Finite Group Databasebeta

← #30575927

Subgroups — #30575927

Order 15616.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459719C211yesmaximal, characteristic, complemented
2#21459409C211yesmaximal, characteristic, complemented
3#21458771C211yesmaximal, characteristic, complemented
4#21458769C211yesmaximal, characteristic, complemented
5#21458571C211yesmaximal, characteristic, complemented
6#21458569C211yesmaximal, characteristic, complemented
7#21458420C211yesmaximal, characteristic, complemented
8#21458418C211yesmaximal, characteristic, complemented
9#21458370C211yesmaximal, characteristic, complemented
10#21458362C211yesmaximal, characteristic, complemented
11#21458321C211yesmaximal, characteristic, complemented
12#21458319C211yesmaximal, characteristic, complemented
13#21458076C211yesmaximal, characteristic, complemented
14#21458068C211yesmaximal, characteristic, complemented
15#21458005C211yesmaximal, characteristic, complemented
16#21457829C211yesmaximal, characteristic, complemented
17#21457821C211yesmaximal, characteristic, complemented
18#21457196C211yesmaximal, characteristic, complemented
19#21457178C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21457036C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455936C211yesmaximal, characteristic, complemented
26#21455872C211yesmaximal, characteristic, complemented
27#21455629C211yesmaximal, characteristic, complemented
28#21455621C211yesmaximal, characteristic, complemented
29#21455603C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3321C211yesmaximal, characteristic, complemented
32#16840494—21no—
33#16840494C2211yescharacteristic
34#16840488C2211yescharacteristic
35#16840483—21no—
36#16840483C2211yescharacteristic
37#16840480—21no—
38#16840477C2211yescharacteristic
39#16840473C2211yescharacteristic
40#16840469C2211yescharacteristic
41#16840464—21no—
42#16840464C2211yescharacteristic
43#16840459C2211yescharacteristic
44#16840459C2211yescharacteristic
45#16840458—21no—
46#16840458C2211yescharacteristic
47#16840456C2211yescharacteristic
48#16840456C2211yescharacteristic
49#16840431C2211yescharacteristic
50#16840423C2211yescharacteristic
51#16840420—21no—
52#16840420—21no—
53#16840412—21no—
54#16840376—21no—
55#16840376—21no—
56#16840341—21no—
57#16840315C2211yescharacteristic
58#16840315C2211yescharacteristic
59#16840309C2211yescharacteristic
60#16840307—21no—
61#16840307C2211yescharacteristic
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64C4⋊Q8×D61C2211yescharacteristic
65#16840298—21no—
66#16840298C2211yescharacteristic
67#16840291—21no—
68#16840291C2211yescharacteristic
69#16840242—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×#11758224—21no—
73C4×#11758224C2211yescharacteristic
74C2×Q8×Dic61C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840162C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840121C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840100C2211yescharacteristic
87#16840091C2211yescharacteristic
88#16840091C2211yescharacteristic
89#16840089C2211yescharacteristic
90#16840087C2211yescharacteristic
91#16840087C2211yescharacteristic
92#16840087C2211yescharacteristic
93#16840086C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840085C2211yescharacteristic
96#16840083C2211yescharacteristic
97#16840083C2211yescharacteristic
98#16840076C2211yescharacteristic
99#16840074C2211yescharacteristic
100#16840074C2211yescharacteristic
101#16840073C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840067C2211yescharacteristic
106#16840067C2211yescharacteristic
107#16840067C2211yescharacteristic
108#16840064C2211yescharacteristic
109#16840063C2211yescharacteristic
110#16840062C2211yescharacteristic
111#16840061C2211yescharacteristic
112#16840060C2211yescharacteristic
113#16840060C2211yescharacteristic
114#16840055C2211yescharacteristic
115#16840055C2211yescharacteristic
116#16840055C2211yescharacteristic
117#16840055C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840050C2211yescharacteristic
123#16840050C2211yescharacteristic
124#16840047C2211yescharacteristic
125#16840045C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840043C2211yescharacteristic
128#16840041C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840039C2211yescharacteristic
131#16840015C2211yescharacteristic
132#16840014C2211yescharacteristic
133#16840013C2211yescharacteristic
134#16840013C2211yescharacteristic
135#16840012C2211yescharacteristic
136#16840011C2211yescharacteristic
137#16840005C2211yescharacteristic
138#16839998C2211yescharacteristic
139#16839996C2211yescharacteristic
140#16839993C2211yescharacteristic
141#16839980C2211yescharacteristic
