Finite Group Databasebeta

← Group #11888688

Character table — Group #11888688

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order122233446666663666121212124444812121212242424242424242422244881212121212121212122446668121224242424244488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11-1-111-11-1111-111-1-1-1-111-1-1-1-1-11-11
χ41111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-11-1-111-1-11111-1-1-1-1-111-1-11111-1-11-1
χ5111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-111-1-11111-111-1-11-111-1-1-111-1-1-1-11111-1-11-11-1
χ6111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111-111-1-111-11-1-1-1-1-1-1-111-1-1-1-11111-11
χ7111111111111111111111111-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-1
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111-1-1-1111
χ91111111111111111111111-1-1111111111111111-1-1-11111-1-11111111-111-1-1-1-111-1-111-1-1-1-1-1-1-111-1
χ101111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-1-111111-1-1-1-1111111-1-1
χ121111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-11-1-1-11-1-1111111-1-1-1-11-111
χ131111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-1-11-11111111-1-1-1-1-1-111-1-111
χ141111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-111-1-1-11-1-1111-1-111111111-1-1-11-1-1
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-11-1-1-111-111-1-111-1-111-1-11-1-11
χ161111111111111111111111-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-111-1-111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2002-200220000000000-20002-200002-200000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-200-2200220000000000-2000-220000-2200000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002002-200-2-2000000000020002-20000-2200000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-200000000200-2200-2-200000000002000-2200002-200000000
χ2122222-122-1-12-122-1-1-1-1-12-1222222-1-1-1-122-1-1-1-1-1-12220000-1-1-122-1-1-1-1200-1-1-1200-1-100000000-1000
χ2222222-122-1-12-122-1-1-1-1-12-12222-2-2-1-1-1-1-2-21111112220000-1-11-2211-1-1-200-1-1-1-20011000000001000
χ2322222-122-1-12-122-1-1-1-1-12-1222-22-211-1-1-2-21111112-2-20000-1-1-12-2-1-111200-111-2001100000000-1000
χ2422222-122-1-12-122-1-1-1-1-12-1222-2-2211-1-122-1-1-1-1-1-12-2-20000-1-11-2-21111-200-111200-1-1000000001000
χ2522222-122-1-12-122-1-1-1-1-12-12-2-2222-1-1-1-122-1-1-1-1-1-1-2-2-2000011-122-1-1-1-1-200111-20011000000001000
χ2622222-122-1-12-122-1-1-1-1-12-12-2-22-2-2-1-1-1-1-2-2111111-2-2-20000111-2211-1-1200111200-1-100000000-1000
χ2722222-122-1-12-122-1-1-1-1-12-12-2-2-22-211-1-1-2-2111111-222000011-12-2-1-111-2001-1-1200-1-1000000001000
χ2822222-122-1-12-122-1-1-1-1-12-12-2-2-2-2211-1-122-1-1-1-1-1-1-2220000111-2-211112001-1-1-2001100000000-1000
χ292222-122222-12-1-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-10002222002-1-1-1-1-1-10220000-1-100-1-10000000-1-10
χ302222-122222-12-1-1-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1000-2-2-2-2002-1-1-1-1-1-10-2-200001100110000000110
χ312222-122222-12-1-1-1-1-1-12-12-1002-2-222-1-111-2-2111100022-2-200-21-111-1-102-20000-1-100110000000-110
χ322222-122222-12-1-1-1-1-1-12-12-1002-2-222-1-111-2-21111000-2-22200-21-111-1-10-2200001100-1-100000001-10
χ332222-122222-12-1-1-1-1-1-12-12-100-22-2-2-2-1-111-2-2111100022-2-2002-11-1-1110-220000-1-1001100000001-10
χ342222-122222-12-1-1-1-1-1-12-12-100-22-2-2-2-1-111-2-21111000-2-222002-11-1-11102-200001100-1-10000000-110
χ352222-122222-12-1-1-1-1-1-12-12-100-2-22-2-2-1-1-1-122-1-1-1-1000222200-21111110-2-20000-1-100-1-10000000110
χ362222-122222-12-1-1-1-1-1-12-12-100-2-22-2-2-1-1-1-122-1-1-1-1000-2-2-2-200-211111102200001100110000000-1-10
χ3722-2-2222-2-2-2-222-22-2-2222-2-20000000-220000000002-2002i−2i00000000000002-2000002i−2i002i−2i000000
