Finite Group Databasebeta

← #28292787

Subgroups — #28292787

Order 13568.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289258C218yesmaximal, complemented
2#20289248C214yesmaximal, complemented
3#20289230C214yesmaximal, complemented
4#20289069C214yesmaximal, complemented
5#20289059C211yesmaximal, characteristic, complemented
6#20289045C212yesmaximal, complemented
7#20288801C212yesmaximal, complemented
8#20288799C212yesmaximal, complemented
9#20288750C212yesmaximal, complemented
10#20288748C212yesmaximal, complemented
11#20288660C214yesmaximal, complemented
12#20288650C214yesmaximal, complemented
13#20288555C214yesmaximal, complemented
14#20288473C214yesmaximal, complemented
15#20288453C214yesmaximal, complemented
16#20288448C214yesmaximal, complemented
17#20288358C214yesmaximal, complemented
18C2×#16811174C211yesmaximal, characteristic, complemented
19#529×D53C212yesmaximal, complemented
20C53×#3544C211yesmaximal, characteristic, complemented
21C2×#13133263C2214yescomplemented
22C22×#11719949C2212yescomplemented
23#16811372C2214yescomplemented
24#16811372C2214yescomplemented
25#16811369C2218yescomplemented
26#16811365C2214yescomplemented
27#16811364C2218yescomplemented
28#16811358C2212yescomplemented
29#16811358C2214yescomplemented
30#16811356C2214yescomplemented
31#16811353C2211yescharacteristic, complemented
32#16811339C2211yescharacteristic, complemented
33#16811339C2214yescomplemented
34#16811335C2214yescomplemented
35#16811334C2212yescomplemented
36#16811334C2214yescomplemented
37#16811329C2214yescomplemented
38#16811326C2218yescomplemented
39#16811326C2214yescomplemented
40#16811326C2218yescomplemented
41#16811324C2218yescomplemented
42#16811321C2214yescomplemented
43#16811318C2218yescomplemented
44#16811317C2214yescomplemented
45#16811317C2214yescomplemented
46#16811308C2214yescomplemented
47#16811300C2218yescomplemented
48#16811300C2218yescomplemented
49#16811298C2218yescomplemented
50#16811297C2218yescomplemented
51#16811296C2218yescomplemented
52#16811295C2212yescomplemented
53#16811294C2212yescomplemented
54#16811285C2214yescomplemented
55#16811283C2214yescomplemented
56#16811276C2218yescomplemented
57#16811276C2214yescomplemented
58#16811276C2218yescomplemented
59#16811275C2218yescomplemented
60#16811275C2218yescomplemented
61#16811274C2214yescomplemented
62#16811274C2214yescomplemented
63#16811270C2214yescomplemented
64#16811269C2214yescomplemented
65#16811266C2218yescomplemented
66#16811266C2218yescomplemented
67#16811265C2218yescomplemented
68#16811265C2218yescomplemented
69#16811264C2214yescomplemented
70#16811264C2218yescomplemented
71#16811264C2218yescomplemented
72#16811264C2214yescomplemented
73#16811264C2218yescomplemented
74#16811261C2218yescomplemented
75D4×D212C2214yescomplemented
76D4×D212C2212yescomplemented
77D4×D212C2214yescomplemented
78#16811257C2214yescomplemented
79#16811257C2214yescomplemented
80#16811250C2214yescomplemented
81#16811247C2218yescomplemented
82#16811247C2214yescomplemented
83#16811247C2214yescomplemented
84#16811246C2214yescomplemented
85#16811243C2218yescomplemented
86#16811229C2214yescomplemented
87#16811229C2214yescomplemented
88#16811228C2214yescomplemented
89#16811226C2214yescomplemented
90#16811221C2218yescomplemented
91#16811221C2218yescomplemented
92#16811219C2218yescomplemented
93#16811213C2218yescomplemented
94#16811212C2218yescomplemented
95#16811212C2218yescomplemented
96#16811209C2218yescomplemented
97#16811207C2218yescomplemented
98#16811203C2218yescomplemented
99#16811197C2214yescomplemented
100#16811192C2214yescomplemented
101#16811191C2214yescomplemented
102#16811184C2218yescomplemented
103#16811184C2218yescomplemented
104#16811184C2218yescomplemented
105#16811174C2212yescomplemented
106#16811174C2214yescomplemented
107#16811174C2212yescomplemented
108#16811174C2214yescomplemented
109#16811174C2214yescomplemented
110#16811174C2214yescomplemented
111#16811170C2214yescomplemented
112C2×#13133214C2211yescharacteristic, complemented
113#16811160C2214yescomplemented
114#16811160C2212yescomplemented
115#16811159C2212yescomplemented
116#16811158C2214yescomplemented
117#16811158C2212yescomplemented
118#16811157C2212yescomplemented
119#16811156C2214yescomplemented
120#16811155C2212yescomplemented
121#16811154C2212yescomplemented
122#16811153C2214yescomplemented
123#16811152C2212yescomplemented
124#16811151C2214yescomplemented
125#16811150C2214yescomplemented
126#126×D53C2214yescomplemented
127#125×D53C2212yescomplemented
