Finite Group Databasebeta

← #30570247

Subgroups — #30570247

Order 15616.

1744 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459914C211yesmaximal, characteristic, complemented
2#554×D61C211yesmaximal, characteristic, complemented
3#21458771C211yesmaximal, characteristic, complemented
4#21458769C211yesmaximal, characteristic, complemented
5#21458766C211yesmaximal, characteristic, complemented
6#21458764C211yesmaximal, characteristic, complemented
7#21458721C211yesmaximal, characteristic, complemented
8#21458719C211yesmaximal, characteristic, complemented
9#21458697C211yesmaximal, characteristic, complemented
10#21458695C211yesmaximal, characteristic, complemented
11#21458645C211yesmaximal, characteristic, complemented
12#21458643C211yesmaximal, characteristic, complemented
13#21458640C211yesmaximal, characteristic, complemented
14#21458597C211yesmaximal, characteristic, complemented
15#21458595C211yesmaximal, characteristic, complemented
16#21458465C211yesmaximal, characteristic, complemented
17#21458463C211yesmaximal, characteristic, complemented
18#21457036C211yesmaximal, characteristic, complemented
19#21457023C211yesmaximal, characteristic, complemented
20#21457020C211yesmaximal, characteristic, complemented
21#21456985C211yesmaximal, characteristic, complemented
22#21456982C211yesmaximal, characteristic, complemented
23#21456962C211yesmaximal, characteristic, complemented
24#21455956C211yesmaximal, characteristic
25#21455955C211yesmaximal, characteristic
26#21455916C211yesmaximal, characteristic, complemented
27#21455865C211yesmaximal, characteristic
28#21455826C211yesmaximal, characteristic, complemented
29#21455825C211yesmaximal, characteristic, complemented
30#21454905C211yesmaximal, characteristic, complemented
31C61×#3376C211yesmaximal, characteristic, complemented
32#16840490C2211yescharacteristic, complemented
33#16840488C2211yescharacteristic, complemented
34#16840488C2211yescharacteristic, complemented
35#16840487C2211yescharacteristic, complemented
36#16840481C2211yescharacteristic, complemented
37#16840481C2211yescharacteristic, complemented
38#16840473C2211yescharacteristic
39#16840472C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840471C2211yescharacteristic
42#16840470—21no—
43#16840469C2211yescharacteristic
44#16840468C2211yescharacteristic
45#16840468C2211yescharacteristic
46#16840467—21no—
47#16840466—21no—
48#16840466—21no—
49#16840451—21no—
50#16840448—21no—
51#16840448—21no—
52D4×Dic122C2211yescharacteristic, complemented
53#16840425—21no—
54#16840372—21no—
55#16840369—21no—
56#16840369—21no—
57#16840317C2211yescharacteristic
58#16840316C2211yescharacteristic
59#16840316C2211yescharacteristic
60C4⋊Q8×D61C2211yescharacteristic
61#16840294C2211yescharacteristic
62#16840291C2211yescharacteristic
63#16840291C2211yescharacteristic
64#125×D61C2211yescharacteristic
65#125×D61C2211yescharacteristic
66C22⋊Q8×D61—21no—
67C22⋊Q8×D61—21no—
68C22⋊Q8×D61—21no—
69#16840239—21no—
70C4×Q8×D61C2211yescharacteristic
71C4×D4×D61C2211yescharacteristic
72C4×D4×D61C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74C2×C4⋊C4×D61—21no—
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840171C2211yescharacteristic, complemented
78#16840170C2211yescharacteristic, complemented
79#16840169C2211yescharacteristic, complemented
80#16840168C2211yescharacteristic, complemented
81#16840164C2211yescharacteristic, complemented
82#16840163C2211yescharacteristic, complemented
83#16840162C2211yescharacteristic, complemented
84#16840161C2211yescharacteristic, complemented
85#16840159C2211yescharacteristic, complemented
86#16840159C2211yescharacteristic, complemented
87#16840130C2211yescharacteristic, complemented
