Finite Group Databasebeta

← #30570996

Subgroups — #30570996

Order 15616.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460321C211yesmaximal, characteristic, complemented
2#21459635C211yesmaximal, characteristic, complemented
3#21458783C211yesmaximal, characteristic, complemented
4#21458772C211yesmaximal, characteristic, complemented
5#21458771C211yesmaximal, characteristic, complemented
6#21458759C211yesmaximal, characteristic, complemented
7#21458746C211yesmaximal, characteristic, complemented
8#21458737C211yesmaximal, characteristic, complemented
9#21458724C211yesmaximal, characteristic, complemented
10#21458715C211yesmaximal, characteristic, complemented
11#21458660C211yesmaximal, characteristic, complemented
12#21458653C211yesmaximal, characteristic, complemented
13#21458636C211yesmaximal, characteristic, complemented
14#21458608C211yesmaximal, characteristic, complemented
15#21458586C211yesmaximal, characteristic, complemented
16#21458579C211yesmaximal, characteristic, complemented
17#21458562C211yesmaximal, characteristic, complemented
18#21458534C211yesmaximal, characteristic, complemented
19#21457113C211yesmaximal, characteristic, complemented
20#21457106C211yesmaximal, characteristic, complemented
21#21457091C211yesmaximal, characteristic, complemented
22#21457076C211yesmaximal, characteristic, complemented
23#21457040C211yesmaximal, characteristic, complemented
24#21456099C211yesmaximal, characteristic, complemented
25#21456084C211yesmaximal, characteristic, complemented
26#21456028C211yesmaximal, characteristic, complemented
27#21456013C211yesmaximal, characteristic
28#21455930C211yesmaximal, characteristic, complemented
29#21455922C211yesmaximal, characteristic, complemented
30#21454924C211yesmaximal, characteristic, complemented
31C61×#3239C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840514—21no—
34#16840495C2211yescharacteristic
35#16840494C2211yescharacteristic
36#16840492C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840489C2211yescharacteristic
39#16840488C2211yescharacteristic
40#16840487C2211yescharacteristic
41#16840487C2211yescharacteristic
42#16840484C2211yescharacteristic
43#16840481C2211yescharacteristic
44#16840473C2211yescharacteristic
45#16840473C2211yescharacteristic
46#16840471C2211yescharacteristic
47#16840468C2211yescharacteristic
48#16840467—21no—
49#16840467—21no—
50#16840451—21no—
51#16840445—21no—
52#16840427C2211yescharacteristic
53#16840427C2211yescharacteristic
54Q8×C22⋊D61—21no—
55Q8×C22⋊D61—21no—
56#16840393C2211yescharacteristic
57#16840393C2211yescharacteristic
58#16840389—21no—
59#16840389—21no—
60#16840385C2211yescharacteristic
61#16840380—21no—
62#16840379C2211yescharacteristic
63#16840377—21no—
64#16840372C2211yescharacteristic
65#16840365C2211yescharacteristic
66#16840355—21no—
67#16840354—21no—
68#16840319C2211yescharacteristic
69#16840317—21no—
70C4⋊Q8×D61—21no—
71#16840296C2211yescharacteristic
72#16840243C2211yescharacteristic
73#16840243C2211yescharacteristic
74C4×#11758222C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840168C2211yescharacteristic
80#16840168C2211yescharacteristic
81#16840166C2211yescharacteristic
82#16840163C2211yescharacteristic
83#16840162C2211yescharacteristic
84#16840159C2211yescharacteristic
85#16840129C2211yescharacteristic
86#16840125C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840124C2211yescharacteristic
89#16840123C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840118C2211yescharacteristic
92#16840115C2211yescharacteristic
93#16840111C2211yescharacteristic
94#16840107C2211yescharacteristic
95#16840104C2211yescharacteristic
96#16840100C2211yescharacteristic
97#16840092C2211yescharacteristic
98#16840092C2211yescharacteristic
99#16840087C2211yescharacteristic
100#16840083C2211yescharacteristic
101#16840075C2211yescharacteristic
102#16840075C2211yescharacteristic
103#16840072C2211yescharacteristic
104#16840072C2211yescharacteristic
105#16840071C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840068C2211yescharacteristic
108#16840068C2211yescharacteristic
109#16840067C2211yescharacteristic
110#16840066C2211yescharacteristic
111#16840065C2211yescharacteristic
112#16840065C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840061C2211yescharacteristic
