Finite Group Databasebeta

← #16770572

Subgroups — #16770572

Order 3328.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129413C214yesmaximal, complemented
2#13129396C212yesmaximal, complemented
3#13129390C212yesmaximal, complemented
4#13129378C212yesmaximal, complemented
5#13129368C212yesmaximal, complemented
6#13129350C212yesmaximal, complemented
7#13129348C212yesmaximal, complemented
8#13129297C212yesmaximal, complemented
9#13129275C212yesmaximal, complemented
10#13129206C212yesmaximal, complemented
11#13129161C212yesmaximal, complemented
12#13129071C211yesmaximal, characteristic, complemented
13#13129063C211yesmaximal, characteristic, complemented
14#13129058C211yesmaximal, characteristic, complemented
15#13129014C214yesmaximal, complemented
16#13128971C214yesmaximal, complemented
17#13128443C212yesmaximal, complemented
18#13128437C212yesmaximal, complemented
19#13128430C212yesmaximal, complemented
20D4×#6129C214yesmaximal, complemented
21D4×#6129C212yesmaximal, complemented
22#13128251C212yesmaximal, complemented
23#13128249C212yesmaximal, complemented
24#13128247C212yesmaximal, complemented
25#13128242C212yesmaximal, complemented
26#13128218C212yesmaximal, complemented
27#13128162C212yesmaximal, complemented
28#13128128C211yesmaximal, characteristic, complemented
29C2×#11719301C211yesmaximal, characteristic, complemented
30C2×#11719305C211yesmaximal, characteristic, complemented
31C13×#3537C211yesmaximal, characteristic, complemented
32C22×#6129C2212yescomplemented
33C22×#6129C2214yescomplemented
34C13×#560C2214yescomplemented
35C13×#553C2212yescomplemented
36C13×#553C2212yescomplemented
37D42×C13C2214yescomplemented
38D42×C13C2212yescomplemented
39D42×C13C2212yescomplemented
40C13×#540C2212yescomplemented
41C13×#538C2212yescomplemented
42C13×#538C2212yescomplemented
43C13×#535C2212yescomplemented
44C13×#534C2212yescomplemented
45C13×#534C2212yescomplemented
46C13×#525C2211yescharacteristic, complemented
47C2×C13×#121C2211yescharacteristic
48C2×C13×#121C2211yescharacteristic, complemented
49#11719538C2212yescomplemented
50#11719537C2211yescharacteristic, complemented
51#41×Dic13C2211yescharacteristic, complemented
52#11719511C2214yescomplemented
53#11719511C2214yescomplemented
54#11719511C2214yescomplemented
55#11719511C2212yescomplemented
56#11719511C2214yescomplemented
57#11719511C2212yescomplemented
58#11719510C2212yescomplemented
59#11719509C2214yescomplemented
60#11719509C2214yescomplemented
61C2×#88194C2211yescharacteristic, complemented
62C2×#88193C2212yescomplemented
63D4×C22⋊D13C2214yescomplemented
64D4×C22⋊D13C2212yescomplemented
65D4×C22⋊D13C2214yescomplemented
66D4×C22⋊D13C2212yescomplemented
67C2×#88190C2211yescharacteristic, complemented
68C2×#88189C2212yescomplemented
69C2×D4×Dic13C2214yescomplemented
70C2×D4×Dic13C2212yescomplemented
71C2×D4×Dic13C2212yescomplemented
72C2×D4×Dic13C2211yescharacteristic, complemented
73C2×D4×Dic13C2211yescharacteristic, complemented
74#11719496C2211yescharacteristic, complemented
75C2×#88184C2211yescharacteristic, complemented
76C2×#88178C2211yescharacteristic, complemented
77C22×C4×Dic13C2211yescharacteristic, complemented
78#11719425C2214yescomplemented
79#11719424C2214yescomplemented
80#11719423C2212yescomplemented
81#11719423C2214yescomplemented
82#11719421C2214yescomplemented
83#11719421C2212yescomplemented
84#11719420C2212yescomplemented
85#11719418C2212yescomplemented
86#11719417C2214yescomplemented
87#11719417C2214yescomplemented
88#11719412C2214yescomplemented
89#11719411C2214yescomplemented
90#11719411C2214yescomplemented
91#11719410C2214yescomplemented
92#11719407C2214yescomplemented
93#11719406C2214yescomplemented
94#11719396C2212yescomplemented
95#11719395C2212yescomplemented
96#11719394C2212yescomplemented
97#11719390C2212yescomplemented
98#11719387C2214yescomplemented
99#11719385C2214yescomplemented
100#11719383C2214yescomplemented
101#11719374C2214yescomplemented
102#11719372C2214yescomplemented
103#11719372C2214yescomplemented
104#11719370C2214yescomplemented
105#11719370C2214yescomplemented
106#11719369C2214yescomplemented
107#11719367C2214yescomplemented
108#11719367C2214yescomplemented
109#11719366C2214yescomplemented
110#11719365C2214yescomplemented
111#11719362C2214yescomplemented
112#11719361C2214yescomplemented
113#11719361C2214yescomplemented
114#11719356C2214yescomplemented
115#11719354C2212yescomplemented
116#11719354C2214yescomplemented
117#11719354C2214yescomplemented
118#11719354C2212yescomplemented
119#11719353C2214yescomplemented
120#11719353C2214yescomplemented
121#11719350C2212yescomplemented
122#11719339C2212yescomplemented
123#11719329C2211yescharacteristic, complemented
124#11719329C2211yescharacteristic, complemented
125#11719327C2211yescharacteristic, complemented
126#11719327C2211yescharacteristic, complemented
127#11719326C2214yescomplemented
128#11719326C2214yescomplemented
129#11719326C2214yescomplemented
130#11719326C2214yescomplemented
131#11719325C2214yescomplemented
132#11719325C2214yescomplemented
133#11719324C2212yescomplemented
134#11719324C2212yescomplemented
135#11719323C2212yescomplemented
136#11719323C2212yescomplemented
137#11719323C2214yescomplemented
138#11719322C2212yescomplemented
139#11719322C2212yescomplemented
140#11719320C2214yescomplemented
141#11719320C2214yescomplemented
142#11719318C2214yescomplemented
143#11719318C2214yescomplemented
144#11719317C2212yescomplemented
145#11719316C2212yescomplemented
146#11719316C2214yescomplemented
147#11719316C2212yescomplemented
148#11719316C2214yescomplemented
149#11719315C2214yescomplemented
150#11719314C2212yescomplemented
151#11719313C2212yescomplemented
152#11719312C2212yescomplemented
153#11719311C2214yescomplemented
154#11719311C2214yescomplemented
155#11719311C2214yescomplemented
156#11719310C2212yescomplemented
157#11719308C2212yescomplemented
158#11719308C2212yescomplemented
159#11719307C2212yescomplemented
160#11719307C2214yescomplemented
161#11719306C2214yescomplemented
162#11719305C2212yescomplemented
163#11719305C2214yescomplemented
164#11719305C2211yescharacteristic, complemented
165#11719305C2212yescomplemented
166#11719305C2212yescomplemented
167#11719305C2212yescomplemented
168#11719305C2212yescomplemented
169#11719305C2212yescomplemented
170#11719305C2212yescomplemented
171#11719305C2211yescharacteristic, complemented
172#11719305C2212yescomplemented
173#11719305C2212yescomplemented
174#11719304C2212yescomplemented
175#11719303C2214yescomplemented
176#11719303C2214yescomplemented
177#11719303C2212yescomplemented
178#11719303C2214yescomplemented
179#11719302C2214yescomplemented
180#11719302C2212yescomplemented
181#11719302C2212yescomplemented
182#11719301C2212yescomplemented
183#11719301C2214yescomplemented
184#11719301C2212yescomplemented
185#11719301C2212yescomplemented
186#11719301C2212yescomplemented
187#11719301C2212yescomplemented
188#11719301C2212yescomplemented
189#11719301C2214yescomplemented
190#11719301C2211yescharacteristic, complemented
191#11719301C2212yescomplemented
192#11719301C2212yescomplemented
193#11719301C2212yescomplemented
194#11719301C2211yescharacteristic, complemented
195#11719300C2214yescomplemented
196#11719300C2214yescomplemented
197#11719299C2214yescomplemented
198#11719298C2214yescomplemented
199#11719298C2214yescomplemented
200#11719298C2214yescomplemented
201#11719298C2214yescomplemented
202#11719298C2214yescomplemented
203#11719297C2214yescomplemented
204#11719297C2214yescomplemented
205#11719296C2214yescomplemented
206#11719296C2214yescomplemented
207#11719296C2214yescomplemented
