Finite Group Databasebeta

← #16770589

Subgroups — #16770589

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#13129421C214yesmaximal, complemented
2#13129403C212yesmaximal, complemented
3#13129393C212yesmaximal, complemented
4#13129385C212yesmaximal, complemented
5#13129365C212yesmaximal, complemented
6#13129357C212yesmaximal, complemented
7#13129353C212yesmaximal, complemented
8#13129305C212yesmaximal, complemented
9#13129271C212yesmaximal, complemented
10#13129198C212yesmaximal, complemented
11#13129168C212yesmaximal, complemented
12#13129075C211yesmaximal, characteristic, complemented
13#13129071C211yesmaximal, characteristic, complemented
14#13129065C211yesmaximal, characteristic, complemented
15#13129022C214yesmaximal, complemented
16#13128973C214yesmaximal, complemented
17#13128447C212yesmaximal, complemented
18#13128441C212yesmaximal, complemented
19#13128426C212yesmaximal, complemented
20#13128323C212yesmaximal, complemented
21#13128320C214yesmaximal, complemented
22#13128256C212yesmaximal, complemented
23#13128253C212yesmaximal, complemented
24#13128248C212yesmaximal, complemented
25#13128247C212yesmaximal, complemented
26#13128222C212yesmaximal, complemented
27#13128164C212yesmaximal, complemented
28#13128128C211yesmaximal, characteristic, complemented
29C2×#11719301C211yesmaximal, characteristic, complemented
30C2×#11719329C211yesmaximal, characteristic, complemented
31C13×#3536C211yesmaximal, characteristic, complemented
32C2×#41×D13C2214yescomplemented
33C22×#6129C2212yescomplemented
34C13×#562C2214yescomplemented
35C13×#554C2212yescomplemented
36C13×#548C2212yescomplemented
37C13×#547C2212yescomplemented
38C13×#546C2214yescomplemented
39C13×#546C2212yescomplemented
40C13×#543C2212yescomplemented
41C13×#542C2212yescomplemented
42C13×#539C2212yescomplemented
43C13×#538C2212yescomplemented
44C13×#537C2212yescomplemented
45C13×#537C2212yescomplemented
46C13×#525C2211yescharacteristic, complemented
47C2×C13×C22⋊Q8C2211yescharacteristic, complemented
48C2×C13×#121C2211yescharacteristic, complemented
49#11719539C2212yescomplemented
50#11719538C2214yescomplemented
51#11719537C2211yescharacteristic, complemented
52#11719535C2212yescomplemented
53#11719535C2212yescomplemented
54#11719534C2214yescomplemented
55#11719534C2212yescomplemented
56#41×Dic13C2211yescharacteristic, complemented
57#41×Dic13C2212yescomplemented
58#11719529C2214yescomplemented
59#11719522C2212yescomplemented
60C2×#88201C2211yescharacteristic, complemented
61C2×Q8×Dic13C2211yescharacteristic, complemented
62C2×#88194C2211yescharacteristic, complemented
63C2×#88193C2212yescomplemented
64D4×C22⋊D13C2214yescomplemented
65D4×C22⋊D13C2212yescomplemented
66C2×D4×Dic13C2211yescharacteristic, complemented
67#11719496C2211yescharacteristic, complemented
68C2×#88184C2211yescharacteristic
69C2×#88184C2211yescharacteristic, complemented
70C22×C4×Dic13C2211yescharacteristic, complemented
71#11719435C2212yescomplemented
72#11719434C2212yescomplemented
73#11719432C2212yescomplemented
74#11719430C2212yescomplemented
75#11719415C2214yescomplemented
76#11719412C2214yescomplemented
77#11719411C2214yescomplemented
78#11719409C2214yescomplemented
79#11719404C2214yescomplemented
80#11719401C2214yescomplemented
81#11719400C2214yescomplemented
82#11719396C2214yescomplemented
83#11719389C2214yescomplemented
84#11719388C2214yescomplemented
85#11719386C2212yescomplemented
86#11719386C2212yescomplemented
87#11719386C2214yescomplemented
88#11719385C2214yescomplemented
89#11719385C2212yescomplemented
90#11719383C2214yescomplemented
91#11719383C2214yescomplemented
92#11719382C2214yescomplemented
93#11719379C2212yescomplemented
94#11719373C2214yescomplemented
95#11719372C2214yescomplemented
96#11719372C2214yescomplemented
97#11719371C2214yescomplemented
98#11719371C2214yescomplemented
99#11719370C2214yescomplemented
100#11719368C2214yescomplemented
101#11719368C2214yescomplemented
102#11719365C2214yescomplemented
103#11719363C2214yescomplemented
104#11719361C2214yescomplemented
105#11719361C2214yescomplemented
106#11719361C2214yescomplemented
107#11719360C2214yescomplemented
108#11719360C2214yescomplemented
109#11719359C2214yescomplemented
110#11719359C2214yescomplemented
111#11719354C2212yescomplemented
112#11719354C2214yescomplemented
113#11719354C2212yescomplemented
114#11719352C2214yescomplemented
115#11719352C2214yescomplemented
116#11719351C2214yescomplemented
117#11719351C2214yescomplemented
118#11719350C2214yescomplemented
119#11719350C2214yescomplemented
120#11719350C2214yescomplemented
121#11719349C2212yescomplemented
122#11719349C2212yescomplemented
123#11719349C2212yescomplemented
124#11719349C2214yescomplemented
125#11719349C2214yescomplemented
126#11719348C2212yescomplemented
127#11719348C2212yescomplemented
128#11719348C2214yescomplemented
129#11719346C2212yescomplemented
130#11719346C2214yescomplemented
131#11719345C2214yescomplemented
132#11719345C2214yescomplemented
133#11719342C2214yescomplemented
134#11719342C2214yescomplemented
135#11719340C2212yescomplemented
136#11719339C2212yescomplemented
137#11719338C2214yescomplemented
138#11719337C2214yescomplemented
139#11719335C2212yescomplemented
140#11719335C2212yescomplemented
141#11719334C2212yescomplemented
142#11719333C2214yescomplemented
143#11719333C2214yescomplemented
144#11719332C2214yescomplemented
145#11719332C2214yescomplemented
146#11719332C2214yescomplemented
147#11719332C2214yescomplemented
148#11719329C2212yescomplemented
149#11719329C2214yescomplemented
150#11719329C2214yescomplemented
151#11719329C2212yescomplemented
152#11719329C2212yescomplemented
153#11719329C2211yescharacteristic, complemented
154#11719329C2212yescomplemented
155#11719329C2212yescomplemented
156#11719329C2212yescomplemented
157#11719329C2212yescomplemented
158#11719329C2212yescomplemented
159#11719329C2212yescomplemented
160#11719329C2211yescharacteristic, complemented
161#11719327C2211yescharacteristic, complemented
162#11719327C2211yescharacteristic, complemented
163#11719325C2214yescomplemented
164#11719325C2214yescomplemented
165#11719325C2214yescomplemented
166#11719325C2214yescomplemented
167#11719324C2214yescomplemented
168#11719324C2212yescomplemented
169#11719324C2212yescomplemented
170#11719323C2214yescomplemented
171#11719323C2212yescomplemented
172#11719322C2212yescomplemented
173#11719322C2214yescomplemented
174#11719322C2214yescomplemented
175#11719319C2212yescomplemented
176#11719318C2214yescomplemented
177#11719315C2214yescomplemented
178#11719315C2214yescomplemented
179#11719314C2212yescomplemented
180#11719314C2212yescomplemented
181#11719312C2212yescomplemented
182#11719312C2214yescomplemented
183#11719312C2214yescomplemented
184#11719311C2214yescomplemented
185#11719311C2214yescomplemented
186#11719311C2214yescomplemented
187#11719310C2212yescomplemented
188#11719310C2214yescomplemented
189#11719310C2212yescomplemented
190#11719310C2212yescomplemented
191#11719306C2214yescomplemented
