Finite Group Databasebeta

← #30575843

Subgroups — #30575843

Order 15616.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459697C211yesmaximal, characteristic
2#21459398C211yesmaximal, characteristic
3#21458748C211yesmaximal, characteristic, complemented
4#21458746C211yesmaximal, characteristic, complemented
5#21458625C211yesmaximal, characteristic, complemented
6#21458623C211yesmaximal, characteristic, complemented
7#21458430C211yesmaximal, characteristic, complemented
8#21458427C211yesmaximal, characteristic, complemented
9#21458272C211yesmaximal, characteristic, complemented
10#21458270C211yesmaximal, characteristic, complemented
11#21458268C211yesmaximal, characteristic, complemented
12#21458100C211yesmaximal, characteristic, complemented
13#21458097C211yesmaximal, characteristic, complemented
14#21457876C211yesmaximal, characteristic, complemented
15#21457872C211yesmaximal, characteristic, complemented
16#21457868C211yesmaximal, characteristic, complemented
17#21457864C211yesmaximal, characteristic, complemented
18#21457212C211yesmaximal, characteristic, complemented
19#21457209C211yesmaximal, characteristic, complemented
20#21457160C211yesmaximal, characteristic, complemented
21#21457034C211yesmaximal, characteristic, complemented
22#21457030C211yesmaximal, characteristic, complemented
23#21456961C211yesmaximal, characteristic, complemented
24#21455947C211yesmaximal, characteristic, complemented
25#21455946C211yesmaximal, characteristic, complemented
26#21455855C211yesmaximal, characteristic, complemented
27#21455623C211yesmaximal, characteristic, complemented
28#21455622C211yesmaximal, characteristic, complemented
29C2×#16840046C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic
31C61×#3344C211yesmaximal, characteristic, complemented
32#16840492C2211yescharacteristic
33#16840490C2211yescharacteristic
34#16840489—21no—
35#16840489—21no—
36#16840489C2211yescharacteristic
37#16840488C2211yescharacteristic
38#16840483C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840479—21no—
41#16840471—21no—
42#16840467C2211yescharacteristic
43#16840467C2211yescharacteristic
44#16840466—21no—
45#16840466—21no—
46#16840454C2211yescharacteristic
47#16840452C2211yescharacteristic
48#16840449—21no—
49#16840447C2211yescharacteristic
50#16840445—21no—
51D4×Dic122C2211yescharacteristic
52#16840425C2211yescharacteristic
53#16840425C2211yescharacteristic
54#16840371—21no—
55#16840369—21no—
56#16840334—21no—
57#16840318—21no—
58#16840318C2211yescharacteristic
59#16840317C2211yescharacteristic
60#16840316C2211yescharacteristic
61#16840315C2211yescharacteristic
62#16840314—21no—
63#16840314—21no—
64#16840314C2211yescharacteristic
65#16840314C2211yescharacteristic
66#16840314C2211yescharacteristic
67#16840314C2211yescharacteristic
68C2×#14519776C2211yescharacteristic
69#16840239—21no—
70C4×#11758224—21no—
71C4×#11758224C2211yescharacteristic
72C2×#14519742C2211yescharacteristic
73C2×#14519742C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840159C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840132C2211yescharacteristic
81#16840131C2211yescharacteristic
82#16840129C2211yescharacteristic
83#16840129C2211yescharacteristic
84#16840111C2211yescharacteristic
85#16840111C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840104C2211yescharacteristic
91#16840103C2211yescharacteristic
92#16840100C2211yescharacteristic
93#16840097C2211yescharacteristic
94#16840094C2211yescharacteristic
95#16840093C2211yescharacteristic
96#16840092C2211yescharacteristic
97#16840092C2211yescharacteristic
