Finite Group Databasebeta

← #30576142

Subgroups — #30576142

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#21459697C211yesmaximal, characteristic, complemented
2#21459420C211yesmaximal, characteristic
3#21458769C211yesmaximal, characteristic, complemented
4#21458761C211yesmaximal, characteristic, complemented
5#21458582C211yesmaximal, characteristic, complemented
6#21458580C211yesmaximal, characteristic, complemented
7#21458359C211yesmaximal, characteristic, complemented
8#21458357C211yesmaximal, characteristic, complemented
9#21458276C211yesmaximal, characteristic, complemented
10#21458274C211yesmaximal, characteristic, complemented
11#21458204C211yesmaximal, characteristic, complemented
12#21458202C211yesmaximal, characteristic, complemented
13#21457856C211yesmaximal, characteristic, complemented
14#21457848C211yesmaximal, characteristic, complemented
15#21457840C211yesmaximal, characteristic, complemented
16#21457658C211yesmaximal, characteristic, complemented
17#21457650C211yesmaximal, characteristic, complemented
18#21457185C211yesmaximal, characteristic, complemented
19#21457149C211yesmaximal, characteristic, complemented
20#21457133C211yesmaximal, characteristic, complemented
21#21457038C211yesmaximal, characteristic, complemented
22#21457012C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21455977C211yesmaximal, characteristic, complemented
25#21455913C211yesmaximal, characteristic, complemented
26#21455822C211yesmaximal, characteristic, complemented
27#21455613C211yesmaximal, characteristic, complemented
28#21455604C211yesmaximal, characteristic, complemented
29C2×#16840050C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3310C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840489—21no—
34#16840489C2211yescharacteristic, complemented
35#16840488C2211yescharacteristic, complemented
36#16840483C2211yescharacteristic, complemented
37#16840480C2211yescharacteristic, complemented
38#16840479—21no—
39#16840469C2211yescharacteristic
40#16840469C2211yescharacteristic
41#16840464—21no—
42#16840464C2211yescharacteristic
43#16840464C2211yescharacteristic
44#16840454C2211yescharacteristic, complemented
45#16840452C2211yescharacteristic
46#16840449—21no—
47#16840447C2211yescharacteristic, complemented
48#16840445—21no—
49#16840443—21no—
50#16840443—21no—
51#16840406—21no—
52#16840406C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840371—21no—
55#16840369—21no—
56#16840334—21no—
57#16840318C2211yescharacteristic, complemented
58#16840316C2211yescharacteristic, complemented
59#16840315C2211yescharacteristic, complemented
60#16840314C2211yescharacteristic, complemented
61#16840314C2211yescharacteristic, complemented
62#16840310C2211yescharacteristic
63C2×#14519776C2211yescharacteristic, complemented
64#16840293—21no—
65#16840293C2211yescharacteristic
66#16840293C2211yescharacteristic
67#16840268—21no—
68#16840268—21no—
69#16840239—21no—
70C4×#11758224C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×D4×Dic61—21no—
73C2×D4×Dic61C2211yescharacteristic
74C2×D4×Dic61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840170C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840126C2211yescharacteristic
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840115C2211yescharacteristic, complemented
86#16840105C2211yescharacteristic, complemented
87#16840104C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840101C2211yescharacteristic, complemented
90#16840098C2211yescharacteristic, complemented
91#16840095C2211yescharacteristic, complemented
92#16840093C2211yescharacteristic, complemented
93#16840093C2211yescharacteristic, complemented
94#16840092C2211yescharacteristic, complemented
95#16840090C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic, complemented
97#16840085C2211yescharacteristic, complemented
98#16840084C2211yescharacteristic, complemented
99#16840084C2211yescharacteristic, complemented
100#16840083C2211yescharacteristic
101#16840073C2211yescharacteristic
102#16840072C2211yescharacteristic, complemented
103#16840071C2211yescharacteristic, complemented
104#16840070C2211yescharacteristic, complemented
105#16840068C2211yescharacteristic, complemented
106#16840067C2211yescharacteristic, complemented
107#16840066C2211yescharacteristic, complemented
108#16840064C2211yescharacteristic
109#16840064C2211yescharacteristic, complemented
110#16840062C2211yescharacteristic
111#16840060C2211yescharacteristic
112#16840060C2211yescharacteristic, complemented
113#16840056C2211yescharacteristic, complemented
114#16840056C2211yescharacteristic, complemented
115#16840050C2211yescharacteristic
116#16840050C2211yescharacteristic
117#16840050C2211yescharacteristic
118#16840050C2211yescharacteristic
119#16840050C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic, complemented
121#16840050C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic, complemented
