Finite Group Databasebeta

← Group #11895993

Character table — Group #11895993

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order1222334466666636668812121212242424244424121224242424242444488121212122424242466661212121222448121224244444446612128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-11111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11-1-11-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-11
χ4111111111111111111111111111111-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-111-1-1
χ51111111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-111111111-111-111111-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1111-1-11-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111
χ9111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1-11111-1-1-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-111-1-11111-1-1-1-111-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-1-111-1-1-1-111-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-111-1-111-1-1-1-1-11-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-11111-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-111-1-1-1-1-1-1111-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-1111111-1-111-1-1-1
χ17222222-2-2222222222200-2-2-2-200002200-2-2000000-22-200-2-22200000000000000000-2200002-20000000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-2-2200-2-222000000000000000002-20000-220000000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-200000022-20022-2-200000000000000000-220000-220000000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-20000002-220022-2-2000000000000000002-200002-20000000
χ2122222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-102200000000002-1-1-1-12-1-102202-1-1-1-10000000-1-100
χ2222222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-10-2-200000000002-1-1-1-12-1-10-2-20-2111100000001100
χ2322222-1222-12-1-12-1-1-1-1222-12-1222200-2-2-1-1-1-1-1-1-1-10220000000000-21111-2110-2-202-1-1-1-100000001100
χ2422222-1222-12-1-12-1-1-1-1222-12-1222200-2-2-1-1-1-1-1-1-1-10-2-20000000000-21111-2110220-211110000000-1-100
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111111102200000000002-1-1-11-21102-20-2-1-1110000000-1100
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-11111110-2-200000000002-1-1-11-2110-220211-1-100000001-100
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-11111110220000000000-2111-12-1-10-220-2-1-11100000001-100
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-11111110-2-20000000000-2111-12-1-102-20211-1-10000000-1100
χ292222-1222-12-122-1-1-1-1-122-12-12-1-1-1-12222-1-122-1-1-1-120022-1-1-1-1-1-1-1-1-12-1-12-1-1-1200200000000000-100-10
χ302222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122-2-2-1-122-1-1-1-120022-1-1-1-1-1-1-1-11-211-2111-200-20000000000010010
χ312222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-222-1-122-1-1-1-1-200-2-211111111-12-1-12-1-1-1-200-20000000000010010
χ322222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2-1-122-1-1-1-1-200-2-2111111111-211-2111200200000000000-100-10
χ332222-1222-12-122-1-1-1-1-1-2-2-12-121111222-2-1-1-2-21111200-2-2-1-1-1-11111-12-1-1-2111200-200000000000-10010
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12111122-22-1-1-2-21111200-2-2-1-1-1-111111-2112-1-1-1-200200000000000100-10
χ352222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-22-2-1-1-2-21111-200221111-1-1-1-1-12-1-1-2111-200200000000000100-10
χ362222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-2-22-1-1-2-21111-200221111-1-1-1-11-2112-1-1-1200-200000000000-10010
χ3722-2-222-2222-2-2-2-22-22-22i−2i-2-2222i2i−2i−2i00002-22i−2i2i2i−2i−2i0000000000000000000000000000002-2002i−2i00000
χ3822-2-222-2222-2-2-2-22-22-22i−2i-2-2222i2i−2i−2i00002-22i−2i2i2i−2i−2i000000000000000000000000000000-2200−2i2i00000
χ3922-2-222-2222-2-2-2-22-22-2−2i2i-2-222−2i−2i2i2i00002-2−2i2i−2i−2i2i2i0000000000000000000000000000002-200−2i2i00000
χ4022-2-222-2222-2-2-2-22-22-2−2i2i-2-222−2i−2i2i2i00002-2−2i2i−2i−2i2i2i000000000000000000000000000000-22002i−2i00000
χ4144444-2-4-44-24-2-24-2-2-2-200-42-42000000002200000004-4000000000000000000000002-20000000000000
