Finite Group Databasebeta

← #30570868

Subgroups — #30570868

Order 15616.

1722 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460286C211yesmaximal, characteristic, complemented
2#21459618C211yesmaximal, characteristic, complemented
3#21458777C211yesmaximal, characteristic, complemented
4#21458775C211yesmaximal, characteristic, complemented
5#21458766C211yesmaximal, characteristic, complemented
6#21458764C211yesmaximal, characteristic, complemented
7#21458721C211yesmaximal, characteristic, complemented
8#21458719C211yesmaximal, characteristic, complemented
9#21458719C211yesmaximal, characteristic, complemented
10#21458713C211yesmaximal, characteristic, complemented
11#21458616C211yesmaximal, characteristic, complemented
12#21458615C211yesmaximal, characteristic, complemented
13#21458567C211yesmaximal, characteristic, complemented
14#21458567C211yesmaximal, characteristic, complemented
15#21458565C211yesmaximal, characteristic, complemented
16#21458565C211yesmaximal, characteristic, complemented
17#21458522C211yesmaximal, characteristic, complemented
18#21457116C211yesmaximal, characteristic, complemented
19#21457114C211yesmaximal, characteristic, complemented
20#21457067C211yesmaximal, characteristic, complemented
21#21457065C211yesmaximal, characteristic, complemented
22#21457058C211yesmaximal, characteristic, complemented
23#21457012C211yesmaximal, characteristic, complemented
24#21456060C211yesmaximal, characteristic, complemented
25#21456060C211yesmaximal, characteristic, complemented
26#21456001C211yesmaximal, characteristic, complemented
27#21455999C211yesmaximal, characteristic, complemented
28#21455955C211yesmaximal, characteristic, complemented
29#21455909C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3366C211yesmaximal, characteristic, complemented
32#16840507—21no—
33#16840507—21no—
34#16840498C2211yescharacteristic, complemented
35#16840498C2211yescharacteristic, complemented
36#16840498C2211yescharacteristic, complemented
37#16840490C2211yescharacteristic, complemented
38#16840472C2211yescharacteristic
39#16840471C2211yescharacteristic
40#16840471C2211yescharacteristic
41#16840471C2211yescharacteristic, complemented
42#16840471C2211yescharacteristic, complemented
43#16840468C2211yescharacteristic
44#16840468C2211yescharacteristic
45#16840467—21no—
46#16840466—21no—
47#16840466—21no—
48D4×Dic122C2211yescharacteristic
49D4×Dic122C2211yescharacteristic, complemented
50#16840427C2211yescharacteristic
51#16840425—21no—
52#16840418—21no—
53#16840411—21no—
54#16840392C2211yescharacteristic
55#16840389C2211yescharacteristic
56#16840387—21no—
57#16840387—21no—
58#16840379—21no—
59#16840377C2211yescharacteristic
60#16840377C2211yescharacteristic
61#16840366C2211yescharacteristic
62#16840366C2211yescharacteristic
63#16840357—21no—
64#16840357—21no—
65#16840333—21no—
66#16840318C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840310C2211yescharacteristic
69#16840294C2211yescharacteristic
70C2×#14519755—21no—
71C22⋊Q8×D61—21no—
72#16840234C2211yescharacteristic
73#16840234C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840171C2211yescharacteristic, complemented
78#16840170C2211yescharacteristic, complemented
79#16840170C2211yescharacteristic, complemented
80#16840169C2211yescharacteristic, complemented
81#16840169C2211yescharacteristic, complemented
82#16840168C2211yescharacteristic, complemented
83#16840164C2211yescharacteristic, complemented
84#16840161C2211yescharacteristic, complemented
85#16840159C2211yescharacteristic, complemented
86#16840159C2211yescharacteristic, complemented
87#16840126C2211yescharacteristic, complemented
88#16840126C2211yescharacteristic, complemented
89#16840120C2211yescharacteristic, complemented
90#16840120C2211yescharacteristic, complemented
91#16840120C2211yescharacteristic, complemented
92#16840120C2211yescharacteristic, complemented
93#16840115C2211yescharacteristic, complemented
94#16840115C2211yescharacteristic, complemented
95#16840108C2211yescharacteristic, complemented
96#16840106C2211yescharacteristic
