Finite Group Databasebeta

← #28292694

Subgroups — #28292694

Order 13568.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288815C212yesmaximal, complemented
2#20288810C211yesmaximal, characteristic, complemented
3#20288797C211yesmaximal, characteristic, complemented
4#20288776C214yesmaximal, complemented
5#20288768C212yesmaximal, complemented
6#20288765C211yesmaximal, characteristic, complemented
7#20288757C212yesmaximal, complemented
8#20288744C212yesmaximal, complemented
9#20288738C211yesmaximal, characteristic, complemented
10#20288730C211yesmaximal, characteristic, complemented
11#20288713C211yesmaximal, characteristic, complemented
12#20288702C212yesmaximal, complemented
13#20288693C211yesmaximal, characteristic, complemented
14#20288681C212yesmaximal, complemented
15#20288670C212yesmaximal, complemented
16#20288651C214yesmaximal, complemented
17#20288643C212yesmaximal, complemented
18#20288311C211yesmaximal, characteristic, complemented
19#20288305C212yesmaximal, complemented
20Q8×#11719947C211yesmaximal, characteristic, complemented
21#20288276C211yesmaximal, characteristic, complemented
22#20288272C212yesmaximal, complemented
23#20288270C214yesmaximal, complemented
24#20288266C212yesmaximal, complemented
25#20288199C212yesmaximal, complemented
26D4×#11719947C211yesmaximal, characteristic, complemented
27#20288102C212yesmaximal, complemented
28#20288097C214yesmaximal, complemented
29#20288010C211yesmaximal, characteristic, complemented
30#20288009C212yesmaximal, complemented
31C2×#16811152C212yesmaximal, complemented
32#529×D53C211yesmaximal, characteristic, complemented
33#20287913C212yesmaximal, complemented
34C4×#41×D53C211yesmaximal, characteristic, complemented
35C53×#3514C211yesmaximal, characteristic, complemented
36C22×#11719947C2212yes—
37C2×#41×D53C2211yescharacteristic
38#16811356C2212yescomplemented
39#16811355C2212yescomplemented
40#16811355C2214yescomplemented
41Q8×Dic106C2211yescharacteristic, complemented
42#16811351C2211yescharacteristic, complemented
43#16811349C2212yescomplemented
44#16811348C2211yescharacteristic, complemented
45#16811348C2212yescomplemented
46#16811346C2211yescharacteristic, complemented
47#16811344C2214yescomplemented
48#16811344C2212yescomplemented
49#16811343C2212yescomplemented
50#16811342C2212yescomplemented
51#16811342C2212yescomplemented
52#16811340C2214yescomplemented
53#16811338C2211yescharacteristic, complemented
54#16811337C2212yescomplemented
55#16811335C2214yescomplemented
56#16811334C2212yescomplemented
57#16811333C2211yescharacteristic, complemented
58#16811332C2212yescomplemented
59#16811331C2214yescomplemented
60#16811331C2212yescomplemented
61#16811330C2212yescomplemented
62#16811330C2211yescharacteristic, complemented
63#16811327C2214yescomplemented
64#16811325C2214yescomplemented
65#16811325C2212yescomplemented
66#16811323C2212yescomplemented
67#16811322C2214yescomplemented
68#16811320C2212yescomplemented
69#16811320C2212yescomplemented
70#16811319C2214yescomplemented
71#16811319C2212yescomplemented
72#16811318C2214yescomplemented
73#16811318C2214yescomplemented
74#16811317C2212yescomplemented
75#16811316C2214yescomplemented
76#16811315C2212yescomplemented
77#16811314C2212yescomplemented
78#16811313C2212yescomplemented
79#16811312C2214yescomplemented
80#16811312C2212yescomplemented
81#16811312C2212yescomplemented
82#16811310C2214yescomplemented
83#16811310C2214yescomplemented
84#16811309C2214yescomplemented
85#16811307C2212yescomplemented
86#16811306C2214yescomplemented
87#16811306C2214yescomplemented
88#16811304C2214yescomplemented
89#16811303C2214yescomplemented
90#16811303C2214yescomplemented
91#16811302C2214yescomplemented
92#16811300C2214yescomplemented
93#16811299C2214yescomplemented
94#16811299C2214yescomplemented
95#16811298C2214yescomplemented
96#16811293C2211yescharacteristic, complemented
97#16811293C2211yescharacteristic, complemented
98#16811292C2212yescomplemented
99#16811291C2212yescomplemented
100D4×Dic106C2211yescharacteristic, complemented
101Q8×C22⋊D53C2212yescomplemented
102#16811286C2212yescomplemented
103#16811284C2212yescomplemented
104#16811282C2212yescomplemented
105#16811281C2212yescomplemented
106#16811281C2212yescomplemented
107#16811279C2212yescomplemented
108#16811278C2212yescomplemented
109#16811277C2211yescharacteristic, complemented
110#16811276C2211yescharacteristic, complemented
111#16811273C2212yescomplemented
112#16811272C2212yescomplemented
113#16811272C2212yescomplemented
114#16811271C2214yescomplemented
115#16811271C2214yescomplemented
116#16811270C2214yescomplemented
117#16811268C2212yescomplemented
118#16811267C2212yescomplemented
119#16811267C2212yescomplemented
120#16811266C2212yescomplemented
121#16811263C2214yescomplemented
122#16811263C2214yescomplemented
123#16811262C2214yescomplemented
124#16811260C2214yescomplemented
125#16811260C2214yescomplemented
126D4×C22⋊D53C2212yescomplemented
127D4×C22⋊D53C2212yescomplemented
128#16811255C2214yescomplemented
129#16811247C2212yescomplemented
130#16811244C2212yescomplemented
131#16811242C2212yescomplemented
132#16811241C2214yescomplemented
133#16811241C2214yescomplemented
134#16811237C2214yescomplemented
135#16811237C2214yescomplemented
136#16811233C2212yescomplemented
137#16811231C2212yescomplemented
138#16811230C2214yescomplemented
139#16811230C2214yescomplemented
140#16811226C2212yescomplemented
141#16811224C2212yescomplemented
142#16811223C2214yescomplemented
143#16811223C2214yescomplemented
144#16811222C2214yescomplemented
145#16811219C2214yescomplemented
146#16811218C2214yescomplemented
147#16811215C2214yescomplemented
148#16811215C2214yescomplemented
149#16811214C2214yescomplemented
150#16811211C2214yescomplemented
151#16811209C2214yescomplemented
152#16811208C2214yescomplemented
153#16811208C2214yescomplemented
154#16811207C2214yescomplemented
155#16811180C2211yescharacteristic, complemented
156#16811179C2212yescomplemented
157#16811178C2211yescharacteristic, complemented
158#16811178C2211yescharacteristic, complemented
159#16811178C2212yescomplemented
160#16811177C2212yescomplemented
161#16811175C2212yescomplemented
162#16811175C2214yescomplemented
163#16811172C2212yescomplemented
164#16811172C2212yescomplemented
165#16811171C2211yescharacteristic, complemented
166#16811171C2211yescharacteristic, complemented
167#16811170C2212yescomplemented
168#16811168C2212yescomplemented
169#16811168C2214yescomplemented
170#16811160C2211yescharacteristic, complemented
171#16811159C2214yescomplemented
172#16811159C2211yescharacteristic, complemented
173#16811158C2211yescharacteristic, complemented
174#16811157C2212yescomplemented
175#16811157C2211yescharacteristic, complemented
176#16811156C2214yescomplemented
177#16811156C2214yescomplemented
178#16811156C2212yescomplemented
179#16811156C2214yescomplemented
180#16811155C2211yescharacteristic
181#16811155C2212yescomplemented
182#16811155C2212yescomplemented
183#16811154C2212yescomplemented
184#16811154C2212yescomplemented
185#16811154C2211yescharacteristic, complemented
186#16811154C2214yescomplemented
187#16811153C2212yescomplemented
188#16811152C2212yes—
189#16811152C2211yescharacteristic
190#16811152C2214yescomplemented
191#16811152C2212yescomplemented
192#16811152C2212yescomplemented
193#16811152C2212yescomplemented
194#16811152C2214yescomplemented
195#16811152C2214yescomplemented
196#16811152C2212yescomplemented
197#16811152C2212yescomplemented
198#16811152C2214yescomplemented
199#16811152C2214yescomplemented
200#16811152C2212yescomplemented
201#16811152C2212yescomplemented
202#16811151C2214yescomplemented
203#16811151C2212yescomplemented
204#16811150C2214yescomplemented
205#16811150C2214yescomplemented
206#16811150C2214yescomplemented
207#16811150C2212yescomplemented
208C2×#13133210C2214yescomplemented
209#126×D53C2212yescomplemented
210C2×#13133209C2212yescomplemented
211#125×D53C2211yescharacteristic, complemented
212#124×D53C2211yescharacteristic, complemented
213#16811136C2212yescomplemented
214#16811136C2212yescomplemented
215#16811133C2212yescomplemented
216#16811133C2212yescomplemented
217#16811133C2212yescomplemented
218#16811133C2212yescomplemented
219#16811132C2214yescomplemented
220#16811131C2214yescomplemented
221#16811130C2212yescomplemented
222#16811129C2214yescomplemented
223#16811129C2214yescomplemented
224C2×#13133199C2214yescomplemented
225#123×D53C2212yescomplemented
