Finite Group Databasebeta

← #30559554

Subgroups — #30559554

Order 15616.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459737C211yesmaximal, characteristic, complemented
2#21459723C211yesmaximal, characteristic, complemented
3#21458369C211yesmaximal, characteristic, complemented
4#21458356C211yesmaximal, characteristic, complemented
5#21458343C211yesmaximal, characteristic, complemented
6#21458335C211yesmaximal, characteristic, complemented
7#21458330C211yesmaximal, characteristic, complemented
8#21458323C211yesmaximal, characteristic, complemented
9#21458312C211yesmaximal, characteristic, complemented
10#21458310C211yesmaximal, characteristic, complemented
11#21458299C211yesmaximal, characteristic, complemented
12#21458296C211yesmaximal, characteristic, complemented
13#21458283C211yesmaximal, characteristic, complemented
14#21458278C211yesmaximal, characteristic, complemented
15#21458267C211yesmaximal, characteristic, complemented
16#21458261C211yesmaximal, characteristic, complemented
17#21458258C211yesmaximal, characteristic, complemented
18#501×D61C211yesmaximal, characteristic, complemented
19#21455811C211yesmaximal, characteristic, complemented
20#21455803C211yesmaximal, characteristic, complemented
21#21455800C211yesmaximal, characteristic, complemented
22#21455794C211yesmaximal, characteristic, complemented
23#21455638C211yesmaximal, characteristic, complemented
24#21455631C211yesmaximal, characteristic, complemented
25#21455487C211yesmaximal, characteristic, complemented
26#21455476C211yesmaximal, characteristic, complemented
27#21454614C211yesmaximal, characteristic, complemented
28#21454533C211yesmaximal, characteristic, complemented
29#21454416C211yesmaximal, characteristic, complemented
30#21454413C211yesmaximal, characteristic, complemented
31C61×#3350C211yesmaximal, characteristic, complemented
32C2×#14519798C2211yescharacteristic
33C2×#14519785C2211yescharacteristic
34C2×#14519783C2211yescharacteristic
35#16840485C2211yescharacteristic
36#16840475C2211yescharacteristic
37#16840475C2211yescharacteristic
38#16840470C2211yescharacteristic
39#16840470C2211yescharacteristic
40#16840464C2211yescharacteristic
41#16840463—21no—
42#16840463—21no—
43#16840463—21no—
44#16840462—21no—
45#16840462C2211yescharacteristic
46#16840459—21no—
47#16840459C2211yescharacteristic
48#16840457—21no—
49#16840452C2211yescharacteristic
50#16840451C2211yescharacteristic
51#16840450C2211yescharacteristic
52#16840447C2211yescharacteristic
53#16840424—21no—
54#16840420—21no—
55#16840416C2211yescharacteristic
56#16840415C2211yescharacteristic
57#16840378—21no—
58#16840378—21no—
59#16840369—21no—
60#16840362—21no—
61#16840342C2211yescharacteristic
62#16840342C2211yescharacteristic
63#16840341C2211yescharacteristic
64#16840341C2211yescharacteristic
65#16840316—21no—
66#16840311—21no—
67#16840309C2211yescharacteristic
68C4⋊Q8×D61C2211yescharacteristic
69#16840292—21no—
70#16840289—21no—
71#125×D61C2211yescharacteristic
72#16840243C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840242C2211yescharacteristic
75#16840242C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758224C2211yescharacteristic
78#16840172C2211yescharacteristic
79#16840171C2211yescharacteristic
80#16840170C2211yescharacteristic
81#16840170C2211yescharacteristic
82#16840169C2211yescharacteristic
83#16840169C2211yescharacteristic
84#16840168C2211yescharacteristic
85#16840106C2211yescharacteristic
86#16840105C2211yescharacteristic
87#16840103C2211yescharacteristic
88#16840103C2211yescharacteristic
89#16840102C2211yescharacteristic
90#16840102C2211yescharacteristic
91#16840100C2211yescharacteristic
92#16840099C2211yescharacteristic
93#16840098C2211yescharacteristic
94#16840096C2211yescharacteristic
95#16840095C2211yescharacteristic
96#16840094C2211yescharacteristic
97#16840093C2211yescharacteristic
98#16840091C2211yescharacteristic
99#16840088C2211yescharacteristic
100#16840088C2211yescharacteristic
101#16840087C2211yescharacteristic
102#16840086C2211yescharacteristic
103#16840085C2211yescharacteristic
104#16840084C2211yescharacteristic
105#16840082C2211yescharacteristic
106#16840080C2211yescharacteristic
107#16840079C2211yescharacteristic
