Finite Group Databasebeta

← #30560767

Subgroups — #30560767

Order 15616.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459639C211yesmaximal, characteristic, complemented
2#21459633C211yesmaximal, characteristic, complemented
3#21458789C211yesmaximal, characteristic, complemented
4#21458783C211yesmaximal, characteristic, complemented
5#21458778C211yesmaximal, characteristic, complemented
6#21458768C211yesmaximal, characteristic, complemented
7#21458764C211yesmaximal, characteristic, complemented
8#21458761C211yesmaximal, characteristic, complemented
9#21458761C211yesmaximal, characteristic, complemented
10#21458753C211yesmaximal, characteristic, complemented
11#21458748C211yesmaximal, characteristic, complemented
12#21458744C211yesmaximal, characteristic, complemented
13#21458735C211yesmaximal, characteristic, complemented
14#21458729C211yesmaximal, characteristic, complemented
15#21458724C211yesmaximal, characteristic, complemented
16#21458719C211yesmaximal, characteristic, complemented
17#21458716C211yesmaximal, characteristic, complemented
18#21456354C211yesmaximal, characteristic, complemented
19#21456348C211yesmaximal, characteristic, complemented
20#501×D61C211yesmaximal, characteristic, complemented
21#21455682C211yesmaximal, characteristic, complemented
22#21455682C211yesmaximal, characteristic, complemented
23#21455671C211yesmaximal, characteristic, complemented
24#21455665C211yesmaximal, characteristic, complemented
25#21455636C211yesmaximal, characteristic, complemented
26#21455627C211yesmaximal, characteristic, complemented
27#21454755C211yesmaximal, characteristic, complemented
28#21454701C211yesmaximal, characteristic
29#21454689C211yesmaximal, characteristic
30#21454616C211yesmaximal, characteristic
31C61×#3389C211yesmaximal, characteristic, complemented
32C2×#14519796C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic
34#16840492C2211yescharacteristic
35#16840490C2211yescharacteristic
36#16840489C2211yescharacteristic
37#16840489C2211yescharacteristic
38#16840489C2211yescharacteristic
39#16840489C2211yescharacteristic
40#16840487C2211yescharacteristic
41#16840471C2211yescharacteristic
42#16840471C2211yescharacteristic
43#16840470—21no—
44#16840470—21no—
45#16840469C2211yescharacteristic
46#16840469C2211yescharacteristic
47#16840467—21no—
48#16840467—21no—
49#16840466—21no—
50#16840466—21no—
51D4×Dic122C2211yescharacteristic
52D4×Dic122C2211yescharacteristic
53#16840425—21no—
54#16840425—21no—
55#16840392C2211yescharacteristic
56#16840392C2211yescharacteristic
57#16840392C2211yescharacteristic
58#16840391—21no—
59#16840391—21no—
60#16840391—21no—
61#16840391—21no—
62#16840389C2211yescharacteristic
63#16840316C2211yescharacteristic
64#16840314—21no—
65#16840314—21no—
66C2×#14519776—21no—
67C4⋊Q8×D61C2211yescharacteristic
68C2×#14519767—21no—
69#125×D61C2211yescharacteristic
70#16840241C2211yescharacteristic
71#16840241C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75C4×#11758224C2211yescharacteristic
76#16840172C2211yescharacteristic
77#16840172C2211yescharacteristic
78#16840172C2211yescharacteristic
79#16840171C2211yescharacteristic
80#16840171C2211yescharacteristic
81#16840170C2211yescharacteristic
82#16840170C2211yescharacteristic
83#16840170C2211yescharacteristic
84#16840170C2211yescharacteristic
85#16840170C2211yescharacteristic
86#16840169C2211yescharacteristic
87#16840169C2211yescharacteristic
88#16840169C2211yescharacteristic
89#16840168C2211yescharacteristic
90#16840166C2211yescharacteristic
91#16840165C2211yescharacteristic
92#16840162C2211yescharacteristic
93#16840162C2211yescharacteristic
94#16840161C2211yescharacteristic
95#16840160C2211yescharacteristic
96#16840159C2211yescharacteristic
