Finite Group Databasebeta

← #30565540

Subgroups — #30565540

Order 15616.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459661C211yesmaximal, characteristic, complemented
2#21459308C211yesmaximal, characteristic, complemented
3#21458098C211yesmaximal, characteristic, complemented
4#21458048C211yesmaximal, characteristic, complemented
5#21458002C211yesmaximal, characteristic, complemented
6#21457974C211yesmaximal, characteristic, complemented
7#21457969C211yesmaximal, characteristic, complemented
8#21457754C211yesmaximal, characteristic, complemented
9#21457734C211yesmaximal, characteristic, complemented
10#21457572C211yesmaximal, characteristic, complemented
11#21457546C211yesmaximal, characteristic, complemented
12#21457483C211yesmaximal, characteristic, complemented
13#21457436C211yesmaximal, characteristic, complemented
14#21457376C211yesmaximal, characteristic, complemented
15#21457375C211yesmaximal, characteristic, complemented
16#21457349C211yesmaximal, characteristic, complemented
17#21457339C211yesmaximal, characteristic, complemented
18#21456831C211yesmaximal, characteristic, complemented
19#21456751C211yesmaximal, characteristic, complemented
20#21456663C211yesmaximal, characteristic, complemented
21#21456655C211yesmaximal, characteristic, complemented
22#21456610C211yesmaximal, characteristic, complemented
23#21456608C211yesmaximal, characteristic, complemented
24#21455968C211yesmaximal, characteristic, complemented
25#21455893C211yesmaximal, characteristic, complemented
26#21455065C211yesmaximal, characteristic, complemented
27#21455057C211yesmaximal, characteristic, complemented
28#21455039C211yesmaximal, characteristic, complemented
29#21455036C211yesmaximal, characteristic, complemented
30#21454849C211yesmaximal, characteristic, complemented
31C61×#3321C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519808C2211yescharacteristic, complemented
35C2×#14519806C2211yescharacteristic, complemented
36C2×#14519805C2211yescharacteristic, complemented
37C2×#14519801C2211yescharacteristic, complemented
38C2×#14519799C2211yescharacteristic, complemented
39C2×#14519798C2211yescharacteristic, complemented
40C2×#14519798C2211yescharacteristic, complemented
41C2×#14519797C2211yescharacteristic, complemented
42#16840494—21no—
43#16840494—21no—
44#16840480C2211yescharacteristic
45#16840480C2211yescharacteristic, complemented
46#16840478C2211yescharacteristic, complemented
47#16840464—21no—
48#16840456—21no—
49#16840431C2211yescharacteristic
50#16840430C2211yescharacteristic
51#16840430C2211yescharacteristic, complemented
52Q8×C22⋊D61C2211yescharacteristic
53#16840424C2211yescharacteristic
54#16840417C2211yescharacteristic, complemented
55#16840416C2211yescharacteristic, complemented
56#16840414—21no—
57#16840414C2211yescharacteristic
58#16840408—21no—
59#16840408C2211yescharacteristic
60#16840405—21no—
61#16840405C2211yescharacteristic
62#16840396—21no—
63#16840396C2211yescharacteristic
64#16840346—21no—
65#16840346—21no—
66#16840328—21no—
67#16840317C2211yescharacteristic, complemented
68#16840311—21no—
69#16840311C2211yescharacteristic
70#16840309C2211yescharacteristic, complemented
71#16840275—21no—
72#16840275C2211yescharacteristic
73#16840274C2211yescharacteristic, complemented
74#16840274C2211yescharacteristic, complemented
75#16840272—21no—
76#16840272C2211yescharacteristic
77#16840272C2211yescharacteristic, complemented
78#16840272C2211yescharacteristic, complemented
79#16840242—21no—
80C4×#11758226C2211yescharacteristic
81C4×D4×D61—21no—
82C4×D4×D61C2211yescharacteristic
83#16840157C2211yescharacteristic, complemented
84#16840156C2211yescharacteristic, complemented
85#16840137C2211yescharacteristic, complemented
86#16840133C2211yescharacteristic, complemented
87#16840124C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840106C2211yescharacteristic, complemented
91#16840106C2211yescharacteristic, complemented
92#16840106C2211yescharacteristic, complemented
93#16840103C2211yescharacteristic, complemented
94#16840101C2211yescharacteristic, complemented
95#16840089C2211yescharacteristic, complemented
96#16840088C2211yescharacteristic, complemented
97#16840086C2211yescharacteristic, complemented
98#16840085C2211yescharacteristic, complemented
99#16840085C2211yescharacteristic, complemented
100#16840045C2211yescharacteristic, complemented
101#16840041C2211yescharacteristic, complemented
102#16840039C2211yescharacteristic, complemented
103#16840020C2211yescharacteristic, complemented
104#16840019C2211yescharacteristic, complemented
105#16840016C2211yescharacteristic, complemented
106#16840011C2211yescharacteristic, complemented
107#16840009C2211yescharacteristic, complemented
108#16840006C2211yescharacteristic, complemented
109#16840006C2211yescharacteristic, complemented
110#16840004C2211yescharacteristic, complemented
111#16840001C2211yescharacteristic, complemented
112#16839997C2211yescharacteristic, complemented
113#16839996C2211yescharacteristic, complemented
114#16839992C2211yescharacteristic, complemented
115#16839991C2211yescharacteristic, complemented
116#16839990C2211yescharacteristic, complemented
117#16839978C2211yescharacteristic, complemented
118#16839977C2211yescharacteristic, complemented
119#16839974C2211yescharacteristic, complemented
