Finite Group Databasebeta

← Group #10830661

Character table — Group #10830661

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222344444444666666612121212121212122222448888888812121212121212122424242424242424242424242424242444444466661212121212121212121212122244222444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-11-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-11
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-111-11
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-1-11-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-111111-1-1-11
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-1111-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1111-1-1111-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-111-1-1-11
χ172222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000002222-200-200000000
χ182222222222222-2-2-2-22222222222222220000-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2200200000000
χ19222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-22222-2-20000000000000000000000000000000000000022-2-2200-200000000
χ20222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-22222-2-200000000000000000000000000000000000000-2-222-200200000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ2622222222-1-2-2-2-22222-1-1-1-1-1-1-1111111112222-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000
χ2722222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-2221111-1-1-1-11111-1-1-1-10000000000000000
χ2822222222-1-2-2-2-22222-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-12222-2-21111-1-1-1-1-1-1-1-111110000000000000000
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χ37222-2-2-2-22-1000022-2-2-1-111-111−3−3−3−3333322-2-2002i2i−2i−2i0000-11−3−333-11−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3002i−2i00-1-111−3−333−i−iiii3i3−i3−i30000000000000000
χ38222-2-2-2-22-1000022-2-2-1-111-111−3−3−3−3333322-2-200−2i−2i2i2i0000-11−3−333-11iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i300−2i2i00-1-111−3−333ii−i−i−i3−i3i3i30000000000000000
χ39222-2-2-2-22-1000022-2-2-1-111-111−3−3−3−33333-2-222002i2i−2i−2i0000-11−3−333-11−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i300−2i2i0011-1-133−3−3ii−i−i−i3−i3i3i30000000000000000
χ40222-2-2-2-22-1000022-2-2-1-111-111−3−3−3−33333-2-22200−2i−2i2i2i0000-11−3−333-11iiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3002i−2i0011-1-133−3−3−i−iiii3i3−i3−i30000000000000000
χ4122-22-22-2-222i2i−2i−2i00002-22-2-22-22i2i−2i−2i2i2i−2i−2i0000002−22−2−i2−i2i2i20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000000000002-22i−2i0000002−2−i2i200
χ4222-22-22-2-222i2i−2i−2i00002-22-2-22-22i2i−2i−2i2i2i−2i−2i0000002−22−2−i2−i2i2i20000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000000000-22−2i2i000000−22i2−i200
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χ4422-22-22-2-222i2i−2i−2i00002-22-2-22-22i2i−2i−2i2i2i−2i−2i000000−22−22i2i2−i2−i200000000−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000000000-22−2i2i0000002−2−i2i200
χ4522-22-22-2-22−2i−2i2i2i00002-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000002−22−2i2i2−i2−i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000000002-2−2i2i0000002−2i2−i200
χ4622-22-22-2-22−2i−2i2i2i00002-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000002−22−2i2i2−i2−i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000000000-222i−2i000000−22−i2i200
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χ502-2-222-2-2222-22-22-2-22-2-2-2-22222-22-22-22-200002-200000000222-22-2-2-20000000000000000000000000000000000000000000-220-22000000
χ512-2-222-2-2222-22-2-222-2-2-2-2-22222-22-22-22-22-22-2-2200000000-2-2-22-222200000000000000002-200002-22-22-22-2000000000000000000000000
χ522-2-222-2-2222-22-2-222-2-2-2-2-22222-22-22-22-2-22-22-2200000000-2-2-22-22220000000000000000-220000-22-22-22-22000000000000000000000000
