Finite Group Databasebeta

← D61×#3337 #30558452

Subgroups — D61×#3337 #30558452

Order 15616.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D61C211yesmaximal, characteristic
2#552×D61C211yesmaximal, characteristic, complemented
3#21458205C211yesmaximal, characteristic, complemented
4#21458204C211yesmaximal, characteristic, complemented
5#21458203C211yesmaximal, characteristic, complemented
6#21458202C211yesmaximal, characteristic, complemented
7#21458201C211yesmaximal, characteristic, complemented
8#21458200C211yesmaximal, characteristic, complemented
9#21458199C211yesmaximal, characteristic, complemented
10#21458198C211yesmaximal, characteristic, complemented
11#21458197C211yesmaximal, characteristic, complemented
12#21458196C211yesmaximal, characteristic, complemented
13#21458195C211yesmaximal, characteristic, complemented
14#21458194C211yesmaximal, characteristic, complemented
15#21458193C211yesmaximal, characteristic, complemented
16#21458192C211yesmaximal, characteristic, complemented
17#21458191C211yesmaximal, characteristic, complemented
18#499×D61C211yesmaximal, characteristic, complemented
19#484×D61C211yesmaximal, characteristic, complemented
20#485×D61C211yesmaximal, characteristic, complemented
21#482×D61C211yesmaximal, characteristic, complemented
22#480×D61C211yesmaximal, characteristic, complemented
23#479×D61C211yesmaximal, characteristic, complemented
24#478×D61C211yesmaximal, characteristic, complemented
25#465×D61C211yesmaximal, characteristic, complemented
26#465×D61C211yesmaximal, characteristic, complemented
27C4×SD16×D61C211yesmaximal, characteristic, complemented
28C8×D4×D61C211yesmaximal, characteristic, complemented
29#427×D61C211yesmaximal, characteristic, complemented
30C2×#106×D61C211yesmaximal, characteristic, complemented
31C61×#3337C211yesmaximal, characteristic, complemented
32C2×SD16×D61C2211yescharacteristic
33C22×C8×D61C2211yescharacteristic
34C22×C8×D61C2211yescharacteristic
35#16840465C2211yescharacteristic
36#16840464C2211yescharacteristic
37#16840463—21no—
38#16840462C2211yescharacteristic
39#16840461—21no—
40#16840460C2211yescharacteristic
41#16840459C2211yescharacteristic
42#16840458C2211yescharacteristic
43#16840457—21no—
44#16840456C2211yescharacteristic
45#16840455—21no—
46#16840454C2211yescharacteristic, complemented
47#16840453C2211yescharacteristic, complemented
48#16840452C2211yescharacteristic, complemented
49#16840451C2211yescharacteristic, complemented
50#16840450C2211yescharacteristic, complemented
51#16840449—21no—
52#16840448—21no—
53#16840447C2211yescharacteristic, complemented
54#16840446C2211yescharacteristic, complemented
55#16840445—21no—
56#16840444—21no—
57#126×D61—21no—
58#126×D61—21no—
59#125×D61—21no—
60#125×D61C2211yescharacteristic
61#125×D61C2211yescharacteristic
62#123×D61—21no—
63#123×D61—21no—
64C22⋊Q8×D61C2211yescharacteristic
65C22⋊Q8×D61C2211yescharacteristic
66#121×D61—21no—
67#121×D61C2211yescharacteristic
68#121×D61C2211yescharacteristic
69C4×Q8×D61C2211yescharacteristic
70C4×D4×D61—21no—
71C4×D4×D61C2211yescharacteristic
72C4×D4×D61C2211yescharacteristic
73#117×D61—21no—
74#117×D61C2211yescharacteristic
75#117×D61C2211yescharacteristic
76C2×C4⋊C4×D61C2211yescharacteristic
77C2×C4⋊C4×D61C2211yescharacteristic
78#16840164C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840163C2211yescharacteristic, complemented
81#16840162C2211yescharacteristic, complemented
82#16840162C2211yescharacteristic, complemented
83#16840161C2211yescharacteristic, complemented
84#16840161C2211yescharacteristic, complemented
85#16840106C2211yescharacteristic, complemented
86#16840105C2211yescharacteristic, complemented
87#16840104C2211yescharacteristic, complemented
88#16840103C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840101C2211yescharacteristic, complemented
91#16840100C2211yescharacteristic, complemented
92#16840099C2211yescharacteristic, complemented
93#16840099C2211yescharacteristic, complemented
94#16840098C2211yescharacteristic, complemented
95#16840097C2211yescharacteristic, complemented
96#16840096C2211yescharacteristic, complemented
97#16840096C2211yescharacteristic, complemented
98#16840095C2211yescharacteristic, complemented
99#16840089C2211yescharacteristic, complemented
100#16840088C2211yescharacteristic, complemented
101#16840087C2211yescharacteristic, complemented
