Finite Group Databasebeta

← Group #10867938

Character table — Group #10867938

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222222222222222244444444448888888888888888888888888888881212121212121212121212121212121216161616242424244848
order122222223444444446666666441212121212121212444444448888121212121212121212122424242424242424224444448888888812121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ51111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ9111111111-1-1-1-111111111111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1
χ10111111111-1-1-1-111111111111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-11
χ11111111111-1-1-1-111111111111-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-11-1-11-1
χ12111111111-1-1-1-111111111111-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11-111-11
χ13111111111-1-1-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1111-11
χ14111111111-1-1-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111-1-1-11-1
χ15111111111-1-1-1-111111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-11-1-1-11
χ16111111111-1-1-1-111111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-1111-1
χ172222222222222-2-2-2-22222222-2-2-2-22222-2-20000000000000000-2-200000000000022220000000000000000-2-20000
χ182222222222222-2-2-2-22222222-2-2-2-22222-2-20000000000000000-2-2000000000000-2-2-2-20000000000000000220000
χ19222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-200000000000000002200000000000022-2-200000000000000002-20000
χ20222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000000022000000000000-2-2220000000000000000-220000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111100000000000000001111000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-11111111111110000000000000000-1-1-1-1000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-11111-1-1-1-1-1-1-1-100000000000000001111000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-122-2-222-2-222-2-2-1-1-1-1111111-1-1-1-11111000000000000000011-1-1000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-122-2-2-2-222-2-222-1-1-1-11111111111-1-1-1-10000000000000000-1-111000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-22222-2-2-2-222111111-1-1-1-11111-1-1-1-1000000000000000011-1-1000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-222-2-22222-2-2111111-1-1-1-1-1-1-1-111110000000000000000-1-111000000
χ292222-2-2-2-2222-2-20000222-2-2-2-2000022-2-200000000002−22−2000000000022−2−222−2−22-22-2000022−2−222−2−20000000000
χ302222-2-2-2-2222-2-20000222-2-2-2-2000022-2-200000000002−22−2000000000022−2−222−2−2-22-220000−2−222−2−2220000000000
χ312222-2-2-2-2222-2-20000222-2-2-2-2000022-2-20000000000−22−220000000000−2−222−2−2222-22-20000−2−222−2−2220000000000
χ322222-2-2-2-2222-2-20000222-2-2-2-2000022-2-20000000000−22−220000000000−2−222−2−222-22-22000022−2−222−2−20000000000
χ332222-2-2-2-22-2-2220000222-2-2-2-20000-2-22200000000002−2−22000000000022−2−2−2−2222-2-220000−2−22222−2−20000000000
χ342222-2-2-2-22-2-2220000222-2-2-2-20000-2-22200000000002−2−22000000000022−2−2−2−222-222-2000022−2−2−2−2220000000000
χ352222-2-2-2-22-2-2220000222-2-2-2-20000-2-2220000000000−222−20000000000−2−22222−2−22-2-22000022−2−2−2−2220000000000
χ362222-2-2-2-22-2-2220000222-2-2-2-20000-2-2220000000000−222−20000000000−2−22222−2−2-222-20000−2−22222−2−20000000000
