Finite Group Databasebeta

← #28266895

Subgroups — #28266895

Order 13568.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288704C211yesmaximal, characteristic, complemented
2#20287790C211yesmaximal, characteristic, complemented
3#20287678C211yesmaximal, characteristic, complemented
4#20287400C211yesmaximal, characteristic, complemented
5#20287396C211yesmaximal, characteristic, complemented
6#20287284C211yesmaximal, characteristic, complemented
7#20287200C211yesmaximal, characteristic, complemented
8#20287194C211yesmaximal, characteristic, complemented
9#20286617C211yesmaximal, characteristic, complemented
10#20286611C211yesmaximal, characteristic, complemented
11#20286602C211yesmaximal, characteristic, complemented
12#20286596C211yesmaximal, characteristic, complemented
13#20286591C211yesmaximal, characteristic, complemented
14#20286585C211yesmaximal, characteristic, complemented
15#20286368C211yesmaximal, characteristic, complemented
16#20286286C211yesmaximal, characteristic, complemented
17#20286281C211yesmaximal, characteristic, complemented
18#20285385C211yesmaximal, characteristic, complemented
19#20285377C211yesmaximal, characteristic, complemented
20#20285279C211yesmaximal, characteristic, complemented
21#20285015C211yesmaximal, characteristic, complemented
22#20285010C211yesmaximal, characteristic, complemented
23#20284977C211yesmaximal, characteristic, complemented
24#20284971C211yesmaximal, characteristic, complemented
25#20284886C211yesmaximal, characteristic, complemented
26#20284882C211yesmaximal, characteristic, complemented
27#20283691C211yesmaximal, characteristic, complemented
28#20283558C211yesmaximal, characteristic, complemented
29#20283554C211yesmaximal, characteristic, complemented
30C2×C4×#11719925C211yesmaximal, characteristic, complemented
31C53×#3516C211yesmaximal, characteristic, complemented
32C2×#13133248C2211yescharacteristic
33C2×#13133247C2211yescharacteristic
34C22×#11719925C2211yescharacteristic
35#16811351C2211yescharacteristic
36#16811346C2211yescharacteristic
37#16811340—21no—
38#16811330C2211yescharacteristic
39#16811327—21no—
40#16811319C2211yescharacteristic
41#16811316—21no—
42#16811313C2211yescharacteristic
43#16811309—21no—
44D4×Dic106C2211yescharacteristic
45#16811282C2211yescharacteristic
46#16811282C2211yescharacteristic
47#16811244C2211yescharacteristic
48#16811237—21no—
49#16811235C2211yescharacteristic
50#16811232—21no—
51#16811157C2211yescharacteristic
52#16811150—21no—
53#16811150—21no—
54#16811103C2211yescharacteristic
55#16811100C2211yescharacteristic
56C2×C4×Dic106C2211yescharacteristic
57#16811033C2211yescharacteristic
58#16811029C2211yescharacteristic
59#16811022C2211yescharacteristic
60#16811018C2211yescharacteristic
61#16811015C2211yescharacteristic
62#16811005C2211yescharacteristic
63#16810980C2211yescharacteristic
64#16810980C2211yescharacteristic
65#16810977C2211yescharacteristic
66#16810977C2211yescharacteristic
67#16810975C2211yescharacteristic
68#16810973C2211yescharacteristic
69#16810964C2211yescharacteristic
70#16810964C2211yescharacteristic
71#16810961C2211yescharacteristic
72#16810961C2211yescharacteristic
73#16810958C2211yescharacteristic
74#16810958C2211yescharacteristic
75#16810956C2211yescharacteristic
76#16810956C2211yescharacteristic
77#16810941C2211yescharacteristic
78#16810939C2211yescharacteristic
79#16810936C2211yescharacteristic
80#16810934C2211yescharacteristic
81#16810930C2211yescharacteristic
82#16810930C2211yescharacteristic
83#16810930C2211yescharacteristic
84#16810930C2211yescharacteristic
85#16810927C2211yescharacteristic
86#16810927C2211yescharacteristic
87#16810927C2211yescharacteristic
88#16810927C2211yescharacteristic
89#16810918C2211yescharacteristic
90#16810915C2211yescharacteristic
91#16810903C2211yescharacteristic
92#16810900C2211yescharacteristic
93#16810879C2211yescharacteristic
94#16810879C2211yescharacteristic
95#16810871C2211yescharacteristic
96#16810867C2211yescharacteristic
97#16810862C2211yescharacteristic
98#16810862C2211yescharacteristic
99#16810862C2211yescharacteristic
100#16810857C2211yescharacteristic
101#16810854C2211yescharacteristic
102#16810854C2211yescharacteristic
103#16810850C2211yescharacteristic
104#16810850C2211yescharacteristic
105#16810845C2211yescharacteristic
106#16810845C2211yescharacteristic
107#16810845C2211yescharacteristic
108#16810842C2211yescharacteristic
109#16810842C2211yescharacteristic
110#16810842C2211yescharacteristic
111#16810838C2211yescharacteristic
112#16810835C2211yescharacteristic
113#16810833C2211yescharacteristic
114#16810833C2211yescharacteristic
115#16810830C2211yescharacteristic
