Finite Group Databasebeta

← #30576185

Subgroups — #30576185

Order 15616.

2018 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459598C211yesmaximal, characteristic, complemented
2#21459426C211yesmaximal, characteristic, complemented
3#21458721C211yesmaximal, characteristic, complemented
4#21458715C211yesmaximal, characteristic, complemented
5#21458614C211yesmaximal, characteristic, complemented
6#21458612C211yesmaximal, characteristic, complemented
7#21458292C211yesmaximal, characteristic, complemented
8#21458290C211yesmaximal, characteristic, complemented
9#21458283C211yesmaximal, characteristic, complemented
10#21458174C211yesmaximal, characteristic, complemented
11#21458172C211yesmaximal, characteristic, complemented
12#21457783C211yesmaximal, characteristic, complemented
13#21457782C211yesmaximal, characteristic, complemented
14#21457775C211yesmaximal, characteristic, complemented
15#21457774C211yesmaximal, characteristic, complemented
16#21457630C211yesmaximal, characteristic, complemented
17#21457627C211yesmaximal, characteristic, complemented
18#21457196C211yesmaximal, characteristic, complemented
19#21457144C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21457041C211yesmaximal, characteristic, complemented
22#21457038C211yesmaximal, characteristic, complemented
23#21456945C211yesmaximal, characteristic, complemented
24#21455908C211yesmaximal, characteristic, complemented
25#21455907C211yesmaximal, characteristic, complemented
26#21455874C211yesmaximal, characteristic, complemented
27#21455632C211yesmaximal, characteristic, complemented
28C2×#16840051C211yesmaximal, characteristic, complemented
29#476×D61C211yesmaximal, characteristic, complemented
30#21454939C211yesmaximal, characteristic, complemented
31C61×#3345C211yesmaximal, characteristic, complemented
32C2×#14519824—21no—
33#16840495C2211yescharacteristic
34#16840468C2211yescharacteristic
35#16840467C2211yescharacteristic
36#16840457—21no—
37#16840456C2211yescharacteristic
38#16840441—21no—
39#16840437—21no—
40D4×Dic122C2211yescharacteristic, complemented
41#16840427C2211yescharacteristic, complemented
42#16840425—21no—
43#16840416C2211yescharacteristic, complemented
44#16840413C2211yescharacteristic
45#16840413C2211yescharacteristic, complemented
46#16840412C2211yescharacteristic
47#16840412C2211yescharacteristic, complemented
48#16840411—21no—
49#16840410—21no—
50#16840410—21no—
51#16840409C2211yescharacteristic
52#16840408C2211yescharacteristic
53#16840401—21no—
54#16840396C2211yescharacteristic
55#16840335—21no—
56#16840334—21no—
57#16840334—21no—
58#16840309C2211yescharacteristic, complemented
59#16840307C2211yescharacteristic
60#16840307C2211yescharacteristic, complemented
61#16840307C2211yescharacteristic, complemented
62C2×#14519776C2211yescharacteristic, complemented
63C2×#14519776C2211yescharacteristic, complemented
64C4⋊Q8×D61C2211yescharacteristic, complemented
65#16840297C2211yescharacteristic
66#16840295—21no—
67#16840293C2211yescharacteristic
68#16840272—21no—
69#16840270—21no—
70#16840230C2211yescharacteristic
71C4×#11758224C2211yescharacteristic
72C2×#14519739C2211yescharacteristic
73C4×D4×D61—21no—
74C4×D4×D61C2211yescharacteristic
75#16840172C2211yescharacteristic, complemented
76#16840170C2211yescharacteristic, complemented
77#16840170C2211yescharacteristic, complemented
78#16840159C2211yescharacteristic, complemented
79#16840159C2211yescharacteristic, complemented
80#16840124C2211yescharacteristic, complemented
81#16840122C2211yescharacteristic, complemented
82#16840120C2211yescharacteristic, complemented
83#16840120C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840094C2211yescharacteristic, complemented
87#16840094C2211yescharacteristic, complemented
88#16840093C2211yescharacteristic, complemented
89#16840092C2211yescharacteristic, complemented
90#16840086C2211yescharacteristic, complemented
91#16840082C2211yescharacteristic, complemented
92#16840081C2211yescharacteristic, complemented
93#16840080C2211yescharacteristic, complemented
94#16840080C2211yescharacteristic, complemented
95#16840079C2211yescharacteristic, complemented
96#16840078C2211yescharacteristic, complemented
97#16840077C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840073C2211yescharacteristic
100#16840065C2211yescharacteristic, complemented
101#16840064C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840056C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840056C2211yescharacteristic, complemented
