Finite Group Databasebeta

← #28293025

Subgroups — #28293025

Order 13568.

7254 conjugacy classes of subgroups.

The subgroup lattice has 2688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289292C214yesmaximal, complemented
2#20289290C214yesmaximal, complemented
3#20289188C211yesmaximal, characteristic, complemented
4#20289183C212yesmaximal, complemented
5#20289180C211yesmaximal, characteristic, complemented
6#20289087C211yesmaximal, characteristic, complemented
7#20289076C212yesmaximal, complemented
8#20289033C212yesmaximal, complemented
9#20289020C214yesmaximal, complemented
10#20289019C212yesmaximal, complemented
11#20288720C211yesmaximal, characteristic, complemented
12#20288718C212yesmaximal, complemented
13#20288716C211yesmaximal, characteristic, complemented
14#20288679C211yesmaximal, characteristic, complemented
15#20288673C212yesmaximal, complemented
16#20288667C211yesmaximal, characteristic, complemented
17#20288662C212yesmaximal, complemented
18#20288651C214yesmaximal, complemented
19#20288644C212yesmaximal, complemented
20#20288624C212yesmaximal, complemented
21#20288617C212yesmaximal, complemented
22#20288607C212yesmaximal, complemented
23#20288595C211yesmaximal, characteristic, complemented
24#20288590C212yesmaximal, complemented
25#20288585C211yesmaximal, characteristic, complemented
26#20288583C212yesmaximal, complemented
27#20288507C212yesmaximal, complemented
28#20288494C211yesmaximal, characteristic, complemented
29#20288487C211yesmaximal, characteristic, complemented
30#20288368C212yesmaximal, complemented
31#20288352C212yesmaximal, complemented
32#20288010C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34#532×D53C211yesmaximal, characteristic, complemented
35C53×#3546C211yesmaximal, characteristic, complemented
36C2×#13133264C2212yescomplemented
37C2×#13133262C2212yes—
38C2×#41×D53C2212yescomplemented
39#16811370C2214yescomplemented
40#16811369C2214yescomplemented
41#16811368C2214yescomplemented
42#16811367C2214yescomplemented
43#16811362C2214yescomplemented
44#16811361C2214yescomplemented
45#16811361C2214yescomplemented
46#16811359C2211yescharacteristic, complemented
47#16811358C2211yescharacteristic, complemented
48#16811357C2214yescomplemented
49#16811356C2212yescomplemented
50#16811356C2212yescomplemented
51#16811355C2214yescomplemented
52#16811355C2212yescomplemented
53#16811355C2214yescomplemented
54#16811352C2211yescharacteristic, complemented
55#16811351C2212yescomplemented
56#16811348C2211yescharacteristic, complemented
57#16811344C2214yescomplemented
58#16811343C2211yescharacteristic, complemented
59#16811342C2212yescomplemented
60#16811340C2214yescomplemented
61#16811337C2212yescomplemented
62#16811337C2214yescomplemented
63#16811336C2212yescomplemented
64#16811332C2212yescomplemented
65#16811331C2214yescomplemented
66#16811329C2212yescomplemented
67#16811325C2212yescomplemented
68#16811325C2214yescomplemented
69#16811323C2214yescomplemented
70#16811321C2212yescomplemented
71#16811319C2212yescomplemented
72#16811318C2214yescomplemented
73#16811316C2214yescomplemented
74#16811316C2214yescomplemented
75#16811316C2214yescomplemented
76#16811312C2212yescomplemented
77#16811309C2214yescomplemented
78#16811307C2212yescomplemented
79#16811304C2214yescomplemented
80#16811303C2214yescomplemented
81#16811301C2214yescomplemented
82#16811300C2214yescomplemented
83#16811299C2214yescomplemented
84#16811298C2214yescomplemented
85#16811298C2214yescomplemented
86#16811296C2214yescomplemented
87#16811294C2211yescharacteristic, complemented
88#16811294C2211yescharacteristic, complemented
89#16811293C2214yescomplemented
90#16811293C2212yescomplemented
91#16811293C2212yescomplemented
92#16811293C2214yescomplemented
93#16811293C2211yescharacteristic, complemented
94#16811292C2212yescomplemented
95#16811292C2212yescomplemented
96#16811291C2212yescomplemented
97#16811291C2214yescomplemented
98#16811291C2212yescomplemented
99#16811291C2212yescomplemented
100D4×Dic106C2211yescharacteristic, complemented
101#16811288C2211yescharacteristic, complemented
102#16811286C2212yescomplemented
103#16811285C2212yescomplemented
104#16811282C2214yescomplemented
105#16811282C2212yescomplemented
106#16811280C2212yescomplemented
107#16811279C2214yescomplemented
108#16811279C2214yescomplemented
109#16811279C2214yescomplemented
110#16811279C2212yescomplemented
111#16811278C2212yescomplemented
112#16811277C2211yescharacteristic, complemented
113#16811277C2212yescomplemented
114#16811275C2212yescomplemented
115#16811274C2212yescomplemented
116#16811273C2212yescomplemented
117#16811273C2214yescomplemented
118#16811272C2212yescomplemented
119#16811272C2212yescomplemented
120#16811271C2214yescomplemented
121#16811271C2214yescomplemented
122#16811270C2212yescomplemented
123#16811270C2212yescomplemented
124#16811270C2214yescomplemented
125#16811270C2214yescomplemented
126#16811269C2212yescomplemented
127#16811267C2212yescomplemented
128#16811267C2212yescomplemented
129#16811266C2212yescomplemented
130#16811264C2212yescomplemented
131#16811263C2214yescomplemented
132#16811262C2214yescomplemented
133#16811261C2212yescomplemented
134#16811260C2214yescomplemented
135#16811260C2214yescomplemented
136#16811260C2214yescomplemented
137#16811260C2214yescomplemented
138#16811260C2214yescomplemented
139#16811260C2214yescomplemented
140#16811260C2214yescomplemented
141D4×D212C2211yescharacteristic, complemented
142#16811257C2212yes—
143D4×C22⋊D53C2212yes—
144D4×C22⋊D53C2212yescomplemented
145#16811255C2214yes—
146#16811247C2212yescomplemented
147#16811246C2212yescomplemented
148#16811246C2212yescomplemented
149#16811244C2212yescomplemented
150#16811242C2212yescomplemented
151#16811241C2214yescomplemented
152#16811240C2212yescomplemented
153#16811240C2212yescomplemented
154#16811239C2214yescomplemented
155#16811230C2214yescomplemented
156#16811227C2214yescomplemented
157#16811226C2212yescomplemented
158#16811226C2214yescomplemented
159#16811226C2212yescomplemented
160#16811226C2212yescomplemented
161#16811226C2212yescomplemented
162#16811225C2214yescomplemented
163#16811225C2214yescomplemented
164#16811223C2214yescomplemented
165#16811223C2214yescomplemented
166#16811223C2214yescomplemented
167#16811217C2214yescomplemented
168#16811215C2214yescomplemented
169#16811214C2214yescomplemented
170#16811214C2214yescomplemented
171#16811212C2214yescomplemented
172#16811208C2214yescomplemented
173#16811208C2214yescomplemented
174#16811208C2214yescomplemented
175#16811207C2214yescomplemented
176#16811205C2214yescomplemented
177#16811205C2214yescomplemented
178#16811201C2212yescomplemented
179#16811200C2214yescomplemented
180#16811199C2212yescomplemented
181#16811196C2212yescomplemented
182#16811195C2214yescomplemented
183#16811193C2212yes—
184#16811193C2212yescomplemented
185#16811189C2212yes—
186#16811189C2214yescomplemented
187#16811188C2214yescomplemented
188#16811188C2214yescomplemented
189#16811187C2212yescomplemented
190#16811186C2214yescomplemented
191#16811186C2212yescomplemented
192#16811186C2212yescomplemented
193#16811183C2214yescomplemented
194#16811181C2214yescomplemented
195#16811180C2211yescharacteristic, complemented
196#16811179C2211yescharacteristic, complemented
197#16811178C2211yescharacteristic, complemented
198#16811178C2211yescharacteristic, complemented
199#16811177C2211yescharacteristic, complemented
200#16811176C2212yescomplemented
201#16811175C2211yescharacteristic, complemented
202#16811175C2212yescomplemented
203#16811174C2211yescharacteristic, complemented
204#16811173C2211yescharacteristic, complemented
205#16811172C2211yescharacteristic, complemented
206#16811172C2212yescomplemented
207#16811171C2211yescharacteristic
208#16811171C2211yescharacteristic, complemented
209#16811171C2211yescharacteristic, complemented
210#16811171C2212yescomplemented
211#16811170C2211yescharacteristic
212#16811170C2212yescomplemented
213#16811170C2212yescomplemented
214#16811169C2212yescomplemented
215#16811169C2212yescomplemented
216#16811169C2212yescomplemented
217#16811168C2211yescharacteristic, complemented
218#16811168C2212yescomplemented
219#16811168C2212yescomplemented
220#16811168C2212yescomplemented
221#16811168C2212yescomplemented
222#16811168C2212yescomplemented
223C2×#13133216C2212yescomplemented
224C4⋊Q8×D53C2211yescharacteristic, complemented
225C2×#13133213C2212yescomplemented
226#127×D53C2211yescharacteristic
227#16811160C2212yescomplemented
228#16811159C2212yescomplemented
229#16811158C2211yescharacteristic, complemented
