Finite Group Databasebeta

← #28292987

Subgroups — #28292987

Order 13568.

7900 conjugacy classes of subgroups.

The subgroup lattice has 2824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289233C212yesmaximal, complemented
2#20289230C212yesmaximal, complemented
3#20289226C214yesmaximal, complemented
4#20289118C212yesmaximal, complemented
5#20289110C212yesmaximal, complemented
6#20289089C211yesmaximal, characteristic, complemented
7#20289087C211yesmaximal, characteristic, complemented
8#20289081C211yesmaximal, characteristic, complemented
9#20289078C214yesmaximal, complemented
10#20288949C214yesmaximal, complemented
11#20288744C212yesmaximal, complemented
12#20288740C212yesmaximal, complemented
13#20288739C214yesmaximal, complemented
14#20288625C211yesmaximal, characteristic, complemented
15#20288620C212yesmaximal, complemented
16#20288619C211yesmaximal, characteristic, complemented
17#20288585C212yesmaximal, complemented
18#20288583C212yesmaximal, complemented
19#20288568C211yesmaximal, characteristic, complemented
20#20288561C212yesmaximal, complemented
21#20288559C211yesmaximal, characteristic, complemented
22#20288492C211yesmaximal, characteristic, complemented
23#20288490C212yesmaximal, complemented
24#20288487C211yesmaximal, characteristic, complemented
25#20288475C212yesmaximal, complemented
26#20288473C211yesmaximal, characteristic, complemented
27#20288471C211yesmaximal, characteristic, complemented
28#20288383C212yesmaximal, complemented
29#20288382C212yesmaximal, complemented
30#20288379C212yesmaximal, complemented
31#20288378C212yesmaximal, complemented
32#20288009C211yesmaximal, characteristic, complemented
33#532×D53C211yesmaximal, characteristic, complemented
34#532×D53C211yesmaximal, characteristic, complemented
35C53×#3546C211yesmaximal, characteristic, complemented
36C2×#13133263C2212yescomplemented
37C2×#13133263C2212yescomplemented
38C2×#13133262C2212yescomplemented
39C2×#13133262C2212yescomplemented
40C2×#41×D53C2212yescomplemented
41C2×#41×D53C2212yescomplemented
42#16811369C2214yescomplemented
43#16811368C2214yescomplemented
44#16811366C2214yescomplemented
45#16811365C2214yescomplemented
46#16811363C2214yescomplemented
47#16811361C2214yescomplemented
48#16811361C2214yescomplemented
49#16811359C2212yescomplemented
50#16811358C2212yescomplemented
51#16811357C2214yescomplemented
52#16811356C2212yescomplemented
53#16811356C2214yescomplemented
54#16811355C2212yescomplemented
55#16811347C2211yescharacteristic, complemented
56#16811346C2211yescharacteristic, complemented
57#16811343C2211yescharacteristic, complemented
58#16811340C2214yescomplemented
59#16811337C2212yescomplemented
60#16811337C2212yescomplemented
61#16811336C2212yescomplemented
62#16811336C2212yescomplemented
63#16811335C2214yescomplemented
64#16811331C2212yescomplemented
65#16811328C2212yescomplemented
66#16811327C2214yescomplemented
67#16811326C2212yescomplemented
68#16811324C2214yescomplemented
69#16811324C2214yescomplemented
70#16811324C2214yescomplemented
71#16811323C2212yescomplemented
72#16811319C2212yescomplemented
73#16811318C2214yescomplemented
74#16811318C2214yescomplemented
75#16811316C2214yescomplemented
76#16811295C2211yescharacteristic, complemented
77#16811294C2211yescharacteristic, complemented
78#16811294C2212yescomplemented
79#16811293C2211yescharacteristic, complemented
80#16811293C2214yescomplemented
81#16811292C2212yescomplemented
82#16811292C2212yescomplemented
83#16811291C2214yescomplemented
84#16811291C2214yescomplemented
85#16811291C2212yescomplemented
86#16811291C2214yescomplemented
87#16811291C2212yescomplemented
88#16811285C2212yescomplemented
89#16811283C2214yescomplemented
90#16811283C2212yescomplemented
91#16811281C2212yescomplemented
92#16811281C2214yescomplemented
93#16811280C2212yescomplemented
94#16811278C2211yescharacteristic, complemented
95#16811277C2211yescharacteristic, complemented
96#16811276C2211yescharacteristic, complemented
97#16811275C2212yescomplemented
98#16811274C2212yescomplemented
99#16811273C2212yescomplemented
100#16811272C2212yescomplemented
101#16811271C2214yescomplemented
102#16811270C2212yescomplemented
103#16811270C2212yescomplemented
104#16811270C2214yescomplemented
105#16811269C2212yescomplemented
106#16811269C2212yescomplemented
107#16811269C2214yescomplemented
108#16811268C2212yescomplemented
109#16811267C2212yescomplemented
110#16811266C2212yescomplemented
111#16811266C2214yescomplemented
112#16811265C2214yescomplemented
113#16811265C2214yescomplemented
114#16811264C2212yescomplemented
115#16811264C2214yescomplemented
116#16811263C2214yescomplemented
117#16811263C2214yescomplemented
118#16811262C2214yescomplemented
119#16811262C2214yescomplemented
120#16811262C2214yescomplemented
121#16811261C2212yescomplemented
122#16811261C2212yescomplemented
123#16811260C2214yescomplemented
124#16811260C2214yescomplemented
125#16811260C2214yescomplemented
126D4×D212C2211yescharacteristic, complemented
127D4×D212C2211yescharacteristic, complemented
128D4×D212C2212yescomplemented
129#16811258C2211yescharacteristic, complemented
130#16811258C2214yescomplemented
131#16811258C2212yescomplemented
132#16811257C2212yescomplemented
133#16811257C2212yescomplemented
134#16811257C2214yescomplemented
135#16811257C2214yescomplemented
136#16811257C2214yescomplemented
137#16811257C2212yescomplemented
138#16811257C2214yescomplemented
139#16811257C2214yescomplemented
140D4×C22⋊D53C2212yescomplemented
141D4×C22⋊D53C2212yescomplemented
142D4×C22⋊D53C2212yescomplemented
143#16811255C2214yescomplemented
144#16811255C2214yescomplemented
145#16811255C2214yescomplemented
146#16811255C2214yescomplemented
147#16811255C2214yescomplemented
148#16811255C2214yescomplemented
149#16811247C2212yescomplemented
150#16811244C2212yescomplemented
151#16811242C2212yescomplemented
152#16811241C2214yescomplemented
153#16811239C2214yescomplemented
154#16811225C2214yescomplemented
155#16811223C2214yescomplemented
156#16811223C2214yescomplemented
157#16811223C2214yescomplemented
158#16811212C2214yescomplemented
159#16811212C2214yescomplemented
160#16811212C2214yescomplemented
161#16811212C2214yescomplemented
162#16811210C2214yescomplemented
163#16811209C2214yescomplemented
164#16811208C2214yescomplemented
165#16811207C2214yescomplemented
166#16811206C2214yescomplemented
167#16811205C2214yescomplemented
168#16811205C2214yescomplemented
169#16811203C2212yescomplemented
170#16811203C2212yescomplemented
171#16811203C2212yescomplemented
172#16811202C2214yescomplemented
173#16811202C2212yescomplemented
174#16811202C2212yescomplemented
175#16811202C2212yescomplemented
176#16811201C2212yescomplemented
177#16811200C2214yescomplemented
178#16811192C2212yescomplemented
179#16811191C2212yescomplemented
180#16811191C2212yescomplemented
181#16811189C2212yescomplemented
182#16811189C2212yescomplemented
183#16811189C2214yescomplemented
184#16811189C2212yescomplemented
185#16811189C2212yescomplemented
186#16811188C2214yescomplemented
187#16811188C2214yescomplemented
188#16811188C2214yescomplemented
189#16811187C2212yescomplemented
190#16811186C2212yescomplemented
191#16811186C2214yescomplemented
192#16811186C2212yescomplemented
193#16811186C2214yescomplemented
194#16811184C2214yescomplemented
195#16811184C2214yescomplemented
196#16811183C2214yescomplemented
197#16811183C2214yescomplemented
198#16811179C2211yescharacteristic, complemented
199#16811177C2211yescharacteristic, complemented
200#16811177C2212yescomplemented
201#16811175C2211yescharacteristic, complemented
202#16811175C2212yescomplemented
203#16811174C2211yescharacteristic, complemented
204#16811174C2211yescharacteristic, complemented
205#16811173C2211yescharacteristic, complemented
206#16811173C2211yescharacteristic, complemented
207#16811172C2211yescharacteristic, complemented
208#16811172C2212yescomplemented
209#16811172C2212yescomplemented
210#16811172C2212yescomplemented
211#16811171C2211yescharacteristic, complemented
212#16811171C2211yescharacteristic, complemented
213#16811170C2211yescharacteristic, complemented
214#16811170C2212yescomplemented
215#16811170C2212yescomplemented
216#16811170C2211yescharacteristic, complemented
217#16811170C2211yescharacteristic, complemented
218#16811170C2212yescomplemented
219#16811170C2212yescomplemented
220#16811169C2212yescomplemented
221#16811169C2212yescomplemented
222#16811169C2212yescomplemented
223#16811168C2211yescharacteristic, complemented
224#16811168C2212yescomplemented
225#16811168C2212yescomplemented
226#16811168C2211yescharacteristic, complemented
227#16811168C2211yescharacteristic, complemented
228#16811168C2212yescomplemented
229#16811168C2212yescomplemented
230C4⋊Q8×D53C2211yescharacteristic, complemented
231C4⋊Q8×D53C2211yescharacteristic, complemented
232C2×#13133213C2212yescomplemented
233#127×D53C2212yescomplemented
