Finite Group Databasebeta

← D61×#3120 #30548268

Subgroups — D61×#3120 #30548268

Order 15616.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#541×D61C211yesmaximal, characteristic, complemented
2#520×D61C211yesmaximal, characteristic
3#21456040C211yesmaximal, characteristic, complemented
4#21456039C211yesmaximal, characteristic, complemented
5#21456038C211yesmaximal, characteristic, complemented
6#21456037C211yesmaximal, characteristic, complemented
7#21456036C211yesmaximal, characteristic, complemented
8#21456035C211yesmaximal, characteristic, complemented
9#21456034C211yesmaximal, characteristic, complemented
10#21456033C211yesmaximal, characteristic, complemented
11#21456032C211yesmaximal, characteristic, complemented
12#21456031C211yesmaximal, characteristic, complemented
13#21456030C211yesmaximal, characteristic, complemented
14#21456029C211yesmaximal, characteristic, complemented
15#21456028C211yesmaximal, characteristic, complemented
16#21456027C211yesmaximal, characteristic, complemented
17#21456026C211yesmaximal, characteristic, complemented
18#484×D61C211yesmaximal, characteristic, complemented
19#483×D61C211yesmaximal, characteristic, complemented
20#479×D61C211yesmaximal, characteristic, complemented
21#478×D61C211yesmaximal, characteristic, complemented
22#462×D61C211yesmaximal, characteristic, complemented
23#461×D61C211yesmaximal, characteristic, complemented
24#452×D61C211yesmaximal, characteristic
25#452×D61C211yesmaximal, characteristic
26#441×D61C211yesmaximal, characteristic, complemented
27#440×D61C211yesmaximal, characteristic, complemented
28C4×Q16×D61C211yesmaximal, characteristic, complemented
29C4×SD16×D61C211yesmaximal, characteristic, complemented
30#433×D61C211yesmaximal, characteristic, complemented
31C61×#3120C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C2×Q16×D61C2211yescharacteristic
34C2×Q16×D61C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37#16840375C2211yescharacteristic, complemented
38#16840374C2211yescharacteristic, complemented
39#16840373C2211yescharacteristic, complemented
40#16840372C2211yescharacteristic, complemented
41#16840372C2211yescharacteristic, complemented
42#16840371—21no—
43#16840371—21no—
44#16840370C2211yescharacteristic, complemented
45#16840370C2211yescharacteristic, complemented
46#16840369—21no—
47#16840369—21no—
48C4⋊Q8×D61C2211yescharacteristic
49#126×D61—21no—
50#126×D61—21no—
51#125×D61—21no—
52#125×D61—21no—
53#125×D61C2211yescharacteristic
54C22⋊Q8×D61C2211yescharacteristic
55C22⋊Q8×D61C2211yescharacteristic
56#16840245C2211yescharacteristic
57#16840244C2211yescharacteristic
58#16840244C2211yescharacteristic
59#16840243—21no—
60#16840243C2211yescharacteristic
61#16840242—21no—
62#16840242C2211yescharacteristic
63#16840241—21no—
64#16840241—21no—
65#16840241C2211yescharacteristic
66#16840241C2211yescharacteristic
67C4×Q8×D61C2211yescharacteristic
68C4×Q8×D61C2211yescharacteristic
69C4×Q8×D61C2211yescharacteristic
70C4×Q8×D61C2211yescharacteristic
71C4×D4×D61—21no—
72C4×D4×D61—21no—
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic
75#117×D61—21no—
76#117×D61C2211yescharacteristic
77C2×C4⋊C4×D61—21no—
78C2×C4⋊C4×D61C2211yescharacteristic
79#16840099C2211yescharacteristic, complemented
80#16840099C2211yescharacteristic, complemented
81#16840098C2211yescharacteristic, complemented
82#16840097C2211yescharacteristic, complemented
83#16840096C2211yescharacteristic, complemented
84#16840096C2211yescharacteristic, complemented
85#16840095C2211yescharacteristic, complemented
86#16840094C2211yescharacteristic, complemented
87#16840094C2211yescharacteristic, complemented
88#16840093C2211yescharacteristic, complemented
89#16840092C2211yescharacteristic, complemented
90#16840091C2211yescharacteristic, complemented
91#16840091C2211yescharacteristic, complemented
92#16840090C2211yescharacteristic, complemented
93#16840072C2211yescharacteristic, complemented
94#16840071C2211yescharacteristic, complemented
95#16840070C2211yescharacteristic, complemented
96#16840069C2211yescharacteristic, complemented
97#16840068C2211yescharacteristic, complemented
98#16840067C2211yescharacteristic, complemented
99#16840066C2211yescharacteristic, complemented
100#16840065C2211yescharacteristic, complemented
101#16840064C2211yescharacteristic, complemented
102#16840063C2211yescharacteristic, complemented
103#16840062C2211yescharacteristic, complemented
