Finite Group Databasebeta

← Group #13170644

Character table — Group #13170644

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222222233444444444444444444444446666666666688888888888812121212121212121212121212121212121212121212121224242424242424242424242436363636363636363636363636367272108108
order12233344666661212443336666666661212121212121212121212224661212121212123666612121212121212222466666666666661212121212121266666666612121224446688121212121212242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111111-1-111111-1-1111111-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-1-1111-1-1-1-11111-1-1111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ6111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-11-1-1111-1-111-1-1-1-1-1-111
χ7111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-1-1-1-11111-1-111
χ8111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ911-1111-11-1-1111-1-111111-1-1-1-1-1-1111-111-111-1-1-1-111-1-1-1-11111-1-11-1-1-111-1111-1-11-11-11-111-1-111111-1-1-1-1-111-1-11-111111-1-1-1-1-1-11-11-1-11-11111-1-11-11-1
χ1011-1111-11-1-1111-1-111111-1-1-1-1-1-1111-111-111-1-1-1-111-1-1-1-11111-1-11-1-1-111-1111-1-11-1-111-111-1-11-1-111-1-1-11111-1-11-1-1-1-111-1-111111-1-111-11-1-111-1-1-11-11
χ1111-1111-11-1-1111-1-111111-1-1-1-1-1-1111-111-111-1-1-1-111-1-1-1-11111-1-11-1-1-111-1111-1-1-111-11-1-1-11111111-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-1111-1-111-11-11
χ1211-1111-11-1-1111-1-111111-1-1-1-1-1-1111-111-111-1-1-1-111-1-1-1-11111-1-11-1-1-111-1111-1-1-11-111-1-1-1111-1-111-1-1-11111-1-1-11-1-1-1-1-1111111-11-1111-1-1-1-1-1111-11-1
χ1311-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-1111-111-111-1-1-1-11-11111-1-1-1-1111-1-1-111-1111-1-11-11-1-1111-1-1-111-1-1111-1-1-1-1111-111111-1-1-1-1-11-11-1111-1-1-1-1-1111-1-11
χ1411-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-1111-111-111-1-1-1-11-11111-1-1-1-1111-1-1-111-1111-1-11-1-11-1111-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1111-1-111-1-1-1111-1-111-111-1
χ1511-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-1111-111-111-1-1-1-11-11111-1-1-1-1111-1-1-111-1111-1-1-111-1-11-1-111-111-1-1111-1-1-1-111-11111-1-111-1-1-111-1-111-11-1-111-1-1-111-1
χ1611-1111-11-1-1111-1-1-1-1111-1-1-1-1-1-1111-111-111-1-1-1-11-11111-1-1-1-1111-1-1-111-1111-1-1-11-11-11-1-111-1-1-1-1-111111-1-111-11-1-1-1-1-111111-11-11-1-11-11111-1-11-1-11
χ17222222-2-222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2-222222222222-2-2-2-2-2-2-20000-2-20000-200-2-2-2-22002222000000000000000000000000000000
χ18222222-2-222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-222-222-2-2-2-2-2-222222-2-2-2-2-2-2-200002200002002222-200-2-2-2-2000000000000000000000000000000
χ1922222-122222-12-1-122-1-122-1-1-1222-1-12-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-122-1-1-1-1-10022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1002-1-100002-1-12002-1-100-1-100000000
