Finite Group Databasebeta

← #30576886

Subgroups — #30576886

Order 15616.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460468C211yesmaximal, characteristic, complemented
2#21459828C211yesmaximal, characteristic, complemented
3#21458748C211yesmaximal, characteristic, complemented
4#21458726C211yesmaximal, characteristic, complemented
5#21458656C211yesmaximal, characteristic, complemented
6#21458641C211yesmaximal, characteristic, complemented
7#21458362C211yesmaximal, characteristic, complemented
8#21458353C211yesmaximal, characteristic, complemented
9#21458333C211yesmaximal, characteristic, complemented
10#21458318C211yesmaximal, characteristic, complemented
11#21458244C211yesmaximal, characteristic, complemented
12#21458225C211yesmaximal, characteristic, complemented
13#21458003C211yesmaximal, characteristic, complemented
14#21457989C211yesmaximal, characteristic, complemented
15#21457883C211yesmaximal, characteristic, complemented
16#21457869C211yesmaximal, characteristic, complemented
17#21457724C211yesmaximal, characteristic, complemented
18#21457709C211yesmaximal, characteristic, complemented
19#21457288C211yesmaximal, characteristic, complemented
20#21457282C211yesmaximal, characteristic, complemented
21#21457150C211yesmaximal, characteristic, complemented
22#21457122C211yesmaximal, characteristic, complemented
23#21457107C211yesmaximal, characteristic, complemented
24#21456055C211yesmaximal, characteristic, complemented
25#21456053C211yesmaximal, characteristic, complemented
26#21455930C211yesmaximal, characteristic, complemented
27#21455656C211yesmaximal, characteristic, complemented
28#21455654C211yesmaximal, characteristic, complemented
29#21455601C211yesmaximal, characteristic, complemented
30#21454960C211yesmaximal, characteristic, complemented
31C61×#3237C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840508—21no—
34#16840492C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840486C2211yescharacteristic
37#16840484—21no—
38#16840484—21no—
39#16840484—21no—
40#16840483C2211yescharacteristic
41#16840483C2211yescharacteristic
42#16840480—21no—
43#16840480C2211yescharacteristic
44#16840478C2211yescharacteristic
45#16840475—21no—
46#16840475C2211yescharacteristic
47#16840468C2211yescharacteristic
48#16840465C2211yescharacteristic
49#16840456C2211yescharacteristic
50#16840453—21no—
51#16840451C2211yescharacteristic
52#16840450C2211yescharacteristic
53#16840427C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840422C2211yescharacteristic
56#16840389C2211yescharacteristic
57#16840389C2211yescharacteristic
58#16840386C2211yescharacteristic
59#16840386C2211yescharacteristic
60#16840384—21no—
61#16840384C2211yescharacteristic
62#16840384C2211yescharacteristic
63#16840382—21no—
64#16840382—21no—
65#16840382—21no—
66#16840370—21no—
67#16840358—21no—
68#16840318—21no—
69#16840297—21no—
70#16840296C2211yescharacteristic
71#16840296C2211yescharacteristic
72#16840238C2211yescharacteristic
73#16840238C2211yescharacteristic
74C4×#11758222C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840166C2211yescharacteristic
78#16840159C2211yescharacteristic
79#16840123C2211yescharacteristic
80#16840123C2211yescharacteristic
81#16840118C2211yescharacteristic
82#16840118C2211yescharacteristic
83#16840106C2211yescharacteristic
84#16840105C2211yescharacteristic
85#16840104C2211yescharacteristic
86#16840102C2211yescharacteristic
87#16840101C2211yescharacteristic
88#16840096C2211yescharacteristic
89#16840091C2211yescharacteristic
90#16840089C2211yescharacteristic
91#16840089C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840082C2211yescharacteristic
96#16840077C2211yescharacteristic
97#16840072C2211yescharacteristic
98#16840071C2211yescharacteristic
99#16840070C2211yescharacteristic
100#16840069C2211yescharacteristic
101#16840069C2211yescharacteristic
102#16840068C2211yescharacteristic
103#16840067C2211yescharacteristic
