Finite Group Databasebeta

← #30575477

Subgroups — #30575477

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460378C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458899C211yesmaximal, characteristic, complemented
4#21458898C211yesmaximal, characteristic, complemented
5#21458558C211yesmaximal, characteristic, complemented
6#21458556C211yesmaximal, characteristic, complemented
7#21458100C211yesmaximal, characteristic, complemented
8#21458096C211yesmaximal, characteristic, complemented
9#21458008C211yesmaximal, characteristic, complemented
10#21458001C211yesmaximal, characteristic, complemented
11#21457856C211yesmaximal, characteristic, complemented
12#21457454C211yesmaximal, characteristic, complemented
13#21457446C211yesmaximal, characteristic, complemented
14#21457396C211yesmaximal, characteristic, complemented
15#21457394C211yesmaximal, characteristic, complemented
16#21457387C211yesmaximal, characteristic, complemented
17#21457386C211yesmaximal, characteristic, complemented
18#21457291C211yesmaximal, characteristic, complemented
19#21457283C211yesmaximal, characteristic, complemented
20#21457209C211yesmaximal, characteristic, complemented
21#21456932C211yesmaximal, characteristic, complemented
22#21456929C211yesmaximal, characteristic, complemented
23#21456819C211yesmaximal, characteristic, complemented
24#21456046C211yesmaximal, characteristic, complemented
25#21456043C211yesmaximal, characteristic, complemented
26#21455976C211yesmaximal, characteristic, complemented
27#21455352C211yesmaximal, characteristic, complemented
28#21455347C211yesmaximal, characteristic, complemented
29#21455312C211yesmaximal, characteristic, complemented
30#21454990C211yesmaximal, characteristic, complemented
31C61×#3311C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519807C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519803C2211yescharacteristic
36C22×Dic244C2211yescharacteristic, complemented
37C2×Q16×D61C2211yescharacteristic, complemented
38#16840515—21no—
39#16840507—21no—
40#16840492C2211yescharacteristic, complemented
41#16840484—21no—
42#16840484C2211yescharacteristic, complemented
43#16840482C2211yescharacteristic
44#16840481C2211yescharacteristic
45#16840480C2211yescharacteristic
46#16840479—21no—
47#16840479—21no—
48#16840475C2211yescharacteristic, complemented
49#16840474—21no—
50#16840443—21no—
51#16840438—21no—
52D4×Dic122C2211yescharacteristic
53#16840425C2211yescharacteristic
54#16840425C2211yescharacteristic, complemented
55#16840422C2211yescharacteristic
56#16840421C2211yescharacteristic
57#16840419C2211yescharacteristic
58#16840418C2211yescharacteristic
59#16840406C2211yescharacteristic
60#16840388—21no—
61#16840386C2211yescharacteristic, complemented
62#16840385C2211yescharacteristic, complemented
63#16840380—21no—
64#16840379—21no—
65#16840379C2211yescharacteristic
66#16840378—21no—
67#16840377C2211yescharacteristic
68#16840376—21no—
69#16840347—21no—
70#16840333C2211yescharacteristic
71#16840332C2211yescharacteristic
72#16840316—21no—
73#16840314C2211yescharacteristic
74#16840314C2211yescharacteristic
75#16840295—21no—
76#16840292C2211yescharacteristic
77C2×#14519764C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic
81#16840156C2211yescharacteristic, complemented
82#16840155C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic
84#16840153C2211yescharacteristic
85#16840144C2211yescharacteristic
86#16840143C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840120C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840114C2211yescharacteristic, complemented
91#16840111C2211yescharacteristic, complemented
92#16840105C2211yescharacteristic, complemented
93#16840103C2211yescharacteristic
94#16840103C2211yescharacteristic, complemented
95#16840085C2211yescharacteristic
