Finite Group Databasebeta

← #30576063

Subgroups — #30576063

Order 15616.

1780 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459828C211yesmaximal, characteristic, complemented
2#21459425C211yesmaximal, characteristic, complemented
3#21458726C211yesmaximal, characteristic, complemented
4#21458715C211yesmaximal, characteristic, complemented
5#21458630C211yesmaximal, characteristic, complemented
6#21458608C211yesmaximal, characteristic, complemented
7#21458443C211yesmaximal, characteristic, complemented
8#21458432C211yesmaximal, characteristic, complemented
9#21458363C211yesmaximal, characteristic, complemented
10#21458357C211yesmaximal, characteristic, complemented
11#21458318C211yesmaximal, characteristic, complemented
12#21458312C211yesmaximal, characteristic, complemented
13#21458059C211yesmaximal, characteristic, complemented
14#21458048C211yesmaximal, characteristic, complemented
15#21457978C211yesmaximal, characteristic, complemented
16#21457974C211yesmaximal, characteristic, complemented
17#21457858C211yesmaximal, characteristic, complemented
18#21457854C211yesmaximal, characteristic, complemented
19#21457222C211yesmaximal, characteristic, complemented
20#21457215C211yesmaximal, characteristic, complemented
21#21457144C211yesmaximal, characteristic, complemented
22#21457064C211yesmaximal, characteristic, complemented
23#21456954C211yesmaximal, characteristic, complemented
24#21455962C211yesmaximal, characteristic, complemented
25#21455959C211yesmaximal, characteristic, complemented
26#21455844C211yesmaximal, characteristic, complemented
27#21455614C211yesmaximal, characteristic, complemented
28#21455612C211yesmaximal, characteristic, complemented
29#21455606C211yesmaximal, characteristic, complemented
30#21454938C211yesmaximal, characteristic, complemented
31C61×#3240C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic
33#16840492C2211yescharacteristic, complemented
34#16840486C2211yescharacteristic, complemented
35#16840484—21no—
36#16840484—21no—
37#16840483—21no—
38#16840480C2211yescharacteristic
39#16840480C2211yescharacteristic, complemented
40#16840478C2211yescharacteristic, complemented
41#16840475C2211yescharacteristic
42#16840475C2211yescharacteristic, complemented
43#16840470C2211yescharacteristic
44#16840468C2211yescharacteristic
45#16840465C2211yescharacteristic
46#16840464C2211yescharacteristic
47#16840463—21no—
48#16840437—21no—
49#16840435—21no—
50#16840427C2211yescharacteristic, complemented
51#16840422—21no—
52#16840405C2211yescharacteristic
53#16840404—21no—
54#16840403C2211yescharacteristic
55#16840396C2211yescharacteristic
56#16840384—21no—
57#16840382—21no—
58#16840382—21no—
59#16840318C2211yescharacteristic, complemented
60#16840318C2211yescharacteristic, complemented
61#16840309C2211yescharacteristic
62#16840299C2211yescharacteristic
63#16840297C2211yescharacteristic, complemented
64#16840297C2211yescharacteristic, complemented
65#16840296C2211yescharacteristic, complemented
66#16840290—21no—
67#16840274—21no—
68#16840271—21no—
69#16840238—21no—
70C4×#11758226C2211yescharacteristic
71C4×#11758222C2211yescharacteristic
72C2×C4×D244C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840170C2211yescharacteristic, complemented
76#16840169C2211yescharacteristic, complemented
77#16840166C2211yescharacteristic, complemented
78#16840159C2211yescharacteristic, complemented
79#16840123C2211yescharacteristic, complemented
80#16840123C2211yescharacteristic, complemented
81#16840107C2211yescharacteristic
82#16840107C2211yescharacteristic
83#16840105C2211yescharacteristic, complemented
84#16840102C2211yescharacteristic, complemented
85#16840101C2211yescharacteristic, complemented
86#16840094C2211yescharacteristic, complemented
87#16840093C2211yescharacteristic, complemented
88#16840089C2211yescharacteristic
89#16840089C2211yescharacteristic, complemented
90#16840088C2211yescharacteristic
91#16840088C2211yescharacteristic, complemented
92#16840088C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840077C2211yescharacteristic, complemented
96#16840076C2211yescharacteristic, complemented
97#16840072C2211yescharacteristic, complemented
98#16840069C2211yescharacteristic, complemented
