Finite Group Databasebeta

← #30571000

Subgroups — #30571000

Order 15616.

1656 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460325C211yesmaximal, characteristic, complemented
2#21458782C211yesmaximal, characteristic, complemented
3#21458773C211yesmaximal, characteristic, complemented
4#21458764C211yesmaximal, characteristic, complemented
5#21458758C211yesmaximal, characteristic, complemented
6#21458747C211yesmaximal, characteristic, complemented
7#21458740C211yesmaximal, characteristic, complemented
8#21458725C211yesmaximal, characteristic, complemented
9#21458714C211yesmaximal, characteristic, complemented
10#21458661C211yesmaximal, characteristic, complemented
11#21458646C211yesmaximal, characteristic, complemented
12#21458633C211yesmaximal, characteristic, complemented
13#21458611C211yesmaximal, characteristic, complemented
14#21458587C211yesmaximal, characteristic, complemented
15#21458572C211yesmaximal, characteristic, complemented
16#21458559C211yesmaximal, characteristic, complemented
17#21458537C211yesmaximal, characteristic, complemented
18#21457117C211yesmaximal, characteristic, complemented
19#21457102C211yesmaximal, characteristic, complemented
20#21457087C211yesmaximal, characteristic, complemented
21#21457072C211yesmaximal, characteristic, complemented
22#21457049C211yesmaximal, characteristic, complemented
23#21457040C211yesmaximal, characteristic, complemented
24#21456096C211yesmaximal, characteristic, complemented
25#21456081C211yesmaximal, characteristic, complemented
26#21456033C211yesmaximal, characteristic, complemented
27#21456018C211yesmaximal, characteristic
28#21455928C211yesmaximal, characteristic, complemented
29#21455928C211yesmaximal, characteristic, complemented
30#21454925C211yesmaximal, characteristic, complemented
31C61×#3503C211yesmaximal, characteristic, complemented
32#16840511—21no—
33#16840511—21no—
34#16840497C2211yescharacteristic
35#16840497C2211yescharacteristic
36#16840490C2211yescharacteristic
37#16840490C2211yescharacteristic
38#16840485C2211yescharacteristic
39#16840485C2211yescharacteristic
40#16840472C2211yescharacteristic
41#16840472C2211yescharacteristic
42#16840444—21no—
43#16840444—21no—
44#16840383C2211yescharacteristic
45#16840383C2211yescharacteristic
46#16840382—21no—
47#16840382—21no—
48#16840374C2211yescharacteristic
49#16840367C2211yescharacteristic
50#16840358—21no—
51#16840358—21no—
52#16840296C2211yescharacteristic
53#16840296C2211yescharacteristic
54#16840172C2211yescharacteristic
55#16840172C2211yescharacteristic
56#16840168C2211yescharacteristic
57#16840168C2211yescharacteristic
58#16840168C2211yescharacteristic
59#16840168C2211yescharacteristic
60#16840168C2211yescharacteristic
61#16840168C2211yescharacteristic
62#16840165C2211yescharacteristic
63#16840161C2211yescharacteristic
64#16840161C2211yescharacteristic
65#16840158C2211yescharacteristic
66#16840132C2211yescharacteristic
67#16840128C2211yescharacteristic
68#16840124C2211yescharacteristic
69#16840124C2211yescharacteristic
70#16840124C2211yescharacteristic
71#16840124C2211yescharacteristic
72#16840124C2211yescharacteristic
73#16840124C2211yescharacteristic
74#16840119C2211yescharacteristic
75#16840119C2211yescharacteristic
76#16840114C2211yescharacteristic
77#16840110C2211yescharacteristic
78#16840103C2211yescharacteristic
79#16840103C2211yescharacteristic
80#16840097C2211yescharacteristic
81#16840097C2211yescharacteristic
82#16840092C2211yescharacteristic
83#16840092C2211yescharacteristic
84#16840086C2211yescharacteristic
85#16840086C2211yescharacteristic
86#16840080C2211yescharacteristic
87#16840080C2211yescharacteristic
88#16840075C2211yescharacteristic
89#16840075C2211yescharacteristic
90#16840069C2211yescharacteristic
91#16840069C2211yescharacteristic
92#16840069C2211yescharacteristic
93#16840069C2211yescharacteristic
94#16840066C2211yescharacteristic
95#16840066C2211yescharacteristic
96#16840066C2211yescharacteristic
97#16840066C2211yescharacteristic
98#16840062C2211yescharacteristic
99#16840062C2211yescharacteristic
100#16840062C2211yescharacteristic
101#16840062C2211yescharacteristic
102#16840059C2211yescharacteristic
103#16840059C2211yescharacteristic
104#16840059C2211yescharacteristic
105#16840059C2211yescharacteristic
106#16840057C2211yescharacteristic
