Finite Group Databasebeta

← #28292856

Subgroups — #28292856

Order 13568.

6626 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289396C214yesmaximal, complemented
2#20289378C214yesmaximal, complemented
3#20289356C212yesmaximal, complemented
4#20289309C212yesmaximal, complemented
5#20289186C211yesmaximal, characteristic, complemented
6#20289098C211yesmaximal, characteristic, complemented
7#20289089C211yesmaximal, characteristic, complemented
8#20289027C212yesmaximal, complemented
9#20289014C212yesmaximal, complemented
10#20288891C214yesmaximal, complemented
11#20288827C212yesmaximal, complemented
12#20288821C212yesmaximal, complemented
13#20288808C211yesmaximal, characteristic, complemented
14#20288801C211yesmaximal, characteristic, complemented
15#20288789C214yesmaximal, complemented
16#20288788C212yesmaximal, complemented
17#20288782C212yesmaximal, complemented
18#20288763C211yesmaximal, characteristic, complemented
19#20288748C211yesmaximal, characteristic, complemented
20#20288733C211yesmaximal, characteristic, complemented
21#20288722C211yesmaximal, characteristic, complemented
22#20288696C211yesmaximal, characteristic, complemented
23#20288692C212yesmaximal, complemented
24#20288679C211yesmaximal, characteristic, complemented
25#20288679C212yesmaximal, complemented
26#20288638C212yesmaximal, complemented
27#20288607C212yesmaximal, complemented
28#20288568C212yesmaximal, complemented
29#20288555C212yesmaximal, complemented
30#20288459C212yesmaximal, complemented
31#20288453C212yesmaximal, complemented
32#20288012C211yesmaximal, characteristic, complemented
33#20288012C211yesmaximal, characteristic, complemented
34#529×D53C211yesmaximal, characteristic, complemented
35C53×#3555C211yesmaximal, characteristic, complemented
36#16811377C2214yescomplemented
37#16811371C2214yescomplemented
38#16811369C2214yescomplemented
39#16811369C2214yescomplemented
40#16811369C2214yescomplemented
41#16811364C2214yescomplemented
42#16811363C2214yescomplemented
43#16811358C2212yescomplemented
44#16811358C2211yescharacteristic, complemented
45#16811358C2214yescomplemented
46#16811358C2212yescomplemented
47#16811357C2214yescomplemented
48#16811355C2214yescomplemented
49#16811351C2211yescharacteristic, complemented
50#16811350C2212yescomplemented
51#16811347C2214yescomplemented
52#16811347C2212yescomplemented
53#16811346C2212yescomplemented
54#16811346C2211yescharacteristic, complemented
55#16811345C2212yescomplemented
56#16811344C2214yescomplemented
57#16811340C2214yescomplemented
58#16811339C2212yescomplemented
59#16811339C2214yescomplemented
60#16811339C2211yescharacteristic, complemented
61#16811336C2212yescomplemented
62#16811336C2214yescomplemented
63#16811336C2212yescomplemented
64#16811334C2212yescomplemented
65#16811334C2211yescharacteristic, complemented
66#16811333C2212yescomplemented
67#16811333C2212yescomplemented
68#16811329C2214yescomplemented
69#16811326C2212yes—
70#16811326C2214yescomplemented
71#16811326C2214yescomplemented
72#16811326C2214yescomplemented
73#16811326C2214yescomplemented
74#16811326C2212yescomplemented
75#16811326C2212yescomplemented
76#16811326C2214yescomplemented
77#16811324C2214yescomplemented
78#16811324C2214yescomplemented
79#16811324C2214yescomplemented
80#16811324C2214yescomplemented
81#16811324C2214yescomplemented
82#16811323C2212yes—
83#16811321C2212yescomplemented
84#16811317C2212yescomplemented
85#16811314C2212yescomplemented
86#16811314C2212yescomplemented
87#16811314C2214yescomplemented
88#16811312C2212yescomplemented
89#16811311C2214yescomplemented
90#16811311C2212yescomplemented
91#16811309C2214yescomplemented
92#16811308C2212yescomplemented
93#16811307C2214yescomplemented
94#16811305C2214yescomplemented
95#16811305C2214yescomplemented
96#16811305C2214yescomplemented
97#16811305C2214yescomplemented
98#16811305C2214yescomplemented
99#16811303C2214yescomplemented
100#16811300C2214yescomplemented
101#16811300C2214yescomplemented
102#16811298C2214yescomplemented
103#16811298C2214yescomplemented
104#16811298C2214yescomplemented
105#16811298C2214yescomplemented
106#16811298C2214yescomplemented
107#16811298C2214yescomplemented
108#16811297C2214yescomplemented
109#16811296C2214yescomplemented
110#16811295C2212yescomplemented
111#16811295C2212yescomplemented
112#16811295C2211yescharacteristic, complemented
113#16811295C2211yescharacteristic, complemented
114#16811294C2212yescomplemented
115Q8×D212C2211yescharacteristic, complemented
116#16811288C2211yescharacteristic, complemented
117#16811288C2212yescomplemented
118#16811285C2212yescomplemented
119#16811285C2212yescomplemented
120#16811285C2212yescomplemented
121#16811285C2212yescomplemented
122#16811283C2212yescomplemented
123#16811283C2212yescomplemented
124#16811278C2211yescharacteristic, complemented
125#16811276C2212yescomplemented
126#16811276C2212yescomplemented
127#16811276C2214yescomplemented
128#16811276C2211yescharacteristic, complemented
129#16811276C2214yescomplemented
130#16811275C2212yescomplemented
131#16811275C2212yescomplemented
132#16811269C2212yescomplemented
133#16811266C2212yes—
134#16811266C2212yes—
135#16811266C2212yescomplemented
136#16811264C2214yes—
137#16811264C2214yescomplemented
138#16811264C2212yescomplemented
139#16811264C2212yescomplemented
140#16811264C2214yescomplemented
141D4×D212C2212yes—
142D4×D212C2211yescharacteristic, complemented
143#16811253C2212yescomplemented
144#16811247C2212yescomplemented
145#16811247C2212yescomplemented
146#16811247C2214yescomplemented
147#16811247C2214yescomplemented
148#16811247C2212yescomplemented
149#16811247C2214yescomplemented
150#16811246C2212yescomplemented
151#16811246C2214yescomplemented
152#16811245C2214yescomplemented
153#16811244C2212yescomplemented
154#16811244C2212yescomplemented
155#16811242C2212yescomplemented
156#16811239C2214yescomplemented
157#16811234C2212yescomplemented
158#16811234C2214yescomplemented
159#16811233C2212yescomplemented
160#16811232C2214yescomplemented
161#16811229C2214yescomplemented
162#16811229C2212yescomplemented
163#16811229C2212yescomplemented
164#16811229C2212yescomplemented
165#16811229C2214yescomplemented
166#16811228C2212yescomplemented
167#16811225C2214yescomplemented
168#16811221C2214yescomplemented
169#16811221C2214yescomplemented
170#16811221C2214yescomplemented
171#16811219C2214yescomplemented
172#16811219C2214yescomplemented
173#16811214C2214yescomplemented
174#16811214C2214yescomplemented
175#16811213C2214yescomplemented
176#16811212C2214yescomplemented
177#16811212C2214yescomplemented
178#16811212C2214yescomplemented
179#16811212C2214yescomplemented
180#16811212C2214yescomplemented
181#16811212C2214yescomplemented
182#16811212C2214yescomplemented
183#16811207C2214yescomplemented
184#16811203C2212yescomplemented
185#16811203C2212yescomplemented
186#16811198C2212yescomplemented
187#16811196C2212yescomplemented
188#16811192C2212yescomplemented
189#16811191C2214yescomplemented
190#16811189C2212yes—
191#16811184C2214yescomplemented
192#16811178C2211yescharacteristic, complemented
193#16811178C2211yescharacteristic, complemented
194#16811178C2211yescharacteristic, complemented
195#16811178C2211yescharacteristic, complemented
196#16811178C2212yescomplemented
197#16811177C2212yescomplemented
198#16811174C2211yescharacteristic
199#16811174C2211yescharacteristic
200#16811174C2211yescharacteristic, complemented
201#16811174C2211yescharacteristic, complemented
202#16811174C2212yescomplemented
203#16811174C2212yescomplemented
204#16811173C2211yescharacteristic, complemented
205#16811173C2211yescharacteristic, complemented
206#16811160C2211yescharacteristic
207#16811160C2212yescomplemented
208#16811160C2211yescharacteristic, complemented
209#16811160C2212yescomplemented
210#16811160C2212yescomplemented
211#16811160C2214yescomplemented
212#16811160C2212yescomplemented
213#16811160C2212yescomplemented
214#16811160C2212yescomplemented
215#16811160C2212yescomplemented
216#16811160C2211yescharacteristic, complemented
217#16811159C2211yescharacteristic, complemented
218#16811159C2211yescharacteristic, complemented
219#16811159C2212yescomplemented
220#16811159C2212yescomplemented
221#16811159C2212yescomplemented
