Finite Group Databasebeta

← #30576880

Subgroups — #30576880

Order 15616.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460466C211yesmaximal, characteristic, complemented
2#21459832C211yesmaximal, characteristic, complemented
3#21458755C211yesmaximal, characteristic, complemented
4#21458724C211yesmaximal, characteristic, complemented
5#21458658C211yesmaximal, characteristic, complemented
6#21458650C211yesmaximal, characteristic, complemented
7#21458359C211yesmaximal, characteristic, complemented
8#21458346C211yesmaximal, characteristic, complemented
9#21458329C211yesmaximal, characteristic, complemented
10#21458325C211yesmaximal, characteristic, complemented
11#21458246C211yesmaximal, characteristic, complemented
12#21458229C211yesmaximal, characteristic, complemented
13#21458012C211yesmaximal, characteristic, complemented
14#21457985C211yesmaximal, characteristic, complemented
15#21457880C211yesmaximal, characteristic, complemented
16#21457876C211yesmaximal, characteristic, complemented
17#21457727C211yesmaximal, characteristic, complemented
18#21457713C211yesmaximal, characteristic, complemented
19#21457286C211yesmaximal, characteristic, complemented
20#21457153C211yesmaximal, characteristic, complemented
21#21457111C211yesmaximal, characteristic, complemented
22#21457099C211yesmaximal, characteristic, complemented
23#21457031C211yesmaximal, characteristic, complemented
24#21456047C211yesmaximal, characteristic, complemented
25#21456042C211yesmaximal, characteristic, complemented
26#21455925C211yesmaximal, characteristic, complemented
27#21455662C211yesmaximal, characteristic, complemented
28#21455656C211yesmaximal, characteristic, complemented
29#21455600C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3262C211yesmaximal, characteristic, complemented
32#16840514—21no—
33#16840509—21no—
34#16840492C2211yescharacteristic
35#16840491C2211yescharacteristic
36#16840486C2211yescharacteristic
37#16840483C2211yescharacteristic
38#16840483C2211yescharacteristic
39#16840481—21no—
40#16840481C2211yescharacteristic
41#16840479—21no—
42#16840479—21no—
43#16840479—21no—
44#16840477C2211yescharacteristic
45#16840476C2211yescharacteristic
46#16840474—21no—
47#16840471C2211yescharacteristic
48#16840464C2211yescharacteristic
49#16840459C2211yescharacteristic
50#16840454C2211yescharacteristic
51#16840453C2211yescharacteristic
52#16840449—21no—
53#16840425C2211yescharacteristic
54#16840420C2211yescharacteristic
55#16840418C2211yescharacteristic
56#16840390C2211yescharacteristic
57#16840389C2211yescharacteristic
58#16840382—21no—
59#16840381—21no—
60#16840381C2211yescharacteristic
61#16840380—21no—
62#16840377C2211yescharacteristic
63#16840376—21no—
64#16840372—21no—
65#16840361—21no—
66#16840317C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840314—21no—
69#16840291C2211yescharacteristic
70#16840290C2211yescharacteristic
71#16840289—21no—
72#16840239C2211yescharacteristic
73#16840238C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840170C2211yescharacteristic
76#16840170C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840166C2211yescharacteristic
80#16840158C2211yescharacteristic
81#16840129C2211yescharacteristic
82#16840129C2211yescharacteristic
83#16840121C2211yescharacteristic
84#16840120C2211yescharacteristic
85#16840116C2211yescharacteristic
86#16840115C2211yescharacteristic
87#16840105C2211yescharacteristic
88#16840105C2211yescharacteristic
89#16840105C2211yescharacteristic
90#16840102C2211yescharacteristic
91#16840101C2211yescharacteristic
92#16840101C2211yescharacteristic
93#16840101C2211yescharacteristic
94#16840100C2211yescharacteristic
95#16840100C2211yescharacteristic
