Finite Group Databasebeta

← #28292839

Subgroups — #28292839

Order 13568.

6626 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289394C214yesmaximal, complemented
2#20289374C214yesmaximal, complemented
3#20289363C212yesmaximal, complemented
4#20289306C212yesmaximal, complemented
5#20289191C211yesmaximal, characteristic, complemented
6#20289187C211yesmaximal, characteristic, complemented
7#20289092C211yesmaximal, characteristic, complemented
8#20289088C211yesmaximal, characteristic, complemented
9#20289017C212yesmaximal, complemented
10#20289009C212yesmaximal, complemented
11#20288887C214yesmaximal, complemented
12#20288817C212yesmaximal, complemented
13#20288816C212yesmaximal, complemented
14#20288803C211yesmaximal, characteristic, complemented
15#20288798C211yesmaximal, characteristic, complemented
16#20288790C212yesmaximal, complemented
17#20288781C212yesmaximal, complemented
18#20288776C214yesmaximal, complemented
19#20288747C211yesmaximal, characteristic, complemented
20#20288727C211yesmaximal, characteristic, complemented
21#20288720C211yesmaximal, characteristic, complemented
22#20288694C212yesmaximal, complemented
23#20288684C211yesmaximal, characteristic, complemented
24#20288679C211yesmaximal, characteristic, complemented
25#20288673C212yesmaximal, complemented
26#20288632C212yesmaximal, complemented
27#20288607C212yesmaximal, complemented
28#20288558C212yesmaximal, complemented
29#20288556C212yesmaximal, complemented
30#20288461C212yesmaximal, complemented
31#20288452C212yesmaximal, complemented
32#20288012C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34C2×#16811155C211yesmaximal, characteristic, complemented
35C53×#3520C211yesmaximal, characteristic, complemented
36#16811377C2214yescomplemented
37#16811375C2214yescomplemented
38#16811370C2214yescomplemented
39#16811370C2214yescomplemented
40#16811369C2214yescomplemented
41#16811369C2214yescomplemented
42#16811363C2214yescomplemented
43#16811361C2214yescomplemented
44#16811358C2211yescharacteristic, complemented
45#16811357C2214yescomplemented
46#16811356C2214yescomplemented
47#16811356C2212yescomplemented
48#16811355C2212yescomplemented
49#16811355C2214yescomplemented
50Q8×Dic106C2211yescharacteristic, complemented
51#16811352C2212yescomplemented
52#16811349C2212yescomplemented
53#16811348C2211yescharacteristic, complemented
54#16811348C2211yescharacteristic, complemented
55#16811347C2212yescomplemented
56#16811347C2211yescharacteristic, complemented
57#16811345C2212yescomplemented
58#16811344C2214yescomplemented
59#16811344C2212yescomplemented
60#16811344C2214yescomplemented
61#16811342C2212yescomplemented
62#16811341C2212yescomplemented
63#16811340C2214yescomplemented
64#16811338C2214yescomplemented
65#16811338C2212yescomplemented
66#16811338C2211yescharacteristic, complemented
67#16811337C2212yescomplemented
68#16811337C2214yescomplemented
69#16811336C2212yescomplemented
70#16811334C2212yescomplemented
71#16811331C2214yescomplemented
72#16811330C2211yescharacteristic, complemented
73#16811330C2211yescharacteristic, complemented
74#16811329C2212yescomplemented
75#16811325C2212yes—
76#16811322C2214yescomplemented
77#16811322C2214yescomplemented
78#16811321C2212yes—
79#16811321C2212yescomplemented
80#16811321C2214yescomplemented
81#16811321C2212yescomplemented
82#16811321C2214yescomplemented
83#16811321C2212yescomplemented
84#16811319C2214yescomplemented
85#16811319C2212yescomplemented
86#16811319C2214yescomplemented
87#16811319C2214yescomplemented
88#16811318C2214yescomplemented
89#16811318C2214yescomplemented
90#16811317C2214yescomplemented
91#16811315C2212yescomplemented
92#16811315C2212yescomplemented
93#16811315C2212yescomplemented
94#16811315C2212yescomplemented
95#16811315C2214yescomplemented
96#16811315C2214yescomplemented
97#16811312C2214yescomplemented
98#16811311C2214yescomplemented
99#16811310C2214yescomplemented
100#16811308C2214yescomplemented
101#16811308C2212yescomplemented
102#16811308C2214yescomplemented
103#16811307C2214yescomplemented
104#16811306C2214yescomplemented
105#16811303C2214yescomplemented
106#16811301C2214yescomplemented
107#16811300C2214yescomplemented
108#16811300C2214yescomplemented
109#16811299C2214yescomplemented
110#16811299C2214yescomplemented
111#16811298C2214yescomplemented
112#16811298C2214yescomplemented
113#16811296C2214yescomplemented
114#16811296C2214yescomplemented
115#16811294C2211yescharacteristic, complemented
116#16811294C2211yescharacteristic, complemented
117#16811292C2212yescomplemented
118#16811292C2212yescomplemented
119#16811291C2212yescomplemented
120#16811288C2211yescharacteristic, complemented
121#16811286C2212yescomplemented
122#16811285C2212yescomplemented
123#16811284C2212yescomplemented
124#16811284C2212yescomplemented
125#16811282C2212yescomplemented
126#16811280C2212yescomplemented
127#16811277C2212yescomplemented
128#16811277C2214yescomplemented
129#16811275C2212yescomplemented
130#16811275C2212yescomplemented
131#16811272C2212yescomplemented
132#16811271C2214yescomplemented
133#16811270C2212yescomplemented
134#16811269C2212yescomplemented
135#16811266C2212yes—
136#16811264C2212yescomplemented
137#16811264C2212yescomplemented
138#16811263C2214yes—
139#16811260C2214yescomplemented
140#16811260C2214yescomplemented
141D4×D212C2211yescharacteristic, complemented
142D4×C22⋊D53C2212yes—
143#16811254C2212yescomplemented
144#16811251C2212yescomplemented
145#16811247C2212yescomplemented
146#16811246C2212yescomplemented
147#16811246C2214yescomplemented
148#16811246C2212yescomplemented
149#16811246C2212yescomplemented
150#16811246C2212yescomplemented
151#16811246C2214yescomplemented
152#16811244C2212yescomplemented
153#16811244C2214yescomplemented
154#16811242C2212yes—
155#16811241C2214yescomplemented
156#16811241C2214yescomplemented
157#16811239C2214yescomplemented
158#16811236C2214yescomplemented
159#16811233C2212yescomplemented
160#16811233C2212yescomplemented
161#16811232C2214yescomplemented
162#16811231C2212yescomplemented
163#16811231C2212yescomplemented
164#16811230C2214yescomplemented
165#16811226C2212yescomplemented
166#16811226C2214yescomplemented
167#16811226C2212yescomplemented
168#16811225C2214yescomplemented
169#16811224C2214yescomplemented
170#16811224C2212yescomplemented
171#16811224C2212yescomplemented
172#16811222C2214yescomplemented
173#16811222C2214yescomplemented
174#16811221C2214yescomplemented
175#16811219C2214yescomplemented
176#16811217C2214yescomplemented
177#16811214C2214yescomplemented
178#16811213C2214yescomplemented
179#16811212C2214yescomplemented
180#16811209C2214yescomplemented
181#16811209C2214yescomplemented
182#16811208C2214yescomplemented
183#16811207C2214yescomplemented
184#16811206C2214yescomplemented
185#16811206C2214yescomplemented
186#16811205C2214yescomplemented
187#16811204C2212yescomplemented
188#16811201C2212yescomplemented
189#16811197C2212yescomplemented
190#16811196C2212yescomplemented
191#16811189C2212yes—
192#16811188C2214yescomplemented
193#16811187C2212yescomplemented
194#16811185C2214yescomplemented
195#16811179C2211yescharacteristic, complemented
196#16811178C2211yescharacteristic, complemented
197#16811178C2211yescharacteristic, complemented
198#16811178C2212yescomplemented
199#16811177C2211yescharacteristic, complemented
200#16811175C2211yescharacteristic, complemented
201#16811175C2212yescomplemented
202#16811174C2211yescharacteristic, complemented
203#16811174C2211yescharacteristic, complemented
204#16811173C2211yescharacteristic
205#16811172C2211yescharacteristic, complemented
206#16811170C2211yescharacteristic, complemented
207#16811169C2212yescomplemented
208#16811168C2211yescharacteristic
209#16811168C2212yescomplemented
210#16811160C2212yescomplemented
211#16811160C2212yescomplemented
212#16811160C2212yescomplemented
213#16811159C2212yes—
214#16811159C2212yescomplemented
215#16811159C2212yescomplemented
216#16811159C2212yescomplemented
217#16811159C2212yescomplemented
218#16811158C2211yescharacteristic, complemented
219#16811158C2212yescomplemented
220#16811158C2212yescomplemented
221#16811157C2211yescharacteristic
222#16811156C2212yescomplemented
223#16811156C2212yescomplemented
224#16811155C2211yescharacteristic
