Finite Group Databasebeta

← #28250370

Subgroups — #28250370

Order 13568.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288862C211yesmaximal, characteristic
2#20283884C211yesmaximal, characteristic, complemented
3#20283880C211yesmaximal, characteristic, complemented
4#20283877C211yesmaximal, characteristic, complemented
5#20283869C211yesmaximal, characteristic, complemented
6#20283867C211yesmaximal, characteristic, complemented
7#20283863C211yesmaximal, characteristic, complemented
8#20283858C211yesmaximal, characteristic, complemented
9#20283858C211yesmaximal, characteristic, complemented
10#20283856C211yesmaximal, characteristic, complemented
11#20283853C211yesmaximal, characteristic, complemented
12#20283818C211yesmaximal, characteristic, complemented
13#20283815C211yesmaximal, characteristic, complemented
14#20283813C211yesmaximal, characteristic, complemented
15#20283808C211yesmaximal, characteristic, complemented
16#20283718C211yesmaximal, characteristic, complemented
17#20283713C211yesmaximal, characteristic, complemented
18#20283708C211yesmaximal, characteristic, complemented
19#20283708C211yesmaximal, characteristic, complemented
20#20283707C211yesmaximal, characteristic, complemented
21#20283707C211yesmaximal, characteristic, complemented
22#20283698C211yesmaximal, characteristic, complemented
23#20283695C211yesmaximal, characteristic, complemented
24#20283689C211yesmaximal, characteristic, complemented
25#20283688C211yesmaximal, characteristic, complemented
26#20283664C211yesmaximal, characteristic, complemented
27#20283663C211yesmaximal, characteristic, complemented
28#20283651C211yesmaximal, characteristic, complemented
29#20283651C211yesmaximal, characteristic, complemented
30#20283644C211yesmaximal, characteristic, complemented
31C53×#2985C211yesmaximal, characteristic, complemented
32C53⋊#564C411yescharacteristic
33#16811377C411yescharacteristic
34#16811377C411yescharacteristic
35#16811374C411yescharacteristic
36#16811374C411yescharacteristic
37#16811374C411yescharacteristic
38#16811374C411yescharacteristic
39#16811372C411yescharacteristic
40#16811372C411yescharacteristic
41#16811372C411yescharacteristic
42#16811372C411yescharacteristic
43#16811371C411yescharacteristic
44#16811369C411yescharacteristic
45#16811369C411yescharacteristic
46#16811369C411yescharacteristic
47#16811369C411yescharacteristic
48#16811177C2211yescharacteristic
49#16811177C2211yescharacteristic
50#16811177C2211yescharacteristic
51#16811177C2211yescharacteristic
52#16811160C2211yescharacteristic
53#16811160C2211yescharacteristic
54#16811160C2211yescharacteristic
55#16811160C2211yescharacteristic
56#16811157C2211yescharacteristic
57#16811157C2211yescharacteristic
58#16811151C2211yescharacteristic
59#16811151C2211yescharacteristic
60#16811151C2211yescharacteristic
61#16811151C2211yescharacteristic
62#16810754C2211yescharacteristic
63#16810754C2211yescharacteristic
64#16810754C2211yescharacteristic
65#16810754C2211yescharacteristic
66#16810754C2211yescharacteristic
67#16810754C2211yescharacteristic
68#16810753C2211yescharacteristic
69#16810753C2211yescharacteristic
70#16810752C2211yescharacteristic
71#16810752C2211yescharacteristic
72#16810752C2211yescharacteristic
73#16810752C2211yescharacteristic
74#16810752C2211yescharacteristic
75#16810752C2211yescharacteristic
76#16810751C2211yescharacteristic
77#16810751C2211yescharacteristic
78#16810751C2211yescharacteristic
79#16810751C2211yescharacteristic
80#16810751C2211yescharacteristic
81#16810751C2211yescharacteristic
82#16810750C2211yescharacteristic
83#16810750C2211yescharacteristic
84#16810750C2211yescharacteristic
85#16810750C2211yescharacteristic
86Q8×#88322C2211yescharacteristic
87Q8×#88322C2211yescharacteristic
88C8×Dic106C2211yescharacteristic
89C8×Dic106C2211yescharacteristic
90C8×Dic106C2211yescharacteristic
91C8×Dic106C2211yescharacteristic
92#16810747C2211yescharacteristic
93#16810747C2211yescharacteristic
94#16810702C2211yescharacteristic
95#16810702C2211yescharacteristic
96#16810702C2211yescharacteristic
97#16810702C2211yescharacteristic
98#16810700C2211yescharacteristic
99#16810700C2211yescharacteristic
100#16810698C2211yescharacteristic
101#16810698C2211yescharacteristic
102#16810698C2211yescharacteristic
103#16810698C2211yescharacteristic
104#16810697C2211yescharacteristic
105#16810697C2211yescharacteristic
106#16810697C2211yescharacteristic
107#16810697C2211yescharacteristic
108#16810696C2211yescharacteristic
109#16810696C2211yescharacteristic
110#16810696C2211yescharacteristic
111#16810696C2211yescharacteristic
112#16810696C2211yescharacteristic
113#16810696C2211yescharacteristic
114#16810693C2211yescharacteristic
115#16810693C2211yescharacteristic
116#16810693C2211yescharacteristic
117#16810693C2211yescharacteristic
118#16810693C2211yescharacteristic
119#16810693C2211yescharacteristic
120#16810691C2211yescharacteristic
121#16810691C2211yescharacteristic
122#16810691C2211yescharacteristic
123#16810691C2211yescharacteristic
124C8×D212C2211yescharacteristic
125C8×D212C2211yescharacteristic
126#16810688C2211yescharacteristic
127#16810688C2211yescharacteristic
128#16810688C2211yescharacteristic
129#16810688C2211yescharacteristic
130#16810686C2211yescharacteristic
131#16810686C2211yescharacteristic
132#16810686C2211yescharacteristic
133#16810686C2211yescharacteristic
134#16810685C2211yescharacteristic
135#16810685C2211yescharacteristic
136#16810685C2211yescharacteristic
137#16810685C2211yescharacteristic
138#16810683C2211yescharacteristic
139#16810683C2211yescharacteristic
