Finite Group Databasebeta

← #30576168

Subgroups — #30576168

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459633C211yesmaximal, characteristic, complemented
2#21459426C211yesmaximal, characteristic
3#21458732C211yesmaximal, characteristic, complemented
4#21458726C211yesmaximal, characteristic, complemented
5#21458636C211yesmaximal, characteristic, complemented
6#21458634C211yesmaximal, characteristic, complemented
7#21458305C211yesmaximal, characteristic, complemented
8#21458304C211yesmaximal, characteristic, complemented
9#21458297C211yesmaximal, characteristic, complemented
10#21458209C211yesmaximal, characteristic, complemented
11#21458206C211yesmaximal, characteristic, complemented
12#21457903C211yesmaximal, characteristic, complemented
13#21457902C211yesmaximal, characteristic, complemented
14#21457895C211yesmaximal, characteristic, complemented
15#21457894C211yesmaximal, characteristic, complemented
16#21457641C211yesmaximal, characteristic, complemented
17#21457638C211yesmaximal, characteristic, complemented
18#21457201C211yesmaximal, characteristic, complemented
19#21457155C211yesmaximal, characteristic, complemented
20#21457149C211yesmaximal, characteristic, complemented
21#21457050C211yesmaximal, characteristic, complemented
22#21457047C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21455916C211yesmaximal, characteristic, complemented
25#21455915C211yesmaximal, characteristic, complemented
26#21455885C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28C2×#16840041C211yesmaximal, characteristic, complemented
29#474×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3346C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic, complemented
34#16840492C2211yescharacteristic, complemented
35#16840489—21no—
36#16840470C2211yescharacteristic
37#16840470C2211yescharacteristic, complemented
38#16840469C2211yescharacteristic, complemented
39#16840468C2211yescharacteristic
40#16840467C2211yescharacteristic
41#16840467C2211yescharacteristic
42#16840467C2211yescharacteristic, complemented
43#16840457—21no—
44#16840456C2211yescharacteristic
45#16840441—21no—
46#16840437—21no—
47D4×Dic122—21no—
48#16840425—21no—
49#16840425—21no—
50#16840409C2211yescharacteristic
51#16840408C2211yescharacteristic
52#16840401—21no—
53#16840396C2211yescharacteristic
54#16840392—21no—
55#16840391—21no—
56#16840391—21no—
57#16840316C2211yescharacteristic, complemented
58#16840314C2211yescharacteristic, complemented
59#16840314C2211yescharacteristic, complemented
60#16840307C2211yescharacteristic
61C2×#14519776C2211yescharacteristic, complemented
62C2×#14519776C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840297C2211yescharacteristic
65#16840295—21no—
66#16840293C2211yescharacteristic
67#16840272—21no—
68#16840270—21no—
69#16840241—21no—
70#16840230C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840166C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840103C2211yescharacteristic, complemented
87#16840099C2211yescharacteristic, complemented
88#16840099C2211yescharacteristic, complemented
89#16840099C2211yescharacteristic, complemented
90#16840098C2211yescharacteristic, complemented
91#16840097C2211yescharacteristic, complemented
92#16840097C2211yescharacteristic, complemented
93#16840096C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic
95#16840082C2211yescharacteristic
96#16840078C2211yescharacteristic
97#16840076C2211yescharacteristic, complemented
98#16840075C2211yescharacteristic, complemented
99#16840073C2211yescharacteristic, complemented
100#16840072C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840056C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840056C2211yescharacteristic, complemented
106#16840055C2211yescharacteristic, complemented
