Finite Group Databasebeta

← #30563009

Subgroups — #30563009

Order 15616.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459908C211yesmaximal, characteristic, complemented
2#21459897C211yesmaximal, characteristic
3#21458873C211yesmaximal, characteristic, complemented
4#21458748C211yesmaximal, characteristic, complemented
5#21458518C211yesmaximal, characteristic, complemented
6#21458496C211yesmaximal, characteristic, complemented
7#21458430C211yesmaximal, characteristic, complemented
8#21458255C211yesmaximal, characteristic, complemented
9#21457756C211yesmaximal, characteristic, complemented
10#21457704C211yesmaximal, characteristic, complemented
11#21457700C211yesmaximal, characteristic, complemented
12#21457693C211yesmaximal, characteristic, complemented
13#21457682C211yesmaximal, characteristic, complemented
14#21457678C211yesmaximal, characteristic, complemented
15#21457482C211yesmaximal, characteristic, complemented
16#21457394C211yesmaximal, characteristic, complemented
17#21457386C211yesmaximal, characteristic, complemented
18#21456492C211yesmaximal, characteristic, complemented
19#21456480C211yesmaximal, characteristic, complemented
20#21456373C211yesmaximal, characteristic, complemented
21#21456053C211yesmaximal, characteristic, complemented
22#21456043C211yesmaximal, characteristic, complemented
23#21456038C211yesmaximal, characteristic, complemented
24#21456028C211yesmaximal, characteristic, complemented
25#21455946C211yesmaximal, characteristic, complemented
26#21455938C211yesmaximal, characteristic, complemented
27#21454789C211yesmaximal, characteristic, complemented
28#21454660C211yesmaximal, characteristic, complemented
29#21454659C211yesmaximal, characteristic, complemented
30C2×#16839856C211yesmaximal, characteristic, complemented
31C61×#3343C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C22×Dic244C2211yescharacteristic
35#16840496—21no—
36#16840495C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840490C2211yescharacteristic
39#16840489—21no—
40#16840489C2211yescharacteristic
41#16840480C2211yescharacteristic
42#16840479—21no—
43#16840467C2211yescharacteristic
44#16840466—21no—
45#16840449—21no—
46#16840447C2211yescharacteristic
47#16840445—21no—
48#16840430C2211yescharacteristic
49D4×Dic122C2211yescharacteristic
50#16840425C2211yescharacteristic
51#16840425C2211yescharacteristic
52#16840421C2211yescharacteristic
53#16840418C2211yescharacteristic
54#16840413C2211yescharacteristic
55#16840411—21no—
56#16840410—21no—
57#16840386C2211yescharacteristic
58#16840382—21no—
59#16840380—21no—
60#16840379C2211yescharacteristic
61#16840375C2211yescharacteristic
62#16840372C2211yescharacteristic
63#16840371—21no—
64#16840369—21no—
65#16840315—21no—
66#16840314C2211yescharacteristic
67#16840308—21no—
68#16840307C2211yescharacteristic
69#16840292C2211yescharacteristic
70#16840289—21no—
71#16840289—21no—
72#16840243C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic
75#16840238C2211yescharacteristic
76C2×#14519742C2211yescharacteristic
77C2×#14519742C2211yescharacteristic
78#16840170C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840156C2211yescharacteristic
81#16840153C2211yescharacteristic
82#16840133C2211yescharacteristic
83#16840119C2211yescharacteristic
84#16840115C2211yescharacteristic
85#16840114C2211yescharacteristic
86#16840111C2211yescharacteristic
87#16840111C2211yescharacteristic
88#16840107C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840103C2211yescharacteristic
91#16840099C2211yescharacteristic
92#16840094C2211yescharacteristic
93#16840092C2211yescharacteristic
94#16840092C2211yescharacteristic
95#16840089C2211yescharacteristic
96#16840075C2211yescharacteristic
97#16840068C2211yescharacteristic
98#16840066C2211yescharacteristic
99#16840065C2211yescharacteristic