99#16840066C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840063C2211yescharacteristic
102#16840063C2211yescharacteristic, complemented
103#16840062C2211yescharacteristic, complemented
104#16840059C2211yescharacteristic
105#16840059C2211yescharacteristic
106#16840059C2211yescharacteristic, complemented
107#16840059C2211yescharacteristic, complemented
108#16840059C2211yescharacteristic, complemented
109#16840056C2211yescharacteristic, complemented
110#16840055C2211yescharacteristic, complemented
111#16840051C2211yescharacteristic
112#16840051C2211yescharacteristic
113#16840051C2211yescharacteristic, complemented
114#16840050C2211yescharacteristic, complemented
115#16840049C2211yescharacteristic
116#16840049C2211yescharacteristic, complemented
117#16840045C2211yescharacteristic, complemented
118#16840041C2211yescharacteristic
119#16840041C2211yescharacteristic
120#16840040C2211yescharacteristic, complemented
121#16840039C2211yescharacteristic
122#16840039C2211yescharacteristic, complemented
123#16840019C2211yescharacteristic, complemented
124#16840018C2211yescharacteristic, complemented
125#16840016C2211yescharacteristic
126#16840013C2211yescharacteristic
127#16840011C2211yescharacteristic, complemented
128#16840010C2211yescharacteristic, complemented
129#16840009C2211yescharacteristic
130#16840006C2211yescharacteristic
131#16839999C2211yescharacteristic, complemented
132#16839997C2211yescharacteristic, complemented
133#16839992C2211yescharacteristic, complemented
134#16839990C2211yescharacteristic, complemented
135#16839987C2211yescharacteristic, complemented
136#16839984C2211yescharacteristic, complemented
137#16839981C2211yescharacteristic, complemented
138#16839980C2211yescharacteristic, complemented
139#16839978C2211yescharacteristic
140#16839978C2211yescharacteristic, complemented
141#16839977C2211yescharacteristic, complemented
142#16839974C2211yescharacteristic, complemented
143#16839961C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839927C2211yescharacteristic
146#16839915C2211yescharacteristic
147#16839914C2211yescharacteristic
148#16839910C2211yescharacteristic
149#16839898C2211yescharacteristic
150#16839897C2211yescharacteristic
151#16839890C2211yescharacteristic, complemented
152#16839890C2211yescharacteristic, complemented
153#16839875C2211yescharacteristic
154#16839875C2211yescharacteristic, complemented
155#16839873C2211yescharacteristic
156#16839871C2211yescharacteristic, complemented
157#16839864C2211yescharacteristic
158#16839864C2211yescharacteristic, complemented
159#16839861C2211yescharacteristic
160#16839859C2211yescharacteristic, complemented
161#16839854C2211yescharacteristic, complemented
162#16839849C2211yescharacteristic
163#16839847C2211yescharacteristic, complemented
164#16839844C2211yescharacteristic
165#16839837C2211yescharacteristic
166#16839837C2211yescharacteristic
167#16839836C2211yescharacteristic, complemented
168#16839836C2211yescharacteristic, complemented
169#16839835C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic, complemented
171#16839818C2211yescharacteristic, complemented
172#16839814C2211yescharacteristic, complemented
173#16839805C2211yescharacteristic, complemented
174#16839805C2211yescharacteristic, complemented
175#16839803C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839799C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839786C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839766C2211yescharacteristic
183#16839766C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic
188C61×#533C2211yescharacteristic, complemented
189C61×#529C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#501C2211yescharacteristic, complemented
192C61×#489C2211yescharacteristic, complemented
193C61×#489C2211yescharacteristic, complemented
194C61×#485C2211yescharacteristic, complemented
195C61×#485C2211yescharacteristic, complemented
196C61×#482C2211yescharacteristic
197C61×#482C2211yescharacteristic
198C61×#479C2211yescharacteristic, complemented
199C61×#479C2211yescharacteristic, complemented
200C61×#478C2211yescharacteristic, complemented
201C61×#478C2211yescharacteristic, complemented
