Finite Group Databasebeta

← #29470632

Subgroups — #29470632

Order 15104.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437712C211yesmaximal, characteristic, complemented
2#21437583C211yesmaximal, characteristic, complemented
3#21437119C211yesmaximal, characteristic, complemented
4#21437020C211yesmaximal, characteristic, complemented
5#21436826C211yesmaximal, characteristic, complemented
6#21436811C211yesmaximal, characteristic, complemented
7#21436539C211yesmaximal, characteristic, complemented
8#21436530C211yesmaximal, characteristic, complemented
9#21436438C211yesmaximal, characteristic, complemented
10#21436119C211yesmaximal, characteristic, complemented
11#21436112C211yesmaximal, characteristic, complemented
12#21436088C211yesmaximal, characteristic, complemented
13#21435957C211yesmaximal, characteristic, complemented
14#21435904C211yesmaximal, characteristic, complemented
15#21435785C211yesmaximal, characteristic, complemented
16#21435594C211yesmaximal, characteristic, complemented
17#21435592C211yesmaximal, characteristic, complemented
18#21434809C211yesmaximal, characteristic, complemented
19#21434797C211yesmaximal, characteristic, complemented
20#21434789C211yesmaximal, characteristic, complemented
21#21434240C211yesmaximal, characteristic, complemented
22#21434233C211yesmaximal, characteristic, complemented
23#21434231C211yesmaximal, characteristic, complemented
24#21434220C211yesmaximal, characteristic, complemented
25#21434213C211yesmaximal, characteristic, complemented
26#21434192C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432909C211yesmaximal, characteristic, complemented
29C2×#16837505C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273752C2211yescharacteristic
34C22×#11745671C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic
36#16838128C2211yescharacteristic, complemented
37#16838121—21no—
38#16838121C2211yescharacteristic, complemented
39#16838092—21no—
40#16838092C2211yescharacteristic, complemented
41#16838086—21no—
42#16838086C2211yescharacteristic, complemented
43#16838073C2211yescharacteristic
44#16838067C2211yescharacteristic
45Q8×C22⋊D59C2211yescharacteristic, complemented
46#16838062—21no—
47#16838059C2211yescharacteristic, complemented
48#16838053C2211yescharacteristic
49#16838053C2211yescharacteristic
50#16838052—21no—
51#16838052C2211yescharacteristic, complemented
52#16838044—21no—
53#16838044—21no—
54#16838040—21no—
55D4×D236C2211yescharacteristic
56#16838036C2211yescharacteristic
57#16838036C2211yescharacteristic
58#16837954—21no—
59#16837954C2211yescharacteristic, complemented
60#16837953C2211yescharacteristic
61#16837947C2211yescharacteristic
62#16837947C2211yescharacteristic
63#16837933—21no—
64#16837933C2211yescharacteristic, complemented
65#16837931—21no—
66#16837931C2211yescharacteristic, complemented
67#16837915—21no—
68#16837910—21no—
69#16837910—21no—
70#41×Dic59C2211yescharacteristic, complemented
71C4×#11745687—21no—
72C4×#11745687C2211yescharacteristic
73C2×Q8×Dic59C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic
76C2×#14273689C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837737C2211yescharacteristic, complemented
90#16837732C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837716C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic
100#16837705C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic
102#16837702C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837695C2211yescharacteristic, complemented
105#16837694C2211yescharacteristic, complemented
106#16837685C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837616C2211yescharacteristic
121#16837616C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic
123#16837606C2211yescharacteristic
124#16837606C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837555C2211yescharacteristic
132#16837555C2211yescharacteristic
133#16837552C2211yescharacteristic
134#16837551C2211yescharacteristic
135#16837547C2211yescharacteristic, complemented
136#16837542C2211yescharacteristic, complemented
137#16837542C2211yescharacteristic, complemented
138#16837541C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic
145#16837511C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic
148#16837505C2211yescharacteristic
149#16837505C2211yescharacteristic
150#16837505C2211yescharacteristic
151#16837505C2211yescharacteristic, complemented
152#16837505C2211yescharacteristic, complemented
153#16837505C2211yescharacteristic, complemented
154#16837505C2211yescharacteristic, complemented
155#16837505C2211yescharacteristic, complemented