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χ8444-44-44-4-4-2−4i−4i4i4i0000-22-222-222i2i−2i−2i2i2i−2i−2i00000022−2222−222i22i2−2i2−2i200000000−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000
χ8544-44-44-4-4-2−4i−4i4i4i0000-22-222-222i2i−2i−2i2i2i−2i−2i000000−2222−2222−2i2−2i22i22i20000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000
χ8644-4-44-44-44000000004-4-44-4-4400000000000000−2i22i22i2−2i2000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000000000000000
χ8744-4-44-44-44000000004-4-44-4-44000000000000002i2−2i2−2i22i20000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000000000000000
χ8844-4-44-44-4-200000000-222-222-2−2i3−2i32i32i32i32i3−2i3−2i3000000−2i22i22i2−2i2000000000000i2i2−i2−i2−i2−i2i2i2−6−66666−6−600000000000000000000000000000000000000
χ8944-4-44-44-4-200000000-222-222-2−2i3−2i32i32i32i32i3−2i3−2i30000002i2−2i2−2i22i2000000000000−i2−i2i2i2i2i2−i2−i266−6−6−6−66600000000000000000000000000000000000000
χ9044-4-44-44-4-200000000-222-222-22i32i3−2i3−2i3−2i3−2i32i32i3000000−2i22i22i2−2i2000000000000i2i2−i2−i2−i2−i2i2i266−6−6−6−66600000000000000000000000000000000000000
χ9144-4-44-44-4-200000000-222-222-22i32i3−2i3−2i3−2i3−2i32i32i30000002i2−2i2−2i22i2000000000000−i2−i2i2i2i2i2−i2−i2−6−66666−6−600000000000000000000000000000000000000
χ924-444-4-44-444i−4i−4i4i0000-44-44-44-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-444-4-44-44−4i4i4i−4i0000-44-44-44-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-444-4-44-4-24i−4i−4i4i00002-22-22-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000i6−i6−i6i6i6−i6−i6i66−6−666−6−6600000000000000000000000000000000000000
χ954-444-4-44-4-24i−4i−4i4i00002-22-22-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000−i6i6i6−i6−i6i6i6−i6−666−6−666−600000000000000000000000000000000000000
χ964-444-4-44-4-2−4i4i4i−4i00002-22-22-222i−2i−2i2i2i−2i−2i2i0000000000000000000000i6−i6−i6i6i6−i6−i6i6−666−6−666−600000000000000000000000000000000000000
χ974-444-4-44-4-2−4i4i4i−4i00002-22-22-222i−2i−2i2i2i−2i−2i2i0000000000000000000000−i6i6i6−i6−i6i6i6−i66−6−666−6−6600000000000000000000000000000000000000
χ984-44-444-4-4400000000-444-4-4-44000000000000000000−2i22i22i2−2i20000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ994-44-444-4-4400000000-444-4-4-440000000000000000002i2−2i2−2i22i200000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ1004-44-444-4-4-2000000002-2-2222-2−2i32i32i3−2i32i3−2i3−2i32i30000000000−2i22i22i2−2i200000000−666−66−6−66i2−i2−i2i2−i2i2i2−i200000000000000000000000000000000000000
χ1014-44-444-4-4-2000000002-2-2222-2−2i32i32i3−2i32i3−2i3−2i32i300000000002i2−2i2−2i22i2000000006−6−66−666−6−i2i2i2−i2i2−i2−i2i200000000000000000000000000000000000000
χ1024-44-444-4-4-2000000002-2-2222-22i3−2i3−2i32i3−2i32i32i3−2i30000000000−2i22i22i2−2i2000000006−6−66−666−6i2−i2−i2i2−i2i2i2−i200000000000000000000000000000000000000
χ1034-44-444-4-4-2000000002-2-2222-22i3−2i3−2i32i3−2i32i32i3−2i300000000002i2−2i2−2i22i200000000−666−66−6−66−i2i2i2−i2i2−i2−i2i200000000000000000000000000000000000000
χ1044-4-444-4-44-24-44-44-4-442222-2-2-2-22-22-22-2200004-400000000-2-2-22-2222000000000000000000000000000000000000000000000000000000
χ1054-4-444-4-44-2-44-444-4-442222-2-2-22-22-22-22-20000-4400000000-2-22-22-222000000000000000000000000000000000000000000000000000000
χ1064-4-4-4-4444400004-44-4-4-4444-4-400000000000000000000004-40000-44000000000000000000000000000000000000000000000000000000
χ1074-4-4-4-4444-200004-44-422-2-2-22223−2323−23−2323−232300000000000000-2223−23−23232-2000000000000000000000000000000000000000000000000000000
χ1084-4-4-4-4444-200004-44-422-2-2-222−2323−232323−2323−2300000000000000-22−232323−232-2000000000000000000000000000000000000000000000000000000

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