Finite Group Databasebeta

← #28292961

Subgroups — #28292961

Order 13568.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289367C214yesmaximal, complemented
2#20289336C214yesmaximal, complemented
3#20289222C214yesmaximal, complemented
4#20289204C212yesmaximal, complemented
5#20289189C212yesmaximal, complemented
6#20289161C212yesmaximal, complemented
7#20289060C212yesmaximal, complemented
8#20288925C214yesmaximal, complemented
9#20288808C212yesmaximal, complemented
10#20288801C212yesmaximal, complemented
11#20288759C214yesmaximal, complemented
12#20288733C212yesmaximal, complemented
13#20288692C214yesmaximal, complemented
14#20288692C212yesmaximal, complemented
15#20288612C212yesmaximal, complemented
16#20288581C214yesmaximal, complemented
17#20288580C211yesmaximal, characteristic, complemented
18#20288569C211yesmaximal, characteristic, complemented
19#20288538C212yesmaximal, complemented
20#20288516C211yesmaximal, characteristic, complemented
21#20288462C214yesmaximal, complemented
22#20288457C212yesmaximal, complemented
23#20288453C212yesmaximal, complemented
24#20288012C211yesmaximal, characteristic, complemented
25#533×D53C211yesmaximal, characteristic, complemented
26C2×#16811160C211yesmaximal, characteristic, complemented
27C53×#3502C211yesmaximal, characteristic, complemented
28#16811377C2218yescomplemented
29#16811372C2218yescomplemented
30#16811372C2218yescomplemented
31#16811371C2218yescomplemented
32#16811358C2212yescomplemented
33#16811358C2214yescomplemented
34#16811358C2214yescomplemented
35#16811358C2214yescomplemented
36#16811351C2212yescomplemented
37#16811350C2214yescomplemented
38#16811348C2214yescomplemented
39#16811347C2218yescomplemented
40#16811347C2214yescomplemented
41#16811346C2212yescomplemented
42#16811346C2212yescomplemented
43#16811346C2214yescomplemented
44#16811345C2214yescomplemented
45#16811345C2214yescomplemented
46#16811345C2218yescomplemented
47#16811345C2214yescomplemented
48#16811339C2214yes—
49#16811339C2212yescomplemented
50#16811334C2212yescomplemented
51#16811334C2214yescomplemented
52#16811333C2212yescomplemented
53#16811333C2214yescomplemented
54#16811333C2212yescomplemented
55#16811333C2214yescomplemented
56#16811331C2218yes—
57#16811329C2214yescomplemented
58#16811329C2214yescomplemented
59#16811327C2218yes—
60#16811326C2214yes—
61#16811326C2214yes—
62#16811326C2214yescomplemented
63#16811314C2214yescomplemented
64#16811314C2214yescomplemented
65#16811314C2214yescomplemented
66#16811314C2214yescomplemented
67#16811314C2214yescomplemented
68#16811314C2218yescomplemented
69#16811306C2218yes—
70#16811305C2218yescomplemented
71#16811305C2218yescomplemented
72#16811305C2218yescomplemented
73#16811305C2218yescomplemented
74#16811300C2218yes—
75#16811297C2218yes—
76#16811297C2218yes—
77#16811297C2218yes—
78#16811295C2212yescomplemented
79Q8×D212C2212yescomplemented
80#16811288C2212yescomplemented
81#16811288C2214yescomplemented
82#16811285C2214yescomplemented
83#16811285C2214yescomplemented
84#16811276C2214yes—
85#16811276C2214yescomplemented
86#16811276C2218yescomplemented
87#16811276C2212yescomplemented
88#16811276C2214yescomplemented
89#16811264C2218yes—
90#16811253C2214yescomplemented
91#16811251C2212yes—
92#16811250C2214yescomplemented
93#16811250C2214yescomplemented
94#16811248C2214yes—
95#16811247C2214yes—
96#16811247C2218yescomplemented
97#16811247C2214yescomplemented
98#16811247C2218yescomplemented
99#16811245C2214yescomplemented
100#16811245C2214yescomplemented
101#16811245C2214yescomplemented
102#16811245C2218yescomplemented
103#16811245C2214yescomplemented
104#16811234C2214yescomplemented
105#16811234C2218yescomplemented
106#16811232C2218yescomplemented
107#16811231C2214yescomplemented
108#16811231C2214yescomplemented
109#16811229C2214yes—
110#16811221C2218yescomplemented
111#16811221C2218yescomplemented
112#16811221C2218yescomplemented
113#16811221C2218yescomplemented
114#16811221C2218yescomplemented
115#16811220C2214yes—
116#16811213C2214yes—
117#16811198C2218yescomplemented
118#16811198C2214yescomplemented
119#16811197C2212yes—
120#16811192C2212yes—
121#16811180C2211yescharacteristic
122#16811179C2212yescomplemented
123#16811178C2211yescharacteristic, complemented
124#16811178C2211yescharacteristic, complemented
125#16811178C2211yescharacteristic, complemented
126#16811178C2211yescharacteristic, complemented
127#16811178C2214yescomplemented
128#16811177C2212yescomplemented
129#16811177C2212yescomplemented
130#16811177C2214yescomplemented
131#16811176C2212yes—
132#16811175C2212yes—
133#16811175C2212yes—
134#16811174C2214yes—
135#16811174C2211yescharacteristic, complemented
136#16811174C2211yescharacteristic, complemented
137#16811173C2211yescharacteristic
138C4⋊Q8×D53C2211yescharacteristic, complemented
139C4⋊Q8×D53C2211yescharacteristic, complemented
140#16811160C2212yes—
141#16811160C2212yes—
142#16811160C2212yes—
143#16811160C2212yes—
144#16811160C2212yes—
145#16811160C2212yes—
146#16811160C2212yes—
147#16811160C2212yes—
148#16811160C2212yescomplemented
149#16811160C2212yescomplemented
150#16811160C2214yescomplemented
151#16811160C2214yescomplemented
152#16811160C2214yescomplemented
153#16811159C2212yes—