107#16840051C2211yescharacteristic
108#16840051C2211yescharacteristic
109#16840046C2211yescharacteristic, complemented
110#16840046C2211yescharacteristic, complemented
111#16840046C2211yescharacteristic, complemented
112#16840043C2211yescharacteristic
113#16840042C2211yescharacteristic, complemented
114#16840041C2211yescharacteristic
115#16840041C2211yescharacteristic
116#16840041C2211yescharacteristic
117#16840041C2211yescharacteristic
118#16840041C2211yescharacteristic
119#16840041C2211yescharacteristic, complemented
120#16840041C2211yescharacteristic, complemented
121#16840041C2211yescharacteristic, complemented
122#16840041C2211yescharacteristic, complemented
123#16840041C2211yescharacteristic, complemented
124#16840040C2211yescharacteristic, complemented
125#16840040C2211yescharacteristic, complemented
126#16840040C2211yescharacteristic, complemented
127#16840039C2211yescharacteristic
128#16840010C2211yescharacteristic, complemented
129#16840008C2211yescharacteristic, complemented
130#16840006C2211yescharacteristic, complemented
131#16840004C2211yescharacteristic, complemented
132#16840003C2211yescharacteristic, complemented
133#16840002C2211yescharacteristic, complemented
134#16840001C2211yescharacteristic, complemented
135#16839994C2211yescharacteristic
136#16839992C2211yescharacteristic
137#16839989C2211yescharacteristic
138#16839985C2211yescharacteristic, complemented
139#16839984C2211yescharacteristic, complemented
140#16839983C2211yescharacteristic, complemented
141#16839982C2211yescharacteristic, complemented
142#16839971C2211yescharacteristic, complemented
143#16839966C2211yescharacteristic
144#16839966C2211yescharacteristic, complemented
145#16839965C2211yescharacteristic, complemented
146#16839961C2211yescharacteristic
147#16839960C2211yescharacteristic
148#16839926C2211yescharacteristic
149#16839922C2211yescharacteristic
150#16839915C2211yescharacteristic
151#16839914C2211yescharacteristic
152#16839912C2211yescharacteristic
153#16839911C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839865C2211yescharacteristic
157#16839865C2211yescharacteristic, complemented
158#16839864C2211yescharacteristic
159#16839862C2211yescharacteristic, complemented
160#16839861C2211yescharacteristic
161#16839861C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic
163#16839856C2211yescharacteristic, complemented
164#16839854C2211yescharacteristic, complemented
165#16839849C2211yescharacteristic
166#16839847C2211yescharacteristic
167#16839836C2211yescharacteristic, complemented
168#16839834C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176C2×#14519710C2211yescharacteristic, complemented
177#107×D61C2211yescharacteristic, complemented
178#107×D61C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180C2×#14519706C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839764C2211yescharacteristic
183#16839761C2211yescharacteristic
184C2×#14519699C2211yescharacteristic
185C2×#14519697C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#554C2211yescharacteristic, complemented
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#481C2211yescharacteristic
194C61×#480C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#474C2211yescharacteristic, complemented
197C61×#468C2211yescharacteristic, complemented
198C61×#465C2211yescharacteristic
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C2×#107×C61C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224D411yescharacteristic
206C22×Dic122—21no—
207C22×Dic122—21no—
208C2×Q8×D61—21no—
209C22×D244C2311yescharacteristic
210C2×D4×D61—21no—
211C2×D4×D61C2311yescharacteristic
212C22×C4×D61—21no—
213C22×C4×D61—21no—
214C2×Dic244C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758194C2311yescharacteristic