128C2×#13133206C2212yescomplemented
129#124×D53C2212yescomplemented
130#16811136C2214yescomplemented
131#16811135C2214yescomplemented
132#16811135C2214yescomplemented
133#16811130C2214yescomplemented
134#123×D53C2214yescomplemented
135#123×D53C2218yescomplemented
136C22⋊Q8×D53C2212yescomplemented
137C2×#13133192C2214yescomplemented
138C2×#13133192C2214yescomplemented
139#121×D53C2212yes—
140#121×D53C2214yescomplemented
141#16811105C2214yescomplemented
142#16811104C2214yescomplemented
143#16811097C2214yescomplemented
144#16811097C2214yescomplemented
145#16811095C2214yescomplemented
146C4×Q8×D53C2212yescomplemented
147C2×#13133179C2214yescomplemented
148C4×D4×D53C2214yescomplemented
149C4×D4×D53C2212yescomplemented
150#117×D53C2214yescomplemented
151C2×C42×D53C2211yescharacteristic, complemented
152C53×#563C2214yescomplemented
153Q82×C53C2211yescharacteristic, complemented
154C53×#555C2211yescharacteristic, complemented
155C53×#554C2212yescomplemented
156C53×#552C2214yescomplemented
157C53×#547C2214yescomplemented
158C53×#544C2214yescomplemented
159C53×#542C2214yescomplemented
160C53×#536C2214yescomplemented
161C2×C4⋊Q8×C53C2211yescharacteristic, complemented
162C53×#529C2212yescomplemented
163#13133263—416no—
164C2×#11719949—48no—
165C2×#11719949C2314yes—
166C2×#11719949C2314yes—
167C2×#11719949C2318yes—
168C2×#11719949C2318yes—
169C2×#11719949C2314yes—
170C2×#11719945C2314yes—
171C2×#11719945C2318yes—
172C2×#11719945C2314yes—
173C2×Q8×D53C2312yes—
174C22×D212C2314yes—
175C22×D212C2318yes—
176C22×D212C2314yes—
177C22×D212C2314yes—
178C22×D212C2312yes—
179C2×D4×D53C2314yes—
180C2×D4×D53C2318yes—
181C2×D4×D53C2318yes—
182C2×D4×D53C2314yes—
183C2×D4×D53C2312yes—
184C22×C4×D53C2311yescharacteristic
185C22×C4×D53C2312yes—
186C22×C4×D53C2314yes—
187C22×C4×D53C2314yes—
188#13133216C2314yes—
189#13133215C2314yes—
190#13133215C2314yes—
191#13133214C2312yes—
192#13133214C2314yes—
193#13133214C2312yes—
194#13133214C2314yes—
195#13133213C2314yes—
196#13133212C2318yes—
197#13133212C2318yes—
198#13133212C2318yes—
199#13133212C2314yes—
200#13133212C2318yes—
201#13133212C2314yes—
202#13133212C2314yes—
203#13133211C2318yes—
204#13133211C2314yes—
205#13133210C2314yes—
206#13133210C2314yes—
207#13133210C2314yes—
208#13133209C2312yes—
209#13133208C2314yes—
210#13133208C2312yes—
211#13133208C2312yes—
212#13133207C2318yes—
213#13133207C2314yes—
214#13133207C2314yes—
215#13133206C2314yes—
216#13133206C2314yes—
217#13133206C2312yes—
218#13133206C2314yes—
219#13133206C2318yes—
220#13133206C2314yes—
221#13133206C2314yes—
222#13133206C2314yes—
223#13133206C2314yes—
224#13133205C2314yes—
225#13133205C2318yes—
226#13133205C2312yes—
227#13133204C2312yes—
228#13133203C2318yes—
229#13133203C2318yes—
230#13133203C2314yes—
231#13133203C2314yes—
232#13133202C2314yes—
233#13133202C2314yes—
234#13133202C2318yes—
235#13133202C2318yes—
236#13133202C2318yes—
237#13133202C2318yes—
238#13133202C2318yes—
239#13133202C2318yes—
240#13133202C2318yes—
241#13133202C2318yes—
242#13133202C2318yes—
243#13133202C2318yes—
244#13133202C2318yes—
245#13133202C2318yes—
246#13133201C2318yes—
247#13133201C2314yes—
248#13133200C2318yes—
249#13133200C2318yes—
250#13133200C2314yes—
251#13133199C2314yes—
252#13133199C2314yes—
253#13133199C2318yes—
254#13133199C2318yes—
255#13133199C2318yes—
256#13133198C2314yes—
257#13133197C2314yes—
258#13133197C2318yes—
259#13133197C2318yes—
260#13133197C2312yes—
261#13133196C2312yes—
262#13133195C2318yes—
263#13133195C2318yes—
264#13133195C2318yes—
265#13133195C2314yes—
266#13133194C2314yes—
267#13133193C2318yes—
268#13133193C2318yes—
269#13133193C2318yes—
270#13133193C2318yes—
271#13133193C2312yes—
272#13133192C2318yes—
273#13133192C2318yes—
274#13133192C2318yes—
275#13133192C2314yes—
276#13133192C2318yes—
277#13133192C2318yes—
278#13133192C2318yes—
279#13133192C2318yes—
280#13133192C2314yes—
281#13133192C2318yes—
282#13133192C2318yes—
283#13133192C2314yes—
284#13133192C2314yes—
285#13133192C2314yes—
286#13133192C2312yes—
287#13133192C2314yes—
288#13133192C2314yes—
289#13133192C2318yes—
290#13133191C2314yes—
291#13133191C2312yes—
292#13133191C2314yes—
293#13133191C2318yes—
294#13133190C2318yes—
295#13133190C2318yes—
296#13133190C2318yes—
297#13133190C2318yes—
298#13133190C2318yes—
299#13133190C2318yes—
300#13133190C2318yes—
301#13133190C2314yes—
302#13133189C2314yes—
303#13133189C2318yes—
304#13133188C2318yes—
305#13133188C2312yes—
306#13133187C2318yes—
307#13133187C2318yes—
308#13133187C2318yes—
