Finite Group Databasebeta

← #30576101

Subgroups — #30576101

Order 15616.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459834C211yesmaximal, characteristic, complemented
2#21459432C211yesmaximal, characteristic, complemented
3#21458754C211yesmaximal, characteristic, complemented
4#21458735C211yesmaximal, characteristic, complemented
5#21458554C211yesmaximal, characteristic, complemented
6#21458532C211yesmaximal, characteristic, complemented
7#21458409C211yesmaximal, characteristic, complemented
8#21458398C211yesmaximal, characteristic, complemented
9#21458356C211yesmaximal, characteristic, complemented
10#21458344C211yesmaximal, characteristic, complemented
11#21458331C211yesmaximal, characteristic, complemented
12#21458329C211yesmaximal, characteristic, complemented
13#21458108C211yesmaximal, characteristic, complemented
14#21458097C211yesmaximal, characteristic, complemented
15#21458012C211yesmaximal, characteristic, complemented
16#21458000C211yesmaximal, characteristic, complemented
17#21457892C211yesmaximal, characteristic, complemented
18#21457880C211yesmaximal, characteristic, complemented
19#21457217C211yesmaximal, characteristic, complemented
20#21457153C211yesmaximal, characteristic, complemented
21#21457058C211yesmaximal, characteristic, complemented
22#21457055C211yesmaximal, characteristic, complemented
23#21456977C211yesmaximal, characteristic, complemented
24#21455989C211yesmaximal, characteristic, complemented
25#21455986C211yesmaximal, characteristic, complemented
26#21455834C211yesmaximal, characteristic, complemented
27#21455626C211yesmaximal, characteristic, complemented
28#21455622C211yesmaximal, characteristic, complemented
29#21455604C211yesmaximal, characteristic, complemented
30#21454933C211yesmaximal, characteristic, complemented
31C61×#3256C211yesmaximal, characteristic, complemented
32Q8×Dic122C2211yescharacteristic
33#16840489C2211yescharacteristic
34#16840485C2211yescharacteristic
35#16840483C2211yescharacteristic
36#16840483C2211yescharacteristic
37#16840482—21no—
38#16840481C2211yescharacteristic
39#16840479—21no—
40#16840479—21no—
41#16840479—21no—
42#16840477C2211yescharacteristic
43#16840476C2211yescharacteristic
44#16840476C2211yescharacteristic
45#16840454C2211yescharacteristic
46#16840450C2211yescharacteristic
47#16840449—21no—
48#16840448—21no—
49D4×Dic122C2211yescharacteristic
50#16840425C2211yescharacteristic
51#16840421—21no—
52#16840420C2211yescharacteristic
53#16840418C2211yescharacteristic
54#16840412C2211yescharacteristic
55#16840410—21no—
56#16840383—21no—
57#16840380—21no—
58#16840380—21no—
59#16840319C2211yescharacteristic
60#16840318C2211yescharacteristic
61#16840318C2211yescharacteristic
62#16840316C2211yescharacteristic
63#16840315—21no—
64#16840294C2211yescharacteristic
65#16840292—21no—
66#16840291C2211yescharacteristic
67#16840291C2211yescharacteristic
68#16840290—21no—
69#16840239—21no—
70C4×#11758222C2211yescharacteristic
71C4×#11758224—21no—
72C4×#11758224C2211yescharacteristic
73C2×C4×Dic122C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840172C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840121C2211yescharacteristic
82#16840121C2211yescharacteristic
83#16840120C2211yescharacteristic
84#16840120C2211yescharacteristic
85#16840111C2211yescharacteristic
86#16840111C2211yescharacteristic
87#16840106C2211yescharacteristic
88#16840106C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840105C2211yescharacteristic
91#16840102C2211yescharacteristic
92#16840102C2211yescharacteristic
93#16840101C2211yescharacteristic
94#16840100C2211yescharacteristic
95#16840100C2211yescharacteristic
96#16840096C2211yescharacteristic
97#16840095C2211yescharacteristic
98#16840085C2211yescharacteristic
99#16840085C2211yescharacteristic
100#16840084C2211yescharacteristic
101#16840083C2211yescharacteristic
102#16840083C2211yescharacteristic
103#16840079C2211yescharacteristic
104#16840078C2211yescharacteristic
