Finite Group Databasebeta

← Group #11715152

Character table — Group #11715152

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size116668812116668812116668812116668812221212121616242212121216162422121212161624221212121616242212121216162422121212161624
order124883622248866244488121244448812124224886622248866222488662444881212444488121244448812124
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1
χ322200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-1022200-1-10
χ42-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110
χ52-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110
χ633-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-133-11100-1
χ733-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001
χ84-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-104-40001-10
χ91111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111-1-111-1111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1-1-1-111-1-11-1-1-111-1-11
χ1122200-1-1022200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-20011022200-1-10-2-2-200110-2-2-200110
χ122-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-110-220−i2i21-10-220−i2i21-10
χ132-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-110-220i2−i21-10-220i2−i21-10
χ1433-11100-133-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-100133-11100-1-3-31-1-1001-3-31-1-1001
χ1533-1-1-100133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-133-1-1-1001-3-311100-1-3-311100-1
χ164-40001-104-40001-104-40001-104-40001-104-40001-10-44000-110-44000-1104-40001-10-44000-110-44000-110
χ1711111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ18111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1-1-1-111-1-11
χ1922200-1-1022200-1-1022200-1-1022200-1-10-2-2-20011022200-1-10-2-2-200110-2-2-20011022200-1-10-2-2-200110
χ202-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-110-220−i2i21-10
χ212-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-110-220i2−i21-10
χ2233-11100-133-11100-133-11100-133-11100-1-3-31-1-100133-11100-1-3-31-1-1001-3-31-1-100133-11100-1-3-31-1-1001
χ2333-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-133-1-1-1001-3-311100-1-3-311100-133-1-1-1001-3-311100-1
χ244-40001-104-40001-104-40001-104-40001-10-44000-1104-40001-10-44000-110-44000-1104-40001-10-44000-110
χ2511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ26111-1-111-1111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1
χ2722200-1-1022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-20011022200-1-10-2-2-200110-2-2-20011022200-1-10
χ282-20i2−i2-1102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-110
χ292-20−i2i2-1102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-110
χ3033-11100-133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-100133-11100-1-3-31-1-1001-3-31-1-100133-11100-1
χ3133-1-1-100133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-133-1-1-1001-3-311100-1-3-311100-133-1-1-1001
χ324-40001-104-40001-104-40001-104-40001-10-44000-110-44000-1104-40001-10-44000-110-44000-1104-40001-10
χ331111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ34111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11111-1-111-1
χ3522200-1-1022200-1-10-2-2-200110-2-2-20011022200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-20011022200-1-10
χ362-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-102-20i2−i2-110
χ372-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-102-20−i2i2-110
χ3833-11100-133-11100-1-3-31-1-1001-3-31-1-100133-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-100133-11100-1
χ3933-1-1-100133-1-1-1001-3-311100-1-3-311100-133-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-133-1-1-1001
χ404-40001-104-40001-10-44000-110-44000-1104-40001-104-40001-10-44000-110-44000-110-44000-1104-40001-10
χ411111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ42111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11
χ4322200-1-1022200-1-10-2-2-200110-2-2-20011022200-1-10-2-2-20011022200-1-10-2-2-20011022200-1-10-2-2-200110