120#16839972C2211yescharacteristic, complemented
121#16839971C2211yescharacteristic, complemented
122#16839971C2211yescharacteristic, complemented
123#16839968C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839961C2211yescharacteristic, complemented
126#16839960C2211yescharacteristic, complemented
127#16839956C2211yescharacteristic, complemented
128#16839927C2211yescharacteristic
129#16839927C2211yescharacteristic
130#16839927C2211yescharacteristic, complemented
131#16839927C2211yescharacteristic, complemented
132#16839927C2211yescharacteristic, complemented
133#16839927C2211yescharacteristic, complemented
134#16839926C2211yescharacteristic, complemented
135#16839926C2211yescharacteristic, complemented
136#16839925C2211yescharacteristic, complemented
137#16839925C2211yescharacteristic, complemented
138#16839925C2211yescharacteristic, complemented
139#16839924C2211yescharacteristic, complemented
140#16839922C2211yescharacteristic, complemented
141#16839921C2211yescharacteristic, complemented
142#16839919C2211yescharacteristic, complemented
143#16839918C2211yescharacteristic, complemented
144#16839915C2211yescharacteristic, complemented
145#16839914C2211yescharacteristic, complemented
146#16839910C2211yescharacteristic
147#16839910C2211yescharacteristic, complemented
148#16839910C2211yescharacteristic, complemented
149#16839910C2211yescharacteristic, complemented
150#16839909C2211yescharacteristic, complemented
151#16839908C2211yescharacteristic, complemented
152#16839908C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic
154#16839906C2211yescharacteristic, complemented
155#16839905C2211yescharacteristic, complemented
156#16839905C2211yescharacteristic, complemented
157#16839904C2211yescharacteristic, complemented
158#16839904C2211yescharacteristic, complemented
159#16839902C2211yescharacteristic, complemented
160#16839897C2211yescharacteristic, complemented
161#16839895C2211yescharacteristic, complemented
162#16839875C2211yescharacteristic, complemented
163#16839872C2211yescharacteristic, complemented
164#16839860C2211yescharacteristic, complemented
165#16839854C2211yescharacteristic, complemented
166#16839854C2211yescharacteristic, complemented
167#16839849C2211yescharacteristic, complemented
168#16839849C2211yescharacteristic, complemented
169#16839838C2211yescharacteristic
170#16839837C2211yescharacteristic
171#16839835C2211yescharacteristic, complemented
172#16839834C2211yescharacteristic, complemented
173#16839832C2211yescharacteristic, complemented
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839825C2211yescharacteristic, complemented
176#16839817C2211yescharacteristic, complemented
177#16839814C2211yescharacteristic, complemented
178#16839769C2211yescharacteristic, complemented
179#16839766C2211yescharacteristic, complemented
180#16839765C2211yescharacteristic, complemented
181#16839757C2211yescharacteristic, complemented
182#16839757C2211yescharacteristic, complemented
183#16839756C2211yescharacteristic, complemented
184#16839725C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic, complemented
186C2×#14519689C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C61×#555C2211yescharacteristic, complemented
189C61×#548C2211yescharacteristic
190C61×#489C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#482C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#448C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226—21no—
205C2×#11758226—42no—
206C2×#11758226—42no—
207C2×#11758226C2311yescharacteristic
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758226C2311yescharacteristic
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222C2311yescharacteristic
214C2×#11758222C2311yescharacteristic
215C2×#11758222C2311yescharacteristic
216C2×#11758224—21no—
217C2×#11758224C2311yescharacteristic
218C2×#11758224C2311yescharacteristic
219C2×#11758224C2311yescharacteristic
220#41×D61—42no—
221#41×D61—42no—
222C2×Q8×D61C2311yescharacteristic
223C22×D244—21no—
224C22×D244C2311yescharacteristic
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61D411yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C22×C4×D61—21no—
230C22×C4×D61—21no—
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233#14519808—42no—
234#14519806—42no—
235#14519805—42no—
236#14519801—42no—
237#14519799—42no—
238#14519798—42no—
239#14519798—42no—
240#14519797—42no—
241C2×Dic244C2311yescharacteristic
242C2×Dic244C2311yescharacteristic
243C2×#11758202C2311yescharacteristic
244C2×#11758202C2311yescharacteristic
245C2×#11758202C2311yescharacteristic
246C2×#11758202C2311yescharacteristic
247C2×#11758190C2311yescharacteristic
248C2×#11758190C2311yescharacteristic
249C2×#11758190C2311yescharacteristic
250C2×#11758190C2311yescharacteristic
251C2×#11758190C2311yescharacteristic
252C2×#11758200C2311yescharacteristic
253C2×#11758200C2311yescharacteristic
254C2×#11758200C2311yescharacteristic
255C2×#11758201C2311yescharacteristic
256C2×#11758201C2311yescharacteristic
257C2×D488C2311yescharacteristic
258C2×D488C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic
262C2×#11758194C2311yescharacteristic
263C2×#11758189C2311yescharacteristic
264C2×#11758189C2311yescharacteristic
265C22×#92418C2311yescharacteristic
266C2×C8×D61C2311yescharacteristic
267C2×C8×D61C2311yescharacteristic
268#14519777C2311yescharacteristic
