Finite Group Databasebeta

← #30575484

Subgroups — #30575484

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#21460380C211yesmaximal, characteristic, complemented
2#21459832C211yesmaximal, characteristic, complemented
3#21458901C211yesmaximal, characteristic, complemented
4#21458895C211yesmaximal, characteristic, complemented
5#21458564C211yesmaximal, characteristic, complemented
6#21458556C211yesmaximal, characteristic, complemented
7#21458101C211yesmaximal, characteristic, complemented
8#21458095C211yesmaximal, characteristic, complemented
9#21458009C211yesmaximal, characteristic, complemented
10#21457998C211yesmaximal, characteristic, complemented
11#21457859C211yesmaximal, characteristic, complemented
12#21457854C211yesmaximal, characteristic, complemented
13#21457449C211yesmaximal, characteristic, complemented
14#21457448C211yesmaximal, characteristic, complemented
15#21457393C211yesmaximal, characteristic, complemented
16#21457388C211yesmaximal, characteristic, complemented
17#21457387C211yesmaximal, characteristic, complemented
18#21457382C211yesmaximal, characteristic, complemented
19#21457286C211yesmaximal, characteristic, complemented
20#21457284C211yesmaximal, characteristic, complemented
21#21457211C211yesmaximal, characteristic, complemented
22#21456927C211yesmaximal, characteristic, complemented
23#21456820C211yesmaximal, characteristic, complemented
24#21456050C211yesmaximal, characteristic, complemented
25#21456047C211yesmaximal, characteristic, complemented
26#21455978C211yesmaximal, characteristic, complemented
27#21455345C211yesmaximal, characteristic, complemented
28#21455344C211yesmaximal, characteristic, complemented
29#21455308C211yesmaximal, characteristic, complemented
30#21454984C211yesmaximal, characteristic, complemented
31C61×#3225C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519807C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36C22×#11758202C2211yescharacteristic, complemented
37C2×Q16×D61C2211yescharacteristic, complemented
38#16840513—21no—
39#16840509—21no—
40#16840492C2211yescharacteristic, complemented
41#16840486C2211yescharacteristic
42#16840486C2211yescharacteristic
43#16840483C2211yescharacteristic
44#16840481—21no—
45#16840481C2211yescharacteristic
46#16840481C2211yescharacteristic, complemented
47#16840479—21no—
48#16840479—21no—
49#16840476C2211yescharacteristic, complemented
50#16840474—21no—
51#16840440—21no—
52#16840439—21no—
53#16840427C2211yescharacteristic
54Q8×C22⋊D61C2211yescharacteristic
55#16840425C2211yescharacteristic, complemented
56#16840423C2211yescharacteristic
57#16840420C2211yescharacteristic
58#16840419C2211yescharacteristic
59#16840418C2211yescharacteristic
60#16840405C2211yescharacteristic
61#16840400C2211yescharacteristic
62#16840387—21no—
63#16840383C2211yescharacteristic
64#16840382—21no—
65#16840382—21no—
66#16840381C2211yescharacteristic
67#16840380—21no—
68#16840380—21no—
69#16840377C2211yescharacteristic, complemented
70#16840348—21no—
71#16840337C2211yescharacteristic
72#16840317C2211yescharacteristic
73#16840316C2211yescharacteristic
74#16840314—21no—
75#16840290C2211yescharacteristic
76#16840289—21no—
77#124×D61C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80C4×#11758224C2211yescharacteristic
81#16840155C2211yescharacteristic
82#16840153C2211yescharacteristic
83#16840153C2211yescharacteristic, complemented
84#16840143C2211yescharacteristic
85#16840123C2211yescharacteristic
86#16840123C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840111C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840102C2211yescharacteristic
91#16840102C2211yescharacteristic
92#16840102C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840058C2211yescharacteristic, complemented
96#16840052C2211yescharacteristic, complemented
97#16840050C2211yescharacteristic
98#16840049C2211yescharacteristic
99#16840048C2211yescharacteristic, complemented
100#16840047C2211yescharacteristic, complemented
101#16840045C2211yescharacteristic, complemented
102#16840045C2211yescharacteristic, complemented
103#16840045C2211yescharacteristic, complemented
104#16840044C2211yescharacteristic, complemented
105#16840019C2211yescharacteristic
106#16840019C2211yescharacteristic
107#16840019C2211yescharacteristic, complemented
108#16840018C2211yescharacteristic, complemented
109#16840017C2211yescharacteristic
110#16840017C2211yescharacteristic
111#16840013C2211yescharacteristic
112#16840012C2211yescharacteristic
113#16839993C2211yescharacteristic
114#16839990C2211yescharacteristic
115#16839989C2211yescharacteristic, complemented
