Finite Group Databasebeta

← #30560154

Subgroups — #30560154

Order 15616.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459709C211yesmaximal, characteristic, complemented
2#21459630C211yesmaximal, characteristic, complemented
3#21458668C211yesmaximal, characteristic, complemented
4#21458655C211yesmaximal, characteristic, complemented
5#21458650C211yesmaximal, characteristic, complemented
6#21458639C211yesmaximal, characteristic, complemented
7#21458636C211yesmaximal, characteristic, complemented
8#21458632C211yesmaximal, characteristic, complemented
9#21458611C211yesmaximal, characteristic, complemented
10#21458606C211yesmaximal, characteristic, complemented
11#21458589C211yesmaximal, characteristic, complemented
12#21458586C211yesmaximal, characteristic, complemented
13#21458573C211yesmaximal, characteristic, complemented
14#21458568C211yesmaximal, characteristic, complemented
15#21458564C211yesmaximal, characteristic, complemented
16#21458556C211yesmaximal, characteristic, complemented
17#21458538C211yesmaximal, characteristic, complemented
18#21456179C211yesmaximal, characteristic, complemented
19#21456170C211yesmaximal, characteristic, complemented
20#489×D61C211yesmaximal, characteristic, complemented
21#21455656C211yesmaximal, characteristic, complemented
22#21455643C211yesmaximal, characteristic, complemented
23#21455633C211yesmaximal, characteristic, complemented
24#21455364C211yesmaximal, characteristic, complemented
25#21455359C211yesmaximal, characteristic
26#21455308C211yesmaximal, characteristic, complemented
27#21454755C211yesmaximal, characteristic, complemented
28#21454659C211yesmaximal, characteristic, complemented
29#21454644C211yesmaximal, characteristic, complemented
30#21454614C211yesmaximal, characteristic, complemented
31C61×#3367C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840497C2211yescharacteristic
36#16840497C2211yescharacteristic
37#16840495C2211yescharacteristic
38#16840494C2211yescharacteristic
39#16840492C2211yescharacteristic, complemented
40#16840492C2211yescharacteristic, complemented
41#16840490C2211yescharacteristic, complemented
42#16840487C2211yescharacteristic, complemented
43#16840486C2211yescharacteristic
44#16840484C2211yescharacteristic
45#16840481C2211yescharacteristic
46#16840471C2211yescharacteristic, complemented
47#16840471C2211yescharacteristic, complemented
48#16840466—21no—
49#16840466—21no—
50#16840439—21no—
51#16840437—21no—
52#16840437—21no—
53#16840436—21no—
54D4×Dic122C2211yescharacteristic, complemented
55Q8×C22⋊D61—21no—
56#16840425—21no—
57#16840391—21no—
58#16840391—21no—
59#16840389C2211yescharacteristic
60#16840389C2211yescharacteristic
61#16840382—21no—
62#16840378—21no—
63#16840337C2211yescharacteristic
64#16840330C2211yescharacteristic
65#16840316C2211yescharacteristic
66#16840314—21no—
67C2×#14519775—21no—
68C4⋊Q8×D61C2211yescharacteristic
69#16840295—21no—
70#16840290—21no—
71#124×D61C2211yescharacteristic
72#16840241C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840238C2211yescharacteristic
75#16840234C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758224C2211yescharacteristic
78#16840130C2211yescharacteristic, complemented
79#16840129C2211yescharacteristic, complemented
80#16840127C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840124C2211yescharacteristic
83#16840124C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic
85#16840123C2211yescharacteristic
86#16840123C2211yescharacteristic
87#16840123C2211yescharacteristic, complemented
88#16840122C2211yescharacteristic
89#16840121C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840120C2211yescharacteristic
92#16840118C2211yescharacteristic
93#16840118C2211yescharacteristic, complemented
94#16840117C2211yescharacteristic, complemented
95#16840116C2211yescharacteristic
96#16840111C2211yescharacteristic, complemented
97#16840110C2211yescharacteristic
98#16840107C2211yescharacteristic
99#16840071C2211yescharacteristic, complemented
100#16840070C2211yescharacteristic, complemented
