Finite Group Databasebeta

← #30558413

Subgroups — #30558413

Order 15616.

2020 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459737C211yesmaximal, characteristic, complemented
2#21459598C211yesmaximal, characteristic, complemented
3#21457997C211yesmaximal, characteristic, complemented
4#21457996C211yesmaximal, characteristic, complemented
5#21457985C211yesmaximal, characteristic, complemented
6#21457984C211yesmaximal, characteristic, complemented
7#21457916C211yesmaximal, characteristic, complemented
8#21457915C211yesmaximal, characteristic, complemented
9#21457912C211yesmaximal, characteristic, complemented
10#21457911C211yesmaximal, characteristic, complemented
11#21457873C211yesmaximal, characteristic, complemented
12#21457872C211yesmaximal, characteristic, complemented
13#21457869C211yesmaximal, characteristic, complemented
14#21457868C211yesmaximal, characteristic, complemented
15#21457800C211yesmaximal, characteristic, complemented
16#21457799C211yesmaximal, characteristic, complemented
17#21457788C211yesmaximal, characteristic, complemented
18#491×D61C211yesmaximal, characteristic, complemented
19#21455785C211yesmaximal, characteristic, complemented
20#21455781C211yesmaximal, characteristic, complemented
21#21455636C211yesmaximal, characteristic, complemented
22#21455505C211yesmaximal, characteristic, complemented
23#21455503C211yesmaximal, characteristic, complemented
24#21455301C211yesmaximal, characteristic, complemented
25#21455132C211yesmaximal, characteristic, complemented
26#21455132C211yesmaximal, characteristic, complemented
27#21454616C211yesmaximal, characteristic, complemented
28#21454533C211yesmaximal, characteristic, complemented
29#21454350C211yesmaximal, characteristic, complemented
30#21454348C211yesmaximal, characteristic, complemented
31C61×#3307C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic
33C2×#14519824C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519806C2211yescharacteristic
36C2×#14519796C2211yescharacteristic
37C2×#14519785C2211yescharacteristic
38C2×#14519783C2211yescharacteristic
39#16840464C2211yescharacteristic
40#16840463—21no—
41#16840462—21no—
42#16840462C2211yescharacteristic
43#16840459—21no—
44#16840459C2211yescharacteristic
45#16840457—21no—
46#16840452C2211yescharacteristic
47#16840451C2211yescharacteristic
48#16840450C2211yescharacteristic
49#16840447C2211yescharacteristic
50D4×Dic122C2211yescharacteristic
51#16840427C2211yescharacteristic
52#16840425C2211yescharacteristic
53#16840425C2211yescharacteristic
54#16840416C2211yescharacteristic
55#16840413—21no—
56#16840412—21no—
57#16840411C2211yescharacteristic
58#16840411C2211yescharacteristic
59#16840410—21no—
60#16840410—21no—
61#16840369—21no—
62#16840362—21no—
63#16840341C2211yescharacteristic
64#16840341C2211yescharacteristic
65#16840335C2211yescharacteristic
66#16840335C2211yescharacteristic
67#16840334—21no—
68#16840334—21no—
69#16840309C2211yescharacteristic
70#16840307—21no—
71C2×#14519776—21no—
72C4⋊Q8×D61C2211yescharacteristic
73#16840292—21no—
74#16840289—21no—
75#125×D61C2211yescharacteristic
76#16840243C2211yescharacteristic
77#16840242C2211yescharacteristic
78C4×#11758224C2211yescharacteristic
79C4×#11758224C2211yescharacteristic
80#16840132C2211yescharacteristic
81#16840131C2211yescharacteristic
82#16840130C2211yescharacteristic
83#16840129C2211yescharacteristic
84#16840129C2211yescharacteristic
85#16840129C2211yescharacteristic
86#16840129C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840106C2211yescharacteristic
89#16840104C2211yescharacteristic
90#16840103C2211yescharacteristic
91#16840101C2211yescharacteristic
92#16840101C2211yescharacteristic
93#16840100C2211yescharacteristic
94#16840099C2211yescharacteristic
95#16840097C2211yescharacteristic
96#16840096C2211yescharacteristic
97#16840095C2211yescharacteristic
98#16840094C2211yescharacteristic
99#16840093C2211yescharacteristic
100#16840091C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840070C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840066C2211yescharacteristic
