Finite Group Databasebeta

← #30550429

Subgroups — #30550429

Order 15616.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459738C211yesmaximal, characteristic, complemented
2#21459724C211yesmaximal, characteristic, complemented
3#21456524C211yesmaximal, characteristic, complemented
4#21456521C211yesmaximal, characteristic, complemented
5#21456515C211yesmaximal, characteristic, complemented
6#21456512C211yesmaximal, characteristic, complemented
7#21456509C211yesmaximal, characteristic, complemented
8#21456504C211yesmaximal, characteristic, complemented
9#21456499C211yesmaximal, characteristic, complemented
10#21456492C211yesmaximal, characteristic, complemented
11#21456487C211yesmaximal, characteristic, complemented
12#21456486C211yesmaximal, characteristic, complemented
13#21456481C211yesmaximal, characteristic, complemented
14#21456421C211yesmaximal, characteristic, complemented
15#21456418C211yesmaximal, characteristic, complemented
16#21456412C211yesmaximal, characteristic, complemented
17#21456409C211yesmaximal, characteristic, complemented
18#501×D61C211yesmaximal, characteristic, complemented
19#21456261C211yesmaximal, characteristic, complemented
20#21456216C211yesmaximal, characteristic, complemented
21#21456209C211yesmaximal, characteristic, complemented
22#21455487C211yesmaximal, characteristic, complemented
23#21455484C211yesmaximal, characteristic, complemented
24#21455479C211yesmaximal, characteristic, complemented
25#21455476C211yesmaximal, characteristic, complemented
26#21454701C211yesmaximal, characteristic, complemented
27#21454697C211yesmaximal, characteristic, complemented
28#21454691C211yesmaximal, characteristic, complemented
29#21454689C211yesmaximal, characteristic, complemented
30#21454246C211yesmaximal, characteristic, complemented
31C61×#3179C211yesmaximal, characteristic, complemented
32C2×#14519798C2211yescharacteristic
33C2×#14519798C2211yescharacteristic
34C2×#14519796C2211yescharacteristic
35C2×#14519796C2211yescharacteristic
36C2×#14519785C2211yescharacteristic
37C2×#14519783C2211yescharacteristic
38#16840479—21no—
39#16840474—21no—
40#16840466—21no—
41#16840463—21no—
42#16840459—21no—
43#16840459—21no—
44#16840457—21no—
45#16840457—21no—
46#16840457—21no—
47#16840455—21no—
48#16840455—21no—
49#16840449—21no—
50#16840449—21no—
51#16840422—21no—
52#16840420—21no—
53#16840410—21no—
54#16840386C2211yescharacteristic
55#16840383C2211yescharacteristic
56#16840381C2211yescharacteristic
57#16840375C2211yescharacteristic
58#16840374C2211yescharacteristic
59#16840366C2211yescharacteristic
60#16840342C2211yescharacteristic
61#16840341C2211yescharacteristic
62#16840341C2211yescharacteristic
63#16840341C2211yescharacteristic
64#16840316C2211yescharacteristic
65#16840314C2211yescharacteristic
66#16840311C2211yescharacteristic
67#16840310C2211yescharacteristic
68#16840309C2211yescharacteristic
69#16840307C2211yescharacteristic
70C4⋊Q8×D61C2211yescharacteristic
71#16840294C2211yescharacteristic
72#16840294C2211yescharacteristic
73#16840293C2211yescharacteristic
74#16840293C2211yescharacteristic
75#125×D61C2211yescharacteristic
76#16840244C2211yescharacteristic
77#16840241C2211yescharacteristic
78#16840241C2211yescharacteristic
79#16840241C2211yescharacteristic
80#16840230C2211yescharacteristic
81#16840172C2211yescharacteristic
82#16840171C2211yescharacteristic
83#16840170C2211yescharacteristic
84#16840170C2211yescharacteristic
85#16840169C2211yescharacteristic
86#16840169C2211yescharacteristic
87#16840168C2211yescharacteristic
88#16840157C2211yescharacteristic
89#16840156C2211yescharacteristic
90#16840153C2211yescharacteristic
91#16840153C2211yescharacteristic
92#16840150C2211yescharacteristic
93#16840150C2211yescharacteristic
94#16840149C2211yescharacteristic
