Finite Group Databasebeta

← Group #11884314

Character table — Group #11884314

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order12223344666666234666668812121212121212121212666812121224242424242424242424242424242424222244244444666666121224488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-11111-1-1-1-1111-1-11-11-1-1
χ61111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-111111-1-1-1-1-1-1-111-11-111
χ71111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-11111111-1-1-11-11-1
χ81111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-1-1-1-11111-1-1-1111-11-11
χ911111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11-1-111-1-111-1
χ1011111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-111-1-1-111-1-111-1-11
χ1111111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-11111-1-1-1
χ1211111111111111-11-1-1-1111111-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-111-1-1-1-1111
χ1311111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111-111-1-1-1-1111-1-1-1-1-111-11
χ1411111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-11-1111-1-1-1-111-111111-1-11-1
χ1511111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-11-1-11111-1-11-1-1-1-11-1-111
χ1611111111111111-11-1-1-1111-1-11-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-11-11-1-1-11111-1-1-11111-111-1-1
χ17222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-2000000000000000000002200000000000000-22-20000000
χ18222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-200000000000000000000-2-2000000000000002-220000000
χ19222222-2-2222222-222-2-222200-222-2-2-2-2-2-2-2-2-2-20222000000000000000000002200000000000000-2-220000000
χ20222222-2-2222222-222-2-222200-222-2-2-2-2-2-2-2-2-2-2022200000000000000000000-2-20000000000000022-20000000
χ2122222-122-1-122-122-12-1-1-1-1-122-1-1-12-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200200200-1-1-1-1-1-1-1-10000000000
χ2222222-122-1-122-122-12-1-1-1-1-122-1-1-12-1-1-12-1-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200-200-200111111110000000000
χ2322222-122-1-122-122-12-1-1-1-1-1-2-2-1-1-12-1-1-12-1-12-1-1-22-1-1-2-2111111-2-211111122-2-200200-200-1-1-1-111110000000000
χ2422222-122-1-122-122-12-1-1-1-1-1-2-2-1-1-12-1-1-12-1-12-1-1-22-1-1-2-2111111-2-2111111-2-22200-2002001111-1-1-1-10000000000
χ2522222-122-1-122-12-2-1-211-1-1-122-1112-1-1-12-1-1-211-2-21122-1-1-1-1-1-1-2-2111111222200-200-200-1-111-1-1110000000000
χ2622222-122-1-122-12-2-1-211-1-1-122-1112-1-1-12-1-1-211-2-21122-1-1-1-1-1-1-2-2111111-2-2-2-20020020011-1-111-1-10000000000
χ2722222-122-1-122-12-2-1-211-1-1-1-2-2-1112-1-1-12-1-1-2112-211-2-211111122-1-1-1-1-1-122-2-200-200200-1-11111-1-10000000000
χ2822222-122-1-122-12-2-1-211-1-1-1-2-2-1112-1-1-12-1-1-2112-211-2-211111122-1-1-1-1-1-1-2-22200200-20011-1-1-1-1110000000000
χ292222-122222-1-12-12-1222-1-1-122222-1-1-12-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000220220000000000000-1-1-1-10
χ302222-122222-1-12-12-1222-1-1-122222-1-1-12-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000-2-20-2-2000000000000011110
χ312222-122222-1-12-12-1222-1-1-1-2-2222-1-1-12-1-1-1-1-1-1-2-1-1-111-2-2111111-2-2111100000002-202-20000000000000-11-110
