Finite Group Databasebeta

← #28292992

Subgroups — #28292992

Order 13568.

7900 conjugacy classes of subgroups.

The subgroup lattice has 2818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289226C214yesmaximal, complemented
2#20289225C214yesmaximal, complemented
3#20289117C211yesmaximal, characteristic, complemented
4#20289116C211yesmaximal, characteristic, complemented
5#20289114C211yesmaximal, characteristic, complemented
6#20289108C211yesmaximal, characteristic, complemented
7#20289086C212yesmaximal, complemented
8#20289080C214yesmaximal, complemented
9#20289079C212yesmaximal, complemented
10#20288951C212yesmaximal, complemented
11#20288946C212yesmaximal, complemented
12#20288749C211yesmaximal, characteristic, complemented
13#20288747C211yesmaximal, characteristic, complemented
14#20288745C212yesmaximal, complemented
15#20288742C211yesmaximal, characteristic, complemented
16#20288737C212yesmaximal, complemented
17#20288623C211yesmaximal, characteristic, complemented
18#20288617C212yesmaximal, complemented
19#20288615C211yesmaximal, characteristic, complemented
20#20288587C212yesmaximal, complemented
21#20288586C212yesmaximal, complemented
22#20288561C212yesmaximal, complemented
23#20288558C212yesmaximal, complemented
24#20288492C211yesmaximal, characteristic, complemented
25#20288487C211yesmaximal, characteristic, complemented
26#20288487C212yesmaximal, complemented
27#20288475C212yesmaximal, complemented
28#20288472C212yesmaximal, complemented
29#20288380C212yesmaximal, complemented
30#20288378C214yesmaximal, complemented
31#20288376C212yesmaximal, complemented
32#20288009C211yesmaximal, characteristic, complemented
33C2×#16811170C211yesmaximal, characteristic, complemented
34#532×D53C211yesmaximal, characteristic, complemented
35C53×#3519C211yesmaximal, characteristic, complemented
36C2×#13133263C2212yescomplemented
37C2×#13133262C2214yescomplemented
38C2×#13133262C2212yescomplemented
39C22×#11719945C2212yescomplemented
40C2×#41×D53C2212yescomplemented
41#16811369C2214yescomplemented
42#16811368C2214yescomplemented
43#16811366C2214yescomplemented
44#16811365C2214yescomplemented
45#16811364C2214yescomplemented
46#16811363C2214yescomplemented
47#16811362C2214yescomplemented
48#16811361C2214yescomplemented
49#16811357C2214yescomplemented
50#16811357C2214yescomplemented
51#16811356C2214yescomplemented
52#16811356C2214yescomplemented
53#16811344C2212yescomplemented
54#16811341C2212yescomplemented
55#16811340C2214yescomplemented
56#16811339C2211yescharacteristic, complemented
57#16811338C2211yescharacteristic, complemented
58#16811338C2211yescharacteristic, complemented
59#16811337C2212yescomplemented
60#16811337C2212yescomplemented
61#16811336C2212yescomplemented
62#16811336C2212yescomplemented
63#16811334C2211yescharacteristic, complemented
64#16811333C2211yescharacteristic, complemented
65#16811332C2212yescomplemented
66#16811330C2211yescharacteristic, complemented
67#16811329C2212yescomplemented
68#16811326C2212yescomplemented
69#16811326C2212yescomplemented
70#16811325C2212yescomplemented
71#16811323C2212yescomplemented
72#16811323C2212yescomplemented
73#16811322C2214yescomplemented
74#16811321C2212yescomplemented
75#16811320C2212yescomplemented
76#16811319C2212yescomplemented
77#16811319C2212yescomplemented
78#16811318C2214yescomplemented
79#16811317C2212yescomplemented
80#16811295C2211yescharacteristic, complemented
81#16811294C2214yescomplemented
82#16811294C2214yescomplemented
83#16811294C2212yescomplemented
84#16811294C2211yescharacteristic, complemented
85#16811293C2211yescharacteristic, complemented
86#16811293C2212yescomplemented
87#16811292C2212yescomplemented
88#16811291C2212yescomplemented
89#16811291C2214yescomplemented
90#16811291C2214yescomplemented
91#16811291C2214yescomplemented
92#16811283C2214yescomplemented
93#16811282C2214yescomplemented
94#16811281C2214yescomplemented
95#16811279C2214yescomplemented
96#16811275C2212yescomplemented
97#16811274C2212yescomplemented
98#16811274C2212yescomplemented
99#16811273C2212yescomplemented
100#16811273C2212yescomplemented
101#16811272C2212yescomplemented
102#16811271C2214yescomplemented
103#16811270C2214yescomplemented
104#16811269C2212yescomplemented
105#16811269C2214yescomplemented
106#16811268C2212yescomplemented
107#16811266C2212yescomplemented
108#16811265C2214yescomplemented
109#16811265C2214yescomplemented
110#16811265C2214yescomplemented
111#16811265C2214yescomplemented
112#16811263C2214yescomplemented
113#16811263C2214yescomplemented
114#16811263C2214yescomplemented
115#16811263C2214yescomplemented
116#16811263C2214yescomplemented
117#16811263C2214yescomplemented
118#16811263C2214yescomplemented
119#16811262C2214yescomplemented
120#16811262C2214yescomplemented
121#16811262C2214yescomplemented
122#16811261C2214yescomplemented
123D4×D212C2211yescharacteristic, complemented
124D4×D212C2211yescharacteristic, complemented
125D4×D212C2214yescomplemented
126D4×D212C2212yescomplemented
127D4×D212C2212yescomplemented
128#16811258C2211yescharacteristic, complemented
129#16811258C2212yescomplemented
130#16811257C2212yescomplemented
131#16811257C2212yescomplemented
132#16811257C2212yescomplemented
133#16811257C2214yescomplemented
134#16811257C2214yescomplemented
135#16811257C2212yescomplemented
136#16811257C2212yescomplemented
137D4×C22⋊D53C2212yescomplemented
138D4×C22⋊D53C2212yescomplemented
139D4×C22⋊D53C2212yescomplemented
140D4×C22⋊D53C2214yescomplemented
141D4×C22⋊D53C2214yescomplemented
142D4×C22⋊D53C2212yescomplemented
143D4×C22⋊D53C2212yescomplemented
144#16811255C2214yescomplemented
145#16811255C2214yescomplemented
146#16811255C2214yescomplemented
147#16811255C2214yescomplemented
148#16811243C2214yescomplemented
149#16811241C2214yescomplemented
150#16811239C2214yescomplemented
151#16811237C2214yescomplemented
152#16811229C2212yescomplemented
153#16811228C2212yescomplemented
154#16811227C2212yescomplemented
155#16811224C2212yescomplemented
156#16811224C2212yescomplemented
157#16811224C2212yescomplemented
158#16811224C2212yescomplemented
159#16811212C2214yescomplemented
160#16811212C2214yescomplemented
161#16811211C2214yescomplemented
162#16811209C2214yescomplemented
163#16811208C2214yescomplemented
164#16811207C2214yescomplemented
165#16811206C2214yescomplemented
166#16811206C2214yescomplemented
167#16811206C2214yescomplemented
168#16811205C2214yescomplemented
169#16811205C2214yescomplemented
170#16811204C2212yescomplemented
171#16811203C2212yescomplemented
172#16811203C2214yescomplemented
173#16811203C2212yescomplemented
174#16811202C2212yescomplemented
175#16811202C2212yescomplemented
176#16811201C2212yescomplemented
177#16811200C2214yescomplemented
178#16811200C2214yescomplemented
179#16811192C2212yescomplemented
180#16811192C2212yescomplemented
181#16811191C2214yescomplemented
182#16811190C2212yescomplemented
183#16811190C2212yescomplemented
184#16811189C2212yescomplemented
185#16811189C2212yescomplemented
186#16811189C2212yescomplemented
187#16811189C2214yescomplemented
188#16811189C2212yescomplemented
189#16811189C2214yescomplemented
190#16811189C2212yescomplemented
191#16811189C2212yescomplemented
192#16811188C2214yescomplemented
193#16811188C2214yescomplemented
194#16811188C2214yescomplemented
195#16811188C2214yescomplemented
196#16811184C2214yescomplemented
197#16811183C2214yescomplemented
198#16811182C2214yescomplemented
199#16811181C2214yescomplemented
200#16811179C2211yescharacteristic, complemented
201#16811179C2212yescomplemented
202#16811177C2211yescharacteristic, complemented
203#16811176C2212yescomplemented
204#16811175C2211yescharacteristic, complemented
205#16811174C2211yescharacteristic, complemented
206#16811173C2211yescharacteristic, complemented
207#16811172C2211yescharacteristic, complemented
208#16811172C2212yescomplemented
209#16811171C2211yescharacteristic, complemented
210#16811170C2211yescharacteristic, complemented
211#16811170C2212yescomplemented
212#16811170C2212yescomplemented
213#16811170C2212yescomplemented
214#16811170C2212yescomplemented
215#16811170C2211yescharacteristic, complemented
216#16811170C2212yescomplemented
217#16811170C2212yescomplemented
218#16811170C2212yescomplemented
219#16811170C2211yescharacteristic, complemented
220#16811170C2211yescharacteristic, complemented
221#16811170C2211yescharacteristic, complemented
222#16811170C2211yescharacteristic, complemented
223#16811170C2211yescharacteristic, complemented
224#16811170C2212yescomplemented
225#16811170C2211yescharacteristic, complemented
226#16811170C2211yescharacteristic, complemented
227#16811169C2212yescomplemented
228#16811168C2211yescharacteristic, complemented
229#16811168C2212yescomplemented
230#16811168C2212yescomplemented
231#16811168C2212yescomplemented
232#16811168C2212yescomplemented
233C2×#13133216C2211yescharacteristic, complemented
234C4⋊Q8×D53C2211yescharacteristic, complemented
235C2×#13133213C2212yescomplemented