234#127×D53C2211yescharacteristic, complemented
235#127×D53C2211yescharacteristic, complemented
236#16811158C2211yescharacteristic, complemented
237#16811157C2211yescharacteristic, complemented
238#16811156C2212yescomplemented
239#16811156C2212yescomplemented
240#16811152C2211yescharacteristic, complemented
241#16811151C2212yescomplemented
242#16811150C2212yescomplemented
243#124×D53C2212yescomplemented
244#124×D53C2212yescomplemented
245#16811136C2211yescharacteristic, complemented
246#16811136C2212yescomplemented
247#16811135C2212yescomplemented
248#16811133C2211yescharacteristic, complemented
249#16811133C2212yescomplemented
250#16811132C2212yescomplemented
251#16811132C2214yescomplemented
252#16811131C2212yescomplemented
253#16811131C2214yescomplemented
254#16811130C2212yescomplemented
255C2×#13133192C2212yescomplemented
256C2×#13133190C2214yescomplemented
257C2×#13133188C2212yescomplemented
258#121×D53C2211yescharacteristic, complemented
259#121×D53C2212yescomplemented
260#121×D53C2212yescomplemented
261#121×D53C2212yescomplemented
262#121×D53C2211yescharacteristic, complemented
263#121×D53C2214yescomplemented
264#121×D53C2212yescomplemented
265#121×D53C2212yescomplemented
266#16811105C2212yescomplemented
267#16811104C2212yescomplemented
268#16811103C2212yescomplemented
269#16811102C2212yescomplemented
270#16811096C2214yescomplemented
271#16811095C2214yescomplemented
272C4×#11719949C2211yescharacteristic, complemented
273#16811091C2212yescomplemented
274C4×#11719947C2212yescomplemented
275C4×#11719947C2211yescharacteristic, complemented
276C4×D4×D53C2211yescharacteristic, complemented
277C4×D4×D53C2212yescomplemented
278C4×D4×D53C2211yescharacteristic, complemented
279C4×D4×D53C2212yescomplemented
280C4×D4×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#560C2214yescomplemented
283C53×#556C2211yescharacteristic, complemented
284C53×#553C2212yescomplemented
285C53×#550C2211yescharacteristic, complemented
286C53×#550C2212yescomplemented
287C53×#547C2211yescharacteristic, complemented
288C53×#546C2212yescomplemented
289C53×#546C2212yescomplemented
290D42×C53C2211yescharacteristic, complemented
291C53×#542C2212yescomplemented
292C53×#538C2214yescomplemented
293C53×#537C2212yescomplemented
294C53×#535C2212yescomplemented
295C53×#535C2212yescomplemented
296C53×#532C2211yescharacteristic, complemented
297C53×#532C2211yescharacteristic, complemented
298C53×#529C2211yescharacteristic, complemented
299#13133263—48no—
300#13133263—48no—
301#13133262—48no—
302#13133262—48no—
303C2×#11719949C2311yescharacteristic
304C2×#11719949C2312yes—
305C2×#11719949C2312yes—
306C2×#11719949C2312yes—
307C2×#11719949C2312yes—
308C2×#11719945C2312yes—
309C2×#11719945C2312yes—
310C2×#11719945C2312yes—
311C2×#11719945C2314yes—
312C2×#11719945C2314yes—
313C2×#11719945C2312yes—
314C2×#11719945C2312yes—
315C2×#11719945C2312yes—
316C2×#11719945C2314yes—
317C2×#11719945C2312yes—
318C2×#11719947C2311yescharacteristic
319C2×#11719947C2312yes—
320C2×#11719947C2312yes—
321C2×#11719947C2312yes—
322C2×#11719947C2314yes—
323C2×#11719947C2314yes—
324C2×#11719947C2312yes—
325C2×#11719947C2312yes—
326C2×#11719947C2312yes—
327C2×#11719947C2314yes—
328C2×#11719947C2312yes—
329#41×D53—48no—
330#41×D53—48no—
331C2×Q8×D53C2312yes—
332C2×Q8×D53C2312yes—
333C22×D212C2312yes—
334C22×D212C2314yes—
335C22×D212C2314yes—
336C22×D212C2312yes—
337C22×C22⋊D53C2314yes—
338C22×C22⋊D53C2314yes—
339C22×C22⋊D53C2314yes—
340C22×C22⋊D53C2314yes—
341C22×C22⋊D53C2314yes—
342C2×D4×D53C2311yescharacteristic
343C2×D4×D53C2312yes—
344C2×D4×D53C2311yescharacteristic
345C2×D4×D53C2314yes—
346C2×D4×D53C2314yes—
347C2×D4×D53C2314yes—
348C2×D4×D53C2312yes—
349C2×D4×D53C2312yes—
350C2×D4×D53C2314yes—
351C2×D4×D53C2312yes—
352C2×D4×D53C2312yes—
353C2×D4×D53C2312yes—
354C2×D4×D53C2312yes—
355C2×D4×D53C2314yes—
356C2×D4×D53C2312yes—
357C2×D4×D53C2314yes—
358C2×D4×D53C2312yes—
359C2×D4×D53C2314yes—
360C2×D4×D53C2312yes—
361C2×D4×D53C2312yes—
362C2×D4×D53C2314yes—
363C22×C4×D53C2311yescharacteristic
364C22×C4×D53C2311yescharacteristic
365C22×C4×D53C2311yescharacteristic
366C22×C4×D53C2312yes—
367C22×C4×D53C2314yes—
368C22×C4×D53C2312yes—
369#13133217C2311yescharacteristic
370#13133217C2311yescharacteristic
371#13133216C2312yes—
372#13133216C2311yescharacteristic
373#13133216C2312yes—
374#13133216C2311yescharacteristic
375#13133216C2311yescharacteristic
376#13133216C2311yescharacteristic
377#13133216C2312yes—
378#13133215C2311yescharacteristic
379#13133215C2312yes—
380#13133215C2312yes—
381#13133214C2312yes—
382#13133214C2311yescharacteristic
383#13133214C2311yescharacteristic
384#13133213C2314yes—
385#13133213C2314yes—
386#13133213C2312yes—
387#13133213C2312yes—
388#13133213C2314yes—
389#13133213C2314yes—
390#13133213C2312yes—
391#13133213C2314yes—
392#13133213C2314yes—
393#13133213C2312yes—
394#13133213C2312yes—
395#13133213C2314yes—
396#13133213C2311yescharacteristic
397#13133213C2312yes—
398#13133213C2311yescharacteristic
399#13133213C2312yes—
400#13133213C2311yescharacteristic
401#13133212C2314yes—
402#13133212C2314yes—
403#13133212C2314yes—
404#13133212C2314yes—
405#13133212C2312yes—
406#13133211C2312yes—
407#13133210C2314yes—
408#13133210C2314yes—
409#13133210C2312yes—
410#13133209C2311yescharacteristic
411#13133207C2312yes—
412#13133207C2314yes—
413#13133207C2314yes—
414#13133207C2312yes—
415#13133206C2314yes—
416#13133206C2312yes—
417#13133206C2312yes—
418#13133206C2312yes—
419#13133205C2311yescharacteristic
420#13133205C2314yes—
421#13133205C2312yes—
422#13133205C2314yes—
423#13133205C2312yes—
424#13133205C2312yes—
425#13133204C2312yes—
426#13133204C2314yes—
427#13133204C2312yes—
428#13133204C2314yes—
429#13133204C2312yes—
430#13133203C2312yes—
431#13133203C2314yes—
432#13133203C2314yes—
433#13133203C2314yes—
434#13133203C2314yes—
435#13133203C2314yes—
436#13133203C2314yes—
437#13133203C2314yes—
438#13133203C2314yes—
439#13133203C2312yes—
440#13133203C2312yes—
441#13133203C2312yes—
442#13133203C2314yes—
443#13133203C2312yes—
444#13133203C2312yes—
445#13133203C2314yes—
446#13133202C2312yes—
447#13133202C2314yes—
448#13133202C2314yes—
449#13133202C2312yes—
450#13133202C2314yes—
451#13133202C2314yes—
452#13133202C2314yes—
453#13133202C2314yes—
454#13133201C2314yes—
455#13133201C2314yes—
456#13133201C2314yes—
457#13133200C2314yes—
458#13133200C2314yes—
459#13133200C2314yes—
460#13133200C2312yes—
461#13133199C2312yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133199C2312yes—
466#13133199C2314yes—
467#13133199C2314yes—
468#13133199C2314yes—
469#13133198C2314yes—
470#13133198C2314yes—
471#13133198C2314yes—
472#13133197C2312yes—
473#13133197C2312yes—
474#13133197C2314yes—
475#13133197C2311yescharacteristic
476#13133196C2312yes—
477#13133196C2312yes—
478#13133196C2314yes—
479#13133196C2311yescharacteristic
480#13133195C2314yes—
481#13133195C2314yes—
482#13133195C2314yes—
483#13133195C2314yes—
484#13133195C2312yes—
485#13133195C2312yes—
486#13133195C2312yes—
487#13133194C2314yes—
488#13133194C2314yes—
489#13133194C2314yes—
490#13133194C2314yes—
491#13133194C2312yes—
492#13133193C2312yes—
493#13133193C2314yes—
494#13133193C2312yes—
495#13133193C2311yescharacteristic
496#13133192C2314yes—
497#13133192C2314yes—
498#13133192C2314yes—
499#13133192C2312yes—
500#13133192C2314yes—
501#13133192C2312yes—
502#13133192C2312yes—
503#13133192C2311yescharacteristic
504#13133192C2311yescharacteristic
505#13133192C2314yes—
506#13133192C2314yes—
507#13133192C2312yes—
508#13133192C2311yescharacteristic
509#13133192C2312yes—
510#13133192C2312yes—
511#13133192C2312yes—
512#13133191C2314yes—
513#13133191C2311yescharacteristic
514#13133191C2312yes—
515#13133191C2312yes—
516#13133191C2314yes—
517#13133191C2311yescharacteristic
518#13133191C2312yes—
519#13133191C2312yes—
520#13133191C2312yes—
521#13133191C2312yes—
522#13133191C2312yes—
523#13133191C2311yescharacteristic
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#13133190C2314yes—
537#13133190C2314yes—
538#13133190C2314yes—
539#13133190C2314yes—
540#13133190C2314yes—
541#13133190C2312yes—
542#13133190C2314yes—
543#13133190C2312yes—
544#13133190C2314yes—
545#13133190C2314yes—
546#13133190C2312yes—
547#13133190C2312yes—
548#13133190C2312yes—
549#13133190C2312yes—
550#13133190C2312yes—
551#13133189C2314yes—
552#13133189C2314yes—
553#13133189C2314yes—
554#13133189C2314yes—
555#13133189C2314yes—
556#13133189C2314yes—
557#13133189C2314yes—
558#13133189C2314yes—
559#13133189C2314yes—
560#13133189C2314yes—
561#13133189C2314yes—
562#13133189C2314yes—
563#13133189C2314yes—
564#13133189C2314yes—
565#13133189C2314yes—
566#13133189C2312yes—
567#13133189C2312yes—
568#13133189C2314yes—
569#13133189C2312yes—
570#13133189C2312yes—
571#13133189C2312yes—
572#13133188C2314yes—
573#13133188C2312yes—
574#13133188C2312yes—
575#13133188C2314yes—
576#13133188C2314yes—
577#13133188C2314yes—