95#16840129C2211yescharacteristic
96#16840129C2211yescharacteristic
97#16840125C2211yescharacteristic
98#16840125C2211yescharacteristic
99#16840120C2211yescharacteristic
100#16840120C2211yescharacteristic
101#16840120C2211yescharacteristic
102#16840120C2211yescharacteristic
103#16840119C2211yescharacteristic
104#16840117C2211yescharacteristic
105#16840116C2211yescharacteristic
106#16840114C2211yescharacteristic
107#16840113C2211yescharacteristic
108#16840108C2211yescharacteristic
109#16840021C2211yescharacteristic
110#16840020C2211yescharacteristic
111#16840019C2211yescharacteristic
112#16840018C2211yescharacteristic
113#16840014C2211yescharacteristic
114#16840013C2211yescharacteristic
115#16840012C2211yescharacteristic
116#16840009C2211yescharacteristic
117#16840008C2211yescharacteristic
118#16840007C2211yescharacteristic
119#16840007C2211yescharacteristic
120#16840006C2211yescharacteristic
121#16840006C2211yescharacteristic
122#16840005C2211yescharacteristic
123#16840004C2211yescharacteristic
124#16840003C2211yescharacteristic
125#16840002C2211yescharacteristic
126#16840001C2211yescharacteristic
127#16839997C2211yescharacteristic
128#16839996C2211yescharacteristic
129#16839995C2211yescharacteristic
130#16839992C2211yescharacteristic
131#16839991C2211yescharacteristic
132#16839990C2211yescharacteristic
133#16839990C2211yescharacteristic
134#16839989C2211yescharacteristic
135#16839989C2211yescharacteristic
136#16839988C2211yescharacteristic
137#16839874C2211yescharacteristic
138#16839872C2211yescharacteristic
139#16839871C2211yescharacteristic
140#16839870C2211yescharacteristic
141#16839868C2211yescharacteristic
142#16839867C2211yescharacteristic
143#16839866C2211yescharacteristic
144#16839864C2211yescharacteristic
145#16839863C2211yescharacteristic
146#16839862C2211yescharacteristic
147#16839862C2211yescharacteristic
148#16839861C2211yescharacteristic
149#16839859C2211yescharacteristic
150#16839859C2211yescharacteristic
151C4×Dic244C2211yescharacteristic
152#16839856C2211yescharacteristic
153C4×#11758202C2211yescharacteristic
154#16839854C2211yescharacteristic
155#16839853C2211yescharacteristic
156#16839853C2211yescharacteristic
157C4×#11758190C2211yescharacteristic
158SD16×Dic61C2211yescharacteristic
159#16839849C2211yescharacteristic
160C4×#11758200C2211yescharacteristic
161C4×#11758200C2211yescharacteristic
162D8×Dic61C2211yescharacteristic
163C4×#11758199C2211yescharacteristic
164#16839842C2211yescharacteristic
165#107×D61C2211yescharacteristic
166#107×D61C2211yescharacteristic
167#106×D61C2211yescharacteristic
168#106×D61C2211yescharacteristic
169#16839762C2211yescharacteristic
170#16839762C2211yescharacteristic
171#16839760C2211yescharacteristic
172#16839760C2211yescharacteristic
173#16839760C2211yescharacteristic
174#16839760C2211yescharacteristic
175#16839760C2211yescharacteristic
176#16839760C2211yescharacteristic
177#16839719C2211yescharacteristic
178#16839719C2211yescharacteristic
179#16839718C2211yescharacteristic
180#16839716C2211yescharacteristic
181#16839716C2211yescharacteristic
182M16×Dic61C2211yescharacteristic
183C4×#11758189C2211yescharacteristic
184C4×#11758189C2211yescharacteristic
185C2×#14519687C2211yescharacteristic
186#97×D61C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#542C2211yescharacteristic
189C61×#540C2211yescharacteristic
190C61×#501C2211yescharacteristic
191C61×#496C2211yescharacteristic
192C61×#488C2211yescharacteristic
193C61×#486C2211yescharacteristic
194C61×#469C2211yescharacteristic
195C61×#468C2211yescharacteristic
196C61×#466C2211yescharacteristic
197C61×#465C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic
202C61×#405C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×#11758224C2311yescharacteristic
209C2×#11758224C2311yescharacteristic
