Finite Group Databasebeta

← Group #10877239

Character table — Group #10877239

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444666688888888888888888888888888888812121212121216161616242424242424242424242424
order1222222234444444466666662212121212121212124444444444446688881212121212121212242424242424242444444412121212444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1111111111-1-111-1-1-1-111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111111-1-1-1-1111111111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111
χ1111111111111-1-1-1-1111111111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ1211111111111-1-1-1-1111111111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1
χ1311111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-111
χ1411111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-11111-1-1-1-111-1-1
χ1511111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111111-1-1
χ1611111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ17222222222-2-22222-2-22222222-2-2-2-22222-2-2222200000000-2-200000000000000000000-2-2-2-2220000000000000000
χ18222222222-2-22222-2-22222222-2-2-2-22222-2-2-2-2-2-200000000-2-2000000000000000000002222-2-20000000000000000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222200000000220000000000000000000022-2-2-2-20000000000000000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002200000000000000000000-2-222220000000000000000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100002222-2-2-2-2-1-1-2-2-2-21111111111111111000000-1-1-1-1000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-22222-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111110000001111000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-1222211111111-1-1-1-1-1-1-1-10000001111000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-1000022-2-222-2-21122-2-2-1-1-1-11111-1-1-1-11111000000-1-111000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-1000022-2-2-2-22211-2-2221111-1-1-1-11111-1-1-1-1000000-1-111000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-10000-2-22222-2-211-2-222-1-1-1-111111111-1-1-1-100000011-1-1000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-1-11111-1-10000-2-222-2-2221122-2-21111-1-1-1-1-1-1-1-1111100000011-1-1000000000000
χ292222-2-2-2-222222-2-2-2-22-2-22-2-222-22222-2-2-2-200002-22-200002-2000000000000000000000000002-22-2000000000000
χ302222-2-2-2-222222-2-2-2-22-2-22-2-222-22222-2-2-2-20000-22-2200002-200000000000000000000000000-22-22000000000000
χ312222-2-2-2-2222-2-222-2-22-2-22-2-22-2222-2-222-2-200002-2-220000-22000000000000000000000000002-2-22000000000000
χ322222-2-2-2-2222-2-222-2-22-2-22-2-22-2222-2-222-2-20000-222-20000-2200000000000000000000000000-222-2000000000000
χ332222-2-2-2-22-2-222-2-2222-2-22-2-22-22-2-222-2-222000000000000-22000000000000000000000000000000002i−2i2i−2i000000
χ342222-2-2-2-22-2-222-2-2222-2-22-2-22-22-2-222-2-222000000000000-2200000000000000000000000000000000−2i2i−2i2i000000
χ352222-2-2-2-22-2-2-2-222222-2-22-2-222-2-2-2-2-222220000000000002-2000000000000000000000000000000002i−2i−2i2i000000
χ362222-2-2-2-22-2-2-2-222222-2-22-2-222-2-2-2-2-222220000000000002-200000000000000000000000000000000−2i2i2i−2i000000
