Finite Group Databasebeta

← #30576051

Subgroups — #30576051

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#21459834C211yesmaximal, characteristic, complemented
2#21459423C211yesmaximal, characteristic, complemented
3#21458730C211yesmaximal, characteristic, complemented
4#21458719C211yesmaximal, characteristic, complemented
5#21458634C211yesmaximal, characteristic, complemented
6#21458612C211yesmaximal, characteristic, complemented
7#21458438C211yesmaximal, characteristic, complemented
8#21458427C211yesmaximal, characteristic, complemented
9#21458369C211yesmaximal, characteristic, complemented
10#21458367C211yesmaximal, characteristic, complemented
11#21458324C211yesmaximal, characteristic, complemented
12#21458322C211yesmaximal, characteristic, complemented
13#21458054C211yesmaximal, characteristic, complemented
14#21458043C211yesmaximal, characteristic, complemented
15#21457980C211yesmaximal, characteristic, complemented
16#21457968C211yesmaximal, characteristic, complemented
17#21457860C211yesmaximal, characteristic, complemented
18#21457848C211yesmaximal, characteristic, complemented
19#21457217C211yesmaximal, characteristic, complemented
20#21457215C211yesmaximal, characteristic, complemented
21#21457142C211yesmaximal, characteristic, complemented
22#21457061C211yesmaximal, characteristic, complemented
23#21457058C211yesmaximal, characteristic, complemented
24#21456954C211yesmaximal, characteristic, complemented
25#21455956C211yesmaximal, characteristic, complemented
26#21455834C211yesmaximal, characteristic, complemented
27#21455616C211yesmaximal, characteristic, complemented
28#21455614C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454938C211yesmaximal, characteristic, complemented
31C61×#3114C211yesmaximal, characteristic, complemented
32#16840495C2211yescharacteristic
33Q8×Dic122C2211yescharacteristic, complemented
34#16840485C2211yescharacteristic, complemented
35#16840483C2211yescharacteristic
36#16840483C2211yescharacteristic, complemented
37#16840482—21no—
38#16840479—21no—
39#16840479—21no—
40#16840477C2211yescharacteristic, complemented
41#16840476C2211yescharacteristic
42#16840476C2211yescharacteristic, complemented
43#16840471C2211yescharacteristic
44#16840467C2211yescharacteristic
45#16840462C2211yescharacteristic
46#16840461—21no—
47#16840460C2211yescharacteristic
48#16840441—21no—
49#16840438—21no—
50D4×Dic122C2211yescharacteristic, complemented
51#16840421—21no—
52#16840407C2211yescharacteristic
53#16840406C2211yescharacteristic
54#16840402—21no—
55D4×C22⋊D61C2211yescharacteristic
56#16840383—21no—
57#16840380—21no—
58#16840380—21no—
59#16840319C2211yescharacteristic, complemented
60#16840318C2211yescharacteristic, complemented
61#16840318C2211yescharacteristic, complemented
62#16840309C2211yescharacteristic
63#16840296C2211yescharacteristic
64#16840294C2211yescharacteristic
65#16840292—21no—
66#16840291C2211yescharacteristic, complemented
67#16840291C2211yescharacteristic, complemented
68#16840273—21no—
69#16840271—21no—
70#16840239—21no—
71C4×#11758222C2211yescharacteristic
72C4×#11758224C2211yescharacteristic
73C2×C4×C22⋊D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840171C2211yescharacteristic, complemented
76#16840171C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840166C2211yescharacteristic, complemented
80#16840159C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840122C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840120C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840106C2211yescharacteristic, complemented
88#16840105C2211yescharacteristic, complemented
89#16840104C2211yescharacteristic, complemented
90#16840104C2211yescharacteristic, complemented
91#16840102C2211yescharacteristic, complemented
92#16840091C2211yescharacteristic, complemented
93#16840089C2211yescharacteristic, complemented
94#16840088C2211yescharacteristic, complemented
95#16840087C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840085C2211yescharacteristic
