Finite Group Databasebeta

← Group #13150011

Character table — Group #13150011

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size112224444666688812121212121218181818181818181818242424242424242436363636363636363636363636363648487272727272727272
order123464481233661212243612122424222444881212121212121224242422224466688121224241212666612122424
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11-1-111111111111111-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1
χ31111111111111111111111-11-1-11-1-1-1-1-111111111-1-11-11-11-1-11-11-1-1-1111-1-1-11-11-1
χ41111111111111111111111-1-11-1-11-1-1-1-111111111-1-1-11-11-11-1-11-11-1-111-11-1-1-11-11
χ5111111-1-1111111-1-11111-1-1111111-1-1111-11-11-1-1-11-111-1-1111-1-111-1-11-1111-1-1-1-1-1
χ6111111-1-1111111-1-11111-1-11-1-11-1-1-1-1111-11-11-1-1-11-1-1-111-1-1111-1-1-1-11-1-1-11-11111
χ7111111-1-1111111-1-11111-1-1-11-1-11-111-1-11-11-11-1-1-1-111-1-111-1-1-111-1111-11-1-11-11-11
χ8111111-1-1111111-1-11111-1-1-1-11-1-1111-1-11-11-11-1-1-1-11-111-1-11-11-1-11111-1-11-111-11-1
χ911111-11-111111-11-11111-1-1111111-1-111-11-111-1-1-1-11-1-111111-1-111-1-1-11-1-1-1111-1-1
χ1011111-11-111111-11-11111-1-11-1-11-1-1-1-111-11-111-1-1-1-1111-1-1-1-1111-1-1-1-1-1111-11-1-111
χ1111111-11-111111-11-11111-1-1-11-1-11-111-1-1-11-111-1-1-11-1-111-11-1-1-111-111-11-111-11-1-11
χ1211111-11-111111-11-11111-1-1-1-11-1-1111-1-1-11-111-1-1-11-11-1-11-11-11-1-1111-111-11-1-111-1
χ1311111-1-1111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111
χ1411111-1-1111111-1-111111111-1-11-1-11111-1-1-1-11111-1-11111-1-11-1-1-1-111-1-111-1-111-1-1
χ1511111-1-1111111-1-11111111-11-1-11-1-1-1-1-1-1-1-1-1111111-11-111-1-11-11-1-1-1-1-1-1111-111-1
χ1611111-1-1111111-1-11111111-1-11-1-11-1-1-1-1-1-1-1-11111111-11-1-11-1-11-11-1-1-1-11-1111-1-11
χ172222222222-1-12222-1-1-12-1-120020022-1-1-1-122-12-1-122000000-10000-1-1-1-100-1-10000
χ182222222222-1-12222-1-1-12-1-1-200-200-2-211-1-122-12-1-1-2-20000001000011-1-100110000
χ19222222222-122-1222-1-12-122002002000022-1-1-1-1-1-10002020-10020-100-1-10-1000-10-1
χ20222222222-122-1222-1-12-12200-200-2000022-1-1-1-1-1-1000-20-20100-20100-1-101000101
χ21222222-2-222-1-122-2-2-1-1-1211200200-2-2-1-1-112-2-1-2112-2000000-1000011-1100-110000
χ22222222-2-222-1-122-2-2-1-1-1211-200-2002211-112-2-1-211-2200000010000-1-1-11001-10000
χ23222222-2-22-122-12-2-2-1-12-1-2-200200200002-2-11-111100020-20-100-20-100-110-1000101
χ24222222-2-22-122-12-2-2-1-12-1-2-200-200-200002-2-11-1111000-202010020100-1101000-10-1
χ2522222-22-222-1-12-22-2-1-1-1211200200-2-2-1-11-1-22-1-211-22000000-10000111-1001-10000
χ2622222-22-222-1-12-22-2-1-1-1211-200-20022111-1-22-1-2112-200000010000-1-11-100-110000
χ2722222-22-22-122-1-22-2-1-12-1-2-20020020000-221-1-1111000-2020-100-20-1001-101000-101
χ2822222-22-22-122-1-22-2-1-12-1-2-200-200-20000-221-1-111100020-20100201001-10-100010-1
χ2922222-2-2222-1-12-2-22-1-1-12-1-120020022-1-111-2-2-12-1-1-2-2000000-10000-1-11100110000
