Finite Group Databasebeta

← #28292937

Subgroups — #28292937

Order 13568.

7264 conjugacy classes of subgroups.

The subgroup lattice has 2690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289309C212yesmaximal, complemented
2#20289291C212yesmaximal, complemented
3#20289258C214yesmaximal, complemented
4#20289156C211yesmaximal, characteristic, complemented
5#20289140C214yesmaximal, complemented
6#20289101C212yesmaximal, complemented
7#20289084C212yesmaximal, complemented
8#20289045C211yesmaximal, characteristic, complemented
9#20289045C211yesmaximal, characteristic, complemented
10#20288903C214yesmaximal, complemented
11#20288760C212yesmaximal, complemented
12#20288748C212yesmaximal, complemented
13#20288743C212yesmaximal, complemented
14#20288740C212yesmaximal, complemented
15#20288722C211yesmaximal, characteristic, complemented
16#20288720C211yesmaximal, characteristic, complemented
17#20288679C211yesmaximal, characteristic, complemented
18#20288677C212yesmaximal, complemented
19#20288677C211yesmaximal, characteristic, complemented
20#20288669C212yesmaximal, complemented
21#20288638C212yesmaximal, complemented
22#20288581C211yesmaximal, characteristic, complemented
23#20288568C211yesmaximal, characteristic, complemented
24#20288547C214yesmaximal, complemented
25#20288504C212yesmaximal, complemented
26#20288485C211yesmaximal, characteristic, complemented
27#20288473C211yesmaximal, characteristic, complemented
28#20288453C212yesmaximal, complemented
29#20288448C212yesmaximal, complemented
30#20288392C212yesmaximal, complemented
31#20288381C212yesmaximal, complemented
32#20288009C211yesmaximal, characteristic, complemented
33C2×#16811174C211yesmaximal, characteristic, complemented
34#529×D53C211yesmaximal, characteristic, complemented
35C53×#3552C211yesmaximal, characteristic, complemented
36C2×#13133265C2212yescomplemented
37C2×#13133263C2212yescomplemented
38C22×#11719949C2212yescomplemented
39#16811372C2214yescomplemented
40#16811371C2214yescomplemented
41#16811369C2214yescomplemented
42#16811364C2214yescomplemented
43#16811364C2214yescomplemented
44#16811364C2214yescomplemented
45#16811363C2214yescomplemented
46#16811358C2211yescharacteristic, complemented
47#16811358C2211yescharacteristic, complemented
48#16811358C2212yescomplemented
49#16811355C2212yescomplemented
50#16811348C2211yescharacteristic, complemented
51#16811347C2212yescomplemented
52#16811347C2211yescharacteristic, complemented
53#16811345C2212yescomplemented
54#16811345C2212yescomplemented
55#16811339C2212yescomplemented
56#16811339C2214yescomplemented
57#16811336C2212yescomplemented
58#16811336C2212yescomplemented
59#16811335C2214yescomplemented
60#16811329C2212yescomplemented
61#16811328C2212yescomplemented
62#16811326C2214yescomplemented
63#16811326C2214yescomplemented
64#16811326C2212yescomplemented
65#16811326C2214yescomplemented
66#16811326C2214yescomplemented
67#16811324C2214yescomplemented
68#16811324C2214yescomplemented
69#16811324C2214yescomplemented
70#16811324C2214yescomplemented
71#16811324C2214yescomplemented
72#16811321C2212yescomplemented
73#16811321C2212yescomplemented
74#16811318C2214yescomplemented
75#16811318C2214yescomplemented
76#16811305C2214yescomplemented
77#16811305C2214yescomplemented
78#16811305C2214yescomplemented
79#16811302C2214yescomplemented
80#16811300C2214yescomplemented
81#16811300C2214yescomplemented
82#16811300C2214yescomplemented
83#16811300C2214yescomplemented
84#16811300C2214yescomplemented
85#16811298C2214yescomplemented
86#16811298C2214yescomplemented
87#16811295C2211yescharacteristic, complemented
88#16811295C2211yescharacteristic, complemented
89#16811295C2212yescomplemented
90#16811295C2212yescomplemented
91#16811294C2211yescharacteristic, complemented
92#16811294C2211yescharacteristic, complemented
93#16811294C2212yescomplemented
94#16811292C2212yescomplemented
95#16811291C2212yescomplemented
96#16811288C2212yescomplemented
97#16811288C2211yescharacteristic, complemented
98Q8×C22⋊D53C2212yescomplemented
99#16811285C2212yescomplemented
100#16811284C2212yescomplemented
101#16811284C2212yescomplemented
102#16811284C2212yescomplemented
103#16811283C2212yescomplemented
104#16811283C2214yescomplemented
105#16811283C2214yescomplemented
106#16811283C2214yescomplemented
107#16811276C2212yescomplemented
108#16811276C2211yescharacteristic, complemented
109#16811276C2214yescomplemented
110#16811275C2212yescomplemented
111#16811275C2212yescomplemented
112#16811275C2214yescomplemented
113#16811274C2212yescomplemented
114#16811269C2212yescomplemented
115#16811269C2212yescomplemented
116#16811269C2214yescomplemented
117#16811268C2212yescomplemented
118#16811268C2214yescomplemented
119#16811266C2212yescomplemented
120#16811266C2214yescomplemented
121#16811265C2214yescomplemented
122#16811265C2214yescomplemented
123#16811265C2214yescomplemented
124#16811265C2214yescomplemented
125#16811265C2214yescomplemented
126#16811264C2212yescomplemented
127#16811264C2212yescomplemented
128#16811264C2212yescomplemented
129#16811264C2212yescomplemented
130#16811264C2212yescomplemented
131#16811264C2214yescomplemented
132#16811264C2214yescomplemented
133#16811264C2214yescomplemented
134#16811264C2214yescomplemented
135#16811262C2214yescomplemented
136#16811261C2212yescomplemented
137D4×D212C2212yescomplemented
138D4×D212C2211yescharacteristic, complemented
139D4×D212C2211yescharacteristic, complemented
140D4×D212C2212yescomplemented
141D4×D212C2214yescomplemented
142#16811257C2212yescomplemented
143#16811257C2212yescomplemented
144#16811257C2212yescomplemented
145#16811257C2214yescomplemented
146#16811250C2212yescomplemented
147#16811247C2212yescomplemented
148#16811247C2214yescomplemented
149#16811247C2212yescomplemented
150#16811246C2212yescomplemented
151#16811243C2214yescomplemented
152#16811234C2212yescomplemented
153#16811229C2212yescomplemented
154#16811229C2212yescomplemented
155#16811229C2214yescomplemented
156#16811229C2214yescomplemented
157#16811229C2212yescomplemented
158#16811228C2212yescomplemented
159#16811228C2212yescomplemented
160#16811226C2212yescomplemented
161#16811225C2214yescomplemented
162#16811225C2214yescomplemented
163#16811221C2214yescomplemented
164#16811221C2214yescomplemented
165#16811220C2214yescomplemented
166#16811219C2214yescomplemented
167#16811213C2214yescomplemented
168#16811213C2214yescomplemented
169#16811213C2214yescomplemented
170#16811213C2214yescomplemented
171#16811212C2214yescomplemented
172#16811212C2214yescomplemented
173#16811212C2214yescomplemented
174#16811212C2214yescomplemented
175#16811210C2214yescomplemented
176#16811209C2214yescomplemented
177#16811207C2214yescomplemented
178#16811203C2214yescomplemented
179#16811203C2214yescomplemented
180#16811203C2212yescomplemented
181#16811203C2212yescomplemented
182#16811203C2214yescomplemented
183#16811198C2212yescomplemented
184#16811198C2212yescomplemented
185#16811198C2214yescomplemented
186#16811192C2212yescomplemented
187#16811192C2212yescomplemented
188#16811191C2212yescomplemented
189#16811191C2212yescomplemented
190#16811191C2212yescomplemented
191#16811191C2214yescomplemented
192#16811184C2214yescomplemented
193#16811184C2214yescomplemented
194#16811184C2214yescomplemented
195#16811179C2211yescharacteristic, complemented
196#16811177C2211yescharacteristic, complemented
197#16811175C2211yescharacteristic, complemented
198#16811174C2211yescharacteristic
199#16811174C2212yescomplemented
200#16811174C2211yescharacteristic, complemented
201#16811174C2212yescomplemented
202#16811174C2212yescomplemented
203#16811174C2212yescomplemented
204#16811174C2211yescharacteristic, complemented
205#16811174C2212yescomplemented
206#16811174C2212yescomplemented
207#16811174C2212yescomplemented
208#16811174C2211yescharacteristic, complemented
209#16811174C2212yescomplemented
210#16811172C2211yescharacteristic, complemented
211#16811170C2211yescharacteristic, complemented
212#16811170C2212yescomplemented
213#16811169C2212yescomplemented
214#16811168C2211yescharacteristic, complemented
215C2×#13133214C2211yescharacteristic, complemented
216#16811160C2212yescomplemented
217#16811160C2212yescomplemented
218#16811160C2212yescomplemented
219#16811160C2211yescharacteristic, complemented
220#16811159C2212yescomplemented
221#16811159C2212yescomplemented
222#16811159C2211yescharacteristic, complemented
223#16811158C2211yescharacteristic, complemented
224#16811158C2211yescharacteristic, complemented
225#16811158C2212yescomplemented
226#16811157C2211yescharacteristic, complemented
