Finite Group Databasebeta

← #28279580

Subgroups — #28279580

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#20289235C211yesmaximal, characteristic, complemented
2#20288733C211yesmaximal, characteristic, complemented
3#20287783C211yesmaximal, characteristic, complemented
4#20287775C211yesmaximal, characteristic, complemented
5#20287529C211yesmaximal, characteristic, complemented
6#20286945C211yesmaximal, characteristic, complemented
7#20286943C211yesmaximal, characteristic, complemented
8#20286870C211yesmaximal, characteristic, complemented
9#20286868C211yesmaximal, characteristic, complemented
10#20286780C211yesmaximal, characteristic, complemented
11#20286778C211yesmaximal, characteristic, complemented
12#20286371C211yesmaximal, characteristic, complemented
13#20286367C211yesmaximal, characteristic, complemented
14#20286227C211yesmaximal, characteristic, complemented
15#20286220C211yesmaximal, characteristic, complemented
16#20286212C211yesmaximal, characteristic, complemented
17#20286205C211yesmaximal, characteristic, complemented
18#20286178C211yesmaximal, characteristic, complemented
19#20286175C211yesmaximal, characteristic, complemented
20#20286104C211yesmaximal, characteristic, complemented
21#20285812C211yesmaximal, characteristic, complemented
22#20285810C211yesmaximal, characteristic, complemented
23#20285719C211yesmaximal, characteristic, complemented
24#20284950C211yesmaximal, characteristic, complemented
25#20284942C211yesmaximal, characteristic, complemented
26#20284864C211yesmaximal, characteristic, complemented
27#20284234C211yesmaximal, characteristic, complemented
28#20284231C211yesmaximal, characteristic, complemented
29#20284206C211yesmaximal, characteristic, complemented
30#20283884C211yesmaximal, characteristic, complemented
31C53×#3375C211yesmaximal, characteristic, complemented
32C2×#13133249C2211yescharacteristic, complemented
33C2×#13133249C2211yescharacteristic, complemented
34C2×#13133246C2211yescharacteristic, complemented
35C2×#13133244C2211yescharacteristic
36C2×SD16×D53C2211yescharacteristic, complemented
37C2×SD16×D53C2211yescharacteristic, complemented
38#16811370—21no—
39#16811365—21no—
40#16811358C2211yescharacteristic
41#16811347—21no—
42#16811347—21no—
43#16811347C2211yescharacteristic, complemented
44#16811347C2211yescharacteristic, complemented
45#16811346—21no—
46#16811346C2211yescharacteristic, complemented
47#16811339—21no—
48#16811339C2211yescharacteristic, complemented
49Q8×D212C2211yescharacteristic, complemented
50#16811285C2211yescharacteristic
51#16811285C2211yescharacteristic, complemented
52#16811285C2211yescharacteristic, complemented
53#16811281C2211yescharacteristic
54#16811269—21no—
55#16811268C2211yescharacteristic
56#16811266C2211yescharacteristic
57#16811265—21no—
58D4×D212C2211yescharacteristic
59#16811258C2211yescharacteristic
60#16811247—21no—
61#16811247—21no—
62#16811247C2211yescharacteristic, complemented
63#16811247C2211yescharacteristic, complemented
64#16811245C2211yescharacteristic
65#16811238C2211yescharacteristic
66#16811209—21no—
67#16811207—21no—
68#16811206—21no—
69#16811191C2211yescharacteristic
70#16811186C2211yescharacteristic
71#16811184—21no—
72#16811178—21no—
73#16811178C2211yescharacteristic, complemented
74#16811170C2211yescharacteristic
75#16811160—21no—
76#16811160C2211yescharacteristic
77#124×D53C2211yescharacteristic
78#16811099C2211yescharacteristic, complemented
79#16811099C2211yescharacteristic, complemented
80C4×#11719949C2211yescharacteristic, complemented
81#16811018C2211yescharacteristic, complemented
82#16811017C2211yescharacteristic, complemented
83#16811012C2211yescharacteristic
84#16811010C2211yescharacteristic
85#16811007C2211yescharacteristic, complemented
86#16811005C2211yescharacteristic, complemented
87#16810985C2211yescharacteristic, complemented
88#16810985C2211yescharacteristic, complemented
89#16810971C2211yescharacteristic
90#16810966C2211yescharacteristic, complemented
91#16810962C2211yescharacteristic, complemented
92#16810950C2211yescharacteristic
93#16810950C2211yescharacteristic, complemented
94#16810946C2211yescharacteristic
95#16810946C2211yescharacteristic, complemented
96#16810917C2211yescharacteristic, complemented
97#16810917C2211yescharacteristic, complemented
98#16810915C2211yescharacteristic, complemented
