Finite Group Databasebeta

← D13×#3241 #16735100

Subgroups — D13×#3241 #16735100

Order 3328.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D13×#544C211yesmaximal, characteristic, complemented
2D13×#540C211yesmaximal, characteristic
3#13126096C211yesmaximal, characteristic, complemented
4#13126095C211yesmaximal, characteristic, complemented
5#13126094C211yesmaximal, characteristic, complemented
6#13126093C211yesmaximal, characteristic, complemented
7#13126092C211yesmaximal, characteristic, complemented
8#13126091C211yesmaximal, characteristic, complemented
9#13126090C211yesmaximal, characteristic, complemented
10#13126089C211yesmaximal, characteristic, complemented
11#13126088C211yesmaximal, characteristic, complemented
12#13126087C211yesmaximal, characteristic, complemented
13#13126086C211yesmaximal, characteristic, complemented
14#13126085C211yesmaximal, characteristic, complemented
15#13126084C211yesmaximal, characteristic, complemented
16#13126083C211yesmaximal, characteristic, complemented
17#13126082C211yesmaximal, characteristic, complemented
18D13×#501C211yesmaximal, characteristic, complemented
19D13×#499C211yesmaximal, characteristic, complemented
20D13×#490C211yesmaximal, characteristic, complemented
21D13×#486C211yesmaximal, characteristic, complemented
22D13×#481C211yesmaximal, characteristic, complemented
23D13×#482C211yesmaximal, characteristic, complemented
24D13×#482C211yesmaximal, characteristic, complemented
25D13×#480C211yesmaximal, characteristic, complemented
26D13×#478C211yesmaximal, characteristic, complemented
27D13×#478C211yesmaximal, characteristic, complemented
28D13×#476C211yesmaximal, characteristic, complemented
29D13×#474C211yesmaximal, characteristic, complemented
30D13×#433C211yesmaximal, characteristic, complemented
31C13×#3241C211yesmaximal, characteristic, complemented
32C13×#544C2211yescharacteristic, complemented
33C13×#540C2211yescharacteristic
34#11719434—21no—
35#11719434C2211yescharacteristic, complemented
36#11719434C2211yescharacteristic, complemented
37D13×C4⋊Q8—21no—
38D13×C4⋊Q8C2211yescharacteristic
39D13×C4⋊Q8C2211yescharacteristic
40#11719424C2211yescharacteristic
41D13×#127C2211yescharacteristic
42#11719403C2211yescharacteristic
43#11719394—21no—
44#11719394C2211yescharacteristic, complemented
45#11719394C2211yescharacteristic, complemented
46D13×#125—21no—
47D13×#125C2211yescharacteristic
48D13×#125C2211yescharacteristic
49D13×#125C2211yescharacteristic
50#11719368—21no—
51#11719368—21no—
52D13×#123—21no—
53D13×#123—21no—
54D13×C22⋊Q8—21no—
55D13×C22⋊Q8—21no—
56#11719328—21no—
57#11719328—21no—
58#11719324C2211yescharacteristic
59#11719324C2211yescharacteristic
60#11719320—21no—
61#11719320—21no—
62D13×#121—21no—
63D13×#121—21no—
64D13×#121C2211yescharacteristic
65D13×#121C2211yescharacteristic
66#11719267C2211yescharacteristic
67#11719267C2211yescharacteristic
68C4×D4×D13C2211yescharacteristic
69C4×D4×D13C2211yescharacteristic
70#11719240C2211yescharacteristic
71D13×#117C2211yescharacteristic
72D13×#117C2211yescharacteristic
73#11719224C2211yescharacteristic, complemented
74#11719224C2211yescharacteristic, complemented
75C2×C4⋊C4×D13C2211yescharacteristic
76#11719205C2211yescharacteristic, complemented
77C13×#501C2211yescharacteristic, complemented
78C13×#499C2211yescharacteristic, complemented
79C13×#490C2211yescharacteristic, complemented
80C13×#486C2211yescharacteristic, complemented
81C13×#482C2211yescharacteristic, complemented
82C13×#482C2211yescharacteristic, complemented
83C13×#481C2211yescharacteristic, complemented
84C13×#480C2211yescharacteristic, complemented
85C13×#478C2211yescharacteristic, complemented
86C13×#478C2211yescharacteristic, complemented
87C13×#476C2211yescharacteristic, complemented
88C13×#474C2211yescharacteristic, complemented
89C13×#433C2211yescharacteristic, complemented
90#11718749C2211yescharacteristic, complemented
91#11718748C2211yescharacteristic, complemented
92#11718745C2211yescharacteristic, complemented
93#11718741C2211yescharacteristic, complemented
94#11718732C2211yescharacteristic, complemented
95#11718731C2211yescharacteristic, complemented
96#11718728C2211yescharacteristic, complemented
97#11718727C2211yescharacteristic, complemented
98#11718727C2211yescharacteristic, complemented
99#11718726C2211yescharacteristic, complemented
100#11718725C2211yescharacteristic, complemented
101#11718725C2211yescharacteristic, complemented
102#11718696C2211yescharacteristic, complemented
103#11718696C2211yescharacteristic, complemented
104#11718695C2211yescharacteristic, complemented
105#11718694C2211yescharacteristic, complemented
106#11718670C2211yescharacteristic, complemented
107#11718670C2211yescharacteristic, complemented
108#11718669C2211yescharacteristic, complemented
109#11718668C2211yescharacteristic, complemented
110#11718664C2211yescharacteristic, complemented
111#11718664C2211yescharacteristic, complemented
112#11718661C2211yescharacteristic, complemented
113#11718629C2211yescharacteristic, complemented
114#11718628C2211yescharacteristic, complemented
115#11718552C2211yescharacteristic, complemented
116#11718552C2211yescharacteristic, complemented
117#11718551C2211yescharacteristic, complemented
118#11718551C2211yescharacteristic, complemented
119#11718546C2211yescharacteristic, complemented
120#11718546C2211yescharacteristic, complemented
