Finite Group Databasebeta

← #30577213

Subgroups — #30577213

Order 15616.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460465C211yesmaximal, characteristic, complemented
2#21459744C211yesmaximal, characteristic, complemented
3#21458778C211yesmaximal, characteristic, complemented
4#21458689C211yesmaximal, characteristic, complemented
5#21458582C211yesmaximal, characteristic, complemented
6#21458483C211yesmaximal, characteristic, complemented
7#21458409C211yesmaximal, characteristic, complemented
8#21458383C211yesmaximal, characteristic, complemented
9#21458373C211yesmaximal, characteristic, complemented
10#21458351C211yesmaximal, characteristic, complemented
11#21458252C211yesmaximal, characteristic, complemented
12#21458216C211yesmaximal, characteristic, complemented
13#21458050C211yesmaximal, characteristic, complemented
14#21458031C211yesmaximal, characteristic, complemented
15#21458024C211yesmaximal, characteristic, complemented
16#21457968C211yesmaximal, characteristic, complemented
17#21457650C211yesmaximal, characteristic, complemented
18#21457274C211yesmaximal, characteristic, complemented
19#21457226C211yesmaximal, characteristic, complemented
20#21457214C211yesmaximal, characteristic, complemented
21#21457113C211yesmaximal, characteristic, complemented
22#21457067C211yesmaximal, characteristic, complemented
23#21456995C211yesmaximal, characteristic, complemented
24#21456100C211yesmaximal, characteristic, complemented
25#21455996C211yesmaximal, characteristic, complemented
26#21455861C211yesmaximal, characteristic, complemented
27#21455671C211yesmaximal, characteristic, complemented
28#21455646C211yesmaximal, characteristic, complemented
29#21455613C211yesmaximal, characteristic, complemented
30#21454961C211yesmaximal, characteristic, complemented
31C61×#3318C211yesmaximal, characteristic, complemented
32#16840515—21no—
33#16840507—21no—
34#16840498C2211yescharacteristic
35#16840489C2211yescharacteristic, complemented
36#16840482C2211yescharacteristic
37#16840479—21no—
38#16840476C2211yescharacteristic, complemented
39#16840471C2211yescharacteristic
40#16840469C2211yescharacteristic, complemented
41#16840459C2211yescharacteristic
42#16840459C2211yescharacteristic, complemented
43#16840455—21no—
44#16840452—21no—
45#16840452C2211yescharacteristic
46#16840451C2211yescharacteristic, complemented
47#16840447C2211yescharacteristic, complemented
48#16840443—21no—
49#16840443—21no—
50#16840412C2211yescharacteristic
51#16840406—21no—
52#16840406C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840393C2211yescharacteristic, complemented
55#16840392C2211yescharacteristic, complemented
56#16840379—21no—
57#16840379C2211yescharacteristic
58#16840379C2211yescharacteristic, complemented
59#16840377—21no—
60#16840377C2211yescharacteristic, complemented
61#16840369—21no—
62#16840366C2211yescharacteristic
63#16840357—21no—
64#16840356—21no—
65#16840347—21no—
66#16840315C2211yescharacteristic, complemented
67#16840293C2211yescharacteristic
68#16840293C2211yescharacteristic, complemented
69#16840292C2211yescharacteristic
70#16840268—21no—
71C2×#14519758—21no—
72#16840241C2211yescharacteristic
73#16840237C2211yescharacteristic
74C2×D4×Dic61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840163C2211yescharacteristic, complemented
78#16840162C2211yescharacteristic, complemented
79#16840161C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840120C2211yescharacteristic, complemented
82#16840115C2211yescharacteristic, complemented
83#16840115C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840108C2211yescharacteristic
86#16840104C2211yescharacteristic, complemented
87#16840104C2211yescharacteristic, complemented
88#16840104C2211yescharacteristic, complemented
89#16840103C2211yescharacteristic, complemented
90#16840098C2211yescharacteristic, complemented
91#16840094C2211yescharacteristic, complemented
92#16840092C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic
96#16840083C2211yescharacteristic
97#16840083C2211yescharacteristic, complemented
