Finite Group Databasebeta

← D13×#3351 #16741589

Subgroups — D13×#3351 #16741589

Order 3328.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D13×#553C211yesmaximal, characteristic
2D13×#552C211yesmaximal, characteristic, complemented
3#13127403C211yesmaximal, characteristic, complemented
4#13127402C211yesmaximal, characteristic, complemented
5#13127401C211yesmaximal, characteristic, complemented
6#13127400C211yesmaximal, characteristic, complemented
7#13127399C211yesmaximal, characteristic, complemented
8#13127398C211yesmaximal, characteristic, complemented
9#13127397C211yesmaximal, characteristic, complemented
10#13127396C211yesmaximal, characteristic, complemented
11#13127395C211yesmaximal, characteristic, complemented
12#13127394C211yesmaximal, characteristic, complemented
13#13127393C211yesmaximal, characteristic, complemented
14#13127392C211yesmaximal, characteristic, complemented
15#13127391C211yesmaximal, characteristic, complemented
16#13127390C211yesmaximal, characteristic, complemented
17#13127389C211yesmaximal, characteristic, complemented
18D13×#499C211yesmaximal, characteristic, complemented
19D13×#481C211yesmaximal, characteristic, complemented
20D13×#485C211yesmaximal, characteristic, complemented
21D13×#482C211yesmaximal, characteristic, complemented
22D13×#483C211yesmaximal, characteristic, complemented
23D13×#479C211yesmaximal, characteristic, complemented
24D13×#478C211yesmaximal, characteristic, complemented
25D13×#468C211yesmaximal, characteristic, complemented
26D13×#468C211yesmaximal, characteristic, complemented
27C4×SD16×D13C211yesmaximal, characteristic, complemented
28D13×#436C211yesmaximal, characteristic, complemented
29D13×#428C211yesmaximal, characteristic, complemented
30D13×#428C211yesmaximal, characteristic, complemented
31C13×#3351C211yesmaximal, characteristic, complemented
32C13×#553C2211yescharacteristic
33C13×#552C2211yescharacteristic, complemented
34C2×SD16×D13C2211yescharacteristic
35C2×M16×D13C2211yescharacteristic
36C2×M16×D13C2211yescharacteristic
37#11719414—21no—
38#11719413—21no—
39D13×#126—21no—
40D13×#126—21no—
41#11719400C2211yescharacteristic
42#11719399C2211yescharacteristic, complemented
43#11719398—21no—
44D13×#125—21no—
45D13×#125C2211yescharacteristic
46D13×#125C2211yescharacteristic
47#11719366—21no—
48D13×#123—21no—
49D13×#123—21no—
50#11719355—21no—
51#11719347C2211yescharacteristic, complemented
52#11719344C2211yescharacteristic, complemented
53D13×C22⋊Q8C2211yescharacteristic
54D13×C22⋊Q8C2211yescharacteristic
55#11719323C2211yescharacteristic
56#11719319C2211yescharacteristic
57D13×#121—21no—
58D13×#121C2211yescharacteristic
59D13×#121C2211yescharacteristic
60#11719306—21no—
61#11719286C2211yescharacteristic, complemented
62C4×Q8×D13C2211yescharacteristic
63#11719270C2211yescharacteristic
64#11719263C2211yescharacteristic
65C4×D4×D13—21no—
66C4×D4×D13C2211yescharacteristic
67C4×D4×D13C2211yescharacteristic
68#11719246C2211yescharacteristic, complemented
69#11719245—21no—
70#11719236—21no—
71#11719235C2211yescharacteristic
72#11719234C2211yescharacteristic, complemented
73D13×#117—21no—
74D13×#117C2211yescharacteristic
75D13×#117C2211yescharacteristic
76#11719219C2211yescharacteristic
77#11719218C2211yescharacteristic, complemented
78C2×C4⋊C4×D13C2211yescharacteristic
79C2×C4⋊C4×D13C2211yescharacteristic
80C13×#499C2211yescharacteristic, complemented
81C13×#485C2211yescharacteristic, complemented
82C13×#483C2211yescharacteristic, complemented
83C13×#482C2211yescharacteristic, complemented
84C13×#481C2211yescharacteristic, complemented
85C13×#479C2211yescharacteristic, complemented
86C13×#478C2211yescharacteristic, complemented
87C13×#468C2211yescharacteristic, complemented
88C13×#468C2211yescharacteristic, complemented
89C4×C13×SD16C2211yescharacteristic, complemented
90C13×#436C2211yescharacteristic, complemented
91C13×#428C2211yescharacteristic, complemented
92C13×#428C2211yescharacteristic, complemented
93#11718835C2211yescharacteristic, complemented
94#11718835C2211yescharacteristic, complemented
95SD16×Dic13C2211yescharacteristic, complemented
96#11718795C2211yescharacteristic, complemented
97#11718795C2211yescharacteristic, complemented
98#11718789C2211yescharacteristic, complemented
99#11718789C2211yescharacteristic, complemented
100#11718782C2211yescharacteristic, complemented
101#11718782C2211yescharacteristic, complemented
102#11718727C2211yescharacteristic, complemented
103#11718725C2211yescharacteristic, complemented
104#11718725C2211yescharacteristic, complemented
105#11718724C2211yescharacteristic, complemented
106#11718710C2211yescharacteristic, complemented
107#11718710C2211yescharacteristic, complemented
108#11718706C2211yescharacteristic, complemented
109#11718704C2211yescharacteristic, complemented
110#11718703C2211yescharacteristic, complemented
111#11718703C2211yescharacteristic, complemented
112#11718696C2211yescharacteristic, complemented
113#11718695C2211yescharacteristic, complemented
114C4×#6106C2211yescharacteristic, complemented
115#11718683C2211yescharacteristic, complemented
116C4×#6105C2211yescharacteristic, complemented
117#11718673C2211yescharacteristic, complemented
118#11718670C2211yescharacteristic, complemented
119#11718664C2211yescharacteristic, complemented
