Finite Group Databasebeta

← #30563021

Subgroups — #30563021

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#21459922C211yesmaximal, characteristic, complemented
2#21459885C211yesmaximal, characteristic, complemented
3#21458880C211yesmaximal, characteristic, complemented
4#21458763C211yesmaximal, characteristic, complemented
5#21458501C211yesmaximal, characteristic, complemented
6#21458484C211yesmaximal, characteristic, complemented
7#21458385C211yesmaximal, characteristic, complemented
8#21458348C211yesmaximal, characteristic, complemented
9#21458314C211yesmaximal, characteristic, complemented
10#21457757C211yesmaximal, characteristic, complemented
11#21457742C211yesmaximal, characteristic, complemented
12#21457727C211yesmaximal, characteristic, complemented
13#21457712C211yesmaximal, characteristic, complemented
14#21457664C211yesmaximal, characteristic, complemented
15#21457653C211yesmaximal, characteristic, complemented
16#21457457C211yesmaximal, characteristic, complemented
17#21457381C211yesmaximal, characteristic, complemented
18#21457358C211yesmaximal, characteristic, complemented
19#21456483C211yesmaximal, characteristic, complemented
20#21456387C211yesmaximal, characteristic, complemented
21#21456042C211yesmaximal, characteristic, complemented
22#21456037C211yesmaximal, characteristic, complemented
23#21456012C211yesmaximal, characteristic, complemented
24#21456001C211yesmaximal, characteristic, complemented
25#21455926C211yesmaximal, characteristic, complemented
26#21455924C211yesmaximal, characteristic, complemented
27#21454790C211yesmaximal, characteristic, complemented
28#21454664C211yesmaximal, characteristic, complemented
29#21454644C211yesmaximal, characteristic, complemented
30C4×#14519798C211yesmaximal, characteristic, complemented
31C61×#3179C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840498C2211yescharacteristic, complemented
36#16840496—21no—
37#16840489C2211yescharacteristic, complemented
38#16840486C2211yescharacteristic
39#16840481C2211yescharacteristic
40#16840476—21no—
41#16840476C2211yescharacteristic, complemented
42#16840473C2211yescharacteristic
43#16840464C2211yescharacteristic
44#16840459C2211yescharacteristic
45#16840457—21no—
46#16840455—21no—
47#16840454C2211yescharacteristic
48#16840450C2211yescharacteristic
49#16840449—21no—
50#16840446—21no—
51#16840439—21no—
52#16840435—21no—
53#16840432C2211yescharacteristic
54#16840418C2211yescharacteristic
55#16840418C2211yescharacteristic, complemented
56#16840414C2211yescharacteristic
57#16840409C2211yescharacteristic
58#16840405C2211yescharacteristic
59#16840380—21no—
60#16840377C2211yescharacteristic
61#16840370C2211yescharacteristic
62#16840362—21no—
63#16840353—21no—
64#16840346—21no—
65#16840294C2211yescharacteristic
66#16840294C2211yescharacteristic, complemented
67#16840293—21no—
68#16840291—21no—
69#16840290C2211yescharacteristic
70#16840289—21no—
71#126×D61—21no—
72#16840242C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic, complemented
75#16840234C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758224C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840153C2211yescharacteristic, complemented
81#16840145C2211yescharacteristic
82#16840115C2211yescharacteristic
83#16840115C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic, complemented
85#16840111C2211yescharacteristic, complemented
86#16840106C2211yescharacteristic
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840100C2211yescharacteristic, complemented
90#16840099C2211yescharacteristic
91#16840091C2211yescharacteristic
92#16840085C2211yescharacteristic
93#16840084C2211yescharacteristic
94#16840084C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic
96#16840078C2211yescharacteristic, complemented
97#16840073C2211yescharacteristic, complemented
98#16840072C2211yescharacteristic, complemented
99#16840071C2211yescharacteristic, complemented
100#16840068C2211yescharacteristic, complemented
101#16840066C2211yescharacteristic, complemented
102#16840065C2211yescharacteristic
103#16840064C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840059C2211yescharacteristic
106#16840054C2211yescharacteristic, complemented
107#16840051C2211yescharacteristic
108#16840044C2211yescharacteristic, complemented
109#16840040C2211yescharacteristic
110#16840021C2211yescharacteristic
111#16840005C2211yescharacteristic
112#16840004C2211yescharacteristic, complemented
113#16840002C2211yescharacteristic
114#16839995C2211yescharacteristic
115#16839990C2211yescharacteristic
116#16839990C2211yescharacteristic
117#16839990C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic
119#16839982C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic
121#16839981C2211yescharacteristic
122#16839976C2211yescharacteristic
123#16839976C2211yescharacteristic
124#16839975C2211yescharacteristic
125#16839975C2211yescharacteristic
126#16839971C2211yescharacteristic, complemented
127#16839965C2211yescharacteristic, complemented
128#16839959C2211yescharacteristic, complemented
129#16839954C2211yescharacteristic
130#16839927C2211yescharacteristic
131#16839925C2211yescharacteristic
132#16839925C2211yescharacteristic, complemented
133#16839921C2211yescharacteristic
134#16839917C2211yescharacteristic, complemented
135#16839914C2211yescharacteristic
136#16839906C2211yescharacteristic
137#16839905C2211yescharacteristic
138#16839905C2211yescharacteristic
139#16839904C2211yescharacteristic
140#16839900C2211yescharacteristic
141#16839894C2211yescharacteristic
142#16839890C2211yescharacteristic, complemented
143C8×Dic122C2211yescharacteristic, complemented
144#16839874C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839870C2211yescharacteristic, complemented
147#16839870C2211yescharacteristic, complemented
148#16839867C2211yescharacteristic, complemented
149#16839864C2211yescharacteristic
150#16839864C2211yescharacteristic
151#16839862C2211yescharacteristic
152#16839862C2211yescharacteristic, complemented
153#16839861C2211yescharacteristic
154C4×Dic244C2211yescharacteristic, complemented
155C4×Dic244C2211yescharacteristic, complemented
156C4×#11758202C2211yescharacteristic, complemented
157#16839854C2211yescharacteristic, complemented
158#16839853C2211yescharacteristic
159C4×#11758190C2211yescharacteristic
160C4×#11758190C2211yescharacteristic
161SD16×Dic61C2211yescharacteristic, complemented
162#16839849C2211yescharacteristic
163C4×#11758200C2211yescharacteristic
164C4×#11758200C2211yescharacteristic, complemented
165C4×#11758199C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839842C2211yescharacteristic
168#16839838C2211yescharacteristic
169#16839835C2211yescharacteristic
170#16839831C2211yescharacteristic, complemented
171C8×D244C2211yescharacteristic
172C8×C22⋊D61C2211yescharacteristic
173C8×C22⋊D61C2211yescharacteristic, complemented
174#16839824C2211yescharacteristic
175#16839823C2211yescharacteristic, complemented
176#16839817C2211yescharacteristic, complemented
177#16839804C2211yescharacteristic, complemented
178#16839803C2211yescharacteristic
179#16839797C2211yescharacteristic, complemented
180#16839759C2211yescharacteristic
181#16839757C2211yescharacteristic
182#16839755C2211yescharacteristic
183#16839755C2211yescharacteristic, complemented
184C2×#14519702C2211yescharacteristic, complemented
185#102×D61C2211yescharacteristic
186#16839716C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#540C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#496C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#486C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic
195C61×#468C2211yescharacteristic, complemented
196C61×#466C2211yescharacteristic
197C61×#465C2211yescharacteristic, complemented
198C61×#442C2211yescharacteristic
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic
202C61×#405C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209#14519810—24no—
210#14519801—24no—
211#14519798—24no—
212C2×Dic244C2311yescharacteristic
213C2×Dic244C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228#14519776—21no—
229#14519776C2311yescharacteristic
230#14519775C2311yescharacteristic
231#14519773—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772D411yescharacteristic
238#14519771—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770D411yescharacteristic
247#14519769—21no—
248#14519768—21no—
249#14519768—21no—
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767D411yescharacteristic
257#14519766—21no—
258#14519764—21no—
259#14519764—21no—
260#14519764C2311yescharacteristic
261#14519764C2311yescharacteristic
262#14519764C2311yescharacteristic
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763D411yescharacteristic
268#14519762—21no—
269#14519762—21no—
270#14519762D411yescharacteristic
271#14519761—21no—
272#14519761—21no—
273#14519760—21no—
274#14519759—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759D411yescharacteristic
280#14519758—21no—
281#14519758—21no—
282#14519758—21no—
283#14519757—21no—
284#14519757C2311yescharacteristic
285#14519757C2311yescharacteristic
286#14519757C2311yescharacteristic
287#14519757C2311yescharacteristic
288#14519756—21no—
289#14519755D411yescharacteristic
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519753—21no—
294#14519753—21no—
295#14519753C2311yescharacteristic
296#14519750—21no—
297#14519750—21no—
298#14519750D411yescharacteristic
299#14519749—21no—
