Finite Group Databasebeta

← #30557088

Subgroups — #30557088

Order 15616.

2172 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459378C211yesmaximal, characteristic, complemented
2#550×D61C211yesmaximal, characteristic, complemented
3#21458155C211yesmaximal, characteristic, complemented
4#21458153C211yesmaximal, characteristic, complemented
5#21458141C211yesmaximal, characteristic, complemented
6#21458139C211yesmaximal, characteristic, complemented
7#21457947C211yesmaximal, characteristic, complemented
8#21457945C211yesmaximal, characteristic, complemented
9#21457944C211yesmaximal, characteristic, complemented
10#21457942C211yesmaximal, characteristic, complemented
11#21457832C211yesmaximal, characteristic, complemented
12#21457830C211yesmaximal, characteristic, complemented
13#21457819C211yesmaximal, characteristic, complemented
14#21457764C211yesmaximal, characteristic, complemented
15#21457762C211yesmaximal, characteristic, complemented
16#21457756C211yesmaximal, characteristic, complemented
17#21457754C211yesmaximal, characteristic, complemented
18#21456192C211yesmaximal, characteristic, complemented
19#21455758C211yesmaximal, characteristic, complemented
20#21455754C211yesmaximal, characteristic, complemented
21#21455622C211yesmaximal, characteristic, complemented
22#21455437C211yesmaximal, characteristic, complemented
23#21455435C211yesmaximal, characteristic, complemented
24#21455294C211yesmaximal, characteristic, complemented
25#21455057C211yesmaximal, characteristic, complemented
26#21455057C211yesmaximal, characteristic, complemented
27#21454641C211yesmaximal, characteristic, complemented
28#21454552C211yesmaximal, characteristic, complemented
29#21454335C211yesmaximal, characteristic, complemented
30#21454334C211yesmaximal, characteristic, complemented
31C61×#3309C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35C2×#14519801C2211yescharacteristic
36C2×#14519801C2211yescharacteristic
37C22×#11758189C2211yescharacteristic
38C2×M16×D61C2211yescharacteristic
39#16840480C2211yescharacteristic, complemented
40#16840476C2211yescharacteristic, complemented
41#16840467C2211yescharacteristic, complemented
42#16840462C2211yescharacteristic, complemented
43#16840452C2211yescharacteristic, complemented
44#16840450C2211yescharacteristic, complemented
45#16840448—21no—
46#16840441—21no—
47#16840440—21no—
48#16840434C2211yescharacteristic
49#16840433—21no—
50#16840433C2211yescharacteristic
51#16840432—21no—
52#16840432C2211yescharacteristic
53#16840431C2211yescharacteristic
54#16840431C2211yescharacteristic
55#16840430—21no—
56#16840430—21no—
57#16840430C2211yescharacteristic
58#16840430C2211yescharacteristic
59#16840412C2211yescharacteristic, complemented
60#16840401—21no—
61#16840318C2211yescharacteristic
62#127×D61—21no—
63#127×D61C2211yescharacteristic
64#16840295—21no—
65#16840293—21no—
66#16840289—21no—
67#16840272C2211yescharacteristic
68#16840272C2211yescharacteristic
69#121×D61—21no—
70#121×D61—21no—
71#121×D61C2211yescharacteristic
72#121×D61C2211yescharacteristic
73C4×#11758224—21no—
74C4×#11758224C2211yescharacteristic
75C4×Q8×D61C2211yescharacteristic
76C4×D4×D61—21no—
77C4×D4×D61C2211yescharacteristic
78C2×#14519735C2211yescharacteristic
79#117×D61C2211yescharacteristic
80#16840128C2211yescharacteristic, complemented
81#16840127C2211yescharacteristic, complemented
82#16840126C2211yescharacteristic, complemented
83#16840107C2211yescharacteristic, complemented
84#16840107C2211yescharacteristic, complemented
85#16840107C2211yescharacteristic, complemented
86#16840107C2211yescharacteristic, complemented
87#16840089C2211yescharacteristic, complemented
88#16840089C2211yescharacteristic, complemented
89#16840087C2211yescharacteristic, complemented
90#16840086C2211yescharacteristic, complemented
91#16840085C2211yescharacteristic, complemented
92#16840085C2211yescharacteristic, complemented
93#16840083C2211yescharacteristic, complemented
94#16840082C2211yescharacteristic, complemented
95#16840081C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840078C2211yescharacteristic, complemented
98#16840077C2211yescharacteristic, complemented
99#16840075C2211yescharacteristic, complemented
100#16840074C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840066C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840055C2211yescharacteristic, complemented
106#16840046C2211yescharacteristic, complemented
107#16840045C2211yescharacteristic, complemented
108#16840014C2211yescharacteristic, complemented
109#16840013C2211yescharacteristic, complemented
110#16840012C2211yescharacteristic, complemented
111#16840009C2211yescharacteristic, complemented
112#16840008C2211yescharacteristic, complemented
113#16840007C2211yescharacteristic, complemented
114#16840006C2211yescharacteristic, complemented
115#16839997C2211yescharacteristic, complemented
116#16839996C2211yescharacteristic, complemented
117#16839995C2211yescharacteristic, complemented
118#16839992C2211yescharacteristic, complemented
119#16839991C2211yescharacteristic, complemented
120#16839990C2211yescharacteristic, complemented
121#16839989C2211yescharacteristic, complemented
122#16839963C2211yescharacteristic, complemented
123#16839961C2211yescharacteristic, complemented