123#16840050C2211yescharacteristic, complemented
124#16840050C2211yescharacteristic, complemented
125#16840048C2211yescharacteristic, complemented
126#16840047C2211yescharacteristic, complemented
127#16840046C2211yescharacteristic, complemented
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840020C2211yescharacteristic, complemented
132#16840018C2211yescharacteristic, complemented
133#16840006C2211yescharacteristic
134#16840003C2211yescharacteristic, complemented
135#16840001C2211yescharacteristic, complemented
136#16839990C2211yescharacteristic, complemented
137#16839990C2211yescharacteristic, complemented
138#16839989C2211yescharacteristic
139#16839988C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839983C2211yescharacteristic, complemented
142#16839983C2211yescharacteristic, complemented
143#16839982C2211yescharacteristic, complemented
144#16839982C2211yescharacteristic, complemented
145#16839971C2211yescharacteristic, complemented
146#16839965C2211yescharacteristic
147#16839965C2211yescharacteristic, complemented
148#16839965C2211yescharacteristic, complemented
149#16839959C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839913C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839870C2211yescharacteristic, complemented
157#16839867C2211yescharacteristic, complemented
158#16839863C2211yescharacteristic
159#16839863C2211yescharacteristic, complemented
160#16839862C2211yescharacteristic
161#16839859C2211yescharacteristic
162#16839859C2211yescharacteristic, complemented
163#16839853C2211yescharacteristic
164#16839853C2211yescharacteristic, complemented
165SD16×Dic61C2211yescharacteristic
166SD16×Dic61C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic, complemented
168#16839834C2211yescharacteristic
169#16839831C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic, complemented
171#16839825C2211yescharacteristic, complemented
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839799C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179C2×#14519709C2211yescharacteristic, complemented
180C2×#14519708C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187C2×#14519698C2211yescharacteristic
188C61×#552C2211yescharacteristic
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#480C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#460C2211yescharacteristic
197C61×#450C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224D411yescharacteristic
205C2×#11758224C2311yescharacteristic
206C22×Dic122—21no—
207C23×Dic61—21no—
208C23×Dic61—21no—
209C2×Dic244C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C22×#92418C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217C2×C8×D61C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776—21no—
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776C2311yescharacteristic
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519775C2311yescharacteristic
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519771—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#14519769C2311yescharacteristic
242#14519768—21no—
243#14519768—21no—
244#14519768—21no—
245#14519768C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519768C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519764—21no—
257#14519764—21no—
258#14519764C2311yescharacteristic
259#14519764C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519761—21no—
263#14519761—21no—
264#14519761—21no—
265#14519760—21no—
266#14519758—21no—
267#14519758—21no—
268#14519758—21no—
269#14519758—21no—
270#14519758—21no—
271#14519758—21no—
272#14519758—21no—
273#14519757C2311yescharacteristic
274#14519756—21no—
275#14519756C2311yescharacteristic
276#14519756C2311yescharacteristic
277#14519756C2311yescharacteristic
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519753C2311yescharacteristic
291#14519749—21no—
292#14519749—21no—
293#14519749—21no—
294#14519749—21no—
295#14519748—21no—
296#14519748C2311yescharacteristic
297#14519748C2311yescharacteristic
298#14519746—21no—
299#14519746—21no—
300Q8×Dic61C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302C4×Dic122—21no—
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122C2311yescharacteristic
308C4×Dic122C2311yescharacteristic
309C4×Dic122C2311yescharacteristic
310#14519742—21no—
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742D411yescharacteristic
317#14519742C2311yescharacteristic
318#14519742C2311yescharacteristic
319#14519742C2311yescharacteristic
320D4×Dic61—21no—
321D4×Dic61—21no—
322D4×Dic61—21no—
323D4×Dic61—21no—
324D4×Dic61—21no—
325D4×Dic61—21no—
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61D411yescharacteristic
332D4×Dic61C2311yescharacteristic
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339C4×C22⋊D61—21no—
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519737—21no—
