Finite Group Databasebeta

← Group #11889470

Character table — Group #11889470

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order1222334466666636668812121212242424242244121224242424242424466881212242424241212121212121212444468122424444444121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-11111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11
χ4111111111111111111111111111111-1-111111111-11-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111111-1-11-1
χ51111111111111111111111111111-1-111111111111-11-1-1-1-1-1-1-1-1-1-111111111-11-1111111-1-1-1-1-1-11-1-11-1
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
χ71111111111111111111111111111-1-1-1-1111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111-1-11111-111-1-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111
χ9111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-111111-1-111-1-1-1-111-1-111-1-1-1-1111-11-1-111-1-111-1-111-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-111-1-1-111-1-11-111-1-111-1-11-11-11
χ11111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-11111-1-11-11-1-11111-1-111-1-1-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1111-1-11-11-111-1-1-1-111-11-111
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-11-11-1-111-1-1111111-1-111-1-11-1-111-11-1-1-1-111-1-1-11-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-11-11111-1-11111-1-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-11-11-1-111-1-11111-1-111-1-111-111-11-11-1-1-1-1-1-1111-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-11-1111111-1-1-1-111-1
χ17222222-2-2222222222200-2-2-2-200002200-2-20000002-2-22200-2-2000000000000000020-200-22000000000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-2-222200-2-20000000000000000-202002-2000000000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-200000022-2-2-20022000000000000000020-2002-2000000000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-2000000-222-2-200220000000000000000-20200-22000000000
χ2122222-1222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-12020000000000-122-1-1-1-1-10202-12-1-1-1000000-100-10
χ2222222-1222-1-122-1-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-20-20000000000-122-1-1-1-1-10-20-21-211100000010010
χ2322222-1222-1-122-1-1-1-1-1222-12-1222200-2-2-1-1-1-1-1-1-1-120200000000001-2-2111110-20-2-12-1-1-100000010010
χ2422222-1222-1-122-1-1-1-1-1222-12-1222200-2-2-1-1-1-1-1-1-1-1-20-200000000001-2-21111102021-2111000000-100-10
χ2522222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-11111112020000000000-12-21-1-1110-202-1-2-111000000100-10
χ2622222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-1111111-20-20000000000-12-21-1-111020-2121-1-1000000-10010
χ2722222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-22-1-111111120200000000001-22-111-1-1020-2-1-2-111000000-10010
χ2822222-1222-1-122-1-1-1-1-1-2-22-12-1-2-2-2-200-22-1-1111111-20-200000000001-22-111-1-10-202121-1-1000000100-10
χ292222-1222-122-1-12-1-1-1-122-12-12-1-1-1-12222-1-122-1-1-1-1020-1-122-1-1-1-1-1-12-1-12-1-1-1-12020000000000000-1-100
χ302222-1222-122-1-12-1-1-1-122-12-12-1-1-1-122-2-2-1-122-1-1-1-1020-1-122-1-1-1-1-1-1-211-21111-20-200000000000001100
χ312222-1222-122-1-12-1-1-1-122-12-12-1-1-1-1-2-222-1-122-1-1-1-10-2011-2-21111112-1-12-1-1-1-1-20-200000000000001100
χ322222-1222-122-1-12-1-1-1-122-12-12-1-1-1-1-2-2-2-2-1-122-1-1-1-10-2011-2-2111111-211-211112020000000000000-1-100
χ332222-1222-122-1-12-1-1-1-1-2-2-12-121111222-2-1-1-2-21111020-1-1-2-2-1-111112-11-2-1-111-20200000000000001-100
χ342222-1222-122-1-12-1-1-1-1-2-2-12-12111122-22-1-1-2-21111020-1-1-2-2-1-11111-21-1211-1-120-20000000000000-1100
χ352222-1222-122-1-12-1-1-1-1-2-2-12-121111-2-22-2-1-1-2-211110-20112211-1-1-1-12-11-2-1-11120-20000000000000-1100
χ362222-1222-122-1-12-1-1-1-1-2-2-12-121111-2-2-22-1-1-2-211110-20112211-1-1-1-1-21-1211-1-1-20200000000000001-100
χ372-2-2222-22-2-2-2-2222-2-222i−2i22-2-22i2i−2i−2i00002-22i−2i2i2i−2i−2i000000000000000000000000000000002i−2i2-200000
χ382-2-2222-22-2-2-2-2222-2-222i−2i22-2-22i2i−2i−2i00002-22i−2i2i2i−2i−2i00000000000000000000000000000000−2i2i-2200000
