Finite Group Databasebeta

← #30565528

Subgroups — #30565528

Order 15616.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459669C211yesmaximal, characteristic, complemented
2#21459308C211yesmaximal, characteristic, complemented
3#21458095C211yesmaximal, characteristic, complemented
4#21458045C211yesmaximal, characteristic, complemented
5#21458010C211yesmaximal, characteristic, complemented
6#21458005C211yesmaximal, characteristic, complemented
7#21457982C211yesmaximal, characteristic, complemented
8#21457977C211yesmaximal, characteristic, complemented
9#21457751C211yesmaximal, characteristic, complemented
10#21457731C211yesmaximal, characteristic, complemented
11#21457573C211yesmaximal, characteristic, complemented
12#21457542C211yesmaximal, characteristic, complemented
13#21457479C211yesmaximal, characteristic, complemented
14#21457432C211yesmaximal, characteristic, complemented
15#21457369C211yesmaximal, characteristic, complemented
16#21457345C211yesmaximal, characteristic, complemented
17#21457343C211yesmaximal, characteristic, complemented
18#21456825C211yesmaximal, characteristic, complemented
19#21456751C211yesmaximal, characteristic, complemented
20#21456660C211yesmaximal, characteristic, complemented
21#21456657C211yesmaximal, characteristic, complemented
22#21456613C211yesmaximal, characteristic, complemented
23#21456609C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455889C211yesmaximal, characteristic, complemented
26#21455062C211yesmaximal, characteristic, complemented
27#21455060C211yesmaximal, characteristic, complemented
28#21455042C211yesmaximal, characteristic, complemented
29#21455033C211yesmaximal, characteristic, complemented
30#21454849C211yesmaximal, characteristic, complemented
31C61×#3269C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic, complemented
36C2×#14519802C2211yescharacteristic, complemented
37C2×#14519800C2211yescharacteristic, complemented
38C2×#14519800C2211yescharacteristic, complemented
39C2×#14519797C2211yescharacteristic, complemented
40#16840496—21no—
41#16840496—21no—
42#16840483C2211yescharacteristic
43#16840483C2211yescharacteristic, complemented
44#16840477C2211yescharacteristic, complemented
45#16840477C2211yescharacteristic, complemented
46#16840460—21no—
47#16840459—21no—
48#16840431C2211yescharacteristic
49#16840431C2211yescharacteristic
50#16840431C2211yescharacteristic, complemented
51Q8×C22⋊D61C2211yescharacteristic
52#16840424C2211yescharacteristic
53#16840415C2211yescharacteristic, complemented
54#16840414—21no—
55#16840414C2211yescharacteristic
56#16840408—21no—
57#16840408C2211yescharacteristic
58#16840405—21no—
59#16840405C2211yescharacteristic
60#16840396—21no—
61#16840396C2211yescharacteristic
62#16840348—21no—
63#16840348—21no—
64#16840328—21no—
65#16840317C2211yescharacteristic, complemented
66#16840311—21no—
67#16840311C2211yescharacteristic
68#16840309C2211yescharacteristic, complemented
69#16840275—21no—
70#16840275C2211yescharacteristic
71#16840275C2211yescharacteristic, complemented
72#16840275C2211yescharacteristic, complemented
73#16840272—21no—
74#16840272C2211yescharacteristic
75#16840269C2211yescharacteristic, complemented
76#16840269C2211yescharacteristic, complemented
77#16840243—21no—
78C4×#11758226C2211yescharacteristic
79C4×D4×D61—21no—
80C4×D4×D61C2211yescharacteristic
81#16840154C2211yescharacteristic, complemented
82#16840137C2211yescharacteristic, complemented
83#16840133C2211yescharacteristic, complemented
84#16840122C2211yescharacteristic, complemented
85#16840121C2211yescharacteristic, complemented
86#16840111C2211yescharacteristic, complemented
87#16840107C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840102C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840102C2211yescharacteristic, complemented
93#16840100C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840087C2211yescharacteristic, complemented
97#16840085C2211yescharacteristic, complemented
98#16840084C2211yescharacteristic, complemented
99#16840083C2211yescharacteristic, complemented
100#16840047C2211yescharacteristic, complemented
101#16840045C2211yescharacteristic, complemented
102#16840043C2211yescharacteristic, complemented
103#16840041C2211yescharacteristic, complemented
104#16840018C2211yescharacteristic, complemented
105#16840017C2211yescharacteristic, complemented
106#16840014C2211yescharacteristic, complemented
107#16840013C2211yescharacteristic, complemented
108#16840011C2211yescharacteristic, complemented
109#16840008C2211yescharacteristic, complemented
110#16840005C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16839998C2211yescharacteristic, complemented
113#16839995C2211yescharacteristic, complemented
114#16839993C2211yescharacteristic, complemented
115#16839993C2211yescharacteristic, complemented
116#16839990C2211yescharacteristic, complemented
117#16839988C2211yescharacteristic, complemented
118#16839978C2211yescharacteristic, complemented
119#16839977C2211yescharacteristic, complemented
120#16839974C2211yescharacteristic, complemented
121#16839970C2211yescharacteristic, complemented
122#16839970C2211yescharacteristic, complemented
123#16839964C2211yescharacteristic, complemented
124#16839960C2211yescharacteristic, complemented