222#16811159C2211yescharacteristic, complemented
223#16811158C2212yes—
224#16811158C2212yescomplemented
225#16811158C2212yescomplemented
226#16811158C2212yescomplemented
227#16811158C2212yescomplemented
228#16811158C2214yescomplemented
229#16811158C2211yescharacteristic, complemented
230#16811157C2211yescharacteristic, complemented
231#16811156C2212yescomplemented
232#16811155C2211yescharacteristic
233#16811155C2212yescomplemented
234#16811154C2211yescharacteristic
235#16811153C2212yescomplemented
236#16811152C2211yescharacteristic
237#16811151C2214yescomplemented
238#16811151C2212yescomplemented
239#16811150C2212yescomplemented
240#126×D53C2214yescomplemented
241#126×D53C2212yescomplemented
242#125×D53C2212yescomplemented
243#125×D53C2211yescharacteristic, complemented
244#124×D53C2211yescharacteristic
245#124×D53C2212yescomplemented
246#16811136C2211yescharacteristic
247#16811136C2212yes—
248#16811136C2212yescomplemented
249#16811136C2211yescharacteristic, complemented
250#16811136C2212yescomplemented
251#16811136C2212yescomplemented
252#16811135C2212yescomplemented
253#16811135C2212yescomplemented
254#16811135C2212yescomplemented
255#123×D53C2212yescomplemented
256C22⋊Q8×D53C2212yescomplemented
257C22⋊Q8×D53C2211yescharacteristic, complemented
258C2×#13133192C2212yes—
259#121×D53C2211yescharacteristic
260#16811105C2212yescomplemented
261#16811105C2212yescomplemented
262#16811105C2214yescomplemented
263#16811105C2212yescomplemented
264#16811104C2212yescomplemented
265#16811099C2212yescomplemented
266#16811099C2212yescomplemented
267#16811097C2212yescomplemented
268#16811097C2214yescomplemented
269#16811095C2212yescomplemented
270C4×#11719949C2212yescomplemented
271C4×#11719949C2212yescomplemented
272C4×#11719949C2212yescomplemented
273C4×#11719949C2211yescharacteristic, complemented
274C4×#11719949C2211yescharacteristic, complemented
275#16811091C2212yescomplemented
276#16811091C2212yescomplemented
277C4×Q8×D53C2211yescharacteristic, complemented
278C4×D4×D53C2211yescharacteristic
279C4×D4×D53C2212yescomplemented
280#117×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#563C2214yescomplemented
283Q82×C53C2211yescharacteristic, complemented
284C53×#557C2211yescharacteristic, complemented
285C53×#557C2212yescomplemented
286C53×#556C2212yescomplemented
287C53×#556C2212yescomplemented
288C53×#556C2211yescharacteristic, complemented
289C53×#554C2211yescharacteristic, complemented
290C53×#552C2212yescomplemented
291C53×#544C2212yescomplemented
292C53×#542C2212yes—
293C53×#541C2214yescomplemented
294C53×#541C2212yescomplemented
295C53×#541C2212yescomplemented
296C53×#533C2211yescharacteristic, complemented
297C53×#533C2211yescharacteristic, complemented
298C53×#529C2211yescharacteristic
299C2×#11719949C2312yes—
300C2×#11719949C2312yes—
301C2×#11719949C2311yescharacteristic
302C2×#11719949C2312yes—
303C2×#11719949C2314yes—
304C2×#11719949C2312yes—
305C2×#11719949C2312yes—
306C2×#11719949C2312yes—
307C2×#11719949C2311yescharacteristic
308C2×#11719945C2312yes—
309C2×#11719945C2312yes—
310C2×#11719945C2312yes—
311C2×Q8×D53C2312yes—
312C2×Q8×D53C2311yescharacteristic
313C2×Q8×D53C2312yes—
314C22×D212C2314yes—
315C22×D212C2312yes—
316C2×D4×D53C2311yescharacteristic
317C2×D4×D53C2312yes—
318C2×D4×D53C2312yes—
319C22×C4×D53C2311yescharacteristic
320C22×C4×D53C2311yescharacteristic
321C22×C4×D53C2311yescharacteristic
322C22×C4×D53C2312yes—
323#13133217C2311yescharacteristic
324#13133217C2312yes—
325#13133217C2311yescharacteristic
326#13133216C2312yes—
327#13133216C2314yes—
328#13133216C2314yes—
329#13133215C2312yes—
330#13133214C2312yes—
331#13133214C2314yes—
332#13133214C2311yescharacteristic
333#13133214C2312yes—
334#13133214C2311yescharacteristic
335#13133213C2314yes—
336#13133212C2314yes—
337#13133212C2314yes—
338#13133212C2314yes—
339#13133212C2314yes—
340#13133212C2314yes—
341#13133212C2314yes—
342#13133212C2314yes—
343#13133212C2312yes—
344#13133212C2314yes—
345#13133212C2314yes—
346#13133212C2314yes—
347#13133212C2314yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2312yes—
352#13133212C2312yes—
353#13133212C2312yes—
354#13133212C2312yes—
355#13133212C2312yes—
356#13133212C2314yes—
357#13133212C2312yes—
358#13133211C2314yes—
359#13133211C2314yes—
360#13133211C2312yes—
361#13133210C2314yes—
362#13133210C2312yes—
363#13133210C2312yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2312yes—
367#13133209C2314yes—
368#13133209C2311yescharacteristic
369#13133209C2312yes—
370#13133208C2314yes—
371#13133208C2312yes—
372#13133208C2312yes—
373#13133208C2311yescharacteristic
374#13133208C2311yescharacteristic
375#13133208C2311yescharacteristic
376#13133208C2311yescharacteristic
377#13133208C2312yes—
378#13133208C2312yes—
379#13133207C2312yes—
380#13133207C2314yes—
381#13133207C2314yes—
382#13133207C2314yes—
383#13133207C2314yes—
384#13133207C2314yes—
385#13133207C2314yes—
386#13133207C2314yes—
387#13133207C2312yes—
388#13133206C2314yes—
389#13133206C2311yescharacteristic
390#13133206C2312yes—
391#13133206C2314yes—
392#13133206C2314yes—
393#13133206C2311yescharacteristic
394#13133206C2312yes—
395#13133206C2314yes—
396#13133206C2314yes—
397#13133206C2311yescharacteristic
398#13133206C2312yes—
399#13133206C2312yes—
400#13133205C2312yes—
401#13133205C2311yescharacteristic
402#13133205C2312yes—
403#13133205C2314yes—
404#13133205C2314yes—
405#13133205C2314yes—
406#13133205C2314yes—
407#13133205C2312yes—
408#13133205C2312yes—
409#13133204C2311yescharacteristic
410#13133203C2314yes—
411#13133203C2314yes—
412#13133203C2312yes—
413#13133203C2314yes—
414#13133203C2314yes—
415#13133203C2314yes—
416#13133203C2314yes—
417#13133203C2312yes—
418#13133202C2312yes—
419#13133202C2314yes—
420#13133202C2314yes—
421#13133202C2314yes—
422#13133202C2314yes—
423#13133202C2314yes—
424#13133202C2314yes—
425#13133202C2314yes—
426#13133202C2314yes—
427#13133202C2314yes—
428#13133202C2314yes—
429#13133202C2312yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2314yes—
438#13133202C2314yes—
439#13133202C2312yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2314yes—
444#13133202C2312yes—
445#13133202C2314yes—
446#13133202C2312yes—
447#13133202C2312yes—
448#13133201C2314yes—
449#13133201C2314yes—
450#13133201C2312yes—
451#13133201C2312yes—
452#13133201C2312yes—
453#13133200C2314yes—
454#13133200C2312yes—
455#13133199C2314yes—
456#13133199C2314yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2312yes—
463#13133199C2312yes—
464#13133198C2312yes—
465#13133197C2312yes—
466#13133197C2312yes—
467#13133197C2311yescharacteristic
468#13133197C2312yes—
469#13133197C2314yes—
470#13133197C2314yes—
471#13133197C2314yes—
472#13133197C2314yes—
473#13133197C2314yes—
474#13133197C2312yes—
475#13133197C2312yes—
476#13133197C2312yes—
477#13133196C2312yes—
478#13133196C2311yescharacteristic
479#13133195C2314yes—
480#13133195C2314yes—
481#13133195C2314yes—
482#13133195C2314yes—
483#13133195C2314yes—
484#13133195C2314yes—
485#13133195C2314yes—
486#13133195C2314yes—
487#13133195C2314yes—
488#13133195C2314yes—
489#13133195C2312yes—
490#13133194C2314yes—
491#13133194C2312yes—
492#13133193C2312yes—
493#13133193C2312yes—
494#13133193C2312yes—
495#13133193C2312yes—
496#13133193C2311yescharacteristic
497#13133193C2314yes—
498#13133193C2314yes—
499#13133193C2314yes—
500#13133193C2314yes—
501#13133193C2314yes—
502#13133193C2311yescharacteristic
503#13133193C2311yescharacteristic
504#13133193C2312yes—
505#13133193C2312yes—
506#13133192C2314yes—
507#13133192C2314yes—
508#13133192C2314yes—
509#13133192C2312yes—
510#13133192C2314yes—
511#13133192C2312yes—
512#13133192C2314yes—
513#13133192C2314yes—
514#13133192C2312yes—
515#13133192C2314yes—
516#13133192C2314yes—
517#13133192C2314yes—
518#13133192C2312yes—
519#13133192C2312yes—
520#13133192C2312yes—
521#13133192C2314yes—
522#13133192C2314yes—
523#13133192C2314yes—
524#13133192C2312yes—
525#13133192C2312yes—
526#13133192C2314yes—
527#13133192C2312yes—
528#13133192C2311yescharacteristic
529#13133192C2314yes—
530#13133192C2314yes—
531#13133192C2314yes—
532#13133192C2314yes—
533#13133192C2312yes—
534#13133192C2311yescharacteristic
535#13133192C2312yes—
536#13133192C2311yescharacteristic
537#13133192C2312yes—
