Finite Group Databasebeta

← Group #11895791

Character table — Group #11895791

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order1222334466666636668812121212242424244424121224242424242444488121212122424242466661212121222448121224242244446612128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-11
χ4111111111111111111111111111111-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111-111-1-1
χ51111111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-111111111-11-1111111-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111-1-1111-1-11-1
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
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-11111-1-1-1-11-11-11
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
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-1-1-111-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1-1-1-1-11-111
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
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-111-1-1-1-1-1-1111-11-11
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
χ17222222-2-2222222222200-2-2-2-200002200-2-2000000-22-20022-2-2000000000000000002-200002-20000000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-2-220022-2-200000000000000000-220000-220000000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-200000022-200-2-222000000000000000002-20000-220000000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-20000002-2200-2-22200000000000000000-2200002-20000000
χ2122222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-102200000000002-1-1-1-12-1-102022-1-1-1-10000000-1-100
χ2222222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-10-2-200000000002-1-1-1-12-1-10-20-2-2111100000001100
χ2322222-1222-12-1-12-1-1-1-1222-12-1222200-2-2-1-1-1-1-1-1-1-10220000000000-21111-2110-20-22-1-1-1-100000001100
χ2422222-1222-12-1-12-1-1-1-1222-12-1222200-2-2-1-1-1-1-1-1-1-10-2-20000000000-21111-2110202-211110000000-1-100
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111111102200000000002-1-1-11-211020-2-2-1-1110000000-1100
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-11111110-2-200000000002-1-1-11-2110-202211-1-100000001-100
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-11111110220000000000-2111-12-1-10-202-2-1-11100000001-100
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-11111110-2-20000000000-2111-12-1-1020-2211-1-10000000-1100
χ292222-1222-12-122-1-1-1-1-122-12-12-1-1-1-12222-1-122-1-1-1-120022-1-1-1-1-1-1-1-1-12-1-12-1-1-1202000000000000-100-10
χ302222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122-2-2-1-122-1-1-1-120022-1-1-1-1-1-1-1-11-211-2111-20-200000000000010010
χ312222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-222-1-122-1-1-1-1-200-2-211111111-12-1-12-1-1-1-20-200000000000010010
χ322222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2-1-122-1-1-1-1-200-2-2111111111-211-2111202000000000000-100-10
χ332222-1222-12-122-1-1-1-1-1-2-2-12-121111222-2-1-1-2-21111200-2-2-1-1-1-11111-12-1-1-211120-2000000000000-10010
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12111122-22-1-1-2-21111200-2-2-1-1-1-111111-2112-1-1-1-202000000000000100-10
χ352222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-22-2-1-1-2-21111-200221111-1-1-1-1-12-1-1-2111-202000000000000100-10
χ362222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-2-22-1-1-2-21111-200221111-1-1-1-11-2112-1-1-120-2000000000000-10010
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
χ4144444-2-4-44-24-2-24-2-2-2-200-42-42000000002200000004-400000000000000000000000-220000000000000
χ4244444-2-4-44-24-2-24-2-2-2-200-42-4200000000220000000-44000000000000000000000002-20000000000000
χ434444-24-4-4-24-244-2-2-2-2-2002-42-40000440022000000-40000-2-22200000000000000000000000000000000
χ444444-24-4-4-24-244-2-2-2-2-2002-42-40000-4-400220000004000022-2-200000000000000000000000000000000
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
χ624-44-44400-4-4-44-444-4-44000000000000000000000000022−22000022−2222−220000000000000000000000000000
χ634-44-44400-4-4-44-444-4-440000000000000000000000000−22220000−2222−22220000000000000000000000000000
χ644-44-4-24002-424-4-2-222-2000000i6−i6i6−i600000000i6−i6i6−i600022−2200−2i32i3−22−220000000000000000000000000000
χ654-44-4-24002-424-4-2-222-2000000i6−i6i6−i600000000i6−i6i6−i6000−2222002i3−2i32−22−20000000000000000000000000000
χ664-44-4-24002-424-4-2-222-2000000−i6i6−i6i600000000−i6i6−i6i600022−22002i3−2i3−22−220000000000000000000000000000
χ674-44-4-24002-424-4-2-222-2000000−i6i6−i6i600000000−i6i6−i6i6000−222200−2i32i32−22−20000000000000000000000000000
χ684-4-444400-4-44-44-444-4-400000000004-40000000000000004-40000000000000000000000000000000000
χ694-4-444400-4-44-44-444-4-40000000000-44000000000000000-440000000000000000000000000000000000
χ704-4-44-24002-4-2-442-2-2220000006−6−664-40000006−6−6600000-22006−6−660000000000000000000000000000
χ714-4-44-24002-4-2-442-2-2220000006−6−66-440000006−6−66000002-200−666−60000000000000000000000000000
χ724-4-44-24002-4-2-442-2-222000000−666−64-4000000−666−600000-2200−666−60000000000000000000000000000
χ734-4-44-24002-4-2-442-2-222000000−666−6-44000000−666−6000002-2006−6−660000000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-48-8-4-444442-22-200-4-44400000000-2200000000000000000000000000000000000000000000000
χ768-88-88-400-84-8-448-444-4000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-400444-44-42-2-220000002i6−2i62i6−2i600000000−i6i6−i6i600000000000000000000000000000000000000000
χ788-88-8-4-400444-44-42-2-22000000−2i62i6−2i62i600000000i6−i6i6−i600000000000000000000000000000000000000000
χ798-8-888-400-8484-4-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-44-4422-2-200000026−26−262600000000−666−600000000000000000000000000000000000000000
χ818-8-88-4-40044-44-4422-2-2000000−262626−26000000006−6−6600000000000000000000000000000000000000000

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