Finite Group Databasebeta

← #28292880

Subgroups — #28292880

Order 13568.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289411C212yesmaximal, complemented
2#20289403C212yesmaximal, complemented
3#20289383C214yesmaximal, complemented
4#20289360C212yesmaximal, complemented
5#20289318C211yesmaximal, characteristic, complemented
6#20289303C212yesmaximal, complemented
7#20289285C211yesmaximal, characteristic, complemented
8#20289246C211yesmaximal, characteristic, complemented
9#20289231C211yesmaximal, characteristic, complemented
10#20289171C212yesmaximal, complemented
11#20289072C212yesmaximal, complemented
12#20288924C212yesmaximal, complemented
13#20288905C212yesmaximal, complemented
14#20288820C212yesmaximal, complemented
15#20288787C212yesmaximal, complemented
16#20288775C214yesmaximal, complemented
17#20288769C214yesmaximal, complemented
18#20288764C212yesmaximal, complemented
19#20288747C212yesmaximal, complemented
20#20288704C212yesmaximal, complemented
21#20288659C212yesmaximal, complemented
22#20288647C214yesmaximal, complemented
23#20288580C212yesmaximal, complemented
24#20288554C212yesmaximal, complemented
25#20288467C212yesmaximal, complemented
26#20288450C212yesmaximal, complemented
27#20288427C212yesmaximal, complemented
28#20288407C212yesmaximal, complemented
29#20288011C211yesmaximal, characteristic, complemented
30C2×#16811157C211yesmaximal, characteristic, complemented
31C2×C53×#529C211yesmaximal, characteristic, complemented
32C53⋊#564C2212yescomplemented
33#16811377C2212yescomplemented
34#16811377C2212yescomplemented
35#16811374C2214yescomplemented
36#16811373C2212yescomplemented
37#16811371C2212yescomplemented
38#16811369C2214yescomplemented
39#16811368C2214yescomplemented
40#16811367C2212yescomplemented
41#16811367C2212yescomplemented
42#16811365C2212yescomplemented
43#16811361C2214yescomplemented
44#16811358C2212yescomplemented
45#16811358C2212yescomplemented
46#16811357C2214yescomplemented
47#16811351C2212yescomplemented
48#16811351C2212yescomplemented
49#16811346C2212yescomplemented
50#16811346C2212yescomplemented
51#16811345C2214yescomplemented
52#16811345C2214yescomplemented
53#16811343C2212yescomplemented
54#16811341C2214yescomplemented
55#16811340C2214yescomplemented
56#16811340C2214yescomplemented
57#16811338C2212yescomplemented
58#16811336C2214yescomplemented
59#16811335C2214yescomplemented
60#16811333C2212yescomplemented
61#16811333C2212yescomplemented
62#16811330C2212yescomplemented
63#16811328C2214yescomplemented
64#16811328C2214yescomplemented
65#16811327C2214yescomplemented
66#16811324C2214yescomplemented
67#16811324C2214yescomplemented
68#16811322C2214yescomplemented
69#16811322C2214yescomplemented
70#16811321C2214yescomplemented
71#16811321C2214yescomplemented
72#16811319C2212yescomplemented
73#16811319C2212yescomplemented
74#16811319C2212yescomplemented
75#16811319C2212yescomplemented
76#16811318C2214yescomplemented
77#16811318C2214yescomplemented
78#16811317C2214yescomplemented
79#16811316C2214yescomplemented
80#16811314C2214yescomplemented
81#16811314C2214yescomplemented
82#16811313C2212yescomplemented
83#16811313C2212yescomplemented
84#16811313C2212yescomplemented
85#16811313C2212yescomplemented
86#16811312C2214yescomplemented
87#16811310C2214yescomplemented
88#16811309C2214yescomplemented
89#16811309C2214yescomplemented
90#16811308C2214yescomplemented
91#16811306C2214yescomplemented
92#16811306C2214yescomplemented
93#16811305C2214yescomplemented
94#16811305C2214yescomplemented
95#16811303C2214yescomplemented
96#16811302C2214yescomplemented
97#16811302C2214yescomplemented
98#16811301C2214yescomplemented
99#16811300C2214yescomplemented
100#16811299C2214yescomplemented
101#16811299C2214yescomplemented
102#16811299C2214yescomplemented
103#16811299C2214yescomplemented
104#16811298C2214yescomplemented
105#16811298C2214yescomplemented
106#16811297C2214yescomplemented
107#16811297C2214yescomplemented
108#16811296C2214yescomplemented
109#16811294C2212yescomplemented
110D4×Dic106C2212yescomplemented
111#16811282C2212yescomplemented
112#16811282C2212yescomplemented
113#16811282C2212yescomplemented
114#16811282C2212yescomplemented
115#16811278C2212yescomplemented
116#16811277C2212yescomplemented
117#16811274C2214yescomplemented
118#16811271C2214yescomplemented
119#16811269C2212yescomplemented
120#16811269C2212yescomplemented
121#16811269C2212yescomplemented
122#16811269C2212yescomplemented
123#16811267C2214yescomplemented
124#16811265C2214yescomplemented
125#16811263C2214yescomplemented
126#16811263C2214yescomplemented
127#16811263C2214yescomplemented
128#16811263C2214yescomplemented
129#16811262C2214yescomplemented
130D4×D212C2212yescomplemented
131D4×C22⋊D53C2214yescomplemented
132#16811252C2212yescomplemented
133#16811251C2212yescomplemented
134#16811251C2212yescomplemented
135#16811248C2212yescomplemented
136#16811244C2212yescomplemented
137#16811244C2212yescomplemented
138#16811244C2212yescomplemented
139#16811244C2212yescomplemented
140#16811243C2214yescomplemented
141#16811241C2214yescomplemented
142#16811239C2214yescomplemented
143#16811238C2214yescomplemented
144#16811237C2214yescomplemented
145#16811237C2214yescomplemented
146#16811235C2212yescomplemented
147#16811235C2212yescomplemented
148#16811232C2214yescomplemented
149#16811232C2214yescomplemented
150#16811230C2214yescomplemented
151#16811228C2212yescomplemented
152#16811228C2212yescomplemented
153#16811225C2214yescomplemented
154#16811224C2214yescomplemented
155#16811223C2214yescomplemented
156#16811222C2212yescomplemented
157#16811221C2214yescomplemented
158#16811221C2214yescomplemented
159#16811220C2214yescomplemented
160#16811220C2214yescomplemented
161#16811220C2214yescomplemented
162#16811219C2214yescomplemented
163#16811218C2212yes—
164#16811216C2214yescomplemented
165#16811215C2214yescomplemented
166#16811215C2214yescomplemented
167#16811214C2214yescomplemented
168#16811213C2212yescomplemented
169#16811212C2214yescomplemented
170#16811211C2214yescomplemented
171#16811210C2212yescomplemented
172#16811209C2214yescomplemented
173#16811207C2214yescomplemented
174#16811207C2214yescomplemented
175#16811206C2214yescomplemented
176#16811206C2214yescomplemented
177#16811205C2214yescomplemented
178#16811200C2212yescomplemented
179#16811199C2212yescomplemented
180#16811197C2214yescomplemented
181#16811192C2212yescomplemented
182#16811182C2214yescomplemented
183#16811181C2212yes—
184#16811180C2211yescharacteristic, complemented
185#16811180C2211yescharacteristic, complemented
186#16811180C2211yescharacteristic, complemented
187#16811180C2212yescomplemented
188#16811173C2212yes—
189#16811173C2211yescharacteristic, complemented
190#16811173C2211yescharacteristic, complemented
191#16811173C2211yescharacteristic, complemented
192#16811157C2212yescomplemented
193#16811157C2212yescomplemented
194#16811157C2212yescomplemented
195#16811157C2212yescomplemented
196#16811157C2212yescomplemented
197#16811157C2212yescomplemented
198#16811157C2212yescomplemented
199#16811157C2212yescomplemented
200#16811157C2212yescomplemented
201#16811157C2212yescomplemented
202#16811157C2212yescomplemented
203#16811157C2212yescomplemented
204#16811157C2212yescomplemented
205#16811157C2212yescomplemented
206#16811157C2212yescomplemented
207#16811157C2212yescomplemented
208#16811156C2214yescomplemented
209#16811156C2214yescomplemented
210#16811156C2214yescomplemented
211#16811150C2214yescomplemented
212#16811150C2214yescomplemented
213C2×#13133211C2212yescomplemented
214#126×D53C2214yescomplemented
215C2×#13133209C2211yescharacteristic, complemented
216C2×#13133205C2211yescharacteristic, complemented
217#16811134C2212yes—
218#16811134C2212yescomplemented
219#16811134C2212yescomplemented
