Finite Group Databasebeta

← Group #11887172

Character table — Group #11887172

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order1222222244336666666666666612121212224466661212121244888822444466661212121212121212444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ5111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1-11-1-1-111-1-1
χ6111111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-1-111-11-111-1-111
χ7111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-1-11111-1-1-11-111-1-111
χ8111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1111111-1-111-11-1-1-111-1-1
χ91111-1-111-1-111111111-1-111-1-111-1-1-1-1111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-11-1-1-1-111
χ101111-1-111-1-111111111-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-111111-1-1
χ111111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-11-111-1-1-1-111-1-111-1-111111-1-1
χ121111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1111-1-1111111-1-1-1-11-1-1-1-111
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-11-1-111-1-1-1-1
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-11111111-1-1-1-11111
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-11111111-1-1-1-1-1-11-1-1-1-11111
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11111-1-1-1-111111-1-111-1-1-1-1
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-22222222222-2-222-2-2-2-2-2-2000000000000-2-200000000000000000000002-22000000
χ192222-2-222-2-222222222-2-222-2-222-2-2-2-2000000000000-2-2000000000000000000000022-2000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000-2-20000000000000000000000-222000000
χ2122-2-22-22-22-222-2-22-22-22-22-22-22-22-22-200000000000000−i2−i2i2i2000000000000000000000−i2i2−i2i2−i2i2
χ2222-2-22-22-22-222-2-22-22-22-22-22-22-22-22-200000000000000i2i2−i2−i2000000000000000000000i2−i2i2−i2i2−i2
χ2322-2-22-2-22-2222-2-22-22-22-2-222-2-22-22-2200000000000000−i2−i2i2i2000000000000000000000i2−i2−i2i2i2−i2
χ2422-2-22-2-22-2222-2-22-22-22-2-222-2-22-22-2200000000000000i2i2−i2−i2000000000000000000000−i2i2i2−i2−i2i2
χ2522-2-2-222-2-2222-2-22-22-2-222-2-222-2-22-2200000000000000−i2−i2i2i2000000000000000000000i2−i2i2−i2−i2i2
χ2622-2-2-222-2-2222-2-22-22-2-222-2-222-2-22-2200000000000000i2i2−i2−i2000000000000000000000−i2i2−i2i2i2−i2
χ2722-2-2-22-222-222-2-22-22-2-22-22-22-222-22-200000000000000−i2−i2i2i2000000000000000000000−i2i2i2−i2i2−i2
χ2822-2-2-22-222-222-2-22-22-2-22-22-22-222-22-200000000000000i2i2−i2−i2000000000000000000000i2−i2−i2i2−i2i2
χ292-2-22000000222-2-22-2-20000000000002-22i−2i22-2-22i2i−2i−2i2-22i−2i2i−2i000000000000000000000000000
χ302-2-22000000222-2-22-2-20000000000002-2−2i2i22-2-2−2i−2i2i2i2-2−2i2i−2i2i000000000000000000000000000
χ312-2-22000000222-2-22-2-2000000000000-222i−2i-2-2222i2i−2i−2i2-2−2i2i−2i2i000000000000000000000000000
χ322-2-22000000222-2-22-2-2000000000000-22−2i2i-2-222−2i−2i2i2i2-22i−2i2i−2i000000000000000000000000000
χ3344444444441-2-2-211-211111-2-2-2-211-2-200220000-1-1-1-10000000002220000-1-100-1-1-1-1000000000
χ3444444444441-2-2-211-211111-2-2-2-211-2-200-2-200001111000000000-2-2-2000011001111000000000
χ354444444444-2111-2-21-2-2-2-2-21111-2-2112200-1-1-1-10000000000222000-1-1-1-100-1-10000000000000
χ364444444444-2111-2-21-2-2-2-2-21111-2-211-2-20011110000000000-2-2-2000111100110000000000000
χ37444444-4-4-4-41-2-2-211-2111-1-1-2-222-1-12200220000-1-1-1-10000000002-2-200001100-1-111000000000
χ38444444-4-4-4-41-2-2-211-2111-1-1-2-222-1-12200-2-200001111000000000-2220000-1-10011-1-1000000000
χ39444444-4-4-4-4-2111-2-21-2-2-22211-1-122-1-12200-1-1-1-100000000002-2-2000-1-11100110000000000000
