Finite Group Databasebeta

← Group #79151

Character table — Group #79151

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122222244444444446688888121212121224111122222244444444446688888121212121224
order12223446664488121224242424224121212124448822222644666448812122424242422412121212444882
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
χ51111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11
χ71111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-1
χ922222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-200000
χ1022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-200000200000
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
χ152-22-222-2-22-22i−2i00-2200000002i−2i000000002-22-222-2-22-22i−2i00-2200000002i−2i00000000
χ162-22-222-2-22-2−2i2i00-220000000−2i2i000000002-22-222-2-22-2−2i2i00-220000000−2i2i00000000
χ172-22-22-22-22-200002-20000000000002i−2i0002-22-22-22-22-200002-20000000000002i−2i000
χ182-22-22-22-22-200002-2000000000000−2i2i0002-22-22-22-22-200002-2000000000000−2i2i000
χ192-22-2-12-21-112i−2i001-1−i3−i3i3i3000−ii3−30000002-22-2-12-21-112i−2i001-1−i3−i3i3i3000−ii3−3000000
χ202-22-2-12-21-112i−2i001-1i3i3−i3−i3000−ii−330000002-22-2-12-21-112i−2i001-1i3i3−i3−i3000−ii−33000000
χ212-22-2-12-21-11−2i2i001-1−i3−i3i3i3000i−i−330000002-22-2-12-21-11−2i2i001-1−i3−i3i3i3000i−i−33000000
χ222-22-2-12-21-11−2i2i001-1i3i3−i3−i3000i−i3−30000002-22-2-12-21-11−2i2i001-1i3i3−i3−i3000i−i3−3000000
χ232-2-22200-2-22002−2002−22−22-2000000002−202-2-22200-2-22002−2002−22−22-2000000002−20
χ242-2-22200-2-22002−2002−22−2-2200000000−2202-2-22200-2-22002−2002−22−2-2200000000−220
χ252-2-22200-2-2200−2200−22−222-200000000−2202-2-22200-2-2200−2200−22−222-200000000−220
χ262-2-22200-2-2200−2200−22−22-22000000002−202-2-22200-2-2200−2200−22−22-22000000002−20
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
χ314-44-4-2-442-220000-22000000000000000004-44-4-2-442-220000-2200000000000000000
χ324-4-44-20022-20022−2200−22−2200000000000004-4-44-20022-20022−2200−22−220000000000000
χ334-4-44-20022-200−2222002−22−200000000000004-4-44-20022-200−2222002−22−20000000000000
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
χ381111111111-1-11111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-11
χ391111111111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1
χ401111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-11111-1
χ411111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-11-1-1-1-11
χ4222222-2-22220000-2-200002200000-200000-2-2-2-2-222-2-2-20000220000-2-200000200000
χ4322222-2-22220000-2-20000-2-200000200000-2-2-2-2-222-2-2-200002200002200000-200000
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
χ482-22-222-2-22-22i−2i00-2200000002i−2i00000000-22-22-2-222-22−2i2i002-20000000−2i2i00000000
χ492-22-222-2-22-2−2i2i00-220000000−2i2i00000000-22-22-2-222-222i−2i002-200000002i−2i00000000
χ502-22-22-22-22-200002-20000000000002i−2i000-22-22-22-22-220000-22000000000000−2i2i000
χ512-22-22-22-22-200002-2000000000000−2i2i000-22-22-22-22-220000-220000000000002i−2i000
χ522-22-2-12-21-112i−2i001-1−i3−i3i3i3000−ii3−3000000-22-221-22-11-1−2i2i00-11i3i3−i3−i3000i−i−33000000
χ532-22-2-12-21-112i−2i001-1i3i3−i3−i3000−ii−33000000-22-221-22-11-1−2i2i00-11−i3−i3i3i3000i−i3−3000000
χ542-22-2-12-21-11−2i2i001-1−i3−i3i3i3000i−i−33000000-22-221-22-11-12i−2i00-11i3i3−i3−i3000−ii3−3000000
χ552-22-2-12-21-11−2i2i001-1i3i3−i3−i3000i−i3−3000000-22-221-22-11-12i−2i00-11−i3−i3i3i3000−ii−33000000
χ562-2-22200-2-22002−2002−22−22-2000000002−20-222-2-20022-200−2200−22−22-2200000000−220
χ572-2-22200-2-22002−2002−22−2-2200000000−220-222-2-20022-200−2200−22−222-2000000002−20
χ582-2-22200-2-2200−2200−22−222-200000000−220-222-2-20022-2002−2002−22−2-22000000002−20
χ592-2-22200-2-2200−2200−22−22-22000000002−20-222-2-20022-2002−2002−22−22-200000000−220
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
χ644-44-4-2-442-220000-2200000000000000000-44-4424-4-22-200002-200000000000000000
χ654-4-44-20022-20022−2200−22−220000000000000-444-4200-2-2200−2222002−22−20000000000000
χ664-4-44-20022-200−2222002−22−20000000000000-444-4200-2-220022−2200−22−220000000000000

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