Finite Group Databasebeta

← #30570897

Subgroups — #30570897

Order 15616.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460310C211yesmaximal, characteristic, complemented
2#21459618C211yesmaximal, characteristic, complemented
3#21458773C211yesmaximal, characteristic, complemented
4#21458770C211yesmaximal, characteristic, complemented
5#21458768C211yesmaximal, characteristic, complemented
6#21458737C211yesmaximal, characteristic, complemented
7#21458735C211yesmaximal, characteristic, complemented
8#21458726C211yesmaximal, characteristic, complemented
9#21458724C211yesmaximal, characteristic, complemented
10#21458649C211yesmaximal, characteristic, complemented
11#21458649C211yesmaximal, characteristic, complemented
12#21458647C211yesmaximal, characteristic, complemented
13#21458647C211yesmaximal, characteristic, complemented
14#21458602C211yesmaximal, characteristic, complemented
15#21458600C211yesmaximal, characteristic, complemented
16#21458536C211yesmaximal, characteristic, complemented
17#21458535C211yesmaximal, characteristic, complemented
18#21457101C211yesmaximal, characteristic, complemented
19#21457099C211yesmaximal, characteristic, complemented
20#21457090C211yesmaximal, characteristic, complemented
21#21457088C211yesmaximal, characteristic, complemented
22#21457058C211yesmaximal, characteristic, complemented
23#21457034C211yesmaximal, characteristic, complemented
24#21456073C211yesmaximal, characteristic, complemented
25#21456073C211yesmaximal, characteristic, complemented
26#21456001C211yesmaximal, characteristic
27#21455999C211yesmaximal, characteristic
28#21455955C211yesmaximal, characteristic
29#21455920C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3389C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840513—21no—
34#16840492C2211yescharacteristic, complemented
35#16840491C2211yescharacteristic, complemented
36#16840489C2211yescharacteristic, complemented
37#16840489C2211yescharacteristic, complemented
38#16840483—21no—
39#16840482C2211yescharacteristic, complemented
40#16840482C2211yescharacteristic, complemented
41#16840482C2211yescharacteristic, complemented
42#16840472C2211yescharacteristic
43#16840471C2211yescharacteristic
44#16840471C2211yescharacteristic
45#16840468C2211yescharacteristic
46#16840468C2211yescharacteristic
47#16840467—21no—
48#16840466—21no—
49#16840466—21no—
50#16840447—21no—
51D4×Dic122C2211yescharacteristic
52#16840427C2211yescharacteristic
53#16840425—21no—
54#16840393—21no—
55#16840392C2211yescharacteristic
56#16840389C2211yescharacteristic
57#16840387—21no—
58#16840387—21no—
59#16840377C2211yescharacteristic
60#16840377C2211yescharacteristic
61#16840375C2211yescharacteristic
62#16840375C2211yescharacteristic
63#16840372—21no—
64#16840372—21no—
65#16840372—21no—
66#16840318C2211yescharacteristic
67#16840317C2211yescharacteristic
68#16840316C2211yescharacteristic
69#16840294C2211yescharacteristic
70C2×#14519755—21no—
71C22⋊Q8×D61—21no—
72#16840234C2211yescharacteristic
73#16840234C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840169C2211yescharacteristic, complemented
80#16840168C2211yescharacteristic, complemented
81#16840166C2211yescharacteristic, complemented
82#16840166C2211yescharacteristic, complemented
83#16840161C2211yescharacteristic, complemented
84#16840132C2211yescharacteristic, complemented
85#16840132C2211yescharacteristic, complemented
86#16840131C2211yescharacteristic, complemented
87#16840131C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic, complemented
89#16840120C2211yescharacteristic, complemented
90#16840120C2211yescharacteristic, complemented
91#16840120C2211yescharacteristic, complemented
92#16840115C2211yescharacteristic, complemented
93#16840115C2211yescharacteristic, complemented
94#16840114C2211yescharacteristic, complemented
95#16840113C2211yescharacteristic, complemented
96#16840106C2211yescharacteristic
