Finite Group Databasebeta

← Group #11865778

Character table — Group #11865778

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444223666881212121224242424224412121212466661212121224242424242444444668888121224242424661212124424661212121212242444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111-1-1-11111-1-1-1-1111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-111-1-1-1-111111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-1
χ6111111111111111111-1-11111111111111111-1-11111-1-1-1-1-1-1-111111111-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-111-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1111-1-11-111-111-1-111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111-1-1111-1-1-1-11111-1-1-1-111111-1-1-11-1-1111-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-111111111-1-1-1-1-11-111111-1-1-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111111-1-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-111-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-11-1-1111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11-1-111-1-1111111-1-1111-1-1-11-1-11-1-111-1-1-111111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-11111-1-111111-1-1-1-1-11111111-1-1-1-1-11
χ17222222-2-2222222222200222200-2-2-2-20000-2-22222220000000-2-20000000000-2-2-2000022000000000220000-2000000-2000000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-200000000002-2-20000-2-2000000000-2-2000020000002000000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-20000000000-222000022000000000-2-20000-20000002000000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002220000-2-20000000002200002000000-2000000
χ2122222-122-1-1222-1222222-1-1-1-1222-12-1-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-122000-1-1220000-1-1-1-1-1-12-1-10020-1-1000-1-1000000000
χ2222222-122-1-1222-1222222-1-1-1-1-2-22-12-111112200-1-1-1-1-222-1-111-1-1-2-2111122000-1-1-2-200001111-1-1-21100-2011000-1-1000000000
χ2322222-122-1-1222-12222-2-2-1-1-1-1222-12-1-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-2000-1-1220000-1-1-1-111-21100-201100011000000000
χ2422222-122-1-1222-12222-2-2-1-1-1-1-2-22-12-111112200-1-1-1-12-2-211-1-1-1-1-2-21111-2-2000-1-1-2-200001111112-1-10020-1-100011000000000
χ2522222-122-1-1222-1-2-2-2-222-1-1-1-1222-12-1-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-1-2-200011-2-200001111-1-12-1-100-201100011000000000
χ2622222-122-1-1222-1-2-2-2-222-1-1-1-1-2-22-12-11111-2-2001111-222-1-111-1-1-2-21111-2-200011220000-1-1-1-1-1-1-2110020-1-100011000000000
χ2722222-122-1-1222-1-2-2-2-2-2-2-1-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-12200011-2-20000111111-2110020-1-1000-1-1000000000
χ2822222-122-1-1222-1-2-2-2-2-2-2-1-1-1-1-2-22-12-11111-2-20011112-2-211-1-1-1-1-2-211112200011220000-1-1-1-1112-1-100-2011000-1-1000000000
χ292222-122222-1-1-12000022-1-1-1-122-12-122222002200002-1-12222-1-1-1-1-1-1-1-100222000022-1-10000-1-1-1-1-1000200-1-1-100-1-100000-10
