Finite Group Databasebeta

← #16744915

Subgroups — #16744915

Order 3328.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128446C211yesmaximal, characteristic, complemented
2#13128400C211yesmaximal, characteristic, complemented
3#13127904C211yesmaximal, characteristic, complemented
4#13127796C211yesmaximal, characteristic, complemented
5#13127665C211yesmaximal, characteristic, complemented
6#13127591C211yesmaximal, characteristic, complemented
7#13127338C211yesmaximal, characteristic, complemented
8#13127293C211yesmaximal, characteristic, complemented
9#13127217C211yesmaximal, characteristic, complemented
10#13126994C211yesmaximal, characteristic, complemented
11#13126919C211yesmaximal, characteristic, complemented
12#13126859C211yesmaximal, characteristic, complemented
13#13126814C211yesmaximal, characteristic, complemented
14#13126688C211yesmaximal, characteristic, complemented
15#13126673C211yesmaximal, characteristic, complemented
16#13126523C211yesmaximal, characteristic, complemented
17#13126366C211yesmaximal, characteristic, complemented
18#13126321C211yesmaximal, characteristic, complemented
19#13125565C211yesmaximal, characteristic, complemented
20#13125545C211yesmaximal, characteristic, complemented
21#13125534C211yesmaximal, characteristic, complemented
22#13124988C211yesmaximal, characteristic, complemented
23#13124976C211yesmaximal, characteristic, complemented
24#13124976C211yesmaximal, characteristic, complemented
25#13124947C211yesmaximal, characteristic, complemented
26#13124947C211yesmaximal, characteristic, complemented
27#13124936C211yesmaximal, characteristic, complemented
28C4×#88162C211yesmaximal, characteristic, complemented
29#13123638C211yesmaximal, characteristic, complemented
30C2×#11718372C211yesmaximal, characteristic, complemented
31C13×#2970C211yesmaximal, characteristic, complemented
32C4×C13×#41C2211yescharacteristic
33#11719534—21no—
34#11719533—21no—
35C2×#88162C2211yescharacteristic
36C2×#88158C2211yescharacteristic
37C22×D104C2211yescharacteristic
38#11719290C2211yescharacteristic, complemented
39#11719289C2211yescharacteristic, complemented
40#11719286—21no—
41#11719285—21no—
42#11719284C2211yescharacteristic, complemented
43#11719284C2211yescharacteristic, complemented
44#11719270C2211yescharacteristic
45#11719270C2211yescharacteristic, complemented
46#11719268C2211yescharacteristic, complemented
47#11719263—21no—
48#11719261—21no—
49#11719261—21no—
50#11719256C2211yescharacteristic, complemented
51#11719255C2211yescharacteristic
52#11719255C2211yescharacteristic
53#11719255C2211yescharacteristic, complemented
54#11719255C2211yescharacteristic, complemented
55D4×D52C2211yescharacteristic
56#11719252—21no—
57#11719252—21no—
58C4×D4×D13—21no—
59#11719248C2211yescharacteristic
60#11719246C2211yescharacteristic
61#11719246C2211yescharacteristic, complemented
62#11719235—21no—
63#11719233—21no—
64#11719233—21no—
65#11719232—21no—
66#11719232—21no—
67D13×#117—21no—
68#11719184C2211yescharacteristic
69#11719184C2211yescharacteristic, complemented
70#11719184C2211yescharacteristic, complemented
71#11719184C2211yescharacteristic, complemented
72#11719182C2211yescharacteristic, complemented
73C4×#6127C2211yescharacteristic, complemented
74C4×#6127C2211yescharacteristic, complemented
75C4×#6127C2211yescharacteristic, complemented
76C2×C4×D52C2211yescharacteristic
77C2×C4×D52C2211yescharacteristic, complemented
78C2×C4×D52C2211yescharacteristic, complemented
79#11719175C2211yescharacteristic, complemented
80C13×#446C2211yescharacteristic, complemented
81C13×#446C2211yescharacteristic, complemented
82C13×#435C2211yescharacteristic
83C13×#435C2211yescharacteristic
84C13×#435C2211yescharacteristic, complemented
85C13×#435C2211yescharacteristic, complemented
86C8×D4×C13C2211yescharacteristic, complemented
87C8×D4×C13C2211yescharacteristic, complemented
88C13×#432C2211yescharacteristic, complemented
89C13×#432C2211yescharacteristic, complemented
90C13×#432C2211yescharacteristic, complemented
91C4×C13×M16C2211yescharacteristic, complemented
92C2×C13×#97C2211yescharacteristic, complemented
93C2×C13×#97C2211yescharacteristic, complemented
94#11718798C2211yescharacteristic, complemented
95#11718796C2211yescharacteristic
96#11718795C2211yescharacteristic, complemented
97#11718795C2211yescharacteristic, complemented
98#11718794C2211yescharacteristic, complemented
99#11718792C2211yescharacteristic, complemented
100#11718782C2211yescharacteristic, complemented
101#11718777C2211yescharacteristic, complemented
102#11718777C2211yescharacteristic, complemented
103#11718776C2211yescharacteristic, complemented
104#11718776C2211yescharacteristic, complemented