101#16840069C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840065C2211yescharacteristic
104#16840063C2211yescharacteristic
105#16840062C2211yescharacteristic
106#16840060C2211yescharacteristic
107#16840057C2211yescharacteristic, complemented
108#16840056C2211yescharacteristic, complemented
109#16840053C2211yescharacteristic, complemented
110#16840050C2211yescharacteristic
111#16840049C2211yescharacteristic
112#16840049C2211yescharacteristic, complemented
113#16840045C2211yescharacteristic, complemented
114#16840045C2211yescharacteristic, complemented
115#16840045C2211yescharacteristic, complemented
116#16840044C2211yescharacteristic, complemented
117#16840041C2211yescharacteristic
118#16840041C2211yescharacteristic, complemented
119#16840041C2211yescharacteristic, complemented
120#16839987C2211yescharacteristic
121#16839987C2211yescharacteristic
122#16839987C2211yescharacteristic, complemented
123#16839985C2211yescharacteristic
124#16839985C2211yescharacteristic, complemented
125#16839983C2211yescharacteristic
126#16839981C2211yescharacteristic
127#16839981C2211yescharacteristic
128#16839979C2211yescharacteristic
129#16839979C2211yescharacteristic
130#16839979C2211yescharacteristic, complemented
131#16839977C2211yescharacteristic
132#16839977C2211yescharacteristic, complemented
133#16839975C2211yescharacteristic
134#16839971C2211yescharacteristic, complemented
135#16839969C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839963C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839957C2211yescharacteristic
140#16839955C2211yescharacteristic
141#16839893C2211yescharacteristic, complemented
142#16839892C2211yescharacteristic, complemented
143#16839891C2211yescharacteristic, complemented
144#16839891C2211yescharacteristic, complemented
145#16839890C2211yescharacteristic, complemented
146#16839890C2211yescharacteristic, complemented
147#16839889C2211yescharacteristic, complemented
148#16839874C2211yescharacteristic
149#16839872C2211yescharacteristic
150#16839872C2211yescharacteristic, complemented
151#16839871C2211yescharacteristic, complemented
152#16839870C2211yescharacteristic, complemented
153#16839867C2211yescharacteristic, complemented
154#16839866C2211yescharacteristic, complemented
155#16839866C2211yescharacteristic, complemented
156#16839864C2211yescharacteristic, complemented
157#16839863C2211yescharacteristic, complemented
158#16839862C2211yescharacteristic
159#16839861C2211yescharacteristic
160#16839861C2211yescharacteristic, complemented
161#16839859C2211yescharacteristic, complemented
162#16839856C2211yescharacteristic, complemented
163C4×#11758202C2211yescharacteristic, complemented
164#16839853C2211yescharacteristic
165C4×#11758190C2211yescharacteristic
166SD16×Dic61C2211yescharacteristic, complemented
167C4×#11758200C2211yescharacteristic, complemented
168#16839842C2211yescharacteristic
169#16839803C2211yescharacteristic
170#16839803C2211yescharacteristic
171#16839799C2211yescharacteristic
172#16839787C2211yescharacteristic
173#16839787C2211yescharacteristic
174#16839784C2211yescharacteristic
175#16839769C2211yescharacteristic
176#16839765C2211yescharacteristic
177#16839762C2211yescharacteristic
178#16839762C2211yescharacteristic
179#16839757C2211yescharacteristic
180#16839755C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#103×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#556C2211yescharacteristic
189D4×Q8×C61C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#487C2211yescharacteristic, complemented
193C61×#477C2211yescharacteristic, complemented
194C61×#477C2211yescharacteristic, complemented
195C61×#474C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#463C2211yescharacteristic
198C61×#461C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×D8×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122—21no—
206C2×Q8×D61—21no—
207C2×Q8×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209#14519806—24no—
210#14519801—24no—
211#14519798—24no—