202C61×#432C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222D411yescharacteristic
206C2×Q8×D61—21no—
207C22×D244C2311yescharacteristic
208C2×D4×D61—21no—
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211C22×C4×D61—21no—
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×D488C2311yescharacteristic
218C2×D488C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758194C2311yescharacteristic
221C2×#11758194C2311yescharacteristic
222C2×#11758189C2311yescharacteristic
223C2×#11758189C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226#14519776—21no—
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519776C2311yescharacteristic
232#14519775—21no—
233#14519775—21no—
234#14519773C2311yescharacteristic
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519771—21no—
242#14519771—21no—
243#14519771—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519769C2311yescharacteristic
248#14519768C2311yescharacteristic
249#14519767—21no—
250#14519766—21no—
251#14519766—21no—
252#14519766—21no—
253#14519766C2311yescharacteristic
254#14519765—21no—
255#14519765—21no—
256#14519765C2311yescharacteristic
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519761—21no—
269#14519761—21no—
270#14519760—21no—
271#14519759—21no—
272#14519759—21no—
273#14519757—21no—
274#14519757—21no—
275#14519757C2311yescharacteristic
276#14519757C2311yescharacteristic
277#14519756C2311yescharacteristic
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519755—21no—
284#14519755—21no—
285#14519755—21no—
286#14519754—21no—
287#14519753—21no—
288#14519753C2311yescharacteristic
289#14519752—21no—
290#14519752—21no—
291#14519752—21no—
292#14519752C2311yescharacteristic
293#14519752C2311yescharacteristic
294#14519752C2311yescharacteristic
295#14519752C2311yescharacteristic
296#14519751C2311yescharacteristic
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519750—21no—
302#14519749—21no—
303#14519748C2311yescharacteristic
304#14519747—21no—
305#14519747—21no—
306#14519747—21no—
307#14519745—21no—
308Q8×Dic61—21no—
309Q8×Dic61C2311yescharacteristic
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122D411yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315#14519742—21no—
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322C4×D244—21no—
323C4×D244—21no—
324C4×D244—21no—
325C4×D244—21no—
326C4×D244D411yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332C4×D244C2311yescharacteristic
333D4×Dic61—21no—
334D4×Dic61C2311yescharacteristic
335#14519739—21no—
336#14519739—21no—
337#14519739—21no—
338#14519739—21no—
339#14519739C2311yescharacteristic
340#14519739C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61D411yescharacteristic
347C4×C22⋊D61D411yescharacteristic
348C4×C22⋊D61C2311yescharacteristic
349C4×C22⋊D61C2311yescharacteristic
350#14519737—21no—
351#14519737—21no—
352#14519737—21no—
353#14519736D411yescharacteristic
354#14519735—21no—
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519735C2311yescharacteristic
363#14519734—21no—
364#14519734—21no—
365#14519734—21no—
366#14519734—21no—
367#14519734D411yescharacteristic
368#14519734D411yescharacteristic
369C2×C4⋊Dic61C2311yescharacteristic
370C4⋊C4×D61—21no—
371C4⋊C4×D61C2311yescharacteristic
372C2×#11758198—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C42×D61—21no—
377C42×D61C2311yescharacteristic
378C42×D61C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C4⋊Q8×C61C2311yescharacteristic
436C4⋊Q8×C61C2311yescharacteristic
437#126×C61—21no—
438#125×C61C2311yescharacteristic
439#125×C61C2311yescharacteristic
440#125×C61C2311yescharacteristic
441#124×C61C2311yescharacteristic
442#123×C61—21no—
443C22⋊Q8×C61—21no—
444C22⋊Q8×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61—21no—
448C4×Q8×C61—21no—
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452#117×C61—21no—
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456#107×C61C2311yescharacteristic
457#107×C61C2311yescharacteristic
458#107×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#106×C61C2311yescharacteristic
461#106×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478C23×D61—21no—
479C23×D61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C22×C4×C61—21no—
486C22×C4×C61C2×D411yescharacteristic