105#11718775C2211yescharacteristic
106#11718775C2211yescharacteristic
107#11718775C2211yescharacteristic, complemented
108#11718775C2211yescharacteristic, complemented
109#11718774C2211yescharacteristic, complemented
110#11718774C2211yescharacteristic, complemented
111C2×#88061C2211yescharacteristic
112C2×#88061C2211yescharacteristic, complemented
113#11718767C2211yescharacteristic, complemented
114C2×#88057C2211yescharacteristic, complemented
115#11718512C2211yescharacteristic, complemented
116#11718509C2211yescharacteristic, complemented
117#11718508C2211yescharacteristic, complemented
118#11718508C2211yescharacteristic, complemented
119#11718508C2211yescharacteristic, complemented
120#11718508C2211yescharacteristic, complemented
121#11718508C2211yescharacteristic, complemented
122#11718508C2211yescharacteristic, complemented
123#11718507C2211yescharacteristic, complemented
124#11718507C2211yescharacteristic, complemented
125#11718507C2211yescharacteristic, complemented
126#11718506C2211yescharacteristic, complemented
127#11718506C2211yescharacteristic, complemented
128#11718505C2211yescharacteristic
129#11718505C2211yescharacteristic
130#11718505C2211yescharacteristic, complemented
131#11718505C2211yescharacteristic, complemented
132#11718505C2211yescharacteristic, complemented
133#11718505C2211yescharacteristic, complemented
134#11718504C2211yescharacteristic
135#11718502C2211yescharacteristic, complemented
136#11718502C2211yescharacteristic, complemented
137#11718490C2211yescharacteristic, complemented
138#11718490C2211yescharacteristic, complemented
139#11718398C2211yescharacteristic, complemented
140#11718398C2211yescharacteristic, complemented
141#11718398C2211yescharacteristic, complemented
142#11718398C2211yescharacteristic, complemented
143#11718397C2211yescharacteristic
144#11718397C2211yescharacteristic, complemented
145#11718395C2211yescharacteristic
146#11718395C2211yescharacteristic
147#11718395C2211yescharacteristic, complemented
148#11718395C2211yescharacteristic, complemented
149#11718394C2211yescharacteristic, complemented
150#11718394C2211yescharacteristic, complemented
151#11718393C2211yescharacteristic
152#11718393C2211yescharacteristic
153#11718392C2211yescharacteristic
154#11718392C2211yescharacteristic
155#11718392C2211yescharacteristic, complemented
156#11718392C2211yescharacteristic, complemented
157#11718384C2211yescharacteristic, complemented
158#11718384C2211yescharacteristic, complemented
159#11718383C2211yescharacteristic, complemented
160#11718383C2211yescharacteristic, complemented
161#11718382C2211yescharacteristic, complemented
162#11718382C2211yescharacteristic, complemented
163#11718377C2211yescharacteristic, complemented
164#11718377C2211yescharacteristic, complemented
165#11718377C2211yescharacteristic, complemented
166#11718376C2211yescharacteristic, complemented
167#11718375C2211yescharacteristic, complemented
168#11718375C2211yescharacteristic, complemented
169#11718374C2211yescharacteristic, complemented
170#11718373C2211yescharacteristic
171#11718372C2211yescharacteristic
172#11718372C2211yescharacteristic
173#11718372C2211yescharacteristic
174#11718372C2211yescharacteristic
175#11718372C2211yescharacteristic
176#11718372C2211yescharacteristic, complemented
177#11718372C2211yescharacteristic, complemented
178#11718372C2211yescharacteristic, complemented
179#11718372C2211yescharacteristic, complemented
180#11718372C2211yescharacteristic, complemented
181#11718372C2211yescharacteristic, complemented
182#11718371C2211yescharacteristic, complemented
183#11718371C2211yescharacteristic, complemented
184#11718371C2211yescharacteristic, complemented
185#11718371C2211yescharacteristic, complemented
186#11718371C2211yescharacteristic, complemented
187#11718371C2211yescharacteristic, complemented
188#11718371C2211yescharacteristic, complemented
189#11718371C2211yescharacteristic, complemented
190#11718371C2211yescharacteristic, complemented
191#11718371C2211yescharacteristic, complemented
192#11718364C2211yescharacteristic, complemented
193#11718363C2211yescharacteristic, complemented
194#11718363C2211yescharacteristic, complemented
195#11718358C2211yescharacteristic, complemented
196#11718358C2211yescharacteristic, complemented
197#11718357C2211yescharacteristic, complemented
198C4×D104C2211yescharacteristic
199C4×D104C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic, complemented
201C4×#6095C2211yescharacteristic, complemented
202#11718344C2211yescharacteristic, complemented
203C2×C13×#41D411yescharacteristic
204C2×D4×D13—21no—
205C2×#6127—21no—
206C2×#6127C2311yescharacteristic
207C2×#6127C2311yescharacteristic
