Finite Group Databasebeta

← Group #10827338

Character table — Group #10827338

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order12222222222234444666666666666666444444888888881212121212121212242424242424242424242424242424242222446666666612121212121212122244224444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1111-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-11-1-111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11-111-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11-11111-1-1-11
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χ182222222222222-2-2-2-2222222222222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2002200000000
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χ20222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-22211111111-1-1-1-1-1-1-1-10000000000000000
χ21222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ22222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-1-1-1-1-1-1-1-1111111110000000000000000
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χ2822222222-2-2-2-2-12222-1-1-1-1-111111111-1-1-2-2-2-2-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-122-2-222-1-1-1-111111111-1-1-1-10000000000000000
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χ81444-4-4-4-444-4-44-200002-22-22-222-22-2-222-20000000000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000
χ82444-4-4-4-44-444-440000-44-44-4-444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ83444-4-4-4-44-444-4-200002-22-222-2-22-222-22-20000000000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000000000
χ84444-4-4-4-44-444-4-200002-22-222-2-22-222-22-20000000000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000000000
χ8544-44-4-44-4000040000-444-4400000000-4-4000000−2i22i22i2−2i2000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ8644-44-4-44-4000040000-444-4400000000-4-40000002i2−2i2−2i22i20000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ8744-44-4-44-40000-200002-2-22-2−2i32i32i3−2i3−2i32i32i3−2i322000000−2i22i22i2−2i2000000000000i2−i2−i2i2i2−i2−i2i2−666−6−666−600000000000000000000000000000000000000
χ8844-44-4-44-40000-200002-2-22-2−2i32i32i3−2i3−2i32i32i3−2i3220000002i2−2i2−2i22i2000000000000−i2i2i2−i2−i2i2i2−i26−6−666−6−6600000000000000000000000000000000000000
χ8944-44-4-44-40000-200002-2-22-22i3−2i3−2i32i32i3−2i3−2i32i322000000−2i22i22i2−2i2000000000000i2−i2−i2i2i2−i2−i2i26−6−666−6−6600000000000000000000000000000000000000
χ9044-44-4-44-40000-200002-2-22-22i3−2i3−2i32i32i3−2i3−2i32i3220000002i2−2i2−2i22i2000000000000−i2i2i2−i2−i2i2i2−i2−666−6−666−600000000000000000000000000000000000000
χ9144-4-444-4-400004-44-4444-4-4-4000000004-400000000000000-4-4400004000000000000000000000000000000000000000000000000000000
χ9244-4-444-4-40000-2-44-44-2-2222−2i3−2i3−2i3−2i32i32i32i32i3-220000000000000022-22i32i3−2i3−2i3-2000000000000000000000000000000000000000000000000000000
χ9344-4-444-4-40000-2-44-44-2-22222i32i32i32i3−2i3−2i3−2i3−2i3-220000000000000022-2−2i3−2i32i32i3-2000000000000000000000000000000000000000000000000000000
χ944-444-44-4-40000400004-4-44400000000-4-40000000000−2i22i22i2−2i20000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ954-444-44-4-40000400004-4-44400000000-4-400000000002i2−2i2−2i22i200000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ964-444-44-4-40000-20000-222-2-2−2i32i3−2i32i32i3−2i32i3−2i3220000000000−2i22i22i2−2i200000000−66−666−66−6i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000000000
χ974-444-44-4-40000-20000-222-2-2−2i32i3−2i32i32i3−2i32i3−2i32200000000002i2−2i2−2i22i2000000006−66−6−66−66−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000000000
χ984-444-44-4-40000-20000-222-2-22i3−2i32i3−2i3−2i32i3−2i32i3220000000000−2i22i22i2−2i2000000006−66−6−66−66i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000000000
χ994-444-44-4-40000-20000-222-2-22i3−2i32i3−2i3−2i32i3−2i32i32200000000002i2−2i2−2i22i200000000−66−666−66−6−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000000000
χ1004-44-44-44-400004-444-4-4-444-4000000004-400000000000000-44-400004000000000000000000000000000000000000000000000000000000
χ1014-44-44-44-40000-2-444-422-2-22−2i3−2i32i32i3−2i3−2i32i32i3-22000000000000002-222i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000
χ1024-44-44-44-40000-2-444-422-2-222i32i3−2i3−2i32i32i3−2i3−2i3-22000000000000002-22−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000
χ1034-4-444-4-4444-4-4-2-4-4442222-2-2-22222-2-2-2-2-440000000000002-2-22-2-222000000000000000000000000000000000000000000000000000000
χ1044-4-444-4-44-4-444-2-4-4442222-222-2-2-2-222-2-24-40000000000002-2-2-222-22000000000000000000000000000000000000000000000000000000
χ1054-4-4-4-44444-44-4-20000-22-222-22-22-22-222-200000022−2222−2222−2222−2200000000−22−22−22−22−22−22−22−2200000000000000000000000000000000000000
χ1064-4-4-4-44444-44-4-20000-22-222-22-22-22-222-2000000−2222−2222−2222−2222000000002−22−22−22−22−22−22−22−200000000000000000000000000000000000000
χ1074-4-4-4-4444-44-44-20000-22-2222-22-22-22-22-200000022−2222−22−2222−222200000000−22−22−22−222−22−22−22−200000000000000000000000000000000000000
χ1084-4-4-4-4444-44-44-20000-22-2222-22-22-22-22-2000000−2222−222222−2222−22000000002−22−22−22−2−22−22−22−2200000000000000000000000000000000000000

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