Finite Group Databasebeta

← #16744704

Subgroups — #16744704

Order 3328.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128451C211yesmaximal, characteristic, complemented
2#13128446C211yesmaximal, characteristic, complemented
3#13127904C211yesmaximal, characteristic, complemented
4#13127783C211yesmaximal, characteristic, complemented
5#13127665C211yesmaximal, characteristic, complemented
6#13127606C211yesmaximal, characteristic, complemented
7#13127398C211yesmaximal, characteristic, complemented
8#13127308C211yesmaximal, characteristic, complemented
9#13127293C211yesmaximal, characteristic, complemented
10#13127091C211yesmaximal, characteristic, complemented
11#13127054C211yesmaximal, characteristic, complemented
12#13127009C211yesmaximal, characteristic, complemented
13#13126949C211yesmaximal, characteristic, complemented
14#13126859C211yesmaximal, characteristic, complemented
15#13126799C211yesmaximal, characteristic, complemented
16#13126472C211yesmaximal, characteristic, complemented
17#13126351C211yesmaximal, characteristic, complemented
18#13126336C211yesmaximal, characteristic, complemented
19#13125442C211yesmaximal, characteristic, complemented
20#13125431C211yesmaximal, characteristic, complemented
21#13125406C211yesmaximal, characteristic, complemented
22#13124918C211yesmaximal, characteristic, complemented
23#13124885C211yesmaximal, characteristic, complemented
24#13124868C211yesmaximal, characteristic, complemented
25#13124856C211yesmaximal, characteristic, complemented
26#13124856C211yesmaximal, characteristic, complemented
27#13124845C211yesmaximal, characteristic, complemented
28C4×#88163C211yesmaximal, characteristic, complemented
29C4×#88162C211yesmaximal, characteristic, complemented
30C2×C4×#6095C211yesmaximal, characteristic, complemented
31C13×#2965C211yesmaximal, characteristic, complemented
32C4×C13×#41C2211yescharacteristic
33#11719534—21no—
34#11719529—21no—
35C2×#88163C2211yescharacteristic
36C2×#88162C2211yescharacteristic
37C22×#6095C2211yescharacteristic
38#11719290C2211yescharacteristic
39#11719289C2211yescharacteristic, complemented
40#11719285—21no—
41#11719284C2211yescharacteristic
42#11719283—21no—
43#11719272C2211yescharacteristic, complemented
44#11719270C2211yescharacteristic
45#11719270C2211yescharacteristic
46#11719260C2211yescharacteristic, complemented
47#11719257C2211yescharacteristic
48#11719257C2211yescharacteristic, complemented
49#11719255C2211yescharacteristic
50#11719255C2211yescharacteristic
51D4×D52C2211yescharacteristic
52#11719252—21no—
53#11719252—21no—
54C4×D4×D13—21no—
55#11719248C2211yescharacteristic
56#11719246C2211yescharacteristic
57#11719246C2211yescharacteristic, complemented
58#11719243—21no—
59#11719243—21no—
60D4×Dic26C2211yescharacteristic, complemented
61C4×#6129—21no—
62#11719238—21no—
63#11719236—21no—
64#11719236—21no—
65#11719235—21no—
66#11719232—21no—
67#11719232—21no—
68#11719184C2211yescharacteristic
69#11719184C2211yescharacteristic
70#11719184C2211yescharacteristic, complemented
71#11719184C2211yescharacteristic, complemented
72#11719182C2211yescharacteristic
73C4×#6127C2211yescharacteristic
74C4×#6127C2211yescharacteristic, complemented
75C2×C4×D52C2211yescharacteristic
76C2×C4×D52C2211yescharacteristic
77#11719175C2211yescharacteristic, complemented
78C2×C4×Dic26C2211yescharacteristic, complemented
79C2×C4×Dic26C2211yescharacteristic, complemented
80C13×#446C2211yescharacteristic, complemented
81C13×#446C2211yescharacteristic, complemented
82C13×#436C2211yescharacteristic, complemented
83C13×#436C2211yescharacteristic, complemented
84C13×#435C2211yescharacteristic
85C13×#435C2211yescharacteristic
86C13×#435C2211yescharacteristic, complemented
87C13×#435C2211yescharacteristic, complemented
88C13×#431C2211yescharacteristic, complemented
89C13×#431C2211yescharacteristic, complemented
90C13×#431C2211yescharacteristic, complemented
91C4×C13×M16C2211yescharacteristic, complemented
92C4×C13×M16C2211yescharacteristic, complemented
93C2×C4×C8×C13C2211yescharacteristic, complemented
94#11718798C2211yescharacteristic, complemented
95#11718798C2211yescharacteristic, complemented
96#11718796C2211yescharacteristic, complemented
97#11718796C2211yescharacteristic, complemented
98#11718795C2211yescharacteristic
99#11718795C2211yescharacteristic
100#11718795C2211yescharacteristic, complemented
101#11718795C2211yescharacteristic, complemented
102#11718794C2211yescharacteristic
103#11718794C2211yescharacteristic, complemented
104#11718792C2211yescharacteristic
105#11718782C2211yescharacteristic, complemented
106#11718782C2211yescharacteristic, complemented
107#11718781C2211yescharacteristic, complemented
108#11718777C2211yescharacteristic, complemented
109#11718776C2211yescharacteristic
110#11718775C2211yescharacteristic
111#11718775C2211yescharacteristic, complemented
112C2×#88061C2211yescharacteristic
113C2×#88057C2211yescharacteristic, complemented
114C2×#88056C2211yescharacteristic, complemented
115#11718512C2211yescharacteristic, complemented
116#11718512C2211yescharacteristic, complemented
117#11718509C2211yescharacteristic
118#11718509C2211yescharacteristic
119#11718508C2211yescharacteristic