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221C2×#11758189C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776D411yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519775—21no—
235#14519775—21no—
236#14519775—21no—
237#14519775—21no—
238#14519775—21no—
239#14519775—21no—
240#14519775—21no—
241#14519775—21no—
242#14519775—21no—
243#14519775D411yescharacteristic
244#14519775C2311yescharacteristic
245#14519774C2311yescharacteristic
246#14519773C2311yescharacteristic
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519771—21no—
251#14519770—21no—
252#14519770—21no—
253#14519769C2311yescharacteristic
254#14519769C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767D411yescharacteristic
264#14519767D411yescharacteristic
265#14519766—21no—
266#14519766C2311yescharacteristic
267#14519766C2311yescharacteristic
268#14519766C2311yescharacteristic
269#14519765—21no—
270#14519765C2311yescharacteristic
271#14519765C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519762—21no—
278#14519762—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519761—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519757—21no—
288#14519757D411yescharacteristic
289#14519756—21no—
290#14519756—21no—
291#14519756—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755D411yescharacteristic
298#14519755D411yescharacteristic
299#14519754—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753D411yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519747—21no—
312#14519747—21no—
313Q8×Dic61—21no—
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122—21no—
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324#14519742—21no—
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332C4×D244—21no—
333C4×D244—21no—
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739—21no—
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734C2311yescharacteristic
362#14519734C2311yescharacteristic
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367C2×#11758196—21no—
368C2×#11758196—21no—
369C2×#11758196—21no—
370C2×#11758196—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C2×#11758198—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C2×C4×Dic61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434#14519687C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×Q8×C61—21no—
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#126×C61—21no—
447#126×C61—21no—
448#124×C61C2311yescharacteristic
449#124×C61C2311yescharacteristic
450C22⋊Q8×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61—21no—
453C22⋊Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61—21no—
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C4⋊C8×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
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61—21no—
485C2×Q8×C61—82no—
486C2×Q8×C61C2×D411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504#11758226—22no—
505#11758226—22no—
506Q8×D61—22no—
507Q8×D61—22no—
508Q8×D61—82no—
509#11758224—22no—
510#11758224#4114yes—
511D4×D61—22no—
512D4×D61—22no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244C2411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
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×D61C2×D411yescharacteristic
527C2×C4×D61C2×D411yescharacteristic
528C2×C4×D61C2411yescharacteristic
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—82no—
536C2×Dic122C2×D411yescharacteristic
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2411yescharacteristic
540C2×Dic122C2411yescharacteristic
541SD16×C61—22no—
542SD16×C61—22no—
543D8×C61—22no—
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
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—
570C42×C61—21no—
571C42×C61—21no—
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581#11758202—22no—
582#11758202—22no—
583#11758200—22no—
584#11758200—22no—
585#11758199—22no—
586#11758199—22no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198C2×D411yescharacteristic
604#11758198C2×D411yescharacteristic
605#11758198C2×D411yescharacteristic
