Finite Group Databasebeta

← Group #72343938

Character table — Group #72343938

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67
size11112266668881212121212121212162424242424323232323248484848484848484848484848486464646464649696969696969696969696128128128128
order1222442244222222244444222443466622224444448888661212121244444888888661212
χ11111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ3111111111111-1111111111-1-1-1-1-11-11111111111111-1-1-1-1111111-111-1-1-1-111-1-1-1-1-1-1
χ4111111111111-1111111111-1-1-1-1-11-1111-1-1-1-111-1-1-1-11111111111-1-1-11111-1-111-1-1-1-1
χ51111111111-1-1111111111-1111111-111111-1-1-1-111-1-111-1-1-1-111-1-1-111-1-1-11-1-11111-1-1
χ61111111111-1-1111111111-1111111-1111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1111-111-1-111-1-1
χ71111111111-1-1-111111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-111
χ81111111111-1-1-111111111-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-111111-1-111
χ9222222222222222222222222222-12-1-1-100002200000000-1-1-1-1-1-120000000000-1-1-1-1
χ10222222222222-2222222222-2-2-2-2-2-1-2-1-1-100002200000000-1-1-1-1-1-1-200000000001111
χ112222222222-2-2222222222-222222-1-2-1-1-10000-2-20000000011-1-111-20000000000-1-111
χ122222222222-2-2-222222222-2-2-2-2-2-2-12-1-1-10000-2-20000000011-1-1112000000000011-1-1
χ132222-2-222-2-22202-22-22-22-2-2000002022200002-20000000022-2-2-2-2000000000000000
χ142222-2-222-2-22202-22-22-22-2-200000-10-1-1-100002-200000000-1-1111100000000000−i3i3−i3i3
χ152222-2-222-2-22202-22-22-22-2-200000-10-1-1-100002-200000000-1-1111100000000000i3−i3i3−i3
χ162222-2-222-2-2-2-202-22-22-22-2200000202220000-2200000000-2-2-2-222000000000000000
χ172222-2-222-2-2-2-202-22-22-22-2200000-10-1-1-10000-22000000001111-1-100000000000−i3i3i3−i3
χ182222-2-222-2-2-2-202-22-22-22-2200000-10-1-1-10000-22000000001111-1-100000000000i3−i3−i3i3
χ192-2-222-2-222-2000-222-2-2-22200000020-22-22-200002-2000000002-20002-2000000000000
χ202-2-222-2-222-2000-222-2-2-22200000020-22-2-220000-22000000002-2000-22000000000000
χ212-2-22-22-22-22000-2-222-222-200000020-22-2002-200002-2000000-220000000002-2000000
χ222-2-22-22-22-22000-2-222-222-200000020-22-200-220000-22000000-22000000000-22000000
χ233333333333333-1-1-1-1-1-1-1-133-1-1-1-1030001111-1-111111111000000-1-1-1-1-111-1-1-1-10000
χ243333333333333-1-1-1-1-1-1-1-133-1-1-1-103000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-11111-1-111110000
χ25333333333333-3-1-1-1-1-1-1-1-13-311110-30001111-1-11111-1-1-1-10000001-1-111-1-1-1-1110000
χ26333333333333-3-1-1-1-1-1-1-1-13-311110-3000-1-1-1-1-1-1-1-1-1-11111000000111-1-11111-1-10000
χ273333333333-3-33-1-1-1-1-1-1-1-1-33-1-1-1-10-300011-1-11111-1-111-1-10000001-1-111-1111-1-10000
χ283333333333-3-33-1-1-1-1-1-1-1-1-33-1-1-1-10-3000-1-11111-1-111-1-111000000111-1-11-1-1-1110000
χ293333333333-3-3-3-1-1-1-1-1-1-1-1-3-311110300011-1-11111-1-1-1-111000000-1-1-1-1-11-111110000
χ303333333333-3-3-3-1-1-1-1-1-1-1-1-3-3111103000-1-11111-1-11111-1-1000000-11111-11-1-1-1-10000
χ314-4-444-4-444-4000-444-4-4-444000000-202-220000000000000000-2200000000000000000