140#16810683C2211yescharacteristic
141#16810683C2211yescharacteristic
142#16810683C2211yescharacteristic
143#16810683C2211yescharacteristic
144#16810683C2211yescharacteristic
145#16810683C2211yescharacteristic
146#16810682C2211yescharacteristic
147#16810682C2211yescharacteristic
148#16810682C2211yescharacteristic
149#16810682C2211yescharacteristic
150#16810679C2211yescharacteristic
151#16810678C2211yescharacteristic
152#16810678C2211yescharacteristic
153#16810675C2211yescharacteristic
154#16810675C2211yescharacteristic
155#16810675C2211yescharacteristic
156#16810674C2211yescharacteristic
157#16810674C2211yescharacteristic
158#16810650C2211yescharacteristic
159#16810650C2211yescharacteristic
160#16810648C2211yescharacteristic
161#16810648C2211yescharacteristic
162#16810648C2211yescharacteristic
163#16810648C2211yescharacteristic
164#16810648C2211yescharacteristic
165#16810648C2211yescharacteristic
166#16810648C2211yescharacteristic
167#16810648C2211yescharacteristic
168#16810645C2211yescharacteristic
169#16810645C2211yescharacteristic
170#16810645C2211yescharacteristic
171C2×C4⋊#88322C2211yescharacteristic
172C4⋊C8×D53C2211yescharacteristic
173#16810580C2211yescharacteristic
174#16810580C2211yescharacteristic
175#16810580C2211yescharacteristic
176#16810580C2211yescharacteristic
177#16810579C2211yescharacteristic
178#16810579C2211yescharacteristic
179#16810577C2211yescharacteristic
180#16810577C2211yescharacteristic
181#16810577C2211yescharacteristic
182#16810577C2211yescharacteristic
183C4×#11719917C2211yescharacteristic
184C4×#11719912C2211yescharacteristic
185#97×D53C2211yescharacteristic
186#97×D53C2211yescharacteristic
187C4×C8×D53C2211yescharacteristic
188C53×#533C2211yescharacteristic
189C53×#446C2211yescharacteristic
190C53×#446C2211yescharacteristic
191C53×#446C2211yescharacteristic
192C53×#446C2211yescharacteristic
193C53×#446C2211yescharacteristic
194C53×#446C2211yescharacteristic
195C8×Q8×C53C2211yescharacteristic
196C8×Q8×C53C2211yescharacteristic
197C53×#433C2211yescharacteristic
198C53×#433C2211yescharacteristic
199C53×#433C2211yescharacteristic
200C53×#433C2211yescharacteristic
201C53×#432C2211yescharacteristic
202C53×#431C2211yescharacteristic
203C2×#11719917C2311yescharacteristic
204C2×#11719917C2311yescharacteristic
205C2×#11719912C2311yescharacteristic
206C2×#11719912C2311yescharacteristic
207C2×#11719912C2311yescharacteristic
208C2×#11719912C2311yescharacteristic
209C2×#11719912C2311yescharacteristic
210C2×#11719912C2311yescharacteristic
211C2×#11719912C2311yescharacteristic
212C2×#11719912C2311yescharacteristic
213C22×#88322C2311yescharacteristic
214C22×#88322C2311yescharacteristic
215C2×C8×D53C2311yescharacteristic
216C2×C8×D53C2311yescharacteristic
217C2×C8×D53C2311yescharacteristic
218C2×C8×D53C2311yescharacteristic
219C2×C8×D53C2311yescharacteristic
220C2×C8×D53C2311yescharacteristic
221C2×C8×D53C2311yescharacteristic
222C2×C8×D53C2311yescharacteristic
223#13133216C2×C411yescharacteristic
224#13133216C2×C411yescharacteristic
225#13133216C2×C411yescharacteristic
226#13133216C2×C411yescharacteristic
227#13133215C2×C411yescharacteristic
228#13133215C2×C411yescharacteristic
229#13133215C2×C411yescharacteristic
230#13133215C2×C411yescharacteristic
231#13133212C2×C411yescharacteristic
232#13133212C2×C411yescharacteristic
233#13133212C2×C411yescharacteristic
234#13133212C2×C411yescharacteristic
235#13133212C2×C411yescharacteristic
236#13133212C2×C411yescharacteristic
237#13133212C2×C411yescharacteristic
238#13133212C2×C411yescharacteristic
239#13133212C2×C411yescharacteristic
240#13133212C2×C411yescharacteristic
241#13133212C2×C411yescharacteristic
242#13133212C2×C411yescharacteristic
243#13133211C2×C411yescharacteristic
244#13133211C2×C411yescharacteristic
245#13133211C2×C411yescharacteristic
246#13133211C2×C411yescharacteristic
247#13133210C2×C411yescharacteristic
248#13133210C2×C411yescharacteristic
249#13133210C2×C411yescharacteristic
250#13133210C2×C411yescharacteristic
251#13133209C2×C411yescharacteristic
252#13133209C2×C411yescharacteristic
253#13133208C2×C411yescharacteristic
254#13133208C2×C411yescharacteristic
255#13133208C2×C411yescharacteristic
256#13133208C2×C411yescharacteristic
257#13133207C2×C411yescharacteristic
258#13133207C2×C411yescharacteristic
259#13133207C2×C411yescharacteristic
260#13133207C2×C411yescharacteristic
261#13133207C2×C411yescharacteristic
262#13133207C2×C411yescharacteristic
263#13133207C2×C411yescharacteristic
264#13133207C2×C411yescharacteristic
265#13133207C2×C411yescharacteristic
266#13133207C2×C411yescharacteristic
267#13133207C2×C411yescharacteristic
268#13133207C2×C411yescharacteristic
269#13133206C2×C411yescharacteristic
270#13133206C2×C411yescharacteristic
271#13133206C2×C411yescharacteristic
272#13133206C2×C411yescharacteristic
273#13133205C2×C411yescharacteristic
274#13133205C2×C411yescharacteristic
275#13133203C2×C411yescharacteristic
276#13133203C2×C411yescharacteristic
277#13133203C2×C411yescharacteristic
278#13133203C2×C411yescharacteristic
279#13133202C2×C411yescharacteristic
280#13133202C2×C411yescharacteristic
281#13133202C2×C411yescharacteristic
282#13133202C2×C411yescharacteristic
283#13133202C2×C411yescharacteristic
284#13133202C2×C411yescharacteristic
285#13133202C2×C411yescharacteristic
286#13133202C2×C411yescharacteristic
287#13133202C2×C411yescharacteristic
288#13133202C2×C411yescharacteristic
289#13133202C2×C411yescharacteristic
290#13133202C2×C411yescharacteristic
291#13133200C2×C411yescharacteristic
292#13133200C2×C411yescharacteristic
293#13133200C2×C411yescharacteristic