88#16840129C2211yescharacteristic, complemented
89#16840129C2211yescharacteristic, complemented
90#16840121C2211yescharacteristic, complemented
91#16840116C2211yescharacteristic, complemented
92#16840115C2211yescharacteristic, complemented
93#16840115C2211yescharacteristic, complemented
94#16840111C2211yescharacteristic, complemented
95#16840111C2211yescharacteristic, complemented
96#16840099C2211yescharacteristic
97#16840096C2211yescharacteristic
98#16840096C2211yescharacteristic
99#16840094C2211yescharacteristic
100#16840094C2211yescharacteristic
101#16840091C2211yescharacteristic
102#16840091C2211yescharacteristic
103#16840091C2211yescharacteristic
104#16840091C2211yescharacteristic
105#16840079C2211yescharacteristic
106#16840074C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840071C2211yescharacteristic, complemented
109#16840071C2211yescharacteristic, complemented
110#16840071C2211yescharacteristic, complemented
111#16840070C2211yescharacteristic, complemented
112#16840070C2211yescharacteristic, complemented
113#16840069C2211yescharacteristic, complemented
114#16840067C2211yescharacteristic, complemented
115#16840067C2211yescharacteristic, complemented
116#16840067C2211yescharacteristic, complemented
117#16840066C2211yescharacteristic, complemented
118#16840066C2211yescharacteristic, complemented
119#16840064C2211yescharacteristic, complemented
120#16840063C2211yescharacteristic
121#16840063C2211yescharacteristic
122#16840062C2211yescharacteristic
123#16840062C2211yescharacteristic
124#16840062C2211yescharacteristic, complemented
125#16840061C2211yescharacteristic
126#16840060C2211yescharacteristic
127#16840060C2211yescharacteristic, complemented
128#16840055C2211yescharacteristic, complemented
129#16840055C2211yescharacteristic, complemented
130#16840053C2211yescharacteristic
131#16840052C2211yescharacteristic
132#16840051C2211yescharacteristic
133#16840050C2211yescharacteristic
134#16840050C2211yescharacteristic, complemented
135#16840050C2211yescharacteristic, complemented
136#16840048C2211yescharacteristic, complemented
137#16840047C2211yescharacteristic, complemented
138#16840044C2211yescharacteristic, complemented
139#16840041C2211yescharacteristic
140#16840040C2211yescharacteristic
141#16839976C2211yescharacteristic
142#16839975C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839974C2211yescharacteristic
145#16839966C2211yescharacteristic
146#16839966C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839965C2211yescharacteristic
149#16839964C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839911C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839891C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839890C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159C8×Dic122C2211yescharacteristic, complemented
160#16839886C2211yescharacteristic, complemented
161#16839874C2211yescharacteristic
162#16839872C2211yescharacteristic
163#16839871C2211yescharacteristic
164#16839865C2211yescharacteristic
165#16839864C2211yescharacteristic
166#16839864C2211yescharacteristic
167#16839863C2211yescharacteristic
168#16839862C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839860C2211yescharacteristic
171C4×#11758190C2211yescharacteristic
172SD16×Dic61C2211yescharacteristic
173SD16×Dic61C2211yescharacteristic
174SD16×Dic61C2211yescharacteristic
175C4×#11758201C2211yescharacteristic
176C4×#11758200C2211yescharacteristic
177#16839847C2211yescharacteristic
178#16839847C2211yescharacteristic
179#16839847C2211yescharacteristic
180D8×Dic61C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839818C2211yescharacteristic
183#16839817C2211yescharacteristic
184#16839817C2211yescharacteristic
185#16839814C2211yescharacteristic
186#16839814C2211yescharacteristic
