Finite Group Databasebeta

← #30575805

Subgroups — #30575805

Order 15616.

1948 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459598C211yesmaximal, characteristic, complemented
2#21459409C211yesmaximal, characteristic, complemented
3#21458743C211yesmaximal, characteristic, complemented
4#21458741C211yesmaximal, characteristic, complemented
5#21458608C211yesmaximal, characteristic, complemented
6#21458606C211yesmaximal, characteristic, complemented
7#21458398C211yesmaximal, characteristic, complemented
8#21458396C211yesmaximal, characteristic, complemented
9#21458295C211yesmaximal, characteristic, complemented
10#21458293C211yesmaximal, characteristic, complemented
11#21458291C211yesmaximal, characteristic, complemented
12#21458289C211yesmaximal, characteristic, complemented
13#21458142C211yesmaximal, characteristic, complemented
14#21458139C211yesmaximal, characteristic, complemented
15#21457814C211yesmaximal, characteristic, complemented
16#21457810C211yesmaximal, characteristic, complemented
17#21457806C211yesmaximal, characteristic, complemented
18#21457178C211yesmaximal, characteristic, complemented
19#21457176C211yesmaximal, characteristic, complemented
20#21457125C211yesmaximal, characteristic, complemented
21#21457052C211yesmaximal, characteristic, complemented
22#21457045C211yesmaximal, characteristic, complemented
23#21456938C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455963C211yesmaximal, characteristic, complemented
26#21455845C211yesmaximal, characteristic, complemented
27#21455633C211yesmaximal, characteristic, complemented
28#21455630C211yesmaximal, characteristic, complemented
29C2×#16840045C211yesmaximal, characteristic, complemented
30#21454931C211yesmaximal, characteristic, complemented
31C61×#3308C211yesmaximal, characteristic, complemented
32C2×#14519824—21no—
33#16840494—21no—
34#16840494C2211yescharacteristic
35#16840488C2211yescharacteristic
36#16840483—21no—
37#16840483C2211yescharacteristic
38#16840464—21no—
39#16840464C2211yescharacteristic
40#16840458—21no—
41#16840458C2211yescharacteristic
42#16840431C2211yescharacteristic
43D4×Dic122C2211yescharacteristic
44#16840427C2211yescharacteristic
45#16840425—21no—
46#16840423C2211yescharacteristic
47#16840416C2211yescharacteristic
48#16840413C2211yescharacteristic
49#16840413C2211yescharacteristic
50#16840412C2211yescharacteristic
51#16840412C2211yescharacteristic
52#16840411—21no—
53#16840410—21no—
54#16840410—21no—
55#16840335—21no—
56#16840334—21no—
57#16840334—21no—
58#16840309C2211yescharacteristic
59#16840307—21no—
60#16840307C2211yescharacteristic
61#16840307C2211yescharacteristic
62#16840307C2211yescharacteristic
63C2×#14519776C2211yescharacteristic
64C2×#14519776C2211yescharacteristic
65C4⋊Q8×D61C2211yescharacteristic
66#16840298—21no—
67#16840298C2211yescharacteristic
68#16840291—21no—
69#16840291C2211yescharacteristic
70#41×Dic61C2211yescharacteristic
71C4×#11758226C2211yescharacteristic
72C4×#11758224—21no—
73C4×#11758224C2211yescharacteristic
74C2×Q8×Dic61C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840166C2211yescharacteristic
81#16840123C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840121C2211yescharacteristic
84#16840107C2211yescharacteristic
85#16840107C2211yescharacteristic
86#16840096C2211yescharacteristic
87#16840096C2211yescharacteristic
88#16840095C2211yescharacteristic
89#16840089C2211yescharacteristic
90#16840087C2211yescharacteristic
91#16840085C2211yescharacteristic
92#16840083C2211yescharacteristic
93#16840081C2211yescharacteristic
94#16840081C2211yescharacteristic
95#16840080C2211yescharacteristic
96#16840079C2211yescharacteristic
97#16840079C2211yescharacteristic
98#16840078C2211yescharacteristic