χ302222-122222-1-1-12000022-1-1-1-122-12-12222200-2-200002-1-12222-1-1-1-1-1-1-1-100-2-2-20000-2-2110000-1-1-1-1-1000-20011100110000010
χ312222-122222-1-1-12000022-1-1-1-1-2-2-12-12-2-2-2-200220000-2-1-122-2-2-1-1111111002220000-2-2-1-10000-1-1111000-200-1-1-100110000010
χ322222-122222-1-1-12000022-1-1-1-1-2-2-12-12-2-2-2-200-2-20000-2-1-122-2-2-1-111111100-2-2-2000022110000-1-111100020011100-1-100000-10
χ332222-122222-1-1-120000-2-2-1-1-1-122-12-12222200220000-211-2-2-2-2-1-1-1-1-1-1-1-100-2-22000022-1-1000011111000-200-11100-1-10000010
χ342222-122222-1-1-120000-2-2-1-1-1-122-12-12222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-10022-20000-2-2110000111110002001-1-1001100000-10
χ352222-122222-1-1-120000-2-2-1-1-1-1-2-2-12-12-2-2-2-200220000211-2-222-1-111111100-2-220000-2-2-1-1000011-1-1-1000200-111001100000-10
χ362222-122222-1-1-120000-2-2-1-1-1-1-2-2-12-12-2-2-2-200-2-20000211-2-222-1-11111110022-200002211000011-1-1-1000-2001-1-100-1-10000010
χ3722-2-222002-2-22-2-22i2i−2i−2i0022-2-2−i2i20000−i2−i2i2i2002-22i2i−2i−2i000000000−i2i2−i2−i2i2i200000002−2−i2i22-222−2−2000002i−2i000000000−i2i20002−200
χ3822-2-222002-2-22-2-22i2i−2i−2i0022-2-2−i2i20000−i2−i2i2i200-222i2i−2i−2i000000000−i2i2−i2−i2i2i200000002−2i2−i2-2222−2−200000−2i2i000000000i2−i2000−2200
χ3922-2-222002-2-22-2-22i2i−2i−2i0022-2-2i2−i20000i2i2−i2−i2002-22i2i−2i−2i000000000i2−i2i2i2−i2−i20000000−22i2−i22-2−2−222000002i−2i000000000i2−i2000−2200
χ4022-2-222002-2-22-2-22i2i−2i−2i0022-2-2i2−i20000i2i2−i2−i200-222i2i−2i−2i000000000i2−i2i2i2−i2−i20000000−22−i2i2-22−2−22200000−2i2i000000000−i2i20002−200
χ4122-2-222002-2-22-2-2−2i−2i2i2i0022-2-2−i2i20000−i2−i2i2i2002-2−2i−2i2i2i000000000−i2i2−i2−i2i2i20000000−22−i2i22-2−2−22200000−2i2i000000000−i2i2000−2200
χ4222-2-222002-2-22-2-2−2i−2i2i2i0022-2-2−i2i20000−i2−i2i2i200-22−2i−2i2i2i000000000−i2i2−i2−i2i2i20000000−22i2−i2-22−2−222000002i−2i000000000i2−i20002−200
χ4322-2-222002-2-22-2-2−2i−2i2i2i0022-2-2i2−i20000i2i2−i2−i2002-2−2i−2i2i2i000000000i2−i2i2i2−i2−i200000002−2i2−i22-222−2−200000−2i2i000000000i2−i20002−200
χ4422-2-222002-2-22-2-2−2i−2i2i2i0022-2-2i2−i20000i2i2−i2−i200-22−2i−2i2i2i000000000i2−i2i2i2−i2−i200000002−2−i2i2-2222−2−2000002i−2i000000000−i2i2000−2200
χ452-22-2222-2-2-2-2-2222-22-2002-2-220022-2-200002-2002-22-200000002-2000000002i−2i02-200000000000000000000002i−2i000002i−2i0000
χ462-22-2222-2-2-2-2-2222-22-2002-2-220022-2-200002-2002-22-200000002-200000000−2i2i02-20000000000000000000000−2i2i00000−2i2i0000
χ472-22-2222-2-2-2-2-222-22-22002-2-220022-2-20000-2200-22-2200000002-2000000002i−2i0-2200000000000000000000002i−2i00000−2i2i0000
χ482-22-2222-2-2-2-2-222-22-22002-2-220022-2-20000-2200-22-2200000002-200000000−2i2i0-220000000000000000000000−2i2i000002i−2i0000
χ492-22-222-22-2-2-2-2222-22-22-22-2-2200-2-2220000-22002-22-202-22-200-220000002-2000-2200000000002-20000000000002-2000000000
χ502-22-222-22-2-2-2-2222-22-2-222-2-2200-2-2220000-22002-22-20-22-2200-22000000-22000-220000000000-22000000000000-22000000000