106#16840053C2211yescharacteristic
107#16840052C2211yescharacteristic, complemented
108#16840051C2211yescharacteristic
109#16840051C2211yescharacteristic
110#16840051C2211yescharacteristic
111#16840051C2211yescharacteristic
112#16840051C2211yescharacteristic
113#16840051C2211yescharacteristic, complemented
114#16840051C2211yescharacteristic, complemented
115#16840051C2211yescharacteristic, complemented
116#16840051C2211yescharacteristic, complemented
117#16840051C2211yescharacteristic, complemented
118#16840051C2211yescharacteristic, complemented
119#16840050C2211yescharacteristic, complemented
120#16840050C2211yescharacteristic, complemented
121#16840050C2211yescharacteristic, complemented
122#16840050C2211yescharacteristic, complemented
123#16840049C2211yescharacteristic
124#16840046C2211yescharacteristic, complemented
125#16840046C2211yescharacteristic, complemented
126#16840041C2211yescharacteristic
127#16840041C2211yescharacteristic
128#16840015C2211yescharacteristic, complemented
129#16840013C2211yescharacteristic, complemented
130#16840013C2211yescharacteristic, complemented
131#16839999C2211yescharacteristic
132#16839997C2211yescharacteristic
133#16839996C2211yescharacteristic
134#16839992C2211yescharacteristic, complemented
135#16839991C2211yescharacteristic, complemented
136#16839990C2211yescharacteristic, complemented
137#16839989C2211yescharacteristic, complemented
138#16839978C2211yescharacteristic, complemented
139#16839977C2211yescharacteristic, complemented
140#16839976C2211yescharacteristic, complemented
141#16839975C2211yescharacteristic, complemented
142#16839961C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic
144#16839956C2211yescharacteristic
145#16839956C2211yescharacteristic, complemented
146#16839955C2211yescharacteristic
147#16839955C2211yescharacteristic, complemented
148#16839909C2211yescharacteristic
149#16839905C2211yescharacteristic
150#16839898C2211yescharacteristic
151#16839897C2211yescharacteristic
152#16839895C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839891C2211yescharacteristic, complemented
155#16839890C2211yescharacteristic, complemented
156#16839875C2211yescharacteristic
157#16839873C2211yescharacteristic
158#16839873C2211yescharacteristic, complemented
159#16839872C2211yescharacteristic
160#16839872C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic
162#16839871C2211yescharacteristic, complemented
163#16839853C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165#16839844C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839836C2211yescharacteristic, complemented
168#16839834C2211yescharacteristic, complemented
169#16839831C2211yescharacteristic, complemented
170C8×C22⋊D61C2211yescharacteristic
171#16839825C2211yescharacteristic
172#16839817C2211yescharacteristic, complemented
173#16839816C2211yescharacteristic, complemented
174#16839812C2211yescharacteristic, complemented
175#16839805C2211yescharacteristic, complemented
176C2×#14519708C2211yescharacteristic, complemented
177#106×D61C2211yescharacteristic, complemented
178#106×D61C2211yescharacteristic, complemented
179#16839785C2211yescharacteristic, complemented
180C2×#14519706C2211yescharacteristic, complemented
181C4⋊C8×D61C2211yescharacteristic, complemented
182#16839764C2211yescharacteristic
183#16839761C2211yescharacteristic
184C2×#14519699C2211yescharacteristic
185C2×#14519697C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#547C2211yescharacteristic, complemented
190C61×#501C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#481C2211yescharacteristic, complemented
193C61×#481C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic
195C61×#478C2211yescharacteristic, complemented
196C61×#476C2211yescharacteristic, complemented
197C61×#469C2211yescharacteristic, complemented
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C2×#106×C61C2211yescharacteristic, complemented
203#14519824—48no—
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224D411yescharacteristic
215C22×Dic122—21no—
216C22×Dic122—21no—
217C22×Dic122—21no—
218C2×Q8×D61—21no—
219C2×Q8×D61—21no—
220C22×D244C2311yescharacteristic
221C2×D4×D61—21no—
222C2×D4×D61C2311yescharacteristic
223C22×C4×D61—21no—
224C22×C4×D61—21no—
225C2×#11758190C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×D488C2311yescharacteristic
228C2×D488C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758194C2311yescharacteristic