154#16811159C2212yes—
155#16811158C2214yes—
156#16811158C2212yescomplemented
157#16811158C2212yescomplemented
158#16811157C2214yes—
159C2×#13133212C2212yes—
160C2×#13133208C2211yescharacteristic
161#125×D53C2212yescomplemented
162#125×D53C2214yescomplemented
163C2×#13133206C2211yescharacteristic
164#16811136C2212yes—
165#16811136C2212yes—
166#16811136C2214yes—
167#16811135C2212yes—
168C2×#13133202C2212yes—
169C2×#13133193C2211yescharacteristic
170C22⋊Q8×D53C2212yes—
171C22⋊Q8×D53C2212yes—
172C22⋊Q8×D53C2214yes—
173C2×#13133192C2211yescharacteristic
174#16811105C2214yescomplemented
175#16811105C2218yescomplemented
176#16811104C2212yes—
177#16811103C2212yes—
178#16811099C2214yescomplemented
179#16811097C2212yes—
180C4×#11719949C2212yescomplemented
181C4×#11719949C2212yescomplemented
182#16811091C2212yes—
183C4×Q8×D53C2212yescomplemented
184C4×Q8×D53C2212yescomplemented
185C2×C4×D212C2211yescharacteristic
186C2×C4×D212C2212yes—
187C2×#13133174C2212yes—
188#117×D53C2212yes—
189C2×C42×D53C2211yescharacteristic
190Q82×C53C2212yescomplemented
191Q82×C53C2212yescomplemented
192C53×#557C2212yescomplemented
193C53×#557C2214yescomplemented
194C53×#557C2214yescomplemented
195C53×#557C2212yescomplemented
196C53×#544C2212yes—
197C53×#544C2214yes—
198C53×#533C2211yescharacteristic
199C53×#533C2211yescharacteristic
200C53×#533C2214yes—
201C53×#519C2212yes—
202C2×C4×Q8×C53C2211yescharacteristic
203C2×#11719949C2318yes—
204C2×#11719949C2312yes—
205C2×#11719949C2312yes—
206C2×#11719949C2314yes—
207C2×#11719945C2312yes—
208C2×Q8×D53C2312yes—
209C2×Q8×D53C2314yes—
210C2×Q8×D53C2312yes—
211C22×D212C2311yescharacteristic
212C22×D212C2312yes—
213C22×C4×D53C2311yescharacteristic
214C22×C4×D53C2311yescharacteristic
215C22×C4×D53C2311yescharacteristic
216C22×C4×D53C2312yes—
217#13133217C2311yescharacteristic
218#13133217C2314yes—
219#13133217C2311yescharacteristic
220#13133217C2311yescharacteristic
221#13133216C2314yes—
222#13133216C2318yes—
223#13133216C2312yes—
224#13133216C2312yes—
225#13133216C2312yes—
226#13133216C2312yes—
227#13133215C2318yes—
228#13133215C2314yes—
229#13133215C2312yes—
230#13133215C2312yes—
231#13133214C2311yescharacteristic
232#13133214C2314yes—
233#13133212C2318yes—
234#13133212C2318yes—
235#13133212C2318yes—
236#13133212C2318yes—
237#13133212C2318yes—
238#13133212C2314yes—
239#13133212C2314yes—
240#13133212C2318yes—
241#13133212C2318yes—
242#13133212C2318yes—
243#13133212C2314yes—
244#13133212C2314yes—
245#13133212C2314yes—
246#13133212C2314yes—
247#13133211C2318yes—
248#13133211C2318yes—
249#13133211C2318yes—
250#13133211C2318yes—
251#13133211C2318yes—
252#13133209C2318yes—
253#13133209C2312yes—
254#13133209C2314yes—
255#13133209C2314yes—
256#13133208C2312yes—
257#13133208C2314yes—
258#13133208C2312yes—
259#13133208C2312yes—
260#13133208C2312yes—
261#13133208C2312yes—
262#13133208C2312yes—
263#13133208C2312yes—
264#13133208C2312yes—
265#13133207C2318yes—
266#13133207C2314yes—
267#13133207C2318yes—
268#13133207C2318yes—
269#13133207C2318yes—
270#13133207C2318yes—
271#13133207C2318yes—
272#13133207C2318yes—
273#13133207C2314yes—
274#13133206C2318yes—
275#13133206C2318yes—
276#13133206C2318yes—
277#13133206C2312yes—
278#13133206C2312yes—
279#13133206C2314yes—
280#13133206C2312yes—
281#13133206C2312yes—
282#13133206C2312yes—
283#13133206C2312yes—
284#13133205C2314yes—
285#13133205C2318yes—
286#13133205C2318yes—
287#13133205C2318yes—
288#13133205C2314yes—
289#13133205C2312yes—
290#13133202C2318yes—
291#13133202C2318yes—
292#13133202C2318yes—
293#13133202C2318yes—
294#13133202C2314yes—
295#13133202C2318yes—
296#13133202C2318yes—
297#13133202C2318yes—
298#13133202C2318yes—
299#13133202C2318yes—
300#13133202C2318yes—
301#13133202C2318yes—
302#13133202C2318yes—
303#13133202C2318yes—
304#13133202C2314yes—
305#13133202C2314yes—
306#13133202C2314yes—
307#13133202C2314yes—
308#13133202C2314yes—
309#13133201C2314yes—
310#13133200C2318yes—
311#13133197C2312yes—
312#13133197C2314yes—
313#13133197C2318yes—
314#13133197C2318yes—
315#13133197C2318yes—
316#13133197C2312yes—
317#13133197C2312yes—
318#13133197C2312yes—
319#13133196C2312yes—
320#13133196C2312yes—
321#13133195C2318yes—
322#13133195C2318yes—
323#13133195C2318yes—
324#13133195C2318yes—
325#13133195C2318yes—
326#13133195C2318yes—
327#13133195C2318yes—
328#13133195C2318yes—
329#13133195C2318yes—
330#13133195C2318yes—
331#13133195C2314yes—
332#13133195C2314yes—
333#13133194C2314yes—
334#13133194C2314yes—
335#13133194C2318yes—
336#13133193C2318yes—
337#13133193C2312yes—
338#13133193C2314yes—
339#13133193C2314yes—
340#13133193C2318yes—
341#13133193C2318yes—
342#13133193C2318yes—
343#13133193C2312yes—
344#13133193C2314yes—
345#13133193C2312yes—
346#13133193C2312yes—
347#13133193C2314yes—
348#13133193C2312yes—
349#13133193C2312yes—
350#13133193C2312yes—
351#13133193C2312yes—
352#13133192C2318yes—
353#13133192C2318yes—
354#13133192C2318yes—
355#13133192C2312yes—
356#13133192C2314yes—
357#13133192C2312yes—
358#13133192C2314yes—
359#13133192C2318yes—
360#13133192C2314yes—
361#13133192C2312yes—
362#13133192C2312yes—
363#13133192C2312yes—
364#13133192C2312yes—
365#13133192C2312yes—
366#13133192C2312yes—
