Finite Group Databasebeta

← Group #10842607

Character table — Group #10842607

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121216161616161624242424242424242424
order122222223444444446666666444444121212121212121244888812121212121212121212242424242424242444448888888844121212122224444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111
χ711111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-11111
χ811111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-1-111111-1-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-111-1-1111-1-1-1-1-111
χ11111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-1-111-1-1-1111-1-111
χ12111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-11-1-111111-1-1-111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1111-1-1-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1-1-11111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1111-1-111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-11-1-1-111-1-111
χ172222222222222-2-2-2-22222222-2-200002222-2-2-2-2000000-2-20000000000000000222200000000000000-200-2000000
χ182222222222222-2-2-2-22222222-2-200002222-2-2-2-2000000-2-20000000000000000-2-2-2-2000000000000002002000000
χ19222222222-2-2-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-200000022000000000000000022-2-200000000000000200-2000000
χ20222222222-2-2-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2000000220000000000000000-2-22200000000000000-2002000000
χ2122222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111000000000000-2-211110000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-22222-1-111111111-1-1-1-1-1-1-1-1000000000000-2-211110000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1111111111111111100000000000022-1-1-1-10000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222221111-1-1-1-1-2-222-2-2111111-1-1-1-1-1-1-1-111110000000000002-2-1-1110000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-222221111-1-1-1-1-2-2-2-222111111-1-1-1-11111-1-1-1-1000000000000-2211-1-10000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12222-2-211-1-1-1-11111-1-1-1-11111000000000000-2211-1-10000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-2-22211-1-1-1-111111111-1-1-1-10000000000002-2-1-1110000000000
χ29222-2-2-2-2222i2i−2i−2i2-2-2222-2-2-2-222i−2i22-2-22i2i−2i−2i2-22-22i−2i00002i−2i2i2i−2i−2i22-2-2000000000000000000000000000000000000
χ30222-2-2-2-2222i2i−2i−2i2-2-2222-2-2-2-222i−2i-2-2222i2i−2i−2i2-22-2−2i2i00002i−2i−2i−2i2i2i-2-222000000000000000000000000000000000000
χ31222-2-2-2-2222i2i−2i−2i-222-222-2-2-2-22−2i2i00002i2i−2i−2i-22-22000000−2i2i000000000000000000000000000000000002-202i−2i0000
χ32222-2-2-2-2222i2i−2i−2i-222-222-2-2-2-22−2i2i00002i2i−2i−2i-22-22000000−2i2i00000000000000000000000000000000000-220−2i2i0000
χ33222-2-2-2-222−2i−2i2i2i2-2-2222-2-2-2-22−2i2i22-2-2−2i−2i2i2i2-22-2−2i2i0000−2i2i−2i−2i2i2i22-2-2000000000000000000000000000000000000
χ34222-2-2-2-222−2i−2i2i2i2-2-2222-2-2-2-22−2i2i-2-222−2i−2i2i2i2-22-22i−2i0000−2i2i2i2i−2i−2i-2-222000000000000000000000000000000000000
χ35222-2-2-2-222−2i−2i2i2i-222-222-2-2-2-222i−2i0000−2i−2i2i2i-22-220000002i−2i000000000000000000000000000000000002-20−2i2i0000
χ36222-2-2-2-222−2i−2i2i2i-222-222-2-2-2-222i−2i0000−2i−2i2i2i-22-220000002i−2i00000000000000000000000000000000000-2202i−2i0000
