Finite Group Databasebeta

← #30570839

Subgroups — #30570839

Order 15616.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460227C211yesmaximal, characteristic, complemented
2#21459634C211yesmaximal, characteristic, complemented
3#21458737C211yesmaximal, characteristic, complemented
4#21458735C211yesmaximal, characteristic, complemented
5#21458732C211yesmaximal, characteristic, complemented
6#21458726C211yesmaximal, characteristic, complemented
7#21458702C211yesmaximal, characteristic, complemented
8#21458700C211yesmaximal, characteristic, complemented
9#21458671C211yesmaximal, characteristic, complemented
10#21458669C211yesmaximal, characteristic, complemented
11#21458636C211yesmaximal, characteristic, complemented
12#21458630C211yesmaximal, characteristic, complemented
13#21458540C211yesmaximal, characteristic, complemented
14#21458534C211yesmaximal, characteristic, complemented
15#21458507C211yesmaximal, characteristic, complemented
16#21458501C211yesmaximal, characteristic, complemented
17#21458482C211yesmaximal, characteristic, complemented
18#21458476C211yesmaximal, characteristic, complemented
19#21457108C211yesmaximal, characteristic, complemented
20#21457102C211yesmaximal, characteristic, complemented
21#21457100C211yesmaximal, characteristic, complemented
22#21456968C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21456084C211yesmaximal, characteristic, complemented
25#21456083C211yesmaximal, characteristic, complemented
26#21456076C211yesmaximal, characteristic, complemented
27#21456075C211yesmaximal, characteristic, complemented
28#21455885C211yesmaximal, characteristic, complemented
29#21455874C211yesmaximal, characteristic
30#21454918C211yesmaximal, characteristic, complemented
31C61×#3243C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840513—21no—
34#16840495C2211yescharacteristic
35#16840494C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic
37#16840492C2211yescharacteristic
38#16840492C2211yescharacteristic
39#16840492C2211yescharacteristic
40#16840489C2211yescharacteristic
41#16840489C2211yescharacteristic
42#16840484C2211yescharacteristic
43#16840481C2211yescharacteristic
44#16840479—21no—
45#16840468C2211yescharacteristic
46#16840468C2211yescharacteristic
47#16840466—21no—
48#16840466—21no—
49D4×Dic122C2211yescharacteristic
50#16840427C2211yescharacteristic
51#16840427C2211yescharacteristic
52#16840427C2211yescharacteristic
53#16840425—21no—
54#16840425—21no—
55#16840425—21no—
56#16840392—21no—
57#16840390C2211yescharacteristic
58#16840389—21no—
59#16840385C2211yescharacteristic
60#16840383C2211yescharacteristic
61#16840380—21no—
62#16840379C2211yescharacteristic
63#16840376—21no—
64#16840334—21no—
65#16840332—21no—
66#16840318—21no—
67#16840315C2211yescharacteristic
68#16840314C2211yescharacteristic
69#16840307C2211yescharacteristic
70C2×#14519776C2211yescharacteristic
71C4⋊Q8×D61—21no—
72#16840243C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840230C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840169C2211yescharacteristic
77#16840169C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840166C2211yescharacteristic
81#16840166C2211yescharacteristic
82#16840166C2211yescharacteristic
83#16840166C2211yescharacteristic
84#16840165C2211yescharacteristic
85#16840124C2211yescharacteristic
86#16840123C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840119C2211yescharacteristic
89#16840118C2211yescharacteristic
90#16840115C2211yescharacteristic
91#16840111C2211yescharacteristic
92#16840111C2211yescharacteristic
93#16840107C2211yescharacteristic
94#16840107C2211yescharacteristic
95#16840103C2211yescharacteristic
96#16840098C2211yescharacteristic
97#16840097C2211yescharacteristic
98#16840095C2211yescharacteristic
99#16840086C2211yescharacteristic
