Finite Group Databasebeta

← #30551989

Subgroups — #30551989

Order 15616.

2072 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459601C211yesmaximal, characteristic, complemented
2#21459234C211yesmaximal, characteristic, complemented
3#21456930C211yesmaximal, characteristic, complemented
4#21456928C211yesmaximal, characteristic, complemented
5#21456927C211yesmaximal, characteristic, complemented
6#21456925C211yesmaximal, characteristic, complemented
7#21456879C211yesmaximal, characteristic, complemented
8#21456877C211yesmaximal, characteristic, complemented
9#21456874C211yesmaximal, characteristic, complemented
10#21456847C211yesmaximal, characteristic, complemented
11#21456844C211yesmaximal, characteristic, complemented
12#21456811C211yesmaximal, characteristic, complemented
13#21456809C211yesmaximal, characteristic, complemented
14#21456796C211yesmaximal, characteristic, complemented
15#21456792C211yesmaximal, characteristic, complemented
16#21456742C211yesmaximal, characteristic, complemented
17#21456740C211yesmaximal, characteristic, complemented
18#21456292C211yesmaximal, characteristic, complemented
19#21456288C211yesmaximal, characteristic, complemented
20#21456185C211yesmaximal, characteristic, complemented
21#21456183C211yesmaximal, characteristic, complemented
22#21455301C211yesmaximal, characteristic, complemented
23#21455281C211yesmaximal, characteristic, complemented
24#21455271C211yesmaximal, characteristic, complemented
25#461×D61C211yesmaximal, characteristic, complemented
26#21455132C211yesmaximal, characteristic, complemented
27#21455129C211yesmaximal, characteristic, complemented
28#21455102C211yesmaximal, characteristic, complemented
29#21455100C211yesmaximal, characteristic, complemented
30#21454482C211yesmaximal, characteristic, complemented
31C61×#3221C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic
33C2×#14519824C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519806C2211yescharacteristic
36C2×#14519804C2211yescharacteristic
37C2×#14519801C2211yescharacteristic
38C2×#14519798C2211yescharacteristic
39C2×#14519796C2211yescharacteristic
40C2×SD16×D61C2211yescharacteristic
41C2×SD16×D61C2211yescharacteristic
42#16840425—21no—
43#16840425—21no—
44#16840414—21no—
45#16840414—21no—
46#16840410—21no—
47#16840410—21no—
48#16840410—21no—
49#16840410—21no—
50#16840392C2211yescharacteristic
51#16840383C2211yescharacteristic
52#16840380—21no—
53#16840377C2211yescharacteristic
54#16840363C2211yescharacteristic
55#16840362—21no—
56#16840348—21no—
57#16840344—21no—
58#16840341C2211yescharacteristic
59#16840338C2211yescharacteristic, complemented
60#16840337C2211yescharacteristic
61#16840337C2211yescharacteristic, complemented
62#16840332C2211yescharacteristic
63#16840332C2211yescharacteristic, complemented
64#16840328C2211yescharacteristic
65#16840325C2211yescharacteristic
66#16840311C2211yescharacteristic
67#16840311C2211yescharacteristic, complemented
68#16840310C2211yescharacteristic
69#16840308C2211yescharacteristic, complemented
70#16840307—21no—
71#16840307C2211yescharacteristic
72C2×#14519775C2211yescharacteristic, complemented
73C4⋊Q8×D61C2211yescharacteristic
74C4⋊Q8×D61C2211yescharacteristic, complemented
75#16840297C2211yescharacteristic
76#16840293C2211yescharacteristic
77#16840289—21no—
78#16840272—21no—
79#16840270—21no—
80#16840230C2211yescharacteristic
81C4×#11758224C2211yescharacteristic
82C4×D4×D61C2211yescharacteristic
83#16840156C2211yescharacteristic
84#16840154C2211yescharacteristic
85#16840153C2211yescharacteristic
86#16840153C2211yescharacteristic
87#16840150C2211yescharacteristic
88#16840149C2211yescharacteristic
89#16840148C2211yescharacteristic
90#16840146C2211yescharacteristic
91#16840145C2211yescharacteristic
92#16840144C2211yescharacteristic
93#16840143C2211yescharacteristic
94#16840134C2211yescharacteristic
95#16840133C2211yescharacteristic
96#16840133C2211yescharacteristic
97#16840132C2211yescharacteristic, complemented
98#16840129C2211yescharacteristic, complemented
99#16840129C2211yescharacteristic, complemented
100#16840123C2211yescharacteristic, complemented
101#16840122C2211yescharacteristic, complemented
102#16840121C2211yescharacteristic, complemented
103#16840120C2211yescharacteristic, complemented
104#16840119C2211yescharacteristic, complemented
105#16840118C2211yescharacteristic, complemented
106#16840115C2211yescharacteristic, complemented
107#16840113C2211yescharacteristic, complemented
108#16840112C2211yescharacteristic, complemented
109#16840111C2211yescharacteristic, complemented
110#16840111C2211yescharacteristic, complemented
111#16839985C2211yescharacteristic, complemented
112#16839981C2211yescharacteristic, complemented
113#16839978C2211yescharacteristic
114#16839977C2211yescharacteristic
115#16839977C2211yescharacteristic, complemented
116#16839974C2211yescharacteristic
117#16839973C2211yescharacteristic, complemented
118#16839971C2211yescharacteristic, complemented
119#16839971C2211yescharacteristic, complemented
120#16839971C2211yescharacteristic, complemented
121#16839969C2211yescharacteristic, complemented
122#16839968C2211yescharacteristic
123#16839967C2211yescharacteristic
124#16839967C2211yescharacteristic, complemented