225#16811155C2211yescharacteristic
226#16811155C2211yescharacteristic
227#16811155C2211yescharacteristic
228#16811155C2214yescomplemented
229#16811155C2212yescomplemented
230#16811155C2212yescomplemented
231#16811155C2211yescharacteristic, complemented
232#16811155C2211yescharacteristic, complemented
233#16811155C2212yescomplemented
234#16811155C2212yescomplemented
235#16811155C2211yescharacteristic, complemented
236#16811155C2212yescomplemented
237#16811155C2211yescharacteristic, complemented
238#16811154C2212yescomplemented
239#16811152C2214yescomplemented
240#16811152C2211yescharacteristic, complemented
241#16811151C2214yescomplemented
242#16811151C2212yescomplemented
243#16811150C2212yescomplemented
244C2×#13133210C2212yescomplemented
245#126×D53C2214yescomplemented
246C2×#13133208C2212yescomplemented
247C2×#13133208C2211yescharacteristic, complemented
248C2×#13133204C2211yescharacteristic
249#124×D53C2212yescomplemented
250#16811136C2211yescharacteristic
251#16811136C2212yescomplemented
252#16811136C2212yescomplemented
253#16811135C2212yescomplemented
254#16811134C2212yes—
255#16811133C2211yescharacteristic, complemented
256#16811132C2212yescomplemented
257#16811131C2212yescomplemented
258C2×#13133199C2212yescomplemented
259C2×#13133197C2211yescharacteristic, complemented
260C2×#13133191C2212yes—
261C2×#13133188C2211yescharacteristic
262#16811106C2212yescomplemented
263#16811104C2212yescomplemented
264#16811103C2212yescomplemented
265#16811102C2214yescomplemented
266#16811101C2212yescomplemented
267#16811099C2212yescomplemented
268#16811097C2212yescomplemented
269#16811096C2214yescomplemented
270#16811095C2212yescomplemented
271C4×#11719949C2211yescharacteristic, complemented
272C4×#11719949C2212yescomplemented
273C4×#11719949C2212yescomplemented
274#16811091C2212yescomplemented
275#16811091C2212yescomplemented
276C4×#11719947C2212yescomplemented
277C4×#11719947C2211yescharacteristic, complemented
278C2×C4×Dic106C2211yescharacteristic, complemented
279C2×C4×C22⋊D53C2212yescomplemented
280C2×#13133176C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#556C2211yescharacteristic, complemented
283C53×#554C2212yescomplemented
284C53×#552C2212yescomplemented
285C53×#551C2214yescomplemented
286D4×Q8×C53C2211yescharacteristic, complemented
287C53×#548C2212yescomplemented
288C53×#547C2211yescharacteristic, complemented
289C53×#547C2211yescharacteristic, complemented
290C53×#546C2212yes—
291C53×#542C2212yescomplemented
292C53×#539C2214yescomplemented
293C53×#533C2211yescharacteristic, complemented
294C53×#529C2211yescharacteristic, complemented
295C53×#525C2212yescomplemented
296C2×C22⋊Q8×C53C2212yescomplemented
297C53×#520C2212yescomplemented
298C2×C4×D4×C53C2211yescharacteristic
299C2×#11719949C2311yescharacteristic
300C2×#11719949C2312yes—
301C2×#11719949C2312yes—
302C2×#11719945C2312yes—
303C2×#11719945C2312yes—
304C2×#11719945C2312yes—
305C2×#11719945C2312yes—
306C2×#11719947C2314yes—
307C2×#11719947C2311yescharacteristic
308C2×#11719947C2312yes—
309C22×Dic106C2311yescharacteristic
310C2×Q8×D53C2312yes—
311C22×D212C2312yes—
312C22×C22⋊D53C2312yes—
313C22×C22⋊D53C2314yes—
314C2×D4×D53C2312yes—
315C22×C4×D53C2311yescharacteristic
316C22×C4×D53C2311yescharacteristic
317C22×C4×D53C2311yescharacteristic
318#13133217C2312yes—
319#13133217C2314yes—
320#13133217C2311yescharacteristic
321#13133216C2314yes—
322#13133216C2314yes—
323#13133216C2312yes—
324#13133216C2312yes—
325#13133216C2314yes—
326#13133216C2311yescharacteristic
327#13133216C2311yescharacteristic
328#13133215C2312yes—
329#13133215C2312yes—
330#13133215C2311yescharacteristic
331#13133214C2311yescharacteristic
332#13133213C2312yes—
333#13133213C2314yes—
334#13133213C2312yes—
335#13133213C2314yes—
336#13133213C2311yescharacteristic
337#13133212C2314yes—
338#13133212C2314yes—
339#13133212C2314yes—
340#13133212C2314yes—
341#13133212C2314yes—
342#13133212C2314yes—
343#13133212C2314yes—
344#13133212C2314yes—
345#13133212C2314yes—
346#13133212C2314yes—
347#13133212C2314yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2314yes—
352#13133212C2312yes—
353#13133212C2314yes—
354#13133211C2314yes—
355#13133211C2314yes—
356#13133211C2312yes—
357#13133210C2312yes—
358#13133210C2314yes—
359#13133210C2314yes—
360#13133210C2314yes—
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2312yes—
364#13133210C2312yes—
365#13133210C2314yes—
366#13133210C2312yes—
367#13133210C2312yes—
368#13133210C2312yes—
369#13133210C2312yes—
370#13133210C2312yes—
371#13133210C2312yes—
372#13133209C2314yes—
373#13133209C2314yes—
374#13133209C2311yescharacteristic
375#13133208C2314yes—
376#13133208C2314yes—
377#13133208C2314yes—
378#13133208C2312yes—
379#13133208C2314yes—
380#13133208C2312yes—
381#13133208C2314yes—
382#13133208C2311yescharacteristic
383#13133208C2314yes—
384#13133208C2312yes—
385#13133208C2312yes—
386#13133208C2312yes—
387#13133208C2311yescharacteristic
388#13133208C2311yescharacteristic
389#13133208C2312yes—
390#13133208C2311yescharacteristic
391#13133208C2312yes—
392#13133208C2312yes—
393#13133207C2314yes—
394#13133207C2314yes—
395#13133207C2312yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2314yes—
399#13133207C2312yes—
400#13133206C2312yes—
401#13133206C2312yes—
402#13133206C2314yes—
403#13133206C2314yes—
404#13133206C2312yes—
405#13133206C2312yes—
406#13133205C2311yescharacteristic
407#13133205C2312yes—
408#13133205C2314yes—
409#13133205C2312yes—
410#13133204C2311yescharacteristic
411#13133204C2311yescharacteristic
412#13133204C2314yes—
413#13133204C2312yes—
414#13133204C2311yescharacteristic
415#13133204C2311yescharacteristic
416#13133204C2312yes—
417#13133203C2314yes—
418#13133203C2312yes—
419#13133203C2314yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2314yes—
426#13133203C2314yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2312yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2312yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2312yes—
441#13133201C2314yes—
442#13133201C2314yes—
443#13133201C2314yes—
444#13133201C2314yes—
445#13133201C2314yes—
446#13133201C2314yes—
447#13133201C2314yes—
448#13133201C2314yes—
449#13133200C2314yes—
450#13133200C2314yes—
451#13133200C2314yes—
452#13133200C2312yes—
453#13133200C2314yes—
454#13133199C2314yes—
455#13133199C2314yes—
456#13133199C2314yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2312yes—
461#13133199C2314yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2312yes—
465#13133199C2312yes—
466#13133199C2312yes—
467#13133199C2312yes—
468#13133199C2312yes—
469#13133199C2312yes—
470#13133199C2312yes—
471#13133199C2312yes—
472#13133199C2312yes—
473#13133198C2314yes—
474#13133197C2312yes—
475#13133197C2311yescharacteristic
476#13133197C2311yescharacteristic
477#13133197C2314yes—
478#13133197C2314yes—
479#13133197C2314yes—
480#13133197C2311yescharacteristic
481#13133197C2314yes—
482#13133197C2314yes—
483#13133197C2312yes—
484#13133197C2312yes—
485#13133197C2311yescharacteristic
486#13133197C2311yescharacteristic
487#13133197C2312yes—
488#13133197C2312yes—
489#13133196C2312yes—
490#13133196C2312yes—
491#13133196C2314yes—
492#13133196C2314yes—
493#13133196C2311yescharacteristic
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2314yes—
497#13133195C2314yes—
498#13133195C2312yes—
499#13133195C2312yes—
500#13133195C2312yes—
501#13133194C2314yes—
502#13133194C2314yes—
503#13133194C2314yes—
504#13133194C2314yes—
505#13133194C2312yes—
506#13133194C2314yes—
507#13133193C2312yes—
508#13133193C2312yes—
509#13133193C2311yescharacteristic
510#13133193C2314yes—
511#13133193C2314yes—
512#13133193C2314yes—
513#13133193C2314yes—
514#13133193C2312yes—
515#13133192C2311yescharacteristic
516#13133192C2314yes—
517#13133192C2312yes—
518#13133192C2314yes—
519#13133192C2312yes—
520#13133192C2312yes—
521#13133192C2312yes—
522#13133192C2312yes—
523#13133191C2312yes—
524#13133191C2312yes—
525#13133191C2312yes—
526#13133191C2314yes—
527#13133191C2314yes—
528#13133191C2312yes—
529#13133191C2314yes—
530#13133191C2314yes—
531#13133191C2314yes—
532#13133191C2312yes—
533#13133191C2314yes—
534#13133191C2314yes—
535#13133191C2314yes—
536#13133191C2314yes—
537#13133191C2311yescharacteristic
538#13133191C2312yes—
539#13133190C2314yes—
