Finite Group Databasebeta

← #28292939

Subgroups — #28292939

Order 13568.

7264 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#20289304C212yesmaximal, complemented
2#20289297C212yesmaximal, complemented
3#20289262C214yesmaximal, complemented
4#20289157C211yesmaximal, characteristic, complemented
5#20289145C211yesmaximal, characteristic, complemented
6#20289132C214yesmaximal, complemented
7#20289091C212yesmaximal, complemented
8#20289082C212yesmaximal, complemented
9#20289049C211yesmaximal, characteristic, complemented
10#20289046C211yesmaximal, characteristic, complemented
11#20288904C214yesmaximal, complemented
12#20288762C212yesmaximal, complemented
13#20288750C212yesmaximal, complemented
14#20288744C212yesmaximal, complemented
15#20288737C212yesmaximal, complemented
16#20288721C211yesmaximal, characteristic, complemented
17#20288719C211yesmaximal, characteristic, complemented
18#20288678C212yesmaximal, complemented
19#20288671C211yesmaximal, characteristic, complemented
20#20288670C212yesmaximal, complemented
21#20288630C212yesmaximal, complemented
22#20288572C211yesmaximal, characteristic, complemented
23#20288568C211yesmaximal, characteristic, complemented
24#20288546C214yesmaximal, complemented
25#20288505C212yesmaximal, complemented
26#20288485C211yesmaximal, characteristic, complemented
27#20288471C211yesmaximal, characteristic, complemented
28#20288448C212yesmaximal, complemented
29#20288440C212yesmaximal, complemented
30#20288394C212yesmaximal, complemented
31#20288378C212yesmaximal, complemented
32#20288008C211yesmaximal, characteristic, complemented
33#532×D53C211yesmaximal, characteristic, complemented
34#529×D53C211yesmaximal, characteristic, complemented
35C53×#3514C211yesmaximal, characteristic, complemented
36C2×#13133265C2212yescomplemented
37C2×#13133262C2212yescomplemented
38C2×#41×D53C2212yescomplemented
39#16811375C2214yescomplemented
40#16811374C2214yescomplemented
41#16811368C2214yescomplemented
42#16811367C2214yescomplemented
43#16811363C2214yescomplemented
44#16811362C2214yescomplemented
45#16811362C2214yescomplemented
46#16811361C2214yescomplemented
47#16811359C2211yescharacteristic, complemented
48#16811358C2212yescomplemented
49#16811355C2212yescomplemented
50#16811352C2211yescharacteristic, complemented
51#16811351C2211yescharacteristic, complemented
52#16811347C2211yescharacteristic, complemented
53#16811343C2212yescomplemented
54#16811342C2212yescomplemented
55#16811342C2212yescomplemented
56#16811338C2214yescomplemented
57#16811337C2212yescomplemented
58#16811336C2212yescomplemented
59#16811335C2214yescomplemented
60#16811334C2212yescomplemented
61#16811332C2212yescomplemented
62#16811331C2212yescomplemented
63#16811324C2214yescomplemented
64#16811324C2214yescomplemented
65#16811324C2214yescomplemented
66#16811323C2214yescomplemented
67#16811323C2214yescomplemented
68#16811323C2212yescomplemented
69#16811322C2214yescomplemented
70#16811319C2212yescomplemented
71#16811318C2214yescomplemented
72#16811318C2214yescomplemented
73#16811318C2214yescomplemented
74#16811317C2214yescomplemented
75#16811317C2212yescomplemented
76#16811317C2214yescomplemented
77#16811317C2212yescomplemented
78#16811310C2214yescomplemented
79#16811309C2214yescomplemented
80#16811306C2214yescomplemented
81#16811303C2214yescomplemented
82#16811302C2214yescomplemented
83#16811300C2214yescomplemented
84#16811299C2214yescomplemented
85#16811299C2214yescomplemented
86#16811298C2214yescomplemented
87#16811298C2214yescomplemented
88#16811295C2211yescharacteristic, complemented
89#16811295C2211yescharacteristic, complemented
90#16811294C2211yescharacteristic, complemented
91#16811294C2211yescharacteristic, complemented
92#16811294C2212yescomplemented
93#16811294C2212yescomplemented
94#16811294C2212yescomplemented
95#16811292C2212yescomplemented
96#16811291C2212yescomplemented
97Q8×D212C2212yescomplemented
98#16811288C2212yescomplemented
99#16811288C2211yescharacteristic, complemented
100Q8×C22⋊D53C2212yescomplemented
101#16811284C2212yescomplemented
102#16811283C2212yescomplemented
103#16811283C2214yescomplemented
104#16811283C2212yescomplemented
105#16811281C2214yescomplemented
106#16811281C2214yescomplemented
107#16811281C2212yescomplemented
108#16811280C2212yescomplemented
109#16811278C2212yescomplemented
110#16811278C2211yescharacteristic, complemented
111#16811278C2214yescomplemented
112#16811277C2211yescharacteristic, complemented
113#16811275C2212yescomplemented
114#16811275C2212yescomplemented
115#16811275C2214yescomplemented
116#16811273C2212yescomplemented
117#16811270C2212yescomplemented
118#16811270C2212yescomplemented
119#16811270C2212yescomplemented
120#16811270C2212yescomplemented
121#16811270C2214yescomplemented
122#16811269C2214yescomplemented
123#16811267C2212yescomplemented
124#16811266C2212yescomplemented
125#16811266C2212yescomplemented
126#16811266C2214yescomplemented
127#16811266C2214yescomplemented
128#16811266C2214yescomplemented
129#16811265C2214yescomplemented
130#16811263C2214yescomplemented
131#16811263C2214yescomplemented
132#16811263C2214yescomplemented
133#16811263C2214yescomplemented
134#16811263C2214yescomplemented
135#16811263C2214yescomplemented
136#16811261C2212yescomplemented
137#16811260C2214yescomplemented
138D4×D212C2212yescomplemented
139D4×D212C2212yescomplemented
140#16811258C2211yescharacteristic, complemented
141#16811257C2214yescomplemented
142D4×C22⋊D53C2212yescomplemented
143D4×C22⋊D53C2212yescomplemented
144D4×C22⋊D53C2212yescomplemented
145#16811255C2214yescomplemented
146#16811251C2212yescomplemented
147#16811250C2212yescomplemented
148#16811246C2212yescomplemented
149#16811244C2214yescomplemented
150#16811238C2212yescomplemented
151#16811238C2212yescomplemented
152#16811237C2214yescomplemented
153#16811233C2212yescomplemented
154#16811231C2212yescomplemented
155#16811228C2212yescomplemented
156#16811226C2214yescomplemented
157#16811226C2212yescomplemented
158#16811226C2212yescomplemented
159#16811225C2214yescomplemented
160#16811224C2212yescomplemented
161#16811224C2212yescomplemented
162#16811224C2214yescomplemented
163#16811224C2212yescomplemented
164#16811223C2214yescomplemented
165#16811219C2214yescomplemented
166#16811219C2214yescomplemented
167#16811216C2214yescomplemented
168#16811216C2214yescomplemented
169#16811214C2214yescomplemented
170#16811212C2214yescomplemented
171#16811211C2214yescomplemented
172#16811211C2214yescomplemented
173#16811209C2214yescomplemented
174#16811209C2214yescomplemented
175#16811208C2214yescomplemented
176#16811207C2214yescomplemented
177#16811207C2214yescomplemented
178#16811206C2214yescomplemented
179#16811205C2214yescomplemented
180#16811203C2212yescomplemented
181#16811203C2214yescomplemented
182#16811202C2214yescomplemented
183#16811202C2212yescomplemented
184#16811200C2214yescomplemented
185#16811197C2212yescomplemented
186#16811193C2212yescomplemented
187#16811193C2212yescomplemented
188#16811193C2214yescomplemented
189#16811191C2212yescomplemented
190#16811191C2212yescomplemented
191#16811191C2212yescomplemented
192#16811190C2212yescomplemented
193#16811190C2212yescomplemented
194#16811188C2214yescomplemented
195#16811184C2214yescomplemented
196#16811183C2214yescomplemented
197#16811183C2214yescomplemented
198#16811177C2211yescharacteristic, complemented
199#16811177C2211yescharacteristic, complemented
200#16811176C2211yescharacteristic, complemented
201#16811174C2211yescharacteristic, complemented
202#16811174C2212yescomplemented
203#16811173C2212yescomplemented
204#16811173C2211yescharacteristic, complemented
205#16811172C2212yescomplemented
206#16811172C2212yescomplemented
207#16811171C2211yescharacteristic
208#16811170C2211yescharacteristic, complemented
209#16811170C2211yescharacteristic, complemented
210#16811170C2212yescomplemented
211#16811170C2212yescomplemented
212#16811170C2212yescomplemented
213#16811169C2211yescharacteristic, complemented
214#16811169C2212yescomplemented
215#16811168C2212yescomplemented
216#16811168C2212yescomplemented
217C4⋊Q8×D53C2211yescharacteristic, complemented
218#127×D53C2211yescharacteristic, complemented
219#16811160C2211yescharacteristic, complemented
220#16811160C2211yescharacteristic, complemented
221#16811160C2211yescharacteristic, complemented
222#16811159C2211yescharacteristic, complemented
223#16811158C2212yescomplemented
224#16811158C2211yescharacteristic, complemented
225#16811157C2212yescomplemented
