Finite Group Databasebeta

← Group #11791380

Character table — Group #11791380

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121288888824242424242424244488121212122424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1111-1-11-111-1-111-1-111-1-11111-1-1-1-11-1ii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ1011-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1111-1-11-111-1-111-1-111-1-11111-1-1-1-11-1−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ1111-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1111-1-1-11-1-111-1-11111-1-1-1-1-1-111111-1ii−i−i1111-1-1-1-1-11−ii-1-111ii−i−i−i−iiiii−i−i−ii
χ1211-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1111-1-1-11-1-111-1-11111-1-1-1-1-1-111111-1−i−iii1111-1-1-1-1-11i−i-1-111−i−iiiii−i−i−i−iiii−i
χ1311-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-1-11ii−i−i-1-1-1-11111-11i−i-1-111ii−i−iii−i−i−i−iii−ii
χ1411-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1111-111-1-111-1-111-1-11111-1-1-1-1-11−i−iii-1-1-1-11111-11−ii-1-111−i−iii−i−iiiii−i−ii−i
χ1511-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111-11ii−i−i-1-1-1-111111-1−ii11-1-1ii−i−i−i−iii−i−iiii−i
χ1611-1-11-11111-1-111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-11-1-111-11-1-111-1-11111-1-1-1-1-1-11111-11−i−iii-1-1-1-111111-1i−i11-1-1−i−iiiii−i−iii−i−i−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-20000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ192222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
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χ27222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ28222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-12222-2-2-2-2-2-21111-1-1-1-111111111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ29222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-200111100000000000000
χ30222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-2-2-2-2-21111-1-1-1-111111111-2-20000111111112200-1-1-1-100000000000000
χ312222-2-2222-2-22-2-222-2-222222-2-2-2-222-2-222-222-22-2-2000000000000002-22-2000000000000000000000000000000000000002-22-200
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χ4022-2-22-222-2-22222-2-2-2-2-2-22222-222-2-2-2-22-2-2-22222-200000000000000-2-2220000000000-222-20000000000000000-222-20000000000
χ4122-2-22-22-122-2-222-2-2-2-211-12-1-11-1-11111-1-1-12-2-211200002-2-1-11122-2-2-1-111-1-1-1-11111002i2i−2i−2i00000000002i−2i0000−i−iii−i−iii000000
χ4222-2-22-22-122-2-222-2-2-2-211-12-1-11-1-11111-1-1-12-2-211200002-2-1-11122-2-2-1-111-1-1-1-1111100−2i−2i2i2i0000000000−2i2i0000ii−i−iii−i−i000000
χ4322-2-22-22-122-2-222-2-2-2-211-12-1-11-1-11111-1-1-12-2-21120000-2211-1-1-2-222-1-1111111-1-1-1-1002i2i−2i−2i0000000000−2i2i0000−i−iiiii−i−i000000
χ4422-2-22-22-122-2-222-2-2-2-211-12-1-11-1-11111-1-1-12-2-21120000-2211-1-1-2-222-1-1111111-1-1-1-100−2i−2i2i2i00000000002i−2i0000ii−i−i−i−iii000000
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χ914-4-440044000000-4400-44-4-440000-4400-40000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ924-4-440044000000-4400-44-4-440000-4400-400000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ934-4-4400-240000−2i32i32-22i3−2i3-44-42-200−2i32i32-22i3−2i320000000022−22−22220000000000000000000000000000−22i6−i62−2−i6i60000000000000000000000
χ944-4-4400-240000−2i32i32-22i3−2i3-44-42-200−2i32i32-22i3−2i3200000000−222222−2200000000000000000000000000002−2−i6i6−22i6−i60000000000000000000000
χ954-4-4400-2400002i3−2i32-2−2i32i3-44-42-2002i3−2i32-2−2i32i320000000022−22−22220000000000000000000000000000−22−i6i62−2i6−i60000000000000000000000
χ964-4-4400-2400002i3−2i32-2−2i32i3-44-42-2002i3−2i32-2−2i32i3200000000−222222−2200000000000000000000000000002−2i6−i6−22−i6i60000000000000000000000
χ978-88-8008-40000008-800-444-8-40000-440040000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000−4i34i3-44−4i34i3-44442002i3−2i32-22i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004i3−4i3-444i3−4i3-4444200−2i32i32-2−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-4000000-88004-44-8-400004-40040000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i34-44i3−4i34-4442002i3−2i3-22−2i32i3-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i34-4−4i34i34-444200−2i32i3-222i3−2i3-20000000000000000000000000000000000000000000000000000000000000000000000

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