Finite Group Databasebeta

← #30575758

Subgroups — #30575758

Order 15616.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459633C211yesmaximal, characteristic, complemented
2#21459384C211yesmaximal, characteristic
3#21458732C211yesmaximal, characteristic, complemented
4#21458726C211yesmaximal, characteristic, complemented
5#21458562C211yesmaximal, characteristic, complemented
6#21458560C211yesmaximal, characteristic, complemented
7#21458443C211yesmaximal, characteristic, complemented
8#21458441C211yesmaximal, characteristic, complemented
9#21458278C211yesmaximal, characteristic, complemented
10#21458274C211yesmaximal, characteristic, complemented
11#21458270C211yesmaximal, characteristic, complemented
12#21458133C211yesmaximal, characteristic, complemented
13#21458130C211yesmaximal, characteristic, complemented
14#21457906C211yesmaximal, characteristic, complemented
15#21457902C211yesmaximal, characteristic, complemented
16#21457898C211yesmaximal, characteristic, complemented
17#21457894C211yesmaximal, characteristic, complemented
18#21457191C211yesmaximal, characteristic, complemented
19#21457187C211yesmaximal, characteristic, complemented
20#21457160C211yesmaximal, characteristic, complemented
21#21457043C211yesmaximal, characteristic, complemented
22#21457041C211yesmaximal, characteristic, complemented
23#21456968C211yesmaximal, characteristic, complemented
24#21455979C211yesmaximal, characteristic, complemented
25#21455976C211yesmaximal, characteristic, complemented
26#21455824C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28#21455629C211yesmaximal, characteristic, complemented
29C2×#16840051C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3344C211yesmaximal, characteristic, complemented
32Q8×Dic122C2211yescharacteristic, complemented
33#16840492C2211yescharacteristic, complemented
34#16840489—21no—
35#16840484C2211yescharacteristic
36#16840475C2211yescharacteristic
37#16840470C2211yescharacteristic
38#16840470C2211yescharacteristic, complemented
39#16840469C2211yescharacteristic
40#16840468C2211yescharacteristic
41#16840467C2211yescharacteristic
42#16840467C2211yescharacteristic, complemented
43#16840463—21no—
44#16840447C2211yescharacteristic
45#16840444—21no—
46#16840436—21no—
47#16840435—21no—
48D4×Dic122—21no—
49#16840425—21no—
50#16840425—21no—
51#16840414C2211yescharacteristic
52#16840408C2211yescharacteristic
53#16840403C2211yescharacteristic
54#16840392—21no—
55#16840391—21no—
56#16840391—21no—
57#16840316C2211yescharacteristic, complemented
58#16840314C2211yescharacteristic
59#16840314C2211yescharacteristic
60#16840314C2211yescharacteristic, complemented
61C2×#14519776C2211yescharacteristic
62C2×#14519776C2211yescharacteristic, complemented
63C4⋊Q8×D61C2211yescharacteristic, complemented
64#16840298C2211yescharacteristic
65#16840297—21no—
66#16840297C2211yescharacteristic
67#16840295—21no—
68#16840270—21no—
69#16840241—21no—
70C4×#11758226C2211yescharacteristic
71#16840230C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×#14519739C2211yescharacteristic
74#117×D61—21no—
75#16840172C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840169C2211yescharacteristic, complemented
78#16840166C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic
81#16840123C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840122C2211yescharacteristic
84#16840111C2211yescharacteristic, complemented
85#16840111C2211yescharacteristic, complemented
86#16840106C2211yescharacteristic, complemented
87#16840103C2211yescharacteristic, complemented
88#16840102C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic
90#16840097C2211yescharacteristic
91#16840095C2211yescharacteristic
92#16840094C2211yescharacteristic, complemented
93#16840094C2211yescharacteristic, complemented
94#16840092C2211yescharacteristic
95#16840090C2211yescharacteristic, complemented