116#16810830C2211yescharacteristic
117#16810785C2211yescharacteristic
118#16810783C2211yescharacteristic
119#16810779C2211yescharacteristic
120#16810779C2211yescharacteristic
121#16810779C2211yescharacteristic
122#16810778C2211yescharacteristic
123#16810778C2211yescharacteristic
124#16810778C2211yescharacteristic
125#16810768C2211yescharacteristic
126#16810766C2211yescharacteristic
127#16810762C2211yescharacteristic
128#16810761C2211yescharacteristic
129#16810754C2211yescharacteristic
130Q8×#88322C2211yescharacteristic
131#16810728C2211yescharacteristic
132#16810728C2211yescharacteristic
133#16810728C2211yescharacteristic
134#16810728C2211yescharacteristic
135#16810728C2211yescharacteristic
136#16810728C2211yescharacteristic
137#16810723C2211yescharacteristic
138#16810723C2211yescharacteristic
139#16810723C2211yescharacteristic
140#16810721C2211yescharacteristic
141#16810721C2211yescharacteristic
142#16810721C2211yescharacteristic
143C4×#11719925C2211yescharacteristic
144C4×#11719925C2211yescharacteristic
145C4×#11719925C2211yescharacteristic
146C4×#11719925C2211yescharacteristic
147C4×#11719925C2211yescharacteristic
148C4×#11719925C2211yescharacteristic
149C4×#11719925C2211yescharacteristic
150C4×#11719925C2211yescharacteristic
151C4×#11719925C2211yescharacteristic
152C4×#11719925C2211yescharacteristic
153C4×#11719925C2211yescharacteristic
154C4×#11719924C2211yescharacteristic
155C4×#11719924C2211yescharacteristic
156C4×#11719923C2211yescharacteristic
157C4×#11719923C2211yescharacteristic
158C4×#11719922C2211yescharacteristic
159#16810701C2211yescharacteristic
160#16810695C2211yescharacteristic
161#16810695C2211yescharacteristic
162D4×#88322C2211yescharacteristic
163D4×#88322C2211yescharacteristic
164D4×#88322C2211yescharacteristic
165#16810684C2211yescharacteristic
166#16810684C2211yescharacteristic
167#16810680C2211yescharacteristic
168#16810666C2211yescharacteristic
169#16810663C2211yescharacteristic
170C2×#13133150C2211yescharacteristic
171#16810619C2211yescharacteristic
172#16810617C2211yescharacteristic
173C2×#13133141C2211yescharacteristic
174C2×#13133141C2211yescharacteristic
175C2×#13133140C2211yescharacteristic
176C2×#13133140C2211yescharacteristic
177#16810579C2211yescharacteristic
178#16810579C2211yescharacteristic
179C2×C4×#88322C2211yescharacteristic
180C53×#557C2211yescharacteristic
181C53×#556—21no—
182C53×#556C2211yescharacteristic
183C53×#554—21no—
184C53×#554C2211yescharacteristic
185C53×#553—21no—
186C53×#553C2211yescharacteristic
187C53×#552—21no—
188C53×#552C2211yescharacteristic
189D4×Q8×C53C2211yescharacteristic
190C53×#548C2211yescharacteristic
191C53×#548C2211yescharacteristic
192C53×#542—21no—
193C53×#542C2211yescharacteristic
194C53×#541—21no—
195C53×#541C2211yescharacteristic
196C53×#529—21no—
197C53×#529—21no—
198C53×#529C2211yescharacteristic
199C53×#529C2211yescharacteristic
200C53×#520C2211yescharacteristic
201C53×#519C2211yescharacteristic
202C2×C4×Q8×C53C2211yescharacteristic
203C2×#11719945C2311yescharacteristic
204C22×Dic106C2311yescharacteristic
205C22×Dic106C2311yescharacteristic
206#13133248—24no—
207#13133247—24no—
208C2×#11719925—24no—
209C2×#11719925C2311yescharacteristic
210C2×#11719925C2311yescharacteristic
211C2×#11719925C2311yescharacteristic
212C2×#11719925C2311yescharacteristic
213C2×#11719925C2311yescharacteristic
214C2×#11719925C2311yescharacteristic
215C2×#11719925C2311yescharacteristic
216C2×#11719925C2311yescharacteristic
217C2×#11719925C2311yescharacteristic
218C2×#11719923C2311yescharacteristic
219C2×#11719923C2311yescharacteristic
220C2×#11719923C2311yescharacteristic
221C2×#11719924C2311yescharacteristic
222C2×#11719924C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×#11719922C2311yescharacteristic
225C2×#11719917C2311yescharacteristic
226C2×#11719917C2311yescharacteristic
227C22×#88322C2311yescharacteristic
228C22×#88322C2311yescharacteristic
229C22×#88322C2311yescharacteristic
230C22×#88322C2311yescharacteristic
231#13133217C2311yescharacteristic
232#13133217C2311yescharacteristic
233#13133216—21no—
234#13133215—21no—
235#13133212—21no—
236#13133212—21no—
237#13133212—21no—
238#13133212—21no—
239#13133211—21no—
240#13133210—21no—
241#13133210—21no—
242#13133210—21no—
243#13133209C2311yescharacteristic
244#13133209C2311yescharacteristic
245#13133208—21no—
246#13133207—21no—
247#13133207—21no—
248#13133207—21no—
249#13133207—21no—
250#13133207—21no—
251#13133205C2311yescharacteristic
252#13133205C2311yescharacteristic
253#13133203—21no—
254#13133203—21no—
255#13133203—21no—
256#13133200—21no—
257#13133199—21no—
258#13133199—21no—
259#13133198—21no—
260#13133196C2311yescharacteristic
