Finite Group Databasebeta

← Group #11897587

Character table — Group #11897587

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order1222334466666636668812121212242424244444121224242424242444488121212122424242412121212121212124444812122424222244121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11
χ4111111111111111111111111111111-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1
χ51111111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-111-1-1-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111
χ9111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11-11-1-111-1-111-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-11-1-111-1-111-1-111-1-11-1-111
χ11111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-11-11-111-1-1-1-11111-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-111-11-1-11111-1-1-1-1-111-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-111-1-1-1-111-1-1-111-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11-111-1-11111-1-111-11-11-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-11-111-1-111-1-1-1-11-1-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111-11-11-1-111-1-111111-11-1-1
χ17222222-2-2222222222200-2-2-2-200002200-2-2000000-22-20022-2-2000000000000000002-20000002-200000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-2-220022-2-200000000000000000-22000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-200000022-200-2-222000000000000000002-2000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-20000002-2200-2-22200000000000000000-220000002-200000
χ2122222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-12222-1-122-1-1-1-120022-1-1-1-1-1-1-1-12-1-12-1-1-1-1220000000000000-1-1000
χ2222222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-122-2-2-1-122-1-1-1-120022-1-1-1-1-1-1-1-1-211-21111-2-2000000000000011000
χ2322222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-1-2-222-1-122-1-1-1-1-200-2-2111111112-1-12-1-1-1-1-2-2000000000000011000
χ2422222-1222-12-1-12-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-200-2-211111111-211-21111220000000000000-1-1000
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-11111222-2-1-1-2-21111200-2-2-1-1-1-111112-11-2-1-1112-20000000000000-11000
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-1111122-22-1-1-2-21111200-2-2-1-1-1-11111-21-1211-1-1-2200000000000001-1000
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-11111-2-22-2-1-1-2-21111-200221111-1-1-1-12-11-2-1-111-2200000000000001-1000
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-11111-2-2-22-1-1-2-21111-200221111-1-1-1-1-21-1211-1-12-20000000000000-11000
χ292222-1222-12-122-1-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-10220000000000-122-1-1-1-1-100222-1-1-1-100000000-1-10
χ302222-1222-12-122-1-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-10-2-20000000000-122-1-1-1-1-100-2-2-2111100000000110
χ312222-1222-12-122-1-1-1-1-122-12-12222200-2-2-1-1-1-1-1-1-1-102200000000001-2-21111100-2-22-1-1-1-100000000110
χ322222-1222-12-122-1-1-1-1-122-12-12222200-2-2-1-1-1-1-1-1-1-10-2-200000000001-2-2111110022-2111100000000-1-10
χ332222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-11111110220000000000-12-21-1-111002-2-2-1-11100000000-110
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-11111110-2-20000000000-12-21-1-11100-22211-1-1000000001-10
χ352222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-200-22-1-111111102200000000001-22-111-1-100-22-2-1-111000000001-10
χ362222-1222-12-122-1-1-1-1-1-2-2-12-12-2-2-2-200-22-1-11111110-2-200000000001-22-111-1-1002-2211-1-100000000-110
χ3722-2-2222-222-2-2-2-222-2-22-222-2-222-2-20000-222-222-2-20000000000000000000000000000002-22-20000000
χ3822-2-2222-222-2-2-2-222-2-22-222-2-222-2-20000-222-222-2-2000000000000000000000000000000-22-220000000
χ3922-2-2222-222-2-2-2-222-2-2-2222-2-2-2-2220000-22-22-2-2220000000000000000000000000000002-2-220000000
χ4022-2-2222-222-2-2-2-222-2-2-2222-2-2-2-2220000-22-22-2-222000000000000000000000000000000-222-20000000