187#16839813C2211yescharacteristic
188C61×#556C2211yescharacteristic, complemented
189C61×#554C2211yescharacteristic
190C61×#491C2211yescharacteristic, complemented
191C61×#489C2211yescharacteristic, complemented
192C61×#488C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#475C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×SD16×C61C2211yescharacteristic
203C22×Dic122—21no—
204C2×Q8×D61—21no—
205C2×Q8×D61D411yescharacteristic
206C2×D4×D61C2311yescharacteristic
207C22×C4×D61—21no—
208C22×C4×D61—21no—
209C22×C4×D61—21no—
210C2×#11758190C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758201C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519775—21no—
226#14519775C2311yescharacteristic
227#14519775C2311yescharacteristic
228#14519770—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519769—21no—
236#14519769—21no—
237#14519769C2311yescharacteristic
238#14519769C2311yescharacteristic
239#14519769C2311yescharacteristic
240#14519769C2311yescharacteristic
241#14519768—21no—
242#14519768—21no—
243#14519768—21no—
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519764C2311yescharacteristic
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519757—21no—
265#14519757—21no—
266#14519757—21no—
267#14519757—21no—
268#14519757C2311yescharacteristic
269#14519756—21no—
270#14519756—21no—
271#14519756—21no—
272#14519756—21no—
273#14519755—21no—
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519753—21no—
292#14519753—21no—
293#14519753—21no—
294#14519753C2311yescharacteristic
295#14519753C2311yescharacteristic
296#14519748C2311yescharacteristic
297Q8×Dic61D411yescharacteristic
298Q8×Dic61C2311yescharacteristic
299Q8×Dic61C2311yescharacteristic
300Q8×Dic61C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302C4×Dic122—21no—
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122—21no—
306C4×Dic122C2311yescharacteristic
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742D411yescharacteristic
316#14519742D411yescharacteristic
317#14519742D411yescharacteristic
318C4×D244C2311yescharacteristic
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321D4×Dic61C2311yescharacteristic
322D4×Dic61C2311yescharacteristic
323D4×Dic61C2311yescharacteristic
324D4×Dic61C2311yescharacteristic
325D4×Dic61C2311yescharacteristic
326#14519739C2311yescharacteristic
327#14519739C2311yescharacteristic
328#14519739C2311yescharacteristic
329C4×C22⋊D61—21no—
330C4×C22⋊D61—21no—
331C4×C22⋊D61—21no—
332C4×C22⋊D61—21no—
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519736—21no—
339#14519735—21no—
340#14519734—21no—
341#14519734—21no—
342#14519733—21no—
343#14519733—21no—
344#14519733—21no—
345#14519733—21no—
346C2×C4⋊Dic61—21no—
347C2×#11758196—21no—
348C2×#11758196—21no—
349C4⋊C4×D61—21no—
350C4⋊C4×D61—21no—
351C4⋊C4×D61—21no—
352C4⋊C4×D61—21no—
353C4⋊C4×D61—21no—
354C4⋊C4×D61—21no—
355C4⋊C4×D61—21no—
356C4⋊C4×D61—21no—
357C4⋊C4×D61—21no—
358C4⋊C4×D61D411yescharacteristic
359C4⋊C4×D61D411yescharacteristic
360C4⋊C4×D61D411yescharacteristic
361C4⋊C4×D61C2311yescharacteristic
362C4⋊C4×D61C2311yescharacteristic
363C4⋊C4×D61C2311yescharacteristic
364C22⋊C4×D61—21no—
365C22⋊C4×D61—21no—
366C22⋊C4×D61—21no—
367C42×D61C2311yescharacteristic
368C42×D61C2311yescharacteristic
369C42×D61C2311yescharacteristic
370#14519711C2311yescharacteristic
371#14519711C2311yescharacteristic
372#14519711C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519710C2311yescharacteristic
375#14519710C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519709C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430C4×#92418C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#126×C61—21no—