120#11718657C2211yescharacteristic, complemented
121#11718656C2211yescharacteristic, complemented
122#11718656C2211yescharacteristic, complemented
123#11718632C2211yescharacteristic, complemented
124#11718629C2211yescharacteristic, complemented
125#11718625C2211yescharacteristic, complemented
126#11718625C2211yescharacteristic, complemented
127#11718552C2211yescharacteristic, complemented
128#11718549C2211yescharacteristic, complemented
129#11718547C2211yescharacteristic, complemented
130#11718547C2211yescharacteristic, complemented
131#11718546C2211yescharacteristic, complemented
132#11718542C2211yescharacteristic, complemented
133#11718542C2211yescharacteristic, complemented
134#11718542C2211yescharacteristic, complemented
135#11718542C2211yescharacteristic, complemented
136D13×#107C2211yescharacteristic
137D13×#107C2211yescharacteristic
138D13×#107C2211yescharacteristic
139D13×#107C2211yescharacteristic
140#11718539C2211yescharacteristic, complemented
141#11718539C2211yescharacteristic, complemented
142#11718538C2211yescharacteristic, complemented
143#11718532C2211yescharacteristic, complemented
144#11718528C2211yescharacteristic, complemented
145#11718527C2211yescharacteristic, complemented
146#11718524C2211yescharacteristic, complemented
147#11718524C2211yescharacteristic, complemented
148#11718523C2211yescharacteristic, complemented
149#11718523C2211yescharacteristic, complemented
150#11718522C2211yescharacteristic, complemented
151#11718522C2211yescharacteristic, complemented
152#11718522C2211yescharacteristic, complemented
153#11718522C2211yescharacteristic, complemented
154D13×#106C2211yescharacteristic
155D13×#106C2211yescharacteristic
156D13×#106C2211yescharacteristic
157D13×#106C2211yescharacteristic
158D13×#106C2211yescharacteristic
159#11718519C2211yescharacteristic, complemented
160#11718519C2211yescharacteristic, complemented
161#11718518C2211yescharacteristic, complemented
162#11718513C2211yescharacteristic, complemented
163#11718508C2211yescharacteristic, complemented
164#11718499C2211yescharacteristic, complemented
165D13×C4⋊C8C2211yescharacteristic
166#11718490C2211yescharacteristic, complemented
167#11718476C2211yescharacteristic, complemented
168#11718475C2211yescharacteristic, complemented
169#11718473C2211yescharacteristic, complemented
170#11718473C2211yescharacteristic, complemented
171#11718466C2211yescharacteristic, complemented
172#11718466C2211yescharacteristic, complemented
173D13×#103C2211yescharacteristic
174D13×#103C2211yescharacteristic
175D13×#103C2211yescharacteristic
176#11718460C2211yescharacteristic, complemented
177#11718457C2211yescharacteristic, complemented
178#11718449C2211yescharacteristic, complemented
179#11718445C2211yescharacteristic, complemented
180#11718441C2211yescharacteristic, complemented
181#11718441C2211yescharacteristic, complemented
182#11718440C2211yescharacteristic, complemented
183#11718438C2211yescharacteristic, complemented
184#11718438C2211yescharacteristic, complemented
185D13×#102C2211yescharacteristic
186D13×#102C2211yescharacteristic
187D13×#102C2211yescharacteristic
188#11718427C2211yescharacteristic, complemented
189#11718424C2211yescharacteristic, complemented
190#11718419C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718396C2211yescharacteristic, complemented
193#11718390C2211yescharacteristic, complemented
194#11718390C2211yescharacteristic, complemented
195D13×C22⋊C8C2211yescharacteristic
196D13×C22⋊C8C2211yescharacteristic
197#11718384C2211yescharacteristic, complemented
198#11718382C2211yescharacteristic, complemented
199C4×#6095C2211yescharacteristic, complemented
200#11718349C2211yescharacteristic, complemented
201C4×C8×D13C2211yescharacteristic
202#11718344C2211yescharacteristic, complemented
203C2×Q8×D13C2311yescharacteristic
204C2×D4×D13—21no—
205C2×D4×D13—21no—
206C2×D4×D13D411yescharacteristic
207C2×D4×D13C2311yescharacteristic
208C22×C4×D13—21no—
209C22×C4×D13—21no—
210C22×C4×D13—21no—
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C2×C13×SD16C2311yescharacteristic
214C2×C13×M16C2311yescharacteristic
215C2×C13×M16C2311yescharacteristic
216C13×#126—21no—
217C13×#126—21no—
218C13×#125—21no—
219C13×#125C2311yescharacteristic
220C13×#125C2311yescharacteristic
221C13×#123—21no—
222C13×#123—21no—
223C13×C22⋊Q8C2311yescharacteristic
224C13×C22⋊Q8C2311yescharacteristic
225C13×#121—21no—
226C13×#121C2311yescharacteristic
227C13×#121C2311yescharacteristic
228C4×Q8×C13C2311yescharacteristic
229C4×D4×C13—21no—
230C4×D4×C13C2311yescharacteristic
231C4×D4×C13C2311yescharacteristic
232C13×#117—21no—
233C13×#117C2311yescharacteristic
234C13×#117C2311yescharacteristic
235C2×C13×C4⋊C4C2311yescharacteristic
236C2×C13×C4⋊C4C2311yescharacteristic
237#88200C2311yescharacteristic
238#88200C2311yescharacteristic
239Q8×Dic13C2311yescharacteristic
240C2×#6106C2311yescharacteristic
241#88193—21no—
242#88193—21no—
243#88193—21no—
244#88193—21no—
245#88192—21no—
246#88192C2311yescharacteristic
247#88192C2311yescharacteristic
248#88189—21no—
249#88189—21no—
250D4×Dic13—21no—
251D4×Dic13D411yescharacteristic
252D4×Dic13C2311yescharacteristic
253C2×#6105C2311yescharacteristic
254#88184—21no—
255#88184C2311yescharacteristic
256#88184C2311yescharacteristic
257#88183—21no—