χ372222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-1-1-1111100002-22-20000-11000033−3−333−3−333−3−333−3−3000000-11-11000000000000
χ382222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-1-1-1111100002-22-20000-110000−3−333−3−333−3−333−3−333000000-11-11000000000000
χ392222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-1-1-111110000-22-220000-11000033−3−333−3−3−3−333−3−3330000001-11-1000000000000
χ402222-2-2-2-2-12222-2-2-2-2-111-111-12-2-1-1-1-111110000-22-220000-110000−3−333−3−33333−3−333−3−30000001-11-1000000000000
χ412222-2-2-2-2-122-2-222-2-2-111-111-1-22-1-111-1-11100002-2-2200001-1000033−3−3−3−33333−3−3−3−333000000-111-1000000000000
χ422222-2-2-2-2-122-2-222-2-2-111-111-1-22-1-111-1-11100002-2-2200001-10000−3−33333−3−3−3−33333−3−3000000-111-1000000000000
χ432222-2-2-2-2-122-2-222-2-2-111-111-1-22-1-111-1-1110000-222-200001-1000033−3−3−3−333−3−33333−3−30000001-1-11000000000000
χ442222-2-2-2-2-122-2-222-2-2-111-111-1-22-1-111-1-1110000-222-200001-10000−3−33333−3−333−3−3−3−3330000001-1-11000000000000
χ452-22-22-2-222002i−2i2i−2i00-22-222-2-200002i−2i2i−2i0022-2-20000000000−i2i22−200000000−i2i2−i2i22−22−200002i−2i000000000000−i2i22−2
χ462-22-22-2-222002i−2i2i−2i00-22-222-2-200002i−2i2i−2i0022-2-20000000000i2−i2−2200000000i2−i2i2−i2−22−2200002i−2i000000000000i2−i2−22
χ472-22-22-2-222002i−2i2i−2i00-22-222-2-200002i−2i2i−2i00-2-2220000000000−i2i22−200000000−i2i2−i2i22−22−20000−2i2i000000000000i2−i2−22
χ482-22-22-2-222002i−2i2i−2i00-22-222-2-200002i−2i2i−2i00-2-2220000000000i2−i2−2200000000i2−i2i2−i2−22−220000−2i2i000000000000−i2i22−2
χ492-22-22-2-22200−2i2i−2i2i00-22-222-2-20000−2i2i−2i2i0022-2-20000000000−i2i2−2200000000−i2i2−i2i2−22−220000−2i2i000000000000−i2i2−22
χ502-22-22-2-22200−2i2i−2i2i00-22-222-2-20000−2i2i−2i2i0022-2-20000000000i2−i22−200000000i2−i2i2−i22−22−20000−2i2i000000000000i2−i22−2
χ512-22-22-2-22200−2i2i−2i2i00-22-222-2-20000−2i2i−2i2i00-2-2220000000000−i2i2−2200000000−i2i2−i2i2−22−2200002i−2i000000000000i2−i22−2
χ522-22-22-2-22200−2i2i−2i2i00-22-222-2-20000−2i2i−2i2i00-2-2220000000000i2−i22−200000000i2−i2i2−i22−22−200002i−2i000000000000−i2i2−22
χ532-2-222-22-222-200002-2-222-2-2-22002-200002-22-22-20000002i−2i00000000002i−2i2i−2i00000000002-20000000000002i−2i0000
χ542-2-222-22-222-200002-2-222-2-2-22002-200002-22-22-2000000−2i2i0000000000−2i2i−2i2i00000000002-2000000000000−2i2i0000
χ552-2-222-22-222-200002-2-222-2-2-22002-200002-2-22-220000002i−2i00000000002i−2i2i−2i0000000000-22000000000000−2i2i0000
χ562-2-222-22-222-200002-2-222-2-2-22002-200002-2-22-22000000−2i2i0000000000−2i2i−2i2i0000000000-220000000000002i−2i0000
χ572-2-222-22-22-220000-22-222-2-2-2200-220000-222-22-200002i−2i000000002i−2i2i−2i00000000000000-220000002i−2i0000000000
χ582-2-222-22-22-220000-22-222-2-2-2200-220000-222-22-20000−2i2i00000000−2i2i−2i2i00000000000000-22000000−2i2i0000000000
χ592-2-222-22-22-220000-22-222-2-2-2200-220000-22-22-2200002i−2i000000002i−2i2i−2i000000000000002-2000000−2i2i0000000000
χ602-2-222-22-22-220000-22-222-2-2-2200-220000-22-22-220000−2i2i00000000−2i2i−2i2i000000000000002-20000002i−2i0000000000
χ6144444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-422-2-2-2-22200000000000022000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-24422222222000000000000-2-2000000000000000000000000000000000000000000