226#16811157C2211yescharacteristic, complemented
227#16811156C2212yescomplemented
228#16811155C2211yescharacteristic, complemented
229#16811155C2211yescharacteristic, complemented
230#16811155C2211yescharacteristic, complemented
231#16811155C2212yescomplemented
232#16811154C2211yescharacteristic, complemented
233#16811153C2212yescomplemented
234#16811153C2212yescomplemented
235#16811153C2212yescomplemented
236#16811152C2212yescomplemented
237#16811152C2212yescomplemented
238#16811152C2211yescharacteristic, complemented
239#16811151C2212yescomplemented
240#16811151C2212yescomplemented
241#16811151C2212yescomplemented
242#16811150C2212yescomplemented
243#126×D53C2212yescomplemented
244#125×D53C2211yescharacteristic, complemented
245#124×D53C2212yescomplemented
246#124×D53C2212yescomplemented
247#124×D53C2211yescharacteristic, complemented
248#16811136C2212yescomplemented
249#16811135C2211yescharacteristic, complemented
250#16811135C2212yescomplemented
251#16811132C2212yescomplemented
252#16811132C2212yescomplemented
253#16811132C2214yescomplemented
254#16811131C2214yescomplemented
255#16811130C2211yescharacteristic, complemented
256#123×D53C2212yescomplemented
257C22⋊Q8×D53C2214yescomplemented
258C22⋊Q8×D53C2211yescharacteristic, complemented
259C2×#13133190C2214yescomplemented
260C2×#13133188C2212yescomplemented
261#121×D53C2211yescharacteristic
262#121×D53C2212yescomplemented
263#121×D53C2212yescomplemented
264#121×D53C2212yescomplemented
265#16811105C2212yescomplemented
266#16811105C2212yescomplemented
267#16811103C2212yescomplemented
268#16811102C2212yescomplemented
269#16811097C2214yescomplemented
270#16811096C2214yescomplemented
271#16811095C2212yescomplemented
272C4×#11719945C2212yescomplemented
273C4×#11719945C2212yescomplemented
274C4×#11719945C2211yescharacteristic, complemented
275C4×Q8×D53C2211yescharacteristic, complemented
276C4×D4×D53C2212yescomplemented
277C4×D4×D53C2211yescharacteristic, complemented
278C4×D4×D53C2212yescomplemented
279C4×D4×D53C2212yescomplemented
280#117×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#559C2211yescharacteristic, complemented
283C53×#556C2211yescharacteristic, complemented
284C53×#555C2212yescomplemented
285C53×#551C2214yescomplemented
286D4×Q8×C53C2211yescharacteristic, complemented
287C53×#548C2212yescomplemented
288C53×#546C2212yescomplemented
289C53×#546C2212yescomplemented
290D42×C53C2211yescharacteristic, complemented
291C53×#542C2212yescomplemented
292C53×#538C2214yescomplemented
293C53×#532C2211yescharacteristic, complemented
294C53×#529C2212yescomplemented
295C53×#529C2211yescharacteristic, complemented
296C2×#124×C53C2212yescomplemented
297C53×#518C2212yescomplemented
298C4×#41×C53C2211yescharacteristic, complemented
299#13133265—48no—
300#13133262—48no—
301C2×#11719949C2312yes—
302C2×#11719949C2314yes—
303C2×#11719949C2312yes—
304C2×#11719949C2312yes—
305C2×#11719945C2312yes—
306C2×#11719945C2314yes—
307C2×#11719945C2312yes—
308C2×#11719945C2311yescharacteristic
309C2×#11719945C2312yes—
310C2×#11719945C2312yes—
311C2×#11719945C2312yes—
312C2×#11719945C2314yes—
313C2×#11719945C2312yes—
314C2×#11719945C2314yes—
315C2×#11719947C2312yes—
316C2×#11719947C2312yes—
317C2×#11719947C2314yes—
318C2×#11719947C2314yes—
319#41×D53—48no—
320C2×Q8×D53C2311yescharacteristic
321C2×Q8×D53C2312yes—
322C2×Q8×D53C2314yes—
323C2×Q8×D53C2312yes—
324C22×D212C2314yes—
325C22×C22⋊D53C2314yes—
326C22×C22⋊D53C2314yes—
327C22×C22⋊D53C2314yes—
328C2×D4×D53C2311yescharacteristic
329C2×D4×D53C2314yes—
330C2×D4×D53C2312yes—
331C2×D4×D53C2314yes—
332C2×D4×D53C2312yes—
333C2×D4×D53C2312yes—
334C2×D4×D53C2312yes—
335C2×D4×D53C2312yes—
336C2×D4×D53C2312yes—
337C22×C4×D53C2311yescharacteristic
338C22×C4×D53C2311yescharacteristic
339C22×C4×D53C2311yescharacteristic
340C22×C4×D53C2312yes—
341C22×C4×D53C2314yes—
342#13133217C2311yescharacteristic
343#13133217C2314yes—
344#13133217C2312yes—
345#13133216C2311yescharacteristic
346#13133216C2312yes—
347#13133216C2311yescharacteristic
348#13133216C2312yes—
349#13133216C2312yes—
350#13133215C2311yescharacteristic
351#13133215C2314yes—
352#13133215C2312yes—
353#13133215C2312yes—
354#13133214C2311yescharacteristic
355#13133214C2312yes—
356#13133214C2312yes—
357#13133213C2312yes—
358#13133213C2314yes—
359#13133213C2312yes—
360#13133213C2314yes—
361#13133213C2311yescharacteristic
362#13133213C2312yes—
363#13133213C2312yes—
364#13133213C2312yes—
365#13133212C2312yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133212C2314yes—
369#13133212C2312yes—
370#13133212C2312yes—
371#13133212C2312yes—
372#13133212C2312yes—
373#13133211C2312yes—
374#13133211C2314yes—
375#13133211C2314yes—
376#13133210C2314yes—
377#13133210C2314yes—
378#13133210C2312yes—
379#13133210C2314yes—
380#13133210C2314yes—
381#13133210C2314yes—
382#13133210C2314yes—
383#13133210C2314yes—
384#13133210C2312yes—
385#13133210C2312yes—
386#13133210C2312yes—
387#13133210C2312yes—
388#13133209C2314yes—
389#13133209C2312yes—
390#13133209C2311yescharacteristic
391#13133208C2314yes—
392#13133208C2314yes—
393#13133208C2312yes—
394#13133208C2311yescharacteristic
395#13133208C2311yescharacteristic
396#13133208C2311yescharacteristic
397#13133208C2311yescharacteristic
398#13133207C2312yes—
399#13133207C2314yes—
400#13133207C2312yes—
401#13133207C2314yes—
402#13133207C2312yes—
403#13133207C2314yes—
404#13133207C2312yes—
405#13133206C2314yes—
406#13133206C2312yes—
407#13133206C2312yes—
408#13133206C2311yescharacteristic
409#13133206C2311yescharacteristic
410#13133205C2314yes—
411#13133205C2311yescharacteristic
412#13133205C2312yes—
413#13133204C2312yes—
414#13133204C2312yes—
415#13133204C2314yes—
416#13133204C2312yes—
417#13133204C2311yescharacteristic
418#13133204C2311yescharacteristic
419#13133203C2314yes—
420#13133203C2312yes—
421#13133203C2312yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2312yes—
426#13133203C2314yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2314yes—
430#13133203C2312yes—
431#13133202C2312yes—
432#13133202C2312yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2312yes—
438#13133202C2312yes—
439#13133201C2314yes—
440#13133201C2314yes—
441#13133201C2314yes—
442#13133201C2312yes—
443#13133201C2312yes—
444#13133200C2314yes—
445#13133200C2314yes—
446#13133200C2314yes—
447#13133200C2314yes—
448#13133200C2314yes—
449#13133200C2312yes—
450#13133199C2314yes—
451#13133199C2314yes—
452#13133199C2314yes—
453#13133199C2314yes—
454#13133199C2314yes—
455#13133199C2314yes—
456#13133199C2314yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2312yes—
465#13133199C2314yes—
466#13133199C2312yes—
467#13133199C2312yes—
468#13133199C2312yes—
469#13133198C2314yes—
470#13133198C2314yes—
471#13133198C2312yes—
472#13133198C2312yes—
473#13133197C2311yescharacteristic
474#13133197C2311yescharacteristic
475#13133197C2312yes—
476#13133197C2312yes—
477#13133197C2314yes—
478#13133197C2314yes—
479#13133197C2311yescharacteristic
480#13133196C2312yes—
481#13133196C2314yes—
482#13133196C2311yescharacteristic
483#13133196C2314yes—
484#13133196C2314yes—
485#13133195C2314yes—
486#13133195C2314yes—
487#13133195C2314yes—
488#13133195C2314yes—
489#13133195C2312yes—
490#13133195C2312yes—
491#13133195C2312yes—
492#13133194C2314yes—
493#13133194C2314yes—
494#13133194C2314yes—
495#13133194C2314yes—
496#13133194C2314yes—
497#13133194C2314yes—
498#13133194C2314yes—
499#13133194C2312yes—
500#13133194C2312yes—
501#13133194C2312yes—
502#13133193C2311yescharacteristic
503#13133193C2311yescharacteristic
504#13133193C2314yes—
505#13133193C2314yes—
506#13133193C2314yes—
507#13133193C2312yes—
508#13133193C2314yes—
509#13133193C2311yescharacteristic
510#13133192C2314yes—
511#13133192C2311yescharacteristic
512#13133192C2312yes—
513#13133192C2314yes—
514#13133192C2314yes—
515#13133192C2312yes—
516#13133192C2311yescharacteristic
517#13133192C2311yescharacteristic
518#13133192C2312yes—
519#13133192C2312yes—
520#13133191C2314yes—
521#13133191C2312yes—
522#13133191C2312yes—
523#13133191C2314yes—
524#13133191C2312yes—
525#13133191C2314yes—
526#13133191C2311yescharacteristic
527#13133191C2312yes—
528#13133191C2314yes—
529#13133191C2314yes—
530#13133191C2312yes—
531#13133190C2314yes—
532#13133190C2314yes—
533#13133190C2314yes—
534#13133190C2314yes—
535#13133190C2314yes—
536#13133190C2314yes—
537#13133190C2314yes—
538#13133190C2314yes—
539#13133190C2314yes—
540#13133190C2314yes—
541#13133190C2314yes—