236C2×#13133213C2211yescharacteristic, complemented
237#127×D53C2212yescomplemented
238#127×D53C2211yescharacteristic, complemented
239#16811158C2211yescharacteristic, complemented
240#16811157C2211yescharacteristic, complemented
241#16811156C2212yescomplemented
242#16811156C2212yescomplemented
243#16811152C2211yescharacteristic, complemented
244#16811151C2212yescomplemented
245#16811150C2212yescomplemented
246C2×#13133203C2212yescomplemented
247#124×D53C2212yescomplemented
248#16811136C2211yescharacteristic, complemented
249#16811136C2212yescomplemented
250#16811134C2212yescomplemented
251#16811133C2211yescharacteristic, complemented
252#16811133C2212yescomplemented
253#16811132C2212yescomplemented
254#16811132C2214yescomplemented
255#16811131C2212yescomplemented
256#16811131C2214yescomplemented
257C2×#13133192C2211yescharacteristic, complemented
258C2×#13133191C2212yescomplemented
259C2×#13133190C2212yescomplemented
260C2×#13133190C2214yescomplemented
261C2×#13133188C2211yescharacteristic, complemented
262#121×D53C2212yescomplemented
263#121×D53C2212yescomplemented
264#121×D53C2214yescomplemented
265#121×D53C2212yescomplemented
266#121×D53C2212yescomplemented
267#16811104C2212yescomplemented
268#16811103C2212yescomplemented
269#16811102C2214yescomplemented
270#16811097C2212yescomplemented
271#16811095C2212yescomplemented
272#16811095C2212yescomplemented
273C4×#11719949C2211yescharacteristic, complemented
274#16811091C2212yescomplemented
275C4×#11719947C2211yescharacteristic, complemented
276C4×#11719947C2212yescomplemented
277C2×C4×D212C2211yescharacteristic, complemented
278C2×C4×C22⋊D53C2212yescomplemented
279C4×D4×D53C2212yescomplemented
280C4×D4×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#555C2211yescharacteristic, complemented
283C53×#554C2211yescharacteristic, complemented
284C53×#553C2212yescomplemented
285C53×#553C2212yescomplemented
286C53×#550C2211yescharacteristic, complemented
287C53×#546C2212yescomplemented
288C53×#546C2214yescomplemented
289D42×C53C2211yescharacteristic, complemented
290D42×C53C2212yescomplemented
291C53×#540C2212yescomplemented
292C53×#538C2214yescomplemented
293C53×#532C2211yescharacteristic, complemented
294C53×#529C2211yescharacteristic, complemented
295C53×#525C2212yescomplemented
296C2×#121×C53C2212yescomplemented
297C53×#518C2212yescomplemented
298C2×C4×D4×C53C2211yescharacteristic, complemented
299#13133263—48no—
300#13133262—48no—
301#13133262—416no—
302C2×#11719949C2311yescharacteristic
303C2×#11719949C2312yes—
304C2×#11719949C2312yes—
305C2×#11719945—48no—
306C2×#11719945C2312yes—
307C2×#11719945C2312yes—
308C2×#11719945C2312yes—
309C2×#11719945C2312yes—
310C2×#11719945C2312yes—
311C2×#11719945C2314yes—
312C2×#11719945C2312yes—
313C2×#11719945C2312yes—
314C2×#11719945C2314yes—
315C2×#11719945C2314yes—
316C2×#11719945C2314yes—
317C2×#11719945C2312yes—
318C2×#11719945C2312yes—
319C2×#11719945C2312yes—
320C2×#11719945C2312yes—
321C2×#11719947C2312yes—
322C2×#11719947C2311yescharacteristic
323C2×#11719947C2314yes—
324C2×#11719947C2312yes—
325C2×#11719947C2314yes—
326C2×#11719947C2314yes—
327C2×#11719947C2314yes—
328C2×#11719947C2312yes—
329#41×D53—48no—
330C22×Dic106C2312yes—
331C2×Q8×D53C2312yes—
332C22×D212C2314yes—
333C22×D212C2312yes—
334C22×D212C2311yescharacteristic
335C22×D212C2312yes—
336C22×D212C2312yes—
337C22×C22⋊D53C2312yes—
338C22×C22⋊D53C2312yes—
339C22×C22⋊D53C2314yes—
340C22×C22⋊D53C2314yes—
341C22×C22⋊D53C2314yes—
342C22×C22⋊D53C2312yes—
343C22×C22⋊D53C2314yes—
344C22×C22⋊D53C2314yes—
345C2×D4×D53C2312yes—
346C2×D4×D53C2314yes—
347C2×D4×D53C2314yes—
348C2×D4×D53C2314yes—
349C2×D4×D53C2314yes—
350C2×D4×D53C2312yes—
351C2×D4×D53C2312yes—
352C2×D4×D53C2314yes—
353C2×D4×D53C2312yes—
354C2×D4×D53C2312yes—
355C2×D4×D53C2312yes—
356C2×D4×D53C2314yes—
357C2×D4×D53C2314yes—
358C2×D4×D53C2314yes—
359C2×D4×D53C2312yes—
360C22×C4×D53C2311yescharacteristic
361C22×C4×D53C2311yescharacteristic
362C22×C4×D53C2311yescharacteristic
363C22×C4×D53C2314yes—
364C22×C4×D53C2312yes—
365#13133217C2311yescharacteristic
366#13133216C2312yes—
367#13133216C2311yescharacteristic
368#13133216C2312yes—
369#13133216C2311yescharacteristic
370#13133216C2311yescharacteristic
371#13133216C2311yescharacteristic
372#13133216C2312yes—
373#13133216C2311yescharacteristic
374#13133216C2311yescharacteristic
375#13133216C2312yes—
376#13133215C2311yescharacteristic
377#13133215C2312yes—
378#13133214C2314yes—
379#13133214C2311yescharacteristic
380#13133214C2312yes—
381#13133213C2314yes—
382#13133213C2314yes—
383#13133213C2314yes—
384#13133213C2312yes—
385#13133213C2314yes—
386#13133213C2312yes—
387#13133213C2314yes—
388#13133213C2314yes—
389#13133213C2311yescharacteristic
390#13133213C2312yes—
391#13133213C2314yes—
392#13133213C2311yescharacteristic
393#13133213C2312yes—
394#13133213C2311yescharacteristic
395#13133213C2312yes—
396#13133213C2312yes—
397#13133213C2311yescharacteristic
398#13133213C2312yes—
399#13133213C2311yescharacteristic
400#13133212C2314yes—
401#13133212C2314yes—
402#13133212C2314yes—
403#13133212C2312yes—
404#13133211C2314yes—
405#13133211C2312yes—
406#13133210C2314yes—
407#13133210C2314yes—
408#13133210C2314yes—
409#13133210C2312yes—
410#13133209C2311yescharacteristic
411#13133209C2312yes—
412#13133208C2312yes—
413#13133208C2312yes—
414#13133207C2312yes—
415#13133207C2312yes—
416#13133206C2314yes—
417#13133206C2312yes—
418#13133205C2311yescharacteristic
419#13133205C2314yes—
420#13133205C2314yes—
421#13133205C2312yes—
422#13133204C2314yes—
423#13133204C2314yes—
424#13133204C2312yes—
425#13133203C2314yes—
426#13133203C2314yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2314yes—
430#13133203C2314yes—
431#13133203C2314yes—
432#13133203C2314yes—
433#13133203C2314yes—
434#13133203C2314yes—
435#13133203C2312yes—
436#13133203C2314yes—
437#13133203C2312yes—
438#13133203C2312yes—
439#13133203C2312yes—
440#13133203C2312yes—
441#13133203C2314yes—
442#13133203C2312yes—
443#13133203C2312yes—
444#13133203C2312yes—
445#13133203C2312yes—
446#13133203C2312yes—
447#13133202C2312yes—
448#13133202C2314yes—
449#13133202C2314yes—
450#13133202C2314yes—
451#13133202C2314yes—
452#13133202C2314yes—
453#13133202C2314yes—
454#13133202C2312yes—
455#13133201C2314yes—
456#13133200C2314yes—
457#13133200C2314yes—
458#13133200C2314yes—
459#13133200C2314yes—
460#13133200C2314yes—
461#13133200C2312yes—
462#13133199C2314yes—
463#13133199C2312yes—
464#13133199C2314yes—
465#13133199C2314yes—
466#13133199C2314yes—
467#13133199C2314yes—
468#13133199C2314yes—
469#13133199C2312yes—
470#13133198C2314yes—
471#13133198C2314yes—
472#13133198C2314yes—
473#13133197C2312yes—
474#13133197C2314yes—
475#13133197C2311yescharacteristic
476#13133196C2312yes—
477#13133196C2314yes—
478#13133196C2311yescharacteristic
479#13133195C2314yes—
480#13133195C2314yes—
481#13133195C2314yes—
482#13133195C2314yes—
483#13133195C2314yes—
484#13133195C2312yes—
485#13133195C2312yes—
486#13133195C2312yes—
487#13133194C2314yes—
488#13133194C2314yes—
489#13133194C2314yes—
490#13133194C2314yes—
491#13133194C2314yes—
492#13133194C2312yes—
493#13133193C2312yes—
494#13133193C2314yes—
495#13133193C2311yescharacteristic
496#13133192C2314yes—
497#13133192C2314yes—
498#13133192C2314yes—
499#13133192C2314yes—
500#13133192C2312yes—
501#13133192C2312yes—
502#13133192C2312yes—
503#13133192C2314yes—
504#13133192C2311yescharacteristic
505#13133192C2312yes—
506#13133192C2311yescharacteristic
507#13133192C2312yes—
508#13133192C2312yes—
509#13133192C2312yes—
510#13133192C2312yes—
511#13133192C2312yes—
512#13133192C2311yescharacteristic
513#13133192C2311yescharacteristic
514#13133192C2311yescharacteristic
515#13133191C2314yes—
516#13133191C2312yes—
517#13133191C2314yes—
518#13133191C2312yes—
519#13133191C2314yes—
520#13133191C2312yes—
521#13133191C2314yes—
522#13133191C2314yes—
523#13133191C2314yes—
524#13133191C2314yes—
525#13133191C2312yes—
526#13133191C2312yes—
527#13133191C2312yes—
528#13133191C2311yescharacteristic
529#13133191C2312yes—
530#13133190C2312yes—
531#13133190C2314yes—
532#13133190C2314yes—
533#13133190C2314yes—
534#13133190C2314yes—
535#13133190C2314yes—
536#13133190C2314yes—
537#13133190C2314yes—
538#13133190C2314yes—
539#13133190C2312yes—
540#13133190C2314yes—
541#13133190C2312yes—
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2314yes—
545#13133190C2314yes—
546#13133190C2312yes—
547#13133190C2314yes—
548#13133190C2314yes—
549#13133190C2314yes—
550#13133190C2314yes—
551#13133190C2314yes—
552#13133190C2314yes—
553#13133190C2312yes—
554#13133190C2312yes—
555#13133190C2312yes—
556#13133190C2312yes—
557#13133190C2312yes—
558#13133190C2312yes—
559#13133190C2312yes—
560#13133189C2314yes—
561#13133189C2314yes—
562#13133189C2314yes—
563#13133189C2314yes—
564#13133189C2314yes—
565#13133189C2314yes—
566#13133189C2314yes—
567#13133189C2314yes—
568#13133189C2314yes—
569#13133189C2314yes—
570#13133189C2314yes—