104#16840061C2211yescharacteristic, complemented
105#16840060C2211yescharacteristic, complemented
106#16840059C2211yescharacteristic, complemented
107#16839973C2211yescharacteristic, complemented
108#16839972C2211yescharacteristic, complemented
109#16839971C2211yescharacteristic, complemented
110#16839971C2211yescharacteristic, complemented
111#16839970C2211yescharacteristic, complemented
112#16839970C2211yescharacteristic, complemented
113#16839969C2211yescharacteristic, complemented
114#16839968C2211yescharacteristic, complemented
115#16839967C2211yescharacteristic, complemented
116#16839966C2211yescharacteristic, complemented
117#16839966C2211yescharacteristic, complemented
118#16839965C2211yescharacteristic, complemented
119#16839965C2211yescharacteristic, complemented
120#16839964C2211yescharacteristic, complemented
121#16839927C2211yescharacteristic
122#16839927C2211yescharacteristic
123#16839926C2211yescharacteristic
124#16839926C2211yescharacteristic
125#16839925C2211yescharacteristic
126#16839925C2211yescharacteristic
127#16839924C2211yescharacteristic
128#16839924C2211yescharacteristic
129#16839923C2211yescharacteristic
130#16839923C2211yescharacteristic
131#16839922C2211yescharacteristic
132#16839922C2211yescharacteristic
133#16839921C2211yescharacteristic
134#16839921C2211yescharacteristic
135#16839870C2211yescharacteristic, complemented
136#16839869C2211yescharacteristic, complemented
137#16839868C2211yescharacteristic, complemented
138#16839867C2211yescharacteristic, complemented
139#16839867C2211yescharacteristic, complemented
140#16839866C2211yescharacteristic, complemented
141#16839866C2211yescharacteristic, complemented
142#16839865C2211yescharacteristic, complemented
143#16839864C2211yescharacteristic, complemented
144#16839863C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839861C2211yescharacteristic, complemented
147#16839860C2211yescharacteristic, complemented
148#16839859C2211yescharacteristic, complemented
149C4×Dic244C2211yescharacteristic, complemented
150Q16×Dic61C2211yescharacteristic, complemented
151#16839856C2211yescharacteristic, complemented
152C4×#11758202C2211yescharacteristic, complemented
153C4×#11758202C2211yescharacteristic, complemented
154#16839854C2211yescharacteristic, complemented
155#16839854C2211yescharacteristic, complemented
156#16839853C2211yescharacteristic, complemented
157C4×#11758190C2211yescharacteristic, complemented
158SD16×Dic61C2211yescharacteristic, complemented
159C4×#11758201C2211yescharacteristic, complemented
160#16839849C2211yescharacteristic, complemented
161C4×#11758200C2211yescharacteristic, complemented
162#16839847C2211yescharacteristic, complemented
163#16839824C2211yescharacteristic, complemented
164#16839823C2211yescharacteristic, complemented
165#16839822C2211yescharacteristic, complemented
166#16839822C2211yescharacteristic, complemented
167#16839821C2211yescharacteristic, complemented
168#16839820C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#107×D61C2211yescharacteristic
171#107×D61C2211yescharacteristic
172#106×D61C2211yescharacteristic
173#106×D61C2211yescharacteristic
174C4⋊C8×D61C2211yescharacteristic
175C4⋊C8×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#103×D61C2211yescharacteristic
178#103×D61C2211yescharacteristic
179#103×D61C2211yescharacteristic
180#103×D61C2211yescharacteristic
181#103×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184C22⋊C8×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186#97×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic
188C61×#541C2211yescharacteristic, complemented
189C61×#520C2211yescharacteristic
190C61×#484C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic, complemented
192C61×#479C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#462C2211yescharacteristic, complemented
195C61×#461C2211yescharacteristic, complemented
196C61×#452C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#441C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×Q16×C61C2211yescharacteristic, complemented
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208#41×D61—24no—
209#41×D61—24no—
210C2×Q8×D61C2311yescharacteristic
211C2×Q8×D61C2311yescharacteristic
212C2×Q8×D61C2311yescharacteristic
213C2×D4×D61—21no—
214C2×D4×D61C2311yescharacteristic
215C22×C4×D61—21no—
216C22×C4×D61—21no—
217C22×C4×D61—21no—
218C22×C4×D61—21no—
219C22×C4×D61C2311yescharacteristic
220C2×Dic244C2311yescharacteristic