125#16839966C2211yescharacteristic
126#16839966C2211yescharacteristic
127#16839966C2211yescharacteristic
128#16839965C2211yescharacteristic
129#16839965C2211yescharacteristic
130#16839965C2211yescharacteristic
131#16839965C2211yescharacteristic, complemented
132#16839965C2211yescharacteristic, complemented
133#16839965C2211yescharacteristic, complemented
134#16839964C2211yescharacteristic
135#16839961C2211yescharacteristic, complemented
136#16839956C2211yescharacteristic
137#16839955C2211yescharacteristic
138#16839955C2211yescharacteristic, complemented
139#16839927C2211yescharacteristic, complemented
140#16839926C2211yescharacteristic, complemented
141#16839925C2211yescharacteristic, complemented
142#16839924C2211yescharacteristic, complemented
143#16839920C2211yescharacteristic, complemented
144#16839919C2211yescharacteristic, complemented
145#16839919C2211yescharacteristic, complemented
146#16839918C2211yescharacteristic, complemented
147#16839910C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839908C2211yescharacteristic
150#16839907C2211yescharacteristic
151#16839906C2211yescharacteristic
152#16839906C2211yescharacteristic, complemented
153#16839905C2211yescharacteristic
154#16839905C2211yescharacteristic, complemented
155#16839904C2211yescharacteristic
156#16839904C2211yescharacteristic, complemented
157#16839903C2211yescharacteristic
158#16839902C2211yescharacteristic
159#16839902C2211yescharacteristic
160#16839901C2211yescharacteristic
161#16839900C2211yescharacteristic
162#16839900C2211yescharacteristic, complemented
163#16839899C2211yescharacteristic
164#16839899C2211yescharacteristic
165#16839899C2211yescharacteristic, complemented
166#16839899C2211yescharacteristic, complemented
167#16839823C2211yescharacteristic, complemented
168#16839822C2211yescharacteristic, complemented
169#16839822C2211yescharacteristic, complemented
170#16839817C2211yescharacteristic, complemented
171#16839816C2211yescharacteristic, complemented
172#16839813C2211yescharacteristic, complemented
173#16839812C2211yescharacteristic, complemented
174#16839784C2211yescharacteristic
175C4⋊C8×D61C2211yescharacteristic
176#16839769C2211yescharacteristic
177#16839769C2211yescharacteristic
178#16839762C2211yescharacteristic
179#16839760C2211yescharacteristic
180#16839757C2211yescharacteristic
181#16839755C2211yescharacteristic
182#103×D61C2211yescharacteristic
183#103×D61C2211yescharacteristic
184#16839727C2211yescharacteristic
185#16839727C2211yescharacteristic
186#16839719C2211yescharacteristic
187#16839716C2211yescharacteristic
188C61×#540C2211yescharacteristic
189C61×#536C2211yescharacteristic, complemented
190C61×#496C2211yescharacteristic
191C61×#492C2211yescharacteristic
192C61×#491C2211yescharacteristic, complemented
193C61×#488C2211yescharacteristic, complemented
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic, complemented
196C61×#461C2211yescharacteristic
197C61×#461C2211yescharacteristic, complemented
198C61×#449C2211yescharacteristic
199C61×#449C2211yescharacteristic, complemented
200C61×#448C2211yescharacteristic
201C61×#448C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203#14519825—42no—
204#14519825—42no—
205#14519824—42no—
206#14519824—42no—
207C2×#11758226—21no—
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758222—21no—
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222C2311yescharacteristic
214C2×#11758222C2311yescharacteristic
215C2×#11758224—21no—
216C2×#11758224—21no—
217C2×#11758224—21no—
218C2×#11758224—21no—
219C2×#11758224C2311yescharacteristic
220C2×#11758224C2311yescharacteristic
221C2×#11758224C2311yescharacteristic
222C22×Dic122—21no—
223C22×Dic122C2311yescharacteristic
224C2×Q8×D61—21no—
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C2×Q8×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C22×C4×D61—21no—
231#14519806—42no—
232#14519806—42no—
233#14519804—42no—
234#14519801—42no—
235#14519798—42no—
236#14519796—42no—
237C2×Dic244C2311yescharacteristic
238C2×Dic244C2311yescharacteristic
239C2×Dic244C2311yescharacteristic
240C2×#11758202C2311yescharacteristic
241C2×#11758202C2311yescharacteristic
242C2×#11758202C2311yescharacteristic
243C2×#11758190C2311yescharacteristic
244C2×#11758190C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758190C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×#11758200C2311yescharacteristic
249C2×#11758200C2311yescharacteristic
250C2×#11758200C2311yescharacteristic
251C2×#11758200C2311yescharacteristic
252C2×#11758200C2311yescharacteristic
253C2×#11758200C2311yescharacteristic
254C2×#11758201C2311yescharacteristic
255C2×#11758201C2311yescharacteristic
256C2×#11758201C2311yescharacteristic
257SD16×D61—42no—
258SD16×D61—42no—
259C2×D488C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic
262C2×#11758199C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C2×#11758189C2311yescharacteristic
265C2×C8×D61C2311yescharacteristic
266C2×C8×D61C2311yescharacteristic
267#14519777C2311yescharacteristic
268#14519777C2311yescharacteristic
269#14519777C2311yescharacteristic
270#14519776—21no—
271#14519776—21no—
272#14519776—21no—
273#14519776—21no—
274#14519776—21no—
275#14519776C2311yescharacteristic
276#14519775—21no—
277#14519775—21no—