571#13133189C2314yes—
572#13133189C2314yes—
573#13133189C2314yes—
574#13133189C2314yes—
575#13133189C2312yes—
576#13133188C2312yes—
577#13133188C2314yes—
578#13133188C2314yes—
579#13133188C2312yes—
580#13133188C2314yes—
581#13133188C2312yes—
582#13133188C2311yescharacteristic
583#13133188C2311yescharacteristic
584#13133188C2312yes—
585#13133188C2312yes—
586#13133188C2312yes—
587#13133188C2312yes—
588#13133188C2312yes—
589#13133188C2312yes—
590#13133188C2311yescharacteristic
591#13133188C2311yescharacteristic
592#13133188C2311yescharacteristic
593#13133187C2314yes—
594#13133187C2314yes—
595#13133187C2314yes—
596#13133187C2314yes—
597#13133187C2314yes—
598#13133187C2314yes—
599#13133187C2314yes—
600#13133187C2314yes—
601#13133187C2314yes—
602#13133187C2314yes—
603#13133187C2314yes—
604#13133187C2314yes—
605#13133187C2312yes—
606#13133187C2314yes—
607#13133186C2314yes—
608#13133186C2314yes—
609#13133186C2314yes—
610#13133186C2314yes—
611#13133186C2314yes—
612#13133185C2314yes—
613#13133185C2314yes—
614#13133185C2314yes—
615#13133185C2314yes—
616#13133185C2314yes—
617#13133185C2314yes—
618#13133185C2314yes—
619#13133185C2314yes—
620#13133185C2314yes—
621#13133185C2314yes—
622#13133185C2312yes—
623#13133185C2314yes—
624Q8×Dic53C2311yescharacteristic
625C4×Dic106C2314yes—
626C4×Dic106C2314yes—
627C4×Dic106C2312yes—
628C4×Dic106C2311yescharacteristic
629#13133182C2314yes—
630#13133182C2314yes—
631#13133182C2312yes—
632#13133182C2311yescharacteristic
633#13133182C2312yes—
634#13133182C2312yes—
635C4×D212C2312yes—
636C4×D212C2312yes—
637C4×D212C2314yes—
638C4×D212C2312yes—
639C4×D212C2311yescharacteristic
640C4×D212C2312yes—
641C4×D212C2311yescharacteristic
642C4×D212C2312yes—
643C4×D212C2312yes—
644C4×D212C2311yescharacteristic
645C4×D212C2311yescharacteristic
646C4×D212C2311yescharacteristic
647C4×D212C2312yes—
648D4×Dic53C2312yes—
649D4×Dic53C2311yescharacteristic
650D4×Dic53C2312yes—
651D4×Dic53C2314yes—
652D4×Dic53C2312yes—
653D4×Dic53C2312yes—
654D4×Dic53C2312yes—
655#13133179C2312yes—
656#13133179C2312yes—
657#13133179C2314yes—
658#13133179C2314yes—
659#13133179C2314yes—
660#13133179C2311yescharacteristic
661#13133179C2312yes—
662#13133179C2312yes—
663#13133179C2312yes—
664#13133179C2312yes—
665#13133179C2312yes—
666C4×C22⋊D53C2314yes—
667C4×C22⋊D53C2312yes—
668C4×C22⋊D53C2312yes—
669C4×C22⋊D53C2312yes—
670C4×C22⋊D53C2312yes—
671C4×C22⋊D53C2314yes—
672C4×C22⋊D53C2314yes—
673C4×C22⋊D53C2314yes—
674C4×C22⋊D53C2314yes—
675C4×C22⋊D53C2314yes—
676C4×C22⋊D53C2312yes—
677C4×C22⋊D53C2312yes—
678C4×C22⋊D53C2312yes—
679C4×C22⋊D53C2312yes—
680C4×C22⋊D53C2314yes—
681C4×C22⋊D53C2314yes—
682C4×C22⋊D53C2312yes—
683C4×C22⋊D53C2312yes—
684C4×C22⋊D53C2312yes—
685#13133177C2314yes—
686#13133177C2314yes—
687#13133177C2314yes—
688#13133177C2314yes—
689#13133177C2312yes—
690#13133177C2314yes—
691#13133177C2312yes—
692#13133177C2312yes—
693#13133177C2312yes—
694#13133177C2312yes—
695#13133177C2314yes—
696#13133177C2314yes—
697#13133177C2314yes—
698#13133177C2312yes—
699#13133177C2312yes—
700#13133176C2312yes—
701#13133176C2312yes—
702#13133175C2312yes—
703#13133175C2312yes—
704#13133175C2312yes—
705#13133175C2312yes—
706#13133175C2311yescharacteristic
707#13133175C2312yes—
708#13133175C2311yescharacteristic
709#13133175C2312yes—
710#13133174C2314yes—
711#13133174C2312yes—
712#13133174C2312yes—
713#13133173C2314yes—
714#13133173C2312yes—
715#13133173C2312yes—
716#13133173C2312yes—
717C2×C4⋊Dic53C2312yes—
718C2×C4⋊Dic53C2311yescharacteristic
719C2×#11719919C2314yes—
720C2×#11719919C2312yes—
721C4⋊C4×D53C2314yes—
722C4⋊C4×D53C2312yes—
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2312yes—
725C4⋊C4×D53C2312yes—
726C2×C22⋊Dic53C2312yes—
727C2×#11719921C2312yes—
728C2×#11719921C2314yes—
729C2×#11719921C2314yes—
730C2×#11719921C2312yes—
731C22⋊C4×D53C2314yes—
732C22⋊C4×D53C2314yes—
733C22⋊C4×D53C2314yes—
734C22⋊C4×D53C2314yes—
735C22⋊C4×D53C2314yes—
736C22⋊C4×D53C2314yes—
737C2×C4×Dic53C2311yescharacteristic
738C2×C4×Dic53C2311yescharacteristic
739C2×C4×Dic53C2311yescharacteristic
740C2×C4×Dic53C2312yes—
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2311yescharacteristic
745C42×D53C2311yescharacteristic
746C42×D53C2311yescharacteristic
747C42×D53C2311yescharacteristic
748C42×D53C2311yescharacteristic
749C42×D53C2312yes—
750C2×#41×C53C2312yes—
751C2×#41×C53C2312yes—
752C22×D4×C53C2311yescharacteristic
753C22×D4×C53C2312yes—
754C22×D4×C53C2314yes—
755C22×D4×C53C2312yes—
756C23×C4×C53C2312yes—
757C4⋊Q8×C53C2311yescharacteristic
758#127×C53C2311yescharacteristic
759#127×C53C2312yes—
760#126×C53C2312yes—
761#126×C53C2314yes—
762#125×C53C2311yescharacteristic
763#125×C53C2312yes—
764#124×C53C2311yescharacteristic
765#124×C53C2314yes—
766#124×C53C2312yes—
767#123×C53C2314yes—
768#123×C53C2312yes—
769#123×C53C2314yes—
770#123×C53C2314yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2314yes—
773C22⋊Q8×C53C2311yescharacteristic
774#121×C53C2314yes—
775#121×C53C2312yes—
776#121×C53C2312yes—
777#121×C53C2314yes—
778#121×C53C2312yes—
779#121×C53C2314yes—
780#121×C53C2314yes—
781#121×C53C2311yescharacteristic
782#121×C53C2312yes—
783#121×C53C2312yes—
784#121×C53C2314yes—
785#121×C53C2312yes—
786#121×C53C2312yes—
787#120×C53C2314yes—
788#120×C53C2314yes—
789#120×C53C2314yes—
790C4×Q8×C53C2311yescharacteristic
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2314yes—
794C4×D4×C53C2314yes—
795C4×D4×C53C2311yescharacteristic
796C4×D4×C53C2311yescharacteristic
797C4×D4×C53C2312yes—
798C4×D4×C53C2311yescharacteristic
799C4×D4×C53C2311yescharacteristic
800C4×D4×C53C2312yes—
801C4×D4×C53C2314yes—
802C4×D4×C53C2312yes—
803C4×D4×C53C2312yes—
804C4×D4×C53C2312yes—
805C4×D4×C53C2311yescharacteristic
806#117×C53C2312yes—
807#117×C53C2312yes—
808#117×C53C2312yes—
809C2×C4⋊C4×C53C2312yes—
810C2×C4⋊C4×C53C2311yescharacteristic
811C2×C22⋊C4×C53C2312yes—
812C2×C22⋊C4×C53C2314yes—
813C2×C22⋊C4×C53C2314yes—
814C2×C42×C53C2311yescharacteristic
815C24×C53C2412yes—
816C24×C53C2414yes—
817C23×D53C2411yescharacteristic
818C23×D53C2414yes—
819C23×D53C2412yes—
820C23×D53C2414yes—
821C23×D53C2414yes—
822C23×D53C2414yes—
823#41×C53—44no—
824#41×C53—44no—
825C2×Q8×C53C2411yescharacteristic
826C2×Q8×C53C2412yes—
827C2×D4×C53—42no—
828C2×D4×C53—44no—
829C2×D4×C53—44no—
830C2×D4×C53—48no—
831C2×D4×C53C2411yescharacteristic
832C2×D4×C53C2411yescharacteristic
833C2×D4×C53C2412yes—
834C2×D4×C53C2414yes—
835C2×D4×C53C2412yes—
836C2×D4×C53C2411yescharacteristic
837C2×D4×C53C2412yes—
838C2×D4×C53C2412yes—
839C2×D4×C53C2414yes—
840C2×D4×C53C2414yes—
841C2×D4×C53C2412yes—
842C2×D4×C53C2414yes—
843C2×D4×C53C2414yes—
844C2×D4×C53C2414yes—
845C22×C4×C53—44no—
846C22×C4×C53C2411yescharacteristic
847C22×C4×C53C2411yescharacteristic
848C22×C4×C53C2411yescharacteristic
849C22×C4×C53C2412yes—
850C22×C4×C53C2412yes—
851C22×C4×C53C2412yes—
852C22×C4×C53C2412yes—
853C22×C4×C53C2412yes—
854C22×C4×C53C2414yes—
855C22×C4×C53C2414yes—
856C22×C4×C53C2414yes—
857C22×C4×C53C2412yes—
858C2×C22⋊D53—28no—
859C2×C22⋊D53—44no—
860C2×C22⋊D53—48no—
861C2×C22⋊D53—48no—
862C2×C22⋊D53—48no—
863C2×C22⋊D53—44no—
864C2×C22⋊D53—48no—
865C2×C22⋊D53—48no—
866C2×C22⋊D53C2412yes—
867C2×C22⋊D53C2412yes—
868C2×C22⋊D53C2412yes—
869C2×C22⋊D53C2414yes—
870C2×C22⋊D53C2412yes—
871C2×C22⋊D53C2412yes—
872C2×C22⋊D53C2414yes—
873C2×C22⋊D53C2414yes—
874C2×C22⋊D53C2412yes—
875C2×C22⋊D53C2412yes—
876C2×C22⋊D53C2412yes—
877C2×C22⋊D53C2412yes—
878C2×C22⋊D53C2412yes—
879C2×C22⋊D53C2412yes—
880C2×C22⋊D53C2412yes—
881C2×C22⋊D53C2412yes—
882C2×C22⋊D53C2414yes—
883C2×C22⋊D53C2414yes—
884C2×C22⋊D53C2414yes—
885C2×C22⋊D53C2412yes—
886C2×C22⋊D53C2414yes—
887C2×C22⋊D53C2414yes—
888C2×C22⋊D53C2412yes—
889C2×C22⋊D53C2414yes—
890C2×C22⋊D53C2414yes—
891C2×C22⋊D53C2414yes—
892C2×C22⋊D53C2414yes—
893C2×C22⋊D53C2414yes—
894C2×C22⋊D53C2414yes—
895C2×C22⋊D53C2412yes—
896C2×C22⋊D53C2414yes—
897C2×C22⋊D53C2412yes—
898C22×Dic53C2411yescharacteristic
899C22×Dic53C2412yes—
900C22×Dic53C2412yes—
901C22×Dic53C2414yes—
902C22×Dic53C2411yescharacteristic
903C22×Dic53C2412yes—
904C22×Dic53C2414yes—
905C22×Dic53C2414yes—
906C22×Dic53C2411yescharacteristic
907#11719949—24no—
908#11719949—44no—
909#11719949—44no—
910Q8×D53—44no—
911#11719947—216no—
912#11719947—28no—
913#11719947—24no—
914#11719947—44no—
915#11719947—48no—
916#11719947—48no—
917#11719947—48no—
918#11719947—44no—
919D4×D53—28no—
920D4×D53—44no—
921D4×D53—44no—
922D4×D53—44no—
923D4×D53—44no—
924D4×D53—44no—
925D4×D53—44no—
926D4×D53—48no—
927D4×D53—48no—
928D4×D53—48no—
929D4×D53—48no—
930D4×D53—48no—
931D4×D53—48no—
932D4×D53—48no—
933D4×D53—48no—
934#11719945—28no—
935#11719945—28no—
936#11719945—48no—
937#11719945—44no—
938#11719945—44no—
939#11719945—48no—
940#11719945—48no—
941#11719945—48no—
942#11719945—44no—
943#11719945—44no—
944#11719945—44no—
945#11719945—44no—
946#11719945—44no—
947#11719945—44no—
948#11719945—44no—
949C2×D212—42no—
950C2×D212—44no—
951C2×D212—44no—
