Finite Group Databasebeta

← Group #11922161

Character table — Group #11922161

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112222444666688881212121212121212121216161616161616161616242424242424242424243636363648484848727272
order12223666266444436664444881212121236666666662668121224242424248812121212248
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111-1-1111111111-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111-1-11111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111
χ511111111-1-1-111111111-111-1111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-11-11111-1-11-1-1
χ611111111-1-1-111111111-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-111
χ711111111-1-1-1-1-1111111-1111111-1-111-1-1111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-111-111
χ811111111-1-1-1-1-1111111-1-1-11-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-1111-1-1111-1-1
χ9222222222222222-1-1-1-12002002222-1-1-1-1-1-1-1-1-1-100000000002200-1-1-1-1000
χ1022222222222-2-222-1-1-1-1200-2002222-1-1-1-1-1-1-1-1-1-10000000000-2-2001111000
χ1122222222-2-2-22222-1-1-1-1-200-2002-2-22-111-1-1-1111100000000002-200-1-111000
χ1222222222-2-2-2-2-222-1-1-1-1-2002002-2-22-111-1-1-111110000000000-220011-1-1000
χ132222-1-1-1-12-1-100222222222022-1-1-1-1-122-1-1-1-1-1-1-12-1-12-1-1-1-1-1-100000000000
χ142222-1-1-1-12-1-1002222222-2-20-2-2-1-1-1-1-122-1-1-1-1-1-1-1-211-211111100000000000
χ152222-1-1-1-1-21100222222-222022-111-1-1-2-2-1-1-11111-211-2-1-1-1-11100000000000
χ162222-1-1-1-1-21100222222-2-2-20-2-2-111-1-1-2-2-1-1-111112-1-121111-1-100000000000
χ172-22-22-2-2200000-222-22-202-202-2-20022002-2-2000000002-22-20000000000000
χ182-22-22-2-2200000-222-22-20-220-22-20022002-2-200000000-22-220000000000000
χ192-22-2-111-10−i3i300-222-22-202-202-21−i3i3-1-100-111−i3−i3i3i30−i3i30-11-11−i3i300000000000
χ202-22-2-111-10−i3i300-222-22-20-220-221−i3i3-1-100-111−i3−i3i3i30i3−i301-11-1i3−i300000000000
χ212-22-2-111-10i3−i300-222-22-202-202-21i3−i3-1-100-111i3i3−i3−i30i3−i30-11-11i3−i300000000000
χ222-22-2-111-10i3−i300-222-22-20-220-221i3−i3-1-100-111i3i3−i3−i30−i3i301-11-1−i3i300000000000
χ233333333333333-1-10000-1113-1-1-1-1-1-10000000000111-111-1-1-1-1-1-1-1-1000011-1
χ243333333333333-1-10000-1-1-1311-1-1-1-10000000000-1-1-11-1-11111-1-1110000-1-11
χ2533333333333-3-3-1-10000-111-3-1-1-1-1-1-10000000000111-111-1-1-1-111110000-1-11
χ2633333333333-3-3-1-10000-1-1-1-311-1-1-1-10000000000-1-1-11-1-1111111-1-1000011-1
χ2733333333-3-3-333-1-10000111-3-1-1-111-10000000000-1-1-1111-1-111-11-1-100001-11
χ2833333333-3-3-333-1-100001-1-1-311-111-10000000000111-1-1-111-1-1-11110000-11-1
χ2933333333-3-3-3-3-3-1-100001113-1-1-111-10000000000-1-1-1111-1-1111-1110000-11-1
χ3033333333-3-3-3-3-3-1-100001-1-1311-111-10000000000111-1-1-111-1-11-1-1-100001-11
χ314444-2-2-2-24-2-20044-2-2-2-2400000-2-2-2-21-2-21111111000000000000000000000
χ324444-2-2-2-2-4220044-2-2-2-2-400000-222-2122111-1-1-1-1000000000000000000000
χ3344-4-444-4-40004i−4i0011-1-100000000001−i3i3-11-1−i3i3−i3i300000000000000i−i3−3000
χ3444-4-444-4-40004i−4i0011-1-100000000001i3−i3-11-1i3−i3i3−i300000000000000i−i−33000
χ3544-4-444-4-40004i−4i00-2-2220000000000-2002-22000000000000000000−2i2i00000
χ3644-4-444-4-4000−4i4i0011-1-100000000001−i3i3-11-1−i3i3−i3i300000000000000−ii−33000
χ3744-4-444-4-4000−4i4i0011-1-100000000001i3−i3-11-1i3−i3i3−i300000000000000−ii3−3000
χ3844-4-444-4-4000−4i4i00-2-2220000000000-2002-220000000000000000002i−2i00000
χ394-44-44-4-4400000-44-22-22000000-4004-200-2220000000000000000000000000
χ404-44-4-222-20−2i32i300-44-22-220000002−2i32i3-21001-1-1i3i3−i3−i3000000000000000000000
χ414-44-4-222-202i3−2i300-44-22-2200000022i3−2i3-21001-1-1−i3−i3i3i3000000000000000000000
χ424-4-444-44-40000000-222-20000000000-20022-20000000000000000−2i22i20000000
χ434-4-444-44-40000000-222-20000000000-20022-200000000000000002i2−2i20000000
χ446666-3-3-3-36-3-300-2-20000-2220-2-2111100000000002-1-1-2-1-1111100000000000
χ456666-3-3-3-36-3-300-2-20000-2-2-202211110000000000-211211-1-1-1-100000000000
χ466666-3-3-3-3-63300-2-200002220-2-21-1-110000000000-2112-1-111-1-100000000000
χ476666-3-3-3-3-63300-2-200002-2-20221-1-1100000000002-1-1-211-1-11100000000000
χ486-66-66-6-66000002-2000002-20-22200-2000000000000002-2-220000000000000
χ496-66-66-6-66000002-200000-2202-2200-200000000000000-222-20000000000000
χ506-66-6-333-30−3i33i3002-2000002-20-22-1i3−i3100000000000−i3i30-111-1i3−i300000000000
χ516-66-6-333-30−3i33i3002-200000-2202-2-1i3−i3100000000000i3−i301-1-11−i3i300000000000
χ526-66-6-333-303i3−3i3002-2000002-20-22-1−i3i3100000000000i3−i30-111-1−i3i300000000000
χ536-66-6-333-303i3−3i3002-200000-2202-2-1−i3i3100000000000−i3i301-1-11i3−i300000000000
χ5488-8-8-4-444000000022-2-20000000000-1−2i32i31-11i3−i3i3−i3000000000000000000000
χ5588-8-8-4-444000000022-2-20000000000-12i3−2i31-11−i3i3−i3i3000000000000000000000
χ5688-8-8-4-4440000000-4-4440000000000200-22-20000000000000000000000000
χ578-8-888-88-800000002-2-220000000000200-2-220000000000000000000000000
χ588-8-88-44-4400000002-2-220000000000-10011-13-3-33000000000000000000000
χ598-8-88-44-4400000002-2-220000000000-10011-1-333-3000000000000000000000
χ608-8-88-44-440000000-444-40000000000200-2-220000000000000000000000000

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