221C2×Dic244C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758202C2311yescharacteristic
225C2×#11758202C2311yescharacteristic
226Q16×D61—24no—
227Q16×D61—24no—
228C2×#11758190C2311yescharacteristic
229C2×#11758190C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234SD16×D61—24no—
235SD16×D61—24no—
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239C2×C8×D61C2311yescharacteristic
240#14519777C2311yescharacteristic
241#14519776—21no—
242#14519776—21no—
243#14519775C2311yescharacteristic
244#14519775C2311yescharacteristic
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519771—21no—
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519769—21no—
260#14519769—21no—
261#14519769C2311yescharacteristic
262#14519768—21no—
263#14519768—21no—
264#14519768—21no—
265#14519768—21no—
266#14519768C2311yescharacteristic
267#14519768C2311yescharacteristic
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767—21no—
276#14519767—21no—
277#14519767—21no—
278#14519757C2311yescharacteristic
279#14519757C2311yescharacteristic
280#14519756C2311yescharacteristic
281#14519756C2311yescharacteristic
282#14519755—21no—
283#14519755—21no—
284#14519754—21no—
285#14519754—21no—
286#14519753C2311yescharacteristic
287#14519753C2311yescharacteristic
288Q8×Dic61C2311yescharacteristic
289Q8×Dic61C2311yescharacteristic
290Q8×Dic61C2311yescharacteristic
291Q8×Dic61C2311yescharacteristic
292C4×Dic122—21no—
293C4×Dic122—21no—
294C4×Dic122—21no—
295C4×Dic122—21no—
296C4×Dic122C2311yescharacteristic
297C4×Dic122C2311yescharacteristic
298C4×Dic122C2311yescharacteristic
299C4×Dic122C2311yescharacteristic
300#14519742—21no—
301#14519742—21no—
302#14519742—21no—
303#14519742—21no—
304#14519742C2311yescharacteristic
305#14519742C2311yescharacteristic
306#14519742C2311yescharacteristic
307#14519742C2311yescharacteristic
308C4×D244—21no—
309C4×D244—21no—
310C4×D244C2311yescharacteristic
311C4×D244C2311yescharacteristic
312D4×Dic61—21no—
313D4×Dic61—21no—
314D4×Dic61C2311yescharacteristic
315D4×Dic61C2311yescharacteristic
316#14519739—21no—
317#14519739—21no—
318#14519739C2311yescharacteristic
319#14519739C2311yescharacteristic
320C4×C22⋊D61—21no—
321C4×C22⋊D61—21no—
322C4×C22⋊D61—21no—
323C4×C22⋊D61—21no—
324C4×C22⋊D61—21no—
325C4×C22⋊D61—21no—
326#14519737—21no—
327#14519737—21no—
328#14519737—21no—
329#14519737—21no—
330#14519737—21no—
331#14519737—21no—
332#14519736—21no—
333#14519736C2311yescharacteristic
334#14519735—21no—
335#14519735—21no—
336#14519735D411yescharacteristic
337#14519735D411yescharacteristic
338#14519734—21no—
339#14519734—21no—
340#14519734C2311yescharacteristic
341#14519734C2311yescharacteristic
342#14519733—21no—
343#14519733—21no—
344#14519733D411yescharacteristic
345#14519733D411yescharacteristic
346C2×C4⋊Dic61—21no—
347C2×C4⋊Dic61C2311yescharacteristic
348C2×#11758196—21no—
349C2×#11758196—21no—
350C2×#11758196—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×D61—21no—
358C4⋊C4×D61—21no—
359C4⋊C4×D61—21no—
360C4⋊C4×D61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61D411yescharacteristic
368C4⋊C4×D61D411yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C4⋊C4×D61C2311yescharacteristic
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61D411yescharacteristic
380C22⋊C4×D61D411yescharacteristic
381C42×D61—21no—
382C42×D61—21no—
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386C42×D61C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519708C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400C4⋊#92418C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438C4×#92418C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×Q16×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic
447#126×C61—21no—
448#126×C61—21no—
449#125×C61—21no—
450#125×C61—21no—
451#125×C61C2311yescharacteristic
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×D4×C61—21no—
459C4×D4×C61—21no—
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462#117×C61—21no—
463#117×C61C2311yescharacteristic
464C2×C4⋊C4×C61—21no—
465C2×C4⋊C4×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61C2×D411yescharacteristic
486#41×C61—22no—
487#41×C61—22no—
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61C2×D411yescharacteristic
506#11758226—22no—
507#11758226—22no—
508Q8×D61—22no—
509Q8×D61—22no—
510Q8×D61—22no—
511Q8×D61—22no—
512Q8×D61—22no—
513Q8×D61#4114yes—
514#11758224—28no—
515#11758224—22no—
516#11758224—22no—
517D4×D61—28no—
518D4×D61—22no—
519D4×D61#4114yes—