261#13133196C2311yescharacteristic
262#13133196C2311yescharacteristic
263#13133196C2311yescharacteristic
264#13133195—21no—
265#13133195—21no—
266#13133195—21no—
267#13133194—21no—
268#13133194—21no—
269#13133194—21no—
270#13133194—21no—
271#13133193—21no—
272#13133191C2311yescharacteristic
273#13133191C2311yescharacteristic
274#13133189—21no—
275#13133189—21no—
276#13133189—21no—
277C4×Dic106—21no—
278C4×Dic106—21no—
279C4×Dic106C2311yescharacteristic
280C4×Dic106C2311yescharacteristic
281C4×Dic106C2311yescharacteristic
282C4×Dic106C2311yescharacteristic
283C4×Dic106C2311yescharacteristic
284C4×Dic106C2311yescharacteristic
285C4×Dic106C2311yescharacteristic
286C4×Dic106C2311yescharacteristic
287#13133182—21no—
288#13133182—21no—
289#13133182—21no—
290C4×D212C2311yescharacteristic
291C4×D212C2311yescharacteristic
292D4×Dic53—21no—
293D4×Dic53—21no—
294C4×C22⋊D53—21no—
295#13133177—21no—
296#13133177—21no—
297#13133177—21no—
298#13133177—21no—
299#13133177—21no—
300#13133176C2311yescharacteristic
301#13133175—21no—
302#13133175—21no—
303#13133174—21no—
304#13133173—21no—
305#13133173—21no—
306#13133173—21no—
307C2×C4⋊Dic53C2311yescharacteristic
308C2×C4⋊Dic53C2311yescharacteristic
309C2×#11719919—21no—
310C4⋊C4×D53—21no—
311C2×C4×Dic53—21no—
312#13133150C2311yescharacteristic
313#13133150C2311yescharacteristic
314#13133150C2311yescharacteristic
315#13133150C2311yescharacteristic
316#13133150C2311yescharacteristic
317#13133150C2311yescharacteristic
318#13133150C2311yescharacteristic
319#13133150C2311yescharacteristic
320#13133150C2311yescharacteristic
321#13133150C2311yescharacteristic
322#13133148C2311yescharacteristic
323#13133148C2311yescharacteristic
324#13133148C2311yescharacteristic
325#13133148C2311yescharacteristic
326#13133148C2311yescharacteristic
327#13133148C2311yescharacteristic
328C4⋊#88322C2311yescharacteristic
329C4⋊#88322C2311yescharacteristic
330C4⋊#88322C2311yescharacteristic
331C4⋊#88322C2311yescharacteristic
332C4⋊#88322C2311yescharacteristic
333C4⋊#88322C2311yescharacteristic
334#13133141C2311yescharacteristic
335#13133141C2311yescharacteristic
336#13133141C2311yescharacteristic
337#13133141C2311yescharacteristic
338#13133141C2311yescharacteristic
339#13133141C2311yescharacteristic
340#13133141C2311yescharacteristic
341#13133141C2311yescharacteristic
342#13133141C2311yescharacteristic
343#13133141C2311yescharacteristic
344#13133141C2311yescharacteristic
345#13133141C2311yescharacteristic
346#13133140C2311yescharacteristic
347#13133140C2311yescharacteristic
348#13133140C2311yescharacteristic
349#13133140C2311yescharacteristic
350#13133140C2311yescharacteristic
351#13133140C2311yescharacteristic
352#13133140C2311yescharacteristic
353#13133140C2311yescharacteristic
354#13133140C2311yescharacteristic
355#13133140C2311yescharacteristic
356#13133140C2311yescharacteristic
357#13133140C2311yescharacteristic
358#13133138C2311yescharacteristic
359#13133138C2311yescharacteristic
360#13133138C2311yescharacteristic
361#13133138C2311yescharacteristic
362#13133137C2311yescharacteristic
363#13133137C2311yescharacteristic
364#13133137C2311yescharacteristic
365#13133137C2311yescharacteristic
366C22⋊#88322C2311yescharacteristic
367C22⋊#88322C2311yescharacteristic
368C22⋊#88322C2311yescharacteristic
369C22⋊#88322C2311yescharacteristic
370C22⋊#88322C2311yescharacteristic
371C22⋊#88322C2311yescharacteristic
372#13133128C2311yescharacteristic
373#13133128C2311yescharacteristic
374#13133128C2311yescharacteristic
375#13133128C2311yescharacteristic
376C4×#88322C2311yescharacteristic
377C4×#88322C2311yescharacteristic
378C4×#88322C2311yescharacteristic
379C4×#88322C2311yescharacteristic
380C4×#88322C2311yescharacteristic
381C4×#88322C2311yescharacteristic
382C2×#41×C53C2311yescharacteristic
383C22×Q8×C53C2311yescharacteristic
384C22×Q8×C53C2311yescharacteristic
385C4⋊Q8×C53—21no—
386C4⋊Q8×C53—21no—
387C4⋊Q8×C53C2311yescharacteristic
388C4⋊Q8×C53C2311yescharacteristic
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#126×C53D411yescharacteristic
398#126×C53D411yescharacteristic
399#125×C53—21no—
400#125×C53—21no—
401#125×C53—21no—
402#125×C53—21no—
403#125×C53—21no—
404#125×C53—21no—
405#125×C53D411yescharacteristic
406#125×C53C2311yescharacteristic
407#125×C53C2311yescharacteristic
408#124×C53—21no—
409#124×C53—21no—
410#124×C53—21no—
411#124×C53D411yescharacteristic
412#124×C53C2311yescharacteristic
413#124×C53C2311yescharacteristic
414#123×C53—21no—
415#123×C53—21no—
416#123×C53—21no—
417#123×C53—21no—
418#123×C53D411yescharacteristic
419#123×C53D411yescharacteristic
420C22⋊Q8×C53—21no—