102#16840086C2211yescharacteristic, complemented
103#16840085C2211yescharacteristic, complemented
104#16840084C2211yescharacteristic, complemented
105#16840083C2211yescharacteristic, complemented
106#16840077C2211yescharacteristic, complemented
107#16840077C2211yescharacteristic, complemented
108#16840076C2211yescharacteristic, complemented
109#16840075C2211yescharacteristic, complemented
110#16840074C2211yescharacteristic, complemented
111#16840074C2211yescharacteristic, complemented
112#16840073C2211yescharacteristic, complemented
113#16840072C2211yescharacteristic, complemented
114#16840071C2211yescharacteristic, complemented
115#16840070C2211yescharacteristic, complemented
116#16840069C2211yescharacteristic, complemented
117#16840068C2211yescharacteristic, complemented
118#16840067C2211yescharacteristic, complemented
119#16840066C2211yescharacteristic, complemented
120#16840065C2211yescharacteristic, complemented
121#16840064C2211yescharacteristic, complemented
122#16840063C2211yescharacteristic, complemented
123#16840062C2211yescharacteristic, complemented
124#16840061C2211yescharacteristic, complemented
125#16840060C2211yescharacteristic, complemented
126#16840059C2211yescharacteristic, complemented
127#16839994C2211yescharacteristic, complemented
128#16839994C2211yescharacteristic, complemented
129#16839993C2211yescharacteristic, complemented
130#16839993C2211yescharacteristic, complemented
131#16839992C2211yescharacteristic, complemented
132#16839992C2211yescharacteristic, complemented
133#16839991C2211yescharacteristic, complemented
134#16839991C2211yescharacteristic, complemented
135#16839990C2211yescharacteristic, complemented
136#16839990C2211yescharacteristic, complemented
137#16839989C2211yescharacteristic, complemented
138#16839989C2211yescharacteristic, complemented
139#16839988C2211yescharacteristic, complemented
140#16839988C2211yescharacteristic, complemented
141#16839853C2211yescharacteristic, complemented
142C4×#11758190C2211yescharacteristic, complemented
143SD16×Dic61C2211yescharacteristic, complemented
144C4×#11758201C2211yescharacteristic, complemented
145#16839849C2211yescharacteristic, complemented
146C4×#11758200C2211yescharacteristic, complemented
147#16839847C2211yescharacteristic, complemented
148C8×D244C2211yescharacteristic, complemented
149D4×#92418C2211yescharacteristic, complemented
150#16839827C2211yescharacteristic, complemented
151C8×C22⋊D61C2211yescharacteristic, complemented
152C8×C22⋊D61C2211yescharacteristic, complemented
153#16839825C2211yescharacteristic, complemented
154#16839825C2211yescharacteristic, complemented
155#16839800C2211yescharacteristic, complemented
156#16839799C2211yescharacteristic, complemented
157#16839799C2211yescharacteristic, complemented
158#16839798C2211yescharacteristic, complemented
159#16839798C2211yescharacteristic, complemented
160#16839797C2211yescharacteristic, complemented
161#16839797C2211yescharacteristic, complemented
162#107×D61C2211yescharacteristic
163#107×D61C2211yescharacteristic
164#107×D61C2211yescharacteristic
165#107×D61C2211yescharacteristic
166C2×#14519709C2211yescharacteristic, complemented
167C2×#14519708C2211yescharacteristic, complemented
168C2×#14519708C2211yescharacteristic, complemented
169#106×D61C2211yescharacteristic
170#106×D61C2211yescharacteristic
171#106×D61C2211yescharacteristic
172#106×D61C2211yescharacteristic
173#106×D61C2211yescharacteristic
174#106×D61C2211yescharacteristic, complemented
175#106×D61C2211yescharacteristic, complemented
176#106×D61C2211yescharacteristic, complemented
177#106×D61C2211yescharacteristic, complemented
178C4⋊C8×D61C2211yescharacteristic
179#103×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#552C2211yescharacteristic, complemented
190C61×#499C2211yescharacteristic, complemented
191C61×#485C2211yescharacteristic, complemented
192C61×#484C2211yescharacteristic, complemented
193C61×#482C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic, complemented
195C61×#479C2211yescharacteristic, complemented
196C61×#478C2211yescharacteristic, complemented
197C61×#465C2211yescharacteristic, complemented
198C61×#465C2211yescharacteristic, complemented
199C4×SD16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#427C2211yescharacteristic, complemented
202C2×#106×C61C2211yescharacteristic, complemented
203C2×Q8×D61C2311yescharacteristic
