Finite Group Databasebeta

← #30576144

Subgroups — #30576144

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459699C211yesmaximal, characteristic, complemented
2#21459424C211yesmaximal, characteristic
3#21458765C211yesmaximal, characteristic, complemented
4#21458757C211yesmaximal, characteristic, complemented
5#21458586C211yesmaximal, characteristic, complemented
6#21458584C211yesmaximal, characteristic, complemented
7#21458366C211yesmaximal, characteristic, complemented
8#21458364C211yesmaximal, characteristic, complemented
9#21458269C211yesmaximal, characteristic, complemented
10#21458267C211yesmaximal, characteristic, complemented
11#21458193C211yesmaximal, characteristic, complemented
12#21458191C211yesmaximal, characteristic, complemented
13#21457855C211yesmaximal, characteristic, complemented
14#21457841C211yesmaximal, characteristic, complemented
15#21457833C211yesmaximal, characteristic, complemented
16#21457655C211yesmaximal, characteristic, complemented
17#21457647C211yesmaximal, characteristic, complemented
18#21457187C211yesmaximal, characteristic, complemented
19#21457153C211yesmaximal, characteristic, complemented
20#21457130C211yesmaximal, characteristic, complemented
21#21457036C211yesmaximal, characteristic, complemented
22#21457014C211yesmaximal, characteristic, complemented
23#21457001C211yesmaximal, characteristic, complemented
24#21455974C211yesmaximal, characteristic, complemented
25#21455916C211yesmaximal, characteristic, complemented
26#21455822C211yesmaximal, characteristic, complemented
27#21455613C211yesmaximal, characteristic, complemented
28#21455603C211yesmaximal, characteristic, complemented
29#476×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3311C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33#16840491C2211yescharacteristic, complemented
34#16840490—21no—
35#16840487C2211yescharacteristic, complemented
36#16840482C2211yescharacteristic, complemented
37#16840481—21no—
38#16840471C2211yescharacteristic
39#16840470C2211yescharacteristic
40#16840459C2211yescharacteristic
41#16840458C2211yescharacteristic
42#16840455—21no—
43#16840451C2211yescharacteristic
44#16840451C2211yescharacteristic, complemented
45#16840448—21no—
46#16840448—21no—
47#16840446C2211yescharacteristic
48#16840446C2211yescharacteristic, complemented
49#16840438—21no—
50#16840435—21no—
51#16840400C2211yescharacteristic
52#16840399—21no—
53D4×C22⋊D61C2211yescharacteristic
54#16840369—21no—
55#16840369—21no—
56#16840332—21no—
57#16840316C2211yescharacteristic, complemented
58#16840315C2211yescharacteristic, complemented
59#16840315C2211yescharacteristic, complemented
60#16840314C2211yescharacteristic, complemented
61#16840314C2211yescharacteristic, complemented
62#16840307C2211yescharacteristic
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840291C2211yescharacteristic
66#16840289—21no—
67#16840272—21no—
68#16840268—21no—
69#16840238—21no—
70#41×Dic61C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61C2211yescharacteristic
73C2×#14519737—21no—
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840168C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840125C2211yescharacteristic
82#16840125C2211yescharacteristic
83#16840121C2211yescharacteristic, complemented
84#16840118C2211yescharacteristic, complemented
85#16840118C2211yescharacteristic, complemented
86#16840104C2211yescharacteristic, complemented
87#16840100C2211yescharacteristic, complemented
88#16840100C2211yescharacteristic, complemented
89#16840099C2211yescharacteristic, complemented
90#16840096C2211yescharacteristic, complemented
91#16840093C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840091C2211yescharacteristic, complemented
94#16840090C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic
96#16840087C2211yescharacteristic, complemented
97#16840086C2211yescharacteristic
98#16840086C2211yescharacteristic, complemented
99#16840083C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840072C2211yescharacteristic, complemented
103#16840071C2211yescharacteristic, complemented
104#16840071C2211yescharacteristic, complemented
105#16840070C2211yescharacteristic, complemented
106#16840069C2211yescharacteristic, complemented
107#16840067C2211yescharacteristic, complemented
108#16840064C2211yescharacteristic
109#16840064C2211yescharacteristic
110#16840064C2211yescharacteristic, complemented
111#16840060C2211yescharacteristic
112#16840060C2211yescharacteristic
113#16840060C2211yescharacteristic, complemented
114#16840055C2211yescharacteristic, complemented
115#16840055C2211yescharacteristic, complemented