208C2×#6127C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×C4×D13—21no—
213C22×C4×D13—21no—
214C22×C4×D13—21no—
215C2×C13×M16C2311yescharacteristic
216C2×C13×M16C2311yescharacteristic
217C22×C8×C13C2311yescharacteristic
218C22×C8×C13C2311yescharacteristic
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#88200—21no—
239#88193—21no—
240#88193—21no—
241#88192—21no—
242#88192—21no—
243#88191—21no—
244#88191—21no—
245#88191—21no—
246#88191—21no—
247#88189—21no—
248#88189—21no—
249D4×Dic13—21no—
250#88184—21no—
251#88184C2311yescharacteristic
252#88184C2311yescharacteristic
253#88184C2311yescharacteristic
254#88184C2311yescharacteristic
255#88184C2311yescharacteristic
256#88184C2311yescharacteristic
257#88183—21no—
258#88183—21no—
259#88183—21no—
260#88183—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—
268C4×C22⋊D13—21no—
269C4×C22⋊D13—21no—
270C4×C22⋊D13—21no—
271C2×#6103—21no—
272C2×#6103—21no—
273C2×#6103—21no—
274#88180—21no—
275#88180C2311yescharacteristic
276#88180C2311yescharacteristic
277#88180C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281#88178—21no—
282#88178C2311yescharacteristic
283#88178C2311yescharacteristic
284#88178C2311yescharacteristic
285#88178C2311yescharacteristic
286#88178C2311yescharacteristic
287#88178C2311yescharacteristic
288#88162—24no—
289C2×Dic52C2311yescharacteristic
290C2×Dic52C2311yescharacteristic
291#88158—24no—
292C2×D104—24no—
293C2×D104C2311yescharacteristic
294C2×D104C2311yescharacteristic
295C2×D104C2311yescharacteristic
296C2×D104C2311yescharacteristic
297C2×D104C2311yescharacteristic
298C2×D104C2311yescharacteristic
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#88150—21no—
312#88150—21no—
313#88150—21no—
314#88150—21no—
315#88149—21no—
316#88148—21no—
317#88148—21no—
318#88148—21no—
319#88148—21no—
320#88148—21no—
321#88148—21no—
322#88147—21no—
323#88146—21no—
324#88146—21no—
325C4⋊C4×D13—21no—
326C4⋊C4×D13—21no—
327C4⋊C4×D13—21no—
328#88144—21no—
329#88143—21no—
330#88143—21no—
331#88139—21no—
332#88139—21no—
333#88138—21no—
334#88138—21no—
335#88138—21no—
336#88138—21no—
337#88137—21no—
338#88137—21no—
339#88137—21no—
340#88137—21no—
341#88136—21no—
342#88136—21no—
343#88135—21no—
344#88135—21no—
345C22⋊C4×D13—21no—
346C22⋊C4×D13—21no—
347C22⋊C4×D13—21no—
348C22⋊C4×D13—21no—
349#88133—21no—
350#88133—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×D52—21no—
371C4×D52—21no—
372C4×D52C2311yescharacteristic
373C4×D52C2311yescharacteristic
374C4×D52C2311yescharacteristic
375C4×D52C2311yescharacteristic
376C4×D52C2311yescharacteristic
377C4×D52C2311yescharacteristic
378C4×D52C2311yescharacteristic
379C4×D52C2311yescharacteristic
380C4×D52C2311yescharacteristic
381C4×D52C2311yescharacteristic
382C4×D52C2311yescharacteristic
383C4×D52C2311yescharacteristic
384C4×D52C2311yescharacteristic
385C4×D52C2311yescharacteristic
386#88126—21no—
387#88126—21no—
388#88126—21no—
389#88126—21no—
390#88126—21no—
391#88126—21no—
392#88126—21no—
393C42×D13—21no—
394C42×D13—21no—
395C42×D13—21no—
396#88124—21no—
397#88124C2311yescharacteristic
398#88124C2311yescharacteristic
399#88124C2311yescharacteristic
400#88124C2311yescharacteristic
401#88123C2311yescharacteristic
402#88123C2311yescharacteristic
403#88123C2311yescharacteristic
404C4×Dic26—21no—
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
427C13×#97C2311yescharacteristic
428C13×#97C2311yescharacteristic
429C13×#97C2311yescharacteristic
430C13×#97C2311yescharacteristic
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#88061C2311yescharacteristic
450#88061C2311yescharacteristic
451#88061C2311yescharacteristic
452#88061C2311yescharacteristic
453#88058C2311yescharacteristic
454#88058C2311yescharacteristic
455#88058C2311yescharacteristic
456#88058C2311yescharacteristic
457#88058C2311yescharacteristic
458#88058C2311yescharacteristic
459#88058C2311yescharacteristic
460#88058C2311yescharacteristic
461#88057C2311yescharacteristic
462#88057C2311yescharacteristic
463#88057C2311yescharacteristic
464#88057C2311yescharacteristic
465#88057C2311yescharacteristic
466#88057C2311yescharacteristic
467#88057C2311yescharacteristic
468#88057C2311yescharacteristic
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#61454—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13—21no—
484C23×D13—21no—
485C13×#41—42no—
486C2×Q8×C13C2×D411yescharacteristic
487C2×D4×C13C2×D411yescharacteristic
488C2×D4×C13C2×D411yescharacteristic
489C2×D4×C13C2×D411yescharacteristic
490C22×C4×C13C2×D411yescharacteristic
491C22×C4×C13C2×D411yescharacteristic
492C22×C4×C13C2×D411yescharacteristic
493C22×C4×C13C2×D411yescharacteristic
494C22×C4×C13C2×D411yescharacteristic
