Finite Group Databasebeta

← #30570988

Subgroups — #30570988

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#21459631C211yesmaximal, characteristic, complemented
2#21458782C211yesmaximal, characteristic, complemented
3#21458773C211yesmaximal, characteristic, complemented
4#21458764C211yesmaximal, characteristic, complemented
5#21458758C211yesmaximal, characteristic, complemented
6#21458751C211yesmaximal, characteristic, complemented
7#21458736C211yesmaximal, characteristic, complemented
8#21458729C211yesmaximal, characteristic, complemented
9#21458718C211yesmaximal, characteristic, complemented
10#21458655C211yesmaximal, characteristic, complemented
11#21458640C211yesmaximal, characteristic, complemented
12#21458629C211yesmaximal, characteristic, complemented
13#21458607C211yesmaximal, characteristic, complemented
14#21458581C211yesmaximal, characteristic, complemented
15#21458566C211yesmaximal, characteristic, complemented
16#21458555C211yesmaximal, characteristic, complemented
17#21458533C211yesmaximal, characteristic, complemented
18#21457111C211yesmaximal, characteristic, complemented
19#21457096C211yesmaximal, characteristic, complemented
20#21457081C211yesmaximal, characteristic, complemented
21#21457066C211yesmaximal, characteristic, complemented
22#21457046C211yesmaximal, characteristic, complemented
23#21457037C211yesmaximal, characteristic, complemented
24#21456090C211yesmaximal, characteristic, complemented
25#21456075C211yesmaximal, characteristic, complemented
26#21456027C211yesmaximal, characteristic, complemented
27#21456012C211yesmaximal, characteristic
28#21455922C211yesmaximal, characteristic, complemented
29#21455922C211yesmaximal, characteristic, complemented
30#21454925C211yesmaximal, characteristic, complemented
31C61×#3557C211yesmaximal, characteristic, complemented
32Q8×Dic122C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic
34#16840490C2211yescharacteristic
35#16840490C2211yescharacteristic
36#16840472C2211yescharacteristic
37#16840472C2211yescharacteristic
38#16840470—21no—
39#16840470—21no—
40Q8×D244C2211yescharacteristic
41Q8×D244C2211yescharacteristic
42#16840425—21no—
43#16840425—21no—
44#16840392—21no—
45#16840392—21no—
46#16840390C2211yescharacteristic
47#16840390C2211yescharacteristic
48#16840317—21no—
49C2×#14519777C2211yescharacteristic
50C4⋊Q8×D61—21no—
51#16840242C2211yescharacteristic
52#16840242C2211yescharacteristic
53C4×#11758222C2211yescharacteristic
54#16840172C2211yescharacteristic
55#16840172C2211yescharacteristic
56#16840172C2211yescharacteristic
57#16840172C2211yescharacteristic
58#16840172C2211yescharacteristic
59#16840172C2211yescharacteristic
60#16840168C2211yescharacteristic
61#16840168C2211yescharacteristic
62#16840165C2211yescharacteristic
63#16840161C2211yescharacteristic
64#16840161C2211yescharacteristic
65#16840158C2211yescharacteristic
66#16840130C2211yescharacteristic
67#16840126C2211yescharacteristic
68#16840121C2211yescharacteristic
69#16840121C2211yescharacteristic
70#16840121C2211yescharacteristic
71#16840121C2211yescharacteristic
72#16840121C2211yescharacteristic
73#16840121C2211yescharacteristic
74#16840116C2211yescharacteristic
75#16840116C2211yescharacteristic
76#16840112C2211yescharacteristic
77#16840108C2211yescharacteristic
78#16840100C2211yescharacteristic
79#16840100C2211yescharacteristic
80#16840095C2211yescharacteristic
81#16840095C2211yescharacteristic
82#16840090C2211yescharacteristic
83#16840090C2211yescharacteristic
84#16840083C2211yescharacteristic
85#16840083C2211yescharacteristic
86#16840078C2211yescharacteristic
87#16840078C2211yescharacteristic
88#16840073C2211yescharacteristic