230#16811157C2211yescharacteristic, complemented
231#16811156C2212yescomplemented
232#16811156C2212yescomplemented
233#16811155C2212yescomplemented
234#16811155C2211yescharacteristic, complemented
235#16811155C2211yescharacteristic, complemented
236#16811155C2212yescomplemented
237#16811154C2212yescomplemented
238#16811154C2211yescharacteristic, complemented
239#16811154C2211yescharacteristic, complemented
240#16811154C2212yescomplemented
241#16811152C2211yescharacteristic, complemented
242#16811152C2212yescomplemented
243#16811152C2212yescomplemented
244#16811151C2212yescomplemented
245#16811150C2212yescomplemented
246C2×#13133204C2212yescomplemented
247#124×D53C2212yescomplemented
248#124×D53C2212yescomplemented
249#16811136C2211yescharacteristic, complemented
250#16811133C2211yescharacteristic
251#16811133C2211yescharacteristic, complemented
252#16811133C2211yescharacteristic, complemented
253#16811133C2212yescomplemented
254#16811133C2214yescomplemented
255#16811132C2212yescomplemented
256#16811132C2214yescomplemented
257#16811131C2212yescomplemented
258#16811130C2212yescomplemented
259C2×#13133199C2214yescomplemented
260#123×D53C2214yescomplemented
261#121×D53C2212yescomplemented
262#121×D53C2212yescomplemented
263#16811106C2212yescomplemented
264#16811104C2212yescomplemented
265#16811102C2214yescomplemented
266#16811099C2212yescomplemented
267#16811098C2212yescomplemented
268#16811097C2212yescomplemented
269#16811096C2214yescomplemented
270#16811095C2212yescomplemented
271#41×Dic53C2212yescomplemented
272C4×#11719949C2211yescharacteristic, complemented
273#16811091C2212yescomplemented
274C4×#11719947C2211yescharacteristic
275C4×#11719947C2211yescharacteristic, complemented
276C4×#11719947C2212yescomplemented
277C4×#11719947C2212yescomplemented
278C4×#11719947C2211yescharacteristic, complemented
279C4×D4×D53C2212yescomplemented
280C4×D4×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#560C2214yescomplemented
283C53×#556C2211yescharacteristic, complemented
284C53×#553C2212yescomplemented
285C53×#550C2211yescharacteristic, complemented
286C53×#550C2212yescomplemented
287C53×#547C2211yescharacteristic, complemented
288C53×#546C2212yescomplemented
289C53×#546C2212yescomplemented
290D42×C53C2211yescharacteristic, complemented
291C53×#542C2212yescomplemented
292C53×#538C2214yescomplemented
293C53×#537C2212yescomplemented
294C53×#535C2212yescomplemented
295C53×#535C2212yescomplemented
296C53×#532C2211yescharacteristic, complemented
297C53×#532C2211yescharacteristic, complemented
298C53×#529C2211yescharacteristic, complemented
299#13133264—48no—
300#13133262—48no—
301C2×#11719949C2311yescharacteristic
302C2×#11719949C2312yes—
303C2×#11719945C2312yes—
304C2×#11719945C2312yes—
305C2×#11719945C2314yes—
306C2×#11719945C2312yes—
307C2×#11719945C2314yes—
308C2×#11719945C2312yes—
309C2×#11719947C2311yescharacteristic
310C2×#11719947C2311yescharacteristic
311C2×#11719947C2311yescharacteristic
312C2×#11719947C2312yes—
313C2×#11719947C2314yes—
314C2×#11719947C2314yes—
315C2×#11719947C2312yes—
316C2×#11719947C2312yes—
317C2×#11719947C2314yes—
318C2×#11719947C2314yes—
319C2×#11719947C2312yes—
320C2×#11719947C2314yes—
321C2×#11719947C2312yes—
322#41×D53—48no—
323C22×Dic106C2314yes—
324C22×Dic106C2312yes—
325C2×Q8×D53C2312yes—
326C2×Q8×D53C2312yes—
327C22×D212C2312yes—
328C22×C22⋊D53C2314yes—
329C22×C22⋊D53C2314yes—
330C22×C22⋊D53C2314yes—
331C2×D4×D53C2312yes—
332C2×D4×D53C2312yes—
333C2×D4×D53C2314yes—
334C2×D4×D53C2312yes—
335C2×D4×D53C2312yes—
336C2×D4×D53C2314yes—
337C22×C4×D53C2311yescharacteristic
338C22×C4×D53C2311yescharacteristic
339C22×C4×D53C2311yescharacteristic
340C22×C4×D53C2314yes—
341#13133217C2312yes—
342#13133217C2311yescharacteristic
343#13133217C2311yescharacteristic
344#13133217C2311yescharacteristic
345#13133216C2314yes—
346#13133216C2314yes—
347#13133216C2312yes—
348#13133216C2312yes—
349#13133216C2312yes—
350#13133216C2312yes—
351#13133216C2311yescharacteristic
352#13133216C2311yescharacteristic
353#13133215C2312yes—
354#13133215C2312yes—
355#13133215C2311yescharacteristic
356#13133214C2311yescharacteristic
357#13133213C2314yes—
358#13133213C2312yes—
359#13133213C2314yes—
360#13133213C2314yes—
361#13133213C2314yes—
362#13133213C2314yes—
363#13133213C2312yes—
364#13133213C2312yes—
365#13133213C2312yes—
366#13133213C2312yes—
367#13133213C2312yes—
368#13133213C2311yescharacteristic
369#13133212C2314yes—
370#13133212C2314yes—
371#13133212C2314yes—
372#13133212C2314yes—
373#13133212C2312yes—
374#13133211C2312yes—
375#13133210C2312yes—
376#13133210C2314yes—
377#13133210C2312yes—
378#13133210C2314yes—
379#13133210C2314yes—
380#13133210C2314yes—
381#13133210C2314yes—
382#13133210C2314yes—
383#13133210C2312yes—
384#13133210C2312yes—
385#13133210C2312yes—
386#13133209C2314yes—
387#13133209C2311yescharacteristic
388#13133209C2312yes—
389#13133208C2312yes—
390#13133208C2314yes—
391#13133208C2312yes—
392#13133208C2311yescharacteristic
393#13133208C2311yescharacteristic
394#13133208C2312yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2312yes—
399#13133207C2312yes—
400#13133206C2312yes—
401#13133206C2314yes—
402#13133206C2312yes—
403#13133205C2311yescharacteristic
404#13133205C2314yes—
405#13133205C2312yes—
406#13133205C2312yes—
407#13133204C2312yes—
408#13133204C2312yes—
409#13133204C2314yes—
410#13133204C2314yes—
411#13133204C2314yes—
412#13133204C2312yes—
413#13133204C2311yescharacteristic
414#13133204C2312yes—
415#13133204C2311yescharacteristic
416#13133204C2312yes—
417#13133203C2314yes—
418#13133203C2314yes—
419#13133203C2314yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2314yes—
426#13133203C2312yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2312yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2312yes—
436#13133202C2312yes—
437#13133201C2314yes—
438#13133201C2314yes—
439#13133201C2314yes—
440#13133201C2314yes—
441#13133201C2314yes—
442#13133201C2314yes—
443#13133201C2314yes—
444#13133200C2314yes—
445#13133200C2314yes—
446#13133200C2314yes—
447#13133200C2312yes—
448#13133199C2314yes—
449#13133199C2314yes—
450#13133199C2314yes—
451#13133199C2314yes—
452#13133199C2314yes—
453#13133199C2314yes—
454#13133199C2314yes—
455#13133199C2314yes—
456#13133199C2314yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2312yes—
462#13133199C2312yes—
463#13133199C2312yes—
464#13133199C2312yes—
465#13133199C2312yes—
466#13133199C2312yes—
467#13133198C2314yes—
468#13133198C2314yes—
469#13133198C2314yes—
470#13133198C2314yes—
471#13133198C2314yes—
472#13133198C2312yes—
473#13133198C2312yes—
474#13133197C2311yescharacteristic
475#13133197C2312yes—
476#13133197C2314yes—
477#13133197C2314yes—
478#13133197C2311yescharacteristic
479#13133197C2311yescharacteristic
480#13133197C2314yes—
481#13133197C2312yes—
482#13133196C2312yes—
483#13133196C2312yes—
484#13133196C2311yescharacteristic
485#13133196C2311yescharacteristic
486#13133196C2314yes—
487#13133196C2312yes—
488#13133196C2311yescharacteristic
489#13133195C2312yes—
490#13133195C2314yes—
491#13133195C2314yes—
492#13133195C2314yes—
493#13133195C2314yes—
494#13133195C2312yes—
495#13133195C2312yes—
496#13133194C2314yes—
497#13133194C2314yes—
498#13133194C2312yes—
499#13133194C2314yes—
500#13133194C2314yes—
501#13133194C2314yes—
502#13133194C2314yes—
503#13133194C2314yes—
504#13133194C2314yes—
505#13133194C2314yes—
506#13133193C2312yes—
507#13133193C2312yes—
508#13133193C2314yes—
509#13133193C2311yescharacteristic
510#13133193C2312yes—
511#13133192C2314yes—
512#13133192C2312yes—
513#13133192C2311yescharacteristic
514#13133192C2312yes—
515#13133192C2312yes—
516#13133191C2312yes—
517#13133191C2314yes—
518#13133191C2312yes—
519#13133191C2314yes—
520#13133191C2312yes—
521#13133191C2312yes—
522#13133191C2312yes—
523#13133191C2312yes—
524#13133191C2311yescharacteristic
525#13133190C2314yes—
526#13133190C2314yes—
527#13133190C2312yes—
528#13133190C2314yes—
529#13133190C2312yes—
530#13133190C2314yes—
531#13133190C2314yes—
532#13133190C2314yes—
533#13133190C2314yes—
534#13133190C2314yes—
535#13133190C2312yes—
536#13133189C2314yes—
537#13133189C2314yes—
538#13133189C2314yes—
539#13133189C2314yes—
540#13133189C2314yes—
541#13133189C2314yes—
542#13133189C2314yes—
543#13133189C2314yes—
544#13133189C2314yes—
545#13133189C2314yes—
546#13133189C2314yes—
547#13133189C2314yes—
548#13133189C2314yes—
549#13133189C2314yes—
550#13133189C2312yes—
551#13133189C2314yes—
552#13133189C2314yes—
553#13133189C2314yes—
554#13133189C2314yes—
555#13133189C2314yes—
556#13133189C2314yes—