99#16810906C2211yescharacteristic, complemented
100#16810902C2211yescharacteristic, complemented
101#16810900C2211yescharacteristic, complemented
102#16810900C2211yescharacteristic, complemented
103#16810872C2211yescharacteristic, complemented
104#16810870C2211yescharacteristic
105#16810870C2211yescharacteristic, complemented
106#16810870C2211yescharacteristic, complemented
107#16810870C2211yescharacteristic, complemented
108#16810868C2211yescharacteristic
109#16810868C2211yescharacteristic, complemented
110#16810868C2211yescharacteristic, complemented
111#16810865C2211yescharacteristic, complemented
112#16810863C2211yescharacteristic, complemented
113#16810860C2211yescharacteristic
114#16810858C2211yescharacteristic
115#16810848C2211yescharacteristic, complemented
116#16810848C2211yescharacteristic, complemented
117#16810847C2211yescharacteristic, complemented
118#16810846C2211yescharacteristic, complemented
119#16810846C2211yescharacteristic, complemented
120#16810845C2211yescharacteristic, complemented
121#16810845C2211yescharacteristic, complemented
122#16810845C2211yescharacteristic, complemented
123#16810844C2211yescharacteristic, complemented
124#16810844C2211yescharacteristic, complemented
125#16810843C2211yescharacteristic, complemented
126#16810842C2211yescharacteristic, complemented
127#16810841C2211yescharacteristic, complemented
128#16810839C2211yescharacteristic, complemented
129#16810839C2211yescharacteristic, complemented
130#16810838C2211yescharacteristic, complemented
131#16810837C2211yescharacteristic, complemented
132#16810835C2211yescharacteristic, complemented
133#16810829C2211yescharacteristic, complemented
134#16810828C2211yescharacteristic, complemented
135#16810824C2211yescharacteristic
136#16810823C2211yescharacteristic
137#16810822C2211yescharacteristic, complemented
138#16810822C2211yescharacteristic, complemented
139#16810821C2211yescharacteristic, complemented
140#16810820C2211yescharacteristic
141#16810817C2211yescharacteristic, complemented
142#16810788C2211yescharacteristic, complemented
143#16810786C2211yescharacteristic, complemented
144#16810780C2211yescharacteristic, complemented
145#16810780C2211yescharacteristic, complemented
146#16810780C2211yescharacteristic, complemented
147#16810777C2211yescharacteristic, complemented
148#16810775C2211yescharacteristic
149#16810775C2211yescharacteristic
150#16810775C2211yescharacteristic, complemented
151#16810775C2211yescharacteristic, complemented
152#16810771C2211yescharacteristic, complemented
153#16810771C2211yescharacteristic, complemented
154#16810769C2211yescharacteristic, complemented
155#16810767C2211yescharacteristic, complemented
156#16810763C2211yescharacteristic
157#16810760C2211yescharacteristic
158#16810758C2211yescharacteristic, complemented
159#16810758C2211yescharacteristic, complemented
160#16810754C2211yescharacteristic, complemented
161#16810736C2211yescharacteristic, complemented
162#16810733C2211yescharacteristic, complemented
163#16810731C2211yescharacteristic, complemented
164#16810728C2211yescharacteristic, complemented
165#16810721C2211yescharacteristic, complemented
166#16810721C2211yescharacteristic, complemented
167C4×#11719925C2211yescharacteristic, complemented
168C4×#11719913C2211yescharacteristic, complemented
169C4×#11719923C2211yescharacteristic, complemented
170#16810702C2211yescharacteristic, complemented
171#16810700C2211yescharacteristic, complemented
172#16810696C2211yescharacteristic, complemented
173#16810696C2211yescharacteristic, complemented
174#16810693C2211yescharacteristic, complemented
175#16810693C2211yescharacteristic, complemented
176#16810685C2211yescharacteristic, complemented
177#16810682C2211yescharacteristic, complemented
178#16810678C2211yescharacteristic, complemented
179#16810648C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810645C2211yescharacteristic, complemented
182#16810630C2211yescharacteristic, complemented
183#16810626C2211yescharacteristic
184#16810626C2211yescharacteristic, complemented
185#16810626C2211yescharacteristic, complemented
186#16810618C2211yescharacteristic, complemented
187#16810616C2211yescharacteristic, complemented
188C53×#559C2211yescharacteristic
189Q82×C53C2211yescharacteristic, complemented
190C53×#489C2211yescharacteristic, complemented