578#13133188C2312yes—
579#13133188C2311yescharacteristic
580#13133188C2314yes—
581#13133188C2311yescharacteristic
582#13133188C2314yes—
583#13133188C2312yes—
584#13133188C2311yescharacteristic
585#13133188C2312yes—
586#13133188C2312yes—
587#13133188C2312yes—
588#13133187C2314yes—
589#13133187C2314yes—
590#13133187C2314yes—
591#13133187C2314yes—
592#13133187C2314yes—
593#13133187C2314yes—
594#13133187C2314yes—
595#13133187C2314yes—
596#13133187C2314yes—
597#13133187C2314yes—
598#13133187C2314yes—
599#13133187C2312yes—
600#13133187C2314yes—
601#13133186C2314yes—
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#13133185C2312yes—
616#13133185C2314yes—
617#13133185C2314yes—
618Q8×Dic53C2312yes—
619Q8×Dic53C2311yescharacteristic
620C4×Dic106C2314yes—
621C4×Dic106C2312yes—
622C4×Dic106C2311yescharacteristic
623C4×Dic106C2312yes—
624#13133182C2314yes—
625#13133182C2312yes—
626#13133182C2312yes—
627#13133182C2311yescharacteristic
628#13133182C2312yes—
629#13133182C2312yes—
630C4×D212C2312yes—
631C4×D212C2312yes—
632C4×D212C2314yes—
633C4×D212C2314yes—
634C4×D212C2314yes—
635C4×D212C2312yes—
636C4×D212C2311yescharacteristic
637C4×D212C2311yescharacteristic
638C4×D212C2311yescharacteristic
639C4×D212C2312yes—
640C4×D212C2312yes—
641D4×Dic53C2311yescharacteristic
642D4×Dic53C2312yes—
643D4×Dic53C2312yes—
644D4×Dic53C2314yes—
645D4×Dic53C2312yes—
646D4×Dic53C2312yes—
647D4×Dic53C2311yescharacteristic
648D4×Dic53C2312yes—
649D4×Dic53C2311yescharacteristic
650#13133179C2311yescharacteristic
651#13133179C2314yes—
652#13133179C2312yes—
653#13133179C2314yes—
654#13133179C2311yescharacteristic
655#13133179C2314yes—
656#13133179C2312yes—
657#13133179C2312yes—
658#13133179C2312yes—
659#13133179C2312yes—
660#13133179C2312yes—
661#13133179C2312yes—
662#13133179C2311yescharacteristic
663C4×C22⋊D53C2312yes—
664C4×C22⋊D53C2314yes—
665C4×C22⋊D53C2312yes—
666C4×C22⋊D53C2314yes—
667C4×C22⋊D53C2312yes—
668C4×C22⋊D53C2312yes—
669C4×C22⋊D53C2312yes—
670C4×C22⋊D53C2314yes—
671C4×C22⋊D53C2314yes—
672C4×C22⋊D53C2314yes—
673C4×C22⋊D53C2312yes—
674C4×C22⋊D53C2314yes—
675C4×C22⋊D53C2314yes—
676C4×C22⋊D53C2312yes—
677C4×C22⋊D53C2314yes—
678C4×C22⋊D53C2314yes—
679#13133177C2312yes—
680#13133177C2314yes—
681#13133177C2312yes—
682#13133177C2314yes—
683#13133177C2312yes—
684#13133177C2314yes—
685#13133177C2312yes—
686#13133177C2314yes—
687#13133177C2314yes—
688#13133177C2314yes—
689#13133177C2314yes—
690#13133177C2314yes—
691#13133177C2314yes—
692#13133177C2312yes—
693#13133177C2312yes—
694#13133177C2312yes—
695#13133177C2312yes—
696#13133177C2312yes—
697#13133177C2312yes—
698#13133177C2312yes—
699#13133176C2312yes—
700#13133175C2312yes—
701#13133175C2312yes—
702#13133175C2312yes—
703#13133175C2311yescharacteristic
704#13133175C2311yescharacteristic
705#13133175C2312yes—
706#13133174C2314yes—
707#13133174C2314yes—
708#13133174C2312yes—
709#13133174C2312yes—
710#13133173C2314yes—
711#13133173C2314yes—
712#13133173C2312yes—
713#13133173C2312yes—
714#13133173C2312yes—
715C2×C4⋊Dic53C2312yes—
716C2×#11719919C2314yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2312yes—
721C4⋊C4×D53C2312yes—
722C4⋊C4×D53C2311yescharacteristic
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2311yescharacteristic
725C2×C22⋊Dic53C2314yes—
726C2×#11719921C2314yes—
727C2×#11719921C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2312yes—
732C22⋊C4×D53C2314yes—
733C22⋊C4×D53C2312yes—
734C22⋊C4×D53C2314yes—
735C22⋊C4×D53C2312yes—
736C22⋊C4×D53C2314yes—
737C22⋊C4×D53C2312yes—
738C2×C4×Dic53C2311yescharacteristic
739C2×C4×Dic53C2311yescharacteristic
740C2×C4×Dic53C2311yescharacteristic
741C2×C4×Dic53C2312yes—
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2311yescharacteristic
745C42×D53C2311yescharacteristic
746C42×D53C2311yescharacteristic
747C42×D53C2311yescharacteristic
748C42×D53C2311yescharacteristic
749C42×D53C2311yescharacteristic
750C42×D53C2312yes—
751C2×#41×C53C2312yes—
752C2×#41×C53C2312yes—
753C2×#41×C53C2312yes—
754C2×#41×C53C2312yes—
755C22×D4×C53C2312yes—
756C22×D4×C53C2312yes—
757C4⋊Q8×C53C2311yescharacteristic
758C4⋊Q8×C53C2311yescharacteristic
759#127×C53C2311yescharacteristic
760#127×C53C2314yes—
761#127×C53C2311yescharacteristic
762#127×C53C2312yes—
763#126×C53C2312yes—
764#126×C53C2314yes—
765#126×C53C2314yes—
766#125×C53C2311yescharacteristic
767#124×C53C2311yescharacteristic
768#124×C53C2314yes—
769#124×C53C2312yes—
770#124×C53C2312yes—
771#124×C53C2312yes—
772#123×C53C2314yes—
773#123×C53C2314yes—
774#123×C53C2314yes—
775#123×C53C2312yes—
776C22⋊Q8×C53C2314yes—
777C22⋊Q8×C53C2312yes—
778C22⋊Q8×C53C2312yes—
779C22⋊Q8×C53C2311yescharacteristic
780#121×C53C2311yescharacteristic
781#121×C53C2314yes—
782#121×C53C2312yes—
783#121×C53C2312yes—
784#121×C53C2311yescharacteristic
785#121×C53C2314yes—
786#121×C53C2314yes—
787#121×C53C2314yes—
788#121×C53C2311yescharacteristic
789#121×C53C2312yes—
790#121×C53C2312yes—
791#121×C53C2312yes—
792#121×C53C2312yes—
793#121×C53C2312yes—
794#121×C53C2314yes—
795#121×C53C2314yes—
796#120×C53C2314yes—
797#120×C53C2314yes—
798#120×C53C2314yes—
799#120×C53C2314yes—
800C4×Q8×C53C2312yes—
801C4×Q8×C53C2311yescharacteristic
802C4×D4×C53C2312yes—
803C4×D4×C53C2312yes—
804C4×D4×C53C2312yes—
805C4×D4×C53C2314yes—
806C4×D4×C53C2311yescharacteristic
807C4×D4×C53C2311yescharacteristic
808C4×D4×C53C2312yes—
809C4×D4×C53C2311yescharacteristic
810C4×D4×C53C2312yes—
811#117×C53C2312yes—
812#117×C53C2312yes—
813C2×C4⋊C4×C53C2312yes—
814C2×C22⋊C4×C53C2314yes—
815C2×C42×C53C2311yescharacteristic
816C24×C53C2414yes—
817C23×D53C2411yescharacteristic
818C23×D53C2412yes—
819C23×D53C2414yes—
820C23×D53C2412yes—
821C23×D53C2414yes—
822C23×D53C2414yes—
823C23×D53C2414yes—
824#41×C53—44no—
825#41×C53—44no—
826#41×C53—44no—
827#41×C53—44no—
828C2×Q8×C53C2411yescharacteristic
829C2×Q8×C53C2412yes—
830C2×Q8×C53C2412yes—
831C2×D4×C53—44no—
832C2×D4×C53—44no—
833C2×D4×C53C2411yescharacteristic
834C2×D4×C53C2412yes—
835C2×D4×C53C2411yescharacteristic
836C2×D4×C53C2412yes—
837C2×D4×C53C2411yescharacteristic
838C2×D4×C53C2412yes—
839C2×D4×C53C2412yes—
840C2×D4×C53C2412yes—
841C2×D4×C53C2414yes—
842C2×D4×C53C2412yes—
843C2×D4×C53C2414yes—
844C2×D4×C53C2412yes—
845C2×D4×C53C2414yes—
846C2×D4×C53C2414yes—
847C2×D4×C53C2414yes—
848C2×D4×C53C2414yes—
849C2×D4×C53C2412yes—
850C22×C4×C53C2411yescharacteristic
851C22×C4×C53C2411yescharacteristic
852C22×C4×C53C2412yes—
853C22×C4×C53C2412yes—
854C22×C4×C53C2412yes—
855C22×C4×C53C2411yescharacteristic
856C22×C4×C53C2414yes—
857C22×C4×C53C2414yes—
858C22×C4×C53C2414yes—
859C2×C22⋊D53—48no—
860C2×C22⋊D53—48no—
861C2×C22⋊D53—48no—
862C2×C22⋊D53—48no—
863C2×C22⋊D53—48no—
864C2×C22⋊D53C2412yes—
865C2×C22⋊D53C2414yes—
866C2×C22⋊D53C2412yes—
867C2×C22⋊D53C2412yes—
868C2×C22⋊D53C2412yes—
869C2×C22⋊D53C2412yes—
870C2×C22⋊D53C2412yes—
871C2×C22⋊D53C2414yes—
872C2×C22⋊D53C2412yes—
873C2×C22⋊D53C2412yes—
874C2×C22⋊D53C2412yes—
875C2×C22⋊D53C2414yes—
876C2×C22⋊D53C2412yes—
877C2×C22⋊D53C2412yes—
878C2×C22⋊D53C2414yes—
879C2×C22⋊D53C2412yes—
880C2×C22⋊D53C2412yes—
881C2×C22⋊D53C2414yes—
882C2×C22⋊D53C2414yes—
883C2×C22⋊D53C2414yes—
884C2×C22⋊D53C2414yes—
885C2×C22⋊D53C2412yes—
886C2×C22⋊D53C2414yes—
887C2×C22⋊D53C2412yes—
888C2×C22⋊D53C2414yes—
889C2×C22⋊D53C2414yes—
890C2×C22⋊D53C2414yes—
891C2×C22⋊D53C2414yes—
892C2×C22⋊D53C2414yes—
893C2×C22⋊D53C2414yes—
894C22×Dic53C2411yescharacteristic
895C22×Dic53C2411yescharacteristic
896C22×Dic53C2411yescharacteristic
897C22×Dic53C2412yes—
898C22×Dic53C2412yes—
899C22×Dic53C2414yes—
900C22×Dic53C2412yes—
901C22×Dic53C2414yes—
902C22×Dic53C2412yes—
903C22×Dic53C2414yes—
904#11719949—28no—
905#11719949—24no—
906#11719949—44no—
907#11719949—44no—
908#11719949—44no—
909Q8×D53—44no—
910Q8×D53—44no—
911#11719947—28no—
912#11719947—24no—
913#11719947—44no—
914#11719947—44no—
915#11719947—44no—
916#11719947—44no—
917#11719947—48no—
918#11719947—48no—
919#11719947—48no—
920#11719947—44no—
921#11719947—44no—
922D4×D53—24no—
923D4×D53—28no—
924D4×D53—24no—
925D4×D53—44no—
926D4×D53—44no—
927D4×D53—44no—
928D4×D53—44no—
929D4×D53—44no—
930D4×D53—44no—
931D4×D53—44no—
932D4×D53—48no—
933D4×D53—44no—
934D4×D53—48no—
935D4×D53—48no—
936D4×D53—44no—
937D4×D53—48no—
938D4×D53—44no—
939D4×D53—48no—
940D4×D53—48no—
941D4×D53—48no—
942D4×D53—48no—
943#11719945—28no—
944#11719945—28no—
945#11719945—28no—
946#11719945—48no—
947#11719945—48no—
948#11719945—44no—
949#11719945—44no—
950#11719945—44no—
951#11719945—44no—
952#11719945—48no—
953C2×D212—44no—
954C2×D212—44no—
955C2×D212—48no—
956C2×D212—48no—
957C2×D212C2412yes—
958C2×D212C2412yes—
959C2×D212C2414yes—
960C2×D212C2412yes—
961C2×D212C2411yescharacteristic
962C2×D212C2412yes—
963C2×D212C2411yescharacteristic
964C2×D212C2412yes—
965C2×D212C2411yescharacteristic
966C2×D212C2412yes—
967C2×D212C2412yes—
968C2×D212C2412yes—
969C2×D212C2414yes—
970C2×D212C2412yes—