487C22×C4×C61C2×D411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61C2×D411yescharacteristic
495C2×C22⋊D61C2×D411yescharacteristic
496C22×Dic61—21no—
497C22×Dic61—21no—
498#11758226—22no—
499#11758226—41no—
500Q8×D61—44no—
501D4×D61—22no—
502D4×D61—41no—
503D4×D61—44no—
504#11758222—42no—
505#11758222—82no—
506C2×D244—22no—
507C2×D244—21no—
508C2×D244—21no—
509C2×D244—21no—
510C2×D244—21no—
511C2×D244—21no—
512C2×D244—21no—
513C2×D244—41no—
514C2×D244C2×D411yescharacteristic
515C2×D244C2411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×D244C2411yescharacteristic
518C2×C4×D61—21no—
519C2×C4×D61—21no—
520C2×C4×D61—21no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—82no—
530C2×C4×D61—82no—
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2×D411yescharacteristic
533C2×C4×D61C2×D411yescharacteristic
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2411yescharacteristic
536C2×C4×D61C2411yescharacteristic
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544C2×C8×C61C2411yescharacteristic
545C2×C8×C61C2411yescharacteristic
546C2×C8×C61C2411yescharacteristic
547C2×C8×C61C2411yescharacteristic
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×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C42×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61C2×D411yescharacteristic
575C42×C61C2×D411yescharacteristic
576C42×C61C2411yescharacteristic
577C42×C61C2411yescharacteristic
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61C2×D411yescharacteristic
582C22⋊Dic61C2×D411yescharacteristic
583#11758202—41no—
584#11758201—41no—
585#11758200—41no—
586#11758199—41no—
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#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2×D411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
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×Dic61—21no—
655C4×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661#11758194—41no—
662#11758194—41no—
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667D488—22no—
668D488—41no—
669#11758190—22no—
670#11758190—41no—
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61C22×D411yescharacteristic
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—42no—
681C22×D61—42no—
682C22×D61—42no—
683C22×D61—42no—
684C22×D61—81no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690Q8×C61—42no—
691Q8×C61—81no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—42no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—41no—
705C2×C4×C61—41no—
706C2×C4×C61—42no—
707C2×C4×C61C22×D411yescharacteristic
708C2×C4×C61C22×D411yescharacteristic
709C2×C4×C61C22×D411yescharacteristic
710C2×C4×C61C22×D411yescharacteristic
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C2511yescharacteristic
713C22⋊D61—22no—
714C22⋊D61—41no—
715C22⋊D61—42no—
716C22⋊D61—42no—
717C22⋊D61—81no—
718C22⋊D61—81no—
719C22⋊D61—81no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—81no—
726C2×Dic61—81no—
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733D244—21no—
734D244—21no—
735D244—21no—
736D244—21no—
737D244—21no—
738D244—41no—
739D244—42no—
740D244—42no—
741D244—42no—
742D244—81no—
743D244—81no—
744D244—81no—
745D2442−1+412yes—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—21no—
749C4×D61—21no—
750C4×D61—22no—
751C4×D61—41no—
752C4×D61—41no—
753C4×D61—41no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—42no—
758C4×D61—42no—
759C4×D61—42no—
760C4×D61—42no—
761C4×D61—81no—
762C4×D61—81no—
763C4×D61—81no—
764C4×D61—81no—
765Dic122—22no—
766Dic122—21no—
767Dic122—21no—
768Dic122—42no—
769Dic122—42no—
770Dic122—81no—
771Dic122—81no—
772Dic122—81no—
773C8×C61—21no—
774C8×C61—21no—
775C8×C61—21no—
776C8×C61—21no—
777#92418—21no—
778#92418—21no—
779#92418—21no—
780#92418—21no—
781#62122—611nomaximal, Sylow
782C22×C61—21no—
783C22×C61—21no—
784C22×C61—21no—
785C22×C61—41no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61C23×D411yescharacteristic
789C2×D61—21no—
790C2×D61—21no—
791C2×D61—21no—
792C2×D61—21no—
793C2×D61—22no—
794C2×D61—21no—
795C2×D61—21no—
796C2×D61—41no—
797C2×D61—41no—
798C2×D61—41no—
799C2×D61—41no—
800C2×D61—41no—
801C2×D61—41no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—84no—
