Finite Group Databasebeta

← #28292719

Subgroups — #28292719

Order 13568.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289024C214yesmaximal, complemented
2#20289016C214yesmaximal, complemented
3#20288952C212yesmaximal, complemented
4#20288947C212yesmaximal, complemented
5#20288941C212yesmaximal, complemented
6#20288936C212yesmaximal, complemented
7#20288908C214yesmaximal, complemented
8#20288897C214yesmaximal, complemented
9#20288739C214yesmaximal, complemented
10#20288737C214yesmaximal, complemented
11#20288546C214yesmaximal, complemented
12#20288475C214yesmaximal, complemented
13#20288441C214yesmaximal, complemented
14#20288416C212yesmaximal, complemented
15#20288404C211yesmaximal, characteristic, complemented
16#20288398C212yesmaximal, complemented
17#20288378C214yesmaximal, complemented
18#20288348C212yesmaximal, complemented
19#20288344C212yesmaximal, complemented
20#20288344C212yesmaximal, complemented
21#525×D53C212yesmaximal, complemented
22C22×#13133190C211yesmaximal, characteristic, complemented
23C53×#3490C211yesmaximal, characteristic, complemented
24C2×#13133263C2212yescomplemented
25C2×#13133262C2212yescomplemented
26C2×#13133262C2212yescomplemented
27C2×#41×D53C2212yescomplemented
28C23×D212C2211yescharacteristic, complemented
29C23×C22⋊D53C2211yescharacteristic, complemented
30C23×C22⋊D53C2211yescharacteristic, complemented
31C23×C4×D53C2211yescharacteristic, complemented
32#16811370C2214yescomplemented
33#16811369C2214yescomplemented
34#16811369C2214yescomplemented
35#16811367C2214yescomplemented
36#16811364C2214yescomplemented
37#16811363C2214yescomplemented
38#16811362C2214yescomplemented
39#16811361C2214yescomplemented
40#16811336C2214yescomplemented
41#16811335C2214yescomplemented
42#16811332C2214yescomplemented
43#16811327C2214yescomplemented
44#16811324C2214yescomplemented
45#16811324C2214yescomplemented
46#16811324C2214yescomplemented
47#16811323C2214yescomplemented
48#16811322C2214yescomplemented
49#16811322C2214yescomplemented
50#16811318C2214yescomplemented
51#16811318C2214yescomplemented
52#16811317C2214yescomplemented
53#16811316C2214yescomplemented
54#16811310C2214yescomplemented
55#16811306C2214yescomplemented
56#16811302C2214yescomplemented
57#16811300C2214yescomplemented
58#16811299C2214yescomplemented
59#16811299C2214yescomplemented
60#16811297C2214yescomplemented
61#16811296C2214yescomplemented
62#16811294C2214yescomplemented
63#16811291C2214yescomplemented
64#16811283C2214yescomplemented
65#16811281C2214yescomplemented
66#16811275C2214yescomplemented
67#16811272C2214yescomplemented
68#16811271C2214yescomplemented
69#16811271C2214yescomplemented
70#16811269C2214yescomplemented
71#16811269C2214yescomplemented
72#16811269C2214yescomplemented
73#16811268C2214yescomplemented
74#16811266C2214yescomplemented
75#16811265C2214yescomplemented
76#16811265C2214yescomplemented
77#16811264C2214yescomplemented
78#16811264C2214yescomplemented
79#16811263C2214yescomplemented
80#16811263C2214yescomplemented
81#16811263C2214yescomplemented
82#16811263C2214yescomplemented
83#16811263C2214yescomplemented
84#16811263C2214yescomplemented
85#16811263C2214yescomplemented
86#16811263C2214yescomplemented
87#16811262C2214yescomplemented
88#16811262C2214yescomplemented
89#16811261C2214yescomplemented
90#16811260C2214yescomplemented
91#16811260C2214yescomplemented
92#16811260C2214yescomplemented
93#16811260C2214yescomplemented
94D4×D212C2214yescomplemented
95D4×D212C2214yescomplemented
96#16811257C2214yescomplemented
97#16811257C2214yescomplemented
98#16811257C2214yescomplemented
99D4×C22⋊D53C2214yescomplemented
100D4×C22⋊D53C2214yescomplemented
101D4×C22⋊D53C2214yescomplemented
102D4×C22⋊D53C2214yescomplemented
103#16811255C2214yescomplemented
104#16811255C2214yescomplemented
105#16811255C2214yescomplemented
106#16811255C2214yescomplemented
107#16811255C2214yescomplemented
108#16811252C2212yescomplemented
109#16811249C2211yescharacteristic, complemented
110#16811248C2212yescomplemented
111#16811243C2214yescomplemented
112#16811239C2214yescomplemented
113#16811228C2214yescomplemented
114#16811225C2214yescomplemented
115#16811225C2214yescomplemented
116#16811225C2214yescomplemented
117#16811224C2214yescomplemented
118#16811223C2214yescomplemented
119#16811222C2212yescomplemented
120#16811219C2214yescomplemented
121#16811218C2212yescomplemented
122#16811215C2214yescomplemented
123#16811214C2214yescomplemented
124#16811213C2212yescomplemented
125#16811212C2214yescomplemented
126#16811211C2212yescomplemented
127#16811211C2212yescomplemented
128#16811211C2214yescomplemented
129#16811210C2212yescomplemented
130#16811209C2214yescomplemented
131#16811207C2214yescomplemented
132#16811207C2214yescomplemented
133#16811206C2214yescomplemented
134#16811206C2214yescomplemented
135#16811203C2214yescomplemented
136#16811203C2214yescomplemented
137#16811202C2214yescomplemented
138#16811200C2212yescomplemented
139#16811200C2214yescomplemented
140#16811192C2212yescomplemented
141#16811191C2214yescomplemented
142#16811188C2214yescomplemented
143#16811188C2214yescomplemented
144#16811188C2214yescomplemented
145#16811187C2212yescomplemented
146#16811185C2212yescomplemented
147#16811185C2212yescomplemented
148#16811185C2211yescharacteristic, complemented
149#16811184C2214yescomplemented
150#16811184C2214yescomplemented
151#16811184C2214yescomplemented
152#16811183C2214yescomplemented
153#16811183C2214yescomplemented
154#16811183C2214yescomplemented
155#16811182C2212yescomplemented
156#16811182C2212yescomplemented
157#16811181C2212yescomplemented
158#16811172C2214yescomplemented
159#16811170C2214yescomplemented
160#16811156C2214yescomplemented
161#16811151C2214yescomplemented
162#16811136C2212yescomplemented
163#16811136C2212yescomplemented
164#16811135C2212yescomplemented
165#16811134C2212yescomplemented
166#16811134C2212yescomplemented
167#16811133C2212yescomplemented
168#16811133C2212yescomplemented
169#16811132C2214yescomplemented
170#16811132C2214yescomplemented
171#16811132C2214yescomplemented
172#16811131C2214yescomplemented
173#16811131C2214yescomplemented
174#16811130C2212yescomplemented
175#16811129C2214yescomplemented
176#16811129C2214yescomplemented
177#123×D53C2214yescomplemented
178C22⋊Q8×D53C2212yescomplemented
179C22⋊Q8×D53C2212yescomplemented
180C2×#13133190C2214yescomplemented
181C2×#13133190C2214yescomplemented
182C2×#13133190C2214yescomplemented
183C2×#13133190C2214yescomplemented
184C2×#13133190C2212yescomplemented
185C2×#13133190C2212yescomplemented
186C2×#13133190C2212yescomplemented
187C2×#13133190C2212yescomplemented
188C2×#13133190C2214yescomplemented
189#121×D53C2212yescomplemented
190#121×D53C2212yescomplemented
191#121×D53C2214yescomplemented
192C2×#13133186C2212yescomplemented
193#120×D53C2214yescomplemented
194#120×D53C2214yescomplemented
195#16811102C2214yescomplemented
196#16811097C2212yescomplemented
197#16811096C2212yescomplemented
198#16811096C2212yescomplemented
199#16811096C2212yescomplemented
200#16811095C2214yescomplemented
201C4×D4×D53C2214yescomplemented
202C4×D4×D53C2214yescomplemented
203#117×D53C2212yescomplemented
204C22×#11719919C2211yescharacteristic, complemented
205C22×#11719921C2211yescharacteristic, complemented
206C53×#551C2214yescomplemented
207C53×#551C2214yescomplemented
208C53×#546C2214yescomplemented
209C53×#546C2214yescomplemented
210C53×#543C2211yescharacteristic, complemented
211C53×#538C2212yescomplemented
212C53×#538C2212yescomplemented
213C53×#534C2211yescharacteristic, complemented
214C53×#525C2212yescomplemented
215C53×#525C2212yescomplemented
216C2×#120×C53C2212yescomplemented
217C53×#518C2212yescomplemented
218C22×C22⋊C4×C53C2211yescharacteristic, complemented
219C24×D53C2311yescharacteristic
220C24×D53C2311yescharacteristic
221#13133263—48no—
222#13133262—48no—
223#13133262—48no—
224C2×#11719949C2314yescomplemented
225C2×#11719949C2312yescomplemented
226C2×#11719945C2312yes—
227C2×#11719945C2312yes—
228C2×#11719945C2314yescomplemented
229C2×#11719945C2314yescomplemented