116#16840053C2211yescharacteristic, complemented
117#16840052C2211yescharacteristic
118#16840051C2211yescharacteristic, complemented
119#16840051C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic
121#16840050C2211yescharacteristic
122#16840050C2211yescharacteristic, complemented
123#16840050C2211yescharacteristic, complemented
124#16840049C2211yescharacteristic, complemented
125#16840046C2211yescharacteristic, complemented
126#16840045C2211yescharacteristic, complemented
127#16840045C2211yescharacteristic, complemented
128#16840041C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic, complemented
131#16840018C2211yescharacteristic, complemented
132#16840010C2211yescharacteristic
133#16840008C2211yescharacteristic
134#16840002C2211yescharacteristic, complemented
135#16840000C2211yescharacteristic, complemented
136#16839993C2211yescharacteristic, complemented
137#16839991C2211yescharacteristic, complemented
138#16839990C2211yescharacteristic
139#16839989C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic
141#16839987C2211yescharacteristic, complemented
142#16839986C2211yescharacteristic, complemented
143#16839981C2211yescharacteristic, complemented
144#16839970C2211yescharacteristic, complemented
145#16839966C2211yescharacteristic, complemented
146#16839965C2211yescharacteristic
147#16839965C2211yescharacteristic, complemented
148#16839961C2211yescharacteristic
149#16839960C2211yescharacteristic
150#16839924C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839869C2211yescharacteristic, complemented
157#16839866C2211yescharacteristic, complemented
158#16839864C2211yescharacteristic, complemented
159#16839863C2211yescharacteristic
160#16839862C2211yescharacteristic
161#16839860C2211yescharacteristic, complemented
162#16839859C2211yescharacteristic
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic, complemented
165SD16×Dic61C2211yescharacteristic
166SD16×Dic61C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic
168#16839834C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839800C2211yescharacteristic, complemented
178#16839798C2211yescharacteristic, complemented
179#106×D61C2211yescharacteristic, complemented
180#106×D61C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839758C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#556C2211yescharacteristic, complemented
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic
194C61×#470C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224D411yescharacteristic
205C2×Q8×D61—21no—
206C22×C22⋊D61—21no—
207C2×D4×D61C2311yescharacteristic
208C23×Dic61—21no—
209C22×C4×D61—21no—
210C2×#11758202C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758201C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C22×#92418C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219#14519777—21no—
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519775—21no—
227#14519775—21no—
228#14519775C2311yescharacteristic
229#14519773C2311yescharacteristic
230#14519772—21no—
231#14519772—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519769—21no—
241#14519769—21no—
242#14519769C2311yescharacteristic
243#14519768—21no—
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519766C2311yescharacteristic
259#14519764—21no—
260#14519763—21no—
261#14519763—21no—
262#14519761—21no—
263#14519761—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519758—21no—
273#14519757—21no—
274#14519757C2311yescharacteristic
275#14519756—21no—
276#14519756C2311yescharacteristic
277#14519756C2311yescharacteristic
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#14519754—21no—
288#14519753C2311yescharacteristic
289#14519753C2311yescharacteristic
290#14519751C2311yescharacteristic
291#14519751C2311yescharacteristic
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519749—21no—
296#14519748—21no—
297#14519748C2311yescharacteristic
298#14519746—21no—
299#14519745—21no—
300#14519745—21no—
301Q8×Dic61—21no—
302Q8×Dic61C2311yescharacteristic
303Q8×Dic61C2311yescharacteristic
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314#14519742—21no—
315#14519742—21no—
316#14519742—21no—
317#14519742D411yescharacteristic
318#14519742C2311yescharacteristic
319#14519742C2311yescharacteristic
320C4×D244C2311yescharacteristic
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61—21no—
324D4×Dic61—21no—
325D4×Dic61D411yescharacteristic
326D4×Dic61C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739C2311yescharacteristic
332C4×C22⋊D61—21no—
333C4×C22⋊D61C2311yescharacteristic
334C4×C22⋊D61C2311yescharacteristic
335#14519737—21no—
336#14519737—21no—