124#16839961C2211yescharacteristic, complemented
125#16839959C2211yescharacteristic, complemented
126#16839957C2211yescharacteristic, complemented
127#16839955C2211yescharacteristic, complemented
128#16839955C2211yescharacteristic, complemented
129#16839927C2211yescharacteristic, complemented
130#16839927C2211yescharacteristic, complemented
131#16839926C2211yescharacteristic, complemented
132#16839926C2211yescharacteristic, complemented
133#16839925C2211yescharacteristic, complemented
134#16839925C2211yescharacteristic, complemented
135#16839924C2211yescharacteristic, complemented
136#16839924C2211yescharacteristic, complemented
137#16839906C2211yescharacteristic, complemented
138#16839906C2211yescharacteristic, complemented
139#16839905C2211yescharacteristic, complemented
140#16839905C2211yescharacteristic, complemented
141#16839904C2211yescharacteristic, complemented
142#16839904C2211yescharacteristic, complemented
143#16839870C2211yescharacteristic, complemented
144#16839867C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839856C2211yescharacteristic, complemented
147#16839854C2211yescharacteristic, complemented
148#16839853C2211yescharacteristic, complemented
149SD16×Dic61C2211yescharacteristic, complemented
150#16839838C2211yescharacteristic, complemented
151#16839837C2211yescharacteristic, complemented
152#16839835C2211yescharacteristic, complemented
153#16839834C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155C8×C22⋊D61C2211yescharacteristic, complemented
156#16839825C2211yescharacteristic, complemented
157#16839803C2211yescharacteristic
158#16839803C2211yescharacteristic
159#16839801C2211yescharacteristic
160#16839784C2211yescharacteristic
161#16839769C2211yescharacteristic
162#16839769C2211yescharacteristic
163#16839769C2211yescharacteristic
164#16839765C2211yescharacteristic
165#16839765C2211yescharacteristic
166#16839765C2211yescharacteristic
167#16839765C2211yescharacteristic
168#16839765C2211yescharacteristic
169#16839765C2211yescharacteristic
170#16839764C2211yescharacteristic, complemented
171#16839763C2211yescharacteristic, complemented
172#16839762C2211yescharacteristic, complemented
173#16839762C2211yescharacteristic, complemented
174#16839761C2211yescharacteristic, complemented
175#16839760C2211yescharacteristic
176#16839760C2211yescharacteristic, complemented
177#16839760C2211yescharacteristic, complemented
178#16839759C2211yescharacteristic, complemented
179#16839758C2211yescharacteristic, complemented
180#16839757C2211yescharacteristic, complemented
181#16839757C2211yescharacteristic, complemented
182#16839756C2211yescharacteristic, complemented
183#16839755C2211yescharacteristic, complemented
184#16839755C2211yescharacteristic, complemented
185#16839724C2211yescharacteristic
186#16839724C2211yescharacteristic
187#16839714C2211yescharacteristic
188C61×#553C2211yescharacteristic, complemented
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#459C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#449C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224C2311yescharacteristic
213C2×#11758224C2311yescharacteristic
214C2×#11758224C2311yescharacteristic
215#41×D61—24no—
216#41×D61—24no—
217#41×D61—42no—
218#41×D61—42no—
219C2×Q8×D61C2311yescharacteristic
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61D411yescharacteristic
227C2×D4×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C22×C4×D61—21no—
230C22×C4×D61—21no—
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233#14519806—24no—
234#14519801—42no—
235#14519801—42no—
236C2×Dic244C2311yescharacteristic
237C2×#11758202C2311yescharacteristic
238C2×#11758190C2311yescharacteristic
239C2×#11758190C2311yescharacteristic
240C2×#11758200C2311yescharacteristic
241C2×#11758200C2311yescharacteristic
242C2×#11758200C2311yescharacteristic
243C2×#11758199C2311yescharacteristic
244C2×#11758199C2311yescharacteristic
245C2×#11758194C2311yescharacteristic
246C2×#11758189—42no—
247C2×#11758189C2311yescharacteristic
248C2×#11758189C2311yescharacteristic
249C2×#11758189C2311yescharacteristic
250C2×#11758189C2311yescharacteristic
251C2×#11758189C2311yescharacteristic
252C2×#11758189C2311yescharacteristic
253M16×D61—42no—
254C22×#92418C2311yescharacteristic
255C2×C8×D61C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257#14519776C2311yescharacteristic
258#14519776C2311yescharacteristic
259#14519774—21no—
260#14519774C2311yescharacteristic
261#14519773—21no—
262#14519773—21no—
263#14519773—21no—
264#14519773—21no—
265#14519773—21no—
266#14519773—21no—
267#14519773—21no—
268#14519773—21no—
269#14519773C2311yescharacteristic
270#14519773C2311yescharacteristic
271#14519772—21no—
272#14519771—21no—
273#14519770—21no—
274#14519770—21no—
275#14519770—21no—
276#14519769C2311yescharacteristic
277#14519768—21no—
278#14519767—21no—
279#14519767—21no—
280#14519764—21no—
281#14519763—21no—
282#14519763—21no—
283#14519762—21no—
284#14519760—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758—21no—
289#14519758—21no—
290#14519757C2311yescharacteristic
291#14519757C2311yescharacteristic
292#14519756—21no—
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755—21no—
297#14519755—21no—
298#14519754—21no—
299#14519752—21no—
300#14519752—21no—
301#14519752C2311yescharacteristic