121#11718543C2211yescharacteristic, complemented
122#11718543C2211yescharacteristic, complemented
123D13×#107C2211yescharacteristic
124D13×#107C2211yescharacteristic
125D13×#107C2211yescharacteristic
126D13×#107C2211yescharacteristic
127#11718539C2211yescharacteristic, complemented
128#11718539C2211yescharacteristic, complemented
129#11718537C2211yescharacteristic, complemented
130#11718537C2211yescharacteristic, complemented
131#11718532C2211yescharacteristic, complemented
132#11718532C2211yescharacteristic, complemented
133#11718531C2211yescharacteristic, complemented
134#11718531C2211yescharacteristic, complemented
135#11718527C2211yescharacteristic, complemented
136#11718527C2211yescharacteristic, complemented
137#11718524C2211yescharacteristic, complemented
138#11718524C2211yescharacteristic, complemented
139D13×#106C2211yescharacteristic
140D13×#106C2211yescharacteristic
141D13×#106C2211yescharacteristic
142D13×#106C2211yescharacteristic
143#11718519C2211yescharacteristic, complemented
144#11718519C2211yescharacteristic, complemented
145#11718517C2211yescharacteristic, complemented
146#11718517C2211yescharacteristic, complemented
147#11718508C2211yescharacteristic, complemented
148#11718508C2211yescharacteristic, complemented
149#11718507C2211yescharacteristic, complemented
150#11718503C2211yescharacteristic, complemented
151#11718501C2211yescharacteristic, complemented
152#11718501C2211yescharacteristic, complemented
153D13×C4⋊C8C2211yescharacteristic
154D13×C4⋊C8C2211yescharacteristic
155#11718445C2211yescharacteristic, complemented
156#11718445C2211yescharacteristic, complemented
157#11718440C2211yescharacteristic, complemented
158#11718440C2211yescharacteristic, complemented
159#11718438C2211yescharacteristic, complemented
160#11718438C2211yescharacteristic, complemented
161#11718435C2211yescharacteristic, complemented
162#11718435C2211yescharacteristic, complemented
163D13×#102C2211yescharacteristic
164D13×#102C2211yescharacteristic
165D13×#102C2211yescharacteristic
166D13×#102C2211yescharacteristic
167D13×#102C2211yescharacteristic
168D13×#102C2211yescharacteristic
169D13×#102C2211yescharacteristic
170D13×#102C2211yescharacteristic
171#11718427C2211yescharacteristic, complemented
172#11718427C2211yescharacteristic, complemented
173#11718425C2211yescharacteristic, complemented
174#11718425C2211yescharacteristic, complemented
175#11718425C2211yescharacteristic, complemented
176#11718425C2211yescharacteristic, complemented
177#11718424C2211yescharacteristic, complemented
178#11718424C2211yescharacteristic, complemented
179#11718422C2211yescharacteristic, complemented
180#11718422C2211yescharacteristic, complemented
181#11718421C2211yescharacteristic, complemented
182#11718421C2211yescharacteristic, complemented
183#11718421C2211yescharacteristic, complemented
184#11718421C2211yescharacteristic, complemented
185#11718420C2211yescharacteristic, complemented
186#11718420C2211yescharacteristic, complemented
187#11718398C2211yescharacteristic, complemented
188#11718398C2211yescharacteristic, complemented
189#11718397C2211yescharacteristic, complemented
190#11718396C2211yescharacteristic, complemented
191D13×C22⋊C8C2211yescharacteristic
192D13×C22⋊C8C2211yescharacteristic
193#11718381C2211yescharacteristic, complemented
194#11718381C2211yescharacteristic, complemented
195#11718374C2211yescharacteristic, complemented
196#11718370C2211yescharacteristic, complemented
197D13×#97C2211yescharacteristic
198#11718363C2211yescharacteristic, complemented
199#11718355C2211yescharacteristic, complemented
200#11718351C2211yescharacteristic, complemented
201C4×C8×D13C2211yescharacteristic
202#11718344C2211yescharacteristic, complemented
203C2×Q8×D13—21no—
204C2×Q8×D13—21no—
205C2×D4×D13—21no—
206C2×D4×D13—21no—
207C2×D4×D13—21no—
208C2×D4×D13—21no—
209C2×D4×D13C2311yescharacteristic
210C2×D4×D13C2311yescharacteristic
211C22×C4×D13—21no—
212C22×C4×D13—21no—
213C22×C4×D13—21no—
214C22×C4×D13C2311yescharacteristic
215C13×C4⋊Q8—21no—
216C13×C4⋊Q8C2311yescharacteristic
217C13×C4⋊Q8C2311yescharacteristic
218C13×#127C2311yescharacteristic
219C13×#125—21no—
220C13×#125C2311yescharacteristic
221C13×#125C2311yescharacteristic
222C13×#125C2311yescharacteristic
223C13×#123—21no—
224C13×#123—21no—
225C13×C22⋊Q8—21no—
226C13×C22⋊Q8—21no—
227C13×#121—21no—
228C13×#121—21no—
229C13×#121C2311yescharacteristic
230C13×#121C2311yescharacteristic
231C4×D4×C13C2311yescharacteristic
232C4×D4×C13C2311yescharacteristic
233C13×#117C2311yescharacteristic
234C13×#117C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236#88200—21no—
237#88200—21no—
238#88198—21no—
239#88198—21no—
240#88198—21no—
241#88198—21no—
242#88194—21no—
243#88194—21no—
244#88194C2311yescharacteristic
245#88194C2311yescharacteristic
246#88193—21no—
247#88193—21no—
248#88193—21no—
249#88193—21no—
250#88193—21no—
251#88193—21no—
252#88192—21no—
253#88192—21no—
254#88192C2311yescharacteristic
255#88192C2311yescharacteristic
256#88189—21no—
257#88189—21no—
258D4×Dic13C2311yescharacteristic
259D4×Dic13C2311yescharacteristic
260#88184—21no—
261#88184—21no—
262#88184C2311yescharacteristic
263#88184C2311yescharacteristic
264#88183—21no—
265#88183—21no—
266C4×C22⋊D13—21no—
267C4×C22⋊D13—21no—
268#88180C2311yescharacteristic
269#88180C2311yescharacteristic
270C2×C4⋊Dic13C2311yescharacteristic
271#88178—21no—
272#88178—21no—
