Finite Group Databasebeta

← #30576205

Subgroups — #30576205

Order 15616.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459719C211yesmaximal, characteristic, complemented
2#21459433C211yesmaximal, characteristic, complemented
3#21458763C211yesmaximal, characteristic, complemented
4#21458761C211yesmaximal, characteristic, complemented
5#21458653C211yesmaximal, characteristic, complemented
6#21458651C211yesmaximal, characteristic, complemented
7#21458328C211yesmaximal, characteristic, complemented
8#21458290C211yesmaximal, characteristic, complemented
9#21458282C211yesmaximal, characteristic, complemented
10#21458199C211yesmaximal, characteristic, complemented
11#21458191C211yesmaximal, characteristic, complemented
12#21458007C211yesmaximal, characteristic, complemented
13#21457999C211yesmaximal, characteristic, complemented
14#21457993C211yesmaximal, characteristic, complemented
15#21457985C211yesmaximal, characteristic, complemented
16#21457724C211yesmaximal, characteristic, complemented
17#21457716C211yesmaximal, characteristic, complemented
18#21457176C211yesmaximal, characteristic, complemented
19#21457144C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457050C211yesmaximal, characteristic, complemented
22#21457030C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455965C211yesmaximal, characteristic, complemented
25#21455939C211yesmaximal, characteristic, complemented
26#21455847C211yesmaximal, characteristic, complemented
27#21455623C211yesmaximal, characteristic, complemented
28#21455605C211yesmaximal, characteristic, complemented
29#475×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3348C211yesmaximal, characteristic, complemented
32#16840489C2211yescharacteristic
33#16840484C2211yescharacteristic
34#16840480—21no—
35#16840479—21no—
36#16840477C2211yescharacteristic
37#16840473C2211yescharacteristic
38#16840469C2211yescharacteristic
39#16840459C2211yescharacteristic
40#16840459C2211yescharacteristic
41#16840456C2211yescharacteristic
42#16840456C2211yescharacteristic
43#16840451C2211yescharacteristic
44#16840445—21no—
45#16840444—21no—
46#16840425C2211yescharacteristic
47#16840422C2211yescharacteristic
48#16840421C2211yescharacteristic
49#16840420—21no—
50#16840420—21no—
51#16840413C2211yescharacteristic
52#16840412—21no—
53#16840410—21no—
54#16840376—21no—
55#16840376—21no—
56#16840341—21no—
57#16840318—21no—
58#16840315C2211yescharacteristic
59#16840315C2211yescharacteristic
60#16840314C2211yescharacteristic
61#16840309C2211yescharacteristic
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840298C2211yescharacteristic
66#16840297C2211yescharacteristic
67#16840295—21no—
68#16840289—21no—
69#16840242—21no—
70#16840230—21no—
71#16840230C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×#14519742C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840163C2211yescharacteristic
79#16840162C2211yescharacteristic
80#16840129C2211yescharacteristic
81#16840129C2211yescharacteristic
82#16840124C2211yescharacteristic
83#16840122C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840104C2211yescharacteristic
87#16840103C2211yescharacteristic
88#16840100C2211yescharacteristic
89#16840100C2211yescharacteristic
90#16840099C2211yescharacteristic
91#16840099C2211yescharacteristic
92#16840087C2211yescharacteristic
93#16840086C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840082C2211yescharacteristic
96#16840082C2211yescharacteristic
97#16840080C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840074C2211yescharacteristic
100#16840072C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840072C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840068C2211yescharacteristic
105#16840068C2211yescharacteristic
106#16840065C2211yescharacteristic
107#16840065C2211yescharacteristic
108#16840064C2211yescharacteristic
109#16840061C2211yescharacteristic
110#16840059C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840055C2211yescharacteristic
114#16840051C2211yescharacteristic
115#16840051C2211yescharacteristic
116#16840050C2211yescharacteristic
117#16840048C2211yescharacteristic
118#16840047C2211yescharacteristic
119#16840046C2211yescharacteristic
120#16840046C2211yescharacteristic
121#16840046C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840045C2211yescharacteristic
124#16840045C2211yescharacteristic
125#16840044C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840041C2211yescharacteristic
128#16840015C2211yescharacteristic
129#16840013C2211yescharacteristic
130#16840010C2211yescharacteristic
131#16839999C2211yescharacteristic
