Finite Group Databasebeta

← #30577209

Subgroups — #30577209

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#21460307C211yesmaximal, characteristic, complemented
2#21459918C211yesmaximal, characteristic
3#21458785C211yesmaximal, characteristic, complemented
4#21458754C211yesmaximal, characteristic, complemented
5#21458628C211yesmaximal, characteristic, complemented
6#21458584C211yesmaximal, characteristic, complemented
7#21458361C211yesmaximal, characteristic, complemented
8#21458355C211yesmaximal, characteristic, complemented
9#21458340C211yesmaximal, characteristic, complemented
10#21458311C211yesmaximal, characteristic, complemented
11#21458227C211yesmaximal, characteristic, complemented
12#21458182C211yesmaximal, characteristic, complemented
13#21457951C211yesmaximal, characteristic, complemented
14#21457937C211yesmaximal, characteristic, complemented
15#21457892C211yesmaximal, characteristic, complemented
16#21457891C211yesmaximal, characteristic, complemented
17#21457753C211yesmaximal, characteristic, complemented
18#21457701C211yesmaximal, characteristic, complemented
19#21457262C211yesmaximal, characteristic, complemented
20#21457243C211yesmaximal, characteristic, complemented
21#21457122C211yesmaximal, characteristic, complemented
22#21457079C211yesmaximal, characteristic, complemented
23#21457055C211yesmaximal, characteristic, complemented
24#21456117C211yesmaximal, characteristic, complemented
25#21456030C211yesmaximal, characteristic, complemented
26#21455975C211yesmaximal, characteristic, complemented
27#21455665C211yesmaximal, characteristic, complemented
28#21455654C211yesmaximal, characteristic, complemented
29#21455609C211yesmaximal, characteristic, complemented
30#21454955C211yesmaximal, characteristic, complemented
31C61×#3248C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840513—21no—
34#16840495—21no—
35#16840494C2211yescharacteristic
36Q8×Dic122C2211yescharacteristic
37#16840491C2211yescharacteristic
38#16840490—21no—
39#16840489C2211yescharacteristic
40#16840485—21no—
41#16840485C2211yescharacteristic
42#16840483C2211yescharacteristic
43#16840483C2211yescharacteristic
44#16840476C2211yescharacteristic
45#16840475—21no—
46#16840472C2211yescharacteristic
47#16840465C2211yescharacteristic
48#16840461—21no—
49#16840446C2211yescharacteristic
50#16840446C2211yescharacteristic
51#16840446C2211yescharacteristic
52#16840445—21no—
53#16840430C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840420C2211yescharacteristic
56#16840389C2211yescharacteristic
57#16840389C2211yescharacteristic
58#16840384C2211yescharacteristic
59#16840383—21no—
60#16840380—21no—
61#16840374—21no—
62#16840373C2211yescharacteristic
63#16840373C2211yescharacteristic
64#16840371—21no—
65#16840371—21no—
66#16840364—21no—
67#16840363C2211yescharacteristic
68#16840319C2211yescharacteristic
69#16840296C2211yescharacteristic
70#16840295—21no—
71#16840295—21no—
72#16840241C2211yescharacteristic
73#16840238C2211yescharacteristic
74C4×#11758222C2211yescharacteristic
75#16840172C2211yescharacteristic
76#16840172C2211yescharacteristic
77#16840170C2211yescharacteristic
78#16840169C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840159C2211yescharacteristic
81#16840125C2211yescharacteristic
82#16840123C2211yescharacteristic
83#16840121C2211yescharacteristic
84#16840121C2211yescharacteristic
85#16840118C2211yescharacteristic
86#16840107C2211yescharacteristic
87#16840102C2211yescharacteristic
88#16840102C2211yescharacteristic
89#16840101C2211yescharacteristic
