Finite Group Databasebeta

← #28275829

Subgroups — #28275829

Order 13568.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289203C211yesmaximal, characteristic, complemented
2#20288613C211yesmaximal, characteristic, complemented
3#20287796C211yesmaximal, characteristic, complemented
4#20287796C211yesmaximal, characteristic, complemented
5#20287783C211yesmaximal, characteristic, complemented
6#20287783C211yesmaximal, characteristic, complemented
7#20287770C211yesmaximal, characteristic, complemented
8#20287748C211yesmaximal, characteristic, complemented
9#20287713C211yesmaximal, characteristic, complemented
10#20287704C211yesmaximal, characteristic, complemented
11#20287559C211yesmaximal, characteristic, complemented
12#20287544C211yesmaximal, characteristic, complemented
13#20287531C211yesmaximal, characteristic, complemented
14#20287485C211yesmaximal, characteristic, complemented
15#20287470C211yesmaximal, characteristic, complemented
16#20287457C211yesmaximal, characteristic, complemented
17#20287413C211yesmaximal, characteristic, complemented
18#20287402C211yesmaximal, characteristic, complemented
19#20285826C211yesmaximal, characteristic, complemented
20#20285811C211yesmaximal, characteristic
21#20285800C211yesmaximal, characteristic, complemented
22#20285789C211yesmaximal, characteristic, complemented
23#20285720C211yesmaximal, characteristic, complemented
24#20285682C211yesmaximal, characteristic, complemented
25#20285016C211yesmaximal, characteristic, complemented
26#20284968C211yesmaximal, characteristic, complemented
27#20284946C211yesmaximal, characteristic, complemented
28#20284901C211yesmaximal, characteristic, complemented
29#20284826C211yesmaximal, characteristic, complemented
30#20284787C211yesmaximal, characteristic, complemented
31C53×#2985C211yesmaximal, characteristic, complemented
32#16811374—21no—
33#16811374—21no—
34#16811358C2211yescharacteristic
35#16811358C2211yescharacteristic
36#16811358C2211yescharacteristic
37#16811358C2211yescharacteristic
38Q8×Dic106C2211yescharacteristic, complemented
39#16811352C2211yescharacteristic, complemented
40#16811351C2211yescharacteristic, complemented
41#16811351C2211yescharacteristic, complemented
42#16811346C2211yescharacteristic
43#16811346C2211yescharacteristic
44#16811346C2211yescharacteristic
45#16811346C2211yescharacteristic
46#16811346C2211yescharacteristic, complemented
47#16811346C2211yescharacteristic, complemented
48#16811346C2211yescharacteristic, complemented
49#16811344—21no—
50#16811333C2211yescharacteristic, complemented
51#16811307—21no—
52#16811300—21no—
53#16811300—21no—
54#16811300—21no—
55#16811300—21no—
56#16811250—21no—
57#16811247—21no—
58#16811247—21no—
59#16811244C2211yescharacteristic
60#16811244C2211yescharacteristic
61#16811235C2211yescharacteristic
62#16811235C2211yescharacteristic
63#16811234—21no—
64#16811232—21no—
65#16811232—21no—
66#16811199C2211yescharacteristic
67#16811192C2211yescharacteristic
68#16811180C2211yescharacteristic
69#16811158—21no—
70#16811158—21no—
71#16811157C2211yescharacteristic
72C2×#13133205C2211yescharacteristic
73#16811100C2211yescharacteristic
74#16811097C2211yescharacteristic
75C4×#11719945C2211yescharacteristic
76#16811017C2211yescharacteristic
77#16811017C2211yescharacteristic
78#16811017C2211yescharacteristic
79#16811017C2211yescharacteristic, complemented
80#16811017C2211yescharacteristic, complemented
81#16811012C2211yescharacteristic
82#16811007C2211yescharacteristic
83#16811007C2211yescharacteristic
84#16811007C2211yescharacteristic
85#16811007C2211yescharacteristic, complemented
86#16811003C2211yescharacteristic, complemented
87#16810996C2211yescharacteristic
88#16810992C2211yescharacteristic, complemented
89#16810988C2211yescharacteristic
90#16810983C2211yescharacteristic
91#16810983C2211yescharacteristic
92#16810983C2211yescharacteristic
93#16810983C2211yescharacteristic, complemented
94#16810978C2211yescharacteristic
95#16810978C2211yescharacteristic
96#16810978C2211yescharacteristic
97#16810978C2211yescharacteristic, complemented
98#16810974C2211yescharacteristic, complemented
99#16810970C2211yescharacteristic
100#16810965C2211yescharacteristic
101#16810965C2211yescharacteristic
102#16810965C2211yescharacteristic
103#16810948C2211yescharacteristic
104#16810931C2211yescharacteristic, complemented
105#16810931C2211yescharacteristic, complemented
106#16810931C2211yescharacteristic, complemented
107#16810924C2211yescharacteristic
108#16810924C2211yescharacteristic
109#16810924C2211yescharacteristic, complemented
110#16810919C2211yescharacteristic, complemented
111#16810914C2211yescharacteristic
112#16810909C2211yescharacteristic, complemented
113#16810909C2211yescharacteristic, complemented
114#16810904C2211yescharacteristic
115#16810904C2211yescharacteristic, complemented
116#16810846C2211yescharacteristic
117#16810846C2211yescharacteristic
118#16810846C2211yescharacteristic
119#16810846C2211yescharacteristic