100#16840056C2211yescharacteristic
101#16840056C2211yescharacteristic
102#16840056C2211yescharacteristic
103#16840046C2211yescharacteristic
104#16840046C2211yescharacteristic
105#16840046C2211yescharacteristic
106#16840044C2211yescharacteristic
107#16840021C2211yescharacteristic
108#16840020C2211yescharacteristic
109#16840009C2211yescharacteristic
110#16840004C2211yescharacteristic
111#16840001C2211yescharacteristic
112#16839993C2211yescharacteristic
113#16839992C2211yescharacteristic
114#16839991C2211yescharacteristic
115#16839989C2211yescharacteristic
116#16839989C2211yescharacteristic
117#16839985C2211yescharacteristic
118#16839984C2211yescharacteristic
119#16839983C2211yescharacteristic
120#16839983C2211yescharacteristic
121#16839973C2211yescharacteristic
122#16839971C2211yescharacteristic
123#16839971C2211yescharacteristic
124#16839971C2211yescharacteristic
125#16839967C2211yescharacteristic
126#16839966C2211yescharacteristic
127#16839961C2211yescharacteristic
128#16839961C2211yescharacteristic
129#16839926C2211yescharacteristic
130#16839925C2211yescharacteristic
131#16839925C2211yescharacteristic
132#16839922C2211yescharacteristic
133#16839920C2211yescharacteristic
134#16839920C2211yescharacteristic
135#16839919C2211yescharacteristic
136#16839917C2211yescharacteristic
137#16839903C2211yescharacteristic
138#16839902C2211yescharacteristic
139#16839900C2211yescharacteristic
140#16839900C2211yescharacteristic
141#16839890C2211yescharacteristic
142#16839886C2211yescharacteristic
143#16839870C2211yescharacteristic
144#16839868C2211yescharacteristic
145#16839868C2211yescharacteristic
146#16839868C2211yescharacteristic
147#16839866C2211yescharacteristic
148#16839866C2211yescharacteristic
149#16839861C2211yescharacteristic
150#16839861C2211yescharacteristic
151#16839861C2211yescharacteristic
152#16839859C2211yescharacteristic
153#16839859C2211yescharacteristic
154#16839856C2211yescharacteristic
155#16839856C2211yescharacteristic
156#16839856C2211yescharacteristic
157#16839856C2211yescharacteristic
158#16839856C2211yescharacteristic
159#16839856C2211yescharacteristic
160#16839856C2211yescharacteristic
161#16839856C2211yescharacteristic
162#16839856C2211yescharacteristic
163C4×#11758202C2211yescharacteristic
164#16839853C2211yescharacteristic
165SD16×Dic61C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839849C2211yescharacteristic
168C4×#11758200C2211yescharacteristic
169#16839847C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839833C2211yescharacteristic
172D4×#92418C2211yescharacteristic
173#16839825C2211yescharacteristic
174#16839825C2211yescharacteristic
175#16839822C2211yescharacteristic
176#16839820C2211yescharacteristic
177#16839816C2211yescharacteristic
178#16839803C2211yescharacteristic
179#16839756C2211yescharacteristic
180#16839755C2211yescharacteristic
181C2×#14519700C2211yescharacteristic
182C2×#14519700C2211yescharacteristic
183C2×#14519700C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839720C2211yescharacteristic
186#16839719C2211yescharacteristic
187C2×C8×Dic61C2211yescharacteristic
188C61×#552C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#484C2211yescharacteristic
192C61×#483C2211yescharacteristic
193C61×#482C2211yescharacteristic
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#477C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C2×#107×C61C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C22×Dic122C2311yescharacteristic
209C22×Dic122C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211#14519810—24no—
212#14519806—24no—
213C2×Dic244—24no—
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C22×#92418C2311yescharacteristic
231C22×#92418C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233#14519777C2311yescharacteristic
234#14519776—21no—