105#16840070C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840069C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840067C2211yescharacteristic
112#16840066C2211yescharacteristic
113#16840066C2211yescharacteristic
114#16840062C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840058C2211yescharacteristic
118#16840058C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840055C2211yescharacteristic
122#16840050C2211yescharacteristic
123#16840048C2211yescharacteristic
124#16840048C2211yescharacteristic
125#16840046C2211yescharacteristic
126#16840046C2211yescharacteristic
127#16840045C2211yescharacteristic
128#16840045C2211yescharacteristic
129#16840040C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840019C2211yescharacteristic
132#16840012C2211yescharacteristic
133#16840007C2211yescharacteristic
134#16840005C2211yescharacteristic
135#16840002C2211yescharacteristic
136#16840000C2211yescharacteristic
137#16839990C2211yescharacteristic
138#16839988C2211yescharacteristic
139#16839982C2211yescharacteristic
140#16839981C2211yescharacteristic
141#16839981C2211yescharacteristic
142#16839975C2211yescharacteristic
143#16839970C2211yescharacteristic
144#16839965C2211yescharacteristic
145#16839921C2211yescharacteristic
146#16839917C2211yescharacteristic
147#16839916C2211yescharacteristic
148#16839904C2211yescharacteristic
149#16839900C2211yescharacteristic
150#16839899C2211yescharacteristic
151#16839891C2211yescharacteristic
152#16839891C2211yescharacteristic
153#16839869C2211yescharacteristic
154#16839867C2211yescharacteristic
155#16839867C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839863C2211yescharacteristic
158#16839862C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839859C2211yescharacteristic
161#16839854C2211yescharacteristic
162#16839853C2211yescharacteristic
163SD16×Dic61C2211yescharacteristic
164D8×Dic61C2211yescharacteristic
165#16839838C2211yescharacteristic
166#16839838C2211yescharacteristic
167#16839832C2211yescharacteristic
168#16839832C2211yescharacteristic
169#16839831C2211yescharacteristic
170#16839831C2211yescharacteristic
171#16839819C2211yescharacteristic
172#16839818C2211yescharacteristic
173#16839814C2211yescharacteristic
174#16839804C2211yescharacteristic
175#16839804C2211yescharacteristic
176#16839803C2211yescharacteristic
177#16839801C2211yescharacteristic
178#16839799C2211yescharacteristic
179#16839797C2211yescharacteristic
180#16839784C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839772C2211yescharacteristic
184#16839769C2211yescharacteristic
185#16839769C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C61×#529C2211yescharacteristic
190C61×#479C2211yescharacteristic
191C61×#479C2211yescharacteristic
192C61×#478C2211yescharacteristic
193C61×#478C2211yescharacteristic
194C61×#470C2211yescharacteristic
195C61×#469C2211yescharacteristic
196C61×#468C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#464C2211yescharacteristic
199C61×#464C2211yescharacteristic
200C61×#463C2211yescharacteristic
201C61×#463C2211yescharacteristic
202C61×#423C2211yescharacteristic
203C2×#11758222D411yescharacteristic
204C2×#11758224—21no—
205C2×#11758224C2311yescharacteristic
206C22×Dic122—21no—
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×#11758202C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758200C2311yescharacteristic
212C2×#11758200C2311yescharacteristic
213C2×#11758189C2311yescharacteristic
214C2×#11758189C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777—21no—
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519776—21no—
221#14519776—21no—
222#14519776—21no—
223#14519776—21no—
224#14519776C2311yescharacteristic
225#14519776C2311yescharacteristic
226#14519776C2311yescharacteristic
227#14519776C2311yescharacteristic
228#14519776C2311yescharacteristic
229#14519775C2311yescharacteristic
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519768—21no—
246#14519768—21no—
247#14519768C2311yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519765—21no—
252#14519764—21no—