116#16839988C2211yescharacteristic, complemented
117#16839987C2211yescharacteristic
118#16839987C2211yescharacteristic
119#16839986C2211yescharacteristic
120#16839985C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839984C2211yescharacteristic
123#16839983C2211yescharacteristic
124#16839982C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic
126#16839981C2211yescharacteristic
127#16839981C2211yescharacteristic
128#16839981C2211yescharacteristic
129#16839981C2211yescharacteristic, complemented
130#16839979C2211yescharacteristic
131#16839977C2211yescharacteristic
132#16839975C2211yescharacteristic
133#16839975C2211yescharacteristic
134#16839974C2211yescharacteristic
135#16839971C2211yescharacteristic, complemented
136#16839970C2211yescharacteristic, complemented
137#16839970C2211yescharacteristic, complemented
138#16839970C2211yescharacteristic, complemented
139#16839969C2211yescharacteristic, complemented
140#16839969C2211yescharacteristic, complemented
141#16839969C2211yescharacteristic, complemented
142#16839969C2211yescharacteristic, complemented
143#16839927C2211yescharacteristic
144#16839921C2211yescharacteristic
145#16839921C2211yescharacteristic
146#16839920C2211yescharacteristic, complemented
147#16839919C2211yescharacteristic
148#16839919C2211yescharacteristic, complemented
149#16839916C2211yescharacteristic
150#16839916C2211yescharacteristic, complemented
151#16839914C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839906C2211yescharacteristic
154#16839903C2211yescharacteristic
155#16839899C2211yescharacteristic
156#16839899C2211yescharacteristic, complemented
157#16839892C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839870C2211yescharacteristic, complemented
160#16839866C2211yescharacteristic, complemented
161#16839866C2211yescharacteristic, complemented
162#16839866C2211yescharacteristic, complemented
163#16839864C2211yescharacteristic
164#16839863C2211yescharacteristic
165#16839863C2211yescharacteristic, complemented
166#16839863C2211yescharacteristic, complemented
167C4×Dic244C2211yescharacteristic, complemented
168Q16×Dic61C2211yescharacteristic, complemented
169#16839853C2211yescharacteristic
170C4×#11758190C2211yescharacteristic
171#16839841C2211yescharacteristic
172#16839837C2211yescharacteristic
173#16839836C2211yescharacteristic, complemented
174#16839835C2211yescharacteristic
175#16839830C2211yescharacteristic
176#16839830C2211yescharacteristic, complemented
177#16839822C2211yescharacteristic, complemented
178#16839818C2211yescharacteristic
179#16839789C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic
182#16839771C2211yescharacteristic, complemented
183#16839769C2211yescharacteristic
184#16839769C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic
186#16839758C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#542C2211yescharacteristic, complemented
189C61×#536C2211yescharacteristic
190C61×#497C2211yescharacteristic, complemented
191C61×#495C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#487C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#462C2211yescharacteristic, complemented
197C61×#461C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic
199C61×#451C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic
201C61×#448C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C22×Dic122C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210#14519809—42no—
211#14519807—42no—
212#14519806—42no—
213#14519801—42no—
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×#11758202—42no—
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224Q16×D61—42no—
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758194C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C2×#11758189C2311yescharacteristic
236C22×#92418C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238#14519777C2311yescharacteristic
239#14519776—21no—
240#14519776—21no—
241#14519776—21no—
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519775—21no—
245#14519775—21no—
246#14519775—21no—
247#14519775C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772D411yescharacteristic
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770D411yescharacteristic
264#14519768—21no—
265#14519767—21no—
266#14519767D411yescharacteristic
267#14519766—21no—
268#14519766—21no—
269#14519766C2311yescharacteristic
270#14519766C2311yescharacteristic
271#14519765C2311yescharacteristic
272#14519764—21no—
273#14519764—21no—
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763D411yescharacteristic
286#14519762—21no—
287#14519762—21no—