χ512-22-222-22-2-2-2-222-22-222-22-2-2200-2-22200002-200-22-2202-22-200-22000000-220002-200000000002-2000000000000-22000000000
χ522-22-222-22-2-2-2-222-22-22-222-2-2200-2-22200002-200-22-220-22-2200-220000002-20002-20000000000-220000000000002-2000000000
χ532-22-22-1-2211-2-22-12-22-22-2-111-100-212-1−i3i3−i3i3-2200-11-1102-2-11−i3i31-100−i3i3−i3i32-20001-1000000−i3i3−i3i3-110−i3i30000−i3i3000-11000000000
χ542-22-22-1-2211-2-22-12-22-22-2-111-100-212-1i3−i3i3−i3-2200-11-1102-2-11i3−i31-100i3−i3i3−i32-20001-1000000i3−i3i3−i3-110i3−i30000i3−i3000-11000000000
χ552-22-22-1-2211-2-22-12-22-2-22-111-100-212-1−i3i3−i3i3-2200-11-110-221-1i3−i31-100−i3i3−i3i3-220001-1000000−i3i3−i3i31-10i3−i30000i3−i30001-1000000000
χ562-22-22-1-2211-2-22-12-22-2-22-111-100-212-1i3−i3i3−i3-2200-11-110-221-1−i3i31-100i3−i3i3−i3-220001-1000000i3−i3i3−i31-10−i3i30000−i3i30001-1000000000
χ572-22-22-1-2211-2-22-1-22-222-2-111-100-212-1−i3i3−i3i32-2001-11-102-2-11−i3i31-100−i3i3−i3i3-22000-11000000i3−i3i3−i3-110−i3i30000i3−i30001-1000000000
χ582-22-22-1-2211-2-22-1-22-222-2-111-100-212-1i3−i3i3−i32-2001-11-102-2-11i3−i31-100i3−i3i3−i3-22000-11000000−i3i3−i3i3-110i3−i30000−i3i30001-1000000000
χ592-22-22-1-2211-2-22-1-22-22-22-111-100-212-1−i3i3−i3i32-2001-11-10-221-1i3−i31-100−i3i3−i3i32-2000-11000000i3−i3i3−i31-10i3−i30000−i3i3000-11000000000
χ602-22-22-1-2211-2-22-1-22-22-22-111-100-212-1i3−i3i3−i32-2001-11-10-221-1−i3i31-100i3−i3i3−i32-2000-11000000−i3i3−i3i31-10−i3i30000i3−i3000-11000000000
χ6144444-2-4-4-2-2444-2444400-2-2-2-200-42-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ6244444-2-4-4-2-2444-2-4-4-4-400-2-2-2-200-42-4200004400222200000002200000000000-2-200000000000000000000000000000000000
χ634444-24-4-444-2-2-24000000-2-2-2-2002-42-40000004400000000000220000000000-4000000-2-200000000000000020000000000000
χ644444-24-4-444-2-2-24000000-2-2-2-2002-42-4000000-4-400000000000220000000000400000022000000000000000-20000000000000
χ654444-2-244-2-2-2-2-2-2000044111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000011-21100000000000000000000
χ664444-2-244-2-2-2-2-2-20000441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000112-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-20000-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000000-1-12-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-20000-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-1-1-21100000000000000000000
χ6944-4-44-200-22-44-424i4i−4i−4i00-2-222−2i22i20000i2i2−i2−i20000−2i−2i2i2i000000000−2i22i2i2i2−i2−i2000000022−220000−2−2220000000000000000000000000
χ7044-4-44-200-22-44-424i4i−4i−4i00-2-2222i2−2i20000−i2−i2i2i20000−2i−2i2i2i0000000002i2−2i2−i2−i2i2i20000000−2222000022−2−20000000000000000000000000
χ7144-4-44-200-22-44-42−4i−4i4i4i00-2-222−2i22i20000i2i2−i2−i200002i2i−2i−2i000000000−2i22i2i2i2−i2−i20000000−2222000022−2−20000000000000000000000000
χ7244-4-44-200-22-44-42−4i−4i4i4i00-2-2222i2−2i20000−i2−i2i2i200002i2i−2i−2i0000000002i2−2i2−i2−i2i2i2000000022−220000−2−2220000000000000000000000000