90#16840100C2211yescharacteristic
91#16840100C2211yescharacteristic
92#16840100C2211yescharacteristic
93#16840100C2211yescharacteristic
94#16840096C2211yescharacteristic
95#16840091C2211yescharacteristic
96#16840091C2211yescharacteristic
97#16840089C2211yescharacteristic
98#16840088C2211yescharacteristic
99#16840084C2211yescharacteristic
100#16840083C2211yescharacteristic
101#16840083C2211yescharacteristic
102#16840082C2211yescharacteristic
103#16840079C2211yescharacteristic
104#16840077C2211yescharacteristic
105#16840072C2211yescharacteristic
106#16840071C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840069C2211yescharacteristic
110#16840069C2211yescharacteristic
111#16840068C2211yescharacteristic
112#16840067C2211yescharacteristic
113#16840067C2211yescharacteristic
114#16840064C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840062C2211yescharacteristic
118#16840062C2211yescharacteristic
119#16840058C2211yescharacteristic
120#16840056C2211yescharacteristic
121#16840055C2211yescharacteristic
122#16840055C2211yescharacteristic
123#16840054C2211yescharacteristic
124#16840053C2211yescharacteristic
125#16840049C2211yescharacteristic
126#16840048C2211yescharacteristic
127#16840046C2211yescharacteristic
128#16840045C2211yescharacteristic
129#16840043C2211yescharacteristic
130#16840040C2211yescharacteristic
131#16840017C2211yescharacteristic
132#16840011C2211yescharacteristic
133#16840011C2211yescharacteristic
134#16840005C2211yescharacteristic
135#16840000C2211yescharacteristic
136#16839994C2211yescharacteristic
137#16839994C2211yescharacteristic
138#16839988C2211yescharacteristic
139#16839986C2211yescharacteristic
140#16839986C2211yescharacteristic
141#16839969C2211yescharacteristic
142#16839964C2211yescharacteristic
143#16839960C2211yescharacteristic
144#16839960C2211yescharacteristic
145#16839922C2211yescharacteristic
146#16839922C2211yescharacteristic
147#16839921C2211yescharacteristic
148#16839921C2211yescharacteristic
149#16839916C2211yescharacteristic
150#16839916C2211yescharacteristic
151#16839891C2211yescharacteristic
152#16839891C2211yescharacteristic
153#16839869C2211yescharacteristic
154#16839867C2211yescharacteristic
155#16839867C2211yescharacteristic
156#16839866C2211yescharacteristic
157#16839866C2211yescharacteristic
158#16839863C2211yescharacteristic
159#16839860C2211yescharacteristic
160#16839860C2211yescharacteristic
161Q16×Dic61C2211yescharacteristic
162#16839854C2211yescharacteristic
163#16839854C2211yescharacteristic
164SD16×Dic61C2211yescharacteristic
165#16839833C2211yescharacteristic
166#16839833C2211yescharacteristic
167#16839832C2211yescharacteristic
168#16839832C2211yescharacteristic
169C8×C22⋊D61C2211yescharacteristic
170C8×C22⋊D61C2211yescharacteristic
171#16839822C2211yescharacteristic
172#16839822C2211yescharacteristic
173#16839819C2211yescharacteristic
174#16839803C2211yescharacteristic
175#16839801C2211yescharacteristic
176#16839800C2211yescharacteristic
177#16839800C2211yescharacteristic
178#16839797C2211yescharacteristic
179#107×D61C2211yescharacteristic
180#16839787C2211yescharacteristic
181#16839787C2211yescharacteristic
182#16839769C2211yescharacteristic
183#16839760C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839759C2211yescharacteristic
186#16839755C2211yescharacteristic
187#103×D61C2211yescharacteristic
188C61×#533C2211yescharacteristic
189C61×#529C2211yescharacteristic
190C61×#479C2211yescharacteristic
191C61×#479C2211yescharacteristic
192C61×#475C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#467C2211yescharacteristic
