Finite Group Databasebeta

← #28281312

Subgroups — #28281312

Order 13568.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289346C211yesmaximal, characteristic, complemented
2#20288660C211yesmaximal, characteristic, complemented
3#20287670C211yesmaximal, characteristic, complemented
4#20287593C211yesmaximal, characteristic, complemented
5#20287484C211yesmaximal, characteristic, complemented
6#20287374C211yesmaximal, characteristic, complemented
7#20287306C211yesmaximal, characteristic, complemented
8#20287275C211yesmaximal, characteristic, complemented
9#20287273C211yesmaximal, characteristic, complemented
10#20287158C211yesmaximal, characteristic, complemented
11#20287117C211yesmaximal, characteristic, complemented
12#20286940C211yesmaximal, characteristic, complemented
13#20286937C211yesmaximal, characteristic, complemented
14#20286914C211yesmaximal, characteristic, complemented
15#20286874C211yesmaximal, characteristic, complemented
16#20286858C211yesmaximal, characteristic, complemented
17#20286556C211yesmaximal, characteristic, complemented
18#20286177C211yesmaximal, characteristic, complemented
19#20286132C211yesmaximal, characteristic, complemented
20#20286117C211yesmaximal, characteristic, complemented
21#20286019C211yesmaximal, characteristic, complemented
22#20285969C211yesmaximal, characteristic, complemented
23#20285897C211yesmaximal, characteristic, complemented
24#20284990C211yesmaximal, characteristic, complemented
25#20284902C211yesmaximal, characteristic, complemented
26#20284765C211yesmaximal, characteristic, complemented
27#20284563C211yesmaximal, characteristic, complemented
28#20284549C211yesmaximal, characteristic, complemented
29#20284511C211yesmaximal, characteristic, complemented
30#20283857C211yesmaximal, characteristic, complemented
31C53×#3349C211yesmaximal, characteristic, complemented
32#16811375—21no—
33#16811367—21no—
34#16811358C2211yescharacteristic
35#16811349C2211yescharacteristic, complemented
36#16811346—21no—
37#16811336C2211yescharacteristic, complemented
38#16811334C2211yescharacteristic, complemented
39#16811329C2211yescharacteristic
40#16811326—21no—
41#16811319C2211yescharacteristic
42#16811317C2211yescharacteristic
43#16811317C2211yescharacteristic, complemented
44#16811315C2211yescharacteristic, complemented
45#16811309—21no—
46#16811307C2211yescharacteristic, complemented
47#16811298—21no—
48#16811297—21no—
49#16811274C2211yescharacteristic
50#16811265—21no—
51#16811264C2211yescharacteristic
52#16811264C2211yescharacteristic
53D4×D212C2211yescharacteristic
54#16811251C2211yescharacteristic, complemented
55#16811250C2211yescharacteristic, complemented
56#16811246C2211yescharacteristic
57#16811246C2211yescharacteristic, complemented
58#16811245C2211yescharacteristic, complemented
59#16811239—21no—
60#16811237—21no—
61#16811231—21no—
62#16811229C2211yescharacteristic
63#16811221—21no—
64#16811214—21no—
65#16811212—21no—
66#16811176C2211yescharacteristic, complemented
67#16811159C2211yescharacteristic
68#16811159C2211yescharacteristic, complemented
69#16811153C2211yescharacteristic
70#16811135—21no—
71#123×D53—21no—
72#16811105C2211yescharacteristic
73#16811097C2211yescharacteristic
74C2×#13133179C2211yescharacteristic
75#16811031C2211yescharacteristic, complemented
76#16811024C2211yescharacteristic, complemented
77#16811023C2211yescharacteristic, complemented
78#16811022C2211yescharacteristic, complemented
79#16811020C2211yescharacteristic, complemented
80#16810988C2211yescharacteristic
81#16810984C2211yescharacteristic, complemented
82#16810979C2211yescharacteristic, complemented
83#16810979C2211yescharacteristic, complemented
84#16810979C2211yescharacteristic, complemented
85#16810971C2211yescharacteristic
86#16810961C2211yescharacteristic, complemented
87#16810952C2211yescharacteristic, complemented
88#16810951C2211yescharacteristic, complemented
89#16810950C2211yescharacteristic, complemented
90#16810949C2211yescharacteristic, complemented
91#16810948C2211yescharacteristic
92#16810947C2211yescharacteristic
93#16810947C2211yescharacteristic
94#16810947C2211yescharacteristic, complemented
95#16810943C2211yescharacteristic, complemented
96#16810943C2211yescharacteristic, complemented
97#16810942C2211yescharacteristic
98#16810941C2211yescharacteristic, complemented
