Finite Group Databasebeta

← #28281309

Subgroups — #28281309

Order 13568.

1716 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289348C211yesmaximal, characteristic, complemented
2#20288643C211yesmaximal, characteristic, complemented
3#20287672C211yesmaximal, characteristic, complemented
4#20287594C211yesmaximal, characteristic, complemented
5#20287490C211yesmaximal, characteristic, complemented
6#20287378C211yesmaximal, characteristic, complemented
7#20287307C211yesmaximal, characteristic, complemented
8#20287276C211yesmaximal, characteristic, complemented
9#20287271C211yesmaximal, characteristic, complemented
10#20287241C211yesmaximal, characteristic, complemented
11#20287162C211yesmaximal, characteristic, complemented
12#20287117C211yesmaximal, characteristic, complemented
13#20286942C211yesmaximal, characteristic, complemented
14#20286928C211yesmaximal, characteristic, complemented
15#20286912C211yesmaximal, characteristic, complemented
16#20286868C211yesmaximal, characteristic, complemented
17#20286852C211yesmaximal, characteristic, complemented
18#20286546C211yesmaximal, characteristic, complemented
19#20286176C211yesmaximal, characteristic, complemented
20#20286133C211yesmaximal, characteristic, complemented
21#20286115C211yesmaximal, characteristic, complemented
22#20286013C211yesmaximal, characteristic, complemented
23#20285965C211yesmaximal, characteristic, complemented
24#20285892C211yesmaximal, characteristic, complemented
25#20284997C211yesmaximal, characteristic, complemented
26#20284899C211yesmaximal, characteristic, complemented
27#20284767C211yesmaximal, characteristic, complemented
28#20284567C211yesmaximal, characteristic, complemented
29#20284513C211yesmaximal, characteristic, complemented
30#20283862C211yesmaximal, characteristic, complemented
31C53×#3081C211yesmaximal, characteristic, complemented
32#16811372—21no—
33#16811369—21no—
34#16811356C2211yescharacteristic
35#16811348C2211yescharacteristic, complemented
36#16811347—21no—
37#16811341C2211yescharacteristic
38#16811339C2211yescharacteristic, complemented
39#16811330C2211yescharacteristic
40#16811329C2211yescharacteristic, complemented
41#16811321C2211yescharacteristic
42#16811319—21no—
43#16811317C2211yescharacteristic
44#16811317C2211yescharacteristic, complemented
45#16811312C2211yescharacteristic
46#16811311C2211yescharacteristic, complemented
47#16811308C2211yescharacteristic, complemented
48#16811307—21no—
49#16811302—21no—
50#16811299—21no—
51#16811278C2211yescharacteristic
52#16811268C2211yescharacteristic
53#16811267C2211yescharacteristic
54#16811263—21no—
55D4×C22⋊D53C2211yescharacteristic
56#16811253C2211yescharacteristic, complemented
57#16811247C2211yescharacteristic, complemented
58#16811246—21no—
59#16811244C2211yescharacteristic
60#16811244C2211yescharacteristic, complemented
61#16811243—21no—
62#16811232—21no—
63#16811224C2211yescharacteristic
64#16811221—21no—
65#16811215—21no—
66#16811211—21no—
67#16811178C2211yescharacteristic, complemented
68#16811158C2211yescharacteristic, complemented
69#16811155C2211yescharacteristic
70#16811151C2211yescharacteristic
71#16811132—21no—
72C2×#13133199—21no—
73#16811102C2211yescharacteristic
74C4×D4×D53C2211yescharacteristic
75#16811033C2211yescharacteristic, complemented
76#16811030C2211yescharacteristic, complemented
77#16811024C2211yescharacteristic, complemented
78#16811024C2211yescharacteristic, complemented
79#16811024C2211yescharacteristic, complemented
80#16811019C2211yescharacteristic, complemented
81#16810986C2211yescharacteristic
82#16810985C2211yescharacteristic, complemented
83#16810980C2211yescharacteristic, complemented
84#16810976C2211yescharacteristic, complemented
85#16810976C2211yescharacteristic, complemented
86#16810968C2211yescharacteristic
87#16810966C2211yescharacteristic, complemented
88#16810966C2211yescharacteristic, complemented
89#16810964C2211yescharacteristic, complemented
90#16810964C2211yescharacteristic, complemented
91#16810960C2211yescharacteristic, complemented
92#16810955C2211yescharacteristic, complemented
93#16810953C2211yescharacteristic, complemented
94#16810950C2211yescharacteristic, complemented
95#16810947C2211yescharacteristic
96#16810947C2211yescharacteristic, complemented
97#16810945C2211yescharacteristic
98#16810945C2211yescharacteristic
99#16810945C2211yescharacteristic, complemented
100#16810943C2211yescharacteristic, complemented
101#16810943C2211yescharacteristic, complemented
102#16810943C2211yescharacteristic, complemented
103#16810941C2211yescharacteristic
104#16810935C2211yescharacteristic, complemented
105#16810933C2211yescharacteristic, complemented
106#16810929C2211yescharacteristic, complemented
107#16810929C2211yescharacteristic, complemented
108#16810927C2211yescharacteristic, complemented
109#16810926C2211yescharacteristic, complemented
110#16810922C2211yescharacteristic, complemented
111#16810922C2211yescharacteristic, complemented
112#16810922C2211yescharacteristic, complemented
113#16810921C2211yescharacteristic
114#16810921C2211yescharacteristic
115#16810921C2211yescharacteristic
