Finite Group Databasebeta

← #28292781

Subgroups — #28292781

Order 13568.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289270C214yesmaximal, complemented
2#20289263C214yesmaximal, complemented
3#20289250C212yesmaximal, complemented
4#20289244C212yesmaximal, complemented
5#20289235C212yesmaximal, complemented
6#20289232C212yesmaximal, complemented
7#20289063C214yesmaximal, complemented
8#20289060C211yesmaximal, characteristic, complemented
9#20289056C211yesmaximal, characteristic, complemented
10#20289049C211yesmaximal, characteristic, complemented
11#20289039C211yesmaximal, characteristic, complemented
12#20288801C211yesmaximal, characteristic, complemented
13#20288800C211yesmaximal, characteristic, complemented
14#20288797C211yesmaximal, characteristic, complemented
15#20288749C211yesmaximal, characteristic, complemented
16#20288748C211yesmaximal, characteristic, complemented
17#20288746C211yesmaximal, characteristic, complemented
18#20288742C211yesmaximal, characteristic, complemented
19#20288661C212yesmaximal, complemented
20#20288658C212yesmaximal, complemented
21#20288657C212yesmaximal, complemented
22#20288654C212yesmaximal, complemented
23#20288551C212yesmaximal, complemented
24#20288550C212yesmaximal, complemented
25#20288477C212yesmaximal, complemented
26#20288473C212yesmaximal, complemented
27#20288451C212yesmaximal, complemented
28#20288448C212yesmaximal, complemented
29#20288445C212yesmaximal, complemented
30#20288438C212yesmaximal, complemented
31#20288354C214yesmaximal, complemented
32#532×D53C211yesmaximal, characteristic, complemented
33C2×#16811160C211yesmaximal, characteristic, complemented
34#529×D53C211yesmaximal, characteristic, complemented
35C53×#3522C211yesmaximal, characteristic, complemented
36C2×#13133263C2214yescomplemented
37C2×#41×D53C2212yescomplemented
38#16811374C2214yescomplemented
39#16811374C2214yescomplemented
40#16811372C2214yescomplemented
41#16811370C2214yescomplemented
42#16811369C2214yescomplemented
43#16811365C2214yescomplemented
44#16811363C2214yescomplemented
45#16811361C2214yescomplemented
46#16811358C2211yescharacteristic, complemented
47#16811358C2212yescomplemented
48#16811358C2212yescomplemented
49#16811355C2212yescomplemented
50Q8×Dic106C2211yescharacteristic, complemented
51#16811339C2211yescharacteristic, complemented
52#16811338C2211yescharacteristic, complemented
53#16811336C2214yescomplemented
54#16811335C2214yescomplemented
55#16811334C2211yescharacteristic, complemented
56#16811334C2212yescomplemented
57#16811333C2211yescharacteristic, complemented
58#16811333C2211yescharacteristic, complemented
59#16811333C2212yescomplemented
60#16811332C2212yescomplemented
61#16811326C2212yescomplemented
62#16811326C2212yescomplemented
63#16811325C2212yescomplemented
64#16811324C2214yescomplemented
65#16811324C2214yescomplemented
66#16811323C2212yescomplemented
67#16811323C2212yescomplemented
68#16811322C2214yescomplemented
69#16811322C2214yescomplemented
70#16811321C2212yescomplemented
71#16811321C2214yescomplemented
72#16811320C2212yescomplemented
73#16811319C2212yescomplemented
74#16811318C2214yescomplemented
75#16811317C2214yescomplemented
76#16811316C2214yescomplemented
77#16811314C2212yescomplemented
78#16811314C2212yescomplemented
79#16811311C2212yescomplemented
80#16811307C2212yescomplemented
81#16811303C2214yescomplemented
82#16811303C2214yescomplemented
83#16811302C2214yescomplemented
84#16811302C2214yescomplemented
85#16811300C2214yescomplemented
86#16811300C2214yescomplemented
87#16811298C2214yescomplemented
88#16811298C2214yescomplemented
89#16811297C2214yescomplemented
90#16811297C2214yescomplemented
91#16811295C2211yescharacteristic, complemented
92#16811295C2211yescharacteristic, complemented
93#16811293C2211yescharacteristic, complemented
94#16811285C2212yescomplemented
95#16811284C2212yescomplemented
96#16811281C2212yescomplemented
97#16811278C2212yescomplemented
98#16811278C2212yescomplemented
99#16811276C2214yescomplemented
100#16811276C2212yescomplemented
101#16811276C2212yescomplemented
102#16811276C2212yescomplemented
103#16811275C2214yescomplemented
104#16811274C2214yescomplemented
105#16811274C2212yescomplemented
106#16811274C2212yescomplemented
107#16811274C2214yescomplemented
108#16811272C2214yescomplemented
109#16811271C2214yescomplemented
110#16811271C2214yescomplemented
111#16811269C2214yescomplemented
112#16811269C2214yescomplemented
113#16811269C2214yescomplemented
114#16811268C2212yescomplemented
115#16811268C2214yescomplemented
116#16811268C2212yescomplemented
117#16811266C2212yescomplemented
118#16811266C2212yescomplemented
119#16811266C2214yescomplemented
120#16811266C2212yescomplemented
121#16811266C2214yescomplemented
122#16811265C2214yescomplemented
123#16811265C2214yescomplemented
124#16811265C2214yescomplemented
125#16811265C2214yescomplemented
126#16811264C2214yescomplemented
127#16811264C2214yescomplemented
128#16811264C2212yescomplemented
129#16811262C2214yescomplemented
130#16811262C2214yescomplemented
131#16811261C2212yescomplemented
132#16811261C2214yescomplemented
133#16811261C2212yescomplemented
134#16811261C2214yescomplemented
135D4×D212C2211yescharacteristic, complemented
136D4×D212C2212yescomplemented
137D4×D212C2212yescomplemented
138D4×D212C2212yescomplemented
139D4×D212C2212yescomplemented
140#16811258C2212yescomplemented
141#16811258C2211yescharacteristic, complemented
142#16811258C2212yescomplemented
143#16811257C2212yescomplemented
144#16811257C2212yescomplemented
145#16811254C2212yescomplemented
146#16811253C2212yescomplemented
147#16811250C2212yescomplemented
148#16811250C2212yescomplemented
149#16811247C2214yescomplemented
150#16811247C2212yescomplemented
151#16811246C2212yescomplemented
152#16811245C2214yescomplemented
153#16811245C2212yescomplemented
154#16811245C2212yescomplemented
155#16811245C2212yescomplemented
156#16811242C2212yescomplemented
157#16811241C2214yescomplemented
158#16811238C2212yescomplemented
159#16811229C2212yescomplemented
160#16811228C2212yescomplemented
161#16811227C2212yescomplemented
162#16811226C2212yescomplemented
163#16811224C2212yescomplemented
164#16811224C2212yescomplemented
165#16811224C2212yescomplemented
166#16811224C2212yescomplemented
167#16811222C2214yescomplemented
168#16811220C2214yescomplemented
169#16811219C2214yescomplemented
170#16811219C2214yescomplemented
171#16811217C2214yescomplemented
172#16811216C2214yescomplemented
173#16811213C2214yescomplemented
174#16811213C2214yescomplemented
175#16811212C2214yescomplemented
176#16811209C2214yescomplemented
177#16811207C2214yescomplemented
178#16811207C2214yescomplemented
179#16811207C2214yescomplemented
180#16811206C2214yescomplemented
181#16811206C2214yescomplemented
182#16811205C2214yescomplemented
183#16811203C2214yescomplemented
184#16811201C2214yescomplemented
185#16811198C2214yescomplemented
186#16811196C2214yescomplemented
187#16811191C2212yescomplemented
188#16811191C2212yescomplemented
189#16811187C2212yescomplemented
190#16811186C2212yescomplemented
191#16811184C2214yescomplemented
192#16811184C2214yescomplemented
193#16811184C2214yescomplemented
194#16811181C2214yescomplemented
195#16811181C2214yescomplemented
196#16811181C2214yescomplemented
197#16811174C2212yescomplemented
198#16811174C2211yescharacteristic, complemented
199#16811173C2212yescomplemented
200#16811173C2211yescharacteristic, complemented
201#16811172C2212yescomplemented
202#16811171C2211yescharacteristic, complemented
203#16811170C2212yescomplemented
204#16811170C2212yescomplemented
205#16811170C2212yescomplemented
206#16811169C2212yescomplemented
207#16811168C2212yescomplemented
208#16811168C2212yescomplemented
209C4⋊Q8×D53C2211yescharacteristic, complemented
210#127×D53C2211yescharacteristic, complemented
211#16811160C2211yescharacteristic, complemented
212#16811160C2211yescharacteristic, complemented
213#16811160C2211yescharacteristic, complemented
214#16811160C2211yescharacteristic, complemented
215#16811160C2212yescomplemented
216#16811160C2211yescharacteristic, complemented
217#16811160C2212yescomplemented
218#16811160C2212yescomplemented
219#16811160C2211yescharacteristic, complemented
220#16811160C2211yescharacteristic, complemented
221#16811160C2211yescharacteristic, complemented
222#16811160C2211yescharacteristic, complemented
223#16811160C2212yescomplemented
224#16811160C2212yescomplemented
225#16811159C2211yescharacteristic, complemented
226#16811158C2211yescharacteristic, complemented
227#16811157C2212yescomplemented
228#16811157C2211yescharacteristic, complemented