208#11719296C2214yescomplemented
209#11719296C2214yescomplemented
210#11719296C2214yescomplemented
211#11719294C2214yescomplemented
212#11719292C2214yescomplemented
213#11719292C2214yescomplemented
214#11719291C2214yescomplemented
215#11719291C2214yescomplemented
216#11719291C2214yescomplemented
217#11719291C2214yescomplemented
218#11719291C2214yescomplemented
219#11719291C2212yescomplemented
220#11719291C2214yescomplemented
221#11719291C2212yescomplemented
222#11719269C2214yescomplemented
223#11719269C2214yescomplemented
224#11719267C2212yescomplemented
225#11719266C2212yescomplemented
226#11719264C2212yescomplemented
227#11719264C2212yescomplemented
228#11719261C2214yescomplemented
229#11719260C2212yescomplemented
230#11719260C2214yescomplemented
231#11719257C2212yescomplemented
232#11719255C2212yescomplemented
233C4×D4×D13C2214yescomplemented
234C4×D4×D13C2212yescomplemented
235#11719248C2212yescomplemented
236#11719248C2212yescomplemented
237#11719245C2214yescomplemented
238#11719243C2212yescomplemented
239#11719243C2212yescomplemented
240D4×Dic26C2212yescomplemented
241D4×Dic26C2214yescomplemented
242C4×#6129C2214yescomplemented
243C4×#6129C2212yescomplemented
244C4×#6129C2212yescomplemented
245C4×#6129C2212yescomplemented
246#11719239C2212yescomplemented
247#11719238C2212yescomplemented
248#11719235C2212yescomplemented
249#11719227C2212yescomplemented
250#11719227C2211yescharacteristic, complemented
251#11719224C2212yescomplemented
252#11719222C2211yescharacteristic, complemented
253#11719219C2212yescomplemented
254#11719216C2212yescomplemented
255C2×#88147C2211yescharacteristic, complemented
256C2×#88144C2211yescharacteristic, complemented
257C2×#88142C2211yescharacteristic, complemented
258C2×#88141C2211yescharacteristic, complemented
259#11719199C2212yescomplemented
260#11719199C2212yescomplemented
261#11719198C2212yescomplemented
262C2×#88139C2212yescomplemented
263C2×#88135C2212yescomplemented
264#11719188C2212yescomplemented
265C2×#88133C2212yescomplemented
266C2×#88131C2212yescomplemented
267C2×C13×#41C2311yescharacteristic
268C22×D4×C13C2312yes—
269C22×D4×C13C2311yescharacteristic
270C22×D4×C13C2314yes—
271C22×D4×C13C2312yes—
272C22×D4×C13C2311yescharacteristic
273C22×D4×C13C2312yes—
274C22×D4×C13C2314yes—
275C23×C4×C13C2311yescharacteristic
276C22×C22⋊D13C2312yes—
277C22×C22⋊D13C2312yes—
278C22×C22⋊D13C2314yes—
279C22×C22⋊D13C2312yes—
280C22×C22⋊D13C2314yes—
281C23×Dic13C2312yes—
282C23×Dic13C2311yescharacteristic
283C23×Dic13C2312yes—
284C23×Dic13C2311yescharacteristic
285C23×Dic13C2314yes—
286C2×#6129—48no—
287C2×#6129—416no—
288C2×#6129C2314yes—
289C2×#6129C2312yes—
290C2×#6129C2312yes—
291C2×#6129C2312yes—
292C2×#6129C2314yes—
293C2×#6129C2314yes—
294C2×#6129C2314yes—
295C2×#6129C2314yes—
296C2×#6129C2314yes—
297C2×#6129C2314yes—
298C2×#6129C2314yes—
299C2×#6129C2314yes—
300C2×#6129C2314yes—
301C2×D4×D13C2314yes—
302C2×D4×D13C2312yes—
303C2×#6127C2311yescharacteristic
304C2×#6127C2312yes—
305C22×D52C2311yescharacteristic
306C22×C4×D13C2312yes—
307C22×C4×D13C2314yes—
308C22×Dic26C2312yes—
309C22×Dic26C2311yescharacteristic
310C22×Dic26C2314yes—
311C13×#127C2314yes—
312C13×#127C2312yes—
313C13×#126C2314yes—
314C13×#126C2314yes—
315C13×#125C2312yes—
316C13×#124C2314yes—
317C13×#123C2312yes—
318C13×#123C2314yes—
319C13×#123C2314yes—
320C13×#123C2314yes—
321C13×#123C2314yes—
322C13×C22⋊Q8C2311yescharacteristic
323C13×C22⋊Q8C2311yescharacteristic
324C13×#121C2312yes—
325C13×#121C2312yes—
326C13×#121C2312yes—
327C13×#121C2312yes—
328C13×#121C2311yescharacteristic
329C13×#121C2314yes—
330C13×#121C2311yescharacteristic
331C13×#121C2312yes—
332C13×#121C2314yes—
333C13×#121C2312yes—
334C13×#121C2312yes—
335C13×#121C2312yes—
336C13×#121C2312yes—
337C13×#121C2314yes—
338C13×#121C2314yes—
339C13×#121C2314yes—
340C13×#121C2312yes—
341C13×#121C2314yes—
342C13×#120C2312yes—
343C13×#120C2314yes—
344C13×#120C2314yes—
345C13×#120C2314yes—
346C13×#120C2314yes—
347C13×#120C2314yes—
348C13×#120C2314yes—
349C4×D4×C13C2312yes—
350C4×D4×C13C2312yes—
351C4×D4×C13C2314yes—
352C4×D4×C13C2312yes—
353C4×D4×C13C2314yes—
354C4×D4×C13C2312yes—
355C13×#117C2311yescharacteristic
356C13×#117C2312yes—
357C2×C13×C4⋊C4C2311yescharacteristic
358C2×C13×C4⋊C4C2311yescharacteristic
359C2×C13×C22⋊C4C2312yes—
360C2×C13×C22⋊C4C2312yes—
361#88207C2314yes—
362#88207C2314yes—
363#88207C2312yes—
364#88207C2314yes—
365#88207C2314yes—
366#88207C2314yes—
367#88207C2314yes—
368C2×C22⋊Dic13C2312yes—
369C2×C22⋊Dic13C2312yes—
370C2×C22⋊Dic13C2312yes—
371C2×C22⋊Dic13C2314yes—
372C2×C22⋊Dic13C2312yes—
373C2×C22⋊Dic13C2312yes—
374C2×C22⋊Dic13C2314yes—
375C2×C22⋊Dic13C2314yes—
376#88201C2311yescharacteristic
377#88200C2314yes—
378Q8×Dic13C2311yescharacteristic
379Q8×Dic13C2311yescharacteristic
380#88198C2311yescharacteristic
381#88194C2312yes—
382#88194C2312yes—
383#88194C2314yes—
384#88194C2314yes—
385#88194C2312yes—
386#88194C2312yes—
387#88194C2312yes—
388#88194C2311yescharacteristic
389#88193C2314yes—
390#88193C2314yes—
391#88193C2314yes—
392#88193C2314yes—
393#88193C2312yes—
394#88193C2314yes—
395#88193C2314yes—
396#88193C2314yes—
397#88193C2314yes—
398#88193C2314yes—
399#88193C2312yes—
400#88193C2312yes—
401#88193C2314yes—
402#88193C2314yes—
403#88193C2314yes—
404#88193C2314yes—
405#88193C2314yes—
406#88193C2314yes—
407#88193C2314yes—
408#88193C2314yes—
409#88193C2314yes—
410#88193C2314yes—
411#88193C2314yes—
412#88193C2314yes—
413#88193C2314yes—
414#88193C2312yes—
415#88193C2314yes—
416#88192C2314yes—
417#88192C2314yes—
418#88192C2312yes—
419#88192C2312yes—
420#88192C2314yes—
421#88192C2314yes—
422#88192C2314yes—
423#88192C2314yes—
424#88192C2314yes—
425#88192C2314yes—
426#88192C2314yes—
427#88191C2314yes—
428#88191C2314yes—
429#88191C2314yes—
430#88191C2314yes—
431#88191C2314yes—
432#88191C2314yes—
433#88191C2314yes—
434#88191C2314yes—
435#88190C2312yes—
436#88190C2312yes—
437#88190C2312yes—
438#88190C2312yes—
439#88190C2312yes—
440#88190C2314yes—
441#88190C2314yes—
442#88190C2314yes—
443#88190C2314yes—
444#88190C2311yescharacteristic
445#88189C2314yes—
446#88189C2314yes—
447#88189C2314yes—
448#88189C2314yes—
449#88189C2314yes—
450#88189C2314yes—
451#88189C2314yes—
452#88189C2312yes—
453#88189C2312yes—
454#88189C2314yes—
455#88189C2314yes—
456#88189C2314yes—
457#88189C2314yes—
458#88189C2314yes—
459#88189C2314yes—
460D4×Dic13C2312yes—
461D4×Dic13C2314yes—
462D4×Dic13C2312yes—
463D4×Dic13C2312yes—
464D4×Dic13C2312yes—
465D4×Dic13C2314yes—
466D4×Dic13C2314yes—
467D4×Dic13C2314yes—
468D4×Dic13C2312yes—
469D4×Dic13C2312yes—
470D4×Dic13C2314yes—
471D4×Dic13C2312yes—
472D4×Dic13C2314yes—
473D4×Dic13C2312yes—
474D4×Dic13C2312yes—
475D4×Dic13C2312yes—
476D4×Dic13C2314yes—
477D4×Dic13C2312yes—
478D4×Dic13C2314yes—
479D4×Dic13C2314yes—
480D4×Dic13C2314yes—
481D4×Dic13C2312yes—
482D4×Dic13C2314yes—
483D4×Dic13C2312yes—
484D4×Dic13C2314yes—
485D4×Dic13C2314yes—
486D4×Dic13C2311yescharacteristic
487D4×Dic13C2312yes—
488D4×Dic13C2311yescharacteristic
489#88184C2311yescharacteristic
490#88184C2312yes—
491#88184C2314yes—
492#88184C2311yescharacteristic
493#88184C2312yes—
494#88184C2312yes—
495#88184C2312yes—
496#88184C2312yes—
497#88184C2314yes—
498#88183C2312yes—
499#88183C2314yes—
500#88183C2314yes—
501#88183C2314yes—
502#88183C2314yes—
503C4×C22⋊D13C2314yes—
504C4×C22⋊D13C2314yes—
505C4×C22⋊D13C2312yes—
506C4×C22⋊D13C2312yes—
507C4×C22⋊D13C2312yes—
508C4×C22⋊D13C2312yes—
509C4×C22⋊D13C2314yes—
510C4×C22⋊D13C2314yes—
511C4×C22⋊D13C2314yes—
512C4×C22⋊D13C2314yes—
513C2×#6103C2312yes—
514C2×#6103C2312yes—
515#88180C2311yescharacteristic
516#88180C2312yes—