116#16810920C2211yescharacteristic, complemented
117#16810919C2211yescharacteristic, complemented
118#16810919C2211yescharacteristic, complemented
119#16810917C2211yescharacteristic, complemented
120#16810913C2211yescharacteristic, complemented
121#16810910C2211yescharacteristic, complemented
122#16810905C2211yescharacteristic, complemented
123#16810904C2211yescharacteristic, complemented
124#16810904C2211yescharacteristic, complemented
125#16810903C2211yescharacteristic
126#16810901C2211yescharacteristic
127#16810882C2211yescharacteristic, complemented
128#16810875C2211yescharacteristic
129#16810875C2211yescharacteristic, complemented
130#16810870C2211yescharacteristic, complemented
131#16810870C2211yescharacteristic, complemented
132#16810869C2211yescharacteristic
133#16810869C2211yescharacteristic, complemented
134#16810868C2211yescharacteristic
135#16810864C2211yescharacteristic, complemented
136#16810860C2211yescharacteristic, complemented
137#16810859C2211yescharacteristic
138#16810851C2211yescharacteristic, complemented
139#16810846C2211yescharacteristic, complemented
140#16810846C2211yescharacteristic, complemented
141#16810844C2211yescharacteristic, complemented
142#16810839C2211yescharacteristic, complemented
143#16810839C2211yescharacteristic, complemented
144#16810838C2211yescharacteristic
145#16810838C2211yescharacteristic, complemented
146#16810837C2211yescharacteristic, complemented
147#16810822C2211yescharacteristic
148#16810817C2211yescharacteristic
149#16810786C2211yescharacteristic
150#16810775C2211yescharacteristic
151#16810774C2211yescharacteristic
152#16810769C2211yescharacteristic
153#16810758C2211yescharacteristic
154#16810757C2211yescharacteristic
155#16810752C2211yescharacteristic, complemented
156#16810747C2211yescharacteristic, complemented
157#16810733C2211yescharacteristic
158#16810732C2211yescharacteristic
159#16810729C2211yescharacteristic, complemented
160#16810723C2211yescharacteristic, complemented
161#16810714C2211yescharacteristic
162#16810714C2211yescharacteristic
163#16810710C2211yescharacteristic, complemented
164#16810710C2211yescharacteristic, complemented
165C4×#11719923C2211yescharacteristic
166#16810705C2211yescharacteristic, complemented
167C4×#11719922C2211yescharacteristic, complemented
168#16810703C2211yescharacteristic
169#16810700C2211yescharacteristic, complemented
170#16810699C2211yescharacteristic
171#16810699C2211yescharacteristic, complemented
172#16810694C2211yescharacteristic
173#16810693C2211yescharacteristic, complemented
174C8×C22⋊D53C2211yescharacteristic, complemented
175#16810684C2211yescharacteristic, complemented
176#16810683C2211yescharacteristic, complemented
177#16810675C2211yescharacteristic, complemented
178#16810662C2211yescharacteristic, complemented
179#16810662C2211yescharacteristic, complemented
180#16810662C2211yescharacteristic, complemented
181#107×D53C2211yescharacteristic, complemented
182#16810648C2211yescharacteristic, complemented
183#16810645C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic
185#16810626C2211yescharacteristic
186#16810621C2211yescharacteristic
187#16810616C2211yescharacteristic
188C53×#544C2211yescharacteristic, complemented
189C53×#518C2211yescharacteristic
190C53×#478C2211yescharacteristic
191C53×#478C2211yescharacteristic
192C53×#478C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#476C2211yescharacteristic
195C53×#476C2211yescharacteristic, complemented
196C53×#474C2211yescharacteristic
197C53×#474C2211yescharacteristic, complemented
198C53×#428C2211yescharacteristic, complemented
199C53×#427C2211yescharacteristic, complemented
200C53×#424C2211yescharacteristic, complemented
201C53×#418C2211yescharacteristic
202C2×#102×C53C2211yescharacteristic
203C2×#11719945—21no—
204C2×#11719947C2311yescharacteristic
205C22×C22⋊D53—21no—
206C2×D4×D53C2311yescharacteristic
207C22×C4×D53—21no—
208C2×Dic212C2311yescharacteristic
209C2×#11719913C2311yescharacteristic
210C2×#11719913C2311yescharacteristic
211C2×#11719923C2311yescharacteristic
212C2×#11719923C2311yescharacteristic
213C2×D424C2311yescharacteristic
214C2×#11719922C2311yescharacteristic
215C2×#11719922C2311yescharacteristic
216C2×#11719912C2311yescharacteristic
217C2×#11719912C2311yescharacteristic
218C2×#11719912C2311yescharacteristic
219C2×C8×D53C2311yescharacteristic
220#13133217C2311yescharacteristic
221#13133217C2311yescharacteristic
222#13133216—21no—
223#13133216C2311yescharacteristic
224#13133215—21no—
225#13133213C2311yescharacteristic
226#13133212—21no—
227#13133212—21no—
228#13133212—21no—
229#13133212—21no—
230#13133212—21no—
231#13133212—21no—
232#13133212—21no—
233#13133212D411yescharacteristic
234#13133211—21no—
235#13133211—21no—
236#13133211—21no—
237#13133210—21no—
238#13133210—21no—
239#13133210—21no—
240#13133210D411yescharacteristic
241#13133209—21no—
242#13133208—21no—
243#13133208C2311yescharacteristic
244#13133208C2311yescharacteristic
245#13133208C2311yescharacteristic
246#13133208C2311yescharacteristic
247#13133208C2311yescharacteristic
248#13133207—21no—
249#13133207—21no—
250#13133207—21no—