98#16840091C2211yescharacteristic
99#16840090C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840069C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840066C2211yescharacteristic
107#16840056C2211yescharacteristic
108#16840056C2211yescharacteristic
109#16840056C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840055C2211yescharacteristic
112#16840055C2211yescharacteristic
113#16840046C2211yescharacteristic
114#16840046C2211yescharacteristic
115#16840046C2211yescharacteristic
116#16840046C2211yescharacteristic
117#16840046C2211yescharacteristic
118#16840046C2211yescharacteristic
119#16840046C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840045C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840044C2211yescharacteristic
128#16840021C2211yescharacteristic
129#16840021C2211yescharacteristic
130#16840020C2211yescharacteristic
131#16840019C2211yescharacteristic
132#16840019C2211yescharacteristic
133#16840018C2211yescharacteristic
134#16840018C2211yescharacteristic
135#16840003C2211yescharacteristic
136#16840001C2211yescharacteristic
137#16840001C2211yescharacteristic
138#16839973C2211yescharacteristic
139#16839972C2211yescharacteristic
140#16839971C2211yescharacteristic
141#16839971C2211yescharacteristic
142#16839971C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839971C2211yescharacteristic
145#16839970C2211yescharacteristic
146#16839970C2211yescharacteristic
147#16839970C2211yescharacteristic
148#16839920C2211yescharacteristic
149#16839920C2211yescharacteristic
150#16839919C2211yescharacteristic
151#16839917C2211yescharacteristic
152#16839917C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839868C2211yescharacteristic
158#16839868C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839867C2211yescharacteristic
161#16839866C2211yescharacteristic
162#16839866C2211yescharacteristic
163#16839856C2211yescharacteristic
164#16839856C2211yescharacteristic
165#16839854C2211yescharacteristic
166#16839854C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839802C2211yescharacteristic
177#16839801C2211yescharacteristic
178C2×#14519708C2211yescharacteristic
179#16839785C2211yescharacteristic
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839770C2211yescharacteristic
184#16839769C2211yescharacteristic
185#16839769C2211yescharacteristic
186C2×#14519702C2211yescharacteristic
187C2×#14519700C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#484C2211yescharacteristic
193C61×#483C2211yescharacteristic
194C61×#483C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#475C2211yescharacteristic
197C61×#470C2211yescharacteristic
198C61×#467C2211yescharacteristic
199C61×#441C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#106×C61C2211yescharacteristic
203C2×#11758224D411yescharacteristic
204C22×Dic122—21no—
205C22×Dic122C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Dic244C2311yescharacteristic
209C2×Dic244C2311yescharacteristic
210C2×Dic244C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519775—21no—
236#14519775—21no—
237#14519775C2311yescharacteristic
238#14519775C2311yescharacteristic
239#14519775C2311yescharacteristic
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519771—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519769—21no—
248#14519769—21no—
249#14519769C2311yescharacteristic
250#14519768—21no—
251#14519768—21no—
252#14519768—21no—
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519763—21no—
269#14519763—21no—
270#14519761—21no—
271#14519760—21no—
272#14519758—21no—
273#14519757C2311yescharacteristic
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519756—21no—
