Finite Group Databasebeta

← #30563032

Subgroups — #30563032

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459919C211yesmaximal, characteristic, complemented
2#21459888C211yesmaximal, characteristic, complemented
3#21458892C211yesmaximal, characteristic, complemented
4#21458757C211yesmaximal, characteristic, complemented
5#21458509C211yesmaximal, characteristic, complemented
6#21458480C211yesmaximal, characteristic, complemented
7#21458377C211yesmaximal, characteristic, complemented
8#21458353C211yesmaximal, characteristic, complemented
9#21458319C211yesmaximal, characteristic, complemented
10#21457753C211yesmaximal, characteristic, complemented
11#21457723C211yesmaximal, characteristic, complemented
12#21457712C211yesmaximal, characteristic, complemented
13#21457670C211yesmaximal, characteristic, complemented
14#21457655C211yesmaximal, characteristic, complemented
15#21457448C211yesmaximal, characteristic, complemented
16#21457370C211yesmaximal, characteristic, complemented
17#21457363C211yesmaximal, characteristic, complemented
18#21456497C211yesmaximal, characteristic, complemented
19#21456494C211yesmaximal, characteristic, complemented
20#21456382C211yesmaximal, characteristic, complemented
21#21456051C211yesmaximal, characteristic, complemented
22#21456030C211yesmaximal, characteristic, complemented
23#21456019C211yesmaximal, characteristic, complemented
24#21456008C211yesmaximal, characteristic, complemented
25#21455931C211yesmaximal, characteristic, complemented
26#21455921C211yesmaximal, characteristic, complemented
27#21454787C211yesmaximal, characteristic, complemented
28#21454665C211yesmaximal, characteristic, complemented
29#21454644C211yesmaximal, characteristic, complemented
30#21454587C211yesmaximal, characteristic, complemented
31C61×#3303C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519797C2211yescharacteristic
35#16840495C2211yescharacteristic, complemented
36#16840494—21no—
37#16840487C2211yescharacteristic, complemented
38#16840486C2211yescharacteristic
39#16840483C2211yescharacteristic
40#16840474—21no—
41#16840471C2211yescharacteristic
42#16840458C2211yescharacteristic
43#16840456C2211yescharacteristic
44#16840455—21no—
45#16840455—21no—
46#16840454C2211yescharacteristic
47#16840451C2211yescharacteristic
48#16840447—21no—
49#16840445—21no—
50#16840435—21no—
51#16840435—21no—
52#16840430C2211yescharacteristic
53#16840421C2211yescharacteristic, complemented
54#16840418C2211yescharacteristic
55#16840400C2211yescharacteristic
56#16840400C2211yescharacteristic
57#16840386C2211yescharacteristic
58#16840385C2211yescharacteristic
59#16840376—21no—
60#16840373C2211yescharacteristic
61#16840365C2211yescharacteristic, complemented
62#16840362—21no—
63#16840356—21no—
64#16840349—21no—
65#16840298C2211yescharacteristic
66#16840293C2211yescharacteristic, complemented
67#16840292C2211yescharacteristic
68#16840291—21no—
69#16840290—21no—
70#16840289—21no—
71C2×#14519772—21no—
72#16840245C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic, complemented
75#16840234C2211yescharacteristic
76#41×Dic61C2211yescharacteristic
77#16840230C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840168C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840154C2211yescharacteristic, complemented
82#16840148C2211yescharacteristic
83#16840143C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840117C2211yescharacteristic, complemented
87#16840115C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic, complemented
89#16840106C2211yescharacteristic
90#16840104C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic
92#16840091C2211yescharacteristic
93#16840088C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840083C2211yescharacteristic, complemented
97#16840081C2211yescharacteristic, complemented
98#16840073C2211yescharacteristic, complemented
99#16840072C2211yescharacteristic, complemented
100#16840070C2211yescharacteristic, complemented
101#16840067C2211yescharacteristic, complemented
102#16840067C2211yescharacteristic, complemented
103#16840065C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic
105#16840062C2211yescharacteristic, complemented
106#16840060C2211yescharacteristic
107#16840056C2211yescharacteristic, complemented
108#16840046C2211yescharacteristic, complemented
109#16840039C2211yescharacteristic
110#16840019C2211yescharacteristic
111#16840013C2211yescharacteristic
112#16840011C2211yescharacteristic
113#16840010C2211yescharacteristic, complemented
114#16840002C2211yescharacteristic
115#16840001C2211yescharacteristic, complemented
116#16839998C2211yescharacteristic
117#16839996C2211yescharacteristic
118#16839994C2211yescharacteristic
119#16839991C2211yescharacteristic
120#16839987C2211yescharacteristic
121#16839987C2211yescharacteristic
122#16839987C2211yescharacteristic
123#16839982C2211yescharacteristic, complemented
124#16839980C2211yescharacteristic
125#16839978C2211yescharacteristic
126#16839977C2211yescharacteristic
127#16839975C2211yescharacteristic
128#16839969C2211yescharacteristic, complemented