251#13133207—21no—
252#13133207D411yescharacteristic
253#13133206—21no—
254#13133206—21no—
255#13133206—21no—
256#13133205C2311yescharacteristic
257#13133205C2311yescharacteristic
258#13133204C2311yescharacteristic
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203D411yescharacteristic
264#13133202—21no—
265#13133202—21no—
266#13133202—21no—
267#13133202—21no—
268#13133202D411yescharacteristic
269#13133201—21no—
270#13133200—21no—
271#13133200—21no—
272#13133200—21no—
273#13133199—21no—
274#13133199—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133199—21no—
280#13133199—21no—
281#13133199—21no—
282#13133199—21no—
283#13133199D411yescharacteristic
284#13133198—21no—
285#13133197—21no—
286#13133197—21no—
287#13133197—21no—
288#13133197C2311yescharacteristic
289#13133197C2311yescharacteristic
290#13133197C2311yescharacteristic
291#13133196—21no—
292#13133196—21no—
293#13133196C2311yescharacteristic
294#13133196C2311yescharacteristic
295#13133195—21no—
296#13133195—21no—
297#13133195—21no—
298#13133195—21no—
299#13133195—21no—
300#13133195D411yescharacteristic
301#13133194—21no—
302#13133194—21no—
303#13133193—21no—
304#13133193—21no—
305#13133192—21no—
306#13133192C2311yescharacteristic
307#13133192C2311yescharacteristic
308#13133192C2311yescharacteristic
309#13133191—21no—
310#13133191—21no—
311#13133191—21no—
312#13133191C2311yescharacteristic
313#13133191C2311yescharacteristic
314#13133190—21no—
315#13133190—21no—
316#13133190—21no—
317#13133190D411yescharacteristic
318#13133189—21no—
319#13133189—21no—
320#13133188C2311yescharacteristic
321#13133188C2311yescharacteristic
322#13133187—21no—
323#13133186—21no—
324#13133186—21no—
325#13133185—21no—
326Q8×Dic53—21no—
327Q8×Dic53—21no—
328C4×Dic106—21no—
329C4×Dic106C2311yescharacteristic
330C4×Dic106C2311yescharacteristic
331C4×Dic106C2311yescharacteristic
332#13133182—21no—
333#13133182C2311yescharacteristic
334#13133182C2311yescharacteristic
335#13133182C2311yescharacteristic
336C4×D212—21no—
337C4×D212—21no—
338C4×D212C2311yescharacteristic
339C4×D212C2311yescharacteristic
340C4×D212C2311yescharacteristic
341D4×Dic53C2311yescharacteristic
342D4×Dic53C2311yescharacteristic
343#13133179—21no—
344#13133179C2311yescharacteristic
345#13133179C2311yescharacteristic
346#13133179C2311yescharacteristic
347C4×C22⋊D53—21no—
348C4×C22⋊D53—21no—
349C4×C22⋊D53—21no—
350C4×C22⋊D53—21no—
351C4×C22⋊D53—21no—
352C4×C22⋊D53C2311yescharacteristic
353C4×C22⋊D53C2311yescharacteristic
354#13133177—21no—
355#13133177—21no—
356#13133176—21no—
357#13133176—21no—
358#13133175—21no—
359#13133175—21no—
360#13133175—21no—
361#13133175C2311yescharacteristic
362#13133175C2311yescharacteristic
363#13133175C2311yescharacteristic
364#13133174—21no—
365#13133174C2311yescharacteristic
366#13133173—21no—
367C2×C4⋊Dic53—21no—
368C2×#11719919—21no—
369C4⋊C4×D53—21no—
370C4⋊C4×D53C2311yescharacteristic
371C4⋊C4×D53C2311yescharacteristic
372C4⋊C4×D53C2311yescharacteristic
373C2×C22⋊Dic53—21no—
374C2×#11719921—21no—
375C22⋊C4×D53—21no—
376C42×D53C2311yescharacteristic
377#13133151C2311yescharacteristic
378#13133151C2311yescharacteristic
379#13133151C2311yescharacteristic
380#13133151C2311yescharacteristic
381#13133150C2311yescharacteristic
382#13133150C2311yescharacteristic
383#13133150C2311yescharacteristic
384#13133150C2311yescharacteristic
385#13133148C2311yescharacteristic
386#13133148C2311yescharacteristic
387#13133148C2311yescharacteristic
388#13133148C2311yescharacteristic
389#13133148C2311yescharacteristic
390#13133148C2311yescharacteristic
391#13133148C2311yescharacteristic
392#13133148C2311yescharacteristic
393C4⋊#88322C2311yescharacteristic
394C4⋊#88322C2311yescharacteristic
395#13133146C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133142C2311yescharacteristic
400#13133142C2311yescharacteristic
401#13133142C2311yescharacteristic
402#13133142C2311yescharacteristic
403#13133140C2311yescharacteristic
404#13133140C2311yescharacteristic
405#13133140C2311yescharacteristic
406#13133140C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133138C2311yescharacteristic
414#13133138C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133137C2311yescharacteristic
418#13133137C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423C22⋊#88322C2311yescharacteristic
424C22⋊#88322C2311yescharacteristic
425#13133129C2311yescharacteristic
426#13133129C2311yescharacteristic
427#13133129C2311yescharacteristic
428#13133129C2311yescharacteristic
429#13133128C2311yescharacteristic
430#13133127C2311yescharacteristic
431C4×#88322C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C22×D4×C53C2311yescharacteristic
436C2×M16×C53C2311yescharacteristic
437C22×C8×C53C2311yescharacteristic
438C4⋊Q8×C53—21no—
439C4⋊Q8×C53C2311yescharacteristic
440C4⋊Q8×C53C2311yescharacteristic
441#125×C53—21no—
442#125×C53C2311yescharacteristic
443#125×C53C2311yescharacteristic
444C22⋊Q8×C53—21no—
445C22⋊Q8×C53—21no—
446C4×D4×C53—21no—
447C4×D4×C53—21no—
448C4×D4×C53C2311yescharacteristic
449C4×D4×C53C2311yescharacteristic
450C4×D4×C53C2311yescharacteristic
451C4×D4×C53C2311yescharacteristic
