Finite Group Databasebeta

← #30575860

Subgroups — #30575860

Order 15616.

1740 conjugacy classes of subgroups.

The subgroup lattice has 1652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459721C211yesmaximal, characteristic
2#21459398C211yesmaximal, characteristic, complemented
3#21458726C211yesmaximal, characteristic, complemented
4#21458724C211yesmaximal, characteristic, complemented
5#21458603C211yesmaximal, characteristic, complemented
6#21458601C211yesmaximal, characteristic, complemented
7#21458441C211yesmaximal, characteristic, complemented
8#21458438C211yesmaximal, characteristic, complemented
9#21458302C211yesmaximal, characteristic, complemented
10#21458300C211yesmaximal, characteristic, complemented
11#21458298C211yesmaximal, characteristic, complemented
12#21458111C211yesmaximal, characteristic, complemented
13#21458108C211yesmaximal, characteristic, complemented
14#21457996C211yesmaximal, characteristic, complemented
15#21457992C211yesmaximal, characteristic, complemented
16#21457988C211yesmaximal, characteristic, complemented
17#21457984C211yesmaximal, characteristic, complemented
18#21457208C211yesmaximal, characteristic, complemented
19#21457201C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457034C211yesmaximal, characteristic, complemented
22#21457030C211yesmaximal, characteristic, complemented
23#21456968C211yesmaximal, characteristic, complemented
24#21455939C211yesmaximal, characteristic, complemented
25#21455938C211yesmaximal, characteristic, complemented
26#21455847C211yesmaximal, characteristic, complemented
27#21455623C211yesmaximal, characteristic, complemented
28#21455622C211yesmaximal, characteristic, complemented
29C2×#16840056C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3346C211yesmaximal, characteristic, complemented
32#16840492C2211yescharacteristic
33#16840490C2211yescharacteristic
34#16840489—21no—
35#16840479—21no—
36#16840476C2211yescharacteristic
37#16840475C2211yescharacteristic
38#16840471—21no—
39#16840471C2211yescharacteristic
40#16840468C2211yescharacteristic
41#16840467C2211yescharacteristic
42#16840467C2211yescharacteristic
43#16840466—21no—
44#16840466—21no—
45#16840464C2211yescharacteristic
46#16840460C2211yescharacteristic
47#16840458C2211yescharacteristic
48D4×Dic122C2211yescharacteristic
49#16840425C2211yescharacteristic
50#16840425C2211yescharacteristic
51#16840421—21no—
52#16840418—21no—
53#16840410—21no—
54#16840380—21no—
55#16840378—21no—
56#16840339—21no—
57#16840318—21no—
58#16840318C2211yescharacteristic
59#16840317C2211yescharacteristic
60#16840315C2211yescharacteristic
61#16840314—21no—
62#16840314—21no—
63#16840314C2211yescharacteristic
64#16840314C2211yescharacteristic
65#16840309C2211yescharacteristic
66#16840307C2211yescharacteristic
67#16840307C2211yescharacteristic
68C2×#14519776C2211yescharacteristic
69#16840241—21no—
70C4×#11758224—21no—
71C4×#11758224C2211yescharacteristic
72C2×#14519742C2211yescharacteristic
73C2×#14519742C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840166C2211yescharacteristic
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#16840098C2211yescharacteristic
94#16840097C2211yescharacteristic
95#16840095C2211yescharacteristic
96#16840080C2211yescharacteristic
97#16840077C2211yescharacteristic
98#16840075C2211yescharacteristic
99#16840074C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840069C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840066C2211yescharacteristic
107#16840056C2211yescharacteristic
108#16840056C2211yescharacteristic
109#16840056C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840056C2211yescharacteristic
114#16840056C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840056C2211yescharacteristic
117#16840055C2211yescharacteristic
118#16840055C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840050C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840039C2211yescharacteristic