χ40444444-4-4-4-4-2111-2-21-2-2-22211-1-122-1-1-2-20011110000000000-22200011-1-100-1-10000000000000
χ414444-4-444-4-41-2-2-211-21-1-11122-2-2-1-12200220000-1-1-1-1000000000-22-20000110011-1-1000000000
χ424444-4-444-4-41-2-2-211-21-1-11122-2-2-1-12200-2-2000011110000000002-220000-1-100-1-111000000000
χ434444-4-444-4-4-2111-2-21-222-2-2-1-11122-1-12200-1-1-1-10000000000-22-200011-1-100110000000000000
χ444444-4-444-4-4-2111-2-21-222-2-2-1-11122-1-1-2-200111100000000002-22000-1-11100-1-10000000000000
χ454444-4-4-4-4441-2-2-211-21-1-1-1-1222211-2-200220000-1-1-1-1000000000-2-220000-1-1001111000000000
χ464444-4-4-4-4441-2-2-211-21-1-1-1-1222211-2-200-2-20000111100000000022-200001100-1-1-1-1000000000
χ474444-4-4-4-444-2111-2-21-22222-1-1-1-1-2-2112200-1-1-1-10000000000-2-22000111100-1-10000000000000
χ484444-4-4-4-444-2111-2-21-22222-1-1-1-1-2-211-2-2001111000000000022-2000-1-1-1-100110000000000000
χ4944-4-44-44-44-41-2221-1-2-11-11-1-22-221-1-22000000003−33−300000000000000003−3003−33−3000000000
χ5044-4-44-44-44-41-2221-1-2-11-11-1-22-221-1-2200000000−33−330000000000000000−3300−33−33000000000
χ5144-4-44-44-44-4-21-1-1-2212-22-221-11-1-221-10000−i3i3−i3i30000000000000000−i3i3−i3i300−i3i30000000000000
χ5244-4-44-44-44-4-21-1-1-2212-22-221-11-1-221-10000i3−i3i3−i30000000000000000i3−i3i3−i300i3−i30000000000000
χ5344-4-44-4-44-441-2221-1-2-11-1-11-222-2-112-2000000003−33−30000000000000000−33003−3−33000000000
χ5444-4-44-4-44-441-2221-1-2-11-1-11-222-2-112-200000000−33−3300000000000000003−300−333−3000000000
χ5544-4-44-4-44-44-21-1-1-2212-222-21-1-112-2-110000−i3i3−i3i30000000000000000−i3i3i3−i300i3−i30000000000000
χ5644-4-44-4-44-44-21-1-1-2212-222-21-1-112-2-110000i3−i3i3−i30000000000000000i3−i3−i3i300−i3i30000000000000
χ5744-4-4-444-4-441-2221-1-2-1-111-12-2-22-112-2000000003−33−30000000000000000−3300−333−3000000000
χ5844-4-4-444-4-441-2221-1-2-1-111-12-2-22-112-200000000−33−3300000000000000003−3003−3−33000000000
χ5944-4-4-444-4-44-21-1-1-22122-2-22-111-12-2-110000−i3i3−i3i30000000000000000i3−i3−i3i300i3−i30000000000000
χ6044-4-4-444-4-44-21-1-1-22122-2-22-111-12-2-110000i3−i3i3−i30000000000000000−i3i3i3−i300−i3i30000000000000
χ6144-4-4-44-444-41-2221-1-2-1-11-112-22-21-1-22000000003−33−300000000000000003−300−33−33000000000
χ6244-4-4-44-444-41-2221-1-2-1-11-112-22-21-1-2200000000−33−330000000000000000−33003−33−3000000000
χ6344-4-4-44-444-4-21-1-1-22122-22-2-11-11-221-10000−i3i3−i3i30000000000000000i3−i3i3−i300−i3i30000000000000
χ6444-4-4-44-444-4-21-1-1-22122-22-2-11-11-221-10000i3−i3i3−i30000000000000000−i3i3−i3i300i3−i30000000000000
χ654-44-400000044-44-4-4-440000000000000000000000000022−22−2222000000000000000000000000000
χ664-44-400000044-44-4-4-4400000000000000000000000000−222222−22000000000000000000000000000
χ674-4-44000000444-4-44-4-4000000000000000000000000-440000000000000000000000000000000
χ688-88-80000002-44-4-2-24200000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ698-88-80000002-44-4-2-242000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ708-88-8000000-42-2244-2-40000000000000000−2i32i32i3−2i30000000000000000000000000000000000000
χ718-88-8000000-42-2244-2-400000000000000002i3−2i3−2i32i30000000000000000000000000000000000000
χ728-8-880000002-4-44-224-2000000000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000
χ738-8-880000002-4-44-224-200000000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000
χ748-8-88000000-422-24-4-240000000000004-400-2-2220000000000000000000000000000000000000
χ758-8-88000000-422-24-4-24000000000000-440022-2-20000000000000000000000000000000000000

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