210C2×Q8×D61—21no—
211#14519798—24no—
212#14519798—24no—
213#14519796—24no—
214#14519796—24no—
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227#14519785—24no—
228#14519783—24no—
229C2×#11758194C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C2×#11758189C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C22×#92418C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239#14519777C2311yescharacteristic
240#14519777C2311yescharacteristic
241#14519776—21no—
242#14519776C2311yescharacteristic
243#14519776C2311yescharacteristic
244#14519775—21no—
245#14519775C2311yescharacteristic
246#14519773C2311yescharacteristic
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519769C2311yescharacteristic
259#14519768—21no—
260#14519768—21no—
261#14519768C2311yescharacteristic
262#14519768C2311yescharacteristic
263#14519767—21no—
264#14519767—21no—
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519766—21no—
270#14519765C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519762—21no—
278#14519761—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758—21no—
285#14519758—21no—
286#14519757C2311yescharacteristic
287#14519757C2311yescharacteristic
288#14519757C2311yescharacteristic
289#14519756C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519756C2311yescharacteristic
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519753—21no—
301#14519753C2311yescharacteristic
302#14519752—21no—
303#14519752C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519750—21no—
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519748—21no—
320#14519748—21no—
321#14519748—21no—
322#14519748—21no—
323#14519748—21no—
324#14519748C2311yescharacteristic
325#14519748C2311yescharacteristic
326#14519748C2311yescharacteristic
327Q8×Dic61C2311yescharacteristic
328C4×Dic122—21no—
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332#14519742—21no—
333#14519742D411yescharacteristic
334#14519742D411yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338C4×D244—21no—
339C4×D244C2311yescharacteristic
340D4×Dic61—21no—
341D4×Dic61—21no—
342D4×Dic61—21no—
343D4×Dic61—21no—
344D4×Dic61C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346D4×Dic61C2311yescharacteristic
347#14519739—21no—
348#14519739D411yescharacteristic
349#14519739D411yescharacteristic
350#14519739C2311yescharacteristic
351C4×C22⋊D61—21no—
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737D411yescharacteristic
364#14519737D411yescharacteristic
365#14519737D411yescharacteristic
366#14519737D411yescharacteristic
367#14519736—21no—
368#14519736—21no—
369#14519734—21no—
370#14519734—21no—
371#14519734C2311yescharacteristic
372#14519734C2311yescharacteristic
373#14519733—21no—
374#14519733—21no—
375#14519733—21no—
376#14519733—21no—
377#14519733—21no—
378#14519733—21no—
379C2×#11758196—21no—
380C2×#11758196—21no—
381C2×#11758196—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C4⋊C4×D61—21no—
386C4⋊C4×D61C2311yescharacteristic
387C4⋊C4×D61C2311yescharacteristic
388C4⋊C4×D61C2311yescharacteristic
389C4⋊C4×D61C2311yescharacteristic
390C2×C4×Dic61C2311yescharacteristic
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433#14519687C2311yescharacteristic
434#14519687C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C4×#92418C2311yescharacteristic
438C4×#92418C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#127×C61C2311yescharacteristic
449#126×C61—21no—
450#125×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454#123×C61—21no—
455#123×C61—21no—
456C22⋊Q8×C61—21no—
457C22⋊Q8×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#121×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#107×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C2×Q8×C61—21no—
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61—21no—
