Finite Group Databasebeta

← #28279566

Subgroups — #28279566

Order 13568.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289281C211yesmaximal, characteristic, complemented
2#20288723C211yesmaximal, characteristic, complemented
3#20287794C211yesmaximal, characteristic, complemented
4#20287791C211yesmaximal, characteristic, complemented
5#20287459C211yesmaximal, characteristic, complemented
6#20287456C211yesmaximal, characteristic, complemented
7#20286998C211yesmaximal, characteristic, complemented
8#20286991C211yesmaximal, characteristic, complemented
9#20286907C211yesmaximal, characteristic, complemented
10#20286894C211yesmaximal, characteristic, complemented
11#20286753C211yesmaximal, characteristic, complemented
12#20286746C211yesmaximal, characteristic, complemented
13#20286347C211yesmaximal, characteristic, complemented
14#20286339C211yesmaximal, characteristic, complemented
15#20286288C211yesmaximal, characteristic, complemented
16#20286285C211yesmaximal, characteristic, complemented
17#20286279C211yesmaximal, characteristic, complemented
18#20286183C211yesmaximal, characteristic, complemented
19#20286179C211yesmaximal, characteristic, complemented
20#20286105C211yesmaximal, characteristic, complemented
21#20285822C211yesmaximal, characteristic, complemented
22#20285819C211yesmaximal, characteristic, complemented
23#20285717C211yesmaximal, characteristic, complemented
24#20284948C211yesmaximal, characteristic, complemented
25#20284945C211yesmaximal, characteristic, complemented
26#20284870C211yesmaximal, characteristic, complemented
27#20284242C211yesmaximal, characteristic, complemented
28#20284240C211yesmaximal, characteristic, complemented
29#20284211C211yesmaximal, characteristic, complemented
30#20283886C211yesmaximal, characteristic, complemented
31C53×#3270C211yesmaximal, characteristic, complemented
32C2×#13133249C2211yescharacteristic
33C2×#13133248C2211yescharacteristic
34C2×#13133242C2211yescharacteristic
35C2×Q16×D53C2211yescharacteristic, complemented
36#16811372—21no—
37#16811369—21no—
38Q8×Dic106C2211yescharacteristic, complemented
39#16811347C2211yescharacteristic
40#16811345C2211yescharacteristic
41#16811344—21no—
42#16811344C2211yescharacteristic
43#16811343—21no—
44#16811343C2211yescharacteristic
45#16811342—21no—
46#16811342C2211yescharacteristic, complemented
47#16811337—21no—
48#16811337C2211yescharacteristic, complemented
49#16811302—21no—
50#16811300—21no—
51Q8×C22⋊D53C2211yescharacteristic
52Q8×C22⋊D53C2211yescharacteristic, complemented
53#16811284C2211yescharacteristic
54#16811283C2211yescharacteristic
55#16811280C2211yescharacteristic
56#16811269C2211yescharacteristic
57#16811264C2211yescharacteristic
58#16811248—21no—
59#16811247—21no—
60#16811246C2211yescharacteristic
61#16811245C2211yescharacteristic
62#16811243—21no—
63#16811242—21no—
64#16811242C2211yescharacteristic, complemented
65#16811240—21no—
66#16811240C2211yescharacteristic, complemented
67#16811206—21no—
68#16811198C2211yescharacteristic
69#16811197C2211yescharacteristic
70#16811175—21no—
71#16811175C2211yescharacteristic
72#16811175C2211yescharacteristic
73#16811153—21no—
74#16811153C2211yescharacteristic
75C2×#13133206C2211yescharacteristic
76#16811101C2211yescharacteristic, complemented
77#16811099C2211yescharacteristic, complemented
78#41×Dic53C2211yescharacteristic
79#16811016C2211yescharacteristic
80#16811016C2211yescharacteristic
81#16811014C2211yescharacteristic, complemented
82#16811005C2211yescharacteristic
83#16811004C2211yescharacteristic
84#16810984C2211yescharacteristic
85#16810984C2211yescharacteristic
86#16810984C2211yescharacteristic
87#16810983C2211yescharacteristic
88#16810973C2211yescharacteristic, complemented
89#16810972C2211yescharacteristic, complemented
90#16810965C2211yescharacteristic
91#16810963C2211yescharacteristic, complemented
92#16810961C2211yescharacteristic
93#16810961C2211yescharacteristic, complemented
94#16810949C2211yescharacteristic
95#16810948C2211yescharacteristic
96#16810916C2211yescharacteristic, complemented
97#16810914C2211yescharacteristic
98#16810912C2211yescharacteristic
99#16810911C2211yescharacteristic, complemented
100#16810908C2211yescharacteristic, complemented
101#16810907C2211yescharacteristic, complemented
102#16810907C2211yescharacteristic, complemented
103#16810906C2211yescharacteristic, complemented
104#16810906C2211yescharacteristic, complemented
105#16810906C2211yescharacteristic, complemented
106#16810881C2211yescharacteristic
107#16810879C2211yescharacteristic
108#16810879C2211yescharacteristic
109#16810879C2211yescharacteristic, complemented
110#16810878C2211yescharacteristic, complemented
111#16810875C2211yescharacteristic
112#16810874C2211yescharacteristic
113#16810855C2211yescharacteristic
114#16810852C2211yescharacteristic
115#16810849C2211yescharacteristic, complemented
116#16810848C2211yescharacteristic
117#16810848C2211yescharacteristic
118#16810847C2211yescharacteristic
119#16810847C2211yescharacteristic
120#16810847C2211yescharacteristic
121#16810847C2211yescharacteristic
122#16810847C2211yescharacteristic
123#16810847C2211yescharacteristic