192#11719305C2211yescharacteristic, complemented
193#11719305C2211yescharacteristic, complemented
194#11719304C2214yescomplemented
195#11719301C2212yescomplemented
196#11719301C2214yescomplemented
197#11719301C2212yescomplemented
198#11719301C2212yescomplemented
199#11719301C2212yescomplemented
200#11719301C2212yescomplemented
201#11719301C2214yescomplemented
202#11719301C2212yescomplemented
203#11719301C2212yescomplemented
204#11719301C2211yescharacteristic, complemented
205#11719301C2212yescomplemented
206#11719301C2212yescomplemented
207#11719301C2211yescharacteristic, complemented
208#11719296C2214yescomplemented
209#11719295C2214yescomplemented
210#11719295C2214yescomplemented
211#11719294C2214yescomplemented
212#11719291C2214yescomplemented
213#11719291C2212yescomplemented
214#11719291C2212yescomplemented
215#11719290C2212yescomplemented
216#11719287C2212yescomplemented
217C4×#6131C2212yescomplemented
218#11719274C2212yescomplemented
219#11719270C2212yescomplemented
220#11719270C2214yescomplemented
221#11719270C2212yescomplemented
222#11719269C2214yescomplemented
223#11719267C2212yescomplemented
224#11719265C2214yescomplemented
225#11719259C2214yescomplemented
226#11719259C2214yescomplemented
227#11719258C2212yescomplemented
228#11719257C2214yescomplemented
229D4×D52C2212yescomplemented
230D4×D52C2212yescomplemented
231C4×D4×D13C2214yescomplemented
232C4×D4×D13C2212yescomplemented
233#11719244C2212yescomplemented
234#11719243C2212yescomplemented
235#11719243C2212yescomplemented
236C4×#6129C2214yescomplemented
237C4×#6129C2212yescomplemented
238C4×#6129C2212yescomplemented
239#11719240C2212yescomplemented
240#11719227C2211yescharacteristic, complemented
241#11719222C2211yescharacteristic, complemented
242#11719220C2212yescomplemented
243#11719219C2212yescomplemented
244#11719219C2212yescomplemented
245C2×#88152C2212yescomplemented
246#11719215C2212yescomplemented
247#11719212C2212yescomplemented
248#11719212C2212yescomplemented
249C2×#88147C2212yescomplemented
250C2×#88147C2211yescharacteristic, complemented
251C2×#88147C2211yescharacteristic, complemented
252C2×#88146C2212yescomplemented
253#11719205C2212yescomplemented
254C2×#88144C2211yescharacteristic, complemented
255C2×#88142C2211yescharacteristic, complemented
256#11719200C2214yescomplemented
257#11719199C2212yescomplemented
258#11719198C2214yescomplemented
259#11719198C2212yescomplemented
260C2×#88140C2212yescomplemented
261C2×#88139C2212yescomplemented
262#11719195C2214yescomplemented
263#11719195C2214yescomplemented
264C2×#88135C2212yescomplemented
265C2×#88135C2214yescomplemented
266C2×#88135C2212yescomplemented
267C2×C13×#41C2314yes—
268C2×C13×#41C2312yes—
269C2×C13×#41C2311yescharacteristic
270C22×Q8×C13C2311yescharacteristic
271C22×D4×C13C2311yescharacteristic
272C22×D4×C13C2312yes—
273C23×C4×C13C2311yescharacteristic
274C22×C22⋊D13C2312yes—
275C22×C22⋊D13C2314yes—
276C22×C22⋊D13C2312yes—
277C22×C22⋊D13C2312yes—
278C22×C22⋊D13C2312yes—
279C23×Dic13C2311yescharacteristic
280C23×Dic13C2312yes—
281C23×Dic13C2311yescharacteristic
282#41×D13—416no—
283C2×#6131C2314yes—
284C2×#6131C2312yes—
285C2×Q8×D13C2314yes—
286C2×#6129—48no—
287C2×#6129C2312yes—
288C2×#6129C2314yes—
289C2×#6129C2312yes—
290C2×#6129C2314yes—
291C2×#6129C2314yes—
292C2×#6129C2314yes—
293C2×#6129C2314yes—
294C2×D4×D13C2312yes—
295C2×D4×D13C2314yes—
296C2×D4×D13C2314yes—
297C2×D4×D13C2314yes—
298C2×D4×D13C2314yes—
299C2×#6127C2314yes—
300C2×#6127C2314yes—
301C2×#6127C2314yes—
302C2×#6127C2311yescharacteristic
303C22×D52C2311yescharacteristic
304C22×D52C2311yescharacteristic
305C22×D52C2312yes—
306C22×C4×D13C2312yes—
307C22×C4×D13C2312yes—
308C22×C4×D13C2314yes—
309C22×C4×D13C2314yes—
310C22×Dic26C2312yes—
311C13×C4⋊Q8C2312yes—
312C13×#126C2314yes—
313C13×#125C2314yes—
314C13×#124C2314yes—
315C13×#124C2312yes—
316C13×#124C2314yes—
317C13×#123C2312yes—
318C13×#123C2314yes—
319C13×#123C2314yes—
320C13×#123C2314yes—
321C13×#123C2314yes—
322C13×C22⋊Q8C2312yes—
323C13×C22⋊Q8C2312yes—
324C13×C22⋊Q8C2312yes—
325C13×C22⋊Q8C2312yes—
326C13×C22⋊Q8C2311yescharacteristic
327C13×C22⋊Q8C2311yescharacteristic
328C13×C22⋊Q8C2314yes—
329C13×C22⋊Q8C2314yes—
330C13×C22⋊Q8C2312yes—
331C13×C22⋊Q8C2314yes—
332C13×C22⋊Q8C2314yes—
333C13×C22⋊Q8C2314yes—
334C13×C22⋊Q8C2314yes—
335C13×#121C2312yes—
336C13×#121C2312yes—
337C13×#121C2312yes—
338C13×#121C2312yes—
339C13×#121C2311yescharacteristic
340C13×#121C2311yescharacteristic
341C13×#121C2314yes—
342C13×#121C2312yes—
343C13×#121C2314yes—
344C13×#121C2314yes—
345C13×#121C2314yes—
346C13×#121C2314yes—
347C13×#120C2312yes—
348C13×#120C2314yes—
349C4×Q8×C13C2312yes—
350C4×D4×C13C2312yes—
351C4×D4×C13C2312yes—
352C4×D4×C13C2314yes—
353C4×D4×C13C2312yes—
354C4×D4×C13C2314yes—
355C13×#117C2311yescharacteristic
356C2×C13×C4⋊C4C2311yescharacteristic
357C2×C13×C4⋊C4C2311yescharacteristic
358C2×C13×C4⋊C4C2312yes—
359C2×C13×C4⋊C4C2312yes—
360C2×C13×C22⋊C4C2312yes—
361C2×C13×C22⋊C4C2314yes—
362C2×C13×C22⋊C4C2312yes—
363#88207C2312yes—
364#88207C2314yes—
365C2×C22⋊Dic13C2312yes—
366#88201C2314yes—
367#88201C2312yes—
368#88201C2312yes—
369#88201C2312yes—
370#88201C2312yes—
371#88201C2312yes—
372#88201C2314yes—
373#88201C2314yes—
374#88201C2311yescharacteristic
375#88200C2314yes—
376#88200C2314yes—
377#88200C2314yes—
378#88200C2314yes—
379#88200C2312yes—
380#88200C2314yes—
381Q8×Dic13C2312yes—
382Q8×Dic13C2312yes—
383Q8×Dic13C2312yes—
384Q8×Dic13C2312yes—
385Q8×Dic13C2312yes—
386Q8×Dic13C2311yescharacteristic
387Q8×Dic13C2311yescharacteristic
388#88198C2314yes—
389#88198C2311yescharacteristic
390#88194C2312yes—
391#88194C2314yes—
392#88194C2312yes—
393#88194C2312yes—
394#88194C2312yes—
395#88194C2312yes—
396#88194C2314yes—
397#88194C2311yescharacteristic
398#88194C2314yes—
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#88193C2312yes—
414#88193C2312yes—
415#88192C2312yes—
416#88192C2314yes—
417#88192C2314yes—
418#88192C2314yes—
419#88192C2314yes—
420#88191C2314yes—
421#88191C2314yes—
422#88191C2314yes—
423#88191C2314yes—
424#88191C2314yes—
425#88191C2314yes—
426#88191C2314yes—
427#88191C2314yes—
428#88191C2314yes—
429#88190C2311yescharacteristic
430#88189C2312yes—
431#88189C2312yes—
432#88189C2314yes—
433D4×Dic13C2312yes—
434D4×Dic13C2314yes—
435D4×Dic13C2312yes—
436D4×Dic13C2312yes—
437D4×Dic13C2312yes—
438D4×Dic13C2312yes—
439D4×Dic13C2312yes—
440D4×Dic13C2312yes—
441D4×Dic13C2312yes—
442D4×Dic13C2314yes—
443D4×Dic13C2312yes—
444D4×Dic13C2314yes—
445D4×Dic13C2311yescharacteristic
446D4×Dic13C2311yescharacteristic
447#88184C2314yes—
448#88184C2314yes—
449#88184C2311yescharacteristic
450#88184C2312yes—
451#88184C2314yes—
452#88184C2314yes—
453#88184C2314yes—
454#88184C2314yes—
455#88184C2314yes—
456#88184C2312yes—
457#88184C2312yes—
458#88184C2311yescharacteristic
459#88184C2312yes—
460#88184C2312yes—
461#88184C2312yes—
462#88184C2314yes—
463#88184C2312yes—
464#88184C2312yes—
465#88184C2312yes—
466#88184C2312yes—
467#88183C2314yes—