220#16811134C2212yescomplemented
221#16811134C2212yescomplemented
222#16811131C2214yescomplemented
223C2×#13133200C2212yescomplemented
224#123×D53C2214yescomplemented
225C2×#13133196C2212yescomplemented
226C2×#13133196C2211yescharacteristic, complemented
227C2×#13133191C2211yescharacteristic
228C2×#13133191C2212yescomplemented
229#16811104C2214yescomplemented
230#16811103C2212yescomplemented
231#16811103C2212yescomplemented
232#16811102C2214yescomplemented
233#16811100C2212yescomplemented
234#16811097C2212yescomplemented
235#16811096C2214yescomplemented
236#16811095C2214yescomplemented
237C4×#11719945C2212yescomplemented
238C4×#11719945C2212yescomplemented
239C4×#11719945C2212yescomplemented
240C2×C4×Dic106C2211yescharacteristic, complemented
241C2×C4×D212C2211yescharacteristic, complemented
242C2×C4×C22⋊D53C2212yescomplemented
243C2×#13133174C2212yescomplemented
244C53×#529C2211yescharacteristic
245C53×#529C2211yescharacteristic
246C53×#529C2212yescomplemented
247C53×#529C2211yescharacteristic, complemented
248C53×#529C2211yescharacteristic, complemented
249C53×#529C2212yescomplemented
250C53×#529C2211yescharacteristic, complemented
251C53×#529C2212yescomplemented
252C53×#529C2211yescharacteristic, complemented
253C53×#529C2211yescharacteristic, complemented
254C53×#529C2212yescomplemented
255C53×#529C2211yescharacteristic, complemented
256C2×#126×C53C2212yescomplemented
257C2×#125×C53C2211yescharacteristic, complemented
258C2×#124×C53C2211yescharacteristic, complemented
259C2×#123×C53C2212yescomplemented
260C2×C22⋊Q8×C53C2211yescharacteristic, complemented
261C2×#121×C53C2211yescharacteristic
262C2×C4×Q8×C53C2211yescharacteristic, complemented
263C2×C4×D4×C53C2211yescharacteristic, complemented
264C2×C4×D4×C53C2212yescomplemented
265C2×#117×C53C2212yescomplemented
266C22×C42×C53C2211yescharacteristic, complemented
267C2×#11719945C2312yes—
268C2×#11719945C2312yes—
269C2×#11719945C2312yes—
270C2×#11719945C2312yes—
271C2×#11719945C2312yes—
272C2×#11719945C2314yes—
273C2×#11719947C2314yes—
274C22×Dic106C2312yes—
275C22×Dic106C2311yescharacteristic
276C22×D212C2312yes—
277C22×D212C2311yescharacteristic
278C22×C22⋊D53C2312yes—
279C22×C22⋊D53C2314yes—
280C2×D4×D53C2314yes—
281C22×C4×D53C2312yes—
282#13133217C2312yes—
283#13133217C2312yes—
284#13133217C2312yes—
285#13133217C2311yescharacteristic
286#13133217C2311yescharacteristic
287#13133217C2311yescharacteristic
288#13133216C2314yes—
289#13133216C2314yes—
290#13133216C2314yes—
291#13133215C2314yes—
292#13133215C2314yes—
293#13133214C2312yes—
294#13133214C2311yescharacteristic
295#13133213C2314yes—
296#13133212C2314yes—
297#13133212C2314yes—
298#13133212C2314yes—
299#13133212C2314yes—
300#13133212C2314yes—
301#13133212C2314yes—
302#13133212C2314yes—
303#13133212C2314yes—
304#13133212C2314yes—
305#13133212C2314yes—
306#13133212C2314yes—
307#13133212C2314yes—
308#13133211C2314yes—
309#13133211C2314yes—
310#13133211C2314yes—
311#13133211C2314yes—
312#13133211C2314yes—
313#13133211C2314yes—
314#13133211C2314yes—
315#13133211C2314yes—
316#13133210C2314yes—
317#13133210C2314yes—
318#13133210C2314yes—
319#13133210C2314yes—
320#13133210C2314yes—
321#13133210C2314yes—
322#13133210C2314yes—
323#13133210C2314yes—
324#13133210C2314yes—
325#13133210C2314yes—
326#13133209C2312yes—
327#13133209C2314yes—
328#13133209C2312yes—
329#13133209C2312yes—
330#13133209C2312yes—
331#13133209C2312yes—
332#13133209C2312yes—
333#13133209C2312yes—
334#13133209C2312yes—
335#13133209C2312yes—
336#13133208C2314yes—
337#13133208C2314yes—
338#13133208C2314yes—
339#13133207C2314yes—
340#13133207C2314yes—
341#13133207C2314yes—
342#13133207C2314yes—
343#13133207C2314yes—
344#13133207C2314yes—
345#13133207C2314yes—
346#13133207C2314yes—
347#13133207C2314yes—
348#13133207C2314yes—
349#13133207C2314yes—
350#13133207C2314yes—
351#13133206C2314yes—
352#13133206C2314yes—
353#13133205C2312yes—
354#13133205C2312yes—
355#13133205C2312yes—
356#13133205C2312yes—
357#13133205C2312yes—
358#13133205C2314yes—
359#13133205C2312yes—
360#13133205C2312yes—
361#13133205C2312yes—
362#13133205C2312yes—
363#13133204C2314yes—
364#13133203C2314yes—
365#13133203C2314yes—
366#13133203C2314yes—
367#13133203C2314yes—
368#13133203C2314yes—
369#13133203C2314yes—
370#13133203C2314yes—
371#13133203C2314yes—
372#13133203C2314yes—
373#13133203C2314yes—
374#13133202C2314yes—
375#13133202C2314yes—
376#13133202C2314yes—
377#13133202C2314yes—
378#13133202C2314yes—
379#13133202C2314yes—
380#13133202C2314yes—
381#13133202C2314yes—
382#13133202C2314yes—
383#13133202C2314yes—
384#13133202C2314yes—
385#13133202C2314yes—
386#13133201C2314yes—
387#13133201C2314yes—
388#13133201C2314yes—
389#13133201C2314yes—
390#13133200C2314yes—
391#13133200C2314yes—
392#13133200C2314yes—
393#13133200C2314yes—
394#13133200C2314yes—
395#13133200C2314yes—
396#13133200C2314yes—
397#13133200C2314yes—
398#13133200C2314yes—
399#13133200C2314yes—
400#13133200C2314yes—
401#13133199C2314yes—
402#13133199C2314yes—
403#13133199C2314yes—
404#13133199C2314yes—
405#13133199C2314yes—
406#13133199C2314yes—
407#13133199C2314yes—
408#13133199C2314yes—
409#13133199C2314yes—
410#13133199C2314yes—
411#13133198C2314yes—
412#13133198C2314yes—
413#13133198C2314yes—
414#13133198C2314yes—
415#13133197C2314yes—
416#13133197C2314yes—
417#13133197C2314yes—
418#13133196C2314yes—
419#13133196C2312yes—
420#13133196C2312yes—
421#13133196C2312yes—
422#13133196C2312yes—
423#13133196C2312yes—
424#13133196C2312yes—
425#13133196C2312yes—
426#13133196C2312yes—
427#13133196C2314yes—
428#13133196C2314yes—
429#13133196C2312yes—
430#13133196C2312yes—
431#13133196C2312yes—
432#13133196C2312yes—
433#13133196C2312yes—
434#13133196C2312yes—
435#13133195C2314yes—
436#13133195C2314yes—
437#13133195C2314yes—
438#13133195C2314yes—
439#13133195C2314yes—
440#13133195C2314yes—
441#13133195C2314yes—
442#13133195C2314yes—
443#13133195C2314yes—
444#13133195C2314yes—
445#13133195C2314yes—
446#13133195C2314yes—
447#13133194C2314yes—
448#13133194C2314yes—
449#13133194C2314yes—
450#13133194C2314yes—
451#13133194C2314yes—
452#13133194C2314yes—
453#13133194C2314yes—
454#13133194C2314yes—
455#13133193C2314yes—
456#13133193C2314yes—
457#13133193C2314yes—
458#13133193C2314yes—
459#13133192C2314yes—
460#13133192C2314yes—
461#13133192C2314yes—
462#13133191C2312yes—
463#13133191C2312yes—
464#13133191C2312yes—
465#13133191C2312yes—
466#13133191C2314yes—
467#13133191C2312yes—
468#13133191C2312yes—
469#13133191C2314yes—
470#13133191C2312yes—
471#13133191C2312yes—
472#13133191C2314yes—
473#13133191C2312yes—
474#13133191C2312yes—
475#13133191C2312yes—
476#13133191C2312yes—
477#13133191C2312yes—
478#13133191C2312yes—
479#13133190C2314yes—
480#13133190C2314yes—
481#13133190C2314yes—
482#13133190C2314yes—
483#13133190C2314yes—
484#13133190C2314yes—
485#13133190C2314yes—
486#13133190C2314yes—
487#13133190C2314yes—
488#13133190C2314yes—
489#13133189C2314yes—
490#13133189C2314yes—
491#13133189C2314yes—
492#13133189C2314yes—
493#13133189C2314yes—
494#13133189C2314yes—
495#13133189C2314yes—
496#13133189C2314yes—
497#13133188C2314yes—
498#13133188C2314yes—
499#13133187C2314yes—
500#13133187C2314yes—
501#13133187C2314yes—
502#13133187C2314yes—
503#13133186C2314yes—
504#13133186C2314yes—
505#13133186C2314yes—
506#13133185C2314yes—
507#13133185C2314yes—
508#13133185C2314yes—
509#13133185C2314yes—
510C4×Dic106C2312yes—
511C4×Dic106C2312yes—
512C4×Dic106C2312yes—
513C4×Dic106C2312yes—
514C4×Dic106C2312yes—
515C4×Dic106C2312yes—
516C4×Dic106C2312yes—
517C4×Dic106C2314yes—
518C4×Dic106C2312yes—
519C4×Dic106C2312yes—
520C4×Dic106C2312yes—
521C4×Dic106C2312yes—
522C4×Dic106C2312yes—
523C4×Dic106C2312yes—
524C4×Dic106C2312yes—
525#13133182C2314yes—
526#13133182C2314yes—
527#13133182C2314yes—