104#16840066C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840063C2211yescharacteristic
107#16840059C2211yescharacteristic
108#16840059C2211yescharacteristic
109#16840056C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840055C2211yescharacteristic
112#16840054C2211yescharacteristic
113#16840051C2211yescharacteristic
114#16840049C2211yescharacteristic
115#16840046C2211yescharacteristic
116#16840046C2211yescharacteristic
117#16840045C2211yescharacteristic
118#16840044C2211yescharacteristic
119#16840044C2211yescharacteristic
120#16840041C2211yescharacteristic
121#16840039C2211yescharacteristic
122#16840039C2211yescharacteristic
123#16840019C2211yescharacteristic
124#16840016C2211yescharacteristic
125#16840011C2211yescharacteristic
126#16840009C2211yescharacteristic
127#16840002C2211yescharacteristic
128#16840001C2211yescharacteristic
129#16840001C2211yescharacteristic
130#16839999C2211yescharacteristic
131#16839994C2211yescharacteristic
132#16839993C2211yescharacteristic
133#16839993C2211yescharacteristic
134#16839992C2211yescharacteristic
135#16839987C2211yescharacteristic
136#16839987C2211yescharacteristic
137#16839985C2211yescharacteristic
138#16839984C2211yescharacteristic
139#16839984C2211yescharacteristic
140#16839980C2211yescharacteristic
141#16839980C2211yescharacteristic
142#16839978C2211yescharacteristic
143#16839969C2211yescharacteristic
144#16839964C2211yescharacteristic
145#16839926C2211yescharacteristic
146#16839919C2211yescharacteristic
147#16839919C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839902C2211yescharacteristic
150#16839902C2211yescharacteristic
151#16839890C2211yescharacteristic
152#16839890C2211yescharacteristic
153#16839875C2211yescharacteristic
154#16839870C2211yescharacteristic
155#16839868C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839865C2211yescharacteristic
158#16839864C2211yescharacteristic
159#16839864C2211yescharacteristic
160#16839861C2211yescharacteristic
161#16839856C2211yescharacteristic
162#16839854C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839835C2211yescharacteristic
166#16839835C2211yescharacteristic
167#16839830C2211yescharacteristic
168#16839830C2211yescharacteristic
169#16839825C2211yescharacteristic
170#16839825C2211yescharacteristic
171#16839822C2211yescharacteristic
172#16839822C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839801C2211yescharacteristic
175#16839799C2211yescharacteristic
176#16839798C2211yescharacteristic
177#16839798C2211yescharacteristic
178#16839797C2211yescharacteristic
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic
181C2×C4⋊#92418C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839756C2211yescharacteristic
185#16839756C2211yescharacteristic
186#103×D61C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#533C2211yescharacteristic
189C61×#533C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#491C2211yescharacteristic
193C61×#491C2211yescharacteristic
194C61×#485C2211yescharacteristic
195C61×#485C2211yescharacteristic
196C61×#485C2211yescharacteristic
197C61×#485C2211yescharacteristic
198C61×#477C2211yescharacteristic
199C61×#477C2211yescharacteristic
200C61×#475C2211yescharacteristic
201C61×#475C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×Q8×D61C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Dic244C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×D488C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×#11758189C2311yescharacteristic
216C22×#92418C2311yescharacteristic
217C22×#92418C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519775—21no—
228#14519775—21no—
229#14519775—21no—
230#14519775—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519771—21no—
240#14519771—21no—
241#14519771—21no—
242#14519771—21no—
243#14519771—21no—
244#14519771D411yescharacteristic
245#14519771D411yescharacteristic
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519769—21no—
251#14519769D411yescharacteristic
252#14519769C2311yescharacteristic