191C53×#489C2211yescharacteristic, complemented
192C53×#486C2211yescharacteristic
193C53×#477C2211yescharacteristic, complemented
194C53×#474C2211yescharacteristic, complemented
195C53×#474C2211yescharacteristic, complemented
196C53×#464C2211yescharacteristic, complemented
197C53×#464C2211yescharacteristic, complemented
198C53×#460C2211yescharacteristic
199C53×#446C2211yescharacteristic, complemented
200C53×#440C2211yescharacteristic, complemented
201C53×#440C2211yescharacteristic, complemented
202C4×Q16×C53C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719949C2311yescharacteristic
205C2×#11719945—21no—
206C2×#11719947C2311yescharacteristic
207C2×Q8×D53C2311yescharacteristic
208C2×Q8×D53C2311yescharacteristic
209C2×Q8×D53C2311yescharacteristic
210C22×D212—21no—
211C2×D4×D53—21no—
212C2×D4×D53C2311yescharacteristic
213C2×D4×D53C2311yescharacteristic
214C2×D4×D53C2311yescharacteristic
215#13133249—42no—
216#13133249—42no—
217#13133246—42no—
218#13133244—42no—
219C2×Dic212C2311yescharacteristic
220C2×Dic212C2311yescharacteristic
221C2×#11719925C2311yescharacteristic
222C2×#11719925C2311yescharacteristic
223C2×#11719925C2311yescharacteristic
224C2×#11719913C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×#11719913C2311yescharacteristic
228C2×#11719913C2311yescharacteristic
229C2×#11719923C2311yescharacteristic
230C2×#11719923C2311yescharacteristic
231C2×#11719923C2311yescharacteristic
232C2×#11719923C2311yescharacteristic
233C2×#11719924C2311yescharacteristic
234C2×#11719924C2311yescharacteristic
235C2×#11719924C2311yescharacteristic
236SD16×D53—42no—
237SD16×D53—42no—
238C2×D424C2311yescharacteristic
239C2×D424C2311yescharacteristic
240C2×#11719922C2311yescharacteristic
241C2×#11719922C2311yescharacteristic
242C2×#11719912C2311yescharacteristic
243C2×#11719912C2311yescharacteristic
244C2×#11719912C2311yescharacteristic
245C2×#11719912C2311yescharacteristic
246C2×C8×D53C2311yescharacteristic
247C2×C8×D53C2311yescharacteristic
248#13133217—21no—
249#13133217C2311yescharacteristic
250#13133216C2311yescharacteristic
251#13133214C2311yescharacteristic
252#13133213C2311yescharacteristic
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#13133212D411yescharacteristic
262#13133212D411yescharacteristic
263#13133211—21no—
264#13133210—21no—
265#13133208—21no—
266#13133208D411yescharacteristic
267#13133206—21no—
268#13133206—21no—
269#13133206—21no—
270#13133206—21no—
271#13133206—21no—
272#13133206—21no—
273#13133206—21no—
274#13133206D411yescharacteristic
275#13133206C2311yescharacteristic
276#13133205—21no—
277#13133205—21no—
278#13133205—21no—
279#13133205—21no—
280#13133205C2311yescharacteristic
281#13133205C2311yescharacteristic
282#13133205C2311yescharacteristic
283#13133205C2311yescharacteristic
284#13133204C2311yescharacteristic
285#13133203—21no—
286#13133203—21no—
287#13133203—21no—
288#13133203—21no—
289#13133203—21no—
290#13133202—21no—
291#13133202—21no—
292#13133202—21no—
293#13133202—21no—
294#13133202—21no—
295#13133202D411yescharacteristic
296#13133202D411yescharacteristic
297#13133201—21no—
298#13133200—21no—
299#13133199—21no—
300#13133197—21no—
301#13133197—21no—
302#13133197—21no—
303#13133197—21no—
304#13133197—21no—
305#13133197C2311yescharacteristic
306#13133197C2311yescharacteristic
307#13133197C2311yescharacteristic
308#13133197C2311yescharacteristic
309#13133197C2311yescharacteristic
310#13133196—21no—
311#13133195—21no—
312#13133194—21no—
313#13133193—21no—
314#13133193—21no—
315#13133193—21no—
316#13133193—21no—
317#13133193D411yescharacteristic
318#13133193C2311yescharacteristic
319#13133192—21no—
320#13133192—21no—
321#13133192—21no—
322#13133192—21no—
323#13133192D411yescharacteristic
324#13133192C2311yescharacteristic
325#13133192C2311yescharacteristic
326#13133192C2311yescharacteristic
327#13133192C2311yescharacteristic
328#13133191—21no—
329#13133191—21no—
330#13133190—21no—
331#13133190—21no—
332#13133190—21no—
333#13133190—21no—
334#13133190—21no—
335#13133189—21no—
336#13133189—21no—
337#13133188—21no—
338#13133188C2311yescharacteristic
339#13133188C2311yescharacteristic
340#13133187—21no—
341#13133187—21no—
342#13133187—21no—
343#13133187—21no—
344#13133187—21no—
345#13133187—21no—
346#13133185—21no—
347#13133185—21no—
348#13133185—21no—
349#13133185—21no—
350Q8×Dic53—21no—
351Q8×Dic53—21no—
352Q8×Dic53—21no—