229#16811156C2212yescomplemented
230#16811155C2211yescharacteristic, complemented
231#16811154C2211yescharacteristic, complemented
232#16811153C2212yescomplemented
233#16811152C2212yescomplemented
234#16811152C2211yescharacteristic, complemented
235#16811151C2212yescomplemented
236#16811150C2212yescomplemented
237C2×#13133212C2212yescomplemented
238#126×D53C2212yescomplemented
239C2×#13133208C2211yescharacteristic, complemented
240#125×D53C2211yescharacteristic, complemented
241C2×#13133206C2211yescharacteristic, complemented
242#124×D53C2212yescomplemented
243#124×D53C2211yescharacteristic, complemented
244#16811136C2212yescomplemented
245#16811136C2212yescomplemented
246#16811136C2214yescomplemented
247#16811133C2212yescomplemented
248#16811132C2214yescomplemented
249#16811130C2212yescomplemented
250C2×#13133202C2212yescomplemented
251C2×#13133202C2214yescomplemented
252#123×D53C2212yescomplemented
253#123×D53C2214yescomplemented
254C2×#13133193C2211yescharacteristic, complemented
255C22⋊Q8×D53C2211yescharacteristic, complemented
256C2×#13133192C2211yescharacteristic
257C2×#13133192C2212yescomplemented
258#121×D53C2211yescharacteristic
259#121×D53C2212yescomplemented
260#121×D53C2212yescomplemented
261#121×D53C2212yescomplemented
262#121×D53C2212yescomplemented
263#121×D53C2212yescomplemented
264#16811105C2212yescomplemented
265#16811105C2212yescomplemented
266#16811102C2212yescomplemented
267#16811097C2212yescomplemented
268#16811095C2214yescomplemented
269#16811095C2212yescomplemented
270#16811095C2212yescomplemented
271#16811095C2212yescomplemented
272C4×Q8×D53C2211yescharacteristic, complemented
273C2×C4×D212C2212yescomplemented
274C2×C4×D212C2211yescharacteristic, complemented
275C4×D4×D53C2212yescomplemented
276C4×D4×D53C2212yescomplemented
277C4×D4×D53C2212yescomplemented
278C4×D4×D53C2211yescharacteristic, complemented
279C2×#13133174C2212yescomplemented
280#117×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#559C2211yescharacteristic, complemented
283C53×#559C2212yescomplemented
284Q82×C53C2211yescharacteristic, complemented
285C53×#554C2211yescharacteristic, complemented
286C53×#554C2212yescomplemented
287C53×#550C2211yescharacteristic, complemented
288C53×#548C2212yescomplemented
289C53×#547C2214yescomplemented
290C53×#547C2212yescomplemented
291C53×#542C2214yescomplemented
292C53×#542C2212yescomplemented
293C53×#532C2212yescomplemented
294C53×#532C2211yescharacteristic, complemented
295C53×#529C2212yescomplemented
296C53×#529C2211yescharacteristic, complemented
297C53×#520C2212yescomplemented
298C2×C4×Q8×C53C2211yescharacteristic, complemented
299#13133263—416no—
300C2×#11719949C2312yes—
301C2×#11719949C2314yes—
302C2×#11719949C2312yes—
303C2×#11719949C2312yes—
304C2×#11719949C2314yes—
305C2×#11719945C2312yes—
306C2×#11719945C2314yes—
307C2×#11719945C2314yes—
308C2×#11719945C2314yes—
309C2×#11719945C2314yes—
310C2×#11719947C2312yes—
311C2×#11719947C2314yes—
312C2×#11719947C2312yes—
313#41×D53—48no—
314C2×Q8×D53C2311yescharacteristic
315C2×Q8×D53C2312yes—
316C22×D212C2312yes—
317C22×D212C2314yes—
318C22×D212C2314yes—
319C22×D212C2312yes—
320C22×D212C2311yescharacteristic
321C2×D4×D53C2312yes—
322C2×D4×D53C2314yes—
323C2×D4×D53C2314yes—
324C2×D4×D53C2314yes—
325C2×D4×D53C2314yes—
326C2×D4×D53C2314yes—
327C2×D4×D53C2312yes—
328C2×D4×D53C2312yes—
329C2×D4×D53C2312yes—
330C2×D4×D53C2312yes—
331C2×D4×D53C2311yescharacteristic
332C2×D4×D53C2312yes—
333C2×D4×D53C2312yes—
334C22×C4×D53C2311yescharacteristic
335C22×C4×D53C2311yescharacteristic
336C22×C4×D53C2311yescharacteristic
337C22×C4×D53C2312yes—
338C22×C4×D53C2312yes—
339C22×C4×D53C2314yes—
340#13133217C2312yes—
341#13133217C2311yescharacteristic
342#13133216C2314yes—
343#13133216C2314yes—
344#13133216C2312yes—
345#13133216C2312yes—
346#13133216C2312yes—
347#13133215C2314yes—
348#13133215C2312yes—
349#13133214C2311yescharacteristic
350#13133214C2312yes—
351#13133214C2312yes—
352#13133213C2312yes—
353#13133213C2312yes—
354#13133213C2312yes—
355#13133213C2312yes—
356#13133212C2312yes—
357#13133212C2314yes—
358#13133212C2312yes—
359#13133212C2314yes—
360#13133212C2314yes—
361#13133212C2314yes—
362#13133212C2312yes—
363#13133212C2312yes—
364#13133212C2312yes—
365#13133212C2312yes—
366#13133212C2312yes—
367#13133212C2312yes—
368#13133212C2312yes—
369#13133212C2312yes—
370#13133212C2312yes—
371#13133211C2314yes—
372#13133211C2314yes—
373#13133211C2314yes—
374#13133211C2312yes—
375#13133210C2314yes—
376#13133210C2314yes—
377#13133210C2312yes—
378#13133210C2314yes—
379#13133210C2314yes—
380#13133210C2312yes—
381#13133210C2312yes—
382#13133209C2312yes—
383#13133209C2312yes—
384#13133209C2311yescharacteristic
385#13133208C2312yes—
386#13133208C2314yes—
387#13133208C2311yescharacteristic
388#13133208C2311yescharacteristic
389#13133208C2312yes—
390#13133208C2311yescharacteristic
391#13133208C2311yescharacteristic
392#13133208C2312yes—
393#13133208C2311yescharacteristic
394#13133208C2311yescharacteristic
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2312yes—
399#13133207C2312yes—
400#13133206C2311yescharacteristic
401#13133206C2314yes—
402#13133206C2314yes—
403#13133206C2314yes—
404#13133206C2312yes—
405#13133206C2311yescharacteristic
406#13133206C2312yes—
407#13133206C2311yescharacteristic
408#13133206C2312yes—
409#13133206C2311yescharacteristic
410#13133206C2311yescharacteristic
411#13133206C2312yes—
412#13133205C2311yescharacteristic
413#13133205C2314yes—
414#13133205C2312yes—
415#13133205C2314yes—
416#13133205C2314yes—
417#13133205C2312yes—
418#13133204C2311yescharacteristic
419#13133204C2312yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2312yes—
426#13133203C2314yes—
427#13133203C2312yes—
428#13133202C2312yes—
429#13133202C2314yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2312yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2312yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2314yes—
444#13133202C2312yes—
445#13133202C2314yes—
446#13133202C2314yes—
447#13133202C2314yes—
448#13133202C2312yes—
449#13133202C2312yes—
450#13133202C2312yes—
451#13133202C2312yes—
452#13133202C2312yes—
453#13133202C2312yes—
454#13133201C2312yes—
455#13133201C2314yes—
456#13133201C2314yes—
457#13133201C2314yes—
458#13133200C2314yes—
459#13133200C2314yes—
460#13133200C2312yes—
461#13133200C2314yes—
462#13133200C2314yes—
463#13133200C2314yes—
464#13133200C2314yes—
465#13133199C2314yes—
466#13133199C2314yes—
467#13133199C2314yes—
468#13133199C2314yes—
469#13133199C2314yes—
470#13133199C2314yes—
471#13133199C2314yes—
472#13133199C2314yes—
473#13133199C2314yes—
474#13133199C2312yes—
475#13133199C2312yes—
476#13133198C2312yes—
477#13133198C2314yes—
478#13133198C2314yes—
479#13133197C2311yescharacteristic
480#13133197C2314yes—
481#13133197C2312yes—
482#13133197C2314yes—
483#13133196C2314yes—
484#13133196C2314yes—
485#13133196C2314yes—
486#13133196C2311yescharacteristic
487#13133195C2314yes—
488#13133195C2314yes—
489#13133195C2314yes—
490#13133195C2314yes—
491#13133195C2314yes—
492#13133195C2314yes—
493#13133195C2314yes—
494#13133195C2312yes—
495#13133194C2314yes—
496#13133194C2314yes—
497#13133194C2312yes—
498#13133193C2311yescharacteristic
499#13133193C2311yescharacteristic
500#13133193C2314yes—
501#13133193C2314yes—
502#13133193C2312yes—
503#13133193C2314yes—
504#13133193C2314yes—
505#13133193C2314yes—
506#13133193C2314yes—
507#13133193C2312yes—
508#13133193C2312yes—
509#13133193C2311yescharacteristic
510#13133193C2311yescharacteristic
511#13133193C2311yescharacteristic
512#13133193C2312yes—
513#13133192C2312yes—
514#13133192C2314yes—
515#13133192C2314yes—
516#13133192C2314yes—
517#13133192C2314yes—
518#13133192C2312yes—
519#13133192C2314yes—
520#13133192C2314yes—
521#13133192C2314yes—
522#13133192C2312yes—
523#13133192C2312yes—
524#13133192C2311yescharacteristic
525#13133192C2312yes—
526#13133192C2311yescharacteristic
527#13133192C2311yescharacteristic
528#13133192C2312yes—
529#13133192C2312yes—
530#13133192C2311yescharacteristic
531#13133192C2312yes—
532#13133192C2311yescharacteristic
533#13133192C2312yes—
534#13133191C2314yes—
535#13133191C2314yes—
536#13133191C2314yes—
537#13133191C2314yes—
538#13133191C2314yes—
539#13133191C2314yes—
540#13133191C2312yes—
541#13133191C2312yes—
542#13133191C2312yes—
543#13133191C2314yes—
544#13133191C2311yescharacteristic
545#13133191C2312yes—
546#13133190C2314yes—
547#13133190C2314yes—
548#13133190C2314yes—
549#13133190C2312yes—
550#13133190C2314yes—
551#13133190C2314yes—
552#13133190C2314yes—
553#13133190C2314yes—
554#13133190C2314yes—