520#11758222—28no—
521#11758222—22no—
522#11758222—22no—
523C2×D244—21no—
524C2×D244C2411yescharacteristic
525C2×C4×D61—28no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—22no—
530C2×C4×D61—22no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—82no—
544C2×C4×D61—82no—
545C2×C4×D61—82no—
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2×D411yescharacteristic
548C2×C4×D61C2×D411yescharacteristic
549C2×C4×D61C2×D411yescharacteristic
550C2×C4×D61C2×D411yescharacteristic
551C2×C4×D61C2×D411yescharacteristic
552C2×C4×D61C2411yescharacteristic
553C2×C4×D61C2411yescharacteristic
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122C2411yescharacteristic
558C2×Dic122C2411yescharacteristic
559C2×Dic122C2411yescharacteristic
560Q16×C61—22no—
561Q16×C61—22no—
562SD16×C61—22no—
563SD16×C61—22no—
564C2×C8×C61C2411yescharacteristic
565C2×C8×C61C2411yescharacteristic
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61—21no—
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2×D411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61C2×D411yescharacteristic
590C22⋊C4×C61C2×D411yescharacteristic
591C42×C61—21no—
592C42×C61—21no—
593C42×C61—21no—
594C42×C61—21no—
595C42×C61C2411yescharacteristic
596C42×C61C2411yescharacteristic
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61C2×D411yescharacteristic
602C22⋊Dic61C2×D411yescharacteristic
603#11758202—22no—
604#11758202—22no—
605#11758202—22no—
606#11758202—22no—
607#11758201—22no—
608#11758201—22no—
609#11758200—22no—
610#11758200—22no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
634C4⋊Dic61C2×D411yescharacteristic
635C4⋊Dic61C2×D411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
638C4⋊Dic61C2411yescharacteristic
639C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
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#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692Dic244—22no—
693Dic244—22no—
694#11758190—22no—
695#11758190—22no—
696C8×D61—22no—
697C8×D61—22no—
698C8×D61—22no—
699C8×D61—22no—
700C23×C61—21no—
701C23×C61C22×D411yescharacteristic
702C22×D61—21no—
703C22×D61—22no—
704C22×D61—24no—
705C22×D61—22no—
706C22×D61—22no—
707C22×D61—42no—
708C22×D61—42no—
709C22×D61C22×D411yescharacteristic
710C22×D61C22×D411yescharacteristic
711Q8×C61—21no—
712Q8×C61—21no—
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61C2×#4112yes—
717D4×C61—24no—
718D4×C61—21no—
719D4×C61C2×#4112yes—
720C2×C4×C61—24no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—81no—
731C2×C4×C61—81no—
732C2×C4×C61—81no—
733C2×C4×C61C22×D411yescharacteristic
734C2×C4×C61C22×D411yescharacteristic
735C2×C4×C61C22×D411yescharacteristic
736C2×C4×C61C22×D411yescharacteristic
737C2×C4×C61C22×D411yescharacteristic
738C2×C4×C61C2511yescharacteristic
739C22⋊D61—24no—
740C22⋊D61—24no—
741C22⋊D61—24no—
742C2×Dic61—24no—
743C2×Dic61—21no—
744C2×Dic61—22no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—81no—
752C2×Dic61—81no—
753C2×Dic61—81no—
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760D244—24no—
761D244—21no—
762D244C2×#4112yes—
763C4×D61—24no—
764C4×D61—24no—
765C4×D61—22no—
766C4×D61—24no—
767C4×D61—22no—
768C4×D61—22no—
769C4×D61—22no—
770C4×D61—22no—
771C4×D61—21no—
772C4×D61—21no—
773C4×D61—22no—
774C4×D61—42no—
775C4×D61—42no—
776C4×D61—42no—
777C4×D61—42no—
778C4×D61—42no—
779C4×D61—42no—
780C4×D61—81no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61—81no—
784C4×D61—81no—
785C4×D61—81no—
786C4×D61C2×#4112yes—
787C4×D61C2×#4112yes—
788Dic122—21no—
789Dic122—24no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—42no—
795Dic122—42no—
796Dic122C2×#4112yes—
797C8×C61—21no—
798C8×C61—21no—
799C8×C61—21no—
800C8×C61—21no—
801#92418—21no—
802#92418—21no—
803#92418—21no—
804#92418—21no—
805C2×#3120—611nomaximal, Sylow
806C22×C61—21no—
807C22×C61—22no—
808C22×C61—21no—
809C22×C61—21no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61C23×D411yescharacteristic
813C2×D61—21no—
814C2×D61—22no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—44no—
820C2×D61—48no—
821C2×D61#52512yes—
822C2×D61#57712yes—
823C2×D61#57812yes—
824C4×C61—22no—
825C4×C61—21no—
826C4×C61—21no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61C22×#4111yescharacteristic
837C4×C61C22×#4111yescharacteristic
838Dic61—22no—
839Dic61—21no—
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61#52512yes—
851C2×#541—611no—
852C2×#520—611no—
853#3120—611no—
854#3120—611no—
