Finite Group Databasebeta

← #28275825

Subgroups — #28275825

Order 13568.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289203C211yesmaximal, characteristic, complemented
2#20287790C211yesmaximal, characteristic, complemented
3#20287790C211yesmaximal, characteristic, complemented
4#20287775C211yesmaximal, characteristic, complemented
5#20287775C211yesmaximal, characteristic, complemented
6#20287768C211yesmaximal, characteristic, complemented
7#20287746C211yesmaximal, characteristic, complemented
8#20287707C211yesmaximal, characteristic, complemented
9#20287699C211yesmaximal, characteristic, complemented
10#20287551C211yesmaximal, characteristic, complemented
11#20287536C211yesmaximal, characteristic, complemented
12#20287525C211yesmaximal, characteristic, complemented
13#20287477C211yesmaximal, characteristic, complemented
14#20287462C211yesmaximal, characteristic, complemented
15#20287451C211yesmaximal, characteristic, complemented
16#20287407C211yesmaximal, characteristic, complemented
17#20287396C211yesmaximal, characteristic, complemented
18#20285824C211yesmaximal, characteristic, complemented
19#20285809C211yesmaximal, characteristic
20#20285798C211yesmaximal, characteristic, complemented
21#20285787C211yesmaximal, characteristic, complemented
22#20285718C211yesmaximal, characteristic, complemented
23#20285680C211yesmaximal, characteristic, complemented
24#20285015C211yesmaximal, characteristic, complemented
25#20284967C211yesmaximal, characteristic, complemented
26#20284944C211yesmaximal, characteristic, complemented
27#20284899C211yesmaximal, characteristic, complemented
28#20284824C211yesmaximal, characteristic, complemented
29#20284786C211yesmaximal, characteristic, complemented
30#20283810C211yesmaximal, characteristic, complemented
31C53×#3510C211yesmaximal, characteristic, complemented
32#16811374—21no—
33#16811374—21no—
34Q8×Dic106C2211yescharacteristic, complemented
35#16811352C2211yescharacteristic, complemented
36#16811351C2211yescharacteristic, complemented
37#16811351C2211yescharacteristic, complemented
38#16811346C2211yescharacteristic, complemented
39#16811346C2211yescharacteristic, complemented
40#16811346C2211yescharacteristic, complemented
41#16811344—21no—
42#16811333C2211yescharacteristic, complemented
43#16811307—21no—
44#16811250—21no—
45#16811244C2211yescharacteristic
46#16811244C2211yescharacteristic
47#16811235C2211yescharacteristic
48#16811235C2211yescharacteristic
49#16811234—21no—
50#16811232—21no—
51#16811232—21no—
52#16811180C2211yescharacteristic
53#16811157C2211yescharacteristic
54#16811018C2211yescharacteristic
55#16811018C2211yescharacteristic
56#16811018C2211yescharacteristic
57#16811018C2211yescharacteristic, complemented
58#16811015C2211yescharacteristic, complemented
59#16811010C2211yescharacteristic
60#16811005C2211yescharacteristic
61#16811005C2211yescharacteristic
62#16811005C2211yescharacteristic
63#16811005C2211yescharacteristic, complemented
64#16811002C2211yescharacteristic, complemented
65#16810995C2211yescharacteristic
66#16810991C2211yescharacteristic, complemented
67#16810987C2211yescharacteristic
68#16810982C2211yescharacteristic
69#16810982C2211yescharacteristic
70#16810982C2211yescharacteristic
71#16810982C2211yescharacteristic, complemented
72#16810977C2211yescharacteristic
73#16810977C2211yescharacteristic
74#16810977C2211yescharacteristic
75#16810977C2211yescharacteristic, complemented
76#16810973C2211yescharacteristic, complemented
77#16810969C2211yescharacteristic
78#16810964C2211yescharacteristic
79#16810964C2211yescharacteristic
80#16810964C2211yescharacteristic
81#16810947C2211yescharacteristic
82#16810930C2211yescharacteristic, complemented
83#16810930C2211yescharacteristic, complemented
84#16810930C2211yescharacteristic, complemented
85#16810923C2211yescharacteristic
86#16810923C2211yescharacteristic
87#16810923C2211yescharacteristic, complemented
88#16810918C2211yescharacteristic, complemented
89#16810913C2211yescharacteristic
90#16810908C2211yescharacteristic, complemented
91#16810908C2211yescharacteristic, complemented
92#16810903C2211yescharacteristic
93#16810903C2211yescharacteristic, complemented
94#16810845C2211yescharacteristic, complemented
95#16810845C2211yescharacteristic, complemented
96#16810845C2211yescharacteristic, complemented
97#16810842C2211yescharacteristic
98#16810842C2211yescharacteristic
99#16810842C2211yescharacteristic
100#16810842C2211yescharacteristic
101#16810842C2211yescharacteristic
102#16810842C2211yescharacteristic
103#16810842C2211yescharacteristic
104#16810842C2211yescharacteristic
105#16810842C2211yescharacteristic
106#16810842C2211yescharacteristic, complemented
107#16810842C2211yescharacteristic, complemented
108#16810842C2211yescharacteristic, complemented
109#16810838C2211yescharacteristic
110#16810838C2211yescharacteristic
111#16810838C2211yescharacteristic, complemented
112#16810835C2211yescharacteristic
113#16810835C2211yescharacteristic
114#16810835C2211yescharacteristic
115#16810835C2211yescharacteristic, complemented