124#16810847C2211yescharacteristic
125#16810847C2211yescharacteristic
126#16810846C2211yescharacteristic
127#16810845C2211yescharacteristic
128#16810843C2211yescharacteristic, complemented
129#16810840C2211yescharacteristic
130#16810840C2211yescharacteristic
131#16810840C2211yescharacteristic
132#16810840C2211yescharacteristic
133#16810837C2211yescharacteristic
134#16810835C2211yescharacteristic
135#16810832C2211yescharacteristic, complemented
136#16810832C2211yescharacteristic, complemented
137#16810831C2211yescharacteristic, complemented
138#16810831C2211yescharacteristic, complemented
139#16810831C2211yescharacteristic, complemented
140#16810831C2211yescharacteristic, complemented
141#16810831C2211yescharacteristic, complemented
142#16810830C2211yescharacteristic, complemented
143#16810826C2211yescharacteristic, complemented
144#16810787C2211yescharacteristic
145#16810785C2211yescharacteristic
146#16810784C2211yescharacteristic
147#16810779C2211yescharacteristic
148#16810779C2211yescharacteristic, complemented
149#16810777C2211yescharacteristic, complemented
150#16810777C2211yescharacteristic, complemented
151#16810776C2211yescharacteristic
152#16810773C2211yescharacteristic
153#16810767C2211yescharacteristic
154#16810766C2211yescharacteristic
155#16810763C2211yescharacteristic
156#16810762C2211yescharacteristic
157#16810760C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159#16810750C2211yescharacteristic, complemented
160#16810730C2211yescharacteristic, complemented
161#16810730C2211yescharacteristic, complemented
162#16810727C2211yescharacteristic, complemented
163#16810726C2211yescharacteristic
164#16810725C2211yescharacteristic
165#16810724C2211yescharacteristic, complemented
166#16810720C2211yescharacteristic, complemented
167Q16×Dic53C2211yescharacteristic, complemented
168C4×#11719925C2211yescharacteristic, complemented
169C4×#11719924C2211yescharacteristic
170#16810708C2211yescharacteristic
171#16810701C2211yescharacteristic
172#16810698C2211yescharacteristic
173#16810697C2211yescharacteristic, complemented
174#16810694C2211yescharacteristic, complemented
175#16810692C2211yescharacteristic
176#16810685C2211yescharacteristic, complemented
177#16810681C2211yescharacteristic, complemented
178#16810677C2211yescharacteristic
179#16810649C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810646C2211yescharacteristic
182#16810632C2211yescharacteristic
183#16810632C2211yescharacteristic, complemented
184#16810630C2211yescharacteristic, complemented
185#16810629C2211yescharacteristic
186#16810620C2211yescharacteristic
187#16810618C2211yescharacteristic
188C2×#137×C53C2211yescharacteristic
189C22×Q16×C53C2211yescharacteristic, complemented
190D4×Q8×C53C2211yescharacteristic
191C53×#548C2211yescharacteristic
192C53×#497C2211yescharacteristic, complemented
193C53×#470C2211yescharacteristic
194C53×#465C2211yescharacteristic, complemented
195C53×#464C2211yescharacteristic, complemented
196C53×#462C2211yescharacteristic, complemented
197C53×#452C2211yescharacteristic
198C53×#451C2211yescharacteristic
199C53×#451C2211yescharacteristic, complemented
200C53×#448C2211yescharacteristic, complemented
201C53×#441C2211yescharacteristic, complemented
202C53×#435C2211yescharacteristic
203C2×#11719949C2311yescharacteristic
204C2×#11719945C2311yescharacteristic
205C2×Q8×D53C2311yescharacteristic
206C2×Q8×D53C2311yescharacteristic
207C22×D212C2311yescharacteristic
208#13133249—42no—
209#13133248—42no—
210#13133242—42no—
211C2×Dic212C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719925C2311yescharacteristic
215C2×#11719925C2311yescharacteristic
216C2×#11719925C2311yescharacteristic
217Q16×D53—42no—
218C2×#11719913C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×#11719924C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×#11719924C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227C2×#11719917C2311yescharacteristic
228C2×#11719917C2311yescharacteristic
229C2×#11719912C2311yescharacteristic
230C2×C8×D53C2311yescharacteristic
231#13133217—21no—
232#13133217C2311yescharacteristic
233#13133216—21no—
234#13133216—21no—
235#13133216C2311yescharacteristic
236#13133216C2311yescharacteristic
237#13133216C2311yescharacteristic
238#13133215—21no—
239#13133215—21no—
240#13133215C2311yescharacteristic
241#13133215C2311yescharacteristic
242#13133215C2311yescharacteristic
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212D411yescharacteristic
249#13133211—21no—
250#13133211—21no—
251#13133210—21no—
252#13133210—21no—
253#13133210—21no—
254#13133210—21no—
255#13133210—21no—
256#13133210—21no—
257#13133210—21no—
258#13133210D411yescharacteristic
259#13133207—21no—
260#13133207—21no—
261#13133207D411yescharacteristic
262#13133206—21no—
263#13133206—21no—
264#13133206—21no—
265#13133206C2311yescharacteristic
266#13133206C2311yescharacteristic
267#13133206C2311yescharacteristic
268#13133206C2311yescharacteristic
269#13133206C2311yescharacteristic
270#13133205—21no—
271#13133205C2311yescharacteristic
272#13133204—21no—
273#13133204—21no—
274#13133204—21no—
275#13133204—21no—
276#13133204C2311yescharacteristic
