Finite Group Databasebeta

← #28292986

Subgroups — #28292986

Order 13568.

7900 conjugacy classes of subgroups.

The subgroup lattice has 2850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289232C212yesmaximal, complemented
2#20289229C212yesmaximal, complemented
3#20289225C214yesmaximal, complemented
4#20289118C212yesmaximal, complemented
5#20289110C212yesmaximal, complemented
6#20289085C212yesmaximal, complemented
7#20289082C212yesmaximal, complemented
8#20289077C212yesmaximal, complemented
9#20289074C212yesmaximal, complemented
10#20288945C214yesmaximal, complemented
11#20288741C212yesmaximal, complemented
12#20288736C214yesmaximal, complemented
13#20288735C212yesmaximal, complemented
14#20288624C211yesmaximal, characteristic, complemented
15#20288621C212yesmaximal, complemented
16#20288618C211yesmaximal, characteristic, complemented
17#20288585C212yesmaximal, complemented
18#20288583C212yesmaximal, complemented
19#20288566C211yesmaximal, characteristic, complemented
20#20288560C211yesmaximal, characteristic, complemented
21#20288558C212yesmaximal, complemented
22#20288490C211yesmaximal, characteristic, complemented
23#20288489C211yesmaximal, characteristic, complemented
24#20288487C212yesmaximal, complemented
25#20288478C211yesmaximal, characteristic, complemented
26#20288474C211yesmaximal, characteristic, complemented
27#20288472C212yesmaximal, complemented
28#20288384C211yesmaximal, characteristic, complemented
29#20288380C211yesmaximal, characteristic, complemented
30#20288376C211yesmaximal, characteristic, complemented
31#20288375C214yesmaximal, complemented
32#20288007C211yesmaximal, characteristic, complemented
33C2×#16811169C211yesmaximal, characteristic, complemented
34C2×#16811168C211yesmaximal, characteristic, complemented
35C53×#3488C211yesmaximal, characteristic, complemented
36C2×#13133263C2211yescharacteristic, complemented
37C2×#13133263C2211yescharacteristic, complemented
38C2×#13133262C2214yescomplemented
39C2×#13133262C2211yescharacteristic, complemented
40C22×#11719945C2211yescharacteristic, complemented
41C22×#11719947C2212yescomplemented
42#16811369C2214yescomplemented
43#16811368C2214yescomplemented
44#16811366C2214yescomplemented
45#16811365C2214yescomplemented
46#16811362C2214yescomplemented
47#16811361C2214yescomplemented
48#16811361C2214yescomplemented
49#16811360C2214yescomplemented
50#16811359C2212yescomplemented
51#16811358C2212yescomplemented
52#16811357C2214yescomplemented
53#16811356C2214yescomplemented
54#16811356C2212yescomplemented
55#16811355C2212yescomplemented
56#16811345C2212yescomplemented
57#16811344C2212yescomplemented
58#16811342C2212yescomplemented
59#16811341C2212yescomplemented
60#16811337C2212yescomplemented
61#16811337C2212yescomplemented
62#16811336C2212yescomplemented
63#16811336C2212yescomplemented
64#16811335C2214yescomplemented
65#16811331C2212yescomplemented
66#16811328C2212yescomplemented
67#16811327C2214yescomplemented
68#16811325C2212yescomplemented
69#16811322C2214yescomplemented
70#16811322C2214yescomplemented
71#16811322C2214yescomplemented
72#16811321C2212yescomplemented
73#16811320C2212yescomplemented
74#16811318C2214yescomplemented
75#16811317C2212yescomplemented
76#16811316C2214yescomplemented
77#16811316C2214yescomplemented
78#16811294C2212yescomplemented
79#16811294C2212yescomplemented
80#16811293C2212yescomplemented
81#16811293C2214yescomplemented
82#16811292C2212yescomplemented
83#16811292C2212yescomplemented
84#16811292C2212yescomplemented
85#16811291C2212yescomplemented
86#16811291C2212yescomplemented
87#16811291C2214yescomplemented
88#16811291C2214yescomplemented
89#16811291C2212yescomplemented
90#16811284C2212yescomplemented
91#16811282C2214yescomplemented
92#16811282C2212yescomplemented
93#16811279C2212yescomplemented
94#16811279C2214yescomplemented
95#16811275C2212yescomplemented
96#16811275C2212yescomplemented
97#16811274C2212yescomplemented
98#16811274C2212yescomplemented
99#16811273C2212yescomplemented
100#16811273C2212yescomplemented
101#16811272C2212yescomplemented
102#16811272C2212yescomplemented
103#16811270C2212yescomplemented
104#16811270C2212yescomplemented
105#16811270C2212yescomplemented
106#16811269C2212yescomplemented
107#16811268C2214yescomplemented
108#16811267C2212yescomplemented
109#16811267C2212yescomplemented
110#16811267C2214yescomplemented
111#16811265C2214yescomplemented
112#16811264C2212yescomplemented
113#16811264C2212yescomplemented
114#16811263C2214yescomplemented
115#16811263C2214yescomplemented
116#16811263C2214yescomplemented
117#16811262C2214yescomplemented
118#16811262C2214yescomplemented
119#16811262C2214yescomplemented
120#16811262C2214yescomplemented
121#16811261C2212yescomplemented
122#16811261C2212yescomplemented
123#16811261C2212yescomplemented
124#16811261C2214yescomplemented
125#16811260C2214yescomplemented
126#16811260C2214yescomplemented
127D4×D212C2212yescomplemented
128#16811257C2212yescomplemented
129#16811257C2212yescomplemented
130#16811257C2212yescomplemented
131#16811257C2212yescomplemented
132#16811257C2212yescomplemented
133D4×C22⋊D53C2212yescomplemented
134D4×C22⋊D53C2212yescomplemented
135D4×C22⋊D53C2212yescomplemented
136D4×C22⋊D53C2212yescomplemented
137D4×C22⋊D53C2214yescomplemented
138D4×C22⋊D53C2214yescomplemented
139D4×C22⋊D53C2214yescomplemented
140D4×C22⋊D53C2212yescomplemented
141D4×C22⋊D53C2214yescomplemented
142D4×C22⋊D53C2214yescomplemented
143#16811255C2214yescomplemented
144#16811255C2214yescomplemented
145#16811255C2214yescomplemented
146#16811255C2214yescomplemented
147#16811255C2214yescomplemented
148#16811246C2212yescomplemented
149#16811245C2212yescomplemented
150#16811243C2214yescomplemented
151#16811240C2212yescomplemented
152#16811238C2212yescomplemented
153#16811237C2214yescomplemented
154#16811225C2214yescomplemented
155#16811223C2214yescomplemented
156#16811223C2214yescomplemented
157#16811223C2214yescomplemented
158#16811213C2214yescomplemented
159#16811211C2214yescomplemented
160#16811209C2214yescomplemented
161#16811208C2214yescomplemented
162#16811208C2214yescomplemented
163#16811208C2214yescomplemented
164#16811207C2214yescomplemented
165#16811206C2214yescomplemented
166#16811206C2214yescomplemented
167#16811206C2214yescomplemented
168#16811205C2214yescomplemented
169#16811205C2214yescomplemented
170#16811204C2211yescharacteristic, complemented
171#16811203C2212yescomplemented
172#16811202C2214yescomplemented
173#16811202C2212yescomplemented
174#16811201C2212yescomplemented
175#16811201C2211yescharacteristic, complemented
176#16811201C2211yescharacteristic, complemented
177#16811200C2214yescomplemented
178#16811200C2214yescomplemented
179#16811192C2211yescharacteristic, complemented
180#16811191C2212yescomplemented
181#16811190C2211yescharacteristic, complemented
182#16811190C2212yescomplemented
183#16811189C2212yescomplemented
184#16811189C2214yescomplemented
185#16811189C2212yescomplemented
186#16811188C2214yescomplemented
187#16811188C2214yescomplemented
188#16811188C2214yescomplemented
189#16811188C2214yescomplemented
190#16811187C2211yescharacteristic, complemented
191#16811187C2212yescomplemented
192#16811187C2212yescomplemented
193#16811186C2214yescomplemented
194#16811186C2212yescomplemented
195#16811186C2214yescomplemented
196#16811182C2214yescomplemented
197#16811182C2214yescomplemented
198#16811181C2214yescomplemented
199#16811181C2214yescomplemented
200#16811177C2212yescomplemented
201#16811176C2211yescharacteristic, complemented
202#16811175C2211yescharacteristic, complemented
203#16811175C2211yescharacteristic, complemented
204#16811175C2212yescomplemented
205#16811172C2212yescomplemented
206#16811170C2212yescomplemented
207#16811169C2211yescharacteristic, complemented
208#16811169C2211yescharacteristic, complemented
209#16811169C2211yescharacteristic, complemented
210#16811169C2212yescomplemented
211#16811169C2211yescharacteristic, complemented
212#16811169C2211yescharacteristic, complemented
213#16811169C2211yescharacteristic, complemented
214#16811169C2211yescharacteristic, complemented
215#16811169C2212yescomplemented
216#16811169C2212yescomplemented
217#16811169C2211yescharacteristic, complemented
218#16811169C2211yescharacteristic, complemented
219#16811169C2212yescomplemented
220#16811169C2212yescomplemented
221#16811168C2211yescharacteristic, complemented
222#16811168C2211yescharacteristic, complemented
223#16811168C2212yescomplemented
224#16811168C2212yescomplemented
225#16811168C2212yescomplemented
226#16811168C2212yescomplemented
227#16811168C2212yescomplemented
228#16811168C2212yescomplemented
229#16811168C2212yescomplemented
230#16811168C2212yescomplemented
231#16811168C2212yescomplemented
232C2×#13133216C2211yescharacteristic, complemented
233C2×#13133215C2211yescharacteristic, complemented
234C2×#13133213C2212yescomplemented
235C2×#13133213C2211yescharacteristic, complemented
236C2×#13133213C2211yescharacteristic, complemented
237#127×D53C2212yescomplemented
238#16811159C2211yescharacteristic, complemented
239#16811159C2211yescharacteristic, complemented
