Finite Group Databasebeta

← #28292925

Subgroups — #28292925

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#20289308C212yesmaximal, complemented
2#20289289C212yesmaximal, complemented
3#20289254C214yesmaximal, complemented
4#20289161C211yesmaximal, characteristic, complemented
5#20289153C211yesmaximal, characteristic, complemented
6#20289136C214yesmaximal, complemented
7#20289099C212yesmaximal, complemented
8#20289074C212yesmaximal, complemented
9#20289039C211yesmaximal, characteristic, complemented
10#20289039C211yesmaximal, characteristic, complemented
11#20288898C214yesmaximal, complemented
12#20288754C212yesmaximal, complemented
13#20288746C212yesmaximal, complemented
14#20288745C212yesmaximal, complemented
15#20288740C212yesmaximal, complemented
16#20288713C211yesmaximal, characteristic, complemented
17#20288678C211yesmaximal, characteristic, complemented
18#20288676C211yesmaximal, characteristic, complemented
19#20288671C212yesmaximal, complemented
20#20288664C212yesmaximal, complemented
21#20288630C212yesmaximal, complemented
22#20288581C211yesmaximal, characteristic, complemented
23#20288559C211yesmaximal, characteristic, complemented
24#20288548C214yesmaximal, complemented
25#20288502C212yesmaximal, complemented
26#20288480C211yesmaximal, characteristic, complemented
27#20288473C211yesmaximal, characteristic, complemented
28#20288451C212yesmaximal, complemented
29#20288442C212yesmaximal, complemented
30#20288389C212yesmaximal, complemented
31#20288383C212yesmaximal, complemented
32#20288008C211yesmaximal, characteristic, complemented
33#532×D53C211yesmaximal, characteristic, complemented
34#529×D53C211yesmaximal, characteristic, complemented
35C53×#3517C211yesmaximal, characteristic, complemented
36C2×#13133264C2212yescomplemented
37C2×#13133263C2212yescomplemented
38C2×#41×D53C2212yescomplemented
39#16811377C2214yescomplemented
40#16811376C2214yescomplemented
41#16811370C2214yescomplemented
42#16811368C2214yescomplemented
43#16811361C2214yescomplemented
44#16811361C2214yescomplemented
45#16811361C2214yescomplemented
46#16811360C2214yescomplemented
47#16811359C2212yescomplemented
48#16811358C2211yescharacteristic, complemented
49#16811358C2211yescharacteristic, complemented
50#16811356C2212yescomplemented
51#16811348C2211yescharacteristic, complemented
52#16811347C2212yescomplemented
53#16811346C2211yescharacteristic, complemented
54#16811345C2212yescomplemented
55#16811345C2212yescomplemented
56#16811343C2211yescharacteristic, complemented
57#16811338C2212yescomplemented
58#16811337C2212yescomplemented
59#16811337C2214yescomplemented
60#16811336C2212yescomplemented
61#16811336C2214yescomplemented
62#16811333C2212yescomplemented
63#16811329C2212yescomplemented
64#16811328C2212yescomplemented
65#16811326C2212yescomplemented
66#16811324C2214yescomplemented
67#16811323C2214yescomplemented
68#16811322C2214yescomplemented
69#16811322C2214yescomplemented
70#16811321C2214yescomplemented
71#16811320C2212yescomplemented
72#16811320C2212yescomplemented
73#16811318C2214yescomplemented
74#16811318C2214yescomplemented
75#16811317C2214yescomplemented
76#16811316C2214yescomplemented
77#16811316C2214yescomplemented
78#16811309C2214yescomplemented
79#16811306C2214yescomplemented
80#16811305C2214yescomplemented
81#16811302C2214yescomplemented
82#16811302C2214yescomplemented
83#16811302C2214yescomplemented
84#16811301C2214yescomplemented
85#16811298C2214yescomplemented
86#16811297C2214yescomplemented
87#16811297C2214yescomplemented
88#16811296C2214yescomplemented
89#16811293C2211yescharacteristic, complemented
90#16811293C2211yescharacteristic, complemented
91#16811293C2212yescomplemented
92#16811292C2212yescomplemented
93#16811291C2212yescomplemented
94Q8×D212C2211yescharacteristic, complemented
95D4×Dic106C2212yescomplemented
96D4×Dic106C2211yescharacteristic, complemented
97#16811288C2212yescomplemented
98#16811286C2212yescomplemented
99#16811285C2212yescomplemented
100#16811283C2212yescomplemented
101#16811282C2212yescomplemented
102#16811282C2214yescomplemented
103#16811282C2214yescomplemented
104#16811280C2212yescomplemented
105#16811280C2212yescomplemented
106#16811279C2212yescomplemented
107#16811279C2214yescomplemented
108#16811276C2211yescharacteristic, complemented
109#16811274C2212yescomplemented
110#16811274C2214yescomplemented
111#16811272C2212yescomplemented
112#16811272C2212yescomplemented
113#16811271C2214yescomplemented
114#16811270C2212yescomplemented
115#16811270C2214yescomplemented
116#16811270C2214yescomplemented
117#16811269C2212yescomplemented
118#16811269C2212yescomplemented
119#16811269C2214yescomplemented
120#16811269C2214yescomplemented
121#16811269C2214yescomplemented
122#16811268C2212yescomplemented
123#16811268C2212yescomplemented
124#16811265C2214yescomplemented
125#16811265C2214yescomplemented
126#16811265C2214yescomplemented
127#16811264C2212yescomplemented
128#16811262C2214yescomplemented
129#16811262C2214yescomplemented
130#16811262C2214yescomplemented
131#16811262C2214yescomplemented
132#16811262C2214yescomplemented
133#16811261C2212yescomplemented
134#16811261C2212yescomplemented
135#16811261C2212yescomplemented
136#16811261C2212yescomplemented
137D4×D212C2211yescharacteristic, complemented
138D4×D212C2211yescharacteristic, complemented
139#16811258C2212yescomplemented
140#16811258C2212yescomplemented
141#16811258C2214yescomplemented
142#16811257C2212yescomplemented
143#16811257C2212yescomplemented
144#16811257C2212yescomplemented
145#16811257C2214yescomplemented
146#16811254C2212yescomplemented
147#16811253C2212yescomplemented
148#16811245C2212yescomplemented
149#16811245C2212yescomplemented
150#16811244C2212yescomplemented
151#16811240C2212yescomplemented
152#16811239C2214yescomplemented
153#16811238C2214yescomplemented
154#16811233C2212yescomplemented
155#16811231C2212yescomplemented
156#16811227C2214yescomplemented
157#16811226C2212yescomplemented
158#16811226C2212yescomplemented
159#16811225C2214yescomplemented
160#16811224C2212yescomplemented
161#16811224C2212yescomplemented
162#16811224C2212yescomplemented
163#16811223C2214yescomplemented
164#16811221C2214yescomplemented
165#16811221C2214yescomplemented
166#16811220C2214yescomplemented
167#16811216C2214yescomplemented
168#16811215C2214yescomplemented
169#16811212C2214yescomplemented
170#16811210C2214yescomplemented
171#16811209C2214yescomplemented
172#16811209C2214yescomplemented
173#16811206C2214yescomplemented
174#16811206C2214yescomplemented
175#16811205C2214yescomplemented
176#16811205C2214yescomplemented
177#16811205C2214yescomplemented
178#16811205C2214yescomplemented
179#16811205C2214yescomplemented
180#16811203C2212yescomplemented
181#16811202C2214yescomplemented
182#16811202C2212yescomplemented
183#16811202C2214yescomplemented
184#16811200C2214yescomplemented
185#16811198C2212yescomplemented
186#16811198C2212yescomplemented
187#16811195C2214yescomplemented
188#16811194C2212yescomplemented
189#16811187C2212yescomplemented
190#16811187C2212yescomplemented
191#16811186C2212yescomplemented
192#16811186C2212yescomplemented
193#16811186C2212yescomplemented
194#16811186C2214yescomplemented
195#16811184C2214yescomplemented
196#16811181C2214yescomplemented
197#16811181C2214yescomplemented
198#16811177C2211yescharacteristic, complemented
199#16811177C2211yescharacteristic, complemented
200#16811176C2211yescharacteristic, complemented
201#16811174C2211yescharacteristic
202#16811173C2211yescharacteristic, complemented
203#16811172C2212yescomplemented
204#16811172C2212yescomplemented
205#16811171C2211yescharacteristic, complemented
