Finite Group Databasebeta

← #30576923

Subgroups — #30576923

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460452C211yesmaximal, characteristic, complemented
2#21459819C211yesmaximal, characteristic, complemented
3#21458781C211yesmaximal, characteristic, complemented
4#21458762C211yesmaximal, characteristic, complemented
5#21458547C211yesmaximal, characteristic, complemented
6#21458529C211yesmaximal, characteristic, complemented
7#21458365C211yesmaximal, characteristic, complemented
8#21458326C211yesmaximal, characteristic, complemented
9#21458290C211yesmaximal, characteristic, complemented
10#21458255C211yesmaximal, characteristic, complemented
11#21458217C211yesmaximal, characteristic, complemented
12#21458205C211yesmaximal, characteristic, complemented
13#21457946C211yesmaximal, characteristic, complemented
14#21457942C211yesmaximal, characteristic, complemented
15#21457826C211yesmaximal, characteristic, complemented
16#21457821C211yesmaximal, characteristic, complemented
17#21457766C211yesmaximal, characteristic, complemented
18#21457754C211yesmaximal, characteristic, complemented
19#21457237C211yesmaximal, characteristic, complemented
20#21457232C211yesmaximal, characteristic, complemented
21#21457144C211yesmaximal, characteristic, complemented
22#21457072C211yesmaximal, characteristic, complemented
23#21457069C211yesmaximal, characteristic, complemented
24#21457016C211yesmaximal, characteristic, complemented
25#21456096C211yesmaximal, characteristic, complemented
26#21456088C211yesmaximal, characteristic, complemented
27#21455935C211yesmaximal, characteristic, complemented
28#21455684C211yesmaximal, characteristic, complemented
29#21455610C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3083C211yesmaximal, characteristic, complemented
32#16840511—21no—
33#16840508—21no—
34#16840488C2211yescharacteristic
35#16840487C2211yescharacteristic
36#16840486—21no—
37#16840480C2211yescharacteristic
38#16840478C2211yescharacteristic
39#16840468C2211yescharacteristic
40#16840462—21no—
41#16840462C2211yescharacteristic
42#16840460—21no—
43#16840460C2211yescharacteristic
44#16840460C2211yescharacteristic
45#16840456C2211yescharacteristic
46#16840450C2211yescharacteristic
47#16840447C2211yescharacteristic
48#16840446—21no—
49#16840434C2211yescharacteristic
50#16840433—21no—
51#16840433C2211yescharacteristic
52#16840431C2211yescharacteristic
53#16840431C2211yescharacteristic
54#16840413—21no—
55#16840413C2211yescharacteristic
56#16840392C2211yescharacteristic
57#16840386C2211yescharacteristic
58#16840385—21no—
59#16840383C2211yescharacteristic
60#16840382—21no—
61#16840371—21no—
62#16840367—21no—
63#16840367C2211yescharacteristic
64#16840363—21no—
65#16840363C2211yescharacteristic
66#16840360—21no—
67#16840317C2211yescharacteristic
68#16840309—21no—
69#16840309C2211yescharacteristic
70#16840297C2211yescharacteristic
71#16840290—21no—
72#16840290C2211yescharacteristic
73#16840244C2211yescharacteristic
74C4×#11758226C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840161C2211yescharacteristic
81#16840128C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840125C2211yescharacteristic
85#16840110C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840099C2211yescharacteristic
89#16840092C2211yescharacteristic
90#16840089C2211yescharacteristic
91#16840089C2211yescharacteristic
92#16840089C2211yescharacteristic
93#16840089C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840085C2211yescharacteristic
97#16840085C2211yescharacteristic
98#16840084C2211yescharacteristic
99#16840082C2211yescharacteristic
100#16840080C2211yescharacteristic
101#16840080C2211yescharacteristic
102#16840077C2211yescharacteristic
103#16840075C2211yescharacteristic
104#16840074C2211yescharacteristic
105#16840071C2211yescharacteristic
106#16840071C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840068C2211yescharacteristic
109#16840067C2211yescharacteristic
110#16840065C2211yescharacteristic
111#16840065C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840065C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840059C2211yescharacteristic
116#16840059C2211yescharacteristic
117#16840056C2211yescharacteristic
118#16840053C2211yescharacteristic
119#16840052C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840051C2211yescharacteristic
122#16840049C2211yescharacteristic
123#16840047C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840043C2211yescharacteristic
126#16840039C2211yescharacteristic
127#16840015C2211yescharacteristic
128#16840014C2211yescharacteristic
129#16840009C2211yescharacteristic
130#16840008C2211yescharacteristic
131#16839999C2211yescharacteristic
132#16839999C2211yescharacteristic
133#16839998C2211yescharacteristic
134#16839997C2211yescharacteristic
135#16839992C2211yescharacteristic
136#16839991C2211yescharacteristic
137#16839990C2211yescharacteristic
138#16839990C2211yescharacteristic
139#16839984C2211yescharacteristic
140#16839978C2211yescharacteristic
141#16839978C2211yescharacteristic
142#16839977C2211yescharacteristic
143#16839963C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839958C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839956C2211yescharacteristic
149#16839927C2211yescharacteristic
150#16839927C2211yescharacteristic
151#16839924C2211yescharacteristic
152#16839910C2211yescharacteristic