468#88183C2314yes—
469#88183C2314yes—
470#88183C2314yes—
471#88183C2312yes—
472C4×C22⋊D13C2314yes—
473C4×C22⋊D13C2314yes—
474C4×C22⋊D13C2314yes—
475C4×C22⋊D13C2314yes—
476C4×C22⋊D13C2312yes—
477C4×C22⋊D13C2312yes—
478C4×C22⋊D13C2312yes—
479C4×C22⋊D13C2312yes—
480C4×C22⋊D13C2314yes—
481C2×#6103C2312yes—
482C2×#6103C2312yes—
483C2×#6103C2314yes—
484C2×#6103C2312yes—
485C2×#6103C2312yes—
486C2×#6103C2312yes—
487C2×#6103C2312yes—
488C2×#6103C2314yes—
489#88180C2314yes—
490#88180C2312yes—
491#88180C2312yes—
492#88180C2311yescharacteristic
493C2×C4⋊Dic13C2312yes—
494C2×C4⋊Dic13C2312yes—
495C2×C4⋊Dic13C2311yescharacteristic
496C2×C4⋊Dic13C2311yescharacteristic
497#88178C2311yescharacteristic
498#88178C2314yes—
499#88178C2314yes—
500#88178C2314yes—
501#88178C2311yescharacteristic
502C2×#6101C2312yes—
503C2×#6101C2312yes—
504C2×#6101C2314yes—
505C2×C4×Dic13C2311yescharacteristic
506C2×C4×Dic13C2312yes—
507C2×C4×Dic13C2314yes—
508C2×C4×Dic13C2311yescharacteristic
509C2×C4×Dic13C2311yescharacteristic
510C2×C4×Dic13C2311yescharacteristic
511C2×C4×Dic13C2311yescharacteristic
512C2×C4×Dic13C2311yescharacteristic
513C2×C4×Dic13C2311yescharacteristic
514C2×C4×Dic13C2312yes—
515C2×C4×Dic13C2311yescharacteristic
516C2×C4×Dic13C2311yescharacteristic
517C2×C4×Dic13C2311yescharacteristic
518C2×C4×Dic13C2311yescharacteristic
519C2×C4×Dic13C2311yescharacteristic
520#88152C2314yes—
521#88152C2314yes—
522#88152C2314yes—
523#88152C2314yes—
524#88152C2314yes—
525#88152C2314yes—
526#88152C2314yes—
527#88152C2312yes—
528#88152C2312yes—
529#88152C2314yes—
530#88152C2314yes—
531#88152C2314yes—
532#88152C2314yes—
533#88152C2314yes—
534#88151C2314yes—
535#88151C2314yes—
536#88151C2314yes—
537#88151C2314yes—
538#88150C2314yes—
539#88150C2314yes—
540#88150C2314yes—
541#88150C2314yes—
542#88150C2314yes—
543#88150C2314yes—
544#88150C2314yes—
545#88149C2312yes—
546#88149C2312yes—
547#88149C2314yes—
548#88149C2314yes—
549#88149C2314yes—
550#88149C2314yes—
551#88149C2314yes—
552#88149C2314yes—
553#88148C2314yes—
554#88148C2314yes—
555#88148C2314yes—
556#88148C2314yes—
557#88148C2314yes—
558#88148C2314yes—
559#88148C2314yes—
560#88148C2314yes—
561#88148C2314yes—
562#88148C2314yes—
563#88148C2314yes—
564#88147C2312yes—
565#88147C2312yes—
566#88147C2314yes—
567#88147C2312yes—
568#88147C2312yes—
569#88147C2312yes—
570#88147C2312yes—
571#88147C2312yes—
572#88147C2312yes—
573#88147C2314yes—
574#88147C2314yes—
575#88147C2312yes—
576#88147C2312yes—
577#88147C2311yescharacteristic
578#88147C2311yescharacteristic
579#88147C2314yes—
580#88146C2312yes—
581#88146C2314yes—
582#88146C2314yes—
583#88146C2314yes—
584#88146C2314yes—
585#88146C2314yes—
586#88146C2312yes—
587#88146C2312yes—
588#88146C2314yes—
589C4⋊C4×D13C2312yes—
590C4⋊C4×D13C2314yes—
591#88144C2312yes—
592#88144C2312yes—
593#88144C2312yes—
594#88144C2312yes—
595#88144C2312yes—
596#88144C2314yes—
597#88144C2311yescharacteristic
598#88144C2311yescharacteristic
599#88144C2314yes—
600#88143C2314yes—
601#88143C2314yes—
602#88143C2312yes—
603#88143C2312yes—
604#88142C2312yes—
605#88142C2312yes—
606#88142C2312yes—
607#88142C2312yes—
608#88142C2312yes—
609#88142C2314yes—
610#88142C2311yescharacteristic
611#88142C2311yescharacteristic
612#88142C2314yes—
613#88141C2311yescharacteristic
614#88141C2311yescharacteristic
615#88141C2314yes—
616#88141C2312yes—
617#88141C2312yes—
618#88140C2314yes—
619#88140C2314yes—
620#88140C2314yes—
621#88140C2314yes—
622#88140C2312yes—
623#88140C2314yes—
624#88140C2314yes—
625#88140C2314yes—
626#88140C2314yes—
627#88140C2312yes—
628#88140C2314yes—
629#88140C2314yes—
630#88139C2314yes—
631#88139C2314yes—
632#88139C2314yes—
633#88139C2314yes—
634#88139C2314yes—
635#88139C2314yes—
636#88139C2314yes—
637#88139C2314yes—
638#88139C2312yes—
639#88139C2312yes—
640#88139C2314yes—
641#88139C2314yes—
642#88139C2314yes—
643#88138C2314yes—
644#88138C2314yes—
645#88138C2314yes—
646#88138C2314yes—
647#88138C2314yes—
648#88138C2314yes—
649#88138C2314yes—
650#88138C2314yes—
651#88138C2314yes—
652#88138C2314yes—
653#88138C2314yes—
654#88137C2314yes—
655#88137C2314yes—
656#88137C2314yes—
657#88137C2314yes—
658#88137C2314yes—
659#88137C2314yes—
660#88137C2314yes—
661#88137C2314yes—
662#88137C2314yes—
663#88137C2314yes—
664#88136C2314yes—
665#88136C2314yes—
666#88136C2314yes—
667#88136C2314yes—
668#88136C2314yes—
669#88136C2314yes—
670#88136C2314yes—
671#88136C2314yes—
672#88136C2314yes—
673#88136C2314yes—
674#88136C2314yes—
675#88135C2312yes—
676#88135C2314yes—
677#88135C2314yes—
678#88135C2314yes—
679#88135C2314yes—
680#88135C2314yes—
681#88135C2314yes—
682#88135C2314yes—
683#88135C2314yes—
684#88135C2314yes—
685#88135C2314yes—
686#88135C2314yes—
687#88135C2314yes—
688#88135C2314yes—
689#88135C2314yes—
690#88135C2312yes—
691#88135C2312yes—
692#88135C2312yes—
693#88135C2314yes—
694#88135C2314yes—
695#88135C2312yes—
696#88135C2312yes—
697#88135C2314yes—
698#88135C2314yes—
699C22⋊C4×D13C2314yes—
700C22⋊C4×D13C2314yes—
701C22⋊C4×D13C2314yes—
702#88133C2314yes—
703#88133C2314yes—
704#88133C2314yes—
705#88133C2312yes—
706#88133C2312yes—
707#88133C2314yes—
708#88132C2312yes—
709#88132C2314yes—
710#88132C2312yes—
711#88132C2312yes—
712#88132C2312yes—
713#88132C2314yes—
714#88132C2314yes—
715#88131C2312yes—
716#88131C2312yes—
717#88131C2314yes—
718#88131C2312yes—
719#88131C2312yes—
720#88130C2314yes—
721#88129C2314yes—
722#88129C2314yes—
723#88128C2312yes—
724C4×D52C2312yes—
725C4×D52C2312yes—
726C4×D52C2314yes—
727C4×D52C2314yes—
728#88126C2312yes—
729C42×D13C2312yes—
730C42×D13C2314yes—
731#88124C2312yes—
732#88124C2314yes—
733C4×Dic26C2312yes—
734C4×Dic26C2312yes—
735C4×Dic26C2314yes—
736#62748—131nomaximal, Sylow
737C24×C13C2411yescharacteristic
738C24×C13C2412yes—
739C23×D13C2412yes—
740C23×D13C2412yes—
741C23×D13C2414yes—
742C23×D13C2414yes—
743C13×#41—42no—
744C13×#41—48no—
745C13×#41—44no—
746C2×Q8×C13—42no—
747C2×Q8×C13C2412yes—
748C2×Q8×C13C2411yescharacteristic
749C2×Q8×C13C2414yes—
750C2×Q8×C13C2412yes—
751C2×D4×C13—42no—
752C2×D4×C13—44no—
753C2×D4×C13C2412yes—
754C2×D4×C13C2412yes—
755C2×D4×C13C2412yes—
756C2×D4×C13C2414yes—
757C2×D4×C13C2411yescharacteristic
758C2×D4×C13C2414yes—
759C2×D4×C13C2412yes—
760C2×D4×C13C2412yes—
761C2×D4×C13C2414yes—
762C2×D4×C13C2414yes—
763C22×C4×C13—42no—
764C22×C4×C13C2411yescharacteristic
765C22×C4×C13C2411yescharacteristic
766C22×C4×C13C2411yescharacteristic
767C22×C4×C13C2412yes—
768C22×C4×C13C2412yes—
769C22×C4×C13C2411yescharacteristic
770C22×C4×C13C2411yescharacteristic
771C22×C4×C13C2411yescharacteristic
772C22×C4×C13C2412yes—
773C22×C4×C13C2414yes—
774C22×C4×C13C2414yes—
775C22×C4×C13C2412yes—
776C22×C4×C13C2414yes—
777C2×C22⋊D13—44no—
778C2×C22⋊D13—44no—
779C2×C22⋊D13—44no—
780C2×C22⋊D13—44no—
781C2×C22⋊D13—48no—
782C2×C22⋊D13C2412yes—
783C2×C22⋊D13C2414yes—
784C2×C22⋊D13C2414yes—
785C2×C22⋊D13C2414yes—
786C2×C22⋊D13C2412yes—
787C2×C22⋊D13C2412yes—
788C2×C22⋊D13C2414yes—
789C2×C22⋊D13C2414yes—
790C2×C22⋊D13C2414yes—
791C2×C22⋊D13C2414yes—