805C2×D61—84no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61—21no—
809C4×C61—21no—
810C4×C61—21no—
811C4×C61—41no—
812C4×C61—41no—
813C4×C61—41no—
814C4×C61—41no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61C2×2−1+411yescharacteristic
819C4×C61#58511yescharacteristic
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—21no—
824Dic61—21no—
825Dic61—41no—
826Dic61—41no—
827Dic61—41no—
828Dic61—41no—
829Dic61—41no—
830Dic61#57512yes—
831#3518—611no—
832#3481—611no—
833#3385—611no—
834#3384—611no—
835#3375—611no—
836#3373—611no—
837#3357—611no—
838#3356—611no—
839#3350—611no—
840#3350—611no—
841#3347—611no—
842#3347—611no—
843#3325—611no—
844#3324—611no—
845#3319—611no—
846#3319—611no—
847#3311—611no—
848#3311—611no—
849#3256—611no—
850#3256—611no—
851#3247—611no—
852#3240—611no—
853#3240D6111yescharacteristic, complemented
854#3228—611no—
855#3114—611no—
856#3114—611no—
857#3102—611no—
858#3077—611no—
859#3077—611no—
860#3076—611no—
861#2989—611no—
862C2×C61—41no—
863C2×C61—81no—
864C2×C61#348911yescharacteristic
865C2×C61C2×#57511yescharacteristic
866C2×C61#358511yescharacteristic
867D61—41no—
868D61—41no—
869D61—42no—
870D61—81no—
871D61—81no—
872#559—611no—
873Q82—611no—
874#556—611no—
875#556—611no—
876#556—611no—
877#556—1221no—
878#556—1221no—
879#556—1221no—
880#555—611no—
881#555—611no—
882#555—611no—
883#554—611no—
884#554—611no—
885#553—611no—
886#553—611no—
887#553—1221no—
888#551—1221no—
889#551—1221no—
890D4×Q8—611no—
891#548—1221no—
892#546—611no—
893#546—611no—
894#546—1221no—
895D42—611no—
896#542—1221no—
897#542—1221no—
898#542—1221no—
899#533—611no—
900#533—611no—
901#533C2×D6111yescharacteristic, complemented
902#532—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529C2×D6111yescharacteristic
909#525—1221no—
910#525—1221no—
911#519—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—1221no—
917#501—611no—
918#501—611no—
919#501C2×D6111yescharacteristic, complemented
920#501C2×D6111yescharacteristic, complemented
921#500—611no—
922#498—611no—
923#489—611no—
924#489—611no—
925#489C2×D6111yescharacteristic, complemented
926#489C2×D6111yescharacteristic, complemented
927#486—611no—
928#486—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485C2×D6111yescharacteristic, complemented
933#485C2×D6111yescharacteristic, complemented
934#483—611no—
935#483—611no—
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482—611no—
942#482—611no—
943#482C2×D6111yescharacteristic
944#482C2×D6111yescharacteristic
945#480—611no—
946#480—611no—
947#479—611no—
948#479—611no—
949#479—611no—
950#479C2×D6111yescharacteristic, complemented
951#479C2×D6111yescharacteristic, complemented
952#478—611no—
953#478—611no—
954#478—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#478—611no—
960#478—611no—
961#478C2×D6111yescharacteristic, complemented
962#478C2×D6111yescharacteristic, complemented
963#477—611no—
964#477—611no—
965#476—611no—
966#476—611no—
967#476—611no—
968#476—611no—
969#476—611no—
970#476—611no—
971#475—611no—
972#474—611no—
973#474—611no—
974#474—611no—
975#474—611no—
976#474—611no—
977#470—611no—
978#470—611no—
979#469—611no—
980#469—611no—
981#468—611no—
982#468—611no—
983#468—611no—
984#468—611no—
985#466—611no—
986#466—611no—
987#465—611no—
988#465—611no—
989#464—611no—
990#464—611no—
991#464—611no—
992#463—611no—
993#463—611no—
994#463—611no—
995#463—611no—
996#463—611no—
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450—611no—
1002#449—611no—
1003#447—611no—
1004#447—611no—
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015C4×Q16—611no—
1016C4×SD16—611no—
1017C4×SD16—611no—
1018C4×D8—611no—
1019#436—611no—
1020#436—611no—
1021#435—611no—
1022#435—611no—
1023#435—611no—
1024#435—611no—
1025#432—611no—
1026#432C2×D6111yescharacteristic, complemented
1027#431—611no—
1028#428—611no—
1029#428—611no—
1030#428—611no—
1031#428—611no—
1032#427—611no—
1033#427—611no—
1034#423—611no—
1035#423—611no—
1036C2×C4⋊C8—611no—
1037#418—611no—
1038#418—611no—
1039#418—611no—
1040#418—611no—
1041#416—611no—
1042#416—611no—
1043C61#6212211yescharacteristic, complemented, Sylow
1044C2×#41—611no—
1045C2×#41—611no—
1046C2×#41—1221no—
1047C22×Q8—1221no—