226C2×#13133193C2212yescomplemented
227C22⋊Q8×D53C2211yescharacteristic, complemented
228C2×#13133188C2212yes—
229#121×D53C2211yescharacteristic
230#16811102C2212yescomplemented
231#16811102C2214yescomplemented
232#16811102C2212yescomplemented
233#16811102C2212yescomplemented
234#16811102C2214yescomplemented
235#16811102C2212yescomplemented
236#16811100C2212yescomplemented
237#16811100C2212yescomplemented
238#16811098C2212yescomplemented
239#16811096C2214yescomplemented
240#16811096C2214yescomplemented
241#41×Dic53C2211yescharacteristic, complemented
242#41×Dic53C2212yescomplemented
243C4×#11719949C2212yescomplemented
244C4×#11719949C2211yescharacteristic, complemented
245C4×#11719949C2211yescharacteristic, complemented
246C4×#11719945C2212yescomplemented
247C4×#11719945C2211yescharacteristic, complemented
248#16811091C2212yescomplemented
249#16811091C2214yescomplemented
250#16811091C2211yescharacteristic, complemented
251C4×#11719947C2211yescharacteristic
252C4×#11719947C2212yes—
253C4×#11719947C2211yescharacteristic
254C4×#11719947C2212yescomplemented
255C4×#11719947C2214yescomplemented
256C4×#11719947C2212yescomplemented
257C4×#11719947C2212yescomplemented
258C4×#11719947C2212yescomplemented
259C4×#11719947C2214yescomplemented
260C4×#11719947C2212yescomplemented
261C4×#11719947C2212yescomplemented
262C2×Q8×Dic53C2212yescomplemented
263C4×Q8×D53C2211yescharacteristic, complemented
264C4×Q8×D53C2211yescharacteristic, complemented
265C4×Q8×D53C2211yescharacteristic, complemented
266C2×D4×Dic53C2212yescomplemented
267C2×#13133177C2214yescomplemented
268C4×D4×D53C2212yescomplemented
269C4×D4×D53C2211yescharacteristic, complemented
270C4×D4×D53C2211yescharacteristic, complemented
271C4×D4×D53C2212yescomplemented
272C4×D4×D53C2211yescharacteristic, complemented
273C4×D4×D53C2212yescomplemented
274C2×#13133173C2214yescomplemented
275C2×#13133173C2214yescomplemented
276#117×D53C2212yescomplemented
277#117×D53C2211yescharacteristic, complemented
278#117×D53C2212yescomplemented
279#117×D53C2212yescomplemented
280C2×C42×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#559C2211yescharacteristic, complemented
283C53×#556C2211yescharacteristic, complemented
284C53×#555C2212yescomplemented
285C53×#551C2214yescomplemented
286D4×Q8×C53C2211yescharacteristic, complemented
287C53×#548C2212yescomplemented
288C53×#546C2212yescomplemented
289C53×#546C2212yescomplemented
290D42×C53C2211yescharacteristic, complemented
291C53×#542C2212yescomplemented
292C53×#538C2214yescomplemented
293C53×#532C2211yescharacteristic, complemented
294C53×#529C2212yescomplemented
295C53×#529C2211yescharacteristic, complemented
296C2×#124×C53C2212yescomplemented
297C53×#518C2212yescomplemented
298C4×#41×C53C2211yescharacteristic, complemented
299C2×#11719949C2311yescharacteristic
300C2×#11719949C2312yes—
301C2×#11719945C2312yes—
302C2×#11719945C2311yescharacteristic
303C2×#11719945C2314yes—
304C2×#11719947—216no—
305C2×#11719947C2312yes—
306C2×#11719947C2314yes—
307C2×#11719947C2312yes—
308C2×#11719947C2312yes—
309C2×#11719947C2314yes—
310C2×#11719947C2312yes—
311C2×#11719947C2312yes—
312C2×#11719947C2312yes—
313C2×#11719947C2311yescharacteristic
314#41×D53—28no—
315C22×Dic106C2312yes—
316C2×Q8×D53C2311yescharacteristic
317C2×Q8×D53C2311yescharacteristic
318C22×C22⋊D53C2314yes—
319C22×C22⋊D53C2314yes—
320C2×D4×D53C2311yescharacteristic
321C2×D4×D53C2312yes—
322C2×D4×D53C2311yescharacteristic
323C2×D4×D53C2312yes—
324C23×Dic53C2314yes—
325C22×C4×D53C2311yescharacteristic
326C22×C4×D53C2312yes—
327C22×C4×D53C2312yes—
328C22×C4×D53C2311yescharacteristic
329C22×C4×D53C2312yes—
330C22×C4×D53C2311yescharacteristic
331C22×C4×D53C2312yes—
332#13133217C2311yescharacteristic
333#13133217C2312yes—
334#13133217C2311yescharacteristic
335#13133216C2314yes—
336#13133216C2314yes—
337#13133216C2312yes—
338#13133216C2312yes—
339#13133215C2312yes—
340#13133215C2312yes—
341#13133215C2314yes—
342#13133213C2314yes—
343#13133213C2312yes—
344#13133213C2312yes—
345#13133212C2314yes—
346#13133212C2314yes—
347#13133212C2314yes—
348#13133212C2314yes—
349#13133212C2312yes—
350#13133212C2312yes—
351#13133212C2312yes—
352#13133211C2314yes—
353#13133211C2312yes—
354#13133211C2314yes—
355#13133210C2314yes—
356#13133210C2312yes—
357#13133210C2314yes—
358#13133210C2314yes—
359#13133210C2314yes—
360#13133210C2314yes—
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2312yes—
367#13133210C2312yes—
368#13133210C2314yes—
369#13133210C2314yes—
370#13133210C2314yes—
371#13133210C2314yes—
372#13133209C2314yes—
373#13133209C2314yes—
374#13133209C2312yes—
375#13133209C2312yes—
376#13133209C2311yescharacteristic
377#13133209C2312yes—
378#13133209C2314yes—
379#13133208C2312yes—
380#13133208C2314yes—
381#13133208C2314yes—
382#13133208C2312yes—
383#13133208C2312yes—
384#13133208C2311yescharacteristic
385#13133208C2311yescharacteristic
386#13133208C2312yes—
387#13133207C2312yes—
388#13133207C2314yes—
389#13133207C2314yes—
390#13133207C2314yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133207C2314yes—
394#13133207C2312yes—
395#13133207C2314yes—
396#13133206C2311yescharacteristic
397#13133206C2314yes—
398#13133205C2312yes—
399#13133205C2311yescharacteristic
400#13133204C2311yescharacteristic
401#13133204C2312yes—
402#13133204C2314yes—
403#13133204C2312yes—
404#13133203C2314yes—
405#13133203C2314yes—
406#13133203C2314yes—
407#13133203C2314yes—
408#13133203C2314yes—
409#13133203C2312yes—
410#13133203C2314yes—
411#13133203C2312yes—
412#13133203C2314yes—
413#13133202C2312yes—
414#13133202C2314yes—
415#13133202C2314yes—
416#13133202C2312yes—
417#13133202C2314yes—
418#13133201C2314yes—
419#13133201C2314yes—
420#13133201C2314yes—
421#13133201C2314yes—
422#13133201C2312yes—
423#13133200C2314yes—
424#13133200C2314yes—
425#13133200C2314yes—
426#13133200C2312yes—
427#13133199C2314yes—
428#13133199C2314yes—
429#13133199C2314yes—
430#13133199C2314yes—
431#13133199C2314yes—
432#13133199C2314yes—
433#13133199C2314yes—
434#13133199C2314yes—
435#13133199C2312yes—
436#13133199C2314yes—
437#13133199C2312yes—
438#13133199C2314yes—
439#13133199C2314yes—
440#13133199C2314yes—
441#13133199C2314yes—
442#13133198C2314yes—
443#13133198C2314yes—
444#13133198C2314yes—
445#13133198C2314yes—
446#13133198C2312yes—
447#13133198C2314yes—
448#13133197C2312yes—
449#13133197C2314yes—
450#13133197C2312yes—
451#13133197C2312yes—
452#13133197C2311yescharacteristic
453#13133196C2312yes—
454#13133196C2312yes—
455#13133196C2311yescharacteristic
456#13133196C2312yes—
457#13133196C2314yes—
458#13133196C2314yes—
459#13133196C2312yes—
460#13133195C2314yes—
461#13133195C2314yes—
462#13133195C2314yes—
463#13133195C2312yes—
464#13133195C2314yes—
465#13133194C2314yes—
466#13133194C2314yes—
467#13133194C2314yes—
468#13133194C2314yes—
469#13133194C2314yes—
470#13133194C2314yes—
471#13133194C2314yes—
472#13133194C2314yes—
473#13133194C2314yes—
474#13133194C2312yes—
475#13133193C2312yes—
476#13133193C2312yes—
477#13133193C2312yes—
478#13133193C2312yes—
479#13133193C2314yes—
480#13133193C2314yes—
481#13133193C2314yes—
482#13133193C2311yescharacteristic
483#13133193C2312yes—
484#13133193C2314yes—
485#13133192C2312yes—
486#13133192C2311yescharacteristic
487#13133191C2314yes—
488#13133191C2312yes—
489#13133191C2312yes—
490#13133191C2311yescharacteristic
491#13133191C2314yes—
492#13133190C2314yes—
493#13133190C2314yes—
494#13133190C2314yes—
495#13133190C2314yes—
496#13133190C2314yes—
497#13133190C2312yes—
498#13133190C2314yes—
499#13133189C2314yes—
500#13133189C2314yes—
501#13133189C2314yes—
502#13133189C2314yes—
503#13133189C2314yes—
504#13133189C2314yes—
505#13133189C2314yes—
506#13133189C2314yes—
507#13133189C2314yes—
508#13133189C2312yes—
509#13133188C2312yes—
510#13133188C2312yes—
511#13133188C2314yes—
512#13133188C2314yes—
513#13133188C2312yes—
514#13133188C2312yes—
515#13133188C2312yes—
516#13133188C2312yes—
517#13133188C2311yescharacteristic
518#13133188C2312yes—
519#13133188C2314yes—
520#13133187C2314yes—
521#13133187C2314yes—
522#13133186C2314yes—
523#13133186C2314yes—
524#13133185C2314yes—
525#13133185C2314yes—
526#13133185C2314yes—
527Q8×Dic53C2312yes—
528Q8×Dic53C2312yes—
529Q8×Dic53C2312yes—
530Q8×Dic53C2311yescharacteristic
531Q8×Dic53C2314yes—
532Q8×Dic53C2311yescharacteristic
533Q8×Dic53C2311yescharacteristic
534Q8×Dic53C2312yes—
535Q8×Dic53C2314yes—
536C4×Dic106C2312yes—
537C4×Dic106C2312yes—
538C4×Dic106C2311yescharacteristic
