Finite Group Databasebeta

← D61×#3257 #30552915

Subgroups — D61×#3257 #30552915

Order 15616.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D61C211yesmaximal, characteristic, complemented
2#540×D61C211yesmaximal, characteristic, complemented
3#21457237C211yesmaximal, characteristic, complemented
4#21457236C211yesmaximal, characteristic, complemented
5#21457235C211yesmaximal, characteristic, complemented
6#21457234C211yesmaximal, characteristic, complemented
7#21457233C211yesmaximal, characteristic, complemented
8#21457232C211yesmaximal, characteristic, complemented
9#21457231C211yesmaximal, characteristic, complemented
10#21457230C211yesmaximal, characteristic, complemented
11#21457229C211yesmaximal, characteristic, complemented
12#21457228C211yesmaximal, characteristic, complemented
13#21457227C211yesmaximal, characteristic, complemented
14#21457226C211yesmaximal, characteristic, complemented
15#21457225C211yesmaximal, characteristic, complemented
16#21457224C211yesmaximal, characteristic, complemented
17#21457223C211yesmaximal, characteristic, complemented
18#479×D61C211yesmaximal, characteristic, complemented
19#478×D61C211yesmaximal, characteristic, complemented
20#476×D61C211yesmaximal, characteristic, complemented
21#474×D61C211yesmaximal, characteristic, complemented
22#469×D61C211yesmaximal, characteristic, complemented
23#468×D61C211yesmaximal, characteristic, complemented
24#466×D61C211yesmaximal, characteristic, complemented
25#465×D61C211yesmaximal, characteristic, complemented
26#460×D61C211yesmaximal, characteristic, complemented
27#463×D61C211yesmaximal, characteristic, complemented
28#463×D61C211yesmaximal, characteristic, complemented
29#459×D61C211yesmaximal, characteristic, complemented
30#424×D61C211yesmaximal, characteristic, complemented
31C61×#3257C211yesmaximal, characteristic, complemented
32C2×SD16×D61C2211yescharacteristic
33C2×SD16×D61C2211yescharacteristic
34C2×D8×D61C2211yescharacteristic
35C2×D8×D61C2211yescharacteristic
36C2×M16×D61C2211yescharacteristic
37C22×C8×D61C2211yescharacteristic
38#16840386C2211yescharacteristic, complemented
39#16840385C2211yescharacteristic, complemented
40#16840384C2211yescharacteristic, complemented
41#16840383C2211yescharacteristic, complemented
42#16840382—21no—
43#16840381C2211yescharacteristic, complemented
44#16840380—21no—
45#16840379C2211yescharacteristic, complemented
46#16840378—21no—
47#16840377C2211yescharacteristic, complemented
48#16840376—21no—
49#16840368C2211yescharacteristic, complemented
50#16840367C2211yescharacteristic, complemented
51#16840366C2211yescharacteristic, complemented
52#16840365C2211yescharacteristic, complemented
53#16840365C2211yescharacteristic, complemented
54#16840364—21no—
55#16840364—21no—
56#16840363C2211yescharacteristic, complemented
57#16840363C2211yescharacteristic, complemented
58#16840362—21no—
59#16840362—21no—
60C4⋊Q8×D61C2211yescharacteristic
61#127×D61C2211yescharacteristic
62#126×D61—21no—
63#125×D61C2211yescharacteristic
64#124×D61—21no—
65#124×D61C2211yescharacteristic
66#123×D61—21no—
67#123×D61—21no—
68#123×D61—21no—
69C22⋊Q8×D61—21no—
70C22⋊Q8×D61C2211yescharacteristic
71#121×D61—21no—
72#121×D61—21no—
73#121×D61C2211yescharacteristic
74#121×D61C2211yescharacteristic
75#121×D61C2211yescharacteristic
76C4×Q8×D61C2211yescharacteristic
77C4×D4×D61C2211yescharacteristic
78C4×D4×D61C2211yescharacteristic
79C4×D4×D61C2211yescharacteristic
80#117×D61C2211yescharacteristic
81#16840072C2211yescharacteristic, complemented
82#16840071C2211yescharacteristic, complemented
83#16840070C2211yescharacteristic, complemented
84#16840069C2211yescharacteristic, complemented
85#16840068C2211yescharacteristic, complemented
86#16840067C2211yescharacteristic, complemented
87#16840066C2211yescharacteristic, complemented
88#16840065C2211yescharacteristic, complemented
89#16840064C2211yescharacteristic, complemented
90#16840063C2211yescharacteristic, complemented
91#16840062C2211yescharacteristic, complemented
92#16840061C2211yescharacteristic, complemented
93#16840060C2211yescharacteristic, complemented
94#16840059C2211yescharacteristic, complemented
95#16840053C2211yescharacteristic, complemented
96#16840052C2211yescharacteristic, complemented
97#16840051C2211yescharacteristic, complemented
98#16840051C2211yescharacteristic, complemented