125#16839960C2211yescharacteristic, complemented
126#16839960C2211yescharacteristic, complemented
127#16839956C2211yescharacteristic, complemented
128#16839927C2211yescharacteristic, complemented
129#16839924C2211yescharacteristic, complemented
130#16839923C2211yescharacteristic
131#16839923C2211yescharacteristic
132#16839923C2211yescharacteristic, complemented
133#16839923C2211yescharacteristic, complemented
134#16839923C2211yescharacteristic, complemented
135#16839923C2211yescharacteristic, complemented
136#16839923C2211yescharacteristic, complemented
137#16839922C2211yescharacteristic, complemented
138#16839921C2211yescharacteristic, complemented
139#16839921C2211yescharacteristic, complemented
140#16839916C2211yescharacteristic, complemented
141#16839912C2211yescharacteristic, complemented
142#16839911C2211yescharacteristic, complemented
143#16839910C2211yescharacteristic
144#16839910C2211yescharacteristic, complemented
145#16839910C2211yescharacteristic, complemented
146#16839909C2211yescharacteristic, complemented
147#16839908C2211yescharacteristic, complemented
148#16839907C2211yescharacteristic, complemented
149#16839907C2211yescharacteristic, complemented
150#16839906C2211yescharacteristic
151#16839906C2211yescharacteristic, complemented
152#16839906C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic, complemented
154#16839906C2211yescharacteristic, complemented
155#16839904C2211yescharacteristic, complemented
156#16839901C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic, complemented
158#16839898C2211yescharacteristic, complemented
159#16839894C2211yescharacteristic, complemented
160#16839875C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic, complemented
163Q16×Dic61C2211yescharacteristic, complemented
164Q16×Dic61C2211yescharacteristic, complemented
165#16839847C2211yescharacteristic, complemented
166#16839847C2211yescharacteristic, complemented
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839835C2211yescharacteristic, complemented
170#16839834C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic, complemented
172C8×C22⋊D61C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic, complemented
174#16839817C2211yescharacteristic, complemented
175#16839814C2211yescharacteristic, complemented
176#16839771C2211yescharacteristic, complemented
177#16839769C2211yescharacteristic, complemented
178#16839768C2211yescharacteristic, complemented
179#16839765C2211yescharacteristic, complemented
180#16839759C2211yescharacteristic, complemented
181#16839758C2211yescharacteristic, complemented
182#16839757C2211yescharacteristic, complemented
183#16839757C2211yescharacteristic, complemented
184#16839725C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic, complemented
186C2×#14519689C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C2×#135×C61C2211yescharacteristic, complemented
190C61×#548C2211yescharacteristic
191C61×#547C2211yescharacteristic, complemented
192C61×#497C2211yescharacteristic, complemented
193C61×#468C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#462C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#451C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226—21no—
205C2×#11758226—42no—
206C2×#11758226—42no—
207C2×#11758226C2311yescharacteristic
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758226C2311yescharacteristic
212C2×#11758226C2311yescharacteristic
213C2×#11758222—21no—
214C2×#11758222—21no—
215C2×#11758222C2311yescharacteristic
216C2×#11758224—21no—
217C2×#11758224C2311yescharacteristic
218#41×D61—42no—
219#41×D61—42no—
220C2×Q8×D61C2311yescharacteristic
221C22×D244—21no—
222C22×D244C2311yescharacteristic
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61D411yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C22×C4×D61—21no—
228C22×C4×D61—21no—
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231#14519809—42no—
232#14519804—42no—
233#14519802—42no—
234#14519800—42no—
235#14519800—42no—
236#14519797—42no—
237C2×#11758202C2311yescharacteristic
238C2×#11758202C2311yescharacteristic
239C2×#11758190C2311yescharacteristic
240C2×#11758200C2311yescharacteristic
241C2×#11758201C2311yescharacteristic
242C2×#11758201C2311yescharacteristic
243C2×#11758201C2311yescharacteristic
244C2×#11758201C2311yescharacteristic
245C2×#11758201C2311yescharacteristic
246C2×#11758201C2311yescharacteristic
247C2×D488C2311yescharacteristic
248C2×D488C2311yescharacteristic
249C2×#11758199C2311yescharacteristic
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758194C2311yescharacteristic
253C2×#11758189C2311yescharacteristic
254C2×#11758189C2311yescharacteristic
255C22×#92418C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257C2×C8×D61C2311yescharacteristic
258#14519777C2311yescharacteristic
259#14519776C2311yescharacteristic
260#14519775—21no—
261#14519775C2311yescharacteristic
262#14519773—21no—
263#14519773—21no—
264#14519773—21no—
265#14519773C2311yescharacteristic
266#14519773C2311yescharacteristic
267#14519772—21no—
268#14519772—21no—
269#14519770—21no—
270#14519770—21no—
271#14519768—21no—
272#14519765—21no—
273#14519765C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519758—21no—
292#14519758—21no—