120#11718508C2211yescharacteristic
121#11718508C2211yescharacteristic, complemented
122#11718508C2211yescharacteristic, complemented
123#11718506C2211yescharacteristic, complemented
124#11718506C2211yescharacteristic, complemented
125#11718506C2211yescharacteristic, complemented
126#11718506C2211yescharacteristic, complemented
127#11718505C2211yescharacteristic
128#11718505C2211yescharacteristic
129#11718505C2211yescharacteristic, complemented
130#11718505C2211yescharacteristic, complemented
131#11718503C2211yescharacteristic
132#11718503C2211yescharacteristic, complemented
133#11718502C2211yescharacteristic
134#11718502C2211yescharacteristic, complemented
135#11718490C2211yescharacteristic, complemented
136#11718490C2211yescharacteristic, complemented
137#11718490C2211yescharacteristic, complemented
138#11718490C2211yescharacteristic, complemented
139#11718400C2211yescharacteristic, complemented
140#11718399C2211yescharacteristic
141#11718399C2211yescharacteristic, complemented
142#11718399C2211yescharacteristic, complemented
143#11718398C2211yescharacteristic
144#11718398C2211yescharacteristic, complemented
145#11718397C2211yescharacteristic
146#11718396C2211yescharacteristic, complemented
147#11718396C2211yescharacteristic, complemented
148#11718396C2211yescharacteristic, complemented
149#11718395C2211yescharacteristic
150#11718395C2211yescharacteristic
151#11718394C2211yescharacteristic
152#11718394C2211yescharacteristic, complemented
153#11718393C2211yescharacteristic
154#11718392C2211yescharacteristic
155#11718392C2211yescharacteristic
156#11718392C2211yescharacteristic
157#11718384C2211yescharacteristic, complemented
158#11718384C2211yescharacteristic, complemented
159#11718383C2211yescharacteristic, complemented
160#11718382C2211yescharacteristic, complemented
161#11718382C2211yescharacteristic, complemented
162#11718382C2211yescharacteristic, complemented
163#11718377C2211yescharacteristic, complemented
164#11718377C2211yescharacteristic, complemented
165#11718376C2211yescharacteristic, complemented
166#11718375C2211yescharacteristic, complemented
167#11718375C2211yescharacteristic, complemented
168#11718374C2211yescharacteristic
169#11718373C2211yescharacteristic
170#11718372C2211yescharacteristic
171#11718372C2211yescharacteristic, complemented
172#11718371C2211yescharacteristic
173#11718371C2211yescharacteristic
174#11718371C2211yescharacteristic
175#11718371C2211yescharacteristic, complemented
176#11718364C2211yescharacteristic, complemented
177#11718363C2211yescharacteristic, complemented
178#11718363C2211yescharacteristic, complemented
179C4×Dic52C2211yescharacteristic, complemented
180C4×Dic52C2211yescharacteristic, complemented
181C4×Dic52C2211yescharacteristic, complemented
182#11718358C2211yescharacteristic, complemented
183#11718358C2211yescharacteristic, complemented
184#11718357C2211yescharacteristic, complemented
185C4×D104C2211yescharacteristic
186C4×D104C2211yescharacteristic, complemented
187C4×D104C2211yescharacteristic, complemented
188C4×#6095C2211yescharacteristic
189C4×#6095C2211yescharacteristic
190C4×#6095C2211yescharacteristic
191C4×#6095C2211yescharacteristic
192C4×#6095C2211yescharacteristic
193C4×#6095C2211yescharacteristic, complemented
194C4×#6095C2211yescharacteristic, complemented
195C4×#6095C2211yescharacteristic, complemented
196C4×#6095C2211yescharacteristic, complemented
197C4×#6095C2211yescharacteristic, complemented
198C4×#6095C2211yescharacteristic, complemented
199C4×#6095C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic, complemented
201C4×#6095C2211yescharacteristic, complemented
202#11718344C2211yescharacteristic, complemented
203C2×C13×#41D411yescharacteristic
204C2×#6129—21no—
205C2×D4×D13—21no—
206C2×#6127—21no—
207C2×#6127C2311yescharacteristic
208C2×#6127C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×C4×D13—21no—
212C22×C4×D13—21no—
213C22×Dic26C2311yescharacteristic
214C22×Dic26C2311yescharacteristic
215C2×C13×M16C2311yescharacteristic
216C2×C13×M16C2311yescharacteristic
217C2×C13×M16C2311yescharacteristic
218C2×C13×M16C2311yescharacteristic
219C22×C8×C13C2311yescharacteristic
220C22×C8×C13C2311yescharacteristic
221C4×Q8×C13D411yescharacteristic
222C4×Q8×C13C2311yescharacteristic
223C4×D4×C13D411yescharacteristic
224C4×D4×C13D411yescharacteristic
225C4×D4×C13D411yescharacteristic
226C4×D4×C13C2311yescharacteristic
227C4×D4×C13C2311yescharacteristic
228C4×D4×C13C2311yescharacteristic
229C13×#117D411yescharacteristic
230C13×#117D411yescharacteristic
231C13×#117D411yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235#88201—21no—
236#88200—21no—
237#88200—21no—
238#88198—21no—
239#88193—21no—
240#88193—21no—
241#88193—21no—
242#88193—21no—
243#88191—21no—
244#88191—21no—
245#88189—21no—
246#88189—21no—
247D4×Dic13—21no—
248D4×Dic13—21no—
249#88184—21no—
250#88184C2311yescharacteristic
251#88184C2311yescharacteristic
252#88184C2311yescharacteristic
253#88184C2311yescharacteristic
254#88184C2311yescharacteristic
255#88184C2311yescharacteristic
256#88183—21no—
257#88183—21no—
258#88183—21no—
259#88183—21no—
260C4×C22⋊D13—21no—
261C4×C22⋊D13—21no—
262C4×C22⋊D13—21no—
263C4×C22⋊D13—21no—
264C4×C22⋊D13—21no—
