Finite Group Databasebeta

← #30570961

Subgroups — #30570961

Order 15616.

1600 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460311C211yesmaximal, characteristic, complemented
2#21459639C211yesmaximal, characteristic
3#21458789C211yesmaximal, characteristic, complemented
4#21458783C211yesmaximal, characteristic, complemented
5#21458783C211yesmaximal, characteristic, complemented
6#21458782C211yesmaximal, characteristic, complemented
7#21458768C211yesmaximal, characteristic, complemented
8#21458761C211yesmaximal, characteristic, complemented
9#21458757C211yesmaximal, characteristic, complemented
10#21458625C211yesmaximal, characteristic, complemented
11#21458625C211yesmaximal, characteristic, complemented
12#21458624C211yesmaximal, characteristic, complemented
13#21458621C211yesmaximal, characteristic, complemented
14#21458601C211yesmaximal, characteristic, complemented
15#21458601C211yesmaximal, characteristic, complemented
16#21458600C211yesmaximal, characteristic, complemented
17#21458598C211yesmaximal, characteristic, complemented
18#21457094C211yesmaximal, characteristic, complemented
19#21457090C211yesmaximal, characteristic, complemented
20#21457088C211yesmaximal, characteristic, complemented
21#21457084C211yesmaximal, characteristic, complemented
22#21457026C211yesmaximal, characteristic, complemented
23#21457023C211yesmaximal, characteristic, complemented
24#21456038C211yesmaximal, characteristic
25#21456038C211yesmaximal, characteristic
26#21456037C211yesmaximal, characteristic
27#21456029C211yesmaximal, characteristic
28#21455983C211yesmaximal, characteristic
29#21455977C211yesmaximal, characteristic
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3388C211yesmaximal, characteristic, complemented
32C61⋊#564—21no—
33C61⋊#564—21no—
34#16840491C2211yescharacteristic
35#16840490C2211yescharacteristic
36#16840490C2211yescharacteristic
37#16840490C2211yescharacteristic
38#16840490C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840489C2211yescharacteristic
41#16840489C2211yescharacteristic
42#16840489C2211yescharacteristic
43#16840488—21no—
44#16840487—21no—
45#16840487C2211yescharacteristic
46#16840487C2211yescharacteristic
47#16840471C2211yescharacteristic
48#16840471C2211yescharacteristic
49#16840470—21no—
50#16840469C2211yescharacteristic
51#16840467—21no—
52#16840466—21no—
53#16840466—21no—
54#16840392C2211yescharacteristic
55#16840391—21no—
56#16840391—21no—
57#16840389C2211yescharacteristic
58#16840375C2211yescharacteristic
59#16840375C2211yescharacteristic
60#16840373—21no—
61#16840371—21no—
62#16840371—21no—
63#16840370—21no—
64#16840370C2211yescharacteristic
65#16840370C2211yescharacteristic
66#16840317C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840316C2211yescharacteristic
69#16840314—21no—
70C2×#14519767—21no—
71#125×D61C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840169C2211yescharacteristic
80#16840168C2211yescharacteristic
81#16840162C2211yescharacteristic
82#16840162C2211yescharacteristic
83#16840161C2211yescharacteristic
84#16840132C2211yescharacteristic
85#16840132C2211yescharacteristic
86#16840131C2211yescharacteristic
87#16840131C2211yescharacteristic
88#16840129C2211yescharacteristic
89#16840129C2211yescharacteristic
90#16840129C2211yescharacteristic
91#16840129C2211yescharacteristic
92#16840114C2211yescharacteristic
93#16840113C2211yescharacteristic
94#16840111C2211yescharacteristic
95#16840111C2211yescharacteristic
96#16840106C2211yescharacteristic
97#16840106C2211yescharacteristic
98#16840105C2211yescharacteristic
99#16840101C2211yescharacteristic
100#16840099C2211yescharacteristic
101#16840099C2211yescharacteristic
102#16840099C2211yescharacteristic
103#16840096C2211yescharacteristic
104#16840094C2211yescharacteristic