132#16839997C2211yescharacteristic
133#16839993C2211yescharacteristic
134#16839992C2211yescharacteristic
135#16839991C2211yescharacteristic
136#16839990C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839980C2211yescharacteristic
139#16839979C2211yescharacteristic
140#16839978C2211yescharacteristic
141#16839977C2211yescharacteristic
142#16839966C2211yescharacteristic
143#16839965C2211yescharacteristic
144#16839961C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839960C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839905C2211yescharacteristic
150#16839903C2211yescharacteristic
151#16839902C2211yescharacteristic
152#16839900C2211yescharacteristic
153#16839899C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839873C2211yescharacteristic
157#16839871C2211yescharacteristic
158#16839864C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839861C2211yescharacteristic
161#16839860C2211yescharacteristic
162#16839859C2211yescharacteristic
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839802C2211yescharacteristic
176#16839798C2211yescharacteristic
177#106×D61C2211yescharacteristic
178#106×D61C2211yescharacteristic
179#16839785C2211yescharacteristic
180C2×#14519706C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839770C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839756C2211yescharacteristic
186#103×D61C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#485C2211yescharacteristic
193C61×#482C2211yescharacteristic
194C61×#481C2211yescharacteristic
195C61×#478C2211yescharacteristic
196C61×#475C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#427C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224D411yescharacteristic
209C22×Dic122C2311yescharacteristic
210C2×Q8×D61—21no—
211C2×Q8×D61C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758194C2311yescharacteristic
220C22×#92418C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519775C2311yescharacteristic
233#14519773C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519771—21no—
238#14519771—21no—
239#14519771—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769—21no—
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519766C2311yescharacteristic
253#14519765C2311yescharacteristic
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519762—21no—
262#14519762—21no—
263#14519761—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519758—21no—
269#14519758—21no—
270#14519757—21no—
271#14519757C2311yescharacteristic
272#14519756—21no—
273#14519756C2311yescharacteristic
274#14519755—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519754—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519753—21no—
288#14519753—21no—
289#14519752C2311yescharacteristic
290#14519752C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519751C2311yescharacteristic
293#14519751C2311yescharacteristic
294#14519750—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519749—21no—
299#14519749—21no—
300#14519749—21no—
301#14519748—21no—
302#14519748—21no—
303#14519748—21no—
304#14519748C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742D411yescharacteristic
319#14519742C2311yescharacteristic
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322#14519742C2311yescharacteristic
323#14519742C2311yescharacteristic
324C4×D244—21no—
325C4×D244—21no—
326C4×D244C2311yescharacteristic
327D4×Dic61D411yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330#14519739—21no—
331#14519739—21no—
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
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#14519737D411yescharacteristic
349#14519737D411yescharacteristic
350#14519736C2311yescharacteristic
351#14519736C2311yescharacteristic
352#14519735—21no—
353#14519735—21no—
354#14519735—21no—
355#14519735D411yescharacteristic
356#14519734—21no—
357#14519734—21no—
358#14519734—21no—
359#14519733—21no—
360#14519733D411yescharacteristic
361#14519733D411yescharacteristic
362C2×C4⋊Dic61—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519708C2311yescharacteristic
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#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#124×C61—21no—
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×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61—21no—
454#117×C61—21no—
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⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61C2×D411yescharacteristic
496C2×C22⋊D61C2×D411yescharacteristic
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61C2×D411yescharacteristic