540#13133190C2314yes—
541#13133190C2314yes—
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2314yes—
545#13133190C2312yes—
546#13133190C2312yes—
547#13133190C2312yes—
548#13133189C2314yes—
549#13133189C2314yes—
550#13133189C2314yes—
551#13133189C2314yes—
552#13133189C2312yes—
553#13133189C2314yes—
554#13133189C2314yes—
555#13133189C2314yes—
556#13133188C2311yescharacteristic
557#13133188C2314yes—
558#13133188C2312yes—
559#13133188C2314yes—
560#13133188C2311yescharacteristic
561#13133188C2311yescharacteristic
562#13133188C2314yes—
563#13133188C2312yes—
564#13133188C2311yescharacteristic
565#13133188C2311yescharacteristic
566#13133188C2312yes—
567#13133187C2314yes—
568#13133187C2314yes—
569#13133187C2314yes—
570#13133187C2312yes—
571#13133187C2314yes—
572#13133186C2314yes—
573#13133185C2314yes—
574#13133185C2314yes—
575#13133185C2314yes—
576#13133185C2312yes—
577Q8×Dic53C2312yes—
578Q8×Dic53C2312yes—
579Q8×Dic53C2312yes—
580Q8×Dic53C2312yes—
581Q8×Dic53C2312yes—
582Q8×Dic53C2314yes—
583Q8×Dic53C2314yes—
584Q8×Dic53C2311yescharacteristic
585Q8×Dic53C2312yes—
586C4×Dic106C2312yes—
587C4×Dic106C2311yescharacteristic
588C4×Dic106C2311yescharacteristic
589C4×Dic106C2311yescharacteristic
590C4×Dic106C2314yes—
591C4×Dic106C2314yes—
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594C4×Dic106C2311yescharacteristic
595C4×Dic106C2311yescharacteristic
596C4×Dic106C2312yes—
597#13133182C2312yes—
598#13133182C2312yes—
599#13133182C2312yes—
600#13133182C2314yes—
601#13133182C2312yes—
602#13133182C2312yes—
603#13133182C2314yes—
604#13133182C2311yescharacteristic
605#13133182C2312yes—
606#13133182C2312yes—
607C4×D212C2312yes—
608C4×D212C2312yes—
609C4×D212C2312yes—
610C4×D212C2314yes—
611C4×D212C2314yes—
612C4×D212C2311yescharacteristic
613C4×D212C2314yes—
614C4×D212C2312yes—
615C4×D212C2314yes—
616D4×Dic53C2312yes—
617D4×Dic53C2314yes—
618D4×Dic53C2314yes—
619D4×Dic53C2312yes—
620D4×Dic53C2312yes—
621D4×Dic53C2311yescharacteristic
622#13133179C2312yes—
623#13133179C2312yes—
624#13133179C2312yes—
625#13133179C2312yes—
626#13133179C2312yes—
627#13133179C2312yes—
628#13133179C2312yes—
629#13133179C2312yes—
630#13133179C2314yes—
631#13133179C2312yes—
632#13133179C2311yescharacteristic
633#13133179C2312yes—
634#13133179C2312yes—
635#13133179C2314yes—
636C4×C22⋊D53C2312yes—
637C4×C22⋊D53C2312yes—
638C4×C22⋊D53C2312yes—
639C4×C22⋊D53C2312yes—
640C4×C22⋊D53C2312yes—
641C4×C22⋊D53C2314yes—
642C4×C22⋊D53C2312yes—
643C4×C22⋊D53C2314yes—
644C4×C22⋊D53C2314yes—
645C4×C22⋊D53C2312yes—
646C4×C22⋊D53C2314yes—
647C4×C22⋊D53C2314yes—
648C4×C22⋊D53C2314yes—
649C4×C22⋊D53C2312yes—
650C4×C22⋊D53C2312yes—
651C4×C22⋊D53C2314yes—
652C4×C22⋊D53C2314yes—
653C4×C22⋊D53C2314yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2312yes—
656#13133177C2314yes—
657#13133177C2314yes—
658#13133177C2314yes—
659#13133177C2314yes—
660#13133177C2312yes—
661#13133177C2314yes—
662#13133177C2314yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2314yes—
666#13133177C2312yes—
667#13133177C2312yes—
668#13133177C2312yes—
669#13133177C2312yes—
670#13133177C2314yes—
671#13133176C2312yes—
672#13133176C2312yes—
673#13133176C2314yes—
674#13133176C2314yes—
675#13133176C2312yes—
676#13133176C2312yes—
677#13133176C2314yes—
678#13133176C2312yes—
679#13133176C2312yes—
680#13133176C2312yes—
681#13133176C2312yes—
682#13133176C2312yes—
683#13133175C2314yes—
684#13133175C2314yes—
685#13133175C2312yes—
686#13133175C2314yes—
687#13133175C2314yes—
688#13133175C2312yes—
689#13133175C2314yes—
690#13133175C2312yes—
691#13133175C2311yescharacteristic
692#13133175C2312yes—
693#13133175C2312yes—
694#13133175C2312yes—
695#13133175C2311yescharacteristic
696#13133174C2314yes—
697#13133174C2314yes—
698#13133174C2314yes—
699#13133174C2312yes—
700#13133174C2312yes—
701#13133173C2312yes—
702#13133173C2314yes—
703#13133173C2314yes—
704#13133173C2314yes—
705#13133173C2312yes—
706#13133173C2314yes—
707#13133173C2312yes—
708C2×C4⋊Dic53C2312yes—
709C2×C4⋊Dic53C2311yescharacteristic
710C2×C4⋊Dic53C2314yes—
711C2×C4⋊Dic53C2312yes—
712C2×C4⋊Dic53C2312yes—
713C2×C4⋊Dic53C2312yes—
714C2×#11719919C2312yes—
715C2×#11719919C2314yes—
716C2×#11719919C2312yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2314yes—
719C4⋊C4×D53C2314yes—
720C2×C22⋊Dic53C2312yes—
721C2×C22⋊Dic53C2312yes—
722C2×C22⋊Dic53C2312yes—
723C2×#11719921C2314yes—
724C2×#11719921C2312yes—
725C22⋊C4×D53C2314yes—
726C22⋊C4×D53C2314yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2312yes—
734C2×C4×Dic53C2312yes—
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2312yes—
744C42×D53C2314yes—
745C2×#41×C53C2312yes—
746C2×#41×C53C2312yes—
747C22×Q8×C53C2312yes—
748C22×D4×C53C2311yescharacteristic
749C23×C4×C53C2312yes—
750C4⋊Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2312yes—
753#126×C53C2314yes—
754#126×C53C2314yes—
755#126×C53C2312yes—
756#125×C53C2311yescharacteristic
757#125×C53C2314yes—
758#125×C53C2312yes—
759#124×C53C2312yes—
760#124×C53C2314yes—
761#124×C53C2311yescharacteristic
762#123×C53C2312yes—
763#123×C53C2314yes—
764#123×C53C2314yes—
765#123×C53C2314yes—
766#123×C53C2314yes—
767C22⋊Q8×C53C2312yes—
768C22⋊Q8×C53C2312yes—
769C22⋊Q8×C53C2312yes—
770C22⋊Q8×C53C2312yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2314yes—
773C22⋊Q8×C53C2311yescharacteristic
774C22⋊Q8×C53C2312yes—
775C22⋊Q8×C53C2314yes—
776C22⋊Q8×C53C2314yes—
777C22⋊Q8×C53C2314yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2311yescharacteristic
781#121×C53C2314yes—
782#120×C53C2314yes—
783C4×Q8×C53C2312yes—
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2312yes—
787C4×D4×C53C2312yes—
788C4×D4×C53C2312yes—
789C4×D4×C53C2314yes—
790C4×D4×C53C2311yescharacteristic
791C4×D4×C53C2311yescharacteristic
792C4×D4×C53C2312yes—
793C4×D4×C53C2311yescharacteristic
794C4×D4×C53C2311yescharacteristic
795C4×D4×C53C2311yescharacteristic
796C4×D4×C53C2314yes—
797C4×D4×C53C2314yes—
798C4×D4×C53C2312yes—
799#117×C53C2312yes—
800#117×C53C2314yes—
801#117×C53C2312yes—
802#117×C53C2312yes—
803C2×C4⋊C4×C53C2311yescharacteristic
804C2×C4⋊C4×C53C2314yes—
805C2×C4⋊C4×C53C2312yes—
806C2×C4⋊C4×C53C2312yes—
807C2×C22⋊C4×C53C2312yes—
808C2×C22⋊C4×C53C2314yes—
809C2×C42×C53C2311yescharacteristic
810C24×C53C2412yes—
811C23×D53C2411yescharacteristic
812C23×D53C2414yes—
813#41×C53—44no—
814#41×C53—44no—
815C2×Q8×C53—44no—
816C2×Q8×C53C2412yes—
817C2×Q8×C53C2411yescharacteristic
818C2×Q8×C53C2412yes—
819C2×Q8×C53C2414yes—
820C2×D4×C53—42no—
821C2×D4×C53C2411yescharacteristic
822C2×D4×C53C2412yes—
823C2×D4×C53C2411yescharacteristic
824C2×D4×C53C2411yescharacteristic
825C2×D4×C53C2414yes—
826C2×D4×C53C2412yes—
827C2×D4×C53C2414yes—
828C22×C4×C53—44no—
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2411yescharacteristic
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2412yes—
833C22×C4×C53C2412yes—
834C22×C4×C53C2412yes—
835C22×C4×C53C2414yes—
836C22×C4×C53C2414yes—
837C22×C4×C53C2412yes—
838C22×C4×C53C2412yes—
839C22×C4×C53C2414yes—
840C22×C4×C53C2412yes—
841C2×C22⋊D53—44no—
842C2×C22⋊D53—48no—
843C2×C22⋊D53C2414yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2414yes—
847C2×C22⋊D53C2412yes—
848C2×C22⋊D53C2412yes—
849C2×C22⋊D53C2414yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2414yes—
852C2×C22⋊D53C2414yes—
853C2×C22⋊D53C2414yes—
854C2×C22⋊D53C2412yes—
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2412yes—
857C2×C22⋊D53C2412yes—
858C2×C22⋊D53C2414yes—
859C22×Dic53C2411yescharacteristic
860C22×Dic53C2412yes—
861C22×Dic53C2411yescharacteristic
862C22×Dic53C2411yescharacteristic
863C22×Dic53C2412yes—
864C22×Dic53C2412yes—
865C22×Dic53C2412yes—
866C22×Dic53C2414yes—
867C22×Dic53C2414yes—
868#11719949—42no—
869#11719949—44no—
870#11719949—44no—
871Q8×D53—44no—
872#11719947—42no—
873#11719947—44no—
874#11719947—48no—
875D4×D53—44no—
876#11719945—44no—
877#11719945—44no—
878#11719945—44no—
879#11719945—44no—
880C2×D212—44no—
881C2×D212C2411yescharacteristic
882C2×D212C2412yes—
883C2×D212C2412yes—
884C2×D212C2412yes—
885C2×D212C2412yes—
886C2×D212C2412yes—
887C2×D212C2414yes—
888C2×D212C2414yes—
889C2×D212C2414yes—
890C2×C4×D53—42no—
891C2×C4×D53—42no—
892C2×C4×D53—42no—
893C2×C4×D53C2411yescharacteristic
894C2×C4×D53C2411yescharacteristic
