Finite Group Databasebeta

← #30564629

Subgroups — #30564629

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459911C211yesmaximal, characteristic, complemented
2#21459821C211yesmaximal, characteristic
3#21458797C211yesmaximal, characteristic, complemented
4#21458707C211yesmaximal, characteristic, complemented
5#21458619C211yesmaximal, characteristic, complemented
6#21458545C211yesmaximal, characteristic, complemented
7#21458398C211yesmaximal, characteristic, complemented
8#21458378C211yesmaximal, characteristic, complemented
9#21458374C211yesmaximal, characteristic, complemented
10#21457996C211yesmaximal, characteristic, complemented
11#21457989C211yesmaximal, characteristic, complemented
12#21457951C211yesmaximal, characteristic, complemented
13#21457944C211yesmaximal, characteristic, complemented
14#21457753C211yesmaximal, characteristic, complemented
15#21457679C211yesmaximal, characteristic, complemented
16#21457484C211yesmaximal, characteristic, complemented
17#21457482C211yesmaximal, characteristic, complemented
18#21457482C211yesmaximal, characteristic, complemented
19#21456534C211yesmaximal, characteristic, complemented
20#21456445C211yesmaximal, characteristic, complemented
21#21456107C211yesmaximal, characteristic, complemented
22#21456105C211yesmaximal, characteristic, complemented
23#21456029C211yesmaximal, characteristic, complemented
24#21456027C211yesmaximal, characteristic, complemented
25#21455886C211yesmaximal, characteristic, complemented
26#21455848C211yesmaximal, characteristic, complemented
27#21454819C211yesmaximal, characteristic, complemented
28#21454664C211yesmaximal, characteristic, complemented
29#21454659C211yesmaximal, characteristic, complemented
30#21454641C211yesmaximal, characteristic, complemented
31C61×#3174C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35#16840489—21no—
36#16840489C2211yescharacteristic
37#16840489C2211yescharacteristic
38#16840487C2211yescharacteristic
39#16840483C2211yescharacteristic
40#16840479—21no—
41#16840465C2211yescharacteristic
42#16840464C2211yescharacteristic
43#16840457—21no—
44#16840455—21no—
45#16840450C2211yescharacteristic
46#16840448—21no—
47#16840446C2211yescharacteristic
48#16840444—21no—
49#16840432C2211yescharacteristic
50#16840432C2211yescharacteristic
51#16840430—21no—
52#16840430C2211yescharacteristic
53#16840430C2211yescharacteristic
54#16840427C2211yescharacteristic
55#16840425C2211yescharacteristic
56#16840425C2211yescharacteristic
57#16840412C2211yescharacteristic
58#16840410—21no—
59#16840371—21no—
60#16840370C2211yescharacteristic
61#16840369—21no—
62#16840364—21no—
63#16840363C2211yescharacteristic
64#16840362—21no—
65#16840318—21no—
66#16840316C2211yescharacteristic
67#16840309C2211yescharacteristic
68#16840307—21no—
69#16840295—21no—
70#16840290C2211yescharacteristic
71#16840289—21no—
72#16840242C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic
75#16840238C2211yescharacteristic
76C4×#11758224C2211yescharacteristic
77C4×Q8×D61C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840133C2211yescharacteristic
81#16840133C2211yescharacteristic
82#16840129C2211yescharacteristic
83#16840125C2211yescharacteristic
84#16840111C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840106C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840096C2211yescharacteristic
89#16840095C2211yescharacteristic
90#16840094C2211yescharacteristic
91#16840090C2211yescharacteristic
92#16840088C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840083C2211yescharacteristic
95#16840083C2211yescharacteristic
96#16840082C2211yescharacteristic
97#16840079C2211yescharacteristic
98#16840072C2211yescharacteristic
99#16840072C2211yescharacteristic
100#16840067C2211yescharacteristic
101#16840066C2211yescharacteristic
102#16840066C2211yescharacteristic
103#16840066C2211yescharacteristic
104#16840060C2211yescharacteristic
105#16840059C2211yescharacteristic
106#16840046C2211yescharacteristic
107#16840046C2211yescharacteristic
108#16840045C2211yescharacteristic
109#16840040C2211yescharacteristic
110#16840011C2211yescharacteristic
111#16840009C2211yescharacteristic
112#16840009C2211yescharacteristic
113#16840007C2211yescharacteristic
114#16840005C2211yescharacteristic
