Finite Group Databasebeta

← #28274543

Subgroups — #28274543

Order 13568.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288516C211yesmaximal, characteristic, complemented
2#20287669C211yesmaximal, characteristic, complemented
3#20287669C211yesmaximal, characteristic, complemented
4#20287654C211yesmaximal, characteristic, complemented
5#20287654C211yesmaximal, characteristic, complemented
6#20287632C211yesmaximal, characteristic, complemented
7#20287614C211yesmaximal, characteristic, complemented
8#20287586C211yesmaximal, characteristic, complemented
9#20287578C211yesmaximal, characteristic, complemented
10#20287536C211yesmaximal, characteristic, complemented
11#20287536C211yesmaximal, characteristic, complemented
12#20287503C211yesmaximal, characteristic, complemented
13#20287462C211yesmaximal, characteristic, complemented
14#20287462C211yesmaximal, characteristic, complemented
15#20287429C211yesmaximal, characteristic, complemented
16#20287371C211yesmaximal, characteristic, complemented
17#20287360C211yesmaximal, characteristic, complemented
18#20286007C211yesmaximal, characteristic, complemented
19#20285992C211yesmaximal, characteristic, complemented
20#20285977C211yesmaximal, characteristic, complemented
21#20285962C211yesmaximal, characteristic, complemented
22#20285951C211yesmaximal, characteristic, complemented
23#20285890C211yesmaximal, characteristic, complemented
24#20284962C211yesmaximal, characteristic, complemented
25#20284953C211yesmaximal, characteristic
26#20284893C211yesmaximal, characteristic, complemented
27#20284893C211yesmaximal, characteristic, complemented
28#20284849C211yesmaximal, characteristic, complemented
29#20284758C211yesmaximal, characteristic, complemented
30#20283810C211yesmaximal, characteristic, complemented
31C53×#3557C211yesmaximal, characteristic, complemented
32#16811334—21no—
33#16811333C2211yescharacteristic
34#16811333C2211yescharacteristic
35#16811333C2211yescharacteristic
36#16811333C2211yescharacteristic
37#16811333C2211yescharacteristic
38#16811333C2211yescharacteristic
39#16811329—21no—
40#16811329—21no—
41Q8×D212C2211yescharacteristic
42Q8×D212C2211yescharacteristic
43#16811288—21no—
44#16811251C2211yescharacteristic
45#16811251C2211yescharacteristic
46#16811248—21no—
47#16811248—21no—
48#16811180C2211yescharacteristic
49C22⋊Q8×D53—21no—
50C22⋊Q8×D53—21no—
51#16811097C2211yescharacteristic
52#16811097C2211yescharacteristic
53C2×C4×D212C2211yescharacteristic
54#16811033C2211yescharacteristic, complemented
55#16811033C2211yescharacteristic, complemented
56#16811033C2211yescharacteristic, complemented
57#16811033C2211yescharacteristic, complemented
58#16811029C2211yescharacteristic, complemented
59#16811029C2211yescharacteristic, complemented
60#16811026C2211yescharacteristic, complemented
61#16811022C2211yescharacteristic, complemented
62#16811022C2211yescharacteristic, complemented
63#16811022C2211yescharacteristic, complemented
64#16811022C2211yescharacteristic, complemented
65#16811019C2211yescharacteristic, complemented
66#16810991C2211yescharacteristic, complemented
67#16810987C2211yescharacteristic, complemented
68#16810982C2211yescharacteristic, complemented
69#16810982C2211yescharacteristic, complemented
70#16810982C2211yescharacteristic, complemented
71#16810982C2211yescharacteristic, complemented
72#16810977C2211yescharacteristic, complemented
73#16810977C2211yescharacteristic, complemented
74#16810977C2211yescharacteristic, complemented
75#16810977C2211yescharacteristic, complemented
76#16810973C2211yescharacteristic, complemented
77#16810969C2211yescharacteristic, complemented
78#16810961C2211yescharacteristic
79#16810961C2211yescharacteristic
80#16810961C2211yescharacteristic
81#16810961C2211yescharacteristic
82#16810956C2211yescharacteristic
83#16810951C2211yescharacteristic
84#16810944C2211yescharacteristic
85#16810944C2211yescharacteristic
86#16810944C2211yescharacteristic
87#16810944C2211yescharacteristic
88#16810939C2211yescharacteristic
89#16810934C2211yescharacteristic
90#16810930C2211yescharacteristic, complemented
91#16810930C2211yescharacteristic, complemented
92#16810930C2211yescharacteristic, complemented
93#16810930C2211yescharacteristic, complemented
94#16810930C2211yescharacteristic, complemented
95#16810930C2211yescharacteristic, complemented
96#16810923C2211yescharacteristic, complemented
97#16810923C2211yescharacteristic, complemented
98#16810923C2211yescharacteristic, complemented
99#16810923C2211yescharacteristic, complemented
100#16810923C2211yescharacteristic, complemented
101#16810923C2211yescharacteristic, complemented
102#16810920C2211yescharacteristic
103#16810920C2211yescharacteristic
104#16810920C2211yescharacteristic
105#16810920C2211yescharacteristic
106#16810920C2211yescharacteristic
107#16810920C2211yescharacteristic
108#16810920C2211yescharacteristic
109#16810920C2211yescharacteristic