100#16840076C2211yescharacteristic
101#16840075C2211yescharacteristic
102#16840073C2211yescharacteristic
103#16840072C2211yescharacteristic
104#16840071C2211yescharacteristic
105#16840066C2211yescharacteristic
106#16840061C2211yescharacteristic
107#16840060C2211yescharacteristic
108#16840059C2211yescharacteristic
109#16840058C2211yescharacteristic
110#16840056C2211yescharacteristic
111#16840056C2211yescharacteristic
112#16840056C2211yescharacteristic
113#16840056C2211yescharacteristic
114#16840056C2211yescharacteristic
115#16840056C2211yescharacteristic
116#16840055C2211yescharacteristic
117#16840055C2211yescharacteristic
118#16840055C2211yescharacteristic
119#16840054C2211yescharacteristic
120#16840054C2211yescharacteristic
121#16840051C2211yescharacteristic
122#16840046C2211yescharacteristic
123#16840043C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840041C2211yescharacteristic
128#16840041C2211yescharacteristic
129#16840041C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840040C2211yescharacteristic
132#16840040C2211yescharacteristic
133#16840039C2211yescharacteristic
134#16840039C2211yescharacteristic
135#16839987C2211yescharacteristic
136#16839985C2211yescharacteristic
137#16839983C2211yescharacteristic
138#16839981C2211yescharacteristic
139#16839980C2211yescharacteristic
140#16839978C2211yescharacteristic
141#16839976C2211yescharacteristic
142#16839974C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839966C2211yescharacteristic
145#16839961C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839926C2211yescharacteristic
148#16839922C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839905C2211yescharacteristic
151#16839891C2211yescharacteristic
152#16839891C2211yescharacteristic
153#16839890C2211yescharacteristic
154#16839890C2211yescharacteristic
155C8×Dic122C2211yescharacteristic
156C8×Dic122C2211yescharacteristic
157#16839886C2211yescharacteristic
158#16839886C2211yescharacteristic
159#16839865C2211yescharacteristic
160#16839864C2211yescharacteristic
161#16839864C2211yescharacteristic
162#16839862C2211yescharacteristic
163#16839861C2211yescharacteristic
164#16839861C2211yescharacteristic
165#16839860C2211yescharacteristic
166#16839859C2211yescharacteristic
167C4×Dic244C2211yescharacteristic
168#16839856C2211yescharacteristic
169#16839856C2211yescharacteristic
170C4×#11758202C2211yescharacteristic
171#16839854C2211yescharacteristic
172#16839854C2211yescharacteristic
173#16839853C2211yescharacteristic
174#16839849C2211yescharacteristic
175#16839849C2211yescharacteristic
176#16839847C2211yescharacteristic
177C4×D488C2211yescharacteristic
178#16839844C2211yescharacteristic
179#16839844C2211yescharacteristic
180C4×#11758199C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839823C2211yescharacteristic
184#16839820C2211yescharacteristic
185#16839820C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#544C2211yescharacteristic
189C61×#542C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#500C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#488C2211yescharacteristic
194C61×#485C2211yescharacteristic
195C61×#484C2211yescharacteristic
196C61×#482C2211yescharacteristic
197C61×#480C2211yescharacteristic
198C61×#479C2211yescharacteristic
199C61×#478C2211yescharacteristic
200C61×#477C2211yescharacteristic
201C61×#474C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C22×Dic122—21no—
206C22×Dic122—21no—
207C2×Q8×D61—21no—
208C2×Q8×D61—21no—
209C2×Q8×D61—21no—
210C2×Dic244C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216C2×D488C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218#14519777—21no—
219#14519777—21no—
220#14519777C2311yescharacteristic
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776D411yescharacteristic