128#16840010C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840009C2211yescharacteristic
131#16840008C2211yescharacteristic
132#16840007C2211yescharacteristic
133#16840007C2211yescharacteristic
134#16840006C2211yescharacteristic
135#16839993C2211yescharacteristic
136#16839991C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839968C2211yescharacteristic
139#16839967C2211yescharacteristic
140#16839966C2211yescharacteristic
141#16839966C2211yescharacteristic
142#16839965C2211yescharacteristic
143#16839965C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839961C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839903C2211yescharacteristic
149#16839903C2211yescharacteristic
150#16839902C2211yescharacteristic
151#16839900C2211yescharacteristic
152#16839900C2211yescharacteristic
153#16839899C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839864C2211yescharacteristic
157#16839862C2211yescharacteristic
158#16839861C2211yescharacteristic
159#16839861C2211yescharacteristic
160#16839860C2211yescharacteristic
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839802C2211yescharacteristic
177#16839801C2211yescharacteristic
178C2×#14519710C2211yescharacteristic
179#16839785C2211yescharacteristic
180#16839784C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839770C2211yescharacteristic
184#16839769C2211yescharacteristic
185#16839769C2211yescharacteristic
186C2×#14519702C2211yescharacteristic
187C2×#14519700C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#484C2211yescharacteristic
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#474C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#107×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758224—21no—
205C2×#11758224—21no—
206C2×#11758224D411yescharacteristic
207C22×Dic122—21no—
208C22×Dic122C2311yescharacteristic
209C22×Dic122C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C22×#92418C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519775—21no—
237#14519775—21no—
238#14519775C2311yescharacteristic
239#14519775C2311yescharacteristic
240#14519773C2311yescharacteristic
241#14519772—21no—
242#14519772—21no—
243#14519770—21no—
244#14519769—21no—
245#14519769C2311yescharacteristic
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519765—21no—
256#14519764—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519762—21no—
263#14519761—21no—
264#14519759—21no—
265#14519757—21no—
266#14519757C2311yescharacteristic
267#14519757C2311yescharacteristic
268#14519756—21no—
269#14519756—21no—
270#14519756—21no—
271#14519756C2311yescharacteristic
272#14519756C2311yescharacteristic
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519753—21no—
292#14519752C2311yescharacteristic
293#14519751—21no—
294#14519751C2311yescharacteristic
295#14519751C2311yescharacteristic
296#14519750—21no—
297#14519750—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519748C2311yescharacteristic
304Q8×Dic61—21no—
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742D411yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330C4×D244C2311yescharacteristic
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61D411yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61C2311yescharacteristic
343C4×C22⋊D61C2311yescharacteristic
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737D411yescharacteristic
350#14519737D411yescharacteristic
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735D411yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519734—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×#11758196—21no—
364C2×#11758196—21no—
365C2×#11758196—21no—
366C2×#11758196—21no—
367C4⋊C4×D61—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#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
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#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