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#124×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×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×C61C2×D411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496Q8×D61—42no—
497Q8×D61—82no—
498D4×D61—22no—
499D4×D61—22no—
500C2×D244C2411yescharacteristic
501C2×C4×D61—21no—
502C2×C4×D61—21no—
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—44no—
511C2×C4×D61—82no—
512C2×C4×D61—82no—
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2411yescharacteristic
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—44no—
527C2×Dic122C2×D411yescharacteristic
528C2×Dic122C2×D411yescharacteristic
529C2×Dic122C2×D411yescharacteristic
530C2×Dic122C2411yescharacteristic
531SD16×C61—22no—
532SD16×C61—22no—
533D8×C61—22no—
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C2×C8×C61C2411yescharacteristic
537C2×C8×C61C2411yescharacteristic
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2×D411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C42×C61—21no—
563C42×C61—21no—
564C42×C61C2411yescharacteristic
565C42×C61C2411yescharacteristic
566C42×C61C2411yescharacteristic
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575#11758201—22no—
576#11758201—22no—
577#11758200—22no—
578#11758199—22no—
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—
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⋊Dic61—21no—
600C4⋊Dic61C2×D411yescharacteristic
601C4⋊Dic61C2×D411yescharacteristic
602C4⋊Dic61C2×D411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
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#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#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C4×Dic61C2411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664#11758190—22no—
665C23×C61—21no—
666C23×C61—21no—
667C22×D61—24no—
668C22×D61—21no—
669C22×D61—42no—
670C22×D61—42no—
671C22×D61C22×D411yescharacteristic
672Q8×C61—21no—
673Q8×C61—21no—
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—41no—
677Q8×C61—81no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—21no—
681D4×C612−1+412yes—
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—42no—
689C2×C4×C61—42no—
690C2×C4×C61—81no—
691C2×C4×C61—81no—
692C2×C4×C61C22×D411yescharacteristic
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—24no—
700C22⋊D61—42no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—42no—
709C2×Dic61—42no—
710C2×Dic61—42no—
711C2×Dic61—81no—
712C2×Dic61—81no—
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715C2×Dic61C22×D411yescharacteristic
716C2×Dic61C22×D411yescharacteristic
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720D244—21no—
721D2442−1+412yes—
722C4×D61—22no—
723C4×D61—22no—
724C4×D61—22no—
725C4×D61—21no—
726C4×D61—21no—
727C4×D61—22no—
728C4×D61—41no—
729C4×D61—41no—
730C4×D61—42no—
731C4×D61—42no—
732C4×D61—42no—
733C4×D61—42no—
734C4×D61—42no—
735C4×D61—81no—
736C4×D61—81no—
737C4×D61—81no—
738C4×D61—81no—
739Dic122—22no—
740Dic122—22no—
741Dic122—21no—
742Dic122—21no—
743Dic122—41no—
744Dic122—42no—
745Dic122—42no—
746Dic122—42no—
747Dic122—81no—
748Dic122—81no—
749Dic122—81no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753C8×C61—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#92418—21no—
758#61841—611nomaximal, Sylow
759C22×C61—22no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61C23×D411yescharacteristic
766C2×D61—21no—
767C2×D61—21no—
768C2×D61—22no—
769C2×D61—48no—
770C2×D61—41no—
771C2×D61—41no—
772C2×D61#57712yes—
773C4×C61—21no—
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×C61C2×2−1+411yescharacteristic
786C4×C61C2×2−1+411yescharacteristic
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—21no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61#57512yes—