233C22×#92418C2311yescharacteristic
234C2×C8×D61C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236#14519777C2311yescharacteristic
237#14519776—21no—
238#14519776—21no—
239#14519776—21no—
240#14519776—21no—
241#14519776—21no—
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519776C2311yescharacteristic
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519776C2311yescharacteristic
250#14519775—21no—
251#14519773C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519772—21no—
254#14519771—21no—
255#14519770—21no—
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519765C2311yescharacteristic
259#14519764C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519761—21no—
270#14519761—21no—
271#14519760—21no—
272#14519760—21no—
273#14519760—21no—
274#14519759—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519759—21no—
279#14519758—21no—
280#14519758—21no—
281#14519758—21no—
282#14519757—21no—
283#14519757—21no—
284#14519757C2311yescharacteristic
285#14519756—21no—
286#14519756—21no—
287#14519756C2311yescharacteristic
288#14519755—21no—
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519753—21no—
300#14519752C2311yescharacteristic
301#14519752C2311yescharacteristic
302#14519751C2311yescharacteristic
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519748—21no—
313#14519748C2311yescharacteristic
314#14519747—21no—
315#14519745—21no—
316#14519745—21no—
317#14519745—21no—
318C4×Dic122C2311yescharacteristic
319#14519742D411yescharacteristic
320#14519742C2311yescharacteristic
321#14519742C2311yescharacteristic
322C4×D244—21no—
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325D4×Dic61—21no—
326D4×Dic61D411yescharacteristic
327D4×Dic61C2311yescharacteristic
328D4×Dic61C2311yescharacteristic
329D4×Dic61C2311yescharacteristic
330#14519739—21no—
331#14519739—21no—
332#14519739—21no—
333#14519739C2311yescharacteristic
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337#14519739C2311yescharacteristic
338#14519739C2311yescharacteristic
339#14519739C2311yescharacteristic
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61C2311yescharacteristic
345C4×C22⋊D61C2311yescharacteristic
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519737D411yescharacteristic
353#14519737D411yescharacteristic
354#14519735—21no—
355#14519735D411yescharacteristic
356#14519734—21no—
357#14519733—21no—
358#14519733D411yescharacteristic
359#14519733D411yescharacteristic
360C2×C4⋊Dic61C2311yescharacteristic
361C2×C4⋊Dic61C2311yescharacteristic
362C2×#11758196—21no—
363C2×#11758196—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C2×#11758198—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C2×C4×Dic61C2311yescharacteristic
374C2×C4×Dic61C2311yescharacteristic
375C42×D61—21no—
376C42×D61C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519709C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519708C2311yescharacteristic
384#14519708C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392C4⋊#92418C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519699C2311yescharacteristic
408#14519699C2311yescharacteristic
409#14519699C2311yescharacteristic
410#14519699C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519698C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C2×#41×C61—21no—
437C2×D8×C61C2311yescharacteristic
438C2×M16×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C4⋊Q8×C61C2311yescharacteristic
441#126×C61—21no—
442#125×C61C2311yescharacteristic
443#123×C61—21no—
444#123×C61—21no—
445#123×C61—21no—
446C22⋊Q8×C61—21no—
447#121×C61—21no—
448#121×C61C2311yescharacteristic
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61C2311yescharacteristic
457C2×C4⋊C4×C61C2311yescharacteristic
458C2×C4⋊C4×C61C2311yescharacteristic
459C2×C4⋊C4×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479C23×D61—21no—
480C23×D61—21no—
481#41×C61—44no—
482C2×Q8×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2×D411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
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⋊D61C2×D411yescharacteristic
508C2×C22⋊D61C2×D411yescharacteristic
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518Q8×D61—44no—
519Q8×D61—44no—
520#11758224—24no—
521#11758224—44no—
522#11758224—44no—
523#11758224—44no—
524#11758224—44no—
525#11758224—44no—
526#11758224—82no—
527D4×D61—22no—
528D4×D61—41no—
529D4×D61—44no—
530#11758222—22no—
531#11758222—41no—
532#11758222—44no—