206#16811171C2212yescomplemented
207#16811170C2211yescharacteristic, complemented
208#16811170C2211yescharacteristic, complemented
209#16811170C2212yescomplemented
210#16811170C2212yescomplemented
211#16811170C2212yescomplemented
212#16811169C2211yescharacteristic, complemented
213#16811169C2212yescomplemented
214#16811168C2212yescomplemented
215#16811168C2212yescomplemented
216C4⋊Q8×D53C2211yescharacteristic, complemented
217#127×D53C2211yescharacteristic, complemented
218#16811160C2211yescharacteristic, complemented
219#16811160C2211yescharacteristic, complemented
220#16811160C2211yescharacteristic, complemented
221#16811160C2212yescomplemented
222#16811159C2211yescharacteristic, complemented
223#16811158C2212yescomplemented
224#16811158C2212yescomplemented
225#16811158C2211yescharacteristic, complemented
226#16811157C2212yescomplemented
227#16811157C2211yescharacteristic, complemented
228#16811156C2212yescomplemented
229#16811155C2211yescharacteristic, complemented
230#16811155C2211yescharacteristic, complemented
231#16811155C2211yescharacteristic, complemented
232#16811154C2211yescharacteristic, complemented
233#16811153C2212yescomplemented
234#16811153C2212yescomplemented
235#16811153C2212yescomplemented
236#16811152C2212yescomplemented
237#16811152C2211yescharacteristic, complemented
238#16811151C2212yescomplemented
239#16811151C2212yescomplemented
240#16811151C2212yescomplemented
241#16811150C2212yescomplemented
242#126×D53C2212yescomplemented
243#125×D53C2211yescharacteristic, complemented
244C2×#13133205C2212yescomplemented
245#124×D53C2212yescomplemented
246#124×D53C2212yescomplemented
247#124×D53C2211yescharacteristic, complemented
248#16811135C2211yescharacteristic, complemented
249#16811133C2212yescomplemented
250#16811132C2212yescomplemented
251#16811132C2212yescomplemented
252#16811132C2214yescomplemented
253#16811131C2214yescomplemented
254#16811130C2211yescharacteristic, complemented
255#16811130C2212yescomplemented
256#123×D53C2212yescomplemented
257C2×#13133195C2214yescomplemented
258C22⋊Q8×D53C2211yescharacteristic, complemented
259C2×#13133192C2212yescomplemented
260#121×D53C2211yescharacteristic
261#121×D53C2214yescomplemented
262#121×D53C2212yescomplemented
263#121×D53C2212yescomplemented
264#121×D53C2212yescomplemented
265#16811105C2212yescomplemented
266#16811102C2212yescomplemented
267#16811102C2212yescomplemented
268#16811097C2212yescomplemented
269#16811095C2214yescomplemented
270#16811095C2214yescomplemented
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×#557C2211yescharacteristic, complemented
283C53×#553C2214yescomplemented
284C53×#553C2212yescomplemented
285C53×#550C2212yescomplemented
286C53×#550C2211yescharacteristic, complemented
287C53×#550C2211yescharacteristic, complemented
288C53×#550C2212yescomplemented
289C53×#547C2212yescomplemented
290C53×#547C2211yescharacteristic, complemented
291C53×#540C2214yescomplemented
292C53×#540C2212yescomplemented
293C53×#532C2212yescomplemented
294C53×#532C2211yescharacteristic, complemented
295C53×#529C2212yescomplemented
296C53×#529C2211yescharacteristic, complemented
297C53×#520C2212yescomplemented
298C4×#41×C53C2211yescharacteristic, complemented
299#13133264—48no—
300#13133263—48no—
301C2×#11719949C2312yes—
302C2×#11719949C2312yes—
303C2×#11719945C2312yes—
304C2×#11719945C2312yes—
305C2×#11719945C2314yes—
306C2×#11719945C2314yes—
307C2×#11719945C2311yescharacteristic
308C2×#11719945C2314yes—
309C2×#11719945C2312yes—
310C2×#11719947C2312yes—
311C2×#11719947C2312yes—
312C2×#11719947C2312yes—
313C2×#11719947C2314yes—
314C2×#11719947C2314yes—
315C2×#11719947C2314yes—
316#41×D53—48no—
317C22×Dic106C2314yes—
318C22×Dic106C2312yes—
319C2×Q8×D53C2311yescharacteristic
320C2×Q8×D53C2312yes—
321C2×Q8×D53C2312yes—
322C22×D212C2312yes—
323C22×D212C2314yes—
324C22×D212C2312yes—
325C2×D4×D53C2311yescharacteristic
326C2×D4×D53C2314yes—
327C2×D4×D53C2314yes—
328C2×D4×D53C2314yes—
329C2×D4×D53C2312yes—
330C2×D4×D53C2312yes—
331C2×D4×D53C2314yes—
332C2×D4×D53C2314yes—
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#13133217C2312yes—
343#13133217C2311yescharacteristic
344#13133216C2314yes—
345#13133216C2311yescharacteristic
346#13133216C2314yes—
347#13133216C2312yes—
348#13133216C2311yescharacteristic
349#13133216C2312yes—
350#13133216C2312yes—
351#13133215C2311yescharacteristic
352#13133215C2312yes—
353#13133215C2312yes—
354#13133214C2311yescharacteristic
355#13133213C2314yes—
356#13133213C2312yes—
357#13133213C2312yes—
358#13133213C2311yescharacteristic
359#13133213C2312yes—
360#13133213C2312yes—
361#13133213C2312yes—
362#13133212C2314yes—
363#13133212C2314yes—
364#13133212C2314yes—
365#13133212C2312yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133212C2314yes—
369#13133212C2312yes—
370#13133212C2312yes—
371#13133212C2312yes—
372#13133212C2312yes—
373#13133211C2312yes—
374#13133211C2314yes—
375#13133211C2314yes—
376#13133211C2314yes—
377#13133210C2314yes—
378#13133210C2312yes—
379#13133210C2314yes—
380#13133210C2314yes—
381#13133210C2314yes—
382#13133210C2312yes—
383#13133210C2312yes—
384#13133210C2312yes—
385#13133210C2312yes—
386#13133209C2314yes—
387#13133209C2311yescharacteristic
388#13133208C2314yes—
389#13133208C2312yes—
390#13133208C2311yescharacteristic
391#13133208C2311yescharacteristic
392#13133208C2311yescharacteristic
393#13133208C2311yescharacteristic
394#13133207C2312yes—
395#13133207C2314yes—
396#13133207C2312yes—
397#13133207C2314yes—
398#13133207C2312yes—
399#13133207C2314yes—
400#13133207C2312yes—
401#13133206C2312yes—
402#13133206C2312yes—
403#13133206C2312yes—
404#13133206C2311yescharacteristic
405#13133206C2311yescharacteristic
406#13133205C2312yes—
407#13133205C2312yes—
408#13133205C2314yes—
409#13133205C2314yes—
410#13133205C2314yes—
411#13133205C2312yes—
412#13133205C2312yes—
413#13133205C2311yescharacteristic
414#13133204C2314yes—
415#13133204C2312yes—
416#13133204C2314yes—
417#13133204C2314yes—
418#13133204C2312yes—
419#13133204C2311yescharacteristic
420#13133204C2311yescharacteristic
421#13133203C2312yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2312yes—
426#13133203C2312yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2314yes—
430#13133203C2314yes—
431#13133203C2314yes—
432#13133203C2312yes—
433#13133202C2314yes—
434#13133202C2312yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2312yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2314yes—
444#13133202C2314yes—
445#13133202C2312yes—
446#13133202C2312yes—
447#13133201C2314yes—
448#13133201C2314yes—
449#13133201C2312yes—
450#13133201C2312yes—
451#13133200C2314yes—
452#13133200C2314yes—
453#13133200C2314yes—
454#13133200C2314yes—
455#13133200C2314yes—
456#13133200C2314yes—
457#13133200C2312yes—
458#13133199C2312yes—
459#13133199C2314yes—
460#13133199C2312yes—
461#13133199C2314yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133199C2312yes—
466#13133199C2312yes—
467#13133198C2314yes—
468#13133198C2314yes—
469#13133198C2314yes—
470#13133198C2314yes—
471#13133198C2314yes—
472#13133198C2312yes—
473#13133198C2312yes—
474#13133197C2311yescharacteristic
475#13133197C2311yescharacteristic
476#13133197C2312yes—
477#13133197C2314yes—
478#13133197C2314yes—
479#13133197C2314yes—
480#13133197C2311yescharacteristic
481#13133196C2312yes—
482#13133196C2312yes—
483#13133196C2314yes—
484#13133196C2314yes—
485#13133196C2314yes—
486#13133196C2311yescharacteristic
487#13133196C2314yes—
488#13133195C2314yes—
489#13133195C2314yes—
490#13133195C2314yes—
491#13133195C2314yes—
492#13133195C2314yes—
493#13133195C2314yes—
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2314yes—