277#14519756—21no—
278#14519756C2311yescharacteristic
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
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#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519753—21no—
300#14519753C2311yescharacteristic
301Q8×Dic61—21no—
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742D411yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339D4×Dic61—21no—
340D4×Dic61D411yescharacteristic
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61C2311yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345#14519737—21no—
346#14519737—21no—
347#14519737D411yescharacteristic
348#14519737D411yescharacteristic
349#14519736—21no—
350#14519736C2311yescharacteristic
351#14519735—21no—
352#14519735D411yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733D411yescharacteristic
363#14519733D411yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—21no—
367C2×#11758196—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C2×C4×Dic61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61—21no—
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61C2×D411yescharacteristic
482C22×C4×C61—21no—
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61C2×D411yescharacteristic
488C2×C22⋊D61C2×D411yescharacteristic
489C22×Dic61—21no—
490C22×Dic61—21no—
491C22×Dic61—21no—
492C22×Dic61C2×D411yescharacteristic
493C22×Dic61C2×D411yescharacteristic
494C22×Dic61C2×D411yescharacteristic
495C22×Dic61C2×D411yescharacteristic
496Q8×D61—22no—
497Q8×D61—41no—
498#11758224—24no—
499C2×C4×D61—21no—
500C2×C4×D61—21no—
501C2×C4×D61C2×D411yescharacteristic
502C2×C4×D61C2×D411yescharacteristic
503C2×C4×D61C2411yescharacteristic
504C2×Dic122—22no—
505C2×Dic122—22no—
506C2×Dic122—21no—
507C2×Dic122—21no—
508C2×Dic122—21no—
509C2×Dic122—21no—
510C2×Dic122—21no—
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—41no—
517C2×Dic122—41no—
518C2×Dic122—44no—
519C2×Dic122C2×D411yescharacteristic
520C2×Dic122C2411yescharacteristic
521C2×Dic122C2411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524Q16×C61—41no—
525M16×C61—41no—
526C2×C8×C61—41no—
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
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×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61C2×D411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61C2×D411yescharacteristic
556C22⋊C4×C61C2×D411yescharacteristic
557C42×C61—21no—
558C42×C61—21no—
559C42×C61—21no—
560C42×C61C2411yescharacteristic
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61C2×D411yescharacteristic
567C22⋊Dic61C2×D411yescharacteristic
568#11758202—22no—
569#11758202—41no—
570#11758202—41no—
571#11758202—41no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198C2×D411yescharacteristic
579#11758198C2×D411yescharacteristic
580C4⋊Dic61—21no—
581C4⋊Dic61—21no—
582C4⋊Dic61—21no—
583C4⋊Dic61—21no—
584C4⋊Dic61—21no—
585C4⋊Dic61—21no—
586C4⋊Dic61—21no—
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61C2×D411yescharacteristic
592C4⋊Dic61C2411yescharacteristic
593C4⋊Dic61C2411yescharacteristic
594C4⋊Dic61C2411yescharacteristic
595C4⋊Dic61C2411yescharacteristic
596#11758196—21no—
597#11758196—21no—
598#11758196—21no—
599#11758196—21no—
600#11758196—21no—
601#11758196—21no—
602#11758196—21no—
603#11758196—21no—
604#11758196—21no—
605#11758196—21no—
606#11758196—21no—
607#11758196—21no—
608#11758196—21no—
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#11758196—21no—
630#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660#11758194—41no—
661C2×#92418—41no—