293#14519757—21no—
294#14519757—21no—
295#14519757C2311yescharacteristic
296#14519756—21no—
297#14519756C2311yescharacteristic
298#14519753—21no—
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519753C2311yescharacteristic
302#14519753C2311yescharacteristic
303#14519753C2311yescharacteristic
304#14519752—21no—
305#14519752—21no—
306#14519752C2311yescharacteristic
307#14519752C2311yescharacteristic
308#14519751—21no—
309#14519751—21no—
310#14519751—21no—
311#14519751—21no—
312#14519751C2311yescharacteristic
313#14519751C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519748—21no—
323#14519748—21no—
324#14519748—21no—
325#14519748—21no—
326#14519748C2311yescharacteristic
327#14519748C2311yescharacteristic
328#14519748C2311yescharacteristic
329#14519748C2311yescharacteristic
330#14519747—21no—
331#14519747—21no—
332#14519747—21no—
333#14519747—21no—
334#14519747—21no—
335#14519745—21no—
336#14519745—21no—
337#14519745—21no—
338#14519745—21no—
339#14519745—21no—
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342Q8×Dic61C2311yescharacteristic
343#14519742—21no—
344#14519742—21no—
345#14519742—21no—
346C4×D244—21no—
347C4×D244—21no—
348C4×D244C2311yescharacteristic
349C4×D244C2311yescharacteristic
350C4×D244C2311yescharacteristic
351D4×Dic61—21no—
352D4×Dic61D411yescharacteristic
353#14519739—21no—
354#14519739—21no—
355#14519739—21no—
356#14519739—21no—
357#14519739D411yescharacteristic
358#14519739C2311yescharacteristic
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361C4×C22⋊D61—21no—
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61C2311yescharacteristic
369C4×C22⋊D61C2311yescharacteristic
370#14519737—21no—
371#14519737—21no—
372#14519737—21no—
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737D411yescharacteristic
377#14519737D411yescharacteristic
378#14519736—21no—
379#14519736C2311yescharacteristic
380#14519736C2311yescharacteristic
381#14519735—21no—
382#14519735—21no—
383#14519735—21no—
384#14519735C2311yescharacteristic
385#14519735C2311yescharacteristic
386#14519735C2311yescharacteristic
387C4⋊C4×D61—21no—
388C4⋊C4×D61—21no—
389C4⋊C4×D61D411yescharacteristic
390C22⋊C4×D61—21no—
391C22⋊C4×D61—21no—
392C22⋊C4×D61D411yescharacteristic
393C22⋊C4×D61D411yescharacteristic
394C42×D61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519711C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519688C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C8×Dic61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×#41×C61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×Q8×C61C2311yescharacteristic
449#137×C61—42no—
450#135×C61—42no—
451C2×Q16×C61C2311yescharacteristic
452C2×Q16×C61C2311yescharacteristic
453C2×Q16×C61C2311yescharacteristic
454C2×Q16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×SD16×C61C2311yescharacteristic
457C2×SD16×C61C2311yescharacteristic
458C2×SD16×C61C2311yescharacteristic
459C2×D8×C61C2311yescharacteristic
460C2×M16×C61C2311yescharacteristic
461C22×C8×C61C2311yescharacteristic
462C4⋊Q8×C61C2311yescharacteristic
463#124×C61—21no—
464#124×C61C2311yescharacteristic
465#123×C61—21no—
466#123×C61—21no—
467C22⋊Q8×C61—21no—
468C22⋊Q8×C61C2311yescharacteristic
469C22⋊Q8×C61C2311yescharacteristic
470C22⋊Q8×C61C2311yescharacteristic
471#121×C61—21no—
472#121×C61—21no—
473#121×C61C2311yescharacteristic
474C4×Q8×C61C2311yescharacteristic
475C4×D4×C61—21no—
476C4×D4×C61C2311yescharacteristic
477C4×D4×C61C2311yescharacteristic
478C2×C4⋊C4×C61—21no—
479#107×C61C2311yescharacteristic
480C4⋊C8×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#103×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492C23×D61C2×D411yescharacteristic
493C23×D61C2×D411yescharacteristic
494#41×C61—22no—
495#41×C61—41no—
496#41×C61—41no—
497#41×C61—41no—
498#41×C61—41no—
499#41×C61—41no—
500C2×Q8×C61—21no—
501C2×Q8×C61—22no—
502C2×Q8×C61—41no—
503C2×Q8×C61C2411yescharacteristic
504C2×Q8×C61C2411yescharacteristic
505C2×Q8×C61C2411yescharacteristic
506C2×Q8×C61C2411yescharacteristic
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61C2×D411yescharacteristic
512C2×D4×C61C2411yescharacteristic
513C2×D4×C61C2411yescharacteristic
514C22×C4×C61—21no—
515C22×C4×C61—21no—
516C22×C4×C61—21no—
517C22×C4×C61—21no—
518C22×C4×C61—21no—
519C22×C4×C61C2411yescharacteristic
520C22×C4×C61C2411yescharacteristic
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61C2×D411yescharacteristic
536C2×C22⋊D61C2×D411yescharacteristic
537C22×Dic61—21no—
538C22×Dic61C2×D411yescharacteristic
539C22×Dic61C2×D411yescharacteristic
540#11758226—22no—
541#11758226—22no—
542#11758226—22no—
543#11758226—22no—
544#11758226—41no—
545#11758226—41no—
546#11758226—41no—
547#11758226—41no—
548#11758226—44no—
549#11758226—41no—
550#11758226—41no—
551#11758226—41no—
552#11758226—41no—
553#11758226—44no—
554Q8×D61—22no—
555Q8×D61—41no—
556#11758224—41no—
557#11758224—41no—
558#11758224—44no—
559D4×D61—22no—
560D4×D61—41no—
561D4×D61—42no—
562D4×D61—44no—
563D4×D61—44no—
564#11758222—22no—
565#11758222—41no—
566#11758222—44no—
567#11758222—44no—
568C2×D244—21no—
569C2×D244—22no—
570C2×D244—21no—
571C2×D244—21no—
572C2×D244—21no—
573C2×D244—21no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244—41no—
