Finite Group Databasebeta

← Group #72227809

Character table — Group #72227809

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
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χ726666-6-6-6-600000000-2-2-2-2-2-22222226-20000-620000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ736666-6-6-6-600000000-2-2-2-2-2-2222222-2600002-600002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ746666-6-6-6-600000000-2-2-2-2-2-2222222-2600002-60000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ756666-6-6-6-66666-6-6-6-666-2-2-2-22222-6-6-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000
χ766666-6-6-6-6-6-6-6-6666666-2-2-2-22222-6-6-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000
χ771212-12-1212i12i−12i−12i66-6-66i6i−6i−6i0000-4400−4i4i0000-2-22200−2i−2i2i2i000000000000000000000000000000000000000000000000
χ781212-12-1212i12i−12i−12i-6-666−6i−6i6i6i0000-4400−4i4i000022-2-2002i2i−2i−2i000000000000000000000000000000000000000000000000
χ791212-12-12−12i−12i12i12i66-6-6−6i−6i6i6i0000-44004i−4i0000-2-222002i2i−2i−2i000000000000000000000000000000000000000000000000
χ801212-12-12−12i−12i12i12i-6-6666i6i−6i−6i0000-44004i−4i000022-2-200−2i−2i2i2i000000000000000000000000000000000000000000000000
χ8112-1212-1212i−12i12i−12i6-66-66i−6i6i−6i00-4400−4i4i000000-22-2200−2i2i−2i2i000000000000000000000000000000000000000000000000
χ8212-1212-1212i−12i12i−12i-66-66−6i6i−6i6i00-4400−4i4i0000002-22-2002i−2i2i−2i000000000000000000000000000000000000000000000000
χ8312-1212-12−12i12i−12i12i6-66-6−6i6i−6i6i00-44004i−4i000000-22-22002i−2i2i−2i000000000000000000000000000000000000000000000000
χ8412-1212-12−12i12i−12i12i-66-666i−6i6i−6i00-44004i−4i0000002-22-200−2i2i−2i2i000000000000000000000000000000000000000000000000
χ8512-12-121212-12-121200000000-4400000000-44004-4-44004-4-44000000000000000000000000000000000000000000000000
χ8612-12-121212-12-121200000000-4400000000-4400-444-400-444-4000000000000000000000000000000000000000000000000
χ8712-12-1212-121212-1200000000-44000000004-4004-4-4400-444-4000000000000000000000000000000000000000000000000
χ8812-12-1212-121212-1200000000-44000000004-400-444-4004-4-44000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.