Finite Group Databasebeta

← #28293242

Subgroups — #28293242

Order 13568.

7086 conjugacy classes of subgroups.

The subgroup lattice has 2690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288638C212yesmaximal, complemented
2#20288630C212yesmaximal, complemented
3#20288629C212yesmaximal, complemented
4#20288629C212yesmaximal, complemented
5#20288627C212yesmaximal, complemented
6#20288623C212yesmaximal, complemented
7#20288620C212yesmaximal, complemented
8#20288619C212yesmaximal, complemented
9#20288555C214yesmaximal, complemented
10#20288546C214yesmaximal, complemented
11#20288464C211yesmaximal, characteristic, complemented
12#20288461C211yesmaximal, characteristic, complemented
13#20288458C214yesmaximal, complemented
14#20288457C211yesmaximal, characteristic, complemented
15#20288453C211yesmaximal, characteristic, complemented
16#20288452C211yesmaximal, characteristic, complemented
17#20288451C211yesmaximal, characteristic, complemented
18#20288450C211yesmaximal, characteristic, complemented
19#20288441C214yesmaximal, complemented
20#20288433C212yesmaximal, complemented
21#20288429C212yesmaximal, complemented
22#20288423C212yesmaximal, complemented
23#20288415C212yesmaximal, complemented
24#20288147C212yesmaximal, complemented
25#20288146C212yesmaximal, complemented
26#20288136C212yesmaximal, complemented
27#20288135C212yesmaximal, complemented
28#544×D53C211yesmaximal, characteristic, complemented
29#20288047C211yesmaximal, characteristic, complemented
30#20288045C211yesmaximal, characteristic, complemented
31C2×#16811203C211yesmaximal, characteristic, complemented
32#20287917C211yesmaximal, characteristic, complemented
33#20287916C211yesmaximal, characteristic, complemented
34#520×D53C211yesmaximal, characteristic, complemented
35C53×#3495C211yesmaximal, characteristic, complemented
36C22×#11719949C2211yescharacteristic
37C22×#11719945C2211yescharacteristic
38C2×#41×D53C2211yescharacteristic
39#16811346C2212yescomplemented
40#16811345C2214yescomplemented
41#16811344C2212yescomplemented
42#16811344C2212yescomplemented
43#16811340C2214yescomplemented
44#16811339C2212yescomplemented
45#16811338C2212yescomplemented
46#16811336C2212yescomplemented
47#16811336C2212yescomplemented
48#16811336C2214yescomplemented
49#16811335C2214yescomplemented
50#16811333C2212yescomplemented
51#16811331C2212yescomplemented
52#16811331C2212yescomplemented
53#16811329C2214yescomplemented
54#16811327C2214yescomplemented
55#16811326C2214yescomplemented
56#16811326C2214yescomplemented
57#16811326C2214yescomplemented
58#16811326C2212yescomplemented
59#16811326C2212yescomplemented
60#16811324C2214yescomplemented
61#16811324C2214yescomplemented
62#16811324C2214yescomplemented
63#16811324C2214yescomplemented
64#16811324C2214yescomplemented
65#16811324C2214yescomplemented
66#16811323C2214yescomplemented
67#16811322C2214yescomplemented
68#16811321C2212yescomplemented
69#16811321C2212yescomplemented
70#16811319C2212yescomplemented
71#16811319C2212yescomplemented
72#16811318C2214yescomplemented
73#16811318C2214yescomplemented
74#16811318C2214yescomplemented
75#16811317C2214yescomplemented
76#16811317C2214yescomplemented
77#16811317C2212yescomplemented
78#16811317C2212yescomplemented
79#16811315C2212yescomplemented
80#16811315C2212yescomplemented
81#16811314C2212yescomplemented
82#16811314C2212yescomplemented
83#16811310C2214yescomplemented
84#16811309C2214yescomplemented
85#16811308C2214yescomplemented
86#16811307C2212yescomplemented
87#16811307C2212yescomplemented
88#16811306C2214yescomplemented
89#16811306C2214yescomplemented
90#16811305C2214yescomplemented
91#16811305C2214yescomplemented
92#16811302C2214yescomplemented
93#16811300C2214yescomplemented
94#16811299C2214yescomplemented
95#16811297C2214yescomplemented
96#16811297C2214yescomplemented
97#16811296C2214yescomplemented
98#16811296C2214yescomplemented
99#16811285C2214yescomplemented
100#16811283C2214yescomplemented
101#16811283C2214yescomplemented
102#16811281C2214yescomplemented
103#16811277C2212yescomplemented
104#16811276C2212yescomplemented
105#16811275C2214yescomplemented
106#16811274C2212yescomplemented
107#16811274C2212yescomplemented
108#16811271C2214yescomplemented
109#16811269C2214yescomplemented
110#16811264C2214yescomplemented
111#16811263C2214yescomplemented
112#16811260C2214yescomplemented
113#16811254C2211yescharacteristic, complemented
114#16811253C2212yescomplemented
115#16811253C2212yescomplemented
116#16811252C2214yescomplemented
117#16811251C2211yescharacteristic, complemented
118#16811251C2211yescharacteristic, complemented
119#16811250C2212yescomplemented
120#16811250C2212yescomplemented
121#16811247C2212yescomplemented
122#16811246C2212yescomplemented
123#16811246C2212yescomplemented
124#16811245C2212yescomplemented
125#16811245C2212yescomplemented
126#16811244C2212yescomplemented
127#16811243C2214yescomplemented
128#16811243C2214yescomplemented
129#16811242C2212yescomplemented
130#16811239C2214yescomplemented
131#16811239C2214yescomplemented
132#16811234C2212yescomplemented
133#16811233C2212yescomplemented
134#16811232C2214yescomplemented
135#16811232C2214yescomplemented
136#16811231C2212yescomplemented
137#16811229C2212yescomplemented
138#16811228C2212yescomplemented
139#16811226C2212yescomplemented
140#16811225C2214yescomplemented
141#16811225C2214yescomplemented
142#16811224C2212yescomplemented
143#16811221C2214yescomplemented
144#16811221C2214yescomplemented
145#16811219C2214yescomplemented
146#16811214C2214yescomplemented
147#16811212C2214yescomplemented
148#16811212C2214yescomplemented
149#16811209C2214yescomplemented
150#16811207C2214yescomplemented
151#16811203C2212yes—
152#16811203C2212yes—
153#16811203C2212yes—
154#16811203C2212yes—
155#16811203C2212yescomplemented
156#16811203C2212yescomplemented
157#16811203C2212yescomplemented
158#16811203C2212yescomplemented
159#16811203C2211yescharacteristic, complemented
160#16811203C2211yescharacteristic, complemented
161#16811203C2212yescomplemented
162#16811203C2212yescomplemented
163#16811202C2211yescharacteristic, complemented
164#16811202C2211yescharacteristic, complemented
165#16811198C2212yescomplemented
166#16811197C2211yescharacteristic
167#16811196C2211yescharacteristic, complemented
168#16811196C2211yescharacteristic, complemented
169#16811195C2212yes—
170#16811192C2211yescharacteristic
171#16811191C2212yescomplemented
172#16811189C2211yescharacteristic, complemented
173#16811189C2211yescharacteristic, complemented
174#16811188C2212yes—
175#16811187C2211yescharacteristic
176#16811184C2214yes—
177#16811184C2212yes—
178#16811183C2212yes—
179#16811179C2214yescomplemented
180#16811178C2212yescomplemented
181#16811177C2214yescomplemented
182#16811177C2212yescomplemented
183#16811175C2212yescomplemented
184#16811174C2212yescomplemented
185#16811174C2212yescomplemented
186#16811173C2212yescomplemented
187#16811172C2212yescomplemented
188#16811172C2214yescomplemented
189#16811170C2212yescomplemented
190#16811170C2212yescomplemented
191#16811170C2212yescomplemented
192#16811170C2214yescomplemented
193#16811168C2212yescomplemented
194C4⋊Q8×D53C2212yescomplemented
195C4⋊Q8×D53C2212yescomplemented
196#16811160C2214yescomplemented
197#16811160C2212yescomplemented
198#16811160C2212yescomplemented
199#16811159C2212yescomplemented
200#16811159C2212yescomplemented
201#16811158C2214yescomplemented
202#16811158C2212yescomplemented
203#16811157C2212yescomplemented
204#16811156C2214yescomplemented
205#16811156C2214yescomplemented
206#16811156C2214yescomplemented
207#16811152C2212yescomplemented
208#16811151C2214yescomplemented
209#16811151C2214yescomplemented
210#16811151C2214yescomplemented
211#125×D53C2212yescomplemented
212#125×D53C2212yescomplemented
213#16811136C2214yescomplemented
214#16811136C2212yescomplemented
215#16811136C2212yescomplemented
216#16811135C2211yescharacteristic
217#16811135C2214yescomplemented
218#16811134C2211yescharacteristic
219#16811132C2214yescomplemented
220#16811132C2212yescomplemented
221#16811132C2212yescomplemented
222#16811131C2214yes—
223#16811131C2214yescomplemented
224#16811130C2211yescharacteristic
225C2×#13133195C2212yescomplemented
226C2×#13133193C2211yescharacteristic, complemented
227C22⋊Q8×D53C2214yes—
228C2×#13133192C2212yes—
229C2×#13133192C2211yescharacteristic, complemented
230C2×#13133191C2211yescharacteristic, complemented
231C2×#13133190C2212yes—
232C2×#13133190C2212yescomplemented
233#16811106C2211yescharacteristic