265C4×C22⋊D13—21no—
266C4×C22⋊D13—21no—
267C4×C22⋊D13—21no—
268C2×#6103—21no—
269C2×#6103—21no—
270#88180—21no—
271#88180C2311yescharacteristic
272#88180C2311yescharacteristic
273C2×C4⋊Dic13C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277#88178—21no—
278#88178C2311yescharacteristic
279#88178C2311yescharacteristic
280#88178C2311yescharacteristic
281#88178C2311yescharacteristic
282#88178C2311yescharacteristic
283#88178C2311yescharacteristic
284C2×#6101—21no—
285C2×#6101—21no—
286C2×C4×Dic13—21no—
287C2×C4×Dic13—21no—
288#88163—24no—
289#88162—24no—
290C2×Dic52C2311yescharacteristic
291C2×Dic52C2311yescharacteristic
292C2×Dic52C2311yescharacteristic
293C2×D104C2311yescharacteristic
294C2×D104C2311yescharacteristic
295C2×D104C2311yescharacteristic
296C2×#6095—24no—
297C2×#6095C2311yescharacteristic
298C2×#6095C2311yescharacteristic
299C2×#6095C2311yescharacteristic
300C2×#6095C2311yescharacteristic
301C2×#6095C2311yescharacteristic
302C2×#6095C2311yescharacteristic
303C2×#6095C2311yescharacteristic
304C2×#6095C2311yescharacteristic
305C2×#6095C2311yescharacteristic
306C2×#6095C2311yescharacteristic
307#88152—21no—
308#88152—21no—
309#88152—21no—
310#88152—21no—
311#88151—21no—
312#88150—21no—
313#88150—21no—
314#88150—21no—
315#88150—21no—
316#88149—21no—
317#88148—21no—
318#88148—21no—
319#88148—21no—
320#88148—21no—
321#88147—21no—
322#88146—21no—
323C4⋊C4×D13—21no—
324#88144—21no—
325#88143—21no—
326#88143—21no—
327#88143—21no—
328#88143—21no—
329#88142—21no—
330#88141—21no—
331#88140—21no—
332#88140—21no—
333#88139—21no—
334#88139—21no—
335#88138—21no—
336#88138—21no—
337#88137—21no—
338#88137—21no—
339#88136—21no—
340#88136—21no—
341#88135—21no—
342#88135—21no—
343#88135—21no—
344#88135—21no—
345C22⋊C4×D13—21no—
346C22⋊C4×D13—21no—
347#88133—21no—
348#88133—21no—
349#88132—21no—
350#88132—21no—
351#88132—21no—
352#88132—21no—
353#88131—21no—
354#88131—21no—
355#88130—21no—
356#88130—21no—
357#88130—21no—
358#88130—21no—
359#88129—21no—
360#88129C2311yescharacteristic
361#88129C2311yescharacteristic
362#88129C2311yescharacteristic
363#88129C2311yescharacteristic
364#88128C2311yescharacteristic
365C4×D52—21no—
366C4×D52—21no—
367C4×D52—21no—
368C4×D52—21no—
369C4×D52—21no—
370C4×D52C2311yescharacteristic
371C4×D52C2311yescharacteristic
372C4×D52C2311yescharacteristic
373C4×D52C2311yescharacteristic
374C4×D52C2311yescharacteristic
375C4×D52C2311yescharacteristic
376C4×D52C2311yescharacteristic
377C4×D52C2311yescharacteristic
378C4×D52C2311yescharacteristic
379C4×D52C2311yescharacteristic
380#88126—21no—
381#88126—21no—
382#88126—21no—
383#88126—21no—
384#88126—21no—
385#88126—21no—
386C42×D13—21no—
387C42×D13—21no—
388#88124—21no—
389#88124C2311yescharacteristic
390#88124C2311yescharacteristic
391#88124C2311yescharacteristic
392#88124C2311yescharacteristic
393#88123C2311yescharacteristic
394#88123C2311yescharacteristic
395#88123C2311yescharacteristic
396C4×Dic26—21no—
397C4×Dic26—21no—
398C4×Dic26—21no—
399C4×Dic26—21no—
400C4×Dic26—21no—
401C4×Dic26C2311yescharacteristic
402C4×Dic26C2311yescharacteristic
403C4×Dic26C2311yescharacteristic
404C4×Dic26C2311yescharacteristic
405C4×Dic26C2311yescharacteristic
406C4×Dic26C2311yescharacteristic
407C4×Dic26C2311yescharacteristic
408C4×Dic26C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×C4⋊C8C2311yescharacteristic
412C13×C4⋊C8C2311yescharacteristic
413C13×C4⋊C8C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×C4⋊C8C2311yescharacteristic
416C13×C4⋊C8C2311yescharacteristic
417C13×C22⋊C8C2311yescharacteristic
418C13×C22⋊C8C2311yescharacteristic
419C13×C22⋊C8C2311yescharacteristic
420C13×C22⋊C8C2311yescharacteristic
421C13×C22⋊C8C2311yescharacteristic
422C13×C22⋊C8C2311yescharacteristic
423C13×#97C2311yescharacteristic
424C13×#97C2311yescharacteristic
425C13×#97C2311yescharacteristic
426C13×#97C2311yescharacteristic
427C4×C8×C13C2311yescharacteristic
428C4×C8×C13C2311yescharacteristic
429C4×C8×C13C2311yescharacteristic
430C4×C8×C13C2311yescharacteristic
431C4×C8×C13C2311yescharacteristic
432C4×C8×C13C2311yescharacteristic
433#88061C2311yescharacteristic
434#88061C2311yescharacteristic
435#88061C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88061C2311yescharacteristic
445#88061C2311yescharacteristic
446#88061C2311yescharacteristic
447#88061C2311yescharacteristic
448#88061C2311yescharacteristic
449#88058C2311yescharacteristic
450#88058C2311yescharacteristic
451#88058C2311yescharacteristic
452#88058C2311yescharacteristic
453#88058C2311yescharacteristic
454#88058C2311yescharacteristic
455#88057C2311yescharacteristic
456#88057C2311yescharacteristic
457#88057C2311yescharacteristic
458#88057C2311yescharacteristic
459#88057C2311yescharacteristic
460#88057C2311yescharacteristic
461#88057C2311yescharacteristic
462#88057C2311yescharacteristic
463#88057C2311yescharacteristic
464#88057C2311yescharacteristic
465#88056C2311yescharacteristic
466#88056C2311yescharacteristic
467#88056C2311yescharacteristic
468#88056C2311yescharacteristic
469#88056C2311yescharacteristic
470#88056C2311yescharacteristic
471#88056C2311yescharacteristic
472#88056C2311yescharacteristic
473#88056C2311yescharacteristic
474#88056C2311yescharacteristic