278#14519775C2311yescharacteristic
279#14519775C2311yescharacteristic
280#14519775C2311yescharacteristic
281#14519775C2311yescharacteristic
282#14519775C2311yescharacteristic
283#14519773—21no—
284#14519773C2311yescharacteristic
285#14519773C2311yescharacteristic
286#14519772—21no—
287#14519772—21no—
288#14519770—21no—
289#14519770—21no—
290#14519768C2311yescharacteristic
291#14519767—21no—
292#14519766C2311yescharacteristic
293#14519765C2311yescharacteristic
294#14519765C2311yescharacteristic
295#14519765C2311yescharacteristic
296#14519764—21no—
297#14519764C2311yescharacteristic
298#14519764C2311yescharacteristic
299#14519763—21no—
300#14519763—21no—
301#14519763—21no—
302#14519763—21no—
303#14519762—21no—
304#14519762—21no—
305#14519762—21no—
306#14519762—21no—
307#14519762—21no—
308#14519761—21no—
309#14519761—21no—
310#14519760—21no—
311#14519760—21no—
312#14519759—21no—
313#14519759—21no—
314#14519759—21no—
315#14519759—21no—
316#14519759—21no—
317#14519759—21no—
318#14519758—21no—
319#14519757—21no—
320#14519757—21no—
321#14519757—21no—
322#14519757C2311yescharacteristic
323#14519756—21no—
324#14519756C2311yescharacteristic
325#14519755—21no—
326#14519755—21no—
327#14519755—21no—
328#14519755—21no—
329#14519755—21no—
330#14519755—21no—
331#14519754—21no—
332#14519754—21no—
333#14519754—21no—
334#14519754—21no—
335#14519754—21no—
336#14519752C2311yescharacteristic
337#14519751—21no—
338#14519751C2311yescharacteristic
339#14519750—21no—
340#14519750—21no—
341#14519750—21no—
342#14519750—21no—
343#14519750—21no—
344#14519750—21no—
345#14519749—21no—
346#14519749—21no—
347#14519749—21no—
348#14519749—21no—
349#14519749—21no—
350#14519749—21no—
351#14519748—21no—
352#14519748—21no—
353#14519748C2311yescharacteristic
354#14519748C2311yescharacteristic
355#14519747—21no—
356#14519745—21no—
357#14519745—21no—
358#14519745—21no—
359C4×Dic122C2311yescharacteristic
360#14519742D411yescharacteristic
361#14519742D411yescharacteristic
362#14519742C2311yescharacteristic
363C4×D244C2311yescharacteristic
364D4×Dic61—21no—
365D4×Dic61—21no—
366D4×Dic61C2311yescharacteristic
367D4×Dic61C2311yescharacteristic
368#14519739—21no—
369#14519739D411yescharacteristic
370#14519739D411yescharacteristic
371#14519739C2311yescharacteristic
372C4×C22⋊D61—21no—
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519737D411yescharacteristic
384#14519737D411yescharacteristic
385#14519737D411yescharacteristic
386#14519737D411yescharacteristic
387#14519735—21no—
388#14519735C2311yescharacteristic
389#14519734C2311yescharacteristic
390#14519734C2311yescharacteristic
391#14519733—21no—
392#14519733—21no—
393C2×#11758196—21no—
394C2×#11758196—21no—
395C4⋊C4×D61—21no—
396C4⋊C4×D61—21no—
397C4⋊C4×D61—21no—
398C4⋊C4×D61—21no—
399C4⋊C4×D61C2311yescharacteristic
400C22⋊C4×D61—21no—
401C2×C4×Dic61—21no—
402C2×C4×Dic61C2311yescharacteristic
403C42×D61C2311yescharacteristic
404C42×D61C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406C4⋊#92418C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519702C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519701C2311yescharacteristic
422#14519701C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519700C2311yescharacteristic
426#14519700C2311yescharacteristic
427#14519700C2311yescharacteristic
428#14519700C2311yescharacteristic
429#14519699C2311yescharacteristic
430#14519699C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442#14519687C2311yescharacteristic
443#14519687C2311yescharacteristic
444C4×#92418C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×Q8×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×SD16×C61C2311yescharacteristic
455C2×D8×C61C2311yescharacteristic
456C2×D8×C61C2311yescharacteristic
457C4⋊Q8×C61C2311yescharacteristic
458C4⋊Q8×C61C2311yescharacteristic
459#127×C61C2311yescharacteristic
460#125×C61C2311yescharacteristic
461#124×C61C2311yescharacteristic
462#124×C61C2311yescharacteristic
463#123×C61—21no—
464#123×C61—21no—
465#123×C61—21no—
466#123×C61—21no—
467C22⋊Q8×C61—21no—
468C22⋊Q8×C61—21no—
469#121×C61—21no—
470#121×C61—21no—
471#121×C61C2311yescharacteristic
472#121×C61C2311yescharacteristic
473C4×D4×C61C2311yescharacteristic
474C4×D4×C61C2311yescharacteristic
475#117×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477C4⋊C8×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488#97×C61C2311yescharacteristic
489C4×C8×C61C2311yescharacteristic
490C23×D61—21no—
491#41×C61—41no—
492#41×C61—41no—
493C2×Q8×C61—21no—
494C2×Q8×C61—41no—
495C2×Q8×C61—41no—
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61C2×D411yescharacteristic
525C2×C22⋊D61C2×D411yescharacteristic
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61C2×D411yescharacteristic
533C22×Dic61C2×D411yescharacteristic
534#11758226—22no—
535#11758226—22no—
536#11758226—41no—
537#11758226—41no—
538#11758226—44no—
539Q8×D61—22no—
540Q8×D61—22no—
541Q8×D61—22no—
542Q8×D61—22no—
543Q8×D61—41no—
544Q8×D61—41no—
545Q8×D61—41no—
546Q8×D61—41no—
547Q8×D61—44no—
548#11758224—22no—
549#11758224—22no—
550#11758224—22no—
551#11758224—22no—
552#11758224—41no—
553#11758224—41no—
554#11758224—44no—
555#11758224—44no—
556#11758224—82no—
557#11758224—82no—
558D4×D61—22no—
559D4×D61—22no—
560#11758222—22no—
561#11758222—22no—