421C22⋊Q8×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×C53C2311yescharacteristic
430C22⋊Q8×C53C2311yescharacteristic
431C22⋊Q8×C53C2311yescharacteristic
432C22⋊Q8×C53C2311yescharacteristic
433#121×C53—21no—
434#121×C53—21no—
435#121×C53—21no—
436#121×C53D411yescharacteristic
437#121×C53C2311yescharacteristic
438#121×C53C2311yescharacteristic
439C4×Q8×C53—21no—
440C4×Q8×C53—21no—
441C4×Q8×C53—21no—
442C4×Q8×C53—21no—
443C4×Q8×C53—21no—
444C4×Q8×C53C2311yescharacteristic
445C4×Q8×C53C2311yescharacteristic
446C4×Q8×C53C2311yescharacteristic
447C4×Q8×C53C2311yescharacteristic
448C4×Q8×C53C2311yescharacteristic
449C4×Q8×C53C2311yescharacteristic
450C4×Q8×C53C2311yescharacteristic
451C4×Q8×C53C2311yescharacteristic
452C4×Q8×C53C2311yescharacteristic
453C4×D4×C53—21no—
454C4×D4×C53—21no—
455C4×D4×C53—21no—
456C4×D4×C53—21no—
457C4×D4×C53—21no—
458C4×D4×C53—21no—
459C4×D4×C53—21no—
460C4×D4×C53—21no—
461C4×D4×C53C2311yescharacteristic
462C4×D4×C53C2311yescharacteristic
463C4×D4×C53C2311yescharacteristic
464C4×D4×C53C2311yescharacteristic
465C4×D4×C53C2311yescharacteristic
466#117×C53—21no—
467#117×C53—21no—
468#117×C53—21no—
469#117×C53—21no—
470#117×C53—21no—
471#117×C53—21no—
472#117×C53C2311yescharacteristic
473#117×C53C2311yescharacteristic
474#117×C53C2311yescharacteristic
475C2×C4⋊C4×C53—21no—
476C2×C4⋊C4×C53—21no—
477C2×C4⋊C4×C53C2311yescharacteristic
478C2×C4⋊C4×C53C2311yescharacteristic
479C2×C42×C53—21no—
480C2×C42×C53C2311yescharacteristic
481#41×C53—22no—
482#41×C53—41no—
483C2×Q8×C53—21no—
484C2×Q8×C53—21no—
485C2×Q8×C53—21no—
486C2×Q8×C53—22no—
487C2×Q8×C53—22no—
488C2×Q8×C53—41no—
489C2×Q8×C53—41no—
490C2×Q8×C53C2×D411yescharacteristic
491C2×Q8×C53C2411yescharacteristic
492C2×Q8×C53C2411yescharacteristic
493C2×Q8×C53C2411yescharacteristic
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—21no—
497C2×D4×C53C2×D411yescharacteristic
498C2×D4×C53C2×D411yescharacteristic
499C2×D4×C53C2×D411yescharacteristic
500C2×D4×C53C2411yescharacteristic
501C22×C4×C53—21no—
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×C53C2×D411yescharacteristic
509C22×C4×C53C2×D411yescharacteristic
510C22×C4×C53C2411yescharacteristic
511C22×C4×C53C2411yescharacteristic
512C22×C4×C53C2411yescharacteristic
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C22×Dic53—21no—
517C22×Dic53—21no—
518C22×Dic53—21no—
519C22×Dic53—21no—
520#11719945—22no—
521#11719945—41no—
522C2×D212C2411yescharacteristic
523C2×C4×D53—21no—
524C2×C4×D53—21no—
525C2×C4×D53—21no—
526C2×Dic106—22no—
527C2×Dic106—22no—
528C2×Dic106—21no—
529C2×Dic106—21no—
530C2×Dic106—21no—
531C2×Dic106—41no—
532C2×Dic106—41no—
533C2×Dic106C2411yescharacteristic
534C2×Dic106C2411yescharacteristic
535C2×Dic106C2411yescharacteristic
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×C53—21no—
550C4⋊C4×C53—21no—
551C4⋊C4×C53—21no—
552C4⋊C4×C53—21no—
553C4⋊C4×C53—21no—
554C4⋊C4×C53—21no—
555C4⋊C4×C53—21no—
556C4⋊C4×C53—21no—
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×C53C2×D411yescharacteristic
566C4⋊C4×C53C2×D411yescharacteristic
567C4⋊C4×C53C2411yescharacteristic
568C4⋊C4×C53C2411yescharacteristic
569C4⋊C4×C53C2411yescharacteristic
570C4⋊C4×C53C2411yescharacteristic
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×C53C2×D411yescharacteristic
585C22⋊C4×C53C2×D411yescharacteristic
586C22⋊C4×C53C2×D411yescharacteristic
587C22⋊C4×C53C2×D411yescharacteristic
588C22⋊C4×C53C2×D411yescharacteristic
589C22⋊C4×C53C2×D411yescharacteristic
590C22⋊C4×C53C2×D411yescharacteristic
591C22⋊C4×C53C2×D411yescharacteristic
592C22⋊C4×C53C2×D411yescharacteristic
593C22⋊C4×C53C2×D411yescharacteristic
594C42×C53—21no—
595C42×C53—21no—
596C42×C53—21no—
597C42×C53—21no—
598C42×C53—21no—
599C42×C53—21no—
600C42×C53—21no—
601C42×C53—21no—
602C42×C53—21no—
603C42×C53C2×D411yescharacteristic
604C42×C53C2×D411yescharacteristic
605C42×C53C2411yescharacteristic
606C42×C53C2411yescharacteristic
607C42×C53C2411yescharacteristic
608C42×C53C2411yescharacteristic
609C22⋊Dic53—21no—
610C22⋊Dic53—21no—
611C22⋊Dic53—21no—
612C22⋊Dic53—21no—
613C22⋊Dic53—21no—
614#11719925—22no—
615#11719925—22no—
616#11719925—22no—
617#11719925—22no—
618#11719925—22no—
619#11719925—41no—
620#11719925—41no—
621#11719925—41no—
622#11719925#4114yes—
623#11719924—22no—
624#11719924—22no—
625#11719924—41no—
626#11719923—22no—
627#11719923—22no—
628#11719923—41no—
629#11719922—41no—
630#11719921—21no—
631#11719921—21no—
632#11719921—21no—
633#11719921—21no—
634#11719921—21no—
635#11719921—21no—
636#11719921—21no—
637#11719921—21no—
638C4⋊Dic53—21no—
639C4⋊Dic53—21no—
640C4⋊Dic53—21no—
641C4⋊Dic53—21no—
642C4⋊Dic53—21no—
643C4⋊Dic53C2411yescharacteristic