227#16811157C2211yescharacteristic, complemented
228#16811156C2212yescomplemented
229#16811156C2212yescomplemented
230#16811156C2212yescomplemented
231#16811155C2211yescharacteristic, complemented
232#16811154C2211yescharacteristic, complemented
233#16811153C2212yescomplemented
234#16811152C2211yescharacteristic, complemented
235#16811152C2211yescharacteristic, complemented
236#16811151C2212yescomplemented
237#16811151C2212yescomplemented
238#16811150C2212yescomplemented
239#16811150C2212yescomplemented
240#126×D53C2212yescomplemented
241#125×D53C2211yescharacteristic, complemented
242C2×#13133206C2212yescomplemented
243C2×#13133206C2212yescomplemented
244#124×D53C2212yescomplemented
245#124×D53C2211yescharacteristic, complemented
246#16811136C2211yescharacteristic, complemented
247#16811136C2212yescomplemented
248#16811135C2212yescomplemented
249#16811133C2211yescharacteristic, complemented
250#16811132C2212yescomplemented
251#16811132C2214yescomplemented
252#16811132C2214yescomplemented
253#16811131C2212yescomplemented
254#123×D53C2212yescomplemented
255C22⋊Q8×D53C2214yescomplemented
256C22⋊Q8×D53C2211yescharacteristic, complemented
257C2×#13133192C2212yescomplemented
258C2×#13133192C2212yescomplemented
259C2×#13133192C2212yescomplemented
260#121×D53C2211yescharacteristic
261#121×D53C2214yescomplemented
262#121×D53C2212yescomplemented
263#16811105C2212yescomplemented
264#16811105C2212yescomplemented
265#16811105C2212yescomplemented
266#16811104C2212yescomplemented
267#16811097C2212yescomplemented
268#16811095C2214yescomplemented
269#16811095C2214yescomplemented
270#16811095C2212yescomplemented
271C4×#11719949C2211yescharacteristic, complemented
272#16811091C2212yescomplemented
273C4×#11719947C2212yescomplemented
274C4×#11719947C2211yescharacteristic, complemented
275C4×Q8×D53C2211yescharacteristic, complemented
276C2×#13133179C2212yescomplemented
277C2×#13133179C2212yescomplemented
278C4×D4×D53C2211yescharacteristic, complemented
279C4×D4×D53C2212yescomplemented
280#117×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#563C2214yescomplemented
283C53×#557C2211yescharacteristic, complemented
284C53×#556C2211yescharacteristic, complemented
285C53×#554C2212yescomplemented
286C53×#553C2212yescomplemented
287D4×Q8×C53C2212yescomplemented
288D4×Q8×C53C2211yescharacteristic, complemented
289C53×#548C2212yescomplemented
290C53×#547C2211yescharacteristic, complemented
291C53×#544C2212yescomplemented
292C53×#542C2212yescomplemented
293C53×#541C2212yescomplemented
294C53×#539C2214yescomplemented
295C53×#536C2212yescomplemented
296C2×C4⋊Q8×C53C2211yescharacteristic, complemented
297C53×#529C2211yescharacteristic, complemented
298C53×#529C2211yescharacteristic, complemented
299#13133265—48no—
300#13133263—48no—
301C2×#11719949—48no—
302C2×#11719949C2312yes—
303C2×#11719949C2312yes—
304C2×#11719949C2314yes—
305C2×#11719949C2311yescharacteristic
306C2×#11719949C2314yes—
307C2×#11719949C2312yes—
308C2×#11719949C2312yes—
309C2×#11719949C2312yes—
310C2×#11719949C2312yes—
311C2×#11719949C2312yes—
312C2×#11719949C2314yes—
313C2×#11719945C2312yes—
314C2×#11719945C2314yes—
315C2×#11719945C2314yes—
316C2×#11719945C2314yes—
317C2×#11719945C2312yes—
318C2×#11719945C2312yes—
319C2×#11719947C2311yescharacteristic
320C2×#11719947C2312yes—
321C2×Q8×D53C2311yescharacteristic
322C2×Q8×D53C2314yes—
323C2×Q8×D53C2312yes—
324C22×D212C2314yes—
325C22×D212C2312yes—
326C22×D212C2312yes—
327C22×D212C2314yes—
328C22×D212C2312yes—
329C22×D212C2312yes—
330C22×D212C2312yes—
331C2×D4×D53C2311yescharacteristic
332C2×D4×D53C2314yes—
333C2×D4×D53C2314yes—
334C2×D4×D53C2312yes—
335C2×D4×D53C2314yes—
336C2×D4×D53C2312yes—
337C2×D4×D53C2312yes—
338C2×D4×D53C2314yes—
339C22×C4×D53C2311yescharacteristic
340C22×C4×D53C2311yescharacteristic
341C22×C4×D53C2311yescharacteristic
342C22×C4×D53C2312yes—
343C22×C4×D53C2314yes—
344#13133216C2311yescharacteristic
345#13133216C2312yes—
346#13133216C2311yescharacteristic
347#13133215C2311yescharacteristic
348#13133215C2314yes—
349#13133215C2312yes—
350#13133214C2311yescharacteristic
351#13133214C2312yes—
352#13133214C2312yes—
353#13133214C2314yes—
354#13133214C2311yescharacteristic
355#13133214C2312yes—
356#13133214C2312yes—
357#13133214C2312yes—
358#13133213C2314yes—
359#13133213C2312yes—
360#13133213C2312yes—
361#13133213C2311yescharacteristic
362#13133212C2314yes—
363#13133212C2312yes—
364#13133212C2312yes—
365#13133212C2314yes—
366#13133212C2314yes—
367#13133212C2314yes—
368#13133212C2314yes—
369#13133212C2314yes—
370#13133212C2314yes—
371#13133212C2314yes—
372#13133212C2314yes—
373#13133212C2314yes—
374#13133212C2312yes—
375#13133212C2312yes—
376#13133211C2314yes—
377#13133211C2312yes—
378#13133211C2312yes—
379#13133210C2312yes—
380#13133210C2312yes—
381#13133210C2312yes—
382#13133210C2312yes—
383#13133209C2311yescharacteristic
384#13133209C2311yescharacteristic
385#13133208C2312yes—
386#13133208C2311yescharacteristic
387#13133208C2311yescharacteristic
388#13133207C2312yes—
389#13133207C2312yes—
390#13133207C2312yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133207C2314yes—
394#13133207C2312yes—
395#13133206C2312yes—
396#13133206C2314yes—
397#13133206C2314yes—
398#13133206C2314yes—
399#13133206C2314yes—
400#13133206C2312yes—
401#13133206C2312yes—
402#13133206C2312yes—
403#13133206C2314yes—
404#13133206C2312yes—
405#13133206C2314yes—
406#13133206C2312yes—
407#13133206C2311yescharacteristic
408#13133206C2312yes—
409#13133206C2314yes—
410#13133205C2312yes—
411#13133205C2314yes—
412#13133205C2314yes—
413#13133205C2312yes—
414#13133205C2311yescharacteristic
415#13133205C2311yescharacteristic
416#13133204C2311yescharacteristic
417#13133203C2312yes—
418#13133203C2312yes—
419#13133203C2312yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2312yes—
425#13133202C2314yes—
426#13133202C2312yes—
427#13133202C2314yes—
428#13133202C2314yes—
429#13133202C2314yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2314yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2314yes—
444#13133202C2314yes—
445#13133202C2314yes—
446#13133202C2314yes—
447#13133202C2314yes—
448#13133202C2312yes—
449#13133202C2312yes—
450#13133202C2312yes—
451#13133201C2312yes—
452#13133201C2314yes—
453#13133201C2314yes—
454#13133201C2314yes—
455#13133200C2314yes—
456#13133200C2312yes—
457#13133200C2312yes—
458#13133199C2312yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2312yes—
463#13133199C2312yes—
464#13133199C2312yes—
465#13133198C2312yes—
466#13133197C2312yes—
467#13133197C2314yes—
468#13133197C2311yescharacteristic
469#13133197C2314yes—
470#13133197C2311yescharacteristic
471#13133196C2311yescharacteristic
472#13133196C2311yescharacteristic
473#13133196C2314yes—
474#13133195C2314yes—
475#13133195C2314yes—
476#13133195C2314yes—
477#13133195C2314yes—
478#13133195C2314yes—
479#13133195C2314yes—
480#13133195C2314yes—
481#13133195C2314yes—
482#13133195C2314yes—
483#13133195C2312yes—
484#13133195C2312yes—
485#13133195C2312yes—
486#13133195C2312yes—
487#13133194C2312yes—
488#13133194C2312yes—
489#13133193C2312yes—
490#13133193C2314yes—
491#13133193C2311yescharacteristic
492#13133193C2312yes—
493#13133193C2314yes—
494#13133193C2314yes—
495#13133193C2314yes—
496#13133193C2311yescharacteristic
497#13133192C2314yes—
498#13133192C2314yes—
499#13133192C2312yes—
500#13133192C2311yescharacteristic
501#13133192C2314yes—
502#13133192C2314yes—
503#13133192C2314yes—
504#13133192C2314yes—
505#13133192C2314yes—
506#13133192C2312yes—
507#13133192C2312yes—
508#13133192C2314yes—
509#13133192C2314yes—
510#13133192C2314yes—
511#13133192C2314yes—
512#13133192C2314yes—
513#13133192C2314yes—
514#13133192C2314yes—
515#13133192C2314yes—
516#13133192C2312yes—
517#13133192C2312yes—
518#13133192C2314yes—
519#13133192C2312yes—
520#13133192C2314yes—
521#13133192C2312yes—
522#13133192C2314yes—
523#13133192C2314yes—
524#13133192C2314yes—
525#13133192C2314yes—
526#13133192C2312yes—
527#13133192C2311yescharacteristic
528#13133192C2312yes—
529#13133192C2312yes—
530#13133192C2312yes—
531#13133192C2312yes—
532#13133192C2314yes—
533#13133192C2312yes—
534#13133191C2314yes—
535#13133191C2314yes—
536#13133191C2314yes—
537#13133191C2312yes—
538#13133191C2312yes—
539#13133191C2311yescharacteristic
540#13133191C2312yes—
541#13133191C2314yes—
542#13133191C2312yes—
543#13133191C2311yescharacteristic
544#13133190C2314yes—
545#13133190C2314yes—
546#13133190C2314yes—
547#13133190C2314yes—
548#13133190C2314yes—
549#13133190C2314yes—
550#13133190C2314yes—
551#13133190C2314yes—
552#13133190C2314yes—
553#13133190C2314yes—
554#13133190C2314yes—
555#13133190C2314yes—
