Finite Group Databasebeta

← #30577212

Subgroups — #30577212

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#21460308C211yesmaximal, characteristic, complemented
2#21459923C211yesmaximal, characteristic
3#21458788C211yesmaximal, characteristic, complemented
4#21458747C211yesmaximal, characteristic, complemented
5#21458581C211yesmaximal, characteristic, complemented
6#21458369C211yesmaximal, characteristic, complemented
7#21458346C211yesmaximal, characteristic, complemented
8#21458339C211yesmaximal, characteristic, complemented
9#21458301C211yesmaximal, characteristic, complemented
10#21458229C211yesmaximal, characteristic, complemented
11#21458189C211yesmaximal, characteristic, complemented
12#21457952C211yesmaximal, characteristic, complemented
13#21457929C211yesmaximal, characteristic, complemented
14#21457892C211yesmaximal, characteristic, complemented
15#21457884C211yesmaximal, characteristic, complemented
16#21457757C211yesmaximal, characteristic, complemented
17#21457713C211yesmaximal, characteristic, complemented
18#21457263C211yesmaximal, characteristic, complemented
19#21457250C211yesmaximal, characteristic, complemented
20#21457153C211yesmaximal, characteristic, complemented
21#21457112C211yesmaximal, characteristic, complemented
22#21457065C211yesmaximal, characteristic, complemented
23#21457054C211yesmaximal, characteristic, complemented
24#21456116C211yesmaximal, characteristic, complemented
25#21456037C211yesmaximal, characteristic, complemented
26#21455977C211yesmaximal, characteristic, complemented
27#21455665C211yesmaximal, characteristic, complemented
28#21455656C211yesmaximal, characteristic, complemented
29#21455600C211yesmaximal, characteristic, complemented
30#21454957C211yesmaximal, characteristic, complemented
31C61×#3375C211yesmaximal, characteristic, complemented
32#16840511—21no—
33#16840511—21no—
34#16840496—21no—
35#16840490C2211yescharacteristic
36#16840490C2211yescharacteristic
37#16840487—21no—
38#16840486C2211yescharacteristic
39#16840486C2211yescharacteristic
40#16840485C2211yescharacteristic
41#16840484—21no—
42#16840477C2211yescharacteristic
43#16840474—21no—
44#16840473C2211yescharacteristic
45#16840462C2211yescharacteristic
46#16840461—21no—
47#16840453C2211yescharacteristic
48#16840453C2211yescharacteristic
49#16840453C2211yescharacteristic
50#16840449—21no—
51#16840432C2211yescharacteristic
52#16840420C2211yescharacteristic
53#16840420C2211yescharacteristic
54#16840389C2211yescharacteristic
55#16840389C2211yescharacteristic
56#16840386—21no—
57#16840381C2211yescharacteristic
58#16840376—21no—
59#16840373—21no—
60#16840373—21no—
61#16840370—21no—
62#16840370C2211yescharacteristic
63#16840370C2211yescharacteristic
64#16840366C2211yescharacteristic
65#16840364—21no—
66#16840317C2211yescharacteristic
67#16840316C2211yescharacteristic
68#16840299C2211yescharacteristic
69#16840292—21no—
70#16840291C2211yescharacteristic
71#16840289—21no—
72#16840241C2211yescharacteristic
73#16840238C2211yescharacteristic
74C4×#11758224C2211yescharacteristic
75#16840171C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840168C2211yescharacteristic
78#16840168C2211yescharacteristic
79#16840164C2211yescharacteristic
80#16840158C2211yescharacteristic
81#16840126C2211yescharacteristic
82#16840121C2211yescharacteristic
83#16840116C2211yescharacteristic
84#16840105C2211yescharacteristic
85#16840105C2211yescharacteristic
86#16840102C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840101C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840101C2211yescharacteristic
91#16840099C2211yescharacteristic
92#16840091C2211yescharacteristic
93#16840091C2211yescharacteristic
94#16840085C2211yescharacteristic
95#16840084C2211yescharacteristic
96#16840084C2211yescharacteristic
97#16840084C2211yescharacteristic
98#16840084C2211yescharacteristic
99#16840079C2211yescharacteristic
100#16840079C2211yescharacteristic
101#16840074C2211yescharacteristic
