Finite Group Databasebeta

← Group #11895785

Character table — Group #11895785

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424244424661212242424242424444448812121212121224242424666121212122448121212242422446121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1
χ51111111111111111111111111111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1-11-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111-11-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-11
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-111111-1-1111111-1-1-1-1111-1-1-1-11-1-1-1111-1-1-1-1111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-11-111-1-1-11111-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-11111-111-11-1-1-1-11111-111-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-11111-11-11-11111-1-1-1-1-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-11-1-1111-1-111-1-1-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1111-1-1-111-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111111-11-11-1-1-1-1-1-1-1-11-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111111-1-11-1111111111-1-1-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-22-2000022-2-2-2-200000000000000020000002-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-2-22000022-2-222000000000000000-2000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-200000022-20000-2-222-2-20000000000000002000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002-220000-2-22222000000000000000-20000002-200000
χ2122222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-1222222-1-122-1-1-1-12000022-1-1-1-100-1-1-1-1-1-1-12-1-1-12200000000000-1-1000
χ2222222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-12000022-1-1-1-100-1-1-1-1111-2111-2-20000000000011000
χ2322222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-1-2-22222-1-122-1-1-1-1-20000-2-21111001111-1-1-12-1-1-1-2-20000000000011000
χ2422222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-20000-2-21111001111111-21112200000000000-1-1000
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-121111222-222-1-1-2-2111120000-2-2-1-1-1-1001111-1-1-1-21112-200000000000-11000
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-12111122-22-2-2-1-1-2-2111120000-2-2-1-1-1-10011111112-1-1-1-22000000000001-1000
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-121111-2-22-222-1-1-2-21111-2000022111100-1-1-1-1-1-1-1-2111-22000000000001-1000
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-121111-2-2-22-2-2-1-1-2-21111-2000022111100-1-1-1-11112-1-1-12-200000000000-11000
χ292222-1222-122-12-1-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-102222000000-1-100002-1-1-12-1-10022-1-1-1-1-1000000-100
χ302222-1222-122-12-1-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-10-2-2-2-20000001100002-1-1-12-1-100-2-211111000000100
χ312222-1222-122-12-1-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-1022-2-2000000-1-10000-2111-21100-22-111-1-1000000100
χ322222-1222-122-12-1-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-10-2-222000000110000-2111-211002-21-1-111000000-100
χ332222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-111111102222000000-1-100002-1-11-21100-2-2-1-1-111000000100
χ342222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-11111110-2-2-2-20000001100002-1-11-2110022111-1-1000000-100
χ352222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-1111111022-2-2000000-1-10000-211-12-1-1002-2-11111000000-100
χ362222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-11111110-2-222000000110000-211-12-1-100-221-1-1-1-1000000100
χ3722-2-222-2222-2-2-2-22-22-200-22-220000000000-220000000002i−2i2i−2i0000002i2i−2i−2i0000000000002i−2i002-20000000
χ3822-2-222-2222-2-2-2-22-22-200-22-220000000000-220000000002i−2i−2i2i000000−2i−2i2i2i0000000000002i−2i00-220000000
χ3922-2-222-2222-2-2-2-22-22-200-22-220000000000-22000000000−2i2i2i−2i0000002i2i−2i−2i000000000000−2i2i00-220000000
χ4022-2-222-2222-2-2-2-22-22-200-22-220000000000-22000000000−2i2i−2i2i000000−2i−2i2i2i000000000000−2i2i002-20000000
χ4144444-2-4-44-2-24-24-2-2-2-200-422-4000044000022000000-4000000-2-2220000000000000000000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-200-422-40000-4-4000022000000400000022-2-20000000000000000000000000000000