557#13133189C2314yes—
558#13133188C2311yescharacteristic
559#13133188C2312yes—
560#13133188C2312yes—
561#13133188C2312yes—
562#13133188C2314yes—
563#13133188C2314yes—
564#13133188C2314yes—
565#13133188C2314yes—
566#13133188C2311yescharacteristic
567#13133188C2314yes—
568#13133188C2312yes—
569#13133188C2314yes—
570#13133188C2311yescharacteristic
571#13133188C2314yes—
572#13133188C2312yes—
573#13133188C2312yes—
574#13133187C2314yes—
575#13133187C2314yes—
576#13133187C2314yes—
577#13133187C2312yes—
578#13133186C2314yes—
579#13133186C2314yes—
580#13133185C2314yes—
581#13133185C2314yes—
582#13133185C2314yes—
583#13133185C2314yes—
584#13133185C2314yes—
585#13133185C2314yes—
586#13133185C2314yes—
587#13133185C2312yes—
588#13133185C2312yes—
589#13133185C2312yes—
590Q8×Dic53C2312yes—
591Q8×Dic53C2312yes—
592Q8×Dic53C2312yes—
593Q8×Dic53C2312yes—
594Q8×Dic53C2311yescharacteristic
595C4×Dic106C2314yes—
596C4×Dic106C2312yes—
597C4×Dic106C2311yescharacteristic
598C4×Dic106C2311yescharacteristic
599C4×Dic106C2314yes—
600C4×Dic106C2312yes—
601C4×Dic106C2311yescharacteristic
602C4×Dic106C2312yes—
603#13133182C2312yes—
604#13133182C2312yes—
605#13133182C2312yes—
606#13133182C2314yes—
607#13133182C2311yescharacteristic
608#13133182C2311yescharacteristic
609#13133182C2312yes—
610#13133182C2312yes—
611#13133182C2312yes—
612#13133182C2311yescharacteristic
613C4×D212C2312yes—
614C4×D212C2312yes—
615C4×D212C2312yes—
616C4×D212C2311yescharacteristic
617C4×D212C2314yes—
618C4×D212C2314yes—
619C4×D212C2312yes—
620D4×Dic53C2312yes—
621D4×Dic53C2312yes—
622D4×Dic53C2311yescharacteristic
623D4×Dic53C2312yes—
624D4×Dic53C2312yes—
625D4×Dic53C2312yes—
626D4×Dic53C2312yes—
627D4×Dic53C2314yes—
628D4×Dic53C2314yes—
629D4×Dic53C2314yes—
630D4×Dic53C2314yes—
631D4×Dic53C2312yes—
632D4×Dic53C2314yes—
633D4×Dic53C2312yes—
634D4×Dic53C2312yes—
635D4×Dic53C2312yes—
636D4×Dic53C2312yes—
637D4×Dic53C2312yes—
638D4×Dic53C2312yes—
639D4×Dic53C2311yescharacteristic
640D4×Dic53C2311yescharacteristic
641D4×Dic53C2312yes—
642#13133179C2312yes—
643#13133179C2312yes—
644#13133179C2312yes—
645#13133179C2312yes—
646#13133179C2312yes—
647#13133179C2312yes—
648#13133179C2312yes—
649#13133179C2312yes—
650#13133179C2311yescharacteristic
651#13133179C2312yes—
652C4×C22⋊D53C2312yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2314yes—
658C4×C22⋊D53C2312yes—
659C4×C22⋊D53C2314yes—
660C4×C22⋊D53C2314yes—
661C4×C22⋊D53C2314yes—
662C4×C22⋊D53C2312yes—
663C4×C22⋊D53C2314yes—
664C4×C22⋊D53C2314yes—
665C4×C22⋊D53C2312yes—
666C4×C22⋊D53C2314yes—
667C4×C22⋊D53C2314yes—
668#13133177C2312yes—
669#13133177C2312yes—
670#13133177C2314yes—
671#13133177C2314yes—
672#13133177C2312yes—
673#13133177C2314yes—
674#13133177C2314yes—
675#13133177C2314yes—
676#13133177C2314yes—
677#13133177C2312yes—
678#13133177C2312yes—
679#13133177C2312yes—
680#13133177C2314yes—
681#13133177C2314yes—
682#13133177C2312yes—
683#13133177C2312yes—
684#13133177C2312yes—
685#13133177C2312yes—
686#13133177C2312yes—
687#13133176C2314yes—
688#13133176C2312yes—
689#13133176C2312yes—
690#13133176C2312yes—
691#13133176C2312yes—
692#13133175C2314yes—
693#13133175C2312yes—
694#13133175C2314yes—
695#13133175C2312yes—
696#13133175C2311yescharacteristic
697#13133175C2311yescharacteristic
698#13133175C2311yescharacteristic
699#13133175C2311yescharacteristic
700#13133175C2312yes—
701#13133174C2314yes—
702#13133174C2314yes—
703#13133174C2312yes—
704#13133174C2312yes—
705#13133173C2312yes—
706#13133173C2314yes—
707#13133173C2312yes—
708#13133173C2314yes—
709#13133173C2312yes—
710#13133173C2312yes—
711#13133173C2312yes—
712#13133173C2312yes—
713#13133173C2312yes—
714C2×C4⋊Dic53C2312yes—
715C2×C4⋊Dic53C2314yes—
716C2×#11719919C2314yes—
717C2×#11719919C2314yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2314yes—
720C4⋊C4×D53C2312yes—
721C4⋊C4×D53C2314yes—
722C2×C22⋊Dic53C2314yes—
723C2×C22⋊Dic53C2314yes—
724C2×C22⋊Dic53C2314yes—
725C2×#11719921C2314yes—
726C22⋊C4×D53C2314yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2314yes—
732C22⋊C4×D53C2314yes—
733C2×C4×Dic53C2311yescharacteristic
734C2×C4×Dic53C2311yescharacteristic
735C2×C4×Dic53C2311yescharacteristic
736C2×C4×Dic53C2312yes—
737C2×C4×Dic53C2312yes—
738C2×C4×Dic53C2312yes—
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2311yescharacteristic
745C42×D53C2311yescharacteristic
746C42×D53C2311yescharacteristic
747C42×D53C2312yes—
748C2×#41×C53C2312yes—
749C2×#41×C53C2312yes—
750C2×#41×C53C2312yes—
751C2×#41×C53C2312yes—
752C22×D4×C53C2312yes—
753C22×D4×C53C2312yes—
754C4⋊Q8×C53C2311yescharacteristic
755C4⋊Q8×C53C2311yescharacteristic
756#127×C53C2312yes—
757#127×C53C2314yes—
758#127×C53C2311yescharacteristic
759#127×C53C2311yescharacteristic
760#126×C53C2314yes—
761#126×C53C2314yes—
762#126×C53C2312yes—
763#125×C53C2311yescharacteristic
764#124×C53C2312yes—
765#124×C53C2314yes—
766#124×C53C2311yescharacteristic
767#124×C53C2312yes—
768#124×C53C2312yes—
769#123×C53C2314yes—
770#123×C53C2314yes—
771#123×C53C2314yes—
772#123×C53C2312yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2312yes—
775C22⋊Q8×C53C2314yes—
776C22⋊Q8×C53C2311yescharacteristic
777#121×C53C2311yescharacteristic
778#121×C53C2314yes—
779#121×C53C2314yes—
780#121×C53C2312yes—
781#121×C53C2312yes—
782#121×C53C2314yes—
783#121×C53C2312yes—
784#121×C53C2314yes—
785#121×C53C2311yescharacteristic
786#121×C53C2314yes—
787#121×C53C2311yescharacteristic
788#121×C53C2312yes—
789#121×C53C2312yes—
790#121×C53C2312yes—
791#121×C53C2312yes—
792#121×C53C2314yes—
793#120×C53C2314yes—
794#120×C53C2314yes—
795#120×C53C2314yes—
796#120×C53C2314yes—
797C4×Q8×C53C2312yes—
798C4×Q8×C53C2311yescharacteristic
799C4×D4×C53C2312yes—
800C4×D4×C53C2311yescharacteristic
801C4×D4×C53C2312yes—
802C4×D4×C53C2312yes—
803C4×D4×C53C2314yes—
804C4×D4×C53C2311yescharacteristic
805C4×D4×C53C2312yes—
806C4×D4×C53C2311yescharacteristic
807C4×D4×C53C2312yes—
808#117×C53C2312yes—
809#117×C53C2312yes—
810C2×C4⋊C4×C53C2312yes—
811C2×C22⋊C4×C53C2314yes—
812C2×C42×C53C2311yescharacteristic
813C24×C53C2414yes—
814C23×D53C2414yes—
815C23×D53C2411yescharacteristic
816C23×D53C2414yes—
817#41×C53—44no—
818#41×C53—44no—
819#41×C53—44no—
820#41×C53—44no—
821C2×Q8×C53C2411yescharacteristic
822C2×Q8×C53C2412yes—
823C2×Q8×C53C2412yes—
824C2×D4×C53—44no—
825C2×D4×C53—44no—
826C2×D4×C53C2411yescharacteristic
827C2×D4×C53C2412yes—
828C2×D4×C53C2411yescharacteristic
829C2×D4×C53C2412yes—
830C2×D4×C53C2411yescharacteristic
831C2×D4×C53C2412yes—
832C2×D4×C53C2412yes—
833C2×D4×C53C2412yes—
834C2×D4×C53C2414yes—
835C2×D4×C53C2412yes—
836C2×D4×C53C2414yes—
837C2×D4×C53C2412yes—
838C2×D4×C53C2414yes—
839C2×D4×C53C2414yes—
840C2×D4×C53C2414yes—
841C2×D4×C53C2414yes—
842C2×D4×C53C2412yes—
843C22×C4×C53C2411yescharacteristic
844C22×C4×C53C2411yescharacteristic
845C22×C4×C53C2412yes—
846C22×C4×C53C2412yes—
847C22×C4×C53C2412yes—
848C22×C4×C53C2411yescharacteristic
849C22×C4×C53C2414yes—
850C22×C4×C53C2414yes—
851C22×C4×C53C2414yes—
852C2×C22⋊D53—48no—
853C2×C22⋊D53—48no—
854C2×C22⋊D53—48no—
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2412yes—
858C2×C22⋊D53C2412yes—
859C2×C22⋊D53C2412yes—
860C2×C22⋊D53C2412yes—
861C2×C22⋊D53C2414yes—
862C2×C22⋊D53C2414yes—
863C2×C22⋊D53C2412yes—
864C2×C22⋊D53C2414yes—
865C2×C22⋊D53C2412yes—
866C2×C22⋊D53C2412yes—
867C2×C22⋊D53C2414yes—
868C2×C22⋊D53C2412yes—
869C2×C22⋊D53C2414yes—
870C2×C22⋊D53C2414yes—
871C2×C22⋊D53C2414yes—
872C2×C22⋊D53C2414yes—
873C2×C22⋊D53C2414yes—
874C2×C22⋊D53C2414yes—
875C2×C22⋊D53C2414yes—
876C2×C22⋊D53C2414yes—
877C22×Dic53C2411yescharacteristic
878C22×Dic53C2411yescharacteristic
879C22×Dic53C2412yes—
880C22×Dic53C2412yes—
881C22×Dic53C2412yes—
882C22×Dic53C2412yes—
883C22×Dic53C2411yescharacteristic
884C22×Dic53C2412yes—
885C22×Dic53C2412yes—
886C22×Dic53C2414yes—
887C22×Dic53C2414yes—
888C22×Dic53C2414yes—
889C22×Dic53C2414yes—
890C22×Dic53C2414yes—
891#11719949—44no—
892#11719949—42no—
893Q8×D53—28no—
894Q8×D53—44no—
895#11719947—24no—
896#11719947—24no—
897#11719947—44no—
898#11719947—42no—
899#11719947—44no—
900#11719947—44no—
901#11719947—48no—
902#11719947—44no—
903#11719947—48no—
904#11719947—48no—
905#11719947—48no—
906#11719947—44no—
907#11719947—48no—
908D4×D53—28no—
909D4×D53—44no—
910D4×D53—44no—
911D4×D53—44no—
912D4×D53—48no—
913D4×D53—48no—
914#11719945—28no—
915#11719945—48no—
916#11719945—44no—
917#11719945—44no—
918#11719945—44no—
919#11719945—48no—
920C2×D212—44no—
921C2×D212C2411yescharacteristic
922C2×D212C2412yes—
923C2×D212C2412yes—
924C2×D212C2412yes—
925C2×D212C2412yes—