309#13133187C2318yes—
310#13133187C2318yes—
311#13133187C2318yes—
312#13133187C2318yes—
313#13133187C2318yes—
314#13133185C2318yes—
315#13133185C2318yes—
316Q8×Dic53C2312yes—
317C4×Dic106C2312yes—
318C4×Dic106C2314yes—
319#13133182C2314yes—
320#13133182C2312yes—
321#13133182C2314yes—
322C4×D212C2318yes—
323C4×D212C2318yes—
324C4×D212C2318yes—
325C4×D212C2318yes—
326C4×D212C2314yes—
327C4×D212C2314yes—
328C4×D212C2314yes—
329C4×D212C2312yes—
330C4×D212C2318yes—
331D4×Dic53C2314yes—
332D4×Dic53C2312yes—
333#13133179C2314yes—
334#13133179C2318yes—
335#13133179C2318yes—
336#13133179C2314yes—
337#13133179C2314yes—
338#13133179C2318yes—
339#13133179C2314yes—
340#13133179C2314yes—
341#13133179C2314yes—
342#13133179C2318yes—
343#13133179C2312yes—
344#13133179C2314yes—
345#13133179C2314yes—
346#13133179C2318yes—
347C4×C22⋊D53C2314yes—
348C4×C22⋊D53C2314yes—
349C4×C22⋊D53C2318yes—
350C4×C22⋊D53C2318yes—
351C4×C22⋊D53C2318yes—
352C4×C22⋊D53C2314yes—
353#13133177C2314yes—
354#13133177C2314yes—
355#13133177C2318yes—
356#13133177C2314yes—
357#13133176C2314yes—
358#13133176C2314yes—
359#13133175C2318yes—
360#13133175C2314yes—
361#13133175C2314yes—
362#13133175C2314yes—
363#13133174C2318yes—
364#13133174C2314yes—
365#13133174C2314yes—
366#13133173C2314yes—
367#13133173C2314yes—
368C4⋊C4×D53C2312yes—
369C4⋊C4×D53C2314yes—
370C4⋊C4×D53C2314yes—
371C4⋊C4×D53C2314yes—
372C4⋊C4×D53C2318yes—
373C4⋊C4×D53C2318yes—
374C4⋊C4×D53C2312yes—
375C4⋊C4×D53C2314yes—
376C4⋊C4×D53C2314yes—
377C2×#11719921C2318yes—
378C2×#11719921C2318yes—
379C22⋊C4×D53C2314yes—
380C22⋊C4×D53C2314yes—
381C22⋊C4×D53C2314yes—
382C22⋊C4×D53C2318yes—
383C22⋊C4×D53C2318yes—
384C22⋊C4×D53C2318yes—
385C22⋊C4×D53C2318yes—
386C22⋊C4×D53C2314yes—
387C22⋊C4×D53C2314yes—
388C2×C4×Dic53C2312yes—
389C2×C4×Dic53C2311yescharacteristic
390C42×D53C2312yes—
391C42×D53C2312yes—
392C42×D53C2312yes—
393C42×D53C2312yes—
394C42×D53C2314yes—
395C2×#41×C53C2314yes—
396C22×Q8×C53C2312yes—
397C4⋊Q8×C53C2314yes—
398C4⋊Q8×C53C2314yes—
399C4⋊Q8×C53C2314yes—
400C4⋊Q8×C53C2314yes—
401C4⋊Q8×C53C2311yescharacteristic
402C4⋊Q8×C53C2311yescharacteristic
403C4⋊Q8×C53C2312yes—
404#126×C53C2318yes—
405#126×C53C2314yes—
406#125×C53C2312yes—
407#125×C53C2318yes—
408#125×C53C2314yes—
409#124×C53C2314yes—
410#124×C53C2314yes—
411#124×C53C2312yes—
412#123×C53C2318yes—
413#123×C53C2318yes—
414#123×C53C2314yes—
415C22⋊Q8×C53C2312yes—
416C22⋊Q8×C53C2318yes—
417C22⋊Q8×C53C2318yes—
418C22⋊Q8×C53C2314yes—
419C22⋊Q8×C53C2318yes—
420#121×C53C2314yes—
421#121×C53C2312yes—
422C4×Q8×C53C2314yes—
423C4×Q8×C53C2312yes—
424C4×D4×C53C2314yes—
425C4×D4×C53C2312yes—
426C4×D4×C53C2314yes—
427#117×C53C2314yes—
428#117×C53C2314yes—
429#117×C53C2314yes—
430C2×C4⋊C4×C53C2314yes—
431C2×C4⋊C4×C53C2314yes—
432C2×C42×C53C2311yescharacteristic
433C23×D53C2414yes—
434C23×D53C2414yes—
435C23×D53C2418yes—
436C23×D53C2411yescharacteristic
437#41×C53—48no—
438C2×Q8×C53—44no—
439C2×Q8×C53C2412yes—
440C2×Q8×C53C2412yes—
441C2×Q8×C53C2414yes—
442C2×Q8×C53C2414yes—
443C2×Q8×C53C2412yes—
444C2×D4×C53C2412yes—
445C2×D4×C53C2414yes—
446C2×D4×C53C2414yes—
447C22×C4×C53C2412yes—
448C22×C4×C53C2411yescharacteristic
449C22×C4×C53C2414yes—
450C22×C4×C53C2414yes—
451C22×C4×C53C2418yes—
452C2×C22⋊D53C2414yes—
453C2×C22⋊D53C2414yes—
454C2×C22⋊D53C2414yes—
455C2×C22⋊D53C2418yes—
456C2×C22⋊D53C2418yes—
457C2×C22⋊D53C2418yes—
458C22×Dic53C2411yescharacteristic
459C22×Dic53C2412yes—
460C22×Dic53C2414yes—
461#11719949—48no—
462#11719949—416no—
463#11719949—48no—
464#11719949—416no—
465#11719949—48no—
466Q8×D53—44no—
467D4×D53—216no—
468D4×D53—44no—
469D4×D53—48no—
470D4×D53—416no—
471D4×D53—416no—
472#11719945—48no—
473#11719945—416no—
474#11719945—48no—
475C2×D212—216no—
476C2×D212—48no—
477C2×D212—48no—
478C2×D212—416no—
479C2×D212—44no—
480C2×D212C2412yes—
481C2×D212C2414yes—
482C2×D212C2414yes—
483C2×D212C2418yes—
484C2×D212C2414yes—
485C2×D212C2418yes—
486C2×D212C2418yes—
487C2×D212C2418yes—
488C2×D212C2418yes—
489C2×D212C2414yes—
490C2×D212C2414yes—
491C2×D212C2414yes—
492C2×D212C2418yes—
493C2×C4×D53—24no—
494C2×C4×D53—44no—
495C2×C4×D53—48no—
496C2×C4×D53—48no—
497C2×C4×D53C2412yes—
498C2×C4×D53C2412yes—
499C2×C4×D53C2412yes—
500C2×C4×D53C2412yes—
501C2×C4×D53C2414yes—
502C2×C4×D53C2414yes—
503C2×C4×D53C2412yes—
504C2×C4×D53C2412yes—
505C2×C4×D53C2414yes—
506C2×C4×D53C2414yes—
507C2×C4×D53C2418yes—
508C2×C4×D53C2418yes—
509C2×C4×D53C2414yes—
510C2×C4×D53C2418yes—
511C2×C4×D53C2418yes—
512C2×C4×D53C2418yes—
513C2×C4×D53C2418yes—