97#16840072C2211yescharacteristic
98#16840072C2211yescharacteristic
99#16840070C2211yescharacteristic
100#16840070C2211yescharacteristic
101#16840068C2211yescharacteristic
102#16840068C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840066C2211yescharacteristic
107#16840066C2211yescharacteristic
108#16840066C2211yescharacteristic
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic
111#16840064C2211yescharacteristic
112#16840064C2211yescharacteristic
113#16840062C2211yescharacteristic
114#16840062C2211yescharacteristic
115#16840060C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840058C2211yescharacteristic
118#16840056C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840056C2211yescharacteristic
122#16840054C2211yescharacteristic
123#16840052C2211yescharacteristic
124#16840052C2211yescharacteristic
125#16840050C2211yescharacteristic
126#16840050C2211yescharacteristic
127#16840050C2211yescharacteristic
128#16840050C2211yescharacteristic
129#16840048C2211yescharacteristic
130#16840048C2211yescharacteristic
131#16840048C2211yescharacteristic
132#16840046C2211yescharacteristic
133#16840046C2211yescharacteristic
134#16840044C2211yescharacteristic
135#16840042C2211yescharacteristic
136#16840042C2211yescharacteristic
137#16840040C2211yescharacteristic
138#16840040C2211yescharacteristic
139#16839893C2211yescharacteristic
140#16839892C2211yescharacteristic
141#16839891C2211yescharacteristic
142#16839891C2211yescharacteristic
143#16839890C2211yescharacteristic
144#16839890C2211yescharacteristic
145#16839889C2211yescharacteristic
146#16839874C2211yescharacteristic
147#16839874C2211yescharacteristic
148#16839870C2211yescharacteristic
149#16839870C2211yescharacteristic
150#16839868C2211yescharacteristic
151#16839868C2211yescharacteristic
152#16839862C2211yescharacteristic
153#16839862C2211yescharacteristic
154#16839862C2211yescharacteristic
155#16839862C2211yescharacteristic
156#16839859C2211yescharacteristic
157#16839859C2211yescharacteristic
158#16839859C2211yescharacteristic
159#16839859C2211yescharacteristic
160C4×Dic244C2211yescharacteristic
161#16839856C2211yescharacteristic
162#16839853C2211yescharacteristic
163#16839853C2211yescharacteristic
164C4×#11758200C2211yescharacteristic
165C4×#11758200C2211yescharacteristic
166D8×Dic61C2211yescharacteristic
167#16839803C2211yescharacteristic
168#16839803C2211yescharacteristic
169#16839803C2211yescharacteristic
170#16839801C2211yescharacteristic
171#16839797C2211yescharacteristic
172#107×D61C2211yescharacteristic
173#107×D61C2211yescharacteristic
174#106×D61C2211yescharacteristic
175#106×D61C2211yescharacteristic
176#16839787C2211yescharacteristic
177#16839787C2211yescharacteristic
178#16839784C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839760C2211yescharacteristic
181#16839760C2211yescharacteristic
182#16839760C2211yescharacteristic
183#16839755C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#501C2211yescharacteristic
192C61×#499C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#478C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#474C2211yescharacteristic
198C61×#474C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#442C2211yescharacteristic
201C61×#442C2211yescharacteristic
202C4×D8×C61C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122—21no—
206C22×Dic122—21no—
207C2×Q8×D61—21no—
208#14519796Q818yescomplemented
209C2×Dic244C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758189C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×C8×D61C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776D411yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519775—21no—
240#14519775—21no—
241#14519775—21no—
242#14519775—21no—
243#14519775—21no—
244#14519775—21no—