528#13133182C2314yes—
529#13133182C2314yes—
530C4×D212C2312yes—
531C4×D212C2312yes—
532C4×D212C2312yes—
533C4×D212C2312yes—
534C4×D212C2312yes—
535C4×D212C2312yes—
536C4×D212C2314yes—
537C4×D212C2312yes—
538C4×D212C2312yes—
539C4×D212C2312yes—
540C4×D212C2312yes—
541C4×D212C2312yes—
542C4×D212C2312yes—
543C4×D212C2312yes—
544C4×D212C2312yes—
545D4×Dic53C2314yes—
546D4×Dic53C2314yes—
547#13133179C2314yes—
548#13133179C2314yes—
549#13133179C2314yes—
550#13133179C2314yes—
551#13133179C2314yes—
552C4×C22⋊D53C2314yes—
553C4×C22⋊D53C2314yes—
554C4×C22⋊D53C2314yes—
555C4×C22⋊D53C2314yes—
556C4×C22⋊D53C2314yes—
557C4×C22⋊D53C2314yes—
558C4×C22⋊D53C2314yes—
559C4×C22⋊D53C2314yes—
560C4×C22⋊D53C2314yes—
561C4×C22⋊D53C2314yes—
562C4×C22⋊D53C2314yes—
563C4×C22⋊D53C2314yes—
564C4×C22⋊D53C2314yes—
565C4×C22⋊D53C2314yes—
566C4×C22⋊D53C2314yes—
567C4×C22⋊D53C2314yes—
568#13133177C2314yes—
569#13133177C2314yes—
570#13133177C2314yes—
571#13133177C2314yes—
572#13133177C2314yes—
573#13133177C2314yes—
574#13133177C2314yes—
575#13133177C2314yes—
576#13133177C2314yes—
577#13133177C2314yes—
578#13133177C2314yes—
579#13133177C2314yes—
580#13133176C2312yes—
581#13133176C2314yes—
582#13133176C2312yes—
583#13133176C2312yes—
584#13133176C2312yes—
585#13133176C2312yes—
586#13133175C2314yes—
587#13133175C2314yes—
588#13133175C2314yes—
589#13133175C2314yes—
590#13133175C2314yes—
591#13133174C2314yes—
592#13133174C2314yes—
593#13133174C2314yes—
594#13133174C2314yes—
595#13133174C2314yes—
596#13133174C2314yes—
597#13133174C2314yes—
598#13133174C2314yes—
599#13133174C2314yes—
600#13133173C2314yes—
601#13133173C2314yes—
602#13133173C2314yes—
603#13133173C2314yes—
604#13133173C2314yes—
605#13133173C2314yes—
606C2×C4⋊Dic53C2311yescharacteristic
607C2×C4⋊Dic53C2312yes—
608C2×C4⋊Dic53C2312yes—
609C2×C4⋊Dic53C2311yescharacteristic
610C2×#11719919C2312yes—
611C2×#11719919C2314yes—
612C2×#11719919C2312yes—
613C2×#11719919C2312yes—
614C2×#11719919C2312yes—
615C4⋊C4×D53C2314yes—
616C4⋊C4×D53C2314yes—
617C4⋊C4×D53C2314yes—
618C4⋊C4×D53C2314yes—
619C4⋊C4×D53C2314yes—
620C2×C22⋊Dic53C2312yes—
621C2×C22⋊Dic53C2314yes—
622C2×#11719921C2312yes—
623C2×#11719921C2314yes—
624C2×#11719921C2312yes—
625C2×#11719921C2312yes—
626C2×#11719921C2312yes—
627C22⋊C4×D53C2314yes—
628C22⋊C4×D53C2314yes—
629C22⋊C4×D53C2314yes—
630C22⋊C4×D53C2314yes—
631C22⋊C4×D53C2314yes—
632C22⋊C4×D53C2314yes—
633C2×C4×Dic53C2312yes—
634C42×D53C2314yes—
635C22×Q8×C53C2311yescharacteristic
636C22×D4×C53C2312yes—
637C22×D4×C53C2311yescharacteristic
638C23×C4×C53C2311yescharacteristic
639C23×C4×C53C2311yescharacteristic
640C23×C4×C53C2311yescharacteristic
641C23×C4×C53C2312yes—
642#126×C53C2312yes—
643#126×C53C2312yes—
644#126×C53C2312yes—
645#126×C53C2312yes—
646#126×C53C2312yes—
647#126×C53C2312yes—
648#126×C53C2312yes—
649#126×C53C2312yes—
650#125×C53C2311yescharacteristic
651#125×C53C2311yescharacteristic
652#125×C53C2311yescharacteristic
653#125×C53C2311yescharacteristic
654#125×C53C2312yes—
655#125×C53C2312yes—
656#124×C53C2311yescharacteristic
657#124×C53C2311yescharacteristic
658#124×C53C2311yescharacteristic
659#124×C53C2311yescharacteristic
660#124×C53C2312yes—
661#124×C53C2312yes—
662#123×C53C2312yes—
663#123×C53C2312yes—
664#123×C53C2312yes—
665#123×C53C2312yes—
666#123×C53C2312yes—
667#123×C53C2312yes—
668#123×C53C2312yes—
669#123×C53C2312yes—
670C22⋊Q8×C53C2312yes—
671C22⋊Q8×C53C2311yescharacteristic
672C22⋊Q8×C53C2311yescharacteristic
673C22⋊Q8×C53C2312yes—
674C22⋊Q8×C53C2311yescharacteristic
675C22⋊Q8×C53C2311yescharacteristic
676#121×C53C2311yescharacteristic
677#121×C53C2312yes—
678#121×C53C2312yes—
679#121×C53C2311yescharacteristic
680#121×C53C2311yescharacteristic
681#121×C53C2311yescharacteristic
682C4×Q8×C53C2311yescharacteristic
683C4×Q8×C53C2311yescharacteristic
684C4×Q8×C53C2312yes—
685C4×Q8×C53C2311yescharacteristic
686C4×Q8×C53C2312yes—
687C4×Q8×C53C2311yescharacteristic
688C4×D4×C53C2311yescharacteristic
689C4×D4×C53C2312yes—
690C4×D4×C53C2312yes—
691C4×D4×C53C2312yes—
692C4×D4×C53C2311yescharacteristic
693C4×D4×C53C2312yes—
694C4×D4×C53C2312yes—
695C4×D4×C53C2311yescharacteristic
696C4×D4×C53C2312yes—
697C4×D4×C53C2312yes—
698C4×D4×C53C2311yescharacteristic
699C4×D4×C53C2312yes—
700C4×D4×C53C2312yes—
701C4×D4×C53C2312yes—
702#117×C53C2312yes—
703#117×C53C2312yes—
704#117×C53C2312yes—
705#117×C53C2312yes—
706#117×C53C2312yes—
707#117×C53C2312yes—
708#117×C53C2312yes—
709#117×C53C2312yes—
710C2×C4⋊C4×C53C2312yes—
711C2×C4⋊C4×C53C2312yes—
712C2×C4⋊C4×C53C2311yescharacteristic
713C2×C4⋊C4×C53C2312yes—
714C2×C4⋊C4×C53C2311yescharacteristic
715C2×C4⋊C4×C53C2312yes—
716C2×C22⋊C4×C53C2312yes—
717C2×C22⋊C4×C53C2312yes—
718C2×C22⋊C4×C53C2312yes—
719C2×C22⋊C4×C53C2312yes—
720C2×C22⋊C4×C53C2312yes—
721C2×C42×C53C2311yescharacteristic
722C2×C42×C53C2311yescharacteristic
723C2×C42×C53C2311yescharacteristic
724C2×C42×C53C2311yescharacteristic
725C2×C42×C53C2311yescharacteristic
726C2×C42×C53C2311yescharacteristic
727C2×C42×C53C2311yescharacteristic
728C2×C42×C53C2311yescharacteristic
729C2×C42×C53C2311yescharacteristic
730C2×C42×C53C2311yescharacteristic
731C2×C42×C53C2311yescharacteristic
732C2×C42×C53C2311yescharacteristic
733C2×C42×C53C2312yes—
734C24×C53C2411yescharacteristic
735C24×C53C2412yes—
736C23×D53C2412yes—
737C23×D53C2414yes—
738C2×Q8×C53—42no—
739C2×Q8×C53C2411yescharacteristic
740C2×Q8×C53C2412yes—
741C2×Q8×C53C2411yescharacteristic
742C2×D4×C53—42no—
743C2×D4×C53—44no—
744C2×D4×C53C2412yes—
745C2×D4×C53C2412yes—
746C2×D4×C53C2412yes—
747C2×D4×C53C2412yes—
748C2×D4×C53C2411yescharacteristic
749C2×D4×C53C2412yes—
750C2×D4×C53C2411yescharacteristic
751C22×C4×C53—42no—
752C22×C4×C53—44no—
753C22×C4×C53—42no—
754C22×C4×C53—42no—
755C22×C4×C53C2411yescharacteristic
756C22×C4×C53C2411yescharacteristic
757C22×C4×C53C2411yescharacteristic
758C22×C4×C53C2411yescharacteristic
759C22×C4×C53C2411yescharacteristic
760C22×C4×C53C2411yescharacteristic
761C22×C4×C53C2411yescharacteristic
762C22×C4×C53C2412yes—
763C22×C4×C53C2412yes—
764C22×C4×C53C2412yes—
765C22×C4×C53C2411yescharacteristic
766C22×C4×C53C2411yescharacteristic
767C22×C4×C53C2411yescharacteristic
768C22×C4×C53C2411yescharacteristic
769C22×C4×C53C2411yescharacteristic
770C22×C4×C53C2411yescharacteristic
771C22×C4×C53C2411yescharacteristic
772C22×C4×C53C2411yescharacteristic
773C22×C4×C53C2411yescharacteristic
774C22×C4×C53C2411yescharacteristic
775C22×C4×C53C2411yescharacteristic
776C22×C4×C53C2412yes—
777C22×C4×C53C2412yes—
778C22×C4×C53C2412yes—
779C22×C4×C53C2412yes—
780C2×C22⋊D53—48no—
781C2×C22⋊D53—44no—
782C2×C22⋊D53C2414yes—
783C2×C22⋊D53C2414yes—
784C2×C22⋊D53C2414yes—
785C2×C22⋊D53C2414yes—
786C2×C22⋊D53C2414yes—
787C2×C22⋊D53C2414yes—
788C2×C22⋊D53C2414yes—
789C2×C22⋊D53C2414yes—
790C2×C22⋊D53C2414yes—
791C2×C22⋊D53C2414yes—
792C2×C22⋊D53C2414yes—
793C22×Dic53C2412yes—
794C22×Dic53C2412yes—
795C22×Dic53C2412yes—
796C22×Dic53C2414yes—
797C22×Dic53C2414yes—
798C22×Dic53C2414yes—
799#11719947—48no—
800D4×D53—48no—
801#11719945—44no—
802#11719945—44no—
803#11719945—44no—
804#11719945—44no—
805#11719945—48no—
806#11719945—44no—
807C2×D212—42no—
808C2×D212—44no—
809C2×D212C2412yes—
810C2×D212C2412yes—
811C2×D212C2414yes—
812C2×D212C2414yes—
813C2×D212C2414yes—
814C2×D212C2412yes—
815C2×D212C2412yes—
816C2×D212C2412yes—
817C2×C4×D53—44no—
818C2×C4×D53C2414yes—
819C2×C4×D53C2414yes—
820C2×C4×D53C2414yes—
821C2×C4×D53C2414yes—
822C2×C4×D53C2414yes—
823C2×C4×D53C2414yes—
824C2×C4×D53C2414yes—
825C2×C4×D53C2414yes—
826C2×C4×D53C2414yes—
827C2×C4×D53C2414yes—
828C2×C4×D53C2414yes—
829C2×Dic106—42no—
830C2×Dic106—44no—
831C2×Dic106C2412yes—
832C2×Dic106C2412yes—
833C2×Dic106C2414yes—
834C2×Dic106C2414yes—
835C2×Dic106C2414yes—
836C2×Dic106C2412yes—
837C2×Dic106C2412yes—