452#117×C53C2311yescharacteristic
453#117×C53C2311yescharacteristic
454#117×C53C2311yescharacteristic
455C2×C4⋊C4×C53C2311yescharacteristic
456C2×C22⋊C4×C53—21no—
457C2×C22⋊C4×C53—21no—
458#107×C53C2311yescharacteristic
459#107×C53C2311yescharacteristic
460#107×C53C2311yescharacteristic
461#107×C53C2311yescharacteristic
462#106×C53C2311yescharacteristic
463#106×C53C2311yescharacteristic
464#106×C53C2311yescharacteristic
465#106×C53C2311yescharacteristic
466C4⋊C8×C53C2311yescharacteristic
467C4⋊C8×C53C2311yescharacteristic
468C4⋊C8×C53C2311yescharacteristic
469C4⋊C8×C53C2311yescharacteristic
470#102×C53C2311yescharacteristic
471#102×C53C2311yescharacteristic
472#102×C53C2311yescharacteristic
473#102×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C24×C53—21no—
479C23×D53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53—21no—
482C2×D4×C53—22no—
483C2×D4×C53—21no—
484C2×D4×C53—41no—
485C2×D4×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C22×C4×C53—21no—
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53C2411yescharacteristic
493C2×C22⋊D53—21no—
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53—21no—
500C2×C22⋊D53—21no—
501C2×C22⋊D53—82no—
502C2×C22⋊D53C2×D411yescharacteristic
503C2×C22⋊D53C2×D411yescharacteristic
504C22×Dic53—21no—
505C22×Dic53—21no—
506C22×Dic53—21no—
507#11719947—22no—
508#11719947—41no—
509D4×D53—22no—
510D4×D53—41no—
511#11719945—82no—
512C2×D212—21no—
513C2×D212—21no—
514C2×D212—21no—
515C2×D212C2×D411yescharacteristic
516C2×D212C2411yescharacteristic
517C2×D212C2411yescharacteristic
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—21no—
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—82no—
527C2×C4×D53C2×D411yescharacteristic
528C2×C4×D53C2×D411yescharacteristic
529C2×C4×D53C2411yescharacteristic
530C2×C4×D53C2411yescharacteristic
531C2×Dic106—21no—
532C2×Dic106—21no—
533C2×Dic106—21no—
534C2×Dic106C2×D411yescharacteristic
535C2×Dic106C2411yescharacteristic
536C2×Dic106C2411yescharacteristic
537M16×C53—41no—
538C2×C8×C53—41no—
539C2×C8×C53C2411yescharacteristic
540C2×C8×C53C2411yescharacteristic
541C2×C8×C53C2411yescharacteristic
542C2×C8×C53C2411yescharacteristic
543C4⋊C4×C53—21no—
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53—21no—
550C4⋊C4×C53C2×D411yescharacteristic
551C4⋊C4×C53C2×D411yescharacteristic
552C4⋊C4×C53C2411yescharacteristic
553C4⋊C4×C53C2411yescharacteristic
554C4⋊C4×C53C2411yescharacteristic
555C4⋊C4×C53C2411yescharacteristic
556C4⋊C4×C53C2411yescharacteristic
557C4⋊C4×C53C2411yescharacteristic
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53C2×D411yescharacteristic
565C22⋊C4×C53C2×D411yescharacteristic
566C42×C53—21no—
567C42×C53—21no—
568C42×C53C2411yescharacteristic
569C42×C53C2411yescharacteristic
570C22⋊Dic53—21no—
571C22⋊Dic53—21no—
572C22⋊Dic53—21no—
573C22⋊Dic53—21no—
574C22⋊Dic53—21no—
575C22⋊Dic53—21no—
576C22⋊Dic53—21no—
577C22⋊Dic53—21no—
578C22⋊Dic53C2×D411yescharacteristic
579C22⋊Dic53C2×D411yescharacteristic
580#11719923—22no—
581#11719923—41no—
582#11719922—22no—
583#11719922—41no—
584#11719921—21no—
585#11719921—21no—
586#11719921—21no—
587#11719921—21no—
588#11719921—21no—
589#11719921—21no—
590#11719921—21no—
591#11719921—21no—
592#11719921—21no—
593#11719921—21no—
594#11719921—21no—
595#11719921—21no—
596#11719921—21no—
597#11719921—21no—
598#11719921—21no—
599#11719921—21no—
600#11719921—21no—
601#11719921—21no—
602#11719921—21no—
603#11719921—21no—
604#11719921C2×D411yescharacteristic
605#11719921C2×D411yescharacteristic
606#11719921C2×D411yescharacteristic
607#11719921C2×D411yescharacteristic
608#11719921C2×D411yescharacteristic
609#11719921C2×D411yescharacteristic
610C4⋊Dic53—21no—
611C4⋊Dic53—21no—
612C4⋊Dic53—21no—
613C4⋊Dic53—21no—
614C4⋊Dic53—21no—
615C4⋊Dic53—21no—
616C4⋊Dic53—21no—
617C4⋊Dic53—21no—
618C4⋊Dic53—21no—
619C4⋊Dic53—21no—
620C4⋊Dic53C2×D411yescharacteristic
621C4⋊Dic53C2×D411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626#11719919—21no—
627#11719919—21no—
628#11719919—21no—
629#11719919—21no—
630#11719919—21no—
631#11719919—21no—
632#11719919—21no—
633#11719919—21no—
634#11719919—21no—
635#11719919—21no—
636#11719919—21no—
637#11719919—21no—
638#11719919—21no—
639#11719919—21no—
640#11719919—21no—
641#11719919—21no—
642#11719919C2×D411yescharacteristic
643#11719919C2×D411yescharacteristic
644#11719919C2×D411yescharacteristic
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647#11719919C2×D411yescharacteristic
648C4×Dic53—21no—
649C4×Dic53—21no—
650C4×Dic53—21no—
651C4×Dic53—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C4×Dic53—21no—
655C4×Dic53—21no—
656C4×Dic53C2×D411yescharacteristic
657C4×Dic53C2×D411yescharacteristic
658C4×Dic53C2411yescharacteristic
659C4×Dic53C2411yescharacteristic
660C2×#88322C2411yescharacteristic
661C2×#88322C2411yescharacteristic
662C2×#88322C2411yescharacteristic
663C2×#88322C2411yescharacteristic
664Dic212—41no—
665D424—41no—
666#11719913—41no—
667#11719913—41no—
668#11719912—41no—
669#11719912—41no—
670#11719912—41no—
671C8×D53—41no—
672C23×C53—21no—
673C23×C53—21no—
674C23×C53—42no—