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2314yes—
545#13133190C2314yes—
546#13133190C2314yes—
547#13133190C2314yes—
548#13133190C2314yes—
549#13133190C2314yes—
550#13133190C2314yes—
551#13133190C2314yes—
552#13133190C2314yes—
553#13133190C2312yes—
554#13133190C2312yes—
555#13133190C2312yes—
556#13133189C2314yes—
557#13133189C2314yes—
558#13133189C2314yes—
559#13133189C2314yes—
560#13133189C2314yes—
561#13133189C2314yes—
562#13133189C2312yes—
563#13133189C2314yes—
564#13133189C2312yes—
565#13133189C2314yes—
566#13133189C2312yes—
567#13133188C2312yes—
568#13133188C2314yes—
569#13133188C2314yes—
570#13133188C2312yes—
571#13133188C2314yes—
572#13133188C2314yes—
573#13133188C2314yes—
574#13133188C2314yes—
575#13133188C2314yes—
576#13133188C2312yes—
577#13133188C2311yescharacteristic
578#13133188C2314yes—
579#13133188C2311yescharacteristic
580#13133188C2312yes—
581#13133188C2312yes—
582#13133188C2311yescharacteristic
583#13133187C2314yes—
584#13133187C2314yes—
585#13133187C2312yes—
586#13133187C2314yes—
587#13133187C2314yes—
588#13133187C2314yes—
589#13133187C2314yes—
590#13133187C2314yes—
591#13133186C2314yes—
592#13133186C2314yes—
593#13133186C2314yes—
594#13133186C2314yes—
595#13133185C2314yes—
596#13133185C2314yes—
597#13133185C2312yes—
598#13133185C2314yes—
599#13133185C2314yes—
600#13133185C2314yes—
601Q8×Dic53C2312yes—
602Q8×Dic53C2311yescharacteristic
603Q8×Dic53C2312yes—
604C4×Dic106C2312yes—
605C4×Dic106C2312yes—
606C4×Dic106C2312yes—
607C4×Dic106C2312yes—
608C4×Dic106C2311yescharacteristic
609C4×Dic106C2312yes—
610C4×Dic106C2311yescharacteristic
611C4×Dic106C2312yes—
612C4×Dic106C2311yescharacteristic
613C4×Dic106C2312yes—
614#13133182C2312yes—
615#13133182C2311yescharacteristic
616#13133182C2312yes—
617C4×D212C2312yes—
618C4×D212C2312yes—
619C4×D212C2314yes—
620C4×D212C2312yes—
621C4×D212C2314yes—
622C4×D212C2312yes—
623C4×D212C2314yes—
624C4×D212C2314yes—
625C4×D212C2312yes—
626C4×D212C2312yes—
627C4×D212C2311yescharacteristic
628C4×D212C2311yescharacteristic
629C4×D212C2312yes—
630C4×D212C2314yes—
631C4×D212C2312yes—
632C4×D212C2311yescharacteristic
633C4×D212C2312yes—
634D4×Dic53C2311yescharacteristic
635D4×Dic53C2312yes—
636D4×Dic53C2312yes—
637D4×Dic53C2312yes—
638D4×Dic53C2312yes—
639D4×Dic53C2312yes—
640#13133179C2314yes—
641#13133179C2311yescharacteristic
642#13133179C2312yes—
643#13133179C2314yes—
644#13133179C2312yes—
645#13133179C2312yes—
646#13133179C2312yes—
647#13133179C2314yes—
648#13133179C2312yes—
649#13133179C2314yes—
650#13133179C2314yes—
651#13133179C2312yes—
652C4×C22⋊D53C2312yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2314yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2312yes—
657C4×C22⋊D53C2312yes—
658C4×C22⋊D53C2312yes—
659C4×C22⋊D53C2314yes—
660C4×C22⋊D53C2314yes—
661C4×C22⋊D53C2314yes—
662C4×C22⋊D53C2314yes—
663C4×C22⋊D53C2314yes—
664C4×C22⋊D53C2312yes—
665C4×C22⋊D53C2312yes—
666C4×C22⋊D53C2312yes—
667C4×C22⋊D53C2312yes—
668C4×C22⋊D53C2314yes—
669C4×C22⋊D53C2312yes—
670C4×C22⋊D53C2312yes—
671C4×C22⋊D53C2312yes—
672#13133177C2314yes—
673#13133177C2314yes—
674#13133177C2314yes—
675#13133177C2314yes—
676#13133177C2314yes—
677#13133177C2314yes—
678#13133177C2314yes—
679#13133177C2314yes—
680#13133177C2314yes—
681#13133177C2312yes—
682#13133177C2312yes—
683#13133177C2312yes—
684#13133176C2312yes—
685#13133176C2314yes—
686#13133176C2311yescharacteristic
687#13133176C2312yes—
688#13133176C2312yes—
689#13133175C2312yes—
690#13133175C2314yes—
691#13133175C2312yes—
692#13133175C2312yes—
693#13133174C2312yes—
694#13133174C2312yes—
695#13133174C2312yes—
696#13133174C2314yes—
697#13133174C2314yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133174C2312yes—
701#13133174C2312yes—
702#13133173C2312yes—
703#13133173C2312yes—
704#13133173C2314yes—
705#13133173C2314yes—
706#13133173C2314yes—
707C2×C4⋊Dic53C2312yes—
708C2×#11719919C2314yes—
709C4⋊C4×D53C2312yes—
710C4⋊C4×D53C2312yes—
711C4⋊C4×D53C2314yes—
712C4⋊C4×D53C2314yes—
713C4⋊C4×D53C2314yes—
714C4⋊C4×D53C2312yes—
715C4⋊C4×D53C2312yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2311yescharacteristic
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2311yescharacteristic
720C4⋊C4×D53C2312yes—
721C2×C22⋊Dic53C2314yes—
722C2×#11719921C2314yes—
723C22⋊C4×D53C2312yes—
724C22⋊C4×D53C2312yes—
725C22⋊C4×D53C2314yes—
726C22⋊C4×D53C2312yes—
727C22⋊C4×D53C2312yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2314yes—
732C22⋊C4×D53C2314yes—
733C22⋊C4×D53C2314yes—
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—
747C42×D53C2312yes—
748C2×#41×C53C2312yes—
749C2×#41×C53C2311yescharacteristic
750C22×Q8×C53C2312yes—
751C22×D4×C53C2312yes—
752C22×D4×C53C2312yes—
753C4⋊Q8×C53C2311yescharacteristic
754C4⋊Q8×C53C2312yes—
755#127×C53C2311yescharacteristic
756#126×C53C2314yes—
757#126×C53C2312yes—
758#126×C53C2314yes—
759#125×C53C2311yescharacteristic
760#124×C53C2314yes—
761#124×C53C2314yes—
762#124×C53C2312yes—
763#124×C53C2314yes—
764#124×C53C2312yes—
765#124×C53C2312yes—
766#124×C53C2311yescharacteristic
767#124×C53C2312yes—
768#123×C53C2314yes—
769#123×C53C2312yes—
770#123×C53C2314yes—
771#123×C53C2314yes—
772C22⋊Q8×C53C2311yescharacteristic
773C22⋊Q8×C53C2314yes—
774C22⋊Q8×C53C2312yes—
775C22⋊Q8×C53C2312yes—
776C22⋊Q8×C53C2314yes—
777#121×C53C2312yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2314yes—
781#121×C53C2311yescharacteristic
782#121×C53C2312yes—
783#121×C53C2314yes—
784#120×C53C2314yes—
785#120×C53C2314yes—
786C4×Q8×C53C2312yes—
787C4×Q8×C53C2311yescharacteristic
788C4×Q8×C53C2311yescharacteristic
789C4×Q8×C53C2311yescharacteristic
790C4×D4×C53C2314yes—
791C4×D4×C53C2311yescharacteristic
792C4×D4×C53C2311yescharacteristic
793C4×D4×C53C2312yes—
794C4×D4×C53C2314yes—
795C4×D4×C53C2312yes—
796C4×D4×C53C2312yes—
797C4×D4×C53C2311yescharacteristic
798C4×D4×C53C2312yes—
799C4×D4×C53C2312yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2312yes—
802C4×D4×C53C2312yes—
803#117×C53C2312yes—
804#117×C53C2311yescharacteristic
805#117×C53C2312yes—
806#117×C53C2312yes—
807#117×C53C2314yes—
808C2×C22⋊C4×C53C2314yes—
809C2×C22⋊C4×C53C2314yes—
810C2×C22⋊C4×C53C2314yes—
811C2×C42×C53C2312yes—
812C2×C42×C53C2311yescharacteristic
813C24×C53C2414yes—
814C23×D53C2411yescharacteristic
815C23×D53C2414yes—
816C23×D53C2412yes—
817C23×D53C2414yes—
818#41×C53—42no—
819#41×C53—44no—
820C2×Q8×C53—44no—
821C2×Q8×C53C2411yescharacteristic
822C2×Q8×C53C2411yescharacteristic
823C2×Q8×C53C2412yes—
824C2×Q8×C53C2414yes—
825C2×D4×C53—44no—
826C2×D4×C53—44no—
827C2×D4×C53C2411yescharacteristic
828C2×D4×C53C2412yes—
829C2×D4×C53C2411yescharacteristic
830C2×D4×C53C2412yes—
831C2×D4×C53C2412yes—
832C2×D4×C53C2414yes—
833C2×D4×C53C2412yes—
834C2×D4×C53C2412yes—
835C2×D4×C53C2414yes—
836C2×D4×C53C2414yes—
837C22×C4×C53C2411yescharacteristic
838C22×C4×C53C2412yes—
839C22×C4×C53C2411yescharacteristic
840C22×C4×C53C2412yes—
841C22×C4×C53C2412yes—
842C22×C4×C53C2412yes—
843C22×C4×C53C2411yescharacteristic
844C22×C4×C53C2414yes—
845C22×C4×C53C2414yes—
846C22×C4×C53C2414yes—
847C2×C22⋊D53—48no—
848C2×C22⋊D53—48no—
849C2×C22⋊D53—48no—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2414yes—
852C2×C22⋊D53C2412yes—
853C2×C22⋊D53C2412yes—
854C2×C22⋊D53C2412yes—
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2412yes—
859C2×C22⋊D53C2414yes—
860C2×C22⋊D53C2414yes—
861C2×C22⋊D53C2414yes—
862C2×C22⋊D53C2412yes—
863C2×C22⋊D53C2412yes—
864C2×C22⋊D53C2414yes—
865C2×C22⋊D53C2414yes—
866C2×C22⋊D53C2414yes—
867C2×C22⋊D53C2414yes—
868C2×C22⋊D53C2414yes—
869C2×C22⋊D53C2414yes—
870C2×C22⋊D53C2414yes—
871C22×Dic53C2411yescharacteristic
872C22×Dic53C2414yes—
873C22×Dic53C2411yescharacteristic
874C22×Dic53C2411yescharacteristic
875C22×Dic53C2414yes—
876C22×Dic53C2412yes—
877C22×Dic53C2414yes—
878#11719949—28no—
879#11719949—48no—
880#11719949—44no—
881#11719949—44no—
882Q8×D53—24no—
883Q8×D53—48no—
884Q8×D53—44no—
885Q8×D53—44no—
886#11719947—28no—
887#11719947—44no—
888#11719947—48no—
889#11719947—48no—
890D4×D53—24no—
891D4×D53—44no—
892D4×D53—44no—
893D4×D53—44no—
894D4×D53—44no—
895D4×D53—44no—
896D4×D53—44no—
897D4×D53—48no—
898D4×D53—48no—
899#11719945—28no—
900#11719945—48no—
901#11719945—44no—
902#11719945—42no—
903#11719945—44no—
904#11719945—44no—
905#11719945—44no—
906#11719945—48no—
907#11719945—44no—
908#11719945—48no—
909C2×D212—48no—
910C2×D212C2412yes—
911C2×D212C2411yescharacteristic
912C2×D212C2412yes—
913C2×D212C2414yes—
914C2×D212C2411yescharacteristic
915C2×D212C2412yes—