χ37222-2-2-2-22-12i2i−2i−2i2-2-22-1-11111-12i−2i22-2-2−i−iii-11-112i−2i0000−ii−i−iii-1-11133−3−3−i3−i3i3i3000000000000003−3−i3i30000000000
χ38222-2-2-2-22-12i2i−2i−2i2-2-22-1-11111-12i−2i22-2-2−i−iii-11-112i−2i0000−ii−i−iii-1-111−3−333i3i3−i3−i300000000000000−33i3−i30000000000
χ39222-2-2-2-22-12i2i−2i−2i2-2-22-1-11111-12i−2i-2-222−i−iii-11-11−2i2i0000−iiii−i−i11-1-133−3−3−i3−i3i3i300000000000000−33i3−i30000000000
χ40222-2-2-2-22-12i2i−2i−2i2-2-22-1-11111-12i−2i-2-222−i−iii-11-11−2i2i0000−iiii−i−i11-1-1−3−333i3i3−i3−i3000000000000003−3−i3i30000000000
χ41222-2-2-2-22-1−2i−2i2i2i2-2-22-1-11111-1−2i2i22-2-2ii−i−i-11-11−2i2i0000i−iii−i−i-1-11133−3−3i3i3−i3−i3000000000000003−3i3−i30000000000
χ42222-2-2-2-22-1−2i−2i2i2i2-2-22-1-11111-1−2i2i22-2-2ii−i−i-11-11−2i2i0000i−iii−i−i-1-111−3−333−i3−i3i3i300000000000000−33−i3i30000000000
χ43222-2-2-2-22-1−2i−2i2i2i2-2-22-1-11111-1−2i2i-2-222ii−i−i-11-112i−2i0000i−i−i−iii11-1-133−3−3i3i3−i3−i300000000000000−33−i3i30000000000
χ44222-2-2-2-22-1−2i−2i2i2i2-2-22-1-11111-1−2i2i-2-222ii−i−i-11-112i−2i0000i−i−i−iii11-1-1−3−333−i3−i3i3i3000000000000003−3i3−i30000000000
χ4522-2-222-2-222i−2i2i−2i00002-2-2-222-20000002i−2i2i−2i000000−i2i22−20000000000−i2i2−i2i22−22−22-22i−2i−i2−i2i2i222−2−20000000000000000
χ4622-2-222-2-222i−2i2i−2i00002-2-2-222-20000002i−2i2i−2i000000−i2i22−20000000000−i2i2−i2i22−22−2-22−2i2ii2i2−i2−i2−2−2220000000000000000
χ4722-2-222-2-222i−2i2i−2i00002-2-2-222-20000002i−2i2i−2i000000i2−i2−220000000000i2−i2i2−i2−22−222-22i−2ii2i2−i2−i2−2−2220000000000000000
χ4822-2-222-2-222i−2i2i−2i00002-2-2-222-20000002i−2i2i−2i000000i2−i2−220000000000i2−i2i2−i2−22−22-22−2i2i−i2−i2i2i222−2−20000000000000000
χ4922-2-222-2-22−2i2i−2i2i00002-2-2-222-2000000−2i2i−2i2i000000−i2i2−220000000000−i2i2−i2i2−22−222-2−2i2i−i2−i2i2i2−2−2220000000000000000
χ5022-2-222-2-22−2i2i−2i2i00002-2-2-222-2000000−2i2i−2i2i000000−i2i2−220000000000−i2i2−i2i2−22−22-222i−2ii2i2−i2−i222−2−20000000000000000
χ5122-2-222-2-22−2i2i−2i2i00002-2-2-222-2000000−2i2i−2i2i000000i2−i22−20000000000i2−i2i2−i22−22−22-2−2i2ii2i2−i2−i222−2−20000000000000000
χ5222-2-222-2-22−2i2i−2i2i00002-2-2-222-2000000−2i2i−2i2i000000i2−i22−20000000000i2−i2i2−i22−22−2-222i−2i−i2−i2i2i2−2−2220000000000000000
χ532-2-22-22-2220000-2-222-2-2-22-222002-22-20000-222-20000000000002-22-20000000000002-22-200000000000000002-200
χ542-2-22-22-2220000-2-222-2-2-22-222002-22-20000-222-20000000000002-22-2000000000000-22-220000000000000000-2200
χ552-2-22-22-2220000-2-222-2-2-22-22200-22-220000-222-2000000000000-22-220000000000002-22-20000000000000000-2200
χ562-2-22-22-2220000-2-222-2-2-22-22200-22-220000-222-2000000000000-22-22000000000000-22-2200000000000000002-200
χ572-2-2-22-22220000-22-22-2-22-22-22002-2-220000-2-2220000000000002-2-2200000000000000002-22-2000000000000002-2
χ582-2-2-22-22220000-22-22-2-22-22-22002-2-220000-2-2220000000000002-2-220000000000000000-22-2200000000000000-22
χ592-2-2-22-22220000-22-22-2-22-22-2200-222-20000-2-222000000000000-222-200000000000000002-22-200000000000000-22
χ602-2-2-22-22220000-22-22-2-22-22-2200-222-20000-2-222000000000000-222-20000000000000000-22-22000000000000002-2
χ6144444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-40000-2-2-2-222220000002200000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244000022222222000000-2-200000000000000000000000000000000000000000000