245#14519775D411yescharacteristic
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
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#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767D411yescharacteristic
273#14519767D411yescharacteristic
274#14519757—21no—
275#14519757—21no—
276#14519757—21no—
277#14519757D411yescharacteristic
278#14519756—21no—
279#14519756—21no—
280#14519756—21no—
281#14519756—21no—
282#14519756—21no—
283#14519756—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755D411yescharacteristic
289#14519755D411yescharacteristic
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#14519754—21no—
301#14519754—21no—
302#14519753—21no—
303#14519753D411yescharacteristic
304Q8×Dic61—21no—
305Q8×Dic61—21no—
306C4×Dic122C2311yescharacteristic
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519735C2311yescharacteristic
346#14519735C2311yescharacteristic
347#14519734C2311yescharacteristic
348#14519734C2311yescharacteristic
349#14519733—21no—
350#14519733—21no—
351#14519733—21no—
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355C2×C4⋊Dic61—21no—
356C2×C4⋊Dic61—21no—
357C2×#11758196—21no—
358C2×#11758196—21no—
359C2×#11758196—21no—
360C2×#11758196—21no—
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C2×C4×Dic61—21no—
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519710C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519688C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×D8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C2×C4⋊C4×C61—21no—
457C2×C4⋊C4×C61—21no—
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C4×C8×C61C2311yescharacteristic
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×D4×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500Q8×D61—82no—
501#11758224—22no—
502#11758224—22no—
503#11758224C2×Q814yes—
504#11758224C2×Q814yescomplemented
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61C2×D411yescharacteristic
510C2×C4×D61C2×D411yescharacteristic
511C2×C4×D61C2411yescharacteristic
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—82no—
523C2×Dic122—82no—
524C2×Dic122C2×D411yescharacteristic
525C2×Dic122C2×D411yescharacteristic
526C2×Dic122C2×D411yescharacteristic
527C2×Dic122C2411yescharacteristic
528C2×Dic122C2411yescharacteristic
529D8×C61C2×Q814yescomplemented
530C2×C8×C61C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61C2×D411yescharacteristic
545C4⋊C4×C61C2×D411yescharacteristic
546C4⋊C4×C61C2×D411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C42×C61C2411yescharacteristic
560C42×C61C2411yescharacteristic
561C42×C61C2411yescharacteristic
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568#11758200C2×Q814yescomplemented
569#11758200C2×Q814yescomplemented
570#11758198—21no—
571#11758198—21no—
572#11758198C2×D411yescharacteristic
573#11758198C2×D411yescharacteristic
574#11758198C2×D411yescharacteristic
575#11758198C2×D411yescharacteristic
576C4⋊Dic61—21no—
577C4⋊Dic61—21no—
578C4⋊Dic61—21no—
579C4⋊Dic61—21no—
580C4⋊Dic61—21no—
581C4⋊Dic61—21no—
582C4⋊Dic61—21no—
583C4⋊Dic61—21no—
584C4⋊Dic61—21no—
585C4⋊Dic61—21no—
586C4⋊Dic61C2×D411yescharacteristic
587C4⋊Dic61C2×D411yescharacteristic
588C4⋊Dic61C2×D411yescharacteristic
589C4⋊Dic61C2411yescharacteristic
590C4⋊Dic61C2411yescharacteristic
591C4⋊Dic61C2411yescharacteristic
592C4⋊Dic61C2411yescharacteristic
593C4⋊Dic61C2411yescharacteristic
594C4⋊Dic61C2411yescharacteristic
595#11758196—21no—
596#11758196—21no—
597#11758196—21no—
598#11758196—21no—
599#11758196—21no—
600#11758196—21no—
601#11758196—21no—
602#11758196—21no—
603#11758196—21no—
604#11758196—21no—
605#11758196—21no—
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#11758196C2×D411yescharacteristic
