Finite Group Databasebeta

← #28293276

Subgroups — #28293276

Order 13568.

7310 conjugacy classes of subgroups.

The subgroup lattice has 2054 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288826C211yesmaximal, characteristic, complemented
2#20288825C211yesmaximal, characteristic, complemented
3#20288817C211yesmaximal, characteristic, complemented
4#20288750C213yesmaximal, complemented
5#20288749C213yesmaximal, complemented
6#20288745C213yesmaximal, complemented
7#20288743C213yesmaximal, complemented
8#20288722C211yesmaximal, characteristic, complemented
9#20288721C211yesmaximal, characteristic, complemented
10#20288715C211yesmaximal, characteristic, complemented
11#20288712C211yesmaximal, characteristic, complemented
12#20288661C213yesmaximal, complemented
13#20288660C213yesmaximal, complemented
14#20288654C213yesmaximal, complemented
15#20288649C213yesmaximal, complemented
16#20288629C213yesmaximal, complemented
17#20288588C213yesmaximal, complemented
18#20288540C211yesmaximal, characteristic, complemented
19#20288492C211yesmaximal, characteristic, complemented
20#20288449C213yesmaximal, complemented
21#20288443C213yesmaximal, complemented
22#20288381C211yesmaximal, characteristic, complemented
23#20288381C211yesmaximal, characteristic, complemented
24#20288136C213yesmaximal, complemented
25#20288135C213yesmaximal, complemented
26#20288098C213yesmaximal, complemented
27#540×D53C213yesmaximal, complemented
28C4×#13133263C211yesmaximal, characteristic, complemented
29#20287921C211yesmaximal, characteristic, complemented
30#20287917C211yesmaximal, characteristic, complemented
31C53×#3524C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic
33C2×#13133263C2211yescharacteristic
34C22×#11719949C2211yescharacteristic
35#16811358C2213yescomplemented
36#16811355C2213yescomplemented
37#16811355C2213yescomplemented
38#16811352C2211yescharacteristic, complemented
39#16811349C2211yescharacteristic, complemented
40#16811349C2211yescharacteristic, complemented
41#16811338C2213yescomplemented
42#16811337C2213yescomplemented
43#16811336C2213yescomplemented
44#16811334C2213yescomplemented
45#16811333C2213yescomplemented
46#16811329C2213yescomplemented
47#16811329C2213yescomplemented
48#16811326C2216yescomplemented
49#16811326C2213yescomplemented
50#16811326C2213yescomplemented
51#16811324C2216yescomplemented
52#16811323C2213yescomplemented
53#16811321C2213yescomplemented
54#16811320C2213yescomplemented
55#16811320C2213yescomplemented
56#16811319C2213yescomplemented
57#16811319C2213yescomplemented
58#16811318C2216yescomplemented
59#16811317C2213yescomplemented
60#16811317C2216yescomplemented
61#16811317C2213yescomplemented
62#16811317C2213yescomplemented
63#16811315C2213yescomplemented
64#16811314C2213yescomplemented
65#16811307C2213yescomplemented
66#16811303C2216yescomplemented
67#16811302C2216yescomplemented
68#16811298C2216yescomplemented
69#16811297C2216yescomplemented
70#16811295C2211yescharacteristic, complemented
71#16811295C2213yescomplemented
72#16811295C2211yescharacteristic, complemented
73#16811295C2211yescharacteristic, complemented
74#16811294C2213yescomplemented
75#16811294C2213yescomplemented
76#16811293C2213yescomplemented
77#16811292C2211yescharacteristic, complemented
78#16811292C2211yescharacteristic, complemented
79#16811292C2211yescharacteristic, complemented
80#16811292C2211yescharacteristic, complemented
81#16811284C2211yescharacteristic, complemented
82#16811284C2211yescharacteristic, complemented
83#16811278C2213yescomplemented
84#16811276C2213yescomplemented
85#16811274C2213yescomplemented
86#16811273C2213yescomplemented
87#16811270C2216yescomplemented
88#16811268C2216yescomplemented
89#16811266C2216yescomplemented
90#16811266C2213yescomplemented
91#16811266C2213yescomplemented
92#16811266C2216yescomplemented
93#16811265C2216yescomplemented
94#16811265C2216yescomplemented
95#16811265C2216yescomplemented
96#16811264C2213yescomplemented
97#16811264C2213yescomplemented
98#16811262C2216yescomplemented
99D4×D212C2213yescomplemented
100D4×D212C2213yescomplemented
101D4×D212C2213yescomplemented
102#16811258C2213yescomplemented
103#16811257C2213yescomplemented
104#16811257C2213yescomplemented
105#16811257C2213yescomplemented
106#16811257C2213yescomplemented
107#16811253C2213yescomplemented
108#16811250C2213yescomplemented
109#16811246C2213yescomplemented
110#16811245C2213yescomplemented
111#16811243C2213yescomplemented
112#16811242C2213yescomplemented
113#16811241C2213yescomplemented
114#16811239C2213yescomplemented
115#16811237C2213yescomplemented
116#16811232C2213yescomplemented
117#16811230C2211yescharacteristic, complemented
118#16811229C2213yescomplemented
119#16811229C2213yescomplemented
120#16811228C2213yescomplemented
121#16811228C2213yescomplemented
122#16811227C2213yescomplemented
123#16811226C2213yescomplemented
124#16811226C2213yescomplemented
125#16811226C2213yescomplemented
126#16811225C2216yescomplemented
127#16811225C2216yescomplemented
128#16811225C2213yescomplemented
129#16811224C2213yescomplemented
130#16811224C2213yescomplemented
131#16811224C2213yescomplemented
132#16811223C2213yescomplemented
133#16811223C2216yescomplemented
134#16811221C2213yescomplemented
135#16811219C2213yescomplemented
136#16811216C2213yescomplemented
137#16811214C2213yescomplemented
138#16811212C2213yescomplemented
139#16811212C2216yescomplemented
140#16811212C2216yescomplemented
141#16811209C2213yescomplemented
142#16811209C2216yescomplemented
143#16811207C2213yescomplemented
144#16811207C2216yescomplemented
145#16811205C2213yescomplemented
146#16811203C2213yescomplemented
147#16811203C2213yescomplemented
148#16811191C2213yescomplemented
149#16811191C2213yescomplemented
150#16811189C2213yescomplemented
151#16811189C2213yescomplemented
152#16811177C2213yescomplemented
153#16811174C2213yescomplemented
154#16811173C2213yescomplemented
155#16811172C2216yescomplemented
156#16811170C2216yescomplemented
157#16811170C2213yescomplemented
158#16811170C2213yescomplemented
159#16811168C2213yescomplemented
160#127×D53C2213yescomplemented
161#16811160C2213yescomplemented
162#16811160C2213yescomplemented
163#16811159C2213yescomplemented
164#16811157C2213yescomplemented
165#16811156C2216yescomplemented
166#16811155C2213yescomplemented
167#16811153C2213yescomplemented
168#16811153C2213yescomplemented
169#16811152C2213yescomplemented
170#16811151C2213yescomplemented
171#16811151C2213yescomplemented
172#16811151C2216yescomplemented
173#125×D53C2213yescomplemented
174#16811136C2216yescomplemented
175#16811135C2216yescomplemented