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666Dic244—22no—
667Dic244—41no—
668Dic244—41no—
669#11758189—41no—
670#11758189—41no—
671C23×C61C22×D411yescharacteristic
672C23×C61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—21no—
677Q8×C61—21no—
678Q8×C61—81no—
679D4×C61—22no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
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—21no—
692C2×C4×C61—42no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C2511yescharacteristic
700C22⋊D61—22no—
701C22⋊D61—22no—
702C2×Dic61—21no—
703C2×Dic61—22no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—41no—
712C2×Dic61—41no—
713C2×Dic61—42no—
714C2×Dic61—42no—
715C2×Dic61—42no—
716C2×Dic61#13714yes—
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C4×D61—21no—
725C4×D61—21no—
726C4×D61—22no—
727C4×D61—41no—
728C4×D61—42no—
729C4×D61—81no—
730Dic122—21no—
731Dic122—22no—
732Dic122—21no—
733Dic122—21no—
734Dic122—21no—
735Dic122—21no—
736Dic122—21no—
737Dic122—21no—
738Dic122—42no—
739Dic122—42no—
740Dic122—42no—
741Dic122—42no—
742Dic122—42no—
743Dic122—42no—
744Dic122—42no—
745Dic122—42no—
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#62113—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
761C22×C61—21no—
762C22×C61—21no—
763C22×C61C2×#13712yes—
764C22×C61C23×D411yescharacteristic
765C2×D61—21no—
766C2×D61—21no—
767C2×D61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—21no—
771C4×C61—21no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61C2×2−1+411yescharacteristic
781C4×C61#58511yescharacteristic
782Dic61—21no—
783Dic61—21no—
784Dic61—21no—
785Dic61—22no—
786Dic61—21no—
787Dic61—21no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794Dic61—41no—
795Dic61C2×#13712yes—
796Dic61C2×#13712yes—
797#3509—611no—
798Q8×#41—611no—
799#3387—611no—
800#3387—611no—
801#3374—611no—
802#3374—611no—
803#3356—611no—
804#3356—611no—
805#3344—611no—
806#3344—611no—
807#3344—611no—
808#3344D6111yescharacteristic, complemented
809#3328—611no—
810#3328—611no—
811#3312—611no—
812#3312—611no—
813#3312—611no—
814#3312—611no—
815#3255—611no—
816#3255—611no—
817#3249—611no—
818#3237—611no—
819#3237—611no—
820#3229—611no—
821#3113—611no—
822#3113—611no—
823#3104—611no—
824#3078—611no—
825#3078—611no—
826C2×#475—611no—
827#2989—611no—
828C2×C61—22no—
829C2×C61—41no—
830C2×C61#348911yescharacteristic
831C2×C61C22×#13711yescharacteristic
832C2×C61#358611yescharacteristic
833D61—41no—
834Q82—611no—
835#557—611no—
836#557—611no—
837#557—611no—
838#557—1221no—
839#557—1221no—
840#556—611no—
841#556—611no—
842#556—1221no—
843#554—611no—
844#554—611no—
845#554—1221no—
846#554—1221no—
847#554—1221no—
848#554C2×D6111yescharacteristic
849#552—611no—
850#552—611no—
851#552—611no—
852#552—1221no—
853#552—1221no—
854#552C2×D6111yescharacteristic
855D4×Q8—611no—
856D4×Q8—611no—
857D4×Q8—611no—
858#541—1221no—
859#541—1221no—
860#536—1221no—
861#533—611no—
862#533—611no—
863#533—611no—
864#533—611no—
865#533—611no—
866#533—611no—
867#533—611no—
868#533—611no—
869#533—1221no—
870#533—1221no—
871#533—1221no—
872C2×C4⋊Q8—611no—
873#519—1221no—
874C4×#41—611no—
875C4×#41—1221no—
876C2×C4×Q8—611no—
877C2×C4×Q8—611no—
878C2×C4×Q8—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501C2×D6111yescharacteristic
883#498—611no—
884#498—611no—
885#491—611no—
886#491—611no—
887#491—611no—
888#491—611no—
889#487—611no—
890#487—611no—
891#485—611no—
892#485—611no—
893#485—611no—
894#485—611no—
895#485—611no—
896#485—611no—
897#485—611no—
898#485C2×D6111yescharacteristic
899#484—611no—
900#484C2×D6111yescharacteristic
901#483—611no—