895C2×C4×D53C2411yescharacteristic
896C2×C4×D53C2411yescharacteristic
897C2×C4×D53C2412yes—
898C2×C4×D53C2411yescharacteristic
899C2×C4×D53C2411yescharacteristic
900C2×C4×D53C2411yescharacteristic
901C2×C4×D53C2411yescharacteristic
902C2×C4×D53C2411yescharacteristic
903C2×C4×D53C2411yescharacteristic
904C2×C4×D53C2411yescharacteristic
905C2×C4×D53C2411yescharacteristic
906C2×C4×D53C2412yes—
907C2×C4×D53C2412yes—
908C2×C4×D53C2414yes—
909C2×C4×D53C2414yes—
910C2×C4×D53C2414yes—
911C2×C4×D53C2414yes—
912C2×C4×D53C2414yes—
913C2×C4×D53C2414yes—
914C2×C4×D53C2414yes—
915C2×Dic106—42no—
916C2×Dic106C2411yescharacteristic
917C2×Dic106C2411yescharacteristic
918C2×Dic106C2411yescharacteristic
919C2×Dic106C2412yes—
920C2×Dic106C2412yes—
921C2×Dic106C2412yes—
922C2×Dic106C2414yes—
923C2×Dic106C2414yes—
924C2×Dic106C2412yes—
925C4⋊C4×C53C2411yescharacteristic
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2414yes—
928C4⋊C4×C53C2411yescharacteristic
929C4⋊C4×C53C2412yes—
930C4⋊C4×C53C2412yes—
931C4⋊C4×C53C2411yescharacteristic
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2414yes—
934C4⋊C4×C53C2414yes—
935C4⋊C4×C53C2414yes—
936C4⋊C4×C53C2412yes—
937C4⋊C4×C53C2411yescharacteristic
938C4⋊C4×C53C2412yes—
939C4⋊C4×C53C2412yes—
940C4⋊C4×C53C2414yes—
941C4⋊C4×C53C2412yes—
942C4⋊C4×C53C2414yes—
943C4⋊C4×C53C2412yes—
944C22⋊C4×C53C2412yes—
945C22⋊C4×C53C2412yes—
946C22⋊C4×C53C2414yes—
947C22⋊C4×C53C2412yes—
948C22⋊C4×C53C2412yes—
949C22⋊C4×C53C2412yes—
950C22⋊C4×C53C2414yes—
951C22⋊C4×C53C2414yes—
952C22⋊C4×C53C2414yes—
953C22⋊C4×C53C2412yes—
954C22⋊C4×C53C2412yes—
955C22⋊C4×C53C2414yes—
956C22⋊C4×C53C2412yes—
957C22⋊C4×C53C2414yes—
958C22⋊C4×C53C2412yes—
959C42×C53C2411yescharacteristic
960C42×C53C2411yescharacteristic
961C42×C53C2411yescharacteristic
962C42×C53C2411yescharacteristic
963C42×C53C2414yes—
964C42×C53C2414yes—
965C42×C53C2412yes—
966C22⋊Dic53C2412yes—
967C22⋊Dic53C2412yes—
968C22⋊Dic53C2412yes—
969C22⋊Dic53C2412yes—
970C22⋊Dic53C2414yes—
971C22⋊Dic53C2412yes—
972C22⋊Dic53C2412yes—
973C22⋊Dic53C2412yes—
974C22⋊Dic53C2412yes—
975C22⋊Dic53C2412yes—
976C22⋊Dic53C2412yes—
977C22⋊Dic53C2412yes—
978C22⋊Dic53C2412yes—
979C22⋊Dic53C2412yes—
980C22⋊Dic53C2412yes—
981C22⋊Dic53C2412yes—
982C22⋊Dic53C2414yes—
983C22⋊Dic53C2414yes—
984#11719921C2412yes—
985#11719921C2412yes—
986#11719921C2412yes—
987#11719921C2414yes—
988#11719921C2414yes—
989#11719921C2414yes—
990#11719921C2414yes—
991#11719921C2414yes—
992#11719921C2414yes—
993#11719921C2414yes—
994#11719921C2412yes—
995#11719921C2414yes—
996#11719921C2414yes—
997#11719921C2412yes—
998#11719921C2412yes—
999#11719921C2412yes—
1000#11719921C2412yes—
1001#11719921C2414yes—
1002#11719921C2412yes—
1003#11719921C2414yes—
1004#11719921C2412yes—
1005#11719921C2414yes—
1006#11719921C2412yes—
1007#11719921C2412yes—
1008#11719921C2414yes—
1009#11719921C2414yes—
1010#11719921C2414yes—
1011#11719921C2412yes—
1012#11719921C2414yes—
1013#11719921C2412yes—
1014#11719921C2414yes—
1015#11719921C2414yes—
1016C4⋊Dic53C2412yes—
1017C4⋊Dic53C2412yes—
1018C4⋊Dic53C2414yes—
1019C4⋊Dic53C2412yes—
1020C4⋊Dic53C2411yescharacteristic
1021C4⋊Dic53C2411yescharacteristic
1022C4⋊Dic53C2414yes—
1023C4⋊Dic53C2412yes—
1024C4⋊Dic53C2412yes—
1025C4⋊Dic53C2411yescharacteristic
1026C4⋊Dic53C2412yes—
1027C4⋊Dic53C2414yes—
1028C4⋊Dic53C2412yes—
1029C4⋊Dic53C2412yes—
1030C4⋊Dic53C2412yes—
1031C4⋊Dic53C2412yes—
1032C4⋊Dic53C2412yes—
1033C4⋊Dic53C2414yes—
1034C4⋊Dic53C2412yes—
1035C4⋊Dic53C2411yescharacteristic
1036C4⋊Dic53C2412yes—
1037C4⋊Dic53C2414yes—
1038C4⋊Dic53C2414yes—
1039C4⋊Dic53C2414yes—
1040C4⋊Dic53C2414yes—
1041#11719919C2412yes—
1042#11719919C2412yes—
1043#11719919C2412yes—
1044#11719919C2414yes—
1045#11719919C2414yes—
1046#11719919C2414yes—
1047#11719919C2412yes—
1048#11719919C2414yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2414yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056#11719919C2414yes—
1057#11719919C2414yes—
1058#11719919C2414yes—
1059#11719919C2412yes—
1060#11719919C2412yes—
1061#11719919C2412yes—
1062#11719919C2412yes—
1063#11719919C2412yes—
1064#11719919C2412yes—
1065#11719919C2414yes—
1066#11719919C2412yes—
1067#11719919C2412yes—
1068#11719919C2414yes—
1069C4×Dic53C2411yescharacteristic
1070C4×Dic53C2411yescharacteristic
1071C4×Dic53C2411yescharacteristic
1072C4×Dic53C2411yescharacteristic
1073C4×Dic53C2411yescharacteristic
1074C4×Dic53C2411yescharacteristic
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2411yescharacteristic
1077C4×Dic53C2411yescharacteristic
1078C4×Dic53C2411yescharacteristic
1079C4×Dic53C2411yescharacteristic
1080C4×Dic53C2411yescharacteristic
1081C4×Dic53C2414yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2414yes—
1085C4×Dic53C2412yes—
1086C4×Dic53C2412yes—
1087C4×Dic53C2412yes—
1088C4×Dic53C2412yes—
1089C4×Dic53C2412yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2412yes—
1092C4×Dic53C2414yes—
1093C4×Dic53C2414yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2414yes—
1096C4×Dic53C2414yes—
1097C23×C53—24no—
1098C23×C53—42no—
1099C23×C53—42no—
1100C23×C53C2512yes—
1101C23×C53C2512yes—
1102C23×C53C2512yes—
1103C23×C53C2511yescharacteristic
1104C22×D53—22no—
1105C22×D53—41no—
1106C22×D53—41no—
1107C22×D53—44no—
1108C22×D53—44no—
1109C22×D53—44no—
1110C22×D53C2511yescharacteristic
1111C22×D53C2511yescharacteristic
1112C22×D53C2514yes—
1113C22×D53C2512yes—
1114Q8×C53—24no—
1115Q8×C53—22no—
1116Q8×C53—24no—
1117Q8×C53—44no—
1118D4×C53—24no—
1119D4×C53—22no—
1120D4×C53—22no—
1121D4×C53—22no—
1122D4×C53—42no—
1123D4×C53—44no—
1124D4×C53—44no—
1125C2×C4×C53—22no—
1126C2×C4×C53—22no—
1127C2×C4×C53—22no—
1128C2×C4×C53—24no—
1129C2×C4×C53—24no—
1130C2×C4×C53—24no—
1131C2×C4×C53—42no—
1132C2×C4×C53—42no—
1133C2×C4×C53—42no—
1134C2×C4×C53—44no—
1135C2×C4×C53—44no—
1136C2×C4×C53—44no—
1137C2×C4×C53C2512yes—
1138C2×C4×C53C2511yescharacteristic
1139C2×C4×C53C2511yescharacteristic
1140C2×C4×C53C2512yes—
1141C2×C4×C53C2514yes—
1142C2×C4×C53C2511yescharacteristic
1143C2×C4×C53C2511yescharacteristic
1144C2×C4×C53C2512yes—
1145C2×C4×C53C2514yes—
1146C2×C4×C53C2512yes—
1147C2×C4×C53C2512yes—
1148C2×C4×C53C2511yescharacteristic
1149C2×C4×C53C2511yescharacteristic
1150C22⋊D53—28no—
1151C22⋊D53—24no—
1152C22⋊D53—44no—
1153C22⋊D53—44no—
1154C22⋊D53—42no—
1155C22⋊D53—42no—
1156C22⋊D53—44no—
1157C22⋊D53—42no—
1158C22⋊D53—42no—
1159C22⋊D53—44no—
1160C22⋊D53—44no—
1161C22⋊D53—42no—
1162C22⋊D53—42no—
1163C22⋊D53—44no—
1164C22⋊D53—42no—
1165C22⋊D53—42no—
1166C2×Dic53—22no—
1167C2×Dic53—24no—
1168C2×Dic53—42no—
1169C2×Dic53—41no—
1170C2×Dic53—41no—
1171C2×Dic53—42no—
1172C2×Dic53—44no—
1173C2×Dic53—42no—
1174C2×Dic53—44no—
1175C2×Dic53C2512yes—
1176C2×Dic53C2512yes—
1177C2×Dic53C2512yes—
1178C2×Dic53C2511yescharacteristic
1179C2×Dic53C2511yescharacteristic
1180C2×Dic53C2514yes—
1181C2×Dic53C2512yes—
1182C2×Dic53C2512yes—
1183C2×Dic53C2512yes—
1184C2×Dic53C2511yescharacteristic
1185C2×Dic53C2511yescharacteristic
1186C2×Dic53C2511yescharacteristic
1187C2×Dic53C2511yescharacteristic
1188C2×Dic53C2512yes—
1189D212—22no—
1190D212—24no—
1191D212—24no—
1192D212—44no—
1193D212—42no—
1194D212—42no—
1195D212—44no—
1196D212—44no—
1197D212—42no—
1198C4×D53—22no—
1199C4×D53—22no—
1200C4×D53—22no—
1201C4×D53—22no—
1202C4×D53—24no—
1203C4×D53—41no—
1204C4×D53—41no—
1205C4×D53—41no—
1206C4×D53—41no—
1207C4×D53—41no—
1208C4×D53—41no—
1209C4×D53—41no—
1210C4×D53—41no—
1211C4×D53—44no—
1212C4×D53—44no—
1213C4×D53—44no—
1214C4×D53—42no—
1215C4×D53—44no—
1216C4×D53—44no—
1217C4×D53—44no—
1218C4×D53—44no—
1219C4×D53—42no—
1220Dic106—22no—
1221Dic106—22no—
1222Dic106—22no—
1223Dic106—42no—
1224Dic106—42no—
1225Dic106—42no—
1226Dic106—42no—
1227Dic106—44no—
1228Dic106—44no—
1229#62827—531nomaximal, Sylow
1230C22×C53—21no—
1231C22×C53—21no—
1232C22×C53—22no—
1233C22×C53—22no—
1234C22×C53—22no—
1235C22×C53—22no—
1236C22×C53—22no—
1237C22×C53—22no—
1238C22×C53—22no—
1239C22×C53—22no—
1240C22×C53—22no—
1241C22×C53—84no—
1242C22×C53#58512yes—
1243C22×C53C2611yescharacteristic
1244C2×D53—22no—
1245C2×D53—21no—
1246C2×D53—21no—
1247C2×D53—21no—
1248C2×D53—21no—
1249C2×D53—24no—
1250C2×D53—24no—
1251C2×D53—24no—
1252C2×D53—21no—
1253C2×D53—21no—
1254C2×D53—22no—
1255C2×D53—22no—