176#16811132C2213yescomplemented
177#16811132C2213yescomplemented
178#16811132C2216yescomplemented
179#16811131C2216yescomplemented
180#123×D53C2216yescomplemented
181#123×D53C2216yescomplemented
182#121×D53C2213yescomplemented
183#121×D53C2213yescomplemented
184#121×D53C2216yescomplemented
185#121×D53C2216yescomplemented
186#16811106C2211yescharacteristic, complemented
187#16811105C2211yescharacteristic
188#16811105C2211yescharacteristic
189#16811105C2211yescharacteristic, complemented
190#16811105C2211yescharacteristic, complemented
191#16811105C2213yescomplemented
192#16811105C2213yescomplemented
193#16811105C2211yescharacteristic, complemented
194#16811105C2211yescharacteristic, complemented
195#16811104C2213yescomplemented
196#16811103C2213yescomplemented
197#16811101C2211yescharacteristic, complemented
198#16811097C2213yescomplemented
199#16811097C2213yescomplemented
200#16811097C2213yescomplemented
201#16811097C2213yescomplemented
202#16811095C2213yescomplemented
203#16811095C2213yescomplemented
204#16811095C2213yescomplemented
205#16811095C2213yescomplemented
206#41×Dic53C2211yescharacteristic, complemented
207C4×#11719949C2211yescharacteristic
208C4×#11719949C2211yescharacteristic
209C4×#11719949C2211yescharacteristic, complemented
210C4×#11719949C2211yescharacteristic, complemented
211C4×#11719949C2213yescomplemented
212C4×#11719949C2213yescomplemented
213C4×#11719945C2213yescomplemented
214#16811091C2213yescomplemented
215C2×C4×D212C2213yescomplemented
216C2×#13133179C2213yescomplemented
217C4×D4×D53C2213yescomplemented
218C4×D4×D53C2213yescomplemented
219C4×D4×D53C2213yescomplemented
220C4×D4×D53C2213yescomplemented
221#117×D53C2213yescomplemented
222#117×D53C2213yescomplemented
223C53×#559C2213yescomplemented
224C53×#557C2211yescharacteristic, complemented
225C53×#555C2213yescomplemented
226C53×#553C2213yescomplemented
227C53×#552C2213yescomplemented
228C53×#550C2211yescharacteristic, complemented
229C53×#548C2211yescharacteristic, complemented
230C53×#548C2211yescharacteristic, complemented
231C53×#542C2213yescomplemented
232C53×#540C2213yescomplemented
233C53×#529C2213yescomplemented
234C53×#529C2213yescomplemented
235C53×#520C2211yescharacteristic, complemented
236C53×#519C2211yescharacteristic, complemented
237C4×#41×C53C2211yescharacteristic, complemented
238#13133263—28no—
239#13133263—28no—
240C2×#11719949—28no—
241C2×#11719949C2313yes—
242C2×#11719949C2311yescharacteristic
243C2×#11719949C2311yescharacteristic
244C2×#11719949C2311yescharacteristic
245C2×#11719949C2313yes—
246C2×#11719949C2316yes—
247C2×#11719949C2311yescharacteristic
248C2×#11719945C2313yes—
249C2×#11719945C2313yes—
250C2×#11719945C2316yes—
251C2×#11719945C2316yes—
252C2×#11719947C2316yes—
253C22×D212C2313yes—
254C22×D212C2313yes—
255C22×D212C2313yes—
256C2×D4×D53C2313yes—
257C2×D4×D53C2313yes—
258C2×D4×D53C2313yes—
259C2×D4×D53C2313yes—
260C2×D4×D53C2316yes—
261C2×D4×D53C2316yes—
262C2×D4×D53C2316yes—
263C2×D4×D53C2316yes—
264C22×C4×D53C2313yes—
265C22×C4×D53C2316yes—
266C22×C4×D53C2316yes—
267#13133217C2313yes—
268#13133216C2313yes—
269#13133216C2313yes—
270#13133216C2311yescharacteristic
271#13133216C2313yes—
272#13133215C2313yes—
273#13133214C2313yes—
274#13133214C2313yes—
275#13133214C2313yes—
276#13133213C2313yes—
277#13133213C2313yes—
278#13133213C2313yes—
279#13133213C2313yes—
280#13133213C2313yes—
281#13133213C2316yes—
282#13133212C2316yes—
283#13133212C2313yes—
284#13133212C2313yes—
285#13133212C2313yes—
286#13133212C2313yes—
287#13133212C2313yes—
288#13133212C2313yes—
289#13133211C2313yes—
290#13133211C2316yes—
291#13133211C2313yes—
292#13133210C2313yes—
293#13133210C2313yes—
294#13133210C2316yes—
295#13133210C2311yescharacteristic
296#13133210C2313yes—
297#13133210C2311yescharacteristic
298#13133210C2311yescharacteristic
299#13133209C2313yes—
300#13133209C2313yes—
301#13133209C2311yescharacteristic
302#13133208C2313yes—
303#13133208C2313yes—
304#13133208C2313yes—
305#13133208C2313yes—
306#13133208C2313yes—
307#13133208C2311yescharacteristic
308#13133207C2313yes—
309#13133207C2313yes—
310#13133207C2313yes—
311#13133207C2316yes—
312#13133207C2311yescharacteristic
313#13133207C2311yescharacteristic
314#13133207C2311yescharacteristic
315#13133206C2313yes—
316#13133206C2313yes—
317#13133206C2313yes—
318#13133205C2316yes—
319#13133205C2313yes—
320#13133204C2313yes—
321#13133203C2313yes—
322#13133203C2316yes—
323#13133203C2316yes—
324#13133203C2313yes—
325#13133203C2313yes—
326#13133203C2313yes—
327#13133203C2313yes—
328#13133203C2313yes—
329#13133202C2313yes—
330#13133202C2313yes—
331#13133202C2313yes—
332#13133202C2316yes—
333#13133202C2316yes—
334#13133202C2316yes—
335#13133202C2316yes—
336#13133202C2313yes—
337#13133202C2316yes—
338#13133202C2313yes—
339#13133202C2313yes—
340#13133201C2313yes—
341#13133201C2316yes—
342#13133201C2316yes—
343#13133201C2313yes—
344#13133200C2316yes—
345#13133200C2313yes—
346#13133200C2313yes—
347#13133199C2313yes—
348#13133199C2313yes—
349#13133199C2313yes—
350#13133199C2313yes—
351#13133199C2316yes—
352#13133199C2316yes—
353#13133199C2313yes—
354#13133199C2316yes—
355#13133199C2316yes—
356#13133199C2313yes—
357#13133199C2316yes—
358#13133198C2316yes—
359#13133198C2313yes—
360#13133198C2313yes—
361#13133197C2313yes—
362#13133197C2316yes—
363#13133197C2313yes—
364#13133196C2313yes—
365#13133195C2313yes—
366#13133195C2313yes—
367#13133195C2316yes—
368#13133195C2313yes—
369#13133195C2316yes—
370#13133195C2313yes—
371#13133195C2313yes—
372#13133195C2313yes—
373#13133194C2313yes—
374#13133194C2311yescharacteristic
375#13133194C2311yescharacteristic
376#13133194C2313yes—
377#13133193C2313yes—
378#13133193C2313yes—
379#13133193C2313yes—
380#13133193C2316yes—
381#13133193C2313yes—
382#13133192C2313yes—
383#13133192C2313yes—
384#13133192C2316yes—
385#13133192C2316yes—
386#13133192C2313yes—
387#13133192C2316yes—
388#13133192C2316yes—
389#13133192C2313yes—
390#13133192C2313yes—
391#13133192C2313yes—
392#13133192C2313yes—
393#13133192C2313yes—
394#13133192C2316yes—
395#13133191C2313yes—
396#13133191C2316yes—
397#13133191C2313yes—
398#13133191C2313yes—
399#13133191C2313yes—
400#13133191C2313yes—
401#13133191C2313yes—
402#13133191C2313yes—
403#13133191C2316yes—
404#13133190C2316yes—
405#13133190C2316yes—
406#13133190C2316yes—
407#13133190C2313yes—
408#13133190C2316yes—
409#13133190C2316yes—
410#13133190C2316yes—
411#13133190C2313yes—
412#13133190C2313yes—
413#13133190C2313yes—
414#13133190C2316yes—
415#13133190C2316yes—
416#13133190C2316yes—
417#13133190C2313yes—
418#13133190C2313yes—
419#13133189C2313yes—