231#14519776D411yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519775—21no—
243#14519775—21no—
244#14519775—21no—
245#14519775—21no—
246#14519775—21no—
247#14519775—21no—
248#14519775C2311yescharacteristic
249#14519773C2311yescharacteristic
250#14519772—21no—
251#14519772—21no—
252#14519772—21no—
253#14519771—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519769—21no—
258#14519768D411yescharacteristic
259#14519768D411yescharacteristic
260#14519768C2311yescharacteristic
261#14519768C2311yescharacteristic
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519766C2311yescharacteristic
268#14519765C2311yescharacteristic
269#14519764—21no—
270#14519764C2311yescharacteristic
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519761—21no—
277#14519760—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519758—21no—
283#14519757—21no—
284#14519757—21no—
285#14519757—21no—
286#14519756—21no—
287#14519756C2311yescharacteristic
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754D411yescharacteristic
308#14519754D411yescharacteristic
309#14519754D411yescharacteristic
310#14519754D411yescharacteristic
311#14519753—21no—
312#14519753—21no—
313#14519753—21no—
314#14519751C2311yescharacteristic
315#14519749—21no—
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318C4×Dic122—21no—
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742—21no—
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519736C2311yescharacteristic
359#14519735—21no—
360#14519735—21no—
361#14519734—21no—
362#14519734—21no—
363#14519733—21no—
364#14519733—21no—
365C2×C4⋊Dic61C2311yescharacteristic
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C42×D61—21no—
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519687C2311yescharacteristic
427#14519687C2311yescharacteristic
428C4×#92418C2311yescharacteristic
429C8×Dic61C2311yescharacteristic
430C8×Dic61C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61—21no—
436C4⋊Q8×C61C2311yescharacteristic
437C4⋊Q8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#125×C61C2311yescharacteristic
443#124×C61—21no—
444#124×C61C2311yescharacteristic
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447C22⋊Q8×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C4⋊C4×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C22×Dic61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61C2×D411yescharacteristic
495C22×Dic61C2×D411yescharacteristic
496Q8×D61—82no—
497Q8×D61—82no—
498Q8×D61—82no—
499#11758224—82no—
500#11758222—22no—
501#11758222—22no—
502C2×D244C2411yescharacteristic
503C2×D244C2411yescharacteristic
504C2×C4×D61—21no—
505C2×C4×D61—21no—
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—82no—
526C2×Dic122—82no—
527C2×Dic122C2×D411yescharacteristic
528C2×Dic122C2×D411yescharacteristic
529C2×Dic122C2×D411yescharacteristic
530C2×Dic122C2×D411yescharacteristic
531C2×Dic122C2411yescharacteristic
532C2×Dic122C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C2×C8×C61C2411yescharacteristic
535C2×C8×C61C2411yescharacteristic
536C2×C8×C61C2411yescharacteristic
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61C2×D411yescharacteristic
562C22⋊C4×C61C2×D411yescharacteristic
563C42×C61—21no—
564C42×C61—21no—
565C42×C61C2411yescharacteristic
566C42×C61C2411yescharacteristic
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61C2×D411yescharacteristic
573C22⋊Dic61C2×D411yescharacteristic
574#11758202—22no—
575#11758201—22no—
576#11758200—22no—
577#11758199—22no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61C2×D411yescharacteristic
599C4⋊Dic61C2×D411yescharacteristic
600C4⋊Dic61C2×D411yescharacteristic
601C4⋊Dic61C2×D411yescharacteristic
602C4⋊Dic61C2×D411yescharacteristic
603C4⋊Dic61C2×D411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608#11758196—21no—