χ3822-2-2222-2-2-2-222-22-2-2222-2-20000000-220000000002-200−2i2i00000000000002-200000−2i2i00−2i2i000000
χ3922-2-2222-2-2-2-222-22-2-2222-2-20000000-22000000000-22002i−2i0000000000000-22000002i−2i00−2i2i000000
χ4022-2-2222-2-2-2-222-22-2-2222-2-20000000-22000000000-2200−2i2i0000000000000-2200000−2i2i002i−2i000000
χ4144444-2-4-4-2-24-244-2-2-2-22-42-444000002200000000-4000000-2-2000000000020000000000000000000
χ4244444-2-4-4-2-24-244-2-2-2-22-42-4-4-40000022000000004000000220000000000-20000000000000000000
χ434444-24-4-444-24-2-2-2-2-2-2-42-42000000022000000000004-4000000000000000000-2200000000000000
χ444444-24-4-444-24-2-2-2-2-2-2-42-4200000002200000000000-440000000000000000002-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-2112222-1-1-1-100000000022-2-1-11100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422112222-1-1-1-1000000000-2-2211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-21111000000000222-1-1-1-100000000000000000000000
χ4944-4-444-44-4-4-444-44-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-422-4-24-4-222-2-242-400000002-20000000004-400000000000000000-2200000000000000000
χ5144-4-44-24-422-4-24-4-222-2-242-400000002-2000000000-44000000000000000002-200000000000000000
χ5244-4-44-2-4422-4-24-4-222-22-4-2400000−2i32i3-220000000000000000000000−2i32i300000000000000000000000
χ5344-4-44-2-4422-4-24-4-222-22-4-24000002i3−2i3-2200000000000000000000002i3−2i300000000000000000000000
χ5444-4-4-244-4-4-424-22-222-24-2-4200000002-200000000000004i−4i00000000000000000000−2i2i0000000000
χ5544-4-4-244-4-4-424-22-222-24-2-4200000002-20000000000000−4i4i000000000000000000002i−2i0000000000
χ5644-4-4-24-44-4-424-22-222-2-424-20000000-2223−23002323−23−23000000000000000000000000000000000000000
χ5744-4-4-24-44-4-424-22-222-2-424-20000000-22−232300−23−232323000000000000000000000000000000000000000
χ5844-4-4-2-2-44222-2-221-1-1122-2-200000−2i32i31-123−2300−3−3330000000000003i−3ii3−i300000000000000000000000
χ5944-4-4-2-2-44222-2-221-1-1122-2-200000−2i32i31-1−23230033−3−3000000000000−3i3ii3−i300000000000000000000000
χ6044-4-4-2-2-44222-2-221-1-1122-2-2000002i3−2i31-123−2300−3−333000000000000−3i3i−i3i300000000000000000000000
χ6144-4-4-2-2-44222-2-221-1-1122-2-2000002i3−2i31-1−23230033−3−30000000000003i−3i−i3i300000000000000000000000
χ624-44-44400-444-4-4-44-44-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ634-44-44400-444-4-4-44-44-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ644-4-4444004-4-4-4-4444-4-400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ654-4-4444004-4-4-4-4444-4-40000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ664-4-444-200-22-42-44-2-22200004i−4i000000000i6−i6i6−i6i6−i60000000−2i2i00000000000000006−6000000000000
χ674-4-444-200-22-42-44-2-22200004i−4i000000000−i6i6−i6i6−i6i60000000−2i2i0000000000000000−66000000000000
χ684-4-444-200-22-42-44-2-2220000−4i4i000000000i6−i6i6−i6i6−i600000002i−2i0000000000000000−66000000000000
χ694-4-444-200-22-42-44-2-2220000−4i4i000000000−i6i6−i6i6−i6i600000002i−2i00000000000000006−6000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-8-4-48-8444-4-442-2-22-4-4440000000-2200000000000000000000000000000000000000000000000
χ728-88-88-4004-484-8-8-44-44000000000000000000000000000000000000000000000000000000000000
χ738-88-8-4800-88-4-844-44-44000000000000000000000000000000000000000000000000000000000000
χ748-88-8-4-4004-4-44442-22-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ758-88-8-4-4004-4-44442-22-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ768-8-88-48008-84-84-4-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-44444-422-2-20000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ788-8-88-4-400-44444-422-2-2000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000

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