116#16810833C2211yescharacteristic, complemented
117#16810833C2211yescharacteristic, complemented
118#16810833C2211yescharacteristic, complemented
119#16810830C2211yescharacteristic, complemented
120#16810830C2211yescharacteristic, complemented
121#16810830C2211yescharacteristic, complemented
122#16810828C2211yescharacteristic
123#16810828C2211yescharacteristic
124#16810828C2211yescharacteristic, complemented
125#16810825C2211yescharacteristic, complemented
126#16810820C2211yescharacteristic
127#16810820C2211yescharacteristic
128#16810820C2211yescharacteristic
129#16810815C2211yescharacteristic
130#16810785C2211yescharacteristic
131#16810785C2211yescharacteristic
132#16810785C2211yescharacteristic
133#16810779C2211yescharacteristic
134#16810779C2211yescharacteristic
135#16810779C2211yescharacteristic
136#16810774C2211yescharacteristic
137#16810774C2211yescharacteristic
138#16810774C2211yescharacteristic
139#16810768C2211yescharacteristic
140#16810762C2211yescharacteristic
141#16810757C2211yescharacteristic
142#16810754C2211yescharacteristic, complemented
143#16810754C2211yescharacteristic, complemented
144#16810754C2211yescharacteristic, complemented
145#16810754C2211yescharacteristic, complemented
146#16810754C2211yescharacteristic, complemented
147#16810754C2211yescharacteristic, complemented
148Q8×#88322C2211yescharacteristic, complemented
149Q8×#88322C2211yescharacteristic, complemented
150#16810733C2211yescharacteristic
151#16810733C2211yescharacteristic, complemented
152#16810728C2211yescharacteristic, complemented
153#16810728C2211yescharacteristic, complemented
154#16810728C2211yescharacteristic, complemented
155#16810728C2211yescharacteristic, complemented
156#16810723C2211yescharacteristic
157#16810723C2211yescharacteristic
158#16810723C2211yescharacteristic
159#16810723C2211yescharacteristic, complemented
160#16810721C2211yescharacteristic, complemented
161#16810721C2211yescharacteristic, complemented
162C4×#11719925C2211yescharacteristic, complemented
163C4×#11719925C2211yescharacteristic, complemented
164C4×#11719925C2211yescharacteristic, complemented
165C4×#11719925C2211yescharacteristic, complemented
166C4×#11719925C2211yescharacteristic, complemented
167C4×#11719924C2211yescharacteristic, complemented
168C4×#11719923C2211yescharacteristic
169C4×#11719923C2211yescharacteristic
170C4×#11719923C2211yescharacteristic
171C4×#11719923C2211yescharacteristic, complemented
172C4×#11719923C2211yescharacteristic, complemented
173C4×#11719922C2211yescharacteristic
174#16810684C2211yescharacteristic
175#16810684C2211yescharacteristic
176#16810684C2211yescharacteristic
177#16810684C2211yescharacteristic
178#16810680C2211yescharacteristic
179#16810676C2211yescharacteristic
180C53×#559C2211yescharacteristic
181C53×#559C2211yescharacteristic
182C53×#559C2211yescharacteristic
183C53×#559C2211yescharacteristic
184C53×#556C2211yescharacteristic
185C53×#556C2211yescharacteristic
186C53×#556C2211yescharacteristic
187C53×#556C2211yescharacteristic
188C53×#551—21no—
189C53×#551—21no—
190C53×#551—21no—
191C53×#551—21no—
192C53×#542—21no—
193C53×#542—21no—
194C53×#536C2211yescharacteristic
195C53×#535C2211yescharacteristic
196C53×#533C2211yescharacteristic
197C53×#529—21no—
198C53×#529—21no—
199C2×#124×C53C2211yescharacteristic
200C53×#519C2211yescharacteristic
201C53×#518C2211yescharacteristic
202C4×#41×C53C2211yescharacteristic
203C2×#11719925C2311yescharacteristic
204C2×#11719925C2311yescharacteristic
205C2×#11719925C2311yescharacteristic
206C2×#11719925C2311yescharacteristic
207C2×#11719925C2311yescharacteristic
208C2×#11719925C2311yescharacteristic
209C2×#11719925C2311yescharacteristic
210C2×#11719925C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719923C2311yescharacteristic
213C2×#11719923C2311yescharacteristic
214C2×#11719923C2311yescharacteristic
215C2×#11719923C2311yescharacteristic
216C2×#11719923C2311yescharacteristic
217C2×#11719923C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×#11719924C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225C2×#11719922C2311yescharacteristic
226C2×#11719922C2311yescharacteristic
227#13133217C2311yescharacteristic
228#13133217C2311yescharacteristic
229#13133217C2311yescharacteristic
230#13133217C2311yescharacteristic
231#13133217C2311yescharacteristic
232#13133217C2311yescharacteristic
233#13133216—21no—
234#13133216—21no—
235#13133216—21no—
236#13133215—21no—
237#13133215—21no—
238#13133212—21no—
239#13133212—21no—
240#13133212—21no—
241#13133212—21no—
242#13133212—21no—
243#13133212—21no—
244#13133212—21no—
245#13133212—21no—
246#13133211—21no—
247#13133210—21no—
248#13133210—21no—
249#13133210—21no—
250#13133210—21no—
251#13133209—21no—
252#13133209C2311yescharacteristic
253#13133209C2311yescharacteristic
254#13133209C2311yescharacteristic
255#13133208—21no—
256#13133208—21no—
257#13133208—21no—
258#13133207—21no—
259#13133207—21no—
260#13133207—21no—
261#13133207—21no—
262#13133207—21no—
263#13133207—21no—
264#13133207—21no—
265#13133207—21no—
266#13133205C2311yescharacteristic
