Finite Group Databasebeta

← Group #72275078

Character table — Group #72275078

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112446681212121224242424242424242424323232323232323248484848224881212162424242448484848484848484848646464646464646496969696336121218182436363636727272727272727272729696969696969696144144144144
order12222222224422444444443666666644883666666666121266121212121212121236666666121224242222222222442244444444666666664488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ3111-1-111-111111-11-1-1-111-1-11111-1-1-1-111-1-1111-1-111-111111-11-1-1-111-1-11111-1-1-1-111-1-1111-1-111-111111-11-1-1-111-1-11111-1-1-1-111-1-1
χ4111-1-111-11111-11-11-1-1-1-1111111-1-1-1-1-1-111111-1-111-11111-11-11-1-1-1-1111111-1-1-1-1-1-111111-1-111-11111-11-11-1-1-1-1111111-1-1-1-1-1-111
χ511-111-11-1-11-1111-1-11-11-11-111-1-111-1-11-11-111-111-11-1-11-1111-1-11-11-11-111-1-111-1-11-11-111-111-11-1-11-1111-1-11-11-11-111-1-111-1-11-11-1
χ611-111-11-1-11-11-1-1111-1-11-1111-1-111-1-1-11-1111-111-11-1-11-11-1-1111-1-11-1111-1-111-1-1-11-1111-111-11-1-11-11-1-1111-1-11-1111-1-111-1-1-11-11
χ711-1-1-1-111-11-111-1-11-111-1-1111-1-1-1-1111-1-1111-1-1-1-111-11-111-1-11-111-1-1111-1-1-1-1111-1-1111-1-1-1-111-11-111-1-11-111-1-1111-1-1-1-1111-1-11
χ811-1-1-1-111-11-11-111-1-11-111-111-1-1-1-111-111-111-1-1-1-111-11-11-111-1-11-111-111-1-1-1-111-111-111-1-1-1-111-11-11-111-1-11-111-111-1-1-1-111-111-1
χ92222222222220000220000-1-1-1-1-1-1-1-100002222222222220000220000-1-1-1-1-1-1-1-100002222222222220000220000-1-1-1-1-1-1-1-10000
χ10222-2-222-222220000-2-20000-1-1-1-111110000222-2-222-222220000-2-20000-1-1-1-111110000222-2-222-222220000-2-20000-1-1-1-111110000
χ1122-222-22-2-22-2200002-20000-1-111-1-111000022-222-22-2-22-2200002-20000-1-111-1-111000022-222-22-2-22-2200002-20000-1-111-1-1110000
χ1222-2-2-2-222-22-220000-220000-1-11111-1-1000022-2-2-2-222-22-220000-220000-1-11111-1-1000022-2-2-2-222-22-220000-220000-1-11111-1-10000
χ1333333333-1-1-1-11111-1-1111100000000-1-1-1-133333333-1-1-1-11111-1-1111100000000-1-1-1-133333333-1-1-1-11111-1-1111100000000-1-1-1-1
χ1433333333-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111
χ15333-3-333-3-1-1-1-11-11-11111-1-100000000-1-111333-3-333-3-1-1-1-11-11-11111-1-100000000-1-111333-3-333-3-1-1-1-11-11-11111-1-100000000-1-111
χ16333-3-333-3-1-1-1-1-11-1111-1-1110000000011-1-1333-3-333-3-1-1-1-1-11-1111-1-1110000000011-1-1333-3-333-3-1-1-1-1-11-1111-1-1110000000011-1-1
χ1733-333-33-31-11-111-1-1-111-11-100000000-11-1133-333-33-31-11-111-1-1-111-11-100000000-11-1133-333-33-31-11-111-1-1-111-11-100000000-11-11
χ1833-333-33-31-11-1-1-111-11-11-11000000001-11-133-333-33-31-11-1-1-111-11-11-11000000001-11-133-333-33-31-11-1-1-111-11-11-11000000001-11-1
χ1933-3-3-3-3331-11-11-1-111-11-1-1100000000-111-133-3-3-3-3331-11-11-1-111-11-1-1100000000-111-133-3-3-3-3331-11-11-1-111-11-1-1100000000-111-1
χ2033-3-3-3-3331-11-1-111-11-1-111-1000000001-1-1133-3-3-3-3331-11-1-111-11-1-111-1000000001-1-1133-3-3-3-3331-11-1-111-11-1-111-1000000001-1-11
χ2166600-2-2022-2-2202000-2-20000000000000066600-2-2022-2-2202000-2-20000000000000066600-2-2022-2-2202000-2-200000000000000
χ2266600-2-2022-2-2-20-2000220000000000000066600-2-2022-2-2-20-2000220000000000000066600-2-2022-2-2-20-20002200000000000000
χ2366600-2-20-2-22202020000-2-200000000000066600-2-20-2-22202020000-2-200000000000066600-2-20-2-22202020000-2-2000000000000