96#16840099C2211yescharacteristic
97#16840090C2211yescharacteristic
98#16840085C2211yescharacteristic
99#16840084C2211yescharacteristic
100#16840084C2211yescharacteristic
101#16840083C2211yescharacteristic
102#16840083C2211yescharacteristic
103#16840078C2211yescharacteristic
104#16840074C2211yescharacteristic
105#16840071C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840070C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840068C2211yescharacteristic
113#16840068C2211yescharacteristic
114#16840062C2211yescharacteristic
115#16840060C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840058C2211yescharacteristic
118#16840058C2211yescharacteristic
119#16840056C2211yescharacteristic
120#16840054C2211yescharacteristic
121#16840052C2211yescharacteristic
122#16840050C2211yescharacteristic
123#16840048C2211yescharacteristic
124#16840048C2211yescharacteristic
125#16840047C2211yescharacteristic
126#16840045C2211yescharacteristic
127#16840045C2211yescharacteristic
128#16840045C2211yescharacteristic
129#16840044C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840019C2211yescharacteristic
132#16840012C2211yescharacteristic
133#16840002C2211yescharacteristic
134#16840000C2211yescharacteristic
135#16839990C2211yescharacteristic
136#16839990C2211yescharacteristic
137#16839988C2211yescharacteristic
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#16839889C2211yescharacteristic
153#16839874C2211yescharacteristic
154#16839867C2211yescharacteristic
155#16839866C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839863C2211yescharacteristic
158#16839863C2211yescharacteristic
159#16839862C2211yescharacteristic
160#16839859C2211yescharacteristic
161Q16×Dic61C2211yescharacteristic
162C4×#11758202C2211yescharacteristic
163#16839853C2211yescharacteristic
164C4×#11758200C2211yescharacteristic
165#16839833C2211yescharacteristic
166#16839832C2211yescharacteristic
167#16839831C2211yescharacteristic
168#16839831C2211yescharacteristic
169#16839827C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839823C2211yescharacteristic
172#16839822C2211yescharacteristic
173#16839818C2211yescharacteristic
174#16839804C2211yescharacteristic
175#16839803C2211yescharacteristic
176#16839800C2211yescharacteristic
177#16839799C2211yescharacteristic
178#16839799C2211yescharacteristic
179#16839799C2211yescharacteristic
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839772C2211yescharacteristic
183#16839769C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186C2×#14519702C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#542C2211yescharacteristic
190C61×#477C2211yescharacteristic
191C61×#477C2211yescharacteristic
192C61×#474C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#468C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#467C2211yescharacteristic
197C61×#466C2211yescharacteristic
198C61×#464C2211yescharacteristic
199C61×#464C2211yescharacteristic
200C61×#463C2211yescharacteristic
201C61×#463C2211yescharacteristic
202C61×#424C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C22×Dic122C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×#11758202C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758200C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758189C2311yescharacteristic
211C2×C8×D61C2311yescharacteristic
212C2×C8×D61C2311yescharacteristic
213C2×C8×D61C2311yescharacteristic
214#14519777—21no—
215#14519777C2311yescharacteristic
216#14519777C2311yescharacteristic
217#14519776—21no—
218#14519776—21no—
219#14519776—21no—
220#14519776C2311yescharacteristic
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519775—21no—
224#14519775—21no—