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#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2411yescharacteristic
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61C2×D411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61C2411yescharacteristic
489C22×C4×C61C2411yescharacteristic
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61C2×D411yescharacteristic
496C2×C22⋊D61C2×D411yescharacteristic
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504C22×Dic61C2×D411yescharacteristic
505C22×Dic61C2×D411yescharacteristic
506Q8×D61—22no—
507Q8×D61—41no—
508#11758224—24no—
509#11758224—44no—
510#11758224—82no—
511#11758222—82no—
512C2×D244—21no—
513C2×D244C2411yescharacteristic
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61C2×D411yescharacteristic
520C2×C4×D61C2×D411yescharacteristic
521C2×C4×D61C2411yescharacteristic
522C2×Dic122—22no—
523C2×Dic122—22no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—41no—
535C2×Dic122—41no—
536C2×Dic122—82no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2411yescharacteristic
539C2×Dic122C2411yescharacteristic
540C2×Dic122C2411yescharacteristic
541SD16×C61—41no—
542M16×C61—41no—
543C2×C8×C61—41no—
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61C2×D411yescharacteristic
582C22⋊Dic61C2×D411yescharacteristic
583#11758201—41no—
584#11758200—22no—
585#11758200—41no—
586#11758200—41no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198C2×D411yescharacteristic
598#11758198C2×D411yescharacteristic
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61C2×D411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
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×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669#11758190—22no—
670#11758190—41no—
671#11758190—41no—
672#11758189—41no—
673#11758189—41no—
674C23×C61—21no—
675C23×C61C22×D411yescharacteristic
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61C22×D411yescharacteristic
679Q8×C61—21no—
680Q8×C61—21no—
681Q8×C61—81no—
682D4×C61—22no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—42no—
686D4×C61—81no—
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—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—81no—
699C2×C4×C61—81no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C2511yescharacteristic
707C22⋊D61—22no—
708C22⋊D61—22no—
709C22⋊D61—42no—
710C22⋊D61—42no—
711C22⋊D61—42no—
712C22⋊D61—81no—
713C22⋊D61—81no—
714C2×Dic61—21no—
715C2×Dic61—22no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—41no—
723C2×Dic61—41no—
724C2×Dic61—42no—
725C2×Dic61—42no—
726C2×Dic61—42no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61#13714yes—
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737D244—21no—
738D244—21no—
739D244—81no—
740C4×D61—21no—
741C4×D61—21no—
742C4×D61—22no—
743C4×D61—41no—
744C4×D61—42no—
745C4×D61—42no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749Dic122—21no—
750Dic122—22no—
751Dic122—21no—
752Dic122—21no—
753Dic122—21no—
754Dic122—21no—
755Dic122—42no—
756Dic122—42no—
757Dic122—42no—
758Dic122—42no—
759Dic122—42no—
760Dic122—42no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic1222−1+412yes—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62114—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61C2×#13712yes—
784C22×C61C23×D411yescharacteristic
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61C2×2−1+411yescharacteristic
803C4×C61#58511yescharacteristic
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—22no—
808Dic61—21no—
809Dic61—21no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61C2×#13712yes—
817Dic61C2×#13712yes—
818#3511—611no—
819Q8×#41—611no—
820#3385—611no—
821#3385—611no—
822#3372—611no—
823#3372—611no—
824#3357—611no—
825#3357—611no—
826#3346—611no—
827#3346—611no—
828#3346—611no—
829#3346D6111yescharacteristic, complemented
830#3329—611no—
831#3329—611no—
832#3320—611no—
833#3320—611no—
834#3320—611no—