288#14519762D411yescharacteristic
289#14519761—21no—
290#14519760—21no—
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759D411yescharacteristic
295#14519757—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519757C2311yescharacteristic
299#14519756—21no—
300#14519756—21no—
301#14519756—21no—
302#14519756C2311yescharacteristic
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755D411yescharacteristic
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519753—21no—
318#14519753—21no—
319#14519753C2311yescharacteristic
320#14519753C2311yescharacteristic
321#14519753C2311yescharacteristic
322#14519753C2311yescharacteristic
323#14519751—21no—
324#14519751C2311yescharacteristic
325#14519750—21no—
326#14519750—21no—
327#14519750D411yescharacteristic
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519748—21no—
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519747—21no—
335#14519745—21no—
336Q8×Dic61—21no—
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341C4×Dic122—21no—
342C4×Dic122—21no—
343C4×Dic122C2311yescharacteristic
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348C4×Dic122C2311yescharacteristic
349#14519742—21no—
350#14519742—21no—
351#14519742—21no—
352#14519742—21no—
353#14519742—21no—
354#14519742—21no—
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357C4×D244C2311yescharacteristic
358C4×D244C2311yescharacteristic
359D4×Dic61—21no—
360D4×Dic61C2311yescharacteristic
361D4×Dic61C2311yescharacteristic
362#14519739—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61C2311yescharacteristic
368C4×C22⋊D61C2311yescharacteristic
369#14519737—21no—
370#14519737—21no—
371#14519737—21no—
372#14519736C2311yescharacteristic
373#14519735—21no—
374#14519735—21no—
375#14519735—21no—
376#14519735C2311yescharacteristic
377#14519735C2311yescharacteristic
378#14519734—21no—
379#14519734—21no—
380#14519734C2311yescharacteristic
381#14519733—21no—
382#14519733—21no—
383#14519733—21no—
384#14519733—21no—
385#14519733—21no—
386#14519733—21no—
387C2×#11758198—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C22⋊C4×D61—21no—
391C2×C4×Dic61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519701C2311yescharacteristic
422#14519701C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×Q8×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C4⋊Q8×C61C2311yescharacteristic
452C4⋊Q8×C61C2311yescharacteristic
453C4⋊Q8×C61C2311yescharacteristic
454#126×C61—21no—
455#124×C61—21no—
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460#123×C61—21no—
461#123×C61—21no—
462C22⋊Q8×C61—21no—
463C22⋊Q8×C61—21no—
464C22⋊Q8×C61—21no—
465C22⋊Q8×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467C4×Q8×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469#117×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—41no—
490C2×Q8×C61—41no—
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61C2411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61C2411yescharacteristic
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61C2×D411yescharacteristic
509C2×C22⋊D61C2×D411yescharacteristic
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514#11758226—41no—
515#11758226—41no—
516Q8×D61—22no—
517Q8×D61—41no—
518Q8×D61—41no—
519Q8×D61—41no—
520Q8×D61—41no—
521Q8×D61—41no—
522#11758224—22no—
523#11758224—41no—
524D4×D61—41no—
525D4×D61—41no—
526C2×D244—21no—
527C2×D244C2×D411yescharacteristic
528C2×D244C2411yescharacteristic
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×Dic122—22no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—41no—
547C2×Dic122C2×D411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550C2×Dic122C2411yescharacteristic
551Q16×C61—41no—
552Q16×C61—41no—
553Q16×C61—41no—
554SD16×C61—41no—
555SD16×C61—41no—
556SD16×C61—41no—
557SD16×C61—41no—
558D8×C61—41no—
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2×D411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61C2×D411yescharacteristic
584C22⋊C4×C61C2×D411yescharacteristic
585C42×C61—21no—
586C42×C61C2411yescharacteristic
587C42×C61C2411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600#11758202—22no—
601#11758202—22no—
602#11758202—22no—
603#11758202—41no—
604#11758202—41no—
605#11758202—41no—
606#11758202—41no—
607#11758201—41no—
608#11758200—22no—
609#11758200—41no—
610#11758200—41no—
611#11758199—41no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
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#11758198—21no—
628#11758198C2×D411yescharacteristic
629#11758198C2×D411yescharacteristic
630#11758198C2×D411yescharacteristic