129#16839960C2211yescharacteristic, complemented
130#16839955C2211yescharacteristic
131#16839924C2211yescharacteristic
132#16839922C2211yescharacteristic, complemented
133#16839921C2211yescharacteristic
134#16839921C2211yescharacteristic
135#16839917C2211yescharacteristic, complemented
136#16839914C2211yescharacteristic
137#16839909C2211yescharacteristic
138#16839907C2211yescharacteristic
139#16839903C2211yescharacteristic
140#16839897C2211yescharacteristic
141#16839891C2211yescharacteristic, complemented
142C8×Dic122C2211yescharacteristic, complemented
143#16839874C2211yescharacteristic
144#16839873C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839866C2211yescharacteristic, complemented
147#16839866C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839865C2211yescharacteristic, complemented
150#16839863C2211yescharacteristic, complemented
151#16839862C2211yescharacteristic
152#16839861C2211yescharacteristic
153#16839859C2211yescharacteristic
154#16839859C2211yescharacteristic
155#16839854C2211yescharacteristic, complemented
156#16839854C2211yescharacteristic, complemented
157#16839854C2211yescharacteristic, complemented
158#16839854C2211yescharacteristic, complemented
159#16839853C2211yescharacteristic
160#16839853C2211yescharacteristic
161#16839853C2211yescharacteristic
162C4×#11758190C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic
165#16839847C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic, complemented
167#16839842C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839842C2211yescharacteristic
170#16839837C2211yescharacteristic
171#16839834C2211yescharacteristic, complemented
172#16839830C2211yescharacteristic
173C8×C22⋊D61C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic
175#16839822C2211yescharacteristic
176#16839820C2211yescharacteristic, complemented
177#16839816C2211yescharacteristic, complemented
178#16839805C2211yescharacteristic, complemented
179#16839803C2211yescharacteristic
180#16839798C2211yescharacteristic, complemented
181#16839759C2211yescharacteristic, complemented
182#16839755C2211yescharacteristic
183C2×#14519702C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#16839717C2211yescharacteristic, complemented
186#16839716C2211yescharacteristic
187C2×C8×Dic61C2211yescharacteristic, complemented
188C61×#555C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic
190C61×#487C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#485C2211yescharacteristic, complemented
193C61×#476C2211yescharacteristic
194C61×#465C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#461C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic
198C61×#449C2211yescharacteristic
199C4×D8×C61C2211yescharacteristic
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C2×D4×D61C2311yescharacteristic
207#14519807—24no—
208#14519801—24no—
209#14519797—24no—
210C2×#11758202C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×D488C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758194C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519775—21no—
229#14519773—21no—
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772D411yescharacteristic
242#14519771—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770D411yescharacteristic
247#14519769—21no—
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767D411yescharacteristic
258#14519766—21no—
259#14519766C2311yescharacteristic
260#14519766C2311yescharacteristic
261#14519765C2311yescharacteristic
262#14519764C2311yescharacteristic
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763D411yescharacteristic
269#14519762—21no—
270#14519761—21no—
271#14519761—21no—
272#14519761—21no—
273#14519761D411yescharacteristic
274#14519760—21no—
275#14519760—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759—21no—
283#14519758—21no—
284#14519758D411yescharacteristic
285#14519757—21no—
286#14519757—21no—
287#14519757C2311yescharacteristic
288#14519756—21no—
289#14519756C2311yescharacteristic
290#14519755—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754D411yescharacteristic
295#14519753—21no—
296#14519753C2311yescharacteristic
297#14519753C2311yescharacteristic
298#14519752C2311yescharacteristic
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519751C2311yescharacteristic
302#14519750—21no—
303#14519750—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749D411yescharacteristic
312#14519748—21no—
313#14519745—21no—
314#14519745—21no—
315Q8×Dic61—21no—
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324#14519742—21no—
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330C4×D244—21no—
331C4×D244C2311yescharacteristic
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61—21no—
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61C2311yescharacteristic
349C4×C22⋊D61C2311yescharacteristic
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519736—21no—
359#14519736—21no—
360#14519736C2311yescharacteristic
361#14519736C2311yescharacteristic
362#14519735—21no—
363#14519735—21no—
364#14519735C2311yescharacteristic
365#14519734—21no—