98#16840079C2211yescharacteristic, complemented
99#16840079C2211yescharacteristic, complemented
100#16840078C2211yescharacteristic, complemented
101#16840074C2211yescharacteristic, complemented
102#16840072C2211yescharacteristic, complemented
103#16840072C2211yescharacteristic, complemented
104#16840070C2211yescharacteristic, complemented
105#16840066C2211yescharacteristic, complemented
106#16840064C2211yescharacteristic
107#16840064C2211yescharacteristic
108#16840064C2211yescharacteristic, complemented
109#16840064C2211yescharacteristic, complemented
110#16840064C2211yescharacteristic, complemented
111#16840062C2211yescharacteristic, complemented
112#16840060C2211yescharacteristic
113#16840060C2211yescharacteristic
114#16840060C2211yescharacteristic, complemented
115#16840060C2211yescharacteristic, complemented
116#16840060C2211yescharacteristic, complemented
117#16840058C2211yescharacteristic, complemented
118#16840056C2211yescharacteristic, complemented
119#16840056C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic
121#16840050C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic, complemented
123#16840050C2211yescharacteristic, complemented
124#16840046C2211yescharacteristic, complemented
125#16840042C2211yescharacteristic
126#16840040C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840040C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic, complemented
130#16840040C2211yescharacteristic, complemented
131#16840020C2211yescharacteristic, complemented
132#16840012C2211yescharacteristic, complemented
133#16840007C2211yescharacteristic, complemented
134#16840006C2211yescharacteristic
135#16840006C2211yescharacteristic
136#16840006C2211yescharacteristic, complemented
137#16840006C2211yescharacteristic, complemented
138#16840003C2211yescharacteristic, complemented
139#16839995C2211yescharacteristic, complemented
140#16839990C2211yescharacteristic, complemented
141#16839983C2211yescharacteristic, complemented
142#16839983C2211yescharacteristic, complemented
143#16839983C2211yescharacteristic, complemented
144#16839975C2211yescharacteristic
145#16839975C2211yescharacteristic, complemented
146#16839975C2211yescharacteristic, complemented
147#16839975C2211yescharacteristic, complemented
148#16839975C2211yescharacteristic, complemented
149#16839959C2211yescharacteristic
150#16839925C2211yescharacteristic
151#16839913C2211yescharacteristic
152#16839913C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839890C2211yescharacteristic, complemented
155#16839886C2211yescharacteristic, complemented
156#16839874C2211yescharacteristic
157#16839870C2211yescharacteristic, complemented
158#16839859C2211yescharacteristic, complemented
159#16839853C2211yescharacteristic
160#16839853C2211yescharacteristic
161#16839853C2211yescharacteristic, complemented
162C4×#11758200C2211yescharacteristic
163C4×#11758200C2211yescharacteristic, complemented
164D8×Dic61C2211yescharacteristic
165D8×Dic61C2211yescharacteristic, complemented
166D8×Dic61C2211yescharacteristic, complemented
167#16839840C2211yescharacteristic
168#16839838C2211yescharacteristic, complemented
169#16839837C2211yescharacteristic, complemented
170#16839836C2211yescharacteristic, complemented
171C8×C22⋊D61C2211yescharacteristic, complemented
172#16839824C2211yescharacteristic, complemented
173#16839820C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176#16839804C2211yescharacteristic, complemented
177#16839802C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic, complemented
179#16839800C2211yescharacteristic, complemented
180#107×D61C2211yescharacteristic, complemented
181#16839788C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839785C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic
185#16839767C2211yescharacteristic
186#16839760C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#553C2211yescharacteristic
189D42×C61C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#481C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#459C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#447C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C2×#102×C61C2211yescharacteristic