675C23×C53—81no—
676C23×C53—81no—
677C23×C53C22×D411yescharacteristic
678C22×D53—21no—
679C22×D53—21no—
680C22×D53—42no—
681C22×D53—42no—
682C22×D53—81no—
683C22×D53C22×D411yescharacteristic
684C22×D53C22×D411yescharacteristic
685Q8×C53—81no—
686Q8×C53—81no—
687D4×C53—21no—
688D4×C53—21no—
689D4×C53—21no—
690D4×C53—42no—
691D4×C532−1+412yes—
692C2×C4×C53—21no—
693C2×C4×C53—21no—
694C2×C4×C53—21no—
695C2×C4×C53—21no—
696C2×C4×C53—21no—
697C2×C4×C53—21no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—81no—
701C2×C4×C53—81no—
702C2×C4×C53—81no—
703C2×C4×C53—81no—
704C2×C4×C53—81no—
705C2×C4×C53C22×D411yescharacteristic
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C2511yescharacteristic
711C22⋊D53—41no—
712C22⋊D53—41no—
713C22⋊D53—42no—
714C22⋊D53—42no—
715C22⋊D53—42no—
716C22⋊D53—81no—
717C22⋊D53—81no—
718C22⋊D53—81no—
719C22⋊D53—81no—
720C22⋊D53—81no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—21no—
725C2×Dic53—21no—
726C2×Dic53—21no—
727C2×Dic53—42no—
728C2×Dic53—81no—
729C2×Dic53—81no—
730C2×Dic53C22×D411yescharacteristic
731C2×Dic53C22×D411yescharacteristic
732C2×Dic53C22×D411yescharacteristic
733C2×Dic53C22×D411yescharacteristic
734C2×Dic53C22×D411yescharacteristic
735C2×Dic53C22×D411yescharacteristic
736D212—21no—
737D212—21no—
738D212—21no—
739D212—21no—
740D212—41no—
741D212—81no—
742D212—81no—
743D212—81no—
744C4×D53—21no—
745C4×D53—21no—
746C4×D53—21no—
747C4×D53—21no—
748C4×D53—41no—
749C4×D53—41no—
750C4×D53—42no—
751C4×D53—81no—
752C4×D53—81no—
753C4×D53—81no—
754C4×D53—81no—
755C4×D53—81no—
756C4×D53—81no—
757C4×D53—81no—
758Dic106—21no—
759Dic106—21no—
760Dic106—21no—
761Dic106—21no—
762Dic106—41no—
763Dic106—81no—
764Dic106—81no—
765Dic106—81no—
766C8×C53—21no—
767C8×C53—21no—
768C8×C53—21no—
769C8×C53—21no—
770#88322—21no—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#62175—531nomaximal, Sylow
775C22×C53—21no—
776C22×C53—21no—
777C22×C53—22no—
778C22×C53—21no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—162no—
785C22×C53C23×D411yescharacteristic
786C2×D53—21no—
787C2×D53—21no—
788C2×D53—21no—
789C2×D53—21no—
790C2×D53—21no—
791C2×D53—21no—
792C2×D53—41no—
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C2×D53—41no—
797C2×D53—41no—
798C2×D53—84no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—21no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53—41no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53C2×2−1+411yescharacteristic
811C4×C53#58511yescharacteristic
812Dic53—21no—
813Dic53—21no—
814Dic53—21no—
815Dic53—21no—
816Dic53—21no—
817Dic53—21no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823Dic53—41no—
824#3565—531no—
825#3513—531no—
826#3389—531no—
827#3381—531no—
828#3371—531no—
829#3361—531no—
830#3354—531no—
831#3351—531no—
832#3351—531no—
833#3349—531no—
834#3343—531no—
835#3339—531no—
836#3324—531no—
837#3323—531no—
838#3322—531no—
839#3319—531no—
840#3318—531no—
841#3296—531no—
842#3262—531no—
843#3257—531no—
844#3256—531no—
845#3244—531no—
846#3241—531no—
847#3233—531no—
848#3125—531no—
849#3118—531no—
850#3105—531no—
851#3083—531no—
852#3081D5311yescharacteristic, complemented
853#3077—531no—
854#2993—531no—
855C2×C53—42no—
856C2×C53—41no—
857C2×C53—81no—
858C2×C53#348911yescharacteristic
859C2×C53#358411yescharacteristic
860C2×C53#358511yescharacteristic
861D53—41no—
862D53—41no—
863D53—81no—
864D53—81no—
865#563—1061no—
866#562—1061no—
867#559—531no—
868#557—531no—
869#556—531no—
870#556—1061no—
871#555—531no—
872#554—531no—
873#554—531no—
874#553—531no—
875#553—531no—
876#553—531no—
877#553—1061no—
878#552—531no—
879#552—531no—
880#552—531no—
881#552—1061no—
882#551—1061no—
883#551—1061no—
884#547—531no—
885#546—531no—
886#546—531no—
887#546—1061no—
888D42—531no—
889#544—531no—
890#544C2×D5311yescharacteristic, complemented
891#542—531no—
892#542—531no—
893#542—531no—
894#542—1061no—
895#542—1061no—
896#541—1061no—
897#540—531no—
898#539—1061no—
899#539—1061no—
900#538—1061no—
901#533—531no—
902#529—531no—
903#529—531no—
904#529—531no—
905#525—1061no—
906C2×#123—1061no—
907#520—531no—
908#518C2×D5311yescharacteristic
909C2×C4×D4—531no—
910#501—531no—
911#501—531no—
912#499—531no—
913#499—531no—
914#499—531no—
915#498—531no—
916#490—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#486—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484—531no—
927#483—531no—
928#483—531no—
929#482—531no—
930#482—531no—
931#482—531no—
932#482—531no—
933#482—531no—
934#482—531no—
935#481—531no—
936#481—531no—
937#481—531no—
938#481—531no—
939#480—531no—
940#479—531no—
941#479—531no—
942#479—531no—
943#479—531no—
944#478—531no—
945#478—531no—
946#478—531no—
947#478—531no—
948#478—531no—
949#478—531no—
950#478—531no—
951#478—531no—
952#478C2×D5311yescharacteristic
953#478C2×D5311yescharacteristic
954#478C2×D5311yescharacteristic, complemented
955#478C2×D5311yescharacteristic, complemented
956#477—531no—
957#477—531no—
958#477—531no—
959#476—531no—
960#476—531no—
961#476C2×D5311yescharacteristic
962#476C2×D5311yescharacteristic, complemented
963#475—531no—
964#474—531no—
965#474—531no—
966#474—531no—