99#16810938C2211yescharacteristic, complemented
100#16810930C2211yescharacteristic, complemented
101#16810928C2211yescharacteristic, complemented
102#16810928C2211yescharacteristic, complemented
103#16810926C2211yescharacteristic
104#16810926C2211yescharacteristic
105#16810926C2211yescharacteristic, complemented
106#16810926C2211yescharacteristic, complemented
107#16810926C2211yescharacteristic, complemented
108#16810924C2211yescharacteristic
109#16810922C2211yescharacteristic
110#16810922C2211yescharacteristic
111#16810922C2211yescharacteristic, complemented
112#16810922C2211yescharacteristic, complemented
113#16810922C2211yescharacteristic, complemented
114#16810920C2211yescharacteristic, complemented
115#16810916C2211yescharacteristic, complemented
116#16810916C2211yescharacteristic, complemented
117#16810912C2211yescharacteristic
118#16810912C2211yescharacteristic, complemented
119#16810912C2211yescharacteristic, complemented
120#16810912C2211yescharacteristic, complemented
121#16810906C2211yescharacteristic, complemented
122#16810902C2211yescharacteristic
123#16810902C2211yescharacteristic
124#16810902C2211yescharacteristic, complemented
125#16810902C2211yescharacteristic, complemented
126#16810902C2211yescharacteristic, complemented
127#16810900C2211yescharacteristic
128#16810877C2211yescharacteristic, complemented
129#16810876C2211yescharacteristic
130#16810872C2211yescharacteristic, complemented
131#16810871C2211yescharacteristic
132#16810871C2211yescharacteristic
133#16810871C2211yescharacteristic, complemented
134#16810871C2211yescharacteristic, complemented
135#16810860C2211yescharacteristic, complemented
136#16810859C2211yescharacteristic
137#16810855C2211yescharacteristic, complemented
138#16810847C2211yescharacteristic, complemented
139#16810847C2211yescharacteristic, complemented
140#16810847C2211yescharacteristic, complemented
141#16810841C2211yescharacteristic
142#16810841C2211yescharacteristic, complemented
143#16810841C2211yescharacteristic, complemented
144#16810841C2211yescharacteristic, complemented
145#16810841C2211yescharacteristic, complemented
146#16810823C2211yescharacteristic
147#16810819C2211yescharacteristic
148#16810784C2211yescharacteristic
149#16810773C2211yescharacteristic
150#16810773C2211yescharacteristic
151#16810771C2211yescharacteristic
152#16810759C2211yescharacteristic
153#16810759C2211yescharacteristic
154#16810751C2211yescharacteristic, complemented
155#16810747C2211yescharacteristic, complemented
156#16810736C2211yescharacteristic
157#16810734C2211yescharacteristic
158#16810726C2211yescharacteristic, complemented
159C4×#11719924C2211yescharacteristic
160C4×#11719924C2211yescharacteristic, complemented
161#16810708C2211yescharacteristic
162#16810708C2211yescharacteristic
163#16810708C2211yescharacteristic, complemented
164#16810705C2211yescharacteristic
165#16810705C2211yescharacteristic, complemented
166#16810705C2211yescharacteristic, complemented
167#16810701C2211yescharacteristic
168#16810699C2211yescharacteristic, complemented
169#16810698C2211yescharacteristic, complemented
170#16810697C2211yescharacteristic, complemented
171C8×C22⋊D53C2211yescharacteristic, complemented
172#16810685C2211yescharacteristic, complemented
173#16810681C2211yescharacteristic, complemented
174#16810673C2211yescharacteristic, complemented
175#16810666C2211yescharacteristic, complemented
176#16810664C2211yescharacteristic, complemented
177#16810663C2211yescharacteristic, complemented
178#107×D53C2211yescharacteristic, complemented
179#16810649C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810646C2211yescharacteristic, complemented
182#16810629C2211yescharacteristic
183#16810627C2211yescharacteristic
184#16810627C2211yescharacteristic
185#16810623C2211yescharacteristic
186#16810618C2211yescharacteristic
187C2×#13133139C2211yescharacteristic
188C53×#556C2211yescharacteristic
189C53×#552C2211yescharacteristic
190C53×#501C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#485C2211yescharacteristic, complemented
193C53×#485C2211yescharacteristic, complemented
194C53×#484C2211yescharacteristic, complemented
195C53×#479C2211yescharacteristic, complemented
196C53×#477C2211yescharacteristic, complemented
197C53×#470C2211yescharacteristic, complemented
