Finite Group Databasebeta

← Group #78813

Character table — Group #78813

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222244444444446688888121212121224111122222244444444446688888121212121224
order12223446664488121224242424444121212122248842222644666448812122424242444412121212224884
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111-1-11111111111-1-1-1-1-1-1-1111-11111111111-1-11111111111-1-1-1-1-1-1-1111-1
χ61111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111111111-1-111111111-1-1-1-1-1-1-111-1-1-11
χ71111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-1
χ922222-2-22220000-2-20000220000000-200022222-2-22220000-2-20000220000000-2000
χ1022222-2-22220000-2-20000-2-20000000200022222-2-22220000-2-20000-2-200000002000
χ112222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000
χ122222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-111000000
χ132222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000
χ142222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000
χ152-22-2200-22-200−i2i200−i2−i2i2i22-200000000−i2i202-22-2200-22-200−i2i200−i2−i2i2i22-200000000−i2i20
χ162-22-2200-22-200−i2i200−i2−i2i2i2-2200000000i2−i202-22-2200-22-200−i2i200−i2−i2i2i2-2200000000i2−i20
χ172-22-2200-22-200i2−i200i2i2−i2−i22-200000000i2−i202-22-2200-22-200i2−i200i2i2−i2−i22-200000000i2−i20
χ182-22-2200-22-200i2−i200i2i2−i2−i2-2200000000−i2i202-22-2200-22-200i2−i200i2i2−i2−i2-2200000000−i2i20
χ192-2-2222-2-2-222i−2i002-200000002i−2i000000002-2-2222-2-2-222i−2i002-200000002i−2i00000000
χ202-2-2222-2-2-22−2i2i002-20000000−2i2i000000002-2-2222-2-2-22−2i2i002-20000000−2i2i00000000
χ212-2-222-22-2-220000-22000000000002-200002-2-222-22-2-220000-22000000000002-20000
χ222-2-222-22-2-220000-2200000000000-2200002-2-222-22-2-220000-2200000000000-220000
χ232-2-22-12-211-12i−2i00-113−33−3000−ii−i3i30000002-2-22-12-211-12i−2i00-113−33−3000−ii−i3i3000000
χ242-2-22-12-211-12i−2i00-11−33−33000−iii3−i30000002-2-22-12-211-12i−2i00-11−33−33000−iii3−i3000000
χ252-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i3000000
χ262-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i3000000
χ274444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000
χ2844-4-44004-4-40000000000000000000000044-4-44004-4-400000000000000000000000
χ2944-4-4-200-222000000i6−i6−i6i6000000000000044-4-4-200-222000000i6−i6−i6i60000000000000
χ3044-4-4-200-222000000−i6i6i6−i6000000000000044-4-4-200-222000000−i6i6i6−i60000000000000
χ314-44-4-2002-2200−2i22i200i2i2−i2−i200000000000004-44-4-2002-2200−2i22i200i2i2−i2−i20000000000000
χ324-44-4-2002-22002i2−2i200−i2−i2i2i200000000000004-44-4-2002-22002i2−2i200−i2−i2i2i20000000000000
χ334-4-44-2-4422-200002-2000000000000000004-4-44-2-4422-200002-200000000000000000
χ34111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ36111111111111-1-111-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-1111
χ37111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111111-1-1-1
χ381111111111-1-11111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11
χ391111111111-1-111111111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1111-1
χ401111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-111-1
χ411111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-1-1-11-1-11
χ4222222-2-22220000-2-20000220000000-2000-2-2-2-2-222-2-2-20000220000-2-200000002000
χ4322222-2-22220000-2-20000-2-200000002000-2-2-2-2-222-2-2-20000220000220000000-2000
χ442222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000-2-2-2-21-2-2111-2-2-2-211111100-21111000000
χ452222-122-1-1-122-2-2-1-1111100-2-1-111000000-2-2-2-21-2-2111-2-22211-1-1-1-100211-1-1000000
χ462222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000-2-2-2-21-2-211122-2-2111111002-1-1-1-1000000
χ472222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000-2-2-2-21-2-2111222211-1-1-1-100-2-1-111000000
χ482-22-2200-22-200−i2i200−i2−i2i2i22-200000000−i2i20-22-22-2002-2200i2−i200i2i2−i2−i2-2200000000i2−i20
χ492-22-2200-22-200−i2i200−i2−i2i2i2-2200000000i2−i20-22-22-2002-2200i2−i200i2i2−i2−i22-200000000−i2i20
χ502-22-2200-22-200i2−i200i2i2−i2−i22-200000000i2−i20-22-22-2002-2200−i2i200−i2−i2i2i2-2200000000−i2i20
χ512-22-2200-22-200i2−i200i2i2−i2−i2-2200000000−i2i20-22-22-2002-2200−i2i200−i2−i2i2i22-200000000i2−i20
χ522-2-2222-2-2-222i−2i002-200000002i−2i00000000-222-2-2-2222-2−2i2i00-220000000−2i2i00000000
χ532-2-2222-2-2-22−2i2i002-20000000−2i2i00000000-222-2-2-2222-22i−2i00-2200000002i−2i00000000
χ542-2-222-22-2-220000-22000000000002-20000-222-2-22-222-200002-200000000000-220000
χ552-2-222-22-2-220000-2200000000000-220000-222-2-22-222-200002-2000000000002-20000
χ562-2-22-12-211-12i−2i00-113−33−3000−ii−i3i3000000-222-21-22-1-11−2i2i001-1−33−33000i−ii3−i3000000
χ572-2-22-12-211-12i−2i00-11−33−33000−iii3−i3000000-222-21-22-1-11−2i2i001-13−33−3000i−i−i3i3000000
χ582-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i3000000-222-21-22-1-112i−2i001-1−33−33000−ii−i3i3000000
χ592-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i3000000-222-21-22-1-112i−2i001-13−33−3000−iii3−i3000000
χ604444-2-4-4-2-2-200002200000000000000000-4-4-4-42442220000-2-200000000000000000
χ6144-4-44004-4-400000000000000000000000-4-444-400-44400000000000000000000000
χ6244-4-4-200-222000000i6−i6−i6i60000000000000-4-4442002-2-2000000−i6i6i6−i60000000000000
χ6344-4-4-200-222000000−i6i6i6−i60000000000000-4-4442002-2-2000000i6−i6−i6i60000000000000
χ644-44-4-2002-2200−2i22i200i2i2−i2−i20000000000000-44-44200-22-2002i2−2i200−i2−i2i2i20000000000000
χ654-44-4-2002-22002i2−2i200−i2−i2i2i20000000000000-44-44200-22-200−2i22i200i2i2−i2−i20000000000000
χ664-4-44-2-4422-200002-200000000000000000-444-424-4-2-220000-2200000000000000000

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