χ2466600-2-20-2-2220-20-200002200000000000066600-2-20-2-2220-20-200002200000000000066600-2-20-2-2220-20-2000022000000000000
χ2566-6002-202-2-22020-20000-2200000000000066-6002-202-2-22020-20000-2200000000000066-6002-202-2-22020-20000-22000000000000
χ2666-6002-202-2-220-20200002-200000000000066-6002-202-2-220-20200002-200000000000066-6002-202-2-220-20200002-2000000000000
χ2766-6002-20-222-220-2000-220000000000000066-6002-20-222-220-2000-220000000000000066-6002-20-222-220-2000-2200000000000000
χ2866-6002-20-222-2-2020002-20000000000000066-6002-20-222-2-2020002-20000000000000066-6002-20-222-2-2020002-200000000000000
χ298-804-4000000000000000002-2002-20000008-804-4000000000000000002-2002-20000008-804-4000000000000000002-2002-2000000
χ308-804-400000000000000000-11i3−i3-11i3−i300008-804-400000000000000000-11i3−i3-11i3−i300008-804-400000000000000000-11i3−i3-11i3−i30000
χ318-804-400000000000000000-11−i3i3-11−i3i300008-804-400000000000000000-11−i3i3-11−i3i300008-804-400000000000000000-11−i3i3-11−i3i30000
χ328-80-44000000000000000002-200-220000008-80-44000000000000000002-200-220000008-80-44000000000000000002-200-22000000
χ338-80-4400000000000000000-11i3−i31-1−i3i300008-80-4400000000000000000-11i3−i31-1−i3i300008-80-4400000000000000000-11i3−i31-1−i3i30000
χ348-80-4400000000000000000-11−i3i31-1i3−i300008-80-4400000000000000000-11−i3i31-1i3−i300008-80-4400000000000000000-11−i3i31-1i3−i30000
χ3511111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ36111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ37111-1-111-111111-11-1-1-111-1-11111-1-1-1-111-1-1111-1-111-111111-11-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-11-1-1-1-1-11-1111-1-111-1-1-1-11111-1-111
χ38111-1-111-11111-11-11-1-1-1-1111111-1-1-1-1-1-111111-1-111-11111-11-11-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-11-1-1-1-11-11-11111-1-1-1-1-1-1111111-1-1
χ3911-111-11-1-11-1111-1-11-11-11-111-1-111-1-11-11-111-111-11-1-11-1111-1-11-11-11-111-1-111-1-11-11-1-1-11-1-11-111-11-1-1-111-11-11-11-1-111-1-111-11-11
χ4011-111-11-1-11-11-1-1111-1-11-1111-1-111-1-1-11-1111-111-11-1-11-11-1-1111-1-11-1111-1-111-1-1-11-11-1-11-1-11-111-11-111-1-1-111-11-1-1-111-1-1111-11-1
χ4111-1-1-1-111-11-111-1-11-111-1-1111-1-1-1-1111-1-1111-1-1-1-111-11-111-1-11-111-1-1111-1-1-1-1111-1-11-1-11111-1-11-11-1-111-11-1-111-1-1-11111-1-1-111-1
χ4211-1-1-1-111-11-11-111-1-11-111-111-1-1-1-111-111-111-1-1-1-111-11-11-111-1-11-111-111-1-1-1-111-111-1-1-11111-1-11-11-11-1-111-11-1-11-1-11111-1-11-1-11
χ432222222222220000220000-1-1-1-1-1-1-1-100002222222222220000220000-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-20000-2-20000111111110000
χ44222-2-222-222220000-2-20000-1-1-1-111110000222-2-222-222220000-2-20000-1-1-1-111110000-2-2-222-2-22-2-2-2-200002200001111-1-1-1-10000
χ4522-222-22-2-22-2200002-20000-1-111-1-111000022-222-22-2-22-2200002-20000-1-111-1-1110000-2-22-2-22-222-22-20000-22000011-1-111-1-10000
χ4622-2-2-2-222-22-220000-220000-1-11111-1-1000022-2-2-2-222-22-220000-220000-1-11111-1-10000-2-22222-2-22-22-200002-2000011-1-1-1-1110000
χ4733333333-1-1-1-11111-1-1111100000000-1-1-1-133333333-1-1-1-11111-1-1111100000000-1-1-1-1-3-3-3-3-3-3-3-31111-1-1-1-111-1-1-1-1000000001111
χ4833333333-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111133333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111-3-3-3-3-3-3-3-31111111111111100000000-1-1-1-1
χ49333-3-333-3-1-1-1-11-11-11111-1-100000000-1-111333-3-333-3-1-1-1-11-11-11111-1-100000000-1-111-3-3-333-3-331111-11-11-1-1-1-1110000000011-1-1
