Finite Group Databasebeta

← Group #70979

Character table — Group #70979

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11112222224444448888888888888881212161624242424242424
order122222366644661212224466668812242424244412124444488
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1-1-1-1-1-1
χ3111111111111111111-1-11111-1-11-1-1-1-111-1-1-11-111-1-1
χ4111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11-11-1-111
χ51111111111111111-1-111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-11111
χ71111111111111111-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1111-1-1
χ92222222222-2-222-2-20000000000-2000022000-200000
χ102222222222-2-222-2-20000000000-20000-2-2000200000
χ11222222-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-100-1-10000000
χ12222222-1-1-1-122-1-1-1-122-2-2-1-1-1-1-2-2-1111100110000000
χ13222222-1-1-1-122-1-1-1-1-2-2221111-2-2-1111100-1-10000000
χ14222222-1-1-1-122-1-1-1-1-2-2-2-2111122-1-1-1-1-100110000000
χ152222-2-222222-2-2-222002-2000000-20000002-20000000
χ162222-2-222222-2-2-22200-22000000-2000000-220000000
χ172222-2-22222-22-2-2-2-2000000000020000000020-20000
χ182222-2-22222-22-2-2-2-20000000000200000000-2020000
χ192222-2-2-1-1-1-12-211-1-1002-2−i3−i3i3i3001−i3−i3i3i300-110000000
χ202222-2-2-1-1-1-12-211-1-1002-2i3i3−i3−i3001i3i3−i3−i300-110000000
χ212222-2-2-1-1-1-12-211-1-100-22−i3−i3i3i3001i3i3−i3−i3001-10000000
χ222222-2-2-1-1-1-12-211-1-100-22i3i3−i3−i3001−i3−i3i3i3001-10000000
χ2322-2-2-2222-2-2002-20000000000−i2i20−i2i2−i2i22-20000000−i2i2
χ2422-2-2-2222-2-2002-20000000000−i2i20−i2i2−i2i2-220000000i2−i2
χ2522-2-2-2222-2-2002-20000000000i2−i20i2−i2i2−i22-20000000i2−i2
χ2622-2-2-2222-2-2002-20000000000i2−i20i2−i2i2−i2-220000000−i2i2
χ27444444-2-2-2-2-4-4-2-22200000000002000000000000000
χ284444-4-4-2-2-2-2-4422220000000000-2000000000000000
χ2944-4-44-444-4-400-440000000000000000000000000000
χ3044-4-44-4-2-222002-200000000000006−6−6600000000000
χ3144-4-44-4-2-222002-20000000000000−666−600000000000
χ3244-4-4-44-2-22200-220000000000−2i22i20i2−i2i2−i200000000000
χ3344-4-4-44-2-22200-2200000000002i2−2i20−i2i2−i2i200000000000
χ344-44-4004-44-400000000000000000000000000002i−2i00
χ354-44-4004-44-40000000000000000000000000000−2i2i00
χ364-4-44004-4-440000002-2002-22-2000000000000000000
χ374-4-44004-4-44000000-2200-22-22000000000000000000
χ384-4-4400-222-20000−2i32i32-200−1−i31+i3−1+i31−i3000000000000000000
χ394-4-4400-222-20000−2i32i3-22001+i3−1−i31−i3−1+i3000000000000000000
χ404-4-4400-222-200002i3−2i32-200−1+i31−i3−1−i31+i3000000000000000000
χ414-4-4400-222-200002i3−2i3-22001−i3−1+i31+i3−1−i3000000000000000000
χ428-88-800-44-4400000000000000000000000000000000

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