606#11758198C2×D411yescharacteristic
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2×D411yescharacteristic
614C4⋊Dic61C2×D411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617C4⋊Dic61C2411yescharacteristic
618C4⋊Dic61C2411yescharacteristic
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61C2×D411yescharacteristic
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672Dic244—22no—
673#11758190—22no—
674#11758190—22no—
675#11758189—22no—
676#11758189—22no—
677C8×D61—22no—
678C8×D61—22no—
679C23×C61—21no—
680C23×C61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687Q8×C61—21no—
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—21no—
691Q8×C61—41no—
692Q8×C61—42no—
693Q8×C61—81no—
694Q8×C61—81no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61C2×#4112yes—
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—42no—
706C2×C4×C61—81no—
707C2×C4×C61—81no—
708C2×C4×C61—81no—
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C2511yescharacteristic
716C22⋊D61—24no—
717C22⋊D61—42no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—21no—
721C2×Dic61—24no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—42no—
728C2×Dic61—81no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738D244—21no—
739D244—21no—
740D244—21no—
741D244—21no—
742D244—42no—
743D244—81no—
744D244—81no—
745C4×D61—41no—
746C4×D61—41no—
747C4×D61—42no—
748C4×D61—42no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61C2×#4112yes—
756C4×D612−1+412yes—
757Dic122—21no—
758Dic122—21no—
759Dic122—21no—
760Dic122—41no—
761Dic122—41no—
762Dic122—41no—
763Dic122—42no—
764Dic122—42no—
765Dic122—81no—
766Dic122—81no—
767Dic122—81no—
768Dic122—81no—
769Dic122C2×#4112yes—
770C8×C61—21no—
771C8×C61—21no—
772C8×C61—21no—
773C8×C61—21no—
774#92418—21no—
775#92418—21no—
776#92418—21no—
777#92418—21no—
778#61336—611nomaximal, Sylow
779C22×C61—22no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61C23×D411yescharacteristic
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—162no—
795C2×D61#54812yes—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61C22×#4111yescharacteristic
809C4×C61C2×2−1+411yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—22no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61#54812yes—
823#3510—611no—
824#3503—611no—
825#3377—611no—
826#3377—611no—
827#3376—611no—
828#3376—611no—
829#3375—611no—
830#3375—611no—
831#3373—611no—
832#3373—611no—
833#3371—611no—
834#3371—611no—
835#3370—611no—
836#3370—611no—
837#3369—611no—
838#3369—611no—
839#3367—611no—
840#3367D6111yescharacteristic, complemented
841#3137—611no—
842#3136—611no—
843C2×#489—611no—
844#3082—611no—
845#3081—611no—
846#3079—611no—
847#3046—611no—
848#3045—611no—
849#3040—611no—
850#2961—611no—
851#2947—611no—
852#2946—611no—
853#2943—611no—
854C2×C61—42no—
855C2×C61—81no—
856C2×C61C2×#54811yescharacteristic
857C2×C61#358511yescharacteristic
858C2×C61#358611yescharacteristic
859D61—22no—
860D61—81no—
861D61—81no—
862C2×#137—611no—
863C2×AGL(1,ℤ/8)—611no—
864C2×#135—611no—
865#559—611no—
866#559—611no—
867#559—611no—
868#559—611no—
869Q82—611no—
870Q82—611no—
871#557—611no—
872#557—611no—
873#556—611no—
874#556—611no—
875#556—611no—
876#556C2×D6111yescharacteristic
877#554—611no—
878#554—611no—
879#554—1221no—
880#554—1221no—
881#551—1221no—
882#551—1221no—
883#551—1221no—
884#551—1221no—
885D4×Q8—611no—
886D4×Q8—1221no—
887D4×Q8—1221no—
888D4×Q8C2×D6111yescharacteristic, complemented
889#544—611no—
890#544—611no—
891#544—1221no—
892#544—1221no—
893#542—1221no—
894#542—1221no—
895#536—611no—
896#535—611no—
897#533—611no—
898#533—1221no—
899C2×C4⋊Q8—611no—
900C2×C4⋊Q8—1221no—
901#529—1221no—
902#529—1221no—
903C2×#124—611no—
904#520—611no—
905#520—611no—
906#519—611no—
907#518—611no—
908C4×#41—611no—
909C4×#41—611no—
910#491—611no—
911#491—611no—
912#490—611no—
913#490—611no—
914#489—611no—
915#489—611no—
916#489—611no—
917#489—611no—
918#489—611no—
919#489—611no—
920#489—611no—
921#489—611no—
922#489—611no—
923#489—611no—
924#489C2×D6111yescharacteristic
