Finite Group Databasebeta

← #28263589

Subgroups — #28263589

Order 13568.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288578C211yesmaximal, characteristic, complemented
2#20288561C211yesmaximal, characteristic
3#20287265C211yesmaximal, characteristic, complemented
4#20287262C211yesmaximal, characteristic, complemented
5#20287257C211yesmaximal, characteristic, complemented
6#20287254C211yesmaximal, characteristic, complemented
7#20287236C211yesmaximal, characteristic, complemented
8#20287234C211yesmaximal, characteristic, complemented
9#20287233C211yesmaximal, characteristic, complemented
10#20287231C211yesmaximal, characteristic, complemented
11#20287199C211yesmaximal, characteristic, complemented
12#20287197C211yesmaximal, characteristic, complemented
13#20287194C211yesmaximal, characteristic, complemented
14#20287159C211yesmaximal, characteristic, complemented
15#20287158C211yesmaximal, characteristic, complemented
16#20287151C211yesmaximal, characteristic, complemented
17#20287150C211yesmaximal, characteristic, complemented
18#20285236C211yesmaximal, characteristic, complemented
19#20284683C211yesmaximal, characteristic, complemented
20#20284681C211yesmaximal, characteristic, complemented
21#20284672C211yesmaximal, characteristic, complemented
22#20284666C211yesmaximal, characteristic, complemented
23#20284518C211yesmaximal, characteristic, complemented
24#20284507C211yesmaximal, characteristic, complemented
25#20284352C211yesmaximal, characteristic, complemented
26#20284349C211yesmaximal, characteristic, complemented
27#440×D53C211yesmaximal, characteristic, complemented
28#20283429C211yesmaximal, characteristic, complemented
29#20283314C211yesmaximal, characteristic, complemented
30#20283311C211yesmaximal, characteristic, complemented
31C53×#3346C211yesmaximal, characteristic, complemented
32C2×SD16×D53C2211yescharacteristic
33C2×#13133225C2211yescharacteristic
34C2×#13133223C2211yescharacteristic
35#16811357—21no—
36#16811356—21no—
37#16811356—21no—
38#16811350—21no—
39#16811346C2211yescharacteristic, complemented
40#16811344—21no—
41#16811344—21no—
42#16811343C2211yescharacteristic, complemented
43#16811340—21no—
44#16811337C2211yescharacteristic
45#16811336C2211yescharacteristic
46#16811334C2211yescharacteristic, complemented
47#16811326C2211yescharacteristic
48#16811323C2211yescharacteristic
49#16811319C2211yescharacteristic
50#16811308C2211yescharacteristic, complemented
51#16811308C2211yescharacteristic, complemented
52#16811307C2211yescharacteristic, complemented
53#16811307C2211yescharacteristic, complemented
54#16811291—21no—
55#16811274C2211yescharacteristic
56#16811273C2211yescharacteristic
57#16811219—21no—
58#16811219—21no—
59#16811212—21no—
60#16811205—21no—
61#16811196C2211yescharacteristic
62#16811196C2211yescharacteristic
63#16811189C2211yescharacteristic
64#16811189C2211yescharacteristic
65#16811179C2211yescharacteristic
66#16811178C2211yescharacteristic
67#16811170C2211yescharacteristic
68#16811158—21no—
69#16811155—21no—
70#16811132—21no—
71#16811131—21no—
72#16811104C2211yescharacteristic
73#16811104C2211yescharacteristic
74#16811104C2211yescharacteristic
75#16811103C2211yescharacteristic
76C4×Q8×D53C2211yescharacteristic
77C4×D4×D53C2211yescharacteristic
78#16811033C2211yescharacteristic, complemented
79#16811032C2211yescharacteristic, complemented
80#16811031C2211yescharacteristic, complemented
81#16811031C2211yescharacteristic, complemented
82#16811030C2211yescharacteristic, complemented
83#16811030C2211yescharacteristic, complemented
84#16811029C2211yescharacteristic, complemented
85#16810967C2211yescharacteristic, complemented
86#16810966C2211yescharacteristic, complemented
87#16810965C2211yescharacteristic, complemented
88#16810964C2211yescharacteristic, complemented
89#16810963C2211yescharacteristic, complemented
90#16810962C2211yescharacteristic, complemented
91#16810961C2211yescharacteristic, complemented
92#16810960C2211yescharacteristic, complemented
93#16810960C2211yescharacteristic, complemented
94#16810956C2211yescharacteristic, complemented
95#16810954C2211yescharacteristic, complemented
96#16810953C2211yescharacteristic, complemented
97#16810952C2211yescharacteristic, complemented
98#16810952C2211yescharacteristic, complemented
99#16810950C2211yescharacteristic
100#16810949C2211yescharacteristic
101#16810948C2211yescharacteristic
102#16810948C2211yescharacteristic
103#16810946C2211yescharacteristic
104#16810945C2211yescharacteristic
105#16810944C2211yescharacteristic
106#16810944C2211yescharacteristic
107#16810943C2211yescharacteristic
108#16810941C2211yescharacteristic
109#16810940C2211yescharacteristic
110#16810938C2211yescharacteristic
111#16810936C2211yescharacteristic
112#16810935C2211yescharacteristic
113#16810931C2211yescharacteristic, complemented
114#16810930C2211yescharacteristic, complemented
115#16810927C2211yescharacteristic, complemented
116#16810926C2211yescharacteristic