116#16840061C2211yescharacteristic
117#16840060C2211yescharacteristic
118#16840059C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840055C2211yescharacteristic
122#16840054C2211yescharacteristic
123#16840054C2211yescharacteristic
124#16840051C2211yescharacteristic
125#16840051C2211yescharacteristic
126#16840050C2211yescharacteristic
127#16840049C2211yescharacteristic
128#16840049C2211yescharacteristic
129#16840046C2211yescharacteristic
130#16840046C2211yescharacteristic
131#16840045C2211yescharacteristic
132#16840041C2211yescharacteristic
133#16840041C2211yescharacteristic
134#16840040C2211yescharacteristic
135#16839987C2211yescharacteristic
136#16839985C2211yescharacteristic
137#16839983C2211yescharacteristic
138#16839981C2211yescharacteristic
139#16839980C2211yescharacteristic
140#16839978C2211yescharacteristic
141#16839976C2211yescharacteristic
142#16839974C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839926C2211yescharacteristic
148#16839922C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839905C2211yescharacteristic
151#16839891C2211yescharacteristic
152#16839891C2211yescharacteristic
153#16839891C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839890C2211yescharacteristic
157#16839890C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839875C2211yescharacteristic
160#16839873C2211yescharacteristic
161#16839872C2211yescharacteristic
162#16839871C2211yescharacteristic
163#16839870C2211yescharacteristic
164#16839868C2211yescharacteristic
165#16839867C2211yescharacteristic
166#16839866C2211yescharacteristic
167#16839865C2211yescharacteristic
168#16839864C2211yescharacteristic
169#16839864C2211yescharacteristic
170#16839862C2211yescharacteristic
171#16839861C2211yescharacteristic
172#16839861C2211yescharacteristic
173#16839860C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839856C2211yescharacteristic
176#16839854C2211yescharacteristic
177#16839853C2211yescharacteristic
178#16839849C2211yescharacteristic
179#16839849C2211yescharacteristic
180#16839847C2211yescharacteristic
181#16839844C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839820C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839820C2211yescharacteristic
187#16839819C2211yescharacteristic
188C2×C4⋊Q8×C61C2211yescharacteristic
189C61×#529C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#489C2211yescharacteristic
194C61×#484C2211yescharacteristic
195C61×#484C2211yescharacteristic
196C61×#481C2211yescharacteristic
197C61×#481C2211yescharacteristic
198C61×#475C2211yescharacteristic
199C61×#475C2211yescharacteristic
200C61×#474C2211yescharacteristic
201C61×#474C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×Q8×D61—21no—
205C2×Q8×D61—21no—
206C2×Dic244C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758190C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519777D411yescharacteristic
215#14519777D411yescharacteristic
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519775—21no—
229#14519775—21no—
230#14519775—21no—
231#14519775—21no—
232#14519775—21no—
233#14519775—21no—
234#14519775C2311yescharacteristic
235#14519773C2311yescharacteristic
236#14519772—21no—
237#14519772—21no—
238#14519771—21no—
239#14519771—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519769—21no—
246#14519769D411yescharacteristic
247#14519769D411yescharacteristic
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768—21no—
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519768C2311yescharacteristic
258#14519768C2311yescharacteristic
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519766C2311yescharacteristic
267#14519765C2311yescharacteristic
268#14519764—21no—
269#14519764C2311yescharacteristic
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519761—21no—
274#14519761—21no—
275#14519760—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519758—21no—
282#14519757—21no—
283#14519757—21no—
284#14519757—21no—
285#14519757—21no—
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756—21no—
290#14519756—21no—
291#14519756D411yescharacteristic
292#14519756D411yescharacteristic
293#14519756D411yescharacteristic
294#14519756D411yescharacteristic
295#14519756C2311yescharacteristic
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753—21no—