204C2×D4×D61—21no—
205C2×D4×D61—21no—
206C2×D4×D61D411yescharacteristic
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C22×C4×D61—21no—
210C22×C4×D61—21no—
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758200C2311yescharacteristic
215C2×#11758201C2311yescharacteristic
216SD16×D61—24no—
217C22×#92418C2311yescharacteristic
218C22×#92418C2311yescharacteristic
219C2×C8×D61—24no—
220C2×C8×D61—24no—
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225C2×C8×D61C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519771—21no—
236#14519771—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769—21no—
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519768—21no—
247#14519768—21no—
248#14519768C2311yescharacteristic
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519762—21no—
261#14519762—21no—
262#14519762—21no—
263#14519762—21no—
264#14519761—21no—
265#14519761—21no—
266#14519760—21no—
267#14519760—21no—
268#14519759—21no—
269#14519759—21no—
270#14519759—21no—
271#14519759—21no—
272#14519758—21no—
273#14519758—21no—
274#14519757C2311yescharacteristic
275#14519757C2311yescharacteristic
276#14519756C2311yescharacteristic
277#14519756C2311yescharacteristic
278#14519755—21no—
279#14519755—21no—
280#14519754—21no—
281#14519754—21no—
282#14519753C2311yescharacteristic
283#14519753C2311yescharacteristic
284#14519752—21no—
285#14519752C2311yescharacteristic
286#14519752C2311yescharacteristic
287#14519751—21no—
288#14519751C2311yescharacteristic
289#14519751C2311yescharacteristic
290#14519750—21no—
291#14519750—21no—
292#14519750—21no—
293#14519750—21no—
294#14519749—21no—
295#14519749—21no—
296#14519749—21no—
297#14519749—21no—
298#14519748—21no—
299#14519748C2311yescharacteristic
300#14519748C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302C4×Dic122—21no—
303C4×Dic122C2311yescharacteristic
304#14519742—21no—
305#14519742C2311yescharacteristic
306C4×D244—21no—
307C4×D244C2311yescharacteristic
308C4×D244C2311yescharacteristic
309D4×Dic61—21no—
310D4×Dic61D411yescharacteristic
311D4×Dic61C2311yescharacteristic
312#14519739—21no—
313#14519739D411yescharacteristic
314#14519739C2311yescharacteristic
315C4×C22⋊D61—21no—
316C4×C22⋊D61—21no—
317C4×C22⋊D61—21no—
318C4×C22⋊D61C2311yescharacteristic
319C4×C22⋊D61C2311yescharacteristic
320#14519737—21no—
321#14519737—21no—
322#14519737—21no—
323#14519737D411yescharacteristic
324#14519737D411yescharacteristic
325#14519736—21no—
326#14519736C2311yescharacteristic
327#14519736C2311yescharacteristic
328#14519735—21no—
329#14519735—21no—
330#14519735C2311yescharacteristic
331#14519735C2311yescharacteristic
332#14519735C2311yescharacteristic
333#14519735C2311yescharacteristic
334#14519734—21no—
335#14519734—21no—
336#14519734—21no—
337#14519734—21no—
338#14519733—21no—
339#14519733—21no—
340#14519733—21no—
341#14519733—21no—
342C2×C4⋊Dic61C2311yescharacteristic
343C2×C4⋊Dic61C2311yescharacteristic
344C2×#11758196—21no—
345C2×#11758196—21no—
346C4⋊C4×D61—21no—
347C4⋊C4×D61—21no—
348C4⋊C4×D61—21no—
349C4⋊C4×D61—21no—
350C4⋊C4×D61—21no—
351C4⋊C4×D61—21no—
352C4⋊C4×D61—21no—
353C4⋊C4×D61—21no—
354C4⋊C4×D61—21no—
355C4⋊C4×D61—21no—
356C4⋊C4×D61—21no—
357C4⋊C4×D61D411yescharacteristic
358C4⋊C4×D61C2311yescharacteristic
359C4⋊C4×D61C2311yescharacteristic
360C4⋊C4×D61C2311yescharacteristic
361C4⋊C4×D61C2311yescharacteristic
362C4⋊C4×D61C2311yescharacteristic
363C4⋊C4×D61C2311yescharacteristic
364C4⋊C4×D61C2311yescharacteristic
365C4⋊C4×D61C2311yescharacteristic
366C4⋊C4×D61C2311yescharacteristic
367C4⋊C4×D61C2311yescharacteristic
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61D411yescharacteristic
376C22⋊C4×D61D411yescharacteristic
377C42×D61—21no—
378C42×D61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519708C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519708C2311yescharacteristic
406#14519708C2311yescharacteristic
407#14519708C2311yescharacteristic
408C4⋊#92418C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519706C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61—21no—
444#125×C61C2311yescharacteristic
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×D4×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C23×D61C2×D411yescharacteristic
483C23×D61C2×D411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2×D411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C22×C4×C61—21no—