539C4×Dic106C2311yescharacteristic
540C4×Dic106C2312yes—
541C4×Dic106C2314yes—
542C4×Dic106C2312yes—
543C4×Dic106C2312yes—
544C4×Dic106C2312yes—
545C4×Dic106C2311yescharacteristic
546C4×Dic106C2312yes—
547C4×Dic106C2314yes—
548C4×Dic106C2312yes—
549#13133182C2311yescharacteristic
550#13133182C2312yes—
551#13133182C2312yes—
552#13133182C2314yes—
553#13133182C2312yes—
554#13133182C2314yes—
555#13133182C2311yescharacteristic
556#13133182C2311yescharacteristic
557#13133182C2312yes—
558#13133182C2312yes—
559#13133182C2312yes—
560#13133182C2314yes—
561#13133182C2312yes—
562#13133182C2314yes—
563C4×D212C2312yes—
564C4×D212C2312yes—
565C4×D212C2312yes—
566C4×D212C2311yescharacteristic
567C4×D212C2311yescharacteristic
568C4×D212C2314yes—
569C4×D212C2312yes—
570C4×D212C2311yescharacteristic
571D4×Dic53C2311yescharacteristic
572D4×Dic53C2312yes—
573D4×Dic53C2312yes—
574D4×Dic53C2312yes—
575D4×Dic53C2314yes—
576D4×Dic53C2312yes—
577D4×Dic53C2312yes—
578D4×Dic53C2312yes—
579D4×Dic53C2314yes—
580D4×Dic53C2314yes—
581D4×Dic53C2311yescharacteristic
582D4×Dic53C2311yescharacteristic
583D4×Dic53C2312yes—
584D4×Dic53C2312yes—
585D4×Dic53C2312yes—
586D4×Dic53C2314yes—
587D4×Dic53C2314yes—
588D4×Dic53C2312yes—
589D4×Dic53C2312yes—
590D4×Dic53C2314yes—
591#13133179C2314yes—
592#13133179C2312yes—
593#13133179C2311yescharacteristic
594#13133179C2312yes—
595#13133179C2312yes—
596#13133179C2311yescharacteristic
597#13133179C2311yescharacteristic
598#13133179C2314yes—
599C4×C22⋊D53C2312yes—
600C4×C22⋊D53C2312yes—
601C4×C22⋊D53C2314yes—
602C4×C22⋊D53C2312yes—
603C4×C22⋊D53C2312yes—
604C4×C22⋊D53C2312yes—
605C4×C22⋊D53C2314yes—
606C4×C22⋊D53C2312yes—
607C4×C22⋊D53C2314yes—
608C4×C22⋊D53C2314yes—
609C4×C22⋊D53C2314yes—
610C4×C22⋊D53C2314yes—
611C4×C22⋊D53C2312yes—
612C4×C22⋊D53C2312yes—
613C4×C22⋊D53C2312yes—
614C4×C22⋊D53C2314yes—
615C4×C22⋊D53C2314yes—
616C4×C22⋊D53C2314yes—
617#13133177C2314yes—
618#13133177C2314yes—
619#13133177C2314yes—
620#13133177C2314yes—
621#13133177C2314yes—
622#13133177C2314yes—
623#13133177C2314yes—
624#13133177C2312yes—
625#13133177C2314yes—
626#13133177C2314yes—
627#13133177C2314yes—
628#13133177C2312yes—
629#13133177C2312yes—
630#13133177C2312yes—
631#13133177C2312yes—
632#13133177C2312yes—
633#13133177C2312yes—
634#13133177C2312yes—
635#13133177C2312yes—
636#13133177C2314yes—
637#13133177C2314yes—
638#13133177C2314yes—
639#13133177C2314yes—
640#13133177C2314yes—
641#13133177C2314yes—
642#13133177C2314yes—
643#13133177C2314yes—
644#13133176C2312yes—
645#13133176C2314yes—
646#13133176C2312yes—
647#13133176C2312yes—
648#13133176C2311yescharacteristic
649#13133176C2312yes—
650#13133175C2314yes—
651#13133175C2312yes—
652#13133175C2312yes—
653#13133175C2312yes—
654#13133175C2311yescharacteristic
655#13133175C2312yes—
656#13133175C2311yescharacteristic
657#13133175C2312yes—
658#13133175C2312yes—
659#13133175C2312yes—
660#13133175C2312yes—
661#13133174C2314yes—
662#13133174C2314yes—
663#13133174C2312yes—
664#13133174C2314yes—
665#13133174C2312yes—
666#13133174C2312yes—
667#13133174C2312yes—
668#13133174C2312yes—
669#13133173C2314yes—
670#13133173C2314yes—
671#13133173C2314yes—
672#13133173C2314yes—
673#13133173C2314yes—
674#13133173C2314yes—
675#13133173C2312yes—
676#13133173C2312yes—
677#13133173C2312yes—
678#13133173C2314yes—
679#13133173C2312yes—
680#13133173C2312yes—
681#13133173C2314yes—
682#13133173C2314yes—
683#13133173C2314yes—
684#13133173C2314yes—
685#13133173C2314yes—
686#13133173C2314yes—
687#13133173C2314yes—
688C2×C4⋊Dic53C2312yes—
689C2×C4⋊Dic53C2312yes—
690C2×C4⋊Dic53C2314yes—
691C2×#11719919C2314yes—
692C2×#11719919C2314yes—
693C2×#11719919C2314yes—
694C2×#11719919C2314yes—
695C2×#11719919C2314yes—
696C4⋊C4×D53C2312yes—
697C4⋊C4×D53C2312yes—
698C4⋊C4×D53C2311yescharacteristic
699C4⋊C4×D53C2312yes—
700C4⋊C4×D53C2311yescharacteristic
701C4⋊C4×D53C2312yes—
702C4⋊C4×D53C2312yes—
703C4⋊C4×D53C2312yes—
704C4⋊C4×D53C2311yescharacteristic
705C4⋊C4×D53C2311yescharacteristic
706C4⋊C4×D53C2312yes—
707C4⋊C4×D53C2312yes—
708C2×C22⋊Dic53C2314yes—
709C2×C22⋊Dic53C2314yes—
710C2×C22⋊Dic53C2314yes—
711C2×#11719921C2314yes—
712C22⋊C4×D53C2314yes—
713C22⋊C4×D53C2312yes—
714C22⋊C4×D53C2312yes—
715C22⋊C4×D53C2312yes—
716C22⋊C4×D53C2312yes—
717C22⋊C4×D53C2312yes—
718C22⋊C4×D53C2312yes—
719C22⋊C4×D53C2312yes—
720C22⋊C4×D53C2312yes—
721C2×C4×Dic53C2312yes—
722C2×C4×Dic53C2312yes—
723C2×C4×Dic53C2311yescharacteristic
724C2×C4×Dic53C2311yescharacteristic
725C2×C4×Dic53C2312yes—
726C2×C4×Dic53C2311yescharacteristic
727C2×C4×Dic53C2314yes—
728C2×C4×Dic53C2314yes—
729C2×C4×Dic53C2314yes—
730C42×D53C2311yescharacteristic
731C42×D53C2311yescharacteristic
732C42×D53C2311yescharacteristic
733C42×D53C2312yes—
734C42×D53C2311yescharacteristic
735C42×D53C2311yescharacteristic
736C42×D53C2312yes—
737C42×D53C2312yes—
738C42×D53C2311yescharacteristic
739C42×D53C2312yes—
740C42×D53C2312yes—
741C42×D53C2311yescharacteristic
742C42×D53C2312yes—
743C42×D53C2311yescharacteristic
744C42×D53C2312yes—
745C42×D53C2312yes—
746C42×D53C2314yes—
747C2×#41×C53C2311yescharacteristic
748C2×#41×C53C2312yes—
749C22×Q8×C53C2312yes—
750C22×D4×C53C2312yes—
751C22×D4×C53C2312yes—
752C4⋊Q8×C53C2311yescharacteristic
753C4⋊Q8×C53C2312yes—
754#127×C53C2311yescharacteristic
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2312yes—
758#125×C53C2311yescharacteristic
759#124×C53C2312yes—
760#124×C53C2312yes—
761#124×C53C2312yes—
762#124×C53C2314yes—
763#124×C53C2314yes—
764#124×C53C2311yescharacteristic
765#124×C53C2312yes—
766#124×C53C2314yes—
767#123×C53C2314yes—
768#123×C53C2314yes—
769#123×C53C2312yes—
770#123×C53C2314yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2314yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2311yescharacteristic
775C22⋊Q8×C53C2314yes—
776#121×C53C2314yes—
777#121×C53C2312yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2311yescharacteristic
781#121×C53C2312yes—
782#121×C53C2314yes—
783#120×C53C2314yes—
784#120×C53C2314yes—
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2311yescharacteristic
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2311yescharacteristic
789C4×D4×C53C2312yes—
790C4×D4×C53C2311yescharacteristic
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2311yescharacteristic
794C4×D4×C53C2311yescharacteristic
795C4×D4×C53C2312yes—
796C4×D4×C53C2312yes—
797C4×D4×C53C2314yes—
798C4×D4×C53C2314yes—
799C4×D4×C53C2312yes—
800C4×D4×C53C2312yes—
801C4×D4×C53C2312yes—
802#117×C53C2312yes—
803#117×C53C2311yescharacteristic
804#117×C53C2312yes—
805#117×C53C2312yes—
806#117×C53C2314yes—
807C2×C22⋊C4×C53C2314yes—
808C2×C22⋊C4×C53C2314yes—
809C2×C22⋊C4×C53C2314yes—
810C2×C42×C53C2312yes—
811C2×C42×C53C2311yescharacteristic
812C24×C53C2414yes—
813C23×D53C2411yescharacteristic
814C23×D53C2412yes—
815C23×D53C2412yes—
816#41×C53—24no—
817#41×C53—44no—
818C2×Q8×C53—44no—
819C2×Q8×C53C2411yescharacteristic
820C2×Q8×C53C2411yescharacteristic
821C2×Q8×C53C2412yes—
822C2×Q8×C53C2414yes—
823C2×D4×C53—28no—
824C2×D4×C53—44no—
825C2×D4×C53C2412yes—
826C2×D4×C53C2414yes—
827C2×D4×C53C2412yes—
828C2×D4×C53C2411yescharacteristic
829C2×D4×C53C2412yes—
830C2×D4×C53C2412yes—
831C2×D4×C53C2412yes—
832C2×D4×C53C2414yes—
833C2×D4×C53C2414yes—
834C2×D4×C53C2411yescharacteristic
835C22×C4×C53C2412yes—
836C22×C4×C53C2411yescharacteristic
837C22×C4×C53C2412yes—
838C22×C4×C53C2411yescharacteristic
839C22×C4×C53C2412yes—
840C22×C4×C53C2412yes—
841C22×C4×C53C2411yescharacteristic
842C22×C4×C53C2414yes—
843C22×C4×C53C2414yes—
844C22×C4×C53C2414yes—
845C2×C22⋊D53—216no—
846C2×C22⋊D53—48no—
847C2×C22⋊D53C2414yes—
848C2×C22⋊D53C2412yes—
849C2×C22⋊D53C2414yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2414yes—
852C2×C22⋊D53C2412yes—
853C2×C22⋊D53C2414yes—
854C2×C22⋊D53C2414yes—
855C2×C22⋊D53C2414yes—
856C2×C22⋊D53C2414yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2412yes—
859C2×C22⋊D53C2412yes—
860C2×C22⋊D53C2412yes—
861C22×Dic53—216no—
862C22×Dic53C2414yes—
863C22×Dic53C2411yescharacteristic
864C22×Dic53C2414yes—
865C22×Dic53C2414yes—
866C22×Dic53C2412yes—
867C22×Dic53C2414yes—
868C22×Dic53C2412yes—
869C22×Dic53C2412yes—
870C22×Dic53C2411yescharacteristic
871C22×Dic53C2411yescharacteristic
872C22×Dic53C2414yes—
873C22×Dic53C2414yes—
874C22×Dic53C2414yes—
875C22×Dic53C2412yes—
876#11719949—24no—
877#11719949—44no—
878Q8×D53—24no—
879Q8×D53—42no—
880#11719947—28no—
881#11719947—216no—
882#11719947—28no—
883#11719947—216no—
884#11719947—28no—