97#16840106C2211yescharacteristic
98#16840106C2211yescharacteristic
99#16840105C2211yescharacteristic
100#16840105C2211yescharacteristic
101#16840105C2211yescharacteristic
102#16840099C2211yescharacteristic
103#16840099C2211yescharacteristic
104#16840094C2211yescharacteristic
105#16840085C2211yescharacteristic
106#16840084C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840072C2211yescharacteristic, complemented
109#16840072C2211yescharacteristic, complemented
110#16840070C2211yescharacteristic, complemented
111#16840070C2211yescharacteristic, complemented
112#16840068C2211yescharacteristic, complemented
113#16840068C2211yescharacteristic, complemented
114#16840066C2211yescharacteristic, complemented
115#16840066C2211yescharacteristic, complemented
116#16840062C2211yescharacteristic, complemented
117#16840062C2211yescharacteristic, complemented
118#16840061C2211yescharacteristic
119#16840060C2211yescharacteristic
120#16840059C2211yescharacteristic
121#16840059C2211yescharacteristic
122#16840058C2211yescharacteristic, complemented
123#16840056C2211yescharacteristic, complemented
124#16840056C2211yescharacteristic, complemented
125#16840056C2211yescharacteristic, complemented
126#16840056C2211yescharacteristic, complemented
127#16840054C2211yescharacteristic, complemented
128#16840051C2211yescharacteristic
129#16840050C2211yescharacteristic
130#16840046C2211yescharacteristic, complemented
131#16840046C2211yescharacteristic, complemented
132#16840046C2211yescharacteristic, complemented
133#16840046C2211yescharacteristic, complemented
134#16840042C2211yescharacteristic, complemented
135#16840041C2211yescharacteristic
136#16840040C2211yescharacteristic
137#16840039C2211yescharacteristic
138#16839976C2211yescharacteristic
139#16839976C2211yescharacteristic
140#16839976C2211yescharacteristic
141#16839975C2211yescharacteristic
142#16839975C2211yescharacteristic
143#16839975C2211yescharacteristic
144#16839968C2211yescharacteristic
145#16839968C2211yescharacteristic
146#16839968C2211yescharacteristic
147#16839967C2211yescharacteristic
148#16839967C2211yescharacteristic
149#16839967C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839914C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839892C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic
162#16839872C2211yescharacteristic
163#16839864C2211yescharacteristic
164#16839864C2211yescharacteristic
165#16839862C2211yescharacteristic
166#16839862C2211yescharacteristic
167#16839861C2211yescharacteristic
168#16839861C2211yescharacteristic
169#16839861C2211yescharacteristic
170#16839861C2211yescharacteristic
171#16839859C2211yescharacteristic
172#16839859C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839853C2211yescharacteristic
176#16839853C2211yescharacteristic
177C4×#11758190C2211yescharacteristic
178#16839849C2211yescharacteristic
179#16839849C2211yescharacteristic
180C4×#11758200C2211yescharacteristic
181C4×#11758199C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#499C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C22×Dic122—21no—
204C2×Q8×D61—21no—
205C2×D4×D61C2311yescharacteristic
206C22×C4×D61—21no—
207C2×#11758190C2311yescharacteristic
208C2×#11758190C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776D411yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775—21no—
230#14519775—21no—
231#14519775—21no—
232#14519775D411yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519768—21no—
249#14519768—21no—
250#14519768—21no—
251#14519768—21no—
252#14519768—21no—
253#14519768—21no—
254#14519768—21no—
255#14519768—21no—
256#14519768C2311yescharacteristic
257#14519768C2311yescharacteristic
258#14519768C2311yescharacteristic
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767D411yescharacteristic
266#14519767D411yescharacteristic
267#14519764C2311yescharacteristic
268#14519764C2311yescharacteristic
