Finite Group Databasebeta

← Group #11889268

Character table — Group #11889268

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424244424121212122424242424242444466881212121224242424666612121244481212122424222412121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11111-1-111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-111-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ51111111111111111111111111111-1-1111111111111-11111-1-1-1-111-1-1-1-1-1-11111111-11-1111111-1-1-1-1-1-11-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-111111-11
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111-1-111-11-1
χ9111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-11111-1-1-11-1-1111-111-1-1-1-11-1-111
χ10111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-11-1-11111-1-11111-1-1-1-11111-1-1-111-1-1-1-11-1-111111-11-1-1
χ11111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1111-1-11-1111-1-1-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1111-1-1-11111-1-1-111-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11111-1111111-11-1-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-1-11-1-1-1-1-1-1-11111
χ15111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1111-1-111-1-11-1-1-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-1111-111-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-2002-2-2-200-2-22200000000000000000200002-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-200-22-2-200222200000000000000000-20000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002002-22200-2-2-2-20000000000000000020000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000200-22220022-2-200000000000000000-200002-200000
χ2122222-1222-1-1-122-1-1-1-122-12-12-1-1-1-1222222-1-122-1-1-1-120000-1-12200-1-1-1-1-1-12-1-1-1-1-1-12020000000000-1-1000
χ2222222-1222-1-1-122-1-1-1-122-12-12-1-1-1-122-2-2-2-2-1-122-1-1-1-120000-1-12200-1-1-1-1-1-1-2111111-20-2000000000011000
χ2322222-1222-1-1-122-1-1-1-122-12-12-1-1-1-1-2-22222-1-122-1-1-1-1-2000011-2-2001111112-1-1-1-1-1-1-20-2000000000011000
χ2422222-1222-1-1-122-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-2000011-2-200111111-21111112020000000000-1-1000
χ2522222-1222-1-1-122-1-1-1-1-2-2-12-121111222-2-2-2-1-1-2-2111120000-1-1-2-200-1-111112-1-1-111120-20000000000-11000
χ2622222-1222-1-1-122-1-1-1-1-2-2-12-12111122-2222-1-1-2-2111120000-1-1-2-200-1-11111-2111-1-1-1-20200000000001-1000
χ2722222-1222-1-1-122-1-1-1-1-2-2-12-121111-2-22-2-2-2-1-1-2-21111-2000011220011-1-1-1-12-1-1-1111-20200000000001-1000
χ2822222-1222-1-1-122-1-1-1-1-2-2-12-121111-2-2-2222-1-1-2-21111-2000011220011-1-1-1-1-2111-1-1-120-20000000000-11000
χ292222-1222-1222-1-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1022220000-1-1000000-12-1-12-1-10202-1-1-1-1-1000000-100
χ302222-1222-1222-1-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-10-2-2-2-2000011000000-12-1-12-1-10-20-211111000000100
χ312222-1222-1222-1-1-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-1022-2-20000110000001-211-211020-2-1-1111000000-100
χ322222-1222-1222-1-1-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-10-2-2220000-1-10000001-211-2110-20211-1-1-1000000100
χ332222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-1111111022-2-2000011000000-12-1-1-2110-202-1-11-1-1000000100
χ342222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-11111110-2-2220000-1-1000000-12-1-1-211020-211-111000000-100
χ352222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-200-22-1-1-1-1111111022220000-1-10000001-2112-1-10-20-2-1-1-111000000100
χ362222-1222-1222-1-1-1-1-1-1-2-22-12-1-2-2-2-200-22-1-1-1-11111110-2-2-2-20000110000001-2112-1-10202111-1-1000000-100
χ372-22-222-22-22-2-22-22-2-220022-2-200000000002-200000002i−2i00002i−2i00002i2i−2i−2i000000000002i−2i0002-20000000
χ382-22-222-22-22-2-22-22-2-220022-2-200000000002-200000002i−2i0000−2i2i0000−2i−2i2i2i000000000002i−2i000-220000000
χ392-22-222-22-22-2-22-22-2-220022-2-200000000002-20000000−2i2i00002i−2i00002i2i−2i−2i00000000000−2i2i000-220000000
χ402-22-222-22-22-2-22-22-2-220022-2-200000000002-20000000−2i2i0000−2i2i0000−2i−2i2i2i00000000000−2i2i0002-20000000
χ4144444-2-4-44-2-2-244-2-2-2-2002-42-4000044000022000000-40000220000-2-200000000000000000000000000000
χ4244444-2-4-44-2-2-244-2-2-2-2002-42-40000-4-400002200000040000-2-200002200000000000000000000000000000
χ434444-24-4-4-2444-2-2-2-2-2-200-42-420000000000220000000004-40000220000000000000000000-200000000000