195C61×#467C2211yescharacteristic
196C61×#465C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#464C2211yescharacteristic
199C61×#464C2211yescharacteristic
200C61×#462C2211yescharacteristic
201C61×#461C2211yescharacteristic
202C2×C4⋊C8×C61C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×#11758202C2311yescharacteristic
207C2×#11758202C2311yescharacteristic
208C2×#11758201C2311yescharacteristic
209C2×#11758201C2311yescharacteristic
210C2×#11758189C2311yescharacteristic
211C2×#11758189C2311yescharacteristic
212C2×C8×D61C2311yescharacteristic
213C2×C8×D61C2311yescharacteristic
214#14519777—21no—
215#14519777—21no—
216#14519777C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519776—21no—
219#14519776—21no—
220#14519776—21no—
221#14519776C2311yescharacteristic
222#14519776C2311yescharacteristic
223#14519776C2311yescharacteristic
224#14519775—21no—
225#14519775—21no—
226#14519773—21no—
227#14519773C2311yescharacteristic
228#14519772—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519771—21no—
238#14519771D411yescharacteristic
239#14519771D411yescharacteristic
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519769—21no—
246#14519769D411yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519768—21no—
250#14519768—21no—
251#14519768C2311yescharacteristic
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#14519766C2311yescharacteristic
266#14519765—21no—
267#14519765—21no—
268#14519765D411yescharacteristic
269#14519764—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519762—21no—
277#14519762—21no—
278#14519761—21no—
279#14519760—21no—
280#14519760D411yescharacteristic
281#14519760D411yescharacteristic
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519756—21no—
288#14519756—21no—
289#14519756D411yescharacteristic
290#14519755—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519754—21no—
297#14519753—21no—
298#14519753—21no—
299#14519753C2311yescharacteristic
300#14519753C2311yescharacteristic
301#14519753C2311yescharacteristic
302#14519753C2311yescharacteristic
303#14519753C2311yescharacteristic
304#14519752—21no—
305#14519752C2311yescharacteristic
306#14519752C2311yescharacteristic
307#14519751—21no—
308#14519751D411yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519749—21no—
314#14519749—21no—
315#14519748C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319Q8×Dic61C2311yescharacteristic
320Q8×Dic61C2311yescharacteristic
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742C2311yescharacteristic
335#14519742C2311yescharacteristic
336C4×D244—21no—
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739—21no—
342#14519739—21no—
343C4×C22⋊D61—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61C2311yescharacteristic
347C4×C22⋊D61C2311yescharacteristic
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519737—21no—
352#14519736C2311yescharacteristic
353#14519736C2311yescharacteristic
354#14519736C2311yescharacteristic
355#14519735—21no—
356#14519735—21no—
357#14519735—21no—
358#14519735—21no—
359#14519735C2311yescharacteristic
360#14519735C2311yescharacteristic
361#14519735C2311yescharacteristic
362#14519734—21no—
363#14519734—21no—
364#14519734C2311yescharacteristic
365#14519734C2311yescharacteristic
366#14519733—21no—
367#14519733—21no—
368C2×#11758196—21no—
369C4⋊C4×D61C2311yescharacteristic
370C4⋊C4×D61C2311yescharacteristic
371C4⋊C4×D61C2311yescharacteristic
372C42×D61—21no—
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#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
