Finite Group Databasebeta

← Group #11824495

Character table — Group #11824495

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order12222222336666666666666622344446666666666666661212121212121212121212121212121244444444444444444444121212121212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-111-1-111
χ7111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-1
χ9111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111
χ12111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-111
χ14111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-111-111-1-1-1-111-1-11111-1-111-1-1
χ15111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-11-1-11111-1-111-1-1-1-11111-1-1
χ16111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11-11-1-1-111-1-11111-1-111-1-1-1-111
χ17222222222-1222-1-1-12-122-1-12-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022220000000000220000-1-1-1-10000-1-1-1-10000
χ18222222222-1222-1-1-12-122-1-12-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000-2-200001111000011110000
χ19222222222-1222-1-1-12-122-1-12-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-21111111111000022-2-200000000002-20000-1-1110000-1-1110000
χ20222222222-1222-1-1-12-122-1-12-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-211111111110000-2-2220000000000-22000011-1-1000011-1-10000
χ21222222222-1222-1-1-12-122-1-12-1-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-1-2-211-1-1-1-11111000022220000000000-2-20000-1-1-1-1000011110000
χ22222222222-1222-1-1-12-122-1-12-1-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-1-2-211-1-1-1-111110000-2-2-2-2000000000022000011110000-1-1-1-10000
χ23222222222-1222-1-1-12-122-1-12-1-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-21122-1-11111-1-1-1-1000022-2-20000000000-220000-1-111000011-1-10000
χ24222222222-1222-1-1-12-122-1-12-1-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-21122-1-11111-1-1-1-10000-2-22200000000002-2000011-1-10000-1-1110000
χ2522222222-12-1-1-1222-12-1-122-1222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122220000000000002200-1-1-1-10000-1-1-1-100000000
χ2622222222-12-1-1-1222-12-1-122-1222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-20011110000111100000000
χ2722222222-12-1-1-1222-12-1-122-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-21111111122-2-20000000000002-200-1-1110000-1-11100000000
χ2822222222-12-1-1-1222-12-1-122-1222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-211111111-2-222000000000000-220011-1-1000011-1-100000000
χ2922222222-12-1-1-1222-12-1-122-12-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-12211-2-2-1-1-1-111112222000000000000-2-200-1-1-1-10000111100000000
χ3022222222-12-1-1-1222-12-1-122-12-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-12211-2-2-1-1-1-11111-2-2-2-2000000000000220011110000-1-1-1-100000000
χ3122222222-12-1-1-1222-12-1-122-12-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-2-1-1221111-1-1-1-122-2-2000000000000-2200-1-111000011-1-100000000
χ3222222222-12-1-1-1222-12-1-122-12-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-2-1-1221111-1-1-1-1-2-2220000000000002-20011-1-10000-1-11100000000
χ33222-2-2-22-222222222-2-2-2-2-2-2-2-22-220000222-2-2-2-22-22-222-2-200000000000000000000000022-2-20000000000000000000000002-200
χ34222-2-2-22-222222222-2-2-2-2-2-2-2-22-220000222-2-2-2-22-22-222-2-2000000000000000000000000-2-222000000000000000000000000-2200
χ35222-2-2-22-222222222-2-2-2-2-2-2-2-2-2220000222-2-2-2-2-22-22-2-22200000000000000000000000022-2-2000000000000000000000000-2200
χ36222-2-2-22-222222222-2-2-2-2-2-2-2-2-2220000222-2-2-2-2-22-22-2-222000000000000000000000000-2-2220000000000000000000000002-200
χ3722-2-22-2-22222-2-22-2-2-2-22-22-22200200002-2-22-22-2000000000000000000000000002-22-200000022-2-20000002-22-200000000000000
χ3822-2-22-2-22222-2-22-2-2-2-22-22-22200200002-2-22-22-2000000000000000000000000002-2-22000000-2-2220000002-2-2200000000000000
χ3922-2-22-2-22222-2-22-2-2-2-22-22-22200200002-2-22-22-200000000000000000000000000-222-2000000-2-222000000-222-200000000000000