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C2×D4×C61C2411yescharacteristic
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61—21no—
497C22×C4×C61C2411yescharacteristic
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61C2×D411yescharacteristic
508C2×C22⋊D61C2×D411yescharacteristic
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517#11758226—22no—
518#11758226—22no—
519Q8×D61—82no—
520#11758224—22no—
521#11758224—22no—
522#11758224—22no—
523#11758224—22no—
524#11758224—22no—
525#11758224—22no—
526#11758224—82no—
527#11758222—22no—
528#11758222—22no—
529#11758222—82no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244C2×D411yescharacteristic
533C2×D244C2411yescharacteristic
534C2×C4×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2×D411yescharacteristic
544C2×C4×D61C2×D411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122C2×D411yescharacteristic
551C2×Dic122C2411yescharacteristic
552C2×Dic122C2411yescharacteristic
553C2×Dic122C2411yescharacteristic
554SD16×C61—22no—
555SD16×C61—22no—
556D8×C61—22no—
557D8×C61—22no—
558M16×C61—22no—
559C2×C8×C61—22no—
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C42×C61—21no—
587C42×C61C2411yescharacteristic
588C42×C61C2411yescharacteristic
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602#11758202—22no—
603#11758202—22no—
604#11758200—22no—
605#11758200—22no—
606#11758200—22no—
607#11758200—22no—
608#11758199—22no—
609#11758199—22no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661#11758196C2×D411yescharacteristic
662#11758196C2×D411yescharacteristic
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678#11758194—22no—
679C2×#92418—22no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684Dic244—22no—
685Dic244—22no—
686#11758190—22no—
687#11758190—22no—
688#11758189—22no—
689#11758189—22no—
690#11758189—22no—
691#11758189—22no—
692C8×D61—22no—
693C8×D61—22no—
694C8×D61#4114yescomplemented
695C8×D61#4114yescomplemented
696C23×C61—21no—
697C23×C61—21no—
698C23×C61—21no—
699C23×C61C22×D411yescharacteristic
700C22×D61—21no—
701C22×D61C22×D411yescharacteristic
702C22×D61C22×D411yescharacteristic
703Q8×C61—21no—
704Q8×C61—21no—
705Q8×C61—81no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—21no—
710D4×C61—21no—
711D4×C61—21no—
712D4×C61—81no—
713D4×C61—81no—
714D4×C61—81no—
715D4×C61—81no—
716D4×C61—81no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—81no—
725C2×C4×C61—81no—
726C2×C4×C61—81no—
727C2×C4×C61C22×D411yescharacteristic
728C2×C4×C61C22×D411yescharacteristic
729C2×C4×C61C22×D411yescharacteristic
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C2511yescharacteristic
733C22⋊D61—22no—
734C22⋊D61—22no—
735C22⋊D61—42no—
736C22⋊D61—42no—
737C22⋊D61—42no—
738C22⋊D61—42no—
739C22⋊D61—42no—
740C22⋊D61—81no—
741C22⋊D61—81no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—41no—
752C2×Dic61—41no—
753C2×Dic61—42no—
754C2×Dic61—42no—
755C2×Dic61—42no—
756C2×Dic61—81no—
757C2×Dic61—81no—
758C2×Dic61—81no—
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765D244—22no—
766D244—21no—
767D244—21no—
768D244—42no—
769D244—81no—
770C4×D61—21no—
771C4×D61—21no—
772C4×D61—41no—
773C4×D61—41no—
774C4×D61—41no—
775C4×D61—41no—
776C4×D61—42no—
777C4×D61—81no—
778C4×D61—81no—
779C4×D61—81no—
780C4×D61—81no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61C2×#4112yes—
784C4×D61C2×#4112yes—
785Dic122—22no—
786Dic122—21no—
787Dic122—21no—
788Dic122—21no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—42no—
793Dic122—42no—
794Dic122—81no—
795C8×C61—21no—
796C8×C61—21no—
797C8×C61C2×#4112yes—
798C8×C61C2×#4112yes—
799#92418—21no—
800#92418—21no—
801#92418C2×#4112yes—
802#92418C2×#4112yes—
803#60721—611nomaximal, Sylow
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61C23×D411yescharacteristic