χ2022222-122222-12-1-122-1-122-1-1-1222-1-12-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-122-1-1-1-1-100-2-2220000-111-1-1-1-1-111-1-1-1-100-2110000-211-200-211001100000000
χ2122222-122222-12-1-1-2-2-1-122-1-1-1222-1-12-122-1-1-1-1-1-12-2-2-21111-2-2-2-2-1-1-1-1-122-1-1-1-1-10022-2-200001-1-111111-1-11111002-1-100002-1-1-200-211001100000000
χ2222222-122222-12-1-1-2-2-1-122-1-1-1222-1-12-122-1-1-1-1-1-12-2-2-21111-2-2-2-2-1-1-1-1-122-1-1-1-1-100-2-2-2-200001111111111111100-2110000-2112002-1-100-1-100000000
χ2322222-1-2-2222-121122-1-122-1-1-1222-1-1-21-2-2111111-2-2-2211-1-12222-1-1-1-1-1-2-2111110000-2-200001−i3i31111-1−i3i3-1-1-1-1000−i3i300000−i3i30000−i3i300−i3i300000000
χ2422222-1-2-2222-121122-1-122-1-1-1222-1-1-21-2-2111111-2-2-2211-1-12222-1-1-1-1-1-2-2111110000-2-200001i3−i31111-1i3−i3-1-1-1-1000i3−i300000i3−i30000i3−i300i3−i300000000
χ2522222-1-2-2222-1211-2-2-1-122-1-1-1222-1-1-21-2-2111111-222-2-1-111-2-2-2-2-1-1-1-1-1-2-2111110000220000-1−i3i3-1-1-1-11−i3i31111000−i3i300000−i3i30000i3−i300i3−i300000000
χ2622222-1-2-2222-1211-2-2-1-122-1-1-1222-1-1-21-2-2111111-222-2-1-111-2-2-2-2-1-1-1-1-1-2-2111110000220000-1i3−i3-1-1-1-11i3−i31111000i3−i300000i3−i30000−i3i300−i3i300000000
χ272222-122222-12222002-1-1-1222-1-1-12-1-12222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1222200222202200000220000-1-1-1-1-1-1-1-1-1-1-1-100000022000000-1-100
χ282222-122222-12222002-1-1-1222-1-1-12-1-12222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-20022220-2-200000-2-20000-1-1111-1-1-1-1111000000-2-20000001100
χ292222-122222-12222002-1-1-1222-1-1-12-1-12222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-22200-2-2-2-20220000022000011-1-1-11111-1-1-1000000-2-20000001100
χ302222-122222-12222002-1-1-1222-1-1-12-1-12222222-1-1-100000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-20-2-200000-2-2000011111111111100000022000000-1-100
χ31222-12222-1-122-12222-12-122-1-1-1-1-1-1222-1-1-1-1-1-12222222222-1-1-1-1-12-1-1-1-1-12-1-1-1-12200-1-1-1-1-1-1200-1-1-1-1200-1-1-1-122000-1-1-1-10000220000000-1-1-1-10000
χ32222-12222-1-122-12222-12-122-1-1-1-1-1-1222-1-1-1-1-1-12222222222-1-1-1-1-12-1-1-1-1-12-1-1-1-1-2-200-1-11111200-1-1-1-1200-1-1-1-1-2-200011110000-2-2000000011110000
χ33222-12222-1-122-122-2-2-12-122-1-1-1-1-1-1222-1-1-1-1-1-1222-2-2-2-2-2-2-21111-12-1-1-1-1-12-1-1-1-1220011-1-1-1-1-2001111-200111122000-1-1-1-10000-2-2000000011110000
χ34222-12222-1-122-122-2-2-12-122-1-1-1-1-1-1222-1-1-1-1-1-1222-2-2-2-2-2-2-21111-12-1-1-1-1-12-1-1-1-1-2-200111111-2001111-2001111-2-200011110000220000000-1-1-1-10000
χ35222-122-2-2-1-122-1-2-222-12-122-1-1-1-1-1-12-2-2111111-2-2-2-2-22-2-222-1-1-1-1-12-1-1-111-21111000011−i3i3−i3i3-2001111200-1-1-1-100000−i3i3−i3i30000000000000−i3i3−i3i30000
χ36222-122-2-2-1-122-1-2-222-12-122-1-1-1-1-1-12-2-2111111-2-2-2-2-22-2-222-1-1-1-1-12-1-1-111-21111000011i3−i3i3−i3-2001111200-1-1-1-100000i3−i3i3−i30000000000000i3−i3i3−i30000
χ37222-122-2-2-1-122-1-2-2-2-2-12-122-1-1-1-1-1-12-2-2111111-2-2-222-222-2-21111-12-1-1-111-211110000-1-1−i3i3−i3i3200-1-1-1-1-200111100000−i3i3−i3i30000000000000i3−i3i3−i30000