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61C2411yescharacteristic
493C22×C4×C61C2411yescharacteristic
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61C2×D411yescharacteristic
500C2×C22⋊D61C2×D411yescharacteristic
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61C2×D411yescharacteristic
505C22×Dic61C2×D411yescharacteristic
506Q8×D61—22no—
507Q8×D61—22no—
508D4×D61—24no—
509D4×D61—22no—
510D4×D61—22no—
511D4×D61—44no—
512D4×D61—82no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244C2×D411yescharacteristic
516C2×D244C2411yescharacteristic
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—21no—
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—44no—
535C2×C4×D61—82no—
536C2×C4×D61—82no—
537C2×C4×D61C2×D411yescharacteristic
538C2×C4×D61C2×D411yescharacteristic
539C2×C4×D61C2×D411yescharacteristic
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2411yescharacteristic
544C2×C4×D61C2411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×Dic122—21no—
547C2×Dic122C2411yescharacteristic
548SD16×C61—22no—
549C2×C8×C61—22no—
550C2×C8×C61—22no—
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61C2×D411yescharacteristic
579C22⋊C4×C61C2×D411yescharacteristic
580C42×C61—21no—
581C42×C61—21no—
582C42×C61—21no—
583C42×C61C2411yescharacteristic
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593#11758201—22no—
594#11758200—22no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61C2×D411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C2×#92418—22no—
668C2×#92418—22no—
669C2×#92418C2411yescharacteristic
670C2×#92418C2411yescharacteristic
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673#11758190—22no—
674C8×D61—22no—
675C8×D61—22no—
676C8×D61—22no—
677C8×D61—22no—
678C8×D61—22no—
679C8×D61—22no—
680C8×D61—22no—
681C8×D61#4114yes—
682C23×C61—21no—
683C23×C61C22×D411yescharacteristic
684C23×C61C22×D411yescharacteristic
685C22×D61—22no—
686C22×D61—22no—
687C22×D61—22no—
688C22×D61—22no—
689C22×D61—22no—
690C22×D61—21no—
691C22×D61—42no—
692C22×D61—42no—
693C22×D61—42no—
694C22×D61#13514yes—
695C22×D61C22×D411yescharacteristic
696C22×D61C22×D411yescharacteristic
697C22×D61C22×D411yescharacteristic
698Q8×C61—21no—
699Q8×C61—21no—
700D4×C61—22no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—42no—
704D4×C61—81no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—42no—
717C2×C4×C61—81no—
718C2×C4×C61—81no—
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C2511yescharacteristic
724C22⋊D61—22no—
725C22⋊D61—22no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C2×Dic61—22no—
732C2×Dic61—22no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—42no—
741C2×Dic61—81no—
742C2×Dic61—81no—
743C2×Dic61C22×D411yescharacteristic
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748D244—22no—
749D244—21no—
750D244—21no—
751D244—42no—
752D244—81no—
753C4×D61—22no—
754C4×D61—22no—
755C4×D61—22no—
756C4×D61—22no—
757C4×D61—21no—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—22no—
762C4×D61—22no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—42no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776C4×D61C2×#4112yes—
777C4×D612−1+412yes—
778Dic122—21no—
779Dic122—21no—
780Dic122—42no—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61C2×#4112yes—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789C2×#3337—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61C2×#13512yes—
799C22×C61C23×D411yescharacteristic
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—28no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—44no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—84no—
811C2×D61#54712yes—
812C2×D61C2×#13512yes—
813C2×D61C2×#13512yes—
814C2×D61#57712yes—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—21no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61C22×#4111yescharacteristic
827C4×C61C2×2−1+411yescharacteristic
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—21no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839Dic61#54712yes—
840C2×#553—611no—
841C2×#552—611no—
842#3337—611no—
843#3337—611no—
844#3337—611no—
845#3337—611no—
846#3337—611no—
847#3337—611no—
848#3337—611no—
849#3337—611no—
850#3337—611no—
851#3337—611no—
852#3337—611no—
853#3337—611no—
854#3337—611no—
855#3337—611no—
856#3337—611no—
857#3337D6111yescharacteristic, direct product factor
858C2×#499—611no—