110#16810918C2211yescharacteristic, complemented
111#16810918C2211yescharacteristic, complemented
112#16810918C2211yescharacteristic, complemented
113#16810913C2211yescharacteristic, complemented
114#16810913C2211yescharacteristic, complemented
115#16810913C2211yescharacteristic, complemented
116#16810910C2211yescharacteristic
117#16810910C2211yescharacteristic
118#16810908C2211yescharacteristic, complemented
119#16810908C2211yescharacteristic, complemented
120#16810908C2211yescharacteristic, complemented
121#16810903C2211yescharacteristic, complemented
122#16810903C2211yescharacteristic, complemented
123#16810903C2211yescharacteristic, complemented
124#16810900C2211yescharacteristic
125#16810900C2211yescharacteristic
126#16810835C2211yescharacteristic
127#16810835C2211yescharacteristic
128#16810835C2211yescharacteristic
129#16810835C2211yescharacteristic
130#16810835C2211yescharacteristic
131#16810835C2211yescharacteristic
132#16810835C2211yescharacteristic
133#16810835C2211yescharacteristic
134#16810825C2211yescharacteristic
135#16810825C2211yescharacteristic
136#16810815C2211yescharacteristic
137#16810815C2211yescharacteristic
138#16810773C2211yescharacteristic
139#16810773C2211yescharacteristic
140#16810756C2211yescharacteristic
141#16810756C2211yescharacteristic
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
152#16810733C2211yescharacteristic
153#16810733C2211yescharacteristic
154#16810733C2211yescharacteristic
155#16810733C2211yescharacteristic
156#16810721C2211yescharacteristic
157#16810721C2211yescharacteristic
158#16810721C2211yescharacteristic
159#16810721C2211yescharacteristic
160#16810721C2211yescharacteristic
161#16810721C2211yescharacteristic
162C4×#11719924C2211yescharacteristic
163C4×#11719924C2211yescharacteristic
164C4×#11719924C2211yescharacteristic
165C4×#11719924C2211yescharacteristic
166C4×#11719924C2211yescharacteristic
167C4×#11719924C2211yescharacteristic
168C4×#11719922C2211yescharacteristic
169C4×#11719922C2211yescharacteristic
170C4×#11719922C2211yescharacteristic
171C4×#11719922C2211yescharacteristic
172C4×#11719922C2211yescharacteristic
173C4×#11719922C2211yescharacteristic
174#16810684C2211yescharacteristic
175#16810684C2211yescharacteristic
176#16810684C2211yescharacteristic
177#16810684C2211yescharacteristic
178#16810680C2211yescharacteristic
179#16810676C2211yescharacteristic
180C53×#563—21no—
181C53×#563—21no—
182C53×#559C2211yescharacteristic, complemented
183C53×#559C2211yescharacteristic, complemented
184C53×#557C2211yescharacteristic, complemented
185C53×#557C2211yescharacteristic, complemented
186C53×#556C2211yescharacteristic, complemented
187C53×#556C2211yescharacteristic, complemented
188C53×#554C2211yescharacteristic, complemented
189C53×#554C2211yescharacteristic, complemented
190C53×#552—21no—
191C53×#552—21no—
192C53×#542—21no—
193C53×#542—21no—
194C53×#542C2211yescharacteristic
195C53×#542C2211yescharacteristic
196C53×#541C2211yescharacteristic
197C53×#540C2211yescharacteristic
198C53×#539—21no—
199C53×#539—21no—
200C53×#533C2211yescharacteristic
201C53×#529C2211yescharacteristic
202C53×#529C2211yescharacteristic
203C2×Q8×D53—21no—
204C2×Q8×D53—21no—
205C22×D212C2311yescharacteristic
206C22×C4×D53—21no—
207C2×#11719924C2311yescharacteristic
208C2×#11719924C2311yescharacteristic
209C2×#11719924C2311yescharacteristic
210C2×#11719924C2311yescharacteristic
211C2×#11719922C2311yescharacteristic
212C2×#11719922C2311yescharacteristic
213C2×#11719922C2311yescharacteristic
214C2×#11719922C2311yescharacteristic
215#13133217C2311yescharacteristic
216#13133217C2311yescharacteristic
217#13133217C2311yescharacteristic
218#13133217C2311yescharacteristic
219#13133217C2311yescharacteristic
220#13133217C2311yescharacteristic
221#13133216—21no—
222#13133216—21no—
223#13133209C2311yescharacteristic
224#13133209C2311yescharacteristic
225#13133209C2311yescharacteristic
226#13133209C2311yescharacteristic
227#13133209C2311yescharacteristic
228#13133209C2311yescharacteristic
229#13133208—21no—
230#13133208—21no—
231#13133197—21no—
232#13133197—21no—
233#13133197—21no—
234#13133197—21no—
235#13133197—21no—
236#13133197—21no—
237#13133196—21no—
238#13133196—21no—
239#13133195—21no—
240#13133195—21no—
241#13133195—21no—
242#13133195—21no—
243#13133195—21no—
244#13133195—21no—
245#13133195—21no—
246#13133195—21no—
247#13133195—21no—
248#13133195—21no—
249#13133195—21no—
250#13133195—21no—
251#13133194—21no—
252#13133194—21no—
253#13133194—21no—
254#13133194—21no—
255#13133193—21no—
256#13133193—21no—
257#13133193—21no—
258#13133193—21no—
259#13133193—21no—
260#13133193—21no—
261C4×Dic106—21no—
262C4×Dic106—21no—
263C4×D212—21no—
264C4×D212—21no—
265C4×D212C2311yescharacteristic
266C4×D212C2311yescharacteristic
267C4×D212C2311yescharacteristic
268C4×D212C2311yescharacteristic
269C4×D212C2311yescharacteristic
270C4×D212C2311yescharacteristic
271C4×D212C2311yescharacteristic
272C4×D212C2311yescharacteristic