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519737D411yescharacteristic
344#14519737D411yescharacteristic
345#14519736—21no—
346#14519736C2311yescharacteristic
347#14519736C2311yescharacteristic
348#14519736C2311yescharacteristic
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519735D411yescharacteristic
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733D411yescharacteristic
360#14519733D411yescharacteristic
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C2×C22⋊Dic61—21no—
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519708C2311yescharacteristic
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#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
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×D4×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441C22×C8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#126×C61—21no—
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61—21no—
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454C4×Q8×C61—21no—
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C22⋊C4×C61—21no—
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#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C24×C61—21no—
479C23×D61—21no—
480#41×C61—22no—
481#41×C61—41no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—22no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—41no—
490C2×D4×C61C2×D411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—44no—
504C2×C22⋊D61C2×D411yescharacteristic
505C2×C22⋊D61C2×D411yescharacteristic
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—82no—
513C22×Dic61C2×D411yescharacteristic
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517Q8×D61—44no—
518#11758224—42no—
519#11758224—82no—
520D4×D61—22no—
521D4×D61—41no—
522C2×D244C2411yescharacteristic
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—82no—
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2411yescharacteristic
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2411yescharacteristic
539Q16×C61—41no—
540SD16×C61—22no—
541SD16×C61—41no—
542M16×C61—41no—
543C2×C8×C61—41no—
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61C2×D411yescharacteristic
568C22⋊C4×C61C2×D411yescharacteristic
569C42×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61C2411yescharacteristic
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586#11758202—41no—
587#11758201—41no—
588#11758200—22no—
589#11758200—41no—
590#11758198—21no—
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#11758198C2×D411yescharacteristic
600#11758198C2×D411yescharacteristic
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
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#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#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
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×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
672#11758190—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—42no—
678C23×C61—42no—
679C23×C61—81no—
680C23×C61C22×D411yescharacteristic
681C23×C61C22×D411yescharacteristic
682C22×D61—21no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—42no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—41no—
696D4×C61—42no—
697D4×C61—42no—
698D4×C61—81no—
699D4×C612−1+412yes—
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—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—42no—
711C2×C4×C61—81no—
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—22no—
718C22⋊D61—22no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—81no—
724C22⋊D61—81no—
725C2×Dic61—22no—
726C2×Dic61—22no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—41no—
735C2×Dic61—41no—
736C2×Dic61—42no—
737C2×Dic61—42no—
738C2×Dic61—42no—
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—
751C4×D61—22no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—22no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—81no—
759C4×D61—81no—
760Dic122—21no—
761Dic122—21no—
762Dic122—41no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—81no—
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#62126—611nomaximal, Sylow
777C22×C61—22no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—84no—
790C22×C61C23×D411yescharacteristic
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—84no—
797C2×D61#57512yes—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61C2×2−1+411yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61#57712yes—
824#3509—611no—
825#3481—611no—
826#3388—611no—
827#3388—611no—
828#3371—611no—
829#3371—611no—
830#3350—611no—
831#3350—611no—