967#474—531no—
968#474C2×D5311yescharacteristic
969#474C2×D5311yescharacteristic, complemented
970#470—531no—
971#469—531no—
972#469—531no—
973#468—531no—
974#468—531no—
975#468—531no—
976#468—531no—
977#468—531no—
978#467—531no—
979#466—531no—
980#466—531no—
981#465—531no—
982#464—531no—
983#464—531no—
984#464—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#463—531no—
989#463—531no—
990#460—531no—
991#459—531no—
992#452—531no—
993#450—531no—
994#450—531no—
995#449—531no—
996#447—531no—
997#447—531no—
998#446—531no—
999C8×Q8—531no—
1000#442—531no—
1001#442—531no—
1002#441—531no—
1003#440—531no—
1004C4×SD16—531no—
1005C4×SD16—531no—
1006C4×SD16—531no—
1007C4×SD16—531no—
1008C4×SD16—531no—
1009C4×D8—531no—
1010C4×D8—531no—
1011C4×D8—531no—
1012#436—531no—
1013#436—531no—
1014#436—531no—
1015#435—531no—
1016#435—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#431—531no—
1021#428—531no—
1022#428—531no—
1023#428—531no—
1024#428C2×D5311yescharacteristic, complemented
1025#427C2×D5311yescharacteristic, complemented
1026C2×#107—531no—
1027#424—531no—
1028#424C2×D5311yescharacteristic, complemented
1029#423—531no—
1030#418—531no—
1031#418—531no—
1032#418C2×D5311yescharacteristic
1033#417—531no—
1034#416—531no—
1035C2×#102C2×D5311yescharacteristic
1036C53#6217511yescharacteristic, complemented, Sylow
1037C2×#41—531no—
1038C2×#41—1061no—
1039C22×D4—531no—
1040C22×D4—1061no—
1041C22×D4C22×D5311yescharacteristic
1042C23×C4—1061no—
1043C2×Q16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×D8—531no—
1049C2×D8—531no—
1050C2×D8—531no—
1051C2×M16—531no—
1052C2×M16—531no—
1053C2×M16—531no—
1054C2×M16C22×D5311yescharacteristic
1055C22×C8—531no—
1056C22×C8C22×D5311yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—531no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8C22×D5311yescharacteristic
1064C4⋊Q8C22×D5311yescharacteristic
1065#127—531no—
1066#126—531no—
1067#126—531no—
1068#126—1061no—
1069#126—1061no—
1070#126—1061no—
1071#126—1061no—
1072#126—1061no—
1073#126—1061no—
1074#126—1061no—
1075#126—1061no—
1076#126—1061no—
1077#126—1061no—
1078#126—1061no—
1079#126—1061no—
1080#126—1061no—
1081#125—21no—
1082#125—531no—
1083#125—531no—
1084#125—531no—
1085#125—531no—
1086#125—531no—
1087#125—531no—
1088#125—1061no—
1089#125—1061no—
1090#125—1061no—
1091#125—1061no—
1092#125—1061no—
1093#125—1061no—
1094#125C22×D5311yescharacteristic
1095#125C22×D5311yescharacteristic
1096#124—531no—
1097#124—531no—
1098#124—531no—
1099#124—531no—
1100#124—1061no—
1101#124—1061no—
1102#124—1061no—
1103#124—1061no—
1104#124—1061no—
1105#124—1061no—
1106#124—1061no—
1107#123—531no—
1108#123—531no—
1109#123—1061no—
1110#123—1061no—
1111#123—1061no—
1112#123—1061no—
1113#123—1061no—
1114#123—1061no—
1115#123—1061no—
1116#123—1061no—
1117#123—1061no—
1118#123—1061no—
1119#123—1061no—
1120#123—1061no—
1121#123—1061no—
1122#123—1061no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123—1061no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—531no—
1134C22⋊Q8—531no—
1135C22⋊Q8—531no—
1136C22⋊Q8—1061no—
1137C22⋊Q8—1061no—
1138C22⋊Q8—1061no—
1139C22⋊Q8—1061no—
1140C22⋊Q8—1061no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150#121—531no—
1151#121—531no—
1152#121—531no—
1153#121—531no—
1154#121—531no—
1155#121—531no—
1156#121—531no—
1157#121—531no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121—1061no—
1165#121—1061no—
1166#121—1061no—
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170#120—1061no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8—1061no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—531no—
1184C4×D4—531no—
1185C4×D4—531no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—1061no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4C22×D5311yescharacteristic
1204C4×D4C22×D5311yescharacteristic
1205C4×D4C22×D5311yescharacteristic
1206C4×D4C22×D5311yescharacteristic
1207#117—531no—
1208#117—531no—
1209#117—531no—
1210#117—531no—
1211#117—1061no—
1212#117—1061no—
1213#117—1061no—
1214#117—1061no—
1215#117—1061no—
1216#117—1061no—
1217#117—1061no—
1218#117C22×D5311yescharacteristic
1219#117C22×D5311yescharacteristic
1220#117C22×D5311yescharacteristic
1221C2×C4⋊C4—531no—
1222C2×C4⋊C4—531no—
1223C2×C4⋊C4—531no—
1224C2×C4⋊C4—1061no—
1225C2×C4⋊C4—1061no—
1226C2×C4⋊C4—1061no—
1227C2×C4⋊C4C22×D5311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—1061no—
1231C2×C22⋊C4—1061no—
1232C2×C22⋊C4—1061no—
1233C2×C42—531no—
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#107—531no—
1239#107—531no—
1240#107—531no—
1241#107—531no—
1242#107C22×D5311yescharacteristic
1243#107C22×D5311yescharacteristic
1244#107C22×D5311yescharacteristic
1245#107C22×D5311yescharacteristic
1246#106—531no—
1247#106—531no—
1248#106—531no—
1249#106—531no—
1250#106—531no—
1251#106—531no—
1252#106—531no—
1253#106—531no—
1254#106C22×D5311yescharacteristic
1255#106C22×D5311yescharacteristic
1256#106C22×D5311yescharacteristic
1257#106C22×D5311yescharacteristic
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—531no—
1264C4⋊C8C22×D5311yescharacteristic
1265C4⋊C8C22×D5311yescharacteristic