198C53×#467C2211yescharacteristic, complemented
199C53×#441C2211yescharacteristic, complemented
200C53×#435C2211yescharacteristic
201C53×#428C2211yescharacteristic, complemented
202C53×#427C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C22×D212C2311yescharacteristic
206C22×D212C2311yescharacteristic
207C2×D4×D53—21no—
208C22×C4×D53—21no—
209C2×#11719924C2311yescharacteristic
210C2×#11719924C2311yescharacteristic
211C2×#11719924C2311yescharacteristic
212C2×#11719924C2311yescharacteristic
213C2×D424C2311yescharacteristic
214C2×D424C2311yescharacteristic
215C2×D424C2311yescharacteristic
216C2×#11719917C2311yescharacteristic
217C2×#11719917C2311yescharacteristic
218C2×#11719912C2311yescharacteristic
219C2×C8×D53C2311yescharacteristic
220#13133217—21no—
221#13133216—21no—
222#13133216C2311yescharacteristic
223#13133216C2311yescharacteristic
224#13133216C2311yescharacteristic
225#13133216C2311yescharacteristic
226#13133215—21no—
227#13133214C2311yescharacteristic
228#13133212—21no—
229#13133212—21no—
230#13133212—21no—
231#13133212—21no—
232#13133212—21no—
233#13133212—21no—
234#13133212D411yescharacteristic
235#13133211—21no—
236#13133211—21no—
237#13133211—21no—
238#13133210—21no—
239#13133210D411yescharacteristic
240#13133209—21no—
241#13133209—21no—
242#13133209C2311yescharacteristic
243#13133208—21no—
244#13133208—21no—
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133208C2311yescharacteristic
248#13133208C2311yescharacteristic
249#13133208C2311yescharacteristic
250#13133207—21no—
251#13133207—21no—
252#13133207D411yescharacteristic
253#13133206C2311yescharacteristic
254#13133206C2311yescharacteristic
255#13133206C2311yescharacteristic
256#13133205—21no—
257#13133205—21no—
258#13133205—21no—
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203D411yescharacteristic
263#13133202—21no—
264#13133202—21no—
265#13133202—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133202—21no—
270#13133202—21no—
271#13133201—21no—
272#13133201—21no—
273#13133201—21no—
274#13133201D411yescharacteristic
275#13133200—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133199—21no—
280#13133199—21no—
281#13133199—21no—
282#13133198D411yescharacteristic
283#13133197—21no—
284#13133197—21no—
285#13133197—21no—
286#13133197—21no—
287#13133195—21no—
288#13133195—21no—
289#13133195—21no—
290#13133195—21no—
291#13133195—21no—
292#13133194—21no—
293#13133194—21no—
294#13133194—21no—
295#13133194—21no—
296#13133194D411yescharacteristic
297#13133193—21no—
298#13133193—21no—
299#13133193—21no—
300#13133193C2311yescharacteristic
301#13133192—21no—
302#13133192—21no—
303#13133192—21no—
304#13133192—21no—
305#13133192—21no—
306#13133192C2311yescharacteristic
307#13133192C2311yescharacteristic
308#13133192C2311yescharacteristic
309#13133191C2311yescharacteristic
310#13133191C2311yescharacteristic
311#13133191C2311yescharacteristic
312#13133191C2311yescharacteristic
313#13133190—21no—
314#13133190—21no—
315#13133190—21no—
316#13133189—21no—
317#13133189D411yescharacteristic
318#13133187—21no—
319#13133187—21no—
320#13133187—21no—
321#13133187—21no—
322Q8×Dic53C2311yescharacteristic
323Q8×Dic53C2311yescharacteristic
324Q8×Dic53C2311yescharacteristic
325C4×Dic106—21no—
326C4×Dic106—21no—
327C4×Dic106—21no—
328C4×Dic106C2311yescharacteristic
329C4×D212—21no—
330C4×D212—21no—
331C4×D212—21no—
332C4×D212—21no—
333C4×D212—21no—
334C4×D212—21no—
335C4×D212C2311yescharacteristic
336C4×D212C2311yescharacteristic
337#13133179—21no—
338#13133179—21no—
339#13133179—21no—
340#13133179C2311yescharacteristic
341#13133179C2311yescharacteristic
342#13133179C2311yescharacteristic
343#13133179C2311yescharacteristic
344#13133179C2311yescharacteristic
345#13133179C2311yescharacteristic
346#13133179C2311yescharacteristic
347#13133179C2311yescharacteristic
348#13133179C2311yescharacteristic
349C4×C22⋊D53C2311yescharacteristic
350C4×C22⋊D53C2311yescharacteristic
351#13133177—21no—
352#13133177—21no—
353#13133177—21no—
354#13133176C2311yescharacteristic
355#13133176C2311yescharacteristic
356#13133175—21no—
357#13133175—21no—
358#13133175—21no—
359#13133175C2311yescharacteristic
360#13133174—21no—
361#13133174—21no—
362#13133174C2311yescharacteristic
363#13133173—21no—
364C2×C4⋊Dic53C2311yescharacteristic
365C4⋊C4×D53—21no—
366C4⋊C4×D53—21no—
367C4⋊C4×D53—21no—
