Finite Group Databasebeta

← #30558885

Subgroups — #30558885

Order 15616.

1828 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#21459378C211yesmaximal, characteristic
2#556×D61C211yesmaximal, characteristic, complemented
3#21458430C211yesmaximal, characteristic, complemented
4#21458427C211yesmaximal, characteristic, complemented
5#21458401C211yesmaximal, characteristic, complemented
6#21458398C211yesmaximal, characteristic, complemented
7#21458371C211yesmaximal, characteristic, complemented
8#21458369C211yesmaximal, characteristic, complemented
9#21458358C211yesmaximal, characteristic, complemented
10#21458356C211yesmaximal, characteristic, complemented
11#21458351C211yesmaximal, characteristic, complemented
12#21458348C211yesmaximal, characteristic, complemented
13#21458343C211yesmaximal, characteristic, complemented
14#21458247C211yesmaximal, characteristic, complemented
15#21458244C211yesmaximal, characteristic, complemented
16#21458230C211yesmaximal, characteristic, complemented
17#21458227C211yesmaximal, characteristic, complemented
18#21456364C211yesmaximal, characteristic, complemented
19#21455766C211yesmaximal, characteristic, complemented
20#21455762C211yesmaximal, characteristic, complemented
21#21455747C211yesmaximal, characteristic, complemented
22#21455747C211yesmaximal, characteristic, complemented
23#21455631C211yesmaximal, characteristic, complemented
24#21455622C211yesmaximal, characteristic, complemented
25#21455444C211yesmaximal, characteristic, complemented
26#21455442C211yesmaximal, characteristic, complemented
27#21454641C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29#21454407C211yesmaximal, characteristic, complemented
30#21454406C211yesmaximal, characteristic, complemented
31C61×#3350C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C22×#11758189C2211yescharacteristic
34C2×M16×D61C2211yescharacteristic
35#16840486C2211yescharacteristic
36#16840485C2211yescharacteristic
37#16840484—21no—
38#16840483C2211yescharacteristic
39#16840483C2211yescharacteristic
40#16840482C2211yescharacteristic
41#16840481—21no—
42#16840480C2211yescharacteristic
43#16840480C2211yescharacteristic
44#16840480C2211yescharacteristic
45#16840479—21no—
46#16840479—21no—
47#16840476C2211yescharacteristic
48#16840467C2211yescharacteristic
49#16840462C2211yescharacteristic
50#16840452C2211yescharacteristic
51#16840450C2211yescharacteristic
52#16840448—21no—
53#16840441—21no—
54#16840440—21no—
55#16840412C2211yescharacteristic
56#16840401—21no—
57#16840318C2211yescharacteristic
58C4⋊Q8×D61C2211yescharacteristic
59#16840295—21no—
60#16840293—21no—
61#16840289—21no—
62#126×D61—21no—
63#126×D61—21no—
64#124×D61—21no—
65#16840272C2211yescharacteristic
66#16840272C2211yescharacteristic
67C22⋊Q8×D61C2211yescharacteristic
68C22⋊Q8×D61C2211yescharacteristic
69C4×#11758224—21no—
70C4×#11758224C2211yescharacteristic
71C4×Q8×D61—21no—
72C4×Q8×D61C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74C2×#14519735C2211yescharacteristic
75#117×D61C2211yescharacteristic
76#117×D61C2211yescharacteristic
77#117×D61C2211yescharacteristic
78#16840172C2211yescharacteristic, complemented
79#16840171C2211yescharacteristic, complemented
80#16840168C2211yescharacteristic, complemented
81#16840166C2211yescharacteristic, complemented
82#16840166C2211yescharacteristic, complemented
83#16840159C2211yescharacteristic, complemented
84#16840159C2211yescharacteristic, complemented
85#16840106C2211yescharacteristic, complemented
86#16840106C2211yescharacteristic, complemented
87#16840106C2211yescharacteristic, complemented
88#16840106C2211yescharacteristic, complemented
89#16840105C2211yescharacteristic, complemented
90#16840105C2211yescharacteristic, complemented
91#16840104C2211yescharacteristic, complemented
92#16840104C2211yescharacteristic, complemented
93#16840104C2211yescharacteristic, complemented
94#16840103C2211yescharacteristic, complemented
95#16840103C2211yescharacteristic, complemented
96#16840103C2211yescharacteristic, complemented