916C2×D212C2412yes—
917C2×D212C2412yes—
918C2×D212C2414yes—
919C2×D212C2414yes—
920C2×D212C2412yes—
921C2×D212C2414yes—
922C2×D212C2414yes—
923C2×C4×D53—24no—
924C2×C4×D53—48no—
925C2×C4×D53—42no—
926C2×C4×D53—44no—
927C2×C4×D53—42no—
928C2×C4×D53C2411yescharacteristic
929C2×C4×D53C2411yescharacteristic
930C2×C4×D53C2411yescharacteristic
931C2×C4×D53C2411yescharacteristic
932C2×C4×D53C2411yescharacteristic
933C2×C4×D53C2411yescharacteristic
934C2×C4×D53C2411yescharacteristic
935C2×C4×D53C2412yes—
936C2×C4×D53C2412yes—
937C2×C4×D53C2412yes—
938C2×C4×D53C2414yes—
939C2×C4×D53C2411yescharacteristic
940C2×C4×D53C2411yescharacteristic
941C2×C4×D53C2411yescharacteristic
942C2×C4×D53C2411yescharacteristic
943C2×C4×D53C2412yes—
944C2×C4×D53C2412yes—
945C2×C4×D53C2412yes—
946C2×C4×D53C2412yes—
947C2×C4×D53C2414yes—
948C2×C4×D53C2412yes—
949C2×C4×D53C2414yes—
950C2×C4×D53C2414yes—
951C2×C4×D53C2414yes—
952C2×C4×D53C2414yes—
953C2×C4×D53C2414yes—
954C2×C4×D53C2414yes—
955C2×C4×D53C2414yes—
956C2×C4×D53C2411yescharacteristic
957C2×Dic106C2412yes—
958C2×Dic106C2411yescharacteristic
959C2×Dic106C2412yes—
960C2×Dic106C2411yescharacteristic
961C2×Dic106C2412yes—
962C2×Dic106C2412yes—
963C2×Dic106C2414yes—
964C2×Dic106C2414yes—
965C4⋊C4×C53C2411yescharacteristic
966C4⋊C4×C53C2412yes—
967C4⋊C4×C53C2412yes—
968C4⋊C4×C53C2412yes—
969C4⋊C4×C53C2412yes—
970C4⋊C4×C53C2411yescharacteristic
971C4⋊C4×C53C2412yes—
972C4⋊C4×C53C2412yes—
973C4⋊C4×C53C2414yes—
974C4⋊C4×C53C2411yescharacteristic
975C4⋊C4×C53C2411yescharacteristic
976C4⋊C4×C53C2412yes—
977C4⋊C4×C53C2414yes—
978C4⋊C4×C53C2412yes—
979C22⋊C4×C53C2412yes—
980C22⋊C4×C53C2412yes—
981C22⋊C4×C53C2414yes—
982C22⋊C4×C53C2412yes—
983C22⋊C4×C53C2412yes—
984C22⋊C4×C53C2414yes—
985C22⋊C4×C53C2414yes—
986C22⋊C4×C53C2414yes—
987C22⋊C4×C53C2414yes—
988C22⋊C4×C53C2414yes—
989C22⋊C4×C53C2414yes—
990C22⋊C4×C53C2412yes—
991C22⋊C4×C53C2412yes—
992C22⋊C4×C53C2414yes—
993C22⋊C4×C53C2412yes—
994C22⋊C4×C53C2414yes—
995C22⋊C4×C53C2412yes—
996C42×C53C2411yescharacteristic
997C42×C53C2412yes—
998C42×C53C2411yescharacteristic
999C42×C53C2411yescharacteristic
1000C42×C53C2412yes—
1001C42×C53C2411yescharacteristic
1002C42×C53C2412yes—
1003C42×C53C2414yes—
1004C42×C53C2412yes—
1005C22⋊Dic53C2414yes—
1006C22⋊Dic53C2414yes—
1007C22⋊Dic53C2414yes—
1008C22⋊Dic53C2412yes—
1009C22⋊Dic53C2412yes—
1010C22⋊Dic53C2414yes—
1011C22⋊Dic53C2414yes—
1012C22⋊Dic53C2412yes—
1013C22⋊Dic53C2412yes—
1014C22⋊Dic53C2412yes—
1015C22⋊Dic53C2412yes—
1016C22⋊Dic53C2414yes—
1017C22⋊Dic53C2414yes—
1018C22⋊Dic53C2412yes—
1019C22⋊Dic53C2412yes—
1020C22⋊Dic53C2412yes—
1021C22⋊Dic53C2412yes—
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2412yes—
1025#11719921C2412yes—
1026#11719921C2412yes—
1027#11719921C2412yes—
1028#11719921C2412yes—
1029#11719921C2412yes—
1030#11719921C2414yes—
1031#11719921C2414yes—
1032#11719921C2412yes—
1033#11719921C2412yes—
1034#11719921C2414yes—
1035#11719921C2414yes—
1036#11719921C2412yes—
1037#11719921C2412yes—
1038#11719921C2412yes—
1039#11719921C2414yes—
1040#11719921C2414yes—
1041#11719921C2414yes—
1042#11719921C2412yes—
1043#11719921C2414yes—
1044#11719921C2412yes—
1045#11719921C2412yes—
1046#11719921C2412yes—
1047#11719921C2412yes—
1048#11719921C2412yes—
1049#11719921C2412yes—
1050#11719921C2414yes—
1051#11719921C2414yes—
1052#11719921C2414yes—
1053#11719921C2414yes—
1054C4⋊Dic53C2412yes—
1055C4⋊Dic53C2414yes—
1056C4⋊Dic53C2412yes—
1057C4⋊Dic53C2412yes—
1058C4⋊Dic53C2411yescharacteristic
1059C4⋊Dic53C2411yescharacteristic
1060C4⋊Dic53C2412yes—
1061C4⋊Dic53C2412yes—
1062C4⋊Dic53C2414yes—
1063C4⋊Dic53C2414yes—
1064C4⋊Dic53C2412yes—
1065C4⋊Dic53C2411yescharacteristic
1066C4⋊Dic53C2411yescharacteristic
1067C4⋊Dic53C2412yes—
1068C4⋊Dic53C2414yes—
1069C4⋊Dic53C2412yes—
1070C4⋊Dic53C2412yes—
1071C4⋊Dic53C2412yes—
1072#11719919C2412yes—
1073#11719919C2412yes—
1074#11719919C2412yes—
1075#11719919C2412yes—
1076#11719919C2414yes—
1077#11719919C2412yes—
1078#11719919C2412yes—
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2412yes—
1082#11719919C2412yes—
1083#11719919C2414yes—
1084#11719919C2414yes—
1085#11719919C2414yes—
1086#11719919C2412yes—
1087#11719919C2412yes—
1088#11719919C2412yes—
1089#11719919C2414yes—
1090#11719919C2414yes—
1091#11719919C2412yes—
1092#11719919C2414yes—
1093#11719919C2414yes—
1094#11719919C2412yes—
1095#11719919C2412yes—
1096#11719919C2412yes—
1097#11719919C2412yes—
1098#11719919C2412yes—
1099#11719919C2412yes—
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×Dic53C2412yes—
1116C4×Dic53C2412yes—
1117C4×Dic53C2412yes—
1118C4×Dic53C2414yes—
1119C4×Dic53C2414yes—
1120C4×Dic53C2414yes—
1121C23×C53—44no—
1122C23×C53—44no—
1123C23×C53—44no—
1124C23×C53C2511yescharacteristic
1125C23×C53C2512yes—
1126C23×C53C2514yes—
1127C23×C53C2512yes—
1128C22×D53—22no—
1129C22×D53—22no—
1130C22×D53—24no—
1131C22×D53—28no—
1132C22×D53—41no—
1133C22×D53—44no—
1134C22×D53—42no—
1135C22×D53—44no—
1136C22×D53—42no—
1137C22×D53—44no—
1138C22×D53—44no—
1139C22×D53—44no—
1140C22×D53C2514yes—
1141C22×D53C2512yes—
1142C22×D53C2512yes—
1143C22×D53C2511yescharacteristic
1144C22×D53C2511yescharacteristic
1145Q8×C53—22no—
1146Q8×C53—24no—
1147Q8×C53—22no—
1148Q8×C53—44no—
1149D4×C53—22no—
1150D4×C53—24no—
1151D4×C53—24no—
1152D4×C53—22no—
1153D4×C53—44no—
1154D4×C53—44no—
1155D4×C53—42no—
1156D4×C53—42no—
1157D4×C53—44no—
1158D4×C53—42no—
1159C2×C4×C53—22no—
1160C2×C4×C53—24no—
1161C2×C4×C53—24no—
1162C2×C4×C53—22no—
1163C2×C4×C53—44no—
1164C2×C4×C53—41no—
1165C2×C4×C53—44no—
1166C2×C4×C53—44no—
1167C2×C4×C53—42no—
1168C2×C4×C53—42no—
1169C2×C4×C53C2514yes—
1170C2×C4×C53C2512yes—
1171C2×C4×C53C2512yes—
1172C2×C4×C53C2512yes—
1173C2×C4×C53C2511yescharacteristic
1174C2×C4×C53C2511yescharacteristic
1175C2×C4×C53C2511yescharacteristic
1176C2×C4×C53C2512yes—
1177C2×C4×C53C2511yescharacteristic
1178C2×C4×C53C2512yes—
1179C2×C4×C53C2512yes—
1180C2×C4×C53C2511yescharacteristic
1181C2×C4×C53C2511yescharacteristic
1182C22⋊D53—24no—
1183C22⋊D53—28no—
1184C22⋊D53—24no—
1185C22⋊D53—24no—
1186C22⋊D53—24no—
1187C22⋊D53—24no—
1188C22⋊D53—44no—
1189C22⋊D53—44no—
1190C22⋊D53—44no—
1191C22⋊D53—44no—
1192C22⋊D53—44no—
1193C22⋊D53—42no—
1194C22⋊D53—42no—
1195C22⋊D53—44no—
1196C22⋊D53—44no—
1197C22⋊D53—44no—
1198C22⋊D53—44no—
1199C22⋊D53—44no—
1200C22⋊D53—42no—
1201C22⋊D53—44no—
1202C22⋊D53—44no—
1203C2×Dic53—22no—
1204C2×Dic53—28no—
1205C2×Dic53—41no—
1206C2×Dic53—42no—
1207C2×Dic53—41no—
1208C2×Dic53—44no—
1209C2×Dic53—44no—
1210C2×Dic53C2512yes—
1211C2×Dic53C2511yescharacteristic
1212C2×Dic53C2512yes—
1213C2×Dic53C2514yes—
1214C2×Dic53C2511yescharacteristic
1215C2×Dic53C2512yes—
1216C2×Dic53C2512yes—
1217C2×Dic53C2511yescharacteristic
1218C2×Dic53C2512yes—
1219C2×Dic53C2511yescharacteristic
1220C2×Dic53C2511yescharacteristic
1221C2×Dic53C2512yes—
1222C2×Dic53C2511yescharacteristic
1223D212—24no—
1224D212—28no—
1225D212—24no—
1226D212—24no—
1227D212—22no—
1228D212—24no—
1229D212—22no—
1230D212—24no—
1231D212—44no—
1232D212—44no—
1233D212—44no—
1234D212—42no—
1235D212—44no—
1236C4×D53—22no—
1237C4×D53—24no—
1238C4×D53—22no—
1239C4×D53—22no—
1240C4×D53—22no—
1241C4×D53—24no—
1242C4×D53—22no—
1243C4×D53—22no—
1244C4×D53—24no—
1245C4×D53—22no—
1246C4×D53—28no—
1247C4×D53—41no—
1248C4×D53—41no—
1249C4×D53—42no—
1250C4×D53—42no—
1251C4×D53—41no—
1252C4×D53—41no—
1253C4×D53—44no—
1254C4×D53—44no—
1255C4×D53—42no—
1256C4×D53—44no—
1257C4×D53—42no—
1258C4×D53—44no—
1259C4×D53—44no—
1260C4×D53—44no—
1261C4×D53—44no—
1262C4×D53—42no—
1263C4×D53—44no—
1264C4×D53H(5,𝔽2)14yes—
1265Dic106—24no—
1266Dic106—22no—
1267Dic106—22no—
1268Dic106—24no—
1269Dic106—24no—
1270Dic106—42no—
1271Dic106—44no—
1272Dic106—44no—
1273#62830—531nomaximal, Sylow
1274C22×C53—24no—
1275C22×C53—21no—
1276C22×C53—22no—
1277C22×C53—22no—
1278C22×C53—21no—
1279C22×C53—22no—
1280C22×C53—21no—
1281C22×C53—24no—
1282C22×C53—22no—
1283C22×C53—22no—
1284C22×C53—24no—
1285C22×C53—22no—
1286C22×C53—164no—
1287C22×C53C2611yescharacteristic
1288C2×D53—21no—
1289C2×D53—21no—
1290C2×D53—21no—
1291C2×D53—21no—
1292C2×D53—24no—
1293C2×D53—22no—
1294C2×D53—22no—
1295C2×D53—22no—
1296C2×D53—24no—
1297C2×D53—22no—
1298C2×D53—22no—
1299C2×D53—22no—
1300C2×D53—24no—
1301C2×D53—44no—
1302C2×D53—88no—
1303C2×D53—84no—
1304C2×D53—164no—
1305C2×D53C2×H(5,𝔽2)12yes—
1306C2×D53#58512yes—
1307C4×C53—22no—
1308C4×C53—22no—
1309C4×C53—24no—
1310C4×C53—21no—
1311C4×C53—22no—
1312C4×C53—21no—
1313C4×C53—21no—
1314C4×C53—21no—