501C22×Dic61C2×D411yescharacteristic
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504Q8×D61—22no—
505Q8×D61—41no—
506Q8×D61—82no—
507#11758224—42no—
508#11758224—82no—
509#11758224—82no—
510#11758222—22no—
511#11758222—41no—
512#11758222—44no—
513#11758222—44no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244C2411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2411yescharacteristic
531C2×Dic122—22no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—41no—
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543SD16×C61—41no—
544M16×C61—41no—
545C2×C8×C61—41no—
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61C2×D411yescharacteristic
573C22⋊C4×C61C2×D411yescharacteristic
574C42×C61—21no—
575C42×C61—21no—
576C42×C61—21no—
577C42×C61—21no—
578C42×C61C2411yescharacteristic
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61C2×D411yescharacteristic
586C22⋊Dic61C2×D411yescharacteristic
587#11758201—41no—
588#11758200—22no—
589#11758200—41no—
590#11758199—41no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198C2×D411yescharacteristic
607#11758198C2×D411yescharacteristic
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61C2×D411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—41no—
665C2×#92418—41no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670D488—41no—
671#11758190—22no—
672#11758190—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C23×C61C22×D411yescharacteristic
678C22×D61—21no—
679C22×D61—21no—
680C22×D61C22×D411yescharacteristic
681Q8×C61—21no—
682Q8×C61—21no—
683Q8×C61—81no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—41no—
687D4×C61—81no—
688D4×C61—81no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
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—42no—
701C2×C4×C61—42no—
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C2511yescharacteristic
707C22⋊D61—22no—
708C22⋊D61—22no—
709C22⋊D61—42no—
710C22⋊D61—42no—
711C22⋊D61—42no—
712C22⋊D61—42no—
713C22⋊D61—42no—
714C22⋊D61—81no—
715C22⋊D61—81no—
716C2×Dic61—21no—
717C2×Dic61—22no—
718C2×Dic61—22no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—41no—
725C2×Dic61—41no—
726C2×Dic61—42no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736D244—21no—
737D244—21no—
738D244—21no—
739D244—21no—
740D244—42no—
741D244—42no—
742C4×D61—22no—
743C4×D61—21no—
744C4×D61—21no—
745C4×D61—22no—
746C4×D61—42no—
747C4×D61—42no—
748C4×D61—42no—
749C4×D61—42no—
750C4×D61—42no—
751C4×D61—42no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756Dic122—21no—
757Dic122—21no—
758Dic122—21no—
759Dic122—41no—
760Dic122—42no—
761Dic122—42no—
762Dic122—42no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—81no—
767Dic1222−1+412yes—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772#92418—21no—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#62129—611nomaximal, Sylow
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61C23×D411yescharacteristic
787C2×D61—21no—
788C2×D61—21no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61#57512yes—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61C2×2−1+411yescharacteristic
808C4×C61#58511yescharacteristic
809Dic61—22no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61#57712yes—
822#3511—611no—
823#3482—611no—
824#3388—611no—
825#3388—611no—
826#3376—611no—
827#3376—611no—
828#3348—611no—
829#3348D6111yescharacteristic, complemented
830#3345—611no—
831#3345—611no—
832#3337—611no—
833#3337—611no—
834#3321—611no—
835#3321—611no—
836#3320—611no—
837#3320—611no—
838#3301—611no—
839#3301—611no—
840#3251—611no—
841#3247—611no—
842#3246—611no—
843#3239—611no—
844#3237—611no—
845#3233—611no—
846#3115—611no—
847#3112—611no—
848#3103—611no—
849#3078—611no—
850#3076—611no—
851C2×#475—611no—
852#2990—611no—
853C2×C61—41no—
854C2×C61—41no—
855C2×C61—81no—
856C2×C61#348911yescharacteristic
857C2×C61C2×#57511yescharacteristic
858C2×C61C2×#57711yescharacteristic
859D61—22no—
860D61—81no—
861D61—81no—
862#557—611no—
863#556—611no—
864#556—1221no—
865#556—1221no—
866#555—611no—
867#555C2×D6111yescharacteristic
868#554—611no—
869#554—611no—
870#553—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#552—611no—
875#552—1221no—
876#552—1221no—
877#552C2×D6111yescharacteristic
878D4×Q8—611no—
879#548—611no—
880#548—611no—
881#548—1221no—
882#548—1221no—
883#547—611no—
884#547—1221no—
885#547—1221no—
886#542—1221no—
887#542—1221no—
888#537—1221no—
889#533—611no—
890#533—611no—
891#533—611no—
892#533—1221no—
893#532—611no—
894#532—611no—
895#532—611no—
896C2×C4⋊Q8—611no—
897#529—611no—
898#529—611no—
899#529—1221no—