353Q8×Dic53C2311yescharacteristic
354C4×Dic106—21no—
355C4×Dic106—21no—
356C4×Dic106C2311yescharacteristic
357C4×Dic106C2311yescharacteristic
358C4×Dic106C2311yescharacteristic
359#13133182—21no—
360#13133182—21no—
361#13133182C2311yescharacteristic
362#13133182C2311yescharacteristic
363C4×D212—21no—
364C4×D212—21no—
365C4×D212—21no—
366C4×D212—21no—
367C4×D212—21no—
368C4×D212C2311yescharacteristic
369C4×D212C2311yescharacteristic
370C4×D212C2311yescharacteristic
371C4×D212C2311yescharacteristic
372C4×D212C2311yescharacteristic
373C4×D212C2311yescharacteristic
374#13133179—21no—
375#13133179—21no—
376#13133179C2311yescharacteristic
377C4×C22⋊D53—21no—
378#13133177—21no—
379#13133175—21no—
380#13133175—21no—
381#13133175—21no—
382#13133175—21no—
383#13133175—21no—
384#13133175—21no—
385#13133175C2311yescharacteristic
386#13133175C2311yescharacteristic
387#13133175C2311yescharacteristic
388#13133174—21no—
389#13133174—21no—
390#13133174C2311yescharacteristic
391#13133174C2311yescharacteristic
392C2×#11719921—21no—
393C22⋊C4×D53—21no—
394C22⋊C4×D53—21no—
395C22⋊C4×D53—21no—
396C42×D53—21no—
397C42×D53C2311yescharacteristic
398#13133150C2311yescharacteristic
399#13133150C2311yescharacteristic
400#13133150C2311yescharacteristic
401#13133149C2311yescharacteristic
402#13133148C2311yescharacteristic
403C4⋊#88322C2311yescharacteristic
404C4⋊#88322C2311yescharacteristic
405C4⋊#88322C2311yescharacteristic
406#13133146C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133129C2311yescharacteristic
436#13133129C2311yescharacteristic
437#13133129C2311yescharacteristic
438#13133128C2311yescharacteristic
439#13133128C2311yescharacteristic
440C4×#88322C2311yescharacteristic
441C2×Q16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C4⋊Q8×C53—21no—
445C4⋊Q8×C53—21no—
446C4⋊Q8×C53—21no—
447C4⋊Q8×C53C2311yescharacteristic
448C4⋊Q8×C53C2311yescharacteristic
449C4⋊Q8×C53C2311yescharacteristic
450#127×C53C2311yescharacteristic
451#124×C53—21no—
452#124×C53C2311yescharacteristic
453#124×C53C2311yescharacteristic
454#123×C53—21no—
455#123×C53—21no—
456C4×Q8×C53—21no—
457C4×Q8×C53C2311yescharacteristic
458C4×Q8×C53C2311yescharacteristic
459C4×Q8×C53C2311yescharacteristic
460C4×Q8×C53C2311yescharacteristic
461C4×Q8×C53C2311yescharacteristic
462C4×D4×C53—21no—
463C4×D4×C53C2311yescharacteristic
464C4×D4×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469C4⋊C8×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471#103×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481#97×C53C2311yescharacteristic
482#97×C53C2311yescharacteristic
483C4×C8×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53—21no—
486C23×D53—21no—
487C2×Q8×C53—21no—
488C2×Q8×C53—21no—
489C2×Q8×C53—21no—
490C2×Q8×C53C2×D411yescharacteristic
491C2×Q8×C53C2411yescharacteristic
492C2×Q8×C53C2411yescharacteristic
493C2×D4×C53—21no—
494C2×D4×C53—21no—
495C2×D4×C53C2411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C22×C4×C53—21no—
498C22×C4×C53—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⋊D53—21no—
506C2×C22⋊D53—21no—
507C22×Dic53—21no—
508#11719949—22no—
509#11719949—41no—
510#11719949—41no—
511#11719949—41no—
512Q8×D53—22no—
513Q8×D53—22no—
514Q8×D53—41no—
515Q8×D53—41no—
516Q8×D53—41no—
517Q8×D53—41no—
518#11719947—41no—
519#11719947—41no—
520D4×D53—41no—
521D4×D53—41no—
522D4×D53—41no—
523D4×D53—41no—
524D4×D53—41no—
525D4×D53—41no—
526D4×D53—82no—
527#11719945—82no—
528C2×D212—21no—
529C2×D212—21no—
530C2×D212—21no—
531C2×D212—21no—
532C2×D212—21no—
533C2×D212—21no—
534C2×D212—21no—
535C2×D212—21no—
536C2×D212—82no—
537C2×D212C2×D411yescharacteristic
538C2×D212C2×D411yescharacteristic
539C2×D212C2×D411yescharacteristic
540C2×D212C2411yescharacteristic
541C2×D212C2411yescharacteristic
542C2×D212C2411yescharacteristic
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×D53—21no—
550C2×C4×D53—21no—
551C2×C4×D53—21no—
552C2×C4×D53C2×D411yescharacteristic
553C2×C4×D53C2×D411yescharacteristic
554C2×C4×D53C2411yescharacteristic
555C2×C4×D53C2411yescharacteristic
556C2×C4×D53C2411yescharacteristic
557C2×Dic106—21no—
558C2×Dic106—21no—
559C2×Dic106—21no—
560C2×Dic106—21no—
561C2×Dic106C2411yescharacteristic
562C2×Dic106C2411yescharacteristic
563C2×Dic106C2411yescharacteristic
564Q16×C53—22no—
565SD16×C53—22no—
566SD16×C53—22no—
567C2×C8×C53C2411yescharacteristic