631#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61C2×D411yescharacteristic
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
664#11758196—21no—
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
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×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689#11758194—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—22no—
696Dic244—41no—
697#11758190—22no—
698#11758190—41no—
699#11758189—41no—
700#11758189—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C22×D61—21no—
707C22×D61—42no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61C22×D411yescharacteristic
711C22×D61C22×D411yescharacteristic
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—81no—
721Q8×C61—81no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—81no—
727D4×C61—81no—
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—21no—
736C2×C4×C61—81no—
737C2×C4×C61—81no—
738C2×C4×C61—81no—
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C2511yescharacteristic
745C22⋊D61—41no—
746C22⋊D61—41no—
747C22⋊D61—42no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—42no—
760C2×Dic61—42no—
761C2×Dic61—42no—
762C2×Dic61—81no—
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769D244—21no—
770D244—21no—
771D244—41no—
772D244—81no—
773C4×D61—21no—
774C4×D61—21no—
775C4×D61—21no—
776C4×D61—21no—
777C4×D61—41no—
778C4×D61—41no—
779C4×D61—42no—
780C4×D61—81no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61—81no—
784Dic122—21no—
785Dic122—21no—
786Dic122—21no—
787Dic122—21no—
788Dic122—21no—
789Dic122—41no—
790Dic122—42no—
791Dic122—42no—
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—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61C23×D411yescharacteristic
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—162no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61C2×H(5,𝔽2)11yescharacteristic
839C4×C61#58511yescharacteristic
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—22no—
845Dic61—21no—
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#3311—611no—
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#3225D6111yescharacteristic, complemented
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—81no—
886C2×C61—81no—
887C2×C61#348811yescharacteristic
888C2×C61#358611yescharacteristic
889C2×C61#358611yescharacteristic
890D61—41no—
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—611no—
907#556—1221no—
908#556—1221no—
909#556—1221no—
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#546—611no—
923#543—1221no—
924#542—611no—
925#542—611no—
926#542—611no—
927#542—1221no—
928#542—1221no—
929#542—1221no—
930#542—1221no—
931#542C2×D6111yescharacteristic, complemented
932#538—1221no—
933#536—611no—
934#536C2×D6111yescharacteristic
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#497C2×D6111yescharacteristic, complemented
948#495—611no—
949#495C2×D6111yescharacteristic
950#489—611no—
951#489—611no—
952#489—611no—
953#489C2×D6111yescharacteristic
954#487—611no—
955#487C2×D6111yescharacteristic, complemented
956#485—611no—
957#485—611no—
958#485—611no—
959#485—611no—
960#482—611no—
961#482—611no—
962#477—611no—
963#476—611no—
964#476—611no—
965#476—611no—
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#470—611no—
978#469—611no—
979#469—611no—
980#465—611no—
981#465—611no—
982#465—611no—
983#465—611no—
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#463C2×D6111yescharacteristic
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#462C2×D6111yescharacteristic, complemented
1013#461C2×D6111yescharacteristic, complemented
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#451C2×D6111yescharacteristic, complemented
1024#450—611no—
1025#450—611no—
1026#449—611no—
1027#449C2×D6111yescharacteristic
1028#448—611no—
1029#448—611no—
1030#448—611no—
1031#448C2×D6111yescharacteristic, complemented
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#440—611no—
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#435—611no—
1052#433—611no—
1053#433C2×D6111yescharacteristic, complemented
1054#432—611no—
1055#424—611no—
1056#424—611no—
1057#423—611no—
1058#419—611no—
1059#419—611no—
1060#419—611no—
1061#418—611no—
1062#416—611no—
1063#416—611no—
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×Q8C22×D6111yescharacteristic
1073C22×D4—611no—
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—2442no—
1088C2×Q16—2442no—
1089C2×Q16C22×D6111yescharacteristic
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16C22×D6111yescharacteristic
1099C2×SD16C22×D6111yescharacteristic
1100C2×SD16C22×D6111yescharacteristic