310#14519753—21no—
311#14519753—21no—
312#14519753—21no—
313#14519751C2311yescharacteristic
314#14519749—21no—
315#14519748—21no—
316Q8×Dic61—21no—
317Q8×Dic61—21no—
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320C4×Dic122—21no—
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356#14519737—21no—
357#14519736C2311yescharacteristic
358#14519736C2311yescharacteristic
359#14519736C2311yescharacteristic
360#14519735—21no—
361#14519735—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519733—21no—
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C42×D61—21no—
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519687C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×Q8×C61—21no—
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61—21no—
438C4⋊Q8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442#126×C61—21no—
443#125×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61—21no—
450C4×D4×C61C2311yescharacteristic
451#117×C61—21no—
452C2×C4⋊C4×C61—21no—
453C2×C4⋊C4×C61C2311yescharacteristic
454C2×C4⋊C4×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—82no—
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61C2×D411yescharacteristic
490C22×C4×C61C2×D411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498Q8×D61—82no—
499Q8×D61—82no—
500#11758222—22no—
501#11758222—22no—
502C2×D244C2411yescharacteristic
503C2×D244C2411yescharacteristic
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122C2×D411yescharacteristic
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2×D411yescharacteristic
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C4⋊C4×C61—21no—
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61C2411yescharacteristic
541C4⋊C4×C61C2411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C42×C61—21no—
552C42×C61C2×D411yescharacteristic
553C42×C61C2×D411yescharacteristic
554C42×C61C2411yescharacteristic
555C42×C61C2411yescharacteristic
556C22⋊Dic61—21no—
557C22⋊Dic61—21no—
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61C2×D411yescharacteristic
563C22⋊Dic61C2×D411yescharacteristic
564C22⋊Dic61C2×D411yescharacteristic
565C22⋊Dic61C2×D411yescharacteristic
566#11758202—22no—
567#11758201—22no—
568#11758200—22no—
569#11758199—22no—
570#11758198—21no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584C4⋊Dic61—21no—
585C4⋊Dic61—21no—
586C4⋊Dic61—21no—
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61C2×D411yescharacteristic
593C4⋊Dic61C2×D411yescharacteristic
594C4⋊Dic61C2×D411yescharacteristic
595C4⋊Dic61C2×D411yescharacteristic
596C4⋊Dic61C2×D411yescharacteristic
597C4⋊Dic61C2×D411yescharacteristic
598C4⋊Dic61C2×D411yescharacteristic
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2411yescharacteristic
601C4⋊Dic61C2411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
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
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
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×Dic61C2411yescharacteristic
651C4×Dic61C2411yescharacteristic
652C4×Dic61C2411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C2×#92418C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658Dic244—22no—
659D488—22no—
660#11758190—22no—
661#11758190—22no—
662C23×C61—21no—
663C23×C61C22×D411yescharacteristic
664C22×D61—21no—
665C22×D61—21no—
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—42no—
669Q8×C61—42no—
670Q8×C61—81no—
671Q8×C61—81no—
672D4×C61—21no—
673D4×C61—21no—
674D4×C61—81no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—41no—
685C2×C4×C61—41no—
686C2×C4×C61—81no—
687C2×C4×C61—81no—
688C2×C4×C61—81no—
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C2511yescharacteristic
695C22⋊D61—24no—
696C22⋊D61—81no—
697C22⋊D61—81no—
698C22⋊D61—81no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—81no—
706C2×Dic61—81no—
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715D244—21no—
716D244—21no—
717D244—21no—
718D2442−1+412yes—
719C4×D61—24no—
720C4×D61—42no—
721C4×D61—42no—
722C4×D61—81no—
723C4×D61—81no—
724C4×D61—81no—
725C4×D61—81no—
726C4×D61—81no—
727C4×D61—81no—
728C4×D61—81no—
729Dic122—21no—
730Dic122—21no—
731Dic122—21no—
732Dic122—41no—
733Dic122—41no—
734Dic122—41no—
