Finite Group Databasebeta

← #16770590

Subgroups — #16770590

Order 3328.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129419C214yesmaximal, complemented
2#13129404C212yesmaximal, complemented
3#13129384C214yesmaximal, complemented
4#13129370C211yesmaximal, characteristic, complemented
5#13129359C211yesmaximal, characteristic, complemented
6#13129358C212yesmaximal, complemented
7#13129352C211yesmaximal, characteristic, complemented
8#13129299C212yesmaximal, complemented
9#13129276C212yesmaximal, complemented
10#13129207C212yesmaximal, complemented
11#13129165C212yesmaximal, complemented
12#13129072C212yesmaximal, complemented
13#13129059C212yesmaximal, complemented
14#13129031C212yesmaximal, complemented
15#13129015C212yesmaximal, complemented
16#13128977C212yesmaximal, complemented
17#13128973C212yesmaximal, complemented
18#13128447C212yesmaximal, complemented
19#13128443C212yesmaximal, complemented
20#13128430C212yesmaximal, complemented
21#13128323C214yesmaximal, complemented
22#13128323C212yesmaximal, complemented
23#13128259C212yesmaximal, complemented
24#13128251C212yesmaximal, complemented
25#13128244C214yesmaximal, complemented
26#13128222C212yesmaximal, complemented
27#13128164C212yesmaximal, complemented
28#13128130C211yesmaximal, characteristic, complemented
29D13×#532C211yesmaximal, characteristic, complemented
30C2×#11719396C211yesmaximal, characteristic, complemented
31C13×#3559C211yesmaximal, characteristic, complemented
32C2×#41×D13C2212yescomplemented
33C2×#41×D13C2214yescomplemented
34C13×#563C2212yescomplemented
35C13×#562C2212yescomplemented
36C13×#554C2212yescomplemented
37C13×#553C2212yescomplemented
38C13×#553C2212yescomplemented
39C13×#547C2212yescomplemented
40C13×#547C2214yescomplemented
41C13×#544C2212yescomplemented
42C13×#540C2212yescomplemented
43C13×#539C2212yescomplemented
44C13×#539C2214yescomplemented
45C13×#537C2212yescomplemented
46C13×#532C2211yescharacteristic, complemented
47C13×#529C2211yescharacteristic, complemented
48C2×C13×#125C2211yescharacteristic, complemented
49#11719538C2214yescomplemented
50#11719537C2212yescomplemented
51#11719534C2214yescomplemented
52#11719534C2214yescomplemented
53#11719534C2214yescomplemented
54#11719440C2214yescomplemented
55#11719438C2212yescomplemented
56#11719438C2212yescomplemented
57#11719438C2214yescomplemented
58#11719435C2212yescomplemented
59#11719432C2212yescomplemented
60#11719432C2214yescomplemented
61#11719430C2214yescomplemented
62#11719430C2211yescharacteristic, complemented
63#11719430C2212yescomplemented
64D13×C4⋊Q8C2211yescharacteristic, complemented
65#11719421C2211yescharacteristic, complemented
66#11719420C2212yescomplemented
67D13×#127C2211yescharacteristic, complemented
68#11719416C2214yescomplemented
69#11719416C2214yescomplemented
70#11719415C2214yescomplemented
71#11719411C2214yescomplemented
72#11719411C2214yescomplemented
73#11719411C2212yescomplemented
74#11719411C2212yescomplemented
75#11719410C2214yescomplemented
76#11719409C2214yescomplemented
77#11719409C2214yescomplemented
78#11719407C2214yescomplemented
79#11719405C2212yescomplemented
80#11719405C2212yescomplemented
81#11719404C2212yescomplemented
82#11719403C2214yescomplemented
83#11719403C2212yescomplemented
84#11719403C2212yescomplemented
85#11719401C2214yescomplemented
86#11719400C2212yescomplemented
87#11719400C2212yescomplemented
88#11719397C2214yescomplemented
89#11719397C2214yescomplemented
90#11719396C2212yescomplemented
91#11719396C2211yescharacteristic, complemented
92#11719396C2214yescomplemented
93#11719396C2212yescomplemented
94#11719396C2212yescomplemented
95#11719396C2212yescomplemented
96#11719396C2212yescomplemented
97#11719396C2212yescomplemented
98#11719396C2212yescomplemented
99#11719396C2212yescomplemented
100#11719396C2212yescomplemented
101#11719395C2212yescomplemented
102#11719394C2212yescomplemented
103#11719393C2211yescharacteristic, complemented
104#11719390C2212yescomplemented
105#11719389C2212yescomplemented
106#11719388C2212yescomplemented
107#11719388C2212yescomplemented
108#11719385C2211yescharacteristic, complemented
109D13×#124C2212yescomplemented
110#11719373C2212yescomplemented
111#11719373C2211yescharacteristic, complemented
112#11719372C2214yescomplemented
113#11719371C2214yescomplemented
114#11719371C2214yescomplemented
115#11719370C2214yescomplemented
116#11719369C2214yescomplemented
117#11719368C2214yescomplemented
118#11719367C2214yescomplemented
119#11719366C2214yescomplemented
120#11719362C2214yescomplemented
121#11719362C2214yescomplemented
122#11719362C2214yescomplemented
123#11719361C2214yescomplemented
124#11719361C2214yescomplemented
125#11719361C2214yescomplemented
126#11719361C2214yescomplemented
127#11719361C2212yescomplemented
128#11719359C2214yescomplemented
129#11719359C2214yescomplemented
130#11719359C2214yescomplemented
131#11719359C2214yescomplemented
132#11719359C2214yescomplemented
133#11719359C2214yescomplemented
134#11719358C2214yescomplemented
135#11719358C2214yescomplemented
136#11719354C2214yescomplemented
137#11719354C2214yescomplemented
138#11719354C2212yescomplemented
139#11719352C2214yescomplemented
140#11719352C2214yescomplemented
141#11719352C2214yescomplemented
142#11719351C2214yescomplemented
143#11719349C2212yescomplemented
144#11719349C2214yescomplemented
145#11719349C2214yescomplemented
146#11719345C2214yescomplemented
147#11719343C2214yescomplemented
148#11719343C2214yescomplemented
149#11719342C2214yescomplemented
150#11719342C2214yescomplemented
151#11719339C2214yescomplemented
152#11719338C2214yescomplemented
153#11719338C2214yescomplemented
154#11719338C2214yescomplemented
155#11719335C2214yescomplemented
156#11719333C2214yescomplemented
157#11719333C2214yescomplemented
158#11719332C2214yescomplemented
159#11719332C2214yescomplemented
160#11719332C2214yescomplemented
161#11719332C2214yescomplemented
162#11719332C2214yescomplemented
163#11719332C2211yescharacteristic, complemented
164#11719329C2214yescomplemented
165#11719327C2211yescharacteristic, complemented
166#11719325C2214yescomplemented
167#11719325C2214yescomplemented
168#11719322C2212yescomplemented
169#11719320C2214yescomplemented
170#11719318C2214yescomplemented
171#11719317C2212yescomplemented
172#11719315C2214yescomplemented
173#11719314C2214yescomplemented
174#11719314C2212yescomplemented
175#11719314C2212yescomplemented
176#11719314C2214yescomplemented
177#11719314C2212yescomplemented
178#11719313C2212yescomplemented
179#11719312C2212yescomplemented
180#11719312C2214yescomplemented
181#11719312C2214yescomplemented
182#11719311C2214yescomplemented
183#11719311C2214yescomplemented
184#11719311C2211yescharacteristic, complemented
185#11719310C2214yescomplemented
186#11719310C2212yescomplemented
187#11719310C2212yescomplemented
188#11719310C2214yescomplemented
189D13×#121C2212yescomplemented
190D13×#121C2212yescomplemented
191#11719306C2214yescomplemented
192#11719305C2212yescomplemented
193#11719304C2212yescomplemented
194#11719303C2212yescomplemented
195#11719301C2214yescomplemented
196#11719301C2212yescomplemented
197#11719301C2212yescomplemented
198#11719301C2212yescomplemented
199#11719301C2214yescomplemented
200#11719301C2211yescharacteristic, complemented
201#11719290C2212yescomplemented
202#11719283C2211yescharacteristic, complemented
203C4×#6131C2211yescharacteristic, complemented
204#11719267C2212yescomplemented
205#11719266C2212yescomplemented
206#11719265C2214yescomplemented