105#16840094C2211yescharacteristic
106#16840094C2211yescharacteristic
107#16840091C2211yescharacteristic
108#16840072C2211yescharacteristic
109#16840072C2211yescharacteristic
110#16840072C2211yescharacteristic
111#16840072C2211yescharacteristic
112#16840072C2211yescharacteristic
113#16840070C2211yescharacteristic
114#16840070C2211yescharacteristic
115#16840069C2211yescharacteristic
116#16840069C2211yescharacteristic
117#16840068C2211yescharacteristic
118#16840068C2211yescharacteristic
119#16840068C2211yescharacteristic
120#16840068C2211yescharacteristic
121#16840068C2211yescharacteristic
122#16840066C2211yescharacteristic
123#16840066C2211yescharacteristic
124#16840066C2211yescharacteristic
125#16840066C2211yescharacteristic
126#16840064C2211yescharacteristic
127#16840060C2211yescharacteristic
128#16840057C2211yescharacteristic
129#16840056C2211yescharacteristic
130#16840056C2211yescharacteristic
131#16840056C2211yescharacteristic
132#16840054C2211yescharacteristic
133#16840054C2211yescharacteristic
134#16840050C2211yescharacteristic
135#16840048C2211yescharacteristic
136#16840046C2211yescharacteristic
137#16840046C2211yescharacteristic
138#16839973C2211yescharacteristic
139#16839973C2211yescharacteristic
140#16839973C2211yescharacteristic
141#16839971C2211yescharacteristic
142#16839971C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839967C2211yescharacteristic
145#16839967C2211yescharacteristic
146#16839967C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839965C2211yescharacteristic
149#16839965C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839925C2211yescharacteristic
152#16839925C2211yescharacteristic
153#16839921C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839892C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839890C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839889C2211yescharacteristic
161#16839870C2211yescharacteristic
162#16839870C2211yescharacteristic
163#16839868C2211yescharacteristic
164#16839868C2211yescharacteristic
165#16839868C2211yescharacteristic
166#16839868C2211yescharacteristic
167#16839867C2211yescharacteristic
168#16839867C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839862C2211yescharacteristic
171#16839859C2211yescharacteristic
172#16839859C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175C4×Dic244C2211yescharacteristic
176#16839856C2211yescharacteristic
177#16839856C2211yescharacteristic
178C4×#11758202C2211yescharacteristic
179#16839853C2211yescharacteristic
180#16839853C2211yescharacteristic
181C4×#11758200C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#557C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#499C2211yescharacteristic
193C61×#479C2211yescharacteristic
194C61×#479C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#476C2211yescharacteristic
198C61×#475C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C2×Dic244C2311yescharacteristic
205C2×Dic244C2311yescharacteristic
206C2×Dic244C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758200C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211#14519777C2311yescharacteristic
212#14519777C2311yescharacteristic
213#14519777C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519776—21no—
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776D411yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519775—21no—
226#14519775—21no—
227#14519775—21no—
228#14519775D411yescharacteristic
229#14519775C2311yescharacteristic
230#14519775C2311yescharacteristic
231#14519775C2311yescharacteristic
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519771—21no—
239#14519771—21no—
240#14519769—21no—
241#14519769—21no—
242#14519769—21no—
243#14519769—21no—
244#14519769—21no—
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768—21no—