792C2×C22⋊D13C2412yes—
793C2×C22⋊D13C2414yes—
794C2×C22⋊D13C2412yes—
795C2×C22⋊D13C2414yes—
796C2×C22⋊D13C2414yes—
797C2×C22⋊D13C2414yes—
798C2×C22⋊D13C2414yes—
799C2×C22⋊D13C2414yes—
800C2×C22⋊D13C2414yes—
801C22×Dic13—24no—
802C22×Dic13—44no—
803C22×Dic13—42no—
804C22×Dic13C2411yescharacteristic
805C22×Dic13C2414yes—
806C22×Dic13C2412yes—
807C22×Dic13C2411yescharacteristic
808C22×Dic13C2411yescharacteristic
809C22×Dic13C2411yescharacteristic
810C22×Dic13C2411yescharacteristic
811C22×Dic13C2411yescharacteristic
812C22×Dic13C2411yescharacteristic
813C22×Dic13C2412yes—
814C22×Dic13C2412yes—
815C22×Dic13C2411yescharacteristic
816C22×Dic13C2411yescharacteristic
817C22×Dic13C2414yes—
818C22×Dic13C2414yes—
819C22×Dic13C2411yescharacteristic
820C22×Dic13C2411yescharacteristic
821C22×Dic13C2412yes—
822C22×Dic13C2411yescharacteristic
823#6131—48no—
824#6131—44no—
825Q8×D13—48no—
826#6129—216no—
827#6129—28no—
828#6129—48no—
829#6129—48no—
830#6129—48no—
831#6129—48no—
832#6129—44no—
833D4×D13—44no—
834D4×D13—48no—
835D4×D13—48no—
836D4×D13—48no—
837D4×D13—48no—
838#6127—48no—
839#6127—48no—
840#6127—42no—
841#6127—48no—
842C2×D52—42no—
843C2×D52—44no—
844C2×D52—42no—
845C2×D52C2412yes—
846C2×D52C2412yes—
847C2×D52C2414yes—
848C2×D52C2414yes—
849C2×D52C2414yes—
850C2×D52C2414yes—
851C2×D52C2412yes—
852C2×D52C2411yescharacteristic
853C2×D52C2414yes—
854C2×D52C2414yes—
855C2×D52C2412yes—
856C2×C4×D13—28no—
857C2×C4×D13—44no—
858C2×C4×D13—48no—
859C2×C4×D13—48no—
860C2×C4×D13C2412yes—
861C2×C4×D13C2412yes—
862C2×C4×D13C2414yes—
863C2×C4×D13C2414yes—
864C2×C4×D13C2414yes—
865C2×C4×D13C2412yes—
866C2×C4×D13C2414yes—
867C2×C4×D13C2414yes—
868C2×C4×D13C2414yes—
869C2×C4×D13C2414yes—
870C2×C4×D13C2414yes—
871C2×C4×D13C2414yes—
872C2×C4×D13C2414yes—
873C2×Dic26—44no—
874C2×Dic26C2412yes—
875C2×Dic26C2414yes—
876C2×Dic26C2412yes—
877C2×Dic26C2414yes—
878C2×Dic26C2414yes—
879C2×Dic26C2411yescharacteristic
880C13×C4⋊C4C2411yescharacteristic
881C13×C4⋊C4C2411yescharacteristic
882C13×C4⋊C4C2412yes—
883C13×C4⋊C4C2412yes—
884C13×C4⋊C4C2414yes—
885C13×C4⋊C4C2412yes—
886C13×C4⋊C4C2412yes—
887C13×C4⋊C4C2412yes—
888C13×C4⋊C4C2414yes—
889C13×C4⋊C4C2414yes—
890C13×C4⋊C4C2414yes—
891C13×C4⋊C4C2414yes—
892C13×C4⋊C4C2412yes—
893C13×C4⋊C4C2414yes—
894C13×C22⋊C4C2412yes—
895C13×C22⋊C4C2412yes—
896C13×C22⋊C4C2412yes—
897C13×C22⋊C4C2412yes—
898C13×C22⋊C4C2414yes—
899C13×C22⋊C4C2414yes—
900C13×C22⋊C4C2412yes—
901C13×C22⋊C4C2414yes—
902C13×C22⋊C4C2414yes—
903C13×C22⋊C4C2414yes—
904C13×C22⋊C4C2414yes—
905C13×C22⋊C4C2414yes—
906C13×C22⋊C4C2414yes—
907C13×C22⋊C4C2414yes—
908C42×C13C2412yes—
909C42×C13C2414yes—
910C22⋊Dic13C2412yes—
911C22⋊Dic13C2412yes—
912C22⋊Dic13C2414yes—
913C22⋊Dic13C2412yes—
914C22⋊Dic13C2412yes—
915C22⋊Dic13C2412yes—
916C22⋊Dic13C2414yes—
917C22⋊Dic13C2414yes—
918C22⋊Dic13C2414yes—
919C22⋊Dic13C2412yes—
920C22⋊Dic13C2414yes—
921C22⋊Dic13C2412yes—
922#6103C2412yes—
923#6103C2412yes—
924#6103C2414yes—
925#6103C2414yes—
926#6103C2414yes—
927#6103C2414yes—
928#6103C2414yes—
929#6103C2414yes—
930#6103C2414yes—
931#6103C2414yes—
932#6103C2414yes—
933#6103C2414yes—
934#6103C2414yes—
935#6103C2414yes—
936#6103C2414yes—
937#6103C2414yes—
938#6103C2414yes—
939#6103C2414yes—
940#6103C2412yes—
941#6103C2414yes—
942#6103C2414yes—
943#6103C2414yes—
944#6103C2412yes—
945#6103C2412yes—
946#6103C2414yes—
947#6103C2412yes—
948#6103C2414yes—
949#6103C2414yes—
950#6103C2414yes—
951#6103C2414yes—
952C4⋊Dic13C2412yes—
953C4⋊Dic13C2412yes—
954C4⋊Dic13C2414yes—
955C4⋊Dic13C2412yes—
956C4⋊Dic13C2412yes—
957C4⋊Dic13C2414yes—
958C4⋊Dic13C2414yes—
959C4⋊Dic13C2414yes—
960C4⋊Dic13C2414yes—
961C4⋊Dic13C2412yes—
962C4⋊Dic13C2412yes—
963C4⋊Dic13C2412yes—
964C4⋊Dic13C2411yescharacteristic
965C4⋊Dic13C2412yes—
966C4⋊Dic13C2414yes—
967C4⋊Dic13C2411yescharacteristic
968#6101C2412yes—
969#6101C2414yes—
970#6101C2412yes—
971#6101C2412yes—
972#6101C2412yes—
973#6101C2414yes—
974#6101C2414yes—
975#6101C2414yes—
976#6101C2412yes—
977#6101C2412yes—
978#6101C2414yes—
979#6101C2414yes—
980#6101C2412yes—
981#6101C2412yes—
982#6101C2412yes—
983#6101C2412yes—
984#6101C2414yes—
985#6101C2414yes—
986#6101C2414yes—
987#6101C2414yes—
988C4×Dic13C2411yescharacteristic
989C4×Dic13C2412yes—
990C4×Dic13C2411yescharacteristic
991C4×Dic13C2414yes—
992C4×Dic13C2414yes—
993C4×Dic13C2412yes—
994C4×Dic13C2411yescharacteristic
995C4×Dic13C2412yes—
996C4×Dic13C2414yes—
997C4×Dic13C2414yes—
998C4×Dic13C2411yescharacteristic
999C4×Dic13C2411yescharacteristic
1000C4×Dic13C2411yescharacteristic
1001C4×Dic13C2412yes—
1002C4×Dic13C2412yes—
1003C4×Dic13C2411yescharacteristic
1004C4×Dic13C2411yescharacteristic
1005C4×Dic13C2414yes—
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#3537—131no—
1027#3536—131no—
1028#3536D1311yescharacteristic, complemented
1029#3534—134no—
1030#3529—134no—
1031#3481—132no—
1032#3481—132no—
1033#3480—132no—
1034D4×#41—132no—
1035D4×#41—134no—
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—41no—
1049C23×C13—42no—
1050C23×C13—42no—
1051C23×C13C2512yes—
1052C23×C13C2514yes—
1053C23×C13C2511yescharacteristic
1054C23×C13C2511yescharacteristic
1055C23×C13C2511yescharacteristic
1056C22×D13—24no—
1057C22×D13—24no—
1058C22×D13—44no—
1059C22×D13—44no—
1060C22×D13—42no—
1061C22×D13—42no—
1062C22×D13—44no—
1063C22×D13—42no—
1064C22×D13—44no—
1065C22×D13—44no—
1066C22×D13—44no—
1067C22×D13—42no—
1068C22×D13C2514yes—
1069C22×D13C2512yes—
1070C22×D13C2514yes—
1071Q8×C13—24no—
1072Q8×C13—44no—
1073Q8×C13—42no—
1074Q8×C13—41no—
1075D4×C13—24no—
1076D4×C13—28no—
1077D4×C13—24no—
1078D4×C13—24no—
1079D4×C13—44no—
1080D4×C13—44no—
1081D4×C13—42no—
1082D4×C13—41no—
1083D4×C13—44no—
1084D4×C13—42no—
1085C2×C4×C13—24no—
1086C2×C4×C13—22no—
1087C2×C4×C13—22no—
1088C2×C4×C13—24no—
1089C2×C4×C13—22no—
1090C2×C4×C13—42no—
1091C2×C4×C13—44no—
1092C2×C4×C13—44no—
1093C2×C4×C13—41no—
1094C2×C4×C13—41no—
1095C2×C4×C13—41no—
1096C2×C4×C13—42no—
1097C2×C4×C13—44no—
1098C2×C4×C13C2511yescharacteristic
1099C2×C4×C13C2512yes—
1100C2×C4×C13C2511yescharacteristic
1101C2×C4×C13C2511yescharacteristic
1102C2×C4×C13C2514yes—
1103C2×C4×C13C2512yes—
1104C2×C4×C13C2512yes—
1105C2×C4×C13C2514yes—
1106C2×C4×C13C2514yes—
1107C2×C4×C13C2511yescharacteristic
1108C22⋊D13—24no—
1109C22⋊D13—28no—
1110C22⋊D13—28no—
1111C22⋊D13—24no—
1112C22⋊D13—24no—
1113C22⋊D13—28no—
1114C22⋊D13—44no—
1115C22⋊D13—44no—
1116C22⋊D13—42no—
1117C22⋊D13—44no—
1118C22⋊D13—44no—
1119C22⋊D13—44no—
1120C22⋊D13—44no—
1121C22⋊D13—42no—
1122C22⋊D13—44no—
1123C22⋊D13—44no—
1124C22⋊D13—44no—
1125C22⋊D13—44no—
1126C22⋊D13—44no—
1127C2×Dic13—22no—
1128C2×Dic13—22no—
1129C2×Dic13—22no—
1130C2×Dic13—22no—
1131C2×Dic13—24no—
1132C2×Dic13—22no—
1133C2×Dic13—28no—
1134C2×Dic13—22no—
1135C2×Dic13—22no—
1136C2×Dic13—42no—
1137C2×Dic13—44no—
1138C2×Dic13—42no—
1139C2×Dic13—41no—
1140C2×Dic13—41no—
1141C2×Dic13—41no—
1142C2×Dic13—41no—
1143C2×Dic13—44no—
1144C2×Dic13—42no—
1145C2×Dic13H(5,𝔽2)14yes—
1146C2×Dic13C2511yescharacteristic