99#16840076C2211yescharacteristic
100#16840075C2211yescharacteristic
101#16840073C2211yescharacteristic
102#16840065C2211yescharacteristic
103#16840064C2211yescharacteristic
104#16840063C2211yescharacteristic
105#16840062C2211yescharacteristic
106#16840057C2211yescharacteristic
107#16840055C2211yescharacteristic
108#16840055C2211yescharacteristic
109#16840053C2211yescharacteristic
110#16840050C2211yescharacteristic
111#16840050C2211yescharacteristic
112#16840049C2211yescharacteristic
113#16840045C2211yescharacteristic
114#16840045C2211yescharacteristic
115#16840045C2211yescharacteristic
116#16840045C2211yescharacteristic
117#16840045C2211yescharacteristic
118#16840045C2211yescharacteristic
119#16840045C2211yescharacteristic
120#16840045C2211yescharacteristic
121#16840045C2211yescharacteristic
122#16840045C2211yescharacteristic
123#16840041C2211yescharacteristic
124#16840041C2211yescharacteristic
125#16840041C2211yescharacteristic
126#16840041C2211yescharacteristic
127#16840040C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840015C2211yescharacteristic
132#16840014C2211yescharacteristic
133#16840013C2211yescharacteristic
134#16840012C2211yescharacteristic
135#16840011C2211yescharacteristic
136#16840010C2211yescharacteristic
137#16840005C2211yescharacteristic
138#16839998C2211yescharacteristic
139#16839996C2211yescharacteristic
140#16839996C2211yescharacteristic
141#16839980C2211yescharacteristic
142#16839979C2211yescharacteristic
143#16839974C2211yescharacteristic
144#16839960C2211yescharacteristic
145#16839960C2211yescharacteristic
146#16839956C2211yescharacteristic
147#16839956C2211yescharacteristic
148#16839955C2211yescharacteristic
149#16839955C2211yescharacteristic
150#16839910C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839906C2211yescharacteristic
153#16839901C2211yescharacteristic
154#16839891C2211yescharacteristic
155#16839890C2211yescharacteristic
156#16839875C2211yescharacteristic
157#16839874C2211yescharacteristic
158#16839872C2211yescharacteristic
159#16839871C2211yescharacteristic
160#16839865C2211yescharacteristic
161#16839863C2211yescharacteristic
162#16839860C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164SD16×Dic61C2211yescharacteristic
165#16839847C2211yescharacteristic
166#16839847C2211yescharacteristic
167#16839838C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839834C2211yescharacteristic
170#16839833C2211yescharacteristic
171#16839830C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839816C2211yescharacteristic
174#16839812C2211yescharacteristic
175#16839804C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839803C2211yescharacteristic
178#16839802C2211yescharacteristic
179C2×#14519709C2211yescharacteristic
180C2×#14519708C2211yescharacteristic
181#16839785C2211yescharacteristic
182#16839784C2211yescharacteristic
183C2×#14519706C2211yescharacteristic
184#16839763C2211yescharacteristic
185#16839762C2211yescharacteristic
186#16839762C2211yescharacteristic
187C2×#14519701C2211yescharacteristic
188C61×#548C2211yescharacteristic
189C61×#547C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#484C2211yescharacteristic
192C61×#480C2211yescharacteristic
193C61×#477C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#466C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#448C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#417C2211yescharacteristic
202C2×#103×C61C2211yescharacteristic
203#14519824—48no—
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
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—
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×D488C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224C2×#11758199C2311yescharacteristic
225C2×#11758194C2311yescharacteristic
