Finite Group Databasebeta

← #30576109

Subgroups — #30576109

Order 15616.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459828C211yesmaximal, characteristic, complemented
2#21459432C211yesmaximal, characteristic, complemented
3#21458748C211yesmaximal, characteristic, complemented
4#21458737C211yesmaximal, characteristic, complemented
5#21458556C211yesmaximal, characteristic, complemented
6#21458534C211yesmaximal, characteristic, complemented
7#21458412C211yesmaximal, characteristic, complemented
8#21458401C211yesmaximal, characteristic, complemented
9#21458352C211yesmaximal, characteristic, complemented
10#21458348C211yesmaximal, characteristic, complemented
11#21458333C211yesmaximal, characteristic, complemented
12#21458327C211yesmaximal, characteristic, complemented
13#21458111C211yesmaximal, characteristic, complemented
14#21458100C211yesmaximal, characteristic, complemented
15#21458008C211yesmaximal, characteristic, complemented
16#21458004C211yesmaximal, characteristic, complemented
17#21457888C211yesmaximal, characteristic, complemented
18#21457884C211yesmaximal, characteristic, complemented
19#21457219C211yesmaximal, characteristic, complemented
20#21457215C211yesmaximal, characteristic, complemented
21#21457155C211yesmaximal, characteristic, complemented
22#21457058C211yesmaximal, characteristic, complemented
23#21456977C211yesmaximal, characteristic, complemented
24#21455995C211yesmaximal, characteristic, complemented
25#21455992C211yesmaximal, characteristic, complemented
26#21455842C211yesmaximal, characteristic, complemented
27#21455622C211yesmaximal, characteristic, complemented
28#21455620C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454938C211yesmaximal, characteristic, complemented
31C61×#3240C211yesmaximal, characteristic, complemented
32#16840492C2211yescharacteristic
33#16840489C2211yescharacteristic
34#16840486C2211yescharacteristic
35#16840484—21no—
36#16840484—21no—
37#16840483—21no—
38#16840481C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840480C2211yescharacteristic
41#16840479—21no—
42#16840478C2211yescharacteristic
43#16840475C2211yescharacteristic
44#16840475C2211yescharacteristic
45#16840454C2211yescharacteristic
46#16840450C2211yescharacteristic
47#16840449—21no—
48#16840448—21no—
49#16840427C2211yescharacteristic
50#16840425C2211yescharacteristic
51#16840422—21no—
52#16840420C2211yescharacteristic
53#16840418C2211yescharacteristic
54#16840412C2211yescharacteristic
55#16840410—21no—
56#16840384—21no—
57#16840382—21no—
58#16840382—21no—
59#16840318C2211yescharacteristic
60#16840318C2211yescharacteristic
61#16840316C2211yescharacteristic
62#16840315—21no—
63#16840297C2211yescharacteristic
64#16840297C2211yescharacteristic
65#16840296C2211yescharacteristic
66#16840294C2211yescharacteristic
67#16840292—21no—
68#16840290—21no—
69#16840238—21no—
70C4×#11758222C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C2×C4×Dic122C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840166C2211yescharacteristic
78#16840159C2211yescharacteristic
79#16840120C2211yescharacteristic
80#16840120C2211yescharacteristic
81#16840111C2211yescharacteristic
82#16840111C2211yescharacteristic
83#16840106C2211yescharacteristic
84#16840106C2211yescharacteristic
85#16840106C2211yescharacteristic
86#16840105C2211yescharacteristic
87#16840105C2211yescharacteristic
88#16840102C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840099C2211yescharacteristic
91#16840098C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840082C2211yescharacteristic
96#16840081C2211yescharacteristic
97#16840070C2211yescharacteristic
98#16840070C2211yescharacteristic
99#16840069C2211yescharacteristic
100#16840068C2211yescharacteristic
101#16840066C2211yescharacteristic
102#16840066C2211yescharacteristic
103#16840066C2211yescharacteristic
104#16840066C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840062C2211yescharacteristic
107#16840061C2211yescharacteristic
