Finite Group Databasebeta

← Group #11889145

Character table — Group #11889145

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order1222334466666634466688121212122121212121212242424242424242424441212121266661212222444688121212121224242424224886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1-1-111111111-1-1-11-1111-1-111-1-111-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-11-1111-1-1111111-1-11-11-1-1-111-1-111-1-111-1-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-11-1-111111-1-1-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111-1-111-1-11-11-111-1-1-1-11111-1111-1-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-111-11-11-1-11111-1-111-111-11-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-111-1-1-1-1-11111-1-11-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-111-1-1-11-11
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-1111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1111-1-111-1-11-1-1-1-1-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1111-11-1-1-111-1-111-1-1-111-111
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-1-1-11-1111-1-111-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-111-111111111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-222-2-2000000-2-20000200-20000000000200000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-22-2-2-2-200000022000020020000000000-200000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-222-22222000000220000-200-20000000000-200000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-222000000-2-20000-20020000000000200000
χ2122222-122-12-12-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10202-1-1002-1-1-1-1-1002020002-100-1-100-1-100000-100
χ2222222-122-12-12-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-20-211002-1-1-1-1-100-20-2000-210011001100000100
χ2322222-122-12-12-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110202-1-100-2111-1-100-202000-2-100-1-1001100000100
χ2422222-122-12-12-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-20-21100-2111-1-10020-200021001100-1-100000-100
χ2522222-122-12-12-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10202-1-100-21111100-20-20002-1001100-1-100000100
χ2622222-122-12-12-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-20-21100-21111100202000-2100-1-1001100000-100
χ2722222-122-12-12-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110202-1-1002-1-1-1110020-2000-2-10011001100000-100
χ2822222-122-12-12-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-20-211002-1-1-11100-2020002100-1-100-1-100000100
χ292222-12222-12-12-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1202000-1-1-12-1-1-1-1000202-1200-1-100-1-100000000-10
χ302222-12222-12-12-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-20-200011-12-1-1-1-1000-20-21-2001100110000000010
χ312222-12222-12-12-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111202000-1-11-211-1-100020-2-1-200-1-100110000000010
χ322222-12222-12-12-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-20-2000111-211-1-1000-20212001100-1-100000000-10
χ332222-12222-12-12-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1202000-1-11-21111000-20-2-12001100-1-10000000010
χ342222-12222-12-12-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-20-2000111-211110002021-200-1-1001100000000-10
χ352222-12222-12-12-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111202000-1-1-12-1-111000-202-1-20011001100000000-10
χ362222-12222-12-12-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-20-200011-12-1-11100020-21200-1-100-1-10000000010
χ372-22-2222-2-22-2-22-222i−2i-22-2002-22-202i−2i2i−2i2-2000000000000000000002i−2i0000000000000000002-202i−2i000
χ382-22-2222-2-22-2-22-222i−2i-22-2002-22-202i−2i2i−2i2-2000000000000000000002i−2i000000000000000000-220−2i2i000
χ392-22-2222-2-22-2-22-22−2i2i-22-2002-22-20−2i2i−2i2i2-200000000000000000000−2i2i0000000000000000002-20−2i2i000
χ402-22-2222-2-22-2-22-22−2i2i-22-2002-22-20−2i2i−2i2i2-200000000000000000000−2i2i000000000000000000-2202i−2i000