801#3523—611no—
802C2×#554—611no—
803#3388—611no—
804#3388—611no—
805#3388—611no—
806#3388—611no—
807#3384—611no—
808#3384—611no—
809#3381—611no—
810#3381—611no—
811#3376—611no—
812#3376—611no—
813#3376—611no—
814#3376D6111yescharacteristic, complemented
815#3372—611no—
816#3372—611no—
817#3360—611no—
818#3360—611no—
819#3238—611no—
820#3236—611no—
821#3236—611no—
822#3232—611no—
823#3232—611no—
824#3229—611no—
825#3114—611no—
826#3114—611no—
827#3110—611no—
828#3105—611no—
829#3101—611no—
830#3101—611no—
831#2984—611no—
832C2×C61—42no—
833C2×C61—81no—
834C2×C61#348611yescharacteristic
835C2×C61C2×#57511yescharacteristic
836C2×C61C2×#57711yescharacteristic
837D61—22no—
838D61—42no—
839#557—611no—
840#557—611no—
841#557—611no—
842#557—611no—
843#556—611no—
844#556—611no—
845#556C2×D6111yescharacteristic, complemented
846#554—611no—
847#554—611no—
848#554—611no—
849#554—611no—
850#554—611no—
851#554—611no—
852#554—611no—
853#554—1221no—
854#554—1221no—
855#554—1221no—
856#554—1221no—
857#554C2×D6111yescharacteristic
858#552—1221no—
859#552—1221no—
860#552—1221no—
861D4×Q8—611no—
862D4×Q8—1221no—
863#541—1221no—
864#541—1221no—
865#541—1221no—
866#533—611no—
867#533—611no—
868#533—611no—
869C2×C4⋊Q8—611no—
870#529—611no—
871#529—611no—
872#529—611no—
873C2×#125—611no—
874C2×#125—611no—
875C2×C22⋊Q8—1221no—
876C2×C22⋊Q8—1221no—
877C2×C22⋊Q8—1221no—
878#519—1221no—
879C2×C4×Q8—611no—
880C2×C4×D4—611no—
881C2×C4×D4—611no—
882C2×C4×D4—611no—
883C22×C4⋊C4—1221no—
884#501—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#501—611no—
889#501—611no—
890#499—611no—
891#499—611no—
892#499—611no—
893#499—611no—
894#498—611no—
895#498—611no—
896#491—611no—
897#491—611no—
898#491—611no—
899#491C2×D6111yescharacteristic, complemented
900#489—611no—
901#489C2×D6111yescharacteristic, complemented
902#488—611no—
903#488—611no—
904#488—611no—
905#488C2×D6111yescharacteristic, complemented
906#487—611no—
907#487—611no—
908#484—611no—
909#484—611no—
910#484—611no—
911#483—611no—
912#483—611no—
913#483—611no—
914#483—611no—
915#483—611no—
916#483—611no—
917#481—611no—
918#480—611no—
919#480—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479C2×D6111yescharacteristic, complemented
932#478—611no—
933#478—611no—
934#478—611no—
935#478—611no—
936#478—611no—
937#478—611no—
938#478—611no—
939#478—611no—
940#478—611no—
941#478C2×D6111yescharacteristic, complemented
942#477—611no—
943#477—611no—
944#476—611no—
945#476—611no—
946#476—611no—
947#476—611no—
948#476—611no—
949#476—611no—
950#475—611no—
951#475—611no—
952#475—611no—
953#475C2×D6111yescharacteristic, complemented
954#474—611no—
955#474—611no—
956#463—611no—
957#463—611no—
958#463—611no—
959#463—611no—
960#463C2×D6111yescharacteristic
961#463C2×D6111yescharacteristic
962#461—611no—
963#461—611no—
964#461—611no—
965#461—611no—
966#461—611no—
967#461C2×D6111yescharacteristic
968#450—611no—
969#450—611no—
970#450—611no—
971#447—611no—
972#446—611no—
973#446—611no—
974#446—611no—
975#446—611no—
976#446—611no—
977#446C2×D6111yescharacteristic, complemented
978C8×Q8—611no—
979C8×Q8—611no—
980#442—611no—
981#442—611no—
982#442—611no—
983#442C2×D6111yescharacteristic
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990#440—611no—
991#440C2×D6111yescharacteristic
992C4×SD16—611no—
993C4×SD16—611no—
994C4×SD16—611no—
995C4×SD16—611no—
996C4×SD16—611no—
997C4×SD16—611no—
998C4×SD16—611no—
999C4×SD16—611no—
1000C4×SD16—611no—
1001C4×SD16C2×D6111yescharacteristic
1002C4×D8—611no—
1003C4×D8—611no—
1004#432—611no—
1005#432—611no—
1006#432—611no—
1007#431—611no—
1008#431—611no—
1009#431—611no—
1010C61#6184111yescharacteristic, complemented, Sylow
1011C22×Q8—611no—
1012C22×Q8—1221no—
1013C22×Q8—1221no—
1014C22×D4—611no—