χ38222-122-2-2-1-122-1-2-2-2-2-12-122-1-1-1-1-1-12-2-2111111-2-2-222-222-2-21111-12-1-1-111-211110000-1-1i3−i3i3−i3200-1-1-1-1-200111100000i3−i3i3−i30000000000000−i3i3−i3i30000
χ3922-22222-2-2-22222222222-2-2-2-2-2-22222-2-22-2-22222-2-22-2222222-2-22-2-2-22-22-2-2-2220000-220000-200-2-222-20022-2-2000000000000000000000000000000
χ4022-22222-2-2-222222-2-2222-2-2-2-2-2-22222-2-22-2-22222-22-22-2-2-2-2-2-2222-2-2-22-22-2-2-22200002-2000020022-2-2200-2-222000000000000000000000000000000
χ4122-222-12-2-2-22-12-1-122-1-12-2111-2-22-1-121-2211-1-1-1-1-2-22-2-1-1-1-122-2-2-1111-1-22111-1-10000-2200001−i3i311-1-11i3−i3-1-111000−i3i300000i3−i30000i3−i300−i3i300000000
χ4222-222-12-2-2-22-12-1-122-1-12-2111-2-22-1-121-2211-1-1-1-1-2-22-2-1-1-1-122-2-2-1111-1-22111-1-10000-2200001i3−i311-1-11−i3i3-1-111000i3−i300000−i3i30000−i3i300i3−i300000000
χ4322-222-12-2-2-22-12-1-1-2-2-1-12-2111-2-22-1-121-2211-1-1-1-1-22-221111-2-222-1111-1-22111-1-100002-20000-1−i3i3-1-111-1i3−i311-1-1000−i3i300000i3−i30000−i3i300i3−i300000000
χ4422-222-12-2-2-22-12-1-1-2-2-1-12-2111-2-22-1-121-2211-1-1-1-1-22-221111-2-222-1111-1-22111-1-100002-20000-1i3−i3-1-111-1−i3i311-1-1000i3−i300000−i3i30000i3−i300−i3i300000000
χ4522-222-1-22-2-22-121122-1-12-2111-2-22-1-1-2-12-2-1-1111122-2-211-1-122-2-2-1111-12-2-1-1-111002-22-20000-1-1-1-1-111111-1-111002-1-10000-211-20021100-1-100000000
χ4622-222-1-22-2-22-121122-1-12-2111-2-22-1-1-2-12-2-1-1111122-2-211-1-122-2-2-1111-12-2-1-1-11100-222-20000-111-1-1111-1-1-1-11100-21100002-1-1200-2-1-1001100000000
χ4722-222-1-22-2-22-1211-2-2-1-12-2111-2-22-1-1-2-12-2-1-111112-222-1-111-2-222-1111-12-2-1-1-111002-2-2200001-1-111-1-1-11111-1-1002-1-10000-211200-2-1-1001100000000
χ4822-222-1-22-2-22-1211-2-2-1-12-2111-2-22-1-1-2-12-2-1-111112-222-1-111-2-222-1111-12-2-1-1-11100-22-22000011111-1-1-1-1-111-1-100-21100002-1-1-20021100-1-100000000
χ4922-22-12-22-2-2-122-2-2002-1-11-2-2-211-12-1122-222-2-211-100000000000-1111-1-11-1-1-1112-22-20022-2-202200000-2-20000-11-1-1-1-1-1111110000002-2000000-1100
χ5022-22-12-22-2-2-122-2-2002-1-11-2-2-211-12-1122-222-2-211-100000000000-1111-1-11-1-1-1112-2-220022-2-20-2-200000220000-11111-1-111-1-1-1000000-220000001-100
χ5122-22-12-22-2-2-122-2-2002-1-11-2-2-211-12-1122-222-2-211-100000000000-1111-1-11-1-1-111-222-200-2-22202200000-2-200001-1-1-1-111-1-1111000000-220000001-100
χ5222-22-12-22-2-2-122-2-2002-1-11-2-2-211-12-1122-222-2-211-100000000000-1111-1-11-1-1-111-22-2200-2-2220-2-2000002200001-111111-1-1-1-1-10000002-2000000-1100
χ5322-2-1222-21122-12222-12-1-2-21111-1-122-21-111-1-122-2-22-22222-1-111-1-211-11-1-211-1-100001-1−i3i3i3−i3-20011-1-1-200-1-11100000−i3i3i3−i30000000000000−i3i3i3−i30000
χ5422-2-1222-21122-12222-12-1-2-21111-1-122-21-111-1-122-2-22-22222-1-111-1-211-11-1-211-1-100001-1i3−i3−i3i3-20011-1-1-200-1-11100000i3−i3−i3i30000000000000i3−i3−i3i30000