367#13133191C2312yes—
368#13133191C2312yes—
369#13133187C2314yes—
370#13133187C2318yes—
371Q8×Dic53C2318yes—
372Q8×Dic53C2312yes—
373Q8×Dic53C2312yes—
374Q8×Dic53C2312yes—
375Q8×Dic53C2312yes—
376C4×Dic106C2312yes—
377C4×Dic106C2314yes—
378C4×Dic106C2318yes—
379C4×Dic106C2312yes—
380C4×Dic106C2314yes—
381C4×Dic106C2314yes—
382C4×Dic106C2314yes—
383#13133182C2312yes—
384#13133182C2318yes—
385#13133182C2314yes—
386#13133182C2312yes—
387#13133182C2314yes—
388#13133182C2312yes—
389#13133182C2312yes—
390#13133182C2314yes—
391C4×D212C2314yes—
392C4×D212C2314yes—
393C4×D212C2314yes—
394C4×D212C2314yes—
395C4×D212C2318yes—
396C4×D212C2314yes—
397C4×D212C2312yes—
398C4×D212C2318yes—
399C4×D212C2312yes—
400C4×D212C2318yes—
401C4×D212C2312yes—
402C4×D212C2314yes—
403C4×D212C2314yes—
404C4×D212C2312yes—
405C4×D212C2314yes—
406C4×D212C2312yes—
407C4×D212C2312yes—
408C4×D212C2314yes—
409C4×D212C2314yes—
410#13133179C2318yes—
411#13133179C2314yes—
412#13133179C2318yes—
413#13133179C2318yes—
414#13133179C2312yes—
415#13133179C2314yes—
416#13133179C2314yes—
417#13133179C2312yes—
418#13133179C2314yes—
419#13133179C2312yes—
420#13133179C2314yes—
421#13133179C2312yes—
422C4×C22⋊D53C2318yes—
423#13133177C2314yes—
424#13133177C2314yes—
425#13133177C2318yes—
426#13133176C2312yes—
427#13133175C2318yes—
428#13133175C2312yes—
429#13133175C2314yes—
430#13133175C2314yes—
431#13133175C2312yes—
432#13133175C2312yes—
433#13133175C2314yes—
434#13133175C2314yes—
435#13133175C2314yes—
436#13133175C2312yes—
437#13133174C2318yes—
438#13133174C2318yes—
439#13133174C2318yes—
440#13133174C2314yes—
441#13133174C2318yes—
442#13133174C2314yes—
443#13133174C2318yes—
444#13133174C2314yes—
445#13133174C2314yes—
446#13133174C2314yes—
447#13133174C2314yes—
448#13133173C2314yes—
449C2×C4⋊Dic53C2312yes—
450C2×C4⋊Dic53C2311yescharacteristic
451C2×#11719919C2312yes—
452C2×#11719919C2312yes—
453C4⋊C4×D53C2312yes—
454C4⋊C4×D53C2314yes—
455C4⋊C4×D53C2314yes—
456C4⋊C4×D53C2312yes—
457C4⋊C4×D53C2318yes—
458C4⋊C4×D53C2318yes—
459C4⋊C4×D53C2314yes—
460C4⋊C4×D53C2314yes—
461C4⋊C4×D53C2318yes—
462C4⋊C4×D53C2312yes—
463C4⋊C4×D53C2314yes—
464C4⋊C4×D53C2312yes—
465C2×#11719921C2312yes—
466C2×#11719921C2312yes—
467C2×#11719921C2312yes—
468C2×#11719921C2312yes—
469C2×#11719921C2312yes—
470C22⋊C4×D53C2314yes—
471C22⋊C4×D53C2318yes—
472C2×C4×Dic53C2311yescharacteristic
473C2×C4×Dic53C2311yescharacteristic
474C2×C4×Dic53C2311yescharacteristic
475C42×D53C2311yescharacteristic
476C42×D53C2311yescharacteristic
477C42×D53C2311yescharacteristic
478C42×D53C2311yescharacteristic
479C42×D53C2311yescharacteristic
480C42×D53C2311yescharacteristic
481C42×D53C2311yescharacteristic
482C42×D53C2311yescharacteristic
483C42×D53C2314yes—
484C42×D53C2314yes—
485C22×Q8×C53C2311yescharacteristic
486C4⋊Q8×C53C2314yes—
487C4⋊Q8×C53C2311yescharacteristic
488C4⋊Q8×C53C2314yes—
489C4⋊Q8×C53C2314yes—
490C4⋊Q8×C53C2318yes—
491C4⋊Q8×C53C2311yescharacteristic
492C4⋊Q8×C53C2311yescharacteristic
493C4⋊Q8×C53C2311yescharacteristic
494C4⋊Q8×C53C2314yes—
495C4⋊Q8×C53C2318yes—
496#125×C53C2318yes—
497#125×C53C2318yes—
498#125×C53C2318yes—
499#125×C53C2312yes—
500#125×C53C2312yes—
501#125×C53C2314yes—
502#125×C53C2314yes—
503C22⋊Q8×C53C2318yes—
504C22⋊Q8×C53C2312yes—
505C22⋊Q8×C53C2312yes—
506C22⋊Q8×C53C2312yes—
507C22⋊Q8×C53C2312yes—
508C4×Q8×C53C2314yes—
509C4×Q8×C53C2314yes—
510C4×Q8×C53C2312yes—
511C4×Q8×C53C2312yes—
512C4×Q8×C53C2312yes—
513C4×Q8×C53C2312yes—
514C4×Q8×C53C2312yes—
515C4×Q8×C53C2312yes—
516C4×Q8×C53C2314yes—
517C4×Q8×C53C2314yes—
518C4×Q8×C53C2314yes—
519C4×Q8×C53C2314yes—
520C4×Q8×C53C2318yes—
521C4×Q8×C53C2312yes—
522C4×Q8×C53C2312yes—
523#117×C53C2318yes—
524#117×C53C2312yes—
525#117×C53C2312yes—
526C2×C4⋊C4×C53C2311yescharacteristic
527C2×C4⋊C4×C53C2312yes—
528C2×C42×C53C2311yescharacteristic
529C2×C42×C53C2312yes—
530C23×D53C2411yescharacteristic
531C23×D53C2412yes—
532C2×Q8×C53—24no—
533C2×Q8×C53C2412yes—
534C2×Q8×C53C2412yes—
535C2×Q8×C53C2412yes—
536C2×Q8×C53C2412yes—
537C2×Q8×C53C2412yes—
538C2×Q8×C53C2418yes—
539C2×Q8×C53C2412yes—
540C22×C4×C53C2411yescharacteristic
541C22×C4×C53C2412yes—
542C22×C4×C53C2411yescharacteristic
543C22×C4×C53C2412yes—
544C22×C4×C53C2411yescharacteristic
545C2×C22⋊D53C2414yes—
546C22×Dic53C2411yescharacteristic
547C22×Dic53C2411yescharacteristic
548C22×Dic53C2411yescharacteristic
549C22×Dic53C2412yes—
550#11719949—44no—
551#11719949—416no—
552#11719949—48no—
553#11719949—44no—
554Q8×D53—44no—
555Q8×D53—48no—
556Q8×D53—44no—
557#11719945—28no—
558C2×D212—24no—
559C2×D212—44no—
560C2×D212C2412yes—
561C2×D212C2412yes—
562C2×D212C2414yes—
563C2×D212C2414yes—
564C2×D212C2412yes—
565C2×D212C2412yes—
566C2×D212C2414yes—
567C2×D212C2418yes—
568C2×D212C2418yes—
569C2×D212C2412yes—
570C2×D212C2414yes—
571C2×C4×D53—24no—
572C2×C4×D53—42no—
573C2×C4×D53—44no—
574C2×C4×D53—42no—
575C2×C4×D53C2411yescharacteristic
576C2×C4×D53C2411yescharacteristic
577C2×C4×D53C2411yescharacteristic
578C2×C4×D53C2411yescharacteristic
579C2×C4×D53C2411yescharacteristic
580C2×C4×D53C2411yescharacteristic
581C2×C4×D53C2411yescharacteristic
582C2×C4×D53C2411yescharacteristic
583C2×C4×D53C2414yes—
584C2×C4×D53C2414yes—
585C2×C4×D53C2414yes—