568C2×C8×C53C2411yescharacteristic
569C2×C8×C53C2411yescharacteristic
570C2×C8×C53C2411yescharacteristic
571C4⋊C4×C53—21no—
572C4⋊C4×C53—21no—
573C4⋊C4×C53—21no—
574C4⋊C4×C53—21no—
575C4⋊C4×C53—21no—
576C4⋊C4×C53—21no—
577C4⋊C4×C53—21no—
578C4⋊C4×C53C2×D411yescharacteristic
579C4⋊C4×C53C2×D411yescharacteristic
580C4⋊C4×C53C2×D411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C4⋊C4×C53C2411yescharacteristic
583C4⋊C4×C53C2411yescharacteristic
584C4⋊C4×C53C2411yescharacteristic
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53—21no—
589C22⋊C4×C53—21no—
590C22⋊C4×C53—21no—
591C42×C53—21no—
592C42×C53—21no—
593C42×C53—21no—
594C42×C53—21no—
595C42×C53C2411yescharacteristic
596C42×C53C2411yescharacteristic
597C42×C53C2411yescharacteristic
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602#11719925—22no—
603#11719925—41no—
604#11719925—41no—
605#11719924—22no—
606#11719924—22no—
607#11719924—41no—
608#11719923—41no—
609#11719923—41no—
610#11719923—41no—
611#11719923—41no—
612#11719922—41no—
613#11719922—41no—
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#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#11719921C2×D411yescharacteristic
642#11719921C2×D411yescharacteristic
643#11719921C2×D411yescharacteristic
644#11719921C2×D411yescharacteristic
645#11719921C2×D411yescharacteristic
646#11719921C2×D411yescharacteristic
647#11719921C2×D411yescharacteristic
648#11719921C2×D411yescharacteristic
649#11719921C2×D411yescharacteristic
650#11719921C2×D411yescharacteristic
651C4⋊Dic53—21no—
652C4⋊Dic53—21no—
653C4⋊Dic53—21no—
654C4⋊Dic53—21no—
655C4⋊Dic53—21no—
656C4⋊Dic53—21no—
657C4⋊Dic53—21no—
658C4⋊Dic53—21no—
659C4⋊Dic53C2×D411yescharacteristic
660C4⋊Dic53C2×D411yescharacteristic
661C4⋊Dic53C2×D411yescharacteristic
662C4⋊Dic53C2411yescharacteristic
663C4⋊Dic53C2411yescharacteristic
664#11719919—21no—
665#11719919—21no—
666#11719919—21no—
667#11719919—21no—
668#11719919—21no—
669#11719919—21no—
670#11719919—21no—
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×Dic53C2×D411yescharacteristic
685C4×Dic53C2×D411yescharacteristic
686C4×Dic53C2411yescharacteristic
687C2×#88322C2411yescharacteristic
688C2×#88322C2411yescharacteristic
689C2×#88322C2411yescharacteristic
690C2×#88322C2411yescharacteristic
691Dic212—41no—
692Dic212—41no—
693D424—41no—
694D424—41no—
695#11719913—41no—
696#11719913—41no—
697#11719913—41no—
698#11719913—41no—
699#11719913—41no—
700#11719912—41no—
701#11719912—41no—
702#11719912—41no—
703#11719912—41no—
704C8×D53—41no—
705C8×D53—41no—
706C23×C53—21no—
707C23×C53—21no—
708C22×D53—21no—
709C22×D53—21no—
710C22×D53—21no—
711C22×D53—42no—
712C22×D53—81no—
713C22×D53—81no—
714C22×D53—81no—
715C22×D53—81no—
716C22×D53—81no—
717C22×D53—81no—
718C22×D53—81no—
719C22×D53—81no—
720C22×D53C22×D411yescharacteristic
721C22×D53C22×D411yescharacteristic
722C22×D53C22×D411yescharacteristic
723Q8×C53—21no—
724Q8×C53—21no—
725Q8×C53—21no—
726Q8×C53—41no—
727Q8×C53—81no—
728Q8×C53—81no—
729Q8×C53—81no—
730Q8×C53H(5,𝔽2)12yes—
731D4×C53—21no—
732D4×C53—21no—
733D4×C53—21no—
734D4×C53—21no—
735D4×C53—81no—
736D4×C53—81no—
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×C53C22×D411yescharacteristic
751C2×C4×C53C2511yescharacteristic
752C22⋊D53—42no—
753C22⋊D53—81no—
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—81no—
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769C2×Dic53C22×D411yescharacteristic
770C2×Dic53C22×D411yescharacteristic
771D212—21no—
772D212—21no—
773D212—21no—
774D212—21no—
775D212—21no—
776D212—21no—
777D212—41no—
778D212—41no—
779D212—41no—
780D212—42no—
781D212—42no—
782D212—81no—
783D212—81no—
784D212—81no—
785D212—81no—
786D212—81no—
787D212—81no—
788C4×D53—21no—
789C4×D53—21no—
790C4×D53—21no—
791C4×D53—21no—
792C4×D53—21no—
793C4×D53—21no—
794C4×D53—41no—
795C4×D53—41no—
796C4×D53—42no—
797C4×D53—42no—
798C4×D53—42no—
799C4×D53—42no—
800C4×D53—81no—
801C4×D53—81no—
802C4×D53—81no—
803C4×D53—81no—
804C4×D53—81no—
805Dic106—21no—
806Dic106—21no—
807Dic106—21no—
808Dic106—21no—
809Dic106—21no—
810Dic106—21no—
811Dic106—42no—
812Dic106—42no—
813Dic106—81no—
814Dic106—81no—
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—41no—
825C22×C53—41no—
826C22×C53—41no—
827C22×C53—41no—
828C22×C53—41no—
829C22×C53—41no—
830C22×C53C23×D411yescharacteristic
831C2×D53—21no—
832C2×D53—21no—