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×Q16×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442C4⋊Q8×C61C2311yescharacteristic
443#126×C61—21no—
444#125×C61—21no—
445#125×C61C2311yescharacteristic
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450C22⋊Q8×C61C2311yescharacteristic
451C22⋊Q8×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61—21no—
454C4×Q8×C61C2311yescharacteristic
455C4×Q8×C61C2311yescharacteristic
456C4×Q8×C61C2311yescharacteristic
457C4×D4×C61—21no—
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#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C2×Q8×C61—21no—
479C2×Q8×C61C2411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61C2411yescharacteristic
484C22×C4×C61—21no—
485C22×C4×C61C2×D411yescharacteristic
486C22×C4×C61C2×D411yescharacteristic
487C22×C4×C61C2411yescharacteristic
488C2×C22⋊D61—21no—
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—
497Q8×D61—22no—
498Q8×D61—41no—
499#11758224—22no—
500#11758224—41no—
501#11758222—22no—
502#11758222—41no—
503C2×D244—21no—
504C2×D244—21no—
505C2×D244C2×D411yescharacteristic
506C2×D244C2411yescharacteristic
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61C2411yescharacteristic
515C2×C4×D61C2411yescharacteristic
516C2×Dic122—21no—
517C2×Dic122—21no—
518C2×Dic122—21no—
519C2×Dic122—21no—
520C2×Dic122—21no—
521C2×Dic122—21no—
522C2×Dic122C2×D411yescharacteristic
523C2×Dic122C2411yescharacteristic
524Q16×C61—41no—
525Q16×C61—41no—
526SD16×C61—41no—
527SD16×C61—41no—
528C2×C8×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×C61—21no—
541C4⋊C4×C61—21no—
542C4⋊C4×C61—21no—
543C4⋊C4×C61—21no—
544C4⋊C4×C61—21no—
545C4⋊C4×C61C2411yescharacteristic
546C4⋊C4×C61C2411yescharacteristic
547C4⋊C4×C61C2411yescharacteristic
548C4⋊C4×C61C2411yescharacteristic
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—
556C42×C61—21no—
557C42×C61—21no—
558C42×C61—21no—
559C42×C61C2×D411yescharacteristic
560C42×C61C2×D411yescharacteristic
561C42×C61C2411yescharacteristic
562C42×C61C2411yescharacteristic
563C22⋊Dic61—21no—
564C22⋊Dic61—21no—
565C22⋊Dic61—21no—
566C22⋊Dic61—21no—
567C22⋊Dic61—21no—
568C22⋊Dic61C2×D411yescharacteristic
569C22⋊Dic61C2×D411yescharacteristic
570#11758202—22no—
571#11758202—22no—
572#11758201—41no—
573#11758201—41no—
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#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
594#11758198C2×D411yescharacteristic
595#11758198C2×D411yescharacteristic
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⋊Dic61—21no—
606C4⋊Dic61C2×D411yescharacteristic
607C4⋊Dic61C2×D411yescharacteristic
608C4⋊Dic61C2411yescharacteristic
609C4⋊Dic61C2411yescharacteristic
610C4⋊Dic61C2411yescharacteristic
611C4⋊Dic61C2411yescharacteristic
612C4⋊Dic61C2411yescharacteristic
613C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
637#11758196C2×D411yescharacteristic
638#11758196C2×D411yescharacteristic
639#11758196C2×D411yescharacteristic
640#11758196C2×D411yescharacteristic
641#11758196C2×D411yescharacteristic
642#11758196C2×D411yescharacteristic
643#11758196C2×D411yescharacteristic
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×Dic61—21no—
659C4×Dic61C2411yescharacteristic
660C4×Dic61C2411yescharacteristic
661C2×#92418C2411yescharacteristic
662C2×#92418C2411yescharacteristic
663C2×#92418C2411yescharacteristic
664C2×#92418C2411yescharacteristic
665#11758189—41no—
666#11758189—41no—
667C8×D61—41no—
668C8×D61—41no—
669C23×C61—21no—
670C23×C61C22×D411yescharacteristic
671C22×D61—21no—
672C22×D61C22×D411yescharacteristic