495C22×C4×C13C2×D411yescharacteristic
496C22×C4×C13C2411yescharacteristic
497C22×C4×C13C2411yescharacteristic
498C22×C4×C13C2411yescharacteristic
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—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C22×Dic13—21no—
509C22×Dic13—21no—
510C22×Dic13—21no—
511D4×D13—44no—
512#6127—22no—
513#6127—22no—
514#6127—22no—
515#6127—41no—
516#6127—41no—
517#6127—41no—
518#6127—82no—
519C2×D52—22no—
520C2×D52—22no—
521C2×D52—22no—
522C2×D52—21no—
523C2×D52—21no—
524C2×D52—21no—
525C2×D52—21no—
526C2×D52—21no—
527C2×D52—41no—
528C2×D52—41no—
529C2×D52—41no—
530C2×D52C2411yescharacteristic
531C2×D52C2411yescharacteristic
532C2×D52C2411yescharacteristic
533C2×D52C2411yescharacteristic
534C2×D52C2411yescharacteristic
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—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—21no—
548C2×C4×D13—21no—
549C2×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—21no—
552C2×C4×D13—44no—
553C2×C4×D13—82no—
554C2×C4×D13—82no—
555C2×Dic26—21no—
556C2×Dic26—21no—
557C2×Dic26C2411yescharacteristic
558C2×Dic26C2411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×M16—22no—
561C13×M16—41no—
562C2×C8×C13—22no—
563C2×C8×C13—22no—
564C2×C8×C13—41no—
565C2×C8×C13—41no—
566C2×C8×C13C2411yescharacteristic
567C2×C8×C13C2411yescharacteristic
568C2×C8×C13C2411yescharacteristic
569C2×C8×C13C2411yescharacteristic
570C2×C8×C13C2411yescharacteristic
571C2×C8×C13C2411yescharacteristic
572C2×C8×C13C2411yescharacteristic
573C2×C8×C13C2411yescharacteristic
574C13×C4⋊C4C2×D411yescharacteristic
575C13×C4⋊C4C2×D411yescharacteristic
576C13×C4⋊C4C2×D411yescharacteristic
577C13×C4⋊C4C2×D411yescharacteristic
578C13×C4⋊C4C2×D411yescharacteristic
579C13×C4⋊C4C2×D411yescharacteristic
580C13×C22⋊C4C2×D411yescharacteristic
581C13×C22⋊C4C2×D411yescharacteristic
582C13×C22⋊C4C2×D411yescharacteristic
583C13×C22⋊C4C2×D411yescharacteristic
584C13×C22⋊C4C2×D411yescharacteristic
585C13×C22⋊C4C2×D411yescharacteristic
586C42×C13C2×D411yescharacteristic
587C42×C13C2×D411yescharacteristic
588C42×C13C2×D411yescharacteristic
589C42×C13C2×D411yescharacteristic
590C42×C13C2×D411yescharacteristic
591C42×C13C2×D411yescharacteristic
592C42×C13C2411yescharacteristic
593C42×C13C2411yescharacteristic
594C42×C13C2411yescharacteristic
595C42×C13C2411yescharacteristic
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—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—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633C4⋊Dic13—21no—
634C4⋊Dic13—21no—
635C4⋊Dic13—21no—
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13—21no—
639C4⋊Dic13—21no—
640C4⋊Dic13C2411yescharacteristic
641C4⋊Dic13C2411yescharacteristic
642C4⋊Dic13C2411yescharacteristic
643C4⋊Dic13C2411yescharacteristic
644C4⋊Dic13C2411yescharacteristic
645C4⋊Dic13C2411yescharacteristic
646C4⋊Dic13C2411yescharacteristic
647C4⋊Dic13C2411yescharacteristic
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—
665#6101—21no—
666#6101—21no—
667#6101—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—41no—
679D104—22no—
680D104—22no—
681D104—22no—
682D104—22no—
683D104—41no—
684D104#4114yescomplemented
685#6095—22no—
686#6095—22no—
687#6095—22no—
688#6095—22no—
689#6095—41no—
690#6095—41no—
691#6095—41no—
692#6095—41no—
693#3481—131no—
694#3475—131no—
695#3401—131no—
696#3389—131no—
697#3376—131no—
698#3370—131no—
699#3347—131no—
700#3344—131no—
701#3337—131no—
702#3319—131no—
703#3314—131no—
704#3310—131no—
705#3307—131no—
706#3297—131no—
707#3296—131no—
708#3280—131no—
709#3267—131no—
710#3264—131no—
711#3183—131no—
712#3181—131no—
713#3180—131no—
714#3115—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3110—131no—
720#2970D1311yescharacteristic, complemented
721C4×AGL(1,ℤ/8)—131no—
722#2943—131no—
723C2×#442—131no—
724C23×C13C22×D411yescharacteristic
725C23×C13C22×D411yescharacteristic
726C23×C13C22×D411yescharacteristic
727C22×D13—21no—
728C22×D13—21no—
729C22×D13—21no—
730C22×D13—21no—
731C22×D13—21no—
732C22×D13—42no—
733C22×D13—42no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—42no—
737C22×D13—42no—
738C22×D13—81no—
739C22×D13—81no—
740C22×D13—81no—
741Q8×C13—41no—
742D4×C13—22no—
743D4×C13—22no—
744D4×C13—41no—
745C2×C4×C13—22no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—41no—
753C2×C4×C13—41no—
754C2×C4×C13—41no—
755C2×C4×C13—41no—
756C2×C4×C13—41no—
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×C13C22×D411yescharacteristic
765C2×C4×C13C22×D411yescharacteristic
766C2×C4×C13C22×D411yescharacteristic
767C2×C4×C13C22×D411yescharacteristic
768C2×C4×C13C2511yescharacteristic
769C22⋊D13—42no—
770C22⋊D13—42no—
771C22⋊D13—42no—
772C22⋊D13—42no—
773C22⋊D13—42no—
