Finite Group Databasebeta

← #30576888

Subgroups — #30576888

Order 15616.

1646 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460460C211yesmaximal, characteristic, complemented
2#21459832C211yesmaximal, characteristic, complemented
3#21458748C211yesmaximal, characteristic, complemented
4#21458734C211yesmaximal, characteristic, complemented
5#21458667C211yesmaximal, characteristic, complemented
6#21458645C211yesmaximal, characteristic, complemented
7#21458363C211yesmaximal, characteristic, complemented
8#21458342C211yesmaximal, characteristic, complemented
9#21458332C211yesmaximal, characteristic, complemented
10#21458322C211yesmaximal, characteristic, complemented
11#21458249C211yesmaximal, characteristic, complemented
12#21458225C211yesmaximal, characteristic, complemented
13#21458008C211yesmaximal, characteristic, complemented
14#21457988C211yesmaximal, characteristic, complemented
15#21457884C211yesmaximal, characteristic, complemented
16#21457873C211yesmaximal, characteristic, complemented
17#21457720C211yesmaximal, characteristic, complemented
18#21457704C211yesmaximal, characteristic, complemented
19#21457284C211yesmaximal, characteristic, complemented
20#21457279C211yesmaximal, characteristic, complemented
21#21457155C211yesmaximal, characteristic, complemented
22#21457116C211yesmaximal, characteristic, complemented
23#21457031C211yesmaximal, characteristic, complemented
24#21456053C211yesmaximal, characteristic, complemented
25#21456050C211yesmaximal, characteristic, complemented
26#21455933C211yesmaximal, characteristic, complemented
27#21455660C211yesmaximal, characteristic, complemented
28#21455655C211yesmaximal, characteristic, complemented
29#21455600C211yesmaximal, characteristic, complemented
30#21454953C211yesmaximal, characteristic, complemented
31C61×#3243C211yesmaximal, characteristic, complemented
32#16840516—21no—
33#16840508—21no—
34#16840492C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840486C2211yescharacteristic
37#16840486C2211yescharacteristic
38#16840483—21no—
39#16840483C2211yescharacteristic
40#16840481—21no—
41#16840481C2211yescharacteristic
42#16840479—21no—
43#16840479—21no—
44#16840476C2211yescharacteristic
45#16840475C2211yescharacteristic
46#16840474—21no—
47#16840473C2211yescharacteristic
48#16840465C2211yescharacteristic
49#16840460C2211yescharacteristic
50#16840451C2211yescharacteristic
51#16840447C2211yescharacteristic
52#16840444—21no—
53#16840425C2211yescharacteristic
54#16840420C2211yescharacteristic
55#16840418C2211yescharacteristic
56#16840392C2211yescharacteristic
57#16840386—21no—
58#16840386C2211yescharacteristic
59#16840385—21no—
60#16840383C2211yescharacteristic
61#16840382—21no—
62#16840380—21no—
63#16840377C2211yescharacteristic
64#16840373—21no—
65#16840358—21no—
66#16840317C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840314—21no—
69#16840297C2211yescharacteristic
70#16840290C2211yescharacteristic
71#16840289—21no—
72#16840239C2211yescharacteristic
73#16840238C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840159C2211yescharacteristic
79#16840129C2211yescharacteristic
80#16840129C2211yescharacteristic
81#16840120C2211yescharacteristic
82#16840115C2211yescharacteristic
83#16840105C2211yescharacteristic
84#16840105C2211yescharacteristic
85#16840105C2211yescharacteristic
86#16840105C2211yescharacteristic
87#16840105C2211yescharacteristic
88#16840104C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840101C2211yescharacteristic
91#16840094C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840079C2211yescharacteristic
97#16840071C2211yescharacteristic
98#16840068C2211yescharacteristic
99#16840068C2211yescharacteristic
100#16840068C2211yescharacteristic
101#16840066C2211yescharacteristic
102#16840066C2211yescharacteristic
103#16840066C2211yescharacteristic
104#16840066C2211yescharacteristic
105#16840060C2211yescharacteristic
106#16840060C2211yescharacteristic
107#16840058C2211yescharacteristic
108#16840056C2211yescharacteristic
109#16840055C2211yescharacteristic
110#16840054C2211yescharacteristic
111#16840054C2211yescharacteristic
112#16840052C2211yescharacteristic
113#16840049C2211yescharacteristic
114#16840048C2211yescharacteristic
115#16840047C2211yescharacteristic
116#16840046C2211yescharacteristic
117#16840046C2211yescharacteristic
118#16840044C2211yescharacteristic
119#16840044C2211yescharacteristic
120#16840044C2211yescharacteristic
121#16840041C2211yescharacteristic
122#16840041C2211yescharacteristic
123#16840018C2211yescharacteristic
124#16840013C2211yescharacteristic
125#16840009C2211yescharacteristic
126#16840007C2211yescharacteristic
127#16840004C2211yescharacteristic
128#16840004C2211yescharacteristic
129#16840002C2211yescharacteristic
130#16839997C2211yescharacteristic
131#16839994C2211yescharacteristic