222C22×#92418C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777—21no—
226#14519777C2311yescharacteristic
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776—21no—
233#14519776—21no—
234#14519776—21no—
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519775—21no—
244#14519775—21no—
245#14519775—21no—
246#14519775C2311yescharacteristic
247#14519773C2311yescharacteristic
248#14519772—21no—
249#14519771—21no—
250#14519770—21no—
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519765C2311yescharacteristic
262#14519764C2311yescharacteristic
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519758—21no—
272#14519757—21no—
273#14519757—21no—
274#14519757—21no—
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756—21no—
279#14519756—21no—
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519756C2311yescharacteristic
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519753C2311yescharacteristic
296#14519752C2311yescharacteristic
297#14519751C2311yescharacteristic
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519749—21no—
302#14519748—21no—
303#14519747—21no—
304#14519745—21no—
305#14519745—21no—
306#14519745—21no—
307Q8×Dic61C2311yescharacteristic
308Q8×Dic61C2311yescharacteristic
309C4×Dic122—21no—
310C4×Dic122—21no—
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313#14519742—21no—
314#14519742—21no—
315#14519742—21no—
316#14519742D411yescharacteristic
317#14519742C2311yescharacteristic
318#14519742C2311yescharacteristic
319#14519742C2311yescharacteristic
320#14519742C2311yescharacteristic
321C4×D244—21no—
322C4×D244C2311yescharacteristic
323D4×Dic61—21no—
324D4×Dic61—21no—
325D4×Dic61D411yescharacteristic
326D4×Dic61C2311yescharacteristic
327#14519739—21no—
328#14519739—21no—
329#14519739—21no—
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737D411yescharacteristic
349#14519737D411yescharacteristic
350#14519735—21no—
351#14519735D411yescharacteristic
352#14519734—21no—
353#14519734—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×C4⋊Dic61C2311yescharacteristic
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61C2311yescharacteristic
373C2×C4×Dic61C2311yescharacteristic
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×SD16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446C22⋊Q8×C61C2311yescharacteristic
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2×D411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61C2411yescharacteristic
491C22×C4×C61C2411yescharacteristic
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61C2×D411yescharacteristic
498C2×C22⋊D61C2×D411yescharacteristic
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61C2×D411yescharacteristic
503C22×Dic61C2×D411yescharacteristic
504C22×Dic61C2×D411yescharacteristic
505C22×Dic61C2×D411yescharacteristic
506Q8×D61—82no—
507#11758224—24no—
508#11758224—82no—
509D4×D61—22no—
510D4×D61—41no—
511D4×D61—44no—
512#11758222—22no—
513#11758222—41no—
514C2×D244—22no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—41no—
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—82no—
531C2×C4×D61—82no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—82no—
545C2×Dic122—82no—
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2411yescharacteristic
548C2×Dic122C2411yescharacteristic
549SD16×C61—41no—
550M16×C61—41no—
551C2×C8×C61—41no—
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61C2×D411yescharacteristic
579C22⋊C4×C61C2×D411yescharacteristic
580C42×C61—21no—
581C42×C61—21no—
582C42×C61C2411yescharacteristic
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591#11758202—41no—
592#11758201—22no—
593#11758201—41no—
594#11758200—41no—
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#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