300#14519749—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519748—21no—
306#14519748—21no—
307#14519748C2311yescharacteristic
308#14519748C2311yescharacteristic
309#14519748C2311yescharacteristic
310#14519747—21no—
311#14519745—21no—
312Q8×Dic61—21no—
313Q8×Dic61C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326C4×D244—21no—
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330D4×Dic61—21no—
331D4×Dic61—21no—
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338#14519739—21no—
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519736—21no—
355#14519736—21no—
356#14519736C2311yescharacteristic
357#14519735—21no—
358#14519735—21no—
359#14519735—21no—
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519734C2311yescharacteristic
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370#14519733—21no—
371C2×C4⋊Dic61C2311yescharacteristic
372C2×#11758196—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61C2311yescharacteristic
377C2×#11758198—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C2×C4×Dic61—21no—
382C42×D61—21no—
383C42×D61C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519687C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445#127×C61C2311yescharacteristic
446#126×C61—21no—
447#125×C61C2311yescharacteristic
448#124×C61—21no—
449#124×C61C2311yescharacteristic
450#123×C61—21no—
451#123×C61—21no—
452#123×C61—21no—
453C22⋊Q8×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455#121×C61—21no—
456#121×C61—21no—
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C4×C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512#11758226—22no—
513#11758226—41no—
514#11758224—22no—
515#11758224—22no—
516#11758224—41no—
517#11758224—41no—
518D4×D61—22no—
519D4×D61—41no—
520#11758222—22no—
521#11758222—41no—
522C2×D244—21no—
523C2×D244C2×D411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×Dic122—22no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—41no—
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—22no—
545SD16×C61—41no—
546D8×C61—22no—
547D8×C61—41no—
548M16×C61—22no—
549C2×C8×C61—41no—
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61C2×D411yescharacteristic
575C22⋊C4×C61C2×D411yescharacteristic
576C42×C61—21no—
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61C2×D411yescharacteristic
593C22⋊Dic61C2×D411yescharacteristic
594#11758202—22no—
595#11758202—41no—
596#11758200—22no—
597#11758200—41no—
598#11758200—41no—
599#11758200—41no—
600#11758199—22no—
601#11758199—22no—
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#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
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⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657C4×Dic61—21no—
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
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678Dic244—22no—
679Dic244—22no—
680#11758190—22no—
681#11758190#4114yes—
682#11758189—22no—
683C8×D61—22no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61C22×D411yescharacteristic
690C22×D61—21no—
691C22×D61—42no—
692C22×D61—81no—
693C22×D61—81no—
694C22×D61C22×D411yescharacteristic
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—81no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—81no—
706D4×C61—81no—
707D4×C61—81no—
708D4×C61—81no—
709D4×C61—81no—
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—81no—
718C2×C4×C61—81no—
719C2×C4×C61—81no—
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C2511yescharacteristic
726C22⋊D61—41no—
727C22⋊D61—41no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61—81no—
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755D244—21no—
756D244—41no—
757D244—42no—
758D244C2×#4112yes—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—41no—
764C4×D61—41no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772Dic122—21no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—41no—
778Dic122—42no—
779Dic122—81no—
780Dic122C2×#4112yes—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61C2×#4112yes—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418—21no—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
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—21no—
807C2×D61—21no—
808C2×D61—21no—
809C2×D61—22no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
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—22no—
830Dic61—21no—
831Dic61—21no—
832Dic61—41no—
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#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179D6111yescharacteristic, complemented
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—41no—
870C2×C61—81no—
871C2×C61—81no—
872C2×C61—81no—
873C2×C61D4×#4111yescharacteristic