902#483—611no—
903#483—611no—
904#483—611no—
905#483—611no—
906#483—611no—
907#483C2×D6111yescharacteristic
908#483C2×D6111yescharacteristic
909#479—611no—
910#479—611no—
911#479—611no—
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479C2×D6111yescharacteristic
917#477—611no—
918#477—611no—
919#477—611no—
920#477—611no—
921#477—611no—
922#477—611no—
923#475—611no—
924#475—611no—
925#475—611no—
926#475—611no—
927#475—611no—
928#475—611no—
929#475—611no—
930#475—611no—
931#475—611no—
932#475—611no—
933#475—611no—
934#475—611no—
935#475—611no—
936#475—611no—
937#475—611no—
938#475C2×D6111yescharacteristic
939#470—611no—
940#470—611no—
941#470—611no—
942#470—611no—
943#470—611no—
944#470—611no—
945#470—611no—
946#470C2×D6111yescharacteristic
947#467—611no—
948#467—611no—
949#467—611no—
950#467C2×D6111yescharacteristic
951#462—611no—
952#462—611no—
953#462—611no—
954#462—611no—
955#462—611no—
956#462—611no—
957#462—611no—
958#462—611no—
959#462—611no—
960#462—611no—
961#451—611no—
962#451—611no—
963#451—611no—
964#451—611no—
965#451—611no—
966#451—611no—
967#446—611no—
968#446—611no—
969#441—611no—
970#441—611no—
971#441—611no—
972#441—611no—
973#441—611no—
974#441—611no—
975#441—611no—
976#441C2×D6111yescharacteristic
977C4×Q16—611no—
978C4×Q16—611no—
979C4×Q16—611no—
980C4×Q16—611no—
981#436—611no—
982#436—611no—
983#435—611no—
984#435—611no—
985#435—611no—
986#435C2×D6111yescharacteristic
987#432—611no—
988#432—611no—
989#431—611no—
990#428—611no—
991#428—611no—
992#428—611no—
993#428C2×D6111yescharacteristic
994C2×#106—611no—
995C2×#106C2×D6111yescharacteristic
996#423—611no—
997#423—611no—
998C2×C4⋊C8—611no—
999#419—611no—
1000#419—611no—
1001#419—611no—
1002#419—611no—
1003C2×#103—611no—
1004C2×#103—611no—
1005C61#6211311yescharacteristic, complemented, Sylow
1006C2×#41—611no—
1007C22×Q8—611no—
1008C22×Q8—611no—
1009C22×Q8—611no—
1010C22×Q8—1221no—
1011C2×Q16—611no—
1012C2×Q16—611no—
1013C2×Q16—611no—
1014C2×Q16—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16—611no—
1018C2×Q16C22×D6111yescharacteristic
1019C2×M16—611no—
1020C2×M16—611no—
1021C2×M16—611no—
1022C2×M16C22×D6111yescharacteristic
1023C22×C8—611no—
1024C22×C8C22×D6111yescharacteristic
1025C4⋊Q8—611no—
1026C4⋊Q8—611no—
1027C4⋊Q8—611no—
1028C4⋊Q8—611no—
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8—1221no—
1045C4⋊Q8—1221no—
1046C4⋊Q8C22×D6111yescharacteristic
1047#126—21no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#125—21no—
1056#125—21no—
1057#125—611no—
1058#125—611no—
1059#125—611no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125C22×D6111yescharacteristic
1079#124—1221no—
1080#124—1221no—
1081#123—21no—
1082#123—1221no—
1083#123—1221no—
1084#123—1221no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—611no—
1088C22⋊Q8—611no—
1089C22⋊Q8—611no—
1090C22⋊Q8—611no—
1091C22⋊Q8—611no—
1092C22⋊Q8—611no—
1093C22⋊Q8—611no—
1094C22⋊Q8—611no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8C22×D6111yescharacteristic
1116C22⋊Q8C22×D6111yescharacteristic
1117C22⋊Q8C22×D6111yescharacteristic
1118C22⋊Q8C22×D6111yescharacteristic
1119C4×Q8—611no—
1120C4×Q8—611no—
1121C4×Q8—611no—
1122C4×Q8—611no—
1123C4×Q8—611no—
1124C4×Q8—611no—
1125C4×Q8—611no—
1126C4×Q8—611no—
1127C4×Q8—611no—
1128C4×Q8—611no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—1221no—
1136C4×Q8—1221no—
1137C4×Q8—1221no—
1138C4×Q8—1221no—
1139C4×Q8—1221no—
1140C4×Q8—1221no—
1141C4×Q8—1221no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
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×Q8C22×D6111yescharacteristic