302#14519752C2311yescharacteristic
303#14519751—21no—
304#14519751—21no—
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519748—21no—
322#14519748—21no—
323#14519748C2311yescharacteristic
324#14519748C2311yescharacteristic
325#14519748C2311yescharacteristic
326#14519748C2311yescharacteristic
327#14519745—21no—
328#14519745—21no—
329Q8×Dic61C2311yescharacteristic
330C4×Dic122—21no—
331C4×Dic122—21no—
332C4×Dic122C2311yescharacteristic
333C4×Dic122C2311yescharacteristic
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339C4×D244—21no—
340C4×D244C2311yescharacteristic
341D4×Dic61—21no—
342D4×Dic61—21no—
343D4×Dic61—21no—
344D4×Dic61D411yescharacteristic
345D4×Dic61C2311yescharacteristic
346#14519739—21no—
347#14519739D411yescharacteristic
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61C2311yescharacteristic
354C4×C22⋊D61C2311yescharacteristic
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737D411yescharacteristic
361#14519737D411yescharacteristic
362#14519736C2311yescharacteristic
363#14519735—21no—
364#14519735—21no—
365#14519735—21no—
366#14519735C2311yescharacteristic
367#14519735C2311yescharacteristic
368#14519735C2311yescharacteristic
369#14519735C2311yescharacteristic
370#14519735C2311yescharacteristic
371#14519734—21no—
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375#14519733—21no—
376C2×C4⋊Dic61C2311yescharacteristic
377C4⋊C4×D61—21no—
378C4⋊C4×D61D411yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C2×#11758198—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61D411yescharacteristic
387C22⋊C4×D61D411yescharacteristic
388C2×C4×Dic61—21no—
389C2×C4×Dic61—21no—
390C42×D61—21no—
391C42×D61—21no—
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402C4⋊#92418C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic
442C8×Dic61C2311yescharacteristic
443C8×Dic61C2311yescharacteristic
444C2×#41×C61C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×D8×C61C2311yescharacteristic
448C2×D8×C61C2311yescharacteristic
449C2×M16×C61C2311yescharacteristic
450C22×C8×C61C2311yescharacteristic
451#127×C61—21no—
452#127×C61C2311yescharacteristic
453#126×C61—21no—
454#125×C61C2311yescharacteristic
455#123×C61—21no—
456#121×C61—21no—
457#121×C61—21no—
458#121×C61—21no—
459#121×C61C2311yescharacteristic
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470#107×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#106×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C22⋊C8×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486#97×C61C2311yescharacteristic
487C23×D61—21no—
488C23×D61—21no—
489C23×D61C2×D411yescharacteristic
490C23×D61C2×D411yescharacteristic
491#41×C61—22no—
492#41×C61—22no—
493#41×C61—41no—
494#41×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61C2×D411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
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⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61C2×D411yescharacteristic
532C2×C22⋊D61C2×D411yescharacteristic
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61—21no—
537C22×Dic61—21no—
538C22×Dic61C2×D411yescharacteristic
539C22×Dic61C2×D411yescharacteristic
540#11758226—22no—
541#11758226—22no—
542#11758226—41no—
543#11758226—41no—
544Q8×D61—22no—
545Q8×D61#4114yescomplemented
546#11758224—22no—
547#11758224—22no—
548#11758224—22no—
549#11758224—22no—
550#11758224—41no—
551#11758224—41no—
552#11758224—44no—
553#11758224—44no—
554#11758224—44no—
555D4×D61—22no—
556D4×D61—22no—
557D4×D61—22no—
558D4×D61—22no—
559D4×D61—42no—
560D4×D61—44no—
561D4×D61—44no—
562D4×D61—44no—
563D4×D61—82no—
564D4×D61—82no—
565D4×D61—82no—
566#11758222—22no—
567#11758222—22no—
568#11758222—44no—
569#11758222—44no—
570#11758222—41no—
571#11758222—41no—
572C2×D244—21no—
573C2×D244—21no—
574C2×D244—21no—
575C2×D244—21no—
576C2×D244—21no—
577C2×D244—21no—
578C2×D244C2×D411yescharacteristic
579C2×D244C2411yescharacteristic
580C2×D244C2411yescharacteristic
581C2×C4×D61—21no—
582C2×C4×D61—22no—
583C2×C4×D61—22no—
584C2×C4×D61—22no—
585C2×C4×D61—22no—
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—44no—
594C2×C4×D61—44no—
595C2×C4×D61C2×D411yescharacteristic
596C2×C4×D61C2×D411yescharacteristic
597C2×C4×D61C2×D411yescharacteristic
598C2×C4×D61C2×D411yescharacteristic
599C2×C4×D61C2×D411yescharacteristic
600C2×C4×D61C2×D411yescharacteristic
601C2×C4×D61C2411yescharacteristic
602C2×C4×D61C2411yescharacteristic
603C2×C4×D61C2411yescharacteristic
604C2×Dic122—21no—
605C2×Dic122—21no—
606C2×Dic122—21no—
607C2×Dic122C2411yescharacteristic
608C2×Dic122C2411yescharacteristic
609SD16×C61—22no—
610D8×C61—41no—
611D8×C61—41no—
612M16×C61—41no—
613C2×C8×C61—41no—
614C2×C8×C61C2411yescharacteristic
615C2×C8×C61C2411yescharacteristic
616C2×C8×C61C2411yescharacteristic
617C2×C8×C61C2411yescharacteristic
618C4⋊C4×C61—21no—
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61C2×D411yescharacteristic
623C4⋊C4×C61C2411yescharacteristic
624C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
634C22⋊C4×C61C2×D411yescharacteristic
635C42×C61—21no—
636C42×C61—21no—
637C42×C61C2411yescharacteristic
638C22⋊Dic61—21no—
639C22⋊Dic61—21no—
640C22⋊Dic61—21no—
641C22⋊Dic61—21no—
642C22⋊Dic61—21no—
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61C2×D411yescharacteristic