96#16840077C2211yescharacteristic
97#16840077C2211yescharacteristic
98#16840076C2211yescharacteristic
99#16840075C2211yescharacteristic
100#16840072C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840066C2211yescharacteristic, complemented
103#16840056C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840056C2211yescharacteristic, complemented
106#16840056C2211yescharacteristic, complemented
107#16840055C2211yescharacteristic, complemented
108#16840055C2211yescharacteristic, complemented
109#16840055C2211yescharacteristic, complemented
110#16840055C2211yescharacteristic, complemented
111#16840051C2211yescharacteristic
112#16840051C2211yescharacteristic
113#16840051C2211yescharacteristic
114#16840051C2211yescharacteristic
115#16840051C2211yescharacteristic
116#16840051C2211yescharacteristic
117#16840051C2211yescharacteristic
118#16840051C2211yescharacteristic
119#16840051C2211yescharacteristic
120#16840051C2211yescharacteristic
121#16840047C2211yescharacteristic, complemented
122#16840046C2211yescharacteristic, complemented
123#16840046C2211yescharacteristic, complemented
124#16840043C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840039C2211yescharacteristic
128#16840021C2211yescharacteristic, complemented
129#16840019C2211yescharacteristic, complemented
130#16840018C2211yescharacteristic, complemented
131#16840011C2211yescharacteristic
132#16840010C2211yescharacteristic
133#16840009C2211yescharacteristic
134#16840008C2211yescharacteristic
135#16840003C2211yescharacteristic
136#16840001C2211yescharacteristic
137#16840001C2211yescharacteristic
138#16839987C2211yescharacteristic
139#16839986C2211yescharacteristic
140#16839985C2211yescharacteristic
141#16839984C2211yescharacteristic
142#16839971C2211yescharacteristic, complemented
143#16839971C2211yescharacteristic, complemented
144#16839970C2211yescharacteristic, complemented
145#16839970C2211yescharacteristic, complemented
146#16839966C2211yescharacteristic
147#16839966C2211yescharacteristic
148#16839927C2211yescharacteristic
149#16839926C2211yescharacteristic
150#16839923C2211yescharacteristic
151#16839922C2211yescharacteristic
152#16839915C2211yescharacteristic
153#16839912C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839868C2211yescharacteristic, complemented
157#16839867C2211yescharacteristic, complemented
158#16839866C2211yescharacteristic, complemented
159#16839865C2211yescharacteristic
160#16839864C2211yescharacteristic
161#16839861C2211yescharacteristic
162#16839860C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic
165#16839847C2211yescharacteristic
166#16839847C2211yescharacteristic
167#16839838C2211yescharacteristic, complemented
168#16839837C2211yescharacteristic, complemented
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic
175#16839805C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839801C2211yescharacteristic, complemented
178C2×#14519708C2211yescharacteristic
179#16839785C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839762C2211yescharacteristic
184#16839762C2211yescharacteristic
185#16839761C2211yescharacteristic
186C2×#14519699C2211yescharacteristic
187C2×#14519697C2211yescharacteristic
188C61×#554C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic
193C61×#483C2211yescharacteristic
194C61×#483C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#475C2211yescharacteristic, complemented
197C61×#470C2211yescharacteristic, complemented
198C61×#467C2211yescharacteristic
199C61×#441C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic
201C61×#428C2211yescharacteristic, complemented
202C2×#106×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224D411yescharacteristic
206C22×Dic122—21no—
207C22×Dic122—21no—
208C2×Q8×D61—21no—
209C22×D244C2311yescharacteristic
210C22×C4×D61—21no—