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—
673#11758190—22no—
674#11758190—41no—
675C8×D61—41no—
676C8×D61—41no—
677C23×C61—21no—
678C23×C61C22×D411yescharacteristic
679C23×C61C22×D411yescharacteristic
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—42no—
686C22×D61—81no—
687C22×D61—81no—
688C22×D61C22×D411yescharacteristic
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—81no—
692D4×C61—22no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—42no—
696D4×C61—81no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
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—81no—
709C2×C4×C61—81no—
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—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C22⋊D61—81no—
723C22⋊D61#13714yes—
724C2×Dic61—22no—
725C2×Dic61—22no—
726C2×Dic61—22no—
727C2×Dic61—22no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—42no—
735C2×Dic61—81no—
736C2×Dic61—81no—
737C2×Dic61C22×D411yescharacteristic
738C2×Dic61C22×D411yescharacteristic
739C2×Dic61C22×D411yescharacteristic
740C2×Dic61C22×D411yescharacteristic
741C2×Dic61C22×D411yescharacteristic
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744D244—21no—
745D244—21no—
746D244—21no—
747D244—42no—
748D244—42no—
749D2442−1+412yes—
750C4×D61—22no—
751C4×D61—21no—
752C4×D61—21no—
753C4×D61—22no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—81no—
759C4×D61—81no—
760C4×D61—81no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764Dic122—22no—
765Dic122—21no—
766Dic122—21no—
767Dic122—21no—
768Dic122—21no—
769Dic122—42no—
770Dic122—42no—
771Dic122—42no—
772Dic122—81no—
773Dic122—81no—
774Dic122—81no—
775Dic122—81no—
776Dic122—81no—
777Dic122—81no—
778C8×C61—21no—
779C8×C61—21no—
780C8×C61—21no—
781C8×C61—21no—
782#92418—21no—
783#92418—21no—
784#92418—21no—
785#92418—21no—
786#62127—611nomaximal, Sylow
787C22×C61—21no—
788C22×C61—21no—
789C22×C61—21no—
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61C2×#13712yes—
796C22×C61C23×D411yescharacteristic
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—22no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
805C2×D61—84no—
806C2×D61—84no—
807C2×D61C2×#13712yes—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—21no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61C2×2−1+411yescharacteristic
820C4×C61#58511yescharacteristic
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—21no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61—41no—
831Dic61—41no—
832Dic61C2×#13712yes—
833Dic61#57612yes—
834#3503—611no—
835#3481—611no—
836#3385—611no—
837#3385—611no—
838#3375—611no—
839#3375—611no—
840#3346—611no—
841#3346—611no—
842#3346—611no—
843#3346D6111yescharacteristic, complemented
844#3338—611no—
845#3338—611no—
846#3314—611no—
847#3314—611no—
848#3314—611no—
849#3314—611no—
850#3295—611no—
851#3295—611no—
852#3254—611no—
853#3248—611no—
854#3248—611no—
855#3239—611no—
856#3239—611no—
857#3226—611no—
858#3110—611no—
859#3110—611no—
860#3107—611no—
861#3079—611no—
862C2×#474—611no—
863C2×#474—611no—
864#2990—611no—
865C2×C61—22no—
866C2×C61—41no—
867C2×C61—81no—
868C2×C61#348911yescharacteristic
869C2×C61C22×#13711yescharacteristic
870C2×C61C2×#57611yescharacteristic
871D61—22no—
872D61—42no—
873D61—81no—
874#559—611no—
875Q82—611no—
876Q82—611no—
877#557—1221no—
878#554—611no—
879#554—611no—
880#554—611no—
881#554—611no—
882#554—611no—
883#554—611no—
884#554—611no—
885#554C2×D6111yescharacteristic, complemented
886#553—611no—
887#553—1221no—
888#553C2×D6111yescharacteristic
889#551—1221no—
890#551—1221no—
891D4×Q8—1221no—
892D4×Q8—1221no—
893D4×Q8—1221no—
894#546—611no—
895#546—611no—
896#546—1221no—
897D42—611no—
898#544—1221no—
899#544—1221no—