234#16811105C2212yescomplemented
235#16811105C2212yescomplemented
236#16811105C2212yescomplemented
237#16811105C2212yescomplemented
238#16811105C2212yescomplemented
239#16811104C2211yescharacteristic
240#16811104C2211yescharacteristic, complemented
241#16811104C2212yescomplemented
242#16811104C2211yescharacteristic, complemented
243#16811104C2211yescharacteristic, complemented
244#16811104C2211yescharacteristic, complemented
245#16811103C2211yescharacteristic
246#16811103C2211yescharacteristic, complemented
247#16811103C2212yescomplemented
248#16811103C2211yescharacteristic, complemented
249#16811103C2211yescharacteristic, complemented
250#16811103C2211yescharacteristic, complemented
251#16811102C2214yes—
252#16811102C2212yescomplemented
253#16811101C2211yescharacteristic, complemented
254#16811100C2212yescomplemented
255#16811097C2214yes—
256#16811097C2212yes—
257#16811097C2211yescharacteristic, complemented
258#16811097C2211yescharacteristic, complemented
259#16811096C2212yes—
260#16811096C2212yescomplemented
261C4×#11719949C2212yescomplemented
262C4×#11719949C2212yescomplemented
263C4×#11719949C2212yescomplemented
264C4×#11719949C2212yescomplemented
265C4×#11719945C2212yescomplemented
266C4×#11719945C2212yescomplemented
267#16811091C2212yescomplemented
268#16811091C2212yescomplemented
269C4×Q8×D53C2212yescomplemented
270C4×D4×D53C2214yes—
271C4×D4×D53C2212yescomplemented
272C2×#13133176C2211yescharacteristic, complemented
273#117×D53C2211yescharacteristic
274#117×D53C2211yescharacteristic
275#117×D53C2211yescharacteristic
276#117×D53C2212yescomplemented
277#117×D53C2211yescharacteristic, complemented
278#117×D53C2211yescharacteristic, complemented
279#117×D53C2214yescomplemented
280C2×C4⋊C4×D53C2211yescharacteristic
281C2×C4⋊C4×D53C2212yescomplemented
282C53×#556C2212yescomplemented
283C53×#554C2212yescomplemented
284C53×#552C2214yescomplemented
285C53×#552C2212yescomplemented
286C53×#552C2212yescomplemented
287C53×#551C2214yescomplemented
288C53×#544C2211yescharacteristic, complemented
289C53×#542C2212yescomplemented
290C53×#541C2212yescomplemented
291C53×#536C2211yescharacteristic
292C53×#533C2212yescomplemented
293C53×#529C2212yescomplemented
294C53×#525C2211yescharacteristic
295C2×C22⋊Q8×C53C2211yescharacteristic, complemented
296C53×#520C2211yescharacteristic
297C53×#519C2211yescharacteristic, complemented
298C2×#117×C53C2211yescharacteristic, complemented
299C2×#11719949—28no—
300C2×#11719949C2312yes—
301C2×#11719949C2312yes—
302C2×#11719949C2312yes—
303C2×#11719949C2312yes—
304C2×#11719949C2311yescharacteristic
305C2×#11719949C2314yes—
306C2×#11719945—28no—
307C2×#11719945C2311yescharacteristic
308C2×#11719945C2311yescharacteristic
309C2×#11719945C2311yescharacteristic
310C2×#11719945C2311yescharacteristic
311C2×#11719945C2311yescharacteristic
312C2×#11719945C2311yescharacteristic
313C2×#11719945C2311yescharacteristic
314C2×#11719945C2312yes—
315C2×#11719945C2311yescharacteristic
316C2×#11719945C2311yescharacteristic
317C2×#11719945C2314yes—
318C2×#11719945C2314yes—
319C2×#11719947C2312yes—
320C2×#11719947C2311yescharacteristic
321C2×#11719947C2314yes—
322#41×D53—28no—
323C22×Dic106C2311yescharacteristic
324C2×Q8×D53C2311yescharacteristic
325C2×Q8×D53C2314yes—
326C22×D212C2312yes—
327C22×D212C2311yescharacteristic
328C22×D212C2311yescharacteristic
329C22×D212C2312yes—
330C22×C22⋊D53C2311yescharacteristic
331C22×C22⋊D53C2311yescharacteristic
332C22×C22⋊D53C2312yes—
333C2×D4×D53C2312yes—
334C2×D4×D53C2311yescharacteristic
335C22×C4×D53C2312yes—
336C22×C4×D53C2312yes—
337C22×C4×D53C2311yescharacteristic
338C22×C4×D53C2312yes—
339C22×C4×D53C2314yes—
340C22×C4×D53C2311yescharacteristic
341#13133217C2312yes—
342#13133217C2312yes—
343#13133216C2314yes—
344#13133216C2312yes—
345#13133216C2312yes—
346#13133216C2312yes—
347#13133216C2312yes—
348#13133216C2314yes—
349#13133216C2312yes—
350#13133216C2312yes—
351#13133215C2314yes—
352#13133215C2314yes—
353#13133215C2312yes—
354#13133214C2312yes—
355#13133213C2312yes—
356#13133213C2312yes—
357#13133213C2312yes—
358#13133212C2314yes—
359#13133212C2314yes—
360#13133212C2314yes—
361#13133212C2314yes—
362#13133212C2314yes—
363#13133212C2314yes—
364#13133212C2314yes—
365#13133212C2314yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133212C2314yes—
369#13133212C2314yes—
370#13133211C2314yes—
371#13133211C2314yes—
372#13133211C2314yes—
373#13133211C2314yes—
374#13133210C2314yes—
375#13133210C2314yes—
376#13133210C2314yes—
377#13133210C2314yes—
378#13133209C2314yes—
379#13133209C2312yes—
380#13133209C2312yes—
381#13133208C2312yes—
382#13133208C2312yes—
383#13133208C2314yes—
384#13133208C2314yes—
385#13133208C2312yes—
386#13133208C2312yes—
387#13133207C2314yes—
388#13133207C2314yes—
389#13133207C2314yes—
390#13133207C2314yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133207C2314yes—
394#13133207C2314yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133206C2314yes—
398#13133206C2314yes—
399#13133206C2312yes—
400#13133206C2312yes—
401#13133205C2314yes—
402#13133205C2314yes—
403#13133205C2314yes—
404#13133205C2312yes—
405#13133203C2314yes—
406#13133203C2314yes—
407#13133203C2314yes—
408#13133203C2314yes—
409#13133203C2314yes—
410#13133203C2314yes—
411#13133203C2312yes—
412#13133203C2312yes—
413#13133203C2312yes—
414#13133203C2312yes—
415#13133202C2314yes—
416#13133202C2314yes—
417#13133202C2314yes—
418#13133202C2314yes—
419#13133202C2314yes—
420#13133202C2314yes—
421#13133202C2314yes—
422#13133202C2314yes—
423#13133202C2314yes—
424#13133202C2314yes—
425#13133202C2312yes—
426#13133202C2312yes—
427#13133202C2314yes—
428#13133202C2314yes—
429#13133201C2314yes—
430#13133201C2314yes—
431#13133201C2314yes—
432#13133201C2314yes—
433#13133201C2312yes—
434#13133200C2314yes—
435#13133200C2314yes—
436#13133200C2312yes—
437#13133200C2314yes—
438#13133199C2314yes—
439#13133199C2314yes—
440#13133199C2314yes—
441#13133199C2314yes—
442#13133199C2314yes—
443#13133199C2314yes—
444#13133199C2312yes—
445#13133199C2312yes—
446#13133198C2312yes—
447#13133197C2314yes—
448#13133197C2314yes—
449#13133197C2314yes—
450#13133197C2314yes—
451#13133197C2311yescharacteristic
452#13133197C2311yescharacteristic
453#13133196C2314yes—
454#13133196C2311yescharacteristic
455#13133196C2311yescharacteristic
456#13133195C2314yes—
457#13133195C2314yes—
458#13133195C2314yes—
459#13133195C2314yes—
460#13133195C2312yes—
461#13133195C2314yes—
462#13133195C2314yes—
463#13133195C2312yes—
464#13133195C2314yes—
465#13133195C2314yes—
466#13133195C2314yes—
467#13133195C2314yes—
468#13133195C2314yes—
469#13133195C2314yes—
470#13133194C2314yes—
471#13133194C2314yes—
472#13133194C2314yes—
473#13133194C2314yes—
474#13133194C2312yes—
475#13133194C2312yes—
476#13133193C2314yes—
477#13133193C2312yes—
478#13133193C2312yes—
479#13133193C2312yes—
480#13133193C2312yes—
481#13133193C2314yes—
482#13133193C2312yes—
483#13133193C2312yes—
484#13133193C2311yescharacteristic
485#13133193C2311yescharacteristic
486#13133192C2314yes—
487#13133192C2314yes—
488#13133192C2314yes—
489#13133192C2312yes—
490#13133192C2312yes—
491#13133192C2312yes—
492#13133192C2314yes—
493#13133192C2314yes—
494#13133192C2312yes—
495#13133192C2314yes—
496#13133192C2312yes—
497#13133192C2314yes—
498#13133192C2312yes—
499#13133192C2314yes—
500#13133192C2314yes—
501#13133192C2312yes—
502#13133192C2312yes—
503#13133192C2311yescharacteristic
504#13133192C2311yescharacteristic
505#13133191C2314yes—
506#13133191C2312yes—
507#13133191C2312yes—
508#13133191C2312yes—
509#13133191C2312yes—
510#13133191C2314yes—
511#13133191C2312yes—
512#13133191C2312yes—
513#13133191C2311yescharacteristic
514#13133191C2311yescharacteristic
515#13133190C2314yes—
516#13133190C2314yes—
517#13133190C2314yes—
518#13133190C2312yes—
519#13133190C2314yes—
520#13133190C2314yes—
521#13133190C2314yes—
522#13133190C2312yes—
523#13133190C2312yes—
524#13133190C2314yes—
525#13133190C2312yes—
526#13133190C2314yes—
527#13133190C2314yes—
528#13133190C2312yes—
529#13133190C2312yes—
530#13133190C2314yes—
531#13133190C2314yes—
532#13133190C2314yes—
533#13133190C2314yes—
534#13133190C2314yes—
535#13133190C2314yes—
536#13133190C2314yes—
537#13133189C2312yes—
538#13133189C2312yes—
539#13133189C2314yes—
540#13133189C2314yes—
541#13133188C2312yes—
542#13133188C2312yes—
543#13133188C2314yes—
544#13133188C2311yescharacteristic
545#13133188C2311yescharacteristic
546#13133187C2312yes—
547#13133187C2314yes—
548#13133187C2314yes—
549#13133187C2312yes—
550#13133187C2312yes—