89#16840073C2211yescharacteristic
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#16840057C2211yescharacteristic
108#16840057C2211yescharacteristic
109#16840057C2211yescharacteristic
110#16840054C2211yescharacteristic
111#16840052C2211yescharacteristic
112#16840052C2211yescharacteristic
113#16840052C2211yescharacteristic
114#16840052C2211yescharacteristic
115#16840049C2211yescharacteristic
116#16840047C2211yescharacteristic
117#16840047C2211yescharacteristic
118#16840047C2211yescharacteristic
119#16840047C2211yescharacteristic
120#16840044C2211yescharacteristic
121#16840042C2211yescharacteristic
122#16840042C2211yescharacteristic
123#16840042C2211yescharacteristic
124#16840042C2211yescharacteristic
125#16840039C2211yescharacteristic
126#16839981C2211yescharacteristic
127#16839981C2211yescharacteristic
128#16839981C2211yescharacteristic
129#16839981C2211yescharacteristic
130#16839974C2211yescharacteristic
131#16839974C2211yescharacteristic
132#16839974C2211yescharacteristic
133#16839974C2211yescharacteristic
134#16839969C2211yescharacteristic
135#16839964C2211yescharacteristic
136#16839959C2211yescharacteristic
137#16839954C2211yescharacteristic
138#16839922C2211yescharacteristic
139#16839922C2211yescharacteristic
140#16839905C2211yescharacteristic
141#16839905C2211yescharacteristic
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
180C61×#563—21no—
181C61×#563—21no—
182C61×#559C2211yescharacteristic
183C61×#559C2211yescharacteristic
184C61×#557C2211yescharacteristic
185C61×#557C2211yescharacteristic
186C61×#556C2211yescharacteristic
187C61×#556C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#554C2211yescharacteristic
190C61×#552—21no—
191C61×#552—21no—
192C61×#542—21no—
193C61×#542—21no—
194C61×#542C2211yescharacteristic
195C61×#542C2211yescharacteristic
196C61×#541C2211yescharacteristic
197C61×#540C2211yescharacteristic
198C61×#539—21no—
199C61×#539—21no—
200C61×#533C2211yescharacteristic
201C61×#529C2211yescharacteristic
202C61×#529C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C22×Dic122—21no—
205C2×Q8×D61—21no—
206C2×Q8×D61—21no—
207C2×#11758202C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758201C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758199C2311yescharacteristic
215#14519777—21no—
216#14519777—21no—
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519777C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776—21no—
233#14519775—21no—
234#14519775—21no—
235#14519769C2311yescharacteristic
236#14519769C2311yescharacteristic
237#14519769C2311yescharacteristic
238#14519769C2311yescharacteristic
239#14519768—21no—
240#14519768—21no—
241#14519767—21no—
242#14519767—21no—
243#14519767—21no—
244#14519767—21no—
245#14519757—21no—
246#14519757—21no—
247#14519757—21no—
248#14519757—21no—
249#14519757—21no—
250#14519757—21no—
251#14519755—21no—
252#14519755—21no—
253#14519755—21no—
254#14519755—21no—
255#14519754—21no—
256#14519754—21no—
257#14519754—21no—
258#14519754—21no—
259#14519753—21no—
260#14519753—21no—
261Q8×Dic61—21no—
262Q8×Dic61—21no—
263C4×Dic122C2311yescharacteristic
264C4×Dic122C2311yescharacteristic
265C4×Dic122C2311yescharacteristic
266C4×Dic122C2311yescharacteristic
267C4×Dic122C2311yescharacteristic
268C4×Dic122C2311yescharacteristic
269#14519742—21no—
270#14519742—21no—
271C4×D244C2311yescharacteristic
272C4×D244C2311yescharacteristic
273C4×D244C2311yescharacteristic
274C4×D244C2311yescharacteristic
275C4×D244C2311yescharacteristic
276C4×D244C2311yescharacteristic
277C4×C22⋊D61—21no—
278C4×C22⋊D61—21no—
279#14519737—21no—
280#14519737—21no—
281#14519737—21no—
282#14519737—21no—
283#14519736C2311yescharacteristic
284#14519735—21no—