774C22⋊D13—81no—
775C22⋊D13—81no—
776C22⋊D13—81no—
777C22⋊D13—81no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—21no—
789C2×Dic13—42no—
790C2×Dic13—81no—
791C2×Dic13—81no—
792D52—21no—
793D52—21no—
794D52—21no—
795D52—21no—
796D52—21no—
797D52—21no—
798D52—21no—
799D52—21no—
800D52—42no—
801D52—42no—
802D52—42no—
803D52—42no—
804D52—81no—
805D52C2×#4112yes—
806D52C2×#4112yes—
807C4×D13—42no—
808C4×D13—42no—
809C4×D13—42no—
810C4×D13—42no—
811C4×D13—42no—
812C4×D13—42no—
813C4×D13—42no—
814C4×D13—42no—
815C4×D13—42no—
816C4×D13—42no—
817C4×D13—42no—
818C4×D13—81no—
819C4×D13—81no—
820C4×D13—81no—
821C4×D13—81no—
822C4×D13—81no—
823C4×D13—81no—
824Dic26—21no—
825Dic26—21no—
826Dic26—21no—
827Dic26—21no—
828Dic26—21no—
829Dic26—21no—
830Dic26—81no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13—21no—
836C8×C13—21no—
837C8×C13—21no—
838C8×C13—21no—
839C8×C13C2×#4112yes—
840C2×AGL(1,ℤ/8)—131no—
841C2×#135—131no—
842C22×D8—131no—
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554—131no—
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—131no—
864#546—131no—
865#546—261no—
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41C2×D1311yescharacteristic
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—261no—
887C2×#117—261no—
888#501—131no—
889#501—131no—
890#499—131no—
891#497—131no—
892#496—131no—
893#495—131no—
894#491—131no—
895#490—131no—
896#489—131no—
897#489—131no—
898#488—131no—
899#488—131no—
900#485—131no—
901#485—131no—
902#484—131no—
903#484—131no—
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#482—131no—
909#482—131no—
910#480—131no—
911#480—131no—
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#475—131no—
921#474—131no—
922#474—131no—
923#474—131no—
924#470—131no—
925#469—131no—
926#468—131no—
927#468—131no—
928#467—131no—
929#467—131no—
930#466—131no—
931#466—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463—131no—
944#461—131no—
945#461—131no—
946#460—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#450—131no—
951#450—131no—
952#450—131no—
953#450—131no—
954#449—131no—
955#449—131no—
956#449—131no—
957#449—131no—
958#447—131no—
959#447—131no—
960#446C2×D1311yescharacteristic, complemented
961#446C2×D1311yescharacteristic, complemented
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#442—131no—
969#442—131no—
970#442—131no—
971#442—131no—
972#442—131no—
973#441—131no—
974#441—131no—
975#441—131no—
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440—131no—
986C4×SD16—131no—
987C4×SD16—131no—
988C4×D8—131no—
989C4×D8—131no—
990#435C2×D1311yescharacteristic
991#435C2×D1311yescharacteristic
992#435C2×D1311yescharacteristic, complemented
993#435C2×D1311yescharacteristic, complemented
994C8×D4C2×D1311yescharacteristic, complemented
995C8×D4C2×D1311yescharacteristic, complemented
996#432C2×D1311yescharacteristic, complemented
997#432C2×D1311yescharacteristic, complemented
998#432C2×D1311yescharacteristic, complemented
999#428—131no—
1000#427—131no—
1001C2×#106—131no—
1002#418—131no—
1003#417—131no—
1004#416—131no—
1005#416—131no—
1006C2×#102—131no—
1007C2×#102—131no—
1008C4×M16C2×D1311yescharacteristic, complemented
1009C2×#97C2×D1311yescharacteristic, complemented
1010C2×#97C2×D1311yescharacteristic, complemented
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—21no—
1019C22×C13#57512yes—
1020C22×C13C23×D411yescharacteristic
1021C2×D13—22no—
1022C2×D13—22no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—84no—
1037C2×D13—84no—
1038C2×D13—84no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—21no—
1044C4×C13—21no—
1045C4×C13—21no—
1046C4×C13—21no—
1047C4×C13—21no—
1048C4×C13—21no—
1049C4×C13—21no—
1050C4×C13C22×#4111yescharacteristic
1051C4×C13#58511yescharacteristic
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13—41no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—131no—
1066C2×#41—261no—
1067C2×#41D5211yescharacteristic
1068C22×D4—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—261no—
1072C23×C4—261no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—264no—
1076#135—264no—
1077C2×Q16—131no—
1078C2×Q16—131no—
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16—131no—
1086C2×SD16—131no—
1087C2×D8—131no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—131no—
1092C2×D8—131no—
1093C2×D8—264no—
1094C2×M16C22×D1311yescharacteristic
1095C2×M16C22×D1311yescharacteristic
1096C22×C8C22×D1311yescharacteristic
1097C22×C8C22×D1311yescharacteristic
1098C22×C8C22×D1311yescharacteristic
1099C22×C8C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8—131no—