156#16837505C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic
158#16837503C2211yescharacteristic, complemented
159#16837503C2211yescharacteristic, complemented
160#16837502C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic
162#16837501C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic
165#16837499C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic
167#16837487C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837442C2211yescharacteristic, complemented
179C2×#14273660C2211yescharacteristic, complemented
180#107×D59C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic
182#103×D59C2211yescharacteristic, complemented
183C2×#14273649C2211yescharacteristic
184#102×D59C2211yescharacteristic
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#548C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687D411yescharacteristic
211#41×D59—48no—
212C2×Q8×D59—21no—
213C2×Q8×D59C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×D236C2311yescharacteristic
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59C2311yescharacteristic
220C22×C4×D59—21no—
221C22×C4×D59—21no—
222C22×C4×D59—21no—
223#14273752—24no—
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671—24no—
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235SD16×D59—24no—
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C22×C59⋊C8C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243#14273726—21no—
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273725—21no—
248#14273725C2311yescharacteristic
249#14273724C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273719—21no—
259#14273719C2311yescharacteristic
260#14273718—21no—
261#14273718C2311yescharacteristic
262#14273717—21no—
263#14273717—21no—
264#14273717—21no—
265#14273716—21no—
266#14273714—21no—
267#14273714C2311yescharacteristic
268#14273713—21no—
269#14273713—21no—
270#14273712—21no—
271#14273712—21no—
272#14273710—21no—
273#14273710—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273708—21no—
278#14273708—21no—
279#14273708—21no—
280#14273706—21no—
281#14273706—21no—
282#14273706C2311yescharacteristic
283#14273706C2311yescharacteristic
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273703—21no—
292#14273703—21no—
293#14273703C2311yescharacteristic
294#14273702—21no—
295#14273702—21no—
296#14273702C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273701—21no—
299#14273701C2311yescharacteristic
300#14273701C2311yescharacteristic
301#14273700—21no—
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273699—21no—
306#14273699—21no—
307#14273698—21no—
308#14273698C2311yescharacteristic
309#14273697—21no—
310#14273697—21no—
311#14273697—21no—
312#14273697—21no—
313#14273695—21no—
314#14273695—21no—
315Q8×Dic59—21no—
316Q8×Dic59—21no—
317Q8×Dic59C2311yescharacteristic
318Q8×Dic59C2311yescharacteristic
319Q8×Dic59C2311yescharacteristic
320Q8×Dic59C2311yescharacteristic
321Q8×Dic59C2311yescharacteristic
322C4×Dic118—21no—
323C4×Dic118—21no—
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326#14273692—21no—
327#14273692—21no—
328#14273692D411yescharacteristic
329#14273692C2311yescharacteristic
330C4×D236C2311yescharacteristic
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59D411yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338#14273689—21no—
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4D411yescharacteristic
360(C22⋊D59)⋊C4D411yescharacteristic
361#14273686—21no—
362#14273686C2311yescharacteristic
363#14273685—21no—
364#14273685D411yescharacteristic
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370#14273683D411yescharacteristic
371#14273683D411yescharacteristic
372C2×C4⋊Dic59—21no—
373C2×C4⋊Dic59C2311yescharacteristic
374C4⋊C4×D59—21no—
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59—21no—
382C2×C4×Dic59C2311yescharacteristic
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C2×#41×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451#123×C59—21no—
452C22⋊Q8×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59C2311yescharacteristic
455#121×C59—21no—
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×D4×C59—21no—
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C2×C4⋊C4×C59C2311yescharacteristic
464C2×C4⋊C4×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487#41×C59—44no—
488C2×Q8×C59—21no—
489C2×Q8×C59—21no—
490C2×Q8×C59—22no—
491C2×Q8×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59C2×D411yescharacteristic
523C22×Dic59C2×D411yescharacteristic
524C22×Dic59C2×D411yescharacteristic
525C22×Dic59C2×D411yescharacteristic
526#11745689—44no—
527Q8×D59—22no—
528Q8×D59—41no—
529Q8×D59—44no—