117#16810926C2211yescharacteristic
118#16810925C2211yescharacteristic
119#16810925C2211yescharacteristic
120#16810917C2211yescharacteristic, complemented
121#16810916C2211yescharacteristic, complemented
122#16810914C2211yescharacteristic
123#16810913C2211yescharacteristic
124#16810907C2211yescharacteristic, complemented
125#16810906C2211yescharacteristic, complemented
126#16810900C2211yescharacteristic
127#16810872C2211yescharacteristic
128#16810871C2211yescharacteristic
129#16810870C2211yescharacteristic
130#16810869C2211yescharacteristic
131#16810868C2211yescharacteristic
132#16810867C2211yescharacteristic
133#16810866C2211yescharacteristic
134#16810855C2211yescharacteristic
135#16810854C2211yescharacteristic
136#16810853C2211yescharacteristic
137#16810852C2211yescharacteristic
138#16810851C2211yescharacteristic
139#16810850C2211yescharacteristic
140#16810849C2211yescharacteristic
141#16810726C2211yescharacteristic
142#16810725C2211yescharacteristic
143#16810724C2211yescharacteristic
144#16810723C2211yescharacteristic
145#16810722C2211yescharacteristic
146#16810721C2211yescharacteristic
147#16810720C2211yescharacteristic
148#16810697C2211yescharacteristic, complemented
149#16810696C2211yescharacteristic, complemented
150#16810695C2211yescharacteristic, complemented
151#16810694C2211yescharacteristic, complemented
152#16810693C2211yescharacteristic, complemented
153#16810692C2211yescharacteristic, complemented
154#16810691C2211yescharacteristic, complemented
155#16810665C2211yescharacteristic, complemented
156#16810664C2211yescharacteristic
157#16810664C2211yescharacteristic
158#16810664C2211yescharacteristic
159#16810664C2211yescharacteristic, complemented
160#16810664C2211yescharacteristic, complemented
161#16810664C2211yescharacteristic, complemented
162#16810663C2211yescharacteristic, complemented
163#16810663C2211yescharacteristic, complemented
164#16810662C2211yescharacteristic
165#16810662C2211yescharacteristic, complemented
166#16810661C2211yescharacteristic, complemented
167#16810660C2211yescharacteristic
168#16810660C2211yescharacteristic
169#16810660C2211yescharacteristic, complemented
170#16810659C2211yescharacteristic, complemented
171#16810658C2211yescharacteristic
172#16810658C2211yescharacteristic
173#16810658C2211yescharacteristic, complemented
174C2×#13133150C2211yescharacteristic, complemented
175#107×D53C2211yescharacteristic
176#107×D53C2211yescharacteristic, complemented
177#107×D53C2211yescharacteristic, complemented
178#16810645C2211yescharacteristic
179#16810630C2211yescharacteristic
180#16810630C2211yescharacteristic
181#16810626C2211yescharacteristic
182#16810626C2211yescharacteristic
183#103×D53C2211yescharacteristic
184#102×D53C2211yescharacteristic
185#16810588C2211yescharacteristic
186#16810588C2211yescharacteristic
187#97×D53C2211yescharacteristic
188C53×#554C2211yescharacteristic, complemented
189C53×#553C2211yescharacteristic
190C53×#501C2211yescharacteristic, complemented
191C53×#485C2211yescharacteristic, complemented
192C53×#484C2211yescharacteristic, complemented
193C53×#481C2211yescharacteristic
194C53×#480C2211yescharacteristic
195C53×#479C2211yescharacteristic, complemented
196C53×#474C2211yescharacteristic
197C53×#468C2211yescharacteristic
198C53×#465C2211yescharacteristic
199C53×#440C2211yescharacteristic
200C53×#435C2211yescharacteristic, complemented
201C53×#428C2211yescharacteristic, complemented
202C2×#107×C53C2211yescharacteristic, complemented
203C2×#11719945—21no—
204C2×#11719945C2311yescharacteristic
205C2×#11719945C2311yescharacteristic
206C2×#11719947—21no—
207C2×Q8×D53C2311yescharacteristic
208C2×D4×D53C2311yescharacteristic
209C22×C4×D53—21no—
210C2×#11719913C2311yescharacteristic
211C2×#11719923C2311yescharacteristic
212C2×#11719924C2311yescharacteristic
213SD16×D53—24no—
214#13133225—24no—
215#13133223—24no—
216C2×#11719917C2311yescharacteristic
217C2×#11719912C2311yescharacteristic
218C2×#11719912C2311yescharacteristic
219C2×#11719912C2311yescharacteristic
220C2×#11719912C2311yescharacteristic
221C22×#88322C2311yescharacteristic
222C2×C8×D53C2311yescharacteristic
223C2×C8×D53C2311yescharacteristic
224C2×C8×D53C2311yescharacteristic
225C2×C8×D53C2311yescharacteristic
226#13133217C2311yescharacteristic
227#13133216—21no—
228#13133216—21no—
229#13133216D411yescharacteristic
230#13133216C2311yescharacteristic
231#13133216C2311yescharacteristic
232#13133213—21no—
233#13133213—21no—
234#13133213D411yescharacteristic
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133212—21no—
240#13133212—21no—
241#13133210—21no—
242#13133210—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133209C2311yescharacteristic
247#13133208—21no—
248#13133208C2311yescharacteristic
249#13133208C2311yescharacteristic
250#13133207—21no—
251#13133207—21no—
252#13133207—21no—
253#13133207—21no—
254#13133205—21no—
255#13133205—21no—
256#13133204—21no—
257#13133204—21no—
258#13133203—21no—
259#13133203—21no—
260#13133203—21no—