838C2×Dic106C2412yes—
839C4⋊C4×C53C2412yes—
840C4⋊C4×C53C2412yes—
841C4⋊C4×C53C2412yes—
842C4⋊C4×C53C2412yes—
843C4⋊C4×C53C2412yes—
844C4⋊C4×C53C2412yes—
845C4⋊C4×C53C2412yes—
846C4⋊C4×C53C2412yes—
847C4⋊C4×C53C2411yescharacteristic
848C4⋊C4×C53C2412yes—
849C4⋊C4×C53C2411yescharacteristic
850C4⋊C4×C53C2412yes—
851C4⋊C4×C53C2412yes—
852C4⋊C4×C53C2412yes—
853C4⋊C4×C53C2412yes—
854C4⋊C4×C53C2411yescharacteristic
855C4⋊C4×C53C2412yes—
856C4⋊C4×C53C2411yescharacteristic
857C4⋊C4×C53C2412yes—
858C4⋊C4×C53C2412yes—
859C4⋊C4×C53C2412yes—
860C4⋊C4×C53C2412yes—
861C22⋊C4×C53C2412yes—
862C22⋊C4×C53C2412yes—
863C22⋊C4×C53C2412yes—
864C22⋊C4×C53C2412yes—
865C22⋊C4×C53C2412yes—
866C22⋊C4×C53C2412yes—
867C22⋊C4×C53C2412yes—
868C22⋊C4×C53C2412yes—
869C22⋊C4×C53C2412yes—
870C22⋊C4×C53C2412yes—
871C22⋊C4×C53C2412yes—
872C22⋊C4×C53C2412yes—
873C22⋊C4×C53C2412yes—
874C22⋊C4×C53C2412yes—
875C22⋊C4×C53C2412yes—
876C22⋊C4×C53C2412yes—
877C22⋊C4×C53C2412yes—
878C22⋊C4×C53C2412yes—
879C22⋊C4×C53C2412yes—
880C22⋊C4×C53C2412yes—
881C42×C53C2411yescharacteristic
882C42×C53C2411yescharacteristic
883C42×C53C2411yescharacteristic
884C42×C53C2411yescharacteristic
885C42×C53C2411yescharacteristic
886C42×C53C2411yescharacteristic
887C42×C53C2411yescharacteristic
888C42×C53C2411yescharacteristic
889C42×C53C2411yescharacteristic
890C42×C53C2411yescharacteristic
891C42×C53C2411yescharacteristic
892C42×C53C2411yescharacteristic
893C42×C53C2411yescharacteristic
894C42×C53C2411yescharacteristic
895C42×C53C2411yescharacteristic
896C42×C53C2411yescharacteristic
897C42×C53C2412yes—
898C42×C53C2412yes—
899C42×C53C2412yes—
900C42×C53C2412yes—
901C22⋊Dic53C2414yes—
902C22⋊Dic53C2414yes—
903C22⋊Dic53C2414yes—
904C22⋊Dic53C2414yes—
905C22⋊Dic53C2414yes—
906C22⋊Dic53C2414yes—
907C22⋊Dic53C2414yes—
908C22⋊Dic53C2414yes—
909C22⋊Dic53C2414yes—
910C22⋊Dic53C2414yes—
911C22⋊Dic53C2414yes—
912#11719921C2414yes—
913#11719921C2414yes—
914#11719921C2414yes—
915#11719921C2414yes—
916#11719921C2414yes—
917#11719921C2414yes—
918#11719921C2414yes—
919#11719921C2414yes—
920#11719921C2414yes—
921#11719921C2414yes—
922#11719921C2414yes—
923#11719921C2414yes—
924#11719921C2414yes—
925#11719921C2414yes—
926#11719921C2414yes—
927#11719921C2414yes—
928#11719921C2414yes—
929#11719921C2414yes—
930#11719921C2414yes—
931#11719921C2414yes—
932#11719921C2414yes—
933#11719921C2414yes—
934#11719921C2414yes—
935#11719921C2414yes—
936#11719921C2414yes—
937#11719921C2414yes—
938C4⋊Dic53C2414yes—
939C4⋊Dic53C2414yes—
940C4⋊Dic53C2414yes—
941C4⋊Dic53C2414yes—
942C4⋊Dic53C2412yes—
943C4⋊Dic53C2412yes—
944C4⋊Dic53C2412yes—
945C4⋊Dic53C2412yes—
946C4⋊Dic53C2412yes—
947C4⋊Dic53C2412yes—
948C4⋊Dic53C2414yes—
949C4⋊Dic53C2414yes—
950C4⋊Dic53C2412yes—
951C4⋊Dic53C2412yes—
952C4⋊Dic53C2412yes—
953C4⋊Dic53C2412yes—
954#11719919C2414yes—
955#11719919C2414yes—
956#11719919C2414yes—
957#11719919C2414yes—
958#11719919C2414yes—
959#11719919C2414yes—
960#11719919C2414yes—
961#11719919C2414yes—
962#11719919C2414yes—
963#11719919C2414yes—
964#11719919C2414yes—
965#11719919C2414yes—
966#11719919C2414yes—
967#11719919C2414yes—
968#11719919C2414yes—
969#11719919C2414yes—
970#11719919C2414yes—
971#11719919C2414yes—
972#11719919C2414yes—
973#11719919C2414yes—
974#11719919C2414yes—
975#11719919C2414yes—
976#11719919C2414yes—
977#11719919C2414yes—
978#11719919C2414yes—
979#11719919C2414yes—
980C4×Dic53C2414yes—
981C4×Dic53C2414yes—
982C4×Dic53C2414yes—
983C4×Dic53C2414yes—
984C4×Dic53C2414yes—
985C4×Dic53C2414yes—
986C4×Dic53C2414yes—
987C4×Dic53C2414yes—
988C4×Dic53C2414yes—
989C4×Dic53C2414yes—
990C4×Dic53C2414yes—
991C23×C53—22no—
992C23×C53—22no—
993C23×C53—24no—
994C23×C53—41no—
995C23×C53—42no—
996C23×C53—42no—
997C23×C53C2512yes—
998C23×C53C2512yes—
999C23×C53C2511yescharacteristic
1000C23×C53C2511yescharacteristic
1001C23×C53C2511yescharacteristic
1002C22×D53—24no—
1003C22×D53—42no—
1004C22×D53—42no—
1005C22×D53—44no—
1006C22×D53—44no—
1007C22×D53—44no—
1008C22×D53C2514yes—
1009C22×D53C2514yes—
1010Q8×C53—41no—
1011Q8×C53—42no—
1012Q8×C53—41no—
1013D4×C53—24no—
1014D4×C53—24no—
1015D4×C53—42no—
1016D4×C53—42no—
1017D4×C53—41no—
1018D4×C53—42no—
1019D4×C53—41no—
1020C2×C4×C53—22no—
1021C2×C4×C53—22no—
1022C2×C4×C53—22no—
1023C2×C4×C53—24no—
1024C2×C4×C53—22no—
1025C2×C4×C53—22no—
1026C2×C4×C53—24no—
1027C2×C4×C53—24no—
1028C2×C4×C53—22no—
1029C2×C4×C53—22no—
1030C2×C4×C53—42no—
1031C2×C4×C53—42no—
1032C2×C4×C53—41no—
1033C2×C4×C53—41no—
1034C2×C4×C53—41no—
1035C2×C4×C53—41no—
1036C2×C4×C53—41no—
1037C2×C4×C53—41no—
1038C2×C4×C53—41no—
1039C2×C4×C53—41no—
1040C2×C4×C53—41no—
1041C2×C4×C53—41no—
1042C2×C4×C53—41no—
1043C2×C4×C53—42no—
1044C2×C4×C53—42no—
1045C2×C4×C53C2512yes—
1046C2×C4×C53C2512yes—
1047C2×C4×C53C2511yescharacteristic
1048C2×C4×C53C2511yescharacteristic
1049C2×C4×C53C2511yescharacteristic
1050C2×C4×C53C2512yes—
1051C2×C4×C53C2511yescharacteristic
1052C2×C4×C53C2511yescharacteristic
1053C2×C4×C53C2511yescharacteristic
1054C2×C4×C53C2511yescharacteristic
1055C2×C4×C53C2511yescharacteristic
1056C2×C4×C53C2512yes—
1057C2×C4×C53C2512yes—
1058C2×C4×C53C2512yes—
1059C2×C4×C53C2511yescharacteristic
1060C2×C4×C53C2511yescharacteristic
1061C2×C4×C53C2511yescharacteristic
1062C2×C4×C53C2511yescharacteristic
1063C22⋊D53—28no—
1064C22⋊D53—28no—
1065C22⋊D53—28no—
1066C22⋊D53—44no—
1067C22⋊D53—44no—
1068C22⋊D53—44no—
1069C22⋊D53—44no—
1070C22⋊D53—44no—
1071C22⋊D53—44no—
1072C22⋊D53—44no—
1073C22⋊D53—44no—
1074C2×Dic53—24no—
1075C2×Dic53—42no—
1076C2×Dic53—44no—
1077C2×Dic53—44no—
1078C2×Dic53—44no—
1079C2×Dic53—42no—
1080C2×Dic53C2514yes—
1081C2×Dic53C2514yes—
1082C2×Dic53C2514yes—
1083C2×Dic53C2514yes—
1084C2×Dic53C2514yes—
1085C2×Dic53C2514yes—
1086D212—24no—
1087D212—24no—
1088D212—42no—
1089D212—44no—
1090D212—42no—
1091D212—42no—
1092D212—44no—
1093D212—44no—
1094C4×D53—44no—
1095C4×D53—44no—
1096C4×D53—44no—
1097C4×D53—44no—
1098C4×D53—44no—
1099C4×D53—44no—
1100C4×D53—44no—
1101C4×D53—44no—
1102C4×D53—44no—
1103C4×D53—44no—
1104C4×D53—44no—
1105Dic106—24no—
1106Dic106—24no—
1107Dic106—42no—
1108Dic106—44no—
1109Dic106—42no—
1110Dic106—42no—
1111Dic106—44no—
1112Dic106—44no—
1113#62828—531nomaximal, Sylow
1114C22×C53—21no—
1115C22×C53—21no—
1116C22×C53—21no—
1117C22×C53—21no—
1118C22×C53—22no—
1119C22×C53—22no—
1120C22×C53—22no—
1121C22×C53—21no—
1122C22×C53—21no—
1123C22×C53—22no—
1124C22×C53—22no—
1125C22×C53—22no—
1126C22×C53—21no—
1127C22×C53—44no—
1128C22×C53—84no—
1129C22×C53#58512yes—
1130C22×C53#58512yes—
1131C22×C53C2611yescharacteristic
1132C2×D53—24no—
1133C2×D53—24no—
1134C2×D53—24no—
1135C2×D53—24no—
1136C2×D53—24no—
1137C2×D53—24no—
1138C2×D53—84no—
1139C2×D53—164no—
1140C4×C53—22no—
1141C4×C53—22no—
1142C4×C53—21no—
1143C4×C53—21no—
1144C4×C53—21no—
1145C4×C53—22no—
1146C4×C53—21no—
1147C4×C53—21no—
1148C4×C53—21no—
1149C4×C53—21no—
1150C4×C53—21no—
1151C4×C53—22no—
1152C4×C53—22no—
1153C4×C53—22no—
1154C4×C53—21no—
1155C4×C53—21no—
1156C4×C53—21no—
1157C4×C53#58512yes—
1158Dic53—24no—
1159Dic53—24no—
1160Dic53—24no—
1161Dic53—24no—
1162Dic53—24no—
1163Dic53—24no—
1164#3568—532no—
1165#3567—532no—
1166#3566—534no—
1167#3565—532no—
1168#3563—531no—
1169#3562—532no—
1170#3561—531no—
1171#3559—531no—
1172#3558—531no—
1173#3553—532no—
1174#3545—532no—
1175#3535—532no—
1176#3534—532no—
1177#3524—532no—
1178#3521—534no—
1179#3521—532no—
1180#3521—534no—
1181#3520—532no—
1182#3519—532no—
1183#3516—532no—
1184#3513—532no—
1185#3513—534no—
1186#3507—532no—
1187#3505—532no—
1188#3495—532no—
1189#3494—532no—
1190#3493—532no—
1191#3491—532no—
1192#3444—531no—
1193C2×#529—531no—
1194C2×#529D5311yescharacteristic, complemented
1195C2×C53—22no—
1196C2×C53—22no—
1197C2×C53—42no—
1198C2×C53—41no—
1199C2×C53—42no—
1200C2×C53C2×#58511yescharacteristic