χ7344-4-4-24004-42-22-4000000-2-222−2i22i20000−2i2−2i22i22i2004-40000000000000i2−i2i2i2−i2−i2000000000−2i22i2-2200000000000000000000i2−i20000000
χ7444-4-4-24004-42-22-4000000-2-222−2i22i20000−2i2−2i22i22i200-440000000000000i2−i2i2i2−i2−i20000000002i2−2i22-200000000000000000000−i2i20000000
χ7544-4-4-24004-42-22-4000000-2-2222i2−2i200002i22i2−2i2−2i2004-40000000000000−i2i2−i2−i2i2i20000000002i2−2i2-2200000000000000000000−i2i20000000
χ7644-4-4-24004-42-22-4000000-2-2222i2−2i200002i22i2−2i2−2i200-440000000000000−i2i2−i2−i2i2i2000000000−2i22i22-200000000000000000000i2−i20000000
χ774-44-44-24-422-4-44-24-44-400-222-2004-2-4200004-400-22-220000000-2200000000000-2200000000000000000000000000000000000
χ784-44-44-24-422-4-44-2-44-4400-222-2004-2-420000-44002-22-20000000-22000000000002-200000000000000000000000000000000000
χ794-44-4-244-4-4-422-24000000-222-200-242-40000000000000000000-22000000004i−4i0000000000000000000000000−2i2i00000000000
χ804-44-4-244-4-4-422-24000000-222-200-242-40000000000000000000-2200000000−4i4i00000000000000000000000002i−2i00000000000
χ814-44-4-24-44-4-422-2400004-4-222-2002-4-240000000000000-224-4002-200000000000000000000000-2200000000000000000000000
χ824-44-4-24-44-4-422-240000-44-222-2002-4-2400000000000002-2-44002-2000000000000000000000002-200000000000000000000000
χ834-44-4-2-2-442222-2-200004-41-1-110022-2-2−2i32i3−2i32i3000000000-22-22−2i32i3-1100i3−i3i3−i3000000000000000001-10i3−i300000000000000000000
χ844-44-4-2-2-442222-2-200004-41-1-110022-2-22i3−2i32i3−2i3000000000-22-222i3−2i3-1100−i3i3−i3i3000000000000000001-10−i3i300000000000000000000
χ854-44-4-2-2-442222-2-20000-441-1-110022-2-2−2i32i3−2i32i30000000002-22-22i3−2i3-1100i3−i3i3−i300000000000000000-110−i3i300000000000000000000
χ864-44-4-2-2-442222-2-20000-441-1-110022-2-22i3−2i32i3−2i30000000002-22-2−2i32i3-1100−i3i3−i3i300000000000000000-110i3−i300000000000000000000
χ874-4-444400-444-4-4-44i−4i−4i4i004-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ884-4-444400-444-4-4-4−4i4i4i−4i004-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ894-4-444-2002-24-4-424i−4i−4i4i00-22-220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ904-4-444-2002-24-4-424i−4i−4i4i00-22-22000000−666−60000−2i2i2i−2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ914-4-444-2002-24-4-42−4i4i4i−4i00-22-220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ924-4-444-2002-24-4-42−4i4i4i−4i00-22-22000000−666−600002i−2i−2i2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-400-444-44400000022-2-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ9588-8-8-4-400-444-44400000022-2-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ968-88-8-4-48-84444-4-40000002-2-2200-4-44400000000000000000002-2000000000000000000000000000000000000000000000000
χ978-8-88-4800-88-444-8000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-4-44440000002-22-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ998-8-88-4-4004-4-44440000002-22-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000

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