261#13133203—21no—
262#13133203—21no—
263#13133203—21no—
264#13133203D411yescharacteristic
265#13133203D411yescharacteristic
266#13133202—21no—
267#13133202—21no—
268#13133202—21no—
269#13133202—21no—
270#13133200—21no—
271#13133200—21no—
272#13133200—21no—
273#13133200—21no—
274#13133199—21no—
275#13133199—21no—
276#13133199—21no—
277#13133199—21no—
278#13133199—21no—
279#13133199—21no—
280#13133198—21no—
281#13133197—21no—
282#13133197C2311yescharacteristic
283#13133197C2311yescharacteristic
284#13133196C2311yescharacteristic
285#13133196C2311yescharacteristic
286#13133195—21no—
287#13133195—21no—
288#13133195—21no—
289#13133194—21no—
290#13133193—21no—
291#13133193—21no—
292#13133193—21no—
293#13133193C2311yescharacteristic
294#13133193C2311yescharacteristic
295#13133192—21no—
296#13133192D411yescharacteristic
297#13133192C2311yescharacteristic
298#13133192C2311yescharacteristic
299#13133191C2311yescharacteristic
300#13133191C2311yescharacteristic
301#13133190—21no—
302#13133190—21no—
303#13133190D411yescharacteristic
304#13133190D411yescharacteristic
305#13133189—21no—
306#13133189—21no—
307#13133188D411yescharacteristic
308#13133188C2311yescharacteristic
309#13133188C2311yescharacteristic
310#13133187—21no—
311#13133187—21no—
312#13133185—21no—
313#13133185—21no—
314Q8×Dic53—21no—
315Q8×Dic53C2311yescharacteristic
316C4×Dic106—21no—
317C4×Dic106—21no—
318C4×Dic106—21no—
319C4×Dic106C2311yescharacteristic
320#13133182—21no—
321#13133182—21no—
322#13133182—21no—
323#13133182—21no—
324#13133182—21no—
325#13133182—21no—
326#13133182—21no—
327#13133182—21no—
328#13133182C2311yescharacteristic
329C4×D212—21no—
330C4×D212C2311yescharacteristic
331C4×D212C2311yescharacteristic
332D4×Dic53C2311yescharacteristic
333#13133179—21no—
334#13133179—21no—
335#13133179—21no—
336#13133179—21no—
337#13133179—21no—
338#13133179C2311yescharacteristic
339C4×C22⋊D53—21no—
340C4×C22⋊D53—21no—
341C4×C22⋊D53—21no—
342C4×C22⋊D53—21no—
343C4×C22⋊D53—21no—
344C4×C22⋊D53—21no—
345C4×C22⋊D53—21no—
346C4×C22⋊D53—21no—
347C4×C22⋊D53C2311yescharacteristic
348C4×C22⋊D53C2311yescharacteristic
349#13133177—21no—
350#13133177—21no—
351#13133177—21no—
352#13133177—21no—
353#13133176—21no—
354#13133176—21no—
355#13133176C2311yescharacteristic
356#13133176C2311yescharacteristic
357#13133176C2311yescharacteristic
358#13133175—21no—
359#13133175—21no—
360#13133175C2311yescharacteristic
361#13133175C2311yescharacteristic
362#13133175C2311yescharacteristic
363#13133175C2311yescharacteristic
364#13133175C2311yescharacteristic
365#13133175C2311yescharacteristic
366#13133175C2311yescharacteristic
367#13133175C2311yescharacteristic
368#13133174—21no—
369#13133173—21no—
370C2×C4⋊Dic53C2311yescharacteristic
371C4⋊C4×D53—21no—
372C4⋊C4×D53C2311yescharacteristic
373C4⋊C4×D53C2311yescharacteristic
374C4⋊C4×D53C2311yescharacteristic
375C4⋊C4×D53C2311yescharacteristic
376C4⋊C4×D53C2311yescharacteristic
377C4⋊C4×D53C2311yescharacteristic
378C22⋊C4×D53—21no—
379C42×D53—21no—
380C42×D53C2311yescharacteristic
381#13133151C2311yescharacteristic
382#13133151C2311yescharacteristic
383#13133151C2311yescharacteristic
384#13133151C2311yescharacteristic
385#13133150C2311yescharacteristic
386#13133150C2311yescharacteristic
387#13133150C2311yescharacteristic
388#13133150C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133150C2311yescharacteristic
394#13133150C2311yescharacteristic
395#13133149C2311yescharacteristic
396#13133149C2311yescharacteristic
397#13133149C2311yescharacteristic
398#13133149C2311yescharacteristic
399#13133149C2311yescharacteristic
400#13133148C2311yescharacteristic
401#13133148C2311yescharacteristic
402#13133148C2311yescharacteristic
403#13133148C2311yescharacteristic
404#13133148C2311yescharacteristic
405#13133148C2311yescharacteristic
406#13133148C2311yescharacteristic
407#13133148C2311yescharacteristic
408C4⋊#88322C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133142C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133141C2311yescharacteristic
416#13133141C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133140C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429C22⋊#88322C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133128C2311yescharacteristic
436#13133127C2311yescharacteristic
437#13133127C2311yescharacteristic
438C2×SD16×C53C2311yescharacteristic
439C2×M16×C53C2311yescharacteristic
440C22×C8×C53C2311yescharacteristic
441C4⋊Q8×C53C2311yescharacteristic
442#126×C53—21no—
443#125×C53—21no—
444#125×C53C2311yescharacteristic
445#123×C53—21no—
446C22⋊Q8×C53—21no—
447C22⋊Q8×C53—21no—
448C22⋊Q8×C53C2311yescharacteristic
449C22⋊Q8×C53C2311yescharacteristic
450#121×C53—21no—
451#121×C53C2311yescharacteristic
452#121×C53C2311yescharacteristic
453C4×Q8×C53C2311yescharacteristic
454C4×D4×C53—21no—
455C4×D4×C53—21no—
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458#117×C53C2311yescharacteristic
459C2×C4⋊C4×C53C2311yescharacteristic
460C2×C4⋊C4×C53C2311yescharacteristic
