Finite Group Databasebeta

← Group #13180777

Character table — Group #13180777

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222334444666666666888899121212121212121216161616161616161616161616161616182424242424242424242424242424242427275472727272108108108108
order1223333666622666626666666636664424446666333366666666666646666121212121212121212121212444121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ3111111111111111111111111111111-1-1111111111111111111111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-11111111111-1-1-1-1-1111111111-1-11111-11-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1-111-1
χ611-11111111111-1-1-1-1-1111111111-1-1111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-11-1-11
χ711-11111111111-1-1-1-1-1111111111-1-11-1-11-11-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-11
χ811-11111111111-1-1-1-1-1111111111-1-11-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-11-1-111-111-1
χ922222222222222222222222222-1-1-1-12200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120000000000000000222-1-1-1-10000
χ1022222222222222222222222222-1-1-1-1-2-200002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20000000000000000-2-2-211110000
χ112222-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-122220022222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-102-1-1-12-1-1-12-1-1-12-1-1-100000000000
χ122222-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-1222200-2-2-2-22-1-1-12-1-1-12-1-1-122-1-1-1-1-1-10-2111-2111-2111-211100000000000
χ13222-12-1-1-12-1-122-12-1-12-1-122-1-1-1-12222002222-12-1-1-12-1-1-12-1-1-1-122-1-1-1-10-12-1-1-12-1-1-12-1-1-12-1-100000000000
χ14222-12-1-1-12-1-122-12-1-12-1-122-1-1-1-1222200-2-2-2-2-12-1-1-12-1-1-12-1-1-1-122-1-1-1-101-2111-2111-2111-21100000000000
χ15222-1-12-1-1-12-122-1-12-12-1-1-1-122-1-12222002222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-10-1-12-1-1-12-1-1-12-1-1-12-100000000000
χ16222-1-12-1-1-12-122-1-12-12-1-1-1-122-1-1222200-2-2-2-2-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1011-2111-2111-2111-2100000000000
χ17222-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-1222222002222-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1220-1-1-12-1-1-12-1-1-12-1-1-1200000000000
χ18222-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-122222200-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1220111-2111-2111-2111-200000000000
χ1922-22222222222-2-2-2-2-222222222-111-1220000-2-2-2-2-1-1-1-1-1-1-1-111111111-2000000000000000022-2-1-1110000
χ2022-22222222222-2-2-2-2-222222222-111-1-2-20000-2-2-2-2-1-1-1-1-1-1-1-11111111120000000000000000-2-2211-1-10000
χ2122-22-1-1-12-1-1-122-2111-222-1-1-1-1-1-12-2-22002-22-2-21112-1-1-12-1-1-1-2-211111102-1-1-1-21112-1-1-1-211100000000000
χ2222-22-1-1-12-1-1-122-2111-222-1-1-1-1-1-12-2-2200-22-22-21112-1-1-12-1-1-1-2-21111110-21112-1-1-1-21112-1-1-100000000000
χ2322-2-12-1-1-12-1-1221-211-2-1-122-1-1-1-12-2-22002-22-21-211-12-1-1-12-1-111-2-211110-12-1-11-211-12-1-11-21100000000000
χ2422-2-12-1-1-12-1-1221-211-2-1-122-1-1-1-12-2-2200-22-221-211-12-1-1-12-1-111-2-2111101-211-12-1-11-211-12-1-100000000000
χ2522-2-1-12-1-1-12-12211-21-2-1-1-1-122-1-12-2-22002-22-211-21-1-12-1-1-12-11111-2-2110-1-12-111-21-1-12-111-2100000000000
χ2622-2-1-12-1-1-12-12211-21-2-1-1-1-122-1-12-2-2200-22-2211-21-1-12-1-1-12-11111-2-211011-21-1-12-111-21-1-12-100000000000