885#11719947—28no—
886#11719947—44no—
887#11719947—44no—
888#11719947#4118yescomplemented
889D4×D53—24no—
890D4×D53—28no—
891D4×D53—42no—
892D4×D53—44no—
893#11719945—28no—
894#11719945—24no—
895#11719945—48no—
896C2×D212C2412yes—
897C2×D212C2412yes—
898C2×D212C2411yescharacteristic
899C2×D212C2411yescharacteristic
900C2×D212C2414yes—
901C2×C4×D53—28no—
902C2×C4×D53—24no—
903C2×C4×D53—28no—
904C2×C4×D53—42no—
905C2×C4×D53—44no—
906C2×C4×D53—44no—
907C2×C4×D53—42no—
908C2×C4×D53C2411yescharacteristic
909C2×C4×D53C2411yescharacteristic
910C2×C4×D53C2411yescharacteristic
911C2×C4×D53C2411yescharacteristic
912C2×C4×D53C2412yes—
913C2×C4×D53C2411yescharacteristic
914C2×C4×D53C2412yes—
915C2×C4×D53C2411yescharacteristic
916C2×C4×D53C2411yescharacteristic
917C2×C4×D53C2412yes—
918C2×C4×D53C2412yes—
919C2×C4×D53C2412yes—
920C2×C4×D53C2412yes—
921C2×C4×D53C2412yes—
922C2×C4×D53C2412yes—
923C2×C4×D53C2411yescharacteristic
924C2×C4×D53C2411yescharacteristic
925C2×C4×D53C2412yes—
926C2×C4×D53C2411yescharacteristic
927C2×C4×D53C2411yescharacteristic
928C2×C4×D53C2412yes—
929C2×C4×D53C2412yes—
930C2×C4×D53C2412yes—
931C2×C4×D53C2412yes—
932C2×C4×D53C2412yes—
933C2×C4×D53C2414yes—
934C2×C4×D53C2414yes—
935C2×C4×D53C2411yescharacteristic
936C2×Dic106—28no—
937C2×Dic106C2412yes—
938C2×Dic106C2414yes—
939C2×Dic106C2412yes—
940C2×Dic106C2411yescharacteristic
941C2×Dic106C2414yes—
942C2×Dic106C2412yes—
943C2×Dic106C2412yes—
944C2×Dic106C2411yescharacteristic
945C4⋊C4×C53C2411yescharacteristic
946C4⋊C4×C53C2412yes—
947C4⋊C4×C53C2412yes—
948C4⋊C4×C53C2412yes—
949C4⋊C4×C53C2412yes—
950C4⋊C4×C53C2411yescharacteristic
951C4⋊C4×C53C2412yes—
952C4⋊C4×C53C2412yes—
953C4⋊C4×C53C2414yes—
954C4⋊C4×C53C2411yescharacteristic
955C4⋊C4×C53C2411yescharacteristic
956C4⋊C4×C53C2412yes—
957C4⋊C4×C53C2414yes—
958C4⋊C4×C53C2412yes—
959C22⋊C4×C53C2412yes—
960C22⋊C4×C53C2412yes—
961C22⋊C4×C53C2414yes—
962C22⋊C4×C53C2412yes—
963C22⋊C4×C53C2412yes—
964C22⋊C4×C53C2414yes—
965C22⋊C4×C53C2414yes—
966C22⋊C4×C53C2414yes—
967C22⋊C4×C53C2414yes—
968C22⋊C4×C53C2414yes—
969C22⋊C4×C53C2414yes—
970C22⋊C4×C53C2412yes—
971C22⋊C4×C53C2412yes—
972C22⋊C4×C53C2414yes—
973C22⋊C4×C53C2412yes—
974C22⋊C4×C53C2414yes—
975C22⋊C4×C53C2412yes—
976C42×C53C2411yescharacteristic
977C42×C53C2412yes—
978C42×C53C2411yescharacteristic
979C42×C53C2411yescharacteristic
980C42×C53C2412yes—
981C42×C53C2411yescharacteristic
982C42×C53C2412yes—
983C42×C53C2414yes—
984C42×C53C2412yes—
985C22⋊Dic53C2412yes—
986C22⋊Dic53C2412yes—
987C22⋊Dic53C2414yes—
988C22⋊Dic53C2412yes—
989C22⋊Dic53C2412yes—
990C22⋊Dic53C2412yes—
991C22⋊Dic53C2412yes—
992C22⋊Dic53C2412yes—
993C22⋊Dic53C2412yes—
994C22⋊Dic53C2414yes—
995C22⋊Dic53C2414yes—
996C22⋊Dic53C2414yes—
997C22⋊Dic53C2414yes—
998C22⋊Dic53C2414yes—
999C22⋊Dic53C2414yes—
1000C22⋊Dic53C2414yes—
1001C22⋊Dic53C2414yes—
1002C22⋊Dic53C2414yes—
1003#11719921C2412yes—
1004#11719921C2412yes—
1005#11719921C2412yes—
1006#11719921C2412yes—
1007#11719921C2414yes—
1008#11719921C2412yes—
1009#11719921C2412yes—
1010#11719921C2412yes—
1011#11719921C2412yes—
1012#11719921C2412yes—
1013#11719921C2412yes—
1014#11719921C2412yes—
1015#11719921C2412yes—
1016#11719921C2412yes—
1017#11719921C2412yes—
1018#11719921C2412yes—
1019#11719921C2412yes—
1020#11719921C2414yes—
1021#11719921C2414yes—
1022#11719921C2414yes—
1023#11719921C2414yes—
1024#11719921C2414yes—
1025#11719921C2414yes—
1026#11719921C2414yes—
1027C4⋊Dic53C2411yescharacteristic
1028C4⋊Dic53C2411yescharacteristic
1029C4⋊Dic53C2411yescharacteristic
1030C4⋊Dic53C2412yes—
1031C4⋊Dic53C2412yes—
1032C4⋊Dic53C2412yes—
1033C4⋊Dic53C2412yes—
1034C4⋊Dic53C2411yescharacteristic
1035C4⋊Dic53C2412yes—
1036C4⋊Dic53C2412yes—
1037C4⋊Dic53C2412yes—
1038C4⋊Dic53C2412yes—
1039C4⋊Dic53C2412yes—
1040C4⋊Dic53C2414yes—
1041C4⋊Dic53C2414yes—
1042C4⋊Dic53C2414yes—
1043C4⋊Dic53C2414yes—
1044C4⋊Dic53C2414yes—
1045C4⋊Dic53C2412yes—
1046C4⋊Dic53C2414yes—
1047#11719919C2412yes—
1048#11719919C2412yes—
1049#11719919C2412yes—
1050#11719919C2414yes—
1051#11719919C2412yes—
1052#11719919C2414yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056#11719919C2412yes—
1057#11719919C2412yes—
1058#11719919C2412yes—
1059#11719919C2412yes—
1060#11719919C2412yes—
1061#11719919C2412yes—
1062#11719919C2412yes—
1063#11719919C2412yes—
1064#11719919C2412yes—
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—
1079C4×Dic53C2411yescharacteristic
1080C4×Dic53C2412yes—
1081C4×Dic53C2411yescharacteristic
1082C4×Dic53C2411yescharacteristic
1083C4×Dic53C2411yescharacteristic
1084C4×Dic53C2411yescharacteristic
1085C4×Dic53C2412yes—
1086C4×Dic53C2412yes—
1087C4×Dic53C2411yescharacteristic
1088C4×Dic53C2412yes—
1089C4×Dic53C2412yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2411yescharacteristic
1092C4×Dic53C2411yescharacteristic
1093C4×Dic53C2412yes—
1094C4×Dic53C2411yescharacteristic
1095C4×Dic53C2411yescharacteristic
1096C4×Dic53C2411yescharacteristic
1097C4×Dic53C2412yes—
1098C4×Dic53C2411yescharacteristic
1099C4×Dic53C2412yes—
1100C4×Dic53C2412yes—
1101C4×Dic53C2412yes—
1102C4×Dic53C2414yes—
1103C4×Dic53C2414yes—
1104C4×Dic53C2412yes—
1105C4×Dic53C2414yes—
1106C4×Dic53C2414yes—
1107C4×Dic53C2414yes—
1108C4×Dic53C2414yes—
1109C4×Dic53C2414yes—
1110C4×Dic53C2414yes—
1111C23×C53—28no—
1112C23×C53—44no—
1113C23×C53—44no—
1114C23×C53C2514yes—
1115C23×C53C2511yescharacteristic
1116C23×C53C2512yes—
1117C23×C53C2512yes—
1118C22×D53—24no—
1119C22×D53—22no—
1120C22×D53—22no—
1121C22×D53—24no—
1122C22×D53—24no—
1123C22×D53—41no—
1124C22×D53—42no—
1125C22×D53—42no—
1126C22×D53—42no—
1127C22×D53C2512yes—
1128C22×D53C2512yes—
1129C22×D53C2511yescharacteristic
1130C22×D53C2511yescharacteristic
1131Q8×C53—22no—
1132Q8×C53—22no—
1133Q8×C53—24no—
1134Q8×C53—44no—
1135D4×C53—24no—
1136D4×C53—28no—
1137D4×C53—24no—
1138D4×C53—22no—
1139D4×C53—24no—
1140D4×C53—42no—
1141D4×C53—42no—
1142D4×C53—44no—
1143D4×C53—44no—
1144D4×C53C2×#4114yes—
1145C2×C4×C53—24no—
1146C2×C4×C53—24no—
1147C2×C4×C53—22no—
1148C2×C4×C53—24no—
1149C2×C4×C53—22no—
1150C2×C4×C53—41no—
1151C2×C4×C53—42no—
1152C2×C4×C53—44no—
1153C2×C4×C53—44no—
1154C2×C4×C53—44no—
1155C2×C4×C53C2512yes—
1156C2×C4×C53C2511yescharacteristic
1157C2×C4×C53C2512yes—
1158C2×C4×C53C2512yes—
1159C2×C4×C53C2512yes—
1160C2×C4×C53C2511yescharacteristic
1161C2×C4×C53C2511yescharacteristic
1162C2×C4×C53C2512yes—
1163C2×C4×C53C2511yescharacteristic
1164C2×C4×C53C2512yes—
1165C2×C4×C53C2514yes—
1166C2×C4×C53C2511yescharacteristic
1167C2×C4×C53C2511yescharacteristic
1168C22⋊D53—24no—
1169C22⋊D53—28no—
1170C22⋊D53—28no—
1171C22⋊D53—28no—
1172C22⋊D53—24no—
1173C22⋊D53—24no—
1174C22⋊D53—28no—
1175C22⋊D53—44no—
1176C22⋊D53—42no—
1177C22⋊D53—42no—
1178C22⋊D53—44no—
1179C22⋊D53—44no—
1180C22⋊D53—44no—
1181C22⋊D53C2×#4118yes—
1182C2×Dic53—28no—
1183C2×Dic53—28no—
1184C2×Dic53—22no—
1185C2×Dic53—24no—
1186C2×Dic53—28no—
1187C2×Dic53—28no—
1188C2×Dic53—42no—
1189C2×Dic53—41no—
1190C2×Dic53—42no—
1191C2×Dic53—41no—
1192C2×Dic53—44no—
1193C2×Dic53—44no—
1194C2×Dic53—44no—
1195C2×Dic53C2×#4118yes—
1196C2×Dic53C2511yescharacteristic
1197C2×Dic53C2511yescharacteristic
1198C2×Dic53C2512yes—
1199C2×Dic53C2512yes—
1200C2×Dic53C2514yes—
1201C2×Dic53C2514yes—
1202C2×Dic53C2511yescharacteristic
1203C2×Dic53C2512yes—
1204C2×Dic53C2511yescharacteristic
1205C2×Dic53C2511yescharacteristic
1206C2×Dic53C2512yes—
1207C2×Dic53C2512yes—
1208C2×Dic53C2512yes—
1209C2×Dic53C2511yescharacteristic
1210D212—24no—
1211D212—24no—
1212D212—22no—
1213D212—22no—
1214D212—44no—
1215C4×D53—22no—
1216C4×D53—24no—
1217C4×D53—22no—
1218C4×D53—24no—
1219C4×D53—22no—
1220C4×D53—22no—
1221C4×D53—24no—
1222C4×D53—22no—
1223C4×D53—22no—
1224C4×D53—24no—
1225C4×D53—22no—
1226C4×D53—24no—
1227C4×D53—24no—
1228C4×D53—24no—
1229C4×D53—24no—
1230C4×D53—42no—
1231C4×D53—41no—
1232C4×D53—41no—
1233C4×D53—42no—
1234C4×D53—41no—
1235C4×D53—42no—
1236C4×D53—42no—
1237C4×D53—41no—
1238C4×D53—44no—
1239C4×D53—42no—
1240C4×D53—42no—
1241C4×D53—44no—
1242C4×D53C2×#4114yes—
1243Dic106—24no—
1244Dic106—22no—
1245Dic106—28no—
1246Dic106—24no—
1247Dic106—44no—
1248Dic106—42no—
1249Dic106—42no—
1250Dic106C2×#4114yes—
1251#62816—531nomaximal, Sylow
1252C22×C53—22no—
1253C22×C53—22no—
1254C22×C53—22no—
1255C22×C53—24no—
1256C22×C53—21no—
1257C22×C53—24no—
1258C22×C53—21no—
1259C22×C53—24no—
1260C22×C53—21no—
1261C22×C53—22no—
1262C22×C53—22no—
1263C22×C53—88no—
1264C22×C53C22×#4114yes—
1265C22×C53C2611yescharacteristic