267#13133205C2311yescharacteristic
268#13133205C2311yescharacteristic
269#13133203—21no—
270#13133203—21no—
271#13133200—21no—
272#13133199—21no—
273#13133199—21no—
274#13133196—21no—
275#13133196C2311yescharacteristic
276#13133196C2311yescharacteristic
277#13133196C2311yescharacteristic
278#13133195—21no—
279#13133195—21no—
280#13133195—21no—
281#13133195—21no—
282#13133193—21no—
283#13133193—21no—
284#13133193—21no—
285#13133193—21no—
286#13133191C2311yescharacteristic
287Q8×Dic53—21no—
288Q8×Dic53—21no—
289C4×Dic106—21no—
290C4×Dic106C2311yescharacteristic
291C4×Dic106C2311yescharacteristic
292C4×Dic106C2311yescharacteristic
293C4×Dic106C2311yescharacteristic
294C4×Dic106C2311yescharacteristic
295C4×Dic106C2311yescharacteristic
296C4×Dic106C2311yescharacteristic
297C4×Dic106C2311yescharacteristic
298C4×Dic106C2311yescharacteristic
299#13133182—21no—
300#13133182—21no—
301C4×D212C2311yescharacteristic
302C4×D212C2311yescharacteristic
303C4×D212C2311yescharacteristic
304C4×C22⋊D53—21no—
305#13133176—21no—
306#13133175—21no—
307#13133175—21no—
308#13133175—21no—
309#13133174—21no—
310C4⋊C4×D53—21no—
311#13133150C2311yescharacteristic
312#13133150C2311yescharacteristic
313#13133150C2311yescharacteristic
314#13133150C2311yescharacteristic
315#13133148C2311yescharacteristic
316#13133148C2311yescharacteristic
317#13133148C2311yescharacteristic
318#13133148C2311yescharacteristic
319C4⋊#88322C2311yescharacteristic
320C4⋊#88322C2311yescharacteristic
321C4⋊#88322C2311yescharacteristic
322C4⋊#88322C2311yescharacteristic
323C4⋊#88322C2311yescharacteristic
324C4⋊#88322C2311yescharacteristic
325C4⋊#88322C2311yescharacteristic
326C4⋊#88322C2311yescharacteristic
327C4⋊#88322C2311yescharacteristic
328C4⋊#88322C2311yescharacteristic
329C4⋊#88322C2311yescharacteristic
330C4⋊#88322C2311yescharacteristic
331#13133141C2311yescharacteristic
332#13133141C2311yescharacteristic
333#13133141C2311yescharacteristic
334#13133141C2311yescharacteristic
335#13133141C2311yescharacteristic
336#13133141C2311yescharacteristic
337#13133141C2311yescharacteristic
338#13133141C2311yescharacteristic
339#13133141C2311yescharacteristic
340#13133141C2311yescharacteristic
341#13133141C2311yescharacteristic
342#13133141C2311yescharacteristic
343#13133140C2311yescharacteristic
344#13133140C2311yescharacteristic
345#13133140C2311yescharacteristic
346#13133140C2311yescharacteristic
347#13133140C2311yescharacteristic
348#13133140C2311yescharacteristic
349#13133138C2311yescharacteristic
350#13133138C2311yescharacteristic
351#13133138C2311yescharacteristic
352#13133138C2311yescharacteristic
353#13133138C2311yescharacteristic
354#13133138C2311yescharacteristic
355#13133138C2311yescharacteristic
356#13133138C2311yescharacteristic
357#13133138C2311yescharacteristic
358#13133138C2311yescharacteristic
359#13133138C2311yescharacteristic
360#13133138C2311yescharacteristic
361#13133137C2311yescharacteristic
362#13133137C2311yescharacteristic
363C22⋊#88322C2311yescharacteristic
364C22⋊#88322C2311yescharacteristic
365C22⋊#88322C2311yescharacteristic
366C22⋊#88322C2311yescharacteristic
367#13133128C2311yescharacteristic
368#13133128C2311yescharacteristic
369#13133128C2311yescharacteristic
370#13133128C2311yescharacteristic
371#13133128C2311yescharacteristic
372#13133128C2311yescharacteristic
373C4×#88322C2311yescharacteristic
374C4×#88322C2311yescharacteristic
375C4×#88322C2311yescharacteristic
376C4×#88322C2311yescharacteristic
377C4×#88322C2311yescharacteristic
378C4×#88322C2311yescharacteristic
379C2×#41×C53C2311yescharacteristic
380C22×Q8×C53C2311yescharacteristic
381C22×D4×C53C2311yescharacteristic
382C4⋊Q8×C53D411yescharacteristic
383C4⋊Q8×C53D411yescharacteristic
384C4⋊Q8×C53C2311yescharacteristic
385C4⋊Q8×C53C2311yescharacteristic
386#127×C53C2311yescharacteristic
387#127×C53C2311yescharacteristic
388#126×C53—21no—
389#126×C53—21no—
390#126×C53—21no—
391#126×C53—21no—
392#126×C53—21no—
393#126×C53—21no—
394#126×C53—21no—
395#126×C53—21no—
396#125×C53D411yescharacteristic
397#125×C53D411yescharacteristic
398#124×C53—21no—
399#124×C53—21no—
400#124×C53—21no—
401#124×C53—21no—
402#124×C53—21no—
403#124×C53—21no—
404#124×C53C2311yescharacteristic
405#124×C53C2311yescharacteristic
406#124×C53C2311yescharacteristic
407#124×C53C2311yescharacteristic
408#124×C53C2311yescharacteristic
409#124×C53C2311yescharacteristic
410#124×C53C2311yescharacteristic
411#124×C53C2311yescharacteristic
412#123×C53—21no—
413#123×C53—21no—
414#123×C53—21no—
415#123×C53—21no—
416#123×C53—21no—
417#123×C53—21no—
418#123×C53—21no—
419#123×C53—21no—
420#123×C53—21no—
421#123×C53—21no—
422C22⋊Q8×C53—21no—
423C22⋊Q8×C53—21no—
424C22⋊Q8×C53—21no—
425C22⋊Q8×C53—21no—
426C22⋊Q8×C53—21no—
427C22⋊Q8×C53—21no—
428C22⋊Q8×C53D411yescharacteristic
429C22⋊Q8×C53D411yescharacteristic
430C22⋊Q8×C53D411yescharacteristic
431C22⋊Q8×C53D411yescharacteristic
432#121×C53—21no—
433#121×C53—21no—
434#120×C53—21no—
435#120×C53—21no—
436C4×Q8×C53—21no—
437C4×Q8×C53—21no—
438C4×Q8×C53C2311yescharacteristic
439C4×Q8×C53C2311yescharacteristic
440C4×Q8×C53C2311yescharacteristic