461C2×C4⋊C4×C53C2311yescharacteristic
462#107×C53C2311yescharacteristic
463#107×C53C2311yescharacteristic
464#107×C53C2311yescharacteristic
465#107×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470#106×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#103×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478C22⋊C8×C53C2311yescharacteristic
479C22⋊C8×C53C2311yescharacteristic
480#97×C53C2311yescharacteristic
481C23×D53—21no—
482C2×Q8×C53—21no—
483C2×Q8×C53C2411yescharacteristic
484C2×D4×C53—21no—
485C2×D4×C53—21no—
486C2×D4×C53C2×D411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C22×C4×C53—21no—
489C22×C4×C53—21no—
490C22×C4×C53—21no—
491C22×C4×C53—21no—
492C22×C4×C53C2411yescharacteristic
493C22×C4×C53C2411yescharacteristic
494C2×C22⋊D53—21no—
495C2×C22⋊D53—21no—
496C2×C22⋊D53—21no—
497C2×C22⋊D53—21no—
498C2×C22⋊D53—21no—
499C2×C22⋊D53C2×D411yescharacteristic
500C2×C22⋊D53C2×D411yescharacteristic
501C2×C22⋊D53C2×D411yescharacteristic
502C2×C22⋊D53C2×D411yescharacteristic
503C2×C22⋊D53C2×D411yescharacteristic
504C2×C22⋊D53C2×D411yescharacteristic
505C22×Dic53—21no—
506C22×Dic53—21no—
507Q8×D53—22no—
508Q8×D53—22no—
509#11719947—82no—
510D4×D53—22no—
511D4×D53—22no—
512#11719945—22no—
513#11719945—22no—
514#11719945—22no—
515#11719945—22no—
516#11719945—82no—
517C2×D212—21no—
518C2×D212—21no—
519C2×D212C2×D411yescharacteristic
520C2×D212C2×D411yescharacteristic
521C2×D212C2×D411yescharacteristic
522C2×D212C2411yescharacteristic
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×C4×D53—21no—
527C2×C4×D53—21no—
528C2×C4×D53—21no—
529C2×C4×D53—21no—
530C2×C4×D53—21no—
531C2×C4×D53—21no—
532C2×C4×D53—82no—
533C2×C4×D53C2×D411yescharacteristic
534C2×C4×D53C2×D411yescharacteristic
535C2×C4×D53C2411yescharacteristic
536C2×C4×D53C2411yescharacteristic
537C2×C4×D53C2411yescharacteristic
538C2×Dic106—21no—
539C2×Dic106—21no—
540C2×Dic106—21no—
541C2×Dic106—21no—
542C2×Dic106C2×D411yescharacteristic
543C2×Dic106C2×D411yescharacteristic
544C2×Dic106C2411yescharacteristic
545SD16×C53—22no—
546M16×C53—22no—
547C2×C8×C53—22no—
548C2×C8×C53C2411yescharacteristic
549C2×C8×C53C2411yescharacteristic
550C2×C8×C53C2411yescharacteristic
551C2×C8×C53C2411yescharacteristic
552C4⋊C4×C53—21no—
553C4⋊C4×C53—21no—
554C4⋊C4×C53—21no—
555C4⋊C4×C53—21no—
556C4⋊C4×C53—21no—
557C4⋊C4×C53—21no—
558C4⋊C4×C53—21no—
559C4⋊C4×C53—21no—
560C4⋊C4×C53—21no—
561C4⋊C4×C53C2×D411yescharacteristic
562C4⋊C4×C53C2411yescharacteristic
563C4⋊C4×C53C2411yescharacteristic
564C4⋊C4×C53C2411yescharacteristic
565C4⋊C4×C53C2411yescharacteristic
566C4⋊C4×C53C2411yescharacteristic
567C4⋊C4×C53C2411yescharacteristic
568C22⋊C4×C53—21no—
569C22⋊C4×C53—21no—
570C22⋊C4×C53—21no—
571C22⋊C4×C53—21no—
572C22⋊C4×C53—21no—
573C22⋊C4×C53—21no—
574C22⋊C4×C53C2×D411yescharacteristic
575C22⋊C4×C53C2×D411yescharacteristic
576C42×C53—21no—
577C42×C53—21no—
578C42×C53C2411yescharacteristic
579C22⋊Dic53—21no—
580C22⋊Dic53—21no—
581C22⋊Dic53—21no—
582C22⋊Dic53—21no—
583C22⋊Dic53—21no—
584C22⋊Dic53—21no—
585C22⋊Dic53—21no—
586C22⋊Dic53—21no—
587C22⋊Dic53C2×D411yescharacteristic
588C22⋊Dic53C2×D411yescharacteristic
589#11719924—22no—
590#11719923—22no—
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#11719921—21no—
605#11719921—21no—
606#11719921—21no—
607#11719921—21no—
608#11719921—21no—
609#11719921C2×D411yescharacteristic
610#11719921C2×D411yescharacteristic
611#11719921C2×D411yescharacteristic
612#11719921C2×D411yescharacteristic
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⋊Dic53C2411yescharacteristic
622C4⋊Dic53C2411yescharacteristic
623C4⋊Dic53C2411yescharacteristic
624C4⋊Dic53C2411yescharacteristic
625C4⋊Dic53C2411yescharacteristic
626C4⋊Dic53C2411yescharacteristic
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#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919C2×D411yescharacteristic
646#11719919C2×D411yescharacteristic
647C4×Dic53—21no—
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×Dic53—21no—
657C4×Dic53—21no—
658C4×Dic53—21no—
659C4×Dic53—21no—
660C4×Dic53—21no—
661C4×Dic53C2×D411yescharacteristic
662C4×Dic53C2×D411yescharacteristic
663C4×Dic53C2411yescharacteristic
664#11719917—22no—
665C2×#88322—22no—
666C2×#88322C2411yescharacteristic
667C2×#88322C2411yescharacteristic
668C2×#88322C2411yescharacteristic
669C2×#88322C2411yescharacteristic
670#11719913—22no—
671#11719912—22no—
672#11719912—22no—
673#11719912—22no—
674#11719912—22no—
675C8×D53—22no—
676C8×D53—22no—
677C8×D53—22no—
678C8×D53#4114yescomplemented
679C23×C53—21no—
680C23×C53C22×D411yescharacteristic
681C23×C53C22×D411yescharacteristic
682C22×D53—21no—
683C22×D53—42no—
684C22×D53—81no—
685C22×D53—81no—
686C22×D53C22×D411yescharacteristic
687C22×D53C22×D411yescharacteristic
688C22×D53C22×D411yescharacteristic
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—81no—
692D4×C53—21no—
693D4×C53—21no—
694D4×C53—41no—
695D4×C53—81no—
696D4×C53—81no—
697C2×C4×C53—21no—
698C2×C4×C53—21no—