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203D411yescharacteristic
283#13133202—21no—
284#13133202—21no—
285#13133202—21no—
286#13133202—21no—
287#13133202—21no—
288#13133201—21no—
289#13133201D411yescharacteristic
290#13133200—21no—
291#13133200—21no—
292#13133199—21no—
293#13133198—21no—
294#13133198D411yescharacteristic
295#13133197—21no—
296#13133197—21no—
297#13133196—21no—
298#13133196—21no—
299#13133196—21no—
300#13133196C2311yescharacteristic
301#13133196C2311yescharacteristic
302#13133196C2311yescharacteristic
303#13133195—21no—
304#13133195—21no—
305#13133195—21no—
306#13133195—21no—
307#13133195—21no—
308#13133194—21no—
309#13133194—21no—
310#13133194—21no—
311#13133194—21no—
312#13133194—21no—
313#13133194D411yescharacteristic
314#13133193—21no—
315#13133193—21no—
316#13133193—21no—
317#13133193—21no—
318#13133193—21no—
319#13133193C2311yescharacteristic
320#13133193C2311yescharacteristic
321#13133192—21no—
322#13133192C2311yescharacteristic
323#13133191—21no—
324#13133191C2311yescharacteristic
325#13133190—21no—
326#13133190—21no—
327#13133189—21no—
328#13133189D411yescharacteristic
329#13133188—21no—
330#13133188C2311yescharacteristic
331#13133187—21no—
332#13133185—21no—
333Q8×Dic53—21no—
334Q8×Dic53—21no—
335Q8×Dic53C2311yescharacteristic
336Q8×Dic53C2311yescharacteristic
337Q8×Dic53C2311yescharacteristic
338Q8×Dic53C2311yescharacteristic
339Q8×Dic53C2311yescharacteristic
340Q8×Dic53C2311yescharacteristic
341Q8×Dic53C2311yescharacteristic
342C4×Dic106—21no—
343C4×Dic106—21no—
344C4×Dic106C2311yescharacteristic
345C4×Dic106C2311yescharacteristic
346#13133182—21no—
347#13133182—21no—
348#13133182—21no—
349#13133182—21no—
350#13133182—21no—
351#13133182C2311yescharacteristic
352#13133182C2311yescharacteristic
353C4×D212C2311yescharacteristic
354D4×Dic53—21no—
355D4×Dic53—21no—
356D4×Dic53C2311yescharacteristic
357D4×Dic53C2311yescharacteristic
358#13133179—21no—
359#13133179C2311yescharacteristic
360C4×C22⋊D53—21no—
361C4×C22⋊D53—21no—
362C4×C22⋊D53—21no—
363C4×C22⋊D53—21no—
364C4×C22⋊D53C2311yescharacteristic
365C4×C22⋊D53C2311yescharacteristic
366#13133176—21no—
367#13133176—21no—
368#13133176—21no—
369#13133176C2311yescharacteristic
370#13133176C2311yescharacteristic
371#13133176C2311yescharacteristic
372#13133175—21no—
373#13133175—21no—
374#13133175C2311yescharacteristic
375#13133174—21no—
376#13133174—21no—
377#13133174C2311yescharacteristic
378#13133173—21no—
379#13133173—21no—
380#13133173—21no—
381#13133173—21no—
382C2×#11719921—21no—
383C2×#11719921—21no—
384C22⋊C4×D53—21no—
385C22⋊C4×D53—21no—
386C2×C4×Dic53—21no—
387C2×C4×Dic53C2311yescharacteristic
388#13133151C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133149C2311yescharacteristic
391#13133149C2311yescharacteristic
392#13133148C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133141C2311yescharacteristic
410#13133141C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133141C2311yescharacteristic
416#13133141C2311yescharacteristic
417#13133141C2311yescharacteristic
418#13133141C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133140C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133139C2311yescharacteristic
427#13133138C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431C22⋊#88322C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133127C2311yescharacteristic
435#13133127C2311yescharacteristic
436#13133127C2311yescharacteristic
437C4×#88322C2311yescharacteristic
438C8×Dic53C2311yescharacteristic
439C2×#41×C53C2311yescharacteristic
440C22×Q8×C53C2311yescharacteristic
441C22×Q8×C53C2311yescharacteristic
442C22×Q8×C53C2311yescharacteristic
443#137×C53—42no—
444C2×Q16×C53—42no—
445C2×Q16×C53C2311yescharacteristic
446C2×Q16×C53C2311yescharacteristic
447C2×Q16×C53C2311yescharacteristic
448C2×Q16×C53C2311yescharacteristic
449C2×Q16×C53C2311yescharacteristic
450C2×Q16×C53C2311yescharacteristic
451C2×SD16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×SD16×C53C2311yescharacteristic
454C2×M16×C53C2311yescharacteristic
455C22×C8×C53C2311yescharacteristic
456C4⋊Q8×C53—21no—
457C4⋊Q8×C53C2311yescharacteristic
458#124×C53—21no—
459#124×C53C2311yescharacteristic
460C22⋊Q8×C53—21no—
461C22⋊Q8×C53—21no—
462C22⋊Q8×C53—21no—
463C22⋊Q8×C53C2311yescharacteristic
464C22⋊Q8×C53C2311yescharacteristic
465C22⋊Q8×C53C2311yescharacteristic
466#121×C53—21no—
467#121×C53C2311yescharacteristic
468C4×Q8×C53C2311yescharacteristic
469C4×Q8×C53C2311yescharacteristic
470C4×D4×C53—21no—
471C4×D4×C53—21no—
472C4×D4×C53C2311yescharacteristic
473#106×C53C2311yescharacteristic
474C4⋊C8×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482C22⋊C8×C53C2311yescharacteristic
483#97×C53C2311yescharacteristic
484C23×D53—21no—
485#41×C53—22no—
486#41×C53—41no—
487C2×Q8×C53—21no—
488C2×Q8×C53—21no—
489C2×Q8×C53—21no—
490C2×Q8×C53—22no—
491C2×Q8×C53—41no—
492C2×Q8×C53—41no—
493C2×Q8×C53—41no—
494C2×Q8×C53—41no—
495C2×Q8×C53—41no—
496C2×Q8×C53C2411yescharacteristic
497C2×Q8×C53C2411yescharacteristic
498C2×Q8×C53C2411yescharacteristic
499C2×Q8×C53C2411yescharacteristic
500C2×Q8×C53C2411yescharacteristic
501C2×D4×C53—21no—
502C2×D4×C53—21no—