258#88183—21no—
259C4×C22⋊D13—21no—
260C4×C22⋊D13—21no—
261C4×C22⋊D13—21no—
262C4×C22⋊D13C2311yescharacteristic
263C4×C22⋊D13C2311yescharacteristic
264#88180—21no—
265#88180C2311yescharacteristic
266#88180C2311yescharacteristic
267C2×C4⋊Dic13C2311yescharacteristic
268C2×C4⋊Dic13C2311yescharacteristic
269#88178C2311yescharacteristic
270#88178C2311yescharacteristic
271C2×#6101—21no—
272C2×#6101—21no—
273C2×#6099C2311yescharacteristic
274C2×#6099C2311yescharacteristic
275SD16×D13—24no—
276M16×D13—24no—
277M16×D13—24no—
278C2×#6095C2311yescharacteristic
279C2×#6094C2311yescharacteristic
280C2×#6094C2311yescharacteristic
281C2×#6094C2311yescharacteristic
282C2×#6094C2311yescharacteristic
283C2×C8×D13C2311yescharacteristic
284C2×C8×D13C2311yescharacteristic
285C2×C8×D13C2311yescharacteristic
286C2×C8×D13C2311yescharacteristic
287#88152—21no—
288#88152—21no—
289#88152—21no—
290#88152—21no—
291#88152—21no—
292#88152—21no—
293#88151C2311yescharacteristic
294#88151C2311yescharacteristic
295#88150—21no—
296#88150—21no—
297#88149—21no—
298#88149C2311yescharacteristic
299#88149C2311yescharacteristic
300#88148—21no—
301#88148—21no—
302#88148—21no—
303#88148—21no—
304#88147—21no—
305#88147D411yescharacteristic
306#88147C2311yescharacteristic
307#88146—21no—
308#88146—21no—
309#88146C2311yescharacteristic
310#88146C2311yescharacteristic
311#88146C2311yescharacteristic
312#88146C2311yescharacteristic
313C4⋊C4×D13—21no—
314C4⋊C4×D13—21no—
315C4⋊C4×D13—21no—
316C4⋊C4×D13—21no—
317C4⋊C4×D13—21no—
318C4⋊C4×D13—21no—
319C4⋊C4×D13—21no—
320C4⋊C4×D13—21no—
321C4⋊C4×D13—21no—
322C4⋊C4×D13—21no—
323C4⋊C4×D13—21no—
324C4⋊C4×D13D411yescharacteristic
325C4⋊C4×D13C2311yescharacteristic
326C4⋊C4×D13C2311yescharacteristic
327C4⋊C4×D13C2311yescharacteristic
328C4⋊C4×D13C2311yescharacteristic
329C4⋊C4×D13C2311yescharacteristic
330C4⋊C4×D13C2311yescharacteristic
331C4⋊C4×D13C2311yescharacteristic
332C4⋊C4×D13C2311yescharacteristic
333C4⋊C4×D13C2311yescharacteristic
334C4⋊C4×D13C2311yescharacteristic
335#88144—21no—
336#88144—21no—
337#88144C2311yescharacteristic
338#88144C2311yescharacteristic
339#88144C2311yescharacteristic
340#88144C2311yescharacteristic
341#88143—21no—
342#88143—21no—
343#88143—21no—
344#88143—21no—
345#88143—21no—
346#88143—21no—
347#88143—21no—
348#88143—21no—
349#88141—21no—
350#88141C2311yescharacteristic
351#88140—21no—
352#88140—21no—
353#88138—21no—
354#88138—21no—
355#88138—21no—
356#88138—21no—
357#88137—21no—
358#88137—21no—
359#88137—21no—
360#88137—21no—
361#88135—21no—
362#88135—21no—
363#88135—21no—
364#88135D411yescharacteristic
365#88135D411yescharacteristic
366C22⋊C4×D13—21no—
367C22⋊C4×D13—21no—
368C22⋊C4×D13—21no—
369C22⋊C4×D13—21no—
370C22⋊C4×D13—21no—
371C22⋊C4×D13—21no—
372C22⋊C4×D13—21no—
373C22⋊C4×D13D411yescharacteristic
374C22⋊C4×D13D411yescharacteristic
375#88133—21no—
376#88133—21no—
377#88133—21no—
378#88133—21no—
379#88133—21no—
380#88133—21no—
381#88132—21no—
382#88132—21no—
383#88131—21no—
384#88131—21no—
385#88131—21no—
386#88131—21no—
387#88130—21no—
388#88130—21no—
389C4×D52—21no—
390C4×D52C2311yescharacteristic
391C4×D52C2311yescharacteristic
392#88126—21no—
393#88126—21no—
394#88126—21no—
395#88126—21no—
396C42×D13—21no—
397C42×D13—21no—
398C42×D13—21no—
399C42×D13C2311yescharacteristic
400#88124—21no—
401#88124C2311yescharacteristic
402#88124C2311yescharacteristic
403C4×Dic26—21no—
404C4×Dic26C2311yescharacteristic
405C13×#107C2311yescharacteristic
406C13×#107C2311yescharacteristic
407C13×#107C2311yescharacteristic
408C13×#107C2311yescharacteristic
409C13×#106C2311yescharacteristic
410C13×#106C2311yescharacteristic
411C13×#106C2311yescharacteristic
412C13×#106C2311yescharacteristic
413C13×#106C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×#103C2311yescharacteristic
416C13×#103C2311yescharacteristic
417C13×#103C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×#102C2311yescharacteristic
420C13×#102C2311yescharacteristic
421C13×C22⋊C8C2311yescharacteristic
422C13×C22⋊C8C2311yescharacteristic
423C4×C8×C13C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88075C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432#88061C2311yescharacteristic
433#88061C2311yescharacteristic
434#88061C2311yescharacteristic
435#88060C2311yescharacteristic
436#88060C2311yescharacteristic
437#88060C2311yescharacteristic
438#88060C2311yescharacteristic
439#88058C2311yescharacteristic
440#88058C2311yescharacteristic
441#88058C2311yescharacteristic
442#88058C2311yescharacteristic
443#88057C2311yescharacteristic
444#88057C2311yescharacteristic
445#88057C2311yescharacteristic
446#88057C2311yescharacteristic
447#88057C2311yescharacteristic
448#88056C2311yescharacteristic
449#88056C2311yescharacteristic
450#88056C2311yescharacteristic
451#88054C2311yescharacteristic
452#88054C2311yescharacteristic
453C8×Dic13C2311yescharacteristic
454C8×Dic13C2311yescharacteristic
455#88050C2311yescharacteristic
456#88050C2311yescharacteristic
457#88050C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88049C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88048C2311yescharacteristic
465#88048C2311yescharacteristic
466#88048C2311yescharacteristic
467#88048C2311yescharacteristic
468#88048C2311yescharacteristic
469#88048C2311yescharacteristic