108#16840078C2211yescharacteristic
109#16840077C2211yescharacteristic
110#16840076C2211yescharacteristic
111#16840074C2211yescharacteristic
112#16840073C2211yescharacteristic
113#16840071C2211yescharacteristic
114#16840069C2211yescharacteristic
115#16840067C2211yescharacteristic
116#16840065C2211yescharacteristic
117#16840063C2211yescharacteristic
118#16840061C2211yescharacteristic
119#16840059C2211yescharacteristic
120#16840058C2211yescharacteristic
121#16840054C2211yescharacteristic
122#16840052C2211yescharacteristic
123#16840046C2211yescharacteristic
124#16840046C2211yescharacteristic
125#16840040C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840019C2211yescharacteristic
128#16840018C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840013C2211yescharacteristic
131#16840009C2211yescharacteristic
132#16840008C2211yescharacteristic
133#16840005C2211yescharacteristic
134#16840002C2211yescharacteristic
135#16840001C2211yescharacteristic
136#16839997C2211yescharacteristic
137#16839996C2211yescharacteristic
138#16839992C2211yescharacteristic
139#16839991C2211yescharacteristic
140#16839988C2211yescharacteristic
141#16839872C2211yescharacteristic
142#16839871C2211yescharacteristic
143#16839867C2211yescharacteristic
144#16839866C2211yescharacteristic
145#16839864C2211yescharacteristic
146#16839863C2211yescharacteristic
147#16839861C2211yescharacteristic
148#16839836C2211yescharacteristic
149#16839835C2211yescharacteristic
150#16839834C2211yescharacteristic
151#16839833C2211yescharacteristic
152#16839832C2211yescharacteristic
153#16839831C2211yescharacteristic
154#16839830C2211yescharacteristic
155#16839805C2211yescharacteristic
156#16839805C2211yescharacteristic
157#16839804C2211yescharacteristic
158#16839803C2211yescharacteristic
159#16839803C2211yescharacteristic
160#16839801C2211yescharacteristic
161#16839801C2211yescharacteristic
162#16839801C2211yescharacteristic
163#16839801C2211yescharacteristic
164#16839801C2211yescharacteristic
165#16839801C2211yescharacteristic
166#16839799C2211yescharacteristic
167#16839799C2211yescharacteristic
168#16839799C2211yescharacteristic
169#16839798C2211yescharacteristic
170C2×#14519711C2211yescharacteristic
171#107×D61C2211yescharacteristic
172#107×D61C2211yescharacteristic
173#107×D61C2211yescharacteristic
174C2×#14519708C2211yescharacteristic
175#106×D61C2211yescharacteristic
176#106×D61C2211yescharacteristic
177#106×D61C2211yescharacteristic
178#16839784C2211yescharacteristic
179#16839762C2211yescharacteristic
180#16839762C2211yescharacteristic
181#16839760C2211yescharacteristic
182#16839760C2211yescharacteristic
183#16839757C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839727C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#483C2211yescharacteristic
193C61×#482C2211yescharacteristic
194C61×#482C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#476C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#427C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209C2×Q8×D61—21no—
210#14519798—24no—
211C2×#11758202C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214#14519785—24no—
215#14519783—24no—
216C2×#11758194C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C22×#92418C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519777C2311yescharacteristic
227#14519776—21no—
228#14519776D411yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519773D411yescharacteristic
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519769—21no—
243#14519769C2311yescharacteristic
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519765—21no—
254#14519765—21no—
255#14519765—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763D411yescharacteristic
259#14519763D411yescharacteristic
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519761—21no—
264#14519761—21no—
265#14519761—21no—
266#14519760—21no—
267#14519760—21no—
268#14519759—21no—
269#14519758—21no—
270#14519758—21no—
271#14519757—21no—
272#14519757—21no—
273#14519757—21no—
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519756C2311yescharacteristic
277#14519756C2311yescharacteristic
278#14519755—21no—
279#14519755—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519753—21no—
285#14519753C2311yescharacteristic