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768—21no—
253#14519768—21no—
254#14519768—21no—
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519768C2311yescharacteristic
258#14519768C2311yescharacteristic
259#14519768C2311yescharacteristic
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519767—21no—
279#14519767—21no—
280#14519767—21no—
281#14519767—21no—
282#14519767—21no—
283#14519767—21no—
284#14519767—21no—
285#14519767—21no—
286#14519767—21no—
287#14519767—21no—
288#14519767D411yescharacteristic
289#14519767D411yescharacteristic
290#14519757—21no—
291#14519757D411yescharacteristic
292#14519757C2311yescharacteristic
293#14519757C2311yescharacteristic
294#14519757C2311yescharacteristic
295#14519756—21no—
296#14519756—21no—
297#14519756—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755D411yescharacteristic
302#14519755D411yescharacteristic
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519753—21no—
310#14519753—21no—
311#14519753D411yescharacteristic
312#14519753C2311yescharacteristic
313Q8×Dic61—21no—
314Q8×Dic61—21no—
315Q8×Dic61—21no—
316Q8×Dic61—21no—
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343#14519742C2311yescharacteristic
344D4×Dic61C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519735—21no—
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519734C2311yescharacteristic
357#14519734C2311yescharacteristic
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361C2×C4⋊Dic61—21no—
362C2×#11758196—21no—
363C2×#11758196—21no—
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C42×D61C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519710C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519708C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C4⋊Q8×C61—21no—
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C2×C22⋊D61—21no—
487C22×Dic61—21no—
488C22×Dic61—21no—
489C22×Dic61—21no—
490C22×Dic61—21no—
491#11758224—22no—
492#11758224—22no—
493C2×C4×D61—21no—
494C2×C4×D61—21no—
495C2×C4×D61C2×D411yescharacteristic
496C2×C4×D61C2×D411yescharacteristic
497C2×C4×D61C2411yescharacteristic
498C2×Dic122—21no—
499C2×Dic122—21no—
500C2×Dic122—21no—
501C2×Dic122—21no—
502C2×Dic122C2×D411yescharacteristic
503C2×Dic122C2×D411yescharacteristic
504C2×Dic122C2×D411yescharacteristic
505C2×Dic122C2411yescharacteristic
506C2×Dic122C2411yescharacteristic
507C2×Dic122C2411yescharacteristic
508C2×Dic122C2411yescharacteristic
509SD16×C61—22no—
510C2×C8×C61C2411yescharacteristic
511C2×C8×C61C2411yescharacteristic
512C2×C8×C61C2411yescharacteristic
513C2×C8×C61C2411yescharacteristic
514C4⋊C4×C61—21no—
515C4⋊C4×C61—21no—
516C4⋊C4×C61—21no—
517C4⋊C4×C61—21no—
518C4⋊C4×C61—21no—
519C4⋊C4×C61—21no—
520C4⋊C4×C61—21no—
521C4⋊C4×C61—21no—
522C4⋊C4×C61—21no—
523C4⋊C4×C61—21no—
524C4⋊C4×C61—21no—
525C4⋊C4×C61—21no—
526C4⋊C4×C61—21no—
527C4⋊C4×C61C2×D411yescharacteristic
528C4⋊C4×C61C2×D411yescharacteristic
529C4⋊C4×C61C2×D411yescharacteristic
530C4⋊C4×C61C2411yescharacteristic
531C4⋊C4×C61C2411yescharacteristic
532C4⋊C4×C61C2411yescharacteristic
533C4⋊C4×C61C2411yescharacteristic
534C4⋊C4×C61C2411yescharacteristic
535C4⋊C4×C61C2411yescharacteristic
536C22⋊C4×C61—21no—
537C22⋊C4×C61—21no—
538C22⋊C4×C61—21no—
539C42×C61—21no—
540C42×C61—21no—
541C42×C61—21no—
542C42×C61C2411yescharacteristic
543C42×C61C2411yescharacteristic
544C42×C61C2411yescharacteristic
545C22⋊Dic61—21no—
546C22⋊Dic61—21no—
547C22⋊Dic61—21no—
548#11758202—22no—
549#11758200—22no—
550#11758200—22no—
551#11758200—22no—
552#11758198—21no—
553#11758198—21no—
554#11758198—21no—
555#11758198—21no—
556#11758198—21no—
557#11758198C2×D411yescharacteristic
558#11758198C2×D411yescharacteristic
559#11758198C2×D411yescharacteristic
560#11758198C2×D411yescharacteristic
