Finite Group Databasebeta

← #30570889

Subgroups — #30570889

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#21460306C211yesmaximal, characteristic, complemented
2#21459614C211yesmaximal, characteristic, complemented
3#21458775C211yesmaximal, characteristic, complemented
4#21458772C211yesmaximal, characteristic, complemented
5#21458769C211yesmaximal, characteristic, complemented
6#21458766C211yesmaximal, characteristic, complemented
7#21458743C211yesmaximal, characteristic, complemented
8#21458740C211yesmaximal, characteristic, complemented
9#21458730C211yesmaximal, characteristic, complemented
10#21458728C211yesmaximal, characteristic, complemented
11#21458650C211yesmaximal, characteristic, complemented
12#21458645C211yesmaximal, characteristic, complemented
13#21458643C211yesmaximal, characteristic, complemented
14#21458640C211yesmaximal, characteristic, complemented
15#21458605C211yesmaximal, characteristic, complemented
16#21458595C211yesmaximal, characteristic, complemented
17#21458534C211yesmaximal, characteristic, complemented
18#21457099C211yesmaximal, characteristic, complemented
19#21457097C211yesmaximal, characteristic, complemented
20#21457086C211yesmaximal, characteristic, complemented
21#21457080C211yesmaximal, characteristic, complemented
22#21457056C211yesmaximal, characteristic, complemented
23#21457031C211yesmaximal, characteristic, complemented
24#21456070C211yesmaximal, characteristic, complemented
25#21456069C211yesmaximal, characteristic, complemented
26#21456002C211yesmaximal, characteristic
27#21455999C211yesmaximal, characteristic
28#21455956C211yesmaximal, characteristic
29#21455916C211yesmaximal, characteristic, complemented
30#21454922C211yesmaximal, characteristic, complemented
31C61×#3367C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840513—21no—
34Q8×Dic122C2211yescharacteristic, complemented
35#16840490C2211yescharacteristic, complemented
36#16840488C2211yescharacteristic, complemented
37#16840487C2211yescharacteristic, complemented
38#16840481C2211yescharacteristic, complemented
39#16840481C2211yescharacteristic, complemented
40#16840479—21no—
41#16840473C2211yescharacteristic
42#16840473C2211yescharacteristic
43#16840472C2211yescharacteristic
44#16840471C2211yescharacteristic
45#16840471C2211yescharacteristic
46#16840471C2211yescharacteristic, complemented
47#16840470—21no—
48#16840469C2211yescharacteristic
49#16840466—21no—
50#16840466—21no—
51#16840445—21no—
52#16840427C2211yescharacteristic
53Q8×C22⋊D61—21no—
54#16840391—21no—
55#16840389C2211yescharacteristic
56#16840389C2211yescharacteristic
57#16840387—21no—
58#16840387—21no—
59#16840381C2211yescharacteristic
60#16840377C2211yescharacteristic
61#16840374—21no—
62#16840373C2211yescharacteristic
63#16840370C2211yescharacteristic
64#16840369—21no—
65#16840369—21no—
66#16840317C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840316C2211yescharacteristic
69#16840291C2211yescharacteristic
70C2×#14519753—21no—
71C22⋊Q8×D61—21no—
72#16840234C2211yescharacteristic
73#16840234C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840170C2211yescharacteristic, complemented
79#16840170C2211yescharacteristic, complemented
80#16840170C2211yescharacteristic, complemented
81#16840168C2211yescharacteristic, complemented
82#16840168C2211yescharacteristic, complemented
83#16840166C2211yescharacteristic, complemented
84#16840165C2211yescharacteristic, complemented
85#16840164C2211yescharacteristic, complemented
86#16840163C2211yescharacteristic, complemented
87#16840130C2211yescharacteristic, complemented
88#16840129C2211yescharacteristic, complemented
89#16840129C2211yescharacteristic, complemented
90#16840129C2211yescharacteristic, complemented
91#16840121C2211yescharacteristic, complemented
92#16840120C2211yescharacteristic, complemented
93#16840116C2211yescharacteristic, complemented
94#16840115C2211yescharacteristic, complemented
95#16840111C2211yescharacteristic, complemented
96#16840105C2211yescharacteristic
97#16840105C2211yescharacteristic
98#16840102C2211yescharacteristic
99#16840102C2211yescharacteristic
100#16840101C2211yescharacteristic
101#16840101C2211yescharacteristic
102#16840099C2211yescharacteristic
103#16840096C2211yescharacteristic
104#16840091C2211yescharacteristic
105#16840085C2211yescharacteristic
106#16840085C2211yescharacteristic
107#16840074C2211yescharacteristic