294#13133200C2×C411yescharacteristic
295#13133199C2×C411yescharacteristic
296#13133199C2×C411yescharacteristic
297#13133199C2×C411yescharacteristic
298#13133199C2×C411yescharacteristic
299#13133197C2×C411yescharacteristic
300#13133197C2×C411yescharacteristic
301#13133197C2×C411yescharacteristic
302#13133197C2×C411yescharacteristic
303#13133196C2×C411yescharacteristic
304#13133196C2×C411yescharacteristic
305#13133195C2×C411yescharacteristic
306#13133195C2×C411yescharacteristic
307#13133195C2×C411yescharacteristic
308#13133195C2×C411yescharacteristic
309#13133195C2×C411yescharacteristic
310#13133195C2×C411yescharacteristic
311#13133195C2×C411yescharacteristic
312#13133195C2×C411yescharacteristic
313#13133195C2×C411yescharacteristic
314#13133195C2×C411yescharacteristic
315#13133195C2×C411yescharacteristic
316#13133195C2×C411yescharacteristic
317#13133193C2×C411yescharacteristic
318#13133193C2×C411yescharacteristic
319#13133193C2×C411yescharacteristic
320#13133193C2×C411yescharacteristic
321#13133193C2×C411yescharacteristic
322#13133193C2×C411yescharacteristic
323#13133193C2×C411yescharacteristic
324#13133193C2×C411yescharacteristic
325#13133192C2×C411yescharacteristic
326#13133192C2×C411yescharacteristic
327#13133192C2×C411yescharacteristic
328#13133192C2×C411yescharacteristic
329#13133191C2×C411yescharacteristic
330#13133191C2×C411yescharacteristic
331#13133190C2×C411yescharacteristic
332#13133190C2×C411yescharacteristic
333#13133190C2×C411yescharacteristic
334#13133190C2×C411yescharacteristic
335C4×Dic106C2311yescharacteristic
336C4×Dic106C2311yescharacteristic
337C4×Dic106C2311yescharacteristic
338C4×Dic106C2311yescharacteristic
339C4×Dic106C2311yescharacteristic
340C4×Dic106C2311yescharacteristic
341C4×D212C2311yescharacteristic
342C4×D212C2311yescharacteristic
343C4×D212C2311yescharacteristic
344C4×D212C2311yescharacteristic
345C4×D212C2311yescharacteristic
346C4×D212C2311yescharacteristic
347C4×C22⋊D53C2311yescharacteristic
348C4×C22⋊D53C2311yescharacteristic
349C4×C22⋊D53C2311yescharacteristic
350C4×C22⋊D53C2311yescharacteristic
351#13133174C2311yescharacteristic
352#13133174C2311yescharacteristic
353#13133174C2311yescharacteristic
354#13133174C2311yescharacteristic
355#13133174C2311yescharacteristic
356#13133174C2311yescharacteristic
357#13133174C2311yescharacteristic
358#13133174C2311yescharacteristic
359C42×D53C2311yescharacteristic
360C42×D53C2311yescharacteristic
361C42×D53C2311yescharacteristic
362C42×D53C2311yescharacteristic
363C4⋊#88322C2311yescharacteristic
364C4⋊#88322C2311yescharacteristic
365C4⋊#88322C2311yescharacteristic
366C4⋊#88322C2311yescharacteristic
367C4⋊#88322C2311yescharacteristic
368C4⋊#88322C2311yescharacteristic
369C4⋊#88322C2311yescharacteristic
370C4⋊#88322C2311yescharacteristic
371C4⋊#88322C2311yescharacteristic
372C4⋊#88322C2311yescharacteristic
373C4⋊#88322C2311yescharacteristic
374C4⋊#88322C2311yescharacteristic
375#13133146C2311yescharacteristic
376#13133146C2311yescharacteristic
377#13133146C2311yescharacteristic
378#13133146C2311yescharacteristic
379#13133146C2311yescharacteristic
380#13133146C2311yescharacteristic
381#13133146C2311yescharacteristic
382#13133146C2311yescharacteristic
383#13133146C2311yescharacteristic
384#13133146C2311yescharacteristic
385#13133146C2311yescharacteristic
386#13133146C2311yescharacteristic
387#13133146C2311yescharacteristic
388#13133146C2311yescharacteristic
389#13133146C2311yescharacteristic
390#13133146C2311yescharacteristic
391#13133129C2311yescharacteristic
392#13133129C2311yescharacteristic
393#13133129C2311yescharacteristic
394#13133129C2311yescharacteristic
395#13133129C2311yescharacteristic
396#13133129C2311yescharacteristic
397#13133129C2311yescharacteristic
398#13133129C2311yescharacteristic
399#13133129C2311yescharacteristic
400#13133129C2311yescharacteristic
401#13133129C2311yescharacteristic
402#13133129C2311yescharacteristic
403#13133129C2311yescharacteristic
404#13133129C2311yescharacteristic
405#13133129C2311yescharacteristic
406#13133129C2311yescharacteristic
407#13133128C2311yescharacteristic
408#13133128C2311yescharacteristic
409#13133128C2311yescharacteristic
410#13133128C2311yescharacteristic
411#13133128C2311yescharacteristic
412#13133128C2311yescharacteristic
413#13133127C2311yescharacteristic
414#13133127C2311yescharacteristic
415#13133127C2311yescharacteristic
416#13133127C2311yescharacteristic
417#13133127C2311yescharacteristic
418#13133127C2311yescharacteristic
419#13133127C2311yescharacteristic
420#13133127C2311yescharacteristic
421C4×#88322C2311yescharacteristic
422C4×#88322C2311yescharacteristic
423C4×#88322C2311yescharacteristic
424C4×#88322C2311yescharacteristic
425C4×#88322C2311yescharacteristic
426C4×#88322C2311yescharacteristic
427C8×Dic53C2311yescharacteristic
428C8×Dic53C2311yescharacteristic
429C8×Dic53C2311yescharacteristic
430C8×Dic53C2311yescharacteristic
431C8×Dic53C2311yescharacteristic
432C8×Dic53C2311yescharacteristic
433C8×Dic53C2311yescharacteristic
434C8×Dic53C2311yescharacteristic
435C4⋊Q8×C53C2×C411yescharacteristic
436C4⋊Q8×C53C2×C411yescharacteristic
437#125×C53C2×C411yescharacteristic
438#125×C53C2×C411yescharacteristic
439C22⋊Q8×C53C2×C411yescharacteristic
440C22⋊Q8×C53C2×C411yescharacteristic
441C22⋊Q8×C53C2×C411yescharacteristic
442C22⋊Q8×C53C2×C411yescharacteristic
443C4×Q8×C53C2311yescharacteristic
444C4×Q8×C53C2311yescharacteristic
445C4×Q8×C53C2311yescharacteristic
446C4×Q8×C53C2311yescharacteristic
447#117×C53C2311yescharacteristic
448#117×C53C2311yescharacteristic
449C2×C42×C53C2311yescharacteristic