286#14519753C2311yescharacteristic
287#14519752—21no—
288#14519752—21no—
289#14519752D411yescharacteristic
290#14519752C2311yescharacteristic
291#14519752C2311yescharacteristic
292#14519751C2311yescharacteristic
293#14519751C2311yescharacteristic
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750D411yescharacteristic
304#14519750D411yescharacteristic
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519748—21no—
309#14519748—21no—
310#14519748—21no—
311#14519748D411yescharacteristic
312#14519748C2311yescharacteristic
313#14519748C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315C4×Dic122—21no—
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122C2311yescharacteristic
320#14519742—21no—
321#14519742C2311yescharacteristic
322C4×D244—21no—
323C4×D244—21no—
324C4×D244—21no—
325C4×D244—21no—
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61C2311yescharacteristic
330#14519739—21no—
331#14519739—21no—
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61C2311yescharacteristic
338C4×C22⋊D61C2311yescharacteristic
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519736—21no—
350#14519736C2311yescharacteristic
351#14519735—21no—
352#14519735—21no—
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519733—21no—
363#14519733—21no—
364C2×C4⋊Dic61C2311yescharacteristic
365C2×C4⋊Dic61C2311yescharacteristic
366C2×C4⋊Dic61C2311yescharacteristic
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C4⋊C4×D61C2311yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C2×C4×Dic61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519710C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519708C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519708C2311yescharacteristic
408C4⋊#92418C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442#126×C61—21no—
443#126×C61—21no—
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#124×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61C2×D411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61C2411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61C2×D411yescharacteristic
497C2×C22⋊D61C2×D411yescharacteristic
498C2×C22⋊D61C2×D411yescharacteristic
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501C2×C22⋊D61C2×D411yescharacteristic
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507#11758226—22no—
508#11758226—22no—
509#11758226—82no—
510Q8×D61—82no—
511#11758224—22no—
512#11758224—22no—
513#11758224—82no—
514#11758222—22no—
515#11758222—22no—
516#11758222—22no—
517#11758222—22no—
518C2×D244—21no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244C2×D411yescharacteristic
522C2×D244C2×D411yescharacteristic
523C2×D244C2×D411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×C4×D61C2411yescharacteristic
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122C2×D411yescharacteristic
545C2×Dic122C2×D411yescharacteristic
546C2×Dic122C2411yescharacteristic
547SD16×C61—22no—
548M16×C61—22no—
549C2×C8×C61—22no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61C2×D411yescharacteristic
577C22⋊C4×C61C2×D411yescharacteristic
578C42×C61—21no—
579C42×C61—21no—
580C42×C61—21no—
581C42×C61—21no—
582C42×C61C2411yescharacteristic
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591#11758202—22no—
592#11758199—22no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—22no—
665C2×#92418—22no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670#11758190—22no—
671#11758189—22no—
672#11758189—22no—
673#11758189—22no—
674#11758189—22no—
675C8×D61—22no—
676C8×D61—22no—
677C8×D61—22no—
678C8×D61#4114yescomplemented
679C23×C61—21no—
680C23×C61C22×D411yescharacteristic
681C23×C61C22×D411yescharacteristic
682C22×D61—21no—
683C22×D61C22×D411yescharacteristic
684C22×D61C22×D411yescharacteristic
685C22×D61C22×D411yescharacteristic
686Q8×C61—21no—
687Q8×C61—21no—
688Q8×C61—42no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—41no—
692D4×C61—81no—
693D4×C61—81no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—81no—
706C2×C4×C61—81no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C2511yescharacteristic
712C22⋊D61—22no—
713C22⋊D61—22no—
714C22⋊D61—22no—
715C22⋊D61—22no—
716C22⋊D61—41no—
717C22⋊D61—41no—
718C22⋊D61—42no—