420#13133189C2316yes—
421#13133189C2316yes—
422#13133189C2313yes—
423#13133189C2313yes—
424#13133189C2313yes—
425#13133189C2316yes—
426#13133188C2316yes—
427#13133188C2316yes—
428#13133188C2313yes—
429#13133188C2313yes—
430#13133188C2313yes—
431#13133188C2313yes—
432#13133188C2313yes—
433#13133188C2313yes—
434#13133187C2316yes—
435#13133187C2316yes—
436#13133187C2313yes—
437#13133187C2316yes—
438#13133187C2316yes—
439#13133187C2316yes—
440#13133187C2313yes—
441#13133187C2316yes—
442#13133185C2313yes—
443#13133185C2316yes—
444#13133185C2316yes—
445#13133185C2313yes—
446Q8×Dic53C2311yescharacteristic
447Q8×Dic53C2311yescharacteristic
448Q8×Dic53C2311yescharacteristic
449Q8×Dic53C2313yes—
450Q8×Dic53C2311yescharacteristic
451Q8×Dic53C2313yes—
452C4×Dic106C2313yes—
453C4×Dic106C2313yes—
454C4×Dic106C2313yes—
455C4×Dic106C2311yescharacteristic
456C4×Dic106C2313yes—
457#13133182C2311yescharacteristic
458#13133182C2313yes—
459C4×D212C2316yes—
460C4×D212C2313yes—
461C4×D212C2313yes—
462C4×D212C2316yes—
463C4×D212C2316yes—
464C4×D212C2316yes—
465C4×D212C2313yes—
466C4×D212C2313yes—
467C4×D212C2313yes—
468C4×D212C2313yes—
469C4×D212C2313yes—
470C4×D212C2313yes—
471C4×D212C2313yes—
472C4×D212C2313yes—
473C4×D212C2313yes—
474C4×D212C2313yes—
475C4×D212C2313yes—
476C4×D212C2313yes—
477C4×D212C2316yes—
478C4×D212C2313yes—
479D4×Dic53C2313yes—
480D4×Dic53C2313yes—
481D4×Dic53C2313yes—
482D4×Dic53C2313yes—
483#13133179C2313yes—
484#13133179C2313yes—
485#13133179C2316yes—
486#13133179C2316yes—
487#13133179C2316yes—
488#13133179C2313yes—
489#13133179C2313yes—
490#13133179C2313yes—
491#13133179C2313yes—
492#13133179C2313yes—
493#13133179C2313yes—
494#13133179C2313yes—
495#13133179C2313yes—
496#13133179C2313yes—
497#13133179C2316yes—
498#13133179C2313yes—
499C4×C22⋊D53C2313yes—
500C4×C22⋊D53C2313yes—
501C4×C22⋊D53C2316yes—
502C4×C22⋊D53C2313yes—
503C4×C22⋊D53C2313yes—
504C4×C22⋊D53C2313yes—
505C4×C22⋊D53C2313yes—
506C4×C22⋊D53C2316yes—
507C4×C22⋊D53C2313yes—
508C4×C22⋊D53C2313yes—
509C4×C22⋊D53C2316yes—
510C4×C22⋊D53C2313yes—
511C4×C22⋊D53C2313yes—
512#13133177C2316yes—
513#13133177C2316yes—
514#13133177C2316yes—
515#13133177C2316yes—
516#13133177C2313yes—
517#13133177C2313yes—
518#13133177C2316yes—
519#13133177C2313yes—
520#13133177C2313yes—
521#13133176C2313yes—
522#13133176C2313yes—
523#13133176C2313yes—
524#13133176C2313yes—
525#13133175C2316yes—
526#13133175C2313yes—
527#13133175C2313yes—
528#13133175C2313yes—
529#13133175C2313yes—
530#13133175C2313yes—
531#13133175C2313yes—
532#13133174C2316yes—
533#13133174C2316yes—
534#13133174C2313yes—
535#13133174C2313yes—
536#13133174C2313yes—
537#13133174C2313yes—
538#13133174C2313yes—
539#13133174C2313yes—
540#13133173C2316yes—
541#13133173C2311yescharacteristic
542#13133173C2313yes—
543C2×C4⋊Dic53C2313yes—
544C4⋊C4×D53C2313yes—
545C4⋊C4×D53C2313yes—
546C4⋊C4×D53C2313yes—
547C4⋊C4×D53C2313yes—
548C4⋊C4×D53C2316yes—
549C4⋊C4×D53C2316yes—
550C4⋊C4×D53C2313yes—
551C4⋊C4×D53C2313yes—
552C4⋊C4×D53C2313yes—
553C4⋊C4×D53C2313yes—
554C2×#11719921C2316yes—
555C2×#11719921C2316yes—
556C22⋊C4×D53C2316yes—
557C22⋊C4×D53C2316yes—
558C22⋊C4×D53C2316yes—
559C22⋊C4×D53C2316yes—
560C22⋊C4×D53C2316yes—
561C22⋊C4×D53C2313yes—
562C22⋊C4×D53C2313yes—
563C22⋊C4×D53C2316yes—
564C22⋊C4×D53C2316yes—
565C2×C4×Dic53C2313yes—
566C42×D53C2313yes—
567C42×D53C2313yes—
568C42×D53C2316yes—
569C42×D53C2313yes—
570C42×D53C2313yes—
571C2×#41×C53C2311yescharacteristic
572C2×#41×C53C2311yescharacteristic
573C22×Q8×C53C2311yescharacteristic
574C4⋊Q8×C53C2313yes—
575#127×C53C2313yes—
576#126×C53C2316yes—
577#126×C53C2311yescharacteristic
578#126×C53C2313yes—
579#125×C53C2313yes—
580#125×C53C2313yes—
581#125×C53C2313yes—
582#124×C53C2313yes—
583#124×C53C2316yes—
584#124×C53C2313yes—
585#124×C53C2313yes—
586#123×C53C2313yes—
587#123×C53C2313yes—
588#123×C53C2316yes—
589#123×C53C2316yes—
590C22⋊Q8×C53C2313yes—
591C22⋊Q8×C53C2313yes—
592C22⋊Q8×C53C2313yes—
593#121×C53C2316yes—
594#121×C53C2313yes—
595#121×C53C2313yes—
596#121×C53C2313yes—
597#121×C53C2313yes—
598#121×C53C2313yes—
599C4×Q8×C53C2311yescharacteristic
600C4×Q8×C53C2311yescharacteristic
601C4×Q8×C53C2311yescharacteristic
602C4×Q8×C53C2313yes—
603C4×Q8×C53C2311yescharacteristic
604C4×Q8×C53C2313yes—
605C4×Q8×C53C2313yes—
606C4×D4×C53C2316yes—
607C4×D4×C53C2313yes—
608C4×D4×C53C2313yes—
609C4×D4×C53C2313yes—
610C4×D4×C53C2313yes—
611C4×D4×C53C2313yes—
612C4×D4×C53C2313yes—
613C4×D4×C53C2313yes—
614#117×C53C2313yes—
615#117×C53C2316yes—
616#117×C53C2313yes—
617#117×C53C2313yes—
618#117×C53C2313yes—
619C2×C4⋊C4×C53C2313yes—
620C2×C42×C53C2313yes—
621C23×D53C2413yes—
622C23×D53C2416yes—
623C23×D53C2416yes—
624#41×C53—24no—
625#41×C53—24no—
626C2×Q8×C53—24no—
627C2×Q8×C53C2413yes—
628C2×Q8×C53C2413yes—
629C2×Q8×C53C2411yescharacteristic
630C2×D4×C53C2413yes—
631C2×D4×C53C2413yes—
632C2×D4×C53C2413yes—
633C2×D4×C53C2413yes—
634C2×D4×C53C2416yes—
635C2×D4×C53C2413yes—
636C22×C4×C53C2413yes—
637C22×C4×C53C2413yes—
638C22×C4×C53C2413yes—
639C22×C4×C53C2413yes—
640C22×C4×C53C2413yes—
641C22×C4×C53C2416yes—
642C2×C22⋊D53C2413yes—
643C2×C22⋊D53C2413yes—
644C2×C22⋊D53C2413yes—
645C2×C22⋊D53C2413yes—
646C2×C22⋊D53C2416yes—
647C2×C22⋊D53C2416yes—
648C2×C22⋊D53C2416yes—
649C2×C22⋊D53C2413yes—
650C2×C22⋊D53C2413yes—
651C2×C22⋊D53C2413yes—
652C2×C22⋊D53C2413yes—
653C2×C22⋊D53C2416yes—
654C2×C22⋊D53C2413yes—
655C2×C22⋊D53C2413yes—
656C22×Dic53C2411yescharacteristic
657C22×Dic53C2413yes—
658C22×Dic53C2413yes—
659C22×Dic53C2416yes—
660#11719949—24no—
661#11719949—24no—
662#11719949—24no—
663#11719949—212no—
664#11719949—212no—
665#11719949—86no—
666#11719949#4118yescomplemented
667#11719947—86no—
668D4×D53—212no—
669D4×D53—212no—
670D4×D53—212no—
671D4×D53—212no—
672D4×D53—86no—
673D4×D53—86no—
674D4×D53—86no—
675D4×D53—86no—
676#11719945—212no—
677#11719945—212no—
678#11719945—86no—
679#11719945—86no—
680C2×D212—212no—
681C2×D212—212no—
682C2×D212—212no—
683C2×D212C2413yes—
684C2×D212C2416yes—
685C2×D212C2413yes—
686C2×D212C2413yes—
687C2×D212C2413yes—
688C2×D212C2413yes—
689C2×D212C2416yes—
690C2×D212C2413yes—
691C2×D212C2413yes—
692C2×D212C2416yes—
693C2×D212C2416yes—
694C2×D212C2413yes—
695C2×D212C2413yes—
696C2×C4×D53—212no—
697C2×C4×D53—86no—
698C2×C4×D53—86no—
699C2×C4×D53C2413yes—
700C2×C4×D53C2413yes—
701C2×C4×D53C2413yes—
702C2×C4×D53C2413yes—
703C2×C4×D53C2413yes—
704C2×C4×D53C2413yes—
705C2×C4×D53C2413yes—
706C2×C4×D53C2413yes—
707C2×C4×D53C2413yes—
708C2×C4×D53C2413yes—
709C2×C4×D53C2413yes—
710C2×C4×D53C2416yes—
711C2×C4×D53C2416yes—
712C2×C4×D53C2413yes—
713C2×C4×D53C2413yes—