1048C22×D4—611no—
1049C22×D4—611no—
1050C22×D4—1221no—
1051C23×C4—1221no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16—611no—
1057C2×SD16—611no—
1058C2×D8—611no—
1059C2×D8—611no—
1060C2×D8—611no—
1061C2×M16—611no—
1062C2×M16—611no—
1063C2×M16—611no—
1064C2×M16—611no—
1065C22×C8—611no—
1066C22×C8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—611no—
1070C4⋊Q8—611no—
1071C4⋊Q8—611no—
1072C4⋊Q8—1221no—
1073C4⋊Q8—1221no—
1074C4⋊Q8—1221no—
1075C4⋊Q8C22×D6111yescharacteristic
1076C4⋊Q8C22×D6111yescharacteristic
1077#127—611no—
1078#126—21no—
1079#126—1221no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#125—611no—
1092#125—611no—
1093#125—1221no—
1094#125C22×D6111yescharacteristic
1095#125C22×D6111yescharacteristic
1096#125C22×D6111yescharacteristic
1097#124—611no—
1098#124—611no—
1099#124—1221no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124—1221no—
1107#124—1221no—
1108#124—1221no—
1109#124—1221no—
1110#124C22×D6111yescharacteristic
1111#123—21no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122C22⋊Q8—21no—
1123C22⋊Q8—21no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—611no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8—1221no—
1140C22⋊Q8C22×D6111yescharacteristic
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—1221no—
1148#121—1221no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121C22×D6111yescharacteristic
1157#120—1221no—
1158#120—1221no—
1159#120—1221no—
1160#120—1221no—
1161C4×Q8—21no—
1162C4×Q8—21no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8—1221no—
1172C4×Q8—1221no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8C22×D6111yescharacteristic
1178C4×D4—21no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4C22×D6111yescharacteristic
1211#117—21no—
1212#117—611no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—611no—
1219#117—611no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117—1221no—
1225#117—1221no—
1226#117—1221no—
1227#117—1221no—
1228#117C22×D6111yescharacteristic
1229#117C22×D6111yescharacteristic
1230C2×C4⋊C4—611no—
1231C2×C4⋊C4—611no—
1232C2×C4⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C22⋊C4—1221no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42C22×D6111yescharacteristic
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107—611no—
1245#107—611no—
1246#107—611no—
1247#107—611no—
1248#107—611no—
1249#107C22×D6111yescharacteristic
1250#107C22×D6111yescharacteristic
1251#107C22×D6111yescharacteristic
1252#107C22×D6111yescharacteristic
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256#106—611no—
1257#106—611no—
1258#106—611no—
1259#106—611no—
1260#106—611no—
1261#106C22×D6111yescharacteristic
1262#106C22×D6111yescharacteristic
1263#106C22×D6111yescharacteristic
1264#106C22×D6111yescharacteristic
1265C4⋊C8—611no—
1266C4⋊C8—611no—
1267C4⋊C8—611no—
1268C4⋊C8—611no—
1269C4⋊C8—611no—
1270C4⋊C8—611no—
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8C22×D6111yescharacteristic
1274C4⋊C8C22×D6111yescharacteristic
1275#103—611no—
1276#103—611no—
1277#103—611no—
1278#103—611no—
1279#103—611no—
1280#103—611no—
1281#103C22×D6111yescharacteristic
1282#103C22×D6111yescharacteristic
1283#103C22×D6111yescharacteristic
1284#103C22×D6111yescharacteristic
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102C22×D6111yescharacteristic
1304#102C22×D6111yescharacteristic
1305#102C22×D6111yescharacteristic
1306#102C22×D6111yescharacteristic
1307C22⋊C8—611no—
1308C22⋊C8—611no—
1309C22⋊C8—611no—
1310C22⋊C8—611no—
1311C22⋊C8C22×D6111yescharacteristic
1312C22⋊C8C22×D6111yescharacteristic
1313#97—611no—
1314#97—611no—
1315#97C22×D6111yescharacteristic
1316#97C22×D6111yescharacteristic
1317C4×C8—611no—
1318C4×C8—611no—
1319C24—1221no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2442no—
1324#41—2441no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—611no—
1328C2×Q8—611no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—2444no—
1335C2×Q8C23×D6111yescharacteristic
1336C2×D4—21no—
1337C2×D4—611no—
1338C2×D4—611no—
1339C2×D4—611no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—1222no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1222no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2444no—
