Finite Group Databasebeta

← #28293294

Subgroups — #28293294

Order 13568.

6866 conjugacy classes of subgroups.

The subgroup lattice has 2632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288607C212yesmaximal, complemented
2#20288604C212yesmaximal, complemented
3#20288603C214yesmaximal, complemented
4#20288597C212yesmaximal, complemented
5#20288594C212yesmaximal, complemented
6#20288593C214yesmaximal, complemented
7#20288578C212yesmaximal, complemented
8#20288574C212yesmaximal, complemented
9#20288574C212yesmaximal, complemented
10#20288570C212yesmaximal, complemented
11#20288470C211yesmaximal, characteristic, complemented
12#20288469C211yesmaximal, characteristic, complemented
13#20288468C211yesmaximal, characteristic, complemented
14#20288467C211yesmaximal, characteristic, complemented
15#20288466C212yesmaximal, complemented
16#20288464C211yesmaximal, characteristic, complemented
17#20288463C212yesmaximal, complemented
18#20288461C211yesmaximal, characteristic, complemented
19#20288460C212yesmaximal, complemented
20#20288457C211yesmaximal, characteristic, complemented
21#20288456C212yesmaximal, complemented
22#20288410C214yesmaximal, complemented
23#20288406C214yesmaximal, complemented
24#20288147C212yesmaximal, complemented
25#20288146C212yesmaximal, complemented
26#20288141C212yesmaximal, complemented
27#20288140C212yesmaximal, complemented
28#20288119C211yesmaximal, characteristic, complemented
29#20288045C211yesmaximal, characteristic
30C2×#16811196C211yesmaximal, characteristic, complemented
31#536×D53C211yesmaximal, characteristic, complemented
32#20287916C211yesmaximal, characteristic, complemented
33#20287915C211yesmaximal, characteristic, complemented
34#519×D53C211yesmaximal, characteristic, complemented
35C53×#3495C211yesmaximal, characteristic, complemented
36C22×#11719945C2211yescharacteristic
37C2×#41×D53C2211yescharacteristic
38C22×Q8×D53C2211yescharacteristic
39#16811357C2214yescomplemented
40#16811357C2214yescomplemented
41#16811356C2214yescomplemented
42#16811355C2214yescomplemented
43#16811350C2214yescomplemented
44#16811350C2214yescomplemented
45#16811350C2214yescomplemented
46#16811349C2214yescomplemented
47#16811347C2212yescomplemented
48#16811346C2212yescomplemented
49#16811344C2212yescomplemented
50#16811344C2212yescomplemented
51#16811344C2214yescomplemented
52#16811344C2214yescomplemented
53#16811343C2212yescomplemented
54#16811341C2214yescomplemented
55#16811341C2214yescomplemented
56#16811341C2212yescomplemented
57#16811341C2212yescomplemented
58#16811340C2214yescomplemented
59#16811340C2214yescomplemented
60#16811340C2214yescomplemented
61#16811340C2214yescomplemented
62#16811334C2212yescomplemented
63#16811333C2212yescomplemented
64#16811331C2212yescomplemented
65#16811331C2212yescomplemented
66#16811330C2212yescomplemented
67#16811328C2212yescomplemented
68#16811328C2212yescomplemented
69#16811315C2212yescomplemented
70#16811315C2212yescomplemented
71#16811315C2214yescomplemented
72#16811314C2212yescomplemented
73#16811314C2212yescomplemented
74#16811314C2214yescomplemented
75#16811313C2212yescomplemented
76#16811313C2212yescomplemented
77#16811313C2214yescomplemented
78#16811312C2212yescomplemented
79#16811312C2212yescomplemented
80#16811312C2214yescomplemented
81#16811311C2212yescomplemented
82#16811311C2212yescomplemented
83#16811311C2214yescomplemented
84#16811310C2214yescomplemented
85#16811310C2214yescomplemented
86#16811309C2214yescomplemented
87#16811309C2214yescomplemented
88#16811308C2212yescomplemented
89#16811308C2212yescomplemented
90#16811308C2214yescomplemented
91#16811307C2212yescomplemented
92#16811307C2212yescomplemented
93#16811307C2214yescomplemented
94#16811306C2214yescomplemented
95#16811306C2214yescomplemented
96#16811305C2214yescomplemented
97#16811305C2214yescomplemented
98#16811304C2214yescomplemented
99#16811303C2214yescomplemented
100#16811302C2214yescomplemented
101#16811302C2214yescomplemented
102#16811301C2214yescomplemented
103#16811300C2214yescomplemented
104#16811300C2214yescomplemented
105#16811299C2214yescomplemented
106#16811299C2214yescomplemented
107#16811298C2214yescomplemented
108#16811298C2214yescomplemented
109#16811297C2214yescomplemented
110#16811297C2214yescomplemented
111#16811296C2214yescomplemented
112#16811296C2214yescomplemented
113#16811254C2211yescharacteristic, complemented
114#16811253C2212yescomplemented
115#16811253C2212yescomplemented
116#16811251C2211yescharacteristic, complemented
117#16811251C2211yescharacteristic, complemented
118#16811250C2212yescomplemented
119#16811250C2212yescomplemented
120#16811248C2214yes—
121#16811247C2212yescomplemented
122#16811246C2212yescomplemented
123#16811245C2212yescomplemented
124#16811244C2212yescomplemented
125#16811243C2214yescomplemented
126#16811242C2212yescomplemented
127#16811241C2214yescomplemented
128#16811240C2212yescomplemented
129#16811239C2214yescomplemented
130#16811238C2212yescomplemented
131#16811237C2214yescomplemented
132#16811236C2212yescomplemented
133#16811235C2212yescomplemented
134#16811234C2212yescomplemented
135#16811233C2212yescomplemented
136#16811233C2212yescomplemented
137#16811232C2214yescomplemented
138#16811232C2214yescomplemented
139#16811231C2212yescomplemented
140#16811231C2212yescomplemented
141#16811230C2214yescomplemented
142#16811230C2214yescomplemented
143#16811221C2214yescomplemented
144#16811221C2214yescomplemented
145#16811219C2214yescomplemented
146#16811219C2214yescomplemented
147#16811216C2214yescomplemented
148#16811216C2214yescomplemented
149#16811214C2214yescomplemented
150#16811214C2214yescomplemented
151#16811203C2211yescharacteristic
152#16811203C2211yescharacteristic
153#16811202C2211yescharacteristic
154#16811202C2211yescharacteristic
155#16811199C2211yescharacteristic
156#16811198C2212yescomplemented
157#16811197C2211yescharacteristic
158#16811196C2212yes—
159#16811196C2212yes—
160#16811196C2212yes—
161#16811196C2212yes—
162#16811196C2211yescharacteristic
163#16811196C2211yescharacteristic
164#16811196C2212yescomplemented
165#16811196C2212yescomplemented
166#16811196C2212yescomplemented
167#16811196C2212yescomplemented
168#16811196C2212yescomplemented
169#16811196C2212yescomplemented
170#16811195C2214yes—
171#16811195C2212yes—
172#16811194C2211yescharacteristic
173#16811193C2212yescomplemented
174#16811189C2211yescharacteristic
175#16811189C2211yescharacteristic
176#16811188C2212yes—
177#16811184C2212yes—
178#16811183C2212yes—
179#16811180C2212yescomplemented
180#16811179C2212yescomplemented
181#16811179C2214yescomplemented
182#16811179C2212yescomplemented
183#16811178C2212yescomplemented
184#16811178C2212yescomplemented
185#16811178C2212yescomplemented
186#16811178C2212yescomplemented
187#16811177C2214yescomplemented
188#16811177C2212yescomplemented
189#16811177C2212yescomplemented
190#16811176C2214yescomplemented
191#16811175C2214yescomplemented
192#16811175C2214yescomplemented
193#16811175C2212yescomplemented
194#16811175C2212yescomplemented
195#16811170C2212yes—
196#16811170C2212yes—
197C2×#13133216C2212yescomplemented
198C4⋊Q8×D53C2212yescomplemented
199#16811160C2214yescomplemented
200#16811160C2212yescomplemented
201#16811159C2212yescomplemented
202#16811158C2214yescomplemented
203#16811158C2212yescomplemented
204#16811157C2212yescomplemented
205#16811156C2214yescomplemented
206#16811156C2214yescomplemented
207#16811156C2214yescomplemented
208#16811155C2214yescomplemented
209#16811155C2212yescomplemented
210#16811154C2212yescomplemented
211#16811153C2214yescomplemented
212#16811152C2214yescomplemented
213#16811152C2212yescomplemented
214#16811151C2214yescomplemented
215#16811151C2214yescomplemented
216#16811151C2214yescomplemented
217#16811150C2214yescomplemented
218C2×#13133203C2212yescomplemented
219#124×D53C2212yescomplemented
220#16811135C2211yescharacteristic
221#16811134C2211yescharacteristic
222#16811132C2212yes—
223#16811132C2212yes—
224#16811130C2211yescharacteristic
225C2×#13133202C2212yes—
226C2×#13133199C2212yes—
227#123×D53C2214yes—
228C2×#13133197C2211yescharacteristic, complemented
229C2×#13133196C2211yescharacteristic, complemented
230C2×#13133193C2211yescharacteristic, complemented
231C22⋊Q8×D53C2212yescomplemented