1201C2×C53C2×#58511yescharacteristic
1202C2×C53C2×#58511yescharacteristic
1203D53—44no—
1204D53—44no—
1205#564—532no—
1206#563—532no—
1207#563—532no—
1208#563—532no—
1209#563—534no—
1210#562—532no—
1211#562—532no—
1212#562—532no—
1213#562—534no—
1214#562—534no—
1215H(3,𝔽4)—532no—
1216#560—534no—
1217#559—534no—
1218#559—532no—
1219#559—532no—
1220#557—532no—
1221#557—532no—
1222#556—534no—
1223#556—534no—
1224#556—534no—
1225#556—534no—
1226#556—532no—
1227#556—532no—
1228#556—532no—
1229#556—534no—
1230#555—534no—
1231#555—532no—
1232#555—534no—
1233#554—534no—
1234#554—532no—
1235#554—532no—
1236#554—532no—
1237#554—534no—
1238#554—534no—
1239#553—534no—
1240#553—534no—
1241#553—534no—
1242#553—534no—
1243#553—534no—
1244#553—532no—
1245#553—532no—
1246#553—532no—
1247#553—532no—
1248#553—534no—
1249#553—534no—
1250#553—534no—
1251#553—534no—
1252#553—534no—
1253#552—534no—
1254#552—534no—
1255#552—534no—
1256#552—534no—
1257#552—534no—
1258#552—534no—
1259#552—534no—
1260#552—532no—
1261#552—532no—
1262#552—532no—
1263#552—532no—
1264#552—534no—
1265#552—534no—
1266#552—534no—
1267#552—534no—
1268#551—534no—
1269#551—534no—
1270#551—534no—
1271#551—534no—
1272#551—534no—
1273#551—534no—
1274#551—534no—
1275#551—534no—
1276#551—534no—
1277#551—534no—
1278#551—534no—
1279#551—534no—
1280#551—534no—
1281#551—534no—
1282#550—532no—
1283D4×Q8—532no—
1284#548—532no—
1285#548—532no—
1286#548—532no—
1287#548—532no—
1288#547—534no—
1289#547—532no—
1290#547—532no—
1291#547—534no—
1292#546—534no—
1293#546—534no—
1294#546—534no—
1295#546—532no—
1296#546—532no—
1297#546—532no—
1298#546—532no—
1299#546—534no—
1300#546—534no—
1301#546—534no—
1302#546—534no—
1303D42—534no—
1304D42—532no—
1305#544—532no—
1306#544—532no—
1307#544—532no—
1308#543—532no—
1309#542—534no—
1310#542—534no—
1311#542—534no—
1312#542—534no—
1313#542—534no—
1314#542—534no—
1315#542—532no—
1316#542—532no—
1317#542—532no—
1318#542—532no—
1319#541—534no—
1320#541—534no—
1321#541—534no—
1322#541—532no—
1323#541—532no—
1324#540—534no—
1325#540—534no—
1326#540—534no—
1327#540—532no—
1328#540—532no—
1329#539—534no—
1330#539—534no—
1331#539—534no—
1332#539—534no—
1333#539—532no—
1334#539—534no—
1335#539—532no—
1336#539—534no—
1337#539—534no—
1338#539—534no—
1339#539—534no—
1340#539—534no—
1341#538—534no—
1342#538—534no—
1343#538—534no—
1344#538—534no—
1345#538—532no—
1346#538—532no—
1347#538—534no—
1348#538—534no—
1349#538—534no—
1350#538—534no—
1351#537—532no—
1352#536—534no—
1353#536—532no—
1354#535—532no—
1355#534—534no—
1356#534—532no—
1357#533—531no—
1358#533—531no—
1359#533—531no—
1360#533—532no—
1361#532—531no—
1362#532—531no—
1363#532—531no—
1364#532—532no—
1365#529—534no—
1366#529—534no—
1367#529—534no—
1368#529—534no—
1369#529—534no—
1370#529—532no—
1371#529—532no—
1372#529—532no—
1373#529—532no—
1374#529—532no—
1375#529—532no—
1376#529—532no—
1377#529—532no—
1378#529—532no—
1379#529—532no—
1380#529—532no—
1381#529—532no—
1382#529—532no—
1383#529—532no—
1384#529—532no—
1385#529—532no—
1386#529C2×D5311yescharacteristic
1387#529C2×D5311yescharacteristic
1388#529C2×D5311yescharacteristic, complemented
1389#529C2×D5312yescomplemented
1390#529C2×D5312yescomplemented
1391#529C2×D5311yescharacteristic, complemented
1392#529C2×D5311yescharacteristic, complemented
1393#529C2×D5311yescharacteristic, complemented
1394#529C2×D5312yescomplemented
1395#529C2×D5312yescomplemented
1396#529C2×D5311yescharacteristic, complemented
1397#529C2×D5311yescharacteristic, complemented
1398C2×#126—534no—
1399C2×#126—532no—
1400C2×#126C2×D5312yescomplemented
1401C2×#125—531no—
1402C2×#125C2×D5311yescharacteristic, complemented
1403C2×#124—531no—
1404C2×#124C2×D5311yescharacteristic, complemented
1405#525—532no—
1406#525—532no—
1407#525—532no—
1408#525—532no—
1409#525—532no—
1410#525—534no—
1411C2×#123—532no—
1412C2×#123—534no—
1413C2×#123C2×D5312yescomplemented
1414C2×C22⋊Q8—531no—
1415C2×C22⋊Q8—532no—
1416C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1417C2×#121—531no—
1418C2×#121—532no—
1419C2×#121C2×D5311yescharacteristic
1420#520—534no—
1421#520—532no—
1422#520—532no—
1423#520—534no—
1424#519—532no—
1425#518—534no—
1426#518—532no—
1427#518—534no—
1428C4×#41—532no—
1429C4×#41—532no—
1430C4×#41—532no—
1431C2×C4×Q8—531no—
1432C2×C4×Q8C2×D5311yescharacteristic, complemented
1433C2×C4×D4—532no—
1434C2×C4×D4—531no—
1435C2×C4×D4C2×D5311yescharacteristic, complemented
1436C2×C4×D4C2×D5312yescomplemented
1437C2×#117—532no—
1438C2×#117C2×D5312yescomplemented
1439C22×C42C2×D5311yescharacteristic, complemented
1440C53#6282811yescharacteristic, complemented, Sylow
1441C2×#41—534no—
1442C2×#41—532no—
1443C2×#41—532no—
1444C2×#41—532no—
1445C2×#41—532no—
1446C2×#41—532no—
1447C2×#41—534no—
1448C22×Q8—531no—
1449C22×Q8—532no—
1450C22×Q8C22×D5311yescharacteristic
1451C22×D4—532no—
1452C22×D4—534no—
1453C22×D4—534no—
1454C22×D4—531no—
1455C22×D4—532no—
1456C22×D4C22×D5312yes—
1457C22×D4C22×D5311yescharacteristic
1458C23×C4—532no—
1459C23×C4C22×D5312yes—
1460C23×C4C22×D5311yescharacteristic
1461C23×C4C22×D5311yescharacteristic
1462C23×C4C22×D5311yescharacteristic
1463C4⋊Q8—534no—
1464C4⋊Q8—534no—
1465C4⋊Q8—534no—
1466C4⋊Q8—534no—
1467C4⋊Q8—534no—
1468C4⋊Q8—531no—
1469C4⋊Q8—531no—
1470C4⋊Q8—531no—
1471C4⋊Q8—532no—
1472C4⋊Q8—532no—
1473C4⋊Q8—532no—
1474#127—534no—
1475#127—531no—
1476#127—532no—
1477#126—534no—
1478#126—534no—
1479#126—534no—
1480#126—534no—
1481#126—534no—
1482#126—534no—
1483#126—534no—
1484#126—534no—
1485#126—534no—
1486#126—534no—
1487#126—534no—
1488#126—534no—
1489#126—534no—
1490#126—534no—
1491#126—534no—
1492#126—534no—
1493#126—534no—
1494#126—534no—
1495#126—534no—
1496#126—534no—
1497#126—534no—
1498#126—534no—
1499#126—534no—
1500#126—534no—
1501#126—534no—
1502#126—534no—
1503#126—534no—
1504#126—534no—
1505#126—534no—
1506#126—534no—
1507#126C22×D5312yes—
1508#126C22×D5312yes—
1509#126C22×D5312yes—
1510#126C22×D5312yes—
1511#126C22×D5312yes—
1512#126C22×D5312yes—
1513#126C22×D5312yes—
1514#126C22×D5312yes—
1515#125—534no—
1516#125—534no—
1517#125—534no—
1518#125—534no—
1519#125—534no—
1520#125—534no—
1521#125—534no—
1522#125—534no—
1523#125—534no—
1524#125—534no—
1525#125—534no—
1526#125—534no—
1527#125—534no—
1528#125—534no—
1529#125—534no—
1530#125—532no—
1531#125—532no—
1532#125—532no—
1533#125—532no—
1534#125—532no—
1535#125—532no—
1536#125—532no—
1537#125—532no—
1538#125—532no—
1539#125—534no—
1540#125C22×D5311yescharacteristic
1541#125C22×D5311yescharacteristic
1542#125C22×D5312yes—
1543#125C22×D5312yes—
1544#125C22×D5311yescharacteristic
1545#125C22×D5311yescharacteristic
1546#124—534no—
1547#124—534no—
1548#124—534no—
1549#124—534no—
1550#124—534no—
1551#124—534no—
1552#124—534no—
1553#124—534no—
1554#124—534no—
1555#124—534no—
1556#124—534no—
1557#124—534no—
1558#124—534no—
1559#124—532no—
1560#124—532no—
1561#124—532no—
1562#124—532no—
1563#124—532no—
1564#124—532no—
1565#124—532no—
1566#124—532no—
1567#124—532no—
1568#124—534no—
1569#124C22×D5311yescharacteristic
1570#124C22×D5311yescharacteristic
1571#124C22×D5312yes—
1572#124C22×D5312yes—
1573#124C22×D5311yescharacteristic
1574#124C22×D5311yescharacteristic
1575#123—534no—
1576#123—534no—
1577#123—534no—
1578#123—534no—
1579#123—534no—
1580#123—534no—
1581#123—534no—
1582#123—534no—
1583#123—534no—
1584#123—534no—
1585#123—534no—
1586#123—534no—
1587#123—534no—
1588#123—534no—
1589#123—534no—
1590#123—534no—
1591#123—534no—
1592#123—534no—
1593#123—534no—
1594#123—534no—
1595#123—534no—
1596#123—534no—
1597#123—534no—
1598#123—534no—
1599#123—534no—
1600#123—534no—
1601#123—534no—
1602#123—534no—
1603#123—534no—
1604#123—534no—
1605#123—534no—
1606#123—534no—
1607#123—534no—
1608#123—534no—
1609#123—534no—