450C4⋊C8×C53C2311yescharacteristic
451C4⋊C8×C53C2311yescharacteristic
452C4⋊C8×C53C2311yescharacteristic
453C4⋊C8×C53C2311yescharacteristic
454C4⋊C8×C53C2311yescharacteristic
455C4⋊C8×C53C2311yescharacteristic
456C4⋊C8×C53C2311yescharacteristic
457C4⋊C8×C53C2311yescharacteristic
458C4⋊C8×C53C2311yescharacteristic
459C4⋊C8×C53C2311yescharacteristic
460C4⋊C8×C53C2311yescharacteristic
461C4⋊C8×C53C2311yescharacteristic
462C22⋊C8×C53C2311yescharacteristic
463C22⋊C8×C53C2311yescharacteristic
464C22⋊C8×C53C2311yescharacteristic
465C22⋊C8×C53C2311yescharacteristic
466#97×C53C2311yescharacteristic
467#97×C53C2311yescharacteristic
468#97×C53C2311yescharacteristic
469#97×C53C2311yescharacteristic
470#97×C53C2311yescharacteristic
471#97×C53C2311yescharacteristic
472C4×C8×C53C2311yescharacteristic
473C4×C8×C53C2311yescharacteristic
474C4×C8×C53C2311yescharacteristic
475C4×C8×C53C2311yescharacteristic
476C4×C8×C53C2311yescharacteristic
477C4×C8×C53C2311yescharacteristic
478C2×Q8×C53C22×C411yescharacteristic
479C2×Q8×C53C22×C411yescharacteristic
480C2×Q8×C53C22×C411yescharacteristic
481C2×Q8×C53C22×C411yescharacteristic
482C22×C4×C53C22×C411yescharacteristic
483C22×C4×C53C22×C411yescharacteristic
484C22×C4×C53C2411yescharacteristic
485C2×C22⋊D53C22×C411yescharacteristic
486C2×C22⋊D53C22×C411yescharacteristic
487C2×C22⋊D53C22×C411yescharacteristic
488C2×C22⋊D53C22×C411yescharacteristic
489C2×D212C22×C411yescharacteristic
490C2×D212C22×C411yescharacteristic
491C2×D212C22×C411yescharacteristic
492C2×D212C22×C411yescharacteristic
493C2×D212C22×C411yescharacteristic
494C2×D212C22×C411yescharacteristic
495C2×C4×D53C22×C411yescharacteristic
496C2×C4×D53C22×C411yescharacteristic
497C2×C4×D53C22×C411yescharacteristic
498C2×C4×D53C22×C411yescharacteristic
499C2×C4×D53C22×C411yescharacteristic
500C2×C4×D53C22×C411yescharacteristic
501C2×C4×D53C22×C411yescharacteristic
502C2×C4×D53C22×C411yescharacteristic
503C2×C4×D53C2411yescharacteristic
504C2×C4×D53C2411yescharacteristic
505C2×C4×D53C2411yescharacteristic
506C2×C4×D53C2411yescharacteristic
507C2×Dic106C22×C411yescharacteristic
508C2×Dic106C22×C411yescharacteristic
509C2×Dic106C22×C411yescharacteristic
510C2×Dic106C22×C411yescharacteristic
511C2×Dic106C22×C411yescharacteristic
512C2×Dic106C22×C411yescharacteristic
513C2×C8×C53C2411yescharacteristic
514C2×C8×C53C2411yescharacteristic
515C2×C8×C53C2411yescharacteristic
516C2×C8×C53C2411yescharacteristic
517C2×C8×C53C2411yescharacteristic
518C2×C8×C53C2411yescharacteristic
519C2×C8×C53C2411yescharacteristic
520C2×C8×C53C2411yescharacteristic
521C4⋊C4×C53C22×C411yescharacteristic
522C4⋊C4×C53C22×C411yescharacteristic
523C4⋊C4×C53C22×C411yescharacteristic
524C4⋊C4×C53C22×C411yescharacteristic
525C4⋊C4×C53C22×C411yescharacteristic
526C4⋊C4×C53C22×C411yescharacteristic
527C4⋊C4×C53C22×C411yescharacteristic
528C4⋊C4×C53C22×C411yescharacteristic
529C4⋊C4×C53C22×C411yescharacteristic
530C4⋊C4×C53C22×C411yescharacteristic
531C4⋊C4×C53C22×C411yescharacteristic
532C4⋊C4×C53C22×C411yescharacteristic
533C4⋊C4×C53C22×C411yescharacteristic
534C4⋊C4×C53C22×C411yescharacteristic
535C4⋊C4×C53C22×C411yescharacteristic
536C4⋊C4×C53C22×C411yescharacteristic
537C22⋊C4×C53C22×C411yescharacteristic
538C22⋊C4×C53C22×C411yescharacteristic
539C22⋊C4×C53C22×C411yescharacteristic
540C22⋊C4×C53C22×C411yescharacteristic
541C42×C53C22×C411yescharacteristic
542C42×C53C22×C411yescharacteristic
543C42×C53C2411yescharacteristic
544C42×C53C2411yescharacteristic
545C42×C53C2411yescharacteristic
546C42×C53C2411yescharacteristic
547C42×C53C2411yescharacteristic
548C42×C53C2411yescharacteristic
549C22⋊Dic53C22×C411yescharacteristic
550C22⋊Dic53C22×C411yescharacteristic
551C22⋊Dic53C22×C411yescharacteristic
552C22⋊Dic53C22×C411yescharacteristic
553#11719921C22×C411yescharacteristic
554#11719921C22×C411yescharacteristic
555#11719921C22×C411yescharacteristic
556#11719921C22×C411yescharacteristic
557#11719921C22×C411yescharacteristic
558#11719921C22×C411yescharacteristic
559#11719921C22×C411yescharacteristic
560#11719921C22×C411yescharacteristic
561#11719921C22×C411yescharacteristic
562#11719921C22×C411yescharacteristic
563#11719921C22×C411yescharacteristic
564#11719921C22×C411yescharacteristic
565#11719921C22×C411yescharacteristic
566#11719921C22×C411yescharacteristic
567#11719921C22×C411yescharacteristic
568#11719921C22×C411yescharacteristic
569#11719921C22×C411yescharacteristic
570#11719921C22×C411yescharacteristic
571#11719921C22×C411yescharacteristic
572#11719921C22×C411yescharacteristic
573#11719921C22×C411yescharacteristic
574#11719921C22×C411yescharacteristic
575#11719921C22×C411yescharacteristic
576#11719921C22×C411yescharacteristic
577#11719921C22×C411yescharacteristic
578#11719921C22×C411yescharacteristic
579#11719921C22×C411yescharacteristic
580#11719921C22×C411yescharacteristic
581#11719921C22×C411yescharacteristic
582#11719921C22×C411yescharacteristic
583#11719921C22×C411yescharacteristic
584#11719921C22×C411yescharacteristic
585C4⋊Dic53C22×C411yescharacteristic
586C4⋊Dic53C22×C411yescharacteristic
587C4⋊Dic53C22×C411yescharacteristic
588C4⋊Dic53C22×C411yescharacteristic
589C4⋊Dic53C22×C411yescharacteristic
590C4⋊Dic53C22×C411yescharacteristic
591C4⋊Dic53C22×C411yescharacteristic
592C4⋊Dic53C22×C411yescharacteristic
593C4⋊Dic53C22×C411yescharacteristic
594C4⋊Dic53C22×C411yescharacteristic
595C4⋊Dic53C22×C411yescharacteristic
596C4⋊Dic53C22×C411yescharacteristic
597#11719919C22×C411yescharacteristic
598#11719919C22×C411yescharacteristic
599#11719919C22×C411yescharacteristic