102#16840071C2211yescharacteristic
103#16840071C2211yescharacteristic
104#16840070C2211yescharacteristic
105#16840070C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840069C2211yescharacteristic
109#16840069C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840068C2211yescharacteristic
113#16840064C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840062C2211yescharacteristic
116#16840060C2211yescharacteristic
117#16840060C2211yescharacteristic
118#16840058C2211yescharacteristic
119#16840058C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840054C2211yescharacteristic
122#16840052C2211yescharacteristic
123#16840050C2211yescharacteristic
124#16840047C2211yescharacteristic
125#16840045C2211yescharacteristic
126#16840044C2211yescharacteristic
127#16840044C2211yescharacteristic
128#16840040C2211yescharacteristic
129#16840019C2211yescharacteristic
130#16840007C2211yescharacteristic
131#16840005C2211yescharacteristic
132#16840005C2211yescharacteristic
133#16840002C2211yescharacteristic
134#16840000C2211yescharacteristic
135#16840000C2211yescharacteristic
136#16839990C2211yescharacteristic
137#16839990C2211yescharacteristic
138#16839990C2211yescharacteristic
139#16839988C2211yescharacteristic
140#16839988C2211yescharacteristic
141#16839981C2211yescharacteristic
142#16839981C2211yescharacteristic
143#16839971C2211yescharacteristic
144#16839970C2211yescharacteristic
145#16839965C2211yescharacteristic
146#16839965C2211yescharacteristic
147#16839959C2211yescharacteristic
148#16839925C2211yescharacteristic
149#16839925C2211yescharacteristic
150#16839921C2211yescharacteristic
151#16839921C2211yescharacteristic
152#16839919C2211yescharacteristic
153#16839916C2211yescharacteristic
154#16839893C2211yescharacteristic
155#16839870C2211yescharacteristic
156#16839870C2211yescharacteristic
157#16839867C2211yescharacteristic
158#16839867C2211yescharacteristic
159#16839867C2211yescharacteristic
160#16839862C2211yescharacteristic
161C4×Dic244C2211yescharacteristic
162C4×#11758202C2211yescharacteristic
163C4×#11758200C2211yescharacteristic
164#16839835C2211yescharacteristic
165#16839835C2211yescharacteristic
166#16839832C2211yescharacteristic
167#16839832C2211yescharacteristic
168C8×D244C2211yescharacteristic
169#16839827C2211yescharacteristic
170#16839824C2211yescharacteristic
171#16839821C2211yescharacteristic
172#16839817C2211yescharacteristic
173#16839803C2211yescharacteristic
174#16839803C2211yescharacteristic
175#16839799C2211yescharacteristic
176#16839799C2211yescharacteristic
177#16839799C2211yescharacteristic
178#107×D61C2211yescharacteristic
179#16839787C2211yescharacteristic
180#16839787C2211yescharacteristic
181C4⋊C8×D61C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839760C2211yescharacteristic
184#16839755C2211yescharacteristic
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#559C2211yescharacteristic
189Q82×C61C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#489C2211yescharacteristic
192C61×#486C2211yescharacteristic
193C61×#477C2211yescharacteristic
194C61×#474C2211yescharacteristic
195C61×#474C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#464C2211yescharacteristic
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C4×Q16×C61C2211yescharacteristic
203C2×#11758224C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Dic244C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758202C2311yescharacteristic
209C2×#11758200C2311yescharacteristic
210C2×#11758200C2311yescharacteristic
211C2×#11758189C2311yescharacteristic
212C2×#11758189C2311yescharacteristic
213C2×C8×D61C2311yescharacteristic
214C2×C8×D61C2311yescharacteristic
215C2×C8×D61C2311yescharacteristic
216C2×C8×D61C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519776C2311yescharacteristic
220#14519775—21no—
221#14519775—21no—
222#14519775—21no—
223#14519775—21no—
224#14519775C2311yescharacteristic
225#14519773—21no—
226#14519772—21no—
227#14519772—21no—