203C2×#11758224—21no—
204C2×#11758224C2311yescharacteristic
205C23×Dic61—21no—
206C2×Dic244C2311yescharacteristic
207C2×#11758200C2311yescharacteristic
208C2×#11758200C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758194C2311yescharacteristic
212C2×#11758194C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×C8×D61C2311yescharacteristic
215#14519777C2311yescharacteristic
216#14519776—21no—
217#14519776—21no—
218#14519776—21no—
219#14519776C2311yescharacteristic
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519772—21no—
224#14519772D411yescharacteristic
225#14519770—21no—
226#14519770—21no—
227#14519770—21no—
228#14519770—21no—
229#14519770—21no—
230#14519770—21no—
231#14519770—21no—
232#14519770—21no—
233#14519770—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770D411yescharacteristic
237#14519769—21no—
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519768C2311yescharacteristic
241#14519768C2311yescharacteristic
242#14519768C2311yescharacteristic
243#14519768C2311yescharacteristic
244#14519768C2311yescharacteristic
245#14519767—21no—
246#14519767—21no—
247#14519767—21no—
248#14519767—21no—
249#14519767—21no—
250#14519767D411yescharacteristic
251#14519764—21no—
252#14519764—21no—
253#14519764—21no—
254#14519764—21no—
255#14519764—21no—
256#14519764C2311yescharacteristic
257#14519764C2311yescharacteristic
258#14519764C2311yescharacteristic
259#14519763—21no—
260#14519763—21no—
261#14519763D411yescharacteristic
262#14519761D411yescharacteristic
263#14519760—21no—
264#14519760—21no—
265#14519759—21no—
266#14519759—21no—
267#14519758—21no—
268#14519758—21no—
269#14519758—21no—
270#14519758—21no—
271#14519758—21no—
272#14519758—21no—
273#14519758—21no—
274#14519758—21no—
275#14519758—21no—
276#14519758—21no—
277#14519758—21no—
278#14519758—21no—
279#14519758—21no—
280#14519758—21no—
281#14519758D411yescharacteristic
282#14519757—21no—
283#14519757C2311yescharacteristic
284#14519756—21no—
285#14519756—21no—
286#14519756—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519756C2311yescharacteristic
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754D411yescharacteristic
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749D411yescharacteristic
310#14519748—21no—
311#14519748—21no—
312#14519748C2311yescharacteristic
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315#14519746—21no—
316#14519746—21no—
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322#14519742—21no—
323#14519742—21no—
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327D4×Dic61—21no—
328D4×Dic61—21no—
329D4×Dic61—21no—
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343C4×C22⋊D61—21no—
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519736—21no—
350#14519736C2311yescharacteristic
351#14519736C2311yescharacteristic
352#14519736C2311yescharacteristic
353#14519736C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519734—21no—
356#14519734C2311yescharacteristic
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362C2×C4⋊Dic61—21no—
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×C22⋊Dic61—21no—
369C2×C22⋊Dic61—21no—
370C2×C22⋊Dic61—21no—
371C2×C22⋊Dic61—21no—
372C2×C22⋊Dic61—21no—
373C2×C4×Dic61C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
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#14519687C2311yescharacteristic
431C4×#92418C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61—21no—
436C22×D4×C61C2311yescharacteristic
437C22×D4×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×M16×C61C2311yescharacteristic
442C22×C8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453#120×C61—21no—
454#120×C61—21no—
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#102×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×D4×C61—22no—
481C2×D4×C61—22no—
482C2×D4×C61—21no—
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—21no—
490C2×D4×C61—41no—
491C2×D4×C61—41no—
492C2×D4×C61—82no—