269#14519764C2311yescharacteristic
270#14519763—21no—
271#14519763—21no—
272#14519760—21no—
273#14519760—21no—
274#14519759—21no—
275#14519757—21no—
276#14519757—21no—
277#14519757—21no—
278#14519757D411yescharacteristic
279#14519757C2311yescharacteristic
280#14519757C2311yescharacteristic
281#14519757C2311yescharacteristic
282#14519756—21no—
283#14519756—21no—
284#14519756—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
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#14519755D411yescharacteristic
303#14519755D411yescharacteristic
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519753—21no—
311#14519753—21no—
312#14519753—21no—
313#14519753—21no—
314#14519753D411yescharacteristic
315#14519748C2311yescharacteristic
316Q8×Dic61—21no—
317Q8×Dic61—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324#14519742—21no—
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736—21no—
352#14519736—21no—
353#14519736—21no—
354#14519736—21no—
355#14519735—21no—
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734C2311yescharacteristic
359#14519734C2311yescharacteristic
360C2×#11758196—21no—
361C2×#11758196—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C2×#11758198—21no—
367C2×#11758198—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C42×D61C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519708C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×D8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442C22⋊Q8×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C2×C4⋊C4×C61—21no—
456C2×C4⋊C4×C61—21no—
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495Q8×D61—82no—
496D4×D61—22no—
497D4×D61—22no—
498C2×D244C2411yescharacteristic
499C2×C4×D61—21no—
500C2×C4×D61—21no—
501C2×C4×D61—21no—
502C2×C4×D61—21no—
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—82no—
507C2×C4×D61C2×D411yescharacteristic
508C2×C4×D61C2×D411yescharacteristic
509C2×C4×D61C2411yescharacteristic
510C2×Dic122—21no—
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—82no—
518C2×Dic122C2×D411yescharacteristic
519C2×Dic122C2×D411yescharacteristic
520C2×Dic122C2×D411yescharacteristic
521C2×Dic122C2411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524D8×C61—22no—
525C2×C8×C61C2411yescharacteristic
526C2×C8×C61C2411yescharacteristic
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
540C4⋊C4×C61C2×D411yescharacteristic
541C4⋊C4×C61C2×D411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C42×C61C2411yescharacteristic
555C42×C61C2411yescharacteristic
556C42×C61C2411yescharacteristic
557C22⋊Dic61—21no—
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567#11758200—22no—
568#11758200—22no—
569#11758200—22no—
570#11758199—22no—
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#11758198C2×D411yescharacteristic
583#11758198C2×D411yescharacteristic
584#11758198C2×D411yescharacteristic
585#11758198C2×D411yescharacteristic
586C4⋊Dic61—21no—
587C4⋊Dic61—21no—
588C4⋊Dic61—21no—
589C4⋊Dic61—21no—
590C4⋊Dic61—21no—
591C4⋊Dic61—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2×D411yescharacteristic
601C4⋊Dic61C2×D411yescharacteristic
602C4⋊Dic61C2411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606#11758196—21no—
607#11758196—21no—
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659#11758190—22no—
660#11758190—22no—
661#11758190—22no—
662C23×C61—21no—
663C23×C61—21no—
664C22×D61—21no—
665C22×D61—24no—
666C22×D61—81no—
667C22×D61—81no—
668C22×D61C22×D411yescharacteristic
669Q8×C61—41no—
670Q8×C61—81no—
671Q8×C61—81no—
672D4×C61—21no—
673D4×C61—21no—
674D4×C61—21no—
675D4×C612−1+412yes—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—42no—
683C2×C4×C61—81no—
684C2×C4×C61—81no—
685C2×C4×C61—81no—
686C2×C4×C61—81no—
687C2×C4×C61—81no—
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C2511yescharacteristic
695C22⋊D61—24no—
696C22⋊D61—81no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—42no—