98#16840085C2211yescharacteristic, complemented
99#16840085C2211yescharacteristic, complemented
100#16840084C2211yescharacteristic
101#16840084C2211yescharacteristic, complemented
102#16840074C2211yescharacteristic, complemented
103#16840070C2211yescharacteristic, complemented
104#16840070C2211yescharacteristic, complemented
105#16840069C2211yescharacteristic, complemented
106#16840067C2211yescharacteristic, complemented
107#16840066C2211yescharacteristic, complemented
108#16840063C2211yescharacteristic, complemented
109#16840063C2211yescharacteristic, complemented
110#16840062C2211yescharacteristic
111#16840062C2211yescharacteristic
112#16840062C2211yescharacteristic, complemented
113#16840062C2211yescharacteristic, complemented
114#16840062C2211yescharacteristic, complemented
115#16840060C2211yescharacteristic, complemented
116#16840059C2211yescharacteristic, complemented
117#16840056C2211yescharacteristic, complemented
118#16840055C2211yescharacteristic, complemented
119#16840052C2211yescharacteristic
120#16840052C2211yescharacteristic, complemented
121#16840051C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic
123#16840050C2211yescharacteristic
124#16840050C2211yescharacteristic, complemented
125#16840046C2211yescharacteristic, complemented
126#16840042C2211yescharacteristic
127#16840042C2211yescharacteristic, complemented
128#16840041C2211yescharacteristic, complemented
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840019C2211yescharacteristic, complemented
132#16840018C2211yescharacteristic, complemented
133#16840013C2211yescharacteristic
134#16840012C2211yescharacteristic
135#16840010C2211yescharacteristic
136#16840007C2211yescharacteristic, complemented
137#16840006C2211yescharacteristic, complemented
138#16840005C2211yescharacteristic
139#16839997C2211yescharacteristic, complemented
140#16839995C2211yescharacteristic, complemented
141#16839994C2211yescharacteristic, complemented
142#16839988C2211yescharacteristic, complemented
143#16839984C2211yescharacteristic, complemented
144#16839982C2211yescharacteristic, complemented
145#16839981C2211yescharacteristic, complemented
146#16839977C2211yescharacteristic, complemented
147#16839975C2211yescharacteristic, complemented
148#16839974C2211yescharacteristic, complemented
149#16839960C2211yescharacteristic
150#16839955C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839911C2211yescharacteristic
153#16839904C2211yescharacteristic
154#16839894C2211yescharacteristic
155#16839890C2211yescharacteristic, complemented
156#16839890C2211yescharacteristic, complemented
157#16839874C2211yescharacteristic
158#16839871C2211yescharacteristic, complemented
159#16839865C2211yescharacteristic, complemented
160#16839863C2211yescharacteristic
161#16839854C2211yescharacteristic, complemented
162#16839853C2211yescharacteristic, complemented
163SD16×Dic61C2211yescharacteristic
164D8×Dic61C2211yescharacteristic
165#16839837C2211yescharacteristic
166#16839837C2211yescharacteristic
167#16839836C2211yescharacteristic, complemented
168#16839836C2211yescharacteristic, complemented
169#16839835C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic, complemented
171#16839818C2211yescharacteristic, complemented
172#16839814C2211yescharacteristic, complemented
173#16839803C2211yescharacteristic, complemented
174#16839802C2211yescharacteristic, complemented
175#16839802C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic, complemented
177#16839799C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839786C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839767C2211yescharacteristic
183#16839767C2211yescharacteristic
184#16839765C2211yescharacteristic
185#16839765C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#529C2211yescharacteristic, complemented
189C2×C4×D4×C61C2211yescharacteristic
190C61×#483C2211yescharacteristic, complemented
191C61×#480C2211yescharacteristic, complemented
192C61×#478C2211yescharacteristic
193C61×#478C2211yescharacteristic, complemented