142#16839979C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839960C2211yescharacteristic
145#16839960C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839910C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839906C2211yescharacteristic
153#16839901C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839875C2211yescharacteristic
157#16839872C2211yescharacteristic
158#16839865C2211yescharacteristic
159#16839865C2211yescharacteristic
160#16839863C2211yescharacteristic
161#16839863C2211yescharacteristic
162#16839860C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164#16839847C2211yescharacteristic
165D8×Dic61C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic
176#16839804C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839801C2211yescharacteristic
179#16839800C2211yescharacteristic
180#16839798C2211yescharacteristic
181#16839785C2211yescharacteristic
182#16839784C2211yescharacteristic
183C2×#14519706C2211yescharacteristic
184#16839771C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839762C2211yescharacteristic
187#16839758C2211yescharacteristic
188C61×#555C2211yescharacteristic
189C61×#548C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#475C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#419C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224D411yescharacteristic
209C2×Q8×D61—21no—
210C2×#11758201C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×D488C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519775—21no—
227#14519773—21no—
228#14519773C2311yescharacteristic
229#14519773C2311yescharacteristic
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519771—21no—
234#14519771—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519769—21no—
241#14519769C2311yescharacteristic
242#14519768—21no—
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519766—21no—
249#14519766C2311yescharacteristic
250#14519763—21no—
251#14519763—21no—
252#14519763—21no—
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519761—21no—
259#14519761—21no—
260#14519761—21no—
261#14519759—21no—
262#14519759—21no—
263#14519759—21no—
264#14519759—21no—
265#14519759—21no—
266#14519758—21no—
267#14519758—21no—
268#14519757—21no—
269#14519756—21no—
270#14519754—21no—
271#14519754—21no—
272#14519754—21no—
273#14519754—21no—
274#14519754—21no—
275#14519754—21no—
276#14519753—21no—
277#14519753—21no—
278#14519753—21no—
279#14519753C2311yescharacteristic
280#14519752C2311yescharacteristic
281#14519751—21no—
282#14519751—21no—
283#14519751C2311yescharacteristic
284#14519751C2311yescharacteristic
285#14519751C2311yescharacteristic
286#14519751C2311yescharacteristic
287#14519750—21no—
288#14519750—21no—
289#14519750—21no—
290#14519749—21no—
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519748—21no—
296#14519748—21no—
297#14519748—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301Q8×Dic61—21no—
302Q8×Dic61—21no—
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307Q8×Dic61C2311yescharacteristic
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742D411yescharacteristic
316C4×D244—21no—
317C4×D244—21no—
318C4×D244—21no—
319C4×D244C2311yescharacteristic
320C4×D244C2311yescharacteristic
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61—21no—
324D4×Dic61D411yescharacteristic
325D4×Dic61C2311yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329#14519739—21no—
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
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#14519737D411yescharacteristic
348#14519737D411yescharacteristic
349#14519736—21no—
350#14519736C2311yescharacteristic
351#14519736C2311yescharacteristic
352#14519736C2311yescharacteristic
353#14519735—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735D411yescharacteristic
357#14519735C2311yescharacteristic
358#14519733—21no—
359#14519733D411yescharacteristic
360#14519733D411yescharacteristic
361C2×C4⋊Dic61—21no—
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C2×C4×Dic61C2311yescharacteristic
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
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×#41×C61C2311yescharacteristic
436C22×Q8×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#124×C61—21no—
444#124×C61—21no—
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449#121×C61—21no—
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—41no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—22no—
483C2×Q8×C61—41no—
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61C2×D411yescharacteristic
509C2×C22⋊D61C2×D411yescharacteristic
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519#11758226—22no—
