Finite Group Databasebeta

← Group #11824440

Character table — Group #11824440

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666223444466666666666666612121212121212121212121212121212444444444444444422226666666612121212121212122244
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
χ9111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ10111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111
χ11111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111
χ12111111111111111111111111-1-1111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ13111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-1-111
χ14111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-111-1-1-11111-1-111-1-1-1-11111-1-1
χ15111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-111-1-1
χ16111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-111
χ17222222222-1222-1-1-122-1-122-1-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022220000000000220000-1-1-1-10000-1-1-1-10000
χ18222222222-1222-1-1-122-1-122-1-122-12222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000-2-200001111000011110000
χ19222222222-1222-1-1-122-1-122-1-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-21111111111000022-2-200000000002-20000-1-1110000-1-1110000
χ20222222222-1222-1-1-122-1-122-1-122-1-2-2-2-2-1-1-1-1-1-1-122-1-1-1-1-1-1-2-211-2-211111111110000-2-2220000000000-22000011-1-1000011-1-10000
χ21222222222-1222-1-1-122-1-122-1-1-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-1-2-211-1-1-1-11111000022220000000000-2-2000011110000-1-1-1-10000
χ22222222222-1222-1-1-122-1-122-1-1-2-2-122-2-2-1-1-1-1-1-1-1-2-211111122-1-1-2-211-1-1-1-111110000-2-2-2-20000000000220000-1-1-1-1000011110000
χ23222222222-1222-1-1-122-1-122-1-1-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-21122-1-11111-1-1-1-1000022-2-20000000000-22000011-1-10000-1-1110000
χ24222222222-1222-1-1-122-1-122-1-1-2-2-1-2-222-1-1-1-1-1-1-1-2-2111111-2-21122-1-11111-1-1-1-10000-2-22200000000002-20000-1-111000011-1-10000
χ2522222222-12-1-1-1222-1-122-1-12222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122220000000000002200-1-1-1-10000-1-1-1-100000000
χ2622222222-12-1-1-1222-1-122-1-12222-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-20011110000111100000000
χ2722222222-12-1-1-1222-1-122-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-21111111122-2-20000000000002-200-1-1110000-1-11100000000
χ2822222222-12-1-1-1222-1-122-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1-1-111-2-211-2-211111111-2-222000000000000-220011-1-1000011-1-100000000
χ2922222222-12-1-1-1222-1-122-1-122-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-12211-2-2-1-1-1-111112222000000000000-2-20011110000-1-1-1-100000000
χ3022222222-12-1-1-1222-1-122-1-122-2-2-122-2-2-1-1-1-1-1-1-111-2-21111-1-12211-2-2-1-1-1-11111-2-2-2-20000000000002200-1-1-1-10000111100000000
χ3122222222-12-1-1-1222-1-122-1-122-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-2-1-1221111-1-1-1-122-2-2000000000000-220011-1-10000-1-11100000000
χ3222222222-12-1-1-1222-1-122-1-122-2-2-1-2-222-1-1-1-1-1-1-111-2-2111111-2-2-1-1221111-1-1-1-1-2-2220000000000002-200-1-111000011-1-100000000
χ33222-2-2-22-222222222-2-2-2-2-2-2-2-2002002i−2i222-2-2-2-20000000000002i−2i2i−2i00002i2i−2i−2i0000000022-2-2000000000000000000000000002i−2i
χ34222-2-2-22-222222222-2-2-2-2-2-2-2-2002002i−2i222-2-2-2-20000000000002i−2i2i−2i00002i2i−2i−2i00000000-2-22200000000000000000000000000−2i2i
χ35222-2-2-22-222222222-2-2-2-2-2-2-2-200200−2i2i222-2-2-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i0000000022-2-200000000000000000000000000−2i2i
χ36222-2-2-22-222222222-2-2-2-2-2-2-2-200200−2i2i222-2-2-2-2000000000000−2i2i−2i2i0000−2i−2i2i2i00000000-2-222000000000000000000000000002i−2i
χ3722-2-22-2-22222-2-22-2-22-22-22-22-200200002-2-22-22-2000000000000000000000000002-22-200000022-2-2000000000000002-22-2000000