1147C2×Dic13C2512yes—
1148C2×Dic13C2511yescharacteristic
1149C2×Dic13C2511yescharacteristic
1150C2×Dic13C2511yescharacteristic
1151C2×Dic13C2511yescharacteristic
1152C2×Dic13C2514yes—
1153C2×Dic13C2512yes—
1154C2×Dic13C2511yescharacteristic
1155C2×Dic13C2514yes—
1156C2×Dic13C2512yes—
1157C2×Dic13C2511yescharacteristic
1158C2×Dic13C2511yescharacteristic
1159D52—24no—
1160D52—24no—
1161D52—42no—
1162D52—44no—
1163D52—42no—
1164D52—41no—
1165D52—44no—
1166D52—44no—
1167D52—44no—
1168D52—44no—
1169D52—44no—
1170C4×D13—24no—
1171C4×D13—28no—
1172C4×D13—28no—
1173C4×D13—28no—
1174C4×D13—24no—
1175C4×D13—44no—
1176C4×D13—44no—
1177C4×D13—44no—
1178C4×D13—44no—
1179C4×D13—44no—
1180C4×D13—44no—
1181C4×D13—42no—
1182C4×D13—44no—
1183Dic26—28no—
1184Dic26—24no—
1185Dic26—44no—
1186Dic26—41no—
1187Dic26—44no—
1188Dic26—42no—
1189C22×#41—134no—
1190C22×#41—132no—
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#562C2×D1314yescomplemented
1200H(3,𝔽4)—134no—
1201#560—134no—
1202#560—134no—
1203#560—134no—
1204#560—134no—
1205#560—134no—
1206#560—134no—
1207#559—132no—
1208#559—134no—
1209#559—132no—
1210#559—132no—
1211#557—132no—
1212#556—132no—
1213#556—134no—
1214#554—132no—
1215#554—132no—
1216#554—132no—
1217#554C2×D1312yescomplemented
1218#553—134no—
1219#553—134no—
1220#553—132no—
1221#553—134no—
1222#553—132no—
1223#553—134no—
1224#553—132no—
1225#553—132no—
1226#553—132no—
1227#553—132no—
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—132no—
1238#548—134no—
1239#548—134no—
1240#548—134no—
1241#548C2×D1312yescomplemented
1242#547—134no—
1243#547—134no—
1244#547—134no—
1245#547—132no—
1246#547—132no—
1247#547C2×D1312yescomplemented
1248#546—134no—
1249#546—132no—
1250#546—134no—
1251#546—134no—
1252#546—132no—
1253#546—132no—
1254#546—134no—
1255#546—134no—
1256#546—134no—
1257#546—134no—
1258#546—134no—
1259#546—134no—
1260#546—134no—
1261#546C2×D1314yescomplemented
1262#546C2×D1312yescomplemented
1263D42—134no—
1264D42—132no—
1265D42—132no—
1266D42—132no—
1267D42—134no—
1268D42—134no—
1269D42—132no—
1270D42—132no—
1271#544—132no—
1272#544—132no—
1273#543—132no—
1274#543C2×D1312yescomplemented
1275#542—134no—
1276#542—134no—
1277#542—134no—
1278#542—132no—
1279#542—132no—
1280#542—134no—
1281#542—132no—
1282#542C2×D1312yescomplemented
1283#541—134no—
1284#540—134no—
1285#540—134no—
1286#540—134no—
1287#540—132no—
1288#540—132no—
1289#540—132no—
1290#540—132no—
1291#539—134no—
1292#539—134no—
1293#539—134no—
1294#539—134no—
1295#539—134no—
1296#539—134no—
1297#539—134no—
1298#539—132no—
1299#539C2×D1312yescomplemented
1300#538—134no—
1301#538—134no—
1302#538—134no—
1303#538—132no—
1304#538—132no—
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#538—132no—
1314#538C2×D1312yescomplemented
1315#537—134no—
1316#537—132no—
1317#537—132no—
1318#537C2×D1312yescomplemented
1319#537C2×D1312yescomplemented
1320#536—134no—
1321#536—134no—
1322#535—132no—
1323#535—132no—
1324#535—132no—
1325#535—134no—
1326#535—134no—
1327#535—132no—
1328#534—134no—
1329#534—132no—
1330#534—132no—
1331#534—132no—
1332#534—134no—
1333#534—134no—
1334#534—132no—
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—134no—
1359#529—132no—
1360#529—132no—
1361#529—132no—
1362#529—134no—
1363#529—132no—
1364#529—132no—
1365#529—132no—
1366#529—132no—
1367#529—132no—
1368#529—132no—
1369#529—132no—
1370#529—132no—
1371#529—131no—
1372#529—131no—
1373#529—134no—
1374#529—134no—
1375#529—132no—
1376#529—131no—
1377#529—131no—
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—134no—
1391#525—134no—
1392#525—134no—
1393#525—134no—
1394#525—134no—
1395#525—132no—
1396#525—132no—
1397#525—134no—
1398#525C2×D1311yescharacteristic, complemented
1399C2×#123—132no—
1400C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1401C2×#121—132no—
1402C2×#121—131no—
1403C2×#121—131no—
1404C2×#121C2×D1311yescharacteristic, complemented
1405C4×#41—131no—
1406C4×#41—132no—
1407C4×#41—132no—
1408C4×#41—132no—
1409C4×#41—132no—
1410C4×#41—134no—
1411C4×#41—131no—
1412C2×C4×Q8—131no—
1413C2×C4×D4—131no—
1414C2×C4×D4—134no—
1415C2×C4×D4—132no—
1416C2×C4×D4—131no—
1417C2×C4×D4—131no—
1418C2×C4×D4—132no—
1419C2×C4×D4—132no—
1420C2×C4×D4—132no—
1421C2×C4×D4—134no—
1422C2×#117—132no—
1423C22×C42—131no—
1424C22×C13—21no—
1425C22×C13—21no—
1426C22×C13—21no—
1427C22×C13—21no—
1428C22×C13—21no—
1429C22×C13—24no—
1430C22×C13—22no—
1431C22×C13—21no—
1432C22×C13—24no—
1433C22×C13—22no—
1434C22×C13—21no—
1435C22×C13—24no—
1436C22×C13—22no—
1437C22×C13—44no—
1438C22×C13—84no—
1439C22×C13C2×H(5,𝔽2)12yes—
1440C22×C13#58512yes—
1441C22×C13C2611yescharacteristic
1442C2×D13—24no—
1443C2×D13—22no—
1444C2×D13—24no—
1445C2×D13—22no—
1446C2×D13—24no—
1447C2×D13—24no—
1448C2×D13—22no—
1449C2×D13—24no—
1450C2×D13—24no—
1451C2×D13—84no—
1452C2×D13—84no—
1453C2×D13—88no—
1454C2×D13—88no—
1455C4×C13—24no—
1456C4×C13—22no—
1457C4×C13—24no—
1458C4×C13—22no—
1459C4×C13—21no—
1460C4×C13—24no—
1461C4×C13—21no—
1462C4×C13—22no—
1463C4×C13—21no—
1464C4×C13#58512yes—
1465Dic13—22no—
1466Dic13—24no—
1467Dic13—21no—
1468Dic13—21no—
1469Dic13—21no—
1470Dic13—22no—
1471Dic13—22no—
1472Dic13—21no—
1473Dic13—24no—
1474Dic13—21no—
1475Dic13—21no—
1476Dic13C2×H(5,𝔽2)12yes—
1477Dic13C2×H(5,𝔽2)12yes—
1478C2×#41—132no—
1479C2×#41—134no—
1480C2×#41—134no—
1481C2×#41—132no—
1482C2×#41—132no—
1483C2×#41—134no—
1484C2×#41—134no—
1485C2×#41—134no—
1486C2×#41—134no—
1487C2×#41—131no—
1488C2×#41—134no—
1489C2×#41—134no—
1490C2×#41—134no—
1491C2×#41—528no—
1492C2×#41—5216no—
1493C2×#41C22×D1311yescharacteristic
1494C2×#41C22×D1312yes—
1495C2×#41C22×D1314yes—
1496C22×Q8—134no—
1497C22×Q8—132no—
1498C22×Q8C22×D1311yescharacteristic
1499C22×D4—132no—
1500C22×D4—132no—
1501C22×D4—134no—
1502C22×D4—132no—
1503C22×D4—132no—
1504C22×D4—134no—
1505C22×D4—132no—
1506C22×D4—134no—
1507C22×D4—134no—
1508C22×D4—134no—
1509C22×D4—131no—
1510C22×D4—131no—
1511C22×D4—132no—
1512C22×D4C22×D1311yescharacteristic
1513C22×D4C22×D1312yes—
1514C23×C4—131no—
1515C23×C4—132no—
1516C23×C4—131no—
1517C23×C4—132no—
1518C23×C4—132no—
1519C23×C4—134no—
1520C23×C4—134no—
1521C23×C4C22×D1311yescharacteristic
1522C4⋊Q8—131no—
1523C4⋊Q8—134no—
1524C4⋊Q8—132no—
1525C4⋊Q8—132no—
1526C4⋊Q8—132no—
1527C4⋊Q8—132no—
1528C4⋊Q8—131no—
1529C4⋊Q8—131no—
1530C4⋊Q8—134no—
1531C4⋊Q8—132no—
1532C4⋊Q8—134no—
1533C4⋊Q8C22×D1312yes—
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#127—134no—
1543#127—132no—
1544#126—134no—
1545#126—134no—
1546#126—134no—
1547#126—134no—
1548#126—132no—
1549#126—132no—
1550#126—134no—
1551#126—134no—
1552#126—134no—
1553#126—134no—
1554#126—134no—
1555#126—134no—
1556#126—134no—
1557#126—134no—
1558#126—132no—
1559#126—132no—
1560#126—134no—
1561#126—134no—
1562#126—134no—
1563#126—134no—
1564#126—134no—
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—132no—
1579#125—134no—
1580#125—132no—
1581#125C22×D1314yes—
1582#124—132no—
1583#124—132no—
1584#124—132no—
1585#124—132no—
1586#124—131no—
