Finite Group Databasebeta

← Group #11868038

Character table — Group #11868038

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1244222334446666121212121212366666666121212121212121212888824666666666612121212121212121212888888242424242424242424668812122424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-111111-1-11-11111-1-11111-1-1-1-111-1-1-1-11-111-1-11111-1-1-1-11-1111-1-1-111-1-111-1-11-11-11-1
χ1011-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-111111-1-11-11111-1-11111-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-11-111-11-1-1-1-111-1-111-11-11-11
χ1111-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111111-111-1-11111-1-1-1-1-11-1-1-111111-1-1-1-1111-11-1-11
χ1211-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111111-1-1-1111111-1-1-1-1-11-1-11-111-1-11111-1-1-11-111-1
χ1311-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1111-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-11111-11-1-11-11111-1-111-1-1-11-11-11
χ1411-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1111-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-1-1-11111-11-1-1-1111-1-111-1-1111-11-11-1
χ1511-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1111-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-1111-1-1-1-1-1-111111-111-11-1-111-1-1-1-111-11-111-1
χ1611-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1111-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-11-1-111-1-1-1-111111-1111-1-1-1-1-11111-1-11-11-1-11
χ1722222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-122-1-100-1-100000000000000
χ1822222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-12222-2-2-2-211-1-11111-2-211-1-11111220000-1-1-1-1-1-1-1-1-2-211001100000000000000
χ1922222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2000011111111-2-211001100000000000000
χ2022222222-1222-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-2-2-2-2-2-2-2-211-1-11111-2-211-1-11111-2-200001111111122-1-100-1-100000000000000
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χ242222222-1222222-12-1-12222-1-1-1-122-1-1-1-12-1-1-1-1-1-120000-2-211-2-2-1-1111111-2-2-1-1111100-2-2-2-200000000000022001111-1-1-1-1000000
χ2522222-2-2222-2-2222222222222-2-2-2-22222-22222-2-2-20000000000-2-200000000-2-20000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ2622222-2-2222-2-2222222222222-2-2-2-22222-22222-2-2-20000000000-2-200000000-2-2000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ2722222-2-2-122-2-222-12-1-12222-1-111-2-2-1-1-1-1-2-1-1-1-111-2000000−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ2822222-2-2-122-2-222-12-1-12222-1-111-2-2-1-1-1-1-2-1-1-1-111-2000000−i3i30011−i3−i3i3i3−i3i30011−i3−i3i3i300−2i2i−2i2i0000000000000000i−ii−i−33−33000000
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χ3022222-2-2-122-2-222-12-1-12222-1-111-2-2-1-1-1-1-2-1-1-1-111-2000000i3−i30011i3i3−i3−i3i3−i30011i3i3−i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ312222-22-222-22-2-2-2222222-2-22-22-22-2-2-22-2-222-2-22-2222220000002-2000000002-20000-2-2000022-2-222-2-20000000000000000000000
χ322222-22-222-22-2-2-2222222-2-22-22-22-2-2-22-2-222-2-22-22-2-2-2-20000002-2000000002-20000220000-2-222-2-2220000000000000000000000
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χ362222-22-22-1-22-2112-122-1-111-1-22-2-1111-1-21-1-1112-2-1-2-2-2-20000i3−i3-11i3−i3i3−i300i3−i3-11i3−i3i3−i322000011-1-111-1-100−i3i300−i3i300000000000000
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χ4122-2-2222-12-2-2-222-1211-2-2-2-2-1-1-1-122-1-1-11-2111111-2000000−i3i300-1-1−i3−i3i3i3i3−i30011i3i3−i3−i3002i−2i−2i2i0000000000000000−iii−i3−3−33000000
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χ4622-2-22-2-22-1-222-1-12-1-2-21111-12-2-211-1-1-1-2-1111122-122-2-2-22-2-21111111122-1-1-1-1-1-1-1-12-20000-1-1-1-11111-221100-1-100000000000000
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χ4822-2-22-2-22-1-222-1-12-1-2-21111-12-2-211-1-1-1-2-1111122-1-2-222-22-2-21111111122-1-1-1-1-1-1-1-1-2200001111-1-1-1-12-2-1-1001100000000000000
χ4922-2-22-2-2-12-22222-1211-2-2-2-2-1-111-2-2-1-1-1121111-1-1200002-2-1-12211-1-1-1-111-2-2-1-111110022-2-20000000000002-200-1-111-1-111000000
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χ5122-2-22-2-2-12-22222-1211-2-2-2-2-1-111-2-2-1-1-1121111-1-120000-2211-2-2111111-1-122-1-1-1-1-1-10022-2-2000000000000-2200-1-11111-1-1000000
χ5222-2-22-2-2-12-22222-1211-2-2-2-2-1-111-2-2-1-1-1121111-1-120000-2211-2-2111111-1-122-1-1-1-1-1-100-2-2220000000000002-20011-1-1-1-111000000
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χ5522-2-2-2-222222-2-2-222-2-2-2-2222-2-22-22-2-222-2-2-2222-2222-2-2000000-22000000002-20000-22000022-2-2-2-2220000000000000000000000
χ5622-2-2-2-222222-2-2-222-2-2-2-2222-2-22-22-2-222-2-2-2222-22-2-222000000-22000000002-200002-20000-2-22222-2-20000000000000000000000
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χ904-44i−4i0004-20002i3−2i3-424i−4i−2i2i−2323-2000002i3−2i3200−2i2i−2323000−22222i2−2i200000000000000000000000000002−2i6−i6−i2i26−60000000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i−4i4i0040000000-400−4i4i0000022−222i2−2i2000000000000000000000000000022−22002i2−2i2000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i−4i4i0040000000-400−4i4i00000−2222−2i22i20000000000000000000000000000−222200−2i22i2000000000000000000000000
χ934-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-200000−2i32i32002i−2i−232300022−222i2−2i20000000000000000000000000000−22i6−i6−i2i2−660000000000000000000000
χ944-4−4i4i0004-2000−2i32i3-42−4i4i2i−2i−2323-200000−2i32i32002i−2i−2323000−2222−2i22i200000000000000000000000000002−2−i6i6i2−i26−60000000000000000000000
χ954-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-2000002i3−2i32002i−2i23−2300022−222i2−2i20000000000000000000000000000−22−i6i6−i2i26−60000000000000000000000
χ964-4−4i4i0004-20002i3−2i3-42−4i4i2i−2i23−23-2000002i3−2i32002i−2i23−23000−2222−2i22i200000000000000000000000000002−2i6−i6i2−i2−660000000000000000000000
χ978-88i−8i000-48000004-8−4i4i8i−8i00-40000000400−4i4i0000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−432000002i3−2i3-2002i−2i−232300000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4i4i−4343200000−2i32i3-2002i−2i23−2300000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000004-84i−4i−8i8i00-400000004004i−4i0000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−43432000002i3−2i3-200−2i2i23−2300000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−43200000−2i32i3-200−2i2i−232300000000000000000000000000000000000000000000000000000000000000000

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