Finite Group Databasebeta

← #28279576

Subgroups — #28279576

Order 13568.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289230C211yesmaximal, characteristic, complemented
2#20288728C211yesmaximal, characteristic, complemented
3#20287784C211yesmaximal, characteristic, complemented
4#20287779C211yesmaximal, characteristic, complemented
5#20287532C211yesmaximal, characteristic, complemented
6#20287528C211yesmaximal, characteristic, complemented
7#20286943C211yesmaximal, characteristic, complemented
8#20286941C211yesmaximal, characteristic, complemented
9#20286877C211yesmaximal, characteristic, complemented
10#20286866C211yesmaximal, characteristic, complemented
11#20286787C211yesmaximal, characteristic, complemented
12#20286778C211yesmaximal, characteristic, complemented
13#20286369C211yesmaximal, characteristic, complemented
14#20286367C211yesmaximal, characteristic, complemented
15#20286232C211yesmaximal, characteristic, complemented
16#20286222C211yesmaximal, characteristic, complemented
17#20286216C211yesmaximal, characteristic, complemented
18#20286207C211yesmaximal, characteristic, complemented
19#20286175C211yesmaximal, characteristic, complemented
20#20286101C211yesmaximal, characteristic, complemented
21#20285808C211yesmaximal, characteristic, complemented
22#20285803C211yesmaximal, characteristic, complemented
23#20285716C211yesmaximal, characteristic, complemented
24#20284949C211yesmaximal, characteristic, complemented
25#20284938C211yesmaximal, characteristic, complemented
26#20284868C211yesmaximal, characteristic, complemented
27#20284237C211yesmaximal, characteristic, complemented
28#20284234C211yesmaximal, characteristic, complemented
29#20284204C211yesmaximal, characteristic, complemented
30#20283883C211yesmaximal, characteristic, complemented
31C53×#3262C211yesmaximal, characteristic, complemented
32C2×#13133250C2211yescharacteristic, complemented
33C2×#13133249C2211yescharacteristic, complemented
34C2×#13133246C2211yescharacteristic, complemented
35C2×#13133241C2211yescharacteristic
36C22×#11719913C2211yescharacteristic, complemented
37C2×SD16×D53C2211yescharacteristic, complemented
38#16811369—21no—
39#16811365—21no—
40#16811358C2211yescharacteristic
41#16811356C2211yescharacteristic
42#16811353C2211yescharacteristic, complemented
43#16811347C2211yescharacteristic, complemented
44#16811344C2211yescharacteristic, complemented
45#16811342—21no—
46#16811342C2211yescharacteristic, complemented
47#16811340—21no—
48#16811340—21no—
49#16811337C2211yescharacteristic, complemented
50#16811335—21no—
51#16811286C2211yescharacteristic, complemented
52#16811285C2211yescharacteristic
53#16811283C2211yescharacteristic
54#16811281C2211yescharacteristic, complemented
55#16811279C2211yescharacteristic, complemented
56#16811270C2211yescharacteristic
57#16811266—21no—
58#16811264—21no—
59#16811264C2211yescharacteristic
60D4×D212C2211yescharacteristic
61#16811257C2211yescharacteristic
62#16811247C2211yescharacteristic
63#16811243—21no—
64#16811241—21no—
65#16811238C2211yescharacteristic, complemented
66#16811212—21no—
67#16811212—21no—
68#16811209—21no—
69#16811192C2211yescharacteristic
70#16811191C2211yescharacteristic
71#16811184—21no—
72#16811177C2211yescharacteristic, complemented
73#16811175—21no—
74#16811174C2211yescharacteristic
75#16811151C2211yescharacteristic
76#16811150—21no—
77#124×D53C2211yescharacteristic
78#16811100C2211yescharacteristic, complemented
79#16811099C2211yescharacteristic, complemented
80C4×#11719947C2211yescharacteristic, complemented
81#16811016C2211yescharacteristic, complemented
82#16811014C2211yescharacteristic, complemented
83#16811013C2211yescharacteristic
84#16811011C2211yescharacteristic
85#16811005C2211yescharacteristic, complemented
86#16811004C2211yescharacteristic, complemented
87#16810985C2211yescharacteristic, complemented
88#16810984C2211yescharacteristic, complemented
89#16810984C2211yescharacteristic, complemented
90#16810981C2211yescharacteristic, complemented
91#16810971C2211yescharacteristic
92#16810968C2211yescharacteristic
93#16810966C2211yescharacteristic, complemented
94#16810961C2211yescharacteristic, complemented
95#16810950C2211yescharacteristic
96#16810950C2211yescharacteristic, complemented
97#16810950C2211yescharacteristic, complemented
98#16810944C2211yescharacteristic
99#16810917C2211yescharacteristic, complemented
100#16810915C2211yescharacteristic, complemented
101#16810905C2211yescharacteristic, complemented
102#16810902C2211yescharacteristic, complemented
103#16810902C2211yescharacteristic, complemented
104#16810902C2211yescharacteristic, complemented
105#16810872C2211yescharacteristic, complemented
106#16810872C2211yescharacteristic, complemented
107#16810870C2211yescharacteristic
108#16810870C2211yescharacteristic, complemented
109#16810870C2211yescharacteristic, complemented
110#16810868C2211yescharacteristic, complemented
111#16810865C2211yescharacteristic, complemented
112#16810858C2211yescharacteristic
113#16810848C2211yescharacteristic, complemented
114#16810848C2211yescharacteristic, complemented
115#16810847C2211yescharacteristic, complemented
116#16810846C2211yescharacteristic, complemented
117#16810846C2211yescharacteristic, complemented
118#16810846C2211yescharacteristic, complemented
119#16810846C2211yescharacteristic, complemented
120#16810845C2211yescharacteristic, complemented
121#16810844C2211yescharacteristic, complemented
122#16810844C2211yescharacteristic, complemented
123#16810842C2211yescharacteristic, complemented
124#16810842C2211yescharacteristic, complemented