555#13133190C2314yes—
556#13133190C2314yes—
557#13133190C2314yes—
558#13133190C2314yes—
559#13133190C2314yes—
560#13133189C2314yes—
561#13133189C2314yes—
562#13133189C2314yes—
563#13133189C2314yes—
564#13133189C2314yes—
565#13133189C2314yes—
566#13133189C2314yes—
567#13133189C2314yes—
568#13133189C2312yes—
569#13133189C2314yes—
570#13133188C2312yes—
571#13133188C2314yes—
572#13133188C2312yes—
573#13133188C2314yes—
574#13133188C2312yes—
575#13133188C2311yescharacteristic
576#13133188C2312yes—
577#13133188C2312yes—
578#13133188C2312yes—
579#13133187C2314yes—
580#13133187C2314yes—
581#13133187C2314yes—
582#13133187C2314yes—
583#13133187C2314yes—
584#13133187C2314yes—
585#13133187C2314yes—
586#13133187C2314yes—
587#13133187C2314yes—
588#13133187C2314yes—
589#13133187C2314yes—
590#13133187C2314yes—
591#13133185C2314yes—
592#13133185C2314yes—
593#13133185C2314yes—
594#13133185C2314yes—
595#13133185C2314yes—
596#13133185C2314yes—
597#13133185C2314yes—
598#13133185C2314yes—
599Q8×Dic53C2312yes—
600Q8×Dic53C2311yescharacteristic
601C4×Dic106C2312yes—
602C4×Dic106C2311yescharacteristic
603C4×Dic106C2312yes—
604#13133182C2311yescharacteristic
605#13133182C2312yes—
606C4×D212C2312yes—
607C4×D212C2314yes—
608C4×D212C2312yes—
609C4×D212C2312yes—
610C4×D212C2312yes—
611C4×D212C2312yes—
612C4×D212C2312yes—
613C4×D212C2312yes—
614C4×D212C2312yes—
615C4×D212C2314yes—
616C4×D212C2312yes—
617C4×D212C2312yes—
618C4×D212C2312yes—
619C4×D212C2314yes—
620C4×D212C2312yes—
621C4×D212C2312yes—
622C4×D212C2312yes—
623C4×D212C2312yes—
624C4×D212C2312yes—
625C4×D212C2311yescharacteristic
626C4×D212C2311yescharacteristic
627C4×D212C2311yescharacteristic
628C4×D212C2312yes—
629C4×D212C2311yescharacteristic
630C4×D212C2311yescharacteristic
631C4×D212C2312yes—
632D4×Dic53C2314yes—
633D4×Dic53C2312yes—
634D4×Dic53C2312yes—
635D4×Dic53C2312yes—
636D4×Dic53C2311yescharacteristic
637D4×Dic53C2312yes—
638#13133179C2312yes—
639#13133179C2314yes—
640#13133179C2312yes—
641#13133179C2314yes—
642#13133179C2314yes—
643#13133179C2314yes—
644#13133179C2312yes—
645#13133179C2312yes—
646#13133179C2314yes—
647#13133179C2311yescharacteristic
648#13133179C2312yes—
649C4×C22⋊D53C2314yes—
650C4×C22⋊D53C2314yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2314yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2314yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2314yes—
658C4×C22⋊D53C2314yes—
659C4×C22⋊D53C2314yes—
660#13133177C2312yes—
661#13133177C2312yes—
662#13133177C2314yes—
663#13133177C2314yes—
664#13133177C2314yes—
665#13133177C2314yes—
666#13133177C2314yes—
667#13133177C2314yes—
668#13133177C2314yes—
669#13133177C2312yes—
670#13133177C2314yes—
671#13133176C2312yes—
672#13133176C2312yes—
673#13133175C2312yes—
674#13133175C2314yes—
675#13133175C2312yes—
676#13133175C2312yes—
677#13133175C2312yes—
678#13133175C2312yes—
679#13133174C2312yes—
680#13133174C2314yes—
681#13133174C2312yes—
682#13133174C2314yes—
683#13133174C2312yes—
684#13133174C2314yes—
685#13133174C2312yes—
686#13133174C2312yes—
687#13133174C2312yes—
688#13133174C2312yes—
689#13133174C2312yes—
690#13133174C2312yes—
691#13133174C2312yes—
692#13133173C2314yes—
693#13133173C2312yes—
694#13133173C2312yes—
695C2×C4⋊Dic53C2311yescharacteristic
696C2×C4⋊Dic53C2312yes—
697C2×#11719919C2312yes—
698C2×#11719919C2314yes—
699C2×#11719919C2312yes—
700C4⋊C4×D53C2312yes—
701C4⋊C4×D53C2314yes—
702C4⋊C4×D53C2312yes—
703C4⋊C4×D53C2314yes—
704C4⋊C4×D53C2312yes—
705C4⋊C4×D53C2312yes—
706C4⋊C4×D53C2311yescharacteristic
707C4⋊C4×D53C2312yes—
708C4⋊C4×D53C2312yes—
709C4⋊C4×D53C2312yes—
710C4⋊C4×D53C2312yes—
711C4⋊C4×D53C2311yescharacteristic
712C4⋊C4×D53C2312yes—
713C2×#11719921C2312yes—
714C2×#11719921C2312yes—
715C2×#11719921C2314yes—
716C2×#11719921C2314yes—
717C2×#11719921C2312yes—
718C2×#11719921C2314yes—
719C2×#11719921C2314yes—
720C2×#11719921C2312yes—
721C2×#11719921C2312yes—
722C22⋊C4×D53C2314yes—
723C22⋊C4×D53C2312yes—
724C22⋊C4×D53C2314yes—
725C22⋊C4×D53C2314yes—
726C22⋊C4×D53C2312yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2312yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2314yes—
732C22⋊C4×D53C2314yes—
733C22⋊C4×D53C2312yes—
734C22⋊C4×D53C2312yes—
735C2×C4×Dic53C2311yescharacteristic
736C2×C4×Dic53C2311yescharacteristic
737C2×C4×Dic53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2311yescharacteristic
745C42×D53C2311yescharacteristic
746C42×D53C2312yes—
747C2×#41×C53C2314yes—
748C2×#41×C53C2312yes—
749C2×#41×C53C2312yes—
750C22×Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2312yes—
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2314yes—
754C4⋊Q8×C53C2311yescharacteristic
755#127×C53C2311yescharacteristic
756#127×C53C2312yes—
757#126×C53C2314yes—
758#126×C53C2312yes—
759#125×C53C2312yes—
760#125×C53C2311yescharacteristic
761#124×C53C2314yes—
762#124×C53C2311yescharacteristic
763#124×C53C2312yes—
764#124×C53C2312yes—
765#124×C53C2314yes—
766#124×C53C2312yes—
767#123×C53C2312yes—
768#123×C53C2314yes—
769#123×C53C2314yes—
770#123×C53C2314yes—
771#123×C53C2314yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2314yes—
774C22⋊Q8×C53C2314yes—
775C22⋊Q8×C53C2314yes—
776C22⋊Q8×C53C2314yes—
777C22⋊Q8×C53C2311yescharacteristic
778#121×C53C2311yescharacteristic
779#121×C53C2312yes—
780#121×C53C2314yes—
781#121×C53C2312yes—
782#121×C53C2312yes—
783#121×C53C2314yes—
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2311yescharacteristic
787C4×Q8×C53C2311yescharacteristic
788C4×Q8×C53C2312yes—
789C4×Q8×C53C2311yescharacteristic
790C4×Q8×C53C2312yes—
791C4×Q8×C53C2311yescharacteristic
792C4×Q8×C53C2312yes—
793C4×D4×C53C2314yes—
794C4×D4×C53C2312yes—
795C4×D4×C53C2312yes—
796C4×D4×C53C2314yes—
797C4×D4×C53C2314yes—
798C4×D4×C53C2312yes—
799C4×D4×C53C2312yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2312yes—
802C4×D4×C53C2312yes—
803C4×D4×C53C2311yescharacteristic
804#117×C53C2314yes—
805#117×C53C2312yes—
806C2×C4⋊C4×C53C2311yescharacteristic
807C2×C4⋊C4×C53C2312yes—
808C2×C4⋊C4×C53C2312yes—
809C2×C4⋊C4×C53C2314yes—
810C2×C42×C53C2311yescharacteristic
811C2×C42×C53C2312yes—
812C23×D53C2412yes—
813C23×D53C2414yes—
814C23×D53C2412yes—
815C23×D53C2414yes—
816C23×D53C2414yes—
817C23×D53C2411yescharacteristic
818#41×C53—44no—
819#41×C53—48no—
820#41×C53—44no—
821C2×Q8×C53—42no—
822C2×Q8×C53C2411yescharacteristic
823C2×Q8×C53C2411yescharacteristic
824C2×Q8×C53C2411yescharacteristic
825C2×Q8×C53C2412yes—
826C2×Q8×C53C2414yes—
827C2×Q8×C53C2412yes—
828C2×D4×C53C2411yescharacteristic
829C2×D4×C53C2412yes—
830C2×D4×C53C2412yes—
831C2×D4×C53C2414yes—
832C2×D4×C53C2412yes—
833C2×D4×C53C2414yes—
834C2×D4×C53C2412yes—
835C2×D4×C53C2414yes—
836C22×C4×C53C2411yescharacteristic
837C22×C4×C53C2411yescharacteristic
838C22×C4×C53C2412yes—
839C22×C4×C53C2411yescharacteristic
840C22×C4×C53C2412yes—
841C22×C4×C53C2412yes—
842C22×C4×C53C2414yes—
843C22×C4×C53C2414yes—
844C22×C4×C53C2414yes—
845C22×C4×C53C2414yes—
846C2×C22⋊D53C2412yes—
847C2×C22⋊D53C2414yes—
848C2×C22⋊D53C2414yes—
849C2×C22⋊D53C2412yes—
850C2×C22⋊D53C2414yes—
851C2×C22⋊D53C2412yes—
852C2×C22⋊D53C2414yes—
853C2×C22⋊D53C2414yes—
854C2×C22⋊D53C2414yes—
855C2×C22⋊D53C2414yes—
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2414yes—
859C2×C22⋊D53C2414yes—
860C22×Dic53C2411yescharacteristic
861C22×Dic53C2411yescharacteristic
862C22×Dic53C2411yescharacteristic
863C22×Dic53C2412yes—
864C22×Dic53C2414yes—
865C22×Dic53C2412yes—
866C22×Dic53C2414yes—
867#11719949—44no—
868#11719949—48no—
869#11719949—48no—
870#11719949—44no—
871#11719949—44no—
872Q8×D53—42no—
873Q8×D53—44no—
874#11719947—44no—
875#11719947—44no—
876#11719947—48no—
877D4×D53—216no—
878D4×D53—28no—
879D4×D53—44no—
880D4×D53—44no—
881D4×D53—44no—
882D4×D53—42no—
883D4×D53—44no—
884D4×D53—44no—
885D4×D53—44no—
886D4×D53—48no—
887D4×D53—48no—
888D4×D53—48no—
889D4×D53—48no—
890#11719945—48no—
891#11719945—48no—
892#11719945—48no—
893#11719945—44no—
894#11719945—48no—
895C2×D212—28no—
896C2×D212—42no—
897C2×D212—44no—
898C2×D212—48no—
899C2×D212—48no—
900C2×D212C2411yescharacteristic
901C2×D212C2412yes—
902C2×D212C2411yescharacteristic
903C2×D212C2412yes—
904C2×D212C2412yes—
905C2×D212C2414yes—
906C2×D212C2411yescharacteristic
907C2×D212C2412yes—
908C2×D212C2412yes—
909C2×D212C2412yes—
910C2×D212C2412yes—
911C2×D212C2414yes—
912C2×D212C2414yes—
913C2×D212C2414yes—
914C2×D212C2412yes—
915C2×D212C2414yes—
916C2×D212C2412yes—
917C2×D212C2414yes—
918C2×D212C2414yes—
919C2×C4×D53—24no—
920C2×C4×D53—42no—
921C2×C4×D53—44no—
922C2×C4×D53—42no—
923C2×C4×D53—44no—
924C2×C4×D53—48no—
925C2×C4×D53C2411yescharacteristic