1359C2×D4C23×D6111yescharacteristic
1360C22×C4—21no—
1361C22×C4—611no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—1221no—
1368C22×C4—1221no—
1369C22×C4—1221no—
1370C22×C4—1221no—
1371C22×C4—1221no—
1372C22×C4—1221no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—4882no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—1222no—
1387SD16—2441no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—1222no—
1391D8—2441no—
1392D8—2441no—
1393M16—2441no—
1394M16—2441no—
1395M16—2441no—
1396M16—2441no—
1397C2×C8—611no—
1398C2×C8—611no—
1399C2×C8—611no—
1400C2×C8—611no—
1401C2×C8—2441no—
1402C2×C8—2441no—
1403C2×C8C23×D6111yescharacteristic
1404C2×C8C23×D6111yescharacteristic
1405C2×C8C23×D6111yescharacteristic
1406C2×C8C23×D6111yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
1424C4⋊C4—611no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
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⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4C23×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C4⋊C4C23×D6111yescharacteristic
1450C4⋊C4C23×D6111yescharacteristic
1451C4⋊C4C23×D6111yescharacteristic
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—611no—
1460C22⋊C4—611no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
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⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—611no—
1502C42—611no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42—1221no—
1511C42—1221no—
1512C42D4×D6111yescharacteristic
1513C42D4×D6111yescharacteristic
1514C42C23×D6111yescharacteristic
1515C42C23×D6111yescharacteristic
1516C23—21no—
1517C23—611no—
1518C23—611no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—4881no—
1523C23—4881no—
1524C23—2442no—
1525C23—2442no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—42no—
1532Q8—81no—
1533Q8—1222no—
1534Q8—1221no—
1535Q8—1221no—
1536Q8—4881no—
1537Q8—4881no—
1538Q8—4881no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—21no—
1542D4—21no—
1543D4—42no—
1544D4—612no—
1545D4—1222no—
1546D4—1221no—
1547D4—1221no—
1548D4—1221no—
1549D4—1221no—
1550D4—1221no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—4881no—
1555D4—4881no—
1556D4—4881no—
1557D4—2441no—
1558D4—2442no—
1559D4—2442no—
1560D4—2442no—
1561D4—2442no—
1562D4—2441no—
1563D4—2442no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—42no—
1576C2×C4—611no—
1577C2×C4—611no—
1578C2×C4—611no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—1222no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—4881no—
1593C2×C4—4881no—
1594C2×C4—4881no—
1595C2×C4—4881no—
1596C2×C4—4881no—
1597C2×C4—4881no—
1598C2×C4—2441no—
1599C2×C4—2441no—
1600C2×C4—2441no—
1601C2×C4—2442no—
1602C2×C4—2442no—
1603C2×C4—2442no—
1604C2×C4—2442no—
1605C2×C4—2442no—
1606C2×C4—2442no—
1607C2×C4—2442no—
1608C2×C4C2×D4×D6111yescharacteristic
1609C2×C4C2×D4×D6111yescharacteristic
1610C2×C4C2×D4×D6111yescharacteristic
1611C2×C4C2×D4×D6111yescharacteristic
1612C2×C4C2×D4×D6111yescharacteristic
1613C2×C4C24×D6111yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1221no—
1619C8—1221no—
1620C8—1221no—
1621C8—1221no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—1221no—
1629C22—1221no—
1630C22—1222no—
1631C22—1221no—
1632C22—1221no—
1633C22—1221no—
1634C22—1221no—
1635C22—4884no—
1636C22—4884no—
1637C22—2441no—
1638C22—2441no—
1639C22—2441no—
1640C22—2441no—
1641C22—2441no—
1642C22—2441no—
1643C22—2441no—
1644C22—2441no—
1645C22C22×D4×D6111yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—612no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—1221no—
1663C4—1221no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C42−1+4×D6111yescharacteristic
1670C4#1684059911yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—4881no—
1674C2—4881no—
1675C2—2441no—
1676C2—2441no—
1677C2—2442no—
1678C2#2145949711yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3240C2
socleC22×C61C23×D4
hypercenter#3240D61
hypocenterC61#62122
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3240

Complements

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

NH ≅ G/Ntype
1. #21459828C2semidirect
2. #21459425C2semidirect