1610#123—534no—
1611#123—534no—
1612#123—534no—
1613#123—534no—
1614#123—534no—
1615#123—534no—
1616#123C22×D5312yes—
1617#123C22×D5312yes—
1618#123C22×D5312yes—
1619#123C22×D5312yes—
1620#123C22×D5312yes—
1621#123C22×D5312yes—
1622#123C22×D5312yes—
1623#123C22×D5312yes—
1624C22⋊Q8—534no—
1625C22⋊Q8—534no—
1626C22⋊Q8—534no—
1627C22⋊Q8—534no—
1628C22⋊Q8—532no—
1629C22⋊Q8—532no—
1630C22⋊Q8—532no—
1631C22⋊Q8—532no—
1632C22⋊Q8—532no—
1633C22⋊Q8—534no—
1634C22⋊Q8—534no—
1635C22⋊Q8—532no—
1636C22⋊Q8—532no—
1637C22⋊Q8—532no—
1638C22⋊Q8—532no—
1639C22⋊Q8—532no—
1640C22⋊Q8—532no—
1641C22⋊Q8—532no—
1642C22⋊Q8—532no—
1643C22⋊Q8—532no—
1644C22⋊Q8—534no—
1645C22⋊Q8—534no—
1646C22⋊Q8—534no—
1647C22⋊Q8—534no—
1648C22⋊Q8—534no—
1649C22⋊Q8—534no—
1650C22⋊Q8—534no—
1651C22⋊Q8—534no—
1652C22⋊Q8—534no—
1653C22⋊Q8—534no—
1654C22⋊Q8—534no—
1655C22⋊Q8—534no—
1656C22⋊Q8—534no—
1657C22⋊Q8—534no—
1658C22⋊Q8—534no—
1659C22⋊Q8—534no—
1660C22⋊Q8—534no—
1661C22⋊Q8—534no—
1662C22⋊Q8—534no—
1663C22⋊Q8—534no—
1664C22⋊Q8—534no—
1665C22⋊Q8—534no—
1666C22⋊Q8—534no—
1667C22⋊Q8—534no—
1668C22⋊Q8C22×D5311yescharacteristic
1669C22⋊Q8C22×D5311yescharacteristic
1670C22⋊Q8C22×D5311yescharacteristic
1671C22⋊Q8C22×D5311yescharacteristic
1672C22⋊Q8C22×D5312yes—
1673C22⋊Q8C22×D5312yes—
1674#121—534no—
1675#121—534no—
1676#121—534no—
1677#121—534no—
1678#121—534no—
1679#121—534no—
1680#121—534no—
1681#121—534no—
1682#121—534no—
1683#121—534no—
1684#121—532no—
1685#121—532no—
1686#121—532no—
1687#121—532no—
1688#121—532no—
1689#121—534no—
1690#121—534no—
1691#121—532no—
1692#121—532no—
1693#121—532no—
1694#121—532no—
1695#121—532no—
1696#121—532no—
1697#121—532no—
1698#121—532no—
1699#121—532no—
1700#121—534no—
1701#121—534no—
1702#121—534no—
1703#121—534no—
1704#121—534no—
1705#121—534no—
1706#121—534no—
1707#121—534no—
1708#121—534no—
1709#121—534no—
1710#121—534no—
1711#121—534no—
1712#121—534no—
1713#121—534no—
1714#121C22×D5311yescharacteristic
1715#121C22×D5311yescharacteristic
1716#121C22×D5311yescharacteristic
1717#121C22×D5311yescharacteristic
1718#121C22×D5312yes—
1719#121C22×D5312yes—
1720#120—534no—
1721#120—534no—
1722#120—534no—
1723#120—534no—
1724#120—534no—
1725#120—534no—
1726#120—534no—
1727#120—534no—
1728#120—534no—
1729#120—534no—
1730#120—534no—
1731C4×Q8—534no—
1732C4×Q8—534no—
1733C4×Q8—534no—
1734C4×Q8—534no—
1735C4×Q8—534no—
1736C4×Q8—532no—
1737C4×Q8—532no—
1738C4×Q8—532no—
1739C4×Q8—532no—
1740C4×Q8—532no—
1741C4×Q8—532no—
1742C4×Q8—532no—
1743C4×Q8—532no—
1744C4×Q8—532no—
1745C4×Q8—532no—
1746C4×Q8—532no—
1747C4×Q8—532no—
1748C4×Q8—532no—
1749C4×Q8—532no—
1750C4×Q8—534no—
1751C4×Q8C22×D5311yescharacteristic
1752C4×Q8C22×D5311yescharacteristic
1753C4×Q8C22×D5312yes—
1754C4×Q8C22×D5311yescharacteristic
1755C4×Q8C22×D5312yes—
1756C4×Q8C22×D5311yescharacteristic
1757C4×D4—534no—
1758C4×D4—534no—
1759C4×D4—534no—
1760C4×D4—534no—
1761C4×D4—534no—
1762C4×D4—534no—
1763C4×D4—534no—
1764C4×D4—534no—
1765C4×D4—534no—
1766C4×D4—534no—
1767C4×D4—534no—
1768C4×D4—534no—
1769C4×D4—534no—
1770C4×D4—534no—
1771C4×D4—534no—
1772C4×D4—534no—
1773C4×D4—534no—
1774C4×D4—534no—
1775C4×D4—534no—
1776C4×D4—534no—
1777C4×D4—534no—
1778C4×D4—534no—
1779C4×D4—534no—
1780C4×D4—534no—
1781C4×D4—534no—
1782C4×D4—534no—
1783C4×D4—534no—
1784C4×D4—534no—
1785C4×D4—534no—
1786C4×D4—534no—
1787C4×D4—534no—
1788C4×D4—534no—
1789C4×D4—534no—
1790C4×D4—534no—
1791C4×D4—534no—
1792C4×D4—532no—
1793C4×D4—532no—
1794C4×D4—532no—
1795C4×D4—532no—
1796C4×D4—532no—
1797C4×D4—532no—
1798C4×D4—532no—
1799C4×D4—532no—
1800C4×D4—532no—
1801C4×D4—532no—
1802C4×D4—532no—
1803C4×D4—534no—
1804C4×D4—532no—
1805C4×D4—532no—
1806C4×D4—532no—
1807C4×D4C22×D5312yes—
1808C4×D4C22×D5312yes—
1809C4×D4C22×D5312yes—
1810C4×D4C22×D5311yescharacteristic
1811C4×D4C22×D5311yescharacteristic
1812C4×D4C22×D5312yes—
1813C4×D4C22×D5312yes—
1814C4×D4C22×D5312yes—
1815C4×D4C22×D5312yes—
1816C4×D4C22×D5312yes—
1817C4×D4C22×D5311yescharacteristic
1818C4×D4C22×D5312yes—
1819C4×D4C22×D5312yes—
1820C4×D4C22×D5311yescharacteristic
1821#117—532no—
1822#117—532no—
1823#117—532no—
1824#117—532no—
1825#117—532no—
1826#117—534no—
1827#117—534no—
1828#117—534no—
1829#117—534no—
1830#117—534no—
1831#117—534no—
1832#117—534no—
1833#117—534no—
1834#117—534no—
1835#117—534no—
1836#117—534no—
1837#117—534no—
1838#117—534no—
1839#117—534no—
1840#117—534no—
1841#117—534no—
1842#117—534no—
1843#117—534no—
1844#117—534no—
1845#117—534no—
1846#117—534no—
1847#117C22×D5312yes—
1848#117C22×D5312yes—
1849#117C22×D5312yes—
1850#117C22×D5312yes—
1851#117C22×D5312yes—
1852#117C22×D5312yes—
1853#117C22×D5312yes—
1854#117C22×D5312yes—
1855C2×C4⋊C4—532no—
1856C2×C4⋊C4—532no—
1857C2×C4⋊C4—531no—
1858C2×C4⋊C4—532no—
1859C2×C4⋊C4—531no—
1860C2×C4⋊C4—532no—
1861C2×C4⋊C4—532no—
1862C2×C4⋊C4—534no—
1863C2×C4⋊C4—532no—
1864C2×C4⋊C4—534no—
1865C2×C4⋊C4—534no—
1866C2×C4⋊C4—534no—
1867C2×C4⋊C4—534no—
1868C2×C4⋊C4—534no—
1869C2×C4⋊C4C22×D5312yes—
1870C2×C4⋊C4C22×D5312yes—
1871C2×C4⋊C4C22×D5311yescharacteristic
1872C2×C4⋊C4C22×D5312yes—
1873C2×C4⋊C4C22×D5312yes—
1874C2×C4⋊C4C22×D5311yescharacteristic
1875C2×C22⋊C4—532no—
1876C2×C22⋊C4—534no—
1877C2×C22⋊C4—532no—
1878C2×C22⋊C4—532no—
1879C2×C22⋊C4—532no—
1880C2×C22⋊C4—532no—
1881C2×C22⋊C4—534no—
1882C2×C22⋊C4—534no—
1883C2×C22⋊C4—534no—
1884C2×C22⋊C4—534no—
1885C2×C22⋊C4—534no—
1886C2×C22⋊C4—534no—
1887C2×C22⋊C4—534no—
1888C2×C22⋊C4C22×D5312yes—
1889C2×C22⋊C4C22×D5312yes—
1890C2×C22⋊C4C22×D5312yes—
1891C2×C22⋊C4C22×D5312yes—
1892C2×C22⋊C4C22×D5312yes—
1893C2×C42—532no—
1894C2×C42—534no—
1895C2×C42C22×D5311yescharacteristic
1896C2×C42C22×D5311yescharacteristic
1897C2×C42C22×D5312yes—
1898C2×C42C22×D5311yescharacteristic
1899C2×C42C22×D5311yescharacteristic
1900C2×C42C22×D5311yescharacteristic
1901C2×C42C22×D5311yescharacteristic
1902C2×C42C22×D5311yescharacteristic
1903C2×C42C22×D5311yescharacteristic
1904C2×C42C22×D5311yescharacteristic
1905C2×C42C22×D5311yescharacteristic
1906C2×C42C22×D5311yescharacteristic
1907C2×C42C22×D5311yescharacteristic
1908C24—532no—
1909C24—534no—
1910C24C23×D5311yescharacteristic
1911C24C23×D5312yes—
1912#41—2124no—
1913#41—2124no—
1914#41—2128no—
1915#41—2124no—
1916#41—2124no—
1917#41—2124no—
1918#41—2128no—
1919C2×Q8—42no—
1920C2×Q8—532no—
1921C2×Q8—532no—
1922C2×Q8—534no—
1923C2×Q8—534no—
1924C2×Q8—532no—
1925C2×Q8—532no—
1926C2×Q8—532no—
1927C2×Q8—534no—
1928C2×Q8—2122no—
1929C2×Q8—2124no—
1930C2×Q8C23×D5311yescharacteristic
1931C2×Q8C23×D5312yes—
1932C2×Q8C23×D5311yescharacteristic
1933C2×D4—42no—
1934C2×D4—44no—
1935C2×D4—534no—
1936C2×D4—534no—
1937C2×D4—534no—
1938C2×D4—534no—
1939C2×D4—534no—
1940C2×D4—534no—
1941C2×D4—534no—
1942C2×D4—534no—
1943C2×D4—534no—
1944C2×D4—534no—
1945C2×D4—534no—
1946C2×D4—532no—
1947C2×D4—532no—
1948C2×D4—534no—
1949C2×D4—532no—
1950C2×D4—532no—
1951C2×D4—532no—
1952C2×D4—534no—
1953C2×D4—534no—
1954C2×D4—2122no—
1955C2×D4—2124no—
1956C2×D4—2128no—
1957C2×D4—2124no—
1958C2×D4—2128no—
1959C2×D4C23×D5312yes—
1960C2×D4C23×D5312yes—
1961C2×D4C23×D5311yescharacteristic
1962C2×D4C23×D5312yes—
1963C2×D4C23×D5312yes—
1964C2×D4C23×D5311yescharacteristic
1965C2×D4C23×D5312yes—
1966C22×C4—42no—
1967C22×C4—44no—
1968C22×C4—42no—
1969C22×C4—42no—
1970C22×C4—532no—
1971C22×C4—532no—
1972C22×C4—532no—
1973C22×C4—534no—
1974C22×C4—534no—
1975C22×C4—534no—
1976C22×C4—534no—
1977C22×C4—534no—
1978C22×C4—534no—
1979C22×C4—534no—
1980C22×C4—534no—
1981C22×C4—534no—
1982C22×C4—534no—
1983C22×C4—534no—
1984C22×C4—534no—
1985C22×C4—534no—
1986C22×C4—534no—
1987C22×C4—2124no—
1988C22×C4C23×D5311yescharacteristic
1989C22×C4C23×D5311yescharacteristic
1990C22×C4C23×D5311yescharacteristic
1991C22×C4C23×D5311yescharacteristic
1992C22×C4C23×D5311yescharacteristic
1993C22×C4C23×D5311yescharacteristic