475#88056C2311yescharacteristic
476#88056C2311yescharacteristic
477#88056C2311yescharacteristic
478#88056C2311yescharacteristic
479#88056C2311yescharacteristic
480#88056C2311yescharacteristic
481#61445—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13—21no—
484C13×#41—42no—
485C2×Q8×C13C2×D411yescharacteristic
486C2×D4×C13C2×D411yescharacteristic
487C2×D4×C13C2×D411yescharacteristic
488C2×D4×C13C2×D411yescharacteristic
489C22×C4×C13C2×D411yescharacteristic
490C22×C4×C13C2×D411yescharacteristic
491C22×C4×C13C2×D411yescharacteristic
492C22×C4×C13C2×D411yescharacteristic
493C22×C4×C13C2×D411yescharacteristic
494C22×C4×C13C2×D411yescharacteristic
495C22×C4×C13C2411yescharacteristic
496C22×C4×C13C2411yescharacteristic
497C22×C4×C13C2411yescharacteristic
498C2×C22⋊D13—21no—
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C2×C22⋊D13—21no—
504C2×C22⋊D13—21no—
505C2×C22⋊D13—21no—
506C22×Dic13—21no—
507C22×Dic13—21no—
508C22×Dic13—21no—
509C22×Dic13—21no—
510C22×Dic13—21no—
511C22×Dic13—21no—
512#6129—44no—
513D4×D13—44no—
514#6127—22no—
515#6127—22no—
516#6127—41no—
517#6127—41no—
518#6127—82no—
519C2×D52—22no—
520C2×D52—22no—
521C2×D52—21no—
522C2×D52—21no—
523C2×D52—21no—
524C2×D52—21no—
525C2×D52—41no—
526C2×D52—41no—
527C2×D52C2411yescharacteristic
528C2×D52C2411yescharacteristic
529C2×D52C2411yescharacteristic
530C2×D52C2411yescharacteristic
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—21no—
539C2×C4×D13—21no—
540C2×C4×D13—21no—
541C2×C4×D13—21no—
542C2×C4×D13—21no—
543C2×C4×D13—82no—
544C2×C4×D13—82no—
545C2×Dic26—22no—
546C2×Dic26—22no—
547C2×Dic26—21no—
548C2×Dic26—21no—
549C2×Dic26—21no—
550C2×Dic26—21no—
551C2×Dic26—41no—
552C2×Dic26—41no—
553C2×Dic26C2411yescharacteristic
554C2×Dic26C2411yescharacteristic
555C2×Dic26C2411yescharacteristic
556C2×Dic26C2411yescharacteristic
557C13×M16—22no—
558C13×M16—22no—
559C13×M16—41no—
560C13×M16—41no—
561C2×C8×C13—22no—
562C2×C8×C13—41no—
563C2×C8×C13C2411yescharacteristic
564C2×C8×C13C2411yescharacteristic
565C2×C8×C13C2411yescharacteristic
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
569C2×C8×C13C2411yescharacteristic
570C2×C8×C13C2411yescharacteristic
571C13×C4⋊C4C2×D411yescharacteristic
572C13×C4⋊C4C2×D411yescharacteristic
573C13×C4⋊C4C2×D411yescharacteristic
574C13×C4⋊C4C2×D411yescharacteristic
575C13×C4⋊C4C2×D411yescharacteristic
576C13×C4⋊C4C2×D411yescharacteristic
577C13×C22⋊C4C2×D411yescharacteristic
578C13×C22⋊C4C2×D411yescharacteristic
579C13×C22⋊C4C2×D411yescharacteristic
580C13×C22⋊C4C2×D411yescharacteristic
581C13×C22⋊C4C2×D411yescharacteristic
582C13×C22⋊C4C2×D411yescharacteristic
583C42×C13C2×D411yescharacteristic
584C42×C13C2×D411yescharacteristic
585C42×C13C2×D411yescharacteristic
586C42×C13C2×D411yescharacteristic
587C42×C13C2×D411yescharacteristic
588C42×C13C2×D411yescharacteristic
589C42×C13C2411yescharacteristic
590C42×C13C2411yescharacteristic
591C42×C13C2411yescharacteristic
592C42×C13C2411yescharacteristic
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—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#6103—21no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103—21no—
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625C4⋊Dic13—21no—
626C4⋊Dic13—21no—
627C4⋊Dic13—21no—
628C4⋊Dic13—21no—
629C4⋊Dic13—21no—
630C4⋊Dic13—21no—
631C4⋊Dic13—21no—
632C4⋊Dic13—21no—
633C4⋊Dic13C2411yescharacteristic
634C4⋊Dic13C2411yescharacteristic
635C4⋊Dic13C2411yescharacteristic
636C4⋊Dic13C2411yescharacteristic
637C4⋊Dic13C2411yescharacteristic
638C4⋊Dic13C2411yescharacteristic
639C4⋊Dic13C2411yescharacteristic
640C4⋊Dic13C2411yescharacteristic
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#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665C4×Dic13—21no—
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676C4×Dic13—21no—
677Dic52—22no—
678Dic52—22no—
679Dic52—41no—
680D104—22no—
681D104—22no—
682D104—41no—
683#6095—22no—
684#6095—22no—
685#6095—22no—
686#6095—22no—
687#6095—22no—
688#6095—41no—
689#6095—41no—
690#6095—41no—
691#6095—41no—
692#6095#4114yescomplemented
693#3482—131no—
694#3481—131no—
695#3401—131no—
696#3388—131no—
697#3376—131no—
698#3371—131no—
699#3351—131no—
700#3345—131no—
701#3344—131no—
702#3326—131no—
703#3323—131no—
704#3320—131no—
705#3316—131no—
706#3310—131no—
707#3306—131no—
708#3275—131no—
709#3266—131no—
710#3265—131no—
711#3172—131no—
712#3171—131no—
713#3168—131no—
714#3108—131no—
715#3105—131no—
716#3103—131no—
717#3102—131no—
718#3102—131no—
719#3101—131no—
720#2965D1311yescharacteristic, complemented
721C4×#137—131no—
722C4×AGL(1,ℤ/8)—131no—
723C2×C4×SD16—131no—
724C23×C13C22×D411yescharacteristic
725C23×C13C22×D411yescharacteristic
726C23×C13C22×D411yescharacteristic
727C22×D13—21no—
728C22×D13—21no—
729C22×D13—21no—
730C22×D13—21no—
731C22×D13—42no—
732C22×D13—42no—
733C22×D13—42no—
734C22×D13—42no—
735C22×D13—81no—
736C22×D13—81no—
737Q8×C13—41no—
738D4×C13—22no—
739D4×C13—22no—
740D4×C13—41no—
741C2×C4×C13—22no—
742C2×C4×C13—22no—
743C2×C4×C13—22no—
744C2×C4×C13—22no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—41no—
752C2×C4×C13—41no—
753C2×C4×C13C22×D411yescharacteristic
754C2×C4×C13C22×D411yescharacteristic