343#14519737D411yescharacteristic
344#14519737D411yescharacteristic
345#14519736—21no—
346#14519736C2311yescharacteristic
347#14519735D411yescharacteristic
348#14519735C2311yescharacteristic
349#14519735C2311yescharacteristic
350#14519735C2311yescharacteristic
351#14519734—21no—
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733D411yescharacteristic
360#14519733D411yescharacteristic
361C2×C4⋊Dic61—21no—
362C2×C4⋊Dic61C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×C22⋊Dic61—21no—
367C2×C22⋊Dic61—21no—
368C2×C22⋊Dic61—21no—
369C2×C22⋊Dic61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61—21no—
436C22×D4×C61C2311yescharacteristic
437C22×D4×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C22×C8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454#120×C61—21no—
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61—21no—
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#102×C61C2311yescharacteristic
467#102×C61C2311yescharacteristic
468#102×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—
479C24×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—22no—
482C2×D4×C61—22no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—41no—
490C2×D4×C61—41no—
491C2×D4×C61—44no—
492C2×D4×C61C2×D411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2411yescharacteristic
499C22×C4×C61C2411yescharacteristic
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—82no—
517C22×Dic61—82no—
518C22×Dic61C2×D411yescharacteristic
519C22×Dic61C2×D411yescharacteristic
520C22×Dic61C2×D411yescharacteristic
521C22×Dic61C2×D411yescharacteristic
522#11758224—22no—
523#11758224—41no—
524#11758224—42no—
525#11758224—82no—
526C2×C4×D61C2×D411yescharacteristic
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2411yescharacteristic
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—44no—
536C2×Dic122C2×D411yescharacteristic
537C2×Dic122C2411yescharacteristic
538C2×Dic122C2411yescharacteristic
539SD16×C61—22no—
540SD16×C61—41no—
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×C61—21no—
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
566C22⋊C4×C61C2×D411yescharacteristic
567C42×C61—21no—
568C42×C61—21no—
569C42×C61C2411yescharacteristic
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
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⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758202—41no—
591#11758200—22no—
592#11758200—41no—
593#11758200—41no—
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⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×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
672Dic244—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—42no—
679C23×C61—42no—
680C23×C61—42no—
681C23×C61—42no—
682C23×C61—81no—
683C23×C61—81no—
684C23×C61C22×D411yescharacteristic
685C23×C61C22×D411yescharacteristic
686C22×D61C22×D411yescharacteristic
687Q8×C61—21no—
688Q8×C61—21no—
689D4×C61—22no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—42no—
696D4×C61—42no—
697D4×C61—42no—
698D4×C61—42no—
699D4×C61—42no—
700D4×C61—81no—
701D4×C612−1+412yes—
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—21no—
711C2×C4×C61—42no—
712C2×C4×C61—42no—
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—22no—
719C22⋊D61—41no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C2×Dic61—22no—
724C2×Dic61—22no—
725C2×Dic61—22no—
726C2×Dic61—21no—
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—42no—
736C2×Dic61—42no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61—81no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—22no—
756C4×D61—41no—
757Dic122—21no—
758Dic122—21no—
759Dic122—21no—
760Dic122—21no—
761Dic122—41no—
762Dic122—42no—
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—21no—
778C22×C61—21no—
779C22×C61—22no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—84no—
792C22×C61—84no—
793C22×C61#57512yes—
794C22×C61C23×D411yescharacteristic
795C2×D61—21no—
796C2×D61—21no—
797C2×D61—21no—
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×C61C2×2−1+411yescharacteristic
808C4×C61#58511yescharacteristic
809Dic61—21no—
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—41no—
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#3311—611no—
838#3310—611no—
839#3310D6111yescharacteristic, complemented
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—22no—
856C2×C61—41no—
857C2×C61—42no—
858C2×C61—81no—
859C2×C61—81no—
860C2×C61#348911yescharacteristic
861C2×C61C2×#57511yescharacteristic
862C2×C61C2×#57711yescharacteristic
863D61—41no—
864#559—611no—
865#557—611no—
866#557—611no—
867#557—1221no—
868#556—611no—
869#556—611no—
870#556—1221no—
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—1221no—
880#552—1221no—
881#552C2×D6111yescharacteristic
882#551—1221no—
883#551—1221no—
884#546—611no—
885#546—611no—
886#546—1221no—
887D42C2×D6111yescharacteristic