719C22⋊D61—81no—
720C22⋊D61—81no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—42no—
731C2×Dic61—81no—
732C2×Dic61—81no—
733C2×Dic61—81no—
734C2×Dic61—81no—
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740D244—22no—
741D244—22no—
742D244—21no—
743D244—21no—
744D244—41no—
745D244—42no—
746D244—81no—
747D244—81no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—21no—
751C4×D61—21no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—81no—
758C4×D61—81no—
759C4×D61—81no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61C2×#4112yes—
766C4×D612−1+412yes—
767Dic122—22no—
768Dic122—22no—
769Dic122—21no—
770Dic122—21no—
771Dic122—42no—
772Dic122—81no—
773Dic122—81no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777C8×C61C2×#4112yes—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#92418C2×#4112yes—
782#61294—611nomaximal, Sylow
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61C23×D411yescharacteristic
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61#54712yes—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—41no—
810C4×C61—41no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61C22×#4111yescharacteristic
817C4×C61C2×2−1+411yescharacteristic
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61#54712yes—
830#3512—611no—
831#3511—611no—
832#3350—611no—
833#3350D6111yescharacteristic, complemented
834#3349—611no—
835#3349—611no—
836#3348—611no—
837#3348—611no—
838#3347—611no—
839#3347—611no—
840#3346—611no—
841#3346—611no—
842#3345—611no—
843#3345—611no—
844#3344—611no—
845#3344—611no—
846#3343—611no—
847#3343—611no—
848C2×#501—611no—
849#3099—611no—
850#3099—611no—
851#3098—611no—
852#3098—611no—
853#3080—611no—
854#3079—611no—
855#3061—611no—
856#3060—611no—
857#2943—611no—
858#2932—611no—
859#2913—611no—
860#2912—611no—
861C2×C61—41no—
862C2×C61—41no—
863C2×C61—81no—
864C2×C61C2×#54711yescharacteristic
865C2×C61#358511yescharacteristic
866C2×C61#358611yescharacteristic
867D61—22no—
868D61—41no—
869D61—41no—
870D61—81no—
871C2×#135—611no—
872C2×#131—611no—
873C2×#131—611no—
874#556—611no—
875#556C2×D6111yescharacteristic
876#555—611no—
877#555—611no—
878#554—611no—
879#554—611no—
880#553—611no—
881#553—611no—
882#553—611no—
883#553—1221no—
884#553—1221no—
885#553—1221no—
886#553—1221no—
887#553—1221no—
888#553—1221no—
889#553C2×D6111yescharacteristic
890#552—611no—
891#552—611no—
892#552—611no—
893#552—611no—
894#548—1221no—
895#548—1221no—
896#547—611no—
897#547—611no—
898#542—1221no—
899#542—1221no—
900#541—1221no—
901#540—1221no—
902#537—611no—
903#537—611no—
904#537—611no—
905#537—611no—
906#533—1221no—
907#532—611no—
908#532—1221no—
909C2×C4⋊Q8—611no—
910#529—1221no—
911#529—1221no—
912C2×#125—611no—
913#520—611no—
914#520—611no—
915#520—611no—
916#520—611no—
917C4×#41—611no—
918C4×#41—611no—
919#501—611no—
920#501—611no—
921#501—611no—
922#501—611no—
923#501—611no—
924#501—611no—
925#501—611no—
926#501C2×D6111yescharacteristic
927#485—611no—
928#485—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485—611no—
934#485C2×D6111yescharacteristic
935#484—611no—
936#484—611no—
937#484—611no—
938#484—611no—
939#483—611no—
940#483—611no—
941#483—611no—
942#483C2×D6111yescharacteristic
943#482—611no—
944#482—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#482C2×D6111yescharacteristic
950#482C2×D6111yescharacteristic
951#481—611no—
952#481—611no—
953#481—611no—
954#481—611no—
955#480—611no—
956#480—611no—
957#480—611no—
958#480—611no—
959#479—611no—
960#479—611no—
961#479—611no—
962#479C2×D6111yescharacteristic
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#477—611no—
968#477—611no—
969#476—611no—
970#476C2×D6111yescharacteristic
971#475—611no—
972#475—611no—
973#474—611no—
974#474—611no—
975#470—611no—
976#470—611no—
977#469—611no—
978#469—611no—
979#468—611no—
980#468—611no—
981#468—611no—
982#468C2×D6111yescharacteristic
983#467—611no—
984#467—611no—
985#466—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#465—611no—
990#465C2×D6111yescharacteristic
991#442—611no—
992#442—611no—
993#441—611no—
994#441—611no—
995#440—611no—
996#440—611no—
997#440—611no—
998#440C2×D6111yescharacteristic
999#435—611no—
1000#435—611no—
1001#435—611no—
1002#435—611no—
1003#435—611no—