538#13133192C2312yes—
539#13133191C2311yescharacteristic
540#13133191C2311yescharacteristic
541#13133191C2312yes—
542#13133191C2314yes—
543#13133191C2312yes—
544#13133191C2312yes—
545#13133191C2311yescharacteristic
546#13133191C2312yes—
547#13133190C2314yes—
548#13133190C2314yes—
549#13133190C2314yes—
550#13133190C2314yes—
551#13133190C2314yes—
552#13133190C2314yes—
553#13133190C2314yes—
554#13133190C2314yes—
555#13133190C2314yes—
556#13133190C2314yes—
557#13133190C2312yes—
558#13133189C2312yes—
559#13133188C2311yescharacteristic
560#13133188C2312yes—
561#13133187C2314yes—
562#13133187C2314yes—
563#13133187C2314yes—
564#13133187C2314yes—
565#13133187C2314yes—
566#13133187C2314yes—
567#13133187C2314yes—
568#13133187C2312yes—
569#13133187C2314yes—
570#13133187C2312yes—
571#13133185C2314yes—
572Q8×Dic53C2312yes—
573Q8×Dic53C2311yescharacteristic
574Q8×Dic53C2314yes—
575Q8×Dic53C2311yescharacteristic
576Q8×Dic53C2312yes—
577Q8×Dic53C2311yescharacteristic
578Q8×Dic53C2312yes—
579C4×Dic106C2312yes—
580C4×Dic106C2311yescharacteristic
581C4×Dic106C2312yes—
582C4×Dic106C2314yes—
583C4×Dic106C2314yes—
584C4×Dic106C2312yes—
585#13133182C2312yes—
586#13133182C2312yes—
587#13133182C2312yes—
588#13133182C2314yes—
589#13133182C2312yes—
590#13133182C2314yes—
591#13133182C2311yescharacteristic
592#13133182C2312yes—
593#13133182C2312yes—
594C4×D212C2312yes—
595C4×D212C2312yes—
596C4×D212C2312yes—
597C4×D212C2312yes—
598C4×D212C2312yes—
599C4×D212C2312yes—
600C4×D212C2312yes—
601C4×D212C2311yescharacteristic
602C4×D212C2314yes—
603C4×D212C2311yescharacteristic
604C4×D212C2312yes—
605C4×D212C2312yes—
606C4×D212C2314yes—
607C4×D212C2314yes—
608C4×D212C2314yes—
609C4×D212C2312yes—
610C4×D212C2314yes—
611C4×D212C2314yes—
612C4×D212C2314yes—
613C4×D212C2312yes—
614C4×D212C2311yescharacteristic
615C4×D212C2314yes—
616C4×D212C2314yes—
617C4×D212C2314yes—
618C4×D212C2314yes—
619C4×D212C2314yes—
620C4×D212C2312yes—
621D4×Dic53C2312yes—
622D4×Dic53C2311yescharacteristic
623#13133179C2314yes—
624#13133179C2314yes—
625#13133179C2312yes—
626#13133179C2314yes—
627#13133179C2312yes—
628#13133179C2312yes—
629#13133179C2312yes—
630#13133179C2314yes—
631#13133179C2314yes—
632#13133179C2314yes—
633#13133179C2314yes—
634#13133179C2312yes—
635#13133179C2312yes—
636#13133179C2312yes—
637#13133179C2314yes—
638#13133179C2314yes—
639#13133179C2312yes—
640#13133179C2311yescharacteristic
641#13133179C2312yes—
642#13133179C2312yes—
643#13133179C2312yes—
644#13133179C2311yescharacteristic
645#13133179C2311yescharacteristic
646#13133179C2312yes—
647#13133179C2312yes—
648#13133179C2314yes—
649#13133179C2312yes—
650#13133179C2312yes—
651C4×C22⋊D53C2314yes—
652C4×C22⋊D53C2312yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2314yes—
655C4×C22⋊D53C2314yes—
656C4×C22⋊D53C2312yes—
657#13133177C2312yes—
658#13133177C2312yes—
659#13133177C2312yes—
660#13133177C2314yes—
661#13133177C2314yes—
662#13133177C2312yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133177C2314yes—
667#13133176C2314yes—
668#13133176C2312yes—
669#13133175C2314yes—
670#13133175C2312yes—
671#13133175C2312yes—
672#13133175C2312yes—
673#13133175C2312yes—
674#13133175C2314yes—
675#13133175C2314yes—
676#13133175C2314yes—
677#13133175C2312yes—
678#13133175C2312yes—
679#13133175C2312yes—
680#13133175C2314yes—
681#13133175C2311yescharacteristic
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133175C2312yes—
686#13133175C2312yes—
687#13133175C2311yescharacteristic
688#13133174C2314yes—
689#13133174C2314yes—
690#13133174C2314yes—
691#13133174C2314yes—
692#13133174C2314yes—
693#13133174C2314yes—
694#13133174C2314yes—
695#13133174C2314yes—
696#13133174C2314yes—
697#13133174C2312yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133174C2312yes—
701#13133173C2312yes—
702#13133173C2312yes—
703C4⋊C4×D53C2314yes—
704C4⋊C4×D53C2314yes—
705C4⋊C4×D53C2312yes—
706C4⋊C4×D53C2312yes—
707C4⋊C4×D53C2311yescharacteristic
708C4⋊C4×D53C2314yes—
709C4⋊C4×D53C2314yes—
710C4⋊C4×D53C2314yes—
711C4⋊C4×D53C2312yes—
712C4⋊C4×D53C2312yes—
713C4⋊C4×D53C2312yes—
714C4⋊C4×D53C2314yes—
715C4⋊C4×D53C2311yescharacteristic
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2312yes—
718C2×#11719921C2314yes—
719C22⋊C4×D53C2312yes—
720C22⋊C4×D53C2314yes—
721C22⋊C4×D53C2312yes—
722C22⋊C4×D53C2312yes—
723C22⋊C4×D53C2314yes—
724C22⋊C4×D53C2314yes—
725C22⋊C4×D53C2314yes—
726C22⋊C4×D53C2314yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2312yes—
729C22⋊C4×D53C2312yes—
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C42×D53C2311yescharacteristic
734C42×D53C2311yescharacteristic
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2312yes—
742C42×D53C2312yes—
743C42×D53C2312yes—
744C42×D53C2314yes—
745C4⋊Q8×C53C2311yescharacteristic
746C4⋊Q8×C53C2312yes—
747C4⋊Q8×C53C2314yes—
748C4⋊Q8×C53C2312yes—
749C4⋊Q8×C53C2314yes—
750C4⋊Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2311yescharacteristic
753C4⋊Q8×C53C2312yes—
754#126×C53C2314yes—
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#126×C53C2312yes—
759#126×C53C2314yes—
760#126×C53C2314yes—
761#125×C53C2314yes—
762#125×C53C2314yes—
763#125×C53C2314yes—
764#125×C53C2314yes—
765#125×C53C2314yes—
766#125×C53C2311yescharacteristic
767#125×C53C2312yes—
768#125×C53C2312yes—
769#125×C53C2312yes—
770#125×C53C2312yes—
771#124×C53C2312yes—
772#124×C53C2311yescharacteristic
773#124×C53C2314yes—
774#123×C53C2314yes—
775#123×C53C2312yes—
776C22⋊Q8×C53C2314yes—
777C22⋊Q8×C53C2312yes—
778C22⋊Q8×C53C2312yes—
779C22⋊Q8×C53C2314yes—
780C22⋊Q8×C53C2314yes—
781C22⋊Q8×C53C2311yescharacteristic
782C22⋊Q8×C53C2311yescharacteristic
783C22⋊Q8×C53C2311yescharacteristic
784C22⋊Q8×C53C2312yes—
785C22⋊Q8×C53C2312yes—
786C22⋊Q8×C53C2312yes—
787#121×C53C2311yescharacteristic
788C4×Q8×C53C2312yes—
789C4×Q8×C53C2312yes—
790C4×Q8×C53C2312yes—
791C4×Q8×C53C2312yes—
792C4×Q8×C53C2311yescharacteristic
793C4×Q8×C53C2311yescharacteristic
794C4×Q8×C53C2311yescharacteristic
795C4×Q8×C53C2312yes—
796C4×Q8×C53C2312yes—
797C4×Q8×C53C2312yes—
798C4×Q8×C53C2312yes—
799C4×Q8×C53C2314yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2311yescharacteristic
802C4×D4×C53C2312yes—
803#117×C53C2314yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806#117×C53C2312yes—
807#117×C53C2312yes—
808C2×C4⋊C4×C53C2312yes—
809C2×C42×C53C2311yescharacteristic
810C23×D53C2412yes—
811C23×D53C2411yescharacteristic
812C23×D53C2414yes—
813C2×Q8×C53C2411yescharacteristic
814C2×Q8×C53C2411yescharacteristic
815C2×Q8×C53C2412yes—
816C2×Q8×C53C2411yescharacteristic
817C2×Q8×C53C2412yes—
818C2×Q8×C53C2412yes—
819C2×Q8×C53C2414yes—
820C2×D4×C53C2411yescharacteristic
821C2×D4×C53C2412yes—
822C22×C4×C53C2411yescharacteristic
823C22×C4×C53C2411yescharacteristic
824C22×C4×C53C2412yes—
825C22×C4×C53C2411yescharacteristic
826C22×C4×C53C2414yes—
827C2×C22⋊D53C2412yes—
828C2×C22⋊D53C2414yes—
829C2×C22⋊D53C2412yes—
830C2×C22⋊D53C2412yes—
831C2×C22⋊D53C2412yes—
832C2×C22⋊D53C2414yes—
833C2×C22⋊D53C2412yes—
834C2×C22⋊D53C2414yes—
835C22×Dic53C2411yescharacteristic
836C22×Dic53C2411yescharacteristic
837C22×Dic53C2411yescharacteristic
838C22×Dic53C2412yes—
839#11719949—44no—
840#11719949—44no—
841#11719949—48no—
842#11719949—44no—
843#11719949—42no—
844#11719949—42no—
845#11719949—44no—
846#11719949—44no—
847#11719949—44no—
848Q8×D53—44no—
849Q8×D53—42no—
850Q8×D53—44no—
851D4×D53—42no—
852D4×D53—44no—
853D4×D53—44no—
854#11719945—44no—
855#11719945—44no—
856#11719945—44no—
857C2×D212—44no—
858C2×D212—48no—
859C2×D212C2412yes—
860C2×D212C2411yescharacteristic
861C2×D212C2412yes—
862C2×D212C2411yescharacteristic
863C2×D212C2414yes—
864C2×D212C2412yes—
865C2×D212C2411yescharacteristic
866C2×D212C2412yes—
867C2×D212C2412yes—
868C2×D212C2414yes—
869C2×D212C2412yes—
870C2×D212C2414yes—
871C2×D212C2414yes—
872C2×D212C2412yes—
873C2×D212C2412yes—
874C2×D212C2414yes—
875C2×D212C2414yes—
876C2×D212C2412yes—
877C2×D212C2414yes—
878C2×D212C2412yes—
879C2×D212C2414yes—
880C2×D212C2414yes—
881C2×C4×D53—44no—
882C2×C4×D53—42no—
883C2×C4×D53—42no—
884C2×C4×D53—42no—
885C2×C4×D53C2411yescharacteristic
886C2×C4×D53C2411yescharacteristic
887C2×C4×D53C2411yescharacteristic
888C2×C4×D53C2411yescharacteristic
889C2×C4×D53C2411yescharacteristic