99#16840050C2211yescharacteristic, complemented
100#16840050C2211yescharacteristic, complemented
101#16840049C2211yescharacteristic, complemented
102#16840043C2211yescharacteristic, complemented
103#16840042C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840041C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic, complemented
107#16840040C2211yescharacteristic, complemented
108#16840039C2211yescharacteristic, complemented
109#16840016C2211yescharacteristic, complemented
110#16840015C2211yescharacteristic, complemented
111#16840014C2211yescharacteristic, complemented
112#16840014C2211yescharacteristic, complemented
113#16840013C2211yescharacteristic, complemented
114#16840013C2211yescharacteristic, complemented
115#16840012C2211yescharacteristic, complemented
116#16840011C2211yescharacteristic, complemented
117#16840010C2211yescharacteristic, complemented
118#16840009C2211yescharacteristic, complemented
119#16840008C2211yescharacteristic, complemented
120#16840007C2211yescharacteristic, complemented
121#16840006C2211yescharacteristic, complemented
122#16840005C2211yescharacteristic, complemented
123#16839999C2211yescharacteristic, complemented
124#16839998C2211yescharacteristic, complemented
125#16839997C2211yescharacteristic, complemented
126#16839997C2211yescharacteristic, complemented
127#16839996C2211yescharacteristic, complemented
128#16839996C2211yescharacteristic, complemented
129#16839995C2211yescharacteristic, complemented
130#16839994C2211yescharacteristic, complemented
131#16839993C2211yescharacteristic, complemented
132#16839992C2211yescharacteristic, complemented
133#16839991C2211yescharacteristic, complemented
134#16839990C2211yescharacteristic, complemented
135#16839989C2211yescharacteristic, complemented
136#16839988C2211yescharacteristic, complemented
137#16839980C2211yescharacteristic, complemented
138#16839980C2211yescharacteristic, complemented
139#16839979C2211yescharacteristic, complemented
140#16839979C2211yescharacteristic, complemented
141#16839978C2211yescharacteristic, complemented
142#16839978C2211yescharacteristic, complemented
143#16839977C2211yescharacteristic, complemented
144#16839977C2211yescharacteristic, complemented
145#16839976C2211yescharacteristic, complemented
146#16839976C2211yescharacteristic, complemented
147#16839975C2211yescharacteristic, complemented
148#16839975C2211yescharacteristic, complemented
149#16839974C2211yescharacteristic, complemented
150#16839974C2211yescharacteristic, complemented
151#16839963C2211yescharacteristic, complemented
152#16839962C2211yescharacteristic, complemented
153#16839961C2211yescharacteristic, complemented
154#16839961C2211yescharacteristic, complemented
155#16839960C2211yescharacteristic, complemented
156#16839960C2211yescharacteristic, complemented
157#16839959C2211yescharacteristic, complemented
158#16839958C2211yescharacteristic, complemented
159#16839957C2211yescharacteristic, complemented
160#16839956C2211yescharacteristic, complemented
161#16839956C2211yescharacteristic, complemented
162#16839955C2211yescharacteristic, complemented
163#16839955C2211yescharacteristic, complemented
164#16839954C2211yescharacteristic, complemented
165#107×D61C2211yescharacteristic
166#107×D61C2211yescharacteristic
167#106×D61C2211yescharacteristic
168#106×D61C2211yescharacteristic
169#16839790C2211yescharacteristic, complemented
170#16839789C2211yescharacteristic, complemented
171#16839788C2211yescharacteristic, complemented
172#16839787C2211yescharacteristic, complemented
173#16839787C2211yescharacteristic, complemented
174#16839787C2211yescharacteristic, complemented
175#16839787C2211yescharacteristic, complemented
176C4⋊C8×D61C2211yescharacteristic
177C4⋊C8×D61C2211yescharacteristic
178C4⋊C8×D61C2211yescharacteristic
179C4⋊C8×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185#102×D61C2211yescharacteristic
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic, complemented
189C61×#540C2211yescharacteristic, complemented
190C61×#479C2211yescharacteristic, complemented
191C61×#478C2211yescharacteristic, complemented
192C61×#476C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#466C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C61×#463C2211yescharacteristic, complemented
199C61×#463C2211yescharacteristic, complemented
200C61×#460C2211yescharacteristic, complemented
