Finite Group Databasebeta

← Group #11713662

Character table — Group #11713662

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224466668888881212161616161616242424242424242424243232323248484848
order12224488224422366688121224242424444444888866662488
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111-11111-1-111-1-1-1-1111-1-1-1-1-11111-1-11-11-1
χ6111111-1-111111-11111-1-111-1-1-1-1-1-11-11111-1-111-1-1-11-11
χ7111111-1-11111-111111-1-111-1-1-1-111-11-1-1-1-111-1-111-11-11
χ8111111-1-11111-111111-1-111-1-1-1-1-1-1-111111-1-1-1-1111-11-1
χ922222222222222-1-1-1-122-1-1-1-1-1-10022000000-1-1-1-10000
χ10222222222222-2-2-1-1-1-122-1-1-1-1-1-100-2-200000011110000
χ11222222-2-222222-2-1-1-1-1-2-2-1-11111002-2000000-1-1110000
χ12222222-2-22222-22-1-1-1-1-2-2-1-1111100-2200000011-1-10000
χ132222-2-200-2-22200222200-2-200002-20000002-200000000
χ142222-2-200-2-22200222200-2-20000-22000000-2200000000
χ152-2-222-22-22-2-22002-2-222-2-2222-2-2000000000000000000
χ162-2-222-22-22-2-2200-111-12-21-1-1-1110000000000−i3i3−i3i30000
χ172-2-222-22-22-2-2200-111-12-21-1-1-1110000000000i3−i3i3−i30000
χ182-2-222-2-222-2-22002-2-22-22-22-2-222000000000000000000
χ192-2-222-2-222-2-2200-111-1-221-111-1-10000000000−i3i3i3−i30000
χ202-2-222-2-222-2-2200-111-1-221-111-1-10000000000i3−i3−i3i30000
χ212-2-22-2200-22-22002-2-22002-2000000002-22-20000000000
χ222-2-22-2200-22-22002-2-22002-200000000-22-220000000000
χ2333333333-1-1-1-1330000-1-100000011-1-1-1-111-1-1000011-1-1
χ2433333333-1-1-1-1330000-1-1000000-1-1-1-111-1-1110000-1-111
χ2533333333-1-1-1-1-3-30000-1-10000001111-1-111-1-10000-1-111
χ2633333333-1-1-1-1-3-30000-1-1000000-1-11111-1-111000011-1-1
χ27333333-3-3-1-1-1-13-300001100000011-1111-1-1-1-100001-1-11
χ28333333-3-3-1-1-1-13-3000011000000-1-1-11-1-111110000-111-1
χ29333333-3-3-1-1-1-1-33000011000000111-111-1-1-1-10000-111-1
χ30333333-3-3-1-1-1-1-33000011000000-1-11-1-1-1111100001-1-11
χ314444-4-400-4-44400-2-2-2-200220000000000000000000000
χ324-4-44-4400-44-4400-222-200-220000000000000000000000
χ336666-6-60022-2-2000000000000002-2000000-2200000000
χ346666-6-60022-2-200000000000000-220000002-200000000
χ356-6-666-66-6-222-2000000-22000000000000000000000000
χ366-6-666-6-66-222-20000002-2000000000000000000000000
χ376-6-66-66002-22-20000000000000000002-2-220000000000
χ386-6-66-66002-22-2000000000000000000-222-20000000000
χ3988-8-8000000000022-2-20000i6−i6i6−i6000000000000000000
χ4088-8-8000000000022-2-20000−i6i6−i6i6000000000000000000
χ4188-8-80000000000-4-44400000000000000000000000000
χ428-88-800000000002-22-20000i6−i6−i6i6000000000000000000
χ438-88-800000000002-22-20000−i6i6i6−i6000000000000000000
χ448-88-80000000000-44-4400000000000000000000000000

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