1266C2×D53—21no—
1267C2×D53—21no—
1268C2×D53—21no—
1269C2×D53—21no—
1270C2×D53—22no—
1271C2×D53—22no—
1272C2×D53—22no—
1273C2×D53—22no—
1274C2×D53—22no—
1275C2×D53—22no—
1276C2×D53—44no—
1277C2×D53—48no—
1278C2×D53—84no—
1279C2×D53C22×#4112yes—
1280C2×D53#58512yes—
1281C4×C53—22no—
1282C4×C53—22no—
1283C4×C53—21no—
1284C4×C53—21no—
1285C4×C53—22no—
1286C4×C53—22no—
1287C4×C53—21no—
1288C4×C53—22no—
1289C4×C53—21no—
1290C4×C53—22no—
1291C4×C53—24no—
1292C4×C53C22×#4112yes—
1293C4×C53#58512yes—
1294Dic53—21no—
1295Dic53—24no—
1296Dic53—22no—
1297Dic53—22no—
1298Dic53—22no—
1299Dic53—21no—
1300Dic53—24no—
1301Dic53—21no—
1302Dic53—21no—
1303Dic53—22no—
1304Dic53—21no—
1305Dic53—22no—
1306Dic53C22×#4114yes—
1307Dic53C22×#4112yes—
1308#3524—532no—
1309#3523—531no—
1310#3522—531no—
1311#3521—534no—
1312#3521—532no—
1313#3520—531no—
1314#3520—532no—
1315#3519—532no—
1316#3519—531no—
1317#3518—531no—
1318#3517—531no—
1319#3516—532no—
1320#3515—532no—
1321#3515—531no—
1322#3514—532no—
1323#3514D5311yescharacteristic, complemented
1324#3513—534no—
1325#3513—532no—
1326#3480—531no—
1327#3480—532no—
1328Q8×#41—531no—
1329#3475—531no—
1330#3475—532no—
1331#3475—534no—
1332#3475—532no—
1333D4×#41—532no—
1334D4×#41—531no—
1335#3455—532no—
1336#3455—534no—
1337#3444—531no—
1338#3444—532no—
1339C2×#529—531no—
1340C2×#529—532no—
1341#3428—532no—
1342C2×C4×#41—531no—
1343C2×C53—24no—
1344C2×C53—41no—
1345C2×C53—42no—
1346C2×C53—44no—
1347C2×C53C23×#4111yescharacteristic
1348C2×C53C2×#58511yescharacteristic
1349C2×C53C2×#58511yescharacteristic
1350D53—22no—
1351D53—22no—
1352D53—42no—
1353D53—42no—
1354C22×#41—531no—
1355C22×#41—532no—
1356#559—534no—
1357#559—532no—
1358#559—532no—
1359#559C2×D5311yescharacteristic, complemented
1360Q82—531no—
1361#557—532no—
1362#557—531no—
1363#557—532no—
1364#557—531no—
1365#556—534no—
1366#556—532no—
1367#556—532no—
1368#556—534no—
1369#556—532no—
1370#556—531no—
1371#556—532no—
1372#556C2×D5311yescharacteristic, complemented
1373#555—534no—
1374#555—532no—
1375#555—531no—
1376#555C2×D5312yescomplemented
1377#554—532no—
1378#554—534no—
1379#554—534no—
1380#554—532no—
1381#554—531no—
1382#554—532no—
1383#554—531no—
1384#554—532no—
1385#553—534no—
1386#553—534no—
1387#553—534no—
1388#553—532no—
1389#553—532no—
1390#553—534no—
1391#553—532no—
1392#553—534no—
1393#553—532no—
1394#553—534no—
1395#553—532no—
1396#553—532no—
1397#552—534no—
1398#552—534no—
1399#552—534no—
1400#552—532no—
1401#552—532no—
1402#552—532no—
1403#552—532no—
1404#552—534no—
1405#552—534no—
1406#552—532no—
1407#552—534no—
1408#552—532no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#551—534no—
1414#551—534no—
1415#551—534no—
1416#551—534no—
1417#551C2×D5314yescomplemented
1418#550—532no—
1419#550—531no—
1420#550—531no—
1421#550—532no—
1422D4×Q8—532no—
1423D4×Q8—532no—
1424D4×Q8—531no—
1425D4×Q8C2×D5311yescharacteristic, complemented
1426#548—532no—
1427#548—532no—
1428#548—532no—
1429#548—532no—
1430#548—532no—
1431#548C2×D5312yescomplemented
1432#547—532no—
1433#547—532no—
1434#547—531no—
1435#547—534no—
1436#547—534no—
1437#547—532no—
1438#547—531no—
1439#547—532no—
1440#546—532no—
1441#546—532no—
1442#546—532no—
1443#546—534no—
1444#546—534no—
1445#546—534no—
1446#546—534no—
1447#546—532no—
1448#546—534no—
1449#546—534no—
1450#546C2×D5312yescomplemented
1451#546C2×D5312yescomplemented
1452D42—532no—
1453D42—532no—
1454D42—534no—
1455D42C2×D5311yescharacteristic, complemented
1456#542—532no—
1457#542—534no—
1458#542—534no—
1459#542—532no—
1460#542—534no—
1461#542—534no—
1462#542—532no—
1463#542C2×D5312yescomplemented
1464#541—534no—
1465#541—534no—
1466#541—532no—
1467#541—532no—
1468#540—534no—
1469#540—534no—
1470#540—532no—
1471#540—532no—
1472#539—534no—
1473#539—534no—
1474#539—534no—
1475#539—534no—
1476#539—534no—
1477#539—534no—
1478#538—534no—
1479#538—534no—
1480#538—534no—
1481#538—534no—
1482#538—534no—
1483#538C2×D5314yescomplemented
1484#533—531no—
1485#533—531no—
1486#533—532no—
1487#533—532no—
1488#533—532no—
1489#533—534no—
1490#533—532no—
1491#533—531no—
1492#532—531no—
1493#532—531no—
1494#532—532no—
1495#532—532no—
1496#532—532no—
1497#532—534no—
1498#532—532no—
1499#532C2×D5311yescharacteristic, complemented
1500#529—532no—
1501#529—534no—
1502#529—534no—
1503#529—534no—
1504#529—531no—
1505#529—531no—
1506#529—532no—
1507#529—534no—
1508#529—532no—
1509#529—534no—
1510#529—532no—
1511#529—532no—
1512#529—534no—
1513#529—532no—
1514#529—532no—
1515#529—532no—
1516#529—534no—
1517#529—532no—
1518#529—534no—
1519#529—532no—
1520#529—534no—
1521#529—534no—
1522#529—534no—
1523#529—531no—
1524#529—534no—
1525#529—531no—
1526#529—532no—
1527#529—532no—
1528#529—534no—
1529#529—531no—
1530#529—532no—
1531#529—531no—
1532#529—532no—
1533#529—532no—
1534#529—532no—
1535#529—534no—
1536#529—531no—
1537#529—532no—
1538#529C2×D5311yescharacteristic, complemented
1539#529C2×D5312yescomplemented
1540C2×#126—532no—
1541C2×#126—534no—
1542C2×#125—531no—
1543C2×#125—532no—
1544C2×#124—531no—
1545C2×#124C2×D5312yescomplemented
1546#525—532no—
1547#525—534no—
1548#525—532no—
1549#525—532no—
1550#525—532no—
1551#525—532no—
1552#525—532no—
1553#525—532no—
1554#525—534no—
1555#525—534no—
1556#525—534no—
1557C2×#123—532no—
1558C2×#123—534no—
1559C2×C22⋊Q8—532no—
1560C2×C22⋊Q8—531no—
1561C2×#121—532no—
1562C2×#121—531no—
1563#520—532no—
1564#520—534no—
1565#520—532no—
1566#520—532no—
1567#520—534no—
1568#520—532no—
1569#519—532no—
1570#519—532no—
1571#518—532no—
1572#518—534no—
1573#518—534no—
1574#518C2×D5312yescomplemented
1575C4×#41—531no—
1576C4×#41—532no—
1577C4×#41—531no—
1578C4×#41—531no—
1579C4×#41—532no—
1580C4×#41—531no—
1581C4×#41—531no—
1582C4×#41—532no—
1583C4×#41—532no—
1584C4×#41—532no—
1585C4×#41—534no—
1586C4×#41—532no—
1587C4×#41—534no—
1588C4×#41—532no—
1589C4×#41—532no—
1590C4×#41—532no—
1591C4×#41—532no—
1592C4×#41—531no—
1593C4×#41—534no—
1594C4×#41—532no—
1595C4×#41—531no—
1596C4×#41C2×D5311yescharacteristic, complemented
1597C2×C4×Q8—532no—
1598C2×C4×Q8—531no—
1599C2×C4×Q8—531no—
1600C2×C4×Q8—531no—
1601C2×C4×D4—532no—
1602C2×C4×D4—531no—
1603C2×C4×D4—532no—
1604C2×C4×D4—531no—
1605C2×C4×D4—532no—
1606C2×C4×D4—532no—
1607C2×C4×D4—531no—
1608C2×C4×D4—534no—
1609C2×#117—532no—
1610C2×#117—531no—
1611C2×#117—532no—
1612C2×#117—532no—
1613C2×#117—534no—
1614C2×#117—534no—
1615C22×C42—532no—
1616C22×C42—531no—
1617C53#6281611yescharacteristic, complemented, Sylow
1618C2×#41—531no—
1619C2×#41—532no—
1620C2×#41—531no—
1621C2×#41—534no—
1622C2×#41—532no—
1623C2×#41—532no—
1624C2×#41—532no—
1625C2×#41—534no—
1626C2×#41—532no—
1627C2×#41—532no—
1628C2×#41—532no—
1629C2×#41—532no—
1630C2×#41—531no—
1631C2×#41—534no—
1632C2×#41—10616no—
1633C2×#41—1068no—
1634C2×#41C22×D5311yescharacteristic
1635C2×#41C22×D5312yes—
1636C22×Q8—531no—
1637C22×Q8—531no—
1638C22×Q8—532no—
1639C22×Q8C22×D5312yes—
1640C22×D4—534no—
1641C22×D4—534no—
1642C22×D4—532no—
1643C22×D4—531no—
1644C22×D4—532no—
1645C22×D4—531no—
1646C22×D4C22×D5312yes—
1647C22×D4C22×D5312yes—
1648C23×C4—534no—
1649C23×C4—532no—
1650C23×C4—532no—
1651C23×C4—531no—
1652C23×C4—532no—
1653C23×C4—531no—
1654C23×C4—532no—
1655C23×C4—531no—
1656C4⋊Q8—532no—
1657C4⋊Q8—532no—
1658C4⋊Q8—534no—
1659C4⋊Q8—532no—
1660C4⋊Q8—532no—
1661C4⋊Q8—534no—
1662C4⋊Q8—534no—
1663C4⋊Q8—531no—
1664C4⋊Q8—531no—
1665C4⋊Q8—532no—
1666C4⋊Q8C22×D5311yescharacteristic
1667C4⋊Q8C22×D5312yes—
1668#127—532no—
1669#127—534no—
1670#127—532no—
1671#127C22×D5311yescharacteristic
1672#126—532no—
1673#126—532no—
1674#126—532no—
1675#126—534no—
1676#126—534no—
1677#126—534no—
1678#126—534no—
1679#126—532no—
1680#126—534no—
1681#126—532no—
1682#126—534no—
1683#126—534no—
1684#126—534no—
1685#126—532no—
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—532no—
1697#126—534no—
1698#126—534no—
1699#126C22×D5312yes—
1700#126C22×D5314yes—
1701#126C22×D5314yes—
1702#125—532no—
1703#125—532no—
1704#125—531no—
1705#125—531no—
1706#125—534no—
1707#125—532no—
1708#125—534no—
1709#125—532no—
1710#125—534no—
1711#125—534no—
1712#125—534no—
1713#125—534no—
1714#125—534no—
1715#125—534no—
1716#125—534no—
1717#125—532no—
1718#125—532no—
1719#125—531no—
1720#125—532no—
1721#125—534no—
1722#125—534no—
1723#125—532no—
1724#125—532no—
1725#125—534no—
1726#125C22×D5311yescharacteristic
1727#124—531no—
1728#124—534no—
1729#124—531no—
1730#124—532no—
1731#124—532no—
1732#124—534no—
1733#124—532no—
