Finite Group Databasebeta

← Group #11884096

Character table — Group #11884096

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121212121818242424242424242424242424242424242436363648487272
order12223344666666234446666666666612121212121241212121212121212121212121212121212121212122288882224466881212242424242424242444461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-11-1-1-11111-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1111111-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111-1-1
χ711111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111111111111-1-1-1-1
χ811111111111111111-1-111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-11111
χ911111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-11
χ1011111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-1-1-11111-1-111-1-111-1
χ1111111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-11-1-1-111111-1-1-1-11111-11-11-1
χ1211111111111111-11-111-1-1-1-111-1-1-1-111-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-111-1-111-1-11-11-11
χ1311111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-111-11-1-111-1-1-1-11111-1-11-11
χ1411111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-111-11-1
χ1511111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-11111-1-1-1-1-1-11111-1-1111111-111-1-1-1-11111-1-111-1-1-1-11-111-1
χ1611111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11-11-1-11-111-1-11111-1-111-11-1-11
χ17222222-2-222222222-20022222222222-2-2-2-2-2-20-200000000-2-2-2-20000000000000022000000000000000002-2-20000
χ18222222-2-222222222-20022222222222-2-2-2-2-2-20-200000000-2-2-2-200000000000000-2-200000000000000000-2220000
χ19222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-2-20200000000-2-222000000000000002200000000000000000-22-20000
χ20222222-2-2222222-22200-2-2-2-222-2-2-2-22-222-2-2-20200000000-2-22200000000000000-2-2000000000000000002-220000
χ2122222-12222-1-1-122-122222-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002200220002000-1-1-1-10000000-1-100
χ2222222-12222-1-1-122-122222-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2000-2000111100000001100
χ2322222-12222-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1222-1-12-2-11111-2-2-2-2-1-1-1-11111111100002200-2-20002000-1-1-1-100000001100
χ2422222-12222-1-1-122-12-2-222-1-1-1-1-1-1-1-1-1222-1-12-2-11111-2-2-2-2-1-1-1-1111111110000-2-20022000-200011110000000-1-100
χ2522222-12222-1-1-12-2-1-222-2-211-1-11111-12-2-2-1-12-21-1-11122-2-2-1-111-1-1-1-11111000022002-2000-2000-1-1110000000-1100
χ2622222-12222-1-1-12-2-1-222-2-211-1-11111-12-2-2-1-12-21-1-11122-2-2-1-111-1-1-1-111110000-2-200-22000200011-1-100000001-100
χ2722222-12222-1-1-12-2-1-2-2-2-2-211-1-11111-12-2-2-1-122111-1-1-2-222-1-1111111-1-1-1-100002200-22000-2000-1-11100000001-100
χ2822222-12222-1-1-12-2-1-2-2-2-2-211-1-11111-12-2-2-1-122111-1-1-2-222-1-1111111-1-1-1-10000-2-2002-2000200011-1-10000000-1100
χ292222-1222-1-1222-12-1222-1-122-1-1-1-1-1-1-1-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000002-1-102-1-10000-1-1-1-10000000
χ302222-1222-1-1222-12-1222-1-122-1-1-1-1-1-1-1-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2110-211000011110000000
χ312222-1222-1-1222-12-12-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-22-2-2-2-21111-1-1-1-11111111122-2-20000002-1-10-2-1-1000011110000000
χ322222-1222-1-1222-12-12-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-22-2-2-2-21111-1-1-1-111111111-2-222000000-21102110000-1-1-1-10000000