96#16840056C2211yescharacteristic, complemented
97#16840051C2211yescharacteristic, complemented
98#16840050C2211yescharacteristic
99#16840046C2211yescharacteristic, complemented
100#16840046C2211yescharacteristic, complemented
101#16840046C2211yescharacteristic, complemented
102#16840045C2211yescharacteristic, complemented
103#16840045C2211yescharacteristic, complemented
104#16840044C2211yescharacteristic, complemented
105#16840021C2211yescharacteristic, complemented
106#16840020C2211yescharacteristic
107#16840018C2211yescharacteristic
108#16840018C2211yescharacteristic
109#16840018C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic
111#16840013C2211yescharacteristic
112#16839992C2211yescharacteristic, complemented
113#16839991C2211yescharacteristic, complemented
114#16839990C2211yescharacteristic
115#16839987C2211yescharacteristic, complemented
116#16839985C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic
119#16839983C2211yescharacteristic
120#16839983C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839983C2211yescharacteristic
123#16839983C2211yescharacteristic
124#16839983C2211yescharacteristic
125#16839982C2211yescharacteristic
126#16839982C2211yescharacteristic
127#16839981C2211yescharacteristic
128#16839979C2211yescharacteristic
129#16839977C2211yescharacteristic
130#16839976C2211yescharacteristic
131#16839976C2211yescharacteristic
132#16839976C2211yescharacteristic
133#16839976C2211yescharacteristic
134#16839973C2211yescharacteristic, complemented
135#16839972C2211yescharacteristic, complemented
136#16839971C2211yescharacteristic, complemented
137#16839971C2211yescharacteristic, complemented
138#16839971C2211yescharacteristic, complemented
139#16839971C2211yescharacteristic, complemented
140#16839971C2211yescharacteristic, complemented
141#16839970C2211yescharacteristic, complemented
142#16839970C2211yescharacteristic, complemented
143#16839966C2211yescharacteristic, complemented
144#16839926C2211yescharacteristic
145#16839925C2211yescharacteristic
146#16839922C2211yescharacteristic
147#16839920C2211yescharacteristic
148#16839920C2211yescharacteristic, complemented
149#16839919C2211yescharacteristic, complemented
150#16839919C2211yescharacteristic, complemented
151#16839917C2211yescharacteristic
152#16839917C2211yescharacteristic, complemented
153#16839913C2211yescharacteristic
154#16839908C2211yescharacteristic
155#16839907C2211yescharacteristic
156#16839903C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839900C2211yescharacteristic
159#16839899C2211yescharacteristic
160#16839890C2211yescharacteristic, complemented
161#16839889C2211yescharacteristic, complemented
162#16839870C2211yescharacteristic, complemented
163#16839868C2211yescharacteristic, complemented
164#16839868C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839865C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic
169#16839856C2211yescharacteristic, complemented
170C4×#11758202C2211yescharacteristic, complemented
171#16839853C2211yescharacteristic
172C4×#11758200C2211yescharacteristic
173#16839840C2211yescharacteristic
174#16839837C2211yescharacteristic
175#16839836C2211yescharacteristic, complemented
176#16839833C2211yescharacteristic, complemented
177#16839831C2211yescharacteristic
178#16839824C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic
181#16839788C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839785C2211yescharacteristic
184#16839770C2211yescharacteristic
185#16839770C2211yescharacteristic, complemented
186#16839769C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#476C2211yescharacteristic
194C61×#470C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210#14519810—42no—
211#14519807—42no—
212#14519806—42no—
213#14519803—42no—
214C2×Dic244—42no—