230C2×#11719945C2314yescomplemented
231C2×#11719945C2314yescomplemented
232C2×#11719947C2314yes—
233C2×#11719947C2314yes—
234C2×#11719947C2314yescomplemented
235C2×#11719947C2314yescomplemented
236C2×#11719947C2312yescomplemented
237#41×D53—48no—
238C2×Q8×D53C2312yescomplemented
239C22×D212—44no—
240C22×D212C2312yes—
241C22×D212C2312yes—
242C22×D212C2314yes—
243C22×D212C2312yes—
244C22×D212C2312yes—
245C22×D212C2314yescomplemented
246C22×C22⋊D53—44no—
247C22×C22⋊D53—44no—
248C22×C22⋊D53C2312yes—
249C22×C22⋊D53C2312yes—
250C22×C22⋊D53C2312yes—
251C22×C22⋊D53C2312yes—
252C22×C22⋊D53C2312yes—
253C22×C22⋊D53C2312yes—
254C22×C22⋊D53C2312yes—
255C22×C22⋊D53C2312yes—
256C22×C22⋊D53C2312yes—
257C22×C22⋊D53C2314yes—
258C22×C22⋊D53C2314yes—
259C22×C22⋊D53C2312yes—
260C22×C22⋊D53C2312yes—
261C22×C22⋊D53C2314yescomplemented
262C22×C22⋊D53C2314yescomplemented
263C2×D4×D53C2314yes—
264C2×D4×D53C2314yes—
265C2×D4×D53C2314yes—
266C2×D4×D53C2314yes—
267C2×D4×D53C2314yes—
268C2×D4×D53C2314yes—
269C2×D4×D53C2314yescomplemented
270C2×D4×D53C2314yescomplemented
271C2×D4×D53C2312yescomplemented
272C2×D4×D53C2314yescomplemented
273C23×Dic53C2311yescharacteristic
274C23×Dic53C2311yescharacteristic
275C22×C4×D53—44no—
276C22×C4×D53C2312yes—
277C22×C4×D53C2312yes—
278C22×C4×D53C2312yes—
279C22×C4×D53C2312yes—
280C22×C4×D53C2312yes—
281C22×C4×D53C2312yes—
282C22×C4×D53C2314yescomplemented
283#13133216C2314yescomplemented
284#13133215C2314yescomplemented
285#13133214C2314yescomplemented
286#13133213C2314yescomplemented
287#13133213C2314yescomplemented
288#13133213C2314yescomplemented
289#13133213C2314yescomplemented
290#13133213C2314yescomplemented
291#13133212C2314yescomplemented
292#13133212C2314yescomplemented
293#13133212C2314yescomplemented
294#13133212C2314yescomplemented
295#13133211C2314yescomplemented
296#13133211C2314yescomplemented
297#13133210C2314yescomplemented
298#13133210C2314yescomplemented
299#13133210C2314yescomplemented
300#13133210C2314yescomplemented
301#13133209C2314yescomplemented
302#13133208C2314yescomplemented
303#13133207C2314yescomplemented
304#13133207C2314yescomplemented
305#13133207C2314yescomplemented
306#13133207C2314yescomplemented
307#13133206C2314yescomplemented
308#13133206C2314yescomplemented
309#13133205C2314yescomplemented
310#13133205C2314yescomplemented
311#13133203C2314yescomplemented
312#13133203C2314yescomplemented
313#13133203C2314yescomplemented
314#13133203C2314yescomplemented
315#13133203C2314yescomplemented
316#13133203C2314yescomplemented
317#13133203C2314yescomplemented
318#13133203C2314yescomplemented
319#13133202C2314yescomplemented
320#13133202C2314yescomplemented
321#13133202C2314yescomplemented
322#13133202C2314yescomplemented
323#13133202C2314yescomplemented
324#13133202C2314yescomplemented
325#13133202C2314yescomplemented
326#13133202C2314yescomplemented
327#13133202C2314yescomplemented
328#13133202C2314yescomplemented
329#13133201C2314yes—
330#13133201C2314yes—
331#13133201C2314yescomplemented
332#13133201C2314yescomplemented
333#13133201C2314yescomplemented
334#13133201C2314yescomplemented
335#13133200C2314yes—
336#13133200C2314yes—
337#13133200C2314yescomplemented
338#13133200C2314yescomplemented
339#13133200C2314yescomplemented
340#13133200C2314yescomplemented
341#13133199C2314yescomplemented
342#13133199C2314yescomplemented
343#13133199C2314yescomplemented
344#13133199C2314yescomplemented
345#13133199C2314yescomplemented
346#13133199C2314yescomplemented
347#13133199C2314yescomplemented
348#13133199C2314yescomplemented
349#13133199C2314yescomplemented
350#13133199C2314yescomplemented
351#13133198C2314yes—
352#13133198C2314yes—
353#13133198C2314yescomplemented
354#13133197C2314yescomplemented
355#13133197C2312yescomplemented
356#13133197C2312yescomplemented
357#13133196C2312yes—
358#13133196C2312yes—
359#13133196C2312yes—
360#13133196C2312yes—
361#13133196C2314yescomplemented
362#13133195C2314yescomplemented
363#13133195C2314yescomplemented
364#13133195C2314yescomplemented
365#13133195C2314yescomplemented
366#13133195C2314yescomplemented
367#13133195C2314yescomplemented
368#13133194C2314yes—
369#13133194C2314yes—
370#13133194C2314yes—
371#13133194C2314yes—
372#13133194C2314yescomplemented
373#13133194C2314yescomplemented
374#13133194C2314yescomplemented
375#13133194C2314yescomplemented
376#13133193C2314yescomplemented
377#13133193C2314yescomplemented
378#13133193C2312yescomplemented
379#13133193C2312yescomplemented
380#13133192C2314yescomplemented
381#13133192C2314yescomplemented
382#13133192C2314yescomplemented
383#13133192C2314yescomplemented
384#13133192C2314yescomplemented
385#13133192C2314yescomplemented
386#13133192C2314yescomplemented
387#13133192C2312yescomplemented
388#13133192C2312yescomplemented
389#13133191C2312yes—
390#13133191C2312yes—
391#13133191C2312yes—
392#13133191C2312yes—
393#13133191C2314yescomplemented
394#13133191C2314yescomplemented
395#13133191C2314yescomplemented
396#13133191C2314yescomplemented
397#13133191C2314yescomplemented
398#13133191C2314yescomplemented
399#13133191C2314yescomplemented
400#13133190C2314yes—
401#13133190C2314yes—
402#13133190C2314yes—
403#13133190C2314yes—
404#13133190C2314yes—
405#13133190C2314yes—
406#13133190C2314yes—
407#13133190C2314yes—
408#13133190C2314yes—
409#13133190C2314yes—
410#13133190C2314yes—
411#13133190C2314yes—
412#13133190C2314yes—
413#13133190C2314yes—
414#13133190C2314yes—
415#13133190C2314yes—
416#13133190C2314yescomplemented
417#13133190C2314yescomplemented
418#13133190C2314yescomplemented
419#13133190C2314yescomplemented
420#13133190C2314yescomplemented
421#13133190C2314yescomplemented
422#13133190C2314yescomplemented
423#13133190C2314yescomplemented
424#13133190C2314yescomplemented
425#13133190C2314yescomplemented
426#13133190C2314yescomplemented
427#13133190C2314yescomplemented
428#13133190C2314yescomplemented
429#13133190C2314yescomplemented
430#13133190C2314yescomplemented
431#13133190C2314yescomplemented
432#13133190C2314yescomplemented
433#13133190C2314yescomplemented
434#13133189C2314yes—
435#13133189C2314yes—
436#13133189C2314yes—
437#13133189C2314yes—
438#13133189C2314yescomplemented
439#13133189C2314yescomplemented
440#13133189C2314yescomplemented
441#13133189C2314yescomplemented
442#13133189C2314yescomplemented
443#13133189C2314yescomplemented
444#13133189C2314yescomplemented
445#13133189C2314yescomplemented
446#13133189C2314yescomplemented
447#13133189C2314yescomplemented
448#13133188C2314yescomplemented
449#13133188C2314yescomplemented
450#13133188C2314yescomplemented
451#13133188C2314yescomplemented
452#13133188C2312yescomplemented
453#13133188C2312yescomplemented
454#13133187C2314yes—
455#13133187C2314yes—
456#13133187C2314yes—
457#13133187C2314yes—
458#13133187C2314yes—
459#13133187C2314yes—
460#13133187C2314yescomplemented
461#13133187C2314yescomplemented
462#13133187C2314yescomplemented
463#13133187C2314yescomplemented
464#13133187C2314yescomplemented
465#13133187C2314yescomplemented
466#13133187C2314yescomplemented
467#13133187C2314yescomplemented
468#13133186C2314yes—
469#13133186C2314yes—
470#13133186C2314yes—
471#13133186C2314yes—
472#13133186C2314yescomplemented
473#13133186C2314yescomplemented
474#13133185C2314yes—
475#13133185C2314yes—
476#13133185C2314yes—
477#13133185C2314yes—
478#13133185C2314yes—
479#13133185C2314yes—
480#13133185C2314yescomplemented
481#13133185C2314yescomplemented
482#13133185C2314yescomplemented
483#13133185C2314yescomplemented
484#13133185C2314yescomplemented
485C4×Dic106C2314yescomplemented
486#13133182C2314yescomplemented
487C4×D212C2314yescomplemented
488C4×D212C2314yescomplemented
489C4×D212C2314yescomplemented
490C4×D212C2314yescomplemented
491C4×D212C2314yescomplemented
492D4×Dic53C2314yes—
493D4×Dic53C2314yes—
494D4×Dic53C2314yes—
495D4×Dic53C2314yes—
496#13133179C2314yescomplemented
497#13133179C2314yescomplemented
498#13133179C2314yescomplemented
499#13133179C2314yescomplemented
500#13133179C2314yescomplemented
501C4×C22⋊D53C2314yes—