859C2×#484—611no—
860C2×#485—611no—
861C2×#482—611no—
862C2×#480—611no—
863C2×#479—611no—
864C2×#478—611no—
865C2×#465—611no—
866C2×#465—611no—
867C2×C4×SD16—611no—
868C2×C8×D4—611no—
869C2×#427—611no—
870C22×#106—611no—
871C2×C61—22no—
872C2×C61—41no—
873C2×C61—81no—
874C2×C61C2×#54711yescharacteristic
875C2×C61C22×#13511yescharacteristic
876C2×C61C2×#57711yescharacteristic
877D61—22no—
878D61—41no—
879D61—81no—
880D61#333714yesdirect product factor
881C22×SD16—611no—
882C23×C8—611no—
883C23×C8—611no—
884#553—611no—
885#553—611no—
886#553—611no—
887#553—611no—
888#553—611no—
889#553—611no—
890#553—611no—
891#553—1221no—
892#553—1221no—
893#553—1221no—
894#553—1221no—
895#553C2×D6111yescharacteristic
896#552—611no—
897#552—611no—
898#552—611no—
899#552—611no—
900#552—611no—
901#552—611no—
902#552—611no—
903#552—1221no—
904#552—1221no—
905#552—1221no—
906#552—1221no—
907#552C2×D6111yescharacteristic, complemented
908C2×#126—1221no—
909C2×#126—1221no—
910C2×#125—611no—
911C2×#125—611no—
912C2×#125—1221no—
913C2×#123—1221no—
914C2×#123—1221no—
915C2×C22⋊Q8—611no—
916C2×C22⋊Q8—611no—
917C2×#121—611no—
918C2×#121—611no—
919C2×#121—1221no—
920C2×C4×Q8—611no—
921C2×C4×D4—611no—
922C2×C4×D4—611no—
923C2×C4×D4—1221no—
924C2×#117—611no—
925C2×#117—611no—
926C2×#117—1221no—
927C22×C4⋊C4—611no—
928C22×C4⋊C4—611no—
929#499—611no—
930#499—611no—
931#499—611no—
932#499—611no—
933#499—611no—
934#499—611no—
935#499—611no—
936#499C2×D6111yescharacteristic, complemented
937#485—611no—
938#485—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#485—611no—
944#485C2×D6111yescharacteristic, complemented
945#484—611no—
946#484—611no—
947#484—611no—
948#484—611no—
949#484—611no—
950#484—611no—
951#484—611no—
952#484C2×D6111yescharacteristic, complemented
953#482—611no—
954#482—611no—
955#482—611no—
956#482—611no—
957#482—611no—
958#482—611no—
959#482—611no—
960#482C2×D6111yescharacteristic, complemented
961#480—611no—
962#480—611no—
963#480—611no—
964#480—611no—
965#480—611no—
966#480—611no—
967#480—611no—
968#480C2×D6111yescharacteristic, complemented
969#479—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#479—611no—
974#479—611no—
975#479—611no—
976#479C2×D6111yescharacteristic, complemented
977#478—611no—
978#478—611no—
979#478—611no—
980#478—611no—
981#478—611no—
982#478—611no—
983#478—611no—
984#478C2×D6111yescharacteristic, complemented
985#465—611no—
986#465—611no—
987#465—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#465—611no—
993#465—611no—
994#465—611no—
995#465—611no—
996#465—611no—
997#465—611no—
998#465—611no—
999#465C2×D6111yescharacteristic, complemented
1000#465C2×D6111yescharacteristic, complemented
1001C4×SD16—611no—
1002C4×SD16—611no—
1003C4×SD16—611no—
1004C4×SD16—611no—
1005C4×SD16—611no—
1006C4×SD16—611no—
1007C4×SD16—611no—
1008C4×SD16C2×D6111yescharacteristic, complemented
1009C8×D4—611no—
1010C8×D4—611no—
1011C8×D4—611no—
1012C8×D4—611no—
1013C8×D4—611no—
1014C8×D4—611no—
1015C8×D4—611no—
1016C8×D4C2×D6111yescharacteristic, complemented
1017#427—611no—
1018#427—611no—
1019#427—611no—
1020#427—611no—
1021#427—611no—
1022#427—611no—
1023#427—611no—
1024#427C2×D6111yescharacteristic, complemented
1025C2×#107—611no—
1026C2×#107—611no—
1027C2×#107—611no—
1028C2×#107—611no—
1029C2×#106—611no—
1030C2×#106—611no—
1031C2×#106—611no—
1032C2×#106—611no—
1033C2×#106—611no—
1034C2×#106—611no—
1035C2×#106—611no—
1036C2×#106—611no—
1037C2×#106—611no—
1038C2×#106—611no—
1039C2×#106—611no—
1040C2×#106—611no—
1041C2×#106C2×D6111yescharacteristic, complemented
1042C2×C4⋊C8—611no—
1043C2×#103—611no—
1044C2×#103—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047C2×#102—611no—
1048C2×#102—611no—
1049C2×C22⋊C8—611no—
1050C2×C22⋊C8—611no—
1051C2×C4×C8—611no—
1052C61C2×#333711yescharacteristic, complemented, Sylow
1053C22×Q8—611no—
1054C22×D4—611no—
1055C22×D4—611no—
1056C22×D4—1221no—
1057C22×D4—1221no—
1058C23×C4—611no—
1059C23×C4—611no—
1060C23×C4—1221no—
1061C23×C4—1221no—
1062C23×C4—1221no—
1063C2×SD16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—1224no—
1067C2×SD16C22×D6111yescharacteristic
1068C22×C8—611no—
1069C22×C8—611no—
1070C22×C8—611no—
1071C22×C8—611no—
1072C22×C8—611no—
1073C22×C8—611no—
1074C22×C8—611no—
1075C22×C8—611no—
1076C22×C8—611no—
1077C22×C8—611no—
1078C22×C8—1224no—
1079C22×C8—1224no—
1080C22×C8C22×D6111yescharacteristic