253#14519768—21no—
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519766—21no—
261#14519766—21no—
262#14519766—21no—
263#14519766—21no—
264#14519766C2311yescharacteristic
265#14519766C2311yescharacteristic
266#14519765—21no—
267#14519765—21no—
268#14519765—21no—
269#14519765D411yescharacteristic
270#14519765C2311yescharacteristic
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519760—21no—
284#14519760D411yescharacteristic
285#14519760D411yescharacteristic
286#14519759—21no—
287#14519759—21no—
288#14519757—21no—
289#14519757—21no—
290#14519757C2311yescharacteristic
291#14519757C2311yescharacteristic
292#14519756D411yescharacteristic
293#14519756C2311yescharacteristic
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519752—21no—
311#14519752—21no—
312#14519752C2311yescharacteristic
313#14519752C2311yescharacteristic
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519751D411yescharacteristic
317#14519751C2311yescharacteristic
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322Q8×Dic61C2311yescharacteristic
323Q8×Dic61C2311yescharacteristic
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341C4×D244—21no—
342C4×D244C2311yescharacteristic
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345C4×D244C2311yescharacteristic
346#14519739—21no—
347#14519739—21no—
348#14519739—21no—
349#14519739—21no—
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61C2311yescharacteristic
356C4×C22⋊D61C2311yescharacteristic
357#14519736C2311yescharacteristic
358#14519735—21no—
359#14519735—21no—
360#14519735—21no—
361#14519735—21no—
362#14519735—21no—
363#14519735C2311yescharacteristic
364#14519735C2311yescharacteristic
365#14519735C2311yescharacteristic
366#14519735C2311yescharacteristic
367#14519734—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734—21no—
371#14519734—21no—
372#14519734—21no—
373#14519734C2311yescharacteristic
374#14519734C2311yescharacteristic
375C4⋊C4×D61—21no—
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C42×D61—21no—
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61—21no—
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442C22⋊Q8×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447C4×Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452#117×C61—21no—
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C22×C4×C61C2×D411yescharacteristic
484C22×C4×C61C2×D411yescharacteristic
485C22×C4×C61C2411yescharacteristic
486C2×C22⋊D61—21no—
487C2×C22⋊D61—21no—
488C2×C22⋊D61C2×D411yescharacteristic
489C2×C22⋊D61C2×D411yescharacteristic
490Q8×D61—22no—
491Q8×D61—22no—
492Q8×D61—41no—
493Q8×D61—41no—
494#11758222—22no—
495#11758222—41no—
496C2×D244—21no—
497C2×D244—21no—
498C2×D244—21no—
499C2×D244—21no—
500C2×D244C2×D411yescharacteristic
501C2×D244C2411yescharacteristic
502C2×D244C2411yescharacteristic
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61C2411yescharacteristic
514C2×C4×D61C2411yescharacteristic
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524C2×C8×C61C2411yescharacteristic
525C2×C8×C61C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C4⋊C4×C61—21no—
529C4⋊C4×C61—21no—
530C4⋊C4×C61—21no—
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61C2411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C42×C61—21no—
552C42×C61—21no—
553C42×C61—21no—
554C42×C61—21no—
555C42×C61C2×D411yescharacteristic
556C42×C61C2×D411yescharacteristic
557C42×C61C2411yescharacteristic
558C42×C61C2411yescharacteristic
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61C2×D411yescharacteristic
562C22⋊Dic61C2×D411yescharacteristic
563#11758202—41no—
564#11758202—41no—
565#11758201—41no—
566#11758201—41no—
567#11758198—21no—
568#11758198—21no—
569#11758198—21no—
570#11758198—21no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597#11758198C2×D411yescharacteristic
598#11758198C2×D411yescharacteristic
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C2×#92418—41no—
656C2×#92418—41no—