926C2×D212C2412yes—
927C2×D212C2414yes—
928C2×D212C2414yes—
929C2×C4×D53—24no—
930C2×C4×D53—42no—
931C2×C4×D53—42no—
932C2×C4×D53—48no—
933C2×C4×D53C2411yescharacteristic
934C2×C4×D53C2411yescharacteristic
935C2×C4×D53C2411yescharacteristic
936C2×C4×D53C2411yescharacteristic
937C2×C4×D53C2411yescharacteristic
938C2×C4×D53C2411yescharacteristic
939C2×C4×D53C2411yescharacteristic
940C2×C4×D53C2412yes—
941C2×C4×D53C2414yes—
942C2×C4×D53C2411yescharacteristic
943C2×C4×D53C2411yescharacteristic
944C2×C4×D53C2411yescharacteristic
945C2×C4×D53C2411yescharacteristic
946C2×C4×D53C2412yes—
947C2×C4×D53C2412yes—
948C2×C4×D53C2414yes—
949C2×C4×D53C2414yes—
950C2×C4×D53C2414yes—
951C2×C4×D53C2414yes—
952C2×C4×D53C2414yes—
953C2×C4×D53C2414yes—
954C2×C4×D53C2411yescharacteristic
955C2×Dic106—48no—
956C2×Dic106—44no—
957C2×Dic106C2411yescharacteristic
958C2×Dic106C2412yes—
959C2×Dic106C2412yes—
960C2×Dic106C2414yes—
961C2×Dic106C2411yescharacteristic
962C2×Dic106C2412yes—
963C2×Dic106C2411yescharacteristic
964C2×Dic106C2412yes—
965C2×Dic106C2414yes—
966C2×Dic106C2414yes—
967C4⋊C4×C53C2411yescharacteristic
968C4⋊C4×C53C2412yes—
969C4⋊C4×C53C2414yes—
970C4⋊C4×C53C2411yescharacteristic
971C4⋊C4×C53C2412yes—
972C4⋊C4×C53C2412yes—
973C4⋊C4×C53C2411yescharacteristic
974C4⋊C4×C53C2412yes—
975C4⋊C4×C53C2411yescharacteristic
976C4⋊C4×C53C2412yes—
977C4⋊C4×C53C2412yes—
978C4⋊C4×C53C2414yes—
979C4⋊C4×C53C2412yes—
980C22⋊C4×C53C2412yes—
981C22⋊C4×C53C2412yes—
982C22⋊C4×C53C2414yes—
983C22⋊C4×C53C2414yes—
984C22⋊C4×C53C2414yes—
985C22⋊C4×C53C2412yes—
986C22⋊C4×C53C2412yes—
987C22⋊C4×C53C2412yes—
988C22⋊C4×C53C2412yes—
989C22⋊C4×C53C2412yes—
990C22⋊C4×C53C2414yes—
991C22⋊C4×C53C2414yes—
992C22⋊C4×C53C2414yes—
993C22⋊C4×C53C2414yes—
994C22⋊C4×C53C2412yes—
995C22⋊C4×C53C2412yes—
996C42×C53C2411yescharacteristic
997C42×C53C2411yescharacteristic
998C42×C53C2411yescharacteristic
999C42×C53C2411yescharacteristic
1000C42×C53C2412yes—
1001C42×C53C2414yes—
1002C22⋊Dic53C2412yes—
1003C22⋊Dic53C2412yes—
1004C22⋊Dic53C2412yes—
1005C22⋊Dic53C2414yes—
1006C22⋊Dic53C2414yes—
1007C22⋊Dic53C2414yes—
1008C22⋊Dic53C2414yes—
1009C22⋊Dic53C2412yes—
1010C22⋊Dic53C2414yes—
1011C22⋊Dic53C2414yes—
1012C22⋊Dic53C2414yes—
1013C22⋊Dic53C2414yes—
1014C22⋊Dic53C2412yes—
1015C22⋊Dic53C2412yes—
1016C22⋊Dic53C2412yes—
1017C22⋊Dic53C2412yes—
1018C22⋊Dic53C2412yes—
1019C22⋊Dic53C2412yes—
1020C22⋊Dic53C2412yes—
1021C22⋊Dic53C2414yes—
1022C22⋊Dic53C2412yes—
1023C22⋊Dic53C2412yes—
1024#11719921C2412yes—
1025#11719921C2412yes—
1026#11719921C2414yes—
1027#11719921C2412yes—
1028#11719921C2414yes—
1029#11719921C2412yes—
1030#11719921C2414yes—
1031#11719921C2414yes—
1032#11719921C2414yes—
1033#11719921C2414yes—
1034#11719921C2414yes—
1035#11719921C2414yes—
1036#11719921C2412yes—
1037#11719921C2414yes—
1038#11719921C2414yes—
1039#11719921C2412yes—
1040#11719921C2414yes—
1041#11719921C2412yes—
1042#11719921C2412yes—
1043#11719921C2412yes—
1044#11719921C2412yes—
1045#11719921C2412yes—
1046#11719921C2412yes—
1047#11719921C2414yes—
1048#11719921C2412yes—
1049#11719921C2412yes—
1050C4⋊Dic53C2412yes—
1051C4⋊Dic53C2412yes—
1052C4⋊Dic53C2412yes—
1053C4⋊Dic53C2414yes—
1054C4⋊Dic53C2411yescharacteristic
1055C4⋊Dic53C2412yes—
1056C4⋊Dic53C2414yes—
1057C4⋊Dic53C2414yes—
1058C4⋊Dic53C2412yes—
1059C4⋊Dic53C2411yescharacteristic
1060C4⋊Dic53C2411yescharacteristic
1061C4⋊Dic53C2411yescharacteristic
1062C4⋊Dic53C2412yes—
1063C4⋊Dic53C2412yes—
1064C4⋊Dic53C2414yes—
1065C4⋊Dic53C2412yes—
1066C4⋊Dic53C2412yes—
1067C4⋊Dic53C2412yes—
1068C4⋊Dic53C2412yes—
1069#11719919C2412yes—
1070#11719919C2412yes—
1071#11719919C2414yes—
1072#11719919C2414yes—
1073#11719919C2414yes—
1074#11719919C2414yes—
1075#11719919C2412yes—
1076#11719919C2412yes—
1077#11719919C2414yes—
1078#11719919C2414yes—
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2412yes—
1082#11719919C2412yes—
1083#11719919C2412yes—
1084#11719919C2412yes—
1085#11719919C2412yes—
1086#11719919C2412yes—
1087#11719919C2412yes—
1088#11719919C2412yes—
1089#11719919C2412yes—
1090#11719919C2412yes—
1091#11719919C2412yes—
1092#11719919C2412yes—
1093#11719919C2414yes—
1094#11719919C2414yes—
1095C4×Dic53C2411yescharacteristic
1096C4×Dic53C2411yescharacteristic
1097C4×Dic53C2411yescharacteristic
1098C4×Dic53C2411yescharacteristic
1099C4×Dic53C2411yescharacteristic
1100C4×Dic53C2411yescharacteristic
1101C4×Dic53C2411yescharacteristic
1102C4×Dic53C2411yescharacteristic
1103C4×Dic53C2411yescharacteristic
1104C4×Dic53C2411yescharacteristic
1105C4×Dic53C2411yescharacteristic
1106C4×Dic53C2411yescharacteristic
1107C4×Dic53C2412yes—
1108C4×Dic53C2412yes—
1109C4×Dic53C2412yes—
1110C4×Dic53C2412yes—
1111C4×Dic53C2412yes—
1112C4×Dic53C2412yes—
1113C4×Dic53C2412yes—
1114C4×Dic53C2412yes—
1115C4×Dic53C2412yes—
1116C4×Dic53C2412yes—
1117C4×Dic53C2412yes—
1118C4×Dic53C2414yes—
1119C4×Dic53C2414yes—
1120C4×Dic53C2414yes—
1121C23×C53—44no—
1122C23×C53—44no—
1123C23×C53—44no—
1124C23×C53C2512yes—
1125C23×C53C2512yes—
1126C23×C53C2511yescharacteristic
1127C23×C53C2514yes—
1128C23×C53C2512yes—
1129C22×D53—22no—
1130C22×D53—28no—
1131C22×D53—41no—
1132C22×D53—41no—
1133C22×D53—44no—
1134C22×D53—44no—
1135C22×D53—44no—
1136C22×D53—44no—
1137C22×D53—44no—
1138C22×D53C2511yescharacteristic
1139C22×D53C2512yes—
1140C22×D53C2514yes—
1141C22×D53C2511yescharacteristic
1142Q8×C53—24no—
1143Q8×C53—22no—
1144Q8×C53—42no—
1145D4×C53—24no—
1146D4×C53—22no—
1147D4×C53—22no—
1148D4×C53—24no—
1149D4×C53—22no—
1150D4×C53—44no—
1151D4×C53—44no—
1152D4×C53—42no—
1153D4×C53—44no—
1154D4×C53—44no—
1155D4×C53—42no—
1156D4×C53—42no—
1157D4×C53—44no—
1158D4×C53—42no—
1159D4×C53—42no—
1160D4×C53—44no—
1161D4×C53—42no—
1162C2×C4×C53—24no—
1163C2×C4×C53—22no—
1164C2×C4×C53—22no—
1165C2×C4×C53—24no—
1166C2×C4×C53—24no—
1167C2×C4×C53—44no—
1168C2×C4×C53—44no—
1169C2×C4×C53—41no—
1170C2×C4×C53—44no—
1171C2×C4×C53C2512yes—
1172C2×C4×C53C2514yes—
1173C2×C4×C53C2511yescharacteristic
1174C2×C4×C53C2512yes—
1175C2×C4×C53C2511yescharacteristic
1176C2×C4×C53C2511yescharacteristic
1177C2×C4×C53C2512yes—
1178C2×C4×C53C2511yescharacteristic
1179C2×C4×C53C2512yes—
1180C2×C4×C53C2512yes—
1181C2×C4×C53C2511yescharacteristic
1182C2×C4×C53C2511yescharacteristic
1183C22⋊D53—24no—
1184C22⋊D53—24no—
1185C22⋊D53—24no—
1186C22⋊D53—24no—
1187C22⋊D53—28no—
1188C22⋊D53—28no—
1189C22⋊D53—24no—
1190C22⋊D53—44no—
1191C22⋊D53—44no—
1192C22⋊D53—44no—
1193C22⋊D53—44no—
1194C22⋊D53—44no—
1195C22⋊D53—44no—
1196C22⋊D53—44no—
1197C22⋊D53—44no—
1198C22⋊D53—42no—
1199C22⋊D53—44no—
1200C22⋊D53—42no—
1201C22⋊D53—42no—
1202C22⋊D53—42no—
1203C22⋊D53—44no—
1204C22⋊D53—44no—
1205C2×Dic53—24no—
1206C2×Dic53—22no—
1207C2×Dic53—24no—
1208C2×Dic53—22no—
1209C2×Dic53—24no—
1210C2×Dic53—24no—
1211C2×Dic53—44no—
1212C2×Dic53—44no—
1213C2×Dic53—44no—
1214C2×Dic53—41no—
1215C2×Dic53—44no—
1216C2×Dic53—42no—
1217C2×Dic53—44no—
1218C2×Dic53—42no—
1219C2×Dic53C2512yes—
1220C2×Dic53C2514yes—
1221C2×Dic53C2512yes—
1222C2×Dic53C2512yes—
1223C2×Dic53C2512yes—
1224C2×Dic53C2512yes—
1225C2×Dic53C2512yes—
1226C2×Dic53C2512yes—
1227C2×Dic53C2511yescharacteristic
1228C2×Dic53C2511yescharacteristic
1229C2×Dic53C2511yescharacteristic
1230C2×Dic53C2511yescharacteristic
1231C2×Dic53C2511yescharacteristic
1232C2×Dic53C2511yescharacteristic
1233D212—24no—
1234D212—24no—
1235D212—22no—
1236D212—24no—
1237D212—44no—
1238D212—44no—
1239D212—42no—
1240D212—42no—
1241C4×D53—22no—
1242C4×D53—28no—
1243C4×D53—22no—
1244C4×D53—24no—
1245C4×D53—22no—
1246C4×D53—22no—
1247C4×D53—22no—
1248C4×D53—22no—
1249C4×D53—22no—
1250C4×D53—41no—
1251C4×D53—41no—
1252C4×D53—41no—
1253C4×D53—41no—
1254C4×D53—44no—
1255C4×D53—44no—
1256C4×D53—44no—
1257C4×D53—44no—
1258C4×D53—44no—
1259C4×D53—44no—
1260C4×D53—42no—
1261C4×D53—42no—
1262C4×D53H(5,𝔽2)14yes—
1263Dic106—22no—
1264Dic106—24no—
1265Dic106—22no—
1266Dic106—22no—
1267Dic106—24no—
1268Dic106—28no—
1269Dic106—24no—
1270Dic106—44no—
1271Dic106—44no—
1272Dic106—42no—
1273#62836—531nomaximal, Sylow
1274C22×C53—22no—
1275C22×C53—22no—
1276C22×C53—21no—
1277C22×C53—22no—
1278C22×C53—24no—
1279C22×C53—22no—
1280C22×C53—21no—
1281C22×C53—22no—
1282C22×C53—22no—
1283C22×C53—24no—
1284C22×C53—22no—
1285C22×C53—21no—
1286C22×C53—22no—
1287C22×C53—24no—
1288C22×C53—22no—
1289C22×C53—164no—
1290C22×C53C2611yescharacteristic
1291C2×D53—21no—
1292C2×D53—21no—
1293C2×D53—21no—
1294C2×D53—22no—
1295C2×D53—24no—
1296C2×D53—21no—
1297C2×D53—21no—
1298C2×D53—22no—
1299C2×D53—24no—
1300C2×D53—24no—
1301C2×D53—22no—
1302C2×D53—44no—
1303C2×D53—88no—
1304C2×D53—164no—