503C2×D4×C53C2×D411yescharacteristic
504C2×D4×C53C2411yescharacteristic
505C22×C4×C53—21no—
506C22×C4×C53—21no—
507C22×C4×C53—21no—
508C22×C4×C53—21no—
509C22×C4×C53C2411yescharacteristic
510C22×C4×C53C2411yescharacteristic
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53C2×D411yescharacteristic
515C2×C22⋊D53C2×D411yescharacteristic
516C22×Dic53—21no—
517C22×Dic53—21no—
518C22×Dic53C2×D411yescharacteristic
519C22×Dic53C2×D411yescharacteristic
520#11719949—41no—
521#11719949—41no—
522Q8×D53—22no—
523Q8×D53—41no—
524Q8×D53—41no—
525Q8×D53—41no—
526#11719945—41no—
527#11719945—41no—
528C2×D212—21no—
529C2×D212—21no—
530C2×D212—21no—
531C2×D212—41no—
532C2×D212—41no—
533C2×D212C2411yescharacteristic
534C2×D212C2411yescharacteristic
535C2×C4×D53—21no—
536C2×C4×D53—21no—
537C2×C4×D53—21no—
538C2×C4×D53—21no—
539C2×C4×D53—21no—
540C2×C4×D53—21no—
541C2×C4×D53C2411yescharacteristic
542C2×Dic106—21no—
543C2×Dic106—21no—
544C2×Dic106—21no—
545C2×Dic106—21no—
546C2×Dic106—21no—
547C2×Dic106—21no—
548C2×Dic106C2×D411yescharacteristic
549C2×Dic106C2411yescharacteristic
550C2×Dic106C2411yescharacteristic
551Q16×C53—22no—
552Q16×C53—22no—
553Q16×C53—22no—
554Q16×C53—41no—
555Q16×C53—41no—
556Q16×C53—41no—
557SD16×C53—41no—
558SD16×C53—41no—
559SD16×C53—41no—
560M16×C53—41no—
561C2×C8×C53—41no—
562C2×C8×C53C2411yescharacteristic
563C2×C8×C53C2411yescharacteristic
564C2×C8×C53C2411yescharacteristic
565C2×C8×C53C2411yescharacteristic
566C4⋊C4×C53—21no—
567C4⋊C4×C53—21no—
568C4⋊C4×C53—21no—
569C4⋊C4×C53—21no—
570C4⋊C4×C53—21no—
571C4⋊C4×C53—21no—
572C4⋊C4×C53—21no—
573C4⋊C4×C53C2×D411yescharacteristic
574C4⋊C4×C53C2411yescharacteristic
575C4⋊C4×C53C2411yescharacteristic
576C22⋊C4×C53—21no—
577C22⋊C4×C53—21no—
578C22⋊C4×C53—21no—
579C22⋊C4×C53—21no—
580C22⋊C4×C53—21no—
581C22⋊C4×C53—21no—
582C22⋊C4×C53C2×D411yescharacteristic
583C22⋊C4×C53C2×D411yescharacteristic
584C42×C53—21no—
585C42×C53—21no—
586C42×C53C2411yescharacteristic
587C22⋊Dic53—21no—
588C22⋊Dic53—21no—
589C22⋊Dic53—21no—
590C22⋊Dic53—21no—
591C22⋊Dic53—21no—
592C22⋊Dic53—21no—
593C22⋊Dic53—21no—
594C22⋊Dic53—21no—
595C22⋊Dic53—21no—
596C22⋊Dic53—21no—
597C22⋊Dic53C2×D411yescharacteristic
598C22⋊Dic53C2×D411yescharacteristic
599C22⋊Dic53C2×D411yescharacteristic
600C22⋊Dic53C2×D411yescharacteristic
601#11719925—22no—
602#11719925—41no—
603#11719925—41no—
604#11719925—41no—
605#11719925—41no—
606#11719924—22no—
607#11719924—22no—
608#11719924—41no—
609#11719924—41no—
610#11719923—41no—
611#11719922—41no—
612#11719922—41no—
613#11719921—21no—
614#11719921—21no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631#11719921—21no—
632#11719921C2×D411yescharacteristic
633#11719921C2×D411yescharacteristic
634#11719921C2×D411yescharacteristic
635#11719921C2×D411yescharacteristic
636C4⋊Dic53—21no—
637C4⋊Dic53—21no—
638C4⋊Dic53—21no—
639C4⋊Dic53—21no—
640C4⋊Dic53—21no—
641C4⋊Dic53—21no—
642C4⋊Dic53—21no—
643C4⋊Dic53—21no—
644C4⋊Dic53C2×D411yescharacteristic
645C4⋊Dic53C2×D411yescharacteristic
646C4⋊Dic53C2×D411yescharacteristic
647C4⋊Dic53C2411yescharacteristic
648C4⋊Dic53C2411yescharacteristic
649C4⋊Dic53C2411yescharacteristic
650C4⋊Dic53C2411yescharacteristic
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662#11719919—21no—
663#11719919—21no—
664#11719919—21no—
665#11719919—21no—
666#11719919—21no—
667#11719919—21no—
668#11719919C2×D411yescharacteristic
669#11719919C2×D411yescharacteristic
670#11719919C2×D411yescharacteristic
671#11719919C2×D411yescharacteristic
672#11719919C2×D411yescharacteristic
673#11719919C2×D411yescharacteristic
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53—21no—
679C4×Dic53—21no—
680C4×Dic53—21no—
681C4×Dic53—21no—
682C4×Dic53—21no—
683C4×Dic53—21no—
684C4×Dic53—21no—
685C4×Dic53—21no—
686C4×Dic53—21no—
687C4×Dic53C2×D411yescharacteristic
688C4×Dic53C2×D411yescharacteristic
689C4×Dic53C2411yescharacteristic
690C4×Dic53C2411yescharacteristic
691C4×Dic53C2411yescharacteristic
692#11719917—41no—
693#11719917—41no—
694C2×#88322C2411yescharacteristic
695C2×#88322C2411yescharacteristic
696C2×#88322C2411yescharacteristic
697C2×#88322C2411yescharacteristic
698Dic212—41no—
699#11719913—41no—
700#11719913—41no—
701#11719912—41no—
702C8×D53—41no—
703C23×C53—21no—
704C23×C53C22×D411yescharacteristic
705C23×C53C22×D411yescharacteristic
706C22×D53—21no—
707C22×D53—21no—
708C22×D53—42no—
709C22×D53—81no—
710C22×D53—81no—
711C22×D53C22×D411yescharacteristic
712Q8×C53—21no—
713Q8×C53—21no—
714Q8×C53—21no—
715Q8×C53—21no—
716Q8×C53—21no—
717Q8×C53—21no—
718Q8×C53—21no—
719Q8×C53—21no—
720Q8×C53—21no—
721Q8×C53—42no—
722Q8×C53—81no—
723Q8×C53—81no—
724Q8×C53H(5,𝔽2)12yes—
725D4×C53—21no—
726D4×C53—21no—
727D4×C53—41no—
728D4×C53—42no—
729D4×C53—81no—
730C2×C4×C53—21no—
731C2×C4×C53—21no—
732C2×C4×C53—21no—
733C2×C4×C53—21no—
734C2×C4×C53—21no—
735C2×C4×C53—21no—
736C2×C4×C53—21no—
737C2×C4×C53—21no—
738C2×C4×C53—21no—
739C2×C4×C53—21no—
740C2×C4×C53—21no—
741C2×C4×C53—42no—
742C2×C4×C53—42no—
743C2×C4×C53—81no—
744C2×C4×C53—81no—
745C2×C4×C53C22×D411yescharacteristic
746C2×C4×C53C22×D411yescharacteristic
747C2×C4×C53C22×D411yescharacteristic
748C2×C4×C53C22×D411yescharacteristic
