Finite Group Databasebeta

← Group #11795288

Character table — Group #11795288

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size111122888889999161616161616181836363636363636363636363672727272727272
order122244346662222121212121212444444888888884444444
χ1111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1
χ311111111111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111
χ51111111-1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1
χ61111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111
χ71111111-1111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111
χ81111111-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-1
χ922222222222-2-2-2-2222222-2-2000000000000-2000000
χ102222222-2222-2-2-2-222-2-2-2-2-2-20000000000002000000
χ112222-2-2202222222-2-20000-2-222-2-2000000000000000
χ122222-2-2202222222-2-20000-2-2-2-222000000000000000
χ132222-2-220222-2-2-2-2-2-20000220000000000000002i−2i00
χ142222-2-220222-2-2-2-2-2-2000022000000000000000−2i2i00
χ1522-2-200202-2-2-222-200000000002i−2ii2i2−i2−i222−2−20000000
χ1622-2-200202-2-2-222-200000000002i−2i−i2−i2i2i2−2−2220000000
χ1722-2-200202-2-2-222-20000000000−2i2ii2i2−i2−i2−2−2220000000
χ1822-2-200202-2-2-222-20000000000−2i2i−i2−i2i2i222−2−20000000
χ192-22-22-220-22-222-2-22-200002-200000000000002-20000
χ202-22-22-220-22-222-2-22-200002-20000000000000-220000
χ212-22-22-220-22-2-2-2222-20000-2200002-22-200000000000
χ222-22-22-220-22-2-2-2222-20000-220000-22-2200000000000
χ232-22-2-2220-22-222-2-2-220000-22000000000000000002i−2i
χ242-22-2-2220-22-222-2-2-220000-2200000000000000000−2i2i
χ252-22-2-2220-22-2-2-222-2200002-2000000002i−2i2i−2i0000000
χ262-22-2-2220-22-2-2-222-2200002-200000000−2i2i−2i2i0000000
χ272-2-220020-2-222-22-2000000002-200i2−i2−i2i2i2−i2−i2i20000000
χ282-2-220020-2-222-22-2000000002-200−i2i2i2−i2−i2i2i2−i20000000
χ292-2-220020-2-222-22-200000000-2200i2−i2−i2i2−i2i2i2−i20000000
χ302-2-220020-2-222-22-200000000-2200−i2i2i2−i2i2−i2−i2i20000000
χ3144-4-400404-4-44-4-44000000000000000000000000000
χ324-4-440040-4-44-44-44000000000000000000000000000
χ33888888-18-1-1-10000-1-1-1-1-1-1000000000000000000000
χ34888888-1-8-1-1-10000-1-11111000000000000000000000
χ358888-8-8-10-1-1-100001133-3-3000000000000000000000
χ368888-8-8-10-1-1-1000011-3-333000000000000000000000
χ378-88-88-8-101-110000-113i−3i3i−3i000000000000000000000
χ388-88-88-8-101-110000-11−3i3i−3i3i000000000000000000000
χ398-88-8-88-101-1100001-13i−3i−3i3i000000000000000000000
χ408-88-8-88-101-1100001-1−3i3i3i−3i000000000000000000000
χ411616-16-1600-20-2220000000000000000000000000000000
χ4216-16-161600-2022-20000000000000000000000000000000

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