561C4⋊Dic61—21no—
562C4⋊Dic61—21no—
563C4⋊Dic61—21no—
564C4⋊Dic61—21no—
565C4⋊Dic61—21no—
566C4⋊Dic61—21no—
567C4⋊Dic61—21no—
568C4⋊Dic61—21no—
569C4⋊Dic61—21no—
570C4⋊Dic61—21no—
571C4⋊Dic61—21no—
572C4⋊Dic61—21no—
573C4⋊Dic61—21no—
574C4⋊Dic61—21no—
575C4⋊Dic61—21no—
576C4⋊Dic61—21no—
577C4⋊Dic61C2×D411yescharacteristic
578C4⋊Dic61C2×D411yescharacteristic
579C4⋊Dic61C2×D411yescharacteristic
580C4⋊Dic61C2411yescharacteristic
581C4⋊Dic61C2411yescharacteristic
582C4⋊Dic61C2411yescharacteristic
583C4⋊Dic61C2411yescharacteristic
584#11758196—21no—
585#11758196—21no—
586#11758196—21no—
587#11758196—21no—
588#11758196—21no—
589#11758196—21no—
590#11758196—21no—
591#11758196—21no—
592#11758196—21no—
593#11758196—21no—
594#11758196—21no—
595#11758196—21no—
596#11758196—21no—
597#11758196—21no—
598#11758196—21no—
599#11758196—21no—
600#11758196—21no—
601#11758196—21no—
602#11758196—21no—
603#11758196—21no—
604#11758196—21no—
605#11758196—21no—
606#11758196—21no—
607#11758196—21no—
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196C2×D411yescharacteristic
622#11758196C2×D411yescharacteristic
623#11758196C2×D411yescharacteristic
624#11758196C2×D411yescharacteristic
625#11758196C2×D411yescharacteristic
626#11758196C2×D411yescharacteristic
627#11758196C2×D411yescharacteristic
628#11758196C2×D411yescharacteristic
629#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
631C4×Dic61—21no—
632C4×Dic61—21no—
633C4×Dic61—21no—
634C4×Dic61—21no—
635C4×Dic61—21no—
636C4×Dic61—21no—
637C4×Dic61—21no—
638C4×Dic61—21no—
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61C2×D411yescharacteristic
648C4×Dic61C2×D411yescharacteristic
649C4×Dic61C2411yescharacteristic
650C4×Dic61C2411yescharacteristic
651C4×Dic61C2411yescharacteristic
652C2×#92418C2411yescharacteristic
653C2×#92418C2411yescharacteristic
654C2×#92418C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656Dic244—22no—
657Dic244—22no—
658Dic244—22no—
659C23×C61—21no—
660C22×D61C22×D411yescharacteristic
661Q8×C61—21no—
662Q8×C61—21no—
663Q8×C61—41no—
664Q8×C61—42no—
665Q8×C61—81no—
666D4×C61—21no—
667D4×C612−1+412yes—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—81no—
676C2×C4×C61—81no—
677C2×C4×C61—81no—
678C2×C4×C61C22×D411yescharacteristic
679C2×C4×C61C22×D411yescharacteristic
680C2×C4×C61C22×D411yescharacteristic
681C2×C4×C61C22×D411yescharacteristic
682C2×C4×C61C22×D411yescharacteristic
683C2×C4×C61C22×D411yescharacteristic
684C2×C4×C61C2511yescharacteristic
685C22⋊D61—24no—
686C2×Dic61—24no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—81no—
696C2×Dic61—81no—
697C2×Dic61—81no—
698C2×Dic61C22×D411yescharacteristic
699C2×Dic61C22×D411yescharacteristic
700C2×Dic61C22×D411yescharacteristic
701C2×Dic61C22×D411yescharacteristic
702C2×Dic61C22×D411yescharacteristic
703C2×Dic61C22×D411yescharacteristic
704C2×Dic61C22×D411yescharacteristic
705C4×D61—21no—
706C4×D61—21no—
707C4×D61—41no—
708C4×D61—41no—
709C4×D61—81no—
710C4×D61—81no—
711Dic122—21no—
712Dic122—21no—
713Dic122—21no—
714Dic122—21no—
715Dic122—21no—
716Dic122—21no—
717Dic122—21no—
718Dic122—41no—
719Dic122—41no—
720Dic122—41no—
721Dic122—42no—
722Dic122—81no—
723Dic122—81no—
724Dic122—81no—
725Dic1222−1+412yes—
726C8×C61—21no—
727C8×C61—21no—
728C8×C61—21no—
729C8×C61—21no—
730#92418—21no—
731#92418—21no—
732#92418—21no—
733#92418—21no—
734#61877—611nomaximal, Sylow
735C22×C61—22no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61C23×D411yescharacteristic
739C2×D61—21no—
740C2×D61—21no—
741C2×D61—21no—
742C4×C61—21no—
743C4×C61—21no—
744C4×C61—21no—
745C4×C61—21no—
746C4×C61—21no—
747C4×C61—21no—
748C4×C61—41no—
749C4×C61—41no—
750C4×C61—41no—
751C4×C61—41no—
752C4×C61—41no—
753C4×C61—41no—
754C4×C61—41no—
755C4×C61C2×2−1+411yescharacteristic