1734#124—532no—
1735#124—534no—
1736#124—534no—
1737#124—534no—
1738#124—534no—
1739#124—534no—
1740#124—534no—
1741#124—534no—
1742#124—531no—
1743#124—532no—
1744#124C22×D5311yescharacteristic
1745#124C22×D5312yes—
1746#124C22×D5314yes—
1747#124C22×D5312yes—
1748#124C22×D5312yes—
1749#124C22×D5314yes—
1750#124C22×D5314yes—
1751#124C22×D5312yes—
1752#123—532no—
1753#123—534no—
1754#123—534no—
1755#123—534no—
1756#123—534no—
1757#123—534no—
1758#123—532no—
1759#123—534no—
1760#123—534no—
1761#123—534no—
1762#123—532no—
1763#123—532no—
1764#123—534no—
1765#123—534no—
1766#123—534no—
1767#123—532no—
1768#123—534no—
1769#123—534no—
1770#123—534no—
1771#123—532no—
1772#123—534no—
1773#123—534no—
1774#123—534no—
1775#123—534no—
1776#123—532no—
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—
1791C22⋊Q8—531no—
1792C22⋊Q8—532no—
1793C22⋊Q8—534no—
1794C22⋊Q8—532no—
1795C22⋊Q8—532no—
1796C22⋊Q8—534no—
1797C22⋊Q8—532no—
1798C22⋊Q8—532no—
1799C22⋊Q8—534no—
1800C22⋊Q8—534no—
1801C22⋊Q8—531no—
1802C22⋊Q8—532no—
1803C22⋊Q8—532no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—534no—
1807C22⋊Q8—534no—
1808C22⋊Q8—531no—
1809C22⋊Q8—532no—
1810C22⋊Q8—534no—
1811C22⋊Q8—534no—
1812C22⋊Q8—532no—
1813C22⋊Q8—534no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—532no—
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—534no—
1828C22⋊Q8C22×D5311yescharacteristic
1829C22⋊Q8C22×D5312yes—
1830C22⋊Q8C22×D5312yes—
1831C22⋊Q8C22×D5314yes—
1832C22⋊Q8C22×D5314yes—
1833#121—531no—
1834#121—532no—
1835#121—534no—
1836#121—532no—
1837#121—534no—
1838#121—532no—
1839#121—532no—
1840#121—532no—
1841#121—532no—
1842#121—532no—
1843#121—534no—
1844#121—534no—
1845#121—534no—
1846#121—532no—
1847#121—534no—
1848#121—534no—
1849#121—534no—
1850#121—534no—
1851#121—534no—
1852#121—534no—
1853#121—534no—
1854#121—531no—
1855#121—532no—
1856#121—532no—
1857#121—534no—
1858#121—534no—
1859#121—531no—
1860#121—532no—
1861#121—532no—
1862#121—534no—
1863#121—534no—
1864#121—534no—
1865#121—534no—
1866#121—534no—
1867#121—534no—
1868#121C22×D5311yescharacteristic
1869#121C22×D5312yes—
1870#121C22×D5312yes—
1871#121C22×D5312yes—
1872#121C22×D5312yes—
1873#121C22×D5314yes—
1874#121C22×D5314yes—
1875#120—534no—
1876#120—534no—
1877#120—534no—
1878#120—534no—
1879#120—534no—
1880#120—534no—
1881#120—534no—
1882#120C22×D5314yes—
1883#120C22×D5314yes—
1884C4×Q8—531no—
1885C4×Q8—532no—
1886C4×Q8—531no—
1887C4×Q8—531no—
1888C4×Q8—534no—
1889C4×Q8—532no—
1890C4×Q8—532no—
1891C4×Q8—534no—
1892C4×Q8—532no—
1893C4×Q8—531no—
1894C4×Q8—531no—
1895C4×Q8—532no—
1896C4×Q8—531no—
1897C4×Q8—532no—
1898C4×Q8—532no—
1899C4×Q8—534no—
1900C4×Q8—532no—
1901C4×Q8—532no—
1902C4×Q8—532no—
1903C4×Q8—534no—
1904C4×Q8—532no—
1905C4×Q8—534no—
1906C4×Q8—534no—
1907C4×Q8—531no—
1908C4×Q8—532no—
1909C4×Q8—531no—
1910C4×Q8—532no—
1911C4×Q8—531no—
1912C4×Q8—532no—
1913C4×Q8—534no—
1914C4×Q8—532no—
1915C4×Q8—532no—
1916C4×Q8—534no—
1917C4×Q8—532no—
1918C4×Q8—532no—
1919C4×Q8—532no—
1920C4×Q8C22×D5311yescharacteristic
1921C4×Q8C22×D5311yescharacteristic
1922C4×Q8C22×D5311yescharacteristic
1923C4×Q8C22×D5312yes—
1924C4×D4—531no—
1925C4×D4—531no—
1926C4×D4—532no—
1927C4×D4—532no—
1928C4×D4—531no—
1929C4×D4—532no—
1930C4×D4—534no—
1931C4×D4—532no—
1932C4×D4—532no—
1933C4×D4—534no—
1934C4×D4—532no—
1935C4×D4—534no—
1936C4×D4—532no—
1937C4×D4—532no—
1938C4×D4—534no—
1939C4×D4—532no—
1940C4×D4—534no—
1941C4×D4—532no—
1942C4×D4—534no—
1943C4×D4—532no—
1944C4×D4—532no—
1945C4×D4—532no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—534no—
1954C4×D4—534no—
1955C4×D4—534no—
1956C4×D4—534no—
1957C4×D4—534no—
1958C4×D4—534no—
1959C4×D4—534no—
1960C4×D4—534no—
1961C4×D4—534no—
1962C4×D4—532no—
1963C4×D4—531no—
1964C4×D4—532no—
1965C4×D4—531no—
1966C4×D4—532no—
1967C4×D4—531no—
1968C4×D4—534no—
1969C4×D4—534no—
1970C4×D4—532no—
1971C4×D4—532no—
1972C4×D4—534no—
1973C4×D4—532no—
1974C4×D4—532no—
1975C4×D4—532no—
1976C4×D4—532no—
1977C4×D4—532no—
1978C4×D4—532no—
1979C4×D4—534no—
1980C4×D4—532no—
1981C4×D4—534no—
1982C4×D4—534no—
1983C4×D4—534no—
1984C4×D4—534no—
1985C4×D4—534no—
1986C4×D4—534no—
1987C4×D4—534no—
1988C4×D4—534no—
1989C4×D4—534no—
1990C4×D4—534no—
1991C4×D4—534no—
1992C4×D4—534no—
1993C4×D4—534no—
1994C4×D4—534no—
1995C4×D4—534no—
1996C4×D4—534no—
1997C4×D4—532no—
1998C4×D4—531no—
1999C4×D4—532no—
2000C4×D4—531no—
2001C4×D4—532no—
2002C4×D4—531no—
2003C4×D4—534no—
2004C4×D4—532no—
2005C4×D4C22×D5311yescharacteristic
2006C4×D4C22×D5312yes—
2007C4×D4C22×D5311yescharacteristic
2008C4×D4C22×D5312yes—
2009C4×D4C22×D5311yescharacteristic
2010C4×D4C22×D5312yes—
2011C4×D4C22×D5314yes—
2012C4×D4C22×D5312yes—
2013C4×D4C22×D5312yes—
2014C4×D4C22×D5312yes—
2015C4×D4C22×D5314yes—
2016C4×D4C22×D5312yes—
2017C4×D4C22×D5312yes—
2018#117—532no—
2019#117—531no—
2020#117—532no—
2021#117—532no—
2022#117—532no—
2023#117—534no—
2024#117—531no—
2025#117—531no—
2026#117—532no—
2027#117—532no—
2028#117—532no—
2029#117—532no—
2030#117—532no—
2031#117—532no—
2032#117—532no—
2033#117—532no—
2034#117—534no—
2035#117—532no—
2036#117—532no—
2037#117—534no—
2038#117—532no—
2039#117—532no—
2040#117—534no—
2041#117—534no—
2042#117—532no—
2043#117—534no—
2044#117—534no—
2045#117—534no—
2046#117—534no—
2047#117—534no—
2048#117—534no—
2049#117—534no—
2050#117—534no—
2051#117—534no—
2052#117—534no—
2053#117—534no—
2054#117—532no—
2055#117—532no—
2056#117—532no—
2057#117—532no—
2058#117—532no—
2059#117—534no—
2060#117—534no—
2061#117—534no—
2062#117C22×D5312yes—
2063#117C22×D5311yescharacteristic
2064#117C22×D5312yes—
2065#117C22×D5312yes—
2066#117C22×D5314yes—
2067C2×C4⋊C4—534no—
2068C2×C4⋊C4—534no—
2069C2×C4⋊C4—534no—
2070C2×C4⋊C4—534no—
2071C2×C4⋊C4—532no—
2072C2×C4⋊C4—534no—
2073C2×C4⋊C4—532no—
2074C2×C4⋊C4—534no—
2075C2×C4⋊C4—532no—
2076C2×C4⋊C4—531no—
2077C2×C4⋊C4—532no—
2078C2×C4⋊C4—531no—
2079C2×C4⋊C4—532no—
2080C2×C4⋊C4—532no—
2081C2×C4⋊C4—532no—
2082C2×C4⋊C4—532no—
2083C2×C4⋊C4—531no—
2084C2×C4⋊C4—532no—
2085C2×C4⋊C4—531no—
2086C2×C4⋊C4—532no—
2087C2×C22⋊C4—534no—
2088C2×C22⋊C4—534no—
2089C2×C22⋊C4—534no—
2090C2×C22⋊C4—534no—
2091C2×C22⋊C4—532no—
2092C2×C22⋊C4—532no—
2093C2×C22⋊C4—532no—
2094C2×C22⋊C4—532no—
2095C2×C22⋊C4—532no—
2096C2×C22⋊C4—534no—
2097C2×C22⋊C4—532no—
2098C2×C22⋊C4—532no—
2099C2×C22⋊C4—532no—
2100C2×C22⋊C4C22×D5314yes—
2101C2×C22⋊C4C22×D5314yes—
2102C2×C22⋊C4C22×D5314yes—
2103C2×C42—532no—
2104C2×C42—534no—
2105C2×C42—534no—
2106C2×C42—534no—
2107C2×C42—532no—
2108C2×C42—531no—
2109C2×C42—532no—
2110C2×C42—531no—
2111C2×C42—531no—
2112C2×C42—531no—
2113C2×C42—531no—
2114C2×C42—532no—
2115C2×C42—532no—
2116C2×C42—534no—
2117C2×C42—531no—
2118C2×C42—532no—
2119C2×C42—531no—
2120C2×C42—531no—
2121C2×C42—532no—
2122C2×C42—532no—
2123C2×C42—531no—
2124C2×C42—531no—
2125C2×C42—532no—
2126C2×C42—532no—
2127C2×C42—532no—
2128C2×C42—531no—
2129C2×C42C22×D5312yes—
2130C2×C42C22×D5311yescharacteristic
2131C24—531no—
2132C24—532no—
2133C24—532no—
2134C24C23×D5314yes—
2135#41—24no—
2136#41—44no—
2137#41—538no—
2138#41—1068no—
2139#41—1064no—
2140#41—10616no—
2141#41—1068no—
2142#41—1068no—
2143#41—1064no—
2144#41—10616no—
2145#41—1068no—
2146#41—1068no—
2147#41—2128no—
2148#41—2124no—
2149#41—2124no—
2150#41—2124no—
2151C2×Q8—44no—
2152C2×Q8—531no—
2153C2×Q8—534no—
2154C2×Q8—532no—
2155C2×Q8—532no—
2156C2×Q8—531no—
2157C2×Q8—532no—
2158C2×Q8—534no—
2159C2×Q8—532no—
2160C2×Q8—1068no—
2161C2×Q8—1064no—
2162C2×Q8—2122no—
2163C2×Q8C23×D5311yescharacteristic
2164C2×Q8C23×D5312yes—
2165C2×Q8C23×D5311yescharacteristic
2166C2×Q8C23×D5314yes—
2167C2×D4—28no—
2168C2×D4—44no—
2169C2×D4—532no—
2170C2×D4—534no—
2171C2×D4—534no—
2172C2×D4—532no—
2173C2×D4—534no—
2174C2×D4—532no—
2175C2×D4—532no—
2176C2×D4—534no—
2177C2×D4—534no—
2178C2×D4—532no—
2179C2×D4—534no—
2180C2×D4—534no—
2181C2×D4—532no—
2182C2×D4—534no—
2183C2×D4—532no—
2184C2×D4—532no—
2185C2×D4—531no—
2186C2×D4—531no—
2187C2×D4—534no—
2188C2×D4—1068no—
2189C2×D4—10616no—
2190C2×D4—1064no—
2191C2×D4—2122no—
2192C2×D4—2124no—
2193C2×D4—2128no—
2194C2×D4C23×D5311yescharacteristic
2195C2×D4C23×D5312yes—
2196C2×D4C23×D5314yes—
2197C2×D4C23×D5312yes—
2198C2×D4C23×D5312yes—
2199C2×D4C23×D5314yes—
2200C2×D4C23×D5314yes—
2201C2×D4C23×D5312yes—
2202C2×D4C23×D5312yes—
2203C2×D4C23×D5311yescharacteristic
2204C22×C4—532no—
2205C22×C4—531no—
2206C22×C4—531no—
2207C22×C4—534no—
2208C22×C4—534no—
2209C22×C4—534no—
2210C22×C4—532no—
2211C22×C4—534no—
2212C22×C4—532no—