χ322222-122222-1-12-12-1222-1-1-1-2-2222-1-1-12-1-1-1-1-1-1-2-1-1-111-2-2111111-2-211110000000-220-2200000000000001-11-10
χ332222-122222-1-12-1-2-1-2-2-2-1-1-1222-2-2-1-1-12-1-1-1111-2111-1-122-1-1-1-111-2-211110000000220-2-20000000000000-1-1110
χ342222-122222-1-12-1-2-1-2-2-2-1-1-1222-2-2-1-1-12-1-1-1111-2111-1-122-1-1-1-111-2-211110000000-2-2022000000000000011-1-10
χ352222-122222-1-12-1-2-1-2-2-2-1-1-1-2-22-2-2-1-1-12-1-1-1111211111-2-21111-1-122-1-1-1-100000002-20-220000000000000-111-10
χ362222-122222-1-12-1-2-1-2-2-2-1-1-1-2-22-2-2-1-1-12-1-1-1111211111-2-21111-1-122-1-1-1-10000000-2202-200000000000001-1-110
χ372-2-2222-22-2-2-2-22202000-2-222-2-200-2-2-2222200000002-22-222-2-2000000002-22-2000000002-2002-2000000000000
χ382-2-2222-22-2-2-2-22202000-2-222-2-200-2-2-2222200000002-22-222-2-200000000-22-2200000000-2200-22000000000000
χ392-2-2222-22-2-2-2-22202000-2-22-22-200-2-2-222220000000-22-22-2-222000000002-2-22000000002-200-22000000000000
χ402-2-2222-22-2-2-2-22202000-2-22-22-200-2-2-222220000000-22-22-2-22200000000-222-200000000-22002-2000000000000
χ412-2-222-1-2211-2-2-120-10−i3i311-12-21−i3i3-211-12-1-10−i3i300−i3i32-2-11-1-11100−i3i3−i3−i3i3i32-22-200000000-11−i3i3-11−i3i30000000000
χ422-2-222-1-2211-2-2-120-10−i3i311-12-21−i3i3-211-12-1-10−i3i300−i3i32-2-11-1-11100−i3i3−i3−i3i3i3-22-22000000001-1i3−i31-1i3−i30000000000
χ432-2-222-1-2211-2-2-120-10−i3i311-1-221−i3i3-211-12-1-10−i3i300−i3i3-221-111-1-100i3−i3i3i3−i3−i32-2-2200000000-11−i3i31-1i3−i30000000000
χ442-2-222-1-2211-2-2-120-10−i3i311-1-221−i3i3-211-12-1-10−i3i300−i3i3-221-111-1-100i3−i3i3i3−i3−i3-222-2000000001-1i3−i3-11−i3i30000000000
χ452-2-222-1-2211-2-2-120-10i3−i311-12-21i3−i3-211-12-1-10i3−i300i3−i32-2-11-1-11100i3−i3i3i3−i3−i32-22-200000000-11i3−i3-11i3−i30000000000
χ462-2-222-1-2211-2-2-120-10i3−i311-12-21i3−i3-211-12-1-10i3−i300i3−i32-2-11-1-11100i3−i3i3i3−i3−i3-22-22000000001-1−i3i31-1−i3i30000000000
χ472-2-222-1-2211-2-2-120-10i3−i311-1-221i3−i3-211-12-1-10i3−i300i3−i3-221-111-1-100−i3i3−i3−i3i3i32-2-2200000000-11i3−i31-1−i3i30000000000
χ482-2-222-1-2211-2-2-120-10i3−i311-1-221i3−i3-211-12-1-10i3−i300i3−i3-221-111-1-100−i3i3−i3−i3i3i3-222-2000000001-1−i3i3-11i3−i30000000000
χ4944444-2-4-4-2-244-244-2-4-2-2-2-2-200222-4222-4224-2-20-4220000000000000000000000000000000000000000000000
χ5044444-2-4-4-2-244-24-4-2422-2-2-2002-2-2-4222-422-42204-2-20000000000000000000000000000000000000000000000
χ514444-24-4-444-2-24-24-2-444-2-2-200-4-4-4222-4222-2-2-202220000000000000000000000000000000000000000000000
χ524444-24-4-444-2-24-2-4-24-4-4-2-2-200-444222-42222220-2-2-20000000000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2414-2-211144-2-2-2-211-2-211-2114-211-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2414-2-2111-4-4-2-2-2-211-2-211-211-4-2112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-41-42211144-222-211-2-2112-1-1-42-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-422111-4-4-222-211-2-2112-1-142-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-241-4-2-2111002222-1-122-1-1-21102-1-100003i−3i3i−3i00003i−3i3i−3i000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-241-4-2-2111002222-1-122-1-1-21102-1-10000−3i3i−3i3i0000−3i3i−3i3i000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-41422111002-2-22-1-122-1-12-1-10-21100003i−3i3i−3i0000−3i3i−3i3i000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-41422111002-2-22-1-122-1-12-1-10-2110000−3i3i−3i3i00003i−3i3i−3i000000000000000000000000000000