832#3344—611no—
833#3344—611no—
834#3337—611no—
835#3337—611no—
836#3311—611no—
837#3311D6111yescharacteristic, complemented
838#3310—611no—
839#3310—611no—
840#3296—611no—
841#3296—611no—
842#3252—611no—
843#3248—611no—
844#3246—611no—
845#3238—611no—
846#3235—611no—
847#3233—611no—
848#3116—611no—
849#3110—611no—
850#3101—611no—
851#3077—611no—
852#3076—611no—
853C2×#476—611no—
854#2990—611no—
855C2×C61—42no—
856C2×C61—41no—
857C2×C61—41no—
858C2×C61—81no—
859C2×C61#348911yescharacteristic
860C2×C61C2×#57511yescharacteristic
861C2×C61C2×#57711yescharacteristic
862D61—22no—
863D61—81no—
864#559—611no—
865#557—611no—
866#557—611no—
867#557—1221no—
868#556—611no—
869#556—1221no—
870#556C2×D6111yescharacteristic, complemented
871#554—611no—
872#554—611no—
873#553—611no—
874#553—611no—
875#553—1221no—
876#552—611no—
877#552—611no—
878#552—611no—
879#552—611no—
880#552—1221no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#546—611no—
885#546—1221no—
886#546C2×D6111yescharacteristic
887D42—611no—
888#541—1221no—
889#541—1221no—
890#536—1221no—
891#533—611no—
892#533—611no—
893#533—611no—
894#533—611no—
895#533—611no—
896#532—611no—
897C2×C4⋊Q8—611no—
898#529—611no—
899#529—611no—
900#529—1221no—
901#525—1221no—
902#525—1221no—
903#519—1221no—
904C4×#41—611no—
905C4×#41—611no—
906C2×C4×D4—611no—
907C2×C4×D4—611no—
908C2×C4×D4—1221no—
909#501—611no—
910#501—611no—
911#501—611no—
912#501—611no—
913#499—611no—
914#499—611no—
915#490—611no—
916#490—611no—
917#489—611no—
918#489C2×D6111yescharacteristic, complemented
919#488—611no—
920#488—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485C2×D6111yescharacteristic, complemented
925#484—611no—
926#484—611no—
927#483—611no—
928#483—611no—
929#483—611no—
930#483—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482—611no—
935#482—611no—
936#482C2×D6111yescharacteristic, complemented
937#480—611no—
938#480—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#477—611no—
952#477—611no—
953#476—611no—
954#476—611no—
955#476—611no—
956#476—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476C2×D6111yescharacteristic
963#475—611no—
964#475—611no—
965#475—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#470—611no—
970#470C2×D6111yescharacteristic, complemented
971#468—611no—
972#468—611no—
973#467—611no—
974#467—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465C2×D6111yescharacteristic, complemented
981#464—611no—
982#464—611no—
983#464—611no—
984#464C2×D6111yescharacteristic, complemented
985#462—611no—
986#461—611no—
987#461—611no—
988#461—611no—
989#460—611no—
990#460—611no—
991#452—611no—
992#452C2×D6111yescharacteristic
993#450—611no—
994#450—611no—
995#450—611no—
996#450C2×D6111yescharacteristic
997#446—611no—
998#446—611no—
999#441—611no—
1000#441—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440C2×D6111yescharacteristic
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16—611no—
1011#435—611no—
1012#435—611no—
1013#435—611no—
1014#435C2×D6111yescharacteristic, complemented
1015C8×D4—611no—
1016C8×D4—611no—
1017#432—611no—
1018#432—611no—
1019#431—611no—
1020#428—611no—
1021#428—611no—
1022#427—611no—
1023#427—611no—
1024C2×#106—611no—
1025C2×#106—611no—
1026#423—611no—
1027C2×C4⋊C8—611no—
1028C2×C4⋊C8—611no—
1029#418—611no—
1030#418C2×D6111yescharacteristic
1031#416—611no—
1032#416C2×D6111yescharacteristic
1033C2×#102—611no—
1034C2×#102—611no—
1035C61#6212611yescharacteristic, complemented, Sylow
1036C2×#41—611no—
1037C2×#41—1221no—
1038C2×#41C22×D6111yescharacteristic
1039C22×Q8—1221no—
1040C22×D4—611no—
1041C22×D4—1221no—
1042C22×D4C22×D6111yescharacteristic
1043C23×C4—1221no—
1044C23×C4—1221no—
1045C2×Q16—611no—
1046C2×Q16C22×D6111yescharacteristic
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16C22×D6111yescharacteristic
1052C2×SD16C22×D6111yescharacteristic
1053C2×M16—611no—
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8—611no—
1057C22×C8—611no—
1058C22×C8C22×D6111yescharacteristic
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8C22×D6111yescharacteristic
1070#127—611no—
1071#126—21no—
1072#126—21no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125—1221no—
1099#125—1221no—
1100#125—1221no—
1101#124—21no—
1102#124—611no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124C22×D6111yescharacteristic
1107#123—21no—
1108#123—1221no—
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—611no—
1120C22⋊Q8—611no—
1121C22⋊Q8—611no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
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⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8C22×D6111yescharacteristic
