Finite Group Databasebeta

← Group #10949313

Character table — Group #10949313

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122222444444444888888888812121616161616161616161616161616161624242424242424242424244848
order1222236222244666244466661212444468812121212121212242424242224444444444
χ1111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11-1-1111-1-1111-1-1
χ311111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-111
χ51111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-11-1-111
χ61111111111111111-1-1-1-111111111-1-1-111-1-1-1-1-1-1-11111-11111-1111-1-1-1-1
χ71111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1111-111-1-1
χ81111111111111111-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-11-1-1-11111
χ911-1-1111-1-111-11-1-111-11-11-1-11-11111-111-1-11-111-1-111-1-1-11-11-111-1-11-11-1
χ1011-1-1111-1-111-11-1-111-11-11-1-11-1111-111-11-11-1-1-111-1-111-1-111-11-11-11-1-11
χ1111-1-1111-1-111-11-1-111-11-11-1-11-11-1-11-111-1-11-111-1-111-1-11-11-11-1-111-11-11
χ1211-1-1111-1-111-11-1-111-11-11-1-11-11-1-1-111-11-11-1-1-111-1-11111-1-11-11-11-111-1
χ1311-1-1111-1-111-11-1-11-11-111-1-11-11111-1-1-111-1111-1-1-1-1111-111-1-1-11-1-111-1
χ1411-1-1111-1-111-11-1-11-11-111-1-11-1111-11-11-11-11-1-11111-1-111-11-1-11-1-1-11-11
χ1511-1-1111-1-111-11-1-11-11-111-1-11-11-1-11-1-1-111-1111-1-1-1-111-11-1-1111-111-1-11
χ1611-1-1111-1-111-11-1-11-11-111-1-11-11-1-1-11-11-11-11-1-11111-1-1-1-11-111-1111-11-1
χ1722222222-22-2-2-22220000-22-22-2-2000000000000000000200002000-2-200
χ1822222222-22-2-2-22220000-22-22-2-2000000000000000000-20000-20002200
χ192222222-22-22-2-222222-2-22-22-2-2-200002002-2-2000000000000000000000
χ202222222-22-22-2-2222-2-2222-22-2-2-20000-200-222000000000000000000000
χ212222222-2-2-2-2222220000-2-2-2-222220000000000000000000-2-200020000
χ222222222-2-2-2-2222220000-2-2-2-222-2-2000000000000000000022000-20000
χ2322222-1-1222222-1-1-12222-1-1-1-1-1-10022-122-1-1-1-1-1-1-1-1-1-1-10000000000000
χ2422222-1-1222222-1-1-12222-1-1-1-1-1-100-2-2-1-2-2-1-1-1111111110000000000000
χ2522222-1-1222222-1-1-1-2-2-2-2-1-1-1-1-1-100221-2-2111-1-1-1-111110000000000000
χ2622222-1-1222222-1-1-1-2-2-2-2-1-1-1-1-1-100-2-21221111111-1-1-1-10000000000000
χ2722222-1-1-22-22-2-2-1-1-122-2-2-11-11110000-100-1113−33−33−33−30000000000000
χ2822222-1-1-22-22-2-2-1-1-122-2-2-11-11110000-100-111−33−33−33−330000000000000
χ2922222-1-1-22-22-2-2-1-1-1-2-222-11-111100001001-1-13−33−3−33−330000000000000
χ3022222-1-1-22-22-2-2-1-1-1-2-222-11-111100001001-1-1−33−333−33−30000000000000
χ3122-2-222222-2-2-22-2-220000-222-2-22220000000000000000000-22000-20000
χ3222-2-222222-2-2-22-2-220000-222-2-22-2-200000000000000000002-200020000
χ3322-2-22222-2-222-2-2-222-2-2222-2-22-20000200-2-22000000000000000000000
χ3422-2-22222-2-222-2-2-22-222-222-2-22-20000-20022-2000000000000000000000
χ3522-2-2222-222-22-2-2-220000-2-2222-200000000000000000020000-20002-200
χ3622-2-2222-222-22-2-2-220000-2-2222-2000000000000000000-200002000-2200
χ3722-2-22-1-12-2-222-211-12-2-22-1-111-110000-10011-13−3−333−3−330000000000000
χ3822-2-22-1-12-2-222-211-12-2-22-1-111-110000-10011-1−333−3−333−30000000000000
χ3922-2-22-1-12-2-222-211-1-222-2-1-111-110000100-1-113−3−33−333−30000000000000
χ4022-2-22-1-12-2-222-211-1-222-2-1-111-110000100-1-11−333−33−3−330000000000000
χ4122-2-22-1-1-2-222-2211-12-22-2-111-11-1002-2-12-21-11-1-111-1-1110000000000000
χ4222-2-22-1-1-2-222-2211-12-22-2-111-11-100-22-1-221-1111-1-111-1-10000000000000
χ4322-2-22-1-1-2-222-2211-1-22-22-111-11-1002-21-22-11-1-1-11111-1-10000000000000
χ4422-2-22-1-1-2-222-2211-1-22-22-111-11-100-2212-2-11-111-1-1-1-1110000000000000
χ4544444-2-24-44-4-4-4-2-2-200002-22-2220000000000000000000000000000000
χ4644444-2-2-4-4-4-444-2-2-200002222-2-20000000000000000000000000000000
χ47444-4-4440000004-4-40000000000000000000000000000022000-2-200000
χ48444-4-4440000004-4-400000000000000000000000000000-2-20002200000
χ4944-44-444000000-44-4000000000000000000000000000002-2000-2200000
χ5044-44-444000000-44-400000000000000000000000000000-220002-200000
χ5144-4-44-2-244-4-4-4422-200002-2-222-20000000000000000000000000000000
χ5244-4-44-2-2-444-44-422-2000022-2-2-220000000000000000000000000000000
χ53888-8-8-4-4000000-44400000000000000000000000000000000000000000
χ5488-88-8-4-40000004-4400000000000000000000000000000000000000000
χ558-80008-800000000000000000004i−4i00000000000000000000000000000
χ568-80008-80000000000000000000−4i4i00000000000000000000000000000
χ5716-16000-8800000000000000000000000000000000000000000000000000

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