Finite Group Databasebeta

← Group #11883950

Character table — Group #11883950

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12222233446666666666344466666666612121212121212121212412121212121212121212121212121212121212222444888812121212242424242424242422466666661212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111111-1-111-1-1
χ61111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-111-1-111
χ71111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-11-1-1-1-1-1-11-1-1-1-111
χ81111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-11111-1-1
χ91111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1111-11-111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1-11-1-11
χ101111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-111-11-1111-1-111-1-11111-1-1-1-1-1-11-1-1-111-1-1111-111-1
χ111111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1111111-1111-1-111-1-1-1-111-1
χ121111-1-1111111-1-1-1-111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-111111-11-1-1-1-1-1111111-1-11
χ131111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111111-11-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-1-1111-11-1
χ141111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-1111111-11-11-1-11111-1-1-1-1-1-11111-11-1-11111-1-11-1-1-11-11
χ151111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111-1-11-11-111-1-1-1-1111111-1-1-1-11-111-1-1-1-111-111-11-11
χ161111-1-1111111-1-1-1-111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111-1-1-11-1111-1-111-1-11111-1-1-1-111-1-111-1-1111-1-11-11-1
χ1722222222-2-222222222222-200222222222-2-2-2-2-20000-200000-200-2-2-2-200000000002-2-220000-2-2-2-20000000000020000002000000
χ1822222222-2-222222222222-200222222222-2-2-2-2-20000-200000-200-2-2-2-20000000000-222-20000222200000000000-2000000-2000000
χ192222222-122-1-1-1-1-1-12-122-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-1200000-1-1-1-10000000
χ202222222-122-1-1-1-1-1-12-122-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000011111111-20000011110000000
χ212222222-122-1-1-1-1-1-12-122-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-211112-2-2-1-1-1-111111111220000-2-2-2-2000011111111200000-1-1-1-10000000
χ222222222-122-1-1-1-1-1-12-122-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-211112-2-2-1-1-1-111111111-2-2000022220000-1-1-1-1-1-1-1-1-20000011110000000
χ23222222-1222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-100000000022-1-1-10000-1-1-10000
χ24222222-1222222222-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111000000000-2-211100001110000
χ25222222-1222222222-12-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-111-1-1-1-1111111110022220000-1-1-1-1000000000-2-2-1110000-1110000
χ26222222-1222222222-12-1-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-111-1-1-1-11111111100-2-2-2-200001111000000000221-1-100001-1-10000
χ27222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2000001−i3i31111−i3−i3i3i3−i3−i3i3i3002-2-220000111100000000000-1−i3i30000-1−i3i30000
χ28222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2000001−i3i31111−i3−i3i3i3−i3−i3i3i300-222-20000-1-1-1-1000000000001i3−i300001i3−i30000
χ29222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2000001i3−i31111i3i3−i3−i3i3i3−i3−i3002-2-220000111100000000000-1i3−i30000-1i3−i30000