207#11719265C2214yescomplemented
208#11719265C2214yescomplemented
209#11719264C2212yescomplemented
210#11719264C2212yescomplemented
211#11719261C2214yescomplemented
212#11719259C2212yescomplemented
213#11719259C2212yescomplemented
214#11719258C2212yescomplemented
215#11719258C2214yescomplemented
216#11719257C2212yescomplemented
217#11719255C2212yescomplemented
218D4×D52C2214yescomplemented
219D4×D52C2212yescomplemented
220D4×D52C2212yescomplemented
221#11719253C2212yescomplemented
222#11719253C2212yescomplemented
223#11719253C2211yescharacteristic, complemented
224#11719252C2212yescomplemented
225C4×D4×D13C2212yescomplemented
226C4×D4×D13C2214yescomplemented
227C4×D4×D13C2212yescomplemented
228C4×D4×D13C2212yescomplemented
229#11719245C2214yescomplemented
230C4×#6129C2214yescomplemented
231C4×#6129C2212yescomplemented
232C4×#6129C2212yescomplemented
233C4×#6129C2211yescharacteristic, complemented
234#11719239C2212yescomplemented
235#11719238C2212yescomplemented
236#11719235C2212yescomplemented
237#11719233C2212yescomplemented
238#11719230C2212yescomplemented
239#11719230C2212yescomplemented
240#11719227C2212yescomplemented
241#11719227C2212yescomplemented
242#11719220C2212yescomplemented
243#11719220C2214yescomplemented
244#11719219C2212yescomplemented
245#11719219C2214yescomplemented
246C2×#88152C2212yescomplemented
247#11719216C2212yescomplemented
248#11719215C2212yescomplemented
249#11719215C2212yescomplemented
250C2×#88151C2211yescharacteristic, complemented
251#11719212C2212yescomplemented
252#11719212C2214yescomplemented
253#11719212C2212yescomplemented
254#11719212C2214yescomplemented
255C2×#88149C2211yescharacteristic
256C2×#88148C2212yescomplemented
257C2×#88147C2214yescomplemented
258C2×#88147C2212yescomplemented
259C2×#88147C2211yescharacteristic, complemented
260C2×#88147C2212yescomplemented
261C2×#88146C2212yescomplemented
262C2×#88141C2211yescharacteristic, complemented
263#11719184C2211yescharacteristic, complemented
264#11719182C2211yescharacteristic, complemented
265C2×#88129C2211yescharacteristic, complemented
266C2×C42×D13C2211yescharacteristic, complemented
267C2×C13×#41C2312yes—
268C2×C13×#41C2314yes—
269#41×D13—48no—
270#41×D13—416no—
271C2×#6131C2312yes—
272C2×#6131C2314yes—
273C2×#6131C2311yescharacteristic
274C2×Q8×D13C2312yes—
275C2×Q8×D13C2314yes—
276C2×#6129C2314yes—
277C2×#6129C2312yes—
278C2×#6129C2312yes—
279C2×#6129C2311yescharacteristic
280C2×#6129C2314yes—
281C2×#6129C2312yes—
282C2×D4×D13C2312yes—
283C2×D4×D13C2312yes—
284C2×D4×D13C2312yes—
285C2×D4×D13C2314yes—
286C2×D4×D13C2314yes—
287C2×D4×D13C2314yes—
288C2×D4×D13C2314yes—
289C2×D4×D13C2314yes—
290C2×D4×D13C2312yes—
291C2×#6127C2312yes—
292C2×#6127C2314yes—
293C2×#6127C2314yes—
294C2×#6127C2314yes—
295C2×#6127C2314yes—
296C2×#6127C2312yes—
297C2×#6127C2312yes—
298C22×D52C2311yescharacteristic
299C22×D52C2312yes—
300C22×D52C2312yes—
301C22×D52C2314yes—
302C22×C4×D13C2311yescharacteristic
303C22×C4×D13C2312yes—
304C22×C4×D13C2311yescharacteristic
305C22×C4×D13C2311yescharacteristic
306C22×C4×D13C2314yes—
307C22×C4×D13C2314yes—
308C22×C4×D13C2314yes—
309C22×Dic26C2311yescharacteristic
310C13×C4⋊Q8C2311yescharacteristic
311C13×C4⋊Q8C2312yes—
312C13×C4⋊Q8C2314yes—
313C13×#127C2311yescharacteristic
314C13×#126C2312yes—
315C13×#126C2314yes—
316C13×#126C2314yes—
317C13×#125C2312yes—
318C13×#125C2312yes—
319C13×#125C2312yes—
320C13×#125C2312yes—
321C13×#125C2311yescharacteristic
322C13×#125C2314yes—
323C13×#125C2312yes—
324C13×#124C2311yescharacteristic
325C13×#124C2312yes—
326C13×#123C2312yes—
327C13×#123C2314yes—
328C13×#123C2314yes—
329C13×#123C2314yes—
330C13×#123C2314yes—
331C13×#123C2314yes—
332C13×#123C2314yes—
333C13×C22⋊Q8C2311yescharacteristic
334C13×C22⋊Q8C2314yes—
335C13×C22⋊Q8C2314yes—
336C13×C22⋊Q8C2314yes—
337C13×C22⋊Q8C2314yes—
338C13×C22⋊Q8C2314yes—
339C13×C22⋊Q8C2314yes—
340C13×#121C2312yes—
341C13×#121C2314yes—
342C13×#121C2311yescharacteristic
343C13×#121C2312yes—
344C13×#121C2312yes—
345C13×#121C2314yes—
346C13×#121C2312yes—
347C13×#121C2314yes—
348C13×#121C2314yes—
349C4×Q8×C13C2311yescharacteristic
350C4×D4×C13C2314yes—
351C4×D4×C13C2312yes—
352C4×D4×C13C2311yescharacteristic
353C4×D4×C13C2312yes—
354C4×D4×C13C2312yes—
355C4×D4×C13C2312yes—
356C4×D4×C13C2312yes—
357C4×D4×C13C2314yes—
358C13×#117C2312yes—
359C13×#117C2312yes—
360C2×C13×C4⋊C4C2311yescharacteristic
361C2×C13×C4⋊C4C2312yes—
362C2×C13×C4⋊C4C2311yescharacteristic
363C2×C13×C4⋊C4C2312yes—
364C2×C13×C4⋊C4C2312yes—
365C2×C13×C4⋊C4C2314yes—
366C2×C42×C13C2311yescharacteristic
367#88201C2312yes—
368#88201C2314yes—
369#88201C2314yes—
370#88201C2314yes—
371#88201C2314yes—
372#88200C2314yes—
373#88200C2314yes—
374#88200C2314yes—
375#88200C2314yes—
376#88200C2314yes—
377#88200C2311yescharacteristic
378Q8×Dic13C2311yescharacteristic
379#88198C2312yes—
380#88198C2311yescharacteristic
381#88194C2312yes—
382#88194C2311yescharacteristic
383#88194C2312yes—
384#88194C2312yes—
385#88194C2314yes—
386#88194C2314yes—
387#88194C2312yes—
388#88193C2314yes—
389#88193C2314yes—
390#88193C2312yes—
391#88193C2314yes—
392#88193C2314yes—
393#88193C2314yes—
394#88193C2314yes—
395#88193C2314yes—
396#88193C2314yes—
397#88193C2314yes—
398#88192C2312yes—
399#88192C2312yes—
400#88192C2311yescharacteristic
401#88192C2314yes—
402#88192C2314yes—
403#88191C2312yes—
404#88191C2314yes—
405#88191C2314yes—
406#88191C2314yes—
407#88191C2314yes—
408#88191C2314yes—
409#88191C2314yes—
410#88191C2314yes—
411#88191C2314yes—
412#88190C2312yes—
413#88190C2312yes—
414#88189C2314yes—
415D4×Dic13C2312yes—
416D4×Dic13C2314yes—
417D4×Dic13C2312yes—
418D4×Dic13C2311yescharacteristic
419D4×Dic13C2314yes—
420D4×Dic13C2312yes—
421#88184C2312yes—
422#88184C2312yes—
423#88184C2311yescharacteristic
424#88184C2314yes—
425#88184C2312yes—
426#88184C2314yes—
427#88184C2314yes—
428#88184C2314yes—
429#88184C2314yes—
430#88184C2314yes—
431#88184C2314yes—
432#88184C2314yes—
433#88183C2312yes—
434#88183C2314yes—
435#88183C2314yes—
436#88183C2314yes—
437#88183C2314yes—
438#88183C2314yes—
439#88183C2314yes—
440C4×C22⋊D13C2312yes—
441C4×C22⋊D13C2314yes—
442C4×C22⋊D13C2312yes—
443C4×C22⋊D13C2314yes—
444C4×C22⋊D13C2312yes—
445C4×C22⋊D13C2314yes—
446C4×C22⋊D13C2314yes—
447C4×C22⋊D13C2314yes—
448C4×C22⋊D13C2314yes—
449C4×C22⋊D13C2314yes—
450C4×C22⋊D13C2314yes—
451C2×#6103C2312yes—
452C2×#6103C2312yes—
453C2×#6103C2312yes—
454C2×#6103C2312yes—
455C2×#6103C2312yes—
456C2×#6103C2314yes—
457C2×#6103C2314yes—
458C2×#6103C2314yes—
459C2×C4⋊Dic13C2312yes—
460#88178C2311yescharacteristic
461#88178C2312yes—
462#88178C2314yes—
463#88178C2314yes—
464C2×#6101C2312yes—
465C2×C4×Dic13C2311yescharacteristic
466C2×C4×Dic13C2311yescharacteristic
467C2×C4×Dic13C2311yescharacteristic
468C2×C4×Dic13C2312yes—
469C2×C4×Dic13C2312yes—
470C2×C4×Dic13C2314yes—
471#88152C2314yes—
472#88152C2314yes—
473#88152C2314yes—
474#88152C2314yes—
475#88152C2312yes—
476#88152C2314yes—
477#88152C2314yes—
478#88152C2314yes—
479#88152C2314yes—
480#88152C2314yes—
481#88152C2314yes—
482#88152C2314yes—
483#88151C2312yes—
484#88151C2312yes—
485#88151C2312yes—
486#88151C2314yes—
487#88151C2312yes—
488#88151C2312yes—
489#88151C2314yes—
490#88151C2314yes—
491#88151C2311yescharacteristic
492#88150C2312yes—
493#88150C2314yes—
494#88150C2314yes—
495#88150C2314yes—
496#88150C2314yes—
497#88150C2314yes—
498#88150C2314yes—
499#88150C2312yes—
500#88150C2314yes—
501#88150C2314yes—
502#88150C2314yes—
503#88150C2312yes—
504#88150C2314yes—