517C2×C4⋊Dic13C2312yes—
518C2×C4⋊Dic13C2311yescharacteristic
519C2×C4⋊Dic13C2311yescharacteristic
520C2×C4⋊Dic13C2312yes—
521C2×C4⋊Dic13C2314yes—
522#88178C2311yescharacteristic
523#88178C2312yes—
524#88178C2314yes—
525#88178C2311yescharacteristic
526#88178C2312yes—
527#88178C2312yes—
528#88178C2312yes—
529#88178C2312yes—
530#88178C2314yes—
531#88178C2314yes—
532#88178C2314yes—
533C2×#6101C2312yes—
534C2×#6101C2312yes—
535C2×#6101C2312yes—
536C2×#6101C2312yes—
537C2×C4×Dic13C2311yescharacteristic
538C2×C4×Dic13C2312yes—
539C2×C4×Dic13C2311yescharacteristic
540C2×C4×Dic13C2311yescharacteristic
541C2×C4×Dic13C2311yescharacteristic
542C2×C4×Dic13C2311yescharacteristic
543C2×C4×Dic13C2311yescharacteristic
544C2×C4×Dic13C2311yescharacteristic
545C2×C4×Dic13C2311yescharacteristic
546C2×C4×Dic13C2311yescharacteristic
547C2×C4×Dic13C2311yescharacteristic
548C2×C4×Dic13C2312yes—
549C2×C4×Dic13C2311yescharacteristic
550C2×C4×Dic13C2311yescharacteristic
551C2×C4×Dic13C2314yes—
552#88152C2314yes—
553#88152C2314yes—
554#88152C2312yes—
555#88152C2312yes—
556#88152C2314yes—
557#88151C2312yes—
558#88151C2314yes—
559#88151C2314yes—
560#88151C2314yes—
561#88150C2314yes—
562#88150C2314yes—
563#88150C2314yes—
564#88150C2314yes—
565#88150C2314yes—
566#88150C2314yes—
567#88149C2312yes—
568#88148C2314yes—
569#88148C2314yes—
570#88148C2314yes—
571#88147C2312yes—
572#88147C2312yes—
573#88147C2312yes—
574#88147C2312yes—
575#88147C2312yes—
576#88147C2311yescharacteristic
577#88147C2311yescharacteristic
578#88147C2314yes—
579#88146C2312yes—
580#88146C2312yes—
581#88146C2314yes—
582#88146C2312yes—
583C4⋊C4×D13C2312yes—
584C4⋊C4×D13C2314yes—
585#88144C2312yes—
586#88144C2312yes—
587#88144C2312yes—
588#88144C2312yes—
589#88144C2312yes—
590#88144C2311yescharacteristic
591#88144C2311yescharacteristic
592#88144C2314yes—
593#88143C2314yes—
594#88143C2312yes—
595#88143C2312yes—
596#88143C2314yes—
597#88143C2314yes—
598#88143C2314yes—
599#88142C2312yes—
600#88142C2312yes—
601#88142C2312yes—
602#88142C2312yes—
603#88142C2312yes—
604#88142C2311yescharacteristic
605#88142C2311yescharacteristic
606#88142C2314yes—
607#88142C2314yes—
608#88141C2312yes—
609#88141C2312yes—
610#88141C2312yes—
611#88141C2312yes—
612#88141C2312yes—
613#88141C2311yescharacteristic
614#88141C2311yescharacteristic
615#88141C2312yes—
616#88141C2314yes—
617#88141C2312yes—
618#88140C2314yes—
619#88140C2314yes—
620#88140C2312yes—
621#88140C2312yes—
622#88140C2314yes—
623#88140C2314yes—
624#88140C2314yes—
625#88140C2314yes—
626#88139C2314yes—
627#88139C2314yes—
628#88139C2314yes—
629#88139C2314yes—
630#88139C2314yes—
631#88139C2314yes—
632#88139C2314yes—
633#88139C2314yes—
634#88139C2312yes—
635#88139C2312yes—
636#88139C2314yes—
637#88139C2314yes—
638#88139C2314yes—
639#88139C2314yes—
640#88139C2314yes—
641#88138C2314yes—
642#88138C2314yes—
643#88138C2314yes—
644#88138C2314yes—
645#88138C2314yes—
646#88138C2314yes—
647#88137C2314yes—
648#88137C2314yes—
649#88137C2314yes—
650#88137C2314yes—
651#88137C2314yes—
652#88137C2314yes—
653#88137C2314yes—
654#88137C2314yes—
655#88137C2314yes—
656#88137C2314yes—
657#88136C2314yes—
658#88136C2314yes—
659#88135C2314yes—
660#88135C2314yes—
661#88135C2314yes—
662#88135C2314yes—
663#88135C2314yes—
664#88135C2312yes—
665#88135C2312yes—
666#88135C2314yes—
667#88135C2312yes—
668#88135C2314yes—
669#88135C2312yes—
670#88135C2314yes—
671#88135C2312yes—
672#88135C2312yes—
673#88135C2314yes—
674#88135C2314yes—
675#88135C2314yes—
676C22⋊C4×D13C2314yes—
677C22⋊C4×D13C2314yes—
678C22⋊C4×D13C2314yes—
679#88133C2314yes—
680#88133C2314yes—
681#88133C2314yes—
682#88133C2314yes—
683#88133C2314yes—
684#88133C2314yes—
685#88133C2314yes—
686#88133C2312yes—
687#88133C2312yes—
688#88133C2314yes—
689#88133C2314yes—
690#88133C2314yes—
691#88133C2314yes—
692#88132C2314yes—
693#88132C2314yes—
694#88132C2314yes—
695#88132C2314yes—
696#88132C2312yes—
697#88132C2312yes—
698#88132C2314yes—
699#88132C2314yes—
700#88132C2312yes—
701#88132C2314yes—
702#88132C2314yes—
703#88132C2314yes—
704#88132C2314yes—
705#88132C2314yes—
706#88132C2312yes—
707#88132C2314yes—
708#88132C2314yes—
709#88132C2314yes—
710#88131C2314yes—
711#88131C2314yes—
712#88131C2314yes—
713#88131C2314yes—
714#88131C2312yes—
715#88131C2312yes—
716#88131C2314yes—
717#88131C2312yes—
718#88131C2312yes—
719#88131C2314yes—
720#88130C2314yes—
721#88130C2314yes—
722#88129C2312yes—
723C4×D52C2314yes—
724C4×D52C2312yes—
725#88126C2314yes—
726#88126C2312yes—
727C42×D13C2312yes—
728C42×D13C2314yes—
729#88124C2314yes—
730#88123C2314yes—
731#88123C2312yes—
732C4×Dic26C2312yes—
733C4×Dic26C2312yes—
734C4×Dic26C2314yes—
735C4×Dic26C2312yes—
736#62748—131nomaximal, Sylow
737C24×C13C2411yescharacteristic
738C24×C13C2412yes—
739C24×C13C2412yes—
740C24×C13C2414yes—
741C23×D13C2412yes—
742C23×D13C2414yes—
743C13×#41—42no—
744C2×Q8×C13C2411yescharacteristic
745C2×D4×C13—42no—
746C2×D4×C13—42no—
747C2×D4×C13—44no—
748C2×D4×C13—44no—
749C2×D4×C13—48no—
750C2×D4×C13—44no—
751C2×D4×C13—48no—
752C2×D4×C13C2414yes—
753C2×D4×C13C2412yes—
754C2×D4×C13C2412yes—
755C2×D4×C13C2412yes—
756C2×D4×C13C2412yes—
757C2×D4×C13C2414yes—
758C2×D4×C13C2414yes—
759C2×D4×C13C2412yes—
760C2×D4×C13C2414yes—
761C2×D4×C13C2414yes—
762C2×D4×C13C2412yes—
763C2×D4×C13C2414yes—
764C2×D4×C13C2411yescharacteristic
765C2×D4×C13C2412yes—
766C2×D4×C13C2414yes—
767C2×D4×C13C2414yes—
768C2×D4×C13C2414yes—
769C22×C4×C13—42no—
770C22×C4×C13C2411yescharacteristic
771C22×C4×C13C2411yescharacteristic
772C22×C4×C13C2411yescharacteristic
773C22×C4×C13C2412yes—
774C22×C4×C13C2411yescharacteristic
775C22×C4×C13C2411yescharacteristic
776C22×C4×C13C2411yescharacteristic
777C22×C4×C13C2412yes—
778C22×C4×C13C2414yes—
779C22×C4×C13C2412yes—
780C22×C4×C13C2414yes—
781C2×C22⋊D13—44no—
782C2×C22⋊D13—48no—
783C2×C22⋊D13—44no—
784C2×C22⋊D13—44no—
785C2×C22⋊D13—48no—
786C2×C22⋊D13C2412yes—
787C2×C22⋊D13C2414yes—
788C2×C22⋊D13C2412yes—
789C2×C22⋊D13C2412yes—
790C2×C22⋊D13C2414yes—
791C2×C22⋊D13C2414yes—
792C2×C22⋊D13C2414yes—
793C2×C22⋊D13C2414yes—
794C2×C22⋊D13C2412yes—
795C2×C22⋊D13C2414yes—
796C2×C22⋊D13C2414yes—
797C2×C22⋊D13C2414yes—
798C2×C22⋊D13C2412yes—
799C2×C22⋊D13C2414yes—
800C2×C22⋊D13C2414yes—
801C2×C22⋊D13C2414yes—
802C2×C22⋊D13C2414yes—
803C2×C22⋊D13C2414yes—
804C2×C22⋊D13C2414yes—
805C22×Dic13—24no—
806C22×Dic13—28no—
807C22×Dic13—44no—
808C22×Dic13—48no—
809C22×Dic13—42no—
810C22×Dic13C2414yes—
811C22×Dic13C2414yes—
812C22×Dic13C2411yescharacteristic
813C22×Dic13C2414yes—
814C22×Dic13C2412yes—
815C22×Dic13C2411yescharacteristic
816C22×Dic13C2411yescharacteristic
817C22×Dic13C2411yescharacteristic
818C22×Dic13C2411yescharacteristic
819C22×Dic13C2411yescharacteristic
820C22×Dic13C2411yescharacteristic
821C22×Dic13C2412yes—
822C22×Dic13C2414yes—
823C22×Dic13C2412yes—
824C22×Dic13C2414yes—
825C22×Dic13C2414yes—
826C22×Dic13C2414yes—
827C22×Dic13C2411yescharacteristic
828C22×Dic13C2411yescharacteristic
829C22×Dic13C2412yes—
830C22×Dic13C2414yes—
831C22×Dic13C2411yescharacteristic
832C22×Dic13C2411yescharacteristic
833C22×Dic13C2412yes—
834C22×Dic13C2411yescharacteristic
835#6129—216no—
836#6129—28no—
837#6129—44no—
838#6129—48no—
839#6129—48no—
840#6129—48no—
841#6129—48no—
842#6129—48no—
843#6129—48no—
844#6129—48no—
845#6129—48no—
846#6129—48no—
847#6129—44no—
848D4×D13—44no—
849D4×D13—48no—
850#6127—44no—
851#6127—42no—
852C2×D52—42no—
853C2×D52C2412yes—
854C2×D52C2414yes—
855C2×D52C2411yescharacteristic
856C2×D52C2412yes—
857C2×C4×D13—44no—
858C2×C4×D13—48no—
859C2×C4×D13C2412yes—
860C2×C4×D13C2412yes—
861C2×C4×D13C2414yes—
862C2×C4×D13C2414yes—
863C2×C4×D13C2412yes—
