Finite Group Databasebeta

← Group #85403

Character table — Group #85403

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222266666688881212121212121212121212161616161616242424
order1222444444448888366622444888888121212121212444
χ11111111111111111111111111111111111111111
χ2111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1
χ3111111-1-1-1-111111111111-1-111-1-111-1-1-1-111-1-1-11-1
χ4111111-1-1-1-111-1-1-1-111111-1-1-1-111-1-111-1-111-1-11-11
χ51111-1-111-1-11111111111-11-111-1-1-1-111-1-1-1-111-1-11
χ61111-1-111-1-111-1-1-1-11111-11-1-1-11111-1-1-1-1-1-11111-1
χ71111-1-1-1-1111111111111-1-111111-1-1-1-111-1-1-1-11-1-1
χ81111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-1111111-1-1-1-1-111
χ92222222222220000-1-1-1-122200000000-1-1-1-1-1-1000
χ10222222-2-2-2-2220000-1-1-1-12-2-20000000011-1-111000
χ112222-2-222-2-2220000-1-1-1-1-22-2000000001111-1-1000
χ122222-2-2-2-222220000-1-1-1-1-2-2200000000-1-11111000
χ132-22-20000002-22i2i−2i−2i2-2-220002i−2i000000000000000
χ142-22-20000002-2−2i−2i2i2i2-2-22000−2i2i000000000000000
χ152-2-222i−2i2i−2i2-2002−22−2-11-11000002−2i2−i2i2−i21-1i−ii−i000
χ162-2-222i−2i2i−2i2-200−22−22-11-1100000−22−i2i2−i2i21-1i−ii−i000
χ172-2-222i−2i−2i2i-22002−22−2-11-1100000−22i2−i2−i2i2-11i−i−ii000
χ182-2-222i−2i−2i2i-2200−22−22-11-11000002−2−i2i2i2−i2-11i−i−ii000
χ192-2-22−2i2i2i−2i-22002−22−2-11-1100000−22−i2i2i2−i2-11−iii−i000
χ202-2-22−2i2i2i−2i-2200−22−22-11-11000002−2i2−i2−i2i2-11−iii−i000
χ212-2-22−2i2i−2i2i2-2002−22−2-11-11000002−2−i2i2−i2i21-1−ii−ii000
χ222-2-22−2i2i−2i2i2-200−22−22-11-1100000−22i2−i2i2−i21-1−ii−ii000
χ233333333333-1-111110000-1-1-1-1-1111111000000-1-1-1
χ243333333333-1-1-1-1-1-10000-1-1-111-1-1-1-1-1-1000000111
χ25333333-3-3-3-3-1-111110000-111-1-1-1-111-1-10000001-11
χ26333333-3-3-3-3-1-1-1-1-1-10000-1111111-1-111000000-11-1
χ273333-3-333-3-3-1-1111100001-11-1-1-1-1-1-11100000011-1
χ283333-3-333-3-3-1-1-1-1-1-100001-11111111-1-1000000-1-11
χ293333-3-3-3-333-1-11111000011-1-1-111-1-1-1-1000000-111
χ303333-3-3-3-333-1-1-1-1-1-1000011-111-1-111110000001-1-1
χ3144-4-4000000002i2−2i2−2i22i2-2-22200000000000000000000
χ3244-4-400000000−2i22i22i2−2i2-2-22200000000000000000000
χ334-44-40000004-40000-222-200000000000000000000
χ344-4-444i−4i4i−4i4-40000001-11-100000000000-11−ii−ii000
χ354-4-444i−4i−4i4i-440000001-11-1000000000001-1−iii−i000
χ364-4-44−4i4i4i−4i-440000001-11-1000000000001-1i−i−ii000
χ374-4-44−4i4i−4i4i4-40000001-11-100000000000-11i−ii−i000
χ386-66-6000000-222i2i−2i−2i0000000−2i2i000000000000000
χ396-66-6000000-22−2i−2i2i2i00000002i−2i000000000000000
χ4088-8-800000000000022-2-200000000000000000000

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