269#14519776C2311yescharacteristic
270#14519775—21no—
271#14519775C2311yescharacteristic
272#14519773—21no—
273#14519773—21no—
274#14519773—21no—
275#14519773C2311yescharacteristic
276#14519773C2311yescharacteristic
277#14519771—21no—
278#14519771—21no—
279#14519770—21no—
280#14519770—21no—
281#14519768—21no—
282#14519766—21no—
283#14519766—21no—
284#14519765—21no—
285#14519765C2311yescharacteristic
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519762—21no—
290#14519762—21no—
291#14519762—21no—
292#14519761—21no—
293#14519761—21no—
294#14519761—21no—
295#14519761—21no—
296#14519759—21no—
297#14519759—21no—
298#14519759—21no—
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519759—21no—
303#14519757—21no—
304#14519757C2311yescharacteristic
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519757C2311yescharacteristic
309#14519756—21no—
310#14519756C2311yescharacteristic
311#14519756C2311yescharacteristic
312#14519756C2311yescharacteristic
313#14519753—21no—
314#14519753—21no—
315#14519753C2311yescharacteristic
316#14519752—21no—
317#14519752—21no—
318#14519752C2311yescharacteristic
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321#14519752C2311yescharacteristic
322#14519751—21no—
323#14519751—21no—
324#14519751C2311yescharacteristic
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519749—21no—
335#14519749—21no—
336#14519748—21no—
337#14519748—21no—
338#14519748C2311yescharacteristic
339#14519748C2311yescharacteristic
340#14519747—21no—
341#14519747—21no—
342#14519747—21no—
343#14519747—21no—
344#14519747—21no—
345#14519745—21no—
346#14519745—21no—
347#14519745—21no—
348#14519745—21no—
349#14519745—21no—
350Q8×Dic61—21no—
351Q8×Dic61C2311yescharacteristic
352C4×Dic122—21no—
353C4×Dic122—21no—
354#14519742C2311yescharacteristic
355#14519742C2311yescharacteristic
356C4×D244—21no—
357C4×D244—21no—
358C4×D244—21no—
359C4×D244—21no—
360C4×D244—21no—
361C4×D244—21no—
362C4×D244C2311yescharacteristic
363C4×D244C2311yescharacteristic
364C4×D244C2311yescharacteristic
365D4×Dic61—21no—
366D4×Dic61—21no—
367D4×Dic61—21no—
368D4×Dic61D411yescharacteristic
369#14519739—21no—
370#14519739—21no—
371#14519739D411yescharacteristic
372#14519739C2311yescharacteristic
373C4×C22⋊D61—21no—
374C4×C22⋊D61—21no—
375C4×C22⋊D61—21no—
376C4×C22⋊D61C2311yescharacteristic
377C4×C22⋊D61C2311yescharacteristic
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519737—21no—
384#14519737—21no—
385#14519737—21no—
386#14519737D411yescharacteristic
387#14519737D411yescharacteristic
388#14519735—21no—
389#14519735—21no—
390#14519735—21no—
391#14519735C2311yescharacteristic
392#14519735C2311yescharacteristic
393#14519735C2311yescharacteristic
394C2×C4⋊Dic61—21no—
395C4⋊C4×D61—21no—
396C4⋊C4×D61—21no—
397C4⋊C4×D61D411yescharacteristic
398C22⋊C4×D61—21no—
399C22⋊C4×D61—21no—
400C22⋊C4×D61D411yescharacteristic
401C22⋊C4×D61D411yescharacteristic
402C42×D61—21no—
403C42×D61C2311yescharacteristic
404#14519710C2311yescharacteristic
405#14519710C2311yescharacteristic
406#14519710C2311yescharacteristic
407#14519709C2311yescharacteristic
408#14519708C2311yescharacteristic
409C4⋊#92418C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519706C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434C22⋊#92418C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519689C2311yescharacteristic
444#14519688C2311yescharacteristic
445C8×Dic61C2311yescharacteristic
446C8×Dic61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×Q8×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454C4⋊Q8×C61C2311yescharacteristic
455#124×C61—21no—
456#124×C61—21no—
457#124×C61—21no—
458#124×C61C2311yescharacteristic
459C22⋊Q8×C61—21no—
460C22⋊Q8×C61C2311yescharacteristic
461#121×C61—21no—
462#121×C61—21no—
463#121×C61C2311yescharacteristic
464#121×C61C2311yescharacteristic
465#121×C61C2311yescharacteristic
466C4×Q8×C61C2311yescharacteristic
467C4×D4×C61—21no—
468C4×D4×C61C2311yescharacteristic
469C4×D4×C61C2311yescharacteristic
470#117×C61—21no—
471#117×C61C2311yescharacteristic
472#117×C61C2311yescharacteristic
473#107×C61C2311yescharacteristic
474#106×C61C2311yescharacteristic
475#106×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492C23×D61C2×D411yescharacteristic
493C23×D61C2×D411yescharacteristic
494#41×C61—22no—
495#41×C61—41no—
496C2×Q8×C61—21no—
497C2×Q8×C61—21no—
498C2×Q8×C61—22no—
499C2×Q8×C61—41no—
500C2×Q8×C61C2411yescharacteristic
501C2×Q8×C61C2411yescharacteristic
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61C2×D411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C2×D4×C61C2411yescharacteristic
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61C2411yescharacteristic
513C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61C2×D411yescharacteristic
534C22×Dic61C2×D411yescharacteristic
535#11758226—22no—
536#11758226—22no—
537#11758226—22no—
538#11758226—22no—
539#11758226—41no—
540#11758226—41no—
541#11758226—41no—
542#11758226—41no—
543#11758226—44no—
544#11758226—44no—
545Q8×D61—22no—
546Q8×D61—41no—
547#11758224—41no—
548#11758224—41no—
549#11758224—41no—
550#11758224—41no—
551#11758224—41no—
552#11758224—41no—
553#11758224—44no—
554D4×D61—22no—
555D4×D61—41no—
556D4×D61—42no—
557D4×D61—44no—
558D4×D61—44no—
559#11758222—22no—
560#11758222—41no—
561#11758222—41no—
562#11758222—41no—