211C2×Dic244C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758194C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C22×#92418C2311yescharacteristic
222#14519777—21no—
223#14519777C2311yescharacteristic
224#14519776—21no—
225#14519776—21no—
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776—21no—
231#14519776—21no—
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519776C2311yescharacteristic
235#14519776C2311yescharacteristic
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519775—21no—
241#14519775—21no—
242#14519775—21no—
243#14519775C2311yescharacteristic
244#14519775C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519771—21no—
250#14519768—21no—
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519766C2311yescharacteristic
262#14519765—21no—
263#14519765C2311yescharacteristic
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519761—21no—
270#14519760—21no—
271#14519759—21no—
272#14519757—21no—
273#14519757—21no—
274#14519757—21no—
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756—21no—
279#14519756C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519753C2311yescharacteristic
296#14519752—21no—
297#14519752C2311yescharacteristic
298#14519751C2311yescharacteristic
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519747—21no—
303#14519745—21no—
304Q8×Dic61C2311yescharacteristic
305Q8×Dic61C2311yescharacteristic
306Q8×Dic61C2311yescharacteristic
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122C2311yescharacteristic
310C4×Dic122C2311yescharacteristic
311#14519742—21no—
312#14519742—21no—
313#14519742—21no—
314#14519742—21no—
315#14519742D411yescharacteristic
316#14519742C2311yescharacteristic
317#14519742C2311yescharacteristic
318#14519742C2311yescharacteristic
319#14519742C2311yescharacteristic
320C4×D244—21no—
321C4×D244C2311yescharacteristic
322D4×Dic61—21no—
323D4×Dic61D411yescharacteristic
324#14519739—21no—
325#14519739—21no—
326#14519739—21no—
327#14519739—21no—
328#14519739C2311yescharacteristic
329#14519739C2311yescharacteristic
330#14519739C2311yescharacteristic
331#14519739C2311yescharacteristic
332#14519739C2311yescharacteristic
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61C2311yescharacteristic
336C4×C22⋊D61C2311yescharacteristic
337#14519737—21no—
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737D411yescharacteristic
343#14519737D411yescharacteristic
344#14519736—21no—
345#14519735—21no—
346#14519735—21no—
347#14519735—21no—
348#14519735D411yescharacteristic
349#14519735C2311yescharacteristic
350#14519734—21no—
351#14519734—21no—
352#14519734—21no—
353#14519734—21no—
354#14519733—21no—
355#14519733—21no—
356#14519733—21no—
357#14519733D411yescharacteristic
358#14519733D411yescharacteristic
359C2×C4⋊Dic61C2311yescharacteristic
360C2×C4⋊Dic61C2311yescharacteristic
361C2×#11758196—21no—
362C2×#11758196—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C2×#11758198—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61—21no—
374C42×D61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391C4⋊#92418C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C4⋊Q8×C61C2311yescharacteristic
439#126×C61—21no—
440#125×C61—21no—
441#125×C61—21no—
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61—21no—
446C22⋊Q8×C61C2311yescharacteristic
447C22⋊Q8×C61C2311yescharacteristic
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450C4×Q8×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454#117×C61—21no—
455#117×C61C2311yescharacteristic
456C2×C4⋊C4×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61C2×D411yescharacteristic
483C22×C4×C61—21no—
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61C2411yescharacteristic
487C22×C4×C61C2411yescharacteristic
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61C2×D411yescharacteristic
491C2×C22⋊D61C2×D411yescharacteristic
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61C2×D411yescharacteristic