108#16840071C2211yescharacteristic, complemented
109#16840070C2211yescharacteristic, complemented
110#16840070C2211yescharacteristic, complemented
111#16840069C2211yescharacteristic, complemented
112#16840067C2211yescharacteristic, complemented
113#16840067C2211yescharacteristic, complemented
114#16840067C2211yescharacteristic, complemented
115#16840067C2211yescharacteristic, complemented
116#16840065C2211yescharacteristic
117#16840064C2211yescharacteristic, complemented
118#16840063C2211yescharacteristic
119#16840063C2211yescharacteristic
120#16840062C2211yescharacteristic
121#16840062C2211yescharacteristic
122#16840062C2211yescharacteristic, complemented
123#16840060C2211yescharacteristic
124#16840060C2211yescharacteristic, complemented
125#16840060C2211yescharacteristic, complemented
126#16840055C2211yescharacteristic, complemented
127#16840055C2211yescharacteristic, complemented
128#16840054C2211yescharacteristic, complemented
129#16840054C2211yescharacteristic, complemented
130#16840053C2211yescharacteristic
131#16840050C2211yescharacteristic
132#16840048C2211yescharacteristic, complemented
133#16840047C2211yescharacteristic, complemented
134#16840045C2211yescharacteristic, complemented
135#16840044C2211yescharacteristic, complemented
136#16840042C2211yescharacteristic
137#16840041C2211yescharacteristic
138#16840041C2211yescharacteristic
139#16840040C2211yescharacteristic
140#16840040C2211yescharacteristic, complemented
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#16839892C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839874C2211yescharacteristic
162#16839874C2211yescharacteristic
163#16839872C2211yescharacteristic
164#16839871C2211yescharacteristic
165#16839865C2211yescharacteristic
166#16839865C2211yescharacteristic
167#16839865C2211yescharacteristic
168#16839864C2211yescharacteristic
169#16839864C2211yescharacteristic
170#16839863C2211yescharacteristic
171#16839863C2211yescharacteristic
172#16839862C2211yescharacteristic
173#16839862C2211yescharacteristic
174#16839860C2211yescharacteristic
175C4×#11758190C2211yescharacteristic
176SD16×Dic61C2211yescharacteristic
177SD16×Dic61C2211yescharacteristic
178C4×#11758201C2211yescharacteristic
179C4×#11758200C2211yescharacteristic
180#16839847C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839824C2211yescharacteristic
183#16839822C2211yescharacteristic
184#16839822C2211yescharacteristic
185#16839821C2211yescharacteristic
186#16839818C2211yescharacteristic
187#16839817C2211yescharacteristic
188C61×#556C2211yescharacteristic, complemented
189D4×Q8×C61C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#489C2211yescharacteristic, complemented
192C61×#487C2211yescharacteristic, complemented
193C61×#477C2211yescharacteristic, complemented
194C61×#477C2211yescharacteristic, complemented
195C61×#474C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×Q8×D61—21no—
204C2×D4×D61C2311yescharacteristic
205C22×C4×D61—21no—
206C2×#11758190C2311yescharacteristic
207C2×#11758200C2311yescharacteristic
208C2×#11758201C2311yescharacteristic
209C2×#11758201C2311yescharacteristic
210C2×#11758199C2311yescharacteristic
211#14519777—21no—
212#14519777C2311yescharacteristic
213#14519777C2311yescharacteristic
214#14519776—21no—
215#14519776—21no—
216#14519776—21no—
217#14519776D411yescharacteristic
218#14519776C2311yescharacteristic
219#14519776C2311yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519775—21no—
223#14519775—21no—
224#14519775—21no—
225#14519775D411yescharacteristic
226#14519775C2311yescharacteristic
227#14519775C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519771—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519769—21no—
240#14519769—21no—
241#14519769C2311yescharacteristic
242#14519769C2311yescharacteristic
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
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#14519767—21no—
261#14519767—21no—
262#14519767D411yescharacteristic
263#14519767D411yescharacteristic
264#14519764C2311yescharacteristic
265#14519763—21no—
266#14519763—21no—
267#14519761—21no—
268#14519760—21no—
269#14519759—21no—
270#14519757—21no—
271#14519757—21no—
272#14519757—21no—
273#14519757D411yescharacteristic
274#14519757C2311yescharacteristic
275#14519756—21no—
276#14519756—21no—
277#14519756—21no—
278#14519756—21no—
279#14519756—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755D411yescharacteristic
