Finite Group Databasebeta

← Group #11713151

Character table — Group #11713151

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111333366666666882424242424242424242424242424242424243232323232323232
order124422442222444424224444444444444444366612121212
χ111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ31111111111111111-1-11-11-1-1-111-1-11111-1-1-1-11-1-1111-1-1
χ41111111111111111-1-1-11-11-1-1-1-111-1-1-1-111111-1-1111-1-1
χ511-1-111-1-11111-1-1-1-11-11-1-111-11-11-111-1-111-1-11111-1-1-1-1
χ611-1-111-1-11111-1-1-1-11-1-111-11-1-11-11-1-111-1-1111111-1-1-1-1
χ711-1-111-1-11111-1-1-1-1-1111-1-1-111-1-1111-1-1-1-1111-1-11-1-111
χ811-1-111-1-11111-1-1-1-1-11-1-111-11-111-1-1-11111-1-11-1-11-1-111
χ9222222222222222222000022000000000000-1-1-1-1-1-1-1-1
χ102222222222222222-2-20000-2-2000000000000-111-1-1-111
χ1122-2-222-2-22222-2-2-2-22-200002-2000000000000-1-1-1-11111
χ1222-2-222-2-22222-2-2-2-2-220000-22000000000000-111-111-1-1
χ132-22i−2i2-22i−2i22-2-22i2i−2i−2i00000000000000000000200-22i−2i00
χ142-22i−2i2-22i−2i22-2-22i2i−2i−2i00000000000000000000-1−i3i31−ii3−3
χ152-22i−2i2-22i−2i22-2-22i2i−2i−2i00000000000000000000-1i3−i31−ii−33
χ162-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i00000000000000000000200-2−2i2i00
χ172-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i00000000000000000000-1−i3i31i−i−33
χ182-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i00000000000000000000-1i3−i31i−i3−3
χ1933333333-1-1-1-1-1-1-1-1331111-1-11111-1-1-1-1-1-1-1-100000000
χ2033333333-1-1-1-1-1-1-1-133-1-1-1-1-1-1-1-1-1-11111111100000000
χ2133333333-1-1-1-1-1-1-1-1-3-31-11-11111-1-1-1-1-1-1111100000000
χ2233333333-1-1-1-1-1-1-1-1-3-3-11-1111-1-1111111-1-1-1-100000000
χ2333-3-333-3-3-1-1-1-111113-31-1-11-111-11-1-1-111-1-11100000000
χ2433-3-333-3-3-1-1-1-111113-3-111-1-11-11-1111-1-111-1-100000000
χ2533-3-333-3-3-1-1-1-11111-3311-1-11-11-1-11-1-11111-1-100000000
χ2633-3-333-3-3-1-1-1-11111-33-1-1111-1-111-111-1-1-1-11100000000
χ276666-2-2-2-22-22-22-22-20002020000-2-20000000000000000
χ286666-2-2-2-22-22-22-22-2000-20-20000220000000000000000
χ296666-2-2-2-2-22-22-22-2200202000-2-2000000000000000000
χ306666-2-2-2-2-22-22-22-2200-20-200022000000000000000000
χ3166-6-6-2-2222-22-2-22-2200020-200002-20000000000000000
χ3266-6-6-2-2222-22-2-22-22000-2020000-220000000000000000
χ3366-6-6-2-222-22-222-22-20020-2000-22000000000000000000
χ3466-6-6-2-222-22-222-22-200-2020002-2000000000000000000
χ356-66i−6i6-66i−6i-2-222−2i−2i2i2i0000000000000000000000000000
χ366-66i−6i-22−2i2i2-2-222i−2i−2i2i00000000000000002i−2i2-200000000
χ376-66i−6i-22−2i2i2-2-222i−2i−2i2i0000000000000000−2i2i-2200000000
χ386-66i−6i-22−2i2i-222-2−2i2i2i−2i0000000000002-22i−2i000000000000
χ396-66i−6i-22−2i2i-222-2−2i2i2i−2i000000000000-22−2i2i000000000000
χ406-6−6i6i6-6−6i6i-2-2222i2i−2i−2i0000000000000000000000000000
χ416-6−6i6i-222i−2i2-2-22−2i2i2i−2i00000000000000002i−2i-2200000000
χ426-6−6i6i-222i−2i2-2-22−2i2i2i−2i0000000000000000−2i2i2-200000000
χ436-6−6i6i-222i−2i-222-22i−2i−2i2i0000000000002-2−2i2i000000000000
χ446-6−6i6i-222i−2i-222-22i−2i−2i2i000000000000-222i−2i000000000000

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