1305C2×D53C2×H(5,𝔽2)12yes—
1306C4×C53—22no—
1307C4×C53—24no—
1308C4×C53—21no—
1309C4×C53—22no—
1310C4×C53—21no—
1311C4×C53—21no—
1312C4×C53—22no—
1313C4×C53—21no—
1314C4×C53—22no—
1315C4×C53—22no—
1316C4×C53C2×H(5,𝔽2)12yes—
1317C4×C53#58512yes—
1318Dic53—24no—
1319Dic53—22no—
1320Dic53—22no—
1321Dic53—22no—
1322Dic53—21no—
1323Dic53—22no—
1324Dic53—22no—
1325Dic53—22no—
1326Dic53—22no—
1327Dic53—21no—
1328Dic53—21no—
1329Dic53—21no—
1330Dic53C2×H(5,𝔽2)12yes—
1331Dic53#58512yes—
1332#3562—534no—
1333#3562—534no—
1334#3554—532no—
1335#3554—531no—
1336#3554—531no—
1337#3546—532no—
1338#3546—531no—
1339#3546D5311yescharacteristic, complemented
1340#3542—534no—
1341#3542—532no—
1342#3542—532no—
1343#3517—531no—
1344#3517—532no—
1345#3517—531no—
1346#3514—531no—
1347#3514—532no—
1348#3514—531no—
1349#3513—532no—
1350#3513—532no—
1351#3513—534no—
1352#3511—532no—
1353#3511—532no—
1354#3510—532no—
1355#3509—531no—
1356#3508—531no—
1357#3508—532no—
1358#3508—532no—
1359#3500—532no—
1360#3499—531no—
1361#3498—531no—
1362#3487—532no—
1363#3485—532no—
1364#3444—531no—
1365#3444—531no—
1366C2×#532—531no—
1367C2×C53—41no—
1368C2×C53—44no—
1369C2×C53—42no—
1370C2×C53—42no—
1371C2×C53—42no—
1372C2×C53C22×H(5,𝔽2)11yescharacteristic
1373C2×C53C2×#58511yescharacteristic
1374C2×C53C2×#58511yescharacteristic
1375D53—22no—
1376D53—41no—
1377D53—44no—
1378D53—42no—
1379C2×2−1+4—532no—
1380C2×H(5,𝔽2)—532no—
1381C22×#41—532no—
1382#562—534no—
1383#562—534no—
1384#562—534no—
1385#562—534no—
1386#560—534no—
1387#560—534no—
1388#560—534no—
1389#560C2×D5314yescomplemented
1390#559—531no—
1391#559—534no—
1392#559—534no—
1393#559—532no—
1394#559—534no—
1395#559—531no—
1396#559—532no—
1397#559—532no—
1398#557—531no—
1399#557—532no—
1400#557—531no—
1401#556—534no—
1402#556—532no—
1403#556—534no—
1404#556—531no—
1405#556C2×D5311yescharacteristic, complemented
1406#555—532no—
1407#555—534no—
1408#555—532no—
1409#554—532no—
1410#554—534no—
1411#554—532no—
1412#553—534no—
1413#553—534no—
1414#553—534no—
1415#553—534no—
1416#553—532no—
1417#553—534no—
1418#553—532no—
1419#553—534no—
1420#553—532no—
1421#553C2×D5312yescomplemented
1422#552—534no—
1423#552—532no—
1424#552—532no—
1425#551—534no—
1426#551—534no—
1427#551—534no—
1428#551—534no—
1429#551—534no—
1430#551—534no—
1431#551—534no—
1432#551—534no—
1433#550—532no—
1434#550—532no—
1435#550—534no—
1436#550—532no—
1437#550—531no—
1438#550—534no—
1439#550—532no—
1440#550—534no—
1441#550—532no—
1442#550—532no—
1443#550—532no—
1444#550—531no—
1445#550—531no—
1446#550C2×D5312yescomplemented
1447#550C2×D5311yescharacteristic, complemented
1448D4×Q8—531no—
1449D4×Q8—532no—
1450D4×Q8—531no—
1451#548—532no—
1452#548—534no—
1453#548—532no—
1454#548—534no—
1455#548—534no—
1456#548—532no—
1457#548—534no—
1458#548—532no—
1459#547—532no—
1460#547—532no—
1461#547—534no—
1462#547—534no—
1463#547—532no—
1464#547—534no—
1465#547—532no—
1466#547—532no—
1467#547—531no—
1468#547—532no—
1469#547—532no—
1470#547C2×D5311yescharacteristic, complemented
1471#546—532no—
1472#546—532no—
1473#546—532no—
1474#546—532no—
1475#546—532no—
1476#546—532no—
1477#546—534no—
1478#546—534no—
1479#546—532no—
1480#546—534no—
1481#546—534no—
1482#546—534no—
1483#546—534no—
1484#546—534no—
1485#546—534no—
1486#546—534no—
1487#546—534no—
1488#546—532no—
1489#546—534no—
1490#546C2×D5312yescomplemented
1491#546C2×D5312yescomplemented
1492D42—532no—
1493D42—532no—
1494D42—532no—
1495D42—534no—
1496D42—531no—
1497D42C2×D5311yescharacteristic, complemented
1498#542—532no—
1499#542—534no—
1500#542—532no—
1501#542—534no—
1502#542—532no—
1503#542—532no—
1504#542—532no—
1505#542—532no—
1506#542—532no—
1507#542C2×D5312yescomplemented
1508#541—534no—
1509#540—534no—
1510#540—534no—
1511#540—534no—
1512#540—534no—
1513#540—532no—
1514#540—532no—
1515#540—532no—
1516#540—532no—
1517#540—534no—
1518#540—534no—
1519#540—534no—
1520#539—534no—
1521#539—534no—
1522#539—534no—
1523#539—534no—
1524#538—534no—
1525#538—534no—
1526#538—534no—
1527#538—534no—
1528#538—534no—
1529#538—534no—
1530#538—534no—
1531#538C2×D5314yescomplemented
1532#537—532no—
1533#537—534no—
1534#537C2×D5312yescomplemented
1535#536—532no—
1536#536—532no—
1537#536—534no—
1538#536—532no—
1539#536—532no—
1540#535—532no—
1541#535—532no—
1542#535—534no—
1543#535—532no—
1544#535—532no—
1545#535—534no—
1546#535—534no—
1547#535—534no—
1548#535C2×D5312yescomplemented
1549#535C2×D5312yescomplemented
1550#534—534no—
1551#534—534no—
1552#533—531no—
1553#533—531no—
1554#533—531no—
1555#533—531no—
1556#533—532no—
1557#533—531no—
1558#533—532no—
1559#533—531no—
1560#532—532no—
1561#532—532no—
1562#532—532no—
1563#532—531no—
1564#532—531no—
1565#532—531no—
1566#532—531no—
1567#532—532no—
1568#532—532no—
1569#532—531no—
1570#532—532no—
1571#532—532no—
1572#532—531no—
1573#532—532no—
1574#532—532no—
1575#532—532no—
1576#532—532no—
1577#532—532no—
1578#532—531no—
1579#532—531no—
1580#532C2×D5311yescharacteristic, complemented
1581#532C2×D5311yescharacteristic, complemented
1582C2×C4⋊Q8—531no—
1583C2×C4⋊Q8—532no—
1584C2×#127—532no—
1585C2×#127—531no—
1586#529—532no—
1587#529—532no—
1588#529—531no—
1589#529—532no—
1590#529—531no—
1591#529—532no—
1592#529—532no—
1593#529—532no—
1594#529—531no—
1595#529—531no—
1596#529—532no—
1597#529—532no—
1598#529—532no—
1599#529—532no—
1600#529—531no—
1601#529—531no—
1602#529—532no—
1603#529—532no—
1604#529—531no—
1605#529C2×D5311yescharacteristic, complemented
1606C2×#124—532no—
1607C2×#124—532no—
1608C2×#124—532no—
1609#525—532no—
1610#525—532no—
1611#525—531no—
1612#525—531no—
1613#525—531no—
1614#525—532no—
1615#525—531no—
1616#525—534no—
1617#525—532no—
1618#525—534no—
1619C2×#123—534no—
1620C2×#123—534no—
1621C2×#121—532no—
1622C2×#121—532no—
1623#520—532no—
1624#520—534no—
1625#520—532no—
1626#519—532no—
1627#518—532no—
1628#518—532no—
1629#518—532no—
1630#518—534no—
1631C4×#41—532no—
1632C4×#41—531no—
1633C4×#41—531no—
1634C4×#41—531no—
1635C4×#41—532no—
1636C4×#41—531no—
1637C4×#41—532no—
1638C4×#41—532no—
1639C2×C4×D4—532no—
1640C2×C4×D4—532no—
1641C22×C42—531no—
1642C53#6283611yescharacteristic, complemented, Sylow
16432−1+4—2128no—
1644H(5,𝔽2)—2128no—
1645C2×#41—531no—
1646C2×#41—532no—
1647C2×#41—531no—
1648C2×#41—531no—
1649C2×#41—532no—
1650C2×#41—532no—
1651C2×#41—531no—
1652C2×#41—534no—
1653C2×#41—534no—
1654C2×#41—534no—
1655C2×#41—532no—
1656C2×#41—534no—
1657C2×#41—532no—
1658C2×#41—534no—
1659C2×#41—532no—
1660C2×#41—532no—
1661C2×#41—532no—
1662C2×#41—534no—
1663C2×#41—534no—
1664C2×#41—532no—
1665C2×#41—532no—
1666C2×#41—2128no—
1667C2×#41C22×D5312yes—
1668C2×#41C22×D5312yes—
1669C2×#41C22×D5312yes—
1670C2×#41C22×D5312yes—
1671C22×Q8—532no—
1672C22×Q8—532no—
1673C22×Q8—532no—
1674C22×Q8—534no—
1675C22×D4—534no—
1676C22×D4—534no—
1677C22×D4—534no—
1678C22×D4—532no—
1679C22×D4—532no—
1680C22×D4—532no—
1681C22×D4—534no—
1682C22×D4—534no—
1683C22×D4—532no—
1684C22×D4—532no—
1685C22×D4C22×D5312yes—
1686C22×D4C22×D5312yes—
1687C23×C4—531no—
1688C23×C4—534no—
1689C23×C4—531no—
1690C23×C4—531no—
1691C4⋊Q8—532no—
1692C4⋊Q8—531no—
1693C4⋊Q8—532no—
1694C4⋊Q8—532no—
1695C4⋊Q8—531no—
1696C4⋊Q8—532no—
1697C4⋊Q8—534no—
1698C4⋊Q8—534no—
1699C4⋊Q8—532no—
1700C4⋊Q8—532no—
1701C4⋊Q8—531no—
1702C4⋊Q8—531no—
1703C4⋊Q8—531no—
1704C4⋊Q8—531no—
1705C4⋊Q8—532no—
1706C4⋊Q8C22×D5311yescharacteristic
1707C4⋊Q8C22×D5311yescharacteristic
1708#127—532no—
1709#127—531no—
1710#127—532no—
1711#127—532no—
1712#127—534no—
1713#127—534no—
1714#127—532no—
1715#127—532no—
1716#127—532no—
1717#127—534no—
1718#127—534no—
1719#127—534no—
1720#127—531no—
1721#127C22×D5311yescharacteristic
1722#127C22×D5311yescharacteristic
1723#127C22×D5312yes—
1724#127C22×D5314yes—
1725#126—532no—
1726#126—534no—
1727#126—534no—
1728#126—534no—
1729#126—534no—
1730#126—532no—
1731#126—532no—
1732#126—532no—
1733#126—532no—
1734#126—532no—
1735#126—534no—
1736#126—534no—
1737#126—534no—
1738#126—534no—
1739#126—534no—
1740#126—534no—
1741#126—532no—
1742#126C22×D5312yes—
1743#126C22×D5314yes—
1744#126C22×D5314yes—
1745#125—531no—
1746#125—531no—
1747#125—532no—
1748#125—532no—
1749#125—532no—
1750#125—534no—
1751#125—532no—
1752#125—532no—
1753#125—534no—
1754#125—534no—
1755#125—534no—
1756#125—532no—
1757#125—531no—
1758#125—534no—
1759#125C22×D5311yescharacteristic
1760#124—532no—
1761#124—532no—
1762#124—534no—
1763#124—531no—
1764#124—532no—
1765#124—532no—
1766#124—532no—
1767#124—534no—
1768#124—534no—
1769#124—531no—
1770#124—532no—
1771#124—532no—
1772#124—534no—
1773#124—534no—
1774#124—534no—
1775#124—534no—
