Finite Group Databasebeta

← Group #13048719

Character table — Group #13048719

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122224466666666121212121212121218181818181818181854545454545411222244666666661212121212121212181818181818181818545454545454
order1233663633336666333366664121212121212121222666622666666666666666666666641212121212121212226666
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
χ522222222222-1-1222-1-1-1-1-1-1-1-10000000000200-1-122222222222-1-1222-1-1-1-1-1-1-1-10000000000200-1-1
χ622222222222-1-1222-1-1-1-1-1-1-1-10000000000-2001122222222222-1-1222-1-1-1-1-1-1-1-10000000000-20011
χ722222222-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-100000022222222-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1000000
χ822222222-1-1-122-1-1-12-1-1-12-1-1-1-2-2-211111100000022222222-1-1-122-1-1-12-1-1-12-1-1-1-2-2-2111111000000
χ922-122-1-1-12-1-1222-1-1-12-1-1-12-1-12-1-122-1-1-1-100000022-122-1-1-12-1-1222-1-1-12-1-1-12-1-12-1-122-1-1-1-1000000
χ1022-122-1-1-12-1-1222-1-1-12-1-1-12-1-1-211-2-2111100000022-122-1-1-12-1-1222-1-1-12-1-1-12-1-1-211-2-21111000000
χ1122-122-1-1-1-12-122-12-1-1-12-1-1-12-12-1-1-1-122-1-100000022-122-1-1-1-12-122-12-1-1-12-1-1-12-12-1-1-1-122-1-1000000
χ1222-122-1-1-1-12-122-12-1-1-12-1-1-12-1-21111-2-21100000022-122-1-1-1-12-122-12-1-1-12-1-1-12-1-21111-2-211000000
χ1322-122-1-1-1-1-1222-1-12-1-1-12-1-1-122-1-1-1-1-1-12200000022-122-1-1-1-1-1222-1-12-1-1-12-1-1-122-1-1-1-1-1-122000000
χ1422-122-1-1-1-1-1222-1-12-1-1-12-1-1-12-2111111-2-200000022-122-1-1-1-1-1222-1-12-1-1-12-1-1-12-2111111-2-2000000
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
χ162-222-2-22-2222-11-2-2-2-1-1-1-111110000000000000−i3i32-222-2-22-2222-11-2-2-2-1-1-1-111110000000000000−i3i3
χ172-222-2-22-2222-11-2-2-2-1-1-1-111110000000000000i3−i32-222-2-22-2222-11-2-2-2-1-1-1-111110000000000000i3−i3
χ182-222-2-22-2-1-1-12-21112-1-1-1-21110003−33−33−30000002-222-2-22-2-1-1-12-21112-1-1-1-21110003−33−33−3000000
χ192-222-2-22-2-1-1-12-21112-1-1-1-2111000−33−33−330000002-222-2-22-2-1-1-12-21112-1-1-1-2111000−33−33−33000000
χ202-2-12-21-112-1-12-2-211-12-1-11-21103−3003−3−330000002-2-12-21-112-1-12-2-211-12-1-11-21103−3003−3−33000000
χ212-2-12-21-112-1-12-2-211-12-1-11-2110−3300−333−30000002-2-12-21-112-1-12-2-211-12-1-11-2110−3300−333−3000000
χ222-2-12-21-11-12-12-21-21-1-12-111-2103−3−33003−30000002-2-12-21-11-12-12-21-21-1-12-111-2103−3−33003−3000000
χ232-2-12-21-11-12-12-21-21-1-12-111-210−333−300−330000002-2-12-21-11-12-12-21-21-1-12-111-210−333−300−33000000
χ242-2-12-21-11-1-122-211-2-1-1-12111-203−33−3−33000000002-2-12-21-11-1-122-211-2-1-1-12111-203−33−3−3300000000
χ252-2-12-21-11-1-122-211-2-1-1-12111-20−33−333−3000000002-2-12-21-11-1-122-211-2-1-1-12111-20−33−333−300000000
χ2644444444-2-2-2-2-2-2-2-2-2111-211100000000000000044444444-2-2-2-2-2-2-2-2-2111-2111000000000000000
χ2744-244-2-2-24-2-2-2-24-2-21-2111-21100000000000000044-244-2-2-24-2-2-2-24-2-21-2111-211000000000000000
χ2844-244-2-2-2-24-2-2-2-24-211-2111-2100000000000000044-244-2-2-2-24-2-2-2-24-211-2111-21000000000000000
χ2944-244-2-2-2-2-24-2-2-2-24111-2111-200000000000000044-244-2-2-2-2-24-2-2-2-24111-2111-2000000000000000
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
χ314-4-24-42-224-2-2-22-4221-211-12-1-10000000000000004-4-24-42-224-2-2-22-4221-211-12-1-1000000000000000
χ324-4-24-42-22-24-2-222-4211-21-1-12-10000000000000004-4-24-42-22-24-2-222-4211-21-1-12-1000000000000000
χ334-4-24-42-22-2-24-2222-4111-2-1-1-120000000000000004-4-24-42-22-2-24-2222-4111-2-1-1-12000000000000000
χ34666-3-36-3-3000000000000000000000000020-1-100666-3-36-3-3000000000000000000000000020-1-100
χ35666-3-36-3-30000000000000000000000000-201100666-3-36-3-30000000000000000000000000-201100