647C22⋊Dic61C2×D411yescharacteristic
648#11758202—22no—
649#11758200—22no—
650#11758200—41no—
651#11758200—41no—
652#11758199—41no—
653#11758199—41no—
654#11758198—21no—
655#11758198—21no—
656#11758198—21no—
657#11758198—21no—
658#11758198—21no—
659#11758198—21no—
660#11758198—21no—
661#11758198—21no—
662#11758198—21no—
663#11758198—21no—
664#11758198—21no—
665#11758198C2×D411yescharacteristic
666#11758198C2×D411yescharacteristic
667#11758198C2×D411yescharacteristic
668#11758198C2×D411yescharacteristic
669C4⋊Dic61—21no—
670C4⋊Dic61—21no—
671C4⋊Dic61—21no—
672C4⋊Dic61—21no—
673C4⋊Dic61C2×D411yescharacteristic
674C4⋊Dic61C2411yescharacteristic
675C4⋊Dic61C2411yescharacteristic
676C4⋊Dic61C2411yescharacteristic
677C4⋊Dic61C2411yescharacteristic
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196—21no—
682#11758196—21no—
683#11758196—21no—
684#11758196—21no—
685#11758196—21no—
686#11758196—21no—
687#11758196—21no—
688#11758196—21no—
689#11758196—21no—
690#11758196—21no—
691#11758196C2×D411yescharacteristic
692#11758196C2×D411yescharacteristic
693C4×Dic61—21no—
694C4×Dic61—21no—
695C4×Dic61—21no—
696C4×Dic61—21no—
697C4×Dic61—21no—
698C4×Dic61—21no—
699C4×Dic61—21no—
700C4×Dic61—21no—
701C4×Dic61—21no—
702C4×Dic61—21no—
703C4×Dic61—21no—
704C4×Dic61C2×D411yescharacteristic
705C4×Dic61C2×D411yescharacteristic
706C4×Dic61C2411yescharacteristic
707#11758194—41no—
708C2×#92418—41no—
709C2×#92418C2411yescharacteristic
710C2×#92418C2411yescharacteristic
711C2×#92418C2411yescharacteristic
712C2×#92418C2411yescharacteristic
713Dic244—22no—
714#11758190—41no—
715#11758190—41no—
716#11758189—22no—
717#11758189—22no—
718#11758189—22no—
719#11758189—22no—
720#11758189—41no—
721#11758189—41no—
722C8×D61—41no—
723C8×D61—41no—
724C23×C61—21no—
725C23×C61—21no—
726C23×C61—21no—
727C23×C61C22×D411yescharacteristic
728C23×C61C22×D411yescharacteristic
729C22×D61—22no—
730C22×D61—22no—
731C22×D61—21no—
732C22×D61—21no—
733C22×D61—41no—
734C22×D61—41no—
735C22×D61—41no—
736C22×D61—41no—
737C22×D61—42no—
738C22×D61—42no—
739C22×D61—42no—
740C22×D61—42no—
741C22×D61—42no—
742C22×D61—42no—
743C22×D61C22×D411yescharacteristic
744C22×D61C22×D411yescharacteristic
745C22×D61C22×D411yescharacteristic
746Q8×C61—21no—
747Q8×C61C2×#4112yes—
748D4×C61—21no—
749D4×C61—21no—
750D4×C61—21no—
751D4×C61—21no—
752D4×C61—21no—
753D4×C61—21no—
754D4×C61—41no—
755D4×C61—42no—
756D4×C61—42no—
757D4×C61—42no—
758D4×C61—42no—
759D4×C61—81no—
760D4×C61—81no—
761D4×C61—81no—
762D4×C61—81no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—42no—
773C2×C4×C61—42no—
774C2×C4×C61—81no—
775C2×C4×C61—81no—
776C2×C4×C61C22×D411yescharacteristic
777C2×C4×C61C22×D411yescharacteristic
778C2×C4×C61C22×D411yescharacteristic
779C2×C4×C61C22×D411yescharacteristic
780C2×C4×C61C2511yescharacteristic
781C22⋊D61—22no—
782C22⋊D61—22no—
783C22⋊D61—42no—
784C22⋊D61—42no—
785C22⋊D61—42no—
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—
798C22⋊D61—81no—
799C22⋊D61—81no—
800C2×Dic61—21no—
801C2×Dic61—22no—
802C2×Dic61—22no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—42no—
809C2×Dic61—42no—
810C2×Dic61—42no—
811C2×Dic61—42no—
812C2×Dic61—42no—
813C2×Dic61C22×D411yescharacteristic
814C2×Dic61C22×D411yescharacteristic
815C2×Dic61C22×D411yescharacteristic
816C2×Dic61C22×D411yescharacteristic
817C2×Dic61C22×D411yescharacteristic
818D244—21no—
819D244—21no—
820D244—21no—
821D244—21no—
822D244—41no—
823D244—42no—
824D244—42no—
825D244—42no—
826D244—81no—
827D244—81no—
828D244—81no—
829C4×D61—22no—
830C4×D61—22no—
831C4×D61—24no—
832C4×D61—21no—
833C4×D61—21no—
834C4×D61—21no—
835C4×D61—21no—
836C4×D61—22no—
837C4×D61—22no—
838C4×D61—22no—
839C4×D61—41no—
840C4×D61—42no—
841C4×D61—42no—
842C4×D61—42no—
843C4×D61—42no—
844C4×D61—42no—
845C4×D61—42no—
846C4×D61—81no—
847C4×D61C2×#4112yes—
848C4×D61H(5,𝔽2)12yes—
849Dic122—21no—
850Dic122—24no—
851Dic122—21no—
852Dic122—21no—
853Dic122—42no—
854Dic122—81no—
855Dic122C2×#4112yes—
856C8×C61—21no—
857C8×C61—21no—
858C8×C61—21no—
859C8×C61—21no—
860#92418—21no—
861#92418—21no—
862#92418—21no—
863#92418—21no—
864#61160—611nomaximal, Sylow
865C22×C61—21no—
866C22×C61—21no—
867C22×C61—21no—
868C22×C61—21no—
869C22×C61—21no—
870C22×C61—21no—
871C22×C61—41no—
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×C61C23×D411yescharacteristic
881C2×D61—21no—
882C2×D61—21no—
883C2×D61—21no—
884C2×D61—21no—
885C2×D61—21no—
886C2×D61—21no—
887C2×D61—21no—
888C2×D61—21no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—82no—
896C2×D61—82no—
897C2×D61—84no—
898C2×D61—84no—
899C2×D61#54612yes—
900C4×C61—21no—
901C4×C61—22no—
902C4×C61—21no—
903C4×C61—21no—
904C4×C61—21no—
905C4×C61—41no—
906C4×C61—41no—
907C4×C61—41no—
908C4×C61—41no—
909C4×C61C22×#4111yescharacteristic
910C4×C61C2×H(5,𝔽2)11yescharacteristic
911Dic61—21no—
912Dic61—22no—
913Dic61—21no—
914Dic61—21no—
915Dic61—41no—
916Dic61—41no—
917Dic61—41no—
918Dic61—41no—
919Dic61—41no—
920Dic61#54612yes—
921Dic61#57512yes—
922#3475—611no—
923C2×#550—611no—
924#3333—611no—
925#3333—611no—
926#3332—611no—
927#3332—611no—
928#3317—611no—
929#3317—611no—
930#3317—611no—
931#3317—611no—
932#3309—611no—
933#3309—611no—
934#3309—611no—
935#3309D6111yescharacteristic, complemented
936#3305—611no—
937#3305—611no—