556#13133190C2314yes—
557#13133190C2314yes—
558#13133190C2314yes—
559#13133190C2314yes—
560#13133190C2314yes—
561#13133190C2312yes—
562#13133190C2312yes—
563#13133190C2312yes—
564#13133190C2312yes—
565#13133189C2314yes—
566#13133189C2314yes—
567#13133189C2314yes—
568#13133189C2312yes—
569#13133189C2312yes—
570#13133188C2311yescharacteristic
571#13133188C2314yes—
572#13133188C2311yescharacteristic
573#13133187C2314yes—
574#13133187C2314yes—
575#13133187C2312yes—
576#13133187C2314yes—
577#13133187C2314yes—
578#13133187C2314yes—
579#13133187C2314yes—
580#13133187C2314yes—
581#13133187C2314yes—
582#13133187C2314yes—
583#13133187C2314yes—
584#13133187C2314yes—
585#13133187C2314yes—
586#13133187C2314yes—
587#13133187C2314yes—
588#13133187C2314yes—
589#13133185C2312yes—
590#13133185C2314yes—
591#13133185C2314yes—
592#13133185C2314yes—
593Q8×Dic53C2311yescharacteristic
594Q8×Dic53C2312yes—
595Q8×Dic53C2312yes—
596Q8×Dic53C2311yescharacteristic
597C4×Dic106C2312yes—
598C4×Dic106C2311yescharacteristic
599C4×Dic106C2311yescharacteristic
600C4×Dic106C2312yes—
601#13133182C2312yes—
602#13133182C2312yes—
603#13133182C2312yes—
604#13133182C2311yescharacteristic
605#13133182C2312yes—
606#13133182C2311yescharacteristic
607#13133182C2312yes—
608C4×D212C2312yes—
609C4×D212C2314yes—
610C4×D212C2314yes—
611C4×D212C2312yes—
612C4×D212C2312yes—
613C4×D212C2314yes—
614C4×D212C2312yes—
615C4×D212C2314yes—
616C4×D212C2312yes—
617C4×D212C2314yes—
618C4×D212C2311yescharacteristic
619C4×D212C2311yescharacteristic
620C4×D212C2314yes—
621C4×D212C2314yes—
622C4×D212C2312yes—
623D4×Dic53C2312yes—
624D4×Dic53C2311yescharacteristic
625D4×Dic53C2312yes—
626D4×Dic53C2311yescharacteristic
627#13133179C2312yes—
628#13133179C2312yes—
629#13133179C2311yescharacteristic
630#13133179C2312yes—
631#13133179C2314yes—
632#13133179C2312yes—
633#13133179C2312yes—
634#13133179C2314yes—
635#13133179C2312yes—
636#13133179C2312yes—
637#13133179C2314yes—
638#13133179C2314yes—
639#13133179C2314yes—
640#13133179C2314yes—
641#13133179C2312yes—
642#13133179C2312yes—
643#13133179C2314yes—
644#13133179C2312yes—
645#13133179C2312yes—
646#13133179C2314yes—
647#13133179C2312yes—
648#13133179C2312yes—
649#13133179C2312yes—
650#13133179C2312yes—
651#13133179C2312yes—
652#13133179C2314yes—
653#13133179C2311yescharacteristic
654#13133179C2312yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2312yes—
657C4×C22⋊D53C2314yes—
658C4×C22⋊D53C2314yes—
659C4×C22⋊D53C2312yes—
660C4×C22⋊D53C2314yes—
661C4×C22⋊D53C2312yes—
662C4×C22⋊D53C2314yes—
663C4×C22⋊D53C2312yes—
664C4×C22⋊D53C2312yes—
665C4×C22⋊D53C2314yes—
666C4×C22⋊D53C2314yes—
667C4×C22⋊D53C2314yes—
668#13133177C2312yes—
669#13133177C2312yes—
670#13133177C2312yes—
671#13133177C2312yes—
672#13133177C2312yes—
673#13133177C2314yes—
674#13133177C2314yes—
675#13133177C2314yes—
676#13133177C2312yes—
677#13133177C2312yes—
678#13133177C2312yes—
679#13133177C2312yes—
680#13133177C2312yes—
681#13133176C2312yes—
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133175C2312yes—
686#13133175C2314yes—
687#13133175C2314yes—
688#13133175C2314yes—
689#13133175C2311yescharacteristic
690#13133175C2312yes—
691#13133175C2311yescharacteristic
692#13133174C2314yes—
693#13133174C2314yes—
694#13133174C2314yes—
695#13133174C2314yes—
696#13133174C2314yes—
697#13133174C2312yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133174C2312yes—
701#13133173C2312yes—
702#13133173C2312yes—
703#13133173C2312yes—
704#13133173C2312yes—
705#13133173C2312yes—
706C4⋊C4×D53C2312yes—
707C4⋊C4×D53C2312yes—
708C4⋊C4×D53C2314yes—
709C4⋊C4×D53C2314yes—
710C4⋊C4×D53C2314yes—
711C4⋊C4×D53C2314yes—
712C4⋊C4×D53C2312yes—
713C4⋊C4×D53C2312yes—
714C4⋊C4×D53C2311yescharacteristic
715C4⋊C4×D53C2311yescharacteristic
716C4⋊C4×D53C2312yes—
717C2×#11719921C2314yes—
718C2×#11719921C2314yes—
719C2×#11719921C2314yes—
720C2×#11719921C2314yes—
721C2×#11719921C2314yes—
722C22⋊C4×D53C2312yes—
723C22⋊C4×D53C2312yes—
724C22⋊C4×D53C2314yes—
725C22⋊C4×D53C2312yes—
726C22⋊C4×D53C2312yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2314yes—
732C22⋊C4×D53C2314yes—
733C22⋊C4×D53C2312yes—
734C2×C4×Dic53C2311yescharacteristic
735C2×C4×Dic53C2311yescharacteristic
736C2×C4×Dic53C2311yescharacteristic
737C2×C4×Dic53C2312yes—
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2311yescharacteristic
745C42×D53C2311yescharacteristic
746C42×D53C2312yes—
747C42×D53C2312yes—
748C2×#41×C53C2312yes—
749C22×Q8×C53C2312yes—
750C22×Q8×C53C2312yes—
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2314yes—
754C4⋊Q8×C53C2311yescharacteristic
755C4⋊Q8×C53C2312yes—
756C4⋊Q8×C53C2312yes—
757C4⋊Q8×C53C2312yes—
758C4⋊Q8×C53C2312yes—
759#126×C53C2314yes—
760#126×C53C2314yes—
761#126×C53C2312yes—
762#126×C53C2312yes—
763#126×C53C2314yes—
764#125×C53C2314yes—
765#125×C53C2314yes—
766#125×C53C2314yes—
767#125×C53C2311yescharacteristic
768#125×C53C2311yescharacteristic
769#125×C53C2312yes—
770#124×C53C2312yes—
771#124×C53C2314yes—
772#124×C53C2311yescharacteristic
773#124×C53C2311yescharacteristic
774#123×C53C2314yes—
775#123×C53C2314yes—
776#123×C53C2314yes—
777#123×C53C2312yes—
778#123×C53C2312yes—
779C22⋊Q8×C53C2311yescharacteristic
780C22⋊Q8×C53C2311yescharacteristic
781C22⋊Q8×C53C2312yes—
782C22⋊Q8×C53C2312yes—
783C22⋊Q8×C53C2314yes—
784C22⋊Q8×C53C2314yes—
785C22⋊Q8×C53C2312yes—
786C22⋊Q8×C53C2314yes—
787C22⋊Q8×C53C2314yes—
788C22⋊Q8×C53C2314yes—
789C22⋊Q8×C53C2314yes—
790#121×C53C2312yes—
791#121×C53C2311yescharacteristic
792#121×C53C2311yescharacteristic
793#121×C53C2314yes—
794C4×Q8×C53C2312yes—
795C4×Q8×C53C2311yescharacteristic
796C4×Q8×C53C2311yescharacteristic
797C4×Q8×C53C2312yes—
798C4×Q8×C53C2312yes—
799C4×D4×C53C2314yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2312yes—
802C4×D4×C53C2312yes—
803C4×D4×C53C2311yescharacteristic
804C4×D4×C53C2311yescharacteristic
805C4×D4×C53C2314yes—
806#117×C53C2312yes—
807#117×C53C2312yes—
808#117×C53C2312yes—
809C2×C4⋊C4×C53C2312yes—
810C2×C4⋊C4×C53C2312yes—
811C2×C4⋊C4×C53C2312yes—
812C2×C42×C53C2311yescharacteristic
813C23×D53C2411yescharacteristic
814C23×D53C2412yes—
815C23×D53C2414yes—
816C23×D53C2414yes—
817C23×D53C2414yes—
818#41×C53—44no—
819C2×Q8×C53—44no—
820C2×Q8×C53—44no—
821C2×Q8×C53C2411yescharacteristic
822C2×Q8×C53C2411yescharacteristic
823C2×Q8×C53C2412yes—
824C2×Q8×C53C2412yes—
825C2×Q8×C53C2414yes—
826C2×Q8×C53C2414yes—
827C2×D4×C53C2412yes—
828C2×D4×C53C2412yes—
829C2×D4×C53C2411yescharacteristic
830C2×D4×C53C2411yescharacteristic
831C2×D4×C53C2414yes—
832C22×C4×C53C2411yescharacteristic
833C22×C4×C53C2411yescharacteristic
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2412yes—
836C22×C4×C53C2412yes—
837C22×C4×C53C2414yes—
838C22×C4×C53C2414yes—
839C22×C4×C53C2414yes—
840C2×C22⋊D53C2412yes—
841C2×C22⋊D53C2412yes—
842C2×C22⋊D53C2412yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2414yes—
847C2×C22⋊D53C2412yes—
848C2×C22⋊D53C2414yes—
849C2×C22⋊D53C2412yes—
850C2×C22⋊D53C2414yes—
851C2×C22⋊D53C2414yes—
852C2×C22⋊D53C2414yes—
853C2×C22⋊D53C2414yes—
854C22×Dic53C2411yescharacteristic
855C22×Dic53C2411yescharacteristic
856C22×Dic53C2411yescharacteristic
857C22×Dic53C2412yes—
858C22×Dic53C2412yes—
859C22×Dic53C2412yes—
860#11719949—28no—
861#11719949—28no—
862#11719949—48no—
863#11719949—48no—
864#11719949—48no—
865#11719949—44no—
866#11719949—44no—
867#11719949—44no—
868#11719949—42no—
869#11719949—44no—
870#11719949—44no—
871Q8×D53—24no—
872Q8×D53—48no—
873Q8×D53—44no—
874#11719947—42no—
875#11719947—44no—
876D4×D53—24no—
877D4×D53—44no—
878D4×D53—44no—
879D4×D53—48no—
880D4×D53—48no—
881D4×D53—44no—
882D4×D53—48no—
883D4×D53—48no—
884#11719945—28no—
885#11719945—48no—
886#11719945—48no—
887#11719945—44no—
888#11719945—44no—
889#11719945—48no—
890C2×D212—44no—
891C2×D212—44no—
892C2×D212—44no—
893C2×D212—44no—
894C2×D212—48no—
895C2×D212—48no—
896C2×D212—44no—
897C2×D212C2412yes—
898C2×D212C2411yescharacteristic
899C2×D212C2412yes—
900C2×D212C2412yes—
901C2×D212C2414yes—
902C2×D212C2414yes—
903C2×D212C2411yescharacteristic
904C2×D212C2412yes—
905C2×D212C2412yes—
906C2×D212C2412yes—
907C2×D212C2414yes—
908C2×D212C2414yes—
909C2×D212C2412yes—
910C2×D212C2414yes—
911C2×D212C2412yes—
912C2×D212C2414yes—
913C2×D212C2412yes—
914C2×D212C2414yes—
915C2×D212C2414yes—
916C2×D212C2414yes—
917C2×D212C2414yes—
918C2×D212C2414yes—
919C2×D212C2414yes—
920C2×D212C2414yes—
921C2×D212C2414yes—
922C2×C4×D53—24no—
923C2×C4×D53—48no—
924C2×C4×D53—44no—
925C2×C4×D53—42no—
926C2×C4×D53—42no—
927C2×C4×D53C2411yescharacteristic
928C2×C4×D53C2411yescharacteristic
929C2×C4×D53C2411yescharacteristic