890C2×C4×D53C2411yescharacteristic
891C2×C4×D53C2412yes—
892C2×C4×D53C2412yes—
893C2×C4×D53C2412yes—
894C2×C4×D53C2412yes—
895C2×C4×D53C2411yescharacteristic
896C2×C4×D53C2411yescharacteristic
897C2×C4×D53C2411yescharacteristic
898C2×C4×D53C2411yescharacteristic
899C2×C4×D53C2411yescharacteristic
900C2×C4×D53C2411yescharacteristic
901C2×C4×D53C2412yes—
902C2×C4×D53C2412yes—
903C2×C4×D53C2412yes—
904C2×C4×D53C2414yes—
905C2×C4×D53C2414yes—
906C2×C4×D53C2414yes—
907C2×C4×D53C2412yes—
908C2×C4×D53C2412yes—
909C2×C4×D53C2412yes—
910C2×C4×D53C2414yes—
911C2×C4×D53C2414yes—
912C2×C4×D53C2414yes—
913C2×C4×D53C2414yes—
914C2×C4×D53C2414yes—
915C2×C4×D53C2414yes—
916C2×C4×D53C2414yes—
917C2×C4×D53C2414yes—
918C2×C4×D53C2412yes—
919C2×Dic106C2412yes—
920C2×Dic106C2411yescharacteristic
921C2×Dic106C2412yes—
922C2×Dic106C2414yes—
923C2×Dic106C2412yes—
924C2×Dic106C2414yes—
925C4⋊C4×C53C2411yescharacteristic
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2414yes—
928C4⋊C4×C53C2412yes—
929C4⋊C4×C53C2412yes—
930C4⋊C4×C53C2411yescharacteristic
931C4⋊C4×C53C2412yes—
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2414yes—
934C4⋊C4×C53C2412yes—
935C4⋊C4×C53C2412yes—
936C4⋊C4×C53C2411yescharacteristic
937C4⋊C4×C53C2412yes—
938C4⋊C4×C53C2412yes—
939C4⋊C4×C53C2411yescharacteristic
940C4⋊C4×C53C2412yes—
941C4⋊C4×C53C2412yes—
942C4⋊C4×C53C2414yes—
943C4⋊C4×C53C2414yes—
944C4⋊C4×C53C2414yes—
945C4⋊C4×C53C2414yes—
946C4⋊C4×C53C2414yes—
947C4⋊C4×C53C2412yes—
948C4⋊C4×C53C2412yes—
949C4⋊C4×C53C2414yes—
950C4⋊C4×C53C2412yes—
951C4⋊C4×C53C2412yes—
952C4⋊C4×C53C2414yes—
953C4⋊C4×C53C2414yes—
954C22⋊C4×C53C2412yes—
955C22⋊C4×C53C2412yes—
956C22⋊C4×C53C2412yes—
957C22⋊C4×C53C2412yes—
958C22⋊C4×C53C2414yes—
959C22⋊C4×C53C2414yes—
960C22⋊C4×C53C2412yes—
961C22⋊C4×C53C2414yes—
962C22⋊C4×C53C2412yes—
963C22⋊C4×C53C2414yes—
964C22⋊C4×C53C2412yes—
965C42×C53C2411yescharacteristic
966C42×C53C2411yescharacteristic
967C42×C53C2411yescharacteristic
968C42×C53C2411yescharacteristic
969C42×C53C2414yes—
970C42×C53C2412yes—
971C42×C53C2412yes—
972C42×C53C2412yes—
973C42×C53C2414yes—
974C42×C53C2414yes—
975C42×C53C2414yes—
976C22⋊Dic53C2412yes—
977C22⋊Dic53C2412yes—
978C22⋊Dic53C2412yes—
979C22⋊Dic53C2412yes—
980C22⋊Dic53C2414yes—
981C22⋊Dic53C2412yes—
982#11719921C2412yes—
983#11719921C2412yes—
984#11719921C2412yes—
985#11719921C2412yes—
986#11719921C2414yes—
987#11719921C2412yes—
988#11719921C2414yes—
989#11719921C2412yes—
990#11719921C2412yes—
991#11719921C2414yes—
992#11719921C2414yes—
993#11719921C2412yes—
994#11719921C2412yes—
995#11719921C2412yes—
996#11719921C2412yes—
997#11719921C2412yes—
998#11719921C2412yes—
999#11719921C2412yes—
1000#11719921C2414yes—
1001#11719921C2414yes—
1002#11719921C2414yes—
1003#11719921C2414yes—
1004#11719921C2412yes—
1005#11719921C2414yes—
1006#11719921C2414yes—
1007#11719921C2412yes—
1008#11719921C2412yes—
1009#11719921C2414yes—
1010#11719921C2414yes—
1011#11719921C2412yes—
1012#11719921C2412yes—
1013#11719921C2414yes—
1014#11719921C2414yes—
1015#11719921C2414yes—
1016#11719921C2414yes—
1017#11719921C2414yes—
1018#11719921C2414yes—
1019#11719921C2412yes—
1020#11719921C2414yes—
1021#11719921C2412yes—
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2414yes—
1025#11719921C2414yes—
1026#11719921C2414yes—
1027#11719921C2412yes—
1028#11719921C2412yes—
1029#11719921C2412yes—
1030C4⋊Dic53C2412yes—
1031C4⋊Dic53C2411yescharacteristic
1032C4⋊Dic53C2412yes—
1033C4⋊Dic53C2411yescharacteristic
1034C4⋊Dic53C2412yes—
1035C4⋊Dic53C2412yes—
1036C4⋊Dic53C2411yescharacteristic
1037C4⋊Dic53C2412yes—
1038C4⋊Dic53C2414yes—
1039C4⋊Dic53C2414yes—
1040C4⋊Dic53C2412yes—
1041C4⋊Dic53C2414yes—
1042C4⋊Dic53C2411yescharacteristic
1043C4⋊Dic53C2412yes—
1044C4⋊Dic53C2412yes—
1045C4⋊Dic53C2412yes—
1046C4⋊Dic53C2412yes—
1047C4⋊Dic53C2412yes—
1048C4⋊Dic53C2414yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2414yes—
1055#11719919C2414yes—
1056#11719919C2414yes—
1057#11719919C2414yes—
1058#11719919C2412yes—
1059#11719919C2412yes—
1060#11719919C2412yes—
1061#11719919C2414yes—
1062#11719919C2412yes—
1063#11719919C2412yes—
1064#11719919C2414yes—
1065#11719919C2412yes—
1066#11719919C2412yes—
1067#11719919C2414yes—
1068#11719919C2412yes—
1069#11719919C2412yes—
1070#11719919C2414yes—
1071#11719919C2414yes—
1072#11719919C2414yes—
1073C4×Dic53C2411yescharacteristic
1074C4×Dic53C2411yescharacteristic
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2411yescharacteristic
1077C4×Dic53C2411yescharacteristic
1078C4×Dic53C2411yescharacteristic
1079C4×Dic53C2411yescharacteristic
1080C4×Dic53C2411yescharacteristic
1081C4×Dic53C2411yescharacteristic
1082C4×Dic53C2411yescharacteristic
1083C4×Dic53C2411yescharacteristic
1084C4×Dic53C2411yescharacteristic
1085C4×Dic53C2412yes—
1086C4×Dic53C2412yes—
1087C4×Dic53C2412yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2412yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2412yes—
1092C4×Dic53C2414yes—
1093C4×Dic53C2412yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2414yes—
1096C4×Dic53C2414yes—
1097C23×C53C2511yescharacteristic
1098C23×C53C2512yes—
1099C22×D53—22no—
1100C22×D53—24no—
1101C22×D53—41no—
1102C22×D53—41no—
1103C22×D53—42no—
1104C22×D53—42no—
1105C22×D53—44no—
1106C22×D53—44no—
1107C22×D53—44no—
1108C22×D53C2512yes—
1109C22×D53C2512yes—
1110C22×D53C2511yescharacteristic
1111C22×D53C2514yes—
1112C22×D53C2512yes—
1113C22×D53C2511yescharacteristic
1114Q8×C53—22no—
1115Q8×C53—22no—
1116Q8×C53—24no—
1117Q8×C53—22no—
1118Q8×C53—42no—
1119Q8×C53—42no—
1120Q8×C53—44no—
1121D4×C53—22no—
1122D4×C53—42no—
1123C2×C4×C53—24no—
1124C2×C4×C53—22no—
1125C2×C4×C53—22no—
1126C2×C4×C53—41no—
1127C2×C4×C53—44no—
1128C2×C4×C53C2512yes—
1129C2×C4×C53C2511yescharacteristic
1130C2×C4×C53C2512yes—
1131C2×C4×C53C2514yes—
1132C2×C4×C53C2511yescharacteristic
1133C2×C4×C53C2512yes—
1134C2×C4×C53C2512yes—
1135C2×C4×C53C2512yes—
1136C2×C4×C53C2511yescharacteristic
1137C2×C4×C53C2511yescharacteristic
1138C2×C4×C53C2514yes—
1139C2×C4×C53C2512yes—
1140C2×C4×C53C2512yes—
1141C2×C4×C53C2511yescharacteristic
1142C2×C4×C53C2511yescharacteristic
1143C22⋊D53—44no—
1144C22⋊D53—44no—
1145C22⋊D53—42no—
1146C22⋊D53—42no—
1147C22⋊D53—44no—
1148C22⋊D53—42no—
1149C22⋊D53—42no—
1150C22⋊D53—42no—
1151C2×Dic53—42no—
1152C2×Dic53—41no—
1153C2×Dic53—41no—
1154C2×Dic53—41no—
1155C2×Dic53C2512yes—
1156C2×Dic53C2512yes—
1157C2×Dic53C2512yes—
1158C2×Dic53C2514yes—
1159C2×Dic53C2511yescharacteristic
1160C2×Dic53C2512yes—
1161C2×Dic53C2511yescharacteristic
1162C2×Dic53C2511yescharacteristic
1163C2×Dic53C2511yescharacteristic
1164C2×Dic53C2511yescharacteristic
1165C2×Dic53C2512yes—
1166C2×Dic53C2511yescharacteristic
1167D212—24no—
1168D212—28no—
1169D212—24no—
1170D212—22no—
1171D212—24no—
1172D212—22no—
1173D212—22no—
1174D212—24no—
1175D212—44no—
1176D212—44no—
1177D212—44no—
1178D212—42no—
1179D212—42no—
1180D212—42no—
1181D212—44no—
1182D212—44no—
1183D212—44no—
1184D212—42no—
1185D212—42no—
1186D212—44no—
1187D212—44no—
1188D212—42no—
1189C4×D53—22no—
1190C4×D53—22no—
1191C4×D53—24no—
1192C4×D53—22no—
1193C4×D53—22no—
1194C4×D53—24no—
1195C4×D53—22no—
1196C4×D53—22no—
1197C4×D53—24no—
1198C4×D53—24no—
1199C4×D53—42no—
1200C4×D53—41no—
1201C4×D53—41no—
1202C4×D53—41no—
1203C4×D53—41no—
1204C4×D53—41no—
1205C4×D53—41no—
1206C4×D53—42no—
1207C4×D53—44no—
1208C4×D53—44no—
1209C4×D53—42no—
1210C4×D53—44no—
1211C4×D53—44no—
1212C4×D53—44no—
1213C4×D53—44no—
1214C4×D53—44no—
1215C4×D53—42no—
1216C4×D53—44no—
1217C4×D53—42no—
1218C4×D53—42no—
1219C4×D53—44no—
1220C4×D53—42no—
1221C4×D53—44no—
1222C4×D53—44no—
1223Dic106—24no—
1224Dic106—22no—
1225Dic106—42no—
1226Dic106—44no—
1227Dic106—42no—
1228Dic106—44no—
1229#62827—531nomaximal, Sylow
1230C22×C53—21no—
1231C22×C53—21no—
1232C22×C53—22no—
1233C22×C53—21no—
1234C22×C53—22no—
1235C22×C53—22no—
1236C22×C53C2611yescharacteristic
1237C2×D53—21no—
1238C2×D53—21no—
1239C2×D53—22no—
1240C2×D53—22no—
1241C2×D53—21no—
1242C2×D53—21no—
1243C2×D53—22no—
1244C2×D53—22no—
1245C2×D53—22no—
1246C2×D53—24no—
1247C2×D53—22no—
1248C2×D53—24no—
1249C2×D53—24no—
1250C2×D53—21no—
1251C2×D53—22no—
1252C2×D53—22no—
1253C2×D53—22no—
1254C2×D53—44no—
1255C2×D53—84no—
1256C2×D53—164no—