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776—21no—
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519775—21no—
243#14519775—21no—
244#14519775C2311yescharacteristic
245#14519775C2311yescharacteristic
246#14519773—21no—
247#14519773C2311yescharacteristic
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519772D411yescharacteristic
253#14519771—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770D411yescharacteristic
259#14519769—21no—
260#14519768—21no—
261#14519768—21no—
262#14519768—21no—
263#14519768C2311yescharacteristic
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#14519767D411yescharacteristic
273#14519766—21no—
274#14519765C2311yescharacteristic
275#14519764—21no—
276#14519764C2311yescharacteristic
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763D411yescharacteristic
283#14519762—21no—
284#14519762—21no—
285#14519761D411yescharacteristic
286#14519760—21no—
287#14519760—21no—
288#14519760—21no—
289#14519759—21no—
290#14519758—21no—
291#14519758D411yescharacteristic
292#14519757C2311yescharacteristic
293#14519757C2311yescharacteristic
294#14519757C2311yescharacteristic
295#14519756—21no—
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519756C2311yescharacteristic
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754D411yescharacteristic
312#14519753—21no—
313#14519752C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519750—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749D411yescharacteristic
321Q8×Dic61C2311yescharacteristic
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742—21no—
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343#14519742C2311yescharacteristic
344#14519742C2311yescharacteristic
345#14519742C2311yescharacteristic
346#14519742C2311yescharacteristic
347#14519742C2311yescharacteristic
348#14519742C2311yescharacteristic
349#14519742C2311yescharacteristic
350D4×Dic61—21no—
351D4×Dic61—21no—
352D4×Dic61C2311yescharacteristic
353#14519739C2311yescharacteristic
354#14519739C2311yescharacteristic
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61C2311yescharacteristic
361C4×C22⋊D61C2311yescharacteristic
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519736—21no—
369#14519736C2311yescharacteristic
370#14519735—21no—
371#14519735—21no—
372#14519735C2311yescharacteristic
373#14519734—21no—
374#14519734C2311yescharacteristic
375#14519733—21no—
376#14519733—21no—
377#14519733—21no—
378#14519733—21no—
379C2×#11758196—21no—
380C2×#11758196—21no—
381C2×#11758196—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61C2311yescharacteristic
384C2×C4×Dic61—21no—
385C2×C4×Dic61—21no—
386C2×C4×Dic61C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×#41×C61—21no—
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#125×C61—21no—
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#123×C61—21no—
448#123×C61—21no—
449C22⋊Q8×C61—21no—
450C22⋊Q8×C61C2311yescharacteristic
451C22⋊Q8×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#41×C61—82no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2×D411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61C2×D411yescharacteristic
507C22×Dic61C2×D411yescharacteristic
508Q8×D61—22no—
509Q8×D61—41no—
510#11758224—22no—
511#11758224—41no—
512#11758224—82no—
513#11758222—22no—
514#11758222—41no—
515#11758222—82no—
516C2×D244—21no—
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61C2411yescharacteristic
524C2×Dic122—22no—
525C2×Dic122—22no—
526C2×Dic122—22no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—41no—
535C2×Dic122—41no—
536C2×Dic122—41no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2411yescharacteristic
539C2×Dic122C2411yescharacteristic
540C2×Dic122C2411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543SD16×C61—22no—
544M16×C61—22no—