628#11758196C2×D411yescharacteristic
629#11758196C2×D411yescharacteristic
630#11758196C2×D411yescharacteristic
631#11758196C2×D411yescharacteristic
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637C4×Dic61—21no—
638C4×Dic61—21no—
639C4×Dic61—21no—
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660Dic244C2×Q814yescomplemented
661#11758189—22no—
662#11758189—22no—
663C8×D61—22no—
664C8×D61C2×Q814yescomplemented
665C23×C61—21no—
666C23×C61—21no—
667C22×D61C22×D411yescharacteristic
668Q8×C61—41no—
669Q8×C61—81no—
670Q8×C61—81no—
671D4×C61—21no—
672D4×C61—21no—
673D4×C61C22×Q812yes—
674D4×C61C22×Q812yes—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—42no—
682C2×C4×C61—81no—
683C2×C4×C61—81no—
684C2×C4×C61—81no—
685C2×C4×C61—81no—
686C2×C4×C61—81no—
687C2×C4×C61C22×D411yescharacteristic
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C2511yescharacteristic
694C22⋊D61—24no—
695C22⋊D61—24no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—24no—
699C2×Dic61—24no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—42no—
707C2×Dic61—81no—
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
719C4×D61—41no—
720C4×D61—41no—
721C4×D61—81no—
722C4×D61—81no—
723C4×D61—81no—
724C4×D61—81no—
725C4×D61C22×Q812yes—
726C4×D612−1+412yes—
727Dic122—21no—
728Dic122—21no—
729Dic122—41no—
730Dic122—41no—
731Dic122—41no—
732Dic122—42no—
733Dic122—42no—
734Dic122—81no—
735Dic122—81no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic122C22×Q812yes—
743Dic122C22×Q812yes—
744C8×C61—21no—
745C8×C61—21no—
746C8×C61—21no—
747C8×C61C22×Q812yes—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#92418C22×Q812yes—
752#61380—611nomaximal, Sylow
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61C23×D411yescharacteristic
760C2×D61—21no—
761C2×D61—21no—
762C2×D61D4×Q812yes—
763C4×C61—21no—
764C4×C61—21no—
765C4×C61—21no—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775C4×C61C23×Q811yescharacteristic
776C4×C61C2×2−1+411yescharacteristic
777Dic61—21no—
778Dic61—21no—
779Dic61—21no—
780Dic61—21no—
781Dic61—21no—
782Dic61—21no—
783Dic61—22no—
784Dic61—22no—
785Dic61—41no—
786Dic61—41no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61D4×Q812yes—
792#3504—611no—
793#3503—611no—
794#3390—611no—
795#3390—611no—
796#3389—611no—
797#3389D6111yescharacteristic, complemented
798#3388—611no—
799#3388—611no—
800#3388—611no—
801#3388—611no—
802#3387—611no—
803#3387—611no—
804#3386—611no—
805#3386—611no—
806#3385—611no—
807#3385—611no—
808#3384—611no—
809#3384—611no—
810#3164—611no—
811#3163—611no—
812C2×#501—611no—
813#3084—611no—
814#3084—611no—
815#3083—611no—
816#3083—611no—
817#3080—611no—
818#3079—611no—
819#2961—611no—
820#2952—611no—
821#2951—611no—
822#2943—611no—
823C2×C61—42no—
824C2×C61—42no—
825C2×C61C2×D4×Q811yescharacteristic
826C2×C61#358511yescharacteristic
827C2×C61#358611yescharacteristic
828D61—22no—
829C2×#135—611no—
830Q82—611no—
831Q82—611no—
832#557—611no—
833#557—611no—
834#557—611no—
835#557—611no—
836#557—611no—
837#557—611no—
838#554—611no—
839#554—611no—
840#554—611no—
841#554—611no—
842#554—1221no—
843#554—1221no—
844#554—1221no—
845#554—1221no—
846#554—1221no—
847#554—1221no—
848#554C2×D6111yescharacteristic
849#554C2×D6111yescharacteristic
850D4×Q8—611no—
851D4×Q8—611no—
852D4×Q8—1221no—
853D4×Q8—1221no—
854#544—611no—
855#544—611no—
856#544—611no—
857#544—611no—
858#544—1221no—
859#544—1221no—
860#544—1221no—
861#544—1221no—
862#533—611no—
863#533—1221no—
864#533—1221no—
865C2×C4⋊Q8—611no—
866C2×C4⋊Q8—1221no—
867C2×#125—611no—
868C2×#125—1221no—
869#520—611no—
870#520—611no—
871#520—611no—
872#520—611no—
873C4×#41—611no—
874C4×#41—611no—
875#501—611no—
876#501—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#501—611no—
