Finite Group Databasebeta

← #28292853

Subgroups — #28292853

Order 13568.

6626 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289391C214yesmaximal, complemented
2#20289375C214yesmaximal, complemented
3#20289360C212yesmaximal, complemented
4#20289303C212yesmaximal, complemented
5#20289205C211yesmaximal, characteristic, complemented
6#20289188C211yesmaximal, characteristic, complemented
7#20289106C211yesmaximal, characteristic, complemented
8#20289089C211yesmaximal, characteristic, complemented
9#20289035C212yesmaximal, complemented
10#20289012C212yesmaximal, complemented
11#20288886C214yesmaximal, complemented
12#20288820C212yesmaximal, complemented
13#20288814C212yesmaximal, complemented
14#20288811C211yesmaximal, characteristic, complemented
15#20288800C211yesmaximal, characteristic, complemented
16#20288787C212yesmaximal, complemented
17#20288777C212yesmaximal, complemented
18#20288775C214yesmaximal, complemented
19#20288764C211yesmaximal, characteristic, complemented
20#20288747C211yesmaximal, characteristic, complemented
21#20288730C211yesmaximal, characteristic, complemented
22#20288719C211yesmaximal, characteristic, complemented
23#20288695C211yesmaximal, characteristic, complemented
24#20288687C212yesmaximal, complemented
25#20288678C211yesmaximal, characteristic, complemented
26#20288670C212yesmaximal, complemented
27#20288630C212yesmaximal, complemented
28#20288604C212yesmaximal, complemented
29#20288567C212yesmaximal, complemented
30#20288554C212yesmaximal, complemented
31#20288467C212yesmaximal, complemented
32#20288450C212yesmaximal, complemented
33#20288011C211yesmaximal, characteristic, complemented
34#20288011C211yesmaximal, characteristic, complemented
35C2×C53×#529C211yesmaximal, characteristic, complemented
36#16811376C2214yescomplemented
37#16811374C2214yescomplemented
38#16811370C2214yescomplemented
39#16811370C2214yescomplemented
40#16811369C2214yescomplemented
41#16811368C2214yescomplemented
42#16811363C2214yescomplemented
43#16811361C2214yescomplemented
44#16811358C2212yescomplemented
45#16811358C2211yescharacteristic, complemented
46#16811357C2214yescomplemented
47#16811356C2214yescomplemented
48#16811356C2214yescomplemented
49#16811355C2212yescomplemented
50Q8×Dic106C2211yescharacteristic, complemented
51#16811352C2211yescharacteristic, complemented
52#16811351C2212yescomplemented
53#16811351C2211yescharacteristic, complemented
54#16811350C2212yescomplemented
55#16811346C2212yescomplemented
56#16811346C2211yescharacteristic, complemented
57#16811344C2212yescomplemented
58#16811343C2212yescomplemented
59#16811343C2212yescomplemented
60#16811343C2211yescharacteristic, complemented
61#16811342C2212yescomplemented
62#16811341C2214yescomplemented
63#16811340C2214yescomplemented
64#16811340C2214yescomplemented
65#16811338C2212yescomplemented
66#16811338C2212yescomplemented
67#16811338C2211yescharacteristic, complemented
68#16811337C2212yescomplemented
69#16811336C2214yescomplemented
70#16811335C2214yescomplemented
71#16811333C2212yescomplemented
72#16811333C2211yescharacteristic, complemented
73#16811330C2211yescharacteristic, complemented
74#16811329C2212yescomplemented
75#16811328C2214yescomplemented
76#16811328C2212yescomplemented
77#16811326C2212yescomplemented
78#16811324C2214yescomplemented
79#16811324C2214yescomplemented
80#16811323C2214yescomplemented
81#16811323C2214yescomplemented
82#16811322C2214yescomplemented
83#16811322C2214yescomplemented
84#16811321C2212yes—
85#16811321C2214yescomplemented
86#16811320C2212yes—
87#16811319C2212yescomplemented
88#16811319C2212yescomplemented
89#16811319C2212yescomplemented
90#16811318C2214yescomplemented
91#16811318C2214yescomplemented
92#16811317C2214yescomplemented
93#16811313C2212yescomplemented
94#16811313C2212yescomplemented
95#16811313C2212yescomplemented
96#16811312C2214yescomplemented
97#16811311C2212yescomplemented
98#16811309C2214yescomplemented
99#16811309C2214yescomplemented
100#16811308C2214yescomplemented
101#16811308C2212yescomplemented
102#16811308C2214yescomplemented
103#16811307C2212yescomplemented
104#16811306C2214yescomplemented
105#16811306C2214yescomplemented
106#16811305C2214yescomplemented
107#16811305C2214yescomplemented
108#16811303C2214yescomplemented
109#16811302C2214yescomplemented
110#16811302C2214yescomplemented
111#16811301C2214yescomplemented
112#16811299C2214yescomplemented
113#16811299C2214yescomplemented
114#16811299C2214yescomplemented
115#16811298C2214yescomplemented
116#16811298C2214yescomplemented
117#16811297C2214yescomplemented
118#16811297C2214yescomplemented
119#16811295C2211yescharacteristic, complemented
120#16811294C2212yescomplemented
121#16811294C2212yescomplemented
122#16811294C2211yescharacteristic, complemented
123#16811291C2212yescomplemented
124Q8×D212C2211yescharacteristic, complemented
125D4×Dic106C2211yescharacteristic, complemented
126Q8×C22⋊D53C2212yescomplemented
127#16811284C2212yescomplemented
128#16811283C2212yescomplemented
129#16811282C2212yescomplemented
130#16811282C2212yescomplemented
131#16811282C2212yescomplemented
132#16811281C2212yescomplemented
133#16811278C2212yescomplemented
134#16811278C2212yescomplemented
135#16811278C2211yescharacteristic, complemented
136#16811277C2211yescharacteristic, complemented
137#16811275C2212yescomplemented
138#16811274C2214yescomplemented
139#16811274C2212yescomplemented
140#16811274C2214yescomplemented
141#16811270C2212yes—
142#16811269C2212yescomplemented
143#16811269C2212yescomplemented
144#16811269C2212yescomplemented
145#16811267C2212yes—
146#16811266C2212yescomplemented
147#16811263C2214yes—
148#16811263C2214yescomplemented
149#16811263C2214yescomplemented
150D4×D212C2211yescharacteristic, complemented
151D4×C22⋊D53C2212yes—
152#16811251C2212yescomplemented
153#16811251C2212yescomplemented
154#16811246C2212yescomplemented
155#16811245C2212yescomplemented
156#16811245C2214yescomplemented
157#16811244C2212yescomplemented
158#16811244C2212yescomplemented
159#16811244C2212yescomplemented
160#16811244C2212yescomplemented
161#16811243C2214yescomplemented
162#16811241C2214yescomplemented
163#16811241C2214yescomplemented
164#16811240C2212yes—
165#16811239C2214yescomplemented
166#16811238C2212yescomplemented
167#16811237C2214yescomplemented
168#16811235C2212yescomplemented
169#16811235C2212yescomplemented
170#16811233C2212yescomplemented
171#16811232C2214yescomplemented
172#16811231C2212yescomplemented
173#16811231C2214yescomplemented
174#16811230C2214yescomplemented
175#16811228C2212yescomplemented
176#16811228C2212yescomplemented
177#16811226C2212yescomplemented
178#16811225C2214yescomplemented
179#16811225C2214yescomplemented
180#16811224C2212yescomplemented
181#16811223C2214yescomplemented
182#16811221C2214yescomplemented
183#16811220C2214yescomplemented
184#16811219C2214yescomplemented
185#16811216C2214yescomplemented
186#16811216C2214yescomplemented
187#16811215C2214yescomplemented
188#16811214C2214yescomplemented
189#16811212C2214yescomplemented
190#16811211C2214yescomplemented
191#16811211C2214yescomplemented
192#16811211C2214yescomplemented
193#16811209C2214yescomplemented
194#16811209C2214yescomplemented
195#16811207C2214yescomplemented
196#16811206C2214yescomplemented
197#16811205C2214yescomplemented
198#16811203C2212yescomplemented
199#16811202C2212yescomplemented
200#16811199C2212yescomplemented
201#16811196C2212yescomplemented
202#16811192C2212yescomplemented
203#16811190C2214yescomplemented
204#16811189C2212yes—
205#16811182C2214yescomplemented
206#16811180C2211yescharacteristic, complemented
207#16811180C2211yescharacteristic, complemented
208#16811180C2211yescharacteristic, complemented
209#16811180C2211yescharacteristic, complemented
210#16811180C2211yescharacteristic, complemented
211#16811180C2211yescharacteristic, complemented
212#16811180C2212yescomplemented
213#16811179C2212yescomplemented
214#16811173C2211yescharacteristic
215#16811173C2211yescharacteristic
216#16811173C2211yescharacteristic, complemented
217#16811173C2211yescharacteristic, complemented
218#16811173C2211yescharacteristic, complemented
219#16811173C2211yescharacteristic, complemented
220#16811173C2212yescomplemented
221#16811172C2212yescomplemented
222#16811158C2212yescomplemented
223#16811158C2212yescomplemented
224#16811157C2211yescharacteristic
225#16811157C2212yes—
226#16811157C2212yescomplemented
227#16811157C2212yescomplemented
228#16811157C2211yescharacteristic, complemented