107#16840054C2211yescharacteristic
108#16840054C2211yescharacteristic
109#16840054C2211yescharacteristic
110#16840054C2211yescharacteristic
111#16840052C2211yescharacteristic
112#16840049C2211yescharacteristic
113#16840049C2211yescharacteristic
114#16840049C2211yescharacteristic
115#16840049C2211yescharacteristic
116#16840047C2211yescharacteristic
117#16840044C2211yescharacteristic
118#16840044C2211yescharacteristic
119#16840044C2211yescharacteristic
120#16840044C2211yescharacteristic
121#16840042C2211yescharacteristic
122#16840039C2211yescharacteristic
123#16840039C2211yescharacteristic
124#16840039C2211yescharacteristic
125#16840039C2211yescharacteristic
126#16839984C2211yescharacteristic
127#16839984C2211yescharacteristic
128#16839984C2211yescharacteristic
129#16839984C2211yescharacteristic
130#16839977C2211yescharacteristic
131#16839977C2211yescharacteristic
132#16839977C2211yescharacteristic
133#16839977C2211yescharacteristic
134#16839972C2211yescharacteristic
135#16839967C2211yescharacteristic
136#16839962C2211yescharacteristic
137#16839957C2211yescharacteristic
138#16839924C2211yescharacteristic
139#16839924C2211yescharacteristic
140#16839907C2211yescharacteristic
141#16839907C2211yescharacteristic
142#16839893C2211yescharacteristic
143#16839893C2211yescharacteristic
144#16839893C2211yescharacteristic
145#16839893C2211yescharacteristic
146#16839893C2211yescharacteristic
147#16839893C2211yescharacteristic
148#16839893C2211yescharacteristic
149#16839893C2211yescharacteristic
150#16839872C2211yescharacteristic
151#16839872C2211yescharacteristic
152#16839872C2211yescharacteristic
153#16839872C2211yescharacteristic
154#16839867C2211yescharacteristic
155#16839867C2211yescharacteristic
156#16839867C2211yescharacteristic
157#16839867C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839862C2211yescharacteristic
161#16839862C2211yescharacteristic
162#16839860C2211yescharacteristic
163#16839860C2211yescharacteristic
164#16839860C2211yescharacteristic
165#16839860C2211yescharacteristic
166C4×#11758202C2211yescharacteristic
167C4×#11758202C2211yescharacteristic
168C4×#11758201C2211yescharacteristic
169C4×#11758201C2211yescharacteristic
170C4×#11758200C2211yescharacteristic
171C4×#11758200C2211yescharacteristic
172C4×#11758199C2211yescharacteristic
173C4×#11758199C2211yescharacteristic
174#16839823C2211yescharacteristic
175#16839823C2211yescharacteristic
176#16839823C2211yescharacteristic
177#16839823C2211yescharacteristic
178#16839819C2211yescharacteristic
179#16839819C2211yescharacteristic
180Q82×C61C2211yescharacteristic
181Q82×C61C2211yescharacteristic
182C61×#557C2211yescharacteristic
183C61×#557C2211yescharacteristic
184C61×#554—21no—
185C61×#554—21no—
186C61×#554C2211yescharacteristic
187C61×#554C2211yescharacteristic
188D4×Q8×C61—21no—
189D4×Q8×C61—21no—
190D4×Q8×C61C2211yescharacteristic
191D4×Q8×C61C2211yescharacteristic
192C61×#544—21no—
193C61×#544—21no—
194C61×#544C2211yescharacteristic
195C61×#544C2211yescharacteristic
196C61×#533—21no—
197C61×#533C2211yescharacteristic
198C2×C4⋊Q8×C61—21no—
199C2×C4⋊Q8×C61C2211yescharacteristic
200C61×#520C2211yescharacteristic
201C61×#520C2211yescharacteristic
202C4×#41×C61C2211yescharacteristic
203C2×#11758202C2311yescharacteristic
204C2×#11758202C2311yescharacteristic
205C2×#11758200C2311yescharacteristic
206C2×#11758200C2311yescharacteristic
207C2×#11758201C2311yescharacteristic
208C2×#11758201C2311yescharacteristic
209C2×#11758199C2311yescharacteristic
210C2×#11758199C2311yescharacteristic
211#14519777C2311yescharacteristic
212#14519777C2311yescharacteristic
213#14519777C2311yescharacteristic
214#14519775—21no—
215#14519775—21no—
216#14519774C2311yescharacteristic
217#14519772—21no—
218#14519772—21no—
219#14519772—21no—
220#14519772—21no—
221#14519772—21no—
222#14519772—21no—
223#14519771—21no—
224#14519771—21no—
225#14519770—21no—
226#14519770—21no—
227#14519769C2311yescharacteristic
228#14519769C2311yescharacteristic
229#14519769C2311yescharacteristic
230#14519769C2311yescharacteristic
231#14519767—21no—
232#14519767—21no—
233#14519767—21no—
234#14519767—21no—
235#14519767—21no—
236#14519767—21no—
237#14519766—21no—
238#14519766—21no—
239#14519765C2311yescharacteristic
240#14519765C2311yescharacteristic
241#14519765C2311yescharacteristic