366#14519734—21no—
367#14519734C2311yescharacteristic
368#14519733—21no—
369#14519733—21no—
370#14519733—21no—
371#14519733—21no—
372#14519733—21no—
373C2×C4⋊Dic61—21no—
374C2×C4⋊Dic61C2311yescharacteristic
375C2×#11758196—21no—
376C2×#11758196—21no—
377C4⋊C4×D61C2311yescharacteristic
378C2×#11758198—21no—
379C2×#11758198—21no—
380C2×#11758198—21no—
381C22⋊C4×D61—21no—
382C2×C4×Dic61—21no—
383C2×C4×Dic61C2311yescharacteristic
384C42×D61—21no—
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×#41×C61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×D8×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C22×C8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic
447#124×C61—21no—
448#124×C61—21no—
449#123×C61—21no—
450#123×C61—21no—
451C22⋊Q8×C61C2311yescharacteristic
452C22⋊Q8×C61C2311yescharacteristic
453#121×C61—21no—
454#121×C61—21no—
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460#117×C61—21no—
461#117×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463C2×C4⋊C4×C61—21no—
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482#41×C61—22no—
483#41×C61—22no—
484#41×C61—41no—
485#41×C61—41no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61C2×D411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C2×D4×C61C2411yescharacteristic
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61C2×D411yescharacteristic
511C2×C22⋊D61C2×D411yescharacteristic
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61C2×D411yescharacteristic
520C22×Dic61C2×D411yescharacteristic
521#11758224—22no—
522#11758224—41no—
523D4×D61—22no—
524D4×D61—41no—
525#11758222—22no—
526#11758222—41no—
527C2×D244—21no—
528C2×D244C2411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61C2411yescharacteristic
537C2×Dic122—22no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—41no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—41no—
545SD16×C61—41no—
546D8×C61—22no—
547C2×C8×C61—41no—
548C2×C8×C61—41no—
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61C2×D411yescharacteristic
572C22⋊C4×C61C2×D411yescharacteristic
573C42×C61—21no—
574C42×C61—21no—
575C42×C61C2411yescharacteristic
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
586C22⋊Dic61C2×D411yescharacteristic
587C22⋊Dic61C2×D411yescharacteristic
588#11758202—22no—
589#11758202—22no—
590#11758202—22no—
591#11758202—41no—
592#11758201—22no—
593#11758201—41no—
594#11758200—22no—
595#11758200#4114yes—
596#11758199—22no—
597#11758199—22no—
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#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2×D411yescharacteristic
631C4⋊Dic61C2×D411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
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×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675#11758194—22no—
676C2×#92418—22no—
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681D488—41no—
682#11758190—22no—
683#11758190—41no—
684#11758189—22no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61C22×D411yescharacteristic
689C23×C61C22×D411yescharacteristic
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—42no—
693C22×D61—81no—
694C22×D61—81no—
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—81no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—41no—
705D4×C61—42no—
706D4×C61—42no—
707D4×C61—81no—
708D4×C61—81no—
709D4×C61C2×#4112yes—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—42no—
721C2×C4×C61—42no—
722C2×C4×C61—81no—
723C2×C4×C61—81no—
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C22×D411yescharacteristic
728C2×C4×C61C2511yescharacteristic
729C22⋊D61—41no—
730C22⋊D61—41no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—42no—
734C22⋊D61—81no—
735C22⋊D61—81no—
736C22⋊D61—81no—
737C22⋊D61—81no—
738C22⋊D61—81no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—41no—
746C2×Dic61—41no—
747C2×Dic61—42no—
748C2×Dic61—42no—
749C2×Dic61—81no—
750C2×Dic61—81no—
751C2×Dic61—81no—
752C2×Dic61—81no—
753C2×Dic61—81no—
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761D244—21no—
762D244—21no—
763D244—21no—
764D244—21no—
765D244—81no—
766C4×D61—21no—
767C4×D61—21no—
768C4×D61—42no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—41no—
778Dic122—42no—
779Dic122—81no—
780Dic122C2×#4112yes—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—22no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61C23×D411yescharacteristic
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61C22×#4111yescharacteristic
824C4×C61#58511yescharacteristic
825Dic61—21no—
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—22no—
832Dic61—21no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401—611no—
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347—611no—
847#3304—611no—
848#3303D6111yescharacteristic, complemented
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179—611no—
857#3178—611no—
858#3168—611no—
859#3121—611no—
860#3120—611no—
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—42no—
870C2×C61—41no—
871C2×C61—41no—
872C2×C61—81no—
873C2×C61D4×#4111yescharacteristic