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772D411yescharacteristic
235#14519772D411yescharacteristic
236#14519771—21no—
237#14519771—21no—
238#14519771—21no—
239#14519771—21no—
240#14519771—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519769—21no—
245#14519769—21no—
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519769C2311yescharacteristic
250#14519768—21no—
251#14519768D411yescharacteristic
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519766—21no—
267#14519766—21no—
268#14519766D411yescharacteristic
269#14519765—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519762—21no—
276#14519762—21no—
277#14519762—21no—
278#14519762D411yescharacteristic
279#14519762D411yescharacteristic
280#14519761—21no—
281#14519760—21no—
282#14519759—21no—
283#14519758—21no—
284#14519758—21no—
285#14519757—21no—
286#14519757C2311yescharacteristic
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519755—21no—
290#14519755—21no—
291#14519755—21no—
292#14519754—21no—
293#14519754—21no—
294#14519754—21no—
295#14519753—21no—
296#14519753—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753—21no—
300#14519753D411yescharacteristic
301#14519753C2311yescharacteristic
302#14519753C2311yescharacteristic
303#14519753C2311yescharacteristic
304#14519753C2311yescharacteristic
305#14519753C2311yescharacteristic
306#14519752D411yescharacteristic
307#14519751—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519748C2311yescharacteristic
316#14519748C2311yescharacteristic
317#14519748C2311yescharacteristic
318#14519748C2311yescharacteristic
319Q8×Dic61—21no—
320Q8×Dic61—21no—
321Q8×Dic61—21no—
322Q8×Dic61C2311yescharacteristic
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742C2311yescharacteristic
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61—21no—
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519736—21no—
353#14519735—21no—
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519735C2311yescharacteristic
359#14519735C2311yescharacteristic
360#14519734—21no—
361#14519734—21no—
362#14519734—21no—
363#14519734—21no—
364#14519734—21no—
365#14519734C2311yescharacteristic
366#14519734C2311yescharacteristic
367#14519733—21no—
368#14519733—21no—
369#14519733—21no—
370C2×#11758196—21no—
371C4⋊C4×D61C2311yescharacteristic
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C2×C4×Dic61—21no—
375C42×D61C2311yescharacteristic
376#14519711C2311yescharacteristic
377#14519711C2311yescharacteristic
378#14519711C2311yescharacteristic
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519710C2311yescharacteristic
384#14519710C2311yescharacteristic
385#14519709C2311yescharacteristic
386#14519709C2311yescharacteristic
387#14519709C2311yescharacteristic
388#14519709C2311yescharacteristic
389#14519708C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399C4⋊#92418C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519688C2311yescharacteristic
433#14519688C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×SD16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C4⋊Q8×C61—21no—
439C4⋊Q8×C61—21no—
440C4⋊Q8×C61—21no—
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#127×C61C2311yescharacteristic
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#124×C61C2311yescharacteristic
448#123×C61—21no—
449#123×C61—21no—
450C4×Q8×C61—21no—
451C4×Q8×C61C2311yescharacteristic
452C4×Q8×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#107×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465#103×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61—21no—
480C2×Q8×C61—21no—
481C2×Q8×C61C2×D411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61C2411yescharacteristic
487C2×D4×C61C2411yescharacteristic
488C22×C4×C61—21no—
489C22×C4×C61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C22×Dic61—21no—
497C22×Dic61—21no—
498C22×Dic61—21no—
499C22×Dic61—21no—
500Q8×D61—22no—
501Q8×D61—41no—
502#11758224—22no—
503#11758224—22no—
504#11758224—41no—