441C4×Q8×C53C2311yescharacteristic
442C4×Q8×C53C2311yescharacteristic
443C4×Q8×C53C2311yescharacteristic
444C4×Q8×C53C2311yescharacteristic
445C4×Q8×C53C2311yescharacteristic
446C4×Q8×C53C2311yescharacteristic
447C4×Q8×C53C2311yescharacteristic
448C4×D4×C53—21no—
449C4×D4×C53—21no—
450C4×D4×C53—21no—
451C4×D4×C53—21no—
452C4×D4×C53—21no—
453C4×D4×C53—21no—
454C4×D4×C53—21no—
455C4×D4×C53—21no—
456C4×D4×C53C2311yescharacteristic
457C4×D4×C53C2311yescharacteristic
458C4×D4×C53C2311yescharacteristic
459C4×D4×C53C2311yescharacteristic
460C4×D4×C53C2311yescharacteristic
461C4×D4×C53C2311yescharacteristic
462#117×C53—21no—
463#117×C53—21no—
464#117×C53—21no—
465#117×C53—21no—
466#117×C53—21no—
467#117×C53—21no—
468#117×C53—21no—
469#117×C53C2311yescharacteristic
470#117×C53C2311yescharacteristic
471#117×C53C2311yescharacteristic
472C2×C22⋊C4×C53—21no—
473C2×C22⋊C4×C53—21no—
474C2×C22⋊C4×C53—21no—
475C2×C22⋊C4×C53—21no—
476C2×C42×C53—21no—
477C2×C42×C53C2311yescharacteristic
478C24×C53—21no—
479#41×C53—41no—
480#41×C53—41no—
481C2×Q8×C53—21no—
482C2×Q8×C53—41no—
483C2×Q8×C53—41no—
484C2×Q8×C53C2×D411yescharacteristic
485C2×Q8×C53C2×D411yescharacteristic
486C2×Q8×C53C2×D411yescharacteristic
487C2×Q8×C53C2×D411yescharacteristic
488C2×Q8×C53C2411yescharacteristic
489C2×Q8×C53C2411yescharacteristic
490C2×Q8×C53C2411yescharacteristic
491C2×D4×C53—21no—
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—21no—
497C2×D4×C53—41no—
498C2×D4×C53—41no—
499C2×D4×C53C2411yescharacteristic
500C2×D4×C53C2411yescharacteristic
501C2×D4×C53C2411yescharacteristic
502C22×C4×C53—21no—
503C22×C4×C53—21no—
504C22×C4×C53—21no—
505C22×C4×C53—21no—
506C22×C4×C53—21no—
507C22×C4×C53—21no—
508C22×C4×C53—21no—
509C22×C4×C53—21no—
510C22×C4×C53C2×D411yescharacteristic
511C22×C4×C53C2×D411yescharacteristic
512C22×C4×C53C2411yescharacteristic
513C2×C22⋊D53—21no—
514C2×D212C2411yescharacteristic
515C2×C4×D53—21no—
516C2×C4×D53—21no—
517C2×C4×D53—21no—
518C2×Dic106—21no—
519C2×Dic106—21no—
520C2×Dic106—21no—
521C2×Dic106C2411yescharacteristic
522C2×Dic106C2411yescharacteristic
523C2×Dic106C2411yescharacteristic
524C4⋊C4×C53—21no—
525C4⋊C4×C53—21no—
526C4⋊C4×C53—21no—
527C4⋊C4×C53—21no—
528C4⋊C4×C53—21no—
529C4⋊C4×C53—21no—
530C4⋊C4×C53—21no—
531C4⋊C4×C53—21no—
532C4⋊C4×C53—21no—
533C4⋊C4×C53—21no—
534C4⋊C4×C53C2×D411yescharacteristic
535C4⋊C4×C53C2×D411yescharacteristic
536C4⋊C4×C53C2×D411yescharacteristic
537C4⋊C4×C53C2×D411yescharacteristic
538C4⋊C4×C53C2×D411yescharacteristic
539C4⋊C4×C53C2×D411yescharacteristic
540C4⋊C4×C53C2×D411yescharacteristic
541C4⋊C4×C53C2×D411yescharacteristic
542C4⋊C4×C53C2×D411yescharacteristic
543C4⋊C4×C53C2×D411yescharacteristic
544C4⋊C4×C53C2×D411yescharacteristic
545C4⋊C4×C53C2×D411yescharacteristic
546C4⋊C4×C53C2×D411yescharacteristic
547C4⋊C4×C53C2×D411yescharacteristic
548C4⋊C4×C53C2×D411yescharacteristic
549C4⋊C4×C53C2×D411yescharacteristic
550C4⋊C4×C53C2411yescharacteristic
551C4⋊C4×C53C2411yescharacteristic
552C22⋊C4×C53—21no—
553C22⋊C4×C53—21no—
554C22⋊C4×C53—21no—
555C22⋊C4×C53—21no—
556C22⋊C4×C53—21no—
557C22⋊C4×C53—21no—
558C22⋊C4×C53—21no—
559C22⋊C4×C53—21no—
560C22⋊C4×C53—21no—
561C22⋊C4×C53—21no—
562C22⋊C4×C53—21no—
563C22⋊C4×C53—21no—
564C22⋊C4×C53—21no—
565C22⋊C4×C53—21no—
566C22⋊C4×C53—21no—
567C22⋊C4×C53—21no—
568C22⋊C4×C53—21no—
569C22⋊C4×C53—21no—
570C22⋊C4×C53—21no—
571C22⋊C4×C53—21no—
572C22⋊C4×C53—21no—
573C22⋊C4×C53—21no—
574C22⋊C4×C53—21no—
575C22⋊C4×C53C2×D411yescharacteristic
576C22⋊C4×C53C2×D411yescharacteristic
577C22⋊C4×C53C2×D411yescharacteristic
578C22⋊C4×C53C2×D411yescharacteristic
579C42×C53—21no—
580C42×C53—21no—
581C42×C53—21no—
582C42×C53—21no—
583C42×C53—21no—
584C42×C53—21no—
585C42×C53—21no—
586C42×C53C2×D411yescharacteristic
587C42×C53C2×D411yescharacteristic
588C42×C53C2411yescharacteristic
589C42×C53C2411yescharacteristic
590C42×C53C2411yescharacteristic
591C42×C53C2411yescharacteristic
592C42×C53C2411yescharacteristic
593C42×C53C2411yescharacteristic
594C22⋊Dic53—21no—
595C22⋊Dic53—21no—
596C22⋊Dic53—21no—
597#11719925—41no—
598#11719925—41no—
599#11719925—41no—
600#11719925—41no—
601#11719925—41no—
602#11719925—41no—
603#11719925—41no—
604#11719925—41no—
605#11719925—41no—
606#11719924—41no—
607#11719924—41no—
608#11719924—41no—
609#11719923—41no—
610#11719923—41no—
611#11719923—41no—
612#11719923—41no—
613#11719923—41no—
614#11719923—41no—
615#11719923—41no—
616#11719923—41no—
617#11719923—41no—
618#11719922—41no—
619#11719922—41no—
620#11719922—41no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921—21no—
629#11719921—21no—
630#11719921—21no—
631C4⋊Dic53—21no—
632C4⋊Dic53—21no—
633C4⋊Dic53—21no—
634C4⋊Dic53—21no—
635C4⋊Dic53—21no—
636C4⋊Dic53—21no—
637C4⋊Dic53—21no—
638C4⋊Dic53—21no—
639C4⋊Dic53—21no—
640C4⋊Dic53C2411yescharacteristic
641C4⋊Dic53C2411yescharacteristic
642C4⋊Dic53C2411yescharacteristic
643C4⋊Dic53C2411yescharacteristic
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919—21no—
660#11719919—21no—
661#11719919—21no—
662C4×Dic53—21no—