125#16810840C2211yescharacteristic, complemented
126#16810838C2211yescharacteristic, complemented
127#16810837C2211yescharacteristic, complemented
128#16810836C2211yescharacteristic, complemented
129#16810827C2211yescharacteristic, complemented
130#16810827C2211yescharacteristic, complemented
131#16810824C2211yescharacteristic
132#16810824C2211yescharacteristic
133#16810824C2211yescharacteristic, complemented
134#16810824C2211yescharacteristic, complemented
135#16810823C2211yescharacteristic, complemented
136#16810822C2211yescharacteristic
137#16810821C2211yescharacteristic
138#16810818C2211yescharacteristic, complemented
139#16810788C2211yescharacteristic, complemented
140#16810783C2211yescharacteristic, complemented
141#16810780C2211yescharacteristic, complemented
142#16810780C2211yescharacteristic, complemented
143#16810778C2211yescharacteristic, complemented
144#16810777C2211yescharacteristic, complemented
145#16810775C2211yescharacteristic
146#16810775C2211yescharacteristic, complemented
147#16810773C2211yescharacteristic, complemented
148#16810772C2211yescharacteristic
149#16810769C2211yescharacteristic, complemented
150#16810769C2211yescharacteristic, complemented
151#16810767C2211yescharacteristic, complemented
152#16810766C2211yescharacteristic, complemented
153#16810763C2211yescharacteristic
154#16810761C2211yescharacteristic
155#16810756C2211yescharacteristic, complemented
156#16810755C2211yescharacteristic, complemented
157#16810752C2211yescharacteristic, complemented
158#16810750C2211yescharacteristic, complemented
159#16810732C2211yescharacteristic, complemented
160#16810732C2211yescharacteristic, complemented
161#16810728C2211yescharacteristic, complemented
162#16810727C2211yescharacteristic, complemented
163#16810723C2211yescharacteristic, complemented
164#16810722C2211yescharacteristic, complemented
165#16810722C2211yescharacteristic, complemented
166#16810722C2211yescharacteristic, complemented
167#16810717C2211yescharacteristic, complemented
168C4×#11719925C2211yescharacteristic, complemented
169C4×#11719923C2211yescharacteristic, complemented
170#16810708C2211yescharacteristic, complemented
171#16810700C2211yescharacteristic, complemented
172#16810699C2211yescharacteristic, complemented
173#16810694C2211yescharacteristic, complemented
174#16810694C2211yescharacteristic, complemented
175#16810693C2211yescharacteristic, complemented
176#16810692C2211yescharacteristic, complemented
177#16810684C2211yescharacteristic, complemented
178#16810683C2211yescharacteristic, complemented
179#16810679C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810645C2211yescharacteristic, complemented
182#16810630C2211yescharacteristic, complemented
183#16810629C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic
185#16810626C2211yescharacteristic, complemented
186#16810620C2211yescharacteristic, complemented
187#16810618C2211yescharacteristic, complemented
188C53×#542C2211yescharacteristic
189C53×#542C2211yescharacteristic, complemented
190C53×#477C2211yescharacteristic, complemented
191C53×#477C2211yescharacteristic, complemented
192C53×#474C2211yescharacteristic, complemented
193C53×#474C2211yescharacteristic, complemented
194C53×#468C2211yescharacteristic
195C53×#468C2211yescharacteristic, complemented
196C53×#467C2211yescharacteristic, complemented
197C53×#466C2211yescharacteristic
198C53×#464C2211yescharacteristic, complemented
199C53×#464C2211yescharacteristic, complemented
200C53×#463C2211yescharacteristic, complemented
201C53×#463C2211yescharacteristic, complemented
202C53×#424C2211yescharacteristic, complemented
203C2×#11719949—21no—
204C2×#11719949C2311yescharacteristic
205C2×#11719945C2311yescharacteristic
206C2×#11719947C2311yescharacteristic
207C22×Dic106C2311yescharacteristic
208C2×Q8×D53C2311yescharacteristic
209C2×Q8×D53C2311yescharacteristic
210C22×D212—21no—
211C22×D212C2311yescharacteristic
212C2×D4×D53—21no—
213C2×D4×D53C2311yescharacteristic
214C2×D4×D53C2311yescharacteristic
215#13133250—42no—
216#13133249—42no—
217#13133246—42no—
218#13133241—42no—
219C2×Dic212C2311yescharacteristic
220C2×Dic212C2311yescharacteristic
221C2×#11719925C2311yescharacteristic
222C2×#11719925C2311yescharacteristic
223C2×#11719925C2311yescharacteristic
224C2×#11719913—42no—
225C2×#11719913C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×#11719913C2311yescharacteristic
228C2×#11719913C2311yescharacteristic
229C2×#11719913C2311yescharacteristic
230C2×#11719913C2311yescharacteristic
231C2×#11719923C2311yescharacteristic
232C2×#11719923C2311yescharacteristic
233C2×#11719923C2311yescharacteristic
234C2×#11719924C2311yescharacteristic
235C2×#11719924C2311yescharacteristic
236C2×#11719924C2311yescharacteristic
237SD16×D53—42no—
238C2×#11719922C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719922C2311yescharacteristic
241C2×#11719912C2311yescharacteristic
242C2×#11719912C2311yescharacteristic
243C2×#11719912C2311yescharacteristic
244C2×C8×D53C2311yescharacteristic
245#13133216—21no—
246#13133216—21no—
247#13133216C2311yescharacteristic
248#13133216C2311yescharacteristic
249#13133215—21no—
250#13133215—21no—
251#13133215C2311yescharacteristic
252#13133214C2311yescharacteristic
253#13133214C2311yescharacteristic
254#13133213C2311yescharacteristic
255#13133212—21no—
256#13133212—21no—
257#13133212—21no—
258#13133212—21no—
259#13133212D411yescharacteristic
260#13133210—21no—
261#13133210—21no—
262#13133210—21no—
263#13133210—21no—
264#13133210D411yescharacteristic
265#13133207—21no—
266#13133207D411yescharacteristic
267#13133206—21no—
268#13133206—21no—