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×Dic244C2311yescharacteristic
220C2×Dic244C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758202C2311yescharacteristic
225C2×#11758202C2311yescharacteristic
226Q16×D61—42no—
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758200C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C2×#11758194C2311yescharacteristic
239C2×#11758189C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519777C2311yescharacteristic
242#14519776—21no—
243#14519776—21no—
244#14519776—21no—
245#14519776—21no—
246#14519776C2311yescharacteristic
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519775—21no—
250#14519775—21no—
251#14519775C2311yescharacteristic
252#14519775C2311yescharacteristic
253#14519775C2311yescharacteristic
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772D411yescharacteristic
258#14519771—21no—
259#14519771—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770—21no—
266#14519770—21no—
267#14519770D411yescharacteristic
268#14519767—21no—
269#14519767—21no—
270#14519767D411yescharacteristic
271#14519766—21no—
272#14519766C2311yescharacteristic
273#14519765—21no—
274#14519765C2311yescharacteristic
275#14519764—21no—
276#14519764—21no—
277#14519764—21no—
278#14519764—21no—
279#14519764C2311yescharacteristic
280#14519764C2311yescharacteristic
281#14519764C2311yescharacteristic
282#14519764C2311yescharacteristic
283#14519764C2311yescharacteristic
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519763—21no—
291#14519763D411yescharacteristic
292#14519762—21no—
293#14519761D411yescharacteristic
294#14519760—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759—21no—
298#14519758—21no—
299#14519758—21no—
300#14519758—21no—
301#14519758—21no—
302#14519758D411yescharacteristic
303#14519757—21no—
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519756—21no—
307#14519756—21no—
308#14519756—21no—
309#14519756—21no—
310#14519756—21no—
311#14519756C2311yescharacteristic
312#14519756C2311yescharacteristic
313#14519756C2311yescharacteristic
314#14519755—21no—
315#14519755—21no—
316#14519755—21no—
317#14519755—21no—
318#14519755—21no—
319#14519754—21no—
320#14519754—21no—
321#14519754—21no—
322#14519754—21no—
323#14519754—21no—
324#14519754—21no—
325#14519754—21no—
326#14519754—21no—
327#14519754—21no—
328#14519754—21no—
329#14519754—21no—
330#14519754D411yescharacteristic
331#14519753—21no—
332#14519752C2311yescharacteristic
333#14519751C2311yescharacteristic
334#14519750—21no—
335#14519750—21no—
336#14519749—21no—
337#14519749—21no—
338#14519749—21no—
339#14519749D411yescharacteristic
340#14519748—21no—
341#14519748C2311yescharacteristic
342#14519746—21no—
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122C2311yescharacteristic
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742—21no—
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360#14519742C2311yescharacteristic
361#14519742C2311yescharacteristic
362#14519742C2311yescharacteristic
363D4×Dic61—21no—
364D4×Dic61—21no—
365D4×Dic61C2311yescharacteristic
366#14519739—21no—
367#14519739C2311yescharacteristic
368#14519739C2311yescharacteristic
369C4×C22⋊D61—21no—
370C4×C22⋊D61C2311yescharacteristic
371C4×C22⋊D61C2311yescharacteristic
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519736—21no—
378#14519736C2311yescharacteristic
379#14519735—21no—
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519734—21no—
383#14519734—21no—
384#14519734—21no—
385#14519734C2311yescharacteristic
386#14519733—21no—
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390#14519733—21no—
391C2×C22⋊Dic61—21no—
392C2×C22⋊Dic61—21no—
393C2×C22⋊Dic61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519700C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460C4×Q8×C61—21no—