225#14519775—21no—
226#14519775C2311yescharacteristic
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772D411yescharacteristic
233#14519771—21no—
234#14519770—21no—
235#14519770—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770D411yescharacteristic
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519768—21no—
247#14519768—21no—
248#14519768—21no—
249#14519768—21no—
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519768C2311yescharacteristic
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767D411yescharacteristic
257#14519766—21no—
258#14519764—21no—
259#14519764C2311yescharacteristic
260#14519763—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763D411yescharacteristic
270#14519762—21no—
271#14519762D411yescharacteristic
272#14519761—21no—
273#14519761—21no—
274#14519761—21no—
275#14519760—21no—
276#14519759—21no—
277#14519759D411yescharacteristic
278#14519758—21no—
279#14519757—21no—
280#14519757C2311yescharacteristic
281#14519757C2311yescharacteristic
282#14519756—21no—
283#14519756—21no—
284#14519755—21no—
285#14519755—21no—
286#14519755—21no—
287#14519755D411yescharacteristic
288#14519754—21no—
289#14519754—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519754—21no—
296#14519754—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519753C2311yescharacteristic
302#14519751—21no—
303#14519750—21no—
304#14519750D411yescharacteristic
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519748—21no—
309#14519748C2311yescharacteristic
310#14519748C2311yescharacteristic
311#14519748C2311yescharacteristic
312Q8×Dic61—21no—
313Q8×Dic61—21no—
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317C4×Dic122—21no—
318C4×Dic122—21no—
319C4×Dic122—21no—
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325#14519742—21no—
326#14519742—21no—
327#14519742—21no—
328#14519742—21no—
329#14519742—21no—
330#14519742—21no—
331#14519742—21no—
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334C4×D244C2311yescharacteristic
335D4×Dic61—21no—
336D4×Dic61—21no—
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339D4×Dic61C2311yescharacteristic
340C4×C22⋊D61—21no—
341C4×C22⋊D61C2311yescharacteristic
342C4×C22⋊D61C2311yescharacteristic
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519736—21no—
349#14519736C2311yescharacteristic
350#14519736C2311yescharacteristic
351#14519735—21no—
352#14519735C2311yescharacteristic
353#14519735C2311yescharacteristic
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519734—21no—
358#14519734—21no—
359#14519734—21no—
360#14519734C2311yescharacteristic
361#14519733—21no—
362#14519733—21no—
363#14519733—21no—
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368C2×C4⋊Dic61C2311yescharacteristic
369C2×#11758196—21no—
370C4⋊C4×D61C2311yescharacteristic
371C2×C4×Dic61—21no—
372C42×D61C2311yescharacteristic
373#14519711C2311yescharacteristic
374#14519711C2311yescharacteristic
375#14519711C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519710C2311yescharacteristic
378#14519710C2311yescharacteristic
379#14519710C2311yescharacteristic
380#14519710C2311yescharacteristic
381#14519709C2311yescharacteristic
382#14519709C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
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#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#126×C61—21no—
445#124×C61—21no—
446#124×C61—21no—
447#124×C61C2311yescharacteristic
448#124×C61C2311yescharacteristic
449#123×C61—21no—
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61—21no—
453C22⋊Q8×C61C2311yescharacteristic
454C22⋊Q8×C61C2311yescharacteristic