644C4⋊Dic53C2411yescharacteristic
645C4⋊Dic53C2411yescharacteristic
646C4⋊Dic53C2411yescharacteristic
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—
662#11719919—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—
671C4×Dic53—21no—
672#11719917—22no—
673#11719917—22no—
674C2×#88322—22no—
675C2×#88322—41no—
676C2×#88322—41no—
677C2×#88322—41no—
678C2×#88322C2411yescharacteristic
679C2×#88322C2411yescharacteristic
680C2×#88322C2411yescharacteristic
681C2×#88322C2411yescharacteristic
682C2×#88322C2411yescharacteristic
683C2×#88322C2411yescharacteristic
684C2×#88322C2411yescharacteristic
685C2×#88322C2411yescharacteristic
686C23×C53—21no—
687C23×C53C22×D411yescharacteristic
688C23×C53C22×D411yescharacteristic
689C23×C53C22×D411yescharacteristic
690C22×D53—21no—
691Q8×C53—21no—
692Q8×C53—21no—
693Q8×C53—21no—
694Q8×C53—21no—
695Q8×C53—21no—
696Q8×C53—41no—
697Q8×C53—42no—
698Q8×C53—42no—
699Q8×C53—81no—
700Q8×C53C2×#4112yes—
701D4×C53—22no—
702D4×C53—22no—
703D4×C53—21no—
704D4×C53—21no—
705D4×C53—41no—
706D4×C53—42no—
707D4×C53—42no—
708D4×C53—81no—
709C2×C4×C53—22no—
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—21no—
718C2×C4×C53—21no—
719C2×C4×C53—21no—
720C2×C4×C53—21no—
721C2×C4×C53—21no—
722C2×C4×C53—21no—
723C2×C4×C53—41no—
724C2×C4×C53—42no—
725C2×C4×C53—42no—
726C2×C4×C53—42no—
727C2×C4×C53—81no—
728C2×C4×C53—81no—
729C2×C4×C53—81no—
730C2×C4×C53—81no—
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×C53C22×D411yescharacteristic
741C2×C4×C53C22×D411yescharacteristic
742C2×C4×C53C2511yescharacteristic
743C22⋊D53—42no—
744C22⋊D53—42no—
745C22⋊D53—81no—
746C2×Dic53—21no—
747C2×Dic53—21no—
748C2×Dic53—21no—
749C2×Dic53—21no—
750C2×Dic53—21no—
751C2×Dic53—21no—
752C2×Dic53—21no—
753C2×Dic53—42no—
754C2×Dic53—42no—
755C2×Dic53—81no—
756C2×Dic53—81no—
757D212—21no—
758D212—21no—
759C4×D53—42no—
760C4×D53—81no—
761C4×D53—81no—
762Dic106—21no—
763Dic106—21no—
764Dic106—21no—
765Dic106—21no—
766Dic106—21no—
767Dic106—42no—
768Dic106—42no—
769Dic106—81no—
770Dic106C2×#4112yes—
771#88322—21no—
772#88322—21no—
773#88322—21no—
774#88322—21no—
775#88322—21no—
776#88322—21no—
777#88322—21no—
778#88322C2×#4112yes—
779#61491—531nomaximal, Sylow
780C22×C53—21no—
781C22×C53—21no—
782C22×C53—21no—
783C22×C53—21no—
784C22×C53—21no—
785C22×C53—21no—
786C22×C53—21no—
787C22×C53—21no—
788C22×C53—41no—
789C22×C53—41no—
790C22×C53—41no—
791C22×C53#57812yes—
792C22×C53C23×D411yescharacteristic
793C2×D53—41no—
794C2×D53—41no—
795C2×D53—41no—
796C4×C53—21no—
797C4×C53—21no—
798C4×C53—21no—
799C4×C53—21no—
800C4×C53—21no—
801C4×C53—21no—
802C4×C53—21no—
803C4×C53—22no—
804C4×C53—21no—
805C4×C53—21no—
806C4×C53—21no—
807C4×C53—21no—
808C4×C53—41no—
809C4×C53—41no—
810C4×C53—41no—
811C4×C53—41no—
812C4×C53—41no—
813C4×C53—41no—
814C4×C53C22×#4111yescharacteristic
815C4×C53#58511yescharacteristic
816Dic53—22no—
817Dic53—41no—
818Dic53—41no—
819Dic53—41no—
820Dic53—41no—
821Dic53—41no—
822Dic53—41no—
823#3516—531no—
824#3516D5311yescharacteristic, complemented
825#3402—531no—
826#3390—531no—
827#3364—531no—
828#3364—531no—
829#3352—531no—
830#3346—531no—
831#3346—531no—
832#3301—531no—
833#3301—531no—
834#3300—531no—
835#3300—531no—
836#3299—531no—
837#3299—531no—
838#3277—531no—
839#3270—531no—
840#3270—531no—
841#3178—531no—
842#3178—531no—
843#3168—531no—
844#3127—531no—
845#3127—531no—
846#3124—531no—
847#3124—531no—
848#3117—531no—
849#3117—531no—
850#2966—531no—
851#2947—531no—
852#2947—531no—
853C2×C4×Q16—531no—
854C2×C53—22no—
855C2×C53—41no—
856C2×C53—41no—
857C2×C53—81no—
858C2×C53D4×#4111yescharacteristic
859C2×C53C2×#57811yescharacteristic
860C2×C53#358411yescharacteristic
861D53—81no—
862C2×#137—531no—
863C2×#137—531no—
864C22×Q16—531no—
865#557—531no—
866#557C2×D5311yescharacteristic
867#556—21no—
868#556—531no—
869#556—1061no—
870#556C2×D5311yescharacteristic
871#554—21no—
872#554—531no—
873#554—1061no—
874#554C2×D5311yescharacteristic
875#553—21no—
876#553—531no—
877#553—1061no—
878#553C2×D5311yescharacteristic
879#552—21no—
880#552—531no—
881#552—1061no—
882#552C2×D5311yescharacteristic
883D4×Q8—531no—
884D4×Q8C2×D5311yescharacteristic
885#548—531no—
886#548—531no—
887#548C2×D5311yescharacteristic
888#548C2×D5311yescharacteristic
889#542—21no—
890#542—531no—
891#542—1061no—
892#542C2×D5311yescharacteristic
893#541—21no—
894#541—531no—
895#541—1061no—
896#541C2×D5311yescharacteristic
897#529—21no—
898#529—21no—
899#529—531no—
900#529—1061no—
901#529—1061no—
902#529C2×D5311yescharacteristic
903#529C2×D5311yescharacteristic
904#520—531no—
905#520C2×D5311yescharacteristic
906#519—531no—
907#519C2×D5311yescharacteristic
908C2×C4×Q8—531no—