242#14519765C2311yescharacteristic
243#14519763—21no—
244#14519763—21no—
245#14519762—21no—
246#14519762—21no—
247#14519762—21no—
248#14519762—21no—
249#14519762—21no—
250#14519762—21no—
251#14519760—21no—
252#14519760—21no—
253#14519759—21no—
254#14519759—21no—
255#14519756C2311yescharacteristic
256#14519756C2311yescharacteristic
257#14519755—21no—
258#14519755—21no—
259#14519755—21no—
260#14519755—21no—
261#14519755—21no—
262#14519755—21no—
263#14519753—21no—
264#14519753—21no—
265#14519753—21no—
266#14519753—21no—
267#14519751C2311yescharacteristic
268#14519751C2311yescharacteristic
269#14519750—21no—
270#14519750—21no—
271C4×Dic122C2311yescharacteristic
272C4×Dic122C2311yescharacteristic
273C4×Dic122C2311yescharacteristic
274C4×Dic122C2311yescharacteristic
275C4×Dic122C2311yescharacteristic
276C4×Dic122C2311yescharacteristic
277#14519742—21no—
278#14519742—21no—
279C4×D244C2311yescharacteristic
280C4×D244C2311yescharacteristic
281C4×D244C2311yescharacteristic
282C4×D244C2311yescharacteristic
283C4×D244C2311yescharacteristic
284C4×D244C2311yescharacteristic
285#14519739—21no—
286#14519739—21no—
287C4×C22⋊D61—21no—
288C4×C22⋊D61—21no—
289#14519735—21no—
290#14519735—21no—
291#14519734—21no—
292#14519734—21no—
293C4⋊C4×D61—21no—
294C4⋊C4×D61—21no—
295#14519710C2311yescharacteristic
296#14519710C2311yescharacteristic
297#14519710C2311yescharacteristic
298#14519710C2311yescharacteristic
299#14519710C2311yescharacteristic
300#14519710C2311yescharacteristic
301#14519710C2311yescharacteristic
302#14519710C2311yescharacteristic
303#14519710C2311yescharacteristic
304#14519710C2311yescharacteristic
305#14519710C2311yescharacteristic
306#14519710C2311yescharacteristic
307#14519708C2311yescharacteristic
308#14519708C2311yescharacteristic
309#14519708C2311yescharacteristic
310#14519708C2311yescharacteristic
311#14519708C2311yescharacteristic
312#14519708C2311yescharacteristic
313#14519708C2311yescharacteristic
314#14519708C2311yescharacteristic
315#14519708C2311yescharacteristic
316#14519708C2311yescharacteristic
317#14519708C2311yescharacteristic
318#14519708C2311yescharacteristic
319C4⋊#92418C2311yescharacteristic
320C4⋊#92418C2311yescharacteristic
321C4⋊#92418C2311yescharacteristic
322C4⋊#92418C2311yescharacteristic
323C4⋊#92418C2311yescharacteristic
324C4⋊#92418C2311yescharacteristic
325C4⋊#92418C2311yescharacteristic
326C4⋊#92418C2311yescharacteristic
327C4⋊#92418C2311yescharacteristic
328C4⋊#92418C2311yescharacteristic
329C4⋊#92418C2311yescharacteristic
330C4⋊#92418C2311yescharacteristic
331#14519701C2311yescharacteristic
332#14519701C2311yescharacteristic
333#14519701C2311yescharacteristic
334#14519701C2311yescharacteristic
335#14519700C2311yescharacteristic
336#14519700C2311yescharacteristic
337#14519700C2311yescharacteristic
338#14519700C2311yescharacteristic
339#14519700C2311yescharacteristic
340#14519700C2311yescharacteristic
341#14519700C2311yescharacteristic
342#14519700C2311yescharacteristic
343#14519700C2311yescharacteristic
344#14519700C2311yescharacteristic
345#14519700C2311yescharacteristic
346#14519700C2311yescharacteristic
347#14519698C2311yescharacteristic
348#14519698C2311yescharacteristic
349#14519698C2311yescharacteristic
350#14519698C2311yescharacteristic
351#14519697C2311yescharacteristic
352#14519697C2311yescharacteristic
353#14519697C2311yescharacteristic
354#14519697C2311yescharacteristic
355#14519697C2311yescharacteristic
356#14519697C2311yescharacteristic
357#14519697C2311yescharacteristic
358#14519697C2311yescharacteristic
359#14519697C2311yescharacteristic
360#14519697C2311yescharacteristic
361#14519697C2311yescharacteristic
362#14519697C2311yescharacteristic
363C22⋊#92418C2311yescharacteristic
364C22⋊#92418C2311yescharacteristic
365C22⋊#92418C2311yescharacteristic
366C22⋊#92418C2311yescharacteristic
367#14519688C2311yescharacteristic
368#14519688C2311yescharacteristic
369#14519688C2311yescharacteristic
370#14519688C2311yescharacteristic
371#14519688C2311yescharacteristic
372#14519688C2311yescharacteristic
373#14519688C2311yescharacteristic
374#14519688C2311yescharacteristic
375C4×#92418C2311yescharacteristic
376C4×#92418C2311yescharacteristic
377C4×#92418C2311yescharacteristic
378C4×#92418C2311yescharacteristic
379C2×#41×C61C2311yescharacteristic
380C22×Q8×C61—21no—
381C22×Q8×C61—21no—