952C2×D212—44no—
953C2×D212—48no—
954C2×D212C2411yescharacteristic
955C2×D212C2412yes—
956C2×D212C2412yes—
957C2×D212C2412yes—
958C2×D212C2411yescharacteristic
959C2×D212C2412yes—
960C2×D212C2411yescharacteristic
961C2×D212C2412yes—
962C2×D212C2412yes—
963C2×D212C2414yes—
964C2×D212C2412yes—
965C2×D212C2412yes—
966C2×D212C2414yes—
967C2×D212C2414yes—
968C2×D212C2412yes—
969C2×D212C2414yes—
970C2×D212C2414yes—
971C2×D212C2412yes—
972C2×D212C2414yes—
973C2×C4×D53—24no—
974C2×C4×D53—24no—
975C2×C4×D53—48no—
976C2×C4×D53—42no—
977C2×C4×D53—44no—
978C2×C4×D53C2411yescharacteristic
979C2×C4×D53C2411yescharacteristic
980C2×C4×D53C2411yescharacteristic
981C2×C4×D53C2411yescharacteristic
982C2×C4×D53C2411yescharacteristic
983C2×C4×D53C2411yescharacteristic
984C2×C4×D53C2411yescharacteristic
985C2×C4×D53C2411yescharacteristic
986C2×C4×D53C2411yescharacteristic
987C2×C4×D53C2412yes—
988C2×C4×D53C2412yes—
989C2×C4×D53C2412yes—
990C2×C4×D53C2414yes—
991C2×C4×D53C2412yes—
992C2×C4×D53C2412yes—
993C2×C4×D53C2411yescharacteristic
994C2×C4×D53C2411yescharacteristic
995C2×C4×D53C2414yes—
996C2×C4×D53C2412yes—
997C2×C4×D53C2414yes—
998C2×C4×D53C2412yes—
999C2×C4×D53C2414yes—
1000C2×C4×D53C2414yes—
1001C2×C4×D53C2414yes—
1002C2×C4×D53C2414yes—
1003C2×C4×D53C2411yescharacteristic
1004C2×Dic106—44no—
1005C2×Dic106C2412yes—
1006C2×Dic106C2412yes—
1007C2×Dic106C2414yes—
1008C2×Dic106C2411yescharacteristic
1009C2×Dic106C2412yes—
1010C2×Dic106C2412yes—
1011C2×Dic106C2412yes—
1012C2×Dic106C2412yes—
1013C2×Dic106C2412yes—
1014C4⋊C4×C53C2411yescharacteristic
1015C4⋊C4×C53C2411yescharacteristic
1016C4⋊C4×C53C2412yes—
1017C4⋊C4×C53C2411yescharacteristic
1018C4⋊C4×C53C2412yes—
1019C4⋊C4×C53C2414yes—
1020C4⋊C4×C53C2411yescharacteristic
1021C4⋊C4×C53C2412yes—
1022C4⋊C4×C53C2412yes—
1023C4⋊C4×C53C2412yes—
1024C4⋊C4×C53C2412yes—
1025C4⋊C4×C53C2414yes—
1026C4⋊C4×C53C2412yes—
1027C22⋊C4×C53C2412yes—
1028C22⋊C4×C53C2412yes—
1029C22⋊C4×C53C2412yes—
1030C22⋊C4×C53C2414yes—
1031C22⋊C4×C53C2414yes—
1032C22⋊C4×C53C2412yes—
1033C22⋊C4×C53C2414yes—
1034C22⋊C4×C53C2412yes—
1035C22⋊C4×C53C2414yes—
1036C22⋊C4×C53C2412yes—
1037C22⋊C4×C53C2414yes—
1038C22⋊C4×C53C2412yes—
1039C22⋊C4×C53C2412yes—
1040C22⋊C4×C53C2412yes—
1041C22⋊C4×C53C2414yes—
1042C22⋊C4×C53C2414yes—
1043C42×C53C2411yescharacteristic
1044C42×C53C2411yescharacteristic
1045C42×C53C2411yescharacteristic
1046C42×C53C2411yescharacteristic
1047C42×C53C2414yes—
1048C42×C53C2412yes—
1049C22⋊Dic53C2414yes—
1050C22⋊Dic53C2414yes—
1051C22⋊Dic53C2414yes—
1052C22⋊Dic53C2414yes—
1053C22⋊Dic53C2414yes—
1054C22⋊Dic53C2412yes—
1055C22⋊Dic53C2412yes—
1056C22⋊Dic53C2412yes—
1057C22⋊Dic53C2412yes—
1058C22⋊Dic53C2412yes—
1059C22⋊Dic53C2412yes—
1060C22⋊Dic53C2412yes—
1061C22⋊Dic53C2414yes—
1062C22⋊Dic53C2414yes—
1063#11719921C2412yes—
1064#11719921C2412yes—
1065#11719921C2414yes—
1066#11719921C2412yes—
1067#11719921C2414yes—
1068#11719921C2414yes—
1069#11719921C2414yes—
1070#11719921C2414yes—
1071#11719921C2414yes—
1072#11719921C2414yes—
1073#11719921C2414yes—
1074#11719921C2412yes—
1075#11719921C2414yes—
1076#11719921C2414yes—
1077#11719921C2412yes—
1078#11719921C2412yes—
1079#11719921C2412yes—
1080#11719921C2412yes—
1081#11719921C2412yes—
1082#11719921C2412yes—
1083#11719921C2414yes—
1084#11719921C2412yes—
1085#11719921C2412yes—
1086#11719921C2414yes—
1087#11719921C2412yes—
1088#11719921C2412yes—
1089#11719921C2412yes—
1090#11719921C2414yes—
1091#11719921C2412yes—
1092#11719921C2414yes—
1093#11719921C2412yes—
1094#11719921C2412yes—
1095C4⋊Dic53C2411yescharacteristic
1096C4⋊Dic53C2412yes—
1097C4⋊Dic53C2412yes—
1098C4⋊Dic53C2414yes—
1099C4⋊Dic53C2411yescharacteristic
1100C4⋊Dic53C2411yescharacteristic
1101C4⋊Dic53C2412yes—
1102C4⋊Dic53C2414yes—
1103C4⋊Dic53C2411yescharacteristic
1104C4⋊Dic53C2412yes—
1105C4⋊Dic53C2412yes—
1106#11719919C2412yes—
1107#11719919C2412yes—
1108#11719919C2414yes—
1109#11719919C2414yes—
1110#11719919C2414yes—
1111#11719919C2414yes—
1112#11719919C2412yes—
1113#11719919C2412yes—
1114#11719919C2414yes—
1115#11719919C2412yes—
1116#11719919C2414yes—
1117#11719919C2412yes—
1118#11719919C2412yes—
1119#11719919C2412yes—
1120#11719919C2412yes—
1121#11719919C2412yes—
1122#11719919C2412yes—
1123#11719919C2412yes—
1124#11719919C2412yes—
1125#11719919C2412yes—
1126C4×Dic53C2411yescharacteristic
1127C4×Dic53C2411yescharacteristic
1128C4×Dic53C2411yescharacteristic
1129C4×Dic53C2411yescharacteristic
1130C4×Dic53C2411yescharacteristic
1131C4×Dic53C2411yescharacteristic
1132C4×Dic53C2411yescharacteristic
1133C4×Dic53C2411yescharacteristic
1134C4×Dic53C2411yescharacteristic
1135C4×Dic53C2411yescharacteristic
1136C4×Dic53C2411yescharacteristic
1137C4×Dic53C2411yescharacteristic
1138C4×Dic53C2412yes—
1139C4×Dic53C2412yes—
1140C4×Dic53C2412yes—
1141C4×Dic53C2412yes—
1142C4×Dic53C2412yes—
1143C4×Dic53C2414yes—
1144C4×Dic53C2414yes—
1145C4×Dic53C2414yes—
1146C23×C53—24no—
1147C23×C53—42no—
1148C23×C53—42no—
1149C23×C53—44no—
1150C23×C53—44no—
1151C23×C53—44no—
1152C23×C53C2514yes—
1153C23×C53C2512yes—
1154C23×C53C2512yes—
1155C23×C53C2512yes—
1156C23×C53C2511yescharacteristic
1157C22×D53—22no—
1158C22×D53—24no—
1159C22×D53—22no—
1160C22×D53—28no—
1161C22×D53—41no—
1162C22×D53—42no—
1163C22×D53—44no—
1164C22×D53—42no—
1165C22×D53—44no—
1166C22×D53—44no—
1167C22×D53—44no—
1168C22×D53—44no—
1169C22×D53—44no—
1170C22×D53—44no—
1171C22×D53—44no—
1172C22×D53—44no—
1173C22×D53—44no—
1174C22×D53—44no—
1175C22×D53C2511yescharacteristic
1176C22×D53C2512yes—
1177C22×D53C2512yes—
1178C22×D53C2514yes—
1179C22×D53C2512yes—
1180C22×D53C2511yescharacteristic
1181Q8×C53—22no—
1182Q8×C53—42no—
1183D4×C53—24no—
1184D4×C53—28no—
1185D4×C53—24no—
1186D4×C53—22no—
1187D4×C53—24no—
1188D4×C53—22no—
1189D4×C53—22no—
1190D4×C53—44no—
1191D4×C53—44no—
1192D4×C53—44no—
1193D4×C53—44no—
1194D4×C53—42no—
1195D4×C53—44no—
1196D4×C53—42no—
1197C2×C4×C53—22no—
1198C2×C4×C53—22no—
1199C2×C4×C53—24no—
1200C2×C4×C53—24no—
1201C2×C4×C53—22no—
1202C2×C4×C53—24no—
1203C2×C4×C53—42no—
1204C2×C4×C53—44no—
1205C2×C4×C53—44no—
1206C2×C4×C53—42no—
1207C2×C4×C53—42no—
1208C2×C4×C53—44no—
1209C2×C4×C53C2512yes—
1210C2×C4×C53C2511yescharacteristic
1211C2×C4×C53C2512yes—
1212C2×C4×C53C2512yes—
1213C2×C4×C53C2514yes—
1214C2×C4×C53C2512yes—
1215C2×C4×C53C2511yescharacteristic
1216C2×C4×C53C2511yescharacteristic
1217C2×C4×C53C2512yes—
1218C2×C4×C53C2511yescharacteristic
1219C2×C4×C53C2511yescharacteristic
1220C2×C4×C53C2511yescharacteristic
1221C22⋊D53—28no—
1222C22⋊D53—24no—
1223C22⋊D53—24no—
1224C22⋊D53—24no—
1225C22⋊D53—24no—
1226C22⋊D53—24no—
1227C22⋊D53—24no—
1228C22⋊D53—24no—
1229C22⋊D53—24no—
1230C22⋊D53—28no—
1231C22⋊D53—28no—
1232C22⋊D53—24no—
1233C22⋊D53—24no—
1234C22⋊D53—24no—
1235C22⋊D53—42no—
1236C22⋊D53—42no—
1237C22⋊D53—42no—
1238C22⋊D53—42no—
1239C22⋊D53—44no—
1240C22⋊D53—44no—
1241C22⋊D53—44no—
1242C22⋊D53—44no—
1243C22⋊D53—44no—
1244C22⋊D53—42no—
1245C22⋊D53—42no—
1246C22⋊D53—44no—
1247C22⋊D53—44no—
1248C22⋊D53—44no—
1249C22⋊D53—44no—
1250C22⋊D53—44no—
1251C22⋊D53—44no—
1252C22⋊D53—44no—
1253C2×Dic53—22no—
1254C2×Dic53—28no—
1255C2×Dic53—24no—
1256C2×Dic53—24no—
1257C2×Dic53—42no—
1258C2×Dic53—41no—
1259C2×Dic53—44no—
1260C2×Dic53—44no—
1261C2×Dic53H(5,𝔽2)14yescomplemented
1262C2×Dic53C2511yescharacteristic
1263C2×Dic53C2512yes—
1264C2×Dic53C2514yes—
1265C2×Dic53C2512yes—
1266C2×Dic53C2511yescharacteristic
1267C2×Dic53C2512yes—
1268C2×Dic53C2512yes—
1269C2×Dic53C2512yes—
1270C2×Dic53C2511yescharacteristic
1271C2×Dic53C2511yescharacteristic
1272C2×Dic53C2511yescharacteristic
1273C2×Dic53C2511yescharacteristic
1274D212—24no—
1275D212—24no—
1276D212—24no—
1277D212—22no—
1278D212—24no—
1279D212—22no—
1280D212—22no—
1281D212—24no—
1282D212—44no—
1283D212—44no—
1284D212—42no—
1285D212—42no—
1286D212—42no—
1287D212—44no—
1288D212—42no—
1289D212—44no—
1290D212—44no—
1291D212—44no—
1292D212—42no—
1293C4×D53—22no—
1294C4×D53—22no—
1295C4×D53—24no—
1296C4×D53—24no—
1297C4×D53—22no—
1298C4×D53—22no—
1299C4×D53—24no—
1300C4×D53—22no—
1301C4×D53—22no—
1302C4×D53—22no—
1303C4×D53—22no—
1304C4×D53—22no—
1305C4×D53—28no—
1306C4×D53—24no—
1307C4×D53—24no—
1308C4×D53—41no—
1309C4×D53—41no—
1310C4×D53—42no—
1311C4×D53—42no—
1312C4×D53—44no—
1313C4×D53—44no—
1314C4×D53—44no—
1315C4×D53—44no—
1316C4×D53—44no—
1317C4×D53—44no—
1318C4×D53H(5,𝔽2)14yescomplemented
1319Dic106—22no—
1320Dic106—24no—
1321Dic106—24no—
1322Dic106—24no—
1323Dic106—28no—
1324Dic106—42no—
1325Dic106—42no—
1326Dic106—42no—
1327Dic106—42no—
1328#62834—531nomaximal, Sylow
1329C22×C53—21no—
1330C22×C53—21no—
1331C22×C53—24no—
1332C22×C53—22no—
1333C22×C53—22no—
1334C22×C53—22no—
1335C22×C53—24no—
1336C22×C53—22no—
1337C22×C53—22no—
1338C22×C53—22no—
1339C22×C53—22no—
1340C22×C53—24no—
1341C22×C53—22no—
1342C22×C53—22no—
1343C22×C53—84no—
1344C22×C53—164no—
1345C22×C53C2×H(5,𝔽2)12yes—
1346C22×C53C2611yescharacteristic
1347C2×D53—21no—
1348C2×D53—21no—
1349C2×D53—21no—
1350C2×D53—21no—