495C22×Dic61C2×D411yescharacteristic
496C22×Dic61C2×D411yescharacteristic
497C22×Dic61C2×D411yescharacteristic
498#11758226—22no—
499#11758226—41no—
500Q8×D61—82no—
501#11758224—24no—
502#11758222—22no—
503#11758222—41no—
504C2×D244—22no—
505C2×D244—21no—
506C2×D244—21no—
507C2×D244—21no—
508C2×D244—41no—
509C2×D244C2411yescharacteristic
510C2×D244C2411yescharacteristic
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—21no—
515C2×C4×D61—21no—
516C2×C4×D61—21no—
517C2×C4×D61—21no—
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—44no—
522C2×C4×D61C2×D411yescharacteristic
523C2×C4×D61C2×D411yescharacteristic
524C2×C4×D61C2411yescharacteristic
525C2×Dic122—21no—
526C2×Dic122—21no—
527C2×Dic122—21no—
528C2×Dic122—21no—
529C2×Dic122—21no—
530C2×Dic122—21no—
531C2×Dic122—21no—
532C2×Dic122—21no—
533C2×Dic122—21no—
534C2×Dic122—82no—
535C2×Dic122—82no—
536C2×Dic122C2×D411yescharacteristic
537C2×Dic122C2411yescharacteristic
538C2×Dic122C2411yescharacteristic
539Q16×C61—41no—
540M16×C61—41no—
541C2×C8×C61—41no—
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C42×C61—21no—
573C42×C61—21no—
574C42×C61—21no—
575C42×C61C2411yescharacteristic
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61C2×D411yescharacteristic
580C22⋊Dic61C2×D411yescharacteristic
581#11758202—41no—
582#11758202—41no—
583#11758201—22no—
584#11758201—41no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198C2×D411yescharacteristic
602#11758198C2×D411yescharacteristic
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61C2×D411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616C4⋊Dic61C2411yescharacteristic
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
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#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61C2×D411yescharacteristic
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C4×Dic61C2411yescharacteristic
662C4×Dic61C2411yescharacteristic
663#11758194—41no—
664C2×#92418—41no—
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669Dic244—41no—
670#11758190—22no—
671#11758190—41no—
672#11758189—41no—
673#11758189—41no—
674C23×C61C22×D411yescharacteristic
675C23×C61C22×D411yescharacteristic
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—42no—
679C22×D61—42no—
680C22×D61—81no—
681C22×D61C22×D411yescharacteristic
682Q8×C61—21no—
683Q8×C61—21no—
684Q8×C61—21no—
685Q8×C61—21no—
686Q8×C61—81no—
687D4×C61—22no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—42no—
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×C61C2511yescharacteristic
708C22⋊D61—22no—
709C22⋊D61—22no—
710C22⋊D61—42no—
711C22⋊D61—81no—
712C2×Dic61—22no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—41no—
720C2×Dic61—41no—
721C2×Dic61—81no—
722C2×Dic61—81no—
723C2×Dic61#13714yes—
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731D244—21no—
732D244—21no—
733D244—21no—
734D244—42no—
735D244—42no—
736D244—81no—
737D2442−1+412yes—
738C4×D61—21no—
739C4×D61—21no—
740C4×D61—22no—
741C4×D61—41no—
742C4×D61—42no—
743C4×D61—42no—
744C4×D61—42no—
745C4×D61—42no—
746C4×D61—42no—
747C4×D61—42no—
748C4×D61—81no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752Dic122—22no—
753Dic122—21no—
754Dic122—21no—
755Dic122—21no—
756Dic122—21no—
757Dic122—42no—
758Dic122—42no—
759Dic122—42no—
760Dic122—81no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic122—81no—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770#92418—21no—
771#92418—21no—
772#92418—21no—
773#92418—21no—
774#62108—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61C2×#13712yes—
781C22×C61C23×D411yescharacteristic
782C2×D61—21no—
783C2×D61—21no—
784C2×D61—22no—
785C2×D61—21no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—84no—
792C4×C61—21no—
793C4×C61—21no—
794C4×C61—21no—
795C4×C61—21no—
796C4×C61—41no—
797C4×C61—41no—
798C4×C61—41no—