382C22×Q8×C61—21no—
383C4⋊Q8×C61—21no—
384C4⋊Q8×C61—21no—
385C4⋊Q8×C61—21no—
386C4⋊Q8×C61—21no—
387C4⋊Q8×C61—21no—
388C4⋊Q8×C61—21no—
389C4⋊Q8×C61—21no—
390C4⋊Q8×C61—21no—
391C4⋊Q8×C61—21no—
392C4⋊Q8×C61—21no—
393C4⋊Q8×C61—21no—
394C4⋊Q8×C61—21no—
395C4⋊Q8×C61D411yescharacteristic
396C4⋊Q8×C61D411yescharacteristic
397C4⋊Q8×C61C2311yescharacteristic
398C4⋊Q8×C61C2311yescharacteristic
399C4⋊Q8×C61C2311yescharacteristic
400C4⋊Q8×C61C2311yescharacteristic
401C4⋊Q8×C61C2311yescharacteristic
402C4⋊Q8×C61C2311yescharacteristic
403C4⋊Q8×C61C2311yescharacteristic
404C4⋊Q8×C61C2311yescharacteristic
405#125×C61—21no—
406#125×C61—21no—
407#125×C61—21no—
408#125×C61—21no—
409#125×C61—21no—
410#125×C61—21no—
411#125×C61D411yescharacteristic
412#125×C61D411yescharacteristic
413#125×C61C2311yescharacteristic
414#125×C61C2311yescharacteristic
415#125×C61C2311yescharacteristic
416#125×C61C2311yescharacteristic
417C22⋊Q8×C61—21no—
418C22⋊Q8×C61—21no—
419C22⋊Q8×C61—21no—
420C22⋊Q8×C61—21no—
421C22⋊Q8×C61—21no—
422C22⋊Q8×C61—21no—
423C22⋊Q8×C61—21no—
424C22⋊Q8×C61—21no—
425C22⋊Q8×C61—21no—
426C22⋊Q8×C61—21no—
427C22⋊Q8×C61—21no—
428C22⋊Q8×C61—21no—
429C22⋊Q8×C61—21no—
430C22⋊Q8×C61—21no—
431C22⋊Q8×C61—21no—
432C22⋊Q8×C61—21no—
433C22⋊Q8×C61D411yescharacteristic
434C22⋊Q8×C61D411yescharacteristic
435C22⋊Q8×C61D411yescharacteristic
436C22⋊Q8×C61D411yescharacteristic
437C4×Q8×C61—21no—
438C4×Q8×C61—21no—
439C4×Q8×C61—21no—
440C4×Q8×C61—21no—
441C4×Q8×C61C2311yescharacteristic
442C4×Q8×C61C2311yescharacteristic
443C4×Q8×C61C2311yescharacteristic
444C4×Q8×C61C2311yescharacteristic
445C4×Q8×C61C2311yescharacteristic
446C4×Q8×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×D4×C61—21no—
452C4×D4×C61—21no—
453C4×D4×C61—21no—
454C4×D4×C61—21no—
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463#117×C61—21no—
464#117×C61—21no—
465#117×C61—21no—
466#117×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61—21no—
470C2×C4⋊C4×C61—21no—
471C2×C4⋊C4×C61—21no—
472C2×C4⋊C4×C61—21no—
473C2×C4⋊C4×C61—21no—
474C2×C4⋊C4×C61C2311yescharacteristic
475C2×C4⋊C4×C61C2311yescharacteristic
476C2×C42×C61—21no—
477C2×C42×C61C2311yescharacteristic
478#41×C61—22no—
479#41×C61—22no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61—82no—
489C2×Q8×C61—82no—
490C2×Q8×C61—82no—
491C2×Q8×C61C2×D411yescharacteristic
492C2×Q8×C61C2×D411yescharacteristic
493C2×Q8×C61C2×D411yescharacteristic
494C2×Q8×C61C2×D411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61C2×D411yescharacteristic
508C22×C4×C61C2×D411yescharacteristic
509C22×C4×C61C2411yescharacteristic
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244C2411yescharacteristic
515C2×D244C2411yescharacteristic
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122C2411yescharacteristic
525C2×Dic122C2411yescharacteristic
526C4⋊C4×C61—21no—
527C4⋊C4×C61—21no—
528C4⋊C4×C61—21no—
529C4⋊C4×C61—21no—
530C4⋊C4×C61—21no—
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61C2×D411yescharacteristic
551C4⋊C4×C61C2×D411yescharacteristic
552C4⋊C4×C61C2×D411yescharacteristic
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2×D411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61C2×D411yescharacteristic
580C22⋊C4×C61C2×D411yescharacteristic
581C22⋊C4×C61C2×D411yescharacteristic
582C22⋊C4×C61C2×D411yescharacteristic
583C42×C61—21no—
584C42×C61—21no—
585C42×C61—21no—
586C42×C61—21no—
587C42×C61—21no—
588C42×C61—21no—
589C42×C61—21no—
590C42×C61C2×D411yescharacteristic
591C42×C61C2×D411yescharacteristic
592C42×C61C2411yescharacteristic
593C42×C61C2411yescharacteristic
594C42×C61C2411yescharacteristic
595C42×C61C2411yescharacteristic
596C42×C61C2411yescharacteristic
597C42×C61C2411yescharacteristic
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600#11758202—22no—
601#11758202—22no—
602#11758201—22no—
603#11758201—22no—
604#11758200—22no—
605#11758200—22no—
606#11758199—22no—
607#11758199—22no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
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—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C2×#92418C2411yescharacteristic
655C2×#92418C2411yescharacteristic
656C2×#92418C2411yescharacteristic
657C2×#92418C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C23×C61—21no—
663C23×C61C22×D411yescharacteristic
664C22×D61—21no—