470#88048C2311yescharacteristic
471#88047C2311yescharacteristic
472#88047C2311yescharacteristic
473#88047C2311yescharacteristic
474#88047C2311yescharacteristic
475#88047C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481C2×#3351—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13C2×D411yescharacteristic
484C23×D13C2×D411yescharacteristic
485C2×Q8×C13C2411yescharacteristic
486C2×D4×C13—21no—
487C2×D4×C13—21no—
488C2×D4×C13C2×D411yescharacteristic
489C2×D4×C13C2411yescharacteristic
490C22×C4×C13—21no—
491C22×C4×C13—21no—
492C22×C4×C13—21no—
493C22×C4×C13C2411yescharacteristic
494C22×C4×C13C2411yescharacteristic
495C2×C22⋊D13—21no—
496C2×C22⋊D13—21no—
497C2×C22⋊D13—21no—
498C2×C22⋊D13—21no—
499C2×C22⋊D13—21no—
500C2×C22⋊D13C2×D411yescharacteristic
501C2×C22⋊D13C2×D411yescharacteristic
502C22×Dic13—21no—
503C22×Dic13—21no—
504C22×Dic13—21no—
505C22×Dic13C2×D411yescharacteristic
506C22×Dic13C2×D411yescharacteristic
507Q8×D13—22no—
508Q8×D13—22no—
509D4×D13—22no—
510D4×D13—22no—
511D4×D13—42no—
512D4×D13—44no—
513D4×D13—82no—
514C2×D52—21no—
515C2×D52—21no—
516C2×D52C2×D411yescharacteristic
517C2×D52C2411yescharacteristic
518C2×C4×D13—22no—
519C2×C4×D13—22no—
520C2×C4×D13—22no—
521C2×C4×D13—22no—
522C2×C4×D13—21no—
523C2×C4×D13—21no—
524C2×C4×D13—21no—
525C2×C4×D13—21no—
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—44no—
536C2×C4×D13—82no—
537C2×C4×D13—82no—
538C2×C4×D13C2×D411yescharacteristic
539C2×C4×D13C2×D411yescharacteristic
540C2×C4×D13C2×D411yescharacteristic
541C2×C4×D13C2×D411yescharacteristic
542C2×C4×D13C2×D411yescharacteristic
543C2×C4×D13C2×D411yescharacteristic
544C2×C4×D13C2411yescharacteristic
545C2×C4×D13C2411yescharacteristic
546C2×C4×D13C2411yescharacteristic
547C2×Dic26—21no—
548C2×Dic26C2411yescharacteristic
549C13×SD16—22no—
550C13×M16—22no—
551C13×M16—22no—
552C2×C8×C13C2411yescharacteristic
553C2×C8×C13C2411yescharacteristic
554C2×C8×C13C2411yescharacteristic
555C2×C8×C13C2411yescharacteristic
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
566C13×C4⋊C4C2411yescharacteristic
567C13×C4⋊C4C2411yescharacteristic
568C13×C4⋊C4C2411yescharacteristic
569C13×C4⋊C4C2411yescharacteristic
570C13×C4⋊C4C2411yescharacteristic
571C13×C4⋊C4C2411yescharacteristic
572C13×C22⋊C4—21no—
573C13×C22⋊C4—21no—
574C13×C22⋊C4—21no—
575C13×C22⋊C4—21no—
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4C2×D411yescharacteristic
580C13×C22⋊C4C2×D411yescharacteristic
581C42×C13—21no—
582C42×C13—21no—
583C42×C13—21no—
584C42×C13C2411yescharacteristic
585C22⋊Dic13—21no—
586C22⋊Dic13—21no—
587C22⋊Dic13—21no—
588C22⋊Dic13—21no—
589C22⋊Dic13—21no—
590C22⋊Dic13—21no—
591C22⋊Dic13—21no—
592C22⋊Dic13C2×D411yescharacteristic
593C22⋊Dic13C2×D411yescharacteristic
594#6106—22no—
595#6105—22no—
596#6103—21no—
597#6103—21no—
598#6103—21no—
599#6103—21no—
600#6103—21no—
601#6103—21no—
602#6103—21no—
603#6103—21no—
604#6103—21no—
605#6103—21no—
606#6103—21no—
607#6103—21no—
608#6103—21no—
609#6103—21no—
610#6103C2×D411yescharacteristic
611#6103C2×D411yescharacteristic
612#6103C2×D411yescharacteristic
613#6103C2×D411yescharacteristic
614C4⋊Dic13—21no—
615C4⋊Dic13—21no—
616C4⋊Dic13—21no—
617C4⋊Dic13—21no—
618C4⋊Dic13—21no—
619C4⋊Dic13—21no—
620C4⋊Dic13—21no—
621C4⋊Dic13—21no—
622C4⋊Dic13—21no—
623C4⋊Dic13C2×D411yescharacteristic
624C4⋊Dic13C2411yescharacteristic
625C4⋊Dic13C2411yescharacteristic
626C4⋊Dic13C2411yescharacteristic
627C4⋊Dic13C2411yescharacteristic
628C4⋊Dic13C2411yescharacteristic
629C4⋊Dic13C2411yescharacteristic
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#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101C2×D411yescharacteristic
655#6101C2×D411yescharacteristic
656C4×Dic13—21no—
657C4×Dic13—21no—
658C4×Dic13—21no—
659C4×Dic13—21no—
660C4×Dic13—21no—
661C4×Dic13—21no—
662C4×Dic13—21no—
663C4×Dic13—21no—
664C4×Dic13—21no—
665C4×Dic13C2×D411yescharacteristic
666C4×Dic13C2×D411yescharacteristic
667C4×Dic13C2411yescharacteristic
668#6099—22no—
669#6099—22no—
670C2×#1055C2411yescharacteristic
671C2×#1055C2411yescharacteristic
672C2×#1055C2411yescharacteristic
673C2×#1055C2411yescharacteristic
674#6095—22no—
675#6094—22no—
676#6094—22no—
677#6094—22no—
678#6094—22no—
679C8×D13—22no—
680C8×D13—22no—
681C8×D13—22no—
682C8×D13#4114yes—
683C2×#553—131no—
684C2×#552—131no—
685#3351—131no—
686#3351—131no—
687#3351—131no—
688#3351—131no—
689#3351—131no—
690#3351—131no—
691#3351—131no—
692#3351—131no—
693#3351—131no—
694#3351—131no—
695#3351—131no—
696#3351—131no—
697#3351—131no—
698#3351—131no—
699#3351—131no—
700#3351D1311yescharacteristic, direct product factor
701C2×#499—131no—
702C2×#481—131no—
703C2×#485—131no—
704C2×#482—131no—
705C2×#483—131no—
706C2×#479—131no—
707C2×#478—131no—
708C2×#468—131no—
709C2×#468—131no—
710C2×C4×SD16—131no—
711C2×#436—131no—
712C2×#428—131no—
713C2×#428—131no—
714C23×C13—21no—
715C23×C13C22×D411yescharacteristic
716C23×C13C22×D411yescharacteristic
717C22×D13—22no—
718C22×D13—22no—
719C22×D13—22no—
720C22×D13—22no—
721C22×D13—22no—
722C22×D13—22no—
723C22×D13—21no—
724C22×D13—42no—
725C22×D13—42no—
726C22×D13—42no—
727C22×D13C22×D411yescharacteristic
728C22×D13C22×D411yescharacteristic
729C22×D13C22×D411yescharacteristic
730Q8×C13—21no—
731Q8×C13—21no—
732D4×C13—21no—
733D4×C13—21no—
734D4×C13—41no—