273C4×D212C2311yescharacteristic
274C4×D212C2311yescharacteristic
275C4×D212C2311yescharacteristic
276C4×D212C2311yescharacteristic
277#13133179—21no—
278#13133179—21no—
279#13133179—21no—
280#13133179—21no—
281#13133176C2311yescharacteristic
282#13133176C2311yescharacteristic
283C2×C4⋊Dic53C2311yescharacteristic
284C4⋊C4×D53—21no—
285C4⋊C4×D53—21no—
286C4⋊C4×D53—21no—
287C4⋊C4×D53—21no—
288C4⋊C4×D53—21no—
289C4⋊C4×D53—21no—
290C2×#11719921—21no—
291C22⋊C4×D53—21no—
292C22⋊C4×D53—21no—
293C22⋊C4×D53—21no—
294C22⋊C4×D53—21no—
295#13133150C2311yescharacteristic
296#13133150C2311yescharacteristic
297#13133150C2311yescharacteristic
298#13133150C2311yescharacteristic
299#13133150C2311yescharacteristic
300#13133150C2311yescharacteristic
301#13133150C2311yescharacteristic
302#13133150C2311yescharacteristic
303#13133150C2311yescharacteristic
304#13133150C2311yescharacteristic
305#13133150C2311yescharacteristic
306#13133150C2311yescharacteristic
307#13133148C2311yescharacteristic
308#13133148C2311yescharacteristic
309#13133148C2311yescharacteristic
310#13133148C2311yescharacteristic
311#13133148C2311yescharacteristic
312#13133148C2311yescharacteristic
313#13133148C2311yescharacteristic
314#13133148C2311yescharacteristic
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#13133138C2311yescharacteristic
344#13133138C2311yescharacteristic
345#13133138C2311yescharacteristic
346#13133138C2311yescharacteristic
347#13133138C2311yescharacteristic
348#13133138C2311yescharacteristic
349#13133138C2311yescharacteristic
350#13133138C2311yescharacteristic
351#13133138C2311yescharacteristic
352#13133138C2311yescharacteristic
353#13133138C2311yescharacteristic
354#13133138C2311yescharacteristic
355#13133137C2311yescharacteristic
356#13133137C2311yescharacteristic
357#13133137C2311yescharacteristic
358#13133137C2311yescharacteristic
359#13133137C2311yescharacteristic
360#13133137C2311yescharacteristic
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
379C4⋊Q8×C53—21no—
380C4⋊Q8×C53—21no—
381C4⋊Q8×C53D411yescharacteristic
382C4⋊Q8×C53D411yescharacteristic
383C4⋊Q8×C53C2311yescharacteristic
384C4⋊Q8×C53C2311yescharacteristic
385C4⋊Q8×C53C2311yescharacteristic
386#127×C53C2311yescharacteristic
387#126×C53—21no—
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#126×C53—21no—
397#125×C53—21no—
398#125×C53—21no—
399#125×C53—21no—
400#125×C53—21no—
401#125×C53—21no—
402#125×C53—21no—
403#125×C53D411yescharacteristic
404#125×C53D411yescharacteristic
405#125×C53C2311yescharacteristic
406#125×C53C2311yescharacteristic
407#125×C53C2311yescharacteristic
408#125×C53C2311yescharacteristic
409#124×C53—21no—
410#124×C53—21no—
411#124×C53—21no—
412#124×C53—21no—
413#124×C53C2311yescharacteristic
414#124×C53C2311yescharacteristic
415#124×C53C2311yescharacteristic
416#124×C53C2311yescharacteristic
417#123×C53—21no—
418#123×C53—21no—
419#123×C53—21no—
420#123×C53—21no—
421#123×C53—21no—
422#123×C53—21no—
423#123×C53—21no—
424#123×C53—21no—
425#123×C53—21no—
426#123×C53—21no—
427C22⋊Q8×C53—21no—
428C22⋊Q8×C53—21no—
429C22⋊Q8×C53—21no—
430C22⋊Q8×C53—21no—
431C22⋊Q8×C53—21no—
432C22⋊Q8×C53—21no—
433C22⋊Q8×C53—21no—
434C22⋊Q8×C53—21no—
435C22⋊Q8×C53—21no—
436C22⋊Q8×C53—21no—
437C22⋊Q8×C53D411yescharacteristic
438C22⋊Q8×C53D411yescharacteristic
439C22⋊Q8×C53D411yescharacteristic
440C22⋊Q8×C53D411yescharacteristic
441C22⋊Q8×C53C2311yescharacteristic
442C22⋊Q8×C53C2311yescharacteristic
443#121×C53—21no—
444#121×C53—21no—
445#121×C53C2311yescharacteristic
446#121×C53C2311yescharacteristic
447C4×Q8×C53—21no—
448C4×Q8×C53—21no—
449C4×Q8×C53C2311yescharacteristic
450C4×Q8×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×Q8×C53C2311yescharacteristic
453C4×Q8×C53C2311yescharacteristic
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456C4×Q8×C53C2311yescharacteristic
457C4×Q8×C53C2311yescharacteristic
458C4×Q8×C53C2311yescharacteristic
459C4×D4×C53—21no—
460C4×D4×C53—21no—
461C4×D4×C53—21no—
462C4×D4×C53—21no—
463C4×D4×C53C2311yescharacteristic
464C4×D4×C53C2311yescharacteristic
465C4×D4×C53C2311yescharacteristic
466C4×D4×C53C2311yescharacteristic
467C4×D4×C53C2311yescharacteristic
468C4×D4×C53C2311yescharacteristic
469#117×C53—21no—
470#117×C53—21no—
471#117×C53—21no—
472#117×C53—21no—
473#117×C53C2311yescharacteristic
474#117×C53C2311yescharacteristic
475C2×C4⋊C4×C53—21no—
476C2×C4⋊C4×C53—21no—
477C2×C42×C53C2311yescharacteristic
478C23×D53—21no—
479C2×Q8×C53—21no—
480C2×Q8×C53—21no—
481C2×Q8×C53C2×D411yescharacteristic
482C2×Q8×C53C2×D411yescharacteristic
483C2×Q8×C53C2×D411yescharacteristic
484C2×Q8×C53C2×D411yescharacteristic
485C2×Q8×C53C2411yescharacteristic
486C2×Q8×C53C2411yescharacteristic
487C2×D4×C53—21no—
488C2×D4×C53—21no—
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53C2411yescharacteristic
492C2×D4×C53C2411yescharacteristic
493C22×C4×C53—21no—
494C22×C4×C53—21no—
495C22×C4×C53—21no—
496C22×C4×C53—21no—