502C4×C22⋊D53C2314yes—
503C4×C22⋊D53C2314yes—
504C4×C22⋊D53C2314yes—
505C4×C22⋊D53C2314yescomplemented
506C4×C22⋊D53C2314yescomplemented
507C4×C22⋊D53C2314yescomplemented
508C4×C22⋊D53C2314yescomplemented
509C4×C22⋊D53C2314yescomplemented
510C4×C22⋊D53C2314yescomplemented
511C4×C22⋊D53C2314yescomplemented
512C4×C22⋊D53C2314yescomplemented
513#13133177C2314yes—
514#13133177C2314yes—
515#13133177C2314yes—
516#13133177C2314yes—
517#13133177C2314yescomplemented
518#13133177C2314yescomplemented
519#13133177C2314yescomplemented
520#13133177C2314yescomplemented
521#13133177C2314yescomplemented
522#13133177C2314yescomplemented
523#13133177C2314yescomplemented
524#13133177C2314yescomplemented
525#13133177C2314yescomplemented
526#13133177C2314yescomplemented
527#13133176C2312yes—
528#13133176C2312yes—
529#13133175C2314yescomplemented
530#13133175C2312yescomplemented
531#13133175C2312yescomplemented
532#13133174C2314yescomplemented
533#13133174C2314yescomplemented
534#13133174C2314yescomplemented
535#13133173C2314yes—
536#13133173C2314yes—
537#13133173C2314yescomplemented
538#13133173C2314yescomplemented
539C2×#11719919C2314yes—
540C2×#11719919C2312yes—
541C2×#11719919C2312yes—
542C2×#11719919C2312yes—
543C2×#11719919C2312yes—
544C2×#11719919C2314yescomplemented
545C4⋊C4×D53C2312yescomplemented
546C4⋊C4×D53C2314yescomplemented
547C4⋊C4×D53C2314yescomplemented
548C4⋊C4×D53C2312yescomplemented
549C4⋊C4×D53C2314yescomplemented
550C2×C22⋊Dic53C2312yes—
551C2×C22⋊Dic53C2312yes—
552C2×C22⋊Dic53C2312yes—
553C2×#11719921C2314yes—
554C2×#11719921C2314yes—
555C2×#11719921C2312yes—
556C2×#11719921C2312yes—
557C2×#11719921C2314yescomplemented
558C22⋊C4×D53C2314yes—
559C22⋊C4×D53C2314yes—
560C22⋊C4×D53C2314yes—
561C22⋊C4×D53C2314yes—
562C22⋊C4×D53C2314yes—
563C22⋊C4×D53C2314yes—
564C22⋊C4×D53C2314yescomplemented
565C22⋊C4×D53C2314yescomplemented
566C22⋊C4×D53C2314yescomplemented
567C22⋊C4×D53C2314yescomplemented
568C42×D53C2314yescomplemented
569C25×C53C2311yescharacteristic
570C2×#41×C53C2312yes—
571C2×#41×C53C2312yes—
572C22×D4×C53C2312yes—
573C22×D4×C53C2312yes—
574C22×D4×C53C2312yes—
575C23×C4×C53C2311yescharacteristic
576C23×C4×C53C2311yescharacteristic
577#126×C53C2314yescomplemented
578#126×C53C2314yescomplemented
579#124×C53C2314yescomplemented
580#124×C53C2314yescomplemented
581#123×C53C2314yes—
582#123×C53C2314yes—
583#123×C53C2314yescomplemented
584#123×C53C2314yescomplemented
585#123×C53C2314yescomplemented
586C22⋊Q8×C53C2312yes—
587C22⋊Q8×C53C2312yes—
588C22⋊Q8×C53C2312yes—
589C22⋊Q8×C53C2312yes—
590C22⋊Q8×C53C2314yescomplemented
591C22⋊Q8×C53C2314yescomplemented
592#121×C53C2312yes—
593#121×C53C2312yes—
594#121×C53C2312yes—
595#121×C53C2312yes—
596#121×C53C2314yescomplemented
597#121×C53C2314yescomplemented
598#120×C53C2314yes—
599#120×C53C2314yes—
600#120×C53C2314yes—
601#120×C53C2314yes—
602#120×C53C2314yescomplemented
603C4×D4×C53C2314yes—
604C4×D4×C53C2314yes—
605C4×D4×C53C2314yes—
606C4×D4×C53C2314yes—
607C4×D4×C53C2314yescomplemented
608C4×D4×C53C2314yescomplemented
609#117×C53C2312yes—
610#117×C53C2312yes—
611#117×C53C2314yescomplemented
612C2×C22⋊C4×C53C2311yescharacteristic
613C2×C22⋊C4×C53C2314yes—
614C2×C22⋊C4×C53C2314yes—
615C2×C22⋊C4×C53C2311yescharacteristic
616C2×C22⋊C4×C53C2311yescharacteristic
617C2×C22⋊C4×C53C2311yescharacteristic
618C2×C22⋊C4×C53C2312yes—
619C2×C22⋊C4×C53C2312yes—
620C2×C22⋊C4×C53C2312yes—
621C2×C22⋊C4×C53C2314yescomplemented
622C24×C53—42no—
623C24×C53—42no—
624C24×C53—42no—
625C24×C53C2411yescharacteristic
626C24×C53C2411yescharacteristic
627C24×C53C2412yes—
628C24×C53C2412yes—
629C24×C53C2411yescharacteristic
630C24×C53C2412yes—
631C23×D53—24no—
632C23×D53—42no—
633C23×D53—42no—
634C23×D53—42no—
635C23×D53—42no—
636C23×D53—42no—
637C23×D53C2412yes—
638C23×D53C2412yes—
639C23×D53C2412yes—
640C23×D53C2412yes—
641C23×D53C2412yes—
642C23×D53C2414yes—
643C23×D53C2411yescharacteristic
644C23×D53C2412yes—
645C23×D53C2414yes—
646C23×D53C2411yescharacteristic
647#41×C53—44no—
648#41×C53—44no—
649C2×Q8×C53C2412yes—
650C2×Q8×C53C2412yes—
651C2×D4×C53—44no—
652C2×D4×C53—44no—
653C2×D4×C53—44no—
654C2×D4×C53C2414yes—
655C2×D4×C53C2414yes—
656C2×D4×C53C2414yes—
657C2×D4×C53C2414yes—
658C2×D4×C53C2414yes—
659C2×D4×C53C2414yes—
660C2×D4×C53C2412yes—
661C2×D4×C53C2412yes—
662C22×C4×C53—42no—
663C22×C4×C53—42no—
664C22×C4×C53C2412yes—
665C22×C4×C53C2412yes—
666C22×C4×C53C2412yes—
667C22×C4×C53C2411yescharacteristic
668C22×C4×C53C2411yescharacteristic
669C22×C4×C53C2412yes—
670C22×C4×C53C2412yes—
671C22×C4×C53C2412yes—
672C22×C4×C53C2412yes—
673C22×C4×C53C2411yescharacteristic
674C22×C4×C53C2411yescharacteristic
675C22×C4×C53C2414yes—
676C22×C4×C53C2414yes—
677C2×C22⋊D53—28no—
678C2×C22⋊D53—28no—
679C2×C22⋊D53—44no—
680C2×C22⋊D53—48no—
681C2×C22⋊D53—44no—
682C2×C22⋊D53—48no—
683C2×C22⋊D53—44no—
684C2×C22⋊D53—44no—
685C2×C22⋊D53—44no—
686C2×C22⋊D53—48no—
687C2×C22⋊D53—44no—
688C2×C22⋊D53—48no—
689C2×C22⋊D53—44no—
690C2×C22⋊D53—44no—
691C2×C22⋊D53—44no—
692C2×C22⋊D53C2414yes—
693C2×C22⋊D53C2414yes—
694C2×C22⋊D53C2414yes—
695C2×C22⋊D53C2414yes—
696C2×C22⋊D53C2414yes—
697C2×C22⋊D53C2414yes—
698C2×C22⋊D53C2414yes—
699C2×C22⋊D53C2414yes—
700C2×C22⋊D53C2414yes—
701C2×C22⋊D53C2414yes—
702C2×C22⋊D53C2414yes—
703C2×C22⋊D53C2414yes—
704C2×C22⋊D53C2414yes—
705C2×C22⋊D53C2414yes—
706C2×C22⋊D53C2414yes—
707C2×C22⋊D53C2414yes—
708C2×C22⋊D53C2414yes—
709C2×C22⋊D53C2414yes—
710C2×C22⋊D53C2414yes—
711C2×C22⋊D53C2414yes—
712C2×C22⋊D53C2414yes—
713C2×C22⋊D53C2414yes—
714C22×Dic53—24no—
715C22×Dic53—42no—
716C22×Dic53C2412yes—
717C22×Dic53C2412yes—
718C22×Dic53C2412yes—
719C22×Dic53C2411yescharacteristic
720C22×Dic53C2414yes—
721C22×Dic53C2412yes—
722C22×Dic53C2412yes—
723C22×Dic53C2414yes—
724C22×Dic53C2412yes—
725C22×Dic53C2412yes—
726C22×Dic53C2412yes—
727C22×Dic53C2411yescharacteristic
728#11719949—44no—
729#11719949—48no—
730Q8×D53—44no—
731#11719947—216no—
732#11719947—48no—
733#11719947—44no—
734#11719947—48no—
735#11719947—48no—
736D4×D53—216no—
737D4×D53—44no—
738D4×D53—48no—
739D4×D53—48no—
740D4×D53—48no—
741D4×D53—48no—
742D4×D53—48no—
743D4×D53—48no—
744D4×D53—48no—
745D4×D53—48no—
746#11719945—48no—
747#11719945—48no—
748#11719945—48no—
749#11719945—48no—
750#11719945—44no—
751#11719945—44no—
752C2×D212—28no—
753C2×D212—44no—
754C2×D212—48no—
755C2×D212—44no—
756C2×D212—48no—
757C2×D212—44no—
758C2×D212C2414yes—
759C2×D212C2414yes—
760C2×D212C2414yes—
761C2×D212C2414yes—
762C2×D212C2414yes—
763C2×D212C2414yes—
764C2×D212C2414yes—
765C2×D212C2414yes—
766C2×D212C2412yes—
767C2×D212C2412yes—
768C2×D212C2414yes—
769C2×D212C2414yes—
770C2×C4×D53—28no—
771C2×C4×D53—44no—
772C2×C4×D53—44no—
773C2×C4×D53—44no—
774C2×C4×D53—44no—
775C2×C4×D53—48no—
776C2×C4×D53—44no—
777C2×C4×D53C2412yes—
778C2×C4×D53C2414yes—
779C2×C4×D53C2412yes—
780C2×C4×D53C2414yes—
781C2×C4×D53C2412yes—
782C2×C4×D53C2412yes—
783C2×C4×D53C2414yes—
784C2×C4×D53C2414yes—
785C2×C4×D53C2414yes—
786C2×C4×D53C2414yes—
787C2×C4×D53C2414yes—
788C2×C4×D53C2412yes—
789C2×C4×D53C2412yes—
790C2×C4×D53C2414yes—
791C2×C4×D53C2414yes—
792C2×C4×D53C2414yes—
793C2×C4×D53C2412yes—
794C2×C4×D53C2412yes—
795C2×Dic106C2414yes—
796C2×Dic106C2414yes—
797C2×Dic106C2412yes—
798C2×Dic106C2412yes—
799C4⋊C4×C53C2412yes—
800C4⋊C4×C53C2412yes—
801C4⋊C4×C53C2412yes—
802C4⋊C4×C53C2412yes—
803C4⋊C4×C53C2414yes—
804C4⋊C4×C53C2414yes—
805C4⋊C4×C53C2414yes—
806C4⋊C4×C53C2414yes—
807C22⋊C4×C53C2414yes—
808C22⋊C4×C53C2414yes—
809C22⋊C4×C53C2414yes—
810C22⋊C4×C53C2414yes—
811C22⋊C4×C53C2414yes—
812C22⋊C4×C53C2414yes—
813C22⋊C4×C53C2414yes—
814C22⋊C4×C53C2414yes—
815C22⋊C4×C53C2414yes—
816C22⋊C4×C53C2414yes—
817C22⋊C4×C53C2414yes—
818C22⋊C4×C53C2414yes—
819C22⋊C4×C53C2414yes—
820C22⋊C4×C53C2414yes—
821C42×C53C2414yes—
822C42×C53C2414yes—
823C22⋊Dic53C2414yes—
824C22⋊Dic53C2414yes—
825C22⋊Dic53C2414yes—
826C22⋊Dic53C2414yes—
827C22⋊Dic53C2414yes—
828C22⋊Dic53C2414yes—
829C22⋊Dic53C2414yes—
830C22⋊Dic53C2414yes—
831C22⋊Dic53C2414yes—
832C22⋊Dic53C2414yes—
833#11719921C2414yes—