97#16840105C2211yescharacteristic
98#16840094C2211yescharacteristic
99#16840085C2211yescharacteristic
100#16840085C2211yescharacteristic
101#16840085C2211yescharacteristic
102#16840084C2211yescharacteristic
103#16840084C2211yescharacteristic
104#16840084C2211yescharacteristic
105#16840079C2211yescharacteristic
106#16840079C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840070C2211yescharacteristic, complemented
109#16840070C2211yescharacteristic, complemented
110#16840066C2211yescharacteristic, complemented
111#16840066C2211yescharacteristic, complemented
112#16840064C2211yescharacteristic, complemented
113#16840064C2211yescharacteristic, complemented
114#16840063C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840062C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840062C2211yescharacteristic, complemented
119#16840062C2211yescharacteristic, complemented
120#16840061C2211yescharacteristic
121#16840060C2211yescharacteristic
122#16840060C2211yescharacteristic, complemented
123#16840060C2211yescharacteristic, complemented
124#16840053C2211yescharacteristic
125#16840052C2211yescharacteristic
126#16840052C2211yescharacteristic, complemented
127#16840051C2211yescharacteristic
128#16840050C2211yescharacteristic
129#16840050C2211yescharacteristic, complemented
130#16840050C2211yescharacteristic, complemented
131#16840050C2211yescharacteristic, complemented
132#16840050C2211yescharacteristic, complemented
133#16840048C2211yescharacteristic, complemented
134#16840044C2211yescharacteristic, complemented
135#16840041C2211yescharacteristic
136#16840040C2211yescharacteristic
137#16840040C2211yescharacteristic, complemented
138#16840040C2211yescharacteristic, complemented
139#16840040C2211yescharacteristic, complemented
140#16840040C2211yescharacteristic, complemented
141#16839976C2211yescharacteristic
142#16839976C2211yescharacteristic
143#16839976C2211yescharacteristic
144#16839975C2211yescharacteristic
145#16839975C2211yescharacteristic
146#16839975C2211yescharacteristic
147#16839954C2211yescharacteristic
148#16839954C2211yescharacteristic
149#16839954C2211yescharacteristic
150#16839914C2211yescharacteristic
151#16839894C2211yescharacteristic
152#16839894C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839892C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839874C2211yescharacteristic
162#16839874C2211yescharacteristic
163#16839874C2211yescharacteristic
164#16839874C2211yescharacteristic
165#16839872C2211yescharacteristic
166#16839872C2211yescharacteristic
167#16839871C2211yescharacteristic
168#16839871C2211yescharacteristic
169#16839871C2211yescharacteristic
170#16839871C2211yescharacteristic
171#16839864C2211yescharacteristic
172#16839864C2211yescharacteristic
173#16839862C2211yescharacteristic
174#16839862C2211yescharacteristic
175C4×#11758190C2211yescharacteristic
176C4×#11758200C2211yescharacteristic
177D8×Dic61C2211yescharacteristic
178D8×Dic61C2211yescharacteristic
179C4×#11758199C2211yescharacteristic
180#16839842C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#550C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic, complemented
191C61×#490C2211yescharacteristic, complemented
192C61×#486C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic, complemented
195C61×#476C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic
197C61×#459C2211yescharacteristic
198C61×#459C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758224—21no—
204C22×Dic122—21no—
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758199C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519777C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519776—21no—
217#14519776D411yescharacteristic
218#14519776C2311yescharacteristic
219#14519776C2311yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519775—21no—
226#14519775D411yescharacteristic
227#14519770—21no—
228#14519770—21no—
229#14519770—21no—
230#14519769C2311yescharacteristic
231#14519769C2311yescharacteristic
232#14519769C2311yescharacteristic
233#14519769C2311yescharacteristic