1351C2×D53—22no—
1352C2×D53—22no—
1353C2×D53—24no—
1354C2×D53—22no—
1355C2×D53—22no—
1356C2×D53—24no—
1357C2×D53—22no—
1358C2×D53—22no—
1359C2×D53—21no—
1360C2×D53—22no—
1361C2×D53—22no—
1362C2×D53—22no—
1363C2×D53—24no—
1364C2×D53—44no—
1365C2×D53—88no—
1366C2×D53—84no—
1367C2×D53—164no—
1368C2×D53—164no—
1369C2×D53—164no—
1370C2×D53C2×H(5,𝔽2)12yes—
1371C4×C53—22no—
1372C4×C53—22no—
1373C4×C53—22no—
1374C4×C53—24no—
1375C4×C53—21no—
1376C4×C53—21no—
1377C4×C53—21no—
1378C4×C53—22no—
1379C4×C53—22no—
1380C4×C53—21no—
1381C4×C53C2×H(5,𝔽2)12yes—
1382C4×C53#58512yes—
1383Dic53—22no—
1384Dic53—22no—
1385Dic53—24no—
1386Dic53—22no—
1387Dic53—22no—
1388Dic53—21no—
1389Dic53—21no—
1390Dic53—22no—
1391Dic53—21no—
1392Dic53C2×H(5,𝔽2)12yes—
1393Dic53C2×H(5,𝔽2)12yes—
1394Dic53C2×H(5,𝔽2)12yes—
1395#3558—534no—
1396#3558—534no—
1397#3549—531no—
1398#3549—531no—
1399#3548—531no—
1400#3548—531no—
1401#3546—532no—
1402#3546—532no—
1403#3546—534no—
1404#3537—532no—
1405#3537—532no—
1406#3519—532no—
1407#3519—531no—
1408#3519—531no—
1409#3519—532no—
1410#3519—531no—
1411#3519D5311yescharacteristic, complemented
1412#3511—531no—
1413#3511—531no—
1414#3511—532no—
1415#3508—532no—
1416#3508—532no—
1417#3506—532no—
1418#3506—532no—
1419#3498—531no—
1420#3498—532no—
1421#3498—531no—
1422#3496—532no—
1423#3496—532no—
1424#3488—534no—
1425#3488—532no—
1426#3488—532no—
1427#3444—531no—
1428C2×#532—531no—
1429C2×#532—531no—
1430C2×C53—22no—
1431C2×C53—44no—
1432C2×C53—42no—
1433C2×C53—42no—
1434C2×C53—42no—
1435C2×C53C22×H(5,𝔽2)11yescharacteristic
1436C2×C53C22×H(5,𝔽2)11yescharacteristic
1437C2×C53C2×#58511yescharacteristic
1438D53—22no—
1439D53—41no—
1440D53—42no—
1441D53—42no—
1442D53—44no—
1443D53—42no—
1444C2×H(5,𝔽2)—532no—
1445C2×H(5,𝔽2)—534no—
1446C2×H(5,𝔽2)—532no—
1447C22×#41—532no—
1448C22×#41—532no—
1449#562—534no—
1450#562—534no—
1451H(3,𝔽4)—534no—
1452H(3,𝔽4)—534no—
1453#560—534no—
1454#560—534no—
1455#560—534no—
1456#560—534no—
1457#559—534no—
1458#559—534no—
1459#559—534no—
1460#559—534no—
1461#556—534no—
1462#556—532no—
1463#556—532no—
1464#555—531no—
1465#555—532no—
1466#555—532no—
1467#555—531no—
1468#555—531no—
1469#555—532no—
1470#555—532no—
1471#555C2×D5311yescharacteristic, complemented
1472#554—531no—
1473#554—532no—
1474#554—531no—
1475#554—531no—
1476#554—532no—
1477#554C2×D5311yescharacteristic, complemented
1478#553—532no—
1479#553—532no—
1480#553—534no—
1481#553—532no—
1482#553—532no—
1483#553—532no—
1484#553—532no—
1485#553—534no—
1486#553—532no—
1487#553—532no—
1488#553—532no—
1489#553—532no—
1490#553C2×D5312yescomplemented
1491#553C2×D5312yescomplemented
1492#550—532no—
1493#550—532no—
1494#550—531no—
1495#550—534no—
1496#550—534no—
1497#550—532no—
1498#550—534no—
1499#550—531no—
1500#550—534no—
1501#550—534no—
1502#550—532no—
1503#550—531no—
1504#550C2×D5311yescharacteristic, complemented
1505#548—534no—
1506#548—534no—
1507#548—534no—
1508#548—534no—
1509#547—532no—
1510#547—534no—
1511#547—532no—
1512#547—532no—
1513#547—532no—
1514#547—532no—
1515#547—532no—
1516#546—534no—
1517#546—532no—
1518#546—534no—
1519#546—534no—
1520#546—534no—
1521#546—534no—
1522#546—534no—
1523#546—534no—
1524#546—534no—
1525#546—534no—
1526#546—532no—
1527#546—534no—
1528#546—532no—
1529#546—534no—
1530#546—534no—
1531#546—534no—
1532#546—534no—
1533#546—534no—
1534#546—534no—
1535#546—534no—
1536#546C2×D5314yescomplemented
1537#546C2×D5312yescomplemented
1538D42—534no—
1539D42—534no—
1540D42—532no—
1541D42—532no—
1542D42—532no—
1543D42—532no—
1544D42—532no—
1545D42—532no—
1546D42—531no—
1547D42—534no—
1548D42—534no—
1549D42—532no—
1550D42—532no—
1551D42—532no—
1552D42—532no—
1553D42—532no—
1554D42—534no—
1555D42—534no—
1556D42—534no—
1557D42—534no—
1558D42—534no—
1559D42—532no—
1560D42—532no—
1561D42—531no—
1562D42—531no—
1563D42C2×D5312yescomplemented
1564D42C2×D5311yescharacteristic, complemented
1565#542—534no—
1566#542—534no—
1567#542—534no—
1568#542—534no—
1569#540—532no—
1570#540—532no—
1571#540—532no—
1572#540—532no—
1573#540—532no—
1574#540—532no—
1575#540—532no—
1576#540C2×D5312yescomplemented
1577#538—534no—
1578#538—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#538C2×D5314yescomplemented
1589#537—532no—
1590#537—532no—
1591#537—532no—
1592#537—534no—
1593#537—534no—
1594#537—532no—
1595#537—534no—
1596#537—532no—
1597#537—532no—
1598#535—532no—
1599#535—532no—
1600#535—534no—
1601#535—532no—
1602#535—532no—
1603#535—532no—
1604#535—532no—
1605#535—534no—
1606#535—534no—
1607#535—532no—
1608#535—532no—
1609#535—534no—
1610#535—534no—
1611#535—534no—
1612#535—534no—
1613#535—532no—
1614#535—532no—
1615#534—534no—
1616#534—534no—
1617#534—534no—
1618#534—534no—
1619#533—531no—
1620#533—532no—
1621#533—531no—
1622#533—531no—
1623#533—532no—
1624#532—532no—
1625#532—531no—
1626#532—531no—
1627#532—532no—
1628#532—531no—
1629#532—532no—
1630#532—532no—
1631#532—531no—
1632#532—532no—
1633#532—532no—
1634#532—532no—
1635#532—531no—
1636#532—531no—
1637#532—532no—
1638#532—531no—
1639#532—531no—
1640#532—531no—
1641#532—531no—
1642#532—532no—
1643#532—532no—
1644#532—532no—
1645#532—531no—
1646#532—531no—
1647#532—532no—
1648#532—531no—
1649#532—532no—
1650#532—532no—
1651#532—531no—
1652#532C2×D5311yescharacteristic, complemented
1653C2×C4⋊Q8—531no—
1654C2×C4⋊Q8—531no—
1655C2×#127—531no—
1656C2×#127—532no—
1657C2×#127—531no—
1658C2×#127—532no—
1659#529—532no—
1660#529—532no—
1661#529—531no—
1662#529—531no—
1663#529—532no—
1664#529—532no—
1665#529—531no—
1666#529C2×D5311yescharacteristic, complemented
1667C2×#124—532no—
1668C2×#124—532no—
1669#525—532no—
1670#525—532no—
1671#525—534no—
1672#525—531no—
1673#525—532no—
1674#525—531no—
1675#525—532no—
1676#525—532no—
1677#525—534no—
1678#525C2×D5312yescomplemented
1679C2×#121—531no—
1680C2×#121—532no—
1681C2×#121—532no—
1682C2×#121—532no—
1683C2×#121—534no—
1684C2×#121—532no—
1685C2×#121—532no—
1686C2×#121—531no—
1687C2×#121—532no—
1688C2×#121—534no—
1689C2×#121C2×D5312yescomplemented
1690#520—534no—
1691#520—532no—
1692#520—532no—
1693#518—532no—
1694#518—532no—
1695#518—532no—
1696#518C2×D5312yescomplemented
1697C4×#41—531no—
1698C4×#41—531no—
1699C4×#41—532no—
1700C4×#41—532no—
1701C2×C4×D4—532no—
1702C2×C4×D4—532no—
1703C2×C4×D4—532no—
1704C2×C4×D4—531no—
1705C2×C4×D4C2×D5311yescharacteristic, complemented
1706C22×C42—531no—
1707C53#6283411yescharacteristic, complemented, Sylow
1708H(5,𝔽2)—2128no—
1709H(5,𝔽2)—21216no—
1710H(5,𝔽2)—2128no—
1711C2×#41—531no—
1712C2×#41—532no—
1713C2×#41—532no—
1714C2×#41—532no—
1715C2×#41—531no—
1716C2×#41—534no—
1717C2×#41—534no—
1718C2×#41—532no—
1719C2×#41—532no—
1720C2×#41—534no—
1721C2×#41—534no—
1722C2×#41—532no—
1723C2×#41—532no—
1724C2×#41—532no—
1725C2×#41—534no—
1726C2×#41—532no—
1727C2×#41—532no—
1728C2×#41—532no—
1729C2×#41—532no—
1730C2×#41—532no—
1731C2×#41—532no—
1732C2×#41—532no—
1733C2×#41—534no—
1734C2×#41—532no—
1735C2×#41—534no—
1736C2×#41—534no—
1737C2×#41—2128no—
1738C2×#41—2128no—
1739C2×#41C22×D5312yes—
1740C2×#41C22×D5312yes—
1741C22×Q8—532no—
1742C22×Q8—532no—
1743C22×D4—532no—
1744C22×D4—532no—
1745C22×D4—534no—
1746C22×D4—534no—
1747C22×D4—534no—
1748C22×D4—532no—
1749C22×D4—534no—
1750C22×D4—534no—
1751C22×D4—532no—
1752C22×D4—532no—
1753C22×D4—532no—
1754C22×D4—532no—
1755C22×D4—534no—
1756C22×D4—534no—
1757C22×D4—534no—
1758C22×D4—534no—
1759C22×D4—534no—
1760C22×D4—534no—
1761C22×D4—532no—
1762C22×D4—532no—
1763C22×D4—532no—
1764C22×D4—534no—
1765C22×D4—534no—
1766C22×D4—531no—
1767C22×D4—532no—
1768C22×D4—532no—
1769C22×D4—534no—
1770C22×D4—532no—
1771C22×D4C22×D5311yescharacteristic
1772C22×D4C22×D5312yes—
1773C22×D4C22×D5314yes—
1774C22×D4C22×D5312yes—
1775C23×C4—531no—
1776C23×C4—531no—
1777C23×C4—534no—
1778C23×C4—532no—
1779C23×C4—531no—
1780C23×C4C22×D5312yes—
1781C4⋊Q8—532no—
1782C4⋊Q8—531no—
1783C4⋊Q8—532no—
1784C4⋊Q8—531no—
1785C4⋊Q8—531no—
1786C4⋊Q8—532no—
1787C4⋊Q8—532no—
1788C4⋊Q8—532no—
1789C4⋊Q8—531no—
1790C4⋊Q8—531no—
1791C4⋊Q8—531no—
1792C4⋊Q8—531no—
1793C4⋊Q8—531no—
1794C4⋊Q8C22×D5311yescharacteristic
1795#127—531no—
1796#127—532no—
1797#127—531no—
1798#127—532no—
1799#127—532no—
1800#127—532no—
1801#127—531no—
1802#127—531no—
1803#127—532no—
1804#127—534no—
1805#127—534no—
1806#127—534no—
1807#127—534no—
1808#127—532no—
1809#127—532no—
1810#127—531no—
1811#127—534no—
1812#127—534no—
1813#127—534no—
1814#127—531no—
1815#127—532no—
1816#127—534no—
1817#127C22×D5311yescharacteristic
1818#127C22×D5312yes—
1819#126—532no—
1820#126—534no—
1821#126—534no—
1822#126—534no—
1823#126—532no—
1824#126—534no—
1825#126—534no—
1826#126—534no—
1827#126—532no—
1828#126—534no—
1829#126C22×D5312yes—
1830#126C22×D5314yes—
1831#125—532no—
1832#125—532no—
1833#125—532no—
1834#125—532no—
1835#125—531no—
1836#125—532no—
1837#125C22×D5311yescharacteristic
1838#125C22×D5312yes—
1839#124—532no—
1840#124—534no—
1841#124—532no—
1842#124—534no—
1843#124—534no—
1844#124—534no—
1845#124—532no—