226C2×#11758189C2311yescharacteristic
227C2×#11758189C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229#14519777C2311yescharacteristic
230#14519776—21no—
231#14519776—21no—
232#14519776—21no—
233#14519776—21no—
234#14519776—21no—
235#14519776—21no—
236#14519776C2311yescharacteristic
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519775—21no—
245#14519773—21no—
246#14519773C2311yescharacteristic
247#14519773C2311yescharacteristic
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519769—21no—
255#14519769C2311yescharacteristic
256#14519768—21no—
257#14519768C2311yescharacteristic
258#14519766—21no—
259#14519766C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519762—21no—
267#14519762—21no—
268#14519761—21no—
269#14519761—21no—
270#14519761—21no—
271#14519761—21no—
272#14519761—21no—
273#14519760—21no—
274#14519760—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519758—21no—
281#14519758—21no—
282#14519757—21no—
283#14519756—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755—21no—
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519753—21no—
293#14519753—21no—
294#14519753C2311yescharacteristic
295#14519752C2311yescharacteristic
296#14519751—21no—
297#14519751—21no—
298#14519751C2311yescharacteristic
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519751C2311yescharacteristic
302#14519750—21no—
303#14519749—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519748—21no—
309#14519748C2311yescharacteristic
310#14519748C2311yescharacteristic
311Q8×Dic61—21no—
312Q8×Dic61—21no—
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318C4×Dic122—21no—
319C4×Dic122C2311yescharacteristic
320#14519742—21no—
321#14519742D411yescharacteristic
322C4×D244—21no—
323C4×D244C2311yescharacteristic
324C4×D244C2311yescharacteristic
325D4×Dic61—21no—
326D4×Dic61—21no—
327D4×Dic61—21no—
328D4×Dic61D411yescharacteristic
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332D4×Dic61C2311yescharacteristic
333#14519739—21no—
334#14519739C2311yescharacteristic
335#14519739C2311yescharacteristic
336#14519739C2311yescharacteristic
337C4×C22⋊D61—21no—
338C4×C22⋊D61—21no—
339C4×C22⋊D61—21no—
340C4×C22⋊D61C2311yescharacteristic
341C4×C22⋊D61C2311yescharacteristic
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737D411yescharacteristic
350#14519737D411yescharacteristic
351#14519736—21no—
352#14519736C2311yescharacteristic
353#14519735—21no—
354#14519735—21no—
355#14519735D411yescharacteristic
356#14519735C2311yescharacteristic
357#14519733—21no—
358#14519733D411yescharacteristic
359#14519733D411yescharacteristic
360C2×C4⋊Dic61—21no—
361C2×C4⋊Dic61C2311yescharacteristic
362C2×C4⋊Dic61C2311yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×#11758196—21no—
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C4⋊C4×D61C2311yescharacteristic
369C2×C4×Dic61—21no—
370C2×C4×Dic61—21no—
371C2×C4×Dic61C2311yescharacteristic
372C2×C4×Dic61C2311yescharacteristic
373C42×D61—21no—
374C42×D61C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
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×#41×C61C2311yescharacteristic
438C22×Q8×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C2×M16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448#123×C61—21no—
449C22⋊Q8×C61—21no—
450C22⋊Q8×C61—21no—
451C22⋊Q8×C61C2311yescharacteristic
452#121×C61—21no—
453#121×C61C2311yescharacteristic
454#121×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61—21no—
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476C22⋊C8×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#41×C61—22no—
480#41×C61—41no—
481#41×C61—44no—
482C2×Q8×C61—21no—
483C2×Q8×C61—21no—
484C2×Q8×C61—22no—
485C2×Q8×C61—41no—
486C2×Q8×C61C2411yescharacteristic