493C2×D4×C61C2×D411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61C2×D411yescharacteristic
508C2×C22⋊D61C2×D411yescharacteristic
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—82no—
521C22×Dic61C2×D411yescharacteristic
522C22×Dic61C2×D411yescharacteristic
523#11758224—22no—
524#11758224—41no—
525#11758224—82no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61C2411yescharacteristic
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122C2×D411yescharacteristic
535C2×Dic122C2411yescharacteristic
536C2×Dic122C2411yescharacteristic
537D8×C61—22no—
538D8×C61—41no—
539D8×C61—41no—
540M16×C61—41no—
541C2×C8×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61C2×D411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C22⋊C4×C61—21no—
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×C61C2411yescharacteristic
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
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⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593C22⋊Dic61C2×D411yescharacteristic
594#11758200—22no—
595#11758200—41no—
596#11758200—41no—
597#11758200—41no—
598#11758198—21no—
599#11758198—21no—
600#11758198C2×D411yescharacteristic
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603#11758198C2×D411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
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×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664#11758194—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669Dic244—41no—
670#11758189—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—42no—
677C23×C61—42no—
678C23×C61—42no—
679C23×C61—81no—
680C23×C61—81no—
681C23×C61—81no—
682C23×C61C22×D411yescharacteristic
683C23×C61C22×D411yescharacteristic
684C22×D61C22×D411yescharacteristic
685D4×C61—21no—
686D4×C61—21no—
687D4×C61—21no—
688D4×C61—21no—
689D4×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—41no—
693D4×C61—42no—
694D4×C61—42no—
695D4×C61—42no—
696D4×C61—81no—
697D4×C61—81no—
698D4×C61—81no—
699D4×C61—81no—
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—81no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—41no—
719C22⋊D61—41no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61—81no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—41no—
733C2×Dic61—41no—
734C2×Dic61—42no—
735C2×Dic61—42no—
736C2×Dic61—81no—
737C2×Dic61—81no—
738C2×Dic61—81no—
739C2×Dic61—81no—
740C2×Dic61—81no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61—81no—
744C2×Dic61—81no—
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—81no—
755C4×D61—81no—
756Dic122—21no—
757Dic122—21no—
758Dic122—21no—
759Dic122—21no—
760Dic122—41no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62175—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—22no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—41no—
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—41no—
792C22×C61—41no—
793C22×C61—84no—
794C22×C61—162no—
795C22×C61C23×D411yescharacteristic
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
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—21no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61—41no—
824#3565—611no—
825#3513—611no—
826#3389—611no—
827#3381—611no—
828#3371—611no—
829#3361—611no—
830#3354—611no—
831#3351—611no—
832#3351—611no—
833#3349—611no—
834#3343—611no—
835#3339—611no—
836#3324—611no—
837#3323—611no—
838#3322—611no—
839#3319—611no—
840#3318D6111yescharacteristic, complemented
841#3296—611no—
842#3262—611no—
843#3257—611no—
844#3256—611no—
845#3244—611no—
846#3241—611no—
847#3233—611no—
848#3125—611no—
849#3118—611no—
850#3105—611no—
851#3083—611no—
852#3081—611no—
853#3077—611no—
854#2993—611no—
855C2×C61—41no—
856C2×C61—41no—
857C2×C61—42no—
858C2×C61—81no—
859C2×C61—81no—
860C2×C61—81no—
861C2×C61#348911yescharacteristic
862C2×C61#358411yescharacteristic
863C2×C61#358511yescharacteristic
864D61—41no—
865#563—1221no—
866#562—1221no—
867#559—611no—
868#557—611no—
869#556—611no—
870#556—1221no—
871#555—611no—
872#554—611no—
873#554—611no—
874#553—611no—
875#553—611no—
876#553—1221no—
877#553C2×D6111yescharacteristic