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic, complemented
196C61×#450C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#442C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C61×#432C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222D411yescharacteristic
205C2×#11758224C2311yescharacteristic
206C22×Dic122—21no—
207C22×C22⋊D61—21no—
208C2×D4×D61C2311yescharacteristic
209C22×C4×D61—21no—
210C2×#11758202C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758201C2311yescharacteristic
213C2×#11758199C2311yescharacteristic
214C2×#11758194C2311yescharacteristic
215C2×#11758194C2311yescharacteristic
216C2×#11758189C2311yescharacteristic
217C2×#11758189C2311yescharacteristic
218C2×C8×D61C2311yescharacteristic
219C2×C8×D61C2311yescharacteristic
220#14519777—21no—
221#14519777C2311yescharacteristic
222#14519777C2311yescharacteristic
223#14519776—21no—
224#14519776—21no—
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519776C2311yescharacteristic
230#14519773C2311yescharacteristic
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519771—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519768C2311yescharacteristic
247#14519767—21no—
248#14519765—21no—
249#14519765C2311yescharacteristic
250#14519764—21no—
251#14519764—21no—
252#14519764C2311yescharacteristic
253#14519763—21no—
254#14519763—21no—
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519762—21no—
262#14519761—21no—
263#14519760—21no—
264#14519760—21no—
265#14519760—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519759—21no—
270#14519758—21no—
271#14519757C2311yescharacteristic
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519756—21no—
276#14519756—21no—
277#14519756C2311yescharacteristic
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519755—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519753C2311yescharacteristic
288#14519753C2311yescharacteristic
289#14519752C2311yescharacteristic
290#14519751—21no—
291#14519751—21no—
292#14519751—21no—
293#14519751C2311yescharacteristic
294#14519750—21no—
295#14519750—21no—
296#14519749—21no—
297#14519749—21no—
298#14519749—21no—
299#14519749—21no—
300#14519748C2311yescharacteristic
301#14519748C2311yescharacteristic
302#14519748C2311yescharacteristic
303#14519748C2311yescharacteristic
304#14519747—21no—
305#14519746—21no—
306#14519746—21no—
307#14519745—21no—
308Q8×Dic61C2311yescharacteristic
309Q8×Dic61C2311yescharacteristic
310C4×Dic122—21no—
311C4×Dic122—21no—
312C4×Dic122—21no—
313C4×Dic122—21no—
314C4×Dic122D411yescharacteristic
315C4×Dic122C2311yescharacteristic
316C4×Dic122C2311yescharacteristic
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742C2311yescharacteristic
324C4×D244D411yescharacteristic
325C4×D244C2311yescharacteristic
326C4×D244C2311yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331#14519739C2311yescharacteristic
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61—21no—
335C4×C22⋊D61—21no—
336C4×C22⋊D61—21no—
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61D411yescharacteristic
342C4×C22⋊D61D411yescharacteristic
343C4×C22⋊D61C2311yescharacteristic
344C4×C22⋊D61C2311yescharacteristic
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519736—21no—
350#14519736—21no—
351#14519736D411yescharacteristic
352#14519736C2311yescharacteristic
353#14519736C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519734—21no—
360#14519734D411yescharacteristic
361#14519734D411yescharacteristic
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367C2×#11758196—21no—
368C4⋊C4×D61C2311yescharacteristic
369C2×C22⋊Dic61—21no—
370C2×#11758198—21no—
371C22⋊C4×D61—21no—
372C2×C4×Dic61—21no—
373C42×D61C2311yescharacteristic
374C42×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C22×D4×C61C2311yescharacteristic
436C23×C4×C61—21no—
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#124×C61C2311yescharacteristic
444#123×C61—21no—
445C22⋊Q8×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×D4×C61—21no—