562#11758222—41no—
563#11758222—41no—
564#11758222—44no—
565#11758222—44no—
566#11758222—44no—
567C2×D244—21no—
568C2×D244—21no—
569C2×D244—21no—
570C2×D244C2×D411yescharacteristic
571C2×D244C2411yescharacteristic
572C2×D244C2411yescharacteristic
573C2×C4×D61—21no—
574C2×C4×D61—21no—
575C2×C4×D61—21no—
576C2×C4×D61—21no—
577C2×C4×D61—21no—
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—82no—
584C2×C4×D61C2×D411yescharacteristic
585C2×C4×D61C2×D411yescharacteristic
586C2×C4×D61C2×D411yescharacteristic
587C2×C4×D61C2×D411yescharacteristic
588C2×C4×D61C2411yescharacteristic
589C2×C4×D61C2411yescharacteristic
590C2×Dic122—21no—
591C2×Dic122—21no—
592C2×Dic122—21no—
593C2×Dic122—21no—
594C2×Dic122—21no—
595C2×Dic122—21no—
596C2×Dic122—21no—
597C2×Dic122—41no—
598C2×Dic122—41no—
599C2×Dic122—44no—
600C2×Dic122C2×D411yescharacteristic
601C2×Dic122C2411yescharacteristic
602C2×Dic122C2411yescharacteristic
603C2×Dic122C2411yescharacteristic
604C2×Dic122C2411yescharacteristic
605SD16×C61—41no—
606SD16×C61—41no—
607SD16×C61—41no—
608SD16×C61—41no—
609SD16×C61—41no—
610SD16×C61—41no—
611D8×C61—41no—
612D8×C61—41no—
613C2×C8×C61C2411yescharacteristic
614C2×C8×C61C2411yescharacteristic
615C2×C8×C61C2411yescharacteristic
616C2×C8×C61C2411yescharacteristic
617C4⋊C4×C61—21no—
618C4⋊C4×C61—21no—
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61—21no—
623C4⋊C4×C61C2×D411yescharacteristic
624C4⋊C4×C61C2×D411yescharacteristic
625C4⋊C4×C61C2411yescharacteristic
626C4⋊C4×C61C2411yescharacteristic
627C22⋊C4×C61—21no—
628C22⋊C4×C61—21no—
629C22⋊C4×C61—21no—
630C22⋊C4×C61—21no—
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61C2×D411yescharacteristic
636C22⋊C4×C61C2×D411yescharacteristic
637C42×C61C2411yescharacteristic
638C42×C61C2411yescharacteristic
639C22⋊Dic61—21no—
640C22⋊Dic61—21no—
641C22⋊Dic61—21no—
642C22⋊Dic61—21no—
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648#11758202—41no—
649#11758202—41no—
650#11758202—41no—
651#11758201—41no—
652#11758201—41no—
653#11758201—41no—
654#11758200—41no—
655#11758200—41no—
656#11758200—41no—
657#11758200—41no—
658#11758200—41no—
659#11758200—41no—
660#11758200—41no—
661#11758199—41no—
662#11758199—41no—
663#11758199—41no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198C2×D411yescharacteristic
679#11758198C2×D411yescharacteristic
680#11758198C2×D411yescharacteristic
681#11758198C2×D411yescharacteristic
682C4⋊Dic61—21no—
683C4⋊Dic61—21no—
684C4⋊Dic61—21no—
685C4⋊Dic61—21no—
686C4⋊Dic61—21no—
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61C2411yescharacteristic
690C4⋊Dic61C2411yescharacteristic
691#11758196—21no—
692#11758196—21no—
693#11758196—21no—
694#11758196—21no—
695#11758196—21no—
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196C2×D411yescharacteristic
708#11758196C2×D411yescharacteristic
709#11758196C2×D411yescharacteristic
710#11758196C2×D411yescharacteristic
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61C2×D411yescharacteristic
715C4×Dic61C2×D411yescharacteristic
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2×D411yescharacteristic
718C4×Dic61C2×D411yescharacteristic
719C4×Dic61C2×D411yescharacteristic
720C4×Dic61C2411yescharacteristic
721C4×Dic61C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726Dic244—41no—
727Dic244—41no—
728Dic244—41no—
729D488—41no—
730#11758190—41no—
731#11758190—41no—
732#11758190—41no—
733#11758190—41no—
734#11758189—22no—
735#11758189—22no—
736C8×D61—22no—
737C8×D61—22no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61C22×D411yescharacteristic
742C22×D61—21no—
743C22×D61—21no—
744C22×D61—42no—
745C22×D61—81no—
746C22×D61—81no—
747C22×D61C22×D411yescharacteristic
748C22×D61C22×D411yescharacteristic
749Q8×C61—21no—
750Q8×C61—21no—
751Q8×C61—21no—
752Q8×C61—21no—
753Q8×C61—21no—
754Q8×C61—21no—
755Q8×C61—42no—
756D4×C61—21no—
757D4×C61—21no—
758D4×C61—21no—
759D4×C61—21no—
760D4×C61—21no—
761D4×C61—21no—
762D4×C61—42no—
763D4×C61—81no—
764D4×C61—81no—
765D4×C61—81no—
766D4×C61—81no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—42no—
775C2×C4×C61—42no—
776C2×C4×C61—81no—
777C2×C4×C61—81no—
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C22×D411yescharacteristic
781C2×C4×C61C22×D411yescharacteristic
782C2×C4×C61C22×D411yescharacteristic
783C2×C4×C61C2511yescharacteristic
784C22⋊D61—22no—
785C22⋊D61—22no—
786C22⋊D61—42no—
787C22⋊D61—42no—
788C22⋊D61—42no—
789C22⋊D61—42no—
790C22⋊D61—42no—
791C22⋊D61—42no—
792C22⋊D61—42no—
793C22⋊D61—81no—
794C22⋊D61—81no—
795C22⋊D61—81no—
796C22⋊D61—81no—
797C22⋊D61—81no—
798C2×Dic61—22no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—41no—
806C2×Dic61—42no—
807C2×Dic61—42no—
808C2×Dic61—42no—
809C2×Dic61—42no—
810C2×Dic61—42no—
811C2×Dic61—42no—
812C2×Dic61C22×D411yescharacteristic
813C2×Dic61C22×D411yescharacteristic
814C2×Dic61C22×D411yescharacteristic
815C2×Dic61C22×D411yescharacteristic
816C2×Dic61C22×D411yescharacteristic
817C2×Dic61C22×D411yescharacteristic
818D244—22no—
819D244—21no—
820D244—21no—
821D244—21no—
822D244—21no—
823D244—42no—
824D244—42no—
825D244—81no—
826C4×D61—21no—
827C4×D61—21no—
828C4×D61—22no—
829C4×D61—22no—
830C4×D61—41no—
831C4×D61—41no—
832C4×D61—42no—
833C4×D61—42no—
834C4×D61—42no—
835C4×D61—42no—
836C4×D61—42no—