1846#124—532no—
1847#124—532no—
1848#124—532no—
1849#124—534no—
1850#124—532no—
1851#124—532no—
1852#124—532no—
1853#124—532no—
1854#124—532no—
1855#124—532no—
1856#124—534no—
1857#124—534no—
1858#124—534no—
1859#124—534no—
1860#124—534no—
1861#124—534no—
1862#124—534no—
1863#124—534no—
1864#124—534no—
1865#124—534no—
1866#124—532no—
1867#124—531no—
1868#124—534no—
1869#124—534no—
1870#124C22×D5312yes—
1871#124C22×D5311yescharacteristic
1872#124C22×D5314yes—
1873#123—534no—
1874#123—534no—
1875#123—534no—
1876#123—532no—
1877#123—534no—
1878#123—534no—
1879#123—534no—
1880#123—534no—
1881#123—534no—
1882#123—532no—
1883#123—532no—
1884#123—534no—
1885#123—534no—
1886#123—534no—
1887#123—534no—
1888#123—534no—
1889#123—534no—
1890#123—532no—
1891#123—532no—
1892#123—534no—
1893#123—534no—
1894#123—534no—
1895#123—534no—
1896#123—534no—
1897#123—534no—
1898#123—534no—
1899#123C22×D5312yes—
1900#123C22×D5314yes—
1901#123C22×D5314yes—
1902#123C22×D5314yes—
1903C22⋊Q8—531no—
1904C22⋊Q8—532no—
1905C22⋊Q8—534no—
1906C22⋊Q8—531no—
1907C22⋊Q8—532no—
1908C22⋊Q8—534no—
1909C22⋊Q8—532no—
1910C22⋊Q8—532no—
1911C22⋊Q8—531no—
1912C22⋊Q8—532no—
1913C22⋊Q8—534no—
1914C22⋊Q8—532no—
1915C22⋊Q8—534no—
1916C22⋊Q8—534no—
1917C22⋊Q8—534no—
1918C22⋊Q8—534no—
1919C22⋊Q8—534no—
1920C22⋊Q8—532no—
1921C22⋊Q8—534no—
1922C22⋊Q8—534no—
1923C22⋊Q8—534no—
1924C22⋊Q8—534no—
1925C22⋊Q8—534no—
1926C22⋊Q8C22×D5311yescharacteristic
1927C22⋊Q8C22×D5312yes—
1928C22⋊Q8C22×D5314yes—
1929#121—532no—
1930#121—534no—
1931#121—532no—
1932#121—531no—
1933#121—532no—
1934#121—531no—
1935#121—534no—
1936#121—531no—
1937#121—531no—
1938#121—532no—
1939#121—534no—
1940#121—534no—
1941#121—534no—
1942#121—532no—
1943#121—534no—
1944#121—532no—
1945#121—534no—
1946#121—532no—
1947#121—531no—
1948#121—532no—
1949#121—534no—
1950#121—532no—
1951#121—532no—
1952#121—534no—
1953#121—534no—
1954#121—534no—
1955#121—534no—
1956#121—534no—
1957#121—534no—
1958#121—534no—
1959#121—534no—
1960#121—534no—
1961#121—534no—
1962#121—531no—
1963#121—532no—
1964#121—532no—
1965#121—534no—
1966#121—532no—
1967#121—532no—
1968#121—534no—
1969#121—534no—
1970#121—532no—
1971#121—532no—
1972#121—532no—
1973#121—534no—
1974#121—534no—
1975#121—534no—
1976#121—534no—
1977#121—532no—
1978#121—532no—
1979#121—532no—
1980#121—531no—
1981#121—531no—
1982#121—531no—
1983#121—531no—
1984#121—532no—
1985#121—534no—
1986#121—532no—
1987#121—532no—
1988#121—531no—
1989#121—532no—
1990#121—532no—
1991#121—532no—
1992#121—534no—
1993#121—534no—
1994#121—534no—
1995#121—534no—
1996#121—532no—
1997#121—532no—
1998#121—532no—
1999#121—532no—
2000#121—532no—
2001#121—532no—
2002#121—532no—
2003#121—534no—
2004#121—532no—
2005#121—532no—
2006#121—534no—
2007#121—534no—
2008#121—534no—
2009#121—534no—
2010#121—534no—
2011#121—534no—
2012#121—534no—
2013#121—534no—
2014#121—534no—
2015#121—532no—
2016#121—532no—
2017#121—534no—
2018#121—534no—
2019#121—534no—
2020#121—534no—
2021#121—534no—
2022#121—534no—
2023#121—534no—
2024#121—534no—
2025#121—534no—
2026#121C22×D5311yescharacteristic
2027#121C22×D5312yes—
2028#121C22×D5312yes—
2029#121C22×D5314yes—
2030#121C22×D5314yes—
2031#121C22×D5312yes—
2032#121C22×D5312yes—
2033#121C22×D5314yes—
2034#121C22×D5312yes—
2035#121C22×D5312yes—
2036#121C22×D5312yes—
2037#121C22×D5314yes—
2038#121C22×D5314yes—
2039#120—534no—
2040#120—534no—
2041#120—534no—
2042#120—534no—
2043#120—534no—
2044#120—532no—
2045#120—534no—
2046#120—534no—
2047#120—534no—
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—532no—
2057#120—534no—
2058#120—534no—
2059#120—534no—
2060#120—534no—
2061#120—534no—
2062#120—534no—
2063#120—534no—
2064#120—534no—
2065#120—534no—
2066#120—534no—
2067#120—534no—
2068#120—534no—
2069#120—534no—
2070#120C22×D5314yes—
2071#120C22×D5314yes—
2072#120C22×D5314yes—
2073C4×Q8—531no—
2074C4×Q8—532no—
2075C4×Q8—531no—
2076C4×Q8—532no—
2077C4×Q8—532no—
2078C4×Q8—534no—
2079C4×Q8—534no—
2080C4×Q8—532no—
2081C4×Q8—531no—
2082C4×Q8—534no—
2083C4×Q8—534no—
2084C4×Q8C22×D5311yescharacteristic
2085C4×D4—532no—
2086C4×D4—532no—
2087C4×D4—532no—
2088C4×D4—531no—
2089C4×D4—532no—
2090C4×D4—532no—
2091C4×D4—534no—
2092C4×D4—534no—
2093C4×D4—532no—
2094C4×D4—532no—
2095C4×D4—532no—
2096C4×D4—532no—
2097C4×D4—532no—
2098C4×D4—532no—
2099C4×D4—532no—
2100C4×D4—534no—
2101C4×D4—532no—
2102C4×D4—532no—
2103C4×D4—532no—
2104C4×D4—532no—
2105C4×D4—534no—
2106C4×D4—534no—
2107C4×D4—534no—
2108C4×D4—534no—
2109C4×D4—534no—
2110C4×D4—534no—
2111C4×D4—532no—
2112C4×D4—532no—
2113C4×D4—532no—
2114C4×D4—532no—
2115C4×D4—532no—
2116C4×D4—531no—
2117C4×D4—534no—
2118C4×D4—534no—
2119C4×D4—532no—
2120C4×D4—532no—
2121C4×D4—534no—
2122C4×D4—534no—
2123C4×D4—534no—
2124C4×D4—532no—
2125C4×D4—532no—
2126C4×D4—532no—
2127C4×D4—532no—
2128C4×D4—532no—
2129C4×D4—532no—
2130C4×D4—532no—
2131C4×D4—534no—
2132C4×D4—534no—
2133C4×D4—534no—
2134C4×D4—534no—
2135C4×D4—534no—
2136C4×D4—534no—
2137C4×D4—532no—
2138C4×D4—531no—
2139C4×D4—531no—
2140C4×D4—532no—
2141C4×D4—531no—
2142C4×D4—531no—
2143C4×D4—532no—
2144C4×D4—532no—
2145C4×D4—532no—
2146C4×D4—531no—
2147C4×D4—532no—
2148C4×D4—532no—
2149C4×D4—534no—
2150C4×D4C22×D5312yes—
2151C4×D4C22×D5312yes—
2152C4×D4C22×D5311yescharacteristic
2153C4×D4C22×D5311yescharacteristic
2154C4×D4C22×D5312yes—
2155C4×D4C22×D5311yescharacteristic
2156C4×D4C22×D5311yescharacteristic
2157C4×D4C22×D5312yes—
2158C4×D4C22×D5312yes—
2159C4×D4C22×D5311yescharacteristic
2160C4×D4C22×D5314yes—
2161C4×D4C22×D5314yes—
2162C4×D4C22×D5312yes—
2163C4×D4C22×D5312yes—
2164C4×D4C22×D5314yes—
2165#117—532no—
2166#117—532no—
2167#117—531no—
2168#117—531no—
2169#117—532no—
2170#117—532no—
2171#117—532no—
2172#117—532no—
2173#117—532no—
2174#117—532no—
2175#117—532no—
2176#117—532no—
2177#117—532no—
2178#117—534no—
2179#117—532no—
2180#117—532no—
2181#117—534no—
2182#117C22×D5312yes—
2183#117C22×D5312yes—
2184#117C22×D5312yes—
2185C2×C4⋊C4—532no—
2186C2×C4⋊C4—531no—
2187C2×C4⋊C4—534no—
2188C2×C4⋊C4—532no—
2189C2×C4⋊C4—532no—
2190C2×C4⋊C4—532no—
2191C2×C4⋊C4—534no—
2192C2×C4⋊C4—532no—
2193C2×C4⋊C4—532no—
2194C2×C4⋊C4C22×D5311yescharacteristic
2195C2×C4⋊C4C22×D5312yes—
2196C2×C22⋊C4—532no—
2197C2×C22⋊C4—532no—
2198C2×C22⋊C4—532no—
2199C2×C22⋊C4—534no—
2200C2×C22⋊C4—534no—
2201C2×C22⋊C4—534no—
2202C2×C22⋊C4—534no—
2203C2×C22⋊C4—534no—
2204C2×C22⋊C4—534no—
2205C2×C22⋊C4—534no—
2206C2×C22⋊C4—534no—
2207C2×C22⋊C4C22×D5312yes—
2208C2×C22⋊C4C22×D5314yes—
2209C2×C22⋊C4C22×D5314yes—
2210C2×C42—531no—
2211C2×C42—532no—
2212C2×C42—531no—
2213C2×C42—531no—
2214C2×C42—531no—
2215C2×C42—531no—
2216C2×C42—532no—
2217C2×C42—531no—
2218C2×C42—531no—
2219C2×C42—531no—
2220C2×C42—531no—
2221C2×C42—531no—
2222C2×C42—531no—
2223C2×C42C22×D5311yescharacteristic
2224C24—531no—
2225C24—534no—
2226C24—532no—
2227C24—534no—
2228C24—534no—
2229C24—534no—
2230C24C23×D5312yes—
2231C24C23×D5314yes—
2232#41—44no—
2233#41—44no—
2234#41—1068no—
2235#41—1068no—
2236#41—10616no—
2237#41—1068no—
2238#41—1064no—
2239#41—1064no—
2240#41—2124no—
2241#41—2124no—
2242#41—2124no—
2243#41—2124no—
2244#41—2124no—
2245#41—2124no—
2246#41—2124no—
2247#41—2124no—
2248#41—2124no—
2249#41—2128no—
2250#41—2128no—
2251#41—2128no—
2252#41—2128no—
2253#41—2124no—
2254#41—2124no—
2255#41—2124no—
2256#41—2128no—
2257#41—2128no—
2258#41—2128no—
2259#41—2124no—
2260C2×Q8—532no—
2261C2×Q8—531no—
2262C2×Q8—532no—
2263C2×Q8—534no—
2264C2×Q8—532no—
2265C2×Q8—532no—
2266C2×Q8—532no—
2267C2×Q8—532no—
2268C2×Q8—532no—
2269C2×Q8—2124no—
2270C2×Q8—2124no—
2271C2×Q8C23×D5311yescharacteristic
2272C2×Q8C23×D5312yes—
2273C2×D4—42no—
2274C2×D4—44no—
2275C2×D4—44no—
2276C2×D4—48no—
2277C2×D4—532no—
2278C2×D4—532no—
2279C2×D4—534no—
2280C2×D4—532no—
2281C2×D4—532no—
2282C2×D4—532no—
2283C2×D4—532no—
2284C2×D4—532no—
2285C2×D4—534no—
2286C2×D4—532no—
2287C2×D4—532no—
2288C2×D4—532no—
2289C2×D4—534no—
2290C2×D4—532no—
2291C2×D4—532no—
2292C2×D4—532no—
2293C2×D4—534no—
2294C2×D4—534no—
2295C2×D4—534no—
2296C2×D4—532no—
2297C2×D4—532no—
2298C2×D4—534no—
2299C2×D4—534no—
2300C2×D4—534no—
2301C2×D4—534no—
2302C2×D4—534no—
2303C2×D4—532no—
2304C2×D4—532no—
2305C2×D4—534no—
2306C2×D4—534no—
2307C2×D4—534no—
2308C2×D4—534no—
2309C2×D4—532no—
2310C2×D4—531no—
2311C2×D4—531no—
2312C2×D4—532no—
2313C2×D4—532no—
2314C2×D4—532no—
2315C2×D4—531no—
2316C2×D4—532no—
2317C2×D4—532no—
2318C2×D4—532no—
2319C2×D4—534no—
2320C2×D4—532no—
2321C2×D4—534no—
2322C2×D4—534no—
2323C2×D4—532no—
2324C2×D4—534no—
2325C2×D4—532no—
2326C2×D4—534no—
2327C2×D4—534no—
2328C2×D4—1068no—
2329C2×D4—1068no—
2330C2×D4—2122no—
2331C2×D4—2124no—
2332C2×D4—2124no—
2333C2×D4—2124no—
2334C2×D4—2128no—
2335C2×D4—2124no—
2336C2×D4—2124no—
2337C2×D4—2124no—
2338C2×D4—2124no—
2339C2×D4—2124no—
2340C2×D4—2124no—
2341C2×D4—2128no—
2342C2×D4—2128no—
2343C2×D4—2128no—
2344C2×D4—2124no—
2345C2×D4—2128no—
2346C2×D4—2128no—
2347C2×D4—2128no—
2348C2×D4—2128no—
2349C2×D4—2128no—
2350C2×D4—2128no—