900#529—1221no—
901#520—1221no—
902C4×#41—611no—
903C4×#41—611no—
904C4×#41—1221no—
905C2×C4×Q8—611no—
906C2×C4×Q8—611no—
907#501—611no—
908#501—611no—
909#501—611no—
910#501C2×D6111yescharacteristic
911#499—611no—
912#499—611no—
913#491—611no—
914#491—611no—
915#489—611no—
916#489—611no—
917#488—611no—
918#488—611no—
919#485—611no—
920#485—611no—
921#485—611no—
922#485—611no—
923#485C2×D6111yescharacteristic
924#485C2×D6111yescharacteristic
925#484—611no—
926#484—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482C2×D6111yescharacteristic
931#481—611no—
932#481—611no—
933#481—611no—
934#481C2×D6111yescharacteristic
935#480—611no—
936#480—611no—
937#479—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#478—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478C2×D6111yescharacteristic
949#477—611no—
950#477—611no—
951#477—611no—
952#476—611no—
953#476—611no—
954#476—611no—
955#475—611no—
956#475—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#475—611no—
961#475—611no—
962#475—611no—
963#475—611no—
964#475C2×D6111yescharacteristic
965#474—611no—
966#474—611no—
967#469—611no—
968#469—611no—
969#468—611no—
970#468C2×D6111yescharacteristic
971#466—611no—
972#466—611no—
973#465—611no—
974#465—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465C2×D6111yescharacteristic
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#461—611no—
984#461—611no—
985#460—611no—
986#460—611no—
987#460—611no—
988#459—611no—
989#449—611no—
990#449—611no—
991#448—611no—
992#448—611no—
993#448—611no—
994#448—611no—
995#446—611no—
996#446—611no—
997#442—611no—
998#442—611no—
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440C2×D6111yescharacteristic
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009#435—611no—
1010#435—611no—
1011#435—611no—
1012#435C2×D6111yescharacteristic
1013C8×D4—611no—
1014C8×D4—611no—
1015#432—611no—
1016#432—611no—
1017#431—611no—
1018#428—611no—
1019#428C2×D6111yescharacteristic
1020#427—611no—
1021#427C2×D6111yescharacteristic
1022C2×#106—611no—
1023C2×#106—611no—
1024#423—611no—
1025C2×C4⋊C8—611no—
1026C2×C4⋊C8—611no—
1027#419—611no—
1028#419—611no—
1029#416—611no—
1030#416—611no—
1031C2×#103—611no—
1032C2×#103—611no—
1033C61#6212911yescharacteristic, complemented, Sylow
1034C2×#41—611no—
1035C2×#41—611no—
1036C2×#41—1221no—
1037C2×#41—1221no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C22×Q8—611no—
1041C22×Q8—611no—
1042C22×Q8—1221no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16—611no—
1048C2×SD16C22×D6111yescharacteristic
1049C2×D8—611no—
1050C2×D8—611no—
1051C2×M16—611no—
1052C2×M16C22×D6111yescharacteristic
1053C22×C8—611no—
1054C22×C8—611no—
1055C22×C8—611no—
1056C22×C8C22×D6111yescharacteristic
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8C22×D6111yescharacteristic
1068#127—611no—
1069#126—21no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#125—21no—
1080#125—611no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—1221no—
1086#125—1221no—
1087#125—1221no—
1088#125—1221no—
1089#125C22×D6111yescharacteristic
1090#124—21no—
1091#124—21no—
1092#124—611no—
1093#124—611no—
1094#124—1221no—
1095#124—1221no—
1096#124—1221no—
1097#124—1221no—
1098#124—1221no—
1099#124—1221no—
1100#124—1221no—
1101#123—21no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8C22×D6111yescharacteristic
1131C22⋊Q8C22×D6111yescharacteristic
1132#121—21no—
1133#121—611no—
1134#121—611no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121C22×D6111yescharacteristic
1150#121C22×D6111yescharacteristic
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8C22×D6111yescharacteristic
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4C22×D6111yescharacteristic
1198C4×D4C22×D6111yescharacteristic
1199#117—21no—
1200#117—21no—
1201#117—611no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—1221no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117C22×D6111yescharacteristic
1214#117C22×D6111yescharacteristic
1215#117C22×D6111yescharacteristic
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—1221no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C4⋊C4C22×D6111yescharacteristic
1225C2×C42—611no—
1226C2×C42—611no—
1227C2×C42—611no—
1228C2×C42—1221no—
1229C2×C42—1221no—
1230C2×C42—1221no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107C22×D6111yescharacteristic
1238#107C22×D6111yescharacteristic
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106C22×D6111yescharacteristic
1251#106C22×D6111yescharacteristic
1252#106C22×D6111yescharacteristic
1253#106C22×D6111yescharacteristic
