Finite Group Databasebeta

← #30560146

Subgroups — #30560146

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#21459712C211yesmaximal, characteristic, complemented
2#21459636C211yesmaximal, characteristic, complemented
3#21458661C211yesmaximal, characteristic, complemented
4#21458658C211yesmaximal, characteristic, complemented
5#21458649C211yesmaximal, characteristic, complemented
6#21458644C211yesmaximal, characteristic, complemented
7#21458637C211yesmaximal, characteristic, complemented
8#21458628C211yesmaximal, characteristic, complemented
9#21458614C211yesmaximal, characteristic, complemented
10#21458607C211yesmaximal, characteristic, complemented
11#21458592C211yesmaximal, characteristic, complemented
12#21458578C211yesmaximal, characteristic, complemented
13#21458567C211yesmaximal, characteristic, complemented
14#21458560C211yesmaximal, characteristic, complemented
15#21458557C211yesmaximal, characteristic, complemented
16#21458539C211yesmaximal, characteristic, complemented
17#21458534C211yesmaximal, characteristic, complemented
18#21456183C211yesmaximal, characteristic, complemented
19#21456174C211yesmaximal, characteristic, complemented
20#489×D61C211yesmaximal, characteristic, complemented
21#21455660C211yesmaximal, characteristic, complemented
22#21455647C211yesmaximal, characteristic, complemented
23#21455631C211yesmaximal, characteristic, complemented
24#21455372C211yesmaximal, characteristic, complemented
25#21455355C211yesmaximal, characteristic
26#21455310C211yesmaximal, characteristic, complemented
27#21454755C211yesmaximal, characteristic, complemented
28#21454661C211yesmaximal, characteristic, complemented
29#21454646C211yesmaximal, characteristic, complemented
30#21454614C211yesmaximal, characteristic, complemented
31C61×#3371C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519804C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840498C2211yescharacteristic
36#16840495C2211yescharacteristic
37#16840494C2211yescharacteristic
38Q8×Dic122C2211yescharacteristic, complemented
39Q8×Dic122C2211yescharacteristic, complemented
40#16840491C2211yescharacteristic, complemented
41#16840485C2211yescharacteristic
42#16840484C2211yescharacteristic
43#16840482C2211yescharacteristic
44#16840481C2211yescharacteristic
45#16840468—21no—
46#16840468—21no—
47#16840468C2211yescharacteristic, complemented
48#16840468C2211yescharacteristic, complemented
49#16840442—21no—
50#16840441—21no—
51#16840440—21no—
52#16840435—21no—
53Q8×D244—21no—
54Q8×D244C2211yescharacteristic, complemented
55#16840427—21no—
56#16840427C2211yescharacteristic, complemented
57#16840392—21no—
58#16840392—21no—
59#16840392C2211yescharacteristic
60#16840392C2211yescharacteristic
61#16840380—21no—
62#16840376—21no—
63#16840332C2211yescharacteristic
64#16840325C2211yescharacteristic
65#16840316—21no—
66#16840316C2211yescharacteristic
67C4⋊Q8×D61—21no—
68C4⋊Q8×D61C2211yescharacteristic
69#16840292—21no—
70#16840289—21no—
71#124×D61C2211yescharacteristic
72#16840244C2211yescharacteristic
73#16840244C2211yescharacteristic
74#16840238C2211yescharacteristic
75#16840234C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758224C2211yescharacteristic
78#16840132C2211yescharacteristic, complemented
79#16840129C2211yescharacteristic, complemented
80#16840125C2211yescharacteristic
81#16840124C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840123C2211yescharacteristic
84#16840122C2211yescharacteristic
85#16840122C2211yescharacteristic
86#16840121C2211yescharacteristic
87#16840121C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840120C2211yescharacteristic
91#16840120C2211yescharacteristic, complemented
92#16840119C2211yescharacteristic
93#16840115C2211yescharacteristic
94#16840115C2211yescharacteristic, complemented
95#16840113C2211yescharacteristic, complemented
96#16840111C2211yescharacteristic, complemented
97#16840108C2211yescharacteristic
98#16840107C2211yescharacteristic
99#16840071C2211yescharacteristic, complemented
100#16840068C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840060C2211yescharacteristic