1315C4×C53—22no—
1316C4×C53—22no—
1317C4×C53—22no—
1318C4×C53C2×H(5,𝔽2)12yes—
1319C4×C53#58512yes—
1320Dic53—22no—
1321Dic53—22no—
1322Dic53—24no—
1323Dic53—21no—
1324Dic53—22no—
1325Dic53—21no—
1326Dic53—22no—
1327Dic53—21no—
1328Dic53—22no—
1329Dic53—21no—
1330Dic53—21no—
1331Dic53—22no—
1332Dic53C2×H(5,𝔽2)12yes—
1333#3562—532no—
1334#3562—532no—
1335#3560—534no—
1336#3552—531no—
1337#3552—531no—
1338#3551—534no—
1339#3547—532no—
1340#3546—532no—
1341#3543—531no—
1342#3543—531no—
1343#3534—534no—
1344#3520—532no—
1345#3519—532no—
1346#3519—532no—
1347#3519—532no—
1348#3517—531no—
1349#3517—531no—
1350#3514—531no—
1351#3514—532no—
1352#3514—532no—
1353#3514D5311yescharacteristic, complemented
1354#3512—532no—
1355#3507—531no—
1356#3506—531no—
1357#3505—534no—
1358#3500—532no—
1359#3497—531no—
1360#3496—531no—
1361#3494—532no—
1362#3494—532no—
1363#3489—532no—
1364#3488—532no—
1365#3444—531no—
1366C2×#532—531no—
1367C2×#529—531no—
1368C2×C53—41no—
1369C2×C53—44no—
1370C2×C53—42no—
1371C2×C53—42no—
1372C2×C53C22×H(5,𝔽2)11yescharacteristic
1373C2×C53C2×#58511yescharacteristic
1374C2×C53C2×#58511yescharacteristic
1375D53—22no—
1376D53—22no—
1377D53—44no—
1378D53—42no—
1379D53—42no—
1380C2×2−1+4—532no—
1381C2×H(5,𝔽2)—532no—
1382C22×#41—532no—
1383#563—534no—
1384#563—534no—
1385#562—534no—
1386#562—534no—
1387#560—534no—
1388#560—534no—
1389#560—534no—
1390#560—534no—
1391#559—531no—
1392#559—532no—
1393#559—532no—
1394#559C2×D5311yescharacteristic, complemented
1395#557—531no—
1396#557—531no—
1397#556—531no—
1398#556—532no—
1399#556—532no—
1400#556—532no—
1401#556C2×D5311yescharacteristic, complemented
1402#555—534no—
1403#555—532no—
1404#555—534no—
1405#555—532no—
1406#555C2×D5312yescomplemented
1407#554—532no—
1408#554—532no—
1409#554—532no—
1410#553—534no—
1411#553—534no—
1412#553—534no—
1413#553—534no—
1414#553—534no—
1415#553—534no—
1416#553—532no—
1417#553—534no—
1418#553—534no—
1419#553—534no—
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#551—534no—
1429#551—534no—
1430#551—534no—
1431#551—534no—
1432#551—534no—
1433#551—534no—
1434#551—534no—
1435#551C2×D5314yescomplemented
1436#550—532no—
1437#550—532no—
1438#550—531no—
1439#550—531no—
1440#550—532no—
1441#550—531no—
1442#550—532no—
1443#550—531no—
1444#550—532no—
1445D4×Q8—532no—
1446D4×Q8—531no—
1447D4×Q8—532no—
1448D4×Q8—532no—
1449D4×Q8C2×D5311yescharacteristic, complemented
1450#548—532no—
1451#548—532no—
1452#548—532no—
1453#548—534no—
1454#548—534no—
1455#548—532no—
1456#548—534no—
1457#548—532no—
1458#548C2×D5312yescomplemented
1459#547—534no—
1460#547—532no—
1461#547—532no—
1462#547—532no—
1463#547—531no—
1464#547—534no—
1465#547—532no—
1466#547—531no—
1467#546—532no—
1468#546—532no—
1469#546—532no—
1470#546—534no—
1471#546—534no—
1472#546—534no—
1473#546—532no—
1474#546—534no—
1475#546—532no—
1476#546—534no—
1477#546—532no—
1478#546—532no—
1479#546—532no—
1480#546—534no—
1481#546—534no—
1482#546—534no—
1483#546—534no—
1484#546—534no—
1485#546—534no—
1486#546—534no—
1487#546—534no—
1488#546C2×D5312yescomplemented
1489#546C2×D5312yescomplemented
1490D42—532no—
1491D42—532no—
1492D42—532no—
1493D42—531no—
1494D42—534no—
1495D42—534no—
1496D42—532no—
1497D42—532no—
1498D42C2×D5311yescharacteristic, complemented
1499#544—532no—
1500#544—532no—
1501#542—534no—
1502#542—532no—
1503#542—532no—
1504#542—532no—
1505#542—534no—
1506#542C2×D5312yescomplemented
1507#541—532no—
1508#541—532no—
1509#540—534no—
1510#540—532no—
1511#540—532no—
1512#540—534no—
1513#540—534no—
1514#540—532no—
1515#540—532no—
1516#540—532no—
1517#540—534no—
1518#540—532no—
1519#539—534no—
1520#539—534no—
1521#539—534no—
1522#539—534no—
1523#539—534no—
1524#538—534no—
1525#538—534no—
1526#538—534no—
1527#538—534no—
1528#538—534no—
1529#538—534no—
1530#538—534no—
1531#538—534no—
1532#538—534no—
1533#538—534no—
1534#538C2×D5314yescomplemented
1535#537—532no—
1536#537—534no—
1537#537—534no—
1538#537—532no—
1539#537—534no—
1540#536—532no—
1541#536—532no—
1542#536—534no—
1543#536—532no—
1544#535—532no—
1545#535—532no—
1546#535—532no—
1547#535—532no—
1548#535—532no—
1549#535—534no—
1550#534—534no—
1551#534—534no—
1552#534—534no—
1553#533—531no—
1554#533—531no—
1555#533—531no—
1556#532—532no—
1557#532—531no—
1558#532—531no—
1559#532—532no—
1560#532—531no—
1561#532—532no—
1562#532—532no—
1563#532—532no—
1564#532—532no—
1565#532—532no—
1566#532—532no—
1567#532—531no—
1568#532—531no—
1569#532—532no—
1570#532—531no—
1571#532—532no—
1572#532C2×D5311yescharacteristic, complemented
1573C2×C4⋊Q8—531no—
1574C2×#127—531no—
1575#529—532no—
1576#529—531no—
1577#529—532no—
1578#529—531no—
1579#529—532no—
1580#529—532no—
1581#529—532no—
1582#529—531no—
1583#529—531no—
1584#529—531no—
1585#529—531no—
1586#529—531no—
1587#529—532no—
1588#529—531no—
1589#529—532no—
1590#529—532no—
1591#529—531no—
1592#529—531no—
1593#529—532no—
1594#529—532no—
1595#529—532no—
1596#529—532no—
1597#529—531no—
1598#529—532no—
1599#529C2×D5311yescharacteristic, complemented
1600#529C2×D5312yescomplemented
1601C2×#126—532no—
1602C2×#125—531no—
1603C2×#124—531no—
1604C2×#124—532no—
1605C2×#124—532no—
1606C2×#124C2×D5312yescomplemented
1607#525—531no—
1608#525—534no—
1609#525—532no—
1610#525—532no—
1611#525—532no—
1612#525—534no—
1613#525—531no—
1614#525—532no—
1615C2×#123—532no—
1616C2×C22⋊Q8—531no—
1617C2×C22⋊Q8—534no—
1618C2×#121—532no—
1619C2×#121—531no—
1620C2×#121—532no—
1621C2×#121—532no—
1622C2×#121—532no—
1623C2×#121—534no—
1624#520—532no—
1625#520—532no—
1626#520—532no—
1627#520—532no—
1628#518—532no—
1629#518—534no—
1630#518—534no—
1631#518C2×D5312yescomplemented
1632C4×#41—532no—
1633C4×#41—532no—
1634C4×#41—531no—
1635C4×#41C2×D5311yescharacteristic, complemented
1636C2×C4×Q8—531no—
1637C2×C4×D4—531no—
1638C2×C4×D4—532no—
1639C2×C4×D4—532no—
1640C2×C4×D4—532no—
1641C2×#117—532no—
1642C22×C42—531no—
1643C53#6283011yescharacteristic, complemented, Sylow
16442−1+4—2128no—
1645H(5,𝔽2)—2128no—
1646C2×#41—532no—
1647C2×#41—532no—
1648C2×#41—532no—
1649C2×#41—534no—
1650C2×#41—532no—
1651C2×#41—534no—
1652C2×#41—534no—
1653C2×#41—532no—
1654C2×#41—532no—
1655C2×#41—532no—
1656C2×#41—531no—
1657C2×#41—532no—
1658C2×#41—534no—
1659C2×#41—534no—
1660C2×#41—532no—
1661C2×#41—532no—
1662C2×#41—532no—
1663C2×#41—534no—
1664C2×#41—2128no—
1665C2×#41C22×D5311yescharacteristic
1666C2×#41C22×D5312yes—
1667C22×Q8—531no—
1668C22×Q8—534no—
1669C22×Q8—532no—
1670C22×Q8—532no—
1671C22×Q8C22×D5312yes—
1672C22×D4—534no—
1673C22×D4—534no—
1674C22×D4—534no—
1675C22×D4—531no—
1676C22×D4—532no—
1677C22×D4—532no—
1678C22×D4—532no—
1679C22×D4—532no—
1680C22×D4—534no—
1681C22×D4—534no—
1682C22×D4—532no—
1683C22×D4—532no—
1684C22×D4—534no—
1685C22×D4C22×D5312yes—
1686C22×D4C22×D5312yes—
1687C23×C4—531no—
1688C23×C4—532no—
1689C23×C4—531no—
1690C23×C4—534no—
1691C23×C4—531no—
1692C4⋊Q8—532no—
1693C4⋊Q8—531no—
1694C4⋊Q8—532no—
1695C4⋊Q8—534no—
1696C4⋊Q8—532no—
1697C4⋊Q8—532no—
1698C4⋊Q8—531no—
1699C4⋊Q8—531no—
1700C4⋊Q8—532no—
1701C4⋊Q8—531no—
1702C4⋊Q8—532no—
1703C4⋊Q8—534no—
1704C4⋊Q8C22×D5311yescharacteristic
1705C4⋊Q8C22×D5312yes—
1706#127—532no—
1707#127—532no—
1708#127—532no—
1709#127—531no—
1710#127—532no—
1711#127—532no—
1712#127—534no—
1713#127—534no—
1714#127—531no—
1715#127—532no—
1716#127—532no—
1717#127C22×D5311yescharacteristic
1718#126—532no—
1719#126—532no—
1720#126—532no—
1721#126—532no—
1722#126—532no—
1723#126—534no—
1724#126—534no—
1725#126—534no—
1726#126—532no—
1727#126—532no—
1728#126—532no—
1729#126—532no—
1730#126—532no—
1731#126—534no—
1732#126—534no—
1733#126—534no—
1734#126—534no—
1735#126—534no—
1736#126—534no—
1737#126—534no—
1738#126—532no—
1739#126—534no—
1740#126—534no—
1741#126C22×D5312yes—
1742#126C22×D5314yes—
1743#126C22×D5314yes—
1744#125—531no—
1745#125—531no—
1746#125—532no—
1747#125—532no—
1748#125—532no—
1749#125—531no—
1750#125—531no—
1751#125—532no—
1752#125—532no—
1753#125—534no—
1754#125—534no—
1755#125—534no—
1756#125—534no—
1757#125—534no—
1758#125—531no—
1759#125—532no—
1760#125—534no—
1761#125C22×D5311yescharacteristic
1762#124—531no—
1763#124—532no—
1764#124—532no—
1765#124—531no—
1766#124—534no—
1767#124—531no—
1768#124—532no—
1769#124—532no—
1770#124—531no—
1771#124—532no—
1772#124—534no—
1773#124—532no—
1774#124—532no—
1775#124—534no—
1776#124—534no—
1777#124—534no—
1778#124—534no—
1779#124—532no—
1780#124—532no—
1781#124—534no—
1782#124—534no—
1783#124—534no—
1784#124—534no—
1785#124—531no—
1786#124—532no—