487C2×Q8×C61C2411yescharacteristic
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61C2×D411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C2×D4×C61C2411yescharacteristic
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61C2×D411yescharacteristic
513C2×C22⋊D61C2×D411yescharacteristic
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61C2×D411yescharacteristic
522C22×Dic61C2×D411yescharacteristic
523C22×Dic61C2×D411yescharacteristic
524C22×Dic61C2×D411yescharacteristic
525#11758226—22no—
526#11758226—41no—
527Q8×D61—44no—
528Q8×D61—44no—
529#11758224—24no—
530#11758224—44no—
531#11758224—44no—
532#11758224—44no—
533#11758224—44no—
534#11758224—44no—
535#11758224—44no—
536#11758222—44no—
537#11758222—44no—
538#11758222—44no—
539C2×D244—21no—
540C2×D244—21no—
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×D61C2×D411yescharacteristic
552C2×C4×D61C2×D411yescharacteristic
553C2×C4×D61C2411yescharacteristic
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122—21no—
562C2×Dic122—21no—
563C2×Dic122—44no—
564C2×Dic122—44no—
565C2×Dic122—44no—
566C2×Dic122C2×D411yescharacteristic
567SD16×C61—22no—
568SD16×C61—41no—
569D8×C61—41no—
570M16×C61—41no—
571C2×C8×C61—41no—
572C2×C8×C61C2411yescharacteristic
573C2×C8×C61C2411yescharacteristic
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61C2×D411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61C2×D411yescharacteristic
594C22⋊C4×C61C2×D411yescharacteristic
595C42×C61—21no—
596C42×C61C2411yescharacteristic
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61C2×D411yescharacteristic
605C22⋊Dic61C2×D411yescharacteristic
606#11758201—22no—
607#11758201—41no—
608#11758199—41no—
609#11758199—41no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61—21no—
635C4⋊Dic61—21no—
636C4⋊Dic61C2×D411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
640C4⋊Dic61C2411yescharacteristic
641C4⋊Dic61C2411yescharacteristic
642C4⋊Dic61C2411yescharacteristic
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
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#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2411yescharacteristic
675C4×Dic61C2411yescharacteristic
676C4×Dic61C2411yescharacteristic
677#11758194—41no—
678C2×#92418—41no—
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683D488—41no—
684#11758189—41no—
685#11758189—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61C22×D411yescharacteristic
689C23×C61C22×D411yescharacteristic
690C22×D61—21no—
691C22×D61—21no—
692C22×D61C22×D411yescharacteristic
693Q8×C61—21no—
694Q8×C61—21no—
695Q8×C61—21no—
696Q8×C61—42no—
697Q8×C61—42no—
698Q8×C612−1+412yescomplemented
699D4×C61—22no—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—42no—
705D4×C61—42no—
706D4×C61—42no—
707D4×C61—42no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—42no—
719C2×C4×C61—42no—
720C2×C4×C61—42no—
721C2×C4×C61—42no—
722C2×C4×C61—42no—
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C2511yescharacteristic
728C22⋊D61—22no—
729C22⋊D61—22no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—42no—
734C22⋊D61—42no—
735C22⋊D61—42no—
736C22⋊D61—42no—
737C22⋊D61—81no—
738C22⋊D61—81no—
739C22⋊D61—81no—
740C2×Dic61—22no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—41no—
748C2×Dic61—41no—
749C2×Dic61—42no—
750C2×Dic61—42no—
751C2×Dic61—42no—
752C2×Dic61—42no—
753C2×Dic61—42no—
754C2×Dic61—81no—
755C2×Dic61—81no—
756C2×Dic61AGL(1,ℤ/8)14yes—
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764D244—21no—
765D244—21no—
766D244—21no—
767D244—21no—
768D244—42no—
769D244—42no—
770C4×D61—21no—
771C4×D61—21no—
772C4×D61—22no—
773C4×D61—41no—
774C4×D61—42no—
775C4×D61—42no—
776C4×D61—42no—
777C4×D61—42no—
778C4×D61—42no—
779C4×D61—42no—
780C4×D61—42no—