χ4144444-2-4-4-24-24-24-200-2-2-2002-4-42000002200000000040-4-2-20000000000000000020000000000000000
χ4244444-2-4-4-24-24-24-200-2-2-2002-4-420000022000000000-4042200000000000000000-20000000000000000
χ434444-24-4-44-24-24-2-200-2-2-200-422-400000220000000040-400022000000000000-20000000000000000000
χ444444-24-4-44-24-24-2-200-2-2-200-422-4000002200000000-404000-2-200000000000020000000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000022-1-11100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-211-1-100000000000000000000000000
χ4944-4-444004-4-44-4-44004-4-4−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000
χ5044-4-444004-4-44-4-44004-4-42i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000
χ5144-4-44-200-2-4242-4-200-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000−2i32i30000000000000000000000006−600000000
χ5244-4-44-200-2-4242-4-200-222−2i22i200000000000−2i22i2i2−i2i2i2−i2−i200002i3−2i3000000000000000000000000−6600000000
χ5344-4-44-200-2-4242-4-200-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000−2i32i3000000000000000000000000−6600000000
χ5444-4-44-200-2-4242-4-200-2222i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i200002i3−2i30000000000000000000000006−600000000
χ5544-4-4-240042-4-2-42-200-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000023−2300000000000000000000i6−i60000000000
χ5644-4-4-240042-4-2-42-200-222−2i22i200000000000i2−i2−2i22i2i2i2−i2−i2000000−232300000000000000000000−i6i60000000000
χ5744-4-4-240042-4-2-42-200-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000023−2300000000000000000000−i6i60000000000
χ5844-4-4-240042-4-2-42-200-2222i2−2i200000000000−i2i22i2−2i2−i2−i2i2i2000000−232300000000000000000000i6−i60000000000
χ594-44-444-44-44-4-44-4400-44-400-44-4400000-44000000000000000000000000000000000000000000000000
χ604-44-44-24-4242-4-2-4-24i−4i2-2200-2-4420−2i2i4i−4i-2200000000000000000000−2i2i00000000000000000000000000
χ614-44-44-24-4242-4-2-4-2−4i4i2-2200-2-44202i−2i−4i4i-22000000000000000000002i−2i00000000000000000000000000
χ624-44-44-2-44242-4-2-4-2002-220024-4-2000002-20000000000000000000000000000000000−2i32i3000000000000
χ634-44-44-2-44242-4-2-4-2002-220024-4-2000002-200000000000000000000000000000000002i3−2i3000000000000
χ644-44-4-244-4-4-2-4242-24i−4i2-220042-2-404i−4i−2i2i-2200000000000000000000−2i2i00000000000000000000000000
χ654-44-4-244-4-4-2-4242-2−4i4i2-220042-2-40−4i4i2i−2i-22000000000000000000002i−2i00000000000000000000000000
χ664-44-4-24-44-4-2-4242-2002-2200-4-224000002-20000000000000000000000000000000023−2300000000000000
χ674-44-4-24-44-4-2-4242-2002-2200-4-224000002-200000000000000000000000000000000−232300000000000000
χ684-44-4-2-24-42-222-2214i−4i-11-100-22-220−2i2i−2i2i1-100003i−3i3i−3i00000000003-3i−i00000000000000000000000000
χ694-44-4-2-24-42-222-2214i−4i-11-100-22-220−2i2i−2i2i1-10000−3i3i−3i3i0000000000-33i−i00000000000000000000000000
χ704-44-4-2-24-42-222-221−4i4i-11-100-22-2202i−2i2i−2i1-100003i−3i3i−3i0000000000-33−ii00000000000000000000000000
χ714-44-4-2-24-42-222-221−4i4i-11-100-22-2202i−2i2i−2i1-10000−3i3i−3i3i00000000003-3−ii00000000000000000000000000
χ724-4-444400-4-44-4-44400-4-44000000000000000000000000000000000004-4000000000000000000000000
χ734-4-444400-4-44-4-44400-4-4400000000000000000000000000000000000-44000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-444-4442002-2-2−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ7688-8-8-4-400-444-4442002-2-24i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ778-88-8-4-4-884-444-44200-22-2004-44-400000-22000000000000000000000000000000000000000000000000
χ788-8-888-4004-8-4-848-40044-40000000000000000000000000000000000000000000000000000000000000
χ798-8-88-4800-8484-8-4-40044-40000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-4200-2-220000000000000000032−32−32320000000000000000000000000000000000000000
χ818-8-88-4-40044-444-4200-2-2200000000000000000−323232−320000000000000000000000000000000000000000

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