Finite Group Databasebeta

← Group #11922299

Character table — Group #11922299

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222446666668888888812121216161616161616161818242424242424242424242424242424242436484872727272
order12223446661212444444366612121212212123666121212124444688121212121212121224242424412122488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1111111111111111111111-1-111111-1-1-1-1-1-1-1-11111-111-1-1-1-1
χ4111111111111-1-1-1-1111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-11-1-11-11111-1-1-1-111-1-11-111-11-1
χ611111-1-1111-1-111-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-11-11
χ711111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1111111-1-1-1-11-11-11
χ811111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-111-11-1-11-1-1-1-11111-1-111-11-11-11-1
χ9222222222222222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12200200-1-1-1-1-1-1-1-100002000000
χ10222222222222-2-2-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200200111111110000-2000000
χ1122222-2-2222-2-222-2-222-1-1-1-11111-222-1-1-1-11111-2-200-200-1-1-1-1111100002000000
χ1222222-2-2222-2-2-2-22222-1-1-1-11111-222-1-1-1-111112200-2001111-1-1-1-10000-2000000
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-10022-12200000000-1-1-1-10-1-10000
χ142222-122-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-100-2-2-1-2-20000000011110110000
χ152222-1-2-2-1-1-1110000222222-2-2-2-2-2-1-1-1-1-1-11111002-212-200000000-1-11101-10000
χ162222-1-2-2-1-1-1110000222222-2-2-2-2-2-1-1-1-1-1-1111100-221-220000000011-1-10-110000
χ1722-2-2200-2-2200002i−2i2-222-2-2000002-22-2-2200002i−2i0000000002i2i−2i−2i00000000000
χ1822-2-2200-2-2200002i−2i2-2-1-111−i3−i3i3i302-2-111-1−i3−i3i3i32i−2i0000033−3−3−i−iii00000000000
χ1922-2-2200-2-2200002i−2i2-2-1-111i3i3−i3−i302-2-111-1i3i3−i3−i32i−2i00000−3−333−i−iii00000000000
χ2022-2-2200-2-220000−2i2i2-222-2-2000002-22-2-220000−2i2i000000000−2i−2i2i2i00000000000
χ2122-2-2200-2-220000−2i2i2-2-1-111−i3−i3i3i302-2-111-1−i3−i3i3i3−2i2i00000−3−333ii−i−i00000000000
χ2222-2-2200-2-220000−2i2i2-2-1-111i3i3−i3−i302-2-111-1i3i3−i3−i3−2i2i0000033−3−3ii−i−i00000000000
χ233333333333333333-1-100000000-1-1-100000000-1-111-1-1-100000000-1-1-1-1-11111-1-1
χ243333333333333333-1-100000000-1-1-100000000-1-1-1-1-111000000001111-1-1-1-1-111
χ25333333333333-3-3-3-3-1-100000000-1-1-1000000001111-1-1-100000000-1-1-1-1111-1-111
χ26333333333333-3-3-3-3-1-100000000-1-1-10000000011-1-1-1110000000011111-1-111-1-1
χ2733333-3-3333-3-333-3-3-1-1000000001-1-100000000111-11-1100000000-1-111-1-111-1-11
χ2833333-3-3333-3-333-3-3-1-1000000001-1-10000000011-1111-10000000011-1-1-11-1-111-1
χ2933333-3-3333-3-3-3-333-1-1000000001-1-100000000-1-11-11-1100000000-1-1111-11-111-1
χ3033333-3-3333-3-3-3-333-1-1000000001-1-100000000-1-1-1111-10000000011-1-111-11-1-11
χ314444-244-2-2-2-2-2000044-2-2-2-2-2-2-2-24-2-2111111110000-2000000000000000000000