229#16811157C2212yescomplemented
230#16811157C2211yescharacteristic, complemented
231#16811157C2211yescharacteristic, complemented
232#16811157C2212yescomplemented
233#16811157C2212yescomplemented
234#16811157C2212yescomplemented
235#16811157C2212yescomplemented
236#16811157C2212yescomplemented
237#16811157C2212yescomplemented
238#16811157C2212yescomplemented
239#16811157C2212yescomplemented
240#16811156C2214yescomplemented
241#16811156C2214yescomplemented
242#16811156C2214yescomplemented
243#16811152C2212yescomplemented
244#16811152C2212yescomplemented
245#126×D53C2214yescomplemented
246#125×D53C2212yescomplemented
247#124×D53C2212yescomplemented
248#16811134C2211yescharacteristic
249#16811134C2212yes—
250#16811134C2212yescomplemented
251#16811134C2212yescomplemented
252#16811134C2212yescomplemented
253#16811134C2211yescharacteristic, complemented
254#16811134C2212yescomplemented
255#16811134C2212yescomplemented
256#16811134C2212yescomplemented
257C2×#13133196C2212yescomplemented
258C2×#13133191C2212yes—
259#16811105C2212yescomplemented
260#16811104C2214yescomplemented
261#16811103C2212yescomplemented
262#16811103C2212yescomplemented
263#16811102C2212yescomplemented
264#16811100C2212yescomplemented
265#16811099C2212yescomplemented
266#16811097C2212yescomplemented
267#16811096C2214yescomplemented
268#16811095C2212yescomplemented
269C4×#11719945C2212yescomplemented
270C4×#11719945C2212yescomplemented
271C4×#11719945C2212yescomplemented
272C4×#11719945C2212yescomplemented
273C4×#11719945C2212yescomplemented
274C4×#11719945C2211yescharacteristic, complemented
275C4×#11719945C2211yescharacteristic, complemented
276C53×#529C2211yescharacteristic
277C53×#529C2211yescharacteristic
278C53×#529C2211yescharacteristic
279C53×#529C2211yescharacteristic
280C53×#529C2212yescomplemented
281C53×#529C2212yescomplemented
282C53×#529C2211yescharacteristic, complemented
283C53×#529C2211yescharacteristic, complemented
284C53×#529C2212yescomplemented
285C53×#529C2212yescomplemented
286C53×#529C2211yescharacteristic, complemented
287C53×#529C2211yescharacteristic, complemented
288C2×#126×C53C2212yescomplemented
289C2×#125×C53C2211yescharacteristic, complemented
290C2×#124×C53C2211yescharacteristic
291C2×#123×C53C2212yescomplemented
292C2×C22⋊Q8×C53C2211yescharacteristic, complemented
293C2×#121×C53C2211yescharacteristic
294C2×C4×Q8×C53C2211yescharacteristic, complemented
295C2×C4×D4×C53C2211yescharacteristic
296C2×C4×D4×C53C2212yescomplemented
297C2×#117×C53C2212yescomplemented
298C22×C42×C53C2211yescharacteristic, complemented
299C2×#11719949C2312yes—
300C2×#11719945C2311yescharacteristic
301C2×#11719945C2312yes—
302C2×#11719945C2312yes—
303C2×#11719945C2312yes—
304C2×#11719945C2314yes—
305C2×#11719945C2312yes—
306C2×#11719945C2312yes—
307C2×#11719945C2312yes—
308C2×#11719945C2311yescharacteristic
309C2×#11719945C2312yes—
310C2×#11719947C2312yes—
311C22×Dic106C2312yes—
312C2×Q8×D53C2312yes—
313C22×D212C2312yes—
314C22×C22⋊D53C2314yes—
315C2×D4×D53C2312yes—
316#13133217C2311yescharacteristic
317#13133217C2312yes—
318#13133217C2311yescharacteristic
319#13133217C2312yes—
320#13133217C2311yescharacteristic
321#13133217C2312yes—
322#13133217C2311yescharacteristic
323#13133217C2311yescharacteristic
324#13133217C2311yescharacteristic
325#13133216C2314yes—
326#13133216C2312yes—
327#13133216C2314yes—
328#13133216C2312yes—
329#13133216C2314yes—
330#13133215C2312yes—
331#13133215C2314yes—
332#13133214C2312yes—
333#13133214C2311yescharacteristic
334#13133214C2311yescharacteristic
335#13133213C2312yes—
336#13133213C2314yes—
337#13133213C2314yes—
338#13133212C2314yes—
339#13133212C2314yes—
340#13133212C2314yes—
341#13133212C2314yes—
342#13133212C2314yes—
343#13133212C2314yes—
344#13133212C2314yes—
345#13133212C2314yes—
346#13133212C2314yes—
347#13133212C2314yes—
348#13133211C2314yes—
349#13133211C2314yes—
350#13133211C2314yes—
351#13133211C2312yes—
352#13133211C2312yes—
353#13133211C2312yes—
354#13133211C2314yes—
355#13133211C2312yes—
356#13133210C2314yes—
357#13133210C2314yes—
358#13133210C2314yes—
359#13133210C2314yes—
360#13133210C2314yes—
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133209C2312yes—
369#13133209C2314yes—
370#13133209C2311yescharacteristic
371#13133209C2312yes—
372#13133209C2312yes—
373#13133209C2311yescharacteristic
374#13133209C2312yes—
375#13133209C2312yes—
376#13133209C2312yes—
377#13133209C2312yes—
378#13133208C2312yes—
379#13133208C2314yes—
380#13133208C2314yes—
381#13133208C2312yes—
382#13133208C2314yes—
383#13133207C2314yes—
384#13133207C2314yes—
385#13133207C2314yes—
386#13133207C2314yes—
387#13133207C2314yes—
388#13133207C2314yes—
389#13133207C2314yes—
390#13133207C2314yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133206C2312yes—
394#13133206C2314yes—
395#13133205C2311yescharacteristic
396#13133205C2312yes—
397#13133205C2312yes—
398#13133205C2311yescharacteristic
399#13133205C2312yes—
400#13133205C2314yes—
401#13133205C2312yes—
402#13133205C2312yes—
403#13133205C2312yes—
404#13133205C2312yes—
405#13133204C2312yes—
406#13133204C2314yes—
407#13133204C2314yes—
408#13133203C2314yes—
409#13133203C2314yes—
410#13133203C2314yes—
411#13133203C2314yes—
412#13133203C2314yes—
413#13133203C2314yes—
414#13133203C2314yes—
415#13133203C2314yes—
416#13133203C2314yes—
417#13133203C2314yes—
418#13133203C2314yes—
419#13133203C2314yes—
420#13133202C2314yes—
421#13133202C2314yes—
422#13133202C2314yes—
423#13133202C2314yes—
424#13133202C2314yes—
425#13133202C2314yes—
426#13133202C2314yes—
427#13133202C2314yes—
428#13133202C2314yes—
429#13133202C2314yes—
430#13133201C2314yes—
431#13133201C2314yes—
432#13133201C2314yes—
433#13133200C2312yes—
434#13133200C2314yes—
435#13133200C2314yes—
436#13133200C2314yes—
437#13133200C2314yes—
438#13133200C2312yes—
439#13133200C2314yes—
440#13133200C2314yes—
441#13133200C2312yes—
442#13133200C2312yes—
443#13133200C2314yes—
444#13133200C2312yes—
445#13133200C2312yes—
446#13133199C2314yes—
447#13133199C2314yes—
448#13133199C2314yes—
449#13133199C2314yes—
450#13133199C2314yes—
451#13133199C2314yes—
452#13133199C2314yes—
453#13133199C2314yes—
454#13133199C2314yes—
455#13133199C2314yes—
456#13133199C2314yes—
457#13133199C2314yes—
458#13133198C2314yes—
459#13133198C2314yes—
460#13133198C2314yes—
461#13133197C2312yes—
462#13133197C2312yes—
463#13133197C2314yes—
464#13133197C2314yes—
465#13133197C2314yes—
466#13133196C2312yes—
467#13133196C2312yes—
468#13133196C2312yes—
469#13133196C2312yes—
470#13133196C2311yescharacteristic
471#13133196C2312yes—
472#13133196C2312yes—
473#13133196C2311yescharacteristic
474#13133196C2314yes—
475#13133196C2312yes—
476#13133196C2314yes—
477#13133196C2314yes—
478#13133196C2312yes—
479#13133196C2312yes—
480#13133196C2312yes—
481#13133196C2311yescharacteristic
482#13133196C2312yes—
483#13133196C2311yescharacteristic
484#13133196C2312yes—
485#13133196C2312yes—
486#13133196C2312yes—
487#13133195C2314yes—
488#13133195C2314yes—
489#13133195C2314yes—
490#13133195C2314yes—
491#13133195C2314yes—
492#13133195C2314yes—
493#13133195C2314yes—
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2314yes—
497#13133194C2314yes—
498#13133194C2314yes—
499#13133194C2314yes—
500#13133194C2314yes—
501#13133194C2314yes—
502#13133194C2314yes—
503#13133193C2312yes—
504#13133193C2312yes—
505#13133193C2314yes—
506#13133193C2314yes—
507#13133192C2312yes—
508#13133192C2314yes—
509#13133192C2314yes—
510#13133192C2312yes—
511#13133192C2314yes—
512#13133191C2311yescharacteristic
513#13133191C2312yes—
514#13133191C2312yes—
515#13133191C2312yes—
516#13133191C2314yes—
517#13133191C2314yes—
518#13133191C2312yes—
519#13133191C2312yes—
520#13133191C2311yescharacteristic
521#13133191C2312yes—
522#13133191C2314yes—
523#13133191C2312yes—
524#13133191C2312yes—
525#13133191C2312yes—
526#13133191C2312yes—
527#13133191C2311yescharacteristic
528#13133191C2312yes—
529#13133191C2311yescharacteristic
530#13133191C2312yes—
531#13133191C2312yes—
532#13133191C2312yes—
533#13133190C2314yes—
534#13133190C2314yes—
535#13133190C2314yes—
536#13133190C2314yes—
537#13133190C2314yes—
538#13133190C2314yes—
539#13133190C2314yes—
540#13133190C2314yes—
541#13133190C2314yes—
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2314yes—
545#13133189C2314yes—
546#13133189C2314yes—
547#13133189C2314yes—
548#13133189C2314yes—
549#13133189C2314yes—
550#13133189C2314yes—
551#13133188C2312yes—
552#13133188C2314yes—
553#13133188C2314yes—