926C2×C4×D53C2411yescharacteristic
927C2×C4×D53C2411yescharacteristic
928C2×C4×D53C2411yescharacteristic
929C2×C4×D53C2411yescharacteristic
930C2×C4×D53C2411yescharacteristic
931C2×C4×D53C2411yescharacteristic
932C2×C4×D53C2411yescharacteristic
933C2×C4×D53C2412yes—
934C2×C4×D53C2414yes—
935C2×C4×D53C2412yes—
936C2×C4×D53C2412yes—
937C2×C4×D53C2412yes—
938C2×C4×D53C2411yescharacteristic
939C2×C4×D53C2411yescharacteristic
940C2×C4×D53C2411yescharacteristic
941C2×C4×D53C2411yescharacteristic
942C2×C4×D53C2412yes—
943C2×C4×D53C2412yes—
944C2×C4×D53C2414yes—
945C2×C4×D53C2414yes—
946C2×C4×D53C2412yes—
947C2×C4×D53C2412yes—
948C2×C4×D53C2412yes—
949C2×C4×D53C2414yes—
950C2×C4×D53C2414yes—
951C2×C4×D53C2414yes—
952C2×C4×D53C2414yes—
953C2×C4×D53C2414yes—
954C2×C4×D53C2414yes—
955C2×Dic106C2411yescharacteristic
956C2×Dic106C2412yes—
957C2×Dic106C2414yes—
958C2×Dic106C2412yes—
959C2×Dic106C2414yes—
960C4⋊C4×C53C2411yescharacteristic
961C4⋊C4×C53C2412yes—
962C4⋊C4×C53C2412yes—
963C4⋊C4×C53C2414yes—
964C4⋊C4×C53C2412yes—
965C4⋊C4×C53C2414yes—
966C4⋊C4×C53C2411yescharacteristic
967C4⋊C4×C53C2412yes—
968C4⋊C4×C53C2412yes—
969C4⋊C4×C53C2412yes—
970C4⋊C4×C53C2412yes—
971C4⋊C4×C53C2412yes—
972C4⋊C4×C53C2411yescharacteristic
973C4⋊C4×C53C2411yescharacteristic
974C4⋊C4×C53C2412yes—
975C4⋊C4×C53C2412yes—
976C4⋊C4×C53C2414yes—
977C4⋊C4×C53C2414yes—
978C4⋊C4×C53C2412yes—
979C22⋊C4×C53C2412yes—
980C22⋊C4×C53C2414yes—
981C22⋊C4×C53C2412yes—
982C22⋊C4×C53C2414yes—
983C22⋊C4×C53C2412yes—
984C22⋊C4×C53C2412yes—
985C22⋊C4×C53C2414yes—
986C22⋊C4×C53C2414yes—
987C22⋊C4×C53C2414yes—
988C22⋊C4×C53C2414yes—
989C22⋊C4×C53C2412yes—
990C22⋊C4×C53C2414yes—
991C42×C53C2411yescharacteristic
992C42×C53C2412yes—
993C42×C53C2411yescharacteristic
994C42×C53C2412yes—
995C42×C53C2411yescharacteristic
996C42×C53C2412yes—
997C42×C53C2411yescharacteristic
998C42×C53C2412yes—
999C42×C53C2412yes—
1000C42×C53C2414yes—
1001C22⋊Dic53C2412yes—
1002C22⋊Dic53C2414yes—
1003C22⋊Dic53C2414yes—
1004C22⋊Dic53C2412yes—
1005C22⋊Dic53C2412yes—
1006C22⋊Dic53C2412yes—
1007C22⋊Dic53C2412yes—
1008C22⋊Dic53C2414yes—
1009C22⋊Dic53C2414yes—
1010C22⋊Dic53C2414yes—
1011#11719921C2412yes—
1012#11719921C2412yes—
1013#11719921C2412yes—
1014#11719921C2412yes—
1015#11719921C2412yes—
1016#11719921C2412yes—
1017#11719921C2414yes—
1018#11719921C2412yes—
1019#11719921C2412yes—
1020#11719921C2412yes—
1021#11719921C2414yes—
1022#11719921C2414yes—
1023#11719921C2414yes—
1024#11719921C2414yes—
1025#11719921C2412yes—
1026#11719921C2412yes—
1027#11719921C2412yes—
1028#11719921C2412yes—
1029#11719921C2414yes—
1030#11719921C2412yes—
1031#11719921C2414yes—
1032#11719921C2414yes—
1033#11719921C2414yes—
1034#11719921C2412yes—
1035#11719921C2412yes—
1036#11719921C2412yes—
1037#11719921C2412yes—
1038#11719921C2412yes—
1039#11719921C2412yes—
1040#11719921C2412yes—
1041#11719921C2412yes—
1042#11719921C2412yes—
1043#11719921C2414yes—
1044#11719921C2414yes—
1045#11719921C2412yes—
1046#11719921C2414yes—
1047#11719921C2414yes—
1048#11719921C2414yes—
1049#11719921C2412yes—
1050#11719921C2412yes—
1051#11719921C2412yes—
1052#11719921C2412yes—
1053#11719921C2412yes—
1054#11719921C2412yes—
1055#11719921C2414yes—
1056#11719921C2414yes—
1057C4⋊Dic53C2411yescharacteristic
1058C4⋊Dic53C2412yes—
1059C4⋊Dic53C2412yes—
1060C4⋊Dic53C2412yes—
1061C4⋊Dic53C2411yescharacteristic
1062C4⋊Dic53C2412yes—
1063C4⋊Dic53C2412yes—
1064C4⋊Dic53C2412yes—
1065C4⋊Dic53C2414yes—
1066C4⋊Dic53C2411yescharacteristic
1067C4⋊Dic53C2411yescharacteristic
1068C4⋊Dic53C2412yes—
1069C4⋊Dic53C2412yes—
1070C4⋊Dic53C2412yes—
1071C4⋊Dic53C2412yes—
1072C4⋊Dic53C2412yes—
1073C4⋊Dic53C2414yes—
1074#11719919C2412yes—
1075#11719919C2412yes—
1076#11719919C2414yes—
1077#11719919C2414yes—
1078#11719919C2412yes—
1079#11719919C2414yes—
1080#11719919C2412yes—
1081#11719919C2412yes—
1082#11719919C2412yes—
1083#11719919C2414yes—
1084#11719919C2414yes—
1085#11719919C2412yes—
1086#11719919C2412yes—
1087#11719919C2412yes—
1088#11719919C2412yes—
1089#11719919C2412yes—
1090#11719919C2412yes—
1091#11719919C2412yes—
1092#11719919C2412yes—
1093#11719919C2412yes—
1094#11719919C2412yes—
1095#11719919C2412yes—
1096#11719919C2412yes—
1097#11719919C2414yes—
1098#11719919C2414yes—
1099#11719919C2414yes—
1100C4×Dic53C2411yescharacteristic
1101C4×Dic53C2411yescharacteristic
1102C4×Dic53C2411yescharacteristic
1103C4×Dic53C2411yescharacteristic
1104C4×Dic53C2411yescharacteristic
1105C4×Dic53C2411yescharacteristic
1106C4×Dic53C2411yescharacteristic
1107C4×Dic53C2411yescharacteristic
1108C4×Dic53C2411yescharacteristic
1109C4×Dic53C2411yescharacteristic
1110C4×Dic53C2411yescharacteristic
1111C4×Dic53C2411yescharacteristic
1112C4×Dic53C2412yes—
1113C4×Dic53C2412yes—
1114C4×Dic53C2412yes—
1115C4×Dic53C2414yes—
1116C4×Dic53C2414yes—
1117C4×Dic53C2414yes—
1118C23×C53C2514yes—
1119C23×C53C2512yes—
1120C23×C53C2511yescharacteristic
1121C22×D53—24no—
1122C22×D53—28no—
1123C22×D53—24no—
1124C22×D53—41no—
1125C22×D53—41no—
1126C22×D53—42no—
1127C22×D53—42no—
1128C22×D53—42no—
1129C22×D53—42no—
1130C22×D53—44no—
1131C22×D53—44no—
1132C22×D53—44no—
1133C22×D53—44no—
1134C22×D53—44no—
1135C22×D53—44no—
1136C22×D53—44no—
1137C22×D53—44no—
1138C22×D53H(5,𝔽2)14yes—
1139C22×D53C2514yes—
1140C22×D53C2512yes—
1141C22×D53C2512yes—
1142C22×D53C2512yes—
1143C22×D53C2511yescharacteristic
1144C22×D53C2511yescharacteristic
1145Q8×C53—22no—
1146Q8×C53—22no—
1147Q8×C53—22no—
1148Q8×C53—42no—
1149Q8×C53—44no—
1150Q8×C53—42no—
1151D4×C53—24no—
1152D4×C53—28no—
1153D4×C53—22no—
1154D4×C53—24no—
1155D4×C53—24no—
1156D4×C53—44no—
1157D4×C53—42no—
1158D4×C53—44no—
1159C2×C4×C53—22no—
1160C2×C4×C53—24no—
1161C2×C4×C53—22no—
1162C2×C4×C53—22no—
1163C2×C4×C53—24no—
1164C2×C4×C53—44no—
1165C2×C4×C53—44no—
1166C2×C4×C53—44no—
1167C2×C4×C53—42no—
1168C2×C4×C53—44no—
1169C2×C4×C53C2511yescharacteristic
1170C2×C4×C53C2512yes—
1171C2×C4×C53C2514yes—
1172C2×C4×C53C2512yes—
1173C2×C4×C53C2511yescharacteristic
1174C2×C4×C53C2511yescharacteristic
1175C2×C4×C53C2512yes—
1176C2×C4×C53C2512yes—
1177C2×C4×C53C2512yes—
1178C2×C4×C53C2511yescharacteristic
1179C2×C4×C53C2512yes—
1180C2×C4×C53C2512yes—
1181C2×C4×C53C2511yescharacteristic
1182C2×C4×C53C2511yescharacteristic
1183C22⋊D53—24no—
1184C22⋊D53—28no—
1185C22⋊D53—24no—
1186C22⋊D53—28no—
1187C22⋊D53—44no—
1188C22⋊D53—44no—
1189C22⋊D53—44no—
1190C22⋊D53—42no—
1191C22⋊D53—44no—
1192C22⋊D53—44no—
1193C22⋊D53—44no—
1194C22⋊D53—44no—
1195C22⋊D53—44no—
1196C22⋊D53—44no—
1197C2×Dic53—22no—
1198C2×Dic53—44no—
1199C2×Dic53—41no—
1200C2×Dic53—42no—
1201C2×Dic53—41no—
1202C2×Dic53—42no—
1203C2×Dic53—44no—
1204C2×Dic53C2511yescharacteristic
1205C2×Dic53C2514yes—
1206C2×Dic53C2512yes—
1207C2×Dic53C2511yescharacteristic
1208C2×Dic53C2512yes—
1209C2×Dic53C2511yescharacteristic
1210C2×Dic53C2511yescharacteristic
1211C2×Dic53C2512yes—
1212C2×Dic53C2512yes—
1213C2×Dic53C2512yes—
1214C2×Dic53C2511yescharacteristic
1215C2×Dic53C2511yescharacteristic
1216D212—24no—
1217D212—24no—
1218D212—24no—
1219D212—24no—
1220D212—24no—
1221D212—28no—
1222D212—22no—
1223D212—22no—
1224D212—24no—
1225D212—22no—
1226D212—24no—
1227D212—44no—
1228D212—44no—
1229D212—42no—
1230D212—44no—
1231D212—44no—
1232D212—42no—
1233D212—44no—
1234D212—44no—
1235C4×D53—22no—
1236C4×D53—22no—
1237C4×D53—22no—
1238C4×D53—22no—
1239C4×D53—28no—
1240C4×D53—24no—
1241C4×D53—22no—
1242C4×D53—22no—
1243C4×D53—22no—
1244C4×D53—24no—
1245C4×D53—22no—
1246C4×D53—24no—
1247C4×D53—24no—
1248C4×D53—41no—
1249C4×D53—42no—
1250C4×D53—41no—
1251C4×D53—42no—
1252C4×D53—42no—
1253C4×D53—42no—
1254C4×D53—41no—
1255C4×D53—41no—
1256C4×D53—44no—
1257C4×D53—44no—
1258C4×D53—44no—
1259C4×D53—44no—
1260C4×D53—44no—
1261C4×D53—44no—
1262C4×D53—42no—
1263C4×D53—44no—
1264C4×D53—44no—
1265Dic106—22no—
1266Dic106—44no—
1267Dic106—44no—
1268Dic106—42no—
1269Dic106—42no—
1270#62822—531nomaximal, Sylow
1271C22×C53—21no—
1272C22×C53—21no—
1273C22×C53—24no—
1274C22×C53—22no—
1275C22×C53—24no—
1276C22×C53—22no—
1277C22×C53—22no—
1278C22×C53—24no—
1279C22×C53C2×H(5,𝔽2)12yes—
1280C22×C53C2611yescharacteristic
1281C2×D53—21no—
1282C2×D53—21no—
1283C2×D53—21no—
1284C2×D53—21no—
1285C2×D53—24no—
1286C2×D53—22no—
1287C2×D53—22no—
1288C2×D53—22no—
1289C2×D53—22no—
1290C2×D53—22no—
1291C2×D53—22no—
1292C2×D53—24no—
1293C2×D53—24no—
1294C2×D53—22no—
1295C2×D53—22no—
1296C2×D53—22no—
1297C2×D53—44no—
1298C2×D53—88no—
1299C2×D53—84no—
1300C2×D53—84no—
1301C2×D53—164no—
1302C2×D53—164no—
1303C2×D53C2×H(5,𝔽2)12yes—
1304C2×D53C2×H(5,𝔽2)12yes—
1305C4×C53—21no—
1306C4×C53—22no—
1307C4×C53—24no—