799C4×C61—41no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61C2×2−1+411yescharacteristic
805C4×C61#58511yescharacteristic
806Dic61—21no—
807Dic61—21no—
808Dic61—21no—
809Dic61—21no—
810Dic61—21no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61C2×#13712yes—
818Dic61C2×#13712yes—
819#3503—611no—
820#3475—611no—
821#3385—611no—
822#3385—611no—
823#3369—611no—
824#3369—611no—
825#3357—611no—
826#3357—611no—
827#3344—611no—
828#3344—611no—
829#3344—611no—
830#3344D6111yescharacteristic, complemented
831#3331—611no—
832#3331—611no—
833#3314—611no—
834#3314—611no—
835#3314—611no—
836#3314—611no—
837#3252—611no—
838#3252—611no—
839#3249—611no—
840#3238—611no—
841#3238—611no—
842#3230—611no—
843#3116—611no—
844#3116—611no—
845#3101—611no—
846#3079—611no—
847#3079—611no—
848C2×#476—611no—
849#2989—611no—
850C2×C61—22no—
851C2×C61—41no—
852C2×C61#348911yescharacteristic
853C2×C61C22×#13711yescharacteristic
854C2×C61#358511yescharacteristic
855D61—41no—
856D61—42no—
857D61—81no—
858Q82—611no—
859Q82—611no—
860#557—1221no—
861#556—611no—
862#555—611no—
863#554—611no—
864#554—611no—
865#554—611no—
866#554—611no—
867#554—611no—
868#554—611no—
869#554C2×D6111yescharacteristic
870#553—1221no—
871#552—611no—
872#552—1221no—
873#552C2×D6111yescharacteristic
874#551—1221no—
875#551—1221no—
876D4×Q8—1221no—
877D4×Q8—1221no—
878D4×Q8—1221no—
879#547—611no—
880#546—611no—
881#546—611no—
882#544—1221no—
883#544—1221no—
884#544—1221no—
885#533—611no—
886#533—611no—
887#533—611no—
888#533—611no—
889C2×C4⋊Q8—611no—
890C2×C4⋊Q8—611no—
891C2×C4⋊Q8—611no—
892#529—611no—
893#529—611no—
894#529—1221no—
895#529—1221no—
896#525—1221no—
897#520—1221no—
898C4×#41—611no—
899C4×#41—611no—
900C4×#41—611no—
901C2×C4×D4—611no—
902C2×#117—1221no—
903#501—611no—
904#501—611no—
905#501—611no—
906#501C2×D6111yescharacteristic, complemented
907#500—611no—
908#500—611no—
909#489—611no—
910#489—611no—
911#489—611no—
912#489—611no—
913#487—611no—
914#487—611no—
915#485—611no—
916#485—611no—
917#485—611no—
918#485C2×D6111yescharacteristic, complemented
919#484—611no—
920#484—611no—
921#484—611no—
922#484C2×D6111yescharacteristic
923#483—611no—
924#483—611no—
925#483—611no—
926#483—611no—
927#483C2×D6111yescharacteristic
928#483C2×D6111yescharacteristic, complemented
929#480—611no—
930#480—611no—
931#480—611no—
932#480—611no—
933#479—611no—
934#479—611no—
935#479—611no—
936#479C2×D6111yescharacteristic, complemented
937#477—611no—
938#477—611no—
939#477—611no—
940#477—611no—
941#477—611no—
942#477—611no—
943#477—611no—
944#477—611no—
945#476—611no—
946#476—611no—
947#476—611no—
948#476—611no—
949#476—611no—
950#476—611no—
951#476—611no—
952#476—611no—
953#476—611no—
954#476—611no—
955#475—611no—
956#475—611no—
957#475—611no—
958#475C2×D6111yescharacteristic, complemented
959#474—611no—
960#474—611no—
961#474—611no—
962#474—611no—
963#470—611no—
964#470—611no—
965#470—611no—
966#470C2×D6111yescharacteristic, complemented
967#468—611no—
968#468—611no—
969#468—611no—
970#468—611no—
971#467—611no—
972#467—611no—
973#467—611no—
974#467C2×D6111yescharacteristic
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#462—611no—
980#462—611no—
981#462—611no—
982#462—611no—
983#461—611no—
984#461—611no—
985#452—611no—
986#452—611no—
987#452—611no—
988#452—611no—
989#450—611no—
990#450—611no—
991#446—611no—
992#446—611no—
993#441—611no—
994#441—611no—
995#441—611no—
996#441C2×D6111yescharacteristic, complemented
997#440—611no—
998#440—611no—
999#440—611no—
1000#440—611no—
1001C4×SD16—611no—
1002C4×SD16—611no—
1003C4×SD16—611no—
1004C4×SD16—611no—
1005#436—611no—
1006#436—611no—
1007#435—611no—
1008#435—611no—
1009#435—611no—
1010#435C2×D6111yescharacteristic
1011#432—611no—
1012#432—611no—
1013#431—611no—
1014#428—611no—
1015#428—611no—
1016#428—611no—
1017#428C2×D6111yescharacteristic, complemented
1018C2×#106—611no—
