Finite Group Databasebeta

← #30576879

Subgroups — #30576879

Order 15616.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460465C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458748C211yesmaximal, characteristic, complemented
4#21458733C211yesmaximal, characteristic, complemented
5#21458659C211yesmaximal, characteristic, complemented
6#21458651C211yesmaximal, characteristic, complemented
7#21458345C211yesmaximal, characteristic, complemented
8#21458335C211yesmaximal, characteristic, complemented
9#21458323C211yesmaximal, characteristic, complemented
10#21458245C211yesmaximal, characteristic, complemented
11#21458230C211yesmaximal, characteristic, complemented
12#21458011C211yesmaximal, characteristic, complemented
13#21457985C211yesmaximal, characteristic, complemented
14#21457887C211yesmaximal, characteristic, complemented
15#21457868C211yesmaximal, characteristic, complemented
16#21457715C211yesmaximal, characteristic, complemented
17#21457709C211yesmaximal, characteristic, complemented
18#21457291C211yesmaximal, characteristic, complemented
19#21457276C211yesmaximal, characteristic, complemented
20#21457149C211yesmaximal, characteristic, complemented
21#21457121C211yesmaximal, characteristic, complemented
22#21457103C211yesmaximal, characteristic, complemented
23#21457030C211yesmaximal, characteristic, complemented
24#21456046C211yesmaximal, characteristic, complemented
25#21456043C211yesmaximal, characteristic, complemented
26#21455923C211yesmaximal, characteristic, complemented
27#21455660C211yesmaximal, characteristic, complemented
28#21455659C211yesmaximal, characteristic, complemented
29#21455605C211yesmaximal, characteristic, complemented
30#21454959C211yesmaximal, characteristic, complemented
31C61×#3350C211yesmaximal, characteristic, complemented
32#16840515—21no—
33#16840507—21no—
34#16840492C2211yescharacteristic
35#16840489C2211yescharacteristic
36#16840484—21no—
37#16840484C2211yescharacteristic
38#16840482C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840479—21no—
41#16840479—21no—
42#16840479—21no—
43#16840476C2211yescharacteristic
44#16840475C2211yescharacteristic
45#16840474—21no—
46#16840469C2211yescharacteristic
47#16840459C2211yescharacteristic
48#16840452—21no—
49#16840451C2211yescharacteristic
50#16840447C2211yescharacteristic
51#16840425C2211yescharacteristic
52#16840422C2211yescharacteristic
53#16840421C2211yescharacteristic
54#16840393C2211yescharacteristic
55#16840392C2211yescharacteristic
56#16840386C2211yescharacteristic
57#16840385C2211yescharacteristic
58#16840379—21no—
59#16840379C2211yescharacteristic
60#16840378—21no—
61#16840377—21no—
62#16840377C2211yescharacteristic
63#16840376—21no—
64#16840369—21no—
65#16840356—21no—
66#16840316—21no—
67#16840315C2211yescharacteristic
68#16840314C2211yescharacteristic
69#16840295—21no—
70#16840293C2211yescharacteristic
71#16840292C2211yescharacteristic
72#16840239C2211yescharacteristic
73#16840238C2211yescharacteristic
74#16840230C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840165C2211yescharacteristic
79#16840159C2211yescharacteristic
80#16840129C2211yescharacteristic
81#16840129C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840122C2211yescharacteristic
84#16840119C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840105C2211yescharacteristic
88#16840104C2211yescharacteristic
89#16840103C2211yescharacteristic
90#16840103C2211yescharacteristic
91#16840103C2211yescharacteristic
92#16840100C2211yescharacteristic
93#16840100C2211yescharacteristic
94#16840099C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840085C2211yescharacteristic
98#16840080C2211yescharacteristic
99#16840077C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840068C2211yescharacteristic
107#16840066C2211yescharacteristic
108#16840065C2211yescharacteristic
109#16840061C2211yescharacteristic
110#16840061C2211yescharacteristic
111#16840058C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840056C2211yescharacteristic
114#16840056C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840055C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840047C2211yescharacteristic
119#16840046C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840044C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840021C2211yescharacteristic
129#16840014C2211yescharacteristic
130#16840008C2211yescharacteristic
131#16840003C2211yescharacteristic
132#16840001C2211yescharacteristic
133#16840001C2211yescharacteristic
134#16839996C2211yescharacteristic
135#16839992C2211yescharacteristic
136#16839990C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839987C2211yescharacteristic
139#16839985C2211yescharacteristic
140#16839983C2211yescharacteristic