514C2×Dic106C2412yes—
515C2×Dic106C2414yes—
516C2×Dic106C2414yes—
517C4⋊C4×C53C2414yes—
518C4⋊C4×C53C2412yes—
519C4⋊C4×C53C2414yes—
520C4⋊C4×C53C2418yes—
521C4⋊C4×C53C2418yes—
522C4⋊C4×C53C2412yes—
523C4⋊C4×C53C2418yes—
524C4⋊C4×C53C2414yes—
525C4⋊C4×C53C2414yes—
526C4⋊C4×C53C2414yes—
527C4⋊C4×C53C2414yes—
528C4⋊C4×C53C2418yes—
529C22⋊C4×C53C2414yes—
530C22⋊C4×C53C2414yes—
531C22⋊C4×C53C2418yes—
532C22⋊C4×C53C2414yes—
533C22⋊C4×C53C2418yes—
534C22⋊C4×C53C2414yes—
535C22⋊C4×C53C2414yes—
536C42×C53C2412yes—
537C42×C53C2411yescharacteristic
538C42×C53C2411yescharacteristic
539C42×C53C2414yes—
540C42×C53C2414yes—
541C42×C53C2414yes—
542C22⋊Dic53C2414yes—
543C22⋊Dic53C2414yes—
544C22⋊Dic53C2414yes—
545C22⋊Dic53C2414yes—
546C22⋊Dic53C2414yes—
547#11719921C2414yes—
548#11719921C2414yes—
549#11719921C2414yes—
550#11719921C2418yes—
551#11719921C2418yes—
552#11719921C2414yes—
553#11719921C2414yes—
554#11719921C2414yes—
555#11719921C2414yes—
556#11719921C2414yes—
557#11719921C2414yes—
558#11719921C2414yes—
559#11719921C2418yes—
560#11719921C2418yes—
561#11719921C2418yes—
562#11719921C2418yes—
563#11719921C2418yes—
564#11719921C2418yes—
565#11719921C2418yes—
566#11719921C2418yes—
567#11719921C2418yes—
568#11719921C2418yes—
569C4⋊Dic53C2414yes—
570C4⋊Dic53C2412yes—
571C4⋊Dic53C2414yes—
572C4⋊Dic53C2414yes—
573C4⋊Dic53C2412yes—
574C4⋊Dic53C2414yes—
575C4⋊Dic53C2418yes—
576#11719919C2414yes—
577#11719919C2414yes—
578#11719919C2418yes—
579#11719919C2414yes—
580#11719919C2414yes—
581#11719919C2414yes—
582#11719919C2414yes—
583#11719919C2414yes—
584#11719919C2414yes—
585#11719919C2418yes—
586#11719919C2414yes—
587#11719919C2414yes—
588C4×Dic53C2411yescharacteristic
589C4×Dic53C2412yes—
590C4×Dic53C2412yes—
591C4×Dic53C2412yes—
592C4×Dic53C2412yes—
593C4×Dic53C2412yes—
594C4×Dic53C2411yescharacteristic
595C4×Dic53C2414yes—
596C4×Dic53C2414yes—
597C4×Dic53C2414yes—
598C4×Dic53C2414yes—
599C4×Dic53C2414yes—
600C23×C53C2514yes—
601C23×C53C2511yescharacteristic
602C22×D53—28no—
603C22×D53—28no—
604C22×D53—42no—
605C22×D53—44no—
606C22×D53—48no—
607C22×D53—44no—
608C22×D53—48no—
609C22×D53—48no—
610C22×D53—48no—
611C22×D53H(5,𝔽2)14yes—
612C22×D53C2518yes—
613C22×D53C2514yes—
614C22×D53C2512yes—
615Q8×C53—24no—
616Q8×C53—42no—
617Q8×C53—44no—
618Q8×C53—42no—
619Q8×C53—44no—
620D4×C53—28no—
621D4×C53—24no—
622D4×C53—44no—
623C2×C4×C53—22no—
624C2×C4×C53—28no—
625C2×C4×C53—24no—
626C2×C4×C53—28no—
627C2×C4×C53—48no—
628C2×C4×C53C2514yes—
629C2×C4×C53C2514yes—
630C2×C4×C53C2514yes—
631C2×C4×C53C2514yes—
632C2×C4×C53C2514yes—
633C2×C4×C53C2511yescharacteristic
634C2×C4×C53C2511yescharacteristic
635C2×C4×C53C2512yes—
636C2×C4×C53C2512yes—
637C22⋊D53—28no—
638C22⋊D53—28no—
639C22⋊D53—48no—
640C22⋊D53—48no—
641C22⋊D53—44no—
642C22⋊D53—48no—
643C2×Dic53—22no—
644C2×Dic53—42no—
645C2×Dic53—44no—
646C2×Dic53C2514yes—
647C2×Dic53C2514yes—
648C2×Dic53C2512yes—
649C2×Dic53C2512yes—
650C2×Dic53C2512yes—
651C2×Dic53C2514yes—
652D212—216no—
653D212—216no—
654D212—28no—
655D212—24no—
656D212—28no—
657D212—28no—
658D212—44no—
659D212—48no—
660D212—48no—
661D212—48no—
662D212—44no—
663D212—44no—
664D212—48no—
665C4×D53—24no—
666C4×D53—24no—
667C4×D53—28no—
668C4×D53—24no—
669C4×D53—24no—
670C4×D53—28no—
671C4×D53—42no—
672C4×D53—44no—
673C4×D53—42no—
674C4×D53—44no—
675C4×D53—48no—
676C4×D53—48no—
677C4×D53—48no—
678C4×D53—48no—
679C4×D53—48no—
680C4×D53—44no—
681C4×D53—48no—
682Dic106—24no—
683Dic106—44no—
684Dic106—44no—
685#62822—531nomaximal, Sylow
686C22×C53—22no—
687C22×C53—24no—
688C22×C53—24no—
689C22×C53—24no—
690C22×C53C2×H(5,𝔽2)12yes—
691C22×C53C2611yescharacteristic
692C2×D53—22no—
693C2×D53—22no—
694C2×D53—28no—
695C2×D53—24no—
696C2×D53—24no—
697C2×D53—28no—
698C2×D53—28no—
699C2×D53—24no—
700C2×D53—44no—
701C2×D53—88no—
702C2×D53—88no—
703C2×D53—168no—
704C2×D53C2×H(5,𝔽2)14yes—
705C4×C53—24no—
706C4×C53—21no—
707C4×C53—21no—
708C4×C53—24no—
709C4×C53—24no—
710C4×C53—24no—
711C4×C53—24no—
712C4×C53—22no—
713C4×C53#58514yes—
714Dic53—24no—
715Dic53—22no—
716Dic53—24no—
717Dic53—22no—
718Dic53—22no—
719Dic53—24no—
720#3560—538no—
721#3559—534no—
722#3558—534no—
723#3545—534no—
724#3544—531no—
725#3544D5311yescharacteristic, complemented
726#3543—532no—
727#3522—532no—
728#3522—532no—
729#3519—532no—
730#3519—532no—
731#3513—534no—
732#3513—534no—
733#3505—534no—
734#3496—534no—
735#3494—534no—
736#3494—534no—
737#3485—534no—
738C2×#532—531no—
739C2×#529—532no—
740C2×C53—22no—
741C2×C53—44no—
742C2×C53C22×H(5,𝔽2)11yescharacteristic