1137C22⋊Q8C22×D6111yescharacteristic
1138C22⋊Q8C22×D6111yescharacteristic
1139#121—21no—
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121—1221no—
1148#121C22×D6111yescharacteristic
1149#120—21no—
1150#120—1221no—
1151#120—1221no—
1152#120—1221no—
1153C4×Q8—21no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—611no—
1157C4×Q8—611no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8—1221no—
1166C4×Q8—1221no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8—1221no—
1173C4×Q8C22×D6111yescharacteristic
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—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4C22×D6111yescharacteristic
1200C4×D4C22×D6111yescharacteristic
1201#117—611no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117C22×D6111yescharacteristic
1218#117C22×D6111yescharacteristic
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—1221no—
1224C2×C4⋊C4—1221no—
1225C2×C22⋊C4—21no—
1226C2×C22⋊C4—1221no—
1227C2×C22⋊C4—1221no—
1228C2×C22⋊C4—1221no—
1229C2×C42—611no—
1230C2×C42—611no—
1231C2×C42—611no—
1232C2×C42—1221no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107C22×D6111yescharacteristic
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106C22×D6111yescharacteristic
1256#106C22×D6111yescharacteristic
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8—611no—
1261C4⋊C8—611no—
1262C4⋊C8—611no—
1263C4⋊C8—611no—
1264C4⋊C8—611no—
1265C4⋊C8—611no—
1266C4⋊C8C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#102—611no—
1282#102—611no—
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#102C22×D6111yescharacteristic
1294#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299C22⋊C8—611no—
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8C22×D6111yescharacteristic
1304C22⋊C8C22×D6111yescharacteristic
1305#97—611no—
1306#97—611no—
1307#97—611no—
1308#97C22×D6111yescharacteristic
1309C4×C8—611no—
1310C4×C8—611no—
1311C24—21no—
1312C24—1221no—
1313#41—22no—
1314#41—41no—
1315#41—4882no—
1316#41—2442no—
1317C2×Q8—21no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—2444no—
1326C2×Q8C23×D6111yescharacteristic
1327C2×Q8C23×D6111yescharacteristic
1328C2×D4—22no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—41no—
1333C2×D4—611no—
1334C2×D4—611no—
1335C2×D4—611no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1222no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—2441no—
1344C2×D4—2444no—
1345C2×D4D4×D6111yescharacteristic
1346C2×D4C23×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—1221no—
1358C22×C4—1221no—
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—4882no—
1369C22×C4—4882no—
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372Q16—41no—
1373Q16—2441no—
1374SD16—22no—
1375SD16—41no—
1376SD16—1222no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380M16—41no—
1381M16—2441no—
1382C2×C8—41no—
1383C2×C8—611no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—2441no—
1388C2×C8—2441no—
1389C2×C8—2441no—
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
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⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4D4×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
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⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4D4×D6111yescharacteristic
1484C22⋊C4D4×D6111yescharacteristic
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42C23×D6111yescharacteristic
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—81no—
1513C23—611no—
1514C23—1221no—
1515C23—4881no—
1516C23—2442no—
1517C23—2442no—
1518C23C2×D4×D6111yescharacteristic
1519C23C2×D4×D6111yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—42no—
1525Q8—1221no—
1526Q8—1221no—
1527Q8—4881no—
1528Q8—2441no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8—2442no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—41no—
1537D4—42no—
1538D4—42no—
1539D4—81no—
1540D4—1222no—
1541D4—1222no—
1542D4—1221no—
1543D4—1221no—
1544D4—4881no—
1545D4—4881no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2442no—
1550D4#1451982412yes—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—1222no—
1571C2×C4—1222no—
1572C2×C4—1222no—
1573C2×C4—1222no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2441no—
1594C2×C4—2441no—
1595C2×C4—2442no—
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C24×D6111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C22—21no—
1610C22—21no—
1611C22—22no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—84no—
1622C22—612no—
1623C22—1221no—
1624C22—1221no—
1625C22—4884no—