545C2×C8×C61—22no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61C2×D411yescharacteristic
573C22⋊C4×C61C2×D411yescharacteristic
574C42×C61—21no—
575C42×C61—21no—
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61C2×D411yescharacteristic
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758202—22no—
588#11758202—41no—
589#11758201—41no—
590#11758200—22no—
591#11758200—41no—
592#11758200—41no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2×D411yescharacteristic
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×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×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C4×Dic61C2411yescharacteristic
672C2×#92418—41no—
673C2×#92418—41no—
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678Dic244—22no—
679Dic244—22no—
680Dic244—22no—
681Dic244—22no—
682Dic244—41no—
683Dic244#4114yescomplemented
684#11758190—22no—
685#11758190—22no—
686#11758190—41no—
687#11758189—22no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61C22×D411yescharacteristic
691C23×C61C22×D411yescharacteristic
692C22×D61—21no—
693C22×D61C22×D411yescharacteristic
694Q8×C61—21no—
695Q8×C61—21no—
696Q8×C61—81no—
697D4×C61—22no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—42no—
701D4×C61—81no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—42no—
714C2×C4×C61—42no—
715C2×C4×C61—81no—
716C2×C4×C61—81no—
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C2511yescharacteristic
722C22⋊D61—22no—
723C22⋊D61—22no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—81no—
729C2×Dic61—22no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—22no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—42no—
742C2×Dic61—81no—
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750D244—21no—
751D244—21no—
752D244—81no—
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760Dic122—21no—
761Dic122—21no—
762Dic122—22no—
763Dic122—21no—
764Dic122—21no—
765Dic122—21no—
766Dic122—21no—
767Dic122—21no—
768Dic122—21no—
769Dic122—42no—
770Dic122—42no—
771Dic122—42no—
772Dic122—42no—
773Dic122—42no—
774Dic122—81no—
775Dic122—81no—
776Dic122C2×#4112yes—
777Dic122C2×#4112yes—
778C8×C61—21no—
779C8×C61—21no—
780C8×C61—21no—
781C8×C61C2×#4112yes—
782#92418—21no—
783#92418—21no—
784#92418—21no—
785#92418—21no—
786#61499—611nomaximal, Sylow
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—21no—
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61#57712yes—
796C22×C61C23×D411yescharacteristic
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C4×C61—21no—
804C4×C61—21no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61C22×#4111yescharacteristic
815C4×C61#58511yescharacteristic
816Dic61—22no—
817Dic61—22no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61#57812yes—
830#3523—611no—
831#3522—611no—
832#3400—611no—
833#3387—611no—
834#3365—611no—
835#3363—611no—
836#3356—611no—
837#3343—611no—
838#3343D6111yescharacteristic, complemented
839#3304—611no—
840#3300—611no—
841#3300—611no—
842#3299—611no—
843#3298—611no—
844#3298—611no—
845#3278—611no—
846#3270—611no—
847#3270—611no—
848#3178—611no—
849#3178—611no—
850#3167—611no—
851#3121—611no—
852#3121—611no—
853#3120—611no—
854#3120—611no—
855#3113—611no—
856#3112—611no—
857#2966—611no—
858#2947—611no—
859#2947—611no—
860C2×C4×Q16—611no—
861C2×C61—22no—
862C2×C61—41no—
863C2×C61—81no—
864C2×C61D4×#4111yescharacteristic
865C2×C61C2×#57711yescharacteristic
866C2×C61C2×#57811yescharacteristic
867D61—41no—
868D61—81no—
869C2×#137—611no—
870C2×#137—611no—
871C22×Q16—611no—
872#559—611no—
873#559—1221no—
874Q82—611no—
875#557—611no—
876#557—611no—
877#557—1221no—
878#556—611no—
879#556—1221no—
880#554—611no—
881#554—1221no—
882#552—611no—
883#552—1221no—
884#552—1221no—
885#552C2×D6111yescharacteristic
886#550—611no—
887D4×Q8—611no—
888D4×Q8—611no—
889D4×Q8—611no—