234#14519768C2311yescharacteristic
235#14519768C2311yescharacteristic
236#14519768C2311yescharacteristic
237#14519767—21no—
238#14519767—21no—
239#14519767—21no—
240#14519767—21no—
241#14519767D411yescharacteristic
242#14519767D411yescharacteristic
243#14519764—21no—
244#14519764—21no—
245#14519764—21no—
246#14519764—21no—
247#14519764C2311yescharacteristic
248#14519764C2311yescharacteristic
249#14519764C2311yescharacteristic
250#14519763—21no—
251#14519763—21no—
252#14519760—21no—
253#14519760—21no—
254#14519759—21no—
255#14519758—21no—
256#14519758—21no—
257#14519758—21no—
258#14519758—21no—
259#14519758—21no—
260#14519758—21no—
261#14519758—21no—
262#14519758—21no—
263#14519758—21no—
264#14519758—21no—
265#14519757—21no—
266#14519757—21no—
267#14519757—21no—
268#14519757D411yescharacteristic
269#14519757C2311yescharacteristic
270#14519756—21no—
271#14519756—21no—
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519756—21no—
276#14519756—21no—
277#14519756—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755D411yescharacteristic
291#14519755D411yescharacteristic
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753D411yescharacteristic
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519748—21no—
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315#14519748C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
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#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519734C2311yescharacteristic
355#14519734C2311yescharacteristic
356C2×#11758196—21no—
357C2×#11758196—21no—
358C2×#11758196—21no—
359C2×#11758196—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61C2311yescharacteristic
364C2×#11758198—21no—
365C2×#11758198—21no—
366C22⋊C4×D61—21no—
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
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#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519699C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519698C2311yescharacteristic
410#14519698C2311yescharacteristic
411#14519698C2311yescharacteristic
412#14519698C2311yescharacteristic
413#14519698C2311yescharacteristic
414#14519698C2311yescharacteristic
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
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C2×D8×C61C2311yescharacteristic
437C2×D8×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440#127×C61C2311yescharacteristic
441#127×C61C2311yescharacteristic
442#127×C61C2311yescharacteristic
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448#121×C61—21no—
449#121×C61—21no—
450#121×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C2×C4⋊C4×C61—21no—
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#102×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×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—
479#41×C61—82no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511Q8×D61—82no—
512#11758224—82no—
513D4×D61—22no—
514D4×D61—22no—
515C2×D244C2411yescharacteristic
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—82no—
524C2×C4×D61C2×D411yescharacteristic
525C2×C4×D61C2×D411yescharacteristic
526C2×C4×D61C2411yescharacteristic
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—82no—
536C2×Dic122—82no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541D8×C61—22no—
542D8×C61—22no—
543D8×C61—22no—
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C42×C61C2411yescharacteristic
567C42×C61C2411yescharacteristic
568C42×C61C2411yescharacteristic
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587#11758200—22no—
588#11758199—22no—
589#11758199—22no—
590#11758199—22no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198C2×D411yescharacteristic
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61C2×D411yescharacteristic
611C4⋊Dic61C2×D411yescharacteristic
612C4⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
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—
667C23×C61—21no—
668C23×C61—21no—
669C22×D61—21no—
670C22×D61—24no—
671C22×D61—81no—
672C22×D61—81no—
673C22×D61C22×D411yescharacteristic