288#14519755D411yescharacteristic
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
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#14519753—21no—
301#14519753—21no—
302#14519753—21no—
303#14519753—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753D411yescharacteristic
310#14519753C2311yescharacteristic
311#14519753C2311yescharacteristic
312#14519748C2311yescharacteristic
313Q8×Dic61—21no—
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519735C2311yescharacteristic
349#14519735C2311yescharacteristic
350#14519734—21no—
351#14519734C2311yescharacteristic
352#14519734C2311yescharacteristic
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356C2×C4⋊Dic61—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#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
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
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×Q8×C61—21no—
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C4⋊Q8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#126×C61—21no—
445#124×C61C2311yescharacteristic
446#124×C61C2311yescharacteristic
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61—21no—
450C22⋊Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×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×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—82no—
483C2×Q8×C61C2×D411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499Q8×D61—82no—
500D4×D61—22no—
501D4×D61—22no—
502C2×D244C2411yescharacteristic
503C2×C4×D61—21no—
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—82no—
511C2×C4×D61C2×D411yescharacteristic
512C2×C4×D61C2×D411yescharacteristic
513C2×C4×D61C2411yescharacteristic
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122C2×D411yescharacteristic
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2411yescharacteristic
524SD16×C61—22no—
525SD16×C61—22no—
526D8×C61—22no—
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
539C4⋊C4×C61C2×D411yescharacteristic
540C4⋊C4×C61C2×D411yescharacteristic
541C4⋊C4×C61C2411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C22⋊C4×C61—21no—
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C42×C61—21no—
554C42×C61—21no—
555C42×C61C2411yescharacteristic
556C42×C61C2411yescharacteristic
557C42×C61C2411yescharacteristic
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566#11758201—22no—
567#11758201—22no—
568#11758200—22no—
569#11758199—22no—
570#11758198—21no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198C2×D411yescharacteristic
582#11758198C2×D411yescharacteristic
583#11758198C2×D411yescharacteristic
584#11758198C2×D411yescharacteristic
585C4⋊Dic61—21no—
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⋊Dic61C2×D411yescharacteristic
598C4⋊Dic61C2×D411yescharacteristic
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2411yescharacteristic
601C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
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—21no—
670Q8×C61—21no—
671Q8×C61—21no—
672Q8×C61—21no—
673Q8×C61—41no—
674Q8×C61—42no—
675Q8×C61—81no—
676Q8×C61—81no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C612−1+412yes—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—42no—
688C2×C4×C61—81no—
689C2×C4×C61—81no—
690C2×C4×C61—81no—
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C2511yescharacteristic
698C22⋊D61—24no—
699C22⋊D61—81no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—42no—
708C2×Dic61—81no—
709C2×Dic61—81no—
710C2×Dic61—81no—
711C2×Dic61—81no—
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715C2×Dic61C22×D411yescharacteristic
716C2×Dic61C22×D411yescharacteristic
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719D244—21no—
720D2442−1+412yes—
721C4×D61—21no—
722C4×D61—21no—
723C4×D61—41no—
724C4×D61—41no—
725C4×D61—42no—
726C4×D61—81no—
727C4×D61—81no—
728C4×D61—81no—
729C4×D61—81no—
730C4×D61—81no—
731C4×D61—81no—
732Dic122—21no—
733Dic122—21no—
734Dic122—41no—
735Dic122—41no—
736Dic122—41no—
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#3389—611no—
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#3367D6111yescharacteristic, complemented
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—1221no—
841#556C2×D6111yescharacteristic, complemented
842#554—611no—
843#554—611no—
844#554—611no—
845#554—611no—
846#554—611no—
847#554—611no—
848#554—611no—
849#554—1221no—