699C2×C4×C53—21no—
700C2×C4×C53—21no—
701C2×C4×C53—21no—
702C2×C4×C53—21no—
703C2×C4×C53—21no—
704C2×C4×C53—21no—
705C2×C4×C53—21no—
706C2×C4×C53—21no—
707C2×C4×C53—21no—
708C2×C4×C53—81no—
709C2×C4×C53—81no—
710C2×C4×C53—81no—
711C2×C4×C53—81no—
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C2511yescharacteristic
717C22⋊D53—22no—
718C22⋊D53—22no—
719C22⋊D53—22no—
720C22⋊D53—22no—
721C22⋊D53—41no—
722C22⋊D53—41no—
723C22⋊D53—42no—
724C22⋊D53—81no—
725C22⋊D53—81no—
726C22⋊D53—81no—
727C22⋊D53—81no—
728C2×Dic53—21no—
729C2×Dic53—21no—
730C2×Dic53—21no—
731C2×Dic53—21no—
732C2×Dic53—21no—
733C2×Dic53—21no—
734C2×Dic53—21no—
735C2×Dic53—42no—
736C2×Dic53—81no—
737C2×Dic53C22×D411yescharacteristic
738C2×Dic53C22×D411yescharacteristic
739C2×Dic53C22×D411yescharacteristic
740C2×Dic53C22×D411yescharacteristic
741C2×Dic53C22×D411yescharacteristic
742D212—22no—
743D212—22no—
744D212—21no—
745D212—21no—
746D212—41no—
747D212—81no—
748D212—81no—
749C4×D53—21no—
750C4×D53—21no—
751C4×D53—21no—
752C4×D53—21no—
753C4×D53—41no—
754C4×D53—41no—
755C4×D53—42no—
756C4×D53—42no—
757C4×D53—81no—
758C4×D53—81no—
759C4×D53—81no—
760C4×D53—81no—
761C4×D53—81no—
762C4×D53—81no—
763C4×D53—81no—
764C4×D53C2×#4112yes—
765C4×D532−1+412yes—
766Dic106—22no—
767Dic106—22no—
768Dic106—21no—
769Dic106—21no—
770Dic106—42no—
771Dic106—42no—
772Dic106—42no—
773Dic106—81no—
774C8×C53—21no—
775C8×C53—21no—
776C8×C53—21no—
777C8×C53C2×#4112yes—
778#88322—21no—
779#88322—21no—
780#88322—21no—
781#88322C2×#4112yes—
782#61291—531nomaximal, Sylow
783C22×C53—21no—
784C22×C53—21no—
785C22×C53—21no—
786C22×C53—21no—
787C22×C53—21no—
788C22×C53—21no—
789C22×C53—41no—
790C22×C53—41no—
791C22×C53—41no—
792C22×C53C23×D411yescharacteristic
793C2×D53—21no—
794C2×D53—21no—
795C2×D53—21no—
796C2×D53—21no—
797C2×D53—21no—
798C2×D53—21no—
799C2×D53—21no—
800C2×D53—21no—
801C2×D53—41no—
802C2×D53—41no—
803C2×D53—41no—
804C2×D53—84no—
805C2×D53#54712yes—
806C4×C53—21no—
807C4×C53—21no—
808C4×C53—21no—
809C4×C53—21no—
810C4×C53—41no—
811C4×C53—41no—
812C4×C53—41no—
813C4×C53—41no—
814C4×C53—41no—
815C4×C53—41no—
816C4×C53—41no—
817C4×C53C22×#4111yescharacteristic
818C4×C53C2×2−1+411yescharacteristic
819Dic53—21no—
820Dic53—21no—
821Dic53—21no—
822Dic53—21no—
823Dic53—41no—
824Dic53—41no—
825Dic53—41no—
826Dic53—41no—
827Dic53—41no—
828Dic53—41no—
829Dic53—41no—
830Dic53#54712yes—
831#3507—531no—
832#3506—531no—
833#3350—531no—
834#3350—531no—
835#3350—531no—
836#3350—531no—
837#3348—531no—
838#3348—531no—
839#3348—531no—
840#3348—531no—
841#3346—531no—
842#3346—531no—
843#3346—531no—
844#3346D5311yescharacteristic, complemented
845#3343—531no—
846#3343—531no—
847#3343—531no—
848#3343—531no—
849#3162—531no—
850#3097—531no—
851#3097—531no—
852#3096—531no—
853#3096—531no—
854#3078—531no—
855#3077—531no—
856#3057—531no—
857#3057—531no—
858C2×#440—531no—
859#2932—531no—
860#2913—531no—
861#2913—531no—
862C2×C53—41no—
863C2×C53—41no—
864C2×C53—81no—
865C2×C53C2×#54711yescharacteristic
866C2×C53#358511yescharacteristic
867C2×C53#358611yescharacteristic
868D53—22no—
869D53—41no—
870D53—41no—
871D53—81no—
872C22×SD16—531no—
873C2×#131—531no—
874C2×#131—531no—
875#559—1061no—
876#559—1061no—
877#559—1061no—
878#557—1061no—
879#556—531no—
880#556—531no—
881#556—1061no—
882#556—1061no—
883#556—1061no—
884#555—531no—
885#555—531no—
886#554—531no—
887#554C2×D5311yescharacteristic, complemented
888#553—531no—
889#553—531no—
890#553—531no—
891#553C2×D5311yescharacteristic
892#552—531no—
893#552—531no—
894#552—531no—
895#552—531no—
896#550—1061no—
897#547—531no—
898#547—531no—
899#539—1061no—
900#539—1061no—
901#538—1061no—
902#538—1061no—
903#536—531no—
904#536—531no—
905#535—531no—
906#535—531no—
907#533—531no—
908#533—531no—
909#532—531no—
910#529—1061no—
911#529—1061no—
912#525—1061no—
913#525—1061no—
914#520—531no—
915#520—531no—
916#520—531no—
917#520—531no—
918C2×C4×Q8—531no—
919C2×C4×D4—531no—
920#501—531no—
921#501—531no—
922#501—531no—
923#501—531no—
924#501—531no—
925#501—531no—
926#501—531no—
927#501C2×D5311yescharacteristic, complemented
928#485—531no—
929#485—531no—
930#485—531no—
931#485—531no—
932#485—531no—
933#485—531no—
934#485—531no—
935#485C2×D5311yescharacteristic, complemented
936#484—531no—
937#484—531no—
938#484—531no—
939#484C2×D5311yescharacteristic, complemented
940#483—531no—
941#483—531no—
942#483—531no—
943#483—531no—
944#482—531no—
945#482—531no—
946#482—531no—
947#482—531no—
948#482—531no—
949#482—531no—
950#482—531no—
951#482—531no—
952#481—531no—
953#481—531no—
954#481—531no—
955#481C2×D5311yescharacteristic
956#480—531no—
957#480—531no—
958#480—531no—
959#480C2×D5311yescharacteristic
960#479—531no—
961#479—531no—
962#479—531no—
963#479C2×D5311yescharacteristic, complemented
964#478—531no—
965#478—531no—
966#478—531no—
967#478—531no—
968#477—531no—
969#477—531no—
970#476—531no—
971#476—531no—
972#475—531no—
973#475—531no—
974#474—531no—
975#474C2×D5311yescharacteristic
976#468—531no—