971C2×D212C2414yes—
972C2×D212C2414yes—
973C2×D212C2414yes—
974C2×D212C2414yes—
975C2×C4×D53—24no—
976C2×C4×D53—24no—
977C2×C4×D53—42no—
978C2×C4×D53—48no—
979C2×C4×D53—44no—
980C2×C4×D53—44no—
981C2×C4×D53C2411yescharacteristic
982C2×C4×D53C2411yescharacteristic
983C2×C4×D53C2411yescharacteristic
984C2×C4×D53C2411yescharacteristic
985C2×C4×D53C2411yescharacteristic
986C2×C4×D53C2411yescharacteristic
987C2×C4×D53C2411yescharacteristic
988C2×C4×D53C2411yescharacteristic
989C2×C4×D53C2412yes—
990C2×C4×D53C2412yes—
991C2×C4×D53C2412yes—
992C2×C4×D53C2414yes—
993C2×C4×D53C2412yes—
994C2×C4×D53C2412yes—
995C2×C4×D53C2411yescharacteristic
996C2×C4×D53C2411yescharacteristic
997C2×C4×D53C2412yes—
998C2×C4×D53C2414yes—
999C2×C4×D53C2412yes—
1000C2×C4×D53C2412yes—
1001C2×C4×D53C2412yes—
1002C2×C4×D53C2414yes—
1003C2×C4×D53C2414yes—
1004C2×C4×D53C2414yes—
1005C2×C4×D53C2414yes—
1006C2×C4×D53C2414yes—
1007C2×C4×D53C2411yescharacteristic
1008C2×C4×D53C2411yescharacteristic
1009C2×Dic106C2412yes—
1010C2×Dic106C2412yes—
1011C2×Dic106C2411yescharacteristic
1012C2×Dic106C2412yes—
1013C2×Dic106C2412yes—
1014C2×Dic106C2412yes—
1015C2×Dic106C2412yes—
1016C2×Dic106C2414yes—
1017C4⋊C4×C53C2411yescharacteristic
1018C4⋊C4×C53C2412yes—
1019C4⋊C4×C53C2414yes—
1020C4⋊C4×C53C2411yescharacteristic
1021C4⋊C4×C53C2412yes—
1022C4⋊C4×C53C2412yes—
1023C4⋊C4×C53C2411yescharacteristic
1024C4⋊C4×C53C2412yes—
1025C4⋊C4×C53C2411yescharacteristic
1026C4⋊C4×C53C2412yes—
1027C4⋊C4×C53C2412yes—
1028C4⋊C4×C53C2414yes—
1029C4⋊C4×C53C2412yes—
1030C22⋊C4×C53C2412yes—
1031C22⋊C4×C53C2412yes—
1032C22⋊C4×C53C2414yes—
1033C22⋊C4×C53C2414yes—
1034C22⋊C4×C53C2414yes—
1035C22⋊C4×C53C2412yes—
1036C22⋊C4×C53C2412yes—
1037C22⋊C4×C53C2412yes—
1038C22⋊C4×C53C2412yes—
1039C22⋊C4×C53C2412yes—
1040C22⋊C4×C53C2414yes—
1041C22⋊C4×C53C2414yes—
1042C22⋊C4×C53C2414yes—
1043C22⋊C4×C53C2414yes—
1044C22⋊C4×C53C2412yes—
1045C22⋊C4×C53C2412yes—
1046C42×C53C2411yescharacteristic
1047C42×C53C2411yescharacteristic
1048C42×C53C2411yescharacteristic
1049C42×C53C2411yescharacteristic
1050C42×C53C2412yes—
1051C42×C53C2414yes—
1052C22⋊Dic53C2412yes—
1053C22⋊Dic53C2414yes—
1054C22⋊Dic53C2414yes—
1055C22⋊Dic53C2412yes—
1056C22⋊Dic53C2414yes—
1057C22⋊Dic53C2412yes—
1058C22⋊Dic53C2414yes—
1059C22⋊Dic53C2412yes—
1060C22⋊Dic53C2412yes—
1061C22⋊Dic53C2414yes—
1062C22⋊Dic53C2412yes—
1063C22⋊Dic53C2414yes—
1064C22⋊Dic53C2412yes—
1065C22⋊Dic53C2414yes—
1066#11719921C2412yes—
1067#11719921C2412yes—
1068#11719921C2412yes—
1069#11719921C2414yes—
1070#11719921C2414yes—
1071#11719921C2412yes—
1072#11719921C2414yes—
1073#11719921C2414yes—
1074#11719921C2412yes—
1075#11719921C2414yes—
1076#11719921C2414yes—
1077#11719921C2412yes—
1078#11719921C2412yes—
1079#11719921C2412yes—
1080#11719921C2414yes—
1081#11719921C2412yes—
1082#11719921C2412yes—
1083#11719921C2414yes—
1084#11719921C2414yes—
1085#11719921C2414yes—
1086#11719921C2412yes—
1087#11719921C2412yes—
1088#11719921C2412yes—
1089#11719921C2412yes—
1090#11719921C2414yes—
1091#11719921C2414yes—
1092#11719921C2412yes—
1093#11719921C2412yes—
1094#11719921C2414yes—
1095#11719921C2414yes—
1096#11719921C2412yes—
1097#11719921C2412yes—
1098C4⋊Dic53C2411yescharacteristic
1099C4⋊Dic53C2412yes—
1100C4⋊Dic53C2411yescharacteristic
1101C4⋊Dic53C2411yescharacteristic
1102C4⋊Dic53C2412yes—
1103C4⋊Dic53C2412yes—
1104C4⋊Dic53C2414yes—
1105C4⋊Dic53C2414yes—
1106C4⋊Dic53C2411yescharacteristic
1107C4⋊Dic53C2412yes—
1108C4⋊Dic53C2412yes—
1109#11719919C2412yes—
1110#11719919C2412yes—
1111#11719919C2412yes—
1112#11719919C2412yes—
1113#11719919C2414yes—
1114#11719919C2412yes—
1115#11719919C2414yes—
1116#11719919C2414yes—
1117#11719919C2414yes—
1118#11719919C2414yes—
1119#11719919C2414yes—
1120#11719919C2412yes—
1121#11719919C2412yes—
1122#11719919C2412yes—
1123#11719919C2412yes—
1124#11719919C2412yes—
1125#11719919C2412yes—
1126#11719919C2412yes—
1127#11719919C2412yes—
1128#11719919C2412yes—
1129C4×Dic53C2411yescharacteristic
1130C4×Dic53C2411yescharacteristic
1131C4×Dic53C2411yescharacteristic
1132C4×Dic53C2411yescharacteristic
1133C4×Dic53C2411yescharacteristic
1134C4×Dic53C2411yescharacteristic
1135C4×Dic53C2411yescharacteristic
1136C4×Dic53C2411yescharacteristic
1137C4×Dic53C2411yescharacteristic
1138C4×Dic53C2411yescharacteristic
1139C4×Dic53C2411yescharacteristic
1140C4×Dic53C2411yescharacteristic
1141C4×Dic53C2412yes—
1142C4×Dic53C2412yes—
1143C4×Dic53C2412yes—
1144C4×Dic53C2412yes—
1145C4×Dic53C2412yes—
1146C4×Dic53C2414yes—
1147C4×Dic53C2414yes—
1148C4×Dic53C2414yes—
1149C23×C53—44no—
1150C23×C53—44no—
1151C23×C53—44no—
1152C23×C53C2511yescharacteristic
1153C23×C53C2512yes—
1154C23×C53C2514yes—
1155C23×C53C2512yes—
1156C23×C53C2512yes—
1157C22×D53—22no—
1158C22×D53—22no—
1159C22×D53—24no—
1160C22×D53—28no—
1161C22×D53—24no—
1162C22×D53—41no—
1163C22×D53—44no—
1164C22×D53—42no—
1165C22×D53—42no—
1166C22×D53—42no—
1167C22×D53—44no—
1168C22×D53—42no—
1169C22×D53—44no—
1170C22×D53—44no—
1171C22×D53—44no—
1172C22×D53—44no—
1173C22×D53—44no—
1174C22×D53—44no—
1175C22×D53—44no—
1176C22×D53—44no—
1177C22×D53—44no—
1178C22×D53C2514yes—
1179C22×D53C2512yes—
1180C22×D53C2512yes—
1181C22×D53C2512yes—
1182C22×D53C2511yescharacteristic
1183C22×D53C2511yescharacteristic
1184Q8×C53—24no—
1185Q8×C53—22no—
1186Q8×C53—42no—
1187D4×C53—22no—
1188D4×C53—24no—
1189D4×C53—22no—
1190D4×C53—22no—
1191D4×C53—24no—
1192D4×C53—44no—
1193D4×C53—44no—
1194D4×C53—44no—
1195D4×C53—44no—
1196D4×C53—42no—
1197D4×C53—42no—
1198D4×C53—42no—
1199D4×C53—44no—
1200D4×C53—44no—
1201D4×C53—42no—
1202D4×C53—42no—
1203D4×C53—42no—
1204C2×C4×C53—22no—
1205C2×C4×C53—22no—
1206C2×C4×C53—24no—
1207C2×C4×C53—24no—
1208C2×C4×C53—24no—
1209C2×C4×C53—44no—
1210C2×C4×C53—41no—
1211C2×C4×C53—44no—
1212C2×C4×C53—44no—
1213C2×C4×C53C2511yescharacteristic
1214C2×C4×C53C2512yes—
1215C2×C4×C53C2514yes—
1216C2×C4×C53C2512yes—
1217C2×C4×C53C2512yes—
1218C2×C4×C53C2512yes—
1219C2×C4×C53C2511yescharacteristic
1220C2×C4×C53C2512yes—
1221C2×C4×C53C2511yescharacteristic
1222C2×C4×C53C2511yescharacteristic
1223C2×C4×C53C2511yescharacteristic
1224C2×C4×C53C2511yescharacteristic
1225C22⋊D53—24no—
1226C22⋊D53—24no—
1227C22⋊D53—24no—
1228C22⋊D53—28no—
1229C22⋊D53—24no—
1230C22⋊D53—24no—
1231C22⋊D53—24no—
1232C22⋊D53—24no—
1233C22⋊D53—24no—
1234C22⋊D53—28no—
1235C22⋊D53—24no—
1236C22⋊D53—24no—
1237C22⋊D53—28no—
1238C22⋊D53—24no—
1239C22⋊D53—44no—
1240C22⋊D53—44no—
1241C22⋊D53—42no—
1242C22⋊D53—42no—
1243C22⋊D53—44no—
1244C22⋊D53—44no—
1245C22⋊D53—44no—
1246C22⋊D53—44no—
1247C22⋊D53—44no—
1248C22⋊D53—44no—
1249C22⋊D53—44no—
1250C22⋊D53—44no—
1251C22⋊D53—42no—
1252C22⋊D53—42no—
1253C22⋊D53—44no—
1254C22⋊D53—44no—
1255C2×Dic53—22no—
1256C2×Dic53—22no—
1257C2×Dic53—28no—
1258C2×Dic53—24no—
1259C2×Dic53—22no—
1260C2×Dic53—24no—
1261C2×Dic53—42no—
1262C2×Dic53—42no—
1263C2×Dic53—44no—
1264C2×Dic53—44no—
1265C2×Dic53C2511yescharacteristic
1266C2×Dic53C2512yes—
1267C2×Dic53C2514yes—
1268C2×Dic53C2512yes—
1269C2×Dic53C2511yescharacteristic
1270C2×Dic53C2512yes—
1271C2×Dic53C2512yes—
1272C2×Dic53C2512yes—
1273C2×Dic53C2511yescharacteristic
1274C2×Dic53C2511yescharacteristic
1275C2×Dic53C2511yescharacteristic
1276C2×Dic53C2511yescharacteristic
1277D212—24no—
1278D212—24no—
1279D212—24no—
1280D212—28no—
1281D212—24no—
1282D212—22no—
1283D212—22no—
1284D212—24no—
1285D212—24no—
1286D212—22no—
1287D212—44no—
1288D212—44no—
1289D212—44no—
1290D212—44no—
1291D212—42no—
1292D212—44no—
1293D212—42no—
1294D212—42no—
1295C4×D53—22no—
1296C4×D53—22no—
1297C4×D53—22no—
1298C4×D53—22no—
1299C4×D53—24no—
1300C4×D53—24no—
1301C4×D53—24no—
1302C4×D53—22no—
1303C4×D53—22no—
1304C4×D53—28no—
1305C4×D53—24no—
1306C4×D53—22no—
1307C4×D53—22no—
1308C4×D53—24no—
1309C4×D53—41no—
1310C4×D53—41no—
1311C4×D53—44no—
1312C4×D53—42no—
1313C4×D53—42no—
1314C4×D53—44no—
1315C4×D53—42no—
1316C4×D53—42no—
1317C4×D53—44no—
1318C4×D53—44no—
1319C4×D53—44no—
1320C4×D53—44no—
1321C4×D53H(5,𝔽2)14yescomplemented
1322C4×D53H(5,𝔽2)14yescomplemented
1323Dic106—22no—
1324Dic106—24no—
1325Dic106—24no—
1326Dic106—24no—
1327Dic106—24no—
1328Dic106—42no—
1329Dic106—44no—
1330Dic106—42no—
1331#62834—531nomaximal, Sylow
1332C22×C53—24no—
1333C22×C53—22no—
1334C22×C53—21no—
1335C22×C53—21no—
1336C22×C53—22no—
1337C22×C53—22no—
1338C22×C53—22no—
1339C22×C53—24no—
1340C22×C53—22no—
1341C22×C53—22no—
1342C22×C53—21no—
1343C22×C53—22no—
1344C22×C53—22no—
1345C22×C53—24no—
1346C22×C53—22no—
1347C22×C53—164no—
1348C22×C53C2611yescharacteristic
1349C2×D53—21no—
1350C2×D53—21no—
1351C2×D53—21no—
1352C2×D53—21no—
1353C2×D53—24no—
1354C2×D53—22no—
1355C2×D53—22no—
1356C2×D53—22no—
1357C2×D53—22no—
1358C2×D53—22no—
1359C2×D53—24no—
1360C2×D53—22no—
1361C2×D53—22no—
1362C2×D53—22no—
1363C2×D53—24no—
1364C2×D53—22no—
1365C2×D53—44no—
1366C2×D53—84no—
1367C2×D53—88no—
1368C2×D53—84no—
1369C2×D53—164no—
1370C2×D53—164no—
1371C2×D53—164no—