533#11758222—44no—
534#11758222—44no—
535C2×D244—22no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244—21no—
539C2×D244—41no—
540C2×D244C2411yescharacteristic
541C2×D244C2411yescharacteristic
542C2×D244C2411yescharacteristic
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—82no—
557C2×C4×D61—82no—
558C2×C4×D61C2×D411yescharacteristic
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2411yescharacteristic
561C2×Dic122—21no—
562C2×Dic122—21no—
563C2×Dic122—21no—
564C2×Dic122—21no—
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122—21no—
570C2×Dic122—44no—
571C2×Dic122—44no—
572C2×Dic122—44no—
573C2×Dic122C2×D411yescharacteristic
574C2×Dic122C2411yescharacteristic
575D8×C61—41no—
576M16×C61—41no—
577C2×C8×C61—41no—
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
581C2×C8×C61C2411yescharacteristic
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61C2×D411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C4⋊C4×C61C2411yescharacteristic
592C4⋊C4×C61C2411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61C2×D411yescharacteristic
603C22⋊C4×C61C2×D411yescharacteristic
604C42×C61—21no—
605C42×C61C2411yescharacteristic
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615#11758200—41no—
616#11758199—22no—
617#11758199—41no—
618#11758199—41no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61C2×D411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
646C4⋊Dic61C2411yescharacteristic
647C4⋊Dic61C2411yescharacteristic
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196C2×D411yescharacteristic
664#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678#11758194—41no—
679C2×#92418—41no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684D488—22no—
685D488—41no—
686#11758190—41no—
687C8×D61—41no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61C22×D411yescharacteristic
692C23×C61C22×D411yescharacteristic
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—42no—
697C22×D61—42no—
698C22×D61—42no—
699C22×D61—42no—
700C22×D61—81no—
701C22×D61—81no—
702C22×D61C22×D411yescharacteristic
703Q8×C61—42no—
704D4×C61—22no—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—42no—
710D4×C61—42no—
711D4×C61—42no—
712D4×C61—81no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—42no—
724C2×C4×C61—42no—
725C2×C4×C61—42no—
726C2×C4×C61—81no—
727C2×C4×C61—81no—
728C2×C4×C61C22×D411yescharacteristic
729C2×C4×C61C22×D411yescharacteristic
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C2511yescharacteristic
733C22⋊D61—22no—
734C22⋊D61—42no—
735C22⋊D61—42no—
736C22⋊D61—42no—
737C22⋊D61—42no—
738C22⋊D61—42no—
739C22⋊D61—42no—
740C22⋊D61—42no—
741C22⋊D61—42no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C22⋊D61AGL(1,ℤ/8)14yes—
745C2×Dic61—22no—
746C2×Dic61—22no—
747C2×Dic61—22no—
748C2×Dic61—22no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—42no—
755C2×Dic61—42no—
756C2×Dic61—42no—
757C2×Dic61—42no—
758C2×Dic61—42no—
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766D244—21no—
767D244—21no—
768D244—21no—
769D244—21no—
770D244—21no—
771D244—42no—
772D244—42no—
773D244—42no—
774D2442−1+412yescomplemented
775C4×D61—22no—
776C4×D61—21no—
777C4×D61—21no—
778C4×D61—22no—
779C4×D61—42no—
780C4×D61—42no—
781C4×D61—42no—
782C4×D61—42no—
783C4×D61—42no—
784C4×D61—42no—
785C4×D61—42no—
786C4×D61—42no—
787C4×D61—42no—
788C4×D61—81no—
789C4×D61—81no—
790C4×D61—81no—
791C4×D61—81no—
792Dic122—22no—
793Dic122—21no—
794Dic122—21no—
795Dic122—42no—
796Dic122—42no—
797Dic122—42no—
798Dic122—42no—
799Dic122—42no—
800Dic122—42no—
801Dic122—42no—
802Dic122—42no—
803Dic122—81no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807C8×C61—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#92418—21no—
812#62128—611nomaximal, Sylow
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61C2×AGL(1,ℤ/8)12yes—
825C22×C61C23×D411yescharacteristic
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—22no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—84no—
838C2×D61—84no—
839C2×D61C2×AGL(1,ℤ/8)12yes—
840C4×C61—21no—
841C4×C61—21no—
842C4×C61—21no—
843C4×C61—21no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61C2×2−1+411yescharacteristic
851C4×C61#58511yescharacteristic
852Dic61—21no—
853Dic61—21no—
854Dic61—21no—
855Dic61—21no—
856Dic61—21no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61C2×AGL(1,ℤ/8)12yes—
863Dic61#57712yes—
864#3499—611no—
865#3481—611no—
866#3384—611no—
867#3384—611no—
868#3373—611no—
