Finite Group Databasebeta

← Group #11713885

Character table — Group #11713885

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224466668888881212161616161616242424242424242424243232323248484848
order1222448822442346668812122424242444444488886612124488
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111-11-111111111111-111-1111111-1-1-1-1-1-1-1-1
χ4111111111111-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111111-1111-1-111-1-1-1-1-1111-1-1-1-11111-1-1-111-1
χ6111111-1-1111111-1111-1-111-1-1-1-1-1-1-111111-1-111-1-11-1-11
χ7111111-1-11111-111111-1-111-1-1-1-1111-1-1-1-1-111-1-1111-1-11
χ8111111-1-11111-111111-1-111-1-1-1-11-1-1-11111-1-1-1-111-111-1
χ92222222222222-12-1-1-122-1-1-1-1-1-12002000000-1-1-1-10000
χ10222222222222-2-1-2-1-1-122-1-1-1-1-1-1-200-200000011110000
χ11222222-2-222222-1-2-1-1-1-2-2-1-11111-2002000000-1-1110000
χ12222222-2-22222-2-12-1-1-1-2-2-1-11111200-200000011-1-10000
χ132222-2-200-2-22202022200-2-2000002-2000002-200000000
χ142222-2-200-2-22202022200-2-200000-2200000-2200000000
χ152-2-222-2002-22-2020-22-200-22000000002i−2i2i−2i0000000000
χ162-2-222-2002-22-2020-22-200-2200000000−2i2i−2i2i0000000000
χ172-2-22-222i−2i-222-2020-22-22i−2i2-22i2i−2i−2i000000000000000000
χ182-2-22-222i−2i-222-20-101-112i−2i-11−i−iii0000000000−i3i33−30000
χ192-2-22-222i−2i-222-20-101-112i−2i-11−i−iii0000000000i3−i3−330000
χ202-2-22-22−2i2i-222-2020-22-2−2i2i2-2−2i−2i2i2i000000000000000000
χ212-2-22-22−2i2i-222-20-101-11−2i2i-11ii−i−i0000000000−i3i3−330000
χ222-2-22-22−2i2i-222-20-101-11−2i2i-11ii−i−i0000000000i3−i33−30000
χ2333333333-1-1-1-1303000-1-1000000-111-1-1-111-1-1000011-1-1
χ2433333333-1-1-1-1303000-1-1000000-1-1-1-111-1-1110000-1-111
χ2533333333-1-1-1-1-30-3000-1-10000001111-1-111-1-10000-1-111
χ2633333333-1-1-1-1-30-3000-1-10000001-1-1111-1-111000011-1-1
χ27333333-3-3-1-1-1-130-300011000000111-111-1-1-1-10000-11-11
χ28333333-3-3-1-1-1-130-3000110000001-1-1-1-1-1111100001-11-1
χ29333333-3-3-1-1-1-1-30300011000000-111111-1-1-1-100001-11-1
χ30333333-3-3-1-1-1-1-30300011000000-1-1-11-1-111110000-11-11
χ314444-4-400-4-4440-20-2-2-200220000000000000000000000
χ324-4-444-4004-44-40-202-22002-20000000000000000000000
χ336666-6-60022-2-20000000000000002-200000-2200000000
χ346666-6-60022-2-2000000000000000-22000002-200000000
χ356-6-666-600-22-220000000000000000002i−2i−2i2i0000000000
χ366-6-666-600-22-22000000000000000000−2i2i2i−2i0000000000
χ376-6-66-666i−6i2-2-22000000−2i2i000000000000000000000000
χ386-6-66-66−6i6i2-2-220000002i−2i000000000000000000000000
χ3988-8-8000000000202-2-200006−66−6000000000000000000
χ4088-8-8000000000202-2-20000−66−66000000000000000000
χ4188-8-8000000000-40-44400000000000000000000000000
χ428-88-800000000020-2-220000i6−i6−i6i6000000000000000000
χ438-88-800000000020-2-220000−i6i6i6−i6000000000000000000
χ448-88-8000000000-4044-400000000000000000000000000

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