1994C22×C4C23×D5311yescharacteristic
1995C22×C4C23×D5312yes—
1996C22×C4C23×D5312yes—
1997C22×C4C23×D5312yes—
1998C22×C4C23×D5311yescharacteristic
1999C22×C4C23×D5311yescharacteristic
2000C22×C4C23×D5311yescharacteristic
2001C22×C4C23×D5311yescharacteristic
2002C22×C4C23×D5311yescharacteristic
2003C22×C4C23×D5311yescharacteristic
2004C22×C4C23×D5311yescharacteristic
2005C22×C4C23×D5311yescharacteristic
2006C22×C4C23×D5311yescharacteristic
2007C22×C4C23×D5311yescharacteristic
2008C22×C4C23×D5311yescharacteristic
2009C22×C4C23×D5312yes—
2010C22×C4C23×D5312yes—
2011C22×C4C23×D5312yes—
2012C22×C4C23×D5312yes—
2013C4⋊C4—534no—
2014C4⋊C4—534no—
2015C4⋊C4—532no—
2016C4⋊C4—534no—
2017C4⋊C4—532no—
2018C4⋊C4—534no—
2019C4⋊C4—534no—
2020C4⋊C4—534no—
2021C4⋊C4—534no—
2022C4⋊C4—534no—
2023C4⋊C4—532no—
2024C4⋊C4—532no—
2025C4⋊C4—534no—
2026C4⋊C4—534no—
2027C4⋊C4—534no—
2028C4⋊C4—534no—
2029C4⋊C4—534no—
2030C4⋊C4—534no—
2031C4⋊C4—532no—
2032C4⋊C4—534no—
2033C4⋊C4—534no—
2034C4⋊C4—534no—
2035C4⋊C4—534no—
2036C4⋊C4—534no—
2037C4⋊C4—534no—
2038C4⋊C4—532no—
2039C4⋊C4—534no—
2040C4⋊C4—534no—
2041C4⋊C4—534no—
2042C4⋊C4—534no—
2043C4⋊C4—534no—
2044C4⋊C4—534no—
2045C4⋊C4—534no—
2046C4⋊C4—534no—
2047C4⋊C4—534no—
2048C4⋊C4—534no—
2049C4⋊C4—532no—
2050C4⋊C4—532no—
2051C4⋊C4—532no—
2052C4⋊C4—532no—
2053C4⋊C4—534no—
2054C4⋊C4—534no—
2055C4⋊C4C23×D5312yes—
2056C4⋊C4C23×D5312yes—
2057C4⋊C4C23×D5312yes—
2058C4⋊C4C23×D5312yes—
2059C4⋊C4C23×D5312yes—
2060C4⋊C4C23×D5312yes—
2061C4⋊C4C23×D5312yes—
2062C4⋊C4C23×D5312yes—
2063C4⋊C4C23×D5312yes—
2064C4⋊C4C23×D5312yes—
2065C4⋊C4C23×D5312yes—
2066C4⋊C4C23×D5312yes—
2067C4⋊C4C23×D5312yes—
2068C4⋊C4C23×D5312yes—
2069C4⋊C4C23×D5312yes—
2070C4⋊C4C23×D5311yescharacteristic
2071C4⋊C4C23×D5312yes—
2072C4⋊C4C23×D5312yes—
2073C4⋊C4C23×D5311yescharacteristic
2074C4⋊C4C23×D5311yescharacteristic
2075C4⋊C4C23×D5312yes—
2076C4⋊C4C23×D5311yescharacteristic
2077C22⋊C4—534no—
2078C22⋊C4—534no—
2079C22⋊C4—534no—
2080C22⋊C4—534no—
2081C22⋊C4—534no—
2082C22⋊C4—534no—
2083C22⋊C4—534no—
2084C22⋊C4—534no—
2085C22⋊C4—534no—
2086C22⋊C4—534no—
2087C22⋊C4—534no—
2088C22⋊C4—534no—
2089C22⋊C4—534no—
2090C22⋊C4—534no—
2091C22⋊C4—534no—
2092C22⋊C4—534no—
2093C22⋊C4—534no—
2094C22⋊C4—534no—
2095C22⋊C4—534no—
2096C22⋊C4—534no—
2097C22⋊C4—534no—
2098C22⋊C4—534no—
2099C22⋊C4—534no—
2100C22⋊C4—534no—
2101C22⋊C4—534no—
2102C22⋊C4—534no—
2103C22⋊C4—534no—
2104C22⋊C4—534no—
2105C22⋊C4—534no—
2106C22⋊C4—534no—
2107C22⋊C4—534no—
2108C22⋊C4—534no—
2109C22⋊C4—534no—
2110C22⋊C4—534no—
2111C22⋊C4—534no—
2112C22⋊C4—534no—
2113C22⋊C4—534no—
2114C22⋊C4C23×D5312yes—
2115C22⋊C4C23×D5312yes—
2116C22⋊C4C23×D5312yes—
2117C22⋊C4C23×D5312yes—
2118C22⋊C4C23×D5312yes—
2119C22⋊C4C23×D5312yes—
2120C22⋊C4C23×D5312yes—
2121C22⋊C4C23×D5312yes—
2122C22⋊C4C23×D5312yes—
2123C22⋊C4C23×D5312yes—
2124C22⋊C4C23×D5312yes—
2125C22⋊C4C23×D5312yes—
2126C22⋊C4C23×D5312yes—
2127C22⋊C4C23×D5312yes—
2128C22⋊C4C23×D5312yes—
2129C22⋊C4C23×D5312yes—
2130C22⋊C4C23×D5312yes—
2131C22⋊C4C23×D5312yes—
2132C22⋊C4C23×D5312yes—
2133C22⋊C4C23×D5312yes—
2134C42—534no—
2135C42—534no—
2136C42—534no—
2137C42—534no—
2138C42—534no—
2139C42—534no—
2140C42—534no—
2141C42—534no—
2142C42—534no—
2143C42—534no—
2144C42—534no—
2145C42C23×D5311yescharacteristic
2146C42C23×D5311yescharacteristic
2147C42C23×D5311yescharacteristic
2148C42C23×D5311yescharacteristic
2149C42C23×D5311yescharacteristic
2150C42C23×D5311yescharacteristic
2151C42C23×D5311yescharacteristic
2152C42C23×D5311yescharacteristic
2153C42C23×D5311yescharacteristic
2154C42C23×D5311yescharacteristic
2155C42C23×D5311yescharacteristic
2156C42C23×D5311yescharacteristic
2157C42C23×D5311yescharacteristic
2158C42C23×D5311yescharacteristic
2159C42C23×D5311yescharacteristic
2160C42C23×D5311yescharacteristic
2161C42C23×D5312yes—
2162C42C23×D5312yes—
2163C42C23×D5312yes—
2164C42C23×D5312yes—
2165C23—22no—
2166C23—22no—
2167C23—24no—
2168C23—41no—
2169C23—42no—
2170C23—42no—
2171C23—534no—
2172C23—534no—
2173C23—1064no—
2174C23—2124no—
2175C23—2124no—
2176C23—2124no—
2177C23—2122no—
2178C23—2122no—
2179C23C24×D5312yes—
2180C23C24×D5311yescharacteristic
2181C23C24×D5312yes—
2182C23C24×D5311yescharacteristic
2183C23C24×D5311yescharacteristic
2184Q8—41no—
2185Q8—42no—
2186Q8—41no—
2187Q8—1064no—
2188Q8—1064no—
2189Q8—2124no—
2190Q8—2122no—
2191Q8—2122no—
2192Q8—2122no—
2193Q8—2124no—
2194Q8—2124no—
2195D4—24no—
2196D4—24no—
2197D4—41no—
2198D4—42no—
2199D4—41no—
2200D4—42no—
2201D4—42no—
2202D4—1068no—
2203D4—1068no—
2204D4—1068no—
2205D4—1064no—
2206D4—1064no—
2207D4—2124no—
2208D4—2122no—
2209D4—2124no—
2210D4—2122no—
2211D4—2122no—
2212D4—2124no—
2213D4—2124no—
2214D4—2124no—
2215D4—2124no—
2216D4—2124no—
2217D4—2124no—
2218D4—2124no—
2219D4—2124no—
2220D4—2124no—
2221C2×C4—22no—
2222C2×C4—22no—
2223C2×C4—22no—
2224C2×C4—22no—
2225C2×C4—24no—
2226C2×C4—22no—
2227C2×C4—22no—
2228C2×C4—24no—
2229C2×C4—24no—
2230C2×C4—22no—
2231C2×C4—41no—
2232C2×C4—42no—
2233C2×C4—42no—
2234C2×C4—41no—
2235C2×C4—41no—
2236C2×C4—41no—
2237C2×C4—41no—
2238C2×C4—41no—
2239C2×C4—41no—
2240C2×C4—41no—
2241C2×C4—41no—
2242C2×C4—42no—
2243C2×C4—41no—
2244C2×C4—41no—
2245C2×C4—42no—
2246C2×C4—534no—
2247C2×C4—534no—
2248C2×C4—534no—
2249C2×C4—534no—
2250C2×C4—534no—
2251C2×C4—534no—
2252C2×C4—1064no—
2253C2×C4—2124no—
2254C2×C4—2124no—
2255C2×C4—2124no—
2256C2×C4—2124no—
2257C2×C4—2124no—
2258C2×C4—2124no—
2259C2×C4—2124no—
2260C2×C4—2124no—
2261C2×C4—2124no—
2262C2×C4—2124no—
2263C2×C4—2124no—
2264C2×C4—2122no—
2265C2×C4—2124no—
2266C2×C4—2124no—
2267C2×C4—2122no—
2268C2×C4—2124no—
2269C2×C4C24×D5311yescharacteristic
2270C2×C4C24×D5311yescharacteristic
2271C2×C4C24×D5311yescharacteristic
2272C2×C4C24×D5311yescharacteristic
2273C2×C4C24×D5311yescharacteristic
2274C2×C4C24×D5312yes—
2275C2×C4C24×D5312yes—
2276C2×C4C24×D5312yes—
2277C2×C4C24×D5312yes—
2278C2×C4C24×D5312yes—
2279C2×C4C24×D5311yescharacteristic
2280C2×C4C24×D5311yescharacteristic
2281C2×C4C24×D5311yescharacteristic
2282C2×C4C24×D5311yescharacteristic
2283C2×C4C24×D5311yescharacteristic
2284C2×C4C24×D5311yescharacteristic
2285C2×C4C24×D5312yes—
2286C2×C4C24×D5311yescharacteristic
2287C22—21no—
2288C22—21no—
2289C22—21no—
2290C22—21no—
2291C22—22no—
2292C22—21no—
2293C22—22no—
2294C22—21no—
2295C22—21no—
2296C22—22no—
2297C22—22no—
2298C22—22no—
2299C22—22no—
2300C22—44no—
2301C22—84no—
2302C22—8484no—
2303C22—1064no—
2304C22—1064no—
2305C22—1064no—
2306C22—1064no—
2307C22—1064no—
2308C22—1064no—
2309C22—4244no—
2310C22#1681145912yes—
2311C22#1681145912yes—
2312C22C25×D5311yescharacteristic
2313C4—21no—
2314C4—21no—
2315C4—21no—
2316C4—21no—
2317C4—21no—
2318C4—21no—
2319C4—22no—
2320C4—22no—
2321C4—21no—
2322C4—21no—
2323C4—21no—
2324C4—21no—
2325C4—21no—
2326C4—22no—
2327C4—22no—
2328C4—22no—
2329C4—22no—
2330C4—1064no—
2331C4—1064no—
2332C4—1064no—
2333C4—1064no—
2334C4—1064no—
2335C4—1064no—
2336C4#1681145912yes—
2337C2—22no—
2338C2—22no—
2339C2—41no—
2340C2—42no—
2341C2—42no—
2342C2—2124no—
2343C2—2124no—
2344C2C2×#1681145911yescharacteristic
2345C2C2×#1681145911yescharacteristic
2346C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC2×C53×#529C2
hypercenterC2×#529D53
hypocenterC53#62828
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #20289411C2semidirect
2. #20289403C2semidirect
3. #20289383C2semidirect
4. #20289360C2semidirect
5. #20289318C2semidirect
6. #20289303C2semidirect
7. #20289285C2semidirect
8. #20289246C2semidirect
9. #20289231C2semidirect
10. #20289171C2semidirect
11. #20289072C2semidirect
12. #20288924C2semidirect
13. #20288905C2semidirect
14. #20288820C2semidirect
15. #20288787C2semidirect
16. #20288775C2semidirect
17. #20288769C2semidirect
18. #20288764C2semidirect
19. #20288747C2semidirect
20. #20288704C2semidirect