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461#117×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×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×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
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—
505C2×D244C2×D411yescharacteristic
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61C2×D411yescharacteristic
509C2×C4×D61C2×D411yescharacteristic
510C2×C4×D61C2411yescharacteristic
511C2×C4×D61C2411yescharacteristic
512C2×Dic122—22no—
513C2×Dic122—21no—
514C2×Dic122—21no—
515C2×Dic122—21no—
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—41no—
521C2×Dic122C2×D411yescharacteristic
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524Q16×C61—41no—
525SD16×C61—41no—
526SD16×C61—41no—
527D8×C61—41no—
528M16×C61—41no—
529C2×C8×C61—41no—
530C2×C8×C61C2411yescharacteristic
531C2×C8×C61C2411yescharacteristic
532C2×C8×C61C2411yescharacteristic
533C2×C8×C61C2411yescharacteristic
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61—21no—
539C4⋊C4×C61—21no—
540C4⋊C4×C61C2×D411yescharacteristic
541C4⋊C4×C61C2×D411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C4⋊C4×C61C2411yescharacteristic
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C22⋊C4×C61—21no—
552C22⋊C4×C61—21no—
553C22⋊C4×C61—21no—
554C22⋊C4×C61—21no—
555C22⋊C4×C61—21no—
556C22⋊C4×C61C2×D411yescharacteristic
557C22⋊C4×C61C2×D411yescharacteristic
558C42×C61—21no—
559C42×C61—21no—
560C42×C61C2411yescharacteristic
561C42×C61C2411yescharacteristic
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61—21no—
569C22⋊Dic61—21no—
570C22⋊Dic61—21no—
571C22⋊Dic61—21no—
572C22⋊Dic61C2×D411yescharacteristic
573C22⋊Dic61C2×D411yescharacteristic
574#11758202—22no—
575#11758202—41no—
576#11758200—22no—
577#11758200—41no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198—21no—
583#11758198—21no—
584#11758198—21no—
585#11758198—21no—
586#11758198—21no—
587#11758198—21no—
588#11758198C2×D411yescharacteristic
589#11758198C2×D411yescharacteristic
590#11758198C2×D411yescharacteristic
591#11758198C2×D411yescharacteristic
592#11758198C2×D411yescharacteristic
593#11758198C2×D411yescharacteristic
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61—21no—
601C4⋊Dic61—21no—
602C4⋊Dic61—21no—
603C4⋊Dic61—21no—
604C4⋊Dic61—21no—
605C4⋊Dic61C2×D411yescharacteristic
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613#11758196—21no—
614#11758196—21no—
615#11758196—21no—
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#11758196C2×D411yescharacteristic
636#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641C4×Dic61—21no—
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×Dic61C2×D411yescharacteristic
658C4×Dic61C2×D411yescharacteristic
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665#11758189—41no—
666C8×D61—41no—
667C8×D61—41no—
668C8×D61—41no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61C22×D411yescharacteristic
672C22×D61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—21no—
677Q8×C61—21no—
678Q8×C61—81no—
679Q8×C61—81no—
680D4×C61—21no—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—21no—
684D4×C61—81no—
685D4×C61—81no—
686C2×C4×C61—21no—
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—81no—
695C2×C4×C61—81no—
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C2511yescharacteristic
702C22⋊D61—41no—
703C22⋊D61—41no—
704C22⋊D61—42no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—42no—
717C2×Dic61—42no—
718C2×Dic61—42no—
719C2×Dic61—81no—
720C2×Dic61—81no—
721C2×Dic61—81no—
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726C2×Dic61C22×D411yescharacteristic
727C2×Dic61C22×D411yescharacteristic
728D244—41no—
729C4×D61—21no—
730C4×D61—21no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—41no—