1019C2×#106C2×D6111yescharacteristic
1020#423—611no—
1021#423—611no—
1022C2×C4⋊C8—611no—
1023#417—611no—
1024#417—611no—
1025#417—611no—
1026#417—611no—
1027C2×#102—611no—
1028C2×#102—611no—
1029C61#6210811yescharacteristic, complemented, Sylow
1030C2×#41—611no—
1031C2×#41—611no—
1032C2×#41—611no—
1033C22×Q8—1221no—
1034C22×Q8—1221no—
1035C22×Q8—1221no—
1036C22×D4—611no—
1037C23×C4—1221no—
1038C2×Q16—611no—
1039C2×Q16—611no—
1040C2×Q16—611no—
1041C2×Q16C22×D6111yescharacteristic
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×M16—611no—
1047C2×M16—611no—
1048C2×M16—611no—
1049C2×M16C22×D6111yescharacteristic
1050C22×C8—611no—
1051C22×C8C22×D6111yescharacteristic
1052C4⋊Q8—611no—
1053C4⋊Q8—611no—
1054C4⋊Q8—611no—
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—611no—
1061C4⋊Q8—611no—
1062C4⋊Q8—611no—
1063C4⋊Q8—1221no—
1064C4⋊Q8—1221no—
1065C4⋊Q8—1221no—
1066C4⋊Q8—1221no—
1067C4⋊Q8—1221no—
1068C4⋊Q8—1221no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8—1221no—
1075C4⋊Q8C22×D6111yescharacteristic
1076#126—21no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#125—21no—
1083#125—21no—
1084#125—611no—
1085#125—1221no—
1086#125—1221no—
1087#125—1221no—
1088#125—1221no—
1089#125—1221no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125C22×D6111yescharacteristic
1096#124—611no—
1097#124—611no—
1098#124—1221no—
1099#124—1221no—
1100#123—21no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108C22⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8C22×D6111yescharacteristic
1135C22⋊Q8C22×D6111yescharacteristic
1136C22⋊Q8C22×D6111yescharacteristic
1137C22⋊Q8C22×D6111yescharacteristic
1138#121—611no—
1139#121—611no—
1140#121—1221no—
1141#121—1221no—
1142#121—1221no—
1143#121—1221no—
1144#120—1221no—
1145#120—1221no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—611no—
1154C4×Q8—611no—
1155C4×Q8—611no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8C22×D6111yescharacteristic
1163C4×Q8C22×D6111yescharacteristic
1164C4×D4—21no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4—1221no—
1182C4×D4—1221no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4C22×D6111yescharacteristic
1190#117—21no—
1191#117—611no—
1192#117—611no—
1193#117—611no—
1194#117—611no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117—1221no—
1205#117—1221no—
1206#117C22×D6111yescharacteristic
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—611no—
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—1221no—
1212C2×C4⋊C4—1221no—
1213C2×C4⋊C4—1221no—
1214C2×C4⋊C4—1221no—
1215C2×C4⋊C4—1221no—
1216C2×C4⋊C4C22×D6111yescharacteristic
1217C2×C4⋊C4C22×D6111yescharacteristic
1218C2×C4⋊C4C22×D6111yescharacteristic
1219C2×C22⋊C4—1221no—
1220C2×C22⋊C4—1221no—
1221C2×C22⋊C4—1221no—
1222C2×C42—611no—
1223C2×C42—611no—
1224C2×C42—611no—
1225C2×C42—1221no—
1226C2×C42—1221no—
1227#107—611no—
1228#107—611no—
1229#107—611no—
1230#107—611no—
1231#107—611no—
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107C22×D6111yescharacteristic
1237#107C22×D6111yescharacteristic
1238#107C22×D6111yescharacteristic
1239#106—611no—
1240#106—611no—
1241#106—611no—
1242#106—611no—
1243#106—611no—
1244#106—611no—
1245#106C22×D6111yescharacteristic
1246#106C22×D6111yescharacteristic
1247#106C22×D6111yescharacteristic
1248#106C22×D6111yescharacteristic
1249#106C22×D6111yescharacteristic
1250#106C22×D6111yescharacteristic
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8—611no—
1259C4⋊C8—611no—
1260C4⋊C8C22×D6111yescharacteristic
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103C22×D6111yescharacteristic
1276#103C22×D6111yescharacteristic
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293C22⋊C8—611no—
1294C22⋊C8—611no—
1295C22⋊C8—611no—
1296C22⋊C8—611no—
1297C22⋊C8C22×D6111yescharacteristic
1298C22⋊C8C22×D6111yescharacteristic
1299#97—611no—
1300#97—611no—
1301#97—611no—