2351C2×D4—2128no—
2352C2×D4—2128no—
2353C2×D4—2128no—
2354C2×D4—2124no—
2355C2×D4—2128no—
2356C2×D4C23×D5312yes—
2357C2×D4C23×D5311yescharacteristic
2358C2×D4C23×D5314yes—
2359C2×D4C23×D5312yes—
2360C2×D4C23×D5311yescharacteristic
2361C2×D4C23×D5312yes—
2362C2×D4C23×D5311yescharacteristic
2363C2×D4C23×D5312yes—
2364C2×D4C23×D5314yes—
2365C2×D4C23×D5312yes—
2366C2×D4C23×D5314yes—
2367C2×D4C23×D5314yes—
2368C2×D4C23×D5314yes—
2369C2×D4C23×D5314yes—
2370C22×C4—44no—
2371C22×C4—531no—
2372C22×C4—531no—
2373C22×C4—531no—
2374C22×C4—532no—
2375C22×C4—532no—
2376C22×C4—534no—
2377C22×C4—531no—
2378C22×C4—532no—
2379C22×C4—534no—
2380C22×C4—534no—
2381C22×C4—531no—
2382C22×C4—531no—
2383C22×C4—531no—
2384C22×C4—531no—
2385C22×C4—531no—
2386C22×C4—531no—
2387C22×C4—531no—
2388C22×C4—531no—
2389C22×C4—531no—
2390C22×C4—532no—
2391C22×C4—532no—
2392C22×C4—532no—
2393C22×C4—534no—
2394C22×C4—532no—
2395C22×C4—532no—
2396C22×C4—531no—
2397C22×C4—531no—
2398C22×C4—534no—
2399C22×C4—532no—
2400C22×C4—534no—
2401C22×C4—532no—
2402C22×C4—534no—
2403C22×C4—534no—
2404C22×C4—534no—
2405C22×C4—534no—
2406C22×C4—1064no—
2407C22×C4—1064no—
2408C22×C4—2122no—
2409C22×C4—2124no—
2410C22×C4—2128no—
2411C22×C4C23×D5311yescharacteristic
2412C22×C4C23×D5311yescharacteristic
2413C22×C4C23×D5311yescharacteristic
2414C22×C4C23×D5312yes—
2415C22×C4C23×D5312yes—
2416C22×C4C23×D5312yes—
2417C22×C4C23×D5312yes—
2418C22×C4C23×D5312yes—
2419C22×C4C23×D5314yes—
2420C22×C4C23×D5312yes—
2421C22×C4C23×D5314yes—
2422C22×C4C23×D5314yes—
2423C4⋊C4—532no—
2424C4⋊C4—531no—
2425C4⋊C4—532no—
2426C4⋊C4—532no—
2427C4⋊C4—532no—
2428C4⋊C4—531no—
2429C4⋊C4—531no—
2430C4⋊C4—532no—
2431C4⋊C4—532no—
2432C4⋊C4—534no—
2433C4⋊C4—532no—
2434C4⋊C4—534no—
2435C4⋊C4—532no—
2436C4⋊C4—534no—
2437C4⋊C4—534no—
2438C4⋊C4—534no—
2439C4⋊C4—534no—
2440C4⋊C4—534no—
2441C4⋊C4—534no—
2442C4⋊C4—532no—
2443C4⋊C4—531no—
2444C4⋊C4—532no—
2445C4⋊C4—532no—
2446C4⋊C4—532no—
2447C4⋊C4—532no—
2448C4⋊C4—532no—
2449C4⋊C4—532no—
2450C4⋊C4—532no—
2451C4⋊C4—532no—
2452C4⋊C4—532no—
2453C4⋊C4—532no—
2454C4⋊C4C23×D5311yescharacteristic
2455C4⋊C4C23×D5312yes—
2456C4⋊C4C23×D5312yes—
2457C4⋊C4C23×D5314yes—
2458C4⋊C4C23×D5311yescharacteristic
2459C4⋊C4C23×D5311yescharacteristic
2460C4⋊C4C23×D5314yes—
2461C4⋊C4C23×D5312yes—
2462C4⋊C4C23×D5311yescharacteristic
2463C4⋊C4C23×D5312yes—
2464C4⋊C4C23×D5312yes—
2465C4⋊C4C23×D5312yes—
2466C4⋊C4C23×D5312yes—
2467C22⋊C4—534no—
2468C22⋊C4—534no—
2469C22⋊C4—534no—
2470C22⋊C4—534no—
2471C22⋊C4—532no—
2472C22⋊C4—532no—
2473C22⋊C4—532no—
2474C22⋊C4—534no—
2475C22⋊C4—532no—
2476C22⋊C4—532no—
2477C22⋊C4—532no—
2478C22⋊C4—532no—
2479C22⋊C4—534no—
2480C22⋊C4—534no—
2481C22⋊C4—532no—
2482C22⋊C4—532no—
2483C22⋊C4—532no—
2484C22⋊C4—532no—
2485C22⋊C4—534no—
2486C22⋊C4—534no—
2487C22⋊C4—534no—
2488C22⋊C4—534no—
2489C22⋊C4—534no—
2490C22⋊C4—534no—
2491C22⋊C4—534no—
2492C22⋊C4—534no—
2493C22⋊C4—532no—
2494C22⋊C4—532no—
2495C22⋊C4—532no—
2496C22⋊C4—532no—
2497C22⋊C4—534no—
2498C22⋊C4—532no—
2499C22⋊C4—534no—
2500C22⋊C4—532no—
2501C22⋊C4—532no—
2502C22⋊C4—532no—
2503C22⋊C4—532no—
2504C22⋊C4—532no—
2505C22⋊C4—532no—
2506C22⋊C4—532no—
2507C22⋊C4—534no—
2508C22⋊C4—534no—
2509C22⋊C4—534no—
2510C22⋊C4—534no—
2511C22⋊C4—532no—
2512C22⋊C4—532no—
2513C22⋊C4C23×D5312yes—
2514C22⋊C4C23×D5312yes—
2515C22⋊C4C23×D5314yes—
2516C22⋊C4C23×D5312yes—
2517C22⋊C4C23×D5314yes—
2518C22⋊C4C23×D5312yes—
2519C22⋊C4C23×D5314yes—
2520C22⋊C4C23×D5314yes—
2521C22⋊C4C23×D5312yes—
2522C22⋊C4C23×D5314yes—
2523C22⋊C4C23×D5312yes—
2524C22⋊C4C23×D5312yes—
2525C22⋊C4C23×D5312yes—
2526C22⋊C4C23×D5312yes—
2527C22⋊C4C23×D5314yes—
2528C22⋊C4C23×D5314yes—
2529C42—531no—
2530C42—531no—
2531C42—531no—
2532C42—531no—
2533C42—531no—
2534C42—531no—
2535C42—531no—
2536C42—531no—
2537C42—531no—
2538C42—531no—
2539C42—531no—
2540C42—531no—
2541C42—532no—
2542C42—532no—
2543C42—532no—
2544C42—532no—
2545C42—532no—
2546C42—534no—
2547C42—534no—
2548C42—534no—
2549C42C23×D5311yescharacteristic
2550C42C23×D5311yescharacteristic
2551C42C23×D5311yescharacteristic
2552C42C23×D5311yescharacteristic
2553C42C23×D5312yes—
2554C42C23×D5314yes—
2555C23—24no—
2556C23—42no—
2557C23—42no—
2558C23—44no—
2559C23—44no—
2560C23—44no—
2561C23—531no—
2562C23—532no—
2563C23—534no—
2564C23—532no—
2565C23—532no—
2566C23—531no—
2567C23—1068no—
2568C23—1062no—
2569C23—1064no—
2570C23—1062no—
2571C23—2124no—
2572C23—2124no—
2573C23—2124no—
2574C23—2124no—
2575C23—2124no—
2576C23—2124no—
2577C23—2124no—
2578C23—2124no—
2579C23—2124no—
2580C23—2122no—
2581C23—2124no—
2582C23—2122no—
2583C23—2124no—
2584C23—2121no—
2585C23C24×D5312yes—
2586C23C24×D5312yes—
2587C23C24×D5314yes—
2588C23C24×D5312yes—
2589C23C24×D5311yescharacteristic
2590Q8—22no—
2591Q8—42no—
2592Q8—1064no—
2593Q8—1064no—
2594Q8—1068no—
2595Q8—1064no—
2596Q8—1062no—
2597Q8—2122no—
2598Q8—2122no—
2599Q8—2122no—
2600Q8—2122no—
2601D4—24no—
2602D4—28no—
2603D4—22no—
2604D4—24no—
2605D4—22no—
2606D4—22no—
2607D4—24no—
2608D4—44no—
2609D4—44no—
2610D4—44no—
2611D4—42no—
2612D4—44no—
2613D4—44no—
2614D4—42no—
2615D4—1064no—
2616D4—1064no—
2617D4—1064no—
2618D4—1064no—
2619D4—1064no—
2620D4—1064no—
2621D4—1068no—
2622D4—1064no—
2623D4—1064no—
2624D4—1064no—
2625D4—1064no—
2626D4—1068no—
2627D4—1064no—
2628D4—1064no—
2629D4—1064no—
2630D4—1064no—
2631D4—1068no—
2632D4—1064no—
2633D4—1062no—
2634D4—1062no—
2635D4—1064no—
2636D4—1062no—
2637D4—2122no—
2638D4—2124no—
2639D4—2124no—
2640D4—2124no—
2641D4—2124no—
2642D4—2124no—
2643D4—2122no—
2644D4—2122no—
2645D4—2122no—
2646D4—2124no—
2647D4—2122no—
2648D4—2124no—
2649D4—2124no—
2650D4—2124no—
2651D4—2124no—
2652D4—2124no—
2653D4—2124no—
2654D4—2124no—
2655D4—2124no—
2656D4—2124no—
2657D4—2124no—
2658D4—2124no—
2659D4—2122no—
2660D4—2122no—
2661D4—2122no—
2662D4—2122no—
2663D4—2124no—
2664D4—2122no—
2665D4—2122no—
2666C2×C4—22no—
2667C2×C4—22no—
2668C2×C4—24no—
2669C2×C4—24no—
2670C2×C4—22no—
2671C2×C4—24no—
2672C2×C4—42no—
2673C2×C4—42no—
2674C2×C4—42no—
2675C2×C4—44no—
2676C2×C4—44no—
2677C2×C4—44no—
2678C2×C4—534no—
2679C2×C4—531no—
2680C2×C4—531no—
2681C2×C4—531no—
2682C2×C4—534no—
2683C2×C4—532no—
2684C2×C4—531no—
2685C2×C4—531no—
2686C2×C4—531no—
2687C2×C4—532no—
2688C2×C4—534no—
2689C2×C4—532no—
2690C2×C4—532no—
2691C2×C4—532no—
2692C2×C4—1062no—
2693C2×C4—1062no—
2694C2×C4—1062no—
2695C2×C4—1062no—
2696C2×C4—1062no—
2697C2×C4—1068no—
2698C2×C4—1064no—
2699C2×C4—1064no—
2700C2×C4—1062no—
2701C2×C4—1062no—
2702C2×C4—1068no—
2703C2×C4—1064no—
2704C2×C4—1064no—
2705C2×C4—1062no—
2706C2×C4—1064no—
2707C2×C4—1064no—
2708C2×C4—1062no—
2709C2×C4—1062no—
2710C2×C4—1064no—
2711C2×C4—2121no—
2712C2×C4—2121no—
2713C2×C4—2124no—
2714C2×C4—2122no—
2715C2×C4—2122no—
2716C2×C4—2124no—
2717C2×C4—2124no—
2718C2×C4—2124no—
2719C2×C4—2124no—
2720C2×C4—2124no—
2721C2×C4—2121no—
2722C2×C4—2122no—
2723C2×C4—2124no—
2724C2×C4—2124no—
2725C2×C4C24×D5312yes—
2726C2×C4C24×D5311yescharacteristic
2727C2×C4C24×D5311yescharacteristic
2728C2×C4C24×D5311yescharacteristic
2729C2×C4C24×D5311yescharacteristic
2730C2×C4C24×D5312yes—
2731C2×C4C24×D5314yes—
2732C2×C4C24×D5312yes—
2733C2×C4C24×D5312yes—
2734C2×C4C24×D5312yes—
2735C2×C4C24×D5311yescharacteristic
2736C2×C4C24×D5311yescharacteristic
2737C22—21no—
2738C22—21no—
2739C22—22no—
2740C22—22no—
2741C22—22no—
2742C22—24no—
2743C22—24no—
2744C22—22no—
2745C22—22no—
2746C22—22no—
2747C22—22no—
2748C22—22no—
2749C22—22no—
2750C22—24no—
2751C22—84no—
2752C22—164no—
2753C22—532no—
2754C22—8484no—
2755C22—8484no—
2756C22—8484no—
2757C22—1061no—
2758C22—1061no—
2759C22—1061no—
2760C22—1061no—
2761C22—1064no—
2762C22—1062no—
2763C22—1062no—
2764C22—1062no—
2765C22—1062no—
2766C22—1062no—
2767C22—1062no—
2768C22—1064no—
2769C22—1061no—
2770C22—1062no—
2771C22—1062no—
2772C22—1062no—
2773C22—1064no—
2774C22—4244no—
2775C22—4248no—
2776C22—2124no—
2777C22H(5,𝔽2)×D5312yes—
2778C22C25×D5311yescharacteristic
2779C4—21no—
2780C4—21no—
2781C4—22no—
2782C4—22no—
2783C4—21no—
2784C4—22no—
2785C4—24no—
2786C4—22no—
2787C4—21no—
2788C4—22no—
2789C4—532no—
2790C4—532no—
2791C4—532no—
2792C4—1061no—
2793C4—1062no—
2794C4—1062no—
2795C4—1064no—
2796C4—1062no—
2797C4—1062no—
2798C4—1061no—
2799C4—1061no—
2800C4—1062no—
2801C4H(5,𝔽2)×D5312yes—
2802C4#1681145912yes—
2803C2—22no—
2804C2—42no—
2805C2—42no—
2806C2—42no—
2807C2—44no—
2808C2—1062no—
2809C2—2122no—
2810C2—2122no—
2811C2—2122no—
2812C2—2124no—
2813C2—2121no—
2814C2C2×H(5,𝔽2)×D5311yescharacteristic
2815C2C2×H(5,𝔽2)×D5311yescharacteristic
2816C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3519C2
hypercenter#3519D53
hypocenterC53#62834
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. #20289226C2semidirect
2. #20289225C2semidirect
3. #20289117C2semidirect
4. #20289116C2semidirect
5. #20289114C2semidirect
6. #20289108C2semidirect
7. #20289086C2semidirect
8. #20289080C2semidirect
9. #20289079C2semidirect
10. #20288951C2semidirect
11. #20288946C2semidirect
12. #20288749C2semidirect