734C4×D61—41no—
735C4×D61—42no—
736C4×D61—81no—
737Dic122—21no—
738Dic122—21no—
739Dic122—21no—
740Dic122—41no—
741Dic122—42no—
742Dic122—42no—
743Dic122—81no—
744Dic122—81no—
745Dic122—81no—
746Dic122—81no—
747Dic122—81no—
748Dic1222−1+412yes—
749C8×C61—21no—
750C8×C61—21no—
751C8×C61—21no—
752C8×C61—21no—
753#92418—21no—
754#92418—21no—
755#92418—21no—
756#92418—21no—
757#62161—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61—41no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61C23×D411yescharacteristic
768C2×D61—21no—
769C2×D61—21no—
770C2×D61—21no—
771C2×D61—21no—
772C2×D61—21no—
773C2×D61—21no—
774C4×C61—21no—
775C4×C61—21no—
776C4×C61—21no—
777C4×C61—21no—
778C4×C61—21no—
779C4×C61—41no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61C2×2−1+411yescharacteristic
786C4×C61#58511yescharacteristic
787Dic61—21no—
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—22no—
792Dic61—21no—
793Dic61—21no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3565—611no—
802#3518—611no—
803#3387—611no—
804#3385—611no—
805#3377—611no—
806#3376—611no—
807#3350—611no—
808#3349—611no—
809#3348—611no—
810#3347—611no—
811#3342—611no—
812#3340—611no—
813#3321—611no—
814#3320—611no—
815#3313—611no—
816#3312—611no—
817#3301—611no—
818#3300—611no—
819#3263—611no—
820#3262D6111yescharacteristic, complemented
821#3248—611no—
822#3244—611no—
823#3243—611no—
824#3237—611no—
825#3121—611no—
826#3121—611no—
827#3111—611no—
828#3082—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61—41no—
833C2×C61—81no—
834C2×C61—81no—
835C2×C61#348911yescharacteristic
836C2×C61#358411yescharacteristic
837C2×C61#358611yescharacteristic
838D61—41no—
839D61—41no—
840#563—1221no—
841#562—1221no—
842Q82—611no—
843#557—611no—
844#556—611no—
845#556—611no—
846#556—611no—
847#556—611no—
848#556—1221no—
849#556—1221no—
850#556—1221no—
851#556—1221no—
852#555—611no—
853#555—611no—
854#555—1221no—
855#554—611no—
856#553—611no—
857#553—611no—
858#552—611no—
859#552—611no—
860#552—1221no—
861D4×Q8—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544—611no—
866#542—611no—
867#542—611no—
868#542—1221no—
869#542—1221no—
870#542—1221no—
871#542—1221no—
872#542C2×D6111yescharacteristic
873#542C2×D6111yescharacteristic
874#541—1221no—
875#539—1221no—
876#533—611no—
877#533—611no—
878#533—1221no—
879#529—611no—
880#529—611no—
881#529—1221no—
882#519—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#501—611no—
889#500—611no—
890#498—611no—
891#491—611no—
892#491—611no—
893#489—611no—
894#489—611no—
895#488—611no—
896#488—611no—
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485—611no—
904#485—611no—
905#485—611no—
906#484—611no—
907#483—611no—
908#482—611no—
909#482—611no—
910#482—611no—
911#482—611no—
912#482—611no—
913#481—611no—
914#480—611no—
915#479—611no—
916#479—611no—
917#479—611no—
918#479—611no—
919#479—611no—
920#479—611no—
921#479—611no—
922#479—611no—
923#479—611no—
924#478—611no—
925#478—611no—
926#478—611no—
927#477—611no—
928#477—611no—
929#477—611no—
930#477—611no—
931#477C2×D6111yescharacteristic
932#477C2×D6111yescharacteristic
933#476—611no—
934#476—611no—
935#475—611no—
936#475—611no—
937#475—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475—611no—
942#474—611no—
943#474C2×D6111yescharacteristic
944#474C2×D6111yescharacteristic
945#470—611no—
946#469—611no—
947#468C2×D6111yescharacteristic
948#468C2×D6111yescharacteristic
949#467—611no—
950#467—611no—
951#467C2×D6111yescharacteristic
952#466C2×D6111yescharacteristic
953#465—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#464—611no—
958#464—611no—
959#464—611no—
960#464C2×D6111yescharacteristic