120#16810846C2211yescharacteristic
121#16810846C2211yescharacteristic
122#16810846C2211yescharacteristic
123#16810846C2211yescharacteristic
124#16810846C2211yescharacteristic
125#16810846C2211yescharacteristic, complemented
126#16810846C2211yescharacteristic, complemented
127#16810846C2211yescharacteristic, complemented
128#16810846C2211yescharacteristic, complemented
129#16810846C2211yescharacteristic, complemented
130#16810846C2211yescharacteristic, complemented
131#16810839C2211yescharacteristic
132#16810839C2211yescharacteristic
133#16810839C2211yescharacteristic
134#16810839C2211yescharacteristic
135#16810839C2211yescharacteristic
136#16810839C2211yescharacteristic, complemented
137#16810839C2211yescharacteristic, complemented
138#16810834C2211yescharacteristic, complemented
139#16810834C2211yescharacteristic, complemented
140#16810834C2211yescharacteristic, complemented
141#16810834C2211yescharacteristic, complemented
142#16810834C2211yescharacteristic, complemented
143#16810834C2211yescharacteristic, complemented
144#16810829C2211yescharacteristic
145#16810829C2211yescharacteristic
146#16810829C2211yescharacteristic, complemented
147#16810829C2211yescharacteristic, complemented
148#16810824C2211yescharacteristic
149#16810824C2211yescharacteristic
150#16810824C2211yescharacteristic
151#16810819C2211yescharacteristic
152#16810787C2211yescharacteristic
153#16810787C2211yescharacteristic
154#16810787C2211yescharacteristic
155#16810781C2211yescharacteristic
156#16810781C2211yescharacteristic
157#16810781C2211yescharacteristic
158#16810776C2211yescharacteristic
159#16810776C2211yescharacteristic
160#16810776C2211yescharacteristic
161#16810770C2211yescharacteristic
162#16810764C2211yescharacteristic
163#16810759C2211yescharacteristic
164#16810736C2211yescharacteristic
165#16810736C2211yescharacteristic, complemented
166#16810731C2211yescharacteristic, complemented
167#16810731C2211yescharacteristic, complemented
168#16810731C2211yescharacteristic, complemented
169#16810731C2211yescharacteristic, complemented
170#16810725C2211yescharacteristic
171#16810725C2211yescharacteristic
172#16810725C2211yescharacteristic
173#16810725C2211yescharacteristic, complemented
174#16810725C2211yescharacteristic, complemented
175#16810725C2211yescharacteristic, complemented
176C4×Dic212C2211yescharacteristic, complemented
177C4×Dic212C2211yescharacteristic, complemented
178C4×Dic212C2211yescharacteristic, complemented
179C4×Dic212C2211yescharacteristic, complemented
180C4×Dic212C2211yescharacteristic, complemented
181C4×#11719913C2211yescharacteristic
182C4×#11719913C2211yescharacteristic
183C4×#11719913C2211yescharacteristic
184C4×#11719913C2211yescharacteristic, complemented
185C4×#11719913C2211yescharacteristic, complemented
186C4×#11719913C2211yescharacteristic, complemented
187C4×D424C2211yescharacteristic
188C53×#533C2211yescharacteristic
189C53×#446C2211yescharacteristic, complemented
190C53×#446C2211yescharacteristic, complemented
191C53×#446C2211yescharacteristic, complemented
192C53×#446C2211yescharacteristic, complemented
193C53×#446C2211yescharacteristic, complemented
194C53×#446C2211yescharacteristic, complemented
195C8×Q8×C53C2211yescharacteristic, complemented
196C8×Q8×C53C2211yescharacteristic, complemented
197C53×#433C2211yescharacteristic
198C53×#433C2211yescharacteristic
199C53×#433C2211yescharacteristic
200C53×#433C2211yescharacteristic
201C53×#432C2211yescharacteristic
202C53×#431C2211yescharacteristic
203C2×#11719945C2311yescharacteristic
204C22×Dic106C2311yescharacteristic
205C22×D212C2311yescharacteristic
206C2×Dic212C2311yescharacteristic
207C2×Dic212C2311yescharacteristic
208C2×Dic212C2311yescharacteristic
209C2×Dic212C2311yescharacteristic
210C2×Dic212C2311yescharacteristic
211C2×Dic212C2311yescharacteristic
212C2×Dic212C2311yescharacteristic
213C2×Dic212C2311yescharacteristic
214C2×Dic212C2311yescharacteristic
215C2×#11719913C2311yescharacteristic
216C2×#11719913C2311yescharacteristic
217C2×#11719913C2311yescharacteristic
218C2×#11719913C2311yescharacteristic
219C2×#11719913C2311yescharacteristic
220C2×#11719913C2311yescharacteristic
221C2×#11719913C2311yescharacteristic
222C2×#11719913C2311yescharacteristic
223C2×#11719913C2311yescharacteristic
224C2×#11719913C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×D424C2311yescharacteristic
228C2×D424C2311yescharacteristic
229C2×D424C2311yescharacteristic
230#13133217C2311yescharacteristic
231#13133217C2311yescharacteristic
232#13133217C2311yescharacteristic
233#13133217C2311yescharacteristic
234#13133217C2311yescharacteristic
235#13133217C2311yescharacteristic
236#13133217C2311yescharacteristic
237#13133217C2311yescharacteristic
238#13133216—21no—
239#13133216—21no—
240#13133216—21no—
241#13133215—21no—
242#13133215—21no—
243#13133214C2311yescharacteristic
244#13133214C2311yescharacteristic
245#13133212—21no—
246#13133212—21no—
247#13133212—21no—
248#13133212—21no—
249#13133212—21no—
250#13133212—21no—