104#16840059C2211yescharacteristic
105#16840058C2211yescharacteristic, complemented
106#16840058C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840054C2211yescharacteristic, complemented
109#16840052C2211yescharacteristic
110#16840052C2211yescharacteristic, complemented
111#16840051C2211yescharacteristic
112#16840047C2211yescharacteristic, complemented
113#16840046C2211yescharacteristic, complemented
114#16840046C2211yescharacteristic, complemented
115#16840046C2211yescharacteristic, complemented
116#16840043C2211yescharacteristic
117#16840040C2211yescharacteristic
118#16840040C2211yescharacteristic, complemented
119#16840040C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic
121#16839984C2211yescharacteristic
122#16839984C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839982C2211yescharacteristic
125#16839982C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic
127#16839978C2211yescharacteristic
128#16839978C2211yescharacteristic
129#16839976C2211yescharacteristic
130#16839976C2211yescharacteristic
131#16839976C2211yescharacteristic, complemented
132#16839974C2211yescharacteristic
133#16839974C2211yescharacteristic, complemented
134#16839972C2211yescharacteristic, complemented
135#16839970C2211yescharacteristic, complemented
136#16839968C2211yescharacteristic, complemented
137#16839966C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic
139#16839956C2211yescharacteristic
140#16839954C2211yescharacteristic
141#16839893C2211yescharacteristic, complemented
142#16839892C2211yescharacteristic, complemented
143#16839891C2211yescharacteristic, complemented
144#16839891C2211yescharacteristic, complemented
145#16839890C2211yescharacteristic, complemented
146#16839890C2211yescharacteristic, complemented
147#16839889C2211yescharacteristic, complemented
148#16839873C2211yescharacteristic
149#16839872C2211yescharacteristic
150#16839872C2211yescharacteristic, complemented
151#16839871C2211yescharacteristic, complemented
152#16839867C2211yescharacteristic, complemented
153#16839866C2211yescharacteristic, complemented
154#16839866C2211yescharacteristic, complemented
155#16839865C2211yescharacteristic, complemented
156#16839864C2211yescharacteristic, complemented
157#16839864C2211yescharacteristic, complemented
158#16839863C2211yescharacteristic
159#16839863C2211yescharacteristic, complemented
160#16839861C2211yescharacteristic, complemented
161#16839860C2211yescharacteristic
162Q16×Dic61C2211yescharacteristic, complemented
163C4×#11758202C2211yescharacteristic, complemented
164C4×#11758201C2211yescharacteristic, complemented
165#16839849C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic
167C4×D488C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839801C2211yescharacteristic
170#16839801C2211yescharacteristic
171#16839799C2211yescharacteristic
172#16839787C2211yescharacteristic
173#16839787C2211yescharacteristic
174#16839784C2211yescharacteristic
175#16839769C2211yescharacteristic
176#16839765C2211yescharacteristic
177#16839760C2211yescharacteristic
178#16839760C2211yescharacteristic
179#16839757C2211yescharacteristic
180#16839755C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#103×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839716C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#559C2211yescharacteristic
189C61×#557C2211yescharacteristic, complemented
190C61×#490C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#488C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#478C2211yescharacteristic
195C61×#476C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#441C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×Q8×D61—21no—
206C2×Q8×D61—21no—
207C2×Q8×D61—21no—
208C2×Q8×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210#14519809—24no—
211#14519804—24no—
212#14519798—24no—
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×D488C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×#11758189C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519777—21no—
227#14519777—21no—
228#14519777—21no—
229#14519777C2311yescharacteristic