890#548—611no—
891#548—611no—
892#547—611no—
893#547—1221no—
894#547—1221no—
895#547C2×D6111yescharacteristic
896#542—611no—
897#542—611no—
898#542—1221no—
899#542—1221no—
900#541—611no—
901#541—611no—
902#541—1221no—
903#541—1221no—
904#533—611no—
905#533—1221no—
906#532—611no—
907#532—1221no—
908#529—611no—
909#529—1221no—
910#529—1221no—
911#520—611no—
912#520—611no—
913#519—611no—
914#519—611no—
915C2×C4×Q8—611no—
916C2×C4×Q8—611no—
917#501—611no—
918#501C2×D6111yescharacteristic
919#498—611no—
920#497—611no—
921#497—611no—
922#492—611no—
923#488—611no—
924#488—611no—
925#487—611no—
926#487—611no—
927#487—611no—
928#486—611no—
929#485—611no—
930#485—611no—
931#484—611no—
932#484C2×D6111yescharacteristic
933#483—611no—
934#483—611no—
935#483—611no—
936#483C2×D6111yescharacteristic
937#482—611no—
938#482C2×D6111yescharacteristic
939#480—611no—
940#480C2×D6111yescharacteristic
941#479—611no—
942#479—611no—
943#478—611no—
944#478C2×D6111yescharacteristic
945#477—611no—
946#477—611no—
947#477—611no—
948#477C2×D6111yescharacteristic
949#475—611no—
950#475—611no—
951#475—611no—
952#475—611no—
953#470—611no—
954#470—611no—
955#468—611no—
956#468C2×D6111yescharacteristic
957#467—611no—
958#467—611no—
959#465—611no—
960#465—611no—
961#465—611no—
962#465—611no—
963#465—611no—
964#465C2×D6111yescharacteristic
965#464—611no—
966#464—611no—
967#464—611no—
968#464—611no—
969#462—611no—
970#462—611no—
971#462—611no—
972#462—611no—
973#461—611no—
974#461—611no—
975#460—611no—
976#460—611no—
977#452—611no—
978#452—611no—
979#452—611no—
980#452—611no—
981#451—611no—
982#451—611no—
983#451—611no—
984#451—611no—
985#448—611no—
986#448—611no—
987#448—611no—
988#448—611no—
989#446—611no—
990C8×Q8—611no—
991#441—611no—
992#441—611no—
993#441—611no—
994#441—611no—
995#441—611no—
996#441—611no—
997#440—611no—
998#440—611no—
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440C2×D6111yescharacteristic
1003C4×Q16—611no—
1004C4×Q16—611no—
1005C4×Q16—611no—
1006C4×Q16—611no—
1007C4×Q16—611no—
1008C4×Q16—611no—
1009C4×Q16—611no—
1010C4×Q16—611no—
1011C4×Q16—611no—
1012C4×Q16—611no—
1013C4×SD16—611no—
1014C4×SD16—611no—
1015C4×SD16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019#436—611no—
1020#435—611no—
1021#435C2×D6111yescharacteristic
1022C8×D4—611no—
1023C8×D4—611no—
1024C8×D4—611no—
1025#433—611no—
1026#433—611no—
1027#432—611no—
1028#428—611no—
1029#428C2×D6111yescharacteristic
1030C2×#107C2×D6111yescharacteristic
1031#416—611no—
1032#416—611no—
1033C2×#103—611no—
1034C2×#103—611no—
1035C2×#103—611no—
1036C2×#103—611no—
1037#405—611no—
1038#405—611no—
1039C2×C4×C8—611no—
1040C61#6149911yescharacteristic, complemented, Sylow
1041C2×#41—21no—
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—1221no—
1045C2×#41—1221no—
1046C22×Q8—611no—
1047C22×Q8—611no—
1048C22×Q8—611no—
1049C22×Q8—611no—
1050#137—1224no—
1051#137—1224no—
1052C2×Q16—611no—
1053C2×Q16—611no—
1054C2×Q16—611no—
1055C2×Q16—611no—
1056C2×Q16—611no—
1057C2×Q16—611no—
1058C2×Q16—611no—
1059C2×Q16—611no—
1060C2×Q16—1224no—
1061C2×SD16—611no—
1062C2×SD16—611no—
1063C2×SD16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16C22×D6111yescharacteristic
1069C2×M16—611no—
1070C2×M16C22×D6111yescharacteristic
1071C22×C8—611no—
1072C22×C8—611no—
1073C22×C8—611no—
1074C22×C8C22×D6111yescharacteristic
1075C4⋊Q8—611no—
1076C4⋊Q8—611no—
1077C4⋊Q8—611no—
1078C4⋊Q8—611no—
1079C4⋊Q8—611no—
1080C4⋊Q8—611no—
1081C4⋊Q8—1221no—
1082C4⋊Q8—1221no—
1083C4⋊Q8—1221no—
1084C4⋊Q8—1221no—
1085C4⋊Q8—1221no—
1086C4⋊Q8—1221no—
1087C4⋊Q8—1221no—
1088C4⋊Q8C22×D6111yescharacteristic
1089#127—611no—
1090#127—1221no—
1091#126—21no—
1092#126—611no—
1093#126—611no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#125—21no—
1104#125—611no—
1105#125—611no—
1106#125—1221no—
1107#125—1221no—