833C2×D53—21no—
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—21no—
858C4×C53—22no—
859C4×C53—41no—
860C4×C53—41no—
861C4×C53—41no—
862C4×C53—41no—
863C4×C53—41no—
864C4×C53C2×H(5,𝔽2)11yescharacteristic
865C4×C53#58511yescharacteristic
866Dic53—21no—
867Dic53—21no—
868Dic53—21no—
869Dic53—21no—
870Dic53—21no—
871Dic53—41no—
872Dic53—41no—
873Dic53—41no—
874Dic53—41no—
875Dic53—41no—
876#3558—531no—
877#3518—531no—
878#3401—531no—
879#3401—531no—
880#3375—531no—
881#3375D5311yescharacteristic, complemented
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#3262—531no—
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—81no—
908C2×C53—81no—
909C2×C53#348811yescharacteristic
910C2×C53#358511yescharacteristic
911C2×C53#358611yescharacteristic
912D53—41no—
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#559C2×D5311yescharacteristic
928Q82C2×D5311yescharacteristic, complemented
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—531no—
951#542—531no—
952#542—1061no—
953#542—1061no—
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#489C2×D5311yescharacteristic, complemented
978#489C2×D5311yescharacteristic, complemented
979#486—531no—
980#486C2×D5311yescharacteristic
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#477—531no—
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#468—531no—
1004#468—531no—
1005#467—531no—
1006#467—531no—
1007#466—531no—
1008#466—531no—
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#463—531no—
1028#463—531no—
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#460C2×D5311yescharacteristic
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#446C2×D5311yescharacteristic, complemented
1059#442—531no—
1060#442—531no—
1061#441—531no—
1062#441—531no—
1063#440—531no—
1064#440—531no—
1065#440C2×D5311yescharacteristic, complemented
1066#440C2×D5311yescharacteristic, complemented
1067C4×Q16—531no—
1068C4×Q16C2×D5311yescharacteristic, complemented
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#424—531no—
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×D8—531no—
1132C2×M16—531no—
1133C2×M16—531no—
1134C2×M16—531no—
1135C2×M16—531no—
1136C22×C8—531no—
1137C22×C8—531no—
1138C4⋊Q8—21no—
1139C4⋊Q8—21no—
1140C4⋊Q8—21no—
1141C4⋊Q8—531no—
1142C4⋊Q8—531no—
1143C4⋊Q8—1061no—
1144C4⋊Q8C22×D5311yescharacteristic
1145C4⋊Q8C22×D5311yescharacteristic
1146C4⋊Q8C22×D5311yescharacteristic
1147#127—531no—
1148#127—531no—
1149#127C22×D5311yescharacteristic
1150#126—531no—
1151#126—531no—
1152#126—1061no—
1153#126—1061no—
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—531no—
1166#124—531no—
1167#124—531no—
1168#124—531no—
1169#124—531no—
1170#124—531no—
1171#124—531no—
1172#124—1061no—
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—531no—
1203C22⋊Q8—531no—
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⋊Q8—1061no—
1220C22⋊Q8—1061no—
1221#121—531no—
1222#121—531no—
1223#121—531no—
1224#121—531no—
1225#121—531no—
1226#121—531no—
1227#121—531no—
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#121—1061no—
1241#121—1061no—
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—21no—
1253C4×Q8—531no—
1254C4×Q8—531no—
1255C4×Q8—531no—
1256C4×Q8—531no—
1257C4×Q8—531no—
1258C4×Q8—531no—
1259C4×Q8—1061no—
1260C4×Q8—1061no—
1261C4×Q8—1061no—
1262C4×Q8—1061no—
1263C4×Q8—1061no—
1264C4×Q8—1061no—
1265C4×Q8—1061no—
1266C4×Q8C22×D5311yescharacteristic
1267C4×Q8C22×D5311yescharacteristic
1268C4×Q8C22×D5311yescharacteristic
1269C4×Q8C22×D5311yescharacteristic
1270C4×Q8C22×D5311yescharacteristic
1271C4×D4—21no—
1272C4×D4—531no—
1273C4×D4—531no—
1274C4×D4—531no—
1275C4×D4—531no—
1276C4×D4—531no—
1277C4×D4—531no—
1278C4×D4—531no—
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—531no—
1295#117—1061no—
1296#117—1061no—
1297#117—1061no—
1298#117—1061no—
1299#117—1061no—
1300#117—1061no—
1301#117—1061no—
1302#117—1061no—
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#107—531no—
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⋊C8—531no—
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#102C22×D5311yescharacteristic
1354#102C22×D5311yescharacteristic
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#97C22×D5311yescharacteristic
1368#97C22×D5311yescharacteristic
1369C4×C8—531no—
1370C4×C8C22×D5311yescharacteristic
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—21no—