269#13133206—21no—
270#13133206C2311yescharacteristic
271#13133206C2311yescharacteristic
272#13133205—21no—
273#13133205—21no—
274#13133205C2311yescharacteristic
275#13133205C2311yescharacteristic
276#13133204—21no—
277#13133204C2311yescharacteristic
278#13133204C2311yescharacteristic
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203—21no—
283#13133203—21no—
284#13133203—21no—
285#13133203—21no—
286#13133203—21no—
287#13133203—21no—
288#13133203D411yescharacteristic
289#13133202—21no—
290#13133202—21no—
291#13133202—21no—
292#13133202—21no—
293#13133202D411yescharacteristic
294#13133200—21no—
295#13133200—21no—
296#13133199—21no—
297#13133199—21no—
298#13133199D411yescharacteristic
299#13133197—21no—
300#13133197C2311yescharacteristic
301#13133197C2311yescharacteristic
302#13133197C2311yescharacteristic
303#13133196—21no—
304#13133195—21no—
305#13133195—21no—
306#13133195—21no—
307#13133195D411yescharacteristic
308#13133194—21no—
309#13133194—21no—
310#13133194—21no—
311#13133194—21no—
312#13133193—21no—
313#13133193C2311yescharacteristic
314#13133192—21no—
315#13133192—21no—
316#13133192—21no—
317#13133192—21no—
318#13133192—21no—
319#13133192C2311yescharacteristic
320#13133192C2311yescharacteristic
321#13133192C2311yescharacteristic
322#13133191—21no—
323#13133190—21no—
324#13133190—21no—
325#13133190—21no—
326#13133190—21no—
327#13133190—21no—
328#13133190D411yescharacteristic
329#13133189—21no—
330#13133189—21no—
331#13133188—21no—
332#13133188C2311yescharacteristic
333#13133187—21no—
334#13133187—21no—
335#13133187—21no—
336#13133187—21no—
337#13133187—21no—
338#13133187—21no—
339#13133187—21no—
340#13133187—21no—
341#13133185—21no—
342#13133185—21no—
343Q8×Dic53—21no—
344Q8×Dic53C2311yescharacteristic
345C4×Dic106—21no—
346C4×Dic106—21no—
347C4×Dic106C2311yescharacteristic
348C4×Dic106C2311yescharacteristic
349C4×Dic106C2311yescharacteristic
350C4×Dic106C2311yescharacteristic
351C4×Dic106C2311yescharacteristic
352#13133182—21no—
353#13133182—21no—
354#13133182—21no—
355#13133182—21no—
356#13133182—21no—
357#13133182C2311yescharacteristic
358#13133182C2311yescharacteristic
359#13133182C2311yescharacteristic
360C4×D212—21no—
361C4×D212—21no—
362C4×D212C2311yescharacteristic
363D4×Dic53—21no—
364D4×Dic53C2311yescharacteristic
365#13133179—21no—
366#13133179—21no—
367#13133179C2311yescharacteristic
368#13133179C2311yescharacteristic
369#13133179C2311yescharacteristic
370C4×C22⋊D53—21no—
371C4×C22⋊D53—21no—
372C4×C22⋊D53C2311yescharacteristic
373C4×C22⋊D53C2311yescharacteristic
374#13133177—21no—
375#13133177—21no—
376#13133177—21no—
377#13133176C2311yescharacteristic
378#13133175—21no—
379#13133175C2311yescharacteristic
380#13133175C2311yescharacteristic
381#13133174—21no—
382#13133174—21no—
383#13133174C2311yescharacteristic
384#13133173—21no—
385#13133173—21no—
386#13133173—21no—
387#13133173—21no—
388#13133173—21no—
389C22⋊C4×D53—21no—
390C22⋊C4×D53—21no—
391C22⋊C4×D53—21no—
392C22⋊C4×D53—21no—
393C2×C4×Dic53—21no—
394C42×D53C2311yescharacteristic
395#13133150C2311yescharacteristic
396#13133150C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133148C2311yescharacteristic
399C4⋊#88322C2311yescharacteristic
400C4⋊#88322C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133141C2311yescharacteristic
409#13133140C2311yescharacteristic
410#13133140C2311yescharacteristic
411#13133140C2311yescharacteristic
412#13133140C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133139C2311yescharacteristic
417#13133139C2311yescharacteristic
418#13133139C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429C22⋊#88322C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133128C2311yescharacteristic
436#13133127C2311yescharacteristic
437#13133127C2311yescharacteristic
438#13133127C2311yescharacteristic
439C4×#88322C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C2×Q16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C2×M16×C53C2311yescharacteristic
446C22×C8×C53C2311yescharacteristic
447C4⋊Q8×C53C2311yescharacteristic
448C4⋊Q8×C53C2311yescharacteristic
449#126×C53—21no—
450#126×C53—21no—
451#124×C53—21no—
452#124×C53—21no—
453#124×C53C2311yescharacteristic
454#124×C53C2311yescharacteristic
455#123×C53—21no—
456#123×C53—21no—
457C22⋊Q8×C53—21no—
458C22⋊Q8×C53—21no—
459C22⋊Q8×C53C2311yescharacteristic
460C22⋊Q8×C53C2311yescharacteristic
461#121×C53C2311yescharacteristic
462#121×C53C2311yescharacteristic
463C4×Q8×C53C2311yescharacteristic
464C4×Q8×C53C2311yescharacteristic
465C4×D4×C53C2311yescharacteristic
466C4×D4×C53C2311yescharacteristic
467#117×C53C2311yescharacteristic
468#107×C53C2311yescharacteristic
469#107×C53C2311yescharacteristic
470#107×C53C2311yescharacteristic
471#107×C53C2311yescharacteristic
472C4⋊C8×C53C2311yescharacteristic
473C4⋊C8×C53C2311yescharacteristic
474C4⋊C8×C53C2311yescharacteristic
475C4⋊C8×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53—21no—
486C23×D53—21no—
487C2×Q8×C53—21no—
488C2×Q8×C53—21no—
489C2×Q8×C53C2411yescharacteristic
490C2×Q8×C53C2411yescharacteristic
491C2×D4×C53—21no—
492C2×D4×C53—21no—
493C2×D4×C53C2411yescharacteristic
494C2×D4×C53C2411yescharacteristic
495C22×C4×C53—21no—
496C22×C4×C53—21no—
497C22×C4×C53C2411yescharacteristic
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—21no—
502C2×C22⋊D53—21no—
503C2×C22⋊D53—21no—
504C2×C22⋊D53—21no—
505C2×C22⋊D53C2×D411yescharacteristic
506C2×C22⋊D53C2×D411yescharacteristic
507C22×Dic53—21no—
508C22×Dic53—21no—
509C22×Dic53—21no—
510#11719949—41no—
511#11719949—41no—
512#11719949—82no—
513Q8×D53—22no—
514Q8×D53—41no—
515Q8×D53—41no—