240#16811154C2211yescharacteristic, complemented
241#16811154C2211yescharacteristic, complemented
242#16811153C2212yescomplemented
243#16811153C2212yescomplemented
244#16811150C2212yescomplemented
245#16811150C2212yescomplemented
246C2×#13133206C2211yescharacteristic, complemented
247C2×#13133204C2211yescharacteristic, complemented
248C2×#13133203C2212yescomplemented
249#16811136C2212yescomplemented
250#16811134C2211yescharacteristic, complemented
251#16811134C2212yescomplemented
252#16811133C2212yescomplemented
253#16811132C2214yescomplemented
254#16811129C2212yescomplemented
255#16811129C2212yescomplemented
256#16811129C2214yescomplemented
257C2×#13133191C2211yescharacteristic, complemented
258C2×#13133191C2212yescomplemented
259C2×#13133189C2212yescomplemented
260C2×#13133189C2214yescomplemented
261C2×#13133189C2212yescomplemented
262C2×#13133189C2212yescomplemented
263#121×D53C2214yescomplemented
264#121×D53C2212yescomplemented
265#121×D53C2212yescomplemented
266#16811106C2211yescharacteristic, complemented
267#16811104C2211yescharacteristic, complemented
268#16811103C2211yescharacteristic, complemented
269#16811102C2214yescomplemented
270#16811096C2214yescomplemented
271#16811095C2214yescomplemented
272#41×Dic53C2211yescharacteristic, complemented
273#16811091C2211yescharacteristic, complemented
274C4×#11719947C2212yescomplemented
275C4×#11719947C2212yescomplemented
276C2×D4×Dic53C2211yescharacteristic, complemented
277C2×#13133179C2211yescharacteristic, complemented
278C2×C4×C22⋊D53C2212yescomplemented
279C2×C4×C22⋊D53C2212yescomplemented
280C2×#13133177C2212yescomplemented
281C22×C4×Dic53C2211yescharacteristic, complemented
282C2×H(5,𝔽2)×C53C2211yescharacteristic, complemented
283C22×#41×C53C2211yescharacteristic, complemented
284C53×#550C2212yescomplemented
285C53×#548C2212yescomplemented
286C53×#546C2212yescomplemented
287C53×#546C2214yescomplemented
288D42×C53C2214yescomplemented
289D42×C53C2212yescomplemented
290C53×#537C2212yescomplemented
291C53×#537C2211yescharacteristic, complemented
292C53×#535C2211yescharacteristic, complemented
293C53×#535C2212yescomplemented
294C53×#525C2211yescharacteristic, complemented
295C53×#525C2212yescomplemented
296C2×#121×C53C2211yescharacteristic, complemented
297C2×#121×C53C2212yescomplemented
298C53×#520C2211yescharacteristic, complemented
299#13133263—44no—
300#13133263—44no—
301#13133262—44no—
302#13133262—416no—
303C2×#11719949C2312yes—
304C2×#11719949C2312yes—
305C2×#11719945—44no—
306C2×#11719945C2311yescharacteristic
307C2×#11719945C2311yescharacteristic
308C2×#11719945C2311yescharacteristic
309C2×#11719945C2312yes—
310C2×#11719945C2311yescharacteristic
311C2×#11719945C2311yescharacteristic
312C2×#11719945C2312yes—
313C2×#11719945C2312yes—
314C2×#11719945C2314yes—
315C2×#11719945C2314yes—
316C2×#11719945C2312yes—
317C2×#11719947—48no—
318C2×#11719947C2312yes—
319C2×#11719947C2314yes—
320C2×#11719947C2314yes—
321C2×#11719947C2312yes—
322C2×#11719947C2312yes—
323C2×#11719947C2314yes—
324C2×#11719947C2314yes—
325C2×#11719947C2314yes—
326C2×#11719947C2312yes—
327C2×#11719947C2314yes—
328C22×Dic106C2312yes—
329C22×Dic106C2311yescharacteristic
330C22×D212C2311yescharacteristic
331C22×D212C2312yes—
332C22×D212C2312yes—
333C22×D212C2311yescharacteristic
334C22×C22⋊D53C2312yes—
335C22×C22⋊D53C2312yes—
336C22×C22⋊D53C2312yes—
337C22×C22⋊D53C2314yes—
338C22×C22⋊D53C2312yes—
339C22×C22⋊D53C2312yes—
340C22×C22⋊D53C2314yes—
341C22×C22⋊D53C2314yes—
342C22×C22⋊D53C2314yes—
343C22×C22⋊D53C2312yes—
344C22×C22⋊D53C2314yes—
345C2×D4×D53C2314yes—
346C2×D4×D53C2314yes—
347C2×D4×D53C2312yes—
348C2×D4×D53C2312yes—
349C2×D4×D53C2312yes—
350C2×D4×D53C2314yes—
351C2×D4×D53C2314yes—
352C2×D4×D53C2314yes—
353C2×D4×D53C2314yes—
354C2×D4×D53C2312yes—
355C2×D4×D53C2314yes—
356C23×Dic53C2311yescharacteristic
357C23×Dic53C2311yescharacteristic
358C23×Dic53C2312yes—
359C22×C4×D53C2312yes—
360C22×C4×D53C2312yes—
361#13133216C2311yescharacteristic
362#13133216C2312yes—
363#13133216C2312yes—
364#13133216C2311yescharacteristic
365#13133216C2312yes—
366#13133216C2312yes—
367#13133215C2311yescharacteristic
368#13133215C2311yescharacteristic
369#13133215C2311yescharacteristic
370#13133215C2312yes—
371#13133215C2311yescharacteristic
372#13133215C2311yescharacteristic
373#13133215C2312yes—
374#13133214C2312yes—
375#13133213C2314yes—
376#13133213C2314yes—
377#13133213C2312yes—
378#13133213C2314yes—
379#13133213C2314yes—
380#13133213C2312yes—
381#13133213C2312yes—
382#13133213C2314yes—
383#13133213C2312yes—
384#13133213C2314yes—
385#13133213C2312yes—
386#13133213C2311yescharacteristic
387#13133213C2314yes—
388#13133213C2311yescharacteristic
389#13133213C2311yescharacteristic
390#13133213C2312yes—
391#13133213C2311yescharacteristic
392#13133213C2312yes—
393#13133213C2312yes—
394#13133213C2311yescharacteristic
395#13133212C2314yes—
396#13133212C2314yes—
397#13133212C2312yes—
398#13133212C2312yes—
399#13133211C2314yes—
400#13133211C2314yes—
401#13133210C2314yes—
402#13133210C2314yes—
403#13133210C2314yes—
404#13133210C2314yes—
405#13133210C2312yes—
406#13133210C2312yes—
407#13133208C2311yescharacteristic
408#13133208C2311yescharacteristic
409#13133207C2314yes—
410#13133207C2314yes—
411#13133207C2312yes—
412#13133207C2312yes—
413#13133206C2311yescharacteristic
414#13133206C2311yescharacteristic
415#13133206C2314yes—
416#13133206C2312yes—
417#13133206C2311yescharacteristic
418#13133206C2312yes—
419#13133206C2311yescharacteristic
420#13133206C2311yescharacteristic
421#13133206C2312yes—
422#13133205C2314yes—
423#13133205C2312yes—
424#13133205C2314yes—
425#13133204C2311yescharacteristic
426#13133204C2311yescharacteristic
427#13133204C2314yes—
428#13133204C2311yescharacteristic
429#13133204C2312yes—
430#13133204C2314yes—
431#13133204C2312yes—
432#13133204C2311yescharacteristic
433#13133204C2311yescharacteristic
434#13133204C2312yes—
435#13133203C2314yes—
436#13133203C2314yes—
437#13133203C2314yes—
438#13133203C2314yes—
439#13133203C2314yes—
440#13133203C2314yes—
441#13133203C2314yes—
442#13133203C2314yes—
443#13133203C2314yes—
444#13133203C2312yes—
445#13133203C2314yes—
446#13133203C2314yes—
447#13133203C2314yes—
448#13133203C2312yes—
449#13133202C2314yes—
450#13133202C2314yes—
451#13133202C2314yes—
452#13133202C2314yes—
453#13133202C2314yes—
454#13133202C2314yes—
455#13133201C2312yes—
456#13133201C2314yes—
457#13133201C2312yes—
458#13133200C2314yes—
459#13133200C2314yes—
460#13133200C2314yes—
461#13133200C2314yes—
462#13133200C2314yes—
463#13133200C2312yes—
464#13133199C2314yes—
465#13133199C2314yes—
466#13133199C2314yes—
467#13133199C2314yes—
468#13133199C2314yes—
469#13133199C2314yes—
470#13133198C2312yes—
471#13133198C2314yes—
472#13133198C2314yes—
473#13133198C2314yes—
474#13133198C2314yes—
475#13133198C2314yes—
476#13133198C2312yes—
477#13133197C2314yes—
478#13133197C2312yes—
479#13133197C2312yes—
480#13133196C2312yes—
481#13133196C2312yes—
482#13133196C2314yes—
483#13133196C2311yescharacteristic
484#13133196C2311yescharacteristic
485#13133195C2314yes—
486#13133195C2314yes—
487#13133195C2314yes—
488#13133195C2314yes—
489#13133194C2314yes—
490#13133194C2314yes—
491#13133194C2314yes—
492#13133194C2314yes—
493#13133194C2312yes—
494#13133194C2312yes—
495#13133194C2312yes—
496#13133194C2312yes—
497#13133193C2312yes—
498#13133193C2312yes—
499#13133193C2314yes—
500#13133192C2314yes—
501#13133192C2312yes—
502#13133192C2312yes—
503#13133192C2314yes—
504#13133192C2312yes—
505#13133192C2312yes—
506#13133191C2314yes—
507#13133191C2314yes—
508#13133191C2312yes—
509#13133191C2312yes—
510#13133191C2312yes—
511#13133191C2312yes—
512#13133191C2314yes—
513#13133191C2312yes—
514#13133191C2314yes—
515#13133191C2314yes—
516#13133191C2314yes—
517#13133191C2312yes—
518#13133191C2311yescharacteristic
519#13133191C2312yes—
520#13133191C2312yes—
521#13133191C2311yescharacteristic
522#13133190C2314yes—
523#13133190C2314yes—
524#13133190C2314yes—
525#13133190C2314yes—
526#13133190C2314yes—
527#13133190C2314yes—
528#13133190C2314yes—
529#13133190C2314yes—
530#13133190C2314yes—
531#13133190C2314yes—
532#13133190C2314yes—
533#13133190C2314yes—
534#13133190C2314yes—
535#13133190C2314yes—
536#13133189C2314yes—
537#13133189C2314yes—
538#13133189C2314yes—
539#13133189C2314yes—
540#13133189C2314yes—
541#13133189C2314yes—
542#13133189C2314yes—
543#13133189C2312yes—
544#13133189C2314yes—
545#13133189C2312yes—
546#13133189C2314yes—
547#13133189C2312yes—
548#13133189C2314yes—
549#13133189C2314yes—
550#13133189C2314yes—
551#13133189C2312yes—
552#13133189C2314yes—
553#13133189C2314yes—
554#13133189C2314yes—
555#13133189C2314yes—
556#13133189C2312yes—
557#13133189C2314yes—
558#13133189C2314yes—
559#13133189C2314yes—
560#13133189C2312yes—
561#13133189C2312yes—
562#13133189C2314yes—
563#13133189C2312yes—
564#13133189C2312yes—
565#13133189C2312yes—
566#13133189C2312yes—
567#13133189C2314yes—
568#13133189C2314yes—
569#13133189C2312yes—
570#13133189C2312yes—
571#13133189C2312yes—
572#13133189C2312yes—
573#13133189C2312yes—
574#13133189C2312yes—
575#13133189C2312yes—
576#13133189C2312yes—