497#13133195C2314yes—
498#13133195C2314yes—
499#13133195C2312yes—
500#13133195C2312yes—
501#13133195C2312yes—
502#13133194C2314yes—
503#13133194C2314yes—
504#13133194C2314yes—
505#13133194C2314yes—
506#13133194C2312yes—
507#13133194C2312yes—
508#13133194C2312yes—
509#13133193C2312yes—
510#13133193C2312yes—
511#13133193C2311yescharacteristic
512#13133193C2311yescharacteristic
513#13133193C2311yescharacteristic
514#13133192C2314yes—
515#13133192C2312yes—
516#13133192C2314yes—
517#13133192C2314yes—
518#13133192C2312yes—
519#13133192C2312yes—
520#13133192C2311yescharacteristic
521#13133192C2311yescharacteristic
522#13133192C2312yes—
523#13133192C2312yes—
524#13133192C2311yescharacteristic
525#13133191C2314yes—
526#13133191C2314yes—
527#13133191C2311yescharacteristic
528#13133191C2314yes—
529#13133191C2314yes—
530#13133191C2312yes—
531#13133191C2312yes—
532#13133191C2312yes—
533#13133191C2314yes—
534#13133191C2312yes—
535#13133190C2314yes—
536#13133190C2314yes—
537#13133190C2314yes—
538#13133190C2314yes—
539#13133190C2314yes—
540#13133190C2314yes—
541#13133190C2314yes—
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2314yes—
545#13133190C2314yes—
546#13133190C2312yes—
547#13133190C2312yes—
548#13133190C2312yes—
549#13133189C2314yes—
550#13133189C2314yes—
551#13133189C2314yes—
552#13133189C2314yes—
553#13133189C2314yes—
554#13133189C2314yes—
555#13133189C2314yes—
556#13133189C2314yes—
557#13133189C2314yes—
558#13133189C2314yes—
559#13133189C2314yes—
560#13133189C2314yes—
561#13133189C2314yes—
562#13133189C2312yes—
563#13133189C2314yes—
564#13133189C2312yes—
565#13133189C2314yes—
566#13133189C2312yes—
567#13133188C2314yes—
568#13133188C2314yes—
569#13133188C2314yes—
570#13133188C2314yes—
571#13133188C2314yes—
572#13133188C2311yescharacteristic
573#13133188C2312yes—
574#13133188C2314yes—
575#13133188C2312yes—
576#13133188C2314yes—
577#13133188C2311yescharacteristic
578#13133188C2311yescharacteristic
579#13133188C2312yes—
580#13133188C2312yes—
581#13133187C2314yes—
582#13133187C2314yes—
583#13133187C2312yes—
584#13133187C2314yes—
585#13133187C2314yes—
586#13133187C2314yes—
587#13133185C2314yes—
588#13133185C2314yes—
589#13133185C2314yes—
590#13133185C2314yes—
591#13133185C2314yes—
592#13133185C2314yes—
593#13133185C2314yes—
594#13133185C2314yes—
595#13133185C2314yes—
596#13133185C2314yes—
597#13133185C2314yes—
598#13133185C2314yes—
599#13133185C2314yes—
600#13133185C2312yes—
601Q8×Dic53C2311yescharacteristic
602Q8×Dic53C2312yes—
603C4×Dic106C2312yes—
604C4×Dic106C2312yes—
605C4×Dic106C2312yes—
606C4×Dic106C2312yes—
607C4×Dic106C2311yescharacteristic
608C4×Dic106C2311yescharacteristic
609C4×Dic106C2312yes—
610C4×Dic106C2311yescharacteristic
611C4×Dic106C2312yes—
612#13133182C2312yes—
613#13133182C2311yescharacteristic
614#13133182C2312yes—
615#13133182C2312yes—
616C4×D212C2312yes—
617C4×D212C2312yes—
618C4×D212C2312yes—
619C4×D212C2312yes—
620C4×D212C2312yes—
621C4×D212C2314yes—
622C4×D212C2312yes—
623C4×D212C2311yescharacteristic
624C4×D212C2311yescharacteristic
625C4×D212C2314yes—
626C4×D212C2312yes—
627C4×D212C2312yes—
628C4×D212C2312yes—
629C4×D212C2312yes—
630C4×D212C2311yescharacteristic
631D4×Dic53C2312yes—
632D4×Dic53C2312yes—
633D4×Dic53C2314yes—
634D4×Dic53C2312yes—
635D4×Dic53C2312yes—
636D4×Dic53C2312yes—
637D4×Dic53C2314yes—
638D4×Dic53C2311yescharacteristic
639D4×Dic53C2312yes—
640#13133179C2311yescharacteristic
641#13133179C2312yes—
642#13133179C2314yes—
643#13133179C2314yes—
644#13133179C2314yes—
645#13133179C2312yes—
646#13133179C2314yes—
647#13133179C2312yes—
648#13133179C2312yes—
649#13133179C2312yes—
650C4×C22⋊D53C2312yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2314yes—
653C4×C22⋊D53C2314yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2314yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2312yes—
658C4×C22⋊D53C2314yes—
659C4×C22⋊D53C2312yes—
660C4×C22⋊D53C2314yes—
661C4×C22⋊D53C2314yes—
662C4×C22⋊D53C2312yes—
663C4×C22⋊D53C2312yes—
664C4×C22⋊D53C2312yes—
665C4×C22⋊D53C2312yes—
666C4×C22⋊D53C2312yes—
667C4×C22⋊D53C2314yes—
668C4×C22⋊D53C2312yes—
669C4×C22⋊D53C2312yes—
670C4×C22⋊D53C2312yes—
671#13133177C2312yes—
672#13133177C2314yes—
673#13133177C2314yes—
674#13133177C2314yes—
675#13133177C2314yes—
676#13133177C2314yes—
677#13133177C2314yes—
678#13133177C2314yes—
679#13133177C2314yes—
680#13133177C2312yes—
681#13133177C2312yes—
682#13133176C2312yes—
683#13133176C2311yescharacteristic
684#13133176C2312yes—
685#13133176C2312yes—
686#13133176C2312yes—
687#13133175C2312yes—
688#13133175C2314yes—
689#13133175C2312yes—
690#13133175C2314yes—
691#13133175C2312yes—
692#13133174C2312yes—
693#13133174C2314yes—
694#13133174C2312yes—
695#13133174C2312yes—
696#13133174C2314yes—
697#13133174C2314yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133174C2312yes—
701#13133174C2312yes—
702#13133173C2312yes—
703#13133173C2312yes—
704#13133173C2314yes—
705#13133173C2314yes—
706C2×#11719919C2314yes—
707C2×#11719919C2314yes—
708C4⋊C4×D53C2312yes—
709C4⋊C4×D53C2312yes—
710C4⋊C4×D53C2314yes—
711C4⋊C4×D53C2312yes—
712C4⋊C4×D53C2312yes—
713C4⋊C4×D53C2312yes—
714C4⋊C4×D53C2311yescharacteristic
715C4⋊C4×D53C2312yes—
716C4⋊C4×D53C2311yescharacteristic
717C4⋊C4×D53C2312yes—
718C2×#11719921C2314yes—
719C2×#11719921C2314yes—
720C2×#11719921C2314yes—
721C2×#11719921C2314yes—
722C2×#11719921C2314yes—
723C22⋊C4×D53C2314yes—
724C22⋊C4×D53C2312yes—
725C22⋊C4×D53C2314yes—
726C22⋊C4×D53C2312yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2312yes—
729C22⋊C4×D53C2312yes—
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×C53C2312yes—
750C2×#41×C53C2312yes—
751C2×#41×C53C2312yes—
752C2×#41×C53C2311yescharacteristic
753C4⋊Q8×C53C2311yescharacteristic
754C4⋊Q8×C53C2312yes—
755#127×C53C2311yescharacteristic
756#127×C53C2312yes—
757#127×C53C2312yes—
758#127×C53C2314yes—
759#126×C53C2312yes—
760#126×C53C2314yes—
761#125×C53C2314yes—
762#125×C53C2311yescharacteristic
763#125×C53C2312yes—
764#124×C53C2311yescharacteristic
765#124×C53C2312yes—
766#123×C53C2314yes—
767#123×C53C2314yes—
768#123×C53C2314yes—
769#123×C53C2314yes—
770#123×C53C2312yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2311yescharacteristic
773#121×C53C2311yescharacteristic
774#121×C53C2314yes—
775#121×C53C2314yes—
776#121×C53C2312yes—
777#121×C53C2314yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2314yes—
781#121×C53C2314yes—
782#121×C53C2312yes—
783#121×C53C2314yes—
784#121×C53C2312yes—
785#121×C53C2314yes—
786C4×Q8×C53C2312yes—
787C4×Q8×C53C2311yescharacteristic
788C4×Q8×C53C2311yescharacteristic
789C4×Q8×C53C2311yescharacteristic
790C4×Q8×C53C2312yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2312yes—
794C4×D4×C53C2314yes—
795C4×D4×C53C2314yes—
796C4×D4×C53C2314yes—
797C4×D4×C53C2312yes—
798C4×D4×C53C2311yescharacteristic
799C4×D4×C53C2311yescharacteristic
800C4×D4×C53C2312yes—
801C4×D4×C53C2312yes—
802C4×D4×C53C2314yes—
803C4×D4×C53C2311yescharacteristic
804C4×D4×C53C2312yes—
805#117×C53C2312yes—
806#117×C53C2311yescharacteristic
807#117×C53C2314yes—
808#117×C53C2312yes—
809C2×C4⋊C4×C53C2314yes—
810C2×C4⋊C4×C53C2312yes—
811C2×C42×C53C2311yescharacteristic
812C2×C42×C53C2312yes—
813C23×D53C2411yescharacteristic
814C23×D53C2412yes—
815C23×D53C2414yes—
816C23×D53C2414yes—
817C23×D53C2414yes—
818#41×C53—44no—
819#41×C53—42no—
820#41×C53—44no—
821#41×C53—44no—
822#41×C53—44no—
823C2×Q8×C53C2411yescharacteristic
824C2×Q8×C53C2411yescharacteristic
825C2×Q8×C53C2412yes—
826C2×D4×C53C2411yescharacteristic
827C2×D4×C53C2412yes—
828C2×D4×C53C2411yescharacteristic
829C2×D4×C53C2412yes—
830C2×D4×C53C2414yes—
831C2×D4×C53C2412yes—
832C2×D4×C53C2414yes—