285#14519735—21no—
286#14519734—21no—
287C2×C4⋊Dic61—21no—
288C2×C4⋊Dic61C2311yescharacteristic
289C2×C4⋊Dic61C2311yescharacteristic
290C4⋊C4×D61—21no—
291C4⋊C4×D61—21no—
292C4⋊C4×D61—21no—
293C4⋊C4×D61—21no—
294C42×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#14519701C2311yescharacteristic
336#14519701C2311yescharacteristic
337#14519701C2311yescharacteristic
338#14519701C2311yescharacteristic
339#14519701C2311yescharacteristic
340#14519701C2311yescharacteristic
341#14519701C2311yescharacteristic
342#14519701C2311yescharacteristic
343#14519700C2311yescharacteristic
344#14519700C2311yescharacteristic
345#14519700C2311yescharacteristic
346#14519700C2311yescharacteristic
347#14519698C2311yescharacteristic
348#14519698C2311yescharacteristic
349#14519698C2311yescharacteristic
350#14519698C2311yescharacteristic
351#14519698C2311yescharacteristic
352#14519698C2311yescharacteristic
353#14519698C2311yescharacteristic
354#14519698C2311yescharacteristic
355#14519698C2311yescharacteristic
356#14519698C2311yescharacteristic
357#14519698C2311yescharacteristic
358#14519698C2311yescharacteristic
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
379C4⋊Q8×C61—21no—
380C4⋊Q8×C61—21no—
381C4⋊Q8×C61D411yescharacteristic
382C4⋊Q8×C61D411yescharacteristic
383C4⋊Q8×C61C2311yescharacteristic
384C4⋊Q8×C61C2311yescharacteristic
385C4⋊Q8×C61C2311yescharacteristic
386#127×C61C2311yescharacteristic
387#126×C61—21no—
388#126×C61—21no—
389#126×C61—21no—
390#126×C61—21no—
391#126×C61—21no—
392#126×C61—21no—
393#126×C61—21no—
394#126×C61—21no—
395#126×C61—21no—
396#126×C61—21no—
397#125×C61—21no—
398#125×C61—21no—
399#125×C61—21no—
400#125×C61—21no—
401#125×C61—21no—
402#125×C61—21no—
403#125×C61D411yescharacteristic
404#125×C61D411yescharacteristic
405#125×C61C2311yescharacteristic
406#125×C61C2311yescharacteristic
407#125×C61C2311yescharacteristic
408#125×C61C2311yescharacteristic
409#124×C61—21no—
410#124×C61—21no—
411#124×C61—21no—
412#124×C61—21no—
413#124×C61C2311yescharacteristic
414#124×C61C2311yescharacteristic
415#124×C61C2311yescharacteristic
416#124×C61C2311yescharacteristic
417#123×C61—21no—
418#123×C61—21no—
419#123×C61—21no—
420#123×C61—21no—
421#123×C61—21no—
422#123×C61—21no—
423#123×C61—21no—
424#123×C61—21no—
425#123×C61—21no—
426#123×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×C61—21no—
434C22⋊Q8×C61—21no—
435C22⋊Q8×C61—21no—
436C22⋊Q8×C61—21no—
437C22⋊Q8×C61D411yescharacteristic
438C22⋊Q8×C61D411yescharacteristic
439C22⋊Q8×C61D411yescharacteristic
440C22⋊Q8×C61D411yescharacteristic
441C22⋊Q8×C61C2311yescharacteristic
442C22⋊Q8×C61C2311yescharacteristic
443#121×C61—21no—
444#121×C61—21no—
445#121×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61—21no—
460C4×D4×C61—21no—
461C4×D4×C61—21no—
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469#117×C61—21no—
470#117×C61—21no—
471#117×C61—21no—
472#117×C61—21no—
473#117×C61C2311yescharacteristic
474#117×C61C2311yescharacteristic
475C2×C4⋊C4×C61—21no—
476C2×C4⋊C4×C61—21no—
477C2×C42×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2×D411yescharacteristic
481C2×Q8×C61C2×D411yescharacteristic
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2×D411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61C2411yescharacteristic
491C2×D4×C61C2411yescharacteristic
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61C2×D411yescharacteristic
499C22×C4×C61C2×D411yescharacteristic
500C22×C4×C61C2411yescharacteristic
501C2×C22⋊D61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504Q8×D61—82no—
505Q8×D61—82no—
506#11758222—22no—
507#11758222—22no—
508C2×D244C2411yescharacteristic
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—82no—