755C2×C4×C13C22×D411yescharacteristic
756C2×C4×C13C22×D411yescharacteristic
757C2×C4×C13C22×D411yescharacteristic
758C2×C4×C13C22×D411yescharacteristic
759C2×C4×C13C22×D411yescharacteristic
760C2×C4×C13C22×D411yescharacteristic
761C2×C4×C13C22×D411yescharacteristic
762C2×C4×C13C22×D411yescharacteristic
763C2×C4×C13C22×D411yescharacteristic
764C2×C4×C13C2511yescharacteristic
765C22⋊D13—42no—
766C22⋊D13—42no—
767C22⋊D13—42no—
768C22⋊D13—42no—
769C22⋊D13—42no—
770C22⋊D13—42no—
771C22⋊D13—81no—
772C22⋊D13—81no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—42no—
786C2×Dic13—42no—
787C2×Dic13—42no—
788C2×Dic13—42no—
789C2×Dic13—81no—
790C2×Dic13—81no—
791D52—21no—
792D52—21no—
793D52—21no—
794D52—21no—
795D52—21no—
796D52—21no—
797D52—21no—
798D52—42no—
799D52—42no—
800D52—42no—
801D52—81no—
802D52C2×#4112yes—
803C4×D13—42no—
804C4×D13—42no—
805C4×D13—42no—
806C4×D13—42no—
807C4×D13—42no—
808C4×D13—42no—
809C4×D13—42no—
810C4×D13—42no—
811C4×D13—81no—
812C4×D13—81no—
813C4×D13—81no—
814C4×D13—81no—
815Dic26—21no—
816Dic26—21no—
817Dic26—21no—
818Dic26—21no—
819Dic26—21no—
820Dic26—21no—
821Dic26—21no—
822Dic26—42no—
823Dic26—42no—
824Dic26—42no—
825Dic26—81no—
826Dic26C2×#4112yes—
827C8×C13—21no—
828C8×C13—21no—
829C8×C13—21no—
830C8×C13—21no—
831C8×C13—21no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13C2×#4112yes—
835C2×#137—131no—
836C2×AGL(1,ℤ/8)—131no—
837C22×SD16—131no—
838#559—131no—
839#557—131no—
840#556—131no—
841#556—261no—
842#554—131no—
843#554—131no—
844#553—131no—
845#553—131no—
846#553—261no—
847#552—131no—
848#552—131no—
849#552—261no—
850#552—261no—
851#551—261no—
852#551—261no—
853D4×Q8—131no—
854#548—131no—
855#548—131no—
856#547—131no—
857#547—261no—
858#546—131no—
859#546—131no—
860#546—261no—
861D42—131no—
862#533—131no—
863#533—261no—
864#532—131no—
865#529—131no—
866#529—131no—
867#529—131no—
868#529—131no—
869#529—261no—
870#529—261no—
871#529—261no—
872#525—261no—
873#525—261no—
874C4×#41—131no—
875C4×#41—131no—
876C4×#41—261no—
877C4×#41C2×D1311yescharacteristic
878C2×C4×Q8—131no—
879C2×C4×Q8—131no—
880C2×C4×D4—131no—
881C2×C4×D4—131no—
882C2×C4×D4—261no—
883#501—131no—
884#501—131no—
885#499—131no—
886#497—131no—
887#496—131no—
888#495—131no—
889#491—131no—
890#490—131no—
891#489—131no—
892#489—131no—
893#488—131no—
894#488—131no—
895#485—131no—
896#485—131no—
897#484—131no—
898#483—131no—
899#483—131no—
900#483—131no—
901#482—131no—
902#482—131no—
903#481—131no—
904#481—131no—
905#481—131no—
906#480—131no—
907#479—131no—
908#479—131no—
909#479—131no—
910#479—131no—
911#478—131no—
912#478—131no—
913#478—131no—
914#478—131no—
915#476—131no—
916#476—131no—
917#475—131no—
918#475—131no—
919#470—131no—
920#470—131no—
921#469—131no—
922#469—131no—
923#468—131no—
924#468—131no—
925#468—131no—
926#468—131no—
927#467—131no—
928#466—131no—
929#465—131no—
930#465—131no—
931#464—131no—
932#464—131no—
933#464—131no—
934#464—131no—
935#463—131no—
936#463—131no—
937#463—131no—
938#463—131no—
939#461—131no—
940#461—131no—
941#460—131no—
942#460—131no—
943#452—131no—
944#452—131no—
945#451—131no—
946#450—131no—
947#450—131no—
948#450—131no—
949#449—131no—
950#449—131no—
951#448—131no—
952#448—131no—
953#448—131no—
954#447—131no—
955#446C2×D1311yescharacteristic, complemented
956#446C2×D1311yescharacteristic, complemented
957#442—131no—
958#442—131no—
959#441—131no—
960#441—131no—
961#440—131no—
962#440—131no—
963#440—131no—
964#440—131no—
965C4×Q16—131no—
966C4×Q16—131no—
967C4×Q16—131no—
968C4×SD16—131no—
969C4×SD16—131no—
970C4×SD16—131no—
971C4×SD16—131no—
972C4×SD16—131no—
973C4×SD16—131no—
974C4×SD16—131no—
975C4×SD16—131no—
976C4×SD16—131no—
977C4×SD16—131no—
978C4×SD16—131no—
979C4×SD16—131no—
980C4×SD16—131no—
981C4×SD16—131no—
982C4×D8—131no—
983C4×D8—131no—
984C4×D8—131no—
985#436C2×D1311yescharacteristic, complemented
986#436C2×D1311yescharacteristic, complemented
987#435C2×D1311yescharacteristic
988#435C2×D1311yescharacteristic
989#435C2×D1311yescharacteristic, complemented
990#435C2×D1311yescharacteristic, complemented
991#431C2×D1311yescharacteristic, complemented
992#431C2×D1311yescharacteristic, complemented
993#431C2×D1311yescharacteristic, complemented
994#428—131no—
995#428—131no—
996C2×#106—131no—
997#419—131no—
998#418—131no—
999#417—131no—
1000#417—131no—
1001C2×#103—131no—
1002C2×#102—131no—
1003C4×M16C2×D1311yescharacteristic, complemented
1004C4×M16C2×D1311yescharacteristic, complemented
1005C2×C4×C8C2×D1311yescharacteristic, complemented
1006C22×C13—21no—
1007C22×C13—21no—
1008C22×C13—21no—
1009C22×C13—21no—
1010C22×C13—21no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13#57512yes—
1015C22×C13C23×D411yescharacteristic
1016C2×D13—22no—
1017C2×D13—41no—
1018C2×D13—41no—
1019C2×D13—41no—
1020C2×D13—41no—
1021C2×D13—41no—
1022C2×D13—41no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—84no—
1029C2×D13—84no—
1030C4×C13—21no—
1031C4×C13—21no—
1032C4×C13—21no—
1033C4×C13—21no—
1034C4×C13—21no—
1035C4×C13—21no—
1036C4×C13—21no—
1037C4×C13—21no—
1038C4×C13—21no—
1039C4×C13—21no—
1040C4×C13#57712yes—
1041C4×C13C22×#4111yescharacteristic
1042C4×C13#58511yescharacteristic
1043Dic13—22no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13—41no—