χ3722-2-2-222-222i−2i2i−2i2-2-222-2-22-2-222i−2i2-22i−2i2i−2i2-200002-22i−2i000000002i−2i00000000000000000000000000002i−2i2-2000000
χ3822-2-2-222-222i−2i2i−2i2-2-222-2-22-2-222i−2i2-22i−2i2i−2i2-20000-22−2i2i000000002i−2i0000000000000000000000000000−2i2i-22000000
χ3922-2-2-222-222i−2i2i−2i-222-22-2-22-2-22−2i2i-222i−2i2i−2i-220000000000000000−2i2i00000000000000002i2i−2i−2i000000000000002-200
χ4022-2-2-222-222i−2i2i−2i-222-22-2-22-2-22−2i2i-222i−2i2i−2i-220000000000000000−2i2i0000000000000000−2i−2i2i2i00000000000000-2200
χ4122-2-2-222-22−2i2i−2i2i2-2-222-2-22-2-22−2i2i2-2−2i2i−2i2i2-200002-2−2i2i00000000−2i2i0000000000000000000000000000−2i2i2-2000000
χ4222-2-2-222-22−2i2i−2i2i2-2-222-2-22-2-22−2i2i2-2−2i2i−2i2i2-20000-222i−2i00000000−2i2i00000000000000000000000000002i−2i-22000000
χ4322-2-2-222-22−2i2i−2i2i-222-22-2-22-2-222i−2i-22−2i2i−2i2i-2200000000000000002i−2i00000000000000002i2i−2i−2i00000000000000-2200
χ4422-2-2-222-22−2i2i−2i2i-222-22-2-22-2-222i−2i-22−2i2i−2i2i-2200000000000000002i−2i0000000000000000−2i−2i2i2i000000000000002-200
χ4522-2-2-222-2-12i−2i2i−2i2-2-22-111-111-12i−2i-11−ii−ii-1100002-22i−2i000033−3−3−ii−i3−i3i3i33−33−3−i3i3−i3i30000000000000000−ii-11000000
χ4622-2-2-222-2-12i−2i2i−2i2-2-22-111-111-12i−2i-11−ii−ii-1100002-22i−2i0000−3−333−iii3i3−i3−i3−33−33i3−i3i3−i30000000000000000−ii-11000000
χ4722-2-2-222-2-12i−2i2i−2i2-2-22-111-111-12i−2i-11−ii−ii-110000-22−2i2i000033−3−3−ii−i3−i3i3i3−33−33i3−i3i3−i30000000000000000i−i1-1000000
χ4822-2-2-222-2-12i−2i2i−2i2-2-22-111-111-12i−2i-11−ii−ii-110000-22−2i2i0000−3−333−iii3i3−i3−i33−33−3−i3i3−i3i30000000000000000i−i1-1000000
χ4922-2-2-222-2-1−2i2i−2i2i2-2-22-111-111-1−2i2i-11i−ii−i-1100002-2−2i2i000033−3−3i−ii3i3−i3−i33−33−3i3−i3i3−i30000000000000000i−i-11000000
χ5022-2-2-222-2-1−2i2i−2i2i2-2-22-111-111-1−2i2i-11i−ii−i-1100002-2−2i2i0000−3−333i−i−i3−i3i3i3−33−33−i3i3−i3i30000000000000000i−i-11000000
χ5122-2-2-222-2-1−2i2i−2i2i2-2-22-111-111-1−2i2i-11i−ii−i-110000-222i−2i000033−3−3i−ii3i3−i3−i3−33−33−i3i3−i3i30000000000000000−ii1-1000000
χ5222-2-2-222-2-1−2i2i−2i2i2-2-22-111-111-1−2i2i-11i−ii−i-110000-222i−2i0000−3−333i−i−i3−i3i3i33−33−3i3−i3i3−i30000000000000000−ii1-1000000
χ532-22-2-22-222000022-2-2-2-222-22-2002-20000-222i−2i00000000002i−2i2i−2i0000000000000000002-22-22i−2i2i−2i00000000000000
χ542-22-2-22-222000022-2-2-2-222-22-2002-20000-222i−2i00000000002i−2i2i−2i000000000000000000-22-22−2i2i−2i2i00000000000000
χ552-22-2-22-222000022-2-2-2-222-22-2002-20000-22−2i2i0000000000−2i2i−2i2i0000000000000000002-22-2−2i2i−2i2i00000000000000
χ562-22-2-22-222000022-2-2-2-222-22-2002-20000-22−2i2i0000000000−2i2i−2i2i000000000000000000-22-222i−2i2i−2i00000000000000
χ572-2-2222-2-220000-22-22-22-222-2-200-2-2000022002i−2i000000000000002i−2i2i−2i0000000000002i−2i−2i2i00002-22-20000000000
χ582-2-2222-2-220000-22-22-22-222-2-200-2-2000022002i−2i000000000000002i−2i2i−2i000000000000−2i2i2i−2i0000-22-220000000000
χ592-2-2222-2-220000-22-22-22-222-2-200-2-200002200−2i2i00000000000000−2i2i−2i2i0000000000002i−2i−2i2i0000-22-220000000000
χ602-2-2222-2-220000-22-22-22-222-2-200-2-200002200−2i2i00000000000000−2i2i−2i2i000000000000−2i2i2i−2i00002-22-20000000000