874C2×C61#358411yescharacteristic
875C2×C61#358411yescharacteristic
876D61—41no—
877D61—41no—
878D61—42no—
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—611no—
888#555—1221no—
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#547—611no—
904#546—611no—
905#546—611no—
906#542—611no—
907#542—1221no—
908#542C2×D6111yescharacteristic
909#541—611no—
910#540—1221no—
911#540C2×D6111yescharacteristic, complemented
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#501C2×D6111yescharacteristic, complemented
929#499—611no—
930#497—611no—
931#496C2×D6111yescharacteristic
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488C2×D6111yescharacteristic
937#487—611no—
938#486C2×D6111yescharacteristic, complemented
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
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#476—611no—
961#475—611no—
962#474—611no—
963#470—611no—
964#469C2×D6111yescharacteristic
965#468—611no—
966#468C2×D6111yescharacteristic, complemented
967#467—611no—
968#467—611no—
969#466—611no—
970#466C2×D6111yescharacteristic
971#465—611no—
972#465—611no—
973#465—611no—
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#461—611no—
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#449—611no—
996#449—611no—
997#448—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442C2×D6111yescharacteristic
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#440C2×D6111yescharacteristic, complemented
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×SD16C2×D6111yescharacteristic, complemented
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×D4—611no—
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#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405C2×D6111yescharacteristic, complemented
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41—611no—
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×D8C22×D6111yescharacteristic
1075C2×D8C22×D6111yescharacteristic
1076C2×M16—611no—
1077C2×M16C22×D6111yescharacteristic
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8C22×D6111yescharacteristic
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—1221no—
1087#127C22×D6111yescharacteristic
1088#126—21no—
1089#126—611no—
1090#126—611no—
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—1221no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125C22×D6111yescharacteristic
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124C22×D6111yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—611no—
1132#123—611no—
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—21no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—611no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121C22×D6111yescharacteristic
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—1221no—
1193C4×Q8—1221no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8C22×D6111yescharacteristic
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—611no—
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#117—1221no—
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—1221no—
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#107C22×D6111yescharacteristic
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⋊C8—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#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#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
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⋊C8—611no—
1318C22⋊C8—611no—
1319#97—611no—
1320#97—611no—
1321#97C22×D6111yescharacteristic
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8C22×D6111yescharacteristic
1328C4×C8C22×D6111yescharacteristic
1329C24—1221no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—2441no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—611no—
1343C2×Q8—1221no—
1344C2×Q8—1222no—
1345C2×Q8—1221no—
1346C2×Q8—2441no—
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—611no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1222no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—2441no—
1367C2×D4C23×D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—611no—
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×C4—1221no—
1391C22×C4C23×D6111yescharacteristic
1392Q16—1222no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—2441no—
1396SD16—22no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—22no—
1405D8—41no—
1406D8—1222no—
1407D8—1222no—
1408M16—22no—
1409M16—1222no—
1410C2×C8—41no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—1222no—
1416C2×C8—2441no—
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—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4D4×D6111yescharacteristic