864C2×C4×D13C2414yes—
865C2×C4×D13C2414yes—
866C2×C4×D13C2414yes—
867C2×C4×D13C2414yes—
868C2×Dic26—44no—
869C2×Dic26—48no—
870C2×Dic26—42no—
871C2×Dic26C2412yes—
872C2×Dic26C2412yes—
873C2×Dic26C2414yes—
874C2×Dic26C2412yes—
875C2×Dic26C2414yes—
876C2×Dic26C2414yes—
877C2×Dic26C2414yes—
878C2×Dic26C2411yescharacteristic
879C2×Dic26C2412yes—
880C13×C4⋊C4C2412yes—
881C13×C4⋊C4C2412yes—
882C13×C4⋊C4C2412yes—
883C13×C4⋊C4C2411yescharacteristic
884C13×C4⋊C4C2411yescharacteristic
885C13×C4⋊C4C2414yes—
886C13×C4⋊C4C2412yes—
887C13×C4⋊C4C2412yes—
888C13×C4⋊C4C2412yes—
889C13×C4⋊C4C2414yes—
890C13×C22⋊C4C2414yes—
891C13×C22⋊C4C2414yes—
892C13×C22⋊C4C2412yes—
893C13×C22⋊C4C2412yes—
894C13×C22⋊C4C2414yes—
895C13×C22⋊C4C2412yes—
896C13×C22⋊C4C2414yes—
897C13×C22⋊C4C2412yes—
898C13×C22⋊C4C2414yes—
899C13×C22⋊C4C2414yes—
900C13×C22⋊C4C2414yes—
901C13×C22⋊C4C2414yes—
902C13×C22⋊C4C2412yes—
903C13×C22⋊C4C2414yes—
904C42×C13C2412yes—
905C42×C13C2414yes—
906C22⋊Dic13C2414yes—
907C22⋊Dic13C2414yes—
908C22⋊Dic13C2412yes—
909C22⋊Dic13C2412yes—
910C22⋊Dic13C2412yes—
911C22⋊Dic13C2412yes—
912C22⋊Dic13C2414yes—
913C22⋊Dic13C2414yes—
914C22⋊Dic13C2414yes—
915C22⋊Dic13C2412yes—
916C22⋊Dic13C2412yes—
917C22⋊Dic13C2414yes—
918C22⋊Dic13C2412yes—
919C22⋊Dic13C2414yes—
920C22⋊Dic13C2414yes—
921C22⋊Dic13C2414yes—
922C22⋊Dic13C2414yes—
923C22⋊Dic13C2414yes—
924C22⋊Dic13C2414yes—
925C22⋊Dic13C2414yes—
926C22⋊Dic13C2414yes—
927C22⋊Dic13C2414yes—
928C22⋊Dic13C2414yes—
929C22⋊Dic13C2414yes—
930#6103C2414yes—
931#6103C2414yes—
932#6103C2412yes—
933#6103C2412yes—
934#6103C2412yes—
935#6103C2414yes—
936#6103C2414yes—
937#6103C2414yes—
938#6103C2414yes—
939#6103C2412yes—
940#6103C2414yes—
941#6103C2414yes—
942#6103C2414yes—
943#6103C2414yes—
944#6103C2414yes—
945#6103C2414yes—
946#6103C2412yes—
947#6103C2412yes—
948C4⋊Dic13C2412yes—
949C4⋊Dic13C2414yes—
950C4⋊Dic13C2412yes—
951C4⋊Dic13C2412yes—
952C4⋊Dic13C2412yes—
953C4⋊Dic13C2414yes—
954C4⋊Dic13C2412yes—
955C4⋊Dic13C2414yes—
956C4⋊Dic13C2414yes—
957C4⋊Dic13C2414yes—
958C4⋊Dic13C2412yes—
959C4⋊Dic13C2414yes—
960C4⋊Dic13C2411yescharacteristic
961C4⋊Dic13C2412yes—
962C4⋊Dic13C2412yes—
963C4⋊Dic13C2411yescharacteristic
964#6101C2412yes—
965#6101C2414yes—
966#6101C2412yes—
967#6101C2412yes—
968#6101C2412yes—
969#6101C2412yes—
970#6101C2414yes—
971#6101C2414yes—
972#6101C2414yes—
973#6101C2414yes—
974#6101C2414yes—
975#6101C2414yes—
976#6101C2414yes—
977#6101C2412yes—
978#6101C2412yes—
979#6101C2412yes—
980#6101C2414yes—
981#6101C2414yes—
982#6101C2414yes—
983#6101C2414yes—
984#6101C2414yes—
985#6101C2414yes—
986#6101C2412yes—
987#6101C2412yes—
988C4×Dic13C2411yescharacteristic
989C4×Dic13C2412yes—
990C4×Dic13C2411yescharacteristic
991C4×Dic13C2414yes—
992C4×Dic13C2414yes—
993C4×Dic13C2414yes—
994C4×Dic13C2412yes—
995C4×Dic13C2411yescharacteristic
996C4×Dic13C2412yes—
997C4×Dic13C2414yes—
998C4×Dic13C2412yes—
999C4×Dic13C2414yes—
1000C4×Dic13C2412yes—
1001C4×Dic13C2411yescharacteristic
1002C4×Dic13C2411yescharacteristic
1003C4×Dic13C2411yescharacteristic
1004C4×Dic13C2411yescharacteristic
1005C4×Dic13C2411yescharacteristic
1006C4×Dic13C2411yescharacteristic
1007C4×Dic13C2411yescharacteristic
1008C4×Dic13C2411yescharacteristic
1009C4×Dic13C2411yescharacteristic
1010C4×Dic13C2411yescharacteristic
1011C4×Dic13C2411yescharacteristic
1012C4×Dic13C2411yescharacteristic
1013C4×Dic13C2411yescharacteristic
1014#3562—134no—
1015#3561—132no—
1016#3560—132no—
1017#3560—132no—
1018#3559—132no—
1019#3558—132no—
1020#3558—132no—
1021#3554—132no—
1022#3552—132no—
1023#3546—132no—
1024#3543—132no—
1025#3537—131no—
1026#3537D1311yescharacteristic, complemented
1027#3536—131no—
1028#3536—131no—
1029#3534—134no—
1030#3529—134no—
1031#3481—132no—
1032#3481—132no—
1033#3480—132no—
1034D4×#41—134no—
1035D4×#41—132no—
1036#3460—132no—
1037#3460—132no—
1038#3459—132no—
1039#3459—132no—
1040#3455—132no—
1041#3449—132no—
1042#3444—131no—
1043C2×#532—131no—
1044C2×#529—131no—
1045C23×C13—22no—
1046C23×C13—22no—
1047C23×C13—24no—
1048C23×C13—24no—
1049C23×C13—41no—
1050C23×C13—42no—
1051C23×C13—44no—
1052C23×C13—42no—
1053C23×C13—42no—
1054C23×C13—42no—
1055C23×C13—44no—
1056C23×C13—44no—
1057C23×C13C2514yes—
1058C23×C13C2512yes—
1059C23×C13C2514yes—
1060C23×C13C2511yescharacteristic
1061C23×C13C2511yescharacteristic
1062C23×C13C2511yescharacteristic
1063C22×D13—24no—
1064C22×D13—42no—
1065C22×D13—44no—
1066C22×D13—42no—
1067C22×D13—44no—
1068C22×D13—44no—
1069C22×D13C2512yes—
1070C22×D13C2514yes—
1071Q8×C13—41no—
1072D4×C13—28no—
1073D4×C13—24no—
1074D4×C13—28no—
1075D4×C13—24no—
1076D4×C13—24no—
1077D4×C13—24no—
1078D4×C13—44no—
1079D4×C13—44no—
1080D4×C13—44no—
1081D4×C13—42no—
1082D4×C13—44no—
1083D4×C13—44no—
1084D4×C13—44no—
1085D4×C13—44no—
1086D4×C13—42no—
1087D4×C13—41no—
1088D4×C13—42no—
1089C2×C4×C13—22no—
1090C2×C4×C13—22no—
1091C2×C4×C13—22no—
1092C2×C4×C13—24no—
1093C2×C4×C13—42no—
1094C2×C4×C13—44no—
1095C2×C4×C13—41no—
1096C2×C4×C13—41no—
1097C2×C4×C13—41no—
1098C2×C4×C13—44no—
1099C2×C4×C13—42no—
1100C2×C4×C13C2511yescharacteristic
1101C2×C4×C13C2511yescharacteristic
1102C2×C4×C13C2511yescharacteristic
1103C2×C4×C13C2514yes—
1104C2×C4×C13C2512yes—
1105C2×C4×C13C2512yes—
1106C2×C4×C13C2512yes—
1107C2×C4×C13C2514yes—
1108C2×C4×C13C2511yescharacteristic
1109C22⋊D13—28no—
1110C22⋊D13—24no—
1111C22⋊D13—24no—
1112C22⋊D13—24no—
1113C22⋊D13—28no—
1114C22⋊D13—44no—
1115C22⋊D13—42no—
1116C22⋊D13—44no—
1117C22⋊D13—44no—
1118C22⋊D13—44no—
1119C22⋊D13—44no—
1120C22⋊D13—44no—
1121C22⋊D13—44no—
1122C22⋊D13—44no—
1123C22⋊D13—44no—
1124C22⋊D13—44no—
1125C22⋊D13—42no—
1126C22⋊D13—44no—
1127C22⋊D13—44no—
1128C2×Dic13—22no—
1129C2×Dic13—24no—
1130C2×Dic13—22no—
1131C2×Dic13—22no—
1132C2×Dic13—22no—
1133C2×Dic13—28no—
1134C2×Dic13—22no—
1135C2×Dic13—28no—
1136C2×Dic13—24no—
1137C2×Dic13—28no—
1138C2×Dic13—22no—
1139C2×Dic13—22no—
1140C2×Dic13—42no—
1141C2×Dic13—44no—
1142C2×Dic13—42no—
1143C2×Dic13—44no—
1144C2×Dic13—44no—
1145C2×Dic13—44no—
1146C2×Dic13—44no—
1147C2×Dic13—42no—
1148C2×Dic13—41no—
1149C2×Dic13—41no—
1150C2×Dic13—41no—
1151C2×Dic13—41no—
1152C2×Dic13H(5,𝔽2)14yes—
1153C2×Dic13C2511yescharacteristic
1154C2×Dic13C2511yescharacteristic
1155C2×Dic13C2511yescharacteristic
1156C2×Dic13C2512yes—
1157C2×Dic13C2511yescharacteristic
1158C2×Dic13C2512yes—
1159C2×Dic13C2514yes—
1160C2×Dic13C2511yescharacteristic
1161C2×Dic13C2511yescharacteristic
1162C2×Dic13C2512yes—
1163C2×Dic13C2514yes—
1164C2×Dic13C2514yes—
1165C2×Dic13C2511yescharacteristic
1166C2×Dic13C2511yescharacteristic
1167D52—24no—
1168D52—42no—
1169D52—41no—
1170D52—44no—
1171C4×D13—24no—
1172C4×D13—28no—
1173C4×D13—24no—
1174C4×D13—44no—
1175C4×D13—44no—
1176C4×D13—44no—
1177C4×D13—44no—
1178C4×D13—44no—
1179C4×D13—42no—
1180Dic26—24no—
1181Dic26—28no—
1182Dic26—24no—
1183Dic26—42no—
1184Dic26—44no—
1185Dic26—44no—
1186Dic26—44no—
1187Dic26—41no—
1188Dic26—42no—
1189C22×#41—132no—
1190C22×#41—134no—
1191#563—134no—
1192#563—134no—
1193#563—134no—
1194#562—134no—
1195#562—134no—
1196#562—134no—
1197#562—134no—
1198#562—134no—
1199#562—134no—
1200H(3,𝔽4)—134no—
1201#560—134no—
1202#560—134no—
1203#560—134no—
1204#560—134no—
1205#560—134no—
1206#560C2×D1314yescomplemented
1207#559—132no—
1208#559—134no—
1209#559—132no—
1210#559—132no—
1211#557—132no—
1212#556—134no—
1213#556—132no—
1214#554—132no—
1215#554—132no—
1216#554—132no—
1217#554—132no—
1218#553—134no—
1219#553—134no—
1220#553—132no—
1221#553—132no—
1222#553—134no—
1223#553—134no—
1224#553—132no—
1225#553—132no—
1226#553C2×D1312yescomplemented
1227#553C2×D1312yescomplemented
1228#551—134no—
1229#551—134no—