900#544—1221no—
901#533—611no—
902#533—611no—
903#533—611no—
904#532—611no—
905C2×C4⋊Q8—611no—
906C2×C4⋊Q8—611no—
907C2×C4⋊Q8—611no—
908#529—611no—
909#529—611no—
910#529—1221no—
911#525—1221no—
912#525—1221no—
913#520—1221no—
914C4×#41—611no—
915C4×#41—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—1221no—
919#501—611no—
920#501—611no—
921#501—611no—
922#501C2×D6111yescharacteristic, complemented
923#500—611no—
924#500—611no—
925#489—611no—
926#489—611no—
927#489—611no—
928#489—611no—
929#486—611no—
930#486—611no—
931#485—611no—
932#485C2×D6111yescharacteristic, complemented
933#484—611no—
934#484—611no—
935#484—611no—
936#484—611no—
937#484—611no—
938#484—611no—
939#484—611no—
940#484C2×D6111yescharacteristic, complemented
941#481—611no—
942#481—611no—
943#481—611no—
944#481C2×D6111yescharacteristic
945#480—611no—
946#480—611no—
947#480—611no—
948#480C2×D6111yescharacteristic, complemented
949#479—611no—
950#479—611no—
951#479—611no—
952#479C2×D6111yescharacteristic, complemented
953#477—611no—
954#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#475—611no—
960#475—611no—
961#475—611no—
962#474—611no—
963#474—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#474—611no—
969#474—611no—
970#474—611no—
971#474—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#474—611no—
978#474C2×D6111yescharacteristic, complemented
979#468—611no—
980#468—611no—
981#468—611no—
982#468C2×D6111yescharacteristic, complemented
983#467—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#465—611no—
988#465—611no—
989#465—611no—
990#465C2×D6111yescharacteristic
991#464—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#462—611no—
996#461—611no—
997#461—611no—
998#461—611no—
999#460—611no—
1000#460—611no—
1001#452—611no—
1002#452—611no—
1003#450—611no—
1004#450—611no—
1005#450—611no—
1006#450—611no—
1007#446—611no—
1008#446—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016#440C2×D6111yescharacteristic, complemented
1017C4×Q16—611no—
1018C4×Q16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435C2×D6111yescharacteristic, complemented
1025C8×D4—611no—
1026C8×D4—611no—
1027#432—611no—
1028#432—611no—
1029#431—611no—
1030#428—611no—
1031#428C2×D6111yescharacteristic, complemented
1032C2×#107—611no—
1033C2×#107—611no—
1034C2×#107—611no—
1035C2×#107C2×D6111yescharacteristic, complemented
1036#423—611no—
1037C2×C4⋊C8—611no—
1038C2×C4⋊C8—611no—
1039#417—611no—
1040#417—611no—
1041C2×#102—611no—
1042C2×#102—611no—
1043C2×#102—611no—
1044C2×#102—611no—
1045C61#6212711yescharacteristic, complemented, Sylow
1046C2×#41—611no—
1047C2×#41—611no—
1048C2×#41—1221no—
1049C22×Q8—1221no—
1050C22×Q8—1221no—
1051C22×Q8—1221no—
1052C22×D4—611no—
1053C22×D4—611no—
1054C22×D4—1221no—
1055C23×C4—1221no—
1056C23×C4—1221no—
1057C2×Q16—611no—
1058C2×Q16—611no—
1059C2×SD16—611no—
1060C2×SD16—611no—
1061C2×SD16—611no—
1062C2×SD16—611no—
1063C2×SD16—611no—
1064C2×SD16C22×D6111yescharacteristic
1065C2×M16—611no—
1066C2×M16C22×D6111yescharacteristic
1067C22×C8—611no—
1068C22×C8—611no—
1069C22×C8—611no—
1070C22×C8C22×D6111yescharacteristic
1071C4⋊Q8—611no—
1072C4⋊Q8—611no—
1073C4⋊Q8—611no—
1074C4⋊Q8—611no—
1075C4⋊Q8—611no—
1076C4⋊Q8—611no—
1077C4⋊Q8—611no—
1078C4⋊Q8—611no—
1079C4⋊Q8—611no—
1080C4⋊Q8—611no—
1081C4⋊Q8—1221no—
1082C4⋊Q8—1221no—
1083C4⋊Q8—1221no—
1084C4⋊Q8—1221no—
1085C4⋊Q8—1221no—
1086C4⋊Q8—1221no—
1087C4⋊Q8—1221no—
1088C4⋊Q8—1221no—
1089C4⋊Q8—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093C4⋊Q8C22×D6111yescharacteristic
1094#127—611no—
1095#126—21no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#125—21no—
1100#125—611no—
1101#125—1221no—
1102#125—1221no—
1103#125—1221no—
1104#125—1221no—
1105#125—1221no—
1106#125—1221no—
1107#125—1221no—
1108#125—1221no—