579C2×D244—44no—
580C2×D244C2×D411yescharacteristic
581C2×D244C2411yescharacteristic
582C2×D244C2411yescharacteristic
583C2×D244C2411yescharacteristic
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—41no—
596C2×C4×D61—41no—
597C2×C4×D61—41no—
598C2×C4×D61—41no—
599C2×C4×D61—44no—
600C2×C4×D61—44no—
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2×D411yescharacteristic
604C2×C4×D61C2×D411yescharacteristic
605C2×C4×D61C2×D411yescharacteristic
606C2×C4×D61C2×D411yescharacteristic
607C2×C4×D61C2411yescharacteristic
608C2×C4×D61C2411yescharacteristic
609C2×C4×D61C2411yescharacteristic
610C2×Dic122—21no—
611C2×Dic122—21no—
612C2×Dic122—21no—
613C2×Dic122C2411yescharacteristic
614Q16×C61—22no—
615Q16×C61—22no—
616Q16×C61—41no—
617Q16×C61—41no—
618SD16×C61—22no—
619SD16×C61—41no—
620SD16×C61—41no—
621SD16×C61—41no—
622D8×C61—41no—
623M16×C61—41no—
624C2×C8×C61—41no—
625C2×C8×C61C2411yescharacteristic
626C2×C8×C61C2411yescharacteristic
627C2×C8×C61C2411yescharacteristic
628C2×C8×C61C2411yescharacteristic
629C4⋊C4×C61—21no—
630C4⋊C4×C61—21no—
631C4⋊C4×C61—21no—
632C4⋊C4×C61—21no—
633C4⋊C4×C61—21no—
634C4⋊C4×C61—21no—
635C4⋊C4×C61C2×D411yescharacteristic
636C4⋊C4×C61C2411yescharacteristic
637C4⋊C4×C61C2411yescharacteristic
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61C2×D411yescharacteristic
646C22⋊C4×C61C2×D411yescharacteristic
647C42×C61—21no—
648C42×C61C2411yescharacteristic
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61—21no—
652C22⋊Dic61—21no—
653C22⋊Dic61—21no—
654C22⋊Dic61—21no—
655C22⋊Dic61—21no—
656C22⋊Dic61C2×D411yescharacteristic
657C22⋊Dic61C2×D411yescharacteristic
658#11758202—41no—
659#11758202—41no—
660#11758201—22no—
661#11758201—22no—
662#11758201—22no—
663#11758201—41no—
664#11758201—41no—
665#11758201—41no—
666#11758200—41no—
667#11758199—22no—
668#11758199—41no—
669#11758199—41no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198C2×D411yescharacteristic
690#11758198C2×D411yescharacteristic
691#11758198C2×D411yescharacteristic
692#11758198C2×D411yescharacteristic
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61—21no—
696C4⋊Dic61—21no—
697C4⋊Dic61—21no—
698C4⋊Dic61C2×D411yescharacteristic
699C4⋊Dic61C2411yescharacteristic
700C4⋊Dic61C2411yescharacteristic
701C4⋊Dic61C2411yescharacteristic
702C4⋊Dic61C2411yescharacteristic
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196C2×D411yescharacteristic
713#11758196C2×D411yescharacteristic
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61—21no—
719C4×Dic61—21no—
720C4×Dic61—21no—
721C4×Dic61—21no—
722C4×Dic61C2×D411yescharacteristic
723C4×Dic61C2×D411yescharacteristic
724C4×Dic61C2411yescharacteristic
725#11758194—41no—
726C2×#92418—41no—
727C2×#92418C2411yescharacteristic
728C2×#92418C2411yescharacteristic
729C2×#92418C2411yescharacteristic
730C2×#92418C2411yescharacteristic
731D488—22no—
732D488—41no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61C22×D411yescharacteristic
741C23×C61C22×D411yescharacteristic
742C22×D61—21no—
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—41no—
746C22×D61—41no—
747C22×D61—41no—
748C22×D61—41no—
749C22×D61—41no—
750C22×D61—41no—
751C22×D61—42no—
752C22×D61—42no—
753C22×D61—42no—
754C22×D61—42no—
755C22×D61—81no—
756C22×D61—81no—
757C22×D61C22×D411yescharacteristic
758C22×D61C22×D411yescharacteristic
759C22×D61C22×D411yescharacteristic
760Q8×C61—21no—
761Q8×C61—21no—
762Q8×C61—21no—
763Q8×C61—21no—
764Q8×C61—21no—
765Q8×C61—21no—
766Q8×C61—21no—
767Q8×C61—42no—
768Q8×C61H(5,𝔽2)12yes—
769D4×C61—21no—
770D4×C61—21no—
771D4×C61—21no—
772D4×C61—21no—
773D4×C61—41no—
774D4×C61—42no—
775D4×C61—42no—
776D4×C61—81no—
777D4×C61—81no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—21no—
788C2×C4×C61—42no—
789C2×C4×C61—42no—
790C2×C4×C61—42no—
791C2×C4×C61—81no—
792C2×C4×C61—81no—
793C2×C4×C61C22×D411yescharacteristic
794C2×C4×C61C22×D411yescharacteristic
795C2×C4×C61C22×D411yescharacteristic
796C2×C4×C61C22×D411yescharacteristic
797C2×C4×C61C2511yescharacteristic
798C22⋊D61—22no—
799C22⋊D61—22no—
800C22⋊D61—42no—
801C22⋊D61—42no—
802C22⋊D61—42no—
803C22⋊D61—42no—
804C22⋊D61—42no—
805C22⋊D61—42no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C22⋊D61—81no—
810C22⋊D61—81no—
811C22⋊D61—81no—
812C22⋊D61—81no—
813C22⋊D61—81no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—41no—
820C2×Dic61—41no—
821C2×Dic61—42no—
822C2×Dic61C22×D411yescharacteristic
823C2×Dic61C22×D411yescharacteristic
824C2×Dic61C22×D411yescharacteristic
825C2×Dic61C22×D411yescharacteristic
826C2×Dic61C22×D411yescharacteristic
827D244—24no—
828D244—21no—
829D244—21no—
830D244—21no—
831D244—21no—
832D244—21no—
833D244—41no—
834D244—42no—
835D244—42no—
836D244—42no—
837D244—42no—
838D244—42no—
839D244—42no—
840D244—81no—
841D244—81no—
842D244H(5,𝔽2)12yes—
843C4×D61—24no—
844C4×D61—21no—
845C4×D61—21no—
846C4×D61—21no—
847C4×D61—21no—
848C4×D61—21no—
849C4×D61—21no—
850C4×D61—22no—
851C4×D61—41no—
852C4×D61—41no—
853C4×D61—41no—
854C4×D61—41no—
855C4×D61—41no—
856C4×D61—42no—
857C4×D61—42no—
858C4×D61—42no—
859C4×D61—42no—
860C4×D61—42no—
861C4×D61—42no—
862C4×D61—42no—
863C4×D61—81no—
864C4×D61—81no—
865C4×D61—81no—
866Dic122—21no—
867Dic122—21no—
868Dic122—42no—
869Dic122—42no—