201C61×#459C2211yescharacteristic, complemented
202C61×#424C2211yescharacteristic, complemented
203C2×Q8×D61—21no—
204C2×Q8×D61C2311yescharacteristic
205C2×D4×D61—21no—
206C2×D4×D61—21no—
207C2×D4×D61—21no—
208C2×D4×D61—21no—
209C2×D4×D61—21no—
210C2×D4×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213C22×C4×D61—21no—
214C22×C4×D61—21no—
215C22×C4×D61—21no—
216C22×C4×D61C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223SD16×D61—42no—
224SD16×D61—42no—
225C2×D488C2311yescharacteristic
226C2×D488C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231D8×D61—42no—
232D8×D61—42no—
233C2×#11758194C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C2×#11758189C2311yescharacteristic
236M16×D61—42no—
237C22×#92418C2311yescharacteristic
238C2×C8×D61—42no—
239C2×C8×D61C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244C2×C8×D61C2311yescharacteristic
245#14519777C2311yescharacteristic
246#14519776—21no—
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519775—21no—
250#14519774C2311yescharacteristic
251#14519773—21no—
252#14519773—21no—
253#14519773C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519769C2311yescharacteristic
263#14519768C2311yescharacteristic
264#14519768C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519766—21no—
268#14519766C2311yescharacteristic
269#14519765—21no—
270#14519765C2311yescharacteristic
271#14519764—21no—
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519761—21no—
286#14519761—21no—
287#14519761—21no—
288#14519760—21no—
289#14519760—21no—
290#14519760—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519758—21no—
298#14519758—21no—
299#14519758—21no—
300#14519757—21no—
301#14519757C2311yescharacteristic
302#14519756—21no—
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519754—21no—
309#14519754—21no—
310#14519753—21no—
311#14519753C2311yescharacteristic
312#14519752—21no—
313#14519752—21no—
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519752C2311yescharacteristic
317#14519751—21no—
318#14519751—21no—
319#14519751C2311yescharacteristic
320#14519751C2311yescharacteristic
321#14519751C2311yescharacteristic
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519748—21no—
337#14519748—21no—
338#14519748C2311yescharacteristic
339#14519748C2311yescharacteristic
340#14519748C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122C2311yescharacteristic
344#14519742—21no—
345#14519742C2311yescharacteristic
346C4×D244C2311yescharacteristic
347C4×D244C2311yescharacteristic
348C4×D244C2311yescharacteristic
349D4×Dic61C2311yescharacteristic
350D4×Dic61C2311yescharacteristic
351D4×Dic61C2311yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354#14519739C2311yescharacteristic
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519736C2311yescharacteristic
362#14519735D411yescharacteristic
363#14519735D411yescharacteristic
364#14519734C2311yescharacteristic
365#14519734C2311yescharacteristic
366#14519733D411yescharacteristic
367#14519733D411yescharacteristic
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61D411yescharacteristic
374C4⋊C4×D61D411yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61D411yescharacteristic
389C22⋊C4×D61D411yescharacteristic
390C42×D61—21no—
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406C4⋊#92418C2311yescharacteristic
407C4⋊#92418C2311yescharacteristic
408C4⋊#92418C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519706C2311yescharacteristic
412#14519706C2311yescharacteristic
413#14519706C2311yescharacteristic
414#14519706C2311yescharacteristic
415#14519706C2311yescharacteristic
416#14519706C2311yescharacteristic
417#14519702C2311yescharacteristic
418#14519702C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519698C2311yescharacteristic
434#14519698C2311yescharacteristic
435#14519697C2311yescharacteristic
436#14519697C2311yescharacteristic
437#14519697C2311yescharacteristic
438#14519697C2311yescharacteristic
439#14519697C2311yescharacteristic
440#14519697C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#127×C61C2311yescharacteristic
449#126×C61—21no—
450#125×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454#123×C61—21no—
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487C23×D61C2×D411yescharacteristic
488C2×Q8×C61—21no—
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61C2×D411yescharacteristic
519Q8×D61—22no—
520Q8×D61—22no—