577#13133189C2312yes—
578#13133188C2314yes—
579#13133188C2312yes—
580#13133188C2312yes—
581#13133188C2314yes—
582#13133188C2312yes—
583#13133188C2314yes—
584#13133188C2312yes—
585#13133188C2314yes—
586#13133188C2314yes—
587#13133188C2314yes—
588#13133187C2314yes—
589#13133187C2314yes—
590#13133187C2314yes—
591#13133187C2314yes—
592#13133187C2314yes—
593#13133187C2314yes—
594#13133187C2314yes—
595#13133187C2314yes—
596#13133186C2314yes—
597#13133186C2314yes—
598#13133186C2314yes—
599#13133186C2314yes—
600#13133186C2314yes—
601#13133186C2312yes—
602#13133186C2314yes—
603#13133185C2314yes—
604#13133185C2314yes—
605#13133185C2314yes—
606#13133185C2314yes—
607#13133185C2314yes—
608#13133185C2314yes—
609#13133185C2314yes—
610#13133185C2314yes—
611#13133185C2314yes—
612#13133185C2314yes—
613#13133185C2314yes—
614#13133185C2314yes—
615#13133185C2314yes—
616#13133185C2314yes—
617Q8×Dic53C2312yes—
618Q8×Dic53C2311yescharacteristic
619Q8×Dic53C2311yescharacteristic
620C4×Dic106C2314yes—
621C4×Dic106C2312yes—
622C4×Dic106C2312yes—
623C4×Dic106C2312yes—
624#13133182C2314yes—
625#13133182C2312yes—
626#13133182C2312yes—
627#13133182C2311yescharacteristic
628#13133182C2311yescharacteristic
629#13133182C2312yes—
630C4×D212C2314yes—
631C4×D212C2312yes—
632D4×Dic53C2314yes—
633D4×Dic53C2312yes—
634D4×Dic53C2312yes—
635D4×Dic53C2312yes—
636D4×Dic53C2312yes—
637D4×Dic53C2311yescharacteristic
638D4×Dic53C2312yes—
639D4×Dic53C2314yes—
640D4×Dic53C2312yes—
641D4×Dic53C2314yes—
642D4×Dic53C2312yes—
643D4×Dic53C2312yes—
644D4×Dic53C2312yes—
645D4×Dic53C2311yescharacteristic
646#13133179C2312yes—
647#13133179C2312yes—
648#13133179C2314yes—
649#13133179C2312yes—
650#13133179C2311yescharacteristic
651#13133179C2312yes—
652#13133179C2312yes—
653#13133179C2311yescharacteristic
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2312yes—
658C4×C22⋊D53C2312yes—
659C4×C22⋊D53C2312yes—
660C4×C22⋊D53C2312yes—
661C4×C22⋊D53C2312yes—
662C4×C22⋊D53C2312yes—
663C4×C22⋊D53C2312yes—
664C4×C22⋊D53C2312yes—
665C4×C22⋊D53C2314yes—
666C4×C22⋊D53C2314yes—
667C4×C22⋊D53C2314yes—
668C4×C22⋊D53C2312yes—
669C4×C22⋊D53C2314yes—
670C4×C22⋊D53C2314yes—
671C4×C22⋊D53C2312yes—
672C4×C22⋊D53C2314yes—
673C4×C22⋊D53C2312yes—
674C4×C22⋊D53C2312yes—
675C4×C22⋊D53C2312yes—
676C4×C22⋊D53C2312yes—
677C4×C22⋊D53C2312yes—
678C4×C22⋊D53C2312yes—
679C4×C22⋊D53C2312yes—
680C4×C22⋊D53C2312yes—
681#13133177C2314yes—
682#13133177C2312yes—
683#13133177C2314yes—
684#13133177C2312yes—
685#13133177C2314yes—
686#13133177C2314yes—
687#13133177C2314yes—
688#13133177C2314yes—
689#13133177C2314yes—
690#13133177C2314yes—
691#13133177C2314yes—
692#13133177C2312yes—
693#13133177C2312yes—
694#13133177C2312yes—
695#13133177C2314yes—
696#13133177C2314yes—
697#13133177C2312yes—
698#13133176C2312yes—
699#13133176C2311yescharacteristic
700#13133176C2312yes—
701#13133175C2312yes—
702#13133175C2312yes—
703#13133175C2312yes—
704#13133175C2312yes—
705#13133174C2314yes—
706#13133174C2314yes—
707#13133174C2312yes—
708#13133173C2314yes—
709#13133173C2314yes—
710#13133173C2312yes—
711#13133173C2312yes—
712#13133173C2312yes—
713#13133173C2312yes—
714C2×C4⋊Dic53C2312yes—
715C2×C4⋊Dic53C2311yescharacteristic
716C2×#11719919C2314yes—
717C2×#11719919C2312yes—
718C2×#11719919C2312yes—
719C2×#11719919C2312yes—
720C4⋊C4×D53C2312yes—
721C4⋊C4×D53C2312yes—
722C4⋊C4×D53C2314yes—
723C2×C22⋊Dic53C2314yes—
724C2×C22⋊Dic53C2312yes—
725C2×C22⋊Dic53C2312yes—
726C2×C22⋊Dic53C2312yes—
727C2×#11719921C2312yes—
728C2×#11719921C2312yes—
729C2×#11719921C2314yes—
730C2×#11719921C2312yes—
731C2×#11719921C2312yes—
732C2×#11719921C2314yes—
733C22⋊C4×D53C2314yes—
734C22⋊C4×D53C2314yes—
735C22⋊C4×D53C2314yes—
736C22⋊C4×D53C2314yes—
737C2×C4×Dic53C2311yescharacteristic
738C2×C4×Dic53C2311yescharacteristic
739C2×C4×Dic53C2311yescharacteristic
740C2×C4×Dic53C2311yescharacteristic
741C2×C4×Dic53C2311yescharacteristic
742C2×C4×Dic53C2311yescharacteristic
743C2×C4×Dic53C2311yescharacteristic
744C2×C4×Dic53C2311yescharacteristic
745C2×C4×Dic53C2311yescharacteristic
746C2×C4×Dic53C2311yescharacteristic
747C2×C4×Dic53C2311yescharacteristic
748C2×C4×Dic53C2311yescharacteristic
749C2×C4×Dic53C2312yes—
750C42×D53C2312yes—
751H(5,𝔽2)×C53—44no—
752C2×#41×C53—44no—
753C2×#41×C53C2311yescharacteristic
754C2×#41×C53C2311yescharacteristic
755C2×#41×C53C2311yescharacteristic
756C2×#41×C53C2312yes—
757C2×#41×C53C2312yes—
758C2×#41×C53C2311yescharacteristic
759C2×#41×C53C2312yes—
760C2×#41×C53C2312yes—
761C2×#41×C53C2311yescharacteristic
762C22×Q8×C53C2311yescharacteristic
763C22×D4×C53C2311yescharacteristic
764C22×D4×C53C2312yes—
765C22×D4×C53C2314yes—
766C22×D4×C53C2312yes—
767C22×D4×C53C2312yes—
768C22×D4×C53C2312yes—
769C22×D4×C53C2311yescharacteristic
770C22×D4×C53C2314yes—
771C23×C4×C53C2311yescharacteristic
772C23×C4×C53C2312yes—
773#127×C53C2312yes—
774#127×C53C2314yes—
775#124×C53C2314yes—
776#124×C53C2312yes—
777#123×C53C2312yes—
778#123×C53C2314yes—
779C22⋊Q8×C53C2312yes—
780C22⋊Q8×C53C2312yes—
781C22⋊Q8×C53C2311yescharacteristic
782C22⋊Q8×C53C2311yescharacteristic
783C22⋊Q8×C53C2314yes—
784#121×C53C2312yes—
785#121×C53C2312yes—
786#121×C53C2312yes—
787#121×C53C2312yes—
788#121×C53C2312yes—
789#121×C53C2314yes—
790#121×C53C2312yes—
791#121×C53C2314yes—
792#121×C53C2314yes—
793#121×C53C2311yescharacteristic
794#121×C53C2312yes—
795#121×C53C2312yes—
796#121×C53C2314yes—
797#121×C53C2314yes—
798#121×C53C2311yescharacteristic
799#121×C53C2314yes—
800#120×C53C2312yes—
801#120×C53C2314yes—
802#120×C53C2314yes—
803#120×C53C2314yes—
804#120×C53C2314yes—
805C4×Q8×C53C2312yes—
806C4×D4×C53C2314yes—
807C4×D4×C53C2312yes—
808C4×D4×C53C2314yes—
809C4×D4×C53C2312yes—
810C4×D4×C53C2312yes—
811C4×D4×C53C2314yes—
812#117×C53C2312yes—
813#117×C53C2311yescharacteristic
814C2×C4⋊C4×C53C2312yes—
815C2×C4⋊C4×C53C2311yescharacteristic
816C2×C22⋊C4×C53C2312yes—
817C2×C22⋊C4×C53C2314yes—
818C24×C53C2411yescharacteristic
819C24×C53C2412yes—
820C24×C53C2412yes—
821C24×C53C2414yes—
822C23×D53C2412yes—
823C23×D53C2412yes—
824C23×D53C2414yes—
825C23×D53C2414yes—
826C23×D53C2414yes—
827#41×C53—24no—
828#41×C53—24no—
829#41×C53—24no—
830#41×C53—44no—
831#41×C53—44no—
832#41×C53—42no—
833#41×C53—42no—
834#41×C53—44no—
835#41×C53—44no—
836C2×Q8×C53—42no—
837C2×Q8×C53C2411yescharacteristic
838C2×Q8×C53C2411yescharacteristic
839C2×Q8×C53C2411yescharacteristic
840C2×Q8×C53C2412yes—
841C2×D4×C53—24no—
842C2×D4×C53—42no—
843C2×D4×C53—44no—
844C2×D4×C53—44no—
845C2×D4×C53—44no—
846C2×D4×C53—48no—
847C2×D4×C53—44no—
848C2×D4×C53—48no—
849C2×D4×C53C2412yes—
850C2×D4×C53C2411yescharacteristic
851C2×D4×C53C2414yes—
852C2×D4×C53C2412yes—
853C2×D4×C53C2412yes—
854C2×D4×C53C2412yes—
855C2×D4×C53C2411yescharacteristic
856C2×D4×C53C2412yes—
857C2×D4×C53C2412yes—
858C2×D4×C53C2411yescharacteristic
859C2×D4×C53C2412yes—
860C2×D4×C53C2414yes—
861C2×D4×C53C2412yes—
862C2×D4×C53C2412yes—
863C2×D4×C53C2414yes—
864C2×D4×C53C2414yes—
865C2×D4×C53C2414yes—
866C2×D4×C53C2414yes—
867C2×D4×C53C2414yes—
868C2×D4×C53C2412yes—
869C22×C4×C53—24no—
870C22×C4×C53—44no—
871C22×C4×C53C2411yescharacteristic
872C22×C4×C53C2412yes—
873C22×C4×C53C2411yescharacteristic
874C22×C4×C53C2411yescharacteristic
875C22×C4×C53C2412yes—
876C22×C4×C53C2411yescharacteristic
877C22×C4×C53C2411yescharacteristic
878C22×C4×C53C2412yes—
879C22×C4×C53C2412yes—
880C22×C4×C53C2412yes—
881C22×C4×C53C2414yes—
882C22×C4×C53C2412yes—
883C22×C4×C53C2412yes—
884C22×C4×C53C2414yes—
885C22×C4×C53C2411yescharacteristic
886C2×C22⋊D53—28no—
887C2×C22⋊D53—48no—
888C2×C22⋊D53—44no—
889C2×C22⋊D53—44no—
890C2×C22⋊D53—44no—
891C2×C22⋊D53—48no—
892C2×C22⋊D53—48no—
893C2×C22⋊D53—44no—
894C2×C22⋊D53—44no—
895C2×C22⋊D53—48no—
896C2×C22⋊D53—48no—
897C2×C22⋊D53C2414yes—
898C2×C22⋊D53C2412yes—
899C2×C22⋊D53C2412yes—
900C2×C22⋊D53C2412yes—
901C2×C22⋊D53C2414yes—
902C2×C22⋊D53C2412yes—
903C2×C22⋊D53C2412yes—
904C2×C22⋊D53C2414yes—
905C2×C22⋊D53C2412yes—
906C2×C22⋊D53C2412yes—
907C2×C22⋊D53C2412yes—
908C2×C22⋊D53C2412yes—
909C2×C22⋊D53C2412yes—
910C2×C22⋊D53C2412yes—
911C2×C22⋊D53C2414yes—
912C2×C22⋊D53C2414yes—
913C2×C22⋊D53C2412yes—
914C2×C22⋊D53C2412yes—
915C2×C22⋊D53C2414yes—
916C2×C22⋊D53C2412yes—
917C2×C22⋊D53C2412yes—
918C2×C22⋊D53C2414yes—
919C2×C22⋊D53C2414yes—
920C2×C22⋊D53C2414yes—
921C2×C22⋊D53C2412yes—
922C2×C22⋊D53C2414yes—
923C2×C22⋊D53C2412yes—
924C2×C22⋊D53C2414yes—
925C2×C22⋊D53C2414yes—
926C2×C22⋊D53C2414yes—
927C2×C22⋊D53C2414yes—
928C2×C22⋊D53C2414yes—
929C2×C22⋊D53C2414yes—
930C22×Dic53—24no—
931C22×Dic53—42no—
932C22×Dic53—44no—
933C22×Dic53C2411yescharacteristic
934C22×Dic53C2411yescharacteristic
935C22×Dic53C2411yescharacteristic
936C22×Dic53C2411yescharacteristic
937C22×Dic53C2411yescharacteristic
938C22×Dic53C2411yescharacteristic
939C22×Dic53C2411yescharacteristic
940C22×Dic53C2411yescharacteristic
941C22×Dic53C2412yes—
942C22×Dic53C2412yes—
943C22×Dic53C2414yes—
944C22×Dic53C2411yescharacteristic
945C22×Dic53C2411yescharacteristic
946C22×Dic53C2411yescharacteristic
947C22×Dic53C2412yes—
948C22×Dic53C2414yes—
949C22×Dic53C2414yes—
950C22×Dic53C2412yes—
951C22×Dic53C2414yes—