13. #20288747C2semidirect
14. #20288745C2semidirect
15. #20288742C2semidirect
16. #20288737C2semidirect
17. #20288623C2semidirect
18. #20288617C2semidirect
19. #20288615C2semidirect
20. #20288587C2semidirect
21. #20288586C2semidirect
22. #20288561C2semidirect
23. #20288558C2semidirect
24. #20288492C2semidirect
25. #20288487C2semidirect
26. #20288487C2semidirect
27. #20288475C2semidirect
28. #20288472C2semidirect
29. #20288380C2semidirect
30. #20288378C2semidirect
31. #20288376C2semidirect
32. #20288009C2semidirect
33. C2×#16811170C2semidirect
34. #532×D53C2semidirect
35. C53×#3519C2semidirect
36. C2×#13133263C22semidirect
37. C2×#13133262C22semidirect
38. C2×#13133262C22semidirect
39. C22×#11719945C22semidirect
40. C2×#41×D53C22semidirect
41. #16811369C22semidirect
42. #16811368C22semidirect
43. #16811366C22semidirect
44. #16811365C22semidirect
45. #16811364C22semidirect
46. #16811363C22semidirect
47. #16811362C22semidirect
48. #16811361C22semidirect
49. #16811357C22semidirect
50. #16811357C22semidirect
51. #16811356C22semidirect
52. #16811356C22semidirect
53. #16811344C22semidirect
54. #16811341C22semidirect
55. #16811340C22semidirect
56. #16811339C22semidirect
57. #16811338C22semidirect
58. #16811338C22semidirect
59. #16811337C22semidirect
60. #16811337C22semidirect
61. #16811336C22semidirect
62. #16811336C22semidirect
63. #16811334C22semidirect
64. #16811333C22semidirect
65. #16811332C22semidirect
66. #16811330C22semidirect
67. #16811329C22semidirect
68. #16811326C22semidirect
69. #16811326C22semidirect
70. #16811325C22semidirect
71. #16811323C22semidirect
72. #16811323C22semidirect
73. #16811322C22semidirect
74. #16811321C22semidirect
75. #16811320C22semidirect
76. #16811319C22semidirect
77. #16811319C22semidirect
78. #16811318C22semidirect
79. #16811317C22semidirect
80. #16811295C22semidirect
81. #16811294C22semidirect
82. #16811294C22semidirect
83. #16811294C22semidirect
84. #16811294C22semidirect
85. #16811293C22semidirect
86. #16811293C22semidirect
87. #16811292C22semidirect
88. #16811291C22semidirect
89. #16811291C22semidirect
90. #16811291C22semidirect
91. #16811291C22semidirect
92. #16811283C22semidirect
93. #16811282C22semidirect
94. #16811281C22semidirect
95. #16811279C22semidirect
96. #16811275C22semidirect
97. #16811274C22semidirect
98. #16811274C22semidirect
99. #16811273C22semidirect
100. #16811273C22semidirect
101. #16811272C22semidirect
102. #16811271C22semidirect
103. #16811270C22semidirect
104. #16811269C22semidirect
105. #16811269C22semidirect
106. #16811268C22semidirect
107. #16811266C22semidirect
108. #16811265C22semidirect
109. #16811265C22semidirect
110. #16811265C22semidirect
111. #16811265C22semidirect
112. #16811263C22semidirect
113. #16811263C22semidirect
114. #16811263C22semidirect
115. #16811263C22semidirect
116. #16811263C22semidirect
117. #16811263C22semidirect
118. #16811263C22semidirect
119. #16811262C22semidirect
120. #16811262C22semidirect
121. #16811262C22semidirect
122. #16811261C22semidirect
123. D4×D212C22semidirect
124. D4×D212C22semidirect
125. D4×D212C22semidirect
126. D4×D212C22semidirect
127. D4×D212C22semidirect
128. #16811258C22semidirect
129. #16811258C22semidirect
130. #16811257C22semidirect
131. #16811257C22semidirect
132. #16811257C22semidirect
133. #16811257C22semidirect
134. #16811257C22semidirect
135. #16811257C22semidirect
136. #16811257C22semidirect
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. D4×C22⋊D53C22semidirect
144. #16811255C22semidirect
145. #16811255C22semidirect
146. #16811255C22semidirect
147. #16811255C22semidirect
148. #16811243C22semidirect
149. #16811241C22semidirect
150. #16811239C22semidirect
151. #16811237C22semidirect
152. #16811229C22semidirect
153. #16811228C22semidirect
154. #16811227C22semidirect
155. #16811224C22semidirect
156. #16811224C22semidirect
157. #16811224C22semidirect
158. #16811224C22semidirect
159. #16811212C22semidirect
160. #16811212C22semidirect
161. #16811211C22semidirect
162. #16811209C22semidirect
163. #16811208C22semidirect
164. #16811207C22semidirect
165. #16811206C22semidirect
166. #16811206C22semidirect
167. #16811206C22semidirect
168. #16811205C22semidirect
169. #16811205C22semidirect
170. #16811204C22semidirect
171. #16811203C22semidirect
172. #16811203C22semidirect
173. #16811203C22semidirect
174. #16811202C22semidirect
175. #16811202C22semidirect
176. #16811201C22semidirect
177. #16811200C22semidirect
178. #16811200C22semidirect
179. #16811192C22semidirect
180. #16811192C22semidirect
181. #16811191C22semidirect
182. #16811190C22semidirect
183. #16811190C22semidirect
184. #16811189C22semidirect
185. #16811189C22semidirect
186. #16811189C22semidirect
187. #16811189C22semidirect
188. #16811189C22semidirect
189. #16811189C22semidirect
190. #16811189C22semidirect
191. #16811189C22semidirect
192. #16811188C22semidirect
193. #16811188C22semidirect
194. #16811188C22semidirect
195. #16811188C22semidirect
196. #16811184C22semidirect
197. #16811183C22semidirect
198. #16811182C22semidirect
199. #16811181C22semidirect
200. #16811179C22semidirect
201. #16811179C22semidirect
202. #16811177C22semidirect
203. #16811176C22semidirect
204. #16811175C22semidirect
205. #16811174C22semidirect
206. #16811173C22semidirect
207. #16811172C22semidirect
208. #16811172C22semidirect
209. #16811171C22semidirect
210. #16811170C22semidirect
211. #16811170C22semidirect
212. #16811170C22semidirect
213. #16811170C22semidirect
214. #16811170C22semidirect
215. #16811170C22semidirect
216. #16811170C22semidirect
217. #16811170C22semidirect
218. #16811170C22semidirect
219. #16811170C22semidirect
220. #16811170C22semidirect
221. #16811170C22semidirect
222. #16811170C22semidirect
223. #16811170C22semidirect
224. #16811170C22semidirect
225. #16811170C22semidirect
226. #16811170C22semidirect
227. #16811169C22semidirect
228. #16811168C22semidirect
229. #16811168C22semidirect
230. #16811168C22semidirect
231. #16811168C22semidirect
232. #16811168C22semidirect
233. C2×#13133216C22semidirect
234. C4⋊Q8×D53C22semidirect
235. C2×#13133213C22semidirect
236. C2×#13133213C22semidirect
237. #127×D53C22semidirect
238. #127×D53C22semidirect
239. #16811158C22semidirect
240. #16811157C22semidirect
241. #16811156C22semidirect
242. #16811156C22semidirect
243. #16811152C22semidirect
244. #16811151C22semidirect
245. #16811150C22semidirect
246. C2×#13133203C22semidirect
247. #124×D53C22semidirect
248. #16811136C22semidirect
249. #16811136C22semidirect
250. #16811134C22semidirect
251. #16811133C22semidirect
252. #16811133C22semidirect
253. #16811132C22semidirect
254. #16811132C22semidirect
255. #16811131C22semidirect
256. #16811131C22semidirect
257. C2×#13133192C22semidirect
258. C2×#13133191C22semidirect
259. C2×#13133190C22semidirect
260. C2×#13133190C22semidirect
261. C2×#13133188C22semidirect
262. #121×D53C22semidirect
263. #121×D53C22semidirect
264. #121×D53C22semidirect
265. #121×D53C22semidirect
266. #121×D53C22semidirect
267. #16811104C22semidirect
268. #16811103C22semidirect
269. #16811102C22semidirect
270. #16811097C22semidirect
271. #16811095C22semidirect
272. #16811095C22semidirect
273. C4×#11719949C22semidirect
274. #16811091C22semidirect
275. C4×#11719947C22semidirect
276. C4×#11719947C22semidirect
277. C2×C4×D212C22semidirect
278. C2×C4×C22⋊D53C22semidirect
279. C4×D4×D53C22semidirect
280. C4×D4×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#555C22semidirect
283. C53×#554C22semidirect
284. C53×#553C22semidirect
285. C53×#553C22semidirect
286. C53×#550C22semidirect
287. C53×#546C22semidirect
288. C53×#546C22semidirect
289. D42×C53C22semidirect
290. D42×C53C22semidirect
291. C53×#540C22semidirect
292. C53×#538C22semidirect
293. C53×#532C22semidirect
294. C53×#529C22semidirect
295. C53×#525C22semidirect
296. C2×#121×C53C22semidirect
297. C53×#518C22semidirect
298. C2×C4×D4×C53C22semidirect
1261. C2×Dic53H(5,𝔽2)semidirect
1318. C4×D53H(5,𝔽2)semidirect
1411. #3519D53semidirect
1471. #555C2×D53semidirect
1477. #554C2×D53semidirect
1490. #553C2×D53semidirect
1491. #553C2×D53semidirect
1504. #550C2×D53semidirect
1536. #546C2×D53semidirect
1537. #546C2×D53semidirect
1563. D42C2×D53semidirect
1564. D42C2×D53semidirect
1576. #540C2×D53semidirect
1588. #538C2×D53semidirect
1652. #532C2×D53semidirect
1666. #529C2×D53semidirect
1678. #525C2×D53semidirect
1689. C2×#121C2×D53semidirect
1696. #518C2×D53semidirect
1705. C2×C4×D4C2×D53semidirect
1707. C53#62834semidirect

Maximal subgroups

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

subgroupindex
#202892262
#202892252
#202891172
#202891162
#202891142
#202891082
#202890862
#202890802
#202890792
#202889512
#202889462
#202887492
#202887472
#202887452
#202887422
#202887372
#202886232
#202886172
#202886152
#202885872
#202885862
#202885612
#202885582
#202884922
#202884872
#202884752
#202884722
#202883802
#202883782
#202883762
#202880092
C2×#168111702
#532×D532
C53×#35192
#6283453