705C2×Dic61—81no—
706C2×Dic61—81no—
707C2×Dic61C22×D411yescharacteristic
708C2×Dic61C22×D411yescharacteristic
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714D244—21no—
715D2442−1+412yes—
716C4×D61—21no—
717C4×D61—21no—
718C4×D61—41no—
719C4×D61—41no—
720C4×D61—42no—
721C4×D61—81no—
722C4×D61—81no—
723C4×D61—81no—
724C4×D61—81no—
725C4×D61—81no—
726C4×D61—81no—
727Dic122—21no—
728Dic122—21no—
729Dic122—21no—
730Dic122—21no—
731Dic122—21no—
732Dic122—21no—
733Dic122—41no—
734Dic122—41no—
735Dic122—41no—
736Dic122—42no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic122—81no—
743C8×C61—21no—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747#92418—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#61873—611nomaximal, Sylow
752C22×C61—22no—
753C22×C61—41no—
754C22×C61—41no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61C23×D411yescharacteristic
759C2×D61—21no—
760C2×D61—21no—
761C2×D61—21no—
762C2×D61—22no—
763C2×D61—41no—
764C2×D61—41no—
765C2×D61—84no—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—21no—
771C4×C61—21no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61—41no—
776C4×C61—41no—
777C4×C61—41no—
778C4×C61C2×2−1+411yescharacteristic
779C4×C61C2×2−1+411yescharacteristic
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—21no—
784Dic61—21no—
785Dic61—21no—
786Dic61—21no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793Dic61—41no—
794#3555—611no—
795#3501—611no—
796#3389—611no—
797#3389D6111yescharacteristic, complemented
798#3388—611no—
799#3388—611no—
800#3386—611no—
801#3386—611no—
802#3385—611no—
803#3385—611no—
804#3376—611no—
805#3376—611no—
806#3376—611no—
807#3376—611no—
808#3372—611no—
809#3372—611no—
810#3367—611no—
811#3367—611no—
812#3243—611no—
813#3243—611no—
814#3242—611no—
815#3242—611no—
816#3240—611no—
817#3237—611no—
818#3123—611no—
819#3123—611no—
820#3118—611no—
821#3118—611no—
822#3114—611no—
823#3110—611no—
824#2987—611no—
825C2×C61—42no—
826C2×C61—81no—
827C2×C61#348611yescharacteristic
828C2×C61#358511yescharacteristic
829C2×C61#358611yescharacteristic
830D61—41no—
831D61—42no—
832#563—1221no—
833#563—1221no—
834Q82—611no—
835#557—611no—
836#557—611no—
837#557—611no—
838#556—611no—
839#556—611no—
840#556—611no—
841#556—1221no—
842#554—611no—
843#554—611no—
844#554—611no—
845#554—611no—
846#554—611no—
847#554—1221no—
848#554—1221no—
849#554—1221no—
850#554C2×D6111yescharacteristic
851#554C2×D6111yescharacteristic, complemented
852#552—1221no—
853D4×Q8—611no—
854D4×Q8—611no—
855D4×Q8—1221no—
856#544—611no—
857#544—611no—
858#544—1221no—
859#543—1221no—
860#543—1221no—
861#542—611no—
862#542—611no—
863#541—611no—
864#541—611no—
865#541—1221no—
866#541—1221no—
867#541—1221no—
868#533—611no—
869#533—611no—
870#533—611no—
871#529—611no—
872C2×C22⋊Q8—1221no—
873C2×C22⋊Q8—1221no—
874#518—611no—
875#518—611no—
876C2×C4×D4—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501—611no—
883#501C2×D6111yescharacteristic, complemented
884#501C2×D6111yescharacteristic, complemented
885#500—611no—
886#500—611no—
887#499—611no—
888#499C2×D6111yescharacteristic, complemented
889#491—611no—
890#491—611no—
891#491—611no—
892#491—611no—
893#489—611no—
894#489—611no—
895#489—611no—
896#489—611no—
897#488—611no—
898#488—611no—
899#487—611no—
900#487—611no—
901#485—611no—
902#485—611no—
903#485—611no—
904#485—611no—
905#485—611no—
906#485—611no—
907#484—611no—
908#484—611no—
909#483—611no—
910#482—611no—
911#482—611no—
912#480—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478C2×D6111yescharacteristic
928#478C2×D6111yescharacteristic
929#478C2×D6111yescharacteristic, complemented
930#478C2×D6111yescharacteristic, complemented
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#476—611no—
938#476—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
947#474C2×D6111yescharacteristic
948#474C2×D6111yescharacteristic, complemented