1103#127—131no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—131no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—261no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—131no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124—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—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—131no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—131no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8—261no—
1160C22⋊Q8—261no—
1161C22⋊Q8—261no—
1162#121—131no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121—261no—
1178#120—261no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—261no—
1191C4×Q8D5211yescharacteristic
1192C4×Q8C22×D1311yescharacteristic
1193C4×D4—131no—
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—131no—
1205C4×D4—131no—
1206C4×D4—131no—
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×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4D5211yescharacteristic
1229C4×D4D5211yescharacteristic
1230C4×D4D5211yescharacteristic
1231C4×D4C22×D1311yescharacteristic
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—131no—
1235#117—131no—
1236#117—131no—
1237#117—261no—
1238#117—261no—
1239#117—261no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117D5211yescharacteristic
1250#117D5211yescharacteristic
1251#117D5211yescharacteristic
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—131no—
1254C2×C4⋊C4—131no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4—261no—
1257C2×C4⋊C4—261no—
1258C2×C22⋊C4—261no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—261no—
1266C2×C42—261no—
1267C2×C42—261no—
1268C2×C42C22×D1311yescharacteristic
1269C2×C42C22×D1311yescharacteristic
1270C2×C42C22×D1311yescharacteristic
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107—131no—
1278#107—131no—
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106—131no—
1286#106—131no—
1287C4⋊C8C22×D1311yescharacteristic
1288C4⋊C8C22×D1311yescharacteristic
1289C4⋊C8C22×D1311yescharacteristic
1290C4⋊C8C22×D1311yescharacteristic
1291C4⋊C8C22×D1311yescharacteristic
1292C4⋊C8C22×D1311yescharacteristic
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#103—131no—
1302#103—131no—
1303#103—131no—
1304#103—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—
1317#102—131no—
1318#102—131no—
1319#102—131no—
1320#102—131no—
1321#102—131no—
1322#102—131no—
1323#102—131no—
1324#102—131no—
1325C22⋊C8C22×D1311yescharacteristic
1326C22⋊C8C22×D1311yescharacteristic
1327C22⋊C8C22×D1311yescharacteristic
1328C22⋊C8C22×D1311yescharacteristic
1329C22⋊C8C22×D1311yescharacteristic
1330C22⋊C8C22×D1311yescharacteristic
1331#97C22×D1311yescharacteristic
1332#97C22×D1311yescharacteristic
1333#97C22×D1311yescharacteristic
1334#97C22×D1311yescharacteristic
1335#97C22×D1311yescharacteristic
1336#97C22×D1311yescharacteristic
1337#97C22×D1311yescharacteristic
1338#97C22×D1311yescharacteristic
1339C4×C8C22×D1311yescharacteristic
1340C4×C8C22×D1311yescharacteristic
1341C2×C13—22no—
1342C2×C13—41no—
1343C2×C13—41no—
1344C2×C13D4×#4111yescharacteristic
1345C2×C13C2×#57511yescharacteristic
1346C2×C13#358511yescharacteristic
1347D13—42no—
1348D13—42no—
1349D13—81no—
1350D13—81no—
1351D13—81no—
1352C24—261no—
1353C24—261no—
1354C24—261no—
1355#41—42no—
1356#41—262no—
1357#41—262no—
1358#41—262no—
1359#41—521no—
1360#41—521no—
1361#41—521no—
1362#41—1042no—
1363C2×Q8—131no—
1364C2×Q8—131no—
1365C2×Q8—131no—
1366C2×Q8—261no—
1367C2×Q8—261no—
1368C2×Q8C2×D5211yescharacteristic
1369C2×D4—131no—
1370C2×D4—131no—
1371C2×D4—131no—
1372C2×D4—131no—
1373C2×D4—131no—
1374C2×D4—262no—
1375C2×D4—262no—
1376C2×D4—262no—
1377C2×D4—261no—
1378C2×D4—261no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—261no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—521no—
1392C2×D4—521no—
1393C2×D4—521no—
1394C2×D4—524no—
1395C2×D4C2×D5211yescharacteristic
1396C2×D4C2×D5211yescharacteristic
1397C2×D4C2×D5211yescharacteristic
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—261no—
1408C22×C4—261no—
1409C22×C4—261no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—524no—
1419C22×C4—1042no—
1420C22×C4—1042no—
1421C22×C4C2×D5211yescharacteristic
1422C22×C4C2×D5211yescharacteristic
1423C22×C4C2×D5211yescharacteristic
1424C22×C4C2×D5211yescharacteristic
1425C22×C4C2×D5211yescharacteristic
1426C22×C4C2×D5211yescharacteristic
1427C22×C4C23×D1311yescharacteristic
1428C22×C4C23×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—262no—
1431Q16—521no—
1432SD16—262no—
1433SD16—262no—
1434SD16—262no—
1435SD16—262no—
1436SD16—521no—
1437SD16—521no—
1438SD16—521no—
1439SD16—521no—
1440D8—134no—
1441D8—262no—
1442D8—262no—
1443D8—262no—
1444D8—262no—
1445D8—521no—
1446M16—22no—
1447M16—41no—
1448C2×C8—22no—
1449C2×C8—22no—
1450C2×C8—41no—