1372C2×D53C2×H(5,𝔽2)12yes—
1373C2×D53C2×H(5,𝔽2)12yes—
1374C4×C53—22no—
1375C4×C53—22no—
1376C4×C53—22no—
1377C4×C53—21no—
1378C4×C53—24no—
1379C4×C53—21no—
1380C4×C53—22no—
1381C4×C53—22no—
1382C4×C53—21no—
1383C4×C53—21no—
1384C4×C53C2×H(5,𝔽2)12yes—
1385C4×C53C2×H(5,𝔽2)12yes—
1386Dic53—22no—
1387Dic53—22no—
1388Dic53—24no—
1389Dic53—22no—
1390Dic53—22no—
1391Dic53—21no—
1392Dic53—21no—
1393Dic53—21no—
1394Dic53—22no—
1395Dic53C2×H(5,𝔽2)12yes—
1396Dic53C2×H(5,𝔽2)12yes—
1397Dic53#58512yes—
1398#3558—532no—
1399#3558—534no—
1400#3558—532no—
1401#3549—532no—
1402#3548—532no—
1403#3546—534no—
1404#3546—531no—
1405#3546—531no—
1406#3546—531no—
1407#3546D5311yescharacteristic, complemented
1408#3537—534no—
1409#3519—532no—
1410#3519—532no—
1411#3519—534no—
1412#3511—531no—
1413#3511—531no—
1414#3511—532no—
1415#3508—532no—
1416#3508—532no—
1417#3506—531no—
1418#3506—532no—
1419#3506—531no—
1420#3498—531no—
1421#3498—531no—
1422#3498—532no—
1423#3496—531no—
1424#3496—532no—
1425#3496—531no—
1426#3488—532no—
1427#3488—532no—
1428#3488—532no—
1429#3488—532no—
1430#3444—531no—
1431C2×#532—531no—
1432C2×#532—531no—
1433C2×C53—41no—
1434C2×C53—42no—
1435C2×C53—44no—
1436C2×C53—42no—
1437C2×C53—42no—
1438C2×C53C22×H(5,𝔽2)11yescharacteristic
1439C2×C53C22×H(5,𝔽2)11yescharacteristic
1440C2×C53C2×#58511yescharacteristic
1441D53—22no—
1442D53—22no—
1443D53—44no—
1444D53—42no—
1445D53—42no—
1446D53—42no—
1447C2×H(5,𝔽2)—532no—
1448C2×H(5,𝔽2)—532no—
1449C2×H(5,𝔽2)—532no—
1450C2×H(5,𝔽2)—532no—
1451C22×#41—532no—
1452C22×#41—532no—
1453#562—534no—
1454#562—534no—
1455H(3,𝔽4)—534no—
1456H(3,𝔽4)—534no—
1457#560—534no—
1458#560—534no—
1459#560—534no—
1460#560C2×D5314yescomplemented
1461#559—532no—
1462#559—532no—
1463#559—534no—
1464#559—532no—
1465#559—534no—
1466#559—532no—
1467#556—531no—
1468#556—534no—
1469#556—531no—
1470#556—531no—
1471#556C2×D5311yescharacteristic, complemented
1472#555—534no—
1473#555—532no—
1474#555—532no—
1475#555—532no—
1476#555—532no—
1477#554—534no—
1478#554—532no—
1479#554—532no—
1480#553—534no—
1481#553—534no—
1482#553—534no—
1483#553—532no—
1484#553—534no—
1485#553—534no—
1486#553—534no—
1487#553—532no—
1488#553—532no—
1489#553C2×D5312yescomplemented
1490#550—532no—
1491#550—532no—
1492#550—534no—
1493#550—531no—
1494#550—532no—
1495#550—534no—
1496#550—534no—
1497#550—532no—
1498#550—534no—
1499#550—531no—
1500#550—532no—
1501#550—531no—
1502#550C2×D5312yescomplemented
1503#550C2×D5311yescharacteristic, complemented
1504#548—532no—
1505#548—534no—
1506#548—532no—
1507#548—532no—
1508#548—534no—
1509#548—532no—
1510#547—532no—
1511#547—531no—
1512#547—534no—
1513#547—532no—
1514#547—532no—
1515#547—531no—
1516#547—531no—
1517#547—532no—
1518#547C2×D5311yescharacteristic, complemented
1519#546—532no—
1520#546—532no—
1521#546—532no—
1522#546—534no—
1523#546—532no—
1524#546—534no—
1525#546—534no—
1526#546—534no—
1527#546—532no—
1528#546—532no—
1529#546—534no—
1530#546—532no—
1531#546—534no—
1532#546—534no—
1533#546—534no—
1534#546—534no—
1535#546—534no—
1536#546—534no—
1537#546—532no—
1538#546—532no—
1539#546—534no—
1540#546—532no—
1541#546—534no—
1542#546—534no—
1543#546C2×D5312yescomplemented
1544#546C2×D5312yescomplemented
1545D42—532no—
1546D42—532no—
1547D42—532no—
1548D42—534no—
1549D42—532no—
1550D42—531no—
1551D42—534no—
1552D42—534no—
1553D42—532no—
1554D42—534no—
1555D42—532no—
1556D42—534no—
1557D42—534no—
1558D42—532no—
1559D42—534no—
1560D42—534no—
1561D42—534no—
1562D42—534no—
1563D42—534no—
1564D42—534no—
1565D42—532no—
1566D42—531no—
1567D42—531no—
1568D42C2×D5311yescharacteristic, complemented
1569#542—532no—
1570#542—534no—
1571#542—532no—
1572#542—534no—
1573#542—532no—
1574#542C2×D5312yescomplemented
1575#540—534no—
1576#540—534no—
1577#540—534no—
1578#540—534no—
1579#538—534no—
1580#538—534no—
1581#538—534no—
1582#538—534no—
1583#538—534no—
1584#538—534no—
1585#538—534no—
1586#538—534no—
1587#538—534no—
1588#538—534no—
1589#538—534no—
1590#538C2×D5314yescomplemented
1591#537—532no—
1592#537—532no—
1593#537—532no—
1594#537—532no—
1595#537—532no—
1596#537—532no—
1597#537—534no—
1598#537—534no—
1599#537—532no—
1600#537C2×D5312yescomplemented
1601#535—532no—
1602#535—532no—
1603#535—534no—
1604#535—532no—
1605#535—534no—
1606#535—532no—
1607#535—532no—
1608#535—532no—
1609#535—532no—
1610#535—532no—
1611#535—532no—
1612#535—534no—
1613#535—534no—
1614#535—534no—
1615#535—534no—
1616#535—532no—
1617#535C2×D5312yescomplemented
1618#535C2×D5312yescomplemented
1619#534—534no—
1620#534—534no—
1621#534—534no—
1622#534—534no—
1623#533—531no—
1624#533—531no—
1625#533—532no—
1626#533—531no—
1627#533—532no—
1628#532—532no—
1629#532—532no—
1630#532—532no—
1631#532—531no—
1632#532—531no—
1633#532—531no—
1634#532—531no—
1635#532—532no—
1636#532—532no—
1637#532—531no—
1638#532—532no—
1639#532—531no—
1640#532—531no—
1641#532—532no—
1642#532—532no—
1643#532—532no—
1644#532—531no—
1645#532—532no—
1646#532—532no—
1647#532—531no—
1648#532—531no—
1649#532—532no—
1650#532—532no—
1651#532—531no—
1652#532—532no—
1653#532—531no—
1654#532—531no—
1655#532C2×D5311yescharacteristic, complemented
1656#532C2×D5311yescharacteristic, complemented
1657C2×C4⋊Q8—531no—
1658C2×C4⋊Q8—531no—
1659C2×#127—532no—
1660C2×#127—531no—
1661C2×#127—531no—
1662C2×#127—532no—
1663#529—532no—
1664#529—532no—
1665#529—531no—
1666#529—531no—
1667#529—532no—
1668#529—532no—
1669#529—531no—
1670#529C2×D5311yescharacteristic, complemented
1671C2×#124—532no—
1672C2×#124—532no—
1673#525—532no—
1674#525—532no—
1675#525—534no—
1676#525—531no—
1677#525—532no—
1678#525—531no—
1679#525—532no—
1680#525—532no—
1681#525—534no—
1682#525—532no—
1683C2×#121—532no—
1684C2×#121—532no—
1685C2×#121—531no—
1686C2×#121—531no—
1687C2×#121—532no—
1688C2×#121—532no—
1689C2×#121—532no—
1690C2×#121—532no—
1691C2×#121—534no—
1692C2×#121—532no—
1693C2×#121—534no—
1694#520—532no—
1695#520—532no—
1696#520—532no—
1697#520—532no—
1698#518—534no—
1699#518—534no—
1700C4×#41—531no—
1701C4×#41—531no—
1702C4×#41—532no—
1703C4×#41—532no—
1704C2×C4×D4—532no—
1705C2×C4×D4—531no—
1706C2×C4×D4—531no—
1707C2×C4×D4—532no—
1708C2×C4×D4—532no—
1709C22×C42—531no—
1710C53#6283411yescharacteristic, complemented, Sylow
1711H(5,𝔽2)—2128no—
1712H(5,𝔽2)—2128no—
1713H(5,𝔽2)—2128no—
1714H(5,𝔽2)—2128no—
1715C2×#41—531no—
1716C2×#41—532no—
1717C2×#41—532no—
1718C2×#41—532no—
1719C2×#41—532no—
1720C2×#41—531no—
1721C2×#41—532no—
1722C2×#41—532no—
1723C2×#41—534no—
1724C2×#41—532no—
1725C2×#41—534no—
1726C2×#41—532no—
1727C2×#41—532no—
1728C2×#41—532no—
1729C2×#41—534no—
1730C2×#41—532no—
1731C2×#41—532no—
1732C2×#41—532no—
1733C2×#41—532no—
1734C2×#41—534no—
1735C2×#41—532no—
1736C2×#41—532no—
1737C2×#41—534no—
1738C2×#41—532no—
1739C2×#41—534no—
1740C2×#41—532no—
1741C2×#41—2128no—
1742C2×#41—2128no—
1743C2×#41C22×D5312yes—
1744C2×#41C22×D5312yes—
1745C2×#41C22×D5312yes—
1746C2×#41C22×D5312yes—
1747C22×Q8—532no—
1748C22×Q8—532no—
1749C22×D4—534no—
1750C22×D4—534no—
1751C22×D4—534no—
1752C22×D4—534no—
1753C22×D4—534no—
1754C22×D4—531no—
1755C22×D4—531no—
1756C22×D4—532no—
1757C22×D4—532no—
1758C22×D4—532no—
1759C22×D4—534no—
1760C22×D4—532no—
1761C22×D4—534no—
1762C22×D4—532no—
1763C22×D4—534no—
1764C22×D4—534no—
1765C22×D4—534no—
1766C22×D4—534no—
1767C22×D4—534no—
1768C22×D4—532no—
1769C22×D4—532no—
1770C22×D4—532no—
1771C22×D4—532no—
1772C22×D4—534no—
1773C22×D4—532no—
1774C22×D4—532no—
1775C22×D4—534no—
1776C22×D4—534no—
1777C22×D4—532no—
1778C22×D4—532no—
1779C22×D4C22×D5312yes—
1780C22×D4C22×D5312yes—
1781C23×C4—531no—
1782C23×C4—531no—
1783C23×C4—534no—
1784C23×C4—532no—
1785C23×C4—532no—
1786C23×C4—531no—
1787C4⋊Q8—532no—
1788C4⋊Q8—532no—
1789C4⋊Q8—531no—
1790C4⋊Q8—531no—
1791C4⋊Q8—531no—
1792C4⋊Q8—532no—
1793C4⋊Q8—532no—
1794C4⋊Q8—532no—
1795C4⋊Q8—531no—
1796C4⋊Q8—531no—
1797C4⋊Q8—531no—
1798C4⋊Q8—531no—
1799C4⋊Q8C22×D5311yescharacteristic
1800C4⋊Q8C22×D5311yescharacteristic
1801#127—531no—
1802#127—532no—
1803#127—531no—
1804#127—532no—
1805#127—532no—
1806#127—532no—
1807#127—532no—
1808#127—534no—
1809#127—534no—
1810#127—532no—
1811#127—532no—
1812#127—534no—
1813#127—534no—
1814#127—531no—
1815#127—534no—
1816#127—534no—
1817#127—534no—
1818#127—531no—
1819#127—531no—
1820#127—532no—
1821#127C22×D5311yescharacteristic
1822#127C22×D5311yescharacteristic
1823#127C22×D5312yes—
1824#127C22×D5314yes—
1825#126—532no—
1826#126—534no—
1827#126—534no—
1828#126—534no—
1829#126—534no—
1830#126—532no—
1831#126—534no—
1832#126—534no—
1833#126—532no—
1834#126C22×D5312yes—
1835#126C22×D5314yes—
1836#126C22×D5314yes—
1837#125—532no—
1838#125—532no—
1839#125—534no—
1840#125—534no—
1841#125—531no—
1842#125C22×D5311yescharacteristic
1843#124—532no—
1844#124—532no—
1845#124—532no—
1846#124—534no—
1847#124—532no—
1848#124—532no—
1849#124—532no—
1850#124—534no—
1851#124—534no—
1852#124—532no—
1853#124—532no—