χ442-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-102-20i2−i2-110-220−i2i21-102-20i2−i2-110-220−i2i21-102-20i2−i2-110-220−i2i21-10
χ452-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-102-20−i2i2-110-220i2−i21-102-20−i2i2-110-220i2−i21-102-20−i2i2-110-220i2−i21-10
χ4633-11100-133-11100-1-3-31-1-1001-3-31-1-100133-11100-1-3-31-1-100133-11100-1-3-31-1-100133-11100-1-3-31-1-1001
χ4733-1-1-100133-1-1-1001-3-311100-1-3-311100-133-1-1-1001-3-311100-133-1-1-1001-3-311100-133-1-1-1001-3-311100-1
χ484-40001-104-40001-10-44000-110-44000-1104-40001-10-44000-1104-40001-10-44000-1104-40001-10-44000-110
χ491111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11111-1-111-1111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11
χ5122200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-20011022200-1-1022200-1-1022200-1-10-2-2-200110-2-2-200110
χ522-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10
χ532-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10
χ5433-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-100133-11100-133-11100-133-11100-1-3-31-1-1001-3-31-1-1001
χ5533-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-133-1-1-100133-1-1-100133-1-1-1001-3-311100-1-3-311100-1
χ564-40001-104-40001-10-44000-110-44000-110-44000-1104-40001-104-40001-104-40001-10-44000-110-44000-110
χ571111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ58111-1-111-1111-1-111-1-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11-1-1-111-1-11111-1-111-1111-1-111-1111-1-111-1
χ5922200-1-1022200-1-10-2-2-200110-2-2-200110-2-2-200110-2-2-200110-2-2-20011022200-1-1022200-1-1022200-1-10
χ602-20i2−i2-1102-20i2−i2-110-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-10-220−i2i21-102-20i2−i2-1102-20i2−i2-1102-20i2−i2-110
χ612-20−i2i2-1102-20−i2i2-110-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-10-220i2−i21-102-20−i2i2-1102-20−i2i2-1102-20−i2i2-110
χ6233-11100-133-11100-1-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-1001-3-31-1-100133-11100-133-11100-133-11100-1
χ6333-1-1-100133-1-1-1001-3-311100-1-3-311100-1-3-311100-1-3-311100-1-3-311100-133-1-1-100133-1-1-100133-1-1-1001
χ644-40001-104-40001-10-44000-110-44000-110-44000-110-44000-110-44000-1104-40001-104-40001-104-40001-10
χ6522222222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000
χ66222-2-222-2-2-2-222-2-222i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ6744400-2-20-4-4-4002204i4i4i00−2i−2i0−4i−4i−4i002i2i0000000000000000000000000000000000000000000000000
χ684-402i2−2i2-220-440−2i22i22-204i−4i0−2222−2i2i0−4i4i022−222i−2i0000000000000000000000000000000000000000000000000
χ694-40−2i22i2-220-4402i2−2i22-204i−4i022−22−2i2i0−4i4i0−22222i−2i0000000000000000000000000000000000000000000000000
χ7066-22200-2-6-62-2-20026i6i−2i2i2i00−2i−6i−6i2i−2i−2i002i000000000000000000000000000000000000000000000000
χ7166-2-2-2002-6-622200-26i6i−2i−2i−2i002i−6i−6i2i2i2i00−2i000000000000000000000000000000000000000000000000
χ728-80002-20-88000-2208i−8i0002i−2i0−8i8i000−2i2i0000000000000000000000000000000000000000000000000
χ7322222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000000000000000000000000000
χ74222-2-222-2-2-2-222-2-22−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ7544400-2-20-4-4-400220−4i−4i−4i002i2i04i4i4i00−2i−2i0000000000000000000000000000000000000000000000000
χ764-402i2−2i2-220-440−2i22i22-20−4i4i022−222i−2i04i−4i0−2222−2i2i0000000000000000000000000000000000000000000000000
χ774-40−2i22i2-220-4402i2−2i22-20−4i4i0−22222i−2i04i−4i022−22−2i2i0000000000000000000000000000000000000000000000000
χ7866-22200-2-6-62-2-2002−6i−6i2i−2i−2i002i6i6i−2i2i2i00−2i000000000000000000000000000000000000000000000000
χ7966-2-2-2002-6-622200-2−6i−6i2i2i2i00−2i6i6i−2i−2i−2i002i000000000000000000000000000000000000000000000000
χ808-80002-20-88000-220−8i8i000−2i2i08i−8i0002i−2i0000000000000000000000000000000000000000000000000

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