132#16839993C2211yescharacteristic
133#16839992C2211yescharacteristic
134#16839989C2211yescharacteristic
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#16839892C2211yescharacteristic
152#16839890C2211yescharacteristic
153#16839871C2211yescharacteristic
154#16839870C2211yescharacteristic
155#16839868C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839864C2211yescharacteristic
158#16839861C2211yescharacteristic
159#16839861C2211yescharacteristic
160#16839859C2211yescharacteristic
161C4×Dic244C2211yescharacteristic
162#16839856C2211yescharacteristic
163C4×#11758190C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839836C2211yescharacteristic
166#16839836C2211yescharacteristic
167#16839835C2211yescharacteristic
168#16839830C2211yescharacteristic
169C8×D244C2211yescharacteristic
170#16839825C2211yescharacteristic
171#16839822C2211yescharacteristic
172#16839818C2211yescharacteristic
173#16839802C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839799C2211yescharacteristic
176#16839799C2211yescharacteristic
177#16839799C2211yescharacteristic
178#16839798C2211yescharacteristic
179#16839789C2211yescharacteristic
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839770C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186C2×#14519700C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#544C2211yescharacteristic
189C61×#542C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#500C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#488C2211yescharacteristic
194C61×#485C2211yescharacteristic
195C61×#484C2211yescharacteristic
196C61×#482C2211yescharacteristic
197C61×#480C2211yescharacteristic
198C61×#479C2211yescharacteristic
199C61×#478C2211yescharacteristic
200C61×#477C2211yescharacteristic
201C61×#474C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C22×Dic122C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Dic244C2311yescharacteristic
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C22×#92418C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519775—21no—
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772D411yescharacteristic
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770D411yescharacteristic
249#14519769—21no—
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767D411yescharacteristic
259#14519766—21no—
260#14519766—21no—
261#14519766—21no—
262#14519765—21no—
263#14519765C2311yescharacteristic
264#14519764—21no—
265#14519764C2311yescharacteristic
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763D411yescharacteristic
274#14519762—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762D411yescharacteristic
279#14519760—21no—
280#14519760—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759D411yescharacteristic
284#14519757—21no—
285#14519757—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519757C2311yescharacteristic
291#14519756—21no—
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755D411yescharacteristic
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753C2311yescharacteristic
307#14519752—21no—
308#14519752C2311yescharacteristic
309#14519752C2311yescharacteristic
310#14519751—21no—
311#14519751C2311yescharacteristic
312#14519750—21no—
313#14519750—21no—
314#14519750D411yescharacteristic
315#14519749—21no—
316#14519749—21no—
317#14519748C2311yescharacteristic
318Q8×Dic61—21no—
319Q8×Dic61—21no—
320Q8×Dic61—21no—
321Q8×Dic61C2311yescharacteristic
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341C4×D244C2311yescharacteristic
342C4×D244C2311yescharacteristic
343D4×Dic61—21no—
344D4×Dic61C2311yescharacteristic
345#14519739—21no—
346#14519739—21no—
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61C2311yescharacteristic
352C4×C22⋊D61C2311yescharacteristic
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519736—21no—
357#14519736C2311yescharacteristic
358#14519735—21no—
359#14519735—21no—
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519735C2311yescharacteristic
364#14519735C2311yescharacteristic
365#14519734—21no—
366#14519734—21no—
367#14519734—21no—
368#14519734—21no—
369#14519734C2311yescharacteristic
370#14519733—21no—
371#14519733—21no—
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61C2311yescharacteristic
377C2×C4×Dic61—21no—
378C42×D61C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
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
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61—21no—
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#124×C61—21no—
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×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
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
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—
495Q8×D61—22no—
496Q8×D61—41no—
497#11758224—22no—
498#11758224—41no—
499C2×D244—21no—