368C4⋊C4×D53C2311yescharacteristic
369C4⋊C4×D53C2311yescharacteristic
370C2×#11719921—21no—
371C22⋊C4×D53—21no—
372C22⋊C4×D53—21no—
373C22⋊C4×D53—21no—
374C22⋊C4×D53—21no—
375C2×C4×Dic53C2311yescharacteristic
376#13133151C2311yescharacteristic
377#13133150C2311yescharacteristic
378#13133150C2311yescharacteristic
379#13133150C2311yescharacteristic
380#13133150C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133149C2311yescharacteristic
384#13133149C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391C4⋊#88322C2311yescharacteristic
392#13133146C2311yescharacteristic
393#13133146C2311yescharacteristic
394#13133146C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133141C2311yescharacteristic
401#13133141C2311yescharacteristic
402#13133141C2311yescharacteristic
403#13133141C2311yescharacteristic
404#13133139C2311yescharacteristic
405#13133139C2311yescharacteristic
406#13133139C2311yescharacteristic
407#13133139C2311yescharacteristic
408#13133139C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133137C2311yescharacteristic
415#13133137C2311yescharacteristic
416#13133137C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426C22⋊#88322C2311yescharacteristic
427C22⋊#88322C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133129C2311yescharacteristic
430#13133127C2311yescharacteristic
431C4×#88322C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C2×Q16×C53C2311yescharacteristic
436C2×M16×C53C2311yescharacteristic
437C22×C8×C53C2311yescharacteristic
438C4⋊Q8×C53C2311yescharacteristic
439#126×C53—21no—
440#126×C53—21no—
441#126×C53—21no—
442#125×C53—21no—
443#125×C53C2311yescharacteristic
444#124×C53—21no—
445#123×C53—21no—
446C22⋊Q8×C53C2311yescharacteristic
447C22⋊Q8×C53C2311yescharacteristic
448C22⋊Q8×C53C2311yescharacteristic
449C22⋊Q8×C53C2311yescharacteristic
450C4×Q8×C53—21no—
451C4×Q8×C53C2311yescharacteristic
452C4×Q8×C53C2311yescharacteristic
453C4×D4×C53C2311yescharacteristic
454#117×C53—21no—
455#117×C53C2311yescharacteristic
456#117×C53C2311yescharacteristic
457#117×C53C2311yescharacteristic
458C2×C4⋊C4×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#106×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466#106×C53C2311yescharacteristic
467#106×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469#103×C53C2311yescharacteristic
470#103×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475C22⋊C8×C53C2311yescharacteristic
476C22⋊C8×C53C2311yescharacteristic
477#97×C53C2311yescharacteristic
478C23×D53—21no—
479C23×D53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53C2411yescharacteristic
482C2×Q8×C53C2411yescharacteristic
483C2×D4×C53C2×D411yescharacteristic
484C22×C4×C53—21no—
485C22×C4×C53C2411yescharacteristic
486C22×C4×C53C2411yescharacteristic
487C2×C22⋊D53—21no—
488C2×C22⋊D53—21no—
489C2×C22⋊D53—21no—
490C2×C22⋊D53—21no—
491C2×C22⋊D53C2×D411yescharacteristic
492C2×C22⋊D53C2×D411yescharacteristic
493C22×Dic53—21no—
494C22×Dic53C2×D411yescharacteristic
495C22×Dic53C2×D411yescharacteristic
496#11719949—22no—
497#11719949—41no—
498D4×D53—82no—
499#11719945—82no—
500C2×D212—22no—
501C2×D212—22no—
502C2×D212—21no—
503C2×D212—21no—
504C2×D212—21no—
505C2×D212—21no—
506C2×D212—21no—
507C2×D212—21no—
508C2×D212—21no—
509C2×D212—21no—
510C2×D212—41no—
511C2×D212—41no—
512C2×D212C2411yescharacteristic
513C2×D212C2411yescharacteristic
514C2×D212C2411yescharacteristic
515C2×D212C2411yescharacteristic
516C2×C4×D53—21no—
517C2×C4×D53—21no—
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—82no—
531C2×C4×D53C2411yescharacteristic
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106—21no—
535C2×Dic106—21no—
536C2×Dic106C2×D411yescharacteristic
537Q16×C53—41no—
538M16×C53—41no—
539C2×C8×C53—41no—
540C2×C8×C53C2411yescharacteristic
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C2×C8×C53C2411yescharacteristic
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53—21no—
554C4⋊C4×C53C2×D411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C4⋊C4×C53C2411yescharacteristic
559C4⋊C4×C53C2411yescharacteristic
560C4⋊C4×C53C2411yescharacteristic
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53—21no—
567C22⋊C4×C53—21no—
568C22⋊C4×C53C2×D411yescharacteristic
569C22⋊C4×C53C2×D411yescharacteristic
570C42×C53—21no—
571C42×C53—21no—
572C42×C53—21no—