1257C2×D53#58512yes—
1258C4×C53—22no—
1259C4×C53—21no—
1260C4×C53—24no—
1261C4×C53—22no—
1262C4×C53—21no—
1263C4×C53—21no—
1264C4×C53—22no—
1265C4×C53—21no—
1266C4×C53—22no—
1267C4×C53—22no—
1268C4×C53—22no—
1269C4×C53—24no—
1270C4×C53—22no—
1271C4×C53#58512yes—
1272C4×C53#58512yes—
1273Dic53—22no—
1274Dic53—24no—
1275Dic53—22no—
1276Dic53—22no—
1277Dic53—21no—
1278Dic53—22no—
1279Dic53—21no—
1280Dic53—21no—
1281Dic53—21no—
1282Dic53—21no—
1283Dic53—22no—
1284Dic53—21no—
1285#3566—534no—
1286#3566—534no—
1287#3565—532no—
1288#3562—532no—
1289#3555D5311yescharacteristic, complemented
1290#3554—531no—
1291#3547—531no—
1292#3546—531no—
1293#3542—532no—
1294#3541—532no—
1295#3533—534no—
1296#3524—532no—
1297#3524—532no—
1298#3523—531no—
1299#3522—531no—
1300#3521—532no—
1301#3521—532no—
1302#3521—534no—
1303#3520—531no—
1304#3519—531no—
1305#3518—531no—
1306#3517—531no—
1307#3515—532no—
1308#3515—531no—
1309#3514—532no—
1310#3514—531no—
1311#3512—532no—
1312#3510—532no—
1313#3506—532no—
1314#3505—532no—
1315#3495—532no—
1316#3494—532no—
1317#3444—531no—
1318#3444—531no—
1319C2×#529—531no—
1320C2×C53—41no—
1321C2×C53—42no—
1322C2×C53C2×#58511yescharacteristic
1323C2×C53C2×#58511yescharacteristic
1324C2×C53C2×#58511yescharacteristic
1325D53—22no—
1326D53—42no—
1327D53—41no—
1328D53—42no—
1329D53—44no—
1330D53—42no—
1331#563—534no—
1332#563C2×D5314yescomplemented
1333#562—534no—
1334#562—534no—
1335#562—534no—
1336#562—534no—
1337#560—534no—
1338#560—534no—
1339#559—534no—
1340#559—534no—
1341#559—534no—
1342#559—531no—
1343#559—532no—
1344#559—532no—
1345Q82C2×D5311yescharacteristic, complemented
1346#557—532no—
1347#557—531no—
1348#557C2×D5312yescomplemented
1349#557C2×D5311yescharacteristic, complemented
1350#556—532no—
1351#556—534no—
1352#556—534no—
1353#556—534no—
1354#556—532no—
1355#556—532no—
1356#556—531no—
1357#556C2×D5312yescomplemented
1358#556C2×D5311yescharacteristic, complemented
1359#556C2×D5312yescomplemented
1360#555—534no—
1361#555—531no—
1362#555—532no—
1363#555—532no—
1364#555—532no—
1365#555—534no—
1366#554—531no—
1367#554—532no—
1368#554—534no—
1369#554—532no—
1370#554—532no—
1371#554C2×D5311yescharacteristic, complemented
1372#553—534no—
1373#553—534no—
1374#553—534no—
1375#553—534no—
1376#553—534no—
1377#553—532no—
1378#553—534no—
1379#553—534no—
1380#553—532no—
1381#553—534no—
1382#553—534no—
1383#553—532no—
1384#553—534no—
1385#553—532no—
1386#553—532no—
1387#553—532no—
1388#552—534no—
1389#552—534no—
1390#552—534no—
1391#552—534no—
1392#552—534no—
1393#552—534no—
1394#552—534no—
1395#552—532no—
1396#552—534no—
1397#552—532no—
1398#552—534no—
1399#552—532no—
1400#552—532no—
1401#552—532no—
1402#552C2×D5312yescomplemented
1403#551—534no—
1404#551—534no—
1405#551—534no—
1406#551—534no—
1407#551—534no—
1408#551—534no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#551—534no—
1414#550—532no—
1415#550—531no—
1416#550—531no—
1417#550—532no—
1418#550—532no—
1419D4×Q8—532no—
1420D4×Q8—531no—
1421D4×Q8—531no—
1422#548—532no—
1423#548—532no—
1424#548—532no—
1425#548—532no—
1426#548—532no—
1427#548—532no—
1428#547—534no—
1429#547—532no—
1430#547—531no—
1431#547—532no—
1432#547—534no—
1433#547—532no—
1434#547—532no—
1435#547—531no—
1436#546—532no—
1437#546—532no—
1438#546—532no—
1439#546—534no—
1440#546—534no—
1441#546—534no—
1442#546—532no—
1443#546—532no—
1444#546—532no—
1445D42—532no—
1446D42—531no—
1447#544—532no—
1448#544C2×D5312yescomplemented
1449#542—532no—
1450#542—532no—
1451#542—532no—
1452#542—534no—
1453#542—534no—
1454#542—534no—
1455#542—534no—
1456#542—532no—
1457#542—532no—
1458#542—534no—
1459#542—534no—
1460#542—532no—
1461#542—532no—
1462#542C2×D5312yes—
1463#541—532no—
1464#541—534no—
1465#541—534no—
1466#541—532no—
1467#541C2×D5312yescomplemented
1468#541C2×D5312yescomplemented
1469#541C2×D5314yescomplemented
1470#540—532no—
1471#540—532no—
1472#540—532no—
1473#540—534no—
1474#540—534no—
1475#540—534no—
1476#540—532no—
1477#539—534no—
1478#539—534no—
1479#539—534no—
1480#539—534no—
1481#539—534no—
1482#539—534no—
1483#539—534no—
1484#538—534no—
1485#538—534no—
1486#538—534no—
1487#538—534no—
1488#538—534no—
1489#538—534no—
1490#538—534no—
1491#538—534no—
1492#538—534no—
1493#537—532no—
1494#537—532no—
1495#536—532no—
1496#536—532no—
1497#535—534no—
1498#535—532no—
1499#535—532no—
1500#534—534no—
1501#533—531no—
1502#533—531no—
1503#533—531no—
1504#533—531no—
1505#533—532no—
1506#533—532no—
1507#533C2×D5311yescharacteristic, complemented
1508#533C2×D5311yescharacteristic, complemented
1509#532—531no—
1510#532—531no—
1511#532—531no—
1512#532—531no—
1513#532—532no—
1514#532—532no—
1515#532—531no—
1516#532—531no—
1517#529—532no—
1518#529—531no—
1519#529—532no—
1520#529—532no—
1521#529—532no—
1522#529—532no—
1523#529—532no—
1524#529—534no—
1525#529—531no—
1526#529—532no—
1527#529—531no—
1528#529—532no—
1529#529—531no—
1530#529—531no—
1531#529—532no—
1532#529—532no—
1533#529—531no—
1534#529—531no—
1535#529—531no—
1536#529—532no—
1537#529—531no—
1538#529—532no—
1539#529—532no—
1540#529—532no—
1541#529—532no—
1542#529—532no—
1543#529—532no—
1544#529—534no—
1545#529—532no—
1546#529—531no—
1547#529—532no—
1548#529—532no—
1549#529—534no—
1550#529—531no—
1551#529C2×D5311yescharacteristic
1552C2×#126—532no—
1553C2×#126—534no—
1554C2×#125—531no—
1555C2×#125—532no—
1556C2×#124—531no—
1557C2×#124—532no—
1558#525—531no—
1559#525—531no—
1560#525—532no—
1561#525—532no—
1562#525—532no—
1563#525—532no—
1564#525—532no—
1565#525—532no—
1566#525—532no—
1567C2×#123—532no—
1568C2×C22⋊Q8—531no—
1569C2×C22⋊Q8—532no—
1570C2×#121—531no—
1571C2×#121—532no—
1572#520—532no—
1573#520—534no—
1574#520—532no—
1575#520—532no—
1576#520—532no—
1577#519—532no—
1578#519—532no—
1579#518—532no—
1580#518—532no—
1581#518—534no—
1582C4×#41—532no—
1583C4×#41—531no—
1584C4×#41—531no—
1585C4×#41—532no—
1586C4×#41—532no—
1587C4×#41—532no—
1588C4×#41—532no—
1589C2×C4×Q8—531no—
1590C2×C4×D4—531no—
1591C2×C4×D4—532no—
1592C2×#117—532no—
1593C22×C42—531no—
1594C53#6282711yescharacteristic, complemented, Sylow
1595C2×#41—532no—
1596C2×#41—532no—
1597C2×#41—531no—
1598C2×#41—532no—
1599C2×#41—531no—
1600C2×#41—532no—
1601C2×#41—534no—
1602C2×#41—532no—
1603C2×#41—532no—
1604C2×#41—532no—
1605C2×#41—532no—
1606C2×#41—532no—
1607C22×Q8—531no—
1608C22×Q8—532no—
1609C22×Q8—532no—
1610C22×D4—532no—
1611C22×D4—531no—
1612C22×D4—532no—
1613C22×D4—534no—
1614C22×D4—532no—
1615C23×C4—532no—
1616C23×C4—531no—
1617C23×C4—531no—
1618C23×C4—531no—
1619C4⋊Q8—532no—
1620C4⋊Q8—532no—
1621C4⋊Q8—534no—
1622C4⋊Q8—534no—
1623C4⋊Q8—531no—
1624C4⋊Q8—531no—
1625C4⋊Q8—532no—
1626C4⋊Q8C22×D5311yescharacteristic
1627C4⋊Q8C22×D5311yescharacteristic
1628C4⋊Q8C22×D5311yescharacteristic
1629C4⋊Q8C22×D5311yescharacteristic
1630C4⋊Q8C22×D5312yes—
1631C4⋊Q8C22×D5312yes—
1632C4⋊Q8C22×D5312yes—
1633C4⋊Q8C22×D5314yes—
1634C4⋊Q8C22×D5314yes—
1635#127—534no—
1636#127—531no—
1637#127—531no—
1638#127—532no—
1639#127—532no—
1640#127—534no—
1641#126—532no—
1642#126—532no—
1643#126—532no—
1644#126—532no—
1645#126—534no—
1646#126—534no—
1647#126—532no—
1648#126—532no—
1649#126—534no—
1650#126—532no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—534no—
1659#126—534no—
1660#126—534no—
1661#126—534no—
1662#126—534no—
1663#126—532no—
1664#126—532no—
1665#126—532no—
1666#126—534no—
1667#126—534no—
1668#126—534no—
1669#126—532no—
1670#126—534no—
1671#126—534no—
1672#126C22×D5312yes—
1673#126C22×D5314yes—
1674#126C22×D5314yes—
1675#126C22×D5314yes—
1676#126C22×D5314yes—
1677#126C22×D5314yes—
1678#126C22×D5314yes—
1679#125—531no—
1680#125—531no—
1681#125—532no—
1682#125—532no—
1683#125—532no—
1684#125—534no—
1685#125—534no—
1686#125—532no—
1687#125—532no—
1688#125—531no—
1689#125—531no—
1690#125—534no—
1691#125—534no—
1692#125—532no—
1693#125—534no—
1694#125—534no—
1695#125—534no—
1696#125—534no—
1697#125—531no—
1698#125—532no—
1699#125—534no—
1700#125C22×D5311yescharacteristic
1701#125C22×D5312yes—
1702#125C22×D5312yes—
1703#125C22×D5312yes—
1704#125C22×D5314yes—
1705#125C22×D5312yes—
1706#125C22×D5314yes—
1707#125C22×D5314yes—
1708#125C22×D5314yes—
1709#125C22×D5314yes—
1710#124—531no—
1711#124—532no—
1712#124—532no—
1713#124—531no—
1714#124—531no—
1715#124—532no—