1081C22×C8C22×D6111yescharacteristic
1082#126—21no—
1083#126—21no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#125—21no—
1099#125—611no—
1100#125—611no—
1101#125—611no—
1102#125—611no—
1103#125—611no—
1104#125—611no—
1105#125—1221no—
1106#125—1221no—
1107#125—1221no—
1108#125—1221no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#125—1221no—
1116#125C22×D6111yescharacteristic
1117#125C22×D6111yescharacteristic
1118#123—21no—
1119#123—21no—
1120#123—1221no—
1121#123—1221no—
1122#123—1221no—
1123#123—1221no—
1124#123—1221no—
1125#123—1221no—
1126#123—1221no—
1127#123—1221no—
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134C22⋊Q8—611no—
1135C22⋊Q8—611no—
1136C22⋊Q8—611no—
1137C22⋊Q8—611no—
1138C22⋊Q8—611no—
1139C22⋊Q8—611no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8C22×D6111yescharacteristic
1145C22⋊Q8C22×D6111yescharacteristic
1146#121—21no—
1147#121—611no—
1148#121—611no—
1149#121—611no—
1150#121—611no—
1151#121—611no—
1152#121—611no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121C22×D6111yescharacteristic
1165#121C22×D6111yescharacteristic
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—1221no—
1170C4×Q8—1221no—
1171C4×Q8C22×D6111yescharacteristic
1172C4×D4—21no—
1173C4×D4—611no—
1174C4×D4—611no—
1175C4×D4—611no—
1176C4×D4—611no—
1177C4×D4—611no—
1178C4×D4—611no—
1179C4×D4—611no—
1180C4×D4—611no—
1181C4×D4—611no—
1182C4×D4—611no—
1183C4×D4—1221no—
1184C4×D4—1221no—
1185C4×D4—1221no—
1186C4×D4—1221no—
1187C4×D4—1221no—
1188C4×D4—1221no—
1189C4×D4—1221no—
1190C4×D4—1221no—
1191C4×D4—1221no—
1192C4×D4C22×D6111yescharacteristic
1193C4×D4C22×D6111yescharacteristic
1194#117—21no—
1195#117—611no—
1196#117—611no—
1197#117—611no—
1198#117—611no—
1199#117—611no—
1200#117—611no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117—1221no—
1205#117—1221no—
1206#117—1221no—
1207#117—1221no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117C22×D6111yescharacteristic
1213#117C22×D6111yescharacteristic
1214C2×C4⋊C4—611no—
1215C2×C4⋊C4—611no—
1216C2×C4⋊C4—611no—
1217C2×C4⋊C4—611no—
1218C2×C4⋊C4—611no—
1219C2×C4⋊C4—611no—
1220C2×C4⋊C4—611no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C4⋊C4—1221no—
1232C2×C4⋊C4—1221no—
1233C2×C4⋊C4—1221no—
1234C2×C4⋊C4—1221no—
1235C2×C4⋊C4—1221no—
1236C2×C4⋊C4—1221no—
1237C2×C4⋊C4—1221no—
1238C2×C4⋊C4—1221no—
1239C2×C4⋊C4—1221no—
1240C2×C4⋊C4C22×D6111yescharacteristic
1241C2×C4⋊C4C22×D6111yescharacteristic
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—1221no—
1245C2×C22⋊C4—1221no—
1246C2×C22⋊C4—1221no—
1247C2×C22⋊C4—1221no—
1248C2×C22⋊C4—1221no—
1249C2×C22⋊C4—1221no—
1250C2×C22⋊C4—1221no—
1251C2×C42—611no—
1252C2×C42—1221no—
1253C2×C42—1221no—
1254C2×C42—1221no—
1255#107—611no—
1256#107—611no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#107C22×D6111yescharacteristic
1268#107C22×D6111yescharacteristic
1269#107C22×D6111yescharacteristic
1270#107C22×D6111yescharacteristic
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106—611no—
1275#106—611no—
1276#106—611no—
1277#106—611no—
1278#106—611no—
1279#106—611no—
1280#106—611no—
1281#106—611no—
1282#106—611no—
1283#106—611no—
1284#106—611no—
1285#106—611no—
1286#106C22×D6111yescharacteristic
1287#106C22×D6111yescharacteristic
1288#106C22×D6111yescharacteristic
1289#106C22×D6111yescharacteristic
1290#106C22×D6111yescharacteristic
1291C4⋊C8—611no—
1292C4⋊C8—611no—
1293C4⋊C8—611no—
1294C4⋊C8C22×D6111yescharacteristic
1295#103—611no—
1296#103—611no—
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
1302#103—611no—
1303#103—611no—
1304#103C22×D6111yescharacteristic
1305#103C22×D6111yescharacteristic
1306#103C22×D6111yescharacteristic
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102—611no—
1311#102—611no—
1312#102—611no—
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102C22×D6111yescharacteristic
1317#102C22×D6111yescharacteristic
1318#102C22×D6111yescharacteristic
1319C22⋊C8—611no—
1320C22⋊C8—611no—
1321C22⋊C8—611no—
1322C22⋊C8—611no—
1323C22⋊C8—611no—
1324C22⋊C8—611no—
1325C22⋊C8C22×D6111yescharacteristic
1326C22⋊C8C22×D6111yescharacteristic
1327C4×C8—611no—
1328C4×C8—611no—
1329C4×C8—611no—
1330C4×C8C22×D6111yescharacteristic
1331C24—611no—
1332C24—611no—
1333C24—1221no—
1334C2×Q8—611no—
1335C2×Q8—1221no—
1336C2×Q8—1222no—
1337C2×Q8—1222no—
1338C2×Q8C23×D6111yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—611no—
1342C2×D4—611no—