949#463—611no—
950#463—611no—
951#463—611no—
952#463—611no—
953#463—611no—
954#463—611no—
955#461—611no—
956#461—611no—
957#461—611no—
958#461—611no—
959#461—611no—
960#461—611no—
961#450—611no—
962#450—611no—
963#450—611no—
964#447—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446—611no—
969#446—611no—
970#446—611no—
971#446—611no—
972#446C2×D6111yescharacteristic, complemented
973#442—611no—
974#442—611no—
975#442C2×D6111yescharacteristic
976#442C2×D6111yescharacteristic
977#440—611no—
978#440—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989C4×SD16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994C4×SD16—611no—
995C4×D8—611no—
996C4×D8C2×D6111yescharacteristic
997#433—611no—
998#433—611no—
999#433—611no—
1000#433—611no—
1001#432—611no—
1002#432—611no—
1003C61#6187311yescharacteristic, complemented, Sylow
1004C22×Q8—1221no—
1005C22×Q8—1221no—
1006C22×D4—611no—
1007C23×C4—1221no—
1008C2×SD16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16—611no—
1013C2×SD16—611no—
1014C2×D8—611no—
1015C2×D8C22×D6111yescharacteristic
1016C4⋊Q8—611no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—611no—
1027C4⋊Q8—611no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8C22×D6111yescharacteristic
1036C4⋊Q8C22×D6111yescharacteristic
1037#126—1221no—
1038#126—1221no—
1039#126—1221no—
1040#126—1221no—
1041#126—1221no—
1042#126—1221no—
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#125—611no—
1051#125—611no—
1052#125—611no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—1221no—
1058#125—1221no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125C22×D6111yescharacteristic
1072#125C22×D6111yescharacteristic
1073#125C22×D6111yescharacteristic
1074#125C22×D6111yescharacteristic
1075#124—611no—
1076#124—611no—
1077#124—611no—
1078#124—1221no—
1079#124—1221no—
1080#123—1221no—
1081#123—1221no—
1082#123—1221no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—611no—
1090C22⋊Q8—611no—
1091C22⋊Q8—611no—
1092C22⋊Q8—611no—
1093C22⋊Q8—611no—
1094C22⋊Q8—611no—
1095C22⋊Q8—611no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
1103C22⋊Q8—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129#121—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8C22×D6111yescharacteristic
1150C4×D4—611no—
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—1221no—
1160C4×D4—1221no—
1161C4×D4—1221no—
1162C4×D4—1221no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4C22×D6111yescharacteristic
1167C4×D4C22×D6111yescharacteristic
1168C4×D4C22×D6111yescharacteristic
1169C4×D4C22×D6111yescharacteristic
1170C4×D4C22×D6111yescharacteristic
1171C4×D4C22×D6111yescharacteristic
1172#117—611no—
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—1221no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181C2×C4⋊C4—21no—
1182C2×C4⋊C4—21no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—1221no—
1185C2×C4⋊C4—1221no—
1186C2×C4⋊C4—1221no—
1187C2×C4⋊C4—1221no—
1188C2×C4⋊C4—1221no—
1189C2×C22⋊C4—1221no—
1190C2×C22⋊C4—1221no—
1191C2×C22⋊C4—1221no—
1192C2×C22⋊C4—1221no—
1193C2×C22⋊C4—1221no—
1194C2×C42—611no—
1195#107—611no—
1196#107—611no—
1197#107—611no—
1198#107—611no—
1199#107—611no—
1200#107—611no—
1201#107—611no—
1202#107—611no—
1203#107—611no—
1204#107C22×D6111yescharacteristic
1205#107C22×D6111yescharacteristic
1206#107C22×D6111yescharacteristic
1207#107C22×D6111yescharacteristic
1208#107C22×D6111yescharacteristic
1209#106—611no—
1210#106—611no—
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106C22×D6111yescharacteristic
1216#106C22×D6111yescharacteristic
1217#106C22×D6111yescharacteristic
1218#106C22×D6111yescharacteristic
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8C22×D6111yescharacteristic
1229C4⋊C8C22×D6111yescharacteristic
1230C4⋊C8C22×D6111yescharacteristic
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103—611no—
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—611no—