505#88149C2312yes—
506#88149C2312yes—
507#88149C2314yes—
508#88149C2312yes—
509#88149C2314yes—
510#88149C2314yes—
511#88149C2314yes—
512#88149C2314yes—
513#88149C2312yes—
514#88149C2312yes—
515#88149C2312yes—
516#88149C2312yes—
517#88149C2312yes—
518#88149C2314yes—
519#88149C2314yes—
520#88149C2312yes—
521#88149C2314yes—
522#88149C2311yescharacteristic
523#88149C2314yes—
524#88149C2314yes—
525#88149C2314yes—
526#88148C2314yes—
527#88148C2314yes—
528#88148C2314yes—
529#88148C2314yes—
530#88148C2314yes—
531#88148C2314yes—
532#88148C2314yes—
533#88148C2314yes—
534#88148C2314yes—
535#88148C2314yes—
536#88148C2314yes—
537#88148C2314yes—
538#88148C2314yes—
539#88148C2314yes—
540#88148C2314yes—
541#88148C2312yes—
542#88148C2314yes—
543#88148C2312yes—
544#88148C2314yes—
545#88148C2314yes—
546#88148C2314yes—
547#88147C2312yes—
548#88147C2312yes—
549#88147C2312yes—
550#88147C2314yes—
551#88147C2314yes—
552#88147C2314yes—
553#88147C2314yes—
554#88147C2312yes—
555#88147C2312yes—
556#88147C2312yes—
557#88147C2314yes—
558#88147C2314yes—
559#88147C2314yes—
560#88147C2312yes—
561#88147C2314yes—
562#88147C2314yes—
563#88147C2312yes—
564#88147C2314yes—
565#88147C2314yes—
566#88147C2314yes—
567#88147C2312yes—
568#88147C2312yes—
569#88147C2312yes—
570#88147C2312yes—
571#88147C2311yescharacteristic
572#88146C2314yes—
573#88146C2314yes—
574#88146C2314yes—
575#88146C2314yes—
576#88146C2312yes—
577#88146C2312yes—
578#88146C2314yes—
579#88146C2312yes—
580#88146C2311yescharacteristic
581#88146C2311yescharacteristic
582C4⋊C4×D13C2312yes—
583C4⋊C4×D13C2312yes—
584C4⋊C4×D13C2312yes—
585C4⋊C4×D13C2314yes—
586#88144C2314yes—
587#88144C2312yes—
588#88143C2314yes—
589#88143C2314yes—
590#88143C2312yes—
591#88143C2314yes—
592#88143C2312yes—
593#88143C2314yes—
594#88142C2312yes—
595#88142C2312yes—
596#88142C2312yes—
597#88142C2314yes—
598#88142C2314yes—
599#88142C2311yescharacteristic
600#88142C2311yescharacteristic
601#88141C2312yes—
602#88141C2312yes—
603#88141C2312yes—
604#88141C2312yes—
605#88141C2312yes—
606#88141C2312yes—
607#88141C2312yes—
608#88141C2311yescharacteristic
609#88141C2314yes—
610#88141C2312yes—
611#88140C2314yes—
612#88140C2314yes—
613#88139C2312yes—
614#88139C2314yes—
615#88139C2314yes—
616#88139C2312yes—
617#88139C2314yes—
618#88139C2314yes—
619#88139C2314yes—
620#88139C2314yes—
621#88139C2314yes—
622#88139C2314yes—
623#88139C2314yes—
624#88139C2314yes—
625#88139C2314yes—
626#88138C2312yes—
627#88138C2314yes—
628#88138C2314yes—
629#88138C2312yes—
630#88138C2312yes—
631#88138C2314yes—
632#88138C2314yes—
633#88138C2314yes—
634#88138C2314yes—
635#88138C2314yes—
636#88138C2314yes—
637#88138C2314yes—
638#88138C2314yes—
639#88138C2314yes—
640#88138C2314yes—
641#88137C2312yes—
642#88137C2314yes—
643#88137C2314yes—
644#88137C2312yes—
645#88137C2314yes—
646#88137C2314yes—
647#88137C2314yes—
648#88137C2314yes—
649#88136C2314yes—
650#88136C2314yes—
651#88136C2314yes—
652#88136C2314yes—
653#88136C2312yes—
654#88136C2314yes—
655#88136C2314yes—
656#88136C2314yes—
657#88136C2314yes—
658#88136C2314yes—
659#88136C2314yes—
660#88136C2314yes—
661#88136C2314yes—
662#88136C2314yes—
663#88136C2314yes—
664#88135C2312yes—
665#88135C2312yes—
666#88135C2314yes—
667#88135C2314yes—
668#88135C2312yes—
669#88135C2312yes—
670#88135C2312yes—
671#88135C2314yes—
672#88135C2312yes—
673#88135C2314yes—
674#88135C2314yes—
675#88135C2312yes—
676#88135C2314yes—
677#88135C2314yes—
678#88135C2314yes—
679#88135C2314yes—
680C22⋊C4×D13C2314yes—
681C22⋊C4×D13C2314yes—
682C22⋊C4×D13C2314yes—
683C22⋊C4×D13C2314yes—
684C22⋊C4×D13C2314yes—
685#88133C2312yes—
686#88133C2314yes—
687#88133C2314yes—
688#88133C2314yes—
689#88132C2312yes—
690#88132C2314yes—
691#88132C2314yes—
692#88131C2312yes—
693#88131C2312yes—
694#88131C2314yes—
695#88131C2314yes—
696#88131C2312yes—
697#88130C2312yes—
698#88130C2314yes—
699#88130C2314yes—
700#88129C2312yes—
701#88129C2312yes—
702#88129C2312yes—
703#88129C2312yes—
704#88129C2312yes—
705#88129C2312yes—
706#88129C2314yes—
707#88129C2311yescharacteristic
708#88128C2311yescharacteristic
709#88128C2312yes—
710#88128C2314yes—
711C4×D52C2314yes—
712C4×D52C2312yes—
713C4×D52C2312yes—
714C4×D52C2312yes—
715C4×D52C2312yes—
716C4×D52C2311yescharacteristic
717#88126C2312yes—
718#88126C2314yes—
719#88126C2312yes—
720C42×D13C2311yescharacteristic
721C42×D13C2311yescharacteristic
722C42×D13C2312yes—
723C42×D13C2314yes—
724C42×D13C2311yescharacteristic
725C42×D13C2311yescharacteristic
726C42×D13C2311yescharacteristic
727C42×D13C2311yescharacteristic
728C42×D13C2311yescharacteristic
729C42×D13C2311yescharacteristic
730#88124C2311yescharacteristic
731#88123C2311yescharacteristic
732C4×Dic26C2312yes—
733C4×Dic26C2314yes—
734C4×Dic26C2312yes—
735C4×Dic26C2311yescharacteristic
736#62748—131nomaximal, Sylow
737C23×D13C2411yescharacteristic
738C23×D13C2414yes—
739C23×D13C2412yes—
740C23×D13C2414yes—
741C23×D13C2414yes—
742C13×#41—44no—
743C13×#41—48no—
744C2×Q8×C13C2411yescharacteristic
745C2×Q8×C13C2412yes—
746C2×Q8×C13C2414yes—
747C2×D4×C13C2412yes—
748C2×D4×C13C2414yes—
749C2×D4×C13C2412yes—
750C2×D4×C13C2414yes—
751C2×D4×C13C2411yescharacteristic
752C2×D4×C13C2412yes—
753C2×D4×C13C2412yes—
754C2×D4×C13C2414yes—
755C22×C4×C13C2412yes—
756C22×C4×C13C2411yescharacteristic
757C22×C4×C13C2411yescharacteristic
758C22×C4×C13C2412yes—
759C22×C4×C13C2412yes—
760C22×C4×C13C2411yescharacteristic
761C22×C4×C13C2414yes—
762C22×C4×C13C2414yes—
763C22×C4×C13C2414yes—
764C22×C4×C13C2414yes—
765C2×C22⋊D13C2412yes—
766C2×C22⋊D13C2414yes—
767C2×C22⋊D13C2412yes—
768C2×C22⋊D13C2414yes—
769C2×C22⋊D13C2412yes—
770C2×C22⋊D13C2412yes—
771C2×C22⋊D13C2412yes—
772C2×C22⋊D13C2414yes—
773C2×C22⋊D13C2414yes—
774C2×C22⋊D13C2414yes—
775C2×C22⋊D13C2414yes—
776C2×C22⋊D13C2414yes—
777C2×C22⋊D13C2414yes—
778C2×C22⋊D13C2414yes—
779C2×C22⋊D13C2414yes—
780C2×C22⋊D13C2414yes—
781C22×Dic13C2414yes—
782C22×Dic13C2412yes—
783C22×Dic13C2414yes—
784C22×Dic13C2412yes—
785C22×Dic13C2411yescharacteristic
786C22×Dic13C2411yescharacteristic
787C22×Dic13C2412yes—
788C22×Dic13C2411yescharacteristic
789#6131—48no—
790#6131—44no—
791#6131—42no—
792Q8×D13—48no—
793Q8×D13—44no—
794#6129—216no—
795#6129—28no—
796#6129—44no—
797#6129—48no—
798#6129—44no—
799#6129—42no—
800D4×D13—44no—
801D4×D13—44no—
802D4×D13—48no—
803D4×D13—44no—
804D4×D13—44no—
805D4×D13—48no—
806D4×D13—48no—
807D4×D13—48no—
808D4×D13—48no—
809#6127—48no—
810#6127—48no—
811#6127—48no—
812#6127—44no—
813#6127—44no—
814#6127—44no—
815#6127—48no—
816C2×D52—42no—
817C2×D52—44no—
818C2×D52—44no—
819C2×D52—48no—
820C2×D52C2412yes—
821C2×D52C2412yes—
822C2×D52C2412yes—
823C2×D52C2414yes—
824C2×D52C2412yes—
825C2×D52C2411yescharacteristic
826C2×D52C2412yes—
827C2×D52C2414yes—
828C2×D52C2412yes—
829C2×D52C2414yes—
830C2×D52C2414yes—
831C2×D52C2414yes—
832C2×D52C2414yes—
833C2×D52C2414yes—
834C2×D52C2414yes—
835C2×D52C2412yes—
836C2×D52C2414yes—
837C2×C4×D13—24no—
838C2×C4×D13—28no—
839C2×C4×D13—48no—
840C2×C4×D13—48no—
841C2×C4×D13—48no—
842C2×C4×D13—42no—
843C2×C4×D13—42no—
844C2×C4×D13C2411yescharacteristic
845C2×C4×D13C2411yescharacteristic
846C2×C4×D13C2411yescharacteristic
847C2×C4×D13C2411yescharacteristic
848C2×C4×D13C2411yescharacteristic
849C2×C4×D13C2411yescharacteristic
850C2×C4×D13C2411yescharacteristic
851C2×C4×D13C2411yescharacteristic
852C2×C4×D13C2412yes—
853C2×C4×D13C2412yes—
854C2×C4×D13C2414yes—
855C2×C4×D13C2414yes—
856C2×C4×D13C2414yes—
857C2×C4×D13C2411yescharacteristic
858C2×C4×D13C2411yescharacteristic