714C2×C4×D53C2416yes—
715C2×C4×D53C2416yes—
716C2×C4×D53C2416yes—
717C2×C4×D53C2416yes—
718C2×C4×D53C2413yes—
719C2×Dic106C2411yescharacteristic
720C2×Dic106C2411yescharacteristic
721C2×Dic106C2413yes—
722C2×Dic106C2413yes—
723C2×Dic106C2413yes—
724C4⋊C4×C53C2413yes—
725C4⋊C4×C53C2413yes—
726C4⋊C4×C53C2413yes—
727C4⋊C4×C53C2411yescharacteristic
728C4⋊C4×C53C2413yes—
729C4⋊C4×C53C2413yes—
730C4⋊C4×C53C2413yes—
731C4⋊C4×C53C2413yes—
732C4⋊C4×C53C2413yes—
733C4⋊C4×C53C2416yes—
734C4⋊C4×C53C2411yescharacteristic
735C4⋊C4×C53C2413yes—
736C4⋊C4×C53C2413yes—
737C4⋊C4×C53C2411yescharacteristic
738C4⋊C4×C53C2413yes—
739C22⋊C4×C53C2411yescharacteristic
740C22⋊C4×C53C2413yes—
741C22⋊C4×C53C2413yes—
742C22⋊C4×C53C2413yes—
743C22⋊C4×C53C2416yes—
744C22⋊C4×C53C2413yes—
745C22⋊C4×C53C2416yes—
746C22⋊C4×C53C2411yescharacteristic
747C22⋊C4×C53C2413yes—
748C22⋊C4×C53C2411yescharacteristic
749C22⋊C4×C53C2413yes—
750C22⋊C4×C53C2416yes—
751C22⋊C4×C53C2413yes—
752C42×C53C2411yescharacteristic
753C42×C53C2413yes—
754C42×C53C2413yes—
755C42×C53C2413yes—
756C42×C53C2416yes—
757C42×C53C2413yes—
758C42×C53C2413yes—
759C22⋊Dic53C2411yescharacteristic
760C22⋊Dic53C2413yes—
761C22⋊Dic53C2416yes—
762C22⋊Dic53C2413yes—
763C22⋊Dic53C2413yes—
764C22⋊Dic53C2413yes—
765C22⋊Dic53C2413yes—
766C22⋊Dic53C2413yes—
767C22⋊Dic53C2411yescharacteristic
768C22⋊Dic53C2411yescharacteristic
769C22⋊Dic53C2413yes—
770#11719921C2416yes—
771#11719921C2413yes—
772#11719921C2413yes—
773#11719921C2413yes—
774#11719921C2413yes—
775#11719921C2413yes—
776#11719921C2413yes—
777#11719921C2416yes—
778#11719921C2416yes—
779#11719921C2416yes—
780#11719921C2413yes—
781#11719921C2413yes—
782#11719921C2413yes—
783#11719921C2413yes—
784#11719921C2416yes—
785#11719921C2416yes—
786#11719921C2413yes—
787#11719921C2413yes—
788#11719921C2413yes—
789#11719921C2413yes—
790#11719921C2413yes—
791#11719921C2413yes—
792#11719921C2413yes—
793#11719921C2413yes—
794#11719921C2413yes—
795#11719921C2413yes—
796#11719921C2413yes—
797#11719921C2413yes—
798#11719921C2413yes—
799#11719921C2413yes—
800C4⋊Dic53C2413yes—
801C4⋊Dic53C2413yes—
802C4⋊Dic53C2413yes—
803C4⋊Dic53C2413yes—
804C4⋊Dic53C2413yes—
805C4⋊Dic53C2413yes—
806C4⋊Dic53C2413yes—
807C4⋊Dic53C2416yes—
808C4⋊Dic53C2413yes—
809C4⋊Dic53C2411yescharacteristic
810C4⋊Dic53C2411yescharacteristic
811C4⋊Dic53C2411yescharacteristic
812C4⋊Dic53C2411yescharacteristic
813C4⋊Dic53C2413yes—
814C4⋊Dic53C2411yescharacteristic
815#11719919C2413yes—
816#11719919C2413yes—
817#11719919C2411yescharacteristic
818#11719919C2411yescharacteristic
819#11719919C2413yes—
820#11719919C2413yes—
821#11719919C2413yes—
822#11719919C2413yes—
823#11719919C2413yes—
824#11719919C2413yes—
825#11719919C2416yes—
826#11719919C2416yes—
827#11719919C2413yes—
828#11719919C2411yescharacteristic
829#11719919C2411yescharacteristic
830#11719919C2411yescharacteristic
831#11719919C2411yescharacteristic
832#11719919C2413yes—
833#11719919C2413yes—
834#11719919C2413yes—
835#11719919C2411yescharacteristic
836#11719919C2411yescharacteristic
837#11719919C2411yescharacteristic
838#11719919C2411yescharacteristic
839#11719919C2411yescharacteristic
840#11719919C2411yescharacteristic
841C4×Dic53C2411yescharacteristic
842C4×Dic53C2413yes—
843C4×Dic53C2413yes—
844C4×Dic53C2411yescharacteristic
845C4×Dic53C2411yescharacteristic
846C4×Dic53C2411yescharacteristic
847C4×Dic53C2413yes—
848C4×Dic53C2413yes—
849C4×Dic53C2416yes—
850C4×Dic53C2413yes—
851C4×Dic53C2413yes—
852C4×Dic53C2413yes—
853C4×Dic53C2411yescharacteristic
854C4×Dic53C2413yes—
855C4×Dic53C2413yes—
856C23×C53C2513yes—
857C23×C53C2513yes—
858C23×C53C2511yescharacteristic
859C22×D53—26no—
860C22×D53—212no—
861C22×D53—212no—
862C22×D53—46no—
863C22×D53—46no—
864C22×D53—43no—
865C22×D53—43no—
866C22×D53—46no—
867C22×D53—46no—
868C22×D53C2513yes—
869C22×D53C2513yes—
870C22×D53C2513yes—
871C22×D53C2513yes—
872Q8×C53—26no—
873Q8×C53—43no—
874Q8×C53C2×#4114yes—
875D4×C53—26no—
876D4×C53—26no—
877D4×C53—43no—
878D4×C53—43no—
879D4×C53—43no—
880D4×C53—46no—
881C2×C4×C53—26no—
882C2×C4×C53—26no—
883C2×C4×C53—26no—
884C2×C4×C53—43no—
885C2×C4×C53—46no—
886C2×C4×C53—43no—
887C2×C4×C53C2511yescharacteristic
888C2×C4×C53C2513yes—
889C2×C4×C53C2513yes—
890C2×C4×C53C2511yescharacteristic
891C2×C4×C53C2511yescharacteristic
892C2×C4×C53C2511yescharacteristic
893C2×C4×C53C2513yes—
894C2×C4×C53C2513yes—
895C2×C4×C53C2511yescharacteristic
896C2×C4×C53C2511yescharacteristic
897C2×C4×C53C2513yes—
898C2×C4×C53C2513yes—
899C22⋊D53—26no—
900C22⋊D53—26no—
901C22⋊D53—26no—
902C22⋊D53—26no—
903C22⋊D53—43no—
904C22⋊D53—46no—
905C22⋊D53—46no—
906C22⋊D53—46no—
907C22⋊D53—43no—
908C22⋊D53—43no—
909C22⋊D53—43no—
910C22⋊D53—43no—
911C22⋊D53—46no—
912C22⋊D53—43no—
913C2×Dic53—22no—
914C2×Dic53—43no—
915C2×Dic53—46no—
916C2×Dic53—43no—
917C2×Dic53C2511yescharacteristic
918C2×Dic53C2511yescharacteristic
919C2×Dic53C2513yes—
920C2×Dic53C2513yes—
921C2×Dic53C2513yes—
922C2×Dic53C2511yescharacteristic
923C2×Dic53C2511yescharacteristic
924C2×Dic53C2511yescharacteristic
925C2×Dic53C2513yes—
926C2×Dic53C2511yescharacteristic
927C2×Dic53C2511yescharacteristic
928C2×Dic53C2511yescharacteristic
929D212—26no—
930D212—26no—
931D212—212no—
932D212—26no—
933D212—26no—
934D212—26no—
935D212—43no—
936D212—46no—
937D212—43no—
938D212—46no—
939D212—46no—
940D212—43no—
941D212C2×#41112yes—
942C4×D53—26no—
943C4×D53—26no—
944C4×D53—26no—
945C4×D53—26no—
946C4×D53—26no—
947C4×D53—43no—
948C4×D53—43no—
949C4×D53—43no—
950C4×D53—43no—
951C4×D53—46no—
952C4×D53—46no—
953C4×D53—46no—
954C4×D53—46no—
955C4×D53—43no—
956C4×D53—46no—
957C4×D53—43no—
958C4×D53—43no—
959C4×D53—46no—
960C4×D53—43no—
961C4×D53C2×#41112yes—
962Dic106—22no—
963Dic106—22no—
964Dic106—43no—
965Dic106—43no—
966Dic106—43no—
967#62858—531nomaximal, Sylow
968C22×C53—21no—
969C22×C53—23no—
970C22×C53—23no—
971C22×C53—23no—
972C22×C53—23no—
973C22×C53—23no—
974C22×C53—23no—
975C22×C53—21no—
976C22×C53—21no—
977C22×C53C2611yescharacteristic
978C2×D53—23no—
979C2×D53—23no—
980C2×D53—23no—
981C2×D53—23no—
982C2×D53—23no—
983C2×D53—23no—
984C2×D53—23no—
985C2×D53—23no—
986C2×D53—23no—
987C2×D53—23no—
988C2×D53—23no—
989C2×D53—86no—
990C2×D53—812no—
991C2×D53—812no—
992C2×D53C22×#4116yes—
993C4×C53—21no—
994C4×C53—21no—
995C4×C53—23no—
996C4×C53—21no—
997C4×C53—23no—
998C4×C53—23no—
999C4×C53—21no—
1000C4×C53—23no—
1001C4×C53—23no—
1002C4×C53—21no—
1003C4×C53—21no—
1004C4×C53C22×#4116yes—
1005Dic53—21no—
1006Dic53—21no—
1007Dic53—21no—
1008Dic53—21no—
1009Dic53—21no—
1010Dic53—23no—
1011Dic53—23no—
1012Dic53—23no—
1013Dic53—21no—
1014Dic53—23no—
1015Dic53—21no—