251#13133212—21no—
252#13133212—21no—
253#13133212—21no—
254#13133212—21no—
255#13133212—21no—
256#13133212—21no—
257#13133212—21no—
258#13133212—21no—
259#13133212—21no—
260#13133212—21no—
261#13133211—21no—
262#13133210—21no—
263#13133210—21no—
264#13133210—21no—
265#13133210—21no—
266#13133209—21no—
267#13133209C2311yescharacteristic
268#13133209C2311yescharacteristic
269#13133209C2311yescharacteristic
270#13133208—21no—
271#13133208—21no—
272#13133208—21no—
273#13133207—21no—
274#13133207—21no—
275#13133207—21no—
276#13133207—21no—
277#13133207—21no—
278#13133207—21no—
279#13133207—21no—
280#13133207—21no—
281#13133206—21no—
282#13133206—21no—
283#13133206—21no—
284#13133206—21no—
285#13133205—21no—
286#13133205—21no—
287#13133205C2311yescharacteristic
288#13133205C2311yescharacteristic
289#13133205C2311yescharacteristic
290#13133205C2311yescharacteristic
291#13133205C2311yescharacteristic
292#13133205C2311yescharacteristic
293#13133205C2311yescharacteristic
294#13133205C2311yescharacteristic
295#13133205C2311yescharacteristic
296#13133205C2311yescharacteristic
297#13133205C2311yescharacteristic
298#13133203—21no—
299#13133203—21no—
300#13133202—21no—
301#13133202—21no—
302#13133202—21no—
303#13133202—21no—
304#13133202—21no—
305#13133202—21no—
306#13133202—21no—
307#13133202—21no—
308#13133201—21no—
309#13133201—21no—
310#13133200—21no—
311#13133199—21no—
312#13133199—21no—
313#13133197—21no—
314#13133197—21no—
315#13133196—21no—
316#13133196C2311yescharacteristic
317#13133196C2311yescharacteristic
318#13133196C2311yescharacteristic
319#13133195—21no—
320#13133195—21no—
321#13133195—21no—
322#13133195—21no—
323#13133193—21no—
324#13133193—21no—
325#13133193—21no—
326#13133193—21no—
327#13133193—21no—
328#13133193—21no—
329#13133193—21no—
330#13133193—21no—
331#13133192—21no—
332#13133192—21no—
333#13133191C2311yescharacteristic
334#13133187—21no—
335#13133187—21no—
336Q8×Dic53—21no—
337Q8×Dic53—21no—
338C4×Dic106—21no—
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341C4×Dic106C2311yescharacteristic
342C4×Dic106C2311yescharacteristic
343C4×Dic106C2311yescharacteristic
344C4×Dic106C2311yescharacteristic
345C4×Dic106C2311yescharacteristic
346C4×Dic106C2311yescharacteristic
347C4×Dic106C2311yescharacteristic
348C4×Dic106C2311yescharacteristic
349C4×Dic106C2311yescharacteristic
350C4×Dic106C2311yescharacteristic
351C4×Dic106C2311yescharacteristic
352C4×Dic106C2311yescharacteristic
353C4×Dic106C2311yescharacteristic
354#13133182—21no—
355#13133182—21no—
356#13133182—21no—
357#13133182—21no—
358C4×D212C2311yescharacteristic
359C4×D212C2311yescharacteristic
360C4×D212C2311yescharacteristic
361C4×D212C2311yescharacteristic
362C4×D212C2311yescharacteristic
363C4×D212C2311yescharacteristic
364C4×D212C2311yescharacteristic
365C4×D212C2311yescharacteristic
366C4×D212C2311yescharacteristic
367#13133179—21no—
368#13133179—21no—
369#13133179—21no—
370#13133179—21no—
371#13133179—21no—
372#13133179—21no—
373C4×C22⋊D53—21no—
374C4×C22⋊D53—21no—
375C4×C22⋊D53—21no—
376#13133176—21no—
377#13133176C2311yescharacteristic
378#13133175—21no—
379#13133175—21no—
380#13133175—21no—
381#13133175—21no—
382#13133175—21no—
383#13133175—21no—
384#13133175—21no—
385#13133174—21no—
386#13133174—21no—
387#13133173—21no—
388#13133173—21no—
389C4⋊C4×D53—21no—
390C2×#11719921—21no—
391C2×#11719921—21no—
392C22⋊C4×D53—21no—
393C22⋊C4×D53—21no—
394C42×D53—21no—
395#13133151C2311yescharacteristic
396#13133151C2311yescharacteristic
397#13133151C2311yescharacteristic
398#13133151C2311yescharacteristic
399#13133149C2311yescharacteristic
400#13133149C2311yescharacteristic
401#13133149C2311yescharacteristic
402#13133149C2311yescharacteristic
403#13133142C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133142C2311yescharacteristic
415#13133142C2311yescharacteristic
416#13133142C2311yescharacteristic
417#13133142C2311yescharacteristic
418#13133142C2311yescharacteristic
419#13133142C2311yescharacteristic
420#13133142C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133139C2311yescharacteristic
426#13133139C2311yescharacteristic
427#13133139C2311yescharacteristic
428#13133139C2311yescharacteristic
429#13133139C2311yescharacteristic
430#13133139C2311yescharacteristic
431#13133139C2311yescharacteristic
432#13133139C2311yescharacteristic
433#13133139C2311yescharacteristic
434#13133139C2311yescharacteristic
435C4⋊Q8×C53D411yescharacteristic
436C4⋊Q8×C53D411yescharacteristic
437#125×C53D411yescharacteristic
438#125×C53D411yescharacteristic
439C22⋊Q8×C53D411yescharacteristic
440C22⋊Q8×C53D411yescharacteristic
441C22⋊Q8×C53D411yescharacteristic
442C22⋊Q8×C53D411yescharacteristic
443C4×Q8×C53C2311yescharacteristic
444C4×Q8×C53C2311yescharacteristic
445C4×Q8×C53C2311yescharacteristic
446C4×Q8×C53C2311yescharacteristic
447#117×C53C2311yescharacteristic
448#117×C53C2311yescharacteristic
449C2×C42×C53C2311yescharacteristic
450C4⋊C8×C53C2311yescharacteristic
451C4⋊C8×C53C2311yescharacteristic