834#11719921C2414yes—
835#11719921C2414yes—
836#11719921C2414yes—
837#11719921C2414yes—
838#11719921C2414yes—
839#11719921C2414yes—
840#11719921C2414yes—
841#11719921C2414yes—
842#11719921C2414yes—
843#11719921C2414yes—
844#11719921C2414yes—
845#11719921C2414yes—
846#11719921C2414yes—
847#11719921C2414yes—
848#11719921C2414yes—
849#11719921C2414yes—
850#11719921C2414yes—
851#11719921C2414yes—
852#11719921C2414yes—
853#11719921C2414yes—
854#11719921C2414yes—
855#11719921C2414yes—
856#11719921C2414yes—
857C4⋊Dic53C2412yes—
858C4⋊Dic53C2412yes—
859C4⋊Dic53C2414yes—
860C4⋊Dic53C2414yes—
861C4⋊Dic53C2414yes—
862C4⋊Dic53C2414yes—
863C4⋊Dic53C2412yes—
864C4⋊Dic53C2412yes—
865#11719919C2414yes—
866#11719919C2414yes—
867#11719919C2414yes—
868#11719919C2414yes—
869#11719919C2414yes—
870#11719919C2414yes—
871#11719919C2414yes—
872#11719919C2414yes—
873#11719919C2414yes—
874#11719919C2414yes—
875#11719919C2414yes—
876#11719919C2414yes—
877#11719919C2414yes—
878#11719919C2414yes—
879#11719919C2414yes—
880#11719919C2414yes—
881C4×Dic53C2414yes—
882C4×Dic53C2414yes—
883C4×Dic53C2414yes—
884C4×Dic53C2414yes—
885C4×Dic53C2414yes—
886C4×Dic53C2414yes—
887C23×C53—22no—
888C23×C53—22no—
889C23×C53—22no—
890C23×C53—24no—
891C23×C53—24no—
892C23×C53—22no—
893C23×C53—22no—
894C23×C53—41no—
895C23×C53—42no—
896C23×C53—41no—
897C23×C53—41no—
898C23×C53—42no—
899C23×C53—41no—
900C23×C53—42no—
901C23×C53—42no—
902C23×C53—42no—
903C23×C53—42no—
904C23×C53—42no—
905C23×C53—88no—
906C23×C53C2512yes—
907C23×C53C2514yes—
908C23×C53C2512yes—
909C23×C53C2511yescharacteristic
910C23×C53C2511yescharacteristic
911C23×C53C2511yescharacteristic
912C22×D53—24no—
913C22×D53—22no—
914C22×D53—24no—
915C22×D53—24no—
916C22×D53—24no—
917C22×D53—24no—
918C22×D53—24no—
919C22×D53—24no—
920C22×D53—28no—
921C22×D53—41no—
922C22×D53—42no—
923C22×D53—41no—
924C22×D53—41no—
925C22×D53—42no—
926C22×D53—41no—
927C22×D53—44no—
928C22×D53—42no—
929C22×D53—42no—
930C22×D53—44no—
931C22×D53—42no—
932C22×D53—42no—
933C22×D53—42no—
934C22×D53—42no—
935C22×D53—44no—
936C22×D53—42no—
937C22×D53—44no—
938C22×D53—42no—
939C22×D53—44no—
940C22×D53—42no—
941C22×D53—416no—
942C22×D53—88no—
943C22×D53H(5,𝔽2)14yescomplemented
944C22×D53C2512yes—
945C22×D53C2514yes—
946C22×D53C2514yes—
947C22×D53C2512yes—
948Q8×C53—42no—
949Q8×C53—42no—
950D4×C53—28no—
951D4×C53—28no—
952D4×C53—28no—
953D4×C53—42no—
954D4×C53—44no—
955D4×C53—44no—
956D4×C53—42no—
957D4×C53—44no—
958C2×C4×C53—24no—
959C2×C4×C53—24no—
960C2×C4×C53—41no—
961C2×C4×C53—42no—
962C2×C4×C53—41no—
963C2×C4×C53—44no—
964C2×C4×C53—41no—
965C2×C4×C53—42no—
966C2×C4×C53—41no—
967C2×C4×C53—44no—
968C2×C4×C53—42no—
969C2×C4×C53—42no—
970C2×C4×C53—42no—
971C2×C4×C53C2512yes—
972C2×C4×C53C2514yes—
973C2×C4×C53C2514yes—
974C2×C4×C53C2512yes—
975C2×C4×C53C2512yes—
976C2×C4×C53C2512yes—
977C2×C4×C53C2514yes—
978C22⋊D53—28no—
979C22⋊D53—28no—
980C22⋊D53—28no—
981C22⋊D53—28no—
982C22⋊D53—28no—
983C22⋊D53—28no—
984C22⋊D53—28no—
985C22⋊D53—28no—
986C22⋊D53—28no—
987C22⋊D53—44no—
988C22⋊D53—44no—
989C22⋊D53—44no—
990C22⋊D53—44no—
991C22⋊D53—44no—
992C22⋊D53—44no—
993C22⋊D53—44no—
994C22⋊D53—44no—
995C22⋊D53—44no—
996C22⋊D53—44no—
997C22⋊D53—44no—
998C22⋊D53—44no—
999C22⋊D53—44no—
1000C2×Dic53—22no—
1001C2×Dic53—24no—
1002C2×Dic53—24no—
1003C2×Dic53—24no—
1004C2×Dic53—28no—
1005C2×Dic53—42no—
1006C2×Dic53—42no—
1007C2×Dic53—44no—
1008C2×Dic53—42no—
1009C2×Dic53—42no—
1010C2×Dic53—42no—
1011C2×Dic53H(5,𝔽2)14yescomplemented
1012C2×Dic53C2514yes—
1013C2×Dic53C2514yes—
1014C2×Dic53C2514yes—
1015C2×Dic53C2512yes—
1016C2×Dic53C2514yes—
1017C2×Dic53C2512yes—
1018D212—28no—
1019D212—28no—
1020D212—28no—
1021D212—44no—
1022D212—44no—
1023D212—42no—
1024D212—44no—
1025D212—44no—
1026D212—44no—
1027D212—42no—
1028D212—44no—
1029D212—44no—
1030C4×D53—28no—
1031C4×D53—24no—
1032C4×D53—24no—
1033C4×D53—24no—
1034C4×D53—24no—
1035C4×D53—28no—
1036C4×D53—42no—
1037C4×D53—42no—
1038C4×D53—42no—
1039C4×D53—42no—
1040C4×D53—44no—
1041C4×D53—44no—
1042C4×D53—44no—
1043C4×D53—44no—
1044C4×D53—44no—
1045C4×D53—44no—
1046C4×D53—44no—
1047C4×D53—44no—
1048Dic106—28no—
1049Dic106—42no—
1050Dic106—44no—
1051Dic106—42no—
1052#62818—531nomaximal, Sylow
1053C22×C53—28no—
1054C22×C53—21no—
1055C22×C53—21no—
1056C22×C53—21no—
1057C22×C53—21no—
1058C22×C53—21no—
1059C22×C53—21no—
1060C22×C53—24no—
1061C22×C53—22no—
1062C22×C53—22no—
1063C22×C53—24no—
1064C22×C53—22no—
1065C22×C53—22no—
1066C22×C53—22no—
1067C22×C53—24no—
1068C22×C53—22no—
1069C22×C53—84no—
1070C22×C53—84no—
1071C22×C53—82no—
1072C22×C53—82no—
1073C22×C53—162no—
1074C22×C53C2×H(5,𝔽2)12yes—
1075C22×C53C2×H(5,𝔽2)12yes—
1076C22×C53#58512yes—
1077C22×C53C2611yescharacteristic
1078C2×D53—22no—
1079C2×D53—22no—
1080C2×D53—22no—
1081C2×D53—24no—
1082C2×D53—24no—
1083C2×D53—24no—
1084C2×D53—24no—
1085C2×D53—22no—
1086C2×D53—24no—
1087C2×D53—24no—
1088C2×D53—22no—
1089C2×D53—44no—
1090C2×D53—48no—
1091C2×D53—48no—
1092C2×D53—44no—
1093C2×D53—88no—
1094C2×D53—84no—
1095C2×D53—84no—
1096C2×D53—84no—
1097C2×D53—164no—
1098C2×D53—162no—
1099C2×D53C2×H(5,𝔽2)14yes—
1100C4×C53—24no—
1101C4×C53—22no—
1102C4×C53—24no—
1103C4×C53—22no—
1104C4×C53—22no—
1105C4×C53—22no—
1106C4×C53—24no—
1107Dic53—24no—
1108Dic53—24no—
1109Dic53—24no—
1110Dic53—22no—
1111Dic53—24no—
1112Dic53C2×H(5,𝔽2)14yes—
1113#3542—534no—
1114#3542—534no—
1115#3537—532no—
1116#3537—532no—
1117#3536—532no—
1118#3536—532no—
1119#3534—534no—
1120#3534—534no—
1121#3519—534no—
1122#3519—534no—
1123#3505—534no—
1124#3496—534no—
1125#3494—534no—
1126#3492—532no—
1127#3490—532no—
1128#3490—531no—
1129#3490D5311yescharacteristic, complemented
1130#3488—534no—
1131#3484—532no—
1132#3484—532no—
1133#3484—532no—
1134C2×#525—532no—
1135C22×#121—531no—
1136C2×C53—22no—
1137C2×C53—22no—
1138C2×C53—22no—
1139C2×C53—44no—
1140C2×C53—42no—
1141C2×C53—42no—
1142C2×C53C22×H(5,𝔽2)11yescharacteristic
1143C2×C53C22×H(5,𝔽2)11yescharacteristic
1144C2×C53C2×#58511yescharacteristic
1145D53—24no—
1146D53—42no—
1147D53—44no—
1148D53—44no—
1149C2×H(5,𝔽2)—532no—
1150C2×H(5,𝔽2)—532no—
1151C2×H(5,𝔽2)—532no—
1152C22×#41—532no—
1153C23×D4—531no—
1154C23×D4—531no—
1155C23×D4—531no—
1156C24×C4—531no—
1157#562—534no—
1158#562—534no—
1159#562—534no—
1160#562—534no—
1161#560—534no—
1162#560—534no—
1163#560—534no—
1164#560—534no—
1165#555—534no—
1166#555—534no—
1167#554—534no—
1168#554—534no—
1169#553—534no—
1170#553—534no—
1171#553—534no—
1172#553—534no—
1173#553—534no—
1174#553—534no—
1175#553—534no—
1176#553—534no—
1177#553—534no—
1178#553—534no—
1179#552—534no—
1180#552—534no—
1181#551—534no—
1182#551—534no—
1183#551—534no—
1184#551—534no—
1185#551—534no—
1186#551—534no—
1187#551C2×D5314yescomplemented
1188#551C2×D5314yescomplemented
1189#550—534no—
1190#550—534no—
1191#548—534no—
1192#548—534no—
1193#547—534no—
1194#547—534no—
1195#547—534no—
1196#547—534no—
1197#546—534no—
1198#546—534no—
1199#546—534no—
1200#546—534no—
1201#546—534no—
1202#546—534no—
1203#546—534no—
1204#546—534no—
1205#546—534no—
1206#546—534no—
1207#546—534no—
1208#546—534no—
1209#546—534no—
1210#546—534no—
1211#546—534no—
1212#546—534no—
1213#546—534no—
1214#546—534no—
1215#546—534no—
1216#546—534no—
1217#546—534no—
1218#546—534no—
1219#546—534no—
1220#546—534no—
1221#546C2×D5314yescomplemented
1222#546C2×D5314yescomplemented
1223D42—534no—
1224D42—534no—
1225D42—534no—
1226D42—534no—
1227D42—534no—
1228D42—534no—
1229D42—534no—
1230D42—534no—
1231D42—534no—
1232D42—534no—
1233D42—534no—
1234D42—534no—
1235D42—534no—
1236D42—534no—
1237#544—532no—
1238#543—532no—
1239#543—531no—
1240#543C2×D5311yescharacteristic, complemented
1241#542—534no—
1242#542—534no—
1243#540—534no—
1244#540—534no—
1245#540—534no—
1246#540—534no—
1247#540—534no—
1248#540—534no—
1249#539—534no—
1250#539—532no—
1251#539—534no—
1252#539—532no—
1253#539—534no—
1254#538—534no—
1255#538—534no—
1256#538—534no—
1257#538—534no—
1258#538—532no—
1259#538—532no—
1260#538—534no—
1261#538—534no—
1262#538—532no—
1263#538—532no—
1264#538—534no—
1265#538C2×D5312yescomplemented