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×C61C2×D411yescharacteristic
547C4⋊C4×C61C2×D411yescharacteristic
548C4⋊C4×C61C2×D411yescharacteristic
549C4⋊C4×C61C2×D411yescharacteristic
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×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×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×C61—21no—
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C22⋊C4×C61C2×D411yescharacteristic
587C22⋊C4×C61C2×D411yescharacteristic
588C42×C61—21no—
589C42×C61—21no—
590C42×C61—21no—
591C42×C61—21no—
592C42×C61—21no—
593C42×C61—21no—
594C42×C61C2×D411yescharacteristic
595C42×C61C2×D411yescharacteristic
596C42×C61C2411yescharacteristic
597C42×C61C2411yescharacteristic
598C42×C61C2411yescharacteristic
599C42×C61C2411yescharacteristic
600C42×C61C2411yescharacteristic
601C42×C61C2411yescharacteristic
602C22⋊Dic61—21no—
603#11758202—22no—
604#11758202—22no—
605#11758201—22no—
606#11758201—22no—
607#11758200—22no—
608#11758200—22no—
609#11758199—22no—
610#11758199—22no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
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—
647C4×Dic61—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×C61—21no—
664C23×C61C22×D411yescharacteristic
665C22×D61—21no—
666Q8×C61—21no—
667Q8×C61—21no—
668Q8×C61—21no—
669Q8×C61—21no—
670Q8×C61—41no—
671Q8×C61—41no—
672Q8×C61—41no—
673Q8×C61—41no—
674Q8×C61—81no—
675Q8×C61—81no—
676D4×C61—21no—
677D4×C61—21no—
678D4×C61—21no—
679D4×C61—21no—
680D4×C61—81no—
681D4×C61—81no—
682D4×C61—81no—
683D4×C61—81no—
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—41no—
693C2×C4×C61—41no—
694C2×C4×C61—81no—
695C2×C4×C61—81no—
696C2×C4×C61—81no—
697C2×C4×C61—81no—
698C2×C4×C61—81no—
699C2×C4×C61—81no—
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
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×C61C2511yescharacteristic
714C22⋊D61—24no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—81no—
723C2×Dic61—81no—
724D244—21no—
725D2442−1+412yes—
726C4×D61—24no—
727C4×D61—42no—
728C4×D61—42no—
729C4×D61—81no—
730C4×D61—81no—
731C4×D61—81no—
732C4×D61—81no—
733Dic122—21no—
734Dic122—42no—
735Dic122—42no—
736Dic122—81no—
737Dic122—81no—
738Dic122—81no—
739Dic122—81no—
740Dic122—81no—
741Dic122—81no—
742Dic1222−1+412yes—
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—41no—
756C22×C61—41no—
757C22×C61—41no—
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61C23×D411yescharacteristic
762C2×D61—22no—
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—41no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61C2×2−1+411yescharacteristic
785C4×C61C2×2−1+411yescharacteristic
786Dic61—22no—
787Dic61—41no—
788Dic61—41no—
789Dic61—41no—
790Dic61—41no—
791Dic61—41no—
792Dic61—41no—
793#3557D6111yescharacteristic, complemented
794#3503—611no—
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—81no—
826C2×C61—81no—
827C2×C61#348611yescharacteristic
828C2×C61#358511yescharacteristic
829C2×C61#358611yescharacteristic
830D61—42no—
831#563—21no—
832#563—21no—
833#559C2×D6111yescharacteristic
834#559C2×D6111yescharacteristic
835Q82—611no—
836Q82—611no—
837#557—611no—
838#557—611no—
839#557C2×D6111yescharacteristic
840#557C2×D6111yescharacteristic
841#556C2×D6111yescharacteristic
842#556C2×D6111yescharacteristic
843#554—611no—
844#554—611no—
845#554—1221no—
846#554—1221no—
847#554C2×D6111yescharacteristic
848#554C2×D6111yescharacteristic
849#552—21no—
850#552—21no—
851D4×Q8—611no—
852D4×Q8—611no—
853D4×Q8—1221no—
854D4×Q8—1221no—
855#544—611no—
856#544—611no—
857#544—1221no—
858#544—1221no—
859#542—21no—
860#542—21no—