674Q8×C61—41no—
675Q8×C61—81no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—21no—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—42no—
684D4×C61—81no—
685D4×C61—81no—
686D4×C61—81no—
687D4×C61—81no—
688D4×C61—81no—
689D4×C612−1+412yes—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—42no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61—81no—
698C2×C4×C61—81no—
699C2×C4×C61—81no—
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C2511yescharacteristic
707C22⋊D61—24no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—42no—
719C2×Dic61—81no—
720C2×Dic61—81no—
721C2×Dic61—81no—
722C2×Dic61—81no—
723C2×Dic61—81no—
724C2×Dic61—81no—
725C2×Dic61—81no—
726C2×Dic61—81no—
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734D244—21no—
735D2442−1+412yes—
736C4×D61—21no—
737C4×D61—21no—
738C4×D61—41no—
739C4×D61—41no—
740C4×D61—42no—
741C4×D61—81no—
742C4×D61—81no—
743C4×D61—81no—
744C4×D61—81no—
745C4×D61—81no—
746C4×D61—81no—
747Dic122—21no—
748Dic122—21no—
749Dic122—41no—
750Dic122—41no—
751Dic122—41no—
752Dic122—42no—
753Dic122—42no—
754Dic122—81no—
755Dic122—81no—
756Dic122—81no—
757Dic122—81no—
758Dic122—81no—
759Dic122—81no—
760C8×C61—21no—
761C8×C61—21no—
762C8×C61—21no—
763C8×C61—21no—
764#92418—21no—
765#92418—21no—
766#92418—21no—
767#92418—21no—
768#61872—611nomaximal, Sylow
769C22×C61—22no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61C23×D411yescharacteristic
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—21no—
785C2×D61—22no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—84no—
789C4×C61—21no—
790C4×C61—21no—
791C4×C61—21no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—41no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61C2×2−1+411yescharacteristic
800C4×C61C2×2−1+411yescharacteristic
801Dic61—21no—
802Dic61—21no—
803Dic61—21no—
804Dic61—21no—
805Dic61—21no—
806Dic61—21no—
807Dic61—21no—
808Dic61—41no—
809Dic61—41no—
810Dic61—41no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815#3554—611no—
816#3501—611no—
817#3389—611no—
818#3389—611no—
819#3388—611no—
820#3388—611no—
821#3384—611no—
822#3384—611no—
823#3384—611no—
824#3384—611no—
825#3373—611no—
826#3373—611no—
827#3370—611no—
828#3370—611no—
829#3370—611no—
830#3370—611no—
831#3366—611no—
832#3366D6111yescharacteristic, complemented
833#3244—611no—
834#3244—611no—
835#3241—611no—
836#3241—611no—
837#3240—611no—
838#3235—611no—
839#3122—611no—
840#3122—611no—
841#3118—611no—
842#3118—611no—
843#3114—611no—
844#3109—611no—
845#2987—611no—
846C2×C61—42no—
847C2×C61—81no—
848C2×C61—81no—
849C2×C61—81no—
850C2×C61#348611yescharacteristic
851C2×C61#358511yescharacteristic
852C2×C61#358511yescharacteristic
853D61—41no—
854D61—42no—
855#562—1221no—
856#562—1221no—
857#559—611no—
858#559—611no—
859#559—611no—
860#557—611no—
861#554—611no—
862#554—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—1221no—
869#554—1221no—
870#554—1221no—
871#554C2×D6111yescharacteristic
872#550C2×D6111yescharacteristic, complemented
873D4×Q8—611no—
874D4×Q8—611no—
875D4×Q8—611no—
876D4×Q8—1221no—
877#548—1221no—
878#547—1221no—
879#544—611no—
880#544—611no—
881#543—1221no—
882#543—1221no—
883#542—611no—
884#542—611no—
885#542—1221no—
886#540—611no—
887#540—611no—
888#539—1221no—
889#539—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#532—611no—
894#529—611no—
895C2×C22⋊Q8—1221no—
896C2×C22⋊Q8—1221no—
897#518—611no—
898#518—611no—
899C2×C4×D4—611no—
900#501—611no—
901#501—611no—
902#501—611no—
903#501—611no—
904#501—611no—
905#501—611no—
906#501—611no—
907#501—611no—
908#499—611no—
909#499—611no—
910#498—611no—
911#498—611no—
912#490—611no—
913#490—611no—
914#490C2×D6111yescharacteristic, complemented
915#490C2×D6111yescharacteristic, complemented
916#489—611no—
917#489—611no—
918#489—611no—
919#489—611no—
920#488—611no—
921#488—611no—
922#486—611no—
923#486C2×D6111yescharacteristic, complemented
924#485—611no—
925#485—611no—
926#483—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#479—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478C2×D6111yescharacteristic, complemented