1256C2×D53—44no—
1257C2×D53—164no—
1258C4×C53—22no—
1259C4×C53—21no—
1260C4×C53—21no—
1261C4×C53—22no—
1262C4×C53—24no—
1263C4×C53—21no—
1264C4×C53—21no—
1265C4×C53—22no—
1266C4×C53—24no—
1267C4×C53—22no—
1268C4×C53—22no—
1269C4×C53#58512yes—
1270C4×C53#58512yes—
1271Dic53—22no—
1272Dic53—22no—
1273Dic53—22no—
1274Dic53—22no—
1275Dic53—21no—
1276Dic53—21no—
1277Dic53—24no—
1278Dic53—22no—
1279Dic53—22no—
1280Dic53—21no—
1281Dic53—21no—
1282Dic53—21no—
1283Dic53—21no—
1284Dic53—22no—
1285#3566—534no—
1286#3566—534no—
1287#3565—532no—
1288#3562—532no—
1289#3555—531no—
1290#3554—531no—
1291#3547—531no—
1292#3546—531no—
1293#3542—532no—
1294#3541—532no—
1295#3533—534no—
1296#3524—532no—
1297#3524—532no—
1298#3523—531no—
1299#3522—531no—
1300#3521—532no—
1301#3521—534no—
1302#3521—532no—
1303#3520D5311yescharacteristic, complemented
1304#3519—531no—
1305#3518—531no—
1306#3517—531no—
1307#3515—532no—
1308#3515—531no—
1309#3514—531no—
1310#3514—532no—
1311#3512—532no—
1312#3510—532no—
1313#3506—532no—
1314#3505—532no—
1315#3495—532no—
1316#3494—532no—
1317#3444—531no—
1318#3444—531no—
1319C2×#529—531no—
1320C2×C53—22no—
1321C2×C53—42no—
1322C2×C53—42no—
1323C2×C53—42no—
1324C2×C53C2×#58511yescharacteristic
1325C2×C53C2×#58511yescharacteristic
1326C2×C53C2×#58511yescharacteristic
1327D53—41no—
1328D53—41no—
1329D53—44no—
1330D53—42no—
1331#563—534no—
1332#563—534no—
1333#562—534no—
1334#562—534no—
1335#562—534no—
1336#562—534no—
1337#560—534no—
1338#560—534no—
1339#559—534no—
1340#559—532no—
1341#559—534no—
1342#559—531no—
1343#559—534no—
1344#559—532no—
1345Q82—531no—
1346#557—531no—
1347#557—531no—
1348#557—532no—
1349#557—532no—
1350#556—532no—
1351#556—531no—
1352#556—534no—
1353#556—532no—
1354#556—534no—
1355#556—532no—
1356#556—534no—
1357#556—532no—
1358#556—532no—
1359#556C2×D5311yescharacteristic, complemented
1360#555—532no—
1361#555—534no—
1362#555—534no—
1363#555—531no—
1364#555—532no—
1365#555—532no—
1366#554—532no—
1367#554—532no—
1368#554—534no—
1369#554—531no—
1370#554—531no—
1371#554C2×D5312yescomplemented
1372#553—534no—
1373#553—534no—
1374#553—532no—
1375#553—534no—
1376#553—534no—
1377#553—534no—
1378#553—532no—
1379#553—534no—
1380#553—534no—
1381#553—534no—
1382#553—532no—
1383#553—534no—
1384#553—532no—
1385#553—532no—
1386#553—534no—
1387#553—532no—
1388#552—534no—
1389#552—534no—
1390#552—534no—
1391#552—534no—
1392#552—532no—
1393#552—532no—
1394#552—532no—
1395#552—532no—
1396#552—534no—
1397#552—534no—
1398#552—534no—
1399#552—534no—
1400#552—534no—
1401#552—532no—
1402#552C2×D5312yescomplemented
1403#551—534no—
1404#551—534no—
1405#551—534no—
1406#551—534no—
1407#551—534no—
1408#551—534no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#551C2×D5314yescomplemented
1414#550—532no—
1415#550—532no—
1416#550—532no—
1417#550—531no—
1418#550—531no—
1419D4×Q8—531no—
1420D4×Q8—532no—
1421D4×Q8C2×D5311yescharacteristic, complemented
1422#548—532no—
1423#548—532no—
1424#548—532no—
1425#548—532no—
1426#548—532no—
1427#548C2×D5312yescomplemented
1428#547—532no—
1429#547—534no—
1430#547—532no—
1431#547—532no—
1432#547—534no—
1433#547—532no—
1434#547C2×D5311yescharacteristic, complemented
1435#547C2×D5311yescharacteristic, complemented
1436#546—532no—
1437#546—532no—
1438#546—532no—
1439#546—532no—
1440#546—534no—
1441#546—534no—
1442#546—532no—
1443#546—534no—
1444#546C2×D5312yes—
1445D42—532no—
1446D42—531no—
1447#544—532no—
1448#544—532no—
1449#542—532no—
1450#542—534no—
1451#542—532no—
1452#542—534no—
1453#542—534no—
1454#542—532no—
1455#542—532no—
1456#542—532no—
1457#542—532no—
1458#542—534no—
1459#542—534no—
1460#542—532no—
1461#542—534no—
1462#542C2×D5312yescomplemented
1463#541—534no—
1464#541—534no—
1465#541—534no—
1466#541—532no—
1467#541—532no—
1468#541—532no—
1469#541—532no—
1470#540—534no—
1471#540—532no—
1472#540—532no—
1473#540—534no—
1474#540—532no—
1475#540—532no—
1476#540—534no—
1477#539—534no—
1478#539—534no—
1479#539—534no—
1480#539—534no—
1481#539—534no—
1482#539—534no—
1483#539C2×D5314yescomplemented
1484#538—534no—
1485#538—534no—
1486#538—534no—
1487#538—534no—
1488#538—534no—
1489#538—534no—
1490#538—534no—
1491#538—534no—
1492#538—534no—
1493#537—532no—
1494#537—532no—
1495#536—532no—
1496#536—532no—
1497#535—532no—
1498#535—532no—
1499#535—534no—
1500#534—534no—
1501#533—531no—
1502#533—531no—
1503#533—532no—
1504#533—531no—
1505#533—531no—
1506#533—532no—
1507#533—531no—
1508#533C2×D5311yescharacteristic, complemented
1509#532—532no—
1510#532—531no—
1511#532—531no—
1512#532—531no—
1513#532—531no—
1514#532—532no—
1515#532—531no—
1516#532—531no—
1517#529—532no—
1518#529—532no—
1519#529—531no—
1520#529—532no—
1521#529—532no—
1522#529—531no—
1523#529—534no—
1524#529—532no—
1525#529—532no—
1526#529—532no—
1527#529—532no—
1528#529—532no—
1529#529—532no—
1530#529—532no—
1531#529—532no—
1532#529—532no—
1533#529—532no—
1534#529—531no—
1535#529—531no—
1536#529—531no—
1537#529—531no—
1538#529—531no—
1539#529—531no—
1540#529—532no—
1541#529—531no—
1542#529—531no—
1543#529—532no—
1544#529—532no—
1545#529—532no—
1546#529—532no—
1547#529—534no—
1548#529—532no—
1549#529—534no—
1550#529—531no—
1551#529C2×D5311yescharacteristic, complemented
1552C2×#126—534no—
1553C2×#126—532no—
1554C2×#125—531no—
1555C2×#125—532no—
1556C2×#124—531no—
1557C2×#124—532no—
1558#525—532no—
1559#525—532no—
1560#525—531no—
1561#525—532no—
1562#525—532no—
1563#525—531no—
1564#525—532no—
1565#525—532no—
1566#525C2×D5312yescomplemented
1567C2×#123—532no—
1568C2×C22⋊Q8—531no—
1569C2×C22⋊Q8C2×D5312yescomplemented
1570C2×#121—531no—
1571C2×#121—532no—
1572#520—532no—
1573#520—534no—
1574#520—532no—
1575#520—532no—
1576#520C2×D5312yescomplemented
1577#519—532no—
1578#519—532no—
1579#518—532no—
1580#518—532no—
1581#518—534no—
1582C4×#41—531no—
1583C4×#41—532no—
1584C4×#41—532no—
1585C4×#41—532no—
1586C4×#41—531no—
1587C4×#41—532no—
1588C4×#41—532no—
1589C2×C4×Q8—531no—
1590C2×C4×D4—532no—
1591C2×C4×D4C2×D5311yescharacteristic
1592C2×#117—532no—
1593C22×C42—531no—
1594C53#6282711yescharacteristic, complemented, Sylow
1595C2×#41—531no—
1596C2×#41—532no—
1597C2×#41—532no—
1598C2×#41—532no—
1599C2×#41—531no—
1600C2×#41—534no—
1601C2×#41—532no—
1602C2×#41—532no—
1603C2×#41—532no—
1604C2×#41—532no—
1605C2×#41C22×D5312yes—
1606C2×#41C22×D5312yes—
1607C22×Q8—532no—
1608C22×Q8—531no—
1609C22×Q8C22×D5312yes—
1610C22×D4—532no—
1611C22×D4—534no—
1612C22×D4—532no—
1613C22×D4—532no—
1614C22×D4C22×D5311yescharacteristic
1615C23×C4—531no—
1616C23×C4—531no—
1617C23×C4—531no—
1618C23×C4C22×D5312yes—
1619C4⋊Q8—531no—
1620C4⋊Q8—532no—
1621C4⋊Q8—532no—
1622C4⋊Q8—531no—
1623C4⋊Q8—531no—
1624C4⋊Q8—532no—
1625C4⋊Q8—532no—
1626C4⋊Q8—534no—
1627C4⋊Q8—534no—
1628C4⋊Q8—534no—
1629C4⋊Q8—531no—
1630C4⋊Q8—532no—
1631C4⋊Q8—534no—
1632C4⋊Q8C22×D5311yescharacteristic
1633C4⋊Q8C22×D5311yescharacteristic
1634C4⋊Q8C22×D5312yes—
1635#127—531no—
1636#127—532no—
1637#127—532no—
1638#127—534no—
1639#127—534no—
1640#127—531no—
1641#126—532no—
1642#126—534no—
1643#126—534no—
1644#126—534no—
1645#126—534no—
1646#126—534no—
1647#126—534no—
1648#126—534no—
1649#126—534no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—532no—
1659#126—532no—
1660#126—532no—
1661#126—532no—
1662#126—532no—
1663#126—532no—
1664#126—532no—
1665#126—532no—
1666#126—534no—
1667#126—534no—
1668#126—532no—
1669#126—534no—
1670#126—534no—
1671#126—534no—
1672#126—534no—
1673#126—534no—
1674#126—532no—
1675#126—534no—
1676#126C22×D5314yes—
1677#126C22×D5312yes—
1678#126C22×D5314yes—
1679#125—531no—
1680#125—531no—
1681#125—532no—
1682#125—532no—
1683#125—532no—
1684#125—531no—
1685#125—531no—
1686#125—534no—
1687#125—534no—
1688#125—532no—
1689#125—532no—
1690#125—532no—
1691#125—532no—
1692#125—532no—
1693#125—534no—
1694#125—534no—
1695#125—532no—
1696#125—532no—
1697#125—534no—
1698#125—534no—
1699#125—534no—
1700#125—534no—
1701#125—534no—
1702#125—534no—
1703#125—534no—
1704#125—531no—
1705#125—534no—
1706#125—534no—
1707#125C22×D5312yes—
1708#125C22×D5311yescharacteristic
1709#125C22×D5314yes—
1710#124—532no—
1711#124—532no—
1712#124—532no—
1713#124—532no—
1714#124—534no—
1715#124—534no—
1716#124—531no—
1717#124—531no—
1718#124—532no—
1719#124—531no—
1720#124—531no—
1721#124—532no—