97#16840102C2211yescharacteristic, complemented
98#16840102C2211yescharacteristic, complemented
99#16840100C2211yescharacteristic, complemented
100#16840099C2211yescharacteristic, complemented
101#16840098C2211yescharacteristic, complemented
102#16840096C2211yescharacteristic, complemented
103#16840095C2211yescharacteristic, complemented
104#16840094C2211yescharacteristic, complemented
105#16840092C2211yescharacteristic, complemented
106#16840091C2211yescharacteristic, complemented
107#16840085C2211yescharacteristic, complemented
108#16840085C2211yescharacteristic, complemented
109#16840084C2211yescharacteristic, complemented
110#16840084C2211yescharacteristic, complemented
111#16840083C2211yescharacteristic, complemented
112#16840083C2211yescharacteristic, complemented
113#16840070C2211yescharacteristic, complemented
114#16840069C2211yescharacteristic, complemented
115#16840066C2211yescharacteristic, complemented
116#16840058C2211yescharacteristic, complemented
117#16840056C2211yescharacteristic, complemented
118#16840055C2211yescharacteristic, complemented
119#16840054C2211yescharacteristic, complemented
120#16840052C2211yescharacteristic, complemented
121#16840046C2211yescharacteristic, complemented
122#16840046C2211yescharacteristic, complemented
123#16840046C2211yescharacteristic, complemented
124#16840045C2211yescharacteristic, complemented
125#16840040C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840021C2211yescharacteristic, complemented
128#16840020C2211yescharacteristic, complemented
129#16840019C2211yescharacteristic, complemented
130#16840018C2211yescharacteristic, complemented
131#16840007C2211yescharacteristic, complemented
132#16840006C2211yescharacteristic, complemented
133#16840005C2211yescharacteristic, complemented
134#16840004C2211yescharacteristic, complemented
135#16840003C2211yescharacteristic, complemented
136#16840002C2211yescharacteristic, complemented
137#16840001C2211yescharacteristic, complemented
138#16839990C2211yescharacteristic, complemented
139#16839989C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839870C2211yescharacteristic, complemented
142#16839867C2211yescharacteristic, complemented
143#16839862C2211yescharacteristic, complemented
144#16839856C2211yescharacteristic, complemented
145#16839854C2211yescharacteristic, complemented
146#16839853C2211yescharacteristic, complemented
147SD16×Dic61C2211yescharacteristic, complemented
148#16839838C2211yescharacteristic
149#16839837C2211yescharacteristic
150#16839835C2211yescharacteristic
151#16839834C2211yescharacteristic
152#16839832C2211yescharacteristic
153C8×C22⋊D61C2211yescharacteristic
154#16839825C2211yescharacteristic
155#16839805C2211yescharacteristic, complemented
156#16839804C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic
158#16839803C2211yescharacteristic
159#16839803C2211yescharacteristic
160#16839803C2211yescharacteristic
161#16839803C2211yescharacteristic, complemented
162#16839803C2211yescharacteristic, complemented
163#16839802C2211yescharacteristic, complemented
164#16839801C2211yescharacteristic
165#16839801C2211yescharacteristic
166#16839801C2211yescharacteristic
167#16839801C2211yescharacteristic
168#16839801C2211yescharacteristic
169#16839801C2211yescharacteristic, complemented
170#16839801C2211yescharacteristic, complemented
171#16839800C2211yescharacteristic, complemented
172#16839799C2211yescharacteristic, complemented
173#16839799C2211yescharacteristic, complemented
174#16839798C2211yescharacteristic, complemented
175#16839798C2211yescharacteristic, complemented
176#16839797C2211yescharacteristic, complemented
177#16839797C2211yescharacteristic, complemented
178#16839784C2211yescharacteristic
179#16839769C2211yescharacteristic
180#16839769C2211yescharacteristic
181#16839769C2211yescharacteristic
182#16839760C2211yescharacteristic
183#16839760C2211yescharacteristic
184#16839760C2211yescharacteristic
185#16839724C2211yescharacteristic
