Finite Group Databasebeta

← Group #5134

Character table — Group #5134

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size1111222222222244444444444444444424242424
order12223446661212121224668888121224242424242424242444
χ1111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11
χ511111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1-11
χ811111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1
χ922222-2-2222-2-2-2-22-2220000-2-2000000000000
χ1022222-2-2222-2-2-2-2-22-2-2000022000000000000
χ112222-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-10000
χ122222-122-1-1-1-1-1-1-122-1-1-2-2-2-2-1-1111111110000
χ132222-122-1-1-1-1-1-1-1-2-21122-2-211-1-1-1-111110000
χ142222-122-1-1-1-1-1-1-1-2-211-2-222111111-1-1-1-10000
χ152222-1-2-2-1-1-111112-2-1-100001133−3−333−3−30000
χ162222-1-2-2-1-1-111112-2-1-1000011−3−333−3−3330000
χ172222-1-2-2-1-1-11111-22110000-1-133−3−3−3−3330000
χ182222-1-2-2-1-1-11111-22110000-1-1−3−33333−3−30000
χ192-22-222-2-2-2222-2-20000002i−2i0000002i−2i2i−2i0000
χ202-22-222-2-2-2222-2-2000000−2i2i000000−2i2i−2i2i0000
χ212-22-22-22-2-22-2-22200002-200002-22-200000000
χ222-22-22-22-2-22-2-2220000-220000-22-2200000000
χ232-22-2-12-211-1-1-11100−i3i3002i−2i−i3i33−3−33−ii−ii0000
χ242-22-2-12-211-1-1-11100−i3i300−2i2i−i3i3−333−3i−ii−i0000
χ252-22-2-12-211-1-1-11100i3−i3002i−2ii3−i3−333−3−ii−ii0000
χ262-22-2-12-211-1-1-11100i3−i300−2i2ii3−i33−3−33i−ii−i0000
χ272-22-2-1-2211-111-1-100−i3i32-200i3−i3-11-11−i3i3i3−i30000
χ282-22-2-1-2211-111-1-100−i3i3-2200i3−i31-11-1i3−i3−i3i30000
χ292-22-2-1-2211-111-1-100i3−i32-200−i3i3-11-11i3−i3−i3i30000
χ302-22-2-1-2211-111-1-100i3−i3-2200−i3i31-11-1−i3i3i3−i30000
χ3144-4-44004-4-400000000000000000000000000
χ3244-4-4-200-22223−2323−230000000000000000000000
χ3344-4-4-200-222−2323−23230000000000000000000000
χ344-4-44400-44-400000000000000000000000000
χ354-4-44-2002-2223−23−23230000000000000000000000
χ364-4-44-2002-22−232323−230000000000000000000000

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