253#14519764—21no—
254#14519764C2311yescharacteristic
255#14519763—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519762—21no—
264#14519761—21no—
265#14519759—21no—
266#14519759—21no—
267#14519759—21no—
268#14519759—21no—
269#14519758—21no—
270#14519757C2311yescharacteristic
271#14519757C2311yescharacteristic
272#14519756—21no—
273#14519756—21no—
274#14519756—21no—
275#14519755—21no—
276#14519755—21no—
277#14519755—21no—
278#14519755—21no—
279#14519755—21no—
280#14519755—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519754—21no—
286#14519754—21no—
287#14519754—21no—
288#14519753C2311yescharacteristic
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519751—21no—
292#14519750—21no—
293#14519749—21no—
294#14519749—21no—
295#14519749—21no—
296#14519748C2311yescharacteristic
297#14519748C2311yescharacteristic
298#14519748C2311yescharacteristic
299Q8×Dic61C2311yescharacteristic
300Q8×Dic61C2311yescharacteristic
301Q8×Dic61C2311yescharacteristic
302C4×Dic122—21no—
303C4×Dic122—21no—
304C4×Dic122—21no—
305C4×Dic122—21no—
306C4×Dic122—21no—
307C4×Dic122—21no—
308C4×Dic122—21no—
309C4×Dic122—21no—
310C4×Dic122D411yescharacteristic
311C4×Dic122C2311yescharacteristic
312C4×Dic122C2311yescharacteristic
313C4×Dic122C2311yescharacteristic
314C4×Dic122C2311yescharacteristic
315C4×Dic122C2311yescharacteristic
316#14519742—21no—
317#14519742—21no—
318#14519742—21no—
319#14519742—21no—
320#14519742—21no—
321#14519742—21no—
322#14519742—21no—
323#14519742—21no—
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326C4×D244D411yescharacteristic
327C4×D244C2311yescharacteristic
328D4×Dic61—21no—
329D4×Dic61C2311yescharacteristic
330D4×Dic61C2311yescharacteristic
331D4×Dic61C2311yescharacteristic
332C4×C22⋊D61—21no—
333C4×C22⋊D61—21no—
334C4×C22⋊D61D411yescharacteristic
335C4×C22⋊D61D411yescharacteristic
336C4×C22⋊D61C2311yescharacteristic
337C4×C22⋊D61C2311yescharacteristic
338#14519737—21no—
339#14519737—21no—
340#14519737—21no—
341#14519737—21no—
342#14519737—21no—
343#14519736—21no—
344#14519736—21no—
345#14519736D411yescharacteristic
346#14519736C2311yescharacteristic
347#14519736C2311yescharacteristic
348#14519735—21no—
349#14519735C2311yescharacteristic
350#14519735C2311yescharacteristic
351#14519735C2311yescharacteristic
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519734—21no—
355#14519734D411yescharacteristic
356#14519734D411yescharacteristic
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360#14519733—21no—
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C4⋊C4×D61—21no—
367C4⋊C4×D61C2311yescharacteristic
368C2×C4×Dic61—21no—
369C2×C4×Dic61—21no—
370C42×D61—21no—
371C42×D61C2311yescharacteristic
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393C4⋊#92418C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61C2311yescharacteristic
444#125×C61C2311yescharacteristic
445#124×C61C2311yescharacteristic
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448#123×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61—21no—
460#117×C61—21no—
461C2×C42×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#106×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C2×Q8×C61C2411yescharacteristic
479C2×Q8×C61C2411yescharacteristic
480C2×D4×C61—21no—
481C2×D4×C61—21no—
482C2×D4×C61C2411yescharacteristic
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61—21no—
486C22×C4×C61C2×D411yescharacteristic
487C22×C4×C61C2×D411yescharacteristic
488C22×C4×C61C2411yescharacteristic
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61C2×D411yescharacteristic
494C2×C22⋊D61C2×D411yescharacteristic
495C22×Dic61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501Q8×D61—22no—
502Q8×D61—41no—
503#11758224—22no—
504#11758224—41no—
505#11758224—44no—
506#11758222—42no—
507C2×D244C2×D411yescharacteristic
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61C2×D411yescharacteristic
511C2×C4×D61C2×D411yescharacteristic
512C2×C4×D61C2×D411yescharacteristic
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2411yescharacteristic