925#489C2×D6111yescharacteristic
926#488—611no—
927#488—611no—
928#488—611no—
929#488—611no—
930#487—611no—
931#487C2×D6111yescharacteristic, complemented
932#486—611no—
933#486—611no—
934#479—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#478—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#477—611no—
943#477—611no—
944#477C2×D6111yescharacteristic, complemented
945#477C2×D6111yescharacteristic, complemented
946#476—611no—
947#476—611no—
948#476—611no—
949#476—611no—
950#475—611no—
951#475—611no—
952#475—611no—
953#475—611no—
954#474—611no—
955#474—611no—
956#474—611no—
957#474C2×D6111yescharacteristic
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#464—611no—
963#464—611no—
964#464—611no—
965#464—611no—
966#463—611no—
967#463—611no—
968#463—611no—
969#463—611no—
970#463—611no—
971#463—611no—
972#463C2×D6111yescharacteristic
973#463C2×D6111yescharacteristic
974#462—611no—
975#462—611no—
976#461—611no—
977#461C2×D6111yescharacteristic, complemented
978#460—611no—
979#460—611no—
980#459—611no—
981#459—611no—
982#446—611no—
983#446—611no—
984#446—611no—
985#446—611no—
986#446—611no—
987#446—611no—
988#446—611no—
989#446C2×D6111yescharacteristic, complemented
990#442—611no—
991#442—611no—
992#442—611no—
993#442—611no—
994#441—611no—
995#441—611no—
996#441—611no—
997#441—611no—
998#440—611no—
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440C2×D6111yescharacteristic, complemented
1005#440C2×D6111yescharacteristic, complemented
1006C4×Q16—611no—
1007C4×Q16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16—611no—
1011C4×SD16—611no—
1012C4×D8—611no—
1013C4×D8C2×D6111yescharacteristic
1014#428—611no—
1015#428—611no—
1016#427—611no—
1017#424—611no—
1018#424—611no—
1019#423—611no—
1020#419—611no—
1021#418—611no—
1022#417—611no—
1023#417—611no—
1024#416—611no—
1025#416—611no—
1026C2×#103—611no—
1027C2×#103—611no—
1028C2×#102—611no—
1029C2×#102—611no—
1030#405—611no—
1031#405—611no—
1032C2×#97—611no—
1033C61#6133611yescharacteristic, complemented, Sylow
1034C2×#41—611no—
1035C2×#41—611no—
1036C22×Q8—21no—
1037C22×Q8—611no—
1038C22×Q8—1221no—
1039C22×Q8—1221no—
1040C22×D4—611no—
1041#137—1224no—
1042AGL(1,ℤ/8)—1224no—
1043#135—1224no—
1044C2×Q16—611no—
1045C2×Q16—611no—
1046C2×Q16—611no—
1047C2×SD16—611no—
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16C22×D6111yescharacteristic
1052C2×SD16C22×D6111yescharacteristic
1053C2×D8—611no—
1054C2×D8—611no—
1055C2×D8C22×D6111yescharacteristic
1056C2×M16—611no—
1057C2×M16—611no—
1058C22×C8—611no—
1059C22×C8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8—1221no—
1075C4⋊Q8—1221no—
1076C4⋊Q8—1221no—
1077C4⋊Q8—1221no—
1078C4⋊Q8—1221no—
1079C4⋊Q8—1221no—
1080C4⋊Q8C22×D6111yescharacteristic
1081C4⋊Q8C22×D6111yescharacteristic
1082C4⋊Q8C22×D6111yescharacteristic
1083C4⋊Q8C22×D6111yescharacteristic
1084#127—611no—
1085#127—611no—
1086#126—21no—
1087#126—21no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#125—611no—
1095#125—611no—
1096#125—611no—
1097#125—611no—
1098#125—611no—
1099#125—611no—
1100#125—1221no—
1101#125—1221no—
1102#125—1221no—
1103#125—1221no—
1104#125—1221no—
1105#125—1221no—
1106#124—611no—
1107#124—611no—
1108#124—611no—
1109#124—611no—
1110#124—611no—
1111#124—611no—
1112#124—1221no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124C22×D6111yescharacteristic
1119#124C22×D6111yescharacteristic
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—611no—
1135C22⋊Q8—611no—
1136C22⋊Q8—611no—
1137C22⋊Q8—611no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156#121—1221no—
1157#121—1221no—
1158#120—1221no—
1159#120—1221no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
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—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8C22×D6111yescharacteristic
1180C4×Q8C22×D6111yescharacteristic
1181C4×Q8C22×D6111yescharacteristic