781C4×D61—81no—
782Dic122—22no—
783Dic122—42no—
784Dic122—42no—
785Dic122—42no—
786Dic122—42no—
787Dic122—42no—
788Dic122—42no—
789Dic122—42no—
790Dic122—42no—
791Dic122—42no—
792C8×C61—21no—
793C8×C61—21no—
794C8×C61—21no—
795C8×C61—21no—
796#92418—21no—
797#92418—21no—
798#92418—21no—
799#92418—21no—
800#62111—611nomaximal, Sylow
801C22×C61—21no—
802C22×C61—21no—
803C22×C61—21no—
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61C2×AGL(1,ℤ/8)12yes—
813C22×C61C23×D411yescharacteristic
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C4×C61—21no—
824C4×C61—22no—
825C4×C61—21no—
826C4×C61—21no—
827C4×C61—21no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61C2×2−1+411yescharacteristic
834C4×C61#58511yescharacteristic
835Dic61—21no—
836Dic61—21no—
837Dic61—21no—
838Dic61—21no—
839Dic61—21no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61C2×AGL(1,ℤ/8)12yes—
847Dic61C2×AGL(1,ℤ/8)12yes—
848#3499—611no—
849#3480—611no—
850#3386—611no—
851#3386—611no—
852#3373—611no—
853#3373—611no—
854#3353—611no—
855#3353—611no—
856#3345—611no—
857#3345—611no—
858#3345—611no—
859#3345—611no—
860#3332—611no—
861#3332—611no—
862#3308—611no—
863#3308—611no—
864#3308—611no—
865#3308D6111yescharacteristic, complemented
866#3251—611no—
867#3251—611no—
868#3245—611no—
869#3239—611no—
870#3239—611no—
871#3226—611no—
872#3115—611no—
873#3115—611no—
874#3103—611no—
875#3079—611no—
876#3079—611no—
877C2×#475—611no—
878#2989—611no—
879C2×C61—22no—
880C2×C61—41no—
881C2×C61—81no—
882C2×C61—81no—
883C2×C61#348911yescharacteristic
884C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
885C2×C61#358611yescharacteristic
886D61—41no—
887D61—81no—
888D61—81no—
889C2×2−1+4—1221no—
890#559—611no—
891#559—1221no—
892#557—611no—
893#556—611no—
894#556—1221no—
895#553—611no—
896#553—611no—
897#553—1221no—
898#553—1221no—
899#550—611no—
900D4×Q8—611no—
901D4×Q8—611no—
902D4×Q8—1221no—
903#548—611no—
904#548C2×D6111yescharacteristic
905#547—611no—
906#547—611no—
907#547—611no—
908#547—611no—
909#547—611no—
910#547—1221no—
911#547—1221no—
912#547—1221no—
913#547C2×D6111yescharacteristic
914#536—1221no—
915#536—1221no—
916#536—1221no—
917#532—611no—
918#532—611no—
919#532—611no—
920#532—611no—
921#532—1221no—
922C2×C4⋊Q8—611no—
923C2×C4⋊Q8—611no—
924C2×C4⋊Q8—611no—
925#529—611no—
926#529—611no—
927#529—1221no—
928#529—1221no—
929C4×#41—611no—
930C4×#41—611no—
931C4×#41—611no—
932C4×#41—1221no—
933C2×C4×Q8—611no—
934#501—611no—
935#501—611no—
936#501—611no—
937#501—611no—
938#500—611no—
939#500—611no—
940#489—611no—
941#489—611no—
942#489—611no—
943#489C2×D6111yescharacteristic
944#486—611no—
945#486—611no—
946#484—611no—
947#484—611no—
948#484—611no—
949#484C2×D6111yescharacteristic
950#482—611no—
951#482—611no—
952#482—611no—
953#482—611no—
954#481—611no—
955#481—611no—
956#481—611no—
957#481—611no—
958#481—611no—
959#481—611no—
960#480—611no—
961#480—611no—
962#480—611no—
963#480C2×D6111yescharacteristic
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#477—611no—
969#477—611no—
970#477—611no—
971#477C2×D6111yescharacteristic
972#476—611no—
973#476—611no—
974#476—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#475—611no—
979#475—611no—
980#475—611no—
981#475—611no—
982#475—611no—
983#475—611no—
984#475—611no—
985#475—611no—
986#474—611no—
987#474—611no—
988#474—611no—
989#474—611no—
990#474—611no—
991#474—611no—
992#474—611no—
993#474—611no—
994#469—611no—
995#469—611no—
996#469—611no—
997#469—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468C2×D6111yescharacteristic
1002#466—611no—
1003#466—611no—
1004#466—611no—
1005#466C2×D6111yescharacteristic
1006#463—611no—
1007#463—611no—
1008#463—611no—
1009#463C2×D6111yescharacteristic
1010#460—611no—