1787#124—534no—
1788#124C22×D5312yes—
1789#124C22×D5311yescharacteristic
1790#124C22×D5312yes—
1791#124C22×D5312yes—
1792#124C22×D5314yes—
1793#124C22×D5314yes—
1794#124C22×D5312yes—
1795#124C22×D5314yes—
1796#123—532no—
1797#123—532no—
1798#123—534no—
1799#123—534no—
1800#123—532no—
1801#123—534no—
1802#123—534no—
1803#123—534no—
1804#123—534no—
1805#123—534no—
1806#123—532no—
1807#123—532no—
1808#123—532no—
1809#123—532no—
1810#123—534no—
1811#123—534no—
1812#123—534no—
1813#123—534no—
1814#123—532no—
1815#123—532no—
1816#123—532no—
1817#123—532no—
1818#123—532no—
1819#123—532no—
1820#123—534no—
1821#123—534no—
1822#123—534no—
1823#123—534no—
1824#123—534no—
1825#123—534no—
1826#123—534no—
1827#123—534no—
1828#123—534no—
1829#123—534no—
1830#123—534no—
1831#123—534no—
1832#123—534no—
1833#123—534no—
1834#123—534no—
1835#123—534no—
1836#123—534no—
1837#123—534no—
1838#123C22×D5312yes—
1839#123C22×D5314yes—
1840#123C22×D5314yes—
1841#123C22×D5314yes—
1842C22⋊Q8—531no—
1843C22⋊Q8—534no—
1844C22⋊Q8—531no—
1845C22⋊Q8—531no—
1846C22⋊Q8—532no—
1847C22⋊Q8—534no—
1848C22⋊Q8—534no—
1849C22⋊Q8—534no—
1850C22⋊Q8—531no—
1851C22⋊Q8—534no—
1852C22⋊Q8—532no—
1853C22⋊Q8—534no—
1854C22⋊Q8—534no—
1855C22⋊Q8—532no—
1856C22⋊Q8—532no—
1857C22⋊Q8—531no—
1858C22⋊Q8—534no—
1859C22⋊Q8—531no—
1860C22⋊Q8—532no—
1861C22⋊Q8—531no—
1862C22⋊Q8—534no—
1863C22⋊Q8—532no—
1864C22⋊Q8—532no—
1865C22⋊Q8—534no—
1866C22⋊Q8—534no—
1867C22⋊Q8—534no—
1868C22⋊Q8—534no—
1869C22⋊Q8—532no—
1870C22⋊Q8—534no—
1871C22⋊Q8—534no—
1872C22⋊Q8—532no—
1873C22⋊Q8—532no—
1874C22⋊Q8—534no—
1875C22⋊Q8—534no—
1876C22⋊Q8—534no—
1877C22⋊Q8—534no—
1878C22⋊Q8—534no—
1879C22⋊Q8C22×D5311yescharacteristic
1880C22⋊Q8C22×D5314yes—
1881C22⋊Q8C22×D5312yes—
1882C22⋊Q8C22×D5312yes—
1883C22⋊Q8C22×D5314yes—
1884#121—532no—
1885#121—531no—
1886#121—532no—
1887#121—531no—
1888#121—532no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—534no—
1894#121—532no—
1895#121—532no—
1896#121—532no—
1897#121—531no—
1898#121—532no—
1899#121—534no—
1900#121—532no—
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—531no—
1912#121—532no—
1913#121—532no—
1914#121—532no—
1915#121—532no—
1916#121—532no—
1917#121—534no—
1918#121—534no—
1919#121—534no—
1920#121—534no—
1921#121—534no—
1922#121—531no—
1923#121—532no—
1924#121—531no—
1925#121—532no—
1926#121—531no—
1927#121—532no—
1928#121—532no—
1929#121—534no—
1930#121—534no—
1931#121—534no—
1932#121—532no—
1933#121—532no—
1934#121—534no—
1935#121—534no—
1936#121—534no—
1937#121—534no—
1938#121—534no—
1939#121—534no—
1940#121—534no—
1941#121—534no—
1942#121—534no—
1943#121—532no—
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#121—534no—
1954#121—534no—
1955#121—534no—
1956#121—534no—
1957#121C22×D5311yescharacteristic
1958#121C22×D5312yes—
1959#121C22×D5312yes—
1960#121C22×D5312yes—
1961#121C22×D5312yes—
1962#121C22×D5314yes—
1963#121C22×D5314yes—
1964#120—534no—
1965#120—534no—
1966#120—534no—
1967#120—534no—
1968#120—532no—
1969#120—534no—
1970#120—534no—
1971#120—534no—
1972#120—534no—
1973#120—534no—
1974#120—532no—
1975#120—534no—
1976#120—534no—
1977#120—534no—
1978#120—534no—
1979#120—534no—
1980#120—534no—
1981#120—534no—
1982#120C22×D5314yes—
1983#120C22×D5314yes—
1984C4×Q8—531no—
1985C4×Q8—532no—
1986C4×Q8—532no—
1987C4×Q8—532no—
1988C4×Q8—531no—
1989C4×Q8—532no—
1990C4×Q8—532no—
1991C4×Q8—531no—
1992C4×Q8—531no—
1993C4×Q8—532no—
1994C4×Q8—532no—
1995C4×Q8—532no—
1996C4×Q8—531no—
1997C4×Q8—532no—
1998C4×Q8—532no—
1999C4×Q8—532no—
2000C4×Q8C22×D5311yescharacteristic
2001C4×Q8C22×D5311yescharacteristic
2002C4×Q8C22×D5311yescharacteristic
2003C4×Q8C22×D5312yes—
2004C4×D4—532no—
2005C4×D4—531no—
2006C4×D4—532no—
2007C4×D4—532no—
2008C4×D4—532no—
2009C4×D4—532no—
2010C4×D4—532no—
2011C4×D4—532no—
2012C4×D4—532no—
2013C4×D4—534no—
2014C4×D4—534no—
2015C4×D4—532no—
2016C4×D4—532no—
2017C4×D4—532no—
2018C4×D4—532no—
2019C4×D4—532no—
2020C4×D4—532no—
2021C4×D4—532no—
2022C4×D4—532no—
2023C4×D4—532no—
2024C4×D4—532no—
2025C4×D4—534no—
2026C4×D4—534no—
2027C4×D4—534no—
2028C4×D4—534no—
2029C4×D4—534no—
2030C4×D4—532no—
2031C4×D4—531no—
2032C4×D4—532no—
2033C4×D4—532no—
2034C4×D4—534no—
2035C4×D4—534no—
2036C4×D4—534no—
2037C4×D4—532no—
2038C4×D4—534no—
2039C4×D4—534no—
2040C4×D4—532no—
2041C4×D4—532no—
2042C4×D4—532no—
2043C4×D4—532no—
2044C4×D4—532no—
2045C4×D4—534no—
2046C4×D4—534no—
2047C4×D4—534no—
2048C4×D4—534no—
2049C4×D4—534no—
2050C4×D4—534no—
2051C4×D4—534no—
2052C4×D4—534no—
2053C4×D4—534no—
2054C4×D4—532no—
2055C4×D4—532no—
2056C4×D4—531no—
2057C4×D4—532no—
2058C4×D4—532no—
2059C4×D4—531no—
2060C4×D4—532no—
2061C4×D4—532no—
2062C4×D4—532no—
2063C4×D4—531no—
2064C4×D4—534no—
2065C4×D4—534no—
2066C4×D4—534no—
2067C4×D4—534no—
2068C4×D4—532no—
2069C4×D4—534no—
2070C4×D4—532no—
2071C4×D4C22×D5312yes—
2072C4×D4C22×D5311yescharacteristic
2073C4×D4C22×D5312yes—
2074C4×D4C22×D5312yes—
2075C4×D4C22×D5311yescharacteristic
2076C4×D4C22×D5312yes—
2077C4×D4C22×D5312yes—
2078C4×D4C22×D5311yescharacteristic
2079C4×D4C22×D5314yes—
2080C4×D4C22×D5312yes—
2081C4×D4C22×D5314yes—
2082C4×D4C22×D5312yes—
2083C4×D4C22×D5312yes—
2084#117—532no—
2085#117—531no—
2086#117—532no—
2087#117—532no—
2088#117—534no—
2089#117—532no—
2090#117—532no—
2091#117—532no—
2092#117—534no—
2093#117—532no—
2094#117—532no—
2095#117—534no—
2096#117—534no—
2097#117—534no—
2098#117—532no—
2099#117—532no—
2100#117—532no—
2101#117—532no—
2102#117—532no—
2103#117—532no—
2104#117—532no—
2105#117—534no—
2106#117—534no—
2107#117C22×D5312yes—
2108#117C22×D5311yescharacteristic
2109#117C22×D5312yes—
2110#117C22×D5314yes—
2111#117C22×D5312yes—
2112C2×C4⋊C4—534no—
2113C2×C4⋊C4—532no—
2114C2×C4⋊C4—532no—
2115C2×C4⋊C4—532no—
2116C2×C4⋊C4—531no—
2117C2×C4⋊C4—532no—
2118C2×C4⋊C4—532no—
2119C2×C4⋊C4—532no—
2120C2×C4⋊C4—531no—
2121C2×C4⋊C4—532no—
2122C2×C4⋊C4—532no—
2123C2×C4⋊C4—534no—
2124C2×C4⋊C4—534no—
2125C2×C4⋊C4—534no—
2126C2×C22⋊C4—534no—
2127C2×C22⋊C4—534no—
2128C2×C22⋊C4—532no—
2129C2×C22⋊C4—532no—
2130C2×C22⋊C4—534no—
2131C2×C22⋊C4—534no—
2132C2×C22⋊C4—532no—
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⋊C4C22×D5314yes—
2141C2×C22⋊C4C22×D5314yes—
2142C2×C22⋊C4C22×D5314yes—
2143C2×C42—531no—
2144C2×C42—531no—
2145C2×C42—531no—
2146C2×C42—531no—
2147C2×C42—532no—
2148C2×C42—531no—
2149C2×C42—531no—
2150C2×C42—531no—
2151C2×C42—532no—
2152C2×C42—531no—
2153C2×C42—531no—
2154C2×C42—531no—
2155C2×C42—531no—
2156C2×C42C22×D5312yes—
2157C2×C42C22×D5311yescharacteristic
2158C24—531no—
2159C24—534no—
2160C24—532no—
2161C24—534no—
2162C24C23×D5314yes—
2163#41—44no—
2164#41—42no—
2165#41—1068no—
2166#41—1068no—
2167#41—1068no—
2168#41—2124no—
2169#41—2122no—
2170#41—2124no—
2171#41—2124no—
2172#41—2124no—
2173#41—2124no—
2174#41—2128no—
2175#41—2128no—
2176#41—2128no—
2177#41—2128no—
2178#41—2124no—
2179#41—2128no—
2180#41—2128no—
2181#41—2124no—
2182#41—2124no—
2183C2×Q8—44no—
2184C2×Q8—531no—
2185C2×Q8—532no—
2186C2×Q8—532no—
2187C2×Q8—531no—
2188C2×Q8—532no—
2189C2×Q8—532no—
2190C2×Q8—534no—
2191C2×Q8—534no—
2192C2×Q8—1064no—
2193C2×Q8—2124no—
2194C2×Q8—2124no—
2195C2×Q8—2128no—
2196C2×Q8C23×D5311yescharacteristic
2197C2×Q8C23×D5312yes—
2198C2×Q8C23×D5311yescharacteristic
2199C2×Q8C23×D5314yes—
2200C2×D4—44no—
2201C2×D4—44no—
2202C2×D4—532no—
2203C2×D4—532no—
2204C2×D4—532no—
2205C2×D4—534no—
2206C2×D4—532no—
2207C2×D4—532no—
2208C2×D4—532no—
2209C2×D4—534no—
2210C2×D4—534no—
2211C2×D4—532no—
2212C2×D4—534no—
2213C2×D4—532no—
2214C2×D4—534no—
2215C2×D4—534no—
2216C2×D4—534no—
2217C2×D4—534no—
2218C2×D4—534no—
2219C2×D4—534no—
2220C2×D4—534no—
2221C2×D4—534no—
2222C2×D4—534no—
2223C2×D4—532no—
2224C2×D4—532no—
2225C2×D4—531no—
2226C2×D4—532no—
2227C2×D4—534no—
2228C2×D4—532no—
2229C2×D4—531no—
2230C2×D4—532no—
2231C2×D4—534no—
2232C2×D4—534no—
2233C2×D4—534no—
2234C2×D4—532no—
2235C2×D4—534no—
2236C2×D4—1064no—
2237C2×D4—2128no—
2238C2×D4—2124no—
2239C2×D4—2124no—
2240C2×D4—2124no—
2241C2×D4—2124no—
2242C2×D4—2124no—
2243C2×D4—2128no—
2244C2×D4—2124no—
2245C2×D4—2128no—
2246C2×D4—2128no—
2247C2×D4—2128no—
2248C2×D4—2128no—
2249C2×D4C23×D5312yes—
2250C2×D4C23×D5312yes—
2251C2×D4C23×D5311yescharacteristic
2252C2×D4C23×D5311yescharacteristic
2253C2×D4C23×D5312yes—
2254C2×D4C23×D5312yes—
2255C2×D4C23×D5314yes—
2256C2×D4C23×D5312yes—
2257C2×D4C23×D5314yes—
2258C2×D4C23×D5314yes—
2259C22×C4—531no—
2260C22×C4—531no—
2261C22×C4—534no—
2262C22×C4—531no—
2263C22×C4—531no—
2264C22×C4—532no—
2265C22×C4—534no—
2266C22×C4—534no—