χ324444-2-4-4-2-2-222000044-2-2-2-22222-4-2-21111-1-1-1-100002000000000000000000000
χ3344-4-4-20022-20000004-444-4-400000-22-222-2000000000000000000000000000000
χ3444-4-4-20022-20000004-4-2-222−2i3−2i32i32i30-221-1-11i3i3−i3−i300000000000000000000000000
χ3544-4-4-20022-20000004-4-2-2222i32i3−2i3−2i30-221-1-11−i3−i3i3i300000000000000000000000000
χ364-44-444i−4i-44-44i−4i0000001-11-1i−ii−i00011-1-1i−ii−i0000000−i3i3−i3i33−33−300000000000
χ374-44-444i−4i-44-44i−4i0000001-11-1i−ii−i00011-1-1i−ii−i0000000i3−i3i3−i3−33−3300000000000
χ384-44-444i−4i-44-44i−4i000000-22-22−2i2i−2i2i000-2-222−2i2i−2i2i00000000000000000000000000
χ394-44-44−4i4i-44-4−4i4i0000001-11-1−ii−ii00011-1-1−ii−ii0000000−i3i3−i3i3−33−3300000000000
χ404-44-44−4i4i-44-4−4i4i0000001-11-1−ii−ii00011-1-1−ii−ii0000000i3−i3i3−i33−33−300000000000
χ414-44-44−4i4i-44-4−4i4i000000-22-222i−2i2i−2i000-2-2222i−2i2i−2i00000000000000000000000000
χ424-44-4-24i−4i2-22−2i2i000000-22-22−2i2i−2i2i00011-1-1i−ii−i000000000000000i6−i66−60000000
χ434-44-4-24i−4i2-22−2i2i000000-22-22−2i2i−2i2i00011-1-1i−ii−i000000000000000−i6i6−660000000
χ444-44-4-2−4i4i2-222i−2i000000-22-222i−2i2i−2i00011-1-1−ii−ii000000000000000i6−i6−660000000
χ454-44-4-2−4i4i2-222i−2i000000-22-222i−2i2i−2i00011-1-1−ii−ii000000000000000−i6i66−60000000
χ464-4-444004-4-4004i−4i00001-1-113−3−330001-11-13−3−330000000i−i−iii3−i3−i3i300000000000
χ474-4-444004-4-4004i−4i00001-1-11−333−30001-11-1−333−30000000i−i−ii−i3i3i3−i300000000000
χ484-4-444004-4-4004i−4i0000-222-20000000-22-2200000000000−2i2i2i−2i000000000000000
χ494-4-444004-4-400−4i4i00001-1-113−3−330001-11-13−3−330000000−iii−i−i3i3i3−i300000000000
χ504-4-444004-4-400−4i4i00001-1-11−333−30001-11-1−333−30000000−iii−ii3−i3−i3i300000000000
χ514-4-444004-4-400−4i4i0000-222-20000000-22-22000000000002i−2i−2i2i000000000000000
χ526666-366-3-3-3-3-30000-2-200000000-2110000000000221-2-20000000011110-1-10000
χ536666-366-3-3-3-3-30000-2-200000000-2110000000000-2-212200000000-1-1-1-10110000
χ546666-3-6-6-3-3-3330000-2-20000000021100000000002-2-1-220000000011-1-101-10000
χ556666-3-6-6-3-3-3330000-2-2000000002110000000000-22-12-200000000-1-1110-110000
χ5666-6-6600-6-6600006i−6i-22000000000-2200000000−2i2i000000000000000000000000
χ5766-6-6600-6-660000−6i6i-22000000000-22000000002i−2i000000000000000000000000
χ588-88-8-48i−8i4-44−4i4i0000002-22-22i−2i2i−2i000-1-111−ii−ii00000000000000000000000000
χ598-88-8-4−8i8i4-444i−4i0000002-22-2−2i2i−2i2i000-1-111i−ii−i00000000000000000000000000
χ608-8-88-400-444000000002-2-2223−23−2323000-11-11−333−300000000000000000000000000
χ618-8-88-400-444000000002-2-22−232323−23000-11-113−3−3300000000000000000000000000
χ628-8-88-400-44400000000-444-400000002-22-2000000000000000000000000000000
χ631212-12-12-60066-6000000-440000000002-20000000000000000000000000000000000

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