141#16839983C2211yescharacteristic
142#16839982C2211yescharacteristic
143#16839979C2211yescharacteristic
144#16839977C2211yescharacteristic
145#16839976C2211yescharacteristic
146#16839971C2211yescharacteristic
147#16839965C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839920C2211yescharacteristic
150#16839919C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839900C2211yescharacteristic
153#16839899C2211yescharacteristic
154#16839890C2211yescharacteristic
155#16839889C2211yescharacteristic
156#16839871C2211yescharacteristic
157#16839870C2211yescharacteristic
158#16839868C2211yescharacteristic
159#16839868C2211yescharacteristic
160#16839861C2211yescharacteristic
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839856C2211yescharacteristic
164C4×#11758202C2211yescharacteristic
165#16839853C2211yescharacteristic
166C4×#11758200C2211yescharacteristic
167#16839833C2211yescharacteristic
168#16839831C2211yescharacteristic
169#16839830C2211yescharacteristic
170D4×#92418C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839824C2211yescharacteristic
173#16839820C2211yescharacteristic
174#16839816C2211yescharacteristic
175#16839801C2211yescharacteristic
176#16839799C2211yescharacteristic
177#16839798C2211yescharacteristic
178#16839798C2211yescharacteristic
179#16839790C2211yescharacteristic
180#16839787C2211yescharacteristic
181C2×#14519706C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839756C2211yescharacteristic
186C2×#14519700C2211yescharacteristic
187#103×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×#11758222C2311yescharacteristic
204C22×Dic122C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Dic244C2311yescharacteristic
207C2×Dic244C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758190C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758199C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C22×#92418C2311yescharacteristic
215C22×#92418C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519775—21no—
229#14519775—21no—
230#14519775C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772D411yescharacteristic
236#14519771—21no—
237#14519771—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770D411yescharacteristic
247#14519769—21no—
248#14519768—21no—
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767D411yescharacteristic
259#14519766—21no—
260#14519766C2311yescharacteristic
261#14519765—21no—
262#14519765C2311yescharacteristic
263#14519764—21no—
264#14519764—21no—
265#14519764—21no—
266#14519764C2311yescharacteristic
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763D411yescharacteristic
275#14519762—21no—
276#14519761D411yescharacteristic
277#14519760—21no—
278#14519760—21no—
279#14519759—21no—
280#14519759—21no—
281#14519758—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758D411yescharacteristic
285#14519757—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519756—21no—
290#14519756—21no—
291#14519756—21no—
292#14519756—21no—
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519756C2311yescharacteristic
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754D411yescharacteristic
309#14519753—21no—
310#14519752C2311yescharacteristic
311#14519751C2311yescharacteristic
312#14519750—21no—
313#14519750—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749D411yescharacteristic
317#14519748—21no—
318#14519748C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329#14519742—21no—
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341D4×Dic61—21no—
342D4×Dic61C2311yescharacteristic
343D4×Dic61C2311yescharacteristic
344#14519739—21no—
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348C4×C22⋊D61C2311yescharacteristic
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519736—21no—
355#14519736C2311yescharacteristic
356#14519736C2311yescharacteristic
357#14519736C2311yescharacteristic
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519734—21no—
366#14519734C2311yescharacteristic
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370#14519733—21no—
371#14519733—21no—
372C2×C4⋊Dic61—21no—
373C4⋊C4×D61C2311yescharacteristic
374C2×C4×Dic61C2311yescharacteristic
375C42×D61—21no—
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#126×C61—21no—
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#124×C61—21no—
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457#117×C61C2311yescharacteristic
458C2×C4⋊C4×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
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2411yescharacteristic
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61C2×D411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61C2411yescharacteristic
487C22×C4×C61C2411yescharacteristic