186#16839724C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#483C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#482C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#476C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#465C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic, complemented
202C61×#427C2211yescharacteristic, complemented
203C2×#11758224—21no—
204C2×#11758224C2311yescharacteristic
205C2×Q8×D61—21no—
206C2×Q8×D61C2311yescharacteristic
207C2×D4×D61D411yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210#14519806—24no—
211C2×Dic244C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758200C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758189—24no—
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×#11758189C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222M16×D61—24no—
223C22×#92418C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519777C2311yescharacteristic
227#14519776—21no—
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519775—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519771—21no—
241#14519771—21no—
242#14519771—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519769C2311yescharacteristic
253#14519768—21no—
254#14519767—21no—
255#14519767—21no—
256#14519766—21no—
257#14519765—21no—
258#14519764—21no—
259#14519764—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519762—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519758—21no—
272#14519758—21no—
273#14519757C2311yescharacteristic
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756C2311yescharacteristic
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519754—21no—
288#14519754—21no—
289#14519754—21no—
290#14519753C2311yescharacteristic
291#14519753C2311yescharacteristic
292#14519750—21no—
293#14519749—21no—
294#14519748C2311yescharacteristic
295#14519748C2311yescharacteristic
296#14519745—21no—
297#14519745—21no—
298Q8×Dic61—21no—
299Q8×Dic61C2311yescharacteristic
300C4×Dic122—21no—
301C4×Dic122—21no—
302C4×Dic122—21no—
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122C2311yescharacteristic
306C4×Dic122C2311yescharacteristic
307#14519742—21no—
308#14519742—21no—
309#14519742—21no—
310#14519742—21no—
311#14519742—21no—
312#14519742—21no—
313#14519742C2311yescharacteristic
314#14519742C2311yescharacteristic
315C4×D244C2311yescharacteristic
316D4×Dic61—21no—
317D4×Dic61—21no—
318D4×Dic61D411yescharacteristic
319D4×Dic61C2311yescharacteristic
320#14519739D411yescharacteristic
321C4×C22⋊D61—21no—
322C4×C22⋊D61—21no—
323C4×C22⋊D61—21no—
324C4×C22⋊D61C2311yescharacteristic
325C4×C22⋊D61C2311yescharacteristic
326#14519737—21no—
327#14519737—21no—
328#14519737—21no—
329#14519737D411yescharacteristic
330#14519737D411yescharacteristic
331#14519736C2311yescharacteristic
332#14519736C2311yescharacteristic
333#14519736C2311yescharacteristic
334#14519735—21no—
335#14519735—21no—
336#14519735—21no—
337#14519735C2311yescharacteristic
338#14519735C2311yescharacteristic
339#14519735C2311yescharacteristic
340#14519735C2311yescharacteristic
341#14519735C2311yescharacteristic
342#14519735C2311yescharacteristic
343#14519735C2311yescharacteristic
344#14519735C2311yescharacteristic
345#14519735C2311yescharacteristic
346#14519734—21no—
347#14519734—21no—
348#14519734—21no—
349#14519733—21no—
350#14519733—21no—
351#14519733—21no—
352#14519733—21no—
353#14519733—21no—
354#14519733—21no—
355C2×C4⋊Dic61C2311yescharacteristic
356C4⋊C4×D61—21no—
357C4⋊C4×D61—21no—
358C4⋊C4×D61—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61D411yescharacteristic
361C4⋊C4×D61C2311yescharacteristic
362C4⋊C4×D61C2311yescharacteristic
363C4⋊C4×D61C2311yescharacteristic
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C2×#11758198—21no—
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61D411yescharacteristic
373C22⋊C4×D61D411yescharacteristic
374C2×C4×Dic61—21no—
375C2×C4×Dic61—21no—
376C42×D61—21no—
377C42×D61—21no—
378C42×D61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519710C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519708C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519708C2311yescharacteristic
