Finite Group Databasebeta

← Group #11713655

Character table — Group #11713655

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222226666888888121212121212121212121616161616162424242424243232323248484848
order1222448888224423466644448888881212242424242444886612122488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111-1-1-1-11111111-1-11-1-11111-1-1-1-1
χ311111111111111-11-11111111111111111111-111-111-1-1-1-1-1-1-1-1
χ411111111111111-11-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111-11111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-111-1
χ6111111-1-1-1-1111111-1111-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-11-1-11
χ7111111-1-1-1-11111-1111111111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1111-1-11
χ8111111-1-1-1-11111-111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-111-111-1
χ9222222222222222-12-1-1-10000220000-1-1-1-1-1-1200200-1-1-1-10000
χ1022222222222222-2-1-2-1-1-10000220000-1-1-1-1-1-1-200-20011110000
χ11222222-2-2-2-222222-1-2-1-1-10000-2-20000-1-11111-200200-1-1110000
χ12222222-2-2-2-22222-2-12-1-1-10000-2-20000-1-11111200-20011-1-10000
χ132222-2-20000-2-22202022200000022-2-2-2-2000002-200000000000
χ142222-2-20000-2-222020222000000-2-222-2-200000-2200000000000
χ152-2-222-222-2-22-2-22020-2-2200002-20000-2222-2-200000000000000
χ162-2-222-222-2-22-2-220-1011-100002-200001-1-1-111000000−i3i3−i3i30000
χ172-2-222-222-2-22-2-220-1011-100002-200001-1-1-111000000i3−i3i3−i30000
χ182-2-222-2-2-2222-2-22020-2-220000-220000-22-2-22200000000000000
χ192-2-222-2-2-2222-2-220-1011-10000-2200001-111-1-1000000−i3i3i3−i30000
χ202-2-222-2-2-2222-2-220-1011-10000-2200001-111-1-1000000i3−i3−i3i30000
χ212-2-22-220000-22-22020-2-2222-2-20000002-2000000002-200000000
χ222-2-22-220000-22-22020-2-22-2-2220000002-200000000-2200000000
χ233333333333-1-1-1-13030001111-1-11111000000-1-1-1-1-1-10000-1-111
χ243333333333-1-1-1-1303000-1-1-1-1-1-1-1-1-1-1000000-111-111000011-1-1
χ253333333333-1-1-1-1-30-30001111-1-111110000001-1-11-1-1000011-1-1
χ263333333333-1-1-1-1-30-3000-1-1-1-1-1-1-1-1-1-10000001111110000-1-111
χ27333333-3-3-3-3-1-1-1-130-3000111111-1-1-1-1000000111-1-1-100001-11-1
χ28333333-3-3-3-3-1-1-1-130-3000-1-1-1-11111110000001-1-1-1110000-11-11
χ29333333-3-3-3-3-1-1-1-1-303000111111-1-1-1-1000000-1111-1-10000-11-11
χ30333333-3-3-3-3-1-1-1-1-303000-1-1-1-1111111000000-1-1-111100001-11-1
χ314444-4-40000-4-4440-20-2-2-2000000000022000000000000000000
χ3244-4-400−2i22i2−2i22i200000-202-222-22-20000−2i22i200−i2i2−i2i200000000000000
χ3344-4-400−2i22i2−2i22i200000-202-22-22-2200002i2−2i200−i2i2−i2i200000000000000
χ3444-4-4002i2−2i22i2−2i200000-202-222-22-200002i2−2i200i2−i2i2−i200000000000000
χ3544-4-4002i2−2i22i2−2i200000-202-22-22-220000−2i22i200i2−i2i2−i200000000000000
χ364-44-400−2i22i22i2−2i200000-20-2222-2-2200−2i22i20000−i2i2i2−i200000000000000
χ374-44-400−2i22i22i2−2i200000-20-222-222-2002i2−2i20000−i2i2i2−i200000000000000
χ384-44-4002i2−2i2−2i22i200000-20-2222-2-22002i2−2i20000i2−i2−i2i200000000000000
χ394-44-4002i2−2i2−2i22i200000-20-222-222-200−2i22i20000i2−i2−i2i200000000000000
χ404-4-44-440000-44-440-2022-20000000000-22000000000000000000
χ416666-6-6000022-2-200000000000022-2-20000000-2200000000000
χ426666-6-6000022-2-2000000000000-2-22200000002-200000000000
χ436-6-666-666-6-6-222-20000000000-22000000000000000000000000
χ446-6-666-6-6-666-222-200000000002-2000000000000000000000000
χ456-6-66-6600002-22-200000022-2-20000000000000000-2200000000
χ466-6-66-6600002-22-2000000-2-22200000000000000002-200000000
χ4788-8-800−4i24i2−4i24i20000020-22-2000000000000i2−i2i2−i200000000000000
χ4888-8-8004i2−4i24i2−4i20000020-22-2000000000000−i2i2−i2i200000000000000
χ498-88-800−4i24i24i2−4i200000202-2-2000000000000i2−i2−i2i200000000000000
χ508-88-8004i2−4i2−4i24i200000202-2-2000000000000−i2i2i2−i200000000000000

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