1011#460—611no—
1012#459—611no—
1013#459—611no—
1014#459—611no—
1015#459—611no—
1016#449—611no—
1017#449—611no—
1018#449—611no—
1019#449C2×D6111yescharacteristic
1020#448—611no—
1021#448C2×D6111yescharacteristic
1022#446—611no—
1023#446—611no—
1024#442—611no—
1025#442—611no—
1026#442—611no—
1027#442—611no—
1028#440—611no—
1029#440—611no—
1030#440—611no—
1031#440C2×D6111yescharacteristic
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16—611no—
1035C4×SD16—611no—
1036#436—611no—
1037#436—611no—
1038#435—611no—
1039#435—611no—
1040#435—611no—
1041#435C2×D6111yescharacteristic
1042#432—611no—
1043#432—611no—
1044#431—611no—
1045#428—611no—
1046#428—611no—
1047#428—611no—
1048#428—611no—
1049C2×#106—611no—
1050C2×#106—611no—
1051#423—611no—
1052#423—611no—
1053C2×C4⋊C8—611no—
1054#417—611no—
1055#417—611no—
1056#417—611no—
1057#417C2×D6111yescharacteristic
1058C2×#103—611no—
1059C2×#103C2×D6111yescharacteristic
1060C61#6211111yescharacteristic, complemented, Sylow
10612−1+4—2448no—
1062C2×#41—21no—
1063C2×#41—611no—
1064C2×#41—611no—
1065C2×#41—1221no—
1066C2×#41—1221no—
1067C2×#41—1221no—
1068C2×#41—1221no—
1069C2×#41—1221no—
1070C2×#41—1221no—
1071C2×#41—1221no—
1072C2×#41—1221no—
1073C2×#41—1221no—
1074C2×#41C22×D6111yescharacteristic
1075C22×Q8—1221no—
1076C22×Q8—1221no—
1077C22×Q8—1221no—
1078C22×Q8—1221no—
1079C22×Q8—1221no—
1080C22×Q8C22×D6111yescharacteristic
1081C2×SD16—611no—
1082C2×SD16—611no—
1083C2×SD16C22×D6111yescharacteristic
1084C2×SD16C22×D6111yescharacteristic
1085C2×D8—611no—
1086C2×D8—611no—
1087C2×D8—611no—
1088C2×D8C22×D6111yescharacteristic
1089C2×M16—611no—
1090C2×M16—611no—
1091C2×M16—611no—
1092C2×M16C22×D6111yescharacteristic
1093C22×C8—611no—
1094C22×C8C22×D6111yescharacteristic
1095C4⋊Q8—611no—
1096C4⋊Q8—611no—
1097C4⋊Q8—611no—
1098C4⋊Q8—611no—
1099C4⋊Q8—611no—
1100C4⋊Q8—611no—
1101C4⋊Q8—611no—
1102C4⋊Q8—611no—
1103C4⋊Q8—611no—
1104C4⋊Q8—1221no—
1105C4⋊Q8—1221no—
1106C4⋊Q8—1221no—
1107C4⋊Q8—1221no—
1108C4⋊Q8—1221no—
1109C4⋊Q8—1221no—
1110C4⋊Q8—1221no—
1111C4⋊Q8C22×D6111yescharacteristic
1112#127—611no—
1113#127—611no—
1114#127—1221no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#125—611no—
1122#125—611no—
1123#125—1221no—
1124#125—1221no—
1125#124—21no—
1126#124—611no—
1127#124—1221no—
1128#124—1221no—
1129#124—1221no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124—1221no—
1134#124C22×D6111yescharacteristic
1135#123—21no—
1136#123—21no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
1152#123—1221no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—611no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165C22⋊Q8—1221no—
1166C22⋊Q8—1221no—
1167C22⋊Q8—1221no—
1168C22⋊Q8C22×D6111yescharacteristic
1169#121—21no—
1170#121—611no—
1171#121—611no—
1172#121—611no—
1173#121—611no—
1174#121—611no—
1175#121—611no—
1176#121—611no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121—1221no—
1182#121—1221no—
1183#121—1221no—
1184#121—1221no—
1185#121—1221no—
1186#121C22×D6111yescharacteristic
1187#121C22×D6111yescharacteristic
1188#121C22×D6111yescharacteristic
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—1221no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8C22×D6111yescharacteristic
1201C4×D4—21no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4C22×D6111yescharacteristic
1232C4×D4C22×D6111yescharacteristic
1233#117—611no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—611no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—1221no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4C22×D6111yescharacteristic
1252C2×C4⋊C4C22×D6111yescharacteristic
1253C2×C42—611no—
1254C2×C42—611no—
1255C2×C42—611no—
1256C2×C42—1221no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107—611no—