563#11758222—41no—
564#11758222—41no—
565#11758222—44no—
566#11758222—44no—
567C2×D244—21no—
568C2×D244—22no—
569C2×D244—21no—
570C2×D244—21no—
571C2×D244—21no—
572C2×D244—21no—
573C2×D244—21no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—41no—
578C2×D244—44no—
579C2×D244C2×D411yescharacteristic
580C2×D244C2411yescharacteristic
581C2×D244C2411yescharacteristic
582C2×D244C2411yescharacteristic
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—41no—
595C2×C4×D61—41no—
596C2×C4×D61—41no—
597C2×C4×D61—41no—
598C2×C4×D61—44no—
599C2×C4×D61—44no—
600C2×C4×D61C2×D411yescharacteristic
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2×D411yescharacteristic
604C2×C4×D61C2×D411yescharacteristic
605C2×C4×D61C2×D411yescharacteristic
606C2×C4×D61C2411yescharacteristic
607C2×C4×D61C2411yescharacteristic
608C2×C4×D61C2411yescharacteristic
609C2×Dic122—21no—
610C2×Dic122—21no—
611C2×Dic122C2411yescharacteristic
612C2×Dic122C2411yescharacteristic
613C2×Dic122C2411yescharacteristic
614SD16×C61—22no—
615SD16×C61—41no—
616D8×C61—41no—
617M16×C61—41no—
618C2×C8×C61—41no—
619C2×C8×C61C2411yescharacteristic
620C2×C8×C61C2411yescharacteristic
621C2×C8×C61C2411yescharacteristic
622C2×C8×C61C2411yescharacteristic
623C4⋊C4×C61—21no—
624C4⋊C4×C61—21no—
625C4⋊C4×C61—21no—
626C4⋊C4×C61C2×D411yescharacteristic
627C4⋊C4×C61C2411yescharacteristic
628C4⋊C4×C61C2411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
630C4⋊C4×C61C2411yescharacteristic
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61C2×D411yescharacteristic
641C22⋊C4×C61C2×D411yescharacteristic
642C42×C61—21no—
643C42×C61—21no—
644C42×C61—21no—
645C42×C61C2411yescharacteristic
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61C2×D411yescharacteristic
652C22⋊Dic61C2×D411yescharacteristic
653#11758202—22no—
654#11758202—22no—
655#11758202—41no—
656#11758202—41no—
657#11758201—22no—
658#11758201—41no—
659#11758200—41no—
660#11758200—41no—
661#11758200—41no—
662#11758199—22no—
663#11758199—41no—
664#11758199—41no—
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#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198C2×D411yescharacteristic
685#11758198C2×D411yescharacteristic
686#11758198C2×D411yescharacteristic
687#11758198C2×D411yescharacteristic
688C4⋊Dic61—21no—
689C4⋊Dic61—21no—
690C4⋊Dic61—21no—
691C4⋊Dic61—21no—
692C4⋊Dic61—21no—
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61—21no—
696C4⋊Dic61C2×D411yescharacteristic
697C4⋊Dic61C2411yescharacteristic
698C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
708#11758196C2×D411yescharacteristic
709#11758196C2×D411yescharacteristic
710C4×Dic61—21no—
711C4×Dic61—21no—
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2×D411yescharacteristic
718C4×Dic61C2411yescharacteristic
719#11758194—41no—
720C2×#92418—41no—
721C2×#92418C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725Dic244—41no—
726Dic244—41no—
727D488—22no—
728D488—41no—
729#11758190—22no—
730#11758190—22no—
731#11758190—41no—
732#11758190—41no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61C22×D411yescharacteristic
741C23×C61C22×D411yescharacteristic
742C22×D61—21no—
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—41no—
746C22×D61—41no—
747C22×D61—41no—
748C22×D61—41no—
749C22×D61—41no—
750C22×D61—41no—
751C22×D61—42no—
752C22×D61—42no—
753C22×D61—42no—
754C22×D61—42no—
755C22×D61—81no—
756C22×D61—81no—
757C22×D61C22×D411yescharacteristic
758C22×D61C22×D411yescharacteristic
759C22×D61C22×D411yescharacteristic
760Q8×C61—21no—
761Q8×C61—21no—
762Q8×C61—21no—
763Q8×C61—42no—
764Q8×C61—81no—
765Q8×C61H(5,𝔽2)12yes—
766D4×C61—21no—
767D4×C61—21no—
768D4×C61—21no—
769D4×C61—21no—
770D4×C61—41no—
771D4×C61—42no—
772D4×C61—42no—
773D4×C61—81no—
774D4×C61—81no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—42no—
786C2×C4×C61—42no—
787C2×C4×C61—42no—
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C22×D411yescharacteristic
791C2×C4×C61C22×D411yescharacteristic
792C2×C4×C61C2511yescharacteristic
793C22⋊D61—22no—
794C22⋊D61—22no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—42no—
801C22⋊D61—81no—
802C22⋊D61—81no—
803C22⋊D61—81no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—41no—
815C2×Dic61—41no—
816C2×Dic61—42no—
817C2×Dic61—81no—
818C2×Dic61—81no—
819C2×Dic61C22×D411yescharacteristic
820C2×Dic61C22×D411yescharacteristic
821C2×Dic61C22×D411yescharacteristic
822C2×Dic61C22×D411yescharacteristic
823C2×Dic61C22×D411yescharacteristic
824D244—24no—
825D244—21no—
826D244—21no—
827D244—21no—
828D244—21no—
829D244—21no—
830D244—41no—
831D244—42no—
832D244—42no—
833D244—42no—
834D244—42no—
835D244—42no—
836D244—42no—
837D244—81no—
838D244—81no—
839D244H(5,𝔽2)12yes—
840C4×D61—24no—
841C4×D61—21no—
842C4×D61—21no—
843C4×D61—21no—
844C4×D61—21no—
845C4×D61—21no—
846C4×D61—21no—
847C4×D61—22no—
848C4×D61—41no—
849C4×D61—41no—
850C4×D61—41no—
851C4×D61—41no—
852C4×D61—41no—
853C4×D61—42no—
854C4×D61—42no—
855C4×D61—42no—
856C4×D61—42no—
857C4×D61—42no—
858C4×D61—42no—
859C4×D61—42no—
860C4×D61—81no—
861C4×D61—81no—
862C4×D61—81no—
863Dic122—21no—
864Dic122—21no—
865Dic122—21no—
866Dic122—21no—
867Dic122—21no—
868Dic122—21no—
869Dic122—42no—
870Dic122—42no—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61608—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61C23×D411yescharacteristic