1587#124—134no—
1588#124—132no—
1589#124—134no—
1590#124—134no—
1591#124—131no—
1592#124—134no—
1593#124—134no—
1594#124—134no—
1595#124—134no—
1596#124—132no—
1597#124—132no—
1598#124—134no—
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#124C22×D1312yes—
1608#124C22×D1314yes—
1609#124C22×D1314yes—
1610#123—132no—
1611#123—132no—
1612#123—134no—
1613#123—132no—
1614#123—134no—
1615#123—134no—
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—134no—
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×D1314yes—
1654#123C22×D1312yes—
1655#123C22×D1314yes—
1656C22⋊Q8—134no—
1657C22⋊Q8—134no—
1658C22⋊Q8—134no—
1659C22⋊Q8—134no—
1660C22⋊Q8—132no—
1661C22⋊Q8—134no—
1662C22⋊Q8—131no—
1663C22⋊Q8—131no—
1664C22⋊Q8—134no—
1665C22⋊Q8—134no—
1666C22⋊Q8—134no—
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—134no—
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⋊Q8C22×D1312yes—
1686C22⋊Q8C22×D1312yes—
1687C22⋊Q8C22×D1312yes—
1688C22⋊Q8C22×D1312yes—
1689C22⋊Q8C22×D1314yes—
1690C22⋊Q8C22×D1314yes—
1691C22⋊Q8C22×D1314yes—
1692C22⋊Q8C22×D1314yes—
1693C22⋊Q8C22×D1311yescharacteristic
1694C22⋊Q8C22×D1311yescharacteristic
1695C22⋊Q8C22×D1314yes—
1696C22⋊Q8C22×D1312yes—
1697C22⋊Q8C22×D1314yes—
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—132no—
1713#121—134no—
1714#121—134no—
1715#121—134no—
1716#121—134no—
1717#121—134no—
1718#121—134no—
1719#121—132no—
1720#121—132no—
1721#121—132no—
1722#121—132no—
1723#121—132no—
1724#121—132no—
1725#121—132no—
1726#121—132no—
1727#121—131no—
1728#121—131no—
1729#121—134no—
1730#121—134no—
1731#121—134no—
1732#121—134no—
1733#121—134no—
1734#121—134no—
1735#121—132no—
1736#121—134no—
1737#121—132no—
1738#121—134no—
1739#121—134no—
1740#121—134no—
1741#121—134no—
1742#121—134no—
1743#121—134no—
1744#121—132no—
1745#121—132no—
1746#121—134no—
1747#121—134no—
1748#121—134no—
1749#121—134no—
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#121C22×D1312yes—
1759#121C22×D1312yes—
1760#121C22×D1312yes—
1761#121C22×D1312yes—
1762#121C22×D1314yes—
1763#121C22×D1314yes—
1764#121C22×D1314yes—
1765#121C22×D1311yescharacteristic
1766#121C22×D1311yescharacteristic
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#120—134no—
1788#120—134no—
1789#120—134no—
1790#120—134no—
1791#120—134no—
1792#120C22×D1312yes—
1793#120C22×D1314yes—
1794C4×Q8—132no—
1795C4×Q8—132no—
1796C4×Q8—132no—
1797C4×Q8—132no—
1798C4×Q8—131no—
1799C4×Q8—131no—
1800C4×Q8—132no—
1801C4×Q8—131no—
1802C4×Q8—132no—
1803C4×Q8—131no—
1804C4×Q8—132no—
1805C4×Q8—134no—
1806C4×Q8—132no—
1807C4×Q8—132no—
1808C4×Q8—134no—
1809C4×Q8C22×D1312yes—
1810C4×D4—132no—
1811C4×D4—132no—
1812C4×D4—132no—
1813C4×D4—132no—
1814C4×D4—132no—
1815C4×D4—131no—
1816C4×D4—134no—
1817C4×D4—132no—
1818C4×D4—132no—
1819C4×D4—132no—
1820C4×D4—131no—
1821C4×D4—134no—
1822C4×D4—134no—
1823C4×D4—132no—
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—132no—
1834C4×D4—132no—
1835C4×D4—132no—
1836C4×D4—134no—
1837C4×D4—134no—
1838C4×D4—132no—
1839C4×D4—132no—
1840C4×D4—132no—
1841C4×D4—132no—
1842C4×D4—132no—
1843C4×D4—132no—
1844C4×D4—132no—
1845C4×D4—134no—
1846C4×D4—134no—
1847C4×D4—131no—
1848C4×D4—131no—
1849C4×D4—134no—
1850C4×D4—132no—
1851C4×D4—134no—
1852C4×D4—134no—
1853C4×D4—134no—
1854C4×D4—134no—
1855C4×D4—134no—
1856C4×D4—134no—
1857C4×D4—134no—
1858C4×D4—134no—
1859C4×D4—134no—
1860C4×D4—134no—
1861C4×D4—134no—
1862C4×D4—134no—
1863C4×D4—134no—
1864C4×D4—134no—
1865C4×D4—134no—
1866C4×D4—132no—
1867C4×D4—132no—
1868C4×D4—132no—
1869C4×D4—132no—
1870C4×D4—132no—
1871C4×D4—134no—
1872C4×D4—134no—
1873C4×D4—134no—
1874C4×D4—132no—
1875C4×D4—134no—
1876C4×D4—132no—
1877C4×D4C22×D1314yes—
1878C4×D4C22×D1312yes—
1879C4×D4C22×D1312yes—
1880C4×D4C22×D1312yes—
1881C4×D4C22×D1314yes—
1882#117—131no—
1883#117—132no—
1884#117—132no—
1885#117—134no—
1886#117—134no—
1887#117—134no—
1888#117—134no—
1889#117—134no—
1890#117—132no—
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—132no—
1900#117—132no—
1901#117C22×D1311yescharacteristic
1902C2×C4⋊C4—132no—
1903C2×C4⋊C4—132no—
1904C2×C4⋊C4—131no—
1905C2×C4⋊C4—132no—
1906C2×C4⋊C4—134no—
1907C2×C4⋊C4—131no—
1908C2×C4⋊C4—132no—
1909C2×C4⋊C4—132no—
1910C2×C4⋊C4—134no—
1911C2×C4⋊C4C22×D1312yes—
1912C2×C4⋊C4C22×D1311yescharacteristic
1913C2×C4⋊C4C22×D1311yescharacteristic
1914C2×C4⋊C4C22×D1312yes—
1915C2×C22⋊C4—132no—
1916C2×C22⋊C4—132no—
1917C2×C22⋊C4—132no—
1918C2×C22⋊C4—132no—
1919C2×C22⋊C4—132no—
1920C2×C22⋊C4—132no—
1921C2×C22⋊C4—132no—
1922C2×C22⋊C4—134no—
1923C2×C22⋊C4—134no—
1924C2×C22⋊C4—134no—
1925C2×C22⋊C4—134no—
1926C2×C22⋊C4—134no—
1927C2×C22⋊C4C22×D1312yes—
1928C2×C22⋊C4C22×D1312yes—
1929C2×C22⋊C4C22×D1314yes—
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—42no—
1950C2×C13—44no—
1951C2×C13—41no—
1952C2×C13C22×H(5,𝔽2)11yescharacteristic
1953C2×C13C2×#58511yescharacteristic
1954C2×C13C2×#58511yescharacteristic
1955D13—42no—
1956D13—44no—
1957D13—44no—
1958C24—132no—
1959C24—132no—
1960C24—134no—
1961C24—134no—
1962C24C23×D1311yescharacteristic
1963C24C23×D1312yes—
1964#41—42no—
1965#41—48no—
1966#41—44no—
1967#41—2616no—
1968#41—268no—
1969#41—522no—
1970#41—528no—
1971#41—528no—
1972#41—528no—
1973#41—528no—
1974#41—528no—
1975#41—528no—
1976#41—528no—
1977#41—524no—
1978#41—528no—
1979#41—524no—
1980C2×Q8—42no—
1981C2×Q8—134no—
1982C2×Q8—132no—
1983C2×Q8—132no—
1984C2×Q8—131no—
1985C2×Q8—134no—
1986C2×Q8—134no—
1987C2×Q8—524no—
1988C2×Q8—528no—
1989C2×Q8C23×D1312yes—
1990C2×Q8C23×D1312yes—
1991C2×Q8C23×D1311yescharacteristic
1992C2×Q8C23×D1314yes—
1993C2×D4—42no—
1994C2×D4—44no—
1995C2×D4—132no—
1996C2×D4—134no—
1997C2×D4—132no—
1998C2×D4—134no—
1999C2×D4—132no—
2000C2×D4—134no—
2001C2×D4—132no—
2002C2×D4—134no—
2003C2×D4—134no—
2004C2×D4—132no—
2005C2×D4—134no—
2006C2×D4—134no—
2007C2×D4—134no—
2008C2×D4—134no—
2009C2×D4—134no—
2010C2×D4—134no—
2011C2×D4—134no—
2012C2×D4—134no—
2013C2×D4—134no—
2014C2×D4—132no—
2015C2×D4—132no—
2016C2×D4—132no—
2017C2×D4—131no—
2018C2×D4—134no—
2019C2×D4—134no—
2020C2×D4—134no—
2021C2×D4—132no—
2022C2×D4—134no—
2023C2×D4—134no—
2024C2×D4—134no—
2025C2×D4—522no—
2026C2×D4—522no—
2027C2×D4—524no—
2028C2×D4—524no—
2029C2×D4—528no—
2030C2×D4—524no—
2031C2×D4—524no—
2032C2×D4—528no—
2033C2×D4—528no—
2034C2×D4—528no—
2035C2×D4—524no—
2036C2×D4—524no—
2037C2×D4—528no—
2038C2×D4C23×D1312yes—
2039C2×D4C23×D1312yes—
2040C2×D4C23×D1314yes—
2041C2×D4C23×D1312yes—
2042C2×D4C23×D1311yescharacteristic
2043C2×D4C23×D1314yes—
2044C2×D4C23×D1312yes—
2045C2×D4C23×D1312yes—
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—131no—
2060C22×C4—131no—
2061C22×C4—131no—
2062C22×C4—131no—
2063C22×C4—132no—
2064C22×C4—132no—
2065C22×C4—134no—
2066C22×C4—132no—
2067C22×C4—134no—
2068C22×C4—132no—
2069C22×C4—134no—
2070C22×C4—132no—
2071C22×C4—134no—
2072C22×C4—134no—
2073C22×C4—132no—
2074C22×C4—134no—
2075C22×C4—134no—
2076C22×C4—134no—
2077C22×C4—134no—
2078C22×C4—134no—
2079C22×C4—134no—
2080C22×C4—134no—
2081C22×C4—268no—