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53C2×D411yescharacteristic
500C22×C4×C53C2×D411yescharacteristic
501C22×C4×C53C2411yescharacteristic
502C22×Dic53—21no—
503Q8×D53—82no—
504Q8×D53—82no—
505C2×D212—21no—
506C2×D212—22no—
507C2×D212—22no—
508C2×D212C2411yescharacteristic
509C2×D212C2411yescharacteristic
510C2×C4×D53—21no—
511C2×C4×D53—21no—
512C2×C4×D53—21no—
513C2×C4×D53—21no—
514C2×C4×D53—21no—
515C2×C4×D53—21no—
516C2×C4×D53—21no—
517C2×C4×D53—21no—
518C2×C4×D53—21no—
519C2×C4×D53—21no—
520C2×C4×D53—21no—
521C2×C4×D53—21no—
522C2×C4×D53—82no—
523C2×Dic106—21no—
524C2×Dic106—21no—
525C2×Dic106—21no—
526C2×Dic106—21no—
527C2×Dic106—21no—
528C2×Dic106—21no—
529C4⋊C4×C53—21no—
530C4⋊C4×C53—21no—
531C4⋊C4×C53—21no—
532C4⋊C4×C53—21no—
533C4⋊C4×C53—21no—
534C4⋊C4×C53—21no—
535C4⋊C4×C53—21no—
536C4⋊C4×C53—21no—
537C4⋊C4×C53—21no—
538C4⋊C4×C53—21no—
539C4⋊C4×C53—21no—
540C4⋊C4×C53—21no—
541C4⋊C4×C53—21no—
542C4⋊C4×C53—21no—
543C4⋊C4×C53—21no—
544C4⋊C4×C53—21no—
545C4⋊C4×C53—21no—
546C4⋊C4×C53—21no—
547C4⋊C4×C53—21no—
548C4⋊C4×C53—21no—
549C4⋊C4×C53C2×D411yescharacteristic
550C4⋊C4×C53C2×D411yescharacteristic
551C4⋊C4×C53C2×D411yescharacteristic
552C4⋊C4×C53C2×D411yescharacteristic
553C4⋊C4×C53C2×D411yescharacteristic
554C4⋊C4×C53C2×D411yescharacteristic
555C4⋊C4×C53C2×D411yescharacteristic
556C4⋊C4×C53C2×D411yescharacteristic
557C4⋊C4×C53C2×D411yescharacteristic
558C4⋊C4×C53C2×D411yescharacteristic
559C4⋊C4×C53C2×D411yescharacteristic
560C4⋊C4×C53C2×D411yescharacteristic
561C4⋊C4×C53C2×D411yescharacteristic
562C4⋊C4×C53C2×D411yescharacteristic
563C4⋊C4×C53C2×D411yescharacteristic
564C4⋊C4×C53C2×D411yescharacteristic
565C4⋊C4×C53C2411yescharacteristic
566C4⋊C4×C53C2411yescharacteristic
567C4⋊C4×C53C2411yescharacteristic
568C4⋊C4×C53C2411yescharacteristic
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×C53—21no—
576C22⋊C4×C53—21no—
577C22⋊C4×C53—21no—
578C22⋊C4×C53—21no—
579C22⋊C4×C53—21no—
580C22⋊C4×C53—21no—
581C22⋊C4×C53—21no—
582C22⋊C4×C53—21no—
583C22⋊C4×C53—21no—
584C22⋊C4×C53—21no—
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53C2×D411yescharacteristic
588C22⋊C4×C53C2×D411yescharacteristic
589C22⋊C4×C53C2×D411yescharacteristic
590C22⋊C4×C53C2×D411yescharacteristic
591C42×C53—21no—
592C42×C53—21no—
593C42×C53—21no—
594C42×C53—21no—
595C42×C53—21no—
596C42×C53—21no—
597C42×C53C2×D411yescharacteristic
598C42×C53C2×D411yescharacteristic
599C42×C53C2411yescharacteristic
600C42×C53C2411yescharacteristic
601C42×C53C2411yescharacteristic
602C42×C53C2411yescharacteristic
603C42×C53C2411yescharacteristic
604C42×C53C2411yescharacteristic
605C22⋊Dic53—21no—
606C22⋊Dic53—21no—
607#11719924—22no—
608#11719924—22no—
609#11719924—22no—
610#11719924—22no—
611#11719922—22no—
612#11719922—22no—
613#11719922—22no—
614#11719922—22no—
615#11719921—21no—
616#11719921—21no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627C4⋊Dic53—21no—
628C4⋊Dic53—21no—
629C4⋊Dic53—21no—
630C4⋊Dic53—21no—
631C4⋊Dic53—21no—
632C4⋊Dic53—21no—
633C4⋊Dic53—21no—
634C4⋊Dic53C2411yescharacteristic
635C4⋊Dic53C2411yescharacteristic
636C4⋊Dic53C2411yescharacteristic
637C4⋊Dic53C2411yescharacteristic
638C4⋊Dic53C2411yescharacteristic
639C4⋊Dic53C2411yescharacteristic
640#11719919—21no—
641#11719919—21no—
642#11719919—21no—
643#11719919—21no—
644#11719919—21no—
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652C4×Dic53—21no—
653C4×Dic53—21no—
654C2×#88322C2411yescharacteristic
655C2×#88322C2411yescharacteristic
656C2×#88322C2411yescharacteristic
657C2×#88322C2411yescharacteristic
658C2×#88322C2411yescharacteristic
659C2×#88322C2411yescharacteristic
660C2×#88322C2411yescharacteristic
661C2×#88322C2411yescharacteristic
662C23×C53—21no—
663C23×C53—21no—
664C23×C53C22×D411yescharacteristic
665C22×D53—21no—
666C22×D53—21no—
667C22×D53—24no—
668C22×D53—81no—
669C22×D53—81no—
670Q8×C53—21no—
671Q8×C53—21no—
672Q8×C53—21no—
673Q8×C53—21no—
674Q8×C53—41no—
675Q8×C53—41no—
676Q8×C53—41no—
677Q8×C53—41no—
678Q8×C53—81no—
679Q8×C53—81no—
680D4×C53—21no—
681D4×C53—21no—
682D4×C53—21no—
683D4×C53—21no—
684D4×C53—81no—
685D4×C53—81no—
686D4×C53—81no—
687D4×C53—81no—
688C2×C4×C53—21no—
689C2×C4×C53—21no—
690C2×C4×C53—21no—
691C2×C4×C53—21no—
692C2×C4×C53—21no—
693C2×C4×C53—21no—
694C2×C4×C53—21no—
695C2×C4×C53—21no—
696C2×C4×C53—41no—
697C2×C4×C53—41no—
698C2×C4×C53—81no—
699C2×C4×C53—81no—
700C2×C4×C53—81no—
701C2×C4×C53—81no—
702C2×C4×C53—81no—
703C2×C4×C53—81no—
704C2×C4×C53C22×D411yescharacteristic
705C2×C4×C53C22×D411yescharacteristic
706C2×C4×C53C22×D411yescharacteristic
707C2×C4×C53C22×D411yescharacteristic
708C2×C4×C53C22×D411yescharacteristic
709C2×C4×C53C22×D411yescharacteristic
710C2×C4×C53C22×D411yescharacteristic
711C2×C4×C53C22×D411yescharacteristic
712C2×C4×C53C22×D411yescharacteristic
713C2×C4×C53C22×D411yescharacteristic
714C2×C4×C53C22×D411yescharacteristic
715C2×C4×C53C22×D411yescharacteristic
716C2×C4×C53C22×D411yescharacteristic