1266#538C2×D5312yescomplemented
1267#537—534no—
1268#537—534no—
1269#537—532no—
1270#537—534no—
1271#537—534no—
1272#535—532no—
1273#535—534no—
1274#535—534no—
1275#535—534no—
1276#535—534no—
1277#535—532no—
1278#534—532no—
1279#534—532no—
1280#534—534no—
1281#534—534no—
1282#534—534no—
1283#534—532no—
1284#534—534no—
1285#534—534no—
1286#534—534no—
1287#534—532no—
1288#534—532no—
1289#534—531no—
1290#534C2×D5311yescharacteristic, complemented
1291#532—534no—
1292#532—534no—
1293#529—534no—
1294#529—534no—
1295#525—532no—
1296#525—532no—
1297#525—532no—
1298#525—534no—
1299#525—534no—
1300#525—532no—
1301#525—532no—
1302#525—532no—
1303#525—532no—
1304#525—534no—
1305#525—534no—
1306#525—534no—
1307#525—534no—
1308#525—534no—
1309#525—532no—
1310#525C2×D5312yescomplemented
1311#525C2×D5312yescomplemented
1312C2×#123—534no—
1313C2×C22⋊Q8—532no—
1314C2×C22⋊Q8—532no—
1315C2×#121—532no—
1316C2×#121—532no—
1317C2×#121—534no—
1318C2×#121—534no—
1319C2×#121—534no—
1320C2×#121—532no—
1321C2×#121—532no—
1322C2×#121—534no—
1323C2×#121—532no—
1324C2×#121—532no—
1325C2×#121—534no—
1326C2×#121—534no—
1327C2×#120—532no—
1328C2×#120—534no—
1329C2×#120—534no—
1330C2×#120C2×D5312yescomplemented
1331#520—534no—
1332#518—534no—
1333#518—532no—
1334#518—532no—
1335#518—532no—
1336#518—532no—
1337#518C2×D5312yescomplemented
1338C2×C4×D4—534no—
1339C2×C4×D4—534no—
1340C2×#117—532no—
1341C22×C4⋊C4—531no—
1342C22×C22⋊C4—531no—
1343C22×C22⋊C4C2×D5311yescharacteristic, complemented
1344C53#6281811yescharacteristic, complemented, Sylow
1345C25—531no—
1346C25—531no—
1347C25C22×D5311yescharacteristic
1348H(5,𝔽2)—2128no—
1349H(5,𝔽2)—2128no—
1350H(5,𝔽2)—2128no—
1351C2×#41—532no—
1352C2×#41—534no—
1353C2×#41—534no—
1354C2×#41—532no—
1355C2×#41—534no—
1356C2×#41—534no—
1357C2×#41—534no—
1358C2×#41—532no—
1359C2×#41—534no—
1360C2×#41—532no—
1361C2×#41—534no—
1362C2×#41—534no—
1363C2×#41—534no—
1364C2×#41—2128no—
1365C2×#41C22×D5312yes—
1366C2×#41C22×D5312yes—
1367C22×Q8—532no—
1368C22×D4—532no—
1369C22×D4—532no—
1370C22×D4—532no—
1371C22×D4—532no—
1372C22×D4—532no—
1373C22×D4—532no—
1374C22×D4—532no—
1375C22×D4—532no—
1376C22×D4—534no—
1377C22×D4—532no—
1378C22×D4—532no—
1379C22×D4—534no—
1380C22×D4—532no—
1381C22×D4—534no—
1382C22×D4—534no—
1383C22×D4—534no—
1384C22×D4—534no—
1385C22×D4—534no—
1386C22×D4—534no—
1387C22×D4—534no—
1388C22×D4—534no—
1389C22×D4—532no—
1390C22×D4—534no—
1391C22×D4—534no—
1392C22×D4—534no—
1393C22×D4—532no—
1394C22×D4—532no—
1395C22×D4—532no—
1396C22×D4—534no—
1397C22×D4—532no—
1398C22×D4—534no—
1399C22×D4—2124no—
1400C22×D4—2124no—
1401C22×D4—2124no—
1402C22×D4C22×D5312yes—
1403C22×D4C22×D5312yes—
1404C22×D4C22×D5312yes—
1405C23×C4—531no—
1406C23×C4—531no—
1407C23×C4—532no—
1408C23×C4—532no—
1409C23×C4—532no—
1410C23×C4—534no—
1411C23×C4—532no—
1412C23×C4—532no—
1413C23×C4—532no—
1414C23×C4—2124no—
1415C23×C4C22×D5311yescharacteristic
1416C23×C4C22×D5311yescharacteristic
1417C4⋊Q8—534no—
1418C4⋊Q8—534no—
1419#127—534no—
1420#127—534no—
1421#127—534no—
1422#127—534no—
1423#127—534no—
1424#127—534no—
1425#126—534no—
1426#126—534no—
1427#126—534no—
1428#126—534no—
1429#126—534no—
1430#126—534no—
1431#126—534no—
1432#126—534no—
1433#126—534no—
1434#126—534no—
1435#126C22×D5314yescomplemented
1436#126C22×D5314yescomplemented
1437#125—534no—
1438#125—534no—
1439#125—534no—
1440#125—534no—
1441#125—534no—
1442#125—534no—
1443#124—534no—
1444#124—534no—
1445#124—534no—
1446#124—534no—
1447#124—534no—
1448#124—534no—
1449#124—534no—
1450#124—534no—
1451#124—534no—
1452#124—534no—
1453#124—534no—
1454#124—534no—
1455#124C22×D5314yescomplemented
1456#124C22×D5314yescomplemented
1457#123—534no—
1458#123—534no—
1459#123—534no—
1460#123—534no—
1461#123—534no—
1462#123—534no—
1463#123—534no—
1464#123—534no—
1465#123—534no—
1466#123—534no—
1467#123—534no—
1468#123—534no—
1469#123—534no—
1470#123—534no—
1471#123—534no—
1472#123—534no—
1473#123—534no—
1474#123—534no—
1475#123—534no—
1476#123—534no—
1477#123—534no—
1478#123—534no—
1479#123—534no—
1480#123—534no—
1481#123—534no—
1482#123—534no—
1483#123—534no—
1484#123—534no—
1485#123—534no—
1486#123—534no—
1487#123—534no—
1488#123—534no—
1489#123—534no—
1490#123—534no—
1491#123—534no—
1492#123C22×D5314yes—
1493#123C22×D5314yes—
1494#123C22×D5314yescomplemented
1495#123C22×D5314yescomplemented
1496#123C22×D5314yescomplemented
1497C22⋊Q8—532no—
1498C22⋊Q8—532no—
1499C22⋊Q8—534no—
1500C22⋊Q8—534no—
1501C22⋊Q8—532no—
1502C22⋊Q8—532no—
1503C22⋊Q8—532no—
1504C22⋊Q8—532no—
1505C22⋊Q8—534no—
1506C22⋊Q8—534no—
1507C22⋊Q8—534no—
1508C22⋊Q8—532no—
1509C22⋊Q8—532no—
1510C22⋊Q8—534no—
1511C22⋊Q8—534no—
1512C22⋊Q8—534no—
1513C22⋊Q8—534no—
1514C22⋊Q8—534no—
1515C22⋊Q8—534no—
1516C22⋊Q8—534no—
1517C22⋊Q8—534no—
1518C22⋊Q8—534no—
1519C22⋊Q8—534no—
1520C22⋊Q8—534no—
1521C22⋊Q8—534no—
1522C22⋊Q8—534no—
1523C22⋊Q8C22×D5312yes—
1524C22⋊Q8C22×D5312yes—
1525C22⋊Q8C22×D5312yes—
1526C22⋊Q8C22×D5312yes—
1527C22⋊Q8C22×D5314yescomplemented
1528C22⋊Q8C22×D5314yescomplemented
1529#121—532no—
1530#121—534no—
1531#121—534no—
1532#121—532no—
1533#121—534no—
1534#121—534no—
1535#121—534no—
1536#121—534no—
1537#121—534no—
1538#121—534no—
1539#121—534no—
1540#121—534no—
1541#121—534no—
1542#121—534no—
1543#121—534no—
1544#121—534no—
1545#121—534no—
1546#121—534no—
1547#121—534no—
1548#121—534no—
1549#121—532no—
1550#121—532no—
1551#121—534no—
1552#121—532no—
1553#121—532no—
1554#121—534no—
1555#121—534no—
1556#121—534no—
1557#121—534no—
1558#121—534no—
1559#121—534no—
1560#121—532no—
1561#121—532no—
1562#121—534no—
1563#121—534no—
1564#121—534no—
1565#121—534no—
1566#121—534no—
1567#121—534no—
1568#121—534no—
1569#121—534no—
1570#121—534no—
1571#121—534no—
1572#121—534no—
1573#121—534no—
1574#121—534no—
1575#121—534no—
1576#121—534no—
1577#121—534no—
1578#121—534no—
1579#121—534no—
1580#121—534no—
1581#121—534no—
1582#121—534no—
1583#121—534no—
1584#121—534no—
1585#121—534no—
1586#121—534no—
1587#121—534no—
1588#121—534no—
1589#121—534no—
1590#121—534no—
1591#121—534no—
1592#121—534no—
1593#121—534no—
1594#121—534no—
1595#121—534no—
1596#121—534no—
1597#121—534no—
1598#121—534no—
1599#121—534no—
1600#121—534no—
1601#121—534no—
1602#121—534no—
1603#121C22×D5312yes—
1604#121C22×D5312yes—
1605#121C22×D5312yes—
1606#121C22×D5312yes—
1607#121C22×D5314yescomplemented
1608#121C22×D5314yescomplemented
1609#120—534no—
1610#120—534no—
1611#120—534no—
1612#120—534no—
1613#120—534no—
1614#120—534no—
1615#120—534no—
1616#120—534no—
1617#120—534no—
1618#120—534no—
1619#120—534no—
1620#120—534no—
1621#120—534no—
1622#120—534no—
1623#120—534no—
1624#120—534no—
1625#120—534no—
1626#120—534no—
1627#120—534no—
1628#120—534no—
1629#120—534no—
1630#120—534no—
1631#120—534no—
1632#120—534no—
1633#120—534no—
1634#120—534no—
1635#120—534no—
1636#120—534no—
1637#120—534no—
1638#120—534no—
1639#120—534no—
1640#120C22×D5314yes—
1641#120C22×D5314yes—
1642#120C22×D5314yes—
1643#120C22×D5314yes—
1644#120C22×D5314yescomplemented
1645C4×Q8—534no—
1646C4×Q8—534no—
1647C4×D4—534no—
1648C4×D4—534no—
1649C4×D4—534no—
1650C4×D4—534no—
1651C4×D4—534no—
1652C4×D4—534no—
1653C4×D4—534no—
1654C4×D4—534no—
1655C4×D4—534no—
1656C4×D4—534no—
1657C4×D4—534no—
1658C4×D4—534no—
1659C4×D4—534no—
1660C4×D4—534no—
1661C4×D4—534no—
1662C4×D4—534no—
1663C4×D4—534no—
1664C4×D4—534no—
1665C4×D4—534no—
1666C4×D4—534no—
1667C4×D4—534no—
1668C4×D4—534no—
1669C4×D4—534no—
1670C4×D4—534no—
1671C4×D4—534no—
1672C4×D4—534no—
1673C4×D4—534no—
1674C4×D4—534no—
1675C4×D4—534no—
1676C4×D4—534no—
1677C4×D4—534no—
1678C4×D4—534no—
1679C4×D4—534no—
1680C4×D4—534no—
1681C4×D4—534no—
1682C4×D4—534no—
1683C4×D4—534no—
1684C4×D4—534no—
1685C4×D4—534no—
1686C4×D4—534no—
1687C4×D4C22×D5314yes—
1688C4×D4C22×D5314yes—
1689C4×D4C22×D5314yes—
1690C4×D4C22×D5314yes—
1691C4×D4C22×D5314yescomplemented
1692C4×D4C22×D5314yescomplemented
1693#117—532no—
1694#117—532no—
1695#117—532no—
1696#117—532no—
1697#117—534no—
1698#117—534no—
1699#117—534no—
1700#117—534no—
1701#117—534no—
1702#117—534no—