516Q8×D53—41no—
517#11719947—22no—
518#11719947—41no—
519D4×D53—41no—
520D4×D53—41no—
521D4×D53—41no—
522D4×D53—41no—
523D4×D53—82no—
524#11719945—41no—
525#11719945—41no—
526C2×D212—21no—
527C2×D212—21no—
528C2×D212—21no—
529C2×D212—21no—
530C2×D212—21no—
531C2×D212—21no—
532C2×D212—21no—
533C2×D212—21no—
534C2×D212—21no—
535C2×D212—41no—
536C2×D212—41no—
537C2×D212—82no—
538C2×D212C2×D411yescharacteristic
539C2×D212C2411yescharacteristic
540C2×D212C2411yescharacteristic
541C2×D212C2411yescharacteristic
542C2×C4×D53—21no—
543C2×C4×D53—21no—
544C2×C4×D53—21no—
545C2×C4×D53—21no—
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53C2×D411yescharacteristic
550C2×C4×D53C2×D411yescharacteristic
551C2×C4×D53C2411yescharacteristic
552C2×C4×D53C2411yescharacteristic
553C2×Dic106—22no—
554C2×Dic106—21no—
555C2×Dic106—21no—
556C2×Dic106—21no—
557C2×Dic106—21no—
558C2×Dic106—21no—
559C2×Dic106—41no—
560C2×Dic106C2×D411yescharacteristic
561C2×Dic106C2411yescharacteristic
562C2×Dic106C2411yescharacteristic
563C2×Dic106C2411yescharacteristic
564Q16×C53—41no—
565SD16×C53—41no—
566SD16×C53—41no—
567D8×C53—41no—
568M16×C53—41no—
569C2×C8×C53—41no—
570C2×C8×C53C2411yescharacteristic
571C2×C8×C53C2411yescharacteristic
572C2×C8×C53C2411yescharacteristic
573C2×C8×C53C2411yescharacteristic
574C4⋊C4×C53—21no—
575C4⋊C4×C53—21no—
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53—21no—
579C4⋊C4×C53—21no—
580C4⋊C4×C53C2×D411yescharacteristic
581C4⋊C4×C53C2×D411yescharacteristic
582C4⋊C4×C53C2411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C4⋊C4×C53C2411yescharacteristic
585C4⋊C4×C53C2411yescharacteristic
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C22⋊C4×C53—21no—
592C22⋊C4×C53—21no—
593C22⋊C4×C53—21no—
594C22⋊C4×C53—21no—
595C22⋊C4×C53—21no—
596C22⋊C4×C53C2×D411yescharacteristic
597C22⋊C4×C53C2×D411yescharacteristic
598C42×C53—21no—
599C42×C53—21no—
600C42×C53C2411yescharacteristic
601C42×C53C2411yescharacteristic
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607C22⋊Dic53—21no—
608C22⋊Dic53—21no—
609C22⋊Dic53C2×D411yescharacteristic
610C22⋊Dic53C2×D411yescharacteristic
611#11719925—22no—
612#11719925—41no—
613#11719925—41no—
614#11719924—41no—
615#11719924—41no—
616#11719924—41no—
617#11719923—22no—
618#11719923—41no—
619#11719923—41no—
620#11719922—41no—
621#11719922—41no—
622#11719922—41no—
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#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921—21no—
638#11719921—21no—
639#11719921—21no—
640#11719921—21no—
641#11719921—21no—
642#11719921—21no—
643#11719921C2×D411yescharacteristic
644#11719921C2×D411yescharacteristic
645#11719921C2×D411yescharacteristic
646#11719921C2×D411yescharacteristic
647#11719921C2×D411yescharacteristic
648#11719921C2×D411yescharacteristic
649C4⋊Dic53—21no—
650C4⋊Dic53—21no—
651C4⋊Dic53—21no—
652C4⋊Dic53—21no—
653C4⋊Dic53C2×D411yescharacteristic
654C4⋊Dic53C2×D411yescharacteristic
655C4⋊Dic53C2411yescharacteristic
656C4⋊Dic53C2411yescharacteristic
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#11719919—21no—
669#11719919C2×D411yescharacteristic
670#11719919C2×D411yescharacteristic
671#11719919C2×D411yescharacteristic
672#11719919C2×D411yescharacteristic
673#11719919C2×D411yescharacteristic
674#11719919C2×D411yescharacteristic
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×Dic53C2×D411yescharacteristic
687C4×Dic53C2×D411yescharacteristic
688C4×Dic53C2411yescharacteristic
689C4×Dic53C2411yescharacteristic
690C2×#88322C2411yescharacteristic
691C2×#88322C2411yescharacteristic
692C2×#88322C2411yescharacteristic
693C2×#88322C2411yescharacteristic
694Dic212—22no—
695Dic212—41no—
696#11719913—22no—
697#11719913—22no—
698#11719913—22no—
699#11719913—41no—
700#11719913—41no—
701#11719913—41no—
702#11719912—41no—
703#11719912—41no—
704#11719912—41no—
705C8×D53—41no—
706C23×C53—21no—
707C23×C53—21no—
708C23×C53C22×D411yescharacteristic
709C22×D53—21no—
710C22×D53—21no—
711C22×D53—21no—
712C22×D53—42no—
713C22×D53—81no—
714C22×D53—81no—
715C22×D53—81no—
716C22×D53—81no—
717C22×D53—81no—
718C22×D53—81no—
719C22×D53—81no—
720C22×D53—81no—
721C22×D53C22×D411yescharacteristic
722C22×D53C22×D411yescharacteristic
723Q8×C53—21no—
724Q8×C53—21no—
725Q8×C53—21no—
726Q8×C53—21no—
727Q8×C53—81no—
728Q8×C53—81no—
729D4×C53—21no—
730D4×C53—21no—
731D4×C53—21no—
732D4×C53—21no—
733D4×C53—81no—
734D4×C53—81no—
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—21no—
742C2×C4×C53—21no—
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×C53C22×D411yescharacteristic
750C2×C4×C53C2511yescharacteristic
751C22⋊D53—41no—
752C22⋊D53—41no—
753C22⋊D53—42no—
754C22⋊D53—81no—
755C22⋊D53—81no—
756C22⋊D53—81no—
757C22⋊D53—81no—
758C22⋊D53—81no—
759C22⋊D53—81no—
760C2×Dic53—21no—
761C2×Dic53—21no—
762C2×Dic53—21no—
763C2×Dic53—21no—
764C2×Dic53—21no—
765C2×Dic53—42no—
766C2×Dic53—42no—
767C2×Dic53—42no—
768C2×Dic53C22×D411yescharacteristic
769C2×Dic53C22×D411yescharacteristic
770C2×Dic53C22×D411yescharacteristic
771C2×Dic53C22×D411yescharacteristic
772C2×Dic53C22×D411yescharacteristic
773C2×Dic53C22×D411yescharacteristic
774D212—21no—
775D212—21no—
776D212—21no—
777D212—21no—
778D212—21no—
779D212—21no—
780D212—41no—
781D212—42no—
782D212—42no—
783D212—81no—
784D212—81no—
785D212—81no—
786D212—81no—
787D212—81no—
788D212—81no—
789D212—81no—
790C4×D53—21no—
791C4×D53—21no—
792C4×D53—21no—
793C4×D53—21no—
794C4×D53—41no—
795C4×D53—41no—
796C4×D53—42no—
797C4×D53—81no—
798C4×D53—81no—
799C4×D53—81no—
800C4×D53—81no—
801C4×D53—81no—
802C4×D53—81no—
803Dic106—21no—
804Dic106—21no—