665C22×D61—21no—
666Q8×C61—21no—
667Q8×C61—41no—
668Q8×C61—41no—
669Q8×C61—41no—
670Q8×C61—41no—
671Q8×C61—42no—
672Q8×C61—42no—
673Q8×C61—81no—
674Q8×C61—81no—
675Q8×C61—81no—
676Q8×C61—81no—
677Q8×C61—81no—
678Q8×C61—81no—
679Q8×C612−1+412yes—
680D4×C61—24no—
681D4×C61—21no—
682D4×C612−1+412yes—
683C2×C4×C61—24no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—41no—
694C2×C4×C61—41no—
695C2×C4×C61—42no—
696C2×C4×C61—42no—
697C2×C4×C61—81no—
698C2×C4×C61—81no—
699C2×C4×C61—81no—
700C2×C4×C61—81no—
701C2×C4×C61—81no—
702C2×C4×C61—81no—
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C22×D411yescharacteristic
705C2×C4×C61C22×D411yescharacteristic
706C2×C4×C61C22×D411yescharacteristic
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C2511yescharacteristic
717C22⋊D61—81no—
718C22⋊D61—81no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725D244—21no—
726D244—21no—
727D244—21no—
728D244—21no—
729D244—81no—
730D244—81no—
731C4×D61—81no—
732C4×D61—81no—
733C4×D61—81no—
734C4×D61—81no—
735C4×D61—81no—
736C4×D61—81no—
737Dic122—21no—
738Dic122—21no—
739Dic122—21no—
740Dic122—21no—
741Dic122—81no—
742Dic122—81no—
743#92418—21no—
744#92418—21no—
745#92418—21no—
746#92418—21no—
747#92418—21no—
748#92418—21no—
749#92418—21no—
750#92418—21no—
751#61879—611nomaximal, Sylow
752C22×C61—21no—
753C22×C61—21no—
754C22×C61—21no—
755C22×C61—22no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61C23×D411yescharacteristic
759C2×D61—41no—
760C2×D61—41no—
761C2×D61—41no—
762C2×D61—41no—
763C2×D61—41no—
764C2×D61—41no—
765C4×C61—21no—
766C4×C61—21no—
767C4×C61—21no—
768C4×C61—21no—
769C4×C61—21no—
770C4×C61—21no—
771C4×C61—21no—
772C4×C61—21no—
773C4×C61—21no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—22no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61C2×2−1+411yescharacteristic
786C4×C61C2×2−1+411yescharacteristic
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3557—611no—
794#3503D6111yescharacteristic, complemented
795#3390—611no—
796#3389—611no—
797#3388—611no—
798#3388—611no—
799#3387—611no—
800#3386—611no—
801#3385—611no—
802#3384—611no—
803#3377—611no—
804#3376—611no—
805#3375—611no—
806#3373—611no—
807#3371—611no—
808#3370—611no—
809#3369—611no—
810#3367—611no—
811#3244—611no—
812#3243—611no—
813#3242—611no—
814#3241—611no—
815#3239—611no—
816#3238—611no—
817#3125—611no—
818#3124—611no—
819#3120—611no—
820#3119—611no—
821#3111—611no—
822#3111—611no—
823#2987—611no—
824C2×C61—41no—
825C2×C61—42no—
826C2×C61#348611yescharacteristic
827C2×C61#358511yescharacteristic
828C2×C61#358611yescharacteristic
829D61—81no—
830D61—81no—
831#563—1221no—
832#563—1221no—
833#559—611no—
834#559—611no—
835Q82C2×D6111yescharacteristic
836Q82C2×D6111yescharacteristic
837#557—611no—
838#557—611no—
839#557C2×D6111yescharacteristic
840#557C2×D6111yescharacteristic
841#556—611no—
842#556—611no—
843#554—21no—
844#554—21no—
845#554—611no—
846#554—611no—
847#554C2×D6111yescharacteristic
848#554C2×D6111yescharacteristic
849#552—1221no—
850#552—1221no—
851D4×Q8—21no—
852D4×Q8—21no—
853D4×Q8C2×D6111yescharacteristic
854D4×Q8C2×D6111yescharacteristic
855#544—21no—
856#544—21no—
857#544C2×D6111yescharacteristic
858#544C2×D6111yescharacteristic
859#542—611no—
860#542—611no—
861#542—1221no—
862#542—1221no—
863#541—611no—
864#540—611no—
865#539—1221no—
866#539—1221no—
867#533—21no—
868#533C2×D6111yescharacteristic
869C2×C4⋊Q8—21no—
870C2×C4⋊Q8C2×D6111yescharacteristic
871#529—611no—
872#529—611no—
873#520C2×D6111yescharacteristic
874#520C2×D6111yescharacteristic
875C4×#41C2×D6111yescharacteristic
876#501—611no—
877#501—611no—
878#501—611no—
879#501—611no—
880#501—611no—
881#501—611no—
882#501—611no—
883#501—611no—
884#500—611no—
885#499—611no—
886#499—611no—
887#498—611no—
888#491—611no—
889#490—611no—
890#489—611no—
891#489—611no—
892#489—611no—
893#489—611no—
894#489—611no—
895#489—611no—
896#488—611no—
897#488—611no—
898#487—611no—
899#486—611no—
900#485—611no—
901#485—611no—
902#484—611no—
903#484—611no—
904#483—611no—
905#483—611no—
906#482—611no—
907#482—611no—
908#481—611no—
909#481—611no—
910#480—611no—
911#480—611no—
912#479—611no—
913#479—611no—
914#479—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#478—611no—
921#478—611no—
922#478—611no—