χ6144-4-444004-44-4-4-4040004-4-40000000000000000000000000000000000000000000000000000000000−2i22i200000
χ6244-4-444004-44-4-4-4040004-4-400000000000000000000000000000000000000000000000000000000002i2−2i200000
χ634-44-44400-44-44-4-404000-44-40000000000000000000000000000000000000004i−4i000000000000000000000000
χ644-44-44400-44-44-4-404000-44-4000000000000000000000000000000000000000−4i4i000000000000000000000000
χ654-4-44444-4-4-4-4-44404000-4-4400400444-4-4-4-400000000000000000000000000000000000000000000000000000
χ664-4-444-24-422-4-4-240-20−2i32i322-200-22i3−2i34-2-22-4220−2i32i3002i3−2i30000000000000000000000000000000000000000000000
χ674-4-444-24-422-4-4-240-202i3−2i322-200-2−2i32i34-2-22-42202i3−2i300−2i32i30000000000000000000000000000000000000000000000
χ684-4-44-244-4-4-4224-20-200022-200400-2-2-2-422200000000000000023−230023−23−2323000000000000000000000000000000
χ694-4-44-244-4-4-4224-20-200022-200400-2-2-2-4222000000000000000−232300−232323−23000000000000000000000000000000
χ704-4-44-24-44-4-4224-20-200022-24-4-4002224-2-2-20000000-224-4-2-22200000000000000000000000000000000000000
χ714-4-44-24-44-4-4224-20-200022-2-44-4002224-2-2-200000002-2-4422-2-200000000000000000000000000000000000000
χ724-4-44-2-24-42222-2-2010−2i32i3-1-1100-22i3−2i3-21122-1-10i3−i300−i3i300003i−3i−3i3i−2323003−3−33000000000000000000000000000000
χ734-4-44-2-24-42222-2-2010−2i32i3-1-1100-22i3−2i3-21122-1-10i3−i300−i3i30000−3i3i3i−3i23−2300−333−3000000000000000000000000000000
χ744-4-44-2-24-42222-2-20102i3−2i3-1-1100-2−2i32i3-21122-1-10−i3i300i3−i300003i−3i−3i3i23−2300−333−3000000000000000000000000000000
χ754-4-44-2-24-42222-2-20102i3−2i3-1-1100-2−2i32i3-21122-1-10−i3i300i3−i30000−3i3i3i−3i−2323003−3−33000000000000000000000000000000
χ764-4-44-2-2-442222-2-2010−2i32i3-1-114-42−2i32i32-1-1-2-2110i3−i300i3−i3-22-2211-1-100−2i32i3i3i3−i3−i3000000000000000000000000000000
χ774-4-44-2-2-442222-2-2010−2i32i3-1-11-442−2i32i32-1-1-2-2110i3−i300i3−i32-22-2-1-111002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ784-4-44-2-2-442222-2-20102i3−2i3-1-114-422i3−2i32-1-1-2-2110−i3i300−i3i3-22-2211-1-1002i3−2i3−i3−i3i3i3000000000000000000000000000000
χ794-4-44-2-2-442222-2-20102i3−2i3-1-11-4422i3−2i32-1-1-2-2110−i3i300−i3i32-22-2-1-11100−2i32i3i3i3−i3−i3000000000000000000000000000000
χ8088-8-88-400-448-84-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-48008-8-44-840-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-4444020002-2-20000006i−6i006i−6i00000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-44-4444020002-2-2000000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000
χ848-88-88-4004-4-884-80-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4800-884-4-840-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4-4004-44-44402000-22-20000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-44-44402000-22-2000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000

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