855#3120—611no—
856#3120—611no—
857#3120—611no—
858#3120—611no—
859#3120—611no—
860#3120—611no—
861#3120—611no—
862#3120—611no—
863#3120—611no—
864#3120—611no—
865#3120—611no—
866#3120—611no—
867#3120—611no—
868#3120D6111yescharacteristic, direct product factor
869C2×#484—611no—
870C2×#483—611no—
871C2×#479—611no—
872C2×#478—611no—
873C2×#462—611no—
874C2×#461—611no—
875C2×#452—611no—
876C2×#452—611no—
877C2×#441—611no—
878C2×#440—611no—
879C2×C4×Q16—611no—
880C2×C4×SD16—611no—
881C2×#433—611no—
882C2×C61—41no—
883C2×C61—42no—
884C2×C61C2×#52511yescharacteristic
885C2×C61C2×#57711yescharacteristic
886C2×C61C2×#57811yescharacteristic
887D61—41no—
888D61—42no—
889D61#312014yesdirect product factor
890C22×#41—611no—
891C22×Q16—611no—
892C22×Q16—611no—
893C22×SD16—611no—
894C22×SD16—611no—
895#541—611no—
896#541—611no—
897#541—611no—
898#541—611no—
899#541—611no—
900#541—611no—
901#541—611no—
902#541—1221no—
903#541—1221no—
904#541—1221no—
905#541—1221no—
906#541C2×D6111yescharacteristic, complemented
907C2×C4⋊Q8—611no—
908C2×#126—1221no—
909C2×#126—1221no—
910C2×#125—611no—
911C2×#125—1221no—
912C2×#125—1221no—
913C2×C22⋊Q8—611no—
914C2×C22⋊Q8—611no—
915#520—611no—
916#520—611no—
917#520—611no—
918#520—611no—
919#520—611no—
920#520—611no—
921#520—611no—
922#520—1221no—
923#520—1221no—
924#520—1221no—
925#520—1221no—
926#520C2×D6111yescharacteristic
927C2×C4×Q8—611no—
928C2×C4×Q8—611no—
929C2×C4×Q8—611no—
930C2×C4×Q8—611no—
931C2×C4×D4—611no—
932C2×C4×D4—611no—
933C2×C4×D4—1221no—
934C2×C4×D4—1221no—
935C2×#117—611no—
936C2×#117—1221no—
937C22×C4⋊C4—611no—
938C22×C4⋊C4—1221no—
939#484—611no—
940#484—611no—
941#484—611no—
942#484—611no—
943#484—611no—
944#484—611no—
945#484—611no—
946#484C2×D6111yescharacteristic, complemented
947#483—611no—
948#483—611no—
949#483—611no—
950#483—611no—
951#483—611no—
952#483—611no—
953#483—611no—
954#483C2×D6111yescharacteristic, complemented
955#479—611no—
956#479—611no—
957#479—611no—
958#479—611no—
959#479—611no—
960#479—611no—
961#479—611no—
962#479C2×D6111yescharacteristic, complemented
963#478—611no—
964#478—611no—
965#478—611no—
966#478—611no—
967#478—611no—
968#478—611no—
969#478—611no—
970#478C2×D6111yescharacteristic, complemented
971#462—611no—
972#462—611no—
973#462—611no—
974#462—611no—
975#462—611no—
976#462—611no—
977#462—611no—
978#462C2×D6111yescharacteristic, complemented
979#461—611no—
980#461—611no—
981#461—611no—
982#461—611no—
983#461—611no—
984#461—611no—
985#461—611no—
986#461C2×D6111yescharacteristic, complemented
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#452—611no—
992#452—611no—
993#452—611no—
994#452—611no—
995#452—611no—
996#452—611no—
997#452—611no—
998#452—611no—
999#452—611no—
1000#452—611no—
1001#452C2×D6111yescharacteristic
1002#452C2×D6111yescharacteristic
1003#441—611no—
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#441—611no—
1008#441—611no—
1009#441—611no—
1010#441C2×D6111yescharacteristic, complemented
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016#440—611no—
1017#440—611no—
1018#440C2×D6111yescharacteristic, complemented
1019C4×Q16—611no—
1020C4×Q16—611no—
1021C4×Q16—611no—
1022C4×Q16—611no—
1023C4×Q16—611no—
1024C4×Q16—611no—
1025C4×Q16—611no—
1026C4×Q16C2×D6111yescharacteristic, complemented
1027C4×SD16—611no—
1028C4×SD16—611no—
1029C4×SD16—611no—
1030C4×SD16—611no—
1031C4×SD16—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16C2×D6111yescharacteristic, complemented
1035#433—611no—
1036#433—611no—
1037#433—611no—
1038#433—611no—
1039#433—611no—
1040#433—611no—
1041#433—611no—
1042#433C2×D6111yescharacteristic, complemented
1043C2×#107—611no—
1044C2×#107—611no—
1045C2×#106—611no—
1046C2×#106—611no—
1047C2×C4⋊C8—611no—
1048C2×C4⋊C8—611no—
1049C2×#103—611no—
1050C2×#103—611no—
1051C2×#103—611no—
1052C2×#103—611no—
1053C2×#103—611no—
1054C2×#103—611no—
1055C2×#102—611no—
1056C2×#102—611no—
1057C2×C22⋊C8—611no—
1058C2×C22⋊C8—611no—
1059C2×#97—611no—
1060C2×C4×C8—611no—
1061C61C2×#312011yescharacteristic, complemented, Sylow
1062C2×#41—611no—
1063C2×#41—611no—
1064C2×#41—611no—
1065C2×#41—1221no—
1066C2×#41—1221no—
1067C2×#41—1224no—
1068C2×#41—1224no—
1069C2×#41C22×D6111yescharacteristic
1070C22×Q8—611no—
1071C22×Q8—611no—
1072C22×Q8—611no—
1073C22×D4—611no—
1074C22×D4—1221no—
1075C23×C4—611no—
1076C23×C4—1221no—
1077C23×C4—1221no—
1078C23×C4—1221no—
1079C23×C4—1221no—
1080C2×Q16—611no—
1081C2×Q16—611no—
1082C2×Q16—611no—
1083C2×Q16—611no—