515C2×C4×D61C2411yescharacteristic
516C2×Dic122—22no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122—41no—
527C2×Dic122—44no—
528C2×Dic122C2×D411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531Q16×C61—41no—
532SD16×C61—41no—
533SD16×C61—41no—
534D8×C61—41no—
535M16×C61—41no—
536M16×C61—41no—
537C2×C8×C61C2411yescharacteristic
538C2×C8×C61C2411yescharacteristic
539C2×C8×C61C2411yescharacteristic
540C2×C8×C61C2411yescharacteristic
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61C2411yescharacteristic
550C4⋊C4×C61C2411yescharacteristic
551C4⋊C4×C61C2411yescharacteristic
552C4⋊C4×C61C2411yescharacteristic
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61—21no—
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C42×C61—21no—
564C42×C61—21no—
565C42×C61C2×D411yescharacteristic
566C42×C61C2×D411yescharacteristic
567C42×C61C2411yescharacteristic
568C42×C61C2411yescharacteristic
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61—21no—
573C22⋊Dic61—21no—
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61C2×D411yescharacteristic
580C22⋊Dic61C2×D411yescharacteristic
581#11758202—22no—
582#11758202—41no—
583#11758200—22no—
584#11758200—41no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198C2×D411yescharacteristic
596#11758198C2×D411yescharacteristic
597#11758198C2×D411yescharacteristic
598#11758198C2×D411yescharacteristic
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61—21no—
606C4⋊Dic61—21no—
607C4⋊Dic61—21no—
608C4⋊Dic61C2×D411yescharacteristic
609C4⋊Dic61C2×D411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
614C4⋊Dic61C2411yescharacteristic
615C4⋊Dic61C2411yescharacteristic
616#11758196—21no—
617#11758196—21no—
618#11758196—21no—
619#11758196—21no—
620#11758196—21no—
621#11758196—21no—
622#11758196—21no—
623#11758196—21no—
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
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#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642C4×Dic61—21no—
643C4×Dic61—21no—
644C4×Dic61—21no—
645C4×Dic61—21no—
646C4×Dic61—21no—
647C4×Dic61—21no—
648C4×Dic61—21no—
649C4×Dic61—21no—
650C4×Dic61—21no—
651C4×Dic61—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2×D411yescharacteristic
660C4×Dic61C2×D411yescharacteristic
661C4×Dic61C2×D411yescharacteristic
662C4×Dic61C2411yescharacteristic
663C4×Dic61C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665C2×#92418C2411yescharacteristic
666C2×#92418C2411yescharacteristic
667C2×#92418C2411yescharacteristic
668#11758189—41no—
669#11758189—41no—
670C8×D61—41no—
671C8×D61—41no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61C22×D411yescharacteristic
675C22×D61C22×D411yescharacteristic
676C22×D61C22×D411yescharacteristic
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—21no—
680Q8×C61—21no—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—42no—
686D4×C61—81no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—41no—
696C2×C4×C61—41no—
697C2×C4×C61—42no—
698C2×C4×C61—42no—
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C22×D411yescharacteristic
703C2×C4×C61C22×D411yescharacteristic
704C2×C4×C61C2511yescharacteristic
705C22⋊D61—22no—
706C22⋊D61—41no—
707C22⋊D61—42no—
708C22⋊D61—42no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—42no—
720C2×Dic61—42no—
721C2×Dic61—42no—
722C2×Dic61—42no—
723C2×Dic61—42no—
724C2×Dic61—42no—
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728C2×Dic61C22×D411yescharacteristic
729C2×Dic61C22×D411yescharacteristic
730C2×Dic61C22×D411yescharacteristic
731D244—41no—
732C4×D61—21no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—21no—
736C4×D61—22no—
737C4×D61—41no—
738C4×D61—41no—
739C4×D61—41no—
740C4×D61—42no—
741C4×D61—42no—
742Dic122—21no—
743Dic122—22no—
744Dic122—21no—
745Dic122—21no—
746Dic122—42no—
747Dic122—42no—
748Dic122—42no—
749Dic122—42no—
750Dic122—42no—
751Dic122—42no—
752Dic122—81no—
753Dic122—81no—
754Dic122—81no—
755Dic1222−1+412yes—
756C8×C61—21no—
757C8×C61—21no—