870Dic122—81no—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61608—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61C23×D411yescharacteristic
893C2×D61—21no—
894C2×D61—21no—
895C2×D61—21no—
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—22no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—21no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—82no—
912C2×D61—82no—
913C2×D61—84no—
914C2×D61—84no—
915C4×C61—21no—
916C4×C61—22no—
917C4×C61—21no—
918C4×C61—21no—
919C4×C61—21no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61C2×H(5,𝔽2)11yescharacteristic
926C4×C61C2×H(5,𝔽2)11yescharacteristic
927Dic61—21no—
928Dic61—21no—
929Dic61—21no—
930Dic61—21no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61#57512yes—
937#3506—611no—
938D4×#41—611no—
939#3328—611no—
940#3324—611no—
941#3321—611no—
942#3321—611no—
943#3319—611no—
944#3319—611no—
945#3304—611no—
946#3302—611no—
947#3287—611no—
948#3284—611no—
949#3278—611no—
950#3274—611no—
951#3269—611no—
952#3269D6111yescharacteristic, complemented
953#3267—611no—
954#3267—611no—
955#3216—611no—
956#3207—611no—
957#3197—611no—
958#3197—611no—
959#3191—611no—
960#3191—611no—
961#3115—611no—
962#3107—611no—
963#3005—611no—
964#3005—611no—
965#3002—611no—
966#3002—611no—
967#2974—611no—
968C2×C61—41no—
969C2×C61—41no—
970C2×C61—81no—
971C2×C61—81no—
972C2×C61#348411yescharacteristic
973C2×C61C2×#57511yescharacteristic
974C2×C61#358411yescharacteristic
975D61—41no—
976D61—41no—
977D61—41no—
978D61—42no—
979D61—81no—
980D61—81no—
981C22×#41—611no—
982C22×#41—611no—
983C2×#137—611no—
984C2×#137C2×D6111yescharacteristic, complemented
985C2×AGL(1,ℤ/8)—611no—
986C2×AGL(1,ℤ/8)—611no—
987C2×#135—611no—
988C2×#135—611no—
989C2×#135—611no—
990C2×#135C2×D6111yescharacteristic, complemented
991#559—1221no—
992#559—1221no—
993#556—611no—
994#556—611no—
995#555—611no—
996#555—611no—
997#553—1221no—
998#553—1221no—
999#550—611no—
1000#550—611no—
1001#550—611no—
1002D4×Q8—611no—
1003#548—611no—
1004#548C2×D6111yescharacteristic
1005#547—611no—
1006#547—611no—
1007#547—1221no—
1008#547C2×D6111yescharacteristic, complemented
1009#546—611no—
1010#546—611no—
1011#546—1221no—
1012#546—1221no—
1013D42—611no—
1014D42—1221no—
1015#538—1221no—
1016#538—1221no—
1017#535—1221no—
1018#533—611no—
1019#532—611no—
1020#532—611no—
1021#532—1221no—
1022#525—611no—
1023#525—611no—
1024#525—611no—
1025#525—611no—
1026#525—611no—
1027#525—611no—
1028#525—1221no—
1029#525—1221no—
1030#520—1221no—
1031C4×#41—611no—
1032C2×C4×D4—611no—
1033C2×C4×D4—1221no—
1034#497—611no—
1035#497C2×D6111yescharacteristic, complemented
1036#493—611no—
1037#492—611no—
1038#489—611no—
1039#489—611no—
1040#487—611no—
1041#486—611no—
1042#485—611no—
1043#485—611no—
1044#485—611no—
1045#485—611no—
1046#485—611no—
1047#485—611no—
1048#482—611no—
1049#482—611no—
1050#482—611no—
1051#482—611no—
1052#482—611no—
1053#482—611no—
1054#475—611no—
1055#475—611no—
1056#474—611no—
1057#474—611no—
1058#470—611no—
1059#470—611no—
1060#469—611no—
1061#469—611no—
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468C2×D6111yescharacteristic, complemented
1066#467—611no—
1067#467C2×D6111yescharacteristic, complemented
1068#466—611no—
1069#466—611no—
1070#465—611no—
1071#465—611no—
1072#465—611no—
1073#465—611no—
1074#463—611no—
1075#463—611no—
1076#463—611no—
1077#463C2×D6111yescharacteristic, complemented
1078#462—611no—
1079#462—611no—
1080#462C2×D6111yescharacteristic, complemented
1081#461—611no—
1082#460—611no—
1083#460—611no—
1084#460—611no—
1085#459—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452—611no—
1094#452—611no—
1095#452—611no—
1096#452—611no—
1097#452—611no—
1098#452C2×D6111yescharacteristic, complemented
1099#452C2×D6111yescharacteristic, complemented
1100#451—611no—
1101#451C2×D6111yescharacteristic, complemented
1102#450—611no—
1103#450—611no—
1104#449—611no—
1105#449—611no—
1106#449—611no—
1107#449—611no—
1108#449—611no—
1109#449—611no—
1110#449—611no—
1111#449—611no—
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449—611no—
1117#449C2×D6111yescharacteristic, complemented
1118#448—611no—
1119#448—611no—
1120#447—611no—
1121#447—611no—
1122#442—611no—
1123#442—611no—
1124#440—611no—
1125#440C2×D6111yescharacteristic, complemented
1126C4×Q16—611no—
1127C4×Q16—611no—
1128C4×SD16—611no—
1129C4×SD16—611no—
1130#436—611no—
1131#436—611no—
1132#435—611no—
1133#435—611no—
1134#435—611no—
1135#435C2×D6111yescharacteristic, complemented
1136C8×D4—611no—
1137C8×D4—611no—
1138#432—611no—
1139#431—611no—
1140#419—611no—
1141#419—611no—
1142#418—611no—
1143#418—611no—
1144#416—611no—
1145#416—611no—
1146#416—611no—
1147#416—611no—
1148#407—611no—
1149#407—611no—
1150C2×C22⋊C8—611no—
1151C2×C22⋊C8—611no—
1152C61#6160811yescharacteristic, complemented, Sylow
1153C2×#41—611no—
1154C2×#41—611no—
1155C2×#41—611no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—1221no—
1162C2×#41—1221no—
1163C2×#41—1221no—
1164C2×#41—1221no—
1165C2×#41—1221no—
1166C2×#41—2442no—
1167C2×#41—2442no—
1168C2×#41—2442no—
1169C2×#41—2442no—
1170C2×#41C22×D6111yescharacteristic
1171C2×#41C22×D6111yescharacteristic
1172C2×#41C22×D6111yescharacteristic
1173C22×Q8—611no—
1174C22×Q8C22×D6111yescharacteristic