869#3373—611no—
870#3345—611no—
871#3345—611no—
872#3345—611no—
873#3345D6111yescharacteristic, complemented
874#3335—611no—
875#3335—611no—
876#3306—611no—
877#3306—611no—
878#3306—611no—
879#3306—611no—
880#3294—611no—
881#3294—611no—
882#3253—611no—
883#3247—611no—
884#3247—611no—
885#3238—611no—
886#3238—611no—
887#3227—611no—
888#3109—611no—
889#3109—611no—
890#3106—611no—
891#3079—611no—
892C2×#476—611no—
893C2×#476—611no—
894#2990—611no—
895C2×C61—22no—
896C2×C61—41no—
897C2×C61—81no—
898C2×C61—81no—
899C2×C61#348911yescharacteristic
900C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
901C2×C61C2×#57711yescharacteristic
902D61—22no—
903D61—42no—
904D61—81no—
905D61—81no—
906C2×2−1+4—1221no—
907#559—611no—
908#554—611no—
909#554—611no—
910#553—611no—
911#553—1221no—
912#553C2×D6111yescharacteristic
913#551—1221no—
914#551—1221no—
915D4×Q8—611no—
916D4×Q8—611no—
917D4×Q8—1221no—
918#547—611no—
919#547—611no—
920#547—611no—
921#547—611no—
922#547—611no—
923#547—1221no—
924#547—1221no—
925#547—1221no—
926#547C2×D6111yescharacteristic, complemented
927#546—611no—
928#546—611no—
929#546—1221no—
930D42—611no—
931#536—1221no—
932#536—1221no—
933#536—1221no—
934#532—611no—
935#532—611no—
936#532—611no—
937#532—611no—
938C2×C4⋊Q8—611no—
939C2×C4⋊Q8—611no—
940C2×C4⋊Q8—611no—
941#529—611no—
942#529—611no—
943#529—1221no—
944#525—1221no—
945#525—1221no—
946C4×#41—611no—
947C4×#41—611no—
948C2×C4×D4—611no—
949C2×C4×D4—611no—
950C2×C4×D4—1221no—
951#501—611no—
952#501—611no—
953#501—611no—
954#501C2×D6111yescharacteristic, complemented
955#498—611no—
956#498—611no—
957#489—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#486—611no—
962#486—611no—
963#483—611no—
964#483—611no—
965#483—611no—
966#483—611no—
967#482—611no—
968#482C2×D6111yescharacteristic, complemented
969#481—611no—
970#481—611no—
971#481—611no—
972#481—611no—
973#481—611no—
974#481—611no—
975#481C2×D6111yescharacteristic, complemented
976#481C2×D6111yescharacteristic, complemented
977#480—611no—
978#480—611no—
979#480—611no—
980#480C2×D6111yescharacteristic
981#478—611no—
982#478—611no—
983#478—611no—
984#478C2×D6111yescharacteristic, complemented
985#477—611no—
986#477—611no—
987#477—611no—
988#476—611no—
989#476—611no—
990#476—611no—
991#476—611no—
992#476—611no—
993#476—611no—
994#476—611no—
995#476—611no—
996#476—611no—
997#476—611no—
998#476—611no—
999#476—611no—
1000#476—611no—
1001#476—611no—
1002#476—611no—
1003#476—611no—
1004#476—611no—
1005#476—611no—
1006#476C2×D6111yescharacteristic, complemented
1007#475—611no—
1008#475—611no—
1009#474—611no—
1010#474—611no—
1011#469—611no—
1012#469—611no—
1013#469—611no—
1014#469C2×D6111yescharacteristic, complemented
1015#466—611no—
1016#466—611no—
1017#466—611no—
1018#466C2×D6111yescharacteristic
1019#465—611no—
1020#465—611no—
1021#465—611no—
1022#465—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#460—611no—
1028#459—611no—
1029#459—611no—
1030#459—611no—
1031#459—611no—
1032#459—611no—
1033#449—611no—
1034#449—611no—
1035#447—611no—
1036#447—611no—
1037#447—611no—
1038#447—611no—
1039#446—611no—
1040#446—611no—
1041#442—611no—
1042#442—611no—
1043#442—611no—
1044#442—611no—
1045#442—611no—
1046#442—611no—
1047#442—611no—
1048#442C2×D6111yescharacteristic, complemented
1049C4×SD16—611no—
1050C4×SD16—611no—
1051C4×D8—611no—
1052C4×D8—611no—
1053#435—611no—
1054#435—611no—
1055#435—611no—
1056#435C2×D6111yescharacteristic, complemented
1057C8×D4—611no—
1058C8×D4—611no—
1059#432—611no—
1060#432—611no—
1061#431—611no—
1062#428—611no—
1063#428C2×D6111yescharacteristic, complemented
1064C2×#106—611no—
1065C2×#106—611no—
1066C2×#106—611no—
1067C2×#106C2×D6111yescharacteristic, complemented
1068#423—611no—
1069C2×C4⋊C8—611no—
1070C2×C4⋊C8—611no—
1071#417—611no—
1072#417—611no—
1073C2×#102—611no—
1074C2×#102—611no—
1075C2×#102—611no—
1076C2×#102—611no—
1077C61#6212811yescharacteristic, complemented, Sylow
10782−1+4—2448no—
1079C2×#41—21no—
1080C2×#41—611no—
1081C2×#41—611no—
1082C2×#41—1221no—
1083C2×#41—1221no—
1084C2×#41—1221no—
1085C2×#41—1221no—
1086C2×#41—1221no—
1087C2×#41—1221no—
1088C2×#41—1221no—
1089C2×#41—1221no—
1090C2×#41—1221no—
1091C22×Q8—1221no—
1092C22×Q8—1221no—
1093C22×Q8—1221no—
1094C22×Q8—1221no—
1095C22×Q8—1221no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—1221no—
1099C23×C4—1221no—
1100C23×C4—1221no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×D8—611no—
1104C2×D8—611no—