2267C22×C4—531no—
2268C22×C4—531no—
2269C22×C4—531no—
2270C22×C4—531no—
2271C22×C4—531no—
2272C22×C4—531no—
2273C22×C4—531no—
2274C22×C4—532no—
2275C22×C4—532no—
2276C22×C4—532no—
2277C22×C4—534no—
2278C22×C4—531no—
2279C22×C4—531no—
2280C22×C4—531no—
2281C22×C4—531no—
2282C22×C4—532no—
2283C22×C4—532no—
2284C22×C4—532no—
2285C22×C4—532no—
2286C22×C4—534no—
2287C22×C4—532no—
2288C22×C4—534no—
2289C22×C4—534no—
2290C22×C4—534no—
2291C22×C4—534no—
2292C22×C4—534no—
2293C22×C4—534no—
2294C22×C4—534no—
2295C22×C4—1064no—
2296C22×C4—2124no—
2297C22×C4—2122no—
2298C22×C4—2128no—
2299C22×C4—2122no—
2300C22×C4C23×D5311yescharacteristic
2301C22×C4C23×D5311yescharacteristic
2302C22×C4C23×D5312yes—
2303C22×C4C23×D5312yes—
2304C22×C4C23×D5311yescharacteristic
2305C22×C4C23×D5312yes—
2306C22×C4C23×D5312yes—
2307C22×C4C23×D5314yes—
2308C22×C4C23×D5314yes—
2309C22×C4C23×D5314yes—
2310C4⋊C4—532no—
2311C4⋊C4—532no—
2312C4⋊C4—532no—
2313C4⋊C4—532no—
2314C4⋊C4—532no—
2315C4⋊C4—532no—
2316C4⋊C4—531no—
2317C4⋊C4—532no—
2318C4⋊C4—534no—
2319C4⋊C4—534no—
2320C4⋊C4—532no—
2321C4⋊C4—532no—
2322C4⋊C4—532no—
2323C4⋊C4—532no—
2324C4⋊C4—532no—
2325C4⋊C4—532no—
2326C4⋊C4—531no—
2327C4⋊C4—531no—
2328C4⋊C4—534no—
2329C4⋊C4—534no—
2330C4⋊C4—532no—
2331C4⋊C4—532no—
2332C4⋊C4—532no—
2333C4⋊C4—534no—
2334C4⋊C4—534no—
2335C4⋊C4—534no—
2336C4⋊C4—534no—
2337C4⋊C4—534no—
2338C4⋊C4—532no—
2339C4⋊C4—532no—
2340C4⋊C4—532no—
2341C4⋊C4—531no—
2342C4⋊C4—532no—
2343C4⋊C4—532no—
2344C4⋊C4—534no—
2345C4⋊C4—534no—
2346C4⋊C4—534no—
2347C4⋊C4—532no—
2348C4⋊C4—532no—
2349C4⋊C4—532no—
2350C4⋊C4—532no—
2351C4⋊C4—532no—
2352C4⋊C4—532no—
2353C4⋊C4—532no—
2354C4⋊C4—532no—
2355C4⋊C4—532no—
2356C4⋊C4C23×D5312yes—
2357C4⋊C4C23×D5311yescharacteristic
2358C4⋊C4C23×D5312yes—
2359C4⋊C4C23×D5312yes—
2360C4⋊C4C23×D5312yes—
2361C4⋊C4C23×D5312yes—
2362C4⋊C4C23×D5311yescharacteristic
2363C4⋊C4C23×D5312yes—
2364C4⋊C4C23×D5314yes—
2365C4⋊C4C23×D5311yescharacteristic
2366C4⋊C4C23×D5312yes—
2367C4⋊C4C23×D5311yescharacteristic
2368C4⋊C4C23×D5314yes—
2369C4⋊C4C23×D5312yes—
2370C22⋊C4—534no—
2371C22⋊C4—532no—
2372C22⋊C4—534no—
2373C22⋊C4—534no—
2374C22⋊C4—532no—
2375C22⋊C4—532no—
2376C22⋊C4—534no—
2377C22⋊C4—532no—
2378C22⋊C4—534no—
2379C22⋊C4—532no—
2380C22⋊C4—534no—
2381C22⋊C4—532no—
2382C22⋊C4—534no—
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—532no—
2393C22⋊C4—532no—
2394C22⋊C4—532no—
2395C22⋊C4—532no—
2396C22⋊C4—534no—
2397C22⋊C4—534no—
2398C22⋊C4—532no—
2399C22⋊C4—532no—
2400C22⋊C4—534no—
2401C22⋊C4—534no—
2402C22⋊C4—532no—
2403C22⋊C4—532no—
2404C22⋊C4—534no—
2405C22⋊C4—532no—
2406C22⋊C4—534no—
2407C22⋊C4—534no—
2408C22⋊C4—534no—
2409C22⋊C4—532no—
2410C22⋊C4—532no—
2411C22⋊C4—532no—
2412C22⋊C4—532no—
2413C22⋊C4—532no—
2414C22⋊C4—532no—
2415C22⋊C4—534no—
2416C22⋊C4—534no—
2417C22⋊C4—534no—
2418C22⋊C4—534no—
2419C22⋊C4C23×D5314yes—
2420C22⋊C4C23×D5314yes—
2421C22⋊C4C23×D5314yes—
2422C22⋊C4C23×D5312yes—
2423C22⋊C4C23×D5312yes—
2424C22⋊C4C23×D5312yes—
2425C22⋊C4C23×D5314yes—
2426C22⋊C4C23×D5312yes—
2427C22⋊C4C23×D5312yes—
2428C22⋊C4C23×D5312yes—
2429C22⋊C4C23×D5314yes—
2430C22⋊C4C23×D5314yes—
2431C22⋊C4C23×D5314yes—
2432C22⋊C4C23×D5314yes—
2433C22⋊C4C23×D5314yes—
2434C22⋊C4C23×D5312yes—
2435C22⋊C4C23×D5312yes—
2436C42—531no—
2437C42—531no—
2438C42—531no—
2439C42—531no—
2440C42—531no—
2441C42—531no—
2442C42—531no—
2443C42—531no—
2444C42—531no—
2445C42—531no—
2446C42—531no—
2447C42—531no—
2448C42—532no—
2449C42—532no—
2450C42—532no—
2451C42—532no—
2452C42—532no—
2453C42—532no—
2454C42—534no—
2455C42—534no—
2456C42—534no—
2457C42C23×D5311yescharacteristic
2458C42C23×D5311yescharacteristic
2459C42C23×D5311yescharacteristic
2460C42C23×D5311yescharacteristic
2461C42C23×D5312yes—
2462C42C23×D5312yes—
2463C42C23×D5312yes—
2464C42C23×D5312yes—
2465C42C23×D5314yes—
2466C23—44no—
2467C23—44no—
2468C23—44no—
2469C23—531no—
2470C23—531no—
2471C23—532no—
2472C23—532no—
2473C23—534no—
2474C23—1064no—
2475C23—1068no—
2476C23—1062no—
2477C23—1062no—
2478C23—2124no—
2479C23—2124no—
2480C23—2124no—
2481C23—2124no—
2482C23—2122no—
2483C23—2122no—
2484C23—2124no—
2485C23—2121no—
2486C23C24×D5314yes—
2487C23C24×D5312yes—
2488C23C24×D5312yes—
2489C23C24×D5311yescharacteristic
2490Q8—22no—
2491Q8—24no—
2492Q8—22no—
2493Q8—44no—
2494Q8—1064no—
2495Q8—1064no—
2496Q8—1062no—
2497Q8—1064no—
2498Q8—1062no—
2499Q8—2124no—
2500Q8—2124no—
2501Q8—2122no—
2502D4—22no—
2503D4—24no—
2504D4—22no—
2505D4—24no—
2506D4—44no—
2507D4—44no—
2508D4—42no—
2509D4—42no—
2510D4—44no—
2511D4—42no—
2512D4—1064no—
2513D4—1064no—
2514D4—1064no—
2515D4—1068no—
2516D4—1064no—
2517D4—1064no—
2518D4—1064no—
2519D4—1068no—
2520D4—1064no—
2521D4—1064no—
2522D4—1062no—
2523D4—1064no—
2524D4—1062no—
2525D4—1064no—
2526D4—2124no—
2527D4—2124no—
2528D4—2122no—
2529D4—2124no—
2530D4—2124no—
2531D4—2124no—
2532D4—2122no—
2533D4—2124no—
2534D4—2124no—
2535D4—2124no—
2536D4—2124no—
2537D4—2124no—
2538D4—2124no—
2539D4—2124no—
2540D4—2124no—
2541D4—2124no—
2542D4—2122no—
2543D4—2122no—
2544D4—2124no—
2545D4—2124no—
2546C2×C4—22no—
2547C2×C4—24no—
2548C2×C4—24no—
2549C2×C4—22no—
2550C2×C4—41no—
2551C2×C4—44no—
2552C2×C4—44no—
2553C2×C4—44no—
2554C2×C4—42no—
2555C2×C4—42no—
2556C2×C4—531no—
2557C2×C4—534no—
2558C2×C4—531no—
2559C2×C4—531no—
2560C2×C4—532no—
2561C2×C4—532no—
2562C2×C4—531no—
2563C2×C4—532no—
2564C2×C4—531no—
2565C2×C4—531no—
2566C2×C4—532no—
2567C2×C4—532no—
2568C2×C4—532no—
2569C2×C4—534no—
2570C2×C4—1062no—
2571C2×C4—1068no—
2572C2×C4—1062no—
2573C2×C4—1062no—
2574C2×C4—1062no—
2575C2×C4—1064no—
2576C2×C4—1062no—
2577C2×C4—1068no—
2578C2×C4—1062no—
2579C2×C4—1064no—
2580C2×C4—1062no—
2581C2×C4—1062no—
2582C2×C4—1064no—
2583C2×C4—2121no—
2584C2×C4—2121no—
2585C2×C4—2121no—
2586C2×C4—2121no—
2587C2×C4—2122no—
2588C2×C4—2122no—
2589C2×C4—2124no—
2590C2×C4—2124no—
2591C2×C4—2122no—
2592C2×C4—2124no—
2593C2×C4—2124no—
2594C2×C4—2124no—
2595C2×C4—2124no—
2596C2×C4—2122no—
2597C2×C4—2122no—
2598C2×C4—2124no—
2599C2×C4—2124no—
2600C2×C4—2121no—
2601C2×C4—2122no—
2602C2×C4—2121no—
2603C2×C4—2124no—
2604C2×C4—2124no—
2605C2×C4C24×D5311yescharacteristic
2606C2×C4C24×D5311yescharacteristic
2607C2×C4C24×D5312yes—
2608C2×C4C24×D5312yes—
2609C2×C4C24×D5311yescharacteristic
2610C2×C4C24×D5311yescharacteristic
2611C2×C4C24×D5314yes—
2612C2×C4C24×D5312yes—
2613C2×C4C24×D5312yes—
2614C2×C4C24×D5312yes—
2615C2×C4C24×D5312yes—
2616C2×C4C24×D5311yescharacteristic
2617C2×C4C24×D5311yescharacteristic
2618C22—22no—
2619C22—21no—
2620C22—24no—
2621C22—22no—
2622C22—21no—
2623C22—24no—
2624C22—22no—
2625C22—22no—
2626C22—21no—
2627C22—22no—
2628C22—22no—
2629C22—24no—
2630C22—164no—
2631C22—532no—
2632C22—532no—
2633C22—8484no—
2634C22—1061no—
2635C22—1061no—
2636C22—1061no—
2637C22—1061no—
2638C22—1064no—
2639C22—1062no—
2640C22—1062no—
2641C22—1062no—
2642C22—1062no—
2643C22—1064no—
2644C22—1062no—
2645C22—1064no—
2646C22—1062no—
2647C22—4244no—
2648C22—4248no—
2649C22—2124no—
2650C22C25×D5311yescharacteristic
2651C4—21no—
2652C4—22no—
2653C4—24no—
2654C4—22no—
2655C4—21no—
2656C4—22no—
2657C4—22no—
2658C4—21no—
2659C4—21no—
2660C4—22no—
2661C4—22no—
2662C4—532no—
2663C4—1061no—
2664C4—1064no—
2665C4—1062no—
2666C4—1062no—
2667C4—1061no—
2668C4—1061no—
2669C4—1062no—
2670C4—1062no—
2671C4—1061no—
2672C4—1062no—
2673C4—1061no—
2674C4—1062no—
2675C4H(5,𝔽2)×D5312yes—
2676C4#1681145912yes—
2677C2—42no—
2678C2—42no—
2679C2—44no—
2680C2—41no—
2681C2—1062no—
2682C2—1062no—
2683C2—2122no—
2684C2—2122no—
2685C2—2124no—
2686C2C2×H(5,𝔽2)×D5311yescharacteristic
2687C2#585×D5311yescharacteristic
2688C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3514C2
hypercenter#3514D53
hypocenterC53#62830
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #20289304C2semidirect
2. #20289297C2semidirect
3. #20289262C2semidirect
4. #20289157C2semidirect
5. #20289145C2semidirect
6. #20289132C2semidirect
7. #20289091C2semidirect
8. #20289082C2semidirect
9. #20289049C2semidirect
10. #20289046C2semidirect
11. #20288904C2semidirect
12. #20288762C2semidirect
13. #20288750C2semidirect
14. #20288744C2semidirect
15. #20288737C2semidirect
16. #20288721C2semidirect
17. #20288719C2semidirect
18. #20288678C2semidirect
19. #20288671C2semidirect
20. #20288670C2semidirect
21. #20288630C2semidirect
22. #20288572C2semidirect
23. #20288568C2semidirect
24. #20288546C2semidirect
25. #20288505C2semidirect
26. #20288485C2semidirect
27. #20288471C2semidirect
28. #20288448C2semidirect
29. #20288440C2semidirect