505#11758224—41no—
506C2×D244C2×D411yescharacteristic
507C2×D244C2×D411yescharacteristic
508C2×D244C2×D411yescharacteristic
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61C2×D411yescharacteristic
514C2×C4×D61C2×D411yescharacteristic
515C2×C4×D61C2411yescharacteristic
516C2×C4×D61C2411yescharacteristic
517C2×C4×D61C2411yescharacteristic
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122C2411yescharacteristic
523C2×Dic122C2411yescharacteristic
524Q16×C61—41no—
525SD16×C61—41no—
526SD16×C61—41no—
527C2×C8×C61C2411yescharacteristic
528C2×C8×C61C2411yescharacteristic
529C2×C8×C61C2411yescharacteristic
530C2×C8×C61C2411yescharacteristic
531C4⋊C4×C61—21no—
532C4⋊C4×C61—21no—
533C4⋊C4×C61—21no—
534C4⋊C4×C61—21no—
535C4⋊C4×C61—21no—
536C4⋊C4×C61—21no—
537C4⋊C4×C61—21no—
538C4⋊C4×C61C2×D411yescharacteristic
539C4⋊C4×C61C2×D411yescharacteristic
540C4⋊C4×C61C2×D411yescharacteristic
541C4⋊C4×C61C2411yescharacteristic
542C4⋊C4×C61C2411yescharacteristic
543C4⋊C4×C61C2411yescharacteristic
544C4⋊C4×C61C2411yescharacteristic
545C22⋊C4×C61—21no—
546C22⋊C4×C61—21no—
547C22⋊C4×C61—21no—
548C22⋊C4×C61—21no—
549C22⋊C4×C61—21no—
550C22⋊C4×C61—21no—
551C42×C61—21no—
552C42×C61—21no—
553C42×C61—21no—
554C42×C61—21no—
555C42×C61C2411yescharacteristic
556C42×C61C2411yescharacteristic
557C42×C61C2411yescharacteristic
558C22⋊Dic61—21no—
559C22⋊Dic61—21no—
560C22⋊Dic61—21no—
561C22⋊Dic61—21no—
562C22⋊Dic61—21no—
563C22⋊Dic61—21no—
564#11758202—22no—
565#11758202—41no—
566#11758200—41no—
567#11758200—41no—
568#11758198—21no—
569#11758198—21no—
570#11758198—21no—
571#11758198—21no—
572#11758198—21no—
573#11758198—21no—
574#11758198—21no—
575#11758198—21no—
576#11758198—21no—
577#11758198—21no—
578#11758198—21no—
579#11758198—21no—
580#11758198—21no—
581#11758198—21no—
582#11758198C2×D411yescharacteristic
583#11758198C2×D411yescharacteristic
584#11758198C2×D411yescharacteristic
585#11758198C2×D411yescharacteristic
586#11758198C2×D411yescharacteristic
587#11758198C2×D411yescharacteristic
588#11758198C2×D411yescharacteristic
589#11758198C2×D411yescharacteristic
590#11758198C2×D411yescharacteristic
591#11758198C2×D411yescharacteristic
592C4⋊Dic61—21no—
593C4⋊Dic61—21no—
594C4⋊Dic61—21no—
595C4⋊Dic61—21no—
596C4⋊Dic61—21no—
597C4⋊Dic61—21no—
598C4⋊Dic61—21no—
599C4⋊Dic61—21no—
600C4⋊Dic61C2×D411yescharacteristic
601C4⋊Dic61C2×D411yescharacteristic
602C4⋊Dic61C2×D411yescharacteristic
603C4⋊Dic61C2411yescharacteristic
604C4⋊Dic61C2411yescharacteristic
605C4⋊Dic61C2411yescharacteristic
606C4⋊Dic61C2411yescharacteristic
607C4⋊Dic61C2411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609#11758196—21no—
610#11758196—21no—
611#11758196—21no—
612#11758196—21no—
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#11758196—21no—
636#11758196—21no—
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×Dic61C2×D411yescharacteristic
656C4×Dic61C2×D411yescharacteristic
657C4×Dic61C2411yescharacteristic
658C2×#92418C2411yescharacteristic
659C2×#92418C2411yescharacteristic
660C2×#92418C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662Dic244—22no—
663#11758189—41no—
664#11758189—41no—
665C8×D61—41no—
666C8×D61—41no—
667C8×D61—41no—
668C8×D61—41no—
669C23×C61—21no—
670C23×C61—21no—
671C22×D61C22×D411yescharacteristic
672C22×D61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—21no—
677Q8×C61—21no—
678Q8×C61—41no—
679Q8×C61—81no—
680Q8×C61—81no—
681Q8×C61—81no—
682D4×C61—21no—
683D4×C61—21no—
684D4×C61—21no—
685D4×C61—21no—
686D4×C61—81no—
687D4×C61—81no—
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×C61C22×D411yescharacteristic
702C2×C4×C61C2511yescharacteristic
703C22⋊D61—42no—
704C22⋊D61—42no—
705C22⋊D61—81no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C22⋊D61—81no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—42no—
718C2×Dic61—42no—
719C2×Dic61—81no—
720C2×Dic61—81no—
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724C2×Dic61C22×D411yescharacteristic