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C22⋊C4×C61—21no—
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—41no—
494C2×D4×C61—41no—
495C2×D4×C61C2×D411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61C2×D411yescharacteristic
507C2×C22⋊D61C2×D411yescharacteristic
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61C2×D411yescharacteristic
514C22×Dic61C2×D411yescharacteristic
515Q8×D61—22no—
516Q8×D61—41no—
517Q8×D61—41no—
518Q8×D61—41no—
519#11758224—41no—
520#11758224—41no—
521#11758222—22no—
522#11758222—41no—
523C2×D244—21no—
524C2×D244C2411yescharacteristic
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61C2411yescharacteristic
531C2×Dic122—22no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—41no—
541C2×Dic122—41no—
542C2×Dic122—41no—
543C2×Dic122—41no—
544C2×Dic122—41no—
545C2×Dic122C2×D411yescharacteristic
546C2×Dic122C2411yescharacteristic
547C2×Dic122C2411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552SD16×C61—41no—
553SD16×C61—41no—
554M16×C61—41no—
555C2×C8×C61—41no—
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61C2×D411yescharacteristic
580C22⋊C4×C61C2×D411yescharacteristic
581C42×C61—21no—
582C42×C61—21no—
583C42×C61—21no—
584C42×C61C2411yescharacteristic
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61C2×D411yescharacteristic
601C22⋊Dic61C2×D411yescharacteristic
602C22⋊Dic61C2×D411yescharacteristic
603C22⋊Dic61C2×D411yescharacteristic
604#11758202—22no—
605#11758202—41no—
606#11758202—41no—
607#11758202—41no—
608#11758202—41no—
609#11758201—41no—
610#11758200—22no—
611#11758200—22no—
612#11758200—41no—
613#11758200—41no—
614#11758199—41no—
615#11758199—41no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198C2×D411yescharacteristic
628#11758198C2×D411yescharacteristic
629#11758198C2×D411yescharacteristic
630#11758198C2×D411yescharacteristic
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61C2×D411yescharacteristic
638C4⋊Dic61C2×D411yescharacteristic
639C4⋊Dic61C2×D411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
641C4⋊Dic61C2411yescharacteristic
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196C2×D411yescharacteristic
664#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C4×Dic61C2411yescharacteristic
686#11758194—41no—
687#11758194—41no—
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692Dic244—22no—
693Dic244—22no—
694Dic244—22no—
695Dic244—41no—
696Dic244—41no—
697Dic244—41no—
698#11758190—41no—
699#11758190—41no—
700#11758190—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—42no—
706C23×C61—81no—
707C23×C61—81no—
708C23×C61C22×D411yescharacteristic
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—81no—
717D4×C61—21no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—41no—
722D4×C61—81no—
723D4×C61—81no—
724D4×C61—81no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—81no—
736C2×C4×C61—81no—
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C2511yescharacteristic
742C22⋊D61—41no—
743C22⋊D61—41no—
744C22⋊D61—42no—
745C22⋊D61—81no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—41no—
756C2×Dic61—41no—
757C2×Dic61—42no—
758C2×Dic61—81no—
759C2×Dic61—81no—
760C2×Dic61—81no—
761C2×Dic61—81no—
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769D244—21no—
770D244—21no—
771D244—81no—
772C4×D61—21no—
773C4×D61—21no—
774C4×D61—42no—
775C4×D61—42no—
776C4×D61—42no—
777C4×D61—81no—
778C4×D61—81no—
779Dic122—21no—
780Dic122—21no—
781Dic122—21no—
782Dic122—21no—
783Dic122—21no—
784Dic122—21no—
785Dic122—21no—
786Dic122—21no—
787Dic122—21no—
788Dic122—41no—
789Dic122—42no—
790Dic122—42no—
791Dic122—81no—
792Dic122—81no—
793Dic122—81no—
794Dic122—81no—
795Dic122—81no—
796Dic122—81no—
797Dic122H(5,𝔽2)12yes—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801C8×C61—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805#92418—21no—