735D4×C13—42no—
736D4×C13—81no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—42no—
749C2×C4×C13—81no—
750C2×C4×C13—81no—
751C2×C4×C13C22×D411yescharacteristic
752C2×C4×C13C22×D411yescharacteristic
753C2×C4×C13C22×D411yescharacteristic
754C2×C4×C13C22×D411yescharacteristic
755C2×C4×C13C2511yescharacteristic
756C22⋊D13—41no—
757C22⋊D13—41no—
758C22⋊D13—42no—
759C22⋊D13—42no—
760C22⋊D13—42no—
761C22⋊D13—81no—
762C22⋊D13—81no—
763C2×Dic13—22no—
764C2×Dic13—22no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—42no—
773C2×Dic13—81no—
774C2×Dic13—81no—
775C2×Dic13C22×D411yescharacteristic
776C2×Dic13C22×D411yescharacteristic
777C2×Dic13C22×D411yescharacteristic
778C2×Dic13C22×D411yescharacteristic
779C2×Dic13C22×D411yescharacteristic
780D52—21no—
781D52—21no—
782D52—41no—
783D52—42no—
784D52—81no—
785C4×D13—22no—
786C4×D13—22no—
787C4×D13—22no—
788C4×D13—22no—
789C4×D13—21no—
790C4×D13—21no—
791C4×D13—21no—
792C4×D13—21no—
793C4×D13—22no—
794C4×D13—22no—
795C4×D13—42no—
796C4×D13—42no—
797C4×D13—42no—
798C4×D13—42no—
799C4×D13—42no—
800C4×D13—42no—
801C4×D13—42no—
802C4×D13—42no—
803C4×D13—42no—
804C4×D13—81no—
805C4×D13—81no—
806C4×D13—81no—
807C4×D13—81no—
808C4×D13C2×#4112yes—
809C4×D132−1+412yes—
810Dic26—21no—
811Dic26—21no—
812Dic26—42no—
813C8×C13—21no—
814C8×C13—21no—
815C8×C13—21no—
816C8×C13C2×#4112yes—
817#1055—21no—
818#1055—21no—
819#1055—21no—
820#1055C2×#4112yes—
821C22×SD16—131no—
822C22×M16—131no—
823C22×M16—131no—
824#553—131no—
825#553—131no—
826#553—131no—
827#553—131no—
828#553—131no—
829#553—131no—
830#553—131no—
831#553—261no—
832#553—261no—
833#553—261no—
834#553—261no—
835#553C2×D1311yescharacteristic
836#552—131no—
837#552—131no—
838#552—131no—
839#552—131no—
840#552—131no—
841#552—131no—
842#552—131no—
843#552—261no—
844#552—261no—
845#552—261no—
846#552—261no—
847#552C2×D1311yescharacteristic, complemented
848C2×#126—261no—
849C2×#126—261no—
850C2×#125—131no—
851C2×#125—131no—
852C2×#125—261no—
853C2×#123—261no—
854C2×#123—261no—
855C2×C22⋊Q8—131no—
856C2×C22⋊Q8—131no—
857C2×#121—131no—
858C2×#121—131no—
859C2×#121—261no—
860C2×C4×Q8—131no—
861C2×C4×D4—131no—
862C2×C4×D4—131no—
863C2×C4×D4—261no—
864C2×#117—131no—
865C2×#117—131no—
866C2×#117—261no—
867C22×C4⋊C4—131no—
868C22×C4⋊C4—131no—
869#499—131no—
870#499—131no—
871#499—131no—
872#499—131no—
873#499—131no—
874#499—131no—
875#499—131no—
876#499C2×D1311yescharacteristic, complemented
877#485—131no—
878#485—131no—
879#485—131no—
880#485—131no—
881#485—131no—
882#485—131no—
883#485—131no—
884#485C2×D1311yescharacteristic, complemented
885#483—131no—
886#483—131no—
887#483—131no—
888#483—131no—
889#483—131no—
890#483—131no—
891#483—131no—
892#483C2×D1311yescharacteristic, complemented
893#482—131no—
894#482—131no—
895#482—131no—
896#482—131no—
897#482—131no—
898#482—131no—
899#482—131no—
900#482C2×D1311yescharacteristic, complemented
901#481—131no—
902#481—131no—
903#481—131no—
904#481—131no—
905#481—131no—
906#481—131no—
907#481—131no—
908#481C2×D1311yescharacteristic, complemented
909#479—131no—
910#479—131no—
911#479—131no—
912#479—131no—
913#479—131no—
914#479—131no—
915#479—131no—
916#479C2×D1311yescharacteristic, complemented
917#478—131no—
918#478—131no—
919#478—131no—
920#478—131no—
921#478—131no—
922#478—131no—
923#478—131no—
924#478C2×D1311yescharacteristic, complemented
925#468—131no—
926#468—131no—
927#468—131no—
928#468—131no—
929#468—131no—
930#468—131no—
931#468—131no—
932#468—131no—
933#468—131no—
934#468—131no—
935#468—131no—
936#468—131no—
937#468—131no—
938#468—131no—
939#468C2×D1311yescharacteristic, complemented
940#468C2×D1311yescharacteristic, complemented
941C4×SD16—131no—
942C4×SD16—131no—
943C4×SD16—131no—
944C4×SD16—131no—
945C4×SD16—131no—
946C4×SD16—131no—
947C4×SD16—131no—
948C4×SD16C2×D1311yescharacteristic, complemented
949#436—131no—
950#436—131no—
951#436—131no—
952#436—131no—
953#436—131no—
954#436—131no—
955#436—131no—
956#436C2×D1311yescharacteristic, complemented
957#428—131no—
958#428—131no—
959#428—131no—
960#428—131no—
961#428—131no—
962#428—131no—
963#428—131no—
964#428—131no—
965#428—131no—
966#428—131no—
967#428—131no—
968#428—131no—
969#428—131no—
970#428—131no—
971#428C2×D1311yescharacteristic, complemented
972#428C2×D1311yescharacteristic, complemented
973C2×#107—131no—
974C2×#107—131no—
975C2×#107—131no—
976C2×#107—131no—
977C2×#106—131no—
978C2×#106—131no—
979C2×#106—131no—
980C2×#106—131no—
981C2×#106—131no—
982C2×C4⋊C8—131no—
983C2×#103—131no—
984C2×#103—131no—
985C2×#103—131no—
986C2×#102—131no—
987C2×#102—131no—
988C2×#102—131no—
989C2×C22⋊C8—131no—
990C2×C22⋊C8—131no—
991C2×C4×C8—131no—
992C22×C13—21no—
993C22×C13—21no—
994C22×C13—21no—
995C22×C13—21no—
996C22×C13—21no—
997C22×C13—21no—
998C22×C13—41no—
999C22×C13—41no—
1000C22×C13—41no—
1001C22×C13C23×D411yescharacteristic
1002C2×D13—21no—
1003C2×D13—21no—
1004C2×D13—21no—
1005C2×D13—21no—
1006C2×D13—21no—
1007C2×D13—21no—
1008C2×D13—44no—
1009C2×D13—44no—
1010C2×D13—41no—
1011C2×D13—41no—
1012C2×D13—41no—
1013C2×D13—84no—
1014C2×D13#54712yes—
1015C2×D13#57512yes—
1016C2×D13#57712yes—
1017C4×C13—21no—
1018C4×C13—21no—
1019C4×C13—21no—
1020C4×C13—21no—
1021C4×C13—41no—
1022C4×C13—41no—
1023C4×C13—41no—
1024C4×C13—41no—
1025C4×C13—41no—
1026C4×C13—41no—
1027C4×C13—41no—