χ392-2-2222-22-2-2-2-2222-2-22−2i2i22-2-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i000000000000000000000000000000002i−2i-2200000
χ402-2-2222-22-2-2-2-2222-2-22−2i2i22-2-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i00000000000000000000000000000000−2i2i2-200000
χ4144444-2-4-44-2-244-2-2-2-2-200-42-42000000002200000040-40000000000000000000000-2020000000000000
χ4244444-2-4-44-2-244-2-2-2-2-200-42-420000000022000000-404000000000000000000000020-20000000000000
χ434444-24-4-4-244-2-24-2-2-2-2002-42-400004400220000000-40-2-2002200000000000000000000000000000000
χ444444-24-4-4-244-2-24-2-2-2-2002-42-40000-4-400220000000402200-2-200000000000000000000000000000000
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
χ4944-4-44400-44-44-4-44-44-400000000000000000000000000022−22002222−22−220000000000000000000000000000
χ5044-4-44400-44-44-4-44-44-4000000000000000000000000000−222200−22−2222220000000000000000000000000000
χ5144-4-4-240024-4-22-4-22-220000006−66−6000000006−66−60000022−2223−23−2−2220000000000000000000000000000
χ5244-4-4-240024-4-22-4-22-220000006−66−6000000006−66−600000−2222−232322−2−20000000000000000000000000000
χ5344-4-4-240024-4-22-4-22-22000000−66−6600000000−66−660000022−22−2323−2−2220000000000000000000000000000
χ5444-4-4-240024-4-22-4-22-22000000−66−6600000000−66−6600000−222223−2322−2−20000000000000000000000000000
χ554-44-444004-44-4-4-444-4-400000000004-400000000000004-4000000000000000000000000000000000000
χ564-44-444004-44-4-4-444-4-40000000000-440000000000000-44000000000000000000000000000000000000
χ574-44-4-2400-2-4422-4-2-222000000i6−i6−i6i64-4000000i6−i6−i6i6000-220000i6−i6i6−i60000000000000000000000000000
χ584-44-4-2400-2-4422-4-2-222000000i6−i6−i6i6-44000000i6−i6−i6i60002-20000−i6i6−i6i60000000000000000000000000000
χ594-44-4-2400-2-4422-4-2-222000000−i6i6i6−i64-4000000−i6i6i6−i6000-220000−i6i6−i6i60000000000000000000000000000
χ604-44-4-2400-2-4422-4-2-222000000−i6i6i6−i6-44000000−i6i6i6−i60002-20000i6−i6i6−i60000000000000000000000000000
χ614-4-44444-4-4-4-4-4444-4-4400-4-44400000000-4400000000000000000000000000000000000000000000000
χ624-4-444-24-4-422-44-2-222-200-424-2000000002-20000000000000000000000000000000000−2i32i300000000000
χ634-4-444-24-4-422-44-2-222-200-424-2000000002-200000000000000000000000000000000002i3−2i300000000000
χ644-4-444-2-44-422-44-2-222-24i−4i4-2-424i4i−4i−4i0000-22−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ654-4-444-2-44-422-44-2-222-2−4i4i4-2-42−4i−4i4i4i0000-222i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ664-4-44-244-42-4-42-24-222-2002-4-24000000002-2000000000000000−2i32i32i3−2i30000000000000000000000000000
χ674-4-44-244-42-4-42-24-222-2002-4-24000000002-20000000000000002i3−2i3−2i32i30000000000000000000000000000
χ684-4-44-24-442-4-42-24-222-24i−4i-242-4−2i−2i2i2i0000-224i−4i−2i−2i2i2i00000000000000000000000000000000000000000
χ694-4-44-24-442-4-42-24-222-2−4i4i-242-42i2i−2i−2i0000-22−4i4i2i2i−2i−2i00000000000000000000000000000000000000000
χ704-4-44-2-2-442222-2-21-1-114i−4i-2-222−2i−2i2i2i00001-1−2i2iii−i−i000000000000000003i−3i3-300000000000000000000
χ714-4-44-2-2-442222-2-21-1-114i−4i-2-222−2i−2i2i2i00001-1−2i2iii−i−i00000000000000000−3i3i-3300000000000000000000
χ724-4-44-2-2-442222-2-21-1-11−4i4i-2-2222i2i−2i−2i00001-12i−2i−i−iii000000000000000003i−3i-3300000000000000000000
χ734-4-44-2-2-442222-2-21-1-11−4i4i-2-2222i2i−2i−2i00001-12i−2i−i−iii00000000000000000−3i3i3-300000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-400-8-448-84-44-44000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-22-200000026−2626−2600000000−66−6600000000000000000000000000000000000000000
χ7788-8-8-4-4004-44-4442-22-2000000−2626−2626000000006−66−600000000000000000000000000000000000000000
χ788-88-88-40084-4-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-44-444422-2-20000002i6−2i6−2i62i600000000−i6i6i6−i600000000000000000000000000000000000000000
χ808-88-8-4-400-44-444422-2-2000000−2i62i62i6−2i600000000i6−i6−i6i600000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-42-2-220044-4-400000000-2200000000000000000000000000000000000000000000000

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