1308C4×C53—21no—
1309C4×C53—22no—
1310C4×C53—22no—
1311C4×C53—22no—
1312C4×C53—21no—
1313C4×C53—22no—
1314C4×C53—21no—
1315C4×C53—22no—
1316C4×C53—22no—
1317C4×C53#58512yes—
1318C4×C53#58512yes—
1319Dic53—21no—
1320Dic53—24no—
1321Dic53—22no—
1322Dic53—21no—
1323Dic53—22no—
1324Dic53—21no—
1325Dic53—21no—
1326Dic53—22no—
1327Dic53—22no—
1328Dic53—22no—
1329Dic53—21no—
1330Dic53—21no—
1331#3560—534no—
1332#3560—534no—
1333#3559—532no—
1334#3559—532no—
1335#3558—532no—
1336#3558—532no—
1337#3545—534no—
1338#3544—531no—
1339#3544—531no—
1340#3543—531no—
1341#3543—531no—
1342#3522—531no—
1343#3522—531no—
1344#3522—531no—
1345#3522D5311yescharacteristic, complemented
1346#3519—531no—
1347#3519—531no—
1348#3519—531no—
1349#3519—531no—
1350#3513—532no—
1351#3513—532no—
1352#3513—532no—
1353#3513—532no—
1354#3505—532no—
1355#3505—532no—
1356#3496—532no—
1357#3496—532no—
1358#3494—532no—
1359#3494—532no—
1360#3494—532no—
1361#3494—532no—
1362#3485—534no—
1363C2×#532—531no—
1364C2×#529—531no—
1365C2×#529—531no—
1366C2×C53—22no—
1367C2×C53—42no—
1368C2×C53—44no—
1369C2×C53C22×H(5,𝔽2)11yescharacteristic
1370C2×C53C2×#58511yescharacteristic
1371C2×C53C2×#58511yescharacteristic
1372D53—22no—
1373D53—22no—
1374D53—44no—
1375D53—42no—
1376D53—42no—
1377D53—42no—
1378C2×H(5,𝔽2)—534no—
1379C22×#41—532no—
1380#563—534no—
1381#563—534no—
1382#563—534no—
1383#562—534no—
1384#562—534no—
1385H(3,𝔽4)—534no—
1386#560—534no—
1387#560—534no—
1388#559—532no—
1389#559—532no—
1390#559—532no—
1391#559—531no—
1392#559C2×D5312yescomplemented
1393#559C2×D5311yescharacteristic, complemented
1394Q82—531no—
1395Q82C2×D5311yescharacteristic, complemented
1396#555—531no—
1397#555—534no—
1398#555—531no—
1399#555—534no—
1400#554—532no—
1401#554—531no—
1402#554—532no—
1403#554—531no—
1404#554—531no—
1405#554—532no—
1406#554C2×D5312yescomplemented
1407#554C2×D5311yescharacteristic, complemented
1408#553—534no—
1409#553—534no—
1410#553—532no—
1411#553—532no—
1412#553—534no—
1413#553—534no—
1414#553—532no—
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#552—532no—
1425#552—532no—
1426#552—532no—
1427#552—532no—
1428#551—534no—
1429#551—534no—
1430#551—534no—
1431#551—534no—
1432#551—534no—
1433#551—534no—
1434#551—534no—
1435#551—534no—
1436#551—534no—
1437#551—534no—
1438#550—531no—
1439#550—531no—
1440#550—531no—
1441#550C2×D5311yescharacteristic, complemented
1442#548—532no—
1443#548—532no—
1444#548—532no—
1445#548C2×D5312yescomplemented
1446#547—534no—
1447#547—534no—
1448#547—532no—
1449#547—532no—
1450#547—532no—
1451#547—534no—
1452#547—534no—
1453#547—534no—
1454#547—532no—
1455#547—532no—
1456#547—534no—
1457#547—534no—
1458#547—532no—
1459#547—532no—
1460#547C2×D5314yescomplemented
1461#547C2×D5312yescomplemented
1462#546—534no—
1463#546—534no—
1464#546—532no—
1465#546—532no—
1466#546—534no—
1467#546—534no—
1468#546—532no—
1469#546—532no—
1470#546—532no—
1471#546—534no—
1472#546—534no—
1473#546—534no—
1474#546—534no—
1475#546—534no—
1476#546—534no—
1477#546—532no—
1478#546—534no—
1479#546—534no—
1480#546—534no—
1481#546—532no—
1482#546—532no—
1483#546—534no—
1484#546—534no—
1485#546—534no—
1486D42—532no—
1487D42—532no—
1488D42—531no—
1489D42—532no—
1490D42—532no—
1491D42—532no—
1492D42—532no—
1493D42—532no—
1494D42—532no—
1495D42—531no—
1496#544—532no—
1497#544—532no—
1498#544—532no—
1499#544—532no—
1500#542—532no—
1501#542—534no—
1502#542—532no—
1503#542—534no—
1504#542—532no—
1505#542—532no—
1506#542—532no—
1507#542—532no—
1508#542—534no—
1509#542—532no—
1510#542C2×D5312yescomplemented
1511#542C2×D5314yescomplemented
1512#540—532no—
1513#540—532no—
1514#540—532no—
1515#540—532no—
1516#540—532no—
1517#540—532no—
1518#540—532no—
1519#540—532no—
1520#539—534no—
1521#539—534no—
1522#539—534no—
1523#539—534no—
1524#539—534no—
1525#539—534no—
1526#538—534no—
1527#538—534no—
1528#538—534no—
1529#538—534no—
1530#538—534no—
1531#538—534no—
1532#538—534no—
1533#538—534no—
1534#538—534no—
1535#538—534no—
1536#537—534no—
1537#537—534no—
1538#536—534no—
1539#536—534no—
1540#535—532no—
1541#535—532no—
1542#535—532no—
1543#535—532no—
1544#534—534no—
1545#534—534no—
1546#534—534no—
1547#534—534no—
1548#534—534no—
1549#534—534no—
1550#532—532no—
1551#532—531no—
1552#532—532no—
1553#532—531no—
1554#532—532no—
1555#532—532no—
1556#532—532no—
1557#532—532no—
1558#532—532no—
1559#532—532no—
1560#532—531no—
1561#532—532no—
1562#532C2×D5311yescharacteristic, complemented
1563#532C2×D5312yescomplemented
1564C2×C4⋊Q8—531no—
1565C2×#127—531no—
1566#529—532no—
1567#529—531no—
1568#529—531no—
1569#529—532no—
1570#529—532no—
1571#529—531no—
1572#529—531no—
1573#529—531no—
1574#529—531no—
1575#529—532no—
1576#529—531no—
1577#529—531no—
1578#529—531no—
1579#529—531no—
1580#529—531no—
1581#529—531no—
1582#529—531no—
1583#529—532no—
1584#529—532no—
1585#529—532no—
1586#529—532no—
1587#529—532no—
1588#529—531no—
1589#529—532no—
1590#529—531no—
1591#529—532no—
1592#529C2×D5311yescharacteristic, complemented
1593#529C2×D5312yescomplemented
1594C2×#126—532no—
1595C2×#126—532no—
1596C2×#125—531no—
1597C2×#125—531no—
1598C2×#124—531no—
1599C2×#124—531no—
1600C2×#124—532no—
1601#525—532no—
1602#525—534no—
1603#525—532no—
1604#525—532no—
1605#525—532no—
1606#525—534no—
1607C2×#123—532no—
1608C2×#123—534no—
1609C2×#123—532no—
1610C2×#123—534no—
1611C2×C22⋊Q8—531no—
1612C2×C22⋊Q8—531no—
1613C2×#121—531no—
1614C2×#121—532no—
1615C2×#121—532no—
1616C2×#121—532no—
1617C2×#121—532no—
1618C2×#121—532no—
1619C2×#121—531no—
1620C2×#121—532no—
1621#520—532no—
1622#520—532no—
1623#520—532no—
1624#520C2×D5312yescomplemented
1625#518—534no—
1626#518—532no—
1627#518—532no—
1628#518—532no—
1629#518—532no—
1630C2×C4×Q8—531no—
1631C2×C4×Q8C2×D5311yescharacteristic, complemented
1632C2×C4×D4—532no—
1633C2×C4×D4—531no—
1634C2×C4×D4—532no—
1635C2×C4×D4—532no—
1636C2×C4×D4—532no—
1637C2×C4×D4—531no—
1638C2×#117—532no—
1639C2×#117—532no—
1640C22×C42—531no—
1641C53#6282211yescharacteristic, complemented, Sylow
1642H(5,𝔽2)—21216no—
1643C2×#41—532no—
1644C2×#41—532no—
1645C2×#41—534no—
1646C2×#41—532no—
1647C2×#41—534no—
1648C2×#41—532no—
1649C2×#41—534no—
1650C2×#41—532no—
1651C2×#41—534no—
1652C2×#41—534no—
1653C2×#41—532no—
1654C2×#41—534no—
1655C2×#41—534no—
1656C2×#41—2128no—
1657C2×#41C22×D5312yes—
1658C2×#41C22×D5312yes—
1659C2×#41C22×D5314yes—
1660C22×Q8—531no—
1661C22×Q8—532no—
1662C22×Q8C22×D5311yescharacteristic
1663C22×D4—532no—
1664C22×D4—534no—
1665C22×D4—531no—
1666C22×D4—532no—
1667C22×D4—532no—
1668C22×D4—532no—
1669C22×D4—532no—
1670C22×D4—532no—
1671C22×D4—534no—
1672C22×D4—534no—
1673C22×D4—534no—
1674C22×D4—534no—
1675C22×D4—532no—
1676C22×D4—532no—
1677C22×D4—531no—
1678C22×D4—532no—
1679C22×D4—534no—
1680C22×D4—534no—
1681C23×C4—531no—
1682C23×C4—532no—
1683C23×C4—532no—
1684C23×C4—531no—
1685C23×C4—531no—
1686C23×C4—534no—
1687C4⋊Q8—532no—
1688C4⋊Q8—534no—
1689C4⋊Q8—532no—
1690C4⋊Q8—532no—
1691C4⋊Q8—532no—
1692C4⋊Q8—534no—
1693C4⋊Q8—534no—
1694C4⋊Q8—531no—
1695C4⋊Q8—532no—
1696C4⋊Q8C22×D5311yescharacteristic
1697C4⋊Q8C22×D5312yes—
1698C4⋊Q8C22×D5312yes—
1699C4⋊Q8C22×D5314yes—
1700#127—532no—
1701#127—532no—
1702#127—532no—
1703#127—532no—
1704#127—531no—
1705#127—532no—
1706#127—532no—
1707#127C22×D5311yescharacteristic
1708#127C22×D5312yes—
1709#126—532no—
1710#126—532no—
1711#126—532no—
1712#126—532no—
1713#126—532no—
1714#126—532no—
1715#126—532no—
1716#126—532no—
1717#126—532no—
1718#126—532no—
1719#126—532no—
1720#126—534no—
1721#126—534no—
1722#126—534no—
1723#126—534no—
1724#126—532no—
1725#126—532no—
1726#126—532no—
1727#126—534no—
1728#126—534no—
1729#126—534no—
1730#126—534no—
1731#126—532no—
1732#126—534no—
1733#126—534no—
1734#126—534no—
1735#126C22×D5312yes—
1736#126C22×D5314yes—
1737#125—532no—
1738#125—532no—
1739#125—531no—
1740#125—531no—
1741#125—531no—
1742#125—531no—
1743#125—531no—
1744#125—531no—
1745#125—532no—
1746#125—532no—
1747#125—532no—
1748#125—534no—
1749#125—534no—
1750#125—534no—
1751#125—534no—
1752#125—531no—
1753#125—532no—
1754#125—532no—
1755#125C22×D5311yescharacteristic
1756#125C22×D5312yes—
1757#124—531no—
1758#124—531no—
1759#124—531no—
1760#124—532no—
1761#124—531no—
1762#124—531no—
1763#124—532no—
1764#124—532no—
1765#124—532no—
1766#124—534no—
1767#124—534no—
1768#124—534no—
1769#124—531no—
1770#124—532no—
1771#124—532no—
1772#124—532no—
1773#124—534no—
1774#124—534no—
1775#124—534no—
1776#124—534no—
1777#124—534no—
1778#124—534no—
1779#124—531no—
1780#124—532no—
1781#124—532no—
1782#124—534no—
1783#124—534no—
1784#124—534no—
1785#124C22×D5311yescharacteristic
1786#124C22×D5312yes—