1015C23×C4—1221no—
1016C23×C4—1221no—
1017C23×C4—1221no—
1018C2×SD16—611no—
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16—611no—
1022C2×SD16C22×D6111yescharacteristic
1023C2×SD16C22×D6111yescharacteristic
1024C2×D8—611no—
1025C2×D8C22×D6111yescharacteristic
1026C4⋊Q8—611no—
1027C4⋊Q8—611no—
1028C4⋊Q8—611no—
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8C22×D6111yescharacteristic
1040C4⋊Q8C22×D6111yescharacteristic
1041#126—21no—
1042#126—21no—
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—611no—
1058#125—611no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#124—611no—
1078#124C22×D6111yescharacteristic
1079#124C22×D6111yescharacteristic
1080#123—1221no—
1081#123—1221no—
1082#123—1221no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—611no—
1088C22⋊Q8—611no—
1089C22⋊Q8—611no—
1090C22⋊Q8—1221no—
1091C22⋊Q8—1221no—
1092C22⋊Q8—1221no—
1093C22⋊Q8—1221no—
1094C22⋊Q8—1221no—
1095C22⋊Q8—1221no—
1096C22⋊Q8—1221no—
1097C22⋊Q8—1221no—
1098C22⋊Q8—1221no—
1099C22⋊Q8—1221no—
1100C22⋊Q8—1221no—
1101C22⋊Q8—1221no—
1102C22⋊Q8—1221no—
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—
1119#121—611no—
1120C4×Q8—611no—
1121C4×Q8—611no—
1122C4×Q8—611no—
1123C4×Q8—611no—
1124C4×Q8—611no—
1125C4×Q8—611no—
1126C4×Q8—611no—
1127C4×Q8—611no—
1128C4×Q8—611no—
1129C4×Q8—611no—
1130C4×Q8—611no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—1221no—
1135C4×Q8—1221no—
1136C4×Q8—1221no—
1137C4×Q8—1221no—
1138C4×Q8—1221no—
1139C4×Q8—1221no—
1140C4×Q8—1221no—
1141C4×Q8C22×D6111yescharacteristic
1142C4×Q8C22×D6111yescharacteristic
1143C4×Q8C22×D6111yescharacteristic
1144C4×D4—611no—
1145C4×D4—611no—
1146C4×D4—611no—
1147C4×D4—611no—
1148C4×D4—611no—
1149C4×D4—611no—
1150C4×D4—611no—
1151C4×D4—611no—
1152C4×D4—611no—
1153C4×D4—611no—
1154C4×D4—611no—
1155C4×D4—1221no—
1156C4×D4—1221no—
1157C4×D4—1221no—
1158C4×D4—1221no—
1159C4×D4—1221no—
1160C4×D4—1221no—
1161C4×D4—1221no—
1162C4×D4—1221no—
1163C4×D4—1221no—
1164C4×D4C22×D6111yescharacteristic
1165C4×D4C22×D6111yescharacteristic
1166C4×D4C22×D6111yescharacteristic
1167C4×D4C22×D6111yescharacteristic
1168#117—21no—
1169#117—1221no—
1170#117—1221no—
1171#117—1221no—
1172#117—1221no—
1173#117—1221no—
1174#117—1221no—
1175#117—1221no—
1176#117—1221no—
1177C2×C4⋊C4—21no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—611no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—611no—
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×C4⋊C4—1221no—
1190C2×C4⋊C4—1221no—
1191C2×C4⋊C4—1221no—
1192C2×C4⋊C4—1221no—
1193C2×C4⋊C4—1221no—
1194C2×C4⋊C4—1221no—
1195C2×C4⋊C4—1221no—
1196C2×C22⋊C4—1221no—
1197C2×C22⋊C4—1221no—
1198C2×C22⋊C4—1221no—
1199C2×C42—611no—
1200C2×C42—611no—
1201C2×C42—611no—
1202#107—611no—
1203#107—611no—
1204#107—611no—
1205#107—611no—
1206#107—611no—
1207#107—611no—
1208#107—611no—
1209#107—611no—
1210#107—611no—
1211#107C22×D6111yescharacteristic
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106—611no—
1216#106—611no—
1217#106—611no—
1218#106—611no—
1219#106—611no—
1220#106—611no—
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106C22×D6111yescharacteristic
1225#106C22×D6111yescharacteristic
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8—611no—
1229C4⋊C8—611no—
1230C4⋊C8—611no—
1231C4⋊C8—611no—
1232C4⋊C8—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8C22×D6111yescharacteristic
1236C4⋊C8C22×D6111yescharacteristic
1237C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1250#103C22×D6111yescharacteristic
1251#103C22×D6111yescharacteristic
1252#103C22×D6111yescharacteristic
1253#103C22×D6111yescharacteristic
1254#103C22×D6111yescharacteristic
1255#103C22×D6111yescharacteristic
1256#102—611no—
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102C22×D6111yescharacteristic