105#16840064C2211yescharacteristic
106#16840062C2211yescharacteristic
107#16840060C2211yescharacteristic
108#16840021C2211yescharacteristic
109#16840020C2211yescharacteristic
110#16840019C2211yescharacteristic
111#16840018C2211yescharacteristic
112#16840007C2211yescharacteristic
113#16840006C2211yescharacteristic
114#16840005C2211yescharacteristic
115#16840004C2211yescharacteristic
116#16840003C2211yescharacteristic
117#16840002C2211yescharacteristic
118#16840001C2211yescharacteristic
119#16839990C2211yescharacteristic
120#16839989C2211yescharacteristic
121#16839988C2211yescharacteristic
122#16839973C2211yescharacteristic
123#16839971C2211yescharacteristic
124#16839971C2211yescharacteristic
125#16839969C2211yescharacteristic
126#16839967C2211yescharacteristic
127#16839965C2211yescharacteristic
128#16839965C2211yescharacteristic
129#16839925C2211yescharacteristic
130#16839925C2211yescharacteristic
131#16839924C2211yescharacteristic
132#16839924C2211yescharacteristic
133#16839920C2211yescharacteristic
134#16839920C2211yescharacteristic
135#16839919C2211yescharacteristic
136#16839919C2211yescharacteristic
137#16839904C2211yescharacteristic
138#16839904C2211yescharacteristic
139#16839900C2211yescharacteristic
140#16839900C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839899C2211yescharacteristic
143#16839874C2211yescharacteristic
144#16839870C2211yescharacteristic
145#16839868C2211yescharacteristic
146#16839862C2211yescharacteristic
147#16839862C2211yescharacteristic
148#16839859C2211yescharacteristic
149#16839859C2211yescharacteristic
150#16839836C2211yescharacteristic
151#16839835C2211yescharacteristic
152#16839834C2211yescharacteristic
153#16839833C2211yescharacteristic
154#16839832C2211yescharacteristic
155#16839831C2211yescharacteristic
156#16839830C2211yescharacteristic
157#16839803C2211yescharacteristic
158#16839801C2211yescharacteristic
159#16839797C2211yescharacteristic
160#16839784C2211yescharacteristic
161#16839772C2211yescharacteristic
162#16839770C2211yescharacteristic
163#16839769C2211yescharacteristic
164#16839769C2211yescharacteristic
165#16839769C2211yescharacteristic
166#16839769C2211yescharacteristic
167#16839763C2211yescharacteristic
168#16839760C2211yescharacteristic
169#16839760C2211yescharacteristic
170#16839760C2211yescharacteristic
171#16839760C2211yescharacteristic
172#16839758C2211yescharacteristic
173#16839755C2211yescharacteristic
174#16839755C2211yescharacteristic
175#16839755C2211yescharacteristic
176#16839755C2211yescharacteristic
177C2×#14519702C2211yescharacteristic
178C2×#14519700C2211yescharacteristic
179#103×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#103×D61C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839727C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#491C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#483C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#461C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#449C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic
203#14519824—24no—
204#14519824—24no—
205#14519824—42no—
206#14519824—42no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758222C2311yescharacteristic
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224—21no—
215C2×#11758224C2311yescharacteristic
216C2×#11758224C2311yescharacteristic
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C22×Dic122—21no—
220C22×Dic122—21no—
221C22×Dic122C2311yescharacteristic
222C22×Dic122C2311yescharacteristic
223C2×Q8×D61C2311yescharacteristic
224C2×Q8×D61C2311yescharacteristic
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227#14519806—42no—
228#14519806—42no—
229#14519796—24no—
230C2×Dic244C2311yescharacteristic
231C2×Dic244C2311yescharacteristic
232C2×Dic244C2311yescharacteristic
233C2×#11758202C2311yescharacteristic
234C2×#11758202C2311yescharacteristic
235C2×#11758200C2311yescharacteristic
236C2×#11758200C2311yescharacteristic
237C2×#11758200C2311yescharacteristic
238C2×#11758200C2311yescharacteristic
239#14519785—42no—
240#14519783—42no—