554#13133188C2314yes—
555#13133188C2312yes—
556#13133188C2314yes—
557#13133187C2314yes—
558#13133187C2314yes—
559#13133187C2314yes—
560#13133186C2314yes—
561#13133186C2314yes—
562#13133186C2312yes—
563#13133186C2314yes—
564#13133186C2312yes—
565#13133185C2314yes—
566#13133185C2314yes—
567#13133185C2314yes—
568Q8×Dic53C2312yes—
569Q8×Dic53C2312yes—
570C4×Dic106C2312yes—
571C4×Dic106C2312yes—
572C4×Dic106C2312yes—
573C4×Dic106C2312yes—
574C4×Dic106C2311yescharacteristic
575C4×Dic106C2311yescharacteristic
576C4×Dic106C2312yes—
577C4×Dic106C2312yes—
578C4×Dic106C2312yes—
579C4×Dic106C2314yes—
580C4×Dic106C2312yes—
581C4×Dic106C2312yes—
582C4×Dic106C2312yes—
583C4×Dic106C2312yes—
584C4×Dic106C2311yescharacteristic
585C4×Dic106C2312yes—
586C4×Dic106C2311yescharacteristic
587C4×Dic106C2312yes—
588C4×Dic106C2312yes—
589#13133182C2312yes—
590#13133182C2312yes—
591#13133182C2314yes—
592#13133182C2314yes—
593#13133182C2314yes—
594#13133182C2314yes—
595#13133182C2314yes—
596C4×D212C2312yes—
597C4×D212C2312yes—
598C4×D212C2312yes—
599C4×D212C2312yes—
600C4×D212C2312yes—
601C4×D212C2311yescharacteristic
602C4×D212C2312yes—
603C4×D212C2312yes—
604C4×D212C2311yescharacteristic
605C4×D212C2312yes—
606C4×D212C2314yes—
607C4×D212C2312yes—
608C4×D212C2312yes—
609C4×D212C2312yes—
610C4×D212C2311yescharacteristic
611C4×D212C2312yes—
612C4×D212C2311yescharacteristic
613C4×D212C2312yes—
614C4×D212C2312yes—
615D4×Dic53C2312yes—
616D4×Dic53C2312yes—
617#13133179C2312yes—
618#13133179C2314yes—
619#13133179C2314yes—
620#13133179C2312yes—
621#13133179C2314yes—
622#13133179C2314yes—
623#13133179C2314yes—
624C4×C22⋊D53C2312yes—
625C4×C22⋊D53C2312yes—
626C4×C22⋊D53C2314yes—
627C4×C22⋊D53C2314yes—
628C4×C22⋊D53C2312yes—
629C4×C22⋊D53C2312yes—
630C4×C22⋊D53C2314yes—
631C4×C22⋊D53C2314yes—
632C4×C22⋊D53C2312yes—
633C4×C22⋊D53C2314yes—
634C4×C22⋊D53C2312yes—
635C4×C22⋊D53C2314yes—
636C4×C22⋊D53C2314yes—
637C4×C22⋊D53C2314yes—
638C4×C22⋊D53C2314yes—
639C4×C22⋊D53C2312yes—
640C4×C22⋊D53C2312yes—
641C4×C22⋊D53C2312yes—
642C4×C22⋊D53C2314yes—
643C4×C22⋊D53C2312yes—
644C4×C22⋊D53C2314yes—
645C4×C22⋊D53C2312yes—
646C4×C22⋊D53C2314yes—
647C4×C22⋊D53C2312yes—
648#13133177C2314yes—
649#13133177C2314yes—
650#13133177C2314yes—
651#13133177C2314yes—
652#13133177C2314yes—
653#13133177C2314yes—
654#13133177C2314yes—
655#13133177C2314yes—
656#13133177C2314yes—
657#13133177C2314yes—
658#13133176C2312yes—
659#13133176C2312yes—
660#13133176C2314yes—
661#13133176C2312yes—
662#13133176C2311yescharacteristic
663#13133176C2312yes—
664#13133176C2312yes—
665#13133176C2312yes—
666#13133176C2311yescharacteristic
667#13133176C2312yes—
668#13133175C2314yes—
669#13133175C2314yes—
670#13133175C2314yes—
671#13133175C2314yes—
672#13133175C2314yes—
673#13133175C2312yes—
674#13133175C2312yes—
675#13133174C2314yes—
676#13133174C2314yes—
677#13133174C2312yes—
678#13133174C2314yes—
679#13133174C2314yes—
680#13133174C2312yes—
681#13133174C2314yes—
682#13133174C2312yes—
683#13133174C2312yes—
684#13133174C2312yes—
685#13133174C2312yes—
686#13133173C2314yes—
687#13133173C2314yes—
688#13133173C2314yes—
689#13133173C2314yes—
690#13133173C2314yes—
691C2×C4⋊Dic53C2312yes—
692C2×C4⋊Dic53C2312yes—
693C2×#11719919C2314yes—
694C4⋊C4×D53C2314yes—
695C4⋊C4×D53C2314yes—
696C4⋊C4×D53C2312yes—
697C4⋊C4×D53C2314yes—
698C4⋊C4×D53C2314yes—
699C4⋊C4×D53C2312yes—
700C4⋊C4×D53C2314yes—
701C2×C22⋊Dic53C2314yes—
702C2×#11719921C2314yes—
703C22⋊C4×D53C2314yes—
704C22⋊C4×D53C2314yes—
705C22⋊C4×D53C2314yes—
706C22⋊C4×D53C2314yes—
707C22⋊C4×D53C2314yes—
708C42×D53C2312yes—
709C42×D53C2312yes—
710C42×D53C2314yes—
711C22×Q8×C53C2311yescharacteristic
712C22×D4×C53C2311yescharacteristic
713C22×D4×C53C2312yes—
714C23×C4×C53C2311yescharacteristic
715C23×C4×C53C2311yescharacteristic
716C23×C4×C53C2311yescharacteristic
717C23×C4×C53C2312yes—
718#126×C53C2312yes—
719#126×C53C2312yes—
720#126×C53C2312yes—
721#126×C53C2312yes—
722#126×C53C2312yes—
723#126×C53C2312yes—
724#126×C53C2312yes—
725#126×C53C2312yes—
726#125×C53C2312yes—
727#125×C53C2311yescharacteristic
728#125×C53C2311yescharacteristic
729#125×C53C2311yescharacteristic
730#125×C53C2311yescharacteristic
731#125×C53C2312yes—
732#124×C53C2311yescharacteristic
733#124×C53C2311yescharacteristic
734#124×C53C2312yes—
735#124×C53C2311yescharacteristic
736#124×C53C2311yescharacteristic
737#124×C53C2312yes—
738#123×C53C2312yes—
739#123×C53C2312yes—
740#123×C53C2312yes—
741#123×C53C2312yes—
742#123×C53C2312yes—
743#123×C53C2312yes—
744#123×C53C2312yes—
745#123×C53C2312yes—
746C22⋊Q8×C53C2311yescharacteristic
747C22⋊Q8×C53C2311yescharacteristic
748C22⋊Q8×C53C2311yescharacteristic
749C22⋊Q8×C53C2311yescharacteristic
750C22⋊Q8×C53C2312yes—
751C22⋊Q8×C53C2312yes—
752#121×C53C2311yescharacteristic
753#121×C53C2311yescharacteristic
754#121×C53C2311yescharacteristic
755#121×C53C2312yes—
756#121×C53C2311yescharacteristic
757#121×C53C2312yes—
758C4×Q8×C53C2311yescharacteristic
759C4×Q8×C53C2311yescharacteristic
760C4×Q8×C53C2311yescharacteristic
761C4×Q8×C53C2311yescharacteristic
762C4×Q8×C53C2312yes—
763C4×Q8×C53C2312yes—
764C4×D4×C53C2312yes—
765C4×D4×C53C2312yes—
766C4×D4×C53C2312yes—
767C4×D4×C53C2311yescharacteristic
768C4×D4×C53C2312yes—
769C4×D4×C53C2311yescharacteristic
770C4×D4×C53C2312yes—
771C4×D4×C53C2311yescharacteristic
772C4×D4×C53C2311yescharacteristic
773C4×D4×C53C2312yes—
774C4×D4×C53C2312yes—
775C4×D4×C53C2312yes—
776C4×D4×C53C2312yes—
777C4×D4×C53C2312yes—
778#117×C53C2312yes—
779#117×C53C2312yes—
780#117×C53C2312yes—
781#117×C53C2312yes—
782#117×C53C2312yes—
783#117×C53C2312yes—
784#117×C53C2312yes—
785#117×C53C2312yes—
786C2×C4⋊C4×C53C2312yes—
787C2×C4⋊C4×C53C2311yescharacteristic
788C2×C4⋊C4×C53C2312yes—
789C2×C4⋊C4×C53C2312yes—
790C2×C4⋊C4×C53C2311yescharacteristic
791C2×C4⋊C4×C53C2312yes—
792C2×C22⋊C4×C53C2312yes—
793C2×C22⋊C4×C53C2312yes—
794C2×C22⋊C4×C53C2312yes—
795C2×C22⋊C4×C53C2312yes—
796C2×C22⋊C4×C53C2312yes—
797C2×C42×C53C2311yescharacteristic
798C2×C42×C53C2311yescharacteristic
799C2×C42×C53C2311yescharacteristic
800C2×C42×C53C2311yescharacteristic
801C2×C42×C53C2311yescharacteristic
802C2×C42×C53C2311yescharacteristic
803C2×C42×C53C2311yescharacteristic
804C2×C42×C53C2311yescharacteristic
805C2×C42×C53C2311yescharacteristic
806C2×C42×C53C2311yescharacteristic
807C2×C42×C53C2311yescharacteristic
808C2×C42×C53C2311yescharacteristic
809C2×C42×C53C2312yes—
810C24×C53C2412yes—
811C24×C53C2411yescharacteristic
812C23×D53C2414yes—
813C2×Q8×C53—42no—
814C2×Q8×C53C2411yescharacteristic
815C2×Q8×C53C2411yescharacteristic
816C2×Q8×C53C2412yes—
817C2×D4×C53—42no—
818C2×D4×C53—44no—
819C2×D4×C53C2411yescharacteristic
820C2×D4×C53C2411yescharacteristic
821C2×D4×C53C2412yes—
822C2×D4×C53C2412yes—
823C2×D4×C53C2412yes—
824C2×D4×C53C2412yes—
825C2×D4×C53C2412yes—
826C22×C4×C53—44no—
827C22×C4×C53—42no—
828C22×C4×C53—42no—
829C22×C4×C53—42no—
830C22×C4×C53C2411yescharacteristic
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2411yescharacteristic
833C22×C4×C53C2411yescharacteristic
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2411yescharacteristic
836C22×C4×C53C2411yescharacteristic
837C22×C4×C53C2411yescharacteristic
838C22×C4×C53C2412yes—
839C22×C4×C53C2412yes—
840C22×C4×C53C2412yes—
841C22×C4×C53C2411yescharacteristic
842C22×C4×C53C2411yescharacteristic
843C22×C4×C53C2411yescharacteristic
844C22×C4×C53C2411yescharacteristic
845C22×C4×C53C2411yescharacteristic
846C22×C4×C53C2411yescharacteristic
847C22×C4×C53C2411yescharacteristic
848C22×C4×C53C2411yescharacteristic
849C22×C4×C53C2411yescharacteristic
850C22×C4×C53C2411yescharacteristic
851C22×C4×C53C2412yes—
852C22×C4×C53C2412yes—
853C22×C4×C53C2412yes—
854C22×C4×C53C2412yes—
855C2×C22⋊D53—48no—
856C2×C22⋊D53C2412yes—
857C2×C22⋊D53C2414yes—
858C2×C22⋊D53C2412yes—
859C2×C22⋊D53C2414yes—
860C2×C22⋊D53C2414yes—
861C2×C22⋊D53C2414yes—
862C2×C22⋊D53C2414yes—
863C2×C22⋊D53C2414yes—
864C2×C22⋊D53C2414yes—
865C2×C22⋊D53C2412yes—
866C2×C22⋊D53C2412yes—
867C2×C22⋊D53C2414yes—
868C2×C22⋊D53C2414yes—
869C2×C22⋊D53C2412yes—
870C2×C22⋊D53C2412yes—
871C22×Dic53C2414yes—
872C22×Dic53C2414yes—
873C22×Dic53C2414yes—
874#11719949—44no—
875Q8×D53—44no—
876#11719947—44no—
877D4×D53—44no—
878#11719945—42no—
879#11719945—44no—
880#11719945—44no—
881#11719945—44no—
882#11719945—42no—
883#11719945—44no—
884#11719945—44no—
885#11719945—48no—
886#11719945—44no—
887#11719945—44no—
888C2×D212—44no—
889C2×D212C2412yes—
890C2×D212C2411yescharacteristic