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—1221no—
1179C22×D4—1221no—
1180C22×D4—1221no—
1181C23×C4—611no—
1182C23×C4—611no—
1183C23×C4—1221no—
1184C23×C4—1221no—
1185#137—42no—
1186#137—2442no—
1187AGL(1,ℤ/8)—2442no—
1188AGL(1,ℤ/8)—2442no—
1189#135—42no—
1190#135—2442no—
1191#135—2442no—
1192#135—2442no—
1193C2×Q16—611no—
1194C2×Q16—611no—
1195C2×Q16C22×D6111yescharacteristic
1196C2×Q16C22×D6111yescharacteristic
1197C2×Q16C22×D6111yescharacteristic
1198C2×Q16C22×D6111yescharacteristic
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16C22×D6111yescharacteristic
1208C2×SD16C22×D6111yescharacteristic
1209C2×SD16C22×D6111yescharacteristic
1210C2×SD16C22×D6111yescharacteristic
1211C2×D8—611no—
1212C2×D8—611no—
1213C2×D8—611no—
1214C2×D8—611no—
1215C2×D8—611no—
1216C2×D8C22×D6111yescharacteristic
1217C2×M16—611no—
1218C2×M16—611no—
1219C2×M16—611no—
1220C2×M16C22×D6111yescharacteristic
1221C22×C8—611no—
1222C22×C8—611no—
1223C22×C8—611no—
1224C22×C8C22×D6111yescharacteristic
1225C4⋊Q8—611no—
1226C4⋊Q8—611no—
1227C4⋊Q8—611no—
1228C4⋊Q8—1221no—
1229C4⋊Q8C22×D6111yescharacteristic
1230#127—611no—
1231#127—611no—
1232#127—1221no—
1233#127—1221no—
1234#127—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#125—1221no—
1240#124—21no—
1241#124—611no—
1242#124—1221no—
1243#124—1221no—
1244#124—1221no—
1245#124—1221no—
1246#124—1221no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124C22×D6111yescharacteristic
1251#123—21no—
1252#123—21no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265C22⋊Q8—21no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—611no—
1270C22⋊Q8—611no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8C22×D6111yescharacteristic
1278C22⋊Q8C22×D6111yescharacteristic
1279C22⋊Q8C22×D6111yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—611no—
1283#121—611no—
1284#121—611no—
1285#121—611no—
1286#121—611no—
1287#121—611no—
1288#121—611no—
1289#121—611no—
1290#121—611no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121C22×D6111yescharacteristic
1309#120—1221no—
1310#120—1221no—
1311#120—1221no—
1312#120—1221no—
1313#120—1221no—
1314#120—1221no—
1315#120—1221no—
1316#120—1221no—
1317#120—1221no—
1318#120—1221no—
1319C4×Q8—611no—
1320C4×Q8—611no—
1321C4×Q8—611no—
1322C4×Q8—1221no—
1323C4×Q8—1221no—
1324C4×Q8—1221no—
1325C4×Q8C22×D6111yescharacteristic
1326C4×D4—21no—
1327C4×D4—611no—
1328C4×D4—611no—
1329C4×D4—611no—
1330C4×D4—611no—
1331C4×D4—611no—
1332C4×D4—611no—
1333C4×D4—611no—
1334C4×D4—611no—
1335C4×D4—611no—
1336C4×D4—611no—
1337C4×D4—1221no—
1338C4×D4—1221no—
1339C4×D4—1221no—
1340C4×D4—1221no—
1341C4×D4—1221no—
1342C4×D4—1221no—
1343C4×D4—1221no—
1344C4×D4—1221no—
1345C4×D4—1221no—
1346C4×D4—1221no—
1347C4×D4—1221no—
1348C4×D4—1221no—
1349C4×D4—1221no—
1350C4×D4—1221no—
1351C4×D4—1221no—
1352C4×D4—1221no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4C22×D6111yescharacteristic
1360C4×D4C22×D6111yescharacteristic
1361#117—611no—
1362#117—611no—
1363#117—611no—
1364#117—611no—
1365#117—611no—
1366#117—1221no—
1367#117—1221no—
1368#117—1221no—
1369#117—1221no—
1370C2×C4⋊C4—21no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—1221no—
1373C2×C4⋊C4—1221no—
1374C2×C22⋊C4—611no—
1375C2×C22⋊C4—611no—
1376C2×C22⋊C4—1221no—
1377C2×C22⋊C4—1221no—
1378C2×C42—611no—
1379C2×C42—1221no—
1380#107—611no—
1381#107—611no—
1382#107—611no—
1383#107C22×D6111yescharacteristic
1384#106—611no—
1385#106—611no—
1386#106—611no—
1387#106—611no—
1388C4⋊C8—611no—
1389C4⋊C8—611no—
1390C4⋊C8—611no—
1391C4⋊C8C22×D6111yescharacteristic
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103—611no—
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#103C22×D6111yescharacteristic
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102—611no—
1421#102—611no—
1422#102C22×D6111yescharacteristic
1423#102C22×D6111yescharacteristic
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8—611no—
1433C22⋊C8—611no—
1434C22⋊C8C22×D6111yescharacteristic
1435C22⋊C8C22×D6111yescharacteristic
1436#97—611no—
1437#97C22×D6111yescharacteristic
1438C4×C8—611no—
1439C4×C8—611no—
1440C24—611no—
1441C24—611no—
1442C24—1221no—
1443C24—1221no—
1444#41—22no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1222no—
1451#41—1222no—
1452#41—1222no—
1453#41—1222no—
1454#41—1222no—
1455#41—2441no—
1456#41—2444no—
1457#41—2444no—
1458#41—2441no—
1459#41—2441no—
1460#41—2441no—
1461#41—2441no—
1462#41—2441no—
1463#41—2441no—
1464#41—2444no—
1465#41—2441no—
1466#41—2441no—
1467#41—2441no—
1468#41—2441no—
1469#41—2444no—
1470#41—2444no—
1471C2×Q8—21no—
1472C2×Q8—22no—
1473C2×Q8—41no—
1474C2×Q8—611no—
1475C2×Q8—1221no—
1476C2×Q8—1221no—
1477C2×Q8—1221no—
1478C2×Q8—1222no—
1479C2×Q8—2441no—
1480C2×Q8C23×D6111yescharacteristic
1481C2×Q8C23×D6111yescharacteristic
1482C2×Q8C23×D6111yescharacteristic
1483C2×Q8C23×D6111yescharacteristic
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—611no—
1489C2×D4—611no—
1490C2×D4—611no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—611no—
1494C2×D4—1222no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—1221no—
1498C2×D4—1221no—
1499C2×D4—1221no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4—1221no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1222no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—2441no—