115#16840005C2211yescharacteristic
116#16839994C2211yescharacteristic
117#16839990C2211yescharacteristic
118#16839971C2211yescharacteristic
119#16839971C2211yescharacteristic
120#16839969C2211yescharacteristic
121#16839965C2211yescharacteristic
122#16839965C2211yescharacteristic
123#16839964C2211yescharacteristic
124#16839961C2211yescharacteristic
125#16839961C2211yescharacteristic
126#16839960C2211yescharacteristic
127#16839960C2211yescharacteristic
128#16839959C2211yescharacteristic
129#16839959C2211yescharacteristic
130#16839925C2211yescharacteristic
131#16839925C2211yescharacteristic
132#16839922C2211yescharacteristic
133#16839922C2211yescharacteristic
134#16839921C2211yescharacteristic
135#16839921C2211yescharacteristic
136#16839902C2211yescharacteristic
137#16839902C2211yescharacteristic
138#16839900C2211yescharacteristic
139#16839900C2211yescharacteristic
140#16839899C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839890C2211yescharacteristic
143C8×Dic122C2211yescharacteristic
144#16839870C2211yescharacteristic
145#16839870C2211yescharacteristic
146#16839867C2211yescharacteristic
147#16839866C2211yescharacteristic
148#16839864C2211yescharacteristic
149#16839864C2211yescharacteristic
150#16839862C2211yescharacteristic
151#16839862C2211yescharacteristic
152#16839860C2211yescharacteristic
153#16839859C2211yescharacteristic
154C4×Dic244C2211yescharacteristic
155C4×Dic244C2211yescharacteristic
156#16839856C2211yescharacteristic
157#16839856C2211yescharacteristic
158C4×#11758202C2211yescharacteristic
159#16839854C2211yescharacteristic
160#16839853C2211yescharacteristic
161C4×#11758190C2211yescharacteristic
162C4×#11758190C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164SD16×Dic61C2211yescharacteristic
165C4×#11758201C2211yescharacteristic
166C4×#11758200C2211yescharacteristic
167C4×#11758200C2211yescharacteristic
168#16839841C2211yescharacteristic
169#16839838C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839835C2211yescharacteristic
172#16839833C2211yescharacteristic
173C8×C22⋊D61C2211yescharacteristic
174#16839823C2211yescharacteristic
175#16839821C2211yescharacteristic
176#16839813C2211yescharacteristic
177#16839804C2211yescharacteristic
178#16839803C2211yescharacteristic
179#16839803C2211yescharacteristic
180#16839769C2211yescharacteristic
181#16839760C2211yescharacteristic
182#16839759C2211yescharacteristic
183#16839755C2211yescharacteristic
184C2×#14519702C2211yescharacteristic
185#103×D61C2211yescharacteristic
186#16839719C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#541C2211yescharacteristic
189C61×#540C2211yescharacteristic
190C61×#499C2211yescharacteristic
191C61×#492C2211yescharacteristic
192C61×#491C2211yescharacteristic
193C61×#490C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#465C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#440C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic
202C61×#405C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758224—21no—
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C22×Dic122C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C2×Q8×D61C2311yescharacteristic
212#14519810—24no—
213#14519806—24no—
214#14519806—24no—
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227C2×#11758189C2311yescharacteristic
228C2×#11758189C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519776—21no—
232#14519776—21no—
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519775C2311yescharacteristic
239#14519775C2311yescharacteristic
240#14519773—21no—
241#14519773—21no—
242#14519773—21no—
243#14519773C2311yescharacteristic
244#14519773C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772D411yescharacteristic
250#14519771—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770D411yescharacteristic
255#14519769—21no—
256#14519768—21no—
257#14519768—21no—
258#14519768C2311yescharacteristic
259#14519768C2311yescharacteristic
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767D411yescharacteristic
270#14519763—21no—
271#14519763—21no—
272#14519763D411yescharacteristic
273#14519762—21no—
274#14519762—21no—
275#14519762D411yescharacteristic
276#14519761—21no—
277#14519760—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759D411yescharacteristic