893C2×D61—21no—
894C2×D61—21no—
895C2×D61—21no—
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—22no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—21no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—82no—
912C2×D61—82no—
913C2×D61—84no—
914C2×D61—84no—
915C4×C61—21no—
916C4×C61—22no—
917C4×C61—21no—
918C4×C61—21no—
919C4×C61—21no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61C2×H(5,𝔽2)11yescharacteristic
926C4×C61C2×H(5,𝔽2)11yescharacteristic
927Dic61—21no—
928Dic61—21no—
929Dic61—21no—
930Dic61—21no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61#57512yes—
937#3506—611no—
938D4×#41—611no—
939#3328—611no—
940#3324—611no—
941#3321—611no—
942#3321D6111yescharacteristic, complemented
943#3319—611no—
944#3319—611no—
945#3304—611no—
946#3302—611no—
947#3287—611no—
948#3284—611no—
949#3278—611no—
950#3274—611no—
951#3269—611no—
952#3269—611no—
953#3267—611no—
954#3267—611no—
955#3216—611no—
956#3207—611no—
957#3197—611no—
958#3197—611no—
959#3191—611no—
960#3191—611no—
961#3115—611no—
962#3107—611no—
963#3005—611no—
964#3005—611no—
965#3002—611no—
966#3002—611no—
967#2974—611no—
968C2×C61—41no—
969C2×C61—41no—
970C2×C61—81no—
971C2×C61—81no—
972C2×C61#348411yescharacteristic
973C2×C61C2×#57511yescharacteristic
974C2×C61#358411yescharacteristic
975D61—41no—
976D61—41no—
977D61—41no—
978D61—42no—
979D61—81no—
980D61—81no—
981C22×#41—611no—
982C22×#41—611no—
983C2×#137—611no—
984C2×#137—611no—
985C2×AGL(1,ℤ/8)—611no—
986C2×AGL(1,ℤ/8)—611no—
987C2×#135—611no—
988C2×#135—611no—
989C2×#135—611no—
990C2×#135—611no—
991#559—1221no—
992#559—1221no—
993#556—611no—
994#556—611no—
995#555—611no—
996#555C2×D6111yescharacteristic, complemented
997#553—1221no—
998#553—1221no—
999#550—611no—
1000#550—611no—
1001#550—611no—
1002D4×Q8—611no—
1003#548—611no—
1004#548C2×D6111yescharacteristic
1005#547—611no—
1006#547—611no—
1007#547—611no—
1008#547—1221no—
1009#546—611no—
1010#546—611no—
1011#546—1221no—
1012#546—1221no—
1013D42—611no—
1014D42—1221no—
1015#538—1221no—
1016#538—1221no—
1017#535—1221no—
1018#533—611no—
1019#532—611no—
1020#532—611no—
1021#532—1221no—
1022#525—611no—
1023#525—611no—
1024#525—611no—
1025#525—611no—
1026#525—611no—
1027#525—611no—
1028#525—1221no—
1029#525—1221no—
1030#520—1221no—
1031C4×#41—611no—
1032C2×C4×D4—611no—
1033C2×C4×D4—1221no—
1034#497—611no—
1035#497—611no—
1036#493—611no—
1037#492—611no—
1038#489—611no—
1039#489C2×D6111yescharacteristic, complemented
1040#487—611no—
1041#486—611no—
1042#485—611no—
1043#485—611no—
1044#485—611no—
1045#485—611no—
1046#485—611no—
1047#485C2×D6111yescharacteristic, complemented
1048#482—611no—
1049#482—611no—
1050#482—611no—
1051#482—611no—
1052#482—611no—
1053#482C2×D6111yescharacteristic, complemented
1054#475—611no—
1055#475C2×D6111yescharacteristic, complemented
1056#474—611no—
1057#474—611no—
1058#470—611no—
1059#470—611no—
1060#469—611no—
1061#469C2×D6111yescharacteristic, complemented
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468—611no—
1066#467—611no—
1067#467—611no—
1068#466—611no—
1069#466—611no—
1070#465—611no—
1071#465—611no—
1072#465—611no—
1073#465C2×D6111yescharacteristic, complemented
1074#463—611no—
1075#463—611no—
1076#463—611no—
1077#463C2×D6111yescharacteristic, complemented
1078#462—611no—
1079#462—611no—
1080#462—611no—
1081#461—611no—
1082#460—611no—
1083#460—611no—
1084#460—611no—
1085#459—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452—611no—
1094#452—611no—
1095#452—611no—
1096#452—611no—
1097#452—611no—
1098#452—611no—
1099#452—611no—
1100#451—611no—
1101#451—611no—
1102#450—611no—
1103#450—611no—
1104#449—611no—
1105#449—611no—
1106#449—611no—
1107#449—611no—
1108#449—611no—
1109#449—611no—
1110#449—611no—
1111#449—611no—
1112#449—611no—
1113#449—611no—
1114#449—611no—
1115#449—611no—
1116#449—611no—
1117#449C2×D6111yescharacteristic, complemented
1118#448—611no—
1119#448C2×D6111yescharacteristic, complemented
1120#447—611no—
1121#447—611no—
1122#442—611no—
1123#442—611no—
1124#440—611no—
1125#440C2×D6111yescharacteristic, complemented
1126C4×Q16—611no—
1127C4×Q16—611no—
1128C4×SD16—611no—
1129C4×SD16—611no—
1130#436—611no—
1131#436—611no—
1132#435—611no—
1133#435—611no—
1134#435—611no—
1135#435C2×D6111yescharacteristic, complemented
1136C8×D4—611no—
1137C8×D4—611no—
1138#432—611no—
1139#431—611no—
1140#419—611no—
1141#419C2×D6111yescharacteristic, complemented
1142#418—611no—
1143#418—611no—
1144#416—611no—
1145#416—611no—
1146#416—611no—
1147#416C2×D6111yescharacteristic, complemented
1148#407—611no—
1149#407—611no—
1150C2×C22⋊C8—611no—
1151C2×C22⋊C8—611no—
1152C61#6160811yescharacteristic, complemented, Sylow
1153C2×#41—611no—
1154C2×#41—611no—
1155C2×#41—611no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—611no—
1163C2×#41—1221no—
1164C2×#41—1221no—
1165C2×#41—1221no—
1166C2×#41—1221no—
1167C2×#41—1221no—
1168C2×#41—2442no—
1169C2×#41—2442no—
1170C2×#41—2442no—
1171C2×#41—2442no—
1172C2×#41C22×D6111yescharacteristic
1173C22×Q8—611no—
1174C22×Q8C22×D6111yescharacteristic
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—1221no—
1179C22×D4—1221no—
1180C22×D4—1221no—
1181C23×C4—611no—
1182C23×C4—611no—
1183C23×C4—1221no—
1184C23×C4—1221no—
1185#137—2442no—
1186#137—2442no—
1187AGL(1,ℤ/8)—2442no—
1188AGL(1,ℤ/8)—2442no—
1189#135—2442no—