408C4⋊#92418C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519702C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442#126×C61—21no—
443#126×C61—21no—
444#126×C61—21no—
445#125×C61C2311yescharacteristic
446#124×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C23×D61C2×D411yescharacteristic
482C23×D61C2×D411yescharacteristic
483C2×Q8×C61—21no—
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2×D411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61C2411yescharacteristic
492C22×C4×C61C2411yescharacteristic
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61C2×D411yescharacteristic
497C2×C22⋊D61C2×D411yescharacteristic
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61C2×D411yescharacteristic
502C22×Dic61C2×D411yescharacteristic
503Q8×D61—22no—
504Q8×D61—22no—
505Q8×D61—44no—
506#11758224—22no—
507#11758224—22no—
508#11758224—44no—
509D4×D61—42no—
510C2×D244C2×D411yescharacteristic
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—22no—
514C2×C4×D61—22no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61C2×D411yescharacteristic
522C2×C4×D61C2×D411yescharacteristic
523C2×C4×D61C2×D411yescharacteristic
524C2×C4×D61C2×D411yescharacteristic
525C2×C4×D61C2×D411yescharacteristic
526C2×C4×D61C2×D411yescharacteristic
527C2×C4×D61C2411yescharacteristic
528C2×C4×D61C2411yescharacteristic
529C2×C4×D61C2411yescharacteristic
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122C2411yescharacteristic
537C2×Dic122C2411yescharacteristic
538SD16×C61—22no—
539M16×C61—22no—
540C2×C8×C61—22no—
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61C2×D411yescharacteristic
553C4⋊C4×C61C2411yescharacteristic
554C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61C2×D411yescharacteristic
568C22⋊C4×C61C2×D411yescharacteristic
569C42×C61—21no—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61C2411yescharacteristic
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61C2×D411yescharacteristic
585C22⋊Dic61C2×D411yescharacteristic
586#11758202—22no—
587#11758200—22no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
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#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644C4×Dic61—21no—
645C4×Dic61—21no—
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×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664#11758194—22no—
665C2×#92418—22no—
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670Dic244—22no—
671#11758189—22no—
672#11758189—22no—
673#11758189—22no—
674#11758189—22no—
675#11758189—22no—
676#11758189#4114yescomplemented
677C8×D61—22no—
678C8×D61—22no—
679C23×C61—21no—
680C23×C61C22×D411yescharacteristic
681C23×C61C22×D411yescharacteristic
682C22×D61—22no—
683C22×D61—22no—
684C22×D61—41no—
685C22×D61—41no—
686C22×D61—41no—
687C22×D61—41no—
688C22×D61C22×D411yescharacteristic
689C22×D61C22×D411yescharacteristic
690C22×D61C22×D411yescharacteristic
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—42no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—41no—
697D4×C61—42no—
698D4×C61—81no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—81no—
711C2×C4×C61—81no—
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—22no—
718C22⋊D61—22no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C2×Dic61—22no—
723C2×Dic61—22no—
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—42no—
733C2×Dic61—42no—
734C2×Dic61—42no—
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740D244—41no—
741C4×D61—22no—
742C4×D61—22no—
743C4×D61—21no—
744C4×D61—21no—
745C4×D61—21no—
746C4×D61—21no—
747C4×D61—22no—
748C4×D61—22no—
749C4×D61—22no—
750C4×D61—41no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—81no—
757C4×D61C2×#4112yes—
758C4×D612−1+412yes—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—21no—
763Dic122—42no—
764Dic122—42no—
765Dic122—42no—
766Dic122—42no—
767Dic122—42no—
768Dic122—81no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772C8×C61C2×#4112yes—