551#13133187C2314yes—
552#13133186C2312yes—
553#13133185C2312yes—
554#13133185C2314yes—
555#13133185C2312yes—
556#13133185C2312yes—
557Q8×Dic53C2312yes—
558Q8×Dic53C2312yes—
559Q8×Dic53C2312yes—
560Q8×Dic53C2312yes—
561Q8×Dic53C2312yes—
562C4×Dic106C2314yes—
563C4×Dic106C2312yes—
564C4×Dic106C2312yes—
565C4×Dic106C2314yes—
566C4×Dic106C2312yes—
567C4×Dic106C2312yes—
568C4×Dic106C2312yes—
569#13133182C2314yes—
570#13133182C2314yes—
571#13133182C2312yes—
572#13133182C2312yes—
573#13133182C2314yes—
574#13133182C2312yes—
575#13133182C2312yes—
576#13133182C2312yes—
577C4×D212C2314yes—
578C4×D212C2312yes—
579C4×D212C2312yes—
580C4×D212C2314yes—
581C4×D212C2312yes—
582C4×D212C2314yes—
583C4×D212C2314yes—
584C4×D212C2314yes—
585C4×D212C2312yes—
586C4×D212C2312yes—
587C4×D212C2314yes—
588C4×D212C2312yes—
589C4×D212C2312yes—
590C4×D212C2312yes—
591C4×D212C2312yes—
592C4×D212C2314yes—
593C4×D212C2314yes—
594C4×D212C2312yes—
595C4×D212C2312yes—
596D4×Dic53C2314yes—
597D4×Dic53C2312yes—
598#13133179C2314yes—
599#13133179C2312yes—
600#13133179C2314yes—
601#13133179C2314yes—
602#13133179C2312yes—
603#13133179C2314yes—
604#13133179C2314yes—
605#13133179C2314yes—
606#13133179C2312yes—
607#13133179C2314yes—
608#13133179C2312yes—
609#13133179C2312yes—
610#13133179C2312yes—
611#13133179C2312yes—
612#13133179C2314yes—
613#13133179C2314yes—
614#13133179C2312yes—
615#13133179C2312yes—
616C4×C22⋊D53C2314yes—
617C4×C22⋊D53C2312yes—
618C4×C22⋊D53C2312yes—
619C4×C22⋊D53C2312yes—
620C4×C22⋊D53C2312yes—
621C4×C22⋊D53C2314yes—
622C4×C22⋊D53C2314yes—
623C4×C22⋊D53C2312yes—
624C4×C22⋊D53C2312yes—
625C4×C22⋊D53C2312yes—
626C4×C22⋊D53C2314yes—
627C4×C22⋊D53C2312yes—
628C4×C22⋊D53C2314yes—
629C4×C22⋊D53C2312yes—
630C4×C22⋊D53C2312yes—
631C4×C22⋊D53C2312yes—
632C4×C22⋊D53C2312yes—
633#13133177C2312yes—
634#13133177C2314yes—
635#13133177C2312yes—
636#13133177C2314yes—
637#13133177C2314yes—
638#13133177C2314yes—
639#13133177C2314yes—
640#13133177C2314yes—
641#13133177C2314yes—
642#13133177C2312yes—
643#13133177C2314yes—
644#13133177C2312yes—
645#13133177C2314yes—
646#13133177C2312yes—
647#13133177C2312yes—
648#13133177C2312yes—
649#13133177C2312yes—
650#13133176C2312yes—
651#13133176C2314yes—
652#13133176C2311yescharacteristic
653#13133176C2312yes—
654#13133176C2311yescharacteristic
655#13133176C2311yescharacteristic
656#13133176C2311yescharacteristic
657#13133176C2311yescharacteristic
658#13133176C2312yes—
659#13133175C2314yes—
660#13133175C2314yes—
661#13133175C2314yes—
662#13133175C2314yes—
663#13133175C2311yescharacteristic
664#13133175C2312yes—
665#13133175C2311yescharacteristic
666#13133175C2312yes—
667#13133175C2311yescharacteristic
668#13133175C2311yescharacteristic
669#13133175C2311yescharacteristic
670#13133175C2311yescharacteristic
671#13133175C2311yescharacteristic
672#13133175C2311yescharacteristic
673#13133175C2311yescharacteristic
674#13133175C2311yescharacteristic
675#13133175C2314yes—
676#13133175C2314yes—
677#13133174C2314yes—
678#13133174C2314yes—
679#13133174C2314yes—
680#13133174C2314yes—
681#13133174C2314yes—
682#13133174C2314yes—
683#13133174C2312yes—
684#13133174C2312yes—
685#13133174C2312yes—
686#13133174C2314yes—
687#13133174C2312yes—
688#13133174C2312yes—
689#13133173C2314yes—
690#13133173C2312yes—
691#13133173C2312yes—
692#13133173C2314yes—
693#13133173C2314yes—
694#13133173C2312yes—
695#13133173C2312yes—
696#13133173C2312yes—
697C2×C4⋊Dic53C2311yescharacteristic
698C2×C4⋊Dic53C2312yes—
699C2×C4⋊Dic53C2311yescharacteristic
700C2×C4⋊Dic53C2311yescharacteristic
701C2×#11719919C2314yes—
702C2×#11719919C2312yes—
703C2×#11719919C2312yes—
704C4⋊C4×D53C2314yes—
705C4⋊C4×D53C2311yescharacteristic
706C4⋊C4×D53C2312yes—
707C4⋊C4×D53C2314yes—
708C4⋊C4×D53C2311yescharacteristic
709C4⋊C4×D53C2312yes—
710C4⋊C4×D53C2314yes—
711C4⋊C4×D53C2311yescharacteristic
712C4⋊C4×D53C2311yescharacteristic
713C4⋊C4×D53C2314yes—
714C4⋊C4×D53C2314yes—
715C4⋊C4×D53C2314yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2312yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2311yescharacteristic
721C4⋊C4×D53C2314yes—
722C4⋊C4×D53C2311yescharacteristic
723C4⋊C4×D53C2311yescharacteristic
724C4⋊C4×D53C2311yescharacteristic
725C4⋊C4×D53C2311yescharacteristic
726C4⋊C4×D53C2311yescharacteristic
727C2×C22⋊Dic53C2312yes—
728C2×#11719921C2312yes—
729C2×#11719921C2312yes—
730C2×#11719921C2312yes—
731C22⋊C4×D53C2312yes—
732C22⋊C4×D53C2314yes—
733C22⋊C4×D53C2312yes—
734C22⋊C4×D53C2314yes—
735C22⋊C4×D53C2312yes—
736C22⋊C4×D53C2312yes—
737C22⋊C4×D53C2312yes—
738C22⋊C4×D53C2314yes—
739C2×C4×Dic53C2312yes—
740C42×D53C2312yes—
741C42×D53C2312yes—
742C42×D53C2312yes—
743C42×D53C2314yes—
744C42×D53C2312yes—
745C42×D53C2312yes—
746C42×D53C2314yes—
747C42×D53C2314yes—
748C2×#41×C53C2311yescharacteristic
749C22×Q8×C53C2311yescharacteristic
750C23×C4×C53C2311yescharacteristic
751C4⋊Q8×C53C2312yes—
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2312yes—
754#126×C53C2314yes—
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#125×C53C2314yes—
759#125×C53C2314yes—
760#125×C53C2312yes—
761#125×C53C2314yes—
762#125×C53C2312yes—
763#124×C53C2314yes—
764#124×C53C2312yes—
765#123×C53C2314yes—
766#123×C53C2312yes—
767#123×C53C2314yes—
768#123×C53C2314yes—
769C22⋊Q8×C53C2314yes—
770C22⋊Q8×C53C2314yes—
771C22⋊Q8×C53C2314yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2312yes—
775C22⋊Q8×C53C2312yes—
776C22⋊Q8×C53C2311yescharacteristic
777C22⋊Q8×C53C2311yescharacteristic
778C22⋊Q8×C53C2312yes—
779C22⋊Q8×C53C2312yes—
780#121×C53C2311yescharacteristic
781#121×C53C2311yescharacteristic
782#120×C53C2312yes—
783C4×Q8×C53C2314yes—
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2312yes—
786C4×Q8×C53C2312yes—
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2312yes—
789C4×D4×C53C2314yes—
790C4×D4×C53C2312yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2314yes—
794#117×C53C2312yes—
795#117×C53C2311yescharacteristic
796#117×C53C2311yescharacteristic
797#117×C53C2311yescharacteristic
798#117×C53C2312yes—
799#117×C53C2311yescharacteristic
800#117×C53C2314yes—
801#117×C53C2311yescharacteristic
802#117×C53C2312yes—
803#117×C53C2314yes—
804#117×C53C2314yes—
805C2×C4⋊C4×C53C2311yescharacteristic
806C2×C4⋊C4×C53C2312yes—
807C2×C4⋊C4×C53C2311yescharacteristic
808C2×C4⋊C4×C53C2311yescharacteristic
809C2×C4⋊C4×C53C2312yes—
810C2×C22⋊C4×C53C2312yes—
811C2×C22⋊C4×C53C2312yes—
812C2×C42×C53C2312yes—
813C24×C53C2411yescharacteristic
814C23×D53C2412yes—
815C23×D53C2411yescharacteristic
816C23×D53C2412yes—
817C23×D53C2411yescharacteristic
818#41×C53—24no—
819C2×Q8×C53—24no—
820C2×Q8×C53C2412yes—
821C2×Q8×C53C2412yes—
822C2×Q8×C53C2411yescharacteristic
823C2×Q8×C53C2414yes—
824C2×D4×C53C2412yes—
825C2×D4×C53C2411yescharacteristic
826C2×D4×C53C2412yes—
827C2×D4×C53C2412yes—
828C22×C4×C53—24no—
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2412yes—
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2411yescharacteristic
833C22×C4×C53C2412yes—
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2411yescharacteristic
836C22×C4×C53C2412yes—
837C22×C4×C53C2412yes—
838C22×C4×C53C2412yes—
839C22×C4×C53C2414yes—
840C22×C4×C53C2411yescharacteristic
841C2×C22⋊D53—24no—
842C2×C22⋊D53—24no—
843C2×C22⋊D53—82no—
844C2×C22⋊D53C2411yescharacteristic
845C2×C22⋊D53C2411yescharacteristic
846C2×C22⋊D53C2411yescharacteristic
847C2×C22⋊D53C2411yescharacteristic
848C2×C22⋊D53C2412yes—
849C2×C22⋊D53C2412yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2411yescharacteristic
852C2×C22⋊D53C2411yescharacteristic
853C2×C22⋊D53C2411yescharacteristic
854C2×C22⋊D53C2411yescharacteristic
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2412yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2414yes—
859C2×C22⋊D53C2414yes—
860C2×C22⋊D53C2412yes—
861C2×C22⋊D53C2412yes—
862C2×C22⋊D53C2414yes—
863C22×Dic53C2411yescharacteristic
864C22×Dic53C2412yes—
865C22×Dic53C2412yes—
866C22×Dic53C2412yes—
867C22×Dic53C2412yes—
868C22×Dic53C2414yes—
869C22×Dic53C2411yescharacteristic
870#11719949—24no—
871#11719949—28no—
872#11719949—28no—
873#11719949—28no—
874#11719949—28no—
875#11719949—84no—
876Q8×D53—24no—
877Q8×D53—84no—
878#11719947—28no—
879#11719947—24no—
880#11719947—84no—
881D4×D53—28no—
882D4×D53—24no—
883#11719945—24no—
884#11719945—28no—
885#11719945—24no—
886#11719945—24no—
887#11719945—24no—
888#11719945—24no—
889#11719945—24no—
890#11719945—24no—
891#11719945—24no—
892#11719945—24no—
893#11719945—84no—
894#11719945—84no—
895C2×D212—24no—
896C2×D212—28no—