χ444444-24-4-4-2444-2-2-2-2-2-200-42-42000000000022000000000-440000-2-20000000000000000000200000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-211-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-211110000000000000000022-1-12-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4221122-1-1-1-100000000000000000-2-2112-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-21122-1-1-1-10000000000000000022-1-1-211000000000000000000
χ4944-4-44400-4-44-4-4444-4-4−2i22i20000−2i2−2i22i22i200000000−2i22i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ5044-4-44400-4-44-4-4444-4-42i2−2i200002i22i2−2i2−2i2000000002i2−2i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ5144-4-44-200-42-22-44-2-222−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i200000−2i32i30000006−66−60000000000000000000000000
χ5244-4-44-200-42-22-44-2-222−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i2000002i3−2i3000000−66−660000000000000000000000000
χ5344-4-44-200-42-22-44-2-2222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i200000−2i32i3000000−66−660000000000000000000000000
χ5444-4-44-200-42-22-44-2-2222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i2000002i3−2i30000006−66−60000000000000000000000000
χ5544-4-4-24002-44-42-2-2-222−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i200000000023−2300000000000000000000i6−i6000000000
χ5644-4-4-24002-44-42-2-2-222−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i2000000000−232300000000000000000000−i6i6000000000
χ5744-4-4-24002-44-42-2-2-2222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i200000000023−2300000000000000000000−i6i6000000000
χ5844-4-4-24002-44-42-2-2-2222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i2000000000−232300000000000000000000i6−i6000000000
χ594-44-4444-4-44-4-44-44-4-4400-4-4440000000000-44000000000000000000000000000000000000000000000000
χ604-44-44-24-4-4-2224-4-222-2002-4-24−2i32i3−2i32i30000002-200−2i32i3−2i32i3000000000000000000000000000000000000000000
χ614-44-44-24-4-4-2224-4-222-2002-4-242i3−2i32i3−2i30000002-2002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ624-44-44-2-44-4-2224-4-222-200-242-40000000000-2200000000000004i−4i0000−2i−2i2i2i0000000000000000000000000
χ634-44-44-2-44-4-2224-4-222-200-242-40000000000-220000000000000−4i4i00002i2i−2i−2i0000000000000000000000000
χ644-44-4-244-424-4-4-22-222-200-424-200000000−2i32i32-20000000000000000000000000000−2i32i3000000000000000000
χ654-44-4-244-424-4-4-22-222-200-424-2000000002i3−2i32-200000000000000000000000000002i3−2i3000000000000000000
χ664-44-4-24-4424-4-4-22-222-2004-2-420000000000-2200000004i−4i0000000000000000000000000−2i2i000000000000
χ674-44-4-24-4424-4-4-22-222-2004-2-420000000000-220000000−4i4i00000000000000000000000002i−2i000000000000
χ684-44-4-2-24-42-222-221-1-110022-2-2−2i32i3−2i32i30000−2i32i3-1100i3−i3i3−i300000000000000000003-30i3−i3000000000000000000
χ694-44-4-2-24-42-222-221-1-110022-2-2−2i32i3−2i32i300002i3−2i3-1100i3−i3i3−i30000000000000000000-330−i3i3000000000000000000
χ704-44-4-2-24-42-222-221-1-110022-2-22i3−2i32i3−2i30000−2i32i3-1100−i3i3−i3i30000000000000000000-330i3−i3000000000000000000
χ714-44-4-2-24-42-222-221-1-110022-2-22i3−2i32i3−2i300002i3−2i3-1100−i3i3−i3i300000000000000000003-30−i3i3000000000000000000
χ724-4-4444004-4-44-4-44-44-400000000004i−4i000000000000000000000004i−4i00000000000000000000000000000
χ734-4-4444004-4-44-4-44-44-40000000000−4i4i00000000000000000000000−4i4i00000000000000000000000000000
χ744-4-444-200422-2-4-4-22-220000006−6−664i−4i000000006−6−6600000000000−2i2ii6−i6−i6i60000000000000000000000000
χ754-4-444-200422-2-4-4-22-220000006−6−66−4i4i000000006−6−66000000000002i−2i−i6i6i6−i60000000000000000000000000
χ764-4-444-200422-2-4-4-22-22000000−666−64i−4i00000000−666−600000000000−2i2i−i6i6i6−i60000000000000000000000000
χ774-4-444-200422-2-4-4-22-22000000−666−6−4i4i00000000−666−6000000000002i−2ii6−i6−i6i60000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-444-422-2-2−4i24i200002i22i2−2i2−2i2000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8088-8-8-4-40044-444-422-2-24i2−4i20000−2i2−2i22i22i200000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ818-88-8-4-4-884-444-442-2-2200-4-44400000000002-2000000000000000000000000000000000000000000000000
χ828-8-88-4800-4-8-8844-44-44000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-444-4442-22-200000026−26−26260000000000−666−6000000000000000000000000000000000000000000
χ848-8-88-4-400-444-4442-22-2000000−262626−2600000000006−6−66000000000000000000000000000000000000000000

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