952C22×Dic53C2411yescharacteristic
953#11719949—44no—
954#11719949—44no—
955#11719947—216no—
956#11719947—28no—
957#11719947—44no—
958#11719947—44no—
959#11719947—48no—
960#11719947—48no—
961#11719947—48no—
962#11719947—48no—
963#11719947—44no—
964#11719947—48no—
965D4×D53—44no—
966D4×D53—44no—
967D4×D53—44no—
968D4×D53—44no—
969D4×D53—48no—
970D4×D53—48no—
971D4×D53—48no—
972D4×D53—48no—
973D4×D53—48no—
974D4×D53—48no—
975D4×D53—48no—
976#11719945—24no—
977#11719945—24no—
978#11719945—24no—
979#11719945—48no—
980#11719945—48no—
981#11719945—42no—
982#11719945—42no—
983#11719945—44no—
984#11719945—44no—
985#11719945—44no—
986#11719945—44no—
987C2×D212—24no—
988C2×D212—42no—
989C2×D212—44no—
990C2×D212—44no—
991C2×D212C2411yescharacteristic
992C2×D212C2412yes—
993C2×D212C2412yes—
994C2×D212C2411yescharacteristic
995C2×D212C2411yescharacteristic
996C2×D212C2414yes—
997C2×D212C2412yes—
998C2×D212C2414yes—
999C2×D212C2414yes—
1000C2×D212C2414yes—
1001C2×D212C2414yes—
1002C2×C4×D53—44no—
1003C2×C4×D53—44no—
1004C2×C4×D53C2412yes—
1005C2×C4×D53C2412yes—
1006C2×C4×D53C2412yes—
1007C2×C4×D53C2414yes—
1008C2×C4×D53C2412yes—
1009C2×C4×D53C2412yes—
1010C2×C4×D53C2412yes—
1011C2×C4×D53C2414yes—
1012C2×C4×D53C2412yes—
1013C2×C4×D53C2414yes—
1014C2×C4×D53C2414yes—
1015C2×C4×D53C2414yes—
1016C2×C4×D53C2414yes—
1017C2×Dic106—44no—
1018C2×Dic106—42no—
1019C2×Dic106C2411yescharacteristic
1020C2×Dic106C2411yescharacteristic
1021C2×Dic106C2412yes—
1022C2×Dic106C2414yes—
1023C2×Dic106C2411yescharacteristic
1024C2×Dic106C2412yes—
1025C2×Dic106C2412yes—
1026C2×Dic106C2414yes—
1027C4⋊C4×C53C2411yescharacteristic
1028C4⋊C4×C53C2412yes—
1029C4⋊C4×C53C2412yes—
1030C4⋊C4×C53C2414yes—
1031C4⋊C4×C53C2411yescharacteristic
1032C4⋊C4×C53C2412yes—
1033C4⋊C4×C53C2414yes—
1034C4⋊C4×C53C2412yes—
1035C22⋊C4×C53C2412yes—
1036C22⋊C4×C53C2414yes—
1037C22⋊C4×C53C2414yes—
1038C22⋊C4×C53C2414yes—
1039C22⋊C4×C53C2414yes—
1040C22⋊C4×C53C2412yes—
1041C22⋊C4×C53C2414yes—
1042C22⋊C4×C53C2412yes—
1043C22⋊C4×C53C2412yes—
1044C22⋊C4×C53C2414yes—
1045C22⋊C4×C53C2414yes—
1046C22⋊C4×C53C2412yes—
1047C42×C53C2412yes—
1048C42×C53C2414yes—
1049C22⋊Dic53C2412yes—
1050C22⋊Dic53C2412yes—
1051C22⋊Dic53C2414yes—
1052C22⋊Dic53C2414yes—
1053C22⋊Dic53C2412yes—
1054C22⋊Dic53C2412yes—
1055C22⋊Dic53C2412yes—
1056C22⋊Dic53C2412yes—
1057C22⋊Dic53C2414yes—
1058C22⋊Dic53C2412yes—
1059C22⋊Dic53C2412yes—
1060C22⋊Dic53C2412yes—
1061C22⋊Dic53C2414yes—
1062C22⋊Dic53C2414yes—
1063C22⋊Dic53C2412yes—
1064C22⋊Dic53C2412yes—
1065C22⋊Dic53C2414yes—
1066C22⋊Dic53C2412yes—
1067C22⋊Dic53C2412yes—
1068C22⋊Dic53C2412yes—
1069C22⋊Dic53C2412yes—
1070C22⋊Dic53C2414yes—
1071#11719921C2412yes—
1072#11719921C2412yes—
1073#11719921C2412yes—
1074#11719921C2414yes—
1075#11719921C2414yes—
1076#11719921C2414yes—
1077#11719921C2414yes—
1078#11719921C2412yes—
1079#11719921C2414yes—
1080#11719921C2414yes—
1081#11719921C2414yes—
1082#11719921C2412yes—
1083#11719921C2412yes—
1084#11719921C2412yes—
1085#11719921C2412yes—
1086#11719921C2412yes—
1087#11719921C2412yes—
1088#11719921C2414yes—
1089#11719921C2414yes—
1090#11719921C2414yes—
1091#11719921C2414yes—
1092#11719921C2412yes—
1093#11719921C2412yes—
1094#11719921C2414yes—
1095#11719921C2412yes—
1096#11719921C2412yes—
1097#11719921C2414yes—
1098#11719921C2414yes—
1099C4⋊Dic53C2411yescharacteristic
1100C4⋊Dic53C2412yes—
1101C4⋊Dic53C2414yes—
1102C4⋊Dic53C2412yes—
1103C4⋊Dic53C2414yes—
1104C4⋊Dic53C2411yescharacteristic
1105C4⋊Dic53C2412yes—
1106C4⋊Dic53C2412yes—
1107C4⋊Dic53C2412yes—
1108C4⋊Dic53C2412yes—
1109#11719919C2412yes—
1110#11719919C2412yes—
1111#11719919C2414yes—
1112#11719919C2414yes—
1113#11719919C2412yes—
1114#11719919C2412yes—
1115#11719919C2414yes—
1116#11719919C2412yes—
1117#11719919C2412yes—
1118#11719919C2414yes—
1119#11719919C2414yes—
1120#11719919C2412yes—
1121#11719919C2412yes—
1122#11719919C2412yes—
1123#11719919C2414yes—
1124#11719919C2412yes—
1125#11719919C2412yes—
1126#11719919C2412yes—
1127#11719919C2412yes—
1128#11719919C2412yes—
1129#11719919C2412yes—
1130#11719919C2412yes—
1131#11719919C2412yes—
1132#11719919C2412yes—
1133C4×Dic53C2411yescharacteristic
1134C4×Dic53C2412yes—
1135C4×Dic53C2412yes—
1136C4×Dic53C2411yescharacteristic
1137C4×Dic53C2411yescharacteristic
1138C4×Dic53C2411yescharacteristic
1139C4×Dic53C2411yescharacteristic
1140C4×Dic53C2411yescharacteristic
1141C4×Dic53C2411yescharacteristic
1142C4×Dic53C2411yescharacteristic
1143C4×Dic53C2411yescharacteristic
1144C4×Dic53C2411yescharacteristic
1145C4×Dic53C2411yescharacteristic
1146C4×Dic53C2411yescharacteristic
1147C4×Dic53C2411yescharacteristic
1148C4×Dic53C2411yescharacteristic
1149C4×Dic53C2411yescharacteristic
1150C4×Dic53C2411yescharacteristic
1151C4×Dic53C2412yes—
1152C4×Dic53C2412yes—
1153C4×Dic53C2412yes—
1154C4×Dic53C2414yes—
1155C4×Dic53C2414yes—
1156C4×Dic53C2414yes—
1157C23×C53—22no—
1158C23×C53—22no—
1159C23×C53—24no—
1160C23×C53—24no—
1161C23×C53—41no—
1162C23×C53—42no—
1163C23×C53—42no—
1164C23×C53—42no—
1165C23×C53—42no—
1166C23×C53—44no—
1167C23×C53—44no—
1168C23×C53—44no—
1169C23×C53C2511yescharacteristic
1170C23×C53C2514yes—
1171C23×C53C2512yes—
1172C23×C53C2512yes—
1173C23×C53C2512yes—
1174C23×C53C2511yescharacteristic
1175C23×C53C2511yescharacteristic
1176C22×D53—24no—
1177C22×D53—24no—
1178C22×D53—42no—
1179C22×D53—42no—
1180C22×D53—42no—
1181C22×D53—42no—
1182C22×D53—44no—
1183C22×D53—44no—
1184C22×D53—44no—
1185C22×D53—44no—
1186C22×D53—44no—
1187C22×D53—44no—
1188C22×D53—44no—
1189C22×D53—44no—
1190C22×D53—44no—
1191C22×D53C2512yes—
1192C22×D53C2512yes—
1193C22×D53C2514yes—
1194C22×D53C2512yes—
1195Q8×C53—22no—
1196Q8×C53—22no—
1197Q8×C53—22no—
1198Q8×C53—42no—
1199D4×C53—24no—
1200D4×C53—24no—
1201D4×C53—24no—
1202D4×C53—28no—
1203D4×C53—24no—
1204D4×C53—22no—
1205D4×C53—22no—
1206D4×C53—24no—
1207D4×C53—24no—
1208D4×C53—22no—
1209D4×C53—44no—
1210D4×C53—44no—
1211D4×C53—44no—
1212D4×C53—44no—
1213D4×C53—42no—
1214D4×C53—44no—
1215D4×C53—44no—
1216D4×C53—42no—
1217D4×C53—42no—
1218D4×C53—42no—
1219C2×C4×C53—22no—
1220C2×C4×C53—22no—
1221C2×C4×C53—22no—
1222C2×C4×C53—24no—
1223C2×C4×C53—24no—
1224C2×C4×C53—22no—
1225C2×C4×C53—22no—
1226C2×C4×C53—24no—
1227C2×C4×C53—42no—
1228C2×C4×C53—44no—
1229C2×C4×C53—42no—
1230C2×C4×C53—42no—
1231C2×C4×C53—42no—
1232C2×C4×C53—44no—
1233C2×C4×C53H(5,𝔽2)14yescomplemented
1234C2×C4×C53C2514yes—
1235C2×C4×C53C2511yescharacteristic
1236C2×C4×C53C2512yes—
1237C2×C4×C53C2512yes—
1238C2×C4×C53C2511yescharacteristic
1239C2×C4×C53C2512yes—
1240C2×C4×C53C2512yes—
1241C2×C4×C53C2512yes—
1242C2×C4×C53C2511yescharacteristic
1243C2×C4×C53C2511yescharacteristic
1244C22⋊D53—24no—
1245C22⋊D53—24no—
1246C22⋊D53—24no—
1247C22⋊D53—24no—
1248C22⋊D53—28no—
1249C22⋊D53—24no—
1250C22⋊D53—24no—
1251C22⋊D53—24no—
1252C22⋊D53—24no—
1253C22⋊D53—24no—
1254C22⋊D53—28no—
1255C22⋊D53—24no—
1256C22⋊D53—28no—
1257C22⋊D53—24no—
1258C22⋊D53—42no—
1259C22⋊D53—42no—
1260C22⋊D53—44no—
1261C22⋊D53—44no—
1262C22⋊D53—44no—
1263C22⋊D53—44no—
1264C22⋊D53—44no—
1265C22⋊D53—44no—
1266C22⋊D53—44no—
1267C22⋊D53—44no—
1268C22⋊D53—44no—
1269C22⋊D53—44no—
1270C22⋊D53—42no—
1271C22⋊D53—42no—
1272C22⋊D53—44no—
1273C22⋊D53—44no—
1274C22⋊D53—42no—
1275C22⋊D53—44no—
1276C22⋊D53—42no—
1277C2×Dic53—22no—
1278C2×Dic53—22no—
1279C2×Dic53—22no—
1280C2×Dic53—28no—
1281C2×Dic53—24no—
1282C2×Dic53—22no—
1283C2×Dic53—22no—
1284C2×Dic53—22no—
1285C2×Dic53—24no—
1286C2×Dic53—22no—
1287C2×Dic53—22no—
1288C2×Dic53—42no—
1289C2×Dic53—42no—
1290C2×Dic53—44no—
1291C2×Dic53—44no—
1292C2×Dic53—44no—
1293C2×Dic53—41no—
1294C2×Dic53—41no—
1295C2×Dic53—41no—
1296C2×Dic53H(5,𝔽2)14yescomplemented
1297C2×Dic53C2511yescharacteristic
1298C2×Dic53C2512yes—
1299C2×Dic53C2512yes—
1300C2×Dic53C2514yes—
1301C2×Dic53C2511yescharacteristic
1302C2×Dic53C2512yes—
1303C2×Dic53C2512yes—
1304C2×Dic53C2512yes—
1305C2×Dic53C2511yescharacteristic
1306C2×Dic53C2511yescharacteristic
1307C2×Dic53C2511yescharacteristic
1308C2×Dic53C2511yescharacteristic
1309C2×Dic53C2511yescharacteristic
1310C2×Dic53C2511yescharacteristic
1311D212—24no—
1312D212—24no—
1313D212—22no—
1314D212—22no—
1315D212—22no—
1316D212—42no—
1317D212—44no—
1318D212—44no—
1319D212—44no—
1320D212—44no—
1321D212—44no—
1322C4×D53—24no—
1323C4×D53—24no—
1324C4×D53—24no—
1325C4×D53—28no—
1326C4×D53—24no—
1327C4×D53—24no—
1328C4×D53—42no—
1329C4×D53—42no—
1330C4×D53—44no—
1331C4×D53—44no—
1332C4×D53—44no—
1333C4×D53—44no—
1334C4×D53—44no—
1335Dic106—22no—
1336Dic106—22no—
1337Dic106—22no—
1338Dic106—28no—
1339Dic106—24no—
1340Dic106—42no—
1341Dic106—44no—
1342Dic106—42no—
1343#62834—531nomaximal, Sylow
1344C22×C53—21no—
1345C22×C53—21no—
1346C22×C53—21no—
1347C22×C53—21no—
1348C22×C53—21no—
1349C22×C53—24no—
1350C22×C53—22no—
1351C22×C53—22no—
1352C22×C53—24no—
1353C22×C53—22no—
1354C22×C53—21no—
1355C22×C53—22no—
1356C22×C53—22no—
1357C22×C53—22no—
1358C22×C53—21no—
1359C22×C53—22no—
1360C22×C53—22no—
1361C22×C53—24no—
1362C22×C53—22no—
1363C22×C53—44no—
1364C22×C53—84no—
1365C22×C53—84no—
1366C22×C53—164no—
1367C22×C53C2×H(5,𝔽2)12yes—
1368C22×C53C2×H(5,𝔽2)12yes—
1369C22×C53C2611yescharacteristic