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53—21no—
671C2×#88322C2411yescharacteristic
672C2×#88322C2411yescharacteristic
673C2×#88322C2411yescharacteristic
674C2×#88322C2411yescharacteristic
675C2×#88322C2411yescharacteristic
676C2×#88322C2411yescharacteristic
677C2×#88322C2411yescharacteristic
678C2×#88322C2411yescharacteristic
679C23×C53—21no—
680C23×C53—21no—
681C23×C53—21no—
682C23×C53—42no—
683C23×C53—81no—
684C23×C53—81no—
685C23×C53C22×D411yescharacteristic
686C22×D53—21no—
687Q8×C53—21no—
688Q8×C53—21no—
689Q8×C53—21no—
690Q8×C53—21no—
691Q8×C53—21no—
692Q8×C53—21no—
693Q8×C53—41no—
694Q8×C53—41no—
695Q8×C53—41no—
696Q8×C53—41no—
697Q8×C53—42no—
698D4×C53—21no—
699D4×C53—21no—
700D4×C53—21no—
701D4×C53—21no—
702D4×C53—21no—
703D4×C53—21no—
704D4×C53—42no—
705D4×C53—42no—
706D4×C53—81no—
707D4×C53—81no—
708D4×C53—81no—
709D4×C53—81no—
710C2×C4×C53—21no—
711C2×C4×C53—21no—
712C2×C4×C53—21no—
713C2×C4×C53—21no—
714C2×C4×C53—21no—
715C2×C4×C53—21no—
716C2×C4×C53—21no—
717C2×C4×C53—41no—
718C2×C4×C53—41no—
719C2×C4×C53—42no—
720C2×C4×C53—42no—
721C2×C4×C53—81no—
722C2×C4×C53—81no—
723C2×C4×C53—81no—
724C2×C4×C53—81no—
725C2×C4×C53—81no—
726C2×C4×C53—81no—
727C2×C4×C53C22×D411yescharacteristic
728C2×C4×C53C22×D411yescharacteristic
729C2×C4×C53C22×D411yescharacteristic
730C2×C4×C53C22×D411yescharacteristic
731C2×C4×C53C22×D411yescharacteristic
732C2×C4×C53C22×D411yescharacteristic
733C2×C4×C53C22×D411yescharacteristic
734C2×C4×C53C22×D411yescharacteristic
735C2×C4×C53C22×D411yescharacteristic
736C2×C4×C53C22×D411yescharacteristic
737C2×C4×C53C22×D411yescharacteristic
738C2×C4×C53C22×D411yescharacteristic
739C2×C4×C53C22×D411yescharacteristic
740C2×C4×C53C2511yescharacteristic
741C22⋊D53—81no—
742C2×Dic53—21no—
743C2×Dic53—21no—
744C2×Dic53—21no—
745C2×Dic53—21no—
746C2×Dic53—21no—
747C2×Dic53—21no—
748C2×Dic53—21no—
749D212—21no—
750D212—21no—
751C4×D53—42no—
752C4×D53—81no—
753C4×D53—81no—
754Dic106—21no—
755Dic106—21no—
756Dic106—21no—
757Dic106—21no—
758Dic106—21no—
759Dic106—21no—
760Dic106—81no—
761Dic106—81no—
762Dic106—81no—
763#88322—21no—
764#88322—21no—
765#88322—21no—
766#88322—21no—
767#88322—21no—
768#88322—21no—
769#88322—21no—
770#88322—21no—
771#61925—531nomaximal, Sylow
772C22×C53—21no—
773C22×C53—21no—
774C22×C53—21no—
775C22×C53—41no—
776C22×C53—41no—
777C22×C53—41no—
778C22×C53—41no—
779C22×C53—41no—
780C22×C53—41no—
781C22×C53—41no—
782C22×C53—41no—
783C22×C53—41no—
784C22×C53—162no—
785C22×C53C23×D411yescharacteristic
786C2×D53—41no—
787C2×D53—41no—
788C2×D53—41no—
789C4×C53—21no—
790C4×C53—21no—
791C4×C53—21no—
792C4×C53—21no—
793C4×C53—21no—
794C4×C53—21no—
795C4×C53—21no—
796C4×C53—21no—
797C4×C53—21no—
798C4×C53—21no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—41no—
803C4×C53—41no—
804C4×C53—41no—
805C4×C53—41no—
806C4×C53—41no—
807C4×C53#58511yescharacteristic
808C4×C53#58511yescharacteristic
809Dic53—41no—
810Dic53—41no—
811Dic53—41no—
812Dic53—41no—
813Dic53—41no—
814Dic53—41no—
815Dic53—41no—
816#3555—531no—
817#3510D5311yescharacteristic, complemented
818#3402—531no—
819#3402—531no—
820#3401—531no—
821#3401—531no—
822#3400—531no—
823#3398—531no—
824#3394—531no—
825#3393—531no—
826#3377—531no—
827#3376—531no—
828#3375—531no—
829#3371—531no—
830#3370—531no—
831#3369—531no—
832#3365—531no—
833#3364—531no—
834#3225—531no—
835#3224—531no—
836#3223—531no—
837#3222—531no—
838#3215—531no—
839#3211—531no—
840#3127—531no—
841#3123—531no—
842#3121—531no—
843#3118—531no—
844#3111—531no—
845#3107—531no—
846#2985—531no—
847C2×C53—41no—
848C2×C53—81no—
849C2×C53—81no—
850C2×C53—81no—
851C2×C53#348711yescharacteristic
852C2×C53#358411yescharacteristic
853C2×C53#358611yescharacteristic
854D53—81no—
855#563—1061no—
856#563—1061no—
857#559C2×D5311yescharacteristic
858#559C2×D5311yescharacteristic
859#559C2×D5311yescharacteristic
860#559C2×D5311yescharacteristic
861Q82—531no—
862#557—531no—
863#557—531no—
864#557—531no—
865#556—531no—
866#556—531no—
867#556—531no—
868#556—1061no—
869#556C2×D5311yescharacteristic
870#556C2×D5311yescharacteristic
871#556C2×D5311yescharacteristic
872#556C2×D5311yescharacteristic
873#554—531no—
874#552—1061no—
875#551—21no—
876#551—21no—
877#551—21no—
878#551—21no—
879#544—1061no—
880#542—21no—
881#542—21no—
882#542—531no—
883#542—531no—
884#541—531no—
885#541—531no—
886#541—1061no—
887#541—1061no—
888#541—1061no—
889#536C2×D5311yescharacteristic
890#535C2×D5311yescharacteristic
891#533—531no—
892#533C2×D5311yescharacteristic
893#529—21no—
894#529—21no—
895#529—531no—
896C2×#124C2×D5311yescharacteristic
897#519C2×D5311yescharacteristic
898#518C2×D5311yescharacteristic
899C4×#41C2×D5311yescharacteristic
900#497—531no—
901#497—531no—
902#497—531no—
903#497—531no—
904#497—531no—
905#496—531no—
906#495—531no—
907#495—531no—
908#495—531no—
909#495—531no—
910#494—531no—
911#492—531no—
912#491—531no—
913#490—531no—
914#489—531no—
915#489—531no—
916#489—531no—
917#489—531no—
918#488—531no—
919#488—531no—
920#488—531no—
921#488—531no—
922#487—531no—
923#486—531no—
924#485—531no—
925#485—531no—
926#485—531no—