773#92418—21no—
774#92418—21no—
775#92418—21no—
776#92418C2×#4112yes—
777#61257—611nomaximal, Sylow
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—41no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61C23×D411yescharacteristic
788C2×D61—21no—
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—21no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—82no—
797C2×D61—82no—
798C2×D61#54712yes—
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×C61—41no—
808C4×C61—41no—
809C4×C61—41no—
810C4×C61C22×#4111yescharacteristic
811C4×C61C2×2−1+411yescharacteristic
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823Dic61#54712yes—
824Dic61#57512yes—
825#3475—611no—
826C2×#556—611no—
827#3356—611no—
828#3356—611no—
829#3353—611no—
830#3353—611no—
831#3350—611no—
832#3350—611no—
833#3350—611no—
834#3350D6111yescharacteristic, complemented
835#3349—611no—
836#3349—611no—
837#3349—611no—
838#3349—611no—
839#3342—611no—
840#3342—611no—
841#3340—611no—
842#3340—611no—
843#3165—611no—
844#3095—611no—
845#3095—611no—
846#3093—611no—
847#3093—611no—
848#3079—611no—
849#3078—611no—
850#3056—611no—
851#3056—611no—
852C4×#137—611no—
853D4×M16—611no—
854#2911—611no—
855#2911—611no—
856C2×C61—41no—
857C2×C61—41no—
858C2×C61—81no—
859C2×C61C2×#54711yescharacteristic
860C2×C61C2×#57511yescharacteristic
861C2×C61#358611yescharacteristic
862D61—22no—
863D61—41no—
864D61—41no—
865C2×#137—611no—
866C22×M16—611no—
867C22×M16—611no—
868#556—611no—
869#556—611no—
870#556—611no—
871#556—611no—
872#556—611no—
873#556—611no—
874#556—611no—
875#556—611no—
876#556—1221no—
877#556—1221no—
878#556—1221no—
879#556—1221no—
880#556C2×D6111yescharacteristic
881#555—611no—
882#554—611no—
883#553—611no—
884#553C2×D6111yescharacteristic
885#552—611no—
886#552—611no—
887#552—1221no—
888#551—1221no—
889#551—1221no—
890#547—611no—
891#546—1221no—
892#533—611no—
893C2×C4⋊Q8—611no—
894#529—1221no—
895#529—1221no—
896#529—1221no—
897C2×#126—1221no—
898C2×#126—1221no—
899C2×#124—1221no—
900#525—611no—
901#525—611no—
902C2×C22⋊Q8—611no—
903C2×C22⋊Q8—611no—
904C4×#41—611no—
905C4×#41—1221no—
906C2×C4×Q8—611no—
907C2×C4×Q8—1221no—
908C2×C4×D4—611no—
909C2×#117—611no—
910C2×#117—611no—
911C2×#117—611no—
912C2×#117—611no—
913#501—611no—
914#501—611no—
915#501—611no—
916#501C2×D6111yescharacteristic, complemented
917#500—611no—
918#500—611no—
919#498—611no—
920#498—611no—
921#485—611no—
922#485—611no—
923#485—611no—
924#485—611no—
925#485—611no—
926#485—611no—
927#485—611no—
928#485—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485—611no—
934#485—611no—
935#485—611no—
936#485C2×D6111yescharacteristic, complemented
937#484—611no—
938#484—611no—
939#484—611no—
940#484—611no—
941#483—611no—
942#483—611no—
943#483—611no—
944#483C2×D6111yescharacteristic, complemented
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#482—611no—
950#482—611no—
951#482C2×D6111yescharacteristic, complemented
952#482C2×D6111yescharacteristic, complemented
953#479—611no—
954#479—611no—
955#479—611no—
956#479C2×D6111yescharacteristic, complemented
957#477—611no—
958#477—611no—
959#477—611no—
960#477—611no—
961#476—611no—
962#476C2×D6111yescharacteristic, complemented
963#475—611no—
964#475—611no—
965#475—611no—
966#475—611no—
967#474—611no—
968#474—611no—
969#470—611no—
970#470—611no—
971#470—611no—
972#470—611no—
973#468—611no—
974#468—611no—
975#468—611no—
976#468C2×D6111yescharacteristic, complemented
977#467—611no—
978#467—611no—
979#467—611no—
980#467—611no—
981#465—611no—
982#465—611no—
983#465—611no—
984#465C2×D6111yescharacteristic, complemented
985#441—611no—
986#441—611no—
987#440—611no—
988#440C2×D6111yescharacteristic, complemented
989C4×Q16—611no—
990C4×Q16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993#436—611no—
994#436—611no—
995#435—611no—
996#435—611no—
997#435—611no—
998#435C2×D6111yescharacteristic
999C8×D4—611no—
1000C8×D4—611no—
1001#428—611no—
1002#428—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#428—611no—
1008#428—611no—
