Finite Group Databasebeta

← Group #10592758

Character table — Group #10592758

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222222222222244444444444444444444444488888888888888888818181818181818187272
order12223333444444666666666666121212121212121212121212121212121212121212121212246666666612121212121212128888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1
χ611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ92222222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1022222222-2-222-2-2222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ1122222-1-1-122222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ1222222-1-1-122222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1322222-1-1-122-2-2-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000
χ1422222-1-1-122-2-2-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000
χ1522222-1-1-1-2-222-2-222-1-1-1-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-21111110000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000000000
χ1622222-1-1-1-2-222-2-222-1-1-1-1-1-12-1-1-1-2-211111122-1-1-1-1-1-1-2-21111110000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000000000
χ1722222-1-1-1-2-2-2-22222-1-1-1-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-12-222-1-1-1-1-1-1-2-21111110000000000
χ1822222-1-1-1-2-2-2-22222-1-1-1-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-22-2-211111122-1-1-1-1-1-10000000000
χ192222-12-1-1222222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-10000000000
χ202222-12-1-1222222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-2110000000000
χ212222-12-1-122-2-2-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000
χ222222-12-1-122-2-2-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000
χ232222-12-1-1-2-222-2-2-1-122-1-1-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-2111100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i30000000000
χ242222-12-1-1-2-222-2-2-1-122-1-1-1-1-12-1-111-2-21111-1-122-1-1-1-111-2-2111100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i30000000000
χ252222-12-1-1-2-2-2-222-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-12-2-1-12-1-12-1-111-211-2110000000000
χ262222-12-1-1-2-2-2-222-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-2211-211-211-1-12-1-12-1-10000000000
χ272222-1-12-1222222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000
χ282222-1-12-1222222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-20000000000
χ292222-1-12-122-2-2-2-2-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000
χ302222-1-12-122-2-2-2-2-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000
χ312222-1-12-1-2-222-2-2-1-1-1-122-1-1-1-12-11111-2-211-1-1-1-122-1-11111-2-21100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i300000000000
χ322222-1-12-1-2-222-2-2-1-1-1-122-1-1-1-12-11111-2-211-1-1-1-122-1-11111-2-21100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000000000
χ332222-1-12-1-2-2-2-222-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-12-2-1-1-12-1-1-12111-2111-20000000000
χ342222-1-12-1-2-2-2-222-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-22111-2111-2-1-1-12-1-1-120000000000
χ352222-1-1-12222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-10000000000
χ362222-1-1-12222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-210000000000
χ372222-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000
χ382222-1-1-1222-2-2-2-2-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000
χ392222-1-1-12-2-222-2-2-1-1-1-1-1-122-1-1-12111111-2-2-1-1-1-1-1-122111111-2-200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i30000000000
χ402222-1-1-12-2-222-2-2-1-1-1-1-1-122-1-1-12111111-2-2-1-1-1-1-1-122111111-2-200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i30000000000
χ412222-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1222-2-1-1-1-12-12-11111-21-210000000000
χ422222-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-221111-21-21-1-1-1-12-12-10000000000
χ4322-2-22222002i−2i002-22-22-22-2-2-2-2-2000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000022−2−2−i2−i2i2i200
χ4422-2-22222002i−2i002-22-22-22-2-2-2-2-2000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000−2−222i2i2−i2−i200
χ4522-2-2222200−2i2i002-22-22-22-2-2-2-2-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000022−2−2i2i2−i2−i200
χ4622-2-2222200−2i2i002-22-22-22-2-2-2-2-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2−222−i2−i2i2i200
χ472-22-222222i−2i0000-22-22-22-22-2-2-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000002−22−2−i2i2−i2i200
χ482-22-222222i−2i0000-22-22-22-22-2-2-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000−22−22i2−i2i2−i200
χ492-22-22222−2i2i0000-22-22-22-22-2-2-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000002−22−2i2−i2i2−i200
χ502-22-22222−2i2i0000-22-22-22-22-2-2-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000−22−22−i2i2−i2i200
χ512-2-22222200002-2-2-2-2-2-2-2-2-2222200000000000000002-22-22-22-200000000000000000000002-2-2200
χ522-2-22222200002-2-2-2-2-2-2-2-2-2222200000000000000002-22-22-22-20000000000000000000000-222-200
χ532-2-2222220000-22-2-2-2-2-2-2-2-222220000000000000000-22-22-22-220000000000000000002-2-22000000
χ542-2-2222220000-22-2-2-2-2-2-2-2-222220000000000000000-22-22-22-22000000000000000000-222-2000000
χ5544-4-44-2-2-2004i−4i004-4-22-22-22-4222000000004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ5644-4-44-2-2-200−4i4i004-4-22-22-22-422200000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ5744-4-4-24-2-2004i−4i00-224-4-22-222-42200000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000000000000000
χ5844-4-4-24-2-200−4i4i00-224-4-22-222-422000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000000000000000
χ5944-4-4-2-24-2004i−4i00-22-224-4-2222-4200000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000000000000000
χ6044-4-4-2-24-200−4i4i00-22-224-4-2222-42000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000000000000000
χ6144-4-4-2-2-24004i−4i00-22-22-224-4222-400000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000000000000000
χ6244-4-4-2-2-2400−4i4i00-22-22-224-4222-4000000002i−2i2i−2i2i−2i−4i4i000000000000000000000000000000000000
χ634-44-44-2-2-24i−4i0000-442-22-22-2-42224i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ644-44-44-2-2-2−4i4i0000-442-22-22-2-4222−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ654-44-4-24-2-24i−4i00002-2-442-22-22-422−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000000000
χ664-44-4-24-2-2−4i4i00002-2-442-22-22-4222i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000
χ674-44-4-2-24-24i−4i00002-22-2-442-222-42−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000000000000000000
χ684-44-4-2-24-2−4i4i00002-22-2-442-222-422i−2i2i−2i−4i4i2i−2i00000000000000000000000000000000000000000000
χ694-44-4-2-2-244i−4i00002-22-22-2-44222-4−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000000000000000000
χ704-44-4-2-2-24−4i4i00002-22-22-2-44222-42i−2i2i−2i2i−2i−4i4i00000000000000000000000000000000000000000000
χ714-4-444-2-2-200004-4-4-42222224-2-2-200000000000000004-4-22-22-220000000000000000000000000000
χ724-4-444-2-2-20000-44-4-42222224-2-2-20000000000000000-442-22-22-20000000000000000000000000000
χ734-4-44-24-2-200004-422-4-42222-24-2-20000000000000000-224-4-22-220000000000000000000000000000
χ744-4-44-24-2-20000-4422-4-42222-24-2-200000000000000002-2-442-22-20000000000000000000000000000
χ754-4-44-2-24-200004-42222-4-422-2-24-20000000000000000-22-224-4-220000000000000000000000000000
χ764-4-44-2-24-20000-442222-4-422-2-24-200000000000000002-22-2-442-20000000000000000000000000000
χ774-4-44-2-2-2400004-4222222-4-4-2-2-240000000000000000-22-22-224-40000000000000000000000000000
χ784-4-44-2-2-240000-44222222-4-4-2-2-2400000000000000002-22-22-2-440000000000000000000000000000

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