805Dic106—21no—
806Dic106—21no—
807Dic106—21no—
808Dic106—41no—
809Dic106—42no—
810Dic106—42no—
811Dic106—81no—
812Dic106—81no—
813Dic106—81no—
814Dic106H(5,𝔽2)12yes—
815C8×C53—21no—
816C8×C53—21no—
817C8×C53—21no—
818C8×C53—21no—
819#88322—21no—
820#88322—21no—
821#88322—21no—
822#88322—21no—
823#62092—531nomaximal, Sylow
824C22×C53—21no—
825C22×C53—21no—
826C22×C53—21no—
827C22×C53—41no—
828C22×C53—41no—
829C22×C53—41no—
830C22×C53—41no—
831C22×C53—41no—
832C22×C53—41no—
833C22×C53C23×D411yescharacteristic
834C2×D53—21no—
835C2×D53—21no—
836C2×D53—21no—
837C2×D53—21no—
838C2×D53—21no—
839C2×D53—21no—
840C2×D53—41no—
841C2×D53—41no—
842C2×D53—41no—
843C2×D53—41no—
844C2×D53—41no—
845C2×D53—41no—
846C2×D53—41no—
847C2×D53—41no—
848C2×D53—41no—
849C2×D53—162no—
850C2×D53—162no—
851C2×D53—162no—
852C4×C53—21no—
853C4×C53—21no—
854C4×C53—21no—
855C4×C53—21no—
856C4×C53—21no—
857C4×C53—41no—
858C4×C53—41no—
859C4×C53—41no—
860C4×C53—41no—
861C4×C53—41no—
862C4×C53—41no—
863C4×C53C2×H(5,𝔽2)11yescharacteristic
864C4×C53#58511yescharacteristic
865Dic53—21no—
866Dic53—21no—
867Dic53—21no—
868Dic53—21no—
869Dic53—22no—
870Dic53—21no—
871Dic53—21no—
872Dic53—41no—
873Dic53—41no—
874Dic53—41no—
875Dic53—41no—
876#3558—531no—
877#3518—531no—
878#3401—531no—
879#3401—531no—
880#3375—531no—
881#3375—531no—
882#3324—531no—
883#3324—531no—
884#3319—531no—
885#3319—531no—
886#3313—531no—
887#3313—531no—
888#3277—531no—
889#3277—531no—
890#3266—531no—
891#3266—531no—
892#3265—531no—
893#3265—531no—
894#3262—531no—
895#3262D5311yescharacteristic, complemented
896#3254—531no—
897#3224—531no—
898#3224—531no—
899#3215—531no—
900#3121—531no—
901#3121—531no—
902#3115—531no—
903#3043—531no—
904#3043—531no—
905#3040—531no—
906#2995—531no—
907C2×C53—41no—
908C2×C53—81no—
909C2×C53—81no—
910C2×C53#348811yescharacteristic
911C2×C53#358511yescharacteristic
912C2×C53#358611yescharacteristic
913D53—41no—
914D53—41no—
915D53—81no—
916D53—81no—
917D53—81no—
918C2×#137—531no—
919C2×#137—531no—
920C2×#137—531no—
921C2×AGL(1,ℤ/8)—531no—
922C22×SD16—531no—
923C22×SD16—531no—
924#562—1061no—
925H(3,𝔽4)—1061no—
926#559—531no—
927#559—531no—
928Q82—531no—
929#556—531no—
930#556—531no—
931#556—531no—
932#556—1061no—
933#556—1061no—
934#556—1061no—
935#555—531no—
936#555—1061no—
937D4×Q8—531no—
938#548—531no—
939#548—531no—
940#548—531no—
941#548—531no—
942#546—531no—
943#546—531no—
944#546—1061no—
945#546—1061no—
946D42—531no—
947D42—531no—
948#542—531no—
949#542—531no—
950#542—1061no—
951#542—1061no—
952#542C2×D5311yescharacteristic
953#542C2×D5311yescharacteristic, complemented
954#538—1061no—
955#538—1061no—
956#538—1061no—
957#535—531no—
958#535—531no—
959#534—1061no—
960#533—531no—
961#533—1061no—
962#532—531no—
963#529—531no—
964#529—1061no—
965C2×#124—531no—
966#519—531no—
967#519—531no—
968C4×#41—531no—
969#497—531no—
970#497—531no—
971#496—531no—
972#496—531no—
973#495—531no—
974#495—531no—
975#489—531no—
976#489—531no—
977#489—531no—
978#489—531no—
979#486—531no—
980#486—531no—
981#485—531no—
982#485—531no—
983#482—531no—
984#482—531no—
985#482—531no—
986#482—531no—
987#477—531no—
988#477—531no—
989#477C2×D5311yescharacteristic, complemented
990#477C2×D5311yescharacteristic, complemented
991#475—531no—
992#474—531no—
993#474—531no—
994#474—531no—
995#474C2×D5311yescharacteristic, complemented
996#474C2×D5311yescharacteristic, complemented
997#468—531no—
998#468—531no—
999#468—531no—
1000#468—531no—
1001#468—531no—
1002#468—531no—
1003#468C2×D5311yescharacteristic
1004#468C2×D5311yescharacteristic, complemented
1005#467—531no—
1006#467C2×D5311yescharacteristic, complemented
1007#466—531no—
1008#466C2×D5311yescharacteristic
1009#464—531no—
1010#464—531no—
1011#464—531no—
1012#464—531no—
1013#464—531no—
1014#464—531no—
1015#464—531no—
1016#464—531no—
1017#464—531no—
1018#464—531no—
1019#464—531no—
1020#464—531no—
1021#464C2×D5311yescharacteristic, complemented
1022#464C2×D5311yescharacteristic, complemented
1023#463—531no—
1024#463—531no—
1025#463—531no—
1026#463—531no—
1027#463C2×D5311yescharacteristic, complemented
1028#463C2×D5311yescharacteristic, complemented
1029#461—531no—
1030#461—531no—
1031#460—531no—
1032#460—531no—
1033#460—531no—
1034#460—531no—
1035#460—531no—
1036#460—531no—
1037#460—531no—
1038#459—531no—
1039#452—531no—
1040#452—531no—
1041#451—531no—
1042#451—531no—
1043#451—531no—
1044#451—531no—
1045#450—531no—
1046#450—531no—
1047#450—531no—
1048#450—531no—
1049#449—531no—
1050#449—531no—
1051#449—531no—
1052#449—531no—
1053#448—531no—
1054#448—531no—
1055#447—531no—
1056#447—531no—
1057#446—531no—
1058#446—531no—
1059#442—531no—
1060#442—531no—
1061#441—531no—
1062#441—531no—
1063#440—531no—
1064#440—531no—
1065#440—531no—
1066#440—531no—
1067C4×Q16—531no—
1068C4×Q16—531no—
1069C4×SD16—531no—
1070C4×SD16—531no—
1071#436—531no—
1072#436—531no—
1073#435—531no—
1074#435—531no—
1075#435—531no—
1076#435—531no—
1077#433—531no—
1078#433—531no—
1079#432—531no—
1080#424—531no—
1081#424C2×D5311yescharacteristic, complemented
1082#423—531no—
1083#419—531no—
1084#418—531no—
1085#418—531no—
1086#418—531no—
1087#416—531no—
1088#416—531no—
1089C53#6209211yescharacteristic, complemented, Sylow
1090C2×#41—531no—
1091C2×#41—531no—
1092C2×#41—531no—
1093C2×#41—1061no—
1094C22×Q8—531no—
1095C22×Q8—531no—
1096C22×Q8—531no—
1097C22×D4—531no—
1098C22×D4—531no—
1099C22×D4—531no—
1100C22×D4—1061no—
1101C22×D4—1061no—
1102#137—2122no—
1103#137—2122no—
1104#137—2122no—
1105AGL(1,ℤ/8)—2122no—
1106C2×Q16—531no—
1107C2×Q16—531no—
1108C2×Q16—531no—
1109C2×Q16—531no—
1110C2×Q16—531no—