806#62091—611nomaximal, Sylow
807C22×C61—21no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—21no—
811C22×C61—21no—
812C22×C61—21no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—162no—
820C22×C61C23×D411yescharacteristic
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—41no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61C2×H(5,𝔽2)11yescharacteristic
838C4×C61#58511yescharacteristic
839Dic61—21no—
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—21no—
845Dic61—22no—
846Dic61—21no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61—41no—
851Dic61—41no—
852Dic61—41no—
853#3561—611no—
854#3518—611no—
855#3402—611no—
856#3402—611no—
857#3369—611no—
858#3369—611no—
859#3328—611no—
860#3328—611no—
861#3321—611no—
862#3321—611no—
863#3311—611no—
864#3311D6111yescharacteristic, complemented
865#3275—611no—
866#3275—611no—
867#3270—611no—
868#3270—611no—
869#3270—611no—
870#3270—611no—
871#3263—611no—
872#3263—611no—
873#3255—611no—
874#3225—611no—
875#3225—611no—
876#3215—611no—
877#3121—611no—
878#3121—611no—
879#3116—611no—
880#3044—611no—
881#3044—611no—
882#3040—611no—
883#2995—611no—
884C2×C61—41no—
885C2×C61—41no—
886C2×C61—81no—
887C2×C61—81no—
888C2×C61#348811yescharacteristic
889C2×C61#358611yescharacteristic
890C2×C61#358611yescharacteristic
891D61—41no—
892D61—81no—
893C2×#137—611no—
894C2×#137—611no—
895C2×#137—611no—
896C2×AGL(1,ℤ/8)—611no—
897C22×Q16—611no—
898C22×Q16—611no—
899#563—1221no—
900#562—1221no—
901Q82—611no—
902#556—611no—
903#556—611no—
904#556—611no—
905#556—611no—
906#556—1221no—
907#556—1221no—
908#556—1221no—
909#556C2×D6111yescharacteristic
910#555—611no—
911#555—1221no—
912#551—1221no—
913#551—1221no—
914D4×Q8—611no—
915D4×Q8—611no—
916D4×Q8—611no—
917#548—611no—
918#548—611no—
919#548—611no—
920#548—611no—
921#546—611no—
922#546C2×D6111yescharacteristic
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—611no—
927#542—611no—
928#542—1221no—
929#542—1221no—
930#542—1221no—
931#542—1221no—
932#538—1221no—
933#536—611no—
934#536—611no—
935#533—611no—
936#533—611no—
937#533—1221no—
938#529—611no—
939#529—1221no—
940C2×#124—611no—
941#519—611no—
942#519—611no—
943C4×#41—611no—
944#497—611no—
945#497—611no—
946#497—611no—
947#497—611no—
948#495—611no—
949#495—611no—
950#489—611no—
951#489—611no—
952#489—611no—
953#489C2×D6111yescharacteristic
954#487—611no—
955#487—611no—
956#485—611no—
957#485—611no—
958#485—611no—
959#485C2×D6111yescharacteristic
960#482—611no—
961#482C2×D6111yescharacteristic
962#477—611no—
963#476—611no—
964#476—611no—
965#476C2×D6111yescharacteristic
966#475—611no—
967#475—611no—
968#475—611no—
969#475—611no—
970#475—611no—
971#475—611no—
972#470—611no—
973#470—611no—
974#470—611no—
975#470—611no—
976#470—611no—
977#470C2×D6111yescharacteristic
978#469—611no—
979#469—611no—
980#465—611no—
981#465—611no—
982#465—611no—
983#465C2×D6111yescharacteristic
984#464—611no—
985#464—611no—
986#464—611no—
987#464—611no—
988#464—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464C2×D6111yescharacteristic
998#463—611no—
999#463—611no—
1000#463—611no—
1001#463—611no—
1002#463—611no—
1003#463—611no—
1004#462—611no—
1005#462—611no—
1006#462—611no—
1007#462—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#461—611no—
1014#452—611no—
1015#452—611no—
1016#452—611no—
1017#452C2×D6111yescharacteristic
1018#451—611no—
1019#451—611no—
1020#451—611no—
1021#451—611no—
1022#451—611no—
1023#451—611no—
1024#450—611no—
1025#450C2×D6111yescharacteristic
1026#449—611no—
1027#449—611no—
1028#448—611no—
1029#448—611no—
1030#448—611no—
1031#448—611no—
1032#446—611no—
1033#446—611no—
1034#441—611no—
1035#441—611no—
1036#441—611no—
1037#441—611no—
1038#440—611no—
1039#440—611no—
1040#440—611no—
1041#440C2×D6111yescharacteristic