833C2×D4×C53C2412yes—
834C2×D4×C53C2412yes—
835C2×D4×C53C2414yes—
836C2×D4×C53C2414yes—
837C2×D4×C53C2414yes—
838C2×D4×C53C2414yes—
839C22×C4×C53C2411yescharacteristic
840C22×C4×C53C2411yescharacteristic
841C22×C4×C53C2412yes—
842C22×C4×C53C2412yes—
843C22×C4×C53C2412yes—
844C22×C4×C53C2411yescharacteristic
845C22×C4×C53C2412yes—
846C22×C4×C53C2414yes—
847C22×C4×C53C2414yes—
848C22×C4×C53C2414yes—
849C22×C4×C53C2414yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2412yes—
852C2×C22⋊D53C2414yes—
853C2×C22⋊D53C2412yes—
854C2×C22⋊D53C2412yes—
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2414yes—
859C2×C22⋊D53C2412yes—
860C2×C22⋊D53C2414yes—
861C2×C22⋊D53C2414yes—
862C2×C22⋊D53C2414yes—
863C2×C22⋊D53C2412yes—
864C2×C22⋊D53C2412yes—
865C2×C22⋊D53C2414yes—
866C2×C22⋊D53C2414yes—
867C2×C22⋊D53C2414yes—
868C2×C22⋊D53C2414yes—
869C22×Dic53C2411yescharacteristic
870C22×Dic53C2414yes—
871C22×Dic53C2411yescharacteristic
872C22×Dic53C2411yescharacteristic
873C22×Dic53C2412yes—
874C22×Dic53C2414yes—
875C22×Dic53C2414yes—
876C22×Dic53C2414yes—
877#11719949—28no—
878#11719949—44no—
879Q8×D53—24no—
880Q8×D53—44no—
881Q8×D53—44no—
882#11719947—28no—
883#11719947—44no—
884#11719947—44no—
885#11719947—48no—
886#11719947—48no—
887#11719947—48no—
888D4×D53—24no—
889D4×D53—44no—
890D4×D53—44no—
891D4×D53—44no—
892D4×D53—44no—
893D4×D53—48no—
894D4×D53—44no—
895D4×D53—48no—
896D4×D53—48no—
897D4×D53—44no—
898D4×D53—48no—
899D4×D53—48no—
900#11719945—28no—
901#11719945—48no—
902#11719945—44no—
903#11719945—42no—
904#11719945—48no—
905#11719945—44no—
906#11719945—48no—
907C2×D212—44no—
908C2×D212—44no—
909C2×D212—48no—
910C2×D212C2412yes—
911C2×D212C2412yes—
912C2×D212C2412yes—
913C2×D212C2414yes—
914C2×D212C2411yescharacteristic
915C2×D212C2412yes—
916C2×D212C2411yescharacteristic
917C2×D212C2412yes—
918C2×D212C2414yes—
919C2×D212C2412yes—
920C2×D212C2414yes—
921C2×D212C2414yes—
922C2×C4×D53—24no—
923C2×C4×D53—48no—
924C2×C4×D53—42no—
925C2×C4×D53—44no—
926C2×C4×D53—42no—
927C2×C4×D53C2411yescharacteristic
928C2×C4×D53C2411yescharacteristic
929C2×C4×D53C2411yescharacteristic
930C2×C4×D53C2411yescharacteristic
931C2×C4×D53C2411yescharacteristic
932C2×C4×D53C2411yescharacteristic
933C2×C4×D53C2411yescharacteristic
934C2×C4×D53C2412yes—
935C2×C4×D53C2412yes—
936C2×C4×D53C2412yes—
937C2×C4×D53C2414yes—
938C2×C4×D53C2411yescharacteristic
939C2×C4×D53C2411yescharacteristic
940C2×C4×D53C2411yescharacteristic
941C2×C4×D53C2411yescharacteristic
942C2×C4×D53C2412yes—
943C2×C4×D53C2412yes—
944C2×C4×D53C2412yes—
945C2×C4×D53C2412yes—
946C2×C4×D53C2414yes—
947C2×C4×D53C2412yes—
948C2×C4×D53C2414yes—
949C2×C4×D53C2414yes—
950C2×C4×D53C2414yes—
951C2×C4×D53C2414yes—
952C2×C4×D53C2414yes—
953C2×C4×D53C2411yescharacteristic
954C2×Dic106—48no—
955C2×Dic106—44no—
956C2×Dic106C2411yescharacteristic
957C2×Dic106C2412yes—
958C2×Dic106C2412yes—
959C2×Dic106C2411yescharacteristic
960C2×Dic106C2412yes—
961C2×Dic106C2412yes—
962C2×Dic106C2414yes—
963C2×Dic106C2414yes—
964C2×Dic106C2414yes—
965C4⋊C4×C53C2411yescharacteristic
966C4⋊C4×C53C2412yes—
967C4⋊C4×C53C2412yes—
968C4⋊C4×C53C2414yes—
969C4⋊C4×C53C2412yes—
970C4⋊C4×C53C2414yes—
971C4⋊C4×C53C2412yes—
972C4⋊C4×C53C2411yescharacteristic
973C4⋊C4×C53C2412yes—
974C4⋊C4×C53C2411yescharacteristic
975C4⋊C4×C53C2412yes—
976C4⋊C4×C53C2412yes—
977C4⋊C4×C53C2414yes—
978C4⋊C4×C53C2411yescharacteristic
979C4⋊C4×C53C2414yes—
980C4⋊C4×C53C2412yes—
981C22⋊C4×C53C2412yes—
982C22⋊C4×C53C2414yes—
983C22⋊C4×C53C2412yes—
984C22⋊C4×C53C2412yes—
985C22⋊C4×C53C2412yes—
986C22⋊C4×C53C2412yes—
987C22⋊C4×C53C2414yes—
988C22⋊C4×C53C2412yes—
989C22⋊C4×C53C2414yes—
990C22⋊C4×C53C2414yes—
991C22⋊C4×C53C2412yes—
992C22⋊C4×C53C2412yes—
993C22⋊C4×C53C2414yes—
994C42×C53C2411yescharacteristic
995C42×C53C2411yescharacteristic
996C42×C53C2412yes—
997C42×C53C2411yescharacteristic
998C42×C53C2412yes—
999C42×C53C2411yescharacteristic
1000C42×C53C2412yes—
1001C42×C53C2412yes—
1002C42×C53C2414yes—
1003C22⋊Dic53C2412yes—
1004C22⋊Dic53C2414yes—
1005C22⋊Dic53C2412yes—
1006C22⋊Dic53C2412yes—
1007C22⋊Dic53C2414yes—
1008C22⋊Dic53C2412yes—
1009C22⋊Dic53C2414yes—
1010C22⋊Dic53C2412yes—
1011C22⋊Dic53C2414yes—
1012C22⋊Dic53C2414yes—
1013C22⋊Dic53C2412yes—
1014C22⋊Dic53C2414yes—
1015C22⋊Dic53C2414yes—
1016C22⋊Dic53C2412yes—
1017C22⋊Dic53C2412yes—
1018C22⋊Dic53C2412yes—
1019C22⋊Dic53C2412yes—
1020#11719921C2412yes—
1021#11719921C2414yes—
1022#11719921C2414yes—
1023#11719921C2414yes—
1024#11719921C2412yes—
1025#11719921C2412yes—
1026#11719921C2412yes—
1027#11719921C2412yes—
1028#11719921C2412yes—
1029#11719921C2414yes—
1030#11719921C2414yes—
1031#11719921C2414yes—
1032#11719921C2412yes—
1033#11719921C2412yes—
1034#11719921C2412yes—
1035#11719921C2412yes—
1036#11719921C2414yes—
1037#11719921C2412yes—
1038#11719921C2414yes—
1039#11719921C2414yes—
1040#11719921C2412yes—
1041#11719921C2412yes—
1042#11719921C2412yes—
1043#11719921C2414yes—
1044#11719921C2414yes—
1045#11719921C2414yes—
1046#11719921C2414yes—
1047#11719921C2414yes—
1048#11719921C2412yes—
1049#11719921C2412yes—
1050#11719921C2412yes—
1051#11719921C2412yes—
1052#11719921C2412yes—
1053#11719921C2412yes—
1054#11719921C2414yes—
1055#11719921C2414yes—
1056C4⋊Dic53C2411yescharacteristic
1057C4⋊Dic53C2412yes—
1058C4⋊Dic53C2412yes—
1059C4⋊Dic53C2412yes—
1060C4⋊Dic53C2411yescharacteristic
1061C4⋊Dic53C2412yes—
1062C4⋊Dic53C2412yes—
1063C4⋊Dic53C2411yescharacteristic
1064C4⋊Dic53C2414yes—
1065C4⋊Dic53C2412yes—
1066C4⋊Dic53C2412yes—
1067C4⋊Dic53C2414yes—
1068C4⋊Dic53C2411yescharacteristic
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#11719919C2414yes—
1082#11719919C2414yes—
1083#11719919C2412yes—
1084#11719919C2412yes—
1085#11719919C2412yes—
1086#11719919C2412yes—
1087#11719919C2412yes—
1088#11719919C2414yes—
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×C53C2514yes—
1122C23×C53C2511yescharacteristic
1123C23×C53C2512yes—
1124C23×C53C2512yes—
1125C22×D53—22no—
1126C22×D53—22no—
1127C22×D53—24no—
1128C22×D53—28no—
1129C22×D53—41no—
1130C22×D53—44no—
1131C22×D53—42no—
1132C22×D53—44no—
1133C22×D53—42no—
1134C22×D53—44no—
1135C22×D53—44no—
1136C22×D53—44no—
1137C22×D53—44no—
1138C22×D53—44no—
1139C22×D53—44no—
1140C22×D53C2512yes—
1141C22×D53C2514yes—
1142C22×D53C2512yes—
1143C22×D53C2511yescharacteristic
1144C22×D53C2511yescharacteristic
1145Q8×C53—22no—
1146Q8×C53—24no—
1147Q8×C53—22no—
1148D4×C53—22no—
1149D4×C53—24no—
1150D4×C53—22no—
1151D4×C53—24no—
1152D4×C53—44no—
1153D4×C53—44no—
1154D4×C53—44no—
1155D4×C53—42no—
1156D4×C53—42no—
1157D4×C53—44no—
1158D4×C53—44no—
1159D4×C53—42no—
1160D4×C53—44no—
1161C2×C4×C53—24no—
1162C2×C4×C53—22no—
1163C2×C4×C53—24no—
1164C2×C4×C53—22no—
1165C2×C4×C53—44no—
1166C2×C4×C53—44no—
1167C2×C4×C53—41no—
1168C2×C4×C53—44no—
1169C2×C4×C53—42no—
1170C2×C4×C53—42no—
1171C2×C4×C53—44no—
1172C2×C4×C53C2512yes—
1173C2×C4×C53C2512yes—
1174C2×C4×C53C2514yes—
1175C2×C4×C53C2512yes—
1176C2×C4×C53C2511yescharacteristic
1177C2×C4×C53C2511yescharacteristic
1178C2×C4×C53C2511yescharacteristic
1179C2×C4×C53C2512yes—
1180C2×C4×C53C2512yes—
1181C2×C4×C53C2511yescharacteristic
1182C2×C4×C53C2512yes—
1183C2×C4×C53C2511yescharacteristic
1184C2×C4×C53C2511yescharacteristic
1185C22⋊D53—24no—
1186C22⋊D53—28no—
1187C22⋊D53—24no—
1188C22⋊D53—24no—
1189C22⋊D53—24no—
1190C22⋊D53—24no—
1191C22⋊D53—44no—
1192C22⋊D53—44no—
1193C22⋊D53—44no—
1194C22⋊D53—44no—
1195C22⋊D53—42no—
1196C22⋊D53—42no—
1197C22⋊D53—44no—
1198C22⋊D53—44no—
1199C22⋊D53—44no—
1200C22⋊D53—44no—
1201C22⋊D53—44no—
1202C22⋊D53—42no—
1203C22⋊D53—44no—
1204C2×Dic53—28no—
1205C2×Dic53—22no—
1206C2×Dic53—44no—
1207C2×Dic53—44no—