1230#551—134no—
1231#551—134no—
1232#550—132no—
1233#550—134no—
1234#550—132no—
1235D4×Q8—132no—
1236D4×Q8—134no—
1237#548—134no—
1238#548—134no—
1239#548—134no—
1240#548—132no—
1241#548—132no—
1242#547—132no—
1243#547—132no—
1244#547—134no—
1245#547—134no—
1246#547—132no—
1247#547—134no—
1248#546—134no—
1249#546—134no—
1250#546—134no—
1251#546—134no—
1252#546—132no—
1253#546—132no—
1254#546—134no—
1255#546—132no—
1256#546—134no—
1257#546—134no—
1258#546—134no—
1259#546—134no—
1260#546—134no—
1261#546—134no—
1262#546—132no—
1263D42—134no—
1264D42—132no—
1265D42—132no—
1266D42—134no—
1267D42—132no—
1268D42C2×D1314yescomplemented
1269D42C2×D1312yescomplemented
1270D42C2×D1312yescomplemented
1271#544—132no—
1272#544—132no—
1273#543—132no—
1274#543—132no—
1275#542—134no—
1276#542—134no—
1277#542—134no—
1278#542—134no—
1279#542—132no—
1280#542—132no—
1281#542—132no—
1282#542—132no—
1283#541—134no—
1284#540—134no—
1285#540—134no—
1286#540—134no—
1287#540—132no—
1288#540—132no—
1289#540—132no—
1290#540C2×D1312yescomplemented
1291#539—134no—
1292#539—134no—
1293#539—134no—
1294#539—134no—
1295#539—132no—
1296#539—132no—
1297#539—134no—
1298#539—134no—
1299#539—134no—
1300#538—134no—
1301#538—134no—
1302#538—134no—
1303#538—132no—
1304#538—132no—
1305#538—134no—
1306#538—134no—
1307#538—134no—
1308#538—134no—
1309#538—134no—
1310#538—134no—
1311#538—132no—
1312#538—132no—
1313#538C2×D1312yescomplemented
1314#538C2×D1312yescomplemented
1315#537—132no—
1316#537—134no—
1317#537—132no—
1318#537—132no—
1319#537—132no—
1320#536—134no—
1321#536—134no—
1322#535—132no—
1323#535—132no—
1324#535—132no—
1325#535—134no—
1326#535—134no—
1327#535C2×D1312yescomplemented
1328#534—134no—
1329#534—134no—
1330#534—132no—
1331#534—134no—
1332#534—132no—
1333#534C2×D1312yescomplemented
1334#534C2×D1312yescomplemented
1335#533—131no—
1336#533—131no—
1337#533—131no—
1338#532—131no—
1339#532—132no—
1340#532—134no—
1341#532—132no—
1342#532—132no—
1343#532—132no—
1344#532—132no—
1345#532—132no—
1346#532—132no—
1347#532—132no—
1348#532—132no—
1349#532—131no—
1350#532—131no—
1351#532—134no—
1352#532—132no—
1353#532—134no—
1354C2×C4⋊Q8—131no—
1355C2×#127—131no—
1356#529—134no—
1357#529—134no—
1358#529—132no—
1359#529—134no—
1360#529—132no—
1361#529—132no—
1362#529—134no—
1363#529—134no—
1364#529—131no—
1365#529—131no—
1366#529—132no—
1367#529—132no—
1368#529—132no—
1369#529—132no—
1370#529—132no—
1371#529—132no—
1372#529—132no—
1373#529—132no—
1374#529—131no—
1375#529—131no—
1376#529—134no—
1377#529—132no—
1378#529—132no—
1379#529—132no—
1380C2×#126—132no—
1381C2×#125—131no—
1382C2×#124—131no—
1383C2×#124—132no—
1384#525—131no—
1385#525—134no—
1386#525—134no—
1387#525—134no—
1388#525—134no—
1389#525—134no—
1390#525—132no—
1391#525—132no—
1392#525—134no—
1393#525—134no—
1394#525—134no—
1395#525—134no—
1396#525—134no—
1397#525—134no—
1398#525C2×D1311yescharacteristic, complemented
1399C2×#123—132no—
1400C2×C22⋊Q8—131no—
1401C2×#121—132no—
1402C2×#121—131no—
1403C2×#121C2×D1311yescharacteristic
1404C2×#121C2×D1311yescharacteristic, complemented
1405C4×#41—131no—
1406C4×#41—132no—
1407C4×#41—132no—
1408C4×#41—134no—
1409C4×#41—132no—
1410C4×#41—131no—
1411C4×#41—132no—
1412C2×C4×Q8—131no—
1413C2×C4×D4—132no—
1414C2×C4×D4—131no—
1415C2×C4×D4—131no—
1416C2×C4×D4—134no—
1417C2×C4×D4—132no—
1418C2×C4×D4—134no—
1419C2×C4×D4—132no—
1420C2×C4×D4—131no—
1421C2×C4×D4—132no—
1422C2×#117—132no—
1423C22×C42—131no—
1424C22×C13—21no—
1425C22×C13—21no—
1426C22×C13—21no—
1427C22×C13—21no—
1428C22×C13—24no—
1429C22×C13—21no—
1430C22×C13—22no—
1431C22×C13—24no—
1432C22×C13—21no—
1433C22×C13—22no—
1434C22×C13—24no—
1435C22×C13—21no—
1436C22×C13—22no—
1437C22×C13—24no—
1438C22×C13—24no—
1439C22×C13—24no—
1440C22×C13—44no—
1441C22×C13—84no—
1442C22×C13—84no—
1443C22×C13—88no—
1444C22×C13C2×H(5,𝔽2)12yes—
1445C22×C13#58512yes—
1446C22×C13C2611yescharacteristic
1447C2×D13—22no—
1448C2×D13—24no—
1449C2×D13—22no—
1450C2×D13—24no—
1451C2×D13—22no—
1452C2×D13—24no—
1453C2×D13—84no—
1454C2×D13—88no—
1455C4×C13—24no—
1456C4×C13—22no—
1457C4×C13—21no—
1458C4×C13—22no—
1459C4×C13—21no—
1460C4×C13—22no—
1461C4×C13—24no—
1462C4×C13—21no—
1463C4×C13#58512yes—
1464Dic13—24no—
1465Dic13—22no—
1466Dic13—21no—
1467Dic13—24no—
1468Dic13—21no—
1469Dic13—24no—
1470Dic13—21no—
1471Dic13—22no—
1472Dic13—22no—
1473Dic13—21no—
1474Dic13—21no—
1475Dic13—21no—
1476Dic13C2×H(5,𝔽2)12yes—
1477Dic13C2×H(5,𝔽2)12yes—
1478C2×#41—132no—
1479C2×#41—134no—
1480C2×#41—132no—
1481C2×#41—132no—
1482C2×#41—134no—
1483C2×#41—134no—
1484C2×#41—134no—
1485C2×#41—134no—
1486C2×#41—134no—
1487C2×#41—134no—
1488C2×#41—134no—
1489C2×#41—134no—
1490C2×#41—134no—
1491C2×#41—131no—
1492C2×#41—132no—
1493C2×#41—528no—
1494C2×#41—5216no—
1495C2×#41C22×D1311yescharacteristic
1496C22×Q8—131no—
1497C22×Q8—132no—
1498C22×Q8—134no—
1499C22×D4—132no—
1500C22×D4—132no—
1501C22×D4—132no—
1502C22×D4—134no—
1503C22×D4—134no—
1504C22×D4—134no—
1505C22×D4—132no—
1506C22×D4—131no—
1507C22×D4C22×D1312yes—
1508C22×D4C22×D1311yescharacteristic
1509C22×D4C22×D1311yescharacteristic
1510C22×D4C22×D1314yes—
1511C22×D4C22×D1312yes—
1512C22×D4C22×D1312yes—
1513C22×D4C22×D1314yes—
1514C23×C4—132no—
1515C23×C4—131no—
1516C23×C4—132no—
1517C23×C4—134no—
1518C23×C4—131no—
1519C23×C4—132no—
1520C23×C4—134no—
1521C23×C4C22×D1311yescharacteristic
1522C4⋊Q8—131no—
1523C4⋊Q8—132no—
1524C4⋊Q8—132no—
1525C4⋊Q8—132no—
1526C4⋊Q8—132no—
1527C4⋊Q8—131no—
1528C4⋊Q8—131no—
1529C4⋊Q8—134no—
1530C4⋊Q8—132no—
1531C4⋊Q8—134no—
1532C4⋊Q8—132no—
1533C4⋊Q8—134no—
1534#127—132no—
1535#127—132no—
1536#127—132no—
1537#127—132no—
1538#127—131no—
1539#127—134no—
1540#127—132no—
1541#127—134no—
1542#127C22×D1312yes—
1543#127C22×D1314yes—
1544#126—132no—
1545#126—132no—
1546#126—134no—
1547#126—134no—
1548#126—134no—
1549#126—134no—
1550#126—134no—
1551#126—134no—
1552#126—134no—
1553#126—132no—
1554#126—132no—
1555#126—134no—
1556#126—134no—
1557#126—134no—
1558#126—134no—
1559#126—134no—
1560#126—134no—
1561#126—134no—
1562#126—134no—
1563#126—134no—
1564#126C22×D1314yes—
1565#126C22×D1314yes—
1566#125—132no—
1567#125—132no—
1568#125—132no—
1569#125—132no—
1570#125—131no—
1571#125—131no—
1572#125—132no—
1573#125—132no—
1574#125—134no—
1575#125—134no—
1576#125—134no—
1577#125—134no—
1578#125—134no—
1579#125—132no—
1580#125—134no—
1581#125C22×D1312yes—
1582#124—131no—
1583#124—132no—
1584#124—132no—
1585#124—132no—
1586#124—132no—
1587#124—131no—
1588#124—132no—
1589#124—134no—
1590#124—134no—
1591#124—134no—
1592#124—134no—
1593#124—134no—
1594#124—134no—
1595#124—134no—
1596#124—134no—
1597#124—132no—
1598#124—132no—
1599#124—134no—
1600#124—134no—
1601#124—134no—
1602#124—134no—
1603#124—134no—
1604#124—134no—
1605#124—134no—
1606#124—134no—
1607#124—134no—
1608#124—132no—
1609#124C22×D1314yes—
1610#123—134no—
1611#123—134no—
1612#123—134no—
1613#123—134no—
1614#123—132no—
1615#123—132no—
1616#123—134no—
1617#123—134no—
1618#123—134no—
1619#123—134no—
1620#123—134no—
1621#123—134no—
1622#123—134no—
1623#123—134no—
1624#123—134no—
1625#123—132no—
1626#123—134no—
1627#123—134no—
1628#123—134no—
1629#123—134no—
1630#123—134no—
1631#123—134no—
1632#123—134no—
1633#123—132no—
1634#123—132no—
1635#123—134no—
1636#123—134no—
1637#123—134no—
1638#123—134no—
1639#123—134no—
1640#123—134no—
1641#123—134no—
1642#123—134no—
1643#123—134no—
1644#123—134no—
1645#123—134no—
1646#123—134no—
1647#123—134no—
1648#123—134no—
1649#123—134no—
1650#123—134no—
1651#123C22×D1314yes—
1652#123C22×D1314yes—
1653#123C22×D1312yes—
1654#123C22×D1314yes—
1655#123C22×D1314yes—
1656C22⋊Q8—134no—