232C22⋊Q8×D53C2212yescomplemented
233#16811106C2211yescharacteristic
234#16811104C2211yescharacteristic
235#16811104C2211yescharacteristic
236#16811104C2211yescharacteristic
237#16811104C2211yescharacteristic, complemented
238#16811104C2212yescomplemented
239#16811104C2211yescharacteristic, complemented
240#16811103C2211yescharacteristic
241#16811103C2211yescharacteristic
242#16811103C2211yescharacteristic
243#16811103C2211yescharacteristic, complemented
244#16811103C2212yescomplemented
245#16811103C2211yescharacteristic, complemented
246#16811101C2211yescharacteristic, complemented
247#16811100C2212yescomplemented
248#16811100C2214yescomplemented
249#16811100C2211yescharacteristic, complemented
250#16811100C2211yescharacteristic, complemented
251#16811099C2212yescomplemented
252#16811099C2212yescomplemented
253#16811099C2212yescomplemented
254#16811099C2212yescomplemented
255#16811099C2212yescomplemented
256#16811097C2212yes—
257#16811096C2212yes—
258#16811096C2212yescomplemented
259#16811095C2214yes—
260#16811095C2212yescomplemented
261C4×#11719949C2212yescomplemented
262C4×#11719945C2212yes—
263C4×#11719945C2212yescomplemented
264#16811091C2212yes—
265#16811091C2212yescomplemented
266C4×#11719947C2214yes—
267C4×#11719947C2212yescomplemented
268C4×Q8×D53C2212yescomplemented
269C4×Q8×D53C2212yescomplemented
270C4×Q8×D53C2212yescomplemented
271C4×Q8×D53C2212yescomplemented
272C2×#13133176C2211yescharacteristic, complemented
273C2×#13133175C2211yescharacteristic
274C2×#13133175C2212yescomplemented
275#117×D53C2211yescharacteristic
276#117×D53C2211yescharacteristic
277#117×D53C2214yes—
278#117×D53C2211yescharacteristic
279#117×D53C2212yescomplemented
280#117×D53C2211yescharacteristic, complemented
281#117×D53C2211yescharacteristic, complemented
282C53×#556C2212yescomplemented
283C53×#554C2212yescomplemented
284C53×#552C2212yescomplemented
285C53×#552C2212yescomplemented
286C53×#552C2214yescomplemented
287C53×#551C2214yescomplemented
288C53×#544C2211yescharacteristic, complemented
289C53×#542C2212yescomplemented
290C53×#541C2212yescomplemented
291C53×#536C2211yescharacteristic
292C53×#533C2212yescomplemented
293C53×#529C2212yescomplemented
294C53×#525C2211yescharacteristic
295C2×C22⋊Q8×C53C2211yescharacteristic, complemented
296C53×#520C2211yescharacteristic
297C53×#519C2211yescharacteristic, complemented
298C2×#117×C53C2211yescharacteristic, complemented
299C2×#11719949C2311yescharacteristic
300C2×#11719945—28no—
301C2×#11719945C2311yescharacteristic
302C2×#11719945C2311yescharacteristic
303C2×#11719945C2311yescharacteristic
304C2×#11719945C2311yescharacteristic
305C2×#11719945C2311yescharacteristic
306C2×#11719945C2311yescharacteristic
307C2×#11719945C2311yescharacteristic
308C2×#11719945C2312yes—
309C2×#11719945C2311yescharacteristic
310C2×#11719945C2311yescharacteristic
311C2×#11719947C2312yes—
312C2×#11719947C2311yescharacteristic
313#41×D53—28no—
314C22×Dic106C2311yescharacteristic
315C22×Dic106C2312yes—
316C22×Dic106C2311yescharacteristic
317C2×Q8×D53—28no—
318C2×Q8×D53C2312yes—
319C2×Q8×D53C2312yes—
320C2×Q8×D53C2312yes—
321C2×Q8×D53C2312yes—
322C2×Q8×D53C2311yescharacteristic
323C22×D212C2311yescharacteristic
324C22×C22⋊D53C2311yescharacteristic
325C22×C22⋊D53C2311yescharacteristic
326C2×D4×D53C2312yes—
327C2×D4×D53C2311yescharacteristic
328C22×C4×D53C2312yes—
329C22×C4×D53C2311yescharacteristic
330C22×C4×D53C2312yes—
331C22×C4×D53C2311yescharacteristic
332#13133217C2312yes—
333#13133217C2312yes—
334#13133217C2312yes—
335#13133216C2312yes—
336#13133216C2312yes—
337#13133216C2314yes—
338#13133216C2314yes—
339#13133216C2314yes—
340#13133216C2314yes—
341#13133216C2312yes—
342#13133216C2312yes—
343#13133216C2314yes—
344#13133216C2314yes—
345#13133216C2314yes—
346#13133216C2312yes—
347#13133216C2312yes—
348#13133215C2312yes—
349#13133215C2312yes—
350#13133215C2314yes—
351#13133213C2312yes—
352#13133213C2312yes—
353#13133212C2314yes—
354#13133212C2314yes—
355#13133212C2314yes—
356#13133212C2314yes—
357#13133212C2314yes—
358#13133212C2314yes—
359#13133212C2314yes—
360#13133212C2314yes—
361#13133212C2314yes—
362#13133212C2314yes—
363#13133212C2314yes—
364#13133212C2314yes—
365#13133211C2314yes—
366#13133211C2314yes—
367#13133211C2314yes—
368#13133211C2314yes—
369#13133210C2314yes—
370#13133210C2314yes—
371#13133210C2314yes—
372#13133210C2314yes—
373#13133210C2314yes—
374#13133210C2314yes—
375#13133210C2314yes—
376#13133210C2314yes—
377#13133210C2314yes—
378#13133210C2314yes—
379#13133210C2314yes—
380#13133210C2314yes—
381#13133209C2314yes—
382#13133209C2314yes—
383#13133209C2314yes—
384#13133209C2312yes—
385#13133209C2312yes—
386#13133208C2312yes—
387#13133208C2312yes—
388#13133208C2314yes—
389#13133208C2314yes—
390#13133208C2314yes—
391#13133208C2314yes—
392#13133208C2314yes—
393#13133208C2314yes—
394#13133208C2312yes—
395#13133208C2312yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2314yes—
399#13133207C2314yes—
400#13133207C2314yes—
401#13133207C2314yes—
402#13133207C2314yes—
403#13133207C2314yes—
404#13133207C2314yes—
405#13133207C2314yes—
406#13133207C2314yes—
407#13133207C2314yes—
408#13133207C2314yes—
409#13133207C2314yes—
410#13133206C2314yes—
411#13133206C2312yes—
412#13133205C2314yes—
413#13133205C2312yes—
414#13133204C2314yes—
415#13133204C2312yes—
416#13133203C2314yes—
417#13133203C2314yes—
418#13133203C2314yes—
419#13133203C2314yes—
420#13133203C2312yes—
421#13133203C2312yes—
422#13133203C2312yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2314yes—
426#13133203C2312yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2314yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2312yes—
437#13133202C2312yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133201C2314yes—
443#13133201C2314yes—
444#13133201C2314yes—
445#13133201C2312yes—
446#13133200C2314yes—
447#13133200C2314yes—
448#13133200C2314yes—
449#13133200C2312yes—
450#13133199C2314yes—
451#13133199C2314yes—
452#13133199C2314yes—
453#13133199C2314yes—
454#13133199C2314yes—
455#13133199C2314yes—
456#13133199C2312yes—
457#13133199C2312yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133198C2314yes—
463#13133198C2314yes—
464#13133198C2314yes—
465#13133198C2312yes—
466#13133197C2314yes—
467#13133197C2314yes—
468#13133197C2314yes—
469#13133197C2312yes—
470#13133197C2312yes—
471#13133197C2312yes—
472#13133197C2312yes—
473#13133197C2312yes—
474#13133197C2312yes—
475#13133197C2311yescharacteristic
476#13133197C2311yescharacteristic
477#13133197C2314yes—
478#13133196C2314yes—
479#13133196C2314yes—
480#13133196C2314yes—
481#13133196C2312yes—
482#13133196C2312yes—
483#13133196C2312yes—
484#13133196C2312yes—
485#13133196C2312yes—
486#13133196C2312yes—
487#13133196C2311yescharacteristic
488#13133196C2311yescharacteristic
489#13133195C2314yes—
490#13133195C2314yes—
491#13133195C2314yes—
492#13133195C2314yes—
493#13133195C2314yes—
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2314yes—
497#13133195C2312yes—
498#13133195C2312yes—
499#13133195C2314yes—
500#13133195C2314yes—
501#13133194C2314yes—
502#13133194C2314yes—
503#13133194C2314yes—
504#13133194C2314yes—
505#13133194C2314yes—
506#13133194C2314yes—
507#13133194C2314yes—
508#13133194C2314yes—
509#13133194C2312yes—
510#13133194C2312yes—
511#13133193C2314yes—
512#13133193C2314yes—
513#13133193C2314yes—
514#13133193C2312yes—
515#13133193C2312yes—
516#13133193C2312yes—
517#13133193C2312yes—
518#13133193C2312yes—
519#13133193C2312yes—
520#13133193C2311yescharacteristic
521#13133193C2311yescharacteristic
522#13133193C2314yes—
523#13133192C2311yescharacteristic
524#13133192C2311yescharacteristic
525#13133192C2312yes—
526#13133192C2312yes—
527#13133191C2311yescharacteristic
528#13133191C2311yescharacteristic
529#13133190C2312yes—
530#13133190C2312yes—
531#13133190C2312yes—
532#13133190C2312yes—
533#13133190C2312yes—
534#13133190C2312yes—
535#13133189C2312yes—
536#13133189C2312yes—
537#13133188C2311yescharacteristic
538#13133188C2311yescharacteristic
539#13133188C2312yes—
540#13133188C2312yes—
541#13133187C2312yes—
542#13133187C2312yes—
543#13133187C2312yes—
544#13133186C2312yes—
545#13133185C2312yes—
546#13133185C2312yes—
547#13133185C2312yes—
548Q8×Dic53C2312yes—
549Q8×Dic53C2314yes—
550Q8×Dic53C2312yes—
551Q8×Dic53C2312yes—
