Finite Group Databasebeta

← Group #11895803

Character table — Group #11895803

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order122233446666663446668812121212412121212121224242424242424244444121212121212121212124422446666881212242424242248812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1111111-1-11-11-111-1-11-11-111-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-11-1-111111111-1-1-11-11-1-111-11-11-1-111-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-111-1-1-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11-1-1111-1-1-111-1-1-11111-111-11-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-111-1-1-1111-1-1111-1-111-1111-1-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-11-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-11-111-1-111-1-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-1-11-11-111-1-1-11-11-1-11111-1-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-111-1-1-111-111-1-1-111-1-1-1111-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-11-1-1111-1-11-1-1111-1-1-1-1-111-111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-11111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-22222000000220000000000-2-2000000-200000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-2222-2-2000000-2-20000000000-22000000200000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-222-2-2-222000000-2-200000000002-2000000200000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-2-2-200000022000000000022000000-200000
χ2122222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-1020200-1-12-1-1-1-1-100020200-1-1020-100-1-1000000-10
χ2222222-1222-12-12-1-122-1-1-1222-12-1222-1-1-1-122-1-1-1-1-1-10-20-200112-1-1-1-1-1000-20-200110-201001100000010
χ2322222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-2111111020200-1-1-21-1-11100020-200-1-10-20-1001100000010
χ2422222-1222-12-12-1-122-1-1-1-2-22-12-1-222-1-1-1-1-2-21111110-20-20011-21-1-111000-2020011020100-1-1000000-10
χ2522222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-1020200-1-1-211111000-20-20011020-100-1-100000010
χ2622222-1222-12-12-1-1-2-2-1-1-1222-12-1-2-2-211-1-122-1-1-1-1-1-10-20-20011-21111100020200-1-10-2010011000000-10
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-2111111020200-1-12-111-1-1000-20200110-20-10011000000-10
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-12-12-2-211-1-1-2-21111110-20-200112-111-1-100020-200-1-1020100-1-100000010
χ292222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-12020-1-100-12-1-1-1-1002020-1-10020-10-1-10000000-100
χ302222-1222-12-12-12-122-1-1-122-12-122-1-122-1-1-1-122-1-1-1-1-20-201100-12-1-1-1-100-20-201100-2010110000000100
χ312222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-211112020-1-1001-2-1-1110020-20-1-100-20-10110000000100
χ322222-1222-12-12-12-122-1-1-1-2-2-12-12-2-1-122-1-111-2-21111-20-2011001-2-1-11100-202011002010-1-10000000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-12020-1-1001-2111100-20-20110020-10-1-10000000100
χ342222-1222-12-12-12-1-2-2-1-1-122-12-12-211-2-2-1-1-1-122-1-1-1-1-20-2011001-21111002020-1-100-2010110000000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-211112020-1-100-1211-1-100-20201100-20-10110000000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-111-2-21111-20-201100-1211-1-10020-20-1-1002010-1-10000000100
χ3722-2-2222-222-2-2-2-222i−2i-22-200-2-22202i−2i2i−2i-220000000000000000002i−2i000000000000000000002-202i−2i000
χ3822-2-2222-222-2-2-2-222i−2i-22-200-2-22202i−2i2i−2i-220000000000000000002i−2i00000000000000000000-220−2i2i000
χ3922-2-2222-222-2-2-2-22−2i2i-22-200-2-2220−2i2i−2i2i-22000000000000000000−2i2i000000000000000000002-20−2i2i000
χ4022-2-2222-222-2-2-2-22−2i2i-22-200-2-2220−2i2i−2i2i-22000000000000000000−2i2i00000000000000000000-2202i−2i000
χ4144444-2-4-44-24-24-2-200-2-2-200-42-42000002200000000040-400-2-200000000000000000002000000000000