273C2×#6101—21no—
274C2×C8×D13C2311yescharacteristic
275C2×C8×D13C2311yescharacteristic
276C2×C8×D13C2311yescharacteristic
277C2×C8×D13C2311yescharacteristic
278#88151—21no—
279#88151—21no—
280#88150—21no—
281#88150—21no—
282#88150—21no—
283#88150—21no—
284#88149—21no—
285#88149—21no—
286#88149C2311yescharacteristic
287#88149C2311yescharacteristic
288#88148—21no—
289#88148—21no—
290#88148—21no—
291#88148—21no—
292#88147C2311yescharacteristic
293#88147C2311yescharacteristic
294#88146D411yescharacteristic
295#88146D411yescharacteristic
296#88146C2311yescharacteristic
297#88146C2311yescharacteristic
298C4⋊C4×D13—21no—
299C4⋊C4×D13—21no—
300C4⋊C4×D13—21no—
301C4⋊C4×D13—21no—
302C4⋊C4×D13—21no—
303C4⋊C4×D13—21no—
304C4⋊C4×D13—21no—
305C4⋊C4×D13—21no—
306C4⋊C4×D13—21no—
307C4⋊C4×D13—21no—
308C4⋊C4×D13D411yescharacteristic
309C4⋊C4×D13D411yescharacteristic
310C4⋊C4×D13C2311yescharacteristic
311C4⋊C4×D13C2311yescharacteristic
312C4⋊C4×D13C2311yescharacteristic
313C4⋊C4×D13C2311yescharacteristic
314C4⋊C4×D13C2311yescharacteristic
315C4⋊C4×D13C2311yescharacteristic
316C4⋊C4×D13C2311yescharacteristic
317C4⋊C4×D13C2311yescharacteristic
318#88144—21no—
319#88144—21no—
320#88144C2311yescharacteristic
321#88144C2311yescharacteristic
322#88144C2311yescharacteristic
323#88144C2311yescharacteristic
324#88144C2311yescharacteristic
325#88144C2311yescharacteristic
326#88143—21no—
327#88143—21no—
328#88143—21no—
329#88143—21no—
330#88143—21no—
331#88143—21no—
332#88143—21no—
333#88143—21no—
334#88143—21no—
335#88143—21no—
336#88142—21no—
337#88142—21no—
338#88142—21no—
339#88142—21no—
340#88142—21no—
341#88142—21no—
342#88142C2311yescharacteristic
343#88142C2311yescharacteristic
344#88142C2311yescharacteristic
345#88142C2311yescharacteristic
346#88140—21no—
347#88140—21no—
348#88138—21no—
349#88138—21no—
350#88138—21no—
351#88138—21no—
352#88138—21no—
353#88138—21no—
354#88137—21no—
355#88137—21no—
356#88137—21no—
357#88137—21no—
358#88135—21no—
359#88135—21no—
360C22⋊C4×D13—21no—
361C22⋊C4×D13—21no—
362C22⋊C4×D13—21no—
363C22⋊C4×D13—21no—
364C22⋊C4×D13—21no—
365C22⋊C4×D13D411yescharacteristic
366C22⋊C4×D13D411yescharacteristic
367#88132—21no—
368#88132—21no—
369#88132—21no—
370#88132—21no—
371#88131—21no—
372#88131D411yescharacteristic
373#88131D411yescharacteristic
374#88128C2311yescharacteristic
375C4×D52C2311yescharacteristic
376C4×D52C2311yescharacteristic
377#88126—21no—
378#88126C2311yescharacteristic
379#88126C2311yescharacteristic
380C42×D13—21no—
381C42×D13C2311yescharacteristic
382C42×D13C2311yescharacteristic
383#88124—21no—
384#88124C2311yescharacteristic
385#88124C2311yescharacteristic
386#88124C2311yescharacteristic
387#88123—21no—
388#88123C2311yescharacteristic
389#88123C2311yescharacteristic
390C13×#107C2311yescharacteristic
391C13×#107C2311yescharacteristic
392C13×#107C2311yescharacteristic
393C13×#107C2311yescharacteristic
394C13×#106C2311yescharacteristic
395C13×#106C2311yescharacteristic
396C13×#106C2311yescharacteristic
397C13×#106C2311yescharacteristic
398C13×C4⋊C8C2311yescharacteristic
399C13×C4⋊C8C2311yescharacteristic
400C13×#102C2311yescharacteristic
401C13×#102C2311yescharacteristic
402C13×#102C2311yescharacteristic
403C13×#102C2311yescharacteristic
404C13×#102C2311yescharacteristic
405C13×#102C2311yescharacteristic
406C13×#102C2311yescharacteristic
407C13×#102C2311yescharacteristic
408C13×C22⋊C8C2311yescharacteristic
409C13×C22⋊C8C2311yescharacteristic
410C13×#97C2311yescharacteristic
411C4×C8×C13C2311yescharacteristic
412#88072C2311yescharacteristic
413#88072C2311yescharacteristic
414#88072C2311yescharacteristic
415#88072C2311yescharacteristic
416#88072C2311yescharacteristic
417#88072C2311yescharacteristic
418#88072C2311yescharacteristic
419#88072C2311yescharacteristic
420C22⋊#1055C2311yescharacteristic
421C22⋊#1055C2311yescharacteristic
422#88061C2311yescharacteristic
423#88061C2311yescharacteristic
424#88061C2311yescharacteristic
425#88061C2311yescharacteristic
426#88061C2311yescharacteristic
427#88061C2311yescharacteristic
428#88061C2311yescharacteristic
429#88061C2311yescharacteristic
430#88060C2311yescharacteristic
431#88060C2311yescharacteristic
432#88060C2311yescharacteristic
433#88060C2311yescharacteristic
434#88058C2311yescharacteristic
435#88058C2311yescharacteristic
436#88058C2311yescharacteristic
437#88058C2311yescharacteristic
438#88057C2311yescharacteristic
439#88057C2311yescharacteristic
440#88057C2311yescharacteristic
441#88057C2311yescharacteristic
442#88055C2311yescharacteristic
443#88055C2311yescharacteristic
444#88054C2311yescharacteristic
445#88054C2311yescharacteristic
446#88054C2311yescharacteristic
447#88054C2311yescharacteristic
448C8×Dic13C2311yescharacteristic
449C8×Dic13C2311yescharacteristic
450#88049C2311yescharacteristic
451#88049C2311yescharacteristic
452#88049C2311yescharacteristic
453#88049C2311yescharacteristic
454#88049C2311yescharacteristic
455#88049C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88048C2311yescharacteristic
459#88048C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468#88047C2311yescharacteristic
469#88047C2311yescharacteristic
470#88047C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476#88043C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478C2×#3241—131nomaximal, Sylow
479C23×D13—21no—
480C23×D13—21no—
481C23×D13C2×D411yescharacteristic
482C2×Q8×C13—21no—
483C2×Q8×C13—21no—