1028C4×C13C22×#4111yescharacteristic
1029C4×C13C2×2−1+411yescharacteristic
1030Dic13—21no—
1031Dic13—21no—
1032Dic13—21no—
1033Dic13—21no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037Dic13—41no—
1038Dic13—41no—
1039Dic13—41no—
1040Dic13—41no—
1041Dic13#54712yes—
1042C22×Q8—131no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—261no—
1046C22×D4—261no—
1047C23×C4—131no—
1048C23×C4—131no—
1049C23×C4—261no—
1050C23×C4—261no—
1051C23×C4—261no—
1052C2×SD16—131no—
1053C2×SD16—131no—
1054C2×SD16—131no—
1055C2×SD16—264no—
1056C2×SD16C22×D1311yescharacteristic
1057C2×M16—131no—
1058C2×M16—131no—
1059C2×M16—131no—
1060C2×M16—131no—
1061C2×M16—131no—
1062C2×M16—131no—
1063C2×M16—264no—
1064C2×M16—264no—
1065C2×M16C22×D1311yescharacteristic
1066C2×M16C22×D1311yescharacteristic
1067C22×C8—131no—
1068C22×C8—131no—
1069C22×C8—131no—
1070C22×C8—131no—
1071#126—21no—
1072#126—21no—
1073#126—261no—
1074#126—261no—
1075#126—261no—
1076#126—261no—
1077#126—261no—
1078#126—261no—
1079#126—261no—
1080#126—261no—
1081#126—261no—
1082#126—261no—
1083#126—261no—
1084#126—261no—
1085#126—261no—
1086#126—261no—
1087#125—21no—
1088#125—131no—
1089#125—131no—
1090#125—131no—
1091#125—131no—
1092#125—131no—
1093#125—131no—
1094#125—261no—
1095#125—261no—
1096#125—261no—
1097#125—261no—
1098#125—261no—
1099#125—261no—
1100#125—261no—
1101#125—261no—
1102#125—261no—
1103#125—261no—
1104#125—261no—
1105#125C22×D1311yescharacteristic
1106#125C22×D1311yescharacteristic
1107#123—21no—
1108#123—21no—
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—
1118#123—261no—
1119#123—261no—
1120#123—261no—
1121#123—261no—
1122#123—261no—
1123C22⋊Q8—131no—
1124C22⋊Q8—131no—
1125C22⋊Q8—131no—
1126C22⋊Q8—131no—
1127C22⋊Q8—131no—
1128C22⋊Q8—131no—
1129C22⋊Q8—261no—
1130C22⋊Q8—261no—
1131C22⋊Q8—261no—
1132C22⋊Q8—261no—
1133C22⋊Q8C22×D1311yescharacteristic
1134C22⋊Q8C22×D1311yescharacteristic
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#121C22×D1311yescharacteristic
1154#121C22×D1311yescharacteristic
1155C4×Q8—131no—
1156C4×Q8—131no—
1157C4×Q8—131no—
1158C4×Q8—261no—
1159C4×Q8—261no—
1160C4×Q8C22×D1311yescharacteristic
1161C4×D4—21no—
1162C4×D4—131no—
1163C4×D4—131no—
1164C4×D4—131no—
1165C4×D4—131no—
1166C4×D4—131no—
1167C4×D4—131no—
1168C4×D4—131no—
1169C4×D4—131no—
1170C4×D4—131no—
1171C4×D4—131no—
1172C4×D4—261no—
1173C4×D4—261no—
1174C4×D4—261no—
1175C4×D4—261no—
1176C4×D4—261no—
1177C4×D4—261no—
1178C4×D4—261no—
1179C4×D4—261no—
1180C4×D4—261no—
1181C4×D4C22×D1311yescharacteristic
1182C4×D4C22×D1311yescharacteristic
1183#117—21no—
1184#117—131no—
1185#117—131no—
1186#117—131no—
1187#117—131no—
1188#117—131no—
1189#117—131no—
1190#117—261no—
1191#117—261no—
1192#117—261no—
1193#117—261no—
1194#117—261no—
1195#117—261no—
1196#117—261no—
1197#117—261no—
1198#117—261no—
1199#117—261no—
1200#117—261no—
1201#117C22×D1311yescharacteristic
1202#117C22×D1311yescharacteristic
1203C2×C4⋊C4—131no—
1204C2×C4⋊C4—131no—
1205C2×C4⋊C4—131no—
1206C2×C4⋊C4—131no—
1207C2×C4⋊C4—131no—
1208C2×C4⋊C4—131no—
1209C2×C4⋊C4—131no—
1210C2×C4⋊C4—131no—
1211C2×C4⋊C4—131no—
1212C2×C4⋊C4—131no—
1213C2×C4⋊C4—131no—
1214C2×C4⋊C4—131no—
1215C2×C4⋊C4—131no—
1216C2×C4⋊C4—261no—
1217C2×C4⋊C4—261no—
1218C2×C4⋊C4—261no—
1219C2×C4⋊C4—261no—
1220C2×C4⋊C4—261no—
1221C2×C4⋊C4—261no—
1222C2×C4⋊C4—261no—
1223C2×C4⋊C4—261no—
1224C2×C4⋊C4—261no—
1225C2×C4⋊C4—261no—
1226C2×C4⋊C4—261no—
1227C2×C4⋊C4—261no—
1228C2×C4⋊C4—261no—
1229C2×C4⋊C4C22×D1311yescharacteristic
1230C2×C4⋊C4C22×D1311yescharacteristic
1231C2×C22⋊C4—131no—
1232C2×C22⋊C4—131no—
1233C2×C22⋊C4—261no—
1234C2×C22⋊C4—261no—
1235C2×C22⋊C4—261no—
1236C2×C22⋊C4—261no—
1237C2×C22⋊C4—261no—
1238C2×C22⋊C4—261no—
1239C2×C22⋊C4—261no—
1240C2×C42—131no—
1241C2×C42—261no—
1242C2×C42—261no—
1243C2×C42—261no—
1244#107—131no—
1245#107—131no—
1246#107—131no—
1247#107—131no—
1248#107—131no—
1249#107—131no—
1250#107—131no—
1251#107—131no—
1252#107—131no—
1253#107—131no—
1254#107—131no—
1255#107—131no—
1256#107C22×D1311yescharacteristic
1257#107C22×D1311yescharacteristic
1258#107C22×D1311yescharacteristic
1259#107C22×D1311yescharacteristic
1260#106—131no—
1261#106—131no—
1262#106—131no—
1263#106—131no—
1264#106—131no—
1265#106—131no—
1266#106—131no—
1267#106—131no—
1268#106—131no—
1269#106—131no—
1270#106—131no—
1271#106—131no—
1272#106—131no—
1273#106—131no—
1274#106—131no—
1275#106C22×D1311yescharacteristic
1276#106C22×D1311yescharacteristic
1277#106C22×D1311yescharacteristic
1278#106C22×D1311yescharacteristic
1279#106C22×D1311yescharacteristic
1280C4⋊C8—131no—
1281C4⋊C8—131no—
1282C4⋊C8—131no—
1283C4⋊C8C22×D1311yescharacteristic
1284#103—131no—
1285#103—131no—
1286#103—131no—
1287#103—131no—
1288#103—131no—
1289#103—131no—
1290#103—131no—
1291#103—131no—
1292#103—131no—
1293#103C22×D1311yescharacteristic
1294#103C22×D1311yescharacteristic
1295#103C22×D1311yescharacteristic
1296#102—131no—
1297#102—131no—
1298#102—131no—
1299#102—131no—
1300#102—131no—
1301#102—131no—
1302#102—131no—
1303#102—131no—
1304#102—131no—
1305#102C22×D1311yescharacteristic
1306#102C22×D1311yescharacteristic
1307#102C22×D1311yescharacteristic
1308C22⋊C8—131no—
1309C22⋊C8—131no—
1310C22⋊C8—131no—
1311C22⋊C8—131no—
1312C22⋊C8—131no—
1313C22⋊C8—131no—
1314C22⋊C8C22×D1311yescharacteristic