886#501—611no—
887#501—611no—
888#501—611no—
889#501C2×D6111yescharacteristic
890#501C2×D6111yescharacteristic
891#500—611no—
892#500—611no—
893#499—611no—
894#499—611no—
895#499—611no—
896#499C2×D6111yescharacteristic
897#498—611no—
898#498—611no—
899#479—611no—
900#479—611no—
901#479—611no—
902#479—611no—
903#479—611no—
904#479—611no—
905#479—611no—
906#479—611no—
907#479—611no—
908#479—611no—
909#479—611no—
910#479—611no—
911#478—611no—
912#478—611no—
913#478—611no—
914#478—611no—
915#478—611no—
916#478—611no—
917#478—611no—
918#478—611no—
919#478C2×D6111yescharacteristic
920#478C2×D6111yescharacteristic
921#478C2×D6111yescharacteristic
922#478C2×D6111yescharacteristic
923#477—611no—
924#477—611no—
925#477—611no—
926#477—611no—
927#477—611no—
928#477—611no—
929#476—611no—
930#476—611no—
931#476—611no—
932#476—611no—
933#476—611no—
934#476—611no—
935#475—611no—
936#475—611no—
937#475—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#474—611no—
942#474—611no—
943#474—611no—
944#474—611no—
945#474C2×D6111yescharacteristic
946#474C2×D6111yescharacteristic
947#446—611no—
948#446—611no—
949#446—611no—
950#446—611no—
951#446—611no—
952#446—611no—
953#446—611no—
954#446C2×D6111yescharacteristic
955#442—611no—
956#442—611no—
957#442C2×D6111yescharacteristic
958#442C2×D6111yescharacteristic
959#441—611no—
960#441—611no—
961#441—611no—
962#441—611no—
963#440—611no—
964#440—611no—
965#440—611no—
966#440—611no—
967#440—611no—
968#440—611no—
969#440—611no—
970#440—611no—
971C4×Q16—611no—
972C4×Q16—611no—
973C4×SD16—611no—
974C4×SD16—611no—
975C4×SD16—611no—
976C4×SD16—611no—
977C4×D8—611no—
978C4×D8C2×D6111yescharacteristic
979#428—611no—
980#428—611no—
981#428—611no—
982#428—611no—
983#427—611no—
984C2×#107—611no—
985C2×#107—611no—
986C2×#106—611no—
987C2×#106—611no—
988#424—611no—
989#424—611no—
990#423—611no—
991#417—611no—
992#417—611no—
993#417—611no—
994#417—611no—
995#416—611no—
996#416—611no—
997#405—611no—
998#405—611no—
999C2×#97—611no—
1000C61#6138011yescharacteristic, complemented, Sylow
1001C2×#41—611no—
1002C2×#41—611no—
1003C22×Q8—1221no—
1004C22×Q8—1221no—
1005C22×Q8—1221no—
1006#135—618no—
1007C2×Q16—611no—
1008C2×SD16—611no—
1009C2×SD16—611no—
1010C2×D8C22×D6111yescharacteristic
1011C2×M16—611no—
1012C2×M16—611no—
1013C22×C8—611no—
1014C22×C8—611no—
1015C4⋊Q8—611no—
1016C4⋊Q8—611no—
1017C4⋊Q8—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—611no—
1026C4⋊Q8—611no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8—1221no—
1045C4⋊Q8C22×D6111yescharacteristic
1046C4⋊Q8C22×D6111yescharacteristic
1047#125—611no—
1048#125—611no—
1049#125—611no—
1050#125—611no—
1051#125—611no—
1052#125—611no—
1053#125—611no—
1054#125—611no—
1055#125—611no—
1056#125—611no—
1057#125—1221no—
1058#125—1221no—
1059#125—1221no—
1060#125—1221no—
1061#125—1221no—
1062#125—1221no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#125C22×D6111yescharacteristic
1078#125C22×D6111yescharacteristic
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—611no—
1086C22⋊Q8—611no—
1087C22⋊Q8—611no—
1088C22⋊Q8—611no—
1089C22⋊Q8—1221no—
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—
1115C4×Q8—611no—
1116C4×Q8—611no—
1117C4×Q8—611no—
1118C4×Q8—611no—
1119C4×Q8—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—1221no—
1131C4×Q8—1221no—
1132C4×Q8—1221no—
1133C4×Q8—1221no—
1134C4×Q8—1221no—
1135C4×Q8—1221no—
1136C4×Q8—1221no—
1137C4×Q8—1221no—
1138C4×Q8C22×D6111yescharacteristic
1139C4×D4—611no—
1140C4×D4—611no—
1141C4×D4—611no—
1142C4×D4—611no—
1143C4×D4—611no—
1144C4×D4—611no—
1145C4×D4—1221no—
1146C4×D4—1221no—
1147C4×D4—1221no—
1148C4×D4—1221no—
1149C4×D4—1221no—
1150C4×D4—1221no—
1151C4×D4—1221no—
1152C4×D4—1221no—
1153C4×D4—1221no—
1154C4×D4—1221no—