1109#125—1221no—
1110#125C22×D6111yescharacteristic
1111#124—611no—
1112#124—611no—
1113#124—1221no—
1114#124—1221no—
1115#123—21no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123C22⋊Q8—21no—
1124C22⋊Q8—21no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—611no—
1129C22⋊Q8—611no—
1130C22⋊Q8—611no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
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⋊Q8C22×D6111yescharacteristic
1150C22⋊Q8C22×D6111yescharacteristic
1151#121—21no—
1152#121—611no—
1153#121—611no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121C22×D6111yescharacteristic
1160#121C22×D6111yescharacteristic
1161#120—1221no—
1162#120—1221no—
1163#120—1221no—
1164#120—1221no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8C22×D6111yescharacteristic
1180C4×D4—21no—
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—611no—
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×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4C22×D6111yescharacteristic
1212C4×D4C22×D6111yescharacteristic
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222#117C22×D6111yescharacteristic
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—611no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C4⋊C4C22×D6111yescharacteristic
1234C2×C4⋊C4C22×D6111yescharacteristic
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C22⋊C4—1221no—
1238C2×C22⋊C4—1221no—
1239C2×C42—611no—
1240C2×C42—611no—
1241C2×C42—611no—
1242C2×C42—1221no—
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#107—611no—
1254#107—611no—
1255#107C22×D6111yescharacteristic
1256#107C22×D6111yescharacteristic
1257#107C22×D6111yescharacteristic
1258#107C22×D6111yescharacteristic
1259#107C22×D6111yescharacteristic
1260#107C22×D6111yescharacteristic
1261#106—611no—
1262#106—611no—
1263#106—611no—
1264#106C22×D6111yescharacteristic
1265#106C22×D6111yescharacteristic
1266#106C22×D6111yescharacteristic
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8C22×D6111yescharacteristic
1277#103—611no—
1278#103—611no—
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#103C22×D6111yescharacteristic
1289#103C22×D6111yescharacteristic
1290#103C22×D6111yescharacteristic
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102C22×D6111yescharacteristic
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8C22×D6111yescharacteristic
1314C22⋊C8C22×D6111yescharacteristic
1315#97—611no—
1316#97—611no—
1317#97—611no—
1318#97C22×D6111yescharacteristic
1319C4×C8—611no—
1320C4×C8—611no—
1321C24—1221no—
1322C24—1221no—
1323#41—1222no—
1324#41—1224no—
1325#41—4882no—
1326#41—2441no—
1327C2×Q8—21no—
1328C2×Q8—611no—
1329C2×Q8—611no—
1330C2×Q8—611no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—1221no—
1335C2×Q8—1221no—
1336C2×Q8—1221no—
1337C2×Q8—1221no—
1338C2×Q8—1221no—
1339C2×Q8—1221no—
1340C2×Q8—4882no—
1341C2×Q8—4882no—
1342C2×Q8—4882no—
1343C2×Q8C23×D6111yescharacteristic
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—611no—
1347C2×D4—611no—
1348C2×D4—611no—
1349C2×D4—611no—
1350C2×D4—1222no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1222no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2444no—
1362C2×D4D4×D6111yescharacteristic
1363C2×D4C23×D6111yescharacteristic
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—4882no—
1389C22×C4—4882no—
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—2441no—
1393Q16—2441no—
1394SD16—41no—
1395SD16—1222no—
1396SD16—1222no—
1397SD16—2441no—
1398SD16—2441no—
1399SD16—2441no—
1400M16—41no—
1401M16—2441no—
1402C2×C8—41no—
1403C2×C8—611no—
1404C2×C8—611no—
1405C2×C8—611no—
1406C2×C8—611no—
1407C2×C8—2441no—
1408C2×C8—2441no—
1409C2×C8—2441no—
1410C2×C8C23×D6111yescharacteristic
1411C2×C8C23×D6111yescharacteristic