850#554—1221no—
851#554—1221no—
852#552—1221no—
853D4×Q8—611no—
854D4×Q8—1221no—
855D4×Q8C2×D6111yescharacteristic
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#501—611no—
884#501—611no—
885#500—611no—
886#500—611no—
887#499—611no—
888#499—611no—
889#491—611no—
890#491—611no—
891#491—611no—
892#491—611no—
893#489—611no—
894#489—611no—
895#489C2×D6111yescharacteristic, complemented
896#489C2×D6111yescharacteristic, complemented
897#488—611no—
898#488—611no—
899#487—611no—
900#487C2×D6111yescharacteristic, complemented
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#478—611no—
928#478—611no—
929#478—611no—
930#478—611no—
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477C2×D6111yescharacteristic, complemented
936#477C2×D6111yescharacteristic, complemented
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#474—611no—
948#474C2×D6111yescharacteristic, complemented
949#463—611no—
950#463—611no—
951#463—611no—
952#463—611no—
953#463C2×D6111yescharacteristic
954#463C2×D6111yescharacteristic
955#461—611no—
956#461—611no—
957#461—611no—
958#461—611no—
959#461—611no—
960#461C2×D6111yescharacteristic
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#442—611no—
976#442—611no—
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#440C2×D6111yescharacteristic
988#440C2×D6111yescharacteristic
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—21no—
1005C22×Q8—1221no—
1006C22×D4—611no—
1007C23×C4—1221no—
1008C2×SD16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16C22×D6111yescharacteristic
1013C2×SD16C22×D6111yescharacteristic
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—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8C22×D6111yescharacteristic
1034C4⋊Q8C22×D6111yescharacteristic
1035C4⋊Q8C22×D6111yescharacteristic
1036C4⋊Q8C22×D6111yescharacteristic
1037#126—21no—
1038#126—21no—
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—611no—
1058#125—611no—
1059#125—611no—
1060#125—611no—
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#124—611no—
1076#124—1221no—
1077#124—1221no—
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—611no—
1091C22⋊Q8—611no—
1092C22⋊Q8—611no—
1093C22⋊Q8—611no—
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—
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—1221no—
1141C4×Q8—1221no—
1142C4×Q8—1221no—
1143C4×Q8—1221no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8C22×D6111yescharacteristic
1148C4×Q8C22×D6111yescharacteristic
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—611no—
1160C4×D4—611no—
1161C4×D4—1221no—
1162C4×D4—1221no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4—1221no—
1168C4×D4C22×D6111yescharacteristic
1169C4×D4C22×D6111yescharacteristic
1170C4×D4C22×D6111yescharacteristic
1171C4×D4C22×D6111yescharacteristic
1172#117—21no—
1173#117—611no—
1174#117—611no—
1175#117—611no—
1176#117—611no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—1221no—
1183C2×C4⋊C4—1221no—
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#107—611no—
1205#107—611no—
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#106—611no—
1216#106—611no—
1217#106—611no—
1218#106—611no—
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#103C22×D6111yescharacteristic
1244#103C22×D6111yescharacteristic
1245#103C22×D6111yescharacteristic
1246#103C22×D6111yescharacteristic
1247#103C22×D6111yescharacteristic
1248#103C22×D6111yescharacteristic
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#102—611no—
1258#102—611no—
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—21no—
1283C2×Q8—82no—
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—4882no—
1295C2×Q8D4×D6111yescharacteristic
1296C2×Q8C23×D6111yescharacteristic
1297C2×Q8C23×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—611no—
1310C22×C4—611no—
1311C22×C4—611no—
1312C22×C4—1221no—
1313C22×C4—1221no—
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—22no—
1326SD16—22no—
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—611no—
1349C4⋊C4—611no—
1350C4⋊C4—611no—
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—1221no—
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⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4D4×D6111yescharacteristic
1407C4⋊C4D4×D6111yescharacteristic
1408C4⋊C4D4×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—21no—
1420C22⋊C4—21no—
1421C22⋊C4—611no—
1422C22⋊C4—611no—