484C2×D4×C13—21no—
485C2×D4×C13—21no—
486C2×D4×C13—21no—
487C2×D4×C13—21no—
488C2×D4×C13C2411yescharacteristic
489C2×D4×C13C2411yescharacteristic
490C22×C4×C13—21no—
491C22×C4×C13—21no—
492C22×C4×C13—21no—
493C22×C4×C13C2411yescharacteristic
494C2×C22⋊D13—21no—
495C2×C22⋊D13—21no—
496C2×C22⋊D13—21no—
497C2×C22⋊D13—21no—
498C2×C22⋊D13—21no—
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C2×C22⋊D13—21no—
504C22×Dic13—21no—
505C22×Dic13—21no—
506C22×Dic13—21no—
507C22×Dic13C2×D411yescharacteristic
508Q8×D13—82no—
509Q8×D13—82no—
510D4×D13—22no—
511D4×D13—22no—
512D4×D13—22no—
513D4×D13—22no—
514D4×D13—82no—
515D4×D13—82no—
516D4×D13—82no—
517D4×D13—82no—
518C2×D52—21no—
519C2×D52—21no—
520C2×D52—21no—
521C2×D52—21no—
522C2×D52C2411yescharacteristic
523C2×D52C2411yescharacteristic
524C2×C4×D13—22no—
525C2×C4×D13—22no—
526C2×C4×D13—21no—
527C2×C4×D13—21no—
528C2×C4×D13—21no—
529C2×C4×D13—21no—
530C2×C4×D13—21no—
531C2×C4×D13—21no—
532C2×C4×D13—21no—
533C2×C4×D13—21no—
534C2×C4×D13—21no—
535C2×C4×D13—21no—
536C2×C4×D13—21no—
537C2×C4×D13—21no—
538C2×C4×D13—82no—
539C2×C4×D13—82no—
540C2×C4×D13—82no—
541C2×C4×D13C2×D411yescharacteristic
542C2×C4×D13C2×D411yescharacteristic
543C2×C4×D13C2×D411yescharacteristic
544C2×C4×D13C2×D411yescharacteristic
545C2×C4×D13C2×D411yescharacteristic
546C2×C4×D13C2×D411yescharacteristic
547C2×C4×D13C2411yescharacteristic
548C2×C4×D13C2411yescharacteristic
549C2×Dic26—21no—
550C2×Dic26—21no—
551C2×Dic26—21no—
552C2×Dic26—21no—
553C2×Dic26—21no—
554C2×Dic26—21no—
555C2×C8×C13C2411yescharacteristic
556C2×C8×C13C2411yescharacteristic
557C2×C8×C13C2411yescharacteristic
558C2×C8×C13C2411yescharacteristic
559C13×C4⋊C4—21no—
560C13×C4⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4—21no—
564C13×C4⋊C4—21no—
565C13×C4⋊C4—21no—
566C13×C4⋊C4—21no—
567C13×C4⋊C4—21no—
568C13×C4⋊C4C2×D411yescharacteristic
569C13×C4⋊C4C2×D411yescharacteristic
570C13×C4⋊C4C2411yescharacteristic
571C13×C4⋊C4C2411yescharacteristic
572C13×C4⋊C4C2411yescharacteristic
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4C2×D411yescharacteristic
582C13×C22⋊C4C2×D411yescharacteristic
583C42×C13—21no—
584C42×C13C2411yescharacteristic
585C42×C13C2411yescharacteristic
586C22⋊Dic13—21no—
587C22⋊Dic13—21no—
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13—21no—
591C22⋊Dic13C2×D411yescharacteristic
592C22⋊Dic13C2×D411yescharacteristic
593#6103—21no—
594#6103—21no—
595#6103—21no—
596#6103—21no—
597#6103—21no—
598#6103—21no—
599#6103—21no—
600#6103—21no—
601#6103—21no—
602#6103—21no—
603#6103C2×D411yescharacteristic
604#6103C2×D411yescharacteristic
605#6103C2×D411yescharacteristic
606#6103C2×D411yescharacteristic
607C4⋊Dic13—21no—
608C4⋊Dic13—21no—
609C4⋊Dic13—21no—
610C4⋊Dic13—21no—
611C4⋊Dic13—21no—
612C4⋊Dic13—21no—
613C4⋊Dic13—21no—
614C4⋊Dic13—21no—
615C4⋊Dic13—21no—
616C4⋊Dic13C2×D411yescharacteristic
617C4⋊Dic13C2×D411yescharacteristic
618C4⋊Dic13C2411yescharacteristic
619C4⋊Dic13C2411yescharacteristic
620C4⋊Dic13C2411yescharacteristic
621C4⋊Dic13C2411yescharacteristic
622C4⋊Dic13C2411yescharacteristic
623C4⋊Dic13C2411yescharacteristic
624#6101—21no—
625#6101—21no—
626#6101—21no—
627#6101—21no—
628#6101—21no—
629#6101—21no—
630#6101—21no—
631#6101—21no—
632#6101—21no—
633#6101—21no—
634#6101—21no—
635#6101—21no—
636#6101—21no—
637#6101—21no—
638#6101—21no—
639#6101—21no—
640#6101—21no—
641#6101—21no—
642#6101—21no—
643#6101—21no—
644#6101—21no—
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101C2×D411yescharacteristic
649#6101C2×D411yescharacteristic
650#6101C2×D411yescharacteristic
651#6101C2×D411yescharacteristic
652C4×Dic13—21no—
653C4×Dic13—21no—
654C4×Dic13—21no—
655C4×Dic13C2×D411yescharacteristic
656C4×Dic13C2×D411yescharacteristic
657C4×Dic13C2×D411yescharacteristic
658C4×Dic13C2×D411yescharacteristic
659C4×Dic13C2411yescharacteristic
660C4×Dic13C2411yescharacteristic
661C2×#1055C2411yescharacteristic
662C2×#1055C2411yescharacteristic
663C2×#1055C2411yescharacteristic
664C2×#1055C2411yescharacteristic
665C8×D13—22no—
666C8×D13—22no—
667C8×D13—22no—
668C8×D13—22no—
669C2×#544—131no—
670C2×#540—131no—
671#3241—131no—
672#3241—131no—
673#3241—131no—
674#3241—131no—
675#3241—131no—
676#3241—131no—
677#3241—131no—
678#3241—131no—
679#3241—131no—
680#3241—131no—
681#3241—131no—
682#3241—131no—
683#3241—131no—
684#3241—131no—
685#3241—131no—
686#3241D1311yescharacteristic, direct product factor
687C2×#501—131no—
688C2×#499—131no—
689C2×#490—131no—
690C2×#486—131no—
691C2×#481—131no—
692C2×#482—131no—
693C2×#482—131no—
694C2×#480—131no—
695C2×#478—131no—
696C2×#478—131no—
697C2×#476—131no—
698C2×#474—131no—
699C2×#433—131no—
700C23×C13—21no—
701C23×C13—21no—
702C23×C13C22×D411yescharacteristic
703C22×D13—22no—
704C22×D13—22no—
705C22×D13—22no—
706C22×D13—21no—
707C22×D13—21no—
708C22×D13—42no—
709C22×D13—42no—
710C22×D13—42no—
711C22×D13—42no—
712C22×D13—42no—
713C22×D13—42no—
714C22×D13C22×D411yescharacteristic
715C22×D13C22×D411yescharacteristic
716Q8×C13—81no—
717Q8×C13—81no—
718D4×C13—21no—
719D4×C13—21no—
720D4×C13—21no—
721D4×C13—21no—
722D4×C13—81no—
723D4×C13—81no—
724D4×C13—81no—
725D4×C13—81no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—81no—
735C2×C4×C13—81no—
736C2×C4×C13—81no—
737C2×C4×C13C22×D411yescharacteristic
738C2×C4×C13C22×D411yescharacteristic
739C2×C4×C13C22×D411yescharacteristic
740C2×C4×C13C22×D411yescharacteristic