909C2×C4×Q8C2×D5311yescharacteristic
910#501—531no—
911#501—531no—
912#499—531no—
913#497—531no—
914#497—531no—
915#495—531no—
916#488—531no—
917#488—531no—
918#488—531no—
919#488—531no—
920#487—531no—
921#487—531no—
922#485—531no—
923#485—531no—
924#485—531no—
925#485—531no—
926#484—531no—
927#484—531no—
928#484—531no—
929#484—531no—
930#481—531no—
931#481—531no—
932#480—531no—
933#480—531no—
934#479—531no—
935#479—531no—
936#479—531no—
937#479—531no—
938#479—531no—
939#479—531no—
940#479—531no—
941#479—531no—
942#477—531no—
943#477—531no—
944#474—531no—
945#474—531no—
946#470—531no—
947#470—531no—
948#468—531no—
949#468—531no—
950#467—531no—
951#467—531no—
952#467—531no—
953#466—531no—
954#465—531no—
955#465—531no—
956#465—531no—
957#465—531no—
958#464—531no—
959#464—531no—
960#464—531no—
961#464—531no—
962#464—531no—
963#464—531no—
964#463—531no—
965#463—531no—
966#462—531no—
967#462—531no—
968#462—531no—
969#462—531no—
970#452—531no—
971#452—531no—
972#451—531no—
973#451—531no—
974#451—531no—
975#451—531no—
976#451—531no—
977#451—531no—
978#449—531no—
979#449—531no—
980#448—531no—
981#448—531no—
982#446—531no—
983C8×Q8—531no—
984#441—531no—
985#441—531no—
986#441—531no—
987#441—531no—
988#441—531no—
989#441—531no—
990#440—531no—
991#440—531no—
992#440—531no—
993#440—531no—
994#440—531no—
995#440—531no—
996C4×Q16—531no—
997C4×Q16—531no—
998C4×Q16—531no—
999C4×Q16—531no—
1000C4×Q16—531no—
1001C4×Q16—531no—
1002C4×Q16—531no—
1003C4×Q16—531no—
1004C4×Q16—531no—
1005C4×Q16—531no—
1006C4×Q16—531no—
1007C4×SD16—531no—
1008C4×SD16—531no—
1009C4×SD16—531no—
1010C4×SD16—531no—
1011C4×D8—531no—
1012#436—531no—
1013#435—531no—
1014#435—531no—
1015C8×D4—531no—
1016C8×D4—531no—
1017C8×D4—531no—
1018#433—531no—
1019#433—531no—
1020#432—531no—
1021#428—531no—
1022#428—531no—
1023C2×#107—531no—
1024#416—531no—
1025#416—531no—
1026C2×#103—531no—
1027C2×#103—531no—
1028C2×#103—531no—
1029C2×#103—531no—
1030#405—531no—
1031#405—531no—
1032C2×C4×C8—531no—
1033C53#6149111yescharacteristic, complemented, Sylow
1034C2×#41—531no—
1035C2×#41C22×D5311yescharacteristic
1036C22×Q8—531no—
1037C22×Q8—531no—
1038C22×Q8C22×D5311yescharacteristic
1039C22×Q8C22×D5311yescharacteristic
1040#137—1064no—
1041#137—1064no—
1042C2×Q16—531no—
1043C2×Q16—531no—
1044C2×Q16—531no—
1045C2×Q16—531no—
1046C2×Q16—531no—
1047C2×Q16—531no—
1048C2×Q16—531no—
1049C2×Q16—531no—
1050C2×Q16—531no—
1051C2×Q16—1064no—
1052C2×SD16—531no—
1053C2×SD16—531no—
1054C2×SD16—531no—
1055C2×SD16—531no—
1056C2×SD16—531no—
1057C2×SD16—531no—
1058C2×D8—531no—
1059C2×M16—531no—
1060C2×M16—531no—
1061C22×C8—531no—
1062C22×C8—531no—
1063C22×C8—531no—
1064C22×C8—531no—
1065C4⋊Q8—21no—
1066C4⋊Q8—21no—
1067C4⋊Q8—531no—
1068C4⋊Q8—531no—
1069C4⋊Q8—1061no—
1070C4⋊Q8—1061no—
1071C4⋊Q8C22×D5311yescharacteristic
1072C4⋊Q8C22×D5311yescharacteristic
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
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#126C22⋊D5311yescharacteristic
1090#126C22⋊D5311yescharacteristic
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—531no—
1098#125—531no—
1099#125—1061no—
1100#125—1061no—
1101#125—1061no—
1102#125—1061no—
1103#125—1061no—
1104#125—1061no—
1105#125C22⋊D5311yescharacteristic
1106#125C22×D5311yescharacteristic
1107#125C22×D5311yescharacteristic
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—531no—
1112#124—531no—
1113#124—1061no—
1114#124—1061no—
1115#124—1061no—
1116#124C22⋊D5311yescharacteristic
1117#124C22×D5311yescharacteristic
1118#124C22×D5311yescharacteristic
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—1061no—
1124#123—1061no—
1125#123—1061no—
1126#123—1061no—
1127#123C22⋊D5311yescharacteristic
1128#123C22⋊D5311yescharacteristic
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—531no—
1138C22⋊Q8—531no—
1139C22⋊Q8—531no—
1140C22⋊Q8—531no—
1141C22⋊Q8—1061no—
1142C22⋊Q8—1061no—
1143C22⋊Q8—1061no—
1144C22⋊Q8—1061no—
1145C22⋊Q8—1061no—
1146C22⋊Q8—1061no—
1147C22⋊Q8—1061no—
1148C22⋊Q8—1061no—
1149C22⋊Q8C22⋊D5311yescharacteristic
1150C22⋊Q8C22×D5311yescharacteristic
1151C22⋊Q8C22×D5311yescharacteristic
1152C22⋊Q8C22×D5311yescharacteristic
1153C22⋊Q8C22×D5311yescharacteristic
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—531no—
1158#121—531no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121C22⋊D5311yescharacteristic
1163#121C22×D5311yescharacteristic
1164#121C22×D5311yescharacteristic
1165C4×Q8—21no—
1166C4×Q8—21no—
1167C4×Q8—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—1061no—
1179C4×Q8—1061no—
1180C4×Q8—1061no—
1181C4×Q8—1061no—
1182C4×Q8—1061no—
1183C4×Q8C22×D5311yescharacteristic