1451C2×C8—41no—
1452C2×C8C23×D1311yescharacteristic
1453C2×C8C23×D1311yescharacteristic
1454C2×C8C23×D1311yescharacteristic
1455C2×C8C23×D1311yescharacteristic
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—131no—
1461C4⋊C4—131no—
1462C4⋊C4—131no—
1463C4⋊C4—131no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
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⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4—261no—
1495C4⋊C4C2×D5211yescharacteristic
1496C4⋊C4C2×D5211yescharacteristic
1497C4⋊C4C2×D5211yescharacteristic
1498C4⋊C4C2×D5211yescharacteristic
1499C4⋊C4C2×D5211yescharacteristic
1500C4⋊C4C2×D5211yescharacteristic
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⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4C2×D5211yescharacteristic
1539C22⋊C4C2×D5211yescharacteristic
1540C22⋊C4C2×D5211yescharacteristic
1541C22⋊C4C2×D5211yescharacteristic
1542C22⋊C4C2×D5211yescharacteristic
1543C22⋊C4C2×D5211yescharacteristic
1544C42—261no—
1545C42—261no—
1546C42—261no—
1547C42—261no—
1548C42—261no—
1549C42—261no—
1550C42—261no—
1551C42—261no—
1552C42—261no—
1553C42C2×D5211yescharacteristic
1554C42C2×D5211yescharacteristic
1555C42C2×D5211yescharacteristic
1556C42C2×D5211yescharacteristic
1557C42C2×D5211yescharacteristic
1558C42C2×D5211yescharacteristic
1559C42C23×D1311yescharacteristic
1560C42C23×D1311yescharacteristic
1561C42C23×D1311yescharacteristic
1562C42C23×D1311yescharacteristic
1563C13#6145411yescharacteristic, complemented, Sylow
1564C23—261no—
1565C23—261no—
1566C23—261no—
1567C23—261no—
1568C23—261no—
1569C23—522no—
1570C23—522no—
1571C23—522no—
1572C23—522no—
1573C23—522no—
1574C23—522no—
1575C23—1041no—
1576C23—1041no—
1577C23—1041no—
1578C23C22×D5211yescharacteristic
1579C23C22×D5211yescharacteristic
1580C23C22×D5211yescharacteristic
1581Q8—41no—
1582Q8—261no—
1583Q8—261no—
1584Q8—261no—
1585Q8—261no—
1586Q8—261no—
1587Q8—261no—
1588Q8—1041no—
1589Q8—1041no—
1590D4—22no—
1591D4—22no—
1592D4—41no—
1593D4—132no—
1594D4—132no—
1595D4—261no—
1596D4—261no—
1597D4—261no—
1598D4—261no—
1599D4—261no—
1600D4—261no—
1601D4—261no—
1602D4—261no—
1603D4—522no—
1604D4—522no—
1605D4—522no—
1606D4—522no—
1607D4—522no—
1608D4—522no—
1609D4—522no—
1610D4—522no—
1611D4—522no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4—1041no—
1616D4—1041no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—261no—
1630C2×C4—261no—
1631C2×C4—261no—
1632C2×C4—261no—
1633C2×C4—261no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—522no—
1641C2×C4—522no—
1642C2×C4—522no—
1643C2×C4—522no—
1644C2×C4—522no—
1645C2×C4—522no—
1646C2×C4—522no—
1647C2×C4—522no—
1648C2×C4—522no—
1649C2×C4—522no—
1650C2×C4—522no—
1651C2×C4—522no—
1652C2×C4—1041no—
1653C2×C4—1041no—
1654C2×C4—1041no—
1655C2×C4—1041no—
1656C2×C4—1041no—
1657C2×C4—1041no—
1658C2×C4—1041no—
1659C2×C4—1041no—
1660C2×C4C22×D5211yescharacteristic
1661C2×C4C22×D5211yescharacteristic
1662C2×C4C22×D5211yescharacteristic
1663C2×C4C22×D5211yescharacteristic
1664C2×C4C22×D5211yescharacteristic
1665C2×C4C22×D5211yescharacteristic
1666C2×C4C22×D5211yescharacteristic
1667C2×C4C22×D5211yescharacteristic
1668C2×C4C22×D5211yescharacteristic
1669C2×C4C22×D5211yescharacteristic
1670C2×C4C22×D5211yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8#41×D1312yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—262no—
1689C22—262no—
1690C22—521no—
1691C22—521no—
1692C22—521no—
1693C22—521no—
1694C22—521no—
1695C22—521no—
1696C22—521no—
1697C22—521no—
1698C22—521no—
1699C22—521no—
1700C22—521no—
1701C22—521no—
1702C22—521no—
1703C22—1044no—
1704C22—1044no—
1705C22—1044no—
1706C22#1171945312yes—
1707C22C23×D5211yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—521no—
1720C4—521no—
1721C4—521no—
1722C4—521no—
1723C4—521no—
1724C4—521no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C2×#41×D1311yescharacteristic
1731C4#1171964811yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—522no—
1736C2—522no—
1737C2—1041no—
1738C2—1041no—
1739C2—1041no—
1740C2#41×D5211yescharacteristic
1741C2C2×#1171945311yescharacteristic
1742C2#1312961711yescharacteristic
subgroupG/H
centerC22C23×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#2970C2
socleC22×C13C23×D4
hypercenter#2970D13
hypocenterC13#61454
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2970

Complements

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

NH ≅ G/Ntype
1. #13128446C2semidirect
2. #13128400C2semidirect
3. #13127904C2semidirect
4. #13127796C2semidirect
5. #13127665C2semidirect
6. #13127591C2semidirect
7. #13127338C2semidirect
8. #13127293C2semidirect
9. #13127217C2semidirect
10. #13126994C2semidirect
11. #13126919C2semidirect