1854#124—534no—
1855#124—532no—
1856#124—532no—
1857#124—534no—
1858#124—532no—
1859#124—532no—
1860#124—534no—
1861#124—534no—
1862#124—534no—
1863#124—534no—
1864#124—534no—
1865#124—534no—
1866#124—534no—
1867#124—534no—
1868#124—532no—
1869#124—532no—
1870#124—531no—
1871#124—532no—
1872#124—534no—
1873#124—534no—
1874#124C22×D5312yes—
1875#124C22×D5312yes—
1876#124C22×D5311yescharacteristic
1877#124C22×D5312yes—
1878#124C22×D5314yes—
1879#123—534no—
1880#123—534no—
1881#123—534no—
1882#123—532no—
1883#123—534no—
1884#123—534no—
1885#123—534no—
1886#123—532no—
1887#123—532no—
1888#123—534no—
1889#123—534no—
1890#123—534no—
1891#123—534no—
1892#123—534no—
1893#123—534no—
1894#123—532no—
1895#123—532no—
1896#123—534no—
1897#123—534no—
1898#123—534no—
1899#123—534no—
1900#123—534no—
1901#123—534no—
1902#123—534no—
1903#123—534no—
1904#123—534no—
1905#123C22×D5312yes—
1906#123C22×D5314yes—
1907#123C22×D5314yes—
1908#123C22×D5314yes—
1909C22⋊Q8—531no—
1910C22⋊Q8—532no—
1911C22⋊Q8—532no—
1912C22⋊Q8—534no—
1913C22⋊Q8—531no—
1914C22⋊Q8—532no—
1915C22⋊Q8—532no—
1916C22⋊Q8—534no—
1917C22⋊Q8—532no—
1918C22⋊Q8—531no—
1919C22⋊Q8—532no—
1920C22⋊Q8—532no—
1921C22⋊Q8—534no—
1922C22⋊Q8—532no—
1923C22⋊Q8—534no—
1924C22⋊Q8—532no—
1925C22⋊Q8—534no—
1926C22⋊Q8—534no—
1927C22⋊Q8—534no—
1928C22⋊Q8—532no—
1929C22⋊Q8—534no—
1930C22⋊Q8—534no—
1931C22⋊Q8—534no—
1932C22⋊Q8—534no—
1933C22⋊Q8C22×D5311yescharacteristic
1934C22⋊Q8C22×D5312yes—
1935C22⋊Q8C22×D5312yes—
1936C22⋊Q8C22×D5314yes—
1937#121—531no—
1938#121—532no—
1939#121—532no—
1940#121—532no—
1941#121—532no—
1942#121—532no—
1943#121—532no—
1944#121—534no—
1945#121—532no—
1946#121—531no—
1947#121—531no—
1948#121—534no—
1949#121—534no—
1950#121—534no—
1951#121—532no—
1952#121—534no—
1953#121—532no—
1954#121—534no—
1955#121—534no—
1956#121—534no—
1957#121—534no—
1958#121—532no—
1959#121—532no—
1960#121—534no—
1961#121—534no—
1962#121—534no—
1963#121—532no—
1964#121—534no—
1965#121—534no—
1966#121—534no—
1967#121—534no—
1968#121—534no—
1969#121—534no—
1970#121—534no—
1971#121—534no—
1972#121—534no—
1973#121—534no—
1974#121—532no—
1975#121—531no—
1976#121—531no—
1977#121—532no—
1978#121—532no—
1979#121—532no—
1980#121—532no—
1981#121—534no—
1982#121—531no—
1983#121—532no—
1984#121—532no—
1985#121—534no—
1986#121—531no—
1987#121—532no—
1988#121—532no—
1989#121—532no—
1990#121—531no—
1991#121—531no—
1992#121—534no—
1993#121—534no—
1994#121—532no—
1995#121—532no—
1996#121—534no—
1997#121—532no—
1998#121—532no—
1999#121—534no—
2000#121—534no—
2001#121—534no—
2002#121—532no—
2003#121—532no—
2004#121—532no—
2005#121—534no—
2006#121—532no—
2007#121—534no—
2008#121—532no—
2009#121—534no—
2010#121—534no—
2011#121—534no—
2012#121—534no—
2013#121—534no—
2014#121—534no—
2015#121—534no—
2016#121—534no—
2017#121—532no—
2018#121—532no—
2019#121—534no—
2020#121—534no—
2021#121—534no—
2022#121—534no—
2023#121—534no—
2024#121—534no—
2025#121—534no—
2026#121—534no—
2027#121—534no—
2028#121—534no—
2029#121C22×D5312yes—
2030#121C22×D5311yescharacteristic
2031#121C22×D5311yescharacteristic
2032#121C22×D5312yes—
2033#121C22×D5312yes—
2034#121C22×D5312yes—
2035#121C22×D5312yes—
2036#121C22×D5314yes—
2037#121C22×D5311yescharacteristic
2038#121C22×D5312yes—
2039#121C22×D5312yes—
2040#121C22×D5314yes—
2041#121C22×D5314yes—
2042#121C22×D5314yes—
2043#121C22×D5314yes—
2044#121C22×D5314yes—
2045#120—534no—
2046#120—534no—
2047#120—532no—
2048#120—534no—
2049#120—534no—
2050#120—534no—
2051#120—534no—
2052#120—534no—
2053#120—534no—
2054#120—534no—
2055#120—534no—
2056#120—534no—
2057#120—534no—
2058#120—534no—
2059#120—534no—
2060#120—534no—
2061#120—534no—
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#120C22×D5314yes—
2076#120C22×D5314yes—
2077#120C22×D5314yes—
2078#120C22×D5314yes—
2079C4×Q8—531no—
2080C4×Q8—532no—
2081C4×Q8—532no—
2082C4×Q8—531no—
2083C4×Q8—532no—
2084C4×Q8—532no—
2085C4×Q8—534no—
2086C4×Q8—532no—
2087C4×Q8—531no—
2088C4×Q8—532no—
2089C4×Q8—534no—
2090C4×Q8—532no—
2091C4×Q8C22×D5311yescharacteristic
2092C4×Q8C22×D5312yes—
2093C4×D4—532no—
2094C4×D4—532no—
2095C4×D4—532no—
2096C4×D4—531no—
2097C4×D4—531no—
2098C4×D4—532no—
2099C4×D4—531no—
2100C4×D4—534no—
2101C4×D4—532no—
2102C4×D4—534no—
2103C4×D4—532no—
2104C4×D4—532no—
2105C4×D4—532no—
2106C4×D4—532no—
2107C4×D4—534no—
2108C4×D4—532no—
2109C4×D4—532no—
2110C4×D4—532no—
2111C4×D4—534no—
2112C4×D4—534no—
2113C4×D4—534no—
2114C4×D4—534no—
2115C4×D4—534no—
2116C4×D4—534no—
2117C4×D4—534no—
2118C4×D4—532no—
2119C4×D4—532no—
2120C4×D4—532no—
2121C4×D4—531no—
2122C4×D4—531no—
2123C4×D4—532no—
2124C4×D4—532no—
2125C4×D4—532no—
2126C4×D4—531no—
2127C4×D4—534no—
2128C4×D4—534no—
2129C4×D4—534no—
2130C4×D4—532no—
2131C4×D4—532no—
2132C4×D4—532no—
2133C4×D4—534no—
2134C4×D4—534no—
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—531no—
2153C4×D4—531no—
2154C4×D4—532no—
2155C4×D4—532no—
2156C4×D4—532no—
2157C4×D4—531no—
2158C4×D4—534no—
2159C4×D4—534no—
2160C4×D4—534no—
2161C4×D4—532no—
2162C4×D4C22×D5312yes—
2163C4×D4C22×D5311yescharacteristic
2164C4×D4C22×D5311yescharacteristic
2165C4×D4C22×D5312yes—
2166C4×D4C22×D5312yes—
2167C4×D4C22×D5312yes—
2168C4×D4C22×D5311yescharacteristic
2169C4×D4C22×D5314yes—
2170C4×D4C22×D5312yes—
2171#117—532no—
2172#117—532no—
2173#117—531no—
2174#117—531no—
2175#117—532no—
2176#117—532no—
2177#117—532no—
2178#117—532no—
2179#117—532no—
2180#117—532no—
2181#117—534no—
2182#117—534no—
2183#117—532no—
2184#117—532no—
2185#117—534no—
2186#117—534no—
2187#117C22×D5312yes—
2188#117C22×D5312yes—
2189C2×C4⋊C4—534no—
2190C2×C4⋊C4—532no—
2191C2×C4⋊C4—531no—
2192C2×C4⋊C4—531no—
2193C2×C4⋊C4—532no—
2194C2×C4⋊C4—532no—
2195C2×C4⋊C4—532no—
2196C2×C4⋊C4—534no—
2197C2×C4⋊C4—532no—
2198C2×C4⋊C4—532no—
2199C2×C4⋊C4C22×D5312yes—
2200C2×C22⋊C4—534no—
2201C2×C22⋊C4—534no—
2202C2×C22⋊C4—534no—
2203C2×C22⋊C4—532no—
2204C2×C22⋊C4—534no—
2205C2×C22⋊C4—532no—
2206C2×C22⋊C4—534no—
2207C2×C22⋊C4—532no—
2208C2×C22⋊C4—532no—
2209C2×C22⋊C4—534no—
2210C2×C22⋊C4—534no—
2211C2×C22⋊C4—534no—
2212C2×C22⋊C4—534no—
2213C2×C22⋊C4C22×D5314yes—
2214C2×C42—532no—
2215C2×C42—531no—
2216C2×C42—531no—
2217C2×C42—531no—
2218C2×C42—531no—
2219C2×C42—531no—
2220C2×C42—531no—
2221C2×C42—531no—
2222C2×C42—532no—
2223C2×C42—531no—
2224C2×C42—531no—
2225C2×C42—531no—
2226C2×C42—531no—
2227C2×C42C22×D5311yescharacteristic
2228C24—531no—
2229C24—532no—
2230C24—534no—
2231C24—532no—
2232C24—534no—
2233C24—534no—
2234C24—534no—
2235C24C23×D5314yes—
2236#41—44no—
2237#41—44no—
2238#41—44no—
2239#41—44no—
2240#41—1068no—
2241#41—1068no—
2242#41—1068no—
2243#41—1068no—
2244#41—1064no—
2245#41—1068no—
2246#41—1064no—
2247#41—2124no—
2248#41—2124no—
2249#41—2124no—
2250#41—2124no—
2251#41—2128no—
2252#41—2128no—
2253#41—2128no—
2254#41—2124no—
2255#41—2128no—
2256#41—2124no—
2257#41—2124no—
2258#41—2124no—
2259#41—2124no—
2260#41—2124no—
2261#41—2128no—
2262#41—2128no—
2263#41—2124no—
2264#41—2124no—
2265#41—2124no—
2266C2×Q8—532no—
2267C2×Q8—531no—
2268C2×Q8—532no—
2269C2×Q8—532no—
2270C2×Q8—532no—
2271C2×Q8—532no—
2272C2×Q8—534no—
2273C2×Q8—532no—
2274C2×Q8—2124no—
2275C2×Q8—2124no—
2276C2×Q8C23×D5311yescharacteristic
2277C2×Q8C23×D5312yes—
2278C2×Q8C23×D5312yes—
2279C2×D4—44no—
2280C2×D4—44no—
2281C2×D4—532no—
2282C2×D4—534no—
2283C2×D4—532no—
2284C2×D4—532no—
2285C2×D4—534no—
2286C2×D4—532no—
2287C2×D4—532no—
2288C2×D4—532no—
2289C2×D4—532no—
2290C2×D4—532no—
2291C2×D4—532no—
2292C2×D4—534no—
2293C2×D4—532no—
2294C2×D4—532no—
2295C2×D4—532no—
2296C2×D4—532no—
2297C2×D4—534no—
2298C2×D4—534no—
2299C2×D4—534no—
2300C2×D4—534no—
2301C2×D4—534no—
2302C2×D4—534no—
2303C2×D4—534no—
2304C2×D4—532no—
2305C2×D4—534no—
2306C2×D4—532no—
2307C2×D4—534no—
2308C2×D4—534no—
2309C2×D4—534no—
2310C2×D4—534no—
2311C2×D4—532no—
2312C2×D4—534no—
2313C2×D4—532no—
2314C2×D4—532no—
2315C2×D4—532no—
2316C2×D4—531no—
2317C2×D4—532no—
2318C2×D4—531no—
2319C2×D4—531no—
2320C2×D4—532no—
2321C2×D4—532no—
2322C2×D4—532no—
2323C2×D4—534no—
2324C2×D4—532no—
2325C2×D4—534no—
2326C2×D4—534no—
2327C2×D4—534no—
2328C2×D4—534no—
2329C2×D4—1064no—
2330C2×D4—1068no—
2331C2×D4—1064no—
2332C2×D4—2124no—
2333C2×D4—2124no—
2334C2×D4—2128no—
2335C2×D4—2128no—
2336C2×D4—2124no—
2337C2×D4—2124no—
2338C2×D4—2124no—
2339C2×D4—2124no—
2340C2×D4—2124no—
2341C2×D4—2124no—
2342C2×D4—2124no—
2343C2×D4—2128no—
2344C2×D4—2124no—
2345C2×D4—2128no—
2346C2×D4—2128no—
2347C2×D4—2128no—
2348C2×D4—2128no—
2349C2×D4—2128no—
2350C2×D4—2124no—
2351C2×D4—2124no—
2352C2×D4—2128no—
2353C2×D4—2128no—
2354C2×D4—2128no—
2355C2×D4—2128no—
2356C2×D4—2128no—
2357C2×D4—2128no—
2358C2×D4—2128no—
2359C2×D4C23×D5311yescharacteristic
2360C2×D4C23×D5312yes—
2361C2×D4C23×D5311yescharacteristic
2362C2×D4C23×D5312yes—
2363C2×D4C23×D5311yescharacteristic
2364C2×D4C23×D5312yes—
2365C2×D4C23×D5314yes—
2366C2×D4C23×D5312yes—
2367C2×D4C23×D5312yes—
2368C2×D4C23×D5312yes—