586C2×C4×D53C2411yescharacteristic
587C2×C4×D53C2411yescharacteristic
588C2×C4×D53C2411yescharacteristic
589C2×C4×D53C2411yescharacteristic
590C2×C4×D53C2414yes—
591C2×C4×D53C2414yes—
592C2×C4×D53C2414yes—
593C2×C4×D53C2418yes—
594C2×C4×D53C2418yes—
595C2×C4×D53C2418yes—
596C2×C4×D53C2418yes—
597C2×C4×D53C2414yes—
598C2×Dic106C2412yes—
599C2×Dic106C2412yes—
600C2×Dic106C2418yes—
601C2×Dic106C2414yes—
602C2×Dic106C2414yes—
603C2×Dic106C2412yes—
604C4⋊C4×C53C2412yes—
605C4⋊C4×C53C2412yes—
606C4⋊C4×C53C2414yes—
607C4⋊C4×C53C2414yes—
608C4⋊C4×C53C2412yes—
609C4⋊C4×C53C2412yes—
610C4⋊C4×C53C2418yes—
611C4⋊C4×C53C2412yes—
612C4⋊C4×C53C2412yes—
613C4⋊C4×C53C2418yes—
614C4⋊C4×C53C2414yes—
615C4⋊C4×C53C2414yes—
616C4⋊C4×C53C2412yes—
617C4⋊C4×C53C2412yes—
618C4⋊C4×C53C2418yes—
619C4⋊C4×C53C2412yes—
620C4⋊C4×C53C2412yes—
621C4⋊C4×C53C2418yes—
622C4⋊C4×C53C2414yes—
623C4⋊C4×C53C2414yes—
624C4⋊C4×C53C2418yes—
625C22⋊C4×C53C2414yes—
626C22⋊C4×C53C2414yes—
627C42×C53C2411yescharacteristic
628C42×C53C2411yescharacteristic
629C42×C53C2414yes—
630C42×C53C2411yescharacteristic
631C42×C53C2411yescharacteristic
632C42×C53C2414yes—
633C42×C53C2414yes—
634C42×C53C2414yes—
635C42×C53C2418yes—
636C42×C53C2418yes—
637C22⋊Dic53C2414yes—
638#11719921C2414yes—
639#11719921C2414yes—
640#11719921C2418yes—
641#11719921C2418yes—
642#11719921C2414yes—
643#11719921C2414yes—
644#11719921C2414yes—
645#11719921C2414yes—
646#11719921C2414yes—
647#11719921C2414yes—
648#11719921C2414yes—
649#11719921C2414yes—
650#11719921C2414yes—
651#11719921C2414yes—
652#11719921C2414yes—
653#11719921C2414yes—
654#11719921C2414yes—
655#11719921C2418yes—
656#11719921C2414yes—
657#11719921C2414yes—
658#11719921C2418yes—
659#11719921C2418yes—
660#11719921C2418yes—
661#11719921C2418yes—
662#11719921C2418yes—
663#11719921C2414yes—
664#11719921C2414yes—
665#11719921C2414yes—
666C4⋊Dic53C2412yes—
667C4⋊Dic53C2412yes—
668C4⋊Dic53C2414yes—
669C4⋊Dic53C2412yes—
670C4⋊Dic53C2414yes—
671C4⋊Dic53C2412yes—
672C4⋊Dic53C2414yes—
673C4⋊Dic53C2418yes—
674C4⋊Dic53C2412yes—
675C4⋊Dic53C2412yes—
676C4⋊Dic53C2414yes—
677C4⋊Dic53C2412yes—
678C4⋊Dic53C2414yes—
679C4⋊Dic53C2412yes—
680C4⋊Dic53C2414yes—
681#11719919C2414yes—
682#11719919C2414yes—
683#11719919C2414yes—
684#11719919C2418yes—
685#11719919C2418yes—
686#11719919C2414yes—
687#11719919C2414yes—
688#11719919C2414yes—
689#11719919C2418yes—
690#11719919C2418yes—
691#11719919C2414yes—
692#11719919C2414yes—
693#11719919C2414yes—
694#11719919C2414yes—
695#11719919C2414yes—
696#11719919C2414yes—
697#11719919C2418yes—
698#11719919C2414yes—
699#11719919C2414yes—
700#11719919C2418yes—
701C4×Dic53C2411yescharacteristic
702C4×Dic53C2411yescharacteristic
703C4×Dic53C2411yescharacteristic
704C4×Dic53C2411yescharacteristic
705C4×Dic53C2411yescharacteristic
706C4×Dic53C2411yescharacteristic
707C4×Dic53C2411yescharacteristic
708C4×Dic53C2411yescharacteristic
709C4×Dic53C2411yescharacteristic
710C4×Dic53C2411yescharacteristic
711C4×Dic53C2411yescharacteristic
712C4×Dic53C2411yescharacteristic
713C4×Dic53C2414yes—
714C4×Dic53C2414yes—
715C4×Dic53C2414yes—
716C4×Dic53C2414yes—
717C4×Dic53C2414yes—
718C4×Dic53C2418yes—
719C4×Dic53C2418yes—
720C23×C53C2511yescharacteristic
721C22×D53—22no—
722C22×D53—24no—
723C22×D53—22no—
724C22×D53—41no—
725C22×D53—42no—
726C22×D53—42no—
727C22×D53C2514yes—
728C22×D53C2511yescharacteristic
729C22×D53C2514yes—
730C22×D53C2511yescharacteristic
731Q8×C53—24no—
732Q8×C53—24no—
733Q8×C53—24no—
734Q8×C53—24no—
735Q8×C53—42no—
736Q8×C53—48no—
737Q8×C53—42no—
738C2×C4×C53—24no—
739C2×C4×C53—22no—
740C2×C4×C53—41no—
741C2×C4×C53—42no—
742C2×C4×C532−1+414yes—
743C2×C4×C53C2514yes—
744C2×C4×C53C2511yescharacteristic
745C2×C4×C53C2514yes—
746C2×C4×C53C2514yes—
747C2×C4×C53C2511yescharacteristic
748C2×C4×C53C2514yes—
749C2×C4×C53C2511yescharacteristic
750C2×C4×C53C2514yes—
751C2×C4×C53C2514yes—
752C2×C4×C53C2511yescharacteristic
753C2×C4×C53C2511yescharacteristic
754C2×C4×C53C2511yescharacteristic
755C22⋊D53—28no—
756C2×Dic53—22no—
757C2×Dic53—41no—
758C2×Dic53—41no—
759C2×Dic53—42no—
760C2×Dic53C2514yes—
761C2×Dic53C2511yescharacteristic
762C2×Dic53C2511yescharacteristic
763C2×Dic53C2514yes—
764C2×Dic53C2514yes—
765C2×Dic53C2514yes—
766C2×Dic53C2511yescharacteristic
767C2×Dic53C2511yescharacteristic
768C2×Dic53C2511yescharacteristic
769C2×Dic53C2511yescharacteristic
770D212—28no—
771D212—28no—
772D212—24no—
773D212—24no—
774D212—24no—
775D212—24no—
776D212—44no—
777D212—44no—
778D212—48no—
779D212—48no—
780D212—42no—
781C4×D53—22no—
782C4×D53—22no—
783C4×D53—28no—
784C4×D53—22no—
785C4×D53—22no—
786C4×D53—22no—
787C4×D53—22no—
788C4×D53—28no—
789C4×D53—22no—
790C4×D53—28no—
791C4×D53—22no—
792C4×D53—41no—
793C4×D53—41no—
794C4×D53—44no—
795C4×D53—41no—
796C4×D53—41no—
797C4×D53—48no—
798C4×D53—44no—
799C4×D53—48no—
800C4×D53—48no—
801C4×D53—48no—
802C4×D53—44no—
803C4×D53—44no—
804Dic106—24no—
805Dic106—24no—
806Dic106—44no—
807Dic106—48no—
808Dic106—44no—
809Dic106—42no—
810#62831—531nomaximal, Sylow
811C22×C53—21no—
812C22×C53—21no—
813C22×C53C2×2−1+412yes—
814C22×C53C2611yescharacteristic
815C2×D53—21no—
816C2×D53—21no—
817C2×D53—21no—
818C2×D53—24no—
819C2×D53—24no—