1370C2×D53—22no—
1371C2×D53—22no—
1372C2×D53—24no—
1373C2×D53—22no—
1374C2×D53—22no—
1375C2×D53—24no—
1376C2×D53—22no—
1377C2×D53—22no—
1378C2×D53—22no—
1379C2×D53—22no—
1380C2×D53—24no—
1381C2×D53—22no—
1382C2×D53—84no—
1383C2×D53—84no—
1384C2×D53—164no—
1385C2×D53—164no—
1386C2×D53—164no—
1387C4×C53—24no—
1388C4×C53—22no—
1389C4×C53—21no—
1390C4×C53—21no—
1391C4×C53—22no—
1392C4×C53—22no—
1393C4×C53—22no—
1394C4×C53—22no—
1395C4×C53C2×H(5,𝔽2)12yes—
1396C4×C53C2×H(5,𝔽2)12yes—
1397Dic53—22no—
1398Dic53—22no—
1399Dic53—24no—
1400Dic53—22no—
1401Dic53—22no—
1402Dic53—21no—
1403Dic53—21no—
1404Dic53—21no—
1405Dic53—22no—
1406Dic53—21no—
1407Dic53—21no—
1408Dic53C2×H(5,𝔽2)12yes—
1409Dic53C2×H(5,𝔽2)12yes—
1410Dic53#58512yes—
1411#3558—532no—
1412#3558—534no—
1413#3558—532no—
1414#3549—532no—
1415#3548—532no—
1416#3546—532no—
1417#3546—532no—
1418#3546—532no—
1419#3546—532no—
1420#3537—534no—
1421#3519—534no—
1422#3519—532no—
1423#3519—532no—
1424#3511—532no—
1425#3511—531no—
1426#3511—531no—
1427#3508—532no—
1428#3508—532no—
1429#3506—531no—
1430#3506—532no—
1431#3506—531no—
1432#3498—531no—
1433#3498—532no—
1434#3498—531no—
1435#3496—531no—
1436#3496—531no—
1437#3496—532no—
1438#3488—531no—
1439#3488—534no—
1440#3488—531no—
1441#3488—531no—
1442#3488D5311yescharacteristic, complemented
1443#3444—531no—
1444C2×#532—531no—
1445C2×#532—531no—
1446C2×C53—22no—
1447C2×C53—22no—
1448C2×C53—42no—
1449C2×C53—42no—
1450C2×C53—44no—
1451C2×C53—41no—
1452C2×C53—42no—
1453C2×C53C22×H(5,𝔽2)11yescharacteristic
1454C2×C53C22×H(5,𝔽2)11yescharacteristic
1455C2×C53C2×#58511yescharacteristic
1456D53—42no—
1457D53—42no—
1458D53—44no—
1459D53—42no—
1460C2×H(5,𝔽2)—531no—
1461C2×H(5,𝔽2)—531no—
1462C2×H(5,𝔽2)—534no—
1463C2×H(5,𝔽2)—531no—
1464C2×H(5,𝔽2)C2×D5311yescharacteristic, complemented
1465C22×#41—532no—
1466C22×#41—531no—
1467C22×#41C2×D5311yescharacteristic, complemented
1468#562—534no—
1469#562—534no—
1470H(3,𝔽4)—534no—
1471H(3,𝔽4)—534no—
1472#560—534no—
1473#560—534no—
1474#560—534no—
1475#560—534no—
1476#559—532no—
1477#559—532no—
1478#559—534no—
1479#559—532no—
1480#559—534no—
1481#559—532no—
1482#556—532no—
1483#556—532no—
1484#556—532no—
1485#556—532no—
1486#555—534no—
1487#555—532no—
1488#555—532no—
1489#555—532no—
1490#555—532no—
1491#554—534no—
1492#554—532no—
1493#554—532no—
1494#553—534no—
1495#553—534no—
1496#553—534no—
1497#553—532no—
1498#553—532no—
1499#553—534no—
1500#553—534no—
1501#553—534no—
1502#553—532no—
1503#553—532no—
1504#550—532no—
1505#550—532no—
1506#550—532no—
1507#550—534no—
1508#550—532no—
1509#550—532no—
1510#550—534no—
1511#550—532no—
1512#550—532no—
1513#550—534no—
1514#550—532no—
1515#550—532no—
1516#550C2×D5312yescomplemented
1517#548—532no—
1518#548—534no—
1519#548—532no—
1520#548—534no—
1521#548—532no—
1522#548C2×D5312yescomplemented
1523#547—532no—
1524#547—532no—
1525#547—532no—
1526#547—532no—
1527#547—532no—
1528#547—532no—
1529#547—532no—
1530#547—532no—
1531#546—532no—
1532#546—534no—
1533#546—532no—
1534#546—532no—
1535#546—534no—
1536#546—532no—
1537#546—532no—
1538#546—534no—
1539#546—532no—
1540#546—532no—
1541#546—532no—
1542#546—532no—
1543#546—532no—
1544#546—534no—
1545#546—534no—
1546#546—534no—
1547#546—534no—
1548#546—534no—
1549#546—534no—
1550#546—534no—
1551#546—532no—
1552#546—534no—
1553#546—534no—
1554#546—534no—
1555#546C2×D5312yescomplemented
1556#546C2×D5314yescomplemented
1557D42—534no—
1558D42—534no—
1559D42—534no—
1560D42—532no—
1561D42—532no—
1562D42—532no—
1563D42—532no—
1564D42—534no—
1565D42—534no—
1566D42—532no—
1567D42—532no—
1568D42—532no—
1569D42—532no—
1570D42—532no—
1571D42—532no—
1572D42—534no—
1573D42—534no—
1574D42—534no—
1575D42—534no—
1576D42—534no—
1577D42—532no—
1578D42C2×D5314yescomplemented
1579D42C2×D5312yescomplemented
1580#542—534no—
1581#542—534no—
1582#542—532no—
1583#542—532no—
1584#542—532no—
1585#542—532no—
1586#540—534no—
1587#540—534no—
1588#540—534no—
1589#540—534no—
1590#538—534no—
1591#538—534no—
1592#538—534no—
1593#538—534no—
1594#538—534no—
1595#538—534no—
1596#538—534no—
1597#538—534no—
1598#538—534no—
1599#538—534no—
1600#538—534no—
1601#538—534no—
1602#537—531no—
1603#537—531no—
1604#537—532no—
1605#537—532no—
1606#537—534no—
1607#537—534no—
1608#537—534no—
1609#537—532no—
1610#537—531no—
1611#537C2×D5311yescharacteristic, complemented
1612#537C2×D5312yescomplemented
1613#535—531no—
1614#535—532no—
1615#535—532no—
1616#535—531no—
1617#535—532no—
1618#535—534no—
1619#535—532no—
1620#535—534no—
1621#535—532no—
1622#535—532no—
1623#535—532no—
1624#535—534no—
1625#535—534no—
1626#535—534no—
1627#535—534no—
1628#535—534no—
1629#535—531no—
1630#535C2×D5311yescharacteristic, complemented
1631#535C2×D5312yescomplemented
1632#534—534no—
1633#534—534no—
1634#534—534no—
1635#534—534no—
1636#533—531no—
1637#533—531no—
1638#533—532no—
1639#533—532no—
1640#533—531no—
1641#532—531no—
1642#532—531no—
1643#532—531no—
1644#532—531no—
1645#532—531no—
1646#532—531no—
1647#532—532no—
1648#532—531no—
1649#532—531no—
1650#532—532no—
1651#532—532no—
1652#532—532no—
1653#532—531no—
1654#532—532no—
1655#532—532no—
1656#532—532no—
1657#532—532no—
1658#532—532no—
1659#532—532no—
1660#532—532no—
1661#532—532no—
1662#532—532no—
1663#532—532no—
1664#532—531no—
1665#532—531no—
1666#532—532no—
1667#532—532no—
1668C2×C4⋊Q8—531no—
1669C2×C4⋊Q8—531no—
1670C2×#127—531no—
1671C2×#127—531no—
1672C2×#127—532no—
1673C2×#127—532no—
1674#529—532no—
1675#529—532no—
1676#529—531no—
1677#529—531no—
1678#529—531no—
1679#529—531no—
1680#529—532no—
1681#529—532no—
1682C2×#124—531no—
1683C2×#124—531no—
1684C2×#124—532no—
1685#525—531no—
1686#525—532no—
1687#525—532no—
1688#525—532no—
1689#525—532no—
1690#525—532no—
1691#525—534no—
1692#525—534no—
1693#525C2×D5311yescharacteristic, complemented
1694#525C2×D5312yescomplemented
1695C2×#121—532no—
1696C2×#121—532no—
1697C2×#121—532no—
1698C2×#121—534no—
1699C2×#121—531no—
1700C2×#121—532no—
1701C2×#121—534no—
1702C2×#121—532no—
1703C2×#121—532no—
1704C2×#121C2×D5311yescharacteristic, complemented
1705C2×#121C2×D5312yescomplemented
1706#520—531no—
1707#520—534no—
1708#520—531no—
1709#520—531no—
1710#520C2×D5311yescharacteristic, complemented
1711#518—534no—
1712#518—534no—
1713C4×#41—531no—
1714C4×#41—532no—
1715C4×#41—532no—
1716C4×#41—531no—
1717C2×C4×D4—531no—
1718C2×C4×D4—532no—
1719C2×C4×D4—532no—
1720C2×C4×D4—531no—
1721C2×C4×D4—532no—
1722C22×C42—531no—
1723C53#6283411yescharacteristic, complemented, Sylow
1724H(5,𝔽2)—44no—
1725H(5,𝔽2)—2124no—
1726H(5,𝔽2)—21216no—
1727H(5,𝔽2)—2124no—
1728H(5,𝔽2)—2124no—
1729C2×#41—44no—
1730C2×#41—532no—
1731C2×#41—532no—
1732C2×#41—532no—
1733C2×#41—534no—
1734C2×#41—532no—
1735C2×#41—534no—
1736C2×#41—532no—
1737C2×#41—534no—
1738C2×#41—534no—
1739C2×#41—534no—
1740C2×#41—534no—
1741C2×#41—532no—
1742C2×#41—531no—
1743C2×#41—531no—
1744C2×#41—531no—
1745C2×#41—534no—
1746C2×#41—532no—
1747C2×#41—532no—
1748C2×#41—532no—
1749C2×#41—531no—
1750C2×#41—531no—
1751C2×#41—534no—
1752C2×#41—532no—
1753C2×#41—2124no—
1754C2×#41—2128no—
1755C2×#41C22×D5311yescharacteristic
1756C2×#41C22×D5311yescharacteristic
1757C2×#41C22×D5311yescharacteristic
1758C2×#41C22×D5312yes—
1759C2×#41C22×D5312yes—
1760C2×#41C22×D5312yes—
1761C2×#41C22×D5311yescharacteristic
1762C2×#41C22×D5311yescharacteristic
1763C2×#41C22×D5312yes—
1764C22×Q8—532no—
1765C22×Q8—531no—
1766C22×Q8C22×D5311yescharacteristic
1767C22×D4—532no—
1768C22×D4—532no—
1769C22×D4—532no—
1770C22×D4—534no—
1771C22×D4—532no—
1772C22×D4—532no—
1773C22×D4—534no—
1774C22×D4—534no—
1775C22×D4—534no—
1776C22×D4—532no—
1777C22×D4—534no—
1778C22×D4—534no—
1779C22×D4—534no—
1780C22×D4—534no—
1781C22×D4—534no—
1782C22×D4—534no—
1783C22×D4—534no—
1784C22×D4—532no—
1785C22×D4—532no—
1786C22×D4—534no—
1787C22×D4—532no—
1788C22×D4—532no—
1789C22×D4—531no—
1790C22×D4—532no—
1791C22×D4—531no—
1792C22×D4—532no—
1793C22×D4C22×D5311yescharacteristic
1794C22×D4C22×D5312yes—
1795C22×D4C22×D5312yes—
1796C22×D4C22×D5314yes—
1797C22×D4C22×D5314yes—
1798C22×D4C22×D5312yes—
1799C22×D4C22×D5311yescharacteristic
1800C22×D4C22×D5312yes—
1801C23×C4—531no—
1802C23×C4—532no—
1803C23×C4—531no—
1804C23×C4—532no—
1805C23×C4—532no—
1806C23×C4C22×D5311yescharacteristic
1807C23×C4C22×D5312yes—
1808C4⋊Q8—531no—
1809C4⋊Q8—531no—
1810C4⋊Q8—532no—
1811C4⋊Q8—531no—
1812C4⋊Q8—531no—
1813C4⋊Q8—532no—
1814C4⋊Q8—531no—
1815C4⋊Q8—532no—
1816C4⋊Q8—532no—
1817C4⋊Q8—532no—
1818C4⋊Q8—532no—
1819C4⋊Q8—531no—
1820C4⋊Q8—531no—
1821#127—531no—
1822#127—532no—
1823#127—531no—
1824#127—532no—
1825#127—532no—
1826#127—532no—
1827#127—532no—
1828#127—531no—
1829#127—531no—
1830#127—532no—
1831#127—534no—
1832#127—534no—
1833#127—532no—
1834#127—532no—
1835#127—534no—
1836#127—534no—
1837#127—531no—
1838#127—534no—
1839#127—534no—
1840#127—534no—
1841#127—532no—
1842#127C22×D5312yes—
1843#127C22×D5314yes—
1844#126—532no—
1845#126—532no—
1846#126—534no—
1847#126—534no—
1848#126—532no—
1849#126—532no—
1850#126—534no—
1851#126—534no—
1852#126—534no—
1853#126—534no—
1854#126—534no—
1855#126—534no—
1856#125—532no—
1857#125—531no—
1858#125—531no—
1859#125—532no—
