Finite Group Databasebeta

← Group #11872823

Character table — Group #11872823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666662236668812121212466661212242424242424242422244444661212661212121244444466881212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-11-111-1-1111111-1-1-1-11-111-11-11-1-111-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-1-1-1111-11-1-111111111-1-1-1-1-11-1-11-11-111-1-111-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111-1-1-11-111-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1
χ911111111111111-1-11111111111-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1
χ1011111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-1-1-11111-1-1-111
χ1111111111111111-1-11111111111-1-1-1-1-11111111111-1-1111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111111-1-111-1-11-11
χ1211111111111111-1-11111111111-1-1-1-1-11111111111-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1
χ1311111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-11
χ1411111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11-1-111-1-11111-1-1-1-1-1111-111-1-1-111-1-111111-1-1
χ1511111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-1-11111-1-1-1-11-1-1-11-1-1111-1-1111111-11-1
χ1611111111111111-1-11111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ17222222-2-222222200222200-2-2-2-200000-2-200000000002002-2-22222000000-2-222000000-2-20000000000000
χ18222222-2-222222200222200-2-2-2-200000-2-20000000000200-2-2222-2-200000022-2-20000002-20000000000000
χ19222222-2-222222200222200-2-2-2-200000-2-20000000000-20022-2-2-22200000022-2-2000000-220000000000000
χ20222222-2-222222200222200-2-2-2-200000-2-20000000000-200-222-2-2-2-2000000-2-222000000220000000000000
χ2122222-122-12-12-1222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-122200020-1-100-1-1-12-1-1000020-1-1020-100-1-10000000-10
χ2222222-122-12-12-1222-1-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-2-2-2000-201100-1-1-12-1-10000-20110-2010011000000010
χ2322222-122-12-12-1222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-2111122200020-1-100-1-11-2110000-20-1-10-20-10011000000010
χ2422222-122-12-12-1222-1-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-2-2-2000-201100-1-11-21100002011020100-1-10000000-10
χ2522222-122-12-12-12-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-122-2000-201100111-211000020-1-10-20100110000000-10
χ2622222-122-12-12-12-2-2-1-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-2-2200020-1-100111-2110000-2011020-100-1-1000000010
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-2111122-2000-20110011-12-1-10000-20-1-1020100-1-1000000010
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-1-122-2-211-1-111-2-21111-2-2200020-1-10011-12-1-1000020110-20-100110000000-10
χ292222-12222-12-12-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10002220200-1-1-1-12-1-1-10000020020-10-1-100-1-10000-100
χ302222-12222-12-12-122-1-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1000-2-2-20-20011-1-12-1-1-100000-200-20101100110000100
χ312222-12222-12-12-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110002220200-1-1-1-1-211100000-200-20-10-1-100110000100
χ322222-12222-12-12-122-1-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111000-2-2-20-20011-1-1-21110000020020101100-1-10000-100
χ332222-12222-12-12-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-100022-20-2001111-211100000200-2010-1-100110000-100
χ342222-12222-12-12-1-2-2-1-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1000-2-220200-1-111-211100000-20020-101100-1-10000100
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-211111100022-20-20011112-1-1-100000-2002010-1-100-1-10000100
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-122-1211-2-2-1-1-2-2111111000-2-220200-1-1112-1-1-100000200-20-101100110000-100
χ372-22-2222-2-22-2-22-2002-22-200-22-2200000-22000000002-202i−2i00000000000002i−2i2i−2i002-200002i−2i00000000000
χ382-22-2222-2-22-2-22-2002-22-200-22-2200000-22000000002-20−2i2i0000000000000−2i2i−2i2i002-20000−2i2i00000000000
χ392-22-2222-2-22-2-22-2002-22-200-22-2200000-2200000000-2202i−2i0000000000000−2i2i−2i2i00-2200002i−2i00000000000
χ402-22-2222-2-22-2-22-2002-22-200-22-2200000-2200000000-220−2i2i00000000000002i−2i2i−2i00-220000−2i2i00000000000
χ412-22-222-22-22-2-22-22-22-22-2002-22-202-22-22-2000000000000000000002-200002i−2i−2i2i000000000000002i−2i00000