2369C2×D4C23×D5314yes—
2370C2×D4C23×D5312yes—
2371C2×D4C23×D5314yes—
2372C2×D4C23×D5314yes—
2373C2×D4C23×D5314yes—
2374C2×D4C23×D5314yes—
2375C2×D4C23×D5312yes—
2376C22×C4—531no—
2377C22×C4—531no—
2378C22×C4—531no—
2379C22×C4—531no—
2380C22×C4—531no—
2381C22×C4—532no—
2382C22×C4—532no—
2383C22×C4—534no—
2384C22×C4—532no—
2385C22×C4—532no—
2386C22×C4—534no—
2387C22×C4—534no—
2388C22×C4—531no—
2389C22×C4—531no—
2390C22×C4—531no—
2391C22×C4—531no—
2392C22×C4—531no—
2393C22×C4—531no—
2394C22×C4—531no—
2395C22×C4—531no—
2396C22×C4—532no—
2397C22×C4—532no—
2398C22×C4—532no—
2399C22×C4—534no—
2400C22×C4—532no—
2401C22×C4—532no—
2402C22×C4—531no—
2403C22×C4—531no—
2404C22×C4—532no—
2405C22×C4—534no—
2406C22×C4—532no—
2407C22×C4—532no—
2408C22×C4—532no—
2409C22×C4—534no—
2410C22×C4—534no—
2411C22×C4—534no—
2412C22×C4—534no—
2413C22×C4—534no—
2414C22×C4—1064no—
2415C22×C4—1064no—
2416C22×C4—2124no—
2417C22×C4—2124no—
2418C22×C4—2122no—
2419C22×C4—2128no—
2420C22×C4C23×D5311yescharacteristic
2421C22×C4C23×D5311yescharacteristic
2422C22×C4C23×D5312yes—
2423C22×C4C23×D5312yes—
2424C22×C4C23×D5312yes—
2425C22×C4C23×D5311yescharacteristic
2426C22×C4C23×D5314yes—
2427C22×C4C23×D5314yes—
2428C22×C4C23×D5314yes—
2429C4⋊C4—532no—
2430C4⋊C4—531no—
2431C4⋊C4—532no—
2432C4⋊C4—532no—
2433C4⋊C4—532no—
2434C4⋊C4—532no—
2435C4⋊C4—534no—
2436C4⋊C4—532no—
2437C4⋊C4—534no—
2438C4⋊C4—531no—
2439C4⋊C4—531no—
2440C4⋊C4—532no—
2441C4⋊C4—532no—
2442C4⋊C4—534no—
2443C4⋊C4—534no—
2444C4⋊C4—534no—
2445C4⋊C4—534no—
2446C4⋊C4—534no—
2447C4⋊C4—534no—
2448C4⋊C4—532no—
2449C4⋊C4—531no—
2450C4⋊C4—532no—
2451C4⋊C4—532no—
2452C4⋊C4—532no—
2453C4⋊C4—532no—
2454C4⋊C4—532no—
2455C4⋊C4—532no—
2456C4⋊C4—532no—
2457C4⋊C4—532no—
2458C4⋊C4—532no—
2459C4⋊C4—532no—
2460C4⋊C4C23×D5311yescharacteristic
2461C4⋊C4C23×D5312yes—
2462C4⋊C4C23×D5311yescharacteristic
2463C4⋊C4C23×D5311yescharacteristic
2464C4⋊C4C23×D5312yes—
2465C4⋊C4C23×D5312yes—
2466C4⋊C4C23×D5314yes—
2467C4⋊C4C23×D5314yes—
2468C4⋊C4C23×D5311yescharacteristic
2469C4⋊C4C23×D5312yes—
2470C4⋊C4C23×D5312yes—
2471C4⋊C4C23×D5312yes—
2472C4⋊C4C23×D5312yes—
2473C22⋊C4—532no—
2474C22⋊C4—534no—
2475C22⋊C4—534no—
2476C22⋊C4—534no—
2477C22⋊C4—534no—
2478C22⋊C4—532no—
2479C22⋊C4—532no—
2480C22⋊C4—532no—
2481C22⋊C4—534no—
2482C22⋊C4—532no—
2483C22⋊C4—532no—
2484C22⋊C4—534no—
2485C22⋊C4—534no—
2486C22⋊C4—532no—
2487C22⋊C4—532no—
2488C22⋊C4—532no—
2489C22⋊C4—534no—
2490C22⋊C4—532no—
2491C22⋊C4—532no—
2492C22⋊C4—534no—
2493C22⋊C4—534no—
2494C22⋊C4—534no—
2495C22⋊C4—534no—
2496C22⋊C4—534no—
2497C22⋊C4—534no—
2498C22⋊C4—532no—
2499C22⋊C4—532no—
2500C22⋊C4—534no—
2501C22⋊C4—534no—
2502C22⋊C4—532no—
2503C22⋊C4—532no—
2504C22⋊C4—532no—
2505C22⋊C4—534no—
2506C22⋊C4—532no—
2507C22⋊C4—532no—
2508C22⋊C4—532no—
2509C22⋊C4—532no—
2510C22⋊C4—532no—
2511C22⋊C4—532no—
2512C22⋊C4—532no—
2513C22⋊C4—532no—
2514C22⋊C4—532no—
2515C22⋊C4—534no—
2516C22⋊C4—534no—
2517C22⋊C4—534no—
2518C22⋊C4—534no—
2519C22⋊C4C23×D5312yes—
2520C22⋊C4C23×D5312yes—
2521C22⋊C4C23×D5312yes—
2522C22⋊C4C23×D5314yes—
2523C22⋊C4C23×D5312yes—
2524C22⋊C4C23×D5314yes—
2525C22⋊C4C23×D5314yes—
2526C22⋊C4C23×D5314yes—
2527C22⋊C4C23×D5312yes—
2528C22⋊C4C23×D5314yes—
2529C22⋊C4C23×D5312yes—
2530C22⋊C4C23×D5314yes—
2531C22⋊C4C23×D5312yes—
2532C22⋊C4C23×D5312yes—
2533C22⋊C4C23×D5312yes—
2534C22⋊C4C23×D5314yes—
2535C42—531no—
2536C42—531no—
2537C42—531no—
2538C42—531no—
2539C42—531no—
2540C42—531no—
2541C42—531no—
2542C42—531no—
2543C42—531no—
2544C42—531no—
2545C42—531no—
2546C42—531no—
2547C42—532no—
2548C42—532no—
2549C42—532no—
2550C42—532no—
2551C42—532no—
2552C42—534no—
2553C42—534no—
2554C42—534no—
2555C42C23×D5311yescharacteristic
2556C42C23×D5311yescharacteristic
2557C42C23×D5311yescharacteristic
2558C42C23×D5311yescharacteristic
2559C42C23×D5312yes—
2560C42C23×D5314yes—
2561C23—44no—
2562C23—44no—
2563C23—44no—
2564C23—531no—
2565C23—531no—
2566C23—532no—
2567C23—532no—
2568C23—532no—
2569C23—534no—
2570C23—1064no—
2571C23—1068no—
2572C23—1064no—
2573C23—1062no—
2574C23—1062no—
2575C23—2124no—
2576C23—2124no—
2577C23—2124no—
2578C23—2124no—
2579C23—2124no—
2580C23—2124no—
2581C23—2124no—
2582C23—2124no—
2583C23—2124no—
2584C23—2122no—
2585C23—2122no—
2586C23—2124no—
2587C23—2122no—
2588C23—2124no—
2589C23—2122no—
2590C23—2121no—
2591C23C24×D5312yes—
2592C23C24×D5312yes—
2593C23C24×D5314yes—
2594C23C24×D5312yes—
2595C23C24×D5311yescharacteristic
2596Q8—24no—
2597Q8—22no—
2598Q8—42no—
2599Q8—1064no—
2600Q8—1064no—
2601Q8—1064no—
2602Q8—1064no—
2603Q8—1062no—
2604Q8—2122no—
2605Q8—2124no—
2606Q8—2122no—
2607D4—22no—
2608D4—22no—
2609D4—24no—
2610D4—24no—
2611D4—22no—
2612D4—44no—
2613D4—44no—
2614D4—44no—
2615D4—44no—
2616D4—42no—
2617D4—42no—
2618D4—44no—
2619D4—42no—
2620D4—42no—
2621D4—42no—
2622D4—44no—
2623D4—42no—
2624D4—1064no—
2625D4—1064no—
2626D4—1064no—
2627D4—1064no—
2628D4—1068no—
2629D4—1064no—
2630D4—1064no—
2631D4—1068no—
2632D4—1064no—
2633D4—1068no—
2634D4—1064no—
2635D4—1064no—
2636D4—1064no—
2637D4—1064no—
2638D4—1064no—
2639D4—1064no—
2640D4—1064no—
2641D4—1064no—
2642D4—1068no—
2643D4—1064no—
2644D4—1062no—
2645D4—1062no—
2646D4—1062no—
2647D4—1064no—
2648D4—2122no—
2649D4—2122no—
2650D4—2124no—
2651D4—2124no—
2652D4—2124no—
2653D4—2124no—
2654D4—2124no—
2655D4—2122no—
2656D4—2124no—
2657D4—2124no—
2658D4—2124no—
2659D4—2124no—
2660D4—2124no—
2661D4—2124no—
2662D4—2124no—
2663D4—2124no—
2664D4—2124no—
2665D4—2124no—
2666D4—2124no—
2667D4—2122no—
2668D4—2122no—
2669D4—2124no—
2670D4—2122no—
2671D4—2122no—
2672C2×C4—22no—
2673C2×C4—22no—
2674C2×C4—24no—
2675C2×C4—24no—
2676C2×C4—24no—
2677C2×C4—41no—
2678C2×C4—44no—
2679C2×C4—44no—
2680C2×C4—44no—
2681C2×C4—531no—
2682C2×C4—531no—
2683C2×C4—531no—
2684C2×C4—534no—
2685C2×C4—534no—
2686C2×C4—532no—
2687C2×C4—531no—
2688C2×C4—531no—
2689C2×C4—531no—
2690C2×C4—532no—
2691C2×C4—534no—
2692C2×C4—532no—
2693C2×C4—532no—
2694C2×C4—532no—
2695C2×C4—1062no—
2696C2×C4—1062no—
2697C2×C4—1062no—
2698C2×C4—1062no—
2699C2×C4—1068no—
2700C2×C4—1064no—
2701C2×C4—1064no—
2702C2×C4—1062no—
2703C2×C4—1062no—
2704C2×C4—1062no—
2705C2×C4—1062no—
2706C2×C4—1068no—
2707C2×C4—1062no—
2708C2×C4—1064no—
2709C2×C4—1064no—
2710C2×C4—1062no—
2711C2×C4—1062no—
2712C2×C4—1064no—
2713C2×C4—1064no—
2714C2×C4—1064no—
2715C2×C4—2121no—
2716C2×C4—2121no—
2717C2×C4—2122no—
2718C2×C4—2122no—
2719C2×C4—2124no—
2720C2×C4—2124no—
2721C2×C4—2122no—
2722C2×C4—2122no—
2723C2×C4—2124no—
2724C2×C4—2124no—
2725C2×C4—2124no—
2726C2×C4—2124no—
2727C2×C4—2122no—
2728C2×C4—2122no—
2729C2×C4—2124no—
2730C2×C4—2124no—
2731C2×C4C24×D5312yes—
2732C2×C4C24×D5311yescharacteristic
2733C2×C4C24×D5311yescharacteristic
2734C2×C4C24×D5311yescharacteristic
2735C2×C4C24×D5311yescharacteristic
2736C2×C4C24×D5312yes—
2737C2×C4C24×D5312yes—
2738C2×C4C24×D5314yes—
2739C2×C4C24×D5312yes—
2740C2×C4C24×D5312yes—
2741C2×C4C24×D5311yescharacteristic
2742C2×C4C24×D5311yescharacteristic
2743C22—21no—
2744C22—21no—
2745C22—22no—
2746C22—22no—
2747C22—22no—
2748C22—22no—
2749C22—24no—
2750C22—24no—
2751C22—22no—
2752C22—22no—
2753C22—21no—
2754C22—22no—
2755C22—22no—
2756C22—24no—
2757C22—22no—
2758C22—164no—
2759C22—532no—
2760C22—532no—
2761C22—8484no—
2762C22—8484no—
2763C22—8484no—
2764C22—1061no—
2765C22—1061no—
2766C22—1061no—
2767C22—1061no—
2768C22—1064no—
2769C22—1062no—
2770C22—1062no—
2771C22—1062no—
2772C22—1062no—
2773C22—1062no—
2774C22—1064no—
2775C22—1062no—
2776C22—1062no—
2777C22—1062no—
2778C22—1064no—
2779C22—1062no—
2780C22—4244no—
2781C22—4248no—
2782C22—4244no—
2783C22—2124no—
2784C22C25×D5311yescharacteristic
2785C4—21no—
2786C4—22no—
2787C4—22no—
2788C4—21no—
2789C4—22no—
2790C4—22no—
2791C4—24no—
2792C4—21no—
2793C4—21no—
2794C4—22no—
2795C4—532no—
2796C4—532no—
2797C4—532no—
2798C4—1061no—
2799C4—1061no—
2800C4—1062no—
2801C4—1062no—
2802C4—1064no—
2803C4—1062no—
2804C4—1062no—
2805C4—1061no—
2806C4—1062no—
2807C4H(5,𝔽2)×D5312yes—
2808C4H(5,𝔽2)×D5312yes—
2809C2—42no—
2810C2—42no—
2811C2—44no—
2812C2—42no—
2813C2—41no—
2814C2—1062no—
2815C2—1062no—
2816C2—2122no—
2817C2—2122no—
2818C2—2124no—
2819C2—2122no—
2820C2C2×H(5,𝔽2)×D5311yescharacteristic
2821C2C2×H(5,𝔽2)×D5311yescharacteristic
2822C2#585×D5311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3546C2
hypercenter#3546D53
hypocenterC53#62834
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3546

Complements

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

NH ≅ G/Ntype
1. #20289233C2semidirect
2. #20289230C2semidirect
3. #20289226C2semidirect
4. #20289118C2semidirect
5. #20289110C2semidirect
6. #20289089C2semidirect
7. #20289087C2semidirect
8. #20289081C2semidirect
9. #20289078C2semidirect
10. #20288949C2semidirect
11. #20288744C2semidirect
12. #20288740C2semidirect
13. #20288739C2semidirect
14. #20288625C2semidirect
15. #20288620C2semidirect
16. #20288619C2semidirect
17. #20288585C2semidirect