891C2×D212C2412yes—
892C2×D212C2411yescharacteristic
893C2×D212C2414yes—
894C2×D212C2414yes—
895C2×D212C2414yes—
896C2×D212C2412yes—
897C2×D212C2412yes—
898C2×D212C2412yes—
899C2×C4×D53C2412yes—
900C2×C4×D53C2412yes—
901C2×C4×D53C2412yes—
902C2×C4×D53C2412yes—
903C2×C4×D53C2414yes—
904C2×C4×D53C2414yes—
905C2×C4×D53C2414yes—
906C2×C4×D53C2412yes—
907C2×C4×D53C2412yes—
908C2×C4×D53C2414yes—
909C2×C4×D53C2414yes—
910C2×C4×D53C2414yes—
911C2×C4×D53C2414yes—
912C2×C4×D53C2414yes—
913C2×C4×D53C2414yes—
914C2×Dic106—44no—
915C2×Dic106C2412yes—
916C2×Dic106C2411yescharacteristic
917C2×Dic106C2412yes—
918C2×Dic106C2411yescharacteristic
919C2×Dic106C2414yes—
920C2×Dic106C2414yes—
921C2×Dic106C2414yes—
922C2×Dic106C2412yes—
923C2×Dic106C2412yes—
924C2×Dic106C2412yes—
925C4⋊C4×C53C2412yes—
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2412yes—
928C4⋊C4×C53C2412yes—
929C4⋊C4×C53C2412yes—
930C4⋊C4×C53C2412yes—
931C4⋊C4×C53C2412yes—
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2411yescharacteristic
934C4⋊C4×C53C2411yescharacteristic
935C4⋊C4×C53C2412yes—
936C4⋊C4×C53C2412yes—
937C4⋊C4×C53C2412yes—
938C4⋊C4×C53C2412yes—
939C4⋊C4×C53C2412yes—
940C4⋊C4×C53C2411yescharacteristic
941C4⋊C4×C53C2411yescharacteristic
942C4⋊C4×C53C2412yes—
943C4⋊C4×C53C2412yes—
944C4⋊C4×C53C2412yes—
945C4⋊C4×C53C2412yes—
946C4⋊C4×C53C2412yes—
947C22⋊C4×C53C2412yes—
948C22⋊C4×C53C2412yes—
949C22⋊C4×C53C2412yes—
950C22⋊C4×C53C2412yes—
951C22⋊C4×C53C2412yes—
952C22⋊C4×C53C2412yes—
953C22⋊C4×C53C2412yes—
954C22⋊C4×C53C2412yes—
955C22⋊C4×C53C2412yes—
956C22⋊C4×C53C2412yes—
957C22⋊C4×C53C2412yes—
958C22⋊C4×C53C2412yes—
959C22⋊C4×C53C2412yes—
960C22⋊C4×C53C2412yes—
961C22⋊C4×C53C2412yes—
962C22⋊C4×C53C2412yes—
963C22⋊C4×C53C2412yes—
964C22⋊C4×C53C2412yes—
965C22⋊C4×C53C2412yes—
966C22⋊C4×C53C2412yes—
967C42×C53C2411yescharacteristic
968C42×C53C2411yescharacteristic
969C42×C53C2411yescharacteristic
970C42×C53C2411yescharacteristic
971C42×C53C2411yescharacteristic
972C42×C53C2411yescharacteristic
973C42×C53C2411yescharacteristic
974C42×C53C2411yescharacteristic
975C42×C53C2411yescharacteristic
976C42×C53C2411yescharacteristic
977C42×C53C2411yescharacteristic
978C42×C53C2411yescharacteristic
979C42×C53C2411yescharacteristic
980C42×C53C2411yescharacteristic
981C42×C53C2411yescharacteristic
982C42×C53C2411yescharacteristic
983C42×C53C2412yes—
984C42×C53C2412yes—
985C42×C53C2412yes—
986C42×C53C2412yes—
987C22⋊Dic53C2414yes—
988C22⋊Dic53C2414yes—
989C22⋊Dic53C2414yes—
990C22⋊Dic53C2414yes—
991C22⋊Dic53C2412yes—
992C22⋊Dic53C2414yes—
993C22⋊Dic53C2414yes—
994C22⋊Dic53C2414yes—
995C22⋊Dic53C2412yes—
996C22⋊Dic53C2412yes—
997C22⋊Dic53C2412yes—
998C22⋊Dic53C2414yes—
999C22⋊Dic53C2414yes—
1000C22⋊Dic53C2412yes—
1001C22⋊Dic53C2412yes—
1002#11719921C2412yes—
1003#11719921C2412yes—
1004#11719921C2412yes—
1005#11719921C2414yes—
1006#11719921C2414yes—
1007#11719921C2414yes—
1008#11719921C2414yes—
1009#11719921C2414yes—
1010#11719921C2414yes—
1011#11719921C2414yes—
1012#11719921C2412yes—
1013#11719921C2414yes—
1014#11719921C2414yes—
1015#11719921C2412yes—
1016#11719921C2412yes—
1017#11719921C2414yes—
1018#11719921C2412yes—
1019#11719921C2412yes—
1020#11719921C2412yes—
1021#11719921C2414yes—
1022#11719921C2412yes—
1023#11719921C2414yes—
1024#11719921C2414yes—
1025#11719921C2412yes—
1026#11719921C2412yes—
1027#11719921C2414yes—
1028#11719921C2414yes—
1029#11719921C2414yes—
1030#11719921C2414yes—
1031#11719921C2414yes—
1032C4⋊Dic53C2414yes—
1033C4⋊Dic53C2414yes—
1034C4⋊Dic53C2414yes—
1035C4⋊Dic53C2412yes—
1036C4⋊Dic53C2412yes—
1037C4⋊Dic53C2414yes—
1038C4⋊Dic53C2411yescharacteristic
1039C4⋊Dic53C2411yescharacteristic
1040C4⋊Dic53C2412yes—
1041C4⋊Dic53C2412yes—
1042C4⋊Dic53C2414yes—
1043C4⋊Dic53C2414yes—
1044C4⋊Dic53C2411yescharacteristic
1045C4⋊Dic53C2411yescharacteristic
1046C4⋊Dic53C2412yes—
1047C4⋊Dic53C2412yes—
1048C4⋊Dic53C2412yes—
1049C4⋊Dic53C2412yes—
1050C4⋊Dic53C2412yes—
1051C4⋊Dic53C2412yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2414yes—
1056#11719919C2414yes—
1057#11719919C2414yes—
1058#11719919C2414yes—
1059#11719919C2414yes—
1060#11719919C2414yes—
1061#11719919C2414yes—
1062#11719919C2414yes—
1063#11719919C2412yes—
1064#11719919C2414yes—
1065#11719919C2414yes—
1066#11719919C2412yes—
1067#11719919C2412yes—
1068#11719919C2414yes—
1069#11719919C2414yes—
1070#11719919C2414yes—
1071#11719919C2414yes—
1072#11719919C2412yes—
1073#11719919C2412yes—
1074#11719919C2412yes—
1075#11719919C2414yes—
1076#11719919C2412yes—
1077#11719919C2414yes—
1078#11719919C2414yes—
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2414yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2414yes—
1085C4×Dic53C2414yes—
1086C4×Dic53C2414yes—
1087C4×Dic53C2412yes—
1088C4×Dic53C2412yes—
1089C4×Dic53C2412yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2414yes—
1092C4×Dic53C2414yes—
1093C4×Dic53C2414yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2414yes—
1096C4×Dic53C2414yes—
1097C23×C53—22no—
1098C23×C53—24no—
1099C23×C53—41no—
1100C23×C53—41no—
1101C23×C53—42no—
1102C23×C53—42no—
1103C23×C53C2512yes—
1104C23×C53C2512yes—
1105C23×C53C2511yescharacteristic
1106C23×C53C2511yescharacteristic
1107C23×C53C2511yescharacteristic
1108C22×D53—44no—
1109C22×D53—44no—
1110C22×D53—44no—
1111C22×D53C2512yes—
1112C22×D53C2514yes—
1113C22×D53C2512yes—
1114Q8×C53—22no—
1115Q8×C53—22no—
1116Q8×C53—42no—
1117D4×C53—22no—
1118D4×C53—22no—
1119D4×C53—42no—
1120D4×C53—42no—
1121D4×C53—42no—
1122D4×C53—42no—
1123D4×C53—42no—
1124C2×C4×C53—22no—
1125C2×C4×C53—22no—
1126C2×C4×C53—24no—
1127C2×C4×C53—24no—
1128C2×C4×C53—24no—
1129C2×C4×C53—22no—
1130C2×C4×C53—22no—
1131C2×C4×C53—22no—
1132C2×C4×C53—22no—
1133C2×C4×C53—22no—
1134C2×C4×C53—22no—
1135C2×C4×C53—42no—
1136C2×C4×C53—42no—
1137C2×C4×C53—41no—
1138C2×C4×C53—41no—
1139C2×C4×C53—41no—
1140C2×C4×C53—41no—
1141C2×C4×C53—41no—
1142C2×C4×C53—41no—
1143C2×C4×C53—41no—
1144C2×C4×C53—41no—
1145C2×C4×C53—41no—
1146C2×C4×C53—41no—
1147C2×C4×C53—42no—
1148C2×C4×C53—42no—
1149C2×C4×C53C2512yes—
1150C2×C4×C53C2512yes—
1151C2×C4×C53C2511yescharacteristic
1152C2×C4×C53C2511yescharacteristic
1153C2×C4×C53C2511yescharacteristic
1154C2×C4×C53C2512yes—
1155C2×C4×C53C2511yescharacteristic
1156C2×C4×C53C2511yescharacteristic
1157C2×C4×C53C2511yescharacteristic
1158C2×C4×C53C2511yescharacteristic
1159C2×C4×C53C2511yescharacteristic
1160C2×C4×C53C2512yes—
1161C2×C4×C53C2512yes—
1162C2×C4×C53C2512yes—
1163C2×C4×C53C2511yescharacteristic
1164C2×C4×C53C2511yescharacteristic
1165C2×C4×C53C2511yescharacteristic
1166C2×C4×C53C2511yescharacteristic
1167C22⋊D53—24no—
1168C22⋊D53—28no—
1169C22⋊D53—24no—
1170C22⋊D53—42no—
1171C22⋊D53—44no—
1172C22⋊D53—44no—
1173C22⋊D53—44no—
1174C22⋊D53—42no—
1175C22⋊D53—44no—
1176C22⋊D53—42no—
1177C22⋊D53—42no—
1178C22⋊D53—44no—
1179C22⋊D53—44no—
1180C22⋊D53—44no—
1181C22⋊D53—44no—
1182C2×Dic53—44no—
1183C2×Dic53—44no—
1184C2×Dic53—44no—
1185C2×Dic53C2512yes—
1186C2×Dic53C2512yes—
1187C2×Dic53C2512yes—
1188C2×Dic53C2514yes—
1189C2×Dic53C2514yes—
1190C2×Dic53C2514yes—
1191C2×Dic53C2512yes—
1192C2×Dic53C2512yes—
1193C2×Dic53C2512yes—
1194D212—22no—
1195D212—24no—
1196D212—22no—
1197D212—24no—
1198D212—44no—
1199D212—42no—
1200D212—42no—
1201D212—42no—
1202D212—44no—
1203D212—44no—
1204C4×D53—24no—
1205C4×D53—24no—
1206C4×D53—42no—
1207C4×D53—44no—
1208C4×D53—44no—
1209C4×D53—44no—
1210C4×D53—44no—
1211C4×D53—42no—
1212C4×D53—42no—
1213C4×D53—44no—
1214C4×D53—44no—
1215C4×D53—44no—
1216C4×D53—42no—
1217C4×D53—44no—
1218C4×D53—44no—
1219Dic106—22no—
1220Dic106—24no—
1221Dic106—22no—
1222Dic106—24no—
1223Dic106—44no—
1224Dic106—42no—
1225Dic106—44no—
1226Dic106—42no—
1227Dic106—42no—
1228Dic106—44no—
1229#62827—531nomaximal, Sylow
1230C22×C53—21no—
1231C22×C53—21no—
1232C22×C53—22no—
1233C22×C53—22no—
1234C22×C53—22no—
1235C22×C53—21no—
1236C22×C53—21no—
1237C22×C53—21no—
1238C22×C53—21no—
1239C22×C53—22no—
1240C22×C53—22no—
1241C22×C53—22no—
1242C22×C53—21no—
1243C22×C53—21no—
1244C22×C53—44no—
1245C22×C53—84no—
1246C22×C53#58512yes—
1247C22×C53C2611yescharacteristic
1248C2×D53—22no—
1249C2×D53—22no—
1250C2×D53—22no—
1251C2×D53—22no—
1252C2×D53—24no—
1253C2×D53—24no—
1254C2×D53—24no—
1255C2×D53—22no—
1256C2×D53—22no—
1257C2×D53—164no—
1258C4×C53—22no—
1259C4×C53—22no—
1260C4×C53—21no—
1261C4×C53—21no—
1262C4×C53—21no—
1263C4×C53—22no—
1264C4×C53—21no—
1265C4×C53—21no—
1266C4×C53—21no—
1267C4×C53—21no—
1268C4×C53—21no—
1269C4×C53—22no—