552Q8×Dic53C2312yes—
553Q8×Dic53C2314yes—
554Q8×Dic53C2312yes—
555C4×Dic106C2314yes—
556C4×Dic106C2314yes—
557C4×Dic106C2314yes—
558C4×Dic106C2312yes—
559C4×Dic106C2312yes—
560C4×Dic106C2312yes—
561C4×Dic106C2314yes—
562C4×Dic106C2314yes—
563C4×Dic106C2314yes—
564C4×Dic106C2312yes—
565C4×Dic106C2314yes—
566C4×Dic106C2314yes—
567C4×Dic106C2312yes—
568C4×Dic106C2312yes—
569C4×Dic106C2312yes—
570C4×Dic106C2312yes—
571C4×Dic106C2312yes—
572#13133182C2314yes—
573#13133182C2314yes—
574#13133182C2312yes—
575#13133182C2314yes—
576#13133182C2312yes—
577#13133182C2314yes—
578#13133182C2312yes—
579#13133182C2314yes—
580#13133182C2314yes—
581#13133182C2314yes—
582#13133182C2314yes—
583#13133182C2314yes—
584#13133182C2314yes—
585#13133182C2312yes—
586#13133182C2314yes—
587#13133182C2312yes—
588#13133182C2312yes—
589#13133182C2312yes—
590#13133182C2312yes—
591#13133182C2312yes—
592C4×D212C2312yes—
593C4×D212C2314yes—
594C4×D212C2312yes—
595C4×D212C2312yes—
596C4×D212C2312yes—
597C4×D212C2312yes—
598C4×D212C2312yes—
599C4×D212C2314yes—
600C4×D212C2312yes—
601D4×Dic53C2314yes—
602D4×Dic53C2314yes—
603D4×Dic53C2312yes—
604#13133179C2312yes—
605#13133179C2314yes—
606#13133179C2312yes—
607#13133179C2312yes—
608#13133179C2312yes—
609#13133179C2314yes—
610#13133179C2312yes—
611C4×C22⋊D53C2314yes—
612C4×C22⋊D53C2314yes—
613C4×C22⋊D53C2314yes—
614C4×C22⋊D53C2312yes—
615C4×C22⋊D53C2312yes—
616C4×C22⋊D53C2312yes—
617C4×C22⋊D53C2312yes—
618C4×C22⋊D53C2312yes—
619C4×C22⋊D53C2312yes—
620C4×C22⋊D53C2312yes—
621C4×C22⋊D53C2314yes—
622C4×C22⋊D53C2312yes—
623C4×C22⋊D53C2314yes—
624C4×C22⋊D53C2312yes—
625C4×C22⋊D53C2312yes—
626C4×C22⋊D53C2312yes—
627C4×C22⋊D53C2312yes—
628#13133177C2312yes—
629#13133177C2314yes—
630#13133177C2314yes—
631#13133177C2314yes—
632#13133177C2312yes—
633#13133177C2314yes—
634#13133177C2312yes—
635#13133177C2312yes—
636#13133177C2314yes—
637#13133177C2312yes—
638#13133177C2312yes—
639#13133177C2312yes—
640#13133177C2312yes—
641#13133176C2314yes—
642#13133176C2314yes—
643#13133176C2314yes—
644#13133176C2311yescharacteristic
645#13133176C2312yes—
646#13133176C2312yes—
647#13133176C2311yescharacteristic
648#13133176C2311yescharacteristic
649#13133176C2311yescharacteristic
650#13133176C2311yescharacteristic
651#13133176C2312yes—
652#13133175C2314yes—
653#13133175C2314yes—
654#13133175C2314yes—
655#13133175C2314yes—
656#13133175C2314yes—
657#13133175C2314yes—
658#13133175C2314yes—
659#13133175C2311yescharacteristic
660#13133175C2312yes—
661#13133175C2311yescharacteristic
662#13133175C2312yes—
663#13133175C2311yescharacteristic
664#13133175C2311yescharacteristic
665#13133175C2311yescharacteristic
666#13133175C2311yescharacteristic
667#13133175C2311yescharacteristic
668#13133175C2311yescharacteristic
669#13133175C2311yescharacteristic
670#13133175C2311yescharacteristic
671#13133175C2312yes—
672#13133175C2312yes—
673#13133175C2312yes—
674#13133175C2312yes—
675#13133175C2314yes—
676#13133174C2314yes—
677#13133174C2314yes—
678#13133174C2314yes—
679#13133174C2314yes—
680#13133174C2314yes—
681#13133174C2314yes—
682#13133174C2314yes—
683#13133174C2312yes—
684#13133174C2312yes—
685#13133174C2312yes—
686#13133174C2312yes—
687#13133174C2312yes—
688#13133173C2314yes—
689#13133173C2314yes—
690#13133173C2314yes—
691#13133173C2314yes—
692#13133173C2314yes—
693#13133173C2314yes—
694#13133173C2312yes—
695#13133173C2312yes—
696#13133173C2312yes—
697#13133173C2312yes—
698#13133173C2312yes—
699#13133173C2314yes—
700C2×C4⋊Dic53C2312yes—
701C2×C4⋊Dic53C2311yescharacteristic
702C2×C4⋊Dic53C2312yes—
703C2×C4⋊Dic53C2311yescharacteristic
704C2×C4⋊Dic53C2311yescharacteristic
705C2×#11719919C2312yes—
706C2×#11719919C2312yes—
707C4⋊C4×D53C2314yes—
708C4⋊C4×D53C2314yes—
709C4⋊C4×D53C2311yescharacteristic
710C4⋊C4×D53C2312yes—
711C4⋊C4×D53C2311yescharacteristic
712C4⋊C4×D53C2311yescharacteristic
713C4⋊C4×D53C2312yes—
714C4⋊C4×D53C2311yescharacteristic
715C4⋊C4×D53C2311yescharacteristic
716C4⋊C4×D53C2311yescharacteristic
717C4⋊C4×D53C2311yescharacteristic
718C4⋊C4×D53C2311yescharacteristic
719C4⋊C4×D53C2314yes—
720C4⋊C4×D53C2314yes—
721C4⋊C4×D53C2311yescharacteristic
722C4⋊C4×D53C2311yescharacteristic
723C2×C22⋊Dic53C2312yes—
724C2×C22⋊Dic53C2312yes—
725C2×#11719921C2312yes—
726C2×#11719921C2314yes—
727C2×#11719921C2312yes—
728C2×#11719921C2312yes—
729C22⋊C4×D53C2312yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2312yes—
732C22⋊C4×D53C2314yes—
733C22⋊C4×D53C2314yes—
734C22⋊C4×D53C2312yes—
735C22⋊C4×D53C2312yes—
736C22⋊C4×D53C2312yes—
737C2×C4×Dic53C2312yes—
738C2×C4×Dic53C2314yes—
739C2×C4×Dic53C2312yes—
740C42×D53C2312yes—
741C42×D53C2314yes—
742C42×D53C2314yes—
743C42×D53C2312yes—
744C42×D53C2312yes—
745C42×D53C2314yes—
746C42×D53C2312yes—
747C42×D53C2312yes—
748C2×#41×C53C2311yescharacteristic
749C22×Q8×C53C2311yescharacteristic
750C23×C4×C53C2311yescharacteristic
751C4⋊Q8×C53C2312yes—
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2312yes—
754#126×C53C2314yes—
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#125×C53C2314yes—
759#125×C53C2314yes—
760#125×C53C2312yes—
761#125×C53C2312yes—
762#125×C53C2314yes—
763#124×C53C2314yes—
764#124×C53C2312yes—
765#123×C53C2314yes—
766#123×C53C2314yes—
767#123×C53C2314yes—
768#123×C53C2312yes—
769C22⋊Q8×C53C2314yes—
770C22⋊Q8×C53C2314yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2312yes—
775C22⋊Q8×C53C2311yescharacteristic
776C22⋊Q8×C53C2311yescharacteristic
777C22⋊Q8×C53C2314yes—
778C22⋊Q8×C53C2312yes—
779C22⋊Q8×C53C2312yes—
780#121×C53C2311yescharacteristic
781#121×C53C2311yescharacteristic
782#120×C53C2312yes—
783C4×Q8×C53C2312yes—
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2312yes—
786C4×Q8×C53C2312yes—
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2314yes—
789C4×D4×C53C2314yes—
790C4×D4×C53C2312yes—
791C4×D4×C53C2314yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2312yes—
794#117×C53C2311yescharacteristic
795#117×C53C2312yes—
796#117×C53C2311yescharacteristic
797#117×C53C2311yescharacteristic
798#117×C53C2312yes—
799#117×C53C2311yescharacteristic
800#117×C53C2314yes—
801#117×C53C2314yes—
802#117×C53C2311yescharacteristic
803#117×C53C2312yes—
804#117×C53C2314yes—
805C2×C4⋊C4×C53C2311yescharacteristic
806C2×C4⋊C4×C53C2311yescharacteristic
807C2×C4⋊C4×C53C2311yescharacteristic
808C2×C4⋊C4×C53C2312yes—
809C2×C4⋊C4×C53C2312yes—
810C2×C22⋊C4×C53C2312yes—
811C2×C22⋊C4×C53C2312yes—
812C2×C42×C53C2312yes—
813C24×C53C2411yescharacteristic
814C23×D53C2412yes—
815C23×D53C2411yescharacteristic
816C23×D53C2411yescharacteristic
817#41×C53—24no—
818C2×Q8×C53—24no—
819C2×Q8×C53C2412yes—
820C2×Q8×C53C2412yes—
821C2×Q8×C53C2411yescharacteristic
822C2×Q8×C53C2414yes—
823C2×D4×C53C2412yes—
824C2×D4×C53C2411yescharacteristic
825C2×D4×C53C2412yes—
826C2×D4×C53C2412yes—
827C22×C4×C53—24no—
828C22×C4×C53C2411yescharacteristic
829C22×C4×C53C2412yes—
830C22×C4×C53C2411yescharacteristic
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2412yes—
833C22×C4×C53C2411yescharacteristic
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2412yes—
836C22×C4×C53C2412yes—
837C22×C4×C53C2412yes—
838C22×C4×C53C2414yes—
839C22×C4×C53C2411yescharacteristic
840C2×C22⋊D53—24no—
841C2×C22⋊D53—24no—
842C2×C22⋊D53C2411yescharacteristic
843C2×C22⋊D53C2411yescharacteristic
844C2×C22⋊D53C2411yescharacteristic
845C2×C22⋊D53C2411yescharacteristic
846C2×C22⋊D53C2412yes—
847C2×C22⋊D53C2412yes—
848C2×C22⋊D53C2412yes—
849C2×C22⋊D53C2411yescharacteristic
850C2×C22⋊D53C2411yescharacteristic
851C2×C22⋊D53C2411yescharacteristic
852C2×C22⋊D53C2411yescharacteristic
853C2×C22⋊D53C2412yes—
854C2×C22⋊D53C2412yes—
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2412yes—
857C22×Dic53C2412yes—
858C22×Dic53C2412yes—
859C22×Dic53C2411yescharacteristic
860C22×Dic53C2412yes—
861C22×Dic53C2414yes—
862C22×Dic53C2412yes—
863C22×Dic53C2412yes—
864C22×Dic53C2411yescharacteristic
865#11719949—24no—
866Q8×D53—28no—
867Q8×D53—28no—
868Q8×D53—28no—
869Q8×D53—28no—
870Q8×D53—24no—
871#11719947—28no—
872#11719947—24no—
873D4×D53—28no—
874D4×D53—24no—
875#11719945—24no—
876#11719945—28no—
877#11719945—24no—
878#11719945—24no—
879#11719945—24no—
880#11719945—24no—
881#11719945—24no—
882#11719945—24no—
883#11719945—24no—
884#11719945—24no—
885C2×D212—24no—