230#14519777C2311yescharacteristic
231#14519777C2311yescharacteristic
232#14519777C2311yescharacteristic
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776—21no—
239#14519776—21no—
240#14519776D411yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519775—21no—
246#14519775D411yescharacteristic
247#14519775C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519768—21no—
258#14519768—21no—
259#14519768C2311yescharacteristic
260#14519768C2311yescharacteristic
261#14519767—21no—
262#14519767—21no—
263#14519767D411yescharacteristic
264#14519767D411yescharacteristic
265#14519766C2311yescharacteristic
266#14519765C2311yescharacteristic
267#14519765C2311yescharacteristic
268#14519764—21no—
269#14519764C2311yescharacteristic
270#14519764C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519761—21no—
277#14519760—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519758—21no—
283#14519758—21no—
284#14519757—21no—
285#14519757—21no—
286#14519757—21no—
287#14519757—21no—
288#14519757—21no—
289#14519757—21no—
290#14519757—21no—
291#14519757D411yescharacteristic
292#14519756—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755D411yescharacteristic
303#14519755D411yescharacteristic
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753D411yescharacteristic
310#14519749—21no—
311#14519749—21no—
312#14519745—21no—
313#14519745—21no—
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327#14519742—21no—
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330C4×D244—21no—
331C4×D244—21no—
332C4×D244—21no—
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336C4×D244C2311yescharacteristic
337D4×Dic61—21no—
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340#14519739—21no—
341#14519739—21no—
342#14519739—21no—
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519736—21no—
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734C2311yescharacteristic
364#14519734C2311yescharacteristic
365#14519733—21no—
366#14519733—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—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#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
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#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
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
438C2×Q16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C4⋊Q8×C61—21no—
442C4⋊Q8×C61C2311yescharacteristic
443#127×C61C2311yescharacteristic
444#125×C61—21no—
445#125×C61—21no—
446#125×C61C2311yescharacteristic
447#125×C61C2311yescharacteristic
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450#124×C61C2311yescharacteristic
451#123×C61—21no—
452#123×C61—21no—
453C4×Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61—21no—
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×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×C61C2×D411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499#11758226—22no—
500#11758226#4114yes—
501Q8×D61—22no—
502Q8×D61—22no—
503Q8×D61—82no—
504Q8×D61—82no—
505Q8×D61—82no—
506#11758224—22no—
507#11758224—22no—
508D4×D61—22no—
509D4×D61—22no—
510C2×D244—21no—
511C2×D244C2411yescharacteristic
512C2×D244C2411yescharacteristic
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61C2×D411yescharacteristic
526C2×C4×D61C2×D411yescharacteristic
527C2×C4×D61C2411yescharacteristic
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122C2×D411yescharacteristic
537C2×Dic122C2×D411yescharacteristic
538C2×Dic122C2×D411yescharacteristic
539C2×Dic122C2411yescharacteristic
540C2×Dic122C2411yescharacteristic
541Q16×C61—22no—
542SD16×C61—22no—
543SD16×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×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
573C42×C61—21no—
574C42×C61C2411yescharacteristic
575C42×C61C2411yescharacteristic
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585#11758202—22no—
586#11758202—22no—
587#11758201—22no—
588#11758201—22no—
589#11758199—22no—
590#11758199—22no—
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#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198C2×D411yescharacteristic
