Finite Group Databasebeta

← Group #13048720

Character table — Group #13048720

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122224466666666121212121212121218181818181818181854545454545411222244666666661212121212121212181818181818181818545454545454
order1233663633336666333366662666666662466121222666666666666666666666626666666624661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111
χ5222222222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-1000000222222222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-1000000
χ6222222222-1-1-1-1-1-122-1-1-12-1-1-1-2-2-2111111000000222222222-1-1-1-1-1-122-1-1-12-1-1-1-2-2-2111111000000
χ722222222-1222222-1-1-1-1-1-1-1-1-10000000000200-1-122222222-1222222-1-1-1-1-1-1-1-1-10000000000200-1-1
χ822222222-1222222-1-1-1-1-1-1-1-1-10000000000-2001122222222-1222222-1-1-1-1-1-1-1-1-10000000000-20011
χ922-12-12-1-122-1-12-1-12-12-1-1-12-1-12-1-122-1-1-1-100000022-12-12-1-122-1-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1000000
χ1022-12-12-1-122-1-12-1-12-12-1-1-12-1-1-211-2-2111100000022-12-12-1-122-1-12-1-12-12-1-1-12-1-1-211-2-21111000000
χ1122-12-12-1-12-12-1-12-12-1-12-1-1-12-12-1-1-1-122-1-100000022-12-12-1-12-12-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1000000
χ1222-12-12-1-12-12-1-12-12-1-12-1-1-12-1-21111-2-21100000022-12-12-1-12-12-1-12-12-1-12-1-1-12-1-21111-2-211000000
χ1322-12-12-1-12-1-12-1-122-1-1-12-1-1-122-1-1-1-1-1-12200000022-12-12-1-12-1-12-1-122-1-1-12-1-1-122-1-1-1-1-1-122000000
χ1422-12-12-1-12-1-12-1-122-1-1-12-1-1-12-2111111-2-200000022-12-12-1-12-1-12-1-122-1-1-12-1-1-12-2111111-2-2000000
χ152-222-2-22-22222-2-2-2-22222-2-2-2-20000000000000002-222-2-22-22222-2-2-2-22222-2-2-2-2000000000000000
χ162-222-2-22-22-1-1-1111-22-1-1-1-2111000−i3i3−i3i3−i3i30000002-222-2-22-22-1-1-1111-22-1-1-1-2111000−i3i3−i3i3−i3i3000000
χ172-222-2-22-22-1-1-1111-22-1-1-1-2111000i3−i3i3−i3i3−i30000002-222-2-22-22-1-1-1111-22-1-1-1-2111000i3−i3i3−i3i3−i3000000
χ182-222-2-22-2-1222-2-2-21-1-1-1-1111100000000000003−32-222-2-22-2-1222-2-2-21-1-1-1-1111100000000000003−3
χ192-222-2-22-2-1222-2-2-21-1-1-1-111110000000000000−332-222-2-22-2-1222-2-2-21-1-1-1-111110000000000000−33
χ202-2-121-2-1122-1-1-211-2-12-1-11-2110−i3i300−i3i3i3−i30000002-2-121-2-1122-1-1-211-2-12-1-11-2110−i3i300−i3i3i3−i3000000
χ212-2-121-2-1122-1-1-211-2-12-1-11-2110i3−i300i3−i3−i3i30000002-2-121-2-1122-1-1-211-2-12-1-11-2110i3−i300i3−i3−i3i3000000
χ222-2-121-2-112-12-11-21-2-1-12-111-210−i3i3i3−i300−i3i30000002-2-121-2-112-12-11-21-2-1-12-111-210−i3i3i3−i300−i3i3000000
χ232-2-121-2-112-12-11-21-2-1-12-111-210i3−i3−i3i300i3−i30000002-2-121-2-112-12-11-21-2-1-12-111-210i3−i3−i3i300i3−i3000000
χ242-2-121-2-112-1-1211-2-2-1-1-12111-20−i3i3−i3i3i3−i3000000002-2-121-2-112-1-1211-2-2-1-1-12111-20−i3i3−i3i3i3−i300000000