758C8×C61—21no—
759C8×C61—21no—
760#92418—21no—
761#92418—21no—
762#92418—21no—
763#92418—21no—
764#62124—611nomaximal, Sylow
765C22×C61—21no—
766C22×C61—21no—
767C22×C61—21no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61C23×D411yescharacteristic
775C2×D61—21no—
776C2×D61—21no—
777C2×D61—21no—
778C2×D61—21no—
779C2×D61—21no—
780C2×D61—21no—
781C4×C61—21no—
782C4×C61—21no—
783C4×C61—21no—
784C4×C61—21no—
785C4×C61—21no—
786C4×C61—41no—
787C4×C61—41no—
788C4×C61—41no—
789C4×C61—41no—
790C4×C61—41no—
791C4×C61—41no—
792C4×C61C2×2−1+411yescharacteristic
793C4×C61#58511yescharacteristic
794Dic61—21no—
795Dic61—21no—
796Dic61—22no—
797Dic61—21no—
798Dic61—21no—
799Dic61—21no—
800Dic61—41no—
801Dic61—41no—
802Dic61—41no—
803Dic61—41no—
804Dic61—41no—
805Dic61—41no—
806Dic61—41no—
807Dic61#57512yes—
808#3518—611no—
809#3482—611no—
810#3387—611no—
811#3386—611no—
812#3369—611no—
813#3367—611no—
814#3354—611no—
815#3353—611no—
816#3349—611no—
817#3349—611no—
818#3348—611no—
819#3348—611no—
820#3329—611no—
821#3328—611no—
822#3321—611no—
823#3321—611no—
824#3313—611no—
825#3313—611no—
826#3256—611no—
827#3256D6111yescharacteristic, complemented
828#3248—611no—
829#3240—611no—
830#3240—611no—
831#3231—611no—
832#3117—611no—
833#3117—611no—
834#3102—611no—
835#3078—611no—
836#3078—611no—
837#3076—611no—
838#2989—611no—
839C2×C61—41no—
840C2×C61—81no—
841C2×C61—81no—
842C2×C61#348911yescharacteristic
843C2×C61C2×#57511yescharacteristic
844C2×C61#358611yescharacteristic
845D61—41no—
846D61—41no—
847Q82—611no—
848#557—611no—
849#556—611no—
850#556—611no—
851#556—611no—
852#556—611no—
853#556—1221no—
854#556—1221no—
855#556—1221no—
856#556—1221no—
857#555—611no—
858#555—611no—
859#555—611no—
860#552—611no—
861#552—611no—
862#552—1221no—
863#552—1221no—
864D4×Q8—611no—
865D4×Q8—611no—
866#548—611no—
867#548—611no—
868#548—1221no—
869#547—611no—
870#547—1221no—
871#542—1221no—
872#542—1221no—
873#542—1221no—
874#533—611no—
875#533—611no—
876#533—611no—
877#533—611no—
878#533—1221no—
879#529—611no—
880#529—611no—
881#529—611no—
882#529—1221no—
883#529—1221no—
884#529C2×D6111yescharacteristic
885#529C2×D6111yescharacteristic
886#519—1221no—
887C4×#41—611no—
888C4×#41—611no—
889C4×#41—1221no—
890C2×C4×Q8—611no—
891C2×C4×Q8—611no—
892#501—611no—
893#501—611no—
894#501—611no—
895#501—611no—
896#500—611no—
897#498—611no—
898#489—611no—
899#489—611no—
900#489—611no—
901#489—611no—
902#487—611no—
903#487—611no—
904#485—611no—
905#485—611no—
906#485—611no—
907#485—611no—
908#485—611no—
909#485—611no—
910#485—611no—
911#485—611no—
912#485—611no—
913#484—611no—
914#484—611no—
915#482—611no—
916#482—611no—
917#482—611no—
918#482—611no—
919#482—611no—
920#481—611no—
921#481—611no—
922#479—611no—
923#479—611no—
924#479—611no—
925#479—611no—
926#479—611no—
927#479—611no—
928#479—611no—
929#479—611no—
930#479—611no—
931#479C2×D6111yescharacteristic
932#479C2×D6111yescharacteristic
933#478—611no—
934#478—611no—
935#478—611no—
936#478C2×D6111yescharacteristic
937#478C2×D6111yescharacteristic
938#477—611no—
939#477—611no—
940#477—611no—
941#477—611no—
942#477—611no—
943#476—611no—
944#475—611no—
945#475—611no—
946#475—611no—
947#475—611no—
948#475—611no—
949#475—611no—
950#474—611no—
951#474—611no—
952#470—611no—
953#470C2×D6111yescharacteristic
954#469—611no—
955#469C2×D6111yescharacteristic
956#468—611no—
957#468—611no—
958#468C2×D6111yescharacteristic
959#468C2×D6111yescharacteristic
960#467—611no—
961#467—611no—
962#465—611no—
963#465—611no—
964#464—611no—
965#464—611no—
966#464—611no—
967#464C2×D6111yescharacteristic
968#464C2×D6111yescharacteristic
969#463—611no—
970#463C2×D6111yescharacteristic
971#463C2×D6111yescharacteristic
972#462—611no—
973#461—611no—
974#452—611no—
975#451—611no—
976#451—611no—
977#449—611no—
978#448—611no—
979#448—611no—
980#446—611no—
981#446—611no—
982#441—611no—
983#441—611no—
984#441—611no—
985#441—611no—
986#440—611no—
987#440—611no—
988#440—611no—
989#440—611no—
990C4×Q16—611no—
991C4×SD16—611no—