520#11758226—41no—
521Q8×D61—82no—
522#11758224—42no—
523#11758224—44no—
524#11758224—82no—
525#11758224—82no—
526#11758222—44no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2411yescharacteristic
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122C2×D411yescharacteristic
548SD16×C61—22no—
549SD16×C61—41no—
550D8×C61—41no—
551M16×C61—41no—
552C2×C8×C61—41no—
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61C2×D411yescharacteristic
575C22⋊C4×C61C2×D411yescharacteristic
576C42×C61—21no—
577C42×C61—21no—
578C42×C61—21no—
579C42×C61C2411yescharacteristic
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
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#11758201—22no—
592#11758201—41no—
593#11758199—41no—
594#11758199—41no—
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
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
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⋊Dic61—21no—
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665C4×Dic61C2411yescharacteristic
666#11758194—41no—
667C2×#92418—41no—
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672D488—41no—
673#11758189—41no—
674#11758189—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61C22×D411yescharacteristic
678C23×C61C22×D411yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C61—42no—
686Q8×C61—81no—
687Q8×C612−1+412yes—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—41no—
693D4×C61—42no—
694D4×C61—42no—
695D4×C61—81no—
696D4×C61—81no—
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—21no—
706C2×C4×C61—21no—
707C2×C4×C61—42no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C2511yescharacteristic
715C22⋊D61—41no—
716C22⋊D61—41no—
717C22⋊D61—42no—
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C22⋊D61—81no—
726C22⋊D61—81no—
727C2×Dic61—22no—
728C2×Dic61—22no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—41no—
736C2×Dic61—41no—
737C2×Dic61—42no—
738C2×Dic61—81no—
739C2×Dic61—81no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749D244—21no—
750D244—21no—
751D244—21no—
752D244—21no—
753D244—42no—
754D244—42no—
755C4×D61—21no—
756C4×D61—21no—
757C4×D61—22no—
758C4×D61—41no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767Dic122—41no—
768Dic122—42no—
769Dic122—42no—
770Dic122—42no—
771Dic122—42no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62117—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—21no—
787C22×C61—21no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C4×C61—21no—
805C4×C61—22no—
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×C61C2×2−1+411yescharacteristic
815C4×C61#58511yescharacteristic
816Dic61—21no—
817Dic61—21no—
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—41no—
823Dic61—41no—
824Dic61—41no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61#57512yes—
829#3511—611no—
830#3480—611no—
831#3388—611no—
832#3388—611no—
833#3370—611no—
834#3370—611no—
835#3355—611no—
836#3355—611no—
837#3350—611no—
838#3350—611no—
839#3347—611no—
840#3347—611no—
841#3326—611no—
842#3326—611no—
843#3321—611no—
844#3321D6111yescharacteristic, complemented
845#3309—611no—
846#3309—611no—
847#3253—611no—
848#3251—611no—
849#3247—611no—
850#3238—611no—
851#3235—611no—
852#3233—611no—
853#3115—611no—
854#3112—611no—
855#3106—611no—
856#3079—611no—
857#3078—611no—
858#3076—611no—
859#2989—611no—
860C2×C61—41no—
861C2×C61—41no—
862C2×C61—81no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—81no—
869D61—81no—
870#559—611no—
871#559—1221no—
872#557—611no—
873#556—611no—
874#556—1221no—
875#556—1221no—
876#555—611no—
877#555C2×D6111yescharacteristic
878#554—611no—
879#554—611no—
880#553—611no—
881#553—611no—
882#553—611no—
883#553—611no—
884#553—611no—
885#553—611no—
886#553—1221no—
887#553—1221no—
888#550—611no—
889#548—611no—
890#548—1221no—
891#548—1221no—
892#548C2×D6111yescharacteristic
893#547—1221no—
894#542—1221no—
895#542—1221no—
896#537—1221no—
897#533—611no—
898#533—611no—
899#532—611no—
900#532—611no—
901#532—611no—
902#532—611no—
903#532—1221no—
904C2×C4⋊Q8—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529—1221no—
909#520—1221no—
910C4×#41—611no—
911C4×#41—611no—
912C4×#41—611no—
913C4×#41—1221no—
914C2×C4×Q8—611no—
915#501—611no—
916#501—611no—
917#501—611no—
918#501—611no—
919#499—611no—
920#499—611no—
921#490—611no—
922#490—611no—
923#489—611no—
924#489C2×D6111yescharacteristic
925#488—611no—
926#488—611no—
927#485—611no—
928#485C2×D6111yescharacteristic
929#483—611no—
930#483—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482C2×D6111yescharacteristic
941#480—611no—
942#480—611no—
943#480—611no—
944#480—611no—
945#479—611no—