241C2×#11758194C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C22×#92418C2311yescharacteristic
247C2×C8×D61C2311yescharacteristic
248C2×C8×D61C2311yescharacteristic
249C2×C8×D61C2311yescharacteristic
250C2×C8×D61C2311yescharacteristic
251#14519777C2311yescharacteristic
252#14519776—21no—
253#14519776—21no—
254#14519776—21no—
255#14519776—21no—
256#14519776—21no—
257#14519776—21no—
258#14519776—21no—
259#14519776—21no—
260#14519776D411yescharacteristic
261#14519775C2311yescharacteristic
262#14519775C2311yescharacteristic
263#14519773D411yescharacteristic
264#14519772—21no—
265#14519772—21no—
266#14519770—21no—
267#14519770—21no—
268#14519770—21no—
269#14519770—21no—
270#14519770—21no—
271#14519769—21no—
272#14519769C2311yescharacteristic
273#14519768—21no—
274#14519768C2311yescharacteristic
275#14519768C2311yescharacteristic
276#14519767—21no—
277#14519767—21no—
278#14519767—21no—
279#14519767—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763D411yescharacteristic
283#14519763D411yescharacteristic
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519761—21no—
288#14519761—21no—
289#14519761—21no—
290#14519760—21no—
291#14519760—21no—
292#14519760—21no—
293#14519760—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519758—21no—
298#14519758—21no—
299#14519758—21no—
300#14519758—21no—
301#14519757C2311yescharacteristic
302#14519757C2311yescharacteristic
303#14519757C2311yescharacteristic
304#14519757C2311yescharacteristic
305#14519756C2311yescharacteristic
306#14519756C2311yescharacteristic
307#14519756C2311yescharacteristic
308#14519756C2311yescharacteristic
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519754—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519754—21no—
318#14519754—21no—
319#14519753C2311yescharacteristic
320#14519753C2311yescharacteristic
321#14519752D411yescharacteristic
322#14519751—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750D411yescharacteristic
327#14519750D411yescharacteristic
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519748—21no—
334#14519748—21no—
335#14519748—21no—
336#14519748D411yescharacteristic
337#14519748C2311yescharacteristic
338#14519748C2311yescharacteristic
339C4×Dic122—21no—
340C4×Dic122C2311yescharacteristic
341C4×Dic122C2311yescharacteristic
342#14519742—21no—
343#14519742C2311yescharacteristic
344#14519742C2311yescharacteristic
345C4×D244—21no—
346C4×D244C2311yescharacteristic
347D4×Dic61—21no—
348D4×Dic61—21no—
349D4×Dic61C2311yescharacteristic
350D4×Dic61C2311yescharacteristic
351#14519739—21no—
352#14519739—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#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519736—21no—
368#14519736C2311yescharacteristic
369#14519735—21no—
370#14519735C2311yescharacteristic
371#14519735C2311yescharacteristic
372#14519735C2311yescharacteristic
373#14519735C2311yescharacteristic
374#14519734—21no—
375#14519733—21no—
376#14519733—21no—
377#14519733—21no—
378C2×C4⋊Dic61—21no—
379C2×C4⋊Dic61C2311yescharacteristic
380C2×#11758196—21no—
381C2×#11758196—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C4⋊C4×D61C2311yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C2×C4×Dic61—21no—
391C2×C4×Dic61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519700C2311yescharacteristic
428#14519700C2311yescharacteristic
429#14519700C2311yescharacteristic
430#14519700C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519698C2311yescharacteristic
434#14519698C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452#126×C61—21no—
453#125×C61C2311yescharacteristic
454#123×C61—21no—
455#123×C61—21no—
456#123×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458C22⋊Q8×C61C2311yescharacteristic
459#121×C61—21no—
460#121×C61—21no—
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468C2×C4⋊C4×C61—21no—
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487#41×C61—22no—
488#41×C61—22no—
489#41×C61—41no—
490#41×C61—41no—
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61C2×D411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61C2411yescharacteristic