886C2×D212C2411yescharacteristic
887C2×D212C2411yescharacteristic
888C2×D212C2412yes—
889C2×D212C2411yescharacteristic
890C2×D212C2411yescharacteristic
891C2×D212C2411yescharacteristic
892C2×D212C2412yes—
893C2×D212C2412yes—
894C2×C4×D53—28no—
895C2×C4×D53—24no—
896C2×C4×D53—28no—
897C2×C4×D53#4118yes—
898C2×C4×D53C2414yes—
899C2×C4×D53C2411yescharacteristic
900C2×C4×D53C2411yescharacteristic
901C2×C4×D53C2412yes—
902C2×C4×D53C2414yes—
903C2×C4×D53C2412yes—
904C2×C4×D53C2411yescharacteristic
905C2×C4×D53C2412yes—
906C2×C4×D53C2411yescharacteristic
907C2×C4×D53C2412yes—
908C2×C4×D53C2412yes—
909C2×C4×D53C2412yes—
910C2×C4×D53C2412yes—
911C2×C4×D53C2412yes—
912C2×C4×D53C2412yes—
913C2×C4×D53C2414yes—
914C2×C4×D53C2412yes—
915C2×C4×D53C2412yes—
916C2×C4×D53C2412yes—
917C2×C4×D53C2414yes—
918C2×C4×D53C2412yes—
919C2×C4×D53C2411yescharacteristic
920C2×C4×D53C2411yescharacteristic
921C2×C4×D53C2411yescharacteristic
922C2×C4×D53C2411yescharacteristic
923C2×Dic106—24no—
924C2×Dic106—28no—
925C2×Dic106—24no—
926C2×Dic106C2411yescharacteristic
927C2×Dic106C2411yescharacteristic
928C2×Dic106C2414yes—
929C2×Dic106C2412yes—
930C2×Dic106C2412yes—
931C2×Dic106C2411yescharacteristic
932C2×Dic106C2414yes—
933C2×Dic106C2412yes—
934C2×Dic106C2411yescharacteristic
935C2×Dic106C2411yescharacteristic
936C2×Dic106C2414yes—
937C2×Dic106C2414yes—
938C2×Dic106C2414yes—
939C4⋊C4×C53C2411yescharacteristic
940C4⋊C4×C53C2412yes—
941C4⋊C4×C53C2411yescharacteristic
942C4⋊C4×C53C2411yescharacteristic
943C4⋊C4×C53C2412yes—
944C4⋊C4×C53C2411yescharacteristic
945C4⋊C4×C53C2412yes—
946C4⋊C4×C53C2414yes—
947C4⋊C4×C53C2412yes—
948C4⋊C4×C53C2414yes—
949C4⋊C4×C53C2414yes—
950C4⋊C4×C53C2411yescharacteristic
951C4⋊C4×C53C2411yescharacteristic
952C4⋊C4×C53C2414yes—
953C4⋊C4×C53C2414yes—
954C4⋊C4×C53C2414yes—
955C4⋊C4×C53C2414yes—
956C4⋊C4×C53C2414yes—
957C4⋊C4×C53C2412yes—
958C4⋊C4×C53C2412yes—
959C4⋊C4×C53C2414yes—
960C4⋊C4×C53C2414yes—
961C22⋊C4×C53C2412yes—
962C22⋊C4×C53C2412yes—
963C22⋊C4×C53C2412yes—
964C22⋊C4×C53C2412yes—
965C22⋊C4×C53C2414yes—
966C22⋊C4×C53C2414yes—
967C22⋊C4×C53C2412yes—
968C22⋊C4×C53C2412yes—
969C22⋊C4×C53C2412yes—
970C22⋊C4×C53C2414yes—
971C22⋊C4×C53C2414yes—
972C22⋊C4×C53C2412yes—
973C22⋊C4×C53C2412yes—
974C22⋊C4×C53C2414yes—
975C42×C53C2412yes—
976C42×C53C2412yes—
977C42×C53C2412yes—
978C42×C53C2412yes—
979C42×C53C2414yes—
980C42×C53C2414yes—
981C42×C53C2414yes—
982C42×C53C2412yes—
983C22⋊Dic53C2412yes—
984C22⋊Dic53C2412yes—
985C22⋊Dic53C2412yes—
986C22⋊Dic53C2414yes—
987C22⋊Dic53C2414yes—
988C22⋊Dic53C2414yes—
989C22⋊Dic53C2414yes—
990C22⋊Dic53C2412yes—
991C22⋊Dic53C2412yes—
992C22⋊Dic53C2414yes—
993C22⋊Dic53C2412yes—
994C22⋊Dic53C2412yes—
995C22⋊Dic53C2412yes—
996C22⋊Dic53C2412yes—
997#11719921C2412yes—
998#11719921C2412yes—
999#11719921C2414yes—
1000#11719921C2412yes—
1001#11719921C2412yes—
1002#11719921C2412yes—
1003#11719921C2412yes—
1004#11719921C2412yes—
1005#11719921C2412yes—
1006#11719921C2412yes—
1007#11719921C2412yes—
1008#11719921C2414yes—
1009#11719921C2414yes—
1010#11719921C2414yes—
1011#11719921C2414yes—
1012#11719921C2414yes—
1013#11719921C2414yes—
1014#11719921C2414yes—
1015#11719921C2414yes—
1016#11719921C2414yes—
1017#11719921C2414yes—
1018#11719921C2414yes—
1019#11719921C2412yes—
1020#11719921C2412yes—
1021#11719921C2412yes—
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2412yes—
1025#11719921C2412yes—
1026#11719921C2412yes—
1027C4⋊Dic53C2411yescharacteristic
1028C4⋊Dic53C2411yescharacteristic
1029C4⋊Dic53C2411yescharacteristic
1030C4⋊Dic53C2411yescharacteristic
1031C4⋊Dic53C2412yes—
1032C4⋊Dic53C2411yescharacteristic
1033C4⋊Dic53C2411yescharacteristic
1034C4⋊Dic53C2414yes—
1035C4⋊Dic53C2414yes—
1036C4⋊Dic53C2414yes—
1037C4⋊Dic53C2414yes—
1038C4⋊Dic53C2412yes—
1039C4⋊Dic53C2414yes—
1040C4⋊Dic53C2414yes—
1041C4⋊Dic53C2412yes—
1042C4⋊Dic53C2412yes—
1043C4⋊Dic53C2414yes—
1044C4⋊Dic53C2414yes—
1045C4⋊Dic53C2414yes—
1046C4⋊Dic53C2414yes—
1047C4⋊Dic53C2412yes—
1048C4⋊Dic53C2412yes—
1049#11719919C2412yes—
1050#11719919C2414yes—
1051#11719919C2412yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056#11719919C2412yes—
1057#11719919C2412yes—
1058#11719919C2414yes—
1059#11719919C2412yes—
1060#11719919C2412yes—
1061#11719919C2414yes—
1062#11719919C2414yes—
1063#11719919C2414yes—
1064#11719919C2414yes—
1065#11719919C2414yes—
1066#11719919C2414yes—
1067#11719919C2414yes—
1068#11719919C2414yes—
1069#11719919C2414yes—
1070#11719919C2414yes—
1071#11719919C2414yes—
1072#11719919C2414yes—
1073#11719919C2414yes—
1074#11719919C2414yes—
1075#11719919C2414yes—
1076#11719919C2414yes—
1077#11719919C2414yes—
1078#11719919C2414yes—
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2412yes—
1082#11719919C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2412yes—
1085C4×Dic53C2412yes—
1086C4×Dic53C2412yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2412yes—
1089C4×Dic53C2414yes—
1090C4×Dic53C2414yes—
1091C4×Dic53C2414yes—
1092C4×Dic53C2412yes—
1093C4×Dic53C2414yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2412yes—
1096C4×Dic53C2412yes—
1097C4×Dic53C2414yes—
1098C4×Dic53C2412yes—
1099C4×Dic53C2412yes—
1100C4×Dic53C2412yes—
1101C4×Dic53C2412yes—
1102C4×Dic53C2414yes—
1103C4×Dic53C2412yes—
1104C4×Dic53C2412yes—
1105C4×Dic53C2414yes—
1106C4×Dic53C2414yes—
1107C4×Dic53C2412yes—
1108C4×Dic53C2414yes—
1109C23×C53—22no—
1110C23×C53—41no—
1111C23×C53—41no—
1112C23×C53C2511yescharacteristic
1113C23×C53C2512yes—
1114C23×C53C2511yescharacteristic
1115C23×C53C2511yescharacteristic
1116C22×D53—22no—
1117C22×D53—24no—
1118C22×D53—41no—
1119C22×D53—41no—
1120C22×D53—42no—
1121C22×D53—42no—
1122C22×D53—41no—
1123C22×D53—41no—
1124C22×D53C2×#4114yes—
1125C22×D53C2511yescharacteristic
1126C22×D53C2511yescharacteristic
1127C22×D53C2512yes—
1128C22×D53C2511yescharacteristic
1129C22×D53C2511yescharacteristic
1130Q8×C53—24no—
1131Q8×C53—24no—
1132Q8×C53—22no—
1133Q8×C53—44no—
1134D4×C53—24no—
1135D4×C53—22no—
1136D4×C53—42no—
1137D4×C53—42no—
1138C2×C4×C53—24no—
1139C2×C4×C53—22no—
1140C2×C4×C53—24no—
1141C2×C4×C53—22no—
1142C2×C4×C53—22no—
1143C2×C4×C53—22no—
1144C2×C4×C53—22no—
1145C2×C4×C53—42no—
1146C2×C4×C53—42no—
1147C2×C4×C53—44no—
1148C2×C4×C53—42no—
1149C2×C4×C53C2×#4114yes—
1150C2×C4×C53C2514yes—
1151C2×C4×C53C2512yes—
1152C2×C4×C53C2512yes—
1153C2×C4×C53C2511yescharacteristic
1154C2×C4×C53C2511yescharacteristic
1155C2×C4×C53C2512yes—
1156C2×C4×C53C2514yes—
1157C2×C4×C53C2512yes—
1158C2×C4×C53C2512yes—
1159C2×C4×C53C2512yes—
1160C2×C4×C53C2512yes—
1161C2×C4×C53C2511yescharacteristic
1162C2×C4×C53C2511yescharacteristic
1163C22⋊D53—24no—
1164C22⋊D53—22no—
1165C22⋊D53—22no—
1166C22⋊D53—22no—
1167C22⋊D53—22no—
1168C22⋊D53—24no—
1169C22⋊D53—22no—
1170C22⋊D53—22no—
1171C22⋊D53—22no—
1172C22⋊D53—22no—
1173C22⋊D53—24no—
1174C22⋊D53—42no—
1175C22⋊D53—42no—
1176C22⋊D53—42no—
1177C22⋊D53—42no—
1178C2×Dic53—24no—
1179C2×Dic53—22no—
1180C2×Dic53—24no—
1181C2×Dic53—42no—
1182C2×Dic53—42no—
1183C2×Dic53—42no—
1184C2×Dic53—44no—
1185C2×Dic53C2×#4114yes—
1186C2×Dic53C2514yes—
1187C2×Dic53C2511yescharacteristic
1188C2×Dic53C2511yescharacteristic
1189C2×Dic53C2512yes—
1190C2×Dic53C2512yes—
1191C2×Dic53C2512yes—
1192C2×Dic53C2514yes—
1193C2×Dic53C2512yes—
1194C2×Dic53C2512yes—
1195C2×Dic53C2512yes—
1196C2×Dic53C2512yes—
1197C2×Dic53C2511yescharacteristic
1198C2×Dic53C2511yescharacteristic
1199D212—22no—
1200D212—22no—
1201D212—22no—
1202D212—22no—
1203D212—24no—
1204D212—22no—
1205D212—42no—
1206D212—42no—
1207C4×D53—24no—
1208C4×D53—28no—
1209C4×D53—28no—
1210C4×D53—22no—
1211C4×D53—22no—
1212C4×D53—22no—
1213C4×D53—22no—
1214C4×D53—24no—
1215C4×D53—24no—
1216C4×D53—42no—
1217C4×D53—42no—
1218C4×D53—42no—
1219C4×D53—42no—
1220C4×D53—44no—
1221C4×D53—42no—
1222C4×D53—42no—
1223C4×D53—44no—
1224C4×D53—42no—
1225C4×D53—42no—
1226C4×D53—42no—
1227C4×D53—42no—
1228C4×D53C2×#4114yes—
1229C4×D53C2×#4114yes—
1230C4×D53C2×#4114yes—
1231C4×D53C2×#4114yes—
1232Dic106—24no—
1233Dic106—24no—
1234Dic106—22no—
1235Dic106—22no—
1236Dic106—22no—
1237Dic106—22no—
1238Dic106—22no—
1239Dic106—28no—
1240Dic106—28no—
1241Dic106—24no—
1242Dic106—44no—
1243Dic106—44no—
1244Dic106—44no—
1245#62860—531nomaximal, Sylow
1246C22×C53—21no—
1247C22×C53—21no—
1248C22×C53—22no—