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61#53212yes—
826C4×C61—21no—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—41no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61C22×#4111yescharacteristic
837C4×C61C22×#4111yescharacteristic
838Dic61—21no—
839Dic61—21no—
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61#53212yes—
851#3512—611no—
852#3511—611no—
853#3181—611no—
854#3181—611no—
855#3180—611no—
856#3180—611no—
857#3179—611no—
858#3179—611no—
859#3179—611no—
860#3179D6111yescharacteristic, complemented
861#3178—611no—
862#3178—611no—
863#3178—611no—
864#3178—611no—
865#3172—611no—
866#3172—611no—
867#3171—611no—
868#3171—611no—
869C2×#501—611no—
870#3150—611no—
871#3142—611no—
872#3141—611no—
873#3061—611no—
874#3061—611no—
875#3060—611no—
876#3060—611no—
877#2952—611no—
878#2952—611no—
879#2951—611no—
880#2951—611no—
881#2875—611no—
882C2×C61—41no—
883C2×C61—81no—
884C2×C61—81no—
885C2×C61—81no—
886C2×C61C2×#53211yescharacteristic
887C2×C61#358511yescharacteristic
888C2×C61#358611yescharacteristic
889D61—22no—
890D61—41no—
891D61—81no—
892C2×#135—611no—
893C2×#135—611no—
894C2×#135—611no—
895C2×#135—611no—
896C2×#131—611no—
897C2×#131—611no—
898#556—1221no—
899#555—1221no—
900#554—1221no—
901#553—1221no—
902#553—1221no—
903#553—1221no—
904#553—1221no—
905#553—1221no—
906#553—1221no—
907#553—1221no—
908#553—1221no—
909#552—1221no—
910#552—1221no—
911#548—1221no—
912#548—1221no—
913#547—1221no—
914#542—611no—
915#542—611no—
916#542—611no—
917#542C2×D6111yescharacteristic
918#541—611no—
919#541—611no—
920#540—611no—
921#540C2×D6111yescharacteristic
922#537—611no—
923#537—611no—
924#537—611no—
925#537—611no—
926#533—611no—
927#533—611no—
928#532—611no—
929#532—611no—
930#532—611no—
931#532—611no—
932C2×C4⋊Q8—611no—
933#529—611no—
934#529—611no—
935#529—611no—
936#529—611no—
937C2×#125—611no—
938#520—611no—
939#520—611no—
940#520—611no—
941#520—611no—
942C4×#41—611no—
943#501—611no—
944#501—611no—
945#501—611no—
946#501—611no—
947#501—611no—
948#501—611no—
949#501—611no—
950#501C2×D6111yescharacteristic
951#497—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#496—611no—
957#496—611no—
958#496C2×D6111yescharacteristic
959#491—611no—
960#491—611no—
961#490—611no—
962#490—611no—
963#489—611no—
964#489—611no—
965#489—611no—
966#489—611no—
967#488—611no—
968#488—611no—
969#488—611no—
970#488C2×D6111yescharacteristic
971#487—611no—
972#487—611no—
973#486—611no—
974#486C2×D6111yescharacteristic
975#470—611no—
976#470—611no—
977#470—611no—
978#470—611no—
979#469—611no—
980#469—611no—
981#469—611no—
982#469C2×D6111yescharacteristic
983#468—611no—
984#468—611no—
985#468—611no—
986#468—611no—
987#468—611no—
988#468—611no—
989#468—611no—
990#468C2×D6111yescharacteristic
991#467—611no—
992#467—611no—
993#467—611no—
994#467—611no—
995#466—611no—
996#466—611no—
997#466—611no—
998#466C2×D6111yescharacteristic
999#465—611no—
1000#465—611no—
1001#465—611no—
1002#465—611no—
1003#465—611no—
1004#465—611no—
1005#465—611no—
1006#465C2×D6111yescharacteristic
1007#442—611no—
1008#442—611no—
1009#442—611no—
1010#442C2×D6111yescharacteristic
1011#441—611no—
1012#441—611no—
1013#441—611no—
1014#441—611no—
1015#440—611no—
1016#440—611no—
1017#440—611no—
1018#440—611no—
1019#440—611no—
1020#440—611no—
1021#440—611no—
1022#440C2×D6111yescharacteristic
1023C4×Q16—611no—
1024C4×Q16—611no—
1025C4×Q16—611no—
1026C4×Q16—611no—
1027C4×SD16—611no—
1028C4×SD16—611no—
1029C4×SD16—611no—
1030C4×SD16—611no—
1031C4×SD16—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16C2×D6111yescharacteristic
1035C4×D8—611no—
1036C4×D8—611no—
1037C4×D8—611no—
1038C4×D8C2×D6111yescharacteristic
1039C2×#107—611no—
1040C2×#107—611no—
1041C2×#106—611no—
1042C2×#106—611no—