1315C22⋊C8C22×D1311yescharacteristic
1316C4×C8—131no—
1317C4×C8—131no—
1318C4×C8—131no—
1319C4×C8C22×D1311yescharacteristic
1320C2×C13—41no—
1321C2×C13—41no—
1322C2×C13—81no—
1323C2×C13C2×#54711yescharacteristic
1324C2×C13C2×#57511yescharacteristic
1325C2×C13C2×#57711yescharacteristic
1326D13—41no—
1327D13—41no—
1328D13—81no—
1329D13#335114yesdirect product factor
1330C24—131no—
1331C24—131no—
1332C24—261no—
1333C2×Q8—131no—
1334C2×Q8—261no—
1335C2×Q8—262no—
1336C2×Q8—262no—
1337C2×Q8C23×D1311yescharacteristic
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—131no—
1341C2×D4—131no—
1342C2×D4—131no—
1343C2×D4—131no—
1344C2×D4—261no—
1345C2×D4—261no—
1346C2×D4—262no—
1347C2×D4—262no—
1348C2×D4—261no—
1349C2×D4—261no—
1350C2×D4—261no—
1351C2×D4—261no—
1352C2×D4—261no—
1353C2×D4—522no—
1354C2×D4—524no—
1355C2×D4—1042no—
1356C2×D4D4×D1311yescharacteristic
1357C2×D4C23×D1311yescharacteristic
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—131no—
1362C22×C4—131no—
1363C22×C4—131no—
1364C22×C4—131no—
1365C22×C4—131no—
1366C22×C4—131no—
1367C22×C4—131no—
1368C22×C4—131no—
1369C22×C4—131no—
1370C22×C4—131no—
1371C22×C4—131no—
1372C22×C4—262no—
1373C22×C4—262no—
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—261no—
1392C22×C4—524no—
1393C22×C4—1042no—
1394C22×C4—1042no—
1395C22×C4C23×D1311yescharacteristic
1396C22×C4C23×D1311yescharacteristic
1397SD16—22no—
1398SD16—262no—
1399SD16—262no—
1400SD16—262no—
1401M16—22no—
1402M16—22no—
1403M16—262no—
1404M16—262no—
1405M16—262no—
1406M16—262no—
1407M16—262no—
1408M16—262no—
1409C2×C8—131no—
1410C2×C8—134no—
1411C2×C8—131no—
1412C2×C8—131no—
1413C2×C8—131no—
1414C2×C8—262no—
1415C2×C8—262no—
1416C2×C8—262no—
1417C2×C8C23×D1311yescharacteristic
1418C2×C8C23×D1311yescharacteristic
1419C2×C8C23×D1311yescharacteristic
1420C2×C8C23×D1311yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—131no—
1431C4⋊C4—131no—
1432C4⋊C4—131no—
1433C4⋊C4—131no—
1434C4⋊C4—131no—
1435C4⋊C4—131no—
1436C4⋊C4—131no—
1437C4⋊C4—131no—
1438C4⋊C4—131no—
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⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4—261no—
1466C4⋊C4—261no—
1467C4⋊C4—261no—
1468C4⋊C4—261no—
1469C4⋊C4—261no—
1470C4⋊C4—261no—
1471C4⋊C4—261no—
1472C4⋊C4D4×D1311yescharacteristic
1473C4⋊C4C23×D1311yescharacteristic
1474C4⋊C4C23×D1311yescharacteristic
1475C4⋊C4C23×D1311yescharacteristic
1476C4⋊C4C23×D1311yescharacteristic
1477C4⋊C4C23×D1311yescharacteristic
1478C4⋊C4C23×D1311yescharacteristic
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—131no—
1487C22⋊C4—131no—
1488C22⋊C4—131no—
1489C22⋊C4—131no—
1490C22⋊C4—131no—
1491C22⋊C4—131no—
1492C22⋊C4—261no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4—261no—
1496C22⋊C4—261no—
1497C22⋊C4—261no—
1498C22⋊C4—261no—
1499C22⋊C4—261no—
1500C22⋊C4—261no—
1501C22⋊C4—261no—
1502C22⋊C4—261no—
1503C22⋊C4—261no—
1504C22⋊C4—261no—
1505C22⋊C4—261no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4D4×D1311yescharacteristic
1514C22⋊C4D4×D1311yescharacteristic
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—131no—
1519C42—131no—
1520C42—131no—
1521C42—261no—
1522C42—261no—
1523C42—261no—
1524C42—261no—
1525C42—261no—
1526C42—261no—
1527C42—261no—
1528C42—261no—
1529C42—261no—
1530C42C23×D1311yescharacteristic
1531C13C2×#335111yescharacteristic, complemented, Sylow
1532C23—21no—
1533C23—131no—
1534C23—131no—
1535C23—131no—
1536C23—262no—
1537C23—262no—
1538C23—262no—
1539C23—262no—
1540C23—262no—
1541C23—262no—
1542C23—261no—
1543C23—522no—
1544C23—522no—
1545C23—522no—
1546C23C2×D4×D1311yescharacteristic
1547C23C2×D4×D1311yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—261no—
1551Q8—261no—
1552Q8—522no—
1553D4—21no—
1554D4—21no—
1555D4—41no—
1556D4—42no—
1557D4—81no—
1558D4—261no—
1559D4—261no—
1560D4—521no—
1561D4—522no—
1562D4—522no—
1563D4—521no—
1564D4—521no—
1565D4—522no—
1566D4—522no—
1567D4—1041no—
1568D4—1041no—
1569D4—1041no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—131no—
1585C2×C4—132no—
1586C2×C4—132no—
1587C2×C4—131no—
1588C2×C4—131no—
1589C2×C4—131no—
1590C2×C4—131no—
1591C2×C4—262no—
1592C2×C4—262no—
1593C2×C4—262no—
1594C2×C4—262no—
1595C2×C4—262no—
1596C2×C4—262no—
1597C2×C4—262no—
1598C2×C4—262no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—522no—
1611C2×C4—522no—
1612C2×C4—522no—
1613C2×C4—522no—
1614C2×C4—522no—
1615C2×C4—522no—
1616C2×C4—522no—
1617C2×C4—522no—
1618C2×C4—522no—
1619C2×C4—522no—
1620C2×C4—1041no—
1621C2×C4—1041no—
1622C2×C4—1041no—
1623C2×C4—1041no—
1624C2×C4—1041no—
1625C2×C4—1041no—
1626C2×C4C2×D4×D1311yescharacteristic
1627C2×C4C2×D4×D1311yescharacteristic
1628C2×C4C2×D4×D1311yescharacteristic
1629C2×C4C2×D4×D1311yescharacteristic
1630C2×C4C24×D1311yescharacteristic
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—132no—
1635C8—261no—
1636C8—261no—
1637C8—261no—
1638C8#41×D1312yes—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—132no—
1649C22—132no—
1650C22—132no—
1651C22—261no—
1652C22—261no—
1653C22—261no—
1654C22—261no—
1655C22—261no—
1656C22—261no—
1657C22—524no—
1658C22—524no—
1659C22—521no—
1660C22—521no—
1661C22—521no—
1662C22—1044no—
1663C22C22×D4×D1311yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—132no—
1676C4—261no—
1677C4—261no—
1678C4—261no—
1679C4—261no—
1680C4—521no—