938#3304—611no—
939#3304—611no—
940#3138—611no—
941#3094—611no—
942#3094—611no—
943#3078—611no—
944#3055—611no—
945#3055—611no—
946#3038—611no—
947#3005—611no—
948#3005—611no—
949C4×#137—611no—
950D4×M16—611no—
951#2896—611no—
952#2896—611no—
953C2×C61—41no—
954C2×C61—41no—
955C2×C61—81no—
956C2×C61—81no—
957C2×C61—81no—
958C2×C61C2×#54611yescharacteristic
959C2×C61C2×#57511yescharacteristic
960C2×C61#358511yescharacteristic
961D61—22no—
962D61—41no—
963D61—41no—
964D61—81no—
965D61—81no—
966C22×#41—611no—
967C22×#41—611no—
968C2×#137—611no—
969C2×AGL(1,ℤ/8)—611no—
970C2×AGL(1,ℤ/8)—611no—
971C22×M16—611no—
972C22×M16—611no—
973#556—611no—
974#555—611no—
975#554—611no—
976#553—611no—
977#553C2×D6111yescharacteristic, complemented
978#552—611no—
979#552—611no—
980#552—1221no—
981#551—1221no—
982#551—1221no—
983#550—611no—
984#550—611no—
985#550—611no—
986#550—611no—
987#550—611no—
988#550—611no—
989#550—611no—
990#550—1221no—
991#550—1221no—
992#550—1221no—
993#550—1221no—
994#550C2×D6111yescharacteristic
995#547—611no—
996#546—1221no—
997#533—611no—
998C2×#127—611no—
999C2×#127—1221no—
1000#529—1221no—
1001#529—1221no—
1002#529—1221no—
1003#525—611no—
1004#525—611no—
1005C2×#121—611no—
1006C2×#121—611no—
1007C2×#121—1221no—
1008C2×#121—1221no—
1009C4×#41—611no—
1010C4×#41—1221no—
1011C2×C4×Q8—611no—
1012C2×C4×D4—611no—
1013C2×C4×D4—1221no—
1014C2×#117—611no—
1015C2×#117—611no—
1016#490—611no—
1017#490—611no—
1018#490—611no—
1019#490C2×D6111yescharacteristic, complemented
1020#486—611no—
1021#486—611no—
1022#486—611no—
1023#486—611no—
1024#482—611no—
1025#482—611no—
1026#482—611no—
1027#482—611no—
1028#482—611no—
1029#482—611no—
1030#482—611no—
1031#482C2×D6111yescharacteristic, complemented
1032#481—611no—
1033#481—611no—
1034#481—611no—
1035#481—611no—
1036#480—611no—
1037#480—611no—
1038#480—611no—
1039#480C2×D6111yescharacteristic, complemented
1040#479—611no—
1041#479—611no—
1042#479—611no—
1043#479C2×D6111yescharacteristic, complemented
1044#477—611no—
1045#477—611no—
1046#475—611no—
1047#475—611no—
1048#469—611no—
1049#469—611no—
1050#469—611no—
1051#469C2×D6111yescharacteristic, complemented
1052#468—611no—
1053#468—611no—
1054#468—611no—
1055#468—611no—
1056#466—611no—
1057#466—611no—
1058#466—611no—
1059#466C2×D6111yescharacteristic, complemented
1060#465—611no—
1061#465—611no—
1062#465—611no—
1063#465—611no—
1064#460—611no—
1065#460—611no—
1066#460—611no—
1067#460—611no—
1068#459—611no—
1069#459—611no—
1070#459—611no—
1071#459C2×D6111yescharacteristic, complemented
1072#452—611no—
1073#452—611no—
1074#452—611no—
1075#452—611no—
1076#452—611no—
1077#452—611no—
1078#452—611no—
1079#452—611no—
1080#449—611no—
1081#449—611no—
1082#449—611no—
1083#449—611no—
1084#449—611no—
1085#449—611no—
1086#449C2×D6111yescharacteristic, complemented
1087#449C2×D6111yescharacteristic, complemented
1088#441—611no—
1089#441—611no—
1090#440—611no—
1091#440C2×D6111yescharacteristic, complemented
1092C4×Q16—611no—
1093C4×Q16—611no—
1094C4×SD16—611no—
1095C4×SD16—611no—
1096#436—611no—
1097#436—611no—
1098#435—611no—
1099#435—611no—
1100#435—611no—
1101#435C2×D6111yescharacteristic, complemented
1102C8×D4—611no—
1103C8×D4—611no—
1104#428—611no—
1105#428—611no—
1106#428—611no—
1107#423—611no—
1108#419—611no—
1109#419—611no—
1110#419—611no—
1111#418—611no—
1112#418—611no—
1113#418—611no—
1114#418—611no—
1115#418—611no—
1116#418—611no—
1117#417—611no—
1118#417—611no—
1119#417—611no—
1120#417—611no—
1121#417—611no—
1122#417—611no—
1123#417—611no—
1124#417—611no—
1125#417C2×D6111yescharacteristic, complemented
1126#416—611no—
1127#416—611no—
1128#416—611no—
1129#416—611no—
1130#416—611no—
1131#416—611no—
1132#416—611no—
1133#416C2×D6111yescharacteristic, complemented
1134#407—611no—
1135#407—611no—
1136C4×M16—611no—
1137C61#6116011yescharacteristic, complemented, Sylow
1138C2×#41—611no—
1139C2×#41—611no—
1140C2×#41—611no—
1141C2×#41—611no—
1142C2×#41—611no—
1143C2×#41—611no—
1144C2×#41—611no—
1145C2×#41—1221no—
1146C2×#41—1221no—
1147C2×#41—1221no—
1148C2×#41—1221no—
1149C2×#41—1221no—
1150C2×#41—1224no—
1151C2×#41—1224no—
1152C2×#41—2442no—
1153C2×#41—2442no—
1154C2×#41C22×D6111yescharacteristic
1155C2×#41C22×D6111yescharacteristic
1156C22×Q8—611no—
1157C22×D4—611no—
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—1221no—
1161C22×D4—1221no—
1162C22×D4—1221no—
1163C22×D4—1221no—
1164C22×D4—1221no—
1165C22×D4—1221no—
1166C23×C4—611no—
1167C23×C4—611no—
1168C23×C4—1221no—
1169C23×C4—1221no—
1170#137—1224no—
1171AGL(1,ℤ/8)—2442no—
1172AGL(1,ℤ/8)—2442no—
1173C2×Q16—611no—
1174C2×Q16—611no—
1175C2×SD16—611no—
1176C2×SD16—611no—
1177C2×SD16—611no—
1178C2×SD16—611no—
1179C2×SD16—611no—
1180C2×SD16C22×D6111yescharacteristic
1181C2×D8—611no—
1182C2×D8—611no—
1183C2×D8C22×D6111yescharacteristic
1184C2×D8C22×D6111yescharacteristic
1185C2×M16—611no—
1186C2×M16—611no—
1187C2×M16—611no—
1188C2×M16—611no—
1189C2×M16—611no—
1190C2×M16—611no—
1191C2×M16—611no—
1192C2×M16—2442no—
1193C2×M16—2442no—
1194C2×M16C22×D6111yescharacteristic
1195C22×C8—611no—
1196C22×C8—611no—
1197C22×C8—611no—
1198C22×C8C22×D6111yescharacteristic
1199C4⋊Q8—611no—
1200C4⋊Q8—611no—
1201#127—21no—
1202#127—611no—
1203#127—611no—
1204#127—611no—
1205#127—1221no—
1206#127—1221no—
1207#127—1221no—
1208#127—1221no—