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—1221no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206C4×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208#117—21no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117—1221no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—1221no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C22⋊C4—1221no—
1230C2×C22⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C42—611no—
1234C2×C42—1221no—
1235C2×C42—1221no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107C22×D6111yescharacteristic
1240#107C22×D6111yescharacteristic
1241#107C22×D6111yescharacteristic
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248C4⋊C8—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8C22×D6111yescharacteristic
1258C4⋊C8C22×D6111yescharacteristic
1259C4⋊C8C22×D6111yescharacteristic
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103C22×D6111yescharacteristic
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102C22×D6111yescharacteristic
1297#102C22×D6111yescharacteristic
1298#102C22×D6111yescharacteristic
1299#102C22×D6111yescharacteristic
1300#97—611no—
1301#97—611no—
1302#97—611no—
1303#97—611no—
1304#97—611no—
1305#97—611no—
1306#97C22×D6111yescharacteristic
1307#97C22×D6111yescharacteristic
1308C4×C8—611no—
1309C4×C8—611no—
1310C4×C8—611no—
1311C4×C8C22×D6111yescharacteristic
1312C24—1221no—
1313#41—614no—
1314#41—1222no—
1315#41—1222no—
1316#41—1222no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—82no—
1321C2×Q8—611no—
1322C2×Q8—611no—
1323C2×Q8—611no—
1324C2×Q8—611no—
1325C2×Q8—611no—
1326C2×Q8—1221no—
1327C2×Q8—1221no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1222no—
1332C2×Q8—1222no—
1333C2×Q8—1221no—
1334C2×Q8—4882no—
1335C2×Q8—4882no—
1336C2×Q8D4×D6111yescharacteristic
1337C2×Q8C23×D6111yescharacteristic
1338C2×Q8C23×D6111yescharacteristic
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—1221no—
1342C2×D4—1222no—
1343C2×D4—1222no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4C23×D6111yescharacteristic
1351C2×D4C23×D6111yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372Q16—1222no—
1373Q16—1222no—
1374Q16—1222no—
1375SD16—22no—
1376SD16—22no—
1377SD16—1222no—
1378SD16—1222no—
1379SD16—1222no—
1380SD16—1222no—
1381D8—22no—
1382D8—1222no—
1383D8—1222no—
1384M16—1222no—
1385M16—1222no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—611no—
1390C2×C8—1222no—
1391C2×C8—1222no—
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C2×C8C23×D6111yescharacteristic
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4D4×D6111yescharacteristic
1448C4⋊C4D4×D6111yescharacteristic
1449C4⋊C4D4×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C4⋊C4C23×D6111yescharacteristic
1453C4⋊C4C23×D6111yescharacteristic
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C42—21no—
1489C42—21no—
1490C42—611no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42C23×D6111yescharacteristic
1508C42C23×D6111yescharacteristic
1509C42C23×D6111yescharacteristic
1510C23—21no—
1511C23—21no—
1512C23—611no—
1513C23—1221no—
1514C23—1221no—
1515C23—4881no—
1516C23—4881no—
1517C23—2442no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—41no—
1523Q8—42no—
1524Q8—81no—
1525Q8—81no—
1526Q8—612no—
1527Q8—1221no—
1528Q8—1221no—
1529Q8—1221no—
1530Q8—4881no—
1531Q8—4881no—
1532Q8—4881no—
1533Q8—4881no—
1534Q8—2441no—
1535Q8—2441no—
1536Q8—2441no—
1537Q8—2442no—
1538Q8—2442no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—1224no—
1543D4—1221no—
1544D4—1221no—
1545D4—1221no—
1546D4—1221no—
1547D4—4881no—
1548D4—4881no—
1549D4—4881no—
1550D4—4881no—
1551D4—2442no—
1552D4—2442no—
1553D4#41×D6112yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—42no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—611no—
1565C2×C4—612no—
1566C2×C4—612no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—611no—
1572C2×C4—611no—
1573C2×C4—1224no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—4881no—
1585C2×C4—4881no—
1586C2×C4—4881no—
1587C2×C4—4881no—
1588C2×C4—4881no—
1589C2×C4—2441no—
1590C2×C4—2441no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C24×D6111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—612no—