874C2×C61#358411yescharacteristic
875C2×C61#358411yescharacteristic
876D61—41no—
877D61—81no—
878D61—81no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881C2×#135—611no—
882#559—611no—
883#559—1221no—
884#557—611no—
885#556—611no—
886#556—611no—
887#555—1221no—
888#555C2×D6111yescharacteristic, complemented
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547C2×D6111yescharacteristic
904#546—611no—
905#546—611no—
906#542—611no—
907#542—611no—
908#542—1221no—
909#541—611no—
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519—611no—
924#518—611no—
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501—611no—
929#499—611no—
930#497—611no—
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487C2×D6111yescharacteristic, complemented
938#486—611no—
939#485—611no—
940#485—611no—
941#485C2×D6111yescharacteristic, complemented
942#485C2×D6111yescharacteristic, complemented
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477—611no—
960#476C2×D6111yescharacteristic
961#475—611no—
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465C2×D6111yescharacteristic, complemented
974#465C2×D6111yescharacteristic, complemented
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#462—611no—
984#461C2×D6111yescharacteristic, complemented
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#451—611no—
992#450—611no—
993#449—611no—
994#449—611no—
995#449C2×D6111yescharacteristic
996#449C2×D6111yescharacteristic
997#448—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442—611no—
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—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×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8C2×D6111yescharacteristic
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4C2×D6111yescharacteristic, complemented
1035#433—611no—
1036#433—611no—
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416C2×D6111yescharacteristic
1044#416C2×D6111yescharacteristic
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41C22×D6111yescharacteristic
1054C2×#41C22×D6111yescharacteristic
1055C22×Q8—611no—
1056C22×D4—611no—
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8C22×D6111yescharacteristic
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8C22×D6111yescharacteristic
1081C22×C8C22×D6111yescharacteristic
1082C4⋊Q8—611no—
1083C4⋊Q8—1221no—
1084C4⋊Q8C22×D6111yescharacteristic
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—611no—
1089#126—611no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—21no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—611no—
1121#124—611no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#123—21no—
1129#123—21no—
1130#123—611no—
1131#123—611no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8C22×D6111yescharacteristic
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
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#121C22×D6111yescharacteristic
1179#121C22×D6111yescharacteristic
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—611no—
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—1221no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8—1221no—
1197C4×D4—611no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—21no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117C22×D6111yescharacteristic
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C22⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1292#103C22×D6111yescharacteristic
1293#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
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#102—611no—
1307#102—611no—
1308#102—611no—
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8C22×D6111yescharacteristic
1329C24—1221no—
1330#41—22no—
1331#41—22no—
1332#41—41no—
1333#41—41no—
1334#41—1222no—
1335#41—1222no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—1221no—
1343C2×Q8—1222no—
1344C2×Q8—1221no—
1345C2×Q8—2441no—
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1222no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—2441no—
1367C2×D4D4×D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
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—1221no—
1389C22×C4—1221no—
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—1222no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—2441no—
1396SD16—41no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—1222no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—22no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—1222no—
1409M16—1222no—
1410C2×C8—41no—
1411C2×C8—41no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—1222no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
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⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4D4×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—21no—
1477C22⋊C4—21no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
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⋊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⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—611no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