743C2×C53C2×#58512yes—
744D53—24no—
745D53—48no—
746D53—44no—
747C2×H(5,𝔽2)—534no—
748C22×#41—532no—
749#563—534no—
750#563—534no—
751#563C2×D5314yescomplemented
752#562—538no—
753H(3,𝔽4)—534no—
754#560—538no—
755#559—534no—
756#559—532no—
757#559—534no—
758Q82—531no—
759Q82C2×D5311yescharacteristic, complemented
760#555—534no—
761#555—531no—
762#555—534no—
763#555C2×D5311yescharacteristic, complemented
764#554—534no—
765#554—532no—
766#554—534no—
767#554C2×D5312yescomplemented
768#553—538no—
769#553—538no—
770#553—538no—
771#553—534no—
772#553—538no—
773#553—534no—
774#553—534no—
775#553—534no—
776#552—534no—
777#552C2×D5314yescomplemented
778#551—538no—
779#551—538no—
780#551—538no—
781#551—538no—
782#551—538no—
783#550—532no—
784#550—532no—
785#548—534no—
786#548—534no—
787#547—538no—
788#547—538no—
789#547—534no—
790#547—538no—
791#547—538no—
792#547—534no—
793#547—534no—
794#547C2×D5314yescomplemented
795#546—538no—
796#546—538no—
797#546—538no—
798#546—538no—
799#546—538no—
800#546—538no—
801#546—538no—
802#546—538no—
803#546—534no—
804#546—534no—
805#546—534no—
806#546—534no—
807D42—534no—
808D42—534no—
809D42—534no—
810D42—534no—
811D42—532no—
812#544—534no—
813#544C2×D5314yescomplemented
814#542—534no—
815#542—534no—
816#542—538no—
817#542—534no—
818#542—538no—
819#542C2×D5314yescomplemented
820#540—534no—
821#540—534no—
822#540—534no—
823#540—534no—
824#539—538no—
825#539—538no—
826#539—538no—
827#538—538no—
828#538—538no—
829#538—538no—
830#538—538no—
831#538—538no—
832#537—538no—
833#536—534no—
834#536C2×D5314yescomplemented
835#535—534no—
836#535—534no—
837#534—538no—
838#534—538no—
839#534—538no—
840#532—534no—
841#532—532no—
842#532—532no—
843#532—534no—
844#532—534no—
845#532—534no—
846#532—534no—
847C2×C4⋊Q8C2×D5311yescharacteristic, complemented
848C2×#127—531no—
849#529—534no—
850#529—532no—
851#529—534no—
852#529—532no—
853#529—534no—
854#529—532no—
855#529—532no—
856#529—532no—
857#529—534no—
858#529—534no—
859#529—532no—
860#529—534no—
861#529—532no—
862#529C2×D5312yescomplemented
863C2×#126—534no—
864C2×#125—532no—
865C2×#124—532no—
866C2×#124—532no—
867#525—534no—
868#525—534no—
869#525—534no—
870#525—534no—
871C2×#123—534no—
872C2×#123—538no—
873C2×C22⋊Q8—532no—
874C2×#121—532no—
875C2×#121—534no—
876C2×#121—534no—
877C2×#121—534no—
878#520—534no—
879#520—534no—
880#518—534no—
881#518—534no—
882#518—534no—
883C2×C4×Q8—532no—
884C2×C4×D4—534no—
885C2×C4×D4—532no—
886C2×C4×D4—534no—
887C2×#117—534no—
888C22×C42—531no—
889C53#6282211yescharacteristic, complemented, Sylow
890H(5,𝔽2)—21216no—
891C2×#41—534no—
892C2×#41—534no—
893C2×#41—538no—
894C2×#41—534no—
895C2×#41—538no—
896C2×#41—534no—
897C2×#41—534no—
898C2×#41—538no—
899C2×#41—2128no—
900C2×#41C22×D5314yes—
901C22×Q8—532no—
902C22×Q8C22×D5312yes—
903C22×D4—534no—
904C22×D4—532no—
905C22×D4—534no—
906C22×D4—538no—
907C22×D4—538no—
908C22×D4—534no—
909C22×D4—534no—
910C22×D4—534no—
911C22×D4—538no—
912C22×D4—532no—
913C23×C4—531no—
914C23×C4—534no—
915C23×C4—532no—
916C23×C4—534no—
917C4⋊Q8—534no—
918C4⋊Q8—534no—
919C4⋊Q8—534no—
920C4⋊Q8C22×D5314yes—
921C4⋊Q8C22×D5311yescharacteristic
922C4⋊Q8C22×D5311yescharacteristic
923C4⋊Q8C22×D5312yes—
924C4⋊Q8C22×D5314yes—
925C4⋊Q8C22×D5314yes—
926C4⋊Q8C22×D5314yes—
927#127—534no—
928#127—534no—
929#127—532no—
930#127—532no—
931#127—534no—
932#126—534no—
933#126—534no—
934#126—534no—
935#126—538no—
936#126—538no—
937#126—538no—
938#126—538no—
939#126—534no—
940#126—534no—
941#126—534no—
942#126—534no—
943#126—538no—
944#126C22×D5314yes—
945#126C22×D5318yes—
946#125—534no—
947#125—532no—
948#125—532no—
949#125—534no—
950#125—534no—
951#125—538no—
952#125—532no—
953#125C22×D5312yes—
954#125C22×D5314yes—
955#125C22×D5318yes—
956#124—532no—
957#124—534no—
958#124—534no—
959#124—534no—
960#124—534no—
961#124—534no—
962#124—538no—
963#124—534no—
964#124—534no—
965#124—532no—
966#124—534no—
967#124—534no—
968#124—538no—
969#124—538no—
970#124—532no—
971#124—534no—
972#124—538no—
973#124C22×D5312yes—
974#124C22×D5314yes—
975#124C22×D5314yes—
976#123—534no—
977#123—534no—
978#123—538no—
979#123—538no—
980#123—534no—
981#123—534no—
982#123—538no—
983#123—538no—
984#123—538no—
985#123—538no—
986#123—538no—
987#123—538no—
988#123—538no—
989#123—538no—
990#123—538no—
991#123—538no—
992#123—538no—
993#123—538no—
994#123—534no—
995#123—534no—
996#123—534no—
997#123—538no—
998#123—538no—
999#123—538no—
1000#123—538no—
1001#123C22×D5314yes—
1002#123C22×D5318yes—
