Finite Group Databasebeta

← Group #72269132

Character table — Group #72269132

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122224444448888888888881212121616181824242424242424242424242436363636363672727272727272727272108108108108108108108108108162
order123366333666333333666666266364466666666666622121212126666666612124881212242424242
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11
χ311111111111111111111111111111-111111111111111-1-1-1111-11-111-1-11-1-11-1-1-111-1-1-1
χ411111111111111111111111111111-11111111111111-11-1-111-11-11-1-1111-1-1-11-1-1-1-111-1
χ5111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11
χ6111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-111111
χ7111111111111111111111111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-11-111-1-11-11-1111-1-111-1
χ8111111111111111111111111-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-11-1-1111-111-11111-1-1-1
χ9222222222222222222222222000222-20000000000000022-2-200000000-22000000000-2
χ1022222222222222222222222200022-2-200000000000000-2-2-2-200000000-2-20000000002
χ11222-12-12-12-1222-1-1-12-12-1-1-12-1222-1-1022-1-1-122-1-1-1-1-1-102002-10-10200-1-1-100020000-1-10
χ12222-12-12-12-1222-1-1-12-12-1-1-12-1222-1-1022-1-1-122-1-1-1-1-1-10-2002-1010-20011-1000-20000110
χ13222-12-12-12-1222-1-1-12-12-1-1-12-1-2-2-2-1-102-2111-2-211111102002-10-10200-1-1-1000-20000110
χ14222-12-12-12-1222-1-1-12-12-1-1-12-1-2-2-2-1-102-2111-2-21111110-2002-1010-20011-100020000-1-10
χ1522-12-122-12-122-12-1-1-12-12-1-1-12222-1-102-12-1-1-1-122-1-1-1-12000-12-1020-1-100-1002000-1-1000
χ1622-12-122-12-122-12-1-1-12-12-1-1-12222-1-102-12-1-1-1-122-1-1-1-1-2000-1210-201100-100-200011000
χ1722-12-122-12-122-12-1-1-12-12-1-1-12-2-2-2-1-1021-21111-2-211112000-12-1020-1-100-100-200011000
χ1822-12-122-12-122-12-1-1-12-12-1-1-12-2-2-2-1-1021-21111-2-21111-2000-1210-201100-1002000-1-1000
χ1944444414-24-211111-2-21111-2-22-1-1-2-2402222-1-1-1-1-1-1-1-1001100000000000-2200-1-100000
χ2044444414-24-211111-2-21111-2-22-1-1-2-2-402222-1-1-1-1-1-1-1-100-1-1000000000002-2001100000
χ2144444414-24-211111-2-21111-2-2-211-2-240-2-2-2-211111111001100000000000-2-2001100000
χ2244444414-24-211111-2-21111-2-2-211-2-2-40-2-2-2-21111111100-1-1000000000002200-1-100000
χ23444444-24141-2-2-2-2-211-2-2-2-211000114000000000000022-2-20022-1-1-1-1-1-1010000000000
χ24444444-24141-2-2-2-2-211-2-2-2-2110001140000000000000-2-2-2-200-2-2111111010000000000
χ25444444-24141-2-2-2-2-211-2-2-2-21100011-400000000000002-222002-2-11-1-1110-10000000000
χ26444444-24141-2-2-2-2-211-2-2-2-21100011-40000000000000-222200-221-111-1-10-10000000000
χ27444-24-24-24-2444-2-2-24-24-2-2-24-2000-2-20-40000000000000000-4200000000200000000000
χ2844-24-244-24-244-24-2-2-24-24-2-2-24000-2-20-400000000000000002-400000000200000000000
χ2944-2-2-2-2414144-2-211-2-2-2-211-2-2000110-4003-3000033-3-300002200000000-100000000000
χ3044-2-2-2-2414144-2-211-2-2-2-211-2-2000110-400-330000-3-33300002200000000-100000000000
χ3144-2-2-2-2414144-2-211-2-2-2-211-2-24441104-2-211-2-2-2-211110000-2-200000000100000000000
χ3244-2-2-2-2414144-2-211-2-2-2-211-2-2-4-4-4110422-1-12222-1-1-1-10000-2-200000000100000000000
χ334-444-4-414-2-42-11111-2-2-1-1-1-1220−i3i3-22000000−i3i3−i3i3−i3i3−i3i3003i−3i0000000000000003−300000
χ344-444-4-414-2-42-11111-2-2-1-1-1-1220−i3i3-22000000−i3i3−i3i3−i3i3−i3i300−3i3i000000000000000−3300000