1302#97C22×D6111yescharacteristic
1303C4×C8—611no—
1304C4×C8—611no—
1305C24—1221no—
1306#41—1222no—
1307#41—1224no—
1308#41—1222no—
1309#41—2441no—
1310#41—2441no—
1311C2×Q8—21no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—1221no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—1221no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—4882no—
1325C2×Q8—4882no—
1326C2×Q8—4882no—
1327C2×Q8C23×D6111yescharacteristic
1328C2×Q8C23×D6111yescharacteristic
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—611no—
1333C2×D4—1222no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—2441no—
1340C2×D4D4×D6111yescharacteristic
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—611no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—2444no—
1364C22×C4C23×D6111yescharacteristic
1365C22×C4C23×D6111yescharacteristic
1366Q16—41no—
1367Q16—2441no—
1368Q16—2441no—
1369Q16—2441no—
1370SD16—1222no—
1371SD16—1222no—
1372SD16—2441no—
1373SD16—2441no—
1374M16—41no—
1375M16—2441no—
1376M16—2441no—
1377M16—2441no—
1378C2×C8—41no—
1379C2×C8—611no—
1380C2×C8—611no—
1381C2×C8—611no—
1382C2×C8—611no—
1383C2×C8—2441no—
1384C2×C8C23×D6111yescharacteristic
1385C2×C8C23×D6111yescharacteristic
1386C2×C8C23×D6111yescharacteristic
1387C2×C8C23×D6111yescharacteristic
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4D4×D6111yescharacteristic
1443C4⋊C4C23×D6111yescharacteristic
1444C4⋊C4C23×D6111yescharacteristic
1445C4⋊C4C23×D6111yescharacteristic
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—611no—
1455C22⋊C4—611no—
1456C22⋊C4—611no—
1457C22⋊C4—611no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4D4×D6111yescharacteristic
1478C22⋊C4D4×D6111yescharacteristic
1479C42—21no—
1480C42—21no—
1481C42—21no—
1482C42—611no—
1483C42—611no—
1484C42—611no—
1485C42—611no—
1486C42—611no—
1487C42—611no—
1488C42—611no—
1489C42—611no—
1490C42—611no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42—1221no—
1499C42—1221no—
1500C42C23×D6111yescharacteristic
1501C23—611no—
1502C23—1221no—
1503C23—1221no—
1504C23—4881no—
1505C23—2442no—
1506C23—2442no—
1507C23C2×D4×D6111yescharacteristic
1508C23C2×D4×D6111yescharacteristic
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—21no—
1513Q8—81no—
1514Q8—1222no—
1515Q8—1221no—
1516Q8—1221no—
1517Q8—1221no—
1518Q8—1221no—
1519Q8—4881no—
1520Q8—4881no—
1521Q8—4881no—
1522Q8—4881no—
1523Q8—4881no—
1524Q8—4881no—
1525Q8—2442no—
1526Q8—2442no—
1527Q8—2442no—
1528D4—22no—
1529D4—612no—
1530D4—1222no—
1531D4—1222no—
1532D4—1221no—
1533D4—1221no—
1534D4—1221no—
1535D4—4881no—
1536D4—4881no—
1537D4—2442no—
1538D4—2442no—
1539D4—2442no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—42no—
1553C2×C4—81no—
1554C2×C4—81no—
1555C2×C4—614no—
1556C2×C4—611no—
1557C2×C4—611no—
1558C2×C4—611no—
1559C2×C4—611no—
1560C2×C4—611no—
1561C2×C4—611no—
1562C2×C4—611no—
1563C2×C4—1222no—
1564C2×C4—1222no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—1221no—
1571C2×C4—1221no—
1572C2×C4—1221no—
1573C2×C4—4881no—
1574C2×C4—4881no—
1575C2×C4—4881no—
1576C2×C4—4881no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—2441no—
1580C2×C4—2442no—
1581C2×C4—2442no—
1582C2×C4—2442no—
1583C2×C4—2442no—
1584C2×C4—2442no—
1585C2×C4—2442no—
1586C2×C4—2441no—
1587C2×C4—2441no—
1588C2×C4C2×D4×D6111yescharacteristic
1589C2×C4C2×D4×D6111yescharacteristic
1590C2×C4C2×D4×D6111yescharacteristic
1591C2×C4C2×D4×D6111yescharacteristic
1592C2×C4C24×D6111yescharacteristic
1593C8—21no—
1594C8—21no—
1595C8—21no—
1596C8—21no—
1597C8—1221no—
1598C8—1221no—
1599C8—1221no—
1600C8—1221no—
1601C22—21no—
1602C22—21no—
1603C22—21no—
1604C22—21no—
1605C22—21no—
1606C22—1221no—
1607C22—1222no—
1608C22—1221no—
1609C22—1221no—
1610C22—4884no—
1611C22—2441no—
1612C22—2441no—
1613C22—2441no—
1614C22—2441no—
1615C22—2441no—
1616C22#137×D6112yes—
1617C22C22×D4×D6111yescharacteristic
