Finite Group Databasebeta

← Group #11922349

Character table — Group #11922349

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222223333446666888888881212121212121216161616161616161818242424242424242424242424242424363636363648487272
order12223446664444121244443666121212122888812123666121212124444612121212121212122424242448888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1111111111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-11111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1
χ41111111111-1-1-1-111-1-111111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-1111111-1-1-1-1111-1-11111-1-1-1-111-1-1-111-1-1-11-11
χ611111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-111-11-11111-1-1-1-1-1-111-1-1-1111-11-1
χ711111-1-1111-1-1-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11-1-111-111-1
χ811111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-111111-1-11-1-11
χ922222222222222222222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-122002-1-1-1-1-1-1-1-10000200000000
χ102222222222-2-2-2-222-2-222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-1-2-2002111111110000-200000000
χ1122222-2-22222222-2-2-2-222-1-1-1-11111-2000022-1-1-1-111112200-2-1-1-1-111110000-200000000
χ1222222-2-2222-2-2-2-2-2-22222-1-1-1-11111-2000022-1-1-1-11111-2-200-21111-1-1-1-10000200000000
χ132222-122-1-1-10000-1-100222222222222222-1-1-1-1-1-1-1-1-1-10022-100000000-1-1-1-100000-1-100
χ142222-122-1-1-10000-1-10022222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-100-2-2-1000000001111000001100
χ152222-1-2-2-1-1-100001100222222-2-2-2-2-222-2-2-1-1-1-1-1-11111002-2100000000-1-111000001-100
χ162222-1-2-2-1-1-100001100222222-2-2-2-2-2-2-222-1-1-1-1-1-1111100-2210000000011-1-100000-1100
χ172-22-2200-2-222i2i−2i−2i00002-222-2-20000000002-22-2-2200002i−2i0002i2i−2i−2i00000000000000000
χ182-22-2200-2-222i2i−2i−2i00002-2-1-111−i3−i3i3i3000002-2-111-1−i3−i3i3i32i−2i000−i−iii33−3−30000000000000
χ192-22-2200-2-222i2i−2i−2i00002-2-1-111i3i3−i3−i3000002-2-111-1i3i3−i3−i32i−2i000−i−iii−3−3330000000000000
χ202-22-2200-2-22−2i−2i2i2i00002-222-2-20000000002-22-2-220000−2i2i000−2i−2i2i2i00000000000000000
χ212-22-2200-2-22−2i−2i2i2i00002-2-1-111−i3−i3i3i3000002-2-111-1−i3−i3i3i3−2i2i000ii−i−i−3−3330000000000000
χ222-22-2200-2-22−2i−2i2i2i00002-2-1-111i3i3−i3−i3000002-2-111-1i3i3−i3−i3−2i2i000ii−i−i33−3−30000000000000
χ232-2-2222i−2i-22-22i−2i2i−2i2i−2i2-200-111-1i−ii−i02−2−i2i200-11-11i−ii−i00000i−ii−i1-11-12−2−i2i20−i2i22−20000
χ242-2-2222i−2i-22-22i−2i2i−2i2i−2i2-200-111-1i−ii−i0−22i2−i200-11-11i−ii−i00000i−ii−i1-11-1−22i2−i20i2−i2−220000
χ252-2-2222i−2i-22-2−2i2i−2i2i2i−2i-2200-111-1i−ii−i02−2−i2i200-11-11i−ii−i00000−ii−ii-11-112−2−i2i20i2−i2−220000
χ262-2-2222i−2i-22-2−2i2i−2i2i2i−2i-2200-111-1i−ii−i0−22i2−i200-11-11i−ii−i00000−ii−ii-11-11−22i2−i20−i2i22−20000
χ272-2-222−2i2i-22-22i−2i2i−2i−2i2i-2200-111-1−ii−ii02−2i2−i200-11-11−ii−ii00000i−ii−i-11-112−2i2−i20−i2i2−220000
χ282-2-222−2i2i-22-22i−2i2i−2i−2i2i-2200-111-1−ii−ii0−22−i2i200-11-11−ii−ii00000i−ii−i-11-11−22−i2i20i2−i22−20000
χ292-2-222−2i2i-22-2−2i2i−2i2i−2i2i2-200-111-1−ii−ii02−2i2−i200-11-11−ii−ii00000−ii−ii1-11-12−2i2−i20i2−i22−20000
χ302-2-222−2i2i-22-2−2i2i−2i2i−2i2i2-200-111-1−ii−ii0−22−i2i200-11-11−ii−ii00000−ii−ii1-11-1−22−i2i20−i2i2−220000
χ31333333333333333333-1-100000000-11111-1-100000000-1-1-1-1-1000000001111-11111-1-1-1-1
χ32333333333333333333-1-100000000-1-1-1-1-1-1-100000000-1-111-100000000-1-1-1-1-1-1-1-1-11111