992C4×SD16—611no—
993C4×D8—611no—
994#436—611no—
995#436—611no—
996#435—611no—
997#435—611no—
998#435—611no—
999#435—611no—
1000#432—611no—
1001#432—611no—
1002#431—611no—
1003#428—611no—
1004#428—611no—
1005#428—611no—
1006#428—611no—
1007#427—611no—
1008#427—611no—
1009#423—611no—
1010#423C2×D6111yescharacteristic
1011C2×C4⋊C8—611no—
1012#419—611no—
1013#419—611no—
1014#419—611no—
1015#419—611no—
1016#416—611no—
1017#416—611no—
1018C61#6212411yescharacteristic, complemented, Sylow
1019C2×#41—611no—
1020C2×#41—611no—
1021C2×#41—1221no—
1022C22×Q8—611no—
1023C22×Q8—611no—
1024C22×Q8—1221no—
1025C2×Q16—611no—
1026C2×Q16—611no—
1027C2×Q16C22×D6111yescharacteristic
1028C2×SD16—611no—
1029C2×SD16—611no—
1030C2×SD16C22×D6111yescharacteristic
1031C2×SD16C22×D6111yescharacteristic
1032C2×D8C22×D6111yescharacteristic
1033C2×M16—611no—
1034C2×M16—611no—
1035C2×M16C22×D6111yescharacteristic
1036C2×M16C22×D6111yescharacteristic
1037C22×C8—611no—
1038C22×C8—611no—
1039C4⋊Q8—611no—
1040C4⋊Q8—611no—
1041C4⋊Q8—611no—
1042C4⋊Q8—611no—
1043C4⋊Q8—611no—
1044C4⋊Q8—611no—
1045C4⋊Q8—611no—
1046C4⋊Q8—611no—
1047C4⋊Q8—1221no—
1048C4⋊Q8—1221no—
1049C4⋊Q8—1221no—
1050C4⋊Q8—1221no—
1051C4⋊Q8—1221no—
1052#126—21no—
1053#126—21no—
1054#126—1221no—
1055#126—1221no—
1056#126—1221no—
1057#126—1221no—
1058#126—1221no—
1059#126—1221no—
1060#126—1221no—
1061#126—1221no—
1062#126—1221no—
1063#126—1221no—
1064#126—1221no—
1065#126—1221no—
1066#126—1221no—
1067#125—611no—
1068#125—611no—
1069#125—611no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125C22×D6111yescharacteristic
1076#125C22×D6111yescharacteristic
1077#124—611no—
1078#124—1221no—
1079#124—1221no—
1080#124—1221no—
1081#124—1221no—
1082#124—1221no—
1083#124—1221no—
1084#124—1221no—
1085#124—1221no—
1086#124—1221no—
1087#124—1221no—
1088#124—1221no—
1089#124C22×D6111yescharacteristic
1090#124C22×D6111yescharacteristic
1091#123—21no—
1092#123—21no—
1093#123—1221no—
1094#123—1221no—
1095#123—1221no—
1096#123—1221no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100C22⋊Q8—611no—
1101C22⋊Q8—611no—
1102C22⋊Q8—611no—
1103C22⋊Q8—611no—
1104C22⋊Q8—611no—
1105C22⋊Q8—1221no—
1106C22⋊Q8—1221no—
1107C22⋊Q8—1221no—
1108C22⋊Q8—1221no—
1109C22⋊Q8—1221no—
1110C22⋊Q8—1221no—
1111C22⋊Q8—1221no—
1112C22⋊Q8—1221no—
1113C22⋊Q8—1221no—
1114C22⋊Q8—1221no—
1115C22⋊Q8—1221no—
1116C22⋊Q8—1221no—
1117C22⋊Q8—1221no—
1118C22⋊Q8—1221no—
1119C22⋊Q8—1221no—
1120C22⋊Q8—1221no—
1121C22⋊Q8C22×D6111yescharacteristic
1122C22⋊Q8C22×D6111yescharacteristic
1123#121—611no—
1124#121—611no—
1125#121—611no—
1126#121—1221no—
1127#121—1221no—
1128#121—1221no—
1129#121—1221no—
1130#121—1221no—
1131#121C22×D6111yescharacteristic
1132#121C22×D6111yescharacteristic
1133C4×Q8—611no—
1134C4×Q8—611no—
1135C4×Q8—611no—
1136C4×Q8—611no—
1137C4×Q8—611no—
1138C4×Q8—611no—
1139C4×Q8—611no—
1140C4×Q8—611no—
1141C4×Q8—611no—
1142C4×Q8—611no—
1143C4×Q8—611no—
1144C4×Q8—1221no—
1145C4×Q8—1221no—
1146C4×Q8—1221no—
1147C4×Q8—1221no—
1148C4×Q8—1221no—
1149C4×Q8—1221no—
1150C4×Q8—1221no—
1151C4×Q8—1221no—
1152C4×Q8—1221no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8C22×D6111yescharacteristic
1161C4×Q8C22×D6111yescharacteristic
1162C4×D4—21no—
1163C4×D4—21no—
1164C4×D4—611no—
1165C4×D4—611no—
1166C4×D4—611no—
1167C4×D4—611no—
1168C4×D4—611no—
1169C4×D4—611no—
1170C4×D4—611no—
1171C4×D4—611no—
1172C4×D4—611no—
1173C4×D4—1221no—
1174C4×D4—1221no—
1175C4×D4—1221no—
1176C4×D4—1221no—
1177C4×D4—1221no—
1178C4×D4—1221no—
1179C4×D4—1221no—
1180C4×D4—1221no—
1181C4×D4C22×D6111yescharacteristic
1182C4×D4C22×D6111yescharacteristic
1183#117—21no—
1184#117—21no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—611no—
1192#117—611no—
1193#117—611no—
1194#117—611no—
1195#117—1221no—
1196#117—1221no—
1197#117—1221no—
1198#117—1221no—
1199#117—1221no—
1200#117—1221no—
1201#117—1221no—
1202#117—1221no—
1203#117—1221no—
1204#117—1221no—
1205#117—1221no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—1221no—