878#552—611no—
879#552—611no—
880#552—611no—
881#552—1221no—
882#551—1221no—
883#551—1221no—
884#547—611no—
885#546—611no—
886#546—611no—
887#546—1221no—
888D42C2×D6111yescharacteristic
889#544—611no—
890#544—611no—
891#542—611no—
892#542—611no—
893#542—611no—
894#542—1221no—
895#542—1221no—
896#541—1221no—
897#540—611no—
898#539—1221no—
899#539—1221no—
900#538—1221no—
901#533—611no—
902#529—611no—
903#529—611no—
904#529—611no—
905#525—1221no—
906C2×#123—1221no—
907#520—611no—
908#518—611no—
909C2×C4×D4—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#499—611no—
915#498—611no—
916#490C2×D6111yescharacteristic
917#489—611no—
918#488—611no—
919#488—611no—
920#488—611no—
921#486—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485—611no—
926#484—611no—
927#483—611no—
928#483—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#482—611no—
933#482—611no—
934#482C2×D6111yescharacteristic
935#481—611no—
936#481—611no—
937#481—611no—
938#481C2×D6111yescharacteristic
939#480—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#478—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#478—611no—
955#478C2×D6111yescharacteristic
956#477—611no—
957#477—611no—
958#477—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#476—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#470—611no—
971#469—611no—
972#469C2×D6111yescharacteristic
973#468—611no—
974#468—611no—
975#468—611no—
976#468—611no—
977#468—611no—
978#467—611no—
979#466—611no—
980#466C2×D6111yescharacteristic
981#465—611no—
982#464—611no—
983#464—611no—
984#464—611no—
985#463—611no—
986#463—611no—
987#463—611no—
988#463—611no—
989#463—611no—
990#460—611no—
991#459C2×D6111yescharacteristic
992#452—611no—
993#450—611no—
994#450—611no—
995#449—611no—
996#447C2×D6111yescharacteristic
997#447C2×D6111yescharacteristic
998#446—611no—
999C8×Q8—611no—
1000#442—611no—
1001#442C2×D6111yescharacteristic
1002#441—611no—
1003#440—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010C4×D8—611no—
1011C4×D8—611no—
1012#436—611no—
1013#436—611no—
1014#436—611no—
1015#435—611no—
1016#435C2×D6111yescharacteristic
1017C8×D4—611no—
1018#433—611no—
1019#433—611no—
1020#431—611no—
1021#428—611no—
1022#428—611no—
1023#428—611no—
1024#428—611no—
1025#427—611no—
1026C2×#107—611no—
1027#424—611no—
1028#424—611no—
1029#423—611no—
1030#418—611no—
1031#418—611no—
1032#418C2×D6111yescharacteristic
1033#417—611no—
1034#416—611no—
1035C2×#102C2×D6111yescharacteristic
1036C61#6217511yescharacteristic, complemented, Sylow
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×D4—21no—
1040C22×D4C22×D6111yescharacteristic
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—1221no—
1043C2×Q16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×SD16—611no—
1047C2×SD16—611no—
1048C2×D8C22×D6111yescharacteristic
1049C2×D8C22×D6111yescharacteristic
1050C2×D8C22×D6111yescharacteristic
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16—611no—
1054C2×M16C22×D6111yescharacteristic
1055C22×C8—611no—
1056C22×C8C22×D6111yescharacteristic
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065#127C22×D6111yescharacteristic
1066#126—21no—
1067#126—611no—
1068#126—611no—
1069#126—1221no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#125—611no—
1082#125—611no—
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125C22×D6111yescharacteristic
1096#124—611no—
1097#124—611no—
1098#124—611no—
1099#124—611no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#123—21no—
1108#123—611no—
1109#123—611no—
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—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150#121—21no—
1151#121—21no—
1152#121—611no—
1153#121—611no—
1154#121—611no—
1155#121—611no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121C22×D6111yescharacteristic
1164#121C22×D6111yescharacteristic
1165#121C22×D6111yescharacteristic
1166#121C22×D6111yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—1221no—
1170#120—1221no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—611no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×D4—21no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207#117—611no—