725C2×Dic61C22×D411yescharacteristic
726D244—41no—
727D244—41no—
728D244—41no—
729C4×D61—21no—
730C4×D61—21no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—21no—
734C4×D61—21no—
735C4×D61—41no—
736C4×D61—41no—
737C4×D61—42no—
738C4×D61—81no—
739C4×D61—81no—
740C4×D61—81no—
741Dic122—21no—
742Dic122—21no—
743Dic122—21no—
744Dic122—42no—
745Dic122—42no—
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#62174—611nomaximal, Sylow
758C22×C61—41no—
759C22×C61—41no—
760C22×C61—41no—
761C22×C61—41no—
762C22×C61—41no—
763C22×C61—41no—
764C22×C61C23×D411yescharacteristic
765C2×D61—21no—
766C2×D61—21no—
767C2×D61—21no—
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—21no—
780C4×C61—41no—
781C4×C61—41no—
782C4×C61—41no—
783C4×C61—41no—
784C4×C61—41no—
785C4×C61—41no—
786C4×C61C2×2−1+411yescharacteristic
787C4×C61#58511yescharacteristic
788Dic61—21no—
789Dic61—21no—
790Dic61—22no—
791Dic61—21no—
792Dic61—21no—
793Dic61—21no—
794Dic61—41no—
795Dic61—41no—
796Dic61—41no—
797Dic61—41no—
798Dic61—41no—
799Dic61—41no—
800Dic61—41no—
801#3555—611no—
802#3524—611no—
803#3390—611no—
804#3387—611no—
805#3375D6111yescharacteristic, complemented
806#3371—611no—
807#3350—611no—
808#3349—611no—
809#3348—611no—
810#3346—611no—
811#3340—611no—
812#3336—611no—
813#3317—611no—
814#3316—611no—
815#3313—611no—
816#3313—611no—
817#3304—611no—
818#3300—611no—
819#3260—611no—
820#3258—611no—
821#3248—611no—
822#3244—611no—
823#3241—611no—
824#3240—611no—
825#3127—611no—
826#3120—611no—
827#3116—611no—
828#3083—611no—
829#3082—611no—
830#3076—611no—
831#2992—611no—
832C2×C61—81no—
833C2×C61—81no—
834C2×C61#348911yescharacteristic
835C2×C61#358411yescharacteristic
836C2×C61#358611yescharacteristic
837D61—41no—
838D61—41no—
839D61—41no—
840#563—1221no—
841#563—1221no—
842#559—1221no—
843#559C2×D6111yescharacteristic
844Q82C2×D6111yescharacteristic
845#557—611no—
846#557—611no—
847#557—1221no—
848#556—611no—
849#556—611no—
850#556—611no—
851#556—1221no—
852#555—611no—
853#555—1221no—
854#554—611no—
855#553—611no—
856#553—1221no—
857#552—611no—
858#552—611no—
859#552—611no—
860#552—1221no—
861#550—611no—
862#548—611no—
863#548—611no—
864#544—611no—
865#544—611no—
866#542—611no—
867#542—1221no—
868#542—1221no—
869#541—611no—
870#541—611no—
871#541—1221no—
872#541—1221no—
873#541—1221no—
874#540—611no—
875#540—1221no—
876#533—611no—
877#533—611no—
878#529—611no—
879#529—611no—
880#529—1221no—
881#529—1221no—
882#520—611no—
883#519—611no—
884C4×#41—611no—
885#501—611no—
886#501—611no—
887#501—611no—
888#501—611no—
889#499—611no—
890#498—611no—
891#490—611no—
892#489—611no—
893#489C2×D6111yescharacteristic
894#489C2×D6111yescharacteristic
895#488—611no—
896#486C2×D6111yescharacteristic
897#485—611no—
898#485—611no—
899#485—611no—
900#485—611no—
901#485—611no—
902#485—611no—
903#485—611no—
904#484—611no—
905#483—611no—
906#483—611no—
907#482—611no—
908#482—611no—
909#482—611no—
910#482—611no—
911#482—611no—
912#481—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#479—611no—
925#479—611no—
926#478—611no—
927#478—611no—
928#478—611no—
929#478—611no—
930#478—611no—
931#477—611no—
932#477—611no—
933#477—611no—
934#477—611no—
935#477C2×D6111yescharacteristic
936#476—611no—
937#476—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#468—611no—
947#468—611no—
948#468—611no—
949#467—611no—
950#467—611no—
951#467—611no—
952#465—611no—
953#465—611no—
954#465—611no—
955#465—611no—
956#465—611no—
957#464—611no—
958#464—611no—
959#464C2×D6111yescharacteristic
960#464C2×D6111yescharacteristic
961#462—611no—
962#462—611no—
963#461—611no—
964#461—611no—
965#460—611no—
966#460C2×D6111yescharacteristic
967#452—611no—
968#452—611no—
969#452—611no—
970#452—611no—
971#451—611no—
972#451—611no—
973#446—611no—
974#446C2×D6111yescharacteristic
975#441—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440C2×D6111yescharacteristic
982#440C2×D6111yescharacteristic
983C4×Q16—611no—
984C4×Q16—611no—