1209C2×C4⋊C4—1221no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—1221no—
1213C2×C42—1221no—
1214C2×C42—1221no—
1215C2×C42C22×D6111yescharacteristic
1216#107—611no—
1217#107—611no—
1218#107—611no—
1219#107—611no—
1220#107—611no—
1221#107—611no—
1222#107—611no—
1223#107—611no—
1224#107—611no—
1225#107—611no—
1226#107C22×D6111yescharacteristic
1227#107C22×D6111yescharacteristic
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233#106—611no—
1234#106—611no—
1235#106—611no—
1236#106—611no—
1237#106—611no—
1238#106C22×D6111yescharacteristic
1239#106C22×D6111yescharacteristic
1240C4⋊C8—611no—
1241C4⋊C8—611no—
1242C4⋊C8—611no—
1243C4⋊C8—611no—
1244C4⋊C8—611no—
1245C4⋊C8—611no—
1246C4⋊C8C22×D6111yescharacteristic
1247C4⋊C8C22×D6111yescharacteristic
1248C4⋊C8C22×D6111yescharacteristic
1249C4⋊C8C22×D6111yescharacteristic
1250#103—611no—
1251#103—611no—
1252#103—611no—
1253#103—611no—
1254#103—611no—
1255#103—611no—
1256#103—611no—
1257#103—611no—
1258#103—611no—
1259#103—611no—
1260#103—611no—
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103C22×D6111yescharacteristic
1269#103C22×D6111yescharacteristic
1270#103C22×D6111yescharacteristic
1271#103C22×D6111yescharacteristic
1272#102—611no—
1273#102—611no—
1274#102—611no—
1275#102—611no—
1276#102—611no—
1277#102—611no—
1278#102C22×D6111yescharacteristic
1279#102C22×D6111yescharacteristic
1280#102C22×D6111yescharacteristic
1281#102C22×D6111yescharacteristic
1282C22⋊C8—611no—
1283C22⋊C8—611no—
1284C22⋊C8—611no—
1285C22⋊C8—611no—
1286C22⋊C8—611no—
1287C22⋊C8—611no—
1288#97—611no—
1289#97—611no—
1290#97—611no—
1291#97—611no—
1292C4×C8—611no—
1293C4×C8—611no—
1294#41—1222no—
1295#41—2442no—
1296#41—2441no—
1297#41—2444no—
1298C2×Q8—611no—
1299C2×Q8—611no—
1300C2×Q8—611no—
1301C2×Q8—1221no—
1302C2×Q8—1221no—
1303C2×Q8—1221no—
1304C2×Q8—1221no—
1305C2×Q8—1221no—
1306C2×Q8—1221no—
1307C2×Q8—1222no—
1308C2×Q8—1221no—
1309C2×Q8—1221no—
1310C2×Q8—1221no—
1311C2×Q8—1222no—
1312C2×Q8—2441no—
1313C2×Q8—2444no—
1314C2×Q8—2441no—
1315C2×Q8C23×D6111yescharacteristic
1316C2×Q8C23×D6111yescharacteristic
1317C2×D4—21no—
1318C2×D4—21no—
1319C2×D4—611no—
1320C2×D4—611no—
1321C2×D4—611no—
1322C2×D4—1221no—
1323C2×D4—1221no—
1324C2×D4—1221no—
1325C2×D4—1221no—
1326C2×D4C23×D6111yescharacteristic
1327C2×D4C23×D6111yescharacteristic
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—611no—
1333C22×C4—611no—
1334C22×C4—611no—
1335C22×C4—611no—
1336C22×C4—1221no—
1337C22×C4—1221no—
1338C22×C4—1221no—
1339C22×C4—1221no—
1340C22×C4—1221no—
1341C22×C4—1221no—
1342C22×C4—1221no—
1343C22×C4—1221no—
1344C22×C4D4×D6111yescharacteristic
1345C22×C4D4×D6111yescharacteristic
1346C22×C4C23×D6111yescharacteristic
1347Q16—41no—
1348Q16—1222no—
1349Q16—2441no—
1350SD16—41no—
1351SD16—41no—
1352SD16—1222no—
1353SD16—2441no—
1354D8—41no—
1355M16—41no—
1356M16—41no—
1357M16—2441no—
1358M16—2441no—
1359C2×C8—611no—
1360C2×C8—611no—
1361C2×C8—611no—
1362C2×C8—611no—
1363C2×C8—2441no—
1364C2×C8—2441no—
1365C2×C8C23×D6111yescharacteristic
1366C2×C8C23×D6111yescharacteristic
1367C2×C8C23×D6111yescharacteristic
1368C2×C8C23×D6111yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
1382C4⋊C4—611no—
1383C4⋊C4—611no—
1384C4⋊C4—611no—
1385C4⋊C4—611no—
1386C4⋊C4—611no—
1387C4⋊C4—611no—
1388C4⋊C4—611no—
1389C4⋊C4—1221no—
1390C4⋊C4—1221no—
1391C4⋊C4—1221no—
1392C4⋊C4—1221no—
1393C4⋊C4—1221no—
1394C4⋊C4—1221no—
1395C4⋊C4—1221no—
1396C4⋊C4—1221no—
1397C4⋊C4—1221no—
1398C4⋊C4—1221no—
1399C4⋊C4—1221no—
1400C4⋊C4—1221no—
1401C4⋊C4—1221no—
1402C4⋊C4—1221no—
1403C4⋊C4—1221no—
1404C4⋊C4—1221no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4C23×D6111yescharacteristic
1421C4⋊C4C23×D6111yescharacteristic
1422C4⋊C4C23×D6111yescharacteristic
1423C4⋊C4C23×D6111yescharacteristic
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—611no—
1435C22⋊C4—611no—
1436C22⋊C4—611no—
1437C22⋊C4—611no—
1438C22⋊C4—611no—
1439C22⋊C4—611no—
1440C22⋊C4—1221no—
1441C22⋊C4—1221no—
1442C22⋊C4—1221no—
1443C22⋊C4—1221no—
1444C22⋊C4—1221no—
1445C22⋊C4—1221no—
