Finite Group Databasebeta

← Group #13151396

Character table — Group #13151396

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222224444444466666666121212121212121218181818181818182424242424242424242436363636363636363636363636363636363636363636363672727272
order12223446662266661212336666663666121212122244666666666666121222224444446666666612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-11-111-1-11-1-1-1-1-111-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-11-1-1-1-1-1-111-1-1-1-111-1-111
χ51111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ61111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111-1111111-1-1-1-111-1-1-1-111
χ81111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-111111-1-111-1-1-1-11111-1-1
χ911111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1111111-1-111-1-1-1-11-11-11-11-1-1111-1-111-1-1-1-1-1-1111-11-1
χ1011111-1-11111-111-1-1-1-1111111111111-1-1-1-111-1-1111111-1-111-1-1-1-11-1-11-11-111-111-1-1-1-111-1-111-1-1-11-11
χ1111111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-1-11-1-1-1-111111111-1-1-1-11-1-11
χ1211111-1-11111-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11-1-1-111-111-1-111-1-1-1-1111111-111-1
χ1311111-1-1111-11-1-111-1-1111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-111-1-11-11-11-1-11111-1-1-1-1-1-111-11-11
χ1411111-1-1111-11-1-111-1-1111111111111-1-1-1-111-1-11111-1-111-1-111-1-1-11-111-11-11-1-1-111-1-111-1-111-1-11-11-1
χ1511111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11-111-111-1-1-111-1-1111111-1-1-1-1-111-1
χ1611111-1-1111-11-1-111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11-1-1-11-1-111111-1-1-1-1-1-11111111-1-11
χ172222222222222222222-12-12-12-1-1-1-1-122-1-1000000002-12-1-1-1-1-1-1-10002002202000000-1-10000-1-100-1-1
χ182222222222222222222-12-12-12-1-1-1-1-122-1-1000000002-12-1-1-1-1-1-1-1000-200-2-20-2000000110000110011
χ19222222222222222222-12-12-12-12-1-1-1-1-1-12200000000-12-12-1-1-1-1-1-100202200200000-1-10000-1-100-1-100
χ20222222222222222222-12-12-12-12-1-1-1-1-1-12200000000-12-12-1-1-1-1-1-100-20-2-200-20000011000011001100
χ212222222222-2-2-2-2-2-2222-12-12-12-1-1-1-1-122-1-100000000-21-211111-1-1000200-2-202000000-1-10000-1-10011
χ222222222222-2-2-2-2-2-2222-12-12-12-1-1-1-1-122-1-100000000-21-211111-1-1000-200220-20000001100001100-1-1
χ232222222222-2-2-2-2-2-222-12-12-12-12-1-1-1-1-1-122000000001-21-21111-1-10020-2-200200000-1-10000-1-1001100
χ242222222222-2-2-2-2-2-222-12-12-12-12-1-1-1-1-1-122000000001-21-21111-1-100-202200-2000001100001100-1-100
χ2522222-2-22222-222-2-2-2-22-12-12-12-1-1-1-1-1-2-211000000002-1-21-1-11111000200-220-2000000-1-1000011001-1
χ2622222-2-22222-222-2-2-2-22-12-12-12-1-1-1-1-1-2-211000000002-1-21-1-11111000-2002-202000000110000-1-100-11
χ2722222-2-22222-222-2-2-2-2-12-12-12-12-1-1-1-111-2-200000000-121-2-1-1111100202-200-200000-1-100001100-1100
χ2822222-2-22222-222-2-2-2-2-12-12-12-12-1-1-1-111-2-200000000-121-2-1-1111100-20-2200200000110000-1-1001-100
χ2922222-2-2222-22-2-222-2-22-12-12-12-1-1-1-1-1-2-21100000000-212-111-1-1110002002-20-2000000-1-100001100-11
χ3022222-2-2222-22-2-222-2-22-12-12-12-1-1-1-1-1-2-21100000000-212-111-1-111000-200-2202000000110000-1-1001-1
χ3122222-2-2222-22-2-222-2-2-12-12-12-12-1-1-1-111-2-2000000001-2-1211-1-1110020-2200-200000-1-1000011001-100
χ3222222-2-2222-22-2-222-2-2-12-12-12-12-1-1-1-111-2-2000000001-2-1211-1-11100-202-200200000110000-1-100-1100
χ332-2-2222-2-2-220000002-222-2-222-2-22-2-222-22-22-22-222-2-2000000002-20000000000000000002-200000000
χ342-2-2222-2-2-220000002-222-2-222-2-22-2-222-22-2-22-22-2-222000000002-2000000000000000000-2200000000
χ352-2-222-22-2-22000000-2222-2-222-2-22-2-22-22-222-2-2222-2-200000000-22000000000000000000-2200000000
χ362-2-222-22-2-22000000-2222-2-222-2-22-2-22-22-22-222-2-2-22200000000-220000000000000000002-200000000
χ37444444444444444444-2-2-2-2-2-2-2-21111-2-2-2-200000000-2-2-2-21111110000000000000000000000000000
χ384444444444-4-4-4-4-4-444-2-2-2-2-2-2-2-21111-2-2-2-2000000002222-1-1-1-1110000000000000000000000000000
χ3944444-4-44444-444-4-4-4-4-2-2-2-2-2-2-2-21111222200000000-2-22211-1-1-1-10000000000000000000000000000