500C2×D244—21no—
501C2×D244C2×D411yescharacteristic
502C2×D244C2411yescharacteristic
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61C2×D411yescharacteristic
509C2×C4×D61C2×D411yescharacteristic
510C2×C4×D61C2411yescharacteristic
511C2×C4×D61C2411yescharacteristic
512C2×Dic122—22no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—41no—
520C2×Dic122C2×D411yescharacteristic
521C2×Dic122C2411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524C2×C8×C61C2411yescharacteristic
525C2×C8×C61C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C4⋊C4×C61—21no—
529C4⋊C4×C61—21no—
530C4⋊C4×C61—21no—
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61C2×D411yescharacteristic
539C4⋊C4×C61C2×D411yescharacteristic
540C4⋊C4×C61C2411yescharacteristic
541C4⋊C4×C61C2411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61C2×D411yescharacteristic
553C22⋊C4×C61C2×D411yescharacteristic
554C42×C61—21no—
555C42×C61—21no—
556C42×C61C2411yescharacteristic
557C42×C61C2411yescharacteristic
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61C2×D411yescharacteristic
565C22⋊Dic61C2×D411yescharacteristic
566#11758202—41no—
567#11758201—41no—
568#11758200—41no—
569#11758199—41no—
570#11758198—21no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
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#11758198C2×D411yescharacteristic
589#11758198C2×D411yescharacteristic
590#11758198C2×D411yescharacteristic
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61C2×D411yescharacteristic
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609#11758196—21no—
610#11758196—21no—
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#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635C4×Dic61—21no—
636C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655#11758194—41no—
656C2×#92418—41no—
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661Dic244—22no—
662Dic244—41no—
663#11758190—22no—
664#11758190—41no—
665#11758189—41no—
666C8×D61—41no—
667C8×D61—41no—
668C8×D61—41no—
669C23×C61—21no—
670C23×C61C22×D411yescharacteristic
671C22×D61—21no—
672C22×D61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—81no—
677Q8×C61—81no—
678Q8×C61—81no—
679D4×C61—21no—
680D4×C61—21no—
681D4×C61—81no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
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—81no—
692C2×C4×C61—81no—
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C2511yescharacteristic
699C22⋊D61—41no—
700C22⋊D61—41no—
701C22⋊D61—42no—
702C22⋊D61—81no—
703C22⋊D61—81no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—42no—
712C2×Dic61—42no—
713C2×Dic61—42no—
714C2×Dic61C22×D411yescharacteristic
715C2×Dic61C22×D411yescharacteristic
716C2×Dic61C22×D411yescharacteristic
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720D244—21no—
721D244—21no—
722D244—41no—
723D244—81no—
724D244—81no—
725C4×D61—21no—
726C4×D61—21no—
727C4×D61—21no—
728C4×D61—21no—
729C4×D61—41no—
730C4×D61—41no—
731C4×D61—42no—
732C4×D61—81no—
733C4×D61—81no—
734C4×D61—81no—
735C4×D61—81no—
736Dic122—21no—
737Dic122—21no—
738Dic122—21no—
739Dic122—21no—
740Dic122—21no—
741Dic122—41no—
742Dic122—42no—
743Dic122—42no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic1222−1+412yes—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753#92418—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#62161—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61C23×D411yescharacteristic
765C2×D61—21no—
766C2×D61—21no—
767C2×D61—21no—
768C2×D61—21no—
769C2×D61—21no—
770C2×D61—21no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—21no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61C2×2−1+411yescharacteristic
787C4×C61#58511yescharacteristic
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—22no—
793Dic61—21no—
794Dic61—21no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3565—611no—
802#3518—611no—
803#3387—611no—
804#3385—611no—
805#3377—611no—
806#3376—611no—
807#3350—611no—
808#3349—611no—
809#3348—611no—
810#3347—611no—
811#3342—611no—
812#3340—611no—
813#3321—611no—
814#3320—611no—
815#3313—611no—
816#3312—611no—
817#3301—611no—
818#3300—611no—
819#3263—611no—
820#3262—611no—
821#3248—611no—
822#3244—611no—
823#3243D6111yescharacteristic, complemented
824#3237—611no—
825#3121—611no—
826#3121—611no—
827#3111—611no—
828#3082—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61—41no—
833C2×C61—81no—
834C2×C61#348911yescharacteristic
835C2×C61#358411yescharacteristic
836C2×C61#358611yescharacteristic
837D61—41no—
838D61—41no—
839D61—81no—
840#563—1221no—
841#562—1221no—
842Q82—611no—
843#557—611no—
844#556—611no—
845#556—611no—
846#556—611no—
847#556—611no—
848#556—1221no—
849#556—1221no—
850#556—1221no—
851#556—1221no—
852#555—611no—
853#555—611no—
854#555—1221no—
855#554—611no—
856#553—611no—
857#553—611no—