953#478C2×D6111yescharacteristic, complemented
954#476—611no—
955#476—611no—
956#476—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#476C2×D6111yescharacteristic, complemented
964#475—611no—
965#475—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#474—611no—
972#463—611no—
973#463—611no—
974#463—611no—
975#463—611no—
976#463—611no—
977#463—611no—
978#459—611no—
979#459—611no—
980#459—611no—
981#459C2×D6111yescharacteristic
982#459C2×D6111yescharacteristic
983#459C2×D6111yescharacteristic
984#450—611no—
985#447—611no—
986#447—611no—
987#447—611no—
988#446—611no—
989#446—611no—
990#446—611no—
991#446—611no—
992#446—611no—
993#446—611no—
994#446—611no—
995#446C2×D6111yescharacteristic, complemented
996#442—611no—
997#442—611no—
998#442—611no—
999#442—611no—
1000#442—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#442—611no—
1005#442—611no—
1006#442C2×D6111yescharacteristic
1007#442C2×D6111yescharacteristic
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012C4×SD16—611no—
1013C4×SD16—611no—
1014C4×D8—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017C4×D8—611no—
1018C4×D8—611no—
1019C4×D8C2×D6111yescharacteristic
1020#433—611no—
1021#433—611no—
1022#433—611no—
1023#433—611no—
1024#432—611no—
1025#432—611no—
1026C61#6187211yescharacteristic, complemented, Sylow
1027C2×#41—21no—
1028C2×#41—1221no—
1029C22×Q8—1221no—
1030C22×Q8—1221no—
1031C22×Q8—1221no—
1032C22×D4—611no—
1033C23×C4—1221no—
1034C2×SD16—611no—
1035C2×SD16—611no—
1036C2×D8—611no—
1037C2×D8—611no—
1038C2×D8—611no—
1039C2×D8C22×D6111yescharacteristic
1040C2×D8C22×D6111yescharacteristic
1041C2×D8C22×D6111yescharacteristic
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—611no—
1048C4⋊Q8—611no—
1049C4⋊Q8—611no—
1050C4⋊Q8—611no—
1051C4⋊Q8—611no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8—1221no—
1055C4⋊Q8C22×D6111yescharacteristic
1056#127C22×D6111yescharacteristic
1057#127C22×D6111yescharacteristic
1058#127C22×D6111yescharacteristic
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#125—611no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—611no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
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#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
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—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145#121—21no—
1146#121—21no—
1147#121—21no—
1148#121—611no—
1149#121—611no—
1150#121—611no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×D4—611no—
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—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4C22×D6111yescharacteristic
1193C4×D4C22×D6111yescharacteristic
1194C4×D4C22×D6111yescharacteristic
1195C4×D4C22×D6111yescharacteristic
1196C4×D4C22×D6111yescharacteristic
1197C4×D4C22×D6111yescharacteristic
1198#117—611no—
1199#117—611no—
1200#117—611no—
1201#117—611no—
1202#117—1221no—
1203C2×C4⋊C4—21no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4—1221no—
1207C2×C4⋊C4—1221no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C4⋊C4—1221no—
1211C2×C4⋊C4—1221no—
1212C2×C22⋊C4—1221no—
1213C2×C22⋊C4—1221no—
1214C2×C22⋊C4—1221no—
1215C2×C22⋊C4—1221no—
1216C2×C22⋊C4—1221no—
1217C2×C42—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107—611no—
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106—611no—
1239#106—611no—
1240#106C22×D6111yescharacteristic
1241#106C22×D6111yescharacteristic
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8—611no—
1247C4⋊C8—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8C22×D6111yescharacteristic
1252C4⋊C8C22×D6111yescharacteristic
1253C4⋊C8C22×D6111yescharacteristic
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
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—
1275#102—611no—
1276#102C22×D6111yescharacteristic
1277#102C22×D6111yescharacteristic
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282#102C22×D6111yescharacteristic
1283#102C22×D6111yescharacteristic
1284#102C22×D6111yescharacteristic
