Finite Group Databasebeta

← Group #11863888

Character table — Group #11863888

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242422221212121226612121212121224242424242422444666688882424242466612124444661212121212242422288124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-11111-1-1111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-111-1-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-1-11-1-111-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-1111111111111111-1-111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-1-111111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-111-1-1-11-1-111111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-111-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111-1-111-1-111-1-11111111-1-1-1-11-111-1-11-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-111-1-1-1-111111111111-1-111-1-111-1-1-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-200000000-20022-2-2000000000000022000000-20000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000200-2-2-2-20000000000000-2-2000000200002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-200000000-20022220000000000000-2-2000000-200002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000200-2-22200000000000002200000020000-2000000
χ2122222-1222-1-122-12222-122-1-1-122-122-1-1-1-1-12200-1-1-1-12-1-122-1-1-1-122-1-1-1-12200000-1-12200-1-1-1-12-1-1-1-10002-1-1-1-1000000000000
χ2222222-1222-1-122-12222-122-1-1-1-2-2-122-111112200-1-1-1-1-21122-1-1-1-1-2-211112200000-1-1-2-2001111-211-1-1000-2-1-111000000000000
χ2322222-1222-1-122-12222-1-2-2-1-1-122-122-1-1-1-1-12200-1-1-1-1-211-2-211-1-122-1-1-1-1-2-200000-1-12200-1-1-1-1-21111000-21111000000000000
χ2422222-1222-1-122-12222-1-2-2-1-1-1-2-2-122-111112200-1-1-1-12-1-1-2-211-1-1-2-21111-2-200000-1-1-2-20011112-1-111000211-1-1000000000000
χ2522222-1222-1-122-1-2-2-2-2-122-1-1-122-122-1-1-1-1-1-2-20011112-1-122-1-1-1-122-1-1-1-1-2-20000011-2-20011112-1-1-1-1000-21111000000000000
χ2622222-1222-1-122-1-2-2-2-2-122-1-1-1-2-2-122-11111-2-2001111-21122-1-1-1-1-2-21111-2-200000112200-1-1-1-1-211-1-1000211-1-1000000000000
χ2722222-1222-1-122-1-2-2-2-2-1-2-2-1-1-122-122-1-1-1-1-1-2-2001111-211-2-211-1-122-1-1-1-1220000011-2-2001111-211110002-1-1-1-1000000000000
χ2822222-1222-1-122-1-2-2-2-2-1-2-2-1-1-1-2-2-122-11111-2-20011112-1-1-2-211-1-1-2-211112200000112200-1-1-1-12-1-111000-2-1-111000000000000
χ292222-1222-122-1-120000-122-1-1-1222-1-12222200220000222-1-122-1-1-1-1-1-1-1-100222-1-10000220000-1-1-1-1-100200000-1-1-1-1-100000-10
χ302222-1222-122-1-120000-122-1-1-1222-1-12222200-2-20000222-1-122-1-1-1-1-1-1-1-100-2-2-2110000-2-20000-1-1-1-1-100-200000111110000010
χ312222-1222-122-1-120000-122-1-1-1-2-22-1-12-2-2-2-200220000-2-2-2-1-122-1-111111100222-1-10000-2-20000111-1-100-200000-1-1-1110000010
χ322222-1222-122-1-120000-122-1-1-1-2-22-1-12-2-2-2-200-2-20000-2-2-2-1-122-1-111111100-2-2-2110000220000111-1-100200000111-1-100000-10
χ332222-1222-122-1-120000-1-2-2-1-1-1222-1-12222200220000-2-2-211-2-2-1-1-1-1-1-1-1-1002-2-2-1-100002200001111100-200000-111-1-10000010
χ342222-1222-122-1-120000-1-2-2-1-1-1222-1-12222200-2-20000-2-2-211-2-2-1-1-1-1-1-1-1-100-222110000-2-2000011111002000001-1-11100000-10
χ352222-1222-122-1-120000-1-2-2-1-1-1-2-22-1-12-2-2-2-20022000022211-2-2-1-1111111002-2-2-1-10000-2-20000-1-1-11100200000-1111100000-10
χ362222-1222-122-1-120000-1-2-2-1-1-1-2-22-1-12-2-2-2-200-2-2000022211-2-2-1-111111100-222110000220000-1-1-11100-2000001-1-1-1-10000010
χ3722-2-22200-22-22-2-22i2i−2i−2i2002-2-2−i2i20000−i2−i2i2i2002-22i2i−2i−2i000000000−i2i2−i2−i2i2i2000002-2002−2−i2i222−2−2000002i−2i000000000−i2i20002−200
χ3822-2-22200-22-22-2-22i2i−2i−2i2002-2-2−i2i20000−i2−i2i2i200-222i2i−2i−2i000000000−i2i2−i2−i2i2i200000-22002−2i2−i222−2−200000−2i2i000000000i2−i2000−2200