108#16840059C2211yescharacteristic
109#16840056C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840055C2211yescharacteristic
112#16840054C2211yescharacteristic
113#16840054C2211yescharacteristic
114#16840050C2211yescharacteristic
115#16840046C2211yescharacteristic
116#16840046C2211yescharacteristic
117#16840046C2211yescharacteristic
118#16840045C2211yescharacteristic
119#16840044C2211yescharacteristic
120#16840044C2211yescharacteristic
121#16840041C2211yescharacteristic
122#16840040C2211yescharacteristic
123#16840021C2211yescharacteristic
124#16840018C2211yescharacteristic
125#16840014C2211yescharacteristic
126#16840013C2211yescharacteristic
127#16840010C2211yescharacteristic
128#16840009C2211yescharacteristic
129#16840007C2211yescharacteristic
130#16840006C2211yescharacteristic
131#16840004C2211yescharacteristic
132#16840002C2211yescharacteristic
133#16839994C2211yescharacteristic
134#16839992C2211yescharacteristic
135#16839985C2211yescharacteristic
136#16839985C2211yescharacteristic
137#16839984C2211yescharacteristic
138#16839983C2211yescharacteristic
139#16839981C2211yescharacteristic
140#16839977C2211yescharacteristic
141#16839976C2211yescharacteristic
142#16839974C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839925C2211yescharacteristic
146#16839920C2211yescharacteristic
147#16839919C2211yescharacteristic
148#16839908C2211yescharacteristic
149#16839903C2211yescharacteristic
150#16839902C2211yescharacteristic
151#16839890C2211yescharacteristic
152#16839890C2211yescharacteristic
153#16839870C2211yescharacteristic
154#16839870C2211yescharacteristic
155#16839868C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839865C2211yescharacteristic
158#16839864C2211yescharacteristic
159#16839864C2211yescharacteristic
160#16839861C2211yescharacteristic
161#16839856C2211yescharacteristic
162#16839853C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839842C2211yescharacteristic
165#16839837C2211yescharacteristic
166#16839837C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839836C2211yescharacteristic
169#16839835C2211yescharacteristic
170#16839835C2211yescharacteristic
171#16839818C2211yescharacteristic
172#16839814C2211yescharacteristic
173#16839805C2211yescharacteristic
174#16839805C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839801C2211yescharacteristic
177#16839799C2211yescharacteristic
178#16839797C2211yescharacteristic
179#16839786C2211yescharacteristic
180#16839784C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839770C2211yescharacteristic
183#16839770C2211yescharacteristic
184#16839769C2211yescharacteristic
185#16839769C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#533C2211yescharacteristic
189C61×#529C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#489C2211yescharacteristic
194C61×#485C2211yescharacteristic
195C61×#485C2211yescharacteristic
196C61×#482C2211yescharacteristic
197C61×#482C2211yescharacteristic
198C61×#479C2211yescharacteristic
199C61×#479C2211yescharacteristic
200C61×#478C2211yescharacteristic
201C61×#478C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758222D411yescharacteristic
204C2×#11758224—21no—
205C2×#11758224C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61—21no—
208C2×Q8×D61C2311yescharacteristic
209C2×Dic244C2311yescharacteristic
210C2×Dic244C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×#11758199C2311yescharacteristic
217C2×#11758194C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519775—21no—
233#14519775C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519771—21no—
241#14519771—21no—
242#14519771—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519766—21no—
256#14519766—21no—
257#14519766—21no—
258#14519765—21no—
259#14519765—21no—
260#14519765C2311yescharacteristic
261#14519764C2311yescharacteristic
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519761—21no—
272#14519760—21no—
273#14519759—21no—
274#14519759—21no—
275#14519758—21no—
276#14519757C2311yescharacteristic