1285#102C22×D6111yescharacteristic
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288C22⋊C8—611no—
1289C22⋊C8—611no—
1290#97—611no—
1291#97—611no—
1292#97—611no—
1293#97—611no—
1294#97—611no—
1295#97—611no—
1296#97C22×D6111yescharacteristic
1297#97C22×D6111yescharacteristic
1298C4×C8—611no—
1299C4×C8—611no—
1300C4×C8—611no—
1301C4×C8C22×D6111yescharacteristic
1302C24—1221no—
1303#41—82no—
1304#41—4882no—
1305C2×Q8—21no—
1306C2×Q8—611no—
1307C2×Q8—611no—
1308C2×Q8—611no—
1309C2×Q8—611no—
1310C2×Q8—1221no—
1311C2×Q8—1221no—
1312C2×Q8—1221no—
1313C2×Q8—1221no—
1314C2×Q8—1221no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—4882no—
1319C2×Q8—4882no—
1320C2×Q8—4882no—
1321C2×Q8D4×D6111yescharacteristic
1322C2×D4—21no—
1323C2×D4—21no—
1324C2×D4—21no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—611no—
1329C2×D4—1221no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4C23×D6111yescharacteristic
1336C2×D4C23×D6111yescharacteristic
1337C2×D4C23×D6111yescharacteristic
1338C2×D4C23×D6111yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—1221no—
1349C22×C4—1221no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—4882no—
1365SD16—1222no—
1366SD16—1222no—
1367D8—22no—
1368D8—22no—
1369D8—22no—
1370D8—1222no—
1371D8—1222no—
1372D8—1222no—
1373C2×C8—611no—
1374C2×C8—611no—
1375C2×C8—611no—
1376C2×C8—611no—
1377C2×C8C23×D6111yescharacteristic
1378C2×C8C23×D6111yescharacteristic
1379C2×C8C23×D6111yescharacteristic
1380C2×C8C23×D6111yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—611no—
1390C4⋊C4—611no—
1391C4⋊C4—611no—
1392C4⋊C4—611no—
1393C4⋊C4—611no—
1394C4⋊C4—611no—
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
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⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4D4×D6111yescharacteristic
1433C4⋊C4D4×D6111yescharacteristic
1434C4⋊C4D4×D6111yescharacteristic
1435C4⋊C4C23×D6111yescharacteristic
1436C4⋊C4C23×D6111yescharacteristic
1437C4⋊C4C23×D6111yescharacteristic
1438C4⋊C4C23×D6111yescharacteristic
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—611no—
1446C22⋊C4—611no—
1447C22⋊C4—611no—
1448C22⋊C4—611no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C42—611no—
1477C42—611no—
1478C42—611no—
1479C42—611no—
1480C42—611no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42—1221no—
1485C42—1221no—
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C42C23×D6111yescharacteristic
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—611no—
1494C23—1224no—
1495C23—1221no—
1496C23—4881no—
1497C23—4881no—
1498Q8—41no—
1499Q8—81no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—4881no—
1503Q8—4881no—
1504Q8—4881no—
1505Q8—4881no—
1506Q8—4881no—
1507Q8—4881no—
1508Q8—2441no—
1509Q8—2441no—
1510Q8—2441no—
1511Q8—2442no—
1512Q8—2442no—
1513D4—21no—
1514D4—21no—
1515D4—21no—
1516D4—21no—
1517D4—21no—
1518D4—21no—
1519D4—21no—
1520D4—42no—
1521D4—81no—
1522D4—81no—
1523D4—81no—
1524D4—81no—
1525D4—81no—
1526D4—612no—
1527D4—1224no—
1528D4—1221no—
1529D4—4881no—
1530D4—4881no—
1531D4—4881no—
1532D4#1451982412yes—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—42no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—81no—
1541C2×C4—81no—
1542C2×C4—81no—
1543C2×C4—611no—
1544C2×C4—611no—
1545C2×C4—611no—
1546C2×C4—611no—
1547C2×C4—611no—
1548C2×C4—611no—
1549C2×C4—611no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—4881no—
1560C2×C4—4881no—
1561C2×C4—4881no—
1562C2×C4—4881no—
1563C2×C4—4881no—
1564C2×C4—4881no—
1565C2×C4—4881no—
1566C2×C4—4881no—
1567C2×C4—4881no—
1568C2×C4—4881no—
1569C2×C4—4881no—
1570C2×C4—4881no—
1571C2×C4—4881no—
1572C2×C4—4881no—
1573C2×C4—2441no—
1574C2×C4—2441no—
1575C2×C4—2442no—
1576C2×C4—2442no—
1577C2×C4C2×D4×D6111yescharacteristic
1578C2×C4C2×D4×D6111yescharacteristic
1579C2×C4C2×D4×D6111yescharacteristic
1580C2×C4C2×D4×D6111yescharacteristic
1581C2×C4C2×D4×D6111yescharacteristic
1582C2×C4C2×D4×D6111yescharacteristic
1583C2×C4C24×D6111yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—21no—
1588C8—1221no—
1589C8—1221no—
1590C8—1221no—