530#11745687—24no—
531#11745687—44no—
532#11745687—44no—
533#11745687—44no—
534D4×D59—22no—
535D4×D59—41no—
536D4×D59—44no—
537D4×D59—44no—
538D4×D59—44no—
539#11745685—44no—
540#11745685—44no—
541#11745685—44no—
542C2×D236—22no—
543C2×D236—22no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—41no—
551C2×D236—41no—
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—44no—
567C2×C4×D59—44no—
568C2×C4×D59—44no—
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2411yescharacteristic
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118—21no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578SD16×C59—22no—
579SD16×C59—41no—
580D8×C59—41no—
581M16×C59—41no—
582C2×C8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59—21no—
607C42×C59C2411yescharacteristic
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59C2×D411yescharacteristic
618C22⋊Dic59C2×D411yescharacteristic
619#11745671—22no—
620#11745671—22no—
621#11745671—22no—
622#11745671—22no—
623#11745671—41no—
624#11745671#4114yescomplemented
625#11745670—22no—
626#11745669—22no—
627#11745669—22no—
628#11745669—41no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—22no—
693C2×C59⋊C8—22no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698#11745660—22no—
699#11745660—41no—
700#11745660—41no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59C22×D411yescharacteristic
706C23×C59C22×D411yescharacteristic
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—42no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—42no—
724Q8×C59—42no—
725Q8×C59C2×#4112yescomplemented
726D4×C59—22no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—42no—
732D4×C59—42no—
733D4×C59—42no—
734D4×C59—42no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—42no—
749C2×C4×C59—42no—
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C2511yescharacteristic
755C22⋊D59—22no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59AGL(1,ℤ/8)14yescomplemented
765C2×Dic59—22no—
766C2×Dic59—22no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—41no—
773C2×Dic59—41no—
774C2×Dic59—42no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59—42no—
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—42no—
791D236—42no—
792D236—42no—
793D236—42no—
794D236—42no—
795D236—81no—
796D236C2×#4112yes—
797C4×D59—22no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—41no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—42no—
812Dic118—22no—
813Dic118—21no—
814Dic118—21no—
815Dic118—42no—
816Dic118—42no—
817Dic118—42no—
818Dic118—42no—
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8C2×#4112yescomplemented
827#61452—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59C2×AGL(1,ℤ/8)12yes—
840C22×C59C23×D411yescharacteristic
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—22no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—84no—
853C2×D59—84no—
854C2×D59—84no—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C4×C59—21no—
857C4×C59—22no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59C22×#4111yescharacteristic
867C4×C59#58511yescharacteristic
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59C2×AGL(1,ℤ/8)12yes—
880#3482—591no—
881D4×#41—591no—
882#3397—591no—
883#3386—591no—
884#3368—591no—
885#3367—591no—
886#3343—591no—
887#3343—591no—
888#3334—591no—
889#3310—591no—
890#3310—591no—
891#3308—591no—
892#3308D5911yescharacteristic, complemented
893#3298—591no—
894#3294—591no—
895D4×SD16—591no—
896#3265—591no—
897#3265—591no—
898#3182—591no—
899#3180—591no—
900#3180—591no—
901#3115—591no—
902#3114—591no—
903#3114—591no—
904#3112—591no—
905#3112—591no—
906#3110—591no—
907#2970—591no—
908C4×AGL(1,ℤ/8)—591no—
909C2×#440—591no—
910C2×#440—591no—
911C2×C59—22no—
912C2×C59—41no—
913C2×C59—81no—
914C2×C59—81no—
915C2×C59D4×#4111yescharacteristic
916C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
917C2×C59#358611yescharacteristic
918D59—22no—
919D59—42no—
920D59—81no—
921D59—81no—
922C22×#41—1181no—
923C2×AGL(1,ℤ/8)—591no—
924C22×SD16—591no—
925C22×SD16—591no—
926#557—591no—
927#556—591no—
928#556—1181no—
929#552—591no—
930#552—591no—
931#552—1181no—
932#552—1181no—
933#550—591no—
934D4×Q8—591no—
935D4×Q8—591no—
936#548—591no—
937#548—1181no—
938#548C2×D5911yescharacteristic, complemented
939#547—591no—
940#547—591no—
941#547—591no—
942#547—1181no—
943#547C2×D5911yescharacteristic
944#546—1181no—
945#546—1181no—
946#546—1181no—
947D42—591no—
948D42—591no—
949D42—591no—
950#533—591no—
951#533—1181no—
952#532—591no—
953#532—591no—
954#532—591no—
955#529—591no—
956#529—591no—
957#529—1181no—
958#529—1181no—
959#525—1181no—