1787#124C22×D5312yes—
1788#124C22×D5312yes—
1789#124C22×D5314yes—
1790#124C22×D5314yes—
1791#123—532no—
1792#123—534no—
1793#123—534no—
1794#123—532no—
1795#123—534no—
1796#123—534no—
1797#123—534no—
1798#123—534no—
1799#123—534no—
1800#123—534no—
1801#123—532no—
1802#123—532no—
1803#123—532no—
1804#123—532no—
1805#123—532no—
1806#123—532no—
1807#123—532no—
1808#123—532no—
1809#123—532no—
1810#123—532no—
1811#123—534no—
1812#123—534no—
1813#123—534no—
1814#123—534no—
1815#123—534no—
1816#123—534no—
1817#123—534no—
1818#123—534no—
1819#123—534no—
1820#123—534no—
1821#123—534no—
1822#123—534no—
1823#123—534no—
1824#123—534no—
1825#123—534no—
1826#123—534no—
1827#123—532no—
1828#123—532no—
1829#123—532no—
1830#123—534no—
1831#123—534no—
1832#123—534no—
1833#123—534no—
1834#123—534no—
1835#123—534no—
1836#123—534no—
1837#123—534no—
1838#123—534no—
1839#123—534no—
1840#123—534no—
1841#123—534no—
1842#123C22×D5312yes—
1843#123C22×D5314yes—
1844#123C22×D5314yes—
1845#123C22×D5314yes—
1846#123C22×D5314yes—
1847C22⋊Q8—531no—
1848C22⋊Q8—531no—
1849C22⋊Q8—532no—
1850C22⋊Q8—531no—
1851C22⋊Q8—531no—
1852C22⋊Q8—531no—
1853C22⋊Q8—532no—
1854C22⋊Q8—534no—
1855C22⋊Q8—532no—
1856C22⋊Q8—532no—
1857C22⋊Q8—534no—
1858C22⋊Q8—534no—
1859C22⋊Q8—534no—
1860C22⋊Q8—534no—
1861C22⋊Q8—534no—
1862C22⋊Q8—531no—
1863C22⋊Q8—534no—
1864C22⋊Q8—534no—
1865C22⋊Q8—534no—
1866C22⋊Q8—531no—
1867C22⋊Q8—532no—
1868C22⋊Q8—534no—
1869C22⋊Q8—532no—
1870C22⋊Q8—534no—
1871C22⋊Q8—534no—
1872C22⋊Q8—534no—
1873C22⋊Q8—534no—
1874C22⋊Q8—534no—
1875C22⋊Q8—534no—
1876C22⋊Q8—534no—
1877C22⋊Q8—534no—
1878C22⋊Q8—532no—
1879C22⋊Q8—534no—
1880C22⋊Q8—534no—
1881C22⋊Q8C22×D5311yescharacteristic
1882C22⋊Q8C22×D5314yes—
1883C22⋊Q8C22×D5312yes—
1884C22⋊Q8C22×D5314yes—
1885C22⋊Q8C22×D5314yes—
1886C22⋊Q8C22×D5314yes—
1887#121—532no—
1888#121—532no—
1889#121—531no—
1890#121—534no—
1891#121—532no—
1892#121—534no—
1893#121—534no—
1894#121—534no—
1895#121—534no—
1896#121—532no—
1897#121—532no—
1898#121—534no—
1899#121—532no—
1900#121—532no—
1901#121—534no—
1902#121—534no—
1903#121—534no—
1904#121—534no—
1905#121—534no—
1906#121—531no—
1907#121—532no—
1908#121—532no—
1909#121—532no—
1910#121—534no—
1911#121—532no—
1912#121—534no—
1913#121—534no—
1914#121—534no—
1915#121—534no—
1916#121—534no—
1917#121—534no—
1918#121—531no—
1919#121—531no—
1920#121—532no—
1921#121—532no—
1922#121—531no—
1923#121—531no—
1924#121—531no—
1925#121—532no—
1926#121—532no—
1927#121—534no—
1928#121—534no—
1929#121—532no—
1930#121—532no—
1931#121—532no—
1932#121—532no—
1933#121—534no—
1934#121—532no—
1935#121—534no—
1936#121—534no—
1937#121—534no—
1938#121—534no—
1939#121—532no—
1940#121—534no—
1941#121—534no—
1942#121—534no—
1943#121—534no—
1944#121—534no—
1945#121—534no—
1946#121—534no—
1947#121—534no—
1948#121—534no—
1949#121—534no—
1950#121—534no—
1951#121—534no—
1952#121—534no—
1953#121C22×D5311yescharacteristic
1954#121C22×D5312yes—
1955#121C22×D5312yes—
1956#121C22×D5312yes—
1957#121C22×D5314yes—
1958#121C22×D5314yes—
1959#120—534no—
1960#120—534no—
1961#120—534no—
1962#120—534no—
1963#120—534no—
1964#120—534no—
1965#120—534no—
1966#120—534no—
1967#120—534no—
1968#120—534no—
1969#120—534no—
1970#120—534no—
1971#120—534no—
1972#120—534no—
1973#120—534no—
1974#120—534no—
1975#120—534no—
1976#120—534no—
1977#120—534no—
1978#120—534no—
1979C4×Q8—531no—
1980C4×Q8—532no—
1981C4×Q8—531no—
1982C4×Q8—532no—
1983C4×Q8—531no—
1984C4×Q8—532no—
1985C4×Q8—532no—
1986C4×Q8C22×D5311yescharacteristic
1987C4×Q8C22×D5311yescharacteristic
1988C4×Q8C22×D5311yescharacteristic
1989C4×Q8C22×D5312yes—
1990C4×Q8C22×D5311yescharacteristic
1991C4×Q8C22×D5311yescharacteristic
1992C4×Q8C22×D5312yes—
1993C4×Q8C22×D5312yes—
1994C4×Q8C22×D5312yes—
1995C4×D4—531no—
1996C4×D4—532no—
1997C4×D4—532no—
1998C4×D4—532no—
1999C4×D4—534no—
2000C4×D4—532no—
2001C4×D4—532no—
2002C4×D4—532no—
2003C4×D4—532no—
2004C4×D4—534no—
2005C4×D4—534no—
2006C4×D4—534no—
2007C4×D4—534no—
2008C4×D4—534no—
2009C4×D4—534no—
2010C4×D4—534no—
2011C4×D4—534no—
2012C4×D4—531no—
2013C4×D4—532no—
2014C4×D4—532no—
2015C4×D4—532no—
2016C4×D4—534no—
2017C4×D4—534no—
2018C4×D4—534no—
2019C4×D4—532no—
2020C4×D4—534no—
2021C4×D4—532no—
2022C4×D4—534no—
2023C4×D4—532no—
2024C4×D4—532no—
2025C4×D4—532no—
2026C4×D4—534no—
2027C4×D4—534no—
2028C4×D4—534no—
2029C4×D4—534no—
2030C4×D4—534no—
2031C4×D4—534no—
2032C4×D4—534no—
2033C4×D4—534no—
2034C4×D4—531no—
2035C4×D4—531no—
2036C4×D4—532no—
2037C4×D4—532no—
2038C4×D4—532no—
2039C4×D4—532no—
2040C4×D4—532no—
2041C4×D4—532no—
2042C4×D4—532no—
2043C4×D4—531no—
2044C4×D4—531no—
2045C4×D4—531no—
2046C4×D4—532no—
2047C4×D4—532no—
2048C4×D4—532no—
2049C4×D4—532no—
2050C4×D4—532no—
2051C4×D4—532no—
2052C4×D4—534no—
2053C4×D4—532no—
2054C4×D4—532no—
2055C4×D4—532no—
2056C4×D4—532no—
2057C4×D4—534no—
2058C4×D4—532no—
2059C4×D4—534no—
2060C4×D4C22×D5312yes—
2061C4×D4C22×D5312yes—
2062C4×D4C22×D5311yescharacteristic
2063C4×D4C22×D5312yes—
2064C4×D4C22×D5314yes—
2065C4×D4C22×D5312yes—
2066C4×D4C22×D5312yes—
2067C4×D4C22×D5312yes—
2068C4×D4C22×D5314yes—
2069C4×D4C22×D5312yes—
2070C4×D4C22×D5314yes—
2071#117—532no—
2072#117—532no—
2073#117—532no—
2074#117—532no—
2075#117—534no—
2076#117—532no—
2077#117—532no—
2078#117—532no—
2079#117—532no—
2080#117—532no—
2081#117—534no—
2082#117—532no—
2083#117—532no—
2084#117—532no—
2085#117—532no—
2086#117—532no—
2087#117—532no—
2088#117—532no—
2089#117—532no—
2090#117—532no—
2091#117—532no—
2092#117—534no—
2093#117—534no—
2094#117—534no—
2095#117C22×D5312yes—
2096#117C22×D5314yes—
2097C2×C4⋊C4—532no—
2098C2×C4⋊C4—532no—
2099C2×C4⋊C4—531no—
2100C2×C4⋊C4—532no—
2101C2×C4⋊C4—534no—
2102C2×C4⋊C4—532no—
2103C2×C4⋊C4—532no—
2104C2×C4⋊C4—532no—
2105C2×C4⋊C4—532no—
2106C2×C4⋊C4—531no—
2107C2×C4⋊C4—532no—
2108C2×C4⋊C4—531no—
2109C2×C4⋊C4—532no—
2110C2×C4⋊C4—532no—
2111C2×C4⋊C4—532no—
2112C2×C4⋊C4—532no—
2113C2×C4⋊C4—534no—
2114C2×C4⋊C4—534no—
2115C2×C4⋊C4C22×D5311yescharacteristic
2116C2×C4⋊C4C22×D5312yes—
2117C2×C4⋊C4C22×D5312yes—
2118C2×C4⋊C4C22×D5314yes—
2119C2×C22⋊C4—532no—
2120C2×C22⋊C4—532no—
2121C2×C22⋊C4—532no—
2122C2×C22⋊C4—532no—
2123C2×C22⋊C4—532no—
2124C2×C22⋊C4—534no—
2125C2×C22⋊C4—534no—
2126C2×C22⋊C4—534no—
2127C2×C22⋊C4—534no—
2128C2×C22⋊C4—532no—
2129C2×C22⋊C4—532no—
2130C2×C22⋊C4—532no—
2131C2×C22⋊C4—534no—
2132C2×C22⋊C4—534no—
2133C2×C22⋊C4—532no—
2134C2×C22⋊C4—532no—
2135C2×C22⋊C4—534no—
2136C2×C22⋊C4—534no—
2137C2×C22⋊C4—534no—
2138C2×C22⋊C4—534no—
2139C2×C22⋊C4—534no—
2140C2×C22⋊C4—534no—
2141C2×C42—531no—
2142C2×C42—531no—
2143C2×C42—531no—
2144C2×C42—531no—
2145C2×C42—532no—
2146C2×C42—531no—
2147C2×C42—531no—
2148C2×C42—531no—
2149C2×C42—531no—
2150C2×C42—531no—
2151C2×C42—531no—
2152C2×C42—531no—
2153C2×C42C22×D5312yes—
2154C2×C42C22×D5311yescharacteristic
2155C24—531no—
2156C24—534no—
2157C24—532no—
2158C24—532no—
2159C24—534no—
2160C24—534no—
2161#41—44no—
2162#41—48no—
2163#41—44no—
2164#41—2124no—
2165#41—2128no—
2166#41—2128no—
2167#41—2128no—
2168#41—2128no—
2169#41—2128no—
2170#41—2124no—
2171#41—2124no—
2172#41—2124no—
2173#41—2128no—
2174#41—2128no—
2175#41—2124no—
2176#41—2124no—
2177C2×Q8—42no—
2178C2×Q8—531no—
2179C2×Q8—532no—
2180C2×Q8—534no—
2181C2×Q8—534no—
2182C2×Q8—532no—
2183C2×Q8—2124no—
2184C2×Q8—2122no—
2185C2×Q8C23×D5311yescharacteristic
2186C2×Q8C23×D5311yescharacteristic
2187C2×Q8C23×D5311yescharacteristic
2188C2×Q8C23×D5312yes—
2189C2×Q8C23×D5314yes—
2190C2×Q8C23×D5312yes—
2191C2×D4—532no—
2192C2×D4—534no—
2193C2×D4—534no—
2194C2×D4—532no—
2195C2×D4—534no—
2196C2×D4—532no—
2197C2×D4—534no—
2198C2×D4—534no—
2199C2×D4—534no—
2200C2×D4—534no—
2201C2×D4—534no—
2202C2×D4—534no—
2203C2×D4—534no—
2204C2×D4—534no—
2205C2×D4—531no—
2206C2×D4—531no—
2207C2×D4—531no—
2208C2×D4—532no—
2209C2×D4—532no—
2210C2×D4—532no—
2211C2×D4—532no—
2212C2×D4—532no—
2213C2×D4—534no—
2214C2×D4—532no—
2215C2×D4—532no—
2216C2×D4—534no—
2217C2×D4—534no—
2218C2×D4—532no—
2219C2×D4—534no—
2220C2×D4—534no—
2221C2×D4—532no—
2222C2×D4—534no—
2223C2×D4—534no—
2224C2×D4—1068no—
2225C2×D4—10616no—
2226C2×D4—1068no—
2227C2×D4—2122no—
2228C2×D4—2124no—
2229C2×D4—2128no—
2230C2×D4—2128no—
2231C2×D4—2124no—
2232C2×D4—2124no—
2233C2×D4—2124no—
2234C2×D4—2122no—
2235C2×D4—2124no—
2236C2×D4—2124no—
2237C2×D4—2124no—
2238C2×D4—2128no—
2239C2×D4—2128no—
2240C2×D4—2128no—
2241C2×D4—2128no—
2242C2×D4C23×D5312yes—
2243C2×D4C23×D5311yescharacteristic
2244C2×D4C23×D5312yes—
2245C2×D4C23×D5314yes—
2246C2×D4C23×D5312yes—
2247C2×D4C23×D5314yes—
2248C2×D4C23×D5312yes—
2249C2×D4C23×D5314yes—
2250C22×C4—531no—
2251C22×C4—531no—
2252C22×C4—531no—