1190#135—2442no—
1191#135—2442no—
1192#135—2442no—
1193C2×Q16—611no—
1194C2×Q16—611no—
1195C2×Q16—611no—
1196C2×Q16—611no—
1197C2×Q16—611no—
1198C2×Q16—611no—
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—611no—
1203C2×SD16—611no—
1204C2×SD16—611no—
1205C2×SD16—611no—
1206C2×SD16—611no—
1207C2×SD16—611no—
1208C2×SD16—611no—
1209C2×SD16C22×D6111yescharacteristic
1210C2×SD16C22×D6111yescharacteristic
1211C2×D8—611no—
1212C2×D8—611no—
1213C2×D8—611no—
1214C2×D8—611no—
1215C2×D8—611no—
1216C2×D8C22×D6111yescharacteristic
1217C2×M16—611no—
1218C2×M16—611no—
1219C2×M16—611no—
1220C2×M16C22×D6111yescharacteristic
1221C22×C8—611no—
1222C22×C8—611no—
1223C22×C8—611no—
1224C22×C8C22×D6111yescharacteristic
1225C4⋊Q8—611no—
1226C4⋊Q8—611no—
1227C4⋊Q8—611no—
1228C4⋊Q8—1221no—
1229C4⋊Q8C22×D6111yescharacteristic
1230#127—611no—
1231#127—611no—
1232#127—1221no—
1233#127—1221no—
1234#127—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#125—1221no—
1240#124—21no—
1241#124—21no—
1242#124—21no—
1243#124—611no—
1244#124—1221no—
1245#124—1221no—
1246#124—1221no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124C22×D6111yescharacteristic
1251#123—1221no—
1252#123—1221no—
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—
1265C22⋊Q8—21no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—611no—
1270C22⋊Q8—611no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—611no—
1274C22⋊Q8—611no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8C22×D6111yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—611no—
1283#121—611no—
1284#121—611no—
1285#121—611no—
1286#121—611no—
1287#121—611no—
1288#121—611no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
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#121C22×D6111yescharacteristic
1307#121C22×D6111yescharacteristic
1308#121C22×D6111yescharacteristic
1309#120—1221no—
1310#120—1221no—
1311#120—1221no—
1312#120—1221no—
1313#120—1221no—
1314#120—1221no—
1315#120—1221no—
1316#120—1221no—
1317#120—1221no—
1318#120—1221no—
1319C4×Q8—611no—
1320C4×Q8—611no—
1321C4×Q8—611no—
1322C4×Q8—1221no—
1323C4×Q8—1221no—
1324C4×Q8—1221no—
1325C4×Q8C22×D6111yescharacteristic
1326C4×D4—21no—
1327C4×D4—611no—
1328C4×D4—611no—
1329C4×D4—611no—
1330C4×D4—611no—
1331C4×D4—611no—
1332C4×D4—611no—
1333C4×D4—611no—
1334C4×D4—611no—
1335C4×D4—611no—
1336C4×D4—611no—
1337C4×D4—1221no—
1338C4×D4—1221no—
1339C4×D4—1221no—
1340C4×D4—1221no—
1341C4×D4—1221no—
1342C4×D4—1221no—
1343C4×D4—1221no—
1344C4×D4—1221no—
1345C4×D4—1221no—
1346C4×D4—1221no—
1347C4×D4—1221no—
1348C4×D4—1221no—
1349C4×D4—1221no—
1350C4×D4—1221no—
1351C4×D4—1221no—
1352C4×D4—1221no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4C22×D6111yescharacteristic
1360C4×D4C22×D6111yescharacteristic
1361#117—21no—
1362#117—611no—
1363#117—611no—
1364#117—611no—
1365#117—1221no—
1366#117—1221no—
1367#117—1221no—
1368#117C22×D6111yescharacteristic
1369#117C22×D6111yescharacteristic
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—1221no—
1372C2×C4⋊C4—1221no—
1373C2×C4⋊C4—1221no—
1374C2×C22⋊C4—611no—
1375C2×C22⋊C4—611no—
1376C2×C22⋊C4—1221no—
1377C2×C22⋊C4—1221no—
1378C2×C42—611no—
1379C2×C42—1221no—
1380#107—611no—
1381#107—611no—
1382#107—611no—
1383#107C22×D6111yescharacteristic
1384#106—611no—
1385#106—611no—
1386#106C22×D6111yescharacteristic
1387#106C22×D6111yescharacteristic
1388C4⋊C8—611no—
1389C4⋊C8—611no—
1390C4⋊C8—611no—
1391C4⋊C8C22×D6111yescharacteristic
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103C22×D6111yescharacteristic
1403#103C22×D6111yescharacteristic
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#103C22×D6111yescharacteristic
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102—611no—
1420#102C22×D6111yescharacteristic
1421#102C22×D6111yescharacteristic
1422#102C22×D6111yescharacteristic
1423#102C22×D6111yescharacteristic
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8—611no—
1433C22⋊C8—611no—
1434C22⋊C8C22×D6111yescharacteristic
1435C22⋊C8C22×D6111yescharacteristic
1436#97—611no—
1437#97C22×D6111yescharacteristic
1438C4×C8—611no—
1439C4×C8—611no—
1440C24—611no—
1441C24—611no—
1442C24—1221no—
1443C24—1221no—
1444#41—22no—
1445#41—41no—
1446#41—1222no—
1447#41—1222no—
1448#41—1222no—
1449#41—1222no—
1450#41—1222no—
1451#41—2441no—
1452#41—2441no—
1453#41—2441no—
1454#41—2441no—
1455#41—2441no—
1456#41—2444no—
1457#41—2444no—
1458#41—2441no—
1459#41—2441no—
1460#41—2441no—
1461#41—2441no—
1462#41—2441no—
1463#41—2441no—
1464#41—2444no—
1465#41—2441no—
1466#41—2441no—
1467#41—2441no—
1468#41—2441no—
1469#41—2444no—
1470#41—2444no—
1471C2×Q8—21no—
1472C2×Q8—21no—
1473C2×Q8—22no—
1474C2×Q8—41no—
1475C2×Q8—611no—
1476C2×Q8—611no—
1477C2×Q8—611no—
1478C2×Q8—1221no—
1479C2×Q8—1221no—
1480C2×Q8—1222no—
1481C2×Q8—2441no—
1482C2×Q8C23×D6111yescharacteristic
1483C2×Q8C23×D6111yescharacteristic
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—611no—
1489C2×D4—611no—
1490C2×D4—611no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—611no—
1494C2×D4—1222no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—1221no—
1498C2×D4—1221no—
1499C2×D4—1221no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4—1221no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1222no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—2441no—
1520C2×D4—2444no—
1521C2×D4—2441no—