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61C2×D411yescharacteristic
514C2×C22⋊D61C2×D411yescharacteristic
515C2×C22⋊D61C2×D411yescharacteristic
516C2×C22⋊D61C2×D411yescharacteristic
517C2×C22⋊D61C2×D411yescharacteristic
518C2×C22⋊D61C2×D411yescharacteristic
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528Q8×D61—22no—
529Q8×D61—22no—
530Q8×D61—22no—
531Q8×D61—22no—
532Q8×D61—22no—
533Q8×D61—22no—
534Q8×D61—41no—
535Q8×D61—41no—
536#11758224—22no—
537#11758224—22no—
538#11758224—22no—
539#11758224—22no—
540#11758224—22no—
541#11758224—41no—
542#11758224—41no—
543#11758224—44no—
544#11758224—44no—
545#11758224—44no—
546#11758224—44no—
547#11758224#4114yes—
548#11758222—22no—
549#11758222—22no—
550#11758222—22no—
551#11758222—22no—
552#11758222—44no—
553#11758222—44no—
554C2×D244C2×D411yescharacteristic
555C2×D244C2×D411yescharacteristic
556C2×D244C2×D411yescharacteristic
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61C2×D411yescharacteristic
566C2×C4×D61C2×D411yescharacteristic
567C2×C4×D61C2411yescharacteristic
568C2×C4×D61C2411yescharacteristic
569C2×C4×D61C2411yescharacteristic
570C2×Dic122—22no—
571C2×Dic122—22no—
572C2×Dic122—21no—
573C2×Dic122—21no—
574C2×Dic122—21no—
575C2×Dic122—21no—
576C2×Dic122—21no—
577C2×Dic122—21no—
578C2×Dic122—41no—
579C2×Dic122—41no—
580C2×Dic122—44no—
581C2×Dic122—44no—
582C2×Dic122C2×D411yescharacteristic
583C2×Dic122C2×D411yescharacteristic
584C2×Dic122C2411yescharacteristic
585C2×Dic122C2411yescharacteristic
586C2×Dic122C2411yescharacteristic
587C2×Dic122C2411yescharacteristic
588SD16×C61—41no—
589SD16×C61—41no—
590D8×C61—22no—
591M16×C61—41no—
592C2×C8×C61—41no—
593C2×C8×C61C2411yescharacteristic
594C2×C8×C61C2411yescharacteristic
595C2×C8×C61C2411yescharacteristic
596C2×C8×C61C2411yescharacteristic
597C4⋊C4×C61—21no—
598C4⋊C4×C61—21no—
599C4⋊C4×C61—21no—
600C4⋊C4×C61—21no—
601C4⋊C4×C61—21no—
602C4⋊C4×C61—21no—
603C4⋊C4×C61—21no—
604C4⋊C4×C61C2×D411yescharacteristic
605C4⋊C4×C61C2411yescharacteristic
606C4⋊C4×C61C2411yescharacteristic
607C4⋊C4×C61C2411yescharacteristic
608C4⋊C4×C61C2411yescharacteristic
609C22⋊C4×C61—21no—
610C22⋊C4×C61—21no—
611C22⋊C4×C61—21no—
612C22⋊C4×C61—21no—
613C22⋊C4×C61—21no—
614C22⋊C4×C61—21no—
615C22⋊C4×C61—21no—
616C22⋊C4×C61C2×D411yescharacteristic
617C22⋊C4×C61C2×D411yescharacteristic
618C42×C61—21no—
619C42×C61C2411yescharacteristic
620C22⋊Dic61—21no—
621C22⋊Dic61—21no—
622C22⋊Dic61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61—21no—
626C22⋊Dic61—21no—
627C22⋊Dic61—21no—
628C22⋊Dic61—21no—
629C22⋊Dic61C2×D411yescharacteristic
630C22⋊Dic61C2×D411yescharacteristic
631#11758202—41no—
632#11758202—41no—
633#11758200—22no—
634#11758200—22no—
635#11758200—41no—
636#11758200—41no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61—21no—
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196C2×D411yescharacteristic
688#11758196C2×D411yescharacteristic
689C4×Dic61—21no—
690C4×Dic61—21no—
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61C2×D411yescharacteristic
699C4×Dic61C2×D411yescharacteristic
700C4×Dic61C2411yescharacteristic
701#11758194—41no—
702C2×#92418—41no—
703C2×#92418C2411yescharacteristic
704C2×#92418C2411yescharacteristic
705C2×#92418C2411yescharacteristic
706C2×#92418C2411yescharacteristic
707Dic244—22no—
708Dic244—41no—
709Dic244—41no—
710#11758189—22no—
711#11758189—22no—
712#11758189—41no—
713#11758189—41no—
714C8×D61—22no—
715C8×D61—22no—
716C8×D61—41no—
717C8×D61—41no—
718C23×C61—21no—
719C23×C61—21no—
720C23×C61C22×D411yescharacteristic
721C23×C61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723C22×D61C22×D411yescharacteristic
724C22×D61C22×D411yescharacteristic
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—41no—
733D4×C61—42no—
734D4×C61—42no—
735D4×C61—81no—
736D4×C61—81no—
737D4×C61C2×#4112yes—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—42no—
749C2×C4×C61—42no—
750C2×C4×C61—42no—
751C2×C4×C61—81no—
752C2×C4×C61—81no—
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C2511yescharacteristic
758C22⋊D61—22no—
759C22⋊D61—22no—