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117C22×D6111yescharacteristic
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4—1221no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C42—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#107—611no—
1243#107—611no—
1244#107—611no—
1245#107C22×D6111yescharacteristic
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
1257#106C22×D6111yescharacteristic
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⋊C8—611no—
1267C4⋊C8C22×D6111yescharacteristic
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#102—611no—
1279#102—611no—
1280#102—611no—
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
1299#102C22×D6111yescharacteristic
1300C22⋊C8—611no—
1301C22⋊C8—611no—
1302C22⋊C8—611no—
1303C22⋊C8—611no—
1304C22⋊C8C22×D6111yescharacteristic
1305C22⋊C8C22×D6111yescharacteristic
1306#97—611no—
1307#97C22×D6111yescharacteristic
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8—611no—
1312C24—21no—
1313C24—21no—
1314#41—1222no—
1315#41—4882no—
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×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—82no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4D4×D6111yescharacteristic
1345C2×D4C23×D6111yescharacteristic
1346C2×D4C23×D6111yescharacteristic
1347C2×D4C23×D6111yescharacteristic
1348C2×D4C23×D6111yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—1221no—
1356C22×C4—1221no—
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×C4C23×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371Q16—2441no—
1372SD16—1222no—
1373SD16—2441no—
1374SD16—2441no—
1375SD16—2441no—
1376D8—22no—
1377D8—41no—
1378D8—41no—
1379M16—41no—
1380M16—2441no—
1381M16—2441no—
1382M16—2441no—
1383C2×C8—41no—
1384C2×C8—611no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—2441no—
1389C2×C8C23×D6111yescharacteristic
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
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—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⋊C4D4×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—611no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—611no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
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⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4D4×D6111yescharacteristic
1489C22⋊C4D4×D6111yescharacteristic
1490C42—21no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42C23×D6111yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—42no—
1513C23—81no—
1514C23—81no—
1515C23—81no—
1516C23—611no—
1517C23C2×D4×D6111yescharacteristic
1518C23C2×D4×D6111yescharacteristic
1519Q8—1221no—
1520Q8—1221no—
1521Q8—1221no—
1522Q8—1221no—
1523Q8—4881no—
1524Q8—4881no—
1525Q8—4881no—
1526Q8—4881no—
1527Q8—4881no—
1528Q8—2441no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—41no—
1537D4—42no—
1538D4—42no—
1539D4—42no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—4881no—
1546D4—4881no—
1547D4—4881no—
1548D4—2441no—
1549D4—2441no—
1550D4—2442no—
1551D4#1451982412yes—
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—81no—
1561C2×C4—81no—
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—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—4881no—
1590C2×C4—4881no—
1591C2×C4—2441no—
1592C2×C4—2441no—
1593C2×C4—2442no—
1594C2×C4—2442no—
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C24×D6111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1221no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—84no—
1627C22—162no—
1628C22—1221no—
1629C22—1221no—
1630C22—1221no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1221no—
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—
1654C4—2441no—
1655C4C2×#1451982411yescharacteristic
1656C4#1684059711yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—81no—
1663C2—2441no—
1664C2#2145949011yescharacteristic
1665C2#2146058711yescharacteristic
1666C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3318C2