1208C2×Dic53—41no—
1209C2×Dic53—42no—
1210C2×Dic53—41no—
1211C2×Dic53—44no—
1212C2×Dic53C2514yes—
1213C2×Dic53C2511yescharacteristic
1214C2×Dic53C2512yes—
1215C2×Dic53C2512yes—
1216C2×Dic53C2511yescharacteristic
1217C2×Dic53C2512yes—
1218C2×Dic53C2512yes—
1219C2×Dic53C2511yescharacteristic
1220C2×Dic53C2512yes—
1221C2×Dic53C2512yes—
1222C2×Dic53C2511yescharacteristic
1223C2×Dic53C2511yescharacteristic
1224C2×Dic53C2511yescharacteristic
1225D212—24no—
1226D212—28no—
1227D212—24no—
1228D212—24no—
1229D212—22no—
1230D212—24no—
1231D212—22no—
1232D212—24no—
1233D212—44no—
1234D212—44no—
1235D212—44no—
1236D212—42no—
1237C4×D53—22no—
1238C4×D53—24no—
1239C4×D53—22no—
1240C4×D53—22no—
1241C4×D53—22no—
1242C4×D53—24no—
1243C4×D53—22no—
1244C4×D53—22no—
1245C4×D53—24no—
1246C4×D53—22no—
1247C4×D53—28no—
1248C4×D53—41no—
1249C4×D53—41no—
1250C4×D53—42no—
1251C4×D53—42no—
1252C4×D53—41no—
1253C4×D53—41no—
1254C4×D53—44no—
1255C4×D53—44no—
1256C4×D53—42no—
1257C4×D53—42no—
1258C4×D53—44no—
1259C4×D53—44no—
1260C4×D53—44no—
1261C4×D53—44no—
1262C4×D53—42no—
1263C4×D53H(5,𝔽2)14yes—
1264Dic106—22no—
1265Dic106—24no—
1266Dic106—22no—
1267Dic106—24no—
1268Dic106—24no—
1269Dic106—44no—
1270Dic106—44no—
1271Dic106—42no—
1272Dic106—44no—
1273#62830—531nomaximal, Sylow
1274C22×C53—24no—
1275C22×C53—21no—
1276C22×C53—22no—
1277C22×C53—22no—
1278C22×C53—21no—
1279C22×C53—24no—
1280C22×C53—21no—
1281C22×C53—22no—
1282C22×C53—22no—
1283C22×C53—22no—
1284C22×C53—24no—
1285C22×C53—22no—
1286C22×C53C2611yescharacteristic
1287C2×D53—21no—
1288C2×D53—21no—
1289C2×D53—21no—
1290C2×D53—21no—
1291C2×D53—22no—
1292C2×D53—24no—
1293C2×D53—22no—
1294C2×D53—22no—
1295C2×D53—24no—
1296C2×D53—22no—
1297C2×D53—22no—
1298C2×D53—24no—
1299C2×D53—22no—
1300C2×D53—44no—
1301C2×D53—88no—
1302C2×D53—84no—
1303C2×D53—164no—
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—24no—
1322Dic53—22no—
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#3517D5311yescharacteristic, complemented
1350#3514—532no—
1351#3514—532no—
1352#3514—531no—
1353#3514—531no—
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—42no—
1370C2×C53—44no—
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—532no—
1392#559—531no—
1393#559—531no—
1394#559—532no—
1395#557—531no—
1396#557C2×D5311yescharacteristic, complemented
1397#556—532no—
1398#556—532no—
1399#556—532no—
1400#556—531no—
1401#556—531no—
1402#555—534no—
1403#555—532no—
1404#555—532no—
1405#555—534no—
1406#555—532no—
1407#554—532no—
1408#554—532no—
1409#554—532no—
1410#553—534no—
1411#553—532no—
1412#553—534no—
1413#553—534no—
1414#553—534no—
1415#553—534no—
1416#553—532no—
1417#553—532no—
1418#553—534no—
1419#553—534no—
1420#553—534no—
1421#553—534no—
1422#553—534no—
1423#553C2×D5314yescomplemented
1424#553C2×D5312yescomplemented
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#551—534no—
1436#550—532no—
1437#550—531no—
1438#550—532no—
1439#550—531no—
1440#550—532no—
1441#550C2×D5312yescomplemented
1442#550C2×D5311yescharacteristic, complemented
1443#550C2×D5311yescharacteristic, complemented
1444#550C2×D5312yescomplemented
1445D4×Q8—532no—
1446D4×Q8—532no—
1447D4×Q8—531no—
1448D4×Q8—531no—
1449D4×Q8—532no—
1450#548—532no—
1451#548—532no—
1452#548—532no—
1453#548—534no—
1454#548—532no—
1455#548—532no—
1456#548—532no—
1457#548—534no—
1458#548—534no—
1459#547—532no—
1460#547—532no—
1461#547—531no—
1462#547—534no—
1463#547—534no—
1464#547—532no—
1465#547C2×D5312yescomplemented
1466#547C2×D5311yescharacteristic, complemented
1467#546—532no—
1468#546—532no—
1469#546—532no—
1470#546—532no—
1471#546—534no—
1472#546—534no—
1473#546—534no—
1474#546—532no—
1475#546—534no—
1476#546—532no—
1477#546—534no—
1478#546—534no—
1479#546—534no—
1480#546—534no—
1481#546—534no—
1482#546—534no—
1483#546—532no—
1484#546—532no—
1485#546—534no—
1486#546—532no—
1487#546—534no—
1488#546—534no—
1489#546—532no—
1490D42—532no—
1491D42—534no—
1492D42—532no—
1493D42—532no—
1494D42—534no—
1495D42—532no—
1496D42—532no—
1497D42—531no—
1498D42—531no—
1499#544—532no—
1500#544—532no—
1501#542—534no—
1502#542—532no—
1503#542—532no—
1504#542—532no—
1505#542—534no—
1506#542—532no—
1507#541—532no—
1508#541—532no—
1509#540—534no—
1510#540—534no—
1511#540—532no—
1512#540—532no—
1513#540—534no—
1514#540—532no—
1515#540—532no—
1516#540—532no—
1517#540C2×D5312yescomplemented
1518#540C2×D5314yescomplemented
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#538—534no—
1535#537—532no—
1536#537—532no—
1537#537—534no—
1538#537—534no—
1539#537—534no—
1540#536—532no—
1541#536—532no—
1542#536—532no—
1543#536—534no—
1544#535—532no—
1545#535—532no—
1546#535—532no—
1547#535—534no—
1548#535—532no—
1549#535—532no—
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—531no—
1560#532—532no—
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#532C2×D5311yescharacteristic, complemented
1572#532C2×D5312yescomplemented
1573C2×C4⋊Q8—531no—
1574C2×#127—531no—
1575#529—532no—
1576#529—531no—
1577#529—532no—
1578#529—532no—
1579#529—531no—
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—532no—
1589#529—531no—
1590#529—532no—
1591#529—532no—
1592#529—531no—
1593#529—531no—
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×#124—532no—
1607#525—531no—
1608#525—532no—
1609#525—534no—
1610#525—532no—
1611#525—532no—
1612#525—532no—
1613#525—534no—
1614#525—531no—
1615C2×#123—532no—
1616C2×C22⋊Q8—531no—
1617C2×C22⋊Q8—534no—
1618C2×#121—531no—
1619C2×#121—532no—
1620C2×#121—532no—
1621C2×#121—534no—
1622C2×#121—532no—
1623C2×#121—532no—
1624#520—532no—
1625#520—532no—
1626#520—532no—
1627#520C2×D5312yescomplemented
1628#518—532no—
1629#518—534no—
1630#518—534no—
1631#518—532no—
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—532no—
1650C2×#41—534no—
1651C2×#41—534no—
1652C2×#41—532no—
1653C2×#41—534no—
1654C2×#41—532no—
1655C2×#41—532no—
1656C2×#41—531no—
1657C2×#41—534no—
1658C2×#41—534no—
1659C2×#41—532no—
1660C2×#41—534no—
1661C2×#41—2128no—
1662C2×#41C22×D5311yescharacteristic
1663C2×#41C22×D5312yes—
1664C2×#41C22×D5312yes—
1665C2×#41C22×D5312yes—
1666C2×#41C22×D5312yes—
1667C22×Q8—531no—
1668C22×Q8—532no—
1669C22×Q8—532no—
1670C22×Q8—534no—
1671C22×Q8—532no—
1672C22×D4—531no—
1673C22×D4—532no—
1674C22×D4—532no—
1675C22×D4—532no—
1676C22×D4—534no—
1677C22×D4—534no—
1678C22×D4—532no—
1679C22×D4—534no—
1680C22×D4—534no—
1681C22×D4—534no—
1682C22×D4—532no—
1683C22×D4—532no—
1684C22×D4—532no—
1685C22×D4—534no—
1686C22×D4—532no—
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—532no—
1696C4⋊Q8—532no—
1697C4⋊Q8—531no—
1698C4⋊Q8—531no—
1699C4⋊Q8—532no—
1700C4⋊Q8—534no—
1701C4⋊Q8—534no—
1702C4⋊Q8—531no—
1703C4⋊Q8—532no—
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—531no—
1714#127C22×D5311yescharacteristic
1715#127C22×D5312yes—
1716#127C22×D5312yes—
1717#127C22×D5314yes—
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—534no—
1727#126—534no—
1728#126—534no—
1729#126—532no—
1730#126—532no—
1731#126—532no—
1732#126—532no—
1733#126—532no—
1734#126—534no—
1735#126—534no—
1736#126—534no—
1737#126—534no—
1738#126—532no—
1739#126—534no—
1740#126—534no—
1741#126—534no—
1742#126C22×D5312yes—
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—531no—
1758#125—534no—
1759#125C22×D5311yescharacteristic
1760#125C22×D5312yes—
1761#125C22×D5314yes—
1762#124—531no—
1763#124—532no—
1764#124—532no—
1765#124—531no—
1766#124—532no—
1767#124—531no—
1768#124—532no—
1769#124—532no—
1770#124—531no—
1771#124—534no—
1772#124—534no—
1773#124—534no—
1774#124—532no—
1775#124—532no—
1776#124—534no—
1777#124—534no—
1778#124—534no—
1779#124—534no—
1780#124—532no—
1781#124—532no—