χ4144444-2-4-44-24-2-24-2-2-2-200-42-420000440022000000-40000-2-22200000000000000000000000000000000
χ4244444-2-4-44-24-2-24-2-2-2-200-42-420000-4-400220000004000022-2-200000000000000000000000000000000
χ434444-24-4-4-24-244-2-2-2-2-2002-42-4000000002200000004-400000000000000000000000-220000000000000
χ444444-24-4-4-24-244-2-2-2-2-2002-42-400000000220000000-44000000000000000000000002-20000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2004411-2-211110000000000000-2-2-2-2111100000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-411-2-2111100000000000002222-1-1-1-100000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-41122-1-1-1-10000000000000-2-22211-1-100000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-441122-1-1-1-1000000000000022-2-2-1-11100000000000000000000
χ4944-4-444-4444-4-4-4-444-4-400-4-444000000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-422-4-2-2224-44-2-42-2-22200002-24-4-2-22200000000000000000000000000000000000000000
χ5144-4-44-24-44-2-422-4-2-222-444-2-4222-2-200002-2-4422-2-200000000000000000000000000000000000000000
χ5244-4-44-2-444-2-422-4-2-22200-424-200000000-22000000000000000−2i3−2i32i32i30000000000000000000000000000
χ5344-4-44-2-444-2-422-4-2-22200-424-200000000-220000000000000002i32i3−2i3−2i30000000000000000000000000000
χ5444-4-4-244-4-242-4-42-2-2224-4-242-444-4-400002-2-22-2-22200000000000000000000000000000000000000000
χ5544-4-4-244-4-242-4-42-2-222-44-242-4-4-44400002-22-222-2-200000000000000000000000000000000000000000
χ5644-4-4-24-44-242-4-42-2-222002-4-2400000000-220000000000000000000000000000000000−2i32i300000000000
χ5744-4-4-24-44-242-4-42-2-222002-4-2400000000-2200000000000000000000000000000000002i3−2i300000000000
χ5844-4-4-2-24-4-2-2222211-1-14-4-2-222-2-2220000-11-2211-1-1000000000000000003i−3i3i−3i00000000000000000000
χ5944-4-4-2-24-4-2-2222211-1-14-4-2-222-2-2220000-11-2211-1-100000000000000000−3i3i−3i3i00000000000000000000
χ6044-4-4-2-24-4-2-2222211-1-1-44-2-22222-2-20000-112-2-1-111000000000000000003i−3i−3i3i00000000000000000000
χ6144-4-4-2-24-4-2-2222211-1-1-44-2-22222-2-20000-112-2-1-11100000000000000000−3i3i3i−3i00000000000000000000
χ624-44-44400-4-444-4-44-44-40000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000000000
χ634-44-44400-4-444-4-44-44-400000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000000000
χ644-44-44-200-424-22-4-22-220000006−66−6000000006−66−6000−2i22i200−2i32i3i2−i2i2−i20000000000000000000000000000
χ654-44-44-200-424-22-4-22-220000006−66−6000000006−66−60002i2−2i2002i3−2i3−i2i2−i2i20000000000000000000000000000
χ664-44-44-200-424-22-4-22-22000000−66−6600000000−66−66000−2i22i2002i3−2i3i2−i2i2−i20000000000000000000000000000
χ674-44-44-200-424-22-4-22-22000000−66−6600000000−66−660002i2−2i200−2i32i3−i2i2−i2i20000000000000000000000000000
χ684-4-444400-4-4-4-4444-4-4400000000004-40000000000000004-40000000000000000000000000000000000
χ694-4-444400-4-4-4-4444-4-440000000000-44000000000000000-440000000000000000000000000000000000
χ704-4-444-200-42-42-24-222-20000006−6−664-40000006−6−6600000-22006−6−660000000000000000000000000000
χ714-4-444-200-42-42-24-222-20000006−6−66-440000006−6−66000002-200−666−60000000000000000000000000000
χ724-4-444-200-42-42-24-222-2000000−666−64-4000000−666−600000-2200−666−60000000000000000000000000000
χ734-4-444-200-42-42-24-222-2000000−666−6-44000000−666−6000002-2006−6−660000000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-4-4444422-2-20044-4-4000000002-200000000000000000000000000000000000000000000000
χ768-88-8-48004-8-48-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-40044-4-4442-22-200000026−2626−2600000000−66−6600000000000000000000000000000000000000000
χ788-88-8-4-40044-4-4442-22-2000000−2626−2626000000006−66−600000000000000000000000000000000000000000
χ798-8-88-48004-84-88-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-42-2-2200000026−26−262600000000−666−600000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-42-2-22000000−262626−26000000006−6−6600000000000000000000000000000000000000000

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