960#525—1181no—
961#525—1181no—
962C4×#41—591no—
963C4×#41—591no—
964C4×#41—1181no—
965C2×C4×Q8—591no—
966C2×C4×Q8—591no—
967C2×C4×D4—591no—
968C2×C4×D4—591no—
969C2×C4×D4—591no—
970#501—591no—
971#501—591no—
972#500—591no—
973#496—591no—
974#496—591no—
975#492—591no—
976#490—591no—
977#490—591no—
978#489—591no—
979#489C2×D5911yescharacteristic, complemented
980#487—591no—
981#486—591no—
982#484—591no—
983#484C2×D5911yescharacteristic, complemented
984#483—591no—
985#483—591no—
986#482—591no—
987#482—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#480—591no—
992#480—591no—
993#480C2×D5911yescharacteristic, complemented
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#477—591no—
999#477—591no—
1000#477—591no—
1001#477C2×D5911yescharacteristic, complemented
1002#475—591no—
1003#474—591no—
1004#474—591no—
1005#474—591no—
1006#468—591no—
1007#468—591no—
1008#468—591no—
1009#468C2×D5911yescharacteristic, complemented
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#466C2×D5911yescharacteristic, complemented
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#465—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463C2×D5911yescharacteristic, complemented
1022#461—591no—
1023#461—591no—
1024#460—591no—
1025#460—591no—
1026#460—591no—
1027#460—591no—
1028#460—591no—
1029#459—591no—
1030#450—591no—
1031#450—591no—
1032#450—591no—
1033#450—591no—
1034#449—591no—
1035#449C2×D5911yescharacteristic, complemented
1036#448—591no—
1037#448—591no—
1038#448—591no—
1039#448C2×D5911yescharacteristic, complemented
1040#447—591no—
1041#447—591no—
1042#446—591no—
1043#446—591no—
1044#442—591no—
1045#442—591no—
1046#442—591no—
1047#442—591no—
1048#440—591no—
1049#440—591no—
1050#440—591no—
1051#440—591no—
1052#440—591no—
1053#440—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067#440C2×D5911yescharacteristic, complemented
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×D8—591no—
1071C4×D8—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435C2×D5911yescharacteristic, complemented
1076C8×D4—591no—
1077C8×D4—591no—
1078#432—591no—
1079#432—591no—
1080#432—591no—
1081#428—591no—
1082C2×#107—591no—
1083C2×#107—591no—
1084#418—591no—
1085#417C2×D5911yescharacteristic, complemented
1086C2×#103—591no—
1087C2×#103C2×D5911yescharacteristic, complemented
1088C2×#102—591no—
1089C2×#102—591no—
1090C4×M16—591no—
1091C2×#97—591no—
1092C2×#97—591no—
1093C59#6145211yescharacteristic, complemented, Sylow
1094C2×#41—21no—
1095C2×#41—591no—
1096C2×#41—1181no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—2368no—
1104C2×#41C22×D5911yescharacteristic
1105C22×Q8—591no—
1106C22×Q8—1181no—
1107C22×Q8C22×D5911yescharacteristic
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—1181no—
1112C22×D4—1181no—
1113C22×D4—1181no—
1114C23×C4—1181no—
1115C23×C4—1181no—
1116C23×C4—1181no—
1117AGL(1,ℤ/8)—1184no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—1184no—
1129C2×SD16—1184no—
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8C22×D5911yescharacteristic
1136C2×M16—591no—
1137C2×M16C22×D5911yescharacteristic
1138C22×C8—591no—
1139C22×C8—591no—
1140C22×C8—591no—
1141C22×C8C22×D5911yescharacteristic
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—591no—
1146C4⋊Q8—1181no—
1147C4⋊Q8—1181no—
1148C4⋊Q8C22×D5911yescharacteristic
1149#127—591no—
1150#127—591no—
1151#127—591no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#125—591no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#124—21no—
1166#124—591no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124C22×D5911yescharacteristic
1172#123—21no—
1173#123—21no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—591no—
1187C22⋊Q8—591no—
1188C22⋊Q8—591no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8—1181no—
1192C22⋊Q8—1181no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8C22×D5911yescharacteristic
1201#121—21no—
1202#121—591no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—1181no—
1208#121—1181no—
1209#121—1181no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121C22×D5911yescharacteristic
1218#121C22×D5911yescharacteristic
1219#121C22×D5911yescharacteristic
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223#120—1181no—
1224#120—1181no—
1225#120—1181no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—591no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8—1181no—
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—591no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4C22×D5911yescharacteristic
1275C4×D4C22×D5911yescharacteristic
1276#117—591no—
1277#117—591no—
1278#117—591no—