717C2×C4×C53C2511yescharacteristic
718C2×Dic53—21no—
719C2×Dic53—21no—
720C2×Dic53—21no—
721C2×Dic53—21no—
722C2×Dic53—21no—
723C2×Dic53—21no—
724C2×Dic53—81no—
725D212—24no—
726D212—21no—
727D212—21no—
728D2122−1+412yes—
729D2122−1+412yes—
730C4×D53—42no—
731C4×D53—42no—
732C4×D53—81no—
733C4×D53—81no—
734C4×D53—81no—
735C4×D53—81no—
736C4×D53—81no—
737C4×D53—81no—
738C4×D53—81no—
739C4×D53—81no—
740C4×D53—81no—
741C4×D53—81no—
742Dic106—42no—
743Dic106—81no—
744Dic106—81no—
745Dic106—81no—
746Dic106—81no—
747Dic106—81no—
748#88322—21no—
749#88322—21no—
750#88322—21no—
751#88322—21no—
752#88322—21no—
753#88322—21no—
754#88322—21no—
755#88322—21no—
756#61855—531nomaximal, Sylow
757C22×C53—21no—
758C22×C53—21no—
759C22×C53—21no—
760C22×C53—41no—
761C22×C53—41no—
762C22×C53—41no—
763C22×C53—41no—
764C22×C53—41no—
765C22×C53—41no—
766C22×C53C23×D411yescharacteristic
767C2×D53—22no—
768C2×D53—22no—
769C2×D53—41no—
770C2×D53—41no—
771C2×D53—41no—
772C2×D53—41no—
773C2×D53—84no—
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×C53—21no—
787C4×C53—41no—
788C4×C53—41no—
789C4×C53—41no—
790C4×C53—41no—
791C4×C53—41no—
792C4×C53—41no—
793C4×C53C2×2−1+411yescharacteristic
794C4×C53C2×2−1+411yescharacteristic
795Dic53—41no—
796Dic53—41no—
797Dic53—41no—
798Dic53—41no—
799Dic53—41no—
800Dic53—41no—
801#3557D5311yescharacteristic, complemented
802#3501—531no—
803#3389—531no—
804#3389—531no—
805#3388—531no—
806#3388—531no—
807#3386—531no—
808#3384—531no—
809#3381—531no—
810#3380—531no—
811#3376—531no—
812#3376—531no—
813#3373—531no—
814#3370—531no—
815#3370—531no—
816#3367—531no—
817#3361—531no—
818#3360—531no—
819#3244—531no—
820#3243—531no—
821#3242—531no—
822#3241—531no—
823#3240—531no—
824#3233—531no—
825#3123—531no—
826#3122—531no—
827#3118—531no—
828#3118—531no—
829#3114—531no—
830#3105—531no—
831#2985—531no—
832C2×C53—41no—
833C2×C53—81no—
834C2×C53—81no—
835C2×C53#348611yescharacteristic
836C2×C53#358411yescharacteristic
837C2×C53#358511yescharacteristic
838D53—42no—
839D53—42no—
840#563—21no—
841#563—21no—
842#559C2×D5311yescharacteristic, complemented
843#559C2×D5311yescharacteristic, complemented
844#557C2×D5311yescharacteristic, complemented
845#557C2×D5311yescharacteristic, complemented
846#556C2×D5311yescharacteristic, complemented
847#556C2×D5311yescharacteristic, complemented
848#554—531no—
849#554—531no—
850#554—531no—
851#554—531no—
852#554—531no—
853#554—531no—
854#554—1061no—
855#554—1061no—
856#554—1061no—
857#554C2×D5311yescharacteristic, complemented
858#554C2×D5311yescharacteristic, complemented
859#552—21no—
860#552—21no—
861D4×Q8—531no—
862D4×Q8—531no—
863D4×Q8—1061no—
864#544—531no—
865#544—531no—
866#543—1061no—
867#543—1061no—
868#542—21no—
869#542—21no—
870#542C2×D5311yescharacteristic
871#542C2×D5311yescharacteristic
872#541C2×D5311yescharacteristic
873#540C2×D5311yescharacteristic
874#539—21no—
875#539—21no—
876#533—531no—
877#533C2×D5311yescharacteristic
878#529C2×D5311yescharacteristic
879#529C2×D5311yescharacteristic
880C2×C22⋊Q8—1061no—
881C2×C22⋊Q8—1061no—
882#518—531no—
883#518—531no—
884C2×C4×D4—531no—
885#501—531no—
886#501—531no—
887#501—531no—
888#501—531no—
889#501—531no—
890#501—531no—
891#500—531no—
892#499—531no—
893#499—531no—
894#499—531no—
895#499—531no—
896#498—531no—
897#491—531no—
898#490—531no—
899#489—531no—
900#489—531no—
901#489—531no—
902#489—531no—
903#488—531no—
904#488—531no—
905#488—531no—
906#488—531no—
907#487—531no—
908#486—531no—
909#485—531no—
910#485—531no—
911#485—531no—
912#485—531no—
913#484—531no—
914#483—531no—
915#482—531no—
916#482—531no—
917#482—531no—
918#482—531no—
919#481—531no—
920#480—531no—
921#479—531no—
922#479—531no—
923#479—531no—
924#479—531no—
925#479—531no—
926#479—531no—
927#478—531no—
928#478—531no—
929#478—531no—
930#478—531no—
931#478—531no—
932#478—531no—
933#478—531no—
934#478—531no—
935#478—531no—
936#478—531no—
937#478—531no—
938#478—531no—
939#478—531no—
940#478—531no—
941#477—531no—
942#477—531no—
943#477—531no—
944#476—531no—
945#476—531no—
946#476—531no—
947#476—531no—
948#476—531no—
949#475—531no—
950#475—531no—
951#475—531no—
952#474—531no—
953#474—531no—
954#474—531no—
955#474—531no—
956#474—531no—
957#463—531no—
958#463—531no—
959#463—531no—
960#463—531no—
961#463—531no—
962#463—531no—
963#463—531no—
964#463—531no—
965#461—531no—
966#461—531no—
967#459—531no—
968#459—531no—
969#450—531no—
970#450—531no—
971#447—531no—
972#447—531no—
973#446—531no—
974#446—531no—
975#446—531no—
976#446—531no—
977#446—531no—
978#446—531no—
979C8×Q8—531no—
980C8×Q8—531no—
981#442—531no—
982#442—531no—
983#442—531no—
984#442—531no—
985#442—531no—
986#442—531no—
987#440—531no—
988#440—531no—
989#440—531no—
990#440—531no—
991#440—531no—
992#440—531no—
993C4×SD16—531no—
994C4×SD16—531no—
995C4×SD16—531no—
996C4×SD16—531no—
997C4×SD16—531no—
998C4×SD16—531no—
999C4×D8—531no—
1000C4×D8—531no—
1001C4×D8—531no—
1002C4×D8—531no—
1003C4×D8—531no—