1267#102C22×D6111yescharacteristic
1268#102C22×D6111yescharacteristic
1269#102C22×D6111yescharacteristic
1270C22⋊C8—611no—
1271C22⋊C8—611no—
1272C22⋊C8—611no—
1273C22⋊C8—611no—
1274#97—611no—
1275#97—611no—
1276#97—611no—
1277#97—611no—
1278#97C22×D6111yescharacteristic
1279#97C22×D6111yescharacteristic
1280C4×C8—611no—
1281C4×C8—611no—
1282C4×C8—611no—
1283C4×C8—611no—
1284C4×C8—611no—
1285C4×C8C22×D6111yescharacteristic
1286C24—1221no—
1287C2×Q8—21no—
1288C2×Q8—611no—
1289C2×Q8—611no—
1290C2×Q8—611no—
1291C2×Q8—611no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—4882no—
1299C2×Q8—2444no—
1300C2×Q8—2442no—
1301C2×Q8D4×D6111yescharacteristic
1302C2×Q8C23×D6111yescharacteristic
1303C2×Q8C23×D6111yescharacteristic
1304C2×D4—611no—
1305C2×D4—1221no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—1221no—
1309C2×D4C23×D6111yescharacteristic
1310C2×D4C23×D6111yescharacteristic
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
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×C4—1221no—
1331C22×C4—1221no—
1332C22×C4—1221no—
1333C22×C4—1221no—
1334C22×C4—1221no—
1335C22×C4—1221no—
1336C22×C4—4882no—
1337C22×C4—4882no—
1338C22×C4—2444no—
1339SD16—22no—
1340SD16—22no—
1341SD16—1222no—
1342SD16—1222no—
1343SD16—1222no—
1344SD16—1222no—
1345D8—22no—
1346D8—1222no—
1347C2×C8—611no—
1348C2×C8—611no—
1349C2×C8—611no—
1350C2×C8—611no—
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—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
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—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⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4D4×D6111yescharacteristic
1421C4⋊C4D4×D6111yescharacteristic
1422C4⋊C4D4×D6111yescharacteristic
1423C4⋊C4C23×D6111yescharacteristic
1424C4⋊C4C23×D6111yescharacteristic
1425C4⋊C4C23×D6111yescharacteristic
1426C4⋊C4C23×D6111yescharacteristic
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
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—
1452C42—21no—
1453C42—21no—
1454C42—611no—
1455C42—611no—
1456C42—611no—
1457C42—611no—
1458C42—611no—
1459C42—611no—
1460C42—611no—
1461C42—611no—
1462C42—611no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42C23×D6111yescharacteristic
1471C42C23×D6111yescharacteristic
1472C42C23×D6111yescharacteristic
1473C23—21no—
1474C23—21no—
1475C23—611no—
1476C23—1224no—
1477C23—1221no—
1478C23—2442no—
1479C23—2442no—
1480Q8—21no—
1481Q8—21no—
1482Q8—21no—
1483Q8—21no—
1484Q8—41no—
1485Q8—81no—
1486Q8—1222no—
1487Q8—1222no—
1488Q8—1221no—
1489Q8—1221no—
1490Q8—4881no—
1491Q8—4881no—
1492Q8—4881no—
1493Q8—2441no—
1494Q8—2442no—
1495Q8—2442no—
1496Q8—2442no—
1497D4—21no—
1498D4—21no—
1499D4—21no—
1500D4—612no—
1501D4—1224no—
1502D4—1221no—
1503D4—2442no—
1504D4#1451982412yes—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—42no—
1512C2×C4—42no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4—611no—
1516C2×C4—611no—
1517C2×C4—611no—
1518C2×C4—611no—
1519C2×C4—611no—
1520C2×C4—611no—
1521C2×C4—611no—
1522C2×C4—1222no—
1523C2×C4—1222no—
1524C2×C4—1222no—
1525C2×C4—1222no—
1526C2×C4—1221no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—4881no—
1536C2×C4—4881no—
1537C2×C4—4881no—
1538C2×C4—4881no—
1539C2×C4—4881no—
1540C2×C4—4881no—
1541C2×C4—2441no—
1542C2×C4—2441no—
1543C2×C4—2442no—
1544C2×C4—2442no—
1545C2×C4—2442no—
1546C2×C4—2442no—
1547C2×C4—2442no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4C2×D4×D6111yescharacteristic
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—22no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—612no—
1573C22—1221no—
1574C22—1221no—
1575C22—1222no—
1576C22—2448no—
1577C22—2441no—
1578C22—2441no—
1579C22C22×D4×D6111yescharacteristic