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61C2×D411yescharacteristic
492C2×C22⋊D61C2×D411yescharacteristic
493C22×Dic61—21no—
494C22×Dic61—21no—
495C22×Dic61—21no—
496C22×Dic61C2×D411yescharacteristic
497C22×Dic61C2×D411yescharacteristic
498Q8×D61—22no—
499Q8×D61—41no—
500#11758222—22no—
501#11758222—41no—
502C2×D244—21no—
503C2×D244C2411yescharacteristic
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61C2411yescharacteristic
510C2×Dic122—22no—
511C2×Dic122—21no—
512C2×Dic122—21no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—41no—
520C2×Dic122C2×D411yescharacteristic
521C2×Dic122C2411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524SD16×C61—41no—
525M16×C61—41no—
526C2×C8×C61—41no—
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×C61C2411yescharacteristic
540C4⋊C4×C61C2411yescharacteristic
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—
553C22⋊C4×C61C2×D411yescharacteristic
554C22⋊C4×C61C2×D411yescharacteristic
555C42×C61—21no—
556C42×C61—21no—
557C42×C61—21no—
558C42×C61—21no—
559C42×C61C2411yescharacteristic
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61C2×D411yescharacteristic
571C22⋊Dic61C2×D411yescharacteristic
572C22⋊Dic61C2×D411yescharacteristic
573C22⋊Dic61C2×D411yescharacteristic
574#11758202—41no—
575#11758200—22no—
576#11758200—41no—
577#11758199—41no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198C2×D411yescharacteristic
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61C2×D411yescharacteristic
603C4⋊Dic61C2×D411yescharacteristic
604C4⋊Dic61C2×D411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
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×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61C2×D411yescharacteristic
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C2×#92418—41no—
659C2×#92418—41no—
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664Dic244—22no—
665Dic244—41no—
666#11758190—41no—
667#11758189—41no—
668C8×D61—41no—
669C23×C61—21no—
670C23×C61C22×D411yescharacteristic
671C23×C61C22×D411yescharacteristic
672C22×D61—21no—
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—81no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—41no—
680D4×C61—81no—
681D4×C61—81no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—81no—
694C2×C4×C61—81no—
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C2511yescharacteristic
700C22⋊D61—41no—
701C22⋊D61—41no—
702C22⋊D61—42no—
703C22⋊D61—81no—
704C22⋊D61—81no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—41no—
713C2×Dic61—41no—
714C2×Dic61—42no—
715C2×Dic61—81no—
716C2×Dic61—81no—
717C2×Dic61C22×D411yescharacteristic
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724D244—21no—
725D244—21no—
726D244—81no—
727C4×D61—21no—
728C4×D61—21no—
729C4×D61—42no—
730C4×D61—42no—
731C4×D61—42no—
732C4×D61—81no—
733C4×D61—81no—
734Dic122—21no—
735Dic122—21no—
736Dic122—21no—
737Dic122—21no—
738Dic122—21no—
739Dic122—41no—
740Dic122—42no—
741Dic122—42no—
742Dic122—81no—
743Dic122—81no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic1222−1+412yes—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753#92418—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#62161—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
761C22×C61—21no—
762C22×C61—21no—
763C22×C61—21no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61C23×D411yescharacteristic
768C2×D61—21no—
769C2×D61—21no—
770C2×D61—21no—
771C2×D61—41no—
772C2×D61—41no—
773C2×D61—41no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61C2×2−1+411yescharacteristic
786C4×C61#58511yescharacteristic
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—21no—
793Dic61—22no—
794Dic61—21no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3565—611no—
802#3518—611no—
803#3387—611no—
804#3385—611no—
805#3377—611no—
806#3376—611no—
807#3350D6111yescharacteristic, complemented
808#3349—611no—
809#3348—611no—
810#3347—611no—
811#3342—611no—
812#3340—611no—
813#3321—611no—
814#3320—611no—
815#3313—611no—
816#3312—611no—
817#3301—611no—
818#3300—611no—
819#3263—611no—
820#3262—611no—
821#3248—611no—
822#3244—611no—
823#3243—611no—
824#3237—611no—
825#3121—611no—
826#3121—611no—
827#3111—611no—
828#3082—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61—41no—
833C2×C61—41no—
834C2×C61—81no—
835C2×C61#348911yescharacteristic
836C2×C61#358411yescharacteristic
837C2×C61#358611yescharacteristic
838D61—41no—
839D61—81no—
840#563—1221no—
841#562—1221no—
842Q82—611no—
843#557—611no—
844#556—611no—
845#556—611no—
846#556—611no—
847#556—1221no—
848#556—1221no—
849#556—1221no—
850#556—1221no—
851#556C2×D6111yescharacteristic
852#555—611no—
853#555—611no—
854#555—1221no—
855#554—611no—
856#553—611no—