1003#123C22×D5318yes—
1004C22⋊Q8—532no—
1005C22⋊Q8—538no—
1006C22⋊Q8—538no—
1007C22⋊Q8—538no—
1008C22⋊Q8—538no—
1009C22⋊Q8—532no—
1010C22⋊Q8—532no—
1011C22⋊Q8—534no—
1012C22⋊Q8—538no—
1013C22⋊Q8—534no—
1014C22⋊Q8—538no—
1015C22⋊Q8—538no—
1016C22⋊Q8—538no—
1017C22⋊Q8—538no—
1018C22⋊Q8—534no—
1019C22⋊Q8C22×D5312yes—
1020C22⋊Q8C22×D5314yes—
1021C22⋊Q8C22×D5318yes—
1022C22⋊Q8C22×D5318yes—
1023C22⋊Q8C22×D5318yes—
1024#121—532no—
1025#121—534no—
1026#121—538no—
1027#121—538no—
1028#121—532no—
1029#121—534no—
1030#121—534no—
1031#121—538no—
1032#121—532no—
1033#121—534no—
1034#121—534no—
1035#121—538no—
1036#121—534no—
1037#121—534no—
1038#121—538no—
1039#121—538no—
1040#121—538no—
1041#121—534no—
1042#121—534no—
1043#121—538no—
1044#121—534no—
1045#121—538no—
1046#121—538no—
1047#121—538no—
1048#121—538no—
1049#121—538no—
1050#121—534no—
1051#121—538no—
1052#121—538no—
1053#121—538no—
1054#121—538no—
1055#121—538no—
1056#121—538no—
1057#121—538no—
1058#121C22×D5312yes—
1059#121C22×D5314yes—
1060#120—538no—
1061#120—538no—
1062#120—538no—
1063#120—538no—
1064#120—538no—
1065#120—538no—
1066#120—538no—
1067#120—538no—
1068#120—538no—
1069#120—538no—
1070C4×Q8—532no—
1071C4×Q8—532no—
1072C4×Q8—534no—
1073C4×Q8—534no—
1074C4×Q8—532no—
1075C4×Q8—534no—
1076C4×Q8C22×D5312yes—
1077C4×Q8C22×D5314yes—
1078C4×D4—532no—
1079C4×D4—534no—
1080C4×D4—534no—
1081C4×D4—534no—
1082C4×D4—534no—
1083C4×D4—538no—
1084C4×D4—538no—
1085C4×D4—538no—
1086C4×D4—532no—
1087C4×D4—534no—
1088C4×D4—534no—
1089C4×D4—534no—
1090C4×D4—538no—
1091C4×D4—534no—
1092C4×D4—534no—
1093C4×D4—538no—
1094C4×D4—538no—
1095C4×D4—538no—
1096C4×D4—534no—
1097C4×D4—534no—
1098C4×D4—534no—
1099C4×D4—538no—
1100C4×D4—534no—
1101C4×D4—534no—
1102C4×D4—534no—
1103C4×D4—538no—
1104C4×D4—534no—
1105C4×D4—532no—
1106C4×D4—538no—
1107C4×D4—538no—
1108C4×D4—538no—
1109C4×D4—538no—
1110C4×D4—534no—
1111C4×D4—538no—
1112C4×D4—534no—
1113C4×D4C22×D5314yes—
1114C4×D4C22×D5312yes—
1115C4×D4C22×D5314yes—
1116#117—534no—
1117#117—534no—
1118#117—534no—
1119#117—534no—
1120#117—534no—
1121#117—538no—
1122#117—534no—
1123#117—534no—
1124#117—534no—
1125#117—534no—
1126#117—538no—
1127#117C22×D5314yes—
1128#117C22×D5314yes—
1129#117C22×D5314yes—
1130C2×C4⋊C4—534no—
1131C2×C4⋊C4—534no—
1132C2×C4⋊C4—532no—
1133C2×C4⋊C4—534no—
1134C2×C4⋊C4—532no—
1135C2×C4⋊C4—534no—
1136C2×C4⋊C4—534no—
1137C2×C4⋊C4—538no—
1138C2×C4⋊C4—538no—
1139C2×C4⋊C4C22×D5314yes—
1140C2×C4⋊C4C22×D5314yes—
1141C2×C22⋊C4—538no—
1142C2×C22⋊C4—538no—
1143C2×C22⋊C4—534no—
1144C2×C22⋊C4—534no—
1145C2×C22⋊C4—534no—
1146C2×C22⋊C4—534no—
1147C2×C22⋊C4—534no—
1148C2×C22⋊C4—538no—
1149C2×C22⋊C4—538no—
1150C2×C22⋊C4—538no—
1151C2×C22⋊C4—538no—
1152C2×C42—532no—
1153C2×C42—531no—
1154C2×C42—532no—
1155C2×C42—534no—
1156C2×C42—532no—
1157C2×C42—532no—
1158C2×C42—532no—
1159C2×C42C22×D5311yescharacteristic
1160C24—531no—
1161C24—534no—
1162C24—534no—
1163C24—538no—
1164#41—48no—
1165#41—2128no—
1166#41—2128no—
1167#41—21216no—
1168#41—2128no—
1169#41—21216no—
1170#41—2128no—
1171#41—21216no—
1172#41—2128no—
1173C2×Q8—44no—
1174C2×Q8—532no—
1175C2×Q8—534no—
1176C2×Q8—534no—
1177C2×Q8—2124no—
1178C2×Q8C23×D5312yes—
1179C2×Q8C23×D5314yes—
1180C2×Q8C23×D5312yes—
1181C2×Q8C23×D5314yes—
1182C2×Q8C23×D5312yes—
1183C2×D4—534no—
1184C2×D4—534no—
1185C2×D4—538no—
1186C2×D4—534no—
1187C2×D4—538no—
1188C2×D4—538no—
1189C2×D4—532no—
1190C2×D4—534no—
1191C2×D4—534no—
1192C2×D4—538no—
1193C2×D4—538no—
1194C2×D4—534no—
1195C2×D4—538no—
1196C2×D4—538no—
1197C2×D4—538no—
1198C2×D4—534no—
1199C2×D4—534no—
1200C2×D4—534no—
1201C2×D4—538no—
1202C2×D4—10616no—
1203C2×D4—10616no—
1204C2×D4—2128no—
1205C2×D4—2128no—
1206C2×D4—2124no—
1207C2×D4—21216no—
1208C2×D4—2124no—
1209C2×D4—2128no—
1210C2×D4—21216no—
1211C2×D4—21216no—
1212C2×D4C23×D5312yes—
1213C2×D4C23×D5314yes—
1214C2×D4C23×D5314yes—
1215C22×C4—531no—
1216C22×C4—532no—
1217C22×C4—534no—
1218C22×C4—532no—
1219C22×C4—532no—
1220C22×C4—532no—
1221C22×C4—532no—
1222C22×C4—534no—
1223C22×C4—534no—
1224C22×C4—532no—
1225C22×C4—532no—
1226C22×C4—534no—
1227C22×C4—534no—
1228C22×C4—538no—
1229C22×C4—538no—
1230C22×C4—534no—
1231C22×C4—538no—
1232C22×C4—538no—
1233C22×C4—538no—
1234C22×C4—538no—
1235C22×C4—1064no—
1236C22×C4—2124no—
1237C22×C4—2128no—
1238C22×C4—2128no—
1239C22×C4C23×D5312yes—
1240C22×C4C23×D5311yescharacteristic
1241C22×C4C23×D5314yes—
1242C22×C4C23×D5314yes—
1243C22×C4C23×D5318yes—
1244C4⋊C4—534no—
1245C4⋊C4—534no—
1246C4⋊C4—532no—
1247C4⋊C4—534no—
1248C4⋊C4—534no—