socleC22×C61C23×D4
hypercenter#3318D61
hypocenterC61#62175
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21460465C2semidirect
2. #21459744C2semidirect
3. #21458778C2semidirect
4. #21458689C2semidirect
5. #21458582C2semidirect
6. #21458483C2semidirect
7. #21458409C2semidirect
8. #21458383C2semidirect
9. #21458373C2semidirect
10. #21458351C2semidirect
11. #21458252C2semidirect
12. #21458216C2semidirect
13. #21458050C2semidirect
14. #21458031C2semidirect
15. #21458024C2semidirect
16. #21457968C2semidirect
17. #21457650C2semidirect
18. #21457274C2semidirect
19. #21457226C2semidirect
20. #21457214C2semidirect
21. #21457113C2semidirect
22. #21457067C2semidirect
23. #21456995C2semidirect
24. #21456100C2semidirect
25. #21455996C2semidirect
26. #21455861C2semidirect
27. #21455671C2semidirect
28. #21455646C2semidirect
29. #21455613C2semidirect
30. #21454961C2semidirect
31. C61×#3318C2semidirect
35. #16840489C22semidirect
38. #16840476C22semidirect
40. #16840469C22semidirect
42. #16840459C22semidirect
46. #16840451C22semidirect
47. #16840447C22semidirect
54. #16840393C22semidirect
55. #16840392C22semidirect
58. #16840379C22semidirect
60. #16840377C22semidirect
66. #16840315C22semidirect
68. #16840293C22semidirect
75. #16840171C22semidirect
76. #16840169C22semidirect
77. #16840163C22semidirect
78. #16840162C22semidirect
79. #16840161C22semidirect
80. #16840159C22semidirect
81. #16840120C22semidirect
82. #16840115C22semidirect
83. #16840115C22semidirect
84. #16840115C22semidirect
86. #16840104C22semidirect
87. #16840104C22semidirect
88. #16840104C22semidirect
89. #16840103C22semidirect
90. #16840098C22semidirect
91. #16840094C22semidirect
92. #16840092C22semidirect
93. #16840085C22semidirect
94. #16840084C22semidirect
97. #16840083C22semidirect
98. #16840079C22semidirect
99. #16840079C22semidirect
100. #16840078C22semidirect
101. #16840074C22semidirect
102. #16840072C22semidirect
103. #16840072C22semidirect
104. #16840070C22semidirect
105. #16840066C22semidirect
108. #16840064C22semidirect
109. #16840064C22semidirect
110. #16840064C22semidirect
111. #16840062C22semidirect
114. #16840060C22semidirect
115. #16840060C22semidirect
116. #16840060C22semidirect
117. #16840058C22semidirect
118. #16840056C22semidirect
119. #16840056C22semidirect
121. #16840050C22semidirect
122. #16840050C22semidirect
123. #16840050C22semidirect
124. #16840046C22semidirect
128. #16840040C22semidirect
129. #16840040C22semidirect
130. #16840040C22semidirect
131. #16840020C22semidirect
132. #16840012C22semidirect
133. #16840007C22semidirect
136. #16840006C22semidirect
137. #16840006C22semidirect
138. #16840003C22semidirect
139. #16839995C22semidirect
140. #16839990C22semidirect
141. #16839983C22semidirect
142. #16839983C22semidirect
143. #16839983C22semidirect
145. #16839975C22semidirect
146. #16839975C22semidirect
147. #16839975C22semidirect
148. #16839975C22semidirect
154. #16839890C22semidirect
155. #16839886C22semidirect
157. #16839870C22semidirect
158. #16839859C22semidirect
161. #16839853C22semidirect
163. C4×#11758200C22semidirect
165. D8×Dic61C22semidirect
166. D8×Dic61C22semidirect
168. #16839838C22semidirect
169. #16839837C22semidirect
170. #16839836C22semidirect
171. C8×C22⋊D61C22semidirect
172. #16839824C22semidirect
173. #16839820C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. #16839804C22semidirect
177. #16839802C22semidirect
178. #16839801C22semidirect
179. #16839800C22semidirect
180. #107×D61C22semidirect
181. #16839788C22semidirect
182. #16839787C22semidirect
183. #16839785C22semidirect
840. #3318D61semidirect
1036. C61#62175semidirect

Maximal subgroups

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

subgroupindex
#214604652
#214597442
#214587782
#214586892
#214585822
#214584832
#214584092
#214583832
#214583732
#214583512
#214582522
#214582162
#214580502
#214580312
#214580242
#214579682
#214576502
#214572742
#214572262
#214572142
#214571132
#214570672
#214569952
#214561002
#214559962
#214558612
#214556712
#214556462
#214556132
#214549612
C61×#33182
#6217561