1048Dic13—41no—
1049Dic13—41no—
1050Dic13—41no—
1051Dic13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055C2×#41—131no—
1056C2×#41—131no—
1057C2×#41—261no—
1058C2×#41—261no—
1059C2×#41D5211yescharacteristic
1060C22×Q8—131no—
1061C22×Q8—131no—
1062C22×D4—131no—
1063C22×D4—131no—
1064C22×D4—261no—
1065C23×C4—261no—
1066C23×C4—261no—
1067#137—264no—
1068AGL(1,ℤ/8)—264no—
1069C2×Q16—131no—
1070C2×Q16—131no—
1071C2×Q16—131no—
1072C2×SD16—131no—
1073C2×SD16—131no—
1074C2×SD16—131no—
1075C2×SD16—131no—
1076C2×SD16—131no—
1077C2×SD16—131no—
1078C2×SD16—131no—
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—264no—
1083C2×D8—131no—
1084C2×D8—131no—
1085C2×D8—131no—
1086C2×M16C22×D1311yescharacteristic
1087C2×M16C22×D1311yescharacteristic
1088C2×M16C22×D1311yescharacteristic
1089C2×M16C22×D1311yescharacteristic
1090C22×C8C22×D1311yescharacteristic
1091C22×C8C22×D1311yescharacteristic
1092C4⋊Q8—131no—
1093C4⋊Q8—131no—
1094C4⋊Q8—131no—
1095C4⋊Q8—261no—
1096C4⋊Q8—261no—
1097#127—131no—
1098#126—261no—
1099#126—261no—
1100#126—261no—
1101#126—261no—
1102#126—261no—
1103#126—261no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#125—131no—
1109#125—131no—
1110#125—131no—
1111#125—131no—
1112#125—261no—
1113#125—261no—
1114#125—261no—
1115#125—261no—
1116#125—261no—
1117#125—261no—
1118#124—131no—
1119#124—131no—
1120#124—131no—
1121#124—131no—
1122#124—261no—
1123#124—261no—
1124#124—261no—
1125#124—261no—
1126#123—261no—
1127#123—261no—
1128#123—261no—
1129#123—261no—
1130#123—261no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140C22⋊Q8—131no—
1141C22⋊Q8—131no—
1142C22⋊Q8—131no—
1143C22⋊Q8—131no—
1144C22⋊Q8—131no—
1145C22⋊Q8—131no—
1146C22⋊Q8—261no—
1147C22⋊Q8—261no—
1148C22⋊Q8—261no—
1149C22⋊Q8—261no—
1150C22⋊Q8—261no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158#121—131no—
1159#121—131no—
1160#121—131no—
1161#121—131no—
1162#121—131no—
1163#121—131no—
1164#121—261no—
1165#121—261no—
1166#121—261no—
1167#121—261no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#120—261no—
1173#120—261no—
1174#120—261no—
1175#120—261no—
1176C4×Q8—131no—
1177C4×Q8—131no—
1178C4×Q8—131no—
1179C4×Q8—131no—
1180C4×Q8—131no—
1181C4×Q8—131no—
1182C4×Q8—131no—
1183C4×Q8—131no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—261no—
1187C4×Q8—261no—
1188C4×Q8—261no—
1189C4×Q8—261no—
1190C4×Q8—261no—
1191C4×Q8—261no—
1192C4×Q8D5211yescharacteristic
1193C4×Q8C22×D1311yescharacteristic
1194C4×D4—131no—
1195C4×D4—131no—
1196C4×D4—131no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—261no—
1205C4×D4—261no—
1206C4×D4—261no—
1207C4×D4—261no—
1208C4×D4—261no—
1209C4×D4—261no—
1210C4×D4—261no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4D5211yescharacteristic
1225C4×D4D5211yescharacteristic
1226C4×D4D5211yescharacteristic
1227C4×D4C22×D1311yescharacteristic
1228C4×D4C22×D1311yescharacteristic
1229C4×D4C22×D1311yescharacteristic
1230#117—131no—
1231#117—131no—
1232#117—261no—
1233#117—261no—
1234#117—261no—
1235#117—261no—
1236#117—261no—
1237#117—261no—
1238#117—261no—
1239#117—261no—
1240#117—261no—
1241#117—261no—
1242#117D5211yescharacteristic
1243#117D5211yescharacteristic
1244#117D5211yescharacteristic
1245C2×C4⋊C4—131no—
1246C2×C4⋊C4—131no—
1247C2×C4⋊C4—131no—
1248C2×C4⋊C4—131no—
1249C2×C4⋊C4—261no—
1250C2×C4⋊C4—261no—
1251C2×C4⋊C4—261no—
1252C2×C22⋊C4—261no—
1253C2×C22⋊C4—261no—
1254C2×C22⋊C4—261no—
1255C2×C22⋊C4—261no—
1256C2×C42—261no—
1257C2×C42—261no—
1258C2×C42—261no—
1259C2×C42—261no—
1260C2×C42C22×D1311yescharacteristic
1261C2×C42C22×D1311yescharacteristic
1262C2×C42C22×D1311yescharacteristic
1263#107—131no—
1264#107—131no—
1265#107—131no—
1266#107—131no—
1267#107—131no—
1268#107—131no—
1269#106—131no—
1270#106—131no—
1271#106—131no—
1272#106—131no—
1273#106—131no—
1274#106—131no—
1275#106—131no—
1276#106—131no—
1277#106—131no—
1278#106—131no—
1279C4⋊C8C22×D1311yescharacteristic
1280C4⋊C8C22×D1311yescharacteristic
1281C4⋊C8C22×D1311yescharacteristic
1282C4⋊C8C22×D1311yescharacteristic
1283C4⋊C8C22×D1311yescharacteristic
1284C4⋊C8C22×D1311yescharacteristic
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#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#102—131no—
1302#102—131no—
1303#102—131no—
1304#102—131no—
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317C22⋊C8C22×D1311yescharacteristic
1318C22⋊C8C22×D1311yescharacteristic
1319C22⋊C8C22×D1311yescharacteristic
1320C22⋊C8C22×D1311yescharacteristic
1321C22⋊C8C22×D1311yescharacteristic
1322C22⋊C8C22×D1311yescharacteristic
1323#97C22×D1311yescharacteristic
1324#97C22×D1311yescharacteristic
1325#97C22×D1311yescharacteristic
1326#97C22×D1311yescharacteristic
1327C4×C8C22×D1311yescharacteristic
1328C4×C8C22×D1311yescharacteristic
1329C4×C8C22×D1311yescharacteristic
1330C4×C8C22×D1311yescharacteristic
1331C4×C8C22×D1311yescharacteristic
1332C4×C8C22×D1311yescharacteristic
1333C2×C13—22no—
1334C2×C13—41no—
1335C2×C13—41no—
1336C2×C13D4×#4111yescharacteristic
1337C2×C13C2×#57511yescharacteristic
1338C2×C13C2×#57711yescharacteristic
1339D13—42no—
1340D13—81no—
1341D13—81no—
1342D13—81no—
1343C24—261no—
1344C24—261no—
1345#41—42no—
1346#41—262no—
1347#41—262no—
1348#41—521no—
1349#41—521no—