1016Dic53C22×#4112yes—
1017#3524—531no—
1018#3524—531no—
1019#3524—531no—
1020#3524D5311yescharacteristic, complemented
1021#3519—533no—
1022#3519—533no—
1023#3519—533no—
1024#3519—533no—
1025#3517—531no—
1026#3517—531no—
1027#3517—531no—
1028#3517—531no—
1029#3513—533no—
1030#3513—533no—
1031#3513—533no—
1032#3513—533no—
1033#3512—533no—
1034#3508—533no—
1035#3504—531no—
1036#3498—531no—
1037#3494—533no—
1038#3494—533no—
1039#3488—531no—
1040#3488—531no—
1041#3460—533no—
1042#3460—533no—
1043#3455—533no—
1044C2×#540—533no—
1045C4×H(5,𝔽2)—531no—
1046C4×H(5,𝔽2)—531no—
1047#3428—531no—
1048C2×C53—41no—
1049C2×C53—43no—
1050C2×C53—43no—
1051C2×C53C23×#4111yescharacteristic
1052C2×C53H(7,𝔽2)11yescharacteristic
1053C2×C53H(7,𝔽2)11yescharacteristic
1054D53—26no—
1055D53—43no—
1056D53—43no—
1057D53—43no—
1058C2×H(5,𝔽2)—531no—
1059C2×H(5,𝔽2)—531no—
1060C22×#41—531no—
1061#559—533no—
1062#559—533no—
1063#559—533no—
1064#559C2×D5313yescomplemented
1065#557—531no—
1066#557—531no—
1067#557—531no—
1068#557C2×D5311yescharacteristic, complemented
1069#555—533no—
1070#555—533no—
1071#555—533no—
1072#555C2×D5313yescomplemented
1073#554—533no—
1074#554—533no—
1075#554—533no—
1076#554—533no—
1077#553—536no—
1078#553—533no—
1079#553—536no—
1080#553—533no—
1081#553—536no—
1082#553—533no—
1083#553—533no—
1084#553—533no—
1085#553—533no—
1086#553—533no—
1087#553—533no—
1088#553—533no—
1089#553—536no—
1090#553—533no—
1091#553—533no—
1092#553C2×D5313yescomplemented
1093#552—533no—
1094#552—533no—
1095#552—533no—
1096#552C2×D5313yescomplemented
1097#551—536no—
1098#551—536no—
1099#551—536no—
1100#551—536no—
1101#550—531no—
1102#550—531no—
1103#550—531no—
1104#550—531no—
1105#550—533no—
1106#550—531no—
1107#550—531no—
1108#550—531no—
1109#550—533no—
1110#550—533no—
1111#550—533no—
1112#550C2×D5311yescharacteristic, complemented
1113#548—531no—
1114#548—531no—
1115#548C2×D5311yescharacteristic, complemented
1116#548C2×D5311yescharacteristic, complemented
1117#547—533no—
1118#547—533no—
1119#547—533no—
1120#547—533no—
1121#546—533no—
1122#546—533no—
1123#546—536no—
1124#546—536no—
1125#546—536no—
1126#546—536no—
1127#546—536no—
1128#546—533no—
1129#546—533no—
1130#546—536no—
1131#546—536no—
1132#546—536no—
1133D42—533no—
1134D42—533no—
1135D42—533no—
1136D42—533no—
1137D42—533no—
1138D42—533no—
1139D42—533no—
1140D42—533no—
1141#544—533no—
1142#544—533no—
1143#542—533no—
1144#542—533no—
1145#542—533no—
1146#542—533no—
1147#542—533no—
1148#542—533no—
1149#542—533no—
1150#542C2×D5313yescomplemented
1151#541—531no—
1152#541—533no—
1153#540—533no—
1154#540—533no—
1155#540—533no—
1156#540—536no—
1157#540—536no—
1158#540—533no—
1159#540—533no—
1160#540—536no—
1161#540—533no—
1162#540—533no—
1163#540—533no—
1164#540—533no—
1165#540—533no—
1166#540—533no—
1167#540—533no—
1168#540—533no—
1169#540C2×D5313yescomplemented
1170#539—533no—
1171#539—533no—
1172#539—533no—
1173#539—533no—
1174#538—533no—
1175#538—536no—
1176#538—536no—
1177#538—533no—
1178#538—536no—
1179#538—533no—
1180#538—536no—
1181#538—533no—
1182#537—533no—
1183#537—533no—
1184#535—533no—
1185#535—533no—
1186#535—533no—
1187#535—533no—
1188#533—533no—
1189#532—533no—
1190#532—536no—
1191#532—533no—
1192#532—533no—
1193#532—536no—
1194#532—533no—
1195#532—533no—
1196C2×#127—533no—
1197#529—536no—
1198#529—533no—
1199#529—533no—
1200#529—533no—
1201#529—533no—
1202#529—533no—
1203#529—533no—
1204#529—533no—
1205#529—533no—
1206#529—533no—
1207#529—536no—
1208#529—533no—
1209#529C2×D5313yescomplemented
1210#529C2×D5313yescomplemented
1211C2×#125—533no—
1212#525—536no—
1213#525—536no—
1214#525—533no—
1215#525—533no—
1216#525—536no—
1217#525—536no—
1218C2×#123—536no—
1219C2×#123—536no—
1220C2×#121—533no—
1221C2×#121—533no—
1222C2×#121—536no—
1223C2×#121—536no—
1224#520—531no—
1225#520—531no—
1226#520—531no—
1227#520—533no—
1228#520—533no—
1229#520—531no—
1230#520—531no—
1231#520—531no—
1232#520—531no—
1233#520—533no—
1234#520—533no—
1235#520C2×D5311yescharacteristic, complemented
1236#519—531no—
1237#519C2×D5311yescharacteristic, complemented
1238#518—533no—
1239#518—533no—
1240#518—533no—
1241#518—533no—
1242#518—533no—
1243#518—533no—
1244#518—533no—
1245#518—533no—
1246C4×#41—531no—
1247C4×#41—531no—
1248C4×#41—531no—
1249C4×#41—533no—
1250C4×#41—533no—
1251C4×#41—531no—
1252C4×#41—531no—
1253C4×#41—533no—
1254C4×#41—533no—
1255C4×#41C2×D5311yescharacteristic, complemented
1256C2×C4×D4—533no—
1257C2×C4×D4—533no—
1258C2×C4×D4—533no—
1259C2×C4×D4—533no—
1260C2×C4×D4—533no—
1261C2×C4×D4—533no—
1262C2×#117—533no—
1263C2×#117—533no—
1264C53#6285811yescharacteristic, complemented, Sylow
1265H(5,𝔽2)—1068no—
1266H(5,𝔽2)—1068no—
1267C2×#41—531no—
1268C2×#41—533no—
1269C2×#41—531no—
1270C2×#41—531no—
1271C2×#41—533no—
1272C2×#41—531no—
1273C2×#41—536no—
1274C2×#41—536no—
1275C2×#41—533no—
1276C2×#41—533no—
1277C2×#41—536no—
1278C2×#41—536no—
1279C2×#41—1068no—
1280C2×#41C22×D5311yescharacteristic
1281C2×#41C22×D5311yescharacteristic
1282C22×Q8C22×D5311yescharacteristic
1283C22×D4—533no—
1284C22×D4—533no—
1285C22×D4—533no—
1286C22×D4—533no—
1287C22×D4—536no—
1288C22×D4—536no—
1289C22×D4—536no—
1290C22×D4—536no—
1291C22×D4—533no—
1292C22×D4—533no—
1293C22×D4—533no—
1294C23×C4—533no—
1295C23×C4—536no—
1296C23×C4—536no—
1297C4⋊Q8—533no—
1298C4⋊Q8—531no—
1299C4⋊Q8—533no—
1300C4⋊Q8—533no—
1301C4⋊Q8—533no—
1302C4⋊Q8—533no—
1303C4⋊Q8C22×D5313yes—
1304#127—533no—
1305#127—536no—
1306#127—533no—
1307#127—533no—
1308#127—533no—
1309#127—533no—
1310#127—533no—
1311#127—533no—
1312#127—533no—
1313#127C22×D5313yes—
1314#126—533no—
1315#126—533no—
1316#126—533no—
1317#126—533no—
1318#126—533no—
1319#126—536no—
1320#126—533no—
1321#126—531no—
1322#126—531no—
1323#126—531no—
1324#126—533no—
1325#126—536no—
1326#126—533no—
1327#126—533no—
1328#126—533no—
1329#126—536no—
1330#126—533no—
1331#126C22×D5316yes—
1332#126C22×D5311yescharacteristic
1333#126C22×D5313yes—
1334#125—533no—
1335#125—536no—
1336#125—533no—
1337#125—533no—
1338#125—531no—
1339#125—531no—
1340#125—531no—
1341#125—533no—
1342#125—533no—
1343#125—533no—
1344#125—533no—
1345#125—533no—
1346#125—531no—
1347#125—533no—
1348#125—531no—
1349#125—533no—
1350#125C22×D5313yes—
1351#125C22×D5313yes—
1352#125C22×D5313yes—
1353#124—533no—
1354#124—533no—
1355#124—533no—
1356#124—533no—
1357#124—533no—
1358#124—533no—
1359#124—533no—
1360#124—533no—
1361#124—533no—
1362#124—533no—
1363#124—536no—
1364#124—536no—
1365#124—533no—
1366#124—536no—
1367#124C22×D5313yes—
1368#124C22×D5313yes—
1369#124C22×D5313yes—
1370#124C22×D5316yes—
1371#123—533no—
1372#123—536no—