859C2×C4×D13C2411yescharacteristic
860C2×C4×D13C2411yescharacteristic
861C2×C4×D13C2414yes—
862C2×C4×D13C2412yes—
863C2×C4×D13C2414yes—
864C2×C4×D13C2414yes—
865C2×C4×D13C2414yes—
866C2×C4×D13C2414yes—
867C2×C4×D13C2414yes—
868C2×C4×D13C2414yes—
869C2×C4×D13C2414yes—
870C2×Dic26—42no—
871C2×Dic26C2412yes—
872C2×Dic26C2412yes—
873C2×Dic26C2414yes—
874C2×Dic26C2411yescharacteristic
875C2×Dic26C2412yes—
876C2×Dic26C2412yes—
877C2×Dic26C2412yes—
878C2×Dic26C2414yes—
879C13×C4⋊C4C2412yes—
880C13×C4⋊C4C2412yes—
881C13×C4⋊C4C2412yes—
882C13×C4⋊C4C2411yescharacteristic
883C13×C4⋊C4C2414yes—
884C13×C4⋊C4C2412yes—
885C13×C4⋊C4C2412yes—
886C13×C4⋊C4C2412yes—
887C13×C4⋊C4C2414yes—
888C13×C4⋊C4C2412yes—
889C13×C4⋊C4C2412yes—
890C13×C4⋊C4C2411yescharacteristic
891C13×C4⋊C4C2414yes—
892C13×C4⋊C4C2414yes—
893C13×C4⋊C4C2412yes—
894C13×C4⋊C4C2414yes—
895C13×C4⋊C4C2414yes—
896C13×C4⋊C4C2414yes—
897C13×C4⋊C4C2414yes—
898C13×C4⋊C4C2412yes—
899C13×C22⋊C4C2412yes—
900C13×C22⋊C4C2414yes—
901C13×C22⋊C4C2412yes—
902C13×C22⋊C4C2414yes—
903C13×C22⋊C4C2412yes—
904C13×C22⋊C4C2414yes—
905C13×C22⋊C4C2414yes—
906C13×C22⋊C4C2414yes—
907C13×C22⋊C4C2414yes—
908C13×C22⋊C4C2412yes—
909C13×C22⋊C4C2414yes—
910C13×C22⋊C4C2412yes—
911C42×C13C2412yes—
912C42×C13C2411yescharacteristic
913C42×C13C2414yes—
914C42×C13C2411yescharacteristic
915C42×C13C2411yescharacteristic
916C42×C13C2411yescharacteristic
917C22⋊Dic13C2412yes—
918C22⋊Dic13C2412yes—
919C22⋊Dic13C2414yes—
920C22⋊Dic13C2412yes—
921C22⋊Dic13C2414yes—
922C22⋊Dic13C2414yes—
923C22⋊Dic13C2414yes—
924C22⋊Dic13C2414yes—
925#6103C2412yes—
926#6103C2412yes—
927#6103C2414yes—
928#6103C2412yes—
929#6103C2414yes—
930#6103C2412yes—
931#6103C2412yes—
932#6103C2414yes—
933#6103C2414yes—
934#6103C2414yes—
935#6103C2412yes—
936#6103C2414yes—
937#6103C2412yes—
938#6103C2412yes—
939#6103C2414yes—
940#6103C2414yes—
941#6103C2414yes—
942#6103C2414yes—
943#6103C2412yes—
944#6103C2414yes—
945#6103C2414yes—
946#6103C2414yes—
947#6103C2414yes—
948#6103C2414yes—
949#6103C2414yes—
950#6103C2412yes—
951#6103C2414yes—
952#6103C2414yes—
953#6103C2414yes—
954#6103C2414yes—
955#6103C2414yes—
956#6103C2414yes—
957#6103C2414yes—
958#6103C2414yes—
959#6103C2414yes—
960#6103C2414yes—
961C4⋊Dic13C2412yes—
962C4⋊Dic13C2411yescharacteristic
963C4⋊Dic13C2414yes—
964C4⋊Dic13C2412yes—
965C4⋊Dic13C2412yes—
966C4⋊Dic13C2411yescharacteristic
967C4⋊Dic13C2412yes—
968C4⋊Dic13C2414yes—
969C4⋊Dic13C2414yes—
970C4⋊Dic13C2414yes—
971#6101C2412yes—
972#6101C2414yes—
973#6101C2412yes—
974#6101C2412yes—
975#6101C2414yes—
976#6101C2412yes—
977#6101C2412yes—
978#6101C2412yes—
979#6101C2412yes—
980#6101C2414yes—
981#6101C2412yes—
982#6101C2414yes—
983#6101C2412yes—
984#6101C2412yes—
985#6101C2414yes—
986#6101C2414yes—
987#6101C2414yes—
988#6101C2414yes—
989#6101C2414yes—
990#6101C2414yes—
991C4×Dic13C2411yescharacteristic
992C4×Dic13C2412yes—
993C4×Dic13C2414yes—
994C4×Dic13C2414yes—
995C4×Dic13C2414yes—
996C4×Dic13C2411yescharacteristic
997C4×Dic13C2412yes—
998C4×Dic13C2411yescharacteristic
999C4×Dic13C2411yescharacteristic
1000C4×Dic13C2411yescharacteristic
1001C4×Dic13C2411yescharacteristic
1002C4×Dic13C2411yescharacteristic
1003C4×Dic13C2411yescharacteristic
1004C4×Dic13C2411yescharacteristic
1005C4×Dic13C2411yescharacteristic
1006C4×Dic13C2411yescharacteristic
1007C4×Dic13C2411yescharacteristic
1008C4×Dic13C2412yes—
1009C4×Dic13C2412yes—
1010C4×Dic13C2414yes—
1011C4×Dic13C2414yes—
1012C4×Dic13C2412yes—
1013#3562—134no—
1014#3561—132no—
1015#3560—134no—
1016#3559—131no—
1017#3559D1311yescharacteristic, complemented
1018#3558—132no—
1019#3558—131no—
1020#3558—131no—
1021#3554—132no—
1022#3552—132no—
1023#3546—132no—
1024#3543—132no—
1025#3537—132no—
1026#3536—132no—
1027#3534—132no—
1028#3534—132no—
1029#3529—132no—
1030#3529—132no—
1031#3481—132no—
1032#3481—132no—
1033#3480—132no—
1034D4×#41—134no—
1035D4×#41—132no—
1036#3460—132no—
1037#3460—132no—
1038#3459—134no—
1039#3455—132no—
1040#3449—132no—
1041#3444—131no—
1042C2×#532—131no—
1043C2×#529—131no—
1044C23×C13C2512yes—
1045C23×C13C2514yes—
1046C23×C13C2511yescharacteristic
1047C22×D13—22no—
1048C22×D13—24no—
1049C22×D13—22no—
1050C22×D13—28no—
1051C22×D13—41no—
1052C22×D13—44no—
1053C22×D13—44no—
1054C22×D13—44no—
1055C22×D13—44no—
1056C22×D13—44no—
1057C22×D13—42no—
1058C22×D13—42no—
1059C22×D13—44no—
1060C22×D13—44no—
1061C22×D13—44no—
1062C22×D13C2514yes—
1063C22×D13C2512yes—
1064C22×D13C2514yes—
1065C22×D13C2511yescharacteristic
1066C22×D13C2511yescharacteristic
1067Q8×C13—42no—
1068Q8×C13—44no—
1069Q8×C13—41no—
1070D4×C13—28no—
1071D4×C13—24no—
1072D4×C13—24no—
1073D4×C13—42no—
1074D4×C13—44no—
1075D4×C13—42no—
1076D4×C13—44no—
1077D4×C13—41no—
1078C2×C4×C13—22no—
1079C2×C4×C13—24no—
1080C2×C4×C13—22no—
1081C2×C4×C13—24no—
1082C2×C4×C13—44no—
1083C2×C4×C13—44no—
1084C2×C4×C13—44no—
1085C2×C4×C13—41no—
1086C2×C4×C13—42no—
1087C2×C4×C13—44no—
1088C2×C4×C13C2512yes—
1089C2×C4×C13C2514yes—
1090C2×C4×C13C2512yes—
1091C2×C4×C13C2511yescharacteristic
1092C2×C4×C13C2511yescharacteristic
1093C2×C4×C13C2511yescharacteristic
1094C2×C4×C13C2511yescharacteristic
1095C2×C4×C13C2511yescharacteristic
1096C2×C4×C13C2512yes—
1097C2×C4×C13C2514yes—
1098C2×C4×C13C2514yes—
1099C2×C4×C13C2511yescharacteristic
1100C22⋊D13—28no—
1101C22⋊D13—24no—
1102C22⋊D13—24no—
1103C22⋊D13—28no—
1104C22⋊D13—24no—
1105C22⋊D13—44no—
1106C22⋊D13—44no—
1107C22⋊D13—44no—
1108C22⋊D13—44no—
1109C22⋊D13—42no—
1110C22⋊D13—42no—
1111C22⋊D13—44no—
1112C22⋊D13—44no—
1113C22⋊D13—44no—
1114C22⋊D13—44no—
1115C22⋊D13—44no—
1116C2×Dic13—28no—
1117C2×Dic13—24no—
1118C2×Dic13—42no—
1119C2×Dic13—41no—
1120C2×Dic13—41no—
1121C2×Dic13—44no—
1122C2×Dic13—42no—
1123C2×Dic13H(5,𝔽2)14yes—
1124C2×Dic13C2511yescharacteristic
1125C2×Dic13C2511yescharacteristic
1126C2×Dic13C2512yes—
1127C2×Dic13C2511yescharacteristic
1128C2×Dic13C2512yes—
1129C2×Dic13C2514yes—
1130C2×Dic13C2511yescharacteristic
1131C2×Dic13C2512yes—
1132C2×Dic13C2514yes—
1133C2×Dic13C2511yescharacteristic
1134C2×Dic13C2511yescharacteristic
1135D52—28no—
1136D52—24no—
1137D52—24no—
1138D52—24no—
1139D52—42no—
1140D52—44no—
1141D52—44no—
1142D52—44no—
1143D52—44no—
1144D52—42no—
1145D52—44no—
1146D52—44no—
1147D52—44no—
1148D52—42no—
1149D52—44no—
1150D52—42no—
1151D52—41no—
1152C4×D13—22no—
1153C4×D13—22no—
1154C4×D13—22no—
1155C4×D13—22no—
1156C4×D13—24no—
1157C4×D13—22no—
1158C4×D13—28no—
1159C4×D13—22no—
1160C4×D13—28no—
1161C4×D13—22no—
1162C4×D13—22no—
1163C4×D13—28no—
1164C4×D13—24no—
1165C4×D13—41no—
1166C4×D13—41no—
1167C4×D13—41no—
1168C4×D13—41no—
1169C4×D13—44no—
1170C4×D13—44no—
1171C4×D13—44no—
1172C4×D13—44no—
1173C4×D13—44no—
1174C4×D13—44no—
1175C4×D13—44no—
1176C4×D13—44no—
1177C4×D13—42no—
1178Dic26—24no—
1179Dic26—24no—
1180Dic26—28no—
1181Dic26—42no—
1182Dic26—42no—
1183Dic26—42no—
1184Dic26—44no—
1185Dic26—41no—
1186C22×#41—132no—
1187C22×#41—134no—
1188#563—134no—
1189#563—132no—
1190#563—134no—
1191#563C2×D1312yescomplemented
1192#562—132no—
1193#562—132no—
1194#562—132no—
1195#562—134no—
1196#562—134no—
1197#562—134no—
1198#562—134no—
1199#562C2×D1312yescomplemented
1200H(3,𝔽4)—132no—
1201H(3,𝔽4)—132no—
1202#560—134no—
1203#560—134no—
1204#560—134no—
1205#560—134no—
1206#560—134no—
1207#560—134no—
1208#559—134no—
1209#559—132no—
1210#559—132no—
1211#559—132no—
1212#557—132no—
1213#556—134no—
1214#556—132no—
1215#554—132no—
1216#554—132no—
1217#554—132no—
1218#554C2×D1312yescomplemented
1219#553—132no—
1220#553—132no—
1221#553—134no—
1222#553—134no—