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196C2×D411yescharacteristic
633#11758196C2×D411yescharacteristic
634#11758196C2×D411yescharacteristic
635#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640C4×Dic61—21no—
641C4×Dic61—21no—
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61C2×D411yescharacteristic
652C4×Dic61C2×D411yescharacteristic
653C4×Dic61C2411yescharacteristic
654C4×Dic61C2411yescharacteristic
655C4×Dic61C2411yescharacteristic
656C4×Dic61C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661Dic244—22no—
662D488—22no—
663#11758190—22no—
664#11758190—22no—
665C23×C61—21no—
666C23×C61C22×D411yescharacteristic
667C22×D61—21no—
668C22×D61—21no—
669Q8×C61—21no—
670Q8×C61—21no—
671Q8×C61—81no—
672Q8×C61—81no—
673Q8×C61—81no—
674D4×C61—21no—
675D4×C61—21no—
676D4×C61—81no—
677C2×C4×C61—21no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—81no—
687C2×C4×C61—81no—
688C2×C4×C61C22×D411yescharacteristic
689C2×C4×C61C22×D411yescharacteristic
690C2×C4×C61C22×D411yescharacteristic
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C2511yescharacteristic
694C22⋊D61—24no—
695C22⋊D61—42no—
696C22⋊D61—81no—
697C22⋊D61—81no—
698C2×Dic61—21no—
699C2×Dic61—22no—
700C2×Dic61—22no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—42no—
707C2×Dic61—81no—
708C2×Dic61—81no—
709C2×Dic61C22×D411yescharacteristic
710C2×Dic61C22×D411yescharacteristic
711C2×Dic61C22×D411yescharacteristic
712C2×Dic61C22×D411yescharacteristic
713C2×Dic61C22×D411yescharacteristic
714C2×Dic61C22×D411yescharacteristic
715C2×Dic61C22×D411yescharacteristic
716C2×Dic61C22×D411yescharacteristic
717D244—21no—
718D244—21no—
719D244—21no—
720D2442−1+412yes—
721C4×D61—24no—
722C4×D61—42no—
723C4×D61—42no—
724C4×D61—42no—
725C4×D61—81no—
726C4×D61—81no—
727C4×D61—81no—
728C4×D61—81no—
729C4×D61—81no—
730C4×D61—81no—
731Dic122—21no—
732Dic122—22no—
733Dic122—22no—
734Dic122—22no—
735Dic122—22no—
736Dic122—21no—
737Dic122—21no—
738Dic122—42no—
739Dic122—42no—
740Dic122—42no—
741Dic122—81no—
742Dic122—81no—
743Dic122—81no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic122—81no—
749Dic1222−1+412yes—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753C8×C61—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#92418—21no—
758#61870—611nomaximal, Sylow
759C22×C61—21no—
760C22×C61—21no—
761C22×C61—21no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61C23×D411yescharacteristic
766C2×D61—22no—
767C2×D61—41no—
768C2×D61—41no—
769C2×D61—41no—
770C2×D61—41no—
771C2×D61—41no—
772C4×C61—21no—
773C4×C61—21no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—41no—
778C4×C61—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61C2×2−1+411yescharacteristic
785C4×C61C2×2−1+411yescharacteristic
786Dic61—22no—
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—21no—
793Dic61—41no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61#57612yes—
799Dic61#57812yes—
800#3550—611no—
801#3503—611no—
802#3386—611no—
803#3386—611no—
804#3385—611no—
805#3385—611no—
806Q8×Q16—611no—
807Q8×Q16—611no—
808Q8×D8—611no—
809Q8×D8—611no—
810#3375—611no—
811#3375—611no—
812#3367—611no—
813#3367—611no—
814#3364—611no—
815#3364—611no—
816#3361—611no—
817#3361—611no—
818#3243—611no—
819#3243—611no—
820#3243—611no—
821#3243D6111yescharacteristic, complemented
822#3230—611no—
823#3226—611no—
824#3124—611no—
825#3124—611no—
826#3124—611no—
827#3124—611no—
828#3107—611no—
829#3106—611no—
830#2986—611no—
831C2×C61—41no—
832C2×C61—81no—
833C2×C61#348611yescharacteristic
834C2×C61C2×#57611yescharacteristic
835C2×C61C2×#57811yescharacteristic
836D61—42no—
837D61—81no—
838#563—1221no—
839#563—1221no—
840#559—611no—
841#559—611no—
842Q82—611no—
843Q82—611no—
844Q82—611no—
845Q82—611no—
846#557—611no—
847#557—611no—
848#556—611no—
849#556—611no—
850#556—1221no—
851#554—611no—