1257#102C22×D6111yescharacteristic
1258#102C22×D6111yescharacteristic
1259#102C22×D6111yescharacteristic
1260#102C22×D6111yescharacteristic
1261#102C22×D6111yescharacteristic
1262#102C22×D6111yescharacteristic
1263C22⋊C8—611no—
1264C22⋊C8—611no—
1265C22⋊C8—611no—
1266C22⋊C8—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97—611no—
1273#97C22×D6111yescharacteristic
1274#97C22×D6111yescharacteristic
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8—611no—
1278C4×C8C22×D6111yescharacteristic
1279C24—1221no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—611no—
1283C2×Q8—611no—
1284C2×Q8—611no—
1285C2×Q8—611no—
1286C2×Q8—611no—
1287C2×Q8—611no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—4882no—
1296C2×Q8—4882no—
1297C2×Q8D4×D6111yescharacteristic
1298C2×D4—611no—
1299C2×D4—1221no—
1300C2×D4—1222no—
1301C2×D4—1222no—
1302C2×D4—1221no—
1303C2×D4C23×D6111yescharacteristic
1304C2×D4C23×D6111yescharacteristic
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—1221no—
1315C22×C4—1221no—
1316C22×C4—1221no—
1317C22×C4—1221no—
1318C22×C4—1221no—
1319C22×C4—1221no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—4882no—
1325SD16—1222no—
1326SD16—1222no—
1327SD16—1222no—
1328SD16—1222no—
1329SD16—1222no—
1330SD16—1222no—
1331D8—22no—
1332D8—1222no—
1333C2×C8—611no—
1334C2×C8—611no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8C23×D6111yescharacteristic
1338C2×C8C23×D6111yescharacteristic
1339C2×C8C23×D6111yescharacteristic
1340C2×C8C23×D6111yescharacteristic
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—611no—
1352C4⋊C4—611no—
1353C4⋊C4—611no—
1354C4⋊C4—611no—
1355C4⋊C4—611no—
1356C4⋊C4—611no—
1357C4⋊C4—611no—
1358C4⋊C4—611no—
1359C4⋊C4—611no—
1360C4⋊C4—611no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—1221no—
1369C4⋊C4—1221no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊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⋊C4D4×D6111yescharacteristic
1405C4⋊C4D4×D6111yescharacteristic
1406C4⋊C4D4×D6111yescharacteristic
1407C4⋊C4C23×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—611no—
1420C22⋊C4—611no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—1221no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C42—611no—
1445C42—611no—
1446C42—611no—
1447C42—611no—
1448C42—611no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42—1221no—
1455C42—1221no—
1456C42—1221no—
1457C42—1221no—
1458C42—1221no—
1459C42—1221no—
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C42C23×D6111yescharacteristic
1463C23—21no—
1464C23—21no—
1465C23—611no—
1466C23—1224no—
1467C23—1221no—
1468C23—4881no—
1469C23—4881no—
1470Q8—41no—
1471Q8—81no—
1472Q8—81no—
1473Q8—1221no—
1474Q8—1221no—
1475Q8—1221no—
1476Q8—1221no—
1477Q8—1221no—
1478Q8—1221no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—4881no—
1482Q8—4881no—
1483Q8—4881no—
1484Q8—4881no—
1485Q8—2441no—
1486Q8—2441no—
1487Q8—2441no—
1488Q8—2442no—
1489D4—21no—
1490D4—21no—
1491D4—21no—
1492D4—612no—
1493D4—1224no—
1494D4—1221no—
1495D4—4881no—
1496D4#1451982512yes—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—42no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—611no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—611no—
1515C2×C4—611no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—1221no—
1524C2×C4—1221no—
1525C2×C4—4881no—
1526C2×C4—4881no—
1527C2×C4—4881no—
1528C2×C4—4881no—
1529C2×C4—4881no—
1530C2×C4—4881no—
1531C2×C4—4881no—
1532C2×C4—4881no—
1533C2×C4—2441no—
1534C2×C4—2441no—
1535C2×C4—2442no—
1536C2×C4—2442no—
1537C2×C4C2×D4×D6111yescharacteristic
1538C2×C4C2×D4×D6111yescharacteristic
1539C2×C4C2×D4×D6111yescharacteristic
1540C2×C4C2×D4×D6111yescharacteristic
1541C2×C4C2×D4×D6111yescharacteristic
1542C2×C4C2×D4×D6111yescharacteristic
1543C2×C4C24×D6111yescharacteristic
1544C8—21no—
1545C8—21no—
1546C8—21no—
1547C8—21no—
1548C8—1221no—