1279#117—591no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284#117—1181no—
1285#117—1181no—
1286#117—1181no—
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—1181no—
1291C2×C4⋊C4—1181no—
1292C2×C4⋊C4C22×D5911yescharacteristic
1293C2×C4⋊C4C22×D5911yescharacteristic
1294C2×C22⋊C4—1181no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C42—591no—
1298C2×C42—591no—
1299C2×C42—591no—
1300C2×C42—1181no—
1301C2×C42—1181no—
1302C2×C42—1181no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107C22×D5911yescharacteristic
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317#106—591no—
1318#106—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8C22×D5911yescharacteristic
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103C22×D5911yescharacteristic
1332#103C22×D5911yescharacteristic
1333#103C22×D5911yescharacteristic
1334#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8C22×D5911yescharacteristic
1362C22⋊C8C22×D5911yescharacteristic
1363#97—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369#97—591no—
1370#97C22×D5911yescharacteristic
1371C4×C8—591no—
1372C4×C8—591no—
1373C24—1181no—
1374C24—1181no—
1375C24—1181no—
1376#41—22no—
1377#41—41no—
1378#41—44no—
1379#41—1184no—
1380#41—2364no—
1381#41—2364no—
1382#41—2364no—
1383#41—2364no—
1384#41—2364no—
1385#41—2364no—
1386#41—2364no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—22no—
1390C2×Q8—41no—
1391C2×Q8—591no—
1392C2×Q8—591no—
1393C2×Q8—1181no—
1394C2×Q8—1181no—
1395C2×Q8—1181no—
1396C2×Q8—1181no—
1397C2×Q8—1182no—
1398C2×Q8—2361no—
1399C2×Q8—2364no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—1182no—
1412C2×D4—1182no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1182no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4—2364no—
1432C2×D4—2364no—
1433C2×D4—2364no—
1434C2×D4D4×D5911yescharacteristic
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—2364no—
1465C22×C4—2364no—
1466C22×C4—2364no—
1467C22×C4C23×D5911yescharacteristic
1468C22×C4C23×D5911yescharacteristic
1469SD16—22no—
1470SD16—41no—
1471SD16—594no—
1472SD16—1182no—
1473SD16—1182no—
1474SD16—1182no—
1475SD16—1182no—
1476SD16—1182no—
1477SD16—1182no—
1478SD16—2361no—
1479SD16—2361no—
1480SD16—2361no—
1481D8—41no—
1482D8—1182no—
1483D8—1182no—
1484D8—2361no—
1485M16—41no—
1486M16—1182no—
1487C2×C8—41no—
1488C2×C8—591no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—1182no—
1493C2×C8—1182no—
1494C2×C8—2361no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4D4×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4D4×D5911yescharacteristic
1574C22⋊C4D4×D5911yescharacteristic
1575C42—21no—
1576C42—591no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42—1181no—
1593C42C23×D5911yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—591no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23—2362no—
1604C23—2362no—
1605C23—2362no—
1606C23—2362no—
1607C23—2362no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610C23C2×D4×D5911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—42no—
1615Q8—42no—
1616Q8—1182no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—2362no—
1620Q8—2362no—
1621Q8—2362no—
1622Q8—2362no—
1623Q8#41×D5912yescomplemented
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—42no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—594no—
1634D4—592no—
1635D4—1182no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—2362no—
1645D4—2362no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—591no—
1677C2×C4—1182no—
1678C2×C4—1182no—
1679C2×C4—1182no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—2361no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4—2362no—
1697C2×C4—2362no—
1698C2×C4—2362no—
1699C2×C4—2362no—
1700C2×C4—2361no—
1701C2×C4—2361no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4—2362no—
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C2×D4×D5911yescharacteristic
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C24×D5911yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—21no—
1714C8—592no—
1715C8—1181no—
1716C8—1181no—
1717C8—1181no—
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—592no—
1730C22—1181no—
1731C22—1181no—
1732C22—1182no—
1733C22—4724no—
1734C22—4724no—
1735C22—4724no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22AGL(1,ℤ/8)×D5912yes—
1745C22C22×D4×D5911yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—22no—
1750C4—21no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—592no—
1757C4—1181no—
1758C4—1181no—
1759C4—1181no—
1760C4—1181no—
1761C4—1181no—
1762C4—1181no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4C2×#41×D5911yescharacteristic