2213C22×C4—532no—
2214C22×C4—531no—
2215C22×C4—531no—
2216C22×C4—534no—
2217C22×C4—534no—
2218C22×C4—534no—
2219C22×C4—531no—
2220C22×C4—531no—
2221C22×C4—531no—
2222C22×C4—531no—
2223C22×C4—531no—
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—531no—
2235C22×C4—531no—
2236C22×C4—532no—
2237C22×C4—531no—
2238C22×C4—531no—
2239C22×C4—532no—
2240C22×C4—532no—
2241C22×C4—532no—
2242C22×C4—532no—
2243C22×C4—532no—
2244C22×C4—534no—
2245C22×C4—534no—
2246C22×C4—1068no—
2247C22×C4—1068no—
2248C22×C4—1064no—
2249C22×C4—10616no—
2250C22×C4—2124no—
2251C22×C4—2122no—
2252C22×C4—2124no—
2253C22×C4—2122no—
2254C22×C4C23×D5312yes—
2255C22×C4C23×D5312yes—
2256C22×C4C23×D5311yescharacteristic
2257C22×C4C23×D5311yescharacteristic
2258C22×C4C23×D5312yes—
2259C22×C4C23×D5312yes—
2260C22×C4C23×D5311yescharacteristic
2261C22×C4C23×D5314yes—
2262C22×C4C23×D5314yes—
2263C22×C4C23×D5314yes—
2264C4⋊C4—532no—
2265C4⋊C4—532no—
2266C4⋊C4—531no—
2267C4⋊C4—532no—
2268C4⋊C4—534no—
2269C4⋊C4—532no—
2270C4⋊C4—532no—
2271C4⋊C4—534no—
2272C4⋊C4—532no—
2273C4⋊C4—531no—
2274C4⋊C4—532no—
2275C4⋊C4—531no—
2276C4⋊C4—532no—
2277C4⋊C4—534no—
2278C4⋊C4—534no—
2279C4⋊C4—532no—
2280C4⋊C4—532no—
2281C4⋊C4—531no—
2282C4⋊C4—532no—
2283C4⋊C4—532no—
2284C4⋊C4—532no—
2285C4⋊C4—534no—
2286C4⋊C4—534no—
2287C4⋊C4—532no—
2288C4⋊C4—532no—
2289C4⋊C4—534no—
2290C4⋊C4—534no—
2291C4⋊C4—532no—
2292C4⋊C4—534no—
2293C4⋊C4—532no—
2294C4⋊C4—532no—
2295C4⋊C4—532no—
2296C4⋊C4—534no—
2297C4⋊C4—532no—
2298C4⋊C4—532no—
2299C4⋊C4—534no—
2300C4⋊C4—532no—
2301C4⋊C4—534no—
2302C4⋊C4—532no—
2303C4⋊C4—534no—
2304C4⋊C4—532no—
2305C4⋊C4—532no—
2306C4⋊C4—534no—
2307C4⋊C4—534no—
2308C4⋊C4—534no—
2309C4⋊C4—534no—
2310C4⋊C4—534no—
2311C4⋊C4—534no—
2312C4⋊C4—534no—
2313C4⋊C4—534no—
2314C4⋊C4—534no—
2315C4⋊C4—532no—
2316C4⋊C4C23×D5311yescharacteristic
2317C4⋊C4C23×D5311yescharacteristic
2318C4⋊C4C23×D5311yescharacteristic
2319C4⋊C4C23×D5311yescharacteristic
2320C4⋊C4C23×D5312yes—
2321C4⋊C4C23×D5312yes—
2322C4⋊C4C23×D5312yes—
2323C4⋊C4C23×D5312yes—
2324C4⋊C4C23×D5312yes—
2325C4⋊C4C23×D5312yes—
2326C4⋊C4C23×D5312yes—
2327C4⋊C4C23×D5314yes—
2328C4⋊C4C23×D5312yes—
2329C4⋊C4C23×D5314yes—
2330C22⋊C4—532no—
2331C22⋊C4—532no—
2332C22⋊C4—534no—
2333C22⋊C4—532no—
2334C22⋊C4—532no—
2335C22⋊C4—534no—
2336C22⋊C4—532no—
2337C22⋊C4—534no—
2338C22⋊C4—532no—
2339C22⋊C4—534no—
2340C22⋊C4—534no—
2341C22⋊C4—534no—
2342C22⋊C4—532no—
2343C22⋊C4—532no—
2344C22⋊C4—534no—
2345C22⋊C4—534no—
2346C22⋊C4—534no—
2347C22⋊C4—534no—
2348C22⋊C4—532no—
2349C22⋊C4—532no—
2350C22⋊C4—534no—
2351C22⋊C4—534no—
2352C22⋊C4—532no—
2353C22⋊C4—532no—
2354C22⋊C4—532no—
2355C22⋊C4—532no—
2356C22⋊C4—532no—
2357C22⋊C4—532no—
2358C22⋊C4—532no—
2359C22⋊C4—532no—
2360C22⋊C4—532no—
2361C22⋊C4—532no—
2362C22⋊C4—532no—
2363C22⋊C4—532no—
2364C22⋊C4—534no—
2365C22⋊C4—532no—
2366C22⋊C4—534no—
2367C22⋊C4—532no—
2368C22⋊C4—534no—
2369C22⋊C4—534no—
2370C22⋊C4—534no—
2371C22⋊C4—534no—
2372C22⋊C4C23×D5312yes—
2373C22⋊C4C23×D5314yes—
2374C22⋊C4C23×D5312yes—
2375C22⋊C4C23×D5312yes—
2376C22⋊C4C23×D5312yes—
2377C22⋊C4C23×D5312yes—
2378C22⋊C4C23×D5312yes—
2379C22⋊C4C23×D5312yes—
2380C22⋊C4C23×D5312yes—
2381C22⋊C4C23×D5314yes—
2382C22⋊C4C23×D5314yes—
2383C22⋊C4C23×D5314yes—
2384C22⋊C4C23×D5314yes—
2385C22⋊C4C23×D5314yes—
2386C22⋊C4C23×D5314yes—
2387C22⋊C4C23×D5314yes—
2388C22⋊C4C23×D5314yes—
2389C42—531no—
2390C42—531no—
2391C42—532no—
2392C42—531no—
2393C42—531no—
2394C42—531no—
2395C42—534no—
2396C42—532no—
2397C42—532no—
2398C42—531no—
2399C42—532no—
2400C42—532no—
2401C42—532no—
2402C42—531no—
2403C42—532no—
2404C42—531no—
2405C42—532no—
2406C42—532no—
2407C42—531no—
2408C42—531no—
2409C42—532no—
2410C42—531no—
2411C42—532no—
2412C42—531no—
2413C42—534no—
2414C42—534no—
2415C42—534no—
2416C42—534no—
2417C42—534no—
2418C42—534no—
2419C42—534no—
2420C42—532no—
2421C42C23×D5311yescharacteristic
2422C42C23×D5312yes—
2423C42C23×D5311yescharacteristic
2424C42C23×D5311yescharacteristic
2425C42C23×D5312yes—
2426C42C23×D5311yescharacteristic
2427C42C23×D5312yes—
2428C42C23×D5314yes—
2429C42C23×D5312yes—
2430C23—28no—
2431C23—44no—
2432C23—44no—
2433C23—531no—
2434C23—531no—
2435C23—532no—
2436C23—532no—
2437C23—1064no—
2438C23—1062no—
2439C23—1064no—
2440C23—1062no—
2441C23—1064no—
2442C23—2122no—
2443C23—2122no—
2444C23—2122no—
2445C23—2121no—
2446C23C24×D5312yes—
2447C23C24×D5311yescharacteristic
2448C23C24×D5314yes—
2449C23C24×D5312yes—
2450Q8—22no—
2451Q8—22no—
2452Q8—24no—
2453Q8—44no—
2454Q8—534no—
2455Q8—1068no—
2456Q8—1064no—
2457Q8—1064no—
2458Q8—1062no—
2459Q8—2122no—
2460Q8—2124no—
2461Q8—2122no—
2462D4—28no—
2463D4—24no—
2464D4—24no—
2465D4—22no—
2466D4—24no—
2467D4—44no—
2468D4—42no—
2469D4—44no—
2470D4—42no—
2471D4—538no—
2472D4—1064no—
2473D4—1064no—
2474D4—1064no—
2475D4—1068no—
2476D4—1068no—
2477D4—1064no—
2478D4—1068no—
2479D4—1064no—
2480D4—1068no—
2481D4—1062no—
2482D4—1062no—
2483D4—2124no—
2484D4—2122no—
2485D4—2124no—
2486D4—2124no—
2487D4—2122no—
2488D4—2124no—
2489D4—2124no—
2490D4#41×D5314yes—
2491C2×C4—24no—
2492C2×C4—24no—
2493C2×C4—22no—
2494C2×C4—24no—
2495C2×C4—22no—
2496C2×C4—42no—
2497C2×C4—41no—
2498C2×C4—44no—
2499C2×C4—44no—
2500C2×C4—44no—
2501C2×C4—538no—
2502C2×C4—531no—
2503C2×C4—532no—
2504C2×C4—534no—
2505C2×C4—531no—
2506C2×C4—531no—
2507C2×C4—531no—
2508C2×C4—532no—
2509C2×C4—531no—
2510C2×C4—534no—
2511C2×C4—532no—
2512C2×C4—534no—
2513C2×C4—531no—
2514C2×C4—532no—
2515C2×C4—532no—
2516C2×C4—532no—
2517C2×C4—1062no—
2518C2×C4—1064no—
2519C2×C4—1064no—
2520C2×C4—1064no—
2521C2×C4—1064no—
2522C2×C4—1062no—
2523C2×C4—1064no—
2524C2×C4—1062no—
2525C2×C4—1064no—
2526C2×C4—1062no—
2527C2×C4—1064no—
2528C2×C4—1068no—
2529C2×C4—1062no—
2530C2×C4—1068no—
2531C2×C4—1068no—
2532C2×C4—1068no—
2533C2×C4—1062no—
2534C2×C4—1064no—
2535C2×C4—1062no—
2536C2×C4—1062no—
2537C2×C4—1064no—
2538C2×C4—2121no—
2539C2×C4—2122no—
2540C2×C4—2122no—
2541C2×C4—2121no—
2542C2×C4—2121no—
2543C2×C4—2121no—
2544C2×C4—2122no—
2545C2×C4—2122no—
2546C2×C4—2122no—
2547C2×C4—2122no—
2548C2×C4—2124no—
2549C2×C4—2124no—
2550C2×C4—2121no—
2551C2×C4—2122no—
2552C2×C4—2122no—
2553C2×C4—2121no—
2554C2×C4—2124no—
2555C2×C4—2124no—
2556C2×C4—2124no—
2557C2×C4C24×D5311yescharacteristic
2558C2×C4C24×D5311yescharacteristic
2559C2×C4C24×D5311yescharacteristic
2560C2×C4C24×D5312yes—
2561C2×C4C24×D5312yes—
2562C2×C4C24×D5314yes—
2563C2×C4C24×D5312yes—
2564C2×C4C24×D5312yes—
2565C2×C4C24×D5312yes—
2566C2×C4C24×D5311yescharacteristic
2567C2×C4C24×D5312yes—
2568C2×C4C24×D5311yescharacteristic
2569C2×C4C24×D5311yescharacteristic
2570C22—22no—
2571C22—22no—
2572C22—22no—
2573C22—21no—
2574C22—24no—
2575C22—21no—
2576C22—24no—
2577C22—22no—
2578C22—21no—
2579C22—24no—
2580C22—22no—
2581C22—88no—
2582C22—532no—
2583C22—532no—
2584C22—1061no—
2585C22—1061no—
2586C22—1061no—
2587C22—1061no—
2588C22—1062no—
2589C22—1062no—
2590C22—1062no—
2591C22—1062no—
2592C22—1062no—
2593C22—1062no—
2594C22—4244no—
2595C22—2128no—
2596C22—2124no—
2597C22C2×#41×D5314yes—
2598C22C25×D5311yescharacteristic
2599C4—21no—
2600C4—22no—
2601C4—22no—
2602C4—21no—
2603C4—22no—
2604C4—22no—
2605C4—21no—
2606C4—21no—
2607C4—22no—
2608C4—24no—
2609C4—22no—
2610C4—532no—
2611C4—534no—
2612C4—1062no—
2613C4—1061no—
2614C4—1064no—
2615C4—1061no—
2616C4—1061no—
2617C4—1062no—
2618C4—1062no—
2619C4—1064no—
2620C4—1061no—
2621C4—1062no—
2622C4—1061no—
2623C4—1062no—
2624C4C2×#41×D5312yes—
2625C4#1681145812yes—
2626C2—24no—
2627C2—42no—
2628C2—44no—
2629C2—41no—
2630C2—1062no—
2631C2—1062no—
2632C2—2122no—
2633C2—2122no—
2634C2C22×#41×D5311yescharacteristic
2635C2#585×D5311yescharacteristic
2636C2C2×#1681145811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3514C2
hypercenter#3514D53
hypocenterC53#62816
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #20288815C2semidirect
2. #20288810C2semidirect
3. #20288797C2semidirect
4. #20288776C2semidirect
5. #20288768C2semidirect
6. #20288765C2semidirect
7. #20288757C2semidirect
8. #20288744C2semidirect
9. #20288738C2semidirect
10. #20288730C2semidirect
11. #20288713C2semidirect
12. #20288702C2semidirect
13. #20288693C2semidirect
14. #20288681C2semidirect
15. #20288670C2semidirect
16. #20288651C2semidirect
17. #20288643C2semidirect
18. #20288311C2semidirect
19. #20288305C2semidirect
20. Q8×#11719947C2semidirect
21. #20288276C2semidirect
22. #20288272C2semidirect
23. #20288270C2semidirect
24. #20288266C2semidirect
25. #20288199C2semidirect