1009#428—611no—
1010#428—611no—
1011#428—611no—
1012#428—611no—
1013#428—611no—
1014#428—611no—
1015#428—611no—
1016#428—611no—
1017#428C2×D6111yescharacteristic, complemented
1018#427—611no—
1019#427—611no—
1020#427—611no—
1021#427—611no—
1022#427—611no—
1023#427—611no—
1024#427—611no—
1025#427C2×D6111yescharacteristic, complemented
1026#423—611no—
1027#419—611no—
1028#419—611no—
1029#419—611no—
1030#417—611no—
1031#417—611no—
1032#417—611no—
1033#407—611no—
1034#407—611no—
1035C4×M16—611no—
1036C61#6125711yescharacteristic, complemented, Sylow
1037C2×#41—611no—
1038C2×#41—1221no—
1039C22×Q8—611no—
1040C22×Q8—1221no—
1041C22×D4—611no—
1042C23×C4—611no—
1043C23×C4—611no—
1044#137—1224no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×SD16—611no—
1048C2×SD16C22×D6111yescharacteristic
1049C2×M16—611no—
1050C2×M16—611no—
1051C2×M16—611no—
1052C2×M16—611no—
1053C2×M16—611no—
1054C2×M16—611no—
1055C2×M16—611no—
1056C2×M16—1224no—
1057C2×M16—1224no—
1058C2×M16C22×D6111yescharacteristic
1059C22×C8—611no—
1060C22×C8—611no—
1061C22×C8—611no—
1062C22×C8C22×D6111yescharacteristic
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8C22×D6111yescharacteristic
1071#126—21no—
1072#126—21no—
1073#126—21no—
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#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#125—611no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125C22×D6111yescharacteristic
1098#124—21no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#123—21no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117C22⋊Q8—611no—
1118C22⋊Q8—611no—
1119C22⋊Q8—611no—
1120C22⋊Q8—611no—
1121C22⋊Q8—611no—
1122C22⋊Q8—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8C22×D6111yescharacteristic
1137C22⋊Q8C22×D6111yescharacteristic
1138#121—21no—
1139#121—611no—
1140#121—611no—
1141#121—1221no—
1142#121—1221no—
1143#121C22×D6111yescharacteristic
1144#121C22×D6111yescharacteristic
1145#120—1221no—
1146#120—1221no—
1147C4×Q8—21no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×D4—21no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4C22×D6111yescharacteristic
1184C4×D4C22×D6111yescharacteristic
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—611no—
1193#117—611no—
1194#117—611no—
1195#117—611no—
1196#117—611no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117—1221no—
1205#117—1221no—
1206#117—1221no—
1207#117—1221no—
1208#117—1221no—
1209#117C22×D6111yescharacteristic
1210#117C22×D6111yescharacteristic
1211#117C22×D6111yescharacteristic
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—611no—
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—1221no—
1220C2×C4⋊C4—1221no—
1221C2×C4⋊C4—1221no—
1222C2×C4⋊C4—1221no—
1223C2×C4⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—1221no—
1227C2×C22⋊C4—1221no—
1228C2×C22⋊C4—1221no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C42—611no—
1233C2×C42—1221no—
1234C2×C42—1221no—
1235C2×C42—1221no—
1236C2×C42—1221no—
1237C2×C42—1221no—
1238C2×C42—1221no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107—611no—
1250#107—611no—
1251#107—611no—
1252#107—611no—
1253#107C22×D6111yescharacteristic
1254#107C22×D6111yescharacteristic
1255#107C22×D6111yescharacteristic
1256#107C22×D6111yescharacteristic
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106—611no—
1262#106—611no—
1263#106—611no—
1264#106—611no—
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106C22×D6111yescharacteristic
1271#106C22×D6111yescharacteristic
1272#106C22×D6111yescharacteristic
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8C22×D6111yescharacteristic
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102C22×D6111yescharacteristic
1301#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
1303C22⋊C8—611no—
1304C22⋊C8—611no—
1305C22⋊C8—611no—
1306C22⋊C8—611no—
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8C22×D6111yescharacteristic
1310C22⋊C8C22×D6111yescharacteristic
1311#97—611no—
1312#97C22×D6111yescharacteristic
1313C4×C8—611no—
1314C4×C8—611no—