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—612no—
1593C4—1221no—
1594C4—1221no—
1595C4—1221no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C42−1+4×D6111yescharacteristic
1607C4C2×#1451982411yescharacteristic
1608C2—42no—
1609C2—81no—
1610C2—1222no—
1611C2—2442no—
1612C2#2145946511yescharacteristic
1613C2#575×D6111yescharacteristic
1614C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3376C2
socleC22×C61C23×D4
prime radical#16839894C22
hypercenter#3376D61
hypocenterC61#61841
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #21459914C2semidirect
2. #554×D61C2semidirect
3. #21458771C2semidirect
4. #21458769C2semidirect
5. #21458766C2semidirect
6. #21458764C2semidirect
7. #21458721C2semidirect
8. #21458719C2semidirect
9. #21458697C2semidirect
10. #21458695C2semidirect
11. #21458645C2semidirect
12. #21458643C2semidirect
13. #21458640C2semidirect
14. #21458597C2semidirect
15. #21458595C2semidirect
16. #21458465C2semidirect
17. #21458463C2semidirect
18. #21457036C2semidirect
19. #21457023C2semidirect
20. #21457020C2semidirect
21. #21456985C2semidirect
22. #21456982C2semidirect
23. #21456962C2semidirect
26. #21455916C2semidirect
28. #21455826C2semidirect
29. #21455825C2semidirect
30. #21454905C2semidirect
31. C61×#3376C2semidirect
32. #16840490C22semidirect
33. #16840488C22semidirect
34. #16840488C22semidirect
35. #16840487C22semidirect
36. #16840481C22semidirect
37. #16840481C22semidirect
52. D4×Dic122C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840171C22semidirect
78. #16840170C22semidirect
79. #16840169C22semidirect
80. #16840168C22semidirect
81. #16840164C22semidirect
82. #16840163C22semidirect
83. #16840162C22semidirect
84. #16840161C22semidirect
85. #16840159C22semidirect
86. #16840159C22semidirect
87. #16840130C22semidirect
88. #16840129C22semidirect
89. #16840129C22semidirect
90. #16840121C22semidirect
91. #16840116C22semidirect
92. #16840115C22semidirect
93. #16840115C22semidirect
94. #16840111C22semidirect
95. #16840111C22semidirect
108. #16840071C22semidirect
109. #16840071C22semidirect
110. #16840071C22semidirect
111. #16840070C22semidirect
112. #16840070C22semidirect
113. #16840069C22semidirect
114. #16840067C22semidirect
115. #16840067C22semidirect
116. #16840067C22semidirect
117. #16840066C22semidirect
118. #16840066C22semidirect
119. #16840064C22semidirect
124. #16840062C22semidirect
127. #16840060C22semidirect
128. #16840055C22semidirect
129. #16840055C22semidirect
134. #16840050C22semidirect
135. #16840050C22semidirect
136. #16840048C22semidirect
137. #16840047C22semidirect
138. #16840044C22semidirect
154. #16839893C22semidirect
155. #16839891C22semidirect
156. #16839891C22semidirect
157. #16839890C22semidirect
158. #16839890C22semidirect
159. C8×Dic122C22semidirect
160. #16839886C22semidirect
188. C61×#556C22semidirect
190. C61×#491C22semidirect
191. C61×#489C22semidirect
192. C61×#488C22semidirect
193. C61×#479C22semidirect
194. C61×#478C22semidirect
195. C61×#475C22semidirect
199. C61×#446C22semidirect
814. #3376D61semidirect
845. #556C2×D61semidirect
899. #491C2×D61semidirect
901. #489C2×D61semidirect
905. #488C2×D61semidirect
931. #479C2×D61semidirect
941. #478C2×D61semidirect
953. #475C2×D61semidirect
977. #446C2×D61semidirect
1010. C61#61841semidirect

Maximal subgroups

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

subgroupindex
#214599142
#554×D612
#214587712
#214587692
#214587662
#214587642
#214587212
#214587192
#214586972
#214586952
#214586452
#214586432
#214586402
#214585972
#214585952
#214584652
#214584632
#214570362
#214570232
#214570202
#214569852
#214569822
#214569622
#214559562
#214559552
#214559162
#214558652
#214558262
#214558252
#214549052
C61×#33762
#6184161