1626C22—2441no—
1627C22—2441no—
1628C22—2441no—
1629C22C22×D4×D6111yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—612no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—1221no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4C2×#1451982411yescharacteristic
1655C4#1684059711yescharacteristic
1656C2—41no—
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—1222no—
1661C2—4881no—
1662C2#2145949011yescharacteristic
1663C2#575×D6111yescharacteristic
1664C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3311C2
socleC22×C61C23×D4
prime radical#21459424C2
hypercenter#3311D61
hypocenterC61#62126
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #21459699C2semidirect
3. #21458765C2semidirect
4. #21458757C2semidirect
5. #21458586C2semidirect
6. #21458584C2semidirect
7. #21458366C2semidirect
8. #21458364C2semidirect
9. #21458269C2semidirect
10. #21458267C2semidirect
11. #21458193C2semidirect
12. #21458191C2semidirect
13. #21457855C2semidirect
14. #21457841C2semidirect
15. #21457833C2semidirect
16. #21457655C2semidirect
17. #21457647C2semidirect
18. #21457187C2semidirect
19. #21457153C2semidirect
20. #21457130C2semidirect
21. #21457036C2semidirect
22. #21457014C2semidirect
23. #21457001C2semidirect
24. #21455974C2semidirect
25. #21455916C2semidirect
26. #21455822C2semidirect
27. #21455613C2semidirect
28. #21455603C2semidirect
29. #476×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3311C2semidirect
33. #16840491C22semidirect
35. #16840487C22semidirect
36. #16840482C22semidirect
44. #16840451C22semidirect
48. #16840446C22semidirect
57. #16840316C22semidirect
58. #16840315C22semidirect
59. #16840315C22semidirect
60. #16840314C22semidirect
61. #16840314C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840171C22semidirect
76. #16840170C22semidirect
77. #16840169C22semidirect
78. #16840168C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
83. #16840121C22semidirect
84. #16840118C22semidirect
85. #16840118C22semidirect
86. #16840104C22semidirect
87. #16840100C22semidirect
88. #16840100C22semidirect
89. #16840099C22semidirect
90. #16840096C22semidirect
91. #16840093C22semidirect
92. #16840091C22semidirect
93. #16840091C22semidirect
94. #16840090C22semidirect
96. #16840087C22semidirect
98. #16840086C22semidirect
99. #16840083C22semidirect
102. #16840072C22semidirect
103. #16840071C22semidirect
104. #16840071C22semidirect
105. #16840070C22semidirect
106. #16840069C22semidirect
107. #16840067C22semidirect
110. #16840064C22semidirect
113. #16840060C22semidirect
114. #16840055C22semidirect
115. #16840055C22semidirect
116. #16840053C22semidirect
118. #16840051C22semidirect
119. #16840051C22semidirect
122. #16840050C22semidirect
123. #16840050C22semidirect
124. #16840049C22semidirect
125. #16840046C22semidirect
126. #16840045C22semidirect
127. #16840045C22semidirect
128. #16840041C22semidirect
130. #16840040C22semidirect
131. #16840018C22semidirect
134. #16840002C22semidirect
135. #16840000C22semidirect
136. #16839993C22semidirect
137. #16839991C22semidirect
139. #16839989C22semidirect
141. #16839987C22semidirect
142. #16839986C22semidirect
143. #16839981C22semidirect
144. #16839970C22semidirect
145. #16839966C22semidirect
147. #16839965C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839869C22semidirect
157. #16839866C22semidirect
158. #16839864C22semidirect
161. #16839860C22semidirect
164. #16839853C22semidirect
166. SD16×Dic61C22semidirect
168. #16839834C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839825C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839800C22semidirect
178. #16839798C22semidirect
179. #106×D61C22semidirect
180. #106×D61C22semidirect
181. #16839785C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
188. C61×#556C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
194. C61×#470C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
200. C61×#435C22semidirect
837. #3311D61semidirect
870. #556C2×D61semidirect
918. #489C2×D61semidirect
924. #485C2×D61semidirect
936. #482C2×D61semidirect
970. #470C2×D61semidirect
980. #465C2×D61semidirect
984. #464C2×D61semidirect
1014. #435C2×D61semidirect
1035. C61#62126semidirect

Maximal subgroups

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

subgroupindex
#214596992
#214594242
#214587652
#214587572
#214585862
#214585842
#214583662
#214583642
#214582692
#214582672
#214581932
#214581912
#214578552
#214578412
#214578332
#214576552
#214576472
#214571872
#214571532
#214571302
#214570362
#214570142
#214570012
#214559742
#214559162
#214558222
#214556132
#214556032
#476×D612
#214549392
C61×#33112
#6212661