1254#106C22×D6111yescharacteristic
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8C22×D6111yescharacteristic
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297C22⋊C8—611no—
1298C22⋊C8—611no—
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8C22×D6111yescharacteristic
1302C22⋊C8C22×D6111yescharacteristic
1303#97—611no—
1304#97—611no—
1305#97—611no—
1306#97C22×D6111yescharacteristic
1307C4×C8—611no—
1308C4×C8—611no—
1309#41—1222no—
1310#41—4882no—
1311#41—4882no—
1312#41—2441no—
1313#41—2444no—
1314#41—2444no—
1315#41—2442no—
1316C2×Q8—21no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1222no—
1326C2×Q8—1221no—
1327C2×Q8—1221no—
1328C2×Q8—1222no—
1329C2×Q8—4882no—
1330C2×Q8—2441no—
1331C2×Q8—2441no—
1332C2×Q8C23×D6111yescharacteristic
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4D4×D6111yescharacteristic
1349C2×D4C23×D6111yescharacteristic
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4C23×D6111yescharacteristic
1373C22×C4C23×D6111yescharacteristic
1374SD16—41no—
1375SD16—1222no—
1376SD16—1222no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380D8—2441no—
1381D8—2441no—
1382M16—41no—
1383M16—2441no—
1384C2×C8—41no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—2441no—
1390C2×C8—2441no—
1391C2×C8—2441no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊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⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4D4×D6111yescharacteristic
1482C22⋊C4D4×D6111yescharacteristic
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—611no—
1508C23—1221no—
1509C23—1221no—
1510C23C2×D4×D6111yescharacteristic
1511C23C2×D4×D6111yescharacteristic
1512Q8—21no—
1513Q8—21no—
1514Q8—81no—
1515Q8—612no—
1516Q8—1221no—
1517Q8—1221no—
1518Q8—1221no—
1519Q8—4881no—
1520Q8—2441no—
1521Q8—2442no—
1522Q8—2442no—
1523Q8—2442no—
1524Q8—2442no—
1525Q8—2442no—
1526Q8—2442no—
1527D4—21no—
1528D4—21no—
1529D4—41no—
1530D4—81no—
1531D4—81no—
1532D4—1222no—
1533D4—1222no—
1534D4—1221no—
1535D4—1221no—
1536D4—1221no—
1537D4—1221no—
1538D4—4881no—
1539D4—4881no—
1540D4—2442no—
1541D4—2442no—
1542D4—2442no—
1543D4—2442no—
1544D4—2442no—
1545D4—2442no—
1546D4—2442no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—42no—
1559C2×C4—42no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—1222no—
1568C2×C4—1222no—
1569C2×C4—1222no—
1570C2×C4—1222no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—2442no—
1586C2×C4—2442no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2441no—
1592C2×C4—2441no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C24×D6111yescharacteristic
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—1221no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—612no—
1617C22—1221no—
1618C22—1221no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—612no—
1638C4—1221no—
1639C4—1222no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C42−1+4×D6111yescharacteristic
1651C4#1684059811yescharacteristic
1652C2—41no—
1653C2—41no—
1654C2—81no—
1655C2—1222no—
1656C2—4881no—
1657C2—4881no—
1658C2#2145949311yescharacteristic
1659C2#575×D6111yescharacteristic
1660C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3348C2
socleC22×C61C23×D4
hypercenter#3348D61
hypocenterC61#62129
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #21459719C2semidirect
2. #21459433C2semidirect
3. #21458763C2semidirect
4. #21458761C2semidirect
5. #21458653C2semidirect
6. #21458651C2semidirect
7. #21458328C2semidirect
8. #21458290C2semidirect
9. #21458282C2semidirect
10. #21458199C2semidirect
11. #21458191C2semidirect
12. #21458007C2semidirect
13. #21457999C2semidirect
14. #21457993C2semidirect
15. #21457985C2semidirect
16. #21457724C2semidirect
17. #21457716C2semidirect
18. #21457176C2semidirect
19. #21457144C2semidirect
20. #21457130C2semidirect
21. #21457050C2semidirect
22. #21457030C2semidirect
23. #21457001C2semidirect
24. #21455965C2semidirect
25. #21455939C2semidirect
26. #21455847C2semidirect
27. #21455623C2semidirect
28. #21455605C2semidirect
29. #475×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3348C2semidirect
829. #3348D61semidirect
1033. C61#62129semidirect

Maximal subgroups

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

subgroupindex
#214597192
#214594332
#214587632
#214587612
#214586532
#214586512
#214583282
#214582902
#214582822
#214581992
#214581912
#214580072
#214579992
#214579932
#214579852
#214577242
#214577162
#214571762
#214571442
#214571302
#214570502
#214570302
#214570012
#214559652
#214559392
#214558472
#214556232
#214556052
#475×D612
#214549392
C61×#33482
#6212961