153#16839910C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839889C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839866C2211yescharacteristic
161#16839865C2211yescharacteristic
162#16839865C2211yescharacteristic
163#16839861C2211yescharacteristic
164#16839861C2211yescharacteristic
165#16839854C2211yescharacteristic
166C4×#11758201C2211yescharacteristic
167C4×#11758200C2211yescharacteristic
168#16839844C2211yescharacteristic
169#16839833C2211yescharacteristic
170#16839832C2211yescharacteristic
171#16839831C2211yescharacteristic
172#16839831C2211yescharacteristic
173#16839827C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic
175#16839823C2211yescharacteristic
176#16839822C2211yescharacteristic
177#16839818C2211yescharacteristic
178#16839803C2211yescharacteristic
179#16839799C2211yescharacteristic
180#16839799C2211yescharacteristic
181#106×D61C2211yescharacteristic
182#16839787C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#544C2211yescharacteristic
189C61×#520C2211yescharacteristic
190C61×#479C2211yescharacteristic
191C61×#479C2211yescharacteristic
192C61×#478C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#477C2211yescharacteristic
195C61×#477C2211yescharacteristic
196C61×#474C2211yescharacteristic
197C61×#474C2211yescharacteristic
198C61×#428C2211yescharacteristic
199C2×#107×C61C2211yescharacteristic
200C61×#424C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×D488C2311yescharacteristic
214C2×D488C2311yescharacteristic
215C2×#11758199C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519775—21no—
226#14519774—21no—
227#14519774C2311yescharacteristic
228#14519773—21no—
229#14519773—21no—
230#14519773C2311yescharacteristic
231#14519773C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772D411yescharacteristic
240#14519771—21no—
241#14519771—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770D411yescharacteristic
245#14519769—21no—
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768—21no—
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767D411yescharacteristic
258#14519766—21no—
259#14519766—21no—
260#14519766—21no—
261#14519765C2311yescharacteristic
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763D411yescharacteristic
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519762—21no—
272#14519762—21no—
273#14519762—21no—
274#14519762D411yescharacteristic
275#14519760—21no—
276#14519760—21no—
277#14519760—21no—
278#14519760—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759D411yescharacteristic
283#14519757—21no—
284#14519757—21no—
285#14519757—21no—
286#14519757C2311yescharacteristic
287#14519757C2311yescharacteristic
288#14519756C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755D411yescharacteristic
295#14519753—21no—
296#14519753—21no—
297#14519752—21no—
298#14519752—21no—
299#14519752—21no—
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751—21no—
306#14519751—21no—
307#14519751—21no—
308#14519751—21no—
309#14519751—21no—
310#14519751C2311yescharacteristic
311#14519751C2311yescharacteristic
312#14519751C2311yescharacteristic
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750D411yescharacteristic
322#14519748—21no—
323#14519748—21no—
324#14519748C2311yescharacteristic
325#14519748C2311yescharacteristic
326Q8×Dic61—21no—
327Q8×Dic61—21no—
328Q8×Dic61C2311yescharacteristic
329Q8×Dic61C2311yescharacteristic
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334#14519742—21no—
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337C4×D244—21no—
338C4×D244—21no—
339C4×D244—21no—
340C4×D244—21no—
341C4×D244C2311yescharacteristic
342C4×D244C2311yescharacteristic
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345#14519739—21no—
346#14519739—21no—
347#14519739—21no—
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61C2311yescharacteristic
359C4×C22⋊D61C2311yescharacteristic
360#14519736—21no—
361#14519735—21no—
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735C2311yescharacteristic
366#14519735C2311yescharacteristic
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519734—21no—
370#14519734C2311yescharacteristic
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61C2311yescharacteristic
374C4⋊C4×D61C2311yescharacteristic
375C42×D61—21no—
376C42×D61C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519701C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519699C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519697C2311yescharacteristic
414#14519697C2311yescharacteristic
415#14519697C2311yescharacteristic
416#14519697C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#125×C61—21no—
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C4×Q8×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×D4×C61—21no—
449C4×D4×C61—21no—
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452#117×C61—21no—
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61C2×D411yescharacteristic
501C2×C22⋊D61C2×D411yescharacteristic
502#11758226—22no—
503#11758226—22no—
504#11758226—41no—
505#11758226—41no—
506#11758222—82no—
507#11758222—82no—
508#11758222—82no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244C2×D411yescharacteristic
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541M16×C61—41no—
542C2×C8×C61—41no—
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C4⋊C4×C61—21no—