χ6144444444-24444-4-4-4-4-2-2-2-2-2-2-2-4-422-2-2-2-22200000000000000002200000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244222222220000000000000000-2-200000000000000000000000000000000000000
χ634444-4-4-4-4-244-4-40000-2-2-222220000-2-222000000000022−2222−220000000000−2−222−2−22200000000000000000000000000
χ644444-4-4-4-4-244-4-40000-2-2-222220000-2-2220000000000−2222−2222000000000022−2−222−2−200000000000000000000000000
χ654444-4-4-4-4-2-4-4440000-2-2-22222000022-2-2000000000022−22−22220000000000−2−22222−2−200000000000000000000000000
χ664444-4-4-4-4-2-4-4440000-2-2-22222000022-2-20000000000−222222−22000000000022−2−2−2−22200000000000000000000000000
χ6744-4-44-4-4444i−4i−4i4i00004-4-4-444-400004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ6844-4-44-4-444−4i4i4i−4i00004-4-4-444-40000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ6944-4-44-4-44-24i−4i−4i4i0000-2222-2-220000−2i2i2i−2i0000000000000000000000006−6−66−i6i6i6−i600000000000000000000000000
χ7044-4-44-4-44-24i−4i−4i4i0000-2222-2-220000−2i2i2i−2i000000000000000000000000−666−6i6−i6−i6i600000000000000000000000000
χ7144-4-44-4-44-2−4i4i4i−4i0000-2222-2-2200002i−2i−2i2i0000000000000000000000006−6−66i6−i6−i6i600000000000000000000000000
χ7244-4-44-4-44-2−4i4i4i−4i0000-2222-2-2200002i−2i−2i2i000000000000000000000000−666−6−i6i6i6−i600000000000000000000000000
χ7344-4-4-444-4-24i−4i4i−4i-444-4-222-222-2−4i4i2-2−2i2i−2i2i2-200000000000000002i−2i00000000000000000000000000000000000000
χ7444-4-4-444-4-2−4i4i−4i4i-444-4-222-222-24i−4i2-22i−2i2i−2i2-20000000000000000−2i2i00000000000000000000000000000000000000
χ754-44-44-44-4400000000-4-44-44-44000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000
χ764-44-44-44-4400000000-4-44-44-440000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ774-44-4-44-4440000-4-444-4-444-44-400-4400004-400000000000000000000000000000000000000000000000000000000
χ784-44-4-44-44-2000044-4-422-2-22-2200-2200002-24i−4i0000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ794-44-4-44-44-2000044-4-422-2-22-2200-2200002-2−4i4i00000000002i−2i2i−2i0000000000000000000000000000000000000000
χ804-44-4-44-44-20000-4-44422-2-22-22002-20000-2200000000000000000023−23−23230000000000000000000000000000000000
χ814-44-4-44-44-20000-4-44422-2-22-22002-20000-22000000000000000000−232323−230000000000000000000000000000000000
χ824-4-4444-4-4400004-44-4-44-444-4-400440000-4-400000000000000000000000000000000000000000000000000000000
χ834-4-4444-4-4-200004-44-42-22-2-22200-2-2000022000000000000−2i32i32i3−2i30000000000000000000000000000000000000000
χ844-4-4444-4-4-200004-44-42-22-2-22200-2-20000220000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
χ854-4-4444-4-4-20000-44-442-22-2-22200220000-2-2004i−4i00000000000000−2i2i−2i2i0000000000000000000000000000000000
χ864-4-4444-4-4-20000-44-442-22-2-22200220000-2-200−4i4i000000000000002i−2i2i−2i0000000000000000000000000000000000
χ874-4-44-4-444400000000-44-4-4-444000000000000000000000000000000000000000000000000000022−22−22220000000000
χ884-4-44-4-444400000000-44-4-4-4440000000000000000000000000000000000000000000000000000−222222−220000000000
χ898-88-88-88-8-40000000044-44-44-4000000000000000000000000000000000000000000000000000000000000000000
χ908-8-88-8-888-4000000004-4444-4-4000000000000000000000000000000000000000000000000000000000000000000

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