837C4×D61—42no—
838C4×D61—42no—
839C4×D61—42no—
840C4×D61—81no—
841C4×D61—81no—
842C4×D61H(5,𝔽2)12yes—
843C4×D61H(5,𝔽2)12yes—
844Dic122—22no—
845Dic122—21no—
846Dic122—21no—
847Dic122—21no—
848Dic122—21no—
849Dic122—21no—
850Dic122—21no—
851Dic122—21no—
852Dic122—21no—
853Dic122—42no—
854Dic122—42no—
855Dic122—42no—
856Dic122—42no—
857Dic122—42no—
858Dic122—81no—
859Dic122—81no—
860C8×C61—21no—
861C8×C61—21no—
862C8×C61—21no—
863C8×C61—21no—
864#92418—21no—
865#92418—21no—
866#92418—21no—
867#92418—21no—
868#60836—611nomaximal, Sylow
869C22×C61—21no—
870C22×C61—21no—
871C22×C61—21no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61C23×D411yescharacteristic
882C2×D61—21no—
883C2×D61—21no—
884C2×D61—21no—
885C2×D61—21no—
886C2×D61—21no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—84no—
894C2×D61#53512yes—
895C4×C61—21no—
896C4×C61—21no—
897C4×C61—21no—
898C4×C61—21no—
899C4×C61—21no—
900C4×C61—41no—
901C4×C61—41no—
902C4×C61—41no—
903C4×C61—41no—
904C4×C61—41no—
905C4×C61C2×H(5,𝔽2)11yescharacteristic
906C4×C61C2×H(5,𝔽2)11yescharacteristic
907Dic61—21no—
908Dic61—21no—
909Dic61—21no—
910Dic61—21no—
911Dic61—41no—
912Dic61—41no—
913Dic61—41no—
914Dic61—41no—
915Dic61—41no—
916Dic61—41no—
917Dic61#53512yes—
918Dic61#57712yes—
919#3499—611no—
920#3460—611no—
921#3225—611no—
922#3225—611no—
923#3225—611no—
924#3225—611no—
925#3221—611no—
926#3221—611no—
927#3221—611no—
928#3221D6111yescharacteristic, complemented
929#3218—611no—
930#3218—611no—
931#3214—611no—
932#3214—611no—
933#3212—611no—
934#3212—611no—
935#3206—611no—
936#3206—611no—
937#3154—611no—
938#3154—611no—
939#3137—611no—
940#3137—611no—
941#3039—611no—
942#3036—611no—
943#3035—611no—
944C2×#461—611no—
945#3013—611no—
946#3013—611no—
947#3010—611no—
948#3010—611no—
949#2925—611no—
950C2×C61—41no—
951C2×C61—81no—
952C2×C61—81no—
953C2×C61—81no—
954C2×C61C2×#53511yescharacteristic
955C2×C61C2×#57711yescharacteristic
956C2×C61#358611yescharacteristic
957D61—22no—
958D61—41no—
959D61—81no—
960D61—81no—
961C2×2−1+4—611no—
962C2×2−1+4—611no—
963C2×#137—611no—
964C2×#137—611no—
965C2×AGL(1,ℤ/8)—611no—
966C2×AGL(1,ℤ/8)—611no—
967C2×#135—611no—
968C2×#135—611no—
969C22×SD16—611no—
970C22×SD16—611no—
971D4×Q8—1221no—
972D4×Q8—1221no—
973#547—1221no—
974#547—1221no—
975#547—1221no—
976#547—1221no—
977#547—1221no—
978#547—1221no—
979#544—611no—
980#542—611no—
981#542—611no—
982#542—1221no—
983#540—611no—
984#540—1221no—
985#540C2×D6111yescharacteristic
986#538—1221no—
987#538—1221no—
988#537—611no—
989#536—611no—
990#536—611no—
991#536—611no—
992#536—611no—
993#536—611no—
994#536C2×D6111yescharacteristic, complemented
995#535—611no—
996#535—611no—
997#532—611no—
998#532—611no—
999#532—611no—
1000#532—611no—
1001#532—611no—
1002#532—1221no—
1003C2×C4⋊Q8—611no—
1004C2×C4⋊Q8—611no—
1005C2×C4⋊Q8—611no—
1006#529—611no—
1007#529—611no—
1008#529—1221no—
1009#525—1221no—
1010#525—1221no—
1011C4×#41—611no—
1012C4×#41—611no—
1013C2×C4×D4—611no—
1014#497—611no—
1015#497—611no—
1016#497—611no—
1017#497—611no—
1018#496—611no—
1019#496—611no—
1020#496—611no—
1021#496C2×D6111yescharacteristic
1022#495—611no—
1023#495—611no—
1024#495—611no—
1025#495—611no—
1026#492—611no—
1027#492—611no—
1028#492—611no—
1029#492C2×D6111yescharacteristic
1030#491—611no—
1031#491—611no—
1032#491—611no—
1033#491C2×D6111yescharacteristic, complemented
1034#489—611no—
1035#489—611no—
1036#489—611no—
1037#489—611no—
1038#488—611no—
1039#488—611no—
1040#488—611no—
1041#488C2×D6111yescharacteristic, complemented
1042#487—611no—
1043#487—611no—
1044#487—611no—
1045#487—611no—
1046#464—611no—
1047#464—611no—
1048#463—611no—
1049#463—611no—
1050#463—611no—
1051#463—611no—
1052#463C2×D6111yescharacteristic
1053#463C2×D6111yescharacteristic, complemented
1054#462—611no—
1055#462—611no—
1056#462—611no—
1057#462—611no—
1058#462—611no—
1059#461—611no—
1060#461—611no—
1061#461—611no—
1062#461—611no—
1063#461—611no—
1064#461—611no—
1065#461—611no—
1066#461—611no—
1067#461—611no—
1068#461—611no—
1069#461—611no—
1070#461—611no—
1071#461—611no—
1072#461C2×D6111yescharacteristic
1073#461C2×D6111yescharacteristic, complemented
1074#460—611no—
1075#459—611no—
1076#459—611no—
1077#459—611no—
1078#452—611no—
1079#452—611no—
1080#452—611no—
1081#452—611no—
1082#451—611no—
1083#451—611no—
1084#451—611no—
1085#451—611no—
1086#449—611no—
1087#449—611no—
1088#449—611no—
1089#449—611no—
1090#449—611no—
1091#449—611no—
1092#449—611no—
1093#449—611no—
1094#449—611no—
1095#449—611no—
1096#449C2×D6111yescharacteristic
1097#449C2×D6111yescharacteristic, complemented
1098#448—611no—
1099#448—611no—
1100#448—611no—
1101#448—611no—
1102#448—611no—
1103#448—611no—
1104#448—611no—
1105#448—611no—
1106#448—611no—
1107#448—611no—
1108#448C2×D6111yescharacteristic
1109#448C2×D6111yescharacteristic, complemented
1110#433—611no—
1111#433—611no—
1112#433—611no—
1113#433C2×D6111yescharacteristic, complemented
1114#432—611no—
1115#432—611no—
1116#431—611no—
1117#431—611no—
1118#423—611no—
1119C2×C4⋊C8—611no—
1120#419—611no—
1121#419—611no—
1122#417—611no—
1123#417—611no—
1124#416—611no—
1125#416—611no—
1126C2×#103—611no—
1127C2×#103—611no—
1128#408—611no—
1129#408—611no—
1130#405—611no—
1131#405—611no—
1132C61#6083611yescharacteristic, complemented, Sylow