1209#127—1221no—
1210#127—1221no—
1211#127—1221no—
1212#127—1221no—
1213#127—1221no—
1214#127C22×D6111yescharacteristic
1215#126—21no—
1216#126—1221no—
1217#126—1221no—
1218#126—1221no—
1219#126—1221no—
1220#126—1221no—
1221#125—611no—
1222#125—1221no—
1223#125—1221no—
1224#125—1221no—
1225#125C22×D6111yescharacteristic
1226#124—1221no—
1227#124—1221no—
1228#124—1221no—
1229#123—21no—
1230#123—1221no—
1231#123—1221no—
1232#123—1221no—
1233#123—1221no—
1234#123—1221no—
1235#123—1221no—
1236#123—1221no—
1237C22⋊Q8—611no—
1238C22⋊Q8—611no—
1239C22⋊Q8—611no—
1240C22⋊Q8—611no—
1241C22⋊Q8—1221no—
1242C22⋊Q8—1221no—
1243C22⋊Q8—1221no—
1244C22⋊Q8—1221no—
1245C22⋊Q8—1221no—
1246#121—21no—
1247#121—21no—
1248#121—21no—
1249#121—611no—
1250#121—611no—
1251#121—611no—
1252#121—611no—
1253#121—611no—
1254#121—611no—
1255#121—611no—
1256#121—611no—
1257#121—1221no—
1258#121—1221no—
1259#121—1221no—
1260#121—1221no—
1261#121—1221no—
1262#121—1221no—
1263#121—1221no—
1264#121—1221no—
1265#121—1221no—
1266#121—1221no—
1267#121—1221no—
1268#121—1221no—
1269#121—1221no—
1270#121—1221no—
1271#121—1221no—
1272#121—1221no—
1273#121—1221no—
1274#121—1221no—
1275#121—1221no—
1276#121—1221no—
1277#121C22×D6111yescharacteristic
1278#121C22×D6111yescharacteristic
1279#121C22×D6111yescharacteristic
1280#121C22×D6111yescharacteristic
1281#120—1221no—
1282#120—1221no—
1283C4×Q8—611no—
1284C4×Q8—611no—
1285C4×Q8—611no—
1286C4×Q8—611no—
1287C4×Q8—611no—
1288C4×Q8—1221no—
1289C4×Q8—1221no—
1290C4×Q8—1221no—
1291C4×Q8—1221no—
1292C4×Q8—1221no—
1293C4×Q8C22×D6111yescharacteristic
1294C4×D4—21no—
1295C4×D4—21no—
1296C4×D4—611no—
1297C4×D4—611no—
1298C4×D4—611no—
1299C4×D4—611no—
1300C4×D4—611no—
1301C4×D4—611no—
1302C4×D4—611no—
1303C4×D4—611no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4—1221no—
1307C4×D4—1221no—
1308C4×D4—1221no—
1309C4×D4—1221no—
1310C4×D4—1221no—
1311C4×D4—1221no—
1312C4×D4—1221no—
1313C4×D4—1221no—
1314C4×D4—1221no—
1315C4×D4—1221no—
1316C4×D4—1221no—
1317C4×D4—1221no—
1318C4×D4—1221no—
1319C4×D4C22×D6111yescharacteristic
1320C4×D4C22×D6111yescharacteristic
1321#117—611no—
1322#117—611no—
1323#117—611no—
1324#117—611no—
1325#117—611no—
1326#117—611no—
1327#117—1221no—
1328#117—1221no—
1329#117—1221no—
1330#117—1221no—
1331#117—1221no—
1332#117—1221no—
1333#117—1221no—
1334#117—1221no—
1335#117C22×D6111yescharacteristic
1336C2×C4⋊C4—611no—
1337C2×C4⋊C4—611no—
1338C2×C4⋊C4—611no—
1339C2×C4⋊C4—611no—
1340C2×C4⋊C4—611no—
1341C2×C4⋊C4—1221no—
1342C2×C4⋊C4C22×D6111yescharacteristic
1343C2×C22⋊C4—611no—
1344C2×C22⋊C4—611no—
1345C2×C22⋊C4—1221no—
1346C2×C22⋊C4—1221no—
1347C2×C22⋊C4—1221no—
1348C2×C22⋊C4—1221no—
1349C2×C42—611no—
1350C2×C42—1221no—
1351C2×C42—1221no—
1352C2×C42—1221no—
1353C2×C42—1221no—
1354#107—611no—
1355#107—611no—
1356#107—611no—
1357#107—611no—
1358#107C22×D6111yescharacteristic
1359#107C22×D6111yescharacteristic
1360#106—611no—
1361#106—611no—
1362#106—611no—
1363#106—611no—
1364#106—611no—
1365#106C22×D6111yescharacteristic
1366C4⋊C8—611no—
1367C4⋊C8—611no—
1368C4⋊C8—611no—
1369C4⋊C8C22×D6111yescharacteristic
1370#103—611no—
1371#103—611no—
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#103C22×D6111yescharacteristic
1382#103C22×D6111yescharacteristic
1383#103C22×D6111yescharacteristic
1384#102—611no—
1385#102—611no—
1386#102—611no—
1387#102—611no—
1388#102—611no—
1389#102—611no—
1390#102—611no—
1391#102—611no—
1392#102—611no—
1393#102—611no—
1394#102—611no—
1395#102—611no—
1396#102—611no—
1397#102—611no—
1398#102—611no—
1399#102—611no—
1400#102—611no—
1401#102—611no—
1402#102—611no—
1403#102C22×D6111yescharacteristic
1404#102C22×D6111yescharacteristic
1405#102C22×D6111yescharacteristic
1406#102C22×D6111yescharacteristic
1407#102C22×D6111yescharacteristic
1408#102C22×D6111yescharacteristic
1409#102C22×D6111yescharacteristic
1410C22⋊C8—611no—
1411C22⋊C8—611no—
1412C22⋊C8—611no—
1413C22⋊C8—611no—
1414C22⋊C8—611no—
1415C22⋊C8—611no—
1416C22⋊C8C22×D6111yescharacteristic
1417C22⋊C8C22×D6111yescharacteristic
1418#97—611no—
1419#97C22×D6111yescharacteristic
1420C4×C8—611no—
1421C4×C8—611no—
1422C24—611no—
1423C24—611no—
1424C24—1221no—
1425C24—1221no—
1426#41—22no—
1427#41—22no—
1428#41—41no—
1429#41—41no—
1430#41—1222no—
1431#41—1222no—
1432#41—1222no—
1433#41—1222no—
1434#41—1222no—
1435#41—1222no—
1436#41—1222no—
1437#41—1222no—
1438#41—2441no—
1439#41—2441no—
1440#41—2444no—
1441#41—2444no—
1442#41—2441no—
1443#41—2441no—
1444#41—2444no—
1445#41—2444no—
1446#41—2441no—
1447#41—2441no—
1448#41—2444no—
1449C2×Q8—614no—
1450C2×Q8—611no—
1451C2×Q8—611no—
1452C2×Q8—1221no—
1453C2×Q8—1221no—
1454C2×Q8—1221no—
1455C2×Q8—1222no—
1456C2×Q8C23×D6111yescharacteristic
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—611no—
1466C2×D4—611no—
1467C2×D4—611no—
1468C2×D4—611no—
1469C2×D4—611no—
1470C2×D4—1221no—
1471C2×D4—1221no—
1472C2×D4—1221no—
1473C2×D4—1221no—
1474C2×D4—1222no—
1475C2×D4—1222no—
1476C2×D4—1222no—
1477C2×D4—1222no—
1478C2×D4—1221no—
1479C2×D4—1221no—
1480C2×D4—1221no—
1481C2×D4—1221no—
1482C2×D4—1221no—
1483C2×D4—1221no—
1484C2×D4—1221no—
1485C2×D4—1221no—
1486C2×D4—1221no—
1487C2×D4—1221no—
1488C2×D4—1221no—
1489C2×D4—1221no—
1490C2×D4—1221no—
1491C2×D4—1221no—
1492C2×D4—1221no—
1493C2×D4—1221no—