χ332222-1222-1-1222-1-2-1-22211-2-2-1-11111-1-11122-1-2-222-2-2-1-111-1-111-1-1-1-111112222000000-2-1-10-2110000-1-1110000000
χ342222-1222-1-1222-1-2-1-22211-2-2-1-11111-1-11122-1-2-222-2-2-1-111-1-111-1-1-1-11111-2-2-2-200000021102-1-1000011-1-10000000
χ352222-1222-1-1222-1-2-1-2-2-211-2-2-1-11111-1-11122-12-2-2-22211-1-1-1-1111111-1-1-1-122-2-2000000-2-1-10211000011-1-10000000
χ362222-1222-1-1222-1-2-1-2-2-211-2-2-1-11111-1-11122-12-2-2-22211-1-1-1-1111111-1-1-1-1-2-2220000002110-2-1-10000-1-1110000000
χ372-2-2222-22-2-2-22-220202-20000-2-200002-2002-22002-2002-2002-20022-2-200002-22-200000002-2000000002-2000000000
χ382-2-2222-22-2-2-22-220202-20000-2-200002-2002-22002-2002-2002-20022-2-20000-22-220000000-2200000000-22000000000
χ392-2-2222-22-2-2-22-22020-220000-2-200002-2002-2200-2200-22002-200-2-22200002-2-2200000002-200000000-22000000000
χ402-2-2222-22-2-2-22-22020-220000-2-200002-2002-2200-2200-22002-200-2-2220000-222-20000000-22000000002-2000000000
χ412-2-22-12-2211-22-2-10-102-2−i3i30011−i3−i3i3i3-11−i3i32-2-1002-200-11−i3i3-11−i3i3-1-111−i3−i3i3i32-22-20000000-1100−i3i30000-11−i3i30000000
χ422-2-22-12-2211-22-2-10-102-2−i3i30011−i3−i3i3i3-11−i3i32-2-1002-200-11−i3i3-11−i3i3-1-111−i3−i3i3i3-22-2200000001-100i3−i300001-1i3−i30000000
χ432-2-22-12-2211-22-2-10-102-2i3−i30011i3i3−i3−i3-11i3−i32-2-1002-200-11i3−i3-11i3−i3-1-111i3i3−i3−i32-22-20000000-1100i3−i30000-11i3−i30000000
χ442-2-22-12-2211-22-2-10-102-2i3−i30011i3i3−i3−i3-11i3−i32-2-1002-200-11i3−i3-11i3−i3-1-111i3i3−i3−i3-22-2200000001-100−i3i300001-1−i3i30000000
χ452-2-22-12-2211-22-2-10-10-22−i3i30011−i3−i3i3i3-11−i3i32-2-100-22001-1i3−i3-11−i3i311-1-1i3i3−i3−i32-2-220000000-1100−i3i300001-1i3−i30000000
χ462-2-22-12-2211-22-2-10-10-22−i3i30011−i3−i3i3i3-11−i3i32-2-100-22001-1i3−i3-11−i3i311-1-1i3i3−i3−i3-222-200000001-100i3−i30000-11−i3i30000000
χ472-2-22-12-2211-22-2-10-10-22i3−i30011i3i3−i3−i3-11i3−i32-2-100-22001-1−i3i3-11i3−i311-1-1−i3−i3i3i32-2-220000000-1100i3−i300001-1−i3i30000000
χ482-2-22-12-2211-22-2-10-10-22i3−i30011i3i3−i3−i3-11i3−i32-2-100-22001-1−i3i3-11i3−i311-1-1−i3−i3i3i3-222-200000001-100−i3i30000-11i3−i30000000
χ4944444-2-4-444-2-2-244-2-40044-2-2-2-2-2-2-2-2-2-4-4-422-4020000000022220000000000000000000000000000000000000000
χ5044444-2-4-444-2-2-24-4-2400-4-422-2-22222-2-44422-40-20000000022-2-20000000000000000000000000000000000000000
χ514444-24-4-4-2-2444-24-2-400-2-244-2-2-2-2-2-2-2222-4-420-40000000022220000000000000000000000000000000000000000
χ524444-24-4-4-2-2444-2-4-240022-4-4-2-22222-22-2-2-4-42040000000022-2-20000000000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-241444-2-2-2-21111111-2-2-2-2-2-24-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2414-4-4-2-2-2-21111111-2-2-2-2-2-2-4-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-41-444222211-1-1-1-11-222-2-2-2-42-2-222-2-22211-1-11111-1-1-1-100000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-41-4-4-4222211-1-1-1-11-222-2-2-24222-2-222-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-211111112222220200000000-1-1-1-13-33-33-33-300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-241-400-2-2-2-211111112222220200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-22220-200000000-1-1113-33-3-33-3300000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2-41400222211-1-1-1-112-2-22220-200000000-1-111-33-333-33-300000000000000000000000000000000
χ6144-4-444004-44-4-4-40400000004-40000-400000000000000000000000000000000004-4000000000000000000000000