673C22×D61C22×D411yescharacteristic
674Q8×C61—21no—
675Q8×C61—21no—
676Q8×C61—21no—
677Q8×C61—21no—
678Q8×C61—21no—
679Q8×C61—21no—
680Q8×C61—81no—
681D4×C61—21no—
682D4×C61—21no—
683D4×C61—81no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
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—41no—
694C2×C4×C61—41no—
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—42no—
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—42no—
717C2×Dic61—81no—
718C2×Dic61C22×D411yescharacteristic
719C2×Dic61C22×D411yescharacteristic
720C2×Dic61C22×D411yescharacteristic
721C2×Dic61C22×D411yescharacteristic
722C2×Dic61C22×D411yescharacteristic
723C2×Dic61C22×D411yescharacteristic
724D244—21no—
725D244—21no—
726D244—41no—
727D244—81no—
728D244—81no—
729C4×D61—21no—
730C4×D61—21no—
731C4×D61—21no—
732C4×D61—21no—
733C4×D61—42no—
734C4×D61—42no—
735C4×D61—81no—
736C4×D61—81no—
737C4×D61—81no—
738C4×D61—81no—
739C4×D61—81no—
740Dic122—21no—
741Dic122—41no—
742Dic122—42no—
743Dic122—42no—
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#62174—611nomaximal, Sylow
758C22×C61—21no—
759C22×C61—21no—
760C22×C61—21no—
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—41no—
772C2×D61—41no—
773C2×D61—41no—
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×C61—41no—
786C4×C61C2×2−1+411yescharacteristic
787C4×C61#58511yescharacteristic
788Dic61—21no—
789Dic61—21no—
790Dic61—21no—
791Dic61—21no—
792Dic61—22no—
793Dic61—21no—
794Dic61—21no—
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#3375—611no—
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#3248D6111yescharacteristic, complemented
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—41no—
833C2×C61—81no—
834C2×C61#348911yescharacteristic
835C2×C61#358411yescharacteristic
836C2×C61#358611yescharacteristic
837D61—41no—
838D61—41no—
839D61—81no—
840#563—1221no—
841#563—1221no—
842#559—611no—
843#559—1221no—
844Q82—611no—
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#533C2×D6111yescharacteristic
878#529—611no—
879#529—1221no—
880#529—1221no—
881#529C2×D6111yescharacteristic
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#489—611no—
894#489—611no—
895#488—611no—
896#486—611no—
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#479C2×D6111yescharacteristic
925#479C2×D6111yescharacteristic
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#477—611no—
936#476—611no—
937#476—611no—
938#475—611no—
939#475—611no—
940#475—611no—
941#475C2×D6111yescharacteristic
942#474—611no—
943#474—611no—
944#474C2×D6111yescharacteristic
945#470—611no—
946#468—611no—
947#468—611no—
948#468—611no—
949#467—611no—
950#467C2×D6111yescharacteristic
951#467C2×D6111yescharacteristic
952#465—611no—
953#465—611no—
954#465—611no—
955#465C2×D6111yescharacteristic
956#465C2×D6111yescharacteristic
957#464—611no—
958#464—611no—
959#464C2×D6111yescharacteristic
960#464C2×D6111yescharacteristic
961#462—611no—
962#462C2×D6111yescharacteristic
963#461—611no—
964#461C2×D6111yescharacteristic
965#460—611no—
966#460—611no—
967#452—611no—
968#452—611no—
969#452—611no—
970#452—611no—
971#451—611no—
972#451—611no—
973#446—611no—
974#446—611no—
975#441—611no—
976#441—611no—
977#441—611no—
978#441—611no—
979#441—611no—
980#440—611no—
981#440—611no—
982#440—611no—
983C4×Q16—611no—
984C4×Q16—611no—
985C4×Q16—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—
1001C2×#107—611no—
1002#424—611no—
1003#424—611no—
1004C2×C4⋊C8C2×D6111yescharacteristic
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×Q16C22×D6111yescharacteristic