1657C22⋊Q8—132no—
1658C22⋊Q8—132no—
1659C22⋊Q8—132no—
1660C22⋊Q8—132no—
1661C22⋊Q8—131no—
1662C22⋊Q8—131no—
1663C22⋊Q8—134no—
1664C22⋊Q8—134no—
1665C22⋊Q8—134no—
1666C22⋊Q8—132no—
1667C22⋊Q8—134no—
1668C22⋊Q8—134no—
1669C22⋊Q8—134no—
1670C22⋊Q8—134no—
1671C22⋊Q8—134no—
1672C22⋊Q8—134no—
1673C22⋊Q8—134no—
1674C22⋊Q8—134no—
1675C22⋊Q8—132no—
1676C22⋊Q8—134no—
1677C22⋊Q8—134no—
1678C22⋊Q8—132no—
1679C22⋊Q8—132no—
1680C22⋊Q8—132no—
1681C22⋊Q8—132no—
1682C22⋊Q8—134no—
1683C22⋊Q8—134no—
1684C22⋊Q8—134no—
1685C22⋊Q8—134no—
1686C22⋊Q8—134no—
1687C22⋊Q8—134no—
1688C22⋊Q8—134no—
1689C22⋊Q8—134no—
1690C22⋊Q8—134no—
1691C22⋊Q8—134no—
1692C22⋊Q8—134no—
1693C22⋊Q8—134no—
1694C22⋊Q8—134no—
1695C22⋊Q8—134no—
1696C22⋊Q8C22×D1311yescharacteristic
1697C22⋊Q8C22×D1311yescharacteristic
1698#121—134no—
1699#121—134no—
1700#121—134no—
1701#121—134no—
1702#121—132no—
1703#121—132no—
1704#121—132no—
1705#121—132no—
1706#121—134no—
1707#121—134no—
1708#121—134no—
1709#121—134no—
1710#121—134no—
1711#121—134no—
1712#121—134no—
1713#121—134no—
1714#121—134no—
1715#121—134no—
1716#121—134no—
1717#121—134no—
1718#121—134no—
1719#121—134no—
1720#121—134no—
1721#121—134no—
1722#121—134no—
1723#121—134no—
1724#121—134no—
1725#121—134no—
1726#121—132no—
1727#121—134no—
1728#121—134no—
1729#121—132no—
1730#121—134no—
1731#121—134no—
1732#121—134no—
1733#121—134no—
1734#121—134no—
1735#121—134no—
1736#121—132no—
1737#121—132no—
1738#121—132no—
1739#121—132no—
1740#121—131no—
1741#121—131no—
1742#121—134no—
1743#121—132no—
1744#121—134no—
1745#121—132no—
1746#121—134no—
1747#121—134no—
1748#121—134no—
1749#121—134no—
1750#121—134no—
1751#121—134no—
1752#121C22×D1312yes—
1753#121C22×D1312yes—
1754#121C22×D1312yes—
1755#121C22×D1312yes—
1756#121C22×D1312yes—
1757#121C22×D1312yes—
1758#121C22×D1312yes—
1759#121C22×D1312yes—
1760#121C22×D1314yes—
1761#121C22×D1314yes—
1762#121C22×D1314yes—
1763#121C22×D1311yescharacteristic
1764#121C22×D1311yescharacteristic
1765#121C22×D1312yes—
1766#121C22×D1314yes—
1767#121C22×D1314yes—
1768#121C22×D1312yes—
1769#121C22×D1314yes—
1770#120—132no—
1771#120—134no—
1772#120—134no—
1773#120—134no—
1774#120—134no—
1775#120—134no—
1776#120—134no—
1777#120—134no—
1778#120—134no—
1779#120—134no—
1780#120—134no—
1781#120—134no—
1782#120—134no—
1783#120—134no—
1784#120—134no—
1785#120—134no—
1786#120—134no—
1787#120C22×D1312yes—
1788#120C22×D1314yes—
1789#120C22×D1314yes—
1790#120C22×D1314yes—
1791#120C22×D1314yes—
1792#120C22×D1314yes—
1793#120C22×D1314yes—
1794C4×Q8—131no—
1795C4×Q8—131no—
1796C4×Q8—132no—
1797C4×Q8—132no—
1798C4×Q8—132no—
1799C4×Q8—132no—
1800C4×Q8—131no—
1801C4×Q8—132no—
1802C4×Q8—131no—
1803C4×Q8—132no—
1804C4×Q8—134no—
1805C4×Q8—132no—
1806C4×Q8—132no—
1807C4×Q8—132no—
1808C4×Q8—134no—
1809C4×Q8—132no—
1810C4×D4—134no—
1811C4×D4—132no—
1812C4×D4—132no—
1813C4×D4—132no—
1814C4×D4—132no—
1815C4×D4—134no—
1816C4×D4—134no—
1817C4×D4—134no—
1818C4×D4—134no—
1819C4×D4—132no—
1820C4×D4—134no—
1821C4×D4—132no—
1822C4×D4—132no—
1823C4×D4—134no—
1824C4×D4—132no—
1825C4×D4—132no—
1826C4×D4—134no—
1827C4×D4—134no—
1828C4×D4—134no—
1829C4×D4—134no—
1830C4×D4—132no—
1831C4×D4—132no—
1832C4×D4—134no—
1833C4×D4—131no—
1834C4×D4—132no—
1835C4×D4—132no—
1836C4×D4—132no—
1837C4×D4—131no—
1838C4×D4—134no—
1839C4×D4—134no—
1840C4×D4—134no—
1841C4×D4—134no—
1842C4×D4—132no—
1843C4×D4—132no—
1844C4×D4—132no—
1845C4×D4—132no—
1846C4×D4—134no—
1847C4×D4—134no—
1848C4×D4—134no—
1849C4×D4—132no—
1850C4×D4—134no—
1851C4×D4—132no—
1852C4×D4—132no—
1853C4×D4—132no—
1854C4×D4—131no—
1855C4×D4—131no—
1856C4×D4—132no—
1857C4×D4—132no—
1858C4×D4—134no—
1859C4×D4—134no—
1860C4×D4—134no—
1861C4×D4—134no—
1862C4×D4—134no—
1863C4×D4—134no—
1864C4×D4—132no—
1865C4×D4—134no—
1866C4×D4—134no—
1867C4×D4—132no—
1868C4×D4—132no—
1869C4×D4—132no—
1870C4×D4—132no—
1871C4×D4—134no—
1872C4×D4—134no—
1873C4×D4—134no—
1874C4×D4—134no—
1875C4×D4—132no—
1876C4×D4C22×D1314yes—
1877C4×D4C22×D1312yes—
1878C4×D4C22×D1312yes—
1879C4×D4C22×D1312yes—
1880C4×D4C22×D1314yes—
1881C4×D4C22×D1312yes—
1882#117—131no—
1883#117—132no—
1884#117—134no—
1885#117—132no—
1886#117—132no—
1887#117—132no—
1888#117—134no—
1889#117—134no—
1890#117—134no—
1891#117—134no—
1892#117—132no—
1893#117—132no—
1894#117—134no—
1895#117—132no—
1896#117—132no—
1897#117—134no—
1898#117—132no—
1899#117—134no—
1900#117C22×D1311yescharacteristic
1901#117C22×D1312yes—
1902C2×C4⋊C4—132no—
1903C2×C4⋊C4—132no—
1904C2×C4⋊C4—132no—
1905C2×C4⋊C4—131no—
1906C2×C4⋊C4—131no—
1907C2×C4⋊C4—132no—
1908C2×C4⋊C4—132no—
1909C2×C4⋊C4—134no—
1910C2×C4⋊C4—132no—
1911C2×C4⋊C4—132no—
1912C2×C4⋊C4—134no—
1913C2×C4⋊C4C22×D1311yescharacteristic
1914C2×C4⋊C4C22×D1311yescharacteristic
1915C2×C22⋊C4—132no—
1916C2×C22⋊C4—132no—
1917C2×C22⋊C4—132no—
1918C2×C22⋊C4—132no—
1919C2×C22⋊C4—132no—
1920C2×C22⋊C4—134no—
1921C2×C22⋊C4—134no—
1922C2×C22⋊C4—134no—
1923C2×C22⋊C4—132no—
1924C2×C22⋊C4—132no—
1925C2×C22⋊C4—134no—
1926C2×C22⋊C4—134no—
1927C2×C22⋊C4—134no—
1928C2×C22⋊C4C22×D1312yes—
1929C2×C22⋊C4C22×D1312yes—
1930C2×C42—131no—
1931C2×C42—132no—
1932C2×C42—131no—
1933C2×C42—131no—
1934C2×C42—131no—
1935C2×C42—132no—
1936C2×C42—134no—
1937C2×C42—131no—
1938C2×C42—131no—
1939C2×C42—131no—
1940C2×C42—131no—
1941C2×C42—131no—
1942C2×C42—131no—
1943C2×C42—131no—
1944C2×C42—131no—
1945C2×C42—132no—
1946C2×C42—134no—
1947C2×C13—22no—
1948C2×C13—22no—
1949C2×C13—44no—
1950C2×C13—41no—
1951C2×C13—42no—
1952C2×C13—44no—
1953C2×C13C22×H(5,𝔽2)11yescharacteristic
1954C2×C13C2×#58511yescharacteristic
1955C2×C13C2×#58511yescharacteristic
1956D13—42no—
1957D13—44no—
1958C24—132no—
1959C24—134no—
1960C24C23×D1311yescharacteristic
1961C24C23×D1312yes—
1962C24C23×D1312yes—
1963C24C23×D1314yes—
1964#41—42no—
1965#41—268no—
1966#41—2616no—
1967#41—522no—
1968#41—524no—
1969#41—528no—
1970#41—528no—
1971#41—528no—
1972#41—528no—
1973#41—528no—
1974#41—528no—
1975#41—524no—
1976#41—524no—
1977#41—528no—
1978#41—528no—
1979#41—528no—
1980C2×Q8—132no—
1981C2×Q8—132no—
1982C2×Q8—134no—
1983C2×Q8—132no—
1984C2×Q8—132no—
1985C2×Q8—131no—
1986C2×Q8—134no—
1987C2×Q8—134no—
1988C2×Q8—134no—
1989C2×Q8—522no—
1990C2×Q8—524no—
1991C2×Q8—528no—
1992C2×Q8C23×D1311yescharacteristic
1993C2×D4—42no—
1994C2×D4—42no—
1995C2×D4—44no—
1996C2×D4—44no—
1997C2×D4—48no—
1998C2×D4—44no—
1999C2×D4—48no—
2000C2×D4—132no—
2001C2×D4—132no—
2002C2×D4—134no—
2003C2×D4—132no—
2004C2×D4—134no—
2005C2×D4—132no—
2006C2×D4—134no—
2007C2×D4—134no—
2008C2×D4—134no—
2009C2×D4—134no—
2010C2×D4—132no—
2011C2×D4—134no—
2012C2×D4—134no—
2013C2×D4—134no—
2014C2×D4—134no—
2015C2×D4—134no—
2016C2×D4—134no—
2017C2×D4—134no—
2018C2×D4—134no—
2019C2×D4—132no—
2020C2×D4—131no—
2021C2×D4—132no—
2022C2×D4—134no—
2023C2×D4—522no—
2024C2×D4—524no—
2025C2×D4—524no—
2026C2×D4—528no—
2027C2×D4—524no—
2028C2×D4—528no—
2029C2×D4—524no—
2030C2×D4—528no—
2031C2×D4C23×D1312yes—
2032C2×D4C23×D1314yes—
2033C2×D4C23×D1312yes—
2034C2×D4C23×D1312yes—
2035C2×D4C23×D1312yes—
2036C2×D4C23×D1314yes—
2037C2×D4C23×D1312yes—
2038C2×D4C23×D1314yes—
2039C2×D4C23×D1314yes—
2040C2×D4C23×D1314yes—
2041C2×D4C23×D1311yescharacteristic
2042C2×D4C23×D1312yes—
2043C2×D4C23×D1314yes—
2044C2×D4C23×D1312yes—
2045C2×D4C23×D1314yes—
2046C2×D4C23×D1314yes—
2047C2×D4C23×D1314yes—
2048C22×C4—42no—
2049C22×C4—131no—
2050C22×C4—131no—
2051C22×C4—131no—
2052C22×C4—131no—
2053C22×C4—131no—
2054C22×C4—131no—
2055C22×C4—131no—
2056C22×C4—131no—
2057C22×C4—132no—
2058C22×C4—134no—
2059C22×C4—132no—
2060C22×C4—134no—
2061C22×C4—134no—
2062C22×C4—131no—
2063C22×C4—131no—
2064C22×C4—131no—
2065C22×C4—131no—
2066C22×C4—132no—
2067C22×C4—132no—