1776#124—534no—
1777#124—532no—
1778#124—532no—
1779#124—534no—
1780#124—534no—
1781#124—534no—
1782#124—534no—
1783#124—534no—
1784#124—534no—
1785#124—534no—
1786#124—532no—
1787#124—532no—
1788#124—531no—
1789#124—534no—
1790#124C22×D5312yes—
1791#124C22×D5312yes—
1792#124C22×D5312yes—
1793#124C22×D5311yescharacteristic
1794#124C22×D5314yes—
1795#123—534no—
1796#123—532no—
1797#123—532no—
1798#123—534no—
1799#123—534no—
1800#123—534no—
1801#123—534no—
1802#123—534no—
1803#123—532no—
1804#123—534no—
1805#123—534no—
1806#123—532no—
1807#123—534no—
1808#123—532no—
1809#123—534no—
1810#123—534no—
1811#123—534no—
1812#123—534no—
1813#123—532no—
1814#123—532no—
1815#123—534no—
1816#123—534no—
1817#123—534no—
1818#123—534no—
1819#123—534no—
1820#123—534no—
1821#123—534no—
1822#123—534no—
1823#123—532no—
1824#123—532no—
1825#123—532no—
1826#123—532no—
1827#123—534no—
1828#123—534no—
1829#123—534no—
1830#123—534no—
1831#123—534no—
1832#123—534no—
1833#123—534no—
1834#123—534no—
1835#123—534no—
1836#123—534no—
1837#123—534no—
1838#123—534no—
1839#123C22×D5314yes—
1840#123C22×D5312yes—
1841#123C22×D5314yes—
1842#123C22×D5314yes—
1843C22⋊Q8—531no—
1844C22⋊Q8—532no—
1845C22⋊Q8—532no—
1846C22⋊Q8—532no—
1847C22⋊Q8—534no—
1848C22⋊Q8—531no—
1849C22⋊Q8—531no—
1850C22⋊Q8—531no—
1851C22⋊Q8—532no—
1852C22⋊Q8—534no—
1853C22⋊Q8—532no—
1854C22⋊Q8—532no—
1855C22⋊Q8—532no—
1856C22⋊Q8—532no—
1857C22⋊Q8—531no—
1858C22⋊Q8—531no—
1859C22⋊Q8—532no—
1860C22⋊Q8—531no—
1861C22⋊Q8—532no—
1862C22⋊Q8—534no—
1863C22⋊Q8—534no—
1864C22⋊Q8—532no—
1865C22⋊Q8—534no—
1866C22⋊Q8—534no—
1867C22⋊Q8—534no—
1868C22⋊Q8—534no—
1869C22⋊Q8—534no—
1870C22⋊Q8—532no—
1871C22⋊Q8—534no—
1872C22⋊Q8—534no—
1873C22⋊Q8—534no—
1874C22⋊Q8—534no—
1875C22⋊Q8—534no—
1876C22⋊Q8—534no—
1877C22⋊Q8—534no—
1878C22⋊Q8—534no—
1879C22⋊Q8—534no—
1880C22⋊Q8C22×D5311yescharacteristic
1881C22⋊Q8C22×D5312yes—
1882C22⋊Q8C22×D5312yes—
1883C22⋊Q8C22×D5314yes—
1884#121—532no—
1885#121—534no—
1886#121—532no—
1887#121—534no—
1888#121—531no—
1889#121—531no—
1890#121—532no—
1891#121—532no—
1892#121—532no—
1893#121—531no—
1894#121—532no—
1895#121—534no—
1896#121—534no—
1897#121—532no—
1898#121—534no—
1899#121—534no—
1900#121—534no—
1901#121—534no—
1902#121—534no—
1903#121—534no—
1904#121—534no—
1905#121—534no—
1906#121—534no—
1907#121—534no—
1908#121—534no—
1909#121—534no—
1910#121—534no—
1911#121—534no—
1912#121—534no—
1913#121—534no—
1914#121—534no—
1915#121—534no—
1916#121—534no—
1917#121—534no—
1918#121—534no—
1919#121—534no—
1920#121—534no—
1921#121—534no—
1922#121—532no—
1923#121—532no—
1924#121—531no—
1925#121—532no—
1926#121—532no—
1927#121—532no—
1928#121—532no—
1929#121—534no—
1930#121—534no—
1931#121—532no—
1932#121—532no—
1933#121—531no—
1934#121—532no—
1935#121—534no—
1936#121—534no—
1937#121—534no—
1938#121—532no—
1939#121—532no—
1940#121—532no—
1941#121—534no—
1942#121—534no—
1943#121—534no—
1944#121—534no—
1945#121—534no—
1946#121—534no—
1947#121C22×D5312yes—
1948#121C22×D5312yes—
1949#121C22×D5311yescharacteristic
1950#121C22×D5311yescharacteristic
1951#121C22×D5312yes—
1952#121C22×D5311yescharacteristic
1953#121C22×D5314yes—
1954#121C22×D5312yes—
1955#121C22×D5312yes—
1956#121C22×D5312yes—
1957#121C22×D5312yes—
1958#121C22×D5314yes—
1959#121C22×D5314yes—
1960#121C22×D5314yes—
1961#121C22×D5314yes—
1962#121C22×D5314yes—
1963#120—534no—
1964#120—534no—
1965#120—532no—
1966#120—532no—
1967#120—532no—
1968#120—534no—
1969#120—534no—
1970#120—534no—
1971#120—534no—
1972#120—534no—
1973#120—534no—
1974#120—534no—
1975#120—532no—
1976#120—534no—
1977#120—534no—
1978#120—534no—
1979#120C22×D5314yes—
1980#120C22×D5314yes—
1981#120C22×D5314yes—
1982#120C22×D5314yes—
1983C4×Q8—531no—
1984C4×Q8—532no—
1985C4×Q8—532no—
1986C4×Q8—532no—
1987C4×Q8—532no—
1988C4×Q8—532no—
1989C4×Q8—531no—
1990C4×Q8—532no—
1991C4×Q8—532no—
1992C4×Q8—531no—
1993C4×Q8—531no—
1994C4×Q8—532no—
1995C4×Q8—532no—
1996C4×Q8—534no—
1997C4×Q8—532no—
1998C4×Q8—531no—
1999C4×Q8—531no—
2000C4×Q8—532no—
2001C4×Q8—531no—
2002C4×Q8—532no—
2003C4×Q8—532no—
2004C4×Q8—534no—
2005C4×Q8—534no—
2006C4×Q8C22×D5311yescharacteristic
2007C4×Q8C22×D5312yes—
2008C4×D4—532no—
2009C4×D4—532no—
2010C4×D4—531no—
2011C4×D4—532no—
2012C4×D4—532no—
2013C4×D4—532no—
2014C4×D4—532no—
2015C4×D4—532no—
2016C4×D4—531no—
2017C4×D4—532no—
2018C4×D4—532no—
2019C4×D4—532no—
2020C4×D4—531no—
2021C4×D4—534no—
2022C4×D4—534no—
2023C4×D4—532no—
2024C4×D4—532no—
2025C4×D4—532no—
2026C4×D4—534no—
2027C4×D4—534no—
2028C4×D4—534no—
2029C4×D4—532no—
2030C4×D4—534no—
2031C4×D4—534no—
2032C4×D4—532no—
2033C4×D4—532no—
2034C4×D4—532no—
2035C4×D4—532no—
2036C4×D4—532no—
2037C4×D4—532no—
2038C4×D4—532no—
2039C4×D4—534no—
2040C4×D4—534no—
2041C4×D4—534no—
2042C4×D4—534no—
2043C4×D4—534no—
2044C4×D4—534no—
2045C4×D4—534no—
2046C4×D4—532no—
2047C4×D4—532no—
2048C4×D4—531no—
2049C4×D4—532no—
2050C4×D4—532no—
2051C4×D4—532no—
2052C4×D4—532no—
2053C4×D4—532no—
2054C4×D4—532no—
2055C4×D4—532no—
2056C4×D4—534no—
2057C4×D4—534no—
2058C4×D4—532no—
2059C4×D4—532no—
2060C4×D4—532no—
2061C4×D4—532no—
2062C4×D4—532no—
2063C4×D4—532no—
2064C4×D4—532no—
2065C4×D4—532no—
2066C4×D4—532no—
2067C4×D4—532no—
2068C4×D4—532no—
2069C4×D4—534no—
2070C4×D4—534no—
2071C4×D4—534no—
2072C4×D4—534no—
2073C4×D4—534no—
2074C4×D4—534no—
2075C4×D4—532no—
2076C4×D4—532no—
2077C4×D4—532no—
2078C4×D4—531no—
2079C4×D4—534no—
2080C4×D4—534no—
2081C4×D4—532no—
2082C4×D4C22×D5312yes—
2083C4×D4C22×D5312yes—
2084C4×D4C22×D5312yes—
2085C4×D4C22×D5311yescharacteristic
2086C4×D4C22×D5312yes—
2087C4×D4C22×D5311yescharacteristic
2088C4×D4C22×D5311yescharacteristic
2089C4×D4C22×D5312yes—
2090C4×D4C22×D5314yes—
2091#117—532no—
2092#117—532no—
2093#117—532no—
2094#117—532no—
2095#117—534no—
2096#117—531no—
2097#117—531no—
2098#117—532no—
2099#117—531no—
2100#117—531no—
2101#117—532no—
2102#117—532no—
2103#117—534no—
2104#117—534no—
2105#117—532no—
2106#117—532no—
2107#117—532no—
2108#117—532no—
2109#117—532no—
2110#117—532no—
2111#117—532no—
2112#117—534no—
2113#117—534no—
2114#117—532no—
2115#117—532no—
2116#117—534no—
2117#117—534no—
2118#117C22×D5312yes—
2119#117C22×D5312yes—
2120C2×C4⋊C4—534no—
2121C2×C4⋊C4—534no—
2122C2×C4⋊C4—534no—
2123C2×C4⋊C4—532no—
2124C2×C4⋊C4—532no—
2125C2×C4⋊C4—532no—
2126C2×C4⋊C4—534no—
2127C2×C4⋊C4—534no—
2128C2×C4⋊C4C22×D5312yes—
2129C2×C22⋊C4—534no—
2130C2×C22⋊C4—534no—
2131C2×C22⋊C4—534no—
2132C2×C22⋊C4—534no—
2133C2×C22⋊C4—534no—
2134C2×C22⋊C4—534no—
2135C2×C22⋊C4—534no—
2136C2×C22⋊C4—534no—
2137C2×C22⋊C4—534no—
2138C2×C22⋊C4—534no—
2139C2×C22⋊C4—534no—
2140C2×C22⋊C4C22×D5314yes—
2141C2×C42—532no—
2142C2×C42—532no—
2143C2×C42—532no—
2144C2×C42—531no—
2145C2×C42—531no—
2146C2×C42—531no—
2147C2×C42—531no—
2148C2×C42—531no—
2149C2×C42—532no—
2150C2×C42—531no—
2151C2×C42—531no—
2152C2×C42—531no—
2153C2×C42—531no—
2154C2×C42—531no—
2155C2×C42—531no—
2156C2×C42C22×D5311yescharacteristic
2157C24—534no—
2158C24—531no—
2159C24—534no—
2160C24C23×D5314yes—
2161#41—44no—
2162#41—44no—
2163#41—44no—
2164#41—44no—
2165#41—1068no—
2166#41—1064no—
2167#41—1064no—
2168#41—2124no—
2169#41—2124no—
2170#41—2124no—
2171#41—2128no—
2172#41—2128no—
2173#41—2124no—
2174#41—2122no—
2175#41—2124no—
2176#41—2124no—
2177#41—2124no—
2178#41—2128no—
2179#41—2124no—
2180#41—2128no—
2181#41—2128no—
2182#41—2128no—
2183#41—2128no—
2184#41—2122no—
2185#41—2124no—
2186C2×Q8—532no—
2187C2×Q8—531no—
2188C2×Q8—531no—
2189C2×Q8—532no—
2190C2×Q8—534no—
2191C2×Q8—532no—
2192C2×Q8—531no—
2193C2×Q8—532no—
2194C2×Q8—534no—
2195C2×Q8—534no—
2196C2×Q8—1068no—
2197C2×Q8—2124no—
2198C2×Q8—2128no—
2199C2×Q8—2124no—
2200C2×Q8C23×D5311yescharacteristic
2201C2×Q8C23×D5312yes—
2202C2×Q8C23×D5312yes—
2203C2×D4—44no—
2204C2×D4—44no—
2205C2×D4—534no—
2206C2×D4—532no—
2207C2×D4—532no—
2208C2×D4—532no—
2209C2×D4—532no—
2210C2×D4—534no—
2211C2×D4—532no—
2212C2×D4—532no—
2213C2×D4—532no—
2214C2×D4—532no—
2215C2×D4—534no—
2216C2×D4—534no—
2217C2×D4—534no—
2218C2×D4—534no—
2219C2×D4—534no—
2220C2×D4—532no—
2221C2×D4—534no—
2222C2×D4—534no—
2223C2×D4—534no—
2224C2×D4—534no—
2225C2×D4—534no—
2226C2×D4—534no—
2227C2×D4—531no—
2228C2×D4—532no—
2229C2×D4—532no—
2230C2×D4—532no—
2231C2×D4—532no—
2232C2×D4—532no—
2233C2×D4—534no—
2234C2×D4—534no—
2235C2×D4—1068no—
2236C2×D4—2124no—
2237C2×D4—2124no—
2238C2×D4—2124no—
2239C2×D4—2124no—
2240C2×D4—2128no—
2241C2×D4—2128no—
2242C2×D4—2128no—
2243C2×D4—2128no—
2244C2×D4—2128no—
2245C2×D4C23×D5312yes—
2246C2×D4C23×D5311yescharacteristic
2247C2×D4C23×D5311yescharacteristic
2248C2×D4C23×D5312yes—