521Q8×D61—82no—
522D4×D61—22no—
523D4×D61—22no—
524D4×D61—22no—
525D4×D61—22no—
526D4×D61—22no—
527D4×D61—22no—
528D4×D61—82no—
529D4×D61—82no—
530D4×D61—82no—
531D4×D61—82no—
532D4×D61—82no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—21no—
537C2×D244—21no—
538C2×D244C2411yescharacteristic
539C2×D244C2411yescharacteristic
540C2×D244C2411yescharacteristic
541C2×C4×D61—22no—
542C2×C4×D61—22no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—82no—
555C2×C4×D61—82no—
556C2×C4×D61—82no—
557C2×C4×D61C2×D411yescharacteristic
558C2×C4×D61C2×D411yescharacteristic
559C2×C4×D61C2×D411yescharacteristic
560C2×C4×D61C2×D411yescharacteristic
561C2×C4×D61C2×D411yescharacteristic
562C2×C4×D61C2×D411yescharacteristic
563C2×C4×D61C2411yescharacteristic
564C2×C4×D61C2411yescharacteristic
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122C2411yescharacteristic
570SD16×C61—41no—
571SD16×C61—41no—
572D8×C61—41no—
573D8×C61—41no—
574M16×C61—41no—
575C2×C8×C61—41no—
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61C2×D411yescharacteristic
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61C2×D411yescharacteristic
601C22⋊C4×C61C2×D411yescharacteristic
602C42×C61—21no—
603C42×C61C2411yescharacteristic
604C42×C61C2411yescharacteristic
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616#11758201—41no—
617#11758201—41no—
618#11758200—41no—
619#11758200—41no—
620#11758199—41no—
621#11758199—41no—
622#11758199—41no—
623#11758199—41no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61C2×D411yescharacteristic
679C4×Dic61C2×D411yescharacteristic
680C4×Dic61C2×D411yescharacteristic
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2411yescharacteristic
683C4×Dic61C2411yescharacteristic
684#11758194—41no—
685C2×#92418—41no—
686C2×#92418C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690D488—41no—
691D488—41no—
692#11758190—41no—
693#11758190—41no—
694#11758189—41no—
695#11758189—41no—
696C8×D61—22no—
697C8×D61—22no—
698C8×D61—22no—
699C8×D61—22no—
700C8×D61—41no—
701C8×D61—41no—
702C23×C61—21no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C22×D61—22no—
707C22×D61—22no—
708C22×D61—22no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—42no—
713C22×D61—42no—
714C22×D61—42no—
715C22×D61—42no—
716C22×D61—42no—
717C22×D61—42no—
718C22×D61—42no—
719C22×D61—42no—
720C22×D61—42no—
721C22×D61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—81no—
726D4×C61—21no—
727D4×C61—21no—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735D4×C61—81no—
736D4×C61—81no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C2511yescharacteristic
753C22⋊D61—42no—
754C22⋊D61—42no—
755C22⋊D61—42no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C2×Dic61—22no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—81no—
773C2×Dic61—81no—
774C2×Dic61—81no—
775C2×Dic61C22×D411yescharacteristic
776C2×Dic61C22×D411yescharacteristic
777C2×Dic61C22×D411yescharacteristic
778C2×Dic61C22×D411yescharacteristic
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781D244—21no—
782D244—21no—
783D244—21no—
784D244—21no—
785D244—21no—
786D244—21no—
787D244—81no—
788D244—81no—
789D244—81no—
790D244—81no—
791D244—81no—
792C4×D61—22no—
793C4×D61—22no—
794C4×D61—22no—
795C4×D61—22no—
796C4×D61—22no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—22no—
800C4×D61—42no—
801C4×D61—42no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811C4×D61H(5,𝔽2)12yes—
812C4×D612−1+412yes—
813Dic122—21no—
814Dic122—21no—
815Dic122—42no—
816Dic122—81no—
817Dic122—81no—
818Dic122—81no—
819C8×C61—21no—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823#92418—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827C2×#3257—611nomaximal, Sylow
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61C23×D411yescharacteristic
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—44no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—84no—
855C2×D61—84no—
856C2×D61—84no—
857C2×D61#53712yes—
858C2×D61#57612yes—
859C2×D61#57712yes—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—21no—
863C4×C61—21no—
864C4×C61—21no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61C2×H(5,𝔽2)11yescharacteristic
871C4×C61C2×2−1+411yescharacteristic
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—21no—
876Dic61—21no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61#53712yes—