1155C4×D4—1221no—
1156C4×D4—1221no—
1157C4×D4C22×D6111yescharacteristic
1158C4×D4C22×D6111yescharacteristic
1159C4×D4C22×D6111yescharacteristic
1160C4×D4C22×D6111yescharacteristic
1161C4×D4C22×D6111yescharacteristic
1162C4×D4C22×D6111yescharacteristic
1163#117—611no—
1164#117—611no—
1165#117—611no—
1166#117—611no—
1167#117—1221no—
1168#117—1221no—
1169#117—1221no—
1170#117—1221no—
1171#117—1221no—
1172#117—1221no—
1173C2×C4⋊C4—21no—
1174C2×C4⋊C4—21no—
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4—611no—
1177C2×C4⋊C4—611no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—1221no—
1180C2×C4⋊C4—1221no—
1181C2×C4⋊C4—1221no—
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×C4⋊C4—1221no—
1190C2×C42—611no—
1191C2×C42—1221no—
1192C2×C42—1221no—
1193#107—611no—
1194#107—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#107C22×D6111yescharacteristic
1210#107C22×D6111yescharacteristic
1211#106—611no—
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#106—611no—
1225#106C22×D6111yescharacteristic
1226#106C22×D6111yescharacteristic
1227#106C22×D6111yescharacteristic
1228#106C22×D6111yescharacteristic
1229C4⋊C8—611no—
1230C4⋊C8—611no—
1231C4⋊C8—611no—
1232C4⋊C8—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8C22×D6111yescharacteristic
1239C4⋊C8C22×D6111yescharacteristic
1240C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1251#103—611no—
1252#103—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
1263#102C22×D6111yescharacteristic
1264#102C22×D6111yescharacteristic
1265#97—611no—
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97C22×D6111yescharacteristic
1272#97C22×D6111yescharacteristic
1273C4×C8—611no—
1274C4×C8—611no—
1275C4×C8—611no—
1276C4×C8C22×D6111yescharacteristic
1277#41—614no—
1278#41—614no—
1279#41—1222no—
1280#41—1222no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—611no—
1284C2×Q8—611no—
1285C2×Q8—611no—
1286C2×Q8—611no—
1287C2×Q8—611no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—1221no—
1292C2×Q8—1221no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—4882no—
1299C2×Q8—4882no—
1300C2×Q8—4882no—
1301C2×Q8D4×D6111yescharacteristic
1302C2×D4—1221no—
1303C2×D4—1221no—
1304C2×D4C23×D6111yescharacteristic
1305C2×D4C23×D6111yescharacteristic
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—611no—
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—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327Q16—614no—
1328SD16—614no—
1329SD16—614no—
1330D8Q8×D6114yescomplemented
1331M16—1222no—
1332M16—1222no—
1333C2×C8—611no—
1334C2×C8—614no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8—611no—
1338C2×C8—1222no—
1339C2×C8C23×D6111yescharacteristic
1340C2×C8C23×D6111yescharacteristic
1341C2×C8C23×D6111yescharacteristic
1342C2×C8C23×D6111yescharacteristic
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—611no—
1354C4⋊C4—611no—
1355C4⋊C4—611no—
1356C4⋊C4—611no—
1357C4⋊C4—611no—
1358C4⋊C4—611no—
1359C4⋊C4—611no—
1360C4⋊C4—611no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
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⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4D4×D6111yescharacteristic
1415C4⋊C4D4×D6111yescharacteristic
1416C4⋊C4D4×D6111yescharacteristic
1417C4⋊C4C23×D6111yescharacteristic
1418C4⋊C4C23×D6111yescharacteristic
1419C4⋊C4C23×D6111yescharacteristic
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C4⋊C4C23×D6111yescharacteristic
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
1431C22⋊C4—611no—
1432C22⋊C4—611no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C42—611no—
1442C42—611no—
1443C42—611no—
1444C42—611no—
1445C42—611no—
1446C42—1221no—
1447C42—1221no—
1448C42—1221no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42—1221no—