1616C22—1221no—
1617C22—1221no—
1618C22—9762no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—612no—
1639C4—1222no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—1221no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4C2×#41×D6111yescharacteristic
1652C42−1+4×D6111yescharacteristic
1653C2—42no—
1654C2—81no—
1655C2—1222no—
1656C2—4881no—
1657C2—4881no—
1658C2#548×D6111yescharacteristic
1659C2#2146059511yescharacteristic
1660C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3367C2
socleC22×C61C23×D4
prime radical#21455359C2
hypercenter#3367D61
hypocenterC61#61336
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3367

Complements

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

NH ≅ G/Ntype
1. #21459709C2semidirect
2. #21459630C2semidirect
3. #21458668C2semidirect
4. #21458655C2semidirect
5. #21458650C2semidirect
6. #21458639C2semidirect
7. #21458636C2semidirect
8. #21458632C2semidirect
9. #21458611C2semidirect
10. #21458606C2semidirect
11. #21458589C2semidirect
12. #21458586C2semidirect
13. #21458573C2semidirect
14. #21458568C2semidirect
15. #21458564C2semidirect
16. #21458556C2semidirect
17. #21458538C2semidirect
18. #21456179C2semidirect
19. #21456170C2semidirect
20. #489×D61C2semidirect
21. #21455656C2semidirect
22. #21455643C2semidirect
23. #21455633C2semidirect
24. #21455364C2semidirect
26. #21455308C2semidirect
27. #21454755C2semidirect
28. #21454659C2semidirect
29. #21454644C2semidirect
30. #21454614C2semidirect
31. C61×#3367C2semidirect
39. #16840492C22semidirect
40. #16840492C22semidirect
41. #16840490C22semidirect
42. #16840487C22semidirect
46. #16840471C22semidirect
47. #16840471C22semidirect
54. D4×Dic122C22semidirect
78. #16840130C22semidirect
79. #16840129C22semidirect
83. #16840124C22semidirect
87. #16840123C22semidirect
93. #16840118C22semidirect
94. #16840117C22semidirect
96. #16840111C22semidirect
99. #16840071C22semidirect
100. #16840070C22semidirect
101. #16840069C22semidirect
102. #16840068C22semidirect
107. #16840057C22semidirect
108. #16840056C22semidirect
109. #16840053C22semidirect
112. #16840049C22semidirect
113. #16840045C22semidirect
114. #16840045C22semidirect
115. #16840045C22semidirect
116. #16840044C22semidirect
118. #16840041C22semidirect
119. #16840041C22semidirect
122. #16839987C22semidirect
124. #16839985C22semidirect
130. #16839979C22semidirect
132. #16839977C22semidirect
134. #16839971C22semidirect
135. #16839969C22semidirect
136. #16839965C22semidirect
141. #16839893C22semidirect
142. #16839892C22semidirect
143. #16839891C22semidirect
144. #16839891C22semidirect
145. #16839890C22semidirect
146. #16839890C22semidirect
147. #16839889C22semidirect
150. #16839872C22semidirect
151. #16839871C22semidirect
152. #16839870C22semidirect
153. #16839867C22semidirect
154. #16839866C22semidirect
155. #16839866C22semidirect
156. #16839864C22semidirect
157. #16839863C22semidirect
160. #16839861C22semidirect
161. #16839859C22semidirect
162. #16839856C22semidirect
163. C4×#11758202C22semidirect
166. SD16×Dic61C22semidirect
167. C4×#11758200C22semidirect
189. D4×Q8×C61C22semidirect
192. C61×#487C22semidirect
193. C61×#477C22semidirect
194. C61×#477C22semidirect
198. C61×#461C22semidirect
199. C61×#446C22semidirect
200. C61×#440C22semidirect
201. C61×#440C22semidirect
840. #3367D61semidirect
888. D4×Q8C2×D61semidirect
931. #487C2×D61semidirect
944. #477C2×D61semidirect
945. #477C2×D61semidirect
977. #461C2×D61semidirect
989. #446C2×D61semidirect
1004. #440C2×D61semidirect
1005. #440C2×D61semidirect
1033. C61#61336semidirect

Maximal subgroups

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

subgroupindex
#214597092
#214596302
#214586682
#214586552
#214586502
#214586392
#214586362
#214586322
#214586112
#214586062
#214585892
#214585862
#214585732
#214585682
#214585642
#214585562
#214585382
#214561792
#214561702
#489×D612
#214556562
#214556432
#214556332
#214553642
#214553592
#214553082
#214547552
#214546592
#214546442
#214546142
C61×#33672
#6133661