Finite Group Databasebeta

← Group #11773450

Character table — Group #11773450

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11111111448888888888888888999999993636363636363636363636363636363636363636363636363636
order12222222443666666612121212121212122222222244444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111-1-1-1-111-1111-1-1-1-111111-1-1-1-111-1-111-1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-111-1111-1-1-1-111111-1-1-1-111-1-111-1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-111-1111-1-1-1-111111-1-1-1-111-1-111-1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-111-1111-1-1-1-111111-1-1-1-111-1-111-1-11-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-11-11111-1-1-1-11-1-1-1-1111111-1-111-1-1-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-11-11111-1-1-1-11-1-1-1-1111111-1-111-1-1-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-11-11111-1-1-1-11-1-1-1-1111111-1-111-1-1-11-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-11-11111-1-1-1-11-1-1-1-1111111-1-111-1-1-11-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000
χ19222-2-2-2-222-2222-2-2-2-222222-2-2-2-2-2-222-2-222-22000000000000000000000000
χ20222-2-2-2-22-22222-2-2-2-22-2-2-2-22222-2-222-2-2222-2000000000000000000000000
χ2122-222-2-2-20022-222-2-2-200000000222-2-2-22-200000000002-22-2000000000000
χ2222-222-2-2-20022-222-2-2-200000000222-2-2-22-20000000000-22-22000000000000
χ2322-222-2-2-20022-222-2-2-200000000-2-2-2222-22000000000000002-22-200000000
χ2422-222-2-2-20022-222-2-2-200000000-2-2-2222-2200000000000000-22-2200000000
χ2522-2-2-222-20022-2-2-222-20000000022-22-2-2-2200000000002i−2i−2i2i000000000000
χ2622-2-2-222-20022-2-2-222-20000000022-22-2-2-220000000000−2i2i2i−2i000000000000
χ2722-2-2-222-20022-2-2-222-200000000-2-22-2222-2000000000000002i−2i−2i2i00000000
χ2822-2-2-222-20022-2-2-222-200000000-2-22-2222-200000000000000−2i2i2i−2i00000000
χ292-222-22-2-2002-222-22-2-2000000002-2222-2-2-20000002-22-20000000000000000
χ302-222-22-2-2002-222-22-2-2000000002-2222-2-2-2000000-22-220000000000000000
χ312-222-22-2-2002-222-22-2-200000000-22-2-2-2222002-22-200000000000000000000
χ322-222-22-2-2002-222-22-2-200000000-22-2-2-222200-22-2200000000000000000000
χ332-22-22-22-2002-22-22-22-2000000002-2-2-22-2220000002-2-220000000000000000
χ342-22-22-22-2002-22-22-22-2000000002-2-2-22-222000000-222-20000000000000000
χ352-22-22-22-2002-22-22-22-200000000-2222-22-2-2002-2-2200000000000000000000
χ362-22-22-22-2002-22-22-22-200000000-2222-22-2-200-222-200000000000000000000
χ372-2-22-2-222002-2-22-2-222000000002-22-2-22-2200000000000000000000002-22-2
χ382-2-22-2-222002-2-22-2-222000000002-22-2-22-220000000000000000000000-22-22
χ392-2-22-2-222002-2-22-2-22200000000-22-222-22-20000000000000000002i−2i2i−2i0000
χ402-2-22-2-222002-2-22-2-22200000000-22-222-22-2000000000000000000−2i2i−2i2i0000
χ412-2-2-222-22002-2-2-222-22000000002-2-22-222-200000000000000000000002i−2i−2i2i
χ422-2-2-222-22002-2-2-222-22000000002-2-22-222-20000000000000000000000−2i2i2i−2i
χ432-2-2-222-22002-2-2-222-2200000000-222-22-2-220000000000000000002-2-220000
χ442-2-2-222-22002-2-2-222-2200000000-222-22-2-22000000000000000000-222-20000
χ458888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ4688888888-8-8-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000
χ47888-8-8-8-888-8-1-1-11111-1-1-1-1-111110000000000000000000000000000000000
χ48888-8-8-8-88-88-1-1-11111-11111-1-1-1-10000000000000000000000000000000000
χ4988-888-8-8-800-1-11-1-11113i3i−3i−3i3i3i−3i−3i0000000000000000000000000000000000
χ5088-888-8-8-800-1-11-1-1111−3i−3i3i3i−3i−3i3i3i0000000000000000000000000000000000
χ5188-8-8-888-800-1-1111-1-113i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ5288-8-8-888-800-1-1111-1-11−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ538-888-88-8-800-11-1-11-1113i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000
χ548-888-88-8-800-11-1-11-111−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000
χ558-88-88-88-800-11-11-11-113i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ568-88-88-88-800-11-11-11-11−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ578-8-88-8-88800-111-111-1-13-3-333-3-330000000000000000000000000000000000
χ588-8-88-8-88800-111-111-1-1-333-3-333-30000000000000000000000000000000000
χ598-8-8-888-8800-1111-1-11-13-3-33-333-30000000000000000000000000000000000
χ608-8-8-888-8800-1111-1-11-1-333-33-3-330000000000000000000000000000000000

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