756C4×C61C2×2−1+411yescharacteristic
757Dic61—21no—
758Dic61—21no—
759Dic61—21no—
760Dic61—21no—
761Dic61—21no—
762Dic61—21no—
763Dic61—22no—
764Dic61—21no—
765Dic61—41no—
766Dic61—41no—
767Dic61—41no—
768Dic61—41no—
769Dic61—41no—
770Dic61—41no—
771Dic61—41no—
772#3556—611no—
773#3504—611no—
774#3390—611no—
775#3390—611no—
776#3390—611no—
777#3390—611no—
778#3388—611no—
779#3388—611no—
780#3388—611no—
781#3388D6111yescharacteristic, complemented
782#3374—611no—
783#3374—611no—
784#3374—611no—
785#3374—611no—
786#3372—611no—
787#3372—611no—
788#3372—611no—
789#3372—611no—
790#3242—611no—
791#3242—611no—
792#3242—611no—
793#3242—611no—
794#3236—611no—
795#3236—611no—
796#3120—611no—
797#3120—611no—
798#3120—611no—
799#3120—611no—
800#3116—611no—
801#3116—611no—
802#2987—611no—
803C2×C61—42no—
804C2×C61#348611yescharacteristic
805C2×C61#358611yescharacteristic
806C2×C61#358611yescharacteristic
807D61—41no—
808#564—1221no—
809#564—1221no—
810#557—611no—
811#557—611no—
812#557—611no—
813#557—611no—
814#557—611no—
815#557—611no—
816#557—611no—
817#557—611no—
818#557—611no—
819#557—611no—
820#557—611no—
821#557—1221no—
822#557—1221no—
823#557C2×D6111yescharacteristic
824#554—611no—
825#554—611no—
826#554—611no—
827#554—1221no—
828#554—1221no—
829#554—1221no—
830#554—1221no—
831#554C2×D6111yescharacteristic
832#544—611no—
833#544—611no—
834#544—1221no—
835#544—1221no—
836#541—611no—
837#541—611no—
838#541—611no—
839#541—611no—
840#541—1221no—
841#541—1221no—
842#541—1221no—
843#541—1221no—
844#533—611no—
845#533—611no—
846#533—611no—
847#533—1221no—
848C2×#125—611no—
849C2×#125—1221no—
850#520—611no—
851#520—611no—
852C4×#41—611no—
853#501—611no—
854#501—611no—
855#501—611no—
856#501—611no—
857#501—611no—
858#501—611no—
859#501C2×D6111yescharacteristic
860#501C2×D6111yescharacteristic
861#499—611no—
862#499—611no—
863#499—611no—
864#499C2×D6111yescharacteristic
865#491—611no—
866#491—611no—
867#491—611no—
868#491—611no—
869#491—611no—
870#491—611no—
871#491—611no—
872#491—611no—
873#487—611no—
874#487—611no—
875#487—611no—
876#487—611no—
877#485—611no—
878#485—611no—
879#485—611no—
880#485—611no—
881#484—611no—
882#484—611no—
883#484—611no—
884#484—611no—
885#483—611no—
886#483—611no—
887#483—611no—
888#483—611no—
889#479—611no—
890#479—611no—
891#479—611no—
892#479—611no—
893#479—611no—
894#479—611no—
895#479—611no—
896#479—611no—
897#479—611no—
898#479—611no—
899#479—611no—
900#479—611no—
901#479—611no—
902#479—611no—
903#479—611no—
904#479—611no—
905#479—611no—
906#479—611no—
907#479C2×D6111yescharacteristic
908#479C2×D6111yescharacteristic
909#478—611no—
910#478—611no—
911#478C2×D6111yescharacteristic
912#478C2×D6111yescharacteristic
913#477—611no—
914#477—611no—
915#477—611no—
916#477—611no—
917#477—611no—
918#477—611no—
919#476—611no—
920#476C2×D6111yescharacteristic
921#475—611no—
922#475—611no—
923#475—611no—
924#475C2×D6111yescharacteristic
925#462—611no—
926#462—611no—
927#462—611no—
928#462—611no—
929#462—611no—
930#462—611no—
931#461—611no—
932#461—611no—
933#461—611no—
934#461—611no—
935#461—611no—
936#461—611no—
937#452—611no—
938#452—611no—
939#452—611no—
940#452—611no—
941#446—611no—
942#446—611no—
943#446—611no—
944#446—611no—
945#446—611no—
946#446—611no—
947#446—611no—
948#446C2×D6111yescharacteristic
949#441—611no—
950#441—611no—
951#441—611no—
952#441—611no—
953#441—611no—
954#441—611no—
955#441—611no—
956#441—611no—
957#440—611no—
958#440—611no—
959#440—611no—
960#440—611no—
961#440—611no—
962#440—611no—
963#440C2×D6111yescharacteristic
964#440C2×D6111yescharacteristic
965C4×Q16—611no—
966C4×Q16—611no—
967C4×Q16—611no—
968C4×Q16—611no—
969C4×SD16—611no—
970C4×SD16—611no—
971C4×SD16—611no—
972C4×SD16C2×D6111yescharacteristic
973#433—611no—
974#433—611no—