923#478—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#478—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477—611no—
932#477—611no—
933#476—611no—
934#476—611no—
935#476—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#475—611no—
943#474—611no—
944#474—611no—
945#474—611no—
946#474—611no—
947#474—611no—
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#463—611no—
953#463—611no—
954#463—611no—
955#463—611no—
956#462—611no—
957#461—611no—
958#460—611no—
959#459—611no—
960#452—611no—
961#452—611no—
962#449—611no—
963#449—611no—
964#446—611no—
965#446—611no—
966#446—611no—
967#446—611no—
968#446—611no—
969#446—611no—
970#446—611no—
971#446—611no—
972#442—611no—
973#442—611no—
974#442—611no—
975#442—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983#440—611no—
984#440—611no—
985#440—611no—
986#440—611no—
987#440—611no—
988C4×Q16—611no—
989C4×Q16—611no—
990C4×SD16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×SD16—611no—
994C4×D8—611no—
995C4×D8—611no—
996#433—611no—
997#433—611no—
998#433—611no—
999#433—611no—
1000#432—611no—
1001#432—611no—
1002C61#6187911yescharacteristic, complemented, Sylow
1003C2×#41C22×D6111yescharacteristic
1004C22×Q8—21no—
1005C22×Q8—21no—
1006C22×Q8—21no—
1007C2×Q16—611no—
1008C2×Q16—611no—
1009C2×SD16—611no—
1010C2×SD16—611no—
1011C2×SD16—611no—
1012C2×SD16—611no—
1013C2×D8—611no—
1014C2×D8—611no—
1015C4⋊Q8—21no—
1016C4⋊Q8—21no—
1017C4⋊Q8—21no—
1018C4⋊Q8—21no—
1019C4⋊Q8—21no—
1020C4⋊Q8—21no—
1021C4⋊Q8—21no—
1022C4⋊Q8—21no—
1023C4⋊Q8—21no—
1024C4⋊Q8—21no—
1025C4⋊Q8—21no—
1026C4⋊Q8—21no—
1027C4⋊Q8—611no—
1028C4⋊Q8—611no—
1029C4⋊Q8—611no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8C22⋊D6111yescharacteristic
1033C4⋊Q8C22⋊D6111yescharacteristic
1034C4⋊Q8C22×D6111yescharacteristic
1035C4⋊Q8C22×D6111yescharacteristic
1036C4⋊Q8C22×D6111yescharacteristic
1037C4⋊Q8C22×D6111yescharacteristic
1038C4⋊Q8C22×D6111yescharacteristic
1039C4⋊Q8C22×D6111yescharacteristic
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042#127—611no—
1043#126—1221no—
1044#126—1221no—
1045#126—1221no—
1046#126—1221no—
1047#126—1221no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#125—21no—
1054#125—21no—
1055#125—21no—
1056#125—21no—
1057#125—21no—
1058#125—21no—
1059#125—611no—
1060#125—611no—
1061#125—611no—
1062#125—611no—
1063#125—1221no—
1064#125—1221no—
1065#125—1221no—
1066#125—1221no—
1067#125—1221no—
1068#125—1221no—
1069#125C22⋊D6111yescharacteristic
1070#125C22⋊D6111yescharacteristic
1071#125C22×D6111yescharacteristic
1072#125C22×D6111yescharacteristic
1073#125C22×D6111yescharacteristic
1074#125C22×D6111yescharacteristic
1075#124—611no—
1076#124—611no—
1077#124—611no—
1078#124—611no—
1079#124—1221no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#123—1221no—
1084#123—1221no—
1085#123—1221no—
1086#123—1221no—
1087#123—1221no—
1088#123—1221no—
1089#123—1221no—
1090#123—1221no—
1091#123—1221no—
1092#123—1221no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8C22⋊D6111yescharacteristic
1122C22⋊Q8C22⋊D6111yescharacteristic
1123C22⋊Q8C22⋊D6111yescharacteristic
1124C22⋊Q8C22⋊D6111yescharacteristic
1125#121—611no—
1126#121—611no—
1127#121—1221no—
1128#121—1221no—
1129C4×Q8—21no—
1130C4×Q8—21no—
1131C4×Q8—21no—
1132C4×Q8—21no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—1221no—
1140C4×Q8—1221no—
1141C4×Q8C22×D6111yescharacteristic
1142C4×Q8C22×D6111yescharacteristic
1143C4×Q8C22×D6111yescharacteristic
1144C4×Q8C22×D6111yescharacteristic
1145C4×Q8C22×D6111yescharacteristic
1146C4×Q8C22×D6111yescharacteristic
1147C4×Q8C22×D6111yescharacteristic
1148C4×Q8C22×D6111yescharacteristic
1149C4×Q8C22×D6111yescharacteristic
1150C4×Q8C22×D6111yescharacteristic
1151C4×D4—21no—
1152C4×D4—21no—
1153C4×D4—21no—
1154C4×D4—21no—
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—611no—
1162C4×D4—611no—
1163C4×D4—1221no—
1164C4×D4—1221no—
1165C4×D4—1221no—
1166C4×D4—1221no—
1167C4×D4C22×D6111yescharacteristic
1168C4×D4C22×D6111yescharacteristic
1169C4×D4C22×D6111yescharacteristic
1170C4×D4C22×D6111yescharacteristic
1171C4×D4C22×D6111yescharacteristic
1172C4×D4C22×D6111yescharacteristic
1173#117—21no—
1174#117—21no—
1175#117—21no—
1176#117—1221no—
1177#117—1221no—
1178#117—1221no—
1179#117—1221no—
1180#117C22×D6111yescharacteristic
1181#117C22×D6111yescharacteristic
1182#117C22×D6111yescharacteristic