760C22⋊D61—24no—
761C22⋊D61—22no—
762C22⋊D61—22no—
763C22⋊D61—41no—
764C22⋊D61—41no—
765C22⋊D61—42no—
766C22⋊D61—42no—
767C22⋊D61—42no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C2×Dic61—21no—
771C2×Dic61—24no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—42no—
780C2×Dic61—42no—
781C2×Dic61—42no—
782C2×Dic61—42no—
783C2×Dic61—42no—
784C2×Dic61—42no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792D244—22no—
793D244—22no—
794D244—41no—
795C4×D61—21no—
796C4×D61—21no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—41no—
800C4×D61—41no—
801C4×D61—42no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61C2×#4112yes—
810C4×D61H(5,𝔽2)12yes—
811Dic122—21no—
812Dic122—22no—
813Dic122—22no—
814Dic122—21no—
815Dic122—21no—
816Dic122—21no—
817Dic122—21no—
818Dic122—21no—
819Dic122—21no—
820Dic122—42no—
821Dic122—42no—
822Dic122—42no—
823Dic122—42no—
824Dic122—42no—
825Dic122—42no—
826Dic122C2×#4112yes—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835#61224—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—22no—
841C22×C61—21no—
842C22×C61—21no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61C23×D411yescharacteristic
849C2×D61—21no—
850C2×D61—21no—
851C2×D61—21no—
852C2×D61—21no—
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—21no—
856C2×D61—21no—
857C2×D61#54612yes—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61C22×#4111yescharacteristic
869C4×C61C2×H(5,𝔽2)11yescharacteristic
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—22no—
875Dic61—41no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61#54612yes—
883#3512—611no—
884#3499—611no—
885#3320—611no—
886#3320—611no—
887#3320—611no—
888#3320—611no—
889#3315—611no—
890#3315—611no—
891#3315—611no—
892#3315—611no—
893#3312—611no—
894#3312—611no—
895#3312—611no—
896#3312—611no—
897#3307—611no—
898#3307—611no—
899#3307—611no—
900#3307D6111yescharacteristic, complemented
901C2×#491—611no—
902#3097—611no—
903#3097—611no—
904#3080—611no—
905#3063—611no—
906#3063—611no—
907#3039—611no—
908#3013—611no—
909#3013—611no—
910#2943—611no—
911#2932—611no—
912#2898—611no—
913#2898—611no—
914C2×C61—41no—
915C2×C61—41no—
916C2×C61—42no—
917C2×C61—81no—
918C2×C61C2×#54611yescharacteristic
919C2×C61#358611yescharacteristic
920C2×C61#358611yescharacteristic
921D61—22no—
922D61—41no—
923D61—41no—
924C2×2−1+4—611no—
925C2×2−1+4—611no—
926C2×#137—611no—
927C2×#137—611no—
928C2×#135—611no—
929C2×#131—611no—
930C2×#131—611no—
931#553—611no—
932#553—611no—
933#553—611no—
934#553—1221no—
935#553—1221no—
936#553—1221no—
937#553—1221no—
938#553C2×D6111yescharacteristic
939#552—611no—
940#552—611no—
941#552—611no—
942#552—611no—
943D4×Q8—611no—
944D4×Q8—611no—
945D4×Q8—611no—
946D4×Q8—611no—
947#547—611no—
948#547—611no—
949#547—611no—
950#547—1221no—
951#547—1221no—
952#547—1221no—
953#547—1221no—
954#547C2×D6111yescharacteristic
955#541—1221no—
956#540—1221no—
957#537—611no—
958#537—611no—
959#536—611no—
960#536—611no—
961#536—1221no—
962#536—1221no—
963#532—611no—
964#532—1221no—
965C2×C4⋊Q8—611no—
966C2×C4⋊Q8—1221no—
967#529—1221no—
968#529—1221no—
969C2×#125—611no—
970#520—611no—
971#520—611no—
972C4×#41—611no—
973C4×#41—611no—
974#491—611no—
975#491—611no—
976#491—611no—
977#491—611no—
978#491—611no—
979#491—611no—
980#491—611no—
981#491C2×D6111yescharacteristic
982#485—611no—
983#485—611no—
984#485—611no—
985#485—611no—
986#485—611no—
987#485—611no—
988#485—611no—
989#485C2×D6111yescharacteristic
990#484—611no—
991#484—611no—
992#484—611no—
993#484—611no—
994#483—611no—
995#483—611no—
996#483—611no—
997#483C2×D6111yescharacteristic
998#479—611no—
999#479—611no—
1000#479—611no—
1001#479—611no—
1002#478—611no—
1003#478—611no—
1004#478—611no—
1005#478C2×D6111yescharacteristic
1006#470—611no—
1007#470—611no—
1008#470—611no—
1009#470—611no—
1010#468—611no—
1011#468—611no—
1012#468—611no—
1013#468C2×D6111yescharacteristic
1014#467—611no—
1015#467—611no—
1016#467—611no—
1017#467—611no—
1018#465—611no—
1019#465—611no—
1020#465—611no—
1021#465C2×D6111yescharacteristic
1022#462—611no—
1023#462—611no—