1105C2×D8—611no—
1106C2×D8—611no—
1107C2×D8—611no—
1108C2×D8C22×D6111yescharacteristic
1109C2×M16—611no—
1110C2×M16C22×D6111yescharacteristic
1111C22×C8—611no—
1112C22×C8—611no—
1113C22×C8—611no—
1114C22×C8C22×D6111yescharacteristic
1115C4⋊Q8—611no—
1116C4⋊Q8—611no—
1117C4⋊Q8—611no—
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—611no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8—1221no—
1128C4⋊Q8—1221no—
1129C4⋊Q8—1221no—
1130C4⋊Q8C22×D6111yescharacteristic
1131#127—611no—
1132#127—611no—
1133#126—21no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#125—611no—
1138#125—1221no—
1139#125C22×D6111yescharacteristic
1140#124—611no—
1141#124—611no—
1142#124—1221no—
1143#124—1221no—
1144#124—1221no—
1145#124—1221no—
1146#124—1221no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153#123—1221no—
1154#123—1221no—
1155#123—1221no—
1156#123—1221no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162#123—1221no—
1163#123—1221no—
1164#123—1221no—
1165#123—1221no—
1166#123—1221no—
1167C22⋊Q8—21no—
1168C22⋊Q8—611no—
1169C22⋊Q8—611no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8—1221no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8—1221no—
1176C22⋊Q8—1221no—
1177C22⋊Q8—1221no—
1178C22⋊Q8—1221no—
1179C22⋊Q8—1221no—
1180C22⋊Q8—1221no—
1181C22⋊Q8—1221no—
1182C22⋊Q8—1221no—
1183C22⋊Q8—1221no—
1184C22⋊Q8—1221no—
1185C22⋊Q8—1221no—
1186#121—21no—
1187#121—611no—
1188#121—611no—
1189#121—611no—
1190#121—611no—
1191#121—611no—
1192#121—611no—
1193#121—1221no—
1194#121—1221no—
1195#121—1221no—
1196#121—1221no—
1197#121—1221no—
1198#121—1221no—
1199#121—1221no—
1200#121—1221no—
1201#121C22×D6111yescharacteristic
1202#121C22×D6111yescharacteristic
1203#121C22×D6111yescharacteristic
1204#121C22×D6111yescharacteristic
1205#120—1221no—
1206#120—1221no—
1207#120—1221no—
1208#120—1221no—
1209C4×Q8—611no—
1210C4×Q8—611no—
1211C4×Q8—611no—
1212C4×Q8—611no—
1213C4×D4—21no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—611no—
1218C4×D4—611no—
1219C4×D4—611no—
1220C4×D4—611no—
1221C4×D4—611no—
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—611no—
1230C4×D4—611no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4—1221no—
1238C4×D4—1221no—
1239C4×D4—1221no—
1240C4×D4—1221no—
1241C4×D4—1221no—
1242C4×D4—1221no—
1243C4×D4—1221no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4C22×D6111yescharacteristic
1247C4×D4C22×D6111yescharacteristic
1248C4×D4C22×D6111yescharacteristic
1249#117—611no—
1250#117—611no—
1251#117—611no—
1252#117—1221no—
1253#117—1221no—
1254#117—1221no—
1255#117C22×D6111yescharacteristic
1256C2×C4⋊C4—611no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4—611no—
1260C2×C4⋊C4—611no—
1261C2×C4⋊C4—1221no—
1262C2×C4⋊C4—1221no—
1263C2×C4⋊C4—1221no—
1264C2×C4⋊C4—1221no—
1265C2×C4⋊C4C22×D6111yescharacteristic
1266C2×C4⋊C4C22×D6111yescharacteristic
1267C2×C4⋊C4C22×D6111yescharacteristic
1268C2×C22⋊C4—1221no—
1269C2×C22⋊C4—1221no—
1270C2×C22⋊C4—1221no—
1271C2×C22⋊C4—1221no—
1272C2×C42—611no—
1273C2×C42—611no—
1274C2×C42—611no—
1275C2×C42—1221no—
1276#107—611no—
1277#107—611no—
1278#107—611no—
1279#107C22×D6111yescharacteristic
1280#107C22×D6111yescharacteristic
1281#107C22×D6111yescharacteristic
1282#106—611no—
1283#106—611no—
1284#106—611no—
1285#106—611no—
1286#106—611no—
1287#106—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106C22×D6111yescharacteristic
1295#106C22×D6111yescharacteristic
1296#106C22×D6111yescharacteristic
1297#106C22×D6111yescharacteristic
1298#106C22×D6111yescharacteristic
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102—611no—
1327#102—611no—
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102C22×D6111yescharacteristic
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—1221no—
1355C24—1221no—
1356#41—44no—
1357#41—1222no—
1358#41—1224no—
1359#41—4882no—
1360#41—2441no—
1361#41—2444no—
1362#41—2444no—
1363#41—2444no—
1364#41—2444no—
1365#41—2444no—
1366#41—2444no—
1367#41—2444no—
1368#41—2444no—
1369C2×Q8—21no—
1370C2×Q8—611no—
1371C2×Q8—611no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1221no—
1376C2×Q8—1221no—
1377C2×Q8—1221no—
1378C2×Q8—1221no—
1379C2×Q8—1221no—
1380C2×Q8—1221no—
1381C2×Q8—2444no—
1382C2×Q8—2444no—
1383C2×Q8—2444no—
1384C2×Q8—2444no—
1385C2×Q8—2444no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—611no—
1391C2×D4—611no—
1392C2×D4—611no—
1393C2×D4—611no—
1394C2×D4—611no—
1395C2×D4—1222no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1222no—