1350#41—524no—
1351#41—1042no—
1352C2×Q8—131no—
1353C2×Q8—131no—
1354C2×Q8—131no—
1355C2×Q8—131no—
1356C2×Q8—262no—
1357C2×Q8—262no—
1358C2×Q8—261no—
1359C2×Q8—261no—
1360C2×Q8—261no—
1361C2×Q8—261no—
1362C2×Q8—521no—
1363C2×Q8—521no—
1364C2×Q8C2×D5211yescharacteristic
1365C2×D4—131no—
1366C2×D4—131no—
1367C2×D4—131no—
1368C2×D4—131no—
1369C2×D4—262no—
1370C2×D4—262no—
1371C2×D4—261no—
1372C2×D4—261no—
1373C2×D4—261no—
1374C2×D4—261no—
1375C2×D4—261no—
1376C2×D4—261no—
1377C2×D4—261no—
1378C2×D4—261no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—521no—
1384C2×D4—521no—
1385C2×D4—524no—
1386C2×D4C2×D5211yescharacteristic
1387C2×D4C2×D5211yescharacteristic
1388C2×D4C2×D5211yescharacteristic
1389C22×C4—261no—
1390C22×C4—261no—
1391C22×C4—261no—
1392C22×C4—261no—
1393C22×C4—261no—
1394C22×C4—261no—
1395C22×C4—261no—
1396C22×C4—261no—
1397C22×C4—261no—
1398C22×C4—261no—
1399C22×C4—261no—
1400C22×C4—261no—
1401C22×C4—261no—
1402C22×C4—261no—
1403C22×C4—261no—
1404C22×C4—261no—
1405C22×C4—261no—
1406C22×C4—261no—
1407C22×C4—1042no—
1408C22×C4—1042no—
1409C22×C4C2×D5211yescharacteristic
1410C22×C4C2×D5211yescharacteristic
1411C22×C4C2×D5211yescharacteristic
1412C22×C4C2×D5211yescharacteristic
1413C22×C4C2×D5211yescharacteristic
1414C22×C4C2×D5211yescharacteristic
1415C22×C4C23×D1311yescharacteristic
1416C22×C4C23×D1311yescharacteristic
1417C22×C4C23×D1311yescharacteristic
1418Q16—262no—
1419Q16—262no—
1420Q16—521no—
1421SD16—134no—
1422SD16—262no—
1423SD16—262no—
1424SD16—262no—
1425SD16—262no—
1426SD16—262no—
1427SD16—521no—
1428SD16—521no—
1429SD16—521no—
1430SD16—521no—
1431D8—262no—
1432D8—262no—
1433D8—521no—
1434M16—22no—
1435M16—22no—
1436M16—41no—
1437M16—41no—
1438C2×C8—22no—
1439C2×C8—41no—
1440C2×C8C23×D1311yescharacteristic
1441C2×C8C23×D1311yescharacteristic
1442C2×C8C23×D1311yescharacteristic
1443C2×C8C23×D1311yescharacteristic
1444C2×C8C23×D1311yescharacteristic
1445C2×C8C23×D1311yescharacteristic
1446C2×C8C23×D1311yescharacteristic
1447C2×C8C23×D1311yescharacteristic
1448C4⋊C4—131no—
1449C4⋊C4—131no—
1450C4⋊C4—131no—
1451C4⋊C4—131no—
1452C4⋊C4—131no—
1453C4⋊C4—131no—
1454C4⋊C4—131no—
1455C4⋊C4—131no—
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⋊C4—261no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4C2×D5211yescharacteristic
1489C4⋊C4C2×D5211yescharacteristic
1490C4⋊C4C2×D5211yescharacteristic
1491C4⋊C4C2×D5211yescharacteristic
1492C4⋊C4C2×D5211yescharacteristic
1493C4⋊C4C2×D5211yescharacteristic
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⋊C4—261no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4C2×D5211yescharacteristic
1527C22⋊C4C2×D5211yescharacteristic
1528C22⋊C4C2×D5211yescharacteristic
1529C22⋊C4C2×D5211yescharacteristic
1530C22⋊C4C2×D5211yescharacteristic
1531C22⋊C4C2×D5211yescharacteristic
1532C42—261no—
1533C42—261no—
1534C42—261no—
1535C42—261no—
1536C42—261no—
1537C42—261no—
1538C42—261no—
1539C42—261no—
1540C42—261no—
1541C42—261no—
1542C42—261no—
1543C42—261no—
1544C42C2×D5211yescharacteristic
1545C42C2×D5211yescharacteristic
1546C42C2×D5211yescharacteristic
1547C42C2×D5211yescharacteristic
1548C42C2×D5211yescharacteristic
1549C42C2×D5211yescharacteristic
1550C42C23×D1311yescharacteristic
1551C42C23×D1311yescharacteristic
1552C42C23×D1311yescharacteristic
1553C42C23×D1311yescharacteristic
1554C13#6144511yescharacteristic, complemented, Sylow
1555C23—261no—
1556C23—261no—
1557C23—261no—
1558C23—261no—
1559C23—522no—
1560C23—522no—
1561C23—522no—
1562C23—522no—
1563C23—1041no—
1564C23—1041no—
1565C23C22×D5211yescharacteristic
1566C23C22×D5211yescharacteristic
1567C23C22×D5211yescharacteristic
1568Q8—41no—
1569Q8—132no—
1570Q8—261no—
1571Q8—261no—
1572Q8—261no—
1573Q8—261no—
1574Q8—261no—
1575Q8—261no—
1576Q8—261no—
1577Q8—522no—
1578Q8—522no—
1579Q8—522no—
1580Q8—1041no—
1581D4—22no—
1582D4—22no—
1583D4—41no—
1584D4—132no—
1585D4—261no—
1586D4—261no—
1587D4—261no—
1588D4—261no—
1589D4—261no—
1590D4—261no—
1591D4—261no—
1592D4—522no—
1593D4—522no—
1594D4—522no—
1595D4—522no—
1596D4—522no—
1597D4—522no—
1598D4—522no—
1599D4—522no—
1600D4—522no—
1601D4—1041no—
1602D4—1041no—
1603D4—1041no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—261no—
1624C2×C4—261no—
1625C2×C4—261no—
1626C2×C4—261no—
1627C2×C4—261no—
1628C2×C4—522no—
1629C2×C4—522no—
1630C2×C4—522no—
1631C2×C4—522no—
1632C2×C4—522no—
1633C2×C4—522no—
1634C2×C4—522no—
1635C2×C4—522no—
1636C2×C4—522no—
1637C2×C4—522no—
1638C2×C4—522no—
1639C2×C4—522no—
1640C2×C4—1041no—
1641C2×C4—1041no—
1642C2×C4—1041no—
1643C2×C4—1041no—
1644C2×C4—1041no—
1645C2×C4—1041no—
1646C2×C4C22×D5211yescharacteristic
1647C2×C4C22×D5211yescharacteristic
1648C2×C4C22×D5211yescharacteristic
1649C2×C4C22×D5211yescharacteristic
1650C2×C4C22×D5211yescharacteristic
1651C2×C4C22×D5211yescharacteristic
1652C2×C4C22×D5211yescharacteristic
1653C2×C4C22×D5211yescharacteristic
1654C2×C4C22×D5211yescharacteristic
1655C2×C4C22×D5211yescharacteristic
1656C2×C4C22×D5211yescharacteristic
1657C2×C4C24×D1311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8#41×D1312yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—262no—
1675C22—521no—
1676C22—521no—
1677C22—521no—
1678C22—521no—
1679C22—521no—