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C22⋊C4×C61—21no—
459C2×C42×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×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
478C24×C61—21no—
479C23×D61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×D4×C61—22no—
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—41no—
485C2×D4×C61C2411yescharacteristic
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—82no—
495C22×C4×C61C2×D411yescharacteristic
496C22×C4×C61C2×D411yescharacteristic
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—44no—
508C2×C22⋊D61C2×D411yescharacteristic
509C2×C22⋊D61C2×D411yescharacteristic
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515#11758224—22no—
516#11758224—41no—
517D4×D61—22no—
518D4×D61—41no—
519#11758222—42no—
520#11758222—82no—
521C2×D244—21no—
522C2×D244C2×D411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—82no—
528C2×C4×D61C2×D411yescharacteristic
529C2×C4×D61C2×D411yescharacteristic
530C2×C4×D61C2×D411yescharacteristic
531C2×C4×D61C2×D411yescharacteristic
532C2×C4×D61C2411yescharacteristic
533C2×C4×D61C2411yescharacteristic
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—44no—
542C2×Dic122C2×D411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—22no—
545SD16×C61—41no—
546D8×C61—22no—
547D8×C61—41no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C42×C61—21no—
571C42×C61C2×D411yescharacteristic
572C42×C61C2×D411yescharacteristic
573C42×C61C2411yescharacteristic
574C42×C61C2411yescharacteristic
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590#11758202—41no—
591#11758201—41no—
592#11758200—41no—
593#11758199—41no—
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#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61C2×D411yescharacteristic
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196C2×D411yescharacteristic
645#11758196C2×D411yescharacteristic
646#11758196C2×D411yescharacteristic
647#11758196C2×D411yescharacteristic
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2×D411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C4×Dic61C2411yescharacteristic
665#11758194—41no—
666#11758194—41no—
667C2×#92418C2411yescharacteristic
668C2×#92418C2411yescharacteristic
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671#11758189—41no—
672#11758189—41no—
673C8×D61—41no—
674C8×D61—41no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—42no—
679C23×C61—42no—
680C23×C61—81no—
681C23×C61C22×D411yescharacteristic
682C22×D61—21no—
683C22×D61—42no—
684C22×D61—42no—
685C22×D61—81no—
686C22×D61C22×D411yescharacteristic
687C22×D61C22×D411yescharacteristic
688Q8×C61—21no—
689Q8×C61—21no—
690D4×C61—21no—
691D4×C61—21no—
692D4×C61—21no—
693D4×C61—21no—
694D4×C61—21no—
695D4×C61—42no—
696D4×C61—81no—
697D4×C612−1+412yes—
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—21no—
705C2×C4×C61—41no—
706C2×C4×C61—41no—
707C2×C4×C61—42no—
708C2×C4×C61—42no—
709C2×C4×C61—42no—
710C2×C4×C61—81no—
711C2×C4×C61—81no—
712C2×C4×C61—81no—
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C2511yescharacteristic
719C22⋊D61—22no—
720C22⋊D61—41no—
721C22⋊D61—42no—
722C22⋊D61—42no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—81no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—42no—
738C2×Dic61—42no—
739C2×Dic61—42no—
740C2×Dic61—42no—
741C2×Dic61—81no—
742C2×Dic61C22×D411yescharacteristic
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748D244—21no—
749D244—21no—
750D244—41no—
751D244—81no—
752C4×D61—21no—
753C4×D61—21no—
754C4×D61—21no—
755C4×D61—21no—
756C4×D61—22no—
757C4×D61—41no—
758C4×D61—41no—
759C4×D61—41no—
760C4×D61—42no—
761C4×D61—81no—
762C4×D61—81no—
763Dic122—22no—
764Dic122—21no—
765Dic122—21no—
766Dic122—42no—
767Dic122—42no—
768Dic122—42no—
769Dic122—81no—
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—22no—
784C22×C61—21no—
785C22×C61—21no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—84no—
795C22×C61C23×D411yescharacteristic
796C2×D61—21no—
797C2×D61—21no—
798C2×D61—21no—