1270C4×C53—22no—
1271C4×C53—22no—
1272C4×C53—21no—
1273C4×C53—21no—
1274C4×C53#58512yes—
1275C4×C53#58512yes—
1276Dic53—22no—
1277Dic53—24no—
1278Dic53—24no—
1279Dic53—22no—
1280Dic53—22no—
1281Dic53—22no—
1282Dic53—24no—
1283Dic53—22no—
1284Dic53—22no—
1285#3566—534no—
1286#3566—534no—
1287#3565—532no—
1288#3562—532no—
1289#3555—531no—
1290#3554—531no—
1291#3547—531no—
1292#3546—531no—
1293#3542—532no—
1294#3541—532no—
1295#3533—534no—
1296#3524—532no—
1297#3524—532no—
1298#3523—531no—
1299#3522—531no—
1300#3521—532no—
1301#3521—532no—
1302#3521—534no—
1303#3520—531no—
1304#3519—531no—
1305#3518—531no—
1306#3517—531no—
1307#3515—531no—
1308#3515—532no—
1309#3514—531no—
1310#3514—532no—
1311#3512—532no—
1312#3510—532no—
1313#3506—532no—
1314#3505—532no—
1315#3495—532no—
1316#3494—532no—
1317#3444—531no—
1318#3444—531no—
1319C2×#529D5311yescharacteristic, complemented
1320C2×C53—22no—
1321C2×C53—42no—
1322C2×C53—41no—
1323C2×C53—41no—
1324C2×C53—42no—
1325C2×C53C2×#58511yescharacteristic
1326C2×C53C2×#58511yescharacteristic
1327C2×C53C2×#58511yescharacteristic
1328D53—42no—
1329D53—44no—
1330D53—42no—
1331#563—534no—
1332#563—534no—
1333#562—534no—
1334#562—534no—
1335#562—534no—
1336#562—534no—
1337#560—534no—
1338#560—534no—
1339#559—532no—
1340#559—534no—
1341#559—531no—
1342#559—532no—
1343#559—534no—
1344#559—534no—
1345Q82—531no—
1346#557—532no—
1347#557—531no—
1348#557—532no—
1349#557—531no—
1350#556—534no—
1351#556—534no—
1352#556—532no—
1353#556—532no—
1354#556—531no—
1355#556—532no—
1356#556—532no—
1357#556—532no—
1358#556—531no—
1359#556—534no—
1360#555—534no—
1361#555—532no—
1362#555—532no—
1363#555—532no—
1364#555—531no—
1365#555—534no—
1366#554—532no—
1367#554—531no—
1368#554—532no—
1369#554—531no—
1370#554—534no—
1371#554—532no—
1372#553—534no—
1373#553—534no—
1374#553—532no—
1375#553—534no—
1376#553—534no—
1377#553—532no—
1378#553—532no—
1379#553—532no—
1380#553—532no—
1381#553—534no—
1382#553—534no—
1383#553—534no—
1384#553—534no—
1385#553—534no—
1386#553—532no—
1387#553—534no—
1388#552—534no—
1389#552—534no—
1390#552—534no—
1391#552—534no—
1392#552—532no—
1393#552—532no—
1394#552—532no—
1395#552—532no—
1396#552—532no—
1397#552—534no—
1398#552—534no—
1399#552—534no—
1400#552—534no—
1401#552—532no—
1402#552—534no—
1403#551—534no—
1404#551—534no—
1405#551—534no—
1406#551—534no—
1407#551—534no—
1408#551—534no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#551—534no—
1414#550—532no—
1415#550—531no—
1416#550—532no—
1417#550—532no—
1418#550—531no—
1419D4×Q8—532no—
1420D4×Q8—531no—
1421D4×Q8—531no—
1422#548—532no—
1423#548—532no—
1424#548—532no—
1425#548—532no—
1426#548—532no—
1427#548—532no—
1428#547—532no—
1429#547—531no—
1430#547—532no—
1431#547—532no—
1432#547—531no—
1433#547—534no—
1434#547—532no—
1435#547—534no—
1436#546—532no—
1437#546—532no—
1438#546—532no—
1439#546—532no—
1440#546—532no—
1441#546—532no—
1442#546—534no—
1443#546—534no—
1444#546—534no—
1445D42—532no—
1446D42—531no—
1447#544—532no—
1448#544—532no—
1449#542—534no—
1450#542—534no—
1451#542—534no—
1452#542—534no—
1453#542—532no—
1454#542—534no—
1455#542—532no—
1456#542—532no—
1457#542—534no—
1458#542—532no—
1459#542—532no—
1460#542—532no—
1461#542—532no—
1462#542—532no—
1463#541—534no—
1464#541—534no—
1465#541—532no—
1466#541—532no—
1467#541—534no—
1468#541—532no—
1469#541—532no—
1470#540—534no—
1471#540—534no—
1472#540—532no—
1473#540—534no—
1474#540—532no—
1475#540—532no—
1476#540—532no—
1477#539—534no—
1478#539—534no—
1479#539—534no—
1480#539—534no—
1481#539—534no—
1482#539—534no—
1483#539—534no—
1484#538—534no—
1485#538—534no—
1486#538—534no—
1487#538—534no—
1488#538—534no—
1489#538—534no—
1490#538—534no—
1491#538—534no—
1492#538—534no—
1493#537—532no—
1494#537—532no—
1495#536—532no—
1496#536—532no—
1497#535—534no—
1498#535—532no—
1499#535—532no—
1500#534—534no—
1501#533—532no—
1502#533—531no—
1503#533—531no—
1504#533—531no—
1505#533—531no—
1506#533—531no—
1507#533—531no—
1508#533—532no—
1509#532—532no—
1510#532—531no—
1511#532—531no—
1512#532—531no—
1513#532—531no—
1514#532—531no—
1515#532—531no—
1516#532—532no—
1517#529—534no—
1518#529—534no—
1519#529—534no—
1520#529—532no—
1521#529—532no—
1522#529—532no—
1523#529—532no—
1524#529—531no—
1525#529—532no—
1526#529—532no—
1527#529—532no—
1528#529—531no—
1529#529—532no—
1530#529—531no—
1531#529—532no—
1532#529—531no—
1533#529—532no—
1534#529—532no—
1535#529—532no—
1536#529—532no—
1537#529—532no—
1538#529—532no—
1539#529—532no—
1540#529C2×D5311yescharacteristic
1541#529C2×D5311yescharacteristic
1542#529C2×D5311yescharacteristic
1543#529C2×D5311yescharacteristic
1544#529C2×D5311yescharacteristic, complemented
1545#529C2×D5311yescharacteristic, complemented
1546#529C2×D5312yescomplemented
1547#529C2×D5311yescharacteristic, complemented
1548#529C2×D5311yescharacteristic, complemented
1549#529C2×D5312yescomplemented
1550#529C2×D5312yescomplemented
1551#529C2×D5312yescomplemented
1552C2×#126—534no—
1553C2×#126C2×D5312yescomplemented
1554C2×#125—532no—
1555C2×#125C2×D5311yescharacteristic, complemented
1556C2×#124—532no—
1557C2×#124C2×D5311yescharacteristic
1558#525—531no—
1559#525—532no—
1560#525—531no—
1561#525—532no—
1562#525—532no—
1563#525—532no—
1564#525—532no—
1565#525—532no—
1566#525—532no—
1567C2×#123C2×D5312yescomplemented
1568C2×C22⋊Q8—532no—
1569C2×C22⋊Q8C2×D5311yescharacteristic, complemented
1570C2×#121—532no—
1571C2×#121C2×D5311yescharacteristic
1572#520—532no—
1573#520—532no—
1574#520—532no—
1575#520—532no—
1576#520—534no—
1577#519—532no—
1578#519—532no—
1579#518—532no—
1580#518—532no—
1581#518—534no—
1582C4×#41—532no—
1583C4×#41—532no—
1584C4×#41—531no—
1585C4×#41—531no—
1586C4×#41—532no—
1587C4×#41—532no—
1588C4×#41—532no—
1589C2×C4×Q8C2×D5311yescharacteristic, complemented
1590C2×C4×D4C2×D5311yescharacteristic
1591C2×C4×D4C2×D5312yescomplemented
1592C2×#117C2×D5312yescomplemented
1593C22×C42C2×D5311yescharacteristic, complemented
1594C53#6282711yescharacteristic, complemented, Sylow
1595C2×#41—532no—
1596C2×#41—532no—
1597C2×#41—532no—
1598C2×#41—532no—
1599C2×#41—532no—
1600C2×#41—531no—
1601C2×#41—532no—
1602C2×#41—532no—
1603C2×#41—531no—
1604C2×#41—532no—
1605C2×#41—532no—
1606C2×#41—534no—
1607C22×Q8—532no—
1608C22×Q8—532no—
1609C22×Q8C22×D5311yescharacteristic
1610C22×D4—534no—
1611C22×D4—532no—
1612C22×D4—532no—
1613C22×D4C22×D5311yescharacteristic
1614C22×D4C22×D5312yes—
1615C23×C4C22×D5312yes—
1616C23×C4C22×D5311yescharacteristic
1617C23×C4C22×D5311yescharacteristic
1618C23×C4C22×D5311yescharacteristic
1619C4⋊Q8—532no—
1620C4⋊Q8—534no—
1621C4⋊Q8—532no—
1622C4⋊Q8—532no—
1623C4⋊Q8—534no—
1624C4⋊Q8—534no—
1625C4⋊Q8—534no—
1626C4⋊Q8—531no—
1627C4⋊Q8—531no—
1628C4⋊Q8—531no—
1629C4⋊Q8—531no—
1630C4⋊Q8—531no—
1631C4⋊Q8—531no—
1632C4⋊Q8—532no—
1633C4⋊Q8—532no—
1634C4⋊Q8—532no—
1635#127—532no—
1636#127—534no—
1637#127—534no—
1638#127—531no—
1639#127—531no—
1640#127—532no—
1641#126—534no—
1642#126—534no—
1643#126—534no—
1644#126—534no—
1645#126—534no—
1646#126—534no—
1647#126—534no—
1648#126—534no—
1649#126—534no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—534no—
1659#126—534no—
1660#126—534no—
1661#126—534no—
1662#126—534no—
1663#126—532no—
1664#126—532no—
1665#126—532no—
1666#126—534no—
1667#126—532no—
1668#126—534no—
1669#126—534no—
1670#126—534no—
1671#126C22×D5312yes—
1672#126C22×D5312yes—
1673#126C22×D5312yes—
1674#126C22×D5312yes—
1675#126C22×D5312yes—
1676#126C22×D5312yes—
1677#126C22×D5312yes—
1678#126C22×D5312yes—
1679#125—534no—
1680#125—534no—
1681#125—532no—
1682#125—532no—
1683#125—534no—
1684#125—534no—
1685#125—534no—
1686#125—534no—
1687#125—534no—
1688#125—534no—
1689#125—534no—
1690#125—534no—
1691#125—534no—
1692#125—534no—
1693#125—534no—
1694#125—532no—
1695#125—532no—
1696#125—532no—
1697#125—532no—
1698#125—532no—
1699#125—531no—
1700#125—531no—
1701#125—532no—
1702#125—532no—
1703#125—534no—
1704#125C22×D5311yescharacteristic
1705#125C22×D5311yescharacteristic
1706#125C22×D5311yescharacteristic
1707#125C22×D5311yescharacteristic
1708#125C22×D5312yes—
1709#125C22×D5312yes—
1710#124—532no—
1711#124—534no—
1712#124—532no—
1713#124—534no—
1714#124—534no—
1715#124—534no—
1716#124—534no—
1717#124—534no—
1718#124—534no—
1719#124—534no—
1720#124—534no—
1721#124—534no—
1722#124—534no—
1723#124—534no—
1724#124—534no—
1725#124—534no—
1726#124—534no—
1727#124—532no—
1728#124—532no—
1729#124—532no—
1730#124—532no—
1731#124—531no—
1732#124—531no—
1733#124—532no—