χ3922-2-22200-22-22-2-22i2i−2i−2i2002-2-2i2−i20000i2i2−i2−i2002-22i2i−2i−2i000000000i2−i2i2i2−i2−i2000002-200−22i2−i2−2−222000002i−2i000000000i2−i2000−2200
χ4022-2-22200-22-22-2-22i2i−2i−2i2002-2-2i2−i20000i2i2−i2−i200-222i2i−2i−2i000000000i2−i2i2i2−i2−i200000-2200−22−i2i2−2−22200000−2i2i000000000−i2i20002−200
χ4122-2-22200-22-22-2-2−2i−2i2i2i2002-2-2−i2i20000−i2−i2i2i2002-2−2i−2i2i2i000000000−i2i2−i2−i2i2i2000002-200−22−i2i2−2−22200000−2i2i000000000−i2i2000−2200
χ4222-2-22200-22-22-2-2−2i−2i2i2i2002-2-2−i2i20000−i2−i2i2i200-22−2i−2i2i2i000000000−i2i2−i2−i2i2i200000-2200−22i2−i2−2−222000002i−2i000000000i2−i20002−200
χ4322-2-22200-22-22-2-2−2i−2i2i2i2002-2-2i2−i20000i2i2−i2−i2002-2−2i−2i2i2i000000000i2−i2i2i2−i2−i2000002-2002−2i2−i222−2−200000−2i2i000000000i2−i20002−200
χ4422-2-22200-22-22-2-2−2i−2i2i2i2002-2-2i2−i20000i2i2−i2−i200-22−2i−2i2i2i000000000i2−i2i2i2−i2−i200000-22002−2−i2i222−2−2000002i−2i000000000−i2i2000−2200
χ452-2-22222-2-2-2-2-2222-22-222-2-2-2200-22-2200002-2002-22-20002-22-2-220000002-2000002-2000000000002-200002-200000000000000
χ462-2-22222-2-2-2-2-2222-22-22-22-2-2200-22-2200002-2002-22-2000-22-22-22000000-22000002-200000000000-220000-2200000000000000
χ472-2-22222-2-2-2-2-222-22-2222-2-2-2200-22-220000-2200-22-220002-22-2-22000000-2200000-22000000000002-20000-2200000000000000
χ482-2-22222-2-2-2-2-222-22-222-22-2-2200-22-220000-2200-22-22000-22-22-220000002-200000-2200000000000-2200002-200000000000000
χ492-2-2222-22-2-2-2-2222-22-2200-2-22002-22-20000-22002-22-200000002-20000000002-200-2200000000000000000000002-20002-20000
χ502-2-2222-22-2-2-2-2222-22-2200-2-22002-22-20000-22002-22-200000002-2000000000-2200-220000000000000000000000-22000-220000
χ512-2-2222-22-2-2-2-222-22-22200-2-22002-22-200002-200-22-2200000002-20000000002-2002-200000000000000000000002-2000-220000
χ522-2-2222-22-2-2-2-222-22-22200-2-22002-22-200002-200-22-2200000002-2000000000-22002-20000000000000000000000-220002-20000
χ532-2-222-12-2-211-22-12-22-2-12-211-10012-2-1−i3i3−i3i32-200-11-110−i3i32-2-111-100−i3i3−i3i32-200000-110000−i3i3−i3i30−i3i3-110000-11−i3i3000000000000
χ542-2-222-12-2-211-22-12-22-2-12-211-10012-2-1i3−i3i3−i32-200-11-110i3−i32-2-111-100i3−i3i3−i32-200000-110000i3−i3i3−i30i3−i3-110000-11i3−i3000000000000
χ552-2-222-12-2-211-22-12-22-2-1-2211-10012-2-1−i3i3−i3i32-200-11-110i3−i3-221-11-100−i3i3−i3i3-2200000-110000−i3i3−i3i30i3−i31-100001-1i3−i3000000000000
χ562-2-222-12-2-211-22-12-22-2-1-2211-10012-2-1i3−i3i3−i32-200-11-110−i3i3-221-11-100i3−i3i3−i3-2200000-110000i3−i3i3−i30−i3i31-100001-1−i3i3000000000000
χ572-2-222-12-2-211-22-1-22-22-12-211-10012-2-1−i3i3−i3i3-22001-11-10−i3i32-2-111-100−i3i3−i3i3-22000001-10000i3−i3i3−i30−i3i3-1100001-1i3−i3000000000000
χ582-2-222-12-2-211-22-1-22-22-12-211-10012-2-1i3−i3i3−i3-22001-11-10i3−i32-2-111-100i3−i3i3−i3-22000001-10000−i3i3−i3i30i3−i3-1100001-1−i3i3000000000000
χ592-2-222-12-2-211-22-1-22-22-1-2211-10012-2-1−i3i3−i3i3-22001-11-10i3−i3-221-11-100−i3i3−i3i32-2000001-10000i3−i3i3−i30i3−i31-10000-11−i3i3000000000000
χ602-2-222-12-2-211-22-1-22-22-1-2211-10012-2-1i3−i3i3−i3-22001-11-10−i3i3-221-11-100i3−i3i3−i32-2000001-10000−i3i3−i3i30−i3i31-10000-11i3−i3000000000000
χ6144444-2-4-44-2-244-24444-200-2-2-2002-4-420000-4-400-2-2-2-2000000022000000000000022000000000000000000000000000000000
χ6244444-2-4-44-2-244-2-4-4-4-4-200-2-2-2002-4-420000440022220000000220000000000000-2-2000000000000000000000000000000000
χ634444-24-4-4-244-2-240000-200-2-2-200-422-400000044000000000002200000000-400-2-200000000000000000000000200000000000
χ644444-24-4-4-244-2-240000-200-2-2-200-422-4000000-4-40000000000022000000004002200000000000000000000000-200000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-1000000000000000002-1-11100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-100000000000000000-211-1-100000000000000000000