χ634444-4-4-4-4-2-4-444-4-444-222-222-2-4422-2-222-2-20000000000002-2000000000000000000000000000000000000000000
χ644444-4-4-4-4-2-4-4-4-44444-222-222-24-42222-2-2-2-2000000000000-22000000000000000000000000000000000000000000
χ6544-4-444-4-440000000044-4-4-44-400000000004-4-440000000000000000000000000000000000000000000000000000
χ6644-4-444-4-440000000044-4-4-44-40000000000-444-40000000000000000000000000000000000000000000000000000
χ6744-4-4-4-4444000000004-44-44-4-4000000000000000000000000000000000000000000004i−4i00000000000000000000
χ6844-4-4-4-4444000000004-44-44-4-400000000000000000000000000000000000000000000−4i4i00000000000000000000
χ694-44-44-4-44-2004i−4i4i−4i002-22-2-2220000−2i2i−2i2i0000000000000000−2i22i222−2200000000i2−i2i2−i2−22−220000000000000000000000
χ704-44-44-4-44-2004i−4i4i−4i002-22-2-2220000−2i2i−2i2i00000000000000002i2−2i2−222200000000−i2i2−i2i22−22−20000000000000000000000
χ714-44-44-4-44-200−4i4i−4i4i002-22-2-22200002i−2i2i−2i0000000000000000−2i22i2−222200000000i2−i2i2−i22−22−20000000000000000000000
χ724-44-44-4-44-200−4i4i−4i4i002-22-2-22200002i−2i2i−2i00000000000000002i2−2i222−2200000000−i2i2−i2i2−22−220000000000000000000000
χ734-44-4-444-44004i−4i−4i4i00-4-444-44-400004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ744-44-4-444-4400−4i4i4i−4i00-4-444-44-40000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ754-44-4-444-4-2004i−4i−4i4i0022-2-22-220000−2i2i2i−2i0000000000000000000000000000i6−i6−i6i6−666−60000000000000000000000
χ764-44-4-444-4-2004i−4i−4i4i0022-2-22-220000−2i2i2i−2i0000000000000000000000000000−i6i6i6−i66−6−660000000000000000000000
χ774-44-4-444-4-200−4i4i4i−4i0022-2-22-2200002i−2i−2i2i0000000000000000000000000000i6−i6−i6i66−6−660000000000000000000000
χ784-44-4-444-4-200−4i4i4i−4i0022-2-22-2200002i−2i−2i2i0000000000000000000000000000−i6i6i6−i6−666−60000000000000000000000
χ794-4-444-44-4-24-400004-42-2-2222-200-220000-2200000000004i−4i0000000000−2i2i−2i2i000000000000000000000000000000
χ804-4-444-44-4-24-400004-42-2-2222-200-220000-220000000000−4i4i00000000002i−2i2i−2i000000000000000000000000000000
χ814-4-444-44-4-2-440000-442-2-2222-2002-200002-2000000004i−4i00000000−2i2i−2i2i0000000000000000000000000000000000
χ824-4-444-44-4-2-440000-442-2-2222-2002-200002-200000000−4i4i000000002i−2i2i−2i0000000000000000000000000000000000
χ834-4-44-44-4444-40000-44-4-4-4-4444004-40000-4400000000000000000000000000000000000000000000000000000000
χ844-4-44-44-444-4400004-4-4-4-4-444400-4400004-400000000000000000000000000000000000000000000000000000000
χ854-4-44-44-44-24-40000-442222-2-2-200-2200002-20000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ864-4-44-44-44-24-40000-442222-2-2-200-2200002-200000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ874-4-44-44-44-2-4400004-42222-2-2-2002-20000-22000000000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ884-4-44-44-44-2-4400004-42222-2-2-2002-20000-220000000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ8988-8-888-8-8-400000000-4-4444-44000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-8-888-400000000-44-44-444000000000000000000000000000000000000000000000000000000000000000000

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