1111C2×Q16C22×D5311yescharacteristic
1112C2×SD16—531no—
1113C2×SD16—531no—
1114C2×SD16—531no—
1115C2×SD16—531no—
1116C2×SD16—531no—
1117C2×SD16—531no—
1118C2×SD16—531no—
1119C2×SD16—531no—
1120C2×SD16—531no—
1121C2×SD16—531no—
1122C2×SD16—531no—
1123C2×SD16—531no—
1124C2×SD16—2122no—
1125C2×SD16—2122no—
1126C2×SD16C22×D5311yescharacteristic
1127C2×SD16C22×D5311yescharacteristic
1128C2×D8—531no—
1129C2×D8—531no—
1130C2×D8—531no—
1131C2×D8C22×D5311yescharacteristic
1132C2×M16—531no—
1133C2×M16—531no—
1134C2×M16—531no—
1135C2×M16C22×D5311yescharacteristic
1136C22×C8—531no—
1137C22×C8C22×D5311yescharacteristic
1138C4⋊Q8—531no—
1139C4⋊Q8—531no—
1140C4⋊Q8—531no—
1141C4⋊Q8—1061no—
1142C4⋊Q8—1061no—
1143C4⋊Q8—1061no—
1144C4⋊Q8—1061no—
1145C4⋊Q8C22×D5311yescharacteristic
1146C4⋊Q8C22×D5311yescharacteristic
1147#127—531no—
1148#127—531no—
1149#127—531no—
1150#126—21no—
1151#126—21no—
1152#126—531no—
1153#126—531no—
1154#126—1061no—
1155#126—1061no—
1156#126—1061no—
1157#126—1061no—
1158#126—1061no—
1159#126—1061no—
1160#126—1061no—
1161#126—1061no—
1162#125—531no—
1163#125—1061no—
1164#124—21no—
1165#124—21no—
1166#124—531no—
1167#124—531no—
1168#124—531no—
1169#124—531no—
1170#124—531no—
1171#124—531no—
1172#124—531no—
1173#124—1061no—
1174#124—1061no—
1175#124—1061no—
1176#124—1061no—
1177#124—1061no—
1178#124—1061no—
1179#124—1061no—
1180#124—1061no—
1181#124—1061no—
1182#124—1061no—
1183#124—1061no—
1184#124—1061no—
1185#124—1061no—
1186#124—1061no—
1187#124—1061no—
1188#124C22×D5311yescharacteristic
1189#124C22×D5311yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—531no—
1193#123—531no—
1194#123—1061no—
1195#123—1061no—
1196#123—1061no—
1197#123—1061no—
1198#123—1061no—
1199#123—1061no—
1200#123—1061no—
1201#123—1061no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—531no—
1205C22⋊Q8—531no—
1206C22⋊Q8—531no—
1207C22⋊Q8—531no—
1208C22⋊Q8—531no—
1209C22⋊Q8—1061no—
1210C22⋊Q8—1061no—
1211C22⋊Q8—1061no—
1212C22⋊Q8—1061no—
1213C22⋊Q8—1061no—
1214C22⋊Q8—1061no—
1215C22⋊Q8—1061no—
1216C22⋊Q8—1061no—
1217C22⋊Q8—1061no—
1218C22⋊Q8—1061no—
1219C22⋊Q8C22×D5311yescharacteristic
1220C22⋊Q8C22×D5311yescharacteristic
1221#121—531no—
1222#121—531no—
1223#121—531no—
1224#121—531no—
1225#121—531no—
1226#121—1061no—
1227#121—1061no—
1228#121—1061no—
1229#121—1061no—
1230#121—1061no—
1231#121—1061no—
1232#121—1061no—
1233#121—1061no—
1234#121—1061no—
1235#121—1061no—
1236#121—1061no—
1237#121—1061no—
1238#121—1061no—
1239#121—1061no—
1240#121C22×D5311yescharacteristic
1241#121C22×D5311yescharacteristic
1242#120—1061no—
1243#120—1061no—
1244#120—1061no—
1245#120—1061no—
1246#120—1061no—
1247#120—1061no—
1248#120—1061no—
1249#120—1061no—
1250#120—1061no—
1251#120—1061no—
1252C4×Q8—531no—
1253C4×Q8—531no—
1254C4×Q8—531no—
1255C4×Q8—531no—
1256C4×Q8—531no—
1257C4×Q8—531no—
1258C4×Q8—531no—
1259C4×Q8—531no—
1260C4×Q8—531no—
1261C4×Q8—1061no—
1262C4×Q8—1061no—
1263C4×Q8—1061no—
1264C4×Q8—1061no—
1265C4×Q8—1061no—
1266C4×Q8—1061no—
1267C4×Q8—1061no—
1268C4×Q8—1061no—
1269C4×Q8C22×D5311yescharacteristic
1270C4×Q8C22×D5311yescharacteristic
1271C4×D4—531no—
1272C4×D4—531no—
1273C4×D4—531no—
1274C4×D4—531no—
1275C4×D4—531no—
1276C4×D4—531no—
1277C4×D4—531no—
1278C4×D4—1061no—
1279C4×D4—1061no—
1280C4×D4—1061no—
1281C4×D4—1061no—
1282C4×D4—1061no—
1283C4×D4—1061no—
1284C4×D4—1061no—
1285C4×D4—1061no—
1286C4×D4—1061no—
1287C4×D4—1061no—
1288C4×D4C22×D5311yescharacteristic
1289C4×D4C22×D5311yescharacteristic
1290#117—531no—
1291#117—531no—
1292#117—531no—
1293#117—531no—
1294#117—1061no—
1295#117—1061no—
1296#117—1061no—
1297#117—1061no—
1298#117—1061no—
1299#117—1061no—
1300#117—1061no—
1301#117—1061no—
1302#117C22×D5311yescharacteristic
1303C2×C22⋊C4—1061no—
1304C2×C22⋊C4—1061no—
1305C2×C22⋊C4—1061no—
1306C2×C22⋊C4—1061no—
1307C2×C42—531no—
1308C2×C42—1061no—
1309#107—531no—
1310#107—531no—
1311#107C22×D5311yescharacteristic
1312#107C22×D5311yescharacteristic
1313#107C22×D5311yescharacteristic
1314#107C22×D5311yescharacteristic
1315#106—531no—
1316#106—531no—
1317C4⋊C8—531no—
1318C4⋊C8—531no—
1319C4⋊C8—531no—
1320C4⋊C8—531no—
1321C4⋊C8—531no—
1322C4⋊C8—531no—
1323C4⋊C8C22×D5311yescharacteristic
1324C4⋊C8C22×D5311yescharacteristic
1325C4⋊C8C22×D5311yescharacteristic
1326C4⋊C8C22×D5311yescharacteristic
1327#103—531no—
1328#103—531no—
1329#103—531no—
1330#103—531no—
1331#103—531no—
1332#103—531no—
1333#103—531no—
1334#103—531no—
1335#103—531no—
1336#103—531no—
1337#103C22×D5311yescharacteristic
1338#103C22×D5311yescharacteristic
1339#103C22×D5311yescharacteristic
1340#103C22×D5311yescharacteristic
1341#102—531no—
1342#102—531no—
1343#102—531no—
1344#102—531no—
1345#102—531no—
1346#102—531no—
1347#102—531no—
1348#102—531no—
1349#102—531no—
1350#102—531no—
1351#102—531no—
1352#102—531no—
1353#102—531no—
1354#102—531no—
1355#102C22×D5311yescharacteristic
1356#102C22×D5311yescharacteristic
1357#102C22×D5311yescharacteristic
1358#102C22×D5311yescharacteristic
1359C22⋊C8—531no—
1360C22⋊C8—531no—
1361C22⋊C8—531no—
1362C22⋊C8—531no—
1363C22⋊C8—531no—
1364C22⋊C8—531no—
1365#97—531no—
1366#97—531no—
1367#97—531no—
1368#97—531no—
1369C4×C8—531no—
1370C4×C8—531no—
1371C24—1061no—
1372C24—1061no—
1373C24—1061no—
1374#41—1062no—
1375#41—4242no—
1376#41—2121no—
1377#41—2121no—
1378#41—2121no—
1379#41—2121no—
1380#41—2121no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—531no—
1384C2×Q8—531no—
1385C2×Q8—531no—
1386C2×Q8—531no—
1387C2×Q8—1061no—
1388C2×Q8—1061no—
1389C2×Q8—1061no—
1390C2×Q8—1061no—
1391C2×Q8—1062no—
1392C2×Q8—1061no—
1393C2×Q8—1062no—
1394C2×Q8—2121no—
1395C2×Q8—2121no—
1396C2×Q8—2121no—