1520C2×D4—2444no—
1521C2×D4—2441no—
1522C2×D4—2442no—
1523C2×D4—2444no—
1524C2×D4—2444no—
1525C2×D4D4×D6111yescharacteristic
1526C2×D4C23×D6111yescharacteristic
1527C2×D4C23×D6111yescharacteristic
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—611no—
1538C22×C4—611no—
1539C22×C4—611no—
1540C22×C4—611no—
1541C22×C4—611no—
1542C22×C4—611no—
1543C22×C4—611no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—1221no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—2441no—
1557C22×C4—2441no—
1558C22×C4—2441no—
1559C22×C4—2441no—
1560C22×C4—2444no—
1561C22×C4—2444no—
1562C22×C4C23×D6111yescharacteristic
1563C22×C4C23×D6111yescharacteristic
1564Q16—22no—
1565Q16—22no—
1566Q16—41no—
1567Q16—41no—
1568Q16—2441no—
1569Q16—2441no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—1222no—
1575SD16—1222no—
1576SD16—1222no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582D8—41no—
1583D8—1222no—
1584D8—1222no—
1585D8—2441no—
1586D8—2441no—
1587D8—2441no—
1588M16—41no—
1589M16—2441no—
1590M16—2441no—
1591M16—2441no—
1592C2×C8—41no—
1593C2×C8—611no—
1594C2×C8—611no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—2441no—
1598C2×C8—2441no—
1599C2×C8—2441no—
1600C2×C8C23×D6111yescharacteristic
1601C2×C8C23×D6111yescharacteristic
1602C2×C8C23×D6111yescharacteristic
1603C2×C8C23×D6111yescharacteristic
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—611no—
1615C4⋊C4—611no—
1616C4⋊C4—611no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4D4×D6111yescharacteristic
1632C4⋊C4C23×D6111yescharacteristic
1633C4⋊C4C23×D6111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—611no—
1642C22⋊C4—611no—
1643C22⋊C4—611no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—1221no—
1648C22⋊C4—1221no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4D4×D6111yescharacteristic
1674C22⋊C4D4×D6111yescharacteristic
1675C42—21no—
1676C42—611no—
1677C42—611no—
1678C42—611no—
1679C42—1221no—
1680C42—1221no—
1681C42—1221no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42—1221no—
1686C42—1221no—
1687C42C23×D6111yescharacteristic
1688C23—21no—
1689C23—21no—
1690C23—611no—
1691C23—611no—
1692C23—611no—
1693C23—1221no—
1694C23—1221no—
1695C23—1221no—
1696C23—4881no—
1697C23—4881no—
1698C23—2441no—
1699C23—2441no—
1700C23—2441no—
1701C23—2441no—
1702C23—2441no—
1703C23—2441no—
1704C23—2442no—
1705C23—2442no—
1706C23—2442no—
1707C23—2442no—
1708C23C2×D4×D6111yescharacteristic
1709C23C2×D4×D6111yescharacteristic
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—42no—
1718Q8—1221no—
1719Q8—1221no—
1720Q8—4881no—
1721Q8—2442no—
1722Q8—2442no—
1723Q8#1451982212yes—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—41no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—81no—
1733D4—612no—
1734D4—1224no—
1735D4—1222no—
1736D4—1222no—
1737D4—1221no—
1738D4—1221no—
1739D4—1221no—
1740D4—1221no—
1741D4—1221no—
1742D4—4881no—
1743D4—4881no—
1744D4—4881no—
1745D4—4881no—
1746D4—4881no—
1747D4—4881no—
1748D4—4881no—
1749D4—4881no—
1750D4—4881no—
1751D4—4881no—
1752D4—2441no—
1753D4—2442no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2442no—
1758D4—2442no—
1759D4—2442no—
1760D4—2442no—
1761D4—2442no—
1762D4—2442no—
1763D4—2442no—
1764D4—2442no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—611no—
1781C2×C4—611no—
1782C2×C4—611no—
1783C2×C4—611no—
1784C2×C4—611no—
1785C2×C4—1222no—
1786C2×C4—1224no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—4881no—
1799C2×C4—4881no—
1800C2×C4—4881no—
1801C2×C4—2441no—
1802C2×C4—2441no—
1803C2×C4—2441no—
1804C2×C4—2441no—
1805C2×C4—2441no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2442no—
1811C2×C4—2442no—
1812C2×C4—2442no—
1813C2×C4—2441no—
1814C2×C4—2441no—
1815C2×C4—2442no—
1816C2×C4C2×D4×D6111yescharacteristic
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C2×D4×D6111yescharacteristic
1819C2×C4C2×D4×D6111yescharacteristic
1820C2×C4C24×D6111yescharacteristic
1821C8—21no—
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—1221no—
1826C8—1221no—
1827C8—1221no—
1828C8—1221no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—1221no—
1842C22—1221no—
1843C22—1221no—
1844C22—1221no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1222no—
1849C22—1221no—
1850C22—1221no—
1851C22—4884no—
1852C22—4882no—
1853C22—4882no—
1854C22—4884no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22C22×D4×D6111yescharacteristic
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—612no—
1875C4—1221no—
1876C4—1221no—
1877C4—1221no—
1878C4—1221no—
1879C4—2441no—
1880C4—2441no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4H(5,𝔽2)×D6111yescharacteristic
1885C4C2×#1451982211yescharacteristic
1886C2—41no—
1887C2—41no—
1888C2—81no—
1889C2—81no—
1890C2—4881no—
1891C2—4881no—
1892C2—2441no—
1893C2—2441no—
1894C2—2441no—
1895C2—2442no—
1896C2#2145944711yescharacteristic
1897C2#575×D6111yescharacteristic
1898C2#2146058911yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3269C2
socleC22×C61C23×D4
hypercenter#3269D61
hypocenterC61#61608
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #21459669C2semidirect
2. #21459308C2semidirect
3. #21458095C2semidirect
4. #21458045C2semidirect
5. #21458010C2semidirect