1042C4×Q16—611no—
1043C4×Q16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046#436—611no—
1047#436—611no—
1048#435—611no—
1049#435—611no—
1050#435—611no—
1051#435C2×D6111yescharacteristic
1052#433—611no—
1053#433—611no—
1054#432—611no—
1055#424—611no—
1056#424—611no—
1057#423—611no—
1058#419—611no—
1059#419—611no—
1060#419—611no—
1061#418C2×D6111yescharacteristic
1062#416—611no—
1063#416C2×D6111yescharacteristic
1064C61#6209111yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41C22×D6111yescharacteristic
1068C22×Q8—611no—
1069C22×Q8—611no—
1070C22×Q8—611no—
1071C22×Q8—611no—
1072C22×Q8—611no—
1073C22×D4C22×D6111yescharacteristic
1074#137—2442no—
1075#137—2442no—
1076#137—2442no—
1077AGL(1,ℤ/8)—2442no—
1078C2×Q16—611no—
1079C2×Q16—611no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—2442no—
1090C2×Q16—2442no—
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8—611no—
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16—611no—
1107C2×M16C22×D6111yescharacteristic
1108C22×C8—611no—
1109C22×C8C22×D6111yescharacteristic
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8—611no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—611no—
1116C4⋊Q8—611no—
1117C4⋊Q8—1221no—
1118C4⋊Q8—1221no—
1119C4⋊Q8—1221no—
1120C4⋊Q8—1221no—
1121C4⋊Q8—1221no—
1122C4⋊Q8—1221no—
1123C4⋊Q8C22×D6111yescharacteristic
1124#126—21no—
1125#126—21no—
1126#126—611no—
1127#126—611no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#126—1221no—
1132#126—1221no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#125—611no—
1141#125—1221no—
1142#125—1221no—
1143#124—21no—
1144#124—611no—
1145#124—611no—
1146#124—611no—
1147#124—611no—
1148#124—611no—
1149#124—611no—
1150#124—611no—
1151#124—611no—
1152#124—1221no—
1153#124—1221no—
1154#124—1221no—
1155#124—1221no—
1156#124—1221no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124C22×D6111yescharacteristic
1166#123—21no—
1167#123—611no—
1168#123—611no—
1169#123—1221no—
1170#123—1221no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178C22⋊Q8—611no—
1179C22⋊Q8—611no—
1180C22⋊Q8—611no—
1181C22⋊Q8—611no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—1221no—
1185C22⋊Q8—1221no—
1186C22⋊Q8—1221no—
1187C22⋊Q8—1221no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8C22×D6111yescharacteristic
1208C22⋊Q8C22×D6111yescharacteristic
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—21no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—611no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121C22×D6111yescharacteristic
1222#120—21no—
1223#120—1221no—
1224C4×Q8—21no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—611no—
1228C4×Q8—611no—
1229C4×Q8—611no—
1230C4×Q8—611no—
1231C4×Q8—611no—
1232C4×Q8—611no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—1221no—
1238C4×Q8—1221no—
1239C4×Q8—1221no—
1240C4×Q8—1221no—
1241C4×Q8—1221no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8C22×D6111yescharacteristic
1246C4×D4—611no—
1247C4×D4—611no—
1248C4×D4—611no—
1249C4×D4—611no—
1250C4×D4—611no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4C22×D6111yescharacteristic
1261C4×D4C22×D6111yescharacteristic
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—1221no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117—1221no—
1272#117—1221no—
1273#117—1221no—
1274#117—1221no—
1275#117—1221no—
1276#117C22×D6111yescharacteristic
1277#117C22×D6111yescharacteristic
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107C22×D6111yescharacteristic
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106C22×D6111yescharacteristic
1291#106C22×D6111yescharacteristic
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8—611no—
1295C4⋊C8—611no—
1296C4⋊C8—611no—
1297C4⋊C8—611no—
1298C4⋊C8—611no—
1299C4⋊C8—611no—
1300C4⋊C8—611no—