1412C2×C8C23×D6111yescharacteristic
1413C2×C8C23×D6111yescharacteristic
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
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⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4D4×D6111yescharacteristic
1464C4⋊C4C23×D6111yescharacteristic
1465C4⋊C4C23×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—611no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
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⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4D4×D6111yescharacteristic
1500C22⋊C4D4×D6111yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—611no—
1504C42—611no—
1505C42—611no—
1506C42—611no—
1507C42—611no—
1508C42—611no—
1509C42—611no—
1510C42—611no—
1511C42—611no—
1512C42—1221no—
1513C42—1221no—
1514C42—1221no—
1515C42—1221no—
1516C42—1221no—
1517C42—1221no—
1518C42—1221no—
1519C42C23×D6111yescharacteristic
1520C23—21no—
1521C23—611no—
1522C23—1221no—
1523C23—1221no—
1524C23—4881no—
1525C23—4881no—
1526C23—2442no—
1527C23—2442no—
1528C23—2442no—
1529C23—2442no—
1530C23C2×D4×D6111yescharacteristic
1531C23C2×D4×D6111yescharacteristic
1532Q8—21no—
1533Q8—21no—
1534Q8—81no—
1535Q8—1222no—
1536Q8—1221no—
1537Q8—1221no—
1538Q8—1221no—
1539Q8—1221no—
1540Q8—4881no—
1541Q8—4881no—
1542Q8—4881no—
1543Q8—4881no—
1544Q8—4881no—
1545Q8—4881no—
1546Q8—2442no—
1547Q8—2442no—
1548Q8—2442no—
1549D4—22no—
1550D4—21no—
1551D4—21no—
1552D4—42no—
1553D4—81no—
1554D4—614no—
1555D4—612no—
1556D4—1222no—
1557D4—1221no—
1558D4—1221no—
1559D4—1221no—
1560D4—4881no—
1561D4—4881no—
1562D4—2442no—
1563D4—2442no—
1564D4—2442no—
1565D4—2442no—
1566D4—2442no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—611no—
1583C2×C4—611no—
1584C2×C4—611no—
1585C2×C4—611no—
1586C2×C4—611no—
1587C2×C4—611no—
1588C2×C4—611no—
1589C2×C4—1222no—
1590C2×C4—1222no—
1591C2×C4—1222no—
1592C2×C4—1222no—
1593C2×C4—1222no—
1594C2×C4—1222no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—4881no—
1604C2×C4—4881no—
1605C2×C4—4881no—
1606C2×C4—4881no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—2442no—
1612C2×C4—2442no—
1613C2×C4—2442no—
1614C2×C4—2442no—
1615C2×C4—2442no—
1616C2×C4C2×D4×D6111yescharacteristic
1617C2×C4C2×D4×D6111yescharacteristic
1618C2×C4C2×D4×D6111yescharacteristic
1619C2×C4C2×D4×D6111yescharacteristic
1620C2×C4C24×D6111yescharacteristic
1621C8—21no—
1622C8—21no—
1623C8—21no—
1624C8—21no—
1625C8—1221no—
1626C8—1221no—
1627C8—1221no—
1628C8—1221no—
1629C22—21no—
1630C22—21no—
1631C22—21no—
1632C22—21no—
1633C22—21no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—612no—
1638C22—1221no—
1639C22—1221no—
1640C22—1222no—
1641C22—4884no—
1642C22—4884no—
1643C22—2441no—
1644C22—2441no—
1645C22—2441no—
1646C22—2441no—
1647C22—2441no—
1648C22#137×D6112yes—
1649C22C22×D4×D6111yescharacteristic
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—612no—
1662C4—612no—
1663C4—1221no—
1664C4—1221no—
1665C4—1221no—
1666C4—1221no—
1667C4—1221no—
1668C4—2441no—
1669C4—2441no—
1670C4—2441no—
1671C4—2441no—
1672C4—2441no—
1673C4—2441no—
1674C42−1+4×D6111yescharacteristic
1675C4#1684059811yescharacteristic
1676C2—22no—
1677C2—41no—
1678C2—81no—
1679C2—1222no—
1680C2—4881no—
1681C2—2442no—
1682C2#2145949311yescharacteristic
1683C2C2×#137×D6111yescharacteristic
1684C2#576×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3346C2
socleC22×C61C23×D4
prime radical#21459426C2
hypercenter#3346D61
hypocenterC61#62127
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #21459633C2semidirect
3. #21458732C2semidirect
4. #21458726C2semidirect
5. #21458636C2semidirect
6. #21458634C2semidirect
7. #21458305C2semidirect
8. #21458304C2semidirect
9. #21458297C2semidirect
10. #21458209C2semidirect
11. #21458206C2semidirect