1591C8—1221no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—1221no—
1605C22—1222no—
1606C22—1221no—
1607C22—1221no—
1608C22—4884no—
1609C22—2441no—
1610C22—2441no—
1611C22C22×D4×D6111yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—1221no—
1623C4—1221no—
1624C4—1221no—
1625C4—1221no—
1626C4—1221no—
1627C4—1221no—
1628C4—1221no—
1629C4—2441no—
1630C4—2441no—
1631C4—2441no—
1632C4—2441no—
1633C4—2441no—
1634C4—2441no—
1635C4—2441no—
1636C42−1+4×D6111yescharacteristic
1637C4C2×#1451982411yescharacteristic
1638C2—42no—
1639C2—81no—
1640C2—81no—
1641C2—81no—
1642C2—2441no—
1643C2—2442no—
1644C2#2145946511yescharacteristic
1645C2#2146059411yescharacteristic
1646C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3366C2
socleC22×C61C23×D4
hypercenter#3366D61
hypocenterC61#61872
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #21460286C2semidirect
2. #21459618C2semidirect
3. #21458777C2semidirect
4. #21458775C2semidirect
5. #21458766C2semidirect
6. #21458764C2semidirect
7. #21458721C2semidirect
8. #21458719C2semidirect
9. #21458719C2semidirect
10. #21458713C2semidirect
11. #21458616C2semidirect
12. #21458615C2semidirect
13. #21458567C2semidirect
14. #21458567C2semidirect
15. #21458565C2semidirect
16. #21458565C2semidirect
17. #21458522C2semidirect
18. #21457116C2semidirect
19. #21457114C2semidirect
20. #21457067C2semidirect
21. #21457065C2semidirect
22. #21457058C2semidirect
23. #21457012C2semidirect
24. #21456060C2semidirect
25. #21456060C2semidirect
26. #21456001C2semidirect
27. #21455999C2semidirect
28. #21455955C2semidirect
29. #21455909C2semidirect
30. #21454922C2semidirect
31. C61×#3366C2semidirect
34. #16840498C22semidirect
35. #16840498C22semidirect
36. #16840498C22semidirect
37. #16840490C22semidirect
41. #16840471C22semidirect
42. #16840471C22semidirect
49. D4×Dic122C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840171C22semidirect
78. #16840170C22semidirect
79. #16840170C22semidirect
80. #16840169C22semidirect
81. #16840169C22semidirect
82. #16840168C22semidirect
83. #16840164C22semidirect
84. #16840161C22semidirect
85. #16840159C22semidirect
86. #16840159C22semidirect
87. #16840126C22semidirect
88. #16840126C22semidirect
89. #16840120C22semidirect
90. #16840120C22semidirect
91. #16840120C22semidirect
92. #16840120C22semidirect
93. #16840115C22semidirect
94. #16840115C22semidirect
95. #16840108C22semidirect
108. #16840070C22semidirect
109. #16840070C22semidirect
110. #16840066C22semidirect
111. #16840066C22semidirect
112. #16840064C22semidirect
113. #16840064C22semidirect
118. #16840062C22semidirect
119. #16840062C22semidirect
122. #16840060C22semidirect
123. #16840060C22semidirect
126. #16840052C22semidirect
129. #16840050C22semidirect
130. #16840050C22semidirect
131. #16840050C22semidirect
132. #16840050C22semidirect
133. #16840048C22semidirect
134. #16840044C22semidirect
137. #16840040C22semidirect
138. #16840040C22semidirect
139. #16840040C22semidirect
140. #16840040C22semidirect
154. #16839893C22semidirect
155. #16839892C22semidirect
156. #16839891C22semidirect
157. #16839891C22semidirect
158. #16839890C22semidirect
159. #16839890C22semidirect
160. #16839889C22semidirect
189. C61×#550C22semidirect
190. C61×#490C22semidirect
191. C61×#490C22semidirect
192. C61×#486C22semidirect
193. C61×#478C22semidirect
194. C61×#478C22semidirect
195. C61×#476C22semidirect
199. C61×#446C22semidirect
832. #3366D61semidirect
872. #550C2×D61semidirect
914. #490C2×D61semidirect
915. #490C2×D61semidirect
923. #486C2×D61semidirect
952. #478C2×D61semidirect
953. #478C2×D61semidirect
963. #476C2×D61semidirect
995. #446C2×D61semidirect
1026. C61#61872semidirect

Maximal subgroups

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

subgroupindex
#214602862
#214596182
#214587772
#214587752
#214587662
#214587642
#214587212
#214587192
#214587132
#214586162
#214586152
#214585672
#214585652
#214585222
#214571162
#214571142
#214570672
#214570652
#214570582
#214570122
#214560602
#214560012
#214559992
#214559552
#214559092
#214549222
C61×#33662
#6187261