1734#124—532no—
1735#124—532no—
1736#124—534no—
1737#124C22×D5311yescharacteristic
1738#124C22×D5311yescharacteristic
1739#124C22×D5311yescharacteristic
1740#124C22×D5312yes—
1741#124C22×D5311yescharacteristic
1742#124C22×D5312yes—
1743#123—534no—
1744#123—534no—
1745#123—534no—
1746#123—532no—
1747#123—532no—
1748#123—532no—
1749#123—534no—
1750#123—532no—
1751#123—532no—
1752#123—534no—
1753#123—532no—
1754#123—534no—
1755#123—534no—
1756#123—534no—
1757#123—534no—
1758#123—534no—
1759#123—534no—
1760#123—534no—
1761#123—534no—
1762#123—534no—
1763#123—534no—
1764#123—534no—
1765#123—534no—
1766#123—534no—
1767#123—534no—
1768#123—534no—
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—534no—
1778#123—534no—
1779#123—534no—
1780#123—534no—
1781#123—534no—
1782#123—534no—
1783#123—534no—
1784#123C22×D5312yes—
1785#123C22×D5312yes—
1786#123C22×D5312yes—
1787#123C22×D5312yes—
1788#123C22×D5312yes—
1789#123C22×D5312yes—
1790#123C22×D5312yes—
1791#123C22×D5312yes—
1792C22⋊Q8—532no—
1793C22⋊Q8—532no—
1794C22⋊Q8—534no—
1795C22⋊Q8—534no—
1796C22⋊Q8—531no—
1797C22⋊Q8—532no—
1798C22⋊Q8—534no—
1799C22⋊Q8—534no—
1800C22⋊Q8—532no—
1801C22⋊Q8—532no—
1802C22⋊Q8—531no—
1803C22⋊Q8—532no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—532no—
1807C22⋊Q8—531no—
1808C22⋊Q8—532no—
1809C22⋊Q8—531no—
1810C22⋊Q8—532no—
1811C22⋊Q8—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—532no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—534no—
1817C22⋊Q8—532no—
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⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8—534no—
1834C22⋊Q8—534no—
1835C22⋊Q8—534no—
1836C22⋊Q8—534no—
1837C22⋊Q8—534no—
1838C22⋊Q8C22×D5311yescharacteristic
1839C22⋊Q8C22×D5311yescharacteristic
1840C22⋊Q8C22×D5311yescharacteristic
1841C22⋊Q8C22×D5311yescharacteristic
1842C22⋊Q8C22×D5312yes—
1843C22⋊Q8C22×D5312yes—
1844#121—532no—
1845#121—532no—
1846#121—534no—
1847#121—534no—
1848#121—534no—
1849#121—534no—
1850#121—534no—
1851#121—534no—
1852#121—534no—
1853#121—534no—
1854#121—534no—
1855#121—534no—
1856#121—531no—
1857#121—532no—
1858#121—534no—
1859#121—534no—
1860#121—532no—
1861#121—532no—
1862#121—531no—
1863#121—532no—
1864#121—532no—
1865#121—532no—
1866#121—532no—
1867#121—531no—
1868#121—532no—
1869#121—532no—
1870#121—531no—
1871#121—532no—
1872#121—532no—
1873#121—532no—
1874#121—532no—
1875#121—532no—
1876#121—534no—
1877#121—532no—
1878#121—532no—
1879#121—534no—
1880#121—534no—
1881#121—534no—
1882#121—534no—
1883#121—534no—
1884#121—534no—
1885#121—534no—
1886#121—534no—
1887#121—534no—
1888#121—534no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—534no—
1894#121C22×D5311yescharacteristic
1895#121C22×D5311yescharacteristic
1896#121C22×D5311yescharacteristic
1897#121C22×D5312yes—
1898#121C22×D5311yescharacteristic
1899#121C22×D5312yes—
1900#120—532no—
1901#120—534no—
1902#120—532no—
1903#120—534no—
1904#120—534no—
1905#120—534no—
1906#120—534no—
1907#120—534no—
1908#120—534no—
1909#120—534no—
1910#120—534no—
1911C4×Q8—532no—
1912C4×Q8—532no—
1913C4×Q8—532no—
1914C4×Q8—534no—
1915C4×Q8—534no—
1916C4×Q8—534no—
1917C4×Q8—532no—
1918C4×Q8—534no—
1919C4×Q8—534no—
1920C4×Q8—531no—
1921C4×Q8—532no—
1922C4×Q8—532no—
1923C4×Q8—531no—
1924C4×Q8—532no—
1925C4×Q8—532no—
1926C4×Q8—532no—
1927C4×Q8—532no—
1928C4×Q8—531no—
1929C4×Q8—531no—
1930C4×Q8—532no—
1931C4×Q8—532no—
1932C4×Q8—532no—
1933C4×Q8—532no—
1934C4×Q8—532no—
1935C4×Q8—534no—
1936C4×Q8—532no—
1937C4×Q8—532no—
1938C4×Q8—532no—
1939C4×Q8C22×D5311yescharacteristic
1940C4×Q8C22×D5311yescharacteristic
1941C4×Q8C22×D5311yescharacteristic
1942C4×Q8C22×D5311yescharacteristic
1943C4×Q8C22×D5312yes—
1944C4×Q8C22×D5312yes—
1945C4×D4—532no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—534no—
1949C4×D4—532no—
1950C4×D4—532no—
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—532no—
1961C4×D4—534no—
1962C4×D4—534no—
1963C4×D4—532no—
1964C4×D4—532no—
1965C4×D4—534no—
1966C4×D4—534no—
1967C4×D4—534no—
1968C4×D4—534no—
1969C4×D4—534no—
1970C4×D4—534no—
1971C4×D4—534no—
1972C4×D4—534no—
1973C4×D4—532no—
1974C4×D4—534no—
1975C4×D4—534no—
1976C4×D4—534no—
1977C4×D4—532no—
1978C4×D4—534no—
1979C4×D4—534no—
1980C4×D4—534no—
1981C4×D4—534no—
1982C4×D4—534no—
1983C4×D4—534no—
1984C4×D4—534no—
1985C4×D4—534no—
1986C4×D4—534no—
1987C4×D4—534no—
1988C4×D4—531no—
1989C4×D4—532no—
1990C4×D4—532no—
1991C4×D4—531no—
1992C4×D4—532no—
1993C4×D4—532no—
1994C4×D4—531no—
1995C4×D4—532no—
1996C4×D4—532no—
1997C4×D4—532no—
1998C4×D4—531no—
1999C4×D4—532no—
2000C4×D4—532no—
2001C4×D4—532no—
2002C4×D4—532no—
2003C4×D4—532no—
2004C4×D4—532no—
2005C4×D4—532no—
2006C4×D4—534no—
2007C4×D4C22×D5311yescharacteristic
2008C4×D4C22×D5311yescharacteristic
2009C4×D4C22×D5311yescharacteristic
2010C4×D4C22×D5312yes—
2011C4×D4C22×D5312yes—
2012C4×D4C22×D5311yescharacteristic
2013C4×D4C22×D5312yes—
2014C4×D4C22×D5312yes—
2015C4×D4C22×D5312yes—
2016C4×D4C22×D5312yes—
2017C4×D4C22×D5312yes—
2018C4×D4C22×D5312yes—
2019C4×D4C22×D5312yes—
2020C4×D4C22×D5312yes—
2021#117—532no—
2022#117—532no—
2023#117—532no—
2024#117—531no—
2025#117—532no—
2026#117—532no—
2027#117—531no—
2028#117—532no—
2029#117—532no—
2030#117—534no—
2031#117—532no—
2032#117—534no—
2033#117—532no—
2034#117—534no—
2035#117—534no—
2036#117—534no—
2037#117—534no—
2038#117—534no—
2039#117—534no—
2040#117—534no—
2041#117—534no—
2042#117—534no—
2043#117—532no—
2044#117—532no—
2045#117—532no—
2046#117—532no—
2047#117—534no—
2048#117—534no—
2049#117—534no—
2050#117—532no—
2051#117—532no—
2052#117—534no—
2053#117—534no—
2054#117C22×D5312yes—
2055#117C22×D5312yes—
2056#117C22×D5312yes—
2057#117C22×D5312yes—
2058#117C22×D5312yes—
2059#117C22×D5312yes—
2060#117C22×D5312yes—
2061#117C22×D5312yes—
2062C2×C4⋊C4—532no—
2063C2×C4⋊C4—534no—
2064C2×C4⋊C4—532no—
2065C2×C4⋊C4—532no—
2066C2×C4⋊C4—532no—
2067C2×C4⋊C4—534no—
2068C2×C4⋊C4—534no—
2069C2×C4⋊C4—534no—
2070C2×C4⋊C4—534no—
2071C2×C4⋊C4—534no—
2072C2×C4⋊C4C22×D5312yes—
2073C2×C4⋊C4C22×D5312yes—
2074C2×C4⋊C4C22×D5311yescharacteristic
2075C2×C4⋊C4C22×D5312yes—
2076C2×C4⋊C4C22×D5311yescharacteristic
2077C2×C4⋊C4C22×D5312yes—
2078C2×C22⋊C4—534no—
2079C2×C22⋊C4—534no—
2080C2×C22⋊C4—534no—
2081C2×C22⋊C4—534no—
2082C2×C22⋊C4—534no—
2083C2×C22⋊C4—534no—
2084C2×C22⋊C4—534no—
2085C2×C22⋊C4C22×D5312yes—
2086C2×C22⋊C4C22×D5312yes—
2087C2×C22⋊C4C22×D5312yes—
2088C2×C22⋊C4C22×D5312yes—
2089C2×C22⋊C4C22×D5312yes—
2090C2×C42—532no—
2091C2×C42—532no—
2092C2×C42—534no—
2093C2×C42C22×D5311yescharacteristic
2094C2×C42C22×D5312yes—
2095C2×C42C22×D5311yescharacteristic
2096C2×C42C22×D5311yescharacteristic
2097C2×C42C22×D5311yescharacteristic
2098C2×C42C22×D5311yescharacteristic
2099C2×C42C22×D5311yescharacteristic
2100C2×C42C22×D5311yescharacteristic
2101C2×C42C22×D5311yescharacteristic
2102C2×C42C22×D5311yescharacteristic
2103C2×C42C22×D5311yescharacteristic
2104C2×C42C22×D5311yescharacteristic
2105C2×C42C22×D5311yescharacteristic
2106C24—534no—
2107C24C23×D5312yes—
2108C24C23×D5311yescharacteristic
2109#41—2124no—
2110#41—2124no—
2111#41—2124no—
2112#41—2128no—
2113#41—2124no—
2114#41—2124no—
2115#41—2122no—
2116#41—2124no—
2117#41—2124no—
2118#41—2122no—
2119#41—2124no—
2120#41—2124no—
2121C2×Q8—42no—
2122C2×Q8—531no—
2123C2×Q8—532no—
2124C2×Q8—532no—
2125C2×Q8—531no—
2126C2×Q8—534no—
2127C2×Q8—532no—
2128C2×Q8—532no—
2129C2×Q8—532no—
2130C2×Q8—534no—
2131C2×Q8—534no—
2132C2×Q8—2124no—
2133C2×Q8—2124no—
2134C2×Q8C23×D5311yescharacteristic
2135C2×Q8C23×D5311yescharacteristic
2136C2×Q8C23×D5312yes—
2137C2×D4—42no—
2138C2×D4—44no—
2139C2×D4—532no—
2140C2×D4—534no—
2141C2×D4—532no—
2142C2×D4—532no—
2143C2×D4—532no—
2144C2×D4—534no—
2145C2×D4—534no—
2146C2×D4—534no—
2147C2×D4—534no—
2148C2×D4—534no—
2149C2×D4—534no—
2150C2×D4—534no—
2151C2×D4—532no—
2152C2×D4—532no—
2153C2×D4—534no—
2154C2×D4—531no—
2155C2×D4—532no—
2156C2×D4—532no—
2157C2×D4—531no—
2158C2×D4—532no—
2159C2×D4—532no—
2160C2×D4—532no—
2161C2×D4—534no—
2162C2×D4—534no—
2163C2×D4—534no—
2164C2×D4—2124no—
2165C2×D4—2124no—
2166C2×D4—2128no—
2167C2×D4C23×D5311yescharacteristic
2168C2×D4C23×D5311yescharacteristic
2169C2×D4C23×D5312yes—
2170C2×D4C23×D5312yes—
2171C2×D4C23×D5312yes—
2172C2×D4C23×D5312yes—
2173C2×D4C23×D5312yes—
2174C22×C4—44no—
2175C22×C4—42no—
2176C22×C4—42no—
2177C22×C4—42no—
2178C22×C4—534no—
2179C22×C4—534no—
2180C22×C4—534no—
2181C22×C4—532no—
2182C22×C4—532no—
2183C22×C4—532no—
2184C22×C4—532no—
2185C22×C4—534no—