2253C22×C4—532no—
2254C22×C4—534no—
2255C22×C4—532no—
2256C22×C4—534no—
2257C22×C4—531no—
2258C22×C4—531no—
2259C22×C4—531no—
2260C22×C4—531no—
2261C22×C4—531no—
2262C22×C4—531no—
2263C22×C4—531no—
2264C22×C4—531no—
2265C22×C4—532no—
2266C22×C4—534no—
2267C22×C4—532no—
2268C22×C4—532no—
2269C22×C4—532no—
2270C22×C4—531no—
2271C22×C4—531no—
2272C22×C4—531no—
2273C22×C4—531no—
2274C22×C4—532no—
2275C22×C4—532no—
2276C22×C4—534no—
2277C22×C4—534no—
2278C22×C4—532no—
2279C22×C4—532no—
2280C22×C4—532no—
2281C22×C4—534no—
2282C22×C4—534no—
2283C22×C4—534no—
2284C22×C4—534no—
2285C22×C4—534no—
2286C22×C4—534no—
2287C22×C4—1064no—
2288C22×C4—2122no—
2289C22×C4—2124no—
2290C22×C4—2122no—
2291C22×C4—2124no—
2292C22×C4—2128no—
2293C22×C4C23×D5311yescharacteristic
2294C22×C4C23×D5311yescharacteristic
2295C22×C4C23×D5311yescharacteristic
2296C22×C4C23×D5312yes—
2297C22×C4C23×D5312yes—
2298C22×C4C23×D5312yes—
2299C22×C4C23×D5314yes—
2300C22×C4C23×D5314yes—
2301C22×C4C23×D5314yes—
2302C22×C4C23×D5314yes—
2303C4⋊C4—532no—
2304C4⋊C4—532no—
2305C4⋊C4—532no—
2306C4⋊C4—531no—
2307C4⋊C4—532no—
2308C4⋊C4—532no—
2309C4⋊C4—532no—
2310C4⋊C4—532no—
2311C4⋊C4—534no—
2312C4⋊C4—534no—
2313C4⋊C4—534no—
2314C4⋊C4—532no—
2315C4⋊C4—532no—
2316C4⋊C4—532no—
2317C4⋊C4—531no—
2318C4⋊C4—531no—
2319C4⋊C4—531no—
2320C4⋊C4—532no—
2321C4⋊C4—532no—
2322C4⋊C4—532no—
2323C4⋊C4—532no—
2324C4⋊C4—532no—
2325C4⋊C4—532no—
2326C4⋊C4—532no—
2327C4⋊C4—532no—
2328C4⋊C4—532no—
2329C4⋊C4—532no—
2330C4⋊C4—532no—
2331C4⋊C4—532no—
2332C4⋊C4—532no—
2333C4⋊C4—532no—
2334C4⋊C4—532no—
2335C4⋊C4—534no—
2336C4⋊C4—534no—
2337C4⋊C4—532no—
2338C4⋊C4—532no—
2339C4⋊C4—534no—
2340C4⋊C4—534no—
2341C4⋊C4—532no—
2342C4⋊C4—532no—
2343C4⋊C4—534no—
2344C4⋊C4—534no—
2345C4⋊C4—534no—
2346C4⋊C4C23×D5311yescharacteristic
2347C4⋊C4C23×D5311yescharacteristic
2348C4⋊C4C23×D5312yes—
2349C4⋊C4C23×D5312yes—
2350C4⋊C4C23×D5312yes—
2351C4⋊C4C23×D5312yes—
2352C4⋊C4C23×D5311yescharacteristic
2353C4⋊C4C23×D5312yes—
2354C4⋊C4C23×D5312yes—
2355C4⋊C4C23×D5314yes—
2356C4⋊C4C23×D5312yes—
2357C4⋊C4C23×D5311yescharacteristic
2358C4⋊C4C23×D5312yes—
2359C4⋊C4C23×D5314yes—
2360C4⋊C4C23×D5314yes—
2361C4⋊C4C23×D5312yes—
2362C4⋊C4C23×D5312yes—
2363C4⋊C4C23×D5312yes—
2364C4⋊C4C23×D5314yes—
2365C22⋊C4—532no—
2366C22⋊C4—534no—
2367C22⋊C4—534no—
2368C22⋊C4—532no—
2369C22⋊C4—532no—
2370C22⋊C4—532no—
2371C22⋊C4—532no—
2372C22⋊C4—534no—
2373C22⋊C4—534no—
2374C22⋊C4—534no—
2375C22⋊C4—532no—
2376C22⋊C4—532no—
2377C22⋊C4—532no—
2378C22⋊C4—532no—
2379C22⋊C4—532no—
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—534no—
2389C22⋊C4—534no—
2390C22⋊C4—534no—
2391C22⋊C4—534no—
2392C22⋊C4—534no—
2393C22⋊C4—532no—
2394C22⋊C4—532no—
2395C22⋊C4—532no—
2396C22⋊C4—532no—
2397C22⋊C4—532no—
2398C22⋊C4—532no—
2399C22⋊C4—532no—
2400C22⋊C4—532no—
2401C22⋊C4—532no—
2402C22⋊C4—532no—
2403C22⋊C4—532no—
2404C22⋊C4—532no—
2405C22⋊C4—532no—
2406C22⋊C4—532no—
2407C22⋊C4—534no—
2408C22⋊C4—534no—
2409C22⋊C4—534no—
2410C22⋊C4—532no—
2411C22⋊C4—532no—
2412C22⋊C4—532no—
2413C22⋊C4—534no—
2414C22⋊C4—534no—
2415C22⋊C4—534no—
2416C22⋊C4—534no—
2417C22⋊C4—534no—
2418C22⋊C4—534no—
2419C22⋊C4—534no—
2420C22⋊C4—534no—
2421C22⋊C4C23×D5312yes—
2422C22⋊C4C23×D5312yes—
2423C22⋊C4C23×D5314yes—
2424C22⋊C4C23×D5312yes—
2425C22⋊C4C23×D5312yes—
2426C22⋊C4C23×D5314yes—
2427C22⋊C4C23×D5312yes—
2428C22⋊C4C23×D5314yes—
2429C22⋊C4C23×D5314yes—
2430C22⋊C4C23×D5314yes—
2431C22⋊C4C23×D5314yes—
2432C22⋊C4C23×D5314yes—
2433C42—531no—
2434C42—531no—
2435C42—531no—
2436C42—531no—
2437C42—531no—
2438C42—531no—
2439C42—531no—
2440C42—531no—
2441C42—531no—
2442C42—531no—
2443C42—531no—
2444C42—531no—
2445C42—532no—
2446C42—532no—
2447C42—532no—
2448C42—534no—
2449C42—534no—
2450C42—534no—
2451C42C23×D5311yescharacteristic
2452C42C23×D5311yescharacteristic
2453C42C23×D5311yescharacteristic
2454C42C23×D5311yescharacteristic
2455C42C23×D5312yes—
2456C42C23×D5312yes—
2457C42C23×D5312yes—
2458C42C23×D5312yes—
2459C42C23×D5312yes—
2460C42C23×D5314yes—
2461C23—531no—
2462C23—531no—
2463C23—534no—
2464C23—532no—
2465C23—532no—
2466C23—532no—
2467C23—534no—
2468C23—1068no—
2469C23—1064no—
2470C23—1064no—
2471C23—2124no—
2472C23—2124no—
2473C23—2124no—
2474C23—2124no—
2475C23—2124no—
2476C23—2124no—
2477C23—2122no—
2478C23—2122no—
2479C23—2122no—
2480C23—2124no—
2481C23—2124no—
2482C23—2122no—
2483C23—2121no—
2484C23—2121no—
2485C23C24×D5312yes—
2486C23C24×D5314yes—
2487C23C24×D5311yescharacteristic
2488Q8—22no—
2489Q8—22no—
2490Q8—22no—
2491Q8—42no—
2492Q8—42no—
2493Q8—44no—
2494Q8—1062no—
2495Q8—2122no—
2496Q8—2122no—
2497Q8—2124no—
2498Q8—2124no—
2499D4—24no—
2500D4—28no—
2501D4—24no—
2502D4—22no—
2503D4—24no—
2504D4—44no—
2505D4—42no—
2506D4—44no—
2507D4—1064no—
2508D4—1064no—
2509D4—1064no—
2510D4—1064no—
2511D4—1064no—
2512D4—1068no—
2513D4—1064no—
2514D4—1068no—
2515D4—1064no—
2516D4—1068no—
2517D4—1062no—
2518D4—1062no—
2519D4—1064no—
2520D4—1062no—
2521D4—1064no—
2522D4—2124no—
2523D4—2122no—
2524D4—2124no—
2525D4—2124no—
2526D4—2124no—
2527D4—2122no—
2528D4—2124no—
2529D4—2124no—
2530D4—2124no—
2531D4—2124no—
2532D4—2124no—
2533D4—2124no—
2534D4—2124no—
2535D4—2122no—
2536D4—2124no—
2537D4—2124no—
2538D4—2124no—
2539D4—2124no—
2540C2×C4—22no—
2541C2×C4—24no—
2542C2×C4—22no—
2543C2×C4—24no—
2544C2×C4—22no—
2545C2×C4—44no—
2546C2×C4—44no—
2547C2×C4—44no—
2548C2×C4—42no—
2549C2×C4—44no—
2550C2×C4—531no—
2551C2×C4—531no—
2552C2×C4—532no—
2553C2×C4—531no—
2554C2×C4—531no—
2555C2×C4—531no—
2556C2×C4—531no—
2557C2×C4—532no—
2558C2×C4—532no—
2559C2×C4—532no—
2560C2×C4—534no—
2561C2×C4—532no—
2562C2×C4—1062no—
2563C2×C4—1062no—
2564C2×C4—1062no—
2565C2×C4—1062no—
2566C2×C4—1068no—
2567C2×C4—1064no—
2568C2×C4—1062no—
2569C2×C4—1062no—
2570C2×C4—1062no—
2571C2×C4—1064no—
2572C2×C4—1062no—
2573C2×C4—1062no—
2574C2×C4—1064no—
2575C2×C4—1064no—
2576C2×C4—2122no—
2577C2×C4—2122no—
2578C2×C4—2121no—
2579C2×C4—2121no—
2580C2×C4—2122no—
2581C2×C4—2122no—
2582C2×C4—2121no—
2583C2×C4—2121no—
2584C2×C4—2124no—
2585C2×C4—2124no—
2586C2×C4—2124no—
2587C2×C4—2124no—
2588C2×C4—2124no—
2589C2×C4—2124no—
2590C2×C4—2122no—
2591C2×C4—2124no—
2592C2×C4—2124no—
2593C2×C4—2122no—
2594C2×C4—2121no—
2595C2×C4—2122no—
2596C2×C4—2121no—
2597C2×C4—2124no—
2598C2×C4—2124no—
2599C2×C4C24×D5311yescharacteristic
2600C2×C4C24×D5311yescharacteristic
2601C2×C4C24×D5312yes—
2602C2×C4C24×D5311yescharacteristic
2603C2×C4C24×D5311yescharacteristic
2604C2×C4C24×D5312yes—
2605C2×C4C24×D5312yes—
2606C2×C4C24×D5314yes—
2607C2×C4C24×D5312yes—
2608C2×C4C24×D5312yes—
2609C2×C4C24×D5312yes—
2610C2×C4C24×D5312yes—
2611C2×C4C24×D5311yescharacteristic
2612C2×C4C24×D5311yescharacteristic
2613C22—21no—
2614C22—21no—
2615C22—24no—
2616C22—22no—
2617C22—22no—
2618C22—24no—
2619C22—24no—
2620C22—22no—
2621C22—532no—
2622C22—532no—
2623C22—8484no—
2624C22—8484no—
2625C22—1061no—
2626C22—1061no—
2627C22—1061no—
2628C22—1061no—
2629C22—1064no—
2630C22—1062no—
2631C22—1062no—
2632C22—1062no—
2633C22—1062no—
2634C22—1064no—
2635C22—1062no—
2636C22—1062no—
2637C22—1062no—
2638C22—1062no—
2639C22—1064no—
2640C22—1062no—
2641C22—4244no—
2642C22—4244no—
2643C22—4248no—
2644C22—2124no—
2645C22H(5,𝔽2)×D5312yes—
2646C22C25×D5311yescharacteristic
2647C4—21no—
2648C4—22no—
2649C4—21no—
2650C4—22no—
2651C4—22no—
2652C4—24no—
2653C4—22no—
2654C4—21no—
2655C4—22no—
2656C4—22no—
2657C4—21no—
2658C4—22no—
2659C4—1061no—
2660C4—1061no—
2661C4—1062no—
2662C4—1064no—
2663C4—1061no—
2664C4—1062no—
2665C4—1061no—
2666C4—1062no—
2667C4—1062no—
2668C4—1061no—
2669C4—1061no—
2670C4—1062no—
2671C4#1681145912yes—
2672C4#1681146012yes—
2673C2—22no—
2674C2—42no—
2675C2—44no—
2676C2—1062no—
2677C2—1062no—
2678C2—2122no—
2679C2—2122no—
2680C2—2122no—
2681C2—2124no—
2682C2C2×H(5,𝔽2)×D5311yescharacteristic
2683C2C2×#1681145911yescharacteristic
2684C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3522C2
hypercenter#3522D53
hypocenterC53#62822
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #20289270C2semidirect
2. #20289263C2semidirect
3. #20289250C2semidirect
4. #20289244C2semidirect
5. #20289235C2semidirect
6. #20289232C2semidirect
7. #20289063C2semidirect
8. #20289060C2semidirect
9. #20289056C2semidirect
10. #20289049C2semidirect
11. #20289039C2semidirect
12. #20288801C2semidirect
13. #20288800C2semidirect
14. #20288797C2semidirect
15. #20288749C2semidirect
16. #20288748C2semidirect
17. #20288746C2semidirect
18. #20288742C2semidirect
19. #20288661C2semidirect
20. #20288658C2semidirect
21. #20288657C2semidirect
22. #20288654C2semidirect
23. #20288551C2semidirect
24. #20288550C2semidirect