573C42×C53—21no—
574C42×C53—21no—
575C42×C53C2411yescharacteristic
576C22⋊Dic53—21no—
577C22⋊Dic53C2×D411yescharacteristic
578C22⋊Dic53C2×D411yescharacteristic
579C22⋊Dic53C2×D411yescharacteristic
580C22⋊Dic53C2×D411yescharacteristic
581#11719924—22no—
582#11719924—41no—
583#11719924—41no—
584#11719924—41no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921—21no—
610#11719921—21no—
611#11719921C2×D411yescharacteristic
612#11719921C2×D411yescharacteristic
613#11719921C2×D411yescharacteristic
614#11719921C2×D411yescharacteristic
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53—21no—
621C4⋊Dic53—21no—
622C4⋊Dic53—21no—
623C4⋊Dic53—21no—
624C4⋊Dic53C2×D411yescharacteristic
625C4⋊Dic53C2×D411yescharacteristic
626C4⋊Dic53C2×D411yescharacteristic
627C4⋊Dic53C2411yescharacteristic
628C4⋊Dic53C2411yescharacteristic
629C4⋊Dic53C2411yescharacteristic
630C4⋊Dic53C2411yescharacteristic
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648#11719919C2×D411yescharacteristic
649#11719919C2×D411yescharacteristic
650#11719919C2×D411yescharacteristic
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53C2×D411yescharacteristic
657C4×Dic53C2×D411yescharacteristic
658C4×Dic53C2411yescharacteristic
659C4×Dic53C2411yescharacteristic
660C4×Dic53C2411yescharacteristic
661#11719917—41no—
662#11719917—41no—
663C2×#88322C2411yescharacteristic
664C2×#88322C2411yescharacteristic
665C2×#88322C2411yescharacteristic
666C2×#88322C2411yescharacteristic
667D424—22no—
668D424—41no—
669D424—41no—
670#11719912—41no—
671C8×D53—41no—
672C23×C53C22×D411yescharacteristic
673C23×C53C22×D411yescharacteristic
674C22×D53—21no—
675C22×D53—21no—
676C22×D53—21no—
677C22×D53—21no—
678C22×D53—42no—
679C22×D53—42no—
680C22×D53—42no—
681C22×D53—81no—
682C22×D53—81no—
683C22×D53—81no—
684C22×D53C22×D411yescharacteristic
685Q8×C53—21no—
686Q8×C53—21no—
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—81no—
690D4×C53—41no—
691C2×C4×C53—21no—
692C2×C4×C53—21no—
693C2×C4×C53—21no—
694C2×C4×C53—21no—
695C2×C4×C53—21no—
696C2×C4×C53—21no—
697C2×C4×C53—21no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—42no—
704C2×C4×C53C22×D411yescharacteristic
705C2×C4×C53C22×D411yescharacteristic
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C2511yescharacteristic
709C22⋊D53—41no—
710C22⋊D53—41no—
711C22⋊D53—42no—
712C22⋊D53—81no—
713C22⋊D53—81no—
714C22⋊D53—81no—
715C2×Dic53—21no—
716C2×Dic53—21no—
717C2×Dic53—21no—
718C2×Dic53—21no—
719C2×Dic53—41no—
720C2×Dic53—41no—
721C2×Dic53—81no—
722C2×Dic53C22×D411yescharacteristic
723C2×Dic53C22×D411yescharacteristic
724C2×Dic53C22×D411yescharacteristic
725C2×Dic53C22×D411yescharacteristic
726C2×Dic53C22×D411yescharacteristic
727C2×Dic53C22×D411yescharacteristic
728C2×Dic53C22×D411yescharacteristic
729D212—21no—
730D212—21no—
731D212—21no—
732D212—21no—
733D212—21no—
734D212—21no—
735D212—21no—
736D212—42no—
737D212—42no—
738D212—42no—
739D212—81no—
740D212—81no—
741D212—81no—
742D212—81no—
743D212—81no—
744D2122−1+412yes—
745C4×D53—21no—
746C4×D53—21no—
747C4×D53—42no—
748C4×D53—81no—
749C4×D53—81no—
750C4×D53—81no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758C4×D53—81no—
759C4×D53—81no—
760C4×D53—81no—
761Dic106—41no—
762Dic106—81no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—21no—
778C22×C53—21no—
779C22×C53—21no—
780C22×C53—21no—
781C22×C53C23×D411yescharacteristic
782C2×D53—21no—
783C2×D53—21no—
784C2×D53—21no—
785C2×D53—22no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—41no—
789C2×D53—41no—
790C2×D53—41no—
791C2×D53—41no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—84no—
798C2×D53—162no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53—41no—
811C4×C53C2×2−1+411yescharacteristic
812C4×C53#58511yescharacteristic
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—21no—
819Dic53—21no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349D5311yescharacteristic, complemented
834#3343—531no—
835#3339—531no—
836#3324—531no—
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081—531no—
853#3077—531no—
854#2993—531no—
855C2×C53—41no—
856C2×C53—41no—
857C2×C53#348911yescharacteristic
858C2×C53#358411yescharacteristic
859C2×C53#358511yescharacteristic
860D53—41no—
861D53—42no—
862D53—81no—
863D53—81no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—1061no—