277#14519757C2311yescharacteristic
278#14519757C2311yescharacteristic
279#14519757C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519753—21no—
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519751C2311yescharacteristic
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519749—21no—
304#14519748C2311yescharacteristic
305Q8×Dic61—21no—
306Q8×Dic61C2311yescharacteristic
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122D411yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742—21no—
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331C4×D244D411yescharacteristic
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336#14519739—21no—
337#14519739—21no—
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61D411yescharacteristic
344C4×C22⋊D61D411yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346C4×C22⋊D61C2311yescharacteristic
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519736—21no—
351#14519736D411yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519734D411yescharacteristic
366#14519734D411yescharacteristic
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370C2×C4⋊Dic61C2311yescharacteristic
371C2×#11758196—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61C2311yescharacteristic
374C2×C4×Dic61—21no—
375C2×C4×Dic61—21no—
376C42×D61—21no—
377C42×D61C2311yescharacteristic
378C42×D61C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437#126×C61—21no—
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#124×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452#117×C61—21no—
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—21no—
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61C2×D411yescharacteristic
485C22×C4×C61C2×D411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61C2×D411yescharacteristic
491C2×C22⋊D61C2×D411yescharacteristic
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496Q8×D61—22no—
497Q8×D61—41no—
498Q8×D61—44no—
499#11758224—22no—
500#11758224—41no—
501#11758224—44no—
502#11758222—42no—
503C2×D244—21no—
504C2×D244—21no—
505C2×D244C2×D411yescharacteristic
506C2×D244C2411yescharacteristic
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61C2×D411yescharacteristic
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2411yescharacteristic
517C2×C4×D61C2411yescharacteristic
518C2×Dic122—22no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—41no—
527C2×Dic122C2×D411yescharacteristic
528C2×Dic122C2411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C42×C61—21no—
559C42×C61—21no—
560C42×C61—21no—
561C42×C61C2×D411yescharacteristic
562C42×C61C2×D411yescharacteristic
563C42×C61C2411yescharacteristic
564C42×C61C2411yescharacteristic
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61C2×D411yescharacteristic
571C22⋊Dic61C2×D411yescharacteristic
572#11758202—41no—
573#11758201—41no—
574#11758200—41no—
575#11758199—41no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597#11758198C2×D411yescharacteristic
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637C4×Dic61—21no—
638C4×Dic61—21no—
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658#11758194—41no—
659#11758194—41no—
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664Dic244—22no—
665Dic244—41no—
666#11758190—22no—
667#11758190—41no—
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C22×D61—21no—
675C22×D61C22×D411yescharacteristic
676C22×D61C22×D411yescharacteristic
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—42no—
680Q8×C61—81no—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—42no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—41no—
694C2×C4×C61—41no—
695C2×C4×C61—42no—
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C2511yescharacteristic
702C22⋊D61—22no—
703C22⋊D61—41no—
704C22⋊D61—42no—
705C22⋊D61—42no—
706C22⋊D61—81no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—42no—
715C2×Dic61—42no—
716C2×Dic61—42no—
717C2×Dic61—42no—
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724D244—21no—