1315C24—611no—
1316C24—611no—
1317#41—1222no—
1318#41—1222no—
1319#41—2444no—
1320C2×Q8—21no—
1321C2×Q8—611no—
1322C2×Q8—611no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—1221no—
1327C2×Q8—1221no—
1328C2×Q8—1222no—
1329C2×Q8—1222no—
1330C2×Q8—1221no—
1331C2×Q8—2444no—
1332C2×Q8C23×D6111yescharacteristic
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—611no—
1336C2×D4—611no—
1337C2×D4—611no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—2442no—
1342C2×D4D4×D6111yescharacteristic
1343C2×D4C23×D6111yescharacteristic
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—1222no—
1358C22×C4—1222no—
1359C22×C4—1222no—
1360C22×C4—1222no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372Q16—1222no—
1373Q16—1222no—
1374SD16—22no—
1375SD16—1222no—
1376M16—22no—
1377M16—614no—
1378M16—1222no—
1379M16—1222no—
1380M16—1222no—
1381M16—1222no—
1382M16—1222no—
1383M16—1222no—
1384C2×C8—22no—
1385C2×C8—611no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—1222no—
1390C2×C8—1222no—
1391C2×C8—1222no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
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—611no—
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⋊C4D4×D6111yescharacteristic
1441C4⋊C4C23×D6111yescharacteristic
1442C4⋊C4C23×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
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⋊C4D4×D6111yescharacteristic
1487C22⋊C4D4×D6111yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42C23×D6111yescharacteristic
1513C23—21no—
1514C23—611no—
1515C23—611no—
1516C23—611no—
1517C23—1222no—
1518C23—1222no—
1519C23—2441no—
1520C23—2441no—
1521C23—2441no—
1522C23—2441no—
1523C23C2×D4×D6111yescharacteristic
1524C23C2×D4×D6111yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—42no—
1528Q8—1221no—
1529Q8—1221no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—4881no—
1533Q8—2442no—
1534Q8—2442no—
1535Q8—2442no—
1536Q8—2442no—
1537Q8—2442no—
1538D4—21no—
1539D4—21no—
1540D4—41no—
1541D4—42no—
1542D4—81no—
1543D4—1222no—
1544D4—1222no—
1545D4—4881no—
1546D4—2441no—
1547D4—2442no—
1548D4—2442no—
1549C2×C4—21no—
1550C2×C4—21no—
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—81no—
1561C2×C4—81no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—612no—
1565C2×C4—612no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—1222no—
1570C2×C4—1222no—
1571C2×C4—1222no—
1572C2×C4—1222no—
1573C2×C4—1222no—
1574C2×C4—1222no—
1575C2×C4—1222no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—4881no—
1589C2×C4—2441no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4—2442no—
1595C2×C4—2442no—
1596C2×C4—2442no—
1597C2×C4—2442no—
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C2×D4×D6111yescharacteristic
1601C2×C4C2×D4×D6111yescharacteristic
1602C2×C4C24×D6111yescharacteristic
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—612no—
1607C8—1221no—
1608C8—1221no—
1609C8—1221no—
1610C8#41×D6112yes—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—612no—
1621C22—1221no—
1622C22—1221no—
1623C22—1221no—
1624C22—1221no—
1625C22—1221no—
1626C22—1221no—
1627C22—1221no—
1628C22—1221no—
1629C22—4882no—
1630C22—4882no—
1631C22C22×D4×D6111yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—612no—
1644C4—612no—
1645C4—1221no—
1646C4—1221no—
1647C4—1221no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4C2×#41×D6111yescharacteristic
1657C42−1+4×D6111yescharacteristic
1658C2—41no—
1659C2—41no—
1660C2—81no—
1661C2—1222no—
1662C2—2441no—
1663C2—2441no—
1664C2#547×D6111yescharacteristic
1665C2#575×D6111yescharacteristic
1666C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3350C2
socleC22×C61C23×D4
prime radical#21459378C2
hypercenter#3350D61
hypocenterC61#61257
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
2. #556×D61C2semidirect
3. #21458430C2semidirect
4. #21458427C2semidirect
5. #21458401C2semidirect
6. #21458398C2semidirect
7. #21458371C2semidirect
8. #21458369C2semidirect
9. #21458358C2semidirect
10. #21458356C2semidirect