1004C4×D8—531no—
1005#433—531no—
1006#433—531no—
1007#433—531no—
1008#433—531no—
1009#432—531no—
1010#431—531no—
1011C53#6185511yescharacteristic, complemented, Sylow
1012C22×Q8—1061no—
1013C22×Q8—1061no—
1014C22×D4—531no—
1015C23×C4—1061no—
1016C2×SD16—531no—
1017C2×SD16—531no—
1018C2×SD16—531no—
1019C2×SD16—531no—
1020C2×D8—531no—
1021C2×D8—531no—
1022C2×D8—531no—
1023C2×D8—531no—
1024C4⋊Q8—21no—
1025C4⋊Q8—21no—
1026C4⋊Q8—531no—
1027C4⋊Q8—531no—
1028C4⋊Q8—531no—
1029C4⋊Q8—531no—
1030C4⋊Q8—531no—
1031C4⋊Q8—531no—
1032C4⋊Q8—1061no—
1033C4⋊Q8—1061no—
1034C4⋊Q8C22⋊D5311yescharacteristic
1035C4⋊Q8C22⋊D5311yescharacteristic
1036C4⋊Q8C22×D5311yescharacteristic
1037C4⋊Q8C22×D5311yescharacteristic
1038C4⋊Q8C22×D5311yescharacteristic
1039#127C22×D5311yescharacteristic
1040#126—21no—
1041#126—21no—
1042#126—21no—
1043#126—21no—
1044#126—21no—
1045#126—21no—
1046#126—21no—
1047#126—21no—
1048#126—21no—
1049#126—21no—
1050#125—21no—
1051#125—21no—
1052#125—21no—
1053#125—21no—
1054#125—21no—
1055#125—21no—
1056#125—531no—
1057#125—531no—
1058#125—531no—
1059#125—531no—
1060#125—531no—
1061#125—531no—
1062#125—1061no—
1063#125—1061no—
1064#125C22⋊D5311yescharacteristic
1065#125C22⋊D5311yescharacteristic
1066#125C22×D5311yescharacteristic
1067#125C22×D5311yescharacteristic
1068#125C22×D5311yescharacteristic
1069#125C22×D5311yescharacteristic
1070#124—21no—
1071#124—21no—
1072#124—21no—
1073#124—21no—
1074#124C22×D5311yescharacteristic
1075#124C22×D5311yescharacteristic
1076#124C22×D5311yescharacteristic
1077#124C22×D5311yescharacteristic
1078#123—21no—
1079#123—21no—
1080#123—21no—
1081#123—21no—
1082#123—21no—
1083#123—21no—
1084#123—21no—
1085#123—21no—
1086#123—21no—
1087#123—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—21no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—1061no—
1099C22⋊Q8—1061no—
1100C22⋊Q8—1061no—
1101C22⋊Q8—1061no—
1102C22⋊Q8—1061no—
1103C22⋊Q8—1061no—
1104C22⋊Q8—1061no—
1105C22⋊Q8—1061no—
1106C22⋊Q8—1061no—
1107C22⋊Q8—1061no—
1108C22⋊Q8—1061no—
1109C22⋊Q8—1061no—
1110C22⋊Q8—1061no—
1111C22⋊Q8—1061no—
1112C22⋊Q8—1061no—
1113C22⋊Q8—1061no—
1114C22⋊Q8—1061no—
1115C22⋊Q8—1061no—
1116C22⋊Q8—1061no—
1117C22⋊Q8—1061no—
1118C22⋊Q8—1061no—
1119C22⋊Q8—1061no—
1120C22⋊Q8—1061no—
1121C22⋊Q8—1061no—
1122C22⋊Q8—1061no—
1123C22⋊Q8—1061no—
1124C22⋊Q8—1061no—
1125C22⋊Q8—1061no—
1126C22⋊Q8—1061no—
1127C22⋊Q8—1061no—
1128C22⋊Q8C22⋊D5311yescharacteristic
1129C22⋊Q8C22⋊D5311yescharacteristic
1130C22⋊Q8C22⋊D5311yescharacteristic
1131C22⋊Q8C22⋊D5311yescharacteristic
1132C22⋊Q8C22×D5311yescharacteristic
1133C22⋊Q8C22×D5311yescharacteristic
1134#121—21no—
1135#121—21no—
1136#121C22×D5311yescharacteristic
1137#121C22×D5311yescharacteristic
1138C4×Q8—21no—
1139C4×Q8—21no—
1140C4×Q8—1061no—
1141C4×Q8—1061no—
1142C4×Q8C22×D5311yescharacteristic
1143C4×Q8C22×D5311yescharacteristic
1144C4×Q8C22×D5311yescharacteristic
1145C4×Q8C22×D5311yescharacteristic
1146C4×Q8C22×D5311yescharacteristic
1147C4×Q8C22×D5311yescharacteristic
1148C4×Q8C22×D5311yescharacteristic
1149C4×Q8C22×D5311yescharacteristic
1150C4×Q8C22×D5311yescharacteristic
1151C4×Q8C22×D5311yescharacteristic
1152C4×D4—21no—
1153C4×D4—21no—
1154C4×D4—21no—
1155C4×D4—21no—
1156C4×D4—531no—
1157C4×D4—531no—
1158C4×D4—531no—
1159C4×D4—531no—
1160C4×D4—531no—
1161C4×D4—531no—
1162C4×D4—531no—
1163C4×D4—531no—
1164C4×D4—531no—
1165C4×D4—531no—
1166C4×D4—531no—
1167C4×D4—531no—
1168C4×D4—1061no—
1169C4×D4—1061no—
1170C4×D4—1061no—
1171C4×D4—1061no—
1172C4×D4—1061no—
1173C4×D4—1061no—
1174C4×D4C22×D5311yescharacteristic
1175C4×D4C22×D5311yescharacteristic
1176C4×D4C22×D5311yescharacteristic
1177C4×D4C22×D5311yescharacteristic
1178C4×D4C22×D5311yescharacteristic
1179C4×D4C22×D5311yescharacteristic
1180#117—21no—
1181#117—21no—
1182#117—21no—
1183#117—21no—
1184#117—531no—
1185#117—531no—
1186#117C22×D5311yescharacteristic
1187#117C22×D5311yescharacteristic
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4—531no—
1191C2×C4⋊C4—1061no—
1192C2×C4⋊C4—1061no—
1193C2×C4⋊C4—1061no—
1194C2×C4⋊C4—1061no—
1195C2×C4⋊C4—1061no—
1196C2×C4⋊C4—1061no—
1197C2×C22⋊C4—1061no—
1198C2×C22⋊C4—1061no—
1199C2×C22⋊C4—1061no—
1200C2×C22⋊C4—1061no—
1201C2×C22⋊C4—1061no—
1202C2×C42C22×D5311yescharacteristic
1203#107—531no—
1204#107—531no—
1205#107—531no—
1206#107—531no—
1207#107—531no—
1208#107—531no—
1209#107—531no—
1210#107—531no—
1211#107—531no—
1212#107—531no—
1213#107—531no—
1214#107—531no—
1215#106—531no—
1216#106—531no—
1217#106—531no—
1218#106—531no—
1219#106—531no—
1220#106—531no—
1221#106—531no—
1222#106—531no—
1223#106—531no—
1224#106—531no—
1225#106—531no—
1226#106—531no—
1227C4⋊C8—531no—
1228C4⋊C8—531no—
1229C4⋊C8—531no—
1230C4⋊C8—531no—
1231C4⋊C8—531no—
1232C4⋊C8—531no—
1233C4⋊C8—531no—
1234C4⋊C8—531no—
1235C4⋊C8—531no—
1236C4⋊C8—531no—
1237C4⋊C8—531no—
1238C4⋊C8—531no—
1239#103—531no—
1240#103—531no—
1241#103—531no—
1242#103—531no—
1243#103—531no—
1244#103—531no—