26. D4×#11719947C2semidirect
27. #20288102C2semidirect
28. #20288097C2semidirect
29. #20288010C2semidirect
30. #20288009C2semidirect
31. C2×#16811152C2semidirect
32. #529×D53C2semidirect
33. #20287913C2semidirect
34. C4×#41×D53C2semidirect
35. C53×#3514C2semidirect
38. #16811356C22semidirect
39. #16811355C22semidirect
40. #16811355C22semidirect
41. Q8×Dic106C22semidirect
42. #16811351C22semidirect
43. #16811349C22semidirect
44. #16811348C22semidirect
45. #16811348C22semidirect
46. #16811346C22semidirect
47. #16811344C22semidirect
48. #16811344C22semidirect
49. #16811343C22semidirect
50. #16811342C22semidirect
51. #16811342C22semidirect
52. #16811340C22semidirect
53. #16811338C22semidirect
54. #16811337C22semidirect
55. #16811335C22semidirect
56. #16811334C22semidirect
57. #16811333C22semidirect
58. #16811332C22semidirect
59. #16811331C22semidirect
60. #16811331C22semidirect
61. #16811330C22semidirect
62. #16811330C22semidirect
63. #16811327C22semidirect
64. #16811325C22semidirect
65. #16811325C22semidirect
66. #16811323C22semidirect
67. #16811322C22semidirect
68. #16811320C22semidirect
69. #16811320C22semidirect
70. #16811319C22semidirect
71. #16811319C22semidirect
72. #16811318C22semidirect
73. #16811318C22semidirect
74. #16811317C22semidirect
75. #16811316C22semidirect
76. #16811315C22semidirect
77. #16811314C22semidirect
78. #16811313C22semidirect
79. #16811312C22semidirect
80. #16811312C22semidirect
81. #16811312C22semidirect
82. #16811310C22semidirect
83. #16811310C22semidirect
84. #16811309C22semidirect
85. #16811307C22semidirect
86. #16811306C22semidirect
87. #16811306C22semidirect
88. #16811304C22semidirect
89. #16811303C22semidirect
90. #16811303C22semidirect
91. #16811302C22semidirect
92. #16811300C22semidirect
93. #16811299C22semidirect
94. #16811299C22semidirect
95. #16811298C22semidirect
96. #16811293C22semidirect
97. #16811293C22semidirect
98. #16811292C22semidirect
99. #16811291C22semidirect
100. D4×Dic106C22semidirect
101. Q8×C22⋊D53C22semidirect
102. #16811286C22semidirect
103. #16811284C22semidirect
104. #16811282C22semidirect
105. #16811281C22semidirect
106. #16811281C22semidirect
107. #16811279C22semidirect
108. #16811278C22semidirect
109. #16811277C22semidirect
110. #16811276C22semidirect
111. #16811273C22semidirect
112. #16811272C22semidirect
113. #16811272C22semidirect
114. #16811271C22semidirect
115. #16811271C22semidirect
116. #16811270C22semidirect
117. #16811268C22semidirect
118. #16811267C22semidirect
119. #16811267C22semidirect
120. #16811266C22semidirect
121. #16811263C22semidirect
122. #16811263C22semidirect
123. #16811262C22semidirect
124. #16811260C22semidirect
125. #16811260C22semidirect
126. D4×C22⋊D53C22semidirect
127. D4×C22⋊D53C22semidirect
128. #16811255C22semidirect
129. #16811247C22semidirect
130. #16811244C22semidirect
131. #16811242C22semidirect
132. #16811241C22semidirect
133. #16811241C22semidirect
134. #16811237C22semidirect
135. #16811237C22semidirect
136. #16811233C22semidirect
137. #16811231C22semidirect
138. #16811230C22semidirect
139. #16811230C22semidirect
140. #16811226C22semidirect
141. #16811224C22semidirect
142. #16811223C22semidirect
143. #16811223C22semidirect
144. #16811222C22semidirect
145. #16811219C22semidirect
146. #16811218C22semidirect
147. #16811215C22semidirect
148. #16811215C22semidirect
149. #16811214C22semidirect
150. #16811211C22semidirect
151. #16811209C22semidirect
152. #16811208C22semidirect
153. #16811208C22semidirect
154. #16811207C22semidirect
155. #16811180C22semidirect
156. #16811179C22semidirect
157. #16811178C22semidirect
158. #16811178C22semidirect
159. #16811178C22semidirect
160. #16811177C22semidirect
161. #16811175C22semidirect
162. #16811175C22semidirect
163. #16811172C22semidirect
164. #16811172C22semidirect
165. #16811171C22semidirect
166. #16811171C22semidirect
167. #16811170C22semidirect
168. #16811168C22semidirect
169. #16811168C22semidirect
170. #16811160C22semidirect
171. #16811159C22semidirect
172. #16811159C22semidirect
173. #16811158C22semidirect
174. #16811157C22semidirect
175. #16811157C22semidirect
176. #16811156C22semidirect
177. #16811156C22semidirect
178. #16811156C22semidirect
179. #16811156C22semidirect
181. #16811155C22semidirect
182. #16811155C22semidirect
183. #16811154C22semidirect
184. #16811154C22semidirect
185. #16811154C22semidirect
186. #16811154C22semidirect
187. #16811153C22semidirect
190. #16811152C22semidirect
191. #16811152C22semidirect
192. #16811152C22semidirect
193. #16811152C22semidirect
194. #16811152C22semidirect
195. #16811152C22semidirect
196. #16811152C22semidirect
197. #16811152C22semidirect
198. #16811152C22semidirect
199. #16811152C22semidirect
200. #16811152C22semidirect
201. #16811152C22semidirect
202. #16811151C22semidirect
203. #16811151C22semidirect
204. #16811150C22semidirect
205. #16811150C22semidirect
206. #16811150C22semidirect
207. #16811150C22semidirect
208. C2×#13133210C22semidirect
209. #126×D53C22semidirect
210. C2×#13133209C22semidirect
211. #125×D53C22semidirect
212. #124×D53C22semidirect
213. #16811136C22semidirect
214. #16811136C22semidirect
215. #16811133C22semidirect
216. #16811133C22semidirect
217. #16811133C22semidirect
218. #16811133C22semidirect
219. #16811132C22semidirect
220. #16811131C22semidirect
221. #16811130C22semidirect
222. #16811129C22semidirect
223. #16811129C22semidirect
224. C2×#13133199C22semidirect
225. #123×D53C22semidirect
226. C2×#13133193C22semidirect
227. C22⋊Q8×D53C22semidirect
230. #16811102C22semidirect
231. #16811102C22semidirect
232. #16811102C22semidirect
233. #16811102C22semidirect
234. #16811102C22semidirect
235. #16811102C22semidirect
236. #16811100C22semidirect
237. #16811100C22semidirect
238. #16811098C22semidirect
239. #16811096C22semidirect
240. #16811096C22semidirect
241. #41×Dic53C22semidirect
242. #41×Dic53C22semidirect
243. C4×#11719949C22semidirect
244. C4×#11719949C22semidirect
245. C4×#11719949C22semidirect
246. C4×#11719945C22semidirect
247. C4×#11719945C22semidirect
248. #16811091C22semidirect
249. #16811091C22semidirect
250. #16811091C22semidirect
254. C4×#11719947C22semidirect
255. C4×#11719947C22semidirect
256. C4×#11719947C22semidirect
257. C4×#11719947C22semidirect
258. C4×#11719947C22semidirect
259. C4×#11719947C22semidirect
260. C4×#11719947C22semidirect
261. C4×#11719947C22semidirect
262. C2×Q8×Dic53C22semidirect
263. C4×Q8×D53C22semidirect
264. C4×Q8×D53C22semidirect
265. C4×Q8×D53C22semidirect
266. C2×D4×Dic53C22semidirect
267. C2×#13133177C22semidirect
268. C4×D4×D53C22semidirect
269. C4×D4×D53C22semidirect
270. C4×D4×D53C22semidirect
271. C4×D4×D53C22semidirect
272. C4×D4×D53C22semidirect
273. C4×D4×D53C22semidirect
274. C2×#13133173C22semidirect
275. C2×#13133173C22semidirect
276. #117×D53C22semidirect
277. #117×D53C22semidirect
278. #117×D53C22semidirect
279. #117×D53C22semidirect
280. C2×C42×D53C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#559C22semidirect
283. C53×#556C22semidirect
284. C53×#555C22semidirect
285. C53×#551C22semidirect
286. D4×Q8×C53C22semidirect
287. C53×#548C22semidirect
288. C53×#546C22semidirect
289. C53×#546C22semidirect
290. D42×C53C22semidirect
291. C53×#542C22semidirect
292. C53×#538C22semidirect
293. C53×#532C22semidirect
294. C53×#529C22semidirect
295. C53×#529C22semidirect
296. C2×#124×C53C22semidirect
297. C53×#518C22semidirect
298. C4×#41×C53C22semidirect
888. #11719947#41semidirect
1323. #3514D53semidirect
1359. #559C2×D53semidirect
1372. #556C2×D53semidirect
1376. #555C2×D53semidirect
1417. #551C2×D53semidirect
1425. D4×Q8C2×D53semidirect
1431. #548C2×D53semidirect
1450. #546C2×D53semidirect
1451. #546C2×D53semidirect
1455. D42C2×D53semidirect
1463. #542C2×D53semidirect
1483. #538C2×D53semidirect
1499. #532C2×D53semidirect
1538. #529C2×D53semidirect
1539. #529C2×D53semidirect
1545. C2×#124C2×D53semidirect
1574. #518C2×D53semidirect
1596. C4×#41C2×D53semidirect
1617. C53#62816semidirect

Maximal subgroups

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

subgroupindex
#202888152
#202888102
#202887972
#202887762
#202887682
#202887652
#202887572
#202887442
#202887382
#202887302
#202887132
#202887022
#202886932
#202886812
#202886702
#202886512
#202886432
#202883112
#202883052
Q8×#117199472
#202882762
#202882722
#202882702
#202882662
#202881992
D4×#117199472
#202881022
#202880972
#202880102
#202880092
C2×#168111522
#529×D532
#202879132
C4×#41×D532
C53×#35142
#6281653