χ434444-24-4-4-244-24-2-2-2-2-2002-4-4200000000002200000004-40000000022000000000000000-20000000000000
χ444444-24-4-4-244-24-2-2-2-2-2002-4-420000000000220000000-4400000000-2-200000000000000020000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-211-2-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-21111000000000000000002-1-122-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-21122-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-1-1-2-211000000000000000000
χ4944-4-4444-444-4-4-4-44-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-42-4-22-220042-2-42323−23−23000000-22002323−23−23000000000000000000000000000000000000000000
χ5144-4-44-24-44-22-42-4-22-220042-2-4−23−232323000000-2200−23−232323000000000000000000000000000000000000000000
χ5244-4-44-2-444-22-42-4-22-2200-4-22400000000002-2000000000004i−4i000000−2i−2i2i2i0000000000000000000000000
χ5344-4-44-2-444-22-42-4-22-2200-4-22400000000002-200000000000−4i4i0000002i2i−2i−2i0000000000000000000000000
χ5444-4-4-244-4-24-42-42-22-2200-2-44200000000−2i32i3-22000000000000000000000000−2i32i30000000000000000000000
χ5544-4-4-244-4-24-42-42-22-2200-2-442000000002i3−2i3-220000000000000000000000002i3−2i30000000000000000000000
χ5644-4-4-24-44-24-42-42-22-220024-4-200000000002-20000000004i−4i000000000000000000000000−2i2i00000000000
χ5744-4-4-24-44-24-42-42-22-220024-4-200000000002-2000000000−4i4i0000000000000000000000002i−2i00000000000
χ5844-4-4-2-24-4-2-222221-11-100-22-222323−23−230000−2i32i31-100−3−333000000000000000000i3−i3003i−3i000000000000000000
χ5944-4-4-2-24-4-2-222221-11-100-22-222323−23−2300002i3−2i31-100−3−333000000000000000000−i3i300−3i3i000000000000000000
χ6044-4-4-2-24-4-2-222221-11-100-22-22−23−2323230000−2i32i31-10033−3−3000000000000000000i3−i300−3i3i000000000000000000
χ6144-4-4-2-24-4-2-222221-11-100-22-22−23−23232300002i3−2i31-10033−3−3000000000000000000−i3i3003i−3i000000000000000000
χ624-44-44400-4-4-444-44-4-4422−22000022−2222−220000000022−2222−2222−22000000000000000000000000000000000000000000
χ634-44-44400-4-4-444-44-4-44−22220000−2222−222200000000−2222−2222−2222000000000000000000000000000000000000000000
χ644-44-44-200-4224-2-4-222-222−220000−22−220000000022−22−22−22000000000−2i32i300i6−i6i6−i60000000000000000000000000
χ654-44-44-200-4224-2-4-222-222−220000−22−220000000022−22−22−220000000002i3−2i300−i6i6−i6i60000000000000000000000000
χ664-44-44-200-4224-2-4-222-2−222200002−22−200000000−22222−22−2000000000−2i32i300−i6i6−i6i60000000000000000000000000
χ674-44-44-200-4224-2-4-222-2−222200002−22−200000000−22222−22−20000000002i3−2i300i6−i6i6−i60000000000000000000000000
χ684-44-4-24002-4-4-242-222-222−22000022−2222−2200000000−22−22−220000000000023−230000000000000000006−6000000000
χ694-44-4-24002-4-4-242-222-222−22000022−2222−2200000000−22−22−2200000000000−2323000000000000000000−66000000000
χ704-44-4-24002-4-4-242-222-2−22220000−2222−2222000000002−22−22−20000000000023−23000000000000000000−66000000000
χ714-44-4-24002-4-4-242-222-2−22220000−2222−2222000000002−22−22−200000000000−23230000000000000000006−6000000000
χ724-4-444400-4-44-4-4444-4-400000000004-400000000000000000004-4000000000000000000000000000000000
χ734-4-444400-4-44-4-4444-4-40000000000-440000000000000000000-44000000000000000000000000000000000
χ744-4-444-200-42-2-424-2-2220000006−6−664-4000000006−6−660000000-2200006−6−660000000000000000000000000
χ754-4-444-200-42-2-424-2-2220000006−6−66-44000000006−6−6600000002-20000−666−60000000000000000000000000
χ764-4-444-200-42-2-424-2-222000000−666−64-400000000−666−60000000-220000−666−60000000000000000000000000
χ774-4-444-200-42-2-424-2-222000000−666−6-4400000000−666−600000002-200006−6−660000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-4-88-4-444442-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000
χ808-88-8-4-400444-4-442-2-2242−420000−2222−222200000000−22222−22−2000000000000000000000000000000000000000000
χ818-88-8-4-400444-4-442-2-22−4242000022−2222−220000000022−22−22−22000000000000000000000000000000000000000000
χ828-8-88-48004-884-8-4-4-444000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-422-2-200000026−26−26260000000000−666−6000000000000000000000000000000000000000000
χ848-8-88-4-40044-444-422-2-2000000−262626−2600000000006−6−66000000000000000000000000000000000000000000

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