χ333333333333-3-3-3-333-3-3-1-100000000-11111-1-10000000011-1-1-10000000011111-1-1-1-1-1-111
χ343333333333-3-3-3-333-3-3-1-100000000-1-1-1-1-1-1-1000000001111-100000000-1-1-1-11111111-1-1
χ3533333-3-33333333-3-3-3-3-1-100000000111-1-1-1-100000000-1-1-1110000000011-1-1111-1-11-11-1
χ3633333-3-33333333-3-3-3-3-1-1000000001-1-111-1-100000000-1-11-1100000000-1-1111-1-111-11-11
χ3733333-3-3333-3-3-3-3-3-333-1-100000000111-1-1-1-10000000011-1110000000011-1-1-1-1-1111-1-11
χ3833333-3-3333-3-3-3-3-3-333-1-1000000001-1-111-1-100000000111-1100000000-1-111-111-1-1-111-1
χ394444-244-2-2-20000-2-20044-2-2-2-2-2-2-2-240000-2-2111111110000-2000000000000000000000
χ404444-2-4-4-2-2-20000220044-2-2-2-22222-40000-2-21111-1-1-1-100002000000000000000000000
χ4144-4-44004-4-44-4-440000001-11-13−3−33000000011-1-13−3−3300000-111-1−333−30000000000000
χ4244-4-44004-4-44-4-440000001-11-1−333−3000000011-1-1−333−300000-111-13−3−330000000000000
χ4344-4-44004-4-44-4-44000000-22-2200000000000-2-2220000000002-2-2200000000000000000
χ4444-4-44004-4-4-444-40000001-11-13−3−33000000011-1-13−3−33000001-1-113−3−330000000000000
χ4544-4-44004-4-4-444-40000001-11-1−333−3000000011-1-1−333−3000001-1-11−333−30000000000000
χ4644-4-44004-4-4-444-4000000-22-2200000000000-2-222000000000-222-200000000000000000
χ474-44-4-20022-2000000004-444-4-4000000000-22-222-2000000000000000000000000000000
χ484-44-4-20022-2000000004-4-2-222−2i3−2i32i32i300000-221-1-11i3i3−i3−i300000000000000000000000000
χ494-44-4-20022-2000000004-4-2-2222i32i3−2i3−2i300000-221-1-11−i3−i3i3i300000000000000000000000000
χ504-4-4444i−4i-44-44i−4i4i−4i4i−4i4-4001-1-11−ii−ii00000001-11-1−ii−ii00000−ii−ii-11-110000000000000
χ514-4-4444i−4i-44-4−4i4i−4i4i4i−4i-44001-1-11−ii−ii00000001-11-1−ii−ii00000i−ii−i1-11-10000000000000
χ524-4-444−4i4i-44-44i−4i4i−4i−4i4i-44001-1-11i−ii−i00000001-11-1i−ii−i00000−ii−ii1-11-10000000000000
χ534-4-444−4i4i-44-4−4i4i−4i4i−4i4i4-4001-1-11i−ii−i00000001-11-1i−ii−i00000i−ii−i-11-110000000000000
χ544-4-44-24i−4i2-220000−2i2i0000-222-22i−2i2i−2i022−22−2i22i2001-11-1−ii−ii0000000000000−22i2−i2000000000
χ554-4-44-24i−4i2-220000−2i2i0000-222-22i−2i2i−2i0−22222i2−2i2001-11-1−ii−ii00000000000002−2−i2i2000000000
χ564-4-44-2−4i4i2-2200002i−2i0000-222-2−2i2i−2i2i022−222i2−2i2001-11-1i−ii−i0000000000000−22−i2i2000000000
χ574-4-44-2−4i4i2-2200002i−2i0000-222-2−2i2i−2i2i0−2222−2i22i2001-11-1i−ii−i00000000000002−2i2−i2000000000
χ586666-366-3-3-30000-3-300-2-200000000-22222110000000000-2-2100000000-1-1-1-1000001100
χ596666-366-3-3-30000-3-300-2-200000000-2-2-2-2-211000000000022100000000111100000-1-100
χ606666-3-6-6-3-3-300003300-2-200000000222-2-2110000000000-22-100000000-1-11100000-1100
χ616666-3-6-6-3-3-300003300-2-2000000002-2-2221100000000002-2-10000000011-1-1000001-100
χ626-66-6600-6-666i6i−6i−6i0000-220000000000000-2200000000−2i2i000000000000000000000000
χ636-66-6600-6-66−6i−6i6i6i0000-220000000000000-22000000002i−2i000000000000000000000000
χ6488-8-8-400-44400000000002-22-223−23−23230000000-1-111−333−300000000000000000000000000
χ6588-8-8-400-44400000000002-22-2−232323−230000000-1-1113−3−3300000000000000000000000000
χ6688-8-8-400-4440000000000-44-440000000000022-2-2000000000000000000000000000000
χ678-8-88-48i−8i4-440000−4i4i00002-2-22−2i2i−2i2i0000000-11-11i−ii−i00000000000000000000000000
χ688-8-88-4−8i8i4-4400004i−4i00002-2-222i−2i2i−2i0000000-11-11−ii−ii00000000000000000000000000
χ6912-1212-12-60066-600000000-4400000000000002-20000000000000000000000000000000000

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