282#14519758—21no—
283#14519757C2311yescharacteristic
284#14519757C2311yescharacteristic
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519755D411yescharacteristic
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519753C2311yescharacteristic
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519751—21no—
300#14519750—21no—
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519750D411yescharacteristic
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519748—21no—
313#14519748C2311yescharacteristic
314#14519748C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341C4×D244C2311yescharacteristic
342D4×Dic61—21no—
343D4×Dic61—21no—
344D4×Dic61C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346#14519739—21no—
347#14519739—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61C2311yescharacteristic
352C4×C22⋊D61C2311yescharacteristic
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519736C2311yescharacteristic
362#14519735—21no—
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519735C2311yescharacteristic
367#14519735C2311yescharacteristic
368#14519734—21no—
369#14519734—21no—
370#14519734C2311yescharacteristic
371#14519733—21no—
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375C2×C4⋊Dic61C2311yescharacteristic
376C2×#11758196—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61—21no—
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C2×C4×Dic61—21no—
382C42×D61—21no—
383C42×D61C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519687C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445#127×C61C2311yescharacteristic
446#126×C61—21no—
447#126×C61—21no—
448#125×C61—21no—
449#125×C61—21no—
450#125×C61C2311yescharacteristic
451#125×C61C2311yescharacteristic
452#123×C61—21no—
453#123×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455C22⋊Q8×C61C2311yescharacteristic
456#121×C61—21no—
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
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⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61C2×D411yescharacteristic
502C2×C22⋊D61C2×D411yescharacteristic
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509Q8×D61—22no—
510Q8×D61—22no—
511Q8×D61—41no—
512Q8×D61—41no—
513#11758224—22no—
514#11758224—22no—
515#11758224—41no—
516#11758224—41no—
517#11758224—82no—
518#11758224—82no—
519#11758222—22no—
520#11758222—41no—
521#11758222—82no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244C2×D411yescharacteristic
525C2×D244C2411yescharacteristic
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×C4×D61C2411yescharacteristic
537C2×Dic122—22no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—41no—
544C2×Dic122C2×D411yescharacteristic
545C2×Dic122C2411yescharacteristic
546C2×Dic122C2411yescharacteristic
547C2×Dic122C2411yescharacteristic
548SD16×C61—22no—
549SD16×C61—22no—
550SD16×C61—41no—
551SD16×C61—41no—
552M16×C61—22no—
553C2×C8×C61—41no—
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
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×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61C2×D411yescharacteristic
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61C2×D411yescharacteristic
581C22⋊C4×C61C2×D411yescharacteristic
582C42×C61—21no—
583C42×C61—21no—
584C42×C61C2411yescharacteristic
585C42×C61C2411yescharacteristic
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593#11758202—22no—
594#11758202—22no—
595#11758201—41no—
596#11758201—41no—
597#11758200—22no—
598#11758200—22no—
599#11758200—41no—
600#11758200—41no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681Dic244—22no—
682Dic244#4114yescomplemented
683#11758190—22no—
684#11758190—22no—
685#11758189—22no—
686#11758189—22no—
687#11758189—41no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61C22×D411yescharacteristic
692C22×D61—21no—
693C22×D61C22×D411yescharacteristic
694C22×D61C22×D411yescharacteristic
695Q8×C61—21no—
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—81no—
704D4×C61—81no—
705D4×C61—81no—
706D4×C61—81no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—81no—
716C2×C4×C61—81no—
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C2511yescharacteristic
723C22⋊D61—22no—
