Finite Group Databasebeta

← Group #11921726

Character table — Group #11921726

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222446666668888888812121216161616161616161818242424242424242424242424242424242436484872727272
order12223446661212224444366612121212412123666121212124444666688121212121224242424412122488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11111-1-111111-1-1-1-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1111-1-1-1-11111-111-1-1-1-1
χ4111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-11-111111-1-1-1-1-1-111-1-111-11-11-1
χ611111-1-1111-1-111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1111-11-11-11
χ711111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-11-1-1111111-1-1-11-1-11-11
χ811111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-111-11-1-1-1-1-11-11111-1-111-1-111-11-1
χ9222222222222222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12200-1-1-1-1002-1-1-1-100002000000
χ10222222222222-2-2-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200111100211110000-2000000
χ1122222-2-2222-2-222-2-222-1-1-1-11111-222-1-1-1-11111-2-200-1-1-1-100-2111100002000000
χ1222222-2-2222-2-2-2-22222-1-1-1-11111-222-1-1-1-111112200111100-2-1-1-1-10000-2000000
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-10022000022-10000-1-1-1-10-1-10000
χ142222-122-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-1000011110110000
χ152222-1-2-2-1-1-1110000222222-2-2-2-2-2-1-1-1-1-1-11111002-200002-210000-1-1110-110000
χ162222-1-2-2-1-1-1110000222222-2-2-2-2-2-1-1-1-1-1-1111100-220000-221000011-1-101-10000
χ172-2-222002-2-200002i−2i-2222-2-2000002-222-2-200002i−2i0000000002i2i−2i−2i00000000000
χ182-2-222002-2-200002i−2i-22-1-11133−3−302-2-1-11133−3−32i−2i00−i3−i3i3i3000−i−iii00000000000
χ192-2-222002-2-200002i−2i-22-1-111−3−33302-2-1-111−3−3332i−2i00i3i3−i3−i3000−i−iii00000000000
χ202-2-222002-2-20000−2i2i-2222-2-2000002-222-2-20000−2i2i000000000−2i−2i2i2i00000000000
χ212-2-222002-2-20000−2i2i-22-1-11133−3−302-2-1-11133−3−3−2i2i00i3i3−i3−i3000ii−i−i00000000000
χ222-2-222002-2-20000−2i2i-22-1-111−3−33302-2-1-111−3−333−2i2i00−i3−i3i3i3000ii−i−i00000000000
χ233333333333333333-1-100000000-1-1-100000000-1-1110000-1-1-10000-1-1-1-1-11111-1-1
χ243333333333333333-1-100000000-1-1-100000000-1-1-1-1000011-100001111-1-1-1-1-111
χ25333333333333-3-3-3-3-1-100000000-1-1-10000000011110000-1-1-10000-1-1-1-1111-1-111
χ26333333333333-3-3-3-3-1-100000000-1-1-10000000011-1-1000011-1000011111-1-111-1-1
χ2733333-3-3333-3-333-3-3-1-1000000001-1-100000000111-10000-1110000-1-111-11-11-1-11
χ2833333-3-3333-3-333-3-3-1-1000000001-1-10000000011-1100001-11000011-1-1-1-11-111-1
χ2933333-3-3333-3-3-3-333-1-1000000001-1-100000000-1-11-10000-1110000-1-11111-1-111-1
χ3033333-3-3333-3-3-3-333-1-1000000001-1-100000000-1-1-1100001-11000011-1-11-111-1-11
χ314444-244-2-2-2-2-2000044-2-2-2-2-2-2-2-24-2-2111111110000000000-2000000000000000