820C2×D53—24no—
821C2×D53—21no—
822C2×D53—24no—
823C2×D53—24no—
824C2×D53—24no—
825C2×D53—21no—
826C2×D53—44no—
827C2×D53—84no—
828C2×D53#58512yes—
829C4×C53—24no—
830C4×C53—21no—
831C4×C53—24no—
832C4×C53—24no—
833C4×C53—24no—
834C4×C53—21no—
835C4×C53—21no—
836C4×C53—24no—
837C4×C53—24no—
838C4×C53C2×2−1+412yes—
839C4×C53C2×2−1+412yes—
840C4×C53#58512yes—
841Dic53—24no—
842Dic53—21no—
843Dic53—21no—
844Dic53—24no—
845Dic53—21no—
846Dic53—21no—
847Dic53—24no—
848Dic53—24no—
849Dic53—21no—
850Dic53—21no—
851#3565—534no—
852#3564—534no—
853#3557—534no—
854#3555—532no—
855#3554—532no—
856#3552—532no—
857#3544—532no—
858#3535—534no—
859#3523—532no—
860#3522—532no—
861#3520—534no—
862#3518—532no—
863#3515—534no—
864#3515—532no—
865#3510—532no—
866#3507—534no—
867#3507—531no—
868#3506—531no—
869#3504—532no—
870#3502D5311yescharacteristic, complemented
871#3501—531no—
872#3495—534no—
873#3495—532no—
874#3494—532no—
875#3444—531no—
876C2×#533—531no—
877C2×#529—531no—
878C2×C53—22no—
879C2×C53C22×2−1+411yescharacteristic
880C2×C53C2×#58511yescharacteristic
881C2×C53C2×#58511yescharacteristic
882D53—22no—
883D53—44no—
884D53—41no—
885D53—44no—
886#563—538no—
887#563—538no—
888#563—538no—
889#562—538no—
890#559—534no—
891#559—534no—
892#559—532no—
893#559—534no—
894Q82C2×D5312yescomplemented
895Q82C2×D5312yescomplemented
896#557—534no—
897#557—534no—
898#557—532no—
899#557C2×D5314yescomplemented
900#557C2×D5312yescomplemented
901#557C2×D5314yescomplemented
902#557C2×D5312yescomplemented
903#556—538no—
904#556—534no—
905#556—538no—
906#556—534no—
907#556—534no—
908#556—534no—
909#556—534no—
910#556—532no—
911#556—532no—
912#555—534no—
913#555—532no—
914#554—532no—
915#554—534no—
916#554—534no—
917#554—534no—
918#554—538no—
919#554—538no—
920#554—534no—
921#554—532no—
922#554—534no—
923#554—532no—
924#553—534no—
925#553—534no—
926#553—534no—
927#552—538no—
928#552—538no—
929#552—538no—
930#552—538no—
931#552—534no—
932#552—538no—
933#552—534no—
934#552—534no—
935#552—534no—
936#552—534no—
937#552—538no—
938#551—538no—
939#551—538no—
940#551—538no—
941#551—538no—
942#550—532no—
943D4×Q8—532no—
944D4×Q8—534no—
945D4×Q8—532no—
946#548—534no—
947#548—534no—
948#547—534no—
949#547—532no—
950#547—534no—
951#547—538no—
952#547—534no—
953#546—538no—
954#544—534no—
955#544—534no—
956#544—534no—
957#544—532no—
958#544C2×D5312yes—
959#544C2×D5314yes—
960#543—534no—
961#542—534no—
962#542—534no—
963#542—538no—
964#542—538no—
965#542—534no—
966#542—534no—
967#542—534no—
968#542—534no—
969#542—538no—
970#541—534no—
971#541—538no—
972#541—538no—
973#541—534no—
974#541—534no—
975#540—534no—
976#539—538no—
977#539—538no—
978#539—538no—
979#539—538no—
980#539—538no—
981#539—534no—
982#538—534no—
983#536—532no—
984#536—534no—
985#536—538no—
986#535—532no—
987#533—531no—
988#533—531no—
989#533—531no—
990#533—531no—
991#533—534no—
992#533—532no—
993#533—532no—
994#533—532no—
995#533—532no—
996#533—532no—
997#533—534no—
998#533—532no—
999#533—531no—
1000#533C2×D5311yescharacteristic
1001#533C2×D5311yescharacteristic
1002#533C2×D5314yes—
1003#532—531no—
1004#532—531no—
1005#532—534no—
1006#532—531no—
1007C2×C4⋊Q8—531no—
1008C2×C4⋊Q8—531no—
1009#529—532no—
1010#529—532no—
1011#529—534no—
1012#529—532no—
1013#529—532no—
1014#529—532no—
1015#529—532no—
1016#529—532no—
1017#529—532no—
1018#529—532no—
1019#529—532no—
1020#529—532no—
1021#529—532no—
1022#529—532no—
1023#529—532no—
1024#529—534no—
1025#529—534no—
1026#529—534no—
1027#529—534no—
1028C2×#126—532no—
1029C2×#125—532no—
1030C2×#125—534no—
1031C2×#125—531no—
1032C2×#124—531no—
1033#525—532no—
1034#525—532no—
1035#525—534no—
1036#525—532no—
1037C2×#123—532no—
1038C2×C22⋊Q8—531no—
1039C2×C22⋊Q8—532no—
1040C2×C22⋊Q8—532no—
1041C2×C22⋊Q8—534no—
1042C2×#121—531no—
1043#520—534no—
1044#520—538no—
1045#520—532no—
1046#520—532no—
1047#519—534no—
1048#519C2×D5312yes—
1049#518—532no—
1050C4×#41—532no—
1051C4×#41—532no—
1052C4×#41—532no—
1053C2×C4×Q8—532no—
1054C2×C4×Q8—532no—
1055C2×C4×Q8C2×D5311yescharacteristic
1056C2×C4×D4—531no—
1057C2×C4×D4—532no—
1058C2×#117—532no—
1059C2×#117—532no—
1060C22×C42—531no—
1061C53#6283111yescharacteristic, complemented, Sylow
1062C2×#41—532no—
1063C2×#41—532no—
1064C2×#41—534no—
1065C2×#41—538no—
1066C2×#41—532no—
1067C22×Q8—532no—
1068C22×Q8—532no—
1069C22×Q8—534no—
1070C22×Q8C22×D5311yescharacteristic
1071C22×D4—531no—
1072C22×D4—532no—
1073C23×C4—531no—
1074C23×C4—532no—
1075C23×C4—531no—
1076C23×C4—531no—
1077C4⋊Q8—532no—
1078C4⋊Q8—532no—
1079C4⋊Q8—534no—
1080C4⋊Q8—538no—
1081C4⋊Q8—532no—
1082C4⋊Q8—532no—
1083C4⋊Q8—532no—
1084C4⋊Q8—532no—
1085C4⋊Q8—534no—
1086C4⋊Q8—538no—
1087C4⋊Q8—531no—
1088C4⋊Q8—531no—
1089C4⋊Q8—531no—
1090C4⋊Q8—534no—
1091C4⋊Q8C22×D5311yescharacteristic
1092C4⋊Q8C22×D5311yescharacteristic
1093C4⋊Q8C22×D5311yescharacteristic
1094C4⋊Q8C22×D5311yescharacteristic
1095C4⋊Q8C22×D5314yes—
1096C4⋊Q8C22×D5314yes—
1097C4⋊Q8C22×D5314yes—
1098C4⋊Q8C22×D5314yes—
1099C4⋊Q8C22×D5318yes—
1100C4⋊Q8C22×D5318yes—
1101#127—531no—
1102#127—534no—
1103#126—534no—
1104#126—534no—
1105#126—534no—
1106#126—534no—
1107#126—534no—
1108#126—534no—
1109#126—538no—
1110#126—538no—
1111#126—538no—
1112#126—538no—
1113#126—538no—