857#553C2×D6111yescharacteristic
858#552—611no—
859#552—611no—
860#552—1221no—
861D4×Q8—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544—611no—
866#542—611no—
867#542—611no—
868#542—611no—
869#542—611no—
870#542—1221no—
871#542—1221no—
872#542—1221no—
873#542—1221no—
874#541—1221no—
875#539—1221no—
876#533—611no—
877#533—611no—
878#533—1221no—
879#529—611no—
880#529—611no—
881#529—1221no—
882#519—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#501C2×D6111yescharacteristic
889#500—611no—
890#498—611no—
891#491—611no—
892#491—611no—
893#489—611no—
894#489—611no—
895#488—611no—
896#488—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485—611no—
904#485—611no—
905#485C2×D6111yescharacteristic
906#484—611no—
907#483C2×D6111yescharacteristic
908#482—611no—
909#482—611no—
910#482—611no—
911#482C2×D6111yescharacteristic
912#482C2×D6111yescharacteristic
913#481—611no—
914#480—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479C2×D6111yescharacteristic
924#478—611no—
925#478—611no—
926#478—611no—
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476C2×D6111yescharacteristic
935#475—611no—
936#475—611no—
937#475—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#474—611no—
943#474—611no—
944#474—611no—
945#470—611no—
946#469—611no—
947#468—611no—
948#468C2×D6111yescharacteristic
949#467—611no—
950#467—611no—
951#467—611no—
952#466—611no—
953#465—611no—
954#465—611no—
955#465—611no—
956#465C2×D6111yescharacteristic
957#464—611no—
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#463—611no—
963#463—611no—
964#463—611no—
965#462—611no—
966#461—611no—
967#452—611no—
968#451—611no—
969#451—611no—
970#449—611no—
971#448—611no—
972#448—611no—
973#446—611no—
974#446—611no—
975#442—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440C2×D6111yescharacteristic
983C4×Q16—611no—
984C4×Q16—611no—
985C4×SD16—611no—
986C4×SD16—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435C2×D6111yescharacteristic
991C8×D4—611no—
992C8×D4—611no—
993#433—611no—
994#433—611no—
995#432—611no—
996#428—611no—
997#428C2×D6111yescharacteristic
998#427—611no—
999#427—611no—
1000#427—611no—
1001#427C2×D6111yescharacteristic
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#419—611no—
1007#416—611no—
1008#416—611no—
1009C2×#103—611no—
1010C2×#103—611no—
1011C61#6216111yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C22×Q8—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16—611no—
1018C2×SD16—611no—
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16C22×D6111yescharacteristic
1022C2×D8—611no—
1023C2×M16—611no—
1024C2×M16C22×D6111yescharacteristic
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8—611no—
1028C22×C8C22×D6111yescharacteristic
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8C22×D6111yescharacteristic
1044#126—21no—
1045#126—21no—
1046#126—21no—
1047#126—611no—
1048#126—611no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
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#124—21no—
1077#124—611no—
1078#124—611no—
1079#124—611no—
1080#124—611no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#123—21no—
1094#123—611no—
1095#123—611no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8C22×D6111yescharacteristic
1130C22⋊Q8C22×D6111yescharacteristic
1131#121—21no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121C22×D6111yescharacteristic
1142#121C22×D6111yescharacteristic
1143C4×Q8—21no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8C22×D6111yescharacteristic
1167C4×D4—21no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4C22×D6111yescharacteristic
1182C4×D4C22×D6111yescharacteristic
1183#117—611no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—1221no—
1190#117—1221no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117C22×D6111yescharacteristic
1202#117C22×D6111yescharacteristic
1203#117C22×D6111yescharacteristic
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—1221no—
1206C2×C4⋊C4C22×D6111yescharacteristic
1207C2×C42—611no—
1208C2×C42—1221no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106C22×D6111yescharacteristic
1229#106C22×D6111yescharacteristic
1230#106C22×D6111yescharacteristic
1231#106C22×D6111yescharacteristic
1232#106C22×D6111yescharacteristic
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8—611no—
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102—611no—
1272#102C22×D6111yescharacteristic
1273#102C22×D6111yescharacteristic
1274#102C22×D6111yescharacteristic
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8—611no—
1279C22⋊C8C22×D6111yescharacteristic
1280C22⋊C8C22×D6111yescharacteristic
1281#97—611no—
1282#97—611no—
1283#97—611no—
1284#97C22×D6111yescharacteristic
1285C4×C8—611no—
1286C4×C8—611no—