452C4⋊C8×C53C2311yescharacteristic
453C4⋊C8×C53C2311yescharacteristic
454C4⋊C8×C53C2311yescharacteristic
455C4⋊C8×C53C2311yescharacteristic
456C4⋊C8×C53C2311yescharacteristic
457C4⋊C8×C53C2311yescharacteristic
458C4⋊C8×C53C2311yescharacteristic
459C4⋊C8×C53C2311yescharacteristic
460C4⋊C8×C53C2311yescharacteristic
461C4⋊C8×C53C2311yescharacteristic
462C22⋊C8×C53C2311yescharacteristic
463C22⋊C8×C53C2311yescharacteristic
464C22⋊C8×C53C2311yescharacteristic
465C22⋊C8×C53C2311yescharacteristic
466#97×C53C2311yescharacteristic
467#97×C53C2311yescharacteristic
468#97×C53C2311yescharacteristic
469#97×C53C2311yescharacteristic
470#97×C53C2311yescharacteristic
471#97×C53C2311yescharacteristic
472C4×C8×C53C2311yescharacteristic
473C4×C8×C53C2311yescharacteristic
474C4×C8×C53C2311yescharacteristic
475C4×C8×C53C2311yescharacteristic
476C4×C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C23×D53—21no—
479C2×Q8×C53C2×D411yescharacteristic
480C2×Q8×C53C2×D411yescharacteristic
481C2×Q8×C53C2×D411yescharacteristic
482C2×Q8×C53C2×D411yescharacteristic
483C22×C4×C53C2×D411yescharacteristic
484C22×C4×C53C2×D411yescharacteristic
485C22×C4×C53C2411yescharacteristic
486C2×C22⋊D53—21no—
487C2×C22⋊D53—21no—
488C22×Dic53—21no—
489#11719945—41no—
490#11719945—41no—
491C2×D212—21no—
492C2×D212—21no—
493C2×D212—21no—
494C2×D212—21no—
495C2×D212—21no—
496C2×D212—41no—
497C2×D212—41no—
498C2×D212C2411yescharacteristic
499C2×D212C2411yescharacteristic
500C2×D212C2411yescharacteristic
501C2×D212C2411yescharacteristic
502C2×C4×D53—21no—
503C2×C4×D53—21no—
504C2×C4×D53—21no—
505C2×C4×D53—21no—
506C2×C4×D53—21no—
507C2×C4×D53—21no—
508C2×C4×D53—21no—
509C2×C4×D53—21no—
510C2×C4×D53—21no—
511C2×C4×D53—21no—
512C2×Dic106—21no—
513C2×Dic106—21no—
514C2×Dic106—21no—
515C2×Dic106—21no—
516C2×Dic106—41no—
517C2×Dic106—41no—
518C2×Dic106C2411yescharacteristic
519C2×Dic106C2411yescharacteristic
520C2×Dic106C2411yescharacteristic
521C2×Dic106C2411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524C2×C8×C53C2411yescharacteristic
525C2×C8×C53C2411yescharacteristic
526C2×C8×C53C2411yescharacteristic
527C2×C8×C53C2411yescharacteristic
528C2×C8×C53C2411yescharacteristic
529C2×C8×C53C2411yescharacteristic
530C2×C8×C53C2411yescharacteristic
531C2×C8×C53C2411yescharacteristic
532C4⋊C4×C53C2×D411yescharacteristic
533C4⋊C4×C53C2×D411yescharacteristic
534C4⋊C4×C53C2×D411yescharacteristic
535C4⋊C4×C53C2×D411yescharacteristic
536C4⋊C4×C53C2×D411yescharacteristic
537C4⋊C4×C53C2×D411yescharacteristic
538C4⋊C4×C53C2×D411yescharacteristic
539C4⋊C4×C53C2×D411yescharacteristic
540C4⋊C4×C53C2×D411yescharacteristic
541C4⋊C4×C53C2×D411yescharacteristic
542C4⋊C4×C53C2×D411yescharacteristic
543C4⋊C4×C53C2×D411yescharacteristic
544C4⋊C4×C53C2×D411yescharacteristic
545C4⋊C4×C53C2×D411yescharacteristic
546C4⋊C4×C53C2×D411yescharacteristic
547C4⋊C4×C53C2×D411yescharacteristic
548C22⋊C4×C53C2×D411yescharacteristic
549C22⋊C4×C53C2×D411yescharacteristic
550C22⋊C4×C53C2×D411yescharacteristic
551C22⋊C4×C53C2×D411yescharacteristic
552C42×C53C2×D411yescharacteristic
553C42×C53C2×D411yescharacteristic
554C42×C53C2411yescharacteristic
555C42×C53C2411yescharacteristic
556C42×C53C2411yescharacteristic
557C42×C53C2411yescharacteristic
558C42×C53C2411yescharacteristic
559C42×C53C2411yescharacteristic
560C22⋊Dic53—21no—
561C22⋊Dic53—21no—
562C22⋊Dic53—21no—
563C22⋊Dic53—21no—
564#11719921—21no—
565#11719921—21no—
566#11719921—21no—
567#11719921—21no—
568#11719921—21no—
569#11719921—21no—
570#11719921—21no—
571#11719921—21no—
572#11719921—21no—
573#11719921—21no—
574#11719921—21no—
575#11719921—21no—
576#11719921—21no—
577#11719921—21no—
578#11719921—21no—
579#11719921—21no—
580#11719921—21no—
581#11719921—21no—
582#11719921—21no—
583#11719921—21no—
584#11719921—21no—
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—
596C4⋊Dic53—21no—
597C4⋊Dic53—21no—
598C4⋊Dic53—21no—
599C4⋊Dic53—21no—
600C4⋊Dic53—21no—
601C4⋊Dic53—21no—
602C4⋊Dic53—21no—
603C4⋊Dic53—21no—
604C4⋊Dic53—21no—
605C4⋊Dic53—21no—
606C4⋊Dic53—21no—
607C4⋊Dic53—21no—
608C4⋊Dic53—21no—
609C4⋊Dic53C2411yescharacteristic
610C4⋊Dic53C2411yescharacteristic
611C4⋊Dic53C2411yescharacteristic
612C4⋊Dic53C2411yescharacteristic
613C4⋊Dic53C2411yescharacteristic
614C4⋊Dic53C2411yescharacteristic
615#11719919—21no—
616#11719919—21no—
617#11719919—21no—
618#11719919—21no—
619#11719919—21no—
620#11719919—21no—
621#11719919—21no—
622#11719919—21no—
623#11719919—21no—
624#11719919—21no—
625#11719919—21no—
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639C4×Dic53—21no—
640C4×Dic53—21no—
641C4×Dic53—21no—
642C4×Dic53—21no—
643C4×Dic53—21no—
644C4×Dic53—21no—
645C4×Dic53—21no—
646C4×Dic53—21no—
647C4×Dic53—21no—
648C4×Dic53—21no—
649C4×Dic53—21no—
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655Dic212—41no—
656Dic212—41no—
657Dic212—41no—
658Dic212—41no—
659Dic212—41no—
660Dic212—41no—
661Dic212—41no—
662Dic212—41no—
663Dic212—41no—
664D424—41no—
665D424—41no—
666D424—41no—