χ30222222-12-2-2222222-12-1-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2000001i3−i31111i3i3−i3−i3i3i3−i3−i300-222-20000-1-1-1-1000000000001−i3i300001−i3i30000
χ312222-2-222-2-222-2-2-2-222222200-2-222-2-2-2-22-222-2-20000-200000200-2-222000000000022-2-2000022-2-2000000000002000000-2000000
χ322222-2-222-2-222-2-2-2-222222200-2-222-2-2-2-22-222-2-20000-200000200-2-2220000000000-2-2220000-2-22200000000000-20000002000000
χ332222-2-22-122-1-111112-122-1-222-2-2-1-11111-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-1111122000022-2-20000-1-1-1-11111-200000-1-1110000000
χ342222-2-22-122-1-111112-122-1-222-2-2-1-11111-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-11111-2-20000-2-22200001111-1-1-1-120000011-1-10000000
χ352222-2-22-122-1-111112-122-1-2-2-2-2-2-1-11111-1-11122-2-2-2-2-1211-1-1-222-1-1111111-1-1-1-1220000-2-22200001111-1-1-1-1-200000-1-1110000000
χ362222-2-22-122-1-111112-122-1-2-2-2-2-2-1-11111-1-11122-2-2-2-2-1211-1-1-222-1-1111111-1-1-1-1-2-2000022-2-20000-1-1-1-1111120000011-1-10000000
χ372222-2-2-122222-2-2-2-2-12-1-1-1-22211-1-11111-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-11111002-22-2000011-1-10000000002-2-1-1-100001110000
χ382222-2-2-122222-2-2-2-2-12-1-1-1-22211-1-11111-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-1111100-22-220000-1-111000000000-221110000-1-1-10000
χ392222-2-2-122222-2-2-2-2-12-1-1-1-2-2-211-1-11111-12-2-2-1-1111122-2-2221-1-1-1-1111111-1-1-1-1002-22-2000011-1-1000000000-22-11100001-1-10000
χ402222-2-2-122222-2-2-2-2-12-1-1-1-2-2-211-1-11111-12-2-2-1-1111122-2-2221-1-1-1-1111111-1-1-1-100-22-220000-1-1110000000002-21-1-10000-1110000
χ412222-2-2-12-2-222-2-2-2-2-12-1-1-120011-1-11111-1-22211−i3−i3i3i3-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i30022-2-20000-1-11100000000000-1−i3i300001i3−i30000
χ422222-2-2-12-2-222-2-2-2-2-12-1-1-120011-1-11111-1-22211−i3−i3i3i3-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i300-2-222000011-1-1000000000001i3−i30000-1−i3i30000
χ432222-2-2-12-2-222-2-2-2-2-12-1-1-120011-1-11111-1-22211i3i3−i3−i3-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i30022-2-20000-1-11100000000000-1i3−i300001−i3i30000
χ442222-2-2-12-2-222-2-2-2-2-12-1-1-120011-1-11111-1-22211i3i3−i3−i3-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i300-2-222000011-1-1000000000001−i3i30000-1i3−i30000
χ452-22-20022-22-2-20000-222-2202-200-2-200002-2002-22-22-2202-2000002-2002-22-200002-200002-200000022-2-200000000002-2000000000
χ462-22-20022-22-2-20000-222-2202-200-2-200002-2002-22-22-2202-2000002-2002-22-20000-220000-22000000-2-2220000000000-22000000000
χ472-22-20022-22-2-20000-222-220-2200-2-200002-2002-2-22-2220-22000002-200-22-2200002-20000-22000000-2-22200000000002-2000000000
χ482-22-20022-22-2-20000-222-220-2200-2-200002-2002-2-22-2220-22000002-200-22-220000-2200002-200000022-2-20000000000-22000000000
χ492-22-2002-1-2211−i3−i3i3i3-2-12-2-102-20011−i3−i3i3i3-11−i3i32-22-22-2-10-11−i3i3000-11−i3i3-11-11−i3i3−i3i32-200002-2000000-1-111−i3−i3i3i3000000-11−i3i30000000
χ502-22-2002-1-2211−i3−i3i3i3-2-12-2-102-20011−i3−i3i3i3-11−i3i32-22-22-2-10-11−i3i3000-11−i3i3-11-11−i3i3−i3i3-220000-2200000011-1-1i3i3−i3−i30000001-1i3−i30000000