2082C22×C4—264no—
2083C22×C4—524no—
2084C22×C4—528no—
2085C22×C4—528no—
2086C22×C4—524no—
2087C22×C4—522no—
2088C22×C4C23×D1311yescharacteristic
2089C22×C4C23×D1311yescharacteristic
2090C22×C4C23×D1311yescharacteristic
2091C22×C4C23×D1312yes—
2092C22×C4C23×D1312yes—
2093C22×C4C23×D1311yescharacteristic
2094C22×C4C23×D1311yescharacteristic
2095C22×C4C23×D1311yescharacteristic
2096C22×C4C23×D1312yes—
2097C22×C4C23×D1314yes—
2098C22×C4C23×D1312yes—
2099C22×C4C23×D1314yes—
2100C22×C4C23×D1314yes—
2101C4⋊C4—134no—
2102C4⋊C4—132no—
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—132no—
2118C4⋊C4—134no—
2119C4⋊C4—132no—
2120C4⋊C4—132no—
2121C4⋊C4—132no—
2122C4⋊C4—134no—
2123C4⋊C4—132no—
2124C4⋊C4—134no—
2125C4⋊C4—134no—
2126C4⋊C4—132no—
2127C4⋊C4—132no—
2128C4⋊C4—132no—
2129C4⋊C4—132no—
2130C4⋊C4—132no—
2131C4⋊C4—132no—
2132C4⋊C4—132no—
2133C4⋊C4—131no—
2134C4⋊C4—134no—
2135C4⋊C4—132no—
2136C4⋊C4—131no—
2137C4⋊C4C23×D1312yes—
2138C4⋊C4C23×D1314yes—
2139C4⋊C4C23×D1312yes—
2140C4⋊C4C23×D1314yes—
2141C4⋊C4C23×D1314yes—
2142C4⋊C4C23×D1312yes—
2143C4⋊C4C23×D1314yes—
2144C4⋊C4C23×D1312yes—
2145C4⋊C4C23×D1314yes—
2146C4⋊C4C23×D1312yes—
2147C4⋊C4C23×D1312yes—
2148C4⋊C4C23×D1314yes—
2149C4⋊C4C23×D1311yescharacteristic
2150C4⋊C4C23×D1311yescharacteristic
2151C22⋊C4—132no—
2152C22⋊C4—132no—
2153C22⋊C4—134no—
2154C22⋊C4—134no—
2155C22⋊C4—132no—
2156C22⋊C4—132no—
2157C22⋊C4—134no—
2158C22⋊C4—134no—
2159C22⋊C4—132no—
2160C22⋊C4—132no—
2161C22⋊C4—134no—
2162C22⋊C4—132no—
2163C22⋊C4—134no—
2164C22⋊C4—134no—
2165C22⋊C4—132no—
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—134no—
2180C22⋊C4—134no—
2181C22⋊C4—134no—
2182C22⋊C4—134no—
2183C22⋊C4—134no—
2184C22⋊C4—134no—
2185C22⋊C4—134no—
2186C22⋊C4—132no—
2187C22⋊C4—132no—
2188C22⋊C4—132no—
2189C22⋊C4—132no—
2190C22⋊C4—134no—
2191C22⋊C4—132no—
2192C22⋊C4—134no—
2193C22⋊C4C23×D1314yes—
2194C22⋊C4C23×D1314yes—
2195C22⋊C4C23×D1314yes—
2196C22⋊C4C23×D1312yes—
2197C22⋊C4C23×D1314yes—
2198C22⋊C4C23×D1314yes—
2199C22⋊C4C23×D1314yes—
2200C22⋊C4C23×D1314yes—
2201C22⋊C4C23×D1314yes—
2202C22⋊C4C23×D1312yes—
2203C22⋊C4C23×D1312yes—
2204C22⋊C4C23×D1312yes—
2205C22⋊C4C23×D1314yes—
2206C22⋊C4C23×D1312yes—
2207C42—131no—
2208C42—131no—
2209C42—132no—
2210C42—132no—
2211C42—131no—
2212C42—131no—
2213C42—134no—
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—41no—
2240C23—42no—
2241C23—42no—
2242C23—134no—
2243C23—132no—
2244C23—134no—
2245C23—264no—
2246C23—264no—
2247C23—522no—
2248C23—524no—
2249C23—524no—
2250C23—522no—
2251C23—522no—
2252C23—522no—
2253C23—524no—
2254C23—524no—
2255C23—524no—
2256C23—524no—
2257C23C24×D1312yes—
2258C23C24×D1314yes—
2259C23C24×D1311yescharacteristic
2260C23C24×D1311yescharacteristic
2261C23C24×D1311yescharacteristic
2262Q8—24no—
2263Q8—42no—
2264Q8—44no—
2265Q8—41no—
2266Q8—268no—
2267Q8—264no—
2268Q8—524no—
2269Q8—524no—
2270Q8—521no—
2271Q8—522no—
2272D4—28no—
2273D4—24no—
2274D4—24no—
2275D4—24no—
2276D4—42no—
2277D4—44no—
2278D4—44no—
2279D4—42no—
2280D4—41no—
2281D4—44no—
2282D4—264no—
2283D4—268no—
2284D4—264no—
2285D4—268no—
2286D4—268no—
2287D4—264no—
2288D4—264no—
2289D4—264no—
2290D4—522no—
2291D4—524no—
2292D4—522no—
2293D4—524no—
2294D4—524no—
2295D4—524no—
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—524no—
2309D4—524no—
2310D4—522no—
2311D4—522no—
2312C2×C4—24no—
2313C2×C4—22no—
2314C2×C4—22no—
2315C2×C4—22no—
2316C2×C4—24no—
2317C2×C4—41no—
2318C2×C4—41no—
2319C2×C4—41no—
2320C2×C4—42no—
2321C2×C4—44no—
2322C2×C4—44no—
2323C2×C4—42no—
2324C2×C4—44no—
2325C2×C4—134no—
2326C2×C4—131no—
2327C2×C4—131no—
2328C2×C4—131no—
2329C2×C4—131no—
2330C2×C4—132no—
2331C2×C4—132no—
2332C2×C4—131no—
2333C2×C4—131no—
2334C2×C4—134no—
2335C2×C4—131no—
2336C2×C4—131no—
2337C2×C4—132no—
2338C2×C4—134no—
2339C2×C4—268no—
2340C2×C4—268no—
2341C2×C4—268no—
2342C2×C4—264no—
2343C2×C4—262no—
2344C2×C4—262no—
2345C2×C4—262no—
2346C2×C4—262no—
2347C2×C4—264no—
2348C2×C4—268no—
2349C2×C4—262no—
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—524no—
2359C2×C4—524no—
2360C2×C4—522no—
2361C2×C4—521no—
2362C2×C4—521no—
2363C2×C4—521no—
2364C2×C4—521no—
2365C2×C4—522no—
2366C2×C4—524no—
2367C2×C4—522no—
2368C2×C4—524no—
2369C2×C4—522no—
2370C2×C4C24×D1311yescharacteristic
2371C2×C4C24×D1311yescharacteristic
2372C2×C4C24×D1312yes—
2373C2×C4C24×D1311yescharacteristic
2374C2×C4C24×D1314yes—
2375C2×C4C24×D1312yes—
2376C2×C4C24×D1314yes—
2377C2×C4C24×D1312yes—
2378C2×C4C24×D1314yes—
2379C2×C4C24×D1311yescharacteristic
2380C22—21no—
2381C22—21no—
2382C22—21no—
2383C22—21no—
2384C22—22no—
2385C22—24no—
2386C22—21no—
2387C22—21no—
2388C22—22no—
2389C22—24no—
2390C22—21no—
2391C22—22no—
2392C22—24no—
2393C22—44no—
2394C22—84no—
2395C22—264no—
2396C22—262no—
2397C22—264no—
2398C22—262no—
2399C22—264no—
2400C22—264no—
2401C22—262no—
2402C22—264no—
2403C22—264no—
2404C22—1044no—
2405C22—1044no—
2406C22—1048no—
2407C22—1048no—
2408C22D13×H(5,𝔽2)12yes—
2409C22#1171965212yes—
2410C22C25×D1311yescharacteristic
2411C4—24no—
2412C4—24no—
2413C4—22no—
2414C4—21no—
2415C4—22no—
2416C4—21no—
2417C4—21no—
2418C4—24no—
2419C4—22no—
2420C4—132no—
2421C4—132no—
2422C4—261no—
2423C4—261no—
2424C4—262no—
2425C4—264no—
2426C4—262no—
2427C4—261no—
2428C4—261no—
2429C4—261no—
2430C4—261no—
2431C4—264no—
2432C4—262no—
2433C4#1171965012yes—
2434C2—22no—
2435C2—22no—
2436C2—41no—
2437C2—44no—
2438C2—42no—
2439C2—524no—
2440C2—522no—
2441C2—524no—
2442C2C2×D13×H(5,𝔽2)11yescharacteristic
2443C2C2×#1171965011yescharacteristic
2444C2C2×#1171965211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D13
commutator, socle, cosocleC22×C13C26
FittingC13×#3536C2
hypercenter#3536D13
hypocenterC13#62748
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #3536

Complements

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

NH ≅ G/Ntype
1. #13129421C2semidirect
2. #13129403C2semidirect
3. #13129393C2semidirect
4. #13129385C2semidirect
5. #13129365C2semidirect
6. #13129357C2semidirect
7. #13129353C2semidirect
8. #13129305C2semidirect
9. #13129271C2semidirect
10. #13129198C2semidirect
11. #13129168C2semidirect
12. #13129075C2semidirect
13. #13129071C2semidirect
14. #13129065C2semidirect
15. #13129022C2semidirect
16. #13128973C2semidirect
17. #13128447C2semidirect
18. #13128441C2semidirect
19. #13128426C2semidirect
20. #13128323C2semidirect
21. #13128320C2semidirect
22. #13128256C2semidirect
23. #13128253C2semidirect
24. #13128248C2semidirect
25. #13128247C2semidirect
26. #13128222C2semidirect
27. #13128164C2semidirect
28. #13128128C2semidirect
29. C2×#11719301C2semidirect
30. C2×#11719329C2semidirect
31. C13×#3536C2semidirect
32. C2×#41×D13C22semidirect
33. C22×#6129C22semidirect
34. C13×#562C22semidirect
35. C13×#554C22semidirect
36. C13×#548C22semidirect
37. C13×#547C22semidirect
38. C13×#546C22semidirect
39. C13×#546C22semidirect
40. C13×#543C22semidirect
41. C13×#542C22semidirect
42. C13×#539C22semidirect
43. C13×#538C22semidirect
44. C13×#537C22semidirect
45. C13×#537C22semidirect