2068C22×C4—134no—
2069C22×C4—132no—
2070C22×C4—134no—
2071C22×C4—134no—
2072C22×C4—134no—
2073C22×C4—134no—
2074C22×C4—132no—
2075C22×C4—132no—
2076C22×C4—134no—
2077C22×C4—132no—
2078C22×C4—134no—
2079C22×C4—134no—
2080C22×C4—134no—
2081C22×C4—134no—
2082C22×C4—134no—
2083C22×C4—264no—
2084C22×C4—268no—
2085C22×C4—524no—
2086C22×C4—528no—
2087C22×C4—524no—
2088C22×C4—528no—
2089C22×C4—522no—
2090C22×C4C23×D1311yescharacteristic
2091C22×C4C23×D1311yescharacteristic
2092C22×C4C23×D1311yescharacteristic
2093C22×C4C23×D1312yes—
2094C22×C4C23×D1311yescharacteristic
2095C22×C4C23×D1311yescharacteristic
2096C22×C4C23×D1311yescharacteristic
2097C22×C4C23×D1312yes—
2098C22×C4C23×D1314yes—
2099C22×C4C23×D1312yes—
2100C22×C4C23×D1314yes—
2101C4⋊C4—132no—
2102C4⋊C4—134no—
2103C4⋊C4—132no—
2104C4⋊C4—132no—
2105C4⋊C4—132no—
2106C4⋊C4—134no—
2107C4⋊C4—134no—
2108C4⋊C4—134no—
2109C4⋊C4—134no—
2110C4⋊C4—134no—
2111C4⋊C4—134no—
2112C4⋊C4—134no—
2113C4⋊C4—134no—
2114C4⋊C4—132no—
2115C4⋊C4—134no—
2116C4⋊C4—134no—
2117C4⋊C4—134no—
2118C4⋊C4—134no—
2119C4⋊C4—134no—
2120C4⋊C4—132no—
2121C4⋊C4—134no—
2122C4⋊C4—132no—
2123C4⋊C4—132no—
2124C4⋊C4—134no—
2125C4⋊C4—132no—
2126C4⋊C4—134no—
2127C4⋊C4—134no—
2128C4⋊C4—132no—
2129C4⋊C4—132no—
2130C4⋊C4—132no—
2131C4⋊C4—132no—
2132C4⋊C4—132no—
2133C4⋊C4—132no—
2134C4⋊C4—132no—
2135C4⋊C4—132no—
2136C4⋊C4—134no—
2137C4⋊C4—134no—
2138C4⋊C4—131no—
2139C4⋊C4—132no—
2140C4⋊C4—131no—
2141C4⋊C4C23×D1312yes—
2142C4⋊C4C23×D1314yes—
2143C4⋊C4C23×D1312yes—
2144C4⋊C4C23×D1312yes—
2145C4⋊C4C23×D1312yes—
2146C4⋊C4C23×D1312yes—
2147C4⋊C4C23×D1314yes—
2148C4⋊C4C23×D1312yes—
2149C4⋊C4C23×D1311yescharacteristic
2150C4⋊C4C23×D1311yescharacteristic
2151C22⋊C4—134no—
2152C22⋊C4—134no—
2153C22⋊C4—134no—
2154C22⋊C4—132no—
2155C22⋊C4—132no—
2156C22⋊C4—134no—
2157C22⋊C4—134no—
2158C22⋊C4—134no—
2159C22⋊C4—134no—
2160C22⋊C4—134no—
2161C22⋊C4—134no—
2162C22⋊C4—134no—
2163C22⋊C4—134no—
2164C22⋊C4—134no—
2165C22⋊C4—134no—
2166C22⋊C4—134no—
2167C22⋊C4—134no—
2168C22⋊C4—134no—
2169C22⋊C4—132no—
2170C22⋊C4—132no—
2171C22⋊C4—132no—
2172C22⋊C4—132no—
2173C22⋊C4—134no—
2174C22⋊C4—132no—
2175C22⋊C4—132no—
2176C22⋊C4—134no—
2177C22⋊C4—134no—
2178C22⋊C4—134no—
2179C22⋊C4—134no—
2180C22⋊C4—134no—
2181C22⋊C4—134no—
2182C22⋊C4—134no—
2183C22⋊C4—134no—
2184C22⋊C4—132no—
2185C22⋊C4—132no—
2186C22⋊C4—134no—
2187C22⋊C4—134no—
2188C22⋊C4—132no—
2189C22⋊C4—134no—
2190C22⋊C4—132no—
2191C22⋊C4—134no—
2192C22⋊C4—132no—
2193C22⋊C4C23×D1312yes—
2194C22⋊C4C23×D1314yes—
2195C22⋊C4C23×D1314yes—
2196C22⋊C4C23×D1314yes—
2197C22⋊C4C23×D1314yes—
2198C22⋊C4C23×D1314yes—
2199C22⋊C4C23×D1314yes—
2200C22⋊C4C23×D1312yes—
2201C22⋊C4C23×D1312yes—
2202C22⋊C4C23×D1314yes—
2203C22⋊C4C23×D1314yes—
2204C22⋊C4C23×D1312yes—
2205C22⋊C4C23×D1314yes—
2206C22⋊C4C23×D1312yes—
2207C42—131no—
2208C42—131no—
2209C42—134no—
2210C42—132no—
2211C42—132no—
2212C42—131no—
2213C42—131no—
2214C42—131no—
2215C42—131no—
2216C42—131no—
2217C42—131no—
2218C42—131no—
2219C42—131no—
2220C42—131no—
2221C42—131no—
2222C42—131no—
2223C42—131no—
2224C42—131no—
2225C42—131no—
2226C42—132no—
2227C42—132no—
2228C42—132no—
2229C42—134no—
2230C42—134no—
2231C42—134no—
2232C42—134no—
2233C42C23×D1312yes—
2234C42C23×D1314yes—
2235C13#6274811yescharacteristic, complemented, Sylow
2236C23—22no—
2237C23—22no—
2238C23—24no—
2239C23—24no—
2240C23—41no—
2241C23—42no—
2242C23—44no—
2243C23—42no—
2244C23—42no—
2245C23—42no—
2246C23—44no—
2247C23—44no—
2248C23—132no—
2249C23—134no—
2250C23—264no—
2251C23—522no—
2252C23—524no—
2253C23—522no—
2254C23—524no—
2255C23—524no—
2256C23C24×D1314yes—
2257C23C24×D1312yes—
2258C23C24×D1314yes—
2259C23C24×D1311yescharacteristic
2260C23C24×D1311yescharacteristic
2261C23C24×D1311yescharacteristic
2262Q8—41no—
2263Q8—264no—
2264Q8—268no—
2265Q8—264no—
2266Q8—522no—
2267Q8—524no—
2268Q8—524no—
2269Q8—524no—
2270Q8—521no—
2271Q8—522no—
2272D4—28no—
2273D4—24no—
2274D4—28no—
2275D4—24no—
2276D4—24no—
2277D4—24no—
2278D4—42no—
2279D4—42no—
2280D4—44no—
2281D4—44no—
2282D4—44no—
2283D4—44no—
2284D4—44no—
2285D4—44no—
2286D4—44no—
2287D4—41no—
2288D4—42no—
2289D4—264no—
2290D4—268no—
2291D4—264no—
2292D4—268no—
2293D4—264no—
2294D4—264no—
2295D4—522no—
2296D4—524no—
2297D4—521no—
2298D4—524no—
2299D4—524no—
2300D4—524no—
2301D4—524no—
2302D4—524no—
2303D4—524no—
2304D4—524no—
2305D4—524no—
2306D4—524no—
2307D4—524no—
2308D4—522no—
2309D4—522no—
2310D4—524no—
2311D4—524no—
2312C2×C4—22no—
2313C2×C4—22no—
2314C2×C4—22no—
2315C2×C4—24no—
2316C2×C4—41no—
2317C2×C4—41no—
2318C2×C4—41no—
2319C2×C4—42no—
2320C2×C4—44no—
2321C2×C4—42no—
2322C2×C4—44no—
2323C2×C4—134no—
2324C2×C4—131no—
2325C2×C4—131no—
2326C2×C4—131no—
2327C2×C4—131no—
2328C2×C4—134no—
2329C2×C4—132no—
2330C2×C4—132no—
2331C2×C4—131no—
2332C2×C4—131no—
2333C2×C4—131no—
2334C2×C4—131no—
2335C2×C4—132no—
2336C2×C4—134no—
2337C2×C4—134no—
2338C2×C4—264no—
2339C2×C4—268no—
2340C2×C4—262no—
2341C2×C4—268no—
2342C2×C4—262no—
2343C2×C4—268no—
2344C2×C4—262no—
2345C2×C4—262no—
2346C2×C4—264no—
2347C2×C4—268no—
2348C2×C4—262no—
2349C2×C4—264no—
2350C2×C4—262no—
2351C2×C4—262no—
2352C2×C4—264no—
2353C2×C4—524no—
2354C2×C4—524no—
2355C2×C4—524no—
2356C2×C4—524no—
2357C2×C4—524no—
2358C2×C4—522no—
2359C2×C4—521no—
2360C2×C4—521no—
2361C2×C4—521no—
2362C2×C4—521no—
2363C2×C4—522no—
2364C2×C4—524no—
2365C2×C4—524no—
2366C2×C4—524no—
2367C2×C4—524no—
2368C2×C4—522no—
2369C2×C4—522no—
2370C2×C4—524no—
2371C2×C4C24×D1311yescharacteristic
2372C2×C4C24×D1311yescharacteristic
2373C2×C4C24×D1311yescharacteristic
2374C2×C4C24×D1312yes—
2375C2×C4C24×D1314yes—
2376C2×C4C24×D1312yes—
2377C2×C4C24×D1312yes—
2378C2×C4C24×D1314yes—
2379C2×C4C24×D1311yescharacteristic
2380C22—21no—
2381C22—21no—
2382C22—21no—
2383C22—21no—
2384C22—24no—
2385C22—21no—
2386C22—22no—
2387C22—24no—
2388C22—21no—
2389C22—22no—
2390C22—24no—
2391C22—21no—
2392C22—22no—
2393C22—24no—
2394C22—24no—
2395C22—24no—
2396C22—44no—
2397C22—84no—
2398C22—84no—
2399C22—88no—
2400C22—262no—
2401C22—264no—
2402C22—262no—
2403C22—262no—
2404C22—264no—
2405C22—264no—
2406C22—1044no—
2407C22—1048no—
2408C22D13×H(5,𝔽2)12yes—
2409C22#1171965012yes—
2410C22C25×D1311yescharacteristic
2411C4—24no—
2412C4—22no—
2413C4—21no—
2414C4—21no—
2415C4—21no—
2416C4—22no—
2417C4—24no—
2418C4—22no—
2419C4—132no—
2420C4—132no—
2421C4—261no—
2422C4—264no—
2423C4—261no—
2424C4—262no—
2425C4—264no—
2426C4—261no—
2427C4—261no—
2428C4—261no—
2429C4—262no—
2430C4—261no—
2431C4—262no—
2432C4—264no—
2433C4#1171965012yes—
2434C2—22no—
2435C2—22no—
2436C2—41no—
2437C2—44no—
2438C2—42no—
2439C2—44no—
2440C2—522no—
2441C2—524no—
2442C2C2×D13×H(5,𝔽2)11yescharacteristic
2443C2C2×#1171965011yescharacteristic
2444C2C2×#1171965011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D13
commutator, socle, cosocleC22×C13C26
FittingC13×#3537C2
hypercenter#3537D13
hypocenterC13#62748
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #3537

Complements

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

NH ≅ G/Ntype
1. #13129413C2semidirect
2. #13129396C2semidirect
3. #13129390C2semidirect
4. #13129378C2semidirect
5. #13129368C2semidirect
6. #13129350C2semidirect
7. #13129348C2semidirect
8. #13129297C2semidirect
9. #13129275C2semidirect
10. #13129206C2semidirect
11. #13129161C2semidirect
12. #13129071C2semidirect
13. #13129063C2semidirect
14. #13129058C2semidirect
15. #13129014C2semidirect
16. #13128971C2semidirect
17. #13128443C2semidirect
18. #13128437C2semidirect
19. #13128430C2semidirect
20. D4×#6129C2semidirect
21. D4×#6129C2semidirect
22. #13128251C2semidirect
23. #13128249C2semidirect