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661Dic244—22no—
662D488—41no—
663#11758190—22no—
664#11758190—41no—
665#11758189—41no—
666#11758189—41no—
667C8×D61—41no—
668C8×D61—41no—
669C23×C61C22×D411yescharacteristic
670C22×D61—21no—
671C22×D61—21no—
672C22×D61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—21no—
677Q8×C61—21no—
678Q8×C61—81no—
679Q8×C61—81no—
680Q8×C61—81no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—41no—
692C2×C4×C61—41no—
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C2511yescharacteristic
699C22⋊D61—41no—
700C22⋊D61—41no—
701C22⋊D61—42no—
702C22⋊D61—81no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715D244—21no—
716D244—21no—
717D244—21no—
718D244—21no—
719D244—41no—
720D244—81no—
721D244—81no—
722D244—81no—
723D244—81no—
724C4×D61—21no—
725C4×D61—21no—
726C4×D61—21no—
727C4×D61—21no—
728C4×D61—42no—
729C4×D61—42no—
730C4×D61—42no—
731C4×D61—42no—
732C4×D61—81no—
733C4×D61—81no—
734C4×D61—81no—
735C4×D61—81no—
736C4×D61—81no—
737C4×D61—81no—
738Dic122—21no—
739Dic122—21no—
740Dic122—21no—
741Dic122—41no—
742Dic122—42no—
743Dic122—42no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic1222−1+412yes—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753#92418—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#62161—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
761C22×C61C23×D411yescharacteristic
762C2×D61—21no—
763C2×D61—21no—
764C2×D61—21no—
765C2×D61—21no—
766C2×D61—21no—
767C2×D61—21no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—21no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61—41no—
787C4×C61C2×2−1+411yescharacteristic
788C4×C61#58511yescharacteristic
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—21no—
793Dic61—22no—
794Dic61—21no—
795Dic61—21no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3565—611no—
802#3518—611no—
803#3387—611no—
804#3385—611no—
805#3377—611no—
806#3376—611no—
807#3350—611no—
808#3349—611no—
809#3348—611no—
810#3347—611no—
811#3342—611no—
812#3340—611no—
813#3321—611no—
814#3320—611no—
815#3313—611no—
816#3312—611no—
817#3301—611no—
818#3300—611no—
819#3263—611no—
820#3262—611no—
821#3248—611no—
822#3244—611no—
823#3243—611no—
824#3237D6111yescharacteristic, complemented
825#3121—611no—
826#3121—611no—
827#3111—611no—
828#3082—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61—41no—
833C2×C61#348911yescharacteristic
834C2×C61#358411yescharacteristic
835C2×C61#358611yescharacteristic
836D61—41no—
837D61—41no—
838D61—81no—
839D61—81no—
840#563—1221no—
841#562—1221no—
842Q82—611no—
843#557—611no—
844#556—611no—
845#556—611no—
846#556—611no—
847#556—611no—
848#556—1221no—
849#556—1221no—
850#556—1221no—
851#556—1221no—
852#555—611no—
853#555—611no—
854#555—1221no—
855#554—611no—
856#553—611no—
857#553—611no—
858#552—611no—
859#552—611no—
860#552—1221no—
861D4×Q8—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544—611no—
866#542—611no—
867#542—611no—
868#542—611no—
869#542—611no—
870#542—1221no—
871#542—1221no—
872#542—1221no—
873#542—1221no—
874#541—1221no—
875#539—1221no—
876#533—1221no—
877#533C2×D6111yescharacteristic
878#533C2×D6111yescharacteristic
879#529—611no—
880#529—611no—
881#529—1221no—
882#519—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501C2×D6111yescharacteristic
888#501C2×D6111yescharacteristic
889#500—611no—
890#498—611no—
891#491C2×D6111yescharacteristic
892#491C2×D6111yescharacteristic
893#489—611no—
894#489—611no—
895#488—611no—
896#488—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485C2×D6111yescharacteristic
903#485C2×D6111yescharacteristic
904#485C2×D6111yescharacteristic
905#485C2×D6111yescharacteristic
906#484—611no—
907#483—611no—
908#482—611no—
909#482—611no—
910#482—611no—
911#482—611no—
912#482—611no—
913#481—611no—
914#480—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477C2×D6111yescharacteristic
932#477C2×D6111yescharacteristic
933#476—611no—
934#476—611no—
935#475—611no—
936#475—611no—