χ252-2-121-2-112-1-1211-2-2-1-1-12111-20i3−i3i3−i3−i3i3000000002-2-121-2-112-1-1211-2-2-1-1-12111-20i3−i3i3−i3−i3i300000000
χ2644444444-2-2-2-2-2-2-2-2-2111-211100000000000000044444444-2-2-2-2-2-2-2-2-2111-2111000000000000000
χ2744-24-24-2-2-24-2-24-2-2-21-2111-21100000000000000044-24-24-2-2-24-2-24-2-2-21-2111-211000000000000000
χ2844-24-24-2-2-2-24-2-24-2-211-2111-2100000000000000044-24-24-2-2-2-24-2-24-2-211-2111-21000000000000000
χ2944-24-24-2-2-2-2-24-2-24-2111-2111-200000000000000044-24-24-2-2-2-2-24-2-24-2111-2111-2000000000000000
χ304-444-4-44-4-2-2-2-22222-21112-1-1-10000000000000004-444-4-44-4-2-2-2-22222-21112-1-1-1000000000000000
χ314-4-242-4-22-24-2-2-42221-211-12-1-10000000000000004-4-242-4-22-24-2-2-42221-211-12-1-1000000000000000
χ324-4-242-4-22-2-24-22-42211-21-1-12-10000000000000004-4-242-4-22-2-24-22-42211-21-1-12-1000000000000000
χ334-4-242-4-22-2-2-2422-42111-2-1-1-120000000000000004-4-242-4-22-2-2-2422-42111-2-1-1-12000000000000000
χ34666-36-3-3-3000000000000000000000000020-1-100666-36-3-3-3000000000000000000000000020-1-100
χ35666-36-3-3-30000000000000000000000000-201100666-36-3-3-30000000000000000000000000-201100
χ366-66-3-63-33000000000000000000000000000−i3i3006-66-3-63-33000000000000000000000000000−i3i300
χ376-66-3-63-33000000000000000000000000000i3−i3006-66-3-63-33000000000000000000000000000i3−i300
χ381212-6-6-6-63300000000000000000000000000000001212-6-6-6-6330000000000000000000000000000000
χ3912-12-6-6663-3000000000000000000000000000000012-12-6-6663-30000000000000000000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ42111111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111
χ43111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1
χ44222222222-1-1-1-1-1-122-1-1-12-1-1-1222-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2-2111111-2-2111-2111-2-2-2111111000000
χ45222222222-1-1-1-1-1-122-1-1-12-1-1-1-2-2-2111111000000-2-2-2-2-2-2-2-2-2111111-2-2111-2111222-1-1-1-1-1-1000000
χ4622222222-1222222-1-1-1-1-1-1-1-1-10000000000200-1-1-2-2-2-2-2-2-2-21-2-2-2-2-2-21111111110000000000-20011
χ4722222222-1222222-1-1-1-1-1-1-1-1-10000000000-20011-2-2-2-2-2-2-2-21-2-2-2-2-2-21111111110000000000200-1-1
χ4822-12-12-1-122-1-12-1-12-12-1-1-12-1-12-1-122-1-1-1-1000000-2-21-21-211-2-211-211-21-2111-211-211-2-21111000000
χ4922-12-12-1-122-1-12-1-12-12-1-1-12-1-1-211-2-21111000000-2-21-21-211-2-211-211-21-2111-2112-1-122-1-1-1-1000000
χ5022-12-12-1-12-12-1-12-12-1-12-1-1-12-12-1-1-1-122-1-1000000-2-21-21-211-21-211-21-211-2111-21-21111-2-211000000
χ5122-12-12-1-12-12-1-12-12-1-12-1-1-12-1-21111-2-211000000-2-21-21-211-21-211-21-211-2111-212-1-1-1-122-1-1000000
χ5222-12-12-1-12-1-12-1-122-1-1-12-1-1-122-1-1-1-1-1-122000000-2-21-21-211-211-211-2-2111-2111-2-2111111-2-2000000
χ5322-12-12-1-12-1-12-1-122-1-1-12-1-1-12-2111111-2-2000000-2-21-21-211-211-211-2-2111-2111-22-1-1-1-1-1-122000000