χ2722-2-1-1-12-1-1-1222111-2-2-1-1-1-1-1-1222-2-22002-22-2111-2-1-1-12-1-1-12111111-2-20-1-1-12111-2-1-1-12111-200000000000
χ2822-2-1-1-12-1-1-1222111-2-2-1-1-1-1-1-1222-2-2200-22-22111-2-1-1-12-1-1-12111111-2-20111-2-1-1-12111-2-1-1-1200000000000
χ292-202222-2-2-2-22-2000002-22-22-22-2200-22i−2i000000002222-2-2-2-200000000000000000000000002i−2i02i−2i000000
χ302-202222-2-2-2-22-2000002-22-22-22-2200-2−2i2i000000002222-2-2-2-20000000000000000000000000−2i2i0−2i2i000000
χ312-202222-2-2-2-22-2000002-22-22-22-2-1−i3i312i−2i00000000-1-1-1-11111−i3i3−i3i3−i3i3−i3i3000000000000000002i−2i0−ii3−30000
χ322-202222-2-2-2-22-2000002-22-22-22-2-1−i3i31−2i2i00000000-1-1-1-11111−i3i3−i3i3−i3i3−i3i300000000000000000−2i2i0i−i−330000
χ332-202222-2-2-2-22-2000002-22-22-22-2-1i3−i312i−2i00000000-1-1-1-11111i3−i3i3−i3i3−i3i3−i3000000000000000002i−2i0−ii−330000
χ342-202222-2-2-2-22-2000002-22-22-22-2-1i3−i31−2i2i00000000-1-1-1-11111i3−i3i3−i3i3−i3i3−i300000000000000000−2i2i0i−i3−30000
χ3533333333333-1-13333-1-1-1-1-1-1-1-1-100003311-1-1-1-1-1-10000000000000000311111111-1-1-1-1-1-1-1-1-1-1-1000011-1-1
χ3633333333333-1-13333-1-1-1-1-1-1-1-1-1000033-1-111-1-1-1-100000000000000003-1-1-1-1-1-1-1-111111111-1-1-10000-1-111
χ3733333333333-1-13333-1-1-1-1-1-1-1-1-10000-3-311-1-1-1-1-1-10000000000000000-311111111-1-1-1-1-1-1-1-11110000-1-111
χ3833333333333-1-13333-1-1-1-1-1-1-1-1-10000-3-3-1-111-1-1-1-10000000000000000-3-1-1-1-1-1-1-1-111111111111000011-1-1
χ3933-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-10000331-1-1111110000000000000000-31111-1-1-1-1-1-1-1-11111-1-110000-11-11
χ4033-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-1000033-111-111110000000000000000-3-1-1-1-111111111-1-1-1-1-1-1100001-11-1
χ4133-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-10000-3-31-1-111111000000000000000031111-1-1-1-1-1-1-1-1111111-100001-11-1
χ4233-333333333-1-1-3-3-3-31-1-1-1-1-1-1-1-10000-3-3-111-1111100000000000000003-1-1-1-111111111-1-1-1-111-10000-11-11
χ434444-2-2-24-2-2-2444-2-2-2444-2-2-2-2-2-2-2-2-2-20000004-2-2-2-2111-2111-2-21111110000000000000000000000000000
χ44444-24-2-2-24-2-244-24-2-24-2-244-2-2-2-2-2-2-2-2000000-24-2-21-2111-21111-2-211110000000000000000000000000000
χ45444-2-24-2-2-24-244-2-24-24-2-2-2-244-2-2-2-2-2-2000000-2-24-211-2111-211111-2-2110000000000000000000000000000
χ46444-2-2-24-2-2-2444-2-2-244-2-2-2-2-2-244-2-2-2-2000000-2-2-24111-2111-2111111-2-20000000000000000000000000000
χ4744-44-2-2-24-2-2-244-4222-444-2-2-2-2-2-2-222-2000000-4222-2111-211122-1-1-1-1-1-10000000000000000000000000000
χ4844-4-24-2-2-24-2-2442-422-4-2-244-2-2-2-2-222-20000002-4221-2111-211-1-122-1-1-1-10000000000000000000000000000
χ4944-4-2-24-2-2-24-24422-42-4-2-2-2-244-2-2-222-200000022-4211-2111-21-1-1-1-122-1-10000000000000000000000000000
χ5044-4-2-2-24-2-2-2444222-4-4-2-2-2-2-2-244-222-2000000222-4111-2111-2-1-1-1-1-1-1220000000000000000000000000000
χ514-404-2-2-2-42224-4000004-4-22-22-22400-400000000004-2-2-2-4222000000000000000000000000000000000000
χ524-404-2-2-2-42224-4000004-4-22-22-22-2−2i32i320000000000-21112-1-1-1−2i32i3i3−i3i3−i3i3−i30000000000000000000000000000
χ534-404-2-2-2-42224-4000004-4-22-22-22-22i3−2i320000000000-21112-1-1-12i3−2i3−i3i3−i3i3−i3i30000000000000000000000000000
χ544-40-24-2-22-4224-400000-224-4-22-22400-40000000000-24-2-22-422000000000000000000000000000000000000