1101C2×SD16C22×D6111yescharacteristic
1102C2×D8—611no—
1103C2×D8C22×D6111yescharacteristic
1104C2×M16—611no—
1105C2×M16—611no—
1106C2×M16—611no—
1107C2×M16—611no—
1108C22×C8—611no—
1109C22×C8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—611no—
1112C4⋊Q8—611no—
1113C4⋊Q8—611no—
1114C4⋊Q8—611no—
1115C4⋊Q8—1221no—
1116C4⋊Q8—1221no—
1117C4⋊Q8—1221no—
1118C4⋊Q8—1221no—
1119C4⋊Q8—1221no—
1120C4⋊Q8—1221no—
1121C4⋊Q8C22×D6111yescharacteristic
1122C4⋊Q8C22×D6111yescharacteristic
1123C4⋊Q8C22×D6111yescharacteristic
1124#126—21no—
1125#126—611no—
1126#126—611no—
1127#126—1221no—
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—1221no—
1151#124—1221no—
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#124C22×D6111yescharacteristic
1164#124C22×D6111yescharacteristic
1165#124C22×D6111yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—611no—
1170#123—611no—
1171#123—1221no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—611no—
1182C22⋊Q8—611no—
1183C22⋊Q8—611no—
1184C22⋊Q8—611no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
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⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8C22×D6111yescharacteristic
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121C22×D6111yescharacteristic
1222#120—1221no—
1223#120—1221no—
1224C4×Q8—611no—
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—1221no—
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—611no—
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×D4—1221no—
1261C4×D4C22×D6111yescharacteristic
1262#117—611no—
1263#117—611no—
1264#117—611no—
1265#117—611no—
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#117—1221no—
1277#117C22×D6111yescharacteristic
1278C2×C22⋊C4—1221no—
1279C2×C22⋊C4—1221no—
1280C2×C22⋊C4—1221no—
1281C2×C22⋊C4—1221no—
1282C2×C42—611no—
1283C2×C42—1221no—
1284#107—611no—
1285#107—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
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⋊C8C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1319#103C22×D6111yescharacteristic
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#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
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×C8C22×D6111yescharacteristic
1346C24—1221no—
1347#41—41no—
1348#41—41no—
1349#41—1222no—
1350#41—2441no—
1351#41—2441no—
1352#41—2441no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—41no—
1356C2×Q8—41no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—611no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—1222no—
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×Q8C23×D6111yescharacteristic
1377C2×Q8C23×D6111yescharacteristic
1378C2×Q8C23×D6111yescharacteristic
1379C2×Q8C23×D6111yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—611no—
1383C2×D4—611no—
1384C2×D4—611no—
1385C2×D4—611no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4C23×D6111yescharacteristic
1395C2×D4C23×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
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×C4—1221no—
1412C22×C4C23×D6111yescharacteristic
1413Q16—41no—
1414Q16—41no—
1415Q16—41no—
1416Q16—1222no—
1417Q16—1222no—
1418Q16—1222no—
1419Q16—1222no—
1420Q16—2441no—
1421Q16—2441no—
1422Q16—2441no—
1423Q16—2441no—
1424Q16—2441no—
1425SD16—41no—
1426SD16—41no—
1427SD16—41no—
1428SD16—41no—
1429SD16—1222no—
1430SD16—1222no—
1431SD16—2441no—
1432SD16—2441no—
1433SD16—2441no—
1434SD16—2441no—
1435D8—41no—
1436D8—2441no—
1437M16—2441no—
1438M16—2441no—
1439M16—2441no—
1440M16—2441no—
1441C2×C8—611no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—611no—
1445C2×C8—2441no—
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—21no—
1457C4⋊C4—21no—
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—611no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
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⋊C4—1221no—
1495C4⋊C4D4×D6111yescharacteristic
1496C4⋊C4D4×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—611no—
1546C42—611no—
1547C42—611no—
1548C42—611no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42—1221no—
1558C42—1221no—
1559C42—1221no—
1560C42—1221no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C42C23×D6111yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—611no—
1568C23—611no—
1569C23—1221no—
1570C23—4881no—
1571C23—4881no—
1572C23—2442no—
1573C23C2×D4×D6111yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—81no—
1583Q8—81no—
1584Q8—612no—
1585Q8—1221no—
1586Q8—1221no—
1587Q8—1221no—
1588Q8—1221no—
1589Q8—1221no—