1782#124—534no—
1783#124—534no—
1784#124—534no—
1785#124—534no—
1786#124—531no—
1787#124—532no—
1788#124—532no—
1789#124—532no—
1790#124—534no—
1791#124—534no—
1792#124—532no—
1793#124—534no—
1794#124C22×D5311yescharacteristic
1795#124C22×D5312yes—
1796#123—532no—
1797#123—532no—
1798#123—534no—
1799#123—534no—
1800#123—534no—
1801#123—534no—
1802#123—534no—
1803#123—532no—
1804#123—534no—
1805#123—534no—
1806#123—534no—
1807#123—534no—
1808#123—534no—
1809#123—534no—
1810#123—532no—
1811#123—532no—
1812#123—532no—
1813#123—532no—
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—532no—
1825#123—532no—
1826#123—532no—
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#123C22×D5312yes—
1838#123C22×D5314yes—
1839#123C22×D5314yes—
1840#123C22×D5314yes—
1841#123C22×D5314yes—
1842C22⋊Q8—531no—
1843C22⋊Q8—531no—
1844C22⋊Q8—531no—
1845C22⋊Q8—532no—
1846C22⋊Q8—532no—
1847C22⋊Q8—531no—
1848C22⋊Q8—532no—
1849C22⋊Q8—532no—
1850C22⋊Q8—534no—
1851C22⋊Q8—534no—
1852C22⋊Q8—534no—
1853C22⋊Q8—534no—
1854C22⋊Q8—532no—
1855C22⋊Q8—532no—
1856C22⋊Q8—531no—
1857C22⋊Q8—534no—
1858C22⋊Q8—534no—
1859C22⋊Q8—534no—
1860C22⋊Q8—534no—
1861C22⋊Q8—534no—
1862C22⋊Q8—534no—
1863C22⋊Q8—531no—
1864C22⋊Q8—532no—
1865C22⋊Q8—531no—
1866C22⋊Q8—534no—
1867C22⋊Q8—532no—
1868C22⋊Q8—534no—
1869C22⋊Q8—534no—
1870C22⋊Q8—534no—
1871C22⋊Q8—534no—
1872C22⋊Q8—534no—
1873C22⋊Q8—534no—
1874C22⋊Q8—534no—
1875C22⋊Q8—532no—
1876C22⋊Q8—532no—
1877C22⋊Q8—532no—
1878C22⋊Q8—534no—
1879C22⋊Q8—534no—
1880C22⋊Q8—534no—
1881C22⋊Q8—534no—
1882C22⋊Q8C22×D5311yescharacteristic
1883C22⋊Q8C22×D5312yes—
1884#121—531no—
1885#121—532no—
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—534no—
1895#121—532no—
1896#121—531no—
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—534no—
1907#121—534no—
1908#121—534no—
1909#121—534no—
1910#121—534no—
1911#121—534no—
1912#121—534no—
1913#121—534no—
1914#121—534no—
1915#121—534no—
1916#121—531no—
1917#121—532no—
1918#121—532no—
1919#121—534no—
1920#121—532no—
1921#121—532no—
1922#121—534no—
1923#121—534no—
1924#121—534no—
1925#121—534no—
1926#121—532no—
1927#121—531no—
1928#121—531no—
1929#121—532no—
1930#121—534no—
1931#121—534no—
1932#121—534no—
1933#121—532no—
1934#121—532no—
1935#121—531no—
1936#121—532no—
1937#121—532no—
1938#121—532no—
1939#121—534no—
1940#121—534no—
1941#121—534no—
1942#121—532no—
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#121C22×D5311yescharacteristic
1952#121C22×D5312yes—
1953#121C22×D5312yes—
1954#121C22×D5314yes—
1955#121C22×D5312yes—
1956#121C22×D5312yes—
1957#121C22×D5312yes—
1958#121C22×D5314yes—
1959#121C22×D5314yes—
1960#121C22×D5314yes—
1961#121C22×D5314yes—
1962#121C22×D5314yes—
1963#121C22×D5314yes—
1964#120—532no—
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—532no—
1979#120—534no—
1980#120—534no—
1981#120—534no—
1982#120—534no—
1983#120—534no—
1984C4×Q8—531no—
1985C4×Q8—532no—
1986C4×Q8—532no—
1987C4×Q8—531no—
1988C4×Q8—532no—
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×Q8C22×D5311yescharacteristic
2000C4×Q8C22×D5311yescharacteristic
2001C4×Q8C22×D5311yescharacteristic
2002C4×Q8C22×D5312yes—
2003C4×Q8C22×D5312yes—
2004C4×D4—532no—
2005C4×D4—531no—
2006C4×D4—532no—
2007C4×D4—532no—
2008C4×D4—534no—
2009C4×D4—534no—
2010C4×D4—532no—
2011C4×D4—532no—
2012C4×D4—532no—
2013C4×D4—532no—
2014C4×D4—532no—
2015C4×D4—532no—
2016C4×D4—534no—
2017C4×D4—534no—
2018C4×D4—532no—
2019C4×D4—532no—
2020C4×D4—532no—
2021C4×D4—532no—
2022C4×D4—532no—
2023C4×D4—532no—
2024C4×D4—532no—
2025C4×D4—532no—
2026C4×D4—532no—
2027C4×D4—532no—
2028C4×D4—534no—
2029C4×D4—534no—
2030C4×D4—534no—
2031C4×D4—534no—
2032C4×D4—534no—
2033C4×D4—534no—
2034C4×D4—532no—
2035C4×D4—531no—
2036C4×D4—532no—
2037C4×D4—532no—
2038C4×D4—534no—
2039C4×D4—534no—
2040C4×D4—534no—
2041C4×D4—532no—
2042C4×D4—534no—
2043C4×D4—532no—
2044C4×D4—532no—
2045C4×D4—532no—
2046C4×D4—532no—
2047C4×D4—534no—
2048C4×D4—534no—
2049C4×D4—534no—
2050C4×D4—534no—
2051C4×D4—534no—
2052C4×D4—534no—
2053C4×D4—534no—
2054C4×D4—534no—
2055C4×D4—532no—
2056C4×D4—532no—
2057C4×D4—531no—
2058C4×D4—532no—
2059C4×D4—532no—
2060C4×D4—531no—
2061C4×D4—532no—
2062C4×D4—532no—
2063C4×D4—532no—
2064C4×D4—531no—
2065C4×D4—534no—
2066C4×D4—532no—
2067C4×D4—532no—
2068C4×D4—534no—
2069C4×D4—532no—
2070C4×D4C22×D5312yes—
2071C4×D4C22×D5311yescharacteristic
2072C4×D4C22×D5312yes—
2073C4×D4C22×D5312yes—
2074C4×D4C22×D5311yescharacteristic
2075C4×D4C22×D5312yes—
2076C4×D4C22×D5312yes—
2077C4×D4C22×D5311yescharacteristic
2078C4×D4C22×D5314yes—
2079C4×D4C22×D5314yes—
2080C4×D4C22×D5312yes—
2081C4×D4C22×D5314yes—
2082C4×D4C22×D5312yes—
2083C4×D4C22×D5314yes—
2084#117—532no—
2085#117—531no—
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—532no—
2095#117—532no—
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#117—534no—
2108#117C22×D5312yes—
2109#117C22×D5311yescharacteristic
2110#117C22×D5312yes—
2111#117C22×D5314yes—
2112C2×C4⋊C4—534no—
2113C2×C4⋊C4—534no—
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—534no—
2123C2×C4⋊C4—532no—
2124C2×C4⋊C4C22×D5312yes—
2125C2×C4⋊C4C22×D5314yes—
2126C2×C22⋊C4—534no—
2127C2×C22⋊C4—534no—
2128C2×C22⋊C4—534no—
2129C2×C22⋊C4—534no—
2130C2×C22⋊C4—534no—
2131C2×C22⋊C4—532no—
2132C2×C22⋊C4—532no—
2133C2×C22⋊C4—534no—
2134C2×C22⋊C4—534no—
2135C2×C22⋊C4—532no—
2136C2×C22⋊C4—532no—
2137C2×C22⋊C4—532no—
2138C2×C22⋊C4—534no—
2139C2×C22⋊C4—534no—
2140C2×C22⋊C4—534no—
2141C2×C22⋊C4—534no—
2142C2×C22⋊C4—534no—
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—
2162C24—534no—
2163#41—44no—
2164#41—44no—
2165#41—42no—
2166#41—44no—
2167#41—44no—
2168#41—1068no—
2169#41—1068no—
2170#41—1068no—
2171#41—2122no—
2172#41—2124no—
2173#41—2124no—
2174#41—2128no—
2175#41—2128no—
2176#41—2128no—
2177#41—2128no—
2178#41—2124no—
2179#41—2124no—
2180#41—2128no—
2181#41—2128no—
2182#41—2124no—
2183C2×Q8—531no—
2184C2×Q8—532no—
2185C2×Q8—532no—
2186C2×Q8—531no—
2187C2×Q8—532no—
2188C2×Q8—532no—
2189C2×Q8—534no—
2190C2×Q8—534no—
2191C2×Q8—534no—
2192C2×Q8—1064no—
2193C2×Q8—2124no—
2194C2×Q8—2128no—
2195C2×Q8—2124no—
2196C2×Q8—2124no—
2197C2×Q8C23×D5311yescharacteristic
2198C2×Q8C23×D5312yes—
2199C2×Q8C23×D5311yescharacteristic
2200C2×D4—532no—
2201C2×D4—532no—
2202C2×D4—534no—
2203C2×D4—532no—
2204C2×D4—532no—
2205C2×D4—532no—
2206C2×D4—532no—
2207C2×D4—534no—
2208C2×D4—534no—
2209C2×D4—532no—
2210C2×D4—534no—
2211C2×D4—532no—
2212C2×D4—534no—
2213C2×D4—534no—
2214C2×D4—534no—
2215C2×D4—534no—
2216C2×D4—534no—
2217C2×D4—534no—
2218C2×D4—534no—
2219C2×D4—532no—
2220C2×D4—532no—
2221C2×D4—532no—
2222C2×D4—531no—
2223C2×D4—532no—
2224C2×D4—534no—
2225C2×D4—531no—
2226C2×D4—532no—
2227C2×D4—532no—
2228C2×D4—534no—
2229C2×D4—534no—
2230C2×D4—534no—
2231C2×D4—1064no—
2232C2×D4—2124no—
2233C2×D4—2124no—
2234C2×D4—2128no—
2235C2×D4—2124no—
2236C2×D4—2124no—
2237C2×D4—2124no—
2238C2×D4—2124no—
2239C2×D4—2128no—
2240C2×D4—2124no—
2241C2×D4—2124no—
2242C2×D4—2128no—
2243C2×D4—2128no—
2244C2×D4—2128no—
2245C2×D4—2128no—
2246C2×D4C23×D5311yescharacteristic
2247C2×D4C23×D5312yes—
2248C2×D4C23×D5311yescharacteristic
2249C2×D4C23×D5312yes—
2250C2×D4C23×D5314yes—
2251C2×D4C23×D5312yes—
2252C2×D4C23×D5314yes—
2253C2×D4C23×D5312yes—
2254C2×D4C23×D5314yes—
2255C2×D4C23×D5312yes—
2256C2×D4C23×D5314yes—
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—534no—
2268C22×C4—531no—
2269C22×C4—531no—
2270C22×C4—531no—
2271C22×C4—531no—
2272C22×C4—531no—
2273C22×C4—531no—
2274C22×C4—531no—
2275C22×C4—532no—
2276C22×C4—532no—
2277C22×C4—532no—
2278C22×C4—534no—
2279C22×C4—531no—
2280C22×C4—531no—
2281C22×C4—531no—
2282C22×C4—531no—
2283C22×C4—532no—
2284C22×C4—532no—