946#479—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#477—611no—
958#477—611no—
959#477—611no—
960#477—611no—
961#476—611no—
962#476—611no—
963#476—611no—
964#476—611no—
965#476—611no—
966#476—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#475C2×D6111yescharacteristic
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#469—611no—
976#469—611no—
977#469—611no—
978#469—611no—
979#469—611no—
980#469C2×D6111yescharacteristic
981#468—611no—
982#468—611no—
983#466—611no—
984#466—611no—
985#465—611no—
986#465C2×D6111yescharacteristic
987#463—611no—
988#463—611no—
989#463—611no—
990#463C2×D6111yescharacteristic
991#460—611no—
992#460—611no—
993#459—611no—
994#459—611no—
995#459—611no—
996#459—611no—
997#449—611no—
998#449—611no—
999#449—611no—
1000#449C2×D6111yescharacteristic
1001#448—611no—
1002#448C2×D6111yescharacteristic
1003#446—611no—
1004#446—611no—
1005#442—611no—
1006#442—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440C2×D6111yescharacteristic
1013C4×SD16—611no—
1014C4×SD16—611no—
1015C4×D8—611no—
1016C4×D8—611no—
1017#436—611no—
1018#436—611no—
1019#435—611no—
1020#435—611no—
1021#435—611no—
1022#435C2×D6111yescharacteristic
1023#432—611no—
1024#432—611no—
1025#431—611no—
1026#428—611no—
1027#428—611no—
1028#428—611no—
1029#428—611no—
1030#427—611no—
1031#427—611no—
1032#423—611no—
1033#423—611no—
1034C2×C4⋊C8—611no—
1035#419—611no—
1036#419C2×D6111yescharacteristic
1037#417—611no—
1038#417—611no—
1039#416—611no—
1040#416C2×D6111yescharacteristic
1041C61#6211711yescharacteristic, complemented, Sylow
1042C2×#41—611no—
1043C2×#41—611no—
1044C2×#41—1221no—
1045C2×#41—1221no—
1046C2×#41—1221no—
1047C2×#41—1221no—
1048C2×#41C22×D6111yescharacteristic
1049C22×Q8—1221no—
1050C22×Q8C22×D6111yescharacteristic
1051C2×SD16—611no—
1052C2×SD16—611no—
1053C2×SD16C22×D6111yescharacteristic
1054C2×SD16C22×D6111yescharacteristic
1055C2×D8—611no—
1056C2×D8—611no—
1057C2×D8—611no—
1058C2×D8C22×D6111yescharacteristic
1059C2×M16—611no—
1060C2×M16—611no—
1061C2×M16—611no—
1062C2×M16C22×D6111yescharacteristic
1063C22×C8—611no—
1064C22×C8C22×D6111yescharacteristic
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074#127—611no—
1075#127—611no—
1076#127—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—611no—
1091#125—611no—
1092#125—611no—
1093#125—1221no—
1094#125—1221no—
1095#124—21no—
1096#124—21no—
1097#124—21no—
1098#124—611no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124C22×D6111yescharacteristic
1109#123—1221no—
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—
1119C22⋊Q8—21no—
1120C22⋊Q8—611no—
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⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8C22×D6111yescharacteristic
1133#121—21no—
1134#121—21no—
1135#121—611no—
1136#121—611no—
1137#121—611no—
1138#121—611no—
1139#121—611no—
1140#121—611no—
1141#121—611no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121C22×D6111yescharacteristic
1157#121C22×D6111yescharacteristic
1158#121C22×D6111yescharacteristic
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8—1221no—
1173C4×Q8—1221no—
1174C4×Q8C22×D6111yescharacteristic
1175C4×D4—21no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
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×D4—1221no—
1208C4×D4—1221no—
1209C4×D4C22×D6111yescharacteristic
1210C4×D4C22×D6111yescharacteristic
1211#117—21no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—611no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117C22×D6111yescharacteristic
1225#117C22×D6111yescharacteristic
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—611no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C42—611no—
1234C2×C42—611no—
1235C2×C42—611no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42—1221no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107C22×D6111yescharacteristic
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8C22×D6111yescharacteristic
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
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#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8C22×D6111yescharacteristic
1310C22⋊C8C22×D6111yescharacteristic
1311#97—611no—
1312#97—611no—
1313#97—611no—
1314#97C22×D6111yescharacteristic
1315C4×C8—611no—
1316C4×C8—611no—
1317#41—22no—
1318#41—41no—
1319#41—1222no—
1320#41—4882no—
1321#41—4882no—
1322#41—2444no—
1323#41—2442no—
1324#41—2444no—
1325#41—2441no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—22no—
1329C2×Q8—41no—
1330C2×Q8—611no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8—4882no—
1337C2×Q8C23×D6111yescharacteristic
1338C2×Q8C23×D6111yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—611no—