χ50333-3-333-3-1-1-1-1-11-1111-1-1110000000011-1-1333-3-333-3-1-1-1-1-11-1111-1-1110000000011-1-1-3-3-333-3-3311111-11-1-1-111-1-100000000-1-111
χ5133-333-33-31-11-111-1-1-111-11-100000000-11-1133-333-33-31-11-111-1-1-111-11-100000000-11-11-3-33-3-33-33-11-11-1-1111-1-11-11000000001-11-1
χ5233-333-33-31-11-1-1-111-11-11-11000000001-11-133-333-33-31-11-1-1-111-11-11-11000000001-11-1-3-33-3-33-33-11-1111-1-11-11-11-100000000-11-11
χ5333-3-3-3-3331-11-11-1-111-11-1-1100000000-111-133-3-3-3-3331-11-11-1-111-11-1-1100000000-111-1-3-33333-3-3-11-11-111-1-11-111-1000000001-1-11
χ5433-3-3-3-3331-11-1-111-11-1-111-1000000001-1-1133-3-3-3-3331-11-1-111-11-1-111-1000000001-1-11-3-33333-3-3-11-111-1-11-111-1-1100000000-111-1
χ5566600-2-2022-2-2202000-2-20000000000000066600-2-2022-2-2202000-2-200000000000000-6-6-600220-2-222-20-20002200000000000000
χ5666600-2-2022-2-2-20-2000220000000000000066600-2-2022-2-2-20-20002200000000000000-6-6-600220-2-222202000-2-200000000000000
χ5766600-2-20-2-22202020000-2-200000000000066600-2-20-2-22202020000-2-2000000000000-6-6-60022022-2-20-20-2000022000000000000
χ5866600-2-20-2-2220-20-200002200000000000066600-2-20-2-2220-20-2000022000000000000-6-6-60022022-2-202020000-2-2000000000000
χ5966-6002-202-2-22020-20000-2200000000000066-6002-202-2-22020-20000-22000000000000-6-6600-220-222-20-20200002-2000000000000
χ6066-6002-202-2-220-20200002-200000000000066-6002-202-2-220-20200002-2000000000000-6-6600-220-222-2020-20000-22000000000000
χ6166-6002-20-222-220-2000-220000000000000066-6002-20-222-220-2000-2200000000000000-6-6600-2202-2-22-2020002-200000000000000
χ6266-6002-20-222-2-2020002-20000000000000066-6002-20-222-2-2020002-200000000000000-6-6600-2202-2-2220-2000-2200000000000000
χ638-804-4000000000000000002-2002-20000008-804-4000000000000000002-2002-2000000-880-4400000000000000000-2200-22000000
χ648-804-400000000000000000-11i3−i3-11i3−i300008-804-400000000000000000-11i3−i3-11i3−i30000-880-44000000000000000001-1−i3i31-1−i3i30000
χ658-804-400000000000000000-11−i3i3-11−i3i300008-804-400000000000000000-11−i3i3-11−i3i30000-880-44000000000000000001-1i3−i31-1i3−i30000
χ668-80-44000000000000000002-200-220000008-80-44000000000000000002-200-22000000-8804-400000000000000000-22002-2000000
χ678-80-4400000000000000000-11i3−i31-1−i3i300008-80-4400000000000000000-11i3−i31-1−i3i30000-8804-4000000000000000001-1−i3i3-11i3−i30000
χ688-80-4400000000000000000-11−i3i31-1i3−i300008-80-4400000000000000000-11−i3i31-1i3−i30000-8804-4000000000000000001-1i3−i3-11−i3i30000
χ692222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ70222222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ71222-2-222-222222-22-2-2-222-2-22222-2-2-2-222-2-2-1-1-111-1-11-1-1-1-1-11-1111-1-111-1-1-1-11111-1-1110000000000000000000000000000000000
χ72222-2-222-22222-22-22-2-2-2-2222222-2-2-2-2-2-222-1-1-111-1-11-1-1-1-11-11-11111-1-1-1-1-1-1111111-1-10000000000000000000000000000000000
χ7322-222-22-2-22-2222-2-22-22-22-222-2-222-2-22-22-2-1-11-1-11-111-11-1-1-111-11-11-11-1-111-1-111-11-110000000000000000000000000000000000
χ7422-222-22-2-22-22-2-2222-2-22-2222-2-222-2-2-22-22-1-11-1-11-111-11-111-1-1-111-11-1-1-111-1-1111-11-10000000000000000000000000000000000
χ7522-2-2-2-222-22-222-2-22-222-2-2222-2-2-2-2222-2-22-1-11111-1-11-11-1-111-11-1-111-1-1-11111-1-1-111-10000000000000000000000000000000000
χ7622-2-2-2-222-22-22-222-2-22-222-222-2-2-2-222-222-2-1-11111-1-11-11-11-1-111-11-1-11-1-11111-1-11-1-110000000000000000000000000000000000