930C2×C4×D53C2411yescharacteristic
931C2×C4×D53C2411yescharacteristic
932C2×C4×D53C2412yes—
933C2×C4×D53C2412yes—
934C2×C4×D53C2412yes—
935C2×C4×D53C2414yes—
936C2×C4×D53C2414yes—
937C2×C4×D53C2411yescharacteristic
938C2×C4×D53C2411yescharacteristic
939C2×C4×D53C2411yescharacteristic
940C2×C4×D53C2411yescharacteristic
941C2×C4×D53C2411yescharacteristic
942C2×C4×D53C2411yescharacteristic
943C2×C4×D53C2412yes—
944C2×C4×D53C2412yes—
945C2×C4×D53C2412yes—
946C2×C4×D53C2412yes—
947C2×C4×D53C2412yes—
948C2×C4×D53C2414yes—
949C2×C4×D53C2414yes—
950C2×C4×D53C2414yes—
951C2×C4×D53C2414yes—
952C2×C4×D53C2414yes—
953C2×C4×D53C2414yes—
954C2×C4×D53C2414yes—
955C2×C4×D53C2414yes—
956C2×C4×D53C2414yes—
957C2×C4×D53C2414yes—
958C2×C4×D53C2411yescharacteristic
959C2×Dic106C2411yescharacteristic
960C2×Dic106C2412yes—
961C2×Dic106C2412yes—
962C2×Dic106C2411yescharacteristic
963C2×Dic106C2412yes—
964C2×Dic106C2414yes—
965C4⋊C4×C53C2411yescharacteristic
966C4⋊C4×C53C2412yes—
967C4⋊C4×C53C2412yes—
968C4⋊C4×C53C2414yes—
969C4⋊C4×C53C2412yes—
970C4⋊C4×C53C2414yes—
971C4⋊C4×C53C2414yes—
972C4⋊C4×C53C2412yes—
973C4⋊C4×C53C2411yescharacteristic
974C4⋊C4×C53C2412yes—
975C4⋊C4×C53C2412yes—
976C4⋊C4×C53C2412yes—
977C4⋊C4×C53C2412yes—
978C4⋊C4×C53C2411yescharacteristic
979C4⋊C4×C53C2414yes—
980C4⋊C4×C53C2412yes—
981C4⋊C4×C53C2414yes—
982C4⋊C4×C53C2412yes—
983C4⋊C4×C53C2411yescharacteristic
984C4⋊C4×C53C2414yes—
985C4⋊C4×C53C2414yes—
986C4⋊C4×C53C2414yes—
987C4⋊C4×C53C2412yes—
988C4⋊C4×C53C2412yes—
989C22⋊C4×C53C2414yes—
990C22⋊C4×C53C2412yes—
991C22⋊C4×C53C2412yes—
992C22⋊C4×C53C2412yes—
993C22⋊C4×C53C2412yes—
994C22⋊C4×C53C2412yes—
995C22⋊C4×C53C2412yes—
996C22⋊C4×C53C2414yes—
997C22⋊C4×C53C2414yes—
998C22⋊C4×C53C2412yes—
999C22⋊C4×C53C2412yes—
1000C22⋊C4×C53C2414yes—
1001C22⋊C4×C53C2412yes—
1002C22⋊C4×C53C2412yes—
1003C42×C53C2411yescharacteristic
1004C42×C53C2411yescharacteristic
1005C42×C53C2411yescharacteristic
1006C42×C53C2411yescharacteristic
1007C42×C53C2412yes—
1008C42×C53C2412yes—
1009C42×C53C2414yes—
1010C42×C53C2414yes—
1011C22⋊Dic53C2412yes—
1012C22⋊Dic53C2412yes—
1013C22⋊Dic53C2412yes—
1014C22⋊Dic53C2412yes—
1015C22⋊Dic53C2412yes—
1016C22⋊Dic53C2412yes—
1017C22⋊Dic53C2412yes—
1018C22⋊Dic53C2412yes—
1019#11719921C2412yes—
1020#11719921C2414yes—
1021#11719921C2414yes—
1022#11719921C2412yes—
1023#11719921C2414yes—
1024#11719921C2412yes—
1025#11719921C2414yes—
1026#11719921C2412yes—
1027#11719921C2414yes—
1028#11719921C2414yes—
1029#11719921C2414yes—
1030#11719921C2414yes—
1031#11719921C2412yes—
1032#11719921C2412yes—
1033#11719921C2412yes—
1034#11719921C2412yes—
1035#11719921C2412yes—
1036#11719921C2412yes—
1037#11719921C2412yes—
1038#11719921C2414yes—
1039#11719921C2414yes—
1040#11719921C2412yes—
1041#11719921C2414yes—
1042#11719921C2414yes—
1043#11719921C2414yes—
1044#11719921C2414yes—
1045#11719921C2414yes—
1046#11719921C2414yes—
1047#11719921C2414yes—
1048#11719921C2414yes—
1049#11719921C2412yes—
1050#11719921C2412yes—
1051#11719921C2412yes—
1052#11719921C2412yes—
1053#11719921C2414yes—
1054#11719921C2414yes—
1055#11719921C2414yes—
1056#11719921C2414yes—
1057#11719921C2414yes—
1058#11719921C2412yes—
1059#11719921C2412yes—
1060#11719921C2414yes—
1061#11719921C2412yes—
1062#11719921C2412yes—
1063C4⋊Dic53C2412yes—
1064C4⋊Dic53C2411yescharacteristic
1065C4⋊Dic53C2412yes—
1066C4⋊Dic53C2412yes—
1067C4⋊Dic53C2412yes—
1068C4⋊Dic53C2411yescharacteristic
1069C4⋊Dic53C2411yescharacteristic
1070C4⋊Dic53C2414yes—
1071C4⋊Dic53C2414yes—
1072C4⋊Dic53C2412yes—
1073C4⋊Dic53C2411yescharacteristic
1074C4⋊Dic53C2412yes—
1075#11719919C2412yes—
1076#11719919C2412yes—
1077#11719919C2412yes—
1078#11719919C2412yes—
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2414yes—
1082#11719919C2412yes—
1083#11719919C2412yes—
1084#11719919C2412yes—
1085#11719919C2412yes—
1086#11719919C2412yes—
1087#11719919C2414yes—
1088#11719919C2412yes—
1089#11719919C2412yes—
1090#11719919C2412yes—
1091#11719919C2412yes—
1092#11719919C2412yes—
1093#11719919C2412yes—
1094#11719919C2412yes—
1095#11719919C2412yes—
1096#11719919C2412yes—
1097#11719919C2414yes—
1098#11719919C2414yes—
1099C4×Dic53C2411yescharacteristic
1100C4×Dic53C2411yescharacteristic
1101C4×Dic53C2411yescharacteristic
1102C4×Dic53C2411yescharacteristic
1103C4×Dic53C2411yescharacteristic
1104C4×Dic53C2411yescharacteristic
1105C4×Dic53C2411yescharacteristic
1106C4×Dic53C2411yescharacteristic
1107C4×Dic53C2411yescharacteristic
1108C4×Dic53C2411yescharacteristic
1109C4×Dic53C2411yescharacteristic
1110C4×Dic53C2411yescharacteristic
1111C4×Dic53C2412yes—
1112C4×Dic53C2412yes—
1113C4×Dic53C2412yes—
1114C4×Dic53C2412yes—
1115C4×Dic53C2412yes—
1116C4×Dic53C2412yes—
1117C4×Dic53C2412yes—
1118C4×Dic53C2412yes—
1119C4×Dic53C2414yes—
1120C4×Dic53C2414yes—
1121C23×C53C2512yes—
1122C23×C53C2512yes—
1123C23×C53C2511yescharacteristic
1124C22×D53—22no—
1125C22×D53—28no—
1126C22×D53—22no—
1127C22×D53—24no—
1128C22×D53—41no—
1129C22×D53—44no—
1130C22×D53—42no—
1131C22×D53—44no—
1132C22×D53—42no—
1133C22×D53—44no—
1134C22×D53—44no—
1135C22×D53—44no—
1136C22×D53—44no—
1137C22×D53—44no—
1138C22×D53—44no—
1139C22×D53C2511yescharacteristic
1140C22×D53C2514yes—
1141C22×D53C2512yes—
1142C22×D53C2514yes—
1143C22×D53C2512yes—
1144C22×D53C2511yescharacteristic
1145Q8×C53—22no—
1146Q8×C53—24no—
1147Q8×C53—24no—
1148Q8×C53—22no—
1149Q8×C53—44no—
1150Q8×C53—44no—
1151D4×C53—24no—
1152D4×C53—24no—
1153D4×C53—22no—
1154D4×C53—22no—
1155D4×C53—44no—
1156C2×C4×C53—22no—
1157C2×C4×C53—22no—
1158C2×C4×C53—24no—
1159C2×C4×C53—22no—
1160C2×C4×C53—24no—
1161C2×C4×C53—44no—
1162C2×C4×C53—44no—
1163C2×C4×C53—44no—
1164C2×C4×C53C2512yes—
1165C2×C4×C53C2514yes—
1166C2×C4×C53C2512yes—
1167C2×C4×C53C2512yes—
1168C2×C4×C53C2512yes—
1169C2×C4×C53C2514yes—
1170C2×C4×C53C2512yes—
1171C2×C4×C53C2512yes—
1172C2×C4×C53C2511yescharacteristic
1173C2×C4×C53C2511yescharacteristic
1174C2×C4×C53C2511yescharacteristic
1175C2×C4×C53C2511yescharacteristic
1176C2×C4×C53C2511yescharacteristic
1177C2×C4×C53C2511yescharacteristic
1178C22⋊D53—24no—
1179C22⋊D53—24no—
1180C22⋊D53—24no—
1181C22⋊D53—24no—
1182C22⋊D53—24no—
1183C22⋊D53—44no—
1184C22⋊D53—44no—
1185C22⋊D53—44no—
1186C22⋊D53—44no—
1187C22⋊D53—44no—
1188C22⋊D53—42no—
1189C22⋊D53—44no—
1190C22⋊D53—42no—
1191C22⋊D53—42no—
1192C2×Dic53—22no—
1193C2×Dic53—22no—
1194C2×Dic53—41no—
1195C2×Dic53—42no—
1196C2×Dic53—42no—
1197C2×Dic53—42no—
1198C2×Dic53C2512yes—
1199C2×Dic53C2512yes—
1200C2×Dic53C2511yescharacteristic
1201C2×Dic53C2512yes—
1202C2×Dic53C2512yes—
1203C2×Dic53C2511yescharacteristic
1204C2×Dic53C2511yescharacteristic
1205C2×Dic53C2511yescharacteristic
1206C2×Dic53C2511yescharacteristic
1207C2×Dic53C2512yes—
1208C2×Dic53C2512yes—
1209C2×Dic53C2511yescharacteristic
1210D212—24no—
1211D212—28no—
1212D212—28no—
1213D212—22no—
1214D212—24no—
1215D212—24no—
1216D212—24no—
1217D212—22no—
1218D212—24no—
1219D212—44no—
1220D212—44no—
1221D212—44no—
1222D212—42no—
1223D212—44no—
1224D212—42no—
1225D212—44no—
1226D212—44no—
1227D212—44no—
1228D212—44no—
1229D212—44no—
1230D212—44no—
1231D212—42no—
1232D212—44no—
1233D212—42no—
1234D212—44no—
1235C4×D53—22no—
1236C4×D53—24no—
1237C4×D53—22no—
1238C4×D53—24no—
1239C4×D53—22no—
1240C4×D53—24no—
1241C4×D53—22no—
1242C4×D53—22no—
1243C4×D53—28no—
1244C4×D53—28no—
1245C4×D53—41no—
1246C4×D53—41no—
1247C4×D53—42no—
1248C4×D53—41no—
1249C4×D53—41no—
1250C4×D53—42no—
1251C4×D53—41no—
1252C4×D53—41no—
1253C4×D53—44no—
1254C4×D53—44no—
1255C4×D53—44no—
1256C4×D53—44no—
1257C4×D53—44no—
1258C4×D53—44no—
1259C4×D53—44no—
1260C4×D53—44no—
1261C4×D53—44no—
1262C4×D53—42no—
1263C4×D53—42no—
1264C4×D53—42no—
1265C4×D53—44no—
1266C4×D53H(5,𝔽2)14yes—
1267Dic106—22no—
1268Dic106—22no—
1269Dic106—24no—
1270Dic106—24no—
1271Dic106—44no—
1272Dic106—42no—
1273#62830—531nomaximal, Sylow
1274C22×C53—21no—
1275C22×C53—21no—
1276C22×C53—22no—
1277C22×C53—22no—
1278C22×C53—22no—
1279C22×C53—22no—
1280C22×C53—22no—
1281C22×C53—22no—
1282C22×C53#58512yes—
1283C22×C53C2611yescharacteristic
1284C2×D53—21no—
1285C2×D53—21no—
1286C2×D53—21no—
1287C2×D53—24no—
1288C2×D53—22no—
1289C2×D53—24no—
1290C2×D53—22no—
1291C2×D53—21no—
1292C2×D53—22no—
1293C2×D53—24no—
1294C2×D53—21no—
1295C2×D53—24no—
1296C2×D53—22no—
1297C2×D53—22no—
1298C2×D53—24no—
1299C2×D53—24no—
1300C2×D53—22no—
1301C2×D53—44no—
1302C2×D53—84no—
1303C2×D53—88no—
1304C2×D53—164no—
1305C2×D53—164no—
1306C2×D53C2×H(5,𝔽2)12yes—
1307C4×C53—22no—
1308C4×C53—22no—
1309C4×C53—24no—
1310C4×C53—21no—
1311C4×C53—24no—
1312C4×C53—22no—
1313C4×C53—22no—
1314C4×C53—22no—
1315C4×C53—22no—
1316C4×C53—21no—
1317C4×C53—21no—