11332−1+4—2442no—
11342−1+4—2442no—
11352−1+4—2442no—
11362−1+4—2442no—
1137C2×#41—611no—
1138C2×#41—611no—
1139C2×#41—611no—
1140C2×#41—611no—
1141C2×#41—611no—
1142C2×#41—611no—
1143C2×#41—611no—
1144C2×#41—1221no—
1145C2×#41—1221no—
1146C2×#41—1221no—
1147C2×#41—1221no—
1148C2×#41—1221no—
1149C2×#41—1221no—
1150C2×#41—1221no—
1151C2×#41—1221no—
1152C2×#41C22×D6111yescharacteristic
1153C22×Q8—611no—
1154C22×Q8—611no—
1155C22×Q8—611no—
1156C22×Q8—611no—
1157C22×Q8—611no—
1158C22×Q8—1221no—
1159C22×Q8—1221no—
1160C22×Q8C22×D6111yescharacteristic
1161C22×D4—611no—
1162C23×C4—1221no—
1163#137—2442no—
1164#137—2442no—
1165AGL(1,ℤ/8)—2442no—
1166AGL(1,ℤ/8)—2442no—
1167#135—2442no—
1168#135—2442no—
1169C2×Q16—611no—
1170C2×Q16—611no—
1171C2×Q16—611no—
1172C2×Q16—611no—
1173C2×Q16—611no—
1174C2×Q16—611no—
1175C2×SD16—611no—
1176C2×SD16—611no—
1177C2×SD16—611no—
1178C2×SD16—611no—
1179C2×SD16—611no—
1180C2×SD16—611no—
1181C2×SD16—611no—
1182C2×SD16—611no—
1183C2×SD16—611no—
1184C2×SD16—611no—
1185C2×SD16—611no—
1186C2×SD16—611no—
1187C2×SD16—611no—
1188C2×SD16—611no—
1189C2×SD16—2442no—
1190C2×SD16—2442no—
1191C2×SD16C22×D6111yescharacteristic
1192C2×SD16C22×D6111yescharacteristic
1193C2×SD16C22×D6111yescharacteristic
1194C2×SD16C22×D6111yescharacteristic
1195C2×SD16C22×D6111yescharacteristic
1196C2×SD16C22×D6111yescharacteristic
1197C2×D8—611no—
1198C2×D8—611no—
1199C2×D8—611no—
1200C2×D8—611no—
1201C2×D8C22×D6111yescharacteristic
1202C2×D8C22×D6111yescharacteristic
1203C2×M16—611no—
1204C2×M16—611no—
1205C22×C8—611no—
1206C22×C8—611no—
1207C4⋊Q8—611no—
1208C4⋊Q8—611no—
1209C4⋊Q8—611no—
1210C4⋊Q8—611no—
1211C4⋊Q8—611no—
1212C4⋊Q8—611no—
1213C4⋊Q8—611no—
1214C4⋊Q8—611no—
1215C4⋊Q8—611no—
1216C4⋊Q8—1221no—
1217C4⋊Q8—1221no—
1218C4⋊Q8—1221no—
1219C4⋊Q8—1221no—
1220C4⋊Q8—1221no—
1221C4⋊Q8—1221no—
1222C4⋊Q8—1221no—
1223C4⋊Q8C22×D6111yescharacteristic
1224C4⋊Q8C22×D6111yescharacteristic
1225#127—611no—
1226#127—611no—
1227#127—1221no—
1228#127C22×D6111yescharacteristic
1229#126—1221no—
1230#126—1221no—
1231#126—1221no—
1232#126—1221no—
1233#125—611no—
1234#125—1221no—
1235#125C22×D6111yescharacteristic
1236#124—611no—
1237#124—611no—
1238#124—611no—
1239#124—611no—
1240#124—611no—
1241#124—611no—
1242#124—1221no—
1243#124—1221no—
1244#124—1221no—
1245#124—1221no—
1246#124—1221no—
1247#124C22×D6111yescharacteristic
1248#124C22×D6111yescharacteristic
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265#123—1221no—
1266#123—1221no—
1267#123—1221no—
1268#123—1221no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8—1221no—
1282C22⋊Q8—1221no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288#121—21no—
1289#121—21no—
1290#121—611no—
1291#121—611no—
1292#121—611no—
1293#121—611no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121C22×D6111yescharacteristic
1310#121C22×D6111yescharacteristic
1311#120—1221no—
1312#120—1221no—
1313#120—1221no—
1314#120—1221no—
1315C4×Q8—611no—
1316C4×Q8—611no—
1317C4×Q8—611no—
1318C4×Q8—611no—
1319C4×D4—611no—
1320C4×D4—611no—
1321C4×D4—611no—
1322C4×D4—611no—
1323C4×D4—611no—
1324C4×D4—611no—
1325C4×D4—611no—
1326C4×D4—611no—
1327C4×D4—611no—
1328C4×D4—611no—
1329C4×D4—1221no—
1330C4×D4—1221no—
1331C4×D4—1221no—
1332C4×D4—1221no—
1333C4×D4—1221no—
1334C4×D4—1221no—
1335C4×D4—1221no—
1336C4×D4—1221no—
1337C4×D4—1221no—
1338C4×D4—1221no—
1339C4×D4—1221no—
1340C4×D4—1221no—
1341C4×D4—1221no—
1342C4×D4—1221no—
1343C4×D4C22×D6111yescharacteristic
1344C4×D4C22×D6111yescharacteristic
1345#117—611no—
1346#117—611no—
1347#117—611no—
1348#117—1221no—
1349#117—1221no—
1350#117—1221no—
1351#117C22×D6111yescharacteristic
1352C2×C4⋊C4—611no—
1353C2×C4⋊C4—1221no—
1354C2×C4⋊C4—1221no—
1355C2×C4⋊C4—1221no—
1356C2×C4⋊C4—1221no—
1357C2×C4⋊C4—1221no—
1358C2×C4⋊C4—1221no—
1359C2×C22⋊C4—1221no—
1360C2×C42—611no—
1361C2×C42—611no—
1362C2×C42—611no—
1363C2×C42—1221no—
1364C4⋊C8—611no—
1365C4⋊C8—611no—
1366C4⋊C8—611no—
1367C4⋊C8—611no—
1368C4⋊C8—611no—
1369C4⋊C8—611no—
1370C4⋊C8C22×D6111yescharacteristic
1371C4⋊C8C22×D6111yescharacteristic
1372#103—611no—
1373#103—611no—
1374#103—611no—
1375#103—611no—
1376#103—611no—
1377#103—611no—
1378#103—611no—
1379#103—611no—
1380#103—611no—
1381#103—611no—
1382#103—611no—
1383#103—611no—
1384#103—611no—
1385#103—611no—
1386#103—611no—
1387#103—611no—
1388#103—611no—
1389#103—611no—
1390#103C22×D6111yescharacteristic
1391#103C22×D6111yescharacteristic
1392#103C22×D6111yescharacteristic
1393#103C22×D6111yescharacteristic
1394#103C22×D6111yescharacteristic
1395#103C22×D6111yescharacteristic
1396#102—611no—
1397#102—611no—
1398#102—611no—
1399#102—611no—
1400#102—611no—
1401#102—611no—
1402#102C22×D6111yescharacteristic
1403#102C22×D6111yescharacteristic
1404C22⋊C8—611no—
1405C22⋊C8—611no—
1406C22⋊C8—611no—
1407C22⋊C8—611no—
1408C22⋊C8—611no—
1409C22⋊C8—611no—
1410C22⋊C8C22×D6111yescharacteristic
1411C22⋊C8C22×D6111yescharacteristic
1412#97—611no—
1413#97—611no—
1414#97—611no—
1415#97C22×D6111yescharacteristic
1416C4×C8—611no—
1417C4×C8—611no—
1418C4×C8—611no—
1419C4×C8C22×D6111yescharacteristic
1420C24—1221no—
1421#41—41no—
1422#41—41no—
1423#41—1222no—
1424#41—1222no—
1425#41—1222no—
1426#41—1222no—
1427#41—1222no—
1428#41—1222no—
1429#41—1222no—
1430#41—1222no—