861#542C2×D6111yescharacteristic
862#542C2×D6111yescharacteristic
863#541C2×D6111yescharacteristic
864#540C2×D6111yescharacteristic
865#539—21no—
866#539—21no—
867#533—1221no—
868#533C2×D6111yescharacteristic
869C2×C4⋊Q8—611no—
870C2×C4⋊Q8—1221no—
871#529C2×D6111yescharacteristic
872#529C2×D6111yescharacteristic
873#520—611no—
874#520—611no—
875C4×#41—611no—
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×#41—611no—
1004C22×Q8—1221no—
1005C22×Q8—1221no—
1006C22×Q8—1221no—
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—611no—
1018C4⋊Q8—611no—
1019C4⋊Q8—611no—
1020C4⋊Q8—611no—
1021C4⋊Q8—611no—
1022C4⋊Q8—611no—
1023C4⋊Q8—611no—
1024C4⋊Q8—611no—
1025C4⋊Q8—1221no—
1026C4⋊Q8—1221no—
1027C4⋊Q8—1221no—
1028C4⋊Q8—1221no—
1029C4⋊Q8—1221no—
1030C4⋊Q8—1221no—
1031C4⋊Q8—1221no—
1032C4⋊Q8—1221no—
1033C4⋊Q8—1221no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8C22⋊D6111yescharacteristic
1038C4⋊Q8C22⋊D6111yescharacteristic
1039C4⋊Q8C22×D6111yescharacteristic
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042#127C22×D6111yescharacteristic
1043#126—21no—
1044#126—21no—
1045#126—21no—
1046#126—21no—
1047#126—21no—
1048#126—21no—
1049#126—21no—
1050#126—21no—
1051#126—21no—
1052#126—21no—
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—21no—
1076#124—21no—
1077#124—21no—
1078#124—21no—
1079#124C22×D6111yescharacteristic
1080#124C22×D6111yescharacteristic
1081#124C22×D6111yescharacteristic
1082#124C22×D6111yescharacteristic
1083#123—21no—
1084#123—21no—
1085#123—21no—
1086#123—21no—
1087#123—21no—
1088#123—21no—
1089#123—21no—
1090#123—21no—
1091#123—21no—
1092#123—21no—
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—1221no—
1104C22⋊Q8—1221no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
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⋊Q8C22⋊D6111yescharacteristic
1120C22⋊Q8C22⋊D6111yescharacteristic
1121C22⋊Q8C22⋊D6111yescharacteristic
1122C22⋊Q8C22⋊D6111yescharacteristic
1123C22⋊Q8C22×D6111yescharacteristic
1124C22⋊Q8C22×D6111yescharacteristic
1125#121—21no—
1126#121—21no—
1127#121C22×D6111yescharacteristic
1128#121C22×D6111yescharacteristic
1129C4×Q8—21no—
1130C4×Q8—21no—
1131C4×Q8—611no—
1132C4×Q8—611no—
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—1221no—
1138C4×Q8—1221no—
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—611no—
1156C4×D4—611no—
1157C4×D4—611no—
1158C4×D4—611no—
1159C4×D4—611no—
1160C4×D4—611no—
1161C4×D4—1221no—
1162C4×D4—1221no—
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—21no—
1177#117—611no—
1178#117—1221no—
1179#117—1221no—
1180#117—1221no—
1181#117C22×D6111yescharacteristic
1182#117C22×D6111yescharacteristic
1183C2×C4⋊C4—21no—
1184C2×C4⋊C4—21no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—1221no—
1188C2×C4⋊C4—1221no—
1189C2×C4⋊C4—1221no—
1190C2×C4⋊C4—1221no—
1191C2×C4⋊C4—1221no—
1192C2×C42—1221no—
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—1222no—
1279#41—1222no—
1280C2×Q8—21no—
1281C2×Q8—21no—
1282C2×Q8—611no—
1283C2×Q8—1221no—
1284C2×Q8—1221no—
1285C2×Q8—1221no—
1286C2×Q8—1221no—
1287C2×Q8—1221no—
1288C2×Q8—1221no—
1289C2×Q8—1221no—
1290C2×Q8—1221no—
1291C2×Q8—4882no—
1292C2×Q8—4882no—
1293C2×Q8—4882no—
1294C2×Q8C2×C22⋊D6111yescharacteristic
1295C2×Q8C2×C22⋊D6111yescharacteristic
1296C2×Q8C2×C22⋊D6111yescharacteristic
1297C2×Q8C2×C22⋊D6111yescharacteristic
1298C2×Q8C23×D6111yescharacteristic
1299C2×Q8C23×D6111yescharacteristic
1300C2×D4—21no—
1301C2×D4—21no—
1302C2×D4—21no—
1303C2×D4—21no—
1304C2×D4—611no—
1305C2×D4—1221no—
1306C2×D4C23×D6111yescharacteristic
1307C2×D4C23×D6111yescharacteristic
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—1221no—
1315C22×C4—1221no—
1316C22×C4—1221no—