977#468—531no—
978#468—531no—
979#468—531no—
980#468—531no—
981#468—531no—
982#468—531no—
983#468C2×D5311yescharacteristic
984#465—531no—
985#465—531no—
986#465—531no—
987#465—531no—
988#465—531no—
989#465—531no—
990#465—531no—
991#465C2×D5311yescharacteristic
992#440—531no—
993#440—531no—
994#440—531no—
995#440—531no—
996#440—531no—
997#440—531no—
998#440—531no—
999#440C2×D5311yescharacteristic
1000#435—531no—
1001#435—531no—
1002#435—531no—
1003#435—531no—
1004#435—531no—
1005#435—531no—
1006#435—531no—
1007#435C2×D5311yescharacteristic, complemented
1008#428—531no—
1009#428—531no—
1010#428—531no—
1011#428—531no—
1012#428—531no—
1013#428—531no—
1014#428—531no—
1015#428—531no—
1016#428—531no—
1017#428—531no—
1018#428—531no—
1019#428C2×D5311yescharacteristic, complemented
1020#427—531no—
1021#427—531no—
1022#427—531no—
1023#427—531no—
1024#427—531no—
1025#427—531no—
1026#427—531no—
1027#427—531no—
1028C2×#107—531no—
1029C2×#107—531no—
1030C2×#107—531no—
1031C2×#107—531no—
1032C2×#107C2×D5311yescharacteristic, complemented
1033#423—531no—
1034#419—531no—
1035#419—531no—
1036#418—531no—
1037#418—531no—
1038C2×#103—531no—
1039C2×#102—531no—
1040#408—531no—
1041#408—531no—
1042C2×#97—531no—
1043C53#6129111yescharacteristic, complemented, Sylow
1044C2×#41—531no—
1045C2×#41—531no—
1046C2×#41—1061no—
1047C2×#41—1061no—
1048C22×Q8—531no—
1049C22×D4—531no—
1050C23×C4—1061no—
1051C2×SD16—531no—
1052C2×SD16—531no—
1053C2×SD16—531no—
1054C2×SD16—1064no—
1055C2×SD16C22×D5311yescharacteristic
1056#131—1064no—
1057#131—1064no—
1058C2×M16—531no—
1059C2×M16—531no—
1060C2×M16—531no—
1061C2×M16—531no—
1062C2×M16—531no—
1063C2×M16C22×D5311yescharacteristic
1064C22×C8—531no—
1065C22×C8—531no—
1066C22×C8—531no—
1067C22×C8—531no—
1068C22×C8—531no—
1069C22×C8C22×D5311yescharacteristic
1070C4⋊Q8—531no—
1071C4⋊Q8—531no—
1072C4⋊Q8—531no—
1073C4⋊Q8—531no—
1074C4⋊Q8—1061no—
1075C4⋊Q8—1061no—
1076C4⋊Q8C22×D5311yescharacteristic
1077#127—531no—
1078#127—1061no—
1079#127—1061no—
1080#126—21no—
1081#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—21no—
1093#125—531no—
1094#125—531no—
1095#125—531no—
1096#125—1061no—
1097#125—1061no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125C22×D5311yescharacteristic
1102#124—531no—
1103#124—531no—
1104#124—1061no—
1105#124—1061no—
1106#124—1061no—
1107#124—1061no—
1108#124—1061no—
1109#124—1061no—
1110#124—1061no—
1111#124—1061no—
1112#124—1061no—
1113#124—1061no—
1114#123—21no—
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—
1128#123—1061no—
1129#123—1061no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—531no—
1133C22⋊Q8—531no—
1134C22⋊Q8—531no—
1135C22⋊Q8—531no—
1136C22⋊Q8—531no—
1137C22⋊Q8—531no—
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⋊Q8C22×D5311yescharacteristic
1147C22⋊Q8C22×D5311yescharacteristic
1148#121—21no—
1149#121—531no—
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—531no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121—1061no—
1163#121—1061no—
1164#121C22×D5311yescharacteristic
1165#121C22×D5311yescharacteristic
1166#120—1061no—
1167#120—1061no—
1168#120—1061no—
1169#120—1061no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—1061no—
1174C4×Q8—1061no—
1175C4×Q8—1061no—
1176C4×Q8—1061no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8—1061no—
1181C4×Q8—1061no—
1182C4×Q8—1061no—
1183C4×Q8—1061no—
1184C4×Q8—1061no—
1185C4×Q8C22×D5311yescharacteristic
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—531no—
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×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4C22×D5311yescharacteristic
1213C4×D4C22×D5311yescharacteristic
1214#117—531no—
1215#117—531no—
1216#117—531no—
1217#117—531no—
1218#117—531no—
1219#117—531no—
1220#117—531no—
1221#117—531no—
1222#117—531no—
1223#117—531no—
1224#117—531no—
1225#117—1061no—
1226#117—1061no—
1227#117—1061no—
1228#117—1061no—
1229#117—1061no—
1230#117—1061no—
1231#117C22×D5311yescharacteristic
1232C2×C4⋊C4—531no—
1233C2×C4⋊C4—531no—
1234C2×C4⋊C4—531no—
1235C2×C4⋊C4—531no—
1236C2×C4⋊C4—531no—
1237C2×C4⋊C4—531no—
1238C2×C4⋊C4—531no—
1239C2×C4⋊C4—1061no—
1240C2×C4⋊C4C22×D5311yescharacteristic
1241C2×C4⋊C4C22×D5311yescharacteristic
1242C2×C4⋊C4C22×D5311yescharacteristic
1243C2×C22⋊C4—1061no—
1244C2×C42—531no—
1245C2×C42—1061no—
1246#107—531no—
1247#107—531no—
1248#107—531no—
1249#107—531no—
1250#107—531no—
1251#107—531no—
1252#107—531no—
1253#107—531no—
1254#107—531no—
1255#107—531no—
1256#107—531no—
1257#107—531no—
1258#107—531no—
1259#107—531no—
1260#107C22×D5311yescharacteristic
1261#107C22×D5311yescharacteristic
1262#107C22×D5311yescharacteristic
1263#107C22×D5311yescharacteristic
1264#107C22×D5311yescharacteristic
1265#107C22×D5311yescharacteristic
1266#106—531no—
1267#106—531no—
1268#106—531no—
1269#106—531no—
1270#106—531no—
1271#106—531no—
1272#106—531no—
1273#106—531no—
1274#106—531no—
1275#106—531no—
1276#106—531no—
1277#106—531no—
1278#106—531no—
1279#106C22×D5311yescharacteristic