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×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C42×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61C2×D411yescharacteristic
579C22⋊Dic61C2×D411yescharacteristic
580#11758202—22no—
581#11758201—22no—
582#11758200—41no—
583#11758199—41no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664D488—41no—
665D488—41no—
666#11758190—41no—
667#11758190—41no—
668#11758189—41no—
669C8×D61—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61C22×D411yescharacteristic
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61C22×D411yescharacteristic
678C22×D61C22×D411yescharacteristic
679Q8×C61—21no—
680Q8×C61—81no—
681Q8×C61—81no—
682Q8×C612−1+412yes—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—42no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—42no—
696C2×C4×C61—81no—
697C2×C4×C61—81no—
698C2×C4×C61—81no—
699C2×C4×C61—81no—
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C2511yescharacteristic
706C22⋊D61—41no—
707C22⋊D61—41no—
708C22⋊D61—42no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C22⋊D61—81no—
712C22⋊D61—81no—
713C22⋊D61—81no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C22⋊D61—81no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728D244—21no—
729D244—21no—
730D244—21no—
731D244—21no—
732D244—21no—
733D244—21no—
734D244—41no—
735D244—42no—
736D244—42no—
737D244—81no—
738D244—81no—
739D244—81no—
740D244—81no—
741D244—81no—
742D244—81no—
743C4×D61—21no—
744C4×D61—21no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—41no—
748C4×D61—41no—
749C4×D61—42no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760Dic122—21no—
761Dic122—21no—
762Dic122—41no—
763Dic122—42no—
764Dic122—81no—
765Dic122—81no—
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#62162—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61C23×D411yescharacteristic
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—21no—
785C2×D61—21no—
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—22no—
802C4×C61—21no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61C2×2−1+411yescharacteristic
810C4×C61#58511yescharacteristic
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822#3565—611no—
823#3517—611no—
824#3390—611no—
825#3388—611no—
826#3368—611no—
827#3366—611no—
828#3350—611no—
829#3347—611no—
830#3345—611no—
831#3343—611no—
832#3339—611no—
833#3337—611no—
834#3317—611no—
835#3317—611no—
836#3309—611no—
837#3309—611no—
838#3305—611no—
839#3304—611no—
840#3257—611no—
841#3257—611no—
842#3247—611no—
843#3241—611no—
844#3241—611no—
845#3235—611no—
846#3125—611no—
847#3124—611no—
848#3111—611no—
849#3084—611no—
850#3083D6111yescharacteristic, complemented
851#3076—611no—
852#2992—611no—
853C2×C61—41no—
854C2×C61—81no—
855C2×C61#348911yescharacteristic
856C2×C61#358411yescharacteristic
857C2×C61#358511yescharacteristic
858D61—41no—
859D61—41no—
860D61—81no—
861D61—81no—
862D61—81no—
863#563—1221no—
864#562—1221no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—1221no—
869#555—611no—
870#554—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#553—611no—
875#553—1221no—
876#553—1221no—
877#552—611no—
878#552—611no—
879#552—1221no—
880#550—611no—
881#550—611no—
882#550—611no—
883#550—611no—
884#550—1221no—
885#547—611no—
886#547—1221no—
887#544—611no—
888#544C2×D6111yescharacteristic
889#542—611no—
890#542—611no—
891#542—1221no—
892#542—1221no—
893#541—1221no—
894#540—611no—
895#540—611no—
896#540—1221no—
897#540—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#532—1221no—
902#529—611no—
903#529—611no—
904#529—1221no—
905#520—611no—
906#520C2×D6111yescharacteristic
907C4×#41—611no—
908#501—611no—
909#501—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#486—611no—
919#486—611no—
920#485—611no—
921#484—611no—
922#483—611no—
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#481—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#480—611no—
937#480—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479C2×D6111yescharacteristic
944#479C2×D6111yescharacteristic
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478C2×D6111yescharacteristic
953#478C2×D6111yescharacteristic
954#477—611no—
955#477C2×D6111yescharacteristic
956#477C2×D6111yescharacteristic
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#475—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474C2×D6111yescharacteristic
967#474C2×D6111yescharacteristic
968#469—611no—
969#469—611no—
970#468—611no—
971#468—611no—
972#466—611no—
973#466—611no—
974#466—611no—
975#466—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#464—611no—
981#463—611no—
982#463—611no—
983#463—611no—
984#460—611no—
985#460—611no—
986#460—611no—
987#459—611no—
988#459—611no—
989#459—611no—
990#452—611no—
991#452—611no—
992#452—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#446—611no—
997#446—611no—
998#442—611no—
999#442—611no—
1000#441—611no—
1001#441—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006C4×Q16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010#435—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014C8×D4—611no—
1015C8×D4—611no—
1016#433—611no—
1017#433—611no—
1018#432—611no—
1019#428—611no—
1020#428C2×D6111yescharacteristic
1021#427—611no—
1022#427—611no—
1023C2×#107C2×D6111yescharacteristic
1024C2×#106—611no—
1025#424—611no—
1026#424C2×D6111yescharacteristic
1027C2×C4⋊C8—611no—