1245#103—531no—
1246#103—531no—
1247#103—531no—
1248#103—531no—
1249#103—531no—
1250#103—531no—
1251#102—531no—
1252#102—531no—
1253#102—531no—
1254#102—531no—
1255#102—531no—
1256#102—531no—
1257#102—531no—
1258#102—531no—
1259#102—531no—
1260#102—531no—
1261#102—531no—
1262#102—531no—
1263#102—531no—
1264#102—531no—
1265#102—531no—
1266#102—531no—
1267#102—531no—
1268#102—531no—
1269#102—531no—
1270#102—531no—
1271C22⋊C8—531no—
1272C22⋊C8—531no—
1273C22⋊C8—531no—
1274C22⋊C8—531no—
1275#97—531no—
1276#97—531no—
1277#97—531no—
1278#97—531no—
1279#97—531no—
1280#97—531no—
1281C4×C8—531no—
1282C4×C8—531no—
1283C4×C8—531no—
1284C4×C8—531no—
1285C4×C8—531no—
1286C4×C8—531no—
1287C24—1061no—
1288C2×Q8—21no—
1289C2×Q8—21no—
1290C2×Q8—1061no—
1291C2×Q8—1061no—
1292C2×Q8—1061no—
1293C2×Q8—1061no—
1294C2×Q8—1061no—
1295C2×Q8—1061no—
1296C2×Q8—4242no—
1297C2×Q8—4242no—
1298C2×Q8C2×C22⋊D5311yescharacteristic
1299C2×Q8C2×C22⋊D5311yescharacteristic
1300C2×Q8C2×C22⋊D5311yescharacteristic
1301C2×Q8C2×C22⋊D5311yescharacteristic
1302C2×Q8C23×D5311yescharacteristic
1303C2×Q8C23×D5311yescharacteristic
1304C2×D4—21no—
1305C2×D4—21no—
1306C2×D4—21no—
1307C2×D4—21no—
1308C2×D4—531no—
1309C2×D4—531no—
1310C2×D4—1062no—
1311C2×D4—1062no—
1312C2×D4—1061no—
1313C2×D4C23×D5311yescharacteristic
1314C2×D4C23×D5311yescharacteristic
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—1061no—
1322C22×C4—1061no—
1323C22×C4—1061no—
1324C22×C4—1061no—
1325C22×C4—1061no—
1326C22×C4—1061no—
1327C22×C4—1061no—
1328C22×C4—1061no—
1329C22×C4—1061no—
1330C22×C4—1061no—
1331C22×C4—1061no—
1332C22×C4—1061no—
1333C22×C4—1061no—
1334C22×C4—4242no—
1335C22×C4C2×C22⋊D5311yescharacteristic
1336C22×C4C2×C22⋊D5311yescharacteristic
1337C22×C4C23×D5311yescharacteristic
1338SD16—1062no—
1339SD16—1062no—
1340SD16—1062no—
1341SD16—1062no—
1342D8—1062no—
1343D8—1062no—
1344D8—1062no—
1345D8—1062no—
1346C2×C8—531no—
1347C2×C8—531no—
1348C2×C8—531no—
1349C2×C8—531no—
1350C2×C8—531no—
1351C2×C8—531no—
1352C2×C8—531no—
1353C2×C8—531no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—531no—
1375C4⋊C4—531no—
1376C4⋊C4—531no—
1377C4⋊C4—531no—
1378C4⋊C4—531no—
1379C4⋊C4—531no—
1380C4⋊C4—1061no—
1381C4⋊C4—1061no—
1382C4⋊C4—1061no—
1383C4⋊C4—1061no—
1384C4⋊C4—1061no—
1385C4⋊C4—1061no—
1386C4⋊C4—1061no—
1387C4⋊C4—1061no—
1388C4⋊C4—1061no—
1389C4⋊C4—1061no—
1390C4⋊C4—1061no—
1391C4⋊C4—1061no—
1392C4⋊C4—1061no—
1393C4⋊C4—1061no—
1394C4⋊C4—1061no—
1395C4⋊C4—1061no—
1396C4⋊C4—1061no—
1397C4⋊C4—1061no—
1398C4⋊C4—1061no—
1399C4⋊C4C2×C22⋊D5311yescharacteristic
1400C4⋊C4C2×C22⋊D5311yescharacteristic
1401C4⋊C4C2×C22⋊D5311yescharacteristic
1402C4⋊C4C2×C22⋊D5311yescharacteristic
1403C4⋊C4C2×C22⋊D5311yescharacteristic
1404C4⋊C4C2×C22⋊D5311yescharacteristic
1405C4⋊C4C2×C22⋊D5311yescharacteristic
1406C4⋊C4C2×C22⋊D5311yescharacteristic
1407C4⋊C4C2×C22⋊D5311yescharacteristic
1408C4⋊C4C2×C22⋊D5311yescharacteristic
1409C4⋊C4C2×C22⋊D5311yescharacteristic
1410C4⋊C4C2×C22⋊D5311yescharacteristic
1411C4⋊C4C2×C22⋊D5311yescharacteristic
1412C4⋊C4C2×C22⋊D5311yescharacteristic
1413C4⋊C4C2×C22⋊D5311yescharacteristic
1414C4⋊C4C2×C22⋊D5311yescharacteristic
1415C4⋊C4C23×D5311yescharacteristic
1416C4⋊C4C23×D5311yescharacteristic
1417C4⋊C4C23×D5311yescharacteristic
1418C4⋊C4C23×D5311yescharacteristic
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—1061no—
1438C22⋊C4—1061no—
1439C22⋊C4—1061no—
1440C22⋊C4—1061no—
1441C22⋊C4—1061no—
1442C22⋊C4—1061no—
1443C22⋊C4—1061no—
1444C22⋊C4—1061no—
1445C22⋊C4—1061no—
1446C22⋊C4—1061no—
1447C22⋊C4—1061no—
1448C22⋊C4—1061no—
1449C22⋊C4—1061no—
1450C22⋊C4—1061no—
1451C22⋊C4C2×C22⋊D5311yescharacteristic
1452C22⋊C4C2×C22⋊D5311yescharacteristic
1453C22⋊C4C2×C22⋊D5311yescharacteristic
1454C22⋊C4C2×C22⋊D5311yescharacteristic
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—21no—
1460C42—21no—
1461C42—1061no—
1462C42—1061no—
1463C42C2×C22⋊D5311yescharacteristic
1464C42C2×C22⋊D5311yescharacteristic
1465C42C23×D5311yescharacteristic
1466C42C23×D5311yescharacteristic
1467C42C23×D5311yescharacteristic
1468C42C23×D5311yescharacteristic
1469C42C23×D5311yescharacteristic
1470C42C23×D5311yescharacteristic
1471C23—21no—
1472C23—21no—
1473C23—1064no—
1474C23—1061no—
1475C23—1061no—
1476C23—4241no—
1477C23—4241no—
1478C23C22×C22⋊D5311yescharacteristic
1479Q8—21no—
1480Q8—21no—
1481Q8—21no—
1482Q8—21no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—81no—
1488Q8—81no—
1489Q8—4241no—
1490Q8—4241no—
1491Q8—4241no—
1492Q8—4241no—
1493Q8—4241no—
1494Q8—2122no—
1495D4—21no—
1496D4—21no—
1497D4—21no—
1498D4—21no—
1499D4—81no—
1500D4—81no—
1501D4—81no—
1502D4—81no—
1503D4—532no—
1504D4—532no—
1505D4—1064no—
1506D4—1061no—
1507D4—1061no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—81no—
1519C2×C4—81no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—1061no—
1525C2×C4—1061no—
1526C2×C4—1061no—
1527C2×C4—1061no—
1528C2×C4—1061no—
1529C2×C4—1061no—
1530C2×C4—4241no—