χ4022-2-22-2-22222-2-22-2-2-2-22-22-22200200002-2-22-22-200000000000000000000000000-22-2200000022-2-2000000-22-2200000000000000
χ412-22-2-22-2222-22-2-22-2-2-2-22-22220020000-22-2-222-20000000000000000000000002-200002-200002-22-200002-200002-2000000000000
χ422-22-2-22-2222-22-2-22-2-2-2-22-22220020000-22-2-222-20000000000000000000000002-20000-220000-22-2200002-20000-22000000000000
χ432-22-2-22-2222-22-2-22-2-2-2-22-22220020000-22-2-222-2000000000000000000000000-2200002-20000-22-220000-2200002-2000000000000
χ442-22-2-22-2222-22-2-22-2-2-2-22-22220020000-22-2-222-2000000000000000000000000-220000-2200002-22-20000-220000-22000000000000
χ452-2-22-2-22222-2-22-2-2222-2-2-2-2220022-200-2-22-2-222000000002-22-2000022-2-20000000000002-22-22-2-22000000000000000000000000
χ462-2-22-2-22222-2-22-2-2222-2-2-2-2220022-200-2-22-2-222000000002-22-2000022-2-2000000000000-22-22-222-2000000000000000000000000
χ472-2-22-2-22222-2-22-2-2222-2-2-2-222002-2200-2-22-2-22200000000-22-220000-2-2220000000000002-22-2-222-2000000000000000000000000
χ482-2-22-2-22222-2-22-2-2222-2-2-2-222002-2200-2-22-2-22200000000-22-220000-2-222000000000000-22-222-2-22000000000000000000000000
χ492-2-2-2222-222-2-22-2-22-2-22222-2-2002002i−2i-2-2222-2-20000000000002i−2i2i−2i00002i2i−2i−2i000000002-2-22000000000000000000000000002i−2i
χ502-2-2-2222-222-2-22-2-22-2-22222-2-2002002i−2i-2-2222-2-20000000000002i−2i2i−2i00002i2i−2i−2i00000000-222-200000000000000000000000000−2i2i
χ512-2-2-2222-222-2-22-2-22-2-22222-2-200200−2i2i-2-2222-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i000000002-2-2200000000000000000000000000−2i2i
χ522-2-2-2222-222-2-22-2-22-2-22222-2-200200−2i2i-2-2222-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i00000000-222-2000000000000000000000000002i−2i
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244144441111111-2-2-2-21111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-4-41111111-2-2-2-2111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4144-4-411111112222-1-1-1-1-2-2-2-222221111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-44411111112222-1-1-1-12222-2-2-2-2-1-1-1-111110000000000000000000000000000000000000000
χ57444-4-4-44-44-2444-2-2-2-42-4-422-424-4-20000-2-2-222224-4-22-2-22200000000000000000000000000000000000000000000000000000000
χ58444-4-4-44-44-2444-2-2-2-42-4-422-42-44-20000-2-2-22222-442-222-2-200000000000000000000000000000000000000000000000000000000
χ59444-4-4-44-4-24-2-2-24442-422-4-42-44-4-20000-2-2-22222-224-4-2-22200000000000000000000000000000000000000000000000000000000
χ60444-4-4-44-4-24-2-2-24442-422-4-42-4-44-20000-2-2-222222-2-4422-2-200000000000000000000000000000000000000000000000000000000
χ61444-4-4-44-4-2-2-2-2-2-2-2-2222222224-410000111-1-1-1-1-22-2211-1-1000000003i−3i3i−3i3i−3i3i−3i0000000000000000000000000000000000000000
χ62444-4-4-44-4-2-2-2-2-2-2-2-2222222224-410000111-1-1-1-1-22-2211-1-100000000−3i3i−3i3i−3i3i−3i3i0000000000000000000000000000000000000000
χ63444-4-4-44-4-2-2-2-2-2-2-2-222222222-4410000111-1-1-1-12-22-2-1-111000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000000000
χ64444-4-4-44-4-2-2-2-2-2-2-2-222222222-4410000111-1-1-1-12-22-2-1-11100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000000000
χ6544-44-44-4-4444-4-44-4-444-44-44-4-400400004-4-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ6644-44-44-4-44-24-4-4-2224-2-442-2-4200-20000-2222-22-20000000000000000000000000000000000000000000000000000000023−23000000
χ6744-44-44-4-44-24-4-4-2224-2-442-2-4200-20000-2222-22-200000000000000000000000000000000000000000000000000000000−2323000000
χ6844-44-44-4-4-24-2224-4-4-242-2-442-400-20000-2222-22-200000000000000000000000000000000000000000000000000000023−2300000000
χ6944-44-44-4-4-24-2224-4-4-242-2-442-400-20000-2222-22-2000000000000000000000000000000000000000000000000000000−232300000000
χ7044-4-44-4-444-24-4-4-222-424-4-224-200-20000-222-22-2200000000000000000000000000004-4000000000000000000-2200000000000000