1223#553—134no—
1224#553—132no—
1225#553—132no—
1226#553—134no—
1227#553C2×D1312yescomplemented
1228#553C2×D1312yescomplemented
1229#551—134no—
1230#551—134no—
1231#551—134no—
1232#551—134no—
1233#550—132no—
1234#550—132no—
1235#550—134no—
1236D4×Q8—132no—
1237D4×Q8—134no—
1238#548—134no—
1239#548—134no—
1240#548—134no—
1241#548—132no—
1242#548—132no—
1243#547—132no—
1244#547—132no—
1245#547—134no—
1246#547—134no—
1247#547C2×D1312yescomplemented
1248#547C2×D1314yescomplemented
1249#546—134no—
1250#546—134no—
1251#546—134no—
1252#546—134no—
1253#546—134no—
1254#546—134no—
1255#546—134no—
1256#546—134no—
1257#546—134no—
1258#546—134no—
1259#546—134no—
1260#546—132no—
1261#546—132no—
1262#546—132no—
1263#546—132no—
1264D42—134no—
1265D42—132no—
1266D42—132no—
1267D42—134no—
1268D42—132no—
1269D42—134no—
1270D42—132no—
1271D42—132no—
1272#544—132no—
1273#544C2×D1312yescomplemented
1274#543—134no—
1275#542—132no—
1276#542—132no—
1277#542—134no—
1278#542—134no—
1279#542—134no—
1280#542—134no—
1281#542—132no—
1282#542—132no—
1283#541—134no—
1284#540—134no—
1285#540—132no—
1286#540—132no—
1287#540—134no—
1288#540—134no—
1289#540—132no—
1290#540C2×D1312yescomplemented
1291#539—134no—
1292#539—134no—
1293#539—134no—
1294#539—134no—
1295#539—134no—
1296#539—132no—
1297#539—134no—
1298#539C2×D1312yescomplemented
1299#539C2×D1314yescomplemented
1300#538—134no—
1301#538—134no—
1302#538—134no—
1303#538—134no—
1304#538—134no—
1305#538—132no—
1306#538—134no—
1307#538—134no—
1308#538—132no—
1309#538—134no—
1310#538—134no—
1311#538—134no—
1312#538—134no—
1313#537—134no—
1314#537—132no—
1315#537—132no—
1316#537—132no—
1317#537C2×D1312yescomplemented
1318#536—134no—
1319#536—134no—
1320#535—132no—
1321#535—134no—
1322#535—134no—
1323#535—132no—
1324#535—132no—
1325#535—132no—
1326#534—134no—
1327#534—134no—
1328#534—132no—
1329#534—132no—
1330#534—134no—
1331#534—134no—
1332#533—131no—
1333#533—131no—
1334#533—131no—
1335#532—132no—
1336#532—131no—
1337#532—132no—
1338#532—134no—
1339#532—131no—
1340#532—132no—
1341#532—131no—
1342#532—132no—
1343#532—132no—
1344#532—131no—
1345#532—134no—
1346#532—132no—
1347#532—134no—
1348#532—132no—
1349#532—132no—
1350#532—131no—
1351#532—131no—
1352#532C2×D1311yescharacteristic, complemented
1353C2×C4⋊Q8—131no—
1354C2×#127—131no—
1355#529—132no—
1356#529—132no—
1357#529—134no—
1358#529—134no—
1359#529—132no—
1360#529—132no—
1361#529—132no—
1362#529—132no—
1363#529—132no—
1364#529—132no—
1365#529—132no—
1366#529—132no—
1367#529—131no—
1368#529—134no—
1369#529—132no—
1370#529—131no—
1371#529—132no—
1372#529—134no—
1373#529—134no—
1374#529—134no—
1375#529—132no—
1376#529—132no—
1377#529—131no—
1378#529C2×D1311yescharacteristic, complemented
1379C2×#126—132no—
1380C2×#125C2×D1311yescharacteristic, complemented
1381C2×#124—132no—
1382C2×#124—131no—
1383#525—132no—
1384#525—134no—
1385#525—134no—
1386#525—134no—
1387#525—134no—
1388#525—131no—
1389#525—134no—
1390#525—134no—
1391#525—134no—
1392#525—134no—
1393#525—134no—
1394#525—131no—
1395#525—134no—
1396#525—134no—
1397#525—132no—
1398C2×#123—132no—
1399C2×C22⋊Q8—131no—
1400C2×#121—132no—
1401C2×#121—132no—
1402C2×#121—131no—
1403C4×#41—131no—
1404C4×#41—132no—
1405C4×#41—131no—
1406C4×#41—134no—
1407C4×#41—132no—
1408C4×#41—132no—
1409C4×#41—132no—
1410C2×C4×Q8—131no—
1411C2×C4×D4—132no—
1412C2×C4×D4—132no—
1413C2×C4×D4—134no—
1414C2×C4×D4—132no—
1415C2×C4×D4—132no—
1416C2×C4×D4—131no—
1417C2×C4×D4—134no—
1418C2×C4×D4—132no—
1419C2×#117—132no—
1420C22×C42—131no—
1421C22×C13—21no—
1422C22×C13—21no—
1423C22×C13—24no—
1424C22×C13—22no—
1425C22×C13—22no—
1426C22×C13—24no—
1427C22×C13—22no—
1428C22×C13—24no—
1429C22×C13C2×H(5,𝔽2)12yes—
1430C22×C13C2611yescharacteristic
1431C2×D13—21no—
1432C2×D13—21no—
1433C2×D13—24no—
1434C2×D13—21no—
1435C2×D13—22no—
1436C2×D13—24no—
1437C2×D13—21no—
1438C2×D13—22no—
1439C2×D13—21no—
1440C2×D13—22no—
1441C2×D13—24no—
1442C2×D13—24no—
1443C2×D13—24no—
1444C2×D13—24no—
1445C2×D13—44no—
1446C2×D13—88no—
1447C2×D13—84no—
1448C2×D13—88no—
1449C2×D13—88no—
1450C2×D13#58512yes—
1451C4×C13—24no—
1452C4×C13—22no—
1453C4×C13—21no—
1454C4×C13—24no—
1455C4×C13—21no—
1456C4×C13—21no—
1457C4×C13—21no—
1458C4×C13—22no—
1459C4×C13—21no—
1460C4×C13—24no—
1461C4×C13—22no—
1462C4×C13#58512yes—
1463Dic13—24no—
1464Dic13—22no—
1465Dic13—24no—
1466Dic13—21no—
1467Dic13—22no—
1468Dic13—22no—
1469Dic13—21no—
1470Dic13—21no—
1471Dic13—21no—
1472Dic13C2×H(5,𝔽2)12yes—
1473Dic13C2×H(5,𝔽2)12yes—
1474C2×#41—131no—
1475C2×#41—134no—
1476C2×#41—132no—
1477C2×#41—132no—
1478C2×#41—134no—
1479C2×#41—131no—
1480C2×#41—132no—
1481C2×#41—134no—
1482C2×#41—132no—
1483C2×#41—132no—
1484C2×#41—132no—
1485C2×#41—132no—
1486C2×#41—134no—
1487C2×#41—134no—
1488C2×#41—134no—
1489C2×#41—134no—
1490C2×#41—528no—
1491C2×#41—5216no—
1492C2×#41C22×D1312yes—
1493C2×#41C22×D1314yes—
1494C22×Q8—132no—
1495C22×Q8—134no—
1496C22×Q8—131no—
1497C22×D4—132no—
1498C22×D4—132no—
1499C22×D4—134no—
1500C22×D4—132no—
1501C22×D4—134no—
1502C22×D4—132no—
1503C22×D4—134no—
1504C22×D4—134no—
1505C22×D4—134no—
1506C22×D4—132no—
1507C22×D4—131no—
1508C22×D4—134no—
1509C22×D4—132no—
1510C23×C4—132no—
1511C23×C4—131no—
1512C23×C4—134no—
1513C23×C4—134no—
1514C23×C4—134no—
1515C23×C4—131no—
1516C23×C4—131no—
1517C4⋊Q8—132no—
1518C4⋊Q8—131no—
1519C4⋊Q8—132no—
1520C4⋊Q8—132no—
1521C4⋊Q8—131no—
1522C4⋊Q8—131no—
1523C4⋊Q8—134no—
1524C4⋊Q8—132no—
1525C4⋊Q8—134no—
1526C4⋊Q8—131no—
1527C4⋊Q8C22×D1311yescharacteristic
1528C4⋊Q8C22×D1312yes—
1529C4⋊Q8C22×D1314yes—
1530#127—132no—
1531#127—132no—
1532#127—132no—
1533#127—131no—
1534#127—134no—
1535#127—132no—
1536#127—134no—
1537#127—131no—
1538#127—132no—
1539#127—134no—
1540#127C22×D1311yescharacteristic
1541#126—134no—
1542#126—134no—
1543#126—134no—
1544#126—134no—
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—134no—
1555#126—134no—
1556#126—134no—
1557#126—132no—
1558#126—134no—
1559#126—134no—
1560#126C22×D1312yes—
1561#126C22×D1314yes—
1562#126C22×D1314yes—
1563#125—132no—
1564#125—132no—
1565#125—134no—
1566#125—134no—
1567#125—134no—
1568#125—134no—
1569#125—134no—
1570#125—132no—
1571#125—131no—
1572#125C22×D1312yes—
1573#125C22×D1312yes—
1574#125C22×D1312yes—
1575#125C22×D1312yes—
1576#125C22×D1311yescharacteristic
1577#125C22×D1314yes—
1578#125C22×D1312yes—
1579#124—132no—
1580#124—134no—
1581#124—134no—
1582#124—134no—
1583#124—134no—
1584#124—132no—
1585#124—132no—
1586#124—134no—
1587#124—134no—
1588#124—132no—
1589#124—132no—
1590#124—134no—
1591#124—134no—
1592#124—134no—
1593#124—134no—
1594#124—134no—
1595#124—134no—
1596#124—134no—
1597#124—134no—
1598#124—134no—
1599#124—132no—
1600#124—132no—
1601#124—132no—
1602#124—132no—
1603#124—132no—
1604#124—131no—
1605#124—134no—
1606#124—132no—
1607#124C22×D1312yes—
1608#124C22×D1311yescharacteristic
1609#123—134no—
1610#123—132no—
1611#123—134no—
1612#123—134no—
1613#123—134no—
1614#123—134no—
1615#123—134no—
1616#123—134no—
1617#123—134no—
1618#123—134no—
1619#123—134no—
1620#123—134no—
1621#123—132no—
1622#123—132no—
1623#123—134no—
1624#123—134no—
1625#123—134no—
1626#123—134no—
1627#123—134no—
1628#123—134no—
1629#123—134no—
1630#123—134no—
1631#123—134no—
1632#123—134no—
1633#123—134no—
1634#123—134no—
1635#123—134no—
1636#123—134no—
1637#123—134no—
1638#123—132no—
1639#123—132no—
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#123C22×D1312yes—
1649#123C22×D1314yes—
1650#123C22×D1314yes—
1651#123C22×D1314yes—
1652#123C22×D1314yes—