735Dic122—41no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic1222−1+412yes—
743C8×C61—21no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747#92418—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#61879—611nomaximal, Sylow
752C22×C61—21no—
753C22×C61—21no—
754C22×C61—21no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61C23×D411yescharacteristic
759C2×D61—22no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C4×C61—21no—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61C2×2−1+411yescharacteristic
778C4×C61C2×2−1+411yescharacteristic
779Dic61—21no—
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—21no—
785Dic61—21no—
786Dic61—21no—
787Dic61—22no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3557—611no—
794#3503—611no—
795#3390—611no—
796#3389—611no—
797#3388—611no—
798#3388—611no—
799#3387—611no—
800#3386—611no—
801#3385—611no—
802#3384—611no—
803#3377—611no—
804#3376—611no—
805#3375—611no—
806#3373—611no—
807#3371—611no—
808#3370—611no—
809#3369—611no—
810#3367—611no—
811#3244—611no—
812#3243—611no—
813#3242—611no—
814#3241—611no—
815#3239D6111yescharacteristic, complemented
816#3238—611no—
817#3125—611no—
818#3124—611no—
819#3120—611no—
820#3119—611no—
821#3111—611no—
822#3111—611no—
823#2987—611no—
824C2×C61—41no—
825C2×C61—81no—
826C2×C61#348611yescharacteristic
827C2×C61#358511yescharacteristic
828C2×C61#358611yescharacteristic
829D61—42no—
830D61—81no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559—611no—
835Q82—611no—
836Q82—611no—
837#557—611no—
838#557—611no—
839#557—611no—
840#557—611no—
841#556—611no—
842#556—611no—
843#554—611no—
844#554—611no—
845#554—611no—
846#554—611no—
847#554—1221no—
848#554—1221no—
849#552—1221no—
850#552—1221no—
851D4×Q8—611no—
852D4×Q8—611no—
853D4×Q8—1221no—
854D4×Q8—1221no—
855#544—611no—
856#544—611no—
857#544—1221no—
858#544—1221no—
859#542—611no—
860#542—611no—
861#542—1221no—
862#542—1221no—
863#541—611no—
864#540—611no—
865#539—1221no—
866#539—1221no—
867#533—611no—
868#533—1221no—
869C2×C4⋊Q8—1221no—
870C2×C4⋊Q8C2×D6111yescharacteristic
871#529—611no—
872#529C2×D6111yescharacteristic
873#520—611no—
874#520—611no—
875C4×#41—611no—
876#501—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501C2×D6111yescharacteristic
883#501C2×D6111yescharacteristic
884#500—611no—
885#499—611no—
886#499—611no—
887#498—611no—
888#491—611no—
889#490—611no—
890#489—611no—
891#489—611no—
892#489—611no—
893#489—611no—
894#489C2×D6111yescharacteristic
895#489C2×D6111yescharacteristic
896#488—611no—
897#488—611no—
898#487—611no—
899#486—611no—
900#485—611no—
901#485—611no—
902#484C2×D6111yescharacteristic
903#484C2×D6111yescharacteristic
904#483—611no—
905#483—611no—
906#482—611no—
907#482—611no—
908#481C2×D6111yescharacteristic
909#481C2×D6111yescharacteristic
910#480—611no—
911#480—611no—
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#478—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475C2×D6111yescharacteristic
942#475C2×D6111yescharacteristic
943#474—611no—
944#474—611no—
945#474—611no—
946#474C2×D6111yescharacteristic
947#474C2×D6111yescharacteristic
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#463—611no—
953#463—611no—
954#463—611no—
955#463—611no—
956#462—611no—
957#461—611no—
958#460—611no—
959#459—611no—
960#452—611no—
961#452—611no—
962#449—611no—
963#449—611no—
964#446—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446—611no—
969#446—611no—
970#446—611no—
971#446—611no—
972#442—611no—
973#442—611no—
974#442—611no—
975#442—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988C4×Q16—611no—
989C4×Q16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994C4×D8—611no—
995C4×D8—611no—
996#433—611no—
997#433—611no—
998#433—611no—
999#433—611no—
1000#432—611no—
1001#432C2×D6111yescharacteristic
1002C61#6187911yescharacteristic, complemented, Sylow
1003C2×#41—611no—
1004C22×Q8—21no—
1005C22×Q8—1221no—
1006C22×Q8—1221no—
1007C2×Q16—611no—
1008C2×Q16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16—611no—
1013C2×D8—611no—
1014C2×D8—611no—
1015C4⋊Q8—21no—
1016C4⋊Q8—21no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8C22×D6111yescharacteristic
1039C4⋊Q8C22×D6111yescharacteristic
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042#127—611no—