1716#124—532no—
1717#124—534no—
1718#124—534no—
1719#124—534no—
1720#124—534no—
1721#124—534no—
1722#124—531no—
1723#124—532no—
1724#124—532no—
1725#124—534no—
1726#124—534no—
1727#124—534no—
1728#124—534no—
1729#124—534no—
1730#124—534no—
1731#124—531no—
1732#124—532no—
1733#124—532no—
1734#124—532no—
1735#124—532no—
1736#124—534no—
1737#124—534no—
1738#124—534no—
1739#124—534no—
1740#124C22×D5311yescharacteristic
1741#124C22×D5312yes—
1742#124C22×D5314yes—
1743#123—532no—
1744#123—532no—
1745#123—534no—
1746#123—532no—
1747#123—532no—
1748#123—532no—
1749#123—534no—
1750#123—532no—
1751#123—532no—
1752#123—532no—
1753#123—534no—
1754#123—534no—
1755#123—534no—
1756#123—534no—
1757#123—534no—
1758#123—534no—
1759#123—534no—
1760#123—534no—
1761#123—534no—
1762#123—534no—
1763#123—534no—
1764#123—534no—
1765#123—534no—
1766#123—534no—
1767#123—534no—
1768#123—534no—
1769#123—534no—
1770#123—534no—
1771#123—534no—
1772#123—534no—
1773#123—534no—
1774#123—534no—
1775#123—534no—
1776#123—532no—
1777#123—532no—
1778#123—532no—
1779#123—532no—
1780#123—532no—
1781#123—534no—
1782#123—534no—
1783#123—534no—
1784#123—534no—
1785#123—534no—
1786#123—534no—
1787#123—534no—
1788#123—534no—
1789#123—534no—
1790#123C22×D5312yes—
1791#123C22×D5314yes—
1792C22⋊Q8—531no—
1793C22⋊Q8—531no—
1794C22⋊Q8—531no—
1795C22⋊Q8—532no—
1796C22⋊Q8—532no—
1797C22⋊Q8—532no—
1798C22⋊Q8—532no—
1799C22⋊Q8—532no—
1800C22⋊Q8—532no—
1801C22⋊Q8—534no—
1802C22⋊Q8—534no—
1803C22⋊Q8—534no—
1804C22⋊Q8—534no—
1805C22⋊Q8—534no—
1806C22⋊Q8—531no—
1807C22⋊Q8—532no—
1808C22⋊Q8—532no—
1809C22⋊Q8—531no—
1810C22⋊Q8—532no—
1811C22⋊Q8—534no—
1812C22⋊Q8—532no—
1813C22⋊Q8—532no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—534no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—534no—
1823C22⋊Q8—534no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—532no—
1832C22⋊Q8—534no—
1833C22⋊Q8C22×D5311yescharacteristic
1834C22⋊Q8C22×D5312yes—
1835C22⋊Q8C22×D5312yes—
1836C22⋊Q8C22×D5311yescharacteristic
1837C22⋊Q8C22×D5311yescharacteristic
1838C22⋊Q8C22×D5312yes—
1839C22⋊Q8C22×D5312yes—
1840C22⋊Q8C22×D5312yes—
1841C22⋊Q8C22×D5314yes—
1842C22⋊Q8C22×D5314yes—
1843C22⋊Q8C22×D5314yes—
1844#121—532no—
1845#121—531no—
1846#121—532no—
1847#121—531no—
1848#121—532no—
1849#121—531no—
1850#121—531no—
1851#121—532no—
1852#121—532no—
1853#121—532no—
1854#121—534no—
1855#121—531no—
1856#121—532no—
1857#121—531no—
1858#121—534no—
1859#121—534no—
1860#121—532no—
1861#121—532no—
1862#121—531no—
1863#121—532no—
1864#121—532no—
1865#121—532no—
1866#121—532no—
1867#121—532no—
1868#121—532no—
1869#121—532no—
1870#121—532no—
1871#121—532no—
1872#121—532no—
1873#121—534no—
1874#121—534no—
1875#121—534no—
1876#121—534no—
1877#121—534no—
1878#121—534no—
1879#121—534no—
1880#121—534no—
1881#121—534no—
1882#121—534no—
1883#121—534no—
1884#121—534no—
1885#121—534no—
1886#121—534no—
1887#121—534no—
1888#121—532no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—534no—
1894#121—534no—
1895#121—534no—
1896#121—534no—
1897#121—534no—
1898#121—534no—
1899#121C22×D5311yescharacteristic
1900#120—534no—
1901#120—532no—
1902#120—534no—
1903#120—532no—
1904#120—534no—
1905#120—534no—
1906#120—534no—
1907#120—534no—
1908#120—534no—
1909#120—534no—
1910#120—534no—
1911C4×Q8—531no—
1912C4×Q8—531no—
1913C4×Q8—532no—
1914C4×Q8—531no—
1915C4×Q8—532no—
1916C4×Q8—532no—
1917C4×Q8—534no—
1918C4×Q8—531no—
1919C4×Q8—532no—
1920C4×Q8—532no—
1921C4×Q8—532no—
1922C4×Q8—532no—
1923C4×Q8—532no—
1924C4×Q8—534no—
1925C4×Q8—534no—
1926C4×Q8—532no—
1927C4×Q8—531no—
1928C4×Q8—532no—
1929C4×Q8—532no—
1930C4×Q8—534no—
1931C4×Q8—534no—
1932C4×Q8—532no—
1933C4×Q8C22×D5311yescharacteristic
1934C4×Q8C22×D5312yes—
1935C4×Q8C22×D5312yes—
1936C4×Q8C22×D5311yescharacteristic
1937C4×Q8C22×D5311yescharacteristic
1938C4×Q8C22×D5312yes—
1939C4×Q8C22×D5312yes—
1940C4×Q8C22×D5312yes—
1941C4×Q8C22×D5312yes—
1942C4×Q8C22×D5312yes—
1943C4×Q8C22×D5314yes—
1944C4×Q8C22×D5312yes—
1945C4×D4—531no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—534no—
1951C4×D4—534no—
1952C4×D4—534no—
1953C4×D4—531no—
1954C4×D4—532no—
1955C4×D4—532no—
1956C4×D4—531no—
1957C4×D4—532no—
1958C4×D4—532no—
1959C4×D4—532no—
1960C4×D4—531no—
1961C4×D4—532no—
1962C4×D4—534no—
1963C4×D4—532no—
1964C4×D4—534no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—532no—
1968C4×D4—532no—
1969C4×D4—532no—
1970C4×D4—534no—
1971C4×D4—534no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—534no—
1975C4×D4—534no—
1976C4×D4—534no—
1977C4×D4—534no—
1978C4×D4—532no—
1979C4×D4—534no—
1980C4×D4—534no—
1981C4×D4—532no—
1982C4×D4—532no—
1983C4×D4—532no—
1984C4×D4—534no—
1985C4×D4—532no—
1986C4×D4—532no—
1987C4×D4—534no—
1988C4×D4—532no—
1989C4×D4—532no—
1990C4×D4—534no—
1991C4×D4—531no—
1992C4×D4—532no—
1993C4×D4—534no—
1994C4×D4—532no—
1995C4×D4—532no—
1996C4×D4—532no—
1997C4×D4—532no—
1998C4×D4—534no—
1999C4×D4—532no—
2000C4×D4—531no—
2001C4×D4—532no—
2002C4×D4—532no—
2003C4×D4—531no—
2004C4×D4—534no—
2005C4×D4—534no—
2006C4×D4—534no—
2007C4×D4—534no—
2008C4×D4—532no—
2009C4×D4—534no—
2010C4×D4—534no—
2011C4×D4—534no—
2012C4×D4—534no—
2013C4×D4—534no—
2014C4×D4—534no—
2015C4×D4—532no—
2016C4×D4—532no—
2017C4×D4—532no—
2018C4×D4C22×D5311yescharacteristic
2019C4×D4C22×D5312yes—
2020C4×D4C22×D5312yes—
2021#117—532no—
2022#117—534no—
2023#117—532no—
2024#117—532no—
2025#117—532no—
2026#117—532no—
2027#117—531no—
2028#117—532no—
2029#117—531no—
2030#117—532no—
2031#117—532no—
2032#117—534no—
2033#117—534no—
2034#117—532no—
2035#117—532no—
2036#117—532no—
2037#117—532no—
2038#117—534no—
2039#117—534no—
2040#117—532no—
2041#117—534no—
2042#117—532no—
2043#117—532no—
2044#117—532no—
2045#117—532no—
2046#117—532no—
2047#117—532no—
2048#117—534no—
2049#117—534no—
2050#117—534no—
2051#117—534no—
2052#117—534no—
2053#117—534no—
2054#117—534no—
2055#117—534no—
2056#117—534no—
2057#117C22×D5312yes—
2058#117C22×D5312yes—
2059#117C22×D5312yes—
2060#117C22×D5312yes—
2061#117C22×D5314yes—
2062C2×C4⋊C4—532no—
2063C2×C4⋊C4—532no—
2064C2×C4⋊C4—532no—
2065C2×C4⋊C4—531no—
2066C2×C4⋊C4—531no—
2067C2×C4⋊C4—532no—
2068C2×C4⋊C4—534no—
2069C2×C4⋊C4—532no—
2070C2×C4⋊C4—532no—
2071C2×C4⋊C4—532no—
2072C2×C4⋊C4—534no—
2073C2×C4⋊C4—534no—
2074C2×C4⋊C4—534no—
2075C2×C4⋊C4—534no—
2076C2×C4⋊C4—534no—
2077C2×C4⋊C4C22×D5312yes—
2078C2×C22⋊C4—534no—
2079C2×C22⋊C4—532no—
2080C2×C22⋊C4—532no—
2081C2×C22⋊C4—532no—
2082C2×C22⋊C4—532no—
2083C2×C22⋊C4—532no—
2084C2×C22⋊C4—534no—
2085C2×C22⋊C4—534no—
2086C2×C22⋊C4—534no—
2087C2×C22⋊C4—534no—
2088C2×C22⋊C4—534no—
2089C2×C22⋊C4—534no—
2090C2×C42—531no—
2091C2×C42—531no—
2092C2×C42—531no—
2093C2×C42—531no—
2094C2×C42—532no—
2095C2×C42—531no—
2096C2×C42—532no—
2097C2×C42—532no—
2098C2×C42—534no—
2099C2×C42—531no—
2100C2×C42—531no—
2101C2×C42—531no—
2102C2×C42—531no—
2103C2×C42—531no—
2104C2×C42—531no—
2105C2×C42C22×D5311yescharacteristic
2106C24—532no—
2107C24—531no—
2108C24—534no—
2109#41—2124no—
2110#41—2124no—
2111#41—2124no—
2112#41—2124no—
2113#41—2124no—
2114#41—2128no—
2115#41—2124no—
2116#41—2122no—
2117#41—2124no—
2118#41—2122no—
2119#41—2124no—
2120#41—2124no—
2121C2×Q8—531no—
2122C2×Q8—532no—
2123C2×Q8—534no—
2124C2×Q8—532no—
2125C2×Q8—532no—
2126C2×Q8—534no—
2127C2×Q8—2122no—
2128C2×Q8—2124no—
2129C2×Q8—2124no—
2130C2×Q8C23×D5311yescharacteristic
2131C2×Q8C23×D5312yes—
2132C2×Q8C23×D5311yescharacteristic
2133C2×Q8C23×D5311yescharacteristic
2134C2×Q8C23×D5312yes—
2135C2×Q8C23×D5312yes—
2136C2×Q8C23×D5314yes—
2137C2×D4—532no—
2138C2×D4—534no—
2139C2×D4—532no—
2140C2×D4—532no—
2141C2×D4—534no—
2142C2×D4—534no—
2143C2×D4—532no—
2144C2×D4—532no—
2145C2×D4—532no—
2146C2×D4—534no—
2147C2×D4—532no—
2148C2×D4—531no—
2149C2×D4—532no—
2150C2×D4—531no—
2151C2×D4—532no—
2152C2×D4—531no—
2153C2×D4—532no—
2154C2×D4—532no—
2155C2×D4—532no—
2156C2×D4—532no—
2157C2×D4—534no—
2158C2×D4—534no—
2159C2×D4—534no—
2160C2×D4—534no—
2161C2×D4—534no—
2162C2×D4—534no—
2163C2×D4—532no—
2164C2×D4—534no—
2165C2×D4—534no—
2166C2×D4—532no—
2167C2×D4—2124no—
2168C2×D4—2128no—
2169C2×D4—2122no—
2170C2×D4—2124no—
2171C2×D4—2124no—
2172C2×D4C23×D5311yescharacteristic
2173C2×D4C23×D5312yes—
2174C22×C4—531no—
2175C22×C4—531no—
2176C22×C4—531no—
2177C22×C4—532no—
2178C22×C4—531no—