χ354-444-4-414-2-42-11111-2-2-1-1-1-1220i3−i3-22000000i3−i3i3−i3i3−i3i3−i3003i−3i000000000000000−3300000
χ364-444-4-414-2-42-11111-2-2-1-1-1-1220i3−i3-22000000i3−i3i3−i3i3−i3i3−i300−3i3i0000000000000003−300000
χ374-444-4-4444-4-4-4444444-4-4-4-4-4-40004-40000000000000000000000000000000000000000
χ384-44-2-424-242-4-44-2-2-24-2-4222-42000-220000000000000000000000000000000000000i6−i60
χ394-44-2-424-242-4-44-2-2-24-2-4222-42000-220000000000000000000000000000000000000−i6i60
χ404-4-242-44-242-4-4-24-2-2-242-4222-4000-2200000000000000000000000000000000000i6−i6000
χ414-4-242-44-242-4-4-24-2-2-242-4222-4000-2200000000000000000000000000000000000−i6i6000
χ42888-48-42-4-4-4-422-1-1-1-422-1-1-1-424-2-222004-2-2-2-2-211111100000000000000000000000000
χ43888-48-42-4-4-4-422-1-1-1-422-1-1-1-42-4222200-422222-1-1-1-1-1-100000000000000000000000000
χ44888-48-4-4-42-42-4-42222-1-42222-1000-1-1000000000000000400000-20-20011000000000000
χ45888-48-4-4-42-42-4-42222-1-42222-1000-1-1000000000000000-40000020200-1-1000000000000
χ4688-48-482-4-4-4-42-12-1-12-4-12-1-12-44-2-22200-24-2-211-2-2111100000000000000000000000000
χ4788-48-482-4-4-4-42-12-1-12-4-12-1-12-4-42222002-422-1-122-1-1-1-100000000000000000000000000
χ4888-48-48-4-42-42-42-422-122-422-12000-1-100000000000000400000-20-201100000000000000
χ4988-48-48-4-42-42-42-422-122-422-12000-1-100000000000000-4000002020-1-100000000000000
χ5088-4-4-4-422-42-42-1-15-422-1-15-4224-2-2-1-100-2-24-21111-2-21100000000000000000000000000
χ5188-4-4-4-422-42-42-1-15-422-1-15-422-422-1-10022-42-1-1-1-122-1-100000000000000000000000000
χ5288-4-4-4-422-42-42-1-1-4522-1-1-45224-2-2-1-100-2-2-24111111-2-200000000000000000000000000
χ5388-4-4-4-422-42-42-1-1-4522-1-1-4522-422-1-100222-4-1-1-1-1-1-12200000000000000000000000000
χ548-888-8-8-482-8-24-4-4-4-4224444-2-20002-20000000000000000000000000000000000000000
χ558-88-4-842-4-444-22-1-1-1-42-21114-20−2i32i32-2000000−2i32i3i3−i3i3−i3i3−i300000000000000000000000000
χ568-88-4-842-4-444-22-1-1-1-42-21114-202i3−2i32-20000002i3−2i3−i3i3−i3i3−i3i300000000000000000000000000
χ578-88-4-84-4-424-24-42222-14-2-2-2-21000-11000000000000000000000000003-3000000000000
χ588-88-4-84-4-424-24-42222-14-2-2-2-21000-1100000000000000000000000000-33000000000000
χ598-8-484-82-4-444-2-12-1-12-41-211-240−2i32i32-2000000i3−i3−2i32i3i3−i3i3−i300000000000000000000000000
χ608-8-484-82-4-444-2-12-1-12-41-211-2402i3−2i32-2000000−i3i32i3−2i3−i3i3−i3i300000000000000000000000000
χ618-8-484-8-4-424-242-422-12-24-2-21-2000-110000000000000000000000003-300000000000000
χ628-8-484-8-4-424-242-422-12-24-2-21-2000-11000000000000000000000000-3300000000000000
χ638-8-4-44422-4-24-2-1-15-42211-54-2-20−2i32i3-11000000i3−i3i3−i3−2i32i3i3−i300000000000000000000000000
χ648-8-4-44422-4-24-2-1-15-42211-54-2-202i3−2i3-11000000−i3i3−i3i32i3−2i3−i3i300000000000000000000000000
χ658-8-4-44422-4-24-2-1-1-4522114-5-2-20−2i32i3-11000000i3−i3i3−i3i3−i3−2i32i300000000000000000000000000
χ668-8-4-44422-4-24-2-1-1-4522114-5-2-202i3−2i3-11000000−i3i3−i3i3−i3i32i3−2i300000000000000000000000000
χ678-8-4-444828-2-8-8-4-422-4-444-2-2440002-20000000000000000000000000000000000000000
χ681616-8-8-8-8-84444-844-2-2-2-244-2-2-2-2000110000000000000000000000000000000000000000
χ6916-16-8-888-844-4-4844-2-2-2-2-4-422220001-10000000000000000000000000000000000000000

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