1114#126—538no—
1115#126—538no—
1116#126—538no—
1117#126—538no—
1118#126—538no—
1119#126—538no—
1120#126—538no—
1121#126—538no—
1122#125—532no—
1123#125—532no—
1124#125—532no—
1125#125—532no—
1126#125—532no—
1127#125—532no—
1128#125—534no—
1129#125—534no—
1130#125—538no—
1131#125—538no—
1132#125—532no—
1133#125—532no—
1134#125—534no—
1135#125—538no—
1136#125—538no—
1137#125—538no—
1138#125—538no—
1139#125—538no—
1140#125—532no—
1141#125—534no—
1142#125—534no—
1143#125—538no—
1144#125C22×D5312yes—
1145#125C22×D5314yes—
1146#125C22×D5312yes—
1147#125C22×D5314yes—
1148#125C22×D5318yes—
1149#125C22×D5318yes—
1150#125C22×D5318yes—
1151#124—532no—
1152#124—532no—
1153#124—532no—
1154#124—532no—
1155#124—532no—
1156#124—532no—
1157#124—534no—
1158#124—538no—
1159#124—538no—
1160#124—538no—
1161#124—532no—
1162#124—534no—
1163#124—534no—
1164#124—538no—
1165#124—538no—
1166#124—538no—
1167#123—538no—
1168#123—534no—
1169#123—534no—
1170#123—534no—
1171#123—534no—
1172#123—534no—
1173#123—534no—
1174#123—538no—
1175#123—538no—
1176#123—538no—
1177#123—538no—
1178#123—538no—
1179#123—538no—
1180#123—538no—
1181#123—538no—
1182#123—538no—
1183#123—538no—
1184#123—538no—
1185#123—538no—
1186#123—538no—
1187#123—534no—
1188C22⋊Q8—532no—
1189C22⋊Q8—532no—
1190C22⋊Q8—532no—
1191C22⋊Q8—532no—
1192C22⋊Q8—532no—
1193C22⋊Q8—532no—
1194C22⋊Q8—534no—
1195C22⋊Q8—532no—
1196C22⋊Q8—532no—
1197C22⋊Q8—534no—
1198C22⋊Q8—534no—
1199C22⋊Q8—534no—
1200C22⋊Q8—538no—
1201C22⋊Q8—538no—
1202C22⋊Q8—538no—
1203C22⋊Q8—538no—
1204C22⋊Q8—532no—
1205C22⋊Q8—532no—
1206C22⋊Q8—532no—
1207C22⋊Q8—534no—
1208C22⋊Q8—532no—
1209C22⋊Q8—534no—
1210C22⋊Q8—538no—
1211C22⋊Q8—534no—
1212C22⋊Q8—532no—
1213C22⋊Q8—532no—
1214C22⋊Q8—538no—
1215C22⋊Q8—538no—
1216C22⋊Q8—538no—
1217C22⋊Q8—538no—
1218C22⋊Q8—538no—
1219C22⋊Q8—538no—
1220C22⋊Q8—538no—
1221C22⋊Q8—538no—
1222C22⋊Q8—538no—
1223C22⋊Q8—538no—
1224C22⋊Q8—538no—
1225C22⋊Q8—538no—
1226C22⋊Q8—534no—
1227C22⋊Q8—534no—
1228C22⋊Q8—538no—
1229C22⋊Q8C22×D5312yes—
1230C22⋊Q8C22×D5312yes—
1231C22⋊Q8C22×D5312yes—
1232C22⋊Q8C22×D5312yes—
1233C22⋊Q8C22×D5318yes—
1234#121—532no—
1235#121—532no—
1236#121—532no—
1237#121—532no—
1238#121—532no—
1239#121—532no—
1240#121—532no—
1241#121—532no—
1242#121—532no—
1243#121—532no—
1244#121—534no—
1245#121—534no—
1246#121—534no—
1247#121—538no—
1248#121—538no—
1249#121—538no—
1250#121—538no—
1251#120—534no—
1252#120—538no—
1253C4×Q8—532no—
1254C4×Q8—532no—
1255C4×Q8—532no—
1256C4×Q8—532no—
1257C4×Q8—538no—
1258C4×Q8—532no—
1259C4×Q8—534no—
1260C4×Q8—532no—
1261C4×Q8—534no—
1262C4×Q8—532no—
1263C4×Q8—532no—
1264C4×Q8—538no—
1265C4×Q8—534no—
1266C4×Q8—532no—
1267C4×Q8—532no—
1268C4×Q8—534no—
1269C4×Q8—534no—
1270C4×Q8—534no—
1271C4×Q8—538no—
1272C4×Q8—534no—
1273C4×Q8C22×D5312yes—
1274C4×Q8C22×D5312yes—
1275C4×Q8C22×D5312yes—
1276C4×Q8C22×D5312yes—
1277C4×Q8C22×D5312yes—
1278C4×Q8C22×D5312yes—
1279C4×Q8C22×D5312yes—
1280C4×Q8C22×D5312yes—
1281C4×Q8C22×D5314yes—
1282C4×Q8C22×D5314yes—
1283C4×Q8C22×D5314yes—
1284C4×Q8C22×D5314yes—
1285C4×Q8C22×D5314yes—
1286C4×Q8C22×D5314yes—
1287C4×Q8C22×D5318yes—
1288C4×D4—538no—
1289C4×D4—534no—
1290C4×D4—532no—
1291C4×D4—534no—
1292C4×D4—532no—
1293C4×D4—532no—
1294C4×D4—532no—
1295C4×D4—534no—
1296C4×D4—534no—
1297C4×D4—538no—
1298C4×D4—538no—
1299C4×D4—534no—
1300C4×D4—538no—
1301C4×D4—534no—
1302C4×D4—534no—
1303C4×D4—538no—
1304C4×D4—534no—
1305C4×D4—534no—
1306C4×D4—534no—
1307C4×D4—534no—
1308C4×D4—532no—
1309C4×D4—532no—
1310C4×D4—532no—
1311C4×D4—532no—
1312C4×D4—534no—
1313C4×D4—534no—
1314C4×D4—532no—
1315C4×D4—532no—
1316C4×D4—534no—
1317C4×D4—534no—
1318C4×D4—538no—
1319C4×D4—538no—
1320C4×D4—538no—
1321C4×D4—534no—
1322C4×D4—534no—
1323#117—532no—
1324#117—532no—
1325#117—532no—
1326#117—532no—
1327#117—532no—
1328#117—534no—
1329#117—534no—
1330#117—534no—
1331#117—538no—
1332#117—534no—
1333#117—534no—
1334#117—534no—
1335#117—534no—
1336#117—534no—
1337#117—534no—
1338#117—534no—
1339#117—534no—
1340#117—534no—
1341#117—538no—
1342#117—538no—
1343#117—538no—
1344#117—538no—
1345#117—538no—
1346#117C22×D5312yes—
1347#117C22×D5312yes—
1348#117C22×D5318yes—
1349C2×C4⋊C4—532no—
1350C2×C4⋊C4—532no—
1351C2×C4⋊C4—531no—
1352C2×C4⋊C4—532no—
1353C2×C4⋊C4—532no—
1354C2×C4⋊C4—532no—
1355C2×C4⋊C4—534no—
1356C2×C4⋊C4—534no—
1357C2×C4⋊C4—532no—
1358C2×C4⋊C4—532no—
1359C2×C4⋊C4—538no—
1360C2×C4⋊C4—534no—
1361C2×C4⋊C4—538no—
1362C2×C4⋊C4—538no—
1363C2×C4⋊C4—534no—
1364C2×C4⋊C4—534no—
1365C2×C4⋊C4C22×D5311yescharacteristic
1366C2×C4⋊C4C22×D5312yes—
1367C2×C22⋊C4—532no—
1368C2×C22⋊C4—532no—
1369C2×C22⋊C4—532no—
1370C2×C22⋊C4—532no—
1371C2×C22⋊C4—532no—
1372C2×C22⋊C4—534no—
1373C2×C22⋊C4—538no—
1374C2×C42—531no—
1375C2×C42—531no—
1376C2×C42—531no—
1377C2×C42—534no—
1378C2×C42—531no—
1379C2×C42—531no—
1380C2×C42—534no—
1381C2×C42—531no—
1382C2×C42—531no—
1383C2×C42—531no—
1384C2×C42—531no—
1385C2×C42—531no—
1386C2×C42—531no—
1387C2×C42C22×D5312yes—
1388C2×C42C22×D5311yescharacteristic
1389C24—531no—
1390C24—532no—
1391#41—1068no—
1392#41—2124no—
1393#41—21216no—
1394#41—2128no—
1395#41—2124no—
1396C2×Q8—24no—
1397C2×Q8—532no—
1398C2×Q8—532no—
1399C2×Q8—532no—
1400C2×Q8—538no—
1401C2×Q8—534no—