1703#117—534no—
1704#117—534no—
1705#117C22×D5312yes—
1706#117C22×D5312yes—
1707#117C22×D5314yescomplemented
1708C2×C4⋊C4—532no—
1709C2×C4⋊C4—532no—
1710C2×C4⋊C4—534no—
1711C2×C4⋊C4—532no—
1712C2×C4⋊C4—532no—
1713C2×C4⋊C4—534no—
1714C2×C4⋊C4—532no—
1715C2×C4⋊C4—532no—
1716C2×C4⋊C4—534no—
1717C2×C4⋊C4—534no—
1718C2×C4⋊C4—534no—
1719C2×C22⋊C4—532no—
1720C2×C22⋊C4—532no—
1721C2×C22⋊C4—532no—
1722C2×C22⋊C4—532no—
1723C2×C22⋊C4—532no—
1724C2×C22⋊C4—534no—
1725C2×C22⋊C4—534no—
1726C2×C22⋊C4—534no—
1727C2×C22⋊C4—534no—
1728C2×C22⋊C4—534no—
1729C2×C22⋊C4—534no—
1730C2×C22⋊C4—534no—
1731C2×C22⋊C4—534no—
1732C2×C22⋊C4—534no—
1733C2×C22⋊C4—534no—
1734C2×C22⋊C4—534no—
1735C2×C22⋊C4—534no—
1736C2×C22⋊C4—534no—
1737C2×C22⋊C4C22×D5311yescharacteristic
1738C2×C22⋊C4C22×D5311yescharacteristic
1739C2×C22⋊C4C22×D5311yescharacteristic
1740C2×C22⋊C4C22×D5311yescharacteristic
1741C2×C22⋊C4C22×D5314yes—
1742C2×C22⋊C4C22×D5314yes—
1743C2×C22⋊C4C22×D5312yes—
1744C2×C22⋊C4C22×D5312yes—
1745C2×C22⋊C4C22×D5312yes—
1746C2×C22⋊C4C22×D5314yescomplemented
1747C2×C42—534no—
1748C24—42no—
1749C24—42no—
1750C24—42no—
1751C24—531no—
1752C24—532no—
1753C24—532no—
1754C24—532no—
1755C24—532no—
1756C24—532no—
1757C24—534no—
1758C24—531no—
1759C24—534no—
1760C24—532no—
1761C24—1064no—
1762C24—2122no—
1763C24—2122no—
1764C24—2122no—
1765C24—2122no—
1766C24—2122no—
1767C24C23×D5311yescharacteristic
1768C24C23×D5311yescharacteristic
1769C24C23×D5312yes—
1770C24C23×D5312yes—
1771C24C23×D5311yescharacteristic
1772C24C23×D5312yes—
1773#41—44no—
1774#41—44no—
1775#41—10616no—
1776#41—2124no—
1777#41—2124no—
1778#41—2128no—
1779#41—2128no—
1780#41—2128no—
1781#41—2128no—
1782#41—2124no—
1783#41—2124no—
1784#41—2128no—
1785#41—2128no—
1786#41—2128no—
1787#41—2128no—
1788C2×Q8—534no—
1789C2×Q8—532no—
1790C2×Q8—532no—
1791C2×Q8—534no—
1792C2×Q8—2124no—
1793C2×Q8C23×D5312yes—
1794C2×Q8C23×D5312yes—
1795C2×D4—44no—
1796C2×D4—44no—
1797C2×D4—44no—
1798C2×D4—534no—
1799C2×D4—534no—
1800C2×D4—534no—
1801C2×D4—534no—
1802C2×D4—534no—
1803C2×D4—534no—
1804C2×D4—534no—
1805C2×D4—534no—
1806C2×D4—534no—
1807C2×D4—534no—
1808C2×D4—534no—
1809C2×D4—534no—
1810C2×D4—534no—
1811C2×D4—534no—
1812C2×D4—534no—
1813C2×D4—534no—
1814C2×D4—534no—
1815C2×D4—534no—
1816C2×D4—534no—
1817C2×D4—534no—
1818C2×D4—534no—
1819C2×D4—534no—
1820C2×D4—534no—
1821C2×D4—534no—
1822C2×D4—534no—
1823C2×D4—534no—
1824C2×D4—534no—
1825C2×D4—532no—
1826C2×D4—534no—
1827C2×D4—534no—
1828C2×D4—534no—
1829C2×D4—532no—
1830C2×D4—534no—
1831C2×D4—534no—
1832C2×D4—1068no—
1833C2×D4—1068no—
1834C2×D4—10616no—
1835C2×D4—1068no—
1836C2×D4—2124no—
1837C2×D4—2124no—
1838C2×D4—2128no—
1839C2×D4—2124no—
1840C2×D4—2128no—
1841C2×D4—2124no—
1842C2×D4—2128no—
1843C2×D4—2124no—
1844C2×D4—2128no—
1845C2×D4—2124no—
1846C2×D4—2128no—
1847C2×D4—2124no—
1848C2×D4—2124no—
1849C2×D4—2128no—
1850C2×D4—2128no—
1851C2×D4—2128no—
1852C2×D4—2128no—
1853C2×D4—2128no—
1854C2×D4—2128no—
1855C2×D4—2128no—
1856C2×D4—2124no—
1857C2×D4—2124no—
1858C2×D4—2124no—
1859C2×D4—2124no—
1860C2×D4—2128no—
1861C2×D4—2124no—
1862C2×D4—2128no—
1863C2×D4C23×D5314yes—
1864C2×D4C23×D5314yes—
1865C2×D4C23×D5314yes—
1866C2×D4C23×D5314yes—
1867C2×D4C23×D5312yes—
1868C2×D4C23×D5314yes—
1869C2×D4C23×D5314yes—
1870C2×D4C23×D5312yes—
1871C22×C4—42no—
1872C22×C4—42no—
1873C22×C4—531no—
1874C22×C4—532no—
1875C22×C4—532no—
1876C22×C4—532no—
1877C22×C4—531no—
1878C22×C4—534no—
1879C22×C4—532no—
1880C22×C4—532no—
1881C22×C4—532no—
1882C22×C4—532no—
1883C22×C4—532no—
1884C22×C4—534no—
1885C22×C4—532no—
1886C22×C4—534no—
1887C22×C4—532no—
1888C22×C4—534no—
1889C22×C4—532no—
1890C22×C4—532no—
1891C22×C4—534no—
1892C22×C4—532no—
1893C22×C4—534no—
1894C22×C4—532no—
1895C22×C4—534no—
1896C22×C4—534no—
1897C22×C4—534no—
1898C22×C4—534no—
1899C22×C4—534no—
1900C22×C4—534no—
1901C22×C4—532no—
1902C22×C4—532no—
1903C22×C4—1068no—
1904C22×C4—1064no—
1905C22×C4—2124no—
1906C22×C4—2124no—
1907C22×C4—2124no—
1908C22×C4—2124no—
1909C22×C4—2124no—
1910C22×C4—2128no—
1911C22×C4—2122no—
1912C22×C4C23×D5312yes—
1913C22×C4C23×D5312yes—
1914C22×C4C23×D5311yescharacteristic
1915C22×C4C23×D5312yes—
1916C22×C4C23×D5311yescharacteristic
1917C22×C4C23×D5314yes—
1918C22×C4C23×D5311yescharacteristic
1919C22×C4C23×D5312yes—
1920C22×C4C23×D5311yescharacteristic
1921C22×C4C23×D5312yes—
1922C22×C4C23×D5312yes—
1923C22×C4C23×D5312yes—
1924C22×C4C23×D5314yes—
1925C4⋊C4—534no—
1926C4⋊C4—534no—
1927C4⋊C4—534no—
1928C4⋊C4—534no—
1929C4⋊C4—534no—
1930C4⋊C4—534no—
1931C4⋊C4—534no—
1932C4⋊C4—532no—
1933C4⋊C4—532no—
1934C4⋊C4—534no—
1935C4⋊C4—534no—
1936C4⋊C4—534no—
1937C4⋊C4—534no—
1938C4⋊C4—534no—
1939C4⋊C4—534no—
1940C4⋊C4—534no—
1941C4⋊C4—534no—
1942C4⋊C4—534no—
1943C4⋊C4—532no—
1944C4⋊C4—534no—
1945C4⋊C4—532no—
1946C4⋊C4—534no—
1947C4⋊C4—534no—
1948C4⋊C4—534no—
1949C4⋊C4C23×D5312yes—
1950C4⋊C4C23×D5312yes—
1951C4⋊C4C23×D5314yes—
1952C4⋊C4C23×D5314yes—
1953C4⋊C4C23×D5314yes—
1954C4⋊C4C23×D5312yes—
1955C4⋊C4C23×D5312yes—
1956C4⋊C4C23×D5314yes—
1957C22⋊C4—534no—
1958C22⋊C4—534no—
1959C22⋊C4—534no—
1960C22⋊C4—534no—
1961C22⋊C4—534no—
1962C22⋊C4—534no—
1963C22⋊C4—534no—
1964C22⋊C4—534no—
1965C22⋊C4—534no—
1966C22⋊C4—534no—
1967C22⋊C4—534no—
1968C22⋊C4—534no—
1969C22⋊C4—534no—
1970C22⋊C4—534no—
1971C22⋊C4—534no—
1972C22⋊C4—534no—
1973C22⋊C4—534no—
1974C22⋊C4—534no—
1975C22⋊C4—534no—
1976C22⋊C4—534no—
1977C22⋊C4—534no—
1978C22⋊C4—534no—
1979C22⋊C4—534no—
1980C22⋊C4—534no—
1981C22⋊C4—534no—
1982C22⋊C4—534no—
1983C22⋊C4—534no—
1984C22⋊C4—534no—
1985C22⋊C4—534no—
1986C22⋊C4—534no—
1987C22⋊C4—534no—
1988C22⋊C4—534no—
1989C22⋊C4—534no—
1990C22⋊C4—534no—
1991C22⋊C4C23×D5314yes—
1992C22⋊C4C23×D5314yes—
1993C22⋊C4C23×D5314yes—
1994C22⋊C4C23×D5314yes—
1995C22⋊C4C23×D5314yes—
1996C22⋊C4C23×D5314yes—
1997C22⋊C4C23×D5314yes—
1998C22⋊C4C23×D5314yes—
1999C22⋊C4C23×D5314yes—
2000C22⋊C4C23×D5314yes—
2001C22⋊C4C23×D5314yes—
2002C22⋊C4C23×D5314yes—
2003C22⋊C4C23×D5314yes—
2004C22⋊C4C23×D5314yes—
2005C42—534no—
2006C42—534no—
2007C42—534no—
2008C42—534no—
2009C42—534no—
2010C42—534no—
2011C42C23×D5314yes—
2012C42C23×D5314yes—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—24no—
2017C23—24no—
2018C23—22no—
2019C23—22no—
2020C23—41no—
2021C23—42no—
2022C23—41no—
2023C23—41no—
2024C23—42no—
2025C23—41no—
2026C23—42no—
2027C23—42no—
2028C23—42no—
2029C23—42no—
2030C23—42no—
2031C23—88no—
2032C23—532no—
2033C23—534no—
2034C23—534no—
2035C23—532no—
2036C23—534no—
2037C23—1068no—
2038C23—1064no—
2039C23—1064no—
2040C23—1064no—
2041C23—1064no—
2042C23—1064no—
2043C23—1064no—
2044C23—1062no—
2045C23—1064no—
2046C23—4248no—
2047C23—2124no—
2048C23—2124no—
2049C23—2122no—
2050C23—2122no—
2051C23—2122no—
2052C23—2124no—
2053C23—2124no—
2054C23—2122no—
2055C23—2122no—
2056C23—2122no—
2057C23—2122no—
2058C23—2124no—
2059C23—2122no—
2060C23—2122no—
2061C23—2121no—
2062C23—2122no—
2063C23—2121no—
2064C23—2121no—
2065C23—2122no—
2066C23—2121no—
2067C23—21216no—
2068C23C24×D5312yes—
2069C23C24×D5314yes—
2070C23C24×D5312yes—
2071C23C24×D5311yescharacteristic
2072C23C24×D5311yescharacteristic
2073C23C24×D5311yescharacteristic
2074Q8—42no—
2075Q8—42no—
2076Q8—1068no—
2077Q8—2122no—
2078Q8—2122no—
2079Q8—2124no—
2080D4—28no—
2081D4—28no—
2082D4—28no—
2083D4—44no—
2084D4—44no—
2085D4—44no—
2086D4—42no—
2087D4—42no—
2088D4—1068no—
2089D4—1068no—
2090D4—1068no—
2091D4—1068no—
2092D4—1068no—
2093D4—1068no—
2094D4—1068no—
2095D4—1068no—
2096D4—1068no—
2097D4—1068no—
2098D4—1068no—
2099D4—1068no—
2100D4—2124no—
2101D4—2124no—
2102D4—2124no—
2103D4—2124no—
2104D4—2122no—
2105D4—2124no—
2106D4—2124no—
2107D4—2122no—
2108D4—2124no—
2109D4—2124no—
2110D4—2124no—
2111D4—2124no—
2112D4—2124no—
2113D4—2124no—
2114D4—2124no—
2115D4—2124no—
2116D4—2124no—
2117D4—2124no—
2118D4—2124no—
2119D4—2124no—
2120D4—2124no—
2121D4—2124no—
2122C2×C4—24no—
2123C2×C4—24no—
2124C2×C4—41no—
2125C2×C4—42no—
2126C2×C4—41no—
2127C2×C4—41no—
2128C2×C4—42no—
2129C2×C4—41no—
2130C2×C4—44no—
2131C2×C4—42no—
2132C2×C4—42no—
2133C2×C4—42no—
2134C2×C4—44no—
2135C2×C4—534no—