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×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—531no—
1201C4×D4—531no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4C22×D5311yescharacteristic
1211C4×D4C22×D5311yescharacteristic
1212C4×D4C22×D5311yescharacteristic
1213C4×D4C22×D5311yescharacteristic
1214C4×D4C22×D5311yescharacteristic
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—531no—
1222#117—1061no—
1223#117—1061no—
1224#117—1061no—
1225#117—1061no—
1226#117—1061no—
1227#117—1061no—
1228#117C22×D5311yescharacteristic
1229#117C22×D5311yescharacteristic
1230#117C22×D5311yescharacteristic
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—21no—
1233C2×C4⋊C4—531no—
1234C2×C4⋊C4—531no—
1235C2×C4⋊C4—1061no—
1236C2×C4⋊C4—1061no—
1237C2×C4⋊C4C22×D5311yescharacteristic
1238C2×C4⋊C4C22×D5311yescharacteristic
1239C2×C42—21no—
1240C2×C42—1061no—
1241C2×C42C22×D5311yescharacteristic
1242#107—531no—
1243#107—531no—
1244#107—531no—
1245#107—531no—
1246#107—531no—
1247#107—531no—
1248#107—531no—
1249#107—531no—
1250#107—531no—
1251#107—531no—
1252#106—531no—
1253#106—531no—
1254#106—531no—
1255#106—531no—
1256#106—531no—
1257#106—531no—
1258C4⋊C8—531no—
1259C4⋊C8—531no—
1260C4⋊C8—531no—
1261C4⋊C8—531no—
1262C4⋊C8—531no—
1263C4⋊C8—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#103—531no—
1273#103—531no—
1274#103—531no—
1275#103—531no—
1276#103—531no—
1277#103—531no—
1278#103—531no—
1279#103—531no—
1280#103—531no—
1281#103—531no—
1282#103—531no—
1283#103—531no—
1284#103—531no—
1285#103—531no—
1286#103—531no—
1287#103—531no—
1288#102—531no—
1289#102—531no—
1290#102—531no—
1291#102—531no—
1292#102—531no—
1293#102—531no—
1294#102—531no—
1295#102—531no—
1296C22⋊C8—531no—
1297C22⋊C8—531no—
1298C22⋊C8—531no—
1299C22⋊C8—531no—
1300C22⋊C8—531no—
1301C22⋊C8—531no—
1302#97—531no—
1303#97—531no—
1304#97—531no—
1305#97—531no—
1306C4×C8—531no—
1307C4×C8—531no—
1308C4×C8—531no—
1309C4×C8—531no—
1310C4×C8—531no—
1311C4×C8—531no—
1312#41—22no—
1313#41—41no—
1314#41—1062no—
1315#41—2121no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—22no—
1320C2×Q8—22no—
1321C2×Q8—41no—
1322C2×Q8—41no—
1323C2×Q8—531no—
1324C2×Q8—531no—
1325C2×Q8—531no—
1326C2×Q8—1062no—
1327C2×Q8—1062no—
1328C2×Q8—1061no—
1329C2×Q8—1061no—
1330C2×Q8—1061no—
1331C2×Q8—2121no—
1332C2×Q8—2121no—
1333C2×Q8C2×C22⋊D5311yescharacteristic
1334C2×Q8C23×D5311yescharacteristic
1335C2×Q8C23×D5311yescharacteristic
1336C2×Q8C23×D5311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—531no—
1341C2×D4—1061no—
1342C2×D4—1061no—
1343C2×D4—1061no—
1344C2×D4C2×C22⋊D5311yescharacteristic
1345C2×D4C2×C22⋊D5311yescharacteristic
1346C2×D4C2×C22⋊D5311yescharacteristic
1347C2×D4C23×D5311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—1061no—
1356C22×C4—1061no—
1357C22×C4—1061no—
1358C22×C4—1061no—
1359C22×C4—1061no—
1360C22×C4—1061no—
1361C22×C4—1061no—
1362C22×C4C2×C22⋊D5311yescharacteristic
1363C22×C4C2×C22⋊D5311yescharacteristic
1364C22×C4C23×D5311yescharacteristic
1365C22×C4C23×D5311yescharacteristic
1366C22×C4C23×D5311yescharacteristic
1367Q16—534no—
1368Q16—1062no—
1369Q16—1062no—
1370Q16—1062no—
1371Q16—1062no—
1372Q16—1062no—
1373Q16—2121no—
1374Q16—2121no—
1375Q16—2121no—
1376SD16—1062no—
1377SD16—1062no—
1378SD16—1062no—
1379SD16—1062no—
1380SD16—2121no—
1381SD16—2121no—
1382D8—2121no—
1383M16—1062no—
1384M16—1062no—
1385C2×C8—531no—
1386C2×C8—531no—
1387C2×C8—531no—
1388C2×C8—531no—
1389C2×C8—531no—
1390C2×C8—531no—
1391C2×C8—531no—
1392C2×C8—531no—
1393C2×C8—1062no—
1394C2×C8—2121no—
1395C2×C8—2121no—
1396C2×C8—2121no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—531no—
1419C4⋊C4—531no—
1420C4⋊C4—531no—
1421C4⋊C4—531no—
1422C4⋊C4—1061no—
1423C4⋊C4—1061no—
1424C4⋊C4—1061no—
1425C4⋊C4—1061no—
1426C4⋊C4—1061no—
1427C4⋊C4—1061no—
1428C4⋊C4—1061no—
1429C4⋊C4—1061no—
1430C4⋊C4—1061no—
1431C4⋊C4—1061no—
1432C4⋊C4—1061no—
1433C4⋊C4—1061no—
1434C4⋊C4—1061no—
1435C4⋊C4—1061no—
1436C4⋊C4—1061no—
1437C4⋊C4—1061no—
1438C4⋊C4—1061no—
1439C4⋊C4—1061no—
1440C4⋊C4—1061no—
1441C4⋊C4—1061no—
1442C4⋊C4—1061no—
1443C4⋊C4C2×C22⋊D5311yescharacteristic
1444C4⋊C4C2×C22⋊D5311yescharacteristic
1445C4⋊C4C2×C22⋊D5311yescharacteristic
1446C4⋊C4C2×C22⋊D5311yescharacteristic
1447C4⋊C4C2×C22⋊D5311yescharacteristic
1448C4⋊C4C2×C22⋊D5311yescharacteristic
1449C4⋊C4C2×C22⋊D5311yescharacteristic
1450C4⋊C4C2×C22⋊D5311yescharacteristic
1451C4⋊C4C2×C22⋊D5311yescharacteristic
1452C4⋊C4C2×C22⋊D5311yescharacteristic
1453C4⋊C4C23×D5311yescharacteristic
1454C4⋊C4C23×D5311yescharacteristic
1455C4⋊C4C23×D5311yescharacteristic
1456C4⋊C4C23×D5311yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—1061no—
1471C22⋊C4—1061no—
1472C22⋊C4—1061no—