600#11719919C22×C411yescharacteristic
601#11719919C22×C411yescharacteristic
602#11719919C22×C411yescharacteristic
603#11719919C22×C411yescharacteristic
604#11719919C22×C411yescharacteristic
605#11719919C22×C411yescharacteristic
606#11719919C22×C411yescharacteristic
607#11719919C22×C411yescharacteristic
608#11719919C22×C411yescharacteristic
609#11719919C22×C411yescharacteristic
610#11719919C22×C411yescharacteristic
611#11719919C22×C411yescharacteristic
612#11719919C22×C411yescharacteristic
613#11719919C22×C411yescharacteristic
614#11719919C22×C411yescharacteristic
615#11719919C22×C411yescharacteristic
616#11719919C22×C411yescharacteristic
617#11719919C22×C411yescharacteristic
618#11719919C22×C411yescharacteristic
619#11719919C22×C411yescharacteristic
620#11719919C22×C411yescharacteristic
621#11719919C22×C411yescharacteristic
622#11719919C22×C411yescharacteristic
623#11719919C22×C411yescharacteristic
624#11719919C22×C411yescharacteristic
625#11719919C22×C411yescharacteristic
626#11719919C22×C411yescharacteristic
627#11719919C22×C411yescharacteristic
628#11719919C22×C411yescharacteristic
629C4×Dic53C22×C411yescharacteristic
630C4×Dic53C22×C411yescharacteristic
631C4×Dic53C22×C411yescharacteristic
632C4×Dic53C22×C411yescharacteristic
633C4×Dic53C22×C411yescharacteristic
634C4×Dic53C22×C411yescharacteristic
635C4×Dic53C22×C411yescharacteristic
636C4×Dic53C22×C411yescharacteristic
637C4×Dic53C2411yescharacteristic
638C4×Dic53C2411yescharacteristic
639C4×Dic53C2411yescharacteristic
640C4×Dic53C2411yescharacteristic
641#11719917—22no—
642#11719917—41no—
643C2×#88322—41no—
644C2×#88322—41no—
645C2×#88322C2411yescharacteristic
646C2×#88322C2411yescharacteristic
647C2×#88322C2411yescharacteristic
648C2×#88322C2411yescharacteristic
649C2×#88322C2411yescharacteristic
650C2×#88322C2411yescharacteristic
651C2×#88322C2411yescharacteristic
652C2×#88322C2411yescharacteristic
653#11719912—22no—
654#11719912—41no—
655#11719912—41no—
656#11719912—41no—
657#11719912—41no—
658#11719912—41no—
659#11719912—41no—
660#11719912—41no—
661C8×D53—22no—
662C8×D53—22no—
663C8×D53—22no—
664C8×D53—41no—
665C8×D53—41no—
666C8×D53—41no—
667C8×D53—41no—
668C8×D53—41no—
669C23×C53C23×C411yescharacteristic
670C22×D53C23×C411yescharacteristic
671C22×D53C23×C411yescharacteristic
672C22×D53C23×C411yescharacteristic
673C22×D53C23×C411yescharacteristic
674Q8×C53—41no—
675Q8×C53—41no—
676Q8×C53—41no—
677Q8×C53—41no—
678C2×C4×C53—21no—
679C2×C4×C53—21no—
680C2×C4×C53—41no—
681C2×C4×C53—41no—
682C2×C4×C53C23×C411yescharacteristic
683C2×C4×C53C23×C411yescharacteristic
684C2×C4×C53C23×C411yescharacteristic
685C2×C4×C53C23×C411yescharacteristic
686C2×C4×C53C23×C411yescharacteristic
687C2×C4×C53C23×C411yescharacteristic
688C2×C4×C53C23×C411yescharacteristic
689C2×C4×C53C23×C411yescharacteristic
690C2×C4×C53C23×C411yescharacteristic
691C2×C4×C53C23×C411yescharacteristic
692C2×C4×C53C23×C411yescharacteristic
693C2×C4×C53C23×C411yescharacteristic
694C2×C4×C53C23×C411yescharacteristic
695C2×C4×C53C2511yescharacteristic
696C22⋊D53—41no—
697C22⋊D53—41no—
698C22⋊D53—41no—
699C22⋊D53—41no—
700C2×Dic53C23×C411yescharacteristic
701C2×Dic53C23×C411yescharacteristic
702C2×Dic53C23×C411yescharacteristic
703C2×Dic53C23×C411yescharacteristic
704C2×Dic53C23×C411yescharacteristic
705C2×Dic53C23×C411yescharacteristic
706C2×Dic53C23×C411yescharacteristic
707C2×Dic53C23×C411yescharacteristic
708C2×Dic53C23×C411yescharacteristic
709C2×Dic53C23×C411yescharacteristic
710C2×Dic53C23×C411yescharacteristic
711C2×Dic53C23×C411yescharacteristic
712D212—41no—
713D212—41no—
714D212—41no—
715D212—41no—
716D212—41no—
717D212—41no—
718C4×D53—21no—
719C4×D53—21no—
720C4×D53—21no—
721C4×D53—21no—
722C4×D53—21no—
723C4×D53—21no—
724C4×D53—21no—
725C4×D53—21no—
726C4×D53—41no—
727C4×D53—41no—
728C4×D53—41no—
729C4×D53—41no—
730C4×D53—41no—
731C4×D53—41no—
732C4×D53—41no—
733C4×D53—41no—
734Dic106—41no—
735Dic106—41no—
736Dic106—41no—
737Dic106—41no—
738Dic106—41no—
739Dic106—41no—
740C8×C53—21no—
741C8×C53—21no—
742C8×C53—21no—
743C8×C53—21no—
744C8×C53—21no—
745C8×C53—21no—
746C8×C53—21no—
747C8×C53—21no—
748#88322—21no—
749#88322—21no—
750#88322—21no—
751#88322—21no—
752#88322—21no—
753#88322—21no—
754#88322—21no—
755#883222−1+412yes—
756#60346—531nomaximal, Sylow
757C22×C53—21no—
758C22×C53—21no—
759C22×C53—21no—
760C22×C53C24×C411yescharacteristic
761C2×D53—21no—
762C2×D53—21no—
763C2×D53—21no—
764C2×D53—21no—
765C2×D53—21no—
766C2×D53—21no—
767C2×D53—21no—
768C2×D53—21no—
769C2×D53—21no—
770C2×D53—21no—
771C2×D53—21no—
772C2×D53—21no—
773C4×C53—21no—
774C4×C53—21no—
775C4×C53—21no—
776C4×C53—21no—
777C4×C53—21no—
778C4×C53—21no—
779C4×C53—21no—
780C4×C53—21no—
781C4×C53—21no—
782C4×C53—21no—
783C4×C53—21no—
784C4×C53—21no—
785C4×C53—21no—
786C4×C53C2×2−1+411yescharacteristic
787C4×C53#58511yescharacteristic
788Dic53—21no—
789Dic53—21no—
790Dic53—21no—
791Dic53—21no—
792Dic53—21no—
793Dic53—21no—
794Dic53—21no—
795Dic53—21no—
796Dic53—21no—
797Dic53—21no—
798Dic53—21no—
799Dic53—21no—
800#3531—531no—
801#2995—531no—
802#2995—531no—
803#2994—531no—
804#2994—531no—
805#2993—531no—
806#2993—531no—
807#2993—531no—
808#2993—531no—
809#2992—531no—
810#2992—531no—
811#2987—531no—
812#2986—531no—
813#2986—531no—
814#2985—531no—
815#2985D5311yescharacteristic, complemented
816#2969—531no—
817#2969—531no—
818#2968—531no—
819#2968—531no—
820#2968—531no—
821#2968—531no—
822#2967—531no—
823#2967—531no—
824#2966—531no—
825#2966—531no—
826#2962—531no—
827#2962—531no—
828#2961—531no—
829#2961—531no—
830#2960—531no—
831C2×C53—41no—