χ3022222-2-2222-1-12-2-22-1-1-12-1-1-200-200-2-21111-2-2-12-1-12200000010000111100-1-10000
χ3122222-2-222-122-1-2-22-1-12-1220020020000-2-211-1-1-1-1000-20-20-10020-100110100010-1
χ3222222-2-222-122-1-2-22-1-12-12200-200-20000-2-211-1-1-1-10002020100-20100110-1000-101
χ33222-22000-2222200022-2-20022-2-2-2200-2-20000-20000000002-2200-22000000000000
χ34222-22000-2222200022-2-2002-22-22-200-2-20000-2000000000-222002-2000000000000
χ35222-22000-2222200022-2-200-2222-2-200220000-200000000022-200-2-2000000000000
χ36222-22000-2222200022-2-200-2-2-222200220000-2000000000-2-2-20022000000000000
χ37444444444-2-2-2-244411-2-2-2-20000000000-2-2-2-21-2110000000000000001100000000
χ38444444-4-44-2-2-2-24-4-411-2-2220000000000-22-2212-1-10000000000000001-100000000
χ3944444-44-44-2-2-2-2-44-411-2-22200000000002-22-212-1-1000000000000000-1100000000
χ4044444-4-444-2-2-2-2-4-4411-2-2-2-2000000000022221-211000000000000000-1-100000000
χ41444-44000-44-2-24000-2-22-400400-40000220000200000000000-20000000000000000
χ42444-44000-44-2-24000-2-22-400-40040000-2-2000020000000000020000000000000000
χ43444-44000-4-244-2000-2-2-420000400-40000000020000000000-200002000000000000
χ44444-44000-4-244-2000-2-2-420000-4004000000002000000000020000-2000000000000
χ454-440-4000044-4-40004-40000000000−2i22i200000000000000000000000−2i22i20000000000
χ464-440-4000044-4-40004-400000000002i2−2i2000000000000000000000002i2−2i20000000000
χ474-440-400004-22-4000-2200i6−i6000000−2i22i223−23000000i6−i60000000000000i2−i20000000000
χ484-440-400004-22-4000-2200i6−i60000002i2−2i2−2323000000i6−i60000000000000−i2i20000000000
χ494-440-400004-22-4000-2200−i6i6000000−2i22i2−2323000000−i6i60000000000000i2−i20000000000
χ504-440-400004-22-4000-2200−i6i60000002i2−2i223−23000000−i6i60000000000000−i2i20000000000
χ5166-36-3666-30000-3-3-3000000020020000000000000002020-10020-100000-1000-10-10
χ5266-36-3666-30000-3-3-30000000-200-2000000000000000-20-20100-2010000010001010
χ5366-36-36-6-6-30000-3330000000200200000000000000020-20-100-20-100000-10001010
χ5466-36-36-6-6-30000-3330000000-200-2000000000000000-2020100201000001000-10-10
χ5566-36-3-66-6-300003-3300000002002000000000000000-2020-100-20-1000001000-1010
χ5666-36-3-66-6-300003-330000000-200-200000000000000020-2010020100000-100010-10
χ5766-36-3-6-66-3000033-300000002002000000000000000-20-20-10020-100000100010-10
χ5866-36-3-6-66-3000033-30000000-200-20000000000000002020100-20100000-1000-1010
χ59888-88000-8-4-4-4-400022440000000000000000-20000000000000000000000000000
χ608-880-80000-48-84000-4400000000000000000000000000000000000000000000000
χ618-880-80000-4-4440002-2002i6−2i60000000000000000−i6i60000000000000000000000000
χ628-880-80000-4-4440002-200−2i62i60000000000000000i6−i60000000000000000000000000
χ631212-6-12-6000600000000000000400-40000000000000000000-2000020000000000000
χ641212-6-12-6000600000000000000-4004000000000000000000020000-20000000000000
χ6524-24-12012000000000000000000000000000000000000000000000000000000000000

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