749C2×C4×C53C2511yescharacteristic
750C22⋊D53—41no—
751C22⋊D53—41no—
752C22⋊D53—81no—
753C22⋊D53—81no—
754C22⋊D53—81no—
755C2×Dic53—21no—
756C2×Dic53—21no—
757C2×Dic53—21no—
758C2×Dic53—21no—
759C2×Dic53—21no—
760C2×Dic53—21no—
761C2×Dic53—41no—
762C2×Dic53—41no—
763C2×Dic53—42no—
764C2×Dic53—81no—
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769C2×Dic53C22×D411yescharacteristic
770C2×Dic53C22×D411yescharacteristic
771C2×Dic53C22×D411yescharacteristic
772D212—21no—
773D212—21no—
774D212—21no—
775D212—21no—
776D212—81no—
777D212—81no—
778D212—81no—
779C4×D53—21no—
780C4×D53—21no—
781C4×D53—42no—
782C4×D53—81no—
783C4×D53—81no—
784C4×D53—81no—
785C4×D53—81no—
786C4×D53—81no—
787Dic106—21no—
788Dic106—21no—
789Dic106—21no—
790Dic106—21no—
791Dic106—41no—
792Dic106—42no—
793Dic106—81no—
794Dic106—81no—
795Dic106—81no—
796Dic106—81no—
797Dic106—81no—
798C8×C53—21no—
799C8×C53—21no—
800C8×C53—21no—
801C8×C53—21no—
802#88322—21no—
803#88322—21no—
804#88322—21no—
805#88322—21no—
806#62091—531nomaximal, Sylow
807C22×C53—21no—
808C22×C53—21no—
809C22×C53—21no—
810C22×C53—21no—
811C22×C53—21no—
812C22×C53—21no—
813C22×C53—41no—
814C22×C53—41no—
815C22×C53—41no—
816C22×C53C23×D411yescharacteristic
817C2×D53—21no—
818C2×D53—21no—
819C2×D53—21no—
820C2×D53—41no—
821C2×D53—41no—
822C2×D53—41no—
823C2×D53—41no—
824C2×D53—41no—
825C2×D53—41no—
826C2×D53—162no—
827C4×C53—21no—
828C4×C53—21no—
829C4×C53—22no—
830C4×C53—21no—
831C4×C53—21no—
832C4×C53—41no—
833C4×C53—41no—
834C4×C53—41no—
835C4×C53—41no—
836C4×C53—41no—
837C4×C53—41no—
838C4×C53C2×H(5,𝔽2)11yescharacteristic
839C4×C53#58511yescharacteristic
840Dic53—21no—
841Dic53—21no—
842Dic53—21no—
843Dic53—21no—
844Dic53—21no—
845Dic53—21no—
846Dic53—21no—
847Dic53—41no—
848Dic53—41no—
849Dic53—41no—
850Dic53—41no—
851Dic53—41no—
852Dic53—41no—
853#3561—531no—
854#3518—531no—
855#3402—531no—
856#3402—531no—
857#3369—531no—
858#3369—531no—
859#3328—531no—
860#3328—531no—
861#3321—531no—
862#3321—531no—
863#3311—531no—
864#3311—531no—
865#3275—531no—
866#3275—531no—
867#3270—531no—
868#3270—531no—
869#3270—531no—
870#3270D5311yescharacteristic, complemented
871#3263—531no—
872#3263—531no—
873#3255—531no—
874#3225—531no—
875#3225—531no—
876#3215—531no—
877#3121—531no—
878#3121—531no—
879#3116—531no—
880#3044—531no—
881#3044—531no—
882#3040—531no—
883#2995—531no—
884C2×C53—41no—
885C2×C53—41no—
886C2×C53—81no—
887C2×C53#348811yescharacteristic
888C2×C53#358611yescharacteristic
889C2×C53#358611yescharacteristic
890D53—41no—
891D53—81no—
892D53—81no—
893C2×#137—531no—
894C2×#137—531no—
895C2×#137C2×D5311yescharacteristic
896C2×AGL(1,ℤ/8)—531no—
897C22×Q16—531no—
898C22×Q16C2×D5311yescharacteristic, complemented
899#563—1061no—
900#562—1061no—
901Q82—531no—
902#556—531no—
903#556—531no—
904#556—531no—
905#556—531no—
906#556—531no—
907#556—1061no—
908#556—1061no—
909#556—1061no—
910#555—531no—
911#555—1061no—
912#551—1061no—
913#551—1061no—
914D4×Q8—531no—
915D4×Q8—531no—
916D4×Q8C2×D5311yescharacteristic
917#548—531no—
918#548—531no—
919#548—531no—
920#548C2×D5311yescharacteristic
921#546—531no—
922#546—531no—
923#543—1061no—
924#542—531no—
925#542—531no—
926#542—531no—
927#542—531no—
928#542—1061no—
929#542—1061no—
930#542—1061no—
931#542—1061no—
932#538—1061no—
933#536—531no—
934#536—531no—
935#533—531no—
936#533—531no—
937#533—1061no—
938#529—531no—
939#529—1061no—
940C2×#124—531no—
941#519—531no—
942#519—531no—
943C4×#41—531no—
944#497—531no—
945#497—531no—
946#497—531no—
947#497C2×D5311yescharacteristic, complemented
948#495—531no—
949#495—531no—
950#489—531no—
951#489—531no—
952#489—531no—
953#489—531no—
954#487—531no—
955#487—531no—
956#485—531no—
957#485—531no—
958#485—531no—
959#485—531no—
960#482—531no—
961#482—531no—
962#477—531no—
963#476—531no—
964#476—531no—
965#476—531no—
966#475—531no—
967#475—531no—
968#475—531no—
969#475—531no—
970#475—531no—
971#475—531no—
972#470—531no—
973#470—531no—
974#470—531no—
975#470—531no—
976#470—531no—
977#470C2×D5311yescharacteristic
978#469—531no—
979#469—531no—
980#465—531no—
981#465—531no—
982#465—531no—
983#465C2×D5311yescharacteristic, complemented
984#464—531no—
985#464—531no—
986#464—531no—
987#464—531no—
988#464—531no—
989#464—531no—
990#464—531no—
991#464—531no—
992#464—531no—
993#464—531no—
994#464—531no—
995#464—531no—
996#464—531no—
997#464C2×D5311yescharacteristic, complemented
998#463—531no—
999#463—531no—
1000#463—531no—
1001#463—531no—
1002#463—531no—
1003#463—531no—
1004#462—531no—
1005#462—531no—
1006#462—531no—
1007#462—531no—
1008#462—531no—
1009#462—531no—
1010#462—531no—
1011#462—531no—
1012#462C2×D5311yescharacteristic, complemented
1013#461—531no—
1014#452—531no—
1015#452—531no—
1016#452—531no—
1017#452C2×D5311yescharacteristic
1018#451—531no—
1019#451—531no—
1020#451—531no—
1021#451—531no—
1022#451C2×D5311yescharacteristic
1023#451C2×D5311yescharacteristic, complemented
1024#450—531no—
1025#450—531no—
1026#449—531no—
1027#449—531no—
1028#448—531no—
1029#448—531no—
1030#448—531no—
1031#448C2×D5311yescharacteristic, complemented
1032#446—531no—
1033#446—531no—
1034#441—531no—
1035#441—531no—
1036#441—531no—