870#556C2×D5311yescharacteristic
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—1061no—
881#552C2×D5311yescharacteristic
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—531no—
887#546—1061no—
888D42—531no—
889#544—531no—
890#544—531no—
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518—531no—
909C2×C4×D4—531no—
910#501—531no—
911#501C2×D5311yescharacteristic, complemented
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#486—531no—
922#485—531no—
923#485C2×D5311yescharacteristic, complemented
924#485C2×D5311yescharacteristic, complemented
925#485C2×D5311yescharacteristic, complemented
926#484C2×D5311yescharacteristic, complemented
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482—531no—
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479C2×D5311yescharacteristic, complemented
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478—531no—
953#478—531no—
954#478—531no—
955#478—531no—
956#477—531no—
957#477—531no—
958#477C2×D5311yescharacteristic, complemented
959#476—531no—
960#476—531no—
961#476—531no—
962#476—531no—
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474—531no—
969#474—531no—
970#470C2×D5311yescharacteristic, complemented
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468—531no—
978#467C2×D5311yescharacteristic, complemented
979#466—531no—
980#466—531no—
981#465—531no—
982#464—531no—
983#464—531no—
984#464—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460—531no—
991#459—531no—
992#452—531no—
993#450—531no—
994#450—531no—
995#449—531no—
996#447—531no—
997#447—531no—
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441C2×D5311yescharacteristic, complemented
1003#440—531no—
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16—531no—
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435C2×D5311yescharacteristic
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428C2×D5311yescharacteristic, complemented
1025#427C2×D5311yescharacteristic, complemented
1026C2×#107—531no—
1027#424—531no—
1028#424—531no—
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418—531no—
1033#417—531no—
1034#416—531no—
1035C2×#102—531no—
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
1039C22×D4—531no—
1040C22×D4—531no—
1041C22×D4—1061no—
1042C23×C4—1061no—
1043C2×Q16C22×D5311yescharacteristic
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16C22×D5311yescharacteristic
1055C22×C8—531no—
1056C22×C8C22×D5311yescharacteristic
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8C22×D5311yescharacteristic
1065#127—531no—
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—531no—
1070#126—531no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#125—21no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—531no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125—1061no—
1095#125C22×D5311yescharacteristic
1096#124—21no—
1097#124—531no—
1098#124—531no—
1099#124—531no—
1100#124—531no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124—1061no—
1107#123—21no—
1108#123—531no—
1109#123—531no—
1110#123—1061no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—531no—
1129C22⋊Q8—531no—
1130C22⋊Q8—1061no—
1131C22⋊Q8—1061no—
1132C22⋊Q8—1061no—
1133C22⋊Q8—1061no—
1134C22⋊Q8—1061no—
1135C22⋊Q8—1061no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8C22×D5311yescharacteristic
1147C22⋊Q8C22×D5311yescharacteristic
1148C22⋊Q8C22×D5311yescharacteristic
1149C22⋊Q8C22×D5311yescharacteristic
1150#121—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—531no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121—1061no—
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—21no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—1061no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8C22×D5311yescharacteristic
1180C4×Q8C22×D5311yescharacteristic
1181C4×D4—531no—
1182C4×D4—531no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—531no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4C22×D5311yescharacteristic
1207#117—21no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—531no—
1212#117—1061no—
1213#117—1061no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117C22×D5311yescharacteristic
1219#117C22×D5311yescharacteristic
1220#117C22×D5311yescharacteristic
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107C22×D5311yescharacteristic