1249C22×C53—21no—
1250C22×C53—21no—
1251C22×C53—21no—
1252C22×C53—22no—
1253C22×C53—21no—
1254C22×C53—21no—
1255C22×C53—22no—
1256C22×C53—21no—
1257C22×C53—82no—
1258C22×C53C22×#4112yes—
1259C22×C53C2611yescharacteristic
1260C2×D53—21no—
1261C2×D53—21no—
1262C2×D53—21no—
1263C2×D53—21no—
1264C2×D53—21no—
1265C2×D53—21no—
1266C2×D53—22no—
1267C2×D53—21no—
1268C2×D53—21no—
1269C2×D53—22no—
1270C2×D53—22no—
1271C2×D53—21no—
1272C2×D53—21no—
1273C2×D53—44no—
1274C2×D53—84no—
1275C2×D53—82no—
1276C2×D53C22×#4112yes—
1277C2×D53C22×#4112yes—
1278C4×C53—24no—
1279C4×C53—21no—
1280C4×C53—21no—
1281C4×C53—22no—
1282C4×C53—22no—
1283C4×C53—22no—
1284C4×C53—24no—
1285C4×C53—22no—
1286C4×C53—22no—
1287C4×C53—22no—
1288C4×C53—22no—
1289C4×C53C22×#4112yes—
1290C4×C53C22×#4112yes—
1291Dic53—24no—
1292Dic53—22no—
1293Dic53—21no—
1294Dic53—21no—
1295Dic53—22no—
1296Dic53—22no—
1297Dic53—24no—
1298Dic53—22no—
1299Dic53—22no—
1300Dic53—22no—
1301Dic53—22no—
1302Dic53C22×#4112yes—
1303Dic53C22×#4112yes—
1304#3510—534no—
1305#3510—532no—
1306#3510—532no—
1307#3509—534no—
1308#3509—532no—
1309#3509—532no—
1310#3507—532no—
1311#3507—532no—
1312#3507—532no—
1313#3507—532no—
1314#3495—532no—
1315#3495—532no—
1316#3495—532no—
1317#3495—532no—
1318#3495—531no—
1319#3495—531no—
1320#3495—531no—
1321#3495—531no—
1322#3495—531no—
1323#3495—531no—
1324#3495—531no—
1325#3495D5311yescharacteristic, complemented
1326#3491—534no—
1327#3491—534no—
1328#3461—532no—
1329#3461—532no—
1330#3461—532no—
1331#3461—532no—
1332#3458—531no—
1333#3449—531no—
1334C2×#536—531no—
1335C2×#536—531no—
1336#3428—531no—
1337#3428—531no—
1338C2×#519—531no—
1339C2×C53—22no—
1340C2×C53—42no—
1341C2×C53—41no—
1342C2×C53—41no—
1343C2×C53C23×#4111yescharacteristic
1344C2×C532−1+611yescharacteristic
1345C2×C532−1+611yescharacteristic
1346D53—22no—
1347D53—22no—
1348D53—41no—
1349D53—41no—
1350D53—42no—
1351C22×#41—531no—
1352C22×#41—531no—
1353C23×Q8—531no—
1354#559—534no—
1355#559—534no—
1356#559—534no—
1357#559—534no—
1358#557—534no—
1359#557—534no—
1360#557—534no—
1361#557—534no—
1362#556—532no—
1363#556—534no—
1364#556—534no—
1365#556—534no—
1366#556—534no—
1367#556—532no—
1368#556—532no—
1369#556—534no—
1370#556—534no—
1371#556—532no—
1372#556—532no—
1373#556—532no—
1374#556—532no—
1375#556—534no—
1376#556—534no—
1377#556C2×D5312yescomplemented
1378#554—532no—
1379#554—532no—
1380#554—532no—
1381#554—532no—
1382#554—532no—
1383#554—532no—
1384#554—532no—
1385#554C2×D5312yescomplemented
1386#552—534no—
1387#552—534no—
1388#552—534no—
1389#552—534no—
1390#552—534no—
1391#552—532no—
1392#552—532no—
1393#552—534no—
1394#552—534no—
1395#552—534no—
1396#552—532no—
1397#552—532no—
1398#552—534no—
1399#552—532no—
1400#552—532no—
1401#552—534no—
1402#552—532no—
1403#552—532no—
1404#552—534no—
1405#552—532no—
1406#552—532no—
1407#552—534no—
1408#552—534no—
1409#552—534no—
1410#552—532no—
1411#552—532no—
1412#552—534no—
1413#552—532no—
1414#552—532no—
1415#552C2×D5314yescomplemented
1416#552C2×D5312yescomplemented
1417#552C2×D5312yescomplemented
1418#551—534no—
1419#551—534no—
1420#551—534no—
1421#551—534no—
1422#551—534no—
1423#551—534no—
1424#551—534no—
1425#551—534no—
1426#551—534no—
1427#551—534no—
1428#551—534no—
1429#551—534no—
1430#551—534no—
1431#551—534no—
1432#551—534no—
1433#551C2×D5314yescomplemented
1434#544—532no—
1435#544—532no—
1436#544—532no—
1437#544—532no—
1438#544—531no—
1439#544—531no—
1440#544—531no—
1441#544C2×D5311yescharacteristic, complemented
1442#543—534no—
1443#542—532no—
1444#542—534no—
1445#542—534no—
1446#542—532no—
1447#542—534no—
1448#542—534no—
1449#542—532no—
1450#542—532no—
1451#542—532no—
1452#542—532no—
1453#542—532no—
1454#542C2×D5312yescomplemented
1455#541—532no—
1456#541—534no—
1457#541—534no—
1458#541—534no—
1459#541—534no—
1460#541—532no—
1461#541—532no—
1462#541—532no—
1463#541—532no—
1464#541—532no—
1465#541—532no—
1466#541C2×D5312yescomplemented
1467#539—534no—
1468#539—534no—
1469#539—534no—
1470#539—534no—
1471#539—534no—
1472#539—534no—
1473#539—534no—
1474#539—534no—
1475#537—531no—
1476#537—531no—
1477#537—531no—
1478#537—531no—
1479#536—531no—
1480#536—531no—
1481#536—532no—
1482#536—532no—
1483#536—534no—
1484#536—532no—
1485#536—532no—
1486#536—532no—
1487#536—532no—
1488#536—532no—
1489#536—532no—
1490#536—532no—
1491#536—532no—
1492#536—532no—
1493#536—532no—
1494#536—532no—
1495#536—531no—
1496#536—531no—
1497#536—531no—
1498#536C2×D5311yescharacteristic
1499#535—531no—
1500#535—531no—
1501#535—532no—
1502#534—532no—
1503#534—532no—
1504#533—532no—
1505#533—532no—
1506#533—532no—
1507#533—532no—
1508#533—532no—
1509#533—532no—
1510#533—534no—
1511#533—534no—
1512#533—532no—
1513#533—532no—
1514#533—534no—
1515#533—534no—
1516#533—532no—
1517#533—532no—
1518#533—534no—
1519#533—532no—
1520#533C2×D5312yescomplemented
1521#532—532no—
1522#532—532no—
1523C2×C4⋊Q8—532no—
1524C2×C4⋊Q8—532no—
1525#529—534no—
1526#529—534no—
1527#529—534no—
1528#529—534no—
1529#529—532no—
1530#529—534no—
1531#529—532no—
1532#529—534no—
1533#529—532no—
1534#529—532no—
1535#529—534no—
1536#529—532no—
1537#529—534no—
1538#529—534no—
1539#529—532no—
1540#529—534no—
1541#529—534no—
1542#529—534no—
1543#529—532no—
1544#529C2×D5312yescomplemented
1545C2×#124—532no—
1546C2×#124—532no—
1547#525—531no—
1548#525—531no—
1549#525—532no—
1550#525—532no—
1551#525—531no—
1552#525C2×D5311yescharacteristic
1553C2×#123—534no—
1554C2×#123—532no—
1555C2×#123—532no—
1556C2×C22⋊Q8—531no—
1557C2×C22⋊Q8—531no—
1558C2×C22⋊Q8—532no—
1559C2×C22⋊Q8—532no—
1560C2×C22⋊Q8—531no—
1561C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1562#520—531no—
1563#520—531no—
1564#520—531no—
1565#520—531no—
1566#520—532no—
1567#520—531no—
1568#520—531no—
1569#520—531no—
1570#520—531no—
1571#520—531no—
1572#520—532no—
1573#520—531no—
1574#520—531no—
1575#520C2×D5311yescharacteristic
1576#519—531no—
1577#519—532no—
1578#519—532no—
1579#519—532no—
1580#519—532no—
1581#519—532no—
1582#519—531no—
1583#519—531no—
1584#519—534no—
1585#519—532no—
1586#519C2×D5311yescharacteristic, complemented
1587#518—534no—
1588#518—532no—
1589#518—532no—
1590#518—532no—
1591#518—532no—
1592C4×#41—532no—
1593C4×#41—534no—
1594C4×#41—532no—
1595C4×#41—532no—
1596C4×#41—532no—
1597C4×#41—532no—
1598C4×#41—532no—
1599C2×C4×Q8—532no—
1600C2×C4×Q8—532no—
1601C2×C4×Q8—532no—
1602C2×C4×Q8—532no—
1603C2×#117—531no—
1604C2×#117—531no—
1605C2×#117—531no—
1606C2×#117—534no—
1607C2×#117—531no—
1608C2×#117—531no—
1609C2×#117—531no—
1610C2×#117—532no—
1611C2×#117—531no—
1612C2×#117—532no—
1613C2×#117C2×D5311yescharacteristic, complemented
1614C53#6286011yescharacteristic, complemented, Sylow
1615C2×#41—531no—
1616C2×#41—532no—
1617C2×#41—531no—
1618C2×#41—531no—
1619C2×#41—531no—
1620C2×#41—531no—
1621C2×#41—531no—
1622C2×#41—531no—
1623C2×#41—531no—
1624C2×#41—531no—
1625C2×#41—531no—
1626C2×#41—532no—
1627C2×#41—531no—
1628C2×#41—1068no—
1629C2×#41—1068no—
1630C2×#41C22×D5311yescharacteristic
1631C22×Q8—532no—
1632C22×Q8—532no—
1633C22×Q8—532no—
1634C22×Q8—532no—
1635C22×Q8—531no—
1636C22×Q8—531no—
1637C22×Q8—532no—
1638C22×Q8—531no—
1639C22×Q8—1068no—
1640C22×Q8C22×D5311yescharacteristic
1641C22×D4—531no—
1642C22×D4—531no—
1643C22×D4—532no—
1644C22×D4—531no—
1645C22×D4—531no—
1646C23×C4—531no—
1647C23×C4—532no—
1648C23×C4—531no—
1649C23×C4—532no—
1650C23×C4C22×D5311yescharacteristic
1651C4⋊Q8—532no—
1652C4⋊Q8—532no—
1653C4⋊Q8—534no—
1654C4⋊Q8—534no—
1655C4⋊Q8—534no—
1656C4⋊Q8—534no—
1657C4⋊Q8—534no—
1658C4⋊Q8—534no—
1659C4⋊Q8—534no—
1660C4⋊Q8—532no—
1661C4⋊Q8—532no—
1662C4⋊Q8—534no—
1663C4⋊Q8—532no—
1664C4⋊Q8—532no—
1665C4⋊Q8—532no—
1666C4⋊Q8—532no—
1667C4⋊Q8—532no—
1668C4⋊Q8—532no—
1669C4⋊Q8—532no—
1670C4⋊Q8C22×D5312yes—
1671C4⋊Q8C22×D5312yes—
1672C4⋊Q8C22×D5312yes—
1673#127—532no—
1674#127—532no—
1675#126—534no—
1676#126—534no—
1677#126—534no—
1678#126—534no—
1679#126—534no—
1680#126—534no—
1681#126—534no—
1682#126—534no—
1683#126—534no—
1684#126—534no—
1685#126—534no—
1686#126—534no—
1687#126—534no—
1688#126—534no—
1689#126—534no—
1690#126—534no—
1691#126—534no—
1692#126—534no—
1693#126—534no—
1694#126—534no—
1695#126—534no—
1696#126—534no—
1697#126—534no—
1698#126—534no—
1699#126—534no—
1700#126—534no—
1701#126—534no—
1702#126—534no—