χ4044444-4-4444-44-4-444-4-4-2-2-2-2-2-2-2-2111122220000000022-2-2-1-111-1-10000000000000000000000000000
χ4144-4-44004-4-400000000444-4-4-4-4444-4-400000000000000000000000000000000000000000000000000
χ4244-4-44004-4-4000000004-242-42-4-2-2-22200000000000000000000000000000000000000−2i32i30000000000
χ4344-4-44004-4-4000000004-242-42-4-2-2-222000000000000000000000000000000000000002i3−2i30000000000
χ4444-4-44004-4-400000000-24-2-42-424-2-22200000000000000000000000000000000000000000023−23000000
χ4544-4-44004-4-400000000-24-2-42-424-2-222000000000000000000000000000000000000000000−2323000000
χ464-44-4400-44-40000000044-44-4-44-44-44-400000000000000000000000000000000000000000000000000
χ474-44-4400-44-4000000004-2-4-2-4242-22-220000000000000000000000000000000000000000000023−230000
χ484-44-4400-44-4000000004-2-4-2-4242-22-2200000000000000000000000000000000000000000000−23230000
χ494-44-4400-44-400000000-24242-4-2-4-22-22000000000000000000000000000000000000−2i32i3000000000000
χ504-44-4400-44-400000000-24242-4-2-4-22-220000000000000000000000000000000000002i3−2i3000000000000
χ514-4-4444-4-4-440000004-44-2-424-2-42-222-24-4-220000000000000000-220000000000000000000000000000
χ524-4-4444-4-4-440000004-4-242-4-242-4-222-2-224-40000000000000000-220000000000000000000000000000
χ534-4-4444-4-4-440000004-4-2-222-2-2221-1-11-22-220000000000003-33-31-10000000000000000000000000000
χ544-4-4444-4-4-440000004-4-2-222-2-2221-1-11-22-22000000000000-33-331-10000000000000000000000000000
χ554-4-444-44-4-44000000-444-2-424-2-42-222-2-442-200000000000000002-20000000000000000000000000000
χ564-4-444-44-4-44000000-44-242-4-242-4-222-22-2-4400000000000000002-20000000000000000000000000000
χ574-4-444-44-4-44000000-44-2-222-2-2221-1-112-22-20000000000003-3-33-110000000000000000000000000000
χ584-4-444-44-4-44000000-44-2-222-2-2221-1-112-22-2000000000000-333-3-110000000000000000000000000000
χ596666-366-3-3-366-3-3-3-3-3-300000000000000002222-1-1-1-100000000002200000000-1-1-1-10000-1-100000000
χ606666-366-3-3-366-3-3-3-3-3-30000000000000000-2-2-2-211110000000000-2-200000000111100001100000000
χ616666-366-3-3-3-6-63333-3-300000000000000002222-1-1-1-10000000000-2-20000000011110000-1-100000000
χ626666-366-3-3-3-6-63333-3-30000000000000000-2-2-2-2111100000000002200000000-1-1-1-100001100000000
χ636666-3-6-6-3-3-36-6-3-33333000000000000000022-2-2-1-1-1-100000000002-200000000-1-11100001100000000
χ646666-3-6-6-3-3-36-6-3-333330000000000000000-2-22211110000000000-220000000011-1-10000-1-100000000
χ656666-3-6-6-3-3-3-6633-3-333000000000000000022-2-2-1-1-1-10000000000-220000000011-1-100001100000000
χ666666-3-6-6-3-3-3-6633-3-3330000000000000000-2-222111100000000002-200000000-1-1110000-1-100000000
χ676-6-66-36-633-300−3i33i3−3i33i3-3300000000000000002-22-2-1-11100000000000000000000−i3i3−i3i30000-1100000000
χ686-6-66-36-633-300−3i33i3−3i33i3-330000000000000000-22-2211-1-100000000000000000000i3−i3i3−i300001-100000000
χ696-6-66-36-633-3003i3−3i33i3−3i3-3300000000000000002-22-2-1-11100000000000000000000i3−i3i3−i30000-1100000000
χ706-6-66-36-633-3003i3−3i33i3−3i3-330000000000000000-22-2211-1-100000000000000000000−i3i3−i3i300001-100000000
χ716-6-66-3-6633-300−3i33i33i3−3i33-300000000000000002-2-22-1-11100000000000000000000−i3i3i3−i300001-100000000
χ726-6-66-3-6633-300−3i33i33i3−3i33-30000000000000000-222-211-1-100000000000000000000i3−i3−i3i30000-1100000000
χ736-6-66-3-6633-3003i3−3i3−3i33i33-300000000000000002-2-22-1-11100000000000000000000i3−i3−i3i300001-100000000
χ746-6-66-3-6633-3003i3−3i3−3i33i33-30000000000000000-222-211-1-100000000000000000000−i3i3i3−i30000-1100000000
χ7588-8-88008-8-800000000-4-4-44444-422-2-200000000000000000000000000000000000000000000000000
χ768-88-8800-88-800000000-4-44-444-442-22-200000000000000000000000000000000000000000000000000
χ771212-12-12-600-6660000000000000000000000000000−2i32i3−2i32i300000000000000000000000000000000000000
χ781212-12-12-600-66600000000000000000000000000002i3−2i32i3−2i300000000000000000000000000000000000000
χ7912-1212-12-6006-660000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000000
χ8012-1212-12-6006-6600000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000000

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