1084C2×Q16—611no—
1085C2×Q16—611no—
1086C2×Q16—1224no—
1087C2×Q16—1224no—
1088C2×Q16C22×D6111yescharacteristic
1089C2×Q16C22×D6111yescharacteristic
1090C2×SD16—611no—
1091C2×SD16—611no—
1092C2×SD16—611no—
1093C2×SD16—611no—
1094C2×SD16—611no—
1095C2×SD16—611no—
1096C2×SD16—1224no—
1097C2×SD16—1224no—
1098C2×SD16C22×D6111yescharacteristic
1099C2×SD16C22×D6111yescharacteristic
1100C22×C8—611no—
1101C22×C8—611no—
1102C22×C8—611no—
1103C22×C8—611no—
1104C4⋊Q8—611no—
1105C4⋊Q8—611no—
1106C4⋊Q8—611no—
1107C4⋊Q8—1221no—
1108C4⋊Q8—1221no—
1109C4⋊Q8C22×D6111yescharacteristic
1110#126—21no—
1111#126—21no—
1112#126—1221no—
1113#126—1221no—
1114#126—1221no—
1115#126—1221no—
1116#126—1221no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#126—1221no—
1123#126—1221no—
1124#126—1221no—
1125#126—1221no—
1126#125—21no—
1127#125—21no—
1128#125—611no—
1129#125—611no—
1130#125—611no—
1131#125—1221no—
1132#125—1221no—
1133#125—1221no—
1134#125—1221no—
1135#125—1221no—
1136#125—1221no—
1137#125—1221no—
1138#125—1221no—
1139#125—1221no—
1140#125—1221no—
1141#125—1221no—
1142#125—1221no—
1143#125—1221no—
1144#125—1221no—
1145#125—1221no—
1146#125—1221no—
1147#125C22×D6111yescharacteristic
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—611no—
1153C22⋊Q8—611no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8C22×D6111yescharacteristic
1159C22⋊Q8C22×D6111yescharacteristic
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—1221no—
1173C4×Q8—1221no—
1174C4×Q8—1221no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8C22×D6111yescharacteristic
1181C4×Q8C22×D6111yescharacteristic
1182C4×Q8C22×D6111yescharacteristic
1183C4×Q8C22×D6111yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4—1221no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4C22×D6111yescharacteristic
1211C4×D4C22×D6111yescharacteristic
1212#117—21no—
1213#117—611no—
1214#117—611no—
1215#117—611no—
1216#117—611no—
1217#117—611no—
1218#117—611no—
1219#117—611no—
1220#117—1221no—
1221#117—1221no—
1222#117—1221no—
1223#117—1221no—
1224#117—1221no—
1225#117—1221no—
1226#117—1221no—
1227#117C22×D6111yescharacteristic
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4—611no—
1230C2×C4⋊C4—611no—
1231C2×C4⋊C4—611no—
1232C2×C4⋊C4—611no—
1233C2×C4⋊C4—611no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—1221no—
1239C2×C4⋊C4—1221no—
1240C2×C4⋊C4—1221no—
1241C2×C4⋊C4—1221no—
1242C2×C4⋊C4—1221no—
1243C2×C4⋊C4—1221no—
1244C2×C4⋊C4—1221no—
1245C2×C4⋊C4—1221no—
1246C2×C4⋊C4—1221no—
1247C2×C4⋊C4—1221no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C4⋊C4—1221no—
1253C2×C4⋊C4—1221no—
1254C2×C4⋊C4—1221no—
1255C2×C4⋊C4—1221no—
1256C2×C4⋊C4—1221no—
1257C2×C4⋊C4—1221no—
1258C2×C4⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—1221no—
1262C2×C22⋊C4—1221no—
1263C2×C22⋊C4—1221no—
1264C2×C22⋊C4—1221no—
1265C2×C42—611no—
1266C2×C42—611no—
1267C2×C42—1221no—
1268C2×C42—1221no—
1269C2×C42—1221no—
1270C2×C42—1221no—
1271#107—611no—
1272#107—611no—
1273#107—611no—
1274#107—611no—
1275#107—611no—
1276#107—611no—
1277#107C22×D6111yescharacteristic
1278#107C22×D6111yescharacteristic
1279#106—611no—
1280#106—611no—
1281#106—611no—
1282#106—611no—
1283#106—611no—
1284#106—611no—
1285#106C22×D6111yescharacteristic
1286#106C22×D6111yescharacteristic
1287C4⋊C8—611no—
1288C4⋊C8—611no—
1289C4⋊C8—611no—
1290C4⋊C8—611no—
1291C4⋊C8—611no—
1292C4⋊C8—611no—
1293C4⋊C8C22×D6111yescharacteristic
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#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103C22×D6111yescharacteristic
1314#103C22×D6111yescharacteristic
1315#103C22×D6111yescharacteristic
1316#103C22×D6111yescharacteristic
1317#103C22×D6111yescharacteristic
1318#103C22×D6111yescharacteristic
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102C22×D6111yescharacteristic
1326#102C22×D6111yescharacteristic
1327C22⋊C8—611no—
1328C22⋊C8—611no—
1329C22⋊C8—611no—
1330C22⋊C8—611no—
1331C22⋊C8—611no—
1332C22⋊C8—611no—
1333C22⋊C8C22×D6111yescharacteristic
1334C22⋊C8C22×D6111yescharacteristic
1335#97—611no—
1336#97—611no—
1337#97—611no—
1338#97C22×D6111yescharacteristic
1339C4×C8—611no—
1340C4×C8—611no—
1341C4×C8—611no—
1342C4×C8C22×D6111yescharacteristic
1343C24—611no—
1344C24—1221no—
1345#41—22no—
1346#41—22no—
1347#41—1222no—
1348#41—1222no—
1349#41—1228no—
1350#41—1222no—
1351#41—1228no—
1352#41—1222no—
1353#41—1222no—
1354#41—1222no—
1355C2×Q8—614no—