725D244—21no—
726D244—41no—
727D244—81no—
728D244—81no—
729C4×D61—21no—
730C4×D61—21no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—22no—
734C4×D61—41no—
735C4×D61—41no—
736C4×D61—41no—
737C4×D61—42no—
738C4×D61—42no—
739C4×D61—42no—
740C4×D61—42no—
741C4×D61—42no—
742Dic122—21no—
743Dic122—22no—
744Dic122—21no—
745Dic122—21no—
746Dic122—21no—
747Dic122—21no—
748Dic122—42no—
749Dic122—42no—
750Dic122—42no—
751Dic122—42no—
752Dic122—42no—
753Dic122—81no—
754Dic122—81no—
755Dic1222−1+412yes—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62124—611nomaximal, Sylow
765C22×C61—21no—
766C22×C61—21no—
767C22×C61—21no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61C23×D411yescharacteristic
772C2×D61—21no—
773C2×D61—21no—
774C2×D61—21no—
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—41no—
779C2×D61—41no—
780C2×D61—41no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61—41no—
793C4×C61C2×2−1+411yescharacteristic
794C4×C61#58511yescharacteristic
795Dic61—21no—
796Dic61—21no—
797Dic61—22no—
798Dic61—21no—
799Dic61—21no—
800Dic61—21no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61#57512yes—
808#3518—611no—
809#3482—611no—
810#3387—611no—
811#3386—611no—
812#3369—611no—
813#3367—611no—
814#3354—611no—
815#3353—611no—
816#3349—611no—
817#3349—611no—
818#3348—611no—
819#3348—611no—
820#3329—611no—
821#3328—611no—
822#3321—611no—
823#3321—611no—
824#3313—611no—
825#3313—611no—
826#3256—611no—
827#3256—611no—
828#3248—611no—
829#3240—611no—
830#3240D6111yescharacteristic, complemented
831#3231—611no—
832#3117—611no—
833#3117—611no—
834#3102—611no—
835#3078—611no—
836#3078—611no—
837#3076—611no—
838#2989—611no—
839C2×C61—41no—
840C2×C61—81no—
841C2×C61#348911yescharacteristic
842C2×C61C2×#57511yescharacteristic
843C2×C61#358611yescharacteristic
844D61—41no—
845D61—41no—
846D61—81no—
847Q82—611no—
848#557—611no—
849#556—611no—
850#556—611no—
851#556—611no—
852#556—611no—
853#556—1221no—
854#556—1221no—
855#556—1221no—
856#556—1221no—
857#555—611no—
858#555—611no—
859#555—611no—
860#552—611no—
861#552—611no—
862#552—1221no—
863#552—1221no—
864D4×Q8—611no—
865D4×Q8—611no—
866#548—611no—
867#548—611no—
868#548—1221no—
869#547—611no—
870#547—1221no—
871#542—1221no—
872#542—1221no—
873#542—1221no—
874#533—611no—
875#533—611no—
876#533—611no—
877#533—1221no—
878#533C2×D6111yescharacteristic
879#529—611no—
880#529—611no—
881#529—611no—
882#529—611no—
883#529—1221no—
884#529—1221no—
885#529C2×D6111yescharacteristic
886#519—1221no—
887C4×#41—611no—
888C4×#41—611no—
889C4×#41—1221no—
890C2×C4×Q8—611no—
891C2×C4×Q8—611no—
892#501—611no—
893#501—611no—
894#501C2×D6111yescharacteristic
895#501C2×D6111yescharacteristic
896#500—611no—
897#498—611no—
898#489—611no—
899#489—611no—
900#489C2×D6111yescharacteristic
901#489C2×D6111yescharacteristic
902#487—611no—
903#487—611no—
904#485—611no—
905#485—611no—
906#485—611no—
907#485—611no—
908#485—611no—
909#485—611no—
910#485—611no—
911#485C2×D6111yescharacteristic
912#485C2×D6111yescharacteristic
913#484—611no—
914#484—611no—
915#482—611no—
916#482—611no—
917#482—611no—
918#482C2×D6111yescharacteristic
919#482C2×D6111yescharacteristic
920#481—611no—
921#481—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479C2×D6111yescharacteristic
932#479C2×D6111yescharacteristic
933#478—611no—
934#478—611no—
935#478—611no—
936#478C2×D6111yescharacteristic
937#478C2×D6111yescharacteristic
938#477—611no—
939#477—611no—
940#477—611no—
941#477—611no—
942#477—611no—
943#476—611no—
944#475—611no—
945#475—611no—
946#475—611no—
947#475—611no—
948#475—611no—
949#475—611no—
950#474—611no—
951#474—611no—
952#470—611no—
953#470—611no—
954#469—611no—
955#469—611no—
956#468—611no—
957#468—611no—
958#468—611no—
959#468—611no—
960#467—611no—
961#467—611no—
962#465—611no—
963#465—611no—
964#464—611no—
965#464—611no—
966#464—611no—
967#464—611no—
968#464—611no—
969#463—611no—
970#463—611no—
971#463—611no—
972#462—611no—
973#461—611no—
974#452—611no—
975#451—611no—