897C2×D212—24no—
898C2×D212—82no—
899C2×D212C2411yescharacteristic
900C2×D212C2411yescharacteristic
901C2×D212C2414yes—
902C2×D212C2414yes—
903C2×D212C2412yes—
904C2×D212C2412yes—
905C2×D212C2412yes—
906C2×D212C2411yescharacteristic
907C2×D212C2411yescharacteristic
908C2×D212C2411yescharacteristic
909C2×D212C2414yes—
910C2×D212C2414yes—
911C2×D212C2414yes—
912C2×D212C2412yes—
913C2×D212C2412yes—
914C2×D212C2414yes—
915C2×C4×D53—24no—
916C2×C4×D53—28no—
917C2×C4×D53—28no—
918C2×C4×D53—84no—
919C2×C4×D53—82no—
920C2×C4×D53#4118yescomplemented
921C2×C4×D53C2412yes—
922C2×C4×D53C2411yescharacteristic
923C2×C4×D53C2411yescharacteristic
924C2×C4×D53C2414yes—
925C2×C4×D53C2414yes—
926C2×C4×D53C2412yes—
927C2×C4×D53C2411yescharacteristic
928C2×C4×D53C2412yes—
929C2×C4×D53C2411yescharacteristic
930C2×C4×D53C2412yes—
931C2×C4×D53C2412yes—
932C2×C4×D53C2412yes—
933C2×C4×D53C2412yes—
934C2×C4×D53C2412yes—
935C2×C4×D53C2412yes—
936C2×C4×D53C2414yes—
937C2×C4×D53C2412yes—
938C2×C4×D53C2414yes—
939C2×C4×D53C2412yes—
940C2×C4×D53C2414yes—
941C2×C4×D53C2412yes—
942C2×C4×D53C2412yes—
943C2×C4×D53C2414yes—
944C2×C4×D53C2414yes—
945C2×C4×D53C2414yes—
946C2×C4×D53C2414yes—
947C2×C4×D53C2414yes—
948C2×C4×D53C2411yescharacteristic
949C2×C4×D53C2411yescharacteristic
950C2×C4×D53C2411yescharacteristic
951C2×C4×D53C2411yescharacteristic
952C2×Dic106—24no—
953C2×Dic106C2411yescharacteristic
954C2×Dic106C2411yescharacteristic
955C2×Dic106C2412yes—
956C2×Dic106C2411yescharacteristic
957C2×Dic106C2411yescharacteristic
958C2×Dic106C2411yescharacteristic
959C2×Dic106C2414yes—
960C2×Dic106C2414yes—
961C2×Dic106C2414yes—
962C4⋊C4×C53C2411yescharacteristic
963C4⋊C4×C53C2412yes—
964C4⋊C4×C53C2411yescharacteristic
965C4⋊C4×C53C2411yescharacteristic
966C4⋊C4×C53C2412yes—
967C4⋊C4×C53C2411yescharacteristic
968C4⋊C4×C53C2412yes—
969C4⋊C4×C53C2414yes—
970C4⋊C4×C53C2412yes—
971C4⋊C4×C53C2414yes—
972C4⋊C4×C53C2414yes—
973C4⋊C4×C53C2411yescharacteristic
974C4⋊C4×C53C2411yescharacteristic
975C4⋊C4×C53C2414yes—
976C4⋊C4×C53C2414yes—
977C4⋊C4×C53C2414yes—
978C4⋊C4×C53C2414yes—
979C4⋊C4×C53C2414yes—
980C4⋊C4×C53C2412yes—
981C4⋊C4×C53C2412yes—
982C4⋊C4×C53C2414yes—
983C4⋊C4×C53C2414yes—
984C22⋊C4×C53C2412yes—
985C22⋊C4×C53C2412yes—
986C22⋊C4×C53C2412yes—
987C22⋊C4×C53C2412yes—
988C22⋊C4×C53C2414yes—
989C22⋊C4×C53C2414yes—
990C22⋊C4×C53C2412yes—
991C22⋊C4×C53C2412yes—
992C22⋊C4×C53C2412yes—
993C22⋊C4×C53C2414yes—
994C22⋊C4×C53C2414yes—
995C22⋊C4×C53C2412yes—
996C22⋊C4×C53C2412yes—
997C22⋊C4×C53C2414yes—
998C42×C53C2412yes—
999C42×C53C2412yes—
1000C42×C53C2412yes—
1001C42×C53C2412yes—
1002C42×C53C2414yes—
1003C42×C53C2414yes—
1004C42×C53C2414yes—
1005C42×C53C2412yes—
1006C22⋊Dic53C2412yes—
1007C22⋊Dic53C2412yes—
1008C22⋊Dic53C2412yes—
1009C22⋊Dic53C2414yes—
1010C22⋊Dic53C2412yes—
1011C22⋊Dic53C2412yes—
1012C22⋊Dic53C2412yes—
1013C22⋊Dic53C2412yes—
1014C22⋊Dic53C2412yes—
1015C22⋊Dic53C2412yes—
1016#11719921C2412yes—
1017#11719921C2414yes—
1018#11719921C2412yes—
1019#11719921C2412yes—
1020#11719921C2412yes—
1021#11719921C2412yes—
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2412yes—
1025#11719921C2414yes—
1026#11719921C2412yes—
1027#11719921C2412yes—
1028#11719921C2414yes—
1029#11719921C2414yes—
1030#11719921C2414yes—
1031#11719921C2414yes—
1032#11719921C2414yes—
1033#11719921C2414yes—
1034#11719921C2414yes—
1035#11719921C2414yes—
1036#11719921C2414yes—
1037#11719921C2414yes—
1038#11719921C2412yes—
1039#11719921C2412yes—
1040#11719921C2414yes—
1041#11719921C2414yes—
1042#11719921C2414yes—
1043#11719921C2412yes—
1044#11719921C2412yes—
1045#11719921C2414yes—
1046#11719921C2414yes—
1047#11719921C2414yes—
1048#11719921C2412yes—
1049#11719921C2412yes—
1050#11719921C2412yes—
1051#11719921C2412yes—
1052C4⋊Dic53C2411yescharacteristic
1053C4⋊Dic53C2412yes—
1054C4⋊Dic53C2411yescharacteristic
1055C4⋊Dic53C2411yescharacteristic
1056C4⋊Dic53C2411yescharacteristic
1057C4⋊Dic53C2412yes—
1058C4⋊Dic53C2414yes—
1059C4⋊Dic53C2411yescharacteristic
1060C4⋊Dic53C2411yescharacteristic
1061C4⋊Dic53C2414yes—
1062C4⋊Dic53C2414yes—
1063C4⋊Dic53C2414yes—
1064C4⋊Dic53C2414yes—
1065C4⋊Dic53C2414yes—
1066C4⋊Dic53C2412yes—
1067C4⋊Dic53C2412yes—
1068C4⋊Dic53C2412yes—
1069C4⋊Dic53C2412yes—
1070#11719919C2412yes—
1071#11719919C2414yes—
1072#11719919C2412yes—
1073#11719919C2412yes—
1074#11719919C2412yes—
1075#11719919C2414yes—
1076#11719919C2414yes—
1077#11719919C2414yes—
1078#11719919C2412yes—
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2412yes—
1082#11719919C2412yes—
1083#11719919C2412yes—
1084#11719919C2414yes—
1085#11719919C2414yes—
1086#11719919C2414yes—
1087#11719919C2414yes—
1088#11719919C2414yes—
1089#11719919C2414yes—
1090#11719919C2414yes—
1091#11719919C2414yes—
1092#11719919C2414yes—
1093#11719919C2412yes—
1094#11719919C2412yes—
1095#11719919C2414yes—
1096#11719919C2412yes—
1097#11719919C2412yes—
1098C4×Dic53C2412yes—
1099C4×Dic53C2412yes—
1100C4×Dic53C2412yes—
1101C4×Dic53C2412yes—
1102C4×Dic53C2412yes—
1103C4×Dic53C2412yes—
1104C4×Dic53C2412yes—
1105C4×Dic53C2414yes—
1106C4×Dic53C2414yes—
1107C4×Dic53C2412yes—
1108C4×Dic53C2412yes—
1109C4×Dic53C2414yes—
1110C4×Dic53C2414yes—
1111C4×Dic53C2412yes—
1112C4×Dic53C2412yes—
1113C4×Dic53C2412yes—
1114C4×Dic53C2414yes—
1115C4×Dic53C2412yes—
1116C4×Dic53C2412yes—
1117C4×Dic53C2412yes—
1118C23×C53—22no—
1119C23×C53—41no—
1120C23×C53—41no—
1121C23×C53C2511yescharacteristic
1122C23×C53C2512yes—
1123C23×C53C2511yescharacteristic
1124C23×C53C2511yescharacteristic
1125C22×D53—24no—
1126C22×D53—22no—
1127C22×D53—24no—
1128C22×D53—41no—
1129C22×D53—42no—
1130C22×D53—41no—
1131C22×D53—42no—
1132C22×D53—41no—
1133C22×D53—42no—
1134C22×D53—41no—
1135C22×D53—42no—
1136C22×D53C2×#4114yes—
1137C22×D53C2514yes—
1138C22×D53C2512yes—
1139C22×D53C2511yescharacteristic
1140C22×D53C2511yescharacteristic
1141C22×D53C2511yescharacteristic
1142C22×D53C2511yescharacteristic
1143Q8×C53—22no—
1144Q8×C53—24no—
1145Q8×C53—24no—
1146Q8×C53—44no—
1147D4×C53—24no—
1148D4×C53—22no—
1149D4×C53—42no—
1150D4×C53—42no—
1151C2×C4×C53—22no—
1152C2×C4×C53—24no—
1153C2×C4×C53—24no—
1154C2×C4×C53—22no—
1155C2×C4×C53—22no—
1156C2×C4×C53—22no—
1157C2×C4×C53—22no—
1158C2×C4×C53—42no—
1159C2×C4×C53—44no—
1160C2×C4×C53—42no—
1161C2×C4×C53—42no—
1162C2×C4×C53C2×#4114yes—
1163C2×C4×C53C2512yes—
1164C2×C4×C53C2512yes—
1165C2×C4×C53C2511yescharacteristic
1166C2×C4×C53C2511yescharacteristic
1167C2×C4×C53C2514yes—
1168C2×C4×C53C2512yes—
1169C2×C4×C53C2512yes—
1170C2×C4×C53C2512yes—
1171C2×C4×C53C2512yes—
1172C2×C4×C53C2514yes—
1173C2×C4×C53C2512yes—
1174C2×C4×C53C2511yescharacteristic
1175C2×C4×C53C2511yescharacteristic
1176C22⋊D53—24no—
1177C22⋊D53—22no—
1178C22⋊D53—22no—
1179C22⋊D53—22no—
1180C22⋊D53—22no—
1181C22⋊D53—24no—
1182C22⋊D53—22no—
1183C22⋊D53—22no—
1184C22⋊D53—22no—
1185C22⋊D53—22no—
1186C22⋊D53—24no—
1187C22⋊D53—42no—
1188C22⋊D53—42no—
1189C22⋊D53—44no—
1190C22⋊D53—44no—
1191C22⋊D53—44no—
1192C22⋊D53—42no—
1193C22⋊D53—42no—
1194C22⋊D53—44no—
1195C2×Dic53—22no—
1196C2×Dic53—24no—
1197C2×Dic53—44no—
1198C2×Dic53—42no—
1199C2×Dic53—42no—
1200C2×Dic53—42no—
1201C2×Dic53C2×#4114yes—
1202C2×Dic53C2512yes—
1203C2×Dic53C2512yes—
1204C2×Dic53C2514yes—
1205C2×Dic53C2511yescharacteristic
1206C2×Dic53C2511yescharacteristic
1207C2×Dic53C2512yes—
1208C2×Dic53C2512yes—
1209C2×Dic53C2512yes—
1210C2×Dic53C2512yes—
1211C2×Dic53C2512yes—
1212C2×Dic53C2511yescharacteristic
1213C2×Dic53C2511yescharacteristic
1214D212—22no—
1215D212—22no—
1216D212—22no—
1217D212—22no—
1218D212—28no—
1219D212—28no—
1220D212—24no—
1221D212—24no—
1222D212—24no—
1223D212—22no—
1224D212—44no—
1225D212—44no—
1226D212—42no—
1227D212—44no—
1228D212—44no—
1229D212—42no—
1230C4×D53—24no—
1231C4×D53—22no—
1232C4×D53—22no—
1233C4×D53—22no—
1234C4×D53—22no—
1235C4×D53—24no—
1236C4×D53—24no—
1237C4×D53—28no—
1238C4×D53—28no—
1239C4×D53—44no—
1240C4×D53—42no—
1241C4×D53—44no—
1242C4×D53—44no—
1243C4×D53—44no—
1244C4×D53—42no—
1245C4×D53—44no—
1246C4×D53—42no—
1247C4×D53—44no—
1248C4×D53—42no—
1249C4×D53—42no—
1250C4×D53—42no—
1251C4×D53—44no—
1252C4×D53—42no—
1253C4×D53—44no—
1254C4×D53—42no—
1255C4×D53—42no—
1256C4×D53—42no—
1257C4×D53C2×#4114yes—
1258C4×D53C2×#4114yes—
1259C4×D53C2×#4114yes—
1260C4×D53C2×#4114yes—
1261Dic106—22no—
1262Dic106—22no—
1263Dic106—22no—
1264Dic106—22no—
1265Dic106—22no—
1266Dic106—24no—
1267Dic106—44no—
1268Dic106—44no—
1269Dic106—44no—
1270#62856—531nomaximal, Sylow
1271C22×C53—21no—
1272C22×C53—21no—
1273C22×C53—22no—
1274C22×C53—21no—
1275C22×C53—21no—