1356C2×Q8—611no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—1221no—
1360C2×Q8—1221no—
1361C2×Q8—1221no—
1362C2×Q8—1222no—
1363C2×Q8—1222no—
1364C2×Q8—1222no—
1365C2×Q8—1222no—
1366C2×Q8—1222no—
1367C2×Q8C23×D6111yescharacteristic
1368C2×Q8C23×D6111yescharacteristic
1369C2×Q8C23×D6111yescharacteristic
1370C2×D4—21no—
1371C2×D4—614no—
1372C2×D4—611no—
1373C2×D4—1221no—
1374C2×D4—1222no—
1375C2×D4—1221no—
1376C2×D4—1228no—
1377C2×D4—1221no—
1378C2×D4—1221no—
1379C2×D4C23×D6111yescharacteristic
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—611no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—611no—
1393C22×C4—1221no—
1394C22×C4—1222no—
1395C22×C4—1222no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1228no—
1400C22×C4—1221no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—4882no—
1416C22×C4—4882no—
1417C22×C4—4882no—
1418C22×C4C23×D6111yescharacteristic
1419Q16—22no—
1420Q16—22no—
1421Q16—1222no—
1422Q16—1222no—
1423Q16—1222no—
1424Q16—1222no—
1425Q16—1222no—
1426Q16—1222no—
1427SD16—22no—
1428SD16—22no—
1429SD16—1222no—
1430SD16—1222no—
1431SD16—1222no—
1432SD16—1222no—
1433SD16—1222no—
1434SD16—1222no—
1435C2×C8—611no—
1436C2×C8—611no—
1437C2×C8—611no—
1438C2×C8—611no—
1439C2×C8—1222no—
1440C2×C8—1222no—
1441C2×C8—1222no—
1442C2×C8—1222no—
1443C2×C8C23×D6111yescharacteristic
1444C2×C8C23×D6111yescharacteristic
1445C2×C8C23×D6111yescharacteristic
1446C2×C8C23×D6111yescharacteristic
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—611no—
1465C4⋊C4—611no—
1466C4⋊C4—611no—
1467C4⋊C4—611no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4D4×D6111yescharacteristic
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C4⋊C4C23×D6111yescharacteristic
1510C4⋊C4C23×D6111yescharacteristic
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4D4×D6111yescharacteristic
1534C22⋊C4D4×D6111yescharacteristic
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—611no—
1540C42—611no—
1541C42—611no—
1542C42—611no—
1543C42—611no—
1544C42—611no—
1545C42—1221no—
1546C42—1221no—
1547C42—1221no—
1548C42—1221no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42—1221no—
1557C42C23×D6111yescharacteristic
1558C42C23×D6111yescharacteristic
1559C23—21no—
1560C23—611no—
1561C23—611no—
1562C23—1224no—
1563C23—1222no—
1564C23—1222no—
1565C23—1222no—
1566C23—1221no—
1567C23—2442no—
1568C23—2442no—
1569C23C2×D4×D6111yescharacteristic
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—612no—
1576Q8—1224no—
1577Q8—1221no—
1578Q8—1221no—
1579Q8—1221no—
1580Q8—1221no—
1581Q8—1221no—
1582Q8—2442no—
1583Q8—2442no—
1584Q8#41×D6112yes—
1585D4—24no—
1586D4—21no—
1587D4—612no—
1588D4—1224no—
1589D4—1224no—
1590D4—1224no—
1591D4—1224no—
1592D4—1221no—
1593D4#41×D6112yes—
1594C2×C4—24no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—611no—
1608C2×C4—612no—
1609C2×C4—612no—
1610C2×C4—611no—
1611C2×C4—611no—
1612C2×C4—611no—
1613C2×C4—611no—
1614C2×C4—611no—
1615C2×C4—1222no—
1616C2×C4—1222no—
1617C2×C4—1222no—
1618C2×C4—1222no—
1619C2×C4—1222no—
1620C2×C4—1222no—
1621C2×C4—1224no—
1622C2×C4—1224no—
1623C2×C4—1224no—
1624C2×C4—1222no—
1625C2×C4—1224no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—4881no—
1636C2×C4—4881no—
1637C2×C4—4881no—
1638C2×C4—4881no—
1639C2×C4—4881no—
1640C2×C4—4881no—
1641C2×C4—4881no—
1642C2×C4—4881no—
1643C2×C4—4881no—
1644C2×C4—2442no—
1645C2×C4—2442no—
1646C2×C4—2442no—
1647C2×C4—2442no—
1648C2×C4—2442no—
1649C2×C4—2442no—
1650C2×C4C2×D4×D6111yescharacteristic
1651C2×C4C2×D4×D6111yescharacteristic
1652C2×C4C2×D4×D6111yescharacteristic
1653C2×C4C2×D4×D6111yescharacteristic
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C24×D6111yescharacteristic
1656C8—21no—
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—1221no—
1661C8—1221no—
1662C8—1221no—
1663C8—1221no—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—612no—
1671C22—612no—
1672C22—612no—
1673C22—1221no—
1674C22—1221no—
1675C22—1222no—
1676C22—1221no—
1677C22—2444no—
1678C22—2448no—
1679C22—2441no—
1680C22—2441no—
1681C22C22×D4×D6111yescharacteristic
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—612no—
1695C4—1221no—
1696C4—1221no—
1697C4—1221no—
1698C4—1221no—
1699C4—1221no—
1700C4—1222no—
1701C4—2441no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4C2×#41×D6111yescharacteristic
1708C4C2×#41×D6111yescharacteristic
1709C2—41no—
1710C2—42no—
1711C2—614no—
1712C2—2441no—
1713C2—2442no—
1714C2#525×D6111yescharacteristic
1715C2#577×D6111yescharacteristic