976#451—611no—
977#449—611no—
978#448—611no—
979#448—611no—
980#446—611no—
981#446—611no—
982#441—611no—
983#441—611no—
984#441—611no—
985#441—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990C4×Q16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×D8—611no—
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#432—611no—
1001#432C2×D6111yescharacteristic
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#427—611no—
1008#427—611no—
1009#423—611no—
1010#423—611no—
1011C2×C4⋊C8—611no—
1012#419—611no—
1013#419—611no—
1014#419—611no—
1015#419—611no—
1016#416—611no—
1017#416—611no—
1018C61#6212411yescharacteristic, complemented, Sylow
1019C2×#41—611no—
1020C2×#41—611no—
1021C2×#41—1221no—
1022C22×Q8—611no—
1023C22×Q8—611no—
1024C22×Q8—1221no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16—611no—
1028C2×SD16—611no—
1029C2×SD16—611no—
1030C2×SD16—611no—
1031C2×SD16—611no—
1032C2×D8—611no—
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16—611no—
1036C2×M16—611no—
1037C22×C8—611no—
1038C22×C8—611no—
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—1221no—
1046C4⋊Q8—1221no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8C22×D6111yescharacteristic
1051C4⋊Q8C22×D6111yescharacteristic
1052#126—21no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#126—1221no—
1067#125—611no—
1068#125—611no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125C22×D6111yescharacteristic
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#124—611no—
1078#124—611no—
1079#124—1221no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124C22×D6111yescharacteristic
1091#123—21no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8C22×D6111yescharacteristic
1123#121—611no—
1124#121—611no—
1125#121—611no—
1126#121—611no—
1127#121—1221no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121—1221no—
1132#121C22×D6111yescharacteristic
1133C4×Q8—21no—
1134C4×Q8—21no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8C22×D6111yescharacteristic
1162C4×D4—21no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4C22×D6111yescharacteristic
1183#117—21no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117C22×D6111yescharacteristic
1205#117C22×D6111yescharacteristic
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—1221no—
1213C2×C42—1221no—
1214C2×C42—1221no—
1215C2×C42C22×D6111yescharacteristic
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107C22×D6111yescharacteristic
1225#107C22×D6111yescharacteristic
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106C22×D6111yescharacteristic
1237#106C22×D6111yescharacteristic
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8C22×D6111yescharacteristic
1249C4⋊C8C22×D6111yescharacteristic
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#103C22×D6111yescharacteristic
1271#103C22×D6111yescharacteristic
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8C22×D6111yescharacteristic
1287C22⋊C8C22×D6111yescharacteristic
1288#97—611no—
1289#97—611no—
1290#97C22×D6111yescharacteristic
1291#97C22×D6111yescharacteristic
1292C4×C8—611no—
1293C4×C8—611no—
1294#41—1222no—
1295#41—2442no—
1296#41—2441no—
1297#41—2444no—
1298C2×Q8—21no—
1299C2×Q8—21no—
1300C2×Q8—611no—
1301C2×Q8—611no—
1302C2×Q8—611no—
1303C2×Q8—611no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—1222no—
1311C2×Q8—1221no—
1312C2×Q8—1222no—
1313C2×Q8—2441no—
1314C2×Q8—2441no—
1315C2×Q8—2444no—
1316C2×Q8C23×D6111yescharacteristic
1317C2×D4—21no—
1318C2×D4—611no—
1319C2×D4—611no—
1320C2×D4—611no—
1321C2×D4—611no—
1322C2×D4—1221no—
1323C2×D4—1221no—
1324C2×D4—1221no—
1325C2×D4—1221no—
1326C2×D4—1221no—
1327C2×D4C23×D6111yescharacteristic
1328C22×C4—21no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—1221no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4D4×D6111yescharacteristic
1345C22×C4D4×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347Q16—1222no—
1348Q16—2441no—
1349Q16—2441no—
1350SD16—1222no—
1351SD16—2441no—
1352SD16—2441no—