46. C13×#525C22semidirect
47. C2×C13×C22⋊Q8C22semidirect
48. C2×C13×#121C22semidirect
49. #11719539C22semidirect
50. #11719538C22semidirect
51. #11719537C22semidirect
52. #11719535C22semidirect
53. #11719535C22semidirect
54. #11719534C22semidirect
55. #11719534C22semidirect
56. #41×Dic13C22semidirect
57. #41×Dic13C22semidirect
58. #11719529C22semidirect
59. #11719522C22semidirect
60. C2×#88201C22semidirect
61. C2×Q8×Dic13C22semidirect
62. C2×#88194C22semidirect
63. C2×#88193C22semidirect
64. D4×C22⋊D13C22semidirect
65. D4×C22⋊D13C22semidirect
66. C2×D4×Dic13C22semidirect
67. #11719496C22semidirect
69. C2×#88184C22semidirect
70. C22×C4×Dic13C22semidirect
71. #11719435C22semidirect
72. #11719434C22semidirect
73. #11719432C22semidirect
74. #11719430C22semidirect
75. #11719415C22semidirect
76. #11719412C22semidirect
77. #11719411C22semidirect
78. #11719409C22semidirect
79. #11719404C22semidirect
80. #11719401C22semidirect
81. #11719400C22semidirect
82. #11719396C22semidirect
83. #11719389C22semidirect
84. #11719388C22semidirect
85. #11719386C22semidirect
86. #11719386C22semidirect
87. #11719386C22semidirect
88. #11719385C22semidirect
89. #11719385C22semidirect
90. #11719383C22semidirect
91. #11719383C22semidirect
92. #11719382C22semidirect
93. #11719379C22semidirect
94. #11719373C22semidirect
95. #11719372C22semidirect
96. #11719372C22semidirect
97. #11719371C22semidirect
98. #11719371C22semidirect
99. #11719370C22semidirect
100. #11719368C22semidirect
101. #11719368C22semidirect
102. #11719365C22semidirect
103. #11719363C22semidirect
104. #11719361C22semidirect
105. #11719361C22semidirect
106. #11719361C22semidirect
107. #11719360C22semidirect
108. #11719360C22semidirect
109. #11719359C22semidirect
110. #11719359C22semidirect
111. #11719354C22semidirect
112. #11719354C22semidirect
113. #11719354C22semidirect
114. #11719352C22semidirect
115. #11719352C22semidirect
116. #11719351C22semidirect
117. #11719351C22semidirect
118. #11719350C22semidirect
119. #11719350C22semidirect
120. #11719350C22semidirect
121. #11719349C22semidirect
122. #11719349C22semidirect
123. #11719349C22semidirect
124. #11719349C22semidirect
125. #11719349C22semidirect
126. #11719348C22semidirect
127. #11719348C22semidirect
128. #11719348C22semidirect
129. #11719346C22semidirect
130. #11719346C22semidirect
131. #11719345C22semidirect
132. #11719345C22semidirect
133. #11719342C22semidirect
134. #11719342C22semidirect
135. #11719340C22semidirect
136. #11719339C22semidirect
137. #11719338C22semidirect
138. #11719337C22semidirect
139. #11719335C22semidirect
140. #11719335C22semidirect
141. #11719334C22semidirect
142. #11719333C22semidirect
143. #11719333C22semidirect
144. #11719332C22semidirect
145. #11719332C22semidirect
146. #11719332C22semidirect
147. #11719332C22semidirect
148. #11719329C22semidirect
149. #11719329C22semidirect
150. #11719329C22semidirect
151. #11719329C22semidirect
152. #11719329C22semidirect
153. #11719329C22semidirect
154. #11719329C22semidirect
155. #11719329C22semidirect
156. #11719329C22semidirect
157. #11719329C22semidirect
158. #11719329C22semidirect
159. #11719329C22semidirect
160. #11719329C22semidirect
161. #11719327C22semidirect
162. #11719327C22semidirect
163. #11719325C22semidirect
164. #11719325C22semidirect
165. #11719325C22semidirect
166. #11719325C22semidirect
167. #11719324C22semidirect
168. #11719324C22semidirect
169. #11719324C22semidirect
170. #11719323C22semidirect
171. #11719323C22semidirect
172. #11719322C22semidirect
173. #11719322C22semidirect
174. #11719322C22semidirect
175. #11719319C22semidirect
176. #11719318C22semidirect
177. #11719315C22semidirect
178. #11719315C22semidirect
179. #11719314C22semidirect
180. #11719314C22semidirect
181. #11719312C22semidirect
182. #11719312C22semidirect
183. #11719312C22semidirect
184. #11719311C22semidirect
185. #11719311C22semidirect
186. #11719311C22semidirect
187. #11719310C22semidirect
188. #11719310C22semidirect
189. #11719310C22semidirect
190. #11719310C22semidirect
191. #11719306C22semidirect
192. #11719305C22semidirect
193. #11719305C22semidirect
194. #11719304C22semidirect
195. #11719301C22semidirect
196. #11719301C22semidirect
197. #11719301C22semidirect
198. #11719301C22semidirect
199. #11719301C22semidirect
200. #11719301C22semidirect
201. #11719301C22semidirect
202. #11719301C22semidirect
203. #11719301C22semidirect
204. #11719301C22semidirect
205. #11719301C22semidirect
206. #11719301C22semidirect
207. #11719301C22semidirect
208. #11719296C22semidirect
209. #11719295C22semidirect
210. #11719295C22semidirect
211. #11719294C22semidirect
212. #11719291C22semidirect
213. #11719291C22semidirect
214. #11719291C22semidirect
215. #11719290C22semidirect
216. #11719287C22semidirect
217. C4×#6131C22semidirect
218. #11719274C22semidirect
219. #11719270C22semidirect
220. #11719270C22semidirect
221. #11719270C22semidirect
222. #11719269C22semidirect
223. #11719267C22semidirect
224. #11719265C22semidirect
225. #11719259C22semidirect
226. #11719259C22semidirect
227. #11719258C22semidirect
228. #11719257C22semidirect
229. D4×D52C22semidirect
230. D4×D52C22semidirect
231. C4×D4×D13C22semidirect
232. C4×D4×D13C22semidirect
233. #11719244C22semidirect
234. #11719243C22semidirect
235. #11719243C22semidirect
236. C4×#6129C22semidirect
237. C4×#6129C22semidirect
238. C4×#6129C22semidirect
239. #11719240C22semidirect
240. #11719227C22semidirect
241. #11719222C22semidirect
242. #11719220C22semidirect
243. #11719219C22semidirect
244. #11719219C22semidirect
245. C2×#88152C22semidirect
246. #11719215C22semidirect
247. #11719212C22semidirect
248. #11719212C22semidirect
249. C2×#88147C22semidirect
250. C2×#88147C22semidirect
251. C2×#88147C22semidirect
252. C2×#88146C22semidirect
253. #11719205C22semidirect
254. C2×#88144C22semidirect
255. C2×#88142C22semidirect
256. #11719200C22semidirect
257. #11719199C22semidirect
258. #11719198C22semidirect
259. #11719198C22semidirect
260. C2×#88140C22semidirect
261. C2×#88139C22semidirect
262. #11719195C22semidirect
263. #11719195C22semidirect
264. C2×#88135C22semidirect
265. C2×#88135C22semidirect
266. C2×#88135C22semidirect
1028. #3536D13semidirect
1199. #562C2×D13semidirect
1217. #554C2×D13semidirect
1241. #548C2×D13semidirect
1247. #547C2×D13semidirect
1261. #546C2×D13semidirect
1262. #546C2×D13semidirect
1274. #543C2×D13semidirect
1282. #542C2×D13semidirect
1299. #539C2×D13semidirect
1314. #538C2×D13semidirect
1318. #537C2×D13semidirect
1319. #537C2×D13semidirect
1398. #525C2×D13semidirect
1400. C2×C22⋊Q8C2×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
#131294212
#131294032
#131293932
#131293852
#131293652
#131293572
#131293532
#131293052
#131292712
#131291982
#131291682
#131290752
#131290712
#131290652
#131290222
#131289732
#131284472
#131284412
#131284262
#131283232
#131283202
#131282562
#131282532
#131282482
#131282472
#131282222
#131281642
#131281282
C2×#117193012
C2×#117193292
C13×#35362
#6274813