1703#126C22×D5314yes—
1704#126C22×D5314yes—
1705#126C22×D5314yes—
1706#126C22×D5314yes—
1707#125—534no—
1708#125—534no—
1709#125—532no—
1710#125—532no—
1711#125—534no—
1712#125—534no—
1713#125—534no—
1714#125—534no—
1715#125—534no—
1716#125—534no—
1717#125—534no—
1718#125—534no—
1719#125—534no—
1720#125—534no—
1721#125—534no—
1722#125—534no—
1723#125—534no—
1724#125—534no—
1725#125—534no—
1726#125—534no—
1727#125—534no—
1728#125—534no—
1729#125—532no—
1730#125—532no—
1731#125—532no—
1732#125—534no—
1733#125—534no—
1734#125—534no—
1735#125—532no—
1736#125C22×D5312yes—
1737#125C22×D5314yes—
1738#125C22×D5314yes—
1739#125C22×D5312yes—
1740#125C22×D5314yes—
1741#124—532no—
1742#124—534no—
1743#124—532no—
1744#124—534no—
1745#124—534no—
1746#124—534no—
1747#124—534no—
1748#124—534no—
1749#124—534no—
1750#124—534no—
1751#124—534no—
1752#124—534no—
1753#124—534no—
1754#124—534no—
1755#124—532no—
1756#124—532no—
1757#124—532no—
1758#124—532no—
1759#124—532no—
1760#124—534no—
1761#124C22×D5312yes—
1762#124C22×D5314yes—
1763#123—534no—
1764#123—532no—
1765#123—534no—
1766#123—534no—
1767#123—534no—
1768#123—532no—
1769#123—534no—
1770#123—534no—
1771#123—534no—
1772#123—534no—
1773#123—534no—
1774#123—534no—
1775#123—534no—
1776#123—534no—
1777#123—532no—
1778#123—532no—
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#123—534no—
1788#123—534no—
1789#123—534no—
1790#123—532no—
1791#123—532no—
1792#123—532no—
1793#123—534no—
1794#123—534no—
1795#123—534no—
1796#123—534no—
1797#123—534no—
1798#123—534no—
1799#123C22×D5314yes—
1800#123C22×D5312yes—
1801#123C22×D5314yes—
1802#123C22×D5314yes—
1803C22⋊Q8—532no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—532no—
1807C22⋊Q8—532no—
1808C22⋊Q8—532no—
1809C22⋊Q8—531no—
1810C22⋊Q8—531no—
1811C22⋊Q8—534no—
1812C22⋊Q8—534no—
1813C22⋊Q8—534no—
1814C22⋊Q8—534no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—532no—
1819C22⋊Q8—532no—
1820C22⋊Q8—532no—
1821C22⋊Q8—531no—
1822C22⋊Q8—531no—
1823C22⋊Q8—534no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—532no—
1829C22⋊Q8—532no—
1830C22⋊Q8—532no—
1831C22⋊Q8—532no—
1832C22⋊Q8—532no—
1833C22⋊Q8—532no—
1834C22⋊Q8—532no—
1835C22⋊Q8—532no—
1836C22⋊Q8—531no—
1837C22⋊Q8—531no—
1838C22⋊Q8—534no—
1839C22⋊Q8—534no—
1840C22⋊Q8—534no—
1841C22⋊Q8—534no—
1842C22⋊Q8—534no—
1843C22⋊Q8—534no—
1844C22⋊Q8—534no—
1845C22⋊Q8—534no—
1846C22⋊Q8—534no—
1847C22⋊Q8—534no—
1848C22⋊Q8—534no—
1849C22⋊Q8—534no—
1850C22⋊Q8—534no—
1851C22⋊Q8—534no—
1852C22⋊Q8—532no—
1853C22⋊Q8—532no—
1854C22⋊Q8—534no—
1855C22⋊Q8—534no—
1856C22⋊Q8—534no—
1857C22⋊Q8—534no—
1858C22⋊Q8—534no—
1859C22⋊Q8—534no—
1860C22⋊Q8C22×D5312yes—
1861C22⋊Q8C22×D5312yes—
1862C22⋊Q8C22×D5312yes—
1863C22⋊Q8C22×D5312yes—
1864C22⋊Q8C22×D5312yes—
1865C22⋊Q8C22×D5312yes—
1866C22⋊Q8C22×D5311yescharacteristic
1867C22⋊Q8C22×D5311yescharacteristic
1868C22⋊Q8C22×D5314yes—
1869C22⋊Q8C22×D5314yes—
1870C22⋊Q8C22×D5314yes—
1871#121—531no—
1872#121—531no—
1873#121—532no—
1874#121—532no—
1875#121—532no—
1876#121—532no—
1877#121—531no—
1878#121—531no—
1879#121—531no—
1880#121—531no—
1881#121—532no—
1882#121—532no—
1883#121—532no—
1884#121—532no—
1885#121—532no—
1886#121—532no—
1887#121—532no—
1888#121—532no—
1889#121C22×D5311yescharacteristic
1890#121C22×D5311yescharacteristic
1891#120—532no—
1892#120—532no—
1893#120—532no—
1894#120—532no—
1895#120—532no—
1896#120—532no—
1897#120—532no—
1898#120C22×D5312yes—
1899C4×Q8—532no—
1900C4×Q8—532no—
1901C4×Q8—532no—
1902C4×Q8—532no—
1903C4×Q8—532no—
1904C4×Q8—534no—
1905C4×Q8—534no—
1906C4×Q8—534no—
1907C4×Q8—534no—
1908C4×Q8—532no—
1909C4×Q8—532no—
1910C4×Q8—532no—
1911C4×Q8—532no—
1912C4×Q8—534no—
1913C4×Q8—534no—
1914C4×Q8—532no—
1915C4×Q8—532no—
1916C4×Q8—532no—
1917C4×Q8—534no—
1918C4×Q8—532no—
1919C4×Q8—532no—
1920C4×Q8—534no—
1921C4×Q8—534no—
1922C4×Q8—534no—
1923C4×Q8—534no—
1924C4×Q8—534no—
1925C4×Q8—534no—
1926C4×Q8—534no—
1927C4×Q8—534no—
1928C4×Q8—532no—
1929C4×Q8—532no—
1930C4×Q8—532no—
1931C4×Q8—532no—
1932C4×Q8—534no—
1933C4×Q8—534no—
1934C4×Q8—532no—
1935C4×Q8—532no—
1936C4×Q8—532no—
1937C4×Q8—534no—
1938C4×Q8—532no—
1939C4×Q8—532no—
1940C4×Q8—534no—
1941C4×Q8—534no—
1942C4×Q8—534no—
1943C4×Q8C22×D5312yes—
1944C4×Q8C22×D5312yes—
1945C4×Q8C22×D5312yes—
1946C4×Q8C22×D5312yes—
1947C4×Q8C22×D5312yes—
1948C4×Q8C22×D5314yes—
1949C4×D4—532no—
1950C4×D4—534no—
1951C4×D4—534no—
1952C4×D4—534no—
1953C4×D4—532no—
1954C4×D4—532no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—534no—
1958C4×D4—532no—
1959C4×D4—532no—
1960C4×D4—534no—
1961C4×D4—532no—
1962C4×D4—532no—
1963C4×D4—532no—
1964C4×D4—532no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—534no—
1968C4×D4—534no—
1969C4×D4—534no—
1970C4×D4—532no—
1971C4×D4—532no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—532no—
1975C4×D4—534no—
1976C4×D4—534no—
1977C4×D4—532no—
1978C4×D4—532no—
1979C4×D4—532no—
1980C4×D4—532no—
1981C4×D4—532no—
1982C4×D4—532no—
1983C4×D4—534no—
1984C4×D4—534no—
1985C4×D4—532no—
1986C4×D4—532no—
1987C4×D4—534no—
1988C4×D4—534no—
1989C4×D4—534no—
1990C4×D4—532no—
1991C4×D4—532no—
1992C4×D4—532no—
1993C4×D4—532no—
1994C4×D4—532no—
1995C4×D4—532no—
1996C4×D4—532no—
1997C4×D4—534no—
1998C4×D4C22×D5312yes—
1999C4×D4C22×D5314yes—
2000C4×D4C22×D5312yes—
2001C4×D4C22×D5312yes—
2002C4×D4C22×D5314yes—
2003#117—531no—
2004#117—531no—
2005#117—532no—
2006#117—532no—
2007#117—531no—
2008#117—534no—
2009#117—532no—
2010#117—531no—
2011#117—531no—
2012#117—534no—
2013#117—534no—
2014#117—531no—
2015#117—531no—
2016#117—532no—
2017#117—532no—
2018#117—534no—
2019#117—532no—
2020#117—534no—
2021#117—531no—
2022#117—531no—
2023#117—534no—
2024#117—534no—
2025#117—531no—
2026#117—531no—
2027#117—532no—
2028#117—531no—
2029#117—531no—
2030#117—532no—
2031#117—531no—
2032#117—531no—
2033#117—532no—
2034#117—534no—
2035#117—534no—
2036#117—534no—
2037#117—534no—
2038#117—532no—
2039#117—534no—
2040#117—532no—
2041#117—532no—
2042#117—532no—
2043#117—532no—
2044#117—534no—
2045#117—534no—
2046#117—534no—
2047#117—534no—
2048#117—534no—
2049#117—534no—
2050#117—532no—
2051#117—532no—
2052#117—532no—
2053#117—532no—
2054#117—534no—
2055#117—532no—
2056#117—534no—
2057#117—534no—
2058#117—534no—
2059#117—534no—
2060#117—534no—
2061#117—534no—
2062#117C22×D5311yescharacteristic
2063#117C22×D5311yescharacteristic
2064#117C22×D5311yescharacteristic
2065#117C22×D5314yes—
2066#117C22×D5312yes—
2067#117C22×D5312yes—
2068#117C22×D5312yes—
2069#117C22×D5311yescharacteristic
2070#117C22×D5311yescharacteristic
2071#117C22×D5314yes—
2072#117C22×D5314yes—
2073C2×C4⋊C4—531no—
2074C2×C4⋊C4—531no—
2075C2×C4⋊C4—531no—
2076C2×C4⋊C4—532no—
2077C2×C4⋊C4—532no—
2078C2×C4⋊C4—532no—
2079C2×C4⋊C4—532no—
2080C2×C4⋊C4—531no—
2081C2×C4⋊C4—531no—
2082C2×C4⋊C4—531no—
2083C2×C4⋊C4—531no—
2084C2×C4⋊C4—534no—
2085C2×C4⋊C4—534no—
2086C2×C4⋊C4—531no—
2087C2×C4⋊C4—531no—
2088C2×C4⋊C4—531no—
2089C2×C4⋊C4—531no—
2090C2×C4⋊C4—532no—
2091C2×C4⋊C4—532no—
2092C2×C4⋊C4—531no—
2093C2×C4⋊C4—531no—
2094C2×C4⋊C4—534no—
2095C2×C4⋊C4—534no—
2096C2×C4⋊C4C22×D5311yescharacteristic
2097C2×C4⋊C4C22×D5312yes—
2098C2×C4⋊C4C22×D5311yescharacteristic
2099C2×C4⋊C4C22×D5311yescharacteristic
2100C2×C4⋊C4C22×D5312yes—
2101C2×C22⋊C4—532no—
2102C2×C22⋊C4—532no—
2103C2×C22⋊C4—532no—
2104C2×C22⋊C4—534no—
2105C2×C22⋊C4—532no—
2106C2×C22⋊C4—532no—
2107C2×C22⋊C4—532no—
2108C2×C22⋊C4—532no—
2109C2×C22⋊C4—532no—
2110C2×C22⋊C4—532no—
2111C2×C22⋊C4—532no—
2112C2×C22⋊C4—534no—
2113C2×C22⋊C4—534no—
2114C2×C22⋊C4—534no—
2115C2×C22⋊C4C22×D5312yes—
2116C2×C22⋊C4C22×D5312yes—
2117C2×C42—532no—
2118C2×C42—534no—
2119C2×C42—532no—
2120C2×C42—532no—
2121C2×C42—534no—
2122C2×C42—534no—
2123C2×C42—532no—
2124C2×C42—532no—
2125C2×C42—534no—
2126C2×C42—532no—
2127C2×C42—532no—
2128C2×C42C22×D5312yes—
2129C24—531no—
2130C24—532no—
2131C24—531no—
2132C24C23×D5311yescharacteristic
2133#41—24no—
2134#41—1064no—
2135#41—1064no—
2136#41—1064no—
2137#41—1064no—
2138#41—1064no—
2139#41—1064no—
2140#41—1064no—
2141#41—1064no—
2142#41—1068no—
2143#41—1068no—
2144#41—1064no—
2145#41—1064no—
2146#41—1064no—
2147C2×Q8—24no—
2148C2×Q8—532no—
2149C2×Q8—534no—
2150C2×Q8—532no—
2151C2×Q8—531no—
2152C2×Q8—531no—
2153C2×Q8—531no—
2154C2×Q8—534no—
2155C2×Q8—531no—
2156C2×Q8—532no—
2157C2×Q8—531no—
2158C2×Q8—534no—