χ6944-4-44-200-4-224-424i4i−4i−4i-200-222−2i22i20000i2i2−i2−i20000−2i−2i2i2i000000000−2i22i2i2i2−i2−i200000000022−2200−2−2220000000000000000000000000
χ7044-4-44-200-4-224-424i4i−4i−4i-200-2222i2−2i20000−i2−i2i2i20000−2i−2i2i2i0000000002i2−2i2−i2−i2i2i2000000000−22220022−2−20000000000000000000000000
χ7144-4-44-200-4-224-42−4i−4i4i4i-200-222−2i22i20000i2i2−i2−i200002i2i−2i−2i000000000−2i22i2i2i2−i2−i2000000000−22220022−2−20000000000000000000000000
χ7244-4-44-200-4-224-42−4i−4i4i4i-200-2222i2−2i20000−i2−i2i2i200002i2i−2i−2i0000000002i2−2i2−i2−i2i2i200000000022−2200−2−2220000000000000000000000000
χ7344-4-4-240024-4-22-40000-200-222−2i22i20000−2i2−2i22i22i2004-40000000000000i2−i2i2i2−i2−i200000-220000−2i22i200000000000000000000i2−i20000000
χ7444-4-4-240024-4-22-40000-200-222−2i22i20000−2i2−2i22i22i200-440000000000000i2−i2i2i2−i2−i2000002-200002i2−2i200000000000000000000−i2i20000000
χ7544-4-4-240024-4-22-40000-200-2222i2−2i200002i22i2−2i2−2i2004-40000000000000−i2i2−i2−i2i2i200000-2200002i2−2i200000000000000000000−i2i20000000
χ7644-4-4-240024-4-22-40000-200-2222i2−2i200002i22i2−2i2−2i200-440000000000000−i2i2−i2−i2i2i2000002-20000−2i22i200000000000000000000i2−i20000000
χ774-44-444004-44-4-4-44i−4i−4i4i400-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ784-44-444004-44-4-4-4−4i4i4i−4i400-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ794-44-44-20042-2-4-424i−4i−4i4i-2002-220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ804-44-44-20042-2-4-424i−4i−4i4i-2002-22000000−666−60000−2i2i2i−2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ814-44-44-20042-2-4-42−4i4i4i−4i-2002-220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ824-44-44-20042-2-4-42−4i4i4i−4i-2002-22000000−666−600002i−2i−2i2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ834-4-444-2-44-422-44-24-44-4-20022-200-2-4420000-4400-22-220000000-2200000000000002-2000000000000000000000000000000000
χ844-4-444-2-44-422-44-2-44-44-20022-200-2-44200004-4002-22-20000000-220000000000000-22000000000000000000000000000000000
χ854-4-44-244-42-4-42-240000-24-422-200-4-224000000000000000-224-42-200000000000000000000000000-2200000000000000000000
χ864-4-44-244-42-4-42-240000-2-4422-200-4-2240000000000000002-2-442-2000000000000000000000000002-200000000000000000000
χ874-4-44-24-442-4-42-240000-20022-20042-2-40000000000000000000-220000000004-400000000000000000000000000-22000000000
χ884-4-44-24-442-4-42-240000-20022-20042-2-40000000000000000000-22000000000-44000000000000000000000000002-2000000000
χ894-4-44-2-24-42222-2-2000014-4-1-11002-22-2−2i32i3−2i32i3000000000−2i32i3-22-22-1100i3−i3i3−i3000000000000000000i3−i31-100000000000000000000
χ904-4-44-2-24-42222-2-2000014-4-1-11002-22-22i3−2i32i3−2i30000000002i3−2i3-22-22-1100−i3i3−i3i3000000000000000000−i3i31-100000000000000000000
χ914-4-44-2-24-42222-2-200001-44-1-11002-22-2−2i32i3−2i32i30000000002i3−2i32-22-2-1100i3−i3i3−i3000000000000000000−i3i3-1100000000000000000000
χ924-4-44-2-24-42222-2-200001-44-1-11002-22-22i3−2i32i3−2i3000000000−2i32i32-22-2-1100−i3i3−i3i3000000000000000000i3−i3-1100000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-4004-44-44400002002-2-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ9588-8-8-4-4004-44-44400002002-2-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ968-88-8-4800-4-8844-80000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-400-44-44440000200-22-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ988-88-8-4-400-44-44440000200-22-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ998-8-88-4-4-884444-4-40000200-2-2200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000

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