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×C8C22×D6111yescharacteristic
1028C22×C8C22×D6111yescharacteristic
1029C4⋊Q8—611no—
1030C4⋊Q8—611no—
1031C4⋊Q8—611no—
1032C4⋊Q8—611no—
1033C4⋊Q8—611no—
1034C4⋊Q8—1221no—
1035C4⋊Q8—1221no—
1036C4⋊Q8—1221no—
1037C4⋊Q8—1221no—
1038C4⋊Q8—1221no—
1039C4⋊Q8—1221no—
1040C4⋊Q8—1221no—
1041C4⋊Q8C22×D6111yescharacteristic
1042C4⋊Q8C22×D6111yescharacteristic
1043#127—611no—
1044#127—1221no—
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—21no—
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#125C22×D6111yescharacteristic
1085#124—611no—
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#124—1221no—
1096#124C22×D6111yescharacteristic
1097#123—21no—
1098#123—611no—
1099#123—611no—
1100#123—1221no—
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—21no—
1110C22⋊Q8—611no—
1111C22⋊Q8—611no—
1112C22⋊Q8—611no—
1113C22⋊Q8—611no—
1114C22⋊Q8—611no—
1115C22⋊Q8—611no—
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⋊Q8C22×D6111yescharacteristic
1128C22⋊Q8C22×D6111yescharacteristic
1129C22⋊Q8C22×D6111yescharacteristic
1130#121—611no—
1131#121—611no—
1132#121—611no—
1133#121—611no—
1134#121—1221no—
1135#121—1221no—
1136#121—1221no—
1137#121—1221no—
1138#121—1221no—
1139#121—1221no—
1140#121—1221no—
1141#121—1221no—
1142#121C22×D6111yescharacteristic
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—611no—
1153C4×Q8—611no—
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×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—611no—
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×D4—1221no—
1184C4×D4C22×D6111yescharacteristic
1185#117—21no—
1186#117—21no—
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—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—1221no—
1207C2×C42—1221no—
1208C2×C42C22×D6111yescharacteristic
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#107—611no—
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#106C22×D6111yescharacteristic
1232#106C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1258#103C22×D6111yescharacteristic
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#102—611no—
1270#102—611no—
1271#102—611no—
1272#102—611no—
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—1222no—
1289#41—2441no—
1290#41—2441no—
1291C2×Q8—21no—
1292C2×Q8—611no—
1293C2×Q8—611no—
1294C2×Q8—1221no—
1295C2×Q8—1221no—
1296C2×Q8—1221no—
1297C2×Q8—1221no—
1298C2×Q8—1221no—
1299C2×Q8—1221no—
1300C2×Q8—1222no—
1301C2×Q8—2441no—
1302C2×Q8C23×D6111yescharacteristic
1303C2×Q8C23×D6111yescharacteristic
1304C2×Q8C23×D6111yescharacteristic
1305C2×D4—21no—
1306C2×D4—611no—
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×D4—1221no—
1317C2×D4C23×D6111yescharacteristic
1318C22×C4—21no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—1221no—
1322C22×C4—1221no—
1323C22×C4—1221no—
1324C22×C4—1221no—
1325C22×C4—1221no—
1326C22×C4—1221no—
1327C22×C4—1221no—
1328C22×C4—1221no—
1329C22×C4—1221no—
1330C22×C4D4×D6111yescharacteristic
1331C22×C4D4×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333Q16—41no—
1334Q16—41no—
1335Q16—1222no—
1336Q16—1222no—
1337SD16—41no—
1338SD16—41no—
1339SD16—2441no—
1340SD16—2441no—
1341M16—2441no—
1342M16—2441no—
1343C2×C8—41no—
1344C2×C8—41no—
1345C2×C8—611no—
1346C2×C8—611no—
1347C2×C8—611no—
1348C2×C8—611no—
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—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
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—611no—
1376C4⋊C4—611no—
1377C4⋊C4—611no—
1378C4⋊C4—611no—
1379C4⋊C4—611no—
1380C4⋊C4—611no—