858#552—611no—
859#552—611no—
860#552—1221no—
861D4×Q8—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544C2×D6111yescharacteristic
866#542—611no—
867#542—611no—
868#542—611no—
869#542—1221no—
870#542—1221no—
871#542—1221no—
872#542—1221no—
873#542C2×D6111yescharacteristic
874#541—1221no—
875#539—1221no—
876#533—611no—
877#533—611no—
878#533—1221no—
879#529—611no—
880#529—611no—
881#529—1221no—
882#519—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#501C2×D6111yescharacteristic
889#500C2×D6111yescharacteristic
890#498—611no—
891#491—611no—
892#491—611no—
893#489—611no—
894#489C2×D6111yescharacteristic
895#488—611no—
896#488C2×D6111yescharacteristic
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485—611no—
904#485—611no—
905#485C2×D6111yescharacteristic
906#484C2×D6111yescharacteristic
907#483—611no—
908#482—611no—
909#482—611no—
910#482—611no—
911#482—611no—
912#482C2×D6111yescharacteristic
913#481—611no—
914#480C2×D6111yescharacteristic
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479C2×D6111yescharacteristic
924#478—611no—
925#478—611no—
926#478C2×D6111yescharacteristic
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477C2×D6111yescharacteristic
933#476—611no—
934#476—611no—
935#475—611no—
936#475—611no—
937#475—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#474—611no—
943#474—611no—
944#474C2×D6111yescharacteristic
945#470—611no—
946#469—611no—
947#468—611no—
948#468—611no—
949#467—611no—
950#467—611no—
951#467—611no—
952#466—611no—
953#465—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#464—611no—
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#463—611no—
963#463—611no—
964#463—611no—
965#462—611no—
966#461—611no—
967#452—611no—
968#451—611no—
969#451—611no—
970#449—611no—
971#448—611no—
972#448—611no—
973#446—611no—
974#446—611no—
975#442—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×SD16—611no—
986C4×SD16—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435—611no—
991C8×D4—611no—
992C8×D4—611no—
993#433—611no—
994#433C2×D6111yescharacteristic
995#432—611no—
996#428—611no—
997#428—611no—
998#427—611no—
999#427—611no—
1000#427—611no—
1001#427—611no—
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#419—611no—
1007#416—611no—
1008#416—611no—
1009C2×#103—611no—
1010C2×#103—611no—
1011C61#6216111yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C22×Q8—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16—611no—
1018C2×SD16—611no—
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16—611no—
1022C2×D8—611no—
1023C2×M16—611no—
1024C2×M16—611no—
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8—611no—
1028C22×C8—611no—
1029C4⋊Q8—21no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8C22×D6111yescharacteristic
1042C4⋊Q8C22×D6111yescharacteristic
1043C4⋊Q8C22×D6111yescharacteristic
1044#126—21no—
1045#126—611no—
1046#126—611no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
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#125—21no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125C22×D6111yescharacteristic
1075#125C22×D6111yescharacteristic
1076#124—21no—
1077#124—611no—
1078#124—611no—
1079#124—611no—
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#124—1221no—
1091#124—1221no—
1092#124C22×D6111yescharacteristic
1093#123—21no—
1094#123—611no—
1095#123—611no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
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⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8C22×D6111yescharacteristic
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121C22×D6111yescharacteristic
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8C22×D6111yescharacteristic
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
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—611no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—1221no—
1191#117—1221no—
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#117C22×D6111yescharacteristic
1203#117C22×D6111yescharacteristic
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4C22×D6111yescharacteristic
1207C2×C42—611no—
1208C2×C42—1221no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107C22×D6111yescharacteristic
1216#107C22×D6111yescharacteristic
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106C22×D6111yescharacteristic
1232#106C22×D6111yescharacteristic
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8C22×D6111yescharacteristic
1242C4⋊C8C22×D6111yescharacteristic
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
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#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102C22×D6111yescharacteristic
1272#102C22×D6111yescharacteristic
1273#102C22×D6111yescharacteristic
1274#102C22×D6111yescharacteristic
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8—611no—