1653#123C22×D1314yes—
1654#123C22×D1314yes—
1655C22⋊Q8—131no—
1656C22⋊Q8—134no—
1657C22⋊Q8—134no—
1658C22⋊Q8—134no—
1659C22⋊Q8—134no—
1660C22⋊Q8—134no—
1661C22⋊Q8—131no—
1662C22⋊Q8—134no—
1663C22⋊Q8—134no—
1664C22⋊Q8—132no—
1665C22⋊Q8—132no—
1666C22⋊Q8—132no—
1667C22⋊Q8—132no—
1668C22⋊Q8—132no—
1669C22⋊Q8—132no—
1670C22⋊Q8—132no—
1671C22⋊Q8—132no—
1672C22⋊Q8—131no—
1673C22⋊Q8—134no—
1674C22⋊Q8—134no—
1675C22⋊Q8—134no—
1676C22⋊Q8—134no—
1677C22⋊Q8—134no—
1678C22⋊Q8—134no—
1679C22⋊Q8—134no—
1680C22⋊Q8—134no—
1681C22⋊Q8—134no—
1682C22⋊Q8—134no—
1683C22⋊Q8—134no—
1684C22⋊Q8—132no—
1685C22⋊Q8—134no—
1686C22⋊Q8—134no—
1687C22⋊Q8—132no—
1688C22⋊Q8—134no—
1689C22⋊Q8—134no—
1690C22⋊Q8C22×D1311yescharacteristic
1691C22⋊Q8C22×D1314yes—
1692C22⋊Q8C22×D1314yes—
1693C22⋊Q8C22×D1314yes—
1694C22⋊Q8C22×D1314yes—
1695C22⋊Q8C22×D1314yes—
1696C22⋊Q8C22×D1314yes—
1697#121—134no—
1698#121—132no—
1699#121—132no—
1700#121—134no—
1701#121—132no—
1702#121—131no—
1703#121—134no—
1704#121—134no—
1705#121—134no—
1706#121—134no—
1707#121—134no—
1708#121—134no—
1709#121—134no—
1710#121—134no—
1711#121—134no—
1712#121—132no—
1713#121—132no—
1714#121—131no—
1715#121—134no—
1716#121—134no—
1717#121—134no—
1718#121—134no—
1719#121—134no—
1720#121—134no—
1721#121—134no—
1722#121—132no—
1723#121—134no—
1724#121—132no—
1725#121—132no—
1726#121—132no—
1727#121—132no—
1728#121—132no—
1729#121—132no—
1730#121—131no—
1731#121—134no—
1732#121—134no—
1733#121—134no—
1734#121—134no—
1735#121—134no—
1736#121—134no—
1737#121—132no—
1738#121—132no—
1739#121—134no—
1740#121—132no—
1741#121—134no—
1742#121—134no—
1743#121—134no—
1744#121—134no—
1745#121—134no—
1746#121—134no—
1747#121—132no—
1748#121—132no—
1749#121—132no—
1750#121—134no—
1751#121—134no—
1752#121—134no—
1753#121—134no—
1754#121—134no—
1755#121—134no—
1756#121—134no—
1757#121—134no—
1758#121—134no—
1759#121—134no—
1760#121C22×D1312yes—
1761#121C22×D1312yes—
1762#121C22×D1311yescharacteristic
1763#121C22×D1314yes—
1764#121C22×D1314yes—
1765#121C22×D1312yes—
1766#121C22×D1314yes—
1767#121C22×D1312yes—
1768#121C22×D1314yes—
1769#120—132no—
1770#120—134no—
1771#120—134no—
1772#120—134no—
1773#120—134no—
1774#120—134no—
1775#120—134no—
1776#120—134no—
1777#120—134no—
1778#120—132no—
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#120—134no—
1788#120—134no—
1789#120—134no—
1790#120—134no—
1791#120—134no—
1792#120—134no—
1793C4×Q8—131no—
1794C4×Q8—132no—
1795C4×Q8—132no—
1796C4×Q8—132no—
1797C4×Q8—132no—
1798C4×Q8—131no—
1799C4×Q8—132no—
1800C4×Q8—132no—
1801C4×Q8—132no—
1802C4×Q8—134no—
1803C4×Q8—132no—
1804C4×Q8—132no—
1805C4×Q8—131no—
1806C4×Q8—134no—
1807C4×Q8—132no—
1808C4×Q8C22×D1311yescharacteristic
1809C4×D4—132no—
1810C4×D4—132no—
1811C4×D4—134no—
1812C4×D4—131no—
1813C4×D4—132no—
1814C4×D4—134no—
1815C4×D4—134no—
1816C4×D4—134no—
1817C4×D4—134no—
1818C4×D4—134no—
1819C4×D4—134no—
1820C4×D4—132no—
1821C4×D4—132no—
1822C4×D4—132no—
1823C4×D4—134no—
1824C4×D4—134no—
1825C4×D4—134no—
1826C4×D4—134no—
1827C4×D4—132no—
1828C4×D4—132no—
1829C4×D4—132no—
1830C4×D4—132no—
1831C4×D4—134no—
1832C4×D4—134no—
1833C4×D4—134no—
1834C4×D4—132no—
1835C4×D4—134no—
1836C4×D4—134no—
1837C4×D4—132no—
1838C4×D4—132no—
1839C4×D4—134no—
1840C4×D4—134no—
1841C4×D4—134no—
1842C4×D4—134no—
1843C4×D4—134no—
1844C4×D4—132no—
1845C4×D4—132no—
1846C4×D4—134no—
1847C4×D4—131no—
1848C4×D4—132no—
1849C4×D4—132no—
1850C4×D4—132no—
1851C4×D4—132no—
1852C4×D4—134no—
1853C4×D4—134no—
1854C4×D4—134no—
1855C4×D4—134no—
1856C4×D4—134no—
1857C4×D4—134no—
1858C4×D4—132no—
1859C4×D4—132no—
1860C4×D4—132no—
1861C4×D4—132no—
1862C4×D4—132no—
1863C4×D4—132no—
1864C4×D4—134no—
1865C4×D4—134no—
1866C4×D4—134no—
1867C4×D4—132no—
1868C4×D4—132no—
1869C4×D4—134no—
1870C4×D4—132no—
1871C4×D4—132no—
1872C4×D4—131no—
1873C4×D4C22×D1312yes—
1874C4×D4C22×D1312yes—
1875C4×D4C22×D1314yes—
1876C4×D4C22×D1312yes—
1877C4×D4C22×D1312yes—
1878C4×D4C22×D1311yescharacteristic
1879C4×D4C22×D1314yes—
1880C4×D4C22×D1312yes—
1881#117—134no—
1882#117—134no—
1883#117—134no—
1884#117—134no—
1885#117—134no—
1886#117—132no—
1887#117—131no—
1888#117—131no—
1889#117—132no—
1890#117—132no—
1891#117—132no—
1892#117—132no—
1893#117—134no—
1894#117—132no—
1895#117—134no—
1896#117—132no—
1897#117—132no—
1898#117—134no—
1899#117C22×D1312yes—
1900#117C22×D1312yes—
1901C2×C4⋊C4—132no—
1902C2×C4⋊C4—132no—
1903C2×C4⋊C4—132no—
1904C2×C4⋊C4—132no—
1905C2×C4⋊C4—132no—
1906C2×C4⋊C4—134no—
1907C2×C4⋊C4C22×D1312yes—
1908C2×C4⋊C4C22×D1311yescharacteristic
1909C2×C4⋊C4C22×D1312yes—
1910C2×C4⋊C4C22×D1312yes—
1911C2×C4⋊C4C22×D1314yes—
1912C2×C4⋊C4C22×D1311yescharacteristic
1913C2×C22⋊C4—132no—
1914C2×C22⋊C4—132no—
1915C2×C22⋊C4—132no—
1916C2×C22⋊C4—132no—
1917C2×C22⋊C4—132no—
1918C2×C22⋊C4—134no—
1919C2×C22⋊C4—134no—
1920C2×C22⋊C4—134no—
1921C2×C22⋊C4—134no—
1922C2×C22⋊C4—134no—
1923C2×C22⋊C4—134no—
1924C2×C22⋊C4—134no—
1925C2×C22⋊C4—134no—
1926C2×C42—131no—
1927C2×C42—132no—
1928C2×C42—131no—
1929C2×C42—132no—
1930C2×C42—134no—
1931C2×C42—131no—
1932C2×C42—131no—
1933C2×C42—131no—
1934C2×C42—132no—
1935C2×C42—134no—
1936C2×C42—131no—
1937C2×C42—131no—
1938C2×C42—131no—
1939C2×C42—131no—
1940C2×C42—131no—
1941C2×C42—131no—
1942C2×C42C22×D1311yescharacteristic
1943C2×C13—22no—
1944C2×C13—44no—
1945C2×C13—42no—
1946C2×C13C22×H(5,𝔽2)11yescharacteristic
1947C2×C13C2×#58511yescharacteristic
1948C2×C13C2×#58511yescharacteristic
1949D13—22no—
1950D13—41no—
1951D13—42no—
1952D13—44no—
1953D13—44no—
1954C24—131no—
1955C24—134no—
1956C24—132no—
1957C24—134no—
1958C24—134no—
1959#41—44no—
1960#41—48no—
1961#41—268no—
1962#41—2616no—
1963#41—524no—
1964#41—524no—
1965#41—528no—
1966#41—524no—
1967#41—528no—
1968#41—528no—
1969#41—528no—
1970#41—528no—
1971#41—524no—
1972#41—528no—
1973#41—524no—
1974#41—524no—
1975#41—522no—
1976#41—522no—
1977C2×Q8—132no—
1978C2×Q8—132no—
1979C2×Q8—134no—
1980C2×Q8—132no—
1981C2×Q8—132no—
1982C2×Q8—131no—
1983C2×Q8—134no—
1984C2×Q8—132no—
1985C2×Q8—522no—
1986C2×Q8—524no—
1987C2×Q8—528no—
1988C2×Q8C23×D1311yescharacteristic
1989C2×Q8C23×D1314yes—
1990C2×Q8C23×D1312yes—
1991C2×D4—132no—
1992C2×D4—132no—
1993C2×D4—134no—
1994C2×D4—132no—
1995C2×D4—134no—
1996C2×D4—134no—
1997C2×D4—132no—
1998C2×D4—134no—
1999C2×D4—134no—
2000C2×D4—134no—
2001C2×D4—132no—
2002C2×D4—134no—
2003C2×D4—134no—
2004C2×D4—134no—
2005C2×D4—134no—
2006C2×D4—134no—
2007C2×D4—132no—
2008C2×D4—134no—
2009C2×D4—132no—
2010C2×D4—132no—
2011C2×D4—132no—
2012C2×D4—131no—
2013C2×D4—134no—
2014C2×D4—134no—
2015C2×D4—132no—
2016C2×D4—134no—
2017C2×D4—134no—
2018C2×D4—132no—
2019C2×D4—134no—
2020C2×D4—134no—
2021C2×D4—134no—
2022C2×D4—132no—
2023C2×D4—134no—
2024C2×D4—522no—
2025C2×D4—524no—
2026C2×D4—524no—
2027C2×D4—528no—
2028C2×D4—524no—
2029C2×D4—524no—
2030C2×D4—524no—
2031C2×D4—528no—
2032C2×D4—524no—
2033C2×D4—528no—
2034C2×D4—528no—
2035C2×D4—528no—
2036C2×D4—528no—
2037C2×D4C23×D1312yes—
2038C2×D4C23×D1312yes—
2039C2×D4C23×D1314yes—
2040C2×D4C23×D1311yescharacteristic
2041C2×D4C23×D1312yes—
2042C2×D4C23×D1314yes—
2043C2×D4C23×D1314yes—
2044C2×D4C23×D1312yes—
2045C22×C4—131no—
2046C22×C4—132no—
2047C22×C4—134no—
2048C22×C4—131no—
2049C22×C4—131no—
2050C22×C4—132no—
2051C22×C4—132no—
2052C22×C4—134no—
2053C22×C4—131no—
2054C22×C4—131no—
2055C22×C4—131no—
2056C22×C4—131no—
2057C22×C4—131no—
2058C22×C4—131no—
2059C22×C4—131no—
2060C22×C4—131no—
2061C22×C4—132no—
2062C22×C4—132no—
2063C22×C4—134no—
2064C22×C4—134no—
2065C22×C4—134no—
2066C22×C4—131no—