χ366-66-33-6-33000000000000000000000000000−i3i3006-66-33-6-33000000000000000000000000000−i3i300
χ376-66-33-6-33000000000000000000000000000i3−i3006-66-33-6-33000000000000000000000000000i3−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
χ4422222222222-1-1222-1-1-1-1-1-1-1-10000000000200-1-1-2-2-2-2-2-2-2-2-2-2-211-2-2-2111111110000000000-20011
χ4522222222222-1-1222-1-1-1-1-1-1-1-10000000000-20011-2-2-2-2-2-2-2-2-2-2-211-2-2-2111111110000000000200-1-1
χ4622222222-1-1-122-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1000000-2-2-2-2-2-2-2-2111-2-2111-2111-2111-2-2-2111111000000
χ4722222222-1-1-122-1-1-12-1-1-12-1-1-1-2-2-2111111000000-2-2-2-2-2-2-2-2111-2-2111-2111-2111222-1-1-1-1-1-1000000
χ4822-122-1-1-12-1-1222-1-1-12-1-1-12-1-12-1-122-1-1-1-1000000-2-21-2-2111-211-2-2-2111-2111-211-211-2-21111000000
χ4922-122-1-1-12-1-1222-1-1-12-1-1-12-1-1-211-2-21111000000-2-21-2-2111-211-2-2-2111-2111-2112-1-122-1-1-1-1000000
χ5022-122-1-1-1-12-122-12-1-1-12-1-1-12-12-1-1-1-122-1-1000000-2-21-2-21111-21-2-21-2111-2111-21-21111-2-211000000
χ5122-122-1-1-1-12-122-12-1-1-12-1-1-12-1-21111-2-211000000-2-21-2-21111-21-2-21-2111-2111-212-1-1-1-122-1-1000000
χ5222-122-1-1-1-1-1222-1-12-1-1-12-1-1-122-1-1-1-1-1-122000000-2-21-2-211111-2-2-211-2111-2111-2-2111111-2-2000000
χ5322-122-1-1-1-1-1222-1-12-1-1-12-1-1-12-2111111-2-2000000-2-21-2-211111-2-2-211-2111-2111-22-1-1-1-1-1-122000000
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
χ552-222-2-22-2222-11-2-2-2-1-1-1-111110000000000000−i3i3-22-2-222-22-2-2-21-12221111-1-1-1-10000000000000i3−i3
χ562-222-2-22-2222-11-2-2-2-1-1-1-111110000000000000i3−i3-22-2-222-22-2-2-21-12221111-1-1-1-10000000000000−i3i3
χ572-222-2-22-2-1-1-12-21112-1-1-1-21110003−33−33−3000000-22-2-222-22111-22-1-1-1-21112-1-1-1000−33−33−33000000
χ582-222-2-22-2-1-1-12-21112-1-1-1-2111000−33−33−33000000-22-2-222-22111-22-1-1-1-21112-1-1-10003−33−33−3000000
χ592-2-12-21-112-1-12-2-211-12-1-11-21103−3003−3−33000000-221-22-11-1-211-222-1-11-211-12-1-10−3300−333−3000000
χ602-2-12-21-112-1-12-2-211-12-1-11-2110−3300−333−3000000-221-22-11-1-211-222-1-11-211-12-1-103−3003−3−33000000
χ612-2-12-21-11-12-12-21-21-1-12-111-2103−3−33003−3000000-221-22-11-11-21-22-12-111-21-1-12-10−333−300−33000000
χ622-2-12-21-11-12-12-21-21-1-12-111-210−333−300−33000000-221-22-11-11-21-22-12-111-21-1-12-103−3−33003−3000000
χ632-2-12-21-11-1-122-211-2-1-1-12111-203−33−3−3300000000-221-22-11-111-2-22-1-12111-2-1-1-120−33−333−300000000
χ642-2-12-21-11-1-122-211-2-1-1-12111-20−33−333−300000000-221-22-11-111-2-22-1-12111-2-1-1-1203−33−3−3300000000
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
χ6644-244-2-2-24-2-2-2-24-2-21-2111-211000000000000000-4-42-4-4222-42222-422-12-1-1-12-1-1000000000000000
χ6744-244-2-2-2-24-2-2-2-24-211-2111-21000000000000000-4-42-4-42222-42222-42-1-12-1-1-12-1000000000000000
χ6844-244-2-2-2-2-24-2-2-2-24111-2111-2000000000000000-4-42-4-422222-42222-4-1-1-12-1-1-12000000000000000
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
χ704-4-24-42-224-2-2-22-4221-211-12-1-1000000000000000-442-44-22-2-4222-24-2-2-12-1-11-211000000000000000
χ714-4-24-42-22-24-2-222-4211-21-1-12-1000000000000000-442-44-22-22-422-2-24-2-1-12-111-21000000000000000
χ724-4-24-42-22-2-24-2222-4111-2-1-1-12000000000000000-442-44-22-222-42-2-2-24-1-1-12111-2000000000000000
χ73666-3-36-3-3000000000000000000000000020-1-100-6-6-633-6330000000000000000000000000-201100
χ74666-3-36-3-30000000000000000000000000-201100-6-6-633-633000000000000000000000000020-1-100
χ756-66-33-6-33000000000000000000000000000−i3i300-66-63-363-3000000000000000000000000000i3−i300
χ766-66-33-6-33000000000000000000000000000i3−i300-66-63-363-3000000000000000000000000000−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).