1276C22×C53—21no—
1277C22×C53—22no—
1278C22×C53—21no—
1279C22×C53—21no—
1280C22×C53—22no—
1281C22×C53—21no—
1282C22×C53—82no—
1283C22×C53C22×#4112yes—
1284C22×C53C2611yescharacteristic
1285C2×D53—21no—
1286C2×D53—21no—
1287C2×D53—21no—
1288C2×D53—21no—
1289C2×D53—24no—
1290C2×D53—22no—
1291C2×D53—21no—
1292C2×D53—21no—
1293C2×D53—22no—
1294C2×D53—21no—
1295C2×D53—21no—
1296C2×D53—24no—
1297C2×D53—21no—
1298C2×D53—24no—
1299C2×D53—21no—
1300C2×D53—22no—
1301C2×D53—44no—
1302C2×D53—48no—
1303C2×D53—84no—
1304C2×D53—82no—
1305C2×D53C22×#4112yes—
1306C2×D53C22×#4112yes—
1307C4×C53—21no—
1308C4×C53—21no—
1309C4×C53—22no—
1310C4×C53—24no—
1311C4×C53—22no—
1312C4×C53—22no—
1313C4×C53—24no—
1314C4×C53—22no—
1315C4×C53—22no—
1316C4×C53—22no—
1317C4×C53—22no—
1318C4×C53C22×#4112yes—
1319C4×C53C22×#4112yes—
1320Dic53—22no—
1321Dic53—21no—
1322Dic53—21no—
1323Dic53—22no—
1324Dic53—22no—
1325Dic53—24no—
1326Dic53—22no—
1327Dic53—22no—
1328Dic53—22no—
1329Dic53—22no—
1330Dic53C22×#4112yes—
1331Dic53C22×#4112yes—
1332#3512—532no—
1333#3512—532no—
1334#3512—532no—
1335#3512—532no—
1336#3511—532no—
1337#3511—532no—
1338#3511—532no—
1339#3511—532no—
1340#3505—534no—
1341#3505—534no—
1342#3495—534no—
1343#3495—531no—
1344#3495—531no—
1345#3495—531no—
1346#3495D5311yescharacteristic, complemented
1347#3494—534no—
1348#3494—531no—
1349#3494—531no—
1350#3494—531no—
1351#3494—531no—
1352#3493—532no—
1353#3493—532no—
1354#3492—532no—
1355#3492—532no—
1356#3461—532no—
1357#3461—532no—
1358#3460—532no—
1359#3460—532no—
1360C2×#544—531no—
1361#3449—531no—
1362#3449—531no—
1363C2×#537—531no—
1364#3428—531no—
1365#3428—531no—
1366C2×#520—531no—
1367C2×C53—22no—
1368C2×C53—42no—
1369C2×C53—41no—
1370C2×C53—41no—
1371C2×C53C23×#4111yescharacteristic
1372C2×C53H(7,𝔽2)11yescharacteristic
1373C2×C532−1+611yescharacteristic
1374D53—22no—
1375D53—22no—
1376D53—42no—
1377D53—44no—
1378D53—41no—
1379D53—41no—
1380C22×#41—531no—
1381C22×#41—531no—
1382C22×#41—531no—
1383#556—534no—
1384#556—532no—
1385#556—532no—
1386#556—534no—
1387#556—532no—
1388#556C2×D5312yescomplemented
1389#555—532no—
1390#555—534no—
1391#555—532no—
1392#555—532no—
1393#555—532no—
1394#555—534no—
1395#554—534no—
1396#554—534no—
1397#554—532no—
1398#554—532no—
1399#554—532no—
1400#554C2×D5312yescomplemented
1401#553—534no—
1402#553—534no—
1403#553—534no—
1404#553—534no—
1405#553—534no—
1406#553—534no—
1407#553—532no—
1408#553—532no—
1409#553—534no—
1410#553—534no—
1411#553—534no—
1412#553—534no—
1413#553—534no—
1414#553—534no—
1415#553—532no—
1416#553—532no—
1417#553—534no—
1418#553—534no—
1419#553—532no—
1420#553—532no—
1421#553—534no—
1422#553—534no—
1423#553—532no—
1424#553—532no—
1425#552—534no—
1426#552—534no—
1427#552—534no—
1428#552—534no—
1429#552—532no—
1430#552—532no—
1431#552—532no—
1432#552—532no—
1433#552—532no—
1434#552—532no—
1435#552—534no—
1436#552—534no—
1437#552—534no—
1438#552C2×D5312yescomplemented
1439#552C2×D5312yescomplemented
1440#552C2×D5314yescomplemented
1441#551—534no—
1442#551—534no—
1443#551—534no—
1444#551—534no—
1445#551—534no—
1446#551—534no—
1447#551—534no—
1448#551C2×D5314yescomplemented
1449#548—534no—
1450#548—534no—
1451#548—534no—
1452#548—534no—
1453#547—532no—
1454#547—534no—
1455#547—534no—
1456#547—532no—
1457#547—532no—
1458#547—532no—
1459#546—534no—
1460#546—534no—
1461#546—534no—
1462#546—534no—
1463#544—532no—
1464#544—532no—
1465#544—532no—
1466#544—532no—
1467#544—534no—
1468#544—531no—
1469#544—531no—
1470#544—531no—
1471#544C2×D5311yescharacteristic, complemented
1472#542—532no—
1473#542—534no—
1474#542—534no—
1475#542—532no—
1476#542—534no—
1477#542—532no—
1478#542—534no—
1479#542—532no—
1480#542—532no—
1481#542—532no—
1482#542—532no—
1483#542C2×D5312yescomplemented
1484#541—532no—
1485#541—534no—
1486#541—534no—
1487#541—532no—
1488#541—532no—
1489#541C2×D5312yescomplemented
1490#540—532no—
1491#540—534no—
1492#540—534no—
1493#540—532no—
1494#540—532no—
1495#540—532no—
1496#539—534no—
1497#539—534no—
1498#539—534no—
1499#539—534no—
1500#538—534no—
1501#538—534no—
1502#538—534no—
1503#538—534no—
1504#537—532no—
1505#537—532no—
1506#537—532no—
1507#537—532no—
1508#537—532no—
1509#537—532no—
1510#537—532no—
1511#537—532no—
1512#537—531no—
1513#537—532no—
1514#537—531no—
1515#537—532no—
1516#537—531no—
1517#537—531no—
1518#536—531no—
1519#536—532no—
1520#536—532no—
1521#536—531no—
1522#536—531no—
1523#536C2×D5311yescharacteristic
1524#535—531no—
1525#535—532no—
1526#535—531no—
1527#535—531no—
1528#535—532no—
1529#535—531no—
1530#534—534no—
1531#534—532no—
1532#534—532no—
1533#533—532no—
1534#533—534no—
1535#533—532no—
1536#533—534no—
1537#533—532no—
1538#533C2×D5312yescomplemented
1539#532—532no—
1540#532—532no—
1541#532—532no—
1542#532—534no—
1543#532—532no—
1544#532—532no—
1545#532—532no—
1546#532—534no—
1547#532—532no—
1548#532—532no—
1549C2×C4⋊Q8—532no—
1550C2×C4⋊Q8—532no—
1551#529—534no—
1552#529—534no—
1553#529—534no—
1554#529—534no—
1555#529—532no—
1556#529—532no—
1557#529—532no—
1558#529—532no—
1559#529—532no—
1560#529—534no—
1561#529—532no—
1562#529—534no—
1563#529—534no—
1564#529—534no—
1565#529—532no—
1566#529C2×D5312yescomplemented
1567C2×#125—532no—
1568C2×#125—532no—
1569#525—531no—
1570#525—531no—
1571#525—534no—
1572#525—534no—
1573#525—532no—
1574#525—532no—
1575#525—534no—
1576#525—532no—
1577#525—532no—
1578#525—534no—
1579#525—531no—
1580#525—534no—
1581#525C2×D5311yescharacteristic
1582C2×C22⋊Q8—531no—
1583C2×C22⋊Q8—534no—
1584C2×C22⋊Q8—532no—
1585C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1586C2×#121—531no—
1587C2×#121—532no—
1588C2×#121—531no—
1589C2×#121—532no—
1590C2×#121—532no—
1591#520—531no—
1592#520—532no—
1593#520—532no—
1594#520—532no—
1595#520—532no—
1596#520—532no—
1597#520—534no—
1598#520—532no—
1599#520—531no—
1600#520—532no—
1601#520—531no—
1602#520—531no—
1603#520—531no—
1604#520—531no—
1605#520—531no—
1606#520—532no—
1607#520—531no—
1608#520—531no—
1609#520—531no—
1610#520—531no—
1611#520C2×D5311yescharacteristic
1612#519—531no—
1613#519—532no—
1614#519C2×D5311yescharacteristic, complemented
1615#518—534no—
1616#518—532no—
1617#518—531no—
1618#518—531no—
1619#518—532no—
1620#518—532no—
1621C4×#41—532no—
1622C4×#41—532no—
1623C4×#41—532no—
1624C4×#41—532no—
1625C4×#41—532no—
1626C4×#41—532no—
1627C4×#41—532no—
1628C4×#41—532no—
1629C2×C4×Q8—532no—
1630C2×C4×D4—534no—
1631C2×C4×D4—532no—
1632C2×#117—531no—
1633C2×#117—531no—
1634C2×#117—531no—
1635C2×#117—531no—
1636C2×#117—532no—
1637C2×#117—531no—
1638C2×#117—531no—
1639C2×#117—534no—
1640C2×#117C2×D5311yescharacteristic, complemented
1641C22×C4⋊C4—531no—
1642C22×C4⋊C4—532no—
1643C53#6285611yescharacteristic, complemented, Sylow
1644C2×#41—532no—
1645C2×#41—532no—
1646C2×#41—532no—
1647C2×#41—531no—
1648C2×#41—532no—
1649C2×#41—534no—
1650C2×#41—532no—
1651C2×#41—531no—
1652C2×#41—534no—
1653C2×#41—531no—
1654C2×#41—531no—
1655C2×#41—531no—
1656C2×#41—531no—
1657C2×#41—531no—
1658C2×#41—531no—
1659C2×#41—531no—
1660C2×#41—531no—
1661C2×#41—532no—
1662C2×#41—531no—
1663C2×#41—534no—
1664C2×#41—534no—
1665C2×#41—1068no—
1666C2×#41—1068no—
1667C2×#41—1068no—
1668C2×#41C22×D5311yescharacteristic
1669C22×Q8—531no—
1670C22×Q8—534no—
1671C22×Q8—531no—
1672C22×Q8C22×D5311yescharacteristic
1673C22×D4—531no—
1674C22×D4—531no—
1675C22×D4—532no—
1676C22×D4—532no—
1677C22×D4—531no—
1678C22×D4—531no—
1679C22×D4—532no—
1680C22×D4—531no—
1681C22×D4—532no—
1682C23×C4—531no—
1683C23×C4—532no—
1684C23×C4—532no—
1685C23×C4—531no—
1686C23×C4—532no—
1687C23×C4—534no—
1688C23×C4C22×D5311yescharacteristic
1689C4⋊Q8—534no—
1690C4⋊Q8—534no—
1691C4⋊Q8—532no—
1692C4⋊Q8—534no—
1693C4⋊Q8—532no—
1694C4⋊Q8—532no—
1695C4⋊Q8—534no—
1696C4⋊Q8—532no—
1697C4⋊Q8—532no—
1698C4⋊Q8—532no—
1699C4⋊Q8—532no—
1700C4⋊Q8—532no—
1701C4⋊Q8—532no—
1702C4⋊Q8C22×D5312yes—
1703C4⋊Q8C22×D5312yes—
1704C4⋊Q8C22×D5312yes—
1705#127—532no—
1706#127—532no—
1707#127—532no—
1708#127—532no—
1709#126—534no—
1710#126—534no—
1711#126—534no—
1712#126—534no—
1713#126—534no—
1714#126—534no—
1715#126—534no—
1716#126—534no—
1717#126—534no—
1718#126—534no—
1719#126—534no—
1720#126—534no—
1721#126—534no—
1722#126—534no—
1723#126—534no—
1724#126—534no—
1725#126—534no—
1726#126—534no—
1727#126—534no—
1728#126—534no—
1729#126C22×D5314yes—
1730#126C22×D5314yes—
1731#126C22×D5314yes—
1732#126C22×D5314yes—
1733#125—534no—
1734#125—534no—
1735#125—532no—
1736#125—532no—
1737#125—534no—
1738#125—534no—
1739#125—532no—
1740#125—532no—
1741#125—534no—
1742#125—534no—