2136C2×C4—532no—
2137C2×C4—534no—
2138C2×C4—534no—
2139C2×C4—534no—
2140C2×C4—534no—
2141C2×C4—532no—
2142C2×C4—1064no—
2143C2×C4—1064no—
2144C2×C4—1064no—
2145C2×C4—1064no—
2146C2×C4—1068no—
2147C2×C4—1068no—
2148C2×C4—1064no—
2149C2×C4—1064no—
2150C2×C4—1068no—
2151C2×C4—1062no—
2152C2×C4—1064no—
2153C2×C4—2122no—
2154C2×C4—2122no—
2155C2×C4—2122no—
2156C2×C4—2122no—
2157C2×C4—2124no—
2158C2×C4—2124no—
2159C2×C4—2124no—
2160C2×C4—2124no—
2161C2×C4—2124no—
2162C2×C4—2124no—
2163C2×C4—2124no—
2164C2×C4—2124no—
2165C2×C4—2122no—
2166C2×C4—2122no—
2167C2×C4—2122no—
2168C2×C4—2124no—
2169C2×C4—2122no—
2170C2×C4—2122no—
2171C2×C4C24×D5314yes—
2172C2×C4C24×D5312yes—
2173C2×C4C24×D5312yes—
2174C2×C4C24×D5314yes—
2175C2×C4C24×D5314yes—
2176C2×C4C24×D5312yes—
2177C2×C4C24×D5312yes—
2178C22—28no—
2179C22—21no—
2180C22—21no—
2181C22—21no—
2182C22—21no—
2183C22—21no—
2184C22—21no—
2185C22—24no—
2186C22—24no—
2187C22—22no—
2188C22—22no—
2189C22—22no—
2190C22—22no—
2191C22—22no—
2192C22—22no—
2193C22—24no—
2194C22—84no—
2195C22—84no—
2196C22—82no—
2197C22—82no—
2198C22—162no—
2199C22—534no—
2200C22—8482no—
2201C22—8484no—
2202C22—1062no—
2203C22—1062no—
2204C22—1062no—
2205C22—1064no—
2206C22—1064no—
2207C22—1064no—
2208C22—1064no—
2209C22—1062no—
2210C22—1064no—
2211C22—1064no—
2212C22—1062no—
2213C22—4244no—
2214C22—4244no—
2215C22—4244no—
2216C22—4248no—
2217C22—2124no—
2218C22—2128no—
2219C22—2128no—
2220C22—2124no—
2221C22H(5,𝔽2)×D5312yes—
2222C22H(5,𝔽2)×D5312yes—
2223C22#1681145912yes—
2224C22C25×D5311yescharacteristic
2225C4—22no—
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—24no—
2230C4—24no—
2231C4—24no—
2232C4—534no—
2233C4—1062no—
2234C4—1064no—
2235C4—1064no—
2236C4—1064no—
2237C4—1064no—
2238C2—22no—
2239C2—22no—
2240C2—22no—
2241C2—42no—
2242C2—42no—
2243C2—44no—
2244C2—1064no—
2245C2—2124no—
2246C2—2124no—
2247C2—2122no—
2248C2C2×H(5,𝔽2)×D5311yescharacteristic
2249C2C2×H(5,𝔽2)×D5311yescharacteristic
2250C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3490C2
hypercenter#3490D53
hypocenterC53#62818
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3490

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20289024C2semidirect
2. #20289016C2semidirect
3. #20288952C2semidirect
4. #20288947C2semidirect
5. #20288941C2semidirect
6. #20288936C2semidirect
7. #20288908C2semidirect
8. #20288897C2semidirect
9. #20288739C2semidirect
10. #20288737C2semidirect
11. #20288546C2semidirect
12. #20288475C2semidirect
13. #20288441C2semidirect
14. #20288416C2semidirect
15. #20288404C2semidirect
16. #20288398C2semidirect
17. #20288378C2semidirect
18. #20288348C2semidirect
19. #20288344C2semidirect
20. #20288344C2semidirect
21. #525×D53C2semidirect
22. C22×#13133190C2semidirect
23. C53×#3490C2semidirect
24. C2×#13133263C22semidirect
25. C2×#13133262C22semidirect
26. C2×#13133262C22semidirect
27. C2×#41×D53C22semidirect
28. C23×D212C22semidirect
29. C23×C22⋊D53C22semidirect
30. C23×C22⋊D53C22semidirect
31. C23×C4×D53C22semidirect
32. #16811370C22semidirect
33. #16811369C22semidirect
34. #16811369C22semidirect
35. #16811367C22semidirect
36. #16811364C22semidirect
37. #16811363C22semidirect
38. #16811362C22semidirect
39. #16811361C22semidirect
40. #16811336C22semidirect
41. #16811335C22semidirect
42. #16811332C22semidirect
43. #16811327C22semidirect
44. #16811324C22semidirect
45. #16811324C22semidirect
46. #16811324C22semidirect
47. #16811323C22semidirect
48. #16811322C22semidirect
49. #16811322C22semidirect
50. #16811318C22semidirect
51. #16811318C22semidirect
52. #16811317C22semidirect
53. #16811316C22semidirect
54. #16811310C22semidirect
55. #16811306C22semidirect
56. #16811302C22semidirect
57. #16811300C22semidirect
58. #16811299C22semidirect
59. #16811299C22semidirect
60. #16811297C22semidirect
61. #16811296C22semidirect
62. #16811294C22semidirect
63. #16811291C22semidirect
64. #16811283C22semidirect
65. #16811281C22semidirect
66. #16811275C22semidirect
67. #16811272C22semidirect
68. #16811271C22semidirect
69. #16811271C22semidirect
70. #16811269C22semidirect
71. #16811269C22semidirect
72. #16811269C22semidirect
73. #16811268C22semidirect
74. #16811266C22semidirect
75. #16811265C22semidirect
76. #16811265C22semidirect
77. #16811264C22semidirect
78. #16811264C22semidirect
79. #16811263C22semidirect
80. #16811263C22semidirect
81. #16811263C22semidirect
82. #16811263C22semidirect
83. #16811263C22semidirect
84. #16811263C22semidirect
85. #16811263C22semidirect
86. #16811263C22semidirect
87. #16811262C22semidirect
88. #16811262C22semidirect
89. #16811261C22semidirect
90. #16811260C22semidirect
91. #16811260C22semidirect
92. #16811260C22semidirect
93. #16811260C22semidirect
94. D4×D212C22semidirect
95. D4×D212C22semidirect
96. #16811257C22semidirect
97. #16811257C22semidirect
98. #16811257C22semidirect
99. D4×C22⋊D53C22semidirect
100. D4×C22⋊D53C22semidirect
101. D4×C22⋊D53C22semidirect
102. D4×C22⋊D53C22semidirect
103. #16811255C22semidirect
104. #16811255C22semidirect
105. #16811255C22semidirect
106. #16811255C22semidirect
107. #16811255C22semidirect
108. #16811252C22semidirect
109. #16811249C22semidirect
110. #16811248C22semidirect
111. #16811243C22semidirect
112. #16811239C22semidirect
113. #16811228C22semidirect
114. #16811225C22semidirect
115. #16811225C22semidirect
116. #16811225C22semidirect
117. #16811224C22semidirect
118. #16811223C22semidirect
119. #16811222C22semidirect
120. #16811219C22semidirect
121. #16811218C22semidirect
122. #16811215C22semidirect
123. #16811214C22semidirect
124. #16811213C22semidirect
125. #16811212C22semidirect
126. #16811211C22semidirect
127. #16811211C22semidirect
128. #16811211C22semidirect
129. #16811210C22semidirect
130. #16811209C22semidirect
131. #16811207C22semidirect
132. #16811207C22semidirect
133. #16811206C22semidirect
134. #16811206C22semidirect
135. #16811203C22semidirect
136. #16811203C22semidirect
137. #16811202C22semidirect
138. #16811200C22semidirect
139. #16811200C22semidirect
140. #16811192C22semidirect
141. #16811191C22semidirect
142. #16811188C22semidirect
143. #16811188C22semidirect
144. #16811188C22semidirect
145. #16811187C22semidirect
146. #16811185C22semidirect
147. #16811185C22semidirect
148. #16811185C22semidirect
149. #16811184C22semidirect
150. #16811184C22semidirect
151. #16811184C22semidirect
152. #16811183C22semidirect
153. #16811183C22semidirect
154. #16811183C22semidirect
155. #16811182C22semidirect
156. #16811182C22semidirect
157. #16811181C22semidirect
158. #16811172C22semidirect
159. #16811170C22semidirect
160. #16811156C22semidirect
161. #16811151C22semidirect
162. #16811136C22semidirect
163. #16811136C22semidirect
164. #16811135C22semidirect
165. #16811134C22semidirect
166. #16811134C22semidirect
167. #16811133C22semidirect
168. #16811133C22semidirect
169. #16811132C22semidirect
170. #16811132C22semidirect
171. #16811132C22semidirect
172. #16811131C22semidirect
173. #16811131C22semidirect
174. #16811130C22semidirect
175. #16811129C22semidirect
176. #16811129C22semidirect
177. #123×D53C22semidirect
178. C22⋊Q8×D53C22semidirect
179. C22⋊Q8×D53C22semidirect
180. C2×#13133190C22semidirect
181. C2×#13133190C22semidirect
182. C2×#13133190C22semidirect
183. C2×#13133190C22semidirect
184. C2×#13133190C22semidirect
185. C2×#13133190C22semidirect
186. C2×#13133190C22semidirect
187. C2×#13133190C22semidirect
188. C2×#13133190C22semidirect
189. #121×D53C22semidirect
190. #121×D53C22semidirect
191. #121×D53C22semidirect
192. C2×#13133186C22semidirect
193. #120×D53C22semidirect
194. #120×D53C22semidirect
195. #16811102C22semidirect
196. #16811097C22semidirect
197. #16811096C22semidirect
198. #16811096C22semidirect
199. #16811096C22semidirect
200. #16811095C22semidirect
201. C4×D4×D53C22semidirect
202. C4×D4×D53C22semidirect
203. #117×D53C22semidirect
204. C22×#11719919C22semidirect
205. C22×#11719921C22semidirect
206. C53×#551C22semidirect
207. C53×#551C22semidirect
208. C53×#546C22semidirect
209. C53×#546C22semidirect
210. C53×#543C22semidirect
211. C53×#538C22semidirect