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—1062no—
1393C2×Q8—2121no—
1394C2×Q8—2121no—
1395C2×Q8—2121no—
1396C2×Q8—2121no—
1397C2×Q8D4×D5311yescharacteristic
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—531no—
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—
1451Q16—22no—
1452Q16—1062no—
1453Q16—2121no—
1454Q16—2121no—
1455Q16—2121no—
1456Q16—2121no—
1457SD16—22no—
1458SD16—22no—
1459SD16—1062no—
1460SD16—1062no—
1461SD16—2121no—
1462SD16—2121no—
1463SD16—2121no—
1464SD16—2121no—
1465SD16—2121no—
1466SD16—2121no—
1467SD16—2121no—
1468SD16—2121no—
1469SD16—2121no—
1470SD16—2121no—
1471D8—2121no—
1472D8—2121no—
1473D8—2121no—
1474D8—2121no—
1475M16—2121no—
1476M16—2121no—
1477M16—2121no—
1478M16—2121no—
1479C2×C8—531no—
1480C2×C8—531no—
1481C2×C8—531no—
1482C2×C8—531no—
1483C2×C8—2121no—
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—21no—
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⋊C4D4×D5311yescharacteristic
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—531no—
1534C22⋊C4—531no—
1535C22⋊C4—531no—
1536C22⋊C4—531no—
1537C22⋊C4—531no—
1538C22⋊C4—531no—
1539C22⋊C4—531no—
1540C22⋊C4—531no—
1541C22⋊C4—531no—
1542C22⋊C4—531no—
1543C22⋊C4—1061no—
1544C22⋊C4—1061no—
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⋊C4—1061no—
1573C22⋊C4—1061no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—531no—
1579C42—531no—
1580C42—531no—
1581C42—1061no—
1582C42—1061no—
1583C42—1061no—
1584C42—1061no—
1585C42—1061no—
1586C42—1061no—
1587C42—1061no—
1588C42—1061no—
1589C42—1061no—
1590C42C23×D5311yescharacteristic
1591C42C23×D5311yescharacteristic
1592C42C23×D5311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—531no—
1596C23—531no—
1597C23—531no—
1598C23—1061no—
1599C23—1061no—
1600C23—1061no—
1601C23—4241no—
1602C23—4241no—
1603C23—4241no—
1604C23—4241no—
1605C23—4241no—
1606C23—4241no—
1607C23—4241no—
1608C23—4241no—
1609C23—2122no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—41no—
1614Q8—81no—
1615Q8—81no—
1616Q8—81no—
1617Q8—1061no—
1618Q8—1061no—
1619Q8—1061no—
1620Q8—1061no—
1621Q8—1061no—
1622Q8—1061no—
1623Q8—4241no—
1624Q8—4241no—
1625Q8—2122no—
1626Q8—2122no—
1627Q8#1313326312yes—
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—2121no—
1655D4—2121no—
1656D4—2122no—
1657D4—2122no—
1658D4—2122no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—531no—
1668C2×C4—531no—
1669C2×C4—531no—
1670C2×C4—531no—
1671C2×C4—531no—
1672C2×C4—1061no—
1673C2×C4—1061no—
1674C2×C4—1061no—
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—4241no—
1684C2×C4—4241no—
1685C2×C4—4241no—
1686C2×C4—4241no—
1687C2×C4—4241no—
1688C2×C4—4241no—
1689C2×C4—2121no—
1690C2×C4—2121no—
1691C2×C4—2122no—
1692C2×C4—2122no—
1693C2×C4—2122no—
1694C2×C4—2122no—
1695C2×C4C2×D4×D5311yescharacteristic
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—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—8482no—
1717C22—8482no—
1718C22—8482no—
1719C22—1061no—
1720C22—1061no—
1721C22—1061no—
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—22no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—1061no—
1751C4—1061no—
1752C4—1061no—
1753C4—1061no—
1754C4—1061no—
1755C4—2121no—
1756C4—2121no—
1757C4—2121no—
1758C4—2121no—
1759C4—2121no—
1760C4C2×#1313326311yescharacteristic
1761C4#1681146011yescharacteristic
1762C2—81no—
1763C2—81no—
1764C2—4241no—
1765C2—4241no—
1766C2—4241no—
1767C2—2121no—
1768C2—2121no—
1769C2—2121no—
1770C2#2028838111yescharacteristic
1771C2#2028949011yescharacteristic
1772C2#2028949811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3375C2
socleC22×C53C23×D4
hypercenter#3375D53
hypocenterC53#62092
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #20289235C2semidirect
2. #20288733C2semidirect
3. #20287783C2semidirect
4. #20287775C2semidirect
5. #20287529C2semidirect
6. #20286945C2semidirect
7. #20286943C2semidirect
8. #20286870C2semidirect
9. #20286868C2semidirect
10. #20286780C2semidirect
11. #20286778C2semidirect
12. #20286371C2semidirect
13. #20286367C2semidirect
14. #20286227C2semidirect
15. #20286220C2semidirect
16. #20286212C2semidirect
17. #20286205C2semidirect
18. #20286178C2semidirect
19. #20286175C2semidirect
20. #20286104C2semidirect
21. #20285812C2semidirect
22. #20285810C2semidirect
23. #20285719C2semidirect
24. #20284950C2semidirect
25. #20284942C2semidirect