1531C2×C4—4241no—
1532C2×C4—4241no—
1533C2×C4—4241no—
1534C2×C4—4241no—
1535C2×C4—4241no—
1536C2×C4—4241no—
1537C2×C4—4241no—
1538C2×C4—4241no—
1539C2×C4—4241no—
1540C2×C4—4241no—
1541C2×C4—2122no—
1542C2×C4—2122no—
1543C2×C4C22×C22⋊D5311yescharacteristic
1544C2×C4C22×C22⋊D5311yescharacteristic
1545C2×C4C22×C22⋊D5311yescharacteristic
1546C2×C4C22×C22⋊D5311yescharacteristic
1547C2×C4C22×C22⋊D5311yescharacteristic
1548C2×C4C22×C22⋊D5311yescharacteristic
1549C2×C4C22×C22⋊D5311yescharacteristic
1550C2×C4C22×C22⋊D5311yescharacteristic
1551C2×C4C22×C22⋊D5311yescharacteristic
1552C2×C4C22×C22⋊D5311yescharacteristic
1553C2×C4C22×C22⋊D5311yescharacteristic
1554C2×C4C22×C22⋊D5311yescharacteristic
1555C2×C4C22×C22⋊D5311yescharacteristic
1556C2×C4C24×D5311yescharacteristic
1557C8—1061no—
1558C8—1061no—
1559C8—1061no—
1560C8—1061no—
1561C8—1061no—
1562C8—1061no—
1563C8—1061no—
1564C8—1061no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—1062no—
1575C22—1062no—
1576C22—4244no—
1577C22—2121no—
1578C22—2121no—
1579C22—2121no—
1580C22—2121no—
1581C22C23×C22⋊D5311yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—2121no—
1602C4—2121no—
1603C4—2121no—
1604C4—2121no—
1605C4—2121no—
1606C4—2121no—
1607C42−1+4×D5311yescharacteristic
1608C42−1+4×D5311yescharacteristic
1609C2—41no—
1610C2—81no—
1611C2—81no—
1612C2—2122no—
1613C2—2122no—
1614C2#2028836311yescharacteristic
1615C2#2028948611yescharacteristic
1616C2#2028949411yescharacteristic
subgroupG/H
centerC22C23×C22⋊D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3557C2
socleC22×C53C23×D4
prime radical#20284953C2
hypercenter#3557D53
hypocenterC53#61855
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #533 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #20288516C2semidirect
2. #20287669C2semidirect
3. #20287669C2semidirect
4. #20287654C2semidirect
5. #20287654C2semidirect
6. #20287632C2semidirect
7. #20287614C2semidirect
8. #20287586C2semidirect
9. #20287578C2semidirect
10. #20287536C2semidirect
11. #20287536C2semidirect
12. #20287503C2semidirect
13. #20287462C2semidirect
14. #20287462C2semidirect
15. #20287429C2semidirect
16. #20287371C2semidirect
17. #20287360C2semidirect
18. #20286007C2semidirect
19. #20285992C2semidirect
20. #20285977C2semidirect
21. #20285962C2semidirect
22. #20285951C2semidirect
23. #20285890C2semidirect
24. #20284962C2semidirect
26. #20284893C2semidirect
27. #20284893C2semidirect
28. #20284849C2semidirect
29. #20284758C2semidirect
30. #20283810C2semidirect
31. C53×#3557C2semidirect
54. #16811033C22semidirect
55. #16811033C22semidirect
56. #16811033C22semidirect
57. #16811033C22semidirect
58. #16811029C22semidirect
59. #16811029C22semidirect
60. #16811026C22semidirect
61. #16811022C22semidirect
62. #16811022C22semidirect
63. #16811022C22semidirect
64. #16811022C22semidirect
65. #16811019C22semidirect
66. #16810991C22semidirect
67. #16810987C22semidirect
68. #16810982C22semidirect
69. #16810982C22semidirect
70. #16810982C22semidirect
71. #16810982C22semidirect
72. #16810977C22semidirect
73. #16810977C22semidirect
74. #16810977C22semidirect
75. #16810977C22semidirect
76. #16810973C22semidirect
77. #16810969C22semidirect
90. #16810930C22semidirect
91. #16810930C22semidirect
92. #16810930C22semidirect
93. #16810930C22semidirect
94. #16810930C22semidirect
95. #16810930C22semidirect
96. #16810923C22semidirect
97. #16810923C22semidirect
98. #16810923C22semidirect
99. #16810923C22semidirect
100. #16810923C22semidirect
101. #16810923C22semidirect
110. #16810918C22semidirect
111. #16810918C22semidirect
112. #16810918C22semidirect
113. #16810913C22semidirect
114. #16810913C22semidirect
115. #16810913C22semidirect
118. #16810908C22semidirect
119. #16810908C22semidirect
120. #16810908C22semidirect
121. #16810903C22semidirect
122. #16810903C22semidirect
123. #16810903C22semidirect
142. #16810754C22semidirect
143. #16810754C22semidirect
144. #16810754C22semidirect
145. #16810754C22semidirect
146. #16810754C22semidirect
147. #16810754C22semidirect
148. Q8×#88322C22semidirect
149. Q8×#88322C22semidirect
182. C53×#559C22semidirect
183. C53×#559C22semidirect
184. C53×#557C22semidirect
185. C53×#557C22semidirect
186. C53×#556C22semidirect
187. C53×#556C22semidirect
188. C53×#554C22semidirect
189. C53×#554C22semidirect
801. #3557D53semidirect
842. #559C2×D53semidirect
843. #559C2×D53semidirect
844. #557C2×D53semidirect
845. #557C2×D53semidirect
846. #556C2×D53semidirect
847. #556C2×D53semidirect
857. #554C2×D53semidirect
858. #554C2×D53semidirect
1011. C53#61855semidirect

Maximal subgroups

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

subgroupindex
#202885162
#202876692
#202876542
#202876322
#202876142
#202875862
#202875782
#202875362
#202875032
#202874622
#202874292
#202873712
#202873602
#202860072
#202859922
#202859772
#202859622
#202859512
#202858902
#202849622
#202849532
#202848932
#202848492
#202847582
#202838102
C53×#35572
#6185553