χ422-22-222-22-22-2-22-22-22-22-2002-22-202-22-22-2000000000000000000002-20000−2i2i2i−2i00000000000000−2i2i00000
χ432-22-222-22-22-2-22-2-222-22-2002-22-20-22-222-200000000000000000000-2200002i−2i−2i2i00000000000000−2i2i00000
χ442-22-222-22-22-2-22-2-222-22-2002-22-20-22-222-200000000000000000000-220000−2i2i2i−2i000000000000002i−2i00000
χ4544444-2-4-4-24-24-2400-2-2-2-200-422-4000002200000000004000-40-2-2000000000000000000020000000000000
χ4644444-2-4-4-24-24-2400-2-2-2-200-422-400000220000000000-400040220000000000000000000-20000000000000
χ474444-24-4-44-24-24-200-2-2-2-2002-4-420000022000000000000040-400-2-20000000000000000200000000000000
χ484444-24-4-44-24-24-200-2-2-2-2002-4-4200000220000000000000-40400220000000000000000-200000000000000
χ494444-2-244-2-2-2-2-2-244111144-2-2-2-24-2-2-2-211-2-2-2-2111100000000000011-2-2110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000001122-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-4222211-2-2-2-21111000000000000-1-122-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-242222112222-1-1-1-1000000000000-1-1-2-2110000000000000000000000000
χ5344-4-44400-4-44-4-44004-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5444-4-44400-4-44-4-44004-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ554-44-44-24-4242-4-2-400-22-2200-4-224000002-2000000004-40000000000000000000000-2200000000000000000
χ564-44-44-24-4242-4-2-400-22-2200-4-224000002-200000000-4400000000000000000000002-200000000000000000
χ574-44-44-2-44242-4-2-44-4-22-220042-2-404-4-22-2200000000000000000000-2200000000000000000000000000000
χ584-44-44-2-44242-4-2-4-44-22-220042-2-40-442-2-22000000000000000000002-200000000000000000000000000000
χ594-44-4-244-4-4-2-424200-22-220024-4-2000002-2000000000004i−4i0000000000000000000000000−2i2i00000000000
χ604-44-4-244-4-4-2-424200-22-220024-4-2000002-200000000000−4i4i00000000000000000000000002i−2i00000000000
χ614-44-4-24-44-4-2-42424-4-22-2200-2-4420-224-4-2200000000000000000000-2200000000000000000000000000000
χ624-44-4-24-44-4-2-4242-44-22-2200-2-44202-2-44-22000000000000000000002-200000000000000000000000000000
χ634-44-4-2-2-442-222-224-41-11-100-22-220-22-221-100003i3i−3i−3i0000000000001-1003i−3i0000000000000000000000000
χ644-44-4-2-2-442-222-224-41-11-100-22-220-22-221-10000−3i−3i3i3i0000000000001-100−3i3i0000000000000000000000000
χ654-44-4-2-2-442-222-22-441-11-100-22-2202-22-21-100003i3i−3i−3i000000000000-1100−3i3i0000000000000000000000000
χ664-44-4-2-2-442-222-22-441-11-100-22-2202-22-21-10000−3i−3i3i3i000000000000-11003i−3i0000000000000000000000000
χ674-4-4444004-4-44-4-40044-4-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ684-4-4444004-4-44-4-40044-4-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ694-4-444-200-2-4242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i200000000−2i32i300000000000000000000006−6000000000
χ704-4-444-200-2-4242-400-2-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i2000000002i3−2i30000000000000000000000−66000000000
χ714-4-444-200-2-4242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i200000000−2i32i30000000000000000000000−66000000000
χ724-4-444-200-2-4242-400-2-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i2000000002i3−2i300000000000000000000006−6000000000
χ734-4-44-240042-4-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000000023−230000000000000000000000i6−i60000000
χ744-4-44-240042-4-2-4200-2-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i20000000000−23230000000000000000000000−i6i60000000
χ754-4-44-240042-4-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000000023−230000000000000000000000−i6i60000000
χ764-4-44-240042-4-2-4200-2-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i20000000000−23230000000000000000000000i6−i60000000
χ778888-4-4-8-8-4-4-4-4-4-400222200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-88-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4800-8484-8-400-444-40000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-40044-444-4002-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ8188-8-8-4-40044-444-4002-2-2200000000000000000−323232−320000000000000000000000000000000000000000000
χ828-88-8-4-48-84-444-44002-22-2004-44-400000-22000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-444-4440022-2-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ848-8-88-4-400-444-4440022-2-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000

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