1743#125—534no—
1744#125—534no—
1745#125—534no—
1746#125—534no—
1747#125—534no—
1748#125—534no—
1749#125—532no—
1750#125—532no—
1751#125—534no—
1752#125C22×D5312yes—
1753#125C22×D5312yes—
1754#125C22×D5314yes—
1755#125C22×D5314yes—
1756#125C22×D5314yes—
1757#124—532no—
1758#124—532no—
1759#124—534no—
1760#124—534no—
1761#124—532no—
1762#124—532no—
1763#124—532no—
1764#124—532no—
1765#124—534no—
1766#124—534no—
1767#124—534no—
1768#124—534no—
1769#124—534no—
1770#124—534no—
1771#124—532no—
1772#124—534no—
1773#124—534no—
1774#124—534no—
1775#124C22×D5312yes—
1776#124C22×D5314yes—
1777#123—532no—
1778#123—532no—
1779#123—534no—
1780#123—534no—
1781#123—534no—
1782#123—534no—
1783#123—532no—
1784#123—532no—
1785#123—534no—
1786#123—534no—
1787#123—534no—
1788#123—534no—
1789#123—534no—
1790#123—534no—
1791#123—534no—
1792#123—534no—
1793#123—534no—
1794#123—534no—
1795#123—534no—
1796#123—532no—
1797#123—532no—
1798#123—532no—
1799#123—534no—
1800#123—534no—
1801#123—534no—
1802#123—534no—
1803#123—534no—
1804#123—534no—
1805#123—534no—
1806#123—534no—
1807#123—534no—
1808#123—534no—
1809#123C22×D5314yes—
1810#123C22×D5314yes—
1811#123C22×D5312yes—
1812#123C22×D5314yes—
1813C22⋊Q8—534no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—531no—
1819C22⋊Q8—531no—
1820C22⋊Q8—532no—
1821C22⋊Q8—532no—
1822C22⋊Q8—534no—
1823C22⋊Q8—534no—
1824C22⋊Q8—531no—
1825C22⋊Q8—531no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8—534no—
1834C22⋊Q8—531no—
1835C22⋊Q8—534no—
1836C22⋊Q8—531no—
1837C22⋊Q8—532no—
1838C22⋊Q8—532no—
1839C22⋊Q8—534no—
1840C22⋊Q8—534no—
1841C22⋊Q8—534no—
1842C22⋊Q8—534no—
1843C22⋊Q8—534no—
1844C22⋊Q8—534no—
1845C22⋊Q8—534no—
1846C22⋊Q8—534no—
1847C22⋊Q8—534no—
1848C22⋊Q8—532no—
1849C22⋊Q8—532no—
1850C22⋊Q8—534no—
1851C22⋊Q8—534no—
1852C22⋊Q8C22×D5314yes—
1853C22⋊Q8C22×D5312yes—
1854C22⋊Q8C22×D5312yes—
1855C22⋊Q8C22×D5312yes—
1856C22⋊Q8C22×D5312yes—
1857C22⋊Q8C22×D5312yes—
1858C22⋊Q8C22×D5312yes—
1859C22⋊Q8C22×D5314yes—
1860C22⋊Q8C22×D5311yescharacteristic
1861C22⋊Q8C22×D5311yescharacteristic
1862C22⋊Q8C22×D5314yes—
1863#121—531no—
1864#121—531no—
1865#121—532no—
1866#121—532no—
1867#121—534no—
1868#121—532no—
1869#121—532no—
1870#121—534no—
1871#121—534no—
1872#121—532no—
1873#121—532no—
1874#121—532no—
1875#121—532no—
1876#121—531no—
1877#121—531no—
1878#121—532no—
1879#121—532no—
1880#121—534no—
1881#121—534no—
1882#121—534no—
1883#121—534no—
1884#121—532no—
1885#121—532no—
1886#121—532no—
1887#121—532no—
1888#121—534no—
1889#121—534no—
1890#121—531no—
1891#121—531no—
1892#121—532no—
1893#121—532no—
1894#121—534no—
1895#121—534no—
1896#121—532no—
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—532no—
1912#121—532no—
1913#121—534no—
1914#121—534no—
1915#121—532no—
1916#121—532no—
1917#121—532no—
1918#121—534no—
1919#121—532no—
1920#121—534no—
1921#121—534no—
1922#121—534no—
1923#121C22×D5311yescharacteristic
1924#121C22×D5311yescharacteristic
1925#120—532no—
1926#120—532no—
1927#120—532no—
1928#120—532no—
1929#120—534no—
1930#120—534no—
1931#120—532no—
1932#120—534no—
1933#120—532no—
1934#120—532no—
1935#120—534no—
1936#120C22×D5312yes—
1937C4×Q8—532no—
1938C4×Q8—532no—
1939C4×Q8—532no—
1940C4×Q8—532no—
1941C4×Q8—532no—
1942C4×Q8—534no—
1943C4×Q8—532no—
1944C4×Q8—532no—
1945C4×Q8—532no—
1946C4×Q8—532no—
1947C4×Q8—532no—
1948C4×Q8—534no—
1949C4×Q8—534no—
1950C4×Q8—534no—
1951C4×Q8—532no—
1952C4×Q8—532no—
1953C4×Q8—532no—
1954C4×Q8—532no—
1955C4×Q8—532no—
1956C4×Q8—534no—
1957C4×Q8C22×D5312yes—
1958C4×Q8C22×D5312yes—
1959C4×Q8C22×D5312yes—
1960C4×Q8C22×D5312yes—
1961C4×Q8C22×D5312yes—
1962C4×Q8C22×D5314yes—
1963C4×D4—532no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—534no—
1967C4×D4—534no—
1968C4×D4—532no—
1969C4×D4—532no—
1970C4×D4—532no—
1971C4×D4—532no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—532no—
1975C4×D4—532no—
1976C4×D4—532no—
1977C4×D4—532no—
1978C4×D4—532no—
1979C4×D4—532no—
1980C4×D4—534no—
1981C4×D4—534no—
1982C4×D4—532no—
1983C4×D4—534no—
1984C4×D4—534no—
1985C4×D4—532no—
1986C4×D4—534no—
1987C4×D4—532no—
1988C4×D4—532no—
1989C4×D4—532no—
1990C4×D4—532no—
1991C4×D4—534no—
1992C4×D4—532no—
1993C4×D4—534no—
1994C4×D4—532no—
1995C4×D4—532no—
1996C4×D4—534no—
1997C4×D4—534no—
1998C4×D4—534no—
1999C4×D4—534no—
2000C4×D4—534no—
2001C4×D4—534no—
2002C4×D4—534no—
2003C4×D4—532no—
2004C4×D4—532no—
2005C4×D4—532no—
2006C4×D4—532no—
2007C4×D4—532no—
2008C4×D4—532no—
2009C4×D4—532no—
2010C4×D4—532no—
2011C4×D4—534no—
2012C4×D4—534no—
2013C4×D4—534no—
2014C4×D4—534no—
2015C4×D4—534no—
2016C4×D4—534no—
2017C4×D4—532no—
2018C4×D4—534no—
2019C4×D4—534no—
2020C4×D4—532no—
2021C4×D4—534no—
2022C4×D4—532no—
2023C4×D4—532no—
2024C4×D4—532no—
2025C4×D4—532no—
2026C4×D4—534no—
2027C4×D4—532no—
2028C4×D4—534no—
2029C4×D4—532no—
2030C4×D4—532no—
2031C4×D4—532no—
2032C4×D4—532no—
2033C4×D4—534no—
2034C4×D4—534no—
2035C4×D4—534no—
2036C4×D4C22×D5312yes—
2037C4×D4C22×D5314yes—
2038C4×D4C22×D5312yes—
2039C4×D4C22×D5312yes—
2040C4×D4C22×D5314yes—
2041#117—531no—
2042#117—531no—
2043#117—532no—
2044#117—531no—
2045#117—532no—
2046#117—534no—
2047#117—531no—
2048#117—532no—
2049#117—531no—
2050#117—531no—
2051#117—531no—
2052#117—531no—
2053#117—531no—
2054#117—534no—
2055#117—534no—
2056#117—531no—
2057#117—531no—
2058#117—531no—
2059#117—531no—
2060#117—532no—
2061#117—532no—
2062#117—531no—
2063#117—531no—
2064#117—534no—
2065#117—534no—
2066#117—534no—
2067#117—534no—
2068#117—532no—
2069#117—532no—
2070#117—532no—
2071#117—532no—
2072#117—532no—
2073#117—534no—
2074#117—534no—
2075#117—534no—
2076#117—532no—
2077#117—532no—
2078#117—532no—
2079#117—532no—
2080#117—532no—
2081#117—534no—
2082#117—534no—
2083#117—534no—
2084#117—534no—
2085#117—534no—
2086#117—534no—
2087#117—534no—
2088#117C22×D5311yescharacteristic
2089#117C22×D5311yescharacteristic
2090#117C22×D5311yescharacteristic
2091#117C22×D5314yes—
2092#117C22×D5312yes—
2093#117C22×D5312yes—
2094#117C22×D5312yes—
2095#117C22×D5311yescharacteristic
2096#117C22×D5311yescharacteristic
2097#117C22×D5314yes—
2098#117C22×D5314yes—
2099C2×C4⋊C4—532no—
2100C2×C4⋊C4—531no—
2101C2×C4⋊C4—534no—
2102C2×C4⋊C4—532no—
2103C2×C4⋊C4—531no—
2104C2×C4⋊C4—531no—
2105C2×C4⋊C4—532no—
2106C2×C4⋊C4—531no—
2107C2×C4⋊C4—532no—
2108C2×C4⋊C4—532no—
2109C2×C4⋊C4—534no—
2110C2×C4⋊C4—532no—
2111C2×C4⋊C4—532no—
2112C2×C4⋊C4—534no—
2113C2×C4⋊C4—532no—
2114C2×C4⋊C4—532no—
2115C2×C4⋊C4—531no—
2116C2×C4⋊C4—531no—
2117C2×C4⋊C4—531no—
2118C2×C4⋊C4—531no—
2119C2×C4⋊C4—531no—
2120C2×C4⋊C4—534no—
2121C2×C4⋊C4—531no—
2122C2×C4⋊C4—531no—
2123C2×C4⋊C4—534no—
2124C2×C4⋊C4—531no—
2125C2×C4⋊C4—531no—
2126C2×C4⋊C4—534no—
2127C2×C4⋊C4—534no—
2128C2×C4⋊C4—534no—
2129C2×C4⋊C4C22×D5311yescharacteristic
2130C2×C4⋊C4C22×D5312yes—
2131C2×C4⋊C4C22×D5311yescharacteristic
2132C2×C4⋊C4C22×D5311yescharacteristic
2133C2×C4⋊C4C22×D5312yes—
2134C2×C22⋊C4—532no—
2135C2×C22⋊C4—532no—
2136C2×C22⋊C4—532no—
2137C2×C22⋊C4—532no—
2138C2×C22⋊C4—532no—
2139C2×C22⋊C4—534no—
2140C2×C22⋊C4—532no—
2141C2×C22⋊C4—532no—
2142C2×C22⋊C4—534no—
2143C2×C22⋊C4—532no—
2144C2×C22⋊C4—534no—
2145C2×C22⋊C4—532no—
2146C2×C22⋊C4C22×D5312yes—
2147C2×C22⋊C4C22×D5312yes—
2148C2×C42—532no—
2149C2×C42—532no—
2150C2×C42—534no—
2151C2×C42—532no—
2152C2×C42—532no—
2153C2×C42—534no—
2154C2×C42—534no—
2155C2×C42—532no—
2156C2×C42—532no—
2157C2×C42C22×D5312yes—
2158C24—531no—
2159C24—531no—
2160C24—532no—
2161C24—532no—
2162C24C23×D5311yescharacteristic
2163#41—24no—
2164#41—1064no—
2165#41—1064no—
2166#41—1064no—
2167#41—1064no—
2168#41—1064no—
2169#41—1064no—
2170#41—1064no—
2171#41—1064no—
2172#41—1068no—
2173#41—1068no—
2174#41—1064no—
2175#41—1068no—
2176#41—1068no—
2177#41—1068no—
2178#41—1068no—
2179#41—1064no—
2180#41—1064no—
2181#41—4244no—
2182#41—4244no—
2183#41—4244no—
2184#41—4244no—
2185C2×Q8—24no—
2186C2×Q8—531no—
2187C2×Q8—531no—
2188C2×Q8—531no—
2189C2×Q8—532no—
2190C2×Q8—531no—
2191C2×Q8—531no—
2192C2×Q8—534no—
2193C2×Q8—534no—
2194C2×Q8—534no—
2195C2×Q8—1064no—
2196C2×Q8—1064no—
2197C2×Q8—4244no—
2198C2×Q8C23×D5312yes—
2199C2×Q8C23×D5311yescharacteristic
2200C2×Q8C23×D5312yes—
2201C2×Q8C23×D5314yes—
2202C2×D4—532no—
2203C2×D4—531no—
2204C2×D4—531no—
2205C2×D4—531no—
2206C2×D4—531no—
2207C2×D4—531no—
2208C2×D4—532no—
2209C2×D4—531no—
2210C2×D4—531no—
2211C2×D4—532no—
2212C2×D4—531no—
2213C2×D4—532no—
2214C2×D4—534no—
2215C2×D4—532no—
2216C2×D4—532no—
2217C2×D4—534no—
2218C2×D4—532no—
2219C2×D4—534no—
2220C2×D4—534no—
2221C2×D4—531no—
2222C2×D4—534no—
2223C2×D4—531no—