1318C4×C53—21no—
1319C4×C53C2×H(5,𝔽2)12yes—
1320C4×C53#58512yes—
1321Dic53—22no—
1322Dic53—22no—
1323Dic53—21no—
1324Dic53—22no—
1325Dic53—21no—
1326Dic53—22no—
1327Dic53—21no—
1328Dic53—21no—
1329Dic53—22no—
1330Dic53—21no—
1331Dic53—22no—
1332Dic53C2×H(5,𝔽2)12yes—
1333#3562—532no—
1334#3562—532no—
1335#3560—534no—
1336#3552—531no—
1337#3552D5311yescharacteristic, complemented
1338#3551—534no—
1339#3547—532no—
1340#3546—532no—
1341#3543—531no—
1342#3543—531no—
1343#3534—534no—
1344#3520—532no—
1345#3519—532no—
1346#3519—532no—
1347#3519—532no—
1348#3517—531no—
1349#3517—531no—
1350#3514—531no—
1351#3514—532no—
1352#3514—531no—
1353#3514—532no—
1354#3512—532no—
1355#3507—531no—
1356#3506—531no—
1357#3505—534no—
1358#3500—532no—
1359#3497—531no—
1360#3496—531no—
1361#3494—532no—
1362#3494—532no—
1363#3489—532no—
1364#3488—532no—
1365#3444—531no—
1366C2×#532—531no—
1367C2×#529—531no—
1368C2×C53—22no—
1369C2×C53—42no—
1370C2×C53—42no—
1371C2×C53C22×H(5,𝔽2)11yescharacteristic
1372C2×C53C2×#58511yescharacteristic
1373C2×C53C2×#58511yescharacteristic
1374D53—22no—
1375D53—41no—
1376D53—44no—
1377D53—44no—
1378D53—42no—
1379D53—42no—
1380C2×2−1+4—532no—
1381C2×H(5,𝔽2)—532no—
1382C22×#41—532no—
1383#563—534no—
1384#563C2×D5314yescomplemented
1385#562—534no—
1386#562—534no—
1387#560—534no—
1388#560—534no—
1389#560—534no—
1390#560—534no—
1391#559—532no—
1392#559—532no—
1393#559—531no—
1394#559—531no—
1395#557—531no—
1396#557C2×D5311yescharacteristic, complemented
1397#556—531no—
1398#556—532no—
1399#556—532no—
1400#556—532no—
1401#556C2×D5311yescharacteristic, complemented
1402#555—534no—
1403#555—532no—
1404#555—534no—
1405#555—532no—
1406#555—532no—
1407#554—532no—
1408#554—532no—
1409#554C2×D5312yescomplemented
1410#553—534no—
1411#553—534no—
1412#553—534no—
1413#553—534no—
1414#553—534no—
1415#553—534no—
1416#553—534no—
1417#553—534no—
1418#553—534no—
1419#553—532no—
1420#553—534no—
1421#553—534no—
1422#553—532no—
1423#553—532no—
1424#553C2×D5312yescomplemented
1425#552—534no—
1426#552—534no—
1427#552—534no—
1428#551—534no—
1429#551—534no—
1430#551—534no—
1431#551—534no—
1432#551—534no—
1433#551—534no—
1434#551—534no—
1435#551—534no—
1436#550—532no—
1437#550—532no—
1438#550—532no—
1439#550—531no—
1440#550—531no—
1441#550—532no—
1442#550—531no—
1443#550—532no—
1444#550—531no—
1445D4×Q8—532no—
1446D4×Q8—531no—
1447D4×Q8—532no—
1448D4×Q8C2×D5312yescomplemented
1449D4×Q8C2×D5311yescharacteristic, complemented
1450#548—532no—
1451#548—532no—
1452#548—532no—
1453#548—534no—
1454#548—532no—
1455#548—534no—
1456#548—534no—
1457#548—532no—
1458#548C2×D5312yescomplemented
1459#547—534no—
1460#547—532no—
1461#547—531no—
1462#547—534no—
1463#547—532no—
1464#547—532no—
1465#547—532no—
1466#547C2×D5311yescharacteristic, complemented
1467#546—532no—
1468#546—534no—
1469#546—532no—
1470#546—534no—
1471#546—534no—
1472#546—534no—
1473#546—534no—
1474#546—534no—
1475#546—534no—
1476#546—532no—
1477#546—532no—
1478#546—534no—
1479#546—534no—
1480#546—532no—
1481#546—534no—
1482#546—532no—
1483#546—532no—
1484#546—534no—
1485#546—534no—
1486#546—532no—
1487#546—532no—
1488#546—534no—
1489#546—532no—
1490D42—532no—
1491D42—534no—
1492D42—532no—
1493D42—532no—
1494D42—532no—
1495D42—534no—
1496D42—531no—
1497D42—531no—
1498D42—532no—
1499#544—532no—
1500#544C2×D5312yescomplemented
1501#542—532no—
1502#542—532no—
1503#542—534no—
1504#542—532no—
1505#542—534no—
1506#542C2×D5312yescomplemented
1507#541—532no—
1508#541C2×D5312yescomplemented
1509#540—532no—
1510#540—532no—
1511#540—532no—
1512#540—534no—
1513#540—534no—
1514#540—534no—
1515#540—534no—
1516#540—532no—
1517#540—532no—
1518#540—532no—
1519#539—534no—
1520#539—534no—
1521#539—534no—
1522#539—534no—
1523#539C2×D5314yescomplemented
1524#538—534no—
1525#538—534no—
1526#538—534no—
1527#538—534no—
1528#538—534no—
1529#538—534no—
1530#538—534no—
1531#538—534no—
1532#538—534no—
1533#538—534no—
1534#538—534no—
1535#537—532no—
1536#537—534no—
1537#537—532no—
1538#537—534no—
1539#537—534no—
1540#536—532no—
1541#536—534no—
1542#536—532no—
1543#536C2×D5312yescomplemented
1544#535—532no—
1545#535—534no—
1546#535—532no—
1547#535—532no—
1548#535—532no—
1549#535—532no—
1550#534—534no—
1551#534—534no—
1552#534—534no—
1553#533—531no—
1554#533—531no—
1555#533—531no—
1556#532—532no—
1557#532—532no—
1558#532—531no—
1559#532—531no—
1560#532—532no—
1561#532—531no—
1562#532—531no—
1563#532—532no—
1564#532—532no—
1565#532—532no—
1566#532—532no—
1567#532—532no—
1568#532—532no—
1569#532—531no—
1570#532—531no—
1571#532—531no—
1572#532—532no—
1573C2×C4⋊Q8C2×D5311yescharacteristic, complemented
1574C2×#127—531no—
1575#529—532no—
1576#529—532no—
1577#529—532no—
1578#529—531no—
1579#529—531no—
1580#529—532no—
1581#529—531no—
1582#529—531no—
1583#529—532no—
1584#529—532no—
1585#529—531no—
1586#529—532no—
1587#529—532no—
1588#529—531no—
1589#529—531no—
1590#529—532no—
1591#529—532no—
1592#529—532no—
1593#529—532no—
1594#529—531no—
1595#529—532no—
1596#529—532no—
1597#529—531no—
1598#529—531no—
1599#529C2×D5311yescharacteristic, complemented
1600#529C2×D5311yescharacteristic, complemented
1601C2×#126—532no—
1602C2×#125—531no—
1603C2×#124—532no—
1604C2×#124—532no—
1605C2×#124—531no—
1606C2×#124—532no—
1607#525—532no—
1608#525—531no—
1609#525—532no—
1610#525—531no—
1611#525—532no—
1612#525—534no—
1613#525—534no—
1614#525—532no—
1615C2×#123—532no—
1616C2×C22⋊Q8—531no—
1617C2×C22⋊Q8—534no—
1618C2×#121—531no—
1619C2×#121—534no—
1620C2×#121—532no—
1621C2×#121—532no—
1622C2×#121—532no—
1623C2×#121—532no—
1624#520—532no—
1625#520—532no—
1626#520—532no—
1627#520—532no—
1628#518—532no—
1629#518—534no—
1630#518—534no—
1631#518—532no—
1632C4×#41—531no—
1633C4×#41—532no—
1634C4×#41—531no—
1635C4×#41—532no—
1636C2×C4×Q8—531no—
1637C2×C4×D4—531no—
1638C2×C4×D4—532no—
1639C2×C4×D4—532no—
1640C2×C4×D4—532no—
1641C2×#117—532no—
1642C22×C42—531no—
1643C53#6283011yescharacteristic, complemented, Sylow
16442−1+4—2128no—
1645H(5,𝔽2)—2128no—
1646C2×#41—532no—
1647C2×#41—532no—
1648C2×#41—531no—
1649C2×#41—532no—
1650C2×#41—534no—
1651C2×#41—534no—
1652C2×#41—532no—
1653C2×#41—532no—
1654C2×#41—532no—
1655C2×#41—532no—
1656C2×#41—534no—
1657C2×#41—532no—
1658C2×#41—531no—
1659C2×#41—532no—
1660C2×#41—532no—
1661C2×#41—534no—
1662C2×#41—534no—
1663C2×#41—532no—
1664C2×#41—534no—
1665C2×#41—2128no—
1666C2×#41C22×D5312yes—
1667C22×Q8—531no—
1668C22×Q8—534no—
1669C22×Q8—532no—
1670C22×Q8C22×D5312yes—
1671C22×Q8C22×D5312yes—
1672C22×D4—531no—
1673C22×D4—532no—
1674C22×D4—534no—
1675C22×D4—534no—
1676C22×D4—532no—
1677C22×D4—534no—
1678C22×D4—534no—
1679C22×D4—532no—
1680C22×D4—532no—
1681C22×D4—532no—
1682C22×D4—532no—
1683C22×D4—534no—
1684C22×D4—534no—
1685C22×D4—532no—
1686C22×D4—532no—
1687C23×C4—531no—
1688C23×C4—532no—
1689C23×C4—531no—
1690C23×C4—534no—
1691C23×C4—531no—
1692C4⋊Q8—531no—
1693C4⋊Q8—532no—
1694C4⋊Q8—534no—
1695C4⋊Q8—531no—
1696C4⋊Q8—531no—
1697C4⋊Q8—532no—
1698C4⋊Q8C22×D5312yes—
1699C4⋊Q8C22×D5312yes—
1700C4⋊Q8C22×D5311yescharacteristic
1701C4⋊Q8C22×D5311yescharacteristic
1702C4⋊Q8C22×D5312yes—
1703C4⋊Q8C22×D5312yes—
1704C4⋊Q8C22×D5312yes—
1705C4⋊Q8C22×D5314yes—
1706#127—531no—
1707#127—532no—
1708#127—532no—
1709#127—534no—
1710#127—532no—
1711#127—532no—
1712#127—531no—
1713#127—531no—
1714#127—532no—
1715#127—532no—
1716#127—532no—
1717#127—534no—
1718#126—532no—
1719#126—532no—
1720#126—532no—
1721#126—532no—
1722#126—534no—
1723#126—534no—
1724#126—534no—
1725#126—534no—
1726#126—534no—
1727#126—534no—
1728#126—534no—
1729#126—534no—
1730#126—534no—
1731#126—534no—
1732#126—532no—
1733#126—532no—
1734#126—532no—
1735#126—532no—
1736#126—532no—
1737#126—532no—
1738#126—534no—
1739#126C22×D5312yes—
1740#126C22×D5312yes—
1741#126C22×D5314yes—
1742#126C22×D5314yes—
1743#126C22×D5314yes—
1744#125—531no—
1745#125—531no—
1746#125—532no—
1747#125—532no—
1748#125—532no—
1749#125—532no—
1750#125—532no—
1751#125—534no—
1752#125—534no—
1753#125—534no—
1754#125—531no—
1755#125—531no—
1756#125C22×D5311yescharacteristic
1757#125C22×D5311yescharacteristic
1758#125C22×D5312yes—
1759#125C22×D5314yes—
1760#125C22×D5314yes—
1761#125C22×D5314yes—
1762#124—532no—
1763#124—531no—
1764#124—532no—
1765#124—534no—
1766#124—532no—
1767#124—532no—
1768#124—534no—
1769#124—532no—
1770#124—532no—
1771#124—534no—
1772#124—534no—
1773#124—532no—
1774#124—534no—
1775#124—534no—
1776#124—534no—
1777#124—531no—
1778#124—532no—
1779#124—532no—
1780#124—534no—
1781#124—534no—
1782#124—532no—
1783#124—532no—
1784#124—534no—
1785#124—534no—
1786#124—531no—
1787#124—532no—
1788#124—531no—
1789#124—532no—