2179C22×C4—531no—
2180C22×C4—531no—
2181C22×C4—531no—
2182C22×C4—531no—
2183C22×C4—531no—
2184C22×C4—532no—
2185C22×C4—532no—
2186C22×C4—532no—
2187C22×C4—532no—
2188C22×C4—531no—
2189C22×C4—531no—
2190C22×C4—531no—
2191C22×C4—531no—
2192C22×C4—531no—
2193C22×C4—531no—
2194C22×C4—532no—
2195C22×C4—532no—
2196C22×C4—532no—
2197C22×C4—534no—
2198C22×C4—534no—
2199C22×C4—534no—
2200C22×C4—532no—
2201C22×C4—532no—
2202C22×C4—532no—
2203C22×C4—534no—
2204C22×C4—534no—
2205C22×C4—534no—
2206C22×C4—534no—
2207C22×C4—534no—
2208C22×C4—534no—
2209C22×C4—534no—
2210C22×C4—534no—
2211C22×C4—532no—
2212C22×C4—2124no—
2213C22×C4—2122no—
2214C22×C4—2122no—
2215C22×C4—2122no—
2216C22×C4C23×D5311yescharacteristic
2217C22×C4C23×D5311yescharacteristic
2218C22×C4C23×D5312yes—
2219C22×C4C23×D5311yescharacteristic
2220C22×C4C23×D5314yes—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—532no—
2225C4⋊C4—531no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—532no—
2229C4⋊C4—531no—
2230C4⋊C4—532no—
2231C4⋊C4—534no—
2232C4⋊C4—534no—
2233C4⋊C4—534no—
2234C4⋊C4—534no—
2235C4⋊C4—532no—
2236C4⋊C4—532no—
2237C4⋊C4—531no—
2238C4⋊C4—532no—
2239C4⋊C4—534no—
2240C4⋊C4—534no—
2241C4⋊C4—534no—
2242C4⋊C4—532no—
2243C4⋊C4—532no—
2244C4⋊C4—532no—
2245C4⋊C4—532no—
2246C4⋊C4—532no—
2247C4⋊C4—534no—
2248C4⋊C4—534no—
2249C4⋊C4—532no—
2250C4⋊C4—532no—
2251C4⋊C4—531no—
2252C4⋊C4—532no—
2253C4⋊C4—534no—
2254C4⋊C4—532no—
2255C4⋊C4—532no—
2256C4⋊C4—534no—
2257C4⋊C4—532no—
2258C4⋊C4—534no—
2259C4⋊C4—532no—
2260C4⋊C4—532no—
2261C4⋊C4—532no—
2262C4⋊C4—534no—
2263C4⋊C4—534no—
2264C4⋊C4C23×D5311yescharacteristic
2265C4⋊C4C23×D5312yes—
2266C4⋊C4C23×D5314yes—
2267C4⋊C4C23×D5312yes—
2268C4⋊C4C23×D5311yescharacteristic
2269C4⋊C4C23×D5312yes—
2270C4⋊C4C23×D5312yes—
2271C4⋊C4C23×D5312yes—
2272C4⋊C4C23×D5312yes—
2273C4⋊C4C23×D5314yes—
2274C4⋊C4C23×D5314yes—
2275C4⋊C4C23×D5314yes—
2276C4⋊C4C23×D5314yes—
2277C4⋊C4C23×D5312yes—
2278C4⋊C4C23×D5311yescharacteristic
2279C4⋊C4C23×D5312yes—
2280C4⋊C4C23×D5311yescharacteristic
2281C4⋊C4C23×D5312yes—
2282C4⋊C4C23×D5312yes—
2283C4⋊C4C23×D5312yes—
2284C4⋊C4C23×D5312yes—
2285C4⋊C4C23×D5314yes—
2286C4⋊C4C23×D5314yes—
2287C4⋊C4C23×D5312yes—
2288C4⋊C4C23×D5314yes—
2289C4⋊C4C23×D5314yes—
2290C4⋊C4C23×D5314yes—
2291C4⋊C4C23×D5312yes—
2292C4⋊C4C23×D5312yes—
2293C22⋊C4—532no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—532no—
2297C22⋊C4—534no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—532no—
2301C22⋊C4—532no—
2302C22⋊C4—532no—
2303C22⋊C4—532no—
2304C22⋊C4—534no—
2305C22⋊C4—532no—
2306C22⋊C4—532no—
2307C22⋊C4—534no—
2308C22⋊C4—532no—
2309C22⋊C4—534no—
2310C22⋊C4—534no—
2311C22⋊C4—534no—
2312C22⋊C4—532no—
2313C22⋊C4—532no—
2314C22⋊C4—532no—
2315C22⋊C4—532no—
2316C22⋊C4—534no—
2317C22⋊C4—534no—
2318C22⋊C4—534no—
2319C22⋊C4—532no—
2320C22⋊C4—532no—
2321C22⋊C4—532no—
2322C22⋊C4—534no—
2323C22⋊C4—534no—
2324C22⋊C4—532no—
2325C22⋊C4—532no—
2326C22⋊C4—532no—
2327C22⋊C4—534no—
2328C22⋊C4—534no—
2329C22⋊C4—532no—
2330C22⋊C4—532no—
2331C22⋊C4—532no—
2332C22⋊C4—532no—
2333C22⋊C4—534no—
2334C22⋊C4—534no—
2335C22⋊C4—532no—
2336C22⋊C4—534no—
2337C22⋊C4—534no—
2338C22⋊C4—534no—
2339C22⋊C4—534no—
2340C22⋊C4—532no—
2341C22⋊C4—534no—
2342C22⋊C4—534no—
2343C22⋊C4—532no—
2344C22⋊C4—532no—
2345C22⋊C4—534no—
2346C22⋊C4—534no—
2347C22⋊C4C23×D5312yes—
2348C22⋊C4C23×D5314yes—
2349C22⋊C4C23×D5314yes—
2350C22⋊C4C23×D5312yes—
2351C22⋊C4C23×D5312yes—
2352C22⋊C4C23×D5314yes—
2353C22⋊C4C23×D5312yes—
2354C22⋊C4C23×D5312yes—
2355C22⋊C4C23×D5312yes—
2356C22⋊C4C23×D5314yes—
2357C22⋊C4C23×D5312yes—
2358C42—531no—
2359C42—531no—
2360C42—531no—
2361C42—531no—
2362C42—531no—
2363C42—531no—
2364C42—531no—
2365C42—531no—
2366C42—531no—
2367C42—531no—
2368C42—531no—
2369C42—531no—
2370C42—532no—
2371C42—532no—
2372C42—532no—
2373C42—534no—
2374C42—534no—
2375C42—532no—
2376C42—532no—
2377C42—532no—
2378C42—532no—
2379C42—534no—
2380C42—534no—
2381C42—534no—
2382C42C23×D5311yescharacteristic
2383C42C23×D5311yescharacteristic
2384C42C23×D5311yescharacteristic
2385C42C23×D5311yescharacteristic
2386C42C23×D5314yes—
2387C42C23×D5312yes—
2388C42C23×D5312yes—
2389C42C23×D5312yes—
2390C42C23×D5314yes—
2391C42C23×D5314yes—
2392C42C23×D5314yes—
2393C23—531no—
2394C23—532no—
2395C23—534no—
2396C23—531no—
2397C23—532no—
2398C23—532no—
2399C23—1064no—
2400C23—1062no—
2401C23—2124no—
2402C23—2124no—
2403C23—2124no—
2404C23—2122no—
2405C23—2122no—
2406C23—2121no—
2407C23—2121no—
2408C23C24×D5312yes—
2409C23C24×D5311yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—24no—
2413Q8—22no—
2414Q8—42no—
2415Q8—42no—
2416Q8—44no—
2417Q8—1062no—
2418Q8—1064no—
2419Q8—2122no—
2420Q8—2124no—
2421Q8—2124no—
2422Q8—2122no—
2423D4—22no—
2424D4—42no—
2425D4—1064no—
2426D4—1068no—
2427D4—1064no—
2428D4—1062no—
2429D4—1064no—
2430D4—1064no—
2431D4—1062no—
2432D4—1062no—
2433D4—2124no—
2434D4—2124no—
2435D4—2122no—
2436D4—2124no—
2437D4—2122no—
2438D4—2122no—
2439D4—2124no—
2440D4—2122no—
2441D4—2124no—
2442D4—2122no—
2443D4—2124no—
2444D4—2124no—
2445D4—2124no—
2446D4—2122no—
2447D4—2122no—
2448D4—2122no—
2449D4—2122no—
2450D4—2124no—
2451D4—2122no—
2452D4—2122no—
2453D4—2124no—
2454D4—2124no—
2455C2×C4—24no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—41no—
2459C2×C4—44no—
2460C2×C4—531no—
2461C2×C4—531no—
2462C2×C4—531no—
2463C2×C4—531no—
2464C2×C4—531no—
2465C2×C4—532no—
2466C2×C4—532no—
2467C2×C4—531no—
2468C2×C4—534no—
2469C2×C4—532no—
2470C2×C4—532no—
2471C2×C4—532no—
2472C2×C4—1062no—
2473C2×C4—1062no—
2474C2×C4—1064no—
2475C2×C4—1062no—
2476C2×C4—1062no—
2477C2×C4—1064no—
2478C2×C4—1062no—
2479C2×C4—1062no—
2480C2×C4—1064no—
2481C2×C4—1064no—
2482C2×C4—2121no—
2483C2×C4—2121no—
2484C2×C4—2121no—
2485C2×C4—2121no—
2486C2×C4—2122no—
2487C2×C4—2122no—
2488C2×C4—2121no—
2489C2×C4—2121no—
2490C2×C4—2122no—
2491C2×C4—2124no—
2492C2×C4—2124no—
2493C2×C4—2122no—
2494C2×C4—2124no—
2495C2×C4—2124no—
2496C2×C4—2122no—
2497C2×C4—2124no—
2498C2×C4—2124no—
2499C2×C4—2124no—
2500C2×C4—2122no—
2501C2×C4—2124no—
2502C2×C4—2124no—
2503C2×C4—2124no—
2504C2×C4—2124no—
2505C2×C4—2122no—
2506C2×C4—2121no—
2507C2×C4—2121no—
2508C2×C4—2122no—
2509C2×C4—2121no—
2510C2×C4C24×D5312yes—
2511C2×C4C24×D5312yes—
2512C2×C4C24×D5311yescharacteristic
2513C2×C4C24×D5311yescharacteristic
2514C2×C4C24×D5311yescharacteristic
2515C2×C4C24×D5314yes—
2516C2×C4C24×D5311yescharacteristic
2517C2×C4C24×D5312yes—
2518C2×C4C24×D5312yes—
2519C2×C4C24×D5312yes—
2520C2×C4C24×D5314yes—
2521C2×C4C24×D5312yes—
2522C2×C4C24×D5312yes—
2523C2×C4C24×D5311yescharacteristic
2524C2×C4C24×D5311yescharacteristic
2525C22—22no—
2526C22—21no—
2527C22—21no—
2528C22—21no—
2529C22—22no—
2530C22—22no—
2531C22—532no—
2532C22—8484no—
2533C22—1061no—
2534C22—1061no—
2535C22—1062no—
2536C22—1064no—
2537C22—1061no—
2538C22—1062no—
2539C22—1062no—
2540C22—1062no—
2541C22—1062no—
2542C22—1061no—
2543C22—1061no—
2544C22—1062no—
2545C22—1062no—
2546C22—1064no—
2547C22—1064no—
2548C22—1062no—
2549C22—1062no—
2550C22—4244no—
2551C22—2124no—
2552C22C25×D5311yescharacteristic
2553C4—22no—
2554C4—21no—
2555C4—21no—
2556C4—24no—
2557C4—22no—
2558C4—22no—
2559C4—21no—
2560C4—22no—
2561C4—21no—
2562C4—22no—
2563C4—22no—
2564C4—24no—
2565C4—22no—
2566C4—1061no—
2567C4—1061no—
2568C4—1062no—
2569C4—1061no—
2570C4—1061no—
2571C4—1061no—
2572C4—1062no—
2573C4—1062no—
2574C4—1061no—
2575C4—1062no—
2576C4—1064no—
2577C4—1062no—
2578C4#1681146012yes—
2579C4#1681146012yes—
2580C2—42no—
2581C2—41no—
2582C2—1062no—
2583C2—2122no—
2584C2—2124no—
2585C2—2122no—
2586C2—2121no—
2587C2—2122no—
2588C2#585×D5311yescharacteristic
2589C2C2×#1681146011yescharacteristic
2590C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3555C2
hypercenter#3555D53
hypocenterC53#62827
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3555

Complements

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

NH ≅ G/Ntype
1. #20289396C2semidirect
2. #20289378C2semidirect
3. #20289356C2semidirect
4. #20289309C2semidirect
5. #20289186C2semidirect
6. #20289098C2semidirect
7. #20289089C2semidirect
8. #20289027C2semidirect
9. #20289014C2semidirect
10. #20288891C2semidirect
11. #20288827C2semidirect
12. #20288821C2semidirect
13. #20288808C2semidirect