1024#462—611no—
1025#462—611no—
1026#461—611no—
1027#461—611no—
1028#461—611no—
1029#461C2×D6111yescharacteristic
1030#452—611no—
1031#452—611no—
1032#452—611no—
1033#452—611no—
1034#451—611no—
1035#451—611no—
1036#451—611no—
1037#451—611no—
1038#449—611no—
1039#449—611no—
1040#449C2×D6111yescharacteristic
1041#449C2×D6111yescharacteristic
1042#448—611no—
1043#448—611no—
1044#448—611no—
1045#448—611no—
1046#442—611no—
1047#442C2×D6111yescharacteristic
1048#441—611no—
1049#441—611no—
1050#440—611no—
1051#440—611no—
1052#440—611no—
1053#440—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058#435—611no—
1059#435—611no—
1060#435—611no—
1061#435C2×D6111yescharacteristic
1062#428—611no—
1063#428—611no—
1064#427—611no—
1065#423—611no—
1066#419—611no—
1067#419—611no—
1068#419—611no—
1069#419—611no—
1070#419—611no—
1071#419—611no—
1072#417—611no—
1073#417—611no—
1074#417—611no—
1075#417—611no—
1076#417—611no—
1077#417C2×D6111yescharacteristic
1078#416—611no—
1079#416—611no—
1080#416—611no—
1081#416—611no—
1082#416—611no—
1083#416C2×D6111yescharacteristic
1084C2×#103—611no—
1085C2×#103—611no—
1086C2×#103—611no—
1087C2×#103—611no—
1088C2×#103—611no—
1089C2×#103—611no—
1090C2×#103—611no—
1091C2×#103—611no—
1092#408—611no—
1093#408—611no—
1094C2×#97—611no—
1095C61#6122411yescharacteristic, complemented, Sylow
10962−1+4—1224no—
10972−1+4—1224no—
10982−1+4—2442no—
10992−1+4—2442no—
1100C2×#41—611no—
1101C2×#41—611no—
1102C2×#41—611no—
1103C2×#41—611no—
1104C2×#41—611no—
1105C2×#41—611no—
1106C2×#41—1221no—
1107C2×#41—1221no—
1108C2×#41—1221no—
1109C2×#41—1221no—
1110C2×#41—1221no—
1111C2×#41—1221no—
1112C2×#41C22×D6111yescharacteristic
1113C2×#41C22×D6111yescharacteristic
1114C22×Q8—611no—
1115C22×Q8—611no—
1116C22×Q8—611no—
1117C22×Q8—611no—
1118C22×Q8—611no—
1119C22×Q8—611no—
1120C22×Q8—1221no—
1121C22×Q8—1221no—
1122#137—2442no—
1123#137—2442no—
1124#135—1224no—
1125C2×Q16—611no—
1126C2×Q16—611no—
1127C2×Q16—611no—
1128C2×Q16—611no—
1129C2×Q16—611no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16—611no—
1134C2×SD16C22×D6111yescharacteristic
1135C2×SD16C22×D6111yescharacteristic
1136C2×D8C22×D6111yescharacteristic
1137#131—2442no—
1138#131—2442no—
1139C2×M16—611no—
1140C2×M16—611no—
1141C2×M16—611no—
1142C2×M16—611no—
1143C2×M16—611no—
1144C2×M16C22×D6111yescharacteristic
1145C22×C8—611no—
1146C22×C8—611no—
1147C22×C8—611no—
1148C22×C8—611no—
1149C22×C8—611no—
1150C22×C8C22×D6111yescharacteristic
1151C4⋊Q8—611no—
1152C4⋊Q8—611no—
1153C4⋊Q8—611no—
1154C4⋊Q8—611no—
1155C4⋊Q8—1221no—
1156C4⋊Q8—1221no—
1157C4⋊Q8—1221no—
1158C4⋊Q8—1221no—
1159C4⋊Q8—1221no—
1160C4⋊Q8—1221no—
1161C4⋊Q8—1221no—
1162C4⋊Q8—1221no—
1163C4⋊Q8C22×D6111yescharacteristic
1164#127—611no—
1165#126—21no—
1166#126—1221no—
1167#126—1221no—
1168#126—1221no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#125—611no—
1174#125—611no—
1175#125—611no—
1176#125—1221no—
1177#125—1221no—
1178#125—1221no—
1179#125—1221no—
1180#125—1221no—
1181#125—1221no—
1182#125C22×D6111yescharacteristic
1183#124—611no—
1184#124—611no—
1185#124—1221no—
1186#124—1221no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—611no—
1215C22⋊Q8—611no—
1216C22⋊Q8—611no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8C22×D6111yescharacteristic
1228C22⋊Q8C22×D6111yescharacteristic
1229#121—21no—
1230#121—21no—
1231#121—611no—
1232#121—611no—
1233#121—611no—
1234#121—611no—
1235#121—611no—
1236#121—611no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121C22×D6111yescharacteristic
1250#121C22×D6111yescharacteristic
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—1221no—
1256C4×Q8—1221no—
1257C4×D4—21no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—611no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272C4×D4—1221no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4C22×D6111yescharacteristic
1281C4×D4C22×D6111yescharacteristic
1282C4×D4C22×D6111yescharacteristic
1283#117—611no—
1284#117—611no—
1285#117—611no—
1286#117—611no—
1287#117—611no—
1288#117—1221no—
1289#117—1221no—
1290#117—1221no—
1291#117—1221no—