212. C53×#538C22semidirect
213. C53×#534C22semidirect
214. C53×#525C22semidirect
215. C53×#525C22semidirect
216. C2×#120×C53C22semidirect
217. C53×#518C22semidirect
218. C22×C22⋊C4×C53C22semidirect
224. C2×#11719949C23semidirect
225. C2×#11719949C23semidirect
228. C2×#11719945C23semidirect
229. C2×#11719945C23semidirect
230. C2×#11719945C23semidirect
231. C2×#11719945C23semidirect
234. C2×#11719947C23semidirect
235. C2×#11719947C23semidirect
236. C2×#11719947C23semidirect
238. C2×Q8×D53C23semidirect
245. C22×D212C23semidirect
261. C22×C22⋊D53C23semidirect
262. C22×C22⋊D53C23semidirect
269. C2×D4×D53C23semidirect
270. C2×D4×D53C23semidirect
271. C2×D4×D53C23semidirect
272. C2×D4×D53C23semidirect
282. C22×C4×D53C23semidirect
283. #13133216C23semidirect
284. #13133215C23semidirect
285. #13133214C23semidirect
286. #13133213C23semidirect
287. #13133213C23semidirect
288. #13133213C23semidirect
289. #13133213C23semidirect
290. #13133213C23semidirect
291. #13133212C23semidirect
292. #13133212C23semidirect
293. #13133212C23semidirect
294. #13133212C23semidirect
295. #13133211C23semidirect
296. #13133211C23semidirect
297. #13133210C23semidirect
298. #13133210C23semidirect
299. #13133210C23semidirect
300. #13133210C23semidirect
301. #13133209C23semidirect
302. #13133208C23semidirect
303. #13133207C23semidirect
304. #13133207C23semidirect
305. #13133207C23semidirect
306. #13133207C23semidirect
307. #13133206C23semidirect
308. #13133206C23semidirect
309. #13133205C23semidirect
310. #13133205C23semidirect
311. #13133203C23semidirect
312. #13133203C23semidirect
313. #13133203C23semidirect
314. #13133203C23semidirect
315. #13133203C23semidirect
316. #13133203C23semidirect
317. #13133203C23semidirect
318. #13133203C23semidirect
319. #13133202C23semidirect
320. #13133202C23semidirect
321. #13133202C23semidirect
322. #13133202C23semidirect
323. #13133202C23semidirect
324. #13133202C23semidirect
325. #13133202C23semidirect
326. #13133202C23semidirect
327. #13133202C23semidirect
328. #13133202C23semidirect
331. #13133201C23semidirect
332. #13133201C23semidirect
333. #13133201C23semidirect
334. #13133201C23semidirect
337. #13133200C23semidirect
338. #13133200C23semidirect
339. #13133200C23semidirect
340. #13133200C23semidirect
341. #13133199C23semidirect
342. #13133199C23semidirect
343. #13133199C23semidirect
344. #13133199C23semidirect
345. #13133199C23semidirect
346. #13133199C23semidirect
347. #13133199C23semidirect
348. #13133199C23semidirect
349. #13133199C23semidirect
350. #13133199C23semidirect
353. #13133198C23semidirect
354. #13133197C23semidirect
355. #13133197C23semidirect
356. #13133197C23semidirect
361. #13133196C23semidirect
362. #13133195C23semidirect
363. #13133195C23semidirect
364. #13133195C23semidirect
365. #13133195C23semidirect
366. #13133195C23semidirect
367. #13133195C23semidirect
372. #13133194C23semidirect
373. #13133194C23semidirect
374. #13133194C23semidirect
375. #13133194C23semidirect
376. #13133193C23semidirect
377. #13133193C23semidirect
378. #13133193C23semidirect
379. #13133193C23semidirect
380. #13133192C23semidirect
381. #13133192C23semidirect
382. #13133192C23semidirect
383. #13133192C23semidirect
384. #13133192C23semidirect
385. #13133192C23semidirect
386. #13133192C23semidirect
387. #13133192C23semidirect
388. #13133192C23semidirect
393. #13133191C23semidirect
394. #13133191C23semidirect
395. #13133191C23semidirect
396. #13133191C23semidirect
397. #13133191C23semidirect
398. #13133191C23semidirect
399. #13133191C23semidirect
416. #13133190C23semidirect
417. #13133190C23semidirect
418. #13133190C23semidirect
419. #13133190C23semidirect
420. #13133190C23semidirect
421. #13133190C23semidirect
422. #13133190C23semidirect
423. #13133190C23semidirect
424. #13133190C23semidirect
425. #13133190C23semidirect
426. #13133190C23semidirect
427. #13133190C23semidirect
428. #13133190C23semidirect
429. #13133190C23semidirect
430. #13133190C23semidirect
431. #13133190C23semidirect
432. #13133190C23semidirect
433. #13133190C23semidirect
438. #13133189C23semidirect
439. #13133189C23semidirect
440. #13133189C23semidirect
441. #13133189C23semidirect
442. #13133189C23semidirect
443. #13133189C23semidirect
444. #13133189C23semidirect
445. #13133189C23semidirect
446. #13133189C23semidirect
447. #13133189C23semidirect
448. #13133188C23semidirect
449. #13133188C23semidirect
450. #13133188C23semidirect
451. #13133188C23semidirect
452. #13133188C23semidirect
453. #13133188C23semidirect
460. #13133187C23semidirect
461. #13133187C23semidirect
462. #13133187C23semidirect
463. #13133187C23semidirect
464. #13133187C23semidirect
465. #13133187C23semidirect
466. #13133187C23semidirect
467. #13133187C23semidirect
472. #13133186C23semidirect
473. #13133186C23semidirect
480. #13133185C23semidirect
481. #13133185C23semidirect
482. #13133185C23semidirect
483. #13133185C23semidirect
484. #13133185C23semidirect
485. C4×Dic106C23semidirect
486. #13133182C23semidirect
487. C4×D212C23semidirect
488. C4×D212C23semidirect
489. C4×D212C23semidirect
490. C4×D212C23semidirect
491. C4×D212C23semidirect
496. #13133179C23semidirect
497. #13133179C23semidirect
498. #13133179C23semidirect
499. #13133179C23semidirect
500. #13133179C23semidirect
505. C4×C22⋊D53C23semidirect
506. C4×C22⋊D53C23semidirect
507. C4×C22⋊D53C23semidirect
508. C4×C22⋊D53C23semidirect
509. C4×C22⋊D53C23semidirect
510. C4×C22⋊D53C23semidirect
511. C4×C22⋊D53C23semidirect
512. C4×C22⋊D53C23semidirect
517. #13133177C23semidirect
518. #13133177C23semidirect
519. #13133177C23semidirect
520. #13133177C23semidirect
521. #13133177C23semidirect
522. #13133177C23semidirect
523. #13133177C23semidirect
524. #13133177C23semidirect
525. #13133177C23semidirect
526. #13133177C23semidirect
529. #13133175C23semidirect
530. #13133175C23semidirect
531. #13133175C23semidirect
532. #13133174C23semidirect
533. #13133174C23semidirect
534. #13133174C23semidirect
537. #13133173C23semidirect
538. #13133173C23semidirect
544. C2×#11719919C23semidirect
545. C4⋊C4×D53C23semidirect
546. C4⋊C4×D53C23semidirect
547. C4⋊C4×D53C23semidirect
548. C4⋊C4×D53C23semidirect
549. C4⋊C4×D53C23semidirect
557. C2×#11719921C23semidirect
564. C22⋊C4×D53C23semidirect
565. C22⋊C4×D53C23semidirect
566. C22⋊C4×D53C23semidirect
567. C22⋊C4×D53C23semidirect
568. C42×D53C23semidirect
577. #126×C53C23semidirect
578. #126×C53C23semidirect
579. #124×C53C23semidirect
580. #124×C53C23semidirect
583. #123×C53C23semidirect
584. #123×C53C23semidirect
585. #123×C53C23semidirect
590. C22⋊Q8×C53C23semidirect
591. C22⋊Q8×C53C23semidirect
596. #121×C53C23semidirect
597. #121×C53C23semidirect
602. #120×C53C23semidirect
607. C4×D4×C53C23semidirect
608. C4×D4×C53C23semidirect
611. #117×C53C23semidirect
621. C2×C22⋊C4×C53C23semidirect
943. C22×D53H(5,𝔽2)semidirect
1011. C2×Dic53H(5,𝔽2)semidirect
1129. #3490D53semidirect
1187. #551C2×D53semidirect
1188. #551C2×D53semidirect
1221. #546C2×D53semidirect
1222. #546C2×D53semidirect
1240. #543C2×D53semidirect
1265. #538C2×D53semidirect
1266. #538C2×D53semidirect
1290. #534C2×D53semidirect
1310. #525C2×D53semidirect
1311. #525C2×D53semidirect
1330. C2×#120C2×D53semidirect
1337. #518C2×D53semidirect
1343. C22×C22⋊C4C2×D53semidirect
1344. C53#62818semidirect
1435. #126C22×D53semidirect
1436. #126C22×D53semidirect
1455. #124C22×D53semidirect
1456. #124C22×D53semidirect
1494. #123C22×D53semidirect
1495. #123C22×D53semidirect
1496. #123C22×D53semidirect
1527. C22⋊Q8C22×D53semidirect
1528. C22⋊Q8C22×D53semidirect
1607. #121C22×D53semidirect
1608. #121C22×D53semidirect
1644. #120C22×D53semidirect
1691. C4×D4C22×D53semidirect
1692. C4×D4C22×D53semidirect
1707. #117C22×D53semidirect
1746. C2×C22⋊C4C22×D53semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202890242
#202890162
#202889522
#202889472
#202889412
#202889362
#202889082
#202888972
#202887392
#202887372
#202885462
#202884752
#202884412
#202884162
#202884042
#202883982
#202883782
#202883482
#202883442
#525×D532
C22×#131331902
C53×#34902
#6281853