Finite Group Databasebeta

← Group #10780327

Character table — Group #10780327

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222224444444444444448888888888888812121212121216161616161616162424242424323248484848
order12223444466648888881212121224242424246681212122424242424242444884488242424244488812122488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11-11-111-1-1-1-1-111-111-11-1
χ611111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-11-11-1-111-1-1-1111-1-11-11
χ711111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-11-111-1-1111-1-1-11-11-11
χ811111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-11-11-1-111111-1-11-11-11-1
χ91111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1
χ101111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1111111-1-1111111-1-11-1-1-1-1-1-111
χ111111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-111
χ121111111111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1-1
χ131111111111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-11111-1-11-1-11-1-11111-1-1-1-111-1-11
χ141111111111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-11111-1-1-111-111-1-111-1-1-11-1-111-1
χ151111111111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1111-11-111-1
χ161111111111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-11111-11-1-11
χ17222222-2-22222-2000000-222-200002-2220-2-2-20000002-2-2200000000002-2000000000
χ18222222-2-22222-2000000-222-200002-2220-2-2-2000000-222-20000000000-22000000000
χ19222222-2-22222-2000000-222-20000-22-2-20-2220000002-2-220000000000-22000000000
χ20222222-2-22222-2000000-222-20000-22-2-20-222000000-222-200000000002-2000000000
χ2122222-222-2222-20000222-2-2222220000-2-200-2-2000022-2-2-2-20000000000200000000
χ2222222-222-2222-20000222-2-2222220000-2-200-2-20000-2-222220000000000-200000000
χ2322222-222-2222-20000-2-22-2-22-2-2-2-200002-20022000022-2-2220000000000-200000000
χ2422222-222-2222-20000-2-22-2-22-2-2-2-200002-200220000-2-222-2-20000000000200000000
χ2522222-2-2-2-222222i2i−2i−2i00-2-2-2-2000000000200002i2i−2i−2i2-22-200000000000002i−2i000000
χ2622222-2-2-2-222222i2i−2i−2i00-2-2-2-2000000000200002i2i−2i−2i-22-220000000000000−2i2i000000
χ2722222-2-2-2-22222−2i−2i2i2i00-2-2-2-200000000020000−2i−2i2i2i2-22-20000000000000−2i2i000000
χ2822222-2-2-2-22222−2i−2i2i2i00-2-2-2-200000000020000−2i−2i2i2i-22-2200000000000002i−2i000000
χ292222-12222-1-1-12222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-10000002222-1-1-1-100000-1-10000
χ302222-12222-1-1-12222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-1000000-2-2-2-2111100000110000
χ312222-12222-1-1-122222-2-2-1-1-1-11111-2-211-2-11111-1-1-1-10000002-22-2-1-111000001-10000
χ322222-12222-1-1-122222-2-2-1-1-1-11111-2-211-2-11111-1-1-1-1000000-22-2211-1-100000-110000
χ332222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-2-2112-111-1-1111100000022-2-2111100000-1-10000
χ342222-12222-1-1-12-2-2-2-222-1-1-1-1-1-1-1-1-2-2112-111-1-11111000000-2-222-1-1-1-100000110000
χ352222-12222-1-1-12-2-2-2-2-2-2-1-1-1-1111122-1-1-2-1-1-11111110000002-2-2211-1-1000001-10000
χ362222-12222-1-1-12-2-2-2-2-2-2-1-1-1-1111122-1-1-2-1-1-1111111000000-222-2-1-11100000-110000
χ374444-24-4-44-2-2-2-40000002-2-2200004-4-2-202220000000000000000000000000000000
χ384444-24-4-44-2-2-2-40000002-2-220000-442202-2-20000000000000000000000000000000
χ394444-2-444-4-2-2-2-4000044-222-2-2-2-2-20000-42002200000000000000000000000000000
χ404444-2-444-4-2-2-2-40000-4-4-222-2222200004200-2-200000000000000000000000000000
χ414444-2-4-4-4-4-2-2-244i4i−4i−4i002222000000000-20000−2i−2i2i2i0000000000000000000000000
χ424444-2-4-4-4-4-2-2-24−4i−4i4i4i002222000000000-200002i2i−2i−2i0000000000000000000000000
χ4344-4-4404-40-4-440000000-400400000000000000000000004i−4i0000000000000000000
χ4444-4-4404-40-4-440000000-40040000000000000000000000−4i4i0000000000000000000
χ4544-4-440-440-4-44000004i−4i400-44i4i−4i−4i000000000000000000000000000000000000000
χ4644-4-440-440-4-4400000−4i4i400-4−4i−4i4i4i000000000000000000000000000000000000000
χ4744-4-4-20-44022-2000004i−4i-2002−2i−2i2i2i0000000000000000000000006−6i6−i600000000000
χ4844-4-4-20-44022-2000004i−4i-2002−2i−2i2i2i000000000000000000000000−66−i6i600000000000
χ4944-4-4-20-44022-200000−4i4i-20022i2i−2i−2i0000000000000000000000006−6−i6i600000000000
χ5044-4-4-20-44022-200000−4i4i-20022i2i−2i−2i000000000000000000000000−66i6−i600000000000
χ514-4-444400-4-44-40−2i22i2−2i22i20004-4000000000000000−2i22i2−2i22i20000000000000000000000000
χ524-4-444400-4-44-402i2−2i22i2−2i20004-40000000000000002i2−2i22i2−2i20000000000000000000000000
χ534-4-444-4004-44-4022−22−2222000-4400000000000000022−22−22220000000000000000000000000
χ544-4-444-4004-44-40−222222−22000-44000000000000000−222222−220000000000000000000000000
χ554-4-44-2400-42-220−2i22i2−2i22i2000-2206−66−600−2i32i300006−6i2−i2i2−i20000000000000000000000000
χ564-4-44-2400-42-220−2i22i2−2i22i2000-220−66−66002i3−2i30000−66i2−i2i2−i20000000000000000000000000
χ574-4-44-2400-42-2202i2−2i22i2−2i2000-2206−66−6002i3−2i300006−6−i2i2−i2i20000000000000000000000000
χ584-4-44-2400-42-2202i2−2i22i2−2i2000-220−66−6600−2i32i30000−66−i2i2−i2i20000000000000000000000000
χ594-4-44-2-40042-22022−22−22220002-206−66−600000023−23−66−222−20000000000000000000000000
χ604-4-44-2-40042-22022−22−22220002-20−66−66000000−23236−6−222−20000000000000000000000000
χ614-4-44-2-40042-220−222222−220002-206−66−6000000−2323−662−2−220000000000000000000000000
χ624-4-44-2-40042-220−222222−220002-20−66−6600000023−236−62−2−220000000000000000000000000
χ6388-8-8-408-8044-40000000400-40000000000000000000000000000000000000000000
χ648-88-8800008-8-8000000000000000000000000000000000000000000000000000000
χ658-88-8-40000-444000000000002i6−2i6−2i62i6000000000000000000000000000000000000000
χ668-88-8-40000-44400000000000−2i62i62i6−2i6000000000000000000000000000000000000000

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