26. #20284864C2semidirect
27. #20284234C2semidirect
28. #20284231C2semidirect
29. #20284206C2semidirect
30. #20283884C2semidirect
31. C53×#3375C2semidirect
32. C2×#13133249C22semidirect
33. C2×#13133249C22semidirect
34. C2×#13133246C22semidirect
36. C2×SD16×D53C22semidirect
37. C2×SD16×D53C22semidirect
43. #16811347C22semidirect
44. #16811347C22semidirect
46. #16811346C22semidirect
48. #16811339C22semidirect
49. Q8×D212C22semidirect
51. #16811285C22semidirect
52. #16811285C22semidirect
62. #16811247C22semidirect
63. #16811247C22semidirect
73. #16811178C22semidirect
78. #16811099C22semidirect
79. #16811099C22semidirect
80. C4×#11719949C22semidirect
81. #16811018C22semidirect
82. #16811017C22semidirect
85. #16811007C22semidirect
86. #16811005C22semidirect
87. #16810985C22semidirect
88. #16810985C22semidirect
90. #16810966C22semidirect
91. #16810962C22semidirect
93. #16810950C22semidirect
95. #16810946C22semidirect
96. #16810917C22semidirect
97. #16810917C22semidirect
98. #16810915C22semidirect
99. #16810906C22semidirect
100. #16810902C22semidirect
101. #16810900C22semidirect
102. #16810900C22semidirect
103. #16810872C22semidirect
105. #16810870C22semidirect
106. #16810870C22semidirect
107. #16810870C22semidirect
109. #16810868C22semidirect
110. #16810868C22semidirect
111. #16810865C22semidirect
112. #16810863C22semidirect
115. #16810848C22semidirect
116. #16810848C22semidirect
117. #16810847C22semidirect
118. #16810846C22semidirect
119. #16810846C22semidirect
120. #16810845C22semidirect
121. #16810845C22semidirect
122. #16810845C22semidirect
123. #16810844C22semidirect
124. #16810844C22semidirect
125. #16810843C22semidirect
126. #16810842C22semidirect
127. #16810841C22semidirect
128. #16810839C22semidirect
129. #16810839C22semidirect
130. #16810838C22semidirect
131. #16810837C22semidirect
132. #16810835C22semidirect
133. #16810829C22semidirect
134. #16810828C22semidirect
137. #16810822C22semidirect
138. #16810822C22semidirect
139. #16810821C22semidirect
141. #16810817C22semidirect
142. #16810788C22semidirect
143. #16810786C22semidirect
144. #16810780C22semidirect
145. #16810780C22semidirect
146. #16810780C22semidirect
147. #16810777C22semidirect
150. #16810775C22semidirect
151. #16810775C22semidirect
152. #16810771C22semidirect
153. #16810771C22semidirect
154. #16810769C22semidirect
155. #16810767C22semidirect
158. #16810758C22semidirect
159. #16810758C22semidirect
160. #16810754C22semidirect
161. #16810736C22semidirect
162. #16810733C22semidirect
163. #16810731C22semidirect
164. #16810728C22semidirect
165. #16810721C22semidirect
166. #16810721C22semidirect
167. C4×#11719925C22semidirect
168. C4×#11719913C22semidirect
169. C4×#11719923C22semidirect
170. #16810702C22semidirect
171. #16810700C22semidirect
172. #16810696C22semidirect
173. #16810696C22semidirect
174. #16810693C22semidirect
175. #16810693C22semidirect
176. #16810685C22semidirect
177. #16810682C22semidirect
178. #16810678C22semidirect
179. #16810648C22semidirect
180. #16810648C22semidirect
181. #16810645C22semidirect
182. #16810630C22semidirect
184. #16810626C22semidirect
185. #16810626C22semidirect
186. #16810618C22semidirect
187. #16810616C22semidirect
189. Q82×C53C22semidirect
190. C53×#489C22semidirect
191. C53×#489C22semidirect
193. C53×#477C22semidirect
194. C53×#474C22semidirect
195. C53×#474C22semidirect
196. C53×#464C22semidirect
197. C53×#464C22semidirect
199. C53×#446C22semidirect
200. C53×#440C22semidirect
201. C53×#440C22semidirect
202. C4×Q16×C53C22semidirect
881. #3375D53semidirect
928. Q82C2×D53semidirect
977. #489C2×D53semidirect
978. #489C2×D53semidirect
990. #477C2×D53semidirect
995. #474C2×D53semidirect
996. #474C2×D53semidirect
1021. #464C2×D53semidirect
1022. #464C2×D53semidirect
1058. #446C2×D53semidirect
1065. #440C2×D53semidirect
1066. #440C2×D53semidirect
1068. C4×Q16C2×D53semidirect
1089. C53#62092semidirect

Maximal subgroups

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

subgroupindex
#202892352
#202887332
#202877832
#202877752
#202875292
#202869452
#202869432
#202868702
#202868682
#202867802
#202867782
#202863712
#202863672
#202862272
#202862202
#202862122
#202862052
#202861782
#202861752
#202861042
#202858122
#202858102
#202857192
#202849502
#202849422
#202848642
#202842342
#202842312
#202842062
#202838842
C53×#33752
#6209253