Finite Group Databasebeta

← Group #80439

Character table — Group #80439

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order1222344446664888812121212224444244466121212242424244888812124444
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111111-1-1111111-1-1-1-11-1-1-1-1-1-111-1-1
χ61111111111111-1-1-1-11111111111-111-1-1-11-1-1-1-1-1-11-1-1-1-111-1-111
χ71111111111111-1-1-1-11111-1-1-1-1-1-11-1-1111111-1-1-1-1-11111-1-1-1-111
χ81111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-111111111-1-1
χ9111111-1-11111-111-1-1-1-11111-1-11111-1-111-1-1-111-1-1-111-1-11-11-11-1
χ10111111-1-11111-111-1-1-1-11111-1-111-1-111-1-1-11111-1-1-111-1-1-11-11-11
χ11111111-1-11111-111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-11-1-1111-1-11-11
χ12111111-1-11111-111-1-1-1-111-1-111-1-1-1-111-1-1-11111-1-11-1-111-111-11-1
χ13111111-1-11111-1-1-111-1-11111-1-1111-11-111-1-1-1-1-111-1-1-111-111-1-11
χ14111111-1-11111-1-1-111-1-11111-1-111-11-11-1-1-111-1-111-1-1-1111-1-111-1
χ15111111-1-11111-1-1-111-1-111-1-111-1-11-11-111-1-1-1-1-111111-1-1-11-111-1
χ16111111-1-11111-1-1-111-1-111-1-111-1-1-11-11-1-1-111-1-111111-1-11-11-1-11
χ1722222-222-2222-2000022-2-222-2-2-2-2000000-200000020000000000
χ1822222-222-2222-2000022-2-2-2-22222000000-2000000-20000000000
χ1922222-2-2-2-222220000-2-2-2-22222-2-20000002000000-20000000000
χ2022222-2-2-2-222220000-2-2-2-2-2-2-2-222000000200000020000000000
χ212222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-2-211-111-1-1-1-100000110000
χ232222-12222-1-1-12-2-2-2-2-1-1-1-10000002-2-22-1-1-1-1-1111100000110000
χ242222-12222-1-1-12-2-2-2-2-1-1-1-1000000-222-211-111111100000-1-10000
χ252222-12-2-22-1-1-1-222-2-211-1-100000022-2-2-1-1111-1-11100000-110000
χ262222-12-2-22-1-1-1-222-2-211-1-1000000-2-222111-1-1-1-111000001-10000
χ272222-12-2-22-1-1-1-2-2-22211-1-10000002-22-2-1-111111-1-1000001-10000
χ282222-12-2-22-1-1-1-2-2-22211-1-1000000-22-22111-1-111-1-100000-110000
χ292-2-22202-20-22-20−i2i2−i2i22-200002i−2i2i−2i000000000−i2i2−i2i202−22−2000000
χ302-2-22202-20-22-20−i2i2−i2i22-20000−2i2i−2i2i000000000−i2i2−i2i20−22−22000000
χ312-2-22202-20-22-20i2−i2i2−i22-200002i−2i2i−2i000000000i2−i2i2−i20−22−22000000
χ322-2-22202-20-22-20i2−i2i2−i22-20000−2i2i−2i2i000000000i2−i2i2−i202−22−2000000
χ332-2-2220-220-22-20−i2i2i2−i2-2200002i−2i−2i2i000000000−i2i2i2−i20−222−2000000
χ342-2-2220-220-22-20−i2i2i2−i2-220000−2i2i2i−2i000000000−i2i2i2−i202−2−22000000
χ352-2-2220-220-22-20i2−i2−i2i2-2200002i−2i−2i2i000000000i2−i2−i2i202−2−22000000
χ362-2-2220-220-22-20i2−i2−i2i2-220000−2i2i2i−2i000000000i2−i2−i2i20−222−2000000
χ374444-2-444-4-2-2-2-40000-2-222000000000000200000000000000000
χ384444-2-4-4-4-4-2-2-2400002222000000000000-200000000000000000
χ3944-4-4400004-4-40000000004-40000000000000000000000000000
χ4044-4-4400004-4-4000000000-440000000000000000000000000000
χ414-44-44400-4-4-4400000004-4000000000000000000000000000000
χ424-44-44-4004-4-440000000-44000000000000000000000000000000
χ434-44-4-2400-422-20000000-22000000000000023−23000000000000000
χ444-44-4-2400-422-20000000-220000000000000−2323000000000000000
χ454-44-4-2-400422-200000002-20000000000−2i32i3000000000000000000
χ464-44-4-2-400422-200000002-200000000002i3−2i3000000000000000000
χ474-4-44-204-402-220−2i22i2−2i22i2-2200000000000000000i2−i2i2−i200000000000
χ484-4-44-204-402-2202i2−2i22i2−2i2-2200000000000000000−i2i2−i2i200000000000
χ494-4-44-20-4402-220−2i22i22i2−2i22-200000000000000000i2−i2−i2i200000000000
χ504-4-44-20-4402-2202i2−2i2−2i22i22-200000000000000000−i2i2i2−i200000000000
χ5188-8-8-40000-444000000000000000000000000000000000000000

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