χ4244444-2-4-44-24-24-2-200-2-2-200-42-420000022000000000-40400220000000000000000000-2000000000000
χ434444-24-4-4-24-24-24-200-2-2-2002-42-400000220000000040-40-2-20000000000000000000020000000000000
χ444444-24-4-4-24-24-24-200-2-2-2002-42-4000002200000000-40402200000000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-1000000002211-1-100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-2-1-11100000000000000000000000000
χ4944-4-444-4444-4-4-4-4400-44-40044-4-4000004-4000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-42-42-24i−4i2-2200-424-204i−4i−2i2i2-2000000000000000000−2i2i0000000000000000000000000000
χ5144-4-44-24-44-2-42-42-2−4i4i2-2200-424-20−4i4i2i−2i2-20000000000000000002i−2i0000000000000000000000000000
χ5244-4-44-2-444-2-42-42-2002-22004-2-4200000-22000000000000000000000000000000−2i32i30000000000000000
χ5344-4-44-2-444-2-42-42-2002-22004-2-4200000-220000000000000000000000000000002i3−2i30000000000000000
χ5444-4-4-244-4-242-42-4-24i−4i2-22002-4-240−2i2i4i−4i2-2000000000000000000−2i2i0000000000000000000000000000
χ5544-4-4-244-4-242-42-4-2−4i4i2-22002-4-2402i−2i−4i4i2-20000000000000000002i−2i0000000000000000000000000000
χ5644-4-4-24-44-242-42-4-2002-2200-242-400000-220000000000000000000000000000−2i32i3000000000000000000
χ5744-4-4-24-44-242-42-4-2002-2200-242-400000-2200000000000000000000000000002i3−2i3000000000000000000
χ5844-4-4-2-24-4-2-2222214i−4i-11-10022-2-20−2i2i−2i2i-11000033-3-30000000000i−i3i−3i00000000000000000000000000
χ5944-4-4-2-24-4-2-2222214i−4i-11-10022-2-20−2i2i−2i2i-110000-3-3330000000000i−i−3i3i00000000000000000000000000
χ6044-4-4-2-24-4-2-222221−4i4i-11-10022-2-202i−2i2i−2i-11000033-3-30000000000−ii−3i3i00000000000000000000000000
χ6144-4-4-2-24-4-2-222221−4i4i-11-10022-2-202i−2i2i−2i-110000-3-3330000000000−ii3i−3i00000000000000000000000000
χ624-44-44400-4-444-4-4400-4-44000000000000000000000000000000000004-4000000000000000000000000
χ634-44-44400-4-444-4-4400-4-4400000000000000000000000000000000000-44000000000000000000000000
χ644-4-444400-4-4-4-4444004-4-422−220000000000022−2222−2222−2222−220000000000000000000000000000000000000000
χ654-4-444400-4-4-4-4444004-4-4−222200000000000−2222−2222−2222−22220000000000000000000000000000000000000000
χ664-4-444-200-42-424-2-200-22222−220000000000022−22−22−22−2200000023−2300000000000000000000006−600000000
χ674-4-444-200-42-424-2-200-22222−220000000000022−22−22−22−22000000−23230000000000000000000000−6600000000
χ684-4-444-200-42-424-2-200-222−222200000000000−22222−22−22−200000023−230000000000000000000000−6600000000
χ694-4-444-200-42-424-2-200-222−222200000000000−22222−22−22−2000000−232300000000000000000000006−600000000
χ704-4-44-24002-42-4-24-200-22222−2200000000000−2222−22−22−22000023−2300000000000000000000006−60000000000
χ714-4-44-24002-42-4-24-200-22222−2200000000000−2222−22−22−220000−23230000000000000000000000−660000000000
χ724-4-44-24002-42-4-24-200-222−2222000000000002−2−22222−22−2000023−230000000000000000000000−660000000000
χ734-4-44-24002-42-4-24-200-222−2222000000000002−2−22222−22−20000−232300000000000000000000006−60000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-4-44444200-22-200-4-444000002-2000000000000000000000000000000000000000000000000
χ768-88-88-400-848-4-84-40044-40000000000000000000000000000000000000000000000000000000000000
χ778-88-8-48004-8-484-8-40044-40000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4-40044-4-444200-2-220000000000000000032−32−32320000000000000000000000000000000000000000
χ798-88-8-4-40044-4-444200-2-2200000000000000000−323232−320000000000000000000000000000000000000000
χ808-8-88-4-4004444-4-42002-2-242−4200000000000−2222−22222−22−20000000000000000000000000000000000000000
χ818-8-88-4-4004444-4-42002-2-2−42420000000000022−2222−22−22−220000000000000000000000000000000000000000

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