1404C2×D4—1221no—
1405C2×D4—1221no—
1406C2×D4—1221no—
1407C2×D4—1221no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—2441no—
1411C2×D4—2441no—
1412C2×D4—2444no—
1413C2×D4D4×D6111yescharacteristic
1414C2×D4C23×D6111yescharacteristic
1415C2×D4C23×D6111yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—611no—
1422C22×C4—611no—
1423C22×C4—611no—
1424C22×C4—611no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—611no—
1428C22×C4—1221no—
1429C22×C4—1221no—
1430C22×C4—1221no—
1431C22×C4—1221no—
1432C22×C4—1221no—
1433C22×C4—1221no—
1434C22×C4—1221no—
1435C22×C4—1221no—
1436C22×C4—1221no—
1437C22×C4—1221no—
1438C22×C4—1221no—
1439C22×C4—1221no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—4882no—
1447C22×C4—4882no—
1448C22×C4C23×D6111yescharacteristic
1449C22×C4C23×D6111yescharacteristic
1450SD16—2441no—
1451SD16—2441no—
1452D8—41no—
1453D8—1222no—
1454D8—1222no—
1455D8—2441no—
1456D8—2441no—
1457D8—2441no—
1458M16—41no—
1459M16—2441no—
1460C2×C8—41no—
1461C2×C8—611no—
1462C2×C8—611no—
1463C2×C8—611no—
1464C2×C8—611no—
1465C2×C8—2441no—
1466C2×C8—2441no—
1467C2×C8—2441no—
1468C2×C8C23×D6111yescharacteristic
1469C2×C8C23×D6111yescharacteristic
1470C2×C8C23×D6111yescharacteristic
1471C2×C8C23×D6111yescharacteristic
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—611no—
1484C4⋊C4—611no—
1485C4⋊C4—611no—
1486C4⋊C4—611no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4D4×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C4⋊C4C23×D6111yescharacteristic
1510C4⋊C4C23×D6111yescharacteristic
1511C4⋊C4C23×D6111yescharacteristic
1512C4⋊C4C23×D6111yescharacteristic
1513C4⋊C4C23×D6111yescharacteristic
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4D4×D6111yescharacteristic
1550C22⋊C4D4×D6111yescharacteristic
1551C42—21no—
1552C42—611no—
1553C42—611no—
1554C42—611no—
1555C42—611no—
1556C42—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—1221no—
1562C42—1221no—
1563C42C23×D6111yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—611no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—4881no—
1571C23—4881no—
1572C23—2442no—
1573C23—2442no—
1574C23—2442no—
1575C23—2442no—
1576C23C2×D4×D6111yescharacteristic
1577C23C2×D4×D6111yescharacteristic
1578Q8—42no—
1579Q8—1222no—
1580Q8—1221no—
1581Q8—1221no—
1582Q8—4881no—
1583Q8—2442no—
1584Q8—2442no—
1585Q8—2442no—
1586Q8—2442no—
1587Q8—2442no—
1588Q8—2442no—
1589Q8—2442no—
1590Q8—2442no—
1591D4—22no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—614no—
1601D4—612no—
1602D4—1222no—
1603D4—1221no—
1604D4—1221no—
1605D4—1221no—
1606D4—1221no—
1607D4—1221no—
1608D4—4881no—
1609D4—4881no—
1610D4—2442no—
1611D4—2442no—
1612D4—2442no—
1613D4—2442no—
1614D4—2442no—
1615D4—2442no—
1616D4—2442no—
1617D4—2442no—
1618D4—2442no—
1619D4—2442no—
1620D4—2442no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—42no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—81no—
1635C2×C4—81no—
1636C2×C4—611no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—1222no—
1644C2×C4—1222no—
1645C2×C4—1222no—
1646C2×C4—1222no—
1647C2×C4—1222no—
1648C2×C4—1222no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—2442no—
1661C2×C4—2442no—
1662C2×C4—2442no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4—2442no—
1668C2×C4—2442no—
1669C2×C4—2442no—
1670C2×C4—2442no—
1671C2×C4—2442no—
1672C2×C4—2442no—
1673C2×C4—2442no—
1674C2×C4C2×D4×D6111yescharacteristic
1675C2×C4C2×D4×D6111yescharacteristic
1676C2×C4C2×D4×D6111yescharacteristic
1677C2×C4C2×D4×D6111yescharacteristic
1678C2×C4C24×D6111yescharacteristic
1679C8—21no—
1680C8—21no—
1681C8—21no—
1682C8—21no—
1683C8—1221no—
1684C8—1221no—
1685C8—1221no—
1686C8—1221no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—612no—
1699C22—1221no—
1700C22—1221no—
1701C22—1222no—
1702C22—4884no—
1703C22—4884no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22AGL(1,ℤ/8)×D6112yes—
1713C22C22×D4×D6111yescharacteristic
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—612no—
1725C4—612no—
1726C4—1221no—
1727C4—1221no—
1728C4—1221no—
1729C4—1221no—
1730C4—1221no—
1731C4—2441no—
1732C4—2441no—
1733C4—2441no—
1734C4—2441no—
1735C4—2441no—
1736C42−1+4×D6111yescharacteristic
1737C4#1684059811yescharacteristic
1738C2—22no—
1739C2—41no—
1740C2—81no—
1741C2—81no—
1742C2—1222no—
1743C2—4881no—
1744C2—4881no—
1745C2—2442no—
1746C2#2145949311yescharacteristic
1747C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1748C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3345C2