1769C4#1683823711yescharacteristic
1770C2—22no—
1771C2—41no—
1772C2—81no—
1773C2—81no—
1774C2—1182no—
1775C2—4721no—
1776C2—4721no—
1777C2—2362no—
1778C2#2143758011yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1780C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3308C2
socleC22×C59C23×D4
hypercenter#3308D59
hypocenterC59#61452
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21437712C2semidirect
2. #21437583C2semidirect
3. #21437119C2semidirect
4. #21437020C2semidirect
5. #21436826C2semidirect
6. #21436811C2semidirect
7. #21436539C2semidirect
8. #21436530C2semidirect
9. #21436438C2semidirect
10. #21436119C2semidirect
11. #21436112C2semidirect
12. #21436088C2semidirect
13. #21435957C2semidirect
14. #21435904C2semidirect
15. #21435785C2semidirect
16. #21435594C2semidirect
17. #21435592C2semidirect
18. #21434809C2semidirect
19. #21434797C2semidirect
20. #21434789C2semidirect
21. #21434240C2semidirect
22. #21434233C2semidirect
23. #21434231C2semidirect
24. #21434220C2semidirect
25. #21434213C2semidirect
26. #21434192C2semidirect
27. #21433106C2semidirect
28. #21432909C2semidirect
29. C2×#16837505C2semidirect
30. #440×D59C2semidirect
31. C59×#3308C2semidirect
36. #16838128C22semidirect
38. #16838121C22semidirect
40. #16838092C22semidirect
42. #16838086C22semidirect
45. Q8×C22⋊D59C22semidirect
47. #16838059C22semidirect
51. #16838052C22semidirect
59. #16837954C22semidirect
64. #16837933C22semidirect
66. #16837931C22semidirect
70. #41×Dic59C22semidirect
73. C2×Q8×Dic59C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837806C22semidirect
81. #16837792C22semidirect
82. #16837790C22semidirect
83. #16837773C22semidirect
84. #16837767C22semidirect
85. #16837765C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837737C22semidirect
90. #16837732C22semidirect
91. #16837731C22semidirect
92. #16837727C22semidirect
93. #16837723C22semidirect
94. #16837717C22semidirect
95. #16837717C22semidirect
96. #16837716C22semidirect
97. #16837714C22semidirect
98. #16837713C22semidirect
100. #16837705C22semidirect
102. #16837702C22semidirect
103. #16837695C22semidirect
104. #16837695C22semidirect
105. #16837694C22semidirect
106. #16837685C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837650C22semidirect
111. #16837648C22semidirect
112. #16837646C22semidirect
113. #16837637C22semidirect
114. #16837637C22semidirect
115. #16837636C22semidirect
116. #16837634C22semidirect
117. #16837634C22semidirect
118. #16837631C22semidirect
119. #16837629C22semidirect
121. #16837616C22semidirect
124. #16837606C22semidirect
125. #16837603C22semidirect
126. #16837602C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837595C22semidirect
135. #16837547C22semidirect
136. #16837542C22semidirect
137. #16837542C22semidirect
138. #16837541C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837514C22semidirect
145. #16837511C22semidirect
146. #16837511C22semidirect
151. #16837505C22semidirect
152. #16837505C22semidirect
153. #16837505C22semidirect
154. #16837505C22semidirect
155. #16837505C22semidirect
156. #16837505C22semidirect
158. #16837503C22semidirect
159. #16837503C22semidirect
160. #16837502C22semidirect
162. #16837501C22semidirect
163. #16837501C22semidirect
165. #16837499C22semidirect
167. #16837487C22semidirect
169. #16837482C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837471C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837442C22semidirect
179. C2×#14273660C22semidirect
180. #107×D59C22semidirect
182. #103×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#548C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
624. #11745671#41semidirect
725. Q8×C59C2×#41semidirect
764. C22⋊D59AGL(1,ℤ/8)semidirect
826. C59⋊C8C2×#41semidirect
892. #3308D59semidirect
938. #548C2×D59semidirect
979. #489C2×D59semidirect
983. #484C2×D59semidirect
993. #480C2×D59semidirect
1001. #477C2×D59semidirect
1009. #468C2×D59semidirect
1013. #466C2×D59semidirect
1021. #463C2×D59semidirect
1035. #449C2×D59semidirect
1039. #448C2×D59semidirect
1067. #440C2×D59semidirect
1075. #435C2×D59semidirect
1085. #417C2×D59semidirect
1087. C2×#103C2×D59semidirect
1093. C59#61452semidirect
1623. Q8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377122
#214375832
#214371192
#214370202
#214368262
#214368112
#214365392
#214365302
#214364382
#214361192
#214361122
#214360882
#214359572
#214359042
#214357852
#214355942
#214355922
#214348092
#214347972
#214347892
#214342402
#214342332
#214342312
#214342202
#214342132
#214341922
#214331062
#214329092
C2×#168375052
#440×D592
C59×#33082
#6145259