1860#125—534no—
1861#125—534no—
1862#124—531no—
1863#124—531no—
1864#124—532no—
1865#124—531no—
1866#124—531no—
1867#124—532no—
1868#124—531no—
1869#124—532no—
1870#124—534no—
1871#124—531no—
1872#124—531no—
1873#124—532no—
1874#124—531no—
1875#124—531no—
1876#124—532no—
1877#124—531no—
1878#124—532no—
1879#124—534no—
1880#124—534no—
1881#124—534no—
1882#124—534no—
1883#124—534no—
1884#124—534no—
1885#124—532no—
1886#124—532no—
1887#124—534no—
1888#124—534no—
1889#124—534no—
1890#124—534no—
1891#124—534no—
1892#124—534no—
1893#124—534no—
1894#124—534no—
1895#124—532no—
1896#124—534no—
1897#124—534no—
1898#124C22×D5312yes—
1899#124C22×D5314yes—
1900#123—532no—
1901#123—532no—
1902#123—534no—
1903#123—534no—
1904#123—534no—
1905#123—534no—
1906#123—534no—
1907#123—532no—
1908#123—534no—
1909#123—534no—
1910#123—534no—
1911#123—534no—
1912#123—534no—
1913#123—534no—
1914#123—534no—
1915#123—534no—
1916#123—534no—
1917#123—534no—
1918#123—534no—
1919#123—532no—
1920#123—532no—
1921#123—534no—
1922#123—534no—
1923#123—534no—
1924#123—534no—
1925#123—534no—
1926#123—534no—
1927#123—534no—
1928#123C22×D5312yes—
1929#123C22×D5314yes—
1930C22⋊Q8—532no—
1931C22⋊Q8—532no—
1932C22⋊Q8—534no—
1933C22⋊Q8—531no—
1934C22⋊Q8—531no—
1935C22⋊Q8—532no—
1936C22⋊Q8—532no—
1937C22⋊Q8—534no—
1938C22⋊Q8—534no—
1939C22⋊Q8—532no—
1940C22⋊Q8—534no—
1941C22⋊Q8—532no—
1942C22⋊Q8—534no—
1943C22⋊Q8—534no—
1944C22⋊Q8—534no—
1945C22⋊Q8—532no—
1946C22⋊Q8—532no—
1947C22⋊Q8—532no—
1948C22⋊Q8—532no—
1949C22⋊Q8—534no—
1950C22⋊Q8—534no—
1951C22⋊Q8—534no—
1952C22⋊Q8—534no—
1953C22⋊Q8C22×D5311yescharacteristic
1954C22⋊Q8C22×D5311yescharacteristic
1955C22⋊Q8C22×D5312yes—
1956C22⋊Q8C22×D5312yes—
1957C22⋊Q8C22×D5314yes—
1958#121—532no—
1959#121—532no—
1960#121—532no—
1961#121—532no—
1962#121—534no—
1963#121—532no—
1964#121—532no—
1965#121—532no—
1966#121—532no—
1967#121—534no—
1968#121—532no—
1969#121—532no—
1970#121—532no—
1971#121—532no—
1972#121—534no—
1973#121—532no—
1974#121—532no—
1975#121—532no—
1976#121—532no—
1977#121—534no—
1978#121—532no—
1979#121—534no—
1980#121—534no—
1981#121—534no—
1982#121—534no—
1983#121—532no—
1984#121—534no—
1985#121—532no—
1986#121—534no—
1987#121—534no—
1988#121—534no—
1989#121—534no—
1990#121—532no—
1991#121—532no—
1992#121—532no—
1993#121—532no—
1994#121—534no—
1995#121—534no—
1996#121—534no—
1997#121—532no—
1998#121—534no—
1999#121—534no—
2000#121—534no—
2001#121—534no—
2002#121—534no—
2003#121—534no—
2004#121—534no—
2005#121—534no—
2006#121—534no—
2007#121—534no—
2008#121—534no—
2009#121—534no—
2010#121—531no—
2011#121—532no—
2012#121—532no—
2013#121—532no—
2014#121—532no—
2015#121—534no—
2016#121—534no—
2017#121—532no—
2018#121—532no—
2019#121—534no—
2020#121—531no—
2021#121—532no—
2022#121—532no—
2023#121—534no—
2024#121—534no—
2025#121—534no—
2026#121—532no—
2027#121—532no—
2028#121—534no—
2029#121—532no—
2030#121—532no—
2031#121—534no—
2032#121—534no—
2033#121—534no—
2034#121—534no—
2035#121—534no—
2036#121—534no—
2037#121—534no—
2038#121—534no—
2039#121—534no—
2040#121—534no—
2041#121—534no—
2042#121—534no—
2043#121—534no—
2044#121—534no—
2045#121—534no—
2046#121C22×D5311yescharacteristic
2047#121C22×D5312yes—
2048#121C22×D5314yes—
2049#121C22×D5312yes—
2050#121C22×D5312yes—
2051#121C22×D5312yes—
2052#121C22×D5314yes—
2053#121C22×D5312yes—
2054#121C22×D5312yes—
2055#121C22×D5314yes—
2056#121C22×D5311yescharacteristic
2057#121C22×D5312yes—
2058#121C22×D5312yes—
2059#121C22×D5314yes—
2060#121C22×D5314yes—
2061#121C22×D5314yes—
2062#120—532no—
2063#120—534no—
2064#120—534no—
2065#120—534no—
2066#120—534no—
2067#120—534no—
2068#120—534no—
2069#120—534no—
2070#120—534no—
2071#120—534no—
2072#120—534no—
2073#120—534no—
2074#120—534no—
2075#120—534no—
2076#120—534no—
2077#120—534no—
2078#120—534no—
2079#120—534no—
2080#120—534no—
2081#120—534no—
2082#120—534no—
2083#120—534no—
2084#120—534no—
2085#120—534no—
2086#120—534no—
2087#120—534no—
2088#120—534no—
2089#120—534no—
2090#120—534no—
2091#120C22×D5312yes—
2092#120C22×D5314yes—
2093#120C22×D5314yes—
2094#120C22×D5314yes—
2095#120C22×D5314yes—
2096C4×Q8—531no—
2097C4×Q8—531no—
2098C4×Q8—532no—
2099C4×Q8—532no—
2100C4×Q8—531no—
2101C4×Q8—531no—
2102C4×Q8—532no—
2103C4×Q8—534no—
2104C4×Q8—532no—
2105C4×Q8—532no—
2106C4×Q8—532no—
2107C4×Q8—534no—
2108C4×Q8—532no—
2109C4×Q8C22×D5312yes—
2110C4×D4—532no—
2111C4×D4—532no—
2112C4×D4—532no—
2113C4×D4—532no—
2114C4×D4—532no—
2115C4×D4—532no—
2116C4×D4—532no—
2117C4×D4—532no—
2118C4×D4—531no—
2119C4×D4—531no—
2120C4×D4—534no—
2121C4×D4—534no—
2122C4×D4—534no—
2123C4×D4—532no—
2124C4×D4—532no—
2125C4×D4—532no—
2126C4×D4—532no—
2127C4×D4—532no—
2128C4×D4—532no—
2129C4×D4—532no—
2130C4×D4—532no—
2131C4×D4—532no—
2132C4×D4—532no—
2133C4×D4—532no—
2134C4×D4—532no—
2135C4×D4—532no—
2136C4×D4—532no—
2137C4×D4—532no—
2138C4×D4—532no—
2139C4×D4—532no—
2140C4×D4—532no—
2141C4×D4—532no—
2142C4×D4—532no—
2143C4×D4—532no—
2144C4×D4—534no—
2145C4×D4—534no—
2146C4×D4—534no—
2147C4×D4—534no—
2148C4×D4—534no—
2149C4×D4—534no—
2150C4×D4—534no—
2151C4×D4—532no—
2152C4×D4—532no—
2153C4×D4—532no—
2154C4×D4—532no—
2155C4×D4—531no—
2156C4×D4—531no—
2157C4×D4—534no—
2158C4×D4—532no—
2159C4×D4—534no—
2160C4×D4—534no—
2161C4×D4—534no—
2162C4×D4—534no—
2163C4×D4—532no—
2164C4×D4—532no—
2165C4×D4—532no—
2166C4×D4—532no—
2167C4×D4—532no—
2168C4×D4—532no—
2169C4×D4—534no—
2170C4×D4—534no—
2171C4×D4—534no—
2172C4×D4—534no—
2173C4×D4—534no—
2174C4×D4—534no—
2175C4×D4—534no—
2176C4×D4—534no—
2177C4×D4—532no—
2178C4×D4C22×D5312yes—
2179C4×D4C22×D5312yes—
2180C4×D4C22×D5314yes—
2181C4×D4C22×D5314yes—
2182C4×D4C22×D5314yes—
2183C4×D4C22×D5312yes—
2184#117—531no—
2185#117—532no—
2186#117—532no—
2187#117—532no—
2188#117—532no—
2189#117—532no—
2190#117—532no—
2191#117—532no—
2192#117—532no—
2193#117—532no—
2194#117—532no—
2195#117—534no—
2196#117—534no—
2197#117—532no—
2198#117—534no—
2199#117—534no—
2200#117C22×D5311yescharacteristic
2201#117C22×D5312yes—
2202C2×C4⋊C4—532no—
2203C2×C4⋊C4—531no—
2204C2×C4⋊C4—532no—
2205C2×C4⋊C4—532no—
2206C2×C4⋊C4—534no—
2207C2×C4⋊C4—532no—
2208C2×C4⋊C4—534no—
2209C2×C4⋊C4—532no—
2210C2×C4⋊C4—532no—
2211C2×C4⋊C4C22×D5311yescharacteristic
2212C2×C4⋊C4C22×D5312yes—
2213C2×C22⋊C4—532no—
2214C2×C22⋊C4—532no—
2215C2×C22⋊C4—532no—
2216C2×C22⋊C4—534no—
2217C2×C22⋊C4—532no—
2218C2×C22⋊C4—532no—
2219C2×C22⋊C4—532no—
2220C2×C22⋊C4—532no—
2221C2×C22⋊C4—534no—
2222C2×C22⋊C4—534no—
2223C2×C22⋊C4—534no—
2224C2×C22⋊C4—534no—
2225C2×C22⋊C4—534no—
2226C2×C22⋊C4—534no—
2227C2×C22⋊C4C22×D5312yes—
2228C2×C22⋊C4C22×D5314yes—
2229C2×C42—531no—
2230C2×C42—531no—
2231C2×C42—531no—
2232C2×C42—531no—
2233C2×C42—532no—
2234C2×C42—531no—
2235C2×C42—531no—
2236C2×C42—531no—
2237C2×C42—531no—
2238C2×C42—531no—
2239C2×C42—531no—
2240C2×C42—531no—
2241C2×C42—531no—
2242C2×C42—532no—
2243C24—532no—
2244C24—532no—
2245C24—534no—
2246C24—534no—
2247C24—534no—
2248C24C23×D5311yescharacteristic
2249C24C23×D5312yes—
2250C24C23×D5312yes—
2251C24C23×D5314yes—
2252#41—24no—
2253#41—24no—
2254#41—24no—
2255#41—44no—
2256#41—44no—
2257#41—42no—
2258#41—42no—
2259#41—44no—
2260#41—44no—
2261#41—10616no—
2262#41—1068no—
2263#41—1064no—
2264#41—1064no—
2265#41—1064no—
2266#41—2124no—
2267#41—2124no—
2268#41—2122no—
2269#41—2122no—
2270#41—2124no—
2271#41—2124no—
2272#41—2128no—
2273#41—2128no—
2274#41—2124no—
2275#41—2128no—
2276#41—2128no—
2277#41—2124no—
2278#41—2124no—
2279#41—2128no—
2280#41—2128no—
2281#41—2128no—
2282#41—2124no—
2283#41—2124no—
2284C2×Q8—42no—
2285C2×Q8—532no—
2286C2×Q8—531no—
2287C2×Q8—534no—
2288C2×Q8—531no—
2289C2×Q8—531no—
2290C2×Q8—532no—
2291C2×Q8—534no—
2292C2×Q8—532no—
2293C2×Q8—2122no—
2294C2×Q8—2124no—
2295C2×Q8C23×D5311yescharacteristic
2296C2×Q8C23×D5311yescharacteristic
2297C2×Q8C23×D5311yescharacteristic
2298C2×Q8C23×D5312yes—
2299C2×D4—24no—
2300C2×D4—42no—
2301C2×D4—44no—
2302C2×D4—44no—
2303C2×D4—44no—
2304C2×D4—44no—
2305C2×D4—48no—
2306C2×D4—48no—
2307C2×D4—532no—
2308C2×D4—532no—
2309C2×D4—534no—
2310C2×D4—534no—
2311C2×D4—532no—
2312C2×D4—532no—
2313C2×D4—532no—
2314C2×D4—532no—
2315C2×D4—532no—
2316C2×D4—532no—
2317C2×D4—532no—
2318C2×D4—532no—
2319C2×D4—532no—
2320C2×D4—534no—
2321C2×D4—532no—
2322C2×D4—532no—
2323C2×D4—532no—
2324C2×D4—532no—
2325C2×D4—534no—
2326C2×D4—534no—
2327C2×D4—534no—
2328C2×D4—534no—
2329C2×D4—534no—
2330C2×D4—534no—
2331C2×D4—534no—
2332C2×D4—534no—
2333C2×D4—532no—
2334C2×D4—534no—
2335C2×D4—532no—
2336C2×D4—534no—
2337C2×D4—534no—
2338C2×D4—534no—
2339C2×D4—534no—
2340C2×D4—531no—
2341C2×D4—532no—
2342C2×D4—532no—
2343C2×D4—531no—
2344C2×D4—531no—
2345C2×D4—534no—
2346C2×D4—532no—
2347C2×D4—534no—
2348C2×D4—534no—
2349C2×D4—534no—
2350C2×D4—534no—
2351C2×D4—1068no—
2352C2×D4—1064no—
2353C2×D4—2122no—
2354C2×D4—2124no—
2355C2×D4—2124no—
2356C2×D4—2124no—
2357C2×D4—2124no—
2358C2×D4—2124no—
2359C2×D4—2124no—
2360C2×D4—2128no—
2361C2×D4—2128no—
2362C2×D4—2128no—
2363C2×D4—2124no—
2364C2×D4—2124no—
2365C2×D4—2128no—
2366C2×D4—2124no—
2367C2×D4—2128no—
2368C2×D4—2128no—
2369C2×D4—2128no—
2370C2×D4—2128no—
2371C2×D4—2128no—
2372C2×D4—2128no—