1301C4⋊C8C22×D6111yescharacteristic
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103C22×D6111yescharacteristic
1321#103C22×D6111yescharacteristic
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102C22×D6111yescharacteristic
1329#102C22×D6111yescharacteristic
1330#102C22×D6111yescharacteristic
1331#102C22×D6111yescharacteristic
1332#102C22×D6111yescharacteristic
1333#102C22×D6111yescharacteristic
1334C22⋊C8—611no—
1335C22⋊C8—611no—
1336C22⋊C8—611no—
1337C22⋊C8—611no—
1338C22⋊C8C22×D6111yescharacteristic
1339C22⋊C8C22×D6111yescharacteristic
1340#97—611no—
1341#97—611no—
1342#97—611no—
1343#97C22×D6111yescharacteristic
1344C4×C8—611no—
1345C4×C8—611no—
1346C24—21no—
1347#41—41no—
1348#41—41no—
1349#41—1222no—
1350#41—2441no—
1351#41—2441no—
1352#41—2441no—
1353C2×Q8—21no—
1354C2×Q8—611no—
1355C2×Q8—611no—
1356C2×Q8—611no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—1221no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—1222no—
1366C2×Q8—1221no—
1367C2×Q8—1221no—
1368C2×Q8—1221no—
1369C2×Q8—1222no—
1370C2×Q8—2441no—
1371C2×Q8—2441no—
1372C2×Q8—2441no—
1373C2×Q8—2441no—
1374C2×Q8—2441no—
1375C2×Q8—2441no—
1376C2×Q8—2441no—
1377C2×Q8—2441no—
1378C2×Q8C23×D6111yescharacteristic
1379C2×Q8C23×D6111yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—611no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4D4×D6111yescharacteristic
1394C2×D4C23×D6111yescharacteristic
1395C2×D4C23×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413Q16—41no—
1414Q16—1222no—
1415Q16—1222no—
1416Q16—1222no—
1417Q16—1222no—
1418Q16—2441no—
1419Q16—2441no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—41no—
1426SD16—41no—
1427SD16—1222no—
1428SD16—1222no—
1429SD16—2441no—
1430SD16—2441no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—2441no—
1436D8—2441no—
1437M16—41no—
1438M16—2441no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—41no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—611no—
1446C2×C8—2441no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4D4×D6111yescharacteristic
1495C4⋊C4C23×D6111yescharacteristic
1496C4⋊C4C23×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4D4×D6111yescharacteristic
1543C22⋊C4D4×D6111yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—611no—
1548C42—611no—
1549C42—611no—
1550C42—611no—
1551C42—611no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42—1221no—
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—81no—
1569C23—81no—
1570C23—611no—
1571C23—1221no—
1572C23C2×D4×D6111yescharacteristic
1573C23C2×D4×D6111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—81no—
1579Q8—612no—
1580Q8—1221no—
1581Q8—1221no—
1582Q8—1221no—
1583Q8—1221no—
1584Q8—1221no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—4881no—
1590Q8—4881no—
1591Q8—4881no—
1592Q8—4881no—
1593Q8—4881no—
1594Q8—4881no—
1595Q8—2441no—
1596Q8—2442no—
1597Q8—2442no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—41no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—1221no—
1607D4—1221no—
1608D4—4881no—
1609D4—4881no—
1610D4—4881no—
1611D4—4881no—
1612D4—2441no—
1613D4—2441no—
1614D4—2442no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—611no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—611no—
1632C2×C4—611no—
1633C2×C4—611no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—4881no—
1644C2×C4—4881no—
1645C2×C4—4881no—
1646C2×C4—4881no—
1647C2×C4—4881no—
1648C2×C4—4881no—
1649C2×C4—2442no—
1650C2×C4—2442no—
1651C2×C4—2442no—
1652C2×C4—2441no—
1653C2×C4—2441no—
1654C2×C4—2442no—
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C2×D4×D6111yescharacteristic
1657C2×C4C2×D4×D6111yescharacteristic
1658C2×C4C2×D4×D6111yescharacteristic
1659C2×C4C24×D6111yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—1221no—
1665C8—1221no—
1666C8—1221no—