χ512-22-2002-1-2211−i3−i3i3i3-2-12-2-10-220011−i3−i3i3i3-11−i3i32-2-22-22-101-1i3−i3000-11−i3i31-11-1i3−i3i3−i32-20000-2200000011-1-1i3i3−i3−i3000000-11−i3i30000000
χ522-22-2002-1-2211−i3−i3i3i3-2-12-2-10-220011−i3−i3i3i3-11−i3i32-2-22-22-101-1i3−i3000-11−i3i31-11-1i3−i3i3−i3-2200002-2000000-1-111−i3−i3i3i30000001-1i3−i30000000
χ532-22-2002-1-2211i3i3−i3−i3-2-12-2-102-20011i3i3−i3−i3-11i3−i32-22-22-2-10-11i3−i3000-11i3−i3-11-11i3−i3i3−i32-200002-2000000-1-111i3i3−i3−i3000000-11i3−i30000000
χ542-22-2002-1-2211i3i3−i3−i3-2-12-2-102-20011i3i3−i3−i3-11i3−i32-22-22-2-10-11i3−i3000-11i3−i3-11-11i3−i3i3−i3-220000-2200000011-1-1−i3−i3i3i30000001-1−i3i30000000
χ552-22-2002-1-2211i3i3−i3−i3-2-12-2-10-220011i3i3−i3−i3-11i3−i32-2-22-22-101-1−i3i3000-11i3−i31-11-1−i3i3−i3i32-20000-2200000011-1-1−i3−i3i3i3000000-11i3−i30000000
χ562-22-2002-1-2211i3i3−i3−i3-2-12-2-10-220011i3i3−i3−i3-11i3−i32-2-22-22-101-1−i3i3000-11i3−i31-11-1−i3i3−i3i3-2200002-2000000-1-111i3i3−i3−i30000001-1−i3i30000000
χ574444444-2-4-4-2-2-2-2-2-24-244-2-40044-2-2-2-2-2-2-2222-4-40000200000-400222200000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-2-2-2-2-24-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-22222-2-42222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-2111111122222−2i3−2i32i32i32000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-21111111222222i32i3−2i3−2i320000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ624444-4-44-2-4-4-2-222224-244-2400-4-4-2-22222-22-2-2-4-4000020000040022-2-200000000000000000000000000000000000000000000000
χ634444-4-4-2-244-2-22222-2-2-2-21-4442211-1-1-1-11-222-2-2-2-2-2-2-2-4-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000000000
χ644444-4-4-2-244-2-22222-2-2-2-21-4-4-42211-1-1-1-11-222-2-22222-2422-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000
χ654444-4-4-2-2-4-4-2-22222-2-2-2-214002211-1-1-1-112-2-222−2i3−2i32i32i3200000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000
χ664444-4-4-2-2-4-4-2-22222-2-2-2-214002211-1-1-1-112-2-2222i32i3−2i3−2i3200000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000
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χ6844-4-40044004-400004-4-4-44000004-40000-4000000000000000000000000000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000
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χ7044-4-4004-200-22−2i32i3−2i32i342-4-4-200000-22−2i32i3−2i32i32000000000000000000000000000000000000002i2−2i20000−66−66−i2i2−i2i200000000000000000
χ7144-4-4004-200-222i3−2i32i3−2i342-4-4-200000-222i3−2i32i3−2i3200000000000000000000000000000000000000−2i22i20000−66−66i2−i2i2−i200000000000000000
χ7244-4-4004-200-222i3−2i32i3−2i342-4-4-200000-222i3−2i32i3−2i32000000000000000000000000000000000000002i2−2i200006−66−6−i2i2−i2i200000000000000000
χ734-44-400444-4-4-40000-444-4400000-4-400004400-440000-400000000-440000000000000000000000000000000000000000000000000
χ744-44-4004-24-422−2i3−2i32i32i3-4-24-4-20000022−2i3−2i32i32i3-2-22i3−2i3-4400002000000002-22i3−2i300000000000000000000000000000000000000000000000
χ754-44-4004-24-4222i32i3−2i3−2i3-4-24-4-200000222i32i3−2i3−2i3-2-2−2i32i3-4400002000000002-2−2i32i300000000000000000000000000000000000000000000000
χ764-44-400-244-4-4-4000024-22-200000220000-24002-2−2i32i32i3−2i3-4000000002-200−2i32i32i3−2i30000000000000000000000000000000000000000000