socleC22×C61C23×D4
hypercenter#3345D61
hypocenterC61#62128
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #21459598C2semidirect
2. #21459426C2semidirect
3. #21458721C2semidirect
4. #21458715C2semidirect
5. #21458614C2semidirect
6. #21458612C2semidirect
7. #21458292C2semidirect
8. #21458290C2semidirect
9. #21458283C2semidirect
10. #21458174C2semidirect
11. #21458172C2semidirect
12. #21457783C2semidirect
13. #21457782C2semidirect
14. #21457775C2semidirect
15. #21457774C2semidirect
16. #21457630C2semidirect
17. #21457627C2semidirect
18. #21457196C2semidirect
19. #21457144C2semidirect
20. #21457138C2semidirect
21. #21457041C2semidirect
22. #21457038C2semidirect
23. #21456945C2semidirect
24. #21455908C2semidirect
25. #21455907C2semidirect
26. #21455874C2semidirect
27. #21455632C2semidirect
28. C2×#16840051C2semidirect
29. #476×D61C2semidirect
30. #21454939C2semidirect
31. C61×#3345C2semidirect
40. D4×Dic122C22semidirect
41. #16840427C22semidirect
43. #16840416C22semidirect
45. #16840413C22semidirect
47. #16840412C22semidirect
58. #16840309C22semidirect
60. #16840307C22semidirect
61. #16840307C22semidirect
62. C2×#14519776C22semidirect
63. C2×#14519776C22semidirect
64. C4⋊Q8×D61C22semidirect
75. #16840172C22semidirect
76. #16840170C22semidirect
77. #16840170C22semidirect
78. #16840159C22semidirect
79. #16840159C22semidirect
80. #16840124C22semidirect
81. #16840122C22semidirect
82. #16840120C22semidirect
83. #16840120C22semidirect
86. #16840094C22semidirect
87. #16840094C22semidirect
88. #16840093C22semidirect
89. #16840092C22semidirect
90. #16840086C22semidirect
91. #16840082C22semidirect
92. #16840081C22semidirect
93. #16840080C22semidirect
94. #16840080C22semidirect
95. #16840079C22semidirect
96. #16840078C22semidirect
100. #16840065C22semidirect
101. #16840064C22semidirect
102. #16840059C22semidirect
103. #16840056C22semidirect
104. #16840056C22semidirect
105. #16840056C22semidirect
107. #16840052C22semidirect
113. #16840051C22semidirect
114. #16840051C22semidirect
115. #16840051C22semidirect
116. #16840051C22semidirect
117. #16840051C22semidirect
118. #16840051C22semidirect
119. #16840050C22semidirect
120. #16840050C22semidirect
121. #16840050C22semidirect
122. #16840050C22semidirect
124. #16840046C22semidirect
125. #16840046C22semidirect
128. #16840015C22semidirect
129. #16840013C22semidirect
130. #16840013C22semidirect
134. #16839992C22semidirect
135. #16839991C22semidirect
136. #16839990C22semidirect
137. #16839989C22semidirect
138. #16839978C22semidirect
139. #16839977C22semidirect
140. #16839976C22semidirect
141. #16839975C22semidirect
142. #16839961C22semidirect
145. #16839956C22semidirect
147. #16839955C22semidirect
154. #16839891C22semidirect
155. #16839890C22semidirect
158. #16839873C22semidirect
160. #16839872C22semidirect
162. #16839871C22semidirect
163. #16839853C22semidirect
164. #16839849C22semidirect
167. #16839836C22semidirect
168. #16839834C22semidirect
169. #16839831C22semidirect
172. #16839817C22semidirect
173. #16839816C22semidirect
174. #16839812C22semidirect
175. #16839805C22semidirect
176. C2×#14519708C22semidirect
177. #106×D61C22semidirect
178. #106×D61C22semidirect
179. #16839785C22semidirect
180. C2×#14519706C22semidirect
181. C4⋊C8×D61C22semidirect
189. C61×#547C22semidirect
190. C61×#501C22semidirect
191. C61×#482C22semidirect
192. C61×#481C22semidirect
193. C61×#481C22semidirect
195. C61×#478C22semidirect
196. C61×#476C22semidirect
197. C61×#469C22semidirect
199. C61×#442C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C2×#106×C61C22semidirect
774. D2442−1+4semidirect
873. #3345D61semidirect
926. #547C2×D61semidirect
954. #501C2×D61semidirect
968. #482C2×D61semidirect
975. #481C2×D61semidirect
976. #481C2×D61semidirect
984. #478C2×D61semidirect
1006. #476C2×D61semidirect
1014. #469C2×D61semidirect
1048. #442C2×D61semidirect
1056. #435C2×D61semidirect
1063. #428C2×D61semidirect
1067. C2×#106C2×D61semidirect
1077. C61#62128semidirect

Maximal subgroups

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

subgroupindex
#214595982
#214594262
#214587212
#214587152
#214586142
#214586122
#214582922
#214582902
#214582832
#214581742
#214581722
#214577832
#214577822
#214577752
#214577742
#214576302
#214576272
#214571962
#214571442
#214571382
#214570412
#214570382
#214569452
#214559082
#214559072
#214558742
#214556322
C2×#168400512
#476×D612
#214549392
C61×#33452
#6212861