1373#123—533no—
1374#123—533no—
1375#123—536no—
1376#123—533no—
1377#123—533no—
1378#123—536no—
1379#123—536no—
1380#123—536no—
1381#123—533no—
1382#123—533no—
1383#123—533no—
1384#123—533no—
1385#123—536no—
1386#123—536no—
1387#123—533no—
1388#123—533no—
1389#123—536no—
1390#123—536no—
1391#123—536no—
1392#123—536no—
1393#123—536no—
1394#123—533no—
1395#123—533no—
1396#123—533no—
1397#123—536no—
1398#123—536no—
1399#123—533no—
1400#123—533no—
1401#123—533no—
1402#123—533no—
1403#123C22×D5316yes—
1404#123C22×D5316yes—
1405#123C22×D5313yes—
1406#123C22×D5313yes—
1407C22⋊Q8—536no—
1408C22⋊Q8—533no—
1409C22⋊Q8—533no—
1410C22⋊Q8—533no—
1411C22⋊Q8—533no—
1412C22⋊Q8—533no—
1413C22⋊Q8—533no—
1414C22⋊Q8—533no—
1415C22⋊Q8—533no—
1416C22⋊Q8—533no—
1417C22⋊Q8—536no—
1418C22⋊Q8—536no—
1419C22⋊Q8—536no—
1420C22⋊Q8—533no—
1421C22⋊Q8—533no—
1422C22⋊Q8—533no—
1423C22⋊Q8—533no—
1424C22⋊Q8—531no—
1425C22⋊Q8—531no—
1426C22⋊Q8—533no—
1427C22⋊Q8—533no—
1428C22⋊Q8C22×D5313yes—
1429C22⋊Q8C22×D5313yes—
1430C22⋊Q8C22×D5313yes—
1431#121—533no—
1432#121—533no—
1433#121—533no—
1434#121—533no—
1435#121—536no—
1436#121—536no—
1437#121—536no—
1438#121—533no—
1439#121—533no—
1440#121—536no—
1441#121—533no—
1442#121—533no—
1443#121—533no—
1444#121—533no—
1445#121—536no—
1446#121—536no—
1447#121—533no—
1448#121—533no—
1449#121—536no—
1450#121—533no—
1451#121—533no—
1452#121—533no—
1453#121—533no—
1454#121—533no—
1455#121—536no—
1456#121—533no—
1457#121—533no—
1458#121—536no—
1459#121—536no—
1460#121—536no—
1461#121—533no—
1462#121—533no—
1463#121—533no—
1464#121—533no—
1465#121—533no—
1466#121—533no—
1467#121—536no—
1468#121—533no—
1469#121—536no—
1470#121—536no—
1471#121—536no—
1472#121—536no—
1473#121—536no—
1474#121—533no—
1475#121—533no—
1476#121—536no—
1477#121—536no—
1478#121—533no—
1479#121—533no—
1480#121—533no—
1481#121—536no—
1482#121—536no—
1483#121C22×D5313yes—
1484#121C22×D5313yes—
1485#121C22×D5313yes—
1486#121C22×D5316yes—
1487#121C22×D5313yes—
1488#121C22×D5313yes—
1489#120—536no—
1490#120—536no—
1491#120—533no—
1492#120—533no—
1493#120—536no—
1494#120—536no—
1495#120—536no—
1496#120—536no—
1497#120—536no—
1498#120—536no—
1499#120—533no—
1500#120—533no—
1501C4×Q8—531no—
1502C4×Q8—533no—
1503C4×Q8—531no—
1504C4×Q8—533no—
1505C4×Q8—531no—
1506C4×Q8—531no—
1507C4×Q8—531no—
1508C4×Q8—533no—
1509C4×Q8—531no—
1510C4×Q8—533no—
1511C4×Q8—533no—
1512C4×Q8—533no—
1513C4×Q8—533no—
1514C4×Q8C22×D5311yescharacteristic
1515C4×Q8C22×D5313yes—
1516C4×Q8C22×D5311yescharacteristic
1517C4×Q8C22×D5313yes—
1518C4×Q8C22×D5311yescharacteristic
1519C4×Q8C22×D5311yescharacteristic
1520C4×Q8C22×D5313yes—
1521C4×D4—533no—
1522C4×D4—533no—
1523C4×D4—533no—
1524C4×D4—533no—
1525C4×D4—533no—
1526C4×D4—533no—
1527C4×D4—536no—
1528C4×D4—536no—
1529C4×D4—533no—
1530C4×D4—533no—
1531C4×D4—533no—
1532C4×D4—533no—
1533C4×D4—533no—
1534C4×D4—533no—
1535C4×D4—536no—
1536C4×D4—533no—
1537C4×D4—533no—
1538C4×D4—533no—
1539C4×D4—533no—
1540C4×D4—533no—
1541C4×D4—533no—
1542C4×D4—533no—
1543C4×D4—533no—
1544C4×D4—536no—
1545C4×D4—533no—
1546C4×D4—533no—
1547C4×D4—533no—
1548C4×D4—536no—
1549C4×D4—533no—
1550C4×D4—533no—
1551C4×D4—536no—
1552C4×D4—533no—
1553C4×D4—536no—
1554C4×D4—533no—
1555C4×D4—533no—
1556C4×D4—536no—
1557C4×D4—536no—
1558C4×D4—533no—
1559C4×D4—533no—
1560C4×D4—536no—
1561C4×D4—536no—
1562C4×D4—536no—
1563C4×D4—533no—
1564C4×D4—533no—
1565C4×D4—533no—
1566C4×D4—533no—
1567C4×D4—533no—
1568C4×D4—533no—
1569C4×D4—536no—
1570C4×D4—533no—
1571C4×D4—533no—
1572C4×D4—533no—
1573C4×D4—536no—
1574C4×D4—533no—
1575C4×D4—533no—
1576C4×D4—536no—
1577C4×D4—533no—
1578C4×D4—533no—
1579C4×D4—533no—
1580C4×D4—536no—
1581C4×D4—536no—
1582C4×D4—533no—
1583C4×D4C22×D5313yes—
1584C4×D4C22×D5313yes—
1585C4×D4C22×D5313yes—
1586C4×D4C22×D5313yes—
1587C4×D4C22×D5313yes—
1588C4×D4C22×D5313yes—
1589C4×D4C22×D5316yes—
1590C4×D4C22×D5313yes—
1591#117—533no—
1592#117—533no—
1593#117—533no—
1594#117—533no—
1595#117—533no—
1596#117—533no—
1597#117—533no—
1598#117—533no—
1599#117—533no—
1600#117—533no—
1601#117—536no—
1602#117—531no—
1603#117—533no—
1604#117—536no—
1605#117—533no—
1606#117—533no—
1607#117—536no—
1608#117—533no—
1609#117—533no—
1610#117—533no—
1611#117—533no—
1612#117—536no—
1613#117C22×D5313yes—
1614#117C22×D5313yes—
1615#117C22×D5313yes—
1616#117C22×D5313yes—
1617#117C22×D5316yes—
1618C2×C4⋊C4—533no—
1619C2×C4⋊C4—533no—
1620C2×C4⋊C4—533no—
1621C2×C4⋊C4—533no—
1622C2×C4⋊C4—533no—
1623C2×C4⋊C4—533no—
1624C2×C4⋊C4—533no—
1625C2×C4⋊C4—533no—
1626C2×C4⋊C4—533no—
1627C2×C4⋊C4—536no—
1628C2×C4⋊C4—536no—
1629C2×C4⋊C4C22×D5313yes—
1630C2×C22⋊C4—536no—
1631C2×C22⋊C4—536no—
1632C2×C22⋊C4—533no—
1633C2×C22⋊C4—533no—
1634C2×C22⋊C4—536no—
1635C2×C22⋊C4—536no—
1636C2×C22⋊C4—536no—
1637C2×C22⋊C4—536no—
1638C2×C22⋊C4—536no—
1639C2×C22⋊C4—536no—
1640C2×C22⋊C4—536no—
1641C2×C42—533no—
1642C2×C42—533no—
1643C2×C42—533no—
1644C2×C42—536no—
1645C2×C42—533no—
1646C2×C42—533no—
1647C2×C42C22×D5313yes—
1648C24—536no—
1649C24—536no—
1650C24—533no—
1651#41—24no—
1652#41—24no—
1653#41—538no—
1654#41—10612no—
1655#41—10612no—
1656#41—10612no—
1657#41—10612no—
1658#41—1064no—
1659#41—1064no—
1660#41—1064no—
1661#41—4246no—
1662#41—4246no—
1663#41—4246no—
1664#41—4246no—
1665C2×Q8—24no—
1666C2×Q8—531no—
1667C2×Q8—531no—
1668C2×Q8—533no—
1669C2×Q8—533no—
1670C2×Q8—533no—
1671C2×Q8C23×D5313yes—
1672C2×Q8C23×D5313yes—
1673C2×Q8C23×D5311yescharacteristic
1674C2×D4—533no—
1675C2×D4—533no—
1676C2×D4—533no—
1677C2×D4—533no—
1678C2×D4—533no—
1679C2×D4—533no—
1680C2×D4—536no—
1681C2×D4—536no—
1682C2×D4—533no—
1683C2×D4—533no—
1684C2×D4—536no—
1685C2×D4—536no—
1686C2×D4—533no—
1687C2×D4—533no—
1688C2×D4—533no—
1689C2×D4—536no—
1690C2×D4—533no—
1691C2×D4—533no—
1692C2×D4—533no—
1693C2×D4—533no—
1694C2×D4—533no—
1695C2×D4—533no—
1696C2×D4—533no—
1697C2×D4—536no—
1698C2×D4—536no—
1699C2×D4—536no—
1700C2×D4—533no—
1701C2×D4—10612no—
1702C2×D4—10612no—
1703C2×D4—10612no—
1704C2×D4—10612no—
1705C2×D4—10612no—
1706C2×D4—10612no—
1707C2×D4—10612no—
1708C2×D4—4246no—
1709C2×D4—4246no—
1710C2×D4—4246no—
1711C2×D4—4246no—
1712C2×D4C23×D5313yes—
1713C2×D4C23×D5313yes—
1714C2×D4C23×D5316yes—
1715C2×D4C23×D5313yes—
1716C2×D4C23×D5313yes—
1717C2×D4C23×D5313yes—
1718C22×C4—533no—
1719C22×C4—531no—
1720C22×C4—533no—
1721C22×C4—533no—
1722C22×C4—536no—
1723C22×C4—533no—
1724C22×C4—533no—
1725C22×C4—533no—
1726C22×C4—533no—
1727C22×C4—533no—
1728C22×C4—533no—
1729C22×C4—533no—
1730C22×C4—533no—
1731C22×C4—533no—
1732C22×C4—533no—
1733C22×C4—533no—
1734C22×C4—536no—
1735C22×C4—536no—
1736C22×C4—533no—
1737C22×C4—533no—
1738C22×C4—536no—