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
1534C23—21no—
1535C23—21no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23—4881no—
1540C23—4881no—
1541C23—2442no—
1542C23C2×D4×D6111yescharacteristic
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—81no—
1549Q8—612no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—42no—
1561D4—42no—
1562D4—81no—
1563D4—81no—
1564D4—1221no—
1565D4—1221no—
1566D4—1221no—
1567D4—1221no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—2441no—
1575D4—2441no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4#41×D6112yes—
1580C2×C4—21no—
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—21no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—611no—
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—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—4881no—
1618C2×C4—4881no—
1619C2×C4—2442no—
1620C2×C4—2441no—
1621C2×C4—2441no—
1622C2×C4—2442no—
1623C2×C4—2442no—
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—21no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C22—21no—
1638C22—21no—
1639C22—22no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—1221no—
1650C22—1221no—
1651C22—1221no—
1652C22—9762no—
1653C22—2441no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—1221no—
1671C4—1222no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—1221no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059711yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—4881no—
1690C2—4881no—
1691C2—2441no—
1692C2#2145930311yescharacteristic
1693C2#2146058811yescharacteristic
1694C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3303C2
socleC22×C61C23×D4
hypercenter#3303D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3303

Complements

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

NH ≅ G/Ntype
1. #21459919C2semidirect
2. #21459888C2semidirect
3. #21458892C2semidirect
4. #21458757C2semidirect
5. #21458509C2semidirect
6. #21458480C2semidirect
7. #21458377C2semidirect
8. #21458353C2semidirect
9. #21458319C2semidirect
10. #21457753C2semidirect
11. #21457723C2semidirect
12. #21457712C2semidirect
13. #21457670C2semidirect
14. #21457655C2semidirect
15. #21457448C2semidirect
16. #21457370C2semidirect
17. #21457363C2semidirect
18. #21456497C2semidirect
19. #21456494C2semidirect
20. #21456382C2semidirect
21. #21456051C2semidirect
22. #21456030C2semidirect
23. #21456019C2semidirect
24. #21456008C2semidirect
25. #21455931C2semidirect
26. #21455921C2semidirect
27. #21454787C2semidirect
28. #21454665C2semidirect
29. #21454644C2semidirect
30. #21454587C2semidirect
31. C61×#3303C2semidirect
35. #16840495C22semidirect
37. #16840487C22semidirect
53. #16840421C22semidirect
61. #16840365C22semidirect
66. #16840293C22semidirect
74. #16840239C22semidirect
77. #16840230C22semidirect
78. #16840169C22semidirect
79. #16840168C22semidirect
80. #16840162C22semidirect
81. #16840154C22semidirect
86. #16840117C22semidirect
87. #16840115C22semidirect
88. #16840107C22semidirect
90. #16840104C22semidirect
96. #16840083C22semidirect
97. #16840081C22semidirect
98. #16840073C22semidirect
99. #16840072C22semidirect
100. #16840070C22semidirect
101. #16840067C22semidirect
102. #16840067C22semidirect
103. #16840065C22semidirect
105. #16840062C22semidirect
107. #16840056C22semidirect
108. #16840046C22semidirect
113. #16840010C22semidirect
115. #16840001C22semidirect
123. #16839982C22semidirect
128. #16839969C22semidirect
129. #16839960C22semidirect
132. #16839922C22semidirect
135. #16839917C22semidirect
141. #16839891C22semidirect
142. C8×Dic122C22semidirect
146. #16839866C22semidirect
147. #16839866C22semidirect
148. #16839866C22semidirect
149. #16839865C22semidirect
150. #16839863C22semidirect
155. #16839854C22semidirect
156. #16839854C22semidirect
157. #16839854C22semidirect
158. #16839854C22semidirect
163. SD16×Dic61C22semidirect
165. #16839847C22semidirect
166. #16839847C22semidirect
171. #16839834C22semidirect
176. #16839820C22semidirect
177. #16839816C22semidirect
178. #16839805C22semidirect
180. #16839798C22semidirect
181. #16839759C22semidirect
183. C2×#14519702C22semidirect
185. #16839717C22semidirect
187. C2×C8×Dic61C22semidirect
188. C61×#555C22semidirect
190. C61×#487C22semidirect
191. C61×#485C22semidirect
192. C61×#485C22semidirect
194. C61×#465C22semidirect
195. C61×#465C22semidirect
196. C61×#461C22semidirect
200. C8×D4×C61C22semidirect
848. #3303D61semidirect
888. #555C2×D61semidirect
937. #487C2×D61semidirect
941. #485C2×D61semidirect
942. #485C2×D61semidirect
973. #465C2×D61semidirect
974. #465C2×D61semidirect
984. #461C2×D61semidirect
1034. C8×D4C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599192
#214598882
#214588922
#214587572
#214585092
#214584802
#214583772
#214583532
#214583192
#214577532
#214577232
#214577122
#214576702
#214576552
#214574482
#214573702
#214573632
#214564972
#214564942
#214563822
#214560512
#214560302
#214560192
#214560082
#214559312
#214559212
#214547872
#214546652
#214546442
#214545872
C61×#33032
#6150061