Finite Group Databasebeta

← Group #11713612

Character table — Group #11713612

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1122244666688881212121216161624242424242424242432323232323248484848
order1224488224434684488612122244888881212242424244488
χ111111111111111111111111111111111111111111
χ2111111111111111-1-1111111-1-1-11-1-1-1-1111111-1-1-1-1
χ3111111111111-11-11111111-1111-11111-1-111-1-1-1-1-1-1
χ4111111111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111-1-11111111-111-1-11111-1-11-111-1-111-1-1-1-11-1-11
χ611111-1-11111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1
χ711111-1-111111-11111-1-1111-1-1-11111-1-1-1-1-1-111-111-1
χ811111-1-111111-111-1-1-1-1111-111-11-1-111-1-1-1-1111-1-11
χ922222222222-12-120022-1-1-1200020000-1-1-1-1-1-10000
χ1022222222222-1-2-1-20022-1-1-1-2000-2000011-1-1110000
χ1122222-2-22222-12-1-200-2-2-1-1-12000-20000-1-111110000
χ1222222-2-22222-1-2-1200-2-2-1-1-1-2000200001111-1-10000
χ13222-2-22i−2i-2-2222020002i−2i2-2-2000000000002i−2i000000
χ14222-2-22i−2i-2-222-10-10002i−2i-111000000000−i3i3−ii3−30000
χ15222-2-22i−2i-2-222-10-10002i−2i-111000000000i3−i3−ii−330000
χ16222-2-2−2i2i-2-222202000−2i2i2-2-200000000000−2i2i000000
χ17222-2-2−2i2i-2-222-10-1000−2i2i-111000000000−i3i3i−i−330000
χ18222-2-2−2i2i-2-222-10-1000−2i2i-111000000000i3−i3i−i3−30000
χ1922-22-2002-2-2220202200-22-2000-202-2000000000000
χ2022-22-2002-2-222020-2-200-22-200020-22000000000000
χ2122-2-2200-22-2220200000-2-2202-200002-20000000000
χ2222-2-2200-22-2220200000-2-220-220000-220000000000
χ233333333-1-1-1-1030311-1-1000-1-1-11-1-1-111000000-11-11
χ243333333-1-1-1-10303-1-1-1-1000-111-1-111-1-10000001-11-1
χ253333333-1-1-1-10-30-311-1-10001-1-111-1-1110000001-11-1
χ263333333-1-1-1-10-30-3-1-1-1-1000111-1111-1-1000000-11-11
χ2733333-3-3-1-1-1-1030-31111000-11111-1-1-1-1000000-1-111
χ2833333-3-3-1-1-1-1030-3-1-111000-1-1-1-11111100000011-1-1
χ2933333-3-3-1-1-1-10-30311110001111-1-1-1-1-100000011-1-1
χ3033333-3-3-1-1-1-10-303-1-1110001-1-1-1-11111000000-1-111
χ3144-44-4004-4-44-20-2000002-220000000000000000000
χ3244-4-4400-44-44-20-20000022-20000000000000000000
χ33666-6-66i−6i22-2-2000000−2i2i0000000000000000000000
χ34666-6-6−6i6i22-2-20000002i−2i0000000000000000000000
χ3566-66-600-222-200002200000000-20-22000000000000
χ3666-66-600-222-20000-2-200000000202-2000000000000
χ3766-6-66002-22-20000000000002-20000-220000000000
χ3866-6-66002-22-2000000000000-2200002-20000000000
χ398-8000000000-40404i−4i000000000000000000000000
χ408-8000000000-4040−4i4i000000000000000000000000
χ4116-1600000000040-4000000000000000000000000000

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