1268#107C22×D6111yescharacteristic
1269#107C22×D6111yescharacteristic
1270#107C22×D6111yescharacteristic
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106—611no—
1280#106—611no—
1281#106—611no—
1282#106—611no—
1283C4⋊C8—611no—
1284C4⋊C8—611no—
1285C4⋊C8—611no—
1286C4⋊C8—611no—
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8—611no—
1290C4⋊C8—611no—
1291C4⋊C8—611no—
1292C4⋊C8C22×D6111yescharacteristic
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103C22×D6111yescharacteristic
1300#103C22×D6111yescharacteristic
1301#103C22×D6111yescharacteristic
1302#103C22×D6111yescharacteristic
1303#103C22×D6111yescharacteristic
1304#103C22×D6111yescharacteristic
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102C22×D6111yescharacteristic
1322#102C22×D6111yescharacteristic
1323#102C22×D6111yescharacteristic
1324#102C22×D6111yescharacteristic
1325C22⋊C8—611no—
1326C22⋊C8—611no—
1327C22⋊C8—611no—
1328C22⋊C8—611no—
1329C22⋊C8C22×D6111yescharacteristic
1330C22⋊C8C22×D6111yescharacteristic
1331#97—611no—
1332#97—611no—
1333#97—611no—
1334#97C22×D6111yescharacteristic
1335C4×C8—611no—
1336C4×C8—611no—
1337#41—22no—
1338#41—41no—
1339#41—44no—
1340#41—1224no—
1341#41—1222no—
1342#41—2444no—
1343#41—2444no—
1344#41—2444no—
1345#41—2444no—
1346#41—2444no—
1347#41—2444no—
1348#41—2441no—
1349#41—2444no—
1350#41—2444no—
1351#41—2444no—
1352C2×Q8—21no—
1353C2×Q8—21no—
1354C2×Q8—22no—
1355C2×Q8—41no—
1356C2×Q8—611no—
1357C2×Q8—1221no—
1358C2×Q8—1221no—
1359C2×Q8—1221no—
1360C2×Q8—1221no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—1221no—
1366C2×Q8—2444no—
1367C2×Q8—2444no—
1368C2×Q8—2444no—
1369C2×Q8—2444no—
1370C2×Q8—2444no—
1371C2×Q8C23×D6111yescharacteristic
1372C2×Q8C23×D6111yescharacteristic
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—611no—
1378C2×D4—611no—
1379C2×D4—611no—
1380C2×D4—611no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4—1221no—
1390C2×D4—1221no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4D4×D6111yescharacteristic
1394C2×D4C23×D6111yescharacteristic
1395C2×D4C23×D6111yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4C23×D6111yescharacteristic
1424C22×C4C23×D6111yescharacteristic
1425SD16—22no—
1426SD16—41no—
1427SD16—1222no—
1428SD16—2441no—
1429D8—41no—
1430D8—2441no—
1431D8—2441no—
1432D8—2441no—
1433M16—41no—
1434M16—2441no—
1435M16—2441no—
1436M16—2441no—
1437C2×C8—41no—
1438C2×C8—611no—
1439C2×C8—611no—
1440C2×C8—611no—
1441C2×C8—611no—
1442C2×C8—2441no—
1443C2×C8C23×D6111yescharacteristic
1444C2×C8C23×D6111yescharacteristic
1445C2×C8C23×D6111yescharacteristic
1446C2×C8C23×D6111yescharacteristic
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—611no—
1453C4⋊C4—611no—
1454C4⋊C4—611no—
1455C4⋊C4—611no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4D4×D6111yescharacteristic
1488C4⋊C4C23×D6111yescharacteristic
1489C4⋊C4C23×D6111yescharacteristic
1490C4⋊C4C23×D6111yescharacteristic
1491C4⋊C4C23×D6111yescharacteristic
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—611no—
1500C22⋊C4—611no—
1501C22⋊C4—611no—
1502C22⋊C4—611no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4D4×D6111yescharacteristic
1525C22⋊C4D4×D6111yescharacteristic
1526C42—21no—
1527C42—611no—
1528C42—611no—
1529C42—611no—
1530C42—611no—
1531C42—611no—
1532C42—611no—
1533C42—611no—
1534C42—611no—
1535C42—611no—
1536C42—1221no—
1537C42—1221no—
1538C42—1221no—
1539C42—1221no—
1540C42—1221no—
1541C42—1221no—
1542C42—1221no—
1543C42C23×D6111yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—611no—
1547C23—1221no—
1548C23—1221no—
1549C23C2×D4×D6111yescharacteristic
1550C23C2×D4×D6111yescharacteristic
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—42no—
1555Q8—42no—
1556Q8—1222no—
1557Q8—2442no—