χ542-222-2-22-22222-2-2-2-22222-2-2-2-2000000000000000-22-2-222-22-2-2-2-22222-2-2-2-22222000000000000000
χ552-222-2-22-22-1-1-1111-22-1-1-1-2111000−i3i3−i3i3−i3i3000000-22-2-222-22-2111-1-1-12-21112-1-1-1000i3−i3i3−i3i3−i3000000
χ562-222-2-22-22-1-1-1111-22-1-1-1-2111000i3−i3i3−i3i3−i3000000-22-2-222-22-2111-1-1-12-21112-1-1-1000−i3i3−i3i3−i3i3000000
χ572-222-2-22-2-1222-2-2-21-1-1-1-1111100000000000003−3-22-2-222-221-2-2-2222-11111-1-1-1-10000000000000−33
χ582-222-2-22-2-1222-2-2-21-1-1-1-111110000000000000−33-22-2-222-221-2-2-2222-11111-1-1-1-100000000000003−3
χ592-2-121-2-1122-1-1-211-2-12-1-11-2110−i3i300−i3i3i3−i3000000-221-2-121-1-2-2112-1-121-211-12-1-10i3−i300i3−i3−i3i3000000
χ602-2-121-2-1122-1-1-211-2-12-1-11-2110i3−i300i3−i3−i3i3000000-221-2-121-1-2-2112-1-121-211-12-1-10−i3i300−i3i3i3−i3000000
χ612-2-121-2-112-12-11-21-2-1-12-111-210−i3i3i3−i300−i3i3000000-221-2-121-1-21-21-12-1211-21-1-12-10i3−i3−i3i300i3−i3000000
χ622-2-121-2-112-12-11-21-2-1-12-111-210i3−i3−i3i300i3−i3000000-221-2-121-1-21-21-12-1211-21-1-12-10−i3i3i3−i300−i3i3000000
χ632-2-121-2-112-1-1211-2-2-1-1-12111-20−i3i3−i3i3i3−i300000000-221-2-121-1-211-2-1-122111-2-1-1-120i3−i3i3−i3−i3i300000000
χ642-2-121-2-112-1-1211-2-2-1-1-12111-20i3−i3i3−i3−i3i300000000-221-2-121-1-211-2-1-122111-2-1-1-120−i3i3−i3i3i3−i300000000
χ6544444444-2-2-2-2-2-2-2-2-2111-2111000000000000000-4-4-4-4-4-4-4-4222222222-1-1-12-1-1-1000000000000000
χ6644-24-24-2-2-24-2-24-2-2-21-2111-211000000000000000-4-42-42-4222-422-4222-12-1-1-12-1-1000000000000000
χ6744-24-24-2-2-2-24-2-24-2-211-2111-21000000000000000-4-42-42-42222-422-422-1-12-1-1-12-1000000000000000
χ6844-24-24-2-2-2-2-24-2-24-2111-2111-2000000000000000-4-42-42-422222-422-42-1-1-12-1-1-12000000000000000
χ694-444-4-44-4-2-2-2-22222-21112-1-1-1000000000000000-44-4-444-442222-2-2-2-22-1-1-1-2111000000000000000
χ704-4-242-4-22-24-2-2-42221-211-12-1-1000000000000000-442-4-242-22-4224-2-2-2-12-1-11-211000000000000000
χ714-4-242-4-22-2-24-22-42211-21-1-12-1000000000000000-442-4-242-222-42-24-2-2-1-12-111-21000000000000000
χ724-4-242-4-22-2-2-2422-42111-2-1-1-12000000000000000-442-4-242-2222-4-2-24-2-1-1-12111-2000000000000000
χ73666-36-3-3-3000000000000000000000000020-1-100-6-6-63-63330000000000000000000000000-201100
χ74666-36-3-3-30000000000000000000000000-201100-6-6-63-6333000000000000000000000000020-1-100
χ756-66-3-63-33000000000000000000000000000−i3i300-66-636-33-3000000000000000000000000000i3−i300
χ766-66-3-63-33000000000000000000000000000i3−i300-66-636-33-3000000000000000000000000000−i3i300
χ771212-6-6-6-6330000000000000000000000000000000-12-126666-3-30000000000000000000000000000000
χ7812-12-6-6663-30000000000000000000000000000000-121266-6-6-330000000000000000000000000000000

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