1494C2×D4—1221no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—4882no—
1498C2×D4—4882no—
1499C2×D4—4882no—
1500C2×D4—2442no—
1501C2×D4—2444no—
1502C2×D4—2444no—
1503C2×D4—2444no—
1504C2×D4D4×D6111yescharacteristic
1505C2×D4C23×D6111yescharacteristic
1506C2×D4C23×D6111yescharacteristic
1507C2×D4C23×D6111yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—611no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—611no—
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—611no—
1519C22×C4—611no—
1520C22×C4—611no—
1521C22×C4—611no—
1522C22×C4—611no—
1523C22×C4—1222no—
1524C22×C4—1222no—
1525C22×C4—1222no—
1526C22×C4—1222no—
1527C22×C4—1221no—
1528C22×C4—1221no—
1529C22×C4—1221no—
1530C22×C4—1221no—
1531C22×C4—1221no—
1532C22×C4—1221no—
1533C22×C4—1221no—
1534C22×C4—1221no—
1535C22×C4—1221no—
1536C22×C4—1221no—
1537C22×C4—1221no—
1538C22×C4—1221no—
1539C22×C4—1221no—
1540C22×C4—2444no—
1541C22×C4—2444no—
1542C22×C4C23×D6111yescharacteristic
1543C22×C4C23×D6111yescharacteristic
1544Q16—1222no—
1545Q16—1222no—
1546SD16—22no—
1547SD16—1222no—
1548SD16—2441no—
1549SD16—2441no—
1550SD16—2441no—
1551SD16—2441no—
1552D8—41no—
1553D8—41no—
1554D8—2441no—
1555D8—2441no—
1556M16—41no—
1557M16—1222no—
1558M16—1222no—
1559M16—1222no—
1560M16—1222no—
1561M16—2441no—
1562M16—2441no—
1563M16—2441no—
1564C2×C8—41no—
1565C2×C8—611no—
1566C2×C8—611no—
1567C2×C8—611no—
1568C2×C8—611no—
1569C2×C8—2441no—
1570C2×C8—2441no—
1571C2×C8—2441no—
1572C2×C8C23×D6111yescharacteristic
1573C2×C8C23×D6111yescharacteristic
1574C2×C8C23×D6111yescharacteristic
1575C2×C8C23×D6111yescharacteristic
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—611no—
1581C4⋊C4—611no—
1582C4⋊C4—611no—
1583C4⋊C4—611no—
1584C4⋊C4—611no—
1585C4⋊C4—611no—
1586C4⋊C4—611no—
1587C4⋊C4—1221no—
1588C4⋊C4—1221no—
1589C4⋊C4—1221no—
1590C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1605C4⋊C4C23×D6111yescharacteristic
1606C4⋊C4C23×D6111yescharacteristic
1607C4⋊C4C23×D6111yescharacteristic
1608C4⋊C4C23×D6111yescharacteristic
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—611no—
1616C22⋊C4—611no—
1617C22⋊C4—611no—
1618C22⋊C4—611no—
1619C22⋊C4—611no—
1620C22⋊C4—611no—
1621C22⋊C4—1221no—
1622C22⋊C4—1221no—
1623C22⋊C4—1221no—
1624C22⋊C4—1221no—
1625C22⋊C4—1221no—
1626C22⋊C4—1221no—
1627C22⋊C4—1221no—
1628C22⋊C4—1221no—
1629C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1641C22⋊C4D4×D6111yescharacteristic
1642C42—21no—
1643C42—21no—
1644C42—611no—
1645C42—611no—
1646C42—611no—
1647C42—1221no—
1648C42—1221no—
1649C42—1221no—
1650C42—1221no—
1651C42—1221no—
1652C42—1221no—
1653C42—1221no—
1654C42—1221no—
1655C42—1221no—
1656C42—1221no—
1657C42—1221no—
1658C42C23×D6111yescharacteristic
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—611no—
1663C23—611no—
1664C23—611no—
1665C23—1222no—
1666C23—1222no—
1667C23—1221no—
1668C23—1221no—
1669C23—2441no—
1670C23—2441no—
1671C23—2441no—
1672C23—2441no—
1673C23—2442no—
1674C23—2442no—
1675C23—2442no—
1676C23—2442no—
1677C23—2442no—
1678C23—2442no—
1679C23C2×D4×D6111yescharacteristic
1680C23C2×D4×D6111yescharacteristic
1681Q8—21no—
1682Q8—612no—
1683Q8—1224no—
1684Q8—1221no—
1685Q8—1221no—
1686Q8—1221no—
1687Q8—4881no—
1688Q8—2442no—
1689Q8#41×D6112yes—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—41no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—42no—
1701D4—81no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4—1222no—
1706D4—1222no—
1707D4—1221no—
1708D4—1221no—
1709D4—1221no—
1710D4—1221no—
1711D4—4881no—
1712D4—4881no—
1713D4—4881no—
1714D4—4881no—
1715D4—4881no—
1716D4—4881no—
1717D4—4881no—
1718D4—4881no—
1719D4—4881no—
1720D4—4881no—
1721D4—2441no—
1722D4—2442no—
1723D4—2442no—
1724D4—2442no—
1725D4—2442no—
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—21no—
1743C2×C4—21no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—81no—
1747C2×C4—81no—
1748C2×C4—611no—
1749C2×C4—611no—
1750C2×C4—612no—
1751C2×C4—612no—
1752C2×C4—611no—
1753C2×C4—611no—
1754C2×C4—611no—
1755C2×C4—1222no—
1756C2×C4—1222no—
1757C2×C4—1222no—
1758C2×C4—1222no—
1759C2×C4—1222no—
1760C2×C4—1224no—
1761C2×C4—1222no—
1762C2×C4—1222no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—4881no—
1774C2×C4—2441no—
1775C2×C4—2442no—
1776C2×C4—2442no—
1777C2×C4—2442no—
1778C2×C4—2442no—
1779C2×C4—2442no—
1780C2×C4—2442no—
1781C2×C4—2442no—
1782C2×C4—2442no—
1783C2×C4—2442no—
1784C2×C4—2442no—
1785C2×C4—2442no—
1786C2×C4C2×D4×D6111yescharacteristic
1787C2×C4C2×D4×D6111yescharacteristic
1788C2×C4C2×D4×D6111yescharacteristic
1789C2×C4C2×D4×D6111yescharacteristic
1790C2×C4C24×D6111yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—1221no—
1796C8—1221no—
1797C8—1221no—
1798C8—1221no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—612no—
1815C22—1221no—
1816C22—1221no—
1817C22—1221no—
1818C22—1221no—
1819C22—1221no—
1820C22—1221no—
1821C22—1221no—
1822C22—1221no—
1823C22—4882no—
1824C22—4882no—
1825C22—4884no—
1826C22—4884no—
1827C22—2441no—
1828C22—2441no—
1829C22—2441no—
1830C22—2441no—
1831C22—2441no—
1832C22—2441no—
1833C22C22×D4×D6111yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—22no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—612no—
1844C4—612no—
1845C4—1221no—
1846C4—1221no—
1847C4—1222no—
1848C4—1221no—
1849C4—2441no—