1343C2×D4—611no—
1344C2×D4—611no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1221no—
1350C2×D4—1224no—
1351C2×D4—1221no—
1352C2×D4—1221no—
1353C2×D4—1221no—
1354C2×D4—1221no—
1355C2×D4—4882no—
1356C2×D4—2444no—
1357C2×D4D4×D6111yescharacteristic
1358C2×D4C23×D6111yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—611no—
1363C22×C4—611no—
1364C22×C4—611no—
1365C22×C4—611no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—1222no—
1374C22×C4—1222no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4—4882no—
1394C22×C4—4882no—
1395C22×C4—2444no—
1396C22×C4C23×D6111yescharacteristic
1397C22×C4C23×D6111yescharacteristic
1398SD16—22no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—1222no—
1402C2×C8—22no—
1403C2×C8—22no—
1404C2×C8—611no—
1405C2×C8—614no—
1406C2×C8—611no—
1407C2×C8—611no—
1408C2×C8—611no—
1409C2×C8—1222no—
1410C2×C8—1222no—
1411C2×C8—1222no—
1412C2×C8—1222no—
1413C2×C8—1222no—
1414C2×C8—1222no—
1415C2×C8—1222no—
1416C2×C8—1222no—
1417C2×C8—1222no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4D4×D6111yescharacteristic
1474C4⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C4⋊C4C23×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C4⋊C4C23×D6111yescharacteristic
1479C4⋊C4C23×D6111yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—611no—
1492C22⋊C4—611no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4D4×D6111yescharacteristic
1515C22⋊C4D4×D6111yescharacteristic
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42C23×D6111yescharacteristic
1532C23—21no—
1533C23—611no—
1534C23—614no—
1535C23—611no—
1536C23—611no—
1537C23—1222no—
1538C23—1222no—
1539C23—1222no—
1540C23—1222no—
1541C23—1222no—
1542C23—1221no—
1543C23—2442no—
1544C23—2442no—
1545C23—2442no—
1546C23C2×D4×D6111yescharacteristic
1547C23C2×D4×D6111yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—2442no—
1553D4—22no—
1554D4—21no—
1555D4—21no—
1556D4—42no—
1557D4—81no—
1558D4—1222no—
1559D4—1222no—
1560D4—1222no—
1561D4—1221no—
1562D4—1221no—
1563D4—4881no—
1564D4—4881no—
1565D4—4881no—
1566D4—2442no—
1567D4—2442no—
1568D4—2442no—
1569D4—2442no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—611no—
1585C2×C4—612no—
1586C2×C4—612no—
1587C2×C4—611no—
1588C2×C4—611no—
1589C2×C4—611no—
1590C2×C4—611no—
1591C2×C4—1222no—
1592C2×C4—1222no—
1593C2×C4—1222no—
1594C2×C4—1222no—
1595C2×C4—1222no—
1596C2×C4—1222no—
1597C2×C4—1222no—
1598C2×C4—1222no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—2442no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4—2442no—
1624C2×C4—2442no—
1625C2×C4—2442no—
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C2×D4×D6111yescharacteristic
1629C2×C4C2×D4×D6111yescharacteristic
1630C2×C4C24×D6111yescharacteristic
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—612no—
1635C8—1221no—
1636C8—1221no—
1637C8—1221no—
1638C8#41×D6112yes—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—612no—
1648C22—612no—
1649C22—612no—
1650C22—612no—
1651C22—1228no—
1652C22—1221no—
1653C22—1221no—
1654C22—1221no—
1655C22—1221no—
1656C22—1221no—
1657C22—4884no—
1658C22—2444no—
1659C22—2441no—
1660C22—2441no—
1661C22—2441no—
1662C22#135×D6112yes—
1663C22C22×D4×D6111yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—612no—
1676C4—1221no—
1677C4—1221no—
1678C4—1221no—
1679C4—1221no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4—2441no—
1684C4—2441no—
1685C4—2441no—
1686C4—2441no—
1687C4C2×#41×D6111yescharacteristic
1688C42−1+4×D6111yescharacteristic
1689C2—22no—
1690C2—41no—
1691C2—81no—
1692C2—614no—
1693C2—1222no—
1694C2—4881no—
1695C2—2441no—
1696C2#547×D6111yescharacteristic
1697C2C2×#135×D6111yescharacteristic
1698C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3337C2
socleC22×C61C23×D4
prime radical#553×D61C2
hypercenter#3337D61
hypocenterC61C2×#3337
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3337

Complements

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

NH ≅ G/Ntype
2. #552×D61C2semidirect
3. #21458205C2semidirect
4. #21458204C2semidirect
5. #21458203C2semidirect
6. #21458202C2semidirect
7. #21458201C2semidirect
8. #21458200C2semidirect
9. #21458199C2semidirect
10. #21458198C2semidirect
11. #21458197C2semidirect
12. #21458196C2semidirect
13. #21458195C2semidirect
14. #21458194C2semidirect
15. #21458193C2semidirect
16. #21458192C2semidirect
17. #21458191C2semidirect
