Finite Group Databasebeta

← Group #11867837

Character table — Group #11867837

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order12224422336666661212121266662244888824444444661212121212124488888812121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-111-11-1-111-1-1-1-11111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-11-1-11-111-1-11111-1-111-1-1-1-1-1-1-1-111
χ5111111-1-1111111111111-1-1-1-11111111111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1
χ6111111-1-1111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ7111111-1-1111111111111-1-1-1-11111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-1-111
χ8111111-1-1111111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ91111-1-11-111111111-1-1-1-11-11-1-1-1111111111-1-1-11-11111-1-1-1-11-1-1-111-1-11-11-1
χ101111-1-11-111111111-1-1-1-11-11-1-1-1111111-1-1-1111-11-1-1-1-111111-1-1-111-1-1-11-11
χ111111-1-11-111111111-1-1-1-11-11-1-1-111-1-1-1-11-11-11-1-1111-1-111-1-11-111-1-1111-1-11
χ121111-1-11-111111111-1-1-1-11-11-1-1-111-1-1-1-1-11-11-111-1-1-111-1-1111-111-1-111-111-1
χ131111-1-1-1111111111-1-1-1-1-11-11-1-111111111-11-1-1-111111-1-1-1-1-11-1-1-1-111-11-11
χ141111-1-1-1111111111-1-1-1-1-11-11-1-1111111-1-11-1111-1-1-1-1-11111-11-1-1-1-1111-11-1
χ151111-1-1-1111111111-1-1-1-1-11-11-1-111-1-1-1-11-1-111-11-111-1-111-1-1-111111-1-1-111-1
χ161111-1-1-1111111111-1-1-1-1-11-11-1-111-1-1-1-1-111-1-11-11-1-111-1-111-111111-1-11-1-11
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ18222222-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-22-222222222-2-2-2-22-22-222-2-200000000000000000000-220000000000
χ202222-2-2-2222222222-2-2-2-2-22-2222-2-2000000000000000000002-20000000000
χ212-2-222-20022-2-2-22-222-22-200002-22-22i2i−2i−2i0000000000000000002i−2i00000000
χ222-2-222-20022-2-2-22-222-22-200002-22-2−2i−2i2i2i000000000000000000−2i2i00000000
χ232-2-222-20022-2-2-22-222-22-20000-22-220000000000000000000000002-22-20000
χ242-2-222-20022-2-2-22-222-22-20000-22-22000000000000000000000000-22-220000
χ252-2-22-220022-2-2-22-22-22-2200002-2-220000000000000000000000002-2-220000
χ262-2-22-220022-2-2-22-22-22-2200002-2-22000000000000000000000000-222-20000
χ272-2-22-220022-2-2-22-22-22-220000-222-22i2i−2i−2i000000000000000000−2i2i00000000
χ282-2-22-220022-2-2-22-22-22-220000-222-2−2i−2i2i2i0000000000000000002i−2i00000000
χ29444444441-2-211-2-21-2-21111-2-2000000000200202200-1-1-1-1000000000000-1-1
χ30444444441-2-211-2-21-2-21111-2-2000000000-200-20-2-200111100000000000011
χ3144444444-211-2-211-211-2-2-2-2110000000020220200-1-10000-1-100000000-1-100
χ3244444444-211-2-211-211-2-2-2-21100000000-20-2-20-20011000011000000001100
χ33444444-4-41-2-211-2-21-2-211-1-12200000000020020-2-200-1-1-1-100000000000011
χ34444444-4-41-2-211-2-21-2-211-1-122000000000-200-2022001111000000000000-1-1
χ35444444-4-4-211-2-211-211-2-222-1-10000000020-2-20200-1-10000-1-1000000001100
χ36444444-4-4-211-2-211-211-2-222-1-100000000-20220-2001100001100000000-1-100
χ374444-4-44-41-2-211-2-2122-1-11-1-22000000000200-202-200-1-111000000000000-11
χ384444-4-44-41-2-211-2-2122-1-11-1-22000000000-20020-220011-1-10000000000001-1
χ394444-4-44-4-211-2-211-2-1-122-221-100000000202-20-200-1-100001100000000-1100
χ404444-4-44-4-211-2-211-2-1-122-221-100000000-20-220200110000-1-1000000001-100
χ414444-4-4-441-2-211-2-2122-1-1-112-2000000000200-20-2200-1-1110000000000001-1
χ424444-4-4-441-2-211-2-2122-1-1-112-2000000000-200202-20011-1-1000000000000-11
χ434444-4-4-44-211-2-211-2-1-1222-2-110000000020-220-200-1-1000011000000001-100
χ444444-4-4-44-211-2-211-2-1-1222-2-1100000000-202-20200110000-1-100000000-1100
χ4544-4-400004444-4-4-4-400000000000022−2222−220000000000000000000000000000
χ4644-4-400004444-4-4-4-4000000000000−2222−22220000000000000000000000000000
χ474-44-4000044-4-44-44-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ484-44-4000044-4-44-44-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ4988-8-800002-4-42-244-2000000000000000000000000000023−2300000000000000
χ5088-8-800002-4-42-244-20000000000000000000000000000−232300000000000000
χ5188-8-80000-422-44-2-2400000000000000000000000000000023−23000000000000
χ5288-8-80000-422-44-2-24000000000000000000000000000000−2323000000000000
χ538-88-800002-44-224-4-20000000000000000000000000023−230000000000000000
χ548-88-800002-44-224-4-200000000000000000000000000−23230000000000000000
χ558-88-80000-42-24-4-224000000000000000000000000−2i32i3000000000000000000
χ568-88-80000-42-24-4-2240000000000000000000000002i3−2i3000000000000000000
χ578-8-888-8002-44-2-2-442-442-20000000000000000000000000000000000000000
χ588-8-888-800-42-2442-2-42-2-440000000000000000000000000000000000000000
χ598-8-88-88002-44-2-2-4424-4-220000000000000000000000000000000000000000
χ608-8-88-8800-42-2442-2-4-224-40000000000000000000000000000000000000000

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