χ324444-2-4-4-2-2-222000044-2-2-2-22222-4-2-21111-1-1-1-100000000002000000000000000
χ3344-4-4400-44-4004-400001-1-11−i3i3−i3i30001-1-11−i3i3−i3i300001-11-1000−i3i3−i3i300000000000
χ3444-4-4400-44-4004-400001-1-11i3−i3i3−i30001-1-11i3−i3i3−i300001-11-1000i3−i3i3−i300000000000
χ3544-4-4400-44-4004-40000-222-20000000-222-200000000-22-22000000000000000000
χ3644-4-4400-44-400-4400001-1-11−i3i3−i3i30001-1-11−i3i3−i3i30000-11-11000i3−i3i3−i300000000000
χ3744-4-4400-44-400-4400001-1-11i3−i3i3−i30001-1-11i3−i3i3−i30000-11-11000−i3i3−i3i300000000000
χ3844-4-4400-44-400-440000-222-20000000-222-2000000002-22-2000000000000000000
χ394-44-444i−4i-4-444i−4i0000001-11-1i−i−ii0001-11-1i−i−ii0000−i3i3i3−i30003−3−3300000000000
χ404-44-444i−4i-4-444i−4i0000001-11-1i−i−ii0001-11-1i−i−ii0000i3−i3−i3i3000−333−300000000000
χ414-44-444i−4i-4-444i−4i000000-22-22−2i2i2i−2i000-22-22−2i2i2i−2i00000000000000000000000000
χ424-44-44−4i4i-4-44−4i4i0000001-11-1−iii−i0001-11-1−iii−i0000−i3i3i3−i3000−333−300000000000
χ434-44-44−4i4i-4-44−4i4i0000001-11-1−iii−i0001-11-1−iii−i0000i3−i3−i3i30003−3−3300000000000
χ444-44-44−4i4i-4-44−4i4i000000-22-222i−2i−2i2i000-22-222i−2i−2i2i00000000000000000000000000
χ454-44-4-24i−4i22-2−2i2i000000-22-22−2i2i2i−2i0001-11-1i−i−ii000000000000000i6−i66−60000000
χ464-44-4-24i−4i22-2−2i2i000000-22-22−2i2i2i−2i0001-11-1i−i−ii000000000000000−i6i6−660000000
χ474-44-4-2−4i4i22-22i−2i000000-22-222i−2i−2i2i0001-11-1−iii−i000000000000000i6−i6−660000000
χ484-44-4-2−4i4i22-22i−2i000000-22-222i−2i−2i2i0001-11-1−iii−i000000000000000−i6i66−60000000
χ494-4-44-200-222000000-4444-4-400000-22-2-222000000000000000000000000000000
χ504-4-44-200-222000000-44-2-2222323−23−230-2211-1-1−3−33300000000000000000000000000
χ514-4-44-200-222000000-44-2-222−23−2323230-2211-1-133−3−300000000000000000000000000
χ526666-366-3-3-3-3-30000-2-200000000-2110000000000220000-2-21000011110-1-10000
χ536666-366-3-3-3-3-30000-2-200000000-2110000000000-2-200002210000-1-1-1-10110000
χ546666-3-6-6-3-3-3330000-2-20000000021100000000002-20000-22-1000011-1-10-110000
χ556666-3-6-6-3-3-3330000-2-2000000002110000000000-2200002-2-10000-1-11101-10000
χ566-6-666006-6-600006i−6i2-2000000000-2200000000−2i2i000000000000000000000000
χ576-6-666006-6-60000−6i6i2-2000000000-22000000002i−2i000000000000000000000000
χ5888-8-8-4004-44000000002-2-22−2i32i3−2i32i3000-111-1i3−i3i3−i300000000000000000000000000
χ5988-8-8-4004-44000000002-2-222i3−2i32i3−2i3000-111-1−i3i3−i3i300000000000000000000000000
χ6088-8-8-4004-4400000000-444-400000002-2-22000000000000000000000000000000
χ618-88-8-48i−8i44-4−4i4i0000002-22-22i−2i−2i2i000-11-11−iii−i00000000000000000000000000
χ628-88-8-4−8i8i44-44i−4i0000002-22-2−2i2i2i−2i000-11-11i−i−ii00000000000000000000000000
χ6312-12-1212-600-6660000004-40000000002-20000000000000000000000000000000000

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