852#554—611no—
853#554—1221no—
854#554—1221no—
855D4×Q8—611no—
856D4×Q8—611no—
857D4×Q8—611no—
858D4×Q8—611no—
859D4×Q8—1221no—
860D4×Q8—1221no—
861D4×Q8—1221no—
862#544—611no—
863#544—1221no—
864#544—1221no—
865#544C2×D6111yescharacteristic
866#542—611no—
867#542—611no—
868#542—611no—
869#542—1221no—
870#542—1221no—
871#542C2×D6111yescharacteristic
872#536—1221no—
873#536—1221no—
874#533—611no—
875#533—611no—
876#533—1221no—
877#532—611no—
878C2×C4⋊Q8—611no—
879C2×C4⋊Q8—1221no—
880#520—611no—
881#520—611no—
882C4×#41—611no—
883#501—611no—
884#501—611no—
885#501—611no—
886#501C2×D6111yescharacteristic
887#500—611no—
888#500—611no—
889#500—611no—
890#500—611no—
891#500—611no—
892#500—611no—
893#500—611no—
894#500C2×D6111yescharacteristic
895#489—611no—
896#489—611no—
897#489—611no—
898#489C2×D6111yescharacteristic
899#488—611no—
900#488—611no—
901#488—611no—
902#488C2×D6111yescharacteristic
903#487—611no—
904#487—611no—
905#486—611no—
906#486—611no—
907#485—611no—
908#485C2×D6111yescharacteristic
909#484—611no—
910#484—611no—
911#484—611no—
912#484C2×D6111yescharacteristic
913#482—611no—
914#482C2×D6111yescharacteristic
915#480—611no—
916#480—611no—
917#480—611no—
918#480C2×D6111yescharacteristic
919#479—611no—
920#479—611no—
921#479—611no—
922#479C2×D6111yescharacteristic
923#478—611no—
924#478—611no—
925#478—611no—
926#478C2×D6111yescharacteristic
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477—611no—
936#477—611no—
937#477—611no—
938#477—611no—
939#477C2×D6111yescharacteristic
940#476—611no—
941#475—611no—
942#474—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
947#474—611no—
948#474—611no—
949#474—611no—
950#474—611no—
951#474—611no—
952#474—611no—
953#474—611no—
954#474C2×D6111yescharacteristic
955#464—611no—
956#464—611no—
957#464—611no—
958#464—611no—
959#463—611no—
960#463—611no—
961#463—611no—
962#463—611no—
963#462—611no—
964#461—611no—
965#460—611no—
966#459—611no—
967#452—611no—
968#452—611no—
969#449—611no—
970#449—611no—
971#446—611no—
972#446—611no—
973#446—611no—
974#446—611no—
975C8×Q8—611no—
976C8×Q8—611no—
977C8×Q8—611no—
978C8×Q8—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987C4×Q16—611no—
988C4×Q16—611no—
989C4×Q16—611no—
990C4×Q16—611no—
991C4×Q16—611no—
992C4×Q16—611no—
993C4×SD16—611no—
994C4×SD16—611no—
995C4×SD16—611no—
996C4×SD16—611no—
997C4×D8—611no—
998C4×D8—611no—
999C4×D8—611no—
1000C4×D8—611no—
1001C4×D8—611no—
1002C4×D8—611no—
1003#433—611no—
1004#433—611no—
1005#433—611no—
1006#433C2×D6111yescharacteristic
1007#431—611no—
1008#431—611no—
1009C61#6187011yescharacteristic, complemented, Sylow
1010C2×#41—611no—
1011C2×#41—1221no—
1012C22×Q8—1221no—
1013C22×Q8—1221no—
1014C22×Q8—1221no—
1015C22×Q8—1221no—
1016C22×Q8—1221no—
1017C2×Q16—611no—
1018C2×Q16—611no—
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16—611no—
1022C2×SD16—611no—
1023C2×D8—611no—
1024C2×D8—611no—
1025C4⋊Q8—21no—
1026C4⋊Q8—611no—
1027C4⋊Q8—611no—
1028C4⋊Q8—611no—
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—611no—
1037C4⋊Q8—611no—
1038C4⋊Q8—611no—
1039C4⋊Q8—611no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8—1221no—
1043C4⋊Q8—1221no—
1044C4⋊Q8—1221no—
1045C4⋊Q8—1221no—
1046C4⋊Q8—1221no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052C4⋊Q8—1221no—
1053C4⋊Q8—1221no—
1054C4⋊Q8—1221no—
1055C4⋊Q8—1221no—
1056C4⋊Q8—1221no—
1057C4⋊Q8C22×D6111yescharacteristic
1058C4⋊Q8C22×D6111yescharacteristic
1059C4⋊Q8C22×D6111yescharacteristic
1060#127—611no—
1061#126—21no—
1062#126—1221no—
1063#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#126—1221no—
1067#126—1221no—
1068#126—1221no—
1069#125—21no—
1070#125—611no—
1071#125—611no—
1072#125—611no—
1073#125—611no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125C22×D6111yescharacteristic