1028#417—611no—
1029#417C2×D6111yescharacteristic
1030#416—611no—
1031#416—611no—
1032#416—611no—
1033#416C2×D6111yescharacteristic
1034C61#6216211yescharacteristic, complemented, Sylow
1035C2×#41—611no—
1036C2×#41—611no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C2×#41C22×D6111yescharacteristic
1041C2×Q16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×D8—611no—
1047C2×D8—611no—
1048C2×D8—611no—
1049C2×M16—611no—
1050C2×M16C22×D6111yescharacteristic
1051C22×C8—611no—
1052C22×C8—611no—
1053C22×C8—611no—
1054C22×C8C22×D6111yescharacteristic
1055C4⋊Q8—21no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—1221no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8C22×D6111yescharacteristic
1063C4⋊Q8C22×D6111yescharacteristic
1064#127—611no—
1065#127—611no—
1066#127—611no—
1067#127—1221no—
1068#127—1221no—
1069#127—1221no—
1070#126—611no—
1071#126—611no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—21no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125C22×D6111yescharacteristic
1098#125C22×D6111yescharacteristic
1099#124—611no—
1100#124—611no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#123—611no—
1108#123—611no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—611no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8C22×D6111yescharacteristic
1181C4×Q8C22×D6111yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209#117—21no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117C22×D6111yescharacteristic
1222#117C22×D6111yescharacteristic
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4C22×D6111yescharacteristic
1229C2×C4⋊C4C22×D6111yescharacteristic
1230C2×C42—611no—
1231C2×C42—1221no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107C22×D6111yescharacteristic
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#107C22×D6111yescharacteristic
1243#107C22×D6111yescharacteristic
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106C22×D6111yescharacteristic
1255#106C22×D6111yescharacteristic
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8C22×D6111yescharacteristic
1263C4⋊C8C22×D6111yescharacteristic
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103C22×D6111yescharacteristic
1273#103C22×D6111yescharacteristic
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304#97—611no—
1305#97—611no—
1306#97—611no—
1307#97—611no—
1308C4×C8—611no—
1309C4×C8—611no—
1310#41—22no—
1311#41—41no—
1312#41—1222no—
1313#41—1222no—
1314#41—4882no—
1315#41—4882no—
1316#41—4882no—
1317#41—2441no—
1318#41—2441no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—611no—
1322C2×Q8—611no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8C23×D6111yescharacteristic
1327C2×D4—21no—
1328C2×D4—611no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—611no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4C23×D6111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—611no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4C23×D6111yescharacteristic
1373Q16—1222no—
1374SD16—1222no—
1375SD16—2441no—
1376SD16—2441no—
1377SD16—2441no—
1378D8—2441no—
1379D8—2441no—
1380D8—2441no—
1381M16—41no—
1382M16—2441no—
1383C2×C8—41no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
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—611no—
1452C22⋊C4—611no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
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⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4D4×D6111yescharacteristic
1485C22⋊C4D4×D6111yescharacteristic
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42C23×D6111yescharacteristic
1503C42C23×D6111yescharacteristic
1504C23—21no—
1505C23—611no—
1506C23—611no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23C2×D4×D6111yescharacteristic
1511Q8—21no—
1512Q8—81no—
1513Q8—81no—
1514Q8—1221no—
1515Q8—1221no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—2441no—
1519Q8—2442no—
1520Q8#1451982512yes—
1521D4—21no—
1522D4—21no—
1523D4—42no—
1524D4—1221no—
1525D4—1221no—
1526D4—1221no—
1527D4—1221no—
1528D4—1221no—
1529D4—1221no—
1530D4—4881no—
1531D4—4881no—
1532D4—4881no—
1533D4—4881no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—2441no—
1545D4—2442no—
1546D4—2442no—
1547D4—2441no—
1548D4—2441no—
1549D4—2442no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—42no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—2441no—
1588C2×C4—2441no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4C2×D4×D6111yescharacteristic
1593C2×C4C2×D4×D6111yescharacteristic
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C24×D6111yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—1221no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—1221no—
1613C22—1221no—
1614C22—1221no—
1615C22—1221no—
1616C22—1221no—
1617C22—1221no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22C22×D4×D6111yescharacteristic
1628C4—21no—
1629C4—22no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4C2×#1451982511yescharacteristic
1652C4#1684059811yescharacteristic
1653C2—41no—
1654C2—81no—
1655C2—4881no—
1656C2—4881no—
1657C2—4881no—
1658C2—2441no—
1659C2—2441no—
1660C2#2145949511yescharacteristic
1661C2#2146058911yescharacteristic
1662C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3083C2
socleC22×C61C23×D4
hypercenter#3083D61
hypocenterC61#62162
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3083