1716C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3120C2
socleC22×C61C23×D4
prime radicalC2×#41×D61C22
hypercenter#3120D61
hypocenterC61C2×#3120
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #541×D61C2semidirect
3. #21456040C2semidirect
4. #21456039C2semidirect
5. #21456038C2semidirect
6. #21456037C2semidirect
7. #21456036C2semidirect
8. #21456035C2semidirect
9. #21456034C2semidirect
10. #21456033C2semidirect
11. #21456032C2semidirect
12. #21456031C2semidirect
13. #21456030C2semidirect
14. #21456029C2semidirect
15. #21456028C2semidirect
16. #21456027C2semidirect
17. #21456026C2semidirect
18. #484×D61C2semidirect
19. #483×D61C2semidirect
20. #479×D61C2semidirect
21. #478×D61C2semidirect
22. #462×D61C2semidirect
23. #461×D61C2semidirect
26. #441×D61C2semidirect
27. #440×D61C2semidirect
28. C4×Q16×D61C2semidirect
29. C4×SD16×D61C2semidirect
30. #433×D61C2semidirect
31. C61×#3120C2semidirect
37. #16840375C22semidirect
38. #16840374C22semidirect
39. #16840373C22semidirect
40. #16840372C22semidirect
41. #16840372C22semidirect
44. #16840370C22semidirect
45. #16840370C22semidirect
79. #16840099C22semidirect
80. #16840099C22semidirect
81. #16840098C22semidirect
82. #16840097C22semidirect
83. #16840096C22semidirect
84. #16840096C22semidirect
85. #16840095C22semidirect
86. #16840094C22semidirect
87. #16840094C22semidirect
88. #16840093C22semidirect
89. #16840092C22semidirect
90. #16840091C22semidirect
91. #16840091C22semidirect
92. #16840090C22semidirect
93. #16840072C22semidirect
94. #16840071C22semidirect
95. #16840070C22semidirect
96. #16840069C22semidirect
97. #16840068C22semidirect
98. #16840067C22semidirect
99. #16840066C22semidirect
100. #16840065C22semidirect
101. #16840064C22semidirect
102. #16840063C22semidirect
103. #16840062C22semidirect
104. #16840061C22semidirect
105. #16840060C22semidirect
106. #16840059C22semidirect
107. #16839973C22semidirect
108. #16839972C22semidirect
109. #16839971C22semidirect
110. #16839971C22semidirect
111. #16839970C22semidirect
112. #16839970C22semidirect
113. #16839969C22semidirect
114. #16839968C22semidirect
115. #16839967C22semidirect
116. #16839966C22semidirect
117. #16839966C22semidirect
118. #16839965C22semidirect
119. #16839965C22semidirect
120. #16839964C22semidirect
135. #16839870C22semidirect
136. #16839869C22semidirect
137. #16839868C22semidirect
138. #16839867C22semidirect
139. #16839867C22semidirect
140. #16839866C22semidirect
141. #16839866C22semidirect
142. #16839865C22semidirect
143. #16839864C22semidirect
144. #16839863C22semidirect
145. #16839862C22semidirect
146. #16839861C22semidirect
147. #16839860C22semidirect
148. #16839859C22semidirect
149. C4×Dic244C22semidirect
150. Q16×Dic61C22semidirect
151. #16839856C22semidirect
152. C4×#11758202C22semidirect
153. C4×#11758202C22semidirect
154. #16839854C22semidirect
155. #16839854C22semidirect
156. #16839853C22semidirect
157. C4×#11758190C22semidirect
158. SD16×Dic61C22semidirect
159. C4×#11758201C22semidirect
160. #16839849C22semidirect
161. C4×#11758200C22semidirect
162. #16839847C22semidirect
163. #16839824C22semidirect
164. #16839823C22semidirect
165. #16839822C22semidirect
166. #16839822C22semidirect
167. #16839821C22semidirect
168. #16839820C22semidirect
169. #16839820C22semidirect
188. C61×#541C22semidirect
190. C61×#484C22semidirect
191. C61×#483C22semidirect
192. C61×#479C22semidirect
193. C61×#478C22semidirect
194. C61×#462C22semidirect
195. C61×#461C22semidirect
198. C61×#441C22semidirect
199. C61×#440C22semidirect
200. C4×Q16×C61C22semidirect
201. C4×SD16×C61C22semidirect
202. C61×#433C22semidirect
868. #3120D61direct (N × H)
889. D61#3120direct (N × H)
906. #541C2×D61semidirect
946. #484C2×D61semidirect
954. #483C2×D61semidirect
962. #479C2×D61semidirect
970. #478C2×D61semidirect
978. #462C2×D61semidirect
986. #461C2×D61semidirect
1010. #441C2×D61semidirect
1018. #440C2×D61semidirect
1026. C4×Q16C2×D61semidirect
1034. C4×SD16C2×D61semidirect
1042. #433C2×D61semidirect
1061. C61C2×#3120semidirect

Maximal subgroups

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

subgroupindex
#541×D612
#520×D612
#214560402
#214560392
#214560382
#214560372
#214560362
#214560352
#214560342
#214560332
#214560322
#214560312
#214560302
#214560292
#214560282
#214560272
#214560262
#484×D612
#483×D612
#479×D612
#478×D612
#462×D612
#461×D612
#452×D612
#441×D612
#440×D612
C4×Q16×D612
C4×SD16×D612
#433×D612
C61×#31202
C2×#312061