667#11719913—41no—
668#11719913—41no—
669#11719913—41no—
670#11719913—41no—
671#11719913—41no—
672#11719913—41no—
673#11719913—41no—
674#11719913—41no—
675#11719913—41no—
676#11719913—41no—
677#11719913—41no—
678#11719913—41no—
679C23×C53C22×D411yescharacteristic
680C22×D53—21no—
681C22×D53—21no—
682C22×D53—21no—
683C22×D53—21no—
684C22×D53—42no—
685C22×D53—81no—
686C22×D53—81no—
687Q8×C53—41no—
688Q8×C53—41no—
689Q8×C53—41no—
690Q8×C53—41no—
691C2×C4×C53—21no—
692C2×C4×C53—21no—
693C2×C4×C53—41no—
694C2×C4×C53—41no—
695C2×C4×C53C22×D411yescharacteristic
696C2×C4×C53C22×D411yescharacteristic
697C2×C4×C53C22×D411yescharacteristic
698C2×C4×C53C22×D411yescharacteristic
699C2×C4×C53C22×D411yescharacteristic
700C2×C4×C53C22×D411yescharacteristic
701C2×C4×C53C22×D411yescharacteristic
702C2×C4×C53C22×D411yescharacteristic
703C2×C4×C53C22×D411yescharacteristic
704C2×C4×C53C22×D411yescharacteristic
705C2×C4×C53C22×D411yescharacteristic
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C2511yescharacteristic
709C22⋊D53—42no—
710C22⋊D53—81no—
711C2×Dic53—21no—
712C2×Dic53—21no—
713C2×Dic53—21no—
714C2×Dic53—21no—
715C2×Dic53—21no—
716C2×Dic53—21no—
717C2×Dic53—21no—
718C2×Dic53—21no—
719C2×Dic53—21no—
720C2×Dic53—21no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—42no—
724D212—21no—
725D212—21no—
726D212—21no—
727D212—21no—
728D212—21no—
729D212—21no—
730D212—21no—
731D212—21no—
732D212—42no—
733D212—81no—
734D212—81no—
735D212—81no—
736D212—81no—
737C4×D53—42no—
738C4×D53—42no—
739C4×D53—81no—
740C4×D53—81no—
741C4×D53—81no—
742C4×D53—81no—
743C4×D53—81no—
744C4×D53—81no—
745C4×D53—81no—
746C4×D53—81no—
747Dic106—21no—
748Dic106—21no—
749Dic106—21no—
750Dic106—21no—
751Dic106—21no—
752Dic106—21no—
753Dic106—21no—
754Dic106—21no—
755Dic106—21no—
756Dic106—21no—
757Dic106—21no—
758Dic106—21no—
759Dic106—42no—
760Dic106—81no—
761Dic106—81no—
762Dic106—81no—
763C8×C53—21no—
764C8×C53—21no—
765C8×C53—21no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770C8×C53—21no—
771#61925—531nomaximal, Sylow
772C22×C53—21no—
773C22×C53—21no—
774C22×C53—21no—
775C22×C53C23×D411yescharacteristic
776C2×D53—41no—
777C2×D53—41no—
778C2×D53—41no—
779C2×D53—41no—
780C2×D53—41no—
781C2×D53—41no—
782C2×D53—41no—
783C2×D53—41no—
784C2×D53—41no—
785C2×D53—41no—
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—162no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—21no—
795C4×C53—21no—
796C4×C53—21no—
797C4×C53—21no—
798C4×C53—21no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53#58511yescharacteristic
803C4×C53#58511yescharacteristic
804Dic53—41no—
805Dic53—41no—
806Dic53—41no—
807Dic53—41no—
808Dic53—41no—
809Dic53—41no—
810Dic53—41no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53—41no—
815Dic53—41no—
816#3555—531no—
817#3510—531no—
818#3402—531no—
819#3402—531no—
820#3401—531no—
821#3401—531no—
822#3400—531no—
823#3398—531no—
824#3394—531no—
825#3393—531no—
826#3377—531no—
827#3376—531no—
828#3375—531no—
829#3371—531no—
830#3370—531no—
831#3369—531no—
832#3365—531no—
833#3364—531no—
834#3225—531no—
835#3224—531no—
836#3223—531no—
837#3222—531no—
838#3215—531no—
839#3211—531no—
840#3127—531no—
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111—531no—
845#3107—531no—
846#2985D5311yescharacteristic, complemented
847C2×C53—41no—
848C2×C53#348711yescharacteristic
849C2×C53#358411yescharacteristic
850C2×C53#358611yescharacteristic
851D53—81no—
852D53—81no—
853D53—81no—
854D53—81no—
855#563—1061no—
856#563—1061no—
857#559—531no—
858#559—531no—
859#559—531no—
860#559—531no—
861Q82—531no—
862#557—531no—
863#557—531no—
864#557—531no—
865#556—531no—
866#556—531no—
867#556—531no—
868#556—531no—
869#556—531no—
870#556—531no—
871#556—531no—
872#556—1061no—
873#554—531no—
874#552—1061no—
875#551—1061no—
876#551—1061no—
877#551—1061no—
878#551—1061no—
879#544—1061no—
880#542—531no—
881#542—531no—
882#542—1061no—
883#542—1061no—
884#541—531no—
885#541—531no—
886#541—1061no—
887#541—1061no—
888#541—1061no—
889#536—531no—
890#535—531no—
891#533—531no—
892#533C2×D5311yescharacteristic
893#529—531no—
894#529—1061no—
895#529—1061no—
896C2×#124—531no—
897#519—531no—
898#518—531no—
899C4×#41—531no—
900#497—531no—
901#497—531no—
902#497—531no—
903#497—531no—
904#497—531no—
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494—531no—
911#492—531no—
912#491—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#489—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#488—531no—
922#487—531no—
923#486—531no—
924#485—531no—
925#485—531no—
926#485—531no—
927#482—531no—
928#479—531no—
929#479—531no—
930#479—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474—531no—
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464—531no—
954#464—531no—
955#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#462—531no—
963#462—531no—
964#462—531no—
965#462—531no—
966#462—531no—
967#462—531no—
968#461—531no—
969#461—531no—
970#461—531no—
971#461—531no—
972#460—531no—
973#460—531no—