1037#441C2×D5311yescharacteristic, complemented
1038#440—531no—
1039#440—531no—
1040#440—531no—
1041#440—531no—
1042C4×Q16—531no—
1043C4×Q16—531no—
1044C4×SD16—531no—
1045C4×SD16—531no—
1046#436—531no—
1047#436—531no—
1048#435—531no—
1049#435—531no—
1050#435—531no—
1051#435C2×D5311yescharacteristic
1052#433—531no—
1053#433—531no—
1054#432—531no—
1055#424—531no—
1056#424—531no—
1057#423—531no—
1058#419—531no—
1059#419—531no—
1060#419—531no—
1061#418—531no—
1062#416—531no—
1063#416—531no—
1064C53#6209111yescharacteristic, complemented, Sylow
1065C2×#41—531no—
1066C2×#41—531no—
1067C2×#41C22×D5311yescharacteristic
1068C22×Q8—531no—
1069C22×Q8—531no—
1070C22×Q8C22×D5311yescharacteristic
1071C22×Q8C22×D5311yescharacteristic
1072C22×Q8C22×D5311yescharacteristic
1073C22×D4—531no—
1074#137—42no—
1075#137—2122no—
1076#137—2122no—
1077AGL(1,ℤ/8)—2122no—
1078C2×Q16—42no—
1079C2×Q16—531no—
1080C2×Q16—531no—
1081C2×Q16—531no—
1082C2×Q16—531no—
1083C2×Q16—531no—
1084C2×Q16—531no—
1085C2×Q16—2122no—
1086C2×Q16C22×D5311yescharacteristic
1087C2×Q16C22×D5311yescharacteristic
1088C2×Q16C22×D5311yescharacteristic
1089C2×Q16C22×D5311yescharacteristic
1090C2×Q16C22×D5311yescharacteristic
1091C2×Q16C22×D5311yescharacteristic
1092C2×SD16—531no—
1093C2×SD16—531no—
1094C2×SD16—531no—
1095C2×SD16—531no—
1096C2×SD16—531no—
1097C2×SD16—531no—
1098C2×SD16—531no—
1099C2×SD16C22×D5311yescharacteristic
1100C2×SD16C22×D5311yescharacteristic
1101C2×SD16C22×D5311yescharacteristic
1102C2×D8—531no—
1103C2×D8—531no—
1104C2×M16—531no—
1105C2×M16—531no—
1106C2×M16—531no—
1107C2×M16C22×D5311yescharacteristic
1108C22×C8—531no—
1109C22×C8C22×D5311yescharacteristic
1110C4⋊Q8—21no—
1111C4⋊Q8—531no—
1112C4⋊Q8—531no—
1113C4⋊Q8—531no—
1114C4⋊Q8—531no—
1115C4⋊Q8—531no—
1116C4⋊Q8—531no—
1117C4⋊Q8—531no—
1118C4⋊Q8—1061no—
1119C4⋊Q8—1061no—
1120C4⋊Q8—1061no—
1121C4⋊Q8—1061no—
1122C4⋊Q8—1061no—
1123C4⋊Q8C22×D5311yescharacteristic
1124#126—531no—
1125#126—531no—
1126#126—1061no—
1127#126—1061no—
1128#126—1061no—
1129#126—1061no—
1130#126—1061no—
1131#126—1061no—
1132#126—1061no—
1133#126—1061no—
1134#126—1061no—
1135#126—1061no—
1136#126—1061no—
1137#126—1061no—
1138#126—1061no—
1139#126—1061no—
1140#125—531no—
1141#125—1061no—
1142#125—1061no—
1143#124—21no—
1144#124—531no—
1145#124—531no—
1146#124—531no—
1147#124—531no—
1148#124—531no—
1149#124—531no—
1150#124—531no—
1151#124—531no—
1152#124—1061no—
1153#124—1061no—
1154#124—1061no—
1155#124—1061no—
1156#124—1061no—
1157#124—1061no—
1158#124—1061no—
1159#124—1061no—
1160#124—1061no—
1161#124—1061no—
1162#124—1061no—
1163#124—1061no—
1164#124—1061no—
1165#124C22×D5311yescharacteristic
1166#123—531no—
1167#123—531no—
1168#123—1061no—
1169#123—1061no—
1170#123—1061no—
1171#123—1061no—
1172#123—1061no—
1173#123—1061no—
1174#123—1061no—
1175#123—1061no—
1176#123—1061no—
1177#123—1061no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—531no—
1182C22⋊Q8—531no—
1183C22⋊Q8—531no—
1184C22⋊Q8—531no—
1185C22⋊Q8—531no—
1186C22⋊Q8—531no—
1187C22⋊Q8—1061no—
1188C22⋊Q8—1061no—
1189C22⋊Q8—1061no—
1190C22⋊Q8—1061no—
1191C22⋊Q8—1061no—
1192C22⋊Q8—1061no—
1193C22⋊Q8—1061no—
1194C22⋊Q8—1061no—
1195C22⋊Q8—1061no—
1196C22⋊Q8—1061no—
1197C22⋊Q8—1061no—
1198C22⋊Q8—1061no—
1199C22⋊Q8—1061no—
1200C22⋊Q8—1061no—
1201C22⋊Q8—1061no—
1202C22⋊Q8—1061no—
1203C22⋊Q8—1061no—
1204C22⋊Q8—1061no—
1205C22⋊Q8—1061no—
1206C22⋊Q8—1061no—
1207C22⋊Q8C22×D5311yescharacteristic
1208C22⋊Q8C22×D5311yescharacteristic
1209C22⋊Q8C22×D5311yescharacteristic
1210#121—21no—
1211#121—531no—
1212#121—531no—
1213#121—531no—
1214#121—531no—
1215#121—1061no—
1216#121—1061no—
1217#121—1061no—
1218#121—1061no—
1219#121—1061no—
1220#121—1061no—
1221#121C22×D5311yescharacteristic
1222#120—1061no—
1223#120—1061no—
1224C4×Q8—531no—
1225C4×Q8—531no—
1226C4×Q8—531no—
1227C4×Q8—531no—
1228C4×Q8—531no—
1229C4×Q8—531no—
1230C4×Q8—531no—
1231C4×Q8—531no—
1232C4×Q8—531no—
1233C4×Q8—531no—
1234C4×Q8—531no—
1235C4×Q8—1061no—
1236C4×Q8—1061no—
1237C4×Q8—1061no—
1238C4×Q8—1061no—
1239C4×Q8—1061no—
1240C4×Q8—1061no—
1241C4×Q8—1061no—
1242C4×Q8—1061no—
1243C4×Q8—1061no—
1244C4×Q8C22×D5311yescharacteristic
1245C4×Q8C22×D5311yescharacteristic
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—531no—
1249C4×D4—531no—
1250C4×D4—531no—
1251C4×D4—531no—
1252C4×D4—531no—
1253C4×D4—531no—
1254C4×D4—1061no—
1255C4×D4—1061no—
1256C4×D4—1061no—
1257C4×D4—1061no—
1258C4×D4—1061no—
1259C4×D4—1061no—
1260C4×D4—1061no—
1261C4×D4C22×D5311yescharacteristic
1262#117—531no—
1263#117—531no—
1264#117—531no—
1265#117—531no—
1266#117—531no—
1267#117—1061no—
1268#117—1061no—
1269#117—1061no—
1270#117—1061no—
1271#117—1061no—
1272#117—1061no—
1273#117—1061no—
1274#117—1061no—
1275#117—1061no—
1276#117—1061no—
1277#117—1061no—
1278C2×C22⋊C4—1061no—
1279C2×C22⋊C4—1061no—
1280C2×C22⋊C4—1061no—
1281C2×C22⋊C4—1061no—
1282C2×C42—531no—
1283C2×C42—1061no—
1284#107—531no—
1285#107—531no—
1286#106—531no—
1287#106—531no—
1288#106—531no—
1289#106—531no—
1290#106—531no—
1291#106C22×D5311yescharacteristic
1292C4⋊C8—531no—
1293C4⋊C8—531no—
1294C4⋊C8—531no—
1295C4⋊C8—531no—
1296C4⋊C8—531no—
1297C4⋊C8—531no—
1298C4⋊C8—531no—
1299C4⋊C8—531no—