985C4×Q16C2×D6111yescharacteristic
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—
1001C2×#107—611no—
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8—611no—
1005#419—611no—
1006#417—611no—
1007#416—611no—
1008#416—611no—
1009#416—611no—
1010C2×#103—611no—
1011C61#6217411yescharacteristic, complemented, Sylow
1012C2×#41—611no—
1013C2×#41—611no—
1014C22×Q8—611no—
1015C2×Q16—611no—
1016C2×Q16—611no—
1017C2×Q16—611no—
1018C2×Q16C22×D6111yescharacteristic
1019C2×SD16—611no—
1020C2×SD16—611no—
1021C2×SD16C22×D6111yescharacteristic
1022C2×SD16C22×D6111yescharacteristic
1023C2×M16—611no—
1024C2×M16—611no—
1025C22×C8—611no—
1026C22×C8—611no—
1027C22×C8—611no—
1028C22×C8—611no—
1029C4⋊Q8—21no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—611no—
1035C4⋊Q8—611no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8C22×D6111yescharacteristic
1041C4⋊Q8C22×D6111yescharacteristic
1042C4⋊Q8C22×D6111yescharacteristic
1043#127—1221no—
1044#127C22×D6111yescharacteristic
1045#126—611no—
1046#126—611no—
1047#126—1221no—
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—611no—
1070#125—1221no—
1071#125—1221no—
1072#125—1221no—
1073#125—1221no—
1074#125—1221no—
1075#125—1221no—
1076#125—1221no—
1077#125—1221no—
1078#125—1221no—
1079#125—1221no—
1080#125—1221no—
1081#125—1221no—
1082#125—1221no—
1083#125—1221no—
1084#125—1221no—
1085#124—21no—
1086#124—611no—
1087#124—1221no—
1088#124—1221no—
1089#124—1221no—
1090#124—1221no—
1091#124—1221no—
1092#124—1221no—
1093#124—1221no—
1094#124—1221no—
1095#124C22×D6111yescharacteristic
1096#124C22×D6111yescharacteristic
1097#123—21no—
1098#123—21no—
1099#123—611no—
1100#123—611no—
1101#123—1221no—
1102#123—1221no—
1103#123—1221no—
1104#123—1221no—
1105#123—1221no—
1106#123—1221no—
1107#123—1221no—
1108#123—1221no—
1109C22⋊Q8—611no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
1116C22⋊Q8—611no—
1117C22⋊Q8—611no—
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⋊Q8—1221no—
1130#121—611no—
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#121—1221no—
1142#121—1221no—
1143C4×Q8—21no—
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—1221no—
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×Q8C22×D6111yescharacteristic
1163C4×Q8C22×D6111yescharacteristic
1164C4×Q8C22×D6111yescharacteristic
1165C4×Q8C22×D6111yescharacteristic
1166C4×Q8C22×D6111yescharacteristic
1167C4×D4—21no—
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×D4—1221no—
1182C4×D4—1221no—
1183C4×D4C22×D6111yescharacteristic
1184C4×D4C22×D6111yescharacteristic
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—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—
1203C2×C4⋊C4—611no—
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#107—611no—
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⋊C8—611no—
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#103C22×D6111yescharacteristic
1260#103C22×D6111yescharacteristic
1261#103C22×D6111yescharacteristic
1262#103C22×D6111yescharacteristic
1263#102—611no—
1264#102—611no—
1265#102—611no—
1266#102—611no—
1267#102—611no—
1268#102—611no—
1269#102C22×D6111yescharacteristic
1270#102C22×D6111yescharacteristic
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#97C22×D6111yescharacteristic
1284#97C22×D6111yescharacteristic
1285C4×C8—611no—
1286C4×C8C22×D6111yescharacteristic
1287#41—1222no—
1288#41—1222no—
1289#41—2441no—
1290#41—2441no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—611no—
1295C2×Q8—611no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1222no—
1301C2×Q8—2441no—
1302C2×Q8D4×D6111yescharacteristic
1303C2×Q8C23×D6111yescharacteristic
1304C2×Q8C23×D6111yescharacteristic
1305C2×D4—21no—
1306C2×D4—21no—
1307C2×D4—611no—
1308C2×D4—611no—
1309C2×D4—611no—
1310C2×D4—1221no—
1311C2×D4—1221no—
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—611no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4—1221no—
1331C22×C4—1221no—
1332C22×C4—1221no—
1333Q16—41no—