1043#417—611no—
1044#417—611no—
1045#417—611no—
1046#417—611no—
1047#417—611no—
1048#417—611no—
1049#417—611no—
1050#417—611no—
1051#405—611no—
1052#405—611no—
1053#405—611no—
1054#405—611no—
1055#405—611no—
1056#405C2×D6111yescharacteristic
1057C4×M16—611no—
1058C4×M16—611no—
1059C4×M16—611no—
1060C2×#97—611no—
1061C2×#97—611no—
1062C2×#97—611no—
1063C61#6072111yescharacteristic, complemented, Sylow
1064C2×#41—611no—
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C2×#41—611no—
1069C2×#41—1221no—
1070C2×#41—1221no—
1071C22×Q8—1221no—
1072#135—1224no—
1073#135—1224no—
1074#135—1224no—
1075#135—1224no—
1076C2×Q16—611no—
1077C2×Q16—611no—
1078C2×Q16—611no—
1079C2×Q16—611no—
1080C2×SD16—611no—
1081C2×SD16—611no—
1082C2×SD16—611no—
1083C2×SD16—611no—
1084C2×SD16—611no—
1085C2×SD16—611no—
1086C2×SD16C22×D6111yescharacteristic
1087C2×SD16C22×D6111yescharacteristic
1088C2×D8—611no—
1089C2×D8—611no—
1090C2×D8C22×D6111yescharacteristic
1091C2×D8C22×D6111yescharacteristic
1092#131—1224no—
1093#131—1224no—
1094C2×M16—611no—
1095C2×M16—611no—
1096C2×M16—611no—
1097C2×M16—611no—
1098C2×M16—611no—
1099C2×M16C22×D6111yescharacteristic
1100C22×C8—611no—
1101C22×C8—611no—
1102C22×C8—611no—
1103C22×C8—611no—
1104C22×C8—611no—
1105C22×C8C22×D6111yescharacteristic
1106C4⋊Q8—611no—
1107C4⋊Q8—611no—
1108C4⋊Q8—611no—
1109C4⋊Q8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—1221no—
1112C4⋊Q8—1221no—
1113C4⋊Q8C22×D6111yescharacteristic
1114#127—611no—
1115#127C22×D6111yescharacteristic
1116#126—21no—
1117#126—1221no—
1118#126—1221no—
1119#126—1221no—
1120#126—1221no—
1121#126—1221no—
1122#126—1221no—
1123#126—1221no—
1124#126—1221no—
1125#126—1221no—
1126#126—1221no—
1127#126—1221no—
1128#125—611no—
1129#125—611no—
1130#125—611no—
1131#125—1221no—
1132#125—1221no—
1133#125—1221no—
1134#125—1221no—
1135#125—1221no—
1136#125—1221no—
1137#125—1221no—
1138#125—1221no—
1139#125C22×D6111yescharacteristic
1140#124—21no—
1141#124—611no—
1142#124—611no—
1143#124—611no—
1144#124—1221no—
1145#124—1221no—
1146#124—1221no—
1147#124—1221no—
1148#124—1221no—
1149#124C22×D6111yescharacteristic
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—1221no—
1154#123—1221no—
1155#123—1221no—
1156#123—1221no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162C22⋊Q8—21no—
1163C22⋊Q8—611no—
1164C22⋊Q8—611no—
1165C22⋊Q8—611no—
1166C22⋊Q8—611no—
1167C22⋊Q8—611no—
1168C22⋊Q8—611no—
1169C22⋊Q8—611no—
1170C22⋊Q8—1221no—
1171C22⋊Q8—1221no—
1172C22⋊Q8—1221no—
1173C22⋊Q8—1221no—
1174C22⋊Q8—1221no—
1175C22⋊Q8—1221no—
1176C22⋊Q8—1221no—
1177C22⋊Q8—1221no—
1178C22⋊Q8—1221no—
1179C22⋊Q8C22×D6111yescharacteristic
1180#121—21no—
1181#121—21no—
1182#121—611no—
1183#121—611no—
1184#121—611no—
1185#121—611no—
1186#121—611no—
1187#121—1221no—
1188#121—1221no—
1189#121—1221no—
1190#121—1221no—
1191#121—1221no—
1192#121—1221no—
1193#121—1221no—
1194#121—1221no—
1195#121—1221no—
1196#121—1221no—
1197#121—1221no—
1198#121—1221no—
1199#121—1221no—
1200#121—1221no—
1201#121—1221no—
1202#121—1221no—
1203#121—1221no—
1204#121—1221no—
1205#121—1221no—
1206#121—1221no—
1207#121C22×D6111yescharacteristic
1208#121C22×D6111yescharacteristic
1209#121C22×D6111yescharacteristic
1210C4×Q8—611no—
1211C4×Q8—611no—
1212C4×Q8—611no—
1213C4×Q8—611no—
1214C4×Q8—611no—
1215C4×Q8—611no—
1216C4×Q8—611no—
1217C4×Q8—611no—
1218C4×Q8—611no—
1219C4×Q8—1221no—
1220C4×Q8—1221no—
1221C4×Q8C22×D6111yescharacteristic
1222C4×D4—611no—
1223C4×D4—611no—
1224C4×D4—611no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—611no—
1230C4×D4—611no—
1231C4×D4—611no—
1232C4×D4—611no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4—1221no—
1238C4×D4—1221no—
1239C4×D4—1221no—
1240C4×D4—1221no—
1241C4×D4—1221no—
1242C4×D4—1221no—