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#490C2×D6111yescharacteristic
917#489—611no—
918#489—611no—
919#488—611no—
920#488—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485—611no—
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
937#480—611no—
938#480C2×D6111yescharacteristic
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#478C2×D6111yescharacteristic
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#476—611no—
963#475—611no—
964#475—611no—
965#475—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#470—611no—
970#470—611no—
971#468—611no—
972#468C2×D6111yescharacteristic
973#467—611no—
974#467—611no—
975#465—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#465C2×D6111yescharacteristic
981#464—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#462—611no—
986#461—611no—
987#461—611no—
988#461—611no—
989#460—611no—
990#460C2×D6111yescharacteristic
991#452—611no—
992#452—611no—
993#450—611no—
994#450—611no—
995#450C2×D6111yescharacteristic
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
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#416—611no—
1033C2×#102—611no—
1034C2×#102C2×D6111yescharacteristic
1035C61#6212611yescharacteristic, complemented, Sylow
1036C2×#41—611no—
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×Q8—1221no—
1040C22×D4—21no—
1041C22×D4C22×D6111yescharacteristic
1042C22×D4C22×D6111yescharacteristic
1043C23×C4—1221no—
1044C23×C4—1221no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16C22×D6111yescharacteristic
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—611no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070#127C22×D6111yescharacteristic
1071#126—21no—
1072#126—1221no—
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—21no—
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#125C22×D6111yescharacteristic
1101#124—611no—
1102#124—611no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
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—611no—
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⋊Q8—1221no—
1137C22⋊Q8C22×D6111yescharacteristic
1138C22⋊Q8C22×D6111yescharacteristic
1139#121—21no—
1140#121—611no—
1141#121—611no—
1142#121—1221no—
1143#121—1221no—
1144#121—1221no—
1145#121—1221no—
1146#121—1221no—
1147#121C22×D6111yescharacteristic
1148#121C22×D6111yescharacteristic
1149#120—21no—
1150#120—21no—
1151#120—1221no—
1152#120—1221no—
1153C4×Q8—611no—
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—1221no—
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—21no—
1202#117—611no—
1203#117—611no—
1204#117—611no—
1205#117—611no—
1206#117—611no—
1207#117—611no—
1208#117—611no—
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#117—1221no—
1218#117C22×D6111yescharacteristic
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4—1221no—
1224C2×C4⋊C4C22×D6111yescharacteristic
1225C2×C22⋊C4—1221no—
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#107C22×D6111yescharacteristic
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#106—611no—
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#103—611no—
1278#103—611no—
1279#103—611no—
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#102C22×D6111yescharacteristic
1291#102C22×D6111yescharacteristic
1292#102C22×D6111yescharacteristic
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—21no—
1313#41—1222no—
1314#41—4882no—
1315#41—2442no—
1316#41—2441no—
1317C2×Q8—611no—
1318C2×Q8—611no—
1319C2×Q8—611no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—2444no—
1327C2×Q8C23×D6111yescharacteristic
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—44no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4D4×D6111yescharacteristic
1345C2×D4C23×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—2441no—
1373Q16—2441no—
1374SD16—22no—
1375SD16—41no—
1376SD16—41no—
1377SD16—1222no—
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—21no—
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—611no—
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—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4D4×D6111yescharacteristic
1484C22⋊C4D4×D6111yescharacteristic
1485C42—21no—
1486C42—21no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42C23×D6111yescharacteristic
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—42no—
1512C23—42no—
1513C23—42no—
1514C23—42no—
1515C23—81no—
1516C23—81no—
1517C23—611no—
1518C23C2×D4×D6111yescharacteristic
1519C23C2×D4×D6111yescharacteristic
1520Q8—21no—
1521Q8—21no—
1522Q8—1221no—
1523Q8—1221no—
1524Q8—1221no—
1525Q8—1221no—
1526Q8—4881no—
1527Q8—2441no—
1528Q8—2442no—
1529Q8—2442no—
1530Q8—2442no—
1531Q8—2442no—
1532Q8—2442no—
1533D4—22no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—21no—
1539D4—42no—
1540D4—42no—
1541D4—42no—
1542D4—42no—
1543D4—42no—
1544D4—81no—
1545D4—1222no—
1546D4—4881no—
1547D4—4881no—
1548D4—2441no—