1334Q16—1222no—
1335Q16—1222no—
1336Q16—2441no—
1337SD16—41no—
1338SD16—41no—
1339SD16—2441no—
1340SD16—2441no—
1341M16—2441no—
1342M16—2441no—
1343C2×C8—611no—
1344C2×C8—611no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—2441no—
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—21no—
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⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4D4×D6111yescharacteristic
1412C4⋊C4D4×D6111yescharacteristic
1413C4⋊C4D4×D6111yescharacteristic
1414C4⋊C4C23×D6111yescharacteristic
1415C4⋊C4C23×D6111yescharacteristic
1416C4⋊C4C23×D6111yescharacteristic
1417C4⋊C4C23×D6111yescharacteristic
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—611no—
1433C22⋊C4—611no—
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⋊C4—1221no—
1453C22⋊C4—1221no—
1454C42—21no—
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—611no—
1459C42—611no—
1460C42—611no—
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—
1475C42C23×D6111yescharacteristic
1476C42C23×D6111yescharacteristic
1477C42C23×D6111yescharacteristic
1478C23—21no—
1479C23—21no—
1480C23—611no—
1481C23—611no—
1482C23—611no—
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—41no—
1488Q8—81no—
1489Q8—81no—
1490Q8—81no—
1491Q8—612no—
1492Q8—1221no—
1493Q8—1221no—
1494Q8—1221no—
1495Q8—4881no—
1496Q8—4881no—
1497Q8—2442no—
1498Q8—2442no—
1499D4—21no—
1500D4—21no—
1501D4—21no—
1502D4—21no—
1503D4—81no—
1504D4—81no—
1505D4—4881no—
1506D4—4881no—
1507D4—4881no—
1508D4—4881no—
1509D4—2441no—
1510D4—2441no—
1511D4—2441no—
1512D4—2442no—
1513D4—2442no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—611no—
1523C2×C4—611no—
1524C2×C4—611no—
1525C2×C4—611no—
1526C2×C4—611no—
1527C2×C4—1221no—
1528C2×C4—1221no—
1529C2×C4—1221no—
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—4881no—
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×C4C2×D4×D6111yescharacteristic
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—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—1221no—
1573C22—1221no—
1574C22—1221no—
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—21no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—1221no—
1595C4—1221no—
1596C4—1221no—
1597C4—1222no—
1598C4—1221no—
1599C4—1221no—
1600C4—2441no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059811yescharacteristic
1609C2—81no—
1610C2—81no—
1611C2—2441no—
1612C2—2441no—
1613C2—2441no—
1614C2#2145949811yescharacteristic
1615C2#2146058711yescharacteristic
1616C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3375C2
socleC22×C61C23×D4
prime radical#21459923C2
hypercenter#3375D61
hypocenterC61#62174
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #21460308C2semidirect
3. #21458788C2semidirect
4. #21458747C2semidirect
5. #21458581C2semidirect
6. #21458369C2semidirect
7. #21458346C2semidirect
8. #21458339C2semidirect
9. #21458301C2semidirect
10. #21458229C2semidirect
11. #21458189C2semidirect
12. #21457952C2semidirect
13. #21457929C2semidirect
14. #21457892C2semidirect
15. #21457884C2semidirect
16. #21457757C2semidirect
17. #21457713C2semidirect
18. #21457263C2semidirect
19. #21457250C2semidirect
20. #21457153C2semidirect
21. #21457112C2semidirect
22. #21457065C2semidirect
23. #21457054C2semidirect
24. #21456116C2semidirect
25. #21456037C2semidirect
26. #21455977C2semidirect
27. #21455665C2semidirect
28. #21455656C2semidirect
29. #21455600C2semidirect
30. #21454957C2semidirect
31. C61×#3375C2semidirect
805. #3375D61semidirect
1011. C61#62174semidirect

Maximal subgroups

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

subgroupindex
#214603082
#214599232
#214587882
#214587472
#214585812
#214583692
#214583462
#214583392
#214583012
#214582292
#214581892
#214579522
#214579292
#214578922
#214578842
#214577572
#214577132
#214572632
#214572502
#214571532
#214571122
#214570652
#214570542
#214561162
#214560372
#214559772
#214556652
#214556562
#214556002
#214549572
C61×#33752
#6217461