975#433—611no—
976#433—611no—
977#432—611no—
978#432—611no—
979C61#6187711yescharacteristic, complemented, Sylow
980C2×#41—611no—
981C2×Q16—611no—
982C2×Q16—611no—
983C2×Q16—611no—
984C2×Q16—611no—
985C2×SD16—611no—
986C2×SD16—611no—
987C2×SD16—611no—
988C2×SD16C22×D6111yescharacteristic
989C4⋊Q8—21no—
990C4⋊Q8—611no—
991C4⋊Q8—611no—
992C4⋊Q8—611no—
993C4⋊Q8—611no—
994C4⋊Q8—611no—
995C4⋊Q8—611no—
996C4⋊Q8—611no—
997C4⋊Q8—611no—
998C4⋊Q8—611no—
999C4⋊Q8—611no—
1000C4⋊Q8—611no—
1001C4⋊Q8—611no—
1002C4⋊Q8—1221no—
1003C4⋊Q8—1221no—
1004C4⋊Q8—1221no—
1005C4⋊Q8—1221no—
1006C4⋊Q8—1221no—
1007C4⋊Q8—1221no—
1008C4⋊Q8—1221no—
1009C4⋊Q8—1221no—
1010C4⋊Q8—1221no—
1011C4⋊Q8C22×D6111yescharacteristic
1012C4⋊Q8C22×D6111yescharacteristic
1013#126—1221no—
1014#126—1221no—
1015#126—1221no—
1016#126—1221no—
1017#126—1221no—
1018#126—1221no—
1019#126—1221no—
1020#126—1221no—
1021#125—21no—
1022#125—21no—
1023#125—611no—
1024#125—611no—
1025#125—611no—
1026#125—611no—
1027#125—611no—
1028#125—611no—
1029#125—611no—
1030#125—611no—
1031#125—611no—
1032#125—611no—
1033#125—1221no—
1034#125—1221no—
1035#125—1221no—
1036#125—1221no—
1037#125—1221no—
1038#125—1221no—
1039#125—1221no—
1040#125—1221no—
1041#125—1221no—
1042#125—1221no—
1043#125—1221no—
1044#125—1221no—
1045#125—1221no—
1046#125—1221no—
1047#125—1221no—
1048#125—1221no—
1049#125—1221no—
1050#125—1221no—
1051#125—1221no—
1052#125—1221no—
1053#125—1221no—
1054#125—1221no—
1055#125—1221no—
1056#125—1221no—
1057#125—1221no—
1058#125—1221no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125C22×D6111yescharacteristic
1074#125C22×D6111yescharacteristic
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—21no—
1080C22⋊Q8—611no—
1081C22⋊Q8—611no—
1082C22⋊Q8—611no—
1083C22⋊Q8—611no—
1084C22⋊Q8—611no—
1085C22⋊Q8—611no—
1086C22⋊Q8—611no—
1087C22⋊Q8—611no—
1088C22⋊Q8—1221no—
1089C22⋊Q8—1221no—
1090C22⋊Q8—1221no—
1091C22⋊Q8—1221no—
1092C22⋊Q8—1221no—
1093C22⋊Q8—1221no—
1094C22⋊Q8—1221no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C4×Q8—21no—
1104C4×Q8—611no—
1105C4×Q8—611no—
1106C4×Q8—611no—
1107C4×Q8—611no—
1108C4×Q8—611no—
1109C4×Q8—611no—
1110C4×Q8—611no—
1111C4×Q8—611no—
1112C4×Q8—611no—
1113C4×Q8—611no—
1114C4×Q8—611no—
1115C4×Q8—611no—
1116C4×Q8—611no—
1117C4×Q8—611no—
1118C4×Q8—611no—
1119C4×Q8—611no—
1120C4×Q8—611no—
1121C4×Q8—611no—
1122C4×Q8—1221no—
1123C4×Q8—1221no—
1124C4×Q8—1221no—
1125C4×Q8—1221no—
1126C4×Q8—1221no—
1127C4×Q8—1221no—
1128C4×Q8—1221no—
1129C4×Q8—1221no—
1130C4×Q8—1221no—
1131C4×Q8—1221no—
1132C4×Q8—1221no—
1133C4×Q8—1221no—
1134C4×Q8—1221no—
1135C4×Q8C22×D6111yescharacteristic
1136C4×Q8C22×D6111yescharacteristic
1137C4×Q8C22×D6111yescharacteristic
1138C4×Q8C22×D6111yescharacteristic
1139C4×D4—611no—
1140C4×D4—611no—
1141C4×D4—611no—
1142C4×D4—1221no—
1143C4×D4—1221no—
1144C4×D4—1221no—
1145C4×D4—1221no—
1146C4×D4—1221no—
1147C4×D4—1221no—
1148C4×D4C22×D6111yescharacteristic
1149C4×D4C22×D6111yescharacteristic
1150C4×D4C22×D6111yescharacteristic
1151#117—611no—
1152#117—611no—
1153#117—611no—
1154#117—1221no—
1155#117—1221no—
1156#117—1221no—
1157#117—1221no—
1158#117—1221no—
1159C2×C4⋊C4—21no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—1221no—
1163C2×C4⋊C4—1221no—
1164C2×C4⋊C4—1221no—
1165C2×C4⋊C4—1221no—
1166C2×C4⋊C4—1221no—
1167C2×C4⋊C4—1221no—
1168C2×C4⋊C4—1221no—
1169C2×C42—611no—
1170C2×C42—1221no—
1171#107—611no—
1172#107—611no—
1173#107—611no—
1174#107—611no—
1175#107—611no—
1176#107—611no—
1177#107—611no—
1178#107—611no—
1179#107C22×D6111yescharacteristic
1180#107C22×D6111yescharacteristic
1181#107C22×D6111yescharacteristic
1182#107C22×D6111yescharacteristic
1183#106—611no—
1184#106—611no—
1185#106—611no—
1186#106—611no—
1187#106—611no—
1188#106—611no—
1189#106—611no—