1397C2×Q8—2121no—
1398C2×Q8C23×D5311yescharacteristic
1399C2×Q8C23×D5311yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—531no—
1403C2×D4—531no—
1404C2×D4—531no—
1405C2×D4—531no—
1406C2×D4—531no—
1407C2×D4—531no—
1408C2×D4—1061no—
1409C2×D4—1061no—
1410C2×D4—1061no—
1411C2×D4—1061no—
1412C2×D4—1061no—
1413C2×D4—1061no—
1414C2×D4—1061no—
1415C2×D4—1061no—
1416C2×D4—1061no—
1417C2×D4—1061no—
1418C2×D4—1061no—
1419C2×D4—1061no—
1420C2×D4—1061no—
1421C2×D4—1061no—
1422C2×D4—1061no—
1423C2×D4—1061no—
1424C2×D4—4242no—
1425C2×D4—4242no—
1426C2×D4—2121no—
1427C2×D4—2121no—
1428C2×D4—2121no—
1429C2×D4—2121no—
1430C2×D4—2121no—
1431C2×D4—2121no—
1432C2×D4C23×D5311yescharacteristic
1433C2×D4C23×D5311yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—531no—
1437C22×C4—531no—
1438C22×C4—531no—
1439C22×C4—531no—
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×C4C23×D5311yescharacteristic
1451Q16—41no—
1452Q16—1062no—
1453Q16—1062no—
1454Q16—2121no—
1455Q16—2121no—
1456Q16—2121no—
1457SD16—41no—
1458SD16—41no—
1459SD16—1062no—
1460SD16—1062no—
1461SD16—1062no—
1462SD16—1062no—
1463SD16—2121no—
1464SD16—2121no—
1465SD16—2121no—
1466SD16—2121no—
1467SD16—2121no—
1468SD16—2121no—
1469SD16—2121no—
1470SD16—2121no—
1471D8—41no—
1472D8—2121no—
1473D8—2121no—
1474D8—2121no—
1475M16—41no—
1476M16—2121no—
1477M16—2121no—
1478M16—2121no—
1479C2×C8—41no—
1480C2×C8—531no—
1481C2×C8—531no—
1482C2×C8—531no—
1483C2×C8—531no—
1484C2×C8—2121no—
1485C2×C8C23×D5311yescharacteristic
1486C2×C8C23×D5311yescharacteristic
1487C2×C8C23×D5311yescharacteristic
1488C2×C8C23×D5311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—531no—
1496C4⋊C4—531no—
1497C4⋊C4—531no—
1498C4⋊C4—531no—
1499C4⋊C4—531no—
1500C4⋊C4—531no—
1501C4⋊C4—531no—
1502C4⋊C4—531no—
1503C4⋊C4—531no—
1504C4⋊C4—531no—
1505C4⋊C4—1061no—
1506C4⋊C4—1061no—
1507C4⋊C4—1061no—
1508C4⋊C4—1061no—
1509C4⋊C4—1061no—
1510C4⋊C4—1061no—
1511C4⋊C4—1061no—
1512C4⋊C4—1061no—
1513C4⋊C4—1061no—
1514C4⋊C4—1061no—
1515C4⋊C4—1061no—
1516C4⋊C4—1061no—
1517C4⋊C4—1061no—
1518C4⋊C4—1061no—
1519C4⋊C4—1061no—
1520C4⋊C4—1061no—
1521C4⋊C4D4×D5311yescharacteristic
1522C4⋊C4D4×D5311yescharacteristic
1523C4⋊C4C23×D5311yescharacteristic
1524C4⋊C4C23×D5311yescharacteristic
1525C4⋊C4C23×D5311yescharacteristic
1526C4⋊C4C23×D5311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—531no—
1538C22⋊C4—531no—
1539C22⋊C4—531no—
1540C22⋊C4—531no—
1541C22⋊C4—531no—
1542C22⋊C4—531no—
1543C22⋊C4—531no—
1544C22⋊C4—531no—
1545C22⋊C4—1061no—
1546C22⋊C4—1061no—
1547C22⋊C4—1061no—
1548C22⋊C4—1061no—
1549C22⋊C4—1061no—
1550C22⋊C4—1061no—
1551C22⋊C4—1061no—
1552C22⋊C4—1061no—
1553C22⋊C4—1061no—
1554C22⋊C4—1061no—
1555C22⋊C4—1061no—
1556C22⋊C4—1061no—
1557C22⋊C4—1061no—
1558C22⋊C4—1061no—
1559C22⋊C4—1061no—
1560C22⋊C4—1061no—
1561C22⋊C4—1061no—
1562C22⋊C4—1061no—
1563C22⋊C4—1061no—
1564C22⋊C4—1061no—
1565C22⋊C4—1061no—
1566C22⋊C4—1061no—
1567C22⋊C4—1061no—
1568C22⋊C4—1061no—
1569C22⋊C4—1061no—
1570C22⋊C4—1061no—
1571C22⋊C4—1061no—
1572C22⋊C4D4×D5311yescharacteristic
1573C22⋊C4D4×D5311yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—531no—
1577C42—531no—
1578C42—531no—
1579C42—531no—
1580C42—1061no—
1581C42—1061no—
1582C42—1061no—
1583C42—1061no—
1584C42—1061no—
1585C42—1061no—
1586C42—1061no—
1587C42—1061no—
1588C42—1061no—
1589C42—1061no—
1590C42—1061no—
1591C42C23×D5311yescharacteristic
1592C42C23×D5311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—531no—
1596C23—531no—
1597C23—1061no—
1598C23—1061no—
1599C23—1061no—
1600C23—4241no—
1601C23—4241no—
1602C23—4241no—
1603C23—4241no—
1604C23—4241no—
1605C23—4241no—
1606C23—4241no—
1607C23—4241no—
1608C23—2122no—
1609C23C2×D4×D5311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—81no—
1616Q8—532no—
1617Q8—1061no—
1618Q8—1061no—
1619Q8—1061no—
1620Q8—1061no—
1621Q8—1061no—
1622Q8—4241no—
1623Q8—4241no—
1624Q8—4241no—
1625Q8—2121no—
1626Q8—2122no—
1627Q8—2122no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—81no—
1633D4—81no—
1634D4—1061no—
1635D4—1061no—
1636D4—1061no—
1637D4—1061no—
1638D4—1061no—
1639D4—1061no—
1640D4—4241no—
1641D4—4241no—
1642D4—4241no—
1643D4—4241no—
1644D4—4241no—
1645D4—4241no—
1646D4—4241no—
1647D4—4241no—
1648D4—4241no—
1649D4—4241no—
1650D4—4241no—
1651D4—4241no—
1652D4—4241no—
1653D4—2121no—
1654D4—2122no—
1655D4—2122no—
1656D4—2121no—
1657D4—2121no—
1658D4—2122no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—531no—
1670C2×C4—531no—
1671C2×C4—531no—
1672C2×C4—531no—
1673C2×C4—531no—
1674C2×C4—531no—
1675C2×C4—1061no—
1676C2×C4—1061no—
1677C2×C4—1061no—
1678C2×C4—1061no—
1679C2×C4—1061no—
1680C2×C4—1061no—
1681C2×C4—1061no—
1682C2×C4—1061no—
1683C2×C4—1061no—
1684C2×C4—4241no—
1685C2×C4—4241no—
1686C2×C4—4241no—
1687C2×C4—4241no—
1688C2×C4—4241no—
1689C2×C4—4241no—
1690C2×C4—2121no—
1691C2×C4—2121no—
1692C2×C4—2122no—
1693C2×C4—2122no—
1694C2×C4—2122no—
1695C2×C4—2122no—
1696C2×C4C2×D4×D5311yescharacteristic
1697C2×C4C2×D4×D5311yescharacteristic
1698C2×C4C2×D4×D5311yescharacteristic
1699C2×C4C2×D4×D5311yescharacteristic
1700C2×C4C2×D4×D5311yescharacteristic
1701C2×C4C24×D5311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1061no—
1707C8—1061no—
1708C8—1061no—
1709C8—1061no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—8482no—
1720C22—8482no—
1721C22—8482no—
1722C22—1061no—
1723C22—1061no—
1724C22—1061no—
1725C22—1061no—
1726C22—1061no—
1727C22—1061no—
1728C22—2121no—
1729C22—2121no—
1730C22—2121no—
1731C22—2121no—
1732C22—2121no—
1733C22—2121no—
1734C22—2121no—
1735C22—2121no—
1736C22—2121no—
1737C22C22×D4×D5311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1061no—