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—81no—
1603D4—81no—
1604D4—1221no—
1605D4—1221no—
1606D4—4881no—
1607D4—4881no—
1608D4—4881no—
1609D4—4881no—
1610D4—4881no—
1611D4—2441no—
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—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—611no—
1627C2×C4—611no—
1628C2×C4—611no—
1629C2×C4—611no—
1630C2×C4—611no—
1631C2×C4—611no—
1632C2×C4—1221no—
1633C2×C4—1221no—
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—2441no—
1649C2×C4—2441no—
1650C2×C4—2442no—
1651C2×C4—2442no—
1652C2×C4—2442no—
1653C2×C4—2442no—
1654C2×C4C2×D4×D6111yescharacteristic
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—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—1221no—
1681C22—1221no—
1682C22—1221no—
1683C22—9762no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—1221no—
1700C4—1221no—
1701C4—1222no—
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#1684059711yescharacteristic
1714C2—41no—
1715C2—81no—
1716C2—81no—
1717C2—4881no—
1718C2—2441no—
1719C2—2441no—
1720C2#2145948611yescharacteristic
1721C2#2146060111yescharacteristic
1722C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3225C2
socleC22×C61C23×D4
hypercenter#3225D61
hypocenterC61#62091
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #21460380C2semidirect
2. #21459832C2semidirect
3. #21458901C2semidirect
4. #21458895C2semidirect
5. #21458564C2semidirect
6. #21458556C2semidirect
7. #21458101C2semidirect
8. #21458095C2semidirect
9. #21458009C2semidirect
10. #21457998C2semidirect
11. #21457859C2semidirect
12. #21457854C2semidirect
13. #21457449C2semidirect
14. #21457448C2semidirect
15. #21457393C2semidirect
16. #21457388C2semidirect
17. #21457387C2semidirect
18. #21457382C2semidirect
19. #21457286C2semidirect
20. #21457284C2semidirect
21. #21457211C2semidirect
22. #21456927C2semidirect
23. #21456820C2semidirect
24. #21456050C2semidirect
25. #21456047C2semidirect
26. #21455978C2semidirect
27. #21455345C2semidirect
28. #21455344C2semidirect
29. #21455308C2semidirect
30. #21454984C2semidirect
31. C61×#3225C2semidirect
36. C22×#11758202C22semidirect
37. C2×Q16×D61C22semidirect
40. #16840492C22semidirect
46. #16840481C22semidirect
49. #16840476C22semidirect
55. #16840425C22semidirect
69. #16840377C22semidirect
78. #16840239C22semidirect
79. #16840238C22semidirect
83. #16840153C22semidirect
88. #16840111C22semidirect
89. #16840104C22semidirect
92. #16840102C22semidirect
95. #16840058C22semidirect
96. #16840052C22semidirect
99. #16840048C22semidirect
100. #16840047C22semidirect
101. #16840045C22semidirect
102. #16840045C22semidirect
103. #16840045C22semidirect
104. #16840044C22semidirect
107. #16840019C22semidirect
108. #16840018C22semidirect
115. #16839989C22semidirect
116. #16839988C22semidirect
124. #16839982C22semidirect
129. #16839981C22semidirect
135. #16839971C22semidirect
136. #16839970C22semidirect
137. #16839970C22semidirect
138. #16839970C22semidirect
139. #16839969C22semidirect
140. #16839969C22semidirect
141. #16839969C22semidirect
142. #16839969C22semidirect
146. #16839920C22semidirect
148. #16839919C22semidirect
150. #16839916C22semidirect
156. #16839899C22semidirect
157. #16839892C22semidirect
158. #16839890C22semidirect
159. #16839870C22semidirect
160. #16839866C22semidirect
161. #16839866C22semidirect
162. #16839866C22semidirect
165. #16839863C22semidirect
166. #16839863C22semidirect
167. C4×Dic244C22semidirect
168. Q16×Dic61C22semidirect
173. #16839836C22semidirect
176. #16839830C22semidirect
177. #16839822C22semidirect
179. #16839789C22semidirect
180. #16839787C22semidirect
182. #16839771C22semidirect
184. #16839769C22semidirect
188. C61×#542C22semidirect
190. C61×#497C22semidirect
193. C61×#487C22semidirect
196. C61×#462C22semidirect
197. C61×#461C22semidirect
199. C61×#451C22semidirect
201. C61×#448C22semidirect
202. C61×#433C22semidirect
875. #3225D61semidirect
931. #542C2×D61semidirect
947. #497C2×D61semidirect
955. #487C2×D61semidirect
1012. #462C2×D61semidirect
1013. #461C2×D61semidirect
1023. #451C2×D61semidirect
1031. #448C2×D61semidirect
1053. #433C2×D61semidirect
1064. C61#62091semidirect

Maximal subgroups

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

subgroupindex
#214603802
#214598322
#214589012
#214588952
#214585642
#214585562
#214581012
#214580952
#214580092
#214579982
#214578592
#214578542
#214574492
#214574482
#214573932
#214573882
#214573872
#214573822
#214572862
#214572842
#214572112
#214569272
#214568202
#214560502
#214560472
#214559782
#214553452
#214553442
#214553082
#214549842
C61×#32252
#6209161