30. #20288394C2semidirect
31. #20288378C2semidirect
32. #20288008C2semidirect
33. #532×D53C2semidirect
34. #529×D53C2semidirect
35. C53×#3514C2semidirect
36. C2×#13133265C22semidirect
37. C2×#13133262C22semidirect
38. C2×#41×D53C22semidirect
39. #16811375C22semidirect
40. #16811374C22semidirect
41. #16811368C22semidirect
42. #16811367C22semidirect
43. #16811363C22semidirect
44. #16811362C22semidirect
45. #16811362C22semidirect
46. #16811361C22semidirect
47. #16811359C22semidirect
48. #16811358C22semidirect
49. #16811355C22semidirect
50. #16811352C22semidirect
51. #16811351C22semidirect
52. #16811347C22semidirect
53. #16811343C22semidirect
54. #16811342C22semidirect
55. #16811342C22semidirect
56. #16811338C22semidirect
57. #16811337C22semidirect
58. #16811336C22semidirect
59. #16811335C22semidirect
60. #16811334C22semidirect
61. #16811332C22semidirect
62. #16811331C22semidirect
63. #16811324C22semidirect
64. #16811324C22semidirect
65. #16811324C22semidirect
66. #16811323C22semidirect
67. #16811323C22semidirect
68. #16811323C22semidirect
69. #16811322C22semidirect
70. #16811319C22semidirect
71. #16811318C22semidirect
72. #16811318C22semidirect
73. #16811318C22semidirect
74. #16811317C22semidirect
75. #16811317C22semidirect
76. #16811317C22semidirect
77. #16811317C22semidirect
78. #16811310C22semidirect
79. #16811309C22semidirect
80. #16811306C22semidirect
81. #16811303C22semidirect
82. #16811302C22semidirect
83. #16811300C22semidirect
84. #16811299C22semidirect
85. #16811299C22semidirect
86. #16811298C22semidirect
87. #16811298C22semidirect
88. #16811295C22semidirect
89. #16811295C22semidirect
90. #16811294C22semidirect
91. #16811294C22semidirect
92. #16811294C22semidirect
93. #16811294C22semidirect
94. #16811294C22semidirect
95. #16811292C22semidirect
96. #16811291C22semidirect
97. Q8×D212C22semidirect
98. #16811288C22semidirect
99. #16811288C22semidirect
100. Q8×C22⋊D53C22semidirect
101. #16811284C22semidirect
102. #16811283C22semidirect
103. #16811283C22semidirect
104. #16811283C22semidirect
105. #16811281C22semidirect
106. #16811281C22semidirect
107. #16811281C22semidirect
108. #16811280C22semidirect
109. #16811278C22semidirect
110. #16811278C22semidirect
111. #16811278C22semidirect
112. #16811277C22semidirect
113. #16811275C22semidirect
114. #16811275C22semidirect
115. #16811275C22semidirect
116. #16811273C22semidirect
117. #16811270C22semidirect
118. #16811270C22semidirect
119. #16811270C22semidirect
120. #16811270C22semidirect
121. #16811270C22semidirect
122. #16811269C22semidirect
123. #16811267C22semidirect
124. #16811266C22semidirect
125. #16811266C22semidirect
126. #16811266C22semidirect
127. #16811266C22semidirect
128. #16811266C22semidirect
129. #16811265C22semidirect
130. #16811263C22semidirect
131. #16811263C22semidirect
132. #16811263C22semidirect
133. #16811263C22semidirect
134. #16811263C22semidirect
135. #16811263C22semidirect
136. #16811261C22semidirect
137. #16811260C22semidirect
138. D4×D212C22semidirect
139. D4×D212C22semidirect
140. #16811258C22semidirect
141. #16811257C22semidirect
142. D4×C22⋊D53C22semidirect
143. D4×C22⋊D53C22semidirect
144. D4×C22⋊D53C22semidirect
145. #16811255C22semidirect
146. #16811251C22semidirect
147. #16811250C22semidirect
148. #16811246C22semidirect
149. #16811244C22semidirect
150. #16811238C22semidirect
151. #16811238C22semidirect
152. #16811237C22semidirect
153. #16811233C22semidirect
154. #16811231C22semidirect
155. #16811228C22semidirect
156. #16811226C22semidirect
157. #16811226C22semidirect
158. #16811226C22semidirect
159. #16811225C22semidirect
160. #16811224C22semidirect
161. #16811224C22semidirect
162. #16811224C22semidirect
163. #16811224C22semidirect
164. #16811223C22semidirect
165. #16811219C22semidirect
166. #16811219C22semidirect
167. #16811216C22semidirect
168. #16811216C22semidirect
169. #16811214C22semidirect
170. #16811212C22semidirect
171. #16811211C22semidirect
172. #16811211C22semidirect
173. #16811209C22semidirect
174. #16811209C22semidirect
175. #16811208C22semidirect
176. #16811207C22semidirect
177. #16811207C22semidirect
178. #16811206C22semidirect
179. #16811205C22semidirect
180. #16811203C22semidirect
181. #16811203C22semidirect
182. #16811202C22semidirect
183. #16811202C22semidirect
184. #16811200C22semidirect
185. #16811197C22semidirect
186. #16811193C22semidirect
187. #16811193C22semidirect
188. #16811193C22semidirect
189. #16811191C22semidirect
190. #16811191C22semidirect
191. #16811191C22semidirect
192. #16811190C22semidirect
193. #16811190C22semidirect
194. #16811188C22semidirect
195. #16811184C22semidirect
196. #16811183C22semidirect
197. #16811183C22semidirect
198. #16811177C22semidirect
199. #16811177C22semidirect
200. #16811176C22semidirect
201. #16811174C22semidirect
202. #16811174C22semidirect
203. #16811173C22semidirect
204. #16811173C22semidirect
205. #16811172C22semidirect
206. #16811172C22semidirect
208. #16811170C22semidirect
209. #16811170C22semidirect
210. #16811170C22semidirect
211. #16811170C22semidirect
212. #16811170C22semidirect
213. #16811169C22semidirect
214. #16811169C22semidirect
215. #16811168C22semidirect
216. #16811168C22semidirect
217. C4⋊Q8×D53C22semidirect
218. #127×D53C22semidirect
219. #16811160C22semidirect
220. #16811160C22semidirect
221. #16811160C22semidirect
222. #16811159C22semidirect
223. #16811158C22semidirect
224. #16811158C22semidirect
225. #16811157C22semidirect
226. #16811157C22semidirect
227. #16811156C22semidirect
228. #16811155C22semidirect
229. #16811155C22semidirect
230. #16811155C22semidirect
231. #16811155C22semidirect
232. #16811154C22semidirect
233. #16811153C22semidirect
234. #16811153C22semidirect
235. #16811153C22semidirect
236. #16811152C22semidirect
237. #16811152C22semidirect
238. #16811152C22semidirect
239. #16811151C22semidirect
240. #16811151C22semidirect
241. #16811151C22semidirect
242. #16811150C22semidirect
243. #126×D53C22semidirect
244. #125×D53C22semidirect
245. #124×D53C22semidirect
246. #124×D53C22semidirect
247. #124×D53C22semidirect
248. #16811136C22semidirect
249. #16811135C22semidirect
250. #16811135C22semidirect
251. #16811132C22semidirect
252. #16811132C22semidirect
253. #16811132C22semidirect
254. #16811131C22semidirect
255. #16811130C22semidirect
256. #123×D53C22semidirect
257. C22⋊Q8×D53C22semidirect
258. C22⋊Q8×D53C22semidirect
259. C2×#13133190C22semidirect
260. C2×#13133188C22semidirect
262. #121×D53C22semidirect
263. #121×D53C22semidirect
264. #121×D53C22semidirect
265. #16811105C22semidirect
266. #16811105C22semidirect
267. #16811103C22semidirect
268. #16811102C22semidirect
269. #16811097C22semidirect
270. #16811096C22semidirect
271. #16811095C22semidirect
272. C4×#11719945C22semidirect
273. C4×#11719945C22semidirect
274. C4×#11719945C22semidirect
275. C4×Q8×D53C22semidirect
276. C4×D4×D53C22semidirect
277. C4×D4×D53C22semidirect
278. C4×D4×D53C22semidirect
279. C4×D4×D53C22semidirect
280. #117×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#559C22semidirect
283. C53×#556C22semidirect
284. C53×#555C22semidirect
285. C53×#551C22semidirect
286. D4×Q8×C53C22semidirect
287. C53×#548C22semidirect
288. C53×#546C22semidirect
289. C53×#546C22semidirect
290. D42×C53C22semidirect
291. C53×#542C22semidirect
292. C53×#538C22semidirect
293. C53×#532C22semidirect
294. C53×#529C22semidirect
295. C53×#529C22semidirect
296. C2×#124×C53C22semidirect
297. C53×#518C22semidirect
298. C4×#41×C53C22semidirect
1353. #3514D53semidirect
1394. #559C2×D53semidirect
1401. #556C2×D53semidirect
1406. #555C2×D53semidirect
1435. #551C2×D53semidirect
1449. D4×Q8C2×D53semidirect
1458. #548C2×D53semidirect
1488. #546C2×D53semidirect
1489. #546C2×D53semidirect
1498. D42C2×D53semidirect
1506. #542C2×D53semidirect
1534. #538C2×D53semidirect
1572. #532C2×D53semidirect
1599. #529C2×D53semidirect
1600. #529C2×D53semidirect
1606. C2×#124C2×D53semidirect
1631. #518C2×D53semidirect
1635. C4×#41C2×D53semidirect
1643. C53#62830semidirect

Maximal subgroups

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

subgroupindex
#202893042
#202892972
#202892622
#202891572
#202891452
#202891322
#202890912
#202890822
#202890492
#202890462
#202889042
#202887622
#202887502
#202887442
#202887372
#202887212
#202887192
#202886782
#202886712
#202886702
#202886302
#202885722
#202885682
#202885462
#202885052
#202884852
#202884712
#202884482
#202884402
#202883942
#202883782
#202880082
#532×D532
#529×D532
C53×#35142
#6283053