832C2×C53C4×2−1+411yescharacteristic
833C2×C53#357311yescharacteristic
834C2×C53#357311yescharacteristic
835D53—41no—
836D53—41no—
837D53—41no—
838D53—41no—
839#564—531no—
840#563—531no—
841#563—531no—
842#563—531no—
843#563—531no—
844#563—531no—
845#563—531no—
846#563—531no—
847#563—531no—
848#563—531no—
849#563—531no—
850#562—531no—
851#562—531no—
852#562—531no—
853#562—531no—
854#562—531no—
855#533—531no—
856#533—531no—
857#533—531no—
858#533—531no—
859#533C2×D5311yescharacteristic
860#529—531no—
861#529—531no—
862#529—531no—
863#529—531no—
864#529—531no—
865#529—531no—
866#529—531no—
867#529—531no—
868#529—531no—
869#529—531no—
870#446—531no—
871#446—531no—
872#446—531no—
873#446—531no—
874#446—531no—
875#446—531no—
876#446—531no—
877#446—531no—
878#446—531no—
879#446—531no—
880#446—531no—
881#446—531no—
882#446—531no—
883#446—531no—
884#446—531no—
885#446—531no—
886#446—531no—
887#446—531no—
888#446—531no—
889#446—531no—
890#446—531no—
891#446—531no—
892#446—531no—
893#446—531no—
894#446C2×D5311yescharacteristic
895#446C2×D5311yescharacteristic
896#446C2×D5311yescharacteristic
897#446C2×D5311yescharacteristic
898#446C2×D5311yescharacteristic
899#446C2×D5311yescharacteristic
900C8×Q8—531no—
901C8×Q8—531no—
902C8×Q8—531no—
903C8×Q8—531no—
904C8×Q8—531no—
905C8×Q8—531no—
906C8×Q8—531no—
907C8×Q8—531no—
908C8×Q8C2×D5311yescharacteristic
909C8×Q8C2×D5311yescharacteristic
910#436—531no—
911#436—531no—
912#436—531no—
913#436—531no—
914#436—531no—
915#436—531no—
916#436—531no—
917#436—531no—
918#436—531no—
919#436—531no—
920#435—531no—
921#435—531no—
922#435—531no—
923#435—531no—
924#435—531no—
925#435—531no—
926#435—531no—
927#435—531no—
928#435—531no—
929#435—531no—
930#435—531no—
931#435—531no—
932#435—531no—
933#435—531no—
934#435—531no—
935#435—531no—
936#435—531no—
937#435—531no—
938#435—531no—
939#435—531no—
940C8×D4—531no—
941C8×D4—531no—
942C8×D4—531no—
943C8×D4—531no—
944C8×D4—531no—
945C8×D4—531no—
946C8×D4—531no—
947C8×D4—531no—
948C8×D4—531no—
949C8×D4—531no—
950#433—531no—
951#433—531no—
952#433—531no—
953#433—531no—
954#433—531no—
955#433—531no—
956#433—531no—
957#433—531no—
958#433—531no—
959#433—531no—
960#433—531no—
961#433—531no—
962#433—531no—
963#433—531no—
964#433—531no—
965#433—531no—
966#433C2×D5311yescharacteristic
967#433C2×D5311yescharacteristic
968#433C2×D5311yescharacteristic
969#433C2×D5311yescharacteristic
970#432—531no—
971#432—531no—
972#432—531no—
973#432C2×D5311yescharacteristic
974#431—531no—
975#431—531no—
976#431—531no—
977#431—531no—
978#431—531no—
979#431C2×D5311yescharacteristic
980#424—531no—
981#424—531no—
982#424—531no—
983#424—531no—
984#424—531no—
985#424—531no—
986#424—531no—
987#424—531no—
988#424—531no—
989#424—531no—
990#423—531no—
991#423—531no—
992#423—531no—
993C2×C4⋊C8—531no—
994C2×C4⋊C8—531no—
995#405—531no—
996#405—531no—
997#405—531no—
998#405—531no—
999#405—531no—
1000#405—531no—
1001#405—531no—
1002#405—531no—
1003#405—531no—
1004#405—531no—
1005C4×M16—531no—
1006C4×M16—531no—
1007C2×#97—531no—
1008C2×#97—531no—
1009C2×C4×C8—531no—
1010C53#6034611yescharacteristic, complemented, Sylow
1011C2×M16—531no—
1012C2×M16—531no—
1013C2×M16—531no—
1014C2×M16—531no—
1015C2×M16—531no—
1016C2×M16—531no—
1017C2×M16—531no—
1018C2×M16—531no—
1019C2×M16—531no—
1020C2×M16—531no—
1021C22×C8—531no—
1022C22×C8—531no—
1023C22×C8—531no—
1024C22×C8—531no—
1025C22×C8—531no—
1026C22×C8—531no—
1027C22×C8—531no—
1028C22×C8—531no—
1029C22×C8—531no—
1030C22×C8—531no—
1031C4⋊Q8—531no—
1032C4⋊Q8—531no—
1033C4⋊Q8—531no—
1034C4⋊Q8—531no—
1035C4⋊Q8—531no—
1036C4⋊Q8—531no—
1037C4⋊Q8—531no—
1038C4⋊Q8—531no—
1039C4⋊Q8C4×D5311yescharacteristic
1040C4⋊Q8C4×D5311yescharacteristic
1041#126—531no—
1042#126—531no—
1043#126—531no—
1044#126—531no—
1045#126—531no—
1046#126—531no—
1047#126—531no—
1048#126—531no—
1049#126—531no—
1050#126—531no—
1051#126—531no—
1052#126—531no—
1053#126—531no—
1054#126—531no—
1055#126—531no—
1056#126—531no—
1057#126—531no—
1058#126—531no—
1059#126—531no—
1060#126—531no—
1061#125—531no—
1062#125—531no—
1063#125—531no—
1064#125—531no—
1065#125—531no—
1066#125—531no—
1067#125—531no—
1068#125—531no—
1069#125—531no—
1070#125—531no—
1071#125—531no—
1072#125—531no—
1073#125—531no—
1074#125—531no—
1075#125—531no—
1076#125—531no—
1077#125—531no—
1078#125—531no—
1079#125C4×D5311yescharacteristic
1080#125C4×D5311yescharacteristic
1081#124—531no—
1082#124—531no—
1083#124—531no—
1084#124—531no—
1085#124—531no—
1086#124—531no—
1087#124—531no—
1088#124—531no—
1089#124—531no—
1090#124—531no—
1091#123—531no—
1092#123—531no—
1093#123—531no—
1094#123—531no—
1095#123—531no—
1096#123—531no—
1097#123—531no—
1098#123—531no—
1099#123—531no—
1100#123—531no—
1101#123—531no—
1102#123—531no—
1103#123—531no—
1104#123—531no—
1105#123—531no—
1106#123—531no—
1107#123—531no—
1108#123—531no—
1109#123—531no—
1110#123—531no—
1111C22⋊Q8—531no—
1112C22⋊Q8—531no—
1113C22⋊Q8—531no—
1114C22⋊Q8—531no—
1115C22⋊Q8—531no—
1116C22⋊Q8—531no—
1117C22⋊Q8—531no—
1118C22⋊Q8—531no—
1119C22⋊Q8—531no—
1120C22⋊Q8—531no—
1121C22⋊Q8—531no—
1122C22⋊Q8—531no—
1123C22⋊Q8—531no—
1124C22⋊Q8—531no—
1125C22⋊Q8—531no—
1126C22⋊Q8—531no—
1127C22⋊Q8—531no—
1128C22⋊Q8—531no—
1129C22⋊Q8—531no—
1130C22⋊Q8—531no—
1131C22⋊Q8—531no—
1132C22⋊Q8—531no—
1133C22⋊Q8—531no—
1134C22⋊Q8—531no—
1135C22⋊Q8—531no—
1136C22⋊Q8—531no—
1137C22⋊Q8C4×D5311yescharacteristic
1138C22⋊Q8C4×D5311yescharacteristic
1139C22⋊Q8C4×D5311yescharacteristic
1140C22⋊Q8C4×D5311yescharacteristic
1141#121—531no—
1142#121—531no—
1143#121—531no—
1144#121—531no—
1145#121—531no—
1146#121—531no—