11. #21458351C2semidirect
12. #21458348C2semidirect
13. #21458343C2semidirect
14. #21458247C2semidirect
15. #21458244C2semidirect
16. #21458230C2semidirect
17. #21458227C2semidirect
18. #21456364C2semidirect
19. #21455766C2semidirect
20. #21455762C2semidirect
21. #21455747C2semidirect
22. #21455747C2semidirect
23. #21455631C2semidirect
24. #21455622C2semidirect
25. #21455444C2semidirect
26. #21455442C2semidirect
27. #21454641C2semidirect
28. #21454552C2semidirect
29. #21454407C2semidirect
30. #21454406C2semidirect
31. C61×#3350C2semidirect
78. #16840172C22semidirect
79. #16840171C22semidirect
80. #16840168C22semidirect
81. #16840166C22semidirect
82. #16840166C22semidirect
83. #16840159C22semidirect
84. #16840159C22semidirect
85. #16840106C22semidirect
86. #16840106C22semidirect
87. #16840106C22semidirect
88. #16840106C22semidirect
89. #16840105C22semidirect
90. #16840105C22semidirect
91. #16840104C22semidirect
92. #16840104C22semidirect
93. #16840104C22semidirect
94. #16840103C22semidirect
95. #16840103C22semidirect
96. #16840103C22semidirect
97. #16840102C22semidirect
98. #16840102C22semidirect
99. #16840100C22semidirect
100. #16840099C22semidirect
101. #16840098C22semidirect
102. #16840096C22semidirect
103. #16840095C22semidirect
104. #16840094C22semidirect
105. #16840092C22semidirect
106. #16840091C22semidirect
107. #16840085C22semidirect
108. #16840085C22semidirect
109. #16840084C22semidirect
110. #16840084C22semidirect
111. #16840083C22semidirect
112. #16840083C22semidirect
113. #16840070C22semidirect
114. #16840069C22semidirect
115. #16840066C22semidirect
116. #16840058C22semidirect
117. #16840056C22semidirect
118. #16840055C22semidirect
119. #16840054C22semidirect
120. #16840052C22semidirect
121. #16840046C22semidirect
122. #16840046C22semidirect
123. #16840046C22semidirect
124. #16840045C22semidirect
125. #16840040C22semidirect
126. #16840040C22semidirect
127. #16840021C22semidirect
128. #16840020C22semidirect
129. #16840019C22semidirect
130. #16840018C22semidirect
131. #16840007C22semidirect
132. #16840006C22semidirect
133. #16840005C22semidirect
134. #16840004C22semidirect
135. #16840003C22semidirect
136. #16840002C22semidirect
137. #16840001C22semidirect
138. #16839990C22semidirect
139. #16839989C22semidirect
140. #16839988C22semidirect
141. #16839870C22semidirect
142. #16839867C22semidirect
143. #16839862C22semidirect
144. #16839856C22semidirect
145. #16839854C22semidirect
146. #16839853C22semidirect
147. SD16×Dic61C22semidirect
155. #16839805C22semidirect
156. #16839804C22semidirect
161. #16839803C22semidirect
162. #16839803C22semidirect
163. #16839802C22semidirect
169. #16839801C22semidirect
170. #16839801C22semidirect
171. #16839800C22semidirect
172. #16839799C22semidirect
173. #16839799C22semidirect
174. #16839798C22semidirect
175. #16839798C22semidirect
176. #16839797C22semidirect
177. #16839797C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
192. C61×#483C22semidirect
193. C61×#482C22semidirect
194. C61×#482C22semidirect
195. C61×#479C22semidirect
196. C61×#476C22semidirect
197. C61×#468C22semidirect
198. C61×#465C22semidirect
199. C61×#440C22semidirect
201. C61×#428C22semidirect
202. C61×#427C22semidirect
676. #11758189#41semidirect
834. #3350D61semidirect
916. #501C2×D61semidirect
936. #485C2×D61semidirect
944. #483C2×D61semidirect
951. #482C2×D61semidirect
952. #482C2×D61semidirect
956. #479C2×D61semidirect
962. #476C2×D61semidirect
976. #468C2×D61semidirect
984. #465C2×D61semidirect
988. #440C2×D61semidirect
1017. #428C2×D61semidirect
1025. #427C2×D61semidirect
1036. C61#61257semidirect

Maximal subgroups

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

subgroupindex
#214593782
#556×D612
#214584302
#214584272
#214584012
#214583982
#214583712
#214583692
#214583582
#214583562
#214583512
#214583482
#214583432
#214582472
#214582442
#214582302
#214582272
#214563642
#214557662
#214557622
#214557472
#214556312
#214556222
#214554442
#214554422
#214546412
#214545522
#214544072
#214544062
C61×#33502
#6125761