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—21no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
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—611no—
1516C42—611no—
1517C42—611no—
1518C42—611no—
1519C42—1221no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—611no—
1538C23—611no—
1539C23—1221no—
1540C23—4881no—
1541C23—4881no—
1542C23—2442no—
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—81no—
1547Q8—612no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—612no—
1568D4—1221no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—2441no—
1573D4—2442no—
1574D4—2441no—
1575D4—2441no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4—2442no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—611no—
1591C2×C4—611no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—2441no—
1617C2×C4—2441no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8#41×D6112yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—1221no—
1650C22—1221no—
1651C22—1222no—
1652C22—1221no—
1653C22—1221no—
1654C22—1221no—
1655C22—1221no—
1656C22—9762no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—1221no—
1671C4—1221no—
1672C4—1222no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059811yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—81no—
1688C2—81no—
1689C2—2441no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930511yescharacteristic
1693C2#2146058711yescharacteristic
1694C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3179C2
socleC22×C61C23×D4
hypercenter#3179D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #21459922C2semidirect
2. #21459885C2semidirect
3. #21458880C2semidirect
4. #21458763C2semidirect
5. #21458501C2semidirect
6. #21458484C2semidirect
7. #21458385C2semidirect
8. #21458348C2semidirect
9. #21458314C2semidirect
10. #21457757C2semidirect
11. #21457742C2semidirect
12. #21457727C2semidirect
13. #21457712C2semidirect
14. #21457664C2semidirect
15. #21457653C2semidirect
16. #21457457C2semidirect
17. #21457381C2semidirect
18. #21457358C2semidirect
19. #21456483C2semidirect
20. #21456387C2semidirect
21. #21456042C2semidirect
22. #21456037C2semidirect
23. #21456012C2semidirect
24. #21456001C2semidirect
25. #21455926C2semidirect
26. #21455924C2semidirect
27. #21454790C2semidirect
28. #21454664C2semidirect
29. #21454644C2semidirect
30. C4×#14519798C2semidirect
31. C61×#3179C2semidirect
35. #16840498C22semidirect
37. #16840489C22semidirect
41. #16840476C22semidirect
55. #16840418C22semidirect
66. #16840294C22semidirect
74. #16840239C22semidirect
77. C4×#11758224C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840153C22semidirect
83. #16840115C22semidirect
84. #16840115C22semidirect
85. #16840111C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840100C22semidirect
94. #16840084C22semidirect
96. #16840078C22semidirect
97. #16840073C22semidirect
98. #16840072C22semidirect
99. #16840071C22semidirect
100. #16840068C22semidirect
101. #16840066C22semidirect
103. #16840064C22semidirect
104. #16840064C22semidirect
106. #16840054C22semidirect
108. #16840044C22semidirect
112. #16840004C22semidirect
117. #16839990C22semidirect
119. #16839982C22semidirect
126. #16839971C22semidirect
127. #16839965C22semidirect
128. #16839959C22semidirect
132. #16839925C22semidirect
134. #16839917C22semidirect
142. #16839890C22semidirect
143. C8×Dic122C22semidirect
146. #16839870C22semidirect
147. #16839870C22semidirect
148. #16839867C22semidirect
152. #16839862C22semidirect
154. C4×Dic244C22semidirect
155. C4×Dic244C22semidirect
156. C4×#11758202C22semidirect
157. #16839854C22semidirect
161. SD16×Dic61C22semidirect
164. C4×#11758200C22semidirect
170. #16839831C22semidirect
173. C8×C22⋊D61C22semidirect
175. #16839823C22semidirect
176. #16839817C22semidirect
177. #16839804C22semidirect
179. #16839797C22semidirect
183. #16839755C22semidirect
184. C2×#14519702C22semidirect
187. C4×C8×D61C22semidirect
189. C61×#540C22semidirect
190. C61×#501C22semidirect
193. C61×#486C22semidirect
195. C61×#468C22semidirect
197. C61×#465C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
202. C61×#405C22semidirect
856. #3179D61semidirect
911. #540C2×D61semidirect
928. #501C2×D61semidirect
938. #486C2×D61semidirect
966. #468C2×D61semidirect
974. #465C2×D61semidirect
1012. #440C2×D61semidirect
1024. C4×SD16C2×D61semidirect
1048. #405C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599222
#214598852
#214588802
#214587632
#214585012
#214584842
#214583852
#214583482
#214583142
#214577572
#214577422
#214577272
#214577122
#214576642
#214576532
#214574572
#214573812
#214573582
#214564832
#214563872
#214560422
#214560372
#214560122
#214560012
#214559262
#214559242
#214547902
#214546642
#214546442
C4×#145197982
C61×#31792
#6150061