1522C2×D4—2442no—
1523C2×D4—2444no—
1524C2×D4—2444no—
1525C2×D4D4×D6111yescharacteristic
1526C2×D4C23×D6111yescharacteristic
1527C2×D4C23×D6111yescharacteristic
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—611no—
1532C22×C4—611no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—611no—
1538C22×C4—611no—
1539C22×C4—611no—
1540C22×C4—611no—
1541C22×C4—611no—
1542C22×C4—1221no—
1543C22×C4—1221no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—1221no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—2441no—
1557C22×C4—2441no—
1558C22×C4—2441no—
1559C22×C4—2441no—
1560C22×C4—2444no—
1561C22×C4—2444no—
1562C22×C4C23×D6111yescharacteristic
1563C22×C4C23×D6111yescharacteristic
1564Q16—1222no—
1565Q16—1222no—
1566Q16—2441no—
1567Q16—2441no—
1568Q16—2441no—
1569Q16—2441no—
1570SD16—22no—
1571SD16—41no—
1572SD16—1222no—
1573SD16—1222no—
1574SD16—1222no—
1575SD16—2441no—
1576SD16—2441no—
1577SD16—2441no—
1578SD16—2441no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582D8—41no—
1583D8—1222no—
1584D8—1222no—
1585D8—2441no—
1586D8—2441no—
1587D8—2441no—
1588M16—41no—
1589M16—2441no—
1590M16—2441no—
1591M16—2441no—
1592C2×C8—41no—
1593C2×C8—611no—
1594C2×C8—611no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—2441no—
1598C2×C8—2441no—
1599C2×C8—2441no—
1600C2×C8C23×D6111yescharacteristic
1601C2×C8C23×D6111yescharacteristic
1602C2×C8C23×D6111yescharacteristic
1603C2×C8C23×D6111yescharacteristic
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—611no—
1608C4⋊C4—611no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—1221no—
1613C4⋊C4—1221no—
1614C4⋊C4—1221no—
1615C4⋊C4—1221no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4D4×D6111yescharacteristic
1630C4⋊C4C23×D6111yescharacteristic
1631C4⋊C4C23×D6111yescharacteristic
1632C4⋊C4C23×D6111yescharacteristic
1633C4⋊C4C23×D6111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—611no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4D4×D6111yescharacteristic
1674C22⋊C4D4×D6111yescharacteristic
1675C42—21no—
1676C42—21no—
1677C42—21no—
1678C42—611no—
1679C42—611no—
1680C42—611no—
1681C42—1221no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42—1221no—
1686C42—1221no—
1687C42C23×D6111yescharacteristic
1688C23—21no—
1689C23—21no—
1690C23—611no—
1691C23—611no—
1692C23—611no—
1693C23—1221no—
1694C23—1221no—
1695C23—1221no—
1696C23—4881no—
1697C23—4881no—
1698C23—2441no—
1699C23—2441no—
1700C23—2441no—
1701C23—2441no—
1702C23—2441no—
1703C23—2441no—
1704C23—2442no—
1705C23—2442no—
1706C23—2442no—
1707C23—2442no—
1708C23C2×D4×D6111yescharacteristic
1709C23C2×D4×D6111yescharacteristic
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—42no—
1714Q8—81no—
1715Q8—1221no—
1716Q8—1221no—
1717Q8—1221no—
1718Q8—1221no—
1719Q8—1221no—
1720Q8—1221no—
1721Q8—2442no—
1722Q8—2442no—
1723Q8#1451982312yes—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—41no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—81no—
1733D4—612no—
1734D4—1224no—
1735D4—1222no—
1736D4—1222no—
1737D4—1221no—
1738D4—1221no—
1739D4—1221no—
1740D4—1221no—
1741D4—1221no—
1742D4—4881no—
1743D4—4881no—
1744D4—4881no—
1745D4—4881no—
1746D4—4881no—
1747D4—4881no—
1748D4—4881no—
1749D4—4881no—
1750D4—4881no—
1751D4—4881no—
1752D4—2441no—
1753D4—2442no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2442no—
1758D4—2442no—
1759D4—2442no—
1760D4—2442no—
1761D4—2442no—
1762D4—2442no—
1763D4—2442no—
1764D4—2442no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—611no—
1779C2×C4—611no—
1780C2×C4—611no—
1781C2×C4—611no—
1782C2×C4—611no—
1783C2×C4—1222no—
1784C2×C4—1224no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—4881no—
1797C2×C4—4881no—
1798C2×C4—4881no—
1799C2×C4—4881no—
1800C2×C4—4881no—
1801C2×C4—2441no—
1802C2×C4—2441no—
1803C2×C4—2441no—
1804C2×C4—2441no—
1805C2×C4—2441no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2442no—
1811C2×C4—2442no—
1812C2×C4—2442no—
1813C2×C4—2441no—
1814C2×C4—2441no—
1815C2×C4—2442no—
1816C2×C4C2×D4×D6111yescharacteristic
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C2×D4×D6111yescharacteristic
1819C2×C4C2×D4×D6111yescharacteristic
1820C2×C4C24×D6111yescharacteristic
1821C8—21no—
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—1221no—
1826C8—1221no—
1827C8—1221no—
1828C8—1221no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—1221no—
1842C22—1221no—
1843C22—1221no—
1844C22—1221no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1222no—
1849C22—1221no—
1850C22—1221no—
1851C22—4884no—
1852C22—4882no—
1853C22—4882no—
1854C22—4884no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22C22×D4×D6111yescharacteristic
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—612no—
1875C4—1221no—
1876C4—1221no—
1877C4—1221no—
1878C4—1221no—
1879C4—2441no—
1880C4—2441no—
1881C4—2441no—
1882C4—2441no—
1883C4—2441no—
1884C4H(5,𝔽2)×D6111yescharacteristic
1885C4C2×#1451982311yescharacteristic
1886C2—41no—
1887C2—41no—
1888C2—81no—
1889C2—81no—
1890C2—4881no—
1891C2—4881no—
1892C2—2441no—
1893C2—2441no—
1894C2—2441no—
1895C2—2442no—
1896C2#2145944911yescharacteristic
1897C2#575×D6111yescharacteristic
1898C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3321C2
socleC22×C61C23×D4
hypercenter#3321D61
hypocenterC61#61608
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #21459661C2semidirect