1043#126—21no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—611no—
1058#125—611no—
1059#125—611no—
1060#125—611no—
1061#125—611no—
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#125C22×D6111yescharacteristic
1075#124—611no—
1076#124—611no—
1077#124—611no—
1078#124—1221no—
1079#124—1221no—
1080#124—1221no—
1081#124—1221no—
1082#124C22×D6111yescharacteristic
1083#123—21no—
1084#123—1221no—
1085#123—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093C22⋊Q8—611no—
1094C22⋊Q8—611no—
1095C22⋊Q8—611no—
1096C22⋊Q8—611no—
1097C22⋊Q8—611no—
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⋊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⋊Q8C22×D6111yescharacteristic
1125#121—611no—
1126#121—1221no—
1127#121—1221no—
1128#121C22×D6111yescharacteristic
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8C22×D6111yescharacteristic
1151C4×D4—21no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4—1221no—
1169C4×D4—1221no—
1170C4×D4—1221no—
1171C4×D4—1221no—
1172C4×D4C22×D6111yescharacteristic
1173#117—21no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117—1221no—
1182#117—1221no—
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—1221no—
1185C2×C4⋊C4—1221no—
1186C2×C4⋊C4—1221no—
1187C2×C4⋊C4—1221no—
1188C2×C4⋊C4—1221no—
1189C2×C4⋊C4—1221no—
1190C2×C4⋊C4C22×D6111yescharacteristic
1191C2×C4⋊C4C22×D6111yescharacteristic
1192C2×C42—1221no—
1193C2×C42C22×D6111yescharacteristic
1194#107—611no—
1195#107—611no—
1196#107—611no—
1197#107—611no—
1198#107—611no—
1199#107—611no—
1200#107—611no—
1201#107—611no—
1202#107C22×D6111yescharacteristic
1203#107C22×D6111yescharacteristic
1204#107C22×D6111yescharacteristic
1205#107C22×D6111yescharacteristic
1206#106—611no—
1207#106—611no—
1208#106—611no—
1209#106—611no—
1210#106—611no—
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106C22×D6111yescharacteristic
1215#106C22×D6111yescharacteristic
1216#106C22×D6111yescharacteristic
1217#106C22×D6111yescharacteristic
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8C22×D6111yescharacteristic
1229C4⋊C8C22×D6111yescharacteristic
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103—611no—
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103C22×D6111yescharacteristic
1243#103C22×D6111yescharacteristic
1244#103C22×D6111yescharacteristic
1245#103C22×D6111yescharacteristic
1246#102—611no—
1247#102—611no—
1248#102—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—611no—
1257#102—611no—
1258#102C22×D6111yescharacteristic
1259#102C22×D6111yescharacteristic
1260#102C22×D6111yescharacteristic
1261#102C22×D6111yescharacteristic
1262C22⋊C8—611no—
1263C22⋊C8—611no—
1264C22⋊C8C22×D6111yescharacteristic
1265C22⋊C8C22×D6111yescharacteristic
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97C22×D6111yescharacteristic
1273#97C22×D6111yescharacteristic
1274C4×C8—611no—
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8—611no—
1278#41—1222no—
1279#41—1222no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—21no—
1284C2×Q8—82no—
1285C2×Q8—611no—
1286C2×Q8—611no—
1287C2×Q8—611no—
1288C2×Q8—611no—
1289C2×Q8—611no—
1290C2×Q8—611no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—4882no—
1298C2×Q8—4882no—
1299C2×Q8C23×D6111yescharacteristic
1300C2×D4—21no—
1301C2×D4—611no—
1302C2×D4—611no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4—1221no—
1306C2×D4—1221no—
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—1221no—
1312C22×C4—1221no—
1313C22×C4—1221no—
1314C22×C4—1221no—
1315C22×C4—1221no—
1316C22×C4—1221no—
1317C22×C4—1221no—
1318C22×C4—1221no—
1319C22×C4—1221no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4D4×D6111yescharacteristic
1324C22×C4D4×D6111yescharacteristic
1325C22×C4C23×D6111yescharacteristic
1326Q16—1222no—
1327Q16—1222no—
1328SD16—1222no—
1329SD16—1222no—
1330SD16—1222no—
1331SD16—1222no—
1332D8—1222no—
1333D8—1222no—
1334C2×C8—611no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8—611no—
1338C2×C8C23×D6111yescharacteristic
1339C2×C8C23×D6111yescharacteristic
1340C2×C8C23×D6111yescharacteristic
1341C2×C8C23×D6111yescharacteristic
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—611no—
1353C4⋊C4—611no—
1354C4⋊C4—611no—
1355C4⋊C4—611no—
1356C4⋊C4—611no—
1357C4⋊C4—611no—
1358C4⋊C4—611no—
1359C4⋊C4—611no—
1360C4⋊C4—611no—