741C2×C4×C13C22×D411yescharacteristic
742C2×C4×C13C2511yescharacteristic
743C22⋊D13—42no—
744C22⋊D13—42no—
745C22⋊D13—81no—
746C22⋊D13—81no—
747C22⋊D13—81no—
748C22⋊D13—81no—
749C22⋊D13—81no—
750C22⋊D13—81no—
751C22⋊D13—81no—
752C22⋊D13—81no—
753C2×Dic13—22no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—81no—
761C2×Dic13—81no—
762C2×Dic13—81no—
763C2×Dic13C22×D411yescharacteristic
764C2×Dic13C22×D411yescharacteristic
765C2×Dic13C22×D411yescharacteristic
766C2×Dic13C22×D411yescharacteristic
767C2×Dic13C22×D411yescharacteristic
768C2×Dic13C22×D411yescharacteristic
769D52—21no—
770D52—21no—
771D52—21no—
772D52—21no—
773D52—81no—
774D52—81no—
775D52—81no—
776D52—81no—
777C4×D13—22no—
778C4×D13—22no—
779C4×D13—22no—
780C4×D13—22no—
781C4×D13—22no—
782C4×D13—21no—
783C4×D13—21no—
784C4×D13—22no—
785C4×D13—42no—
786C4×D13—42no—
787C4×D13—42no—
788C4×D13—42no—
789C4×D13—42no—
790C4×D13—42no—
791C4×D13—81no—
792C4×D13—81no—
793C4×D13—81no—
794C4×D13—81no—
795C4×D13—81no—
796C4×D13—81no—
797C4×D132−1+412yes—
798C4×D132−1+412yes—
799Dic26—81no—
800Dic26—81no—
801Dic26—81no—
802Dic26—81no—
803Dic26—81no—
804Dic26—81no—
805C8×C13—21no—
806C8×C13—21no—
807C8×C13—21no—
808C8×C13—21no—
809#1055—21no—
810#1055—21no—
811#1055—21no—
812#1055—21no—
813#544—131no—
814#544—131no—
815#544—131no—
816#544—131no—
817#544—131no—
818#544—131no—
819#544—131no—
820#544—261no—
821#544—261no—
822#544—261no—
823#544—261no—
824#544C2×D1311yescharacteristic, complemented
825#540—131no—
826#540—131no—
827#540—131no—
828#540—131no—
829#540—131no—
830#540—131no—
831#540—131no—
832#540—261no—
833#540—261no—
834#540—261no—
835#540—261no—
836#540C2×D1311yescharacteristic
837C2×C4⋊Q8—131no—
838C2×C4⋊Q8—131no—
839C2×C4⋊Q8—261no—
840C2×#127—131no—
841C2×#125—131no—
842C2×#125—131no—
843C2×#125—131no—
844C2×#125—261no—
845C2×#123—261no—
846C2×#123—261no—
847C2×C22⋊Q8—261no—
848C2×C22⋊Q8—261no—
849C2×#121—131no—
850C2×#121—131no—
851C2×#121—261no—
852C2×#121—261no—
853C2×C4×D4—131no—
854C2×C4×D4—131no—
855C2×#117—131no—
856C2×#117—131no—
857C22×C4⋊C4—131no—
858#501—131no—
859#501—131no—
860#501—131no—
861#501—131no—
862#501—131no—
863#501—131no—
864#501—131no—
865#501C2×D1311yescharacteristic, complemented
866#499—131no—
867#499—131no—
868#499—131no—
869#499—131no—
870#499—131no—
871#499—131no—
872#499—131no—
873#499C2×D1311yescharacteristic, complemented
874#490—131no—
875#490—131no—
876#490—131no—
877#490—131no—
878#490—131no—
879#490—131no—
880#490—131no—
881#490C2×D1311yescharacteristic, complemented
882#486—131no—
883#486—131no—
884#486—131no—
885#486—131no—
886#486—131no—
887#486—131no—
888#486—131no—
889#486C2×D1311yescharacteristic, complemented
890#482—131no—
891#482—131no—
892#482—131no—
893#482—131no—
894#482—131no—
895#482—131no—
896#482—131no—
897#482—131no—
898#482—131no—
899#482—131no—
900#482—131no—
901#482—131no—
902#482—131no—
903#482—131no—
904#482C2×D1311yescharacteristic, complemented
905#482C2×D1311yescharacteristic, complemented
906#481—131no—
907#481—131no—
908#481—131no—
909#481—131no—
910#481—131no—
911#481—131no—
912#481—131no—
913#481C2×D1311yescharacteristic, complemented
914#480—131no—
915#480—131no—
916#480—131no—
917#480—131no—
918#480—131no—
919#480—131no—
920#480—131no—
921#480C2×D1311yescharacteristic, complemented
922#478—131no—
923#478—131no—
924#478—131no—
925#478—131no—
926#478—131no—
927#478—131no—
928#478—131no—
929#478—131no—
930#478—131no—
931#478—131no—
932#478—131no—
933#478—131no—
934#478—131no—
935#478—131no—
936#478C2×D1311yescharacteristic, complemented
937#478C2×D1311yescharacteristic, complemented
938#476—131no—
939#476—131no—
940#476—131no—
941#476—131no—
942#476—131no—
943#476—131no—
944#476—131no—
945#476C2×D1311yescharacteristic, complemented
946#474—131no—
947#474—131no—
948#474—131no—
949#474—131no—
950#474—131no—
951#474—131no—
952#474—131no—
953#474C2×D1311yescharacteristic, complemented
954#433—131no—
955#433—131no—
956#433—131no—
957#433—131no—
958#433—131no—
959#433—131no—
960#433—131no—
961#433C2×D1311yescharacteristic, complemented
962C2×#107—131no—
963C2×#107—131no—
964C2×#107—131no—
965C2×#107—131no—
966C2×#106—131no—
967C2×#106—131no—
968C2×#106—131no—
969C2×#106—131no—
970C2×C4⋊C8—131no—
971C2×C4⋊C8—131no—
972C2×#102—131no—
973C2×#102—131no—
974C2×#102—131no—
975C2×#102—131no—
976C2×#102—131no—
977C2×#102—131no—
978C2×#102—131no—
979C2×#102—131no—
980C2×C22⋊C8—131no—
981C2×C22⋊C8—131no—
982C2×#97—131no—
983C2×C4×C8—131no—
984C22×C13—21no—
985C22×C13—21no—
986C22×C13—21no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13C23×D411yescharacteristic
994C2×D13—21no—
995C2×D13—21no—
996C2×D13—21no—
997C2×D13—44no—
998C2×D13—41no—
999C2×D13—41no—
1000C2×D13—41no—
1001C2×D13—41no—
1002C2×D13—41no—
1003C2×D13—41no—
1004C2×D13—84no—
1005C2×D13—84no—
1006C2×D13#53612yes—
1007C2×D13#57612yes—
1008C2×D13#57712yes—
1009C4×C13—21no—
1010C4×C13—21no—
1011C4×C13—21no—
1012C4×C13—21no—
1013C4×C13—21no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13C2×2−1+411yescharacteristic
1021C4×C13C2×2−1+411yescharacteristic
1022Dic13—21no—
1023Dic13—21no—
1024Dic13—21no—
1025Dic13—21no—
1026Dic13—21no—
1027Dic13—41no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13#53612yes—
1034C22×Q8—261no—
1035C22×Q8—261no—
1036C22×D4—131no—
1037C22×D4—131no—
1038C22×D4—261no—
1039C22×D4—261no—
1040C22×D4—261no—
1041C22×D4—261no—