1680C22—521no—
1681C22—521no—
1682C22—521no—
1683C22—521no—
1684C22—521no—
1685C22—521no—
1686C22—1044no—
1687C22—1044no—
1688C22#1171945312yes—
1689C22C23×D5211yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—262no—
1701C4—521no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C4—521no—
1711C4—521no—
1712C4#1171945612yes—
1713C4C2×#41×D1311yescharacteristic
1714C4#1171964811yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—41no—
1718C2—522no—
1719C2—1041no—
1720C2—1041no—
1721C2—1041no—
1722C2#41×D5211yescharacteristic
1723C2C2×#1171945311yescharacteristic
1724C2C2×#1171945611yescharacteristic
subgroupG/H
centerC2×C4C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#2965C2
socleC22×C13C23×D4
hypercenter#2965D13
hypocenterC13#61445
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #2965

Complements

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

NH ≅ G/Ntype
1. #13128451C2semidirect
2. #13128446C2semidirect
3. #13127904C2semidirect
4. #13127783C2semidirect
5. #13127665C2semidirect
6. #13127606C2semidirect
7. #13127398C2semidirect
8. #13127308C2semidirect
9. #13127293C2semidirect
10. #13127091C2semidirect
11. #13127054C2semidirect
12. #13127009C2semidirect
13. #13126949C2semidirect
14. #13126859C2semidirect
15. #13126799C2semidirect
16. #13126472C2semidirect
17. #13126351C2semidirect
18. #13126336C2semidirect
19. #13125442C2semidirect
20. #13125431C2semidirect
21. #13125406C2semidirect
22. #13124918C2semidirect
23. #13124885C2semidirect
24. #13124868C2semidirect
25. #13124856C2semidirect
26. #13124856C2semidirect
27. #13124845C2semidirect
28. C4×#88163C2semidirect
29. C4×#88162C2semidirect
30. C2×C4×#6095C2semidirect
31. C13×#2965C2semidirect
39. #11719289C22semidirect
43. #11719272C22semidirect
46. #11719260C22semidirect
48. #11719257C22semidirect
57. #11719246C22semidirect
60. D4×Dic26C22semidirect
70. #11719184C22semidirect
71. #11719184C22semidirect
74. C4×#6127C22semidirect
77. #11719175C22semidirect
78. C2×C4×Dic26C22semidirect
79. C2×C4×Dic26C22semidirect
80. C13×#446C22semidirect
81. C13×#446C22semidirect
82. C13×#436C22semidirect
83. C13×#436C22semidirect
86. C13×#435C22semidirect
87. C13×#435C22semidirect
88. C13×#431C22semidirect
89. C13×#431C22semidirect
90. C13×#431C22semidirect
91. C4×C13×M16C22semidirect
92. C4×C13×M16C22semidirect
93. C2×C4×C8×C13C22semidirect
94. #11718798C22semidirect
95. #11718798C22semidirect
96. #11718796C22semidirect
97. #11718796C22semidirect
100. #11718795C22semidirect
101. #11718795C22semidirect
103. #11718794C22semidirect
105. #11718782C22semidirect
106. #11718782C22semidirect
107. #11718781C22semidirect
108. #11718777C22semidirect
111. #11718775C22semidirect
113. C2×#88057C22semidirect
114. C2×#88056C22semidirect
115. #11718512C22semidirect
116. #11718512C22semidirect
121. #11718508C22semidirect
122. #11718508C22semidirect
123. #11718506C22semidirect
124. #11718506C22semidirect
125. #11718506C22semidirect
126. #11718506C22semidirect
129. #11718505C22semidirect
130. #11718505C22semidirect
132. #11718503C22semidirect
134. #11718502C22semidirect
135. #11718490C22semidirect
136. #11718490C22semidirect
137. #11718490C22semidirect
138. #11718490C22semidirect
139. #11718400C22semidirect
141. #11718399C22semidirect
142. #11718399C22semidirect
144. #11718398C22semidirect
146. #11718396C22semidirect
147. #11718396C22semidirect
148. #11718396C22semidirect
152. #11718394C22semidirect
157. #11718384C22semidirect
158. #11718384C22semidirect
159. #11718383C22semidirect
160. #11718382C22semidirect
161. #11718382C22semidirect
162. #11718382C22semidirect
163. #11718377C22semidirect
164. #11718377C22semidirect
165. #11718376C22semidirect
166. #11718375C22semidirect
167. #11718375C22semidirect
171. #11718372C22semidirect
175. #11718371C22semidirect
176. #11718364C22semidirect
177. #11718363C22semidirect
178. #11718363C22semidirect
179. C4×Dic52C22semidirect
180. C4×Dic52C22semidirect
181. C4×Dic52C22semidirect
182. #11718358C22semidirect
183. #11718358C22semidirect
184. #11718357C22semidirect
186. C4×D104C22semidirect
187. C4×D104C22semidirect
193. C4×#6095C22semidirect
194. C4×#6095C22semidirect
195. C4×#6095C22semidirect
196. C4×#6095C22semidirect
197. C4×#6095C22semidirect
198. C4×#6095C22semidirect
199. C4×#6095C22semidirect
200. C4×#6095C22semidirect
201. C4×#6095C22semidirect
202. #11718344C22semidirect
692. #6095#41semidirect
720. #2965D13semidirect
955. #446C2×D13semidirect
956. #446C2×D13semidirect
985. #436C2×D13semidirect
986. #436C2×D13semidirect
989. #435C2×D13semidirect
990. #435C2×D13semidirect
991. #431C2×D13semidirect
992. #431C2×D13semidirect
993. #431C2×D13semidirect
1003. C4×M16C2×D13semidirect
1004. C4×M16C2×D13semidirect
1005. C2×C4×C8C2×D13semidirect
1554. C13#61445semidirect

Maximal subgroups

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

subgroupindex
#131284512
#131284462
#131279042
#131277832
#131276652
#131276062
#131273982
#131273082
#131272932
#131270912
#131270542
#131270092
#131269492
#131268592
#131267992
#131264722
#131263512
#131263362
#131254422
#131254312
#131254062
#131249182
#131248852
#131248682
#131248562
#131248452
C4×#881632
C4×#881622
C2×C4×#60952
C13×#29652
#6144513