2249C2×D4C23×D5311yescharacteristic
2250C2×D4C23×D5312yes—
2251C2×D4C23×D5312yes—
2252C2×D4C23×D5314yes—
2253C2×D4C23×D5314yes—
2254C2×D4C23×D5312yes—
2255C2×D4C23×D5312yes—
2256C2×D4C23×D5312yes—
2257C2×D4C23×D5314yes—
2258C2×D4C23×D5312yes—
2259C2×D4C23×D5314yes—
2260C2×D4C23×D5314yes—
2261C2×D4C23×D5314yes—
2262C22×C4—531no—
2263C22×C4—531no—
2264C22×C4—531no—
2265C22×C4—532no—
2266C22×C4—532no—
2267C22×C4—532no—
2268C22×C4—532no—
2269C22×C4—531no—
2270C22×C4—532no—
2271C22×C4—532no—
2272C22×C4—534no—
2273C22×C4—534no—
2274C22×C4—534no—
2275C22×C4—534no—
2276C22×C4—534no—
2277C22×C4—531no—
2278C22×C4—531no—
2279C22×C4—531no—
2280C22×C4—531no—
2281C22×C4—531no—
2282C22×C4—531no—
2283C22×C4—531no—
2284C22×C4—532no—
2285C22×C4—534no—
2286C22×C4—531no—
2287C22×C4—531no—
2288C22×C4—531no—
2289C22×C4—531no—
2290C22×C4—532no—
2291C22×C4—532no—
2292C22×C4—534no—
2293C22×C4—534no—
2294C22×C4—534no—
2295C22×C4—534no—
2296C22×C4—534no—
2297C22×C4—534no—
2298C22×C4—1064no—
2299C22×C4—2122no—
2300C22×C4—2122no—
2301C22×C4—2128no—
2302C22×C4C23×D5311yescharacteristic
2303C22×C4C23×D5311yescharacteristic
2304C22×C4C23×D5312yes—
2305C22×C4C23×D5312yes—
2306C22×C4C23×D5312yes—
2307C22×C4C23×D5311yescharacteristic
2308C22×C4C23×D5314yes—
2309C22×C4C23×D5314yes—
2310C22×C4C23×D5314yes—
2311C4⋊C4—532no—
2312C4⋊C4—532no—
2313C4⋊C4—532no—
2314C4⋊C4—534no—
2315C4⋊C4—531no—
2316C4⋊C4—532no—
2317C4⋊C4—532no—
2318C4⋊C4—532no—
2319C4⋊C4—532no—
2320C4⋊C4—534no—
2321C4⋊C4—534no—
2322C4⋊C4—534no—
2323C4⋊C4—534no—
2324C4⋊C4—532no—
2325C4⋊C4—534no—
2326C4⋊C4—534no—
2327C4⋊C4—534no—
2328C4⋊C4—534no—
2329C4⋊C4—532no—
2330C4⋊C4—532no—
2331C4⋊C4—532no—
2332C4⋊C4—531no—
2333C4⋊C4—531no—
2334C4⋊C4—532no—
2335C4⋊C4—532no—
2336C4⋊C4—532no—
2337C4⋊C4—532no—
2338C4⋊C4—532no—
2339C4⋊C4—532no—
2340C4⋊C4—531no—
2341C4⋊C4—532no—
2342C4⋊C4—532no—
2343C4⋊C4—532no—
2344C4⋊C4—532no—
2345C4⋊C4—532no—
2346C4⋊C4—532no—
2347C4⋊C4—532no—
2348C4⋊C4—532no—
2349C4⋊C4—532no—
2350C4⋊C4—532no—
2351C4⋊C4—532no—
2352C4⋊C4—532no—
2353C4⋊C4—534no—
2354C4⋊C4—534no—
2355C4⋊C4—534no—
2356C4⋊C4C23×D5312yes—
2357C4⋊C4C23×D5314yes—
2358C4⋊C4C23×D5312yes—
2359C4⋊C4C23×D5312yes—
2360C4⋊C4C23×D5311yescharacteristic
2361C4⋊C4C23×D5311yescharacteristic
2362C4⋊C4C23×D5311yescharacteristic
2363C4⋊C4C23×D5312yes—
2364C4⋊C4C23×D5311yescharacteristic
2365C4⋊C4C23×D5312yes—
2366C4⋊C4C23×D5314yes—
2367C4⋊C4C23×D5312yes—
2368C4⋊C4C23×D5312yes—
2369C22⋊C4—532no—
2370C22⋊C4—532no—
2371C22⋊C4—532no—
2372C22⋊C4—532no—
2373C22⋊C4—534no—
2374C22⋊C4—534no—
2375C22⋊C4—534no—
2376C22⋊C4—534no—
2377C22⋊C4—534no—
2378C22⋊C4—534no—
2379C22⋊C4—534no—
2380C22⋊C4—534no—
2381C22⋊C4—532no—
2382C22⋊C4—532no—
2383C22⋊C4—532no—
2384C22⋊C4—532no—
2385C22⋊C4—534no—
2386C22⋊C4—532no—
2387C22⋊C4—532no—
2388C22⋊C4—532no—
2389C22⋊C4—532no—
2390C22⋊C4—532no—
2391C22⋊C4—532no—
2392C22⋊C4—532no—
2393C22⋊C4—532no—
2394C22⋊C4—532no—
2395C22⋊C4—532no—
2396C22⋊C4—534no—
2397C22⋊C4—534no—
2398C22⋊C4—534no—
2399C22⋊C4—534no—
2400C22⋊C4—534no—
2401C22⋊C4—534no—
2402C22⋊C4—534no—
2403C22⋊C4—534no—
2404C22⋊C4—534no—
2405C22⋊C4—534no—
2406C22⋊C4—532no—
2407C22⋊C4—534no—
2408C22⋊C4—534no—
2409C22⋊C4—532no—
2410C22⋊C4—532no—
2411C22⋊C4—532no—
2412C22⋊C4—532no—
2413C22⋊C4—532no—
2414C22⋊C4—532no—
2415C22⋊C4—532no—
2416C22⋊C4—532no—
2417C22⋊C4C23×D5312yes—
2418C22⋊C4C23×D5314yes—
2419C22⋊C4C23×D5314yes—
2420C22⋊C4C23×D5314yes—
2421C22⋊C4C23×D5314yes—
2422C22⋊C4C23×D5314yes—
2423C22⋊C4C23×D5312yes—
2424C22⋊C4C23×D5314yes—
2425C22⋊C4C23×D5312yes—
2426C22⋊C4C23×D5312yes—
2427C22⋊C4C23×D5314yes—
2428C22⋊C4C23×D5312yes—
2429C22⋊C4C23×D5312yes—
2430C22⋊C4C23×D5312yes—
2431C22⋊C4C23×D5312yes—
2432C22⋊C4C23×D5312yes—
2433C42—531no—
2434C42—531no—
2435C42—531no—
2436C42—531no—
2437C42—531no—
2438C42—531no—
2439C42—531no—
2440C42—531no—
2441C42—531no—
2442C42—531no—
2443C42—531no—
2444C42—531no—
2445C42—532no—
2446C42—532no—
2447C42—532no—
2448C42—532no—
2449C42—532no—
2450C42—532no—
2451C42—532no—
2452C42—532no—
2453C42—532no—
2454C42—532no—
2455C42—532no—
2456C42—534no—
2457C42—534no—
2458C42—534no—
2459C42C23×D5311yescharacteristic
2460C42C23×D5311yescharacteristic
2461C42C23×D5311yescharacteristic
2462C42C23×D5311yescharacteristic
2463C42C23×D5312yes—
2464C42C23×D5314yes—
2465C23—44no—
2466C23—44no—
2467C23—44no—
2468C23—531no—
2469C23—532no—
2470C23—534no—
2471C23—531no—
2472C23—1068no—
2473C23—1062no—
2474C23—2124no—
2475C23—2124no—
2476C23—2124no—
2477C23—2124no—
2478C23—2124no—
2479C23—2121no—
2480C23—2121no—
2481C23C24×D5312yes—
2482C23C24×D5314yes—
2483C23C24×D5311yescharacteristic
2484C23C24×D5312yes—
2485C23C24×D5312yes—
2486Q8—24no—
2487Q8—22no—
2488Q8—42no—
2489Q8—1068no—
2490Q8—1064no—
2491Q8—1064no—
2492Q8—1064no—
2493Q8—1062no—
2494Q8—1062no—
2495Q8—1062no—
2496Q8—2124no—
2497Q8—2124no—
2498Q8—2122no—
2499D4—22no—
2500D4—24no—
2501D4—22no—
2502D4—22no—
2503D4—24no—
2504D4—44no—
2505D4—44no—
2506D4—42no—
2507D4—44no—
2508D4—42no—
2509D4—42no—
2510D4—42no—
2511D4—44no—
2512D4—44no—
2513D4—42no—
2514D4—42no—
2515D4—44no—
2516D4—1064no—
2517D4—1068no—
2518D4—1064no—
2519D4—1068no—
2520D4—1064no—
2521D4—1064no—
2522D4—1064no—
2523D4—1064no—
2524D4—1064no—
2525D4—1062no—
2526D4—1064no—
2527D4—2122no—
2528D4—2124no—
2529D4—2124no—
2530D4—2122no—
2531D4—2124no—
2532D4—2124no—
2533D4—2124no—
2534D4—2124no—
2535D4—2124no—
2536D4—2124no—
2537D4—2124no—
2538D4—2124no—
2539D4—2122no—
2540D4—2122no—
2541D4—2122no—
2542D4—2124no—
2543D4—2124no—
2544D4—2122no—
2545D4—2124no—
2546C2×C4—22no—
2547C2×C4—24no—
2548C2×C4—22no—
2549C2×C4—24no—
2550C2×C4—24no—
2551C2×C4—41no—
2552C2×C4—44no—
2553C2×C4—44no—
2554C2×C4—44no—
2555C2×C4—531no—
2556C2×C4—531no—
2557C2×C4—534no—
2558C2×C4—531no—
2559C2×C4—531no—
2560C2×C4—532no—
2561C2×C4—532no—
2562C2×C4—532no—
2563C2×C4—531no—
2564C2×C4—531no—
2565C2×C4—532no—
2566C2×C4—532no—
2567C2×C4—532no—
2568C2×C4—534no—
2569C2×C4—532no—
2570C2×C4—1062no—
2571C2×C4—1062no—
2572C2×C4—1062no—
2573C2×C4—1062no—
2574C2×C4—1068no—
2575C2×C4—1062no—
2576C2×C4—1062no—
2577C2×C4—1064no—
2578C2×C4—1064no—
2579C2×C4—1064no—
2580C2×C4—1064no—
2581C2×C4—1062no—
2582C2×C4—1064no—
2583C2×C4—1062no—
2584C2×C4—1062no—
2585C2×C4—2121no—
2586C2×C4—2121no—
2587C2×C4—2121no—
2588C2×C4—2121no—
2589C2×C4—2124no—
2590C2×C4—2124no—
2591C2×C4—2124no—
2592C2×C4—2124no—
2593C2×C4—2122no—
2594C2×C4—2124no—
2595C2×C4—2124no—
2596C2×C4—2122no—
2597C2×C4—2121no—
2598C2×C4—2124no—
2599C2×C4—2124no—
2600C2×C4—2124no—
2601C2×C4—2124no—
2602C2×C4—2122no—
2603C2×C4—2124no—
2604C2×C4—2122no—
2605C2×C4C24×D5312yes—
2606C2×C4C24×D5312yes—
2607C2×C4C24×D5311yescharacteristic
2608C2×C4C24×D5311yescharacteristic
2609C2×C4C24×D5311yescharacteristic
2610C2×C4C24×D5311yescharacteristic
2611C2×C4C24×D5312yes—
2612C2×C4C24×D5312yes—
2613C2×C4C24×D5312yes—
2614C2×C4C24×D5314yes—
2615C2×C4C24×D5311yescharacteristic
2616C2×C4C24×D5311yescharacteristic
2617C22—21no—
2618C22—22no—
2619C22—22no—
2620C22—24no—
2621C22—22no—
2622C22—21no—
2623C22—22no—
2624C22—22no—
2625C22—24no—
2626C22—22no—
2627C22—21no—
2628C22—22no—
2629C22—22no—
2630C22—24no—
2631C22—22no—
2632C22—164no—
2633C22—532no—
2634C22—8484no—
2635C22—1061no—
2636C22—1061no—
2637C22—1061no—
2638C22—1062no—
2639C22—1064no—
2640C22—1061no—
2641C22—1062no—
2642C22—1064no—
2643C22—1061no—
2644C22—1062no—
2645C22—1064no—
2646C22—4248no—
2647C22—2124no—
2648C22C25×D5311yescharacteristic
2649C4—21no—
2650C4—22no—
2651C4—24no—
2652C4—21no—
2653C4—21no—
2654C4—22no—
2655C4—22no—
2656C4—21no—
2657C4—22no—
2658C4—22no—
2659C4—532no—
2660C4—532no—
2661C4—1061no—
2662C4—1062no—
2663C4—1062no—
2664C4—1062no—
2665C4—1064no—
2666C4—1061no—
2667C4—1062no—
2668C4—1062no—
2669C4—1062no—
2670C4—1061no—
2671C4—1061no—
2672C4—1062no—
2673C4H(5,𝔽2)×D5312yes—
2674C4#1681145812yes—
2675C2—42no—
2676C2—42no—
2677C2—44no—
2678C2—41no—
2679C2—42no—
2680C2—1062no—
2681C2—2122no—
2682C2—2124no—
2683C2—2121no—
2684C2C2×H(5,𝔽2)×D5311yescharacteristic
2685C2#585×D5311yescharacteristic
2686C2C2×#1681145811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3546C2
hypercenter#3546D53
hypocenterC53#62836
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #20289292C2semidirect
2. #20289290C2semidirect
3. #20289188C2semidirect
4. #20289183C2semidirect
5. #20289180C2semidirect
6. #20289087C2semidirect
7. #20289076C2semidirect
8. #20289033C2semidirect
9. #20289020C2semidirect
10. #20289019C2semidirect
11. #20288720C2semidirect
12. #20288718C2semidirect
13. #20288716C2semidirect
14. #20288679C2semidirect
15. #20288673C2semidirect
16. #20288667C2semidirect