2159C2×Q8—534no—
2160C2×Q8—534no—
2161C2×Q8—1068no—
2162C2×Q8—1064no—
2163C2×Q8—1068no—
2164C2×Q8—1068no—
2165C2×Q8—1068no—
2166C2×Q8—1068no—
2167C2×Q8—1064no—
2168C2×Q8—1064no—
2169C2×Q8C23×D5312yes—
2170C2×Q8C23×D5312yes—
2171C2×Q8C23×D5311yescharacteristic
2172C2×Q8C23×D5314yes—
2173C2×D4—531no—
2174C2×D4—531no—
2175C2×D4—532no—
2176C2×D4—531no—
2177C2×D4—532no—
2178C2×D4—531no—
2179C2×D4—531no—
2180C2×D4—531no—
2181C2×D4—531no—
2182C2×D4—532no—
2183C2×D4—531no—
2184C2×D4—532no—
2185C2×D4—532no—
2186C2×D4—532no—
2187C2×D4—532no—
2188C2×D4—531no—
2189C2×D4—531no—
2190C2×D4—531no—
2191C2×D4—532no—
2192C2×D4—531no—
2193C2×D4—531no—
2194C2×D4—532no—
2195C2×D4—532no—
2196C2×D4—1064no—
2197C2×D4—1064no—
2198C2×D4—1064no—
2199C2×D4—1068no—
2200C2×D4—1064no—
2201C2×D4C23×D5312yes—
2202C2×D4C23×D5311yescharacteristic
2203C2×D4C23×D5312yes—
2204C2×D4C23×D5312yes—
2205C22×C4—24no—
2206C22×C4—531no—
2207C22×C4—538no—
2208C22×C4—531no—
2209C22×C4—531no—
2210C22×C4—531no—
2211C22×C4—531no—
2212C22×C4—532no—
2213C22×C4—532no—
2214C22×C4—531no—
2215C22×C4—532no—
2216C22×C4—534no—
2217C22×C4—532no—
2218C22×C4—532no—
2219C22×C4—534no—
2220C22×C4—532no—
2221C22×C4—531no—
2222C22×C4—531no—
2223C22×C4—534no—
2224C22×C4—532no—
2225C22×C4—532no—
2226C22×C4—531no—
2227C22×C4—531no—
2228C22×C4—532no—
2229C22×C4—532no—
2230C22×C4—532no—
2231C22×C4—532no—
2232C22×C4—532no—
2233C22×C4—532no—
2234C22×C4—534no—
2235C22×C4—532no—
2236C22×C4—532no—
2237C22×C4—532no—
2238C22×C4—534no—
2239C22×C4—532no—
2240C22×C4—1068no—
2241C22×C4—1068no—
2242C22×C4—1064no—
2243C22×C4C23×D5311yescharacteristic
2244C22×C4C23×D5311yescharacteristic
2245C22×C4C23×D5312yes—
2246C22×C4C23×D5311yescharacteristic
2247C22×C4C23×D5311yescharacteristic
2248C22×C4C23×D5312yes—
2249C22×C4C23×D5311yescharacteristic
2250C22×C4C23×D5312yes—
2251C22×C4C23×D5314yes—
2252C22×C4C23×D5312yes—
2253C22×C4C23×D5312yes—
2254C22×C4C23×D5311yescharacteristic
2255C4⋊C4—531no—
2256C4⋊C4—531no—
2257C4⋊C4—532no—
2258C4⋊C4—531no—
2259C4⋊C4—531no—
2260C4⋊C4—532no—
2261C4⋊C4—532no—
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—532no—
2271C4⋊C4—534no—
2272C4⋊C4—532no—
2273C4⋊C4—532no—
2274C4⋊C4—532no—
2275C4⋊C4—532no—
2276C4⋊C4—531no—
2277C4⋊C4—531no—
2278C4⋊C4—534no—
2279C4⋊C4—534no—
2280C4⋊C4—534no—
2281C4⋊C4—534no—
2282C4⋊C4—534no—
2283C4⋊C4—534no—
2284C4⋊C4—534no—
2285C4⋊C4—534no—
2286C4⋊C4—534no—
2287C4⋊C4—534no—
2288C4⋊C4—534no—
2289C4⋊C4—534no—
2290C4⋊C4—534no—
2291C4⋊C4—534no—
2292C4⋊C4—534no—
2293C4⋊C4—534no—
2294C4⋊C4—534no—
2295C4⋊C4—534no—
2296C4⋊C4—534no—
2297C4⋊C4—534no—
2298C4⋊C4—534no—
2299C4⋊C4—534no—
2300C4⋊C4—534no—
2301C4⋊C4—534no—
2302C4⋊C4—534no—
2303C4⋊C4—534no—
2304C4⋊C4—534no—
2305C4⋊C4—532no—
2306C4⋊C4—532no—
2307C4⋊C4—532no—
2308C4⋊C4—532no—
2309C4⋊C4—532no—
2310C4⋊C4—532no—
2311C4⋊C4C23×D5311yescharacteristic
2312C4⋊C4C23×D5311yescharacteristic
2313C4⋊C4C23×D5311yescharacteristic
2314C4⋊C4C23×D5311yescharacteristic
2315C4⋊C4C23×D5312yes—
2316C4⋊C4C23×D5311yescharacteristic
2317C4⋊C4C23×D5311yescharacteristic
2318C4⋊C4C23×D5314yes—
2319C4⋊C4C23×D5314yes—
2320C4⋊C4C23×D5314yes—
2321C4⋊C4C23×D5314yes—
2322C4⋊C4C23×D5312yes—
2323C4⋊C4C23×D5314yes—
2324C4⋊C4C23×D5314yes—
2325C4⋊C4C23×D5312yes—
2326C4⋊C4C23×D5312yes—
2327C4⋊C4C23×D5314yes—
2328C4⋊C4C23×D5314yes—
2329C4⋊C4C23×D5314yes—
2330C4⋊C4C23×D5314yes—
2331C4⋊C4C23×D5312yes—
2332C4⋊C4C23×D5312yes—
2333C22⋊C4—532no—
2334C22⋊C4—532no—
2335C22⋊C4—532no—
2336C22⋊C4—532no—
2337C22⋊C4—532no—
2338C22⋊C4—534no—
2339C22⋊C4—534no—
2340C22⋊C4—534no—
2341C22⋊C4—534no—
2342C22⋊C4—534no—
2343C22⋊C4—532no—
2344C22⋊C4—532no—
2345C22⋊C4—532no—
2346C22⋊C4—532no—
2347C22⋊C4—532no—
2348C22⋊C4—532no—
2349C22⋊C4—534no—
2350C22⋊C4—532no—
2351C22⋊C4—532no—
2352C22⋊C4—534no—
2353C22⋊C4—532no—
2354C22⋊C4—532no—
2355C22⋊C4—534no—
2356C22⋊C4—532no—
2357C22⋊C4—532no—
2358C22⋊C4—534no—
2359C22⋊C4—532no—
2360C22⋊C4—532no—
2361C22⋊C4—534no—
2362C22⋊C4—534no—
2363C22⋊C4—534no—
2364C22⋊C4—534no—
2365C22⋊C4—534no—
2366C22⋊C4—534no—
2367C22⋊C4—534no—
2368C22⋊C4—534no—
2369C22⋊C4—532no—
2370C22⋊C4—532no—
2371C22⋊C4—532no—
2372C22⋊C4—532no—
2373C22⋊C4—532no—
2374C22⋊C4—532no—
2375C22⋊C4—532no—
2376C22⋊C4—532no—
2377C22⋊C4C23×D5312yes—
2378C22⋊C4C23×D5312yes—
2379C22⋊C4C23×D5312yes—
2380C22⋊C4C23×D5314yes—
2381C22⋊C4C23×D5314yes—
2382C22⋊C4C23×D5314yes—
2383C22⋊C4C23×D5314yes—
2384C22⋊C4C23×D5312yes—
2385C22⋊C4C23×D5312yes—
2386C22⋊C4C23×D5314yes—
2387C22⋊C4C23×D5312yes—
2388C22⋊C4C23×D5312yes—
2389C22⋊C4C23×D5312yes—
2390C22⋊C4C23×D5312yes—
2391C42—532no—
2392C42—532no—
2393C42—532no—
2394C42—534no—
2395C42—532no—
2396C42—532no—
2397C42—532no—
2398C42—534no—
2399C42—534no—
2400C42—532no—
2401C42—532no—
2402C42—534no—
2403C42—532no—
2404C42—532no—
2405C42—534no—
2406C42—534no—
2407C42—534no—
2408C42—534no—
2409C42—534no—
2410C42—534no—
2411C42—532no—
2412C42—534no—
2413C42—532no—
2414C42—532no—
2415C42—532no—
2416C42—532no—
2417C42C23×D5312yes—
2418C42C23×D5312yes—
2419C42C23×D5314yes—
2420C42C23×D5314yes—
2421C42C23×D5314yes—
2422C42C23×D5312yes—
2423C42C23×D5312yes—
2424C42C23×D5312yes—
2425C23—22no—
2426C23—41no—
2427C23—41no—
2428C23—531no—
2429C23—531no—
2430C23—534no—
2431C23—532no—
2432C23—531no—
2433C23—531no—
2434C23—1064no—
2435C23—1062no—
2436C23—2121no—
2437C23—2121no—
2438C23—2122no—
2439C23—2122no—
2440C23—2121no—
2441C23—2121no—
2442C23C24×D5311yescharacteristic
2443C23C24×D5312yes—
2444C23C24×D5311yescharacteristic
2445C23C24×D5311yescharacteristic
2446Q8—24no—
2447Q8—24no—
2448Q8—22no—
2449Q8—44no—
2450Q8—1068no—
2451Q8—1068no—
2452Q8—1062no—
2453Q8—1062no—
2454Q8—1062no—
2455Q8—1062no—
2456Q8—1064no—
2457Q8—1064no—
2458Q8—1064no—
2459Q8—1062no—
2460Q8—2124no—
2461Q8—2124no—
2462Q8—2124no—
2463D4—24no—
2464D4—22no—
2465D4—42no—
2466D4—42no—
2467D4—1062no—
2468D4—1062no—
2469D4—1062no—
2470D4—1062no—
2471D4—1064no—
2472D4—1062no—
2473D4—1062no—
2474D4—1062no—
2475D4—1062no—
2476D4—1064no—
2477D4—1062no—
2478D4—1062no—
2479D4—1062no—
2480D4—1062no—
2481D4—1064no—
2482D4—1064no—
2483D4—1062no—
2484D4—2122no—
2485D4—2122no—
2486D4—2122no—
2487D4—2122no—
2488D4—2122no—
2489D4—2122no—
2490C2×C4—22no—
2491C2×C4—24no—
2492C2×C4—22no—
2493C2×C4—22no—
2494C2×C4—22no—
2495C2×C4—22no—
2496C2×C4—24no—
2497C2×C4—42no—
2498C2×C4—44no—
2499C2×C4—42no—
2500C2×C4—42no—
2501C2×C4—534no—
2502C2×C4—531no—
2503C2×C4—531no—
2504C2×C4—534no—
2505C2×C4—534no—
2506C2×C4—534no—
2507C2×C4—534no—
2508C2×C4—532no—
2509C2×C4—532no—
2510C2×C4—532no—
2511C2×C4—532no—
2512C2×C4—532no—
2513C2×C4—534no—
2514C2×C4—532no—
2515C2×C4—534no—
2516C2×C4—532no—
2517C2×C4—531no—
2518C2×C4—531no—
2519C2×C4—1064no—
2520C2×C4—1064no—
2521C2×C4—1068no—
2522C2×C4—1068no—
2523C2×C4—1064no—
2524C2×C4—1062no—
2525C2×C4—1064no—
2526C2×C4—1064no—
2527C2×C4—1062no—
2528C2×C4—1062no—
2529C2×C4—1062no—
2530C2×C4—1062no—
2531C2×C4—2122no—
2532C2×C4—2122no—
2533C2×C4—2124no—
2534C2×C4—2122no—
2535C2×C4—2122no—
2536C2×C4—2122no—
2537C2×C4—2122no—
2538C2×C4—2122no—
2539C2×C4—2124no—
2540C2×C4—2122no—
2541C2×C4—2122no—
2542C2×C4—2122no—
2543C2×C4—2124no—
2544C2×C4—2122no—
2545C2×C4—2122no—
2546C2×C4—2122no—
2547C2×C4#41×D5314yes—
2548C2×C4C24×D5312yes—
2549C2×C4C24×D5312yes—
2550C2×C4C24×D5311yescharacteristic
2551C2×C4C24×D5312yes—
2552C2×C4C24×D5312yes—
2553C2×C4C24×D5314yes—
2554C2×C4C24×D5312yes—
2555C2×C4C24×D5312yes—
2556C2×C4C24×D5314yes—
2557C2×C4C24×D5312yes—
2558C2×C4C24×D5311yescharacteristic
2559C2×C4C24×D5311yescharacteristic
2560C2×C4C24×D5311yescharacteristic
2561C22—21no—
2562C22—21no—
2563C22—21no—
2564C22—21no—
2565C22—22no—
2566C22—21no—
2567C22—22no—
2568C22—21no—
2569C22—22no—
2570C22—21no—
2571C22—21no—
2572C22—82no—
2573C22—532no—
2574C22—532no—
2575C22—1061no—
2576C22—1061no—
2577C22—1061no—
2578C22—1061no—
2579C22—1062no—
2580C22—1061no—
2581C22—1061no—
2582C22—1061no—
2583C22—1062no—
2584C22—1061no—
2585C22—1061no—
2586C22—1062no—
2587C22—1061no—
2588C22—4242no—
2589C22—4244no—
2590C22—2124no—
2591C22C2×#41×D5312yes—
2592C22C25×D5311yescharacteristic
2593C4—21no—
2594C4—21no—
2595C4—22no—
2596C4—24no—
2597C4—22no—
2598C4—22no—
2599C4—22no—
2600C4—22no—
2601C4—24no—
2602C4—22no—
2603C4—22no—
2604C4—532no—
2605C4—532no—
2606C4—1062no—
2607C4—1061no—
2608C4—1061no—
2609C4—1064no—
2610C4—1062no—