1081#125C22×D6111yescharacteristic
1082#124—21no—
1083#124—611no—
1084#124—611no—
1085#124—611no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124C22×D6111yescharacteristic
1093#123—21no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—611no—
1105C22⋊Q8—611no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8C22×D6111yescharacteristic
1136#121—611no—
1137#121—1221no—
1138#121C22×D6111yescharacteristic
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8C22×D6111yescharacteristic
1162C4×D4—611no—
1163C4×D4—611no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4C22×D6111yescharacteristic
1183#117—611no—
1184#117—1221no—
1185#117—1221no—
1186#117—1221no—
1187#117—1221no—
1188#117—1221no—
1189#117—1221no—
1190#117C22×D6111yescharacteristic
1191#117C22×D6111yescharacteristic
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—1221no—
1194C2×C4⋊C4—1221no—
1195C2×C4⋊C4—1221no—
1196C2×C4⋊C4—1221no—
1197C2×C4⋊C4—1221no—
1198C2×C4⋊C4C22×D6111yescharacteristic
1199C2×C42—611no—
1200C2×C42—1221no—
1201#107—611no—
1202#107—611no—
1203#107—611no—
1204#107—611no—
1205#107—611no—
1206#107—611no—
1207#107—611no—
1208#107—611no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107C22×D6111yescharacteristic
1216#107C22×D6111yescharacteristic
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106C22×D6111yescharacteristic
1224#106C22×D6111yescharacteristic
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8—611no—
1229C4⋊C8—611no—
1230C4⋊C8—611no—
1231C4⋊C8—611no—
1232C4⋊C8—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8C22×D6111yescharacteristic
1236C4⋊C8C22×D6111yescharacteristic
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103C22×D6111yescharacteristic
1250#103C22×D6111yescharacteristic
1251#103C22×D6111yescharacteristic
1252#103C22×D6111yescharacteristic
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—611no—
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262#102—611no—
1263#102—611no—
1264#102—611no—
1265#102C22×D6111yescharacteristic
1266#102C22×D6111yescharacteristic
1267#102C22×D6111yescharacteristic
1268#102C22×D6111yescharacteristic
1269C22⋊C8—611no—
1270C22⋊C8—611no—
1271C22⋊C8C22×D6111yescharacteristic
1272C22⋊C8C22×D6111yescharacteristic
1273#97—611no—
1274#97—611no—
1275#97—611no—
1276#97C22×D6111yescharacteristic
1277C4×C8—611no—
1278C4×C8—611no—
1279C4×C8—611no—
1280C4×C8—611no—
1281C4×C8—611no—
1282C4×C8—611no—
1283C4×C8—611no—
1284C4×C8C22×D6111yescharacteristic
1285#41—1222no—
1286#41—1222no—
1287#41—4882no—
1288C2×Q8—21no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—611no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—611no—
1295C2×Q8—611no—
1296C2×Q8—611no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1221no—
1302C2×Q8—1221no—
1303C2×Q8—1221no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1221no—
1308C2×Q8—4882no—
1309C2×Q8—4882no—
1310C2×Q8—4882no—
1311C2×Q8—4882no—
1312C2×Q8—4882no—
1313C2×Q8C23×D6111yescharacteristic
1314C2×D4—21no—
1315C2×D4—611no—
1316C2×D4—611no—
1317C2×D4—1221no—
1318C2×D4—1221no—
1319C2×D4—1221no—
1320C2×D4—1221no—
1321C2×D4C23×D6111yescharacteristic
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4—1221no—
1333C22×C4—1221no—
1334C22×C4—1221no—
1335C22×C4—1221no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4C23×D6111yescharacteristic
1340Q16—1222no—
1341Q16—1222no—
1342SD16—1222no—
1343SD16—1222no—
1344SD16—1222no—
1345SD16—1222no—
1346D8—1222no—
1347D8—1222no—
1348C2×C8—611no—
1349C2×C8—611no—
1350C2×C8—611no—
1351C2×C8—611no—
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C2×C8C23×D6111yescharacteristic
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4D4×D6111yescharacteristic
1415C4⋊C4D4×D6111yescharacteristic
1416C4⋊C4C23×D6111yescharacteristic
1417C4⋊C4C23×D6111yescharacteristic