1287#41—1222no—
1288#41—2441no—
1289C2×Q8—21no—
1290C2×Q8—611no—
1291C2×Q8—611no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1222no—
1301C2×Q8—1221no—
1302C2×Q8—1221no—
1303C2×Q8—1222no—
1304C2×Q8—2441no—
1305C2×Q8—2441no—
1306C2×Q8C23×D6111yescharacteristic
1307C2×D4—21no—
1308C2×D4—21no—
1309C2×D4—611no—
1310C2×D4—611no—
1311C2×D4—611no—
1312C2×D4—1221no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4—1221no—
1316C2×D4D4×D6111yescharacteristic
1317C2×D4C23×D6111yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333Q16—1222no—
1334Q16—2441no—
1335Q16—2441no—
1336SD16—41no—
1337SD16—1222no—
1338SD16—2441no—
1339SD16—2441no—
1340D8—2441no—
1341M16—41no—
1342M16—2441no—
1343C2×C8—41no—
1344C2×C8—611no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—611no—
1348C2×C8—2441no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8C23×D6111yescharacteristic
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—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—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
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⋊C4D4×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C4⋊C4C23×D6111yescharacteristic
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—611no—
1423C22⋊C4—611no—
1424C22⋊C4—611no—
1425C22⋊C4—611no—
1426C22⋊C4—611no—
1427C22⋊C4—611no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
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—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4D4×D6111yescharacteristic
1453C22⋊C4D4×D6111yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—611no—
1459C42—611no—
1460C42—611no—
1461C42—611no—
1462C42—611no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42C23×D6111yescharacteristic
1478C23—21no—
1479C23—611no—
1480C23—1221no—
1481C23C2×D4×D6111yescharacteristic
1482C23C2×D4×D6111yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—81no—
1486Q8—612no—
1487Q8—1221no—
1488Q8—1221no—
1489Q8—1221no—
1490Q8—1221no—
1491Q8—1221no—
1492Q8—4881no—
1493Q8—4881no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—4881no—
1498Q8—2441no—
1499Q8—2442no—
1500Q8—2442no—
1501D4—21no—
1502D4—21no—
1503D4—41no—
1504D4—81no—
1505D4—81no—
1506D4—1221no—
1507D4—1221no—
1508D4—4881no—
1509D4—4881no—
1510D4—4881no—
1511D4—2441no—
1512D4—2441no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—611no—
1532C2×C4—611no—
1533C2×C4—611no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—4881no—
1547C2×C4—2442no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2441no—
1551C2×C4—2441no—
1552C2×C4—2442no—
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C24×D6111yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—21no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—1221no—
1576C22—1221no—
1577C22—1221no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
1581C22C22×D4×D6111yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—1221no—
1594C4—1222no—
1595C4—1221no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—1221no—
1600C4—1221no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059811yescharacteristic
1609C2—41no—
1610C2—41no—
1611C2—81no—
1612C2—4881no—
1613C2—2441no—
1614C2#2145949311yescharacteristic
1615C2#2146059211yescharacteristic
1616C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3350C2
socleC22×C61C23×D4
hypercenter#3350D61
hypocenterC61#62161
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. #21460465C2semidirect
2. #21459829C2semidirect
3. #21458748C2semidirect
4. #21458733C2semidirect
5. #21458659C2semidirect
6. #21458651C2semidirect
7. #21458345C2semidirect
8. #21458335C2semidirect
9. #21458323C2semidirect
10. #21458245C2semidirect
11. #21458230C2semidirect
12. #21458011C2semidirect
13. #21457985C2semidirect
14. #21457887C2semidirect
15. #21457868C2semidirect
16. #21457715C2semidirect
17. #21457709C2semidirect
18. #21457291C2semidirect
19. #21457276C2semidirect
20. #21457149C2semidirect
21. #21457121C2semidirect
22. #21457103C2semidirect
23. #21457030C2semidirect
24. #21456046C2semidirect
25. #21456043C2semidirect
26. #21455923C2semidirect
27. #21455660C2semidirect
28. #21455659C2semidirect
29. #21455605C2semidirect
30. #21454959C2semidirect
31. C61×#3350C2semidirect
807. #3350D61semidirect
1011. C61#62161semidirect

Maximal subgroups

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

subgroupindex
#214604652
#214598292
#214587482
#214587332
#214586592
#214586512
#214583452
#214583352
#214583232
#214582452
#214582302
#214580112
#214579852
#214578872
#214578682
#214577152
#214577092
#214572912
#214572762
#214571492
#214571212
#214571032
#214570302
#214560462
#214560432
#214559232
#214556602
#214556592
#214556052
#214549592
C61×#33502
#6216161