1722#124—534no—
1723#124—534no—
1724#124—534no—
1725#124—532no—
1726#124—532no—
1727#124—534no—
1728#124—534no—
1729#124—534no—
1730#124—534no—
1731#124—534no—
1732#124—534no—
1733#124—534no—
1734#124—534no—
1735#124—534no—
1736#124—532no—
1737#124—532no—
1738#124—531no—
1739#124—534no—
1740#124C22×D5312yes—
1741#124C22×D5311yescharacteristic
1742#124C22×D5314yes—
1743#123—534no—
1744#123—532no—
1745#123—534no—
1746#123—534no—
1747#123—534no—
1748#123—534no—
1749#123—532no—
1750#123—532no—
1751#123—534no—
1752#123—534no—
1753#123—534no—
1754#123—534no—
1755#123—534no—
1756#123—534no—
1757#123—534no—
1758#123—534no—
1759#123—534no—
1760#123—532no—
1761#123—532no—
1762#123—532no—
1763#123—532no—
1764#123—532no—
1765#123—532no—
1766#123—532no—
1767#123—532no—
1768#123—532no—
1769#123—534no—
1770#123—532no—
1771#123—534no—
1772#123—534no—
1773#123—534no—
1774#123—534no—
1775#123—534no—
1776#123—534no—
1777#123—534no—
1778#123—534no—
1779#123—534no—
1780#123—534no—
1781#123—534no—
1782#123—534no—
1783#123—534no—
1784#123—534no—
1785#123—534no—
1786#123—534no—
1787#123C22×D5312yes—
1788#123C22×D5314yes—
1789#123C22×D5314yes—
1790#123C22×D5314yes—
1791#123C22×D5314yes—
1792C22⋊Q8—532no—
1793C22⋊Q8—532no—
1794C22⋊Q8—531no—
1795C22⋊Q8—532no—
1796C22⋊Q8—534no—
1797C22⋊Q8—534no—
1798C22⋊Q8—534no—
1799C22⋊Q8—534no—
1800C22⋊Q8—531no—
1801C22⋊Q8—532no—
1802C22⋊Q8—532no—
1803C22⋊Q8—534no—
1804C22⋊Q8—534no—
1805C22⋊Q8—531no—
1806C22⋊Q8—531no—
1807C22⋊Q8—532no—
1808C22⋊Q8—531no—
1809C22⋊Q8—531no—
1810C22⋊Q8—532no—
1811C22⋊Q8—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—531no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—534no—
1823C22⋊Q8—534no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—532no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8C22×D5311yescharacteristic
1834C22⋊Q8C22×D5312yes—
1835C22⋊Q8C22×D5314yes—
1836C22⋊Q8C22×D5314yes—
1837C22⋊Q8C22×D5312yes—
1838C22⋊Q8C22×D5312yes—
1839C22⋊Q8C22×D5312yes—
1840C22⋊Q8C22×D5312yes—
1841C22⋊Q8C22×D5312yes—
1842C22⋊Q8C22×D5314yes—
1843C22⋊Q8C22×D5314yes—
1844#121—531no—
1845#121—531no—
1846#121—532no—
1847#121—531no—
1848#121—531no—
1849#121—532no—
1850#121—532no—
1851#121—531no—
1852#121—532no—
1853#121—534no—
1854#121—534no—
1855#121—534no—
1856#121—534no—
1857#121—534no—
1858#121—534no—
1859#121—534no—
1860#121—534no—
1861#121—534no—
1862#121—534no—
1863#121—531no—
1864#121—532no—
1865#121—534no—
1866#121—534no—
1867#121—532no—
1868#121—532no—
1869#121—532no—
1870#121—532no—
1871#121—532no—
1872#121—534no—
1873#121—534no—
1874#121—534no—
1875#121—534no—
1876#121—534no—
1877#121—534no—
1878#121—534no—
1879#121—532no—
1880#121—532no—
1881#121—531no—
1882#121—532no—
1883#121—532no—
1884#121—532no—
1885#121—534no—
1886#121—534no—
1887#121—532no—
1888#121—532no—
1889#121—532no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—534no—
1894#121—534no—
1895#121—534no—
1896#121C22×D5311yescharacteristic
1897#121C22×D5312yes—
1898#121C22×D5312yes—
1899#121C22×D5314yes—
1900#120—534no—
1901#120—532no—
1902#120—534no—
1903#120—534no—
1904#120—534no—
1905#120—532no—
1906#120—534no—
1907#120—534no—
1908#120—534no—
1909#120—534no—
1910#120C22×D5314yes—
1911C4×Q8—531no—
1912C4×Q8—532no—
1913C4×Q8—532no—
1914C4×Q8—532no—
1915C4×Q8—532no—
1916C4×Q8—534no—
1917C4×Q8—532no—
1918C4×Q8—534no—
1919C4×Q8—532no—
1920C4×Q8—531no—
1921C4×Q8—532no—
1922C4×Q8—532no—
1923C4×Q8—532no—
1924C4×Q8—532no—
1925C4×Q8—532no—
1926C4×Q8—532no—
1927C4×Q8—534no—
1928C4×Q8—532no—
1929C4×Q8—534no—
1930C4×Q8—531no—
1931C4×Q8—531no—
1932C4×Q8—532no—
1933C4×Q8—531no—
1934C4×Q8—531no—
1935C4×Q8—532no—
1936C4×Q8—531no—
1937C4×Q8—532no—
1938C4×Q8—534no—
1939C4×Q8—532no—
1940C4×Q8—534no—
1941C4×Q8C22×D5312yes—
1942C4×Q8C22×D5312yes—
1943C4×Q8C22×D5311yescharacteristic
1944C4×Q8C22×D5312yes—
1945C4×D4—532no—
1946C4×D4—531no—
1947C4×D4—532no—
1948C4×D4—534no—
1949C4×D4—534no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—532no—
1954C4×D4—532no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—532no—
1958C4×D4—532no—
1959C4×D4—532no—
1960C4×D4—532no—
1961C4×D4—532no—
1962C4×D4—534no—
1963C4×D4—534no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—534no—
1967C4×D4—534no—
1968C4×D4—534no—
1969C4×D4—534no—
1970C4×D4—534no—
1971C4×D4—531no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—534no—
1975C4×D4—532no—
1976C4×D4—532no—
1977C4×D4—534no—
1978C4×D4—532no—
1979C4×D4—532no—
1980C4×D4—532no—
1981C4×D4—532no—
1982C4×D4—532no—
1983C4×D4—532no—
1984C4×D4—532no—
1985C4×D4—532no—
1986C4×D4—534no—
1987C4×D4—532no—
1988C4×D4—534no—
1989C4×D4—532no—
1990C4×D4—532no—
1991C4×D4—532no—
1992C4×D4—532no—
1993C4×D4—532no—
1994C4×D4—534no—
1995C4×D4—534no—
1996C4×D4—534no—
1997C4×D4—534no—
1998C4×D4—534no—
1999C4×D4—534no—
2000C4×D4—532no—
2001C4×D4—534no—
2002C4×D4—532no—
2003C4×D4—534no—
2004C4×D4—531no—
2005C4×D4—532no—
2006C4×D4—534no—
2007C4×D4—534no—
2008C4×D4—532no—
2009C4×D4C22×D5311yescharacteristic
2010C4×D4C22×D5311yescharacteristic
2011C4×D4C22×D5312yes—
2012C4×D4C22×D5311yescharacteristic
2013C4×D4C22×D5312yes—
2014C4×D4C22×D5311yescharacteristic
2015C4×D4C22×D5312yes—
2016C4×D4C22×D5311yescharacteristic
2017C4×D4C22×D5314yes—
2018C4×D4C22×D5314yes—
2019C4×D4C22×D5312yes—
2020C4×D4C22×D5314yes—
2021#117—532no—
2022#117—532no—
2023#117—532no—
2024#117—532no—
2025#117—532no—
2026#117—532no—
2027#117—532no—
2028#117—532no—
2029#117—532no—
2030#117—534no—
2031#117—534no—
2032#117—534no—
2033#117—531no—
2034#117—532no—
2035#117—532no—
2036#117—531no—
2037#117—532no—
2038#117—532no—
2039#117—534no—
2040#117—534no—
2041#117—532no—
2042#117—534no—
2043#117—532no—
2044#117—534no—
2045#117—534no—
2046#117—532no—
2047#117—532no—
2048#117—532no—
2049#117—534no—
2050#117—534no—
2051#117—534no—
2052#117—534no—
2053#117—532no—
2054#117—532no—
2055#117—534no—
2056#117—534no—
2057#117—534no—
2058#117C22×D5312yes—
2059#117C22×D5312yes—
2060#117C22×D5312yes—
2061#117C22×D5314yes—
2062C2×C4⋊C4—532no—
2063C2×C4⋊C4—532no—
2064C2×C4⋊C4—532no—
2065C2×C4⋊C4—531no—
2066C2×C4⋊C4—532no—
2067C2×C4⋊C4—532no—
2068C2×C4⋊C4—532no—
2069C2×C4⋊C4—534no—
2070C2×C4⋊C4—534no—
2071C2×C4⋊C4—534no—
2072C2×C4⋊C4—534no—
2073C2×C4⋊C4—534no—
2074C2×C4⋊C4C22×D5311yescharacteristic
2075C2×C4⋊C4C22×D5312yes—
2076C2×C4⋊C4C22×D5314yes—
2077C2×C4⋊C4C22×D5312yes—
2078C2×C22⋊C4—532no—
2079C2×C22⋊C4—532no—
2080C2×C22⋊C4—532no—
2081C2×C22⋊C4—532no—
2082C2×C22⋊C4—534no—
2083C2×C22⋊C4—534no—
2084C2×C22⋊C4—534no—
2085C2×C22⋊C4—534no—
2086C2×C22⋊C4—534no—
2087C2×C22⋊C4—534no—
2088C2×C22⋊C4C22×D5312yes—
2089C2×C22⋊C4C22×D5314yes—
2090C2×C42—531no—
2091C2×C42—532no—
2092C2×C42—532no—
2093C2×C42—531no—
2094C2×C42—531no—
2095C2×C42—532no—
2096C2×C42—534no—
2097C2×C42—531no—
2098C2×C42—531no—
2099C2×C42—531no—
2100C2×C42—531no—
2101C2×C42—531no—
2102C2×C42—531no—
2103C2×C42—531no—
2104C2×C42—531no—
2105C2×C42C22×D5311yescharacteristic
2106C24—531no—
2107C24—534no—
2108C24C23×D5312yes—
2109#41—44no—
2110#41—44no—
2111#41—2124no—
2112#41—2124no—
2113#41—2124no—
2114#41—2124no—
2115#41—2124no—
2116#41—2128no—
2117#41—2122no—
2118#41—2122no—
2119#41—2124no—
2120#41—2124no—
2121C2×Q8—44no—
2122C2×Q8—531no—
2123C2×Q8—531no—
2124C2×Q8—531no—
2125C2×Q8—532no—
2126C2×Q8—532no—
2127C2×Q8—532no—
2128C2×Q8—532no—
2129C2×Q8—534no—
2130C2×Q8—534no—
2131C2×Q8—2122no—
2132C2×Q8—2124no—
2133C2×Q8C23×D5311yescharacteristic
2134C2×Q8C23×D5312yes—
2135C2×Q8C23×D5312yes—
2136C2×Q8C23×D5314yes—
2137C2×D4—42no—
2138C2×D4—534no—
2139C2×D4—532no—
2140C2×D4—532no—
2141C2×D4—532no—
2142C2×D4—532no—
2143C2×D4—534no—
2144C2×D4—534no—
2145C2×D4—532no—
2146C2×D4—534no—
2147C2×D4—534no—
2148C2×D4—532no—
2149C2×D4—532no—
2150C2×D4—534no—
2151C2×D4—532no—
2152C2×D4—534no—
2153C2×D4—532no—
2154C2×D4—531no—
2155C2×D4—532no—
2156C2×D4—532no—
2157C2×D4—532no—
2158C2×D4—532no—
2159C2×D4—534no—
2160C2×D4—534no—
2161C2×D4—532no—
2162C2×D4—534no—
2163C2×D4—2124no—
2164C2×D4—2124no—
2165C2×D4—2124no—
2166C2×D4—2128no—
2167C2×D4C23×D5311yescharacteristic
2168C2×D4C23×D5311yescharacteristic
2169C2×D4C23×D5312yes—
2170C2×D4C23×D5311yescharacteristic
2171C2×D4C23×D5314yes—
2172C2×D4C23×D5312yes—
2173C2×D4C23×D5314yes—
2174C22×C4—44no—
2175C22×C4—531no—
2176C22×C4—532no—
2177C22×C4—531no—