1042C23×C4—131no—
1043C23×C4—261no—
1044C23×C4—261no—
1045C23×C4—261no—
1046C22×C8—131no—
1047C22×C8—131no—
1048C22×C8—131no—
1049C22×C8—131no—
1050C4⋊Q8—21no—
1051C4⋊Q8—131no—
1052C4⋊Q8—131no—
1053C4⋊Q8—131no—
1054C4⋊Q8—131no—
1055C4⋊Q8—131no—
1056C4⋊Q8—131no—
1057C4⋊Q8—261no—
1058C4⋊Q8—261no—
1059C4⋊Q8—261no—
1060C4⋊Q8—261no—
1061C4⋊Q8—261no—
1062C4⋊Q8—261no—
1063C4⋊Q8—261no—
1064C4⋊Q8—261no—
1065C4⋊Q8—261no—
1066C4⋊Q8—261no—
1067C4⋊Q8—261no—
1068C4⋊Q8C22×D1311yescharacteristic
1069C4⋊Q8C22×D1311yescharacteristic
1070#127—131no—
1071#127—131no—
1072#127—131no—
1073#127—261no—
1074#127—261no—
1075#127C22×D1311yescharacteristic
1076#125—21no—
1077#125—131no—
1078#125—131no—
1079#125—131no—
1080#125—131no—
1081#125—131no—
1082#125—131no—
1083#125—131no—
1084#125—131no—
1085#125—131no—
1086#125—261no—
1087#125—261no—
1088#125—261no—
1089#125—261no—
1090#125—261no—
1091#125—261no—
1092#125—261no—
1093#125—261no—
1094#125—261no—
1095#125—261no—
1096#125—261no—
1097#125—261no—
1098#125—261no—
1099#125C22×D1311yescharacteristic
1100#125C22×D1311yescharacteristic
1101#125C22×D1311yescharacteristic
1102#123—21no—
1103#123—21no—
1104#123—261no—
1105#123—261no—
1106#123—261no—
1107#123—261no—
1108#123—261no—
1109#123—261no—
1110#123—261no—
1111#123—261no—
1112#123—261no—
1113#123—261no—
1114#123—261no—
1115#123—261no—
1116#123—261no—
1117#123—261no—
1118C22⋊Q8—21no—
1119C22⋊Q8—21no—
1120C22⋊Q8—261no—
1121C22⋊Q8—261no—
1122C22⋊Q8—261no—
1123C22⋊Q8—261no—
1124C22⋊Q8—261no—
1125C22⋊Q8—261no—
1126C22⋊Q8—261no—
1127C22⋊Q8—261no—
1128C22⋊Q8—261no—
1129C22⋊Q8—261no—
1130C22⋊Q8—261no—
1131C22⋊Q8—261no—
1132C22⋊Q8—261no—
1133C22⋊Q8—261no—
1134#121—21no—
1135#121—21no—
1136#121—131no—
1137#121—131no—
1138#121—131no—
1139#121—131no—
1140#121—131no—
1141#121—131no—
1142#121—261no—
1143#121—261no—
1144#121—261no—
1145#121—261no—
1146#121—261no—
1147#121—261no—
1148#121—261no—
1149#121—261no—
1150#121—261no—
1151#121—261no—
1152#121—261no—
1153#121—261no—
1154#121—261no—
1155#121—261no—
1156#121—261no—
1157#121—261no—
1158#121—261no—
1159#121—261no—
1160#121C22×D1311yescharacteristic
1161#121C22×D1311yescharacteristic
1162C4×D4—131no—
1163C4×D4—131no—
1164C4×D4—131no—
1165C4×D4—131no—
1166C4×D4—131no—
1167C4×D4—131no—
1168C4×D4—261no—
1169C4×D4—261no—
1170C4×D4—261no—
1171C4×D4—261no—
1172C4×D4C22×D1311yescharacteristic
1173C4×D4C22×D1311yescharacteristic
1174#117—131no—
1175#117—131no—
1176#117—131no—
1177#117—131no—
1178#117—131no—
1179#117—131no—
1180#117—131no—
1181#117—131no—
1182#117—131no—
1183#117—131no—
1184#117—261no—
1185#117—261no—
1186#117C22×D1311yescharacteristic
1187#117C22×D1311yescharacteristic
1188C2×C4⋊C4—131no—
1189C2×C4⋊C4—131no—
1190C2×C4⋊C4—131no—
1191C2×C4⋊C4—131no—
1192C2×C4⋊C4—131no—
1193C2×C4⋊C4—131no—
1194C2×C4⋊C4—131no—
1195C2×C4⋊C4—131no—
1196C2×C4⋊C4—131no—
1197C2×C4⋊C4—131no—
1198C2×C4⋊C4—131no—
1199C2×C4⋊C4—261no—
1200C2×C4⋊C4—261no—
1201C2×C4⋊C4—261no—
1202C2×C4⋊C4—261no—
1203C2×C4⋊C4—261no—
1204C2×C4⋊C4—261no—
1205C2×C4⋊C4—261no—
1206C2×C4⋊C4—261no—
1207C2×C4⋊C4—261no—
1208C2×C4⋊C4—261no—
1209C2×C4⋊C4—261no—
1210C2×C4⋊C4C22×D1311yescharacteristic
1211C2×C22⋊C4—131no—
1212C2×C22⋊C4—131no—
1213C2×C22⋊C4—261no—
1214C2×C22⋊C4—261no—
1215C2×C22⋊C4—261no—
1216C2×C22⋊C4—261no—
1217C2×C22⋊C4—261no—
1218C2×C42—131no—
1219C2×C42—131no—
1220C2×C42—261no—
1221#107—131no—
1222#107—131no—
1223#107—131no—
1224#107—131no—
1225#107—131no—
1226#107—131no—
1227#107—131no—
1228#107—131no—
1229#107—131no—
1230#107—131no—
1231#107—131no—
1232#107—131no—
1233#107C22×D1311yescharacteristic
1234#107C22×D1311yescharacteristic
1235#107C22×D1311yescharacteristic
1236#107C22×D1311yescharacteristic
1237#106—131no—
1238#106—131no—
1239#106—131no—
1240#106—131no—
1241#106—131no—
1242#106—131no—
1243#106—131no—
1244#106—131no—
1245#106—131no—
1246#106—131no—
1247#106—131no—
1248#106—131no—
1249#106C22×D1311yescharacteristic
1250#106C22×D1311yescharacteristic
1251#106C22×D1311yescharacteristic
1252#106C22×D1311yescharacteristic
1253C4⋊C8—131no—
1254C4⋊C8—131no—
1255C4⋊C8—131no—
1256C4⋊C8—131no—
1257C4⋊C8—131no—
1258C4⋊C8—131no—
1259C4⋊C8C22×D1311yescharacteristic
1260C4⋊C8C22×D1311yescharacteristic
1261#102—131no—
1262#102—131no—
1263#102—131no—
1264#102—131no—
1265#102—131no—
1266#102—131no—
1267#102—131no—
1268#102—131no—
1269#102—131no—
1270#102—131no—
1271#102—131no—
1272#102—131no—
1273#102—131no—
1274#102—131no—
1275#102—131no—
1276#102—131no—
1277#102—131no—
1278#102—131no—
1279#102—131no—
1280#102—131no—
1281#102—131no—
1282#102—131no—
1283#102—131no—
1284#102—131no—
1285#102C22×D1311yescharacteristic
1286#102C22×D1311yescharacteristic
1287#102C22×D1311yescharacteristic
1288#102C22×D1311yescharacteristic
1289#102C22×D1311yescharacteristic
1290#102C22×D1311yescharacteristic
1291#102C22×D1311yescharacteristic
1292#102C22×D1311yescharacteristic
1293C22⋊C8—131no—
1294C22⋊C8—131no—
1295C22⋊C8—131no—
1296C22⋊C8—131no—
1297C22⋊C8—131no—
1298C22⋊C8—131no—
1299C22⋊C8C22×D1311yescharacteristic
1300C22⋊C8C22×D1311yescharacteristic
1301#97—131no—
1302#97—131no—
1303#97—131no—
1304#97C22×D1311yescharacteristic
1305C4×C8—131no—
1306C4×C8—131no—
1307C4×C8—131no—
1308C4×C8C22×D1311yescharacteristic
1309C2×C13—41no—
1310C2×C13—81no—
1311C2×C13—81no—
1312C2×C13C2×#53611yescharacteristic
1313C2×C13C2×#57611yescharacteristic
1314C2×C13C2×#57711yescharacteristic
1315D13—41no—
1316D13—81no—