25. #20288477C2semidirect
26. #20288473C2semidirect
27. #20288451C2semidirect
28. #20288448C2semidirect
29. #20288445C2semidirect
30. #20288438C2semidirect
31. #20288354C2semidirect
32. #532×D53C2semidirect
33. C2×#16811160C2semidirect
34. #529×D53C2semidirect
35. C53×#3522C2semidirect
36. C2×#13133263C22semidirect
37. C2×#41×D53C22semidirect
38. #16811374C22semidirect
39. #16811374C22semidirect
40. #16811372C22semidirect
41. #16811370C22semidirect
42. #16811369C22semidirect
43. #16811365C22semidirect
44. #16811363C22semidirect
45. #16811361C22semidirect
46. #16811358C22semidirect
47. #16811358C22semidirect
48. #16811358C22semidirect
49. #16811355C22semidirect
50. Q8×Dic106C22semidirect
51. #16811339C22semidirect
52. #16811338C22semidirect
53. #16811336C22semidirect
54. #16811335C22semidirect
55. #16811334C22semidirect
56. #16811334C22semidirect
57. #16811333C22semidirect
58. #16811333C22semidirect
59. #16811333C22semidirect
60. #16811332C22semidirect
61. #16811326C22semidirect
62. #16811326C22semidirect
63. #16811325C22semidirect
64. #16811324C22semidirect
65. #16811324C22semidirect
66. #16811323C22semidirect
67. #16811323C22semidirect
68. #16811322C22semidirect
69. #16811322C22semidirect
70. #16811321C22semidirect
71. #16811321C22semidirect
72. #16811320C22semidirect
73. #16811319C22semidirect
74. #16811318C22semidirect
75. #16811317C22semidirect
76. #16811316C22semidirect
77. #16811314C22semidirect
78. #16811314C22semidirect
79. #16811311C22semidirect
80. #16811307C22semidirect
81. #16811303C22semidirect
82. #16811303C22semidirect
83. #16811302C22semidirect
84. #16811302C22semidirect
85. #16811300C22semidirect
86. #16811300C22semidirect
87. #16811298C22semidirect
88. #16811298C22semidirect
89. #16811297C22semidirect
90. #16811297C22semidirect
91. #16811295C22semidirect
92. #16811295C22semidirect
93. #16811293C22semidirect
94. #16811285C22semidirect
95. #16811284C22semidirect
96. #16811281C22semidirect
97. #16811278C22semidirect
98. #16811278C22semidirect
99. #16811276C22semidirect
100. #16811276C22semidirect
101. #16811276C22semidirect
102. #16811276C22semidirect
103. #16811275C22semidirect
104. #16811274C22semidirect
105. #16811274C22semidirect
106. #16811274C22semidirect
107. #16811274C22semidirect
108. #16811272C22semidirect
109. #16811271C22semidirect
110. #16811271C22semidirect
111. #16811269C22semidirect
112. #16811269C22semidirect
113. #16811269C22semidirect
114. #16811268C22semidirect
115. #16811268C22semidirect
116. #16811268C22semidirect
117. #16811266C22semidirect
118. #16811266C22semidirect
119. #16811266C22semidirect
120. #16811266C22semidirect
121. #16811266C22semidirect
122. #16811265C22semidirect
123. #16811265C22semidirect
124. #16811265C22semidirect
125. #16811265C22semidirect
126. #16811264C22semidirect
127. #16811264C22semidirect
128. #16811264C22semidirect
129. #16811262C22semidirect
130. #16811262C22semidirect
131. #16811261C22semidirect
132. #16811261C22semidirect
133. #16811261C22semidirect
134. #16811261C22semidirect
135. D4×D212C22semidirect
136. D4×D212C22semidirect
137. D4×D212C22semidirect
138. D4×D212C22semidirect
139. D4×D212C22semidirect
140. #16811258C22semidirect
141. #16811258C22semidirect
142. #16811258C22semidirect
143. #16811257C22semidirect
144. #16811257C22semidirect
145. #16811254C22semidirect
146. #16811253C22semidirect
147. #16811250C22semidirect
148. #16811250C22semidirect
149. #16811247C22semidirect
150. #16811247C22semidirect
151. #16811246C22semidirect
152. #16811245C22semidirect
153. #16811245C22semidirect
154. #16811245C22semidirect
155. #16811245C22semidirect
156. #16811242C22semidirect
157. #16811241C22semidirect
158. #16811238C22semidirect
159. #16811229C22semidirect
160. #16811228C22semidirect
161. #16811227C22semidirect
162. #16811226C22semidirect
163. #16811224C22semidirect
164. #16811224C22semidirect
165. #16811224C22semidirect
166. #16811224C22semidirect
167. #16811222C22semidirect
168. #16811220C22semidirect
169. #16811219C22semidirect
170. #16811219C22semidirect
171. #16811217C22semidirect
172. #16811216C22semidirect
173. #16811213C22semidirect
174. #16811213C22semidirect
175. #16811212C22semidirect
176. #16811209C22semidirect
177. #16811207C22semidirect
178. #16811207C22semidirect
179. #16811207C22semidirect
180. #16811206C22semidirect
181. #16811206C22semidirect
182. #16811205C22semidirect
183. #16811203C22semidirect
184. #16811201C22semidirect
185. #16811198C22semidirect
186. #16811196C22semidirect
187. #16811191C22semidirect
188. #16811191C22semidirect
189. #16811187C22semidirect
190. #16811186C22semidirect
191. #16811184C22semidirect
192. #16811184C22semidirect
193. #16811184C22semidirect
194. #16811181C22semidirect
195. #16811181C22semidirect
196. #16811181C22semidirect
197. #16811174C22semidirect
198. #16811174C22semidirect
199. #16811173C22semidirect
200. #16811173C22semidirect
201. #16811172C22semidirect
202. #16811171C22semidirect
203. #16811170C22semidirect
204. #16811170C22semidirect
205. #16811170C22semidirect
206. #16811169C22semidirect
207. #16811168C22semidirect
208. #16811168C22semidirect
209. C4⋊Q8×D53C22semidirect
210. #127×D53C22semidirect
211. #16811160C22semidirect
212. #16811160C22semidirect
213. #16811160C22semidirect
214. #16811160C22semidirect
215. #16811160C22semidirect
216. #16811160C22semidirect
217. #16811160C22semidirect
218. #16811160C22semidirect
219. #16811160C22semidirect
220. #16811160C22semidirect
221. #16811160C22semidirect
222. #16811160C22semidirect
223. #16811160C22semidirect
224. #16811160C22semidirect
225. #16811159C22semidirect
226. #16811158C22semidirect
227. #16811157C22semidirect
228. #16811157C22semidirect
229. #16811156C22semidirect
230. #16811155C22semidirect
231. #16811154C22semidirect
232. #16811153C22semidirect
233. #16811152C22semidirect
234. #16811152C22semidirect
235. #16811151C22semidirect
236. #16811150C22semidirect
237. C2×#13133212C22semidirect
238. #126×D53C22semidirect
239. C2×#13133208C22semidirect
240. #125×D53C22semidirect
241. C2×#13133206C22semidirect
242. #124×D53C22semidirect
243. #124×D53C22semidirect
244. #16811136C22semidirect
245. #16811136C22semidirect
246. #16811136C22semidirect
247. #16811133C22semidirect
248. #16811132C22semidirect
249. #16811130C22semidirect
250. C2×#13133202C22semidirect
251. C2×#13133202C22semidirect
252. #123×D53C22semidirect
253. #123×D53C22semidirect
254. C2×#13133193C22semidirect
255. C22⋊Q8×D53C22semidirect
257. C2×#13133192C22semidirect
259. #121×D53C22semidirect
260. #121×D53C22semidirect
261. #121×D53C22semidirect
262. #121×D53C22semidirect
263. #121×D53C22semidirect
264. #16811105C22semidirect
265. #16811105C22semidirect
266. #16811102C22semidirect
267. #16811097C22semidirect
268. #16811095C22semidirect
269. #16811095C22semidirect
270. #16811095C22semidirect
271. #16811095C22semidirect
272. C4×Q8×D53C22semidirect
273. C2×C4×D212C22semidirect
274. C2×C4×D212C22semidirect
275. C4×D4×D53C22semidirect
276. C4×D4×D53C22semidirect
277. C4×D4×D53C22semidirect
278. C4×D4×D53C22semidirect
279. C2×#13133174C22semidirect
280. #117×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#559C22semidirect
283. C53×#559C22semidirect
284. Q82×C53C22semidirect
285. C53×#554C22semidirect
286. C53×#554C22semidirect
287. C53×#550C22semidirect
288. C53×#548C22semidirect
289. C53×#547C22semidirect
290. C53×#547C22semidirect
291. C53×#542C22semidirect
292. C53×#542C22semidirect
293. C53×#532C22semidirect
294. C53×#532C22semidirect
295. C53×#529C22semidirect
296. C53×#529C22semidirect
297. C53×#520C22semidirect
298. C2×C4×Q8×C53C22semidirect
1345. #3522D53semidirect
1392. #559C2×D53semidirect
1393. #559C2×D53semidirect
1395. Q82C2×D53semidirect
1406. #554C2×D53semidirect
1407. #554C2×D53semidirect
1441. #550C2×D53semidirect
1445. #548C2×D53semidirect
1460. #547C2×D53semidirect
1461. #547C2×D53semidirect
1510. #542C2×D53semidirect
1511. #542C2×D53semidirect
1562. #532C2×D53semidirect
1563. #532C2×D53semidirect
1592. #529C2×D53semidirect
1593. #529C2×D53semidirect
1624. #520C2×D53semidirect
1631. C2×C4×Q8C2×D53semidirect
1641. C53#62822semidirect

Maximal subgroups

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

subgroupindex
#202892702
#202892632
#202892502
#202892442
#202892352
#202892322
#202890632
#202890602
#202890562
#202890492
#202890392
#202888012
#202888002
#202887972
#202887492
#202887482
#202887462
#202887422
#202886612
#202886582
#202886572
#202886542
#202885512
#202885502
#202884772
#202884732
#202884512
#202884482
#202884452
#202884382
#202883542
#532×D532
C2×#168111602
#529×D532
C53×#35222
#6282253