1549C8—1221no—
1550C8—1221no—
1551C8—1221no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—1221no—
1559C22—1222no—
1560C22—1221no—
1561C22—1221no—
1562C22—4884no—
1563C22—2441no—
1564C22—2441no—
1565C22C22×D4×D6111yescharacteristic
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—1221no—
1579C4—1221no—
1580C4—1221no—
1581C4—1221no—
1582C4—1221no—
1583C4—1221no—
1584C4—1221no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C4—2441no—
1591C4—2441no—
1592C42−1+4×D6111yescharacteristic
1593C4C2×#1451982511yescharacteristic
1594C2—42no—
1595C2—81no—
1596C2—2441no—
1597C2—2442no—
1598C2#2145946911yescharacteristic
1599C2#2146059411yescharacteristic
1600C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
prime radical#16839894C22
hypercenter#3389D61
hypocenterC61#61873
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21460310C2semidirect
2. #21459618C2semidirect
3. #21458773C2semidirect
4. #21458770C2semidirect
5. #21458768C2semidirect
6. #21458737C2semidirect
7. #21458735C2semidirect
8. #21458726C2semidirect
9. #21458724C2semidirect
10. #21458649C2semidirect
11. #21458649C2semidirect
12. #21458647C2semidirect
13. #21458647C2semidirect
14. #21458602C2semidirect
15. #21458600C2semidirect
16. #21458536C2semidirect
17. #21458535C2semidirect
18. #21457101C2semidirect
19. #21457099C2semidirect
20. #21457090C2semidirect
21. #21457088C2semidirect
22. #21457058C2semidirect
23. #21457034C2semidirect
24. #21456073C2semidirect
25. #21456073C2semidirect
29. #21455920C2semidirect
30. #21454922C2semidirect
31. C61×#3389C2semidirect
34. #16840492C22semidirect
35. #16840491C22semidirect
36. #16840489C22semidirect
37. #16840489C22semidirect
39. #16840482C22semidirect
40. #16840482C22semidirect
41. #16840482C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840169C22semidirect
80. #16840168C22semidirect
81. #16840166C22semidirect
82. #16840166C22semidirect
83. #16840161C22semidirect
84. #16840132C22semidirect
85. #16840132C22semidirect
86. #16840131C22semidirect
87. #16840131C22semidirect
88. #16840120C22semidirect
89. #16840120C22semidirect
90. #16840120C22semidirect
91. #16840120C22semidirect
92. #16840115C22semidirect
93. #16840115C22semidirect
94. #16840114C22semidirect
95. #16840113C22semidirect
108. #16840072C22semidirect
109. #16840072C22semidirect
110. #16840070C22semidirect
111. #16840070C22semidirect
112. #16840068C22semidirect
113. #16840068C22semidirect
114. #16840066C22semidirect
115. #16840066C22semidirect
116. #16840062C22semidirect
117. #16840062C22semidirect
122. #16840058C22semidirect
123. #16840056C22semidirect
124. #16840056C22semidirect
125. #16840056C22semidirect
126. #16840056C22semidirect
127. #16840054C22semidirect
130. #16840046C22semidirect
131. #16840046C22semidirect
132. #16840046C22semidirect
133. #16840046C22semidirect
134. #16840042C22semidirect
154. #16839893C22semidirect
155. #16839892C22semidirect
156. #16839891C22semidirect
157. #16839891C22semidirect
158. #16839890C22semidirect
159. #16839890C22semidirect
160. #16839889C22semidirect
189. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#499C22semidirect
195. C61×#478C22semidirect
196. C61×#478C22semidirect
198. C61×#474C22semidirect
199. C61×#446C22semidirect
797. #3389D61semidirect
851. #554C2×D61semidirect
883. #501C2×D61semidirect
884. #501C2×D61semidirect
888. #499C2×D61semidirect
929. #478C2×D61semidirect
930. #478C2×D61semidirect
948. #474C2×D61semidirect
972. #446C2×D61semidirect
1003. C61#61873semidirect

Maximal subgroups

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

subgroupindex
#214603102
#214596182
#214587732
#214587702
#214587682
#214587372
#214587352
#214587262
#214587242
#214586492
#214586472
#214586022
#214586002
#214585362
#214585352
#214571012
#214570992
#214570902
#214570882
#214570582
#214570342
#214560732
#214560012
#214559992
#214559552
#214559202
#214549222
C61×#33892
#6187361