18. #20288583C2semidirect
19. #20288568C2semidirect
20. #20288561C2semidirect
21. #20288559C2semidirect
22. #20288492C2semidirect
23. #20288490C2semidirect
24. #20288487C2semidirect
25. #20288475C2semidirect
26. #20288473C2semidirect
27. #20288471C2semidirect
28. #20288383C2semidirect
29. #20288382C2semidirect
30. #20288379C2semidirect
31. #20288378C2semidirect
32. #20288009C2semidirect
33. #532×D53C2semidirect
34. #532×D53C2semidirect
35. C53×#3546C2semidirect
36. C2×#13133263C22semidirect
37. C2×#13133263C22semidirect
38. C2×#13133262C22semidirect
39. C2×#13133262C22semidirect
40. C2×#41×D53C22semidirect
41. C2×#41×D53C22semidirect
42. #16811369C22semidirect
43. #16811368C22semidirect
44. #16811366C22semidirect
45. #16811365C22semidirect
46. #16811363C22semidirect
47. #16811361C22semidirect
48. #16811361C22semidirect
49. #16811359C22semidirect
50. #16811358C22semidirect
51. #16811357C22semidirect
52. #16811356C22semidirect
53. #16811356C22semidirect
54. #16811355C22semidirect
55. #16811347C22semidirect
56. #16811346C22semidirect
57. #16811343C22semidirect
58. #16811340C22semidirect
59. #16811337C22semidirect
60. #16811337C22semidirect
61. #16811336C22semidirect
62. #16811336C22semidirect
63. #16811335C22semidirect
64. #16811331C22semidirect
65. #16811328C22semidirect
66. #16811327C22semidirect
67. #16811326C22semidirect
68. #16811324C22semidirect
69. #16811324C22semidirect
70. #16811324C22semidirect
71. #16811323C22semidirect
72. #16811319C22semidirect
73. #16811318C22semidirect
74. #16811318C22semidirect
75. #16811316C22semidirect
76. #16811295C22semidirect
77. #16811294C22semidirect
78. #16811294C22semidirect
79. #16811293C22semidirect
80. #16811293C22semidirect
81. #16811292C22semidirect
82. #16811292C22semidirect
83. #16811291C22semidirect
84. #16811291C22semidirect
85. #16811291C22semidirect
86. #16811291C22semidirect
87. #16811291C22semidirect
88. #16811285C22semidirect
89. #16811283C22semidirect
90. #16811283C22semidirect
91. #16811281C22semidirect
92. #16811281C22semidirect
93. #16811280C22semidirect
94. #16811278C22semidirect
95. #16811277C22semidirect
96. #16811276C22semidirect
97. #16811275C22semidirect
98. #16811274C22semidirect
99. #16811273C22semidirect
100. #16811272C22semidirect
101. #16811271C22semidirect
102. #16811270C22semidirect
103. #16811270C22semidirect
104. #16811270C22semidirect
105. #16811269C22semidirect
106. #16811269C22semidirect
107. #16811269C22semidirect
108. #16811268C22semidirect
109. #16811267C22semidirect
110. #16811266C22semidirect
111. #16811266C22semidirect
112. #16811265C22semidirect
113. #16811265C22semidirect
114. #16811264C22semidirect
115. #16811264C22semidirect
116. #16811263C22semidirect
117. #16811263C22semidirect
118. #16811262C22semidirect
119. #16811262C22semidirect
120. #16811262C22semidirect
121. #16811261C22semidirect
122. #16811261C22semidirect
123. #16811260C22semidirect
124. #16811260C22semidirect
125. #16811260C22semidirect
126. D4×D212C22semidirect
127. D4×D212C22semidirect
128. D4×D212C22semidirect
129. #16811258C22semidirect
130. #16811258C22semidirect
131. #16811258C22semidirect
132. #16811257C22semidirect
133. #16811257C22semidirect
134. #16811257C22semidirect
135. #16811257C22semidirect
136. #16811257C22semidirect
137. #16811257C22semidirect
138. #16811257C22semidirect
139. #16811257C22semidirect
140. D4×C22⋊D53C22semidirect
141. D4×C22⋊D53C22semidirect
142. D4×C22⋊D53C22semidirect
143. #16811255C22semidirect
144. #16811255C22semidirect
145. #16811255C22semidirect
146. #16811255C22semidirect
147. #16811255C22semidirect
148. #16811255C22semidirect
149. #16811247C22semidirect
150. #16811244C22semidirect
151. #16811242C22semidirect
152. #16811241C22semidirect
153. #16811239C22semidirect
154. #16811225C22semidirect
155. #16811223C22semidirect
156. #16811223C22semidirect
157. #16811223C22semidirect
158. #16811212C22semidirect
159. #16811212C22semidirect
160. #16811212C22semidirect
161. #16811212C22semidirect
162. #16811210C22semidirect
163. #16811209C22semidirect
164. #16811208C22semidirect
165. #16811207C22semidirect
166. #16811206C22semidirect
167. #16811205C22semidirect
168. #16811205C22semidirect
169. #16811203C22semidirect
170. #16811203C22semidirect
171. #16811203C22semidirect
172. #16811202C22semidirect
173. #16811202C22semidirect
174. #16811202C22semidirect
175. #16811202C22semidirect
176. #16811201C22semidirect
177. #16811200C22semidirect
178. #16811192C22semidirect
179. #16811191C22semidirect
180. #16811191C22semidirect
181. #16811189C22semidirect
182. #16811189C22semidirect
183. #16811189C22semidirect
184. #16811189C22semidirect
185. #16811189C22semidirect
186. #16811188C22semidirect
187. #16811188C22semidirect
188. #16811188C22semidirect
189. #16811187C22semidirect
190. #16811186C22semidirect
191. #16811186C22semidirect
192. #16811186C22semidirect
193. #16811186C22semidirect
194. #16811184C22semidirect
195. #16811184C22semidirect
196. #16811183C22semidirect
197. #16811183C22semidirect
198. #16811179C22semidirect
199. #16811177C22semidirect
200. #16811177C22semidirect
201. #16811175C22semidirect
202. #16811175C22semidirect
203. #16811174C22semidirect
204. #16811174C22semidirect
205. #16811173C22semidirect
206. #16811173C22semidirect
207. #16811172C22semidirect
208. #16811172C22semidirect
209. #16811172C22semidirect
210. #16811172C22semidirect
211. #16811171C22semidirect
212. #16811171C22semidirect
213. #16811170C22semidirect
214. #16811170C22semidirect
215. #16811170C22semidirect
216. #16811170C22semidirect
217. #16811170C22semidirect
218. #16811170C22semidirect
219. #16811170C22semidirect
220. #16811169C22semidirect
221. #16811169C22semidirect
222. #16811169C22semidirect
223. #16811168C22semidirect
224. #16811168C22semidirect
225. #16811168C22semidirect
226. #16811168C22semidirect
227. #16811168C22semidirect
228. #16811168C22semidirect
229. #16811168C22semidirect
230. C4⋊Q8×D53C22semidirect
231. C4⋊Q8×D53C22semidirect
232. C2×#13133213C22semidirect
233. #127×D53C22semidirect
234. #127×D53C22semidirect
235. #127×D53C22semidirect
236. #16811158C22semidirect
237. #16811157C22semidirect
238. #16811156C22semidirect
239. #16811156C22semidirect
240. #16811152C22semidirect
241. #16811151C22semidirect
242. #16811150C22semidirect
243. #124×D53C22semidirect
244. #124×D53C22semidirect
245. #16811136C22semidirect
246. #16811136C22semidirect
247. #16811135C22semidirect
248. #16811133C22semidirect
249. #16811133C22semidirect
250. #16811132C22semidirect
251. #16811132C22semidirect
252. #16811131C22semidirect
253. #16811131C22semidirect
254. #16811130C22semidirect
255. C2×#13133192C22semidirect
256. C2×#13133190C22semidirect
257. C2×#13133188C22semidirect
258. #121×D53C22semidirect
259. #121×D53C22semidirect
260. #121×D53C22semidirect
261. #121×D53C22semidirect
262. #121×D53C22semidirect
263. #121×D53C22semidirect
264. #121×D53C22semidirect
265. #121×D53C22semidirect
266. #16811105C22semidirect
267. #16811104C22semidirect
268. #16811103C22semidirect
269. #16811102C22semidirect
270. #16811096C22semidirect
271. #16811095C22semidirect
272. C4×#11719949C22semidirect
273. #16811091C22semidirect
274. C4×#11719947C22semidirect
275. C4×#11719947C22semidirect
276. C4×D4×D53C22semidirect
277. C4×D4×D53C22semidirect
278. C4×D4×D53C22semidirect
279. C4×D4×D53C22semidirect
280. C4×D4×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#560C22semidirect
283. C53×#556C22semidirect
284. C53×#553C22semidirect
285. C53×#550C22semidirect
286. C53×#550C22semidirect
287. C53×#547C22semidirect
288. C53×#546C22semidirect
289. C53×#546C22semidirect
290. D42×C53C22semidirect
291. C53×#542C22semidirect
292. C53×#538C22semidirect
293. C53×#537C22semidirect
294. C53×#535C22semidirect
295. C53×#535C22semidirect
296. C53×#532C22semidirect
297. C53×#532C22semidirect
298. C53×#529C22semidirect
1321. C4×D53H(5,𝔽2)semidirect
1322. C4×D53H(5,𝔽2)semidirect
1407. #3546D53semidirect
1460. #560C2×D53semidirect
1471. #556C2×D53semidirect
1489. #553C2×D53semidirect
1502. #550C2×D53semidirect
1503. #550C2×D53semidirect
1518. #547C2×D53semidirect
1543. #546C2×D53semidirect
1544. #546C2×D53semidirect
1568. D42C2×D53semidirect
1574. #542C2×D53semidirect
1590. #538C2×D53semidirect
1600. #537C2×D53semidirect
1617. #535C2×D53semidirect
1618. #535C2×D53semidirect
1655. #532C2×D53semidirect
1656. #532C2×D53semidirect
1670. #529C2×D53semidirect
1710. C53#62834semidirect

Maximal subgroups

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

subgroupindex
#202892332
#202892302
#202892262
#202891182
#202891102
#202890892
#202890872
#202890812
#202890782
#202889492
#202887442
#202887402
#202887392
#202886252
#202886202
#202886192
#202885852
#202885832
#202885682
#202885612
#202885592
#202884922
#202884902
#202884872
#202884752
#202884732
#202884712
#202883832
#202883822
#202883792
#202883782
#202880092
#532×D532
C53×#35462
#6283453