1266C4⋊C8C22×D5311yescharacteristic
1267C4⋊C8C22×D5311yescharacteristic
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#103—531no—
1273#103—531no—
1274#103—531no—
1275#103—531no—
1276#103—531no—
1277#103—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286#102—531no—
1287#102—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102C22×D5311yescharacteristic
1293#102C22×D5311yescharacteristic
1294#102C22×D5311yescharacteristic
1295#102C22×D5311yescharacteristic
1296#102C22×D5311yescharacteristic
1297#102C22×D5311yescharacteristic
1298#102C22×D5311yescharacteristic
1299#102C22×D5311yescharacteristic
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302C22⋊C8—531no—
1303C22⋊C8—531no—
1304C22⋊C8—531no—
1305C22⋊C8—531no—
1306#97—531no—
1307#97—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8—531no—
1312C24—21no—
1313C24—1061no—
1314#41—1062no—
1315#41—4242no—
1316#41—2121no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—531no—
1320C2×Q8—531no—
1321C2×Q8—531no—
1322C2×Q8—1061no—
1323C2×Q8—1061no—
1324C2×Q8—1061no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—41no—
1328C2×D4—531no—
1329C2×D4—531no—
1330C2×D4—531no—
1331C2×D4—531no—
1332C2×D4—531no—
1333C2×D4—1061no—
1334C2×D4—1061no—
1335C2×D4—1061no—
1336C2×D4—1061no—
1337C2×D4—1061no—
1338C2×D4—1061no—
1339C2×D4—1062no—
1340C2×D4—1061no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4—1061no—
1345C2×D4—4242no—
1346C2×D4—2121no—
1347C2×D4C23×D5311yescharacteristic
1348C2×D4C23×D5311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—531no—
1355C22×C4—531no—
1356C22×C4—531no—
1357C22×C4—531no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4—1061no—
1363C22×C4—1061no—
1364C22×C4—1061no—
1365C22×C4—1061no—
1366C22×C4—1061no—
1367C22×C4—1061no—
1368C22×C4—1061no—
1369C22×C4—4242no—
1370C22×C4C23×D5311yescharacteristic
1371Q16—2121no—
1372SD16—1062no—
1373SD16—2121no—
1374SD16—2121no—
1375SD16—2121no—
1376D8—1062no—
1377D8—2121no—
1378D8—2121no—
1379M16—41no—
1380M16—2121no—
1381M16—2121no—
1382M16—2121no—
1383C2×C8—41no—
1384C2×C8—531no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—2121no—
1389C2×C8C23×D5311yescharacteristic
1390C2×C8C23×D5311yescharacteristic
1391C2×C8C23×D5311yescharacteristic
1392C2×C8C23×D5311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—531no—
1401C4⋊C4—531no—
1402C4⋊C4—531no—
1403C4⋊C4—531no—
1404C4⋊C4—531no—
1405C4⋊C4—531no—
1406C4⋊C4—531no—
1407C4⋊C4—531no—
1408C4⋊C4—531no—
1409C4⋊C4—531no—
1410C4⋊C4—531no—
1411C4⋊C4—531no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4—1061no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4D4×D5311yescharacteristic
1439C4⋊C4D4×D5311yescharacteristic
1440C4⋊C4C23×D5311yescharacteristic
1441C4⋊C4C23×D5311yescharacteristic
1442C4⋊C4C23×D5311yescharacteristic
1443C4⋊C4C23×D5311yescharacteristic
1444C4⋊C4C23×D5311yescharacteristic
1445C4⋊C4C23×D5311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—531no—
1453C22⋊C4—531no—
1454C22⋊C4—531no—
1455C22⋊C4—531no—
1456C22⋊C4—531no—
1457C22⋊C4—531no—
1458C22⋊C4—531no—
1459C22⋊C4—531no—
1460C22⋊C4—1061no—
1461C22⋊C4—1061no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4—1061no—
1484C22⋊C4—1061no—
1485C22⋊C4—1061no—
1486C22⋊C4—1061no—
1487C22⋊C4—1061no—
1488C22⋊C4D4×D5311yescharacteristic
1489C22⋊C4D4×D5311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—531no—
1493C42—531no—
1494C42—531no—
1495C42—531no—
1496C42—1061no—
1497C42—1061no—
1498C42—1061no—
1499C42—1061no—
1500C42—1061no—
1501C42—1061no—
1502C42—1061no—
1503C42—1061no—
1504C42C23×D5311yescharacteristic
1505C42C23×D5311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—81no—
1510C23—81no—
1511C23—531no—
1512C23—531no—
1513C23—1061no—
1514C23—1061no—
1515C23—4241no—
1516C23—2122no—
1517C23—2122no—
1518C23C2×D4×D5311yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—1061no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—1061no—
1525Q8—4241no—
1526Q8—4241no—
1527Q8—4241no—
1528Q8—2121no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—1061no—
1534D4—1061no—
1535D4—1061no—
1536D4—1061no—
1537D4—4241no—
1538D4—4241no—
1539D4—4241no—
1540D4—4241no—
1541D4—4241no—
1542D4—4241no—
1543D4—4241no—
1544D4—4241no—
1545D4—2121no—
1546D4—2121no—
1547D4—2121no—
1548D4—2122no—
1549D4—2122no—
1550D4—2122no—
1551D4#1313326512yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—531no—
1566C2×C4—531no—
1567C2×C4—531no—
1568C2×C4—531no—
1569C2×C4—531no—
1570C2×C4—531no—
1571C2×C4—1061no—
1572C2×C4—1061no—
1573C2×C4—1061no—
1574C2×C4—1061no—
1575C2×C4—1061no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—4241no—
1582C2×C4—4241no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—4241no—
1588C2×C4—4241no—
1589C2×C4—4241no—
1590C2×C4—2121no—
1591C2×C4—2121no—
1592C2×C4—2122no—
1593C2×C4—2122no—
1594C2×C4C2×D4×D5311yescharacteristic
1595C2×C4C2×D4×D5311yescharacteristic
1596C2×C4C2×D4×D5311yescharacteristic
1597C2×C4C2×D4×D5311yescharacteristic
1598C2×C4C2×D4×D5311yescharacteristic
1599C2×C4C24×D5311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—162no—
1618C22—1061no—
1619C22—1061no—