1004#435—611no—
1005#435—611no—
1006#435C2×D6111yescharacteristic
1007#428—611no—
1008#428—611no—
1009#428—611no—
1010#428—611no—
1011#428—611no—
1012#428—611no—
1013#428—611no—
1014#428—611no—
1015#428—611no—
1016#428—611no—
1017#428—611no—
1018#428C2×D6111yescharacteristic
1019#427—611no—
1020#427—611no—
1021#427—611no—
1022#427—611no—
1023#427C2×D6111yescharacteristic
1024C2×#107—611no—
1025C2×#107—611no—
1026C2×#107—611no—
1027C2×#107—611no—
1028C2×#106—611no—
1029C2×#106—611no—
1030C2×#106—611no—
1031C2×#106—611no—
1032#423—611no—
1033#417—611no—
1034#417—611no—
1035#417—611no—
1036#417—611no—
1037#416—611no—
1038#416—611no—
1039#408—611no—
1040#408—611no—
1041C2×#97—611no—
1042C61#6129411yescharacteristic, complemented, Sylow
1043C2×#41—611no—
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—611no—
1047C2×#41—1221no—
1048C2×#41—1221no—
1049C22×Q8—1221no—
1050#135—1224no—
1051C2×Q16—611no—
1052C2×SD16—611no—
1053C2×SD16C22×D6111yescharacteristic
1054C2×D8—611no—
1055#131—1224no—
1056#131—1224no—
1057C2×M16—611no—
1058C2×M16—611no—
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C22×C8—611no—
1068C22×C8C22×D6111yescharacteristic
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
1072C4⋊Q8—611no—
1073C4⋊Q8—1221no—
1074C4⋊Q8—1221no—
1075C4⋊Q8C22×D6111yescharacteristic
1076#127—611no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125C22×D6111yescharacteristic
1101#124—21no—
1102#124—611no—
1103#124—611no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#123—21no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121C22⋊Q8—611no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1138C22⋊Q8C22×D6111yescharacteristic
1139#121—21no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—611no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121C22×D6111yescharacteristic
1168#121C22×D6111yescharacteristic
1169C4×Q8—21no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8C22×D6111yescharacteristic
1179C4×D4—21no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117C22×D6111yescharacteristic
1225#117C22×D6111yescharacteristic
1226#117C22×D6111yescharacteristic
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—611no—
1229C2×C4⋊C4—611no—
1230C2×C4⋊C4—611no—
1231C2×C4⋊C4—611no—
1232C2×C4⋊C4—611no—
1233C2×C4⋊C4—611no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—1221no—
1239C2×C4⋊C4—1221no—
1240C2×C4⋊C4—1221no—
1241C2×C4⋊C4C22×D6111yescharacteristic
1242C2×C42—611no—
1243C2×C42—1221no—
1244C2×C42—1221no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107—611no—
1252#107—611no—
1253#107—611no—
1254#107—611no—
1255#107—611no—
1256#107—611no—
1257#107—611no—
1258#107—611no—
1259#107C22×D6111yescharacteristic
1260#107C22×D6111yescharacteristic
1261#107C22×D6111yescharacteristic
1262#107C22×D6111yescharacteristic
1263#106—611no—
1264#106—611no—
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106C22×D6111yescharacteristic
1277#106C22×D6111yescharacteristic
1278#106C22×D6111yescharacteristic
1279#106C22×D6111yescharacteristic
1280#106C22×D6111yescharacteristic
1281C4⋊C8—611no—
1282C4⋊C8—611no—
1283C4⋊C8—611no—
1284C4⋊C8C22×D6111yescharacteristic
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102C22×D6111yescharacteristic
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8C22×D6111yescharacteristic
1316C22⋊C8C22×D6111yescharacteristic
1317#97—611no—
1318#97—611no—
1319#97—611no—
1320#97C22×D6111yescharacteristic
1321#41—1222no—
1322#41—1222no—
1323#41—1222no—
1324#41—1222no—
1325#41—1222no—
1326#41—1222no—
1327#41—1222no—
1328#41—1222no—
1329#41—4882no—
1330#41—4882no—
1331C2×Q8—21no—
1332C2×Q8—611no—
1333C2×Q8—611no—
1334C2×Q8—611no—
1335C2×Q8—1221no—
1336C2×Q8—1221no—
1337C2×Q8—1221no—
1338C2×Q8—4882no—
1339C2×Q8C23×D6111yescharacteristic
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—611no—
1346C2×D4—611no—
1347C2×D4—611no—
1348C2×D4—611no—
1349C2×D4—611no—
1350C2×D4—611no—
1351C2×D4—611no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4D4×D6111yescharacteristic
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4C23×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387Q16—1222no—
1388SD16—22no—
1389SD16—1222no—
1390D8—1222no—
1391M16—22no—
1392M16—1222no—
