Finite Group Databasebeta

← Group #11864237

Character table — Group #11864237

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444444448888888888121212121212121218181818181818182424242424242424242424244848484872727272
order122244233466666612121212666612121212121222224444222244444444666612121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-111-11111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ6111111-111-11111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ7111111-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ8111111-111-11111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1
χ91111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11-111-1-1-1-1111-11-11-11-1
χ101111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-1111-1-1-1-111-11-11-11-11
χ111111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-1-11111-1-11-11-1-11-11
χ121111-1-1111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-11111-1-1-11-111-11-1
χ131111-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-11-1-111-1-11
χ141111-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-111-11111-1-1-1-1-111-1-111-1
χ151111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-11-1-1-1-111111-1-11-111-1
χ161111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-1-1-1-11111-111-11-1-11
χ1722222222222222222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000
χ18222222-222-22222222222-2-2-2-222-2-2-2-200000000-2-22222-2-200000000000000000000
χ192222-2-2222-2222222-2-2-2-22222-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000
χ202222-2-2-2222222222-2-2-2-2-2-2-2-2-2-222220000000022-2-222-2-200000000000000000000
χ212-2-222-20220-2-2-2-22222-2-200002-20000002-2002-22-200002-20000002-2002-200000000
χ222-2-222-20220-2-2-2-22222-2-200002-2000000-2200-222-200002-2000000-2200-2200000000
χ232-2-222-20220-2-2-2-22222-2-200002-200002-2002-200-220000-2200002-2002-20000000000
χ242-2-222-20220-2-2-2-22222-2-200002-20000-2200-2200-220000-220000-2200-220000000000
χ252-2-22-220220-2-2-2-222-2-2220000-220000002-200-22-2200002-20000002-200-2200000000
χ262-2-22-220220-2-2-2-222-2-2220000-22000000-22002-2-2200002-2000000-22002-200000000
χ272-2-22-220220-2-2-2-222-2-2220000-2200002-200-22002-20000-2200002-200-220000000000
χ282-2-22-220220-2-2-2-222-2-2220000-220000-22002-2002-20000-220000-22002-20000000000
χ2944444441-241-2-211-2-2-2-2-211-2-21111-2-20000000000000000222200000000-1-1-1-10000
χ3044444441-241-2-211-2-2-2-2-211-2-21111-2-20000000000000000-2-2-2-20000000011110000
χ314444444-214-211-2-211111-2-211-2-2-2-21122222222000000000000-1-1-1-1-1-1-1-100000000
χ324444444-214-211-2-211111-2-211-2-2-2-211-2-2-2-2-2-2-2-20000000000001111111100000000
χ33444444-41-2-41-2-211-2-2-2-2-2-1-12211-1-122000000000000000022-2-200000000-1-1110000
χ34444444-41-2-41-2-211-2-2-2-2-2-1-12211-1-1220000000000000000-2-2220000000011-1-10000
χ35444444-4-21-4-211-2-21111122-1-1-2-222-1-122-2-222-2-2000000000000-1-111-1-11100000000
χ36444444-4-21-4-211-2-21111122-1-1-2-222-1-1-2-222-2-22200000000000011-1-111-1-100000000
χ374444-4-441-2-41-2-211-2222211-2-2-1-1-1-12200000000000000002-22-200000000-11-110000
χ384444-4-441-2-41-2-211-2222211-2-2-1-1-1-1220000000000000000-22-22000000001-11-10000
χ394444-4-44-21-4-211-2-21-1-1-1-1-2-2112222-1-122-2-2-2-222000000000000-1-11111-1-100000000
χ404444-4-44-21-4-211-2-21-1-1-1-1-2-2112222-1-1-2-22222-2-200000000000011-1-1-1-11100000000
χ414444-4-4-41-241-2-211-22222-1-122-1-111-2-200000000000000002-2-2200000000-111-10000
χ424444-4-4-41-241-2-211-22222-1-122-1-111-2-20000000000000000-222-2000000001-1-110000
χ434444-4-4-4-214-211-2-21-1-1-1-122-1-122-2-2112222-2-2-2-2000000000000-1-1-1-1111100000000
χ444444-4-4-4-214-211-2-21-1-1-1-122-1-122-2-211-2-2-2-222220000000000001111-1-1-1-100000000
χ4544-4-400044044-4-4-4-40000000000000000000000004-4000000000000000000000000
χ4644-4-400044044-4-4-4-4000000000000000000000000-44000000000000000000000000
χ474-44-4000440-4-444-4-4000000000000000000000000004i−4i0000000000000000000000
χ484-44-4000440-4-444-4-400000000000000000000000000−4i4i0000000000000000000000
χ494-4-444-40-2102-1-12-2111-1-1003-3-22003-32-22-22-22-2000000000000-11-11-11-1100000000
χ504-4-444-40-2102-1-12-2111-1-1003-3-22003-3-22-22-22-220000000000001-11-11-11-100000000
χ514-4-444-40-2102-1-12-2111-1-100-33-2200-332-2-222-2-22000000000000-111-1-111-100000000
χ524-4-444-40-2102-1-12-2111-1-100-33-2200-33-222-2-222-20000000000001-1-111-1-1100000000
χ534-4-44-440-2102-1-12-21-1-111003-32-200-332-2-22-222-2000000000000-111-11-1-1100000000
χ544-4-44-440-2102-1-12-21-1-111003-32-200-33-222-22-2-220000000000001-1-11-111-100000000
χ554-4-44-440-2102-1-12-21-1-11100-332-2003-32-22-2-22-22000000000000-11-111-11-100000000
χ564-4-44-440-2102-1-12-21-1-11100-332-2003-3-22-222-22-20000000000001-11-1-11-1100000000
χ5788-8-80002-402-44-2-2400006-600000000000000000000000000000000000000000000
χ5888-8-80002-402-44-2-240000-6600000000000000000000000000000000000000000000
χ5988-8-8000-420-42-244-26i−6i6i−6i0000000000000000000000000000000000000000000000
χ6088-8-8000-420-42-244-2−6i6i−6i6i0000000000000000000000000000000000000000000000
χ618-88-80002-40-24-42-2400000000006i−6i00000000000000000000000000000000000000
χ628-88-80002-40-24-42-240000000000−6i6i00000000000000000000000000000000000000
χ638-88-8000-4204-22-44-26i−6i−6i6i0000000000000000000000000000000000000000000000
χ648-88-8000-4204-22-44-2−6i6i6i−6i0000000000000000000000000000000000000000000000
χ658-8-888-802-40-244-22-4-4-44400002-20000000000000000000000000000000000000000
χ668-8-88-8802-40-244-22-444-4-40000-220000000000000000000000000000000000000000

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