χ3822-2-22-2-22222-2-22-2-22-22-22-22-200200002-2-22-22-2000000000000000000000000002-2-22000000-2-222000000000000002-2-22000000
χ3922-2-22-2-22222-2-22-2-22-22-22-22-200200002-2-22-22-200000000000000000000000000-222-2000000-2-22200000000000000-222-2000000
χ4022-2-22-2-22222-2-22-2-22-22-22-22-200200002-2-22-22-200000000000000000000000000-22-2200000022-2-200000000000000-22-22000000
χ412-22-2-22-2222-22-2-22-22-22-2-22-220020000-22-2-222-20000000000000000000000002-200002-200002-22-20000000000002-200002-20000
χ422-22-2-22-2222-22-2-22-22-22-2-22-220020000-22-2-222-20000000000000000000000002-20000-220000-22-220000000000002-20000-220000
χ432-22-2-22-2222-22-2-22-22-22-2-22-220020000-22-2-222-2000000000000000000000000-2200002-20000-22-22000000000000-2200002-20000
χ442-22-2-22-2222-22-2-22-22-22-2-22-220020000-22-2-222-2000000000000000000000000-220000-2200002-22-2000000000000-220000-220000
χ452-2-22-2-22222-2-22-2-222222-2-2-2-20022-200-2-22-2-222000000002-22-2000022-2-20000000000002-22-22-2-22000000000000000000000000
χ462-2-22-2-22222-2-22-2-222222-2-2-2-20022-200-2-22-2-222000000002-22-2000022-2-2000000000000-22-22-222-2000000000000000000000000
χ472-2-22-2-22222-2-22-2-222222-2-2-2-2002-2200-2-22-2-22200000000-22-220000-2-2220000000000002-22-2-222-2000000000000000000000000
χ482-2-22-2-22222-2-22-2-222222-2-2-2-2002-2200-2-22-2-22200000000-22-220000-2-222000000000000-22-222-2-22000000000000000000000000
χ492-2-2-2222-222-2-22-2-22-2-2-2-222222-220000-2-2222-2-22-22-222-2-20000000000000000000000002-2-220000000000000000000000002-200
χ502-2-2-2222-222-2-22-2-22-2-2-2-222222-220000-2-2222-2-22-22-222-2-2000000000000000000000000-222-2000000000000000000000000-2200
χ512-2-2-2222-222-2-22-2-22-2-2-2-22222-2220000-2-2222-2-2-22-22-2-2220000000000000000000000002-2-22000000000000000000000000-2200
χ522-2-2-2222-222-2-22-2-22-2-2-2-22222-2220000-2-2222-2-2-22-22-2-222000000000000000000000000-222-20000000000000000000000002-200
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
χ57444-4-4-44-44-2444-2-2-2-4-422-4-42200-2004i−4i-2-2-222220000000000004i−4i−2i2i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ58444-4-4-44-44-2444-2-2-2-4-422-4-42200-200−4i4i-2-2-22222000000000000−4i4i2i−2i00002i2i−2i−2i0000000000000000000000000000000000000000
χ59444-4-4-44-4-24-2-2-244422-4-422-4-400-2004i−4i-2-2-22222000000000000−2i2i4i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000
χ60444-4-4-44-4-24-2-2-244422-4-422-4-400-200−4i4i-2-2-222220000000000002i−2i−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000
χ61444-4-4-44-4-2-2-2-2-2-2-2-222222222001004i−4i111-1-1-1-100003-33-30000−2i2i−2i2i3i−3i3i−3iii−i−i0000000000000000000000000000000000000000
χ62444-4-4-44-4-2-2-2-2-2-2-2-222222222001004i−4i111-1-1-1-10000-33-330000−2i2i−2i2i−3i3i−3i3iii−i−i0000000000000000000000000000000000000000
χ63444-4-4-44-4-2-2-2-2-2-2-2-22222222200100−4i4i111-1-1-1-100003-33-300002i−2i2i−2i−3i3i−3i3i−i−iii0000000000000000000000000000000000000000
χ64444-4-4-44-4-2-2-2-2-2-2-2-22222222200100−4i4i111-1-1-1-10000-33-3300002i−2i2i−2i3i−3i3i−3i−i−iii0000000000000000000000000000000000000000
χ6544-44-44-4-4444-4-44-4-4-44-44-44-4400400004-4-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ6644-44-44-4-44-24-4-4-222-442-2-442-200-20000-2222-22-200000000000000000000000000000000000000000000000000−2i32i3000000000000
χ6744-44-44-4-44-24-4-4-222-442-2-442-200-20000-2222-22-2000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ6844-44-44-4-4-24-2224-4-42-2-442-2-4400-20000-2222-22-200000000000000000000000000000000000000000000−2i32i3000000000000000000
χ6944-44-44-4-4-24-2224-4-42-2-442-2-4400-20000-2222-22-2000000000000000000000000000000000000000000002i3−2i3000000000000000000
χ7044-4-44-4-444-24-4-4-2224-4-224-4-2200-20000-222-22-2200000000000000000000000000004-400000000000000000000000000-22000000
χ7144-4-44-4-444-24-4-4-2224-4-224-4-2200-20000-222-22-220000000000000000000000000000-44000000000000000000000000002-2000000