1402C2×Q8—534no—
1403C2×Q8—2124no—
1404C2×Q8—2124no—
1405C2×Q8—2128no—
1406C2×Q8C23×D5312yes—
1407C2×Q8C23×D5312yes—
1408C2×Q8C23×D5312yes—
1409C2×Q8C23×D5312yes—
1410C2×Q8C23×D5312yes—
1411C2×Q8C23×D5318yes—
1412C2×Q8C23×D5312yes—
1413C2×D4—534no—
1414C2×D4—532no—
1415C2×D4—532no—
1416C2×D4—532no—
1417C2×D4—534no—
1418C2×D4—534no—
1419C2×D4—532no—
1420C2×D4—534no—
1421C2×D4—538no—
1422C2×D4—538no—
1423C2×D4—534no—
1424C2×D4—532no—
1425C2×D4—1064no—
1426C2×D4—2124no—
1427C22×C4—531no—
1428C22×C4—531no—
1429C22×C4—531no—
1430C22×C4—532no—
1431C22×C4—531no—
1432C22×C4—531no—
1433C22×C4—531no—
1434C22×C4—531no—
1435C22×C4—531no—
1436C22×C4—531no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—534no—
1440C22×C4—534no—
1441C22×C4—534no—
1442C22×C4—531no—
1443C22×C4—531no—
1444C22×C4—531no—
1445C22×C4—531no—
1446C22×C4—534no—
1447C22×C4—534no—
1448C22×C4—534no—
1449C22×C4—538no—
1450C22×C4—538no—
1451C22×C4—538no—
1452C22×C4—538no—
1453C22×C4—534no—
1454C22×C4—1064no—
1455C22×C4—2122no—
1456C22×C4—2124no—
1457C22×C4—2122no—
1458C22×C4C23×D5311yescharacteristic
1459C22×C4C23×D5312yes—
1460C22×C4C23×D5311yescharacteristic
1461C22×C4C23×D5312yes—
1462C22×C4C23×D5311yescharacteristic
1463C4⋊C4—532no—
1464C4⋊C4—532no—
1465C4⋊C4—534no—
1466C4⋊C4—534no—
1467C4⋊C4—534no—
1468C4⋊C4—532no—
1469C4⋊C4—534no—
1470C4⋊C4—534no—
1471C4⋊C4—538no—
1472C4⋊C4—538no—
1473C4⋊C4—532no—
1474C4⋊C4—534no—
1475C4⋊C4—534no—
1476C4⋊C4—534no—
1477C4⋊C4—534no—
1478C4⋊C4—534no—
1479C4⋊C4—534no—
1480C4⋊C4—532no—
1481C4⋊C4—534no—
1482C4⋊C4—534no—
1483C4⋊C4—538no—
1484C4⋊C4—538no—
1485C4⋊C4—538no—
1486C4⋊C4—534no—
1487C4⋊C4—532no—
1488C4⋊C4—534no—
1489C4⋊C4—534no—
1490C4⋊C4—532no—
1491C4⋊C4—534no—
1492C4⋊C4—538no—
1493C4⋊C4—532no—
1494C4⋊C4—534no—
1495C4⋊C4—534no—
1496C4⋊C4—534no—
1497C4⋊C4—538no—
1498C4⋊C4C23×D5312yes—
1499C4⋊C4C23×D5312yes—
1500C4⋊C4C23×D5312yes—
1501C4⋊C4C23×D5314yes—
1502C4⋊C4C23×D5312yes—
1503C4⋊C4C23×D5312yes—
1504C4⋊C4C23×D5314yes—
1505C4⋊C4C23×D5318yes—
1506C4⋊C4C23×D5318yes—
1507C4⋊C4C23×D5314yes—
1508C4⋊C4C23×D5312yes—
1509C4⋊C4C23×D5312yes—
1510C4⋊C4C23×D5314yes—
1511C4⋊C4C23×D5314yes—
1512C4⋊C4C23×D5312yes—
1513C4⋊C4C23×D5314yes—
1514C4⋊C4C23×D5318yes—
1515C4⋊C4C23×D5312yes—
1516C4⋊C4C23×D5312yes—
1517C4⋊C4C23×D5318yes—
1518C4⋊C4C23×D5318yes—
1519C22⋊C4—534no—
1520C22⋊C4—534no—
1521C22⋊C4—534no—
1522C22⋊C4—534no—
1523C22⋊C4—534no—
1524C22⋊C4—534no—
1525C22⋊C4—534no—
1526C22⋊C4—534no—
1527C22⋊C4—534no—
1528C22⋊C4—534no—
1529C22⋊C4—538no—
1530C22⋊C4—538no—
1531C22⋊C4—534no—
1532C22⋊C4—534no—
1533C22⋊C4—534no—
1534C22⋊C4—534no—
1535C22⋊C4—534no—
1536C22⋊C4—534no—
1537C22⋊C4—538no—
1538C22⋊C4—538no—
1539C22⋊C4—534no—
1540C22⋊C4—538no—
1541C22⋊C4—538no—
1542C22⋊C4—534no—
1543C22⋊C4—534no—
1544C22⋊C4—534no—
1545C22⋊C4—534no—
1546C22⋊C4—538no—
1547C22⋊C4—538no—
1548C22⋊C4C23×D5314yes—
1549C22⋊C4C23×D5314yes—
1550C42—531no—
1551C42—531no—
1552C42—531no—
1553C42—531no—
1554C42—531no—
1555C42—531no—
1556C42—531no—
1557C42—531no—
1558C42—531no—
1559C42—531no—
1560C42—531no—
1561C42—531no—
1562C42—534no—
1563C42—534no—
1564C42—534no—
1565C42—534no—
1566C42—534no—
1567C42—538no—
1568C42—538no—
1569C42C23×D5311yescharacteristic
1570C42C23×D5311yescharacteristic
1571C42C23×D5311yescharacteristic
1572C42C23×D5311yescharacteristic
1573C42C23×D5314yes—
1574C42C23×D5314yes—
1575C42C23×D5314yes—
1576C42C23×D5314yes—
1577C42C23×D5318yes—
1578C42C23×D5318yes—
1579C23—531no—
1580C23—531no—
1581C23—534no—
1582C23—534no—
1583C23—1062no—
1584C23—1064no—
1585C23—1062no—
1586C23—2122no—
1587C23—2122no—
1588C23—2121no—
1589C23C24×D5311yescharacteristic
1590Q8—24no—
1591Q8—24no—
1592Q8—24no—
1593Q8—24no—
1594Q8—42no—
1595Q8—42no—
1596Q8—48no—
1597Q8—1064no—
1598Q8—1064no—
1599Q8—2122no—
1600Q8—2124no—
1601Q8—2124no—
1602Q8—2128no—
1603D4—1068no—
1604D4—1068no—
1605D4—1068no—
1606D4—1064no—
1607D4—1064no—
1608D4—1064no—
1609D4—1064no—
1610D4—2124no—
1611D4—2122no—
1612D4—2128no—
1613D4—2128no—
1614D4—2124no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—531no—
1620C2×C4—531no—
1621C2×C4—531no—
1622C2×C4—534no—
1623C2×C4—531no—
1624C2×C4—531no—
1625C2×C4—531no—
1626C2×C4—534no—
1627C2×C4—534no—
1628C2×C4—534no—
1629C2×C4—1062no—
1630C2×C4—1062no—
1631C2×C4—1068no—
1632C2×C4—1062no—
1633C2×C4—1062no—
1634C2×C4—1062no—
1635C2×C4—1062no—
1636C2×C4—1062no—
1637C2×C4—1068no—
1638C2×C4—1062no—
1639C2×C4—1068no—
1640C2×C4—1062no—
1641C2×C4—2121no—
1642C2×C4—2121no—
1643C2×C4—2121no—
1644C2×C4—2124no—
1645C2×C4—2121no—
1646C2×C4—2124no—
1647C2×C4—2128no—
1648C2×C4—2128no—
1649C2×C4—2124no—
1650C2×C4—2128no—
1651C2×C4—2128no—
1652C2×C4—2124no—
1653C2×C4—2121no—
1654C2×C4—2121no—
1655C2×C4—2122no—
1656C2×C4#1313326514yes—
1657C2×C4C24×D5314yes—
1658C2×C4C24×D5311yescharacteristic
1659C2×C4C24×D5311yescharacteristic
1660C2×C4C24×D5311yescharacteristic
1661C2×C4C24×D5314yes—
1662C2×C4C24×D5314yes—
1663C2×C4C24×D5314yes—
1664C2×C4C24×D5314yes—
1665C2×C4C24×D5314yes—
1666C2×C4C24×D5311yescharacteristic
1667C2×C4C24×D5311yescharacteristic
1668C2×C4C24×D5311yescharacteristic
1669C22—21no—
1670C22—21no—
1671C22—532no—
1672C22—1061no—
1673C22—1061no—
1674C22—1061no—
1675C22—1064no—
1676C22—1064no—
1677C22—1064no—