1381C4⋊C4—611no—
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⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
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—21no—
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—611no—
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—611no—
1458C42—611no—
1459C42—1221no—
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—
1474C42D4×D6111yescharacteristic
1475C42D4×D6111yescharacteristic
1476C42C23×D6111yescharacteristic
1477C42C23×D6111yescharacteristic
1478C23—21no—
1479C23—611no—
1480C23—611no—
1481C23—1221no—
1482C23C2×D4×D6111yescharacteristic
1483Q8—21no—
1484Q8—21no—
1485Q8—21no—
1486Q8—21no—
1487Q8—21no—
1488Q8—21no—
1489Q8—81no—
1490Q8—612no—
1491Q8—1221no—
1492Q8—4881no—
1493Q8—4881no—
1494Q8—4881no—
1495Q8—4881no—
1496Q8—2441no—
1497Q8—2442no—
1498Q8—2442no—
1499D4—21no—
1500D4—21no—
1501D4—81no—
1502D4—1221no—
1503D4—1221no—
1504D4—4881no—
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—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—81no—
1526C2×C4—611no—
1527C2×C4—611no—
1528C2×C4—611no—
1529C2×C4—611no—
1530C2×C4—611no—
1531C2×C4—611no—
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—1221no—
1543C2×C4—4881no—
1544C2×C4—4881no—
1545C2×C4—4881no—
1546C2×C4—4881no—
1547C2×C4—4881no—
1548C2×C4—4881no—
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—1221no—
1573C22—1221no—
1574C22—1221no—
1575C22—1221no—
1576C22—1221no—
1577C22—1221no—
1578C22—2441no—
1579C22—2441no—
1580C22—2441no—
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—41no—
1594C4—1221no—
1595C4—1221no—
1596C4—1222no—
1597C4—1221no—
1598C4—1221no—
1599C4—1221no—
1600C4—1221no—
1601C4—2441no—
1602C4—2441no—
1603C4—2441no—
1604C4—2441no—
1605C4—2441no—
1606C4—2441no—
1607C42−1+4×D6111yescharacteristic
1608C4#1684059711yescharacteristic
1609C2—41no—
1610C2—81no—
1611C2—4881no—
1612C2—2441no—
1613C2—2441no—
1614C2#2145949411yescharacteristic
1615C2#2146058811yescharacteristic
1616C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3248C2
socleC22×C61C23×D4
prime radical#21459918C2
hypercenter#3248D61
hypocenterC61#62174
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3248

Complements

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

NH ≅ G/Ntype
1. #21460307C2semidirect
3. #21458785C2semidirect
4. #21458754C2semidirect
5. #21458628C2semidirect
6. #21458584C2semidirect
7. #21458361C2semidirect
8. #21458355C2semidirect
9. #21458340C2semidirect
10. #21458311C2semidirect
11. #21458227C2semidirect
12. #21458182C2semidirect
13. #21457951C2semidirect
14. #21457937C2semidirect
15. #21457892C2semidirect
16. #21457891C2semidirect
17. #21457753C2semidirect
18. #21457701C2semidirect
19. #21457262C2semidirect
20. #21457243C2semidirect
21. #21457122C2semidirect
22. #21457079C2semidirect
23. #21457055C2semidirect
24. #21456117C2semidirect
25. #21456030C2semidirect
26. #21455975C2semidirect
27. #21455665C2semidirect
28. #21455654C2semidirect
29. #21455609C2semidirect
30. #21454955C2semidirect
31. C61×#3248C2semidirect
821. #3248D61semidirect
1011. C61#62174semidirect

Maximal subgroups

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

subgroupindex
#214603072
#214599182
#214587852
#214587542
#214586282
#214585842
#214583612
#214583552
#214583402
#214583112
#214582272
#214581822
#214579512
#214579372
#214578922
#214578912
#214577532
#214577012
#214572622
#214572432
#214571222
#214570792
#214570552
#214561172
#214560302
#214559752
#214556652
#214556542
#214556092
#214549552
C61×#32482
#6217461