2067C22×C4—131no—
2068C22×C4—131no—
2069C22×C4—131no—
2070C22×C4—132no—
2071C22×C4—134no—
2072C22×C4—134no—
2073C22×C4—134no—
2074C22×C4—134no—
2075C22×C4—134no—
2076C22×C4—134no—
2077C22×C4—134no—
2078C22×C4—134no—
2079C22×C4—264no—
2080C22×C4—268no—
2081C22×C4—522no—
2082C22×C4—528no—
2083C22×C4—528no—
2084C22×C4—528no—
2085C22×C4—522no—
2086C22×C4C23×D1311yescharacteristic
2087C22×C4C23×D1311yescharacteristic
2088C22×C4C23×D1312yes—
2089C22×C4C23×D1312yes—
2090C22×C4C23×D1311yescharacteristic
2091C22×C4C23×D1312yes—
2092C22×C4C23×D1314yes—
2093C22×C4C23×D1314yes—
2094C22×C4C23×D1314yes—
2095C22×C4C23×D1314yes—
2096C4⋊C4—132no—
2097C4⋊C4—132no—
2098C4⋊C4—134no—
2099C4⋊C4—134no—
2100C4⋊C4—134no—
2101C4⋊C4—134no—
2102C4⋊C4—134no—
2103C4⋊C4—134no—
2104C4⋊C4—132no—
2105C4⋊C4—134no—
2106C4⋊C4—134no—
2107C4⋊C4—134no—
2108C4⋊C4—132no—
2109C4⋊C4—132no—
2110C4⋊C4—134no—
2111C4⋊C4—132no—
2112C4⋊C4—134no—
2113C4⋊C4—134no—
2114C4⋊C4—132no—
2115C4⋊C4—132no—
2116C4⋊C4—132no—
2117C4⋊C4—132no—
2118C4⋊C4—132no—
2119C4⋊C4—132no—
2120C4⋊C4—134no—
2121C4⋊C4—132no—
2122C4⋊C4—134no—
2123C4⋊C4—131no—
2124C4⋊C4—132no—
2125C4⋊C4—131no—
2126C4⋊C4C23×D1312yes—
2127C4⋊C4C23×D1314yes—
2128C4⋊C4C23×D1312yes—
2129C4⋊C4C23×D1312yes—
2130C4⋊C4C23×D1312yes—
2131C4⋊C4C23×D1314yes—
2132C4⋊C4C23×D1314yes—
2133C4⋊C4C23×D1312yes—
2134C4⋊C4C23×D1314yes—
2135C4⋊C4C23×D1314yes—
2136C4⋊C4C23×D1314yes—
2137C4⋊C4C23×D1314yes—
2138C4⋊C4C23×D1312yes—
2139C4⋊C4C23×D1312yes—
2140C4⋊C4C23×D1311yescharacteristic
2141C4⋊C4C23×D1312yes—
2142C4⋊C4C23×D1314yes—
2143C4⋊C4C23×D1311yescharacteristic
2144C4⋊C4C23×D1312yes—
2145C4⋊C4C23×D1312yes—
2146C22⋊C4—134no—
2147C22⋊C4—134no—
2148C22⋊C4—134no—
2149C22⋊C4—134no—
2150C22⋊C4—132no—
2151C22⋊C4—132no—
2152C22⋊C4—132no—
2153C22⋊C4—134no—
2154C22⋊C4—134no—
2155C22⋊C4—134no—
2156C22⋊C4—134no—
2157C22⋊C4—132no—
2158C22⋊C4—132no—
2159C22⋊C4—132no—
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—134no—
2170C22⋊C4—134no—
2171C22⋊C4—134no—
2172C22⋊C4—134no—
2173C22⋊C4—134no—
2174C22⋊C4—134no—
2175C22⋊C4—134no—
2176C22⋊C4—134no—
2177C22⋊C4—134no—
2178C22⋊C4—134no—
2179C22⋊C4—132no—
2180C22⋊C4—134no—
2181C22⋊C4—134no—
2182C22⋊C4—132no—
2183C22⋊C4—132no—
2184C22⋊C4—134no—
2185C22⋊C4—132no—
2186C22⋊C4—134no—
2187C22⋊C4—132no—
2188C22⋊C4—132no—
2189C22⋊C4—132no—
2190C22⋊C4C23×D1312yes—
2191C22⋊C4C23×D1314yes—
2192C22⋊C4C23×D1314yes—
2193C22⋊C4C23×D1314yes—
2194C22⋊C4C23×D1314yes—
2195C22⋊C4C23×D1312yes—
2196C22⋊C4C23×D1314yes—
2197C22⋊C4C23×D1314yes—
2198C22⋊C4C23×D1312yes—
2199C22⋊C4C23×D1314yes—
2200C22⋊C4C23×D1312yes—
2201C22⋊C4C23×D1312yes—
2202C42—131no—
2203C42—134no—
2204C42—131no—
2205C42—132no—
2206C42—132no—
2207C42—131no—
2208C42—131no—
2209C42—131no—
2210C42—131no—
2211C42—131no—
2212C42—131no—
2213C42—131no—
2214C42—131no—
2215C42—131no—
2216C42—131no—
2217C42—132no—
2218C42—132no—
2219C42—132no—
2220C42—134no—
2221C42—134no—
2222C42—134no—
2223C42—134no—
2224C42C23×D1311yescharacteristic
2225C42C23×D1311yescharacteristic
2226C42C23×D1311yescharacteristic
2227C42C23×D1311yescharacteristic
2228C42C23×D1312yes—
2229C42C23×D1314yes—
2230C13#6274811yescharacteristic, complemented, Sylow
2231C23—131no—
2232C23—134no—
2233C23—132no—
2234C23—134no—
2235C23—131no—
2236C23—262no—
2237C23—268no—
2238C23—262no—
2239C23—264no—
2240C23—521no—
2241C23—524no—
2242C23—524no—
2243C23—524no—
2244C23—522no—
2245C23—522no—
2246C23—524no—
2247C23—524no—
2248C23—524no—
2249C23—524no—
2250C23—524no—
2251C23C24×D1314yes—
2252C23C24×D1312yes—
2253C23C24×D1311yescharacteristic
2254Q8—44no—
2255Q8—42no—
2256Q8—41no—
2257Q8—264no—
2258Q8—268no—
2259Q8—264no—
2260Q8—522no—
2261Q8—524no—
2262Q8—522no—
2263Q8—521no—
2264Q8—522no—
2265D4—28no—
2266D4—24no—
2267D4—24no—
2268D4—44no—
2269D4—42no—
2270D4—44no—
2271D4—42no—
2272D4—41no—
2273D4—268no—
2274D4—264no—
2275D4—264no—
2276D4—268no—
2277D4—264no—
2278D4—264no—
2279D4—268no—
2280D4—264no—
2281D4—264no—
2282D4—524no—
2283D4—524no—
2284D4—524no—
2285D4—522no—
2286D4—524no—
2287D4—522no—
2288D4—524no—
2289D4—522no—
2290D4—524no—
2291D4—524no—
2292D4—524no—
2293D4—521no—
2294D4—522no—
2295D4—524no—
2296D4—524no—
2297D4—524no—
2298D4—524no—
2299D4—524no—
2300D4—524no—
2301D4—524no—
2302D4—522no—
2303D4—522no—
2304D4—524no—
2305D4—524no—
2306C2×C4—22no—
2307C2×C4—24no—
2308C2×C4—22no—
2309C2×C4—24no—
2310C2×C4—41no—
2311C2×C4—44no—
2312C2×C4—44no—
2313C2×C4—44no—
2314C2×C4—42no—
2315C2×C4—44no—
2316C2×C4—134no—
2317C2×C4—131no—
2318C2×C4—131no—
2319C2×C4—131no—
2320C2×C4—131no—
2321C2×C4—134no—
2322C2×C4—132no—
2323C2×C4—132no—
2324C2×C4—131no—
2325C2×C4—131no—
2326C2×C4—132no—
2327C2×C4—134no—
2328C2×C4—262no—
2329C2×C4—268no—
2330C2×C4—262no—
2331C2×C4—268no—
2332C2×C4—262no—
2333C2×C4—262no—
2334C2×C4—264no—
2335C2×C4—268no—
2336C2×C4—262no—
2337C2×C4—262no—
2338C2×C4—264no—
2339C2×C4—268no—
2340C2×C4—262no—
2341C2×C4—262no—
2342C2×C4—264no—
2343C2×C4—521no—
2344C2×C4—521no—
2345C2×C4—521no—
2346C2×C4—521no—
2347C2×C4—524no—
2348C2×C4—524no—
2349C2×C4—524no—
2350C2×C4—524no—
2351C2×C4—524no—
2352C2×C4—524no—
2353C2×C4—524no—
2354C2×C4—522no—
2355C2×C4—524no—
2356C2×C4—521no—
2357C2×C4—521no—
2358C2×C4—522no—
2359C2×C4—522no—
2360C2×C4—524no—
2361C2×C4C24×D1312yes—
2362C2×C4C24×D1314yes—
2363C2×C4C24×D1311yescharacteristic
2364C2×C4C24×D1311yescharacteristic
2365C2×C4C24×D1311yescharacteristic
2366C2×C4C24×D1311yescharacteristic
2367C2×C4C24×D1311yescharacteristic
2368C2×C4C24×D1312yes—
2369C2×C4C24×D1312yes—
2370C2×C4C24×D1314yes—
2371C2×C4C24×D1314yes—
2372C2×C4C24×D1311yescharacteristic
2373C22—21no—
2374C22—21no—
2375C22—24no—
2376C22—22no—
2377C22—24no—
2378C22—22no—
2379C22—22no—
2380C22—24no—
2381C22—132no—
2382C22—261no—
2383C22—261no—
2384C22—264no—
2385C22—261no—
2386C22—262no—
2387C22—264no—
2388C22—261no—
2389C22—262no—
2390C22—264no—
2391C22—264no—
2392C22—261no—
2393C22—262no—
2394C22—264no—
2395C22—264no—
2396C22—524no—
2397C22—1044no—
2398C22—1048no—
2399C22—1048no—
2400C22—1048no—
2401C22D13×H(5,𝔽2)12yes—
2402C22C25×D1311yescharacteristic
2403C4—21no—
2404C4—24no—
2405C4—21no—
2406C4—24no—
2407C4—22no—
2408C4—24no—
2409C4—22no—
2410C4—21no—
2411C4—21no—
2412C4—22no—
2413C4—21no—
2414C4—132no—
2415C4—132no—
2416C4—262no—
2417C4—264no—
2418C4—261no—
2419C4—261no—
2420C4—262no—
2421C4—261no—
2422C4—262no—
2423C4—261no—
2424C4—264no—
2425C4#1171965212yes—
2426C2—22no—
2427C2—44no—
2428C2—42no—
2429C2—262no—
2430C2—521no—
2431C2—524no—
2432C2—522no—
2433C2—524no—
2434C2C2×D13×H(5,𝔽2)11yescharacteristic
2435C2D13×#58511yescharacteristic
2436C2C2×#1171965211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D13
commutator, socle, cosocleC22×C13C26
FittingC13×#3559C2
hypercenter#3559D13
hypocenterC13#62748
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #13129419C2semidirect
2. #13129404C2semidirect
3. #13129384C2semidirect
4. #13129370C2semidirect
5. #13129359C2semidirect
6. #13129358C2semidirect
7. #13129352C2semidirect
8. #13129299C2semidirect
9. #13129276C2semidirect
10. #13129207C2semidirect
11. #13129165C2semidirect
12. #13129072C2semidirect
13. #13129059C2semidirect
14. #13129031C2semidirect
15. #13129015C2semidirect
16. #13128977C2semidirect
17. #13128973C2semidirect
18. #13128447C2semidirect
19. #13128443C2semidirect
20. #13128430C2semidirect
21. #13128323C2semidirect
22. #13128323C2semidirect
23. #13128259C2semidirect
24. #13128251C2semidirect
25. #13128244C2semidirect
26. #13128222C2semidirect
27. #13128164C2semidirect
28. #13128130C2semidirect