12. #13126859C2semidirect
13. #13126814C2semidirect
14. #13126688C2semidirect
15. #13126673C2semidirect
16. #13126523C2semidirect
17. #13126366C2semidirect
18. #13126321C2semidirect
19. #13125565C2semidirect
20. #13125545C2semidirect
21. #13125534C2semidirect
22. #13124988C2semidirect
23. #13124976C2semidirect
24. #13124976C2semidirect
25. #13124947C2semidirect
26. #13124947C2semidirect
27. #13124936C2semidirect
28. C4×#88162C2semidirect
29. #13123638C2semidirect
30. C2×#11718372C2semidirect
31. C13×#2970C2semidirect
38. #11719290C22semidirect
39. #11719289C22semidirect
42. #11719284C22semidirect
43. #11719284C22semidirect
45. #11719270C22semidirect
46. #11719268C22semidirect
50. #11719256C22semidirect
53. #11719255C22semidirect
54. #11719255C22semidirect
61. #11719246C22semidirect
69. #11719184C22semidirect
70. #11719184C22semidirect
71. #11719184C22semidirect
72. #11719182C22semidirect
73. C4×#6127C22semidirect
74. C4×#6127C22semidirect
75. C4×#6127C22semidirect
77. C2×C4×D52C22semidirect
78. C2×C4×D52C22semidirect
79. #11719175C22semidirect
80. C13×#446C22semidirect
81. C13×#446C22semidirect
84. C13×#435C22semidirect
85. C13×#435C22semidirect
86. C8×D4×C13C22semidirect
87. C8×D4×C13C22semidirect
88. C13×#432C22semidirect
89. C13×#432C22semidirect
90. C13×#432C22semidirect
91. C4×C13×M16C22semidirect
92. C2×C13×#97C22semidirect
93. C2×C13×#97C22semidirect
94. #11718798C22semidirect
96. #11718795C22semidirect
97. #11718795C22semidirect
98. #11718794C22semidirect
99. #11718792C22semidirect
100. #11718782C22semidirect
101. #11718777C22semidirect
102. #11718777C22semidirect
103. #11718776C22semidirect
104. #11718776C22semidirect
107. #11718775C22semidirect
108. #11718775C22semidirect
109. #11718774C22semidirect
110. #11718774C22semidirect
112. C2×#88061C22semidirect
113. #11718767C22semidirect
114. C2×#88057C22semidirect
115. #11718512C22semidirect
116. #11718509C22semidirect
117. #11718508C22semidirect
118. #11718508C22semidirect
119. #11718508C22semidirect
120. #11718508C22semidirect
121. #11718508C22semidirect
122. #11718508C22semidirect
123. #11718507C22semidirect
124. #11718507C22semidirect
125. #11718507C22semidirect
126. #11718506C22semidirect
127. #11718506C22semidirect
130. #11718505C22semidirect
131. #11718505C22semidirect
132. #11718505C22semidirect
133. #11718505C22semidirect
135. #11718502C22semidirect
136. #11718502C22semidirect
137. #11718490C22semidirect
138. #11718490C22semidirect
139. #11718398C22semidirect
140. #11718398C22semidirect
141. #11718398C22semidirect
142. #11718398C22semidirect
144. #11718397C22semidirect
147. #11718395C22semidirect
148. #11718395C22semidirect
149. #11718394C22semidirect
150. #11718394C22semidirect
155. #11718392C22semidirect
156. #11718392C22semidirect
157. #11718384C22semidirect
158. #11718384C22semidirect
159. #11718383C22semidirect
160. #11718383C22semidirect
161. #11718382C22semidirect
162. #11718382C22semidirect
163. #11718377C22semidirect
164. #11718377C22semidirect
165. #11718377C22semidirect
166. #11718376C22semidirect
167. #11718375C22semidirect
168. #11718375C22semidirect
169. #11718374C22semidirect
176. #11718372C22semidirect
177. #11718372C22semidirect
178. #11718372C22semidirect
179. #11718372C22semidirect
180. #11718372C22semidirect
181. #11718372C22semidirect
182. #11718371C22semidirect
183. #11718371C22semidirect
184. #11718371C22semidirect
185. #11718371C22semidirect
186. #11718371C22semidirect
187. #11718371C22semidirect
188. #11718371C22semidirect
189. #11718371C22semidirect
190. #11718371C22semidirect
191. #11718371C22semidirect
192. #11718364C22semidirect
193. #11718363C22semidirect
194. #11718363C22semidirect
195. #11718358C22semidirect
196. #11718358C22semidirect
197. #11718357C22semidirect
199. C4×D104C22semidirect
200. C4×#6095C22semidirect
201. C4×#6095C22semidirect
202. #11718344C22semidirect
684. D104#41semidirect
720. #2970D13semidirect
960. #446C2×D13semidirect
961. #446C2×D13semidirect
992. #435C2×D13semidirect
993. #435C2×D13semidirect
994. C8×D4C2×D13semidirect
995. C8×D4C2×D13semidirect
996. #432C2×D13semidirect
997. #432C2×D13semidirect
998. #432C2×D13semidirect
1008. C4×M16C2×D13semidirect
1009. C2×#97C2×D13semidirect
1010. C2×#97C2×D13semidirect
1563. C13#61454semidirect

Maximal subgroups

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

subgroupindex
#131284462
#131284002
#131279042
#131277962
#131276652
#131275912
#131273382
#131272932
#131272172
#131269942
#131269192
#131268592
#131268142
#131266882
#131266732
#131265232
#131263662
#131263212
#131255652
#131255452
#131255342
#131249882
#131249762
#131249472
#131249362
C4×#881622
#131236382
C2×#117183722
C13×#29702
#6145413