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
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
672D488—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—41no—
691Q8×C61—42no—
692Q8×C61C2×#4112yes—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—81no—
698D4×C61—81no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—81no—
706C2×C4×C61—81no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C2511yescharacteristic
714C22⋊D61—42no—
715C22⋊D61—42no—
716C22⋊D61—81no—
717C22⋊D61—81no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—42no—
725C2×Dic61—81no—
726C2×Dic61—81no—
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734D244—24no—
735D244—21no—
736D244—21no—
737D244—21no—
738D244C2×#4112yes—
739C4×D61—24no—
740C4×D61—41no—
741C4×D61—41no—
742C4×D61—42no—
743C4×D61—42no—
744C4×D61—42no—
745C4×D61—81no—
746C4×D61—81no—
747C4×D61—81no—
748C4×D61—81no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752C4×D61—81no—
753C4×D61C2×#4112yes—
754C4×D612−1+412yes—
755Dic122—21no—
756Dic122—21no—
757Dic122—21no—
758Dic122—21no—
759Dic122—41no—
760Dic122—41no—
761Dic122—41no—
762Dic122—42no—
763Dic122—42no—
764Dic122—81no—
765Dic122—81no—
766Dic122—81no—
767Dic122—81no—
768Dic122—81no—
769Dic122—81no—
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—41no—
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—22no—
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—22no—
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—41no—
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#3371D6111yescharacteristic, complemented
835#3370—611no—
836#3370—611no—
837#3369—611no—
838#3369—611no—
839#3367—611no—
840#3367—611no—
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—81no—
855C2×C61—81no—
856C2×C61C2×#54811yescharacteristic
857C2×C61#358511yescharacteristic
858C2×C61#358611yescharacteristic
859D61—22no—
860D61—42no—
861D61—81no—
862C2×#137—611no—
863C2×AGL(1,ℤ/8)—611no—
864C2×#135—611no—
865#559—611no—
866#559—611no—
867#559—611no—
868#559C2×D6111yescharacteristic
869Q82—611no—
870Q82—611no—
871#557—611no—
872#557C2×D6111yescharacteristic, complemented
873#556—611no—
874#556—611no—
875#556—611no—
876#556—611no—
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—611no—
887D4×Q8—1221no—
888D4×Q8—1221no—
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#490C2×D6111yescharacteristic
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#489—611no—
925#489C2×D6111yescharacteristic
926#488—611no—
927#488—611no—
928#488—611no—
929#488C2×D6111yescharacteristic, complemented
930#487—611no—
931#487—611no—
932#486—611no—
933#486—611no—
934#479—611no—
935#479—611no—
936#479—611no—
937#479C2×D6111yescharacteristic, complemented
938#478—611no—
939#478—611no—
940#478—611no—
941#478C2×D6111yescharacteristic
942#477—611no—
943#477—611no—
944#477—611no—
945#477—611no—
946#476—611no—
947#476—611no—
948#476—611no—
949#476C2×D6111yescharacteristic, complemented
950#475—611no—
951#475—611no—
952#475—611no—
953#475—611no—
954#474—611no—
955#474—611no—
956#474—611no—
957#474—611no—
958#464—611no—
959#464—611no—
960#464—611no—
961#464—611no—
962#464—611no—
963#464—611no—
964#464C2×D6111yescharacteristic
965#464C2×D6111yescharacteristic, complemented
966#463—611no—
967#463—611no—
968#463—611no—
969#463—611no—
970#463—611no—
971#463—611no—
972#463—611no—
973#463—611no—
974#462—611no—
975#462—611no—
976#461—611no—
977#461—611no—
978#460—611no—
979#460C2×D6111yescharacteristic
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#441C2×D6111yescharacteristic, complemented
998#440—611no—
999#440—611no—
1000#440—611no—
1001#440—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440C2×D6111yescharacteristic, complemented
1006C4×Q16—611no—
1007C4×Q16—611no—
1008C4×SD16—611no—
1009C4×SD16—611no—
1010C4×SD16—611no—
1011C4×SD16C2×D6111yescharacteristic
1012C4×D8—611no—
1013C4×D8—611no—
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—611no—
1037C22×Q8—1221no—
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×Q16C22×D6111yescharacteristic
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×D8—611no—