1317D13—81no—
1318D13#324114yesdirect product factor
1319C24—131no—
1320C24—261no—
1321C24—261no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8—261no—
1325C2×Q8—261no—
1326C2×Q8—261no—
1327C2×Q8—261no—
1328C2×Q8—261no—
1329C2×Q8—261no—
1330C2×Q8—1042no—
1331C2×Q8—1042no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—131no—
1337C2×D4—131no—
1338C2×D4—261no—
1339C2×D4—261no—
1340C2×D4—262no—
1341C2×D4—262no—
1342C2×D4—262no—
1343C2×D4—262no—
1344C2×D4—261no—
1345C2×D4—261no—
1346C2×D4—261no—
1347C2×D4—261no—
1348C2×D4—261no—
1349C2×D4—261no—
1350C2×D4—261no—
1351C2×D4—261no—
1352C2×D4—261no—
1353C2×D4—261no—
1354C2×D4—261no—
1355C2×D4—261no—
1356C2×D4—1042no—
1357C2×D4—1042no—
1358C2×D4—1042no—
1359C2×D4—1042no—
1360C2×D4C23×D1311yescharacteristic
1361C2×D4C23×D1311yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—131no—
1366C22×C4—131no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—131no—
1371C22×C4—131no—
1372C22×C4—131no—
1373C22×C4—131no—
1374C22×C4—262no—
1375C22×C4—262no—
1376C22×C4—261no—
1377C22×C4—261no—
1378C22×C4—261no—
1379C22×C4—261no—
1380C22×C4—261no—
1381C22×C4—261no—
1382C22×C4—261no—
1383C22×C4—261no—
1384C22×C4—261no—
1385C22×C4—261no—
1386C22×C4—261no—
1387C22×C4—261no—
1388C22×C4—261no—
1389C22×C4—261no—
1390C22×C4—261no—
1391C22×C4—1042no—
1392C22×C4—1042no—
1393C22×C4—1042no—
1394C22×C4C23×D1311yescharacteristic
1395C2×C8—131no—
1396C2×C8—131no—
1397C2×C8—131no—
1398C2×C8—131no—
1399C2×C8—262no—
1400C2×C8—262no—
1401C2×C8—262no—
1402C2×C8—262no—
1403C2×C8C23×D1311yescharacteristic
1404C2×C8C23×D1311yescharacteristic
1405C2×C8C23×D1311yescharacteristic
1406C2×C8C23×D1311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—131no—
1417C4⋊C4—131no—
1418C4⋊C4—131no—
1419C4⋊C4—131no—
1420C4⋊C4—131no—
1421C4⋊C4—131no—
1422C4⋊C4—131no—
1423C4⋊C4—131no—
1424C4⋊C4—131no—
1425C4⋊C4—131no—
1426C4⋊C4—131no—
1427C4⋊C4—131no—
1428C4⋊C4—261no—
1429C4⋊C4—261no—
1430C4⋊C4—261no—
1431C4⋊C4—261no—
1432C4⋊C4—261no—
1433C4⋊C4—261no—
1434C4⋊C4—261no—
1435C4⋊C4—261no—
1436C4⋊C4—261no—
1437C4⋊C4—261no—
1438C4⋊C4—261no—
1439C4⋊C4—261no—
1440C4⋊C4—261no—
1441C4⋊C4—261no—
1442C4⋊C4—261no—
1443C4⋊C4—261no—
1444C4⋊C4—261no—
1445C4⋊C4—261no—
1446C4⋊C4—261no—
1447C4⋊C4—261no—
1448C4⋊C4—261no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
1452C4⋊C4—261no—
1453C4⋊C4—261no—
1454C4⋊C4—261no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4D4×D1311yescharacteristic
1462C4⋊C4D4×D1311yescharacteristic
1463C4⋊C4C23×D1311yescharacteristic
1464C4⋊C4C23×D1311yescharacteristic
1465C4⋊C4C23×D1311yescharacteristic
1466C4⋊C4C23×D1311yescharacteristic
1467C4⋊C4C23×D1311yescharacteristic
1468C4⋊C4C23×D1311yescharacteristic
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—131no—
1475C22⋊C4—131no—
1476C22⋊C4—131no—
1477C22⋊C4—131no—
1478C22⋊C4—131no—
1479C22⋊C4—131no—
1480C22⋊C4—261no—
1481C22⋊C4—261no—
1482C22⋊C4—261no—
1483C22⋊C4—261no—
1484C22⋊C4—261no—
1485C22⋊C4—261no—
1486C22⋊C4—261no—
1487C22⋊C4—261no—
1488C22⋊C4—261no—
1489C22⋊C4—261no—
1490C22⋊C4—261no—
1491C22⋊C4—261no—
1492C22⋊C4—261no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4D4×D1311yescharacteristic
1496C22⋊C4D4×D1311yescharacteristic
1497C42—21no—
1498C42—131no—
1499C42—131no—
1500C42—131no—
1501C42—131no—
1502C42—131no—
1503C42—131no—
1504C42—261no—
1505C42—261no—
1506C42—261no—
1507C42C23×D1311yescharacteristic
1508C42C23×D1311yescharacteristic
1509C13C2×#324111yescharacteristic, complemented, Sylow
1510C23—21no—
1511C23—21no—
1512C23—131no—
1513C23—131no—
1514C23—262no—
1515C23—262no—
1516C23—262no—
1517C23—261no—
1518C23—261no—
1519C23—522no—
1520C23—522no—
1521C23—522no—
1522C23—522no—
1523C23—522no—
1524C23—522no—
1525C23C2×D4×D1311yescharacteristic
1526Q8—81no—
1527Q8—81no—
1528Q8—1041no—
1529Q8—1041no—
1530Q8—1041no—
1531Q8—1041no—
1532Q8—1041no—
1533Q8—1041no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—261no—
1543D4—261no—
1544D4—261no—
1545D4—261no—
1546D4—522no—
1547D4—522no—
1548D4—1041no—
1549D4—1041no—
1550D4—1041no—
1551D4—1041no—
1552D4—1041no—
1553D4—1041no—
1554D4—1041no—
1555D4—1041no—
1556D4—1041no—
1557D4—1041no—
1558D4—1041no—
1559D4—1041no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—131no—
1572C2×C4—132no—
1573C2×C4—132no—
1574C2×C4—131no—
1575C2×C4—131no—
1576C2×C4—131no—
1577C2×C4—131no—
1578C2×C4—131no—
1579C2×C4—262no—
1580C2×C4—262no—
1581C2×C4—262no—
1582C2×C4—262no—
1583C2×C4—262no—
1584C2×C4—262no—
1585C2×C4—262no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—522no—
1595C2×C4—522no—
1596C2×C4—522no—
1597C2×C4—522no—
1598C2×C4—522no—
1599C2×C4—522no—
1600C2×C4—1041no—
1601C2×C4—1041no—
1602C2×C4—1041no—
1603C2×C4—1041no—
1604C2×C4—1041no—
1605C2×C4—1041no—
1606C2×C4—1041no—
1607C2×C4—1041no—
1608C2×C4—1041no—
1609C2×C4C2×D4×D1311yescharacteristic
1610C2×C4C2×D4×D1311yescharacteristic
1611C2×C4C2×D4×D1311yescharacteristic
1612C2×C4C2×D4×D1311yescharacteristic
1613C2×C4C2×D4×D1311yescharacteristic
1614C2×C4C24×D1311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—261no—
1620C8—261no—
1621C8—261no—
1622C8—261no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—132no—
1633C22—132no—
1634C22—132no—
1635C22—261no—
1636C22—261no—
1637C22—261no—
1638C22—524no—
1639C22—521no—
1640C22—521no—
1641C22—521no—
1642C22—521no—
1643C22—521no—
1644C22—521no—
1645C22—1044no—
1646C22—1044no—