2611C4—1062no—
2612C4—1064no—
2613C4—1062no—
2614C4—1062no—
2615C4—1062no—
2616C4—1062no—
2617C4C2×#41×D5312yes—
2618C4C2×#41×D5312yes—
2619C2—22no—
2620C2—41no—
2621C2—41no—
2622C2—42no—
2623C2—1062no—
2624C2—1062no—
2625C2—2121no—
2626C2—2121no—
2627C2—2122no—
2628C2C22×#41×D5311yescharacteristic
2629C2#2028952711yescharacteristic
2630C2#2028952811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3495C2
prime radical#20288045C2
hypercenter#3495D53
hypocenterC53#62860
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3495

Complements

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

NH ≅ G/Ntype
1. #20288607C2semidirect
2. #20288604C2semidirect
3. #20288603C2semidirect
4. #20288597C2semidirect
5. #20288594C2semidirect
6. #20288593C2semidirect
7. #20288578C2semidirect
8. #20288574C2semidirect
9. #20288574C2semidirect
10. #20288570C2semidirect
11. #20288470C2semidirect
12. #20288469C2semidirect
13. #20288468C2semidirect
14. #20288467C2semidirect
15. #20288466C2semidirect
16. #20288464C2semidirect
17. #20288463C2semidirect
18. #20288461C2semidirect
19. #20288460C2semidirect
20. #20288457C2semidirect
21. #20288456C2semidirect
22. #20288410C2semidirect
23. #20288406C2semidirect
24. #20288147C2semidirect
25. #20288146C2semidirect
26. #20288141C2semidirect
27. #20288140C2semidirect
28. #20288119C2semidirect
30. C2×#16811196C2semidirect
31. #536×D53C2semidirect
32. #20287916C2semidirect
33. #20287915C2semidirect
34. #519×D53C2semidirect
35. C53×#3495C2semidirect
39. #16811357C22semidirect
40. #16811357C22semidirect
41. #16811356C22semidirect
42. #16811355C22semidirect
43. #16811350C22semidirect
44. #16811350C22semidirect
45. #16811350C22semidirect
46. #16811349C22semidirect
47. #16811347C22semidirect
48. #16811346C22semidirect
49. #16811344C22semidirect
50. #16811344C22semidirect
51. #16811344C22semidirect
52. #16811344C22semidirect
53. #16811343C22semidirect
54. #16811341C22semidirect
55. #16811341C22semidirect
56. #16811341C22semidirect
57. #16811341C22semidirect
58. #16811340C22semidirect
59. #16811340C22semidirect
60. #16811340C22semidirect
61. #16811340C22semidirect
62. #16811334C22semidirect
63. #16811333C22semidirect
64. #16811331C22semidirect
65. #16811331C22semidirect
66. #16811330C22semidirect
67. #16811328C22semidirect
68. #16811328C22semidirect
69. #16811315C22semidirect
70. #16811315C22semidirect
71. #16811315C22semidirect
72. #16811314C22semidirect
73. #16811314C22semidirect
74. #16811314C22semidirect
75. #16811313C22semidirect
76. #16811313C22semidirect
77. #16811313C22semidirect
78. #16811312C22semidirect
79. #16811312C22semidirect
80. #16811312C22semidirect
81. #16811311C22semidirect
82. #16811311C22semidirect
83. #16811311C22semidirect
84. #16811310C22semidirect
85. #16811310C22semidirect
86. #16811309C22semidirect
87. #16811309C22semidirect
88. #16811308C22semidirect
89. #16811308C22semidirect
90. #16811308C22semidirect
91. #16811307C22semidirect
92. #16811307C22semidirect
93. #16811307C22semidirect
94. #16811306C22semidirect
95. #16811306C22semidirect
96. #16811305C22semidirect
97. #16811305C22semidirect
98. #16811304C22semidirect
99. #16811303C22semidirect
100. #16811302C22semidirect
101. #16811302C22semidirect
102. #16811301C22semidirect
103. #16811300C22semidirect
104. #16811300C22semidirect
105. #16811299C22semidirect
106. #16811299C22semidirect
107. #16811298C22semidirect
108. #16811298C22semidirect
109. #16811297C22semidirect
110. #16811297C22semidirect
111. #16811296C22semidirect
112. #16811296C22semidirect
113. #16811254C22semidirect
114. #16811253C22semidirect
115. #16811253C22semidirect
116. #16811251C22semidirect
117. #16811251C22semidirect
118. #16811250C22semidirect
119. #16811250C22semidirect
121. #16811247C22semidirect
122. #16811246C22semidirect
123. #16811245C22semidirect
124. #16811244C22semidirect
125. #16811243C22semidirect
126. #16811242C22semidirect
127. #16811241C22semidirect
128. #16811240C22semidirect
129. #16811239C22semidirect
130. #16811238C22semidirect
131. #16811237C22semidirect
132. #16811236C22semidirect
133. #16811235C22semidirect
134. #16811234C22semidirect
135. #16811233C22semidirect
136. #16811233C22semidirect
137. #16811232C22semidirect
138. #16811232C22semidirect
139. #16811231C22semidirect
140. #16811231C22semidirect
141. #16811230C22semidirect
142. #16811230C22semidirect
143. #16811221C22semidirect
144. #16811221C22semidirect
145. #16811219C22semidirect
146. #16811219C22semidirect
147. #16811216C22semidirect
148. #16811216C22semidirect
149. #16811214C22semidirect
150. #16811214C22semidirect
156. #16811198C22semidirect
164. #16811196C22semidirect
165. #16811196C22semidirect
166. #16811196C22semidirect
167. #16811196C22semidirect
168. #16811196C22semidirect
169. #16811196C22semidirect
173. #16811193C22semidirect
179. #16811180C22semidirect
180. #16811179C22semidirect
181. #16811179C22semidirect
182. #16811179C22semidirect
183. #16811178C22semidirect
184. #16811178C22semidirect
185. #16811178C22semidirect
186. #16811178C22semidirect
187. #16811177C22semidirect
188. #16811177C22semidirect
189. #16811177C22semidirect
190. #16811176C22semidirect
191. #16811175C22semidirect
192. #16811175C22semidirect
193. #16811175C22semidirect
194. #16811175C22semidirect
197. C2×#13133216C22semidirect
198. C4⋊Q8×D53C22semidirect
199. #16811160C22semidirect
200. #16811160C22semidirect
201. #16811159C22semidirect
202. #16811158C22semidirect
203. #16811158C22semidirect
204. #16811157C22semidirect
205. #16811156C22semidirect
206. #16811156C22semidirect
207. #16811156C22semidirect
208. #16811155C22semidirect
209. #16811155C22semidirect
210. #16811154C22semidirect
211. #16811153C22semidirect
212. #16811152C22semidirect
213. #16811152C22semidirect
214. #16811151C22semidirect
215. #16811151C22semidirect
216. #16811151C22semidirect
217. #16811150C22semidirect
218. C2×#13133203C22semidirect
219. #124×D53C22semidirect
228. C2×#13133197C22semidirect
229. C2×#13133196C22semidirect
230. C2×#13133193C22semidirect
231. C22⋊Q8×D53C22semidirect
232. C22⋊Q8×D53C22semidirect
237. #16811104C22semidirect
238. #16811104C22semidirect
239. #16811104C22semidirect
243. #16811103C22semidirect
244. #16811103C22semidirect
245. #16811103C22semidirect
246. #16811101C22semidirect
247. #16811100C22semidirect
248. #16811100C22semidirect
249. #16811100C22semidirect
250. #16811100C22semidirect
251. #16811099C22semidirect
252. #16811099C22semidirect
253. #16811099C22semidirect
254. #16811099C22semidirect
255. #16811099C22semidirect
258. #16811096C22semidirect
260. #16811095C22semidirect
261. C4×#11719949C22semidirect
263. C4×#11719945C22semidirect
265. #16811091C22semidirect
267. C4×#11719947C22semidirect
268. C4×Q8×D53C22semidirect
269. C4×Q8×D53C22semidirect
270. C4×Q8×D53C22semidirect
271. C4×Q8×D53C22semidirect
272. C2×#13133176C22semidirect
274. C2×#13133175C22semidirect
279. #117×D53C22semidirect
280. #117×D53C22semidirect
281. #117×D53C22semidirect
282. C53×#556C22semidirect
283. C53×#554C22semidirect
284. C53×#552C22semidirect
285. C53×#552C22semidirect
286. C53×#552C22semidirect
287. C53×#551C22semidirect
288. C53×#544C22semidirect
289. C53×#542C22semidirect
290. C53×#541C22semidirect
292. C53×#533C22semidirect
293. C53×#529C22semidirect
295. C2×C22⋊Q8×C53C22semidirect
297. C53×#519C22semidirect
298. C2×#117×C53C22semidirect
1325. #3495D53semidirect
1377. #556C2×D53semidirect
1385. #554C2×D53semidirect
1415. #552C2×D53semidirect
1416. #552C2×D53semidirect
1417. #552C2×D53semidirect
1433. #551C2×D53semidirect
1441. #544C2×D53semidirect
1454. #542C2×D53semidirect
1466. #541C2×D53semidirect
1520. #533C2×D53semidirect
1544. #529C2×D53semidirect
1561. C2×C22⋊Q8C2×D53semidirect
1586. #519C2×D53semidirect
1613. C2×#117C2×D53semidirect
1614. C53#62860semidirect

Maximal subgroups

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

subgroupindex
#202886072
#202886042
#202886032
#202885972
#202885942
#202885932
#202885782
#202885742
#202885702
#202884702
#202884692
#202884682
#202884672
#202884662
#202884642
#202884632
#202884612
#202884602
#202884572
#202884562
#202884102
#202884062
#202881472
#202881462
#202881412
#202881402
#202881192
#202880452
C2×#168111962
#536×D532
#202879162
#202879152
#519×D532
C53×#34952
#6286053