835#3320—611no—
836#3254—611no—
837#3254—611no—
838#3246—611no—
839#3237—611no—
840#3237—611no—
841#3230—611no—
842#3112—611no—
843#3112—611no—
844#3103—611no—
845#3078—611no—
846#3078—611no—
847C2×#477—611no—
848#2989—611no—
849C2×C61—22no—
850C2×C61—41no—
851C2×C61—81no—
852C2×C61#348911yescharacteristic
853C2×C61C22×#13711yescharacteristic
854C2×C61#358511yescharacteristic
855D61—41no—
856D61—81no—
857Q82—611no—
858#557—611no—
859#557—1221no—
860#556—1221no—
861#555—611no—
862#555—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—1221no—
868#554—1221no—
869#554—1221no—
870#554C2×D6111yescharacteristic
871#553—611no—
872#553—611no—
873#553—611no—
874#553C2×D6111yescharacteristic
875D4×Q8—611no—
876D4×Q8—611no—
877D4×Q8—611no—
878#548—1221no—
879#548—1221no—
880#547—1221no—
881#542—1221no—
882#542—1221no—
883#537—1221no—
884#533—611no—
885#533—611no—
886#533—611no—
887#533—611no—
888#533—611no—
889#533—1221no—
890#533—1221no—
891#533—1221no—
892#532—611no—
893#532—611no—
894#532—611no—
895C2×C4⋊Q8—611no—
896#520—1221no—
897C4×#41—611no—
898C4×#41—1221no—
899C2×C4×Q8—611no—
900C2×C4×Q8—611no—
901C2×C4×Q8—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501C2×D6111yescharacteristic
906#500—611no—
907#500—611no—
908#491—611no—
909#491—611no—
910#491—611no—
911#491—611no—
912#487—611no—
913#487—611no—
914#485—611no—
915#485—611no—
916#485—611no—
917#485—611no—
918#485—611no—
919#485—611no—
920#485—611no—
921#485C2×D6111yescharacteristic
922#484—611no—
923#484—611no—
924#484—611no—
925#484C2×D6111yescharacteristic
926#481—611no—
927#481C2×D6111yescharacteristic
928#480—611no—
929#480—611no—
930#480—611no—
931#480C2×D6111yescharacteristic
932#479—611no—
933#479—611no—
934#479—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#479C2×D6111yescharacteristic
940#477—611no—
941#477—611no—
942#477—611no—
943#477—611no—
944#477—611no—
945#477—611no—
946#477—611no—
947#477—611no—
948#477—611no—
949#477—611no—
950#477—611no—
951#477—611no—
952#476—611no—
953#476—611no—
954#475—611no—
955#475—611no—
956#475—611no—
957#475—611no—
958#474—611no—
959#474—611no—
960#474—611no—
961#474C2×D6111yescharacteristic
962#468—611no—
963#468—611no—
964#468—611no—
965#468—611no—
966#468—611no—
967#468—611no—
968#468—611no—
969#468C2×D6111yescharacteristic
970#465—611no—
971#465—611no—
972#465—611no—
973#465C2×D6111yescharacteristic
974#461—611no—
975#461—611no—
976#461—611no—
977#461—611no—
978#461—611no—
979#461—611no—
980#460—611no—
981#460—611no—
982#460—611no—
983#460—611no—
984#448—611no—
985#448—611no—
986#448—611no—
987#448—611no—
988#448—611no—
989#448—611no—
990#446—611no—
991#446—611no—
992#440—611no—
993#440—611no—
994#440—611no—
995#440—611no—
996#440—611no—
997#440—611no—
998#440—611no—
999#440C2×D6111yescharacteristic
1000C4×SD16—611no—
1001C4×SD16—611no—
1002C4×SD16—611no—
1003C4×SD16—611no—
1004#436—611no—
1005#436—611no—
1006#435—611no—
1007#435—611no—
1008#435—611no—
1009#435C2×D6111yescharacteristic
1010#432—611no—
1011#432—611no—
1012#431—611no—
1013#428—611no—
1014#428—611no—
1015#428—611no—
1016#428C2×D6111yescharacteristic
1017C2×#107—611no—
1018C2×#107C2×D6111yescharacteristic
1019#423—611no—
1020#423—611no—
1021C2×C4⋊C8—611no—
1022#419—611no—
1023#419—611no—
1024#419—611no—
1025#419—611no—
1026C2×#103—611no—
1027C2×#103—611no—
1028C61#6211411yescharacteristic, complemented, Sylow
1029C2×#41—611no—
1030C2×#41—1221no—
1031C2×#41—1221no—
1032C2×#41—1221no—
1033C22×Q8—611no—
1034C22×Q8—611no—
1035C22×Q8—611no—
1036C22×Q8—1221no—
1037C2×SD16—611no—
1038C2×SD16—611no—
1039C2×SD16—611no—
1040C2×SD16—611no—
1041C2×SD16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16C22×D6111yescharacteristic
1045C2×M16—611no—
1046C2×M16—611no—
1047C2×M16—611no—
1048C2×M16C22×D6111yescharacteristic
1049C22×C8—611no—
1050C22×C8C22×D6111yescharacteristic
1051C4⋊Q8—611no—
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8C22×D6111yescharacteristic