1249C4⋊C4—538no—
1250C4⋊C4—534no—
1251C4⋊C4—534no—
1252C4⋊C4—532no—
1253C4⋊C4—534no—
1254C4⋊C4—534no—
1255C4⋊C4—534no—
1256C4⋊C4—534no—
1257C4⋊C4—534no—
1258C4⋊C4—534no—
1259C4⋊C4—538no—
1260C4⋊C4—534no—
1261C4⋊C4—534no—
1262C4⋊C4—538no—
1263C4⋊C4C23×D5312yes—
1264C4⋊C4C23×D5318yes—
1265C4⋊C4C23×D5314yes—
1266C4⋊C4C23×D5314yes—
1267C4⋊C4C23×D5314yes—
1268C4⋊C4C23×D5312yes—
1269C4⋊C4C23×D5314yes—
1270C4⋊C4C23×D5318yes—
1271C4⋊C4C23×D5314yes—
1272C4⋊C4C23×D5314yes—
1273C4⋊C4C23×D5318yes—
1274C4⋊C4C23×D5318yes—
1275C22⋊C4—534no—
1276C22⋊C4—534no—
1277C22⋊C4—534no—
1278C22⋊C4—534no—
1279C22⋊C4—534no—
1280C22⋊C4—534no—
1281C22⋊C4—534no—
1282C22⋊C4—534no—
1283C22⋊C4—538no—
1284C22⋊C4—538no—
1285C22⋊C4—538no—
1286C22⋊C4—534no—
1287C22⋊C4—534no—
1288C22⋊C4—534no—
1289C22⋊C4—534no—
1290C22⋊C4—534no—
1291C22⋊C4—534no—
1292C22⋊C4—538no—
1293C22⋊C4—534no—
1294C22⋊C4—538no—
1295C22⋊C4—538no—
1296C22⋊C4—538no—
1297C22⋊C4—538no—
1298C22⋊C4—538no—
1299C22⋊C4—538no—
1300C22⋊C4—538no—
1301C22⋊C4—538no—
1302C22⋊C4C23×D5314yes—
1303C22⋊C4C23×D5318yes—
1304C22⋊C4C23×D5314yes—
1305C22⋊C4C23×D5314yes—
1306C22⋊C4C23×D5314yes—
1307C22⋊C4C23×D5314yes—
1308C22⋊C4C23×D5318yes—
1309C42—531no—
1310C42—532no—
1311C42—532no—
1312C42—532no—
1313C42—532no—
1314C42—532no—
1315C42—531no—
1316C42—534no—
1317C42—534no—
1318C42—534no—
1319C42—534no—
1320C42—534no—
1321C42C23×D5312yes—
1322C42C23×D5311yescharacteristic
1323C42C23×D5311yescharacteristic
1324C42C23×D5314yes—
1325C42C23×D5314yes—
1326C42C23×D5314yes—
1327C23—532no—
1328C23—534no—
1329C23—534no—
1330C23—538no—
1331C23—1068no—
1332C23—1068no—
1333C23—2128no—
1334C23—2128no—
1335C23—2128no—
1336C23—2124no—
1337C23—2128no—
1338C23—2124no—
1339C23—2122no—
1340C23C24×D5314yes—
1341C23C24×D5311yescharacteristic
1342Q8—24no—
1343Q8—42no—
1344Q8—44no—
1345Q8—42no—
1346Q8—44no—
1347Q8—1064no—
1348Q8—2124no—
1349Q8—2124no—
1350D4—28no—
1351D4—24no—
1352D4—44no—
1353D4—1068no—
1354D4—10616no—
1355D4—10616no—
1356D4—1068no—
1357D4—1068no—
1358D4—1064no—
1359D4—1068no—
1360D4—1068no—
1361D4—2128no—
1362D4—2128no—
1363D4—2124no—
1364D4—2128no—
1365D4—2124no—
1366D4—2124no—
1367D4—2128no—
1368D4—2128no—
1369D4—2124no—
1370D4—2128no—
1371D4—2128no—
1372C2×C4—22no—
1373C2×C4—28no—
1374C2×C4—24no—
1375C2×C4—28no—
1376C2×C4—48no—
1377C2×C4—532no—
1378C2×C4—532no—
1379C2×C4—534no—
1380C2×C4—532no—
1381C2×C4—534no—
1382C2×C4—534no—
1383C2×C4—1064no—
1384C2×C4—1064no—
1385C2×C4—1068no—
1386C2×C4—1062no—
1387C2×C4—1064no—
1388C2×C4—1064no—
1389C2×C4—1068no—
1390C2×C4—2124no—
1391C2×C4—2124no—
1392C2×C4—2122no—
1393C2×C4—2122no—
1394C2×C4—2128no—
1395C2×C4—2128no—
1396C2×C4—2128no—
1397C2×C4—2128no—
1398C2×C4—2124no—
1399C2×C4—2128no—
1400C2×C4—2128no—
1401C2×C4—2124no—
1402C2×C4—2122no—
1403C2×C4C24×D5312yes—
1404C2×C4C24×D5311yescharacteristic
1405C2×C4C24×D5311yescharacteristic
1406C2×C4C24×D5314yes—
1407C2×C4C24×D5314yes—
1408C2×C4C24×D5314yes—
1409C2×C4C24×D5314yes—
1410C2×C4C24×D5314yes—
1411C2×C4C24×D5312yes—
1412C22—22no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—534no—
1417C22—8488no—
1418C22—1062no—
1419C22—1062no—
1420C22—1068no—
1421C22—1064no—
1422C22—1064no—
1423C22—1068no—
1424C22—1068no—
1425C22—1064no—
1426C22—4248no—
1427C22—4248no—
1428C22—2124no—
1429C22H(5,𝔽2)×D5312yes—
1430C22C25×D5311yescharacteristic
1431C4—24no—
1432C4—21no—
1433C4—21no—
1434C4—24no—
1435C4—24no—
1436C4—24no—
1437C4—22no—
1438C4—24no—
1439C4—1062no—
1440C4—1064no—
1441C4—1062no—
1442C4—1064no—
1443C4—1062no—
1444C4—1064no—
1445C4#1681146014yes—
1446C2—22no—
1447C2—44no—
1448C2—1064no—
1449C2—2124no—
1450C2—2128no—
1451C2C2×H(5,𝔽2)×D5311yescharacteristic
1452C2C2×#1681146012yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3544C2
hypercenter#3544D53
hypocenterC53#62822
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3544

Complements

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

NH ≅ G/Ntype
1. #20289258C2semidirect
2. #20289248C2semidirect
3. #20289230C2semidirect
4. #20289069C2semidirect
5. #20289059C2semidirect
6. #20289045C2semidirect
7. #20288801C2semidirect
8. #20288799C2semidirect
9. #20288750C2semidirect
10. #20288748C2semidirect
11. #20288660C2semidirect
12. #20288650C2semidirect
13. #20288555C2semidirect
14. #20288473C2semidirect
15. #20288453C2semidirect
16. #20288448C2semidirect
17. #20288358C2semidirect
18. C2×#16811174C2semidirect
19. #529×D53C2semidirect
20. C53×#3544C2semidirect
21. C2×#13133263C22semidirect
22. C22×#11719949C22semidirect