1292#117—1221no—
1293#117—1221no—
1294#117C22×D6111yescharacteristic
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—611no—
1297C2×C4⋊C4—611no—
1298C2×C4⋊C4—611no—
1299C2×C4⋊C4—611no—
1300C2×C4⋊C4—611no—
1301C2×C4⋊C4—1221no—
1302C2×C4⋊C4—1221no—
1303C2×C4⋊C4—1221no—
1304C2×C4⋊C4—1221no—
1305C2×C4⋊C4—1221no—
1306C2×C4⋊C4—1221no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4C22×D6111yescharacteristic
1309C2×C42—611no—
1310C2×C42—1221no—
1311C2×C42—1221no—
1312#107—611no—
1313#107—611no—
1314#107—611no—
1315#107—611no—
1316#107—611no—
1317#107C22×D6111yescharacteristic
1318#106—611no—
1319#106—611no—
1320#106—611no—
1321#106—611no—
1322#106C22×D6111yescharacteristic
1323#106C22×D6111yescharacteristic
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8C22×D6111yescharacteristic
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103C22×D6111yescharacteristic
1355#103C22×D6111yescharacteristic
1356#103C22×D6111yescharacteristic
1357#103C22×D6111yescharacteristic
1358#103C22×D6111yescharacteristic
1359#103C22×D6111yescharacteristic
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102C22×D6111yescharacteristic
1365#102C22×D6111yescharacteristic
1366#102C22×D6111yescharacteristic
1367#102C22×D6111yescharacteristic
1368C22⋊C8—611no—
1369C22⋊C8—611no—
1370C22⋊C8—611no—
1371C22⋊C8—611no—
1372C22⋊C8—611no—
1373C22⋊C8—611no—
1374C22⋊C8C22×D6111yescharacteristic
1375C22⋊C8C22×D6111yescharacteristic
1376#97—611no—
1377#97—611no—
1378#97—611no—
1379#97C22×D6111yescharacteristic
1380#41—22no—
1381#41—22no—
1382#41—41no—
1383#41—41no—
1384#41—614no—
1385#41—1222no—
1386#41—1222no—
1387#41—1222no—
1388#41—1222no—
1389#41—1222no—
1390#41—1222no—
1391#41—1222no—
1392#41—1222no—
1393#41—1222no—
1394#41—2444no—
1395#41—2444no—
1396#41—2441no—
1397#41—2441no—
1398#41—2444no—
1399#41—2444no—
1400#41—2444no—
1401#41—2444no—
1402C2×Q8—611no—
1403C2×Q8—611no—
1404C2×Q8—611no—
1405C2×Q8—611no—
1406C2×Q8—611no—
1407C2×Q8—611no—
1408C2×Q8—1221no—
1409C2×Q8—1221no—
1410C2×Q8—1221no—
1411C2×Q8—1221no—
1412C2×Q8—1222no—
1413C2×Q8—1222no—
1414C2×Q8—1222no—
1415C2×Q8—1222no—
1416C2×Q8—1222no—
1417C2×Q8—1222no—
1418C2×Q8—1221no—
1419C2×Q8—1221no—
1420C2×Q8—1222no—
1421C2×Q8—1222no—
1422C2×Q8—2441no—
1423C2×Q8—2441no—
1424C2×Q8—2444no—
1425C2×Q8—2444no—
1426C2×Q8—2441no—
1427C2×Q8—2441no—
1428C2×Q8C23×D6111yescharacteristic
1429C2×Q8C23×D6111yescharacteristic
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—611no—
1435C2×D4—611no—
1436C2×D4—611no—
1437C2×D4—611no—
1438C2×D4—611no—
1439C2×D4—611no—
1440C2×D4—611no—
1441C2×D4—611no—
1442C2×D4—611no—
1443C2×D4—1221no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—1221no—
1449C2×D4D4×D6111yescharacteristic
1450C2×D4C23×D6111yescharacteristic
1451C2×D4C23×D6111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
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×C4C23×D6111yescharacteristic
1480C22×C4C23×D6111yescharacteristic
1481Q16—1222no—
1482Q16—2441no—
1483Q16—2441no—
1484Q16—2441no—
1485Q16—2441no—
1486SD16—41no—
1487SD16—41no—
1488SD16—1222no—
1489SD16—1222no—
1490SD16—2441no—
1491SD16—2441no—
1492D8—22no—
1493M16—41no—
1494M16—1222no—
1495M16—1222no—
1496M16—2441no—
1497M16—2441no—
1498M16—2441no—
1499C2×C8—41no—
1500C2×C8—611no—
1501C2×C8—611no—
1502C2×C8—611no—
1503C2×C8—611no—
1504C2×C8—1222no—
1505C2×C8—1222no—
1506C2×C8—2441no—
1507C2×C8—2441no—
1508C2×C8—2441no—
1509C2×C8C23×D6111yescharacteristic
1510C2×C8C23×D6111yescharacteristic
1511C2×C8C23×D6111yescharacteristic
1512C2×C8C23×D6111yescharacteristic
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4—1221no—
1549C4⋊C4—1221no—
1550C4⋊C4—1221no—
1551C4⋊C4—1221no—
1552C4⋊C4—1221no—
1553C4⋊C4—1221no—
1554C4⋊C4—1221no—
1555C4⋊C4—1221no—
1556C4⋊C4—1221no—
1557C4⋊C4—1221no—
1558C4⋊C4D4×D6111yescharacteristic
1559C4⋊C4C23×D6111yescharacteristic
1560C4⋊C4C23×D6111yescharacteristic
1561C4⋊C4C23×D6111yescharacteristic
1562C4⋊C4C23×D6111yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—611no—
1571C22⋊C4—611no—
1572C22⋊C4—611no—
1573C22⋊C4—611no—
1574C22⋊C4—611no—