927#482—531no—
928#479—531no—
929#479—531no—
930#479—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#477—531no—
935#476—531no—
936#475—531no—
937#475—531no—
938#474—531no—
939#474—531no—
940#464—531no—
941#464—531no—
942#464—531no—
943#464—531no—
944#464—531no—
945#464—531no—
946#464—531no—
947#464—531no—
948#464—531no—
949#464—531no—
950#464—531no—
951#464—531no—
952#464—531no—
953#464—531no—
954#464—531no—
955#463—531no—
956#463—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#462—531no—
963#462—531no—
964#462—531no—
965#462—531no—
966#462—531no—
967#462—531no—
968#461—531no—
969#461—531no—
970#461—531no—
971#461—531no—
972#460—531no—
973#460—531no—
974#460—531no—
975#459—531no—
976#452—531no—
977#452—531no—
978#452—531no—
979#451—531no—
980#451—531no—
981#451—531no—
982#450—531no—
983#450—531no—
984#450—531no—
985#449—531no—
986#448—531no—
987#447—531no—
988#446—531no—
989#446—531no—
990#446—531no—
991#446—531no—
992#446—531no—
993#446—531no—
994C8×Q8—531no—
995C8×Q8—531no—
996#442—531no—
997#442—531no—
998#441—531no—
999#441—531no—
1000#441—531no—
1001#441—531no—
1002#440—531no—
1003#440—531no—
1004#440—531no—
1005#440—531no—
1006#440—531no—
1007#440—531no—
1008C4×Q16—531no—
1009C4×Q16—531no—
1010C4×Q16—531no—
1011C4×Q16—531no—
1012C4×Q16—531no—
1013C4×SD16—531no—
1014C4×SD16—531no—
1015C4×SD16—531no—
1016C4×SD16—531no—
1017C4×SD16—531no—
1018C4×SD16—531no—
1019C4×D8—531no—
1020#433—531no—
1021#433—531no—
1022#433—531no—
1023#433—531no—
1024#432—531no—
1025#431—531no—
1026C53#6192511yescharacteristic, complemented, Sylow
1027C2×#41C22×D5311yescharacteristic
1028C22×Q8C22×D5311yescharacteristic
1029C22×D4C22×D5311yescharacteristic
1030C2×Q16—531no—
1031C2×Q16—531no—
1032C2×Q16—531no—
1033C2×Q16—531no—
1034C2×Q16—531no—
1035C2×Q16—531no—
1036C2×Q16—531no—
1037C2×Q16—531no—
1038C2×Q16—531no—
1039C2×SD16—531no—
1040C2×SD16—531no—
1041C2×SD16—531no—
1042C2×SD16—531no—
1043C2×SD16—531no—
1044C2×SD16—531no—
1045C2×SD16—531no—
1046C2×SD16—531no—
1047C2×SD16—531no—
1048C2×SD16—531no—
1049C2×SD16—531no—
1050C2×SD16—531no—
1051C2×D8—531no—
1052C2×D8—531no—
1053C2×D8—531no—
1054C4⋊Q8—531no—
1055C4⋊Q8—531no—
1056C4⋊Q8—531no—
1057C4⋊Q8—531no—
1058C4⋊Q8—531no—
1059C4⋊Q8—531no—
1060C4⋊Q8—1061no—
1061C4⋊Q8—1061no—
1062C4⋊Q8—1061no—
1063C4⋊Q8—1061no—
1064C4⋊Q8—1061no—
1065C4⋊Q8C22⋊D5311yescharacteristic
1066C4⋊Q8C22⋊D5311yescharacteristic
1067C4⋊Q8C22×D5311yescharacteristic
1068C4⋊Q8C22×D5311yescharacteristic
1069#127C22×D5311yescharacteristic
1070#127C22×D5311yescharacteristic
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—1061no—
1080#126—1061no—
1081#126—1061no—
1082#126—1061no—
1083#126—1061no—
1084#126—1061no—
1085#126—1061no—
1086#126—1061no—
1087#126—1061no—
1088#126—1061no—
1089#126—1061no—
1090#126—1061no—
1091#126—1061no—
1092#125—531no—
1093#125—531no—
1094#125—531no—
1095#125—1061no—
1096#125—1061no—
1097#125—1061no—
1098#125—1061no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#125—1061no—
1105#125—1061no—
1106#125—1061no—
1107#125C22⋊D5311yescharacteristic
1108#125C22⋊D5311yescharacteristic
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—531no—
1116#124—531no—
1117#124—531no—
1118#124—1061no—
1119#124—1061no—
1120#124C22×D5311yescharacteristic
1121#124C22×D5311yescharacteristic
1122#124C22×D5311yescharacteristic
1123#124C22×D5311yescharacteristic
1124#124C22×D5311yescharacteristic
1125#124C22×D5311yescharacteristic
1126#124C22×D5311yescharacteristic
1127#124C22×D5311yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—531no—
1148C22⋊Q8—531no—
1149C22⋊Q8—531no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154C22⋊Q8—1061no—
1155C22⋊Q8—1061no—
1156C22⋊Q8—1061no—
1157C22⋊Q8—1061no—
1158C22⋊Q8—1061no—
1159C22⋊Q8C22⋊D5311yescharacteristic
1160C22⋊Q8C22⋊D5311yescharacteristic
1161C22⋊Q8C22⋊D5311yescharacteristic
1162C22⋊Q8C22⋊D5311yescharacteristic
1163#121—21no—
1164#121—21no—
1165#121—531no—
1166#120—21no—
1167#120—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—531no—
1177C4×Q8—531no—
1178C4×Q8—531no—
1179C4×Q8—1061no—
1180C4×Q8—1061no—
1181C4×Q8—1061no—
1182C4×Q8—1061no—
1183C4×Q8—1061no—
1184C4×Q8C22×D5311yescharacteristic
1185C4×Q8C22×D5311yescharacteristic
1186C4×Q8C22×D5311yescharacteristic
1187C4×Q8C22×D5311yescharacteristic
1188C4×Q8C22×D5311yescharacteristic
1189C4×Q8C22×D5311yescharacteristic
1190C4×Q8C22×D5311yescharacteristic
1191C4×Q8C22×D5311yescharacteristic
1192C4×Q8C22×D5311yescharacteristic
1193C4×Q8C22×D5311yescharacteristic
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—531no—
1203C4×D4—531no—
1204C4×D4—531no—
1205C4×D4—1061no—
1206C4×D4C22×D5311yescharacteristic
1207C4×D4C22×D5311yescharacteristic
1208C4×D4C22×D5311yescharacteristic
1209C4×D4C22×D5311yescharacteristic
1210C4×D4C22×D5311yescharacteristic
1211C4×D4C22×D5311yescharacteristic
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—1061no—
1220#117—1061no—
1221#117—1061no—
1222#117—1061no—
1223#117—1061no—
1224#117C22×D5311yescharacteristic
1225#117C22×D5311yescharacteristic
1226#117C22×D5311yescharacteristic