6. #21458005C2semidirect
7. #21457982C2semidirect
8. #21457977C2semidirect
9. #21457751C2semidirect
10. #21457731C2semidirect
11. #21457573C2semidirect
12. #21457542C2semidirect
13. #21457479C2semidirect
14. #21457432C2semidirect
15. #21457369C2semidirect
16. #21457345C2semidirect
17. #21457343C2semidirect
18. #21456825C2semidirect
19. #21456751C2semidirect
20. #21456660C2semidirect
21. #21456657C2semidirect
22. #21456613C2semidirect
23. #21456609C2semidirect
24. #21455968C2semidirect
25. #21455889C2semidirect
26. #21455062C2semidirect
27. #21455060C2semidirect
28. #21455042C2semidirect
29. #21455033C2semidirect
30. #21454849C2semidirect
31. C61×#3269C2semidirect
34. C2×#14519809C22semidirect
35. C2×#14519804C22semidirect
36. C2×#14519802C22semidirect
37. C2×#14519800C22semidirect
38. C2×#14519800C22semidirect
39. C2×#14519797C22semidirect
43. #16840483C22semidirect
44. #16840477C22semidirect
45. #16840477C22semidirect
50. #16840431C22semidirect
53. #16840415C22semidirect
65. #16840317C22semidirect
68. #16840309C22semidirect
71. #16840275C22semidirect
72. #16840275C22semidirect
75. #16840269C22semidirect
76. #16840269C22semidirect
81. #16840154C22semidirect
82. #16840137C22semidirect
83. #16840133C22semidirect
84. #16840122C22semidirect
85. #16840121C22semidirect
86. #16840111C22semidirect
87. #16840107C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840102C22semidirect
91. #16840102C22semidirect
92. #16840102C22semidirect
93. #16840100C22semidirect
94. #16840089C22semidirect
95. #16840089C22semidirect
96. #16840087C22semidirect
97. #16840085C22semidirect
98. #16840084C22semidirect
99. #16840083C22semidirect
100. #16840047C22semidirect
101. #16840045C22semidirect
102. #16840043C22semidirect
103. #16840041C22semidirect
104. #16840018C22semidirect
105. #16840017C22semidirect
106. #16840014C22semidirect
107. #16840013C22semidirect
108. #16840011C22semidirect
109. #16840008C22semidirect
110. #16840005C22semidirect
111. #16840002C22semidirect
112. #16839998C22semidirect
113. #16839995C22semidirect
114. #16839993C22semidirect
115. #16839993C22semidirect
116. #16839990C22semidirect
117. #16839988C22semidirect
118. #16839978C22semidirect
119. #16839977C22semidirect
120. #16839974C22semidirect
121. #16839970C22semidirect
122. #16839970C22semidirect
123. #16839964C22semidirect
124. #16839960C22semidirect
125. #16839960C22semidirect
126. #16839960C22semidirect
127. #16839956C22semidirect
128. #16839927C22semidirect
129. #16839924C22semidirect
132. #16839923C22semidirect
133. #16839923C22semidirect
134. #16839923C22semidirect
135. #16839923C22semidirect
136. #16839923C22semidirect
137. #16839922C22semidirect
138. #16839921C22semidirect
139. #16839921C22semidirect
140. #16839916C22semidirect
141. #16839912C22semidirect
142. #16839911C22semidirect
144. #16839910C22semidirect
145. #16839910C22semidirect
146. #16839909C22semidirect
147. #16839908C22semidirect
148. #16839907C22semidirect
149. #16839907C22semidirect
151. #16839906C22semidirect
152. #16839906C22semidirect
153. #16839906C22semidirect
154. #16839906C22semidirect
155. #16839904C22semidirect
156. #16839901C22semidirect
157. #16839899C22semidirect
158. #16839898C22semidirect
159. #16839894C22semidirect
160. #16839875C22semidirect
161. #16839872C22semidirect
162. #16839860C22semidirect
163. Q16×Dic61C22semidirect
164. Q16×Dic61C22semidirect
165. #16839847C22semidirect
166. #16839847C22semidirect
169. #16839835C22semidirect
170. #16839834C22semidirect
171. #16839832C22semidirect
172. C8×C22⋊D61C22semidirect
173. #16839825C22semidirect
174. #16839817C22semidirect
175. #16839814C22semidirect
176. #16839771C22semidirect
177. #16839769C22semidirect
178. #16839768C22semidirect
179. #16839765C22semidirect
180. #16839759C22semidirect
181. #16839758C22semidirect
182. #16839757C22semidirect
183. #16839757C22semidirect
184. #16839725C22semidirect
185. #16839724C22semidirect
186. C2×#14519689C22semidirect
187. C22⋊C8×D61C22semidirect
188. C2×#137×C61C22semidirect
189. C2×#135×C61C22semidirect
191. C61×#547C22semidirect
192. C61×#497C22semidirect
193. C61×#468C22semidirect
194. C61×#467C22semidirect
195. C61×#463C22semidirect
196. C61×#462C22semidirect
197. C61×#452C22semidirect
198. C61×#452C22semidirect
199. C61×#451C22semidirect
200. C61×#449C22semidirect
201. C61×#440C22semidirect
202. C61×#435C22semidirect
952. #3269D61semidirect
984. C2×#137C2×D61semidirect
990. C2×#135C2×D61semidirect
1008. #547C2×D61semidirect
1035. #497C2×D61semidirect
1065. #468C2×D61semidirect
1067. #467C2×D61semidirect
1077. #463C2×D61semidirect
1080. #462C2×D61semidirect
1098. #452C2×D61semidirect
1099. #452C2×D61semidirect
1101. #451C2×D61semidirect
1117. #449C2×D61semidirect
1125. #440C2×D61semidirect
1135. #435C2×D61semidirect
1152. C61#61608semidirect

Maximal subgroups

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

subgroupindex
#214596692
#214593082
#214580952
#214580452
#214580102
#214580052
#214579822
#214579772
#214577512
#214577312
#214575732
#214575422
#214574792
#214574322
#214573692
#214573452
#214573432
#214568252
#214567512
#214566602
#214566572
#214566132
#214566092
#214559682
#214558892
#214550622
#214550602
#214550422
#214550332
#214548492
C61×#32692
#6160861