1739C22×C4—536no—
1740C22×C4—536no—
1741C22×C4—536no—
1742C22×C4—10612no—
1743C22×C4—4246no—
1744C22×C4—4246no—
1745C22×C4C23×D5313yes—
1746C22×C4C23×D5313yes—
1747C22×C4C23×D5313yes—
1748C22×C4C23×D5313yes—
1749C22×C4C23×D5313yes—
1750C22×C4C23×D5316yes—
1751C4⋊C4—533no—
1752C4⋊C4—533no—
1753C4⋊C4—533no—
1754C4⋊C4—531no—
1755C4⋊C4—531no—
1756C4⋊C4—533no—
1757C4⋊C4—533no—
1758C4⋊C4—533no—
1759C4⋊C4—533no—
1760C4⋊C4—533no—
1761C4⋊C4—533no—
1762C4⋊C4—533no—
1763C4⋊C4—533no—
1764C4⋊C4—533no—
1765C4⋊C4—533no—
1766C4⋊C4—533no—
1767C4⋊C4—533no—
1768C4⋊C4—533no—
1769C4⋊C4—536no—
1770C4⋊C4—536no—
1771C4⋊C4—536no—
1772C4⋊C4—531no—
1773C4⋊C4—531no—
1774C4⋊C4—531no—
1775C4⋊C4—531no—
1776C4⋊C4—531no—
1777C4⋊C4—533no—
1778C4⋊C4—533no—
1779C4⋊C4—531no—
1780C4⋊C4—531no—
1781C4⋊C4—531no—
1782C4⋊C4—531no—
1783C4⋊C4—531no—
1784C4⋊C4—531no—
1785C4⋊C4—531no—
1786C4⋊C4—533no—
1787C4⋊C4—533no—
1788C4⋊C4—533no—
1789C4⋊C4—531no—
1790C4⋊C4—531no—
1791C4⋊C4—531no—
1792C4⋊C4C23×D5313yes—
1793C4⋊C4C23×D5313yes—
1794C4⋊C4C23×D5313yes—
1795C4⋊C4C23×D5313yes—
1796C4⋊C4C23×D5313yes—
1797C4⋊C4C23×D5313yes—
1798C4⋊C4C23×D5313yes—
1799C4⋊C4C23×D5316yes—
1800C4⋊C4C23×D5313yes—
1801C4⋊C4C23×D5313yes—
1802C4⋊C4C23×D5311yescharacteristic
1803C4⋊C4C23×D5313yes—
1804C4⋊C4C23×D5311yescharacteristic
1805C4⋊C4C23×D5313yes—
1806C4⋊C4C23×D5311yescharacteristic
1807C22⋊C4—531no—
1808C22⋊C4—533no—
1809C22⋊C4—533no—
1810C22⋊C4—536no—
1811C22⋊C4—533no—
1812C22⋊C4—533no—
1813C22⋊C4—533no—
1814C22⋊C4—533no—
1815C22⋊C4—531no—
1816C22⋊C4—531no—
1817C22⋊C4—533no—
1818C22⋊C4—536no—
1819C22⋊C4—533no—
1820C22⋊C4—533no—
1821C22⋊C4—533no—
1822C22⋊C4—533no—
1823C22⋊C4—536no—
1824C22⋊C4—533no—
1825C22⋊C4—536no—
1826C22⋊C4—533no—
1827C22⋊C4—533no—
1828C22⋊C4—533no—
1829C22⋊C4—533no—
1830C22⋊C4—533no—
1831C22⋊C4—536no—
1832C22⋊C4—533no—
1833C22⋊C4—533no—
1834C22⋊C4—533no—
1835C22⋊C4—533no—
1836C22⋊C4—536no—
1837C22⋊C4—536no—
1838C22⋊C4—533no—
1839C22⋊C4—533no—
1840C22⋊C4—533no—
1841C22⋊C4—533no—
1842C22⋊C4—533no—
1843C22⋊C4—533no—
1844C22⋊C4—533no—
1845C22⋊C4—533no—
1846C22⋊C4—533no—
1847C22⋊C4—533no—
1848C22⋊C4C23×D5311yescharacteristic
1849C22⋊C4C23×D5313yes—
1850C22⋊C4C23×D5313yes—
1851C22⋊C4C23×D5316yes—
1852C22⋊C4C23×D5313yes—
1853C22⋊C4C23×D5316yes—
1854C22⋊C4C23×D5316yes—
1855C22⋊C4C23×D5313yes—
1856C22⋊C4C23×D5313yes—
1857C22⋊C4C23×D5313yes—
1858C22⋊C4C23×D5311yescharacteristic
1859C22⋊C4C23×D5311yescharacteristic
1860C22⋊C4C23×D5313yes—
1861C42—531no—
1862C42—533no—
1863C42—533no—
1864C42—533no—
1865C42—531no—
1866C42—531no—
1867C42—531no—
1868C42—531no—
1869C42—533no—
1870C42—533no—
1871C42—533no—
1872C42—536no—
1873C42—533no—
1874C42—533no—
1875C42—533no—
1876C42C23×D5313yes—
1877C42C23×D5316yes—
1878C42C23×D5313yes—
1879C42C23×D5313yes—
1880C42C23×D5311yescharacteristic
1881C42C23×D5313yes—
1882C42C23×D5313yes—
1883C23—533no—
1884C23—533no—
1885C23—533no—
1886C23—533no—
1887C23—1066no—
1888C23—10612no—
1889C23—10612no—
1890C23—2126no—
1891C23—2126no—
1892C23—2126no—
1893C23—2126no—
1894C23—2123no—
1895C23—2123no—
1896C23C24×D5311yescharacteristic
1897C23C24×D5313yes—
1898C23C24×D5313yes—
1899Q8—26no—
1900Q8—43no—
1901Q8—1062no—
1902Q8—1062no—
1903Q8—2123no—
1904Q8—2123no—
1905Q8—2123no—
1906Q8#41×D5314yes—
1907D4—26no—
1908D4—26no—
1909D4—43no—
1910D4—43no—
1911D4—43no—
1912D4—46no—
1913D4—5312no—
1914D4—1066no—
1915D4—1066no—
1916D4—10612no—
1917D4—1066no—
1918D4—1066no—
1919D4—1066no—
1920D4—1066no—
1921D4—1066no—
1922D4—1066no—
1923D4—1066no—
1924D4—2123no—
1925D4—2126no—
1926D4—2126no—
1927D4—2126no—
1928D4—2123no—
1929D4—2123no—
1930D4—2123no—
1931D4—2123no—
1932D4—2123no—
1933D4—2123no—
1934D4—2126no—
1935D4—2126no—
1936D4—2126no—
1937D4—2126no—
1938D4—2123no—
1939D4—2123no—
1940C2×C4—26no—
1941C2×C4—26no—
1942C2×C4—26no—
1943C2×C4—43no—
1944C2×C4—46no—
1945C2×C4—43no—
1946C2×C4—531no—
1947C2×C4—5312no—
1948C2×C4—531no—
1949C2×C4—533no—
1950C2×C4—531no—
1951C2×C4—531no—
1952C2×C4—531no—
1953C2×C4—531no—
1954C2×C4—533no—
1955C2×C4—531no—
1956C2×C4—533no—
1957C2×C4—533no—
1958C2×C4—531no—
1959C2×C4—1066no—
1960C2×C4—1066no—
1961C2×C4—1062no—
1962C2×C4—1066no—
1963C2×C4—1066no—
1964C2×C4—1066no—
1965C2×C4—2123no—
1966C2×C4—2123no—
1967C2×C4—2123no—
1968C2×C4—2123no—
1969C2×C4—2126no—
1970C2×C4—2126no—
1971C2×C4—2126no—
1972C2×C4—2126no—
1973C2×C4—2123no—
1974C2×C4—2123no—
1975C2×C4—2126no—
1976C2×C4—2123no—
1977C2×C4—2126no—
1978C2×C4—2123no—
1979C2×C4—2123no—
1980C2×C4—2126no—
1981C2×C4—2123no—
1982C2×C4C24×D5311yescharacteristic
1983C2×C4C24×D5311yescharacteristic
1984C2×C4C24×D5313yes—
1985C2×C4C24×D5313yes—
1986C2×C4C24×D5313yes—
1987C2×C4C24×D5311yescharacteristic
1988C2×C4C24×D5311yescharacteristic
1989C2×C4C24×D5313yes—
1990C2×C4C24×D5311yescharacteristic
1991C2×C4C24×D5311yescharacteristic
1992C2×C4C24×D5313yes—
1993C2×C4C24×D5313yes—
1994C22—21no—
1995C22—23no—
1996C22—23no—
1997C22—23no—
1998C22—23no—
1999C22—23no—
2000C22—23no—
2001C22—21no—
2002C22—21no—
2003C22—536no—
2004C22—1063no—
2005C22—1063no—
2006C22—1063no—
2007C22—1063no—
2008C22—1063no—
2009C22—1063no—
2010C22—1063no—
2011C22—1063no—
2012C22—1063no—
2013C22—1063no—
2014C22—1063no—
2015C22—4246no—
2016C22—42412no—
2017C22—42412no—
2018C22C25×D5311yescharacteristic
2019C4—21no—
2020C4—21no—
2021C4—23no—
2022C4—21no—
2023C4—23no—
2024C4—21no—
2025C4—23no—
2026C4—23no—
2027C4—21no—
2028C4—23no—
2029C4—21no—
2030C4—532no—
2031C4—1061no—
2032C4—1061no—
2033C4—1061no—
2034C4—1061no—
2035C4—1063no—
2036C4—1063no—
2037C4—1063no—
2038C4—1061no—
2039C4—1063no—
2040C4—1061no—
2041C4—1061no—
2042C4C2×#41×D5316yes—
2043C2—41no—
2044C2—43no—
2045C2—43no—
2046C2—1066no—
2047C2—2123no—
2048C2—2123no—
2049C2—2123no—
2050C2C22×#41×D5311yescharacteristic
2051C2#2028952611yescharacteristic
2052C2#2028952611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3524C2
hypercenter#3524D53
hypocenterC53#62858
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #20288826C2semidirect
2. #20288825C2semidirect
3. #20288817C2semidirect
4. #20288750C2semidirect
5. #20288749C2semidirect
6. #20288745C2semidirect
7. #20288743C2semidirect
8. #20288722C2semidirect
9. #20288721C2semidirect
10. #20288715C2semidirect
11. #20288712C2semidirect
12. #20288661C2semidirect
13. #20288660C2semidirect
14. #20288654C2semidirect
15. #20288649C2semidirect
16. #20288629C2semidirect
17. #20288588C2semidirect
18. #20288540C2semidirect
19. #20288492C2semidirect
20. #20288449C2semidirect
21. #20288443C2semidirect
22. #20288381C2semidirect
23. #20288381C2semidirect
24. #20288136C2semidirect
25. #20288135C2semidirect
26. #20288098C2semidirect