2178C22×C4—531no—
2179C22×C4—532no—
2180C22×C4—532no—
2181C22×C4—532no—
2182C22×C4—534no—
2183C22×C4—534no—
2184C22×C4—531no—
2185C22×C4—531no—
2186C22×C4—531no—
2187C22×C4—531no—
2188C22×C4—532no—
2189C22×C4—531no—
2190C22×C4—531no—
2191C22×C4—531no—
2192C22×C4—531no—
2193C22×C4—531no—
2194C22×C4—531no—
2195C22×C4—531no—
2196C22×C4—531no—
2197C22×C4—532no—
2198C22×C4—532no—
2199C22×C4—534no—
2200C22×C4—534no—
2201C22×C4—534no—
2202C22×C4—534no—
2203C22×C4—534no—
2204C22×C4—534no—
2205C22×C4—534no—
2206C22×C4—2122no—
2207C22×C4—2122no—
2208C22×C4—2122no—
2209C22×C4C23×D5311yescharacteristic
2210C22×C4C23×D5311yescharacteristic
2211C22×C4C23×D5311yescharacteristic
2212C22×C4C23×D5312yes—
2213C22×C4C23×D5312yes—
2214C22×C4C23×D5312yes—
2215C22×C4C23×D5312yes—
2216C22×C4C23×D5312yes—
2217C22×C4C23×D5314yes—
2218C22×C4C23×D5314yes—
2219C22×C4C23×D5314yes—
2220C22×C4C23×D5312yes—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—532no—
2225C4⋊C4—531no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—531no—
2229C4⋊C4—532no—
2230C4⋊C4—534no—
2231C4⋊C4—534no—
2232C4⋊C4—534no—
2233C4⋊C4—532no—
2234C4⋊C4—532no—
2235C4⋊C4—532no—
2236C4⋊C4—532no—
2237C4⋊C4—534no—
2238C4⋊C4—534no—
2239C4⋊C4—531no—
2240C4⋊C4—532no—
2241C4⋊C4—532no—
2242C4⋊C4—532no—
2243C4⋊C4—532no—
2244C4⋊C4—532no—
2245C4⋊C4—532no—
2246C4⋊C4—532no—
2247C4⋊C4—534no—
2248C4⋊C4—534no—
2249C4⋊C4—534no—
2250C4⋊C4—534no—
2251C4⋊C4—532no—
2252C4⋊C4—532no—
2253C4⋊C4—532no—
2254C4⋊C4—532no—
2255C4⋊C4—531no—
2256C4⋊C4—532no—
2257C4⋊C4—534no—
2258C4⋊C4—532no—
2259C4⋊C4—532no—
2260C4⋊C4—534no—
2261C4⋊C4—534no—
2262C4⋊C4—532no—
2263C4⋊C4—532no—
2264C4⋊C4—532no—
2265C4⋊C4—534no—
2266C4⋊C4—532no—
2267C4⋊C4—532no—
2268C4⋊C4—532no—
2269C4⋊C4—534no—
2270C4⋊C4—534no—
2271C4⋊C4—534no—
2272C4⋊C4—534no—
2273C4⋊C4—534no—
2274C4⋊C4C23×D5312yes—
2275C4⋊C4C23×D5314yes—
2276C4⋊C4C23×D5314yes—
2277C4⋊C4C23×D5311yescharacteristic
2278C4⋊C4C23×D5312yes—
2279C4⋊C4C23×D5311yescharacteristic
2280C4⋊C4C23×D5314yes—
2281C4⋊C4C23×D5311yescharacteristic
2282C4⋊C4C23×D5312yes—
2283C4⋊C4C23×D5314yes—
2284C4⋊C4C23×D5312yes—
2285C4⋊C4C23×D5312yes—
2286C4⋊C4C23×D5314yes—
2287C4⋊C4C23×D5311yescharacteristic
2288C4⋊C4C23×D5314yes—
2289C4⋊C4C23×D5312yes—
2290C4⋊C4C23×D5312yes—
2291C4⋊C4C23×D5312yes—
2292C4⋊C4C23×D5312yes—
2293C22⋊C4—532no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—532no—
2297C22⋊C4—532no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—532no—
2301C22⋊C4—532no—
2302C22⋊C4—532no—
2303C22⋊C4—532no—
2304C22⋊C4—532no—
2305C22⋊C4—534no—
2306C22⋊C4—532no—
2307C22⋊C4—532no—
2308C22⋊C4—532no—
2309C22⋊C4—534no—
2310C22⋊C4—534no—
2311C22⋊C4—532no—
2312C22⋊C4—532no—
2313C22⋊C4—532no—
2314C22⋊C4—532no—
2315C22⋊C4—534no—
2316C22⋊C4—534no—
2317C22⋊C4—534no—
2318C22⋊C4—534no—
2319C22⋊C4—534no—
2320C22⋊C4—534no—
2321C22⋊C4—532no—
2322C22⋊C4—534no—
2323C22⋊C4—532no—
2324C22⋊C4—532no—
2325C22⋊C4—534no—
2326C22⋊C4—534no—
2327C22⋊C4—532no—
2328C22⋊C4—534no—
2329C22⋊C4—532no—
2330C22⋊C4—532no—
2331C22⋊C4—534no—
2332C22⋊C4—534no—
2333C22⋊C4—532no—
2334C22⋊C4—534no—
2335C22⋊C4—534no—
2336C22⋊C4—534no—
2337C22⋊C4—534no—
2338C22⋊C4—534no—
2339C22⋊C4—532no—
2340C22⋊C4—532no—
2341C22⋊C4—532no—
2342C22⋊C4—534no—
2343C22⋊C4C23×D5312yes—
2344C22⋊C4C23×D5314yes—
2345C22⋊C4C23×D5314yes—
2346C22⋊C4C23×D5314yes—
2347C22⋊C4C23×D5312yes—
2348C22⋊C4C23×D5314yes—
2349C22⋊C4C23×D5312yes—
2350C22⋊C4C23×D5312yes—
2351C22⋊C4C23×D5312yes—
2352C22⋊C4C23×D5312yes—
2353C22⋊C4C23×D5312yes—
2354C22⋊C4C23×D5314yes—
2355C22⋊C4C23×D5312yes—
2356C22⋊C4C23×D5312yes—
2357C22⋊C4C23×D5314yes—
2358C42—531no—
2359C42—531no—
2360C42—531no—
2361C42—531no—
2362C42—531no—
2363C42—531no—
2364C42—531no—
2365C42—531no—
2366C42—531no—
2367C42—531no—
2368C42—531no—
2369C42—531no—
2370C42—532no—
2371C42—532no—
2372C42—532no—
2373C42—534no—
2374C42—534no—
2375C42—532no—
2376C42—532no—
2377C42—532no—
2378C42—532no—
2379C42—532no—
2380C42—532no—
2381C42—534no—
2382C42—534no—
2383C42—534no—
2384C42—534no—
2385C42—534no—
2386C42C23×D5311yescharacteristic
2387C42C23×D5311yescharacteristic
2388C42C23×D5311yescharacteristic
2389C42C23×D5311yescharacteristic
2390C42C23×D5314yes—
2391C42C23×D5312yes—
2392C42C23×D5314yes—
2393C23—24no—
2394C23—42no—
2395C23—42no—
2396C23—532no—
2397C23—531no—
2398C23—531no—
2399C23—534no—
2400C23—1062no—
2401C23—2124no—
2402C23—2124no—
2403C23—2124no—
2404C23—2121no—
2405C23—2121no—
2406C23C24×D5312yes—
2407C23C24×D5312yes—
2408C23C24×D5312yes—
2409C23C24×D5311yescharacteristic
2410Q8—22no—
2411Q8—24no—
2412Q8—24no—
2413Q8—44no—
2414Q8—1062no—
2415Q8—1062no—
2416Q8—1062no—
2417Q8—2122no—
2418Q8—2124no—
2419Q8—2122no—
2420Q8—2122no—
2421Q8—2122no—
2422Q8—2124no—
2423D4—24no—
2424D4—22no—
2425D4—22no—
2426D4—22no—
2427D4—42no—
2428D4—44no—
2429D4—44no—
2430D4—1064no—
2431D4—1068no—
2432D4—1062no—
2433D4—1064no—
2434D4—1064no—
2435D4—2124no—
2436D4—2124no—
2437D4—2122no—
2438D4—2122no—
2439D4—2124no—
2440D4—2122no—
2441D4—2124no—
2442D4—2122no—
2443D4—2122no—
2444D4—2122no—
2445D4—2122no—
2446D4—2124no—
2447D4—2124no—
2448D4—2124no—
2449D4—2122no—
2450D4—2122no—
2451D4—2122no—
2452D4—2124no—
2453D4—2122no—
2454D4—2124no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—24no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—24no—
2461C2×C4—42no—
2462C2×C4—42no—
2463C2×C4—42no—
2464C2×C4—44no—
2465C2×C4—44no—
2466C2×C4—44no—
2467C2×C4—531no—
2468C2×C4—531no—
2469C2×C4—531no—
2470C2×C4—531no—
2471C2×C4—532no—
2472C2×C4—532no—
2473C2×C4—532no—
2474C2×C4—531no—
2475C2×C4—532no—
2476C2×C4—531no—
2477C2×C4—534no—
2478C2×C4—532no—
2479C2×C4—532no—
2480C2×C4—532no—
2481C2×C4—1062no—
2482C2×C4—1064no—
2483C2×C4—1062no—
2484C2×C4—1062no—
2485C2×C4—1062no—
2486C2×C4—1062no—
2487C2×C4—1064no—
2488C2×C4—2121no—
2489C2×C4—2121no—
2490C2×C4—2121no—
2491C2×C4—2121no—
2492C2×C4—2121no—
2493C2×C4—2121no—
2494C2×C4—2121no—
2495C2×C4—2121no—
2496C2×C4—2124no—
2497C2×C4—2124no—
2498C2×C4—2124no—
2499C2×C4—2122no—
2500C2×C4—2124no—
2501C2×C4—2124no—
2502C2×C4—2124no—
2503C2×C4—2122no—
2504C2×C4—2124no—
2505C2×C4—2121no—
2506C2×C4—2121no—
2507C2×C4—2124no—
2508C2×C4—2122no—
2509C2×C4—2122no—
2510C2×C4—2122no—
2511C2×C4—2124no—
2512C2×C4C24×D5311yescharacteristic
2513C2×C4C24×D5312yes—
2514C2×C4C24×D5314yes—
2515C2×C4C24×D5311yescharacteristic
2516C2×C4C24×D5311yescharacteristic
2517C2×C4C24×D5314yes—
2518C2×C4C24×D5311yescharacteristic
2519C2×C4C24×D5312yes—
2520C2×C4C24×D5312yes—
2521C2×C4C24×D5312yes—
2522C2×C4C24×D5312yes—
2523C2×C4C24×D5311yescharacteristic
2524C2×C4C24×D5311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—22no—
2529C22—22no—
2530C22—22no—
2531C22—22no—
2532C22—22no—
2533C22—22no—
2534C22—22no—
2535C22—22no—
2536C22—84no—
2537C22—8484no—
2538C22—1061no—
2539C22—1061no—
2540C22—1064no—
2541C22—1062no—
2542C22—1062no—
2543C22—1061no—
2544C22—1061no—
2545C22—1064no—
2546C22—1064no—
2547C22—1061no—
2548C22—1061no—
2549C22—1062no—
2550C22—2124no—
2551C22#1681146012yes—
2552C22C25×D5311yescharacteristic
2553C4—21no—
2554C4—22no—
2555C4—22no—
2556C4—24no—
2557C4—22no—
2558C4—22no—
2559C4—21no—
2560C4—24no—
2561C4—21no—
2562C4—21no—
2563C4—22no—
2564C4—1061no—
2565C4—1061no—
2566C4—1062no—
2567C4—1061no—
2568C4—1061no—
2569C4—1062no—
2570C4—1062no—
2571C4—1062no—
2572C4—1061no—
2573C4—1062no—
2574C4—1061no—
2575C4—1062no—
2576C4—1062no—
2577C4—1064no—
2578C4#1681145812yes—
2579C4#1681145912yes—
2580C2—22no—
2581C2—42no—
2582C2—42no—
2583C2—42no—
2584C2—2122no—
2585C2—2124no—
2586C2—2121no—
2587C2—2121no—
2588C2C2×#1681145811yescharacteristic
2589C2C2×#1681145911yescharacteristic
2590C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3520C2
hypercenter#3520D53
hypocenterC53#62827
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3520

Complements

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

NH ≅ G/Ntype
1. #20289394C2semidirect
2. #20289374C2semidirect
3. #20289363C2semidirect
4. #20289306C2semidirect
5. #20289191C2semidirect
6. #20289187C2semidirect
7. #20289092C2semidirect
8. #20289088C2semidirect
9. #20289017C2semidirect
10. #20289009C2semidirect
11. #20288887C2semidirect
12. #20288817C2semidirect
13. #20288816C2semidirect
14. #20288803C2semidirect
15. #20288798C2semidirect
16. #20288790C2semidirect