799C2×D61—21no—
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—41no—
803C2×D61—41no—
804C2×D61—41no—
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×C61C2×2−1+411yescharacteristic
817C4×C61#58511yescharacteristic
818Dic61—21no—
819Dic61—21no—
820Dic61—21no—
821Dic61—21no—
822Dic61—21no—
823Dic61—41no—
824Dic61—41no—
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#3240—611no—
854#3228—611no—
855#3114—611no—
856#3114D6111yescharacteristic, complemented
857#3102—611no—
858#3077—611no—
859#3077—611no—
860#3076—611no—
861#2989—611no—
862C2×C61—42no—
863C2×C61—41no—
864C2×C61—81no—
865C2×C61—81no—
866C2×C61#348911yescharacteristic
867C2×C61C2×#57511yescharacteristic
868C2×C61#358511yescharacteristic
869D61—41no—
870D61—41no—
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#533—611no—
902#532—611no—
903#529—611no—
904#529—611no—
905#529—611no—
906#529—611no—
907#529—1221no—
908#529C2×D6111yescharacteristic, complemented
909#525—1221no—
910#525—1221no—
911#519—1221no—
912C4×#41—611no—
913C4×#41—611no—
914C2×C4×D4—611no—
915C2×C4×D4—1221no—
916C2×C4×D4C2×D6111yescharacteristic
917#501—611no—
918#501—611no—
919#501—611no—
920#501—611no—
921#500—611no—
922#498—611no—
923#489—611no—
924#489—611no—
925#489—611no—
926#489—611no—
927#486—611no—
928#486—611no—
929#485—611no—
930#485—611no—
931#485—611no—
932#485—611no—
933#485—611no—
934#483—611no—
935#483C2×D6111yescharacteristic, complemented
936#482—611no—
937#482—611no—
938#482—611no—
939#482—611no—
940#482—611no—
941#482—611no—
942#482—611no—
943#482—611no—
944#482—611no—
945#480—611no—
946#480C2×D6111yescharacteristic, complemented
947#479—611no—
948#479—611no—
949#479—611no—
950#479—611no—
951#479—611no—
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
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#463C2×D6111yescharacteristic
996#463C2×D6111yescharacteristic, complemented
997#460—611no—
998#459—611no—
999#452—611no—
1000#450—611no—
1001#450C2×D6111yescharacteristic
1002#449—611no—
1003#447—611no—
1004#447C2×D6111yescharacteristic
1005#446—611no—
1006#446—611no—
1007#442—611no—
1008#442—611no—
1009#442C2×D6111yescharacteristic
1010#442C2×D6111yescharacteristic, complemented
1011#440—611no—
1012#440—611no—
1013#440C2×D6111yescharacteristic
1014#440C2×D6111yescharacteristic, complemented
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—1221no—
1050C22×D4C22×D6111yescharacteristic
1051C23×C4—21no—
1052C23×C4—1221no—
1053C2×Q16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×D8—611no—
1059C2×D8C22×D6111yescharacteristic
1060C2×D8C22×D6111yescharacteristic
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—611no—
1073C4⋊Q8—611no—
1074C4⋊Q8—1221no—
1075C4⋊Q8—1221no—
1076C4⋊Q8—1221no—
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—611no—
1094#125—611no—
1095#125—1221no—
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—611no—
1123C22⋊Q8—611no—
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
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⋊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—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—1221no—
1168C4×Q8—1221no—
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—21no—
1180C4×D4—21no—
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—1221no—
1194C4×D4—1221no—
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×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209C4×D4C22×D6111yescharacteristic
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—611no—
1221#117—611no—
1222#117—1221no—
1223#117—1221no—
1224#117—1221no—
1225#117—1221no—
1226#117—1221no—
1227#117—1221no—
1228#117—1221no—
1229#117—1221no—
1230C2×C4⋊C4—611no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4—21no—
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#107—611no—
1250#107—611no—
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#106—611no—
1262#106—611no—
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#103—611no—
1282#103—611no—