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—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—1221no—
1369C4⋊C4—1221no—
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⋊C4—1221no—
1391C4⋊C4—1221no—
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⋊C4C2×C22⋊D6111yescharacteristic
1407C4⋊C4C2×C22⋊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—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
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—1221no—
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—21no—
1464C23—1221no—
1465C23C22×C22⋊D6111yescharacteristic
1466Q8—21no—
1467Q8—21no—
1468Q8—21no—
1469Q8—21no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—81no—
1475Q8—81no—
1476Q8—612no—
1477Q8—1221no—
1478Q8—4881no—
1479Q8—4881no—
1480Q8—4881no—
1481Q8—4881no—
1482Q8—4881no—
1483Q8—4881no—
1484Q8—2442no—
1485Q8—2442no—
1486D4—21no—
1487D4—21no—
1488D4—21no—
1489D4—21no—
1490D4—81no—
1491D4—81no—
1492D4—81no—
1493D4—81no—
1494D4—612no—
1495D4—1224no—
1496D4—1221no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—81no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—1224no—
1514C2×C4—1221no—
1515C2×C4—1221no—
1516C2×C4—1221no—
1517C2×C4—1221no—
1518C2×C4—1221no—
1519C2×C4—1221no—
1520C2×C4—1221no—
1521C2×C4—4881no—
1522C2×C4—4881no—
1523C2×C4—4881no—
1524C2×C4—4881no—
1525C2×C4—4881no—
1526C2×C4—4881no—
1527C2×C4—2442no—
1528C2×C4—2442no—
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—21no—
1553C22—21no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—1222no—
1561C22—2441no—
1562C22—2441no—
1563C22C23×C22⋊D6111yescharacteristic
1564C4—21no—
1565C4—21no—
1566C4—21no—
1567C4—21no—
1568C4—21no—
1569C4—21no—
1570C4—21no—
1571C4—21no—
1572C4—21no—
1573C4—21no—
1574C4—21no—
1575C4—21no—
1576C4—21no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—1222no—
1584C4—2441no—
1585C4—2441no—
1586C4—2441no—
1587C4—2441no—
1588C4—2441no—
1589C4—2441no—
1590C42−1+4×D6111yescharacteristic
1591C42−1+4×D6111yescharacteristic
1592C2—41no—
1593C2—81no—
1594C2—81no—
1595C2—2442no—
1596C2#2145946711yescharacteristic
1597C2#2146059811yescharacteristic
1598C2#2146060511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3557C2
socleC22×C61C23×D4
prime radical#21456012C2
hypercenter#3557D61
hypocenterC61#61879
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #533 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #21459631C2semidirect
2. #21458782C2semidirect
3. #21458773C2semidirect
4. #21458764C2semidirect
5. #21458758C2semidirect
6. #21458751C2semidirect
7. #21458736C2semidirect
8. #21458729C2semidirect
9. #21458718C2semidirect
10. #21458655C2semidirect
11. #21458640C2semidirect
12. #21458629C2semidirect
13. #21458607C2semidirect
14. #21458581C2semidirect
15. #21458566C2semidirect
16. #21458555C2semidirect
17. #21458533C2semidirect
18. #21457111C2semidirect
19. #21457096C2semidirect
20. #21457081C2semidirect
21. #21457066C2semidirect
22. #21457046C2semidirect
23. #21457037C2semidirect
24. #21456090C2semidirect
25. #21456075C2semidirect
26. #21456027C2semidirect
28. #21455922C2semidirect
29. #21455922C2semidirect
30. #21454925C2semidirect
31. C61×#3557C2semidirect
793. #3557D61semidirect
1002. C61#61879semidirect

Maximal subgroups

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

subgroupindex
#214596312
#214587822
#214587732
#214587642
#214587582
#214587512
#214587362
#214587292
#214587182
#214586552
#214586402
#214586292
#214586072
#214585812
#214585662
#214585552
#214585332
#214571112
#214570962
#214570812
#214570662
#214570462
#214570372
#214560902
#214560752
#214560272
#214560122
#214559222
#214549252
C61×#35572
#6187961