937#475—611no—
938#475—611no—
939#475—611no—
940#475C2×D6111yescharacteristic
941#475C2×D6111yescharacteristic
942#474—611no—
943#474—611no—
944#474—611no—
945#470—611no—
946#469—611no—
947#468—611no—
948#468—611no—
949#467—611no—
950#467—611no—
951#467—611no—
952#466—611no—
953#465—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#464—611no—
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#463—611no—
963#463—611no—
964#463—611no—
965#462—611no—
966#461—611no—
967#452—611no—
968#451—611no—
969#451—611no—
970#449—611no—
971#448—611no—
972#448—611no—
973#446—611no—
974#446—611no—
975#442—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×SD16—611no—
986C4×SD16—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435—611no—
991C8×D4—611no—
992C8×D4—611no—
993#433—611no—
994#433—611no—
995#432C2×D6111yescharacteristic
996#428—611no—
997#428—611no—
998#427—611no—
999#427—611no—
1000#427—611no—
1001#427—611no—
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#419—611no—
1007#416—611no—
1008#416—611no—
1009C2×#103—611no—
1010C2×#103—611no—
1011C61#6216111yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C22×Q8—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16—611no—
1018C2×SD16—611no—
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16—611no—
1022C2×D8—611no—
1023C2×M16—611no—
1024C2×M16—611no—
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8—611no—
1028C22×C8—611no—
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042C4⋊Q8C22×D6111yescharacteristic
1043C4⋊Q8C22×D6111yescharacteristic
1044#126—611no—
1045#126—611no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#125—21no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125C22×D6111yescharacteristic
1075#125C22×D6111yescharacteristic
1076#124—611no—
1077#124—611no—
1078#124—611no—
1079#124—611no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#123—611no—
1094#123—611no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8C22×D6111yescharacteristic
1130C22⋊Q8C22×D6111yescharacteristic
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143C4×Q8—21no—
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×Q8C22×D6111yescharacteristic
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183#117—21no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117C22×D6111yescharacteristic
1203#117C22×D6111yescharacteristic
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—1221no—
1207C2×C42—1221no—
1208C2×C42C22×D6111yescharacteristic
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106—611no—
1229#106C22×D6111yescharacteristic
1230#106C22×D6111yescharacteristic
1231#106C22×D6111yescharacteristic
1232#106C22×D6111yescharacteristic
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8C22×D6111yescharacteristic
1242C4⋊C8C22×D6111yescharacteristic
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103C22×D6111yescharacteristic
1258#103C22×D6111yescharacteristic
1259#103C22×D6111yescharacteristic
1260#103C22×D6111yescharacteristic
1261#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8—611no—
1279C22⋊C8C22×D6111yescharacteristic
1280C22⋊C8C22×D6111yescharacteristic
1281#97—611no—
1282#97—611no—
1283#97C22×D6111yescharacteristic
1284#97C22×D6111yescharacteristic
1285C4×C8—611no—
1286C4×C8—611no—
1287#41—1222no—
1288#41—2441no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—611no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1222no—
1302C2×Q8—1222no—
1303C2×Q8—2441no—
1304C2×Q8—2441no—
1305C2×Q8C23×D6111yescharacteristic
1306C2×Q8C23×D6111yescharacteristic
1307C2×D4—611no—
1308C2×D4—611no—
1309C2×D4—611no—
1310C2×D4—611no—
1311C2×D4—611no—
1312C2×D4—1221no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4—1221no—
1316C2×D4—1221no—
1317C2×D4—1221no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4D4×D6111yescharacteristic
1331C22×C4D4×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333Q16—1222no—
1334Q16—2441no—
1335Q16—2441no—
1336SD16—1222no—
1337SD16—2441no—