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—611no—
1371C4⋊C4—611no—
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⋊C4C23×D6111yescharacteristic
1407C4⋊C4C23×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—611no—
1418C22⋊C4—611no—
1419C22⋊C4—611no—
1420C22⋊C4—611no—
1421C22⋊C4—1221no—
1422C22⋊C4—1221no—
1423C22⋊C4—1221no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C42—21no—
1442C42—611no—
1443C42—611no—
1444C42—611no—
1445C42—611no—
1446C42—1221no—
1447C42—1221no—
1448C42—1221no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42—1221no—
1455C42—1221no—
1456C42—1221no—
1457C42—1221no—
1458C42D4×D6111yescharacteristic
1459C42D4×D6111yescharacteristic
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C23—21no—
1463C23—1221no—
1464C23—1221no—
1465C23C2×D4×D6111yescharacteristic
1466Q8—21no—
1467Q8—21no—
1468Q8—42no—
1469Q8—42no—
1470Q8—81no—
1471Q8—81no—
1472Q8—612no—
1473Q8—1221no—
1474Q8—1221no—
1475Q8—1221no—
1476Q8—4881no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—4881no—
1482Q8—2441no—
1483Q8—2441no—
1484Q8—2441no—
1485Q8—2441no—
1486D4—21no—
1487D4—21no—
1488D4—81no—
1489D4—612no—
1490D4—1224no—
1491D4—1221no—
1492D4—1221no—
1493D4—1221no—
1494D4—4881no—
1495D4—4881no—
1496D4—4881no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—81no—
1509C2×C4—81no—
1510C2×C4—81no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—611no—
1515C2×C4—611no—
1516C2×C4—611no—
1517C2×C4—611no—
1518C2×C4—611no—
1519C2×C4—1224no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—1221no—
1526C2×C4—4881no—
1527C2×C4—4881no—
1528C2×C4—4881no—
1529C2×C4—4881no—
1530C2×C4—4881no—
1531C2×C4—4881no—
1532C2×C4—4881no—
1533C2×C4—4881no—
1534C2×C4—4881no—
1535C2×C4—2442no—
1536C2×C4—2442no—
1537C2×C4C2×D4×D6111yescharacteristic
1538C2×C4C2×D4×D6111yescharacteristic
1539C2×C4C2×D4×D6111yescharacteristic
1540C2×C4C2×D4×D6111yescharacteristic
1541C2×C4C2×D4×D6111yescharacteristic
1542C2×C4C24×D6111yescharacteristic
1543C8—21no—
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—1221no—
1548C8—1221no—
1549C8—1221no—
1550C8—1221no—
1551C22—21no—
1552C22—21no—
1553C22—21no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—1222no—
1558C22—2441no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22C22×D4×D6111yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—1222no—
1577C4—1221no—
1578C4—1221no—
1579C4—1221no—
1580C4—1221no—
1581C4—1221no—
1582C4—1221no—
1583C4—1221no—
1584C4—1221no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C42−1+4×D6111yescharacteristic
1591C42−1+4×D6111yescharacteristic
1592C2—41no—
1593C2—81no—
1594C2—4881no—
1595C2—2442no—
1596C2#2145946811yescharacteristic
1597C2#2146059511yescharacteristic
1598C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3239C2
socleC22×C61C23×D4
prime radical#21456013C2
hypercenter#3239D61
hypocenterC61#61879
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3239

Complements

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

NH ≅ G/Ntype
1. #21460321C2semidirect
2. #21459635C2semidirect
3. #21458783C2semidirect
4. #21458772C2semidirect
5. #21458771C2semidirect
6. #21458759C2semidirect
7. #21458746C2semidirect
8. #21458737C2semidirect
9. #21458724C2semidirect
10. #21458715C2semidirect
11. #21458660C2semidirect
12. #21458653C2semidirect
13. #21458636C2semidirect
14. #21458608C2semidirect
15. #21458586C2semidirect
16. #21458579C2semidirect
17. #21458562C2semidirect
18. #21458534C2semidirect
19. #21457113C2semidirect
20. #21457106C2semidirect
21. #21457091C2semidirect
22. #21457076C2semidirect
23. #21457040C2semidirect
24. #21456099C2semidirect
25. #21456084C2semidirect
26. #21456028C2semidirect
28. #21455930C2semidirect
29. #21455922C2semidirect
30. #21454924C2semidirect
31. C61×#3239C2semidirect
815. #3239D61semidirect
1002. C61#61879semidirect

Maximal subgroups

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

subgroupindex
#214603212
#214596352
#214587832
#214587722
#214587712
#214587592
#214587462
#214587372
#214587242
#214587152
#214586602
#214586532
#214586362
#214586082
#214585862
#214585792
#214585622
#214585342
#214571132
#214571062
#214570912
#214570762
#214570402
#214560992
#214560842
#214560282
#214560132
#214559302
#214559222
#214549242
C61×#32392
#6187961