724C22⋊D61—41no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C22⋊D61—81no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—42no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753D244—21no—
754D244—21no—
755D244—41no—
756D244—81no—
757D244—81no—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—21no—
762C4×D61—22no—
763C4×D61—41no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—42no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771Dic122—21no—
772Dic122—21no—
773Dic122—22no—
774Dic122—21no—
775Dic122—21no—
776Dic122—42no—
777Dic122—42no—
778Dic122—42no—
779Dic122—42no—
780Dic122—42no—
781Dic122C2×#4112yes—
782Dic122C2×#4112yes—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61C2×#4112yes—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#92418—21no—
791#61556—611nomaximal, Sylow
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61C23×D411yescharacteristic
802C2×D61—21no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C22×#4111yescharacteristic
823C4×C61#58511yescharacteristic
824Dic61—21no—
825Dic61—21no—
826Dic61—22no—
827Dic61—22no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—41no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61#57712yes—
837#3523—611no—
838#3517—611no—
839#3392—611no—
840#3383—611no—
841#3374—611no—
842#3368—611no—
843#3353—611no—
844#3351—611no—
845#3351—611no—
846#3320—611no—
847#3320—611no—
848#3317—611no—
849#3317—611no—
850#3304—611no—
851#3298—611no—
852#3278—611no—
853#3278—611no—
854#3278—611no—
855#3182—611no—
856#3174—611no—
857#3174D6111yescharacteristic, complemented
858#3126—611no—
859#3126—611no—
860#3120—611no—
861#3120—611no—
862#3107—611no—
863#3103—611no—
864#2969—611no—
865#2947—611no—
866#2947—611no—
867C4×#137—611no—
868C2×C61—41no—
869C2×C61—81no—
870C2×C61—81no—
871C2×C61D4×#4111yescharacteristic
872C2×C61C2×#57711yescharacteristic
873C2×C61#358611yescharacteristic
874D61—41no—
875D61—41no—
876D61—81no—
877C2×#137—611no—
878C2×#137—611no—
879C2×#137—611no—
880#557—611no—
881#557—611no—
882#557—611no—
883#557—1221no—
884#556—611no—
885#556—1221no—
886#553—611no—
887#553—611no—
888#553—1221no—
889#553—1221no—
890#552—611no—
891#552—611no—
892#552—1221no—
893#552—1221no—
894#550—611no—
895#550—611no—
896#550—611no—
897#550—611no—
898#550—1221no—
899D4×Q8—611no—
900D4×Q8—611no—
901D4×Q8—611no—
902#547—611no—
903#547—1221no—
904#541—611no—
905#541—1221no—
906#541—1221no—
907#541C2×D6111yescharacteristic
908#540—611no—
909#540—1221no—
910#540—1221no—
911#540C2×D6111yescharacteristic
912#533—611no—
913#533—1221no—
914#532—611no—
915#532—1221no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#520—611no—
920#520—611no—
921#519—611no—
922#519—611no—
923C4×#41—611no—
924C2×C4×Q8—611no—
925#500—611no—
926#499—611no—
927#499C2×D6111yescharacteristic
928#492—611no—
929#492—611no—
930#492C2×D6111yescharacteristic
931#491—611no—
932#491C2×D6111yescharacteristic
933#490—611no—
934#490C2×D6111yescharacteristic
935#487—611no—
936#486—611no—
937#485—611no—
938#485—611no—
939#484—611no—
940#484—611no—
941#483—611no—
942#483—611no—
943#482—611no—
944#482—611no—
945#482—611no—
946#482—611no—
947#481—611no—
948#481—611no—
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#475—611no—
958#475—611no—
959#475—611no—
960#474—611no—
961#468—611no—
962#468—611no—
963#468—611no—
964#468—611no—
965#468—611no—
966#468—611no—
967#468C2×D6111yescharacteristic
968#468C2×D6111yescharacteristic
969#465—611no—
970#465—611no—
971#465C2×D6111yescharacteristic
972#465C2×D6111yescharacteristic
973#462—611no—
974#462—611no—
975#462—611no—
976#461—611no—
977#461—611no—
978#461—611no—
979#460—611no—
980#460—611no—
981#460—611no—
982#460—611no—
983#460—611no—
984#460—611no—
985#452—611no—
986#452—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#448—611no—
992#448—611no—
993#448—611no—
994#448—611no—
995#448—611no—
996#448—611no—
997#446—611no—
998C8×Q8—611no—
999#441—611no—
1000#441—611no—
1001#441—611no—
1002#441—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440C2×D6111yescharacteristic
1010#440C2×D6111yescharacteristic
1011C4×Q16—611no—
1012C4×Q16—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16C2×D6111yescharacteristic
1026C4×SD16C2×D6111yescharacteristic