1431#41—4882no—
1432#41—4882no—
1433#41—2441no—
1434#41—2441no—
1435#41—2444no—
1436#41—2444no—
1437#41—2444no—
1438#41—2441no—
1439#41—2441no—
1440#41—2441no—
1441#41—2441no—
1442#41—2444no—
1443#41—2444no—
1444#41—2444no—
1445C2×Q8—21no—
1446C2×Q8—41no—
1447C2×Q8—41no—
1448C2×Q8—611no—
1449C2×Q8—611no—
1450C2×Q8—611no—
1451C2×Q8—611no—
1452C2×Q8—611no—
1453C2×Q8—1221no—
1454C2×Q8—1221no—
1455C2×Q8—1221no—
1456C2×Q8—1221no—
1457C2×Q8—1221no—
1458C2×Q8—1222no—
1459C2×Q8—1222no—
1460C2×Q8—1222no—
1461C2×Q8—1222no—
1462C2×Q8—1221no—
1463C2×Q8—1221no—
1464C2×Q8—2441no—
1465C2×Q8—2441no—
1466C2×Q8—2444no—
1467C2×Q8—2441no—
1468C2×Q8—2441no—
1469C2×Q8—2441no—
1470C2×Q8—2441no—
1471C2×Q8—2444no—
1472C2×Q8C23×D6111yescharacteristic
1473C2×Q8C23×D6111yescharacteristic
1474C2×Q8C23×D6111yescharacteristic
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—611no—
1481C2×D4—611no—
1482C2×D4—611no—
1483C2×D4—611no—
1484C2×D4—611no—
1485C2×D4—1221no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1222no—
1489C2×D4—1222no—
1490C2×D4—1221no—
1491C2×D4—1221no—
1492C2×D4—1221no—
1493C2×D4—1221no—
1494C2×D4—1221no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—1221no—
1498C2×D4—1221no—
1499C2×D4—1221no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4C23×D6111yescharacteristic
1503C2×D4C23×D6111yescharacteristic
1504C2×D4C23×D6111yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—611no—
1510C22×C4—611no—
1511C22×C4—611no—
1512C22×C4—611no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—611no—
1516C22×C4—611no—
1517C22×C4—1221no—
1518C22×C4—1221no—
1519C22×C4—1221no—
1520C22×C4—1221no—
1521C22×C4—1221no—
1522C22×C4—1221no—
1523C22×C4—1221no—
1524C22×C4—1221no—
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—4882no—
1534C22×C4C23×D6111yescharacteristic
1535Q16—2441no—
1536Q16—2441no—
1537Q16—2441no—
1538Q16—2441no—
1539Q16—2441no—
1540Q16—2441no—
1541SD16—41no—
1542SD16—41no—
1543SD16—41no—
1544SD16—41no—
1545SD16—41no—
1546SD16—41no—
1547SD16—2441no—
1548SD16—2441no—
1549SD16—2441no—
1550SD16—2441no—
1551SD16—2441no—
1552SD16—2441no—
1553SD16—2441no—
1554SD16—2441no—
1555SD16—2441no—
1556SD16—2441no—
1557SD16—2441no—
1558SD16—2441no—
1559SD16—2441no—
1560SD16—2441no—
1561D8—41no—
1562D8—41no—
1563D8—2441no—
1564D8—2441no—
1565D8—2441no—
1566D8—2441no—
1567M16—1222no—
1568M16—1222no—
1569C2×C8—611no—
1570C2×C8—611no—
1571C2×C8—611no—
1572C2×C8—611no—
1573C2×C8—1222no—
1574C2×C8—1222no—
1575C2×C8C23×D6111yescharacteristic
1576C2×C8C23×D6111yescharacteristic
1577C2×C8C23×D6111yescharacteristic
1578C2×C8C23×D6111yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—611no—
1586C4⋊C4—611no—
1587C4⋊C4—611no—
1588C4⋊C4—611no—
1589C4⋊C4—611no—
1590C4⋊C4—611no—
1591C4⋊C4—1221no—
1592C4⋊C4—1221no—
1593C4⋊C4—1221no—
1594C4⋊C4—1221no—
1595C4⋊C4—1221no—
1596C4⋊C4—1221no—
1597C4⋊C4—1221no—
1598C4⋊C4—1221no—
1599C4⋊C4—1221no—
1600C4⋊C4—1221no—
1601C4⋊C4—1221no—
1602C4⋊C4—1221no—
1603C4⋊C4—1221no—
1604C4⋊C4—1221no—
1605C4⋊C4—1221no—
1606C4⋊C4—1221no—
1607C4⋊C4—1221no—
1608C4⋊C4—1221no—
1609C4⋊C4—1221no—
1610C4⋊C4—1221no—
1611C4⋊C4—1221no—
1612C4⋊C4—1221no—
1613C4⋊C4—1221no—
1614C4⋊C4D4×D6111yescharacteristic
1615C4⋊C4D4×D6111yescharacteristic
1616C4⋊C4C23×D6111yescharacteristic
1617C4⋊C4C23×D6111yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—611no—
1627C22⋊C4—611no—
1628C22⋊C4—611no—
1629C22⋊C4—611no—
1630C22⋊C4—1221no—
1631C22⋊C4—1221no—
1632C22⋊C4—1221no—
1633C22⋊C4—1221no—
1634C22⋊C4—1221no—
1635C22⋊C4—1221no—
1636C22⋊C4—1221no—
1637C22⋊C4—1221no—
1638C22⋊C4—1221no—
1639C22⋊C4—1221no—
1640C22⋊C4—1221no—
1641C22⋊C4—1221no—
1642C22⋊C4—1221no—
1643C22⋊C4—1221no—
1644C22⋊C4—1221no—
1645C22⋊C4—1221no—
1646C22⋊C4—1221no—
1647C22⋊C4—1221no—
1648C22⋊C4—1221no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4D4×D6111yescharacteristic
1654C22⋊C4D4×D6111yescharacteristic
1655C42—611no—
1656C42—611no—
1657C42—611no—
1658C42—611no—
1659C42—611no—
1660C42—611no—
1661C42—611no—
1662C42—611no—
1663C42—1221no—
1664C42—1221no—
1665C42—1221no—
1666C42C23×D6111yescharacteristic
1667C42C23×D6111yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—611no—
1672C23—611no—
1673C23—1221no—
1674C23—1221no—
1675C23—4881no—
1676C23—4881no—
1677C23—2442no—
1678C23C2×D4×D6111yescharacteristic
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—42no—
1686Q8—1222no—
1687Q8—1221no—
1688Q8—1221no—
1689Q8—1221no—
1690Q8—1221no—
1691Q8—1221no—
1692Q8—1221no—
1693Q8—1221no—
1694Q8—1221no—
1695Q8—4881no—
1696Q8—4881no—
1697Q8—2442no—
1698Q8—2442no—
1699Q8—2442no—
1700Q8—2442no—
1701Q8—2442no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—42no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—1222no—
1714D4—1222no—
1715D4—1222no—
1716D4—1221no—
1717D4—1221no—
1718D4—1221no—
1719D4—1221no—
1720D4—4881no—
1721D4—4881no—
1722D4—4881no—
1723D4—4881no—
1724D4—4881no—
1725D4—4881no—
1726D4—2442no—
1727D4—2442no—
1728D4—2442no—
1729D4—2442no—
1730D4—2442no—
1731D4—2442no—
1732D4—2442no—
1733D4—2442no—
1734D4—2442no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—81no—
1745C2×C4—81no—
1746C2×C4—611no—
1747C2×C4—611no—
1748C2×C4—612no—
1749C2×C4—612no—
1750C2×C4—611no—
1751C2×C4—611no—
1752C2×C4—611no—
1753C2×C4—611no—
1754C2×C4—1222no—