1681C4—521no—
1682C4—521no—
1683C4—521no—
1684C4—521no—
1685C4—521no—
1686C4—521no—
1687C4C2×#41×D1311yescharacteristic
1688C4D13×2−1+411yescharacteristic
1689C2—41no—
1690C2—41no—
1691C2—81no—
1692C2—134no—
1693C2—521no—
1694C2—521no—
1695C2—1041no—
1696C2D13×#54711yescharacteristic
1697C2D13×#57511yescharacteristic
1698C2D13×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3351C2
socleC22×C13C23×D4
prime radicalD13×#553C2
hypercenter#3351D13
hypocenterC13C2×#3351
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
2. D13×#552C2semidirect
3. #13127403C2semidirect
4. #13127402C2semidirect
5. #13127401C2semidirect
6. #13127400C2semidirect
7. #13127399C2semidirect
8. #13127398C2semidirect
9. #13127397C2semidirect
10. #13127396C2semidirect
11. #13127395C2semidirect
12. #13127394C2semidirect
13. #13127393C2semidirect
14. #13127392C2semidirect
15. #13127391C2semidirect
16. #13127390C2semidirect
17. #13127389C2semidirect
18. D13×#499C2semidirect
19. D13×#481C2semidirect
20. D13×#485C2semidirect
21. D13×#482C2semidirect
22. D13×#483C2semidirect
23. D13×#479C2semidirect
24. D13×#478C2semidirect
25. D13×#468C2semidirect
26. D13×#468C2semidirect
27. C4×SD16×D13C2semidirect
28. D13×#436C2semidirect
29. D13×#428C2semidirect
30. D13×#428C2semidirect
31. C13×#3351C2semidirect
33. C13×#552C22semidirect
42. #11719399C22semidirect
51. #11719347C22semidirect
52. #11719344C22semidirect
61. #11719286C22semidirect
68. #11719246C22semidirect
72. #11719234C22semidirect
77. #11719218C22semidirect
80. C13×#499C22semidirect
81. C13×#485C22semidirect
82. C13×#483C22semidirect
83. C13×#482C22semidirect
84. C13×#481C22semidirect
85. C13×#479C22semidirect
86. C13×#478C22semidirect
87. C13×#468C22semidirect
88. C13×#468C22semidirect
89. C4×C13×SD16C22semidirect
90. C13×#436C22semidirect
91. C13×#428C22semidirect
92. C13×#428C22semidirect
93. #11718835C22semidirect
94. #11718835C22semidirect
95. SD16×Dic13C22semidirect
96. #11718795C22semidirect
97. #11718795C22semidirect
98. #11718789C22semidirect
99. #11718789C22semidirect
100. #11718782C22semidirect
101. #11718782C22semidirect
102. #11718727C22semidirect
103. #11718725C22semidirect
104. #11718725C22semidirect
105. #11718724C22semidirect
106. #11718710C22semidirect
107. #11718710C22semidirect
108. #11718706C22semidirect
109. #11718704C22semidirect
110. #11718703C22semidirect
111. #11718703C22semidirect
112. #11718696C22semidirect
113. #11718695C22semidirect
114. C4×#6106C22semidirect
115. #11718683C22semidirect
116. C4×#6105C22semidirect
117. #11718673C22semidirect
118. #11718670C22semidirect
119. #11718664C22semidirect
120. #11718657C22semidirect
121. #11718656C22semidirect
122. #11718656C22semidirect
123. #11718632C22semidirect
124. #11718629C22semidirect
125. #11718625C22semidirect
126. #11718625C22semidirect
127. #11718552C22semidirect
128. #11718549C22semidirect
129. #11718547C22semidirect
130. #11718547C22semidirect
131. #11718546C22semidirect
132. #11718542C22semidirect
133. #11718542C22semidirect
134. #11718542C22semidirect
135. #11718542C22semidirect
140. #11718539C22semidirect
141. #11718539C22semidirect
142. #11718538C22semidirect
143. #11718532C22semidirect
144. #11718528C22semidirect
145. #11718527C22semidirect
146. #11718524C22semidirect
147. #11718524C22semidirect
148. #11718523C22semidirect
149. #11718523C22semidirect
150. #11718522C22semidirect
151. #11718522C22semidirect
152. #11718522C22semidirect
153. #11718522C22semidirect
159. #11718519C22semidirect
160. #11718519C22semidirect
161. #11718518C22semidirect
162. #11718513C22semidirect
163. #11718508C22semidirect
164. #11718499C22semidirect
166. #11718490C22semidirect
167. #11718476C22semidirect
168. #11718475C22semidirect
169. #11718473C22semidirect
170. #11718473C22semidirect
171. #11718466C22semidirect
172. #11718466C22semidirect
176. #11718460C22semidirect
177. #11718457C22semidirect
178. #11718449C22semidirect
179. #11718445C22semidirect
180. #11718441C22semidirect
181. #11718441C22semidirect
182. #11718440C22semidirect
183. #11718438C22semidirect
184. #11718438C22semidirect
188. #11718427C22semidirect
189. #11718424C22semidirect
190. #11718419C22semidirect
191. #11718398C22semidirect
192. #11718396C22semidirect
193. #11718390C22semidirect
194. #11718390C22semidirect
197. #11718384C22semidirect
198. #11718382C22semidirect
199. C4×#6095C22semidirect
200. #11718349C22semidirect
202. #11718344C22semidirect
700. #3351D13direct (N × H)
847. #552C2×D13semidirect
876. #499C2×D13semidirect
884. #485C2×D13semidirect
892. #483C2×D13semidirect
900. #482C2×D13semidirect
908. #481C2×D13semidirect
916. #479C2×D13semidirect
924. #478C2×D13semidirect
939. #468C2×D13semidirect
940. #468C2×D13semidirect
948. C4×SD16C2×D13semidirect
956. #436C2×D13semidirect
971. #428C2×D13semidirect
972. #428C2×D13semidirect
1329. D13#3351direct (N × H)
1531. C13C2×#3351semidirect

Maximal subgroups

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

subgroupindex
D13×#5532
D13×#5522
#131274032
#131274022
#131274012
#131274002
#131273992
#131273982
#131273972
#131273962
#131273952
#131273942
#131273932
#131273922
#131273912
#131273902
#131273892
D13×#4992
D13×#4812
D13×#4852
D13×#4822
D13×#4832
D13×#4792
D13×#4782
D13×#4682
C4×SD16×D132
D13×#4362
D13×#4282
C13×#33512
C2×#335113