27. #540×D53C2semidirect
28. C4×#13133263C2semidirect
29. #20287921C2semidirect
30. #20287917C2semidirect
31. C53×#3524C2semidirect
35. #16811358C22semidirect
36. #16811355C22semidirect
37. #16811355C22semidirect
38. #16811352C22semidirect
39. #16811349C22semidirect
40. #16811349C22semidirect
41. #16811338C22semidirect
42. #16811337C22semidirect
43. #16811336C22semidirect
44. #16811334C22semidirect
45. #16811333C22semidirect
46. #16811329C22semidirect
47. #16811329C22semidirect
48. #16811326C22semidirect
49. #16811326C22semidirect
50. #16811326C22semidirect
51. #16811324C22semidirect
52. #16811323C22semidirect
53. #16811321C22semidirect
54. #16811320C22semidirect
55. #16811320C22semidirect
56. #16811319C22semidirect
57. #16811319C22semidirect
58. #16811318C22semidirect
59. #16811317C22semidirect
60. #16811317C22semidirect
61. #16811317C22semidirect
62. #16811317C22semidirect
63. #16811315C22semidirect
64. #16811314C22semidirect
65. #16811307C22semidirect
66. #16811303C22semidirect
67. #16811302C22semidirect
68. #16811298C22semidirect
69. #16811297C22semidirect
70. #16811295C22semidirect
71. #16811295C22semidirect
72. #16811295C22semidirect
73. #16811295C22semidirect
74. #16811294C22semidirect
75. #16811294C22semidirect
76. #16811293C22semidirect
77. #16811292C22semidirect
78. #16811292C22semidirect
79. #16811292C22semidirect
80. #16811292C22semidirect
81. #16811284C22semidirect
82. #16811284C22semidirect
83. #16811278C22semidirect
84. #16811276C22semidirect
85. #16811274C22semidirect
86. #16811273C22semidirect
87. #16811270C22semidirect
88. #16811268C22semidirect
89. #16811266C22semidirect
90. #16811266C22semidirect
91. #16811266C22semidirect
92. #16811266C22semidirect
93. #16811265C22semidirect
94. #16811265C22semidirect
95. #16811265C22semidirect
96. #16811264C22semidirect
97. #16811264C22semidirect
98. #16811262C22semidirect
99. D4×D212C22semidirect
100. D4×D212C22semidirect
101. D4×D212C22semidirect
102. #16811258C22semidirect
103. #16811257C22semidirect
104. #16811257C22semidirect
105. #16811257C22semidirect
106. #16811257C22semidirect
107. #16811253C22semidirect
108. #16811250C22semidirect
109. #16811246C22semidirect
110. #16811245C22semidirect
111. #16811243C22semidirect
112. #16811242C22semidirect
113. #16811241C22semidirect
114. #16811239C22semidirect
115. #16811237C22semidirect
116. #16811232C22semidirect
117. #16811230C22semidirect
118. #16811229C22semidirect
119. #16811229C22semidirect
120. #16811228C22semidirect
121. #16811228C22semidirect
122. #16811227C22semidirect
123. #16811226C22semidirect
124. #16811226C22semidirect
125. #16811226C22semidirect
126. #16811225C22semidirect
127. #16811225C22semidirect
128. #16811225C22semidirect
129. #16811224C22semidirect
130. #16811224C22semidirect
131. #16811224C22semidirect
132. #16811223C22semidirect
133. #16811223C22semidirect
134. #16811221C22semidirect
135. #16811219C22semidirect
136. #16811216C22semidirect
137. #16811214C22semidirect
138. #16811212C22semidirect
139. #16811212C22semidirect
140. #16811212C22semidirect
141. #16811209C22semidirect
142. #16811209C22semidirect
143. #16811207C22semidirect
144. #16811207C22semidirect
145. #16811205C22semidirect
146. #16811203C22semidirect
147. #16811203C22semidirect
148. #16811191C22semidirect
149. #16811191C22semidirect
150. #16811189C22semidirect
151. #16811189C22semidirect
152. #16811177C22semidirect
153. #16811174C22semidirect
154. #16811173C22semidirect
155. #16811172C22semidirect
156. #16811170C22semidirect
157. #16811170C22semidirect
158. #16811170C22semidirect
159. #16811168C22semidirect
160. #127×D53C22semidirect
161. #16811160C22semidirect
162. #16811160C22semidirect
163. #16811159C22semidirect
164. #16811157C22semidirect
165. #16811156C22semidirect
166. #16811155C22semidirect
167. #16811153C22semidirect
168. #16811153C22semidirect
169. #16811152C22semidirect
170. #16811151C22semidirect
171. #16811151C22semidirect
172. #16811151C22semidirect
173. #125×D53C22semidirect
174. #16811136C22semidirect
175. #16811135C22semidirect
176. #16811132C22semidirect
177. #16811132C22semidirect
178. #16811132C22semidirect
179. #16811131C22semidirect
180. #123×D53C22semidirect
181. #123×D53C22semidirect
182. #121×D53C22semidirect
183. #121×D53C22semidirect
184. #121×D53C22semidirect
185. #121×D53C22semidirect
186. #16811106C22semidirect
189. #16811105C22semidirect
190. #16811105C22semidirect
191. #16811105C22semidirect
192. #16811105C22semidirect
193. #16811105C22semidirect
194. #16811105C22semidirect
195. #16811104C22semidirect
196. #16811103C22semidirect
197. #16811101C22semidirect
198. #16811097C22semidirect
199. #16811097C22semidirect
200. #16811097C22semidirect
201. #16811097C22semidirect
202. #16811095C22semidirect
203. #16811095C22semidirect
204. #16811095C22semidirect
205. #16811095C22semidirect
206. #41×Dic53C22semidirect
209. C4×#11719949C22semidirect
210. C4×#11719949C22semidirect
211. C4×#11719949C22semidirect
212. C4×#11719949C22semidirect
213. C4×#11719945C22semidirect
214. #16811091C22semidirect
215. C2×C4×D212C22semidirect
216. C2×#13133179C22semidirect
217. C4×D4×D53C22semidirect
218. C4×D4×D53C22semidirect
219. C4×D4×D53C22semidirect
220. C4×D4×D53C22semidirect
221. #117×D53C22semidirect
222. #117×D53C22semidirect
223. C53×#559C22semidirect
224. C53×#557C22semidirect
225. C53×#555C22semidirect
226. C53×#553C22semidirect
227. C53×#552C22semidirect
228. C53×#550C22semidirect
229. C53×#548C22semidirect
230. C53×#548C22semidirect
231. C53×#542C22semidirect
232. C53×#540C22semidirect
233. C53×#529C22semidirect
234. C53×#529C22semidirect
235. C53×#520C22semidirect
236. C53×#519C22semidirect
237. C4×#41×C53C22semidirect
666. #11719949#41semidirect
1020. #3524D53semidirect
1064. #559C2×D53semidirect
1068. #557C2×D53semidirect
1072. #555C2×D53semidirect
1092. #553C2×D53semidirect
1096. #552C2×D53semidirect
1112. #550C2×D53semidirect
1115. #548C2×D53semidirect
1116. #548C2×D53semidirect
1150. #542C2×D53semidirect
1169. #540C2×D53semidirect
1209. #529C2×D53semidirect
1210. #529C2×D53semidirect
1235. #520C2×D53semidirect
1237. #519C2×D53semidirect
1255. C4×#41C2×D53semidirect
1264. C53#62858semidirect

Maximal subgroups

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

subgroupindex
#202888262
#202888252
#202888172
#202887502
#202887492
#202887452
#202887432
#202887222
#202887212
#202887152
#202887122
#202886612
#202886602
#202886542
#202886492
#202886292
#202885882
#202885402
#202884922
#202884492
#202884432
#202883812
#202881362
#202881352
#202880982
#540×D532
C4×#131332632
#202879212
#202879172
C53×#35242
#6285853