1423C22⋊C4—611no—
1424C22⋊C4—611no—
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—21no—
1445C42—21no—
1446C42—611no—
1447C42—611no—
1448C42—611no—
1449C42—611no—
1450C42—611no—
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—21no—
1471Q8—21no—
1472Q8—21no—
1473Q8—21no—
1474Q8—41no—
1475Q8—42no—
1476Q8—81no—
1477Q8—81no—
1478Q8—1221no—
1479Q8—1221no—
1480Q8—4881no—
1481Q8—4881no—
1482Q8—4881no—
1483Q8—4881no—
1484Q8—4881no—
1485Q8—4881no—
1486Q8—2441no—
1487Q8—2441no—
1488Q8—2441no—
1489D4—21no—
1490D4—21no—
1491D4—21no—
1492D4—612no—
1493D4—1224no—
1494D4—1221no—
1495D4—4881no—
1496D4#1451982412yes—
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—611no—
1508C2×C4—611no—
1509C2×C4—611no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—611no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—4881no—
1524C2×C4—4881no—
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×#1451982411yescharacteristic
1594C2—42no—
1595C2—81no—
1596C2—2441no—
1597C2—2442no—
1598C2#2145946511yescharacteristic
1599C2#2146059511yescharacteristic
1600C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3367C2
socleC22×C61C23×D4
prime radical#16839894C22
hypercenter#3367D61
hypocenterC61#61873
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3367

Complements

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

NH ≅ G/Ntype
1. #21460306C2semidirect
2. #21459614C2semidirect
3. #21458775C2semidirect
4. #21458772C2semidirect
5. #21458769C2semidirect
6. #21458766C2semidirect
7. #21458743C2semidirect
8. #21458740C2semidirect
9. #21458730C2semidirect
10. #21458728C2semidirect
11. #21458650C2semidirect
12. #21458645C2semidirect
13. #21458643C2semidirect
14. #21458640C2semidirect
15. #21458605C2semidirect
16. #21458595C2semidirect
17. #21458534C2semidirect
18. #21457099C2semidirect
19. #21457097C2semidirect
20. #21457086C2semidirect
21. #21457080C2semidirect
22. #21457056C2semidirect
23. #21457031C2semidirect
24. #21456070C2semidirect
25. #21456069C2semidirect
29. #21455916C2semidirect
30. #21454922C2semidirect
31. C61×#3367C2semidirect
34. Q8×Dic122C22semidirect
35. #16840490C22semidirect
36. #16840488C22semidirect
37. #16840487C22semidirect
38. #16840481C22semidirect
39. #16840481C22semidirect
46. #16840471C22semidirect
75. #16840171C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840170C22semidirect
79. #16840170C22semidirect
80. #16840170C22semidirect
81. #16840168C22semidirect
82. #16840168C22semidirect
83. #16840166C22semidirect
84. #16840165C22semidirect
85. #16840164C22semidirect
86. #16840163C22semidirect
87. #16840130C22semidirect
88. #16840129C22semidirect
89. #16840129C22semidirect
90. #16840129C22semidirect
91. #16840121C22semidirect
92. #16840120C22semidirect
93. #16840116C22semidirect
94. #16840115C22semidirect
95. #16840111C22semidirect
108. #16840071C22semidirect
109. #16840070C22semidirect
110. #16840070C22semidirect
111. #16840069C22semidirect
112. #16840067C22semidirect
113. #16840067C22semidirect
114. #16840067C22semidirect
115. #16840067C22semidirect
117. #16840064C22semidirect
122. #16840062C22semidirect
124. #16840060C22semidirect
125. #16840060C22semidirect
126. #16840055C22semidirect
127. #16840055C22semidirect
128. #16840054C22semidirect
129. #16840054C22semidirect
132. #16840048C22semidirect
133. #16840047C22semidirect
134. #16840045C22semidirect
135. #16840044C22semidirect
140. #16840040C22semidirect
154. #16839893C22semidirect
155. #16839892C22semidirect
156. #16839891C22semidirect
157. #16839891C22semidirect
158. #16839890C22semidirect
159. #16839890C22semidirect
160. #16839889C22semidirect
188. C61×#556C22semidirect
190. C61×#489C22semidirect
191. C61×#489C22semidirect
192. C61×#487C22semidirect
193. C61×#477C22semidirect
194. C61×#477C22semidirect
195. C61×#474C22semidirect
199. C61×#446C22semidirect
811. #3367D61semidirect
841. #556C2×D61semidirect
895. #489C2×D61semidirect
896. #489C2×D61semidirect
900. #487C2×D61semidirect
935. #477C2×D61semidirect
936. #477C2×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
#214603062
#214596142
#214587752
#214587722
#214587692
#214587662
#214587432
#214587402
#214587302
#214587282
#214586502
#214586452
#214586432
#214586402
#214586052
#214585952
#214585342
#214570992
#214570972
#214570862
#214570802
#214570562
#214570312
#214560702
#214560692
#214560022
#214559992
#214559562
#214559162
#214549222
C61×#33672
#6187361