2373C2×D4—2124no—
2374C2×D4—2124no—
2375C2×D4—2128no—
2376C2×D4—2128no—
2377C2×D4C23×D5312yes—
2378C2×D4C23×D5312yes—
2379C2×D4C23×D5311yescharacteristic
2380C2×D4C23×D5312yes—
2381C2×D4C23×D5311yescharacteristic
2382C2×D4C23×D5312yes—
2383C2×D4C23×D5314yes—
2384C2×D4C23×D5312yes—
2385C2×D4C23×D5312yes—
2386C2×D4C23×D5311yescharacteristic
2387C2×D4C23×D5312yes—
2388C2×D4C23×D5314yes—
2389C2×D4C23×D5314yes—
2390C2×D4C23×D5312yes—
2391C2×D4C23×D5314yes—
2392C2×D4C23×D5312yes—
2393C2×D4C23×D5314yes—
2394C2×D4C23×D5314yes—
2395C2×D4C23×D5314yes—
2396C2×D4C23×D5312yes—
2397C22×C4—24no—
2398C22×C4—44no—
2399C22×C4—531no—
2400C22×C4—531no—
2401C22×C4—531no—
2402C22×C4—531no—
2403C22×C4—531no—
2404C22×C4—531no—
2405C22×C4—531no—
2406C22×C4—531no—
2407C22×C4—531no—
2408C22×C4—532no—
2409C22×C4—532no—
2410C22×C4—534no—
2411C22×C4—531no—
2412C22×C4—531no—
2413C22×C4—531no—
2414C22×C4—532no—
2415C22×C4—532no—
2416C22×C4—534no—
2417C22×C4—534no—
2418C22×C4—534no—
2419C22×C4—532no—
2420C22×C4—532no—
2421C22×C4—532no—
2422C22×C4—534no—
2423C22×C4—532no—
2424C22×C4—532no—
2425C22×C4—534no—
2426C22×C4—532no—
2427C22×C4—532no—
2428C22×C4—534no—
2429C22×C4—534no—
2430C22×C4—534no—
2431C22×C4—534no—
2432C22×C4—1064no—
2433C22×C4—2124no—
2434C22×C4—2124no—
2435C22×C4—2122no—
2436C22×C4—2124no—
2437C22×C4C23×D5311yescharacteristic
2438C22×C4C23×D5311yescharacteristic
2439C22×C4C23×D5311yescharacteristic
2440C22×C4C23×D5311yescharacteristic
2441C22×C4C23×D5311yescharacteristic
2442C22×C4C23×D5312yes—
2443C22×C4C23×D5312yes—
2444C22×C4C23×D5312yes—
2445C22×C4C23×D5312yes—
2446C22×C4C23×D5312yes—
2447C22×C4C23×D5312yes—
2448C22×C4C23×D5314yes—
2449C22×C4C23×D5312yes—
2450C22×C4C23×D5314yes—
2451C22×C4C23×D5311yescharacteristic
2452C4⋊C4—532no—
2453C4⋊C4—531no—
2454C4⋊C4—532no—
2455C4⋊C4—532no—
2456C4⋊C4—532no—
2457C4⋊C4—532no—
2458C4⋊C4—534no—
2459C4⋊C4—532no—
2460C4⋊C4—532no—
2461C4⋊C4—532no—
2462C4⋊C4—532no—
2463C4⋊C4—532no—
2464C4⋊C4—534no—
2465C4⋊C4—532no—
2466C4⋊C4—534no—
2467C4⋊C4—534no—
2468C4⋊C4—534no—
2469C4⋊C4—534no—
2470C4⋊C4—534no—
2471C4⋊C4—534no—
2472C4⋊C4—532no—
2473C4⋊C4—531no—
2474C4⋊C4—532no—
2475C4⋊C4—532no—
2476C4⋊C4—532no—
2477C4⋊C4—532no—
2478C4⋊C4—532no—
2479C4⋊C4—532no—
2480C4⋊C4—532no—
2481C4⋊C4—532no—
2482C4⋊C4—532no—
2483C4⋊C4—532no—
2484C4⋊C4—532no—
2485C4⋊C4—532no—
2486C4⋊C4C23×D5311yescharacteristic
2487C4⋊C4C23×D5312yes—
2488C4⋊C4C23×D5314yes—
2489C4⋊C4C23×D5312yes—
2490C4⋊C4C23×D5314yes—
2491C4⋊C4C23×D5311yescharacteristic
2492C4⋊C4C23×D5312yes—
2493C4⋊C4C23×D5312yes—
2494C22⋊C4—532no—
2495C22⋊C4—532no—
2496C22⋊C4—532no—
2497C22⋊C4—534no—
2498C22⋊C4—534no—
2499C22⋊C4—534no—
2500C22⋊C4—532no—
2501C22⋊C4—532no—
2502C22⋊C4—532no—
2503C22⋊C4—532no—
2504C22⋊C4—534no—
2505C22⋊C4—532no—
2506C22⋊C4—532no—
2507C22⋊C4—534no—
2508C22⋊C4—532no—
2509C22⋊C4—532no—
2510C22⋊C4—532no—
2511C22⋊C4—532no—
2512C22⋊C4—532no—
2513C22⋊C4—534no—
2514C22⋊C4—534no—
2515C22⋊C4—532no—
2516C22⋊C4—532no—
2517C22⋊C4—532no—
2518C22⋊C4—532no—
2519C22⋊C4—532no—
2520C22⋊C4—534no—
2521C22⋊C4—534no—
2522C22⋊C4—534no—
2523C22⋊C4—534no—
2524C22⋊C4—534no—
2525C22⋊C4—534no—
2526C22⋊C4—534no—
2527C22⋊C4—532no—
2528C22⋊C4—532no—
2529C22⋊C4—534no—
2530C22⋊C4—532no—
2531C22⋊C4—534no—
2532C22⋊C4—532no—
2533C22⋊C4—532no—
2534C22⋊C4—534no—
2535C22⋊C4—532no—
2536C22⋊C4—532no—
2537C22⋊C4—532no—
2538C22⋊C4—532no—
2539C22⋊C4—532no—
2540C22⋊C4—534no—
2541C22⋊C4—534no—
2542C22⋊C4—534no—
2543C22⋊C4—534no—
2544C22⋊C4C23×D5312yes—
2545C22⋊C4C23×D5314yes—
2546C22⋊C4C23×D5314yes—
2547C22⋊C4C23×D5314yes—
2548C22⋊C4C23×D5314yes—
2549C22⋊C4C23×D5314yes—
2550C22⋊C4C23×D5312yes—
2551C22⋊C4C23×D5312yes—
2552C22⋊C4C23×D5314yes—
2553C22⋊C4C23×D5312yes—
2554C22⋊C4C23×D5312yes—
2555C22⋊C4C23×D5314yes—
2556C42—531no—
2557C42—531no—
2558C42—531no—
2559C42—531no—
2560C42—531no—
2561C42—531no—
2562C42—531no—
2563C42—531no—
2564C42—531no—
2565C42—531no—
2566C42—531no—
2567C42—531no—
2568C42—531no—
2569C42—531no—
2570C42—531no—
2571C42—531no—
2572C42—532no—
2573C42—532no—
2574C42—532no—
2575C42—532no—
2576C42—532no—
2577C42—534no—
2578C42—534no—
2579C42—534no—
2580C42C23×D5312yes—
2581C42C23×D5314yes—
2582C23—22no—
2583C23—22no—
2584C23—24no—
2585C23—24no—
2586C23—41no—
2587C23—42no—
2588C23—42no—
2589C23—42no—
2590C23—42no—
2591C23—44no—
2592C23—44no—
2593C23—44no—
2594C23—532no—
2595C23—534no—
2596C23—532no—
2597C23—532no—
2598C23—1064no—
2599C23—1064no—
2600C23—2124no—
2601C23—2124no—
2602C23—2124no—
2603C23—2124no—
2604C23—2124no—
2605C23—2124no—
2606C23—2124no—
2607C23—2124no—
2608C23—2124no—
2609C23—2122no—
2610C23—2122no—
2611C23—2122no—
2612C23—2122no—
2613C23C24×D5312yes—
2614C23C24×D5312yes—
2615C23C24×D5312yes—
2616C23C24×D5314yes—
2617C23C24×D5311yescharacteristic
2618C23C24×D5311yescharacteristic
2619C23C24×D5311yescharacteristic
2620Q8—22no—
2621Q8—22no—
2622Q8—22no—
2623Q8—42no—
2624Q8—1068no—
2625Q8—1064no—
2626Q8—1062no—
2627Q8—1062no—
2628Q8—1062no—
2629Q8—2124no—
2630Q8—2122no—
2631Q8—2122no—
2632D4—24no—
2633D4—28no—
2634D4—24no—
2635D4—24no—
2636D4—24no—
2637D4—24no—
2638D4—24no—
2639D4—22no—
2640D4—22no—
2641D4—22no—
2642D4—44no—
2643D4—44no—
2644D4—44no—
2645D4—44no—
2646D4—42no—
2647D4—42no—
2648D4—42no—
2649D4—44no—
2650D4—44no—
2651D4—42no—
2652D4—1064no—
2653D4—1064no—
2654D4—1064no—
2655D4—1064no—
2656D4—1064no—
2657D4—1068no—
2658D4—1064no—
2659D4—1064no—
2660D4—1068no—
2661D4—1064no—
2662D4—1068no—
2663D4—1064no—
2664D4—1064no—
2665D4—1064no—
2666D4—1064no—
2667D4—1064no—
2668D4—1062no—
2669D4—1062no—
2670D4—1062no—
2671D4—2124no—
2672D4—2124no—
2673D4—2124no—
2674D4—2124no—
2675D4—2124no—
2676D4—2122no—
2677D4—2122no—
2678D4—2124no—
2679D4—2122no—
2680D4—2124no—
2681D4—2124no—
2682D4—2124no—
2683D4—2124no—
2684D4—2124no—
2685D4—2124no—
2686D4—2124no—
2687D4—2124no—
2688D4—2124no—
2689D4—2124no—
2690D4—2124no—
2691D4—2124no—
2692D4—2122no—
2693D4—2122no—
2694D4—2122no—
2695D4—2122no—
2696C2×C4—22no—
2697C2×C4—22no—
2698C2×C4—22no—
2699C2×C4—22no—
2700C2×C4—22no—
2701C2×C4—24no—
2702C2×C4—24no—
2703C2×C4—24no—
2704C2×C4—42no—
2705C2×C4—42no—
2706C2×C4—42no—
2707C2×C4—42no—
2708C2×C4—44no—
2709C2×C4—44no—
2710C2×C4—534no—
2711C2×C4—531no—
2712C2×C4—531no—
2713C2×C4—531no—
2714C2×C4—532no—
2715C2×C4—531no—
2716C2×C4—531no—
2717C2×C4—531no—
2718C2×C4—531no—
2719C2×C4—531no—
2720C2×C4—534no—
2721C2×C4—532no—
2722C2×C4—532no—
2723C2×C4—532no—
2724C2×C4—532no—
2725C2×C4—1068no—
2726C2×C4—1064no—
2727C2×C4—1064no—
2728C2×C4—1062no—
2729C2×C4—1062no—
2730C2×C4—1062no—
2731C2×C4—1062no—
2732C2×C4—1062no—
2733C2×C4—1062no—
2734C2×C4—1068no—
2735C2×C4—1062no—
2736C2×C4—1064no—
2737C2×C4—1064no—
2738C2×C4—1062no—
2739C2×C4—1064no—
2740C2×C4—1064no—
2741C2×C4—1064no—
2742C2×C4—2124no—
2743C2×C4—2122no—
2744C2×C4—2122no—
2745C2×C4—2124no—
2746C2×C4—2124no—
2747C2×C4—2124no—
2748C2×C4—2124no—
2749C2×C4—2121no—
2750C2×C4—2121no—
2751C2×C4—2121no—
2752C2×C4—2122no—
2753C2×C4—2122no—
2754C2×C4—2124no—
2755C2×C4—2124no—
2756C2×C4—2124no—
2757C2×C4#1313326214yescomplemented
2758C2×C4C24×D5311yescharacteristic
2759C2×C4C24×D5311yescharacteristic
2760C2×C4C24×D5312yes—
2761C2×C4C24×D5312yes—
2762C2×C4C24×D5312yes—
2763C2×C4C24×D5314yes—
2764C2×C4C24×D5312yes—
2765C2×C4C24×D5312yes—
2766C2×C4C24×D5311yescharacteristic
2767C2×C4C24×D5311yescharacteristic
2768C22—21no—
2769C22—21no—
2770C22—21no—
2771C22—21no—
2772C22—22no—
2773C22—21no—
2774C22—24no—
2775C22—22no—
2776C22—22no—
2777C22—21no—
2778C22—22no—
2779C22—22no—
2780C22—22no—
2781C22—24no—
2782C22—21no—
2783C22—22no—
2784C22—22no—
2785C22—24no—
2786C22—22no—
2787C22—44no—
2788C22—84no—
2789C22—84no—
2790C22—164no—
2791C22—8484no—
2792C22—8484no—
2793C22—8484no—
2794C22—1064no—
2795C22—1062no—
2796C22—1062no—
2797C22—1062no—
2798C22—1062no—
2799C22—1062no—
2800C22—1062no—
2801C22—1064no—
2802C22—1062no—
2803C22—1062no—
2804C22—1064no—
2805C22—1062no—
2806C22—4244no—
2807C22—4244no—
2808C22H(5,𝔽2)×D5312yes—
2809C22C2×#1313326212yes—
2810C22C25×D5311yescharacteristic
2811C4—22no—
2812C4—24no—
2813C4—21no—
2814C4—21no—
2815C4—22no—
2816C4—22no—
2817C4—22no—
2818C4—22no—
2819C4—532no—
2820C4—532no—
2821C4—532no—
2822C4—1061no—
2823C4—1061no—
2824C4—1062no—
2825C4—1064no—
2826C4—1062no—
2827C4—1062no—
2828C4—1062no—
2829C4—1061no—
2830C4—1061no—
2831C4—1061no—
2832C4—1062no—
2833C4C2×#1313326212yes—
2834C4C2×#1313326212yes—
2835C2—22no—
2836C2—22no—
2837C2—41no—
2838C2—42no—
2839C2—44no—
2840C2—42no—
2841C2—42no—
2842C2—2122no—
2843C2—2124no—
2844C2—2122no—
2845C2—2122no—
2846C2C2×H(5,𝔽2)×D5311yescharacteristic
2847C2C22×#1313326211yescharacteristic
2848C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3488C2
hypercenter#3488D53
hypocenterC53#62834
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #20289232C2semidirect
2. #20289229C2semidirect
3. #20289225C2semidirect
4. #20289118C2semidirect
5. #20289110C2semidirect
6. #20289085C2semidirect
7. #20289082C2semidirect
8. #20289077C2semidirect
9. #20289074C2semidirect
10. #20288945C2semidirect
11. #20288741C2semidirect
12. #20288736C2semidirect
13. #20288735C2semidirect
14. #20288624C2semidirect
15. #20288621C2semidirect