1070#127—611no—
1071#126—21no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#125—21no—
1076#125—611no—
1077#125—611no—
1078#125—611no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125—1221no—
1085#125—1221no—
1086#125—1221no—
1087#125C22×D6111yescharacteristic
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#123—21no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
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⋊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⋊Q8C22×D6111yescharacteristic
1129C22⋊Q8C22×D6111yescharacteristic
1130#121—21no—
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—1221no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121C22×D6111yescharacteristic
1144#121C22×D6111yescharacteristic
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—611no—
1155C4×Q8—611no—
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×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8C22×D6111yescharacteristic
1172C4×D4—21no—
1173C4×D4—21no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4C22×D6111yescharacteristic
1196C4×D4C22×D6111yescharacteristic
1197#117—611no—
1198#117—611no—
1199#117—611no—
1200#117—611no—
1201#117—611no—
1202#117—611no—
1203#117—1221no—
1204#117—1221no—
1205#117—1221no—
1206#117—1221no—
1207#117—1221no—
1208#117C22×D6111yescharacteristic
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—1221no—
1212C2×C4⋊C4—1221no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C4⋊C4—1221no—
1216C2×C4⋊C4—1221no—
1217C2×C4⋊C4C22×D6111yescharacteristic
1218C2×C4⋊C4C22×D6111yescharacteristic
1219C2×C4⋊C4C22×D6111yescharacteristic
1220C2×C42—611no—
1221C2×C42—611no—
1222C2×C42—611no—
1223C2×C42—1221no—
1224C2×C42—1221no—
1225C2×C42—1221no—
1226#107—611no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107C22×D6111yescharacteristic
1237#107C22×D6111yescharacteristic
1238#107C22×D6111yescharacteristic
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106C22×D6111yescharacteristic
1248#106C22×D6111yescharacteristic
1249#106C22×D6111yescharacteristic
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102C22×D6111yescharacteristic
1290#102C22×D6111yescharacteristic
1291#102C22×D6111yescharacteristic
1292C22⋊C8—611no—
1293C22⋊C8—611no—
1294C22⋊C8—611no—
1295C22⋊C8—611no—
1296C22⋊C8C22×D6111yescharacteristic
1297C22⋊C8C22×D6111yescharacteristic
1298#97—611no—
1299#97—611no—
1300#97—611no—
1301#97C22×D6111yescharacteristic
1302C4×C8—611no—
1303C4×C8—611no—
1304#41—1224no—
1305#41—4882no—
1306#41—4882no—
1307#41—2444no—
1308C2×Q8—21no—
1309C2×Q8—611no—
1310C2×Q8—611no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—1221no—
1314C2×Q8—1221no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1222no—
1322C2×Q8—1222no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1222no—
1326C2×Q8—4882no—
1327C2×Q8—2441no—
1328C2×Q8—2441no—
1329C2×Q8—2441no—
1330C2×Q8C23×D6111yescharacteristic
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4D4×D6111yescharacteristic
1343C2×D4C23×D6111yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4C23×D6111yescharacteristic
1366C22×C4C23×D6111yescharacteristic
1367SD16—41no—
1368SD16—1222no—
1369SD16—1222no—
1370SD16—2441no—
1371SD16—2441no—
1372SD16—2441no—
1373SD16—2441no—
1374SD16—2441no—
1375M16—41no—
1376M16—2441no—
1377M16—2441no—
1378M16—2441no—
1379C2×C8—41no—
1380C2×C8—611no—
1381C2×C8—611no—
1382C2×C8—611no—
1383C2×C8—611no—
1384C2×C8—2441no—
1385C2×C8C23×D6111yescharacteristic
1386C2×C8C23×D6111yescharacteristic
1387C2×C8C23×D6111yescharacteristic
1388C2×C8C23×D6111yescharacteristic
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
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⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4D4×D6111yescharacteristic
1475C22⋊C4D4×D6111yescharacteristic
1476C42—21no—
1477C42—21no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—611no—
1482C42—611no—