961#464C2×D6111yescharacteristic
962#463—611no—
963#463C2×D6111yescharacteristic
964#463C2×D6111yescharacteristic
965#462—611no—
966#461—611no—
967#452—611no—
968#451—611no—
969#451—611no—
970#449—611no—
971#448—611no—
972#448—611no—
973#446—611no—
974#446—611no—
975#442—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#440—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×SD16—611no—
986C4×SD16—611no—
987#435—611no—
988#435—611no—
989#435—611no—
990#435—611no—
991C8×D4—611no—
992C8×D4—611no—
993#433—611no—
994#433—611no—
995#432—611no—
996#428—611no—
997#428—611no—
998#427—611no—
999#427—611no—
1000#427—611no—
1001#427—611no—
1002#424—611no—
1003#424C2×D6111yescharacteristic
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#419—611no—
1007#416—611no—
1008#416—611no—
1009C2×#103—611no—
1010C2×#103—611no—
1011C61#6216111yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C22×Q8—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16C22×D6111yescharacteristic
1018C2×SD16—611no—
1019C2×SD16—611no—
1020C2×SD16C22×D6111yescharacteristic
1021C2×SD16C22×D6111yescharacteristic
1022C2×D8C22×D6111yescharacteristic
1023C2×M16—611no—
1024C2×M16C22×D6111yescharacteristic
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8—611no—
1028C22×C8C22×D6111yescharacteristic
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8—1221no—
1042C4⋊Q8C22×D6111yescharacteristic
1043C4⋊Q8C22×D6111yescharacteristic
1044#126—21no—
1045#126—21no—
1046#126—611no—
1047#126—611no—
1048#126—1221no—
1049#126—1221no—
1050#126—1221no—
1051#126—1221no—
1052#126—1221no—
1053#126—1221no—
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#125—611no—
1064#125—611no—
1065#125—611no—
1066#125—611no—
1067#125—611no—
1068#125—611no—
1069#125—1221no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#124—21no—
1077#124—21no—
1078#124—611no—
1079#124—611no—
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#124—1221no—
1090#124—1221no—
1091#124C22×D6111yescharacteristic
1092#124C22×D6111yescharacteristic
1093#123—21no—
1094#123—21no—
1095#123—611no—
1096#123—611no—
1097#123—1221no—
1098#123—1221no—
1099#123—1221no—
1100#123—1221no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—611no—
1107C22⋊Q8—611no—
1108C22⋊Q8—611no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
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⋊Q8—1221no—
1122C22⋊Q8—1221no—
1123C22⋊Q8—1221no—
1124C22⋊Q8—1221no—
1125C22⋊Q8—1221no—
1126C22⋊Q8—1221no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8C22×D6111yescharacteristic
1130C22⋊Q8C22×D6111yescharacteristic
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—611no—
1135#121—1221no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121C22×D6111yescharacteristic
1142#121C22×D6111yescharacteristic
1143C4×Q8—611no—
1144C4×Q8—611no—
1145C4×Q8—611no—
1146C4×Q8—611no—
1147C4×Q8—611no—
1148C4×Q8—611no—
1149C4×Q8—611no—
1150C4×Q8—611no—
1151C4×Q8—611no—
1152C4×Q8—611no—
1153C4×Q8—1221no—
1154C4×Q8—1221no—
1155C4×Q8—1221no—
1156C4×Q8—1221no—
1157C4×Q8—1221no—
1158C4×Q8—1221no—
1159C4×Q8—1221no—
1160C4×Q8—1221no—
1161C4×Q8—1221no—
1162C4×Q8—1221no—
1163C4×Q8—1221no—
1164C4×Q8—1221no—
1165C4×Q8C22×D6111yescharacteristic
1166C4×Q8C22×D6111yescharacteristic
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—611no—
1184#117—611no—
1185#117—611no—
1186#117—611no—
1187#117—611no—
1188#117—611no—
1189#117—611no—
1190#117—611no—
1191#117—1221no—
1192#117—1221no—
1193#117—1221no—
1194#117—1221no—
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#117C22×D6111yescharacteristic
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—1221no—
1207C2×C42—611no—
1208C2×C42—1221no—