1850C4—2441no—
1851C4—2441no—
1852C4—2441no—
1853C4—2441no—
1854C4C2×#41×D6111yescharacteristic
1855C4H(5,𝔽2)×D6111yescharacteristic
1856C2—41no—
1857C2—41no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—1222no—
1862C2—4881no—
1863C2—4881no—
1864C2—2441no—
1865C2—2441no—
1866C2#546×D6111yescharacteristic
1867C2#575×D6111yescharacteristic
1868C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3309C2
socleC22×C61C23×D4
hypercenter#3309D61
hypocenterC61#61160
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21459378C2semidirect
2. #550×D61C2semidirect
3. #21458155C2semidirect
4. #21458153C2semidirect
5. #21458141C2semidirect
6. #21458139C2semidirect
7. #21457947C2semidirect
8. #21457945C2semidirect
9. #21457944C2semidirect
10. #21457942C2semidirect
11. #21457832C2semidirect
12. #21457830C2semidirect
13. #21457819C2semidirect
14. #21457764C2semidirect
15. #21457762C2semidirect
16. #21457756C2semidirect
17. #21457754C2semidirect
18. #21456192C2semidirect
19. #21455758C2semidirect
20. #21455754C2semidirect
21. #21455622C2semidirect
22. #21455437C2semidirect
23. #21455435C2semidirect
24. #21455294C2semidirect
25. #21455057C2semidirect
26. #21455057C2semidirect
27. #21454641C2semidirect
28. #21454552C2semidirect
29. #21454335C2semidirect
30. #21454334C2semidirect
31. C61×#3309C2semidirect
39. #16840480C22semidirect
40. #16840476C22semidirect
41. #16840467C22semidirect
42. #16840462C22semidirect
43. #16840452C22semidirect
44. #16840450C22semidirect
59. #16840412C22semidirect
80. #16840128C22semidirect
81. #16840127C22semidirect
82. #16840126C22semidirect
83. #16840107C22semidirect
84. #16840107C22semidirect
85. #16840107C22semidirect
86. #16840107C22semidirect
87. #16840089C22semidirect
88. #16840089C22semidirect
89. #16840087C22semidirect
90. #16840086C22semidirect
91. #16840085C22semidirect
92. #16840085C22semidirect
93. #16840083C22semidirect
94. #16840082C22semidirect
95. #16840081C22semidirect
96. #16840079C22semidirect
97. #16840078C22semidirect
98. #16840077C22semidirect
99. #16840075C22semidirect
100. #16840074C22semidirect
101. #16840070C22semidirect
102. #16840069C22semidirect
103. #16840066C22semidirect
104. #16840056C22semidirect
105. #16840055C22semidirect
106. #16840046C22semidirect
107. #16840045C22semidirect
108. #16840014C22semidirect
109. #16840013C22semidirect
110. #16840012C22semidirect
111. #16840009C22semidirect
112. #16840008C22semidirect
113. #16840007C22semidirect
114. #16840006C22semidirect
115. #16839997C22semidirect
116. #16839996C22semidirect
117. #16839995C22semidirect
118. #16839992C22semidirect
119. #16839991C22semidirect
120. #16839990C22semidirect
121. #16839989C22semidirect
122. #16839963C22semidirect
123. #16839961C22semidirect
124. #16839961C22semidirect
125. #16839959C22semidirect
126. #16839957C22semidirect
127. #16839955C22semidirect
128. #16839955C22semidirect
129. #16839927C22semidirect
130. #16839927C22semidirect
131. #16839926C22semidirect
132. #16839926C22semidirect
133. #16839925C22semidirect
134. #16839925C22semidirect
135. #16839924C22semidirect
136. #16839924C22semidirect
137. #16839906C22semidirect
138. #16839906C22semidirect
139. #16839905C22semidirect
140. #16839905C22semidirect
141. #16839904C22semidirect
142. #16839904C22semidirect
143. #16839870C22semidirect
144. #16839867C22semidirect
145. #16839862C22semidirect
146. #16839856C22semidirect
147. #16839854C22semidirect
148. #16839853C22semidirect
149. SD16×Dic61C22semidirect
150. #16839838C22semidirect
151. #16839837C22semidirect
152. #16839835C22semidirect
153. #16839834C22semidirect
154. #16839832C22semidirect
155. C8×C22⋊D61C22semidirect
156. #16839825C22semidirect
170. #16839764C22semidirect
171. #16839763C22semidirect
172. #16839762C22semidirect
173. #16839762C22semidirect
174. #16839761C22semidirect
176. #16839760C22semidirect
177. #16839760C22semidirect
178. #16839759C22semidirect
179. #16839758C22semidirect
180. #16839757C22semidirect
181. #16839757C22semidirect
182. #16839756C22semidirect
183. #16839755C22semidirect
184. #16839755C22semidirect
188. C61×#553C22semidirect
190. C61×#490C22semidirect
191. C61×#482C22semidirect
192. C61×#480C22semidirect
193. C61×#479C22semidirect
194. C61×#469C22semidirect
195. C61×#466C22semidirect
196. C61×#459C22semidirect
197. C61×#449C22semidirect
198. C61×#449C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C61×#416C22semidirect
545. Q8×D61#41semidirect
935. #3309D61semidirect
977. #553C2×D61semidirect
1019. #490C2×D61semidirect
1031. #482C2×D61semidirect
1039. #480C2×D61semidirect
1043. #479C2×D61semidirect
1051. #469C2×D61semidirect
1059. #466C2×D61semidirect
1071. #459C2×D61semidirect
1086. #449C2×D61semidirect
1087. #449C2×D61semidirect
1091. #440C2×D61semidirect
1101. #435C2×D61semidirect
1125. #417C2×D61semidirect
1133. #416C2×D61semidirect
1137. C61#61160semidirect

Maximal subgroups

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

subgroupindex
#214593782
#550×D612
#214581552
#214581532
#214581412
#214581392
#214579472
#214579452
#214579442
#214579422
#214578322
#214578302
#214578192
#214577642
#214577622
#214577562
#214577542
#214561922
#214557582
#214557542
#214556222
#214554372
#214554352
#214552942
#214550572
#214546412
#214545522
#214543352
#214543342
C61×#33092
#6116061