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—21no—
1185C2×C4⋊C4—21no—
1186C2×C4⋊C4—21no—
1187C2×C4⋊C4—21no—
1188C2×C4⋊C4—1221no—
1189C2×C4⋊C4—1221no—
1190C2×C4⋊C4C22×D6111yescharacteristic
1191C2×C4⋊C4C22×D6111yescharacteristic
1192C2×C42—21no—
1193C2×C42C22×D6111yescharacteristic
1194#107—611no—
1195#107—611no—
1196#107—611no—
1197#107—611no—
1198#107—611no—
1199#107—611no—
1200#107—611no—
1201#107—611no—
1202#107—611no—
1203#107—611no—
1204#107—611no—
1205#107—611no—
1206#106—611no—
1207#106—611no—
1208#106—611no—
1209#106—611no—
1210#106—611no—
1211#106—611no—
1212#106—611no—
1213#106—611no—
1214#106—611no—
1215#106—611no—
1216#106—611no—
1217#106—611no—
1218C4⋊C8—611no—
1219C4⋊C8—611no—
1220C4⋊C8—611no—
1221C4⋊C8—611no—
1222C4⋊C8—611no—
1223C4⋊C8—611no—
1224C4⋊C8—611no—
1225C4⋊C8—611no—
1226C4⋊C8—611no—
1227C4⋊C8—611no—
1228C4⋊C8—611no—
1229C4⋊C8—611no—
1230#103—611no—
1231#103—611no—
1232#103—611no—
1233#103—611no—
1234#103—611no—
1235#103—611no—
1236#103—611no—
1237#103—611no—
1238#103—611no—
1239#103—611no—
1240#103—611no—
1241#103—611no—
1242#103—611no—
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#102—611no—
1247#102—611no—
1248#102—611no—
1249#102—611no—
1250#102—611no—
1251#102—611no—
1252#102—611no—
1253#102—611no—
1254#102—611no—
1255#102—611no—
1256#102—611no—
1257#102—611no—
1258#102—611no—
1259#102—611no—
1260#102—611no—
1261#102—611no—
1262C22⋊C8—611no—
1263C22⋊C8—611no—
1264C22⋊C8—611no—
1265C22⋊C8—611no—
1266#97—611no—
1267#97—611no—
1268#97—611no—
1269#97—611no—
1270#97—611no—
1271#97—611no—
1272#97—611no—
1273#97—611no—
1274C4×C8—611no—
1275C4×C8—611no—
1276C4×C8—611no—
1277C4×C8—611no—
1278#41—22no—
1279#41—22no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—21no—
1283C2×Q8—21no—
1284C2×Q8—21no—
1285C2×Q8—21no—
1286C2×Q8—21no—
1287C2×Q8—21no—
1288C2×Q8—82no—
1289C2×Q8—82no—
1290C2×Q8—82no—
1291C2×Q8—611no—
1292C2×Q8—611no—
1293C2×Q8—1221no—
1294C2×Q8—1221no—
1295C2×Q8C2×C22⋊D6111yescharacteristic
1296C2×Q8C2×C22⋊D6111yescharacteristic
1297C2×Q8C2×C22⋊D6111yescharacteristic
1298C2×Q8C2×C22⋊D6111yescharacteristic
1299C2×Q8C23×D6111yescharacteristic
1300C2×D4—21no—
1301C2×D4—611no—
1302C2×D4—611no—
1303C2×D4—1221no—
1304C2×D4—1221no—
1305C2×D4—1221no—
1306C2×D4—1221no—
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—1221no—
1318C22×C4—1221no—
1319C22×C4—1221no—
1320C22×C4—1221no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4C2×C22⋊D6111yescharacteristic
1324C22×C4C2×C22⋊D6111yescharacteristic
1325C22×C4C23×D6111yescharacteristic
1326Q16—1222no—
1327Q16—1222no—
1328SD16—1222no—
1329SD16—1222no—
1330SD16—1222no—
1331SD16—1222no—
1332D8—1222no—
1333D8—1222no—
1334C2×C8—611no—
1335C2×C8—611no—
1336C2×C8—611no—
1337C2×C8—611no—
1338C2×C8—611no—
1339C2×C8—611no—
1340C2×C8—611no—
1341C2×C8—611no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—21no—
1350C4⋊C4—21no—
1351C4⋊C4—21no—
1352C4⋊C4—21no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—1221no—
1371C4⋊C4—1221no—
1372C4⋊C4—1221no—
1373C4⋊C4—1221no—
1374C4⋊C4—1221no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
1389C4⋊C4—1221no—
1390C4⋊C4C2×C22⋊D6111yescharacteristic
1391C4⋊C4C2×C22⋊D6111yescharacteristic
1392C4⋊C4C2×C22⋊D6111yescharacteristic
1393C4⋊C4C2×C22⋊D6111yescharacteristic
1394C4⋊C4C2×C22⋊D6111yescharacteristic
1395C4⋊C4C2×C22⋊D6111yescharacteristic
1396C4⋊C4C2×C22⋊D6111yescharacteristic
1397C4⋊C4C2×C22⋊D6111yescharacteristic
1398C4⋊C4C2×C22⋊D6111yescharacteristic
1399C4⋊C4C2×C22⋊D6111yescharacteristic
1400C4⋊C4C2×C22⋊D6111yescharacteristic
1401C4⋊C4C2×C22⋊D6111yescharacteristic
1402C4⋊C4C2×C22⋊D6111yescharacteristic
1403C4⋊C4C2×C22⋊D6111yescharacteristic
1404C4⋊C4C2×C22⋊D6111yescharacteristic
1405C4⋊C4C2×C22⋊D6111yescharacteristic
1406C4⋊C4C23×D6111yescharacteristic
1407C4⋊C4C23×D6111yescharacteristic
1408C4⋊C4C23×D6111yescharacteristic
1409C4⋊C4C23×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C22⋊C4—21no—
1413C22⋊C4—21no—
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—1221no—
1420C22⋊C4—1221no—
1421C22⋊C4—1221no—
1422C22⋊C4—1221no—
1423C22⋊C4—1221no—
1424C22⋊C4—1221no—
1425C22⋊C4—1221no—
1426C22⋊C4—1221no—
1427C22⋊C4—1221no—
1428C22⋊C4—1221no—
1429C22⋊C4—1221no—
1430C22⋊C4—1221no—
1431C22⋊C4—1221no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4C2×C22⋊D6111yescharacteristic