1755C2×C4—1222no—
1756C2×C4—1222no—
1757C2×C4—1221no—
1758C2×C4—1221no—
1759C2×C4—1221no—
1760C2×C4—1221no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—4881no—
1766C2×C4—4881no—
1767C2×C4—2441no—
1768C2×C4—2441no—
1769C2×C4—2442no—
1770C2×C4—2442no—
1771C2×C4—2442no—
1772C2×C4—2442no—
1773C2×C4—2442no—
1774C2×C4—2442no—
1775C2×C4—2442no—
1776C2×C4—2442no—
1777C2×C4—2442no—
1778C2×C4—2442no—
1779C2×C4—2442no—
1780C2×C4—2442no—
1781C2×C4—2441no—
1782C2×C4—2442no—
1783C2×C4—2442no—
1784C2×C4C2×D4×D6111yescharacteristic
1785C2×C4C2×D4×D6111yescharacteristic
1786C2×C4C2×D4×D6111yescharacteristic
1787C2×C4C2×D4×D6111yescharacteristic
1788C2×C4C2×D4×D6111yescharacteristic
1789C2×C4C24×D6111yescharacteristic
1790C8—21no—
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—1221no—
1795C8—1221no—
1796C8—1221no—
1797C8—1221no—
1798C22—21no—
1799C22—21no—
1800C22—21no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—612no—
1811C22—1221no—
1812C22—1221no—
1813C22—1221no—
1814C22—1221no—
1815C22—1221no—
1816C22—4884no—
1817C22—2441no—
1818C22—2441no—
1819C22—2441no—
1820C22—2441no—
1821C22—2441no—
1822C22—2441no—
1823C22C22×D4×D6111yescharacteristic
1824C4—21no—
1825C4—21no—
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—612no—
1835C4—612no—
1836C4—1221no—
1837C4—1221no—
1838C4—1221no—
1839C4—1221no—
1840C4—2441no—
1841C4—2441no—
1842C4—2441no—
1843C4—2441no—
1844C4—2441no—
1845C4—2441no—
1846C4H(5,𝔽2)×D6111yescharacteristic
1847C4H(5,𝔽2)×D6111yescharacteristic
1848C2—41no—
1849C2—81no—
1850C2—81no—
1851C2—81no—
1852C2—1222no—
1853C2—4881no—
1854C2—4881no—
1855C2—2441no—
1856C2#535×D6111yescharacteristic
1857C2#577×D6111yescharacteristic
1858C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3221C2
socleC22×C61C23×D4
hypercenter#3221D61
hypocenterC61#60836
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3221

Complements

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

NH ≅ G/Ntype
1. #21459601C2semidirect
2. #21459234C2semidirect
3. #21456930C2semidirect
4. #21456928C2semidirect
5. #21456927C2semidirect
6. #21456925C2semidirect
7. #21456879C2semidirect
8. #21456877C2semidirect
9. #21456874C2semidirect
10. #21456847C2semidirect
11. #21456844C2semidirect
12. #21456811C2semidirect
13. #21456809C2semidirect
14. #21456796C2semidirect
15. #21456792C2semidirect
16. #21456742C2semidirect
17. #21456740C2semidirect
18. #21456292C2semidirect
19. #21456288C2semidirect
20. #21456185C2semidirect
21. #21456183C2semidirect
22. #21455301C2semidirect
23. #21455281C2semidirect
24. #21455271C2semidirect
25. #461×D61C2semidirect
26. #21455132C2semidirect
27. #21455129C2semidirect
28. #21455102C2semidirect
29. #21455100C2semidirect
30. #21454482C2semidirect
31. C61×#3221C2semidirect
59. #16840338C22semidirect
61. #16840337C22semidirect
63. #16840332C22semidirect
67. #16840311C22semidirect
69. #16840308C22semidirect
72. C2×#14519775C22semidirect
74. C4⋊Q8×D61C22semidirect
97. #16840132C22semidirect
98. #16840129C22semidirect
99. #16840129C22semidirect
100. #16840123C22semidirect
101. #16840122C22semidirect
102. #16840121C22semidirect
103. #16840120C22semidirect
104. #16840119C22semidirect
105. #16840118C22semidirect
106. #16840115C22semidirect
107. #16840113C22semidirect
108. #16840112C22semidirect
109. #16840111C22semidirect
110. #16840111C22semidirect
111. #16839985C22semidirect
112. #16839981C22semidirect
115. #16839977C22semidirect
117. #16839973C22semidirect
118. #16839971C22semidirect
119. #16839971C22semidirect
120. #16839971C22semidirect
121. #16839969C22semidirect
124. #16839967C22semidirect
131. #16839965C22semidirect
132. #16839965C22semidirect
133. #16839965C22semidirect
135. #16839961C22semidirect
138. #16839955C22semidirect
139. #16839927C22semidirect
140. #16839926C22semidirect
141. #16839925C22semidirect
142. #16839924C22semidirect
143. #16839920C22semidirect
144. #16839919C22semidirect
145. #16839919C22semidirect
146. #16839918C22semidirect
152. #16839906C22semidirect
154. #16839905C22semidirect
156. #16839904C22semidirect
162. #16839900C22semidirect
165. #16839899C22semidirect
166. #16839899C22semidirect
167. #16839823C22semidirect
168. #16839822C22semidirect
169. #16839822C22semidirect
170. #16839817C22semidirect
171. #16839816C22semidirect
172. #16839813C22semidirect
173. #16839812C22semidirect
189. C61×#536C22semidirect
192. C61×#491C22semidirect
193. C61×#488C22semidirect
195. C61×#463C22semidirect
197. C61×#461C22semidirect
199. C61×#449C22semidirect
201. C61×#448C22semidirect
202. C61×#433C22semidirect
928. #3221D61semidirect
994. #536C2×D61semidirect
1033. #491C2×D61semidirect
1041. #488C2×D61semidirect
1053. #463C2×D61semidirect
1073. #461C2×D61semidirect
1097. #449C2×D61semidirect
1109. #448C2×D61semidirect
1113. #433C2×D61semidirect
1132. C61#60836semidirect

Maximal subgroups

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

subgroupindex
#214596012
#214592342
#214569302
#214569282
#214569272
#214569252
#214568792
#214568772
#214568742
#214568472
#214568442
#214568112
#214568092
#214567962
#214567922
#214567422
#214567402
#214562922
#214562882
#214561852
#214561832
#214553012
#214552812
#214552712
#461×D612
#214551322
#214551292
#214551022
#214551002
#214544822
C61×#32212
#6083661