1678C22—1064no—
1679C22—1061no—
1680C22—1064no—
1681C22—1061no—
1682C22—1064no—
1683C22—4244no—
1684C22—2124no—
1685C22C2×#1313326512yes—
1686C22C25×D5311yescharacteristic
1687C4—24no—
1688C4—21no—
1689C4—21no—
1690C4—24no—
1691C4—24no—
1692C4—24no—
1693C4—21no—
1694C4—24no—
1695C4—24no—
1696C4—1061no—
1697C4—1061no—
1698C4—1064no—
1699C4—1061no—
1700C4—1064no—
1701C4—1061no—
1702C4—1061no—
1703C4—1064no—
1704C4—1061no—
1705C4—1064no—
1706C4C2×#1313326512yes—
1707C4C2×#1313326512yes—
1708C4#1681146012yes—
1709C2—22no—
1710C2—1062no—
1711C2—2124no—
1712C2—2121no—
1713C2—2124no—
1714C2C22×#1313326511yescharacteristic
1715C2#585×D5311yescharacteristic
1716C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3502C2
hypercenter#3502D53
hypocenterC53#62831
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3502

Complements

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

NH ≅ G/Ntype
1. #20289367C2semidirect
2. #20289336C2semidirect
3. #20289222C2semidirect
4. #20289204C2semidirect
5. #20289189C2semidirect
6. #20289161C2semidirect
7. #20289060C2semidirect
8. #20288925C2semidirect
9. #20288808C2semidirect
10. #20288801C2semidirect
11. #20288759C2semidirect
12. #20288733C2semidirect
13. #20288692C2semidirect
14. #20288692C2semidirect
15. #20288612C2semidirect
16. #20288581C2semidirect
17. #20288580C2semidirect
18. #20288569C2semidirect
19. #20288538C2semidirect
20. #20288516C2semidirect
21. #20288462C2semidirect
22. #20288457C2semidirect
23. #20288453C2semidirect
24. #20288012C2semidirect
25. #533×D53C2semidirect
26. C2×#16811160C2semidirect
27. C53×#3502C2semidirect
28. #16811377C22semidirect
29. #16811372C22semidirect
30. #16811372C22semidirect
31. #16811371C22semidirect
32. #16811358C22semidirect
33. #16811358C22semidirect
34. #16811358C22semidirect
35. #16811358C22semidirect
36. #16811351C22semidirect
37. #16811350C22semidirect
38. #16811348C22semidirect
39. #16811347C22semidirect
40. #16811347C22semidirect
41. #16811346C22semidirect
42. #16811346C22semidirect
43. #16811346C22semidirect
44. #16811345C22semidirect
45. #16811345C22semidirect
46. #16811345C22semidirect
47. #16811345C22semidirect
49. #16811339C22semidirect
50. #16811334C22semidirect
51. #16811334C22semidirect
52. #16811333C22semidirect
53. #16811333C22semidirect
54. #16811333C22semidirect
55. #16811333C22semidirect
57. #16811329C22semidirect
58. #16811329C22semidirect
62. #16811326C22semidirect
63. #16811314C22semidirect
64. #16811314C22semidirect
65. #16811314C22semidirect
66. #16811314C22semidirect
67. #16811314C22semidirect
68. #16811314C22semidirect
70. #16811305C22semidirect
71. #16811305C22semidirect
72. #16811305C22semidirect
73. #16811305C22semidirect
78. #16811295C22semidirect
79. Q8×D212C22semidirect
80. #16811288C22semidirect
81. #16811288C22semidirect
82. #16811285C22semidirect
83. #16811285C22semidirect
85. #16811276C22semidirect
86. #16811276C22semidirect
87. #16811276C22semidirect
88. #16811276C22semidirect
90. #16811253C22semidirect
92. #16811250C22semidirect
93. #16811250C22semidirect
96. #16811247C22semidirect
97. #16811247C22semidirect
98. #16811247C22semidirect
99. #16811245C22semidirect
100. #16811245C22semidirect
101. #16811245C22semidirect
102. #16811245C22semidirect
103. #16811245C22semidirect
104. #16811234C22semidirect
105. #16811234C22semidirect
106. #16811232C22semidirect
107. #16811231C22semidirect
108. #16811231C22semidirect
110. #16811221C22semidirect
111. #16811221C22semidirect
112. #16811221C22semidirect
113. #16811221C22semidirect
114. #16811221C22semidirect
117. #16811198C22semidirect
118. #16811198C22semidirect
122. #16811179C22semidirect
123. #16811178C22semidirect
124. #16811178C22semidirect
125. #16811178C22semidirect
126. #16811178C22semidirect
127. #16811178C22semidirect
128. #16811177C22semidirect
129. #16811177C22semidirect
130. #16811177C22semidirect
135. #16811174C22semidirect
136. #16811174C22semidirect
138. C4⋊Q8×D53C22semidirect
139. C4⋊Q8×D53C22semidirect
148. #16811160C22semidirect
149. #16811160C22semidirect
150. #16811160C22semidirect
151. #16811160C22semidirect
152. #16811160C22semidirect
156. #16811158C22semidirect
157. #16811158C22semidirect
161. #125×D53C22semidirect
162. #125×D53C22semidirect
174. #16811105C22semidirect
175. #16811105C22semidirect
178. #16811099C22semidirect
180. C4×#11719949C22semidirect
181. C4×#11719949C22semidirect
183. C4×Q8×D53C22semidirect
184. C4×Q8×D53C22semidirect
190. Q82×C53C22semidirect
191. Q82×C53C22semidirect
192. C53×#557C22semidirect
193. C53×#557C22semidirect
194. C53×#557C22semidirect
195. C53×#557C22semidirect
870. #3502D53semidirect
894. Q82C2×D53semidirect
895. Q82C2×D53semidirect
899. #557C2×D53semidirect
900. #557C2×D53semidirect
901. #557C2×D53semidirect
902. #557C2×D53semidirect
1061. C53#62831semidirect

Maximal subgroups

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

subgroupindex
#202893672
#202893362
#202892222
#202892042
#202891892
#202891612
#202890602
#202889252
#202888082
#202888012
#202887592
#202887332
#202886922
#202886122
#202885812
#202885802
#202885692
#202885382
#202885162
#202884622
#202884572
#202884532
#202880122
#533×D532
C2×#168111602
C53×#35022
#6283153