1438C22⋊C4C2×C22⋊D6111yescharacteristic
1439C22⋊C4C2×C22⋊D6111yescharacteristic
1440C22⋊C4C2×C22⋊D6111yescharacteristic
1441C42—21no—
1442C42—21no—
1443C42—21no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—21no—
1448C42—1221no—
1449C42—1221no—
1450C42—1221no—
1451C42—1221no—
1452C42—1221no—
1453C42—1221no—
1454C42C2×C22⋊D6111yescharacteristic
1455C42C2×C22⋊D6111yescharacteristic
1456C42C23×D6111yescharacteristic
1457C42C23×D6111yescharacteristic
1458C42C23×D6111yescharacteristic
1459C42C23×D6111yescharacteristic
1460C42C23×D6111yescharacteristic
1461C42C23×D6111yescharacteristic
1462C23—21no—
1463C23—1221no—
1464C23—1221no—
1465C23C22×C22⋊D6111yescharacteristic
1466Q8—21no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—41no—
1471Q8—42no—
1472Q8—42no—
1473Q8—81no—
1474Q8—81no—
1475Q8—81no—
1476Q8—81no—
1477Q8—81no—
1478Q8—81no—
1479Q8—1221no—
1480Q8—1221no—
1481Q8—1221no—
1482Q8—1221no—
1483Q8—4881no—
1484Q8—4881no—
1485Q8#1451982512yes—
1486D4—24no—
1487D4—21no—
1488D4—1221no—
1489D4—1221no—
1490D4—1221no—
1491D4—1221no—
1492D4—4881no—
1493D4—4881no—
1494D4—4881no—
1495D4—4881no—
1496D4#1451982512yes—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—42no—
1510C2×C4—42no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4—81no—
1516C2×C4—81no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—1221no—
1522C2×C4—1221no—
1523C2×C4—4881no—
1524C2×C4—4881no—
1525C2×C4—4881no—
1526C2×C4—4881no—
1527C2×C4—4881no—
1528C2×C4—4881no—
1529C2×C4C22×C22⋊D6111yescharacteristic
1530C2×C4C22×C22⋊D6111yescharacteristic
1531C2×C4C22×C22⋊D6111yescharacteristic
1532C2×C4C22×C22⋊D6111yescharacteristic
1533C2×C4C22×C22⋊D6111yescharacteristic
1534C2×C4C22×C22⋊D6111yescharacteristic
1535C2×C4C22×C22⋊D6111yescharacteristic
1536C2×C4C22×C22⋊D6111yescharacteristic
1537C2×C4C22×C22⋊D6111yescharacteristic
1538C2×C4C22×C22⋊D6111yescharacteristic
1539C2×C4C22×C22⋊D6111yescharacteristic
1540C2×C4C22×C22⋊D6111yescharacteristic
1541C2×C4C22×C22⋊D6111yescharacteristic
1542C2×C4C24×D6111yescharacteristic
1543C8—1221no—
1544C8—1221no—
1545C8—1221no—
1546C8—1221no—
1547C8—1221no—
1548C8—1221no—
1549C8—1221no—
1550C8—1221no—
1551C22—21no—
1552C22—22no—
1553C22—21no—
1554C22—21no—
1555C22—41no—
1556C22—41no—
1557C22—2441no—
1558C22—2441no—
1559C22—2441no—
1560C22—2441no—
1561C22—2441no—
1562C22—2441no—
1563C22C23×C22⋊D6111yescharacteristic
1564C4—21no—
1565C4—22no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—21no—
1576C4—21no—
1577C4—21no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C4C2×#1451982511yescharacteristic
1591C4C2×#1451982511yescharacteristic
1592C2—41no—
1593C2—42no—
1594C2—4881no—
1595C2—4881no—
1596C2#2145947011yescharacteristic
1597C2#2146059911yescharacteristic
1598C2#2146060611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3503C2
socleC22×C61C23×D4
prime radical#21456018C2
hypercenter#3503D61
hypocenterC61#61879
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #533 ◁ #3503

Complements

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

NH ≅ G/Ntype
1. #21460325C2semidirect
2. #21458782C2semidirect
3. #21458773C2semidirect
4. #21458764C2semidirect
5. #21458758C2semidirect
6. #21458747C2semidirect
7. #21458740C2semidirect
8. #21458725C2semidirect
9. #21458714C2semidirect
10. #21458661C2semidirect
11. #21458646C2semidirect
12. #21458633C2semidirect
13. #21458611C2semidirect
14. #21458587C2semidirect
15. #21458572C2semidirect
16. #21458559C2semidirect
17. #21458537C2semidirect
18. #21457117C2semidirect
19. #21457102C2semidirect
20. #21457087C2semidirect
21. #21457072C2semidirect
22. #21457049C2semidirect
23. #21457040C2semidirect
24. #21456096C2semidirect
25. #21456081C2semidirect
26. #21456033C2semidirect
28. #21455928C2semidirect
29. #21455928C2semidirect
30. #21454925C2semidirect
31. C61×#3503C2semidirect
794. #3503D61semidirect
1002. C61#61879semidirect

Maximal subgroups

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

subgroupindex
#214603252
#214587822
#214587732
#214587642
#214587582
#214587472
#214587402
#214587252
#214587142
#214586612
#214586462
#214586332
#214586112
#214585872
#214585722
#214585592
#214585372
#214571172
#214571022
#214570872
#214570722
#214570492
#214570402
#214560962
#214560812
#214560332
#214560182
#214559282
#214549252
C61×#35032
#6187961