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#102C22×D6111yescharacteristic
1302#102C22×D6111yescharacteristic
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—21no—
1320C24—1221no—
1321#41—1222no—
1322#41—4882no—
1323#41—2442no—
1324#41—2441no—
1325C2×Q8—611no—
1326C2×Q8—611no—
1327C2×Q8—1221no—
1328C2×Q8—1221no—
1329C2×Q8—1221no—
1330C2×Q8—1221no—
1331C2×Q8—1221no—
1332C2×Q8—1221no—
1333C2×Q8—1221no—
1334C2×Q8—2444no—
1335C2×Q8C23×D6111yescharacteristic
1336C2×D4—22no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—41no—
1340C2×D4—611no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1222no—
1349C2×D4—1221no—
1350C2×D4—1221no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—2441no—
1356C2×D4—2444no—
1357C2×D4C23×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C2×D4C23×D6111yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—82no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—1221no—
1374C22×C4—1221no—
1375C22×C4—1221no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—4882no—
1382C22×C4D4×D6111yescharacteristic
1383C22×C4D4×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385Q16—2441no—
1386SD16—22no—
1387SD16—41no—
1388SD16—2441no—
1389SD16—2441no—
1390D8—22no—
1391D8—41no—
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—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—611no—
1416C4⋊C4—611no—
1417C4⋊C4—611no—
1418C4⋊C4—611no—
1419C4⋊C4—611no—
1420C4⋊C4—611no—
1421C4⋊C4—611no—
1422C4⋊C4—611no—
1423C4⋊C4—611no—
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⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
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—21no—
1460C22⋊C4—21no—
1461C22⋊C4—611no—
1462C22⋊C4—611no—
1463C22⋊C4—611no—
1464C22⋊C4—611no—
1465C22⋊C4—611no—
1466C22⋊C4—611no—
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—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—611no—
1501C42—1221no—
1502C42—1221no—
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—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—81no—
1522C23—611no—
1523C23—611no—
1524C23—1221no—
1525C23—4881no—
1526C23—2442no—
1527C23—2442no—
1528C23C2×D4×D6111yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—1222no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—4881no—
1536Q8—4881no—
1537Q8—4881no—
1538Q8—2442no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—42no—
1547D4—81no—
1548D4—1222no—
1549D4—1221no—
1550D4—1221no—
1551D4—4881no—
1552D4—4881no—
1553D4—4881no—
1554D4—4881no—
1555D4—4881no—
1556D4—2441no—
1557D4—2442no—
1558D4—2441no—
1559D4—2442no—
1560D4—2442no—
1561D4—2442no—
1562D4—2442no—
1563D4#1451982412yes—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—42no—
1574C2×C4—42no—
1575C2×C4—42no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—611no—
1580C2×C4—611no—
1581C2×C4—611no—
1582C2×C4—611no—
1583C2×C4—611no—
1584C2×C4—611no—
1585C2×C4—1222no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—4881no—
1598C2×C4—4881no—
1599C2×C4—4881no—
1600C2×C4—2441no—
1601C2×C4—2441no—
1602C2×C4—2441no—
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—22no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—84no—
1635C22—1221no—
1636C22—1221no—
1637C22—1221no—
1638C22—1221no—
1639C22—1221no—
1640C22—1221no—
1641C22—4884no—
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—612no—
1657C4—1221no—
1658C4—1221no—
1659C4—1221no—
1660C4—1221no—
1661C4—1221no—
1662C4—2441no—
1663C4—2441no—
1664C4—2441no—
1665C4—2441no—
1666C4—2441no—
1667C4—2441no—
1668C4—2441no—
1669C4C2×#1451982411yescharacteristic
1670C4#1684059811yescharacteristic
1671C2—41no—
1672C2—42no—
1673C2—81no—
1674C2—81no—
1675C2—4881no—
1676C2—2441no—
1677C2—2441no—
1678C2#2145949111yescharacteristic
1679C2#575×D6111yescharacteristic
1680C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3114C2
socleC22×C61C23×D4
hypercenter#3114D61
hypocenterC61#62122
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #21459834C2semidirect
2. #21459423C2semidirect
3. #21458730C2semidirect