2285C22×C4—532no—
2286C22×C4—532no—
2287C22×C4—534no—
2288C22×C4—532no—
2289C22×C4—534no—
2290C22×C4—534no—
2291C22×C4—534no—
2292C22×C4—534no—
2293C22×C4—534no—
2294C22×C4—1064no—
2295C22×C4—2124no—
2296C22×C4—2122no—
2297C22×C4—2128no—
2298C22×C4—2122no—
2299C22×C4C23×D5311yescharacteristic
2300C22×C4C23×D5311yescharacteristic
2301C22×C4C23×D5312yes—
2302C22×C4C23×D5312yes—
2303C22×C4C23×D5311yescharacteristic
2304C22×C4C23×D5312yes—
2305C22×C4C23×D5312yes—
2306C22×C4C23×D5314yes—
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—531no—
2316C4⋊C4—532no—
2317C4⋊C4—534no—
2318C4⋊C4—532no—
2319C4⋊C4—532no—
2320C4⋊C4—532no—
2321C4⋊C4—532no—
2322C4⋊C4—532no—
2323C4⋊C4—532no—
2324C4⋊C4—532no—
2325C4⋊C4—531no—
2326C4⋊C4—531no—
2327C4⋊C4—532no—
2328C4⋊C4—534no—
2329C4⋊C4—534no—
2330C4⋊C4—532no—
2331C4⋊C4—532no—
2332C4⋊C4—534no—
2333C4⋊C4—534no—
2334C4⋊C4—534no—
2335C4⋊C4—534no—
2336C4⋊C4—532no—
2337C4⋊C4—532no—
2338C4⋊C4—532no—
2339C4⋊C4—531no—
2340C4⋊C4—532no—
2341C4⋊C4—532no—
2342C4⋊C4—534no—
2343C4⋊C4—534no—
2344C4⋊C4—534no—
2345C4⋊C4—532no—
2346C4⋊C4—532no—
2347C4⋊C4—532no—
2348C4⋊C4—532no—
2349C4⋊C4—532no—
2350C4⋊C4—532no—
2351C4⋊C4—532no—
2352C4⋊C4—532no—
2353C4⋊C4—532no—
2354C4⋊C4C23×D5312yes—
2355C4⋊C4C23×D5312yes—
2356C4⋊C4C23×D5312yes—
2357C4⋊C4C23×D5312yes—
2358C4⋊C4C23×D5311yescharacteristic
2359C4⋊C4C23×D5311yescharacteristic
2360C4⋊C4C23×D5312yes—
2361C4⋊C4C23×D5314yes—
2362C4⋊C4C23×D5312yes—
2363C4⋊C4C23×D5311yescharacteristic
2364C4⋊C4C23×D5312yes—
2365C4⋊C4C23×D5314yes—
2366C4⋊C4C23×D5314yes—
2367C4⋊C4C23×D5311yescharacteristic
2368C4⋊C4C23×D5314yes—
2369C4⋊C4C23×D5312yes—
2370C22⋊C4—532no—
2371C22⋊C4—534no—
2372C22⋊C4—532no—
2373C22⋊C4—532no—
2374C22⋊C4—534no—
2375C22⋊C4—532no—
2376C22⋊C4—534no—
2377C22⋊C4—532no—
2378C22⋊C4—534no—
2379C22⋊C4—532no—
2380C22⋊C4—534no—
2381C22⋊C4—532no—
2382C22⋊C4—532no—
2383C22⋊C4—532no—
2384C22⋊C4—534no—
2385C22⋊C4—532no—
2386C22⋊C4—534no—
2387C22⋊C4—532no—
2388C22⋊C4—534no—
2389C22⋊C4—532no—
2390C22⋊C4—534no—
2391C22⋊C4—532no—
2392C22⋊C4—532no—
2393C22⋊C4—532no—
2394C22⋊C4—534no—
2395C22⋊C4—532no—
2396C22⋊C4—532no—
2397C22⋊C4—532no—
2398C22⋊C4—532no—
2399C22⋊C4—534no—
2400C22⋊C4—534no—
2401C22⋊C4—534no—
2402C22⋊C4—534no—
2403C22⋊C4—534no—
2404C22⋊C4—532no—
2405C22⋊C4—532no—
2406C22⋊C4—534no—
2407C22⋊C4—532no—
2408C22⋊C4—532no—
2409C22⋊C4—534no—
2410C22⋊C4—534no—
2411C22⋊C4—534no—
2412C22⋊C4—532no—
2413C22⋊C4—534no—
2414C22⋊C4—534no—
2415C22⋊C4—532no—
2416C22⋊C4—532no—
2417C22⋊C4—534no—
2418C22⋊C4—534no—
2419C22⋊C4—532no—
2420C22⋊C4—532no—
2421C22⋊C4—532no—
2422C22⋊C4—532no—
2423C22⋊C4C23×D5312yes—
2424C22⋊C4C23×D5312yes—
2425C22⋊C4C23×D5312yes—
2426C22⋊C4C23×D5312yes—
2427C22⋊C4C23×D5314yes—
2428C22⋊C4C23×D5314yes—
2429C22⋊C4C23×D5312yes—
2430C22⋊C4C23×D5314yes—
2431C22⋊C4C23×D5312yes—
2432C22⋊C4C23×D5314yes—
2433C22⋊C4C23×D5312yes—
2434C22⋊C4C23×D5314yes—
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—531no—
2467C23—531no—
2468C23—534no—
2469C23—532no—
2470C23—532no—
2471C23—1064no—
2472C23—1068no—
2473C23—1062no—
2474C23—1062no—
2475C23—2124no—
2476C23—2124no—
2477C23—2124no—
2478C23—2124no—
2479C23—2124no—
2480C23—2124no—
2481C23—2124no—
2482C23—2122no—
2483C23—2122no—
2484C23—2124no—
2485C23—2121no—
2486C23C24×D5312yes—
2487C23C24×D5312yes—
2488C23C24×D5311yescharacteristic
2489C23C24×D5314yes—
2490Q8—22no—
2491Q8—24no—
2492Q8—22no—
2493Q8—1064no—
2494Q8—1064no—
2495Q8—1062no—
2496Q8—1064no—
2497Q8—1062no—
2498Q8—2124no—
2499Q8—2124no—
2500Q8—2124no—
2501Q8—2122no—
2502D4—22no—
2503D4—24no—
2504D4—22no—
2505D4—24no—
2506D4—44no—
2507D4—42no—
2508D4—44no—
2509D4—42no—
2510D4—44no—
2511D4—44no—
2512D4—42no—
2513D4—44no—
2514D4—44no—
2515D4—1064no—
2516D4—1068no—
2517D4—1064no—
2518D4—1064no—
2519D4—1064no—
2520D4—1064no—
2521D4—1064no—
2522D4—1064no—
2523D4—1064no—
2524D4—1068no—
2525D4—1062no—
2526D4—1064no—
2527D4—1064no—
2528D4—1062no—
2529D4—2122no—
2530D4—2124no—
2531D4—2124no—
2532D4—2124no—
2533D4—2124no—
2534D4—2122no—
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—44no—
2556C2×C4—42no—
2557C2×C4—531no—
2558C2×C4—534no—
2559C2×C4—531no—
2560C2×C4—531no—
2561C2×C4—532no—
2562C2×C4—532no—
2563C2×C4—531no—
2564C2×C4—532no—
2565C2×C4—531no—
2566C2×C4—531no—
2567C2×C4—532no—
2568C2×C4—534no—
2569C2×C4—532no—
2570C2×C4—532no—
2571C2×C4—1062no—
2572C2×C4—1068no—
2573C2×C4—1062no—
2574C2×C4—1062no—
2575C2×C4—1062no—
2576C2×C4—1064no—
2577C2×C4—1062no—
2578C2×C4—1068no—
2579C2×C4—1062no—
2580C2×C4—1064no—
2581C2×C4—1062no—
2582C2×C4—1062no—
2583C2×C4—1064no—
2584C2×C4—2121no—
2585C2×C4—2121no—
2586C2×C4—2121no—
2587C2×C4—2121no—
2588C2×C4—2122no—
2589C2×C4—2122no—
2590C2×C4—2124no—
2591C2×C4—2124no—
2592C2×C4—2124no—
2593C2×C4—2122no—
2594C2×C4—2124no—
2595C2×C4—2124no—
2596C2×C4—2124no—
2597C2×C4—2122no—
2598C2×C4—2122no—
2599C2×C4—2121no—
2600C2×C4—2122no—
2601C2×C4—2121no—
2602C2×C4—2124no—
2603C2×C4—2124no—
2604C2×C4—2124no—
2605C2×C4C24×D5311yescharacteristic
2606C2×C4C24×D5311yescharacteristic
2607C2×C4C24×D5312yes—
2608C2×C4C24×D5311yescharacteristic
2609C2×C4C24×D5311yescharacteristic
2610C2×C4C24×D5312yes—
2611C2×C4C24×D5312yes—
2612C2×C4C24×D5312yes—
2613C2×C4C24×D5314yes—
2614C2×C4C24×D5312yes—
2615C2×C4C24×D5312yes—
2616C2×C4C24×D5311yescharacteristic
2617C2×C4C24×D5311yescharacteristic
2618C22—21no—
2619C22—22no—
2620C22—24no—
2621C22—22no—
2622C22—21no—
2623C22—22no—
2624C22—22no—
2625C22—24no—
2626C22—21no—
2627C22—22no—
2628C22—24no—
2629C22—22no—
2630C22—532no—
2631C22—532no—
2632C22—8484no—
2633C22—8484no—
2634C22—1061no—
2635C22—1061no—
2636C22—1061no—
2637C22—1061no—
2638C22—1062no—
2639C22—1064no—
2640C22—1062no—
2641C22—1064no—
2642C22—1062no—
2643C22—1062no—
2644C22—1062no—
2645C22—1062no—
2646C22—1064no—
2647C22—4244no—
2648C22—4248no—
2649C22—2124no—
2650C22C25×D5311yescharacteristic
2651C4—21no—
2652C4—22no—
2653C4—24no—
2654C4—22no—
2655C4—21no—
2656C4—21no—
2657C4—22no—
2658C4—22no—
2659C4—21no—
2660C4—22no—
2661C4—22no—
2662C4—532no—
2663C4—1061no—
2664C4—1062no—
2665C4—1064no—
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—2124no—
2684C2—2122no—
2685C2—2122no—
2686C2C2×H(5,𝔽2)×D5311yescharacteristic
2687C2#585×D5311yescharacteristic
2688C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3517C2
hypercenter#3517D53
hypocenterC53#62830
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3517

Complements

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

NH ≅ G/Ntype
1. #20289308C2semidirect
2. #20289289C2semidirect
3. #20289254C2semidirect
4. #20289161C2semidirect
5. #20289153C2semidirect
6. #20289136C2semidirect
7. #20289099C2semidirect
8. #20289074C2semidirect
9. #20289039C2semidirect
10. #20289039C2semidirect
11. #20288898C2semidirect
12. #20288754C2semidirect
13. #20288746C2semidirect
14. #20288745C2semidirect
15. #20288740C2semidirect
16. #20288713C2semidirect
17. #20288678C2semidirect
18. #20288676C2semidirect
19. #20288671C2semidirect
20. #20288664C2semidirect
21. #20288630C2semidirect
22. #20288581C2semidirect
23. #20288559C2semidirect
24. #20288548C2semidirect
25. #20288502C2semidirect
26. #20288480C2semidirect
27. #20288473C2semidirect
28. #20288451C2semidirect
29. #20288442C2semidirect
30. #20288389C2semidirect
31. #20288383C2semidirect
32. #20288008C2semidirect
33. #532×D53C2semidirect
34. #529×D53C2semidirect
35. C53×#3517C2semidirect
36. C2×#13133264C22semidirect
37. C2×#13133263C22semidirect
38. C2×#41×D53C22semidirect
39. #16811377C22semidirect
40. #16811376C22semidirect
41. #16811370C22semidirect
42. #16811368C22semidirect
43. #16811361C22semidirect
44. #16811361C22semidirect
45. #16811361C22semidirect