1667C8—1221no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—162no—
1681C22—1221no—
1682C22—1221no—
1683C22—1221no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—1221no—
1699C4—1222no—
1700C4—1221no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—1221no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4—2441no—
1712C4H(5,𝔽2)×D6111yescharacteristic
1713C4#1684059811yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—4881no—
1719C2—2441no—
1720C2#2145948211yescharacteristic
1721C2#2146060111yescharacteristic
1722C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3311C2
socleC22×C61C23×D4
hypercenter#3311D61
hypocenterC61#62091
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #21460378C2semidirect
2. #21459829C2semidirect
3. #21458899C2semidirect
4. #21458898C2semidirect
5. #21458558C2semidirect
6. #21458556C2semidirect
7. #21458100C2semidirect
8. #21458096C2semidirect
9. #21458008C2semidirect
10. #21458001C2semidirect
11. #21457856C2semidirect
12. #21457454C2semidirect
13. #21457446C2semidirect
14. #21457396C2semidirect
15. #21457394C2semidirect
16. #21457387C2semidirect
17. #21457386C2semidirect
18. #21457291C2semidirect
19. #21457283C2semidirect
20. #21457209C2semidirect
21. #21456932C2semidirect
22. #21456929C2semidirect
23. #21456819C2semidirect
24. #21456046C2semidirect
25. #21456043C2semidirect
26. #21455976C2semidirect
27. #21455352C2semidirect
28. #21455347C2semidirect
29. #21455312C2semidirect
30. #21454990C2semidirect
31. C61×#3311C2semidirect
36. C22×Dic244C22semidirect
37. C2×Q16×D61C22semidirect
40. #16840492C22semidirect
42. #16840484C22semidirect
48. #16840475C22semidirect
54. #16840425C22semidirect
61. #16840386C22semidirect
62. #16840385C22semidirect
78. #16840239C22semidirect
79. #16840238C22semidirect
81. #16840156C22semidirect
82. #16840155C22semidirect
90. #16840114C22semidirect
91. #16840111C22semidirect
92. #16840105C22semidirect
94. #16840103C22semidirect
96. #16840056C22semidirect
97. #16840051C22semidirect
99. #16840046C22semidirect
100. #16840046C22semidirect
101. #16840046C22semidirect
102. #16840045C22semidirect
103. #16840045C22semidirect
104. #16840044C22semidirect
105. #16840021C22semidirect
109. #16840018C22semidirect
112. #16839992C22semidirect
113. #16839991C22semidirect
115. #16839987C22semidirect
116. #16839985C22semidirect
134. #16839973C22semidirect
135. #16839972C22semidirect
136. #16839971C22semidirect
137. #16839971C22semidirect
138. #16839971C22semidirect
139. #16839971C22semidirect
140. #16839971C22semidirect
141. #16839970C22semidirect
142. #16839970C22semidirect
143. #16839966C22semidirect
148. #16839920C22semidirect
149. #16839919C22semidirect
150. #16839919C22semidirect
152. #16839917C22semidirect
156. #16839903C22semidirect
157. #16839902C22semidirect
160. #16839890C22semidirect
161. #16839889C22semidirect
162. #16839870C22semidirect
163. #16839868C22semidirect
164. #16839868C22semidirect
165. #16839866C22semidirect
166. #16839865C22semidirect
167. #16839861C22semidirect
169. #16839856C22semidirect
170. C4×#11758202C22semidirect
175. #16839836C22semidirect
176. #16839833C22semidirect
178. #16839824C22semidirect
179. #16839820C22semidirect
181. #16839788C22semidirect
182. #16839787C22semidirect
185. #16839770C22semidirect
186. #16839769C22semidirect
864. #3311D61semidirect
1064. C61#62091semidirect

Maximal subgroups

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

subgroupindex
#214603782
#214598292
#214588992
#214588982
#214585582
#214585562
#214581002
#214580962
#214580082
#214580012
#214578562
#214574542
#214574462
#214573962
#214573942
#214573872
#214573862
#214572912
#214572832
#214572092
#214569322
#214569292
#214568192
#214560462
#214560432
#214559762
#214553522
#214553472
#214553122
#214549902
C61×#33112
#6209161