χ774444444444440000440000-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2-2-2-2-20000-2-200001111111100000000000000000000000000000000000000
χ78444-4-444-444440000-4-40000-2-2-2-222220000-2-2-222-2-22-2-2-2-200002200001111-1-1-1-100000000000000000000000000000000000000
χ7944-444-44-4-44-4400004-40000-2-222-2-2220000-2-22-2-22-222-22-20000-22000011-1-111-1-100000000000000000000000000000000000000
χ8044-4-4-4-444-44-440000-440000-2-22222-2-20000-2-22222-2-22-22-200002-2000011-1-1-1-11100000000000000000000000000000000000000
χ8166666666-2-2-2-22222-2-2222200000000-2-2-2-2-3-3-3-3-3-3-3-31111-1-1-1-111-1-1-1-10000000011110000000000000000000000000000000000
χ8266666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222-3-3-3-3-3-3-3-31111111111111100000000-1-1-1-10000000000000000000000000000000000
χ83666-6-666-6-2-2-2-22-22-22222-2-200000000-2-222-3-3-333-3-331111-11-11-1-1-1-1110000000011-1-10000000000000000000000000000000000
χ84666-6-666-6-2-2-2-2-22-2222-2-2220000000022-2-2-3-3-333-3-3311111-11-1-1-111-1-100000000-1-1110000000000000000000000000000000000
χ8566-666-66-62-22-222-2-2-222-22-200000000-22-22-3-33-3-33-33-11-11-1-1111-1-11-11000000001-11-10000000000000000000000000000000000
χ8666-666-66-62-22-2-2-222-22-22-22000000002-22-2-3-33-3-33-33-11-1111-1-11-11-11-100000000-11-110000000000000000000000000000000000
χ8766-6-6-6-6662-22-22-2-222-22-2-2200000000-222-2-3-33333-3-3-11-11-111-1-11-111-1000000001-1-110000000000000000000000000000000000
χ8866-6-6-6-6662-22-2-222-22-2-222-2000000002-2-22-3-33333-3-3-11-111-1-11-111-1-1100000000-111-10000000000000000000000000000000000
χ8912121200-4-4044-4-4404000-4-400000000000000-6-6-600220-2-222-20-200022000000000000000000000000000000000000000000000000
χ9012121200-4-4044-4-4-40-40004400000000000000-6-6-600220-2-222202000-2-2000000000000000000000000000000000000000000000000
χ9112121200-4-40-4-44404040000-4-4000000000000-6-6-60022022-2-20-20-20000220000000000000000000000000000000000000000000000
χ9212121200-4-40-4-4440-40-4000044000000000000-6-6-60022022-2-202020000-2-20000000000000000000000000000000000000000000000
χ931212-12004-404-4-44040-40000-44000000000000-6-6600-220-222-20-20200002-20000000000000000000000000000000000000000000000
χ941212-12004-404-4-440-40400004-4000000000000-6-6600-220-222-2020-20000-220000000000000000000000000000000000000000000000
χ951212-12004-40-444-440-4000-4400000000000000-6-6600-2202-2-22-2020002-2000000000000000000000000000000000000000000000000
χ961212-12004-40-444-4-4040004-400000000000000-6-6600-2202-2-2220-2000-22000000000000000000000000000000000000000000000000
χ9716-1608-8000000000000000004-4004-4000000-880-4400000000000000000-2200-220000000000000000000000000000000000000000
χ9816-1608-800000000000000000-222i3−2i3-222i3−2i30000-880-44000000000000000001-1−i3i31-1−i3i300000000000000000000000000000000000000
χ9916-1608-800000000000000000-22−2i32i3-22−2i32i30000-880-44000000000000000001-1i3−i31-1i3−i300000000000000000000000000000000000000
χ10016-160-88000000000000000004-400-44000000-8804-400000000000000000-22002-20000000000000000000000000000000000000000
χ10116-160-8800000000000000000-222i3−2i32-2−2i32i30000-8804-4000000000000000001-1−i3i3-11i3−i300000000000000000000000000000000000000
χ10216-160-8800000000000000000-22−2i32i32-22i3−2i30000-8804-4000000000000000001-1i3−i3-11−i3i300000000000000000000000000000000000000

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