1393M16—1222no—
1394M16—1222no—
1395M16—1222no—
1396M16—1222no—
1397C2×C8—22no—
1398C2×C8—611no—
1399C2×C8—614no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—1222no—
1404C2×C8—1222no—
1405C2×C8—1222no—
1406C2×C8—1222no—
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C2×C8C23×D6111yescharacteristic
1410C2×C8C23×D6111yescharacteristic
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4D4×D6111yescharacteristic
1457C4⋊C4C23×D6111yescharacteristic
1458C4⋊C4C23×D6111yescharacteristic
1459C4⋊C4C23×D6111yescharacteristic
1460C4⋊C4C23×D6111yescharacteristic
1461C4⋊C4C23×D6111yescharacteristic
1462C4⋊C4C23×D6111yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—611no—
1472C22⋊C4—611no—
1473C22⋊C4—611no—
1474C22⋊C4—611no—
1475C22⋊C4—611no—
1476C22⋊C4—611no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4D4×D6111yescharacteristic
1500C22⋊C4D4×D6111yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42—1221no—
1516C42—1221no—
1517C42—1221no—
1518C42C23×D6111yescharacteristic
1519C23—21no—
1520C23—611no—
1521C23—611no—
1522C23—611no—
1523C23—1221no—
1524C23C2×D4×D6111yescharacteristic
1525C23C2×D4×D6111yescharacteristic
1526Q8—21no—
1527Q8—21no—
1528Q8—42no—
1529Q8—1222no—
1530Q8—1222no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—4881no—
1534Q8—4881no—
1535Q8—2442no—
1536D4—21no—
1537D4—21no—
1538D4—41no—
1539D4—81no—
1540D4—81no—
1541D4—1222no—
1542D4—1222no—
1543D4—1222no—
1544D4—1222no—
1545D4—1222no—
1546D4—1222no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—4881no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—4881no—
1555D4—2441no—
1556D4—2442no—
1557D4—2441no—
1558D4—2441no—
1559D4—2442no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—611no—
1574C2×C4—612no—
1575C2×C4—612no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—4881no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—4881no—
1600C2×C4—4881no—
1601C2×C4—4881no—
1602C2×C4—4881no—
1603C2×C4—2441no—
1604C2×C4—2441no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4—2442no—
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—612no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8#41×D6112yes—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—612no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—1221no—
1639C22—1221no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22C22×D4×D6111yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—612no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4C2×#41×D6111yescharacteristic
1668C42−1+4×D6111yescharacteristic
1669C2—41no—
1670C2—41no—
1671C2—81no—
1672C2—1222no—
1673C2—4881no—
1674C2—2441no—
1675C2—2441no—
1676C2#547×D6111yescharacteristic
1677C2#2146059611yescharacteristic
1678C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3350C2
socleC22×C61C23×D4
hypercenter#3350D61
hypocenterC61#61294
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. #21459737C2semidirect
2. #21459723C2semidirect
3. #21458369C2semidirect
4. #21458356C2semidirect
5. #21458343C2semidirect
6. #21458335C2semidirect
7. #21458330C2semidirect
8. #21458323C2semidirect
9. #21458312C2semidirect
10. #21458310C2semidirect
11. #21458299C2semidirect
12. #21458296C2semidirect
13. #21458283C2semidirect
14. #21458278C2semidirect
15. #21458267C2semidirect
16. #21458261C2semidirect
17. #21458258C2semidirect
18. #501×D61C2semidirect
19. #21455811C2semidirect
20. #21455803C2semidirect
21. #21455800C2semidirect
22. #21455794C2semidirect
23. #21455638C2semidirect
24. #21455631C2semidirect
25. #21455487C2semidirect
26. #21455476C2semidirect
27. #21454614C2semidirect
28. #21454533C2semidirect
29. #21454416C2semidirect
30. #21454413C2semidirect
31. C61×#3350C2semidirect
678. C8×D61#41semidirect
833. #3350D61semidirect
1042. C61#61294semidirect

Maximal subgroups

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

subgroupindex
#214597372
#214597232
#214583692
#214583562
#214583432
#214583352
#214583302
#214583232
#214583122
#214583102
#214582992
#214582962
#214582832
#214582782
#214582672
#214582612
#214582582
#501×D612
#214558112
#214558032
#214558002
#214557942
#214556382
#214556312
#214554872
#214554762
#214546142
#214545332
#214544162
#214544132
C61×#33502
#6129461