974#460—531no—
975#459—531no—
976#452—531no—
977#452—531no—
978#452—531no—
979#451—531no—
980#451—531no—
981#451—531no—
982#450—531no—
983#450—531no—
984#450—531no—
985#449—531no—
986#448—531no—
987#447—531no—
988#446C2×D5311yescharacteristic, complemented
989#446C2×D5311yescharacteristic, complemented
990#446C2×D5311yescharacteristic, complemented
991#446C2×D5311yescharacteristic, complemented
992#446C2×D5311yescharacteristic, complemented
993#446C2×D5311yescharacteristic, complemented
994C8×Q8C2×D5311yescharacteristic, complemented
995C8×Q8C2×D5311yescharacteristic, complemented
996#442—531no—
997#442—531no—
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441—531no—
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440—531no—
1007#440—531no—
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16—531no—
1012C4×Q16—531no—
1013C4×SD16—531no—
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×D8—531no—
1020#433C2×D5311yescharacteristic
1021#433C2×D5311yescharacteristic
1022#433C2×D5311yescharacteristic
1023#433C2×D5311yescharacteristic
1024#432C2×D5311yescharacteristic
1025#431C2×D5311yescharacteristic
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41—531no—
1028C22×Q8—531no—
1029C22×D4—531no—
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
1035C2×Q16—531no—
1036C2×Q16—531no—
1037C2×Q16—531no—
1038C2×Q16—531no—
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16—531no—
1050C2×SD16—531no—
1051C2×D8—531no—
1052C2×D8—531no—
1053C2×D8—531no—
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—531no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8—1061no—
1066C4⋊Q8—1061no—
1067C4⋊Q8D21211yescharacteristic
1068C4⋊Q8D21211yescharacteristic
1069#127—531no—
1070#127—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#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—531no—
1093#125—531no—
1094#125—531no—
1095#125—1061no—
1096#125—1061no—
1097#125—1061no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#125—1061no—
1105#125—1061no—
1106#125—1061no—
1107#125D21211yescharacteristic
1108#125D21211yescharacteristic
1109#124—531no—
1110#124—531no—
1111#124—531no—
1112#124—531no—
1113#124—531no—
1114#124—531no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—531no—
1119#124—531no—
1120#124—1061no—
1121#124—1061no—
1122#124—1061no—
1123#124—1061no—
1124#124—1061no—
1125#124—1061no—
1126#124—1061no—
1127#124—1061no—
1128#123—1061no—
1129#123—1061no—
1130#123—1061no—
1131#123—1061no—
1132#123—1061no—
1133#123—1061no—
1134#123—1061no—
1135#123—1061no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141C22⋊Q8—531no—
1142C22⋊Q8—531no—
1143C22⋊Q8—531no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8D21211yescharacteristic
1160C22⋊Q8D21211yescharacteristic
1161C22⋊Q8D21211yescharacteristic
1162C22⋊Q8D21211yescharacteristic
1163#121—531no—
1164#121—1061no—
1165#121—1061no—
1166#120—1061no—
1167#120—1061no—
1168C4×Q8—531no—
1169C4×Q8—531no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—531no—
1180C4×Q8—531no—
1181C4×Q8—531no—
1182C4×Q8—531no—
1183C4×Q8—1061no—
1184C4×Q8—1061no—
1185C4×Q8—1061no—
1186C4×Q8—1061no—
1187C4×Q8—1061no—
1188C4×Q8—1061no—
1189C4×Q8—1061no—
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—531no—
1195C4×D4—531no—
1196C4×D4—531no—
1197C4×D4—531no—
1198C4×D4—531no—
1199C4×D4—531no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—531no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212#117—531no—
1213#117—1061no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117—1061no—
1219#117—1061no—
1220#117—1061no—
1221#117—1061no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117C22×D5311yescharacteristic
1226#117C22×D5311yescharacteristic
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—1061no—
1229C2×C22⋊C4—1061no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C42—1061no—
1233C2×C42C22×D5311yescharacteristic
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#106—531no—
1239#106—531no—
1240#106—531no—
1241#106—531no—
1242C4⋊C8C22×D5311yescharacteristic
1243C4⋊C8C22×D5311yescharacteristic
1244C4⋊C8C22×D5311yescharacteristic
1245C4⋊C8C22×D5311yescharacteristic
1246C4⋊C8C22×D5311yescharacteristic
1247C4⋊C8C22×D5311yescharacteristic
1248C4⋊C8C22×D5311yescharacteristic
1249C4⋊C8C22×D5311yescharacteristic
1250C4⋊C8C22×D5311yescharacteristic
1251C4⋊C8C22×D5311yescharacteristic
1252C4⋊C8C22×D5311yescharacteristic
1253C4⋊C8C22×D5311yescharacteristic
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103—531no—
1260#103—531no—
1261#103—531no—
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103—531no—
1267#103—531no—
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286C22⋊C8C22×D5311yescharacteristic
1287C22⋊C8C22×D5311yescharacteristic
1288C22⋊C8C22×D5311yescharacteristic
1289C22⋊C8C22×D5311yescharacteristic
1290#97C22×D5311yescharacteristic
1291#97C22×D5311yescharacteristic
1292#97C22×D5311yescharacteristic
1293#97C22×D5311yescharacteristic
1294#97C22×D5311yescharacteristic