1190#106C22×D6111yescharacteristic
1191#106C22×D6111yescharacteristic
1192#106C22×D6111yescharacteristic
1193#106C22×D6111yescharacteristic
1194#106C22×D6111yescharacteristic
1195C4⋊C8—611no—
1196C4⋊C8—611no—
1197C4⋊C8—611no—
1198C4⋊C8—611no—
1199C4⋊C8—611no—
1200C4⋊C8—611no—
1201C4⋊C8—611no—
1202C4⋊C8—611no—
1203C4⋊C8—611no—
1204C4⋊C8C22×D6111yescharacteristic
1205C4⋊C8C22×D6111yescharacteristic
1206C4⋊C8C22×D6111yescharacteristic
1207#103—611no—
1208#103—611no—
1209#103—611no—
1210#103—611no—
1211#103—611no—
1212#103—611no—
1213#103—611no—
1214#103—611no—
1215#103—611no—
1216#103—611no—
1217#103—611no—
1218#103—611no—
1219#103—611no—
1220#103—611no—
1221#103—611no—
1222#103—611no—
1223#103—611no—
1224#103—611no—
1225#103—611no—
1226#103—611no—
1227#103—611no—
1228#103—611no—
1229#103—611no—
1230#103—611no—
1231#103—611no—
1232#103C22×D6111yescharacteristic
1233#103C22×D6111yescharacteristic
1234#103C22×D6111yescharacteristic
1235#102—611no—
1236#102C22×D6111yescharacteristic
1237#102C22×D6111yescharacteristic
1238#102C22×D6111yescharacteristic
1239C22⋊C8—611no—
1240C22⋊C8—611no—
1241C22⋊C8—611no—
1242C22⋊C8—611no—
1243#97—611no—
1244#97—611no—
1245#97—611no—
1246#97—611no—
1247#97—611no—
1248#97—611no—
1249#97C22×D6111yescharacteristic
1250#97C22×D6111yescharacteristic
1251C4×C8—611no—
1252C4×C8—611no—
1253C4×C8—611no—
1254C4×C8C22×D6111yescharacteristic
1255#41—1222no—
1256#41—1222no—
1257C2×Q8—21no—
1258C2×Q8—21no—
1259C2×Q8—611no—
1260C2×Q8—611no—
1261C2×Q8—611no—
1262C2×Q8—611no—
1263C2×Q8—611no—
1264C2×Q8—611no—
1265C2×Q8—611no—
1266C2×Q8—1221no—
1267C2×Q8—1221no—
1268C2×Q8—1221no—
1269C2×Q8—1221no—
1270C2×Q8D4×D6111yescharacteristic
1271C2×Q8C23×D6111yescharacteristic
1272C2×D4—1221no—
1273C2×D4C23×D6111yescharacteristic
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—611no—
1278C22×C4—611no—
1279C22×C4—611no—
1280C22×C4—1221no—
1281C22×C4—1221no—
1282C22×C4—1221no—
1283C22×C4—1221no—
1284C22×C4—1221no—
1285C22×C4—1221no—
1286Q16—1222no—
1287Q16—1222no—
1288Q16—1222no—
1289Q16—1222no—
1290SD16—22no—
1291SD16—1222no—
1292SD16—1222no—
1293SD16—1222no—
1294C2×C8—611no—
1295C2×C8—611no—
1296C2×C8—611no—
1297C2×C8—611no—
1298C2×C8C23×D6111yescharacteristic
1299C2×C8C23×D6111yescharacteristic
1300C2×C8C23×D6111yescharacteristic
1301C2×C8C23×D6111yescharacteristic
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—611no—
1316C4⋊C4—611no—
1317C4⋊C4—611no—
1318C4⋊C4—611no—
1319C4⋊C4—611no—
1320C4⋊C4—611no—
1321C4⋊C4—611no—
1322C4⋊C4—611no—
1323C4⋊C4—611no—
1324C4⋊C4—611no—
1325C4⋊C4—611no—
1326C4⋊C4—611no—
1327C4⋊C4—611no—
1328C4⋊C4—611no—
1329C4⋊C4—611no—
1330C4⋊C4—611no—
1331C4⋊C4—611no—
1332C4⋊C4—1221no—
1333C4⋊C4—1221no—
1334C4⋊C4—1221no—
1335C4⋊C4—1221no—
1336C4⋊C4—1221no—
1337C4⋊C4—1221no—
1338C4⋊C4—1221no—
1339C4⋊C4—1221no—
1340C4⋊C4—1221no—
1341C4⋊C4—1221no—
1342C4⋊C4—1221no—
1343C4⋊C4—1221no—
1344C4⋊C4—1221no—
1345C4⋊C4—1221no—
1346C4⋊C4—1221no—
1347C4⋊C4—1221no—
1348C4⋊C4—1221no—
1349C4⋊C4—1221no—
1350C4⋊C4—1221no—
1351C4⋊C4—1221no—
1352C4⋊C4—1221no—
1353C4⋊C4—1221no—
1354C4⋊C4—1221no—
1355C4⋊C4—1221no—
1356C4⋊C4—1221no—
1357C4⋊C4—1221no—
1358C4⋊C4—1221no—
1359C4⋊C4—1221no—
1360C4⋊C4—1221no—
1361C4⋊C4—1221no—
1362C4⋊C4—1221no—
1363C4⋊C4—1221no—
1364C4⋊C4—1221no—
1365C4⋊C4—1221no—
1366C4⋊C4—1221no—
1367C4⋊C4—1221no—
1368C4⋊C4—1221no—
1369C4⋊C4—1221no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4D4×D6111yescharacteristic
1386C4⋊C4D4×D6111yescharacteristic
1387C4⋊C4D4×D6111yescharacteristic
1388C4⋊C4C23×D6111yescharacteristic
1389C4⋊C4C23×D6111yescharacteristic
1390C4⋊C4C23×D6111yescharacteristic
1391C4⋊C4C23×D6111yescharacteristic
1392C4⋊C4C23×D6111yescharacteristic
1393C4⋊C4C23×D6111yescharacteristic
1394C22⋊C4—21no—
1395C22⋊C4—21no—
1396C22⋊C4—21no—