χ6244-4-444004-44-4-4-40400000004-40000-40000000000000000000000000000000000-44000000000000000000000000
χ634-44-44400-44-4-44-4040000000-440000-400000000000000000000000000000000−2i22i200000000000−2i22i20000000000000
χ644-44-44400-44-4-44-4040000000-440000-4000000000000000000000000000000002i2−2i2000000000002i2−2i20000000000000
χ654-44-44-200-4422-2-40-200000−2i32i32-2−2i32i3−2i32i3200000000000000000000000000000000−2i22i200000000000i2−i26−600000000000
χ664-44-44-200-4422-2-40-200000−2i32i32-2−2i32i3−2i32i32000000000000000000000000000000002i2−2i200000000000−i2i2−6600000000000
χ674-44-44-200-4422-2-40-2000002i3−2i32-22i3−2i32i3−2i3200000000000000000000000000000000−2i22i200000000000i2−i2−6600000000000
χ684-44-44-200-4422-2-40-2000002i3−2i32-22i3−2i32i3−2i32000000000000000000000000000000002i2−2i200000000000−i2i26−600000000000
χ694-4-44444-4-4-4-44-44040000000-4-400004400-44-40000000000-44000000000000000000000000000000000000000000
χ704-4-444-24-4-4-42-2240-20000000220000-24002-2-40000−2i32i300002-2000000−2i32i32i3−2i300000000000000000000000000000000
χ714-4-444-24-4-4-42-2240-20000000220000-24002-2-400002i3−2i300002-20000002i3−2i3−2i32i300000000000000000000000000000000
χ724-4-444-2-44-4-42-2240-204-40000220000-2-400-22400-22004-400-2200-2-222000000000000000000000000000000000000
χ734-4-444-2-44-4-42-2240-20-440000220000-2-400-224002-200-4400-220022-2-2000000000000000000000000000000000000
χ744-4-44-244-422-44-4-20-2000−2i32i30022−2i3−2i32i32i3-2-22i3−2i3-44200000000002-22i3−2i30000000000000000000000000000000000000000
χ754-4-44-244-422-44-4-20-20002i3−2i300222i32i3−2i3−2i3-2-2−2i32i3-44200000000002-2−2i32i30000000000000000000000000000000000000000
χ764-4-44-2-24-4222-22-201000−2i32i300-1-1i3i3−i3−i31-22i3−2i32-220000−2i32i30000-11−i3i3-333-3i3−i3−i3i300000000000000000000000000000000
χ774-4-44-2-24-4222-22-201000−2i32i300-1-1i3i3−i3−i31-22i3−2i32-2200002i3−2i30000-11−i3i33-3-33−i3i3i3−i300000000000000000000000000000000
χ784-4-44-2-24-4222-22-2010002i3−2i300-1-1−i3−i3i3i31-2−2i32i32-220000−2i32i30000-11i3−i33-3-33i3−i3−i3i300000000000000000000000000000000
χ794-4-44-2-24-4222-22-2010002i3−2i300-1-1−i3−i3i3i31-2−2i32i32-2200002i3−2i30000-11i3−i3-333-3−i3i3i3−i300000000000000000000000000000000
χ804-4-44-2-2-44222-22-20104-4−2i32i300-1-1i3i3−i3−i312−2i32i3-22-200-2200-22−2i32i31-1i3−i311-1-1i3i3−i3−i300000000000000000000000000000000
χ814-4-44-2-2-44222-22-20104-42i3−2i300-1-1−i3−i3i3i3122i3−2i3-22-200-2200-222i3−2i31-1−i3i311-1-1−i3−i3i3i300000000000000000000000000000000
χ824-4-44-2-2-44222-22-2010-44−2i32i300-1-1i3i3−i3−i312−2i32i3-22-2002-2002-22i3−2i31-1i3−i3-1-111−i3−i3i3i300000000000000000000000000000000
χ834-4-44-2-2-44222-22-2010-442i3−2i300-1-1−i3−i3i3i3122i3−2i3-22-2002-2002-2−2i32i31-1−i3i3-1-111i3i3−i3−i300000000000000000000000000000000
χ8488-8-88-4008-8-444-80-40000000-4400004000000000000000000000000000000000000000000000000000000000000
χ8588-8-8-4800-448-8-840-40000000-4400004000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-44440200000002-26-6-66-2000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-44-44440200000002-2-666-6-2000000000000000000000000000000000000000000000000000000000000
χ888-88-8-48004-4-8-8840-400000004-400004000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4-4004-444-440200000−4i34i3-222i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-4004-444-4402000004i3−4i3-22−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000

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