1338SD16—2441no—
1339SD16—2441no—
1340D8—2441no—
1341M16—2441no—
1342M16—2441no—
1343C2×C8—611no—
1344C2×C8—611no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—2441no—
1348C2×C8—2441no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8C23×D6111yescharacteristic
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C4⋊C4C23×D6111yescharacteristic
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—611no—
1419C22⋊C4—611no—
1420C22⋊C4—611no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—611no—
1424C22⋊C4—611no—
1425C22⋊C4—611no—
1426C22⋊C4—611no—
1427C22⋊C4—611no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—611no—
1459C42—611no—
1460C42—1221no—
1461C42—1221no—
1462C42—1221no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42D4×D6111yescharacteristic
1475C42D4×D6111yescharacteristic
1476C42C23×D6111yescharacteristic
1477C42C23×D6111yescharacteristic
1478C23—611no—
1479C23—611no—
1480C23—1221no—
1481C23—1221no—
1482C23C2×D4×D6111yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—81no—
1488Q8—81no—
1489Q8—81no—
1490Q8—612no—
1491Q8—1221no—
1492Q8—1221no—
1493Q8—1221no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—4881no—
1498Q8—2441no—
1499Q8—2442no—
1500Q8—2442no—
1501D4—1221no—
1502D4—1221no—
1503D4—1221no—
1504D4—1221no—
1505D4—4881no—
1506D4—4881no—
1507D4—4881no—
1508D4—4881no—
1509D4—4881no—
1510D4—2441no—
1511D4—2441no—
1512D4—2441no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—611no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—4881no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—4881no—
1547C2×C4—4881no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4—2442no—
1552C2×C4C2×D4×D6111yescharacteristic
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C24×D6111yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—1221no—
1570C22—1221no—
1571C22—1221no—
1572C22—1221no—
1573C22—1221no—
1574C22—1221no—
1575C22—2441no—
1576C22—2441no—
1577C22—2441no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22C22×D4×D6111yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—1221no—
1596C4—1221no—
1597C4—1222no—
1598C4—1221no—
1599C4—1221no—
1600C4—1221no—
1601C4—1221no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059911yescharacteristic
1609C2—41no—
1610C2—4881no—
1611C2—4881no—
1612C2—2441no—
1613C2—2441no—
1614C2#2145949711yescharacteristic
1615C2#2146059211yescharacteristic
1616C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3237C2
socleC22×C61C23×D4
hypercenter#3237D61
hypocenterC61#62161
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3237

Complements

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

NH ≅ G/Ntype
1. #21460468C2semidirect
2. #21459828C2semidirect
3. #21458748C2semidirect
4. #21458726C2semidirect
5. #21458656C2semidirect
6. #21458641C2semidirect
7. #21458362C2semidirect
8. #21458353C2semidirect
9. #21458333C2semidirect
10. #21458318C2semidirect
11. #21458244C2semidirect
12. #21458225C2semidirect
13. #21458003C2semidirect
14. #21457989C2semidirect
15. #21457883C2semidirect
16. #21457869C2semidirect
17. #21457724C2semidirect
18. #21457709C2semidirect
19. #21457288C2semidirect
20. #21457282C2semidirect
21. #21457150C2semidirect
22. #21457122C2semidirect
23. #21457107C2semidirect
24. #21456055C2semidirect
25. #21456053C2semidirect
26. #21455930C2semidirect
27. #21455656C2semidirect
28. #21455654C2semidirect
29. #21455601C2semidirect
30. #21454960C2semidirect
31. C61×#3237C2semidirect
824. #3237D61semidirect
1011. C61#62161semidirect

Maximal subgroups

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

subgroupindex
#214604682
#214598282
#214587482
#214587262
#214586562
#214586412
#214583622
#214583532
#214583332
#214583182
#214582442
#214582252
#214580032
#214579892
#214578832
#214578692
#214577242
#214577092
#214572882
#214572822
#214571502
#214571222
#214571072
#214560552
#214560532
#214559302
#214556562
#214556542
#214556012
#214549602
C61×#32372
#6216161