4. #21458719C2semidirect
5. #21458634C2semidirect
6. #21458612C2semidirect
7. #21458438C2semidirect
8. #21458427C2semidirect
9. #21458369C2semidirect
10. #21458367C2semidirect
11. #21458324C2semidirect
12. #21458322C2semidirect
13. #21458054C2semidirect
14. #21458043C2semidirect
15. #21457980C2semidirect
16. #21457968C2semidirect
17. #21457860C2semidirect
18. #21457848C2semidirect
19. #21457217C2semidirect
20. #21457215C2semidirect
21. #21457142C2semidirect
22. #21457061C2semidirect
23. #21457058C2semidirect
24. #21456954C2semidirect
25. #21455956C2semidirect
26. #21455834C2semidirect
27. #21455616C2semidirect
28. #21455614C2semidirect
29. #21455604C2semidirect
30. #21454938C2semidirect
31. C61×#3114C2semidirect
33. Q8×Dic122C22semidirect
34. #16840485C22semidirect
36. #16840483C22semidirect
40. #16840477C22semidirect
42. #16840476C22semidirect
50. D4×Dic122C22semidirect
59. #16840319C22semidirect
60. #16840318C22semidirect
61. #16840318C22semidirect
66. #16840291C22semidirect
67. #16840291C22semidirect
75. #16840171C22semidirect
76. #16840171C22semidirect
77. #16840170C22semidirect
78. #16840169C22semidirect
79. #16840166C22semidirect
80. #16840159C22semidirect
81. #16840122C22semidirect
82. #16840122C22semidirect
83. #16840120C22semidirect
84. #16840120C22semidirect
87. #16840106C22semidirect
88. #16840105C22semidirect
89. #16840104C22semidirect
90. #16840104C22semidirect
91. #16840102C22semidirect
92. #16840091C22semidirect
93. #16840089C22semidirect
94. #16840088C22semidirect
98. #16840085C22semidirect
99. #16840085C22semidirect
101. #16840084C22semidirect
102. #16840074C22semidirect
103. #16840070C22semidirect
104. #16840070C22semidirect
105. #16840069C22semidirect
106. #16840067C22semidirect
107. #16840066C22semidirect
108. #16840063C22semidirect
109. #16840063C22semidirect
112. #16840062C22semidirect
113. #16840062C22semidirect
114. #16840062C22semidirect
115. #16840060C22semidirect
116. #16840059C22semidirect
117. #16840056C22semidirect
118. #16840055C22semidirect
120. #16840052C22semidirect
121. #16840051C22semidirect
124. #16840050C22semidirect
125. #16840046C22semidirect
127. #16840042C22semidirect
128. #16840041C22semidirect
131. #16840019C22semidirect
132. #16840018C22semidirect
136. #16840007C22semidirect
137. #16840006C22semidirect
139. #16839997C22semidirect
140. #16839995C22semidirect
141. #16839994C22semidirect
142. #16839988C22semidirect
143. #16839984C22semidirect
144. #16839982C22semidirect
145. #16839981C22semidirect
146. #16839977C22semidirect
147. #16839975C22semidirect
148. #16839974C22semidirect
155. #16839890C22semidirect
156. #16839890C22semidirect
158. #16839871C22semidirect
159. #16839865C22semidirect
161. #16839854C22semidirect
162. #16839853C22semidirect
167. #16839836C22semidirect
168. #16839836C22semidirect
169. #16839835C22semidirect
170. #16839835C22semidirect
171. #16839818C22semidirect
172. #16839814C22semidirect
173. #16839803C22semidirect
174. #16839802C22semidirect
175. #16839802C22semidirect
176. #16839801C22semidirect
177. #16839799C22semidirect
178. #16839797C22semidirect
179. #16839786C22semidirect
180. #16839784C22semidirect
181. C4⋊C8×D61C22semidirect
188. C61×#529C22semidirect
190. C61×#483C22semidirect
191. C61×#480C22semidirect
193. C61×#478C22semidirect
195. C61×#463C22semidirect
199. C61×#442C22semidirect
201. C61×#440C22semidirect
202. C61×#432C22semidirect
856. #3114D61semidirect
908. #529C2×D61semidirect
935. #483C2×D61semidirect
946. #480C2×D61semidirect
962. #478C2×D61semidirect
996. #463C2×D61semidirect
1010. #442C2×D61semidirect
1014. #440C2×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
#214598342
#214594232
#214587302
#214587192
#214586342
#214586122
#214584382
#214584272
#214583692
#214583672
#214583242
#214583222
#214580542
#214580432
#214579802
#214579682
#214578602
#214578482
#214572172
#214572152
#214571422
#214570612
#214570582
#214569542
#214559562
#214558342
#214556162
#214556142
#214556042
#214549382
C61×#31142
#6212261