1227C2×C4⋊C4—1061no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C42—21no—
1233C2×C42C22×D5311yescharacteristic
1234#107—531no—
1235#107—531no—
1236#107—531no—
1237#107—531no—
1238#106—531no—
1239#106—531no—
1240#106—531no—
1241#106—531no—
1242C4⋊C8—531no—
1243C4⋊C8—531no—
1244C4⋊C8—531no—
1245C4⋊C8—531no—
1246C4⋊C8—531no—
1247C4⋊C8—531no—
1248C4⋊C8—531no—
1249C4⋊C8—531no—
1250C4⋊C8—531no—
1251C4⋊C8—531no—
1252C4⋊C8—531no—
1253C4⋊C8—531no—
1254#103—531no—
1255#103—531no—
1256#103—531no—
1257#103—531no—
1258#103—531no—
1259#103—531no—
1260#103—531no—
1261#103—531no—
1262#103—531no—
1263#103—531no—
1264#103—531no—
1265#103—531no—
1266#103—531no—
1267#103—531no—
1268#103—531no—
1269#103—531no—
1270#103—531no—
1271#103—531no—
1272#102—531no—
1273#102—531no—
1274#102—531no—
1275#102—531no—
1276#102—531no—
1277#102—531no—
1278#102—531no—
1279#102—531no—
1280#102—531no—
1281#102—531no—
1282#102—531no—
1283#102—531no—
1284#102—531no—
1285#102—531no—
1286C22⋊C8—531no—
1287C22⋊C8—531no—
1288C22⋊C8—531no—
1289C22⋊C8—531no—
1290#97—531no—
1291#97—531no—
1292#97—531no—
1293#97—531no—
1294#97—531no—
1295#97—531no—
1296C4×C8—531no—
1297C4×C8—531no—
1298C4×C8—531no—
1299C4×C8—531no—
1300C4×C8—531no—
1301C4×C8—531no—
1302C24—21no—
1303#41—41no—
1304#41—41no—
1305C2×Q8—21no—
1306C2×Q8—41no—
1307C2×Q8—41no—
1308C2×Q8—531no—
1309C2×Q8—531no—
1310C2×Q8—531no—
1311C2×Q8—1061no—
1312C2×Q8—1061no—
1313C2×Q8—1061no—
1314C2×Q8C2×C22⋊D5311yescharacteristic
1315C2×Q8C2×C22⋊D5311yescharacteristic
1316C2×Q8C2×C22⋊D5311yescharacteristic
1317C2×Q8C2×C22⋊D5311yescharacteristic
1318C2×Q8C23×D5311yescharacteristic
1319C2×Q8C23×D5311yescharacteristic
1320C2×Q8C23×D5311yescharacteristic
1321C2×D4—21no—
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—531no—
1330C2×D4—1061no—
1331C2×D4C23×D5311yescharacteristic
1332C2×D4C23×D5311yescharacteristic
1333C2×D4C23×D5311yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—1061no—
1343C22×C4—1061no—
1344C22×C4—1061no—
1345C22×C4C2×C22⋊D5311yescharacteristic
1346C22×C4C2×C22⋊D5311yescharacteristic
1347C22×C4C23×D5311yescharacteristic
1348Q16—2121no—
1349Q16—2121no—
1350Q16—2121no—
1351Q16—2121no—
1352Q16—2121no—
1353Q16—2121no—
1354Q16—2121no—
1355Q16—2121no—
1356Q16—2121no—
1357SD16—2121no—
1358SD16—2121no—
1359SD16—2121no—
1360SD16—2121no—
1361SD16—2121no—
1362SD16—2121no—
1363SD16—2121no—
1364SD16—2121no—
1365SD16—2121no—
1366SD16—2121no—
1367SD16—2121no—
1368SD16—2121no—
1369D8—2121no—
1370D8—2121no—
1371D8—2121no—
1372C2×C8—531no—
1373C2×C8—531no—
1374C2×C8—531no—
1375C2×C8—531no—
1376C2×C8—531no—
1377C2×C8—531no—
1378C2×C8—531no—
1379C2×C8—531no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—531no—
1391C4⋊C4—531no—
1392C4⋊C4—531no—
1393C4⋊C4—531no—
1394C4⋊C4—1061no—
1395C4⋊C4—1061no—
1396C4⋊C4—1061no—
1397C4⋊C4—1061no—
1398C4⋊C4—1061no—
1399C4⋊C4—1061no—
1400C4⋊C4—1061no—
1401C4⋊C4—1061no—
1402C4⋊C4—1061no—
1403C4⋊C4—1061no—
1404C4⋊C4—1061no—
1405C4⋊C4—1061no—
1406C4⋊C4—1061no—
1407C4⋊C4—1061no—
1408C4⋊C4—1061no—
1409C4⋊C4—1061no—
1410C4⋊C4—1061no—
1411C4⋊C4—1061no—
1412C4⋊C4—1061no—
1413C4⋊C4—1061no—
1414C4⋊C4—1061no—
1415C4⋊C4—1061no—
1416C4⋊C4—1061no—
1417C4⋊C4—1061no—
1418C4⋊C4—1061no—
1419C4⋊C4—1061no—
1420C4⋊C4—1061no—
1421C4⋊C4C2×C22⋊D5311yescharacteristic
1422C4⋊C4C2×C22⋊D5311yescharacteristic
1423C4⋊C4C2×C22⋊D5311yescharacteristic
1424C4⋊C4C2×C22⋊D5311yescharacteristic
1425C4⋊C4C2×C22⋊D5311yescharacteristic
1426C4⋊C4C2×C22⋊D5311yescharacteristic
1427C4⋊C4C2×C22⋊D5311yescharacteristic
1428C4⋊C4C2×C22⋊D5311yescharacteristic
1429C4⋊C4C2×C22⋊D5311yescharacteristic
1430C4⋊C4C2×C22⋊D5311yescharacteristic
1431C4⋊C4C2×C22⋊D5311yescharacteristic
1432C4⋊C4C2×C22⋊D5311yescharacteristic
1433C4⋊C4C2×C22⋊D5311yescharacteristic
1434C4⋊C4C2×C22⋊D5311yescharacteristic
1435C4⋊C4C2×C22⋊D5311yescharacteristic
1436C4⋊C4C2×C22⋊D5311yescharacteristic
1437C4⋊C4C23×D5311yescharacteristic
1438C4⋊C4C23×D5311yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—1061no—
1463C22⋊C4—1061no—
1464C22⋊C4—1061no—
1465C22⋊C4—1061no—
1466C22⋊C4—1061no—
1467C22⋊C4—1061no—
1468C22⋊C4—1061no—
1469C22⋊C4—1061no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4C2×C22⋊D5311yescharacteristic
1476C22⋊C4C2×C22⋊D5311yescharacteristic
1477C22⋊C4C2×C22⋊D5311yescharacteristic
1478C22⋊C4C2×C22⋊D5311yescharacteristic
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—1061no—
1487C42—1061no—
1488C42—1061no—
1489C42—1061no—
1490C42—1061no—
1491C42—1061no—
1492C42—1061no—
1493C42—1061no—
1494C42—1061no—
1495C42C2×C22⋊D5311yescharacteristic
1496C42C2×C22⋊D5311yescharacteristic
1497C42C23×D5311yescharacteristic
1498C42C23×D5311yescharacteristic
1499C42C23×D5311yescharacteristic
1500C42C23×D5311yescharacteristic
1501C42C23×D5311yescharacteristic
1502C42C23×D5311yescharacteristic
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—42no—
1507C23—81no—
1508C23—81no—
1509C23—1061no—
1510C23C22×C22⋊D5311yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—41no—
1518Q8—41no—
1519Q8—41no—
1520Q8—41no—
1521Q8—42no—
1522Q8—1061no—
1523Q8—1061no—
1524Q8—1061no—