χ5522-2-1222-21122-122-2-2-12-1-2-21111-1-122-21-111-1-122-22-22-2-2-2-211-1-1-1-211-11-1-211-1-10000-11−i3i3i3−i3200-1-11120011-1-100000−i3i3i3−i30000000000000i3−i3−i3i30000
χ5622-2-1222-21122-122-2-2-12-1-2-21111-1-122-21-111-1-122-22-22-2-2-2-211-1-1-1-211-11-1-211-1-10000-11i3−i3−i3i3200-1-11120011-1-100000i3−i3−i3i30000000000000−i3i3i3−i30000
χ5722-2-122-221122-1-2-222-12-1-2-21111-1-12-22-11-1-111-2-222-2-2-2-222-1-111-1-211-1-112-1-1112-200-11-1-111200-1-111-200-1-1112-2000-1-11100002-20000000-1-1110000
χ5822-2-122-221122-1-2-222-12-1-2-21111-1-12-22-11-1-111-2-222-2-2-2-222-1-111-1-211-1-112-1-111-2200-1111-1-1200-1-111-200-1-111-2200011-1-10000-22000000011-1-10000
χ5922-2-122-221122-1-2-2-2-2-12-1-2-21111-1-12-22-11-1-111-2-22-22222-2-211-1-1-1-211-1-112-1-1112-2001-1-1-111-20011-1-120011-1-12-2000-1-1110000-22000000011-1-10000
χ6022-2-122-221122-1-2-2-2-2-12-1-2-21111-1-12-22-11-1-111-2-22-22222-2-211-1-1-1-211-1-112-1-111-22001-111-1-1-20011-1-120011-1-1-2200011-1-100002-20000000-1-1110000
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χ624444-2-24444-2-24-2-200-21-2-2-2-2-2-2-2-2-21-2-244-2-2-2-211-20000000000011111-2-21111100440000000-2-200000-2-2000000-2110000-211000000000000000000
χ634444-2-24444-2-24-2-200-21-2-2-2-2-2-2-2-2-21-2-244-2-2-2-211-20000000000011111-2-21111100-4-400000002200000220000002-1-100002-1-1000000000000000000
χ644444-2-2-4-444-2-242200-21-2-2-2-2-2-2-2-2-2122-4-42222-1-12000000000001111122-1-1-1-1-100000000000−2i32i300000−2i32i30000000i3−i300000i3−i3000000000000000000
χ654444-2-2-4-444-2-242200-21-2-2-2-2-2-2-2-2-2122-4-42222-1-12000000000001111122-1-1-1-1-1000000000002i3−2i3000002i3−2i30000000−i3i300000−i3i3000000000000000000
χ66444-24-244-2-24-2-2-2-2441-2-24-211-2-2-21-24-2-2-21111-2-24444-2-2-2-2-2-2-2-21-2111-2-2-211110000-2-20000-2001111-2001111000000000000000000000000000000
χ67444-24-244-2-24-2-2-2-2-4-41-2-24-211-2-2-21-24-2-2-21111-2-24-4-4-4222222221-2111-2-2-211110000220000200-1-1-1-1200-1-1-1-1000000000000000000000000000000
χ68444-24-2-4-4-2-24-2-222441-2-24-211-2-2-21-2-4222-1-1-1-122-4-4-4422-2-2-2-2-2-21-2111222-1-1-1-10000220000200-1-1-1-1-2001111000000000000000000000000000000
χ69444-24-2-4-4-2-24-2-222-4-41-2-24-211-2-2-21-2-4222-1-1-1-122-444-4-2-22222221-2111222-1-1-1-10000-2-20000-2001111200-1-1-1-1000000000000000000000000000000
χ70444-2-2444-2-2-24-24400-2-21-24-2-2111-2-2-24-2-2-2-2-2-2-2-2-2000000000001-211111-21111440000-2-2-2-200000000000000-2-20001111000000000000000000000
χ71444-2-2444-2-2-24-24400-2-21-24-2-2111-2-2-24-2-2-2-2-2-2-2-2-2000000000001-211111-21111-4-4000022220000000000000022000-1-1-1-1000000000000000000000
χ72444-2-24-4-4-2-2-24-2-4-400-2-21-24-2-2111-2-22-4222222222000000000001-2111-1-12-1-1-1-1000000−2i32i3−2i32i30000000000000000000i3−i3i3−i3000000000000000000000
χ73444-2-24-4-4-2-2-24-2-4-400-2-21-24-2-2111-2-22-4222222222000000000001-2111-1-12-1-1-1-10000002i3−2i32i3−2i30000000000000000000−i3i3−i3i3000000000000000000000
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Here i is the imaginary unit (i² = −1).