1209#107—611no—
1210#107—611no—
1211#107—611no—
1212#107—611no—
1213#107—611no—
1214#107—611no—
1215#107—611no—
1216#107—611no—
1217#107C22×D6111yescharacteristic
1218#107C22×D6111yescharacteristic
1219#107C22×D6111yescharacteristic
1220#107C22×D6111yescharacteristic
1221#106—611no—
1222#106—611no—
1223#106—611no—
1224#106—611no—
1225#106—611no—
1226#106—611no—
1227#106—611no—
1228#106—611no—
1229#106—611no—
1230#106—611no—
1231#106—611no—
1232#106—611no—
1233C4⋊C8—611no—
1234C4⋊C8—611no—
1235C4⋊C8—611no—
1236C4⋊C8—611no—
1237C4⋊C8—611no—
1238C4⋊C8—611no—
1239C4⋊C8C22×D6111yescharacteristic
1240C4⋊C8C22×D6111yescharacteristic
1241C4⋊C8C22×D6111yescharacteristic
1242C4⋊C8C22×D6111yescharacteristic
1243#103—611no—
1244#103—611no—
1245#103—611no—
1246#103—611no—
1247#103—611no—
1248#103—611no—
1249#103—611no—
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#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#103C22×D6111yescharacteristic
1264#103C22×D6111yescharacteristic
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102—611no—
1270#102—611no—
1271#102C22×D6111yescharacteristic
1272#102C22×D6111yescharacteristic
1273#102C22×D6111yescharacteristic
1274#102C22×D6111yescharacteristic
1275C22⋊C8—611no—
1276C22⋊C8—611no—
1277C22⋊C8—611no—
1278C22⋊C8—611no—
1279C22⋊C8—611no—
1280C22⋊C8—611no—
1281#97—611no—
1282#97—611no—
1283#97—611no—
1284#97—611no—
1285C4×C8—611no—
1286C4×C8—611no—
1287#41—1222no—
1288#41—2441no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—611no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1222no—
1299C2×Q8—1221no—
1300C2×Q8—1221no—
1301C2×Q8—1221no—
1302C2×Q8—1222no—
1303C2×Q8—2441no—
1304C2×Q8—2441no—
1305C2×Q8C23×D6111yescharacteristic
1306C2×Q8C23×D6111yescharacteristic
1307C2×D4—21no—
1308C2×D4—21no—
1309C2×D4—611no—
1310C2×D4—611no—
1311C2×D4—611no—
1312C2×D4—1221no—
1313C2×D4—1221no—
1314C2×D4—1221no—
1315C2×D4—1221no—
1316C2×D4C23×D6111yescharacteristic
1317C2×D4C23×D6111yescharacteristic
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4C23×D6111yescharacteristic
1333Q16—41no—
1334Q16—1222no—
1335Q16—2441no—
1336SD16—41no—
1337SD16—41no—
1338SD16—1222no—
1339SD16—2441no—
1340D8—41no—
1341M16—41no—
1342M16—2441no—
1343C2×C8—41no—
1344C2×C8—611no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—611no—
1348C2×C8—2441no—
1349C2×C8—2441no—
1350C2×C8—2441no—
1351C2×C8C23×D6111yescharacteristic
1352C2×C8C23×D6111yescharacteristic
1353C2×C8C23×D6111yescharacteristic
1354C2×C8C23×D6111yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—611no—
1362C4⋊C4—611no—
1363C4⋊C4—611no—
1364C4⋊C4—611no—
1365C4⋊C4—611no—
1366C4⋊C4—611no—
1367C4⋊C4—611no—
1368C4⋊C4—611no—
1369C4⋊C4—611no—
1370C4⋊C4—611no—
1371C4⋊C4—611no—
1372C4⋊C4—611no—
1373C4⋊C4—611no—
1374C4⋊C4—611no—
1375C4⋊C4—1221no—
1376C4⋊C4—1221no—
1377C4⋊C4—1221no—
1378C4⋊C4—1221no—
1379C4⋊C4—1221no—
1380C4⋊C4—1221no—
1381C4⋊C4—1221no—
1382C4⋊C4—1221no—
1383C4⋊C4—1221no—
1384C4⋊C4—1221no—
1385C4⋊C4—1221no—
1386C4⋊C4—1221no—
1387C4⋊C4—1221no—
1388C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1409C4⋊C4D4×D6111yescharacteristic
1410C4⋊C4C23×D6111yescharacteristic
1411C4⋊C4C23×D6111yescharacteristic
1412C4⋊C4C23×D6111yescharacteristic
1413C4⋊C4C23×D6111yescharacteristic
1414C22⋊C4—21no—
1415C22⋊C4—21no—
1416C22⋊C4—21no—
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—611no—
1425C22⋊C4—611no—
1426C22⋊C4—611no—
1427C22⋊C4—611no—
1428C22⋊C4—611no—
1429C22⋊C4—611no—
1430C22⋊C4—611no—
1431C22⋊C4—611no—
1432C22⋊C4—1221no—
1433C22⋊C4—1221no—
1434C22⋊C4—1221no—
1435C22⋊C4—1221no—
1436C22⋊C4—1221no—
1437C22⋊C4—1221no—
1438C22⋊C4—1221no—