1397C22⋊C4—611no—
1398C22⋊C4—611no—
1399C22⋊C4—611no—
1400C22⋊C4—611no—
1401C22⋊C4—1221no—
1402C22⋊C4—1221no—
1403C22⋊C4—1221no—
1404C22⋊C4—1221no—
1405C22⋊C4—1221no—
1406C22⋊C4—1221no—
1407C22⋊C4—1221no—
1408C22⋊C4—1221no—
1409C42—21no—
1410C42—21no—
1411C42—21no—
1412C42—611no—
1413C42—611no—
1414C42—611no—
1415C42—611no—
1416C42—611no—
1417C42—1221no—
1418C42—1221no—
1419C42—1221no—
1420C42—1221no—
1421C42—1221no—
1422C42—1221no—
1423C42—1221no—
1424C42—1221no—
1425C42—1221no—
1426C42—1221no—
1427C42—1221no—
1428C42—1221no—
1429C42—1221no—
1430C42—1221no—
1431C42—1221no—
1432C42—1221no—
1433C42C23×D6111yescharacteristic
1434C42C23×D6111yescharacteristic
1435C42C23×D6111yescharacteristic
1436C23—21no—
1437C23—611no—
1438Q8—21no—
1439Q8—21no—
1440Q8—41no—
1441Q8—42no—
1442Q8—81no—
1443Q8—612no—
1444Q8—1221no—
1445Q8—1221no—
1446Q8—1221no—
1447Q8—1221no—
1448Q8—1221no—
1449Q8—1221no—
1450Q8—1221no—
1451Q8—4881no—
1452Q8—4881no—
1453Q8—4881no—
1454Q8—2441no—
1455Q8—2441no—
1456Q8—2441no—
1457Q8—2442no—
1458D4—21no—
1459D4—1224no—
1460D4#1451982512yes—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—81no—
1469C2×C4—81no—
1470C2×C4—81no—
1471C2×C4—611no—
1472C2×C4—611no—
1473C2×C4—611no—
1474C2×C4—611no—
1475C2×C4—611no—
1476C2×C4—611no—
1477C2×C4—611no—
1478C2×C4—1224no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—4881no—
1490C2×C4—4881no—
1491C2×C4—4881no—
1492C2×C4—4881no—
1493C2×C4—4881no—
1494C2×C4—2441no—
1495C2×C4—2441no—
1496C2×C4C2×D4×D6111yescharacteristic
1497C2×C4C2×D4×D6111yescharacteristic
1498C2×C4C2×D4×D6111yescharacteristic
1499C2×C4C2×D4×D6111yescharacteristic
1500C2×C4C2×D4×D6111yescharacteristic
1501C2×C4C2×D4×D6111yescharacteristic
1502C2×C4C24×D6111yescharacteristic
1503C8—21no—
1504C8—21no—
1505C8—21no—
1506C8—21no—
1507C8—1221no—
1508C8—1221no—
1509C8—1221no—
1510C8—1221no—
1511C22—22no—
1512C22—41no—
1513C22—41no—
1514C22—1221no—
1515C22—1221no—
1516C22—1221no—
1517C22C22×D4×D6111yescharacteristic
1518C4—21no—
1519C4—21no—
1520C4—21no—
1521C4—21no—
1522C4—21no—
1523C4—21no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—1221no—
1532C4—1222no—
1533C4—1221no—
1534C4—1221no—
1535C4—1221no—
1536C4—1221no—
1537C4—1221no—
1538C4—1221no—
1539C4—2441no—
1540C4—2441no—
1541C4—2441no—
1542C4—2441no—
1543C4—2441no—
1544C4—2441no—
1545C4—2441no—
1546C42−1+4×D6111yescharacteristic
1547C4C2×#1451982511yescharacteristic
1548C2—42no—
1549C2—2441no—
1550C2#2145946911yescharacteristic
1551C2#2146060111yescharacteristic
1552C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3388C2
socleC22×C61C23×D4
prime radicalC2×#11758224C23
hypercenter#3388D61
hypocenterC61#61877
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #21460311C2semidirect
3. #21458789C2semidirect
4. #21458783C2semidirect
5. #21458783C2semidirect
6. #21458782C2semidirect
7. #21458768C2semidirect
8. #21458761C2semidirect
9. #21458757C2semidirect
10. #21458625C2semidirect
11. #21458625C2semidirect
12. #21458624C2semidirect
13. #21458621C2semidirect
14. #21458601C2semidirect
15. #21458601C2semidirect
16. #21458600C2semidirect
17. #21458598C2semidirect
18. #21457094C2semidirect
19. #21457090C2semidirect
20. #21457088C2semidirect
21. #21457084C2semidirect
22. #21457026C2semidirect
23. #21457023C2semidirect
30. #21454922C2semidirect
31. C61×#3388C2semidirect
781. #3388D61semidirect
979. C61#61877semidirect

Maximal subgroups

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

subgroupindex
#214603112
#214596392
#214587892
#214587832
#214587822
#214587682
#214587612
#214587572
#214586252
#214586242
#214586212
#214586012
#214586002
#214585982
#214570942
#214570902
#214570882
#214570842
#214570262
#214570232
#214560382
#214560372
#214560292
#214559832
#214559772
#214549222
C61×#33882
#6187761