18. #499×D61C2semidirect
19. #484×D61C2semidirect
20. #485×D61C2semidirect
21. #482×D61C2semidirect
22. #480×D61C2semidirect
23. #479×D61C2semidirect
24. #478×D61C2semidirect
25. #465×D61C2semidirect
26. #465×D61C2semidirect
27. C4×SD16×D61C2semidirect
28. C8×D4×D61C2semidirect
29. #427×D61C2semidirect
30. C2×#106×D61C2semidirect
31. C61×#3337C2semidirect
46. #16840454C22semidirect
47. #16840453C22semidirect
48. #16840452C22semidirect
49. #16840451C22semidirect
50. #16840450C22semidirect
53. #16840447C22semidirect
54. #16840446C22semidirect
78. #16840164C22semidirect
79. #16840163C22semidirect
80. #16840163C22semidirect
81. #16840162C22semidirect
82. #16840162C22semidirect
83. #16840161C22semidirect
84. #16840161C22semidirect
85. #16840106C22semidirect
86. #16840105C22semidirect
87. #16840104C22semidirect
88. #16840103C22semidirect
89. #16840102C22semidirect
90. #16840101C22semidirect
91. #16840100C22semidirect
92. #16840099C22semidirect
93. #16840099C22semidirect
94. #16840098C22semidirect
95. #16840097C22semidirect
96. #16840096C22semidirect
97. #16840096C22semidirect
98. #16840095C22semidirect
99. #16840089C22semidirect
100. #16840088C22semidirect
101. #16840087C22semidirect
102. #16840086C22semidirect
103. #16840085C22semidirect
104. #16840084C22semidirect
105. #16840083C22semidirect
106. #16840077C22semidirect
107. #16840077C22semidirect
108. #16840076C22semidirect
109. #16840075C22semidirect
110. #16840074C22semidirect
111. #16840074C22semidirect
112. #16840073C22semidirect
113. #16840072C22semidirect
114. #16840071C22semidirect
115. #16840070C22semidirect
116. #16840069C22semidirect
117. #16840068C22semidirect
118. #16840067C22semidirect
119. #16840066C22semidirect
120. #16840065C22semidirect
121. #16840064C22semidirect
122. #16840063C22semidirect
123. #16840062C22semidirect
124. #16840061C22semidirect
125. #16840060C22semidirect
126. #16840059C22semidirect
127. #16839994C22semidirect
128. #16839994C22semidirect
129. #16839993C22semidirect
130. #16839993C22semidirect
131. #16839992C22semidirect
132. #16839992C22semidirect
133. #16839991C22semidirect
134. #16839991C22semidirect
135. #16839990C22semidirect
136. #16839990C22semidirect
137. #16839989C22semidirect
138. #16839989C22semidirect
139. #16839988C22semidirect
140. #16839988C22semidirect
141. #16839853C22semidirect
142. C4×#11758190C22semidirect
143. SD16×Dic61C22semidirect
144. C4×#11758201C22semidirect
145. #16839849C22semidirect
146. C4×#11758200C22semidirect
147. #16839847C22semidirect
148. C8×D244C22semidirect
149. D4×#92418C22semidirect
150. #16839827C22semidirect
151. C8×C22⋊D61C22semidirect
152. C8×C22⋊D61C22semidirect
153. #16839825C22semidirect
154. #16839825C22semidirect
155. #16839800C22semidirect
156. #16839799C22semidirect
157. #16839799C22semidirect
158. #16839798C22semidirect
159. #16839798C22semidirect
160. #16839797C22semidirect
161. #16839797C22semidirect
166. C2×#14519709C22semidirect
167. C2×#14519708C22semidirect
168. C2×#14519708C22semidirect
174. #106×D61C22semidirect
175. #106×D61C22semidirect
176. #106×D61C22semidirect
177. #106×D61C22semidirect
189. C61×#552C22semidirect
190. C61×#499C22semidirect
191. C61×#485C22semidirect
192. C61×#484C22semidirect
193. C61×#482C22semidirect
194. C61×#480C22semidirect
195. C61×#479C22semidirect
196. C61×#478C22semidirect
197. C61×#465C22semidirect
198. C61×#465C22semidirect
199. C4×SD16×C61C22semidirect
200. C8×D4×C61C22semidirect
201. C61×#427C22semidirect
202. C2×#106×C61C22semidirect
857. #3337D61direct (N × H)
880. D61#3337direct (N × H)
907. #552C2×D61semidirect
936. #499C2×D61semidirect
944. #485C2×D61semidirect
952. #484C2×D61semidirect
960. #482C2×D61semidirect
968. #480C2×D61semidirect
976. #479C2×D61semidirect
984. #478C2×D61semidirect
999. #465C2×D61semidirect
1000. #465C2×D61semidirect
1008. C4×SD16C2×D61semidirect
1016. C8×D4C2×D61semidirect
1024. #427C2×D61semidirect
1041. C2×#106C2×D61semidirect
1052. C61C2×#3337semidirect

Maximal subgroups

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

subgroupindex
#553×D612
#552×D612
#214582052
#214582042
#214582032
#214582022
#214582012
#214582002
#214581992
#214581982
#214581972
#214581962
#214581952
#214581942
#214581932
#214581922
#214581912
#499×D612
#484×D612
#485×D612
#482×D612
#480×D612
#479×D612
#478×D612
#465×D612
C4×SD16×D612
C8×D4×D612
#427×D612
C2×#106×D612
C61×#33372
C2×#333761