883C2×#542—611no—
884C2×#540—611no—
885#3257—611no—
886#3257—611no—
887#3257—611no—
888#3257—611no—
889#3257—611no—
890#3257—611no—
891#3257—611no—
892#3257—611no—
893#3257—611no—
894#3257—611no—
895#3257—611no—
896#3257—611no—
897#3257—611no—
898#3257—611no—
899#3257—611no—
900#3257D6111yescharacteristic, direct product factor
901C2×#479—611no—
902C2×#478—611no—
903C2×#476—611no—
904C2×#474—611no—
905C2×#469—611no—
906C2×#468—611no—
907C2×#466—611no—
908C2×#465—611no—
909C2×#460—611no—
910C2×#463—611no—
911C2×#463—611no—
912C2×#459—611no—
913C2×#424—611no—
914C2×C61—41no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61—81no—
918C2×C61C2×#53711yescharacteristic
919C2×C61C2×#57611yescharacteristic
920C2×C61C2×#57711yescharacteristic
921D61—41no—
922D61—81no—
923D61—81no—
924D61—81no—
925D61#325714yesdirect product factor
926C22×SD16—611no—
927C22×SD16—611no—
928C22×D8—611no—
929C22×D8—611no—
930C22×M16—611no—
931C23×C8—611no—
932#542—611no—
933#542—611no—
934#542—611no—
935#542—611no—
936#542—611no—
937#542—611no—
938#542—611no—
939#542—1221no—
940#542—1221no—
941#542—1221no—
942#542—1221no—
943#542C2×D6111yescharacteristic, complemented
944#540—611no—
945#540—611no—
946#540—611no—
947#540—611no—
948#540—611no—
949#540—611no—
950#540—611no—
951#540—1221no—
952#540—1221no—
953#540—1221no—
954#540—1221no—
955#540C2×D6111yescharacteristic, complemented
956C2×C4⋊Q8—611no—
957C2×#127—611no—
958C2×#126—1221no—
959C2×#125—611no—
960C2×#124—611no—
961C2×#124—1221no—
962C2×#123—1221no—
963C2×#123—1221no—
964C2×#123—1221no—
965C2×C22⋊Q8—611no—
966C2×C22⋊Q8—1221no—
967C2×#121—611no—
968C2×#121—611no—
969C2×#121—611no—
970C2×#121—1221no—
971C2×#121—1221no—
972C2×C4×Q8—611no—
973C2×C4×D4—611no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×#117—611no—
977#479—611no—
978#479—611no—
979#479—611no—
980#479—611no—
981#479—611no—
982#479—611no—
983#479—611no—
984#479C2×D6111yescharacteristic, complemented
985#478—611no—
986#478—611no—
987#478—611no—
988#478—611no—
989#478—611no—
990#478—611no—
991#478—611no—
992#478C2×D6111yescharacteristic, complemented
993#476—611no—
994#476—611no—
995#476—611no—
996#476—611no—
997#476—611no—
998#476—611no—
999#476—611no—
1000#476C2×D6111yescharacteristic, complemented
1001#474—611no—
1002#474—611no—
1003#474—611no—
1004#474—611no—
1005#474—611no—
1006#474—611no—
1007#474—611no—
1008#474C2×D6111yescharacteristic, complemented
1009#469—611no—
1010#469—611no—
1011#469—611no—
1012#469—611no—
1013#469—611no—
1014#469—611no—
1015#469—611no—
1016#469C2×D6111yescharacteristic, complemented
1017#468—611no—
1018#468—611no—
1019#468—611no—
1020#468—611no—
1021#468—611no—
1022#468—611no—
1023#468—611no—
1024#468C2×D6111yescharacteristic, complemented
1025#466—611no—
1026#466—611no—
1027#466—611no—
1028#466—611no—
1029#466—611no—
1030#466—611no—
1031#466—611no—
1032#466C2×D6111yescharacteristic, complemented
1033#465—611no—
1034#465—611no—
1035#465—611no—
1036#465—611no—
1037#465—611no—
1038#465—611no—
1039#465—611no—
1040#465C2×D6111yescharacteristic, complemented
1041#463—611no—
1042#463—611no—
1043#463—611no—
1044#463—611no—
1045#463—611no—
1046#463—611no—
1047#463—611no—
1048#463—611no—
1049#463—611no—
1050#463—611no—
1051#463—611no—
1052#463—611no—
1053#463—611no—
1054#463—611no—
1055#463C2×D6111yescharacteristic, complemented
1056#463C2×D6111yescharacteristic, complemented
1057#460—611no—
1058#460—611no—
1059#460—611no—
1060#460—611no—
1061#460—611no—
1062#460—611no—
1063#460—611no—
1064#460C2×D6111yescharacteristic, complemented
1065#459—611no—
1066#459—611no—
1067#459—611no—
1068#459—611no—
1069#459—611no—
1070#459—611no—
1071#459—611no—
1072#459C2×D6111yescharacteristic, complemented
1073C2×#107—611no—
1074C2×#107—611no—
1075C2×#106—611no—
1076C2×#106—611no—
1077#424—611no—
1078#424—611no—
1079#424—611no—
1080#424—611no—
1081#424—611no—
1082#424—611no—
1083#424—611no—
1084#424C2×D6111yescharacteristic, complemented
1085C2×C4⋊C8—611no—
1086C2×C4⋊C8—611no—
1087C2×C4⋊C8—611no—
1088C2×C4⋊C8—611no—
1089C2×#103—611no—
1090C2×#103—611no—
1091C2×#102—611no—
1092C2×#102—611no—
1093C2×#102—611no—
1094C2×#102—611no—
1095C2×#102—611no—
1096C2×#102—611no—
1097C61C2×#325711yescharacteristic, complemented, Sylow
1098C22×Q8—611no—
1099C22×Q8—1221no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—1221no—
1104C22×D4—1221no—
1105C22×D4—1221no—