χ7144-4-44-4-444-24-4-4-222-424-4-224-200-20000-222-22-220000000000000000000000000000-440000000000000000002-200000000000000
χ7244-4-44-4-44-24-2224-4-42-4-224-4-2400-20000-222-22-22000000000000000000000000004-4000000000000000000-220000000000000000
χ7344-4-44-4-44-24-2224-4-42-4-224-4-2400-20000-222-22-2200000000000000000000000000-440000000000000000002-20000000000000000
χ744-4444-4-4-444-44-4-44-4444-44-4-4-40040000-44-44-4-440000000000000000000000000000000000000000000000000000000000000000
χ754-4444-4-4-44-2-44-42-224-24-4-22-4200-200002-22-222-2000000000000000000000000000000000000000000000000000000000023−230000
χ764-4444-4-4-44-2-44-42-224-24-4-22-4200-200002-22-222-20000000000000000000000000000000000000000000000000000000000−23230000
χ774-4444-4-4-4-242-22-44-4-24-224-42-400-200002-22-222-2000000000000000000000000000000000000000000000000000023−230000000000
χ784-4444-4-4-4-242-22-44-4-24-224-42-400-200002-22-222-20000000000000000000000000000000000000000000000000000−23230000000000
χ794-44-4-44-444-2-44-42-22-42-442-24-200-200002-222-2-220000000000000000000000000000004-4000000000000000000-22000000000000
χ804-44-4-44-444-2-44-42-22-42-442-24-200-200002-222-2-22000000000000000000000000000000-440000000000000000002-2000000000000
χ814-44-4-44-44-242-22-44-42-42-2-44-2400-200002-222-2-220000000000000000000000004-4000000000000000000-22000000000000000000
χ824-44-4-44-44-242-22-44-42-42-2-44-2400-200002-222-2-22000000000000000000000000-440000000000000000002-2000000000000000000
χ834-4-44-4-4444-2-4-4422-24-2-4-4224-200-24-40022-222-2-2000000004-4-220000-2-22200000000000000000000000000000000000000000000
χ844-4-44-4-4444-2-4-4422-24-2-4-4224-200-2-440022-222-2-200000000-442-2000022-2-200000000000000000000000000000000000000000000
χ854-4-44-4-444-2422-2-4-44-2422-4-4-2400-24-40022-222-2-200000000-224-40000-2-22200000000000000000000000000000000000000000000
χ864-4-44-4-444-2422-2-4-44-2422-4-4-2400-2-440022-222-2-2000000002-2-44000022-2-200000000000000000000000000000000000000000000
χ874-4-44-4-444-2-222-222-2-2-22222-2-20014-400-1-11-1-11100003-33-3-22-22000011-1-13-3-330000000000000000000000000000000000000000
χ884-4-44-4-444-2-222-222-2-2-22222-2-20014-400-1-11-1-1110000-33-33-22-22000011-1-1-333-30000000000000000000000000000000000000000
χ894-4-44-4-444-2-222-222-2-2-22222-2-2001-4400-1-11-1-11100003-33-32-22-20000-1-111-333-30000000000000000000000000000000000000000
χ904-4-44-4-444-2-222-222-2-2-22222-2-2001-4400-1-11-1-1110000-33-332-22-20000-1-1113-3-330000000000000000000000000000000000000000
χ914-4-4-4444-44-2-4-4422-2-4244-2-2-4200-2004i−4i22-2-2-2220000000000004i−4i−2i2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ924-4-4-4444-44-2-4-4422-2-4244-2-2-4200-200−4i4i22-2-2-222000000000000−4i4i2i−2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ934-4-4-4444-4-2422-2-4-442-4-2-2442-400-2004i−4i22-2-2-222000000000000−2i2i4i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ944-4-4-4444-4-2422-2-4-442-4-2-2442-400-200−4i4i22-2-2-2220000000000002i−2i−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000
χ954-4-4-4444-4-2-222-222-222-2-2-2-222001004i−4i-1-1111-1-100003-3-330000−2i2i−2i2i3i−3i−3i3iii−i−i0000000000000000000000000000000000000000
χ964-4-4-4444-4-2-222-222-222-2-2-2-222001004i−4i-1-1111-1-10000-333-30000−2i2i−2i2i−3i3i3i−3iii−i−i0000000000000000000000000000000000000000
χ974-4-4-4444-4-2-222-222-222-2-2-2-22200100−4i4i-1-1111-1-100003-3-3300002i−2i2i−2i−3i3i3i−3i−i−iii0000000000000000000000000000000000000000
χ984-4-4-4444-4-2-222-222-222-2-2-2-22200100−4i4i-1-1111-1-10000-333-300002i−2i2i−2i3i−3i−3i3i−i−iii0000000000000000000000000000000000000000
χ9988-88-88-8-8-4-4-444-444-4-44-44-44400200002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-8-88-4-4-444-44444-44-44-4-400200002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000
χ1018-8888-8-8-8-4-44-444-44-4-4-44-44440020000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-88-88-4-44-444-44444-44-4-4-40020000-22-2-222-20000000000000000000000000000000000000000000000000000000000000000

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