2186C22×C4—534no—
2187C22×C4—534no—
2188C22×C4—532no—
2189C22×C4—532no—
2190C22×C4—534no—
2191C22×C4—534no—
2192C22×C4—534no—
2193C22×C4—534no—
2194C22×C4—534no—
2195C22×C4—534no—
2196C22×C4C23×D5311yescharacteristic
2197C22×C4C23×D5311yescharacteristic
2198C22×C4C23×D5311yescharacteristic
2199C22×C4C23×D5311yescharacteristic
2200C22×C4C23×D5311yescharacteristic
2201C22×C4C23×D5311yescharacteristic
2202C22×C4C23×D5311yescharacteristic
2203C22×C4C23×D5311yescharacteristic
2204C22×C4C23×D5312yes—
2205C22×C4C23×D5312yes—
2206C22×C4C23×D5312yes—
2207C22×C4C23×D5311yescharacteristic
2208C22×C4C23×D5311yescharacteristic
2209C22×C4C23×D5311yescharacteristic
2210C22×C4C23×D5311yescharacteristic
2211C22×C4C23×D5311yescharacteristic
2212C22×C4C23×D5311yescharacteristic
2213C22×C4C23×D5311yescharacteristic
2214C22×C4C23×D5311yescharacteristic
2215C22×C4C23×D5311yescharacteristic
2216C22×C4C23×D5311yescharacteristic
2217C22×C4C23×D5312yes—
2218C22×C4C23×D5312yes—
2219C22×C4C23×D5312yes—
2220C22×C4C23×D5312yes—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—531no—
2224C4⋊C4—532no—
2225C4⋊C4—531no—
2226C4⋊C4—532no—
2227C4⋊C4—534no—
2228C4⋊C4—534no—
2229C4⋊C4—534no—
2230C4⋊C4—534no—
2231C4⋊C4—534no—
2232C4⋊C4—532no—
2233C4⋊C4—532no—
2234C4⋊C4—532no—
2235C4⋊C4—532no—
2236C4⋊C4—534no—
2237C4⋊C4—534no—
2238C4⋊C4—534no—
2239C4⋊C4—534no—
2240C4⋊C4—534no—
2241C4⋊C4—534no—
2242C4⋊C4—534no—
2243C4⋊C4—534no—
2244C4⋊C4—534no—
2245C4⋊C4—531no—
2246C4⋊C4—532no—
2247C4⋊C4—531no—
2248C4⋊C4—532no—
2249C4⋊C4—534no—
2250C4⋊C4—532no—
2251C4⋊C4—532no—
2252C4⋊C4—534no—
2253C4⋊C4—534no—
2254C4⋊C4—532no—
2255C4⋊C4—532no—
2256C4⋊C4—534no—
2257C4⋊C4—534no—
2258C4⋊C4—534no—
2259C4⋊C4—532no—
2260C4⋊C4—532no—
2261C4⋊C4—532no—
2262C4⋊C4—532no—
2263C4⋊C4—532no—
2264C4⋊C4—532no—
2265C4⋊C4—532no—
2266C4⋊C4—532no—
2267C4⋊C4—534no—
2268C4⋊C4—534no—
2269C4⋊C4—534no—
2270C4⋊C4—534no—
2271C4⋊C4C23×D5312yes—
2272C4⋊C4C23×D5312yes—
2273C4⋊C4C23×D5312yes—
2274C4⋊C4C23×D5312yes—
2275C4⋊C4C23×D5311yescharacteristic
2276C4⋊C4C23×D5312yes—
2277C4⋊C4C23×D5311yescharacteristic
2278C4⋊C4C23×D5312yes—
2279C4⋊C4C23×D5312yes—
2280C4⋊C4C23×D5311yescharacteristic
2281C4⋊C4C23×D5311yescharacteristic
2282C4⋊C4C23×D5312yes—
2283C4⋊C4C23×D5312yes—
2284C4⋊C4C23×D5312yes—
2285C4⋊C4C23×D5312yes—
2286C4⋊C4C23×D5312yes—
2287C4⋊C4C23×D5312yes—
2288C4⋊C4C23×D5312yes—
2289C4⋊C4C23×D5312yes—
2290C4⋊C4C23×D5312yes—
2291C4⋊C4C23×D5312yes—
2292C4⋊C4C23×D5312yes—
2293C22⋊C4—532no—
2294C22⋊C4—534no—
2295C22⋊C4—534no—
2296C22⋊C4—534no—
2297C22⋊C4—534no—
2298C22⋊C4—534no—
2299C22⋊C4—532no—
2300C22⋊C4—534no—
2301C22⋊C4—532no—
2302C22⋊C4—532no—
2303C22⋊C4—532no—
2304C22⋊C4—534no—
2305C22⋊C4—534no—
2306C22⋊C4—532no—
2307C22⋊C4—534no—
2308C22⋊C4—532no—
2309C22⋊C4—532no—
2310C22⋊C4—532no—
2311C22⋊C4—532no—
2312C22⋊C4—534no—
2313C22⋊C4—534no—
2314C22⋊C4—534no—
2315C22⋊C4—534no—
2316C22⋊C4—534no—
2317C22⋊C4—534no—
2318C22⋊C4—534no—
2319C22⋊C4—534no—
2320C22⋊C4—534no—
2321C22⋊C4—532no—
2322C22⋊C4—532no—
2323C22⋊C4—534no—
2324C22⋊C4—532no—
2325C22⋊C4—532no—
2326C22⋊C4—532no—
2327C22⋊C4—532no—
2328C22⋊C4—534no—
2329C22⋊C4—534no—
2330C22⋊C4—534no—
2331C22⋊C4—534no—
2332C22⋊C4—534no—
2333C22⋊C4—534no—
2334C22⋊C4—532no—
2335C22⋊C4—532no—
2336C22⋊C4—534no—
2337C22⋊C4—534no—
2338C22⋊C4C23×D5312yes—
2339C22⋊C4C23×D5312yes—
2340C22⋊C4C23×D5312yes—
2341C22⋊C4C23×D5312yes—
2342C22⋊C4C23×D5312yes—
2343C22⋊C4C23×D5312yes—
2344C22⋊C4C23×D5312yes—
2345C22⋊C4C23×D5312yes—
2346C22⋊C4C23×D5312yes—
2347C22⋊C4C23×D5312yes—
2348C22⋊C4C23×D5312yes—
2349C22⋊C4C23×D5312yes—
2350C22⋊C4C23×D5312yes—
2351C22⋊C4C23×D5312yes—
2352C22⋊C4C23×D5312yes—
2353C22⋊C4C23×D5312yes—
2354C22⋊C4C23×D5312yes—
2355C22⋊C4C23×D5312yes—
2356C22⋊C4C23×D5312yes—
2357C22⋊C4C23×D5312yes—
2358C42—532no—
2359C42—532no—
2360C42—534no—
2361C42—534no—
2362C42—534no—
2363C42—532no—
2364C42—532no—
2365C42—532no—
2366C42—532no—
2367C42—534no—
2368C42—534no—
2369C42—534no—
2370C42—534no—
2371C42—534no—
2372C42—534no—
2373C42C23×D5311yescharacteristic
2374C42C23×D5311yescharacteristic
2375C42C23×D5311yescharacteristic
2376C42C23×D5311yescharacteristic
2377C42C23×D5311yescharacteristic
2378C42C23×D5311yescharacteristic
2379C42C23×D5311yescharacteristic
2380C42C23×D5311yescharacteristic
2381C42C23×D5311yescharacteristic
2382C42C23×D5311yescharacteristic
2383C42C23×D5311yescharacteristic
2384C42C23×D5311yescharacteristic
2385C42C23×D5311yescharacteristic
2386C42C23×D5311yescharacteristic
2387C42C23×D5311yescharacteristic
2388C42C23×D5311yescharacteristic
2389C42C23×D5312yes—
2390C42C23×D5312yes—
2391C42C23×D5312yes—
2392C42C23×D5312yes—
2393C23—22no—
2394C23—24no—
2395C23—41no—
2396C23—41no—
2397C23—42no—
2398C23—42no—
2399C23—532no—
2400C23—534no—
2401C23—532no—
2402C23—2124no—
2403C23—2124no—
2404C23—2124no—
2405C23C24×D5312yes—
2406C23C24×D5311yescharacteristic
2407C23C24×D5311yescharacteristic
2408C23C24×D5312yes—
2409C23C24×D5311yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—42no—
2413Q8—1062no—
2414Q8—1064no—
2415Q8—1064no—
2416Q8—1062no—
2417Q8—2124no—
2418Q8—2124no—
2419Q8—2122no—
2420Q8—2122no—
2421Q8—2122no—
2422Q8—2124no—
2423D4—22no—
2424D4—22no—
2425D4—42no—
2426D4—42no—
2427D4—42no—
2428D4—42no—
2429D4—42no—
2430D4—1064no—
2431D4—1068no—
2432D4—1064no—
2433D4—1062no—
2434D4—1064no—
2435D4—1064no—
2436D4—1062no—
2437D4—2124no—
2438D4—2122no—
2439D4—2122no—
2440D4—2122no—
2441D4—2124no—
2442D4—2124no—
2443D4—2124no—
2444D4—2124no—
2445D4—2124no—
2446D4—2122no—
2447D4—2122no—
2448D4—2124no—
2449D4—2122no—
2450D4—2124no—
2451D4—2124no—
2452D4—2124no—
2453D4—2124no—
2454D4—2122no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—24no—
2458C2×C4—22no—
2459C2×C4—22no—
2460C2×C4—24no—
2461C2×C4—24no—
2462C2×C4—22no—
2463C2×C4—22no—
2464C2×C4—22no—
2465C2×C4—22no—
2466C2×C4—41no—
2467C2×C4—41no—
2468C2×C4—42no—
2469C2×C4—42no—
2470C2×C4—41no—
2471C2×C4—41no—
2472C2×C4—41no—
2473C2×C4—41no—
2474C2×C4—41no—
2475C2×C4—41no—
2476C2×C4—42no—
2477C2×C4—41no—
2478C2×C4—41no—
2479C2×C4—42no—
2480C2×C4—532no—
2481C2×C4—532no—
2482C2×C4—532no—
2483C2×C4—534no—
2484C2×C4—534no—
2485C2×C4—534no—
2486C2×C4—532no—
2487C2×C4—532no—
2488C2×C4—532no—
2489C2×C4—1064no—
2490C2×C4—1064no—
2491C2×C4—2124no—
2492C2×C4—2122no—
2493C2×C4—2124no—
2494C2×C4—2122no—
2495C2×C4—2122no—
2496C2×C4—2124no—
2497C2×C4—2124no—
2498C2×C4—2122no—
2499C2×C4—2124no—
2500C2×C4—2124no—
2501C2×C4—2124no—
2502C2×C4—2124no—
2503C2×C4—2124no—
2504C2×C4—2124no—
2505C2×C4—2124no—
2506C2×C4—2124no—
2507C2×C4C24×D5311yescharacteristic
2508C2×C4C24×D5311yescharacteristic
2509C2×C4C24×D5311yescharacteristic
2510C2×C4C24×D5311yescharacteristic
2511C2×C4C24×D5311yescharacteristic
2512C2×C4C24×D5312yes—
2513C2×C4C24×D5312yes—
2514C2×C4C24×D5312yes—
2515C2×C4C24×D5312yes—
2516C2×C4C24×D5312yes—
2517C2×C4C24×D5311yescharacteristic
2518C2×C4C24×D5311yescharacteristic
2519C2×C4C24×D5311yescharacteristic
2520C2×C4C24×D5311yescharacteristic
2521C2×C4C24×D5311yescharacteristic
2522C2×C4C24×D5312yes—
2523C2×C4C24×D5311yescharacteristic
2524C2×C4C24×D5311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—21no—
2529C22—21no—
2530C22—21no—
2531C22—21no—
2532C22—22no—
2533C22—21no—
2534C22—21no—
2535C22—22no—
2536C22—22no—
2537C22—22no—
2538C22—22no—
2539C22—44no—
2540C22—84no—
2541C22—8484no—
2542C22—1062no—
2543C22—1062no—
2544C22—1062no—
2545C22—1062no—
2546C22—1064no—
2547C22—1064no—
2548C22—1064no—
2549C22—1062no—
2550C22—1062no—
2551C22#1681145912yes—
2552C22C25×D5311yescharacteristic
2553C4—21no—
2554C4—21no—
2555C4—21no—
2556C4—21no—
2557C4—21no—
2558C4—21no—
2559C4—22no—
2560C4—22no—
2561C4—21no—
2562C4—21no—
2563C4—21no—
2564C4—21no—
2565C4—22no—
2566C4—22no—
2567C4—22no—
2568C4—22no—
2569C4—1062no—
2570C4—1062no—
2571C4—1062no—
2572C4—1064no—
2573C4—1062no—
2574C4—1062no—
2575C4—1064no—
2576C4—1064no—
2577C4—1062no—
2578C4#1681145912yes—
2579C4#1681145912yes—
2580C2—22no—
2581C2—41no—
2582C2—41no—
2583C2—42no—
2584C2—42no—
2585C2—2122no—
2586C2—2124no—
2587C2—2122no—
2588C2C2×#1681145911yescharacteristic
2589C2C2×#1681145911yescharacteristic
2590C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC2×C53×#529C2
hypercenterC2×#529D53
hypocenterC53#62827
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #20289391C2semidirect
2. #20289375C2semidirect
3. #20289360C2semidirect
4. #20289303C2semidirect
5. #20289205C2semidirect
6. #20289188C2semidirect
7. #20289106C2semidirect
8. #20289089C2semidirect
9. #20289035C2semidirect