2224C2×D4—531no—
2225C2×D4—532no—
2226C2×D4—534no—
2227C2×D4—531no—
2228C2×D4—532no—
2229C2×D4—532no—
2230C2×D4—531no—
2231C2×D4—534no—
2232C2×D4—532no—
2233C2×D4—534no—
2234C2×D4—532no—
2235C2×D4—534no—
2236C2×D4—534no—
2237C2×D4—1064no—
2238C2×D4—1068no—
2239C2×D4—1064no—
2240C2×D4—1064no—
2241C2×D4—1068no—
2242C2×D4—1064no—
2243C2×D4—1064no—
2244C2×D4—4242no—
2245C2×D4—4242no—
2246C2×D4C23×D5312yes—
2247C2×D4C23×D5311yescharacteristic
2248C2×D4C23×D5312yes—
2249C2×D4C23×D5312yes—
2250C22×C4—24no—
2251C22×C4—531no—
2252C22×C4—538no—
2253C22×C4—531no—
2254C22×C4—531no—
2255C22×C4—531no—
2256C22×C4—531no—
2257C22×C4—531no—
2258C22×C4—532no—
2259C22×C4—532no—
2260C22×C4—532no—
2261C22×C4—532no—
2262C22×C4—534no—
2263C22×C4—532no—
2264C22×C4—534no—
2265C22×C4—531no—
2266C22×C4—531no—
2267C22×C4—532no—
2268C22×C4—534no—
2269C22×C4—532no—
2270C22×C4—531no—
2271C22×C4—531no—
2272C22×C4—532no—
2273C22×C4—532no—
2274C22×C4—532no—
2275C22×C4—532no—
2276C22×C4—532no—
2277C22×C4—532no—
2278C22×C4—534no—
2279C22×C4—532no—
2280C22×C4—534no—
2281C22×C4—532no—
2282C22×C4—534no—
2283C22×C4—532no—
2284C22×C4—534no—
2285C22×C4—532no—
2286C22×C4—534no—
2287C22×C4—534no—
2288C22×C4—534no—
2289C22×C4—534no—
2290C22×C4—1068no—
2291C22×C4—1068no—
2292C22×C4—1064no—
2293C22×C4—4242no—
2294C22×C4—4244no—
2295C22×C4C23×D5311yescharacteristic
2296C22×C4C23×D5311yescharacteristic
2297C22×C4C23×D5311yescharacteristic
2298C22×C4C23×D5312yes—
2299C22×C4C23×D5311yescharacteristic
2300C22×C4C23×D5312yes—
2301C22×C4C23×D5311yescharacteristic
2302C22×C4C23×D5312yes—
2303C22×C4C23×D5312yes—
2304C22×C4C23×D5312yes—
2305C22×C4C23×D5314yes—
2306C22×C4C23×D5311yescharacteristic
2307C4⋊C4—532no—
2308C4⋊C4—531no—
2309C4⋊C4—534no—
2310C4⋊C4—532no—
2311C4⋊C4—532no—
2312C4⋊C4—531no—
2313C4⋊C4—532no—
2314C4⋊C4—531no—
2315C4⋊C4—532no—
2316C4⋊C4—531no—
2317C4⋊C4—534no—
2318C4⋊C4—532no—
2319C4⋊C4—534no—
2320C4⋊C4—534no—
2321C4⋊C4—534no—
2322C4⋊C4—532no—
2323C4⋊C4—531no—
2324C4⋊C4—532no—
2325C4⋊C4—531no—
2326C4⋊C4—532no—
2327C4⋊C4—532no—
2328C4⋊C4—534no—
2329C4⋊C4—532no—
2330C4⋊C4—532no—
2331C4⋊C4—532no—
2332C4⋊C4—534no—
2333C4⋊C4—532no—
2334C4⋊C4—534no—
2335C4⋊C4—534no—
2336C4⋊C4—534no—
2337C4⋊C4—534no—
2338C4⋊C4—534no—
2339C4⋊C4—534no—
2340C4⋊C4—534no—
2341C4⋊C4—534no—
2342C4⋊C4—534no—
2343C4⋊C4—534no—
2344C4⋊C4—534no—
2345C4⋊C4—532no—
2346C4⋊C4—534no—
2347C4⋊C4—532no—
2348C4⋊C4—532no—
2349C4⋊C4—532no—
2350C4⋊C4—532no—
2351C4⋊C4—534no—
2352C4⋊C4—532no—
2353C4⋊C4C23×D5311yescharacteristic
2354C4⋊C4C23×D5312yes—
2355C4⋊C4C23×D5311yescharacteristic
2356C4⋊C4C23×D5311yescharacteristic
2357C4⋊C4C23×D5311yescharacteristic
2358C4⋊C4C23×D5312yes—
2359C4⋊C4C23×D5314yes—
2360C4⋊C4C23×D5311yescharacteristic
2361C4⋊C4C23×D5311yescharacteristic
2362C4⋊C4C23×D5314yes—
2363C4⋊C4C23×D5314yes—
2364C4⋊C4C23×D5314yes—
2365C4⋊C4C23×D5314yes—
2366C4⋊C4C23×D5314yes—
2367C4⋊C4C23×D5314yes—
2368C4⋊C4C23×D5312yes—
2369C4⋊C4C23×D5312yes—
2370C4⋊C4C23×D5314yes—
2371C4⋊C4C23×D5312yes—
2372C4⋊C4C23×D5314yes—
2373C4⋊C4C23×D5314yes—
2374C4⋊C4C23×D5312yes—
2375C22⋊C4—532no—
2376C22⋊C4—532no—
2377C22⋊C4—532no—
2378C22⋊C4—532no—
2379C22⋊C4—534no—
2380C22⋊C4—532no—
2381C22⋊C4—532no—
2382C22⋊C4—532no—
2383C22⋊C4—532no—
2384C22⋊C4—532no—
2385C22⋊C4—532no—
2386C22⋊C4—532no—
2387C22⋊C4—532no—
2388C22⋊C4—532no—
2389C22⋊C4—532no—
2390C22⋊C4—532no—
2391C22⋊C4—532no—
2392C22⋊C4—534no—
2393C22⋊C4—534no—
2394C22⋊C4—532no—
2395C22⋊C4—534no—
2396C22⋊C4—534no—
2397C22⋊C4—532no—
2398C22⋊C4—534no—
2399C22⋊C4—534no—
2400C22⋊C4—532no—
2401C22⋊C4—534no—
2402C22⋊C4—534no—
2403C22⋊C4—534no—
2404C22⋊C4—534no—
2405C22⋊C4—534no—
2406C22⋊C4—534no—
2407C22⋊C4—534no—
2408C22⋊C4—532no—
2409C22⋊C4—532no—
2410C22⋊C4—534no—
2411C22⋊C4—532no—
2412C22⋊C4—534no—
2413C22⋊C4—532no—
2414C22⋊C4—532no—
2415C22⋊C4—534no—
2416C22⋊C4—532no—
2417C22⋊C4—532no—
2418C22⋊C4—534no—
2419C22⋊C4—534no—
2420C22⋊C4—532no—
2421C22⋊C4C23×D5312yes—
2422C22⋊C4C23×D5312yes—
2423C22⋊C4C23×D5312yes—
2424C22⋊C4C23×D5314yes—
2425C22⋊C4C23×D5314yes—
2426C22⋊C4C23×D5312yes—
2427C22⋊C4C23×D5312yes—
2428C22⋊C4C23×D5314yes—
2429C22⋊C4C23×D5314yes—
2430C22⋊C4C23×D5312yes—
2431C22⋊C4C23×D5312yes—
2432C22⋊C4C23×D5314yes—
2433C22⋊C4C23×D5312yes—
2434C22⋊C4C23×D5312yes—
2435C42—532no—
2436C42—532no—
2437C42—532no—
2438C42—532no—
2439C42—532no—
2440C42—532no—
2441C42—532no—
2442C42—534no—
2443C42—532no—
2444C42—532no—
2445C42—534no—
2446C42—534no—
2447C42—534no—
2448C42—532no—
2449C42—532no—
2450C42—534no—
2451C42—532no—
2452C42—532no—
2453C42—532no—
2454C42—532no—
2455C42C23×D5312yes—
2456C42C23×D5312yes—
2457C42C23×D5314yes—
2458C42C23×D5314yes—
2459C42C23×D5314yes—
2460C42C23×D5312yes—
2461C42C23×D5312yes—
2462C42C23×D5312yes—
2463C23—22no—
2464C23—41no—
2465C23—41no—
2466C23—531no—
2467C23—531no—
2468C23—534no—
2469C23—532no—
2470C23—531no—
2471C23—531no—
2472C23—534no—
2473C23—1064no—
2474C23—1064no—
2475C23—1062no—
2476C23—2121no—
2477C23—2122no—
2478C23—2121no—
2479C23—2122no—
2480C23—2121no—
2481C23—2122no—
2482C23—2121no—
2483C23—2122no—
2484C23C24×D5311yescharacteristic
2485C23C24×D5312yes—
2486C23C24×D5311yescharacteristic
2487C23C24×D5311yescharacteristic
2488Q8—24no—
2489Q8—24no—
2490Q8—22no—
2491Q8—44no—
2492Q8—1062no—
2493Q8—1062no—
2494Q8—1062no—
2495Q8—1062no—
2496Q8—1064no—
2497Q8—1062no—
2498Q8—2124no—
2499Q8—2124no—
2500Q8—2124no—
2501D4—24no—
2502D4—22no—
2503D4—42no—
2504D4—42no—
2505D4—1062no—
2506D4—1062no—
2507D4—1062no—
2508D4—1062no—
2509D4—1064no—
2510D4—1068no—
2511D4—1068no—
2512D4—1062no—
2513D4—1062no—
2514D4—1062no—
2515D4—1062no—
2516D4—1064no—
2517D4—1062no—
2518D4—1062no—
2519D4—1062no—
2520D4—1062no—
2521D4—1064no—
2522D4—1064no—
2523D4—1064no—
2524D4—1064no—
2525D4—1062no—
2526D4—2124no—
2527D4—2122no—
2528D4—2124no—
2529D4—2124no—
2530D4—2124no—
2531D4—2122no—
2532D4—2122no—
2533D4—2122no—
2534D4—2124no—
2535D4—2124no—
2536D4—2124no—
2537D4—2122no—
2538D4—2124no—
2539D4—2122no—
2540C2×C4—22no—
2541C2×C4—24no—
2542C2×C4—22no—
2543C2×C4—22no—
2544C2×C4—22no—
2545C2×C4—22no—
2546C2×C4—24no—
2547C2×C4—42no—
2548C2×C4—44no—
2549C2×C4—42no—
2550C2×C4—42no—
2551C2×C4—534no—
2552C2×C4—531no—
2553C2×C4—531no—
2554C2×C4—534no—
2555C2×C4—534no—
2556C2×C4—534no—
2557C2×C4—534no—
2558C2×C4—532no—
2559C2×C4—532no—
2560C2×C4—532no—
2561C2×C4—532no—
2562C2×C4—531no—
2563C2×C4—531no—
2564C2×C4—532no—
2565C2×C4—532no—
2566C2×C4—532no—
2567C2×C4—534no—
2568C2×C4—1064no—
2569C2×C4—1068no—
2570C2×C4—1068no—
2571C2×C4—1064no—
2572C2×C4—1064no—
2573C2×C4—1062no—
2574C2×C4—1064no—
2575C2×C4—1062no—
2576C2×C4—1062no—
2577C2×C4—1062no—
2578C2×C4—1062no—
2579C2×C4—2122no—
2580C2×C4—2124no—
2581C2×C4—2122no—
2582C2×C4—2122no—
2583C2×C4—2122no—
2584C2×C4—2124no—
2585C2×C4—2122no—
2586C2×C4—2122no—
2587C2×C4—2124no—
2588C2×C4—2124no—
2589C2×C4—2124no—
2590C2×C4—2124no—
2591C2×C4—2122no—
2592C2×C4—2122no—
2593C2×C4—2124no—
2594C2×C4—2122no—
2595C2×C4—2122no—
2596C2×C4—2124no—
2597C2×C4—2122no—
2598C2×C4—2122no—
2599C2×C4—2124no—
2600C2×C4—2122no—
2601C2×C4#41×D5314yes—
2602C2×C4C24×D5312yes—
2603C2×C4C24×D5311yescharacteristic
2604C2×C4C24×D5312yes—
2605C2×C4C24×D5312yes—
2606C2×C4C24×D5312yes—
2607C2×C4C24×D5314yes—
2608C2×C4C24×D5312yes—
2609C2×C4C24×D5312yes—
2610C2×C4C24×D5312yes—
2611C2×C4C24×D5314yes—
2612C2×C4C24×D5311yescharacteristic
2613C2×C4C24×D5311yescharacteristic
2614C2×C4C24×D5311yescharacteristic
2615C22—21no—
2616C22—21no—
2617C22—21no—
2618C22—21no—
2619C22—22no—
2620C22—22no—
2621C22—21no—
2622C22—21no—
2623C22—21no—
2624C22—21no—
2625C22—22no—
2626C22—82no—
2627C22—532no—
2628C22—532no—
2629C22—1061no—
2630C22—1061no—
2631C22—1061no—
2632C22—1061no—
2633C22—1064no—
2634C22—1061no—
2635C22—1061no—
2636C22—1062no—
2637C22—1062no—
2638C22—1061no—
2639C22—1061no—
2640C22—1064no—
2641C22—1061no—
2642C22—1064no—
2643C22—1061no—
2644C22—1062no—
2645C22—4244no—
2646C22—4242no—
2647C22—2124no—
2648C22—2128no—
2649C22C2×#41×D5312yes—
2650C22C25×D5311yescharacteristic
2651C4—21no—
2652C4—21no—
2653C4—22no—
2654C4—24no—
2655C4—22no—
2656C4—24no—
2657C4—22no—
2658C4—22no—
2659C4—22no—
2660C4—22no—
2661C4—22no—
2662C4—532no—
2663C4—532no—
2664C4—1062no—
2665C4—1061no—
2666C4—1061no—
2667C4—1062no—
2668C4—1064no—
2669C4—1062no—
2670C4—1062no—
2671C4—1062no—
2672C4—1062no—
2673C4—1062no—
2674C4C2×#41×D5312yes—
2675C4C2×#41×D5312yes—
2676C2—22no—
2677C2—41no—
2678C2—41no—
2679C2—42no—
2680C2—1062no—
2681C2—1062no—
2682C2—2124no—
2683C2—2121no—
2684C2—2121no—
2685C2—2122no—
2686C2C22×#41×D5311yescharacteristic