1790#124—534no—
1791#124—534no—
1792#124C22×D5311yescharacteristic
1793#124C22×D5312yes—
1794#124C22×D5311yescharacteristic
1795#124C22×D5314yes—
1796#123—532no—
1797#123—532no—
1798#123—532no—
1799#123—534no—
1800#123—532no—
1801#123—532no—
1802#123—532no—
1803#123—532no—
1804#123—534no—
1805#123—534no—
1806#123—534no—
1807#123—534no—
1808#123—534no—
1809#123—534no—
1810#123—534no—
1811#123—534no—
1812#123—534no—
1813#123—534no—
1814#123—534no—
1815#123—534no—
1816#123—534no—
1817#123—534no—
1818#123—534no—
1819#123—534no—
1820#123—534no—
1821#123—534no—
1822#123—534no—
1823#123—534no—
1824#123—534no—
1825#123—534no—
1826#123—532no—
1827#123—532no—
1828#123—532no—
1829#123—532no—
1830#123—532no—
1831#123—534no—
1832#123—534no—
1833#123—534no—
1834#123—534no—
1835#123—534no—
1836#123—534no—
1837#123C22×D5312yes—
1838#123C22×D5312yes—
1839#123C22×D5314yes—
1840#123C22×D5314yes—
1841#123C22×D5314yes—
1842C22⋊Q8—531no—
1843C22⋊Q8—534no—
1844C22⋊Q8—531no—
1845C22⋊Q8—532no—
1846C22⋊Q8—532no—
1847C22⋊Q8—534no—
1848C22⋊Q8—534no—
1849C22⋊Q8—534no—
1850C22⋊Q8—531no—
1851C22⋊Q8—534no—
1852C22⋊Q8—531no—
1853C22⋊Q8—532no—
1854C22⋊Q8—531no—
1855C22⋊Q8—534no—
1856C22⋊Q8—534no—
1857C22⋊Q8—534no—
1858C22⋊Q8—531no—
1859C22⋊Q8—532no—
1860C22⋊Q8—532no—
1861C22⋊Q8—532no—
1862C22⋊Q8—534no—
1863C22⋊Q8—534no—
1864C22⋊Q8—532no—
1865C22⋊Q8—534no—
1866C22⋊Q8—534no—
1867C22⋊Q8—534no—
1868C22⋊Q8—534no—
1869C22⋊Q8—534no—
1870C22⋊Q8—534no—
1871C22⋊Q8—532no—
1872C22⋊Q8—532no—
1873C22⋊Q8C22×D5311yescharacteristic
1874C22⋊Q8C22×D5314yes—
1875C22⋊Q8C22×D5311yescharacteristic
1876C22⋊Q8C22×D5312yes—
1877C22⋊Q8C22×D5312yes—
1878C22⋊Q8C22×D5312yes—
1879C22⋊Q8C22×D5314yes—
1880C22⋊Q8C22×D5314yes—
1881C22⋊Q8C22×D5314yes—
1882C22⋊Q8C22×D5314yes—
1883C22⋊Q8C22×D5314yes—
1884#121—532no—
1885#121—532no—
1886#121—531no—
1887#121—531no—
1888#121—534no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—531no—
1893#121—534no—
1894#121—532no—
1895#121—531no—
1896#121—532no—
1897#121—532no—
1898#121—532no—
1899#121—534no—
1900#121—534no—
1901#121—534no—
1902#121—532no—
1903#121—531no—
1904#121—532no—
1905#121—531no—
1906#121—532no—
1907#121—532no—
1908#121—532no—
1909#121—534no—
1910#121—532no—
1911#121—534no—
1912#121—534no—
1913#121—532no—
1914#121—532no—
1915#121—534no—
1916#121—534no—
1917#121—534no—
1918#121—534no—
1919#121—532no—
1920#121—532no—
1921#121—532no—
1922#121—532no—
1923#121—532no—
1924#121—534no—
1925#121—534no—
1926#121—534no—
1927#121—534no—
1928#121—534no—
1929#121—534no—
1930#121—534no—
1931#121—534no—
1932#121—534no—
1933#121—534no—
1934#121—534no—
1935#121—534no—
1936#121—534no—
1937#121—534no—
1938#121—534no—
1939#121—532no—
1940#121—534no—
1941#121—534no—
1942#121—534no—
1943#121—532no—
1944#121—532no—
1945#121—532no—
1946#121—534no—
1947#121—534no—
1948#121—534no—
1949#121—534no—
1950#121—534no—
1951#121—534no—
1952#121—534no—
1953#121—534no—
1954#121—534no—
1955#121—534no—
1956#121—534no—
1957#121—534no—
1958#121—534no—
1959#121—534no—
1960#121C22×D5311yescharacteristic
1961#121C22×D5314yes—
1962#121C22×D5312yes—
1963#121C22×D5311yescharacteristic
1964#120—532no—
1965#120—534no—
1966#120—534no—
1967#120—534no—
1968#120—532no—
1969#120—534no—
1970#120—534no—
1971#120—534no—
1972#120—534no—
1973#120—534no—
1974#120—534no—
1975#120—534no—
1976#120—534no—
1977#120—534no—
1978#120—534no—
1979#120—534no—
1980#120—534no—
1981#120—534no—
1982#120—534no—
1983#120—534no—
1984C4×Q8—531no—
1985C4×Q8—531no—
1986C4×Q8—532no—
1987C4×Q8—532no—
1988C4×Q8—532no—
1989C4×Q8—531no—
1990C4×Q8—531no—
1991C4×Q8—532no—
1992C4×Q8—532no—
1993C4×Q8—532no—
1994C4×Q8—532no—
1995C4×Q8—532no—
1996C4×Q8—531no—
1997C4×Q8—531no—
1998C4×Q8—532no—
1999C4×Q8C22×D5311yescharacteristic
2000C4×Q8C22×D5311yescharacteristic
2001C4×Q8C22×D5312yes—
2002C4×Q8C22×D5312yes—
2003C4×Q8C22×D5312yes—
2004C4×D4—532no—
2005C4×D4—531no—
2006C4×D4—532no—
2007C4×D4—531no—
2008C4×D4—532no—
2009C4×D4—532no—
2010C4×D4—532no—
2011C4×D4—532no—
2012C4×D4—532no—
2013C4×D4—532no—
2014C4×D4—534no—
2015C4×D4—534no—
2016C4×D4—534no—
2017C4×D4—534no—
2018C4×D4—534no—
2019C4×D4—534no—
2020C4×D4—534no—
2021C4×D4—532no—
2022C4×D4—532no—
2023C4×D4—532no—
2024C4×D4—531no—
2025C4×D4—534no—
2026C4×D4—532no—
2027C4×D4—532no—
2028C4×D4—534no—
2029C4×D4—534no—
2030C4×D4—532no—
2031C4×D4—532no—
2032C4×D4—532no—
2033C4×D4—534no—
2034C4×D4—532no—
2035C4×D4—531no—
2036C4×D4—532no—
2037C4×D4—532no—
2038C4×D4—532no—
2039C4×D4—532no—
2040C4×D4—534no—
2041C4×D4—534no—
2042C4×D4—532no—
2043C4×D4—534no—
2044C4×D4—534no—
2045C4×D4—532no—
2046C4×D4—532no—
2047C4×D4—534no—
2048C4×D4—532no—
2049C4×D4—532no—
2050C4×D4—532no—
2051C4×D4—532no—
2052C4×D4—532no—
2053C4×D4—532no—
2054C4×D4—532no—
2055C4×D4—532no—
2056C4×D4—532no—
2057C4×D4—532no—
2058C4×D4—532no—
2059C4×D4—534no—
2060C4×D4—534no—
2061C4×D4—534no—
2062C4×D4—531no—
2063C4×D4—532no—
2064C4×D4—532no—
2065C4×D4—531no—
2066C4×D4—534no—
2067C4×D4—534no—
2068C4×D4—534no—
2069C4×D4—534no—
2070C4×D4—532no—
2071C4×D4—534no—
2072C4×D4—534no—
2073C4×D4—534no—
2074C4×D4—532no—
2075C4×D4—532no—
2076C4×D4—532no—
2077C4×D4C22×D5312yes—
2078C4×D4C22×D5311yescharacteristic
2079C4×D4C22×D5312yes—
2080C4×D4C22×D5311yescharacteristic
2081C4×D4C22×D5314yes—
2082C4×D4C22×D5314yes—
2083C4×D4C22×D5312yes—
2084#117—532no—
2085#117—532no—
2086#117—532no—
2087#117—531no—
2088#117—531no—
2089#117—532no—
2090#117—532no—
2091#117—532no—
2092#117—534no—
2093#117—534no—
2094#117—534no—
2095#117—532no—
2096#117—532no—
2097#117—532no—
2098#117—532no—
2099#117—532no—
2100#117—532no—
2101#117—532no—
2102#117—532no—
2103#117—532no—
2104#117—534no—
2105#117—534no—
2106#117—534no—
2107#117—534no—
2108#117—534no—
2109#117C22×D5312yes—
2110#117C22×D5312yes—
2111#117C22×D5312yes—
2112C2×C4⋊C4—532no—
2113C2×C4⋊C4—532no—
2114C2×C4⋊C4—531no—
2115C2×C4⋊C4—532no—
2116C2×C4⋊C4—531no—
2117C2×C4⋊C4—532no—
2118C2×C4⋊C4—534no—
2119C2×C4⋊C4—532no—
2120C2×C4⋊C4—534no—
2121C2×C4⋊C4—534no—
2122C2×C4⋊C4—534no—
2123C2×C4⋊C4C22×D5312yes—
2124C2×C4⋊C4C22×D5312yes—
2125C2×C4⋊C4C22×D5312yes—
2126C2×C22⋊C4—534no—
2127C2×C22⋊C4—534no—
2128C2×C22⋊C4—534no—
2129C2×C22⋊C4—534no—
2130C2×C22⋊C4—534no—
2131C2×C22⋊C4—532no—
2132C2×C22⋊C4—532no—
2133C2×C22⋊C4—532no—
2134C2×C22⋊C4—532no—
2135C2×C22⋊C4—532no—
2136C2×C22⋊C4—534no—
2137C2×C22⋊C4—534no—
2138C2×C22⋊C4—534no—
2139C2×C22⋊C4—534no—
2140C2×C22⋊C4—534no—
2141C2×C22⋊C4—534no—
2142C2×C22⋊C4—534no—
2143C2×C42—531no—
2144C2×C42—531no—
2145C2×C42—532no—
2146C2×C42—531no—
2147C2×C42—531no—
2148C2×C42—532no—
2149C2×C42—531no—
2150C2×C42—532no—
2151C2×C42—531no—
2152C2×C42—531no—
2153C2×C42—531no—
2154C2×C42—531no—
2155C2×C42—531no—
2156C2×C42—531no—
2157C2×C42C22×D5311yescharacteristic
2158C24—531no—
2159C24—532no—
2160C24—534no—
2161C24—534no—
2162C24—534no—
2163#41—44no—
2164#41—1068no—
2165#41—1068no—
2166#41—1068no—
2167#41—2124no—
2168#41—2124no—
2169#41—2128no—
2170#41—2128no—
2171#41—2128no—
2172#41—2128no—
2173#41—2124no—
2174#41—2122no—
2175#41—2128no—
2176#41—2128no—
2177#41—2124no—
2178#41—2122no—
2179#41—2124no—
2180#41—2124no—
2181#41—2124no—
2182#41—2124no—
2183C2×Q8—44no—
2184C2×Q8—44no—
2185C2×Q8—531no—
2186C2×Q8—532no—
2187C2×Q8—532no—
2188C2×Q8—531no—
2189C2×Q8—532no—
2190C2×Q8—534no—
2191C2×Q8—1064no—
2192C2×Q8—2124no—
2193C2×Q8—2128no—
2194C2×Q8C23×D5311yescharacteristic
2195C2×Q8C23×D5311yescharacteristic
2196C2×Q8C23×D5312yes—
2197C2×Q8C23×D5312yes—
2198C2×Q8C23×D5314yes—
2199C2×Q8C23×D5314yes—
2200C2×D4—532no—
2201C2×D4—532no—
2202C2×D4—532no—
2203C2×D4—532no—
2204C2×D4—532no—
2205C2×D4—532no—
2206C2×D4—534no—
2207C2×D4—534no—
2208C2×D4—532no—
2209C2×D4—534no—
2210C2×D4—532no—
2211C2×D4—534no—
2212C2×D4—534no—
2213C2×D4—534no—
2214C2×D4—532no—
2215C2×D4—531no—
2216C2×D4—532no—
2217C2×D4—534no—
2218C2×D4—532no—
2219C2×D4—534no—
2220C2×D4—531no—
2221C2×D4—532no—
2222C2×D4—532no—
2223C2×D4—534no—
2224C2×D4—532no—
2225C2×D4—534no—
2226C2×D4—532no—
2227C2×D4—534no—
2228C2×D4—534no—
2229C2×D4—534no—
2230C2×D4—532no—
2231C2×D4—534no—
2232C2×D4—532no—
2233C2×D4—534no—
2234C2×D4—534no—
2235C2×D4—534no—
2236C2×D4—534no—
2237C2×D4—534no—
2238C2×D4—534no—
2239C2×D4—1064no—
2240C2×D4—2124no—
2241C2×D4—2124no—
2242C2×D4—2124no—
2243C2×D4—2124no—
2244C2×D4—2124no—
2245C2×D4—2128no—
2246C2×D4—2128no—
2247C2×D4—2124no—
2248C2×D4—2124no—
2249C2×D4—2128no—
2250C2×D4—2124no—
2251C2×D4—2128no—
2252C2×D4—2128no—
2253C2×D4—2128no—
2254C2×D4C23×D5312yes—
2255C2×D4C23×D5312yes—
2256C2×D4C23×D5311yescharacteristic
2257C2×D4C23×D5311yescharacteristic
2258C2×D4C23×D5314yes—
2259C22×C4—531no—
2260C22×C4—531no—
2261C22×C4—531no—