1353SD16—2441no—
1354D8—2441no—
1355M16—2441no—
1356M16—2441no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—2441no—
1364C2×C8—2441no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4C23×D6111yescharacteristic
1419C4⋊C4C23×D6111yescharacteristic
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C4⋊C4C23×D6111yescharacteristic
1423C4⋊C4C23×D6111yescharacteristic
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—611no—
1432C22⋊C4—611no—
1433C22⋊C4—611no—
1434C22⋊C4—611no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C42—21no—
1461C42—21no—
1462C42—21no—
1463C42—611no—
1464C42—611no—
1465C42—611no—
1466C42—611no—
1467C42—611no—
1468C42—611no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42D4×D6111yescharacteristic
1485C42D4×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—611no—
1490C23—611no—
1491C23—1221no—
1492C23C2×D4×D6111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—42no—
1496Q8—81no—
1497Q8—612no—
1498Q8—1222no—
1499Q8—1221no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—1221no—
1503Q8—1221no—
1504Q8—4881no—
1505Q8—4881no—
1506Q8—2442no—
1507Q8—2442no—
1508Q8—2442no—
1509Q8—2442no—
1510Q8—2442no—
1511D4—21no—
1512D4—21no—
1513D4—42no—
1514D4—1222no—
1515D4—1221no—
1516D4—1221no—
1517D4—4881no—
1518D4—4881no—
1519D4—4881no—
1520D4—2441no—
1521D4—2441no—
1522D4—2442no—
1523D4—2442no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—42no—
1536C2×C4—611no—
1537C2×C4—611no—
1538C2×C4—611no—
1539C2×C4—611no—
1540C2×C4—611no—
1541C2×C4—611no—
1542C2×C4—1222no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—2441no—
1555C2×C4—2441no—
1556C2×C4—2441no—
1557C2×C4—2442no—
1558C2×C4—2442no—
1559C2×C4—2442no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2442no—
1565C2×C4—2442no—
1566C2×C4C2×D4×D6111yescharacteristic
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—1221no—
1587C22—1221no—
1588C22—1221no—
1589C22—1221no—
1590C22—1221no—
1591C22—1221no—
1592C22—2441no—
1593C22—2441no—
1594C22—2441no—
1595C22C22×D4×D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—612no—
1609C4—1221no—
1610C4—1221no—
1611C4—1222no—
1612C4—1221no—
1613C4—1221no—
1614C4—1221no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C42−1+4×D6111yescharacteristic
1622C4#1684059911yescharacteristic
1623C2—41no—
1624C2—81no—
1625C2—4881no—
1626C2—2441no—
1627C2—2441no—
1628C2#2145949711yescharacteristic
1629C2#575×D6111yescharacteristic
1630C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3240C2
socleC22×C61C23×D4
hypercenter#3240D61
hypocenterC61#62124
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3240

Complements

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

NH ≅ G/Ntype
1. #21459828C2semidirect
2. #21459432C2semidirect
3. #21458748C2semidirect
4. #21458737C2semidirect
5. #21458556C2semidirect
6. #21458534C2semidirect
7. #21458412C2semidirect
8. #21458401C2semidirect
9. #21458352C2semidirect
10. #21458348C2semidirect
11. #21458333C2semidirect
12. #21458327C2semidirect
13. #21458111C2semidirect
14. #21458100C2semidirect
15. #21458008C2semidirect
16. #21458004C2semidirect
17. #21457888C2semidirect
18. #21457884C2semidirect
19. #21457219C2semidirect
20. #21457215C2semidirect
21. #21457155C2semidirect
22. #21457058C2semidirect
23. #21456977C2semidirect
24. #21455995C2semidirect
25. #21455992C2semidirect
26. #21455842C2semidirect
27. #21455622C2semidirect
28. #21455620C2semidirect
29. #21455604C2semidirect
30. #21454938C2semidirect
31. C61×#3240C2semidirect
830. #3240D61semidirect
1018. C61#62124semidirect

Maximal subgroups

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

subgroupindex
#214598282
#214594322
#214587482
#214587372
#214585562
#214585342
#214584122
#214584012
#214583522
#214583482
#214583332
#214583272
#214581112
#214581002
#214580082
#214580042
#214578882
#214578842
#214572192
#214572152
#214571552
#214570582
#214569772
#214559952
#214559922
#214558422
#214556222
#214556202
#214556042
#214549382
C61×#32402
#6212461