16. #20288618C2semidirect
17. #20288585C2semidirect
18. #20288583C2semidirect
19. #20288566C2semidirect
20. #20288560C2semidirect
21. #20288558C2semidirect
22. #20288490C2semidirect
23. #20288489C2semidirect
24. #20288487C2semidirect
25. #20288478C2semidirect
26. #20288474C2semidirect
27. #20288472C2semidirect
28. #20288384C2semidirect
29. #20288380C2semidirect
30. #20288376C2semidirect
31. #20288375C2semidirect
32. #20288007C2semidirect
33. C2×#16811169C2semidirect
34. C2×#16811168C2semidirect
35. C53×#3488C2semidirect
36. C2×#13133263C22semidirect
37. C2×#13133263C22semidirect
38. C2×#13133262C22semidirect
39. C2×#13133262C22semidirect
40. C22×#11719945C22semidirect
41. C22×#11719947C22semidirect
42. #16811369C22semidirect
43. #16811368C22semidirect
44. #16811366C22semidirect
45. #16811365C22semidirect
46. #16811362C22semidirect
47. #16811361C22semidirect
48. #16811361C22semidirect
49. #16811360C22semidirect
50. #16811359C22semidirect
51. #16811358C22semidirect
52. #16811357C22semidirect
53. #16811356C22semidirect
54. #16811356C22semidirect
55. #16811355C22semidirect
56. #16811345C22semidirect
57. #16811344C22semidirect
58. #16811342C22semidirect
59. #16811341C22semidirect
60. #16811337C22semidirect
61. #16811337C22semidirect
62. #16811336C22semidirect
63. #16811336C22semidirect
64. #16811335C22semidirect
65. #16811331C22semidirect
66. #16811328C22semidirect
67. #16811327C22semidirect
68. #16811325C22semidirect
69. #16811322C22semidirect
70. #16811322C22semidirect
71. #16811322C22semidirect
72. #16811321C22semidirect
73. #16811320C22semidirect
74. #16811318C22semidirect
75. #16811317C22semidirect
76. #16811316C22semidirect
77. #16811316C22semidirect
78. #16811294C22semidirect
79. #16811294C22semidirect
80. #16811293C22semidirect
81. #16811293C22semidirect
82. #16811292C22semidirect
83. #16811292C22semidirect
84. #16811292C22semidirect
85. #16811291C22semidirect
86. #16811291C22semidirect
87. #16811291C22semidirect
88. #16811291C22semidirect
89. #16811291C22semidirect
90. #16811284C22semidirect
91. #16811282C22semidirect
92. #16811282C22semidirect
93. #16811279C22semidirect
94. #16811279C22semidirect
95. #16811275C22semidirect
96. #16811275C22semidirect
97. #16811274C22semidirect
98. #16811274C22semidirect
99. #16811273C22semidirect
100. #16811273C22semidirect
101. #16811272C22semidirect
102. #16811272C22semidirect
103. #16811270C22semidirect
104. #16811270C22semidirect
105. #16811270C22semidirect
106. #16811269C22semidirect
107. #16811268C22semidirect
108. #16811267C22semidirect
109. #16811267C22semidirect
110. #16811267C22semidirect
111. #16811265C22semidirect
112. #16811264C22semidirect
113. #16811264C22semidirect
114. #16811263C22semidirect
115. #16811263C22semidirect
116. #16811263C22semidirect
117. #16811262C22semidirect
118. #16811262C22semidirect
119. #16811262C22semidirect
120. #16811262C22semidirect
121. #16811261C22semidirect
122. #16811261C22semidirect
123. #16811261C22semidirect
124. #16811261C22semidirect
125. #16811260C22semidirect
126. #16811260C22semidirect
127. D4×D212C22semidirect
128. #16811257C22semidirect
129. #16811257C22semidirect
130. #16811257C22semidirect
131. #16811257C22semidirect
132. #16811257C22semidirect
133. D4×C22⋊D53C22semidirect
134. D4×C22⋊D53C22semidirect
135. D4×C22⋊D53C22semidirect
136. D4×C22⋊D53C22semidirect
137. D4×C22⋊D53C22semidirect
138. D4×C22⋊D53C22semidirect
139. D4×C22⋊D53C22semidirect
140. D4×C22⋊D53C22semidirect
141. D4×C22⋊D53C22semidirect
142. D4×C22⋊D53C22semidirect
143. #16811255C22semidirect
144. #16811255C22semidirect
145. #16811255C22semidirect
146. #16811255C22semidirect
147. #16811255C22semidirect
148. #16811246C22semidirect
149. #16811245C22semidirect
150. #16811243C22semidirect
151. #16811240C22semidirect
152. #16811238C22semidirect
153. #16811237C22semidirect
154. #16811225C22semidirect
155. #16811223C22semidirect
156. #16811223C22semidirect
157. #16811223C22semidirect
158. #16811213C22semidirect
159. #16811211C22semidirect
160. #16811209C22semidirect
161. #16811208C22semidirect
162. #16811208C22semidirect
163. #16811208C22semidirect
164. #16811207C22semidirect
165. #16811206C22semidirect
166. #16811206C22semidirect
167. #16811206C22semidirect
168. #16811205C22semidirect
169. #16811205C22semidirect
170. #16811204C22semidirect
171. #16811203C22semidirect
172. #16811202C22semidirect
173. #16811202C22semidirect
174. #16811201C22semidirect
175. #16811201C22semidirect
176. #16811201C22semidirect
177. #16811200C22semidirect
178. #16811200C22semidirect
179. #16811192C22semidirect
180. #16811191C22semidirect
181. #16811190C22semidirect
182. #16811190C22semidirect
183. #16811189C22semidirect
184. #16811189C22semidirect
185. #16811189C22semidirect
186. #16811188C22semidirect
187. #16811188C22semidirect
188. #16811188C22semidirect
189. #16811188C22semidirect
190. #16811187C22semidirect
191. #16811187C22semidirect
192. #16811187C22semidirect
193. #16811186C22semidirect
194. #16811186C22semidirect
195. #16811186C22semidirect
196. #16811182C22semidirect
197. #16811182C22semidirect
198. #16811181C22semidirect
199. #16811181C22semidirect
200. #16811177C22semidirect
201. #16811176C22semidirect
202. #16811175C22semidirect
203. #16811175C22semidirect
204. #16811175C22semidirect
205. #16811172C22semidirect
206. #16811170C22semidirect
207. #16811169C22semidirect
208. #16811169C22semidirect
209. #16811169C22semidirect
210. #16811169C22semidirect
211. #16811169C22semidirect
212. #16811169C22semidirect
213. #16811169C22semidirect
214. #16811169C22semidirect
215. #16811169C22semidirect
216. #16811169C22semidirect
217. #16811169C22semidirect
218. #16811169C22semidirect
219. #16811169C22semidirect
220. #16811169C22semidirect
221. #16811168C22semidirect
222. #16811168C22semidirect
223. #16811168C22semidirect
224. #16811168C22semidirect
225. #16811168C22semidirect
226. #16811168C22semidirect
227. #16811168C22semidirect
228. #16811168C22semidirect
229. #16811168C22semidirect
230. #16811168C22semidirect
231. #16811168C22semidirect
232. C2×#13133216C22semidirect
233. C2×#13133215C22semidirect
234. C2×#13133213C22semidirect
235. C2×#13133213C22semidirect
236. C2×#13133213C22semidirect
237. #127×D53C22semidirect
238. #16811159C22semidirect
239. #16811159C22semidirect
240. #16811154C22semidirect
241. #16811154C22semidirect
242. #16811153C22semidirect
243. #16811153C22semidirect
244. #16811150C22semidirect
245. #16811150C22semidirect
246. C2×#13133206C22semidirect
247. C2×#13133204C22semidirect
248. C2×#13133203C22semidirect
249. #16811136C22semidirect
250. #16811134C22semidirect
251. #16811134C22semidirect
252. #16811133C22semidirect
253. #16811132C22semidirect
254. #16811129C22semidirect
255. #16811129C22semidirect
256. #16811129C22semidirect
257. C2×#13133191C22semidirect
258. C2×#13133191C22semidirect
259. C2×#13133189C22semidirect
260. C2×#13133189C22semidirect
261. C2×#13133189C22semidirect
262. C2×#13133189C22semidirect
263. #121×D53C22semidirect
264. #121×D53C22semidirect
265. #121×D53C22semidirect
266. #16811106C22semidirect
267. #16811104C22semidirect
268. #16811103C22semidirect
269. #16811102C22semidirect
270. #16811096C22semidirect
271. #16811095C22semidirect
272. #41×Dic53C22semidirect
273. #16811091C22semidirect
274. C4×#11719947C22semidirect
275. C4×#11719947C22semidirect
276. C2×D4×Dic53C22semidirect
277. C2×#13133179C22semidirect
278. C2×C4×C22⋊D53C22semidirect
279. C2×C4×C22⋊D53C22semidirect
280. C2×#13133177C22semidirect
281. C22×C4×Dic53C22semidirect
282. C2×H(5,𝔽2)×C53C22semidirect
283. C22×#41×C53C22semidirect
284. C53×#550C22semidirect
285. C53×#548C22semidirect
286. C53×#546C22semidirect
287. C53×#546C22semidirect
288. D42×C53C22semidirect
289. D42×C53C22semidirect
290. C53×#537C22semidirect
291. C53×#537C22semidirect
292. C53×#535C22semidirect
293. C53×#535C22semidirect
294. C53×#525C22semidirect
295. C53×#525C22semidirect
296. C2×#121×C53C22semidirect
297. C2×#121×C53C22semidirect
298. C53×#520C22semidirect
1233. C2×C4×C53H(5,𝔽2)semidirect
1296. C2×Dic53H(5,𝔽2)semidirect
1442. #3488D53semidirect
1464. C2×H(5,𝔽2)C2×D53semidirect
1467. C22×#41C2×D53semidirect
1516. #550C2×D53semidirect
1522. #548C2×D53semidirect
1555. #546C2×D53semidirect
1556. #546C2×D53semidirect
1578. D42C2×D53semidirect
1579. D42C2×D53semidirect
1611. #537C2×D53semidirect
1612. #537C2×D53semidirect
1630. #535C2×D53semidirect
1631. #535C2×D53semidirect
1693. #525C2×D53semidirect
1694. #525C2×D53semidirect
1704. C2×#121C2×D53semidirect
1705. C2×#121C2×D53semidirect
1710. #520C2×D53semidirect
1723. C53#62834semidirect
2757. C2×C4#13133262semidirect

Maximal subgroups

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

subgroupindex
#202892322
#202892292
#202892252
#202891182
#202891102
#202890852
#202890822
#202890772
#202890742
#202889452
#202887412
#202887362
#202887352
#202886242
#202886212
#202886182
#202885852
#202885832
#202885662
#202885602
#202885582
#202884902
#202884892
#202884872
#202884782
#202884742
#202884722
#202883842
#202883802
#202883762
#202883752
#202880072
C2×#168111692
C2×#168111682
C53×#34882
#6283453