1108#125—1221no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#125—1221no—
1116#125—1221no—
1117#125—1221no—
1118#125C22×D6111yescharacteristic
1119#124—611no—
1120#124—611no—
1121#124—611no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#124—1221no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—611no—
1133#123—611no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141C22⋊Q8—21no—
1142C22⋊Q8—611no—
1143C22⋊Q8—611no—
1144C22⋊Q8—611no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8C22×D6111yescharacteristic
1164C22⋊Q8C22×D6111yescharacteristic
1165#121—611no—
1166#121—611no—
1167#121—611no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121C22×D6111yescharacteristic
1174#121C22×D6111yescharacteristic
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—611no—
1178C4×Q8—611no—
1179C4×Q8—611no—
1180C4×Q8—611no—
1181C4×Q8—611no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—1221no—
1192C4×Q8—1221no—
1193C4×Q8—1221no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8—1221no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8C22×D6111yescharacteristic
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4C22×D6111yescharacteristic
1224C4×D4C22×D6111yescharacteristic
1225#117—21no—
1226#117—611no—
1227#117—611no—
1228#117—611no—
1229#117—1221no—
1230#117—1221no—
1231#117—1221no—
1232#117—1221no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117C22×D6111yescharacteristic
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—1221no—
1240C2×C4⋊C4—1221no—
1241C2×C4⋊C4—1221no—
1242C2×C4⋊C4—1221no—
1243C2×C4⋊C4C22×D6111yescharacteristic
1244C2×C4⋊C4C22×D6111yescharacteristic
1245C2×C4⋊C4C22×D6111yescharacteristic
1246C2×C42—611no—
1247C2×C42—1221no—
1248C2×C42—1221no—
1249#107—611no—
1250#107—611no—
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#107C22×D6111yescharacteristic
1254#107C22×D6111yescharacteristic
1255#107C22×D6111yescharacteristic
1256#107C22×D6111yescharacteristic
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8C22×D6111yescharacteristic
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103C22×D6111yescharacteristic
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303C22⋊C8—611no—
1304C22⋊C8—611no—
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8C22×D6111yescharacteristic
1308C22⋊C8C22×D6111yescharacteristic
1309#97—611no—
1310#97—611no—
1311#97—611no—
1312#97C22×D6111yescharacteristic
1313C4×C8—611no—
1314C4×C8—611no—
1315C4×C8—611no—
1316C4×C8—611no—
1317C4×C8—611no—
1318C4×C8—611no—
1319#41—82no—
1320#41—1222no—
1321#41—1222no—
1322#41—4882no—
1323#41—4882no—
1324#41—2441no—
1325#41—2441no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—611no—
1331C2×Q8—611no—
1332C2×Q8—611no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8—1221no—
1337C2×Q8—1222no—
1338C2×Q8—1222no—
1339C2×Q8—1222no—
1340C2×Q8—1221no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1222no—
1344C2×Q8—2441no—
1345C2×Q8—2441no—
1346C2×Q8—2441no—
1347C2×Q8—2441no—
1348C2×Q8C23×D6111yescharacteristic
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—611no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4D4×D6111yescharacteristic
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381Q16—614no—
1382Q16—1222no—
1383Q16—1222no—
1384Q16—1222no—
1385Q16—1222no—
1386Q16—1222no—
1387Q16—2441no—
1388Q16—2441no—
1389SD16—22no—
1390SD16—1222no—
1391SD16—1222no—
1392SD16—1222no—
1393SD16—2441no—
1394SD16—2441no—
1395SD16—2441no—
1396SD16—2441no—
1397M16—22no—
1398M16—1222no—
1399C2×C8—22no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—611no—
1404C2×C8—2441no—
1405C2×C8—2441no—
1406C2×C8—2441no—
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C2×C8C23×D6111yescharacteristic
1410C2×C8C23×D6111yescharacteristic
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4D4×D6111yescharacteristic