1483C42—611no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—1221no—
1488C42—1221no—
1489C42—1221no—
1490C42—1221no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42C23×D6111yescharacteristic
1500C23—21no—
1501C23—611no—
1502C23—1221no—
1503C23C2×D4×D6111yescharacteristic
1504C23C2×D4×D6111yescharacteristic
1505Q8—21no—
1506Q8—21no—
1507Q8—81no—
1508Q8—612no—
1509Q8—1222no—
1510Q8—1221no—
1511Q8—1221no—
1512Q8—1221no—
1513Q8—1221no—
1514Q8—1221no—
1515Q8—4881no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—4881no—
1519Q8—2442no—
1520Q8—2442no—
1521Q8—2442no—
1522Q8—2442no—
1523Q8—2442no—
1524Q8—2442no—
1525D4—22no—
1526D4—21no—
1527D4—21no—
1528D4—42no—
1529D4—81no—
1530D4—1222no—
1531D4—1222no—
1532D4—1221no—
1533D4—1221no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—2442no—
1538D4—2442no—
1539D4—2442no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—81no—
1552C2×C4—81no—
1553C2×C4—81no—
1554C2×C4—81no—
1555C2×C4—614no—
1556C2×C4—611no—
1557C2×C4—611no—
1558C2×C4—611no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—1222no—
1564C2×C4—1222no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—4881no—
1575C2×C4—4881no—
1576C2×C4—4881no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—2441no—
1580C2×C4—2442no—
1581C2×C4—2442no—
1582C2×C4—2442no—
1583C2×C4—2441no—
1584C2×C4—2441no—
1585C2×C4—2442no—
1586C2×C4—2442no—
1587C2×C4C2×D4×D6111yescharacteristic
1588C2×C4C2×D4×D6111yescharacteristic
1589C2×C4C2×D4×D6111yescharacteristic
1590C2×C4C2×D4×D6111yescharacteristic
1591C2×C4C24×D6111yescharacteristic
1592C8—21no—
1593C8—21no—
1594C8—21no—
1595C8—21no—
1596C8—1221no—
1597C8—1221no—
1598C8—1221no—
1599C8—1221no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—21no—
1604C22—21no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—1221no—
1609C22—1221no—
1610C22—1221no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22#137×D6112yes—
1615C22C22×D4×D6111yescharacteristic
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—612no—
1628C4—612no—
1629C4—1221no—
1630C4—1222no—
1631C4—1221no—
1632C4—1221no—
1633C4—1221no—
1634C4—1221no—
1635C4—2441no—
1636C4—2441no—
1637C4—2441no—
1638C4—2441no—
1639C4—2441no—
1640C4—2441no—
1641C42−1+4×D6111yescharacteristic
1642C4#1684059811yescharacteristic
1643C2—22no—
1644C2—41no—
1645C2—81no—
1646C2—4881no—
1647C2—2441no—
1648C2#2145949311yescharacteristic
1649C2C2×#137×D6111yescharacteristic
1650C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3346C2
socleC22×C61C23×D4
prime radical#21459721C2
hypercenter#3346D61
hypocenterC61#62114
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
2. #21459398C2semidirect
3. #21458726C2semidirect
4. #21458724C2semidirect
5. #21458603C2semidirect
6. #21458601C2semidirect
7. #21458441C2semidirect
8. #21458438C2semidirect
9. #21458302C2semidirect
10. #21458300C2semidirect
11. #21458298C2semidirect
12. #21458111C2semidirect
13. #21458108C2semidirect
14. #21457996C2semidirect
15. #21457992C2semidirect
16. #21457988C2semidirect
17. #21457984C2semidirect
18. #21457208C2semidirect
19. #21457201C2semidirect
20. #21457130C2semidirect
21. #21457034C2semidirect
22. #21457030C2semidirect
23. #21456968C2semidirect
24. #21455939C2semidirect
25. #21455938C2semidirect
26. #21455847C2semidirect
27. #21455623C2semidirect
28. #21455622C2semidirect
29. C2×#16840056C2semidirect
30. #21454931C2semidirect
31. C61×#3346C2semidirect
829. #3346D61semidirect
1028. C61#62114semidirect

Maximal subgroups

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

subgroupindex
#214597212
#214593982
#214587262
#214587242
#214586032
#214586012
#214584412
#214584382
#214583022
#214583002
#214582982
#214581112
#214581082
#214579962
#214579922
#214579882
#214579842
#214572082
#214572012
#214571302
#214570342
#214570302
#214569682
#214559392
#214559382
#214558472
#214556232
#214556222
C2×#168400562
#214549312
C61×#33462
#6211461