1106C22×D4—1221no—
1107C22×D4—1221no—
1108C23×C4—611no—
1109C23×C4—1221no—
1110C23×C4—1221no—
1111C23×C4—1221no—
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—2442no—
1119C2×SD16—2442no—
1120C2×SD16C22×D6111yescharacteristic
1121C2×SD16C22×D6111yescharacteristic
1122C2×D8—611no—
1123C2×D8—611no—
1124C2×D8—611no—
1125C2×D8—611no—
1126C2×D8—611no—
1127C2×D8—611no—
1128C2×D8—2442no—
1129C2×D8—2442no—
1130C2×D8C22×D6111yescharacteristic
1131C2×D8C22×D6111yescharacteristic
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—2442no—
1136C2×M16C22×D6111yescharacteristic
1137C22×C8—611no—
1138C22×C8—611no—
1139C22×C8—611no—
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8—611no—
1144C22×C8—2442no—
1145C22×C8C22×D6111yescharacteristic
1146C4⋊Q8—611no—
1147C4⋊Q8—611no—
1148C4⋊Q8—611no—
1149C4⋊Q8—1221no—
1150C4⋊Q8—1221no—
1151C4⋊Q8C22×D6111yescharacteristic
1152#127—611no—
1153#127—611no—
1154#127—611no—
1155#127—1221no—
1156#127—1221no—
1157#127C22×D6111yescharacteristic
1158#126—21no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#125—611no—
1167#125—611no—
1168#125—611no—
1169#125—1221no—
1170#125—1221no—
1171#125C22×D6111yescharacteristic
1172#124—21no—
1173#124—611no—
1174#124—611no—
1175#124—611no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124C22×D6111yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210C22⋊Q8—21no—
1211C22⋊Q8—611no—
1212C22⋊Q8—611no—
1213C22⋊Q8—611no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221C22⋊Q8—1221no—
1222C22⋊Q8—1221no—
1223C22⋊Q8C22×D6111yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—611no—
1227#121—611no—
1228#121—611no—
1229#121—611no—
1230#121—611no—
1231#121—611no—
1232#121—611no—
1233#121—611no—
1234#121—611no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121C22×D6111yescharacteristic
1256#121C22×D6111yescharacteristic
1257#121C22×D6111yescharacteristic
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8C22×D6111yescharacteristic
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—1221no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4C22×D6111yescharacteristic
1280C4×D4C22×D6111yescharacteristic
1281C4×D4C22×D6111yescharacteristic
1282#117—611no—
1283#117—611no—
1284#117—611no—
1285#117—611no—
1286#117—611no—
1287#117—611no—
1288#117—611no—
1289#117C22×D6111yescharacteristic
1290C2×C4⋊C4—611no—
1291C2×C4⋊C4—611no—
1292C2×C4⋊C4—611no—
1293C2×C4⋊C4—611no—
1294C2×C4⋊C4—611no—
1295C2×C4⋊C4—611no—
1296C2×C4⋊C4—1221no—
1297C2×C4⋊C4—1221no—
1298C2×C4⋊C4—1221no—
1299C2×C4⋊C4—1221no—
1300C2×C4⋊C4—1221no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C22⋊C4—1221no—
1308C2×C22⋊C4—1221no—
1309C2×C22⋊C4—1221no—
1310C2×C22⋊C4—1221no—
1311C2×C22⋊C4—1221no—
1312C2×C42—611no—
1313C2×C42—611no—
1314C2×C42—1221no—
1315#107—611no—
1316#107—611no—
1317#107—611no—
1318#107—611no—
1319#107—611no—
1320#107—611no—
1321#107C22×D6111yescharacteristic
1322#107C22×D6111yescharacteristic
1323#106—611no—
1324#106—611no—
1325#106—611no—
1326#106—611no—
1327#106—611no—
1328#106—611no—
1329#106C22×D6111yescharacteristic
1330#106C22×D6111yescharacteristic
1331C4⋊C8—611no—
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8—611no—
1338C4⋊C8—611no—
1339C4⋊C8—611no—
1340C4⋊C8—611no—
1341C4⋊C8—611no—
1342C4⋊C8—611no—
1343C4⋊C8C22×D6111yescharacteristic
1344C4⋊C8C22×D6111yescharacteristic
1345C4⋊C8C22×D6111yescharacteristic
1346C4⋊C8C22×D6111yescharacteristic
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103C22×D6111yescharacteristic
1354#103C22×D6111yescharacteristic
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102—611no—
1373#102C22×D6111yescharacteristic
1374#102C22×D6111yescharacteristic
1375#102C22×D6111yescharacteristic
1376#102C22×D6111yescharacteristic
1377#102C22×D6111yescharacteristic
1378#102C22×D6111yescharacteristic
1379C24—611no—
1380C24—1221no—
1381C24—1221no—
1382C24—1221no—
1383C2×Q8—21no—
1384C2×Q8—611no—
1385C2×Q8—1221no—
1386C2×Q8—1221no—
1387C2×Q8—1221no—
1388C2×Q8—1222no—
1389C2×Q8—1222no—
1390C2×Q8—1221no—
1391C2×Q8—4882no—
1392C2×Q8C23×D6111yescharacteristic
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—611no—
1399C2×D4—611no—
1400C2×D4—611no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—4882no—
1426C2×D4—4882no—
1427C2×D4—4882no—
1428C2×D4—4882no—
1429C2×D4—4882no—
1430C2×D4C23×D6111yescharacteristic
1431C2×D4C23×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