1750C4—1061no—
1751C4—1062no—
1752C4—1061no—
1753C4—1061no—
1754C4—1061no—
1755C4—1061no—
1756C4—2121no—
1757C4—2121no—
1758C4—2121no—
1759C4—2121no—
1760C4H(5,𝔽2)×D5311yescharacteristic
1761C4#1681146011yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—4241no—
1766C2—4241no—
1767C2—4241no—
1768C2—2121no—
1769C2—2121no—
1770C2#2028837911yescharacteristic
1771C2#2028949011yescharacteristic
1772C2#2028950011yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3262C2
socleC22×C53C23×D4
hypercenter#3262D53
hypocenterC53#62092
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #20289230C2semidirect
2. #20288728C2semidirect
3. #20287784C2semidirect
4. #20287779C2semidirect
5. #20287532C2semidirect
6. #20287528C2semidirect
7. #20286943C2semidirect
8. #20286941C2semidirect
9. #20286877C2semidirect
10. #20286866C2semidirect
11. #20286787C2semidirect
12. #20286778C2semidirect
13. #20286369C2semidirect
14. #20286367C2semidirect
15. #20286232C2semidirect
16. #20286222C2semidirect
17. #20286216C2semidirect
18. #20286207C2semidirect
19. #20286175C2semidirect
20. #20286101C2semidirect
21. #20285808C2semidirect
22. #20285803C2semidirect
23. #20285716C2semidirect
24. #20284949C2semidirect
25. #20284938C2semidirect
26. #20284868C2semidirect
27. #20284237C2semidirect
28. #20284234C2semidirect
29. #20284204C2semidirect
30. #20283883C2semidirect
31. C53×#3262C2semidirect
32. C2×#13133250C22semidirect
33. C2×#13133249C22semidirect
34. C2×#13133246C22semidirect
36. C22×#11719913C22semidirect
37. C2×SD16×D53C22semidirect
42. #16811353C22semidirect
43. #16811347C22semidirect
44. #16811344C22semidirect
46. #16811342C22semidirect
49. #16811337C22semidirect
51. #16811286C22semidirect
54. #16811281C22semidirect
55. #16811279C22semidirect
65. #16811238C22semidirect
72. #16811177C22semidirect
78. #16811100C22semidirect
79. #16811099C22semidirect
80. C4×#11719947C22semidirect
81. #16811016C22semidirect
82. #16811014C22semidirect
85. #16811005C22semidirect
86. #16811004C22semidirect
87. #16810985C22semidirect
88. #16810984C22semidirect
89. #16810984C22semidirect
90. #16810981C22semidirect
93. #16810966C22semidirect
94. #16810961C22semidirect
96. #16810950C22semidirect
97. #16810950C22semidirect
99. #16810917C22semidirect
100. #16810915C22semidirect
101. #16810905C22semidirect
102. #16810902C22semidirect
103. #16810902C22semidirect
104. #16810902C22semidirect
105. #16810872C22semidirect
106. #16810872C22semidirect
108. #16810870C22semidirect
109. #16810870C22semidirect
110. #16810868C22semidirect
111. #16810865C22semidirect
113. #16810848C22semidirect
114. #16810848C22semidirect
115. #16810847C22semidirect
116. #16810846C22semidirect
117. #16810846C22semidirect
118. #16810846C22semidirect
119. #16810846C22semidirect
120. #16810845C22semidirect
121. #16810844C22semidirect
122. #16810844C22semidirect
123. #16810842C22semidirect
124. #16810842C22semidirect
125. #16810840C22semidirect
126. #16810838C22semidirect
127. #16810837C22semidirect
128. #16810836C22semidirect
129. #16810827C22semidirect
130. #16810827C22semidirect
133. #16810824C22semidirect
134. #16810824C22semidirect
135. #16810823C22semidirect
138. #16810818C22semidirect
139. #16810788C22semidirect
140. #16810783C22semidirect
141. #16810780C22semidirect
142. #16810780C22semidirect
143. #16810778C22semidirect
144. #16810777C22semidirect
146. #16810775C22semidirect
147. #16810773C22semidirect
149. #16810769C22semidirect
150. #16810769C22semidirect
151. #16810767C22semidirect
152. #16810766C22semidirect
155. #16810756C22semidirect
156. #16810755C22semidirect
157. #16810752C22semidirect
158. #16810750C22semidirect
159. #16810732C22semidirect
160. #16810732C22semidirect
161. #16810728C22semidirect
162. #16810727C22semidirect
163. #16810723C22semidirect
164. #16810722C22semidirect
165. #16810722C22semidirect
166. #16810722C22semidirect
167. #16810717C22semidirect
168. C4×#11719925C22semidirect
169. C4×#11719923C22semidirect
170. #16810708C22semidirect
171. #16810700C22semidirect
172. #16810699C22semidirect
173. #16810694C22semidirect
174. #16810694C22semidirect
175. #16810693C22semidirect
176. #16810692C22semidirect
177. #16810684C22semidirect
178. #16810683C22semidirect
179. #16810679C22semidirect
180. #16810648C22semidirect
181. #16810645C22semidirect
182. #16810630C22semidirect
183. #16810629C22semidirect
185. #16810626C22semidirect
186. #16810620C22semidirect
187. #16810618C22semidirect
189. C53×#542C22semidirect
190. C53×#477C22semidirect
191. C53×#477C22semidirect
192. C53×#474C22semidirect
193. C53×#474C22semidirect
195. C53×#468C22semidirect
196. C53×#467C22semidirect
198. C53×#464C22semidirect
199. C53×#464C22semidirect
200. C53×#463C22semidirect
201. C53×#463C22semidirect
202. C53×#424C22semidirect
895. #3262D53semidirect
953. #542C2×D53semidirect
989. #477C2×D53semidirect
990. #477C2×D53semidirect
995. #474C2×D53semidirect
996. #474C2×D53semidirect
1004. #468C2×D53semidirect
1006. #467C2×D53semidirect
1021. #464C2×D53semidirect
1022. #464C2×D53semidirect
1027. #463C2×D53semidirect
1028. #463C2×D53semidirect
1081. #424C2×D53semidirect
1089. C53#62092semidirect

Maximal subgroups

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

subgroupindex
#202892302
#202887282
#202877842
#202877792
#202875322
#202875282
#202869432
#202869412
#202868772
#202868662
#202867872
#202867782
#202863692
#202863672
#202862322
#202862222
#202862162
#202862072
#202861752
#202861012
#202858082
#202858032
#202857162
#202849492
#202849382
#202848682
#202842372
#202842342
#202842042
#202838832
C53×#32622
#6209253