Finite Group Databasebeta

← Group #5217

Character table — Group #5217

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size111122222222222244444444444444444121212122424
order1222223446666666222246666666612121212888824
χ1111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ41111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111-1-111111-1-1-1-1111-1-1-11111-1-1-1-111-1-111-1-11-1
χ61111-1-111111-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1-111-11
χ71111-1-111111-1-1-1-11-1-111-1-1-1-1-1111111-1-111-1-1-11
χ81111-1-111111-1-1-1-11-1-111-1-1-1-1-1111111-1-1-1-1111-1
χ92222222-2-222222220000-200000000-2-2-2-2000000
χ10222222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ11222222-122-1-1-1-1-1-1-1-2-2-2-2211111111-1-1-1-1000000
χ12222222-1-2-2-1-1-1-1-1-1-10000-2−i3−i3i3i3−i3−i3i3i31111000000
χ13222222-1-2-2-1-1-1-1-1-1-10000-2i3i3−i3−i3i3i3−i3−i31111000000
χ142222-2-22-2-222-2-2-2-220000200000000-2-222000000
χ152222-2-2-122-1-11111-122-2-2-2-1-1-1-11111-1-111000000
χ162222-2-2-122-1-11111-1-2-222-21111-1-1-1-1-1-111000000
χ172222-2-2-1-2-2-1-11111-100002−i3−i3i3i3i3i3−i3−i311-1-1000000
χ182222-2-2-1-2-2-1-11111-100002i3i3−i3−i3−i3−i3i3i311-1-1000000
χ192-22-20022-2-2-200002002-2000002-22-22-200000000
χ202-22-20022-2-2-20000200-2200000-22-222-200000000
χ212-22-2002-22-2-2000022-20002-22-20000-2200000000
χ222-22-2002-22-2-200002-22000-22-220000-2200000000
χ232-22-200-12-211−i3−i3i3i3-1002-20−i3i3i3−i3-11-11-11−i3i3000000
χ242-22-200-12-211−i3−i3i3i3-100-220i3−i3−i3i31-11-1-11−i3i3000000
χ252-22-200-12-211i3i3−i3−i3-1002-20i3−i3−i3i3-11-11-11i3−i3000000
χ262-22-200-12-211i3i3−i3−i3-100-220−i3i3i3−i31-11-1-11i3−i3000000
χ272-22-200-1-2211−i3−i3i3i3-12-2000-11-11−i3i3i3−i31-1i3−i3000000
χ282-22-200-1-2211−i3−i3i3i3-1-220001-11-1i3−i3−i3i31-1i3−i3000000
χ292-22-200-1-2211i3i3−i3−i3-12-2000-11-11i3−i3−i3i31-1−i3i3000000
χ302-22-200-1-2211i3i3−i3−i3-1-220001-11-1−i3i3i3−i31-1−i3i3000000
χ312-2-222-22002-22-22-2-2000000000000000002−22−200
χ322-2-222-22002-22-22-2-200000000000000000−22−2200
χ332-2-22-222002-2-22-22-2000000000000000002−2−2200
χ342-2-22-222002-2-22-22-200000000000000000−222−200
χ3544-4-400400-440000-400000000000000000000000
χ3644-4-400-2002-2−2i32i32i3−2i3200000000000000000000000
χ3744-4-400-2002-22i3−2i3−2i32i3200000000000000000000000
χ384-4-444-4-200-22-22-22200000000000000000000000
χ394-4-44-44-200-222-22-2200000000000000000000000

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