1280#106C22×D5311yescharacteristic
1281#106C22×D5311yescharacteristic
1282C4⋊C8—531no—
1283C4⋊C8—531no—
1284C4⋊C8—531no—
1285C4⋊C8C22×D5311yescharacteristic
1286#103—531no—
1287#103—531no—
1288#103—531no—
1289#103—531no—
1290#103—531no—
1291#103—531no—
1292#103—531no—
1293#103—531no—
1294#103—531no—
1295#103C22×D5311yescharacteristic
1296#103C22×D5311yescharacteristic
1297#103C22×D5311yescharacteristic
1298#102—531no—
1299#102—531no—
1300#102—531no—
1301#102—531no—
1302#102—531no—
1303#102—531no—
1304#102—531no—
1305#102—531no—
1306#102—531no—
1307#102C22×D5311yescharacteristic
1308#102C22×D5311yescharacteristic
1309#102C22×D5311yescharacteristic
1310C22⋊C8—531no—
1311C22⋊C8—531no—
1312C22⋊C8—531no—
1313C22⋊C8—531no—
1314C22⋊C8—531no—
1315C22⋊C8—531no—
1316C22⋊C8C22×D5311yescharacteristic
1317C22⋊C8C22×D5311yescharacteristic
1318#97—531no—
1319#97—531no—
1320#97—531no—
1321#97C22×D5311yescharacteristic
1322C24—1061no—
1323#41—1062no—
1324#41—1062no—
1325#41—1062no—
1326#41—1062no—
1327#41—4242no—
1328#41—4242no—
1329C2×Q8—21no—
1330C2×Q8—531no—
1331C2×Q8—531no—
1332C2×Q8—531no—
1333C2×Q8—1061no—
1334C2×Q8—1061no—
1335C2×Q8—1061no—
1336C2×Q8—1062no—
1337C2×Q8—1062no—
1338C2×Q8—1061no—
1339C2×Q8C23×D5311yescharacteristic
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—531no—
1343C2×D4—531no—
1344C2×D4—531no—
1345C2×D4—531no—
1346C2×D4—531no—
1347C2×D4—531no—
1348C2×D4—531no—
1349C2×D4—531no—
1350C2×D4—531no—
1351C2×D4—531no—
1352C2×D4—1061no—
1353C2×D4—1061no—
1354C2×D4—1062no—
1355C2×D4—1062no—
1356C2×D4—1061no—
1357C2×D4—1061no—
1358C2×D4—1061no—
1359C2×D4—1061no—
1360C2×D4—1061no—
1361C2×D4D4×D5311yescharacteristic
1362C2×D4C23×D5311yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—531no—
1368C22×C4—531no—
1369C22×C4—531no—
1370C22×C4—531no—
1371C22×C4—531no—
1372C22×C4—1061no—
1373C22×C4—1061no—
1374C22×C4—1061no—
1375C22×C4—1061no—
1376C22×C4—1061no—
1377C22×C4—1061no—
1378C22×C4—1061no—
1379C22×C4—1061no—
1380C22×C4—1061no—
1381C22×C4—1061no—
1382C22×C4—1061no—
1383C22×C4—4242no—
1384C22×C4C23×D5311yescharacteristic
1385C22×C4C23×D5311yescharacteristic
1386SD16—22no—
1387SD16—1062no—
1388SD16—1062no—
1389SD16—1062no—
1390M16—22no—
1391M16—1062no—
1392M16—1062no—
1393M16—1062no—
1394M16—1062no—
1395M16—1062no—
1396C2×C8—22no—
1397C2×C8—531no—
1398C2×C8—534no—
1399C2×C8—531no—
1400C2×C8—531no—
1401C2×C8—531no—
1402C2×C8—1062no—
1403C2×C8—1062no—
1404C2×C8—1062no—
1405C2×C8—1062no—
1406C2×C8C23×D5311yescharacteristic
1407C2×C8C23×D5311yescharacteristic
1408C2×C8C23×D5311yescharacteristic
1409C2×C8C23×D5311yescharacteristic
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—531no—
1420C4⋊C4—531no—
1421C4⋊C4—531no—
1422C4⋊C4—531no—
1423C4⋊C4—531no—
1424C4⋊C4—531no—
1425C4⋊C4—531no—
1426C4⋊C4—531no—
1427C4⋊C4—531no—
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⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4—1061no—
1444C4⋊C4—1061no—
1445C4⋊C4—1061no—
1446C4⋊C4—1061no—
1447C4⋊C4—1061no—
1448C4⋊C4—1061no—
1449C4⋊C4—1061no—
1450C4⋊C4—1061no—
1451C4⋊C4—1061no—
1452C4⋊C4—1061no—
1453C4⋊C4D4×D5311yescharacteristic
1454C4⋊C4C23×D5311yescharacteristic
1455C4⋊C4C23×D5311yescharacteristic
1456C4⋊C4C23×D5311yescharacteristic
1457C4⋊C4C23×D5311yescharacteristic
1458C4⋊C4C23×D5311yescharacteristic
1459C4⋊C4C23×D5311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—531no—
1467C22⋊C4—531no—
1468C22⋊C4—531no—
1469C22⋊C4—531no—
1470C22⋊C4—531no—
1471C22⋊C4—531no—
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⋊C4—1061no—
1489C22⋊C4—1061no—
1490C22⋊C4—1061no—
1491C22⋊C4—1061no—
1492C22⋊C4—1061no—
1493C22⋊C4—1061no—
1494C22⋊C4—1061no—
1495C22⋊C4—1061no—
1496C22⋊C4—1061no—
1497C22⋊C4—1061no—
1498C22⋊C4D4×D5311yescharacteristic
1499C22⋊C4D4×D5311yescharacteristic
1500C42—21no—
1501C42—21no—
1502C42—531no—
1503C42—531no—
1504C42—531no—
1505C42—1061no—
1506C42—1061no—
1507C42—1061no—
1508C42—1061no—
1509C42—1061no—
1510C42—1061no—
1511C42—1061no—
1512C42—1061no—
1513C42—1061no—
1514C42—1061no—
1515C42—1061no—
1516C42—1061no—
1517C42—1061no—
1518C42—1061no—
1519C42C23×D5311yescharacteristic
1520C23—21no—
1521C23—531no—
1522C23—531no—
1523C23—531no—
1524C23—1061no—
1525C23—4241no—
1526C23—4241no—
1527C23—2122no—
1528C23C2×D4×D5311yescharacteristic
1529C23C2×D4×D5311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—81no—
1533Q8—1062no—
1534Q8—1062no—
1535Q8—1061no—
1536Q8—1061no—
1537Q8—4241no—
1538Q8—2122no—
1539Q8—2122no—
1540Q8—2122no—
1541D4—21no—
1542D4—21no—
1543D4—41no—
1544D4—81no—
1545D4—81no—
1546D4—1062no—
1547D4—1062no—
1548D4—1062no—
1549D4—1062no—
1550D4—1062no—
1551D4—1062no—
1552D4—1061no—
1553D4—1061no—
1554D4—4241no—
1555D4—4241no—
1556D4—4241no—
1557D4—4241no—
1558D4—4241no—
1559D4—4241no—
1560D4—2121no—
1561D4—2122no—
1562D4—2121no—
1563D4—2121no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—531no—
1580C2×C4—532no—
1581C2×C4—532no—
1582C2×C4—531no—
1583C2×C4—531no—
1584C2×C4—531no—
1585C2×C4—531no—