21. #20288659C2semidirect
22. #20288647C2semidirect
23. #20288580C2semidirect
24. #20288554C2semidirect
25. #20288467C2semidirect
26. #20288450C2semidirect
27. #20288427C2semidirect
28. #20288407C2semidirect
29. #20288011C2semidirect
30. C2×#16811157C2semidirect
31. C2×C53×#529C2semidirect
32. C53⋊#564C22semidirect
33. #16811377C22semidirect
34. #16811377C22semidirect
35. #16811374C22semidirect
36. #16811373C22semidirect
37. #16811371C22semidirect
38. #16811369C22semidirect
39. #16811368C22semidirect
40. #16811367C22semidirect
41. #16811367C22semidirect
42. #16811365C22semidirect
43. #16811361C22semidirect
44. #16811358C22semidirect
45. #16811358C22semidirect
46. #16811357C22semidirect
47. #16811351C22semidirect
48. #16811351C22semidirect
49. #16811346C22semidirect
50. #16811346C22semidirect
51. #16811345C22semidirect
52. #16811345C22semidirect
53. #16811343C22semidirect
54. #16811341C22semidirect
55. #16811340C22semidirect
56. #16811340C22semidirect
57. #16811338C22semidirect
58. #16811336C22semidirect
59. #16811335C22semidirect
60. #16811333C22semidirect
61. #16811333C22semidirect
62. #16811330C22semidirect
63. #16811328C22semidirect
64. #16811328C22semidirect
65. #16811327C22semidirect
66. #16811324C22semidirect
67. #16811324C22semidirect
68. #16811322C22semidirect
69. #16811322C22semidirect
70. #16811321C22semidirect
71. #16811321C22semidirect
72. #16811319C22semidirect
73. #16811319C22semidirect
74. #16811319C22semidirect
75. #16811319C22semidirect
76. #16811318C22semidirect
77. #16811318C22semidirect
78. #16811317C22semidirect
79. #16811316C22semidirect
80. #16811314C22semidirect
81. #16811314C22semidirect
82. #16811313C22semidirect
83. #16811313C22semidirect
84. #16811313C22semidirect
85. #16811313C22semidirect
86. #16811312C22semidirect
87. #16811310C22semidirect
88. #16811309C22semidirect
89. #16811309C22semidirect
90. #16811308C22semidirect
91. #16811306C22semidirect
92. #16811306C22semidirect
93. #16811305C22semidirect
94. #16811305C22semidirect
95. #16811303C22semidirect
96. #16811302C22semidirect
97. #16811302C22semidirect
98. #16811301C22semidirect
99. #16811300C22semidirect
100. #16811299C22semidirect
101. #16811299C22semidirect
102. #16811299C22semidirect
103. #16811299C22semidirect
104. #16811298C22semidirect
105. #16811298C22semidirect
106. #16811297C22semidirect
107. #16811297C22semidirect
108. #16811296C22semidirect
109. #16811294C22semidirect
110. D4×Dic106C22semidirect
111. #16811282C22semidirect
112. #16811282C22semidirect
113. #16811282C22semidirect
114. #16811282C22semidirect
115. #16811278C22semidirect
116. #16811277C22semidirect
117. #16811274C22semidirect
118. #16811271C22semidirect
119. #16811269C22semidirect
120. #16811269C22semidirect
121. #16811269C22semidirect
122. #16811269C22semidirect
123. #16811267C22semidirect
124. #16811265C22semidirect
125. #16811263C22semidirect
126. #16811263C22semidirect
127. #16811263C22semidirect
128. #16811263C22semidirect
129. #16811262C22semidirect
130. D4×D212C22semidirect
131. D4×C22⋊D53C22semidirect
132. #16811252C22semidirect
133. #16811251C22semidirect
134. #16811251C22semidirect
135. #16811248C22semidirect
136. #16811244C22semidirect
137. #16811244C22semidirect
138. #16811244C22semidirect
139. #16811244C22semidirect
140. #16811243C22semidirect
141. #16811241C22semidirect
142. #16811239C22semidirect
143. #16811238C22semidirect
144. #16811237C22semidirect
145. #16811237C22semidirect
146. #16811235C22semidirect
147. #16811235C22semidirect
148. #16811232C22semidirect
149. #16811232C22semidirect
150. #16811230C22semidirect
151. #16811228C22semidirect
152. #16811228C22semidirect
153. #16811225C22semidirect
154. #16811224C22semidirect
155. #16811223C22semidirect
156. #16811222C22semidirect
157. #16811221C22semidirect
158. #16811221C22semidirect
159. #16811220C22semidirect
160. #16811220C22semidirect
161. #16811220C22semidirect
162. #16811219C22semidirect
164. #16811216C22semidirect
165. #16811215C22semidirect
166. #16811215C22semidirect
167. #16811214C22semidirect
168. #16811213C22semidirect
169. #16811212C22semidirect
170. #16811211C22semidirect
171. #16811210C22semidirect
172. #16811209C22semidirect
173. #16811207C22semidirect
174. #16811207C22semidirect
175. #16811206C22semidirect
176. #16811206C22semidirect
177. #16811205C22semidirect
178. #16811200C22semidirect
179. #16811199C22semidirect
180. #16811197C22semidirect
181. #16811192C22semidirect
182. #16811182C22semidirect
184. #16811180C22semidirect
185. #16811180C22semidirect
186. #16811180C22semidirect
187. #16811180C22semidirect
189. #16811173C22semidirect
190. #16811173C22semidirect
191. #16811173C22semidirect
192. #16811157C22semidirect
193. #16811157C22semidirect
194. #16811157C22semidirect
195. #16811157C22semidirect
196. #16811157C22semidirect
197. #16811157C22semidirect
198. #16811157C22semidirect
199. #16811157C22semidirect
200. #16811157C22semidirect
201. #16811157C22semidirect
202. #16811157C22semidirect
203. #16811157C22semidirect
204. #16811157C22semidirect
205. #16811157C22semidirect
206. #16811157C22semidirect
207. #16811157C22semidirect
208. #16811156C22semidirect
209. #16811156C22semidirect
210. #16811156C22semidirect
211. #16811150C22semidirect
212. #16811150C22semidirect
213. C2×#13133211C22semidirect
214. #126×D53C22semidirect
215. C2×#13133209C22semidirect
216. C2×#13133205C22semidirect
218. #16811134C22semidirect
219. #16811134C22semidirect
220. #16811134C22semidirect
221. #16811134C22semidirect
222. #16811131C22semidirect
223. C2×#13133200C22semidirect
224. #123×D53C22semidirect
225. C2×#13133196C22semidirect
226. C2×#13133196C22semidirect
228. C2×#13133191C22semidirect
229. #16811104C22semidirect
230. #16811103C22semidirect
231. #16811103C22semidirect
232. #16811102C22semidirect
233. #16811100C22semidirect
234. #16811097C22semidirect
235. #16811096C22semidirect
236. #16811095C22semidirect
237. C4×#11719945C22semidirect
238. C4×#11719945C22semidirect
239. C4×#11719945C22semidirect
240. C2×C4×Dic106C22semidirect
241. C2×C4×D212C22semidirect
242. C2×C4×C22⋊D53C22semidirect
243. C2×#13133174C22semidirect
246. C53×#529C22semidirect
247. C53×#529C22semidirect
248. C53×#529C22semidirect
249. C53×#529C22semidirect
250. C53×#529C22semidirect
251. C53×#529C22semidirect
252. C53×#529C22semidirect
253. C53×#529C22semidirect
254. C53×#529C22semidirect
255. C53×#529C22semidirect
256. C2×#126×C53C22semidirect
257. C2×#125×C53C22semidirect
258. C2×#124×C53C22semidirect
259. C2×#123×C53C22semidirect
260. C2×C22⋊Q8×C53C22semidirect
262. C2×C4×Q8×C53C22semidirect
263. C2×C4×D4×C53C22semidirect
264. C2×C4×D4×C53C22semidirect
265. C2×#117×C53C22semidirect
266. C22×C42×C53C22semidirect
1194. C2×#529D53semidirect
1388. #529C2×D53semidirect
1389. #529C2×D53semidirect
1390. #529C2×D53semidirect
1391. #529C2×D53semidirect
1392. #529C2×D53semidirect
1393. #529C2×D53semidirect
1394. #529C2×D53semidirect
1395. #529C2×D53semidirect
1396. #529C2×D53semidirect
1397. #529C2×D53semidirect
1400. C2×#126C2×D53semidirect
1402. C2×#125C2×D53semidirect
1404. C2×#124C2×D53semidirect
1413. C2×#123C2×D53semidirect
1416. C2×C22⋊Q8C2×D53semidirect
1432. C2×C4×Q8C2×D53semidirect
1435. C2×C4×D4C2×D53semidirect
1436. C2×C4×D4C2×D53semidirect
1438. C2×#117C2×D53semidirect
1439. C22×C42C2×D53semidirect
1440. C53#62828semidirect

Maximal subgroups

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

subgroupindex
#202894112
#202894032
#202893832
#202893602
#202893182
#202893032
#202892852
#202892462
#202892312
#202891712
#202890722
#202889242
#202889052
#202888202
#202887872
#202887752
#202887692
#202887642
#202887472
#202887042
#202886592
#202886472
#202885802
#202885542
#202884672
#202884502
#202884272
#202884072
#202880112
C2×#168111572
C2×C53×#5292
#6282853