χ774-44-400-244-4-4-4000024-22-200000220000-24002-22i3−2i3−2i32i3-4000000002-2002i3−2i3−2i32i30000000000000000000000000000000000000000000
χ784-44-400-24-44-4-4000024-22-204-400220000-2-400-22-22-22404-400000-2200-22-220000000000000000000000000000000000000000000
χ794-44-400-24-44-4-4000024-22-20-4400220000-2-400-222-22-240-4400000-22002-22-20000000000000000000000000000000000000000000
χ804-44-400-2-24-422−2i3−2i32i32i32-2-22100000-1-1i3i3−i3−i31-22i3−2i32-2−2i32i32i3−2i3200000000-11−i3i3i3−i3−i3i3-333-3000000000000000000000000000000000000000
χ814-44-400-2-24-422−2i3−2i32i32i32-2-22100000-1-1i3i3−i3−i31-22i3−2i32-22i3−2i3−2i32i3200000000-11−i3i3−i3i3i3−i33-3-33000000000000000000000000000000000000000
χ824-44-400-2-24-4222i32i3−2i3−2i32-2-22100000-1-1−i3−i3i3i31-2−2i32i32-2−2i32i32i3−2i3200000000-11i3−i3i3−i3−i3i33-3-33000000000000000000000000000000000000000
χ834-44-400-2-24-4222i32i3−2i3−2i32-2-22100000-1-1−i3−i3i3i31-2−2i32i32-22i3−2i3−2i32i3200000000-11i3−i3−i3i3i3−i3-333-3000000000000000000000000000000000000000
χ844-44-400-2-2-4422−2i3−2i32i32i32-2-22104-400-1-1i3i3−i3−i312−2i32i3-22-22-22-20-22−2i32i30001-1i3−i31-11-1i3−i3i3−i3000000000000000000000000000000000000000
χ854-44-400-2-2-4422−2i3−2i32i32i32-2-2210-4400-1-1i3i3−i3−i312−2i32i3-222-22-2-202-22i3−2i30001-1i3−i3-11-11−i3i3−i3i3000000000000000000000000000000000000000
χ864-44-400-2-2-44222i32i3−2i3−2i32-2-22104-400-1-1−i3−i3i3i3122i3−2i3-22-22-22-20-222i3−2i30001-1−i3i31-11-1−i3i3−i3i3000000000000000000000000000000000000000
χ874-44-400-2-2-44222i32i3−2i3−2i32-2-2210-4400-1-1−i3−i3i3i3122i3−2i3-222-22-2-202-2−2i32i30001-1−i3i3-11-11i3−i3i3−i3000000000000000000000000000000000000000
χ884-4-444-44400-444-4-44-4-4-4440004-4-444-4-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-44-2002-2-222-2-42-44-20004-42-2-222-22000000000000000000000000000000000000000000006−6−66−666−600000000000000000
χ904-4-444-44-2002-2-222-2-42-44-20004-42-2-222-2200000000000000000000000000000000000000000000−666−66−6−6600000000000000000
χ914-4-444-4-2400-444-4-442-42-2-2000-222-2-222-22000000000000000000000000000000000000000023−2323−230000000000000000000000000
χ924-4-444-4-2400-444-4-442-42-2-2000-222-2-222-220000000000000000000000000000000000000000−2323−23230000000000000000000000000
χ934-4-44-444400-44-444-4-4-4-444000-44-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44-444-2002-22-2-22-42-44-2000-442-22-2-222000000000000000000000000000000000000000000006−6−666−6−6600000000000000000
χ954-4-44-444-2002-22-2-22-42-44-2000-442-22-2-22200000000000000000000000000000000000000000000−666−6−666−600000000000000000
χ964-4-44-44-2400-44-444-42-42-2-20002-22-22-2-222000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ974-4-44-44-2400-44-444-42-42-2-20002-22-22-2-2220000000000000000000000000000000000000000−232323−230000000000000000000000000
χ9888-8-800-48008-80000-4-844-400000-4400004000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400-44−4i34i3−4i34i3-44442000002-22i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-4-400-444i3−4i34i3−4i3-44442000002-2−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-4-4004-4-444-4444-42000-44-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-88-4-4004-44-4-44444-420004-4-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000

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