17. #20288781C2semidirect
18. #20288776C2semidirect
19. #20288747C2semidirect
20. #20288727C2semidirect
21. #20288720C2semidirect
22. #20288694C2semidirect
23. #20288684C2semidirect
24. #20288679C2semidirect
25. #20288673C2semidirect
26. #20288632C2semidirect
27. #20288607C2semidirect
28. #20288558C2semidirect
29. #20288556C2semidirect
30. #20288461C2semidirect
31. #20288452C2semidirect
32. #20288012C2semidirect
33. #20288009C2semidirect
34. C2×#16811155C2semidirect
35. C53×#3520C2semidirect
36. #16811377C22semidirect
37. #16811375C22semidirect
38. #16811370C22semidirect
39. #16811370C22semidirect
40. #16811369C22semidirect
41. #16811369C22semidirect
42. #16811363C22semidirect
43. #16811361C22semidirect
44. #16811358C22semidirect
45. #16811357C22semidirect
46. #16811356C22semidirect
47. #16811356C22semidirect
48. #16811355C22semidirect
49. #16811355C22semidirect
50. Q8×Dic106C22semidirect
51. #16811352C22semidirect
52. #16811349C22semidirect
53. #16811348C22semidirect
54. #16811348C22semidirect
55. #16811347C22semidirect
56. #16811347C22semidirect
57. #16811345C22semidirect
58. #16811344C22semidirect
59. #16811344C22semidirect
60. #16811344C22semidirect
61. #16811342C22semidirect
62. #16811341C22semidirect
63. #16811340C22semidirect
64. #16811338C22semidirect
65. #16811338C22semidirect
66. #16811338C22semidirect
67. #16811337C22semidirect
68. #16811337C22semidirect
69. #16811336C22semidirect
70. #16811334C22semidirect
71. #16811331C22semidirect
72. #16811330C22semidirect
73. #16811330C22semidirect
74. #16811329C22semidirect
76. #16811322C22semidirect
77. #16811322C22semidirect
79. #16811321C22semidirect
80. #16811321C22semidirect
81. #16811321C22semidirect
82. #16811321C22semidirect
83. #16811321C22semidirect
84. #16811319C22semidirect
85. #16811319C22semidirect
86. #16811319C22semidirect
87. #16811319C22semidirect
88. #16811318C22semidirect
89. #16811318C22semidirect
90. #16811317C22semidirect
91. #16811315C22semidirect
92. #16811315C22semidirect
93. #16811315C22semidirect
94. #16811315C22semidirect
95. #16811315C22semidirect
96. #16811315C22semidirect
97. #16811312C22semidirect
98. #16811311C22semidirect
99. #16811310C22semidirect
100. #16811308C22semidirect
101. #16811308C22semidirect
102. #16811308C22semidirect
103. #16811307C22semidirect
104. #16811306C22semidirect
105. #16811303C22semidirect
106. #16811301C22semidirect
107. #16811300C22semidirect
108. #16811300C22semidirect
109. #16811299C22semidirect
110. #16811299C22semidirect
111. #16811298C22semidirect
112. #16811298C22semidirect
113. #16811296C22semidirect
114. #16811296C22semidirect
115. #16811294C22semidirect
116. #16811294C22semidirect
117. #16811292C22semidirect
118. #16811292C22semidirect
119. #16811291C22semidirect
120. #16811288C22semidirect
121. #16811286C22semidirect
122. #16811285C22semidirect
123. #16811284C22semidirect
124. #16811284C22semidirect
125. #16811282C22semidirect
126. #16811280C22semidirect
127. #16811277C22semidirect
128. #16811277C22semidirect
129. #16811275C22semidirect
130. #16811275C22semidirect
131. #16811272C22semidirect
132. #16811271C22semidirect
133. #16811270C22semidirect
134. #16811269C22semidirect
136. #16811264C22semidirect
137. #16811264C22semidirect
139. #16811260C22semidirect
140. #16811260C22semidirect
141. D4×D212C22semidirect
143. #16811254C22semidirect
144. #16811251C22semidirect
145. #16811247C22semidirect
146. #16811246C22semidirect
147. #16811246C22semidirect
148. #16811246C22semidirect
149. #16811246C22semidirect
150. #16811246C22semidirect
151. #16811246C22semidirect
152. #16811244C22semidirect
153. #16811244C22semidirect
155. #16811241C22semidirect
156. #16811241C22semidirect
157. #16811239C22semidirect
158. #16811236C22semidirect
159. #16811233C22semidirect
160. #16811233C22semidirect
161. #16811232C22semidirect
162. #16811231C22semidirect
163. #16811231C22semidirect
164. #16811230C22semidirect
165. #16811226C22semidirect
166. #16811226C22semidirect
167. #16811226C22semidirect
168. #16811225C22semidirect
169. #16811224C22semidirect
170. #16811224C22semidirect
171. #16811224C22semidirect
172. #16811222C22semidirect
173. #16811222C22semidirect
174. #16811221C22semidirect
175. #16811219C22semidirect
176. #16811217C22semidirect
177. #16811214C22semidirect
178. #16811213C22semidirect
179. #16811212C22semidirect
180. #16811209C22semidirect
181. #16811209C22semidirect
182. #16811208C22semidirect
183. #16811207C22semidirect
184. #16811206C22semidirect
185. #16811206C22semidirect
186. #16811205C22semidirect
187. #16811204C22semidirect
188. #16811201C22semidirect
189. #16811197C22semidirect
190. #16811196C22semidirect
192. #16811188C22semidirect
193. #16811187C22semidirect
194. #16811185C22semidirect
195. #16811179C22semidirect
196. #16811178C22semidirect
197. #16811178C22semidirect
198. #16811178C22semidirect
199. #16811177C22semidirect
200. #16811175C22semidirect
201. #16811175C22semidirect
202. #16811174C22semidirect
203. #16811174C22semidirect
205. #16811172C22semidirect
206. #16811170C22semidirect
207. #16811169C22semidirect
209. #16811168C22semidirect
210. #16811160C22semidirect
211. #16811160C22semidirect
212. #16811160C22semidirect
214. #16811159C22semidirect
215. #16811159C22semidirect
216. #16811159C22semidirect
217. #16811159C22semidirect
218. #16811158C22semidirect
219. #16811158C22semidirect
220. #16811158C22semidirect
222. #16811156C22semidirect
223. #16811156C22semidirect
228. #16811155C22semidirect
229. #16811155C22semidirect
230. #16811155C22semidirect
231. #16811155C22semidirect
232. #16811155C22semidirect
233. #16811155C22semidirect
234. #16811155C22semidirect
235. #16811155C22semidirect
236. #16811155C22semidirect
237. #16811155C22semidirect
238. #16811154C22semidirect
239. #16811152C22semidirect
240. #16811152C22semidirect
241. #16811151C22semidirect
242. #16811151C22semidirect
243. #16811150C22semidirect
244. C2×#13133210C22semidirect
245. #126×D53C22semidirect
246. C2×#13133208C22semidirect
247. C2×#13133208C22semidirect
249. #124×D53C22semidirect
251. #16811136C22semidirect
252. #16811136C22semidirect
253. #16811135C22semidirect
255. #16811133C22semidirect
256. #16811132C22semidirect
257. #16811131C22semidirect
258. C2×#13133199C22semidirect
259. C2×#13133197C22semidirect
262. #16811106C22semidirect
263. #16811104C22semidirect
264. #16811103C22semidirect
265. #16811102C22semidirect
266. #16811101C22semidirect
267. #16811099C22semidirect
268. #16811097C22semidirect
269. #16811096C22semidirect
270. #16811095C22semidirect
271. C4×#11719949C22semidirect
272. C4×#11719949C22semidirect
273. C4×#11719949C22semidirect
274. #16811091C22semidirect
275. #16811091C22semidirect
276. C4×#11719947C22semidirect
277. C4×#11719947C22semidirect
278. C2×C4×Dic106C22semidirect
279. C2×C4×C22⋊D53C22semidirect
280. C2×#13133176C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#556C22semidirect
283. C53×#554C22semidirect
284. C53×#552C22semidirect
285. C53×#551C22semidirect
286. D4×Q8×C53C22semidirect
287. C53×#548C22semidirect
288. C53×#547C22semidirect
289. C53×#547C22semidirect
291. C53×#542C22semidirect
292. C53×#539C22semidirect
293. C53×#533C22semidirect
294. C53×#529C22semidirect
295. C53×#525C22semidirect
296. C2×C22⋊Q8×C53C22semidirect
297. C53×#520C22semidirect
1303. #3520D53semidirect
1359. #556C2×D53semidirect
1371. #554C2×D53semidirect
1402. #552C2×D53semidirect
1413. #551C2×D53semidirect
1421. D4×Q8C2×D53semidirect
1427. #548C2×D53semidirect
1434. #547C2×D53semidirect
1435. #547C2×D53semidirect
1462. #542C2×D53semidirect
1483. #539C2×D53semidirect
1508. #533C2×D53semidirect
1551. #529C2×D53semidirect
1566. #525C2×D53semidirect
1569. C2×C22⋊Q8C2×D53semidirect
1576. #520C2×D53semidirect
1594. C53#62827semidirect

Maximal subgroups

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

subgroupindex
#202893942
#202893742
#202893632
#202893062
#202891912
#202891872
#202890922
#202890882
#202890172
#202890092
#202888872
#202888172
#202888162
#202888032
#202887982
#202887902
#202887812
#202887762
#202887472
#202887272
#202887202
#202886942
#202886842
#202886792
#202886732
#202886322
#202886072
#202885582
#202885562
#202884612
#202884522
#202880122
#202880092
C2×#168111552
C53×#35202
#6282753