1346C2×D4—611no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4D4×D6111yescharacteristic
1360C2×D4C23×D6111yescharacteristic
1361C2×D4C23×D6111yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
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
1387SD16—22no—
1388SD16—41no—
1389SD16—1222no—
1390SD16—2441no—
1391D8—41no—
1392D8—2441no—
1393D8—2441no—
1394D8—2441no—
1395M16—41no—
1396M16—2441no—
1397M16—2441no—
1398M16—2441no—
1399C2×C8—41no—
1400C2×C8—611no—
1401C2×C8—611no—
1402C2×C8—611no—
1403C2×C8—611no—
1404C2×C8—2441no—
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C2×C8C23×D6111yescharacteristic
1408C2×C8C23×D6111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
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⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4D4×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
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⋊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⋊C4D4×D6111yescharacteristic
1491C22⋊C4D4×D6111yescharacteristic
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—611no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42—1221no—
1513C42C23×D6111yescharacteristic
1514C23—21no—
1515C23—21no—
1516C23—611no—
1517C23—1221no—
1518C23—1221no—
1519C23C2×D4×D6111yescharacteristic
1520C23C2×D4×D6111yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—42no—
1525Q8—81no—
1526Q8—4881no—
1527Q8—2441no—
1528Q8—2442no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8#1451982412yes—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—41no—
1538D4—42no—
1539D4—42no—
1540D4—81no—
1541D4—81no—
1542D4—1221no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—4881no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554D4—2441no—
1555D4—2441no—
1556D4—2442no—
1557D4—2442no—
1558D4—2442no—
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—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—611no—
1574C2×C4—611no—
1575C2×C4—611no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—1222no—
1581C2×C4—1222no—
1582C2×C4—1222no—
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—2441no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2441no—
1606C2×C4—2441no—
1607C2×C4C2×D4×D6111yescharacteristic
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C24×D6111yescharacteristic
1612C8—21no—
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—1221no—
1617C8—1221no—
1618C8—1221no—
1619C8—1221no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—2441no—
1636C22—2441no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22C22×D4×D6111yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—22no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—612no—
1653C4—1221no—
1654C4—1221no—
1655C4—1221no—
1656C4—1221no—
1657C4—1221no—
1658C4—1221no—
1659C4—2441no—
1660C4—2441no—
1661C4—2441no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4C2×#1451982411yescharacteristic
1666C4#1684059711yescharacteristic
1667C2—41no—
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—4881no—
1672C2—4881no—
1673C2—2441no—
1674C2#2145949011yescharacteristic
1675C2#575×D6111yescharacteristic
1676C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3321C2
socleC22×C61C23×D4
hypercenter#3321D61
hypocenterC61#62117
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #21459719C2semidirect
2. #21459409C2semidirect
3. #21458771C2semidirect
4. #21458769C2semidirect
5. #21458571C2semidirect
6. #21458569C2semidirect
7. #21458420C2semidirect
8. #21458418C2semidirect
9. #21458370C2semidirect
10. #21458362C2semidirect
11. #21458321C2semidirect
12. #21458319C2semidirect
13. #21458076C2semidirect
14. #21458068C2semidirect
15. #21458005C2semidirect
16. #21457829C2semidirect
17. #21457821C2semidirect
18. #21457196C2semidirect
19. #21457178C2semidirect
20. #21457140C2semidirect
21. #21457036C2semidirect
22. #21457014C2semidirect
23. #21457001C2semidirect
24. #21455968C2semidirect
25. #21455936C2semidirect
26. #21455872C2semidirect
27. #21455629C2semidirect
28. #21455621C2semidirect
29. #21455603C2semidirect
30. #21454931C2semidirect
31. C61×#3321C2semidirect
844. #3321D61semidirect
1041. C61#62117semidirect

Maximal subgroups

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

subgroupindex
#214597192
#214594092
#214587712
#214587692
#214585712
#214585692
#214584202
#214584182
#214583702
#214583622
#214583212
#214583192
#214580762
#214580682
#214580052
#214578292
#214578212
#214571962
#214571782
#214571402
#214570362
#214570142
#214570012
#214559682
#214559362
#214558722
#214556292
#214556212
#214556032
#214549312
C61×#33212
#6211761