1158C4×Q8C22×D6111yescharacteristic
1159C4×D4—21no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4C22×D6111yescharacteristic
1171#117—21no—
1172#117—611no—
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—611no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117—1221no—
1182#117—1221no—
1183#117—1221no—
1184#117—1221no—
1185#117—1221no—
1186#117—1221no—
1187#117C22×D6111yescharacteristic
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—1221no—
1191C2×C4⋊C4—1221no—
1192C2×C4⋊C4—1221no—
1193C2×C4⋊C4—1221no—
1194C2×C4⋊C4C22×D6111yescharacteristic
1195C2×C4⋊C4C22×D6111yescharacteristic
1196C2×C4⋊C4C22×D6111yescharacteristic
1197C2×C42—611no—
1198C2×C42—611no—
1199C2×C42—611no—
1200C2×C42—1221no—
1201C2×C42—1221no—
1202C2×C42—1221no—
1203#107—611no—
1204#107—611no—
1205#107—611no—
1206#107—611no—
1207#107—611no—
1208#107C22×D6111yescharacteristic
1209#107C22×D6111yescharacteristic
1210#107C22×D6111yescharacteristic
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106—611no—
1216#106—611no—
1217#106—611no—
1218#106—611no—
1219#106—611no—
1220#106—611no—
1221#106C22×D6111yescharacteristic
1222#106C22×D6111yescharacteristic
1223#106C22×D6111yescharacteristic
1224#106C22×D6111yescharacteristic
1225#106C22×D6111yescharacteristic
1226#106C22×D6111yescharacteristic
1227C4⋊C8—611no—
1228C4⋊C8—611no—
1229C4⋊C8—611no—
1230C4⋊C8—611no—
1231C4⋊C8—611no—
1232C4⋊C8—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8C22×D6111yescharacteristic
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
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#103—611no—
1262#103—611no—
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#103C22×D6111yescharacteristic
1266#103C22×D6111yescharacteristic
1267#103C22×D6111yescharacteristic
1268#103C22×D6111yescharacteristic
1269C22⋊C8—611no—
1270C22⋊C8—611no—
1271C22⋊C8—611no—
1272C22⋊C8—611no—
1273C22⋊C8C22×D6111yescharacteristic
1274C22⋊C8C22×D6111yescharacteristic
1275#97—611no—
1276#97—611no—
1277#97—611no—
1278#97C22×D6111yescharacteristic
1279C4×C8—611no—
1280C4×C8—611no—
1281#41—1224no—
1282C2×Q8—21no—
1283C2×Q8—611no—
1284C2×Q8—611no—
1285C2×Q8—611no—
1286C2×Q8—611no—
1287C2×Q8—611no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1222no—
1297C2×Q8—1222no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1222no—
1301C2×Q8—2441no—
1302C2×Q8—2441no—
1303C2×Q8—2444no—
1304C2×Q8—2441no—
1305C2×Q8C23×D6111yescharacteristic
1306C2×Q8C23×D6111yescharacteristic
1307C2×D4—611no—
1308C2×D4—611no—
1309C2×D4D4×D6111yescharacteristic
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4C23×D6111yescharacteristic
1326C22×C4C23×D6111yescharacteristic
1327Q16—41no—
1328Q16—1222no—
1329Q16—1222no—
1330Q16—2441no—
1331Q16—2441no—
1332Q16—2441no—
1333Q16—2441no—
1334Q16—2441no—
1335M16—41no—
1336M16—2441no—
1337M16—2441no—
1338M16—2441no—
1339C2×C8—41no—
1340C2×C8—611no—
1341C2×C8—611no—
1342C2×C8—611no—
1343C2×C8—611no—
1344C2×C8—2441no—
1345C2×C8C23×D6111yescharacteristic
1346C2×C8C23×D6111yescharacteristic
1347C2×C8C23×D6111yescharacteristic
1348C2×C8C23×D6111yescharacteristic
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
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⋊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⋊C4D4×D6111yescharacteristic
1416C4⋊C4C23×D6111yescharacteristic
1417C4⋊C4C23×D6111yescharacteristic
1418C4⋊C4C23×D6111yescharacteristic
1419C4⋊C4C23×D6111yescharacteristic
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—611no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1443C22⋊C4D4×D6111yescharacteristic