1295#97C22×D5311yescharacteristic
1296C4×C8C22×D5311yescharacteristic
1297C4×C8C22×D5311yescharacteristic
1298C4×C8C22×D5311yescharacteristic
1299C4×C8C22×D5311yescharacteristic
1300C4×C8C22×D5311yescharacteristic
1301C4×C8C22×D5311yescharacteristic
1302C24—1061no—
1303#41—2121no—
1304#41—2121no—
1305C2×Q8—531no—
1306C2×Q8—531no—
1307C2×Q8—531no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—1061no—
1312C2×Q8—1061no—
1313C2×Q8—1061no—
1314C2×Q8—1061no—
1315C2×Q8—2121no—
1316C2×Q8—2121no—
1317C2×Q8C2×D21211yescharacteristic
1318C2×Q8C2×D21211yescharacteristic
1319C2×Q8C2×D21211yescharacteristic
1320C2×Q8C2×D21211yescharacteristic
1321C2×D4—531no—
1322C2×D4—531no—
1323C2×D4—531no—
1324C2×D4—531no—
1325C2×D4—1061no—
1326C2×D4—1061no—
1327C2×D4—1061no—
1328C2×D4—1061no—
1329C2×D4—1061no—
1330C2×D4—1061no—
1331C2×D4—1061no—
1332C2×D4—2121no—
1333C2×D4—2121no—
1334C22×C4—1061no—
1335C22×C4—1061no—
1336C22×C4—1061no—
1337C22×C4—1061no—
1338C22×C4—1061no—
1339C22×C4—1061no—
1340C22×C4—1061no—
1341C22×C4—1061no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4C2×D21211yescharacteristic
1346C22×C4C2×D21211yescharacteristic
1347C22×C4C23×D5311yescharacteristic
1348Q16—2121no—
1349Q16—2121no—
1350Q16—2121no—
1351Q16—2121no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—2121no—
1358SD16—2121no—
1359SD16—2121no—
1360SD16—2121no—
1361SD16—2121no—
1362SD16—2121no—
1363SD16—2121no—
1364SD16—2121no—
1365SD16—2121no—
1366SD16—2121no—
1367SD16—2121no—
1368SD16—2121no—
1369D8—2121no—
1370D8—2121no—
1371D8—2121no—
1372C2×C8C23×D5311yescharacteristic
1373C2×C8C23×D5311yescharacteristic
1374C2×C8C23×D5311yescharacteristic
1375C2×C8C23×D5311yescharacteristic
1376C2×C8C23×D5311yescharacteristic
1377C2×C8C23×D5311yescharacteristic
1378C2×C8C23×D5311yescharacteristic
1379C2×C8C23×D5311yescharacteristic
1380C4⋊C4—531no—
1381C4⋊C4—531no—
1382C4⋊C4—531no—
1383C4⋊C4—531no—
1384C4⋊C4—531no—
1385C4⋊C4—531no—
1386C4⋊C4—1061no—
1387C4⋊C4—1061no—
1388C4⋊C4—1061no—
1389C4⋊C4—1061no—
1390C4⋊C4—1061no—
1391C4⋊C4—1061no—
1392C4⋊C4—1061no—
1393C4⋊C4—1061no—
1394C4⋊C4—1061no—
1395C4⋊C4—1061no—
1396C4⋊C4—1061no—
1397C4⋊C4—1061no—
1398C4⋊C4—1061no—
1399C4⋊C4—1061no—
1400C4⋊C4—1061no—
1401C4⋊C4—1061no—
1402C4⋊C4—1061no—
1403C4⋊C4—1061no—
1404C4⋊C4—1061no—
1405C4⋊C4—1061no—
1406C4⋊C4—1061no—
1407C4⋊C4—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
1410C4⋊C4—1061no—
1411C4⋊C4—1061no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4C2×D21211yescharacteristic
1424C4⋊C4C2×D21211yescharacteristic
1425C4⋊C4C2×D21211yescharacteristic
1426C4⋊C4C2×D21211yescharacteristic
1427C4⋊C4C2×D21211yescharacteristic
1428C4⋊C4C2×D21211yescharacteristic
1429C4⋊C4C2×D21211yescharacteristic
1430C4⋊C4C2×D21211yescharacteristic
1431C4⋊C4C2×D21211yescharacteristic
1432C4⋊C4C2×D21211yescharacteristic
1433C4⋊C4C2×D21211yescharacteristic
1434C4⋊C4C2×D21211yescharacteristic
1435C4⋊C4C2×D21211yescharacteristic
1436C4⋊C4C2×D21211yescharacteristic
1437C4⋊C4C2×D21211yescharacteristic
1438C4⋊C4C2×D21211yescharacteristic
1439C22⋊C4—1061no—
1440C22⋊C4—1061no—
1441C22⋊C4—1061no—
1442C22⋊C4—1061no—
1443C22⋊C4—1061no—
1444C22⋊C4—1061no—
1445C22⋊C4—1061no—
1446C22⋊C4—1061no—
1447C22⋊C4—1061no—
1448C22⋊C4—1061no—
1449C22⋊C4—1061no—
1450C22⋊C4—1061no—
1451C22⋊C4—1061no—
1452C22⋊C4—1061no—
1453C22⋊C4—1061no—
1454C22⋊C4—1061no—
1455C22⋊C4—1061no—
1456C22⋊C4—1061no—
1457C22⋊C4—1061no—
1458C22⋊C4—1061no—
1459C22⋊C4—1061no—
1460C22⋊C4—1061no—
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⋊C4C2×D21211yescharacteristic
1476C22⋊C4C2×D21211yescharacteristic
1477C22⋊C4C2×D21211yescharacteristic
1478C22⋊C4C2×D21211yescharacteristic
1479C42—1061no—
1480C42—1061no—
1481C42—1061no—
1482C42—1061no—
1483C42—1061no—
1484C42—1061no—
1485C42—1061no—
1486C42—1061no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42C2×D21211yescharacteristic
1496C42C2×D21211yescharacteristic
1497C42C23×D5311yescharacteristic
1498C42C23×D5311yescharacteristic
1499C42C23×D5311yescharacteristic
1500C42C23×D5311yescharacteristic
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—1061no—
1504C23—1061no—
1505C23—1061no—
1506C23—1061no—
1507C23—4241no—
1508C23—4241no—
1509C23—2122no—
1510C23C22×D21211yescharacteristic
1511Q8—41no—
1512Q8—41no—
1513Q8—41no—
1514Q8—41no—
1515Q8—1061no—
1516Q8—1061no—
1517Q8—1061no—
1518Q8—1061no—
1519Q8—1061no—
1520Q8—1061no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—1061no—
1525Q8—1061no—
1526Q8—1061no—
1527Q8—4241no—
1528Q8—4241no—
1529Q8—4241no—
1530Q8—2122no—
1531D4—1061no—
1532D4—1061no—
1533D4—1061no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—1061no—
1538D4—1061no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—2122no—
1545D4—2122no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—1061no—
1551C2×C4—1061no—
1552C2×C4—1061no—
1553C2×C4—1061no—
1554C2×C4—1061no—
1555C2×C4—1061no—
1556C2×C4—1061no—
1557C2×C4—1061no—
1558C2×C4—1061no—
1559C2×C4—1061no—
1560C2×C4—1061no—
1561C2×C4—1061no—