1558Q8—2442no—
1559Q8—2442no—
1560Q8—2442no—
1561Q8—2442no—
1562Q8—2442no—
1563Q8—2442no—
1564Q8—2442no—
1565Q8—2442no—
1566Q8#1451982412yescomplemented
1567D4—22no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
1575D4—42no—
1576D4—1222no—
1577D4—1222no—
1578D4—1221no—
1579D4—1221no—
1580D4—1221no—
1581D4—1221no—
1582D4—4881no—
1583D4—4881no—
1584D4—4881no—
1585D4—2442no—
1586D4—2442no—
1587D4—2442no—
1588D4—2442no—
1589D4—2442no—
1590D4—2442no—
1591D4—2442no—
1592D4—2442no—
1593D4—2442no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—614no—
1610C2×C4—611no—
1611C2×C4—611no—
1612C2×C4—611no—
1613C2×C4—611no—
1614C2×C4—611no—
1615C2×C4—611no—
1616C2×C4—611no—
1617C2×C4—1222no—
1618C2×C4—1222no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—4881no—
1628C2×C4—4881no—
1629C2×C4—4881no—
1630C2×C4—2441no—
1631C2×C4—2442no—
1632C2×C4—2442no—
1633C2×C4—2442no—
1634C2×C4—2442no—
1635C2×C4—2442no—
1636C2×C4—2442no—
1637C2×C4—2442no—
1638C2×C4—2442no—
1639C2×C4—2442no—
1640C2×C4—2441no—
1641C2×C4—2441no—
1642C2×C4—2442no—
1643C2×C4—2442no—
1644C2×C4—2442no—
1645C2×C4C2×D4×D6111yescharacteristic
1646C2×C4C2×D4×D6111yescharacteristic
1647C2×C4C2×D4×D6111yescharacteristic
1648C2×C4C2×D4×D6111yescharacteristic
1649C2×C4C24×D6111yescharacteristic
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1221no—
1655C8—1221no—
1656C8—1221no—
1657C8—1221no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—1221no—
1670C22—1221no—
1671C22—1221no—
1672C22—2441no—
1673C22—2441no—
1674C22—2441no—
1675C22—2441no—
1676C22—2441no—
1677C22—2441no—
1678C22AGL(1,ℤ/8)×D6112yes—
1679C22C22×D4×D6111yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—22no—
1683C4—21no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—612no—
1691C4—612no—
1692C4—1221no—
1693C4—1221no—
1694C4—1221no—
1695C4—1221no—
1696C4—1221no—
1697C4—2441no—
1698C4—2441no—
1699C4—2441no—
1700C4—2441no—
1701C4—2441no—
1702C4—2441no—
1703C4C2×#1451982411yescharacteristic
1704C4#1684059711yescharacteristic
1705C2—22no—
1706C2—41no—
1707C2—81no—
1708C2—81no—
1709C2—4881no—
1710C2—4881no—
1711C2—2441no—
1712C2#2145949011yescharacteristic
1713C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1714C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3308C2
socleC22×C61C23×D4
hypercenter#3308D61
hypocenterC61#62111
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #21459598C2semidirect
2. #21459409C2semidirect
3. #21458743C2semidirect
4. #21458741C2semidirect
5. #21458608C2semidirect
6. #21458606C2semidirect
7. #21458398C2semidirect
8. #21458396C2semidirect
9. #21458295C2semidirect
10. #21458293C2semidirect
11. #21458291C2semidirect
12. #21458289C2semidirect
13. #21458142C2semidirect
14. #21458139C2semidirect
15. #21457814C2semidirect
16. #21457810C2semidirect
17. #21457806C2semidirect
18. #21457178C2semidirect
19. #21457176C2semidirect
20. #21457125C2semidirect
21. #21457052C2semidirect
22. #21457045C2semidirect
23. #21456938C2semidirect
24. #21455968C2semidirect
25. #21455963C2semidirect
26. #21455845C2semidirect
27. #21455633C2semidirect
28. #21455630C2semidirect
29. C2×#16840045C2semidirect
30. #21454931C2semidirect
31. C61×#3308C2semidirect
698. Q8×C612−1+4semidirect
865. #3308D61semidirect
1060. C61#62111semidirect
1566. Q8#14519824semidirect

Maximal subgroups

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

subgroupindex
#214595982
#214594092
#214587432
#214587412
#214586082
#214586062
#214583982
#214583962
#214582952
#214582932
#214582912
#214582892
#214581422
#214581392
#214578142
#214578102
#214578062
#214571782
#214571762
#214571252
#214570522
#214570452
#214569382
#214559682
#214559632
#214558452
#214556332
#214556302
C2×#168400452
#214549312
C61×#33082
#6211161