3. #21458726C2semidirect
4. #21458715C2semidirect
5. #21458630C2semidirect
6. #21458608C2semidirect
7. #21458443C2semidirect
8. #21458432C2semidirect
9. #21458363C2semidirect
10. #21458357C2semidirect
11. #21458318C2semidirect
12. #21458312C2semidirect
13. #21458059C2semidirect
14. #21458048C2semidirect
15. #21457978C2semidirect
16. #21457974C2semidirect
17. #21457858C2semidirect
18. #21457854C2semidirect
19. #21457222C2semidirect
20. #21457215C2semidirect
21. #21457144C2semidirect
22. #21457064C2semidirect
23. #21456954C2semidirect
24. #21455962C2semidirect
25. #21455959C2semidirect
26. #21455844C2semidirect
27. #21455614C2semidirect
28. #21455612C2semidirect
29. #21455606C2semidirect
30. #21454938C2semidirect
31. C61×#3240C2semidirect
33. #16840492C22semidirect
34. #16840486C22semidirect
39. #16840480C22semidirect
40. #16840478C22semidirect
42. #16840475C22semidirect
50. #16840427C22semidirect
59. #16840318C22semidirect
60. #16840318C22semidirect
63. #16840297C22semidirect
64. #16840297C22semidirect
65. #16840296C22semidirect
75. #16840170C22semidirect
76. #16840169C22semidirect
77. #16840166C22semidirect
78. #16840159C22semidirect
79. #16840123C22semidirect
80. #16840123C22semidirect
83. #16840105C22semidirect
84. #16840102C22semidirect
85. #16840101C22semidirect
86. #16840094C22semidirect
87. #16840093C22semidirect
89. #16840089C22semidirect
91. #16840088C22semidirect
92. #16840088C22semidirect
93. #16840085C22semidirect
94. #16840084C22semidirect
95. #16840077C22semidirect
96. #16840076C22semidirect
97. #16840072C22semidirect
98. #16840069C22semidirect
99. #16840066C22semidirect
100. #16840065C22semidirect
102. #16840063C22semidirect
103. #16840062C22semidirect
106. #16840059C22semidirect
107. #16840059C22semidirect
108. #16840059C22semidirect
109. #16840056C22semidirect
110. #16840055C22semidirect
113. #16840051C22semidirect
114. #16840050C22semidirect
116. #16840049C22semidirect
117. #16840045C22semidirect
120. #16840040C22semidirect
122. #16840039C22semidirect
123. #16840019C22semidirect
124. #16840018C22semidirect
127. #16840011C22semidirect
128. #16840010C22semidirect
131. #16839999C22semidirect
132. #16839997C22semidirect
133. #16839992C22semidirect
134. #16839990C22semidirect
135. #16839987C22semidirect
136. #16839984C22semidirect
137. #16839981C22semidirect
138. #16839980C22semidirect
140. #16839978C22semidirect
141. #16839977C22semidirect
142. #16839974C22semidirect
151. #16839890C22semidirect
152. #16839890C22semidirect
154. #16839875C22semidirect
156. #16839871C22semidirect
158. #16839864C22semidirect
160. #16839859C22semidirect
161. #16839854C22semidirect
163. #16839847C22semidirect
167. #16839836C22semidirect
168. #16839836C22semidirect
169. #16839835C22semidirect
170. #16839835C22semidirect
171. #16839818C22semidirect
172. #16839814C22semidirect
173. #16839805C22semidirect
174. #16839805C22semidirect
175. #16839803C22semidirect
176. #16839801C22semidirect
177. #16839799C22semidirect
178. #16839797C22semidirect
179. #16839786C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
188. C61×#533C22semidirect
190. C61×#501C22semidirect
191. C61×#501C22semidirect
192. C61×#489C22semidirect
193. C61×#489C22semidirect
194. C61×#485C22semidirect
195. C61×#485C22semidirect
198. C61×#479C22semidirect
199. C61×#479C22semidirect
200. C61×#478C22semidirect
201. C61×#478C22semidirect
202. C61×#432C22semidirect
853. #3240D61semidirect
901. #533C2×D61semidirect
919. #501C2×D61semidirect
920. #501C2×D61semidirect
925. #489C2×D61semidirect
926. #489C2×D61semidirect
932. #485C2×D61semidirect
933. #485C2×D61semidirect
950. #479C2×D61semidirect
951. #479C2×D61semidirect
961. #478C2×D61semidirect
962. #478C2×D61semidirect
1026. #432C2×D61semidirect
1043. C61#62122semidirect

Maximal subgroups

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

subgroupindex
#214598282
#214594252
#214587262
#214587152
#214586302
#214586082
#214584432
#214584322
#214583632
#214583572
#214583182
#214583122
#214580592
#214580482
#214579782
#214579742
#214578582
#214578542
#214572222
#214572152
#214571442
#214570642
#214569542
#214559622
#214559592
#214558442
#214556142
#214556122
#214556062
#214549382
C61×#32402
#6212261