1473C22⋊C4—1061no—
1474C22⋊C4—1061no—
1475C22⋊C4—1061no—
1476C22⋊C4—1061no—
1477C22⋊C4—1061no—
1478C22⋊C4—1061no—
1479C22⋊C4—1061no—
1480C22⋊C4—1061no—
1481C22⋊C4—1061no—
1482C22⋊C4—1061no—
1483C22⋊C4C2×C22⋊D5311yescharacteristic
1484C22⋊C4C2×C22⋊D5311yescharacteristic
1485C22⋊C4C2×C22⋊D5311yescharacteristic
1486C22⋊C4C2×C22⋊D5311yescharacteristic
1487C22⋊C4C2×C22⋊D5311yescharacteristic
1488C22⋊C4C2×C22⋊D5311yescharacteristic
1489C22⋊C4C2×C22⋊D5311yescharacteristic
1490C22⋊C4C2×C22⋊D5311yescharacteristic
1491C22⋊C4C2×C22⋊D5311yescharacteristic
1492C22⋊C4C2×C22⋊D5311yescharacteristic
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—1061no—
1503C42—1061no—
1504C42—1061no—
1505C42—1061no—
1506C42—1061no—
1507C42—1061no—
1508C42—1061no—
1509C42—1061no—
1510C42—1061no—
1511C42C2×C22⋊D5311yescharacteristic
1512C42C2×C22⋊D5311yescharacteristic
1513C42C23×D5311yescharacteristic
1514C42C23×D5311yescharacteristic
1515C42C23×D5311yescharacteristic
1516C42C23×D5311yescharacteristic
1517C23—21no—
1518C23—1061no—
1519C23C22×C22⋊D5311yescharacteristic
1520C23C22×C22⋊D5311yescharacteristic
1521C23C22×C22⋊D5311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—41no—
1528Q8—42no—
1529Q8—42no—
1530Q8—81no—
1531Q8—532no—
1532Q8—1061no—
1533Q8—1061no—
1534Q8—1061no—
1535Q8—1061no—
1536Q8—1061no—
1537Q8—4241no—
1538Q8—2122no—
1539Q8—2122no—
1540Q8#41×D5312yes—
1541D4—22no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—41no—
1546D4—42no—
1547D4—42no—
1548D4—81no—
1549D4—1061no—
1550D4—1061no—
1551D4—4241no—
1552D4—2122no—
1553D4—2122no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—41no—
1569C2×C4—42no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—1061no—
1577C2×C4—1061no—
1578C2×C4—1061no—
1579C2×C4—1061no—
1580C2×C4—1061no—
1581C2×C4—1061no—
1582C2×C4—1061no—
1583C2×C4—4241no—
1584C2×C4—4241no—
1585C2×C4—4241no—
1586C2×C4—4241no—
1587C2×C4—2122no—
1588C2×C4—2122no—
1589C2×C4—2122no—
1590C2×C4C22×C22⋊D5311yescharacteristic
1591C2×C4C22×C22⋊D5311yescharacteristic
1592C2×C4C22×C22⋊D5311yescharacteristic
1593C2×C4C22×C22⋊D5311yescharacteristic
1594C2×C4C22×C22⋊D5311yescharacteristic
1595C2×C4C22×C22⋊D5311yescharacteristic
1596C2×C4C22×C22⋊D5311yescharacteristic
1597C2×C4C22×C22⋊D5311yescharacteristic
1598C2×C4C22×C22⋊D5311yescharacteristic
1599C2×C4C22×C22⋊D5311yescharacteristic
1600C2×C4C22×C22⋊D5311yescharacteristic
1601C2×C4C24×D5311yescharacteristic
1602C8—532no—
1603C8—1061no—
1604C8—1061no—
1605C8—1061no—
1606C8—1061no—
1607C8—1061no—
1608C8—1061no—
1609C8—1061no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—2121no—
1622C22—2121no—
1623C22—2121no—
1624C22#1681143812yes—
1625C22C23×C22⋊D5311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—22no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—1062no—
1645C4—2121no—
1646C4—2121no—
1647C4—2121no—
1648C4—2121no—
1649C4—2121no—
1650C4—2121no—
1651C4C2×#41×D5311yescharacteristic
1652C4#1681145911yescharacteristic
1653C2—22no—
1654C2—41no—
1655C2—41no—
1656C2—81no—
1657C2—4241no—
1658C2#41×C22⋊D5311yescharacteristic
1659C2C2×#1681143811yescharacteristic
1660C2#2028948611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3516C2
socleC22×C53C23×D4
hypercenter#3516D53
hypocenterC53#61491
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #529 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #20288704C2semidirect
2. #20287790C2semidirect
3. #20287678C2semidirect
4. #20287400C2semidirect
5. #20287396C2semidirect
6. #20287284C2semidirect
7. #20287200C2semidirect
8. #20287194C2semidirect
9. #20286617C2semidirect
10. #20286611C2semidirect
11. #20286602C2semidirect
12. #20286596C2semidirect
13. #20286591C2semidirect
14. #20286585C2semidirect
15. #20286368C2semidirect
16. #20286286C2semidirect
17. #20286281C2semidirect
18. #20285385C2semidirect
19. #20285377C2semidirect
20. #20285279C2semidirect
21. #20285015C2semidirect
22. #20285010C2semidirect
23. #20284977C2semidirect
24. #20284971C2semidirect
25. #20284886C2semidirect
26. #20284882C2semidirect
27. #20283691C2semidirect
28. #20283558C2semidirect
29. #20283554C2semidirect
30. C2×C4×#11719925C2semidirect
31. C53×#3516C2semidirect
824. #3516D53semidirect
1033. C53#61491semidirect

Maximal subgroups

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

subgroupindex
#202887042
#202877902
#202876782
#202874002
#202873962
#202872842
#202872002
#202871942
#202866172
#202866112
#202866022
#202865962
#202865912
#202865852
#202863682
#202862862
#202862812
#202853852
#202853772
#202852792
#202850152
#202850102
#202849772
#202849712
#202848862
#202848822
#202836912
#202835582
#202835542
C2×C4×#117199252
C53×#35162
#6149153