1525Q8—1061no—
1526Q8—1061no—
1527Q8—1061no—
1528Q8—4241no—
1529Q8—4241no—
1530Q8—4241no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—42no—
1538D4—42no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—1061no—
1544D4—1061no—
1545D4—4241no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—42no—
1556C2×C4—42no—
1557C2×C4—81no—
1558C2×C4—81no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—1061no—
1564C2×C4—1061no—
1565C2×C4—1061no—
1566C2×C4—1061no—
1567C2×C4—1061no—
1568C2×C4—1061no—
1569C2×C4—1061no—
1570C2×C4—4241no—
1571C2×C4—4241no—
1572C2×C4—2122no—
1573C2×C4C22×C22⋊D5311yescharacteristic
1574C2×C4C22×C22⋊D5311yescharacteristic
1575C2×C4C22×C22⋊D5311yescharacteristic
1576C2×C4C22×C22⋊D5311yescharacteristic
1577C2×C4C22×C22⋊D5311yescharacteristic
1578C2×C4C22×C22⋊D5311yescharacteristic
1579C2×C4C22×C22⋊D5311yescharacteristic
1580C2×C4C22×C22⋊D5311yescharacteristic
1581C2×C4C22×C22⋊D5311yescharacteristic
1582C2×C4C22×C22⋊D5311yescharacteristic
1583C2×C4C22×C22⋊D5311yescharacteristic
1584C2×C4C22×C22⋊D5311yescharacteristic
1585C2×C4C22×C22⋊D5311yescharacteristic
1586C2×C4C24×D5311yescharacteristic
1587C8—1061no—
1588C8—1061no—
1589C8—1061no—
1590C8—1061no—
1591C8—1061no—
1592C8—1061no—
1593C8—1061no—
1594C8—1061no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—162no—
1608C22—2121no—
1609C22—2121no—
1610C22—2121no—
1611C22C23×C22⋊D5311yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—2121no—
1631C4—2121no—
1632C4—2121no—
1633C4—2121no—
1634C4—2121no—
1635C4—2121no—
1636C4—2121no—
1637C4#1681145911yescharacteristic
1638C4#1681145911yescharacteristic
1639C2—41no—
1640C2—81no—
1641C2—81no—
1642C2—81no—
1643C2—4241no—
1644C2#2028837311yescharacteristic
1645C2#2028948611yescharacteristic
1646C2#2028950111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3510C2
socleC22×C53C23×D4
prime radical#20285809C2
hypercenter#3510D53
hypocenterC53#61925
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #533 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #20289203C2semidirect
2. #20287790C2semidirect
3. #20287790C2semidirect
4. #20287775C2semidirect
5. #20287775C2semidirect
6. #20287768C2semidirect
7. #20287746C2semidirect
8. #20287707C2semidirect
9. #20287699C2semidirect
10. #20287551C2semidirect
11. #20287536C2semidirect
12. #20287525C2semidirect
13. #20287477C2semidirect
14. #20287462C2semidirect
15. #20287451C2semidirect
16. #20287407C2semidirect
17. #20287396C2semidirect
18. #20285824C2semidirect
20. #20285798C2semidirect
21. #20285787C2semidirect
22. #20285718C2semidirect
23. #20285680C2semidirect
24. #20285015C2semidirect
25. #20284967C2semidirect
26. #20284944C2semidirect
27. #20284899C2semidirect
28. #20284824C2semidirect
29. #20284786C2semidirect
30. #20283810C2semidirect
31. C53×#3510C2semidirect
34. Q8×Dic106C22semidirect
35. #16811352C22semidirect
36. #16811351C22semidirect
37. #16811351C22semidirect
38. #16811346C22semidirect
39. #16811346C22semidirect
40. #16811346C22semidirect
42. #16811333C22semidirect
57. #16811018C22semidirect
58. #16811015C22semidirect
63. #16811005C22semidirect
64. #16811002C22semidirect
66. #16810991C22semidirect
71. #16810982C22semidirect
75. #16810977C22semidirect
76. #16810973C22semidirect
82. #16810930C22semidirect
83. #16810930C22semidirect
84. #16810930C22semidirect
87. #16810923C22semidirect
88. #16810918C22semidirect
90. #16810908C22semidirect
91. #16810908C22semidirect
93. #16810903C22semidirect
94. #16810845C22semidirect
95. #16810845C22semidirect
96. #16810845C22semidirect
106. #16810842C22semidirect
107. #16810842C22semidirect
108. #16810842C22semidirect
111. #16810838C22semidirect
115. #16810835C22semidirect
116. #16810833C22semidirect
117. #16810833C22semidirect
118. #16810833C22semidirect
119. #16810830C22semidirect
120. #16810830C22semidirect
121. #16810830C22semidirect
124. #16810828C22semidirect
125. #16810825C22semidirect
142. #16810754C22semidirect
143. #16810754C22semidirect
144. #16810754C22semidirect
145. #16810754C22semidirect
146. #16810754C22semidirect
147. #16810754C22semidirect
148. Q8×#88322C22semidirect
149. Q8×#88322C22semidirect
151. #16810733C22semidirect
152. #16810728C22semidirect
153. #16810728C22semidirect
154. #16810728C22semidirect
155. #16810728C22semidirect
159. #16810723C22semidirect
160. #16810721C22semidirect
161. #16810721C22semidirect
162. C4×#11719925C22semidirect
163. C4×#11719925C22semidirect
164. C4×#11719925C22semidirect
165. C4×#11719925C22semidirect
166. C4×#11719925C22semidirect
167. C4×#11719924C22semidirect
171. C4×#11719923C22semidirect
172. C4×#11719923C22semidirect
817. #3510D53semidirect
1026. C53#61925semidirect

Maximal subgroups

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

subgroupindex
#202892032
#202877902
#202877752
#202877682
#202877462
#202877072
#202876992
#202875512
#202875362
#202875252
#202874772
#202874622
#202874512
#202874072
#202873962
#202858242
#202858092
#202857982
#202857872
#202857182
#202856802
#202850152
#202849672
#202849442
#202848992
#202848242
#202847862
#202838102
C53×#35102
#6192553