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—42no—
1561C2×C4—42no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—1222no—
1570C2×C4—1222no—
1571C2×C4—1222no—
1572C2×C4—1222no—
1573C2×C4—1221no—
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—4881no—
1589C2×C4—2441no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2441no—
1594C2×C4—2442no—
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—21no—
1612C22—22no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—84no—
1624C22—84no—
1625C22—1221no—
1626C22—1221no—
1627C22—1221no—
1628C22#1684055812yes—
1629C22C22×D4×D6111yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—612no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4C2×#1451982411yescharacteristic
1655C4#1684059711yescharacteristic
1656C2—22no—
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—2441no—
1662C2#2145949011yescharacteristic
1663C2C2×#1684055811yescharacteristic
1664C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3310C2
socleC22×C61C23×D4
prime radical#21459420C2
hypercenter#3310D61
hypocenterC61#62126
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21459697C2semidirect
3. #21458769C2semidirect
4. #21458761C2semidirect
5. #21458582C2semidirect
6. #21458580C2semidirect
7. #21458359C2semidirect
8. #21458357C2semidirect
9. #21458276C2semidirect
10. #21458274C2semidirect
11. #21458204C2semidirect
12. #21458202C2semidirect
13. #21457856C2semidirect
14. #21457848C2semidirect
15. #21457840C2semidirect
16. #21457658C2semidirect
17. #21457650C2semidirect
18. #21457185C2semidirect
19. #21457149C2semidirect
20. #21457133C2semidirect
21. #21457038C2semidirect
22. #21457012C2semidirect
23. #21456995C2semidirect
24. #21455977C2semidirect
25. #21455913C2semidirect
26. #21455822C2semidirect
27. #21455613C2semidirect
28. #21455604C2semidirect
29. C2×#16840050C2semidirect
30. #21454939C2semidirect
31. C61×#3310C2semidirect
34. #16840489C22semidirect
35. #16840488C22semidirect
36. #16840483C22semidirect
37. #16840480C22semidirect
44. #16840454C22semidirect
47. #16840447C22semidirect
57. #16840318C22semidirect
58. #16840316C22semidirect
59. #16840315C22semidirect
60. #16840314C22semidirect
61. #16840314C22semidirect
63. C2×#14519776C22semidirect
75. #16840172C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840170C22semidirect
79. #16840163C22semidirect
80. #16840162C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
84. #16840115C22semidirect
85. #16840115C22semidirect
86. #16840105C22semidirect
87. #16840104C22semidirect
88. #16840103C22semidirect
89. #16840101C22semidirect
90. #16840098C22semidirect
91. #16840095C22semidirect
92. #16840093C22semidirect
93. #16840093C22semidirect
94. #16840092C22semidirect
95. #16840090C22semidirect
96. #16840085C22semidirect
97. #16840085C22semidirect
98. #16840084C22semidirect
99. #16840084C22semidirect
102. #16840072C22semidirect
103. #16840071C22semidirect
104. #16840070C22semidirect
105. #16840068C22semidirect
106. #16840067C22semidirect
107. #16840066C22semidirect
109. #16840064C22semidirect
112. #16840060C22semidirect
113. #16840056C22semidirect
114. #16840056C22semidirect
119. #16840050C22semidirect
120. #16840050C22semidirect
121. #16840050C22semidirect
122. #16840050C22semidirect
123. #16840050C22semidirect
124. #16840050C22semidirect
125. #16840048C22semidirect
126. #16840047C22semidirect
127. #16840046C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
131. #16840020C22semidirect
132. #16840018C22semidirect
134. #16840003C22semidirect
135. #16840001C22semidirect
136. #16839990C22semidirect
137. #16839990C22semidirect
139. #16839988C22semidirect
140. #16839988C22semidirect
141. #16839983C22semidirect
142. #16839983C22semidirect
143. #16839982C22semidirect
144. #16839982C22semidirect
145. #16839971C22semidirect
147. #16839965C22semidirect
148. #16839965C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839870C22semidirect
157. #16839867C22semidirect
159. #16839863C22semidirect
162. #16839859C22semidirect
164. #16839853C22semidirect
166. SD16×Dic61C22semidirect
167. #16839836C22semidirect
169. #16839831C22semidirect
170. C8×C22⋊D61C22semidirect
171. #16839825C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839799C22semidirect
178. #16839797C22semidirect
179. C2×#14519709C22semidirect
180. C2×#14519708C22semidirect
181. #16839785C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
839. #3310D61semidirect
1035. C61#62126semidirect

Maximal subgroups

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

subgroupindex
#214596972
#214594202
#214587692
#214587612
#214585822
#214585802
#214583592
#214583572
#214582762
#214582742
#214582042
#214582022
#214578562
#214578482
#214578402
#214576582
#214576502
#214571852
#214571492
#214571332
#214570382
#214570122
#214569952
#214559772
#214559132
#214558222
#214556132
#214556042
C2×#168400502
#214549392
C61×#33102
#6212661