29. D13×#532C2semidirect
30. C2×#11719396C2semidirect
31. C13×#3559C2semidirect
32. C2×#41×D13C22semidirect
33. C2×#41×D13C22semidirect
34. C13×#563C22semidirect
35. C13×#562C22semidirect
36. C13×#554C22semidirect
37. C13×#553C22semidirect
38. C13×#553C22semidirect
39. C13×#547C22semidirect
40. C13×#547C22semidirect
41. C13×#544C22semidirect
42. C13×#540C22semidirect
43. C13×#539C22semidirect
44. C13×#539C22semidirect
45. C13×#537C22semidirect
46. C13×#532C22semidirect
47. C13×#529C22semidirect
48. C2×C13×#125C22semidirect
49. #11719538C22semidirect
50. #11719537C22semidirect
51. #11719534C22semidirect
52. #11719534C22semidirect
53. #11719534C22semidirect
54. #11719440C22semidirect
55. #11719438C22semidirect
56. #11719438C22semidirect
57. #11719438C22semidirect
58. #11719435C22semidirect
59. #11719432C22semidirect
60. #11719432C22semidirect
61. #11719430C22semidirect
62. #11719430C22semidirect
63. #11719430C22semidirect
64. D13×C4⋊Q8C22semidirect
65. #11719421C22semidirect
66. #11719420C22semidirect
67. D13×#127C22semidirect
68. #11719416C22semidirect
69. #11719416C22semidirect
70. #11719415C22semidirect
71. #11719411C22semidirect
72. #11719411C22semidirect
73. #11719411C22semidirect
74. #11719411C22semidirect
75. #11719410C22semidirect
76. #11719409C22semidirect
77. #11719409C22semidirect
78. #11719407C22semidirect
79. #11719405C22semidirect
80. #11719405C22semidirect
81. #11719404C22semidirect
82. #11719403C22semidirect
83. #11719403C22semidirect
84. #11719403C22semidirect
85. #11719401C22semidirect
86. #11719400C22semidirect
87. #11719400C22semidirect
88. #11719397C22semidirect
89. #11719397C22semidirect
90. #11719396C22semidirect
91. #11719396C22semidirect
92. #11719396C22semidirect
93. #11719396C22semidirect
94. #11719396C22semidirect
95. #11719396C22semidirect
96. #11719396C22semidirect
97. #11719396C22semidirect
98. #11719396C22semidirect
99. #11719396C22semidirect
100. #11719396C22semidirect
101. #11719395C22semidirect
102. #11719394C22semidirect
103. #11719393C22semidirect
104. #11719390C22semidirect
105. #11719389C22semidirect
106. #11719388C22semidirect
107. #11719388C22semidirect
108. #11719385C22semidirect
109. D13×#124C22semidirect
110. #11719373C22semidirect
111. #11719373C22semidirect
112. #11719372C22semidirect
113. #11719371C22semidirect
114. #11719371C22semidirect
115. #11719370C22semidirect
116. #11719369C22semidirect
117. #11719368C22semidirect
118. #11719367C22semidirect
119. #11719366C22semidirect
120. #11719362C22semidirect
121. #11719362C22semidirect
122. #11719362C22semidirect
123. #11719361C22semidirect
124. #11719361C22semidirect
125. #11719361C22semidirect
126. #11719361C22semidirect
127. #11719361C22semidirect
128. #11719359C22semidirect
129. #11719359C22semidirect
130. #11719359C22semidirect
131. #11719359C22semidirect
132. #11719359C22semidirect
133. #11719359C22semidirect
134. #11719358C22semidirect
135. #11719358C22semidirect
136. #11719354C22semidirect
137. #11719354C22semidirect
138. #11719354C22semidirect
139. #11719352C22semidirect
140. #11719352C22semidirect
141. #11719352C22semidirect
142. #11719351C22semidirect
143. #11719349C22semidirect
144. #11719349C22semidirect
145. #11719349C22semidirect
146. #11719345C22semidirect
147. #11719343C22semidirect
148. #11719343C22semidirect
149. #11719342C22semidirect
150. #11719342C22semidirect
151. #11719339C22semidirect
152. #11719338C22semidirect
153. #11719338C22semidirect
154. #11719338C22semidirect
155. #11719335C22semidirect
156. #11719333C22semidirect
157. #11719333C22semidirect
158. #11719332C22semidirect
159. #11719332C22semidirect
160. #11719332C22semidirect
161. #11719332C22semidirect
162. #11719332C22semidirect
163. #11719332C22semidirect
164. #11719329C22semidirect
165. #11719327C22semidirect
166. #11719325C22semidirect
167. #11719325C22semidirect
168. #11719322C22semidirect
169. #11719320C22semidirect
170. #11719318C22semidirect
171. #11719317C22semidirect
172. #11719315C22semidirect
173. #11719314C22semidirect
174. #11719314C22semidirect
175. #11719314C22semidirect
176. #11719314C22semidirect
177. #11719314C22semidirect
178. #11719313C22semidirect
179. #11719312C22semidirect
180. #11719312C22semidirect
181. #11719312C22semidirect
182. #11719311C22semidirect
183. #11719311C22semidirect
184. #11719311C22semidirect
185. #11719310C22semidirect
186. #11719310C22semidirect
187. #11719310C22semidirect
188. #11719310C22semidirect
189. D13×#121C22semidirect
190. D13×#121C22semidirect
191. #11719306C22semidirect
192. #11719305C22semidirect
193. #11719304C22semidirect
194. #11719303C22semidirect
195. #11719301C22semidirect
196. #11719301C22semidirect
197. #11719301C22semidirect
198. #11719301C22semidirect
199. #11719301C22semidirect
200. #11719301C22semidirect
201. #11719290C22semidirect
202. #11719283C22semidirect
203. C4×#6131C22semidirect
204. #11719267C22semidirect
205. #11719266C22semidirect
206. #11719265C22semidirect
207. #11719265C22semidirect
208. #11719265C22semidirect
209. #11719264C22semidirect
210. #11719264C22semidirect
211. #11719261C22semidirect
212. #11719259C22semidirect
213. #11719259C22semidirect
214. #11719258C22semidirect
215. #11719258C22semidirect
216. #11719257C22semidirect
217. #11719255C22semidirect
218. D4×D52C22semidirect
219. D4×D52C22semidirect
220. D4×D52C22semidirect
221. #11719253C22semidirect
222. #11719253C22semidirect
223. #11719253C22semidirect
224. #11719252C22semidirect
225. C4×D4×D13C22semidirect
226. C4×D4×D13C22semidirect
227. C4×D4×D13C22semidirect
228. C4×D4×D13C22semidirect
229. #11719245C22semidirect
230. C4×#6129C22semidirect
231. C4×#6129C22semidirect
232. C4×#6129C22semidirect
233. C4×#6129C22semidirect
234. #11719239C22semidirect
235. #11719238C22semidirect
236. #11719235C22semidirect
237. #11719233C22semidirect
238. #11719230C22semidirect
239. #11719230C22semidirect
240. #11719227C22semidirect
241. #11719227C22semidirect
242. #11719220C22semidirect
243. #11719220C22semidirect
244. #11719219C22semidirect
245. #11719219C22semidirect
246. C2×#88152C22semidirect
247. #11719216C22semidirect
248. #11719215C22semidirect
249. #11719215C22semidirect
250. C2×#88151C22semidirect
251. #11719212C22semidirect
252. #11719212C22semidirect
253. #11719212C22semidirect
254. #11719212C22semidirect
256. C2×#88148C22semidirect
257. C2×#88147C22semidirect
258. C2×#88147C22semidirect
259. C2×#88147C22semidirect
260. C2×#88147C22semidirect
261. C2×#88146C22semidirect
262. C2×#88141C22semidirect
263. #11719184C22semidirect
264. #11719182C22semidirect
265. C2×#88129C22semidirect
266. C2×C42×D13C22semidirect
1017. #3559D13semidirect
1191. #563C2×D13semidirect
1199. #562C2×D13semidirect
1218. #554C2×D13semidirect
1227. #553C2×D13semidirect
1228. #553C2×D13semidirect
1247. #547C2×D13semidirect
1248. #547C2×D13semidirect
1273. #544C2×D13semidirect
1290. #540C2×D13semidirect
1298. #539C2×D13semidirect
1299. #539C2×D13semidirect
1317. #537C2×D13semidirect
1352. #532C2×D13semidirect
1378. #529C2×D13semidirect
1380. C2×#125C2×D13semidirect
2230. C13#62748semidirect

Maximal subgroups

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

subgroupindex
#131294192
#131294042
#131293842
#131293702
#131293592
#131293582
#131293522
#131292992
#131292762
#131292072
#131291652
#131290722
#131290592
#131290312
#131290152
#131289772
#131289732
#131284472
#131284432
#131284302
#131283232
#131282592
#131282512
#131282442
#131282222
#131281642
#131281302
D13×#5322
C2×#117193962
C13×#35592
#6274813