χ63444-4-4-4-44-24i4i−4i−4i-444-4-2-22222-2−4i4i0000−2i−2i2i2i2-22-20000002i−2i00000000000000000000000000000000000000000000
χ64444-4-4-4-44-2−4i−4i4i4i-444-4-2-22222-24i−4i00002i2i−2i−2i2-22-2000000−2i2i00000000000000000000000000000000000000000000
χ6544-44-4-44-444-4-4400004-444-4-4-40000004-4-4400000000000000000000000000000000000000000000000000000000
χ6644-44-4-44-44-444-400004-444-4-4-4000000-444-400000000000000000000000000000000000000000000000000000000
χ6744-44-4-44-4-24-4-440000-22-2-2222000000-222-200000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ6844-44-4-44-4-24-4-440000-22-2-2222000000-222-200000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ6944-44-4-44-4-2-444-40000-22-2-22220000002-2-2200000000000000000000i6−i6−i6i6i6−i6−i6i60000000000000000000000000000
χ7044-44-4-44-4-2-444-40000-22-2-22220000002-2-2200000000000000000000−i6i6i6−i6−i6i6i6−i60000000000000000000000000000
χ7144-4-444-4-4-24i−4i4i−4i0000-2222-2-22000000−2i2i−2i2i000000−2i22i222−220000000000i2−i2i2−i2−22−220000000000000000000000000000
χ7244-4-444-4-4-24i−4i4i−4i0000-2222-2-22000000−2i2i−2i2i0000002i2−2i2−22220000000000−i2i2−i2i22−22−20000000000000000000000000000
χ7344-4-444-4-4-2−4i4i−4i4i0000-2222-2-220000002i−2i2i−2i000000−2i22i2−22220000000000i2−i2i2−i22−22−20000000000000000000000000000
χ7444-4-444-4-4-2−4i4i−4i4i0000-2222-2-220000002i−2i2i−2i0000002i2−2i222−220000000000−i2i2−i2i2−22−220000000000000000000000000000
χ754-4444-4-4-4400000000-44-444-4-4000000000000000000000000000000000000000000000022−22−22220000000000000000
χ764-4444-4-4-4400000000-44-444-4-40000000000000000000000000000000000000000000000−222222−220000000000000000
χ774-44-4-444-4400000000-444-4-44-4000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ784-44-4-444-4400000000-444-4-44-40000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ794-4-44-44-444000044-4-4-4-4-44-44400000000004-4-440000000000000000000000000000000000000000000000000000
χ804-4-44-44-44-2000044-4-4222-22-2-20000000000-222-200000000−2i32i3−2i32i30000000000000000000000000000000000000000
χ814-4-44-44-44-2000044-4-4222-22-2-20000000000-222-2000000002i3−2i32i3−2i30000000000000000000000000000000000000000
χ824-4-44-44-44-20000-4-444222-22-2-2004-44-400002-2-22000000000000-22-22000000000000000000000000000000000000
χ834-4-44-44-44-20000-4-444222-22-2-200-44-4400002-2-220000000000002-22-2000000000000000000000000000000000000
χ844-4-4-44-444400004-44-4-4-44-44-44000000000044-4-40000000000000000000000000000000000000000000000000000
χ854-4-4-44-444-200004-44-422-22-22-20000000000-2-2220000000023−23−23230000000000000000000000000000000000000000
χ864-4-4-44-444-200004-44-422-22-22-20000000000-2-22200000000−232323−230000000000000000000000000000000000000000
χ874-4-4-44-444-20000-44-4422-22-22-2004-4-44000022-2-2000000000000-222-2000000000000000000000000000000000000
χ884-4-4-44-444-20000-44-4422-22-22-200-444-4000022-2-20000000000002-2-22000000000000000000000000000000000000
χ898-8888-8-8-8-4000000004-44-4-444000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-888-8-4000000004-4-444-44000000000000000000000000000000000000000000000000000000000000000000

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