χ554-40-24-2-22-4224-400000-224-4-22-22-2−2i32i3200000000001-211-12-1-1i3−i3−2i32i3i3−i3i3−i30000000000000000000000000000
χ564-40-24-2-22-4224-400000-224-4-22-22-22i3−2i3200000000001-211-12-1-1−i3i32i3−2i3−i3i3−i3i30000000000000000000000000000
χ574-40-2-24-222-424-400000-22-224-4-22400-40000000000-2-24-222-42000000000000000000000000000000000000
χ584-40-2-24-222-424-400000-22-224-4-22-2−2i32i32000000000011-21-1-12-1i3−i3i3−i3−2i32i3i3−i30000000000000000000000000000
χ594-40-2-24-222-424-400000-22-224-4-22-22i3−2i32000000000011-21-1-12-1−i3i3−i3i32i3−2i3−i3i30000000000000000000000000000
χ604-40-2-2-24222-44-400000-22-22-224-4400-40000000000-2-2-24222-4000000000000000000000000000000000000
χ614-40-2-2-24222-44-400000-22-22-224-4-2−2i32i320000000000111-2-1-1-12i3−i3i3−i3i3−i3−2i32i30000000000000000000000000000
χ624-40-2-2-24222-44-400000-22-22-224-4-22i3−2i320000000000111-2-1-1-12−i3i3−i3i3−i3i32i3−2i30000000000000000000000000000
χ636666-3-3-36-3-3-3-2-26-3-3-3-2-2-211111100000022-2-2-2111000000000000000002-1-1-12-1-1-1-2111-211100000000000
χ646666-3-3-36-3-3-3-2-26-3-3-3-2-2-2111111000000-2-222-211100000000000000000-2111-21112-1-1-12-1-1-100000000000
χ65666-36-3-3-36-3-3-2-2-36-3-3-211-2-2111100000022-2-21-21100000000000000000-12-1-1-12-1-11-2111-21100000000000
χ66666-36-3-3-36-3-3-2-2-36-3-3-211-2-21111000000-2-2221-211000000000000000001-2111-211-12-1-1-12-1-100000000000
χ67666-3-36-3-3-36-3-2-2-3-36-3-21111-2-21100000022-2-211-2100000000000000000-1-12-1-1-12-111-2111-2100000000000
χ68666-3-36-3-3-36-3-2-2-3-36-3-21111-2-211000000-2-22211-210000000000000000011-2111-21-1-12-1-1-12-100000000000
χ69666-3-3-36-3-3-36-2-2-3-3-36-2111111-2-200000022-2-2111-200000000000000000-1-1-12-1-1-12111-2111-200000000000
χ70666-3-3-36-3-3-36-2-2-3-3-36-2111111-2-2000000-2-222111-200000000000000000111-2111-2-1-1-12-1-1-1200000000000
χ7166-66-3-3-36-3-3-3-2-2-63332-2-21111110000002-2-222-1-1-1000000000000000002-1-1-1-2111-21112-1-1-100000000000
χ7266-66-3-3-36-3-3-3-2-2-63332-2-2111111000000-222-22-1-1-100000000000000000-21112-1-1-12-1-1-1-211100000000000
χ7366-6-36-3-3-36-3-3-2-23-633211-2-211110000002-2-22-12-1-100000000000000000-12-1-11-2111-211-12-1-100000000000
χ7466-6-36-3-3-36-3-3-2-23-633211-2-21111000000-222-2-12-1-1000000000000000001-211-12-1-1-12-1-11-21100000000000
χ7566-6-3-36-3-3-36-3-2-233-6321111-2-2110000002-2-22-1-12-100000000000000000-1-12-111-2111-21-1-12-100000000000
χ7666-6-3-36-3-3-36-3-2-233-6321111-2-211000000-222-2-1-12-10000000000000000011-21-1-12-1-1-12-111-2100000000000
χ7766-6-3-3-36-3-3-36-2-2333-62111111-2-20000002-2-22-1-1-1200000000000000000-1-1-12111-2111-2-1-1-1200000000000
χ7866-6-3-3-36-3-3-36-2-2333-62111111-2-2000000-222-2-1-1-1200000000000000000111-2-1-1-12-1-1-12111-200000000000
χ796-606666-6-6-6-6-2200000-22-22-22-2200006i−6i00000000000000000000000000000000000000000−2i2i000000000
χ806-606666-6-6-6-6-2200000-22-22-22-220000−6i6i000000000000000000000000000000000000000002i−2i000000000
χ8112-12012-6-6-6-12666-4400000-442-22-22-20000000000000000000000000000000000000000000000000000000000
χ8212-120-612-6-66-1266-44000002-2-442-22-20000000000000000000000000000000000000000000000000000000000
χ8312-120-6-612-666-126-44000002-22-2-442-20000000000000000000000000000000000000000000000000000000000
χ8412-120-6-6-612666-12-44000002-22-22-2-440000000000000000000000000000000000000000000000000000000000

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