46. #16811360C22semidirect
47. #16811359C22semidirect
48. #16811358C22semidirect
49. #16811358C22semidirect
50. #16811356C22semidirect
51. #16811348C22semidirect
52. #16811347C22semidirect
53. #16811346C22semidirect
54. #16811345C22semidirect
55. #16811345C22semidirect
56. #16811343C22semidirect
57. #16811338C22semidirect
58. #16811337C22semidirect
59. #16811337C22semidirect
60. #16811336C22semidirect
61. #16811336C22semidirect
62. #16811333C22semidirect
63. #16811329C22semidirect
64. #16811328C22semidirect
65. #16811326C22semidirect
66. #16811324C22semidirect
67. #16811323C22semidirect
68. #16811322C22semidirect
69. #16811322C22semidirect
70. #16811321C22semidirect
71. #16811320C22semidirect
72. #16811320C22semidirect
73. #16811318C22semidirect
74. #16811318C22semidirect
75. #16811317C22semidirect
76. #16811316C22semidirect
77. #16811316C22semidirect
78. #16811309C22semidirect
79. #16811306C22semidirect
80. #16811305C22semidirect
81. #16811302C22semidirect
82. #16811302C22semidirect
83. #16811302C22semidirect
84. #16811301C22semidirect
85. #16811298C22semidirect
86. #16811297C22semidirect
87. #16811297C22semidirect
88. #16811296C22semidirect
89. #16811293C22semidirect
90. #16811293C22semidirect
91. #16811293C22semidirect
92. #16811292C22semidirect
93. #16811291C22semidirect
94. Q8×D212C22semidirect
95. D4×Dic106C22semidirect
96. D4×Dic106C22semidirect
97. #16811288C22semidirect
98. #16811286C22semidirect
99. #16811285C22semidirect
100. #16811283C22semidirect
101. #16811282C22semidirect
102. #16811282C22semidirect
103. #16811282C22semidirect
104. #16811280C22semidirect
105. #16811280C22semidirect
106. #16811279C22semidirect
107. #16811279C22semidirect
108. #16811276C22semidirect
109. #16811274C22semidirect
110. #16811274C22semidirect
111. #16811272C22semidirect
112. #16811272C22semidirect
113. #16811271C22semidirect
114. #16811270C22semidirect
115. #16811270C22semidirect
116. #16811270C22semidirect
117. #16811269C22semidirect
118. #16811269C22semidirect
119. #16811269C22semidirect
120. #16811269C22semidirect
121. #16811269C22semidirect
122. #16811268C22semidirect
123. #16811268C22semidirect
124. #16811265C22semidirect
125. #16811265C22semidirect
126. #16811265C22semidirect
127. #16811264C22semidirect
128. #16811262C22semidirect
129. #16811262C22semidirect
130. #16811262C22semidirect
131. #16811262C22semidirect
132. #16811262C22semidirect
133. #16811261C22semidirect
134. #16811261C22semidirect
135. #16811261C22semidirect
136. #16811261C22semidirect
137. D4×D212C22semidirect
138. D4×D212C22semidirect
139. #16811258C22semidirect
140. #16811258C22semidirect
141. #16811258C22semidirect
142. #16811257C22semidirect
143. #16811257C22semidirect
144. #16811257C22semidirect
145. #16811257C22semidirect
146. #16811254C22semidirect
147. #16811253C22semidirect
148. #16811245C22semidirect
149. #16811245C22semidirect
150. #16811244C22semidirect
151. #16811240C22semidirect
152. #16811239C22semidirect
153. #16811238C22semidirect
154. #16811233C22semidirect
155. #16811231C22semidirect
156. #16811227C22semidirect
157. #16811226C22semidirect
158. #16811226C22semidirect
159. #16811225C22semidirect
160. #16811224C22semidirect
161. #16811224C22semidirect
162. #16811224C22semidirect
163. #16811223C22semidirect
164. #16811221C22semidirect
165. #16811221C22semidirect
166. #16811220C22semidirect
167. #16811216C22semidirect
168. #16811215C22semidirect
169. #16811212C22semidirect
170. #16811210C22semidirect
171. #16811209C22semidirect
172. #16811209C22semidirect
173. #16811206C22semidirect
174. #16811206C22semidirect
175. #16811205C22semidirect
176. #16811205C22semidirect
177. #16811205C22semidirect
178. #16811205C22semidirect
179. #16811205C22semidirect
180. #16811203C22semidirect
181. #16811202C22semidirect
182. #16811202C22semidirect
183. #16811202C22semidirect
184. #16811200C22semidirect
185. #16811198C22semidirect
186. #16811198C22semidirect
187. #16811195C22semidirect
188. #16811194C22semidirect
189. #16811187C22semidirect
190. #16811187C22semidirect
191. #16811186C22semidirect
192. #16811186C22semidirect
193. #16811186C22semidirect
194. #16811186C22semidirect
195. #16811184C22semidirect
196. #16811181C22semidirect
197. #16811181C22semidirect
198. #16811177C22semidirect
199. #16811177C22semidirect
200. #16811176C22semidirect
202. #16811173C22semidirect
203. #16811172C22semidirect
204. #16811172C22semidirect
205. #16811171C22semidirect
206. #16811171C22semidirect
207. #16811170C22semidirect
208. #16811170C22semidirect
209. #16811170C22semidirect
210. #16811170C22semidirect
211. #16811170C22semidirect
212. #16811169C22semidirect
213. #16811169C22semidirect
214. #16811168C22semidirect
215. #16811168C22semidirect
216. C4⋊Q8×D53C22semidirect
217. #127×D53C22semidirect
218. #16811160C22semidirect
219. #16811160C22semidirect
220. #16811160C22semidirect
221. #16811160C22semidirect
222. #16811159C22semidirect
223. #16811158C22semidirect
224. #16811158C22semidirect
225. #16811158C22semidirect
226. #16811157C22semidirect
227. #16811157C22semidirect
228. #16811156C22semidirect
229. #16811155C22semidirect
230. #16811155C22semidirect
231. #16811155C22semidirect
232. #16811154C22semidirect
233. #16811153C22semidirect
234. #16811153C22semidirect
235. #16811153C22semidirect
236. #16811152C22semidirect
237. #16811152C22semidirect
238. #16811151C22semidirect
239. #16811151C22semidirect
240. #16811151C22semidirect
241. #16811150C22semidirect
242. #126×D53C22semidirect
243. #125×D53C22semidirect
244. C2×#13133205C22semidirect
245. #124×D53C22semidirect
246. #124×D53C22semidirect
247. #124×D53C22semidirect
248. #16811135C22semidirect
249. #16811133C22semidirect
250. #16811132C22semidirect
251. #16811132C22semidirect
252. #16811132C22semidirect
253. #16811131C22semidirect
254. #16811130C22semidirect
255. #16811130C22semidirect
256. #123×D53C22semidirect
257. C2×#13133195C22semidirect
258. C22⋊Q8×D53C22semidirect
259. C2×#13133192C22semidirect
261. #121×D53C22semidirect
262. #121×D53C22semidirect
263. #121×D53C22semidirect
264. #121×D53C22semidirect
265. #16811105C22semidirect
266. #16811102C22semidirect
267. #16811102C22semidirect
268. #16811097C22semidirect
269. #16811095C22semidirect
270. #16811095C22semidirect
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×#557C22semidirect
283. C53×#553C22semidirect
284. C53×#553C22semidirect
285. C53×#550C22semidirect
286. C53×#550C22semidirect
287. C53×#550C22semidirect
288. C53×#550C22semidirect
289. C53×#547C22semidirect
290. C53×#547C22semidirect
291. C53×#540C22semidirect
292. C53×#540C22semidirect
293. C53×#532C22semidirect
294. C53×#532C22semidirect
295. C53×#529C22semidirect
296. C53×#529C22semidirect
297. C53×#520C22semidirect
298. C4×#41×C53C22semidirect
1349. #3517D53semidirect
1396. #557C2×D53semidirect
1423. #553C2×D53semidirect
1424. #553C2×D53semidirect
1441. #550C2×D53semidirect
1442. #550C2×D53semidirect
1443. #550C2×D53semidirect
1444. #550C2×D53semidirect
1465. #547C2×D53semidirect
1466. #547C2×D53semidirect
1517. #540C2×D53semidirect
1518. #540C2×D53semidirect
1571. #532C2×D53semidirect
1572. #532C2×D53semidirect
1599. #529C2×D53semidirect
1600. #529C2×D53semidirect
1627. #520C2×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
#202893082
#202892892
#202892542
#202891612
#202891532
#202891362
#202890992
#202890742
#202890392
#202888982
#202887542
#202887462
#202887452
#202887402
#202887132
#202886782
#202886762
#202886712
#202886642
#202886302
#202885812
#202885592
#202885482
#202885022
#202884802
#202884732
#202884512
#202884422
#202883892
#202883832
#202880082
#532×D532
#529×D532
C53×#35172
#6283053