24. #13128247C2semidirect
25. #13128242C2semidirect
26. #13128218C2semidirect
27. #13128162C2semidirect
28. #13128128C2semidirect
29. C2×#11719301C2semidirect
30. C2×#11719305C2semidirect
31. C13×#3537C2semidirect
32. C22×#6129C22semidirect
33. C22×#6129C22semidirect
34. C13×#560C22semidirect
35. C13×#553C22semidirect
36. C13×#553C22semidirect
37. D42×C13C22semidirect
38. D42×C13C22semidirect
39. D42×C13C22semidirect
40. C13×#540C22semidirect
41. C13×#538C22semidirect
42. C13×#538C22semidirect
43. C13×#535C22semidirect
44. C13×#534C22semidirect
45. C13×#534C22semidirect
46. C13×#525C22semidirect
48. C2×C13×#121C22semidirect
49. #11719538C22semidirect
50. #11719537C22semidirect
51. #41×Dic13C22semidirect
52. #11719511C22semidirect
53. #11719511C22semidirect
54. #11719511C22semidirect
55. #11719511C22semidirect
56. #11719511C22semidirect
57. #11719511C22semidirect
58. #11719510C22semidirect
59. #11719509C22semidirect
60. #11719509C22semidirect
61. C2×#88194C22semidirect
62. C2×#88193C22semidirect
63. D4×C22⋊D13C22semidirect
64. D4×C22⋊D13C22semidirect
65. D4×C22⋊D13C22semidirect
66. D4×C22⋊D13C22semidirect
67. C2×#88190C22semidirect
68. C2×#88189C22semidirect
69. C2×D4×Dic13C22semidirect
70. C2×D4×Dic13C22semidirect
71. C2×D4×Dic13C22semidirect
72. C2×D4×Dic13C22semidirect
73. C2×D4×Dic13C22semidirect
74. #11719496C22semidirect
75. C2×#88184C22semidirect
76. C2×#88178C22semidirect
77. C22×C4×Dic13C22semidirect
78. #11719425C22semidirect
79. #11719424C22semidirect
80. #11719423C22semidirect
81. #11719423C22semidirect
82. #11719421C22semidirect
83. #11719421C22semidirect
84. #11719420C22semidirect
85. #11719418C22semidirect
86. #11719417C22semidirect
87. #11719417C22semidirect
88. #11719412C22semidirect
89. #11719411C22semidirect
90. #11719411C22semidirect
91. #11719410C22semidirect
92. #11719407C22semidirect
93. #11719406C22semidirect
94. #11719396C22semidirect
95. #11719395C22semidirect
96. #11719394C22semidirect
97. #11719390C22semidirect
98. #11719387C22semidirect
99. #11719385C22semidirect
100. #11719383C22semidirect
101. #11719374C22semidirect
102. #11719372C22semidirect
103. #11719372C22semidirect
104. #11719370C22semidirect
105. #11719370C22semidirect
106. #11719369C22semidirect
107. #11719367C22semidirect
108. #11719367C22semidirect
109. #11719366C22semidirect
110. #11719365C22semidirect
111. #11719362C22semidirect
112. #11719361C22semidirect
113. #11719361C22semidirect
114. #11719356C22semidirect
115. #11719354C22semidirect
116. #11719354C22semidirect
117. #11719354C22semidirect
118. #11719354C22semidirect
119. #11719353C22semidirect
120. #11719353C22semidirect
121. #11719350C22semidirect
122. #11719339C22semidirect
123. #11719329C22semidirect
124. #11719329C22semidirect
125. #11719327C22semidirect
126. #11719327C22semidirect
127. #11719326C22semidirect
128. #11719326C22semidirect
129. #11719326C22semidirect
130. #11719326C22semidirect
131. #11719325C22semidirect
132. #11719325C22semidirect
133. #11719324C22semidirect
134. #11719324C22semidirect
135. #11719323C22semidirect
136. #11719323C22semidirect
137. #11719323C22semidirect
138. #11719322C22semidirect
139. #11719322C22semidirect
140. #11719320C22semidirect
141. #11719320C22semidirect
142. #11719318C22semidirect
143. #11719318C22semidirect
144. #11719317C22semidirect
145. #11719316C22semidirect
146. #11719316C22semidirect
147. #11719316C22semidirect
148. #11719316C22semidirect
149. #11719315C22semidirect
150. #11719314C22semidirect
151. #11719313C22semidirect
152. #11719312C22semidirect
153. #11719311C22semidirect
154. #11719311C22semidirect
155. #11719311C22semidirect
156. #11719310C22semidirect
157. #11719308C22semidirect
158. #11719308C22semidirect
159. #11719307C22semidirect
160. #11719307C22semidirect
161. #11719306C22semidirect
162. #11719305C22semidirect
163. #11719305C22semidirect
164. #11719305C22semidirect
165. #11719305C22semidirect
166. #11719305C22semidirect
167. #11719305C22semidirect
168. #11719305C22semidirect
169. #11719305C22semidirect
170. #11719305C22semidirect
171. #11719305C22semidirect
172. #11719305C22semidirect
173. #11719305C22semidirect
174. #11719304C22semidirect
175. #11719303C22semidirect
176. #11719303C22semidirect
177. #11719303C22semidirect
178. #11719303C22semidirect
179. #11719302C22semidirect
180. #11719302C22semidirect
181. #11719302C22semidirect
182. #11719301C22semidirect
183. #11719301C22semidirect
184. #11719301C22semidirect
185. #11719301C22semidirect
186. #11719301C22semidirect
187. #11719301C22semidirect
188. #11719301C22semidirect
189. #11719301C22semidirect
190. #11719301C22semidirect
191. #11719301C22semidirect
192. #11719301C22semidirect
193. #11719301C22semidirect
194. #11719301C22semidirect
195. #11719300C22semidirect
196. #11719300C22semidirect
197. #11719299C22semidirect
198. #11719298C22semidirect
199. #11719298C22semidirect
200. #11719298C22semidirect
201. #11719298C22semidirect
202. #11719298C22semidirect
203. #11719297C22semidirect
204. #11719297C22semidirect
205. #11719296C22semidirect
206. #11719296C22semidirect
207. #11719296C22semidirect
208. #11719296C22semidirect
209. #11719296C22semidirect
210. #11719296C22semidirect
211. #11719294C22semidirect
212. #11719292C22semidirect
213. #11719292C22semidirect
214. #11719291C22semidirect
215. #11719291C22semidirect
216. #11719291C22semidirect
217. #11719291C22semidirect
218. #11719291C22semidirect
219. #11719291C22semidirect
220. #11719291C22semidirect
221. #11719291C22semidirect
222. #11719269C22semidirect
223. #11719269C22semidirect
224. #11719267C22semidirect
225. #11719266C22semidirect
226. #11719264C22semidirect
227. #11719264C22semidirect
228. #11719261C22semidirect
229. #11719260C22semidirect
230. #11719260C22semidirect
231. #11719257C22semidirect
232. #11719255C22semidirect
233. C4×D4×D13C22semidirect
234. C4×D4×D13C22semidirect
235. #11719248C22semidirect
236. #11719248C22semidirect
237. #11719245C22semidirect
238. #11719243C22semidirect
239. #11719243C22semidirect
240. D4×Dic26C22semidirect
241. D4×Dic26C22semidirect
242. C4×#6129C22semidirect
243. C4×#6129C22semidirect
244. C4×#6129C22semidirect
245. C4×#6129C22semidirect
246. #11719239C22semidirect
247. #11719238C22semidirect
248. #11719235C22semidirect
249. #11719227C22semidirect
250. #11719227C22semidirect
251. #11719224C22semidirect
252. #11719222C22semidirect
253. #11719219C22semidirect
254. #11719216C22semidirect
255. C2×#88147C22semidirect
256. C2×#88144C22semidirect
257. C2×#88142C22semidirect
258. C2×#88141C22semidirect
259. #11719199C22semidirect
260. #11719199C22semidirect
261. #11719198C22semidirect
262. C2×#88139C22semidirect
263. C2×#88135C22semidirect
264. #11719188C22semidirect
265. C2×#88133C22semidirect
266. C2×#88131C22semidirect
1026. #3537D13semidirect
1206. #560C2×D13semidirect
1226. #553C2×D13semidirect
1227. #553C2×D13semidirect
1268. D42C2×D13semidirect
1269. D42C2×D13semidirect
1270. D42C2×D13semidirect
1290. #540C2×D13semidirect
1313. #538C2×D13semidirect
1314. #538C2×D13semidirect
1327. #535C2×D13semidirect
1333. #534C2×D13semidirect
1334. #534C2×D13semidirect
1398. #525C2×D13semidirect
1404. C2×#121C2×D13semidirect
2235. C13#62748semidirect

Maximal subgroups

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

subgroupindex
#131294132
#131293962
#131293902
#131293782
#131293682
#131293502
#131293482
#131292972
#131292752
#131292062
#131291612
#131290712
#131290632
#131290582
#131290142
#131289712
#131284432
#131284372
#131284302
D4×#61292
#131282512
#131282492
#131282472
#131282422
#131282182
#131281622
#131281282
C2×#117193012
C2×#117193052
C13×#35372
#6274813