Finite Group Databasebeta

← Group #11897596

Character table — Group #11897596

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order12223344666666366612121212448121212122424242424242424224444888812121212121212121244444661212122424242422412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-1-1-111111111111-1-11-1-1111-1-1-1-111-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-1-1-11-1111-1-1-1-11111111-1-1-111-1-1-11111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-111-1-111-1-1111111-1-1-1-1-1-11-1-111-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-11-111-1-111-11-111-1-1-1-1-11-1111-1-111-1-111-1-11-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-11-111-1-1-1-11-11-1-1-111-1-11111-11-11-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-111-1-11111-1-1-1-1-1-11111-1-1111-11-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-11-11-1-111-1-1-11-111-111-1-111-1-1-1-11-111
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-11111-1-1111-1-1-11111111-1-11-1-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11-1-1111111-1-1-1111-1-1-1-111111-1-1-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1111-11-1-111-1-11-11-1-11-1-111-1-1-1-1-11-1111
χ131111111111111111111111-1-11-1-1111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-111-11-1-11-1
χ141111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-11
χ151111111111111111111111-1-11-1-11111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-11111111-1-11-1-1-1-11
χ161111111111111111111111-1-11-1-11111111111-1-11-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000000022-2-20000-2-20000000220000022-2000000-200000
χ18222222-2-22222222222-2-2-2-200000-2-200000000002-2-220000-2-20000000-2-2000002-22000000200000
χ19222222-2-22222222222-2-2-2-200000-2-20000000000-222-20000220000000-2-200000-22-2000000200000
χ20222222-2-22222222222-2-2-2-200000-2-20000000000-2-22200002200000002200000-2-22000000-200000
χ2122222-1222-1-12-12-1-1-1-1-122-1222-1-1-1-122-1-1-1-1-1-12220200022-1-1-122-1-1-1-100200-1-1-10000-1-1000-10000
χ2222222-1222-1-12-12-1-1-1-1-122-1222-1-1-1-122-1-1-1-1-1-1-2-2-20-2000-2-211-122-1-1-1-100-20011100001100010000
χ2322222-1222-1-12-12-1-1-1-1-122-12-2-2-1-1-1-1-2-211111122202000-2-2-1-112-2-1-11100-200-1-1-100001100010000
χ2422222-1222-1-12-12-1-1-1-1-122-12-2-2-1-1-1-1-2-2111111-2-2-20-2000221112-2-1-111002001110000-1-1000-10000
χ2522222-1222-1-12-12-1-1-1-1-122-1-22-211-1-1-2-211111122-20-20002211-1-2211-1-100-200-1-110000-1-100010000
χ2622222-1222-1-12-12-1-1-1-1-122-1-22-211-1-1-2-2111111-2-2202000-2-2-1-1-1-2211-1-10020011-1000011000-10000
χ2722222-1222-1-12-12-1-1-1-1-122-1-2-2211-1-122-1-1-1-1-1-122-20-2000-2-2111-2-2111100200-1-11000011000-10000
χ2822222-1222-1-12-12-1-1-1-1-122-1-2-2211-1-122-1-1-1-1-1-1-2-220200022-1-11-2-2111100-20011-10000-1-100010000
χ292222-1222-122-12-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-10002022200002-1-1-1-1-1-100022000-1-1-1-1000000-1-100
χ302222-1222-122-12-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1000-20-2-2-200002-1-1-1-1-1-1000-2-200011110000001100
χ312222-1222-122-12-1-1-1-1-12-1-122-2-222-1-111-2-21111000202-2-20000-2-11-1-111000-22000-1-1110000001-100
χ322222-1222-122-12-1-1-1-1-12-1-122-2-222-1-111-2-21111000-20-2220000-2-11-1-1110002-200011-1-1000000-1100
χ332222-1222-122-12-1-1-1-1-12-1-12-22-2-2-2-1-111-2-21111000202-2-2000021-111-1-10002-2000-1-111000000-1100
χ342222-1222-122-12-1-1-1-1-12-1-12-22-2-2-2-1-111-2-21111000-20-222000021-111-1-1000-2200011-1-10000001-100
χ352222-1222-122-12-1-1-1-1-12-1-12-2-22-2-2-1-1-1-122-1-1-1-1000202220000-2111111000-2-2000-1-1-1-10000001100
χ362222-1222-122-12-1-1-1-1-12-1-12-2-22-2-2-1-1-1-122-1-1-1-1000-20-2-2-20000-2111111000220001111000000-1-100
χ3722-2-2222-222-2-2-2-22-22-22-22-2000002-2000000002-200002-200000000000000002-20002-2002-2000000