2687C2#2028952611yescharacteristic
2688C2#2028952711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3495C2
hypercenter#3495D53
hypocenterC53#62856
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3495

Complements

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

NH ≅ G/Ntype
1. #20288638C2semidirect
2. #20288630C2semidirect
3. #20288629C2semidirect
4. #20288629C2semidirect
5. #20288627C2semidirect
6. #20288623C2semidirect
7. #20288620C2semidirect
8. #20288619C2semidirect
9. #20288555C2semidirect
10. #20288546C2semidirect
11. #20288464C2semidirect
12. #20288461C2semidirect
13. #20288458C2semidirect
14. #20288457C2semidirect
15. #20288453C2semidirect
16. #20288452C2semidirect
17. #20288451C2semidirect
18. #20288450C2semidirect
19. #20288441C2semidirect
20. #20288433C2semidirect
21. #20288429C2semidirect
22. #20288423C2semidirect
23. #20288415C2semidirect
24. #20288147C2semidirect
25. #20288146C2semidirect
26. #20288136C2semidirect
27. #20288135C2semidirect
28. #544×D53C2semidirect
29. #20288047C2semidirect
30. #20288045C2semidirect
31. C2×#16811203C2semidirect
32. #20287917C2semidirect
33. #20287916C2semidirect
34. #520×D53C2semidirect
35. C53×#3495C2semidirect
39. #16811346C22semidirect
40. #16811345C22semidirect
41. #16811344C22semidirect
42. #16811344C22semidirect
43. #16811340C22semidirect
44. #16811339C22semidirect
45. #16811338C22semidirect
46. #16811336C22semidirect
47. #16811336C22semidirect
48. #16811336C22semidirect
49. #16811335C22semidirect
50. #16811333C22semidirect
51. #16811331C22semidirect
52. #16811331C22semidirect
53. #16811329C22semidirect
54. #16811327C22semidirect
55. #16811326C22semidirect
56. #16811326C22semidirect
57. #16811326C22semidirect
58. #16811326C22semidirect
59. #16811326C22semidirect
60. #16811324C22semidirect
61. #16811324C22semidirect
62. #16811324C22semidirect
63. #16811324C22semidirect
64. #16811324C22semidirect
65. #16811324C22semidirect
66. #16811323C22semidirect
67. #16811322C22semidirect
68. #16811321C22semidirect
69. #16811321C22semidirect
70. #16811319C22semidirect
71. #16811319C22semidirect
72. #16811318C22semidirect
73. #16811318C22semidirect
74. #16811318C22semidirect
75. #16811317C22semidirect
76. #16811317C22semidirect
77. #16811317C22semidirect
78. #16811317C22semidirect
79. #16811315C22semidirect
80. #16811315C22semidirect
81. #16811314C22semidirect
82. #16811314C22semidirect
83. #16811310C22semidirect
84. #16811309C22semidirect
85. #16811308C22semidirect
86. #16811307C22semidirect
87. #16811307C22semidirect
88. #16811306C22semidirect
89. #16811306C22semidirect
90. #16811305C22semidirect
91. #16811305C22semidirect
92. #16811302C22semidirect
93. #16811300C22semidirect
94. #16811299C22semidirect
95. #16811297C22semidirect
96. #16811297C22semidirect
97. #16811296C22semidirect
98. #16811296C22semidirect
99. #16811285C22semidirect
100. #16811283C22semidirect
101. #16811283C22semidirect
102. #16811281C22semidirect
103. #16811277C22semidirect
104. #16811276C22semidirect
105. #16811275C22semidirect
106. #16811274C22semidirect
107. #16811274C22semidirect
108. #16811271C22semidirect
109. #16811269C22semidirect
110. #16811264C22semidirect
111. #16811263C22semidirect
112. #16811260C22semidirect
113. #16811254C22semidirect
114. #16811253C22semidirect
115. #16811253C22semidirect
116. #16811252C22semidirect
117. #16811251C22semidirect
118. #16811251C22semidirect
119. #16811250C22semidirect
120. #16811250C22semidirect
121. #16811247C22semidirect
122. #16811246C22semidirect
123. #16811246C22semidirect
124. #16811245C22semidirect
125. #16811245C22semidirect
126. #16811244C22semidirect
127. #16811243C22semidirect
128. #16811243C22semidirect
129. #16811242C22semidirect
130. #16811239C22semidirect
131. #16811239C22semidirect
132. #16811234C22semidirect
133. #16811233C22semidirect
134. #16811232C22semidirect
135. #16811232C22semidirect
136. #16811231C22semidirect
137. #16811229C22semidirect
138. #16811228C22semidirect
139. #16811226C22semidirect
140. #16811225C22semidirect
141. #16811225C22semidirect
142. #16811224C22semidirect
143. #16811221C22semidirect
144. #16811221C22semidirect
145. #16811219C22semidirect
146. #16811214C22semidirect
147. #16811212C22semidirect
148. #16811212C22semidirect
149. #16811209C22semidirect
150. #16811207C22semidirect
155. #16811203C22semidirect
156. #16811203C22semidirect
157. #16811203C22semidirect
158. #16811203C22semidirect
159. #16811203C22semidirect
160. #16811203C22semidirect
161. #16811203C22semidirect
162. #16811203C22semidirect
163. #16811202C22semidirect
164. #16811202C22semidirect
165. #16811198C22semidirect
167. #16811196C22semidirect
168. #16811196C22semidirect
171. #16811191C22semidirect
172. #16811189C22semidirect
173. #16811189C22semidirect
179. #16811179C22semidirect
180. #16811178C22semidirect
181. #16811177C22semidirect
182. #16811177C22semidirect
183. #16811175C22semidirect
184. #16811174C22semidirect
185. #16811174C22semidirect
186. #16811173C22semidirect
187. #16811172C22semidirect
188. #16811172C22semidirect
189. #16811170C22semidirect
190. #16811170C22semidirect
191. #16811170C22semidirect
192. #16811170C22semidirect
193. #16811168C22semidirect
194. C4⋊Q8×D53C22semidirect
195. C4⋊Q8×D53C22semidirect
196. #16811160C22semidirect
197. #16811160C22semidirect
198. #16811160C22semidirect
199. #16811159C22semidirect
200. #16811159C22semidirect
201. #16811158C22semidirect
202. #16811158C22semidirect
203. #16811157C22semidirect
204. #16811156C22semidirect
205. #16811156C22semidirect
206. #16811156C22semidirect
207. #16811152C22semidirect
208. #16811151C22semidirect
209. #16811151C22semidirect
210. #16811151C22semidirect
211. #125×D53C22semidirect
212. #125×D53C22semidirect
213. #16811136C22semidirect
214. #16811136C22semidirect
215. #16811136C22semidirect
217. #16811135C22semidirect
219. #16811132C22semidirect
220. #16811132C22semidirect
221. #16811132C22semidirect
223. #16811131C22semidirect
225. C2×#13133195C22semidirect
226. C2×#13133193C22semidirect
229. C2×#13133192C22semidirect
230. C2×#13133191C22semidirect
232. C2×#13133190C22semidirect
234. #16811105C22semidirect
235. #16811105C22semidirect
236. #16811105C22semidirect
237. #16811105C22semidirect
238. #16811105C22semidirect
240. #16811104C22semidirect
241. #16811104C22semidirect
242. #16811104C22semidirect
243. #16811104C22semidirect
244. #16811104C22semidirect
246. #16811103C22semidirect
247. #16811103C22semidirect
248. #16811103C22semidirect
249. #16811103C22semidirect
250. #16811103C22semidirect
252. #16811102C22semidirect
253. #16811101C22semidirect
254. #16811100C22semidirect
257. #16811097C22semidirect
258. #16811097C22semidirect
260. #16811096C22semidirect
261. C4×#11719949C22semidirect
262. C4×#11719949C22semidirect
263. C4×#11719949C22semidirect
264. C4×#11719949C22semidirect
265. C4×#11719945C22semidirect
266. C4×#11719945C22semidirect
267. #16811091C22semidirect
268. #16811091C22semidirect
269. C4×Q8×D53C22semidirect
271. C4×D4×D53C22semidirect
272. C2×#13133176C22semidirect
276. #117×D53C22semidirect
277. #117×D53C22semidirect
278. #117×D53C22semidirect
279. #117×D53C22semidirect
281. C2×C4⋊C4×D53C22semidirect
282. C53×#556C22semidirect
283. C53×#554C22semidirect
284. C53×#552C22semidirect
285. C53×#552C22semidirect
286. C53×#552C22semidirect
287. C53×#551C22semidirect
288. C53×#544C22semidirect
289. C53×#542C22semidirect
290. C53×#541C22semidirect
292. C53×#533C22semidirect
293. C53×#529C22semidirect
295. C2×C22⋊Q8×C53C22semidirect
297. C53×#519C22semidirect
298. C2×#117×C53C22semidirect
920. C2×C4×D53#41semidirect
1346. #3495D53semidirect
1388. #556C2×D53semidirect
1400. #554C2×D53semidirect
1438. #552C2×D53semidirect
1439. #552C2×D53semidirect
1440. #552C2×D53semidirect
1448. #551C2×D53semidirect
1471. #544C2×D53semidirect
1483. #542C2×D53semidirect
1489. #541C2×D53semidirect
1538. #533C2×D53semidirect
1566. #529C2×D53semidirect
1585. C2×C22⋊Q8C2×D53semidirect
1614. #519C2×D53semidirect
1640. C2×#117C2×D53semidirect
1643. C53#62856semidirect

Maximal subgroups

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

subgroupindex
#202886382
#202886302
#202886292
#202886272
#202886232
#202886202
#202886192
#202885552
#202885462
#202884642
#202884612
#202884582
#202884572
#202884532
#202884522
#202884512
#202884502
#202884412
#202884332
#202884292
#202884232
#202884152
#202881472
#202881462
#202881362
#202881352
#544×D532
#202880472
#202880452
C2×#168112032
#202879172
#202879162
#520×D532
C53×#34952
#6285653