333−300000000000000000
χ574-4-44-20022-2−232323−230000002i2−2i2−2i22i2-222-2000000000−i2i2i2−i2i6−i6−i6i611-1-100−333−300000000000000000
χ586666-366-3-3-3-3-3-3-30000-2-222220000-2-2-2112211-1-1-1-1-1-1-1-10000000000-21111000000000000
χ596666-366-3-3-3-3-3-3-30000-2-2-2-2-2-20000-22211-2-2111111111100000000002-1-1-1-1000000000000
χ606666-3-6-6-3-3-333330000-2-2222200002-2-2-1-1-2-211-1-1-1-111110000000000211-1-1000000000000
χ616666-3-6-6-3-3-333330000-2-2-2-2-2-20000222-1-122111111-1-1-1-10000000000-2-1-111000000000000
χ6266-6-66006-6-600000000-222i2i−2i−2i00000−2i2i0000-222i2i−2i−2i000000000000000−2i2i00000000000000
χ6366-6-66006-6-600000000-22−2i−2i2i2i000002i−2i0000-22−2i−2i2i2i0000000000000002i−2i00000000000000
χ6466-6-6-300-333−3i3−3i33i33i30000-222i2i−2i−2i00000−2i2ii3−i3001-1−i−iii33−3−300000000000i−i−33000000000000
χ6566-6-6-300-333−3i3−3i33i33i30000-22−2i−2i2i2i000002i−2ii3−i3001-1ii−i−i−3−33300000000000−ii3−3000000000000
χ6666-6-6-300-3333i33i3−3i3−3i30000-222i2i−2i−2i00000−2i2i−i3i3001-1−i−iii−3−33300000000000i−i3−3000000000000
χ6766-6-6-300-3333i33i3−3i3−3i30000-22−2i−2i2i2i000002i−2i−i3i3001-1ii−i−i33−3−300000000000−ii−33000000000000
χ688-88-8-48i−8i4-44−4i4i−4i4i000000000022-2-200000000000000000-11-11−2i2ii−ii−i00000000000000000
χ698-88-8-4−8i8i4-444i−4i4i−4i000000000022-2-200000000000000000-11-112i−2i−ii−ii00000000000000000
χ708-8-88800-8-88000000000000002-2-220000000000000000022-2-200000000000000000000000
χ718-8-88-40044-443−43−434300000000002-2-2200000000000000000-1-11100−333−300000000000000000
χ728-8-88-40044-4−434343−4300000000002-2-2200000000000000000-1-111003−3−3300000000000000000

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