1147#121—531no—
1148#121—531no—
1149#121—531no—
1150#121—531no—
1151C4×Q8—531no—
1152C4×Q8—531no—
1153C4×Q8—531no—
1154C4×Q8—531no—
1155C4×Q8—531no—
1156C4×Q8—531no—
1157C4×Q8C22×D5311yescharacteristic
1158C4×Q8C22×D5311yescharacteristic
1159C4×Q8C22×D5311yescharacteristic
1160C4×Q8C22×D5311yescharacteristic
1161C4×D4—531no—
1162C4×D4—531no—
1163C4×D4—531no—
1164C4×D4—531no—
1165C4×D4—531no—
1166C4×D4—531no—
1167C4×D4—531no—
1168C4×D4—531no—
1169C4×D4—531no—
1170C4×D4—531no—
1171#117—531no—
1172#117—531no—
1173#117—531no—
1174#117—531no—
1175#117—531no—
1176#117—531no—
1177#117—531no—
1178#117—531no—
1179#117C22×D5311yescharacteristic
1180#117C22×D5311yescharacteristic
1181C2×C42—531no—
1182C2×C42—531no—
1183C2×C42—531no—
1184C2×C42—531no—
1185C2×C42C22×D5311yescharacteristic
1186C4⋊C8—531no—
1187C4⋊C8—531no—
1188C4⋊C8—531no—
1189C4⋊C8—531no—
1190C4⋊C8—531no—
1191C4⋊C8—531no—
1192C4⋊C8—531no—
1193C4⋊C8—531no—
1194C4⋊C8—531no—
1195C4⋊C8—531no—
1196C4⋊C8—531no—
1197C4⋊C8—531no—
1198C4⋊C8—531no—
1199C4⋊C8—531no—
1200C4⋊C8—531no—
1201C4⋊C8—531no—
1202C4⋊C8—531no—
1203C4⋊C8—531no—
1204C4⋊C8—531no—
1205C4⋊C8—531no—
1206C4⋊C8—531no—
1207C4⋊C8—531no—
1208C4⋊C8—531no—
1209C4⋊C8—531no—
1210C4⋊C8—531no—
1211C4⋊C8—531no—
1212C4⋊C8—531no—
1213C4⋊C8—531no—
1214C4⋊C8C22×D5311yescharacteristic
1215C4⋊C8C22×D5311yescharacteristic
1216C4⋊C8C22×D5311yescharacteristic
1217C4⋊C8C22×D5311yescharacteristic
1218C4⋊C8C22×D5311yescharacteristic
1219C4⋊C8C22×D5311yescharacteristic
1220C4⋊C8C22×D5311yescharacteristic
1221C4⋊C8C22×D5311yescharacteristic
1222C4⋊C8C22×D5311yescharacteristic
1223C4⋊C8C22×D5311yescharacteristic
1224C4⋊C8C22×D5311yescharacteristic
1225C4⋊C8C22×D5311yescharacteristic
1226C22⋊C8—531no—
1227C22⋊C8—531no—
1228C22⋊C8—531no—
1229C22⋊C8—531no—
1230C22⋊C8—531no—
1231C22⋊C8—531no—
1232C22⋊C8—531no—
1233C22⋊C8—531no—
1234C22⋊C8—531no—
1235C22⋊C8—531no—
1236C22⋊C8—531no—
1237C22⋊C8—531no—
1238C22⋊C8—531no—
1239C22⋊C8—531no—
1240C22⋊C8—531no—
1241C22⋊C8—531no—
1242C22⋊C8C22×D5311yescharacteristic
1243C22⋊C8C22×D5311yescharacteristic
1244C22⋊C8C22×D5311yescharacteristic
1245C22⋊C8C22×D5311yescharacteristic
1246#97—531no—
1247#97—531no—
1248#97—531no—
1249#97—531no—
1250#97—531no—
1251#97—531no—
1252#97—531no—
1253#97—531no—
1254#97—531no—
1255#97—531no—
1256#97—531no—
1257#97—531no—
1258#97—531no—
1259#97—531no—
1260#97C22×D5311yescharacteristic
1261#97C22×D5311yescharacteristic
1262#97C22×D5311yescharacteristic
1263#97C22×D5311yescharacteristic
1264#97C22×D5311yescharacteristic
1265#97C22×D5311yescharacteristic
1266C4×C8—531no—
1267C4×C8—531no—
1268C4×C8—531no—
1269C4×C8—531no—
1270C4×C8—531no—
1271C4×C8—531no—
1272C4×C8—531no—
1273C4×C8—531no—
1274C4×C8—531no—
1275C4×C8—531no—
1276C4×C8—531no—
1277C4×C8—531no—
1278C4×C8—531no—
1279C4×C8—531no—
1280C4×C8C22×D5311yescharacteristic
1281C4×C8C22×D5311yescharacteristic
1282C4×C8C22×D5311yescharacteristic
1283C4×C8C22×D5311yescharacteristic
1284C4×C8C22×D5311yescharacteristic
1285C4×C8C22×D5311yescharacteristic
1286C2×Q8—531no—
1287C2×Q8—531no—
1288C2×Q8—531no—
1289C2×Q8—531no—
1290C2×Q8—531no—
1291C2×Q8—531no—
1292C2×Q8C2×C4×D5311yescharacteristic
1293C2×Q8C2×C4×D5311yescharacteristic
1294C2×Q8C2×C4×D5311yescharacteristic
1295C2×Q8C2×C4×D5311yescharacteristic
1296C2×D4—531no—
1297C2×D4—531no—
1298C2×D4—531no—
1299C2×D4—531no—
1300C2×D4—531no—
1301C2×D4—531no—
1302C2×D4—531no—
1303C2×D4—531no—
1304C2×D4—531no—
1305C2×D4—531no—
1306C22×C4—531no—
1307C22×C4—531no—
1308C22×C4—531no—
1309C22×C4—531no—
1310C22×C4—531no—
1311C22×C4—531no—
1312C22×C4—531no—
1313C22×C4—531no—
1314C22×C4—531no—
1315C22×C4—531no—
1316C22×C4—531no—
1317C22×C4—531no—
1318C22×C4C2×C4×D5311yescharacteristic
1319C22×C4C2×C4×D5311yescharacteristic
1320C22×C4C23×D5311yescharacteristic
1321M16—1062no—
1322M16—1062no—
1323M16—2121no—
1324M16—2121no—
1325M16—2121no—
1326M16—2121no—
1327M16—2121no—
1328M16—2121no—
1329M16—2121no—
1330M16—2121no—
1331C2×C8—531no—
1332C2×C8—531no—
1333C2×C8—531no—
1334C2×C8—531no—
1335C2×C8—531no—
1336C2×C8—531no—
1337C2×C8—531no—
1338C2×C8—531no—
1339C2×C8—1062no—
1340C2×C8—1062no—
1341C2×C8—1062no—
1342C2×C8—2121no—
1343C2×C8—2121no—
1344C2×C8—2121no—
1345C2×C8—2121no—
1346C2×C8—2121no—
1347C2×C8—2121no—
1348C2×C8—2121no—
1349C2×C8C23×D5311yescharacteristic
1350C2×C8C23×D5311yescharacteristic
1351C2×C8C23×D5311yescharacteristic
1352C2×C8C23×D5311yescharacteristic
1353C2×C8C23×D5311yescharacteristic
1354C2×C8C23×D5311yescharacteristic
1355C2×C8C23×D5311yescharacteristic
1356C2×C8C23×D5311yescharacteristic
1357C4⋊C4—531no—
1358C4⋊C4—531no—
1359C4⋊C4—531no—
1360C4⋊C4—531no—
1361C4⋊C4—531no—
1362C4⋊C4—531no—
1363C4⋊C4—531no—
1364C4⋊C4—531no—
1365C4⋊C4—531no—
1366C4⋊C4—531no—
1367C4⋊C4—531no—
1368C4⋊C4—531no—
1369C4⋊C4—531no—
1370C4⋊C4—531no—
1371C4⋊C4—531no—
1372C4⋊C4—531no—
1373C4⋊C4—531no—
1374C4⋊C4—531no—
1375C4⋊C4—531no—
1376C4⋊C4—531no—
1377C4⋊C4—531no—
1378C4⋊C4—531no—
1379C4⋊C4—531no—
1380C4⋊C4—531no—
1381C4⋊C4—531no—
1382C4⋊C4—531no—
1383C4⋊C4—531no—
1384C4⋊C4—531no—
1385C4⋊C4—531no—
1386C4⋊C4—531no—
1387C4⋊C4—531no—
1388C4⋊C4—531no—
1389C4⋊C4—531no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—531no—
1395C4⋊C4—531no—
1396C4⋊C4—531no—
1397C4⋊C4—531no—
1398C4⋊C4—531no—
1399C4⋊C4—531no—
1400C4⋊C4—531no—
1401C4⋊C4C2×C4×D5311yescharacteristic
1402C4⋊C4C2×C4×D5311yescharacteristic
1403C4⋊C4C2×C4×D5311yescharacteristic
1404C4⋊C4C2×C4×D5311yescharacteristic
1405C4⋊C4C2×C4×D5311yescharacteristic
1406C4⋊C4C2×C4×D5311yescharacteristic
1407C4⋊C4C2×C4×D5311yescharacteristic
1408C4⋊C4C2×C4×D5311yescharacteristic