1242#107C22×D5311yescharacteristic
1243#107C22×D5311yescharacteristic
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106C22×D5311yescharacteristic
1255#106C22×D5311yescharacteristic
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8—531no—
1265C4⋊C8—531no—
1266C4⋊C8—531no—
1267C4⋊C8C22×D5311yescharacteristic
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103C22×D5311yescharacteristic
1273#103C22×D5311yescharacteristic
1274#103C22×D5311yescharacteristic
1275#103C22×D5311yescharacteristic
1276#103C22×D5311yescharacteristic
1277#103C22×D5311yescharacteristic
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102—531no—
1295#102—531no—
1296#102—531no—
1297#102—531no—
1298#102—531no—
1299#102—531no—
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8C22×D5311yescharacteristic
1305C22⋊C8C22×D5311yescharacteristic
1306#97—531no—
1307#97C22×D5311yescharacteristic
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8—531no—
1312C24—1061no—
1313C24—1061no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
1317C2×Q8—21no—
1318C2×Q8—531no—
1319C2×Q8—1061no—
1320C2×Q8—1061no—
1321C2×Q8—1061no—
1322C2×Q8—1061no—
1323C2×Q8C23×D5311yescharacteristic
1324C2×Q8C23×D5311yescharacteristic
1325C2×D4—531no—
1326C2×D4—531no—
1327C2×D4—531no—
1328C2×D4—531no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—1062no—
1332C2×D4—1062no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1061no—
1339C2×D4—1061no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—1061no—
1345C2×D4—4242no—
1346C2×D4—2121no—
1347C2×D4—2121no—
1348C2×D4D4×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—531no—
1351C22×C4—531no—
1352C22×C4—531no—
1353C22×C4—1061no—
1354C22×C4—1061no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—4242no—
1369C22×C4C23×D5311yescharacteristic
1370C22×C4C23×D5311yescharacteristic
1371Q16—41no—
1372SD16—1062no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—41no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—41no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—2121no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—531no—
1413C4⋊C4—531no—
1414C4⋊C4—531no—
1415C4⋊C4—531no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4D4×D5311yescharacteristic
1440C4⋊C4C23×D5311yescharacteristic
1441C4⋊C4C23×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—531no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—531no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—531no—
1496C42—531no—
1497C42—531no—
1498C42—531no—
1499C42—531no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42C23×D5311yescharacteristic
1506C23—531no—
1507C23—1061no—
1508C23—1061no—
1509C23—1061no—
1510C23—1061no—
1511C23—4241no—
1512C23—4241no—
1513C23—4241no—
1514C23—2122no—
1515C23—2122no—
1516C23—2122no—
1517C23C2×D4×D5311yescharacteristic
1518C23C2×D4×D5311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—4241no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—41no—
1530D4—532no—
1531D4—1061no—
1532D4—1061no—
1533D4—1061no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—1061no—
1538D4—4241no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—4241no—
1546D4—2122no—
1547D4—2122no—
1548D4—2122no—
1549D4—2121no—
1550D4—2121no—
1551D4—2122no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—42no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—531no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—4241no—
1579C2×C4—4241no—
1580C2×C4—4241no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—4241no—
1591C2×C4—4241no—
1592C2×C4—2122no—
1593C2×C4—2121no—
1594C2×C4—2121no—
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—8482no—
1615C22—1061no—
1616C22—1062no—
1617C22—1061no—
1618C22—1061no—
1619C22—4244no—
1620C22—2121no—
1621C22—2121no—
1622C22—2121no—
1623C22—2121no—
1624C22—2121no—
1625C22—2121no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—1061no—
1650C4—1061no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C42−1+4×D5311yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—4241no—
1660C2—4241no—
1661C2—4241no—
1662C2—2122no—
1663C2—2121no—
1664C2#2028838911yescharacteristic
1665C2#2028948511yescharacteristic
1666C2#2028949211yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3349C2
socleC22×C53C23×D4
hypercenter#3349D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3349