1441C22×C4—611no—
1442C22×C4—611no—
1443C22×C4—611no—
1444C22×C4—611no—
1445C22×C4—1222no—
1446C22×C4—1222no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4—1221no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—4882no—
1462C22×C4—4882no—
1463C22×C4—4882no—
1464C22×C4C23×D6111yescharacteristic
1465SD16—41no—
1466SD16—41no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471SD16—2441no—
1472SD16—2441no—
1473D8—41no—
1474D8—41no—
1475D8—2441no—
1476D8—2441no—
1477D8—2441no—
1478D8—2441no—
1479D8—2441no—
1480D8—2441no—
1481M16—41no—
1482M16—2441no—
1483M16—2441no—
1484M16—2441no—
1485C2×C8—41no—
1486C2×C8—611no—
1487C2×C8—611no—
1488C2×C8—611no—
1489C2×C8—611no—
1490C2×C8—1222no—
1491C2×C8—1222no—
1492C2×C8—1222no—
1493C2×C8—1222no—
1494C2×C8—2441no—
1495C2×C8—2441no—
1496C2×C8—2441no—
1497C2×C8C23×D6111yescharacteristic
1498C2×C8C23×D6111yescharacteristic
1499C2×C8C23×D6111yescharacteristic
1500C2×C8C23×D6111yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—611no—
1507C4⋊C4—611no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4D4×D6111yescharacteristic
1536C4⋊C4D4×D6111yescharacteristic
1537C4⋊C4C23×D6111yescharacteristic
1538C4⋊C4C23×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C4⋊C4C23×D6111yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4D4×D6111yescharacteristic
1584C22⋊C4D4×D6111yescharacteristic
1585C42—21no—
1586C42—611no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—611no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42C23×D6111yescharacteristic
1596C42C23×D6111yescharacteristic
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—611no—
1601C23—611no—
1602C23—1222no—
1603C23—1222no—
1604C23—1222no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—2442no—
1609C23—2442no—
1610C23—2442no—
1611C23—2442no—
1612C23—2442no—
1613C23—2442no—
1614C23—2442no—
1615C23—2442no—
1616C23—2442no—
1617C23C2×D4×D6111yescharacteristic
1618Q8—21no—
1619Q8—21no—
1620Q8—81no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—4881no—
1626Q8—2442no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—4881no—
1659D4—2442no—
1660D4—2442no—
1661D4—2442no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—611no—
1673C2×C4—612no—
1674C2×C4—612no—
1675C2×C4—611no—
1676C2×C4—611no—
1677C2×C4—611no—
1678C2×C4—611no—
1679C2×C4—611no—
1680C2×C4—1222no—
1681C2×C4—1222no—
1682C2×C4—1222no—
1683C2×C4—1222no—
1684C2×C4—1222no—
1685C2×C4—1222no—
1686C2×C4—1222no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—4881no—
1703C2×C4—2442no—
1704C2×C4—2442no—
1705C2×C4—2442no—
1706C2×C4—2442no—
1707C2×C4—2442no—
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C2×D4×D6111yescharacteristic
1713C2×C4C24×D6111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C8—1221no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—612no—
1735C22—612no—
1736C22—612no—
1737C22—1221no—
1738C22—1221no—
1739C22—1221no—
1740C22—4884no—
1741C22—4884no—
1742C22—4884no—
1743C22—2444no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22C22×D4×D6111yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—612no—
1765C4—1221no—
1766C4—1221no—
1767C4—1221no—
1768C4—1221no—
1769C4—1221no—
1770C4—2441no—
1771C4—2441no—
1772C4—2441no—
1773C4—2441no—
1774C4—2441no—
1775C4H(5,𝔽2)×D6111yescharacteristic
1776C42−1+4×D6111yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—614no—
1782C2—4881no—
1783C2—4881no—
1784C2—4881no—
1785C2—2441no—
1786C2#537×D6111yescharacteristic
1787C2#576×D6111yescharacteristic
1788C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3257C2
socleC22×C61C23×D4
hypercenter#3257D61
hypocenterC61C2×#3257
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #542×D61C2semidirect
2. #540×D61C2semidirect
3. #21457237C2semidirect
4. #21457236C2semidirect
5. #21457235C2semidirect
6. #21457234C2semidirect
7. #21457233C2semidirect
8. #21457232C2semidirect
9. #21457231C2semidirect
10. #21457230C2semidirect
11. #21457229C2semidirect
12. #21457228C2semidirect
13. #21457227C2semidirect
14. #21457226C2semidirect
15. #21457225C2semidirect
16. #21457224C2semidirect
17. #21457223C2semidirect
18. #479×D61C2semidirect
19. #478×D61C2semidirect
20. #476×D61C2semidirect
21. #474×D61C2semidirect
22. #469×D61C2semidirect
23. #468×D61C2semidirect
24. #466×D61C2semidirect
25. #465×D61C2semidirect
26. #460×D61C2semidirect