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—612no—
1631C4—612no—
1632C4—1221no—
1633C4—1221no—
1634C4—1221no—
1635C4—1221no—
1636C4—1221no—
1637C4—2441no—
1638C4—2441no—
1639C4—2441no—
1640C4—2441no—
1641C4—2441no—
1642C4—2441no—
1643C42−1+4×D6111yescharacteristic
1644C4#1684059811yescharacteristic
1645C2—22no—
1646C2—41no—
1647C2—4881no—
1648C2—2441no—
1649C2—2442no—
1650C2#2145949311yescharacteristic
1651C2C2×#137×D6111yescharacteristic
1652C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3344C2
socleC22×C61C23×D4
prime radical#21459384C2
hypercenter#3344D61
hypocenterC61#62108
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #21459633C2semidirect
3. #21458732C2semidirect
4. #21458726C2semidirect
5. #21458562C2semidirect
6. #21458560C2semidirect
7. #21458443C2semidirect
8. #21458441C2semidirect
9. #21458278C2semidirect
10. #21458274C2semidirect
11. #21458270C2semidirect
12. #21458133C2semidirect
13. #21458130C2semidirect
14. #21457906C2semidirect
15. #21457902C2semidirect
16. #21457898C2semidirect
17. #21457894C2semidirect
18. #21457191C2semidirect
19. #21457187C2semidirect
20. #21457160C2semidirect
21. #21457043C2semidirect
22. #21457041C2semidirect
23. #21456968C2semidirect
24. #21455979C2semidirect
25. #21455976C2semidirect
26. #21455824C2semidirect
27. #21455632C2semidirect
28. #21455629C2semidirect
29. C2×#16840051C2semidirect
30. #21454931C2semidirect
31. C61×#3344C2semidirect
32. Q8×Dic122C22semidirect
33. #16840492C22semidirect
38. #16840470C22semidirect
42. #16840467C22semidirect
57. #16840316C22semidirect
60. #16840314C22semidirect
62. C2×#14519776C22semidirect
63. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840169C22semidirect
77. #16840169C22semidirect
78. #16840166C22semidirect
79. #16840166C22semidirect
84. #16840111C22semidirect
85. #16840111C22semidirect
86. #16840106C22semidirect
87. #16840103C22semidirect
88. #16840102C22semidirect
92. #16840094C22semidirect
93. #16840094C22semidirect
95. #16840090C22semidirect
100. #16840072C22semidirect
101. #16840071C22semidirect
102. #16840066C22semidirect
103. #16840056C22semidirect
104. #16840056C22semidirect
105. #16840056C22semidirect
106. #16840056C22semidirect
107. #16840055C22semidirect
108. #16840055C22semidirect
109. #16840055C22semidirect
110. #16840055C22semidirect
121. #16840047C22semidirect
122. #16840046C22semidirect
123. #16840046C22semidirect
128. #16840021C22semidirect
129. #16840019C22semidirect
130. #16840018C22semidirect
142. #16839971C22semidirect
143. #16839971C22semidirect
144. #16839970C22semidirect
145. #16839970C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
156. #16839868C22semidirect
157. #16839867C22semidirect
158. #16839866C22semidirect
167. #16839838C22semidirect
168. #16839837C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
175. #16839805C22semidirect
176. #16839801C22semidirect
177. #16839801C22semidirect
179. #16839785C22semidirect
180. #16839784C22semidirect
190. C61×#501C22semidirect
191. C61×#485C22semidirect
194. C61×#483C22semidirect
195. C61×#479C22semidirect
196. C61×#475C22semidirect
197. C61×#470C22semidirect
199. C61×#441C22semidirect
201. C61×#428C22semidirect
830. #3344D61semidirect
906. #501C2×D61semidirect
918. #485C2×D61semidirect
928. #483C2×D61semidirect
936. #479C2×D61semidirect
958. #475C2×D61semidirect
966. #470C2×D61semidirect
996. #441C2×D61semidirect
1017. #428C2×D61semidirect
1029. C61#62108semidirect

Maximal subgroups

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

subgroupindex
#214596332
#214593842
#214587322
#214587262
#214585622
#214585602
#214584432
#214584412
#214582782
#214582742
#214582702
#214581332
#214581302
#214579062
#214579022
#214578982
#214578942
#214571912
#214571872
#214571602
#214570432
#214570412
#214569682
#214559792
#214559762
#214558242
#214556322
#214556292
C2×#168400512
#214549312
C61×#33442
#6210861