1243C4×D4—1221no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4—1221no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4C22×D6111yescharacteristic
1252C4×D4C22×D6111yescharacteristic
1253C4×D4C22×D6111yescharacteristic
1254#117—611no—
1255#117—611no—
1256#117—1221no—
1257#117—1221no—
1258#117—1221no—
1259#117—1221no—
1260#117—1221no—
1261#117—1221no—
1262#117—1221no—
1263#117—1221no—
1264#117—1221no—
1265#117—1221no—
1266#117C22×D6111yescharacteristic
1267C2×C4⋊C4—611no—
1268C2×C4⋊C4—611no—
1269C2×C4⋊C4—611no—
1270C2×C4⋊C4—611no—
1271C2×C4⋊C4—1221no—
1272C2×C4⋊C4—1221no—
1273C2×C4⋊C4—1221no—
1274C2×C4⋊C4—1221no—
1275C2×C4⋊C4—1221no—
1276C2×C4⋊C4—1221no—
1277C2×C4⋊C4—1221no—
1278C2×C42—611no—
1279C2×C42—611no—
1280C2×C42—611no—
1281#107—611no—
1282#107—611no—
1283#107—611no—
1284#107—611no—
1285#107—611no—
1286#107—611no—
1287#107C22×D6111yescharacteristic
1288#107C22×D6111yescharacteristic
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106—611no—
1295#106C22×D6111yescharacteristic
1296#106C22×D6111yescharacteristic
1297#103—611no—
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103—611no—
1311#103C22×D6111yescharacteristic
1312#103C22×D6111yescharacteristic
1313#102—611no—
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102C22×D6111yescharacteristic
1324#102C22×D6111yescharacteristic
1325#102C22×D6111yescharacteristic
1326#102C22×D6111yescharacteristic
1327#102C22×D6111yescharacteristic
1328#102C22×D6111yescharacteristic
1329#97—611no—
1330#97—611no—
1331#97—611no—
1332#97—611no—
1333#97—611no—
1334#97—611no—
1335#97—611no—
1336#97—611no—
1337#97C22×D6111yescharacteristic
1338#97C22×D6111yescharacteristic
1339C4×C8—611no—
1340C4×C8—611no—
1341C4×C8—611no—
1342C4×C8—611no—
1343C4×C8C22×D6111yescharacteristic
1344C4×C8C22×D6111yescharacteristic
1345#41—1222no—
1346#41—1222no—
1347#41—1222no—
1348#41—1222no—
1349#41—1222no—
1350#41—1222no—
1351#41—1222no—
1352#41—1222no—
1353#41—1222no—
1354#41—1222no—
1355#41—4882no—
1356#41—4882no—
1357C2×Q8—21no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—611no—
1361C2×Q8—611no—
1362C2×Q8—1221no—
1363C2×Q8—1221no—
1364C2×Q8—1221no—
1365C2×Q8—4882no—
1366C2×Q8C23×D6111yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—611no—
1373C2×D4—611no—
1374C2×D4—611no—
1375C2×D4—611no—
1376C2×D4—1221no—
1377C2×D4—1221no—
1378C2×D4—1221no—
1379C2×D4—1221no—
1380C2×D4—1221no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4C23×D6111yescharacteristic
1388C2×D4C23×D6111yescharacteristic
1389C2×D4C23×D6111yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—1221no—
1413C22×C4—1221no—
1414C22×C4C23×D6111yescharacteristic
1415Q16—1222no—
1416Q16—1222no—
1417Q16—1222no—
1418Q16—1222no—
1419SD16—22no—
1420SD16—22no—
1421SD16—1222no—
1422SD16—1222no—
1423SD16—1222no—
1424SD16—1222no—
1425SD16—1222no—
1426SD16—1222no—
1427D8—22no—
1428D8—22no—
1429D8—1222no—
1430D8—1222no—
1431M16—22no—
1432M16—1222no—
1433M16—1222no—
1434M16—1222no—
1435M16—1222no—
1436M16—1222no—
1437C2×C8—22no—
1438C2×C8—611no—
1439C2×C8—611no—
1440C2×C8—614no—
1441C2×C8—614no—
1442C2×C8—611no—
1443C2×C8—611no—
1444C2×C8—1222no—
1445C2×C8—1222no—
1446C2×C8—1222no—
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C2×C8C23×D6111yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4D4×D6111yescharacteristic
1496C4⋊C4D4×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C4⋊C4C23×D6111yescharacteristic
1499C4⋊C4C23×D6111yescharacteristic
1500C4⋊C4C23×D6111yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—611no—
1513C22⋊C4—611no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4D4×D6111yescharacteristic
1538C22⋊C4D4×D6111yescharacteristic
1539C42—21no—
1540C42—611no—
1541C42—611no—
1542C42—611no—
1543C42—611no—
1544C42—611no—
1545C42—611no—
1546C42—611no—
1547C42—611no—