23. #16811372C22semidirect
24. #16811372C22semidirect
25. #16811369C22semidirect
26. #16811365C22semidirect
27. #16811364C22semidirect
28. #16811358C22semidirect
29. #16811358C22semidirect
30. #16811356C22semidirect
31. #16811353C22semidirect
32. #16811339C22semidirect
33. #16811339C22semidirect
34. #16811335C22semidirect
35. #16811334C22semidirect
36. #16811334C22semidirect
37. #16811329C22semidirect
38. #16811326C22semidirect
39. #16811326C22semidirect
40. #16811326C22semidirect
41. #16811324C22semidirect
42. #16811321C22semidirect
43. #16811318C22semidirect
44. #16811317C22semidirect
45. #16811317C22semidirect
46. #16811308C22semidirect
47. #16811300C22semidirect
48. #16811300C22semidirect
49. #16811298C22semidirect
50. #16811297C22semidirect
51. #16811296C22semidirect
52. #16811295C22semidirect
53. #16811294C22semidirect
54. #16811285C22semidirect
55. #16811283C22semidirect
56. #16811276C22semidirect
57. #16811276C22semidirect
58. #16811276C22semidirect
59. #16811275C22semidirect
60. #16811275C22semidirect
61. #16811274C22semidirect
62. #16811274C22semidirect
63. #16811270C22semidirect
64. #16811269C22semidirect
65. #16811266C22semidirect
66. #16811266C22semidirect
67. #16811265C22semidirect
68. #16811265C22semidirect
69. #16811264C22semidirect
70. #16811264C22semidirect
71. #16811264C22semidirect
72. #16811264C22semidirect
73. #16811264C22semidirect
74. #16811261C22semidirect
75. D4×D212C22semidirect
76. D4×D212C22semidirect
77. D4×D212C22semidirect
78. #16811257C22semidirect
79. #16811257C22semidirect
80. #16811250C22semidirect
81. #16811247C22semidirect
82. #16811247C22semidirect
83. #16811247C22semidirect
84. #16811246C22semidirect
85. #16811243C22semidirect
86. #16811229C22semidirect
87. #16811229C22semidirect
88. #16811228C22semidirect
89. #16811226C22semidirect
90. #16811221C22semidirect
91. #16811221C22semidirect
92. #16811219C22semidirect
93. #16811213C22semidirect
94. #16811212C22semidirect
95. #16811212C22semidirect
96. #16811209C22semidirect
97. #16811207C22semidirect
98. #16811203C22semidirect
99. #16811197C22semidirect
100. #16811192C22semidirect
101. #16811191C22semidirect
102. #16811184C22semidirect
103. #16811184C22semidirect
104. #16811184C22semidirect
105. #16811174C22semidirect
106. #16811174C22semidirect
107. #16811174C22semidirect
108. #16811174C22semidirect
109. #16811174C22semidirect
110. #16811174C22semidirect
111. #16811170C22semidirect
112. C2×#13133214C22semidirect
113. #16811160C22semidirect
114. #16811160C22semidirect
115. #16811159C22semidirect
116. #16811158C22semidirect
117. #16811158C22semidirect
118. #16811157C22semidirect
119. #16811156C22semidirect
120. #16811155C22semidirect
121. #16811154C22semidirect
122. #16811153C22semidirect
123. #16811152C22semidirect
124. #16811151C22semidirect
125. #16811150C22semidirect
126. #126×D53C22semidirect
127. #125×D53C22semidirect
128. C2×#13133206C22semidirect
129. #124×D53C22semidirect
130. #16811136C22semidirect
131. #16811135C22semidirect
132. #16811135C22semidirect
133. #16811130C22semidirect
134. #123×D53C22semidirect
135. #123×D53C22semidirect
136. C22⋊Q8×D53C22semidirect
137. C2×#13133192C22semidirect
138. C2×#13133192C22semidirect
140. #121×D53C22semidirect
141. #16811105C22semidirect
142. #16811104C22semidirect
143. #16811097C22semidirect
144. #16811097C22semidirect
145. #16811095C22semidirect
146. C4×Q8×D53C22semidirect
147. C2×#13133179C22semidirect
148. C4×D4×D53C22semidirect
149. C4×D4×D53C22semidirect
150. #117×D53C22semidirect
151. C2×C42×D53C22semidirect
152. C53×#563C22semidirect
153. Q82×C53C22semidirect
154. C53×#555C22semidirect
155. C53×#554C22semidirect
156. C53×#552C22semidirect
157. C53×#547C22semidirect
158. C53×#544C22semidirect
159. C53×#542C22semidirect
160. C53×#536C22semidirect
161. C2×C4⋊Q8×C53C22semidirect
162. C53×#529C22semidirect
725. #3544D53semidirect
751. #563C2×D53semidirect
759. Q82C2×D53semidirect
763. #555C2×D53semidirect
767. #554C2×D53semidirect
777. #552C2×D53semidirect
794. #547C2×D53semidirect
813. #544C2×D53semidirect
819. #542C2×D53semidirect
834. #536C2×D53semidirect
847. C2×C4⋊Q8C2×D53semidirect
862. #529C2×D53semidirect
889. C53#62822semidirect

Maximal subgroups

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

subgroupindex
#202892582
#202892482
#202892302
#202890692
#202890592
#202890452
#202888012
#202887992
#202887502
#202887482
#202886602
#202886502
#202885552
#202884732
#202884532
#202884482
#202883582
C2×#168111742
#529×D532
C53×#35442
#6282253