Finite Group Databasebeta

← Group #11896088

Character table — Group #11896088

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424244444121212122424242424244444488121212121212242424241212121212121244481212122424444412121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-11-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111-11-1111111-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-111-1
χ4111111111111111111111111111111-1-1-1-111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-11
χ51111111111111111111111111111-1-1111111111111111-11-1-1-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-11-1-11111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11-1-1111-111-111-11-1
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-111111-1-1111111-1-1-1-11-1-1-1-1111-1-1-1111-1-11-1-111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11-1-1-1-1111-111-1-1-111-111-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-11111-1-1-11-1111-111-1-1-1-1-11-111
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-11111-1-1-111-1-1-11-1-11111-111-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1111-1111-1-1-1-11111111-1-1-1-111-11-1-1111-1-1-111-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1111-1-1-1111-1-11-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-11111-1-11-1-1111-11111111-1-1-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11-1111-1-1-1-1111111-11111-1-11-11-1-1-11-1-1-1-1-1-11-1111
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000002-2-20022-2-2-2-200000000000000000200200-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-200000000-2-220022-2-22200000000000000000-200-200200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000000022-200-2-222-2-200000000000000000200-200200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-200000000-22200-2-2222200000000000000000-200200-200000
χ2122222-1222-12-12-1-1-1-1-1222-1-12-1-1-1-1222222-1-122-1-1-1-10002022-1-1-1-100-1-1-1-1-12-1-1-1-1-12200000000000-1-1000
χ2222222-1222-12-12-1-1-1-1-1222-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-10002022-1-1-1-100-1-1-1-11-211111-2-20000000000011000
χ2322222-1222-12-12-1-1-1-1-1222-1-12-1-1-1-1-2-22222-1-122-1-1-1-1000-20-2-21111001111-12-1-1-1-1-1-2-20000000000011000
χ2422222-1222-12-12-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1000-20-2-211110011111-2111112200000000000-1-1000
χ2522222-1222-12-12-1-1-1-1-1-2-22-1-121111222-222-1-1-2-2111100020-2-2-1-1-1-1001111-1-2111-1-12-200000000000-11000
χ2622222-1222-12-12-1-1-1-1-1-2-22-1-12111122-22-2-2-1-1-2-2111100020-2-2-1-1-1-100111112-1-1-111-22000000000001-1000
χ2722222-1222-12-12-1-1-1-1-1-2-22-1-121111-2-22-222-1-1-2-21111000-2022111100-1-1-1-1-1-2111-1-1-22000000000001-1000
χ2822222-1222-12-12-1-1-1-1-1-2-22-1-121111-2-2-22-2-2-1-1-2-21111000-2022111100-1-1-1-112-1-1-1112-200000000000-11000
χ292222-1222-12-12-12-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-122202000000-1-100002-12-1-1-1-10022-1-1-1-1-1000000-100
χ302222-1222-12-12-12-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-1-2-2-20-20000001100002-12-1-1-1-100-2-211111000000100
χ312222-1222-12-12-12-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-122-20-2000000110000-21-21111002-2-1-1111000000-100
χ322222-1222-12-12-12-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-1-2-2202000000-1-10000-21-2111100-2211-1-1-1000000100
χ332222-1222-12-12-12-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-111111122202000000-1-1000021-211-1-100-2-2-1-1-111000000100
χ342222-1222-12-12-12-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-1111111-2-2-20-200000011000021-211-1-10022111-1-1000000-100
χ352222-1222-12-12-12-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-111111122-20-2000000110000-2-12-1-11100-22-1-11-1-1000000100
χ362222-1222-12-12-12-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-1111111-2-2202000000-1-10000-2-12-1-111002-211-111000000-100
χ372-22-222-222-2-22-2-22-2-2200-22-220000000000-220000002i−2i0002i−2i0000002i2i−2i−2i000000000002i−2i00002-2000000
χ382-22-222-222-2-22-2-22-2-2200-22-220000000000-220000002i−2i000−2i2i000000−2i−2i2i2i000000000002i−2i0000-22000000
χ392-22-222-222-2-22-2-22-2-2200-22-220000000000-22000000−2i2i0002i−2i0000002i2i−2i−2i00000000000−2i2i0000-22000000
χ402-22-222-222-2-22-2-22-2-2200-22-220000000000-22000000−2i2i000−2i2i000000−2i−2i2i2i00000000000−2i2i00002-2000000
χ4144444-2-4-44-24-24-2-2-2-2-200-422-4000044000022000000000-4000-2-2220000000000000000000000000000000
χ4244444-2-4-44-24-24-2-2-2-2-200-422-40000-4-4000022000000000400022-2-20000000000000000000000000000000