1575C22⋊C4—611no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4D4×D6111yescharacteristic
1596C22⋊C4D4×D6111yescharacteristic
1597C42—21no—
1598C42—611no—
1599C42—611no—
1600C42—611no—
1601C42—1221no—
1602C42—1221no—
1603C42—1221no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42—1221no—
1609C42—1221no—
1610C42C23×D6111yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—611no—
1614C23—611no—
1615C23—611no—
1616C23C2×D4×D6111yescharacteristic
1617C23C2×D4×D6111yescharacteristic
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—612no—
1623Q8—1222no—
1624Q8—1222no—
1625Q8—1221no—
1626Q8—1221no—
1627Q8—1221no—
1628Q8—1221no—
1629Q8—1221no—
1630Q8—1221no—
1631Q8—1221no—
1632Q8—2442no—
1633Q8—2442no—
1634Q8—2442no—
1635Q8—2442no—
1636Q8—2442no—
1637Q8—2442no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—41no—
1642D4—42no—
1643D4—42no—
1644D4—81no—
1645D4—81no—
1646D4—1222no—
1647D4—1222no—
1648D4—1222no—
1649D4—1222no—
1650D4—1222no—
1651D4—1222no—
1652D4—1224no—
1653D4—4881no—
1654D4—4881no—
1655D4—2441no—
1656D4—2441no—
1657D4—2441no—
1658D4—2442no—
1659D4—2442no—
1660D4—2442no—
1661D4#41×D6112yes—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—42no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—611no—
1678C2×C4—612no—
1679C2×C4—612no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—1224no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—2441no—
1704C2×C4—2441no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4—2442no—
1709C2×C4—2442no—
1710C2×C4—2442no—
1711C2×C4—2442no—
1712C2×C4—2442no—
1713C2×C4—2442no—
1714C2×C4—2442no—
1715C2×C4C2×D4×D6111yescharacteristic
1716C2×C4C2×D4×D6111yescharacteristic
1717C2×C4C2×D4×D6111yescharacteristic
1718C2×C4C2×D4×D6111yescharacteristic
1719C2×C4C24×D6111yescharacteristic
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C8—21no—
1724C8—1221no—
1725C8—1221no—
1726C8—1221no—
1727C8—1221no—
1728C22—21no—
1729C22—21no—
1730C22—22no—
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—612no—
1741C22—1221no—
1742C22—1221no—
1743C22—1221no—
1744C22—1221no—
1745C22—1221no—
1746C22—1221no—
1747C22—1221no—
1748C22—1221no—
1749C22C22×D4×D6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—612no—
1761C4—1221no—
1762C4—1221no—
1763C4—1222no—
1764C4—1221no—
1765C4—1221no—
1766C4—2441no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4C2×#41×D6111yescharacteristic
1774C4H(5,𝔽2)×D6111yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—42no—
1778C2—81no—
1779C2—1222no—
1780C2—2441no—
1781C2—2441no—
1782C2#546×D6111yescharacteristic
1783C2#2146060111yescharacteristic
1784C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3307C2
socleC22×C61C23×D4
hypercenter#3307D61
hypocenterC61#61224
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #21459737C2semidirect
2. #21459598C2semidirect
3. #21457997C2semidirect
4. #21457996C2semidirect
5. #21457985C2semidirect
6. #21457984C2semidirect
7. #21457916C2semidirect
8. #21457915C2semidirect
9. #21457912C2semidirect
10. #21457911C2semidirect
11. #21457873C2semidirect
12. #21457872C2semidirect
13. #21457869C2semidirect
14. #21457868C2semidirect
15. #21457800C2semidirect
16. #21457799C2semidirect
17. #21457788C2semidirect
18. #491×D61C2semidirect
19. #21455785C2semidirect
20. #21455781C2semidirect
21. #21455636C2semidirect
22. #21455505C2semidirect
23. #21455503C2semidirect
24. #21455301C2semidirect
25. #21455132C2semidirect
26. #21455132C2semidirect
27. #21454616C2semidirect
28. #21454533C2semidirect
29. #21454350C2semidirect
30. #21454348C2semidirect
31. C61×#3307C2semidirect
900. #3307D61semidirect
1095. C61#61224semidirect

Maximal subgroups

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

subgroupindex
#214597372
#214595982
#214579972
#214579962
#214579852
#214579842
#214579162
#214579152
#214579122
#214579112
#214578732
#214578722
#214578692
#214578682
#214578002
#214577992
#214577882
#491×D612
#214557852
#214557812
#214556362
#214555052
#214555032
#214553012
#214551322
#214546162
#214545332
#214543502
#214543482
C61×#33072
#6122461