1418C4⋊C4C23×D6111yescharacteristic
1419C4⋊C4C23×D6111yescharacteristic
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4D4×D6111yescharacteristic
1450C22⋊C4D4×D6111yescharacteristic
1451C42—21no—
1452C42—21no—
1453C42—611no—
1454C42—611no—
1455C42—611no—
1456C42—611no—
1457C42—611no—
1458C42—611no—
1459C42—1221no—
1460C42—1221no—
1461C42—1221no—
1462C42—1221no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42C23×D6111yescharacteristic
1471C42C23×D6111yescharacteristic
1472C23—21no—
1473C23—1221no—
1474C23—1221no—
1475C23C2×D4×D6111yescharacteristic
1476Q8—21no—
1477Q8—21no—
1478Q8—81no—
1479Q8—81no—
1480Q8—81no—
1481Q8—612no—
1482Q8—1222no—
1483Q8—1222no—
1484Q8—1222no—
1485Q8—1222no—
1486Q8—1221no—
1487Q8—1221no—
1488Q8—1221no—
1489Q8—4881no—
1490Q8—4881no—
1491Q8—4881no—
1492Q8—4881no—
1493Q8—4881no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—2442no—
1498Q8—2442no—
1499Q8—2442no—
1500D4—21no—
1501D4—21no—
1502D4—81no—
1503D4—612no—
1504D4—1224no—
1505D4—1221no—
1506D4—1221no—
1507D4—1221no—
1508D4—4881no—
1509D4—4881no—
1510D4—2442no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—611no—
1523C2×C4—611no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—1224no—
1531C2×C4—1222no—
1532C2×C4—1222no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—4881no—
1540C2×C4—4881no—
1541C2×C4—4881no—
1542C2×C4—4881no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—4881no—
1547C2×C4—2442no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4C2×D4×D6111yescharacteristic
1552C2×C4C2×D4×D6111yescharacteristic
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C24×D6111yescharacteristic
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—1221no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—1222no—
1572C22—2441no—
1573C22—2441no—
1574C22—2441no—
1575C22—2441no—
1576C22—2441no—
1577C22C22×D4×D6111yescharacteristic
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—612no—
1591C4—612no—
1592C4—1222no—
1593C4—1221no—
1594C4—1221no—
1595C4—1221no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—2441no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C42−1+4×D6111yescharacteristic
1605C42−1+4×D6111yescharacteristic
1606C2—41no—
1607C2—81no—
1608C2—4881no—
1609C2—2442no—
1610C2#2145946811yescharacteristic
1611C2#576×D6111yescharacteristic
1612C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3243C2
socleC22×C61C23×D4
prime radical#21455874C2
hypercenter#3243D61
hypocenterC61#61870
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #21460227C2semidirect
2. #21459634C2semidirect
3. #21458737C2semidirect
4. #21458735C2semidirect
5. #21458732C2semidirect
6. #21458726C2semidirect
7. #21458702C2semidirect
8. #21458700C2semidirect
9. #21458671C2semidirect
10. #21458669C2semidirect
11. #21458636C2semidirect
12. #21458630C2semidirect
13. #21458540C2semidirect
14. #21458534C2semidirect
15. #21458507C2semidirect
16. #21458501C2semidirect
17. #21458482C2semidirect
18. #21458476C2semidirect
19. #21457108C2semidirect
20. #21457102C2semidirect
21. #21457100C2semidirect
22. #21456968C2semidirect
23. #21456938C2semidirect
24. #21456084C2semidirect
25. #21456083C2semidirect
26. #21456076C2semidirect
27. #21456075C2semidirect
28. #21455885C2semidirect
30. #21454918C2semidirect
31. C61×#3243C2semidirect
821. #3243D61semidirect
1009. C61#61870semidirect

Maximal subgroups

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

subgroupindex
#214602272
#214596342
#214587372
#214587352
#214587322
#214587262
#214587022
#214587002
#214586712
#214586692
#214586362
#214586302
#214585402
#214585342
#214585072
#214585012
#214584822
#214584762
#214571082
#214571022
#214571002
#214569682
#214569382
#214560842
#214560832
#214560762
#214560752
#214558852
#214558742
#214549182
C61×#32432
#6187061