1300C4⋊C8—531no—
1301C4⋊C8C22×D5311yescharacteristic
1302#103—531no—
1303#103—531no—
1304#103—531no—
1305#103—531no—
1306#103—531no—
1307#103—531no—
1308#103—531no—
1309#103—531no—
1310#103—531no—
1311#103—531no—
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103—531no—
1319#103C22×D5311yescharacteristic
1320#103C22×D5311yescharacteristic
1321#103C22×D5311yescharacteristic
1322#103C22×D5311yescharacteristic
1323#103C22×D5311yescharacteristic
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102—531no—
1331#102—531no—
1332#102—531no—
1333#102C22×D5311yescharacteristic
1334C22⋊C8—531no—
1335C22⋊C8—531no—
1336C22⋊C8—531no—
1337C22⋊C8—531no—
1338C22⋊C8C22×D5311yescharacteristic
1339C22⋊C8C22×D5311yescharacteristic
1340#97—531no—
1341#97—531no—
1342#97—531no—
1343#97C22×D5311yescharacteristic
1344C4×C8—531no—
1345C4×C8—531no—
1346C24—1061no—
1347#41—22no—
1348#41—41no—
1349#41—2121no—
1350#41—2121no—
1351#41—2121no—
1352#41—2121no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—21no—
1356C2×Q8—22no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—41no—
1361C2×Q8—41no—
1362C2×Q8—531no—
1363C2×Q8—531no—
1364C2×Q8—531no—
1365C2×Q8—1061no—
1366C2×Q8—1061no—
1367C2×Q8—1061no—
1368C2×Q8—1061no—
1369C2×Q8—1061no—
1370C2×Q8—1061no—
1371C2×Q8—1062no—
1372C2×Q8—2121no—
1373C2×Q8—2121no—
1374C2×Q8—2121no—
1375C2×Q8C23×D5311yescharacteristic
1376C2×Q8C23×D5311yescharacteristic
1377C2×Q8C23×D5311yescharacteristic
1378C2×Q8C23×D5311yescharacteristic
1379C2×Q8C23×D5311yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—531no—
1383C2×D4—531no—
1384C2×D4—531no—
1385C2×D4—531no—
1386C2×D4—1061no—
1387C2×D4—1061no—
1388C2×D4—1061no—
1389C2×D4—1061no—
1390C2×D4—1061no—
1391C2×D4—1061no—
1392C2×D4—2121no—
1393C2×D4—2121no—
1394C2×D4D4×D5311yescharacteristic
1395C2×D4C23×D5311yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—531no—
1401C22×C4—531no—
1402C22×C4—531no—
1403C22×C4—1061no—
1404C22×C4—1061no—
1405C22×C4—1061no—
1406C22×C4—1061no—
1407C22×C4—1061no—
1408C22×C4—1061no—
1409C22×C4—1061no—
1410C22×C4—1061no—
1411C22×C4C23×D5311yescharacteristic
1412C22×C4C23×D5311yescharacteristic
1413Q16—22no—
1414Q16—22no—
1415Q16—22no—
1416Q16—41no—
1417Q16—41no—
1418Q16—41no—
1419Q16—1062no—
1420Q16—2121no—
1421Q16—2121no—
1422Q16—2121no—
1423Q16—2121no—
1424Q16—2121no—
1425SD16—41no—
1426SD16—41no—
1427SD16—41no—
1428SD16—1062no—
1429SD16—1062no—
1430SD16—2121no—
1431SD16—2121no—
1432SD16—2121no—
1433SD16—2121no—
1434SD16—2121no—
1435D8—2121no—
1436D8—2121no—
1437M16—41no—
1438M16—2121no—
1439M16—2121no—
1440M16—2121no—
1441C2×C8—41no—
1442C2×C8—531no—
1443C2×C8—531no—
1444C2×C8—531no—
1445C2×C8—531no—
1446C2×C8—2121no—
1447C2×C8C23×D5311yescharacteristic
1448C2×C8C23×D5311yescharacteristic
1449C2×C8C23×D5311yescharacteristic
1450C2×C8C23×D5311yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—531no—
1459C4⋊C4—531no—
1460C4⋊C4—531no—
1461C4⋊C4—531no—
1462C4⋊C4—531no—
1463C4⋊C4—531no—
1464C4⋊C4—531no—
1465C4⋊C4—531no—
1466C4⋊C4—531no—
1467C4⋊C4—531no—
1468C4⋊C4—531no—
1469C4⋊C4—531no—
1470C4⋊C4—531no—
1471C4⋊C4—1061no—
1472C4⋊C4—1061no—
1473C4⋊C4—1061no—
1474C4⋊C4—1061no—
1475C4⋊C4—1061no—
1476C4⋊C4—1061no—
1477C4⋊C4—1061no—
1478C4⋊C4—1061no—
1479C4⋊C4—1061no—
1480C4⋊C4—1061no—
1481C4⋊C4—1061no—
1482C4⋊C4—1061no—
1483C4⋊C4—1061no—
1484C4⋊C4—1061no—
1485C4⋊C4—1061no—
1486C4⋊C4—1061no—
1487C4⋊C4—1061no—
1488C4⋊C4—1061no—
1489C4⋊C4—1061no—
1490C4⋊C4—1061no—
1491C4⋊C4—1061no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4—1061no—
1496C4⋊C4D4×D5311yescharacteristic
1497C4⋊C4C23×D5311yescharacteristic
1498C4⋊C4C23×D5311yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—531no—
1506C22⋊C4—531no—
1507C22⋊C4—531no—
1508C22⋊C4—531no—
1509C22⋊C4—531no—
1510C22⋊C4—531no—
1511C22⋊C4—531no—
1512C22⋊C4—531no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4—1061no—
1516C22⋊C4—1061no—
1517C22⋊C4—1061no—
1518C22⋊C4—1061no—
1519C22⋊C4—1061no—
1520C22⋊C4—1061no—
1521C22⋊C4—1061no—
1522C22⋊C4—1061no—
1523C22⋊C4—1061no—
1524C22⋊C4—1061no—
1525C22⋊C4—1061no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4—1061no—
1538C22⋊C4—1061no—
1539C22⋊C4—1061no—
1540C22⋊C4—1061no—
1541C22⋊C4—1061no—
1542C22⋊C4D4×D5311yescharacteristic
1543C22⋊C4D4×D5311yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—531no—
1547C42—531no—
1548C42—531no—
1549C42—531no—
1550C42—531no—
1551C42—1061no—
1552C42—1061no—
1553C42—1061no—
1554C42—1061no—
1555C42—1061no—
1556C42—1061no—
1557C42—1061no—
1558C42—1061no—
1559C42—1061no—
1560C42—1061no—
1561C42—1061no—
1562C42—1061no—
1563C42—1061no—
1564C42C23×D5311yescharacteristic
1565C23—21no—
1566C23—531no—
1567C23—1061no—
1568C23—1061no—
1569C23—4241no—
1570C23—4241no—
1571C23—2122no—
1572C23C2×D4×D5311yescharacteristic
1573C23C2×D4×D5311yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—42no—
1584Q8—81no—
1585Q8—81no—
1586Q8—1061no—
1587Q8—1061no—
1588Q8—1061no—
1589Q8—1061no—
1590Q8—4241no—
1591Q8—4241no—
1592Q8—4241no—
1593Q8—4241no—
1594Q8—4241no—
1595Q8—2121no—
1596Q8—2122no—
1597Q8#1313326212yes—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—81no—
1603D4—1061no—
1604D4—1061no—