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—611no—
1448C42—611no—
1449C42—611no—
1450C42—611no—
1451C42—611no—
1452C42—611no—
1453C42—611no—
1454C42—611no—
1455C42—611no—
1456C42—1221no—
1457C42—1221no—
1458C42—1221no—
1459C42—1221no—
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—
1473C42C23×D6111yescharacteristic
1474C23—611no—
1475C23C2×D4×D6111yescharacteristic
1476C23C2×D4×D6111yescharacteristic
1477Q8—21no—
1478Q8—21no—
1479Q8—21no—
1480Q8—21no—
1481Q8—81no—
1482Q8—612no—
1483Q8—1222no—
1484Q8—1221no—
1485Q8—1221no—
1486Q8—1221no—
1487Q8—1221no—
1488Q8—1221no—
1489Q8—1221no—
1490Q8—1221no—
1491Q8—4881no—
1492Q8—4881no—
1493Q8—2442no—
1494Q8—2442no—
1495Q8—2442no—
1496Q8—2442no—
1497Q8—2442no—
1498Q8—2442no—
1499Q8—2442no—
1500Q8—2442no—
1501D4—22no—
1502D4—1222no—
1503D4—1222no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—42no—
1517C2×C4—81no—
1518C2×C4—81no—
1519C2×C4—614no—
1520C2×C4—611no—
1521C2×C4—611no—
1522C2×C4—611no—
1523C2×C4—611no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—1222no—
1528C2×C4—1222no—
1529C2×C4—1221no—
1530C2×C4—1221no—
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—4881no—
1540C2×C4—2441no—
1541C2×C4—2442no—
1542C2×C4—2441no—
1543C2×C4—2441no—
1544C2×C4—2442no—
1545C2×C4—2442no—
1546C2×C4—2442no—
1547C2×C4C2×D4×D6111yescharacteristic
1548C2×C4C2×D4×D6111yescharacteristic
1549C2×C4C2×D4×D6111yescharacteristic
1550C2×C4C2×D4×D6111yescharacteristic
1551C2×C4C24×D6111yescharacteristic
1552C8—21no—
1553C8—21no—
1554C8—21no—
1555C8—21no—
1556C8—1221no—
1557C8—1221no—
1558C8—1221no—
1559C8—1221no—
1560C22—21no—
1561C22—21no—
1562C22—21no—
1563C22—21no—
1564C22—21no—
1565C22—1221no—
1566C22—1221no—
1567C22—1221no—
1568C22#137×D6112yes—
1569C22C22×D4×D6111yescharacteristic
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—612no—
1583C4—612no—
1584C4—1221no—
1585C4—1222no—
1586C4—1221no—
1587C4—1221no—
1588C4—1221no—
1589C4—1221no—
1590C4—2441no—
1591C4—2441no—
1592C4—2441no—
1593C4—2441no—
1594C4—2441no—
1595C4—2441no—
1596C4—2441no—
1597C42−1+4×D6111yescharacteristic
1598C4#1684059811yescharacteristic
1599C2—22no—
1600C2—41no—
1601C2—2441no—
1602C2#2145949311yescharacteristic
1603C2C2×#137×D6111yescharacteristic
1604C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3344C2
socleC22×C61C23×D4
prime radicalC2×#11758224D4
hypercenter#3344D61
hypocenterC61#62113
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
3. #21458748C2semidirect
4. #21458746C2semidirect
5. #21458625C2semidirect
6. #21458623C2semidirect
7. #21458430C2semidirect
8. #21458427C2semidirect
9. #21458272C2semidirect
10. #21458270C2semidirect
11. #21458268C2semidirect
12. #21458100C2semidirect
13. #21458097C2semidirect
14. #21457876C2semidirect
15. #21457872C2semidirect
16. #21457868C2semidirect
17. #21457864C2semidirect
18. #21457212C2semidirect
19. #21457209C2semidirect
20. #21457160C2semidirect
21. #21457034C2semidirect
22. #21457030C2semidirect
23. #21456961C2semidirect
24. #21455947C2semidirect
25. #21455946C2semidirect
26. #21455855C2semidirect
27. #21455623C2semidirect
28. #21455622C2semidirect
29. C2×#16840046C2semidirect
31. C61×#3344C2semidirect
808. #3344D61semidirect
1005. C61#62113semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214593982
#214587482
#214587462
#214586252
#214586232
#214584302
#214584272
#214582722
#214582702
#214582682
#214581002
#214580972
#214578762
#214578722
#214578682
#214578642
#214572122
#214572092
#214571602
#214570342
#214570302
#214569612
#214559472
#214559462
#214558552
#214556232
#214556222
C2×#168400462
#214549312
C61×#33442
#6211361