1562C2×C4—4241no—
1563C2×C4—4241no—
1564C2×C4—4241no—
1565C2×C4—4241no—
1566C2×C4—4241no—
1567C2×C4—4241no—
1568C2×C4—4241no—
1569C2×C4—4241no—
1570C2×C4—2122no—
1571C2×C4—2122no—
1572C2×C4—2122no—
1573C2×C4C22×D21211yescharacteristic
1574C2×C4C22×D21211yescharacteristic
1575C2×C4C22×D21211yescharacteristic
1576C2×C4C22×D21211yescharacteristic
1577C2×C4C22×D21211yescharacteristic
1578C2×C4C22×D21211yescharacteristic
1579C2×C4C22×D21211yescharacteristic
1580C2×C4C22×D21211yescharacteristic
1581C2×C4C22×D21211yescharacteristic
1582C2×C4C22×D21211yescharacteristic
1583C2×C4C22×D21211yescharacteristic
1584C2×C4C22×D21211yescharacteristic
1585C2×C4C22×D21211yescharacteristic
1586C2×C4C24×D5311yescharacteristic
1587C8—21no—
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C8—21no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—8482no—
1599C22—2121no—
1600C22—2121no—
1601C22—2121no—
1602C22—2121no—
1603C22—2121no—
1604C22—2121no—
1605C22—2121no—
1606C22—2121no—
1607C22—2121no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C23×D21211yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—2121no—
1626C4—2121no—
1627C4—2121no—
1628C4—2121no—
1629C4—2121no—
1630C4—2121no—
1631C4—2121no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681146011yescharacteristic
1638C4#1681146011yescharacteristic
1639C2—41no—
1640C2—4241no—
1641C2—4241no—
1642C2—4241no—
1643C2—4241no—
1644C2#2028837411yescharacteristic
1645C2#2028948911yescharacteristic
1646C2#2028950311yescharacteristic
subgroupG/H
centerC22C23×D212
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#2985C2
socleC22×C53C23×D4
prime radical#20285811C2
hypercenter#2985D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #533 ◁ #2985

Complements

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

NH ≅ G/Ntype
1. #20289203C2semidirect
2. #20288613C2semidirect
3. #20287796C2semidirect
4. #20287796C2semidirect
5. #20287783C2semidirect
6. #20287783C2semidirect
7. #20287770C2semidirect
8. #20287748C2semidirect
9. #20287713C2semidirect
10. #20287704C2semidirect
11. #20287559C2semidirect
12. #20287544C2semidirect
13. #20287531C2semidirect
14. #20287485C2semidirect
15. #20287470C2semidirect
16. #20287457C2semidirect
17. #20287413C2semidirect
18. #20287402C2semidirect
19. #20285826C2semidirect
21. #20285800C2semidirect
22. #20285789C2semidirect
23. #20285720C2semidirect
24. #20285682C2semidirect
25. #20285016C2semidirect
26. #20284968C2semidirect
27. #20284946C2semidirect
28. #20284901C2semidirect
29. #20284826C2semidirect
30. #20284787C2semidirect
31. C53×#2985C2semidirect
38. Q8×Dic106C22semidirect
39. #16811352C22semidirect
40. #16811351C22semidirect
41. #16811351C22semidirect
46. #16811346C22semidirect
47. #16811346C22semidirect
48. #16811346C22semidirect
50. #16811333C22semidirect
79. #16811017C22semidirect
80. #16811017C22semidirect
85. #16811007C22semidirect
86. #16811003C22semidirect
88. #16810992C22semidirect
93. #16810983C22semidirect
97. #16810978C22semidirect
98. #16810974C22semidirect
104. #16810931C22semidirect
105. #16810931C22semidirect
106. #16810931C22semidirect
109. #16810924C22semidirect
110. #16810919C22semidirect
112. #16810909C22semidirect
113. #16810909C22semidirect
115. #16810904C22semidirect
125. #16810846C22semidirect
126. #16810846C22semidirect
127. #16810846C22semidirect
128. #16810846C22semidirect
129. #16810846C22semidirect
130. #16810846C22semidirect
136. #16810839C22semidirect
137. #16810839C22semidirect
138. #16810834C22semidirect
139. #16810834C22semidirect
140. #16810834C22semidirect
141. #16810834C22semidirect
142. #16810834C22semidirect
143. #16810834C22semidirect
146. #16810829C22semidirect
147. #16810829C22semidirect
165. #16810736C22semidirect
166. #16810731C22semidirect
167. #16810731C22semidirect
168. #16810731C22semidirect
169. #16810731C22semidirect
173. #16810725C22semidirect
174. #16810725C22semidirect
175. #16810725C22semidirect
176. C4×Dic212C22semidirect
177. C4×Dic212C22semidirect
178. C4×Dic212C22semidirect
179. C4×Dic212C22semidirect
180. C4×Dic212C22semidirect
184. C4×#11719913C22semidirect
185. C4×#11719913C22semidirect
186. C4×#11719913C22semidirect
189. C53×#446C22semidirect
190. C53×#446C22semidirect
191. C53×#446C22semidirect
192. C53×#446C22semidirect
193. C53×#446C22semidirect
194. C53×#446C22semidirect
195. C8×Q8×C53C22semidirect
196. C8×Q8×C53C22semidirect
846. #2985D53semidirect
988. #446C2×D53semidirect
989. #446C2×D53semidirect
990. #446C2×D53semidirect
991. #446C2×D53semidirect
992. #446C2×D53semidirect
993. #446C2×D53semidirect
994. C8×Q8C2×D53semidirect
995. C8×Q8C2×D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202892032
#202886132
#202877962
#202877832
#202877702
#202877482
#202877132
#202877042
#202875592
#202875442
#202875312
#202874852
#202874702
#202874572
#202874132
#202874022
#202858262
#202858112
#202858002
#202857892
#202857202
#202856822
#202850162
#202849682
#202849462
#202849012
#202848262
#202847872
C53×#29852
#6192553