1586C2×C4—1061no—
1587C2×C4—1061no—
1588C2×C4—1061no—
1589C2×C4—1061no—
1590C2×C4—1061no—
1591C2×C4—1061no—
1592C2×C4—1061no—
1593C2×C4—1061no—
1594C2×C4—1061no—
1595C2×C4—1061no—
1596C2×C4—1061no—
1597C2×C4—4241no—
1598C2×C4—4241no—
1599C2×C4—4241no—
1600C2×C4—4241no—
1601C2×C4—4241no—
1602C2×C4—4241no—
1603C2×C4—4241no—
1604C2×C4—4241no—
1605C2×C4—2121no—
1606C2×C4—2121no—
1607C2×C4—2122no—
1608C2×C4—2122no—
1609C2×C4—2122no—
1610C2×C4C2×D4×D5311yescharacteristic
1611C2×C4C2×D4×D5311yescharacteristic
1612C2×C4C2×D4×D5311yescharacteristic
1613C2×C4C2×D4×D5311yescharacteristic
1614C2×C4C24×D5311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—532no—
1619C8—1061no—
1620C8—1061no—
1621C8—1061no—
1622C8#41×D5312yes—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—532no—
1633C22—1061no—
1634C22—1061no—
1635C22—1061no—
1636C22—1061no—
1637C22—1061no—
1638C22—1061no—
1639C22—1061no—
1640C22—1061no—
1641C22—4244no—
1642C22—2121no—
1643C22—2121no—
1644C22—2121no—
1645C22C22×D4×D5311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—532no—
1658C4—1061no—
1659C4—1061no—
1660C4—1061no—
1661C4—1061no—
1662C4—2121no—
1663C4—2121no—
1664C4—2121no—
1665C4—2121no—
1666C4—2121no—
1667C4—2121no—
1668C4—2121no—
1669C4C2×#41×D5311yescharacteristic
1670C42−1+4×D5311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—81no—
1674C2—1062no—
1675C2—4241no—
1676C2—2121no—
1677C2—2121no—
1678C2#547×D5311yescharacteristic
1679C2#2028949011yescharacteristic
1680C2#2028949811yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3346C2
socleC22×C53C23×D4
prime radical#20288561C2
hypercenter#3346D53
hypocenterC53#61291
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #20288578C2semidirect
3. #20287265C2semidirect
4. #20287262C2semidirect
5. #20287257C2semidirect
6. #20287254C2semidirect
7. #20287236C2semidirect
8. #20287234C2semidirect
9. #20287233C2semidirect
10. #20287231C2semidirect
11. #20287199C2semidirect
12. #20287197C2semidirect
13. #20287194C2semidirect
14. #20287159C2semidirect
15. #20287158C2semidirect
16. #20287151C2semidirect
17. #20287150C2semidirect
18. #20285236C2semidirect
19. #20284683C2semidirect
20. #20284681C2semidirect
21. #20284672C2semidirect
22. #20284666C2semidirect
23. #20284518C2semidirect
24. #20284507C2semidirect
25. #20284352C2semidirect
26. #20284349C2semidirect
27. #440×D53C2semidirect
28. #20283429C2semidirect
29. #20283314C2semidirect
30. #20283311C2semidirect
31. C53×#3346C2semidirect
39. #16811346C22semidirect
42. #16811343C22semidirect
46. #16811334C22semidirect
50. #16811308C22semidirect
51. #16811308C22semidirect
52. #16811307C22semidirect
53. #16811307C22semidirect
78. #16811033C22semidirect
79. #16811032C22semidirect
80. #16811031C22semidirect
81. #16811031C22semidirect
82. #16811030C22semidirect
83. #16811030C22semidirect
84. #16811029C22semidirect
85. #16810967C22semidirect
86. #16810966C22semidirect
87. #16810965C22semidirect
88. #16810964C22semidirect
89. #16810963C22semidirect
90. #16810962C22semidirect
91. #16810961C22semidirect
92. #16810960C22semidirect
93. #16810960C22semidirect
94. #16810956C22semidirect
95. #16810954C22semidirect
96. #16810953C22semidirect
97. #16810952C22semidirect
98. #16810952C22semidirect
113. #16810931C22semidirect
114. #16810930C22semidirect
115. #16810927C22semidirect
120. #16810917C22semidirect
121. #16810916C22semidirect
124. #16810907C22semidirect
125. #16810906C22semidirect
148. #16810697C22semidirect
149. #16810696C22semidirect
150. #16810695C22semidirect
151. #16810694C22semidirect
152. #16810693C22semidirect
153. #16810692C22semidirect
154. #16810691C22semidirect
155. #16810665C22semidirect
159. #16810664C22semidirect
160. #16810664C22semidirect
161. #16810664C22semidirect
162. #16810663C22semidirect
163. #16810663C22semidirect
165. #16810662C22semidirect
166. #16810661C22semidirect
169. #16810660C22semidirect
170. #16810659C22semidirect
173. #16810658C22semidirect
174. C2×#13133150C22semidirect
176. #107×D53C22semidirect
177. #107×D53C22semidirect
188. C53×#554C22semidirect
190. C53×#501C22semidirect
191. C53×#485C22semidirect
192. C53×#484C22semidirect
195. C53×#479C22semidirect
200. C53×#435C22semidirect
201. C53×#428C22semidirect
202. C2×#107×C53C22semidirect
678. C8×D53#41semidirect
844. #3346D53semidirect
887. #554C2×D53semidirect
927. #501C2×D53semidirect
935. #485C2×D53semidirect
939. #484C2×D53semidirect
963. #479C2×D53semidirect
1007. #435C2×D53semidirect
1019. #428C2×D53semidirect
1032. C2×#107C2×D53semidirect
1043. C53#61291semidirect

Maximal subgroups

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

subgroupindex
#202885782
#202885612
#202872652
#202872622
#202872572
#202872542
#202872362
#202872342
#202872332
#202872312
#202871992
#202871972
#202871942
#202871592
#202871582
#202871512
#202871502
#202852362
#202846832
#202846812
#202846722
#202846662
#202845182
#202845072
#202843522
#202843492
#440×D532
#202834292
#202833142
#202833112
C53×#33462
#6129153