1027#436—611no—
1028#436—611no—
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033#433—611no—
1034#433—611no—
1035#431—611no—
1036#428—611no—
1037#428—611no—
1038#428—611no—
1039#419—611no—
1040#417—611no—
1041#416—611no—
1042#416—611no—
1043C2×#103—611no—
1044C2×#103—611no—
1045#405—611no—
1046#405C2×D6111yescharacteristic
1047C4×M16—611no—
1048C61#6155611yescharacteristic, complemented, Sylow
1049C2×#41—611no—
1050C2×#41—611no—
1051C2×#41—611no—
1052C2×#41—1221no—
1053C2×#41—1221no—
1054C2×#41—1221no—
1055C22×Q8—611no—
1056C22×Q8—611no—
1057C22×Q8—611no—
1058#137—1224no—
1059#137—1224no—
1060#137—1224no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×Q16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16C22×D6111yescharacteristic
1074C2×SD16C22×D6111yescharacteristic
1075C2×SD16C22×D6111yescharacteristic
1076C2×SD16C22×D6111yescharacteristic
1077C2×M16—611no—
1078C2×M16—611no—
1079C2×M16—611no—
1080C2×M16C22×D6111yescharacteristic
1081C22×C8—611no—
1082C22×C8C22×D6111yescharacteristic
1083C4⋊Q8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—1221no—
1088C4⋊Q8—1221no—
1089C4⋊Q8—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8C22×D6111yescharacteristic
1093#127—611no—
1094#127—611no—
1095#127—1221no—
1096#127—1221no—
1097#127—1221no—
1098#127C22×D6111yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—611no—
1102#126—611no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#126—1221no—
1111#125—21no—
1112#125—21no—
1113#125—611no—
1114#125—611no—
1115#125—611no—
1116#125—1221no—
1117#125—1221no—
1118#125—1221no—
1119#125—1221no—
1120#125—1221no—
1121#125—1221no—
1122#125—1221no—
1123#125—1221no—
1124#125—1221no—
1125#125—1221no—
1126#125—1221no—
1127#125—1221no—
1128#125C22×D6111yescharacteristic
1129#125C22×D6111yescharacteristic
1130#124—611no—
1131#124—1221no—
1132#124—1221no—
1133#123—21no—
1134#123—21no—
1135#123—611no—
1136#123—611no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8C22×D6111yescharacteristic
1159C22⋊Q8C22×D6111yescharacteristic
1160#121—21no—
1161#121—21no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121C22×D6111yescharacteristic
1182#121C22×D6111yescharacteristic
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—1221no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8—1221no—
1206C4×Q8—1221no—
1207C4×Q8C22×D6111yescharacteristic
1208C4×Q8C22×D6111yescharacteristic
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4C22×D6111yescharacteristic
1232C4×D4C22×D6111yescharacteristic
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117C22×D6111yescharacteristic
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—1221no—
1252C2×C4⋊C4—1221no—
1253C2×C4⋊C4—1221no—
1254C2×C42—611no—
1255C2×C42—1221no—
1256C2×C42—1221no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107C22×D6111yescharacteristic
1264#107C22×D6111yescharacteristic
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106C22×D6111yescharacteristic
1272#106C22×D6111yescharacteristic
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—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#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#103C22×D6111yescharacteristic
1298#103C22×D6111yescharacteristic
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317#97—611no—
1318#97—611no—
1319#97C22×D6111yescharacteristic
1320#97C22×D6111yescharacteristic
1321C4×C8—611no—
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8C22×D6111yescharacteristic
1326C4×C8C22×D6111yescharacteristic
1327#41—1222no—
1328#41—1222no—
1329#41—1222no—
1330#41—4882no—
1331#41—4882no—
1332#41—4882no—
1333#41—2441no—
1334#41—2441no—
1335#41—2441no—
1336C2×Q8—611no—
1337C2×Q8—611no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—1221no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1222no—
1345C2×Q8—1221no—
1346C2×Q8—1222no—
1347C2×Q8—1222no—
1348C2×Q8—2441no—
1349C2×Q8—2441no—
1350C2×Q8—2441no—
1351C2×Q8C23×D6111yescharacteristic
1352C2×Q8C23×D6111yescharacteristic
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4C23×D6111yescharacteristic
1373C2×D4C23×D6111yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
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—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4C23×D6111yescharacteristic