1409C4⋊C4C2×C4×D5311yescharacteristic
1410C4⋊C4C2×C4×D5311yescharacteristic
1411C4⋊C4C2×C4×D5311yescharacteristic
1412C4⋊C4C2×C4×D5311yescharacteristic
1413C4⋊C4C2×C4×D5311yescharacteristic
1414C4⋊C4C2×C4×D5311yescharacteristic
1415C4⋊C4C2×C4×D5311yescharacteristic
1416C4⋊C4C2×C4×D5311yescharacteristic
1417C22⋊C4—531no—
1418C22⋊C4—531no—
1419C22⋊C4—531no—
1420C22⋊C4—531no—
1421C22⋊C4—531no—
1422C22⋊C4—531no—
1423C22⋊C4—531no—
1424C22⋊C4—531no—
1425C22⋊C4—531no—
1426C22⋊C4—531no—
1427C22⋊C4—531no—
1428C22⋊C4—531no—
1429C22⋊C4—531no—
1430C22⋊C4—531no—
1431C22⋊C4—531no—
1432C22⋊C4—531no—
1433C22⋊C4—531no—
1434C22⋊C4—531no—
1435C22⋊C4—531no—
1436C22⋊C4—531no—
1437C22⋊C4—531no—
1438C22⋊C4—531no—
1439C22⋊C4—531no—
1440C22⋊C4—531no—
1441C22⋊C4—531no—
1442C22⋊C4—531no—
1443C22⋊C4—531no—
1444C22⋊C4—531no—
1445C22⋊C4—531no—
1446C22⋊C4—531no—
1447C22⋊C4—531no—
1448C22⋊C4—531no—
1449C22⋊C4—531no—
1450C22⋊C4—531no—
1451C22⋊C4—531no—
1452C22⋊C4—531no—
1453C22⋊C4C2×C4×D5311yescharacteristic
1454C22⋊C4C2×C4×D5311yescharacteristic
1455C22⋊C4C2×C4×D5311yescharacteristic
1456C22⋊C4C2×C4×D5311yescharacteristic
1457C42—531no—
1458C42—531no—
1459C42—531no—
1460C42—531no—
1461C42—531no—
1462C42—531no—
1463C42—531no—
1464C42—531no—
1465C42—531no—
1466C42—531no—
1467C42—531no—
1468C42—531no—
1469C42C2×C4×D5311yescharacteristic
1470C42C2×C4×D5311yescharacteristic
1471C42C23×D5311yescharacteristic
1472C42C23×D5311yescharacteristic
1473C42C23×D5311yescharacteristic
1474C42C23×D5311yescharacteristic
1475C42C23×D5311yescharacteristic
1476C42C23×D5311yescharacteristic
1477C23—531no—
1478C23—531no—
1479C23—531no—
1480C23—531no—
1481C23C22×C4×D5311yescharacteristic
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—2121no—
1487Q8—2121no—
1488Q8—2121no—
1489Q8—2121no—
1490Q8—2121no—
1491Q8—2121no—
1492D4—2121no—
1493D4—2121no—
1494D4—2121no—
1495D4—2121no—
1496D4—2121no—
1497D4—2121no—
1498D4—2121no—
1499D4—2121no—
1500D4—2121no—
1501D4—2121no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—531no—
1507C2×C4—531no—
1508C2×C4—531no—
1509C2×C4—531no—
1510C2×C4—531no—
1511C2×C4—531no—
1512C2×C4—531no—
1513C2×C4—531no—
1514C2×C4—531no—
1515C2×C4—531no—
1516C2×C4—531no—
1517C2×C4—531no—
1518C2×C4—1061no—
1519C2×C4—1061no—
1520C2×C4—1061no—
1521C2×C4—1061no—
1522C2×C4—1061no—
1523C2×C4—1061no—
1524C2×C4—1061no—
1525C2×C4—1061no—
1526C2×C4—2121no—
1527C2×C4—2121no—
1528C2×C4—2121no—
1529C2×C4—2121no—
1530C2×C4—2121no—
1531C2×C4—2121no—
1532C2×C4—2121no—
1533C2×C4—2121no—
1534C2×C4C22×C4×D5311yescharacteristic
1535C2×C4C22×C4×D5311yescharacteristic
1536C2×C4C22×C4×D5311yescharacteristic
1537C2×C4C22×C4×D5311yescharacteristic
1538C2×C4C22×C4×D5311yescharacteristic
1539C2×C4C22×C4×D5311yescharacteristic
1540C2×C4C22×C4×D5311yescharacteristic
1541C2×C4C22×C4×D5311yescharacteristic
1542C2×C4C22×C4×D5311yescharacteristic
1543C2×C4C22×C4×D5311yescharacteristic
1544C2×C4C22×C4×D5311yescharacteristic
1545C2×C4C22×C4×D5311yescharacteristic
1546C2×C4C22×C4×D5311yescharacteristic
1547C2×C4C24×D5311yescharacteristic
1548C8—21no—
1549C8—21no—
1550C8—21no—
1551C8—21no—
1552C8—21no—
1553C8—21no—
1554C8—21no—
1555C8—21no—
1556C8—532no—
1557C8—1061no—
1558C8—1061no—
1559C8—1061no—
1560C8—1061no—
1561C8—1061no—
1562C8—1061no—
1563C8—1061no—
1564C22—21no—
1565C22—21no—
1566C22—21no—
1567C22—1061no—
1568C22—1061no—
1569C22—1061no—
1570C22—1061no—
1571C22—1061no—
1572C22—1061no—
1573C22—1061no—
1574C22—1061no—
1575C22—1061no—
1576C22—1061no—
1577C22—1061no—
1578C22—1061no—
1579C22C23×C4×D5311yescharacteristic
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—1061no—
1594C4—1061no—
1595C4—1061no—
1596C4—1061no—
1597C4—1061no—
1598C4—1061no—
1599C4—1061no—
1600C4—1061no—
1601C4—1061no—
1602C4—1061no—
1603C4—1061no—
1604C4—1061no—
1605C42−1+4×D5311yescharacteristic
1606C4#1681146011yescharacteristic
1607C2—41no—
1608C2—2121no—
1609C2—2121no—
1610C2—2121no—
1611C2—2121no—
1612C2#2028792411yescharacteristic
1613C2#2028942611yescharacteristic
1614C2#2028942811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D53
commutator, socleC22×C53C24×C4
FittingC53×#2985C2
prime radical#20288862C2
cosocleC2×C4×C53C25
hypercenter#2985D53
hypocenterC53#60346
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ #2985

Complements

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

NH ≅ G/Ntype
2. #20283884C2semidirect
3. #20283880C2semidirect
4. #20283877C2semidirect
5. #20283869C2semidirect
6. #20283867C2semidirect
7. #20283863C2semidirect
8. #20283858C2semidirect
9. #20283858C2semidirect
10. #20283856C2semidirect
11. #20283853C2semidirect
12. #20283818C2semidirect
13. #20283815C2semidirect
14. #20283813C2semidirect
15. #20283808C2semidirect
16. #20283718C2semidirect
17. #20283713C2semidirect
18. #20283708C2semidirect
19. #20283708C2semidirect
20. #20283707C2semidirect
21. #20283707C2semidirect
22. #20283698C2semidirect
23. #20283695C2semidirect
24. #20283689C2semidirect
25. #20283688C2semidirect
26. #20283664C2semidirect
27. #20283663C2semidirect
28. #20283651C2semidirect
29. #20283651C2semidirect
30. #20283644C2semidirect
31. C53×#2985C2semidirect
815. #2985D53semidirect
1010. C53#60346semidirect

Maximal subgroups

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

subgroupindex
#202888622
#202838842
#202838802
#202838772
#202838692
#202838672
#202838632
#202838582
#202838562
#202838532
#202838182
#202838152
#202838132
#202838082
#202837182
#202837132
#202837082
#202837072
#202836982
#202836952
#202836892
#202836882
#202836642
#202836632
#202836512
#202836442
C53×#29852
#6034653