χ7244-4-44-4-44-24-2224-4-4-224-4-224-400-20000-222-22-22000000000000000000000000004-400000000000000000000000000-2200000000
χ7344-4-44-4-44-24-2224-4-4-224-4-224-400-20000-222-22-2200000000000000000000000000-44000000000000000000000000002-200000000
χ744-4444-4-4-444-44-4-44-4-44-444-44-40040000-44-44-4-440000000000000000000000000000000000000000000000000000000000000000
χ754-4444-4-4-44-2-44-42-22-442-24-4-2200-200002-22-222-2000000000000000000000000000000000000000000000000−2i32i300000000000000
χ764-4444-4-4-44-2-44-42-22-442-24-4-2200-200002-22-222-20000000000000000000000000000000000000000000000002i3−2i300000000000000
χ774-4444-4-4-4-242-22-44-42-2-44-224-400-200002-22-222-20000000000000000000000000000000000000000000000−2i32i30000000000000000
χ784-4444-4-4-4-242-22-44-42-2-44-224-400-200002-22-222-200000000000000000000000000000000000000000000002i3−2i30000000000000000
χ794-44-4-44-444-2-44-42-224-4-22-442-200-200002-222-2-220000000000000000000000000000004-400000000000000000000000000-220000
χ804-44-4-44-444-2-44-42-224-4-22-442-200-200002-222-2-22000000000000000000000000000000-44000000000000000000000000002-20000
χ814-44-4-44-44-242-22-44-4-224-42-2-4400-200002-222-2-220000000000000000000000004-400000000000000000000000000-220000000000
χ824-44-4-44-44-242-22-44-4-224-42-2-4400-200002-222-2-22000000000000000000000000-44000000000000000000000000002-20000000000
χ834-4-44-4-4444-2-4-4422-244-2-2-4-42200-24-40022-222-2-2000000004-4-220000-2-22200000000000000000000000000000000000000000000
χ844-4-44-4-4444-2-4-4422-244-2-2-4-42200-2-440022-222-2-200000000-442-2000022-2-200000000000000000000000000000000000000000000
χ854-4-44-4-444-2422-2-4-44-2-24422-4-400-24-40022-222-2-200000000-224-40000-2-22200000000000000000000000000000000000000000000
χ864-4-44-4-444-2422-2-4-44-2-24422-4-400-2-440022-222-2-2000000002-2-44000022-2-200000000000000000000000000000000000000000000
χ874-4-44-4-444-2-222-222-2-2-2-2-222220014-400-1-11-1-11100003-3-33-22-22000011-1-13-33-30000000000000000000000000000000000000000
χ884-4-44-4-444-2-222-222-2-2-2-2-222220014-400-1-11-1-1110000-333-3-22-22000011-1-1-33-330000000000000000000000000000000000000000
χ894-4-44-4-444-2-222-222-2-2-2-2-22222001-4400-1-11-1-11100003-3-332-22-20000-1-111-33-330000000000000000000000000000000000000000
χ904-4-44-4-444-2-222-222-2-2-2-2-22222001-4400-1-11-1-1110000-333-32-22-20000-1-1113-33-30000000000000000000000000000000000000000
χ914-4-4-4444-44-2-4-4422-2-4-42244-2-24-4-2000022-2-2-2224-4-22-2-22200000000000000000000000000000000000000000000000000000000
χ924-4-4-4444-44-2-4-4422-2-4-42244-2-2-44-2000022-2-2-222-442-222-2-200000000000000000000000000000000000000000000000000000000
χ934-4-4-4444-4-2422-2-4-4422-4-4-2-2444-4-2000022-2-2-222-224-4-2-22200000000000000000000000000000000000000000000000000000000
χ944-4-4-4444-4-2422-2-4-4422-4-4-2-244-44-2000022-2-2-2222-2-4422-2-200000000000000000000000000000000000000000000000000000000
χ954-4-4-4444-4-2-222-222-22222-2-2-2-24-410000-1-1111-1-1-22-2211-1-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ964-4-4-4444-4-2-222-222-22222-2-2-2-24-410000-1-1111-1-1-22-2211-1-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ974-4-4-4444-4-2-222-222-22222-2-2-2-2-4410000-1-1111-1-12-22-2-1-111000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ984-4-4-4444-4-2-222-222-22222-2-2-2-2-4410000-1-1111-1-12-22-2-1-11100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ9988-88-88-8-8-4-4-444-4444-44-44-44-400200002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-8-88-4-4-444-444-44-44-44-4400200002-2-22-22-20000000000000000000000000000000000000000000000000000000000000000
χ1018-8888-8-8-8-4-44-444-444-44-4-44-440020000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-88-88-4-44-444-44-44-444-44-40020000-22-2-222-20000000000000000000000000000000000000000000000000000000000000000

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