1056C2×M16—611no—
1057C2×M16—611no—
1058C22×C8—611no—
1059C22×C8—611no—
1060C4⋊Q8—21no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—611no—
1064C4⋊Q8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
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⋊Q8—1221no—
1081C4⋊Q8—1221no—
1082C4⋊Q8—1221no—
1083C4⋊Q8C22×D6111yescharacteristic
1084#127—611no—
1085#127C22×D6111yescharacteristic
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#125—21no—
1095#125—21no—
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#125C22×D6111yescharacteristic
1105#125C22×D6111yescharacteristic
1106#124—21no—
1107#124—611no—
1108#124—611no—
1109#124—611no—
1110#124—611no—
1111#124—611no—
1112#124—611no—
1113#124—1221no—
1114#124—1221no—
1115#124—1221no—
1116#124—1221no—
1117#124—1221no—
1118#124C22×D6111yescharacteristic
1119#124C22×D6111yescharacteristic
1120#123—21no—
1121#123—21no—
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—611no—
1131C22⋊Q8—611no—
1132C22⋊Q8—611no—
1133C22⋊Q8—611no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊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—21no—
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—1221no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8C22×D6111yescharacteristic
1178C4×Q8C22×D6111yescharacteristic
1179C4×Q8C22×D6111yescharacteristic
1180C4×Q8C22×D6111yescharacteristic
1181C4×Q8C22×D6111yescharacteristic
1182C4×D4—21no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—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×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208#117—611no—
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—1221no—
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#107—611no—
1240#107—611no—
1241#107C22×D6111yescharacteristic
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106—611no—
1246#106C22×D6111yescharacteristic
1247#106C22×D6111yescharacteristic
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#103—611no—
1275#103—611no—
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#102C22×D6111yescharacteristic
1295#102C22×D6111yescharacteristic
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—611no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—611no—
1322C2×Q8—611no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8—1221no—
1327C2×Q8—1221no—
1328C2×Q8—1222no—
1329C2×Q8—1222no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—4882no—
1334C2×Q8—4882no—
1335C2×Q8—4882no—
1336C2×Q8D4×D6111yescharacteristic
1337C2×Q8C23×D6111yescharacteristic
1338C2×Q8C23×D6111yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—1221no—
1344C2×D4—1222no—
1345C2×D4—1222no—
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—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—1221no—
1358C22×C4—1221no—
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—22no—
1373Q16—1222no—
1374Q16—1222no—
1375SD16—22no—
1376SD16—22no—
1377SD16—1222no—
1378SD16—1222no—
1379SD16—1222no—
1380SD16—1222no—
1381D8—1222no—
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—21no—
1404C4⋊C4—21no—
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—611no—
1421C4⋊C4—611no—
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—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
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—41no—
1522Q8—42no—
1523Q8—1221no—
1524Q8—1221no—
1525Q8—1221no—
1526Q8—1221no—
1527Q8—4881no—
1528Q8—4881no—
1529Q8—4881no—
1530Q8—4881no—
1531Q8—4881no—
1532Q8—4881no—
1533Q8—2441no—
1534Q8—2441no—
1535Q8—2441no—
1536Q8—2442no—
1537Q8—2442no—
1538Q8#41×D6112yes—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—81no—
1544D4—81no—
1545D4—612no—
1546D4—1224no—
1547D4—1221no—
1548D4—1221no—
1549D4—1221no—
1550D4—4881no—
1551D4—4881no—
1552D4—2442no—
1553D4—2442no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—611no—
1563C2×C4—612no—
1564C2×C4—612no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—611no—
1570C2×C4—611no—
1571C2×C4—1224no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—4881no—
1579C2×C4—4881no—