14. #20288801C2semidirect
15. #20288789C2semidirect
16. #20288788C2semidirect
17. #20288782C2semidirect
18. #20288763C2semidirect
19. #20288748C2semidirect
20. #20288733C2semidirect
21. #20288722C2semidirect
22. #20288696C2semidirect
23. #20288692C2semidirect
24. #20288679C2semidirect
25. #20288679C2semidirect
26. #20288638C2semidirect
27. #20288607C2semidirect
28. #20288568C2semidirect
29. #20288555C2semidirect
30. #20288459C2semidirect
31. #20288453C2semidirect
32. #20288012C2semidirect
33. #20288012C2semidirect
34. #529×D53C2semidirect
35. C53×#3555C2semidirect
36. #16811377C22semidirect
37. #16811371C22semidirect
38. #16811369C22semidirect
39. #16811369C22semidirect
40. #16811369C22semidirect
41. #16811364C22semidirect
42. #16811363C22semidirect
43. #16811358C22semidirect
44. #16811358C22semidirect
45. #16811358C22semidirect
46. #16811358C22semidirect
47. #16811357C22semidirect
48. #16811355C22semidirect
49. #16811351C22semidirect
50. #16811350C22semidirect
51. #16811347C22semidirect
52. #16811347C22semidirect
53. #16811346C22semidirect
54. #16811346C22semidirect
55. #16811345C22semidirect
56. #16811344C22semidirect
57. #16811340C22semidirect
58. #16811339C22semidirect
59. #16811339C22semidirect
60. #16811339C22semidirect
61. #16811336C22semidirect
62. #16811336C22semidirect
63. #16811336C22semidirect
64. #16811334C22semidirect
65. #16811334C22semidirect
66. #16811333C22semidirect
67. #16811333C22semidirect
68. #16811329C22semidirect
70. #16811326C22semidirect
71. #16811326C22semidirect
72. #16811326C22semidirect
73. #16811326C22semidirect
74. #16811326C22semidirect
75. #16811326C22semidirect
76. #16811326C22semidirect
77. #16811324C22semidirect
78. #16811324C22semidirect
79. #16811324C22semidirect
80. #16811324C22semidirect
81. #16811324C22semidirect
83. #16811321C22semidirect
84. #16811317C22semidirect
85. #16811314C22semidirect
86. #16811314C22semidirect
87. #16811314C22semidirect
88. #16811312C22semidirect
89. #16811311C22semidirect
90. #16811311C22semidirect
91. #16811309C22semidirect
92. #16811308C22semidirect
93. #16811307C22semidirect
94. #16811305C22semidirect
95. #16811305C22semidirect
96. #16811305C22semidirect
97. #16811305C22semidirect
98. #16811305C22semidirect
99. #16811303C22semidirect
100. #16811300C22semidirect
101. #16811300C22semidirect
102. #16811298C22semidirect
103. #16811298C22semidirect
104. #16811298C22semidirect
105. #16811298C22semidirect
106. #16811298C22semidirect
107. #16811298C22semidirect
108. #16811297C22semidirect
109. #16811296C22semidirect
110. #16811295C22semidirect
111. #16811295C22semidirect
112. #16811295C22semidirect
113. #16811295C22semidirect
114. #16811294C22semidirect
115. Q8×D212C22semidirect
116. #16811288C22semidirect
117. #16811288C22semidirect
118. #16811285C22semidirect
119. #16811285C22semidirect
120. #16811285C22semidirect
121. #16811285C22semidirect
122. #16811283C22semidirect
123. #16811283C22semidirect
124. #16811278C22semidirect
125. #16811276C22semidirect
126. #16811276C22semidirect
127. #16811276C22semidirect
128. #16811276C22semidirect
129. #16811276C22semidirect
130. #16811275C22semidirect
131. #16811275C22semidirect
132. #16811269C22semidirect
135. #16811266C22semidirect
137. #16811264C22semidirect
138. #16811264C22semidirect
139. #16811264C22semidirect
140. #16811264C22semidirect
142. D4×D212C22semidirect
143. #16811253C22semidirect
144. #16811247C22semidirect
145. #16811247C22semidirect
146. #16811247C22semidirect
147. #16811247C22semidirect
148. #16811247C22semidirect
149. #16811247C22semidirect
150. #16811246C22semidirect
151. #16811246C22semidirect
152. #16811245C22semidirect
153. #16811244C22semidirect
154. #16811244C22semidirect
155. #16811242C22semidirect
156. #16811239C22semidirect
157. #16811234C22semidirect
158. #16811234C22semidirect
159. #16811233C22semidirect
160. #16811232C22semidirect
161. #16811229C22semidirect
162. #16811229C22semidirect
163. #16811229C22semidirect
164. #16811229C22semidirect
165. #16811229C22semidirect
166. #16811228C22semidirect
167. #16811225C22semidirect
168. #16811221C22semidirect
169. #16811221C22semidirect
170. #16811221C22semidirect
171. #16811219C22semidirect
172. #16811219C22semidirect
173. #16811214C22semidirect
174. #16811214C22semidirect
175. #16811213C22semidirect
176. #16811212C22semidirect
177. #16811212C22semidirect
178. #16811212C22semidirect
179. #16811212C22semidirect
180. #16811212C22semidirect
181. #16811212C22semidirect
182. #16811212C22semidirect
183. #16811207C22semidirect
184. #16811203C22semidirect
185. #16811203C22semidirect
186. #16811198C22semidirect
187. #16811196C22semidirect
188. #16811192C22semidirect
189. #16811191C22semidirect
191. #16811184C22semidirect
192. #16811178C22semidirect
193. #16811178C22semidirect
194. #16811178C22semidirect
195. #16811178C22semidirect
196. #16811178C22semidirect
197. #16811177C22semidirect
200. #16811174C22semidirect
201. #16811174C22semidirect
202. #16811174C22semidirect
203. #16811174C22semidirect
204. #16811173C22semidirect
205. #16811173C22semidirect
207. #16811160C22semidirect
208. #16811160C22semidirect
209. #16811160C22semidirect
210. #16811160C22semidirect
211. #16811160C22semidirect
212. #16811160C22semidirect
213. #16811160C22semidirect
214. #16811160C22semidirect
215. #16811160C22semidirect
216. #16811160C22semidirect
217. #16811159C22semidirect
218. #16811159C22semidirect
219. #16811159C22semidirect
220. #16811159C22semidirect
221. #16811159C22semidirect
222. #16811159C22semidirect
224. #16811158C22semidirect
225. #16811158C22semidirect
226. #16811158C22semidirect
227. #16811158C22semidirect
228. #16811158C22semidirect
229. #16811158C22semidirect
230. #16811157C22semidirect
231. #16811156C22semidirect
233. #16811155C22semidirect
235. #16811153C22semidirect
237. #16811151C22semidirect
238. #16811151C22semidirect
239. #16811150C22semidirect
240. #126×D53C22semidirect
241. #126×D53C22semidirect
242. #125×D53C22semidirect
243. #125×D53C22semidirect
245. #124×D53C22semidirect
248. #16811136C22semidirect
249. #16811136C22semidirect
250. #16811136C22semidirect
251. #16811136C22semidirect
252. #16811135C22semidirect
253. #16811135C22semidirect
254. #16811135C22semidirect
255. #123×D53C22semidirect
256. C22⋊Q8×D53C22semidirect
257. C22⋊Q8×D53C22semidirect
260. #16811105C22semidirect
261. #16811105C22semidirect
262. #16811105C22semidirect
263. #16811105C22semidirect
264. #16811104C22semidirect
265. #16811099C22semidirect
266. #16811099C22semidirect
267. #16811097C22semidirect
268. #16811097C22semidirect
269. #16811095C22semidirect
270. C4×#11719949C22semidirect
271. C4×#11719949C22semidirect
272. C4×#11719949C22semidirect
273. C4×#11719949C22semidirect
274. C4×#11719949C22semidirect
275. #16811091C22semidirect
276. #16811091C22semidirect
277. C4×Q8×D53C22semidirect
279. C4×D4×D53C22semidirect
280. #117×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#563C22semidirect
283. Q82×C53C22semidirect
284. C53×#557C22semidirect
285. C53×#557C22semidirect
286. C53×#556C22semidirect
287. C53×#556C22semidirect
288. C53×#556C22semidirect
289. C53×#554C22semidirect
290. C53×#552C22semidirect
291. C53×#544C22semidirect
293. C53×#541C22semidirect
294. C53×#541C22semidirect
295. C53×#541C22semidirect
296. C53×#533C22semidirect
297. C53×#533C22semidirect
1289. #3555D53semidirect
1332. #563C2×D53semidirect
1345. Q82C2×D53semidirect
1348. #557C2×D53semidirect
1349. #557C2×D53semidirect
1357. #556C2×D53semidirect
1358. #556C2×D53semidirect
1359. #556C2×D53semidirect
1371. #554C2×D53semidirect
1402. #552C2×D53semidirect
1448. #544C2×D53semidirect
1467. #541C2×D53semidirect
1468. #541C2×D53semidirect
1469. #541C2×D53semidirect
1507. #533C2×D53semidirect
1508. #533C2×D53semidirect
1594. C53#62827semidirect

Maximal subgroups

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

subgroupindex
#202893962
#202893782
#202893562
#202893092
#202891862
#202890982
#202890892
#202890272
#202890142
#202888912
#202888272
#202888212
#202888082
#202888012
#202887892
#202887882
#202887822
#202887632
#202887482
#202887332
#202887222
#202886962
#202886922
#202886792
#202886382
#202886072
#202885682
#202885552
#202884592
#202884532
#202880122
#529×D532
C53×#35552
#6282753