27. #463×D61C2semidirect
28. #463×D61C2semidirect
29. #459×D61C2semidirect
30. #424×D61C2semidirect
31. C61×#3257C2semidirect
38. #16840386C22semidirect
39. #16840385C22semidirect
40. #16840384C22semidirect
41. #16840383C22semidirect
43. #16840381C22semidirect
45. #16840379C22semidirect
47. #16840377C22semidirect
49. #16840368C22semidirect
50. #16840367C22semidirect
51. #16840366C22semidirect
52. #16840365C22semidirect
53. #16840365C22semidirect
56. #16840363C22semidirect
57. #16840363C22semidirect
81. #16840072C22semidirect
82. #16840071C22semidirect
83. #16840070C22semidirect
84. #16840069C22semidirect
85. #16840068C22semidirect
86. #16840067C22semidirect
87. #16840066C22semidirect
88. #16840065C22semidirect
89. #16840064C22semidirect
90. #16840063C22semidirect
91. #16840062C22semidirect
92. #16840061C22semidirect
93. #16840060C22semidirect
94. #16840059C22semidirect
95. #16840053C22semidirect
96. #16840052C22semidirect
97. #16840051C22semidirect
98. #16840051C22semidirect
99. #16840050C22semidirect
100. #16840050C22semidirect
101. #16840049C22semidirect
102. #16840043C22semidirect
103. #16840042C22semidirect
104. #16840041C22semidirect
105. #16840041C22semidirect
106. #16840040C22semidirect
107. #16840040C22semidirect
108. #16840039C22semidirect
109. #16840016C22semidirect
110. #16840015C22semidirect
111. #16840014C22semidirect
112. #16840014C22semidirect
113. #16840013C22semidirect
114. #16840013C22semidirect
115. #16840012C22semidirect
116. #16840011C22semidirect
117. #16840010C22semidirect
118. #16840009C22semidirect
119. #16840008C22semidirect
120. #16840007C22semidirect
121. #16840006C22semidirect
122. #16840005C22semidirect
123. #16839999C22semidirect
124. #16839998C22semidirect
125. #16839997C22semidirect
126. #16839997C22semidirect
127. #16839996C22semidirect
128. #16839996C22semidirect
129. #16839995C22semidirect
130. #16839994C22semidirect
131. #16839993C22semidirect
132. #16839992C22semidirect
133. #16839991C22semidirect
134. #16839990C22semidirect
135. #16839989C22semidirect
136. #16839988C22semidirect
137. #16839980C22semidirect
138. #16839980C22semidirect
139. #16839979C22semidirect
140. #16839979C22semidirect
141. #16839978C22semidirect
142. #16839978C22semidirect
143. #16839977C22semidirect
144. #16839977C22semidirect
145. #16839976C22semidirect
146. #16839976C22semidirect
147. #16839975C22semidirect
148. #16839975C22semidirect
149. #16839974C22semidirect
150. #16839974C22semidirect
151. #16839963C22semidirect
152. #16839962C22semidirect
153. #16839961C22semidirect
154. #16839961C22semidirect
155. #16839960C22semidirect
156. #16839960C22semidirect
157. #16839959C22semidirect
158. #16839958C22semidirect
159. #16839957C22semidirect
160. #16839956C22semidirect
161. #16839956C22semidirect
162. #16839955C22semidirect
163. #16839955C22semidirect
164. #16839954C22semidirect
169. #16839790C22semidirect
170. #16839789C22semidirect
171. #16839788C22semidirect
172. #16839787C22semidirect
173. #16839787C22semidirect
174. #16839787C22semidirect
175. #16839787C22semidirect
188. C61×#542C22semidirect
189. C61×#540C22semidirect
190. C61×#479C22semidirect
191. C61×#478C22semidirect
192. C61×#476C22semidirect
193. C61×#474C22semidirect
194. C61×#469C22semidirect
195. C61×#468C22semidirect
196. C61×#466C22semidirect
197. C61×#465C22semidirect
198. C61×#463C22semidirect
199. C61×#463C22semidirect
200. C61×#460C22semidirect
201. C61×#459C22semidirect
202. C61×#424C22semidirect
900. #3257D61direct (N × H)
925. D61#3257direct (N × H)
943. #542C2×D61semidirect
955. #540C2×D61semidirect
984. #479C2×D61semidirect
992. #478C2×D61semidirect
1000. #476C2×D61semidirect
1008. #474C2×D61semidirect
1016. #469C2×D61semidirect
1024. #468C2×D61semidirect
1032. #466C2×D61semidirect
1040. #465C2×D61semidirect
1055. #463C2×D61semidirect
1056. #463C2×D61semidirect
1064. #460C2×D61semidirect
1072. #459C2×D61semidirect
1084. #424C2×D61semidirect
1097. C61C2×#3257semidirect

Maximal subgroups

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

subgroupindex
#542×D612
#540×D612
#214572372
#214572362
#214572352
#214572342
#214572332
#214572322
#214572312
#214572302
#214572292
#214572282
#214572272
#214572262
#214572252
#214572242
#214572232
#479×D612
#478×D612
#476×D612
#474×D612
#469×D612
#468×D612
#466×D612
#465×D612
#460×D612
#463×D612
#459×D612
#424×D612
C61×#32572
C2×#325761