1620C22—1061no—
1621C22—1061no—
1622C22—1061no—
1623C22—1061no—
1624C22—4244no—
1625C22—2121no—
1626C22—2121no—
1627C22—2121no—
1628C22—2121no—
1629C22—2121no—
1630C22—2121no—
1631C22C22×D4×D5311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1061no—
1644C4—1061no—
1645C4—1061no—
1646C4—1061no—
1647C4—1061no—
1648C4—1061no—
1649C4—2121no—
1650C4—2121no—
1651C4—2121no—
1652C4—2121no—
1653C4—2121no—
1654C4—2121no—
1655C4C2×#1313326511yescharacteristic
1656C4#1681145911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—4241no—
1661C2—4241no—
1662C2—2121no—
1663C2—2121no—
1664C2#2028839111yescharacteristic
1665C2#2028948311yescharacteristic
1666C2#2028949311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3081C2
socleC22×C53C23×D4
hypercenter#3081D53
hypocenterC53#62175
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3081

Complements

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

NH ≅ G/Ntype
1. #20289348C2semidirect
2. #20288643C2semidirect
3. #20287672C2semidirect
4. #20287594C2semidirect
5. #20287490C2semidirect
6. #20287378C2semidirect
7. #20287307C2semidirect
8. #20287276C2semidirect
9. #20287271C2semidirect
10. #20287241C2semidirect
11. #20287162C2semidirect
12. #20287117C2semidirect
13. #20286942C2semidirect
14. #20286928C2semidirect
15. #20286912C2semidirect
16. #20286868C2semidirect
17. #20286852C2semidirect
18. #20286546C2semidirect
19. #20286176C2semidirect
20. #20286133C2semidirect
21. #20286115C2semidirect
22. #20286013C2semidirect
23. #20285965C2semidirect
24. #20285892C2semidirect
25. #20284997C2semidirect
26. #20284899C2semidirect
27. #20284767C2semidirect
28. #20284567C2semidirect
29. #20284513C2semidirect
30. #20283862C2semidirect
31. C53×#3081C2semidirect
35. #16811348C22semidirect
38. #16811339C22semidirect
40. #16811329C22semidirect
44. #16811317C22semidirect
46. #16811311C22semidirect
47. #16811308C22semidirect
56. #16811253C22semidirect
57. #16811247C22semidirect
60. #16811244C22semidirect
67. #16811178C22semidirect
68. #16811158C22semidirect
75. #16811033C22semidirect
76. #16811030C22semidirect
77. #16811024C22semidirect
78. #16811024C22semidirect
79. #16811024C22semidirect
80. #16811019C22semidirect
82. #16810985C22semidirect
83. #16810980C22semidirect
84. #16810976C22semidirect
85. #16810976C22semidirect
87. #16810966C22semidirect
88. #16810966C22semidirect
89. #16810964C22semidirect
90. #16810964C22semidirect
91. #16810960C22semidirect
92. #16810955C22semidirect
93. #16810953C22semidirect
94. #16810950C22semidirect
96. #16810947C22semidirect
99. #16810945C22semidirect
100. #16810943C22semidirect
101. #16810943C22semidirect
102. #16810943C22semidirect
104. #16810935C22semidirect
105. #16810933C22semidirect
106. #16810929C22semidirect
107. #16810929C22semidirect
108. #16810927C22semidirect
109. #16810926C22semidirect
110. #16810922C22semidirect
111. #16810922C22semidirect
112. #16810922C22semidirect
116. #16810920C22semidirect
117. #16810919C22semidirect
118. #16810919C22semidirect
119. #16810917C22semidirect
120. #16810913C22semidirect
121. #16810910C22semidirect
122. #16810905C22semidirect
123. #16810904C22semidirect
124. #16810904C22semidirect
127. #16810882C22semidirect
129. #16810875C22semidirect
130. #16810870C22semidirect
131. #16810870C22semidirect
133. #16810869C22semidirect
135. #16810864C22semidirect
136. #16810860C22semidirect
138. #16810851C22semidirect
139. #16810846C22semidirect
140. #16810846C22semidirect
141. #16810844C22semidirect
142. #16810839C22semidirect
143. #16810839C22semidirect
145. #16810838C22semidirect
146. #16810837C22semidirect
155. #16810752C22semidirect
156. #16810747C22semidirect
159. #16810729C22semidirect
160. #16810723C22semidirect
163. #16810710C22semidirect
164. #16810710C22semidirect
166. #16810705C22semidirect
167. C4×#11719922C22semidirect
169. #16810700C22semidirect
171. #16810699C22semidirect
173. #16810693C22semidirect
174. C8×C22⋊D53C22semidirect
175. #16810684C22semidirect
176. #16810683C22semidirect
177. #16810675C22semidirect
178. #16810662C22semidirect
179. #16810662C22semidirect
180. #16810662C22semidirect
181. #107×D53C22semidirect
182. #16810648C22semidirect
183. #16810645C22semidirect
188. C53×#544C22semidirect
192. C53×#478C22semidirect
193. C53×#478C22semidirect
195. C53×#476C22semidirect
197. C53×#474C22semidirect
198. C53×#428C22semidirect
199. C53×#427C22semidirect
200. C53×#424C22semidirect
852. #3081D53semidirect
890. #544C2×D53semidirect
954. #478C2×D53semidirect
955. #478C2×D53semidirect
962. #476C2×D53semidirect
969. #474C2×D53semidirect
1024. #428C2×D53semidirect
1025. #427C2×D53semidirect
1028. #424C2×D53semidirect
1036. C53#62175semidirect

Maximal subgroups

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

subgroupindex
#202893482
#202886432
#202876722
#202875942
#202874902
#202873782
#202873072
#202872762
#202872712
#202872412
#202871622
#202871172
#202869422
#202869282
#202869122
#202868682
#202868522
#202865462
#202861762
#202861332
#202861152
#202860132
#202859652
#202858922
#202849972
#202848992
#202847672
#202845672
#202845132
#202838622
C53×#30812
#6217553