Finite Group Databasebeta

← Group #11923774

Character table — Group #11923774

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222233336666666612121212121212121212323232323232323232323232363636363636363672727272
order12443612122244224466121224666612121212333666121212121212888888882444
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11-11-1
χ411-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-11-11
χ5222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ62222-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-1000000000000
χ72222-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-1000000000000
χ82222-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-122000000000000
χ922-2-222-2-222-2-2-2-22222-2-2-22-2-2-2-22222-1-1-1-1-1-1111111000000000000
χ1022-2-2-1-11122-2-2-2-222-1-111-221111-1-1-1-12-1-12-1-1-2-21111000000000000
χ1122-2-2-1-11122-2-2-2-222-1-111-221111-1-1-1-1-12-1-12-111-2-211000000000000
χ1222-2-2-1-11122-2-2-2-222-1-111-221111-1-1-1-1-1-12-1-121111-2-2000000000000
χ132-22i−2i2-22i−2i2-22i−2i00002-22i−2i0000000000-1-1-1111i−ii−ii−i−i2−i2i2i222−2−20000
χ142-22i−2i2-22i−2i2-22i−2i00002-22i−2i0000000000-1-1-1111i−ii−ii−ii2i2−i2−i2−2−2220000
χ152-2−2i2i2-2−2i2i2-2−2i2i00002-2−2i2i0000000000-1-1-1111−ii−ii−ii−i2−i2i2i2−2−2220000
χ162-2−2i2i2-2−2i2i2-2−2i2i00002-2−2i2i0000000000-1-1-1111−ii−ii−iii2i2−i2−i222−2−20000
χ17333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-100000000000011111111-1-1-1-1
χ18333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-11111
χ1933333333-1-1-1-13-13-1-1-1-1-1-1-13-1-1-13-1-1-10000000000001-11-11-11-111-1-1
χ2033333333-1-1-1-13-13-1-1-1-1-1-1-13-1-1-13-1-1-1000000000000-11-11-11-11-1-111
χ2133333333-1-1-1-1-13-13-1-1-1-1-1-1-13-1-1-13-1-10000000000001-11-11-11-1-1-111
χ2233333333-1-1-1-1-13-13-1-1-1-1-1-1-13-1-1-13-1-1000000000000-11-11-11-1111-1-1
χ2333-3-333-3-333-3-311-1-133-3-31-11111-1-1-1-10000000000001111-1-1-1-1-11-11
χ2433-3-333-3-333-3-311-1-133-3-31-11111-1-1-1-1000000000000-1-1-1-111111-11-1
χ2533-3-333-3-3-1-1111-3-13-1-1111-11-311-13-1-10000000000001-11-1-11-11-111-1
χ2633-3-333-3-3-1-1111-3-13-1-1111-11-311-13-1-1000000000000-11-111-11-11-1-11
χ2733-3-333-3-3-1-111-313-1-1-1111-1-31113-1-1-10000000000001-11-1-11-111-1-11
χ2833-3-333-3-3-1-111-313-1-1-1111-1-31113-1-1-1000000000000-11-111-11-1-111-1
χ294-44i−4i4-44i−4i4-44i−4i00004-44i−4i0000000000111-1-1-1−ii−ii−ii000000000000
χ304-44i−4i-22−2i2i4-44i−4i0000-22−2i2i000000000011-2-1-12−ii−ii2i−2i000000000000
χ314-44i−4i-22−2i2i4-44i−4i0000-22−2i2i00000000001-21-12-1−ii2i−2i−ii000000000000
χ324-44i−4i-22−2i2i4-44i−4i0000-22−2i2i0000000000-2112-1-12i−2i−ii−ii000000000000
χ334-4−4i4i4-4−4i4i4-4−4i4i00004-4−4i4i0000000000111-1-1-1i−ii−ii−i000000000000
χ344-4−4i4i-222i−2i4-4−4i4i0000-222i−2i000000000011-2-1-12i−ii−i−2i2i000000000000
χ354-4−4i4i-222i−2i4-4−4i4i0000-222i−2i00000000001-21-12-1i−i−2i2ii−i000000000000
χ364-4−4i4i-222i−2i4-4−4i4i0000-222i−2i0000000000-2112-1-1−2i2ii−ii−i000000000000
χ3766666666-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222000000000000000000000000
χ386666-3-3-3-36666-2-2-2-2-3-3-3-3-2-211111111000000000000000000000000
χ396666-3-3-3-3-2-2-2-26-26-21111-2-2-3111-3111000000000000000000000000
χ406666-3-3-3-3-2-2-2-2-26-261111-2-21-3111-311000000000000000000000000
χ416666-3-3-3-3-2-2-2-2-2-2-2-211112211−1−2i3−1+2i311−1−2i3−1+2i3000000000000000000000000
χ426666-3-3-3-3-2-2-2-2-2-2-2-211112211−1+2i3−1−2i311−1+2i3−1−2i3000000000000000000000000
χ4366-6-666-6-6-2-22222-2-2-2-222-2222-2-2-2-222000000000000000000000000
χ4466-6-6-3-33366-6-622-2-2-3-3332-2-1-1-1-11111000000000000000000000000
χ4566-6-6-3-333-2-22222-2-211-1-1-22-1-11−2i31+2i311−1+2i3−1−2i3000000000000000000000000
χ4666-6-6-3-333-2-22222-2-211-1-1-22-1-11+2i31−2i311−1−2i3−1+2i3000000000000000000000000
χ4766-6-6-3-333-2-2222-6-2611-1-12-2-13-1-11-311000000000000000000000000
χ4866-6-6-3-333-2-222-626-211-1-12-23-1-1-1-3111000000000000000000000000
χ496-66i−6i6-66i−6i-22−2i2i0000-22−2i2i0000000000000000000000−i2i2i2−i22−2−220000
χ506-66i−6i6-66i−6i-22−2i2i0000-22−2i2i0000000000000000000000i2−i2−i2i2−222−20000
χ516-6−6i6i6-6−6i6i-222i−2i0000-222i−2i0000000000000000000000−i2i2i2−i2−222−20000
χ526-6−6i6i6-6−6i6i-222i−2i0000-222i−2i0000000000000000000000i2−i2−i2i22−2−220000
χ5312-1212i−12i-66−6i6i-44−4i4i00002-22i−2i0000000000000000000000000000000000
χ5412-12−12i12i-666i−6i-444i−4i00002-2−2i2i0000000000000000000000000000000000

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