12. #21457903C2semidirect
13. #21457902C2semidirect
14. #21457895C2semidirect
15. #21457894C2semidirect
16. #21457641C2semidirect
17. #21457638C2semidirect
18. #21457201C2semidirect
19. #21457155C2semidirect
20. #21457149C2semidirect
21. #21457050C2semidirect
22. #21457047C2semidirect
23. #21456938C2semidirect
24. #21455916C2semidirect
25. #21455915C2semidirect
26. #21455885C2semidirect
27. #21455632C2semidirect
28. C2×#16840041C2semidirect
29. #474×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3346C2semidirect
33. Q8×Dic122C22semidirect
34. #16840492C22semidirect
37. #16840470C22semidirect
38. #16840469C22semidirect
42. #16840467C22semidirect
57. #16840316C22semidirect
58. #16840314C22semidirect
59. #16840314C22semidirect
61. C2×#14519776C22semidirect
62. C2×#14519776C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840169C22semidirect
77. #16840169C22semidirect
78. #16840166C22semidirect
79. #16840166C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
86. #16840103C22semidirect
87. #16840099C22semidirect
88. #16840099C22semidirect
89. #16840099C22semidirect
90. #16840098C22semidirect
91. #16840097C22semidirect
92. #16840097C22semidirect
93. #16840096C22semidirect
97. #16840076C22semidirect
98. #16840075C22semidirect
99. #16840073C22semidirect
100. #16840072C22semidirect
101. #16840071C22semidirect
102. #16840066C22semidirect
103. #16840056C22semidirect
104. #16840056C22semidirect
105. #16840056C22semidirect
106. #16840055C22semidirect
109. #16840046C22semidirect
110. #16840046C22semidirect
111. #16840046C22semidirect
113. #16840042C22semidirect
119. #16840041C22semidirect
120. #16840041C22semidirect
121. #16840041C22semidirect
122. #16840041C22semidirect
123. #16840041C22semidirect
124. #16840040C22semidirect
125. #16840040C22semidirect
126. #16840040C22semidirect
128. #16840010C22semidirect
129. #16840008C22semidirect
130. #16840006C22semidirect
131. #16840004C22semidirect
132. #16840003C22semidirect
133. #16840002C22semidirect
134. #16840001C22semidirect
138. #16839985C22semidirect
139. #16839984C22semidirect
140. #16839983C22semidirect
141. #16839982C22semidirect
142. #16839971C22semidirect
144. #16839966C22semidirect
145. #16839965C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
157. #16839865C22semidirect
159. #16839862C22semidirect
161. #16839861C22semidirect
163. #16839856C22semidirect
164. #16839854C22semidirect
167. #16839836C22semidirect
168. #16839834C22semidirect
169. #16839831C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. C2×#14519710C22semidirect
177. #107×D61C22semidirect
178. #107×D61C22semidirect
179. #16839785C22semidirect
180. C2×#14519706C22semidirect
181. C4⋊C8×D61C22semidirect
188. C61×#554C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
194. C61×#480C22semidirect
195. C61×#479C22semidirect
196. C61×#474C22semidirect
197. C61×#468C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C2×#107×C61C22semidirect
843. #3346D61semidirect
885. #554C2×D61semidirect
922. #501C2×D61semidirect
932. #485C2×D61semidirect
940. #484C2×D61semidirect
948. #480C2×D61semidirect
952. #479C2×D61semidirect
978. #474C2×D61semidirect
982. #468C2×D61semidirect
1016. #440C2×D61semidirect
1024. #435C2×D61semidirect
1031. #428C2×D61semidirect
1035. C2×#107C2×D61semidirect
1045. C61#62127semidirect

Maximal subgroups

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

subgroupindex
#214596332
#214594262
#214587322
#214587262
#214586362
#214586342
#214583052
#214583042
#214582972
#214582092
#214582062
#214579032
#214579022
#214578952
#214578942
#214576412
#214576382
#214572012
#214571552
#214571492
#214570502
#214570472
#214569382
#214559162
#214559152
#214558852
#214556322
C2×#168400412
#474×D612
#214549392
C61×#33462
#6212761