χ324-4-44-44-44-44000-4-444-444-4000000-202-2200000000000000002-200000000000000000
χ33666666-2-2-2-20062-22-2-22-220-222-2-200000220000-2-2002200000000000000-200000000
χ34666666-2-2-2-20062-22-2-22-220-222-2-200000-2-200002200-2-200000000000000200000000
χ35666666-2-2-2-2006-22-222-22-20-2-2-2220000000220000-2-200-2-2000000000002000000000
χ36666666-2-2-2-2006-22-222-22-20-2-2-2220000000-2-2000022002200000000000-2000000000
χ37666666-2-2-2-200-62-22-2-22-2202-2-22200000220000-2-200-2-200000000000000200000000
χ38666666-2-2-2-200-62-22-2-22-2202-2-22200000-2-2000022002200000000000000-200000000
χ39666666-2-2-2-200-6-22-222-22-20222-2-20000000220000-2-2002200000000000-2000000000
χ40666666-2-2-2-200-6-22-222-22-20222-2-20000000-2-200002200-2-2000000000002000000000
χ416666-6-666-6-6660-22-22-22-22-600000000000000-2200000000000000000000000000000
χ426666-6-666-6-6-6-60-22-22-22-226000000000000002-200000000000000000000000000000
χ436-6-666-62-2-22000-2-2222-2-22004-400000002-20000-220000000000000000000002-20000
χ446-6-666-62-2-22000-2-2222-2-22004-40000000-2200002-2000000000000000000000-220000
χ456-6-666-62-2-22000-2-2222-2-2200-4400000002-20000-22000000000000000000000-220000
χ466-6-666-62-2-22000-2-2222-2-2200-440000000-2200002-20000000000000000000002-20000
χ476-6-666-6-666-60002-2-2222-2-2000000000002-200002-20000000000000-22000000000000
χ486-6-666-6-666-60002-2-2222-2-200000000000-220000-2200000000000002-2000000000000
χ496-6-66-662-22-20002-2-22-2-22200004-400000002-20000-2200000000000002-20000000000
χ506-6-66-662-22-20002-2-22-2-22200004-40000000-2200002-20000000000000-220000000000
χ516-6-66-662-22-20002-2-22-2-2220000-4400000002-20000-220000000000000-220000000000
χ526-6-66-662-22-20002-2-22-2-2220000-440000000-2200002-200000000000002-20000000000
χ536-6-66-66-66-6600022-2-22-2-2200000000000002-200002-200000000000000000-22000000
χ546-6-66-66-66-6600022-2-22-2-220000000000000-220000-22000000000000000002-2000000
χ558-88-80000004-400000000000000020-2-22000000000022−2222−222-20000000000000000000
χ568-88-80000004-400000000000000020-2-220000000000−2222−22222-20000000000000000000
χ578-88-8000000-4400000000000000020-2-22000000000022−22−2222-220000000000000000000
χ588-88-8000000-4400000000000000020-2-220000000000−222222−22-220000000000000000000
χ5912121212-12-12-4-4440004444-4-4-4-40000000000000000000000000000000000000000000000
χ6012121212-12-12-4-444000-4-4-4-444440000000000000000000000000000000000000000000000
χ6112-12-121212-124-4-4400044-4-4-444-40000000000000000000000000000000000000000000000
χ6212-12-1212-12124-44-4000-444-444-4-40000000000000000000000000000000000000000000000
χ631616-16-1600000000000000000000000404-4-400000000000000000000000000000000000
χ641616-16-1600000000000000000000000-20-22200000000000000000023−23000000000000000
χ651616-16-1600000000000000000000000-20-222000000000000000000−2323000000000000000
χ6616-1616-160000008-8000000000000000-2022-200000000000000-220000000000000000000
χ6716-1616-16000000-88000000000000000-2022-2000000000000002-20000000000000000000

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