χ3822-2-2222-222-2-2-2-22-22-22-22-2000002-2000000002-20000-2200000000000000002-2000-2200-22000000
χ3922-2-2222-222-2-2-2-22-22-22-22-2000002-200000000-2200002-20000000000000000-220002-200-22000000
χ4022-2-2222-222-2-2-2-22-22-22-22-2000002-200000000-220000-220000000000000000-22000-22002-2000000
χ4144444-2-4-44-2-24-24-2-2-2-22-4-420000022000000000040-4000002200000000000000-200000000000000
χ4244444-2-4-44-2-24-24-2-2-2-22-4-4200000220000000000-40400000-2-200000000000000200000000000000
χ434444-24-4-4-244-24-2-2-2-2-2-422-400000220000000000040-4000000000000000000000-22000000000000
χ444444-24-4-4-244-24-2-2-2-2-2-422-4000002200000000000-4040000000000000000000002-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-2-211110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-10000000000002-2211-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-1000000000000-22-2-1-1110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-21111000000000000222-1-1-1-10000000000000000000000
χ4944-4-444-4444-4-4-4-44-44-4-44-4400000-440000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-42-4-22-22-2-44200000-22000000004-40000000000000000000000-22000000000000000
χ5144-4-44-24-44-22-42-4-22-22-2-44200000-2200000000-4400000000000000000000002-2000000000000000
χ5244-4-44-2-444-22-42-4-22-2224-4-200023−232-20000000000000000000000023−23000000000000000000000000
χ5344-4-44-2-444-22-42-4-22-2224-4-2000−23232-200000000000000000000000−2323000000000000000000000000
χ5444-4-4-244-4-24-42-42-22-2242-2-400000-22000000000000004-4000000000000000000000-220000000000
χ5544-4-4-244-4-24-42-42-22-2242-2-400000-2200000000000000-440000000000000000000002-20000000000
χ5644-4-4-24-44-24-42-42-22-22-4-224000002-2−2i32i300−2i3−2i32i32i300000000000000000000000000000000000000000
χ5744-4-4-24-44-24-42-42-22-22-4-224000002-22i3−2i3002i32i3−2i3−2i300000000000000000000000000000000000000000
χ5844-4-4-2-2-44-2-222221-11-12-22-200023−23-11−2i32i300i3i3−i3−i3000000000000000−333i−3i0000000000000000000000
χ5944-4-4-2-2-44-2-222221-11-12-22-200023−23-112i3−2i300−i3−i3i3i3000000000000000−33−3i3i0000000000000000000000
χ6044-4-4-2-2-44-2-222221-11-12-22-2000−2323-11−2i32i300i3i3−i3−i30000000000000003−3−3i3i0000000000000000000000
χ6144-4-4-2-2-44-2-222221-11-12-22-2000−2323-112i3−2i300−i3−i3i3i30000000000000003−33i−3i0000000000000000000000
χ624-44-44400-4-4-444-444-4-4000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ634-44-44400-4-4-444-444-4-40000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ644-44-44-200-4224-2-4-2-2220000000000000i6−i6i6−i6i6−i600000000−2i22i223−230000000000000000000i2−i200000000
χ654-44-44-200-4224-2-4-2-2220000000000000i6−i6i6−i6i6−i6000000002i2−2i2−23230000000000000000000−i2i200000000
χ664-44-44-200-4224-2-4-2-2220000000000000−i6i6−i6i6−i6i600000000−2i22i2−23230000000000000000000i2−i200000000
χ674-44-44-200-4224-2-4-2-2220000000000000−i6i6−i6i6−i6i6000000002i2−2i223−230000000000000000000−i2i200000000
χ684-4-444400-4-44-4-444-4-44000000000000000000000000000000000000004-400000000000000000000
χ694-4-444400-4-44-4-444-4-4400000000000000000000000000000000000000-4400000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-8-4-48-8-4-444442-22-2-44-44000002-20000000000000000000000000000000000000000000000000
χ728-88-8-48004-8-8-484-4-444000000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400444-4-4422-2-200000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ748-88-8-4-400444-4-4422-2-20000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ758-8-888-400-84-4-848-444-4000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-884-8-4-444-4000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40044-444-42-2-2200000000000000032−32−323200000000000000000000000000000000000000000
χ788-8-88-4-40044-444-42-2-22000000000000000−323232−3200000000000000000000000000000000000000000

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