1394Q16—614no—
1395Q16—1222no—
1396Q16—1222no—
1397Q16—1222no—
1398SD16—22no—
1399SD16—22no—
1400SD16—41no—
1401SD16—41no—
1402SD16—1222no—
1403SD16—1222no—
1404SD16—1222no—
1405SD16—1222no—
1406SD16—2441no—
1407SD16—2441no—
1408SD16—2441no—
1409SD16—2441no—
1410M16—22no—
1411M16—1222no—
1412M16—1222no—
1413M16—2441no—
1414C2×C8—41no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—611no—
1418C2×C8—611no—
1419C2×C8—2441no—
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C2×C8C23×D6111yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
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⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4D4×D6111yescharacteristic
1476C4⋊C4D4×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C4⋊C4C23×D6111yescharacteristic
1479C4⋊C4C23×D6111yescharacteristic
1480C4⋊C4C23×D6111yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—611no—
1492C22⋊C4—611no—
1493C22⋊C4—611no—
1494C22⋊C4—611no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4D4×D6111yescharacteristic
1511C22⋊C4D4×D6111yescharacteristic
1512C42—21no—
1513C42—21no—
1514C42—611no—
1515C42—611no—
1516C42—611no—
1517C42—611no—
1518C42—1221no—
1519C42—1221no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C42C23×D6111yescharacteristic
1535C23—21no—
1536C23—21no—
1537C23—611no—
1538C23—611no—
1539C23—1221no—
1540C23C2×D4×D6111yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—612no—
1546Q8—612no—
1547Q8—1222no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—2442no—
1553Q8—2442no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—1222no—
1566D4—1221no—
1567D4—1221no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—2441no—
1576D4—2442no—
1577D4—2441no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—611no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—1222no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—2441no—
1615C2×C4—2442no—
1616C2×C4—2442no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8#41×D6112yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1221no—
1650C22—1221no—
1651C22—1221no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22C22×D4×D6111yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—612no—
1668C4—1221no—
1669C4—1221no—
1670C4—1221no—
1671C4—1222no—
1672C4—1222no—
1673C4—1221no—
1674C4—1221no—
1675C4—2441no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4C2×#41×D6111yescharacteristic
1681C4#1684059811yescharacteristic
1682C2—41no—
1683C2—81no—
1684C2—81no—
1685C2—4881no—
1686C2—2441no—
1687C2—2441no—
1688C2#2145930511yescharacteristic
1689C2#577×D6111yescharacteristic
1690C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3174C2
socleC22×C61C23×D4
prime radical#21459821C2
hypercenter#3174D61
hypocenterC61#61556
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3174

Complements

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

NH ≅ G/Ntype
1. #21459911C2semidirect
3. #21458797C2semidirect
4. #21458707C2semidirect
5. #21458619C2semidirect
6. #21458545C2semidirect
7. #21458398C2semidirect
8. #21458378C2semidirect
9. #21458374C2semidirect
10. #21457996C2semidirect
11. #21457989C2semidirect
12. #21457951C2semidirect
13. #21457944C2semidirect
14. #21457753C2semidirect
15. #21457679C2semidirect
16. #21457484C2semidirect
17. #21457482C2semidirect
18. #21457482C2semidirect
19. #21456534C2semidirect
20. #21456445C2semidirect
21. #21456107C2semidirect
22. #21456105C2semidirect
23. #21456029C2semidirect
24. #21456027C2semidirect
25. #21455886C2semidirect
26. #21455848C2semidirect
27. #21454819C2semidirect
28. #21454664C2semidirect
29. #21454659C2semidirect
30. #21454641C2semidirect
31. C61×#3174C2semidirect
682. Dic244#41semidirect
857. #3174D61semidirect
1048. C61#61556semidirect

Maximal subgroups

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

subgroupindex
#214599112
#214598212
#214587972
#214587072
#214586192
#214585452
#214583982
#214583782
#214583742
#214579962
#214579892
#214579512
#214579442
#214577532
#214576792
#214574842
#214574822
#214565342
#214564452
#214561072
#214561052
#214560292
#214560272
#214558862
#214558482
#214548192
#214546642
#214546592
#214546412
C61×#31742
#6155661