1446C22⋊C4—1221no—
1447C22⋊C4—1221no—
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C42—21no—
1461C42—21no—
1462C42—611no—
1463C42—611no—
1464C42—611no—
1465C42—611no—
1466C42—611no—
1467C42—611no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42—1221no—
1477C42—1221no—
1478C42—1221no—
1479C42—1221no—
1480C42—1221no—
1481C42—1221no—
1482C42—1221no—
1483C42—1221no—
1484C42D4×D6111yescharacteristic
1485C42D4×D6111yescharacteristic
1486C42C23×D6111yescharacteristic
1487C42C23×D6111yescharacteristic
1488C23—21no—
1489C23—21no—
1490C23—611no—
1491C23—611no—
1492C23C2×D4×D6111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—21no—
1496Q8—21no—
1497Q8—612no—
1498Q8—1222no—
1499Q8—1221no—
1500Q8—1221no—
1501Q8—1221no—
1502Q8—4881no—
1503Q8—4881no—
1504Q8—4881no—
1505Q8—2442no—
1506Q8—2442no—
1507Q8—2442no—
1508Q8—2442no—
1509Q8—2442no—
1510Q8—2442no—
1511D4—21no—
1512D4—21no—
1513D4—21no—
1514D4—21no—
1515D4—42no—
1516D4—81no—
1517D4—1222no—
1518D4—4881no—
1519D4—4881no—
1520D4—2441no—
1521D4—2441no—
1522D4—2442no—
1523D4—2442no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—42no—
1535C2×C4—42no—
1536C2×C4—611no—
1537C2×C4—611no—
1538C2×C4—611no—
1539C2×C4—611no—
1540C2×C4—611no—
1541C2×C4—611no—
1542C2×C4—1222no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—2441no—
1556C2×C4—2441no—
1557C2×C4—2441no—
1558C2×C4—2442no—
1559C2×C4—2442no—
1560C2×C4—2442no—
1561C2×C4—2442no—
1562C2×C4—2442no—
1563C2×C4—2442no—
1564C2×C4—2442no—
1565C2×C4—2442no—
1566C2×C4C2×D4×D6111yescharacteristic
1567C2×C4C2×D4×D6111yescharacteristic
1568C2×C4C2×D4×D6111yescharacteristic
1569C2×C4C2×D4×D6111yescharacteristic
1570C2×C4C2×D4×D6111yescharacteristic
1571C2×C4C24×D6111yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1221no—
1577C8—1221no—
1578C8—1221no—
1579C8—1221no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—1221no—
1590C22—1221no—
1591C22—1221no—
1592C22—1221no—
1593C22—1221no—
1594C22—1221no—
1595C22C22×D4×D6111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—612no—
1608C4—1221no—
1609C4—1221no—
1610C4—1222no—
1611C4—1221no—
1612C4—1221no—
1613C4—1221no—
1614C4—2441no—
1615C4—2441no—
1616C4—2441no—
1617C4—2441no—
1618C4—2441no—
1619C4—2441no—
1620C4—2441no—
1621C42−1+4×D6111yescharacteristic
1622C4#1684059711yescharacteristic
1623C2—41no—
1624C2—81no—
1625C2—81no—
1626C2—2441no—
1627C2—2441no—
1628C2#2145949411yescharacteristic
1629C2#575×D6111yescharacteristic
1630C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3256C2
socleC22×C61C23×D4
hypercenter#3256D61
hypocenterC61#62124
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3256

Complements

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

NH ≅ G/Ntype
1. #21459834C2semidirect
2. #21459432C2semidirect
3. #21458754C2semidirect
4. #21458735C2semidirect
5. #21458554C2semidirect
6. #21458532C2semidirect
7. #21458409C2semidirect
8. #21458398C2semidirect
9. #21458356C2semidirect
10. #21458344C2semidirect
11. #21458331C2semidirect
12. #21458329C2semidirect
13. #21458108C2semidirect
14. #21458097C2semidirect
15. #21458012C2semidirect
16. #21458000C2semidirect
17. #21457892C2semidirect
18. #21457880C2semidirect
19. #21457217C2semidirect
20. #21457153C2semidirect
21. #21457058C2semidirect
22. #21457055C2semidirect
23. #21456977C2semidirect
24. #21455989C2semidirect
25. #21455986C2semidirect
26. #21455834C2semidirect
27. #21455626C2semidirect
28. #21455622C2semidirect
29. #21455604C2semidirect
30. #21454933C2semidirect
31. C61×#3256C2semidirect
827. #3256D61semidirect
1018. C61#62124semidirect

Maximal subgroups

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

subgroupindex
#214598342
#214594322
#214587542
#214587352
#214585542
#214585322
#214584092
#214583982
#214583562
#214583442
#214583312
#214583292
#214581082
#214580972
#214580122
#214580002
#214578922
#214578802
#214572172
#214571532
#214570582
#214570552
#214569772
#214559892
#214559862
#214558342
#214556262
#214556222
#214556042
#214549332
C61×#32562
#6212461