χ434444-24-4-4-24-24-24-2-2-2-2002-4-420000000000220000000040-40000002200000000000000000-200000000000
χ444444-24-4-4-24-24-24-2-2-2-2002-4-4200000000002200000000-404000000-2-200000000000000000200000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-2-21111000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-2111100000000000000000222-1-1-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-222-1-111000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-2-211-1-1000000000000000000
χ4944-4-44400-444-4-4-444-4-400000000004-400000000000000000004-4000000000000000000000000000000000
χ5044-4-44400-444-4-4-444-4-40000000000-440000000000000000000-44000000000000000000000000000000000
χ5144-4-44-200-4-242-42-2-222000000i6i6−i6−i64-400000000i6i6−i6−i60000000-220000i6−i6i6−i60000000000000000000000000
χ5244-4-44-200-4-242-42-2-222000000i6i6−i6−i6-4400000000i6i6−i6−i600000002-20000−i6i6−i6i60000000000000000000000000
χ5344-4-44-200-4-242-42-2-222000000−i6−i6i6i64-400000000−i6−i6i6i60000000-220000−i6i6−i6i60000000000000000000000000
χ5444-4-44-200-4-242-42-2-222000000−i6−i6i6i6-4400000000−i6−i6i6i600000002-20000i6−i6i6−i60000000000000000000000000
χ554-44-4444-44-4-44-4-44-4-44004-44-400000000004-4000000000000000000000000000000000000000000000000
χ564-44-44-24-442-4-2-42-222-20042-2-423−2323−23000000-220023−2323−23000000000000000000000000000000000000000000
χ574-44-44-24-442-4-2-42-222-20042-2-4−2323−2323000000-2200−2323−2323000000000000000000000000000000000000000000
χ584-44-44-2-4442-4-2-42-222-200-4-22400000000002-2000000000004i−4i000000−2i−2i2i2i0000000000000000000000000
χ594-44-44-2-4442-4-2-42-222-200-4-22400000000002-200000000000−4i4i0000002i2i−2i−2i0000000000000000000000000
χ604-44-4-244-4-2-4242-4-222-200-2-44200000000−2i32i3-220000000000000000000000000000−2i32i3000000000000000000
χ614-44-4-244-4-2-4242-4-222-200-2-442000000002i3−2i3-2200000000000000000000000000002i3−2i3000000000000000000
χ624-44-4-24-44-2-4242-4-222-20024-4-200000000002-20000004i−4i00000000000000000000000000−2i2i000000000000
χ634-44-4-24-44-2-4242-4-222-20024-4-200000000002-2000000−4i4i000000000000000000000000002i−2i000000000000
χ644-44-4-2-24-4-222-2221-1-1100-22-2223−2323−230000−2i32i31-100−33−33000000000000000000003i−3ii3−i3000000000000000000
χ654-44-4-2-24-4-222-2221-1-1100-22-2223−2323−2300002i3−2i31-100−33−3300000000000000000000−3i3i−i3i3000000000000000000
χ664-44-4-2-24-4-222-2221-1-1100-22-22−2323−23230000−2i32i31-1003−33−300000000000000000000−3i3ii3−i3000000000000000000
χ674-44-4-2-24-4-222-2221-1-1100-22-22−2323−232300002i3−2i31-1003−33−3000000000000000000003i−3i−i3i3000000000000000000
χ684-4-444400-4-4-4-4444-44-4−2i22i20000−2i22i22i2−2i200000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ694-4-444400-4-4-4-4444-44-42i2−2i200002i2−2i2−2i22i2000000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ704-4-444-200-42-424-2-22-22−2i22i20000i2−i2−i2i200000000−2i22i2i2−i2−i2i2000000000−2i32i3006−6−660000000000000000000000000
χ714-4-444-200-42-424-2-22-22−2i22i20000i2−i2−i2i200000000−2i22i2i2−i2−i2i20000000002i3−2i300−666−60000000000000000000000000
χ724-4-444-200-42-424-2-22-222i2−2i20000−i2i2i2−i2000000002i2−2i2−i2i2i2−i2000000000−2i32i300−666−60000000000000000000000000
χ734-4-444-200-42-424-2-22-222i2−2i20000−i2i2i2−i2000000002i2−2i2−i2i2i2−i20000000002i3−2i3006−6−660000000000000000000000000
χ744-4-44-24002-42-4-24-22-22−2i22i20000−2i22i22i2−2i200000000i2−i2i2−i2−i2i200000000000−2i32i30000000000000000006−6000000000
χ754-4-44-24002-42-4-24-22-22−2i22i20000−2i22i22i2−2i200000000i2−i2i2−i2−i2i2000000000002i3−2i3000000000000000000−66000000000
χ764-4-44-24002-42-4-24-22-222i2−2i200002i2−2i2−2i22i200000000−i2i2−i2i2i2−i200000000000−2i32i3000000000000000000−66000000000
χ774-4-44-24002-42-4-24-22-222i2−2i200002i2−2i2−2i22i200000000−i2i2−i2i2i2−i2000000000002i3−2i30000000000000000006−6000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-480048-4-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4-444422-2-20000002i62i6−2i6−2i60000000000−i6−i6i6i6000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4-444422-2-2000000−2i6−2i62i62i60000000000i6i6−i6−i6000000000000000000000000000000000000000000
χ828-88-8-4-4-88-444-4442-2-22004-44-40000000000-22000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-42-22-2−4i24i200002i2−2i2−2i22i2000000002i2−2i2−i2i2i2−i2000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-42-22-24i2−4i20000−2i22i22i2−2i200000000−2i22i2i2−i2−i2i2000000000000000000000000000000000000000000

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