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—2441no—
1589C2×C4—2441no—
1590C2×C4—2442no—
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—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—612no—
1616C22—1221no—
1617C22—1221no—
1618C22—1222no—
1619C22—9762no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—22no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—612no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4C2×#41×D6111yescharacteristic
1652C42−1+4×D6111yescharacteristic
1653C2—81no—
1654C2—81no—
1655C2—1222no—
1656C2—4881no—
1657C2—2442no—
1658C2#548×D6111yescharacteristic
1659C2#2146059611yescharacteristic
1660C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3371C2
socleC22×C61C23×D4
prime radical#21455355C2
hypercenter#3371D61
hypocenterC61#61336
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3371

Complements

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

NH ≅ G/Ntype
1. #21459712C2semidirect
2. #21459636C2semidirect
3. #21458661C2semidirect
4. #21458658C2semidirect
5. #21458649C2semidirect
6. #21458644C2semidirect
7. #21458637C2semidirect
8. #21458628C2semidirect
9. #21458614C2semidirect
10. #21458607C2semidirect
11. #21458592C2semidirect
12. #21458578C2semidirect
13. #21458567C2semidirect
14. #21458560C2semidirect
15. #21458557C2semidirect
16. #21458539C2semidirect
17. #21458534C2semidirect
18. #21456183C2semidirect
19. #21456174C2semidirect
20. #489×D61C2semidirect
21. #21455660C2semidirect
22. #21455647C2semidirect
23. #21455631C2semidirect
24. #21455372C2semidirect
26. #21455310C2semidirect
27. #21454755C2semidirect
28. #21454661C2semidirect
29. #21454646C2semidirect
30. #21454614C2semidirect
31. C61×#3371C2semidirect
38. Q8×Dic122C22semidirect
39. Q8×Dic122C22semidirect
40. #16840491C22semidirect
47. #16840468C22semidirect
48. #16840468C22semidirect
54. Q8×D244C22semidirect
56. #16840427C22semidirect
78. #16840132C22semidirect
79. #16840129C22semidirect
87. #16840121C22semidirect
91. #16840120C22semidirect
94. #16840115C22semidirect
95. #16840113C22semidirect
96. #16840111C22semidirect
99. #16840071C22semidirect
100. #16840068C22semidirect
101. #16840066C22semidirect
105. #16840058C22semidirect
106. #16840058C22semidirect
107. #16840055C22semidirect
108. #16840054C22semidirect
110. #16840052C22semidirect
112. #16840047C22semidirect
113. #16840046C22semidirect
114. #16840046C22semidirect
115. #16840046C22semidirect
118. #16840040C22semidirect
119. #16840040C22semidirect
125. #16839982C22semidirect
131. #16839976C22semidirect
133. #16839974C22semidirect
134. #16839972C22semidirect
135. #16839970C22semidirect
136. #16839968C22semidirect
137. #16839966C22semidirect
141. #16839893C22semidirect
142. #16839892C22semidirect
143. #16839891C22semidirect
144. #16839891C22semidirect
145. #16839890C22semidirect
146. #16839890C22semidirect
147. #16839889C22semidirect
150. #16839872C22semidirect
151. #16839871C22semidirect
152. #16839867C22semidirect
153. #16839866C22semidirect
154. #16839866C22semidirect
155. #16839865C22semidirect
156. #16839864C22semidirect
157. #16839864C22semidirect
159. #16839863C22semidirect
160. #16839861C22semidirect
162. Q16×Dic61C22semidirect
163. C4×#11758202C22semidirect
164. C4×#11758201C22semidirect
165. #16839849C22semidirect
189. C61×#557C22semidirect
192. C61×#488C22semidirect
193. C61×#479C22semidirect
195. C61×#476C22semidirect
197. C61×#464C22semidirect
199. C61×#446C22semidirect
200. C61×#441C22semidirect
201. C61×#440C22semidirect
834. #3371D61semidirect
872. #557C2×D61semidirect
929. #488C2×D61semidirect
937. #479C2×D61semidirect
949. #476C2×D61semidirect
965. #464C2×D61semidirect
989. #446C2×D61semidirect
997. #441C2×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
#214597122
#214596362
#214586612
#214586582
#214586492
#214586442
#214586372
#214586282
#214586142
#214586072
#214585922
#214585782
#214585672
#214585602
#214585572
#214585392
#214585342
#214561832
#214561742
#489×D612
#214556602
#214556472
#214556312
#214553722
#214553552
#214553102
#214547552
#214546612
#214546462
#214546142
C61×#33712
#6133661