1279C22⋊C8C22×D6111yescharacteristic
1280C22⋊C8C22×D6111yescharacteristic
1281#97—611no—
1282#97—611no—
1283#97—611no—
1284#97C22×D6111yescharacteristic
1285C4×C8—611no—
1286C4×C8C22×D6111yescharacteristic
1287#41—1222no—
1288#41—2441no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—611no—
1295C2×Q8—611no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1222no—
1301C2×Q8—1221no—
1302C2×Q8—1221no—
1303C2×Q8—1222no—
1304C2×Q8—2441no—
1305C2×Q8—2441no—
1306C2×Q8C23×D6111yescharacteristic
1307C2×D4—21no—
1308C2×D4—611no—
1309C2×D4—611no—
1310C2×D4—611no—
1311C2×D4—611no—
1312C2×D4—1221no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4—1221no—
1316C2×D4—1221no—
1317C2×D4C23×D6111yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4C23×D6111yescharacteristic
1333Q16—1222no—
1334Q16—2441no—
1335Q16—2441no—
1336SD16—1222no—
1337SD16—2441no—
1338SD16—2441no—
1339SD16—2441no—
1340D8—2441no—
1341M16—2441no—
1342M16—2441no—
1343C2×C8—611no—
1344C2×C8—611no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—2441no—
1348C2×C8—2441no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8C23×D6111yescharacteristic
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1407C4⋊C4D4×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C4⋊C4C23×D6111yescharacteristic
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—611no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—611no—
1424C22⋊C4—611no—
1425C22⋊C4—611no—
1426C22⋊C4—611no—
1427C22⋊C4—611no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1453C22⋊C4D4×D6111yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—611no—
1457C42—611no—
1458C42—611no—
1459C42—611no—
1460C42—1221no—
1461C42—1221no—
1462C42—1221no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42C23×D6111yescharacteristic
1477C42C23×D6111yescharacteristic
1478C23—21no—
1479C23—611no—
1480C23—611no—
1481C23—1221no—
1482C23C2×D4×D6111yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—81no—
1486Q8—81no—
1487Q8—81no—
1488Q8—612no—
1489Q8—1221no—
1490Q8—1221no—
1491Q8—1221no—
1492Q8—1221no—
1493Q8—1221no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—4881no—
1498Q8—2441no—
1499Q8—2442no—
1500Q8—2442no—
1501D4—21no—
1502D4—21no—
1503D4—81no—
1504D4—1221no—
1505D4—1221no—
1506D4—4881no—
1507D4—4881no—
1508D4—4881no—
1509D4—4881no—
1510D4—2441no—
1511D4—2441no—
1512D4—2441no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—81no—
1524C2×C4—81no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—4881no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—2441no—
1547C2×C4—2441no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4—2442no—
1552C2×C4C2×D4×D6111yescharacteristic
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C24×D6111yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—1221no—
1573C22—1221no—
1574C22—1221no—
1575C22—1221no—
1576C22—1221no—
1577C22—1221no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22C22×D4×D6111yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—1221no—
1595C4—1221no—
1596C4—1222no—
1597C4—1221no—
1598C4—1221no—
1599C4—1221no—
1600C4—1221no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059911yescharacteristic
1609C2—41no—
1610C2—81no—
1611C2—4881no—
1612C2—2441no—
1613C2—2441no—
1614C2#2145949711yescharacteristic
1615C2#2146058711yescharacteristic
1616C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3243C2
socleC22×C61C23×D4
hypercenter#3243D61
hypocenterC61#62161
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #21460460C2semidirect
2. #21459832C2semidirect
3. #21458748C2semidirect
4. #21458734C2semidirect
5. #21458667C2semidirect
6. #21458645C2semidirect
7. #21458363C2semidirect
8. #21458342C2semidirect
9. #21458332C2semidirect
10. #21458322C2semidirect
11. #21458249C2semidirect
12. #21458225C2semidirect
13. #21458008C2semidirect
14. #21457988C2semidirect
15. #21457884C2semidirect
16. #21457873C2semidirect
17. #21457720C2semidirect
18. #21457704C2semidirect
19. #21457284C2semidirect
20. #21457279C2semidirect
21. #21457155C2semidirect
22. #21457116C2semidirect
23. #21457031C2semidirect
24. #21456053C2semidirect
25. #21456050C2semidirect
26. #21455933C2semidirect
27. #21455660C2semidirect
28. #21455655C2semidirect
29. #21455600C2semidirect
30. #21454953C2semidirect
31. C61×#3243C2semidirect
823. #3243D61semidirect
1011. C61#62161semidirect

Maximal subgroups

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

subgroupindex
#214604602
#214598322
#214587482
#214587342
#214586672
#214586452
#214583632
#214583422
#214583322
#214583222
#214582492
#214582252
#214580082
#214579882
#214578842
#214578732
#214577202
#214577042
#214572842
#214572792
#214571552
#214571162
#214570312
#214560532
#214560502
#214559332
#214556602
#214556552
#214556002
#214549532
C61×#32432
#6216161