1465C4⋊C4C23×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C4⋊C4C23×D6111yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4D4×D6111yescharacteristic
1502C22⋊C4D4×D6111yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—611no—
1509C42—611no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42—1221no—
1516C42—1221no—
1517C42—1221no—
1518C42—1221no—
1519C42—1221no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42C23×D6111yescharacteristic
1527C23—21no—
1528C23—611no—
1529C23—1221no—
1530C23C2×D4×D6111yescharacteristic
1531C23C2×D4×D6111yescharacteristic
1532Q8—21no—
1533Q8—21no—
1534Q8—81no—
1535Q8—612no—
1536Q8—612no—
1537Q8—1222no—
1538Q8—1221no—
1539Q8—1221no—
1540Q8—1221no—
1541Q8—1221no—
1542Q8—1221no—
1543Q8—1221no—
1544Q8—1221no—
1545Q8—1221no—
1546Q8—4881no—
1547Q8—4881no—
1548Q8—2442no—
1549Q8—2442no—
1550Q8—2442no—
1551Q8—2442no—
1552Q8—2442no—
1553D4—22no—
1554D4—21no—
1555D4—21no—
1556D4—42no—
1557D4—81no—
1558D4—1222no—
1559D4—1222no—
1560D4—1221no—
1561D4—1221no—
1562D4—4881no—
1563D4—4881no—
1564D4—2442no—
1565D4—2442no—
1566D4—2442no—
1567D4—2442no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—611no—
1584C2×C4—611no—
1585C2×C4—611no—
1586C2×C4—611no—
1587C2×C4—611no—
1588C2×C4—611no—
1589C2×C4—611no—
1590C2×C4—1222no—
1591C2×C4—1222no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—4881no—
1602C2×C4—4881no—
1603C2×C4—4881no—
1604C2×C4—4881no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4—2442no—
1609C2×C4—2442no—
1610C2×C4—2442no—
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C2×D4×D6111yescharacteristic
1614C2×C4C2×D4×D6111yescharacteristic
1615C2×C4C24×D6111yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C8—1221no—
1623C8#41×D6112yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22#1684057212yes—
1639C22C22×D4×D6111yescharacteristic
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—612no—
1652C4—1221no—
1653C4—1221no—
1654C4—1221no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1222no—
1659C4—1222no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4C2×#41×D6111yescharacteristic
1666C4#1684059911yescharacteristic
1667C2—22no—
1668C2—41no—
1669C2—81no—
1670C2—4881no—
1671C2—2441no—
1672C2#2145930611yescharacteristic
1673C2C2×#1684057211yescharacteristic
1674C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3343C2
socleC22×C61C23×D4
prime radical#21459897C2
hypercenter#3343D61
hypocenterC61#61499
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #21459908C2semidirect
3. #21458873C2semidirect
4. #21458748C2semidirect
5. #21458518C2semidirect
6. #21458496C2semidirect
7. #21458430C2semidirect
8. #21458255C2semidirect
9. #21457756C2semidirect
10. #21457704C2semidirect
11. #21457700C2semidirect
12. #21457693C2semidirect
13. #21457682C2semidirect
14. #21457678C2semidirect
15. #21457482C2semidirect
16. #21457394C2semidirect
17. #21457386C2semidirect
18. #21456492C2semidirect
19. #21456480C2semidirect
20. #21456373C2semidirect
21. #21456053C2semidirect
22. #21456043C2semidirect
23. #21456038C2semidirect
24. #21456028C2semidirect
25. #21455946C2semidirect
26. #21455938C2semidirect
27. #21454789C2semidirect
28. #21454660C2semidirect
29. #21454659C2semidirect
30. C2×#16839856C2semidirect
31. C61×#3343C2semidirect
683. Dic244#41semidirect
838. #3343D61semidirect
1040. C61#61499semidirect

Maximal subgroups

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

subgroupindex
#214599082
#214598972
#214588732
#214587482
#214585182
#214584962
#214584302
#214582552
#214577562
#214577042
#214577002
#214576932
#214576822
#214576782
#214574822
#214573942
#214573862
#214564922
#214564802
#214563732
#214560532
#214560432
#214560382
#214560282
#214559462
#214559382
#214547892
#214546602
#214546592
C2×#168398562
C61×#33432
#6149961