χ4244444-2-4-44-24-2-24-2-2-2-200-42-4200000000220000000-4400000000000000000000000-220000000000000
χ434444-24-4-4-24-244-2-2-2-2-2002-42-40000440022000000-4000022-2-200000000000000000000000000000000
χ444444-24-4-4-24-244-2-2-2-2-2002-42-40000-4-4002200000040000-2-22200000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2004411-2-211110000000000000-2-211-2-21100000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-411-2-21111000000000000022-1-122-1-100000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-41122-1-1-1-10000000000000-2-21122-1-100000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-441122-1-1-1-1000000000000022-1-1-2-21100000000000000000000
χ4944-4-4444-444-4-4-4-44-44-40044-4-400000000-4400000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-422-4-22-22004-2-42000000002-2000000000000000000000000000000000023−2300000000000
χ5144-4-44-24-44-2-422-4-22-22004-2-42000000002-20000000000000000000000000000000000−232300000000000
χ5244-4-44-2-444-2-422-4-22-224i−4i-424-24i4i−4i−4i0000-22−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ5344-4-44-2-444-2-422-4-22-22−4i4i-424-2−4i−4i4i4i0000-222i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ5444-4-4-244-4-242-4-42-22-2200-242-4000000002-20000000000000002323−23−230000000000000000000000000000
χ5544-4-4-244-4-242-4-42-22-2200-242-4000000002-2000000000000000−23−2323230000000000000000000000000000
χ5644-4-4-24-44-242-4-42-22-224i−4i2-4-24−2i−2i2i2i0000-224i−4i−2i−2i2i2i00000000000000000000000000000000000000000
χ5744-4-4-24-44-242-4-42-22-22−4i4i2-4-242i2i−2i−2i0000-22−4i4i2i2i−2i−2i00000000000000000000000000000000000000000
χ5844-4-4-2-2-44-2-222221-11-14i−4i22-2-2−2i−2i2i2i00001-1−2i2iii−i−i0000000000000003-3003i−3i00000000000000000000
χ5944-4-4-2-2-44-2-222221-11-14i−4i22-2-2−2i−2i2i2i00001-1−2i2iii−i−i000000000000000-3300−3i3i00000000000000000000
χ6044-4-4-2-2-44-2-222221-11-1−4i4i22-2-22i2i−2i−2i00001-12i−2i−i−iii0000000000000003-300−3i3i00000000000000000000
χ6144-4-4-2-2-44-2-222221-11-1−4i4i22-2-22i2i−2i−2i00001-12i−2i−i−iii000000000000000-33003i−3i00000000000000000000
χ624-44-44400-4-44-44-444-4-40000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000000000
χ634-44-44400-4-44-44-444-4-400000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000000000
χ644-44-4-24002-4-2-442-2-2220000006−66−6000000006−66−6000−2i22i2−2i32i300i2−i2i2−i20000000000000000000000000000
χ654-44-4-24002-4-2-442-2-2220000006−66−6000000006−66−60002i2−2i22i3−2i300−i2i2−i2i20000000000000000000000000000
χ664-44-4-24002-4-2-442-2-222000000−66−6600000000−66−66000−2i22i22i3−2i300i2−i2i2−i20000000000000000000000000000
χ674-44-4-24002-4-2-442-2-222000000−66−6600000000−66−660002i2−2i2−2i32i300−i2i2−i2i20000000000000000000000000000
χ684-4-444400-4-4-44-444-4-4400000000004-4000000000000000004-400000000000000000000000000000000
χ694-4-444400-4-4-44-444-4-440000000000-4400000000000000000-4400000000000000000000000000000000
χ704-4-44-24002-424-4-2-222-2000000i6−i6−i6i64-4000000i6−i6−i6i60000000-22i6−i6−i6i60000000000000000000000000000
χ714-4-44-24002-424-4-2-222-2000000i6−i6−i6i6-44000000i6−i6−i6i600000002-2−i6i6i6−i60000000000000000000000000000
χ724-4-44-24002-424-4-2-222-2000000−i6i6i6−i64-4000000−i6i6i6−i60000000-22−i6i6i6−i60000000000000000000000000000
χ734-4-44-24002-424-4-2-222-2000000−i6i6i6−i6-44000000−i6i6i6−i600000002-2i6−i6−i6i60000000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-48-8-4-444442-22-200-4-44400000000-2200000000000000000000000000000000000000000000000
χ768-88-88-400-8484-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-40044-44-4422-2-200000026−2626−2600000000−66−6600000000000000000000000000000000000000000
χ788-88-8-4-40044-44-4422-2-2000000−2626−2626000000006−66−600000000000000000000000000000000000000000
χ798-8-888-400-84-8-448-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-44-42-2-220000002i6−2i6−2i62i600000000−i6i6i6−i600000000000000000000000000000000000000000
χ818-8-88-4-400444-44-42-2-22000000−2i62i62i6−2i600000000i6−i6−i6i600000000000000000000000000000000000000000

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