2262C22×C4—531no—
2263C22×C4—532no—
2264C22×C4—532no—
2265C22×C4—532no—
2266C22×C4—531no—
2267C22×C4—531no—
2268C22×C4—531no—
2269C22×C4—531no—
2270C22×C4—531no—
2271C22×C4—532no—
2272C22×C4—532no—
2273C22×C4—532no—
2274C22×C4—534no—
2275C22×C4—534no—
2276C22×C4—531no—
2277C22×C4—531no—
2278C22×C4—531no—
2279C22×C4—531no—
2280C22×C4—531no—
2281C22×C4—531no—
2282C22×C4—532no—
2283C22×C4—532no—
2284C22×C4—532no—
2285C22×C4—532no—
2286C22×C4—532no—
2287C22×C4—534no—
2288C22×C4—534no—
2289C22×C4—534no—
2290C22×C4—534no—
2291C22×C4—534no—
2292C22×C4—534no—
2293C22×C4—534no—
2294C22×C4—534no—
2295C22×C4—534no—
2296C22×C4—534no—
2297C22×C4—1064no—
2298C22×C4—2122no—
2299C22×C4—2124no—
2300C22×C4—2122no—
2301C22×C4—2128no—
2302C22×C4C23×D5311yescharacteristic
2303C22×C4C23×D5311yescharacteristic
2304C22×C4C23×D5311yescharacteristic
2305C22×C4C23×D5312yes—
2306C22×C4C23×D5312yes—
2307C22×C4C23×D5314yes—
2308C22×C4C23×D5314yes—
2309C22×C4C23×D5314yes—
2310C4⋊C4—532no—
2311C4⋊C4—532no—
2312C4⋊C4—532no—
2313C4⋊C4—532no—
2314C4⋊C4—532no—
2315C4⋊C4—532no—
2316C4⋊C4—531no—
2317C4⋊C4—532no—
2318C4⋊C4—532no—
2319C4⋊C4—534no—
2320C4⋊C4—532no—
2321C4⋊C4—532no—
2322C4⋊C4—532no—
2323C4⋊C4—532no—
2324C4⋊C4—532no—
2325C4⋊C4—532no—
2326C4⋊C4—531no—
2327C4⋊C4—531no—
2328C4⋊C4—532no—
2329C4⋊C4—534no—
2330C4⋊C4—534no—
2331C4⋊C4—534no—
2332C4⋊C4—532no—
2333C4⋊C4—532no—
2334C4⋊C4—532no—
2335C4⋊C4—531no—
2336C4⋊C4—532no—
2337C4⋊C4—532no—
2338C4⋊C4—534no—
2339C4⋊C4—534no—
2340C4⋊C4—532no—
2341C4⋊C4—532no—
2342C4⋊C4—532no—
2343C4⋊C4—532no—
2344C4⋊C4—532no—
2345C4⋊C4—532no—
2346C4⋊C4C23×D5312yes—
2347C4⋊C4C23×D5314yes—
2348C4⋊C4C23×D5312yes—
2349C4⋊C4C23×D5312yes—
2350C4⋊C4C23×D5311yescharacteristic
2351C4⋊C4C23×D5311yescharacteristic
2352C4⋊C4C23×D5312yes—
2353C4⋊C4C23×D5314yes—
2354C4⋊C4C23×D5314yes—
2355C4⋊C4C23×D5314yes—
2356C4⋊C4C23×D5312yes—
2357C4⋊C4C23×D5311yescharacteristic
2358C4⋊C4C23×D5312yes—
2359C4⋊C4C23×D5312yes—
2360C4⋊C4C23×D5314yes—
2361C4⋊C4C23×D5314yes—
2362C4⋊C4C23×D5312yes—
2363C4⋊C4C23×D5311yescharacteristic
2364C4⋊C4C23×D5314yes—
2365C4⋊C4C23×D5314yes—
2366C4⋊C4C23×D5312yes—
2367C4⋊C4C23×D5312yes—
2368C4⋊C4C23×D5312yes—
2369C4⋊C4C23×D5312yes—
2370C22⋊C4—532no—
2371C22⋊C4—532no—
2372C22⋊C4—532no—
2373C22⋊C4—532no—
2374C22⋊C4—532no—
2375C22⋊C4—532no—
2376C22⋊C4—532no—
2377C22⋊C4—532no—
2378C22⋊C4—532no—
2379C22⋊C4—534no—
2380C22⋊C4—534no—
2381C22⋊C4—532no—
2382C22⋊C4—534no—
2383C22⋊C4—532no—
2384C22⋊C4—532no—
2385C22⋊C4—532no—
2386C22⋊C4—534no—
2387C22⋊C4—534no—
2388C22⋊C4—534no—
2389C22⋊C4—534no—
2390C22⋊C4—534no—
2391C22⋊C4—534no—
2392C22⋊C4—532no—
2393C22⋊C4—532no—
2394C22⋊C4—534no—
2395C22⋊C4—534no—
2396C22⋊C4—534no—
2397C22⋊C4—532no—
2398C22⋊C4—532no—
2399C22⋊C4—534no—
2400C22⋊C4—534no—
2401C22⋊C4—534no—
2402C22⋊C4—532no—
2403C22⋊C4—534no—
2404C22⋊C4—534no—
2405C22⋊C4—532no—
2406C22⋊C4—532no—
2407C22⋊C4—534no—
2408C22⋊C4—532no—
2409C22⋊C4—532no—
2410C22⋊C4—534no—
2411C22⋊C4—534no—
2412C22⋊C4—532no—
2413C22⋊C4—532no—
2414C22⋊C4—532no—
2415C22⋊C4—532no—
2416C22⋊C4—534no—
2417C22⋊C4—534no—
2418C22⋊C4—532no—
2419C22⋊C4—532no—
2420C22⋊C4—534no—
2421C22⋊C4—534no—
2422C22⋊C4C23×D5312yes—
2423C22⋊C4C23×D5312yes—
2424C22⋊C4C23×D5314yes—
2425C22⋊C4C23×D5312yes—
2426C22⋊C4C23×D5312yes—
2427C22⋊C4C23×D5312yes—
2428C22⋊C4C23×D5312yes—
2429C22⋊C4C23×D5314yes—
2430C22⋊C4C23×D5314yes—
2431C22⋊C4C23×D5314yes—
2432C22⋊C4C23×D5312yes—
2433C22⋊C4C23×D5312yes—
2434C22⋊C4C23×D5312yes—
2435C22⋊C4C23×D5312yes—
2436C42—531no—
2437C42—531no—
2438C42—531no—
2439C42—531no—
2440C42—531no—
2441C42—531no—
2442C42—531no—
2443C42—531no—
2444C42—531no—
2445C42—531no—
2446C42—531no—
2447C42—531no—
2448C42—532no—
2449C42—532no—
2450C42—532no—
2451C42—532no—
2452C42—532no—
2453C42—532no—
2454C42—532no—
2455C42—532no—
2456C42—534no—
2457C42—534no—
2458C42C23×D5311yescharacteristic
2459C42C23×D5311yescharacteristic
2460C42C23×D5311yescharacteristic
2461C42C23×D5311yescharacteristic
2462C42C23×D5312yes—
2463C42C23×D5312yes—
2464C42C23×D5314yes—
2465C42C23×D5314yes—
2466C23—531no—
2467C23—534no—
2468C23—532no—
2469C23—532no—
2470C23—531no—
2471C23—534no—
2472C23—1064no—
2473C23—1062no—
2474C23—1068no—
2475C23—1062no—
2476C23—2124no—
2477C23—2124no—
2478C23—2124no—
2479C23—2124no—
2480C23—2124no—
2481C23—2124no—
2482C23—2124no—
2483C23—2122no—
2484C23—2124no—
2485C23—2122no—
2486C23—2121no—
2487C23C24×D5312yes—
2488C23C24×D5312yes—
2489C23C24×D5311yescharacteristic
2490Q8—22no—
2491Q8—24no—
2492Q8—24no—
2493Q8—22no—
2494Q8—44no—
2495Q8—44no—
2496Q8—1064no—
2497Q8—1064no—
2498Q8—1062no—
2499Q8—1062no—
2500Q8—2124no—
2501Q8—2122no—
2502D4—24no—
2503D4—24no—
2504D4—22no—
2505D4—22no—
2506D4—44no—
2507D4—1068no—
2508D4—1064no—
2509D4—1068no—
2510D4—1064no—
2511D4—1064no—
2512D4—1064no—
2513D4—1064no—
2514D4—1064no—
2515D4—1062no—
2516D4—1064no—
2517D4—1064no—
2518D4—1064no—
2519D4—1062no—
2520D4—1064no—
2521D4—2124no—
2522D4—2124no—
2523D4—2122no—
2524D4—2124no—
2525D4—2122no—
2526D4—2122no—
2527D4—2124no—
2528D4—2124no—
2529D4—2124no—
2530D4—2124no—
2531D4—2124no—
2532D4—2124no—
2533D4—2124no—
2534D4—2122no—
2535D4—2124no—
2536D4—2124no—
2537D4—2124no—
2538D4—2124no—
2539D4—2122no—
2540D4—2124no—
2541D4—2124no—
2542D4—2122no—
2543D4—2124no—
2544D4—2122no—
2545D4—2124no—
2546C2×C4—22no—
2547C2×C4—22no—
2548C2×C4—24no—
2549C2×C4—22no—
2550C2×C4—24no—
2551C2×C4—44no—
2552C2×C4—44no—
2553C2×C4—44no—
2554C2×C4—531no—
2555C2×C4—534no—
2556C2×C4—531no—
2557C2×C4—531no—
2558C2×C4—531no—
2559C2×C4—531no—
2560C2×C4—532no—
2561C2×C4—532no—
2562C2×C4—532no—
2563C2×C4—531no—
2564C2×C4—532no—
2565C2×C4—532no—
2566C2×C4—532no—
2567C2×C4—1062no—
2568C2×C4—1068no—
2569C2×C4—1068no—
2570C2×C4—1062no—
2571C2×C4—1064no—
2572C2×C4—1062no—
2573C2×C4—1062no—
2574C2×C4—1062no—
2575C2×C4—1064no—
2576C2×C4—1062no—
2577C2×C4—1064no—
2578C2×C4—1062no—
2579C2×C4—2122no—
2580C2×C4—2122no—
2581C2×C4—2121no—
2582C2×C4—2121no—
2583C2×C4—2121no—
2584C2×C4—2121no—
2585C2×C4—2121no—
2586C2×C4—2121no—
2587C2×C4—2124no—
2588C2×C4—2124no—
2589C2×C4—2122no—
2590C2×C4—2124no—
2591C2×C4—2124no—
2592C2×C4—2124no—
2593C2×C4—2124no—
2594C2×C4—2124no—
2595C2×C4—2124no—
2596C2×C4—2124no—
2597C2×C4—2122no—
2598C2×C4—2122no—
2599C2×C4—2124no—
2600C2×C4—2121no—
2601C2×C4—2122no—
2602C2×C4—2122no—
2603C2×C4—2122no—
2604C2×C4C24×D5311yescharacteristic
2605C2×C4C24×D5311yescharacteristic
2606C2×C4C24×D5311yescharacteristic
2607C2×C4C24×D5311yescharacteristic
2608C2×C4C24×D5312yes—
2609C2×C4C24×D5312yes—
2610C2×C4C24×D5312yes—
2611C2×C4C24×D5312yes—
2612C2×C4C24×D5314yes—
2613C2×C4C24×D5312yes—
2614C2×C4C24×D5314yes—
2615C2×C4C24×D5312yes—
2616C2×C4C24×D5311yescharacteristic
2617C2×C4C24×D5311yescharacteristic
2618C22—21no—
2619C22—21no—
2620C22—22no—
2621C22—22no—
2622C22—22no—
2623C22—22no—
2624C22—22no—
2625C22—22no—
2626C22—532no—
2627C22—8484no—
2628C22—8484no—
2629C22—1061no—
2630C22—1061no—
2631C22—1061no—
2632C22—1064no—
2633C22—1062no—
2634C22—1064no—
2635C22—1062no—
2636C22—1061no—
2637C22—1062no—
2638C22—1064no—
2639C22—1061no—
2640C22—1064no—
2641C22—1062no—
2642C22—1062no—
2643C22—1062no—
2644C22—1064no—
2645C22—1064no—
2646C22—4248no—
2647C22—4244no—
2648C22—2124no—
2649C22#1681146012yes—
2650C22C25×D5311yescharacteristic
2651C4—22no—
2652C4—21no—
2653C4—24no—
2654C4—24no—
2655C4—22no—
2656C4—22no—
2657C4—21no—
2658C4—21no—
2659C4—21no—
2660C4—22no—
2661C4—22no—
2662C4—22no—
2663C4—532no—
2664C4—1061no—
2665C4—1062no—
2666C4—1062no—
2667C4—1061no—
2668C4—1061no—
2669C4—1061no—
2670C4—1062no—
2671C4—1061no—
2672C4—1062no—
2673C4—1062no—
2674C4—1062no—
2675C4H(5,𝔽2)×D5312yes—
2676C4#1681146012yes—
2677C2—22no—
2678C2—42no—
2679C2—42no—
2680C2—1062no—
2681C2—2124no—
2682C2—2122no—
2683C2—2122no—
2684C2—2124no—
2685C2—2121no—
2686C2C2×H(5,𝔽2)×D5311yescharacteristic
2687C2C2×#1681146011yescharacteristic
2688C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3552C2
hypercenter#3552D53
hypocenterC53#62830
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #20289309C2semidirect
2. #20289291C2semidirect
3. #20289258C2semidirect
4. #20289156C2semidirect
5. #20289140C2semidirect
6. #20289101C2semidirect
7. #20289084C2semidirect
8. #20289045C2semidirect
9. #20289045C2semidirect
10. #20288903C2semidirect
11. #20288760C2semidirect
12. #20288748C2semidirect
13. #20288743C2semidirect
14. #20288740C2semidirect
15. #20288722C2semidirect
16. #20288720C2semidirect
17. #20288679C2semidirect
18. #20288677C2semidirect
19. #20288677C2semidirect
20. #20288669C2semidirect
21. #20288638C2semidirect
22. #20288581C2semidirect
23. #20288568C2semidirect
24. #20288547C2semidirect