Complements

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

NH ≅ G/Ntype
1. #20289346C2semidirect
2. #20288660C2semidirect
3. #20287670C2semidirect
4. #20287593C2semidirect
5. #20287484C2semidirect
6. #20287374C2semidirect
7. #20287306C2semidirect
8. #20287275C2semidirect
9. #20287273C2semidirect
10. #20287158C2semidirect
11. #20287117C2semidirect
12. #20286940C2semidirect
13. #20286937C2semidirect
14. #20286914C2semidirect
15. #20286874C2semidirect
16. #20286858C2semidirect
17. #20286556C2semidirect
18. #20286177C2semidirect
19. #20286132C2semidirect
20. #20286117C2semidirect
21. #20286019C2semidirect
22. #20285969C2semidirect
23. #20285897C2semidirect
24. #20284990C2semidirect
25. #20284902C2semidirect
26. #20284765C2semidirect
27. #20284563C2semidirect
28. #20284549C2semidirect
29. #20284511C2semidirect
30. #20283857C2semidirect
31. C53×#3349C2semidirect
35. #16811349C22semidirect
37. #16811336C22semidirect
38. #16811334C22semidirect
43. #16811317C22semidirect
44. #16811315C22semidirect
46. #16811307C22semidirect
54. #16811251C22semidirect
55. #16811250C22semidirect
57. #16811246C22semidirect
58. #16811245C22semidirect
66. #16811176C22semidirect
68. #16811159C22semidirect
75. #16811031C22semidirect
76. #16811024C22semidirect
77. #16811023C22semidirect
78. #16811022C22semidirect
79. #16811020C22semidirect
81. #16810984C22semidirect
82. #16810979C22semidirect
83. #16810979C22semidirect
84. #16810979C22semidirect
86. #16810961C22semidirect
87. #16810952C22semidirect
88. #16810951C22semidirect
89. #16810950C22semidirect
90. #16810949C22semidirect
94. #16810947C22semidirect
95. #16810943C22semidirect
96. #16810943C22semidirect
98. #16810941C22semidirect
99. #16810938C22semidirect
100. #16810930C22semidirect
101. #16810928C22semidirect
102. #16810928C22semidirect
105. #16810926C22semidirect
106. #16810926C22semidirect
107. #16810926C22semidirect
111. #16810922C22semidirect
112. #16810922C22semidirect
113. #16810922C22semidirect
114. #16810920C22semidirect
115. #16810916C22semidirect
116. #16810916C22semidirect
118. #16810912C22semidirect
119. #16810912C22semidirect
120. #16810912C22semidirect
121. #16810906C22semidirect
124. #16810902C22semidirect
125. #16810902C22semidirect
126. #16810902C22semidirect
128. #16810877C22semidirect
130. #16810872C22semidirect
133. #16810871C22semidirect
134. #16810871C22semidirect
135. #16810860C22semidirect
137. #16810855C22semidirect
138. #16810847C22semidirect
139. #16810847C22semidirect
140. #16810847C22semidirect
142. #16810841C22semidirect
143. #16810841C22semidirect
144. #16810841C22semidirect
145. #16810841C22semidirect
154. #16810751C22semidirect
155. #16810747C22semidirect
158. #16810726C22semidirect
160. C4×#11719924C22semidirect
163. #16810708C22semidirect
165. #16810705C22semidirect
166. #16810705C22semidirect
168. #16810699C22semidirect
169. #16810698C22semidirect
170. #16810697C22semidirect
171. C8×C22⋊D53C22semidirect
172. #16810685C22semidirect
173. #16810681C22semidirect
174. #16810673C22semidirect
175. #16810666C22semidirect
176. #16810664C22semidirect
177. #16810663C22semidirect
178. #107×D53C22semidirect
179. #16810649C22semidirect
180. #16810648C22semidirect
181. #16810646C22semidirect
190. C53×#501C22semidirect
191. C53×#485C22semidirect
192. C53×#485C22semidirect
193. C53×#485C22semidirect
194. C53×#484C22semidirect
195. C53×#479C22semidirect
196. C53×#477C22semidirect
197. C53×#470C22semidirect
198. C53×#467C22semidirect
199. C53×#441C22semidirect
201. C53×#428C22semidirect
202. C53×#427C22semidirect
833. #3349D53semidirect
911. #501C2×D53semidirect
923. #485C2×D53semidirect
924. #485C2×D53semidirect
925. #485C2×D53semidirect
926. #484C2×D53semidirect
943. #479C2×D53semidirect
958. #477C2×D53semidirect
970. #470C2×D53semidirect
978. #467C2×D53semidirect
1002. #441C2×D53semidirect
1024. #428C2×D53semidirect
1025. #427C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893462
#202886602
#202876702
#202875932
#202874842
#202873742
#202873062
#202872752
#202872732
#202871582
#202871172
#202869402
#202869372
#202869142
#202868742
#202868582
#202865562
#202861772
#202861322
#202861172
#202860192
#202859692
#202858972
#202849902
#202849022
#202847652
#202845632
#202845492
#202845112
#202838572
C53×#33492
#6217553