1548C42—1221no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42C23×D6111yescharacteristic
1556C42C23×D6111yescharacteristic
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—611no—
1561C23—611no—
1562C23—1221no—
1563C23C2×D4×D6111yescharacteristic
1564Q8—21no—
1565Q8—21no—
1566Q8—81no—
1567Q8—1222no—
1568Q8—1221no—
1569Q8—1221no—
1570Q8—1221no—
1571Q8—1221no—
1572Q8—1221no—
1573Q8—1221no—
1574Q8—4881no—
1575Q8—2442no—
1576Q8—2442no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—1222no—
1589D4—1222no—
1590D4—1222no—
1591D4—1221no—
1592D4—1221no—
1593D4—4881no—
1594D4—4881no—
1595D4—4881no—
1596D4—4881no—
1597D4—4881no—
1598D4—2442no—
1599D4—2442no—
1600D4—2442no—
1601D4—2442no—
1602D4—2442no—
1603D4—2442no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—611no—
1615C2×C4—612no—
1616C2×C4—612no—
1617C2×C4—611no—
1618C2×C4—611no—
1619C2×C4—611no—
1620C2×C4—611no—
1621C2×C4—611no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—4881no—
1632C2×C4—4881no—
1633C2×C4—4881no—
1634C2×C4—4881no—
1635C2×C4—4881no—
1636C2×C4—4881no—
1637C2×C4—4881no—
1638C2×C4—4881no—
1639C2×C4—4881no—
1640C2×C4—2441no—
1641C2×C4—2441no—
1642C2×C4—2441no—
1643C2×C4—2441no—
1644C2×C4—2442no—
1645C2×C4—2442no—
1646C2×C4—2442no—
1647C2×C4—2442no—
1648C2×C4—2441no—
1649C2×C4—2441no—
1650C2×C4C2×D4×D6111yescharacteristic
1651C2×C4C2×D4×D6111yescharacteristic
1652C2×C4C2×D4×D6111yescharacteristic
1653C2×C4C2×D4×D6111yescharacteristic
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C24×D6111yescharacteristic
1656C8—21no—
1657C8—21no—
1658C8—612no—
1659C8—612no—
1660C8—1221no—
1661C8—1221no—
1662C8#41×D6112yes—
1663C8#41×D6112yes—
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—612no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—1221no—
1681C22—1221no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22C22×D4×D6111yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—612no—
1697C4—1221no—
1698C4—1221no—
1699C4—1221no—
1700C4—1221no—
1701C4—1221no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4C2×#41×D6111yescharacteristic
1710C4C2×#41×D6111yescharacteristic
1711C2—41no—
1712C2—81no—
1713C2—81no—
1714C2—81no—
1715C2—1222no—
1716C2—4881no—
1717C2—2441no—
1718C2#532×D6111yescharacteristic
1719C2#2146059411yescharacteristic
1720C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3179C2
socleC22×C61C23×D4
hypercenter#3179D61
hypocenterC61#60721
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #21459738C2semidirect
2. #21459724C2semidirect
3. #21456524C2semidirect
4. #21456521C2semidirect
5. #21456515C2semidirect
6. #21456512C2semidirect
7. #21456509C2semidirect
8. #21456504C2semidirect
9. #21456499C2semidirect
10. #21456492C2semidirect
11. #21456487C2semidirect
12. #21456486C2semidirect
13. #21456481C2semidirect
14. #21456421C2semidirect
15. #21456418C2semidirect
16. #21456412C2semidirect
17. #21456409C2semidirect
18. #501×D61C2semidirect
19. #21456261C2semidirect
20. #21456216C2semidirect
21. #21456209C2semidirect
22. #21455487C2semidirect
23. #21455484C2semidirect
24. #21455479C2semidirect
25. #21455476C2semidirect
26. #21454701C2semidirect
27. #21454697C2semidirect
28. #21454691C2semidirect
29. #21454689C2semidirect
30. #21454246C2semidirect
31. C61×#3179C2semidirect
694. C8×D61#41semidirect
695. C8×D61#41semidirect
860. #3179D61semidirect
1063. C61#60721semidirect

Maximal subgroups

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

subgroupindex
#214597382
#214597242
#214565242
#214565212
#214565152
#214565122
#214565092
#214565042
#214564992
#214564922
#214564872
#214564862
#214564812
#214564212
#214564182
#214564122
#214564092
#501×D612
#214562612
#214562162
#214562092
#214554872
#214554842
#214554792
#214554762
#214547012
#214546972
#214546912
#214546892
#214542462
C61×#31792
#6072161