Complements

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

NH ≅ G/Ntype
1. #21460452C2semidirect
2. #21459819C2semidirect
3. #21458781C2semidirect
4. #21458762C2semidirect
5. #21458547C2semidirect
6. #21458529C2semidirect
7. #21458365C2semidirect
8. #21458326C2semidirect
9. #21458290C2semidirect
10. #21458255C2semidirect
11. #21458217C2semidirect
12. #21458205C2semidirect
13. #21457946C2semidirect
14. #21457942C2semidirect
15. #21457826C2semidirect
16. #21457821C2semidirect
17. #21457766C2semidirect
18. #21457754C2semidirect
19. #21457237C2semidirect
20. #21457232C2semidirect
21. #21457144C2semidirect
22. #21457072C2semidirect
23. #21457069C2semidirect
24. #21457016C2semidirect
25. #21456096C2semidirect
26. #21456088C2semidirect
27. #21455935C2semidirect
28. #21455684C2semidirect
29. #21455610C2semidirect
30. #21454956C2semidirect
31. C61×#3083C2semidirect
850. #3083D61semidirect
1034. C61#62162semidirect

Maximal subgroups

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

subgroupindex
#214604522
#214598192
#214587812
#214587622
#214585472
#214585292
#214583652
#214583262
#214582902
#214582552
#214582172
#214582052
#214579462
#214579422
#214578262
#214578212
#214577662
#214577542
#214572372
#214572322
#214571442
#214570722
#214570692
#214570162
#214560962
#214560882
#214559352
#214556842
#214556102
#214549562
C61×#30832
#6216261