25. #20288504C2semidirect
26. #20288485C2semidirect
27. #20288473C2semidirect
28. #20288453C2semidirect
29. #20288448C2semidirect
30. #20288392C2semidirect
31. #20288381C2semidirect
32. #20288009C2semidirect
33. C2×#16811174C2semidirect
34. #529×D53C2semidirect
35. C53×#3552C2semidirect
36. C2×#13133265C22semidirect
37. C2×#13133263C22semidirect
38. C22×#11719949C22semidirect
39. #16811372C22semidirect
40. #16811371C22semidirect
41. #16811369C22semidirect
42. #16811364C22semidirect
43. #16811364C22semidirect
44. #16811364C22semidirect
45. #16811363C22semidirect
46. #16811358C22semidirect
47. #16811358C22semidirect
48. #16811358C22semidirect
49. #16811355C22semidirect
50. #16811348C22semidirect
51. #16811347C22semidirect
52. #16811347C22semidirect
53. #16811345C22semidirect
54. #16811345C22semidirect
55. #16811339C22semidirect
56. #16811339C22semidirect
57. #16811336C22semidirect
58. #16811336C22semidirect
59. #16811335C22semidirect
60. #16811329C22semidirect
61. #16811328C22semidirect
62. #16811326C22semidirect
63. #16811326C22semidirect
64. #16811326C22semidirect
65. #16811326C22semidirect
66. #16811326C22semidirect
67. #16811324C22semidirect
68. #16811324C22semidirect
69. #16811324C22semidirect
70. #16811324C22semidirect
71. #16811324C22semidirect
72. #16811321C22semidirect
73. #16811321C22semidirect
74. #16811318C22semidirect
75. #16811318C22semidirect
76. #16811305C22semidirect
77. #16811305C22semidirect
78. #16811305C22semidirect
79. #16811302C22semidirect
80. #16811300C22semidirect
81. #16811300C22semidirect
82. #16811300C22semidirect
83. #16811300C22semidirect
84. #16811300C22semidirect
85. #16811298C22semidirect
86. #16811298C22semidirect
87. #16811295C22semidirect
88. #16811295C22semidirect
89. #16811295C22semidirect
90. #16811295C22semidirect
91. #16811294C22semidirect
92. #16811294C22semidirect
93. #16811294C22semidirect
94. #16811292C22semidirect
95. #16811291C22semidirect
96. #16811288C22semidirect
97. #16811288C22semidirect
98. Q8×C22⋊D53C22semidirect
99. #16811285C22semidirect
100. #16811284C22semidirect
101. #16811284C22semidirect
102. #16811284C22semidirect
103. #16811283C22semidirect
104. #16811283C22semidirect
105. #16811283C22semidirect
106. #16811283C22semidirect
107. #16811276C22semidirect
108. #16811276C22semidirect
109. #16811276C22semidirect
110. #16811275C22semidirect
111. #16811275C22semidirect
112. #16811275C22semidirect
113. #16811274C22semidirect
114. #16811269C22semidirect
115. #16811269C22semidirect
116. #16811269C22semidirect
117. #16811268C22semidirect
118. #16811268C22semidirect
119. #16811266C22semidirect
120. #16811266C22semidirect
121. #16811265C22semidirect
122. #16811265C22semidirect
123. #16811265C22semidirect
124. #16811265C22semidirect
125. #16811265C22semidirect
126. #16811264C22semidirect
127. #16811264C22semidirect
128. #16811264C22semidirect
129. #16811264C22semidirect
130. #16811264C22semidirect
131. #16811264C22semidirect
132. #16811264C22semidirect
133. #16811264C22semidirect
134. #16811264C22semidirect
135. #16811262C22semidirect
136. #16811261C22semidirect
137. D4×D212C22semidirect
138. D4×D212C22semidirect
139. D4×D212C22semidirect
140. D4×D212C22semidirect
141. D4×D212C22semidirect
142. #16811257C22semidirect
143. #16811257C22semidirect
144. #16811257C22semidirect
145. #16811257C22semidirect
146. #16811250C22semidirect
147. #16811247C22semidirect
148. #16811247C22semidirect
149. #16811247C22semidirect
150. #16811246C22semidirect
151. #16811243C22semidirect
152. #16811234C22semidirect
153. #16811229C22semidirect
154. #16811229C22semidirect
155. #16811229C22semidirect
156. #16811229C22semidirect
157. #16811229C22semidirect
158. #16811228C22semidirect
159. #16811228C22semidirect
160. #16811226C22semidirect
161. #16811225C22semidirect
162. #16811225C22semidirect
163. #16811221C22semidirect
164. #16811221C22semidirect
165. #16811220C22semidirect
166. #16811219C22semidirect
167. #16811213C22semidirect
168. #16811213C22semidirect
169. #16811213C22semidirect
170. #16811213C22semidirect
171. #16811212C22semidirect
172. #16811212C22semidirect
173. #16811212C22semidirect
174. #16811212C22semidirect
175. #16811210C22semidirect
176. #16811209C22semidirect
177. #16811207C22semidirect
178. #16811203C22semidirect
179. #16811203C22semidirect
180. #16811203C22semidirect
181. #16811203C22semidirect
182. #16811203C22semidirect
183. #16811198C22semidirect
184. #16811198C22semidirect
185. #16811198C22semidirect
186. #16811192C22semidirect
187. #16811192C22semidirect
188. #16811191C22semidirect
189. #16811191C22semidirect
190. #16811191C22semidirect
191. #16811191C22semidirect
192. #16811184C22semidirect
193. #16811184C22semidirect
194. #16811184C22semidirect
195. #16811179C22semidirect
196. #16811177C22semidirect
197. #16811175C22semidirect
199. #16811174C22semidirect
200. #16811174C22semidirect
201. #16811174C22semidirect
202. #16811174C22semidirect
203. #16811174C22semidirect
204. #16811174C22semidirect
205. #16811174C22semidirect
206. #16811174C22semidirect
207. #16811174C22semidirect
208. #16811174C22semidirect
209. #16811174C22semidirect
210. #16811172C22semidirect
211. #16811170C22semidirect
212. #16811170C22semidirect
213. #16811169C22semidirect
214. #16811168C22semidirect
215. C2×#13133214C22semidirect
216. #16811160C22semidirect
217. #16811160C22semidirect
218. #16811160C22semidirect
219. #16811160C22semidirect
220. #16811159C22semidirect
221. #16811159C22semidirect
222. #16811159C22semidirect
223. #16811158C22semidirect
224. #16811158C22semidirect
225. #16811158C22semidirect
226. #16811157C22semidirect
227. #16811157C22semidirect
228. #16811156C22semidirect
229. #16811156C22semidirect
230. #16811156C22semidirect
231. #16811155C22semidirect
232. #16811154C22semidirect
233. #16811153C22semidirect
234. #16811152C22semidirect
235. #16811152C22semidirect
236. #16811151C22semidirect
237. #16811151C22semidirect
238. #16811150C22semidirect
239. #16811150C22semidirect
240. #126×D53C22semidirect
241. #125×D53C22semidirect
242. C2×#13133206C22semidirect
243. C2×#13133206C22semidirect
244. #124×D53C22semidirect
245. #124×D53C22semidirect
246. #16811136C22semidirect
247. #16811136C22semidirect
248. #16811135C22semidirect
249. #16811133C22semidirect
250. #16811132C22semidirect
251. #16811132C22semidirect
252. #16811132C22semidirect
253. #16811131C22semidirect
254. #123×D53C22semidirect
255. C22⋊Q8×D53C22semidirect
256. C22⋊Q8×D53C22semidirect
257. C2×#13133192C22semidirect
258. C2×#13133192C22semidirect
259. C2×#13133192C22semidirect
261. #121×D53C22semidirect
262. #121×D53C22semidirect
263. #16811105C22semidirect
264. #16811105C22semidirect
265. #16811105C22semidirect
266. #16811104C22semidirect
267. #16811097C22semidirect
268. #16811095C22semidirect
269. #16811095C22semidirect
270. #16811095C22semidirect
271. C4×#11719949C22semidirect
272. #16811091C22semidirect
273. C4×#11719947C22semidirect
274. C4×#11719947C22semidirect
275. C4×Q8×D53C22semidirect
276. C2×#13133179C22semidirect
277. C2×#13133179C22semidirect
278. C4×D4×D53C22semidirect
279. C4×D4×D53C22semidirect
280. #117×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#563C22semidirect
283. C53×#557C22semidirect
284. C53×#556C22semidirect
285. C53×#554C22semidirect
286. C53×#553C22semidirect
287. D4×Q8×C53C22semidirect
288. D4×Q8×C53C22semidirect
289. C53×#548C22semidirect
290. C53×#547C22semidirect
291. C53×#544C22semidirect
292. C53×#542C22semidirect
293. C53×#541C22semidirect
294. C53×#539C22semidirect
295. C53×#536C22semidirect
296. C2×C4⋊Q8×C53C22semidirect
297. C53×#529C22semidirect
298. C53×#529C22semidirect
1337. #3552D53semidirect
1384. #563C2×D53semidirect
1396. #557C2×D53semidirect
1401. #556C2×D53semidirect
1409. #554C2×D53semidirect
1424. #553C2×D53semidirect
1448. D4×Q8C2×D53semidirect
1449. D4×Q8C2×D53semidirect
1458. #548C2×D53semidirect
1466. #547C2×D53semidirect
1500. #544C2×D53semidirect
1506. #542C2×D53semidirect
1508. #541C2×D53semidirect
1523. #539C2×D53semidirect
1543. #536C2×D53semidirect
1573. C2×C4⋊Q8C2×D53semidirect
1599. #529C2×D53semidirect
1600. #529C2×D53semidirect
1643. C53#62830semidirect

Maximal subgroups

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

subgroupindex
#202893092
#202892912
#202892582
#202891562
#202891402
#202891012
#202890842
#202890452
#202889032
#202887602
#202887482
#202887432
#202887402
#202887222
#202887202
#202886792
#202886772
#202886692
#202886382
#202885812
#202885682
#202885472
#202885042
#202884852
#202884732
#202884532
#202884482
#202883922
#202883812
#202880092
C2×#168111742
#529×D532
C53×#35522
#6283053