1605D4—1061no—
1606D4—1061no—
1607D4—4241no—
1608D4—4241no—
1609D4—4241no—
1610D4—4241no—
1611D4—4241no—
1612D4—4241no—
1613D4—2121no—
1614D4—2121no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—531no—
1631C2×C4—531no—
1632C2×C4—531no—
1633C2×C4—531no—
1634C2×C4—531no—
1635C2×C4—531no—
1636C2×C4—531no—
1637C2×C4—1061no—
1638C2×C4—1061no—
1639C2×C4—1061no—
1640C2×C4—1061no—
1641C2×C4—1061no—
1642C2×C4—1061no—
1643C2×C4—1061no—
1644C2×C4—1061no—
1645C2×C4—4241no—
1646C2×C4—4241no—
1647C2×C4—4241no—
1648C2×C4—4241no—
1649C2×C4—4241no—
1650C2×C4—4241no—
1651C2×C4—2122no—
1652C2×C4—2121no—
1653C2×C4—2121no—
1654C2×C4—2122no—
1655C2×C4C2×D4×D5311yescharacteristic
1656C2×C4C2×D4×D5311yescharacteristic
1657C2×C4C2×D4×D5311yescharacteristic
1658C2×C4C2×D4×D5311yescharacteristic
1659C2×C4C24×D5311yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1061no—
1665C8—1061no—
1666C8—1061no—
1667C8—1061no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—8482no—
1678C22—1061no—
1679C22—1061no—
1680C22—1061no—
1681C22—2121no—
1682C22—2121no—
1683C22—2121no—
1684C22—2121no—
1685C22—2121no—
1686C22—2121no—
1687C22C22×D4×D5311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—22no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—1061no—
1700C4—1061no—
1701C4—1061no—
1702C4—1061no—
1703C4—1061no—
1704C4—1061no—
1705C4—1061no—
1706C4—2121no—
1707C4—2121no—
1708C4—2121no—
1709C4—2121no—
1710C4—2121no—
1711C4—2121no—
1712C4C2×#1313326211yescharacteristic
1713C4#1681145811yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—81no—
1717C2—4241no—
1718C2—4241no—
1719C2—2121no—
1720C2#2028837511yescharacteristic
1721C2#2028949811yescharacteristic
1722C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3270C2
socleC22×C53C23×D4
hypercenter#3270D53
hypocenterC53#62091
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. #20289281C2semidirect
2. #20288723C2semidirect
3. #20287794C2semidirect
4. #20287791C2semidirect
5. #20287459C2semidirect
6. #20287456C2semidirect
7. #20286998C2semidirect
8. #20286991C2semidirect
9. #20286907C2semidirect
10. #20286894C2semidirect
11. #20286753C2semidirect
12. #20286746C2semidirect
13. #20286347C2semidirect
14. #20286339C2semidirect
15. #20286288C2semidirect
16. #20286285C2semidirect
17. #20286279C2semidirect
18. #20286183C2semidirect
19. #20286179C2semidirect
20. #20286105C2semidirect
21. #20285822C2semidirect
22. #20285819C2semidirect
23. #20285717C2semidirect
24. #20284948C2semidirect
25. #20284945C2semidirect
26. #20284870C2semidirect
27. #20284242C2semidirect
28. #20284240C2semidirect
29. #20284211C2semidirect
30. #20283886C2semidirect
31. C53×#3270C2semidirect
35. C2×Q16×D53C22semidirect
38. Q8×Dic106C22semidirect
46. #16811342C22semidirect
48. #16811337C22semidirect
52. Q8×C22⋊D53C22semidirect
64. #16811242C22semidirect
66. #16811240C22semidirect
76. #16811101C22semidirect
77. #16811099C22semidirect
81. #16811014C22semidirect
88. #16810973C22semidirect
89. #16810972C22semidirect
91. #16810963C22semidirect
93. #16810961C22semidirect
96. #16810916C22semidirect
99. #16810911C22semidirect
100. #16810908C22semidirect
101. #16810907C22semidirect
102. #16810907C22semidirect
103. #16810906C22semidirect
104. #16810906C22semidirect
105. #16810906C22semidirect
109. #16810879C22semidirect
110. #16810878C22semidirect
115. #16810849C22semidirect
128. #16810843C22semidirect
135. #16810832C22semidirect
136. #16810832C22semidirect
137. #16810831C22semidirect
138. #16810831C22semidirect
139. #16810831C22semidirect
140. #16810831C22semidirect
141. #16810831C22semidirect
142. #16810830C22semidirect
143. #16810826C22semidirect
148. #16810779C22semidirect
149. #16810777C22semidirect
150. #16810777C22semidirect
157. #16810760C22semidirect
158. #16810751C22semidirect
159. #16810750C22semidirect
160. #16810730C22semidirect
161. #16810730C22semidirect
162. #16810727C22semidirect
165. #16810724C22semidirect
166. #16810720C22semidirect
167. Q16×Dic53C22semidirect
168. C4×#11719925C22semidirect
173. #16810697C22semidirect
174. #16810694C22semidirect
176. #16810685C22semidirect
177. #16810681C22semidirect
179. #16810649C22semidirect
180. #16810648C22semidirect
183. #16810632C22semidirect
184. #16810630C22semidirect
189. C22×Q16×C53C22semidirect
192. C53×#497C22semidirect
194. C53×#465C22semidirect
195. C53×#464C22semidirect
196. C53×#462C22semidirect
199. C53×#451C22semidirect
200. C53×#448C22semidirect
201. C53×#441C22semidirect
870. #3270D53semidirect
898. C22×Q16C2×D53semidirect
947. #497C2×D53semidirect
983. #465C2×D53semidirect
997. #464C2×D53semidirect
1012. #462C2×D53semidirect
1023. #451C2×D53semidirect
1031. #448C2×D53semidirect
1037. #441C2×D53semidirect
1064. C53#62091semidirect

Maximal subgroups

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

subgroupindex
#202892812
#202887232
#202877942
#202877912
#202874592
#202874562
#202869982
#202869912
#202869072
#202868942
#202867532
#202867462
#202863472
#202863392
#202862882
#202862852
#202862792
#202861832
#202861792
#202861052
#202858222
#202858192
#202857172
#202849482
#202849452
#202848702
#202842422
#202842402
#202842112
#202838862
C53×#32702
#6209153