1455C42—1221no—
1456C42—1221no—
1457C42—1221no—
1458C42—1221no—
1459C42—1221no—
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C42C23×D6111yescharacteristic
1463C23—21no—
1464C23—21no—
1465C23—611no—
1466Q8—41no—
1467Q8—81no—
1468Q8—81no—
1469Q8—612no—
1470Q8—612no—
1471Q8—1221no—
1472Q8—1221no—
1473Q8—4881no—
1474Q8—4881no—
1475Q8—4881no—
1476Q8—4881no—
1477Q8—4881no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—2441no—
1482Q8—2441no—
1483Q8—2441no—
1484Q8—2442no—
1485Q8—2442no—
1486D4—21no—
1487D4—21no—
1488D4—1224no—
1489D4—1224no—
1490D4C2×Q8×D6112yes—
1491D4C2×Q8×D6112yes—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—42no—
1499C2×C4—81no—
1500C2×C4—81no—
1501C2×C4—81no—
1502C2×C4—81no—
1503C2×C4—81no—
1504C2×C4—611no—
1505C2×C4—612no—
1506C2×C4—612no—
1507C2×C4—611no—
1508C2×C4—611no—
1509C2×C4—611no—
1510C2×C4—611no—
1511C2×C4—611no—
1512C2×C4—611no—
1513C2×C4—1224no—
1514C2×C4—1224no—
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—2441no—
1533C2×C4—2441no—
1534C2×C4—2442no—
1535C2×C4C2×D4×D6111yescharacteristic
1536C2×C4C2×D4×D6111yescharacteristic
1537C2×C4C2×D4×D6111yescharacteristic
1538C2×C4C2×D4×D6111yescharacteristic
1539C2×C4C2×D4×D6111yescharacteristic
1540C2×C4C2×D4×D6111yescharacteristic
1541C2×C4C24×D6111yescharacteristic
1542C8—21no—
1543C8—21no—
1544C8—21no—
1545C8—612no—
1546C8—1221no—
1547C8—1221no—
1548C8—1221no—
1549C8C2×Q8×D6112yes—
1550C22—22no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—612no—
1557C22—1221no—
1558C22—1221no—
1559C22C22×D4×D6111yescharacteristic
1560C4—21no—
1561C4—21no—
1562C4—21no—
1563C4—21no—
1564C4—21no—
1565C4—21no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—612no—
1573C4—1222no—
1574C4—1222no—
1575C4—1221no—
1576C4—1221no—
1577C4—1221no—
1578C4—1221no—
1579C4—1221no—
1580C4—1221no—
1581C4—2441no—
1582C4—2441no—
1583C4—2441no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4C22×Q8×D6111yescharacteristic
1588C42−1+4×D6111yescharacteristic
1589C2—42no—
1590C2—42no—
1591C2—1222no—
1592C2D4×Q8×D6111yescharacteristic
1593C2#2146059411yescharacteristic
1594C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3389C2
socleC22×C61C23×D4
prime radicalC2×#14519796C22
hypercenter#3389D61
hypocenterC61#61380
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #21459639C2semidirect
2. #21459633C2semidirect
3. #21458789C2semidirect
4. #21458783C2semidirect
5. #21458778C2semidirect
6. #21458768C2semidirect
7. #21458764C2semidirect
8. #21458761C2semidirect
9. #21458761C2semidirect
10. #21458753C2semidirect
11. #21458748C2semidirect
12. #21458744C2semidirect
13. #21458735C2semidirect
14. #21458729C2semidirect
15. #21458724C2semidirect
16. #21458719C2semidirect
17. #21458716C2semidirect
18. #21456354C2semidirect
19. #21456348C2semidirect
20. #501×D61C2semidirect
21. #21455682C2semidirect
22. #21455682C2semidirect
23. #21455671C2semidirect
24. #21455665C2semidirect
25. #21455636C2semidirect
26. #21455627C2semidirect
27. #21454755C2semidirect
31. C61×#3389C2semidirect
208. #14519796Q8semidirect
504. #11758224C2×Q8semidirect
529. D8×C61C2×Q8semidirect
568. #11758200C2×Q8semidirect
569. #11758200C2×Q8semidirect
660. Dic244C2×Q8semidirect
664. C8×D61C2×Q8semidirect
797. #3389D61semidirect
1000. C61#61380semidirect
1330. D8Q8×D61semidirect

Maximal subgroups

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

subgroupindex
#214596392
#214596332
#214587892
#214587832
#214587782
#214587682
#214587642
#214587612
#214587532
#214587482
#214587442
#214587352
#214587292
#214587242
#214587192
#214587162
#214563542
#214563482
#501×D612
#214556822
#214556712
#214556652
#214556362
#214556272
#214547552
#214547012
#214546892
#214546162
C61×#33892
#6138061