17. #20288662C2semidirect
18. #20288651C2semidirect
19. #20288644C2semidirect
20. #20288624C2semidirect
21. #20288617C2semidirect
22. #20288607C2semidirect
23. #20288595C2semidirect
24. #20288590C2semidirect
25. #20288585C2semidirect
26. #20288583C2semidirect
27. #20288507C2semidirect
28. #20288494C2semidirect
29. #20288487C2semidirect
30. #20288368C2semidirect
31. #20288352C2semidirect
32. #20288010C2semidirect
33. #20288009C2semidirect
34. #532×D53C2semidirect
35. C53×#3546C2semidirect
36. C2×#13133264C22semidirect
38. C2×#41×D53C22semidirect
39. #16811370C22semidirect
40. #16811369C22semidirect
41. #16811368C22semidirect
42. #16811367C22semidirect
43. #16811362C22semidirect
44. #16811361C22semidirect
45. #16811361C22semidirect
46. #16811359C22semidirect
47. #16811358C22semidirect
48. #16811357C22semidirect
49. #16811356C22semidirect
50. #16811356C22semidirect
51. #16811355C22semidirect
52. #16811355C22semidirect
53. #16811355C22semidirect
54. #16811352C22semidirect
55. #16811351C22semidirect
56. #16811348C22semidirect
57. #16811344C22semidirect
58. #16811343C22semidirect
59. #16811342C22semidirect
60. #16811340C22semidirect
61. #16811337C22semidirect
62. #16811337C22semidirect
63. #16811336C22semidirect
64. #16811332C22semidirect
65. #16811331C22semidirect
66. #16811329C22semidirect
67. #16811325C22semidirect
68. #16811325C22semidirect
69. #16811323C22semidirect
70. #16811321C22semidirect
71. #16811319C22semidirect
72. #16811318C22semidirect
73. #16811316C22semidirect
74. #16811316C22semidirect
75. #16811316C22semidirect
76. #16811312C22semidirect
77. #16811309C22semidirect
78. #16811307C22semidirect
79. #16811304C22semidirect
80. #16811303C22semidirect
81. #16811301C22semidirect
82. #16811300C22semidirect
83. #16811299C22semidirect
84. #16811298C22semidirect
85. #16811298C22semidirect
86. #16811296C22semidirect
87. #16811294C22semidirect
88. #16811294C22semidirect
89. #16811293C22semidirect
90. #16811293C22semidirect
91. #16811293C22semidirect
92. #16811293C22semidirect
93. #16811293C22semidirect
94. #16811292C22semidirect
95. #16811292C22semidirect
96. #16811291C22semidirect
97. #16811291C22semidirect
98. #16811291C22semidirect
99. #16811291C22semidirect
100. D4×Dic106C22semidirect
101. #16811288C22semidirect
102. #16811286C22semidirect
103. #16811285C22semidirect
104. #16811282C22semidirect
105. #16811282C22semidirect
106. #16811280C22semidirect
107. #16811279C22semidirect
108. #16811279C22semidirect
109. #16811279C22semidirect
110. #16811279C22semidirect
111. #16811278C22semidirect
112. #16811277C22semidirect
113. #16811277C22semidirect
114. #16811275C22semidirect
115. #16811274C22semidirect
116. #16811273C22semidirect
117. #16811273C22semidirect
118. #16811272C22semidirect
119. #16811272C22semidirect
120. #16811271C22semidirect
121. #16811271C22semidirect
122. #16811270C22semidirect
123. #16811270C22semidirect
124. #16811270C22semidirect
125. #16811270C22semidirect
126. #16811269C22semidirect
127. #16811267C22semidirect
128. #16811267C22semidirect
129. #16811266C22semidirect
130. #16811264C22semidirect
131. #16811263C22semidirect
132. #16811262C22semidirect
133. #16811261C22semidirect
134. #16811260C22semidirect
135. #16811260C22semidirect
136. #16811260C22semidirect
137. #16811260C22semidirect
138. #16811260C22semidirect
139. #16811260C22semidirect
140. #16811260C22semidirect
141. D4×D212C22semidirect
144. D4×C22⋊D53C22semidirect
146. #16811247C22semidirect
147. #16811246C22semidirect
148. #16811246C22semidirect
149. #16811244C22semidirect
150. #16811242C22semidirect
151. #16811241C22semidirect
152. #16811240C22semidirect
153. #16811240C22semidirect
154. #16811239C22semidirect
155. #16811230C22semidirect
156. #16811227C22semidirect
157. #16811226C22semidirect
158. #16811226C22semidirect
159. #16811226C22semidirect
160. #16811226C22semidirect
161. #16811226C22semidirect
162. #16811225C22semidirect
163. #16811225C22semidirect
164. #16811223C22semidirect
165. #16811223C22semidirect
166. #16811223C22semidirect
167. #16811217C22semidirect
168. #16811215C22semidirect
169. #16811214C22semidirect
170. #16811214C22semidirect
171. #16811212C22semidirect
172. #16811208C22semidirect
173. #16811208C22semidirect
174. #16811208C22semidirect
175. #16811207C22semidirect
176. #16811205C22semidirect
177. #16811205C22semidirect
178. #16811201C22semidirect
179. #16811200C22semidirect
180. #16811199C22semidirect
181. #16811196C22semidirect
182. #16811195C22semidirect
184. #16811193C22semidirect
186. #16811189C22semidirect
187. #16811188C22semidirect
188. #16811188C22semidirect
189. #16811187C22semidirect
190. #16811186C22semidirect
191. #16811186C22semidirect
192. #16811186C22semidirect
193. #16811183C22semidirect
194. #16811181C22semidirect
195. #16811180C22semidirect
196. #16811179C22semidirect
197. #16811178C22semidirect
198. #16811178C22semidirect
199. #16811177C22semidirect
200. #16811176C22semidirect
201. #16811175C22semidirect
202. #16811175C22semidirect
203. #16811174C22semidirect
204. #16811173C22semidirect
205. #16811172C22semidirect
206. #16811172C22semidirect
208. #16811171C22semidirect
209. #16811171C22semidirect
210. #16811171C22semidirect
212. #16811170C22semidirect
213. #16811170C22semidirect
214. #16811169C22semidirect
215. #16811169C22semidirect
216. #16811169C22semidirect
217. #16811168C22semidirect
218. #16811168C22semidirect
219. #16811168C22semidirect
220. #16811168C22semidirect
221. #16811168C22semidirect
222. #16811168C22semidirect
223. C2×#13133216C22semidirect
224. C4⋊Q8×D53C22semidirect
225. C2×#13133213C22semidirect
227. #16811160C22semidirect
228. #16811159C22semidirect
229. #16811158C22semidirect
230. #16811157C22semidirect
231. #16811156C22semidirect
232. #16811156C22semidirect
233. #16811155C22semidirect
234. #16811155C22semidirect
235. #16811155C22semidirect
236. #16811155C22semidirect
237. #16811154C22semidirect
238. #16811154C22semidirect
239. #16811154C22semidirect
240. #16811154C22semidirect
241. #16811152C22semidirect
242. #16811152C22semidirect
243. #16811152C22semidirect
244. #16811151C22semidirect
245. #16811150C22semidirect
246. C2×#13133204C22semidirect
247. #124×D53C22semidirect
248. #124×D53C22semidirect
249. #16811136C22semidirect
251. #16811133C22semidirect
252. #16811133C22semidirect
253. #16811133C22semidirect
254. #16811133C22semidirect
255. #16811132C22semidirect
256. #16811132C22semidirect
257. #16811131C22semidirect
258. #16811130C22semidirect
259. C2×#13133199C22semidirect
260. #123×D53C22semidirect
261. #121×D53C22semidirect
262. #121×D53C22semidirect
263. #16811106C22semidirect
264. #16811104C22semidirect
265. #16811102C22semidirect
266. #16811099C22semidirect
267. #16811098C22semidirect
268. #16811097C22semidirect
269. #16811096C22semidirect
270. #16811095C22semidirect
271. #41×Dic53C22semidirect
272. C4×#11719949C22semidirect
273. #16811091C22semidirect
275. C4×#11719947C22semidirect
276. C4×#11719947C22semidirect
277. C4×#11719947C22semidirect
278. C4×#11719947C22semidirect
279. C4×D4×D53C22semidirect
280. C4×D4×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#560C22semidirect
283. C53×#556C22semidirect
284. C53×#553C22semidirect
285. C53×#550C22semidirect
286. C53×#550C22semidirect
287. C53×#547C22semidirect
288. C53×#546C22semidirect
289. C53×#546C22semidirect
290. D42×C53C22semidirect
291. C53×#542C22semidirect
292. C53×#538C22semidirect
293. C53×#537C22semidirect
294. C53×#535C22semidirect
295. C53×#535C22semidirect
296. C53×#532C22semidirect
297. C53×#532C22semidirect
298. C53×#529C22semidirect
1339. #3546D53semidirect
1389. #560C2×D53semidirect
1405. #556C2×D53semidirect
1421. #553C2×D53semidirect
1446. #550C2×D53semidirect
1447. #550C2×D53semidirect
1470. #547C2×D53semidirect
1490. #546C2×D53semidirect
1491. #546C2×D53semidirect
1497. D42C2×D53semidirect
1507. #542C2×D53semidirect
1531. #538C2×D53semidirect
1534. #537C2×D53semidirect
1548. #535C2×D53semidirect
1549. #535C2×D53semidirect
1580. #532C2×D53semidirect
1581. #532C2×D53semidirect
1605. #529C2×D53semidirect
1642. C53#62836semidirect

Maximal subgroups

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

subgroupindex
#202892922
#202892902
#202891882
#202891832
#202891802
#202890872
#202890762
#202890332
#202890202
#202890192
#202887202
#202887182
#202887162
#202886792
#202886732
#202886672
#202886622
#202886512
#202886442
#202886242
#202886172
#202886072
#202885952
#202885902
#202885852
#202885832
#202885072
#202884942
#202884872
#202883682
#202883522
#202880102
#202880092
#532×D532
C53×#35462
#6283653