2. #21459308C2semidirect
3. #21458098C2semidirect
4. #21458048C2semidirect
5. #21458002C2semidirect
6. #21457974C2semidirect
7. #21457969C2semidirect
8. #21457754C2semidirect
9. #21457734C2semidirect
10. #21457572C2semidirect
11. #21457546C2semidirect
12. #21457483C2semidirect
13. #21457436C2semidirect
14. #21457376C2semidirect
15. #21457375C2semidirect
16. #21457349C2semidirect
17. #21457339C2semidirect
18. #21456831C2semidirect
19. #21456751C2semidirect
20. #21456663C2semidirect
21. #21456655C2semidirect
22. #21456610C2semidirect
23. #21456608C2semidirect
24. #21455968C2semidirect
25. #21455893C2semidirect
26. #21455065C2semidirect
27. #21455057C2semidirect
28. #21455039C2semidirect
29. #21455036C2semidirect
30. #21454849C2semidirect
31. C61×#3321C2semidirect
34. C2×#14519808C22semidirect
35. C2×#14519806C22semidirect
36. C2×#14519805C22semidirect
37. C2×#14519801C22semidirect
38. C2×#14519799C22semidirect
39. C2×#14519798C22semidirect
40. C2×#14519798C22semidirect
41. C2×#14519797C22semidirect
45. #16840480C22semidirect
46. #16840478C22semidirect
51. #16840430C22semidirect
54. #16840417C22semidirect
55. #16840416C22semidirect
67. #16840317C22semidirect
70. #16840309C22semidirect
73. #16840274C22semidirect
74. #16840274C22semidirect
77. #16840272C22semidirect
78. #16840272C22semidirect
83. #16840157C22semidirect
84. #16840156C22semidirect
85. #16840137C22semidirect
86. #16840133C22semidirect
87. #16840124C22semidirect
88. #16840111C22semidirect
89. #16840107C22semidirect
90. #16840106C22semidirect
91. #16840106C22semidirect
92. #16840106C22semidirect
93. #16840103C22semidirect
94. #16840101C22semidirect
95. #16840089C22semidirect
96. #16840088C22semidirect
97. #16840086C22semidirect
98. #16840085C22semidirect
99. #16840085C22semidirect
100. #16840045C22semidirect
101. #16840041C22semidirect
102. #16840039C22semidirect
103. #16840020C22semidirect
104. #16840019C22semidirect
105. #16840016C22semidirect
106. #16840011C22semidirect
107. #16840009C22semidirect
108. #16840006C22semidirect
109. #16840006C22semidirect
110. #16840004C22semidirect
111. #16840001C22semidirect
112. #16839997C22semidirect
113. #16839996C22semidirect
114. #16839992C22semidirect
115. #16839991C22semidirect
116. #16839990C22semidirect
117. #16839978C22semidirect
118. #16839977C22semidirect
119. #16839974C22semidirect
120. #16839972C22semidirect
121. #16839971C22semidirect
122. #16839971C22semidirect
123. #16839968C22semidirect
124. #16839961C22semidirect
125. #16839961C22semidirect
126. #16839960C22semidirect
127. #16839956C22semidirect
130. #16839927C22semidirect
131. #16839927C22semidirect
132. #16839927C22semidirect
133. #16839927C22semidirect
134. #16839926C22semidirect
135. #16839926C22semidirect
136. #16839925C22semidirect
137. #16839925C22semidirect
138. #16839925C22semidirect
139. #16839924C22semidirect
140. #16839922C22semidirect
141. #16839921C22semidirect
142. #16839919C22semidirect
143. #16839918C22semidirect
144. #16839915C22semidirect
145. #16839914C22semidirect
147. #16839910C22semidirect
148. #16839910C22semidirect
149. #16839910C22semidirect
150. #16839909C22semidirect
151. #16839908C22semidirect
152. #16839908C22semidirect
154. #16839906C22semidirect
155. #16839905C22semidirect
156. #16839905C22semidirect
157. #16839904C22semidirect
158. #16839904C22semidirect
159. #16839902C22semidirect
160. #16839897C22semidirect
161. #16839895C22semidirect
162. #16839875C22semidirect
163. #16839872C22semidirect
164. #16839860C22semidirect
165. #16839854C22semidirect
166. #16839854C22semidirect
167. #16839849C22semidirect
168. #16839849C22semidirect
171. #16839835C22semidirect
172. #16839834C22semidirect
173. #16839832C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839825C22semidirect
176. #16839817C22semidirect
177. #16839814C22semidirect
178. #16839769C22semidirect
179. #16839766C22semidirect
180. #16839765C22semidirect
181. #16839757C22semidirect
182. #16839757C22semidirect
183. #16839756C22semidirect
184. #16839725C22semidirect
185. #16839724C22semidirect
186. C2×#14519689C22semidirect
187. C22⋊C8×D61C22semidirect
188. C61×#555C22semidirect
190. C61×#489C22semidirect
191. C61×#485C22semidirect
192. C61×#482C22semidirect
193. C61×#475C22semidirect
194. C61×#469C22semidirect
195. C61×#465C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
198. C61×#448C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#419C22semidirect
202. C61×#416C22semidirect
942. #3321D61semidirect
996. #555C2×D61semidirect
1039. #489C2×D61semidirect
1047. #485C2×D61semidirect
1053. #482C2×D61semidirect
1055. #475C2×D61semidirect
1061. #469C2×D61semidirect
1073. #465C2×D61semidirect
1077. #463C2×D61semidirect
1117. #449C2×D61semidirect
1119. #448C2×D61semidirect
1125. #440C2×D61semidirect
1135. #435C2×D61semidirect
1141. #419C2×D61semidirect
1147. #416C2×D61semidirect
1152. C61#61608semidirect

Maximal subgroups

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

subgroupindex
#214596612
#214593082
#214580982
#214580482
#214580022
#214579742
#214579692
#214577542
#214577342
#214575722
#214575462
#214574832
#214574362
#214573762
#214573752
#214573492
#214573392
#214568312
#214567512
#214566632
#214566552
#214566102
#214566082
#214559682
#214558932
#214550652
#214550572
#214550392
#214550362
#214548492
C61×#33212
#6160861