1647C22C22×D4×D1311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—132no—
1660C4—261no—
1661C4—261no—
1662C4—261no—
1663C4—261no—
1664C4—261no—
1665C4—521no—
1666C4—521no—
1667C4—521no—
1668C4—521no—
1669C4—521no—
1670C4—521no—
1671C4D13×2−1+411yescharacteristic
1672C4D13×2−1+411yescharacteristic
1673C2—41no—
1674C2—81no—
1675C2—81no—
1676C2—134no—
1677C2—521no—
1678C2—1041no—
1679C2—1041no—
1680C2D13×#53611yescharacteristic
1681C2D13×#57611yescharacteristic
1682C2D13×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3241C2
socleC22×C13C23×D4
prime radicalD13×#540C2
hypercenter#3241D13
hypocenterC13C2×#3241
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. D13×#544C2semidirect
3. #13126096C2semidirect
4. #13126095C2semidirect
5. #13126094C2semidirect
6. #13126093C2semidirect
7. #13126092C2semidirect
8. #13126091C2semidirect
9. #13126090C2semidirect
10. #13126089C2semidirect
11. #13126088C2semidirect
12. #13126087C2semidirect
13. #13126086C2semidirect
14. #13126085C2semidirect
15. #13126084C2semidirect
16. #13126083C2semidirect
17. #13126082C2semidirect
18. D13×#501C2semidirect
19. D13×#499C2semidirect
20. D13×#490C2semidirect
21. D13×#486C2semidirect
22. D13×#481C2semidirect
23. D13×#482C2semidirect
24. D13×#482C2semidirect
25. D13×#480C2semidirect
26. D13×#478C2semidirect
27. D13×#478C2semidirect
28. D13×#476C2semidirect
29. D13×#474C2semidirect
30. D13×#433C2semidirect
31. C13×#3241C2semidirect
32. C13×#544C22semidirect
35. #11719434C22semidirect
36. #11719434C22semidirect
44. #11719394C22semidirect
45. #11719394C22semidirect
73. #11719224C22semidirect
74. #11719224C22semidirect
76. #11719205C22semidirect
77. C13×#501C22semidirect
78. C13×#499C22semidirect
79. C13×#490C22semidirect
80. C13×#486C22semidirect
81. C13×#482C22semidirect
82. C13×#482C22semidirect
83. C13×#481C22semidirect
84. C13×#480C22semidirect
85. C13×#478C22semidirect
86. C13×#478C22semidirect
87. C13×#476C22semidirect
88. C13×#474C22semidirect
89. C13×#433C22semidirect
90. #11718749C22semidirect
91. #11718748C22semidirect
92. #11718745C22semidirect
93. #11718741C22semidirect
94. #11718732C22semidirect
95. #11718731C22semidirect
96. #11718728C22semidirect
97. #11718727C22semidirect
98. #11718727C22semidirect
99. #11718726C22semidirect
100. #11718725C22semidirect
101. #11718725C22semidirect
102. #11718696C22semidirect
103. #11718696C22semidirect
104. #11718695C22semidirect
105. #11718694C22semidirect
106. #11718670C22semidirect
107. #11718670C22semidirect
108. #11718669C22semidirect
109. #11718668C22semidirect
110. #11718664C22semidirect
111. #11718664C22semidirect
112. #11718661C22semidirect
113. #11718629C22semidirect
114. #11718628C22semidirect
115. #11718552C22semidirect
116. #11718552C22semidirect
117. #11718551C22semidirect
118. #11718551C22semidirect
119. #11718546C22semidirect
120. #11718546C22semidirect
121. #11718543C22semidirect
122. #11718543C22semidirect
127. #11718539C22semidirect
128. #11718539C22semidirect
129. #11718537C22semidirect
130. #11718537C22semidirect
131. #11718532C22semidirect
132. #11718532C22semidirect
133. #11718531C22semidirect
134. #11718531C22semidirect
135. #11718527C22semidirect
136. #11718527C22semidirect
137. #11718524C22semidirect
138. #11718524C22semidirect
143. #11718519C22semidirect
144. #11718519C22semidirect
145. #11718517C22semidirect
146. #11718517C22semidirect
147. #11718508C22semidirect
148. #11718508C22semidirect
149. #11718507C22semidirect
150. #11718503C22semidirect
151. #11718501C22semidirect
152. #11718501C22semidirect
155. #11718445C22semidirect
156. #11718445C22semidirect
157. #11718440C22semidirect
158. #11718440C22semidirect
159. #11718438C22semidirect
160. #11718438C22semidirect
161. #11718435C22semidirect
162. #11718435C22semidirect
171. #11718427C22semidirect
172. #11718427C22semidirect
173. #11718425C22semidirect
174. #11718425C22semidirect
175. #11718425C22semidirect
176. #11718425C22semidirect
177. #11718424C22semidirect
178. #11718424C22semidirect
179. #11718422C22semidirect
180. #11718422C22semidirect
181. #11718421C22semidirect
182. #11718421C22semidirect
183. #11718421C22semidirect
184. #11718421C22semidirect
185. #11718420C22semidirect
186. #11718420C22semidirect
187. #11718398C22semidirect
188. #11718398C22semidirect
189. #11718397C22semidirect
190. #11718396C22semidirect
193. #11718381C22semidirect
194. #11718381C22semidirect
195. #11718374C22semidirect
196. #11718370C22semidirect
198. #11718363C22semidirect
199. #11718355C22semidirect
200. #11718351C22semidirect
202. #11718344C22semidirect
686. #3241D13direct (N × H)
824. #544C2×D13semidirect
865. #501C2×D13semidirect
873. #499C2×D13semidirect
881. #490C2×D13semidirect
889. #486C2×D13semidirect
904. #482C2×D13semidirect
905. #482C2×D13semidirect
913. #481C2×D13semidirect
921. #480C2×D13semidirect
936. #478C2×D13semidirect
937. #478C2×D13semidirect
945. #476C2×D13semidirect
953. #474C2×D13semidirect
961. #433C2×D13semidirect
1318. D13#3241direct (N × H)
1509. C13C2×#3241semidirect

Maximal subgroups

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

subgroupindex
D13×#5442
D13×#5402
#131260962
#131260952
#131260942
#131260932
#131260922
#131260912
#131260902
#131260892
#131260882
#131260872
#131260862
#131260852
#131260842
#131260832
#131260822
D13×#5012
D13×#4992
D13×#4902
D13×#4862
D13×#4812
D13×#4822
D13×#4802
D13×#4782
D13×#4762
D13×#4742
D13×#4332
C13×#32412
C2×#324113