10. #20289012C2semidirect
11. #20288886C2semidirect
12. #20288820C2semidirect
13. #20288814C2semidirect
14. #20288811C2semidirect
15. #20288800C2semidirect
16. #20288787C2semidirect
17. #20288777C2semidirect
18. #20288775C2semidirect
19. #20288764C2semidirect
20. #20288747C2semidirect
21. #20288730C2semidirect
22. #20288719C2semidirect
23. #20288695C2semidirect
24. #20288687C2semidirect
25. #20288678C2semidirect
26. #20288670C2semidirect
27. #20288630C2semidirect
28. #20288604C2semidirect
29. #20288567C2semidirect
30. #20288554C2semidirect
31. #20288467C2semidirect
32. #20288450C2semidirect
33. #20288011C2semidirect
34. #20288011C2semidirect
35. C2×C53×#529C2semidirect
36. #16811376C22semidirect
37. #16811374C22semidirect
38. #16811370C22semidirect
39. #16811370C22semidirect
40. #16811369C22semidirect
41. #16811368C22semidirect
42. #16811363C22semidirect
43. #16811361C22semidirect
44. #16811358C22semidirect
45. #16811358C22semidirect
46. #16811357C22semidirect
47. #16811356C22semidirect
48. #16811356C22semidirect
49. #16811355C22semidirect
50. Q8×Dic106C22semidirect
51. #16811352C22semidirect
52. #16811351C22semidirect
53. #16811351C22semidirect
54. #16811350C22semidirect
55. #16811346C22semidirect
56. #16811346C22semidirect
57. #16811344C22semidirect
58. #16811343C22semidirect
59. #16811343C22semidirect
60. #16811343C22semidirect
61. #16811342C22semidirect
62. #16811341C22semidirect
63. #16811340C22semidirect
64. #16811340C22semidirect
65. #16811338C22semidirect
66. #16811338C22semidirect
67. #16811338C22semidirect
68. #16811337C22semidirect
69. #16811336C22semidirect
70. #16811335C22semidirect
71. #16811333C22semidirect
72. #16811333C22semidirect
73. #16811330C22semidirect
74. #16811329C22semidirect
75. #16811328C22semidirect
76. #16811328C22semidirect
77. #16811326C22semidirect
78. #16811324C22semidirect
79. #16811324C22semidirect
80. #16811323C22semidirect
81. #16811323C22semidirect
82. #16811322C22semidirect
83. #16811322C22semidirect
85. #16811321C22semidirect
87. #16811319C22semidirect
88. #16811319C22semidirect
89. #16811319C22semidirect
90. #16811318C22semidirect
91. #16811318C22semidirect
92. #16811317C22semidirect
93. #16811313C22semidirect
94. #16811313C22semidirect
95. #16811313C22semidirect
96. #16811312C22semidirect
97. #16811311C22semidirect
98. #16811309C22semidirect
99. #16811309C22semidirect
100. #16811308C22semidirect
101. #16811308C22semidirect
102. #16811308C22semidirect
103. #16811307C22semidirect
104. #16811306C22semidirect
105. #16811306C22semidirect
106. #16811305C22semidirect
107. #16811305C22semidirect
108. #16811303C22semidirect
109. #16811302C22semidirect
110. #16811302C22semidirect
111. #16811301C22semidirect
112. #16811299C22semidirect
113. #16811299C22semidirect
114. #16811299C22semidirect
115. #16811298C22semidirect
116. #16811298C22semidirect
117. #16811297C22semidirect
118. #16811297C22semidirect
119. #16811295C22semidirect
120. #16811294C22semidirect
121. #16811294C22semidirect
122. #16811294C22semidirect
123. #16811291C22semidirect
124. Q8×D212C22semidirect
125. D4×Dic106C22semidirect
126. Q8×C22⋊D53C22semidirect
127. #16811284C22semidirect
128. #16811283C22semidirect
129. #16811282C22semidirect
130. #16811282C22semidirect
131. #16811282C22semidirect
132. #16811281C22semidirect
133. #16811278C22semidirect
134. #16811278C22semidirect
135. #16811278C22semidirect
136. #16811277C22semidirect
137. #16811275C22semidirect
138. #16811274C22semidirect
139. #16811274C22semidirect
140. #16811274C22semidirect
142. #16811269C22semidirect
143. #16811269C22semidirect
144. #16811269C22semidirect
146. #16811266C22semidirect
148. #16811263C22semidirect
149. #16811263C22semidirect
150. D4×D212C22semidirect
152. #16811251C22semidirect
153. #16811251C22semidirect
154. #16811246C22semidirect
155. #16811245C22semidirect
156. #16811245C22semidirect
157. #16811244C22semidirect
158. #16811244C22semidirect
159. #16811244C22semidirect
160. #16811244C22semidirect
161. #16811243C22semidirect
162. #16811241C22semidirect
163. #16811241C22semidirect
165. #16811239C22semidirect
166. #16811238C22semidirect
167. #16811237C22semidirect
168. #16811235C22semidirect
169. #16811235C22semidirect
170. #16811233C22semidirect
171. #16811232C22semidirect
172. #16811231C22semidirect
173. #16811231C22semidirect
174. #16811230C22semidirect
175. #16811228C22semidirect
176. #16811228C22semidirect
177. #16811226C22semidirect
178. #16811225C22semidirect
179. #16811225C22semidirect
180. #16811224C22semidirect
181. #16811223C22semidirect
182. #16811221C22semidirect
183. #16811220C22semidirect
184. #16811219C22semidirect
185. #16811216C22semidirect
186. #16811216C22semidirect
187. #16811215C22semidirect
188. #16811214C22semidirect
189. #16811212C22semidirect
190. #16811211C22semidirect
191. #16811211C22semidirect
192. #16811211C22semidirect
193. #16811209C22semidirect
194. #16811209C22semidirect
195. #16811207C22semidirect
196. #16811206C22semidirect
197. #16811205C22semidirect
198. #16811203C22semidirect
199. #16811202C22semidirect
200. #16811199C22semidirect
201. #16811196C22semidirect
202. #16811192C22semidirect
203. #16811190C22semidirect
205. #16811182C22semidirect
206. #16811180C22semidirect
207. #16811180C22semidirect
208. #16811180C22semidirect
209. #16811180C22semidirect
210. #16811180C22semidirect
211. #16811180C22semidirect
212. #16811180C22semidirect
213. #16811179C22semidirect
216. #16811173C22semidirect
217. #16811173C22semidirect
218. #16811173C22semidirect
219. #16811173C22semidirect
220. #16811173C22semidirect
221. #16811172C22semidirect
222. #16811158C22semidirect
223. #16811158C22semidirect
226. #16811157C22semidirect
227. #16811157C22semidirect
228. #16811157C22semidirect
229. #16811157C22semidirect
230. #16811157C22semidirect
231. #16811157C22semidirect
232. #16811157C22semidirect
233. #16811157C22semidirect
234. #16811157C22semidirect
235. #16811157C22semidirect
236. #16811157C22semidirect
237. #16811157C22semidirect
238. #16811157C22semidirect
239. #16811157C22semidirect
240. #16811156C22semidirect
241. #16811156C22semidirect
242. #16811156C22semidirect
243. #16811152C22semidirect
244. #16811152C22semidirect
245. #126×D53C22semidirect
246. #125×D53C22semidirect
247. #124×D53C22semidirect
250. #16811134C22semidirect
251. #16811134C22semidirect
252. #16811134C22semidirect
253. #16811134C22semidirect
254. #16811134C22semidirect
255. #16811134C22semidirect
256. #16811134C22semidirect
257. C2×#13133196C22semidirect
259. #16811105C22semidirect
260. #16811104C22semidirect
261. #16811103C22semidirect
262. #16811103C22semidirect
263. #16811102C22semidirect
264. #16811100C22semidirect
265. #16811099C22semidirect
266. #16811097C22semidirect
267. #16811096C22semidirect
268. #16811095C22semidirect
269. C4×#11719945C22semidirect
270. C4×#11719945C22semidirect
271. C4×#11719945C22semidirect
272. C4×#11719945C22semidirect
273. C4×#11719945C22semidirect
274. C4×#11719945C22semidirect
275. C4×#11719945C22semidirect
280. C53×#529C22semidirect
281. C53×#529C22semidirect
282. C53×#529C22semidirect
283. C53×#529C22semidirect
284. C53×#529C22semidirect
285. C53×#529C22semidirect
286. C53×#529C22semidirect
287. C53×#529C22semidirect
288. C2×#126×C53C22semidirect
289. C2×#125×C53C22semidirect
291. C2×#123×C53C22semidirect
292. C2×C22⋊Q8×C53C22semidirect
294. C2×C4×Q8×C53C22semidirect
296. C2×C4×D4×C53C22semidirect
297. C2×#117×C53C22semidirect
298. C22×C42×C53C22semidirect
1319. C2×#529D53semidirect
1544. #529C2×D53semidirect
1545. #529C2×D53semidirect
1546. #529C2×D53semidirect
1547. #529C2×D53semidirect
1548. #529C2×D53semidirect
1549. #529C2×D53semidirect
1550. #529C2×D53semidirect
1551. #529C2×D53semidirect
1553. C2×#126C2×D53semidirect
1555. C2×#125C2×D53semidirect
1567. C2×#123C2×D53semidirect
1569. C2×C22⋊Q8C2×D53semidirect
1589. C2×C4×Q8C2×D53semidirect
1591. C2×C4×D4C2×D53semidirect
1592. C2×#117C2×D53semidirect
1593. C22×C42C2×D53semidirect
1594. C53#62827semidirect

Maximal subgroups

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

subgroupindex
#202893912
#202893752
#202893602
#202893032
#202892052
#202891882
#202891062
#202890892
#202890352
#202890122
#202888862
#202888202
#202888142
#202888112
#202888002
#202887872
#202887772
#202887752
#202887642
#202887472
#202887302
#202887192
#202886952
#202886872
#202886782
#202886702
#202886302
#202886042
#202885672
#202885542
#202884672
#202884502
#202880112
C2×C53×#5292
#6282753