1439C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1453C22⋊C4D4×D6111yescharacteristic
1454C42—21no—
1455C42—21no—
1456C42—611no—
1457C42—611no—
1458C42—611no—
1459C42—611no—
1460C42—1221no—
1461C42—1221no—
1462C42—1221no—
1463C42—1221no—
1464C42—1221no—
1465C42—1221no—
1466C42—1221no—
1467C42—1221no—
1468C42—1221no—
1469C42—1221no—
1470C42—1221no—
1471C42—1221no—
1472C42—1221no—
1473C42—1221no—
1474C42—1221no—
1475C42—1221no—
1476C42C23×D6111yescharacteristic
1477C42C23×D6111yescharacteristic
1478C23—21no—
1479C23—21no—
1480C23—611no—
1481C23—611no—
1482C23C2×D4×D6111yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—81no—
1488Q8—81no—
1489Q8—612no—
1490Q8—1221no—
1491Q8—1221no—
1492Q8—1221no—
1493Q8—4881no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—4881no—
1498Q8—2441no—
1499Q8—2442no—
1500Q8—2442no—
1501D4—21no—
1502D4—21no—
1503D4—21no—
1504D4—21no—
1505D4—81no—
1506D4—81no—
1507D4—4881no—
1508D4—4881no—
1509D4—4881no—
1510D4—2441no—
1511D4—2441no—
1512D4—2441no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—1221no—
1531C2×C4—1221no—
1532C2×C4—1221no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—4881no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—2441no—
1547C2×C4—2441no—
1548C2×C4—2442no—
1549C2×C4—2442no—
1550C2×C4—2442no—
1551C2×C4—2442no—
1552C2×C4C2×D4×D6111yescharacteristic
1553C2×C4C2×D4×D6111yescharacteristic
1554C2×C4C2×D4×D6111yescharacteristic
1555C2×C4C2×D4×D6111yescharacteristic
1556C2×C4C2×D4×D6111yescharacteristic
1557C2×C4C24×D6111yescharacteristic
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—21no—
1562C8—1221no—
1563C8—1221no—
1564C8—1221no—
1565C8—1221no—
1566C22—21no—
1567C22—21no—
1568C22—21no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—1221no—
1576C22—1221no—
1577C22—1221no—
1578C22—1221no—
1579C22—1221no—
1580C22—1221no—
1581C22C22×D4×D6111yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—1221no—
1594C4—1221no—
1595C4—1222no—
1596C4—1221no—
1597C4—1221no—
1598C4—1221no—
1599C4—1221no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059711yescharacteristic
1609C2—41no—
1610C2—81no—
1611C2—81no—
1612C2—2441no—
1613C2—2441no—
1614C2#2145949411yescharacteristic
1615C2#2146058711yescharacteristic
1616C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3262C2
socleC22×C61C23×D4
hypercenter#3262D61
hypocenterC61#62161
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #21460466C2semidirect
2. #21459832C2semidirect
3. #21458755C2semidirect
4. #21458724C2semidirect
5. #21458658C2semidirect
6. #21458650C2semidirect
7. #21458359C2semidirect
8. #21458346C2semidirect
9. #21458329C2semidirect
10. #21458325C2semidirect
11. #21458246C2semidirect
12. #21458229C2semidirect
13. #21458012C2semidirect
14. #21457985C2semidirect
15. #21457880C2semidirect
16. #21457876C2semidirect
17. #21457727C2semidirect
18. #21457713C2semidirect
19. #21457286C2semidirect
20. #21457153C2semidirect
21. #21457111C2semidirect
22. #21457099C2semidirect
23. #21457031C2semidirect
24. #21456047C2semidirect
25. #21456042C2semidirect
26. #21455925C2semidirect
27. #21455662C2semidirect
28. #21455656C2semidirect
29. #21455600C2semidirect
30. #21454956C2semidirect
31. C61×#3262C2semidirect
820. #3262D61semidirect
1011. C61#62161semidirect

Maximal subgroups

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

subgroupindex
#214604662
#214598322
#214587552
#214587242
#214586582
#214586